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_x37_u0_b147 20 37 0 147 sub(D,mlt(pow(D,P),D)) 167100 163907004 o2(x,o2(o2(x,x),x)) true 45207 45207 -0.9598 0 0.9598 0.03147 0.1774 -1 -0.000009095 1 1 0.5054 0.004308 0 0.007936 1 1 -4.731e-10 0.007959 0.008813 0.004244 0.06515 8.209 1 0.1369 0.2529 1 1 0.00615 0.03033 0.04461 0.1954 0.9636 1.417 json
t20_x37_u0_b148 20 37 0 148 sub(D,mlt(mod(D,P),D)) 167101 163907005 o2(x,o2(o2(x,x),x)) true 45215 45215 -0.2291 0.2734 0.2556 0.1014 0.3184 -1 0.08161 1.082 1 2.909 0.01043 0 0.05012 1 1 0.0002405 0.01645 0.0321 0.007922 0.08901 1.776 1.03 0.1029 0.1622 1 1 0.01497 0.06331 0.1339 0.1476 0.6243 1.32 json
t20_x37_u0_b149 20 37 0 149 sub(D,mlt(lrg(D,P),D)) 167102 163907006 o2(x,o2(o2(x,x),x)) true 45223 45223 -0.01788 0.2188 0.05916 0.008124 0.09014 -0.2729 0.1454 0.4183 1 2.354 0.0009024 0 0.02014 1 1 0.0001582 0.0001373 0.007876 0.0004969 0.02229 1.107 0.0622 0.1111 0.0169 1 1 0.00182 0.01371 0.005001 0.224 1.688 0.6155 json
t20_x37_u0_b150 20 37 0 150 sub(D,mlt(eql(D,P),D)) 167103 163907007 o2(x,o2(o2(x,x),x)) true 45231 45231 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_x37_u0_b151 20 37 0 151 sub(D,mlt(min(D,P),D)) 167104 163907008 o2(x,o2(o2(x,x),x)) true 45239 45239 0.005209 0.4492 0.3066 0.1738 0.4168 -1 1 2 1 4.334 0.0237 0 0.1069 1 1 -0.0005704 0.004677 0.04479 0.01227 0.1108 1.036 0.4953 0.1364 0.02692 1 1 0.03049 0.2062 0.01347 0.1755 1.187 0.07751 json
t20_x37_u0_b152 20 37 0 152 sub(D,mlt(dot(D,P),D)) 167105 163907009 o2(x,o2(o2(x,x),x)) true 45247 45247 -6.04e-10 0.4999 0.4287 0.318 0.5639 -1 1 2 1 4.552 0.01955 0.0003241 0.1056 0.9674 1 1.689e-11 0.006361 0.05417 0.008726 0.09341 0.8849 0.3932 0.06248 0.02 1 1 0.02833 0.1747 0.03289 0.08907 0.5494 0.1034 json
t20_x37_u0_b153 20 37 0 153 sub(D,mlt(dst(D,P),D)) 167106 163907010 o2(x,o2(o2(x,x),x)) true 45255 45255 -1.134e-9 0.5 0.4994 0.3471 0.5891 -1 1 2 1 4.907 0.04758 0.00005826 0.1746 0.9976 1 -2.684e-10 0.009984 0.07471 0.01716 0.131 0.7501 0.6009 0.1373 0.02877 1 1 0.05225 0.366 0.02843 0.1506 1.055 0.08193 json
t20_x37_u0_b154 20 37 0 154 sub(D,div(add(D,P),D)) 167107 163907011 o2(x,o2(o2(x,x),x)) true 45263 45263 0.008395 0.5 0.9652 0.9495 0.9744 -1 1 2 1 1.624 0.4246 0 0.2381 1 1 1.892e-9 0.8192 0.4341 0.3679 0.6065 2.547 2 0.4472 0.8628 1 1 0.4251 1.8 0.2793 0.4477 1.895 0.2942 json
t20_x37_u0_b155 20 37 0 155 sub(D,div(sub(D,P),D)) 167108 163907012 o2(x,o2(o2(x,x),x)) true 45271 45271 -0.213 0.3906 0.9667 0.9085 0.9532 -1 1 2 1 1.516 0.3573 0 0.2229 1 1 9.386e-12 0.6309 0.3795 0.3075 0.5545 2.487 2 0.3932 0.6944 1 1 0.3863 1.491 0.2786 0.4251 1.641 0.3066 json
t20_x37_u0_b156 20 37 0 156 sub(D,div(mlt(D,P),D)) 167109 163907013 o2(x,o2(o2(x,x),x)) true 45279 45279 0 0.5 0.9375 0.9252 0.9619 -1 1 2 1 1.774 0.001323 0 0.01101 1 1 0 0.0002527 0.005079 0.001202 0.03468 3.15 0.1713 0.00143 0.0002731 1 1 0.003342 0.0331 0.2361 0.003612 0.03578 0.2552 json
t20_x37_u0_b157 20 37 0 157 sub(D,div(div(D,P),D)) 167110 163907014 o2(x,o2(o2(x,x),x)) true 45287 45287 -0.125 0.4375 0.3945 0.2348 0.4845 -1 0.9689 1.969 1 4.461 0.01663 0 0.03672 1 1 -2.839e-9 0.03189 0.0272 0.01528 0.1236 3.367 1.969 0.07084 0.1358 1 1 0.022 0.08786 0.256 0.09373 0.3743 1.09 json
t20_x37_u0_b158 20 37 0 158 sub(D,div(pow(D,P),D)) 167111 163907015 o2(x,o2(o2(x,x),x)) true 45295 45295 -0.9444 0.02734 0.9963 0.1026 0.3203 -1 1 2 1 0.2338 0.02213 0 0.01587 1 1 0 0.03634 0.02416 0.02187 0.1479 9.318 2 0.2158 0.3543 1 1 0.03461 0.1424 0.1424 0.3374 1.389 1.389 json
