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_x52_u0_b132 20 52 0 132 sub(D,sub(add(R,R),D)) 170100 164513004 o2(x,o2(o2(x,x),x)) true 69207 69207 -0.01297 0.5021 0.6615 0.5514 0.7426 -1 1 2 1 4.371 0.01246 0.009593 0.1058 0.13 1 -0.00003672 0.004578 0.0362 0.01087 0.1042 0.9857 0.5122 0.04 0.008303 1 1 0.04266 0.4397 0.9608 0.07736 0.7975 1.742 json
t20_x52_u0_b133 20 52 0 133 sub(D,sub(sub(R,R),D)) 170101 164513005 o2(x,o2(o2(x,x),x)) true 69215 69215 0 0.5 0.1887 0.04329 0.2081 -0.2908 0.2908 0.5817 1 2.906 0.00653 0 0.07219 1 1 0 0.001025 0.02918 0.001321 0.03635 0.5036 0.1238 0.1508 0.02368 1 1 0.0126 0.08733 2.094e-14 0.2912 2.017 4.838e-13 json
t20_x52_u0_b134 20 52 0 134 sub(D,sub(mlt(R,R),D)) 170102 164513006 o2(x,o2(o2(x,x),x)) true 69223 69223 -0.3471 0.1611 0.3843 0.09799 0.313 -1 0.288 1.288 1 4.246 0.007166 0.0007846 0.07879 0.8026 1 -0.00002003 0.001196 0.02934 0.001743 0.04175 0.5299 0.2156 0.08114 0.01221 1 1 0.01505 0.1197 0.1037 0.1536 1.222 1.058 json
t20_x52_u0_b135 20 52 0 135 sub(D,sub(div(R,R),D)) 170103 164513007 o2(x,o2(o2(x,x),x)) true 69231 69231 -0.9056 0 0.9056 0.01274 0.1129 -1 -0.7092 0.2908 1 1.502 0.002837 5.953e-17 0.03593 1 1 -0.0003163 0.001202 0.02646 0.001545 0.03931 1.094 0.1113 0.2227 0.0944 1 1 0.005034 0.02185 1.171e-15 0.3952 1.716 9.19e-14 json
t20_x52_u0_b136 20 52 0 136 sub(D,sub(pow(R,R),D)) 170104 164513008 o2(x,o2(o2(x,x),x)) true 69239 69239 -0.9899 0 0.9899 0.003947 0.06283 -1 -0.4093 0.5907 1 0.2801 0.0004596 0.0003772 0.004196 0.09848 1 -0.00004067 0.001381 0.004866 0.0008196 0.02863 6.824 0.5901 0.212 0.3499 1 1 0.0007127 0.003428 0.00668 0.1805 0.8686 1.692 json
t20_x52_u0_b137 20 52 0 137 sub(D,sub(mod(R,R),D)) 170105 164513009 o2(x,o2(o2(x,x),x)) true 69247 69247 0.0161 0.5146 0.2346 0.0832 0.2884 -1 1 2 1 3.949 0.007144 0.0005467 0.07748 0.8578 1 9.894e-7 0.001122 0.02939 0.001689 0.0411 0.5305 0.2407 0.09243 0.01348 1 1 0.01546 0.1239 0.09606 0.1858 1.489 1.154 json
t20_x52_u0_b138 20 52 0 138 sub(D,sub(lrg(R,R),D)) 170106 164513010 o2(x,o2(o2(x,x),x)) true 69255 69255 0 0.5 0.1887 0.04329 0.2081 -0.2908 0.2908 0.5817 1 2.906 0.00653 0 0.07219 1 1 0 0.001025 0.02918 0.001321 0.03635 0.5036 0.1238 0.1508 0.02368 1 1 0.0126 0.08733 0 0.2912 2.017 0 json
t20_x52_u0_b139 20 52 0 139 sub(D,sub(eql(R,R),D)) 170107 164513011 o2(x,o2(o2(x,x),x)) true 69263 69263 -0.9056 0 0.9056 0.01274 0.1129 -1 -0.7092 0.2908 1 1.502 0.002837 0 0.03593 1 1 -0.0003163 0.001202 0.02646 0.001545 0.03931 1.094 0.1113 0.2227 0.0944 1 1 0.005034 0.02185 0 0.3952 1.716 0 json
t20_x52_u0_b140 20 52 0 140 sub(D,sub(min(R,R),D)) 170108 164513012 o2(x,o2(o2(x,x),x)) true 69271 69271 -0.009539 0.4975 0.418 0.2536 0.5036 -1 1 2 1 4.916 0.009059 0.003126 0.09585 0.4869 1 -0.00005092 0.001502 0.03032 0.002998 0.05475 0.5712 0.3105 0.04805 0.005922 1 1 0.02366 0.2303 0.3809 0.09331 0.9082 1.502 json
t20_x52_u0_b141 20 52 0 141 sub(D,sub(dot(R,R),D)) 170109 164513013 o2(x,o2(o2(x,x),x)) true 69279 69279 -0.825 0.006348 0.8259 0.06407 0.2531 -1 0.2699 1.27 1 2.635 0.003899 0.001114 0.04487 0.5555 1 -0.0001096 0.001555 0.02232 0.003 0.05477 1.221 0.2921 0.07824 0.02427 1 1 0.008906 0.06837 0.08777 0.139 1.067 1.37 json
t20_x52_u0_b142 20 52 0 142 sub(D,sub(dst(R,R),D)) 170110 164513014 o2(x,o2(o2(x,x),x)) true 69287 69287 0 0.5 0.1887 0.04329 0.2081 -0.2908 0.2908 0.5817 1 2.906 0.00653 0 0.07219 1 1 0 0.001025 0.02918 0.001321 0.03635 0.5036 0.1238 0.1508 0.02368 1 1 0.0126 0.08733 2.094e-14 0.2912 2.017 4.838e-13 json
t20_x52_u0_b143 20 52 0 143 sub(D,mlt(add(R,R),D)) 170111 164513015 o2(x,o2(o2(x,x),x)) true 69295 69295 -0.003018 0.4881 0.2013 0.07083 0.2661 -1 0.878 1.878 1 4.107 0.004759 0.000879 0.06438 0.6882 1 0.00007479 0.0006588 0.02042 0.001493 0.03864 0.6002 0.1929 0.0796 0.009301 1 1 0.01113 0.1115 0.1177 0.1571 1.574 1.662 json
