Bouland and Aaronson, Equation (25)

Time bar (total: 715.0ms)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0.1%)

Memory
0.1MiB live, 0.1MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 33 to 20 computations (39.4% saved)

sample32.0ms (4.5%)

Memory
4.4MiB live, 13.1MiB allocated
Samples
23.0ms260×0valid
Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-mult: 9.0ms (51.4% of total)
ival-add: 4.0ms (22.8% of total)
ival-sub: 2.0ms (11.4% of total)
ival-pow2: 2.0ms (11.4% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
Bogosity

explain474.0ms (66.3%)

Memory
4.7MiB live, 220.5MiB allocated
Confusion
Predicted +Predicted -
+066
-77113
Precision
0.0
Recall
0.0
2:
4:
8:
16:
32:
64:
128:
256:
512:
1024:
2048:
Samples
267.0ms3 072×0valid
Compiler

Compiled 1 140 to 696 computations (38.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 199.0ms
ival-mult: 95.0ms (47.8% of total)
ival-add: 44.0ms (22.1% of total)
ival-pow2: 27.0ms (13.6% of total)
ival-sub: 24.0ms (12.1% of total)
exact: 4.0ms (2% of total)
ival-true: 3.0ms (1.5% of total)
adjust: 1.0ms (0.5% of total)
ival-assert: 1.0ms (0.5% of total)

preprocess184.0ms (25.7%)

Memory
7.8MiB live, 54.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047159
1171157
2671155
32845155
46808155
01931
03231
17031
218831
358731
4195531
5349131
0806226
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
Outputs
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) (*.f64 a a) (fma.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) (*.f64 b b) (-.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64)) #s(literal 1 binary64))))
Symmetry

(abs b)

Compiler

Compiled 31 to 19 computations (38.7% 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
74.1%
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
Compiler

Compiled 62 to 38 computations (38.7% saved)

simplify21.0ms (3%)

Memory
-10.2MiB live, 18.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01931
13731
25131
36231
47931
510231
610431
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
Outputs
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)) (*.f64 b b)) (*.f64 (+.f64 #s(literal 1 binary64) a) (*.f64 a a))) #s(literal 4 binary64)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a a)) #s(literal 2 binary64))) #s(literal 1 binary64))

soundness0.0ms (0%)

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

Compiled 31 to 19 computations (38.7% saved)

preprocess2.0ms (0.3%)

Memory
1.6MiB live, 1.6MiB allocated
Remove

(abs b)

Compiler

Compiled 248 to 152 computations (38.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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