HairBSDF, gamma for a refracted ray

Time bar (total: 1.8s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze199.0ms (11.2%)

Memory
3.9MiB live, 84.0MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%6.3%93.7%0%0%0%0
0%0%6.3%93.7%0%0%0%1
0%0%6.3%93.7%0%0%0%2
0%0%6.3%93.7%0%0%0%3
0%0%6.3%93.7%0%0%0%4
0%0%6.3%93.7%0%0%0%5
12.5%0.8%5.5%93.7%0%0%0%6
12.5%0.8%5.5%93.7%0%0%0%7
16.7%1%4.9%93.7%0%0.4%0%8
23.7%1.4%4.4%93.7%0%0.5%0%9
26.2%1.4%3.9%93.7%0%1%0%10
33.9%1.5%3%93.7%0%1.8%0%11
38.9%1.7%2.7%93.7%0%1.9%0%12
Compiler

Compiled 42 to 28 computations (33.3% saved)

sample66.0ms (3.7%)

Memory
-0.1MiB live, 29.6MiB allocated
Samples
23.0ms260×0valid
22.0ms256×0invalid
Precisions
Click to see histograms. Total time spent on operations: 32.0ms
ival-mult: 6.0ms (18.6% of total)
ival-<=: 6.0ms (18.6% of total)
ival-div: 5.0ms (15.5% of total)
ival-sqrt: 5.0ms (15.5% of total)
ival-sub: 4.0ms (12.4% of total)
ival-asin: 3.0ms (9.3% of total)
ival-and: 2.0ms (6.2% of total)
exact: 1.0ms (3.1% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
Bogosity

explain1.2s (65.6%)

Memory
2.4MiB live, 919.8MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
295(6.103547016559209e-27 8.254342717240947e-25 4.2114627805475897e-20)0-(sqrt.f32 (-.f32 (*.f32 eta eta) (/.f32 (*.f32 sinTheta_O sinTheta_O) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_O))))))
00-0-eta
00-0-#s(literal 1 binary32)
00-0-(-.f32 (*.f32 eta eta) (/.f32 (*.f32 sinTheta_O sinTheta_O) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_O)))))
00-0-(/.f32 (*.f32 sinTheta_O sinTheta_O) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_O))))
00-0-(-.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_O))
00-0-(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_O)))
00-0-(/.f32 h (sqrt.f32 (-.f32 (*.f32 eta eta) (/.f32 (*.f32 sinTheta_O sinTheta_O) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_O)))))))
00-0-(*.f32 eta eta)
00-0-(*.f32 sinTheta_O sinTheta_O)
00-0-(asin.f32 (/.f32 h (sqrt.f32 (-.f32 (*.f32 eta eta) (/.f32 (*.f32 sinTheta_O sinTheta_O) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_O))))))))
00-0-sinTheta_O
00-0-h
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
sqrt.f32(sqrt.f32 (-.f32 (*.f32 eta eta) (/.f32 (*.f32 sinTheta_O sinTheta_O) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_O))))))uflow-rescue340
↳(*.f32 sinTheta_O sinTheta_O)underflow374
↳(-.f32 (*.f32 eta eta) (/.f32 (*.f32 sinTheta_O sinTheta_O) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_O)))))underflow34
↳(/.f32 (*.f32 sinTheta_O sinTheta_O) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_O))))underflow187
↳(*.f32 eta eta)underflow34
Confusion
Predicted +Predicted -
+280
-6222
Precision
0.8235294117647058
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+2800
-60222
Precision?
0.8235294117647058
Recall?
1.0
2:
4:
8:
16:
32:
64:
128:
256:
512:
1024:
2048:
Freqs
test
numberfreq
0222
134
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Total Time
8.004150390625
Average Time
0.031266212463378906
Samples
244.0ms3 072×0valid
Compiler

Compiled 3 660 to 648 computations (82.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 157.0ms
ival-div: 35.0ms (22.3% of total)
ival-mult: 34.0ms (21.7% of total)
ival-sqrt: 34.0ms (21.7% of total)
ival-sub: 25.0ms (15.9% of total)
ival-asin: 23.0ms (14.7% of total)
ival-true: 2.0ms (1.3% of total)
exact: 2.0ms (1.3% of total)
adjust: 1.0ms (0.6% of total)
ival-assert: 1.0ms (0.6% of total)

preprocess324.0ms (18.1%)

Memory
4.9MiB live, 34.8MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
051167
1110167
2220167
3469167
4901167
52008167
62806167
73788167
84947167
95755167
106216167
116594167
126915167
137748167
147844167
157992167
01318
02218
13318
25118
37718
412318
517718
626818
752318
886318
9151318
10277118
11438418
12545718
13588718
14612718
15624418
16628518
17768318
0820418
Stop Event
1×iter limit
1×node limit
1×iter limit
1×node limit
Calls
Call 1
Inputs
(asin.f32 (/.f32 h (sqrt.f32 (-.f32 (*.f32 eta eta) (/.f32 (*.f32 sinTheta_O sinTheta_O) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_O))))))))
Outputs
(asin.f32 (/.f32 h (sqrt.f32 (-.f32 (*.f32 eta eta) (/.f32 (*.f32 sinTheta_O sinTheta_O) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_O))))))))
Symmetry

(abs eta)

(abs sinTheta_O)

Compiler

Compiled 18 to 13 computations (27.8% saved)

eval0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
90.6%
(asin.f32 (/.f32 h (sqrt.f32 (-.f32 (*.f32 eta eta) (/.f32 (*.f32 sinTheta_O sinTheta_O) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_O))))))))
Compiler

Compiled 36 to 26 computations (27.8% saved)

simplify19.0ms (1.1%)

Memory
2.3MiB live, 18.1MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01318
12318
23618
34418
44918
55018
Stop Event
1×saturated
Calls
Call 1
Inputs
(asin.f32 (/.f32 h (sqrt.f32 (-.f32 (*.f32 eta eta) (/.f32 (*.f32 sinTheta_O sinTheta_O) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_O))))))))
Outputs
(asin.f32 (/.f32 h (sqrt.f32 (-.f32 (*.f32 eta eta) (/.f32 (*.f32 sinTheta_O sinTheta_O) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_O))))))))

soundness0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Stop Event
1×fuel
Compiler

Compiled 18 to 13 computations (27.8% saved)

preprocess5.0ms (0.3%)

Memory
-6.7MiB live, 3.0MiB allocated
Remove

(abs sinTheta_O)

(abs eta)

Compiler

Compiled 216 to 156 computations (27.8% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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