exp neg sub

Time bar (total: 1.8s)

analyze0.0ms (0%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
100%100%0%0%0%0%0%1
Compiler

Compiled 9 to 7 computations (22.2% saved)

sample864.0ms (49%)

Results
435.0ms4137×body256valid
418.0ms4119×body256infinite
Bogosity

preprocess175.0ms (9.9%)

Algorithm
egg-herbie
Rules
1912×fma-def
1370×div-sub
486×sqr-pow
474×associate-*r*
444×sub-neg
Problems
256×No Errors
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
017112
14396
28796
316880
433880
580680
6307980
7527880
Stop Event
node limit
Calls
Call 1
Inputs
(exp.f64 (neg.f64 (-.f64 1 (*.f64 x x))))
(exp.f64 (neg.f64 (-.f64 1 (*.f64 x x))))
(exp.f64 (neg.f64 (-.f64 1 (*.f64 (neg.f64 x) (neg.f64 x)))))
(neg.f64 (exp.f64 (neg.f64 (-.f64 1 (*.f64 (neg.f64 x) (neg.f64 x))))))
Outputs
(exp.f64 (neg.f64 (-.f64 1 (*.f64 x x))))
(exp.f64 (+.f64 -1 (*.f64 x x)))
(exp.f64 (+.f64 (*.f64 x x) -1))
(exp.f64 (fma.f64 x x -1))
(exp.f64 (neg.f64 (-.f64 1 (*.f64 x x))))
(exp.f64 (+.f64 -1 (*.f64 x x)))
(exp.f64 (+.f64 (*.f64 x x) -1))
(exp.f64 (fma.f64 x x -1))
(exp.f64 (neg.f64 (-.f64 1 (*.f64 (neg.f64 x) (neg.f64 x)))))
(exp.f64 (neg.f64 (-.f64 1 (*.f64 x x))))
(exp.f64 (+.f64 -1 (*.f64 x x)))
(exp.f64 (+.f64 (*.f64 x x) -1))
(exp.f64 (fma.f64 x x -1))
(neg.f64 (exp.f64 (neg.f64 (-.f64 1 (*.f64 (neg.f64 x) (neg.f64 x))))))
(neg.f64 (exp.f64 (neg.f64 (-.f64 1 (*.f64 x x)))))
(neg.f64 (exp.f64 (+.f64 -1 (*.f64 x x))))
(neg.f64 (exp.f64 (+.f64 (*.f64 x x) -1)))
(neg.f64 (exp.f64 (fma.f64 x x -1)))
Symmetry

(abs x)

Compiler

Compiled 33 to 19 computations (42.4% saved)

eval1.0ms (0%)

Compiler

Compiled 18 to 11 computations (38.9% saved)

prune1.0ms (0.1%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(exp.f64 (+.f64 (*.f64 x x) -1))
100.0%
(exp.f64 (+.f64 (*.f64 x x) -1))
Compiler

Compiled 14 to 10 computations (28.6% saved)

localize28.0ms (1.6%)

Localize:

Found 1 expressions with local error:

NewAccuracyProgram
100.0%
(exp.f64 (+.f64 (*.f64 x x) -1))
Compiler

Compiled 18 to 9 computations (50% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite118.0ms (6.7%)

