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_x67_u0_b117 20 67 0 117 add(R,dst(eql(D,D),D)) 173100 165119004 o2(x,o2(o2(x,x),x)) true 93207 93207 0.9935 1 0.9935 0.001124 0.03353 0.6209 1 0.3791 1 0.3055 0.00007492 0.0001009 0.002939 -0.1479 1 -0.00002175 0.0001129 0.002208 0.0001671 0.01293 4.398 0.144 0.1564 0.1004 1 1 0.0002658 0.001456 0.001705 0.2364 1.295 1.516 json
t20_x67_u0_b118 20 67 0 118 add(R,dst(min(D,D),D)) 173101 165119005 o2(x,o2(o2(x,x),x)) true 93215 93215 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_x67_u0_b119 20 67 0 119 add(R,dst(dot(D,D),D)) 173102 165119006 o2(x,o2(o2(x,x),x)) true 93223 93223 0.5386 0.8497 0.624 0.2114 0.4598 -0.9561 1 1.956 1 4.051 0.006371 0.006779 0.0911 -0.03101 1 -0.0008274 0.002447 0.0322 0.004852 0.06965 0.7646 0.2919 0.06221 0.01158 1 1 0.02544 0.2249 0.2926 0.1203 1.064 1.384 json
t20_x67_u0_b120 20 67 0 120 add(R,dst(dst(D,D),D)) 173103 165119007 o2(x,o2(o2(x,x),x)) true 93231 93231 0.4316 0.8003 0.5432 0.2164 0.4652 -0.9541 1 1.954 1 4.419 0.004497 0.004863 0.08004 -0.03911 1 -0.0005922 0.001202 0.02418 0.002953 0.05434 0.6789 0.2559 0.04326 0.005554 1 1 0.01827 0.188 0.3424 0.08445 0.8686 1.582 json
t20_x67_u0_b121 20 67 0 121 sub(R,add(add(D,D),D)) 173104 165119008 o2(x,o2(o2(x,x),x)) true 93239 93239 0.009078 0.5091 0.4461 0.2908 0.5393 -1 1 2 1 4.916 0.0165 0.003043 0.1205 0.6886 1 0.00009198 0.003115 0.04404 0.005035 0.07096 0.5891 0.3648 0.0672 0.01071 1 1 0.03777 0.3215 0.3628 0.1299 1.105 1.247 json
t20_x67_u0_b122 20 67 0 122 sub(R,add(sub(D,D),D)) 173105 165119009 o2(x,o2(o2(x,x),x)) true 93247 93247 0.009165 0.4978 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_x67_u0_b123 20 67 0 123 sub(R,add(mlt(D,D),D)) 173106 165119010 o2(x,o2(o2(x,x),x)) true 93255 93255 -0.1077 0.4094 0.4157 0.233 0.4827 -1 1 2 1 4.881 0.005581 0.003142 0.08036 0.2796 1 0.0002748 0.0008381 0.02293 0.002265 0.0476 0.5923 0.2669 0.03743 0.003596 1 1 0.01702 0.1852 0.3846 0.07303 0.7946 1.651 json
t20_x67_u0_b124 20 67 0 124 sub(R,add(div(D,D),D)) 173107 165119011 o2(x,o2(o2(x,x),x)) true 93263 93263 -0.795 0.004608 0.7953 0.07638 0.2764 -1 0.09531 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_x67_u0_b125 20 67 0 125 sub(R,add(pow(D,D),D)) 173108 165119012 o2(x,o2(o2(x,x),x)) true 93271 93271 -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_x67_u0_b126 20 67 0 126 sub(R,add(mod(D,D),D)) 173109 165119013 o2(x,o2(o2(x,x),x)) true 93279 93279 0.00962 0.5032 0.4284 0.2616 0.5115 -1 1 2 1 4.934 0.0445 0.003125 0.1723 0.8688 1 0.000008696 0.09236 0.2723 0.01794 0.134 0.7775 0.7796 0.1821 0.3531 1 1 0.04908 0.2298 0.3813 0.1876 0.8783 1.457 json