t20_x37_u0_b159 20 37 0 159 sub(D,div(mod(D,P),D)) 167112 163907016 o2(x,o2(o2(x,x),x)) true 45303 45303 -0.9588 0 0.9588 0.00303 0.05504 -1 -0.8546 0.1454 1 1.241 0.0006177 0 0.01566 1 1 -0.0001582 0.0002621 0.01154 0.0003724 0.0193 1.233 0.05567 0.2039 0.08651 1 1 0.001041 0.004552 0.0009114 0.3437 1.502 0.3008 json
t20_x37_u0_b160 20 37 0 160 sub(D,div(lrg(D,P),D)) 167113 163907017 o2(x,o2(o2(x,x),x)) true 45311 45311 -0.08448 0.4375 0.5268 0.4611 0.679 -1 1 2 1 3.185 0.1537 0 0.1386 1 1 0.0001582 0.2553 0.1657 0.1345 0.3667 2.646 2 0.3334 0.5537 1 1 0.1725 0.772 0.1282 0.374 1.674 0.278 json
t20_x37_u0_b161 20 37 0 161 sub(D,div(eql(D,P),D)) 167114 163907018 o2(x,o2(o2(x,x),x)) true 45319 45319 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_x37_u0_b162 20 37 0 162 sub(D,div(min(D,P),D)) 167115 163907019 o2(x,o2(o2(x,x),x)) true 45327 45327 -0.4217 0.2813 0.9282 0.7194 0.8482 -1 1 2 1 2.165 0.2008 0 0.1358 1 1 3.775e-9 0.3665 0.2186 0.1824 0.4271 3.144 2 0.2791 0.5095 1 1 0.2052 0.8554 0.1311 0.2852 1.189 0.1822 json
t20_x37_u0_b163 20 37 0 163 sub(D,div(dot(D,P),D)) 167116 163907020 o2(x,o2(o2(x,x),x)) true 45335 45335 1.062e-9 0.5 0.9436 0.9245 0.9615 -1 1 2 1 1.906 0.3061 0.1005 0.2495 0.5057 1 -3.304e-10 1.139 0.4326 0.3444 0.5869 2.352 2.828 0.4397 1.232 1 1 0.3794 0.9066 0.2743 0.4103 0.9806 0.2967 json
t20_x37_u0_b164 20 37 0 164 sub(D,div(dst(D,P),D)) 167117 163907021 o2(x,o2(o2(x,x),x)) true 45343 45343 -5.821e-11 0.5 0.9818 0.9756 0.9877 -1 1 2 1 1.351 0.4434 0.0001198 0.2462 0.9995 1 9.761e-11 0.8399 0.4552 0.3829 0.6188 2.514 2.001 0.4546 0.8609 1 1 0.4575 1.871 0.03283 0.4689 1.917 0.03365 json
t20_x37_u0_b165 20 37 0 165 sub(D,pow(add(D,P),D)) 167118 163907022 o2(x,o2(o2(x,x),x)) true 45351 45351 -0.9917 0 0.9917 0.001139 0.03375 -1 -0.742 0.258 1 0.3327 0.0002348 0 0.004305 1 1 0.0001905 0.0001887 0.004188 0.0002162 0.0147 3.415 0.1255 0.2062 0.1657 1 1 0.0004647 0.001593 0.001529 0.408 1.399 1.342 json
t20_x37_u0_b166 20 37 0 166 sub(D,pow(sub(D,P),D)) 167119 163907023 o2(x,o2(o2(x,x),x)) true 45359 45359 -0.9994 0 0.9994 0.00001367 0.003698 -1 -0.9667 0.03333 1 0 0.00001475 0 0.0007018 1 0 -5.677e-9 0.00003045 0.001267 0.00001425 0.003775 5.38 0.03333 1.079 2.227 1 1 0.000003515 0.000003515 0.000001645 0.2571 0.2571 0.1203 json
t20_x37_u0_b167 20 37 0 167 sub(D,pow(mlt(D,P),D)) 167120 163907024 o2(x,o2(o2(x,x),x)) true 45367 45367 -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_x37_u0_b168 20 37 0 168 sub(D,pow(div(D,P),D)) 167121 163907025 o2(x,o2(o2(x,x),x)) true 45375 45375 -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_x37_u0_b169 20 37 0 169 sub(D,pow(pow(D,P),D)) 167122 163907026 o2(x,o2(o2(x,x),x)) true 45383 45383 -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_x37_u0_b170 20 37 0 170 sub(D,pow(mod(D,P),D)) 167123 163907027 o2(x,o2(o2(x,x),x)) true 45391 45391 -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_x37_u0_b171 20 37 0 171 sub(D,pow(lrg(D,P),D)) 167124 163907028 o2(x,o2(o2(x,x),x)) true 45399 45399 -0.9794 0 0.9794 0.001943 0.04407 -1 -0.8546 0.1454 1 0.808 0.0002976 0 0.007576 1 1 -0.0001582 0.0001275 0.005629 0.0002401 0.0155 2.045 0.05567 0.1532 0.06561 1 1 0.0004963 0.002048 0.0004557 0.2555 1.054 0.2346 json