Algorithm
batch-egg-rewrite
Rules
602×unpow-prod-down
435×log1p-expm1-u
434×expm1-log1p-u
432×cbrt-prod
430×log-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01019
110219
2123019
Stop Event
node limit
Counts
1 → 63
Calls
Call 1
Inputs
(exp.f64 (+.f64 (*.f64 x x) -1))
Outputs
(+.f64 1 (expm1.f64 (fma.f64 x x -1)))
(+.f64 0 (exp.f64 (fma.f64 x x -1)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (exp.f64 (fma.f64 x x -1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (fma.f64 x x -1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (fma.f64 x x -1))))) (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (fma.f64 x x -1))))))
(-.f64 (+.f64 1 (exp.f64 (fma.f64 x x -1))) 1)
(*.f64 (exp.f64 (fma.f64 x x -1)) 1)
(*.f64 (exp.f64 (fma.f64 x x -1)) (log.f64 (E.f64)))
(*.f64 1 (exp.f64 (fma.f64 x x -1)))
(*.f64 (exp.f64 (pow.f64 x 2)) (exp.f64 -1))
(*.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 (E.f64) -1))
(*.f64 (exp.f64 -1) (exp.f64 (pow.f64 x 2)))
(*.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 2)) (cbrt.f64 (exp.f64 (fma.f64 x x -1))))
(*.f64 (sqrt.f64 (exp.f64 (fma.f64 x x -1))) (sqrt.f64 (exp.f64 (fma.f64 x x -1))))
(*.f64 (pow.f64 (exp.f64 (+.f64 x 1)) x) (pow.f64 (exp.f64 (+.f64 x 1)) -1))
(*.f64 (pow.f64 (E.f64) -1) (exp.f64 (pow.f64 x 2)))
(*.f64 (pow.f64 (E.f64) (*.f64 2 (*.f64 1/3 (fma.f64 x x -1)))) (pow.f64 (E.f64) (*.f64 1/3 (fma.f64 x x -1))))
(*.f64 (pow.f64 (E.f64) (*.f64 1/2 (fma.f64 x x -1))) (pow.f64 (E.f64) (*.f64 1/2 (fma.f64 x x -1))))
(*.f64 (pow.f64 1 1/3) (exp.f64 (fma.f64 x x -1)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 3)) 1/3))
(*.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 2 (fma.f64 x x -1)) (pow.f64 x 2))) 1/3) (cbrt.f64 (exp.f64 -1)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (exp.f64 (fma.f64 x x -1)) (cbrt.f64 (exp.f64 (fma.f64 x x -1)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1)))))
(*.f64 (pow.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (exp.f64 (fma.f64 x x -1)))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 3))))
(*.f64 (cbrt.f64 (exp.f64 (+.f64 (*.f64 2 (fma.f64 x x -1)) (pow.f64 x 2)))) (cbrt.f64 (exp.f64 -1)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (exp.f64 (fma.f64 x x -1)) (cbrt.f64 (exp.f64 (fma.f64 x x -1)))) 2)) (cbrt.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1)))))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 5/2)) (cbrt.f64 (sqrt.f64 (exp.f64 (fma.f64 x x -1)))))
(/.f64 (exp.f64 (pow.f64 x 2)) (E.f64))
(/.f64 (pow.f64 (E.f64) (/.f64 (pow.f64 x 4) (fma.f64 x x 1))) (pow.f64 (E.f64) (/.f64 1 (fma.f64 x x 1))))
(/.f64 (pow.f64 (exp.f64 (+.f64 x 1)) x) (exp.f64 (+.f64 x 1)))
(/.f64 (exp.f64 (/.f64 (pow.f64 x 4) (fma.f64 x x 1))) (exp.f64 (/.f64 1 (fma.f64 x x 1))))
(pow.f64 (exp.f64 (fma.f64 x x -1)) 1)
(pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 3)
(pow.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 2) 1/2)
(pow.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 3) 1/3)
(pow.f64 (sqrt.f64 (exp.f64 (fma.f64 x x -1))) 2)
(pow.f64 (E.f64) (fma.f64 x x -1))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) (cbrt.f64 (fma.f64 x x -1)))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (fma.f64 x x -1)))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))) (*.f64 (sqrt.f64 (fma.f64 x x -1)) 1))
(pow.f64 (exp.f64 (+.f64 x 1)) (+.f64 x -1))
(pow.f64 (exp.f64 (+.f64 x 1)) (*.f64 (+.f64 x -1) 1))
(pow.f64 (exp.f64 (+.f64 -1 (pow.f64 x 6))) (/.f64 1 (-.f64 (+.f64 (pow.f64 x 4) 1) (*.f64 (pow.f64 x 2) -1))))
(pow.f64 (exp.f64 (+.f64 (pow.f64 x 4) -1)) (/.f64 1 (fma.f64 x x 1)))
(pow.f64 (exp.f64 (+.f64 x -1)) (+.f64 x 1))
(pow.f64 (exp.f64 (cbrt.f64 (fma.f64 x x -1))) (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x x -1))) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 x x -1))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 x x -1)))) (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) (cbrt.f64 (+.f64 x 1))) (cbrt.f64 (+.f64 x -1)))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 x x -1)))) (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))) (cbrt.f64 (fma.f64 x x -1))) (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2))) (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (sqrt.f64 (fma.f64 x x -1)))) (sqrt.f64 (sqrt.f64 (fma.f64 x x -1))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (+.f64 x -1)))
(pow.f64 (pow.f64 (exp.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (+.f64 x -1)) 2)) (cbrt.f64 (+.f64 x -1)))
(pow.f64 (pow.f64 (exp.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x -1))) (sqrt.f64 (+.f64 x -1)))
(pow.f64 (pow.f64 (exp.f64 (+.f64 x 1)) (+.f64 (sqrt.f64 x) 1)) (-.f64 (sqrt.f64 x) 1))
(sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 2))
(log.f64 (exp.f64 (exp.f64 (fma.f64 x x -1))))
(cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 3))
(expm1.f64 (log1p.f64 (exp.f64 (fma.f64 x x -1))))
(log1p.f64 (expm1.f64 (exp.f64 (fma.f64 x x -1))))