t20_x52_u0_b144 20 52 0 144 sub(D,mlt(sub(R,R),D)) 170112 164513016 o2(x,o2(o2(x,x),x)) true 69303 69303 0 0.5 0.09436 0.01082 0.104 -0.1454 0.1454 0.2908 1 2.561 0.001632 0 0.03609 1 1 0 0.0002563 0.01459 0.0003304 0.01818 0.5036 0.06192 0.1508 0.02368 1 1 0.003151 0.02183 5.236e-15 0.2912 2.017 4.838e-13 json
t20_x52_u0_b145 20 52 0 145 sub(D,mlt(mlt(R,R),D)) 170113 164513017 o2(x,o2(o2(x,x),x)) true 69311 69311 0.0005061 0.5035 0.07568 0.008589 0.09267 -0.2643 0.2561 0.5204 1 2.637 0.0008967 0.00006439 0.0272 0.866 1 -0.00001161 0.0001361 0.01013 0.0002214 0.01488 0.547 0.06222 0.1119 0.01584 1 1 0.001823 0.01459 0.00836 0.2123 1.699 0.9733 json
t20_x52_u0_b146 20 52 0 146 sub(D,mlt(div(R,R),D)) 170114 164513018 o2(x,o2(o2(x,x),x)) true 69319 69319 3.33e-11 0 3.353e-9 3.812e-17 6.174e-9 -3.252e-8 3.252e-8 6.504e-8 1 0.01208 2.172e-18 5.421e-19 1.051e-9 0.00000163 0 -1.077e-13 2.927e-19 3.204e-10 1.61e-18 1.269e-9 1.208 7.446e-9 0.000002714 2.927e-7 0 1 5.085e-18 5.161e-17 6.469e-17 0.000005085 0.00005161 0.00006469 json
t20_x52_u0_b147 20 52 0 147 sub(D,mlt(pow(R,R),D)) 170115 164513019 o2(x,o2(o2(x,x),x)) true 69327 69327 -0.957 0.02209 0.9581 0.04125 0.2031 -1 0.07182 1.072 1 0.3055 0.004222 0.004055 0.008575 0.02012 1 -0.000001652 0.01731 0.01671 0.008198 0.09055 10.56 1.409 0.2007 0.4196 1 1 0.006298 0.02722 0.06944 0.1527 0.6599 1.684 json
t20_x52_u0_b148 20 52 0 148 sub(D,mlt(mod(R,R),D)) 170116 164513020 o2(x,o2(o2(x,x),x)) true 69335 69335 0.0006056 0.5012 0.1027 0.01438 0.1199 -0.513 0.3764 0.8894 1 2.929 0.001846 0.00004419 0.03842 0.9532 1 -0.00001525 0.0002841 0.01509 0.0004143 0.02035 0.5298 0.1224 0.1315 0.01976 1 1 0.003838 0.02878 0.007614 0.2669 2.002 0.5296 json
t20_x52_u0_b149 20 52 0 149 sub(D,mlt(lrg(R,R),D)) 170117 164513021 o2(x,o2(o2(x,x),x)) true 69343 69343 0 0.5 0.09436 0.01082 0.104 -0.1454 0.1454 0.2908 1 2.561 0.001632 0 0.0361 1 1 0 0.0002563 0.01459 0.0003304 0.01818 0.5036 0.06192 0.1508 0.02368 1 1 0.003151 0.02183 0 0.2912 2.017 0 json
t20_x52_u0_b150 20 52 0 150 sub(D,mlt(eql(R,R),D)) 170118 164513022 o2(x,o2(o2(x,x),x)) true 69351 69351 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_x52_u0_b151 20 52 0 151 sub(D,mlt(min(R,R),D)) 170119 164513023 o2(x,o2(o2(x,x),x)) true 69359 69359 -0.001509 0.496 0.1261 0.02573 0.1604 -0.5395 0.4734 1.013 1 3.398 0.002406 0.0002198 0.04408 0.8326 1 0.0000374 0.0003546 0.01586 0.0006828 0.02613 0.5927 0.1246 0.1021 0.01378 1 1 0.005155 0.04452 0.02942 0.2004 1.73 1.144 json
t20_x52_u0_b152 20 52 0 152 sub(D,mlt(dot(R,R),D)) 170120 164513024 o2(x,o2(o2(x,x),x)) true 69367 69367 0.001147 0.5049 0.07506 0.01086 0.1042 -0.5009 0.4212 0.9221 1 2.753 0.0005854 0.0001735 0.02345 0.5427 1 -0.00002975 0.00008011 0.006869 0.0002091 0.01446 0.6167 0.09395 0.06986 0.007374 1 1 0.001418 0.01543 0.02118 0.1305 1.42 1.95 json
t20_x52_u0_b153 20 52 0 153 sub(D,mlt(dst(R,R),D)) 170121 164513025 o2(x,o2(o2(x,x),x)) true 69375 69375 0 0.5 0.09436 0.01082 0.104 -0.1454 0.1454 0.2908 1 2.561 0.001632 0 0.03609 1 1 0 0.0002563 0.01459 0.0003304 0.01818 0.5036 0.06192 0.1508 0.02368 1 1 0.003151 0.02183 5.236e-15 0.2912 2.017 4.838e-13 json
t20_x52_u0_b154 20 52 0 154 sub(D,div(add(R,R),D)) 170122 164513026 o2(x,o2(o2(x,x),x)) true 69383 69383 -0.01274 0.494 0.8971 0.864 0.9295 -1 1 2 1 2.44 0.2733 0.04968 0.2375 0.6924 1 -8.949e-7 0.6284 0.3414 0.2666 0.5164 2.175 2.828 0.3738 0.7273 1 1 0.3713 1.627 1.616 0.4297 1.883 1.87 json
t20_x52_u0_b155 20 52 0 155 sub(D,div(sub(R,R),D)) 170123 164513027 o2(x,o2(o2(x,x),x)) true 69391 69391 0 0.5 0.09436 0.01082 0.104 -0.1454 0.1454 0.2908 1 2.561 0.001632 0 0.03609 1 1 0 0.0002563 0.01459 0.0003304 0.01818 0.5036 0.06192 0.1508 0.02368 1 1 0.003151 0.02183 5.236e-15 0.2912 2.017 4.838e-13 json