t20_x67_u0_b127 20 67 0 127 sub(R,add(lrg(D,D),D)) 173110 165119014 o2(x,o2(o2(x,x),x)) true 93287 93287 0.009165 0.4978 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_x67_u0_b128 20 67 0 128 sub(R,add(eql(D,D),D)) 173111 165119015 o2(x,o2(o2(x,x),x)) true 93295 93295 -0.795 0.004608 0.7953 0.07638 0.2764 -1 0.09531 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_x67_u0_b129 20 67 0 129 sub(R,add(min(D,D),D)) 173112 165119016 o2(x,o2(o2(x,x),x)) true 93303 93303 0.009539 0.5023 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_x67_u0_b130 20 67 0 130 sub(R,add(dot(D,D),D)) 173113 165119017 o2(x,o2(o2(x,x),x)) true 93311 93311 -0.2232 0.3262 0.452 0.2354 0.4852 -1 1 2 1 4.817 0.005502 0.004353 0.08518 0.1166 1 0.0005061 0.001061 0.0252 0.002598 0.05097 0.5984 0.273 0.04186 0.004505 1 1 0.01917 0.1981 0.3758 0.08144 0.8413 1.596 json
t20_x67_u0_b131 20 67 0 131 sub(R,add(dst(D,D),D)) 173114 165119018 o2(x,o2(o2(x,x),x)) true 93319 93319 0.009165 0.4978 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_x67_u0_b132 20 67 0 132 sub(R,sub(add(D,D),D)) 173115 165119019 o2(x,o2(o2(x,x),x)) true 93327 93327 0.009165 0.4978 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_x67_u0_b133 20 67 0 133 sub(R,sub(sub(D,D),D)) 173116 165119020 o2(x,o2(o2(x,x),x)) true 93335 93335 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_x67_u0_b134 20 67 0 134 sub(R,sub(mlt(D,D),D)) 173117 165119021 o2(x,o2(o2(x,x),x)) true 93343 93343 -0.1078 0.4102 0.4163 0.2349 0.4846 -1 1 2 1 4.883 0.005678 0.003144 0.08111 0.2872 1 0.0002592 0.0008482 0.02315 0.002244 0.04737 0.584 0.2945 0.03757 0.003612 1 1 0.01738 0.1883 0.3857 0.074 0.8016 1.642 json
t20_x67_u0_b135 20 67 0 135 sub(R,sub(div(D,D),D)) 173118 165119022 o2(x,o2(o2(x,x),x)) true 93351 93351 -0.7947 0.003952 0.7949 0.07675 0.277 -1 0.08818 1.088 1 2.748 0.002267 0.001589 0.039 0.1758 1 0.0000559 0.0009536 0.0154 0.002335 0.04832 1.239 0.2738 0.05023 0.01242 1 1 0.007444 0.07061 0.1422 0.09699 0.92 1.853 json
t20_x67_u0_b136 20 67 0 136 sub(R,sub(pow(D,D),D)) 173119 165119023 o2(x,o2(o2(x,x),x)) true 93359 93359 -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_x67_u0_b137 20 67 0 137 sub(R,sub(mod(D,D),D)) 173120 165119024 o2(x,o2(o2(x,x),x)) true 93367 93367 0.009293 0.4984 0.4089 0.237 0.4868 -1 1 2 1 4.91 0.04104 0.003163 0.1713 0.8569 1 0.00002848 0.09476 0.284 0.01486 0.1219 0.7118 0.6709 0.1865 0.3999 1 1 0.04099 0.1703 0.3898 0.173 0.7185 1.645 json
t20_x67_u0_b138 20 67 0 138 sub(R,sub(lrg(D,D),D)) 173121 165119025 o2(x,o2(o2(x,x),x)) true 93375 93375 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_x67_u0_b139 20 67 0 139 sub(R,sub(eql(D,D),D)) 173122 165119026 o2(x,o2(o2(x,x),x)) true 93383 93383 -0.7947 0.003952 0.7949 0.07675 0.277 -1 0.08818 1.088 1 2.748 0.002267 0.001589 0.039 0.1758 1 0.0000559 0.0009536 0.0154 0.002335 0.04832 1.239 0.2738 0.05023 0.01242 1 1 0.007444 0.07061 0.1422 0.09699 0.92 1.853 json
t20_x67_u0_b140 20 67 0 140 sub(R,sub(min(D,D),D)) 173123 165119027 o2(x,o2(o2(x,x),x)) true 93391 93391 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_x67_u0_b141 20 67 0 141 sub(R,sub(dot(D,D),D)) 173124 165119028 o2(x,o2(o2(x,x),x)) true 93399 93399 -0.2231 0.3254 0.4529 0.2369 0.4867 -1 1 2 1 4.815 0.005591 0.004352 0.08563 0.1246 1 0.0004815 0.001075 0.02534 0.00261 0.05109 0.5967 0.2987 0.04197 0.00454 1 1 0.0195 0.2008 0.3769 0.08233 0.8478 1.591 json
