HairBSDF, Mp, lower

Time bar (total: 2.3s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze329.0ms (14.2%)

Memory
3.5MiB live, 122.9MiB 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)

sample59.0ms (2.5%)

Memory
0.3MiB live, 23.9MiB allocated
Samples
43.0ms260×0valid
1.0ms0invalid
Precisions
Click to see histograms. Total time spent on operations: 36.0ms
const: 9.0ms (25.2% of total)
ival-div: 7.0ms (19.6% of total)
ival-<=: 5.0ms (14% of total)
ival-mult: 4.0ms (11.2% of total)
ival-log: 3.0ms (8.4% of total)
ival-exp: 2.0ms (5.6% of total)
ival-add: 2.0ms (5.6% of total)
ival-sub: 2.0ms (5.6% 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 (75.7%)

Memory
8.8MiB live, 1 385.6MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
966(1.0976727339138078e-24 -1.0600332520059054e-15 -1.9194551961797404e-39 1.0859751541569487e-21 4.7388717380742376e-17)19(-5.5103503390501894e-17 7.49920783463017e-30 1.1436086566618542e-7 8.143772461943755e-11 9.255492727788805e-7)(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
907(0.0380905345082283 4.705652826418598e-17 3.649522588611619e-24 8.0790478965148e-16 4.402126426809647e-32)16(1.309081366569021e-37 -3.3150220509621614e-18 -5.747910881850076e-36 2.5995092300945544e-7 0.005996674299240112)(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
10-1(2.583784980285817e-19 4.021977705297032e-38 4.1186772417080297e-13 -2.326013303247074e-20 0.01383194699883461)(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)))))
10-0-(log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))
00-0-(/.f32 #s(literal 1 binary32) v)
01(-3.1734665420356903e-38 -4.121515083190391e-17 4.6380204353955793e-20 -2.085297120802227e-31 5.086906804687163e-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-#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/n180
(*.f32 cosTheta_i cosTheta_O)underflow132
/.f32(/.f32 (*.f32 sinTheta_i sinTheta_O) v)u/n170
(*.f32 sinTheta_i sinTheta_O)underflow126
/.f32(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))n/u10
(*.f32 #s(literal 2 binary32) v)underflow2
log.f32(log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))oflow-rescue10
(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))overflow1
Confusion
Predicted +Predicted -
+12
-36217
Precision
0.02702702702702703
Recall
0.3333333333333333
Confusion?
Predicted +Predicted MaybePredicted -
+111
-361216
Precision?
0.05128205128205128
Recall?
0.6666666666666666
2:
4:
8:
16:
32:
64:
128:
256:
512:
1024:
2048:
Freqs
test
numberfreq
0219
137
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Total Time
12.642822265625
Average Time
0.049386024475097656
Samples
395.0ms3 072×0valid
Compiler

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

Precisions
Click to see histograms. Total time spent on operations: 272.0ms
ival-div: 75.0ms (27.6% of total)
ival-mult: 52.0ms (19.1% of total)
const: 40.0ms (14.7% of total)
ival-log: 30.0ms (11% of total)
ival-add: 25.0ms (9.2% of total)
ival-sub: 23.0ms (8.5% of total)
ival-exp: 20.0ms (7.4% 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)

preprocess137.0ms (5.9%)

Memory
-0.7MiB 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
99.4%
(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)

simplify31.0ms (1.4%)

Memory
-9.7MiB 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
4.3MiB 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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