t20_x52_u0_b156 20 52 0 156 sub(D,div(mlt(R,R),D)) 170124 164513028 o2(x,o2(o2(x,x),x)) true 69399 69399 0.001847 0.5016 0.6389 0.5561 0.7457 -1 1 2 1 3.986 0.2581 0.003713 0.2419 0.9716 1 0.000007734 0.5049 0.3038 0.2033 0.4509 1.864 2.057 0.4709 0.908 1 1 0.2795 0.9319 0.2864 0.5026 1.676 0.515 json
t20_x52_u0_b157 20 52 0 157 sub(D,div(div(R,R),D)) 170125 164513029 o2(x,o2(o2(x,x),x)) true 69407 69407 -1.481e-8 0.5 0.9165 0.8888 0.9428 -1 1 2 1 1.544 0.3228 1.124e-17 0.246 1 1 1.108e-10 0.5327 0.323 0.2622 0.5121 2.081 2 0.3632 0.5994 1 1 0.3824 1.731 5.965e-16 0.4303 1.947 6.712e-16 json
t20_x52_u0_b158 20 52 0 158 sub(D,div(pow(R,R),D)) 170126 164513030 o2(x,o2(o2(x,x),x)) true 69415 69415 -0.957 0.02148 0.9948 0.07734 0.2781 -1 1 2 1 0.2479 0.01254 0.007547 0.01431 0.2488 1 3.935e-8 0.0384 0.02109 0.01988 0.141 9.853 2.828 0.2598 0.4965 1 1 0.01609 0.07606 0.1294 0.2081 0.9835 1.673 json
t20_x52_u0_b159 20 52 0 159 sub(D,div(mod(R,R),D)) 170127 164513031 o2(x,o2(o2(x,x),x)) true 69423 69423 0.004612 0.5014 0.2974 0.209 0.4572 -1 1 2 1 3.812 0.08468 0.004719 0.1058 0.8944 1 0.000004841 0.1816 0.1165 0.07821 0.2797 2.643 2.828 0.4278 0.8691 1 1 0.1119 0.4153 0.4622 0.5355 1.987 2.212 json
t20_x52_u0_b160 20 52 0 160 sub(D,div(lrg(R,R),D)) 170128 164513032 o2(x,o2(o2(x,x),x)) true 69431 69431 0 0.5 0.09436 0.01082 0.104 -0.1454 0.1454 0.2908 1 2.561 0.001632 0 0.0361 1 1 0 0.0002563 0.01459 0.0003304 0.01818 0.5036 0.06192 0.1508 0.02368 1 1 0.003151 0.02183 0 0.2912 2.017 0 json
t20_x52_u0_b161 20 52 0 161 sub(D,div(eql(R,R),D)) 170129 164513033 o2(x,o2(o2(x,x),x)) true 69439 69439 -2.98e-8 0.5 0.9165 0.8888 0.9428 -1 1 2 1 1.544 0.3228 0 0.246 1 1 0 0.5327 0.323 0.2622 0.5121 2.081 2 0.3632 0.5994 1 1 0.3824 1.731 0 0.4303 1.947 0 json
t20_x52_u0_b162 20 52 0 162 sub(D,div(min(R,R),D)) 170130 164513034 o2(x,o2(o2(x,x),x)) true 69447 69447 -0.01021 0.4942 0.8048 0.7427 0.8618 -1 1 2 1 3.314 0.2579 0.03215 0.2394 0.7783 1 0.00005605 0.58 0.3142 0.2328 0.4825 2.015 2.828 0.3905 0.781 1 1 0.3247 1.367 1.377 0.4372 1.841 1.854 json
t20_x52_u0_b163 20 52 0 163 sub(D,div(dot(R,R),D)) 170131 164513035 o2(x,o2(o2(x,x),x)) true 69455 69455 0.001064 0.5002 0.8865 0.8505 0.9223 -1 1 2 1 2.526 0.3125 0.001837 0.2485 0.9883 1 -0.00001935 0.5238 0.3294 0.2525 0.5025 2.022 2.053 0.3695 0.6158 1 1 0.3737 1.622 0.1247 0.4393 1.907 0.1466 json
t20_x52_u0_b164 20 52 0 164 sub(D,div(dst(R,R),D)) 170132 164513036 o2(x,o2(o2(x,x),x)) true 69463 69463 0 0.5 0.09436 0.01082 0.104 -0.1454 0.1454 0.2908 1 2.561 0.001632 0 0.03609 1 1 0 0.0002563 0.01459 0.0003304 0.01818 0.5036 0.06192 0.1508 0.02368 1 1 0.003151 0.02183 5.236e-15 0.2912 2.017 4.838e-13 json
t20_x52_u0_b165 20 52 0 165 sub(D,pow(add(R,R),D)) 170133 164513037 o2(x,o2(o2(x,x),x)) true 69471 69471 -0.9975 0 0.9975 0.00052 0.0228 -1 -0.5337 0.4663 1 0.1227 0.00004544 0.00006533 0.001081 -0.1795 1 -0.00001267 0.0001544 0.001054 0.0001095 0.01046 9.685 0.4663 0.213 0.2969 1 1 0.0001233 0.0006069 0.001052 0.2371 1.167 2.024 json
t20_x52_u0_b166 20 52 0 166 sub(D,pow(sub(R,R),D)) 170134 164513038 o2(x,o2(o2(x,x),x)) true 69479 69479 -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_x52_u0_b167 20 52 0 167 sub(D,pow(mlt(R,R),D)) 170135 164513039 o2(x,o2(o2(x,x),x)) true 69487 69487 -0.9288 0 0.9288 0.01925 0.1387 -1 -0.008192 0.9918 1 1.673 0.003473 0.0003782 0.03235 0.8036 1 -0.00005667 0.002669 0.02746 0.002805 0.05297 1.638 0.513 0.2001 0.1387 1 1 0.006275 0.02912 0.02783 0.3261 1.513 1.446 json
t20_x52_u0_b168 20 52 0 168 sub(D,pow(div(R,R),D)) 170136 164513040 o2(x,o2(o2(x,x),x)) true 69495 69495 -0.9529 0 0.9529 0.003185 0.05644 -1 -0.8546 0.1454 1 1.329 0.0007092 0 0.01796 1 1 -0.0001582 0.0003006 0.01323 0.0003863 0.01965 1.094 0.05567 0.2227 0.09439 1 1 0.001259 0.005463 0 0.3952 1.715 0 json
t20_x52_u0_b169 20 52 0 169 sub(D,pow(pow(R,R),D)) 170137 164513041 o2(x,o2(o2(x,x),x)) true 69503 69503 -0.9975 0 0.9975 0.0003557 0.01886 -1 -0.7807 0.2193 1 0.1416 0.00004667 0.00003205 0.001118 0.1857 0 -0.00002161 0.00009531 0.001114 0.00007744 0.0088 7.869 0.2202 0.2213 0.2679 1 1 0.0000751 0.0003251 0.0006111 0.2111 0.914 1.718 json