t20_x67_u0_b142 20 67 0 142 sub(R,sub(dst(D,D),D)) 173125 165119029 o2(x,o2(o2(x,x),x)) true 93407 93407 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_x67_u0_b143 20 67 0 143 sub(R,mlt(add(D,D),D)) 173126 165119030 o2(x,o2(o2(x,x),x)) true 93415 93415 -0.2221 0.33 0.4545 0.2393 0.4892 -1 0.9781 1.978 1 4.818 0.007583 0.003089 0.08789 0.421 1 0.0005232 0.001211 0.02856 0.002949 0.0543 0.6179 0.2782 0.04459 0.005059 1 1 0.02084 0.2084 0.3754 0.08707 0.8706 1.568 json
t20_x67_u0_b144 20 67 0 144 sub(R,mlt(sub(D,D),D)) 173127 165119031 o2(x,o2(o2(x,x),x)) true 93423 93423 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_x67_u0_b145 20 67 0 145 sub(R,mlt(mlt(D,D),D)) 173128 165119032 o2(x,o2(o2(x,x),x)) true 93431 93431 0.008979 0.4978 0.3949 0.2201 0.4692 -1 0.9809 1.981 1 4.864 0.002913 0.00317 0.0639 -0.04215 1 0.00002651 0.000381 0.01521 0.001999 0.04471 0.6997 0.2475 0.02763 0.001731 1 1 0.01202 0.153 0.3914 0.0546 0.6948 1.778 json
t20_x67_u0_b146 20 67 0 146 sub(R,mlt(div(D,D),D)) 173129 165119033 o2(x,o2(o2(x,x),x)) true 93439 93439 0.009165 0.4978 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_x67_u0_b147 20 67 0 147 sub(R,mlt(pow(D,D),D)) 173130 165119034 o2(x,o2(o2(x,x),x)) true 93447 93447 -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_x67_u0_b148 20 67 0 148 sub(R,mlt(mod(D,D),D)) 173131 165119035 o2(x,o2(o2(x,x),x)) true 93455 93455 -0.02676 0.4685 0.3974 0.2218 0.471 -1 0.9806 1.981 1 4.87 0.004903 0.003169 0.07331 0.2149 1 -0.00004185 0.004816 0.05626 0.002698 0.05194 0.7085 0.3132 0.03639 0.02171 1 1 0.01376 0.1549 0.3912 0.06204 0.6984 1.764 json
t20_x67_u0_b149 20 67 0 149 sub(R,mlt(lrg(D,D),D)) 173132 165119036 o2(x,o2(o2(x,x),x)) true 93463 93463 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_x67_u0_b150 20 67 0 150 sub(R,mlt(eql(D,D),D)) 173133 165119037 o2(x,o2(o2(x,x),x)) true 93471 93471 0.009165 0.4978 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_x67_u0_b151 20 67 0 151 sub(R,mlt(min(D,D),D)) 173134 165119038 o2(x,o2(o2(x,x),x)) true 93479 93479 -0.1089 0.4088 0.4104 0.2254 0.4748 -1 0.9794 1.979 1 4.862 0.004042 0.003157 0.0708 0.1229 1 0.0002733 0.0005583 0.01911 0.002187 0.04676 0.6605 0.2437 0.03193 0.002477 1 1 0.01416 0.1664 0.3883 0.06281 0.7382 1.723 json
t20_x67_u0_b152 20 67 0 152 sub(R,mlt(dot(D,D),D)) 173135 165119039 o2(x,o2(o2(x,x),x)) true 93487 93487 0.008979 0.4976 0.3947 0.2198 0.4688 -1 0.9808 1.981 1 4.863 0.002873 0.003183 0.06381 -0.0513 1 0.00002651 0.0003825 0.0152 0.001985 0.04455 0.6982 0.2474 0.02755 0.00174 1 1 0.01196 0.1525 0.3914 0.05441 0.6936 1.78 json