t20_x37_u0_b172 20 37 0 172 sub(D,pow(eql(D,P),D)) 167125 163907029 o2(x,o2(o2(x,x),x)) true 45407 45407 -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_x37_u0_b173 20 37 0 173 sub(D,pow(min(D,P),D)) 167126 163907030 o2(x,o2(o2(x,x),x)) true 45415 45415 -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_x37_u0_b174 20 37 0 174 sub(D,pow(dot(D,P),D)) 167127 163907031 o2(x,o2(o2(x,x),x)) true 45423 45423 -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_x37_u0_b175 20 37 0 175 sub(D,pow(dst(D,P),D)) 167128 163907032 o2(x,o2(o2(x,x),x)) true 45431 45431 -0.9926 0 0.9926 0.000606 0.02462 -1 -0.5559 0.4441 1 0.1748 0.0001559 0.000005246 0.005254 0.9349 1 0.0001537 0.0002168 0.006389 0.0001336 0.01156 2.2 0.1612 0.266 0.3578 1 1 0.0002215 0.001083 0.001458 0.3656 1.788 2.406 json
t20_x37_u0_b176 20 37 0 176 sub(D,mod(add(D,P),D)) 167129 163907033 o2(x,o2(o2(x,x),x)) true 45439 45439 1.18e-11 0.5 0.1633 0.04253 0.2062 -0.4632 0.4632 0.9264 1 3.694 0.0119 0 0.08385 1 1 0 0.02524 0.1202 0.004872 0.0698 0.8324 0.3795 0.2798 0.5934 1 1 0.01157 0.0393 0.01318 0.2721 0.924 0.3099 json
t20_x37_u0_b177 20 37 0 177 sub(D,mod(sub(D,P),D)) 167130 163907034 o2(x,o2(o2(x,x),x)) true 45447 45447 6.395e-12 0.5 0.1525 0.03817 0.1954 -0.4418 0.4418 0.8835 1 3.514 0.00995 0 0.07583 1 1 -2.346e-13 0.02109 0.112 0.0042 0.0648 0.8546 0.2806 0.2607 0.5525 1 1 0.009024 0.03584 0.008356 0.2364 0.9389 0.2189 json
t20_x37_u0_b178 20 37 0 178 sub(D,mod(mlt(D,P),D)) 167131 163907035 o2(x,o2(o2(x,x),x)) true 45455 45455 0.006488 0.5156 0.1522 0.03336 0.1827 -0.3508 0.3508 0.7017 1 3.387 0.03806 0 0.1475 1 1 0.0007388 0.08862 0.2668 0.01629 0.1276 0.8651 0.5779 1.141 2.656 1 1 0.03072 0.04799 0.006086 0.9208 1.438 0.1824 json
t20_x37_u0_b179 20 37 0 179 sub(D,mod(div(D,P),D)) 167132 163907036 o2(x,o2(o2(x,x),x)) true 45463 45463 -0.1292 0.4219 0.2111 0.1199 0.3462 -1 0.2631 1.263 1 3.053 0.0114 0 0.04666 1 1 -0.0000369 0.0225 0.04553 0.009219 0.09602 2.058 1.031 0.09507 0.1877 1 1 0.01426 0.05884 0.1716 0.1189 0.4909 1.431 json
t20_x37_u0_b180 20 37 0 180 sub(D,mod(pow(D,P),D)) 167133 163907037 o2(x,o2(o2(x,x),x)) true 45471 45471 -0.9475 0.007813 0.9479 0.04257 0.2063 -1 0.03095 1.031 1 0.514 0.008546 0 0.01233 1 1 -1.419e-9 0.01841 0.02234 0.008393 0.09162 7.431 1.031 0.2007 0.4325 1 1 0.01046 0.03213 0.06107 0.2457 0.7547 1.434 json
t20_x37_u0_b181 20 37 0 181 sub(D,mod(mod(D,P),D)) 167134 163907038 o2(x,o2(o2(x,x),x)) true 45479 45479 -0.125 0.4375 0.2247 0.1255 0.3543 -1 0.2346 1.235 1 3.086 0.04169 0 0.1395 1 1 -4.731e-10 0.09918 0.2645 0.02224 0.1491 1.069 1.031 0.3322 0.7902 1 1 0.03502 0.05756 0.1715 0.279 0.4586 1.367 json
t20_x37_u0_b182 20 37 0 182 sub(D,mod(lrg(D,P),D)) 167135 163907039 o2(x,o2(o2(x,x),x)) true 45487 45487 -0.0784 0.3672 0.1293 0.02076 0.1441 -0.4378 0.1454 0.5832 1 3.149 0.004118 0 0.05146 1 1 0.00001019 0.005574 0.04724 0.001472 0.03837 0.7456 0.2265 0.1983 0.2684 1 1 0.005442 0.0302 0.001928 0.2621 1.455 0.09285 json
t20_x37_u0_b183 20 37 0 183 sub(D,mod(eql(D,P),D)) 167136 163907040 o2(x,o2(o2(x,x),x)) true 45495 45495 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_x37_u0_b184 20 37 0 184 sub(D,mod(min(D,P),D)) 167137 163907041 o2(x,o2(o2(x,x),x)) true 45503 45503 0.07516 0.668 0.1379 0.0246 0.1568 -0.2346 0.4632 0.6978 1 3.304 0.02386 0 0.1137 1 1 0.0003612 0.05678 0.1942 0.01093 0.1046 0.9198 0.4692 0.9699 2.308 1 1 0.01893 0.02826 0.004049 0.7695 1.149 0.1646 json
t20_x37_u0_b185 20 37 0 185 sub(D,mod(dot(D,P),D)) 167138 163907042 o2(x,o2(o2(x,x),x)) true 45511 45511 0.01301 0.5271 0.1156 0.02022 0.1422 -0.4623 0.4899 0.9521 1 3.23 0.01146 0.01012 0.1218 0.06219 1 0.00009635 0.08494 0.2193 0.006726 0.08201 0.6731 0.5778 1.067 4.201 1 1 0.01537 0.04057 0.008964 0.7601 2.007 0.4434 json
t20_x37_u0_b186 20 37 0 186 sub(D,mod(dst(D,P),D)) 167139 163907043 o2(x,o2(o2(x,x),x)) true 45519 45519 -0.1426 0.2414 0.1614 0.02133 0.146 -0.536 0.14 0.6759 1 3.126 0.01041 0.004569 0.1016 0.39 1 0.0002364 0.05306 0.1694 0.004653 0.06821 0.6712 0.6189 0.7024 2.488 1 1 0.0126 0.0428 0.007079 0.5906 2.007 0.332 json
