expm1 (example 3.7)

Time bar (total: 1.5s)

analyze0.0ms (0%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%74.6%25.4%0%0%0%0
100%74.6%0%25.4%0%0%0%1
Compiler

Compiled 8 to 6 computations (25% saved)

sample1.1s (75.5%)

Results
577.0ms2772×body1024valid
193.0ms2675×body256infinite
178.0ms1428×body512valid
86.0ms1101×body256valid
62.0ms280×body2048valid
Bogosity

preprocess14.0ms (1%)

Algorithm
2×egg-herbie
Rules
2×1-exp
2×expm1-def
2×sub-neg
2×+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
075
1135
2145
011
Stop Event
1×saturated
1×saturated
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(-.f64 (exp.f64 x) 1)
Outputs
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
Compiler

Compiled 6 to 5 computations (16.7% saved)

simplify15.0ms (1%)

Algorithm
1×egg-herbie
Rules
2×1-exp
2×expm1-def
2×sub-neg
2×+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
075
1135
2145
Stop Event
1×saturated
Counts
1 → 2
Calls
Call 1
Inputs
(-.f64 (exp.f64 x) 1)
Outputs
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)

eval0.0ms (0%)

Compiler

Compiled 7 to 5 computations (28.6% saved)

prune2.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Accurracy
100.0%
Counts
3 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶43.1%
(-.f64 (exp.f64 x) 1)
▶100.0%
(expm1.f64 x)
▶43.1%
(-.f64 (exp.f64 x) 1)
▶100.0%
(expm1.f64 x)
Compiler

Compiled 16 to 12 computations (25% saved)

localize88.0ms (6%)

Local Accuracy

Found 2 expressions with local accuracy:

NewAccuracyProgram
✓43.1%
(-.f64 (exp.f64 x) 1)
✓100.0%
(expm1.f64 x)
Compiler

Compiled 13 to 7 computations (46.2% saved)

series1.0ms (0.1%)

Counts
2 → 16
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@0
(expm1.f64 x)
0.0ms
x
@inf
(expm1.f64 x)
0.0ms
x
@-inf
(expm1.f64 x)
0.0ms
x
@0
(-.f64 (exp.f64 x) 1)
0.0ms
x
@-inf
(-.f64 (exp.f64 x) 1)

rewrite87.0ms (6%)