t20_x67_u0_b153 20 67 0 153 sub(R,mlt(dst(D,D),D)) 173136 165119040 o2(x,o2(o2(x,x),x)) true 93495 93495 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_x67_u0_b154 20 67 0 154 sub(R,div(add(D,D),D)) 173137 165119041 o2(x,o2(o2(x,x),x)) true 93503 93503 -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_x67_u0_b155 20 67 0 155 sub(R,div(sub(D,D),D)) 173138 165119042 o2(x,o2(o2(x,x),x)) true 93511 93511 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_x67_u0_b156 20 67 0 156 sub(R,div(mlt(D,D),D)) 173139 165119043 o2(x,o2(o2(x,x),x)) true 93519 93519 0.009165 0.4978 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_x67_u0_b157 20 67 0 157 sub(R,div(div(D,D),D)) 173140 165119044 o2(x,o2(o2(x,x),x)) true 93527 93527 0.001765 0.5017 0.9134 0.8842 0.9403 -1 1 2 1 2.265 0.3192 0.0003831 0.2465 0.9976 1 0.000001921 0.5223 0.3324 0.2587 0.5086 2.063 2 0.3615 0.5907 1 1 0.3812 1.708 0.03916 0.4311 1.932 0.04429 json
t20_x67_u0_b158 20 67 0 158 sub(R,div(pow(D,D),D)) 173141 165119045 o2(x,o2(o2(x,x),x)) true 93535 93535 -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_x67_u0_b159 20 67 0 159 sub(R,div(mod(D,D),D)) 173142 165119046 o2(x,o2(o2(x,x),x)) true 93543 93543 -0.3276 0.2641 0.5406 0.287 0.5357 -1 0.9806 1.981 1 4.596 0.3807 0.002655 0.4905 0.9861 1 -0.006687 1.266 0.9432 0.1427 0.3778 0.7701 1.033 1.336 4.413 1 1 0.1342 0.2346 0.304 0.4676 0.8175 1.059 json
t20_x67_u0_b160 20 67 0 160 sub(R,div(lrg(D,D),D)) 173143 165119047 o2(x,o2(o2(x,x),x)) true 93551 93551 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_x67_u0_b161 20 67 0 161 sub(R,div(eql(D,D),D)) 173144 165119048 o2(x,o2(o2(x,x),x)) true 93559 93559 0.001765 0.5017 0.9134 0.8842 0.9403 -1 1 2 1 2.265 0.3192 0.0003831 0.2465 0.9976 1 0.000001922 0.5223 0.3324 0.2587 0.5086 2.063 2 0.3615 0.5907 1 1 0.3812 1.708 0.03916 0.4311 1.932 0.04429 json
t20_x67_u0_b162 20 67 0 162 sub(R,div(min(D,D),D)) 173145 165119049 o2(x,o2(o2(x,x),x)) true 93567 93567 -0.7982 0 0.7982 0.07256 0.2694 -1 -0.01936 0.9806 1 2.717 0.001471 0.00159 0.03308 -0.03903 1 0.0000876 0.0006964 0.01237 0.001966 0.04434 1.34 0.223 0.04219 0.009598 1 1 0.005951 0.06127 0.1403 0.08201 0.8444 1.934 json
t20_x67_u0_b163 20 67 0 163 sub(R,div(dot(D,D),D)) 173146 165119050 o2(x,o2(o2(x,x),x)) true 93575 93575 0.006666 0.5024 0.5996 0.4804 0.6931 -1 1 2 1 4.529 0.2117 0.02272 0.2465 0.8061 1 -0.0002008 0.4877 0.2841 0.1736 0.4167 1.69 2.231 0.488 1.015 1 1 0.2489 0.8026 0.2623 0.5182 1.671 0.546 json
t20_x67_u0_b164 20 67 0 164 sub(R,div(dst(D,D),D)) 173147 165119051 o2(x,o2(o2(x,x),x)) true 93583 93583 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_x67_u0_b165 20 67 0 165 sub(R,pow(add(D,D),D)) 173148 165119052 o2(x,o2(o2(x,x),x)) true 93591 93591 -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_x67_u0_b166 20 67 0 166 sub(R,pow(sub(D,D),D)) 173149 165119053 o2(x,o2(o2(x,x),x)) true 93599 93599 -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_x67_u0_b167 20 67 0 167 sub(R,pow(mlt(D,D),D)) 173150 165119054 o2(x,o2(o2(x,x),x)) true 93607 93607 -0.8111 0.04343 0.8225 0.1038 0.3222 -1 0.371 1.371 1 2.421 0.01364 0.001267 0.06619 0.8299 1 -0.00002309 0.008236 0.04873 0.01053 0.1026 1.55 0.4798 0.1435 0.07931 1 1 0.02601 0.1521 0.1296 0.2505 1.464 1.248 json