simplify73.0ms (4.1%)

Algorithm
egg-herbie
Rules
854×associate-*r/
848×sqr-pow
820×fma-def
510×associate-*l/
484×unswap-sqr
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02002845
14672748
212862689
341432641
Stop Event
node limit
Counts
75 → 106
Calls
Call 1
Inputs
(exp.f64 -1)
(+.f64 (exp.f64 -1) (*.f64 (pow.f64 x 2) (exp.f64 -1)))
(+.f64 (exp.f64 -1) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 x 4) (exp.f64 -1))) (*.f64 (pow.f64 x 2) (exp.f64 -1))))
(+.f64 (exp.f64 -1) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 x 6) (exp.f64 -1))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 x 4) (exp.f64 -1))) (*.f64 (pow.f64 x 2) (exp.f64 -1)))))
(exp.f64 (-.f64 (pow.f64 x 2) 1))
(exp.f64 (-.f64 (pow.f64 x 2) 1))
(exp.f64 (-.f64 (pow.f64 x 2) 1))
(exp.f64 (-.f64 (pow.f64 x 2) 1))
(exp.f64 (-.f64 (pow.f64 x 2) 1))
(exp.f64 (-.f64 (pow.f64 x 2) 1))
(exp.f64 (-.f64 (pow.f64 x 2) 1))
(exp.f64 (-.f64 (pow.f64 x 2) 1))
(+.f64 1 (expm1.f64 (fma.f64 x x -1)))
(+.f64 0 (exp.f64 (fma.f64 x x -1)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (exp.f64 (fma.f64 x x -1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (fma.f64 x x -1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (fma.f64 x x -1))))) (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (fma.f64 x x -1))))))
(-.f64 (+.f64 1 (exp.f64 (fma.f64 x x -1))) 1)
(*.f64 (exp.f64 (fma.f64 x x -1)) 1)
(*.f64 (exp.f64 (fma.f64 x x -1)) (log.f64 (E.f64)))
(*.f64 1 (exp.f64 (fma.f64 x x -1)))
(*.f64 (exp.f64 (pow.f64 x 2)) (exp.f64 -1))
(*.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 (E.f64) -1))
(*.f64 (exp.f64 -1) (exp.f64 (pow.f64 x 2)))
(*.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 2)) (cbrt.f64 (exp.f64 (fma.f64 x x -1))))
(*.f64 (sqrt.f64 (exp.f64 (fma.f64 x x -1))) (sqrt.f64 (exp.f64 (fma.f64 x x -1))))
(*.f64 (pow.f64 (exp.f64 (+.f64 x 1)) x) (pow.f64 (exp.f64 (+.f64 x 1)) -1))
(*.f64 (pow.f64 (E.f64) -1) (exp.f64 (pow.f64 x 2)))
(*.f64 (pow.f64 (E.f64) (*.f64 2 (*.f64 1/3 (fma.f64 x x -1)))) (pow.f64 (E.f64) (*.f64 1/3 (fma.f64 x x -1))))
(*.f64 (pow.f64 (E.f64) (*.f64 1/2 (fma.f64 x x -1))) (pow.f64 (E.f64) (*.f64 1/2 (fma.f64 x x -1))))
(*.f64 (pow.f64 1 1/3) (exp.f64 (fma.f64 x x -1)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 3)) 1/3))
(*.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 2 (fma.f64 x x -1)) (pow.f64 x 2))) 1/3) (cbrt.f64 (exp.f64 -1)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (exp.f64 (fma.f64 x x -1)) (cbrt.f64 (exp.f64 (fma.f64 x x -1)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1)))))
(*.f64 (pow.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (exp.f64 (fma.f64 x x -1)))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 3))))
(*.f64 (cbrt.f64 (exp.f64 (+.f64 (*.f64 2 (fma.f64 x x -1)) (pow.f64 x 2)))) (cbrt.f64 (exp.f64 -1)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (exp.f64 (fma.f64 x x -1)) (cbrt.f64 (exp.f64 (fma.f64 x x -1)))) 2)) (cbrt.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1)))))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 5/2)) (cbrt.f64 (sqrt.f64 (exp.f64 (fma.f64 x x -1)))))
(/.f64 (exp.f64 (pow.f64 x 2)) (E.f64))
(/.f64 (pow.f64 (E.f64) (/.f64 (pow.f64 x 4) (fma.f64 x x 1))) (pow.f64 (E.f64) (/.f64 1 (fma.f64 x x 1))))
(/.f64 (pow.f64 (exp.f64 (+.f64 x 1)) x) (exp.f64 (+.f64 x 1)))
