# Minimal valid case: an empty histogram. load 5m empty_histogram {{}} eval instant at 5m empty_histogram {__name__="empty_histogram"} {{}} eval instant at 5m histogram_count(empty_histogram) {} 0 eval instant at 5m histogram_sum(empty_histogram) {} 0 eval instant at 5m histogram_avg(empty_histogram) {} NaN eval instant at 5m histogram_fraction(-Inf, +Inf, empty_histogram) {} NaN eval instant at 5m histogram_fraction(0, 8, empty_histogram) {} NaN # buckets:[1 2 1] means 1 observation in the 1st bucket, 2 observations in the 2nd and 1 observation in the 3rd (total 4). load 5m single_histogram {{schema:0 sum:5 count:4 buckets:[1 2 1]}} # histogram_count extracts the count property from the histogram. eval instant at 5m histogram_count(single_histogram) {} 4 # histogram_sum extracts the sum property from the histogram. eval instant at 5m histogram_sum(single_histogram) {} 5 # histogram_avg calculates the average from sum and count properties. eval instant at 5m histogram_avg(single_histogram) {} 1.25 # We expect half of the values to fall in the range 1 < x <= 2. eval instant at 5m histogram_fraction(1, 2, single_histogram) {} 0.5 # We expect all values to fall in the range 0 < x <= 8. eval instant at 5m histogram_fraction(0, 8, single_histogram) {} 1 # Median is 1.5 due to linear estimation of the midpoint of the middle bucket, whose values are within range 1 < x <= 2. eval instant at 5m histogram_quantile(0.5, single_histogram) {} 1.5 # Repeat the same histogram 10 times. load 5m multi_histogram {{schema:0 sum:5 count:4 buckets:[1 2 1]}}x10 eval instant at 5m histogram_count(multi_histogram) {} 4 eval instant at 5m histogram_sum(multi_histogram) {} 5 eval instant at 5m histogram_avg(multi_histogram) {} 1.25 eval instant at 5m histogram_fraction(1, 2, multi_histogram) {} 0.5 eval instant at 5m histogram_quantile(0.5, multi_histogram) {} 1.5 # Each entry should look the same as the first. eval instant at 50m histogram_count(multi_histogram) {} 4 eval instant at 50m histogram_sum(multi_histogram) {} 5 eval instant at 50m histogram_avg(multi_histogram) {} 1.25 eval instant at 50m histogram_fraction(1, 2, multi_histogram) {} 0.5 eval instant at 50m histogram_quantile(0.5, multi_histogram) {} 1.5 # Accumulate the histogram addition for 10 iterations, offset is a bucket position where offset:0 is always the bucket # with an upper limit of 1 and offset:1 is the bucket which follows to the right. Negative offsets represent bucket # positions for upper limits <1 (tending toward zero), where offset:-1 is the bucket to the left of offset:0. load 5m incr_histogram {{schema:0 sum:4 count:4 buckets:[1 2 1]}}+{{sum:2 count:1 buckets:[1] offset:1}}x10 eval instant at 5m histogram_count(incr_histogram) {} 5 eval instant at 5m histogram_sum(incr_histogram) {} 6 eval instant at 5m histogram_avg(incr_histogram) {} 1.2 # We expect 3/5ths of the values to fall in the range 1 < x <= 2. eval instant at 5m histogram_fraction(1, 2, incr_histogram) {} 0.6 eval instant at 5m histogram_quantile(0.5, incr_histogram) {} 1.5 eval instant at 50m incr_histogram {__name__="incr_histogram"} {{count:14 sum:24 buckets:[1 12 1]}} eval instant at 50m histogram_count(incr_histogram) {} 14 eval instant at 50m histogram_sum(incr_histogram) {} 24 eval instant at 50m histogram_avg(incr_histogram) {} 1.7142857142857142 # We expect 12/14ths of the values to fall in the range 1 < x <= 2. eval instant at 50m histogram_fraction(1, 2, incr_histogram) {} 0.8571428571428571 eval instant at 50m histogram_quantile(0.5, incr_histogram) {} 1.5 # Per-second average rate of increase should be 1/(5*60) for count and buckets, then 2/(5*60) for sum. eval instant at 50m