t20_x52_u0_b170 20 52 0 170 sub(D,pow(mod(R,R),D)) 170138 164513042 o2(x,o2(o2(x,x),x)) true 69511 69511 -0.9978 0.0003662 0.9979 0.001433 0.03785 -1 0.0726 1.073 1 0.05761 0.0002668 0.000202 0.0009593 0.1383 1 -2.628e-11 0.0008863 0.001124 0.0004673 0.02162 22.53 1.073 0.3272 0.6187 1 1 0.0009434 0.004013 0.005213 0.6585 2.801 3.639 json
t20_x52_u0_b171 20 52 0 171 sub(D,pow(lrg(R,R),D)) 170139 164513043 o2(x,o2(o2(x,x),x)) true 69519 69519 -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_x52_u0_b172 20 52 0 172 sub(D,pow(eql(R,R),D)) 170140 164513044 o2(x,o2(o2(x,x),x)) true 69527 69527 -0.9529 0 0.9529 0.003185 0.05644 -1 -0.8546 0.1454 1 1.329 0.0007092 0 0.01796 1 1 -0.0001582 0.0003006 0.01323 0.0003863 0.01965 1.094 0.05567 0.2227 0.09439 1 1 0.001259 0.005463 4.338e-15 0.3952 1.715 1.362e-12 json
t20_x52_u0_b173 20 52 0 173 sub(D,pow(min(R,R),D)) 170141 164513045 o2(x,o2(o2(x,x),x)) true 69535 69535 -0.9969 0 0.9969 0.0006959 0.02638 -1 -0.5144 0.4856 1 0.1491 0.00008572 0.00007964 0.001456 0.03678 1 -0.00002085 0.000218 0.001496 0.0001631 0.01277 8.773 0.4856 0.2376 0.3132 1 1 0.0001736 0.0007811 0.001361 0.2494 1.122 1.956 json
t20_x52_u0_b174 20 52 0 174 sub(D,pow(dot(R,R),D)) 170142 164513046 o2(x,o2(o2(x,x),x)) true 69543 69543 -0.9436 0 0.9436 0.008249 0.09082 -1 -0.304 0.696 1 1.553 0.001157 0.0001062 0.02148 0.8319 1 -0.0001657 0.0005685 0.01483 0.0008025 0.02833 1.319 0.2407 0.1532 0.06892 1 1 0.002051 0.01182 0.009717 0.2486 1.433 1.178 json
t20_x52_u0_b175 20 52 0 175 sub(D,pow(dst(R,R),D)) 170143 164513047 o2(x,o2(o2(x,x),x)) true 69551 69551 -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_x52_u0_b176 20 52 0 176 sub(D,mod(add(R,R),D)) 170144 164513048 o2(x,o2(o2(x,x),x)) true 69559 69559 0.004925 0.5099 0.1275 0.02623 0.162 -0.5039 0.5117 1.016 1 3.412 0.009492 0.0002369 0.07892 0.9513 1 0.00002692 0.02233 0.1094 0.0035 0.05916 0.7496 0.447 0.3709 0.8512 1 1 0.008495 0.03728 0.02785 0.3239 1.421 1.062 json
t20_x52_u0_b177 20 52 0 177 sub(D,mod(sub(R,R),D)) 170145 164513049 o2(x,o2(o2(x,x),x)) true 69567 69567 0 0.5 0.09436 0.01082 0.104 -0.1454 0.1454 0.2908 1 2.561 0.001632 0 0.03609 1 1 0 0.0002563 0.01459 0.0003304 0.01818 0.5036 0.06192 0.1508 0.02368 1 1 0.003151 0.02183 5.236e-15 0.2912 2.017 4.838e-13 json
t20_x52_u0_b178 20 52 0 178 sub(D,mod(mlt(R,R),D)) 170146 164513050 o2(x,o2(o2(x,x),x)) true 69575 69575 -0.1072 0.2946 0.1349 0.01769 0.133 -0.5187 0.1427 0.6614 1 3.021 0.006379 0.0000577 0.06259 0.9821 1 0.0002391 0.01214 0.07395 0.00252 0.0502 0.802 0.3441 0.3639 0.6862 1 1 0.007054 0.03295 0.007542 0.3988 1.863 0.4264 json
t20_x52_u0_b179 20 52 0 179 sub(D,mod(div(R,R),D)) 170147 164513051 o2(x,o2(o2(x,x),x)) true 69583 69583 -0.1577 0.2436 0.173 0.02144 0.1464 -0.4378 0.06119 0.4989 1 2.709 0.006006 2.104e-7 0.06566 0.9999 1 0.00002044 0.008634 0.07125 0.001696 0.04118 0.6272 0.1698 0.2801 0.4027 1 1 0.007744 0.04172 0.00003177 0.3612 1.946 0.001482 json
t20_x52_u0_b180 20 52 0 180 sub(D,mod(pow(R,R),D)) 170148 164513052 o2(x,o2(o2(x,x),x)) true 69591 69591 -0.9626 0.01192 0.9635 0.03202 0.1789 -1 0.1151 1.115 1 0.3804 0.00454 0.00315 0.01083 0.1807 1 0.00003891 0.01669 0.01996 0.007576 0.08704 8.037 1.363 0.2401 0.5212 1 1 0.005592 0.02146 0.05338 0.1746 0.6702 1.667 json
t20_x52_u0_b181 20 52 0 181 sub(D,mod(mod(R,R),D)) 170149 164513053 o2(x,o2(o2(x,x),x)) true 69599 69599 0.003092 0.5095 0.102 0.01405 0.1185 -0.4774 0.5114 0.9888 1 2.92 0.003207 0.00004379 0.04548 0.9731 1 -0.00001668 0.004471 0.03504 0.001183 0.03439 0.7561 0.4407 0.2314 0.3182 1 1 0.004685 0.02613 0.00846 0.3335 1.86 0.6021 json