(/.f64 (exp.f64 (/.f64 (pow.f64 x 4) (fma.f64 x x 1))) (exp.f64 (/.f64 1 (fma.f64 x x 1))))
(pow.f64 (exp.f64 (fma.f64 x x -1)) 1)
(pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 3)
(pow.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 2) 1/2)
(pow.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 3) 1/3)
(pow.f64 (sqrt.f64 (exp.f64 (fma.f64 x x -1))) 2)
(pow.f64 (E.f64) (fma.f64 x x -1))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) (cbrt.f64 (fma.f64 x x -1)))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (fma.f64 x x -1)))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))) (*.f64 (sqrt.f64 (fma.f64 x x -1)) 1))
(pow.f64 (exp.f64 (+.f64 x 1)) (+.f64 x -1))
(pow.f64 (exp.f64 (+.f64 x 1)) (*.f64 (+.f64 x -1) 1))
(pow.f64 (exp.f64 (+.f64 -1 (pow.f64 x 6))) (/.f64 1 (-.f64 (+.f64 (pow.f64 x 4) 1) (*.f64 (pow.f64 x 2) -1))))
(pow.f64 (exp.f64 (+.f64 (pow.f64 x 4) -1)) (/.f64 1 (fma.f64 x x 1)))
(pow.f64 (exp.f64 (+.f64 x -1)) (+.f64 x 1))
(pow.f64 (exp.f64 (cbrt.f64 (fma.f64 x x -1))) (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x x -1))) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 x x -1))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 x x -1)))) (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) (cbrt.f64 (+.f64 x 1))) (cbrt.f64 (+.f64 x -1)))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 x x -1)))) (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))) (cbrt.f64 (fma.f64 x x -1))) (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2))) (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (sqrt.f64 (fma.f64 x x -1)))) (sqrt.f64 (sqrt.f64 (fma.f64 x x -1))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (+.f64 x -1)))
(pow.f64 (pow.f64 (exp.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (+.f64 x -1)) 2)) (cbrt.f64 (+.f64 x -1)))
(pow.f64 (pow.f64 (exp.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x -1))) (sqrt.f64 (+.f64 x -1)))
(pow.f64 (pow.f64 (exp.f64 (+.f64 x 1)) (+.f64 (sqrt.f64 x) 1)) (-.f64 (sqrt.f64 x) 1))
(sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 2))
(log.f64 (exp.f64 (exp.f64 (fma.f64 x x -1))))
(cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 3))
(expm1.f64 (log1p.f64 (exp.f64 (fma.f64 x x -1))))
(log1p.f64 (expm1.f64 (exp.f64 (fma.f64 x x -1))))
Outputs
(exp.f64 -1)
(+.f64 (exp.f64 -1) (*.f64 (pow.f64 x 2) (exp.f64 -1)))
(*.f64 (fma.f64 x x 1) (exp.f64 -1))
(*.f64 (exp.f64 -1) (fma.f64 x x 1))
(/.f64 (fma.f64 x x 1) (E.f64))
(+.f64 (exp.f64 -1) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 x 4) (exp.f64 -1))) (*.f64 (pow.f64 x 2) (exp.f64 -1))))
(+.f64 (exp.f64 -1) (fma.f64 1/2 (*.f64 (exp.f64 -1) (pow.f64 x 4)) (*.f64 (exp.f64 -1) (pow.f64 x 2))))
(+.f64 (exp.f64 -1) (*.f64 (exp.f64 -1) (+.f64 (pow.f64 x 2) (*.f64 1/2 (pow.f64 x 4)))))
(*.f64 (exp.f64 -1) (+.f64 (pow.f64 x 2) (fma.f64 1/2 (pow.f64 x 4) 1)))
(+.f64 (exp.f64 -1) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 x 6) (exp.f64 -1))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 x 4) (exp.f64 -1))) (*.f64 (pow.f64 x 2) (exp.f64 -1)))))
(+.f64 (exp.f64 -1) (fma.f64 1/6 (*.f64 (exp.f64 -1) (pow.f64 x 6)) (fma.f64 1/2 (*.f64 (exp.f64 -1) (pow.f64 x 4)) (*.f64 (exp.f64 -1) (pow.f64 x 2)))))
(+.f64 (*.f64 (exp.f64 -1) (+.f64 (*.f64 1/6 (pow.f64 x 6)) (*.f64 1/2 (pow.f64 x 4)))) (*.f64 (exp.f64 -1) (fma.f64 x x 1)))