rate(incr_histogram[5m]) {} {{count:0.0033333333333333335 sum:0.006666666666666667 offset:1 buckets:[0.0033333333333333335]}} # Calculate the 50th percentile of observations over the last 10m. eval instant at 50m histogram_quantile(0.5, rate(incr_histogram[10m])) {} 1.5 # Schema represents the histogram resolution, different schema have compatible bucket boundaries, e.g.: # 0: 1 2 4 8 16 32 64 (higher resolution) # -1: 1 4 16 64 (lower resolution) # # Histograms can be merged as long as the histogram to the right is same resolution or higher. load 5m low_res_histogram {{schema:-1 sum:4 count:1 buckets:[1] offset:1}}+{{schema:0 sum:4 count:4 buckets:[2 2] offset:1}}x1 eval instant at 5m low_res_histogram {__name__="low_res_histogram"} {{schema:-1 count:5 sum:8 offset:1 buckets:[5]}} eval instant at 5m histogram_count(low_res_histogram) {} 5 eval instant at 5m histogram_sum(low_res_histogram) {} 8 eval instant at 5m histogram_avg(low_res_histogram) {} 1.6 # We expect all values to fall into the lower-resolution bucket with the range 1 < x <= 4. eval instant at 5m histogram_fraction(1, 4, low_res_histogram) {} 1 # z_bucket:1 means there is one observation in the zero bucket and z_bucket_w:0.5 means the zero bucket has the range # 0 < x <= 0.5. Sum and count are expected to represent all observations in the histogram, including those in the zero bucket. load 5m single_zero_histogram {{schema:0 z_bucket:1 z_bucket_w:0.5 sum:0.25 count:1}} eval instant at 5m histogram_count(single_zero_histogram) {} 1 eval instant at 5m histogram_sum(single_zero_histogram) {} 0.25 eval instant at 5m histogram_avg(single_zero_histogram) {} 0.25 # When only the zero bucket is populated, or there are negative buckets, the distribution is assumed to be equally # distributed around zero; i.e. that there are an equal number of positive and negative observations. Therefore the # entire distribution must lie within the full range of the zero bucket, in this case: -0.5 < x <= +0.5. eval instant at 5m histogram_fraction(-0.5, 0.5, single_zero_histogram) {} 1 # Half of the observations are estimated to be zero, as this is the midpoint between -0.5 and +0.5. eval instant at 5m histogram_quantile(0.5, single_zero_histogram) {} 0 # Let's turn single_histogram upside-down. load 5m negative_histogram {{schema:0 sum:-5 count:4 n_buckets:[1 2 1]}} eval instant at 5m histogram_count(negative_histogram) {} 4 eval instant at 5m histogram_sum(negative_histogram) {} -5 eval instant at 5m histogram_avg(negative_histogram) {} -1.25 # We expect half of the values to fall in the range -2 < x <= -1. eval instant at 5m histogram_fraction(-2, -1, negative_histogram) {} 0.5 eval instant at 5m histogram_quantile(0.5, negative_histogram) {} -1.5 # Two histogram samples. load 5m two_samples_histogram {{schema:0 sum:4 count:4 buckets:[1 2 1]}} {{schema:0 sum:-4 count:4 n_buckets:[1 2 1]}} # We expect to see the newest sample. eval instant at 10m histogram_count(two_samples_histogram) {} 4 eval instant at 10m histogram_sum(two_samples_histogram) {} -4 eval instant at 10m histogram_avg(two_samples_histogram) {} -1 eval instant at 10m histogram_fraction(-2, -1, two_samples_histogram) {} 0.5 eval instant at 10m histogram_quantile(0.5, two_samples_histogram) {} -1.5 # Add two histograms with negated data. load 5m balanced_histogram {{schema:0 sum:4 count:4 buckets:[1 2 1]}}+{{schema:0 sum:-4 count:4 n_buckets:[1 2 1]}}x1 eval instant at 5m histogram_count(balanced_histogram) {} 8 eval instant at 5m histogram_sum(balanced_histogram) {} 0 eval instant at 5m histogram_avg(balanced_histogram) {} 0 eval instant at 5m histogram_fraction(0, 4, balanced_histogram) {} 0.5 # If the quantile happens to be located in a span