Bouland and Aaronson, Equation (26)

Time bar (total: 642.0ms)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0.1%)

Memory
0.1MiB live, 0.1MiB allocated
Algorithm
1×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 19 to 13 computations (31.6% saved)

sample94.0ms (14.6%)

Memory
1.3MiB live, 9.0MiB allocated
Samples
14.0ms260×0valid
Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 5.0ms (50.2% of total)
ival-add: 2.0ms (20.1% of total)
ival-pow2: 2.0ms (20.1% of total)
ival-sub: 1.0ms (10% 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

explain334.0ms (52%)

Memory
8.4MiB live, 139.8MiB allocated
Confusion
Predicted +Predicted -
+00
-122134
Precision
0.0
Recall
0/0
2:
4:
8:
16:
32:
64:
128:
256:
512:
1024:
2048:
Samples
188.0ms3 072×0valid
Compiler

Compiled 636 to 444 computations (30.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 124.0ms
ival-mult: 56.0ms (45.3% of total)
ival-pow2: 26.0ms (21% of total)
ival-add: 21.0ms (17% of total)
ival-sub: 13.0ms (10.5% of total)
exact: 3.0ms (2.4% of total)
ival-true: 2.0ms (1.6% of total)
adjust: 1.0ms (0.8% of total)
ival-assert: 1.0ms (0.8% of total)

preprocess189.0ms (29.5%)

Memory
-1.6MiB live, 47.3MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02887
17887
219385
361085
4213785
5580485
01217
01917
13217
25017
314317
442617
5120117
6231017
7552817
8757817
0805315
Stop Event
1×iter limit
1×node limit
1×iter limit
1×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 b b))) #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 b b))) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 4 binary64) b) b (-.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64)) #s(literal 1 binary64)))
Symmetry

(abs b)

(abs a)

Compiler

Compiled 17 to 12 computations (29.4% 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
99.9%
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
Compiler

Compiled 34 to 24 computations (29.4% saved)

simplify19.0ms (3%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01217
12017
22417
32717
43017
53317
Stop Event
1×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 b b))) #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 b b))) #s(literal 1 binary64))
(-.f64 (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 b b)) (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
1×fuel
Compiler

Compiled 17 to 12 computations (29.4% saved)

preprocess4.0ms (0.7%)

Memory
-4.9MiB live, 2.9MiB allocated
Remove

(abs a)

(abs b)

Compiler

Compiled 204 to 144 computations (29.4% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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