(*.f64 (exp.f64 -1) (+.f64 (fma.f64 1/6 (pow.f64 x 6) (*.f64 1/2 (pow.f64 x 4))) (fma.f64 x x 1)))
(*.f64 (exp.f64 -1) (+.f64 (fma.f64 1/2 (pow.f64 x 4) (pow.f64 x 2)) (fma.f64 1/6 (pow.f64 x 6) 1)))
(exp.f64 (-.f64 (pow.f64 x 2) 1))
(exp.f64 (fma.f64 x x -1))
(exp.f64 (-.f64 (pow.f64 x 2) 1))
(exp.f64 (fma.f64 x x -1))
(exp.f64 (-.f64 (pow.f64 x 2) 1))
(exp.f64 (fma.f64 x x -1))
(exp.f64 (-.f64 (pow.f64 x 2) 1))
(exp.f64 (fma.f64 x x -1))
(exp.f64 (-.f64 (pow.f64 x 2) 1))
(exp.f64 (fma.f64 x x -1))
(exp.f64 (-.f64 (pow.f64 x 2) 1))
(exp.f64 (fma.f64 x x -1))
(exp.f64 (-.f64 (pow.f64 x 2) 1))
(exp.f64 (fma.f64 x x -1))
(exp.f64 (-.f64 (pow.f64 x 2) 1))
(exp.f64 (fma.f64 x x -1))
(+.f64 1 (expm1.f64 (fma.f64 x x -1)))
(exp.f64 (fma.f64 x x -1))
(+.f64 0 (exp.f64 (fma.f64 x x -1)))
(exp.f64 (fma.f64 x x -1))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (exp.f64 (fma.f64 x x -1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (fma.f64 x x -1))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (fma.f64 x x -1))))))
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (fma.f64 x x -1))))) 3)
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (fma.f64 x x -1))))) (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (fma.f64 x x -1))))))
(exp.f64 (fma.f64 x x -1))
(-.f64 (+.f64 1 (exp.f64 (fma.f64 x x -1))) 1)
(exp.f64 (fma.f64 x x -1))
(*.f64 (exp.f64 (fma.f64 x x -1)) 1)
(exp.f64 (fma.f64 x x -1))
(*.f64 (exp.f64 (fma.f64 x x -1)) (log.f64 (E.f64)))
(exp.f64 (fma.f64 x x -1))
(*.f64 1 (exp.f64 (fma.f64 x x -1)))
(exp.f64 (fma.f64 x x -1))
(*.f64 (exp.f64 (pow.f64 x 2)) (exp.f64 -1))
(exp.f64 (fma.f64 x x -1))
(*.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 (E.f64) -1))
(exp.f64 (fma.f64 x x -1))
(*.f64 (exp.f64 -1) (exp.f64 (pow.f64 x 2)))
(exp.f64 (fma.f64 x x -1))
(*.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 2)))
(exp.f64 (fma.f64 x x -1))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 2)) (cbrt.f64 (exp.f64 (fma.f64 x x -1))))
(exp.f64 (fma.f64 x x -1))
(*.f64 (sqrt.f64 (exp.f64 (fma.f64 x x -1))) (sqrt.f64 (exp.f64 (fma.f64 x x -1))))
(exp.f64 (fma.f64 x x -1))
(*.f64 (pow.f64 (exp.f64 (+.f64 x 1)) x) (pow.f64 (exp.f64 (+.f64 x 1)) -1))
(*.f64 (pow.f64 (exp.f64 (+.f64 x 1)) x) (/.f64 1 (exp.f64 (+.f64 x 1))))
(*.f64 (pow.f64 (exp.f64 (+.f64 x 1)) x) (exp.f64 (neg.f64 (+.f64 x 1))))
(/.f64 (pow.f64 (exp.f64 (+.f64 x 1)) x) (exp.f64 (+.f64 x 1)))
(*.f64 (pow.f64 (exp.f64 (+.f64 x 1)) x) (exp.f64 (-.f64 -1 x)))
(*.f64 (pow.f64 (E.f64) -1) (exp.f64 (pow.f64 x 2)))
(exp.f64 (fma.f64 x x -1))
(*.f64 (pow.f64 (E.f64) (*.f64 2 (*.f64 1/3 (fma.f64 x x -1)))) (pow.f64 (E.f64) (*.f64 1/3 (fma.f64 x x -1))))
(*.f64 (pow.f64 (E.f64) (*.f64 2/3 (fma.f64 x x -1))) (pow.f64 (E.f64) (*.f64 (fma.f64 x x -1) 1/3)))
(*.f64 (pow.f64 (E.f64) (*.f64 (fma.f64 x x -1) 2/3)) (pow.f64 (E.f64) (*.f64 (fma.f64 x x -1) 1/3)))
(*.f64 (pow.f64 (E.f64) (fma.f64 (pow.f64 x 2) 2/3 -2/3)) (pow.f64 (E.f64) (fma.f64 (pow.f64 x 2) 1/3 -1/3)))
(pow.f64 (pow.f64 (E.f64) (fma.f64 (pow.f64 x 2) 1/3 -1/3)) 3)
(*.f64 (pow.f64 (E.f64) (*.f64 1/2 (fma.f64 x x -1))) (pow.f64 (E.f64) (*.f64 1/2 (fma.f64 x x -1))))
(exp.f64 (fma.f64 x x -1))
(*.f64 (pow.f64 1 1/3) (exp.f64 (fma.f64 x x -1)))
(exp.f64 (fma.f64 x x -1))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1)))) 3))
