Numeric.Log:$clog1p from log-domain-0.10.2.1, A

Time bar (total: 1.2s)

analyze0.0ms (0%)

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 14 to 9 computations (35.7% saved)

sample895.0ms (71.9%)

Results
541.0ms4646×body256valid
343.0ms3610×body256infinite
Bogosity

preprocess116.0ms (9.3%)

Algorithm
1×egg-herbie
Rules
2082×fma-def
302×fma-neg
198×unsub-neg
184×sub-neg
156×associate-+l-
Problems
256×No Errors
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
027283
179247
2257239
3802239
41695239
52408239
62634239
72651239
Stop Event
1×saturated
Calls
Call 1
Inputs
(+.f64 (+.f64 (*.f64 x 2) (*.f64 x x)) (*.f64 y y))
(+.f64 (+.f64 (*.f64 x 2) (*.f64 x x)) (*.f64 y y))
(+.f64 (+.f64 (*.f64 (neg.f64 x) 2) (*.f64 (neg.f64 x) (neg.f64 x))) (*.f64 y y))
(+.f64 (+.f64 (*.f64 x 2) (*.f64 x x)) (*.f64 (neg.f64 y) (neg.f64 y)))
(neg.f64 (+.f64 (+.f64 (*.f64 (neg.f64 x) 2) (*.f64 (neg.f64 x) (neg.f64 x))) (*.f64 y y)))
(neg.f64 (+.f64 (+.f64 (*.f64 x 2) (*.f64 x x)) (*.f64 (neg.f64 y) (neg.f64 y))))
(+.f64 (+.f64 (*.f64 y 2) (*.f64 y y)) (*.f64 x x))
Outputs
(+.f64 (+.f64 (*.f64 x 2) (*.f64 x x)) (*.f64 y y))
(+.f64 (*.f64 x (+.f64 2 x)) (*.f64 y y))
(fma.f64 x (+.f64 x 2) (*.f64 y y))
(+.f64 (+.f64 (*.f64 x 2) (*.f64 x x)) (*.f64 y y))
(+.f64 (*.f64 x (+.f64 2 x)) (*.f64 y y))
(fma.f64 x (+.f64 x 2) (*.f64 y y))
(+.f64 (+.f64 (*.f64 (neg.f64 x) 2) (*.f64 (neg.f64 x) (neg.f64 x))) (*.f64 y y))
(+.f64 (*.f64 y y) (*.f64 (neg.f64 x) (+.f64 2 (neg.f64 x))))
(fma.f64 y y (*.f64 (neg.f64 x) (-.f64 2 x)))
(fma.f64 y y (*.f64 x (+.f64 x -2)))
(fma.f64 x (+.f64 x -2) (*.f64 y y))
(+.f64 (+.f64 (*.f64 x 2) (*.f64 x x)) (*.f64 (neg.f64 y) (neg.f64 y)))
(+.f64 (*.f64 x (+.f64 2 x)) (*.f64 y y))
(fma.f64 x (+.f64 x 2) (*.f64 y y))
(neg.f64 (+.f64 (+.f64 (*.f64 (neg.f64 x) 2) (*.f64 (neg.f64 x) (neg.f64 x))) (*.f64 y y)))
(neg.f64 (+.f64 (*.f64 y y) (*.f64 (neg.f64 x) (+.f64 2 (neg.f64 x)))))
(neg.f64 (fma.f64 y y (*.f64 (neg.f64 x) (-.f64 2 x))))
(-.f64 (*.f64 x (-.f64 2 x)) (*.f64 y y))
(neg.f64 (+.f64 (+.f64 (*.f64 x 2) (*.f64 x x)) (*.f64 (neg.f64 y) (neg.f64 y))))
(neg.f64 (+.f64 (*.f64 x (+.f64 2 x)) (*.f64 y y)))
(neg.f64 (fma.f64 x (+.f64 x 2) (*.f64 y y)))
(+.f64 (+.f64 (*.f64 y 2) (*.f64 y y)) (*.f64 x x))
(+.f64 (*.f64 x x) (*.f64 y (+.f64 2 y)))
(fma.f64 x x (*.f64 y (+.f64 2 y)))
Symmetry

(abs y)

Compiler

Compiled 46 to 23 computations (50% saved)

eval0.0ms (0%)

Compiler

Compiled 19 to 10 computations (47.4% saved)

prune1.0ms (0.1%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(+.f64 (*.f64 x (+.f64 2 x)) (*.f64 y y))
▶100.0%
(+.f64 (*.f64 x (+.f64 2 x)) (*.f64 y y))
Compiler

Compiled 22 to 14 computations (36.4% saved)

localize50.0ms (4%)

Compiler

Compiled 26 to 14 computations (46.2% saved)

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune2.0ms (0.2%)

Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New000
Fresh000
Picked011
Done000
Total011
Accuracy
100.0%
Counts
1 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(+.f64 (*.f64 x (+.f64 2 x)) (*.f64 y y))
Compiler

Compiled 33 to 19 computations (42.4% saved)

regimes14.0ms (1.1%)

Accuracy

Total -0.0b remaining (-∞%)

Threshold costs -0b (-∞%)

Counts
2 → 1
Calls
Call 1
Inputs
(+.f64 (*.f64 x (+.f64 2 x)) (*.f64 y y))
(+.f64 (+.f64 (*.f64 x 2) (*.f64 x x)) (*.f64 y y))
Outputs
(+.f64 (*.f64 x (+.f64 2 x)) (*.f64 y y))
Calls

5 calls:

3.0ms
(+.f64 (*.f64 x 2) (*.f64 x x))
3.0ms
y
3.0ms
x
3.0ms
(+.f64 (+.f64 (*.f64 x 2) (*.f64 x x)) (*.f64 y y))
2.0ms
(*.f64 y y)
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(+.f64 (+.f64 (*.f64 x 2) (*.f64 x x)) (*.f64 y y))
100.0%1(+.f64 (*.f64 x 2) (*.f64 x x))
100.0%1(*.f64 y y)
Compiler

Compiled 55 to 33 computations (40% saved)

simplify26.0ms (2.1%)

Algorithm
1×egg-herbie
Rules
4×+-commutative
2×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01237
11537
Stop Event
1×done
1×saturated
Calls
Call 1
Inputs
(+.f64 (*.f64 x (+.f64 2 x)) (*.f64 y y))
Outputs
(+.f64 (*.f64 x (+.f64 2 x)) (*.f64 y y))
(+.f64 (*.f64 x (+.f64 x 2)) (*.f64 y y))
Compiler

Compiled 11 to 7 computations (36.4% saved)

soundness106.0ms (8.5%)

Rules
2082×fma-def
302×fma-neg
198×unsub-neg
184×sub-neg
156×associate-+l-
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
027283
179247
2257239
3802239
41695239
52408239
62634239
72651239
Stop Event
1×saturated
Compiler

Compiled 22 to 12 computations (45.5% saved)

end0.0ms (0%)

preprocess34.0ms (2.7%)

Remove

(abs y)

Compiler

Compiled 118 to 74 computations (37.3% saved)

Profiling

Loading profile data...