t20_x52_u0_b182 20 52 0 182 sub(D,mod(lrg(R,R),D)) 170150 164513054 o2(x,o2(o2(x,x),x)) true 69607 69607 0 0.5 0.09436 0.01082 0.104 -0.1454 0.1454 0.2908 1 2.561 0.001632 0 0.0361 1 1 0 0.0002563 0.01459 0.0003304 0.01818 0.5036 0.06192 0.1508 0.02368 1 1 0.003151 0.02183 0 0.2912 2.017 0 json
t20_x52_u0_b183 20 52 0 183 sub(D,mod(eql(R,R),D)) 170151 164513055 o2(x,o2(o2(x,x),x)) true 69615 69615 -0.1568 0.25 0.173 0.02169 0.1473 -0.4378 0.06119 0.4989 1 2.703 0.006089 0 0.06591 1 1 0.00002037 0.008796 0.07294 0.001747 0.04179 0.634 0.1698 0.2807 0.4055 1 1 0.00785 0.04218 0 0.3619 1.945 0 json
t20_x52_u0_b184 20 52 0 184 sub(D,mod(min(R,R),D)) 170152 164513056 o2(x,o2(o2(x,x),x)) true 69623 69623 0.006161 0.5091 0.1265 0.02569 0.1603 -0.5037 0.5115 1.015 1 3.398 0.008444 0.0002258 0.07528 0.9479 1 0.00001868 0.01842 0.09861 0.003002 0.05479 0.7279 0.4407 0.3375 0.7169 1 1 0.00852 0.03813 0.02848 0.3316 1.484 1.109 json
t20_x52_u0_b185 20 52 0 185 sub(D,mod(dot(R,R),D)) 170153 164513057 o2(x,o2(o2(x,x),x)) true 69631 69631 -0.1413 0.2454 0.1603 0.02109 0.1452 -0.5226 0.1336 0.6562 1 3.112 0.01054 0.00005524 0.08103 0.9896 1 0.0003842 0.02409 0.1153 0.004029 0.06348 0.7834 0.3908 0.5025 1.143 1 1 0.009288 0.04001 0.007263 0.4405 1.898 0.3444 json
t20_x52_u0_b186 20 52 0 186 sub(D,mod(dst(R,R),D)) 170154 164513058 o2(x,o2(o2(x,x),x)) true 69639 69639 0 0.5 0.09436 0.01082 0.104 -0.1454 0.1454 0.2908 1 2.561 0.001632 0 0.03609 1 1 0 0.0002563 0.01459 0.0003304 0.01818 0.5036 0.06192 0.1508 0.02368 1 1 0.003151 0.02183 5.236e-15 0.2912 2.017 4.838e-13 json
t20_x52_u0_b187 20 52 0 187 sub(D,lrg(add(R,R),D)) 170155 164513059 o2(x,o2(o2(x,x),x)) true 69647 69647 -0.4798 0.1552 0.5011 0.1573 0.3966 -1 0.1454 1.145 1 3.981 0.01149 0.002237 0.07571 0.6742 1 -0.0001023 0.01643 0.04402 0.008 0.08944 1.181 1.048 0.08728 0.1044 1 1 0.0184 0.1456 0.277 0.1169 0.9253 1.761 json
t20_x52_u0_b188 20 52 0 188 sub(D,lrg(sub(R,R),D)) 170156 164513060 o2(x,o2(o2(x,x),x)) true 69655 69655 -0.4823 0.3125 0.5176 0.2029 0.4504 -1 0.09672 1.097 1 2.852 0.07311 0 0.1349 1 1 -0.00006836 0.122 0.1445 0.05491 0.2343 1.737 1.031 0.3604 0.6012 1 1 0.08612 0.3709 0 0.4245 1.828 0 json
t20_x52_u0_b189 20 52 0 189 sub(D,lrg(mlt(R,R),D)) 170157 164513061 o2(x,o2(o2(x,x),x)) true 69663 69663 -0.7366 0.07249 0.744 0.1166 0.3415 -1 0.09672 1.097 1 3.1 0.03505 0.0009637 0.09782 0.9465 1 -0.0003677 0.05992 0.09882 0.02645 0.1626 1.663 1.049 0.3089 0.5138 1 1 0.04153 0.1837 0.1297 0.3561 1.576 1.112 json
t20_x52_u0_b190 20 52 0 190 sub(D,lrg(div(R,R),D)) 170158 164513062 o2(x,o2(o2(x,x),x)) true 69671 69671 -0.9529 0 0.9529 0.003185 0.05644 -1 -0.8546 0.1454 1 1.329 0.0007092 0 0.01796 1 1 -0.0001582 0.0003006 0.01323 0.0003863 0.01965 1.094 0.05567 0.2227 0.09439 1 1 0.001259 0.005463 0 0.3952 1.715 0 json
t20_x52_u0_b191 20 52 0 191 sub(D,lrg(pow(R,R),D)) 170159 164513063 o2(x,o2(o2(x,x),x)) true 69679 69679 -0.9529 0 0.9529 0.003185 0.05644 -1 -0.8546 0.1454 1 1.329 0.0007092 0 0.01796 1 1 -0.0001582 0.0003006 0.01323 0.0003863 0.01965 1.094 0.05567 0.2227 0.09439 1 1 0.001259 0.005463 0 0.3952 1.715 0 json
t20_x52_u0_b192 20 52 0 192 sub(D,lrg(mod(R,R),D)) 170160 164513064 o2(x,o2(o2(x,x),x)) true 69687 69687 -0.475 0.2767 0.5067 0.1894 0.4352 -1 0.1454 1.145 1 3.345 0.05974 0.0006136 0.1273 0.9797 1 -0.00003684 0.09972 0.1307 0.04417 0.2102 1.652 1.032 0.3186 0.5264 1 1 0.06814 0.3081 0.104 0.3597 1.626 0.5492 json
t20_x52_u0_b193 20 52 0 193 sub(D,lrg(lrg(R,R),D)) 170161 164513065 o2(x,o2(o2(x,x),x)) true 69695 69695 -0.4823 0.3125 0.5176 0.2029 0.4504 -1 0.09672 1.097 1 2.852 0.07311 0 0.1349 1 1 -0.00006836 0.122 0.1445 0.05491 0.2343 1.737 1.031 0.3604 0.6012 1 1 0.08612 0.3709 0 0.4245 1.828 0 json
t20_x52_u0_b194 20 52 0 194 sub(D,lrg(eql(R,R),D)) 170162 164513066 o2(x,o2(o2(x,x),x)) true 69703 69703 -0.9529 0 0.9529 0.003185 0.05644 -1 -0.8546 0.1454 1 1.329 0.0007092 0 0.01796 1 1 -0.0001582 0.0003006 0.01323 0.0003863 0.01965 1.094 0.05567 0.2227 0.09439 1 1 0.001259 0.005463 0 0.3952 1.715 0 json
