HairBSDF, Mp, lower

Time bar (total: 2.3s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze332.0ms (14.2%)

Memory
4.2MiB live, 123.7MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%3%97%0%0%0%0
0%0%3%97%0%0%0%1
0%0%3%97%0%0%0%2
0%0%3%97%0%0%0%3
0%0%3%97%0%0%0%4
0%0%3%97%0%0%0%5
0%0%1.5%97%0%1.5%0%6
0%0%1.5%97%0%1.5%0%7
0%0%1.5%97%0%1.5%0%8
0%0%1.5%97%0%1.5%0%9
0%0%1.5%97%0%1.5%0%10
0%0%1.5%97%0%1.5%0%11
0%0%1.5%97%0%1.5%0%12
Compiler

Compiled 65 to 44 computations (32.3% saved)

sample60.0ms (2.6%)

Memory
0.3MiB live, 23.9MiB allocated
Samples
44.0ms260×0valid
1.0ms0invalid
Precisions
Click to see histograms. Total time spent on operations: 36.0ms
const: 9.0ms (24.9% of total)
ival-div: 6.0ms (16.6% of total)
ival-<=: 6.0ms (16.6% of total)
ival-mult: 4.0ms (11.1% of total)
ival-log: 3.0ms (8.3% of total)
ival-exp: 2.0ms (5.5% of total)
ival-add: 2.0ms (5.5% of total)
ival-sub: 2.0ms (5.5% of total)
ival-and: 1.0ms (2.8% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
Bogosity

explain1.8s (75.9%)

Memory
11.0MiB live, 1 380.1MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
9512(-0.01933051273226738 2.800429736496648e-37 -0.003276692470535636 -1.685860895328517e-10 2.991868269595713e-17)13(-9.291687818291067e-40 1.233057963866786e-14 2.1149783770976543e-15 6.444898746958416e-18 3.7779919167049703e-13)(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
9410(-2.5210448363489304e-23 4.065297903527817e-17 -4.473848920751481e-32 -2.1777250935883785e-7 1.2208741231703441e-18)18(1.2282818517043813e-26 2.684606382411924e-14 4.713658306856666e-15 1.7248977672071032e-35 2.2067679239512472e-8)(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
20-2(-1.1472254895193712e-14 -9.770224096428137e-7 -2.0761093765031546e-5 -0.025362610816955566 0.017909284681081772)(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
00-0-(/.f32 #s(literal 1 binary32) v)
02(-2.8634949670472812e-18 -2.1463687716050117e-8 -9.663641400035682e-17 -2.6275198287290857e-19 4.266939810884425e-39)0-(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))
00-0-#s(literal 2 binary32)
00-0-(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))
00-0-sinTheta_i
00-0-v
00-0-cosTheta_i
00-0-(+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))
00-0-sinTheta_O
00-0-(*.f32 #s(literal 2 binary32) v)
00-0-(*.f32 sinTheta_i sinTheta_O)
00-0-(log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))
00-0-#s(literal 1 binary32)
00-0-(*.f32 cosTheta_i cosTheta_O)
00-0-#s(literal 6931/10000 binary32)
00-0-(-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
00-0-(-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v))
00-0-cosTheta_O
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f32(/.f32 (*.f32 cosTheta_i cosTheta_O) v)u/n220
(*.f32 cosTheta_i cosTheta_O)underflow130
/.f32(/.f32 (*.f32 sinTheta_i sinTheta_O) v)u/n140
(*.f32 sinTheta_i sinTheta_O)underflow130
/.f32(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))n/u20
(*.f32 #s(literal 2 binary32) v)underflow2
Confusion
Predicted +Predicted -
+04
-38214
Precision
0.0
Recall
0.0
Confusion?
Predicted +Predicted MaybePredicted -
+040
-384210
Precision?
0.08695652173913043
Recall?
1.0
2:
4:
8:
16:
32:
64:
128:
256:
512:
1024:
2048:
Freqs
test
numberfreq
0218
138
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Total Time
13.33740234375
Average Time
0.05209922790527344
Samples
394.0ms3 072×0valid
Compiler

Compiled 5 112 to 1 032 computations (79.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 273.0ms
ival-div: 76.0ms (27.9% of total)
ival-mult: 51.0ms (18.7% of total)
const: 39.0ms (14.3% of total)
ival-log: 32.0ms (11.7% of total)
ival-add: 25.0ms (9.2% of total)
ival-sub: 23.0ms (8.4% of total)
ival-exp: 21.0ms (7.7% of total)
exact: 3.0ms (1.1% of total)
ival-true: 2.0ms (0.7% of total)
ival-assert: 1.0ms (0.4% of total)

preprocess134.0ms (5.8%)

Memory
-8.6MiB live, 34.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0159481
1462447
21368440
34990440
02125
03423
16322
215122
347122
4171722
5504722
0813419
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
Outputs
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (fma.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v) (fma.f32 (/.f32 cosTheta_O v) cosTheta_i #s(literal 6931/10000 binary32)))))
Symmetry

(sort cosTheta_i cosTheta_O)

(sort sinTheta_i sinTheta_O)

Compiler

Compiled 25 to 21 computations (16% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 5 computations (-∞% saved)

prune1.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
Compiler

Compiled 50 to 42 computations (16% saved)

simplify29.0ms (1.2%)

Memory
-1.3MiB live, 18.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02125
13325
24725
36325
47725
510625
614825
715225
Stop Event
saturated
Calls
Call 1
Inputs
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
Outputs
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
(exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 #s(literal 1 binary32) v)))))

soundness0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Stop Event
fuel
Compiler

Compiled 25 to 21 computations (16% saved)

preprocess6.0ms (0.2%)

Memory
-3.6MiB live, 4.3MiB allocated
Remove

(sort sinTheta_i sinTheta_O)

(sort cosTheta_i cosTheta_O)

Compiler

Compiled 300 to 252 computations (16% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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