t20_x67_u0_b168 20 67 0 168 sub(R,pow(div(D,D),D)) 173151 165119055 o2(x,o2(o2(x,x),x)) true 93615 93615 -0.7982 0 0.7982 0.07256 0.2694 -1 -0.01936 0.9806 1 2.717 0.001471 0.00159 0.03308 -0.03903 1 0.0000876 0.0006964 0.01237 0.001966 0.04434 1.34 0.223 0.04219 0.009598 1 1 0.005951 0.06127 0.1403 0.08201 0.8444 1.934 json
t20_x67_u0_b169 20 67 0 169 sub(R,pow(pow(D,D),D)) 173152 165119056 o2(x,o2(o2(x,x),x)) true 93623 93623 -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_x67_u0_b170 20 67 0 170 sub(R,pow(mod(D,D),D)) 173153 165119057 o2(x,o2(o2(x,x),x)) true 93631 93631 -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_x67_u0_b171 20 67 0 171 sub(R,pow(lrg(D,D),D)) 173154 165119058 o2(x,o2(o2(x,x),x)) true 93639 93639 -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_x67_u0_b172 20 67 0 172 sub(R,pow(eql(D,D),D)) 173155 165119059 o2(x,o2(o2(x,x),x)) true 93647 93647 -0.7982 0 0.7982 0.07256 0.2694 -1 -0.01936 0.9806 1 2.717 0.001471 0.00159 0.03308 -0.03903 1 0.0000876 0.0006964 0.01237 0.001966 0.04434 1.34 0.223 0.04219 0.009598 1 1 0.005951 0.06127 0.1403 0.08201 0.8444 1.934 json
t20_x67_u0_b173 20 67 0 173 sub(R,pow(min(D,D),D)) 173156 165119060 o2(x,o2(o2(x,x),x)) true 93655 93655 -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_x67_u0_b174 20 67 0 174 sub(R,pow(dot(D,D),D)) 173157 165119061 o2(x,o2(o2(x,x),x)) true 93663 93663 -0.8153 0.02692 0.8217 0.08773 0.2962 -1 0.3676 1.368 1 2.546 0.007613 0.001775 0.05762 0.6218 1 0.00005332 0.003649 0.03166 0.00607 0.07791 1.352 0.4004 0.107 0.04159 1 1 0.01727 0.1191 0.1289 0.1968 1.357 1.47 json
t20_x67_u0_b175 20 67 0 175 sub(R,pow(dst(D,D),D)) 173158 165119062 o2(x,o2(o2(x,x),x)) true 93671 93671 -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_x67_u0_b176 20 67 0 176 sub(R,mod(add(D,D),D)) 173159 165119063 o2(x,o2(o2(x,x),x)) true 93679 93679 0.009489 0.5004 0.4128 0.2406 0.4905 -1 1 2 1 4.917 0.04146 0.003156 0.1687 0.8585 1 0.00002643 0.09402 0.2805 0.01615 0.1271 0.7533 0.7252 0.1854 0.3908 1 1 0.04215 0.18 0.3881 0.1752 0.748 1.613 json
t20_x67_u0_b177 20 67 0 177 sub(R,mod(sub(D,D),D)) 173160 165119064 o2(x,o2(o2(x,x),x)) true 93687 93687 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_x67_u0_b178 20 67 0 178 sub(R,mod(mlt(D,D),D)) 173161 165119065 o2(x,o2(o2(x,x),x)) true 93695 93695 -0.1089 0.4088 0.4104 0.2254 0.4748 -1 0.9794 1.979 1 4.862 0.004042 0.003157 0.0708 0.1229 1 0.0002733 0.0005583 0.01911 0.002187 0.04676 0.6605 0.2437 0.03193 0.002477 1 1 0.01416 0.1664 0.3883 0.06281 0.7382 1.723 json
t20_x67_u0_b179 20 67 0 179 sub(R,mod(div(D,D),D)) 173162 165119066 o2(x,o2(o2(x,x),x)) true 93703 93703 -0.1455 0.3853 0.4185 0.2262 0.4756 -1 0.9806 1.981 1 4.846 0.007096 0.003144 0.08439 0.3859 1 0.00005735 0.008563 0.07158 0.003118 0.05584 0.6617 0.316 0.04526 0.03785 1 1 0.01626 0.17 0.3855 0.07188 0.7512 1.704 json