of empty buckets, the actually returned value is the lower bound of # the first populated bucket after the span of empty buckets. eval instant at 5m histogram_quantile(0.5, balanced_histogram) {} 0.5 # Add histogram to test sum(last_over_time) regression load 5m incr_sum_histogram{number="1"} {{schema:0 sum:0 count:0 buckets:[1]}}+{{schema:0 sum:1 count:1 buckets:[1]}}x10 incr_sum_histogram{number="2"} {{schema:0 sum:0 count:0 buckets:[1]}}+{{schema:0 sum:2 count:1 buckets:[1]}}x10 eval instant at 50m histogram_sum(sum(incr_sum_histogram)) {} 30 eval instant at 50m histogram_sum(sum(last_over_time(incr_sum_histogram[5m]))) {} 30 # Apply rate function to histogram. load 15s histogram_rate {{schema:1 count:12 sum:18.4 z_bucket:2 z_bucket_w:0.001 buckets:[1 2 0 1 1] n_buckets:[1 2 0 1 1]}}+{{schema:1 count:9 sum:18.4 z_bucket:1 z_bucket_w:0.001 buckets:[1 1 0 1 1] n_buckets:[1 1 0 1 1]}}x100 eval instant at 5m rate(histogram_rate[45s]) {} {{schema:1 count:0.6 sum:1.2266666666666652 z_bucket:0.06666666666666667 z_bucket_w:0.001 buckets:[0.06666666666666667 0.06666666666666667 0 0.06666666666666667 0.06666666666666667] n_buckets:[0.06666666666666667 0.06666666666666667 0 0.06666666666666667 0.06666666666666667]}} eval range from 5m to 5m30s step 30s rate(histogram_rate[45s]) {} {{schema:1 count:0.6 sum:1.2266666666666652 z_bucket:0.06666666666666667 z_bucket_w:0.001 buckets:[0.06666666666666667 0.06666666666666667 0 0.06666666666666667 0.06666666666666667] n_buckets:[0.06666666666666667 0.06666666666666667 0 0.06666666666666667 0.06666666666666667]}}x1 # Apply count and sum function to histogram. load 10m histogram_count_sum_2 {{schema:0 count:24 sum:100 z_bucket:4 z_bucket_w:0.001 buckets:[2 3 0 1 4] n_buckets:[2 3 0 1 4]}}x1 eval instant at 10m histogram_count(histogram_count_sum_2) {} 24 eval instant at 10m histogram_sum(histogram_count_sum_2) {} 100 # Apply stddev and stdvar function to histogram with {1, 2, 3, 4} (low res). load 10m histogram_stddev_stdvar_1 {{schema:2 count:4 sum:10 buckets:[1 0 0 0 1 0 0 1 1]}}x1 eval instant at 10m histogram_stddev(histogram_stddev_stdvar_1) {} 1.0787993180043811 eval instant at 10m histogram_stdvar(histogram_stddev_stdvar_1) {} 1.163807968526718 # Apply stddev and stdvar function to histogram with {1, 1, 1, 1} (high res). load 10m histogram_stddev_stdvar_2 {{schema:8 count:10 sum:10 buckets:[1 2 3 4]}}x1 eval instant at 10m histogram_stddev(histogram_stddev_stdvar_2) {} 0.0048960313898237465 eval instant at 10m histogram_stdvar(histogram_stddev_stdvar_2) {} 2.3971123370139447e-05 # Apply stddev and stdvar function to histogram with {-50, -8, 0, 3, 8, 9}. load 10m histogram_stddev_stdvar_3 {{schema:3 count:7 sum:62 z_bucket:1 buckets:[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 ] n_buckets:[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 ]}}x1 eval instant at 10m histogram_stddev(histogram_stddev_stdvar_3) {} 42.947236400258 eval instant at 10m histogram_stdvar(histogram_stddev_stdvar_3) {} 1844.4651144196398 # Apply stddev and stdvar function to histogram with {-100000, -10000, -1000, -888, -888, -100, -50, -9, -8, -3}. load 10m histogram_stddev_stdvar_4 {{schema:0 count:10 sum:-112946 z_bucket:0 n_buckets:[0 0 1 1 1 0 1 1 0 0 3 0 0 0 1 0 0 1]}}x1 eval instant at 10m histogram_stddev(histogram_stddev_stdvar_4) {} 27556.344499842 eval instant at 10m histogram_stdvar(histogram_stddev_stdvar_4) {} 759352122.1939945 # Apply stddev and stdvar function to histogram with {-10x10}. load 10m histogram_stddev_stdvar_5 {{schema:0 count:10 sum:-100 z_bucket:0 n_buckets:[0 0 0 0 10]}}x1 eval instant at 10m histogram_stddev(histogram_stddev_stdvar_5) {} 1.3137084989848 eval instant at 10m