t20_x37_u0_b187 20 37 0 187 sub(D,lrg(add(D,P),D)) 167140 163907044 o2(x,o2(o2(x,x),x)) true 45527 45527 -0.447 0.2695 0.4964 0.2313 0.481 -1 0.1454 1.145 1 3.074 0.001759 0 0.03078 1 1 -0.0001582 0.0003479 0.01481 0.0008115 0.02849 0.9254 0.1713 0.007602 0.001504 1 1 0.003694 0.02927 0.06962 0.01597 0.1265 0.3009 json
t20_x37_u0_b188 20 37 0 188 sub(D,lrg(sub(D,P),D)) 167141 163907045 o2(x,o2(o2(x,x),x)) true 45535 45535 -0.4481 0.25 0.4953 0.224 0.4733 -1 0.1454 1.145 1 3.24 0.001361 0 0.02967 1 1 4.731e-10 0.0002634 0.01318 0.000481 0.02193 0.7392 0.0625 0.006076 0.001176 1 1 0.002745 0.02296 0.06813 0.01225 0.1025 0.3041 json
t20_x37_u0_b189 20 37 0 189 sub(D,lrg(mlt(D,P),D)) 167142 163907046 o2(x,o2(o2(x,x),x)) true 45543 45543 -0.4287 0.2188 0.4581 0.1602 0.4003 -1 0.1454 1.145 1 3.934 0.06116 0 0.1182 1 1 0.0001797 0.1126 0.1256 0.04721 0.2173 1.839 1.031 0.3817 0.7024 1 1 0.06556 0.2452 0.06323 0.4092 1.53 0.3946 json
t20_x37_u0_b190 20 37 0 190 sub(D,lrg(div(D,P),D)) 167143 163907047 o2(x,o2(o2(x,x),x)) true 45551 45551 -0.4533 0.3047 0.4901 0.1971 0.444 -1 0.1454 1.145 1 3.248 0.06727 0 0.1273 1 1 -0.00006835 0.1136 0.1343 0.05108 0.226 1.776 1.031 0.3413 0.5761 1 1 0.0762 0.3332 0.07533 0.3865 1.69 0.3821 json
t20_x37_u0_b191 20 37 0 191 sub(D,lrg(pow(D,P),D)) 167144 163907048 o2(x,o2(o2(x,x),x)) true 45559 45559 -0.747 0.1367 0.7625 0.145 0.3808 -1 0.09672 1.097 1 2.469 0.03422 0 0.07083 1 1 -0.0001582 0.05704 0.07409 0.02921 0.1709 2.413 1.031 0.236 0.3933 1 1 0.04067 0.1766 0.03229 0.2804 1.217 0.2226 json
t20_x37_u0_b192 20 37 0 192 sub(D,lrg(mod(D,P),D)) 167145 163907049 o2(x,o2(o2(x,x),x)) true 45567 45567 -0.0614 0.457 0.1462 0.05374 0.2318 -1 0.1454 1.145 1 3.075 0.002292 0 0.04018 1 1 -9.461e-10 0.0003168 0.0146 0.0006788 0.02605 0.6483 0.1713 0.04265 0.005895 1 1 0.004861 0.04401 0.06323 0.09045 0.819 1.176 json
t20_x37_u0_b193 20 37 0 193 sub(D,lrg(lrg(D,P),D)) 167146 163907050 o2(x,o2(o2(x,x),x)) true 45575 45575 -0.747 0.1367 0.7625 0.145 0.3808 -1 0.09672 1.097 1 2.469 0.03422 0 0.07083 1 1 -0.0001582 0.05704 0.07409 0.02921 0.1709 2.413 1.031 0.236 0.3933 1 1 0.04067 0.1766 0.03229 0.2804 1.217 0.2226 json
t20_x37_u0_b194 20 37 0 194 sub(D,lrg(eql(D,P),D)) 167147 163907051 o2(x,o2(o2(x,x),x)) true 45583 45583 -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_x37_u0_b195 20 37 0 195 sub(D,lrg(min(D,P),D)) 167148 163907052 o2(x,o2(o2(x,x),x)) true 45591 45591 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_x37_u0_b196 20 37 0 196 sub(D,lrg(dot(D,P),D)) 167149 163907053 o2(x,o2(o2(x,x),x)) true 45599 45599 -0.4442 0.128 0.4588 0.1155 0.3398 -1 0.1454 1.145 1 4.138 0.03417 0.03153 0.1461 0.0402 1 -0.000926 0.1985 0.1753 0.04435 0.2106 1.441 1.448 0.5689 1.719 1 1 0.07109 0.2503 0.06569 0.6155 2.168 0.5688 json
t20_x37_u0_b197 20 37 0 197 sub(D,lrg(dst(D,P),D)) 167150 163907054 o2(x,o2(o2(x,x),x)) true 45607 45607 -0.9528 0 0.9528 0.003206 0.05662 -1 -0.5858 0.4142 1 1.334 0.0007385 0.000005458 0.01811 0.9853 1 -0.0001582 0.0004042 0.01346 0.000416 0.0204 1.126 0.4334 0.232 0.1261 1 1 0.001308 0.005541 0.0001134 0.4079 1.728 0.03536 json
t20_x37_u0_b198 20 37 0 198 sub(D,eql(add(D,P),D)) 167151 163907055 o2(x,o2(o2(x,x),x)) true 45615 45615 -0.0614 0.457 0.1462 0.05374 0.2318 -1 0.1454 1.145 1 3.075 0.002292 0 0.04018 1 1 -9.461e-10 0.0003168 0.0146 0.0006788 0.02605 0.6483 0.1713 0.04265 0.005895 1 1 0.004861 0.04401 0.06323 0.09045 0.819 1.176 json
