Laboratory of Babel / Archive / grad-noise-175k

grad-noise-175k

Gradient noise, 175k (run of 2026-09-23) · A complete batch run over 175,797 lattice-noise expressions, with 32 texture diagnostics and a frame of each.

About this collection

This collection is complete and closed. Every expression in the space below was rendered and measured once, in a single batch run. Each row is one expression, and its coordinate links to it running live on uto.run.

The purpose is exploratory. There is no target texture and no attempt to resemble Perlin noise. A constant field, a strongly directional pattern or an odd value distribution is an observation, not a failure. The measurements describe textures so they can be sorted, filtered and compared. They are a lossy fingerprint, not a judgement of quality and not a substitute for looking.

The space

An ither formula with two layers:

  • topo: expression trees of up to 64 nodes, built from unary (o1), binary (o2) and leaf (x) slots
  • expr: fills those slots
    • leaves: P, D, R
    • unary: sqt log frc flr cil sgn nrm
    • binary: add sub mlt div pow mod lrg eql min dot dst

A coordinate t·x·u·b follows the formula's projection: t the topology, x the leaf choices, u the unary choices, b the binary choices. Points outside the space were omitted from the run. Two orderings ride along: ordinal is the point's position in ither's whole enumeration (gaps where points were omitted), and batch index is its place in the batch run's sequence, 0 to 175,796 (the run's inputs.expr, and the number in its frame's file name).

The apparatus

Each expression is evaluated at the corners of a rectangular lattice with quintic blending (LATT.RECT.QUINTIC), over coordinates mlt(C, 8), in a 256 × 256 field #A. One configuration per expression: the dimension and coordinate scale were fixed for the whole run.

Measurements are taken from #A's x channel, its stored values (not a screenshot), at step 7, after which the run moves to the next expression. The frame in each row is that field, remapped for display.

The measurements

Notation: f is the field value, E averages the whole field, and E_I averages the interior (C-space [-0.98, 0.98]², which keeps wrapped edges out of the spatial measures).

Value distribution

key meaning
value_mean, value_abs_mean E[f] and E[|f|]: signed offset, typical distance from zero
value_positive_fraction share of values above 0 (field tolerance 0.0001)
value_variance, value_stddev population variance and SD: contrast
value_min, value_max, value_range sampled extrema and their difference
histogram_entropy_bits entropy of a 32-bin histogram over [−1, 1], 0 (one bin) to 5 (uniform) bits
histogram_probability_sum consistency check, ≈ 1

Local roughness (one-pixel differences dx, dy, and g = √(dx² + dy²))

key meaning
gradient_energy_x, gradient_energy_y E_I[dx²], E_I[dy²]
gradient_magnitude_mean E_I[g]: roughness
gradient_magnitude_variance, _stddev, _max how unevenly that roughness is spread, and its peak
gradient_magnitude_cv SD / mean of g: uneven activity (quiet areas interrupted by edges), independent of amplitude
gradient_axis_bias (Ex − Ey) / (Ex + Ey), −1 to 1: horizontal vs vertical preference. Zero does not mean isotropic (diagonals balance too)
gradient_nonzero_flag 1 if there is any gradient energy at all

Change of slope (four-neighbour Laplacian L)

key meaning
laplacian_mean, laplacian_energy, laplacian_abs_mean E_I[L], E_I[L²], E_I[|L|]. Sharp or high-frequency structure responds; a linear ramp does not

Normalised by contrast (comparable across amplitudes)

key meaning
gradient_energy_over_variance (Ex + Ey) / variance
laplacian_energy_over_variance E_I[L²] / variance
variance_normalization_valid_flag, gradient_cv_valid_flag whether the denominators above are meaningful (> 10⁻¹²). Filter on these before trusting a ratio

Three spatial scales (mean squared difference at a distance, over the central [-0.74, 0.74]²: 2, 8 and 32 pixels at this resolution)

key meaning
scale_diff2_near, _mid, _far raw difference energy at each distance
scale_diff2_near_over_variance, _mid_…, _far_… the same, normalised. Low near and rising far suggests smooth structure; a dip at a longer distance can hint at repetition

Each record's json also holds value_histogram (the 32 bin probabilities) and scale_curve (the three scales with their distances).

Reading them, and their limits

  • Clipping. #A kept its default signed domain, so values outside [−1, 1] were clipped before measuring. The diagnostics describe the clipped texture.
  • Combinations say more than any one key. A large range with modest SD and a high gradient peak suggests a few strong excursions. A broad histogram with low normalised detail suggests smooth variation. Similar roughness with a different CV means the activity is concentrated differently.
  • Entropy is about values, not space. A smooth ramp can have high entropy, and shuffling the pixels would not change it.
  • Raw spatial measures depend on resolution and amplitude. Prefer the normalised keys for detail independent of contrast, after checking the validity flags.
  • Not measured: full orientation, spectra or periodicity, lacunarity, tileability, colour, novelty, aesthetic merit.
  • Validation. The suite compiled and ran on every expression. Systematic numerical controls (constants, ramps, stripes, checkerboards, random pixels) and a comparison against longer settling times were not done before this run. Treat the values as exploratory.