histogram_stdvar(histogram_stddev_stdvar_5) {} 1.725830020304794 # Apply stddev and stdvar function to histogram with {-50, -8, 0, 3, 8, 9, NaN}. load 10m histogram_stddev_stdvar_6 {{schema:3 count:7 sum:NaN z_bucket:1 buckets:[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 ] n_buckets:[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 ]}}x1 eval instant at 10m histogram_stddev(histogram_stddev_stdvar_6) {} NaN eval instant at 10m histogram_stdvar(histogram_stddev_stdvar_6) {} NaN # Apply stddev and stdvar function to histogram with {-50, -8, 0, 3, 8, 9, Inf}. load 10m histogram_stddev_stdvar_7 {{schema:3 count:7 sum:Inf z_bucket:1 buckets:[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 ] n_buckets:[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 ]}}x1 eval instant at 10m histogram_stddev(histogram_stddev_stdvar_7) {} NaN eval instant at 10m histogram_stdvar(histogram_stddev_stdvar_7) {} NaN # Apply quantile function to histogram with all positive buckets with zero bucket. load 10m histogram_quantile_1 {{schema:0 count:12 sum:100 z_bucket:2 z_bucket_w:0.001 buckets:[2 3 0 1 4]}}x1 eval instant at 10m histogram_quantile(1.001, histogram_quantile_1) {} Inf eval instant at 10m histogram_quantile(1, histogram_quantile_1) {} 16 eval instant at 10m histogram_quantile(0.99, histogram_quantile_1) {} 15.759999999999998 eval instant at 10m histogram_quantile(0.9, histogram_quantile_1) {} 13.600000000000001 eval instant at 10m histogram_quantile(0.6, histogram_quantile_1) {} 4.799999999999997 eval instant at 10m histogram_quantile(0.5, histogram_quantile_1) {} 1.6666666666666665 eval instant at 10m histogram_quantile(0.1, histogram_quantile_1) {} 0.0006000000000000001 eval instant at 10m histogram_quantile(0, histogram_quantile_1) {} 0 eval instant at 10m histogram_quantile(-1, histogram_quantile_1) {} -Inf # Apply quantile function to histogram with all negative buckets with zero bucket. load 10m histogram_quantile_2 {{schema:0 count:12 sum:100 z_bucket:2 z_bucket_w:0.001 n_buckets:[2 3 0 1 4]}}x1 eval instant at 10m histogram_quantile(1.001, histogram_quantile_2) {} Inf eval instant at 10m histogram_quantile(1, histogram_quantile_2) {} 0 eval instant at 10m histogram_quantile(0.99, histogram_quantile_2) {} -6.000000000000048e-05 eval instant at 10m histogram_quantile(0.9, histogram_quantile_2) {} -0.0005999999999999996 eval instant at 10m histogram_quantile(0.5, histogram_quantile_2) {} -1.6666666666666667 eval instant at 10m histogram_quantile(0.1, histogram_quantile_2) {} -13.6 eval instant at 10m histogram_quantile(0, histogram_quantile_2) {} -16 eval instant at 10m histogram_quantile(-1, histogram_quantile_2) {} -Inf # Apply quantile function to histogram with both positive and negative buckets with zero bucket. load 10m histogram_quantile_3 {{schema:0 count:24 sum:100 z_bucket:4 z_bucket_w:0.001 buckets:[2 3 0 1 4] n_buckets:[2 3 0 1 4]}}x1 eval instant at 10m histogram_quantile(1.001, histogram_quantile_3) {} Inf eval instant at 10m histogram_quantile(1, histogram_quantile_3) {} 16 eval instant at 10m histogram_quantile(0.99, histogram_quantile_3) {} 15.519999999999996 eval instant at 10m histogram_quantile(0.9, histogram_quantile_3) {} 11.200000000000003 eval instant at 10m histogram_quantile(0.7, histogram_quantile_3) {} 1.2666666666666657 eval instant at 10m histogram_quantile(0.55, histogram_quantile_3) {} 0.0006000000000000005 eval instant at 10m histogram_quantile(0.5, histogram_quantile_3) {} 0 eval instant at 10m histogram_quantile(0.45, histogram_quantile_3) {} -0.0005999999999999996 eval instant at 10m histogram_quantile(0.3, histogram_quantile_3) {} -1.266666666666667 eval instant at 10m