Algorithm
1×batch-egg-rewrite
Rules
1272×pow1
1174×add-exp-log
1172×log1p-expm1-u
1170×expm1-log1p-u
1152×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0810
115810
2166010
Stop Event
1×node limit
Counts
2 → 64
Calls
Call 1
Inputs
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
Outputs
(+.f64 (exp.f64 x) -1)
(+.f64 -1 (exp.f64 x))
(-.f64 (exp.f64 x) 1)
(-.f64 (/.f64 (pow.f64 (exp.f64 x) 3) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) 1))) (/.f64 1 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) 1))))
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) 1)) (/.f64 1 (+.f64 (exp.f64 x) 1)))
(*.f64 (expm1.f64 x) 1)
(*.f64 1 (expm1.f64 x))
(*.f64 (cbrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (cbrt.f64 (expm1.f64 x)))
(*.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 x)))
(*.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) (/.f64 1 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) 1))))
(*.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (/.f64 1 (+.f64 (exp.f64 x) 1)))
(*.f64 (+.f64 (sqrt.f64 (exp.f64 x)) 1) (-.f64 (sqrt.f64 (exp.f64 x)) 1))
(/.f64 1 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) 1)) (+.f64 (pow.f64 (exp.f64 x) 3) -1)))
(/.f64 1 (/.f64 (+.f64 (exp.f64 x) 1) (+.f64 (exp.f64 (+.f64 x x)) -1)))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) 1)))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 1 (*.f64 (exp.f64 x) -1))))
(/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) 1))
(/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (-.f64 (exp.f64 x) -1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1)) (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) 1))))
(/.f64 (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) -1)) (neg.f64 (+.f64 (exp.f64 x) 1)))
(pow.f64 (expm1.f64 x) 1)
(pow.f64 (cbrt.f64 (expm1.f64 x)) 3)
(pow.f64 (pow.f64 (expm1.f64 x) 3) 1/3)
(pow.f64 (sqrt.f64 (expm1.f64 x)) 2)
(sqrt.f64 (pow.f64 (expm1.f64 x) 2))
(log.f64 (exp.f64 (expm1.f64 x)))
(cbrt.f64 (pow.f64 (expm1.f64 x) 3))
(exp.f64 (log.f64 (expm1.f64 x)))
(log1p.f64 (expm1.f64 (expm1.f64 x)))
(fma.f64 1 (exp.f64 x) -1)
(fma.f64 (cbrt.f64 (exp.f64 (+.f64 x x))) (cbrt.f64 (exp.f64 x)) -1)
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) -1)
(+.f64 (exp.f64 x) -1)
(+.f64 -1 (exp.f64 x))
(*.f64 (expm1.f64 x) 1)
(*.f64 1 (expm1.f64 x))
(*.f64 (cbrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (cbrt.f64 (expm1.f64 x)))
(*.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 x)))
(*.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) (/.f64 1 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) 1))))
(*.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (/.f64 1 (+.f64 (exp.f64 x) 1)))
(*.f64 (+.f64 (sqrt.f64 (exp.f64 x)) 1) (-.f64 (sqrt.f64 (exp.f64 x)) 1))
(/.f64 1 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) 1)) (+.f64 (pow.f64 (exp.f64 x) 3) -1)))
(/.f64 1 (/.f64 (+.f64 (exp.f64 x) 1) (+.f64 (exp.f64 (+.f64 x x)) -1)))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) 1)))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 1 (*.f64 (exp.f64 x) -1))))
(/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) 1))
(/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (-.f64 (exp.f64 x) -1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1)) (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) 1))))
(/.f64 (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) -1)) (neg.f64 (+.f64 (exp.f64 x) 1)))
(pow.f64 (expm1.f64 x) 1)
(pow.f64 (cbrt.f64 (expm1.f64 x)) 3)
(pow.f64 (pow.f64 (expm1.f64 x) 3) 1/3)
(pow.f64 (sqrt.f64 (expm1.f64 x)) 2)
(sqrt.f64 (pow.f64 (expm1.f64 x) 2))
(log.f64 (exp.f64 (expm1.f64 x)))
(cbrt.f64 (pow.f64 (expm1.f64 x) 3))
(expm1.f64 x)
(exp.f64 (log.f64 (expm1.f64 x)))
(log1p.f64 (expm1.f64 (expm1.f64 x)))
(fma.f64 1 (exp.f64 x) -1)
(fma.f64 (cbrt.f64 (exp.f64 (+.f64 x x))) (cbrt.f64 (exp.f64 x)) -1)
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) -1)

simplify58.0ms (4%)