Provenance

  • Apparatus: noiseBatch/one.uto, project SHA-256 b6fc8f27…be04d0
  • Expression corpus: SHA-256 7d3ec029…d72266
  • Run files (canonical), in ~/lab/data/grad-noise-175k/: the enumeration (grad-noise-175k.jsonl), the measurements (grad-noise-175k-output.jsonl, joined on inputs.expr), the formula (grad-noise-175k.manifest.json) and the frames (png/)
175,797 records
coordinate ▲ t x u b expression batch index ordinal topo measured step globalStep value_mean value_positive_fraction value_abs_mean value_variance value_stddev value_min value_max value_range histogram_probability_sum histogram_entropy_bits gradient_energy_x gradient_energy_y gradient_magnitude_mean gradient_axis_bias gradient_nonzero_flag laplacian_mean laplacian_energy laplacian_abs_mean gradient_magnitude_variance gradient_magnitude_stddev gradient_magnitude_cv gradient_magnitude_max gradient_energy_over_variance laplacian_energy_over_variance variance_normalization_valid_flag gradient_cv_valid_flag scale_diff2_near scale_diff2_mid scale_diff2_far scale_diff2_near_over_variance scale_diff2_mid_over_variance scale_diff2_far_over_variance
t20_x76_u0_b108 20 76 0 108 add(R,dot(dot(R,D),D)) 174900 165482604 o2(x,o2(o2(x,x),x)) true 107607 107607 0.01516 0.5013 0.4317 0.26 0.5099 -1 1 2 1 4.94 0.003083 0.003992 0.06965 -0.1284 1 0.00002019 0.0004886 0.01737 0.002224 0.04716 0.6771 0.2465 0.02721 0.001879 1 1 0.01385 0.1734 0.4597 0.05328 0.6668 1.768 json
t20_x76_u0_b109 20 76 0 109 add(R,dot(dst(R,D),D)) 174901 165482605 o2(x,o2(o2(x,x),x)) true 107615 107615 0.005483 0.4975 0.3816 0.217 0.4659 -1 1 2 1 4.859 0.00472 0.004529 0.08415 0.02066 1 0.00005146 0.001026 0.02439 0.002168 0.04656 0.5534 0.3072 0.04262 0.004729 1 1 0.01819 0.1935 0.3563 0.08382 0.8918 1.642 json
t20_x76_u0_b110 20 76 0 110 add(R,dst(add(R,D),D)) 174902 165482606 o2(x,o2(o2(x,x),x)) true 107623 107623 0.7698 1 0.7698 0.07179 0.2679 0.03077 1 0.9692 1 2.953 0.001474 0.001584 0.03376 -0.03597 1 -0.00007251 0.000832 0.01385 0.001919 0.0438 1.298 0.2336 0.0426 0.01159 1 1 0.00568 0.0565 0.13 0.07911 0.7869 1.81 json
t20_x76_u0_b111 20 76 0 111 add(R,dst(sub(R,D),D)) 174903 165482607 o2(x,o2(o2(x,x),x)) true 107631 107631 0.8838 0.9956 0.8845 0.0489 0.2211 -0.2053 1 1.205 1 1.978 0.002817 0.002738 0.04047 0.01421 1 -0.0003188 0.00221 0.02238 0.003916 0.06258 1.546 0.3828 0.1136 0.0452 1 1 0.01022 0.07422 0.07967 0.2089 1.518 1.629 json
t20_x76_u0_b112 20 76 0 112 add(R,dst(mlt(R,D),D)) 174904 165482608 o2(x,o2(o2(x,x),x)) true 107639 107639 0.4533 0.8441 0.5384 0.1768 0.4204 -0.9314 1 1.931 1 4.454 0.005451 0.004475 0.08403 0.0984 1 -0.000727 0.001471 0.02673 0.002864 0.05352 0.6369 0.2717 0.05615 0.008325 1 1 0.01898 0.182 0.2786 0.1074 1.029 1.576 json
t20_x76_u0_b113 20 76 0 113 add(R,dst(div(R,D),D)) 174905 165482609 o2(x,o2(o2(x,x),x)) true 107647 107647 -1 0 1 0 0 -1 -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 json
t20_x76_u0_b114 20 76 0 114 add(R,dst(pow(R,D),D)) 174906 165482610 o2(x,o2(o2(x,x),x)) true 107655 107655 -0.9922 0.003906 1 0.01556 0.1248 -1 1 2 1 0.03687 0.002016 0.002016 0.001997 0 1 0 0.008566 0.004031 0.004024 0.06344 31.76 2.828 0.259 0.5504 1 1 0.007091 0.02837 0.05496 0.4556 1.823 3.531 json
t20_x76_u0_b115 20 76 0 115 add(R,dst(mod(R,D),D)) 174907 165482611 o2(x,o2(o2(x,x),x)) true 107663 107663 0.64 0.9158 0.6774 0.1536 0.3919 -0.787 1 1.787 1 3.667 0.004598 0.004889 0.06685 -0.03069 1 -0.0003776 0.008413 0.05754 0.005018 0.07084 1.06 0.4529 0.06178 0.05478 1 1 0.01435 0.1328 0.2636 0.09342 0.8649 1.716 json
t20_x76_u0_b116 20 76 0 116 add(R,dst(lrg(R,D),D)) 174908 165482612 o2(x,o2(o2(x,x),x)) true 107671 107671 0.8494 0.969 0.8642 0.09067 0.3011 -0.8658 1 1.866 1 2.098 0.005458 0.006108 0.04594 -0.05622 1 -0.00008273 0.01426 0.03746 0.009456 0.09724 2.117 1.055 0.1276 0.1573 1 1 0.01566 0.09954 0.1369 0.1727 1.098 1.51 json
t20_x76_u0_b117 20 76 0 117 add(R,dst(eql(R,D),D)) 174909 165482613 o2(x,o2(o2(x,x),x)) true 107679 107679 0.4317 0.8003 0.5434 0.2164 0.4652 -0.9541 1 1.954 1 4.418 0.00451 0.004905 0.08015 -0.04199 1 -0.000592 0.001376 0.02456 0.002991 0.05469 0.6824 0.5243 0.0435 0.006357 1 1 0.0183 0.1879 0.3423 0.08457 0.8682 1.581 json
t20_x76_u0_b118 20 76 0 118 add(R,dst(min(R,D),D)) 174910 165482614 o2(x,o2(o2(x,x),x)) true 107687 107687 0.6004 0.9558 0.6062 0.1084 0.3292 -0.1454 1 1.145 1 3.856 0.002345 0.002168 0.05132 0.0393 1 -0.00009769 0.0007739 0.01639 0.001879 0.04335 0.8447 0.2498 0.04164 0.00714 1 1 0.008959 0.09716 0.2167 0.08266 0.8964 1.999 json