histogram_quantile(0.1, histogram_quantile_3) {} -11.2 eval instant at 10m histogram_quantile(0.01, histogram_quantile_3) {} -15.52 eval instant at 10m histogram_quantile(0, histogram_quantile_3) {} -16 eval instant at 10m histogram_quantile(-1, histogram_quantile_3) {} -Inf # Apply fraction function to empty histogram. load 10m histogram_fraction_1 {{}}x1 eval instant at 10m histogram_fraction(3.1415, 42, histogram_fraction_1) {} NaN # Apply fraction function to histogram with positive and zero buckets. load 10m histogram_fraction_2 {{schema:0 count:12 sum:100 z_bucket:2 z_bucket_w:0.001 buckets:[2 3 0 1 4]}}x1 eval instant at 10m histogram_fraction(0, +Inf, histogram_fraction_2) {} 1 eval instant at 10m histogram_fraction(-Inf, 0, histogram_fraction_2) {} 0 eval instant at 10m histogram_fraction(-0.001, 0, histogram_fraction_2) {} 0 eval instant at 10m histogram_fraction(0, 0.001, histogram_fraction_2) {} 0.16666666666666666 eval instant at 10m histogram_fraction(0, 0.0005, histogram_fraction_2) {} 0.08333333333333333 eval instant at 10m histogram_fraction(0.001, inf, histogram_fraction_2) {} 0.8333333333333334 eval instant at 10m histogram_fraction(-inf, -0.001, histogram_fraction_2) {} 0 eval instant at 10m histogram_fraction(1, 2, histogram_fraction_2) {} 0.25 eval instant at 10m histogram_fraction(1.5, 2, histogram_fraction_2) {} 0.125 eval instant at 10m histogram_fraction(1, 8, histogram_fraction_2) {} 0.3333333333333333 eval instant at 10m histogram_fraction(1, 6, histogram_fraction_2) {} 0.2916666666666667 eval instant at 10m histogram_fraction(1.5, 6, histogram_fraction_2) {} 0.16666666666666666 eval instant at 10m histogram_fraction(-2, -1, histogram_fraction_2) {} 0 eval instant at 10m histogram_fraction(-2, -1.5, histogram_fraction_2) {} 0 eval instant at 10m histogram_fraction(-8, -1, histogram_fraction_2) {} 0 eval instant at 10m histogram_fraction(-6, -1, histogram_fraction_2) {} 0 eval instant at 10m histogram_fraction(-6, -1.5, histogram_fraction_2) {} 0 eval instant at 10m histogram_fraction(42, 3.1415, histogram_fraction_2) {} 0 eval instant at 10m histogram_fraction(0, 0, histogram_fraction_2) {} 0 eval instant at 10m histogram_fraction(0.000001, 0.000001, histogram_fraction_2) {} 0 eval instant at 10m histogram_fraction(42, 42, histogram_fraction_2) {} 0 eval instant at 10m histogram_fraction(-3.1, -3.1, histogram_fraction_2) {} 0 eval instant at 10m histogram_fraction(3.1415, NaN, histogram_fraction_2) {} NaN eval instant at 10m histogram_fraction(NaN, 42, histogram_fraction_2) {} NaN eval instant at 10m histogram_fraction(NaN, NaN, histogram_fraction_2) {} NaN eval instant at 10m histogram_fraction(-Inf, +Inf, histogram_fraction_2) {} 1 # Apply fraction function to histogram with negative and zero buckets. load 10m histogram_fraction_3 {{schema:0 count:12 sum:100 z_bucket:2 z_bucket_w:0.001 n_buckets:[2 3 0 1 4]}}x1 eval instant at 10m histogram_fraction(0, +Inf, histogram_fraction_3) {} 0 eval instant at 10m histogram_fraction(-Inf, 0, histogram_fraction_3) {} 1 eval instant at 10m histogram_fraction(-0.001, 0, histogram_fraction_3) {} 0.16666666666666666 eval instant at 10m histogram_fraction(0, 0.001, histogram_fraction_3) {} 0 eval instant at 10m histogram_fraction(-0.0005, 0, histogram_fraction_3) {} 0.08333333333333333 eval instant at 10m histogram_fraction(0.001, inf, histogram_fraction_3) {} 0 eval instant at 10m histogram_fraction(-inf, -0.001, histogram_fraction_3) {} 0.8333333333333334 eval instant at 10m histogram_fraction(1, 2, histogram_fraction_3) {} 0 eval instant at 10m histogram_fraction(1.5, 2, histogram_fraction_3) {} 0 eval instant at 10m histogram_fraction(1, 8, histogram_fraction_3) {} 0 eval