(exp.f64 (fma.f64 x x -1))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 3)) 1/3))
(exp.f64 (fma.f64 x x -1))
(*.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 2 (fma.f64 x x -1)) (pow.f64 x 2))) 1/3) (cbrt.f64 (exp.f64 -1)))
(*.f64 (cbrt.f64 (exp.f64 (fma.f64 2 (fma.f64 x x -1) (pow.f64 x 2)))) (cbrt.f64 (exp.f64 -1)))
(*.f64 (cbrt.f64 (exp.f64 (+.f64 (*.f64 (pow.f64 x 2) 3) -2))) (cbrt.f64 (exp.f64 -1)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (exp.f64 (fma.f64 x x -1)) (cbrt.f64 (exp.f64 (fma.f64 x x -1)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1)))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (exp.f64 (fma.f64 x x -1)) (cbrt.f64 (exp.f64 (fma.f64 x x -1)))) 2)) (cbrt.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1)))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 4) 2)) (cbrt.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1)))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 8)) (cbrt.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1)))))
(*.f64 (pow.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (exp.f64 (fma.f64 x x -1)))))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 5/2)) (cbrt.f64 (sqrt.f64 (exp.f64 (fma.f64 x x -1)))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 3))))
(exp.f64 (fma.f64 x x -1))
(*.f64 (cbrt.f64 (exp.f64 (+.f64 (*.f64 2 (fma.f64 x x -1)) (pow.f64 x 2)))) (cbrt.f64 (exp.f64 -1)))
(*.f64 (cbrt.f64 (exp.f64 (fma.f64 2 (fma.f64 x x -1) (pow.f64 x 2)))) (cbrt.f64 (exp.f64 -1)))
(*.f64 (cbrt.f64 (exp.f64 (+.f64 (*.f64 (pow.f64 x 2) 3) -2))) (cbrt.f64 (exp.f64 -1)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (exp.f64 (fma.f64 x x -1)) (cbrt.f64 (exp.f64 (fma.f64 x x -1)))) 2)) (cbrt.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1)))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 4) 2)) (cbrt.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1)))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 8)) (cbrt.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1)))))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 5/2)) (cbrt.f64 (sqrt.f64 (exp.f64 (fma.f64 x x -1)))))
(/.f64 (exp.f64 (pow.f64 x 2)) (E.f64))
(exp.f64 (fma.f64 x x -1))
(/.f64 (pow.f64 (E.f64) (/.f64 (pow.f64 x 4) (fma.f64 x x 1))) (pow.f64 (E.f64) (/.f64 1 (fma.f64 x x 1))))
(/.f64 (pow.f64 (exp.f64 (+.f64 x 1)) x) (exp.f64 (+.f64 x 1)))
(*.f64 (pow.f64 (exp.f64 (+.f64 x 1)) x) (/.f64 1 (exp.f64 (+.f64 x 1))))
(*.f64 (pow.f64 (exp.f64 (+.f64 x 1)) x) (exp.f64 (neg.f64 (+.f64 x 1))))
(*.f64 (pow.f64 (exp.f64 (+.f64 x 1)) x) (exp.f64 (-.f64 -1 x)))
(/.f64 (exp.f64 (/.f64 (pow.f64 x 4) (fma.f64 x x 1))) (exp.f64 (/.f64 1 (fma.f64 x x 1))))
(exp.f64 (-.f64 (/.f64 (pow.f64 x 4) (fma.f64 x x 1)) (/.f64 1 (fma.f64 x x 1))))
(exp.f64 (+.f64 (/.f64 (pow.f64 x 4) (fma.f64 x x 1)) (/.f64 -1 (fma.f64 x x 1))))
(pow.f64 (exp.f64 (fma.f64 x x -1)) 1)
(exp.f64 (fma.f64 x x -1))
(pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 3)
(exp.f64 (fma.f64 x x -1))
(pow.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 2) 1/2)
(exp.f64 (fma.f64 x x -1))
(pow.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 3) 1/3)
(exp.f64 (fma.f64 x x -1))
(pow.f64 (sqrt.f64 (exp.f64 (fma.f64 x x -1))) 2)
(exp.f64 (fma.f64 x x -1))
(pow.f64 (E.f64) (fma.f64 x x -1))
