Beckmann Distribution sample, tan2theta, alphax == alphay

Time bar (total: 806.0ms)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze59.0ms (7.4%)

Memory
1.5MiB live, 18.0MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%0.2%99.8%0%0%0%0
0%0%0.2%99.8%0%0%0%1
0%0%0.2%99.8%0%0%0%2
0%0%0.2%99.8%0%0%0%3
0%0%0.2%99.8%0%0%0%4
37.5%0.1%0.1%99.8%0%0%0%5
43.7%0.1%0.1%99.8%0%0%0%6
65.6%0.1%0.1%99.8%0%0%0%7
70.3%0.1%0%99.8%0%0%0%8
82%0.1%0%99.8%0%0%0%9
84.8%0.1%0%99.8%0%0%0%10
90.8%0.1%0%99.8%0%0%0%11
92.3%0.2%0%99.8%0%0%0%12
Compiler

Compiled 25 to 18 computations (28% saved)

sample32.0ms (3.9%)

Memory
3.7MiB live, 11.2MiB allocated
Samples
23.0ms260×0valid
Precisions
Click to see histograms. Total time spent on operations: 18.0ms
const: 6.0ms (32.5% of total)
ival-mult: 3.0ms (16.2% of total)
ival-log: 3.0ms (16.2% of total)
ival-<=: 2.0ms (10.8% of total)
ival-sub: 1.0ms (5.4% of total)
ival-and: 1.0ms (5.4% of total)
ival-neg: 1.0ms (5.4% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
Bogosity

explain657.0ms (81.6%)

Memory
-1.1MiB live, 507.4MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1945(0.0002001450484385714 0.00021362290135584772)8(0.025299841538071632 0.01504923403263092)(log.f32 (-.f32 #s(literal 1 binary32) u0))
00-0-u0
00-0-#s(literal 1 binary32)
00-0-(neg.f32 alpha)
00-0-(*.f32 (neg.f32 alpha) alpha)
00-0-alpha
00-0-(-.f32 #s(literal 1 binary32) u0)
00-0-(*.f32 (*.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0)))
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
log.f32(log.f32 (-.f32 #s(literal 1 binary32) u0))sensitivity19124
Confusion
Predicted +Predicted -
+1857
-658
Precision
0.9685863874345549
Recall
0.9635416666666666
Confusion?
Predicted +Predicted MaybePredicted -
+18570
-61741
Precision?
0.8930232558139535
Recall?
1.0
2:
4:
8:
16:
32:
64:
128:
256:
512:
1024:
2048:
Freqs
test
numberfreq
065
1191
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Total Time
5.564208984375
Average Time
0.021735191345214844
Samples
173.0ms3 072×0valid
Compiler

Compiled 1 032 to 408 computations (60.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 106.0ms
ival-log: 40.0ms (37.6% of total)
ival-mult: 36.0ms (33.9% of total)
ival-neg: 14.0ms (13.2% of total)
ival-sub: 12.0ms (11.3% of total)
ival-true: 2.0ms (1.9% of total)
exact: 1.0ms (0.9% of total)
ival-assert: 1.0ms (0.9% of total)

preprocess30.0ms (3.7%)

Memory
6.1MiB live, 6.1MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02049
16643
217743
345143
475943
586443
690343
791043
891243
991243
089
0139
1269
2489
3929
41209
51399
61799
71989
82049
92109
102109
02108
Stop Event
1×iter limit
1×saturated
1×iter limit
1×saturated
Calls
Call 1
Inputs
(*.f32 (*.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0)))
Outputs
(*.f32 (*.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0)))
(*.f32 (log1p.f32 (neg.f32 u0)) (*.f32 (neg.f32 alpha) alpha))
Symmetry

(abs alpha)

Compiler

Compiled 9 to 8 computations (11.1% saved)

eval0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0.1%)

Memory
0.5MiB live, 0.5MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
56.7%
(*.f32 (*.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0)))
Compiler

Compiled 18 to 16 computations (11.1% saved)

simplify25.0ms (3.1%)

Memory
-7.4MiB live, 18.2MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1209
2319
3439
4499
5529
6539
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f32 (*.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0)))
Outputs
(*.f32 (*.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0)))
(*.f32 (log.f32 (-.f32 #s(literal 1 binary32) u0)) (*.f32 (neg.f32 alpha) alpha))

soundness0.0ms (0%)

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

Compiled 9 to 8 computations (11.1% saved)

preprocess2.0ms (0.2%)

Memory
1.3MiB live, 1.3MiB allocated
Remove

(abs alpha)

Compiler

Compiled 72 to 64 computations (11.1% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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