t20_x37_u0_b199 20 37 0 199 sub(D,eql(sub(D,P),D)) 167152 163907056 o2(x,o2(o2(x,x),x)) true 45623 45623 -0.0614 0.457 0.1462 0.05374 0.2318 -1 0.1454 1.145 1 3.075 0.002292 0 0.04018 1 1 -9.461e-10 0.0003168 0.0146 0.0006788 0.02605 0.6483 0.1713 0.04265 0.005895 1 1 0.004861 0.04401 0.06323 0.09045 0.819 1.176 json
t20_x37_u0_b200 20 37 0 200 sub(D,eql(mlt(D,P),D)) 167153 163907057 o2(x,o2(o2(x,x),x)) true 45631 45631 -0.0614 0.457 0.1462 0.05374 0.2318 -1 0.1454 1.145 1 3.075 0.002292 0 0.04018 1 1 -9.461e-10 0.0003168 0.0146 0.0006788 0.02605 0.6483 0.1713 0.04265 0.005895 1 1 0.004861 0.04401 0.06323 0.09045 0.819 1.176 json
t20_x38_u0_b0 20 38 0 0 add(D,add(add(D,P),R)) 167154 163947258 o2(x,o2(o2(x,x),x)) true 45639 45639 0.004181 0.4995 0.9414 0.9221 0.9603 -1 1 2 1 1.945 0.001154 0.0003623 0.01258 0.5221 1 -0.00002046 0.0002298 0.003713 0.001359 0.03687 2.93 0.2253 0.001644 0.0002492 1 1 0.003753 0.04492 0.2697 0.00407 0.04871 0.2925 json
t20_x38_u0_b1 20 38 0 1 add(D,add(sub(D,P),R)) 167155 163947259 o2(x,o2(o2(x,x),x)) true 45647 45647 0.004561 0.4974 0.9367 0.9132 0.9556 -1 1 2 1 2.016 0.002785 0.0003881 0.01784 0.7554 1 -0.00001977 0.0008152 0.00829 0.002856 0.05344 2.996 0.442 0.003474 0.0008926 1 1 0.007775 0.06407 0.2632 0.008514 0.07016 0.2882 json
t20_x38_u0_b2 20 38 0 2 add(D,add(mlt(D,P),R)) 167156 163947260 o2(x,o2(o2(x,x),x)) true 45655 45655 -0.1155 0.416 0.5149 0.3546 0.5955 -1 1 2 1 4.841 0.03149 0.002785 0.1433 0.8375 1 0.001784 0.008215 0.0597 0.01374 0.1172 0.818 0.5999 0.09665 0.02317 1 1 0.0463 0.3797 0.3498 0.1306 1.071 0.9865 json
t20_x38_u0_b3 20 38 0 3 add(D,add(div(D,P),R)) 167157 163947261 o2(x,o2(o2(x,x),x)) true 45663 45663 -0.1045 0.4449 0.4764 0.3184 0.5643 -1 1 2 1 4.767 0.01822 0.002784 0.07561 0.7349 1 0.00007783 0.02799 0.03654 0.01529 0.1237 1.635 2 0.06597 0.08791 1 1 0.03071 0.2204 0.5224 0.09642 0.6922 1.641 json
t20_x38_u0_b4 20 38 0 4 add(D,add(pow(D,P),R)) 167158 163947262 o2(x,o2(o2(x,x),x)) true 45671 45671 -0.8836 0.06221 0.9914 0.2076 0.4556 -1 1 2 1 0.4502 0.02753 0.00004704 0.01645 0.9966 1 -0.000003431 0.05499 0.03049 0.02729 0.1652 10.04 2.001 0.1329 0.2649 1 1 0.03703 0.1554 0.3055 0.1784 0.7486 1.472 json
t20_x38_u0_b5 20 38 0 5 add(D,add(mod(D,P),R)) 167159 163947263 o2(x,o2(o2(x,x),x)) true 45679 45679 -0.1195 0.4396 0.4911 0.3349 0.5787 -1 1 2 1 4.739 0.02149 0.002754 0.09316 0.7728 1 0.00005113 0.02869 0.04592 0.01556 0.1247 1.339 2 0.07238 0.08566 1 1 0.03611 0.252 0.5026 0.1078 0.7524 1.501 json
t20_x38_u0_b6 20 38 0 6 add(D,add(lrg(D,P),R)) 167160 163947264 o2(x,o2(o2(x,x),x)) true 45687 45687 0.3998 0.736 0.6041 0.3177 0.5637 -1 1 2 1 4.315 0.00726 0.002222 0.0613 0.5314 1 0.00008737 0.006729 0.02473 0.005724 0.07566 1.234 1.073 0.02984 0.02118 1 1 0.01733 0.1484 0.2981 0.05453 0.4672 0.9381 json
t20_x38_u0_b7 20 38 0 7 add(D,add(eql(D,P),R)) 167161 163947265 o2(x,o2(o2(x,x),x)) true 45695 45695 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_x38_u0_b8 20 38 0 8 add(D,add(min(D,P),R)) 167162 163947266 o2(x,o2(o2(x,x),x)) true 45703 45703 -0.4848 0.2398 0.6777 0.3503 0.5918 -1 1 2 1 3.628 0.005043 0.001648 0.05383 0.5073 1 0.0002876 0.0008357 0.01678 0.003794 0.0616 1.144 0.3054 0.01911 0.002386 1 1 0.01365 0.1394 0.2931 0.03896 0.398 0.8367 json
t20_x38_u0_b9 20 38 0 9 add(D,add(dot(D,P),R)) 167163 163947267 o2(x,o2(o2(x,x),x)) true 45711 45711 -0.207 0.3711 0.5889 0.4203 0.6483 -1 1 2 1 4.561 0.02736 0.02649 0.181 0.01609 1 0.002734 0.01776 0.08272 0.0211 0.1453 0.8027 0.7333 0.1281 0.04226 1 1 0.07029 0.5225 0.3145 0.1673 1.243 0.7484 json
