Beckmann Distribution sample, tan2theta, alphax != alphay, u1 <= 0.5

Time bar (total: 1.9s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze440.0ms (23.2%)

Memory
8.8MiB live, 159.9MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%0%100%0%0%0%0
0%0%0%100%0%0%0%1
0%0%0%100%0%0%0%2
0%0%0%100%0%0%0%3
0%0%0%100%0%0%0%4
0%0%0%100%0%0%0%5
0%0%0%100%0%0%0%6
0%0%0%100%0%0%0%7
0%0%0%100%0%0%0%8
21.1%0%0%100%0%0%0%9
24.6%0%0%100%0%0%0%10
26.4%0%0%100%0%0%0%11
30.8%0%0%100%0%0%0%12
Compiler

Compiled 53 to 36 computations (32.1% saved)

sample48.0ms (2.5%)

Memory
-4.0MiB live, 18.7MiB allocated
Samples
35.0ms260×0valid
Precisions
Click to see histograms. Total time spent on operations: 27.0ms
const: 7.0ms (25.9% of total)
ival-<=: 5.0ms (18.5% of total)
ival-div: 4.0ms (14.8% of total)
ival-log: 4.0ms (14.8% of total)
ival-mult: 3.0ms (11.1% of total)
ival-add: 1.0ms (3.7% of total)
ival-sub: 1.0ms (3.7% of total)
ival-and: 1.0ms (3.7% of total)
ival-neg: 1.0ms (3.7% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
Bogosity

explain1.1s (57.8%)

Memory
7.3MiB live, 892.7MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
19610(0.00015466086915694177 0.0006217616028152406 0.005182864144444466 2.1286009399545947e-8 5.7779999534934845e-11)6(0.29633814096450806 0.00035275355912745 0.011918623931705952 5.880262965447465e-32 5.521039899303692e-29)(log.f32 (-.f32 #s(literal 1 binary32) u0))
20-2(0.024517562240362167 0.00374298426322639 0.0064039756543934345 1.304434620037572e-32 5.031092108548679e+35)(/.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u0))) (+.f32 (/.f32 cos2phi (*.f32 alphax alphax)) (/.f32 sin2phi (*.f32 alphay alphay))))
00-0-(*.f32 alphay alphay)
00-0-(*.f32 alphax alphax)
00-0-(+.f32 (/.f32 cos2phi (*.f32 alphax alphax)) (/.f32 sin2phi (*.f32 alphay alphay)))
00-0-#s(literal 1 binary32)
00-0-sin2phi
00-0-(/.f32 cos2phi (*.f32 alphax alphax))
00-0-(-.f32 #s(literal 1 binary32) u0)
00-0-alphax
00-0-(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u0)))
00-0-u0
00-0-cos2phi
00-0-alphay
00-0-(/.f32 sin2phi (*.f32 alphay alphay))
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
log.f32(log.f32 (-.f32 #s(literal 1 binary32) u0))sensitivity20017
Confusion
Predicted +Predicted -
+1795
-2151
Precision
0.895
Recall
0.9728260869565217
Confusion?
Predicted +Predicted MaybePredicted -
+17941
-211338
Precision?
0.8433179723502304
Recall?
0.9945652173913043
2:
4:
8:
16:
32:
64:
128:
256:
512:
1024:
2048:
Freqs
test
numberfreq
056
1200
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Total Time
8.344970703125
Average Time
0.03259754180908203
Samples
270.0ms3 072×0valid
Compiler

Compiled 2 460 to 744 computations (69.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 166.0ms
ival-div: 51.0ms (30.7% of total)
ival-log: 41.0ms (24.7% of total)
ival-mult: 31.0ms (18.6% of total)
ival-sub: 15.0ms (9% of total)
ival-add: 12.0ms (7.2% of total)
ival-neg: 11.0ms (6.6% of total)
ival-true: 2.0ms (1.2% of total)
exact: 2.0ms (1.2% of total)
ival-assert: 1.0ms (0.6% of total)

preprocess286.0ms (15.1%)

Memory
-4.9MiB live, 10.3MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089349
1241333
2507333
31324333
43668333
55202333
65935333
76093333
86209333
96255333
106513333
117277333
127585333
137633333
147637333
157637333
167645333
177645333
187789333
01517
02417
13817
24917
36717
410717
517217
627517
745117
887917
9159917
10176517
11185217
12187417
13188117
14188217
0188216
Stop Event
1×iter limit
1×saturated
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u0))) (+.f32 (/.f32 cos2phi (*.f32 alphax alphax)) (/.f32 sin2phi (*.f32 alphay alphay))))
Outputs
(/.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u0))) (+.f32 (/.f32 cos2phi (*.f32 alphax alphax)) (/.f32 sin2phi (*.f32 alphay alphay))))
(/.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (+.f32 (/.f32 sin2phi (*.f32 alphay alphay)) (/.f32 cos2phi (*.f32 alphax alphax))))
Symmetry

(abs alphay)

(abs alphax)

Compiler

Compiled 17 to 15 computations (11.8% 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
63.3%
(/.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u0))) (+.f32 (/.f32 cos2phi (*.f32 alphax alphax)) (/.f32 sin2phi (*.f32 alphay alphay))))
Compiler

Compiled 34 to 30 computations (11.8% saved)

simplify21.0ms (1.1%)

Memory
-0.1MiB live, 18.2MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01517
12617
23517
34617
46417
58317
69717
710517
810717
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u0))) (+.f32 (/.f32 cos2phi (*.f32 alphax alphax)) (/.f32 sin2phi (*.f32 alphay alphay))))
Outputs
(/.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u0))) (+.f32 (/.f32 cos2phi (*.f32 alphax alphax)) (/.f32 sin2phi (*.f32 alphay alphay))))
(/.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u0))) (+.f32 (/.f32 sin2phi (*.f32 alphay alphay)) (/.f32 cos2phi (*.f32 alphax alphax))))

soundness0.0ms (0%)

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

Compiled 17 to 15 computations (11.8% saved)

preprocess4.0ms (0.2%)

Memory
3.2MiB live, 3.2MiB allocated
Remove

(abs alphax)

(abs alphay)

Compiler

Compiled 204 to 180 computations (11.8% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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