Numeric.Log:$cexpm1 from log-domain-0.10.2.1, B

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 10 to 6 computations (40% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
Operation ival-add, time spent: 0.0ms, 0.0% of total-time
Operation ival-mult, time spent: 0.0ms, 0.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

sample1.0s (82.1%)

Results
642.0ms7177×256valid
139.0ms1079×256infinite
Precisions
Click to see histograms. Total time spent on operations: 217.0ms
Operation ival-mult, time spent: 114.0ms, 53.0% of total-time
Operation ival-add, time spent: 95.0ms, 44.0% of total-time
Operation const, time spent: 8.0ms, 4.0% of total-time
Bogosity

preprocess159.0ms (12.8%)

Algorithm
1×egg-herbie
Rules
569×fma-neg
422×fma-define
84×cancel-sign-sub-inv
77×unsub-neg
69×distribute-rgt-in
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(*.f64 x y)
00-0-x
00-0-(+.f64 (+.f64 (*.f64 x y) x) y)
00-0-(+.f64 (*.f64 x y) x)
00-0-y
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
024221
170209
2201177
3660171
41501168
52144168
62257168
72261168
Stop Event
1×saturated
Calls
Call 1
Inputs
(+.f64 (+.f64 (*.f64 x y) x) y)
(+.f64 (+.f64 (*.f64 x y) x) y)
(+.f64 (+.f64 (*.f64 (neg.f64 x) y) (neg.f64 x)) y)
(+.f64 (+.f64 (*.f64 x (neg.f64 y)) x) (neg.f64 y))
(neg.f64 (+.f64 (+.f64 (*.f64 (neg.f64 x) y) (neg.f64 x)) y))
(neg.f64 (+.f64 (+.f64 (*.f64 x (neg.f64 y)) x) (neg.f64 y)))
(+.f64 (+.f64 (*.f64 y x) y) x)
Outputs
(+.f64 (+.f64 (*.f64 x y) x) y)
(+.f64 y (fma.f64 x y x))
(+.f64 x (fma.f64 x y y))
(fma.f64 (+.f64 y #s(literal 1 binary64)) x y)
(fma.f64 x (+.f64 y #s(literal 1 binary64)) y)
(+.f64 (+.f64 (*.f64 x y) x) y)
(+.f64 y (fma.f64 x y x))
(+.f64 x (fma.f64 x y y))
(fma.f64 (+.f64 y #s(literal 1 binary64)) x y)
(fma.f64 x (+.f64 y #s(literal 1 binary64)) y)
(+.f64 (+.f64 (*.f64 (neg.f64 x) y) (neg.f64 x)) y)
(+.f64 y (-.f64 (*.f64 x (neg.f64 y)) x))
(+.f64 y (neg.f64 (fma.f64 x y x)))
(fma.f64 x (-.f64 #s(literal -1 binary64) y) y)
(+.f64 (+.f64 (*.f64 x (neg.f64 y)) x) (neg.f64 y))
(-.f64 (fma.f64 x (neg.f64 y) x) y)
(-.f64 (-.f64 x (*.f64 x y)) y)
(-.f64 x (fma.f64 x y y))
(fma.f64 y (-.f64 #s(literal -1 binary64) x) x)
(neg.f64 (+.f64 (+.f64 (*.f64 (neg.f64 x) y) (neg.f64 x)) y))
(neg.f64 (+.f64 y (-.f64 (*.f64 x (neg.f64 y)) x)))
(-.f64 (neg.f64 y) (neg.f64 (fma.f64 x y x)))
(-.f64 (fma.f64 x y x) y)
(fma.f64 x y (-.f64 x y))
(fma.f64 y (+.f64 x #s(literal -1 binary64)) x)
(neg.f64 (+.f64 (+.f64 (*.f64 x (neg.f64 y)) x) (neg.f64 y)))
(neg.f64 (-.f64 (fma.f64 x (neg.f64 y) x) y))
(-.f64 y (-.f64 x (*.f64 x y)))
(-.f64 (fma.f64 x y y) x)
(fma.f64 (+.f64 y #s(literal -1 binary64)) x y)
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(+.f64 (+.f64 (*.f64 y x) y) x)
(+.f64 y (fma.f64 x y x))
(+.f64 x (fma.f64 x y y))
(fma.f64 (+.f64 y #s(literal 1 binary64)) x y)
(fma.f64 x (+.f64 y #s(literal 1 binary64)) y)
Symmetry

(sort x y)

Results
37.0ms426×256valid
7.0ms86×256infinite
Compiler

Compiled 49 to 17 computations (65.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
Operation ival-add, time spent: 6.0ms, 51.0% of total-time
Operation ival-mult, time spent: 6.0ms, 51.0% of total-time
Operation const, time spent: 1.0ms, 8.0% of total-time

eval1.0ms (0.1%)

Compiler

Compiled 26 to 12 computations (53.8% saved)

prune1.0ms (0.1%)

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

Compiled 9 to 5 computations (44.4% saved)

localize32.0ms (2.5%)

Results
20.0ms213×256valid
3.0ms43×256infinite
Compiler

Compiled 20 to 6 computations (70% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
Operation ival-add, time spent: 4.0ms, 61.0% of total-time
Operation ival-mult, time spent: 2.0ms, 31.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0.1%)

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 (*.f64 x y) x) y)
Compiler

Compiled 18 to 10 computations (44.4% saved)

simplify2.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01031
11331
Stop Event
1×done
1×saturated
Calls
Call 1
Inputs
(+.f64 (+.f64 (*.f64 x y) x) y)
Outputs
(+.f64 (+.f64 (*.f64 x y) x) y)
(+.f64 y (+.f64 x (*.f64 x y)))
Compiler

Compiled 9 to 5 computations (44.4% saved)

soundness0.0ms (0%)

end0.0ms (0%)

preprocess26.0ms (2.1%)

Remove

(sort x y)

Compiler

Compiled 72 to 40 computations (44.4% saved)

Profiling

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