t20_x52_u0_b195 20 52 0 195 sub(D,lrg(min(R,R),D)) 170163 164513067 o2(x,o2(o2(x,x),x)) true 69711 69711 -0.49 0.1521 0.5086 0.1563 0.3954 -1 0.1454 1.145 1 3.939 0.02197 0.002084 0.09428 0.8268 1 -0.00002828 0.03678 0.07581 0.01517 0.1232 1.307 1.048 0.1539 0.2353 1 1 0.02801 0.1648 0.2571 0.1792 1.054 1.645 json
t20_x52_u0_b196 20 52 0 196 sub(D,lrg(dot(R,R),D)) 170164 164513068 o2(x,o2(o2(x,x),x)) true 69719 69719 -0.9164 0.003708 0.9167 0.02189 0.148 -1 0.09644 1.096 1 1.915 0.007614 0.0002517 0.03843 0.936 1 -0.0004031 0.01415 0.03722 0.006389 0.07993 2.08 1.048 0.3592 0.6464 1 1 0.007875 0.02872 0.02737 0.3597 1.312 1.25 json
t20_x52_u0_b197 20 52 0 197 sub(D,lrg(dst(R,R),D)) 170165 164513069 o2(x,o2(o2(x,x),x)) true 69727 69727 -0.4823 0.3125 0.5176 0.2029 0.4504 -1 0.09672 1.097 1 2.852 0.07311 0 0.1349 1 1 -0.00006836 0.122 0.1445 0.05491 0.2343 1.737 1.031 0.3604 0.6012 1 1 0.08612 0.3709 0 0.4245 1.828 0 json
t20_x52_u0_b198 20 52 0 198 sub(D,eql(add(R,R),D)) 170166 164513070 o2(x,o2(o2(x,x),x)) true 69735 69735 0 0.5 0.09436 0.01082 0.104 -0.1454 0.1454 0.2908 1 2.561 0.001632 0 0.0361 1 1 0 0.0002563 0.01459 0.0003304 0.01818 0.5036 0.06192 0.1508 0.02368 1 1 0.003151 0.02183 0 0.2912 2.017 0 json
t20_x52_u0_b199 20 52 0 199 sub(D,eql(sub(R,R),D)) 170167 164513071 o2(x,o2(o2(x,x),x)) true 69743 69743 0 0.5 0.09436 0.01082 0.104 -0.1454 0.1454 0.2908 1 2.561 0.001632 0 0.0361 1 1 0 0.0002563 0.01459 0.0003304 0.01818 0.5036 0.06192 0.1508 0.02368 1 1 0.003151 0.02183 0 0.2912 2.017 0 json
t20_x52_u0_b200 20 52 0 200 sub(D,eql(mlt(R,R),D)) 170168 164513072 o2(x,o2(o2(x,x),x)) true 69751 69751 -0.0002441 0.4996 0.09458 0.011 0.1049 -0.9685 0.1454 1.114 1 2.566 0.002024 0.000002791 0.03655 0.9972 1 3.564e-7 0.001449 0.01559 0.0006917 0.0263 0.7196 1.055 0.1843 0.1317 1 1 0.003151 0.02183 0 0.2865 1.985 0 json
t20_x53_u0_b0 20 53 0 0 add(D,add(add(R,R),R)) 170169 164553273 o2(x,o2(o2(x,x),x)) true 69759 69759 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_x53_u0_b1 20 53 0 1 add(D,add(sub(R,R),R)) 170170 164553274 o2(x,o2(o2(x,x),x)) true 69767 69767 0.009078 0.4986 0.4013 0.2304 0.48 -1 1 2 1 4.899 0.004471 0.003165 0.07546 0.1709 1 0.00002869 0.0006263 0.01935 0.001942 0.04407 0.584 0.2845 0.03314 0.002718 1 1 0.01508 0.1746 0.3904 0.06546 0.7577 1.694 json
t20_x53_u0_b2 20 53 0 2 add(D,add(mlt(R,R),R)) 170171 164553275 o2(x,o2(o2(x,x),x)) true 69775 69775 0.3057 0.6618 0.415 0.1992 0.4463 -0.3906 1 1.391 1 4.199 0.00441 0.003225 0.0678 0.1552 1 -0.00003479 0.001289 0.02104 0.003038 0.05512 0.813 0.3062 0.03833 0.006468 1 1 0.01523 0.164 0.3792 0.07648 0.8231 1.904 json
t20_x53_u0_b3 20 53 0 3 add(D,add(div(R,R),R)) 170172 164553276 o2(x,o2(o2(x,x),x)) true 69783 69783 0.8037 0.9934 0.8041 0.07377 0.2716 -0.1152 1 1.115 1 2.737 0.002067 0.001466 0.03716 0.17 1 -0.00002939 0.000931 0.01535 0.002152 0.04639 1.249 0.2737 0.0479 0.01262 1 1 0.006608 0.06117 0.1158 0.08958 0.8292 1.57 json
t20_x53_u0_b4 20 53 0 4 add(D,add(pow(R,R),R)) 170173 164553277 o2(x,o2(o2(x,x),x)) true 69791 69791 -0.9144 0.04297 0.9997 0.1632 0.404 -1 1 2 1 0.2722 0.01676 0.01624 0.01663 0.01582 1 -8.492e-8 0.06902 0.03327 0.03271 0.1809 10.88 2.828 0.2021 0.4228 1 1 0.02534 0.1092 0.2745 0.1552 0.6689 1.681 json
t20_x53_u0_b5 20 53 0 5 add(D,add(mod(R,R),R)) 170174 164553278 o2(x,o2(o2(x,x),x)) true 69799 69799 -0.001473 0.4952 0.4641 0.3033 0.5507 -1 1 2 1 4.954 0.005703 0.004448 0.08229 0.1236 1 0.00001325 0.001147 0.02207 0.003379 0.05813 0.7064 0.4871 0.03347 0.003782 1 1 0.02121 0.2429 0.561 0.06993 0.801 1.85 json
t20_x53_u0_b6 20 53 0 6 add(D,add(lrg(R,R),R)) 170175 164553279 o2(x,o2(o2(x,x),x)) true 69807 69807 0.009078 0.4986 0.4013 0.2304 0.48 -1 1 2 1 4.899 0.004471 0.003165 0.07546 0.1709 1 0.00002869 0.0006263 0.01935 0.001942 0.04407 0.584 0.2845 0.03314 0.002718 1 1 0.01508 0.1746 0.3904 0.06546 0.7577 1.694 json