t20_x76_u0_b119 20 76 0 119 add(R,dst(dot(R,D),D)) 174911 165482615 o2(x,o2(o2(x,x),x)) true 107695 107695 0.5504 0.8759 0.6153 0.1812 0.4257 -0.9302 1 1.93 1 4.091 0.006602 0.005758 0.08897 0.06832 1 -0.0007111 0.002404 0.03103 0.004444 0.06666 0.7493 0.3136 0.06821 0.01327 1 1 0.02371 0.2113 0.2702 0.1308 1.166 1.491 json
t20_x76_u0_b120 20 76 0 120 add(R,dst(dst(R,D),D)) 174912 165482616 o2(x,o2(o2(x,x),x)) true 107703 107703 0.9845 1 0.9845 0.004941 0.07029 0.155 1 0.845 1 0.5065 0.0003672 0.0004766 0.007542 -0.1297 1 -0.00008864 0.0005283 0.005903 0.0007871 0.02806 3.72 0.2831 0.1708 0.1069 1 1 0.001519 0.008752 0.009817 0.3074 1.771 1.987 json
t20_x76_u0_b121 20 76 0 121 sub(R,add(add(R,D),D)) 174913 165482617 o2(x,o2(o2(x,x),x)) true 107711 107711 -3.873e-9 0.5 0.1887 0.04329 0.2081 -0.2908 0.2908 0.5817 1 2.906 0.00653 1.157e-17 0.07219 1 1 1.056e-11 0.001025 0.02918 0.001321 0.03635 0.5036 0.1238 0.1508 0.02368 1 1 0.0126 0.08733 7.858e-16 0.2912 2.017 1.815e-14 json
t20_x76_u0_b122 20 76 0 122 sub(R,add(sub(R,D),D)) 174914 165482618 o2(x,o2(o2(x,x),x)) true 107719 107719 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 0 0 json
t20_x76_u0_b123 20 76 0 123 sub(R,add(mlt(R,D),D)) 174915 165482619 o2(x,o2(o2(x,x),x)) true 107727 107727 0.00542 0.4822 0.4092 0.241 0.4909 -0.9989 1 1.999 1 4.894 0.005105 0.003374 0.07688 0.2042 1 0.00008169 0.0007876 0.02074 0.002568 0.05067 0.6591 0.2762 0.03518 0.003268 1 1 0.01654 0.1894 0.4133 0.06861 0.7858 1.715 json
t20_x76_u0_b124 20 76 0 124 sub(R,add(div(R,D),D)) 174916 165482620 o2(x,o2(o2(x,x),x)) true 107735 107735 -0.01956 0.486 0.7997 0.7361 0.858 -1 1 2 1 3.339 0.2593 0.03224 0.2417 0.7788 1 0.00009472 0.5819 0.3193 0.2332 0.4829 1.998 2.828 0.3961 0.7905 1 1 0.3261 1.318 1.347 0.443 1.791 1.83 json
t20_x76_u0_b125 20 76 0 125 sub(R,add(pow(R,D),D)) 174917 165482621 o2(x,o2(o2(x,x),x)) true 107743 107743 -0.9773 0.0007935 0.9774 0.01409 0.1187 -1 0.07645 1.076 1 0.4008 0.001544 0.001523 0.006291 0.007011 1 0.00001879 0.006218 0.009617 0.003027 0.05502 8.746 1.264 0.2177 0.4414 1 1 0.002531 0.01126 0.02527 0.1797 0.7989 1.793 json
t20_x76_u0_b126 20 76 0 126 sub(R,add(mod(R,D),D)) 174918 165482622 o2(x,o2(o2(x,x),x)) true 107751 107751 0.01514 0.5111 0.3322 0.1697 0.412 -1 1 2 1 4.736 0.01064 0.002261 0.09238 0.6495 1 0.00004532 0.01861 0.1003 0.004369 0.0661 0.7155 0.605 0.07601 0.1096 1 1 0.0168 0.1461 0.2839 0.09896 0.8608 1.672 json
t20_x76_u0_b127 20 76 0 127 sub(R,add(lrg(R,D),D)) 174919 165482623 o2(x,o2(o2(x,x),x)) true 107759 107759 -0.4888 0.02222 0.4915 0.06582 0.2566 -1 0.2139 1.214 1 4.012 0.01888 0.0009231 0.07633 0.9068 1 0.00001715 0.03769 0.06806 0.01398 0.1182 1.549 0.9478 0.3009 0.5726 1 1 0.02012 0.07927 0.1138 0.3056 1.204 1.729 json
t20_x76_u0_b128 20 76 0 128 sub(R,add(eql(R,D),D)) 174920 165482624 o2(x,o2(o2(x,x),x)) true 107767 107767 0.009125 0.4977 0.4005 0.2287 0.4782 -1 1 2 1 4.894 0.004408 0.003165 0.07466 0.1642 1 0.00003063 0.000662 0.01913 0.001998 0.0447 0.5988 0.3346 0.03311 0.002895 1 1 0.01479 0.1717 0.3902 0.06467 0.7509 1.706 json
t20_x76_u0_b129 20 76 0 129 sub(R,add(min(R,D),D)) 174921 165482625 o2(x,o2(o2(x,x),x)) true 107775 107775 0.2863 0.8118 0.3118 0.09449 0.3074 -0.1454 1 1.145 1 4.022 0.004971 0.001077 0.06598 0.6438 1 0.00003353 0.0008974 0.02341 0.001695 0.04117 0.624 0.2001 0.06401 0.009498 1 1 0.01153 0.1041 0.1411 0.122 1.101 1.494 json
t20_x76_u0_b130 20 76 0 130 sub(R,add(dot(R,D),D)) 174922 165482626 o2(x,o2(o2(x,x),x)) true 107783 107783 0.001905 0.4812 0.4201 0.2521 0.5021 -1 1 2 1 4.907 0.00524 0.004169 0.08252 0.1139 1 0.0001669 0.0009276 0.02234 0.002599 0.05098 0.6177 0.2867 0.03732 0.003679 1 1 0.01842 0.2093 0.4441 0.07305 0.83 1.761 json
t20_x76_u0_b131 20 76 0 131 sub(R,add(dst(R,D),D)) 174923 165482627 o2(x,o2(o2(x,x),x)) true 107791 107791 -0.8022 0 0.8022 0.06372 0.2524 -1 -0.01555 0.9844 1 2.754 0.001927 0.001836 0.03908 0.02432 1 0.00008238 0.001149 0.01735 0.002235 0.04728 1.21 0.2574 0.05906 0.01804 1 1 0.006741 0.05993 0.1047 0.1058 0.9404 1.643 json
t20_x76_u0_b132 20 76 0 132 sub(R,sub(add(R,D),D)) 174924 165482628 o2(x,o2(o2(x,x),x)) true 107799 107799 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 0 0 json
t20_x76_u0_b133 20 76 0 133 sub(R,sub(sub(R,D),D)) 174925 165482629 o2(x,o2(o2(x,x),x)) true 107807 107807 3.121e-9 0.5 0.1887 0.04329 0.2081 -0.2908 0.2908 0.5817 1 2.906 0.00653 1.367e-17 0.07219 1 1 -6.359e-11 0.001025 0.02918 0.001321 0.03635 0.5036 0.1238 0.1508 0.02368 1 1 0.0126 0.08733 6.878e-16 0.2912 2.017 1.589e-14 json
t20_x76_u0_b134 20 76 0 134 sub(R,sub(mlt(R,D),D)) 174926 165482630 o2(x,o2(o2(x,x),x)) true 107815 107815 0.009762 0.5123 0.4114 0.2415 0.4914 -1 0.981 1.981 1 4.891 0.005139 0.003371 0.07816 0.2078 1 0.00004661 0.0007868 0.02109 0.002402 0.04901 0.627 0.3026 0.03524 0.003258 1 1 0.01682 0.193 0.4128 0.06965 0.7991 1.709 json