t20_x38_u0_b10 20 38 0 10 add(D,add(dst(D,P),R)) 167164 163947268 o2(x,o2(o2(x,x),x)) true 45719 45719 0.9987 1 0.9987 0.0005637 0.02374 0.1997 1 0.8003 1 0.05139 0.00005319 0.00003571 0.0006482 0.1966 0 -3.379e-11 0.00005399 0.0005061 0.00008851 0.009408 14.51 0.2585 0.1577 0.09577 1 1 0.0002783 0.001773 0.002011 0.4938 3.145 3.568 json
t20_x38_u0_b11 20 38 0 11 add(D,sub(add(D,P),R)) 167165 163947269 o2(x,o2(o2(x,x),x)) true 45727 45727 -0.004478 0.4996 0.9357 0.9149 0.9565 -1 1 2 1 2.004 0.001197 0.0003847 0.01346 0.5135 1 0.00001952 0.0002346 0.003879 0.001401 0.03743 2.781 0.2304 0.001729 0.0002564 1 1 0.003905 0.04598 0.2631 0.004268 0.05025 0.2876 json
t20_x38_u0_b12 20 38 0 12 add(D,sub(sub(D,P),R)) 167166 163947270 o2(x,o2(o2(x,x),x)) true 45735 45735 -0.003802 0.5026 0.9424 0.9208 0.9596 -1 1 2 1 1.952 0.002751 0.0003618 0.01694 0.7675 1 0.00002072 0.0008352 0.007975 0.002827 0.05317 3.139 0.4208 0.00338 0.0009071 1 1 0.007622 0.06297 0.2692 0.008278 0.06839 0.2923 json
t20_x38_u0_b13 20 38 0 13 add(D,sub(mlt(D,P),R)) 167167 163947271 o2(x,o2(o2(x,x),x)) true 45743 45743 -0.1311 0.4141 0.5229 0.3613 0.6011 -1 1 2 1 4.822 0.03189 0.002763 0.1427 0.8406 1 0.001348 0.008407 0.05963 0.0143 0.1196 0.8384 0.6398 0.09592 0.02327 1 1 0.04682 0.3824 0.3531 0.1296 1.058 0.9774 json
t20_x38_u0_b14 20 38 0 14 add(D,sub(div(D,P),R)) 167168 163947272 o2(x,o2(o2(x,x),x)) true 45751 45751 -0.1146 0.4535 0.4728 0.3104 0.5571 -1 1 2 1 4.773 0.011 0.002785 0.07106 0.5958 1 -0.00001645 0.01431 0.02908 0.008731 0.09344 1.315 1.947 0.04441 0.0461 1 1 0.0232 0.1918 0.5163 0.07474 0.618 1.664 json
t20_x38_u0_b15 20 38 0 15 add(D,sub(pow(D,P),R)) 167169 163947273 o2(x,o2(o2(x,x),x)) true 45759 45759 -0.8807 0.0625 0.9943 0.2163 0.4651 -1 1 2 1 0.4252 0.02902 0.00003452 0.0164 0.9976 1 3.379e-11 0.0581 0.03111 0.02877 0.1696 10.35 2.004 0.1343 0.2686 1 1 0.03837 0.1581 0.3138 0.1774 0.7309 1.451 json
t20_x38_u0_b16 20 38 0 16 add(D,sub(mod(D,P),R)) 167170 163947274 o2(x,o2(o2(x,x),x)) true 45767 45767 -0.1305 0.4385 0.4876 0.3273 0.5721 -1 1 2 1 4.734 0.01444 0.002753 0.0888 0.6798 1 -0.00006841 0.01502 0.03868 0.009307 0.09647 1.086 1.906 0.05253 0.04591 1 1 0.02886 0.2255 0.4961 0.08817 0.689 1.516 json
t20_x38_u0_b17 20 38 0 17 add(D,sub(lrg(D,P),R)) 167171 163947275 o2(x,o2(o2(x,x),x)) true 45775 45775 0.3985 0.7669 0.5847 0.293 0.5413 -1 1 2 1 4.362 0.006813 0.002379 0.06339 0.4824 1 0.00001891 0.00559 0.02396 0.005174 0.07193 1.135 1.075 0.03137 0.01908 1 1 0.01717 0.1528 0.3137 0.0586 0.5215 1.071 json
t20_x38_u0_b18 20 38 0 18 add(D,sub(eql(D,P),R)) 167172 163947276 o2(x,o2(o2(x,x),x)) true 45783 45783 -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_x38_u0_b19 20 38 0 19 add(D,sub(min(D,P),R)) 167173 163947277 o2(x,o2(o2(x,x),x)) true 45791 45791 -0.4714 0.264 0.685 0.3713 0.6094 -1 1 2 1 3.599 0.005187 0.001637 0.05364 0.5202 1 0.0003128 0.000833 0.01659 0.003949 0.06284 1.172 0.2863 0.01838 0.002243 1 1 0.0135 0.1383 0.2827 0.03634 0.3724 0.7612 json
t20_x38_u0_b20 20 38 0 20 add(D,sub(dot(D,P),R)) 167174 163947278 o2(x,o2(o2(x,x),x)) true 45799 45799 -0.2301 0.3529 0.6017 0.4242 0.6513 -1 1 2 1 4.535 0.02743 0.02646 0.1798 0.01803 1 0.002664 0.01806 0.08271 0.02158 0.1469 0.817 0.7964 0.1271 0.04257 1 1 0.07196 0.5364 0.3144 0.1696 1.264 0.7411 json
t20_x38_u0_b21 20 38 0 21 add(D,sub(dst(D,P),R)) 167175 163947279 o2(x,o2(o2(x,x),x)) true 45807 45807 0.995 0.9985 0.9962 0.004223 0.06498 -0.8147 1 1.815 1 0.1257 0.0001702 0.0001407 0.001768 0.09492 1 1.314e-11 0.0001004 0.0009546 0.0003082 0.01755 9.928 0.325 0.07364 0.02377 1 1 0.001025 0.009157 0.01518 0.2427 2.168 3.596 json