Algorithm
1×egg-herbie
Rules
1968×fma-def
844×div-sub
668×associate-*r*
590×associate-*l*
538×log-prod
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0941424
12061424
26421028
33828938
Stop Event
1×node limit
Counts
80 → 51
Calls
Call 1
Inputs
x
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/24 (pow.f64 x 4)) x)))
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 x) 1)
x
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/24 (pow.f64 x 4)) x)))
(+.f64 (exp.f64 x) -1)
(+.f64 -1 (exp.f64 x))
(-.f64 (exp.f64 x) 1)
(-.f64 (/.f64 (pow.f64 (exp.f64 x) 3) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) 1))) (/.f64 1 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) 1))))
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) 1)) (/.f64 1 (+.f64 (exp.f64 x) 1)))
(*.f64 (expm1.f64 x) 1)
(*.f64 1 (expm1.f64 x))
(*.f64 (cbrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (cbrt.f64 (expm1.f64 x)))
(*.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 x)))
(*.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) (/.f64 1 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) 1))))
(*.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (/.f64 1 (+.f64 (exp.f64 x) 1)))
(*.f64 (+.f64 (sqrt.f64 (exp.f64 x)) 1) (-.f64 (sqrt.f64 (exp.f64 x)) 1))
(/.f64 1 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) 1)) (+.f64 (pow.f64 (exp.f64 x) 3) -1)))
(/.f64 1 (/.f64 (+.f64 (exp.f64 x) 1) (+.f64 (exp.f64 (+.f64 x x)) -1)))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) 1)))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 1 (*.f64 (exp.f64 x) -1))))
(/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) 1))
(/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (-.f64 (exp.f64 x) -1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1)) (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) 1))))
(/.f64 (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) -1)) (neg.f64 (+.f64 (exp.f64 x) 1)))
(pow.f64 (expm1.f64 x) 1)
(pow.f64 (cbrt.f64 (expm1.f64 x)) 3)
(pow.f64 (pow.f64 (expm1.f64 x) 3) 1/3)
(pow.f64 (sqrt.f64 (expm1.f64 x)) 2)
(sqrt.f64 (pow.f64 (expm1.f64 x) 2))
(log.f64 (exp.f64 (expm1.f64 x)))
(cbrt.f64 (pow.f64 (expm1.f64 x) 3))
(exp.f64 (log.f64 (expm1.f64 x)))
(log1p.f64 (expm1.f64 (expm1.f64 x)))
(fma.f64 1 (exp.f64 x) -1)
(fma.f64 (cbrt.f64 (exp.f64 (+.f64 x x))) (cbrt.f64 (exp.f64 x)) -1)
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) -1)
(+.f64 (exp.f64 x) -1)
(+.f64 -1 (exp.f64 x))
(*.f64 (expm1.f64 x) 1)
(*.f64 1 (expm1.f64 x))
(*.f64 (cbrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (cbrt.f64 (expm1.f64 x)))
(*.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 x)))
(*.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) (/.f64 1 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) 1))))
(*.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (/.f64 1 (+.f64 (exp.f64 x) 1)))
(*.f64 (+.f64 (sqrt.f64 (exp.f64 x)) 1) (-.f64 (sqrt.f64 (exp.f64 x)) 1))
(/.f64 1 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) 1)) (+.f64 (pow.f64 (exp.f64 x) 3) -1)))
(/.f64 1 (/.f64 (+.f64 (exp.f64 x) 1) (+.f64 (exp.f64 (+.f64 x x)) -1)))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) 1)))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 1 (*.f64 (exp.f64 x) -1))))
(/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) 1))
(/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (-.f64 (exp.f64 x) -1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1)) (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) 1))))
(/.f64 (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) -1)) (neg.f64 (+.f64 (exp.f64 x) 1)))
(pow.f64 (expm1.f64 x) 1)
(pow.f64 (cbrt.f64 (expm1.f64 x)) 3)
(pow.f64 (pow.f64 (expm1.f64 x) 3) 1/3)
(pow.f64 (sqrt.f64 (expm1.f64 x)) 2)
(sqrt.f64 (pow.f64 (expm1.f64 x) 2))
(log.f64 (exp.f64 (expm1.f64 x)))
(cbrt.f64 (pow.f64 (expm1.f64 x) 3))
(expm1.f64 x)
(exp.f64 (log.f64 (expm1.f64 x)))
(log1p.f64 (expm1.f64 (expm1.f64 x)))
(fma.f64 1 (exp.f64 x) -1)
(fma.f64 (cbrt.f64 (exp.f64 (+.f64 x x))) (cbrt.f64 (exp.f64 x)) -1)
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) -1)
Outputs
x
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(fma.f64 1/2 (*.f64 x x) x)
(fma.f64 x (*.f64 x 1/2) x)
(*.f64 (fma.f64 x 1/2 1) x)
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) x))
(fma.f64 x (*.f64 x 1/2) (fma.f64 1/6 (pow.f64 x 3) x))
(fma.f64 x (*.f64 x (fma.f64 x 1/6 1/2)) x)
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/24 (pow.f64 x 4)) x)))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 4) x)))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 x (*.f64 x 1/2) (fma.f64 1/24 (pow.f64 x 4) x)))
(fma.f64 x (*.f64 x (fma.f64 x 1/6 1/2)) (fma.f64 1/24 (pow.f64 x 4) x))
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
x
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(fma.f64 1/2 (*.f64 x x) x)
(fma.f64 x (*.f64 x 1/2) x)
(*.f64 (fma.f64 x 1/2 1) x)
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) x))
(fma.f64 x (*.f64 x 1/2) (fma.f64 1/6 (pow.f64 x 3) x))
(fma.f64 x (*.f64 x (fma.f64 x 1/6 1/2)) x)
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/24 (pow.f64 x 4)) x)))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 4) x)))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 x (*.f64 x 1/2) (fma.f64 1/24 (pow.f64 x 4) x)))