t20_x76_u0_b135 20 76 0 135 sub(R,sub(div(R,D),D)) 174927 165482631 o2(x,o2(o2(x,x),x)) true 107823 107823 -0.00236 0.4986 0.8029 0.74 0.8602 -1 1 2 1 3.335 0.2592 0.03236 0.2414 0.778 1 0.00003371 0.5818 0.3187 0.2333 0.483 2.001 2.828 0.394 0.7862 1 1 0.3269 1.334 1.369 0.4417 1.803 1.851 json
t20_x76_u0_b136 20 76 0 136 sub(R,sub(pow(R,D),D)) 174928 165482632 o2(x,o2(o2(x,x),x)) true 107831 107831 -0.9771 0.0003052 0.9771 0.01505 0.1227 -1 0.09622 1.096 1 0.3858 0.001674 0.001633 0.007133 0.01242 1 -0.000001296 0.006524 0.01006 0.003258 0.05707 8.002 1.176 0.2197 0.4334 1 1 0.00273 0.01202 0.02623 0.1813 0.7982 1.742 json
t20_x76_u0_b137 20 76 0 137 sub(R,sub(mod(R,D),D)) 174929 165482633 o2(x,o2(o2(x,x),x)) true 107839 107839 0.01512 0.5137 0.3333 0.171 0.4135 -1 1 2 1 4.74 0.01069 0.002261 0.0925 0.6509 1 0.00004528 0.01863 0.1004 0.004397 0.06631 0.7169 0.6322 0.07574 0.1089 1 1 0.01702 0.149 0.2839 0.09953 0.8713 1.66 json
t20_x76_u0_b138 20 76 0 138 sub(R,sub(lrg(R,D),D)) 174930 165482634 o2(x,o2(o2(x,x),x)) true 107847 107847 -0.4857 0.03856 0.4931 0.08125 0.285 -1 0.3692 1.369 1 4.095 0.01924 0.0008983 0.08561 0.9108 1 0.00001748 0.03281 0.07345 0.01281 0.1132 1.322 1.058 0.2478 0.4037 1 1 0.0219 0.1016 0.1086 0.2695 1.251 1.336 json
t20_x76_u0_b139 20 76 0 139 sub(R,sub(eql(R,D),D)) 174931 165482635 o2(x,o2(o2(x,x),x)) true 107855 107855 0.009038 0.4986 0.4013 0.2304 0.48 -1 1 2 1 4.899 0.004484 0.003166 0.0755 0.1723 1 0.00002857 0.0006703 0.01947 0.00195 0.04416 0.585 0.3915 0.0332 0.002909 1 1 0.01508 0.1746 0.3904 0.06546 0.7577 1.694 json
t20_x76_u0_b140 20 76 0 140 sub(R,sub(min(R,D),D)) 174932 165482636 o2(x,o2(o2(x,x),x)) true 107863 107863 0.2892 0.8267 0.3173 0.07861 0.2804 -0.1454 0.9811 1.127 1 4.075 0.002012 0.001105 0.04856 0.2911 1 0.000005686 0.0003091 0.01397 0.0007593 0.02755 0.5674 0.1649 0.03965 0.003931 1 1 0.006231 0.07031 0.1475 0.07926 0.8944 1.876 json
t20_x76_u0_b141 20 76 0 141 sub(R,sub(dot(R,D),D)) 174933 165482637 o2(x,o2(o2(x,x),x)) true 107871 107871 0.007622 0.511 0.4213 0.2536 0.5036 -1 1 2 1 4.922 0.005294 0.004174 0.08374 0.1184 1 0.0001342 0.0009206 0.02249 0.002456 0.04955 0.5918 0.317 0.03733 0.00363 1 1 0.01877 0.2139 0.4466 0.074 0.8433 1.761 json
t20_x76_u0_b142 20 76 0 142 sub(R,sub(dst(R,D),D)) 174934 165482638 o2(x,o2(o2(x,x),x)) true 107879 107879 -0.8034 0.0119 0.8051 0.07596 0.2756 -1 0.2241 1.224 1 2.739 0.003273 0.001911 0.04605 0.2629 1 0.00007091 0.001364 0.01947 0.003064 0.05535 1.202 0.3348 0.06824 0.01795 1 1 0.009534 0.08338 0.118 0.1255 1.098 1.553 json
t20_x76_u0_b143 20 76 0 143 sub(R,mlt(add(R,D),D)) 174935 165482639 o2(x,o2(o2(x,x),x)) true 107887 107887 -0.1089 0.4101 0.419 0.238 0.4878 -1 1 2 1 4.882 0.004789 0.003367 0.0763 0.1744 1 0.0003021 0.0007082 0.0206 0.002335 0.04832 0.6333 0.2935 0.03427 0.002976 1 1 0.01606 0.1855 0.412 0.0675 0.7795 1.731 json
t20_x76_u0_b144 20 76 0 144 sub(R,mlt(sub(R,D),D)) 174936 165482640 o2(x,o2(o2(x,x),x)) true 107895 107895 0.1245 0.5874 0.4199 0.239 0.4888 -1 1 2 1 4.884 0.004763 0.003373 0.07624 0.1708 1 -0.0001703 0.0007016 0.02042 0.002323 0.04819 0.6321 0.2657 0.03404 0.002936 1 1 0.01593 0.1867 0.4132 0.06666 0.7814 1.729 json
t20_x76_u0_b145 20 76 0 145 sub(R,mlt(mlt(R,D),D)) 174937 165482641 o2(x,o2(o2(x,x),x)) true 107903 107903 0.00791 0.4963 0.3613 0.1876 0.4331 -0.9977 0.9797 1.977 1 4.785 0.003008 0.002698 0.06258 0.05425 1 0.00004718 0.0003641 0.01484 0.00179 0.0423 0.676 0.2339 0.03042 0.001941 1 1 0.01129 0.1423 0.3359 0.06018 0.7588 1.791 json
t20_x76_u0_b146 20 76 0 146 sub(R,mlt(div(R,D),D)) 174938 165482642 o2(x,o2(o2(x,x),x)) true 107911 107911 5.891e-10 0 1.512e-8 4.969e-16 2.229e-8 -9.719e-8 9.692e-8 1.941e-7 1 0.3641 1.164e-15 6.897e-18 2.457e-8 0.001157 0 1.056e-10 3.814e-15 4.488e-8 5.677e-16 2.383e-8 0.9698 1.404e-7 0.001171 0.003814 0 1 4.545e-16 5.946e-16 9.389e-16 0.0004545 0.0005946 0.0009389 json
t20_x76_u0_b147 20 76 0 147 sub(R,mlt(pow(R,D),D)) 174939 165482643 o2(x,o2(o2(x,x),x)) true 107919 107919 -0.9287 0.04297 0.9853 0.115 0.3391 -1 1 2 1 0.412 0.01048 0.01144 0.01522 -0.04383 1 0.000001668 0.0453 0.02723 0.02169 0.1473 9.676 2.684 0.1905 0.3939 1 1 0.01755 0.0794 0.1932 0.1526 0.6905 1.68 json
t20_x76_u0_b148 20 76 0 148 sub(R,mlt(mod(R,D),D)) 174940 165482644 o2(x,o2(o2(x,x),x)) true 107927 107927 0.008515 0.4962 0.3978 0.2223 0.4714 -1 1 2 1 4.867 0.00385 0.003207 0.06778 0.09105 1 0.00001391 0.002909 0.03755 0.002463 0.04963 0.7322 0.3275 0.03175 0.01309 1 1 0.01271 0.1549 0.3971 0.05718 0.6968 1.786 json