t20_x38_u0_b22 20 38 0 22 add(D,mlt(add(D,P),R)) 167176 163947280 o2(x,o2(o2(x,x),x)) true 45815 45815 -0.06181 0.4708 0.724 0.6443 0.8027 -1 1 2 1 3.77 0.01755 0.01957 0.09669 -0.05448 1 -0.00004824 0.0206 0.05145 0.02778 0.1667 1.724 1.467 0.0576 0.03197 1 1 0.05276 0.4568 1.03 0.08188 0.7089 1.599 json
t20_x38_u0_b23 20 38 0 23 add(D,mlt(sub(D,P),R)) 167177 163947281 o2(x,o2(o2(x,x),x)) true 45823 45823 0.06274 0.5319 0.7352 0.655 0.8093 -1 1 2 1 3.751 0.01761 0.01981 0.09814 -0.05871 1 0.0000392 0.02059 0.05192 0.02779 0.1667 1.699 1.457 0.05713 0.03143 1 1 0.05334 0.464 1.06 0.08143 0.7084 1.619 json
t20_x38_u0_b24 20 38 0 24 add(D,mlt(mlt(D,P),R)) 167178 163947282 o2(x,o2(o2(x,x),x)) true 45831 45831 -0.01683 0.4932 0.3308 0.2072 0.4552 -1 1 2 1 4.544 0.0129 0.003518 0.09604 0.5714 1 0.0004215 0.003619 0.03478 0.007194 0.08482 0.8832 0.5997 0.07924 0.01747 1 1 0.02232 0.224 0.2829 0.1077 1.081 1.365 json
t20_x38_u0_b25 20 38 0 25 add(D,mlt(div(D,P),R)) 167179 163947283 o2(x,o2(o2(x,x),x)) true 45839 45839 -0.1218 0.4445 0.2116 0.1216 0.3486 -1 0.3741 1.374 1 3.021 0.009554 0.00002951 0.04037 0.9938 1 0.000002565 0.01612 0.02872 0.007953 0.08918 2.209 1.06 0.07884 0.1327 1 1 0.01359 0.06552 0.1776 0.1118 0.539 1.461 json
t20_x38_u0_b26 20 38 0 26 add(D,mlt(pow(D,P),R)) 167180 163947284 o2(x,o2(o2(x,x),x)) true 45847 45847 -0.9371 0.03169 0.9773 0.09137 0.3023 -1 1 2 1 0.5463 0.01394 0.001173 0.01433 0.8448 1 -0.000003097 0.02924 0.01954 0.0149 0.1221 8.521 2.012 0.1654 0.32 1 1 0.02031 0.09225 0.1786 0.2223 1.01 1.955 json
t20_x38_u0_b27 20 38 0 27 add(D,mlt(mod(D,P),R)) 167181 163947285 o2(x,o2(o2(x,x),x)) true 45855 45855 -0.1226 0.4405 0.2335 0.1321 0.3635 -1 0.5372 1.537 1 3.503 0.01003 0.0001887 0.04575 0.9631 1 -0.00003732 0.01621 0.02976 0.00813 0.09017 1.971 1.06 0.07736 0.1227 1 1 0.01469 0.07675 0.1962 0.1111 0.5809 1.485 json
t20_x38_u0_b28 20 38 0 28 add(D,mlt(lrg(D,P),R)) 167182 163947286 o2(x,o2(o2(x,x),x)) true 45863 45863 0.01649 0.4925 0.2532 0.1244 0.3527 -1 1 2 1 4.317 0.004156 0.001689 0.05759 0.422 1 0.00003056 0.003012 0.02097 0.002531 0.0503 0.8735 0.8912 0.04699 0.02421 1 1 0.01051 0.1009 0.1969 0.08451 0.8111 1.582 json
t20_x38_u0_b29 20 38 0 29 add(D,mlt(eql(D,P),R)) 167183 163947287 o2(x,o2(o2(x,x),x)) true 45871 45871 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_x38_u0_b30 20 38 0 30 add(D,mlt(min(D,P),R)) 167184 163947288 o2(x,o2(o2(x,x),x)) true 45879 45879 -0.03598 0.4761 0.4291 0.3404 0.5835 -1 1 2 1 4.14 0.00929 0.01032 0.06878 -0.05232 1 0.0001202 0.01039 0.03323 0.01487 0.122 1.773 1.303 0.05759 0.03051 1 1 0.02941 0.2454 0.4936 0.08638 0.721 1.45 json
t20_x38_u0_b31 20 38 0 31 add(D,mlt(dot(D,P),R)) 167185 163947289 o2(x,o2(o2(x,x),x)) true 45887 45887 -0.007725 0.4953 0.4945 0.3687 0.6072 -1 1 2 1 4.678 0.01439 0.0143 0.1268 0.003348 1 0.00001237 0.00815 0.0495 0.01261 0.1123 0.8852 0.8205 0.07781 0.0221 1 1 0.03925 0.3946 0.5367 0.1064 1.07 1.456 json
t20_x38_u0_b32 20 38 0 32 add(D,mlt(dst(D,P),R)) 167186 163947290 o2(x,o2(o2(x,x),x)) true 45895 45895 -0.009759 0.4949 0.8626 0.8174 0.9041 -1 1 2 1 2.816 0.02682 0.03033 0.1036 -0.0614 1 0.00006819 0.04302 0.0731 0.04642 0.2155 2.079 1.879 0.06993 0.05263 1 1 0.07889 0.6183 1.381 0.09652 0.7564 1.689 json
t20_x38_u0_b33 20 38 0 33 add(D,div(add(D,P),R)) 167187 163947291 o2(x,o2(o2(x,x),x)) true 45903 45903 -0.04634 0.4754 0.9212 0.8985 0.9479 -1 1 2 1 2.046 0.06545 0.07925 0.1149 -0.09541 1 -0.00003478 0.2863 0.1619 0.1315 0.3626 3.157 2.828 0.161 0.3186 1 1 0.1631 0.834 1.818 0.1816 0.9282 2.023 json