(fma.f64 x (*.f64 x (fma.f64 x 1/6 1/2)) (fma.f64 1/24 (pow.f64 x 4) x))
(+.f64 (exp.f64 x) -1)
(expm1.f64 x)
(+.f64 -1 (exp.f64 x))
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(-.f64 (/.f64 (pow.f64 (exp.f64 x) 3) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) 1))) (/.f64 1 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) 1))))
(+.f64 (/.f64 (pow.f64 (exp.f64 x) 3) (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (+.f64 x x))))) (/.f64 -1 (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (+.f64 x x))))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) (fma.f64 (+.f64 (exp.f64 x) 1) (exp.f64 x) 1))
(/.f64 (expm1.f64 (*.f64 3 x)) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) 1) 1))
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) 1)) (/.f64 1 (+.f64 (exp.f64 x) 1)))
(expm1.f64 x)
(*.f64 (expm1.f64 x) 1)
(expm1.f64 x)
(*.f64 1 (expm1.f64 x))
(expm1.f64 x)
(*.f64 (cbrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2))
(expm1.f64 x)
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (cbrt.f64 (expm1.f64 x)))
(expm1.f64 x)
(*.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 x)))
(expm1.f64 x)
(*.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) (/.f64 1 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) 1))))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) 3) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) 1))) (/.f64 1 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) 1))))
(+.f64 (/.f64 (pow.f64 (exp.f64 x) 3) (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (+.f64 x x))))) (/.f64 -1 (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (+.f64 x x))))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) (fma.f64 (+.f64 (exp.f64 x) 1) (exp.f64 x) 1))
(/.f64 (expm1.f64 (*.f64 3 x)) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) 1) 1))
(*.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (/.f64 1 (+.f64 (exp.f64 x) 1)))
(expm1.f64 x)
(*.f64 (+.f64 (sqrt.f64 (exp.f64 x)) 1) (-.f64 (sqrt.f64 (exp.f64 x)) 1))
(expm1.f64 x)
(/.f64 1 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) 1)) (+.f64 (pow.f64 (exp.f64 x) 3) -1)))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) 3) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) 1))) (/.f64 1 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) 1))))
(+.f64 (/.f64 (pow.f64 (exp.f64 x) 3) (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (+.f64 x x))))) (/.f64 -1 (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (+.f64 x x))))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) (fma.f64 (+.f64 (exp.f64 x) 1) (exp.f64 x) 1))
(/.f64 (expm1.f64 (*.f64 3 x)) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) 1) 1))
(/.f64 1 (/.f64 (+.f64 (exp.f64 x) 1) (+.f64 (exp.f64 (+.f64 x x)) -1)))
(expm1.f64 x)
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) 1)))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) 3) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) 1))) (/.f64 1 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) 1))))
(+.f64 (/.f64 (pow.f64 (exp.f64 x) 3) (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (+.f64 x x))))) (/.f64 -1 (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (+.f64 x x))))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) (fma.f64 (+.f64 (exp.f64 x) 1) (exp.f64 x) 1))
(/.f64 (expm1.f64 (*.f64 3 x)) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) 1) 1))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 1 (*.f64 (exp.f64 x) -1))))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) 3) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) 1))) (/.f64 1 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) 1))))
(+.f64 (/.f64 (pow.f64 (exp.f64 x) 3) (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (+.f64 x x))))) (/.f64 -1 (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (+.f64 x x))))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) (fma.f64 (+.f64 (exp.f64 x) 1) (exp.f64 x) 1))
(/.f64 (expm1.f64 (*.f64 3 x)) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) 1) 1))
(/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) 1))
(expm1.f64 x)
(/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (-.f64 (exp.f64 x) -1))
(expm1.f64 x)
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1)) (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) 1))))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) 3) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) 1))) (/.f64 1 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) 1))))
(+.f64 (/.f64 (pow.f64 (exp.f64 x) 3) (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (+.f64 x x))))) (/.f64 -1 (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (+.f64 x x))))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) (fma.f64 (+.f64 (exp.f64 x) 1) (exp.f64 x) 1))
(/.f64 (expm1.f64 (*.f64 3 x)) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) 1) 1))
(/.f64 (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) -1)) (neg.f64 (+.f64 (exp.f64 x) 1)))
(expm1.f64 x)
(pow.f64 (expm1.f64 x) 1)
(expm1.f64 x)
(pow.f64 (cbrt.f64 (expm1.f64 x)) 3)
(expm1.f64 x)
(pow.f64 (pow.f64 (expm1.f64 x) 3) 1/3)
(expm1.f64 x)
(pow.f64 (sqrt.f64 (expm1.f64 x)) 2)
(expm1.f64 x)
(sqrt.f64 (pow.f64 (expm1.f64 x) 2))
(expm1.f64 x)
(log.f64 (exp.f64 (expm1.f64 x)))
(expm1.f64 x)
(cbrt.f64 (pow.f64 (expm1.f64 x) 3))
(expm1.f64 x)