t20_x76_u0_b149 20 76 0 149 sub(R,mlt(lrg(R,D),D)) 174941 165482645 o2(x,o2(o2(x,x),x)) true 107935 107935 0.06489 0.5625 0.4081 0.232 0.4817 -0.9987 1 1.999 1 4.893 0.005397 0.00329 0.07643 0.2426 1 -0.000006809 0.003751 0.03289 0.002847 0.05335 0.6981 0.3818 0.03744 0.01616 1 1 0.01553 0.1717 0.4016 0.06692 0.7401 1.731 json
t20_x76_u0_b150 20 76 0 150 sub(R,mlt(eql(R,D),D)) 174942 165482646 o2(x,o2(o2(x,x),x)) true 107943 107943 0.009003 0.4984 0.3946 0.2196 0.4686 -0.9989 0.9806 1.979 1 4.862 0.002818 0.003169 0.06322 -0.0586 1 0.00002658 0.0003663 0.01456 0.001991 0.04463 0.7059 0.2301 0.02727 0.001668 1 1 0.01182 0.1519 0.3913 0.05385 0.6917 1.782 json
t20_x76_u0_b151 20 76 0 151 sub(R,mlt(min(R,D),D)) 174943 165482647 o2(x,o2(o2(x,x),x)) true 107951 107951 -0.05086 0.4478 0.3773 0.2032 0.4507 -1 0.9796 1.98 1 4.826 0.003485 0.002889 0.0668 0.09338 1 0.0001826 0.0004567 0.0166 0.001912 0.04372 0.6545 0.2744 0.03138 0.002248 1 1 0.01255 0.1532 0.3574 0.06177 0.7542 1.759 json
t20_x76_u0_b152 20 76 0 152 sub(R,mlt(dot(R,D),D)) 174944 165482648 o2(x,o2(o2(x,x),x)) true 107959 107959 0.007972 0.4957 0.3626 0.1888 0.4345 -0.9977 0.9799 1.978 1 4.789 0.003071 0.002763 0.06346 0.05284 1 0.00004507 0.0003817 0.01536 0.001807 0.04251 0.6698 0.2348 0.0309 0.002022 1 1 0.0115 0.1446 0.3387 0.0609 0.7659 1.794 json
t20_x76_u0_b153 20 76 0 153 sub(R,mlt(dst(R,D),D)) 174945 165482649 o2(x,o2(o2(x,x),x)) true 107967 107967 0.0103 0.4968 0.4268 0.2581 0.5081 -1 1 2 1 4.931 0.004546 0.003707 0.07694 0.1017 1 0.00001202 0.0007516 0.02036 0.002334 0.04831 0.6279 0.2625 0.03197 0.002911 1 1 0.01619 0.1878 0.4443 0.06272 0.7277 1.721 json
t20_x76_u0_b154 20 76 0 154 sub(R,div(add(R,D),D)) 174946 165482650 o2(x,o2(o2(x,x),x)) true 107975 107975 -0.3597 0.3093 0.8504 0.6719 0.8197 -1 1 2 1 2.817 0.2719 0.03011 0.2422 0.8006 1 0.0008008 0.5992 0.3317 0.2433 0.4933 2.036 2.828 0.4495 0.8918 1 1 0.3359 1.137 1.147 0.4999 1.693 1.707 json
t20_x76_u0_b155 20 76 0 155 sub(R,div(sub(R,D),D)) 174947 165482651 o2(x,o2(o2(x,x),x)) true 107983 107983 0.3459 0.6878 0.8421 0.6713 0.8193 -1 1 2 1 2.894 0.2724 0.02985 0.2445 0.8025 1 -0.0007741 0.5976 0.3319 0.2424 0.4923 2.013 2.828 0.4503 0.8903 1 1 0.3366 1.154 1.125 0.5015 1.719 1.676 json
t20_x76_u0_b156 20 76 0 156 sub(R,div(mlt(R,D),D)) 174948 165482652 o2(x,o2(o2(x,x),x)) true 107991 107991 -1.304e-10 0 1.511e-8 4.932e-16 2.221e-8 -9.465e-8 9.666e-8 1.913e-7 1 0.416 1.197e-15 6.955e-18 2.46e-8 0.00119 0 1.173e-10 3.994e-15 4.52e-8 5.983e-16 2.446e-8 0.9943 1.443e-7 0.001203 0.003994 0 1 4.186e-16 5.889e-16 9.122e-16 0.0004186 0.0005889 0.0009122 json
t20_x76_u0_b157 20 76 0 157 sub(R,div(div(R,D),D)) 174949 165482653 o2(x,o2(o2(x,x),x)) true 107999 107999 0.01028 0.5056 0.9191 0.892 0.9445 -1 1 2 1 2.215 0.03962 0.06895 0.1197 -0.2702 1 -0.0002165 0.153 0.1303 0.09421 0.3069 2.564 2.169 0.1217 0.1715 1 1 0.1501 0.8306 1.627 0.1682 0.9312 1.823 json
t20_x76_u0_b158 20 76 0 158 sub(R,div(pow(R,D),D)) 174950 165482654 o2(x,o2(o2(x,x),x)) true 108007 108007 -0.9478 0.02666 0.9965 0.09719 0.3118 -1 1 2 1 0.2444 0.01379 0.009626 0.01527 0.1778 1 -0.000001403 0.04421 0.02451 0.02319 0.1523 9.973 2.828 0.2409 0.4549 1 1 0.01883 0.08659 0.162 0.1937 0.8909 1.667 json
t20_x76_u0_b159 20 76 0 159 sub(R,div(mod(R,D),D)) 174951 165482655 o2(x,o2(o2(x,x),x)) true 108015 108015 0.007594 0.5156 0.482 0.3358 0.5795 -1 1 2 1 4.869 0.1165 0.005472 0.266 0.9103 1 -0.0006074 0.3082 0.4141 0.05119 0.2262 0.8504 1.86 0.3631 0.9176 1 1 0.09361 0.3716 0.6205 0.2787 1.107 1.848 json
t20_x76_u0_b160 20 76 0 160 sub(R,div(lrg(R,D),D)) 174952 165482656 o2(x,o2(o2(x,x),x)) true 108023 108023 0.04003 0.4768 0.7367 0.6505 0.8065 -1 1 2 1 3.761 0.2377 0.01082 0.228 0.913 1 -0.00009101 0.4656 0.309 0.1965 0.4433 1.944 2.241 0.3821 0.7158 1 1 0.2693 1.028 0.571 0.414 1.581 0.8778 json
t20_x76_u0_b161 20 76 0 161 sub(R,div(eql(R,D),D)) 174953 165482657 o2(x,o2(o2(x,x),x)) true 108031 108031 0.009047 0.4984 0.3946 0.2196 0.4686 -0.9989 0.9806 1.979 1 4.862 0.002855 0.003169 0.06328 -0.05217 1 0.00002671 0.0004758 0.01469 0.002019 0.04494 0.7102 0.5722 0.02743 0.002167 1 1 0.01182 0.1519 0.3913 0.05384 0.6917 1.782 json
t20_x76_u0_b162 20 76 0 162 sub(R,div(min(R,D),D)) 174954 165482658 o2(x,o2(o2(x,x),x)) true 108039 108039 -0.2907 0.252 0.6498 0.4531 0.6732 -1 1 2 1 4.104 0.1842 0.005825 0.186 0.9387 1 0.0002104 0.3636 0.222 0.1555 0.3943 2.12 2.023 0.4194 0.8025 1 1 0.2121 0.7853 0.3718 0.4681 1.733 0.8204 json
t20_x76_u0_b163 20 76 0 163 sub(R,div(dot(R,D),D)) 174955 165482659 o2(x,o2(o2(x,x),x)) true 108047 108047 -0.00009268 0.4986 0.4289 0.3161 0.5622 -1 1 2 1 4.516 0.2205 0.03041 0.2487 0.7576 1 -0.00007125 0.6008 0.3106 0.189 0.4347 1.748 2.823 0.7938 1.901 1 1 0.2506 0.743 0.634 0.7928 2.351 2.006 json