t20_x38_u0_b34 20 38 0 34 add(D,div(sub(D,P),R)) 167188 163947292 o2(x,o2(o2(x,x),x)) true 45911 45911 0.04023 0.5184 0.936 0.9171 0.9576 -1 1 2 1 1.896 0.06568 0.07975 0.1152 -0.09674 1 0.000008156 0.2849 0.1633 0.1321 0.3635 3.155 2.828 0.1586 0.3107 1 1 0.1647 0.8488 1.878 0.1796 0.9256 2.048 json
t20_x38_u0_b35 20 38 0 35 add(D,div(mlt(D,P),R)) 167189 163947293 o2(x,o2(o2(x,x),x)) true 45919 45919 0.002537 0.4956 0.7215 0.6492 0.8057 -1 1 2 1 3.656 0.09298 0.02902 0.1713 0.5243 1 0.00006203 0.1617 0.1578 0.09265 0.3044 1.777 2.828 0.1879 0.2491 1 1 0.1361 0.8545 1.215 0.2096 1.316 1.871 json
t20_x38_u0_b36 20 38 0 36 add(D,div(div(D,P),R)) 167190 163947294 o2(x,o2(o2(x,x),x)) true 45927 45927 -0.1197 0.4362 0.3403 0.2294 0.479 -1 1 2 1 4.082 0.01938 0.002583 0.06997 0.7648 1 -0.00001611 0.0293 0.04528 0.01707 0.1306 1.867 2.039 0.09574 0.1277 1 1 0.03324 0.2114 0.4051 0.1449 0.9212 1.766 json
t20_x38_u0_b37 20 38 0 37 add(D,div(pow(D,P),R)) 167191 163947295 o2(x,o2(o2(x,x),x)) true 45935 45935 -0.934 0.03281 0.9956 0.1217 0.3488 -1 1 2 1 0.3024 0.01872 0.003519 0.0151 0.6835 1 -7.509e-12 0.0414 0.02357 0.02202 0.1484 9.828 2.25 0.1828 0.3403 1 1 0.03356 0.1461 0.2701 0.2758 1.2 2.22 json
t20_x38_u0_b38 20 38 0 38 add(D,div(mod(D,P),R)) 167192 163947296 o2(x,o2(o2(x,x),x)) true 45943 45943 -0.1209 0.4393 0.5558 0.4438 0.6662 -1 1 2 1 4.271 0.03623 0.00852 0.1179 0.6192 1 -0.0001386 0.04636 0.07489 0.03084 0.1756 1.489 2.033 0.1008 0.1045 1 1 0.05826 0.422 0.7806 0.1313 0.951 1.759 json
t20_x38_u0_b39 20 38 0 39 add(D,div(lrg(D,P),R)) 167193 163947297 o2(x,o2(o2(x,x),x)) true 45951 45951 -0.01284 0.4818 0.5131 0.4514 0.6718 -1 1 2 1 3.529 0.01867 0.01726 0.07628 0.03918 1 0.0001464 0.03604 0.05376 0.03013 0.1736 2.275 2.094 0.07962 0.07985 1 1 0.05532 0.3775 0.8971 0.1226 0.8364 1.988 json
t20_x38_u0_b40 20 38 0 40 add(D,div(eql(D,P),R)) 167194 163947298 o2(x,o2(o2(x,x),x)) true 45959 45959 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_x38_u0_b41 20 38 0 41 add(D,div(min(D,P),R)) 167195 163947299 o2(x,o2(o2(x,x),x)) true 45967 45967 0.004943 0.5016 0.7072 0.6422 0.8014 -1 1 2 1 3.557 0.04826 0.04357 0.1171 0.05107 1 0.00004004 0.1623 0.1137 0.07811 0.2795 2.387 2.828 0.143 0.2526 1 1 0.107 0.6263 1.236 0.1666 0.9752 1.925 json
t20_x38_u0_b42 20 38 0 42 add(D,div(dot(D,P),R)) 167196 163947300 o2(x,o2(o2(x,x),x)) true 45975 45975 0.01427 0.5043 0.8528 0.806 0.8978 -1 1 2 1 2.85 0.07912 0.08274 0.1803 -0.0224 1 -0.0001112 0.2827 0.1962 0.1294 0.3598 1.996 2.828 0.2008 0.3507 1 1 0.1962 1.129 1.498 0.2434 1.401 1.858 json
t20_x38_u0_b43 20 38 0 43 add(D,div(dst(D,P),R)) 167197 163947301 o2(x,o2(o2(x,x),x)) true 45983 45983 -0.0648 0.4679 0.9776 0.9661 0.9829 -1 1 2 1 1.415 0.08208 0.09905 0.1169 -0.09369 1 0.000005172 0.3952 0.1954 0.1675 0.4093 3.502 2.828 0.1875 0.4091 1 1 0.1985 0.9427 1.895 0.2055 0.9758 1.962 json
t20_x38_u0_b44 20 38 0 44 add(D,pow(add(D,P),R)) 167198 163947302 o2(x,o2(o2(x,x),x)) true 45991 45991 -0.07978 0.5 0.9202 0.8741 0.9349 -1 1 2 1 2.256 0.01371 0.0006777 0.02372 0.9058 1 0.000009108 0.0257 0.02251 0.01381 0.1175 4.955 2 0.01646 0.0294 1 1 0.01989 0.09578 0.3448 0.02276 0.1096 0.3945 json
t20_x38_u0_b45 20 38 0 45 add(D,pow(sub(D,P),R)) 167199 163947303 o2(x,o2(o2(x,x),x)) true 45999 45999 -0.1832 0.4375 0.9418 0.8776 0.9368 -1 1 2 1 1.989 0.0161 0.0006084 0.0208 0.9272 1 -0.00006369 0.03228 0.02311 0.01627 0.1276 6.132 1.999 0.01904 0.03678 1 1 0.02196 0.09143 0.33 0.02502 0.1042 0.376 json