instant at 10m histogram_fraction(1, 6, histogram_fraction_3) {} 0 eval instant at 10m histogram_fraction(1.5, 6, histogram_fraction_3) {} 0 eval instant at 10m histogram_fraction(-2, -1, histogram_fraction_3) {} 0.25 eval instant at 10m histogram_fraction(-2, -1.5, histogram_fraction_3) {} 0.125 eval instant at 10m histogram_fraction(-8, -1, histogram_fraction_3) {} 0.3333333333333333 eval instant at 10m histogram_fraction(-6, -1, histogram_fraction_3) {} 0.2916666666666667 eval instant at 10m histogram_fraction(-6, -1.5, histogram_fraction_3) {} 0.16666666666666666 eval instant at 10m histogram_fraction(42, 3.1415, histogram_fraction_3) {} 0 eval instant at 10m histogram_fraction(0, 0, histogram_fraction_3) {} 0 eval instant at 10m histogram_fraction(0.000001, 0.000001, histogram_fraction_3) {} 0 eval instant at 10m histogram_fraction(42, 42, histogram_fraction_3) {} 0 eval instant at 10m histogram_fraction(-3.1, -3.1, histogram_fraction_3) {} 0 eval instant at 10m histogram_fraction(3.1415, NaN, histogram_fraction_3) {} NaN eval instant at 10m histogram_fraction(NaN, 42, histogram_fraction_3) {} NaN eval instant at 10m histogram_fraction(NaN, NaN, histogram_fraction_3) {} NaN eval instant at 10m histogram_fraction(-Inf, +Inf, histogram_fraction_3) {} 1 # Apply fraction function to histogram with both positive, negative and zero buckets. load 10m histogram_fraction_4 {{schema:0 count:24 sum:100 z_bucket:4 z_bucket_w:0.001 buckets:[2 3 0 1 4] n_buckets:[2 3 0 1 4]}}x1 eval instant at 10m histogram_fraction(0, +Inf, histogram_fraction_4) {} 0.5 eval instant at 10m histogram_fraction(-Inf, 0, histogram_fraction_4) {} 0.5 eval instant at 10m histogram_fraction(-0.001, 0, histogram_fraction_4) {} 0.08333333333333333 eval instant at 10m histogram_fraction(0, 0.001, histogram_fraction_4) {} 0.08333333333333333 eval instant at 10m histogram_fraction(-0.0005, 0.0005, histogram_fraction_4) {} 0.08333333333333333 eval instant at 10m histogram_fraction(0.001, inf, histogram_fraction_4) {} 0.4166666666666667 eval instant at 10m histogram_fraction(-inf, -0.001, histogram_fraction_4) {} 0.4166666666666667 eval instant at 10m histogram_fraction(1, 2, histogram_fraction_4) {} 0.125 eval instant at 10m histogram_fraction(1.5, 2, histogram_fraction_4) {} 0.0625 eval instant at 10m histogram_fraction(1, 8, histogram_fraction_4) {} 0.16666666666666666 eval instant at 10m histogram_fraction(1, 6, histogram_fraction_4) {} 0.14583333333333334 eval instant at 10m histogram_fraction(1.5, 6, histogram_fraction_4) {} 0.08333333333333333 eval instant at 10m histogram_fraction(-2, -1, histogram_fraction_4) {} 0.125 eval instant at 10m histogram_fraction(-2, -1.5, histogram_fraction_4) {} 0.0625 eval instant at 10m histogram_fraction(-8, -1, histogram_fraction_4) {} 0.16666666666666666 eval instant at 10m histogram_fraction(-6, -1, histogram_fraction_4) {} 0.14583333333333334 eval instant at 10m histogram_fraction(-6, -1.5, histogram_fraction_4) {} 0.08333333333333333 eval instant at 10m histogram_fraction(42, 3.1415, histogram_fraction_4) {} 0 eval instant at 10m histogram_fraction(0, 0, histogram_fraction_4) {} 0 eval instant at 10m histogram_fraction(0.000001, 0.000001, histogram_fraction_4) {} 0 eval instant at 10m histogram_fraction(42, 42, histogram_fraction_4) {} 0 eval instant at 10m histogram_fraction(-3.1, -3.1, histogram_fraction_4) {} 0 eval instant at 10m histogram_fraction(3.1415, NaN, histogram_fraction_4) {} NaN eval instant at 10m histogram_fraction(NaN, 42, histogram_fraction_4) {} NaN eval instant at 10m histogram_fraction(NaN, NaN, histogram_fraction_4) {} NaN eval instant at 10m histogram_fraction(-Inf, +Inf, histogram_fraction_4) {} 1