t20_x67_u0_b180 20 67 0 180 sub(R,mod(pow(D,D),D)) 173163 165119067 o2(x,o2(o2(x,x),x)) true 93711 93711 -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_x67_u0_b181 20 67 0 181 sub(R,mod(mod(D,D),D)) 173164 165119068 o2(x,o2(o2(x,x),x)) true 93719 93719 0.009489 0.5004 0.4128 0.2406 0.4905 -1 1 2 1 4.917 0.04146 0.003156 0.1687 0.8585 1 0.00002643 0.09402 0.2805 0.01615 0.1271 0.7533 0.7252 0.1854 0.3908 1 1 0.04215 0.18 0.3881 0.1752 0.748 1.613 json
t20_x67_u0_b182 20 67 0 182 sub(R,mod(lrg(D,D),D)) 173165 165119069 o2(x,o2(o2(x,x),x)) true 93727 93727 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_x67_u0_b183 20 67 0 183 sub(R,mod(eql(D,D),D)) 173166 165119070 o2(x,o2(o2(x,x),x)) true 93735 93735 -0.1455 0.3853 0.4185 0.2262 0.4756 -1 0.9806 1.981 1 4.846 0.007096 0.003144 0.08439 0.3859 1 0.00005735 0.008563 0.07158 0.003118 0.05584 0.6617 0.316 0.04526 0.03785 1 1 0.01626 0.17 0.3855 0.07188 0.7512 1.704 json
t20_x67_u0_b184 20 67 0 184 sub(R,mod(min(D,D),D)) 173167 165119071 o2(x,o2(o2(x,x),x)) true 93743 93743 0.009489 0.5004 0.4128 0.2406 0.4905 -1 1 2 1 4.917 0.04146 0.003156 0.1687 0.8585 1 0.00002643 0.09402 0.2805 0.01615 0.1271 0.7533 0.7252 0.1854 0.3908 1 1 0.04215 0.18 0.3881 0.1752 0.748 1.613 json
t20_x67_u0_b185 20 67 0 185 sub(R,mod(dot(D,D),D)) 173168 165119072 o2(x,o2(o2(x,x),x)) true 93751 93751 -0.1462 0.3833 0.4201 0.2269 0.4764 -1 0.9784 1.978 1 4.847 0.005576 0.004978 0.08268 0.05665 1 0.0004763 0.01435 0.07135 0.003719 0.06098 0.7376 0.4505 0.04651 0.06325 1 1 0.01685 0.1706 0.3862 0.07424 0.7519 1.702 json
t20_x67_u0_b186 20 67 0 186 sub(R,mod(dst(D,D),D)) 173169 165119073 o2(x,o2(o2(x,x),x)) true 93759 93759 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_x67_u0_b187 20 67 0 187 sub(R,lrg(add(D,D),D)) 173170 165119074 o2(x,o2(o2(x,x),x)) true 93767 93767 -0.4226 0.1991 0.5655 0.2483 0.4983 -1 0.9802 1.98 1 4.396 0.04752 0.002554 0.1144 0.898 1 0.00008838 0.08409 0.1105 0.03699 0.1923 1.682 1.023 0.2016 0.3386 1 1 0.05828 0.2809 0.2873 0.2347 1.131 1.157 json
t20_x67_u0_b188 20 67 0 188 sub(R,lrg(sub(D,D),D)) 173171 165119075 o2(x,o2(o2(x,x),x)) true 93775 93775 -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_x67_u0_b189 20 67 0 189 sub(R,lrg(mlt(D,D),D)) 173172 165119076 o2(x,o2(o2(x,x),x)) true 93783 93783 -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_x67_u0_b190 20 67 0 190 sub(R,lrg(div(D,D),D)) 173173 165119077 o2(x,o2(o2(x,x),x)) true 93791 93791 -0.7982 0 0.7982 0.07256 0.2694 -1 -0.01936 0.9806 1 2.717 0.001471 0.00159 0.03308 -0.03903 1 0.0000876 0.0006964 0.01237 0.001966 0.04434 1.34 0.223 0.04219 0.009598 1 1 0.005951 0.06127 0.1403 0.08201 0.8444 1.934 json
t20_x67_u0_b191 20 67 0 191 sub(R,lrg(pow(D,D),D)) 173174 165119078 o2(x,o2(o2(x,x),x)) true 93799 93799 -0.7982 0 0.7982 0.07256 0.2694 -1 -0.01936 0.9806 1 2.717 0.001471 0.00159 0.03308 -0.03903 1 0.0000876 0.0006964 0.01237 0.001966 0.04434 1.34 0.223 0.04219 0.009598 1 1 0.005951 0.06127 0.1403 0.08201 0.8444 1.934 json