t20_x76_u0_b164 20 76 0 164 sub(R,div(dst(R,D),D)) 174956 165482660 o2(x,o2(o2(x,x),x)) true 108055 108055 0.001009 0.5004 0.9099 0.8801 0.9381 -1 1 2 1 2.301 0.3221 0.002115 0.2486 0.987 1 -0.00002268 0.5342 0.3409 0.2623 0.5122 2.06 2 0.3684 0.607 1 1 0.3865 1.659 0.1378 0.4392 1.885 0.1566 json
t20_x76_u0_b165 20 76 0 165 sub(R,pow(add(R,D),D)) 174957 165482661 o2(x,o2(o2(x,x),x)) true 108063 108063 -0.974 0 0.974 0.01541 0.1241 -1 -0.03874 0.9613 1 0.4773 0.006403 0.001464 0.01591 0.6278 1 0.00007119 0.01656 0.02544 0.007611 0.08724 5.484 1.323 0.5106 1.075 1 1 0.007189 0.02108 0.03033 0.4666 1.368 1.969 json
t20_x76_u0_b166 20 76 0 166 sub(R,pow(sub(R,D),D)) 174958 165482662 o2(x,o2(o2(x,x),x)) true 108071 108071 -0.9554 0.001404 0.9555 0.03088 0.1757 -1 0.127 1.127 1 0.5916 0.01051 0.002914 0.02193 0.5659 1 -0.0001009 0.02906 0.03732 0.01295 0.1138 5.188 1.503 0.4347 0.9409 1 1 0.01281 0.04117 0.05936 0.415 1.333 1.922 json
t20_x76_u0_b167 20 76 0 167 sub(R,pow(mlt(R,D),D)) 174959 165482663 o2(x,o2(o2(x,x),x)) true 108079 108079 -0.9906 0.001175 0.9907 0.006602 0.08125 -1 0.1489 1.149 1 0.1783 0.001592 0.0007272 0.004821 0.3729 1 0.000001248 0.004022 0.00647 0.002296 0.04792 9.941 1.15 0.3513 0.6093 1 1 0.002795 0.01063 0.01501 0.4234 1.61 2.274 json
t20_x76_u0_b168 20 76 0 168 sub(R,pow(div(R,D),D)) 174960 165482664 o2(x,o2(o2(x,x),x)) true 108087 108087 -0.9956 0 0.9956 0.001631 0.04039 -1 -0.15 0.85 1 0.1636 0.0006947 0.0001919 0.002742 0.5672 1 9.538e-7 0.001984 0.003653 0.0008791 0.02965 10.81 0.8619 0.5435 1.216 1 1 0.0007687 0.002584 0.003537 0.4713 1.584 2.169 json
t20_x76_u0_b169 20 76 0 169 sub(R,pow(pow(R,D),D)) 174961 165482665 o2(x,o2(o2(x,x),x)) true 108095 108095 -0.9725 0 0.9725 0.01823 0.135 -1 -0.0435 0.9565 1 0.4057 0.001526 0.001902 0.006338 -0.1098 1 -0.000005438 0.006994 0.01025 0.003388 0.0582 9.184 1.226 0.1881 0.3838 1 1 0.002858 0.01355 0.03093 0.1568 0.7437 1.697 json
t20_x76_u0_b170 20 76 0 170 sub(R,pow(mod(R,D),D)) 174962 165482666 o2(x,o2(o2(x,x),x)) true 108103 108103 -0.9826 0.00325 0.9834 0.01219 0.1104 -1 0.4434 1.443 1 0.3313 0.003638 0.001422 0.01013 0.4379 1 -5.119e-7 0.0117 0.01703 0.004958 0.07041 6.954 1.457 0.4152 0.9604 1 1 0.003394 0.01118 0.01877 0.2785 0.9177 1.54 json
t20_x76_u0_b171 20 76 0 171 sub(R,pow(lrg(R,D),D)) 174963 165482667 o2(x,o2(o2(x,x),x)) true 108111 108111 -0.6913 0.01326 0.6933 0.1075 0.3279 -1 0.251 1.251 1 3.151 0.03266 0.005371 0.08144 0.7175 1 0.0004544 0.07882 0.1191 0.03139 0.1772 2.176 1.548 0.3536 0.733 1 1 0.03899 0.1308 0.1557 0.3625 1.217 1.448 json
t20_x76_u0_b172 20 76 0 172 sub(R,pow(eql(R,D),D)) 174964 165482668 o2(x,o2(o2(x,x),x)) true 108119 108119 -1 0 1 0 0 -1 -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 json
t20_x76_u0_b173 20 76 0 173 sub(R,pow(min(R,D),D)) 174965 165482669 o2(x,o2(o2(x,x),x)) true 108127 108127 -1 0 1 0 0 -1 -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 json
t20_x76_u0_b174 20 76 0 174 sub(R,pow(dot(R,D),D)) 174966 165482670 o2(x,o2(o2(x,x),x)) true 108135 108135 -0.9877 0.00119 0.9879 0.007869 0.08871 -1 0.2667 1.267 1 0.2648 0.002999 0.002161 0.009649 0.1624 1 -0.000006223 0.01441 0.01567 0.005066 0.07118 7.377 1.677 0.6558 1.831 1 1 0.006934 0.01778 0.01981 0.8811 2.26 2.517 json
t20_x76_u0_b175 20 76 0 175 sub(R,pow(dst(R,D),D)) 174967 165482671 o2(x,o2(o2(x,x),x)) true 108143 108143 -0.7867 0.002716 0.7869 0.08192 0.2862 -1 0.1366 1.137 1 2.744 0.001697 0.001864 0.03608 -0.04678 1 0.00005805 0.000881 0.01418 0.002259 0.04753 1.318 0.3027 0.04347 0.01076 1 1 0.006819 0.0688 0.1566 0.08324 0.8399 1.912 json
t20_x76_u0_b176 20 76 0 176 sub(R,mod(add(R,D),D)) 174968 165482672 o2(x,o2(o2(x,x),x)) true 108151 108151 0.007881 0.4922 0.3366 0.1683 0.4103 -0.9686 0.9682 1.937 1 4.713 0.007861 0.002446 0.07926 0.5254 1 0.0000147 0.01557 0.08928 0.004025 0.06345 0.8005 0.5778 0.06124 0.09253 1 1 0.01301 0.1266 0.3028 0.07732 0.7521 1.799 json
t20_x76_u0_b177 20 76 0 177 sub(R,mod(sub(R,D),D)) 174969 165482673 o2(x,o2(o2(x,x),x)) true 108159 108159 0.008183 0.4955 0.3337 0.1667 0.4083 -0.9687 0.9684 1.937 1 4.708 0.007763 0.002426 0.07883 0.5238 1 0.00001604 0.01528 0.08808 0.003976 0.06306 0.8 0.5778 0.06111 0.09166 1 1 0.01283 0.127 0.2981 0.07696 0.7616 1.788 json
t20_x76_u0_b178 20 76 0 178 sub(R,mod(mlt(R,D),D)) 174970 165482674 o2(x,o2(o2(x,x),x)) true 108167 108167 0.007532 0.4962 0.4046 0.2339 0.4836 -1 1 2 1 4.902 0.003584 0.003393 0.06936 0.02746 1 0.0000679 0.0004762 0.01644 0.002167 0.04655 0.6711 0.2563 0.02984 0.002036 1 1 0.01375 0.1723 0.4181 0.05881 0.7368 1.788 json