(exp.f64 (fma.f64 x x -1))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) (cbrt.f64 (fma.f64 x x -1)))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (fma.f64 x x -1)))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))) (*.f64 (sqrt.f64 (fma.f64 x x -1)) 1))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (fma.f64 x x -1)))
(pow.f64 (exp.f64 (+.f64 x 1)) (+.f64 x -1))
(exp.f64 (fma.f64 x x -1))
(pow.f64 (exp.f64 (+.f64 x 1)) (*.f64 (+.f64 x -1) 1))
(exp.f64 (fma.f64 x x -1))
(pow.f64 (exp.f64 (+.f64 -1 (pow.f64 x 6))) (/.f64 1 (-.f64 (+.f64 (pow.f64 x 4) 1) (*.f64 (pow.f64 x 2) -1))))
(pow.f64 (exp.f64 (+.f64 -1 (pow.f64 x 6))) (/.f64 1 (+.f64 (pow.f64 x 4) (-.f64 1 (*.f64 -1 (pow.f64 x 2))))))
(pow.f64 (exp.f64 (+.f64 -1 (pow.f64 x 6))) (/.f64 1 (+.f64 (pow.f64 x 4) (-.f64 1 (neg.f64 (pow.f64 x 2))))))
(pow.f64 (exp.f64 (+.f64 -1 (pow.f64 x 6))) (/.f64 1 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))))
(pow.f64 (exp.f64 (+.f64 (pow.f64 x 4) -1)) (/.f64 1 (fma.f64 x x 1)))
(pow.f64 (exp.f64 (+.f64 -1 (pow.f64 x 4))) (/.f64 1 (fma.f64 x x 1)))
(pow.f64 (exp.f64 (+.f64 x -1)) (+.f64 x 1))
(exp.f64 (fma.f64 x x -1))
(pow.f64 (exp.f64 (cbrt.f64 (fma.f64 x x -1))) (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x x -1))) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 x x -1))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 x x -1)))) (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) (cbrt.f64 (+.f64 x 1))) (cbrt.f64 (+.f64 x -1)))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) (cbrt.f64 (+.f64 x 1))) (cbrt.f64 (+.f64 -1 x)))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 x x -1)))) (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))) (cbrt.f64 (fma.f64 x x -1))) (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2))) (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))) (fabs.f64 (cbrt.f64 (fma.f64 x x -1)))) (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))) (cbrt.f64 (fma.f64 x x -1))) (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (sqrt.f64 (fma.f64 x x -1)))) (sqrt.f64 (sqrt.f64 (fma.f64 x x -1))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (+.f64 x -1)))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (+.f64 -1 x)))
(pow.f64 (pow.f64 (exp.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (+.f64 x -1)) 2)) (cbrt.f64 (+.f64 x -1)))
(pow.f64 (pow.f64 (exp.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2)) (cbrt.f64 (+.f64 -1 x)))
(pow.f64 (pow.f64 (exp.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x -1))) (sqrt.f64 (+.f64 x -1)))
(pow.f64 (pow.f64 (exp.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 -1 x))) (sqrt.f64 (+.f64 -1 x)))
(pow.f64 (pow.f64 (exp.f64 (+.f64 x 1)) (+.f64 (sqrt.f64 x) 1)) (-.f64 (sqrt.f64 x) 1))
(pow.f64 (pow.f64 (exp.f64 (+.f64 x 1)) (+.f64 1 (sqrt.f64 x))) (+.f64 (sqrt.f64 x) -1))
(pow.f64 (pow.f64 (exp.f64 (+.f64 x 1)) (+.f64 1 (sqrt.f64 x))) (+.f64 -1 (sqrt.f64 x)))
(sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 2))
(exp.f64 (fma.f64 x x -1))
(log.f64 (exp.f64 (exp.f64 (fma.f64 x x -1))))
(exp.f64 (fma.f64 x x -1))
(cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 3))
(exp.f64 (fma.f64 x x -1))
(expm1.f64 (log1p.f64 (exp.f64 (fma.f64 x x -1))))
(exp.f64 (fma.f64 x x -1))
(log1p.f64 (expm1.f64 (exp.f64 (fma.f64 x x -1))))
(exp.f64 (fma.f64 x x -1))