(exp.f64 (log.f64 (expm1.f64 x)))
(expm1.f64 x)
(log1p.f64 (expm1.f64 (expm1.f64 x)))
(expm1.f64 x)
(fma.f64 1 (exp.f64 x) -1)
(expm1.f64 x)
(fma.f64 (cbrt.f64 (exp.f64 (+.f64 x x))) (cbrt.f64 (exp.f64 x)) -1)
(fma.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 2)) (cbrt.f64 (exp.f64 x)) -1)
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) -1)
(expm1.f64 x)
(+.f64 (exp.f64 x) -1)
(expm1.f64 x)
(+.f64 -1 (exp.f64 x))
(expm1.f64 x)
(*.f64 (expm1.f64 x) 1)
(expm1.f64 x)
(*.f64 1 (expm1.f64 x))
(expm1.f64 x)
(*.f64 (cbrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2))
(expm1.f64 x)
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (cbrt.f64 (expm1.f64 x)))
(expm1.f64 x)
(*.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 x)))
(expm1.f64 x)
(*.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) (/.f64 1 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) 1))))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) 3) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) 1))) (/.f64 1 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) 1))))
(+.f64 (/.f64 (pow.f64 (exp.f64 x) 3) (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (+.f64 x x))))) (/.f64 -1 (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (+.f64 x x))))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) (fma.f64 (+.f64 (exp.f64 x) 1) (exp.f64 x) 1))
(/.f64 (expm1.f64 (*.f64 3 x)) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) 1) 1))
(*.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (/.f64 1 (+.f64 (exp.f64 x) 1)))
(expm1.f64 x)
(*.f64 (+.f64 (sqrt.f64 (exp.f64 x)) 1) (-.f64 (sqrt.f64 (exp.f64 x)) 1))
(expm1.f64 x)
(/.f64 1 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) 1)) (+.f64 (pow.f64 (exp.f64 x) 3) -1)))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) 3) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) 1))) (/.f64 1 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) 1))))
(+.f64 (/.f64 (pow.f64 (exp.f64 x) 3) (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (+.f64 x x))))) (/.f64 -1 (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (+.f64 x x))))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) (fma.f64 (+.f64 (exp.f64 x) 1) (exp.f64 x) 1))
(/.f64 (expm1.f64 (*.f64 3 x)) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) 1) 1))
(/.f64 1 (/.f64 (+.f64 (exp.f64 x) 1) (+.f64 (exp.f64 (+.f64 x x)) -1)))
(expm1.f64 x)
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) 1)))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) 3) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) 1))) (/.f64 1 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) 1))))
(+.f64 (/.f64 (pow.f64 (exp.f64 x) 3) (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (+.f64 x x))))) (/.f64 -1 (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (+.f64 x x))))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) (fma.f64 (+.f64 (exp.f64 x) 1) (exp.f64 x) 1))
(/.f64 (expm1.f64 (*.f64 3 x)) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) 1) 1))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 1 (*.f64 (exp.f64 x) -1))))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) 3) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) 1))) (/.f64 1 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) 1))))
(+.f64 (/.f64 (pow.f64 (exp.f64 x) 3) (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (+.f64 x x))))) (/.f64 -1 (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (+.f64 x x))))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) (fma.f64 (+.f64 (exp.f64 x) 1) (exp.f64 x) 1))
(/.f64 (expm1.f64 (*.f64 3 x)) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) 1) 1))
(/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) 1))
(expm1.f64 x)
(/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (-.f64 (exp.f64 x) -1))
(expm1.f64 x)
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1)) (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) 1))))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) 3) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) 1))) (/.f64 1 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) 1))))
(+.f64 (/.f64 (pow.f64 (exp.f64 x) 3) (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (+.f64 x x))))) (/.f64 -1 (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (+.f64 x x))))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) (fma.f64 (+.f64 (exp.f64 x) 1) (exp.f64 x) 1))
(/.f64 (expm1.f64 (*.f64 3 x)) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) 1) 1))
(/.f64 (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) -1)) (neg.f64 (+.f64 (exp.f64 x) 1)))
(expm1.f64 x)
(pow.f64 (expm1.f64 x) 1)
(expm1.f64 x)
(pow.f64 (cbrt.f64 (expm1.f64 x)) 3)
(expm1.f64 x)
(pow.f64 (pow.f64 (expm1.f64 x) 3) 1/3)
(expm1.f64 x)
(pow.f64 (sqrt.f64 (expm1.f64 x)) 2)
(expm1.f64 x)
(sqrt.f64 (pow.f64 (expm1.f64 x) 2))
(expm1.f64 x)
(log.f64 (exp.f64 (expm1.f64 x)))
(expm1.f64 x)
(cbrt.f64 (pow.f64 (expm1.f64 x) 3))
(expm1.f64 x)
(expm1.f64 x)
(exp.f64 (log.f64 (expm1.f64 x)))
(expm1.f64 x)
(log1p.f64 (expm1.f64 (expm1.f64 x)))
(expm1.f64 x)
(fma.f64 1 (exp.f64 x) -1)
(expm1.f64 x)
(fma.f64 (cbrt.f64 (exp.f64 (+.f64 x x))) (cbrt.f64 (exp.f64 x)) -1)
(fma.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 2)) (cbrt.f64 (exp.f64 x)) -1)
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) -1)
(expm1.f64 x)