t20_x53_u0_b7 20 53 0 7 add(D,add(eql(R,R),R)) 170176 164553280 o2(x,o2(o2(x,x),x)) true 69815 69815 0.8037 0.9934 0.8041 0.07377 0.2716 -0.1152 1 1.115 1 2.737 0.002067 0.001466 0.03716 0.17 1 -0.00002939 0.000931 0.01535 0.002152 0.04639 1.249 0.2737 0.0479 0.01262 1 1 0.006608 0.06117 0.1158 0.08958 0.8292 1.57 json
t20_x53_u0_b8 20 53 0 8 add(D,add(min(R,R),R)) 170177 164553281 o2(x,o2(o2(x,x),x)) true 69823 69823 0.01389 0.4983 0.6587 0.546 0.7389 -1 1 2 1 4.407 0.009733 0.009689 0.09801 0.002294 1 0.00002822 0.003497 0.03103 0.009815 0.09907 1.011 0.5146 0.03557 0.006403 1 1 0.03804 0.4168 0.9707 0.06967 0.7633 1.778 json
t20_x53_u0_b9 20 53 0 9 add(D,add(dot(R,R),R)) 170178 164553282 o2(x,o2(o2(x,x),x)) true 69831 69831 0.7586 0.9751 0.7637 0.09623 0.3102 -0.3203 1 1.32 1 3.003 0.00278 0.002039 0.04368 0.1537 1 -0.00006536 0.00137 0.01846 0.002912 0.05396 1.235 0.3211 0.05009 0.01424 1 1 0.009175 0.08602 0.1798 0.09534 0.8939 1.868 json
t20_x53_u0_b10 20 53 0 10 add(D,add(dst(R,R),R)) 170179 164553283 o2(x,o2(o2(x,x),x)) true 69839 69839 0.009078 0.4986 0.4013 0.2304 0.48 -1 1 2 1 4.899 0.004471 0.003165 0.07546 0.1709 1 0.00002869 0.0006263 0.01935 0.001942 0.04407 0.584 0.2845 0.03314 0.002718 1 1 0.01508 0.1746 0.3904 0.06546 0.7577 1.694 json
t20_x53_u0_b11 20 53 0 11 add(D,sub(add(R,R),R)) 170180 164553284 o2(x,o2(o2(x,x),x)) true 69847 69847 0.009078 0.4986 0.4013 0.2304 0.48 -1 1 2 1 4.899 0.004471 0.003165 0.07546 0.1709 1 0.00002869 0.0006263 0.01935 0.001942 0.04407 0.584 0.2845 0.03314 0.002718 1 1 0.01508 0.1746 0.3904 0.06546 0.7577 1.694 json
t20_x53_u0_b12 20 53 0 12 add(D,sub(sub(R,R),R)) 170181 164553285 o2(x,o2(o2(x,x),x)) true 69855 69855 -0.009165 0.5021 0.4005 0.2287 0.4782 -1 1 2 1 4.894 0.004393 0.003164 0.07461 0.1626 1 -0.00003074 0.0006179 0.01902 0.001989 0.0446 0.5978 0.2561 0.03305 0.002702 1 1 0.01479 0.1717 0.3901 0.06468 0.751 1.706 json
t20_x53_u0_b13 20 53 0 13 add(D,sub(mlt(R,R),R)) 170182 164553286 o2(x,o2(o2(x,x),x)) true 69863 69863 0.2889 0.6783 0.3904 0.1791 0.4232 -0.3944 1 1.394 1 4.263 0.003769 0.002799 0.06358 0.1477 1 -0.00007562 0.001019 0.01926 0.002526 0.05026 0.7906 0.2962 0.03667 0.00569 1 1 0.01227 0.131 0.2794 0.06849 0.7315 1.56 json
t20_x53_u0_b14 20 53 0 14 add(D,sub(div(R,R),R)) 170183 164553287 o2(x,o2(o2(x,x),x)) true 69871 69871 0.795 0.9954 0.7953 0.07638 0.2764 -0.09531 1 1.095 1 2.743 0.002232 0.001587 0.03864 0.1687 1 -0.00009211 0.0009438 0.0152 0.002327 0.04824 1.248 0.2462 0.05 0.01236 1 1 0.007307 0.06934 0.1422 0.09567 0.9078 1.862 json
t20_x53_u0_b15 20 53 0 15 add(D,sub(pow(R,R),R)) 170184 164553288 o2(x,o2(o2(x,x),x)) true 69879 69879 -0.9478 0.03717 0.967 0.06233 0.2497 -1 0.7947 1.795 1 0.4079 0.00657 0.006109 0.01167 0.03637 1 -0.00001555 0.02637 0.02077 0.01254 0.112 9.597 1.866 0.2034 0.423 1 1 0.009132 0.03959 0.1027 0.1465 0.6351 1.648 json
t20_x53_u0_b16 20 53 0 16 add(D,sub(mod(R,R),R)) 170185 164553289 o2(x,o2(o2(x,x),x)) true 69887 69887 -0.02524 0.4886 0.3494 0.1907 0.4366 -1 1 2 1 4.788 0.003819 0.002459 0.06817 0.2166 1 -0.00004046 0.0005313 0.01791 0.001632 0.0404 0.5926 0.2561 0.03293 0.002787 1 1 0.01166 0.1315 0.3154 0.06117 0.6899 1.654 json
t20_x53_u0_b17 20 53 0 17 add(D,sub(lrg(R,R),R)) 170186 164553290 o2(x,o2(o2(x,x),x)) true 69895 69895 -0.009165 0.5021 0.4005 0.2287 0.4782 -1 1 2 1 4.894 0.004393 0.003164 0.07461 0.1626 1 -0.00003074 0.0006179 0.01902 0.001989 0.0446 0.5978 0.2561 0.03305 0.002702 1 1 0.01479 0.1717 0.3901 0.06468 0.751 1.706 json
t20_x53_u0_b18 20 53 0 18 add(D,sub(eql(R,R),R)) 170187 164553291 o2(x,o2(o2(x,x),x)) true 69903 69903 0.795 0.9954 0.7953 0.07638 0.2764 -0.09531 1 1.095 1 2.743 0.002232 0.001587 0.03864 0.1687 1 -0.00009211 0.0009438 0.0152 0.002327 0.04824 1.248 0.2462 0.05 0.01236 1 1 0.007307 0.06934 0.1422 0.09567 0.9078 1.862 json