t20_x76_u0_b179 20 76 0 179 sub(R,mod(div(R,D),D)) 174971 165482675 o2(x,o2(o2(x,x),x)) true 108175 108175 0.00767 0.4968 0.4074 0.2329 0.4826 -1 1 2 1 4.901 0.0112 0.003373 0.09825 0.5372 1 0.0001969 0.02417 0.1139 0.004923 0.07016 0.7141 0.5308 0.06258 0.1038 1 1 0.01734 0.1715 0.4184 0.07443 0.7363 1.796 json
t20_x76_u0_b180 20 76 0 180 sub(R,mod(pow(R,D),D)) 174972 165482676 o2(x,o2(o2(x,x),x)) true 108183 108183 -0.9389 0.04167 0.9754 0.08533 0.2921 -1 0.938 1.938 1 0.4203 0.01052 0.008588 0.01541 0.1013 1 0.0000372 0.0409 0.02888 0.01888 0.1374 8.914 2.634 0.224 0.4793 1 1 0.01485 0.05987 0.1431 0.174 0.7016 1.677 json
t20_x76_u0_b181 20 76 0 181 sub(R,mod(mod(R,D),D)) 174973 165482677 o2(x,o2(o2(x,x),x)) true 108191 108191 0.01514 0.4958 0.319 0.1597 0.3996 -0.9684 0.9682 1.937 1 4.654 0.009042 0.002262 0.0807 0.5998 1 0.00004519 0.01837 0.09895 0.00479 0.06921 0.8576 0.5778 0.07078 0.115 1 1 0.01377 0.1259 0.2841 0.08623 0.7881 1.779 json
t20_x76_u0_b182 20 76 0 182 sub(R,mod(lrg(R,D),D)) 174974 165482678 o2(x,o2(o2(x,x),x)) true 108199 108199 -0.07044 0.4303 0.3681 0.1899 0.4358 -0.9989 0.9806 1.979 1 4.787 0.006422 0.002691 0.07629 0.4094 1 0.00003351 0.009846 0.06524 0.003294 0.05739 0.7523 0.4021 0.04799 0.05185 1 1 0.01333 0.1394 0.332 0.07021 0.7342 1.748 json
t20_x76_u0_b183 20 76 0 183 sub(R,mod(eql(R,D),D)) 174975 165482679 o2(x,o2(o2(x,x),x)) true 108207 108207 0.008963 0.4983 0.3946 0.2196 0.4686 -0.9989 0.9806 1.979 1 4.862 0.002816 0.00317 0.06321 -0.05921 1 0.00002646 0.0003581 0.01453 0.00199 0.04461 0.7058 0.2301 0.02726 0.001631 1 1 0.01182 0.1519 0.3914 0.05384 0.6917 1.782 json
t20_x76_u0_b184 20 76 0 184 sub(R,mod(min(R,D),D)) 174976 165482680 o2(x,o2(o2(x,x),x)) true 108215 108215 0.06612 0.5351 0.369 0.1972 0.4441 -0.9687 1 1.969 1 4.806 0.02123 0.002733 0.1222 0.7718 1 -0.0001528 0.04779 0.1787 0.009027 0.09501 0.7775 0.6337 0.1215 0.2423 1 1 0.02404 0.151 0.341 0.1219 0.7658 1.729 json
t20_x76_u0_b185 20 76 0 185 sub(R,mod(dot(R,D),D)) 174977 165482681 o2(x,o2(o2(x,x),x)) true 108223 108223 0.007312 0.4971 0.406 0.2319 0.4816 -1 1 2 1 4.899 0.004939 0.005682 0.08513 -0.06997 1 0.00006928 0.01582 0.07436 0.003374 0.05809 0.6823 0.59 0.0458 0.06822 1 1 0.01654 0.1715 0.4199 0.07131 0.7396 1.811 json
t20_x76_u0_b186 20 76 0 186 sub(R,mod(dst(R,D),D)) 174978 165482682 o2(x,o2(o2(x,x),x)) true 108231 108231 -0.1325 0.3946 0.4157 0.2262 0.4756 -1 0.9715 1.972 1 4.848 0.01157 0.006814 0.1111 0.2588 1 0.0003458 0.04748 0.1599 0.006034 0.07768 0.6989 0.5797 0.08128 0.2099 1 1 0.02063 0.1701 0.3935 0.09118 0.7521 1.739 json
t20_x76_u0_b187 20 76 0 187 sub(R,lrg(add(R,D),D)) 174979 165482683 o2(x,o2(o2(x,x),x)) true 108239 108239 -0.4734 0 0.4734 0.05091 0.2256 -0.9989 -0.002975 0.9959 1 3.815 0.0007236 0.0006853 0.03089 0.02719 1 0.00004432 0.00008334 0.007111 0.0004549 0.02133 0.6905 0.1132 0.02767 0.001637 1 1 0.002542 0.03267 0.08567 0.04993 0.6416 1.683 json
t20_x76_u0_b188 20 76 0 188 sub(R,lrg(sub(R,D),D)) 174980 165482684 o2(x,o2(o2(x,x),x)) true 108247 108247 -0.4835 0.06279 0.5012 0.1007 0.3174 -1 0.4989 1.499 1 4.188 0.03036 0.001359 0.09852 0.9143 1 0.0006151 0.05936 0.104 0.02202 0.1484 1.506 0.9993 0.315 0.5893 1 1 0.03282 0.1188 0.1622 0.3258 1.18 1.611 json
t20_x76_u0_b189 20 76 0 189 sub(R,lrg(mlt(R,D),D)) 174981 165482685 o2(x,o2(o2(x,x),x)) true 108255 108255 -0.4204 0.201 0.5662 0.2506 0.5006 -1 0.9804 1.98 1 4.386 0.0477 0.002539 0.1158 0.8989 1 0.0001124 0.08414 0.1109 0.03684 0.1919 1.658 1.023 0.2005 0.3357 1 1 0.05898 0.2859 0.2878 0.2353 1.141 1.149 json
t20_x76_u0_b190 20 76 0 190 sub(R,lrg(div(R,D),D)) 174982 165482686 o2(x,o2(o2(x,x),x)) true 108263 108263 -0.4262 0.2025 0.5807 0.2572 0.5071 -1 0.9802 1.98 1 4.396 0.04017 0.004495 0.1127 0.7987 1 0.000107 0.07687 0.1181 0.03196 0.1788 1.586 1.025 0.1737 0.2989 1 1 0.04944 0.2871 0.4821 0.1922 1.116 1.874 json
t20_x76_u0_b191 20 76 0 191 sub(R,lrg(pow(R,D),D)) 174983 165482687 o2(x,o2(o2(x,x),x)) true 108271 108271 -0.7845 0.001099 0.7845 0.07809 0.2794 -1 0.07115 1.071 1 2.82 0.003848 0.001722 0.04086 0.3816 1 0.0000666 0.006056 0.02516 0.003899 0.06244 1.528 0.9233 0.07133 0.07755 1 1 0.008141 0.06736 0.1504 0.1043 0.8626 1.926 json
t20_x76_u0_b192 20 76 0 192 sub(R,lrg(mod(R,D),D)) 174984 165482688 o2(x,o2(o2(x,x),x)) true 108279 108279 -0.4203 0.201 0.5661 0.2505 0.5005 -1 0.9804 1.98 1 4.386 0.04767 0.002537 0.1158 0.8989 1 0.0001124 0.08404 0.1109 0.0368 0.1918 1.657 1.023 0.2004 0.3354 1 1 0.05898 0.2859 0.2878 0.2354 1.141 1.149 json