eval10.0ms (0.7%)

Compiler

Compiled 514 to 282 computations (45.1% saved)

prune8.0ms (0.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New50151
Fresh000
Picked022
Done000
Total50353
Accurracy
100.0%
Counts
53 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓43.1%
(-.f64 (exp.f64 x) 1)
✓100.0%
(expm1.f64 x)
63.1%
x
✓43.1%
(-.f64 (exp.f64 x) 1)
✓100.0%
(expm1.f64 x)
63.1%
x
Compiler

Compiled 20 to 14 computations (30% saved)

localize0.0ms (0%)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune2.0ms (0.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done022
Total033
Accurracy
100.0%
Counts
3 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓43.1%
(-.f64 (exp.f64 x) 1)
✓100.0%
(expm1.f64 x)
63.1%
x
✓43.1%
(-.f64 (exp.f64 x) 1)
✓100.0%
(expm1.f64 x)
63.1%
x
Compiler

Compiled 20 to 14 computations (30% saved)

localize0.0ms (0%)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune2.0ms (0.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done022
Total033
Accurracy
100.0%
Counts
3 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓43.1%
(-.f64 (exp.f64 x) 1)
✓100.0%
(expm1.f64 x)
63.1%
x
✓43.1%
(-.f64 (exp.f64 x) 1)
✓100.0%
(expm1.f64 x)
63.1%
x
Compiler

Compiled 20 to 14 computations (30% saved)

localize0.0ms (0%)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune2.0ms (0.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done022
Total033
Accurracy
100.0%
Counts
3 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓43.1%
(-.f64 (exp.f64 x) 1)
✓100.0%
(expm1.f64 x)
63.1%
x
Compiler

Compiled 18 to 12 computations (33.3% saved)

regimes8.0ms (0.5%)

Counts
3 → 1
Calls
Call 1
Inputs
x
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
Outputs
(expm1.f64 x)
Calls

3 calls:

3.0ms
x
2.0ms
(-.f64 (exp.f64 x) 1)
2.0ms
(exp.f64 x)
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(-.f64 (exp.f64 x) 1)
100.0%1(exp.f64 x)
Compiler

Compiled 18 to 12 computations (33.3% saved)

regimes3.0ms (0.2%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
x
Outputs
x
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
63.1%1x
Compiler

Compiled 4 to 2 computations (50% saved)

simplify7.0ms (0.5%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(expm1.f64 x)
x
Outputs
(expm1.f64 x)
x
Compiler

Compiled 5 to 3 computations (40% saved)

soundness13.0ms (0.9%)

Rules
2×1-exp
2×expm1-def
2×sub-neg
2×+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
075
1135
2145
Stop Event
1×saturated
Compiler

Compiled 7 to 5 computations (28.6% saved)

end39.0ms (2.7%)

Compiler

Compiled 46 to 32 computations (30.4% saved)

Profiling

Loading profile data...