t20_x53_u0_b19 20 53 0 19 add(D,sub(min(R,R),R)) 170188 164553292 o2(x,o2(o2(x,x),x)) true 69911 69911 0 0.5 0.09436 0.01082 0.104 -0.1454 0.1454 0.2908 1 2.561 0.001632 0 0.03609 1 1 0 0.0002563 0.01459 0.0003304 0.01818 0.5036 0.06192 0.1508 0.02368 1 1 0.003151 0.02183 5.236e-15 0.2912 2.017 4.838e-13 json
t20_x53_u0_b20 20 53 0 20 add(D,sub(dot(R,R),R)) 170189 164553293 o2(x,o2(o2(x,x),x)) true 69919 69919 0.7607 0.9834 0.7637 0.08846 0.2974 -0.2761 1 1.276 1 3.035 0.002371 0.001782 0.04169 0.142 1 -0.00007535 0.001101 0.01687 0.002416 0.04915 1.179 0.3155 0.04695 0.01245 1 1 0.007161 0.06623 0.1304 0.08096 0.7488 1.474 json
t20_x53_u0_b21 20 53 0 21 add(D,sub(dst(R,R),R)) 170190 164553294 o2(x,o2(o2(x,x),x)) true 69927 69927 -0.009165 0.5021 0.4005 0.2287 0.4782 -1 1 2 1 4.894 0.004393 0.003164 0.07461 0.1626 1 -0.00003074 0.0006179 0.01902 0.001989 0.0446 0.5978 0.2561 0.03305 0.002702 1 1 0.01479 0.1717 0.3901 0.06468 0.751 1.706 json
t20_x53_u0_b22 20 53 0 22 add(D,mlt(add(R,R),R)) 170191 164553295 o2(x,o2(o2(x,x),x)) true 69935 69935 0.6012 0.9635 0.605 0.1206 0.3473 -0.1425 1 1.143 1 3.683 0.003037 0.002035 0.05258 0.1974 1 -0.00008068 0.001038 0.01814 0.002307 0.04803 0.9135 0.2661 0.04205 0.008609 1 1 0.009117 0.09151 0.2294 0.07558 0.7587 1.902 json
t20_x53_u0_b23 20 53 0 23 add(D,mlt(sub(R,R),R)) 170192 164553296 o2(x,o2(o2(x,x),x)) true 69943 69943 0 0.5 0.09436 0.01082 0.104 -0.1454 0.1454 0.2908 1 2.561 0.001632 0 0.03609 1 1 0 0.0002563 0.01459 0.0003304 0.01818 0.5036 0.06192 0.1508 0.02368 1 1 0.003151 0.02183 5.236e-15 0.2912 2.017 4.838e-13 json
t20_x53_u0_b24 20 53 0 24 add(D,mlt(mlt(R,R),R)) 170193 164553297 o2(x,o2(o2(x,x),x)) true 69951 69951 0.01553 0.5291 0.2479 0.1087 0.3297 -1 1 2 1 4.38 0.002895 0.001383 0.05621 0.3533 1 0.00004327 0.0004162 0.01631 0.001119 0.03345 0.5951 0.2775 0.03935 0.003828 1 1 0.008108 0.08507 0.169 0.07457 0.7824 1.554 json
t20_x53_u0_b25 20 53 0 25 add(D,mlt(div(R,R),R)) 170194 164553298 o2(x,o2(o2(x,x),x)) true 69959 69959 0.009078 0.4986 0.4013 0.2304 0.48 -1 1 2 1 4.899 0.004471 0.003165 0.07546 0.1709 1 0.00002869 0.0006263 0.01935 0.001942 0.04407 0.584 0.2845 0.03314 0.002718 1 1 0.01508 0.1746 0.3904 0.06546 0.7577 1.694 json
t20_x53_u0_b26 20 53 0 26 add(D,mlt(pow(R,R),R)) 170195 164553299 o2(x,o2(o2(x,x),x)) true 69967 69967 -0.9373 0.04266 0.9768 0.08951 0.2992 -1 1 2 1 0.4179 0.009009 0.009037 0.01376 -0.001527 1 -0.000001413 0.03759 0.02466 0.01786 0.1336 9.71 2.454 0.2016 0.42 1 1 0.0142 0.06171 0.1503 0.1587 0.6895 1.68 json
t20_x53_u0_b27 20 53 0 27 add(D,mlt(mod(R,R),R)) 170196 164553300 o2(x,o2(o2(x,x),x)) true 69975 69975 0.06594 0.6055 0.1354 0.03136 0.1771 -0.1454 1 1.145 1 3.231 0.001904 0.0002746 0.04073 0.7479 1 -0.00001359 0.0002881 0.01485 0.00052 0.0228 0.5599 0.1639 0.06947 0.009189 1 1 0.004526 0.03941 0.04758 0.1443 1.257 1.517 json
t20_x53_u0_b28 20 53 0 28 add(D,mlt(lrg(R,R),R)) 170197 164553301 o2(x,o2(o2(x,x),x)) true 69983 69983 0 0.5 0.09436 0.01082 0.104 -0.1454 0.1454 0.2908 1 2.561 0.001632 0 0.0361 1 1 0 0.0002563 0.01459 0.0003304 0.01818 0.5036 0.06192 0.1508 0.02368 1 1 0.003151 0.02183 0 0.2912 2.017 0 json
t20_x53_u0_b29 20 53 0 29 add(D,mlt(eql(R,R),R)) 170198 164553302 o2(x,o2(o2(x,x),x)) true 69991 69991 0.009078 0.4986 0.4013 0.2304 0.48 -1 1 2 1 4.899 0.004471 0.003165 0.07546 0.1709 1 0.00002869 0.0006263 0.01935 0.001942 0.04407 0.584 0.2845 0.03314 0.002718 1 1 0.01508 0.1746 0.3904 0.06546 0.7577 1.694 json
t20_x53_u0_b30 20 53 0 30 add(D,mlt(min(R,R),R)) 170199 164553303 o2(x,o2(o2(x,x),x)) true 69999 69999 0.3492 0.9193 0.3578 0.06782 0.2604 -0.144 1 1.144 1 4.016 0.002354 0.0008003 0.04923 0.4925 1 -8.21e-7 0.000355 0.01524 0.0007303 0.02702 0.5489 0.1655 0.04651 0.005235 1 1 0.005848 0.05668 0.1066 0.08622 0.8358 1.571 json