t20_x76_u0_b193 20 76 0 193 sub(R,lrg(lrg(R,D),D)) 174985 165482689 o2(x,o2(o2(x,x),x)) true 108287 108287 -0.6017 0.0155 0.604 0.09636 0.3104 -1 0.251 1.251 1 3.771 0.02063 0.001393 0.07576 0.8734 1 0.0000626 0.03861 0.07468 0.01628 0.1276 1.684 0.9996 0.2285 0.4007 1 1 0.02434 0.1124 0.1421 0.2526 1.166 1.475 json
t20_x76_u0_b194 20 76 0 194 sub(R,lrg(eql(R,D),D)) 174986 165482690 o2(x,o2(o2(x,x),x)) true 108295 108295 -0.4204 0.201 0.5662 0.2506 0.5006 -1 0.9804 1.98 1 4.386 0.0477 0.002539 0.1158 0.8989 1 0.0001124 0.08414 0.1109 0.03684 0.1919 1.658 1.023 0.2005 0.3357 1 1 0.05898 0.2859 0.2878 0.2353 1.141 1.149 json
t20_x76_u0_b195 20 76 0 195 sub(R,lrg(min(R,D),D)) 174987 165482691 o2(x,o2(o2(x,x),x)) true 108303 108303 0.008979 0.4983 0.3946 0.2196 0.4686 -0.9989 0.9806 1.979 1 4.862 0.002813 0.00317 0.0632 -0.05957 1 0.00002651 0.0003508 0.01449 0.001989 0.0446 0.7057 0.2301 0.02725 0.001598 1 1 0.01182 0.1519 0.3914 0.05384 0.6917 1.782 json
t20_x76_u0_b196 20 76 0 196 sub(R,lrg(dot(R,D),D)) 174988 165482692 o2(x,o2(o2(x,x),x)) true 108311 108311 -0.4297 0.1904 0.5664 0.2413 0.4912 -1 0.969 1.969 1 4.383 0.02877 0.02433 0.1235 0.08349 1 0.0001837 0.1481 0.1457 0.03785 0.1945 1.575 1.417 0.2201 0.6138 1 1 0.06018 0.2911 0.4158 0.2494 1.206 1.723 json
t20_x76_u0_b197 20 76 0 197 sub(R,lrg(dst(R,D),D)) 174989 165482693 o2(x,o2(o2(x,x),x)) true 108319 108319 -0.7875 0.00354 0.7881 0.07875 0.2806 -1 0.3151 1.315 1 2.786 0.003157 0.002724 0.0397 0.07364 1 0.00006116 0.01003 0.0247 0.004304 0.0656 1.652 1.384 0.07468 0.1273 1 1 0.007957 0.06687 0.1507 0.101 0.8492 1.914 json
t20_x76_u0_b198 20 76 0 198 sub(R,eql(add(R,D),D)) 174990 165482694 o2(x,o2(o2(x,x),x)) true 108327 108327 0.008979 0.4983 0.3946 0.2196 0.4686 -0.9989 0.9806 1.979 1 4.862 0.002813 0.00317 0.0632 -0.05957 1 0.00002651 0.0003508 0.01449 0.001989 0.0446 0.7057 0.2301 0.02725 0.001598 1 1 0.01182 0.1519 0.3914 0.05384 0.6917 1.782 json
t20_x76_u0_b199 20 76 0 199 sub(R,eql(sub(R,D),D)) 174991 165482695 o2(x,o2(o2(x,x),x)) true 108335 108335 0.008979 0.4983 0.3946 0.2196 0.4686 -0.9989 0.9806 1.979 1 4.862 0.002813 0.00317 0.0632 -0.05957 1 0.00002651 0.0003508 0.01449 0.001989 0.0446 0.7057 0.2301 0.02725 0.001598 1 1 0.01182 0.1519 0.3914 0.05384 0.6917 1.782 json
t20_x76_u0_b200 20 76 0 200 sub(R,eql(mlt(R,D),D)) 174992 165482696 o2(x,o2(o2(x,x),x)) true 108343 108343 0.008979 0.4983 0.3946 0.2196 0.4686 -0.9989 0.9806 1.979 1 4.862 0.002813 0.00317 0.0632 -0.05957 1 0.00002651 0.0003508 0.01449 0.001989 0.0446 0.7057 0.2301 0.02725 0.001598 1 1 0.01182 0.1519 0.3914 0.05384 0.6917 1.782 json
t20_x77_u0_b0 20 77 0 0 add(R,add(add(R,D),R)) 174993 165522897 o2(x,o2(o2(x,x),x)) true 108351 108351 0.006773 0.4982 0.7712 0.6946 0.8334 -1 1 2 1 3.665 0.01468 0.01568 0.1027 -0.03272 1 0.00001169 0.009098 0.04238 0.01982 0.1408 1.371 0.7447 0.04371 0.0131 1 1 0.05818 0.5559 1.242 0.08376 0.8004 1.788 json
t20_x77_u0_b1 20 77 0 1 add(R,add(sub(R,D),R)) 174994 165522898 o2(x,o2(o2(x,x),x)) true 108359 108359 0.006629 0.4983 0.7716 0.6944 0.8333 -1 1 2 1 3.659 0.01457 0.0157 0.102 -0.03735 1 -0.00000677 0.009061 0.042 0.01985 0.1409 1.381 0.6818 0.04358 0.01305 1 1 0.0579 0.5533 1.244 0.08339 0.7969 1.791 json
t20_x77_u0_b2 20 77 0 2 add(R,add(mlt(R,D),R)) 174995 165522899 o2(x,o2(o2(x,x),x)) true 108367 108367 0.01377 0.4983 0.6598 0.547 0.7396 -1 1 2 1 4.409 0.009043 0.009812 0.09435 -0.04078 1 0.00001934 0.003314 0.0294 0.009956 0.09978 1.058 0.4733 0.03447 0.006059 1 1 0.03697 0.4138 0.9828 0.06759 0.7566 1.797 json
t20_x77_u0_b3 20 77 0 3 add(R,add(div(R,D),R)) 174996 165522900 o2(x,o2(o2(x,x),x)) true 108375 108375 0.00583 0.502 0.7973 0.7333 0.8563 -1 1 2 1 3.373 0.2633 0.03279 0.2471 0.7785 1 -0.0000263 0.5869 0.3304 0.2351 0.4849 1.962 2.828 0.4038 0.8004 1 1 0.3328 1.24 1.347 0.4539 1.69 1.836 json
t20_x77_u0_b4 20 77 0 4 add(R,add(pow(R,D),R)) 174997 165522901 o2(x,o2(o2(x,x),x)) true 108383 108383 -0.9141 0.04297 1 0.1645 0.4055 -1 1 2 1 0.2557 0.01688 0.01637 0.01653 0.0153 1 0 0.06953 0.03327 0.03296 0.1816 10.99 2.828 0.2022 0.4228 1 1 0.02542 0.1095 0.2757 0.1546 0.6658 1.676 json
t20_x77_u0_b5 20 77 0 5 add(R,add(mod(R,D),R)) 174998 165522902 o2(x,o2(o2(x,x),x)) true 108391 108391 0.006424 0.4964 0.6999 0.5969 0.7726 -1 1 2 1 4.221 0.01291 0.01114 0.1031 0.07361 1 0.0000875 0.01285 0.0679 0.01341 0.1158 1.123 0.6071 0.0403 0.02153 1 1 0.04315 0.4491 1.075 0.0723 0.7524 1.801 json
t20_x77_u0_b6 20 77 0 6 add(R,add(lrg(R,D),R)) 174999 165522903 o2(x,o2(o2(x,x),x)) true 108399 108399 0.2355 0.6083 0.7619 0.627 0.7918 -1 1 2 1 3.633 0.02561 0.01373 0.1118 0.302 1 -0.00005331 0.03486 0.07732 0.02683 0.1638 1.465 1.234 0.06273 0.05559 1 1 0.0618 0.5193 1.087 0.09856 0.8283 1.734 json