t20_x67_u0_b192 20 67 0 192 sub(R,lrg(mod(D,D),D)) 173175 165119079 o2(x,o2(o2(x,x),x)) true 93807 93807 -0.2525 0.3181 0.4932 0.2759 0.5253 -1 0.9804 1.98 1 4.716 0.2515 0.002799 0.3552 0.978 1 0.003276 0.8258 0.6275 0.1282 0.358 1.008 1.029 0.9216 2.993 1 1 0.09205 0.2251 0.3312 0.3336 0.8157 1.2 json
t20_x67_u0_b193 20 67 0 193 sub(R,lrg(lrg(D,D),D)) 173176 165119080 o2(x,o2(o2(x,x),x)) true 93815 93815 -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_x67_u0_b194 20 67 0 194 sub(R,lrg(eql(D,D),D)) 173177 165119081 o2(x,o2(o2(x,x),x)) true 93823 93823 -0.7982 0 0.7982 0.07256 0.2694 -1 -0.01936 0.9806 1 2.717 0.001471 0.00159 0.03308 -0.03903 1 0.0000876 0.0006964 0.01237 0.001966 0.04434 1.34 0.223 0.04219 0.009598 1 1 0.005951 0.06127 0.1403 0.08201 0.8444 1.934 json
t20_x67_u0_b195 20 67 0 195 sub(R,lrg(min(D,D),D)) 173178 165119082 o2(x,o2(o2(x,x),x)) true 93831 93831 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_x67_u0_b196 20 67 0 196 sub(R,lrg(dot(D,D),D)) 173179 165119083 o2(x,o2(o2(x,x),x)) true 93839 93839 -0.5397 0.132 0.6319 0.2132 0.4618 -1 0.9801 1.98 1 4.049 0.03274 0.01926 0.1159 0.2592 1 -0.0001644 0.1355 0.1376 0.03858 0.1964 1.695 1.394 0.2439 0.6355 1 1 0.06066 0.2694 0.26 0.2845 1.263 1.219 json
t20_x67_u0_b197 20 67 0 197 sub(R,lrg(dst(D,D),D)) 173180 165119084 o2(x,o2(o2(x,x),x)) true 93847 93847 -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_x67_u0_b198 20 67 0 198 sub(R,eql(add(D,D),D)) 173181 165119085 o2(x,o2(o2(x,x),x)) true 93855 93855 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_x67_u0_b199 20 67 0 199 sub(R,eql(sub(D,D),D)) 173182 165119086 o2(x,o2(o2(x,x),x)) true 93863 93863 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_x67_u0_b200 20 67 0 200 sub(R,eql(mlt(D,D),D)) 173183 165119087 o2(x,o2(o2(x,x),x)) true 93871 93871 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_x68_u0_b0 20 68 0 0 add(R,add(add(D,D),R)) 173184 165159288 o2(x,o2(o2(x,x),x)) true 93879 93879 0.01364 0.4986 0.6596 0.5488 0.7408 -1 1 2 1 4.376 0.01265 0.00955 0.1069 0.1397 1 0.00002705 0.00462 0.0369 0.01077 0.1038 0.971 0.5689 0.04046 0.008419 1 1 0.04317 0.4419 0.951 0.07867 0.8054 1.733 json
t20_x68_u0_b1 20 68 0 1 add(R,add(sub(D,D),R)) 173185 165159289 o2(x,o2(o2(x,x),x)) true 93887 93887 0.01372 0.4984 0.659 0.5457 0.7387 -1 1 2 1 4.408 0.008726 0.009756 0.09338 -0.05568 1 0.00002908 0.003164 0.02873 0.009763 0.09881 1.058 0.4602 0.03387 0.005798 1 1 0.03624 0.4079 0.9797 0.06641 0.7475 1.795 json
t20_x68_u0_b2 20 68 0 2 add(R,add(mlt(D,D),R)) 173186 165159290 o2(x,o2(o2(x,x),x)) true 93895 93895 0.09828 0.5435 0.6599 0.5397 0.7346 -1 1 2 1 4.36 0.009624 0.009605 0.09534 0.0009729 1 -0.000133 0.003432 0.03096 0.01014 0.1007 1.056 0.4666 0.03563 0.00636 1 1 0.03755 0.4123 0.95 0.06959 0.764 1.76 json
t20_x68_u0_b3 20 68 0 3 add(R,add(div(D,D),R)) 173187 165159291 o2(x,o2(o2(x,x),x)) true 93903 93903 0.6143 0.8457 0.7403 0.2767 0.526 -0.9977 1 1.998 1 3.302 0.00496 0.005854 0.06068 -0.08261 1 -0.0001222 0.002674 0.02409 0.007134 0.08446 1.392 0.4459 0.03909 0.009665 1 1 0.01988 0.2027 0.452 0.07186 0.7327 1.634 json
t20_x68_u0_b4 20 68 0 4 add(R,add(pow(D,D),R)) 173188 165159292 o2(x,o2(o2(x,x),x)) true 93911 93911 -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_x68_u0_b5 20 68 0 5 add(R,add(mod(D,D),R)) 173189 165159293 o2(x,o2(o2(x,x),x)) true 93919 93919 0.01312 0.5 0.6622 0.5505 0.742 -1 1 2 1 4.388 0.0356 0.009646 0.1479 0.5736 1 0.00002025 0.06901 0.2016 0.02337 0.1529 1.034 0.9837 0.08218 0.1253 1 1 0.05756 0.4228 0.9652 0.1046 0.768 1.753 json
t20_x68_u0_b6 20 68 0 6 add(R,add(lrg(D,D),R)) 173190 165159294 o2(x,o2(o2(x,x),x)) true 93927 93927 0.01372 0.4984 0.659 0.5457 0.7387 -1 1 2 1 4.408 0.008726 0.009756 0.09338 -0.05568 1 0.00002908 0.003164 0.02873 0.009763 0.09881 1.058 0.4602 0.03387 0.005798 1 1 0.03624 0.4079 0.9797 0.06641 0.7475 1.795 json
t20_x68_u0_b7 20 68 0 7 add(R,add(eql(D,D),R)) 173191 165159295 o2(x,o2(o2(x,x),x)) true 93935 93935 0.6143 0.8457 0.7403 0.2767 0.526 -0.9977 1 1.998 1 3.302 0.00496 0.005854 0.06068 -0.08261 1 -0.0001222 0.002674 0.02409 0.007134 0.08446 1.392 0.4459 0.03909 0.009665 1 1 0.01988 0.2027 0.452 0.07186 0.7327 1.634 json
t20_x68_u0_b8 20 68 0 8 add(R,add(min(D,D),R)) 173192 165159296 o2(x,o2(o2(x,x),x)) true 93943 93943 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_x68_u0_b9 20 68 0 9 add(R,add(dot(D,D),R)) 173193 165159297 o2(x,o2(o2(x,x),x)) true 93951 93951 0.1813 0.5905 0.6668 0.527 0.726 -1 1 2 1 4.271 0.00944 0.01052 0.09639 -0.05401 1 -0.0002815 0.003744 0.03252 0.01067 0.1033 1.071 0.4667 0.03787 0.007104 1 1 0.03895 0.4159 0.9046 0.0739 0.789 1.716 json
t20_x68_u0_b10 20 68 0 10 add(R,add(dst(D,D),R)) 173194 165159298 o2(x,o2(o2(x,x),x)) true 93959 93959 0.01372 0.4984 0.659 0.5457 0.7387 -1 1 2 1 4.408 0.008726 0.009756 0.09338 -0.05568 1 0.00002908 0.003164 0.02873 0.009763 0.09881 1.058 0.4602 0.03387 0.005798 1 1 0.03624 0.4079 0.9797 0.06641 0.7475 1.795 json
t20_x68_u0_b11 20 68 0 11 add(R,sub(add(D,D),R)) 173195 165159299 o2(x,o2(o2(x,x),x)) true 93967 93967 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_x68_u0_b12 20 68 0 12 add(R,sub(sub(D,D),R)) 173196 165159300 o2(x,o2(o2(x,x),x)) true 93975 93975 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_x68_u0_b13 20 68 0 13 add(R,sub(mlt(D,D),R)) 173197 165159301 o2(x,o2(o2(x,x),x)) true 93983 93983 0.1191 1 0.1191 0.008061 0.08978 0.001249 0.2473 0.2461 1 1.811 0.001249 0 0.03102 1 1 -0.0002405 0.0001931 0.01268 0.000287 0.01694 0.5461 0.05089 0.155 0.02396 1 1 0.002392 0.01594 0 0.2968 1.978 0 json
t20_x68_u0_b14 20 68 0 14 add(R,sub(div(D,D),R)) 173198 165159302 o2(x,o2(o2(x,x),x)) true 93991 93991 1 1 1 1.776e-15 4.215e-8 1 1 5.96e-8 1 0 2.213e-15 0 3.713e-8 0.002213 0 8.893e-8 2.12e-14 8.893e-8 8.346e-16 2.889e-8 0.778 5.96e-8 0.002213 0.0212 0 1 8.882e-16 8.788e-16 0 0.0008882 0.0008788 0 json
t20_x68_u0_b15 20 68 0 15 add(R,sub(pow(D,D),R)) 173199 165159303 o2(x,o2(o2(x,x),x)) true 93999 93999 -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