eval35.0ms (2%)

Compiler

Compiled 1470 to 1117 computations (24% saved)

prune17.0ms (1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1042106
Fresh000
Picked011
Done000
Total1043107
Accuracy
100.0%
Counts
107 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(+.f64 1 (expm1.f64 (fma.f64 x x -1)))
100.0%
(exp.f64 (+.f64 (*.f64 x x) -1))
52.5%
(exp.f64 -1)
100.0%
(+.f64 1 (expm1.f64 (fma.f64 x x -1)))
100.0%
(exp.f64 (+.f64 (*.f64 x x) -1))
52.5%
(exp.f64 -1)
Compiler

Compiled 36 to 28 computations (22.2% saved)

localize45.0ms (2.6%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
100.0%
(expm1.f64 (fma.f64 x x -1))
100.0%
(+.f64 1 (expm1.f64 (fma.f64 x x -1)))
Compiler

Compiled 24 to 17 computations (29.2% saved)

series1.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

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

rewrite64.0ms (3.6%)

Algorithm
batch-egg-rewrite
Rules
526×unpow-prod-down
419×log1p-expm1-u
417×expm1-log1p-u
396×add-exp-log
384×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01244
19838
2115238
Stop Event
node limit
Counts
2 → 128
Calls
Call 1
Inputs
(+.f64 1 (expm1.f64 (fma.f64 x x -1)))
(expm1.f64 (fma.f64 x x -1))
Outputs
(-.f64 (exp.f64 (fma.f64 x x -1)) 0)
(-.f64 (+.f64 1 (exp.f64 (fma.f64 x x -1))) 1)
(-.f64 (/.f64 1 (-.f64 1 (expm1.f64 (fma.f64 x x -1)))) (/.f64 (pow.f64 (expm1.f64 (fma.f64 x x -1)) 2) (-.f64 1 (expm1.f64 (fma.f64 x x -1)))))
(*.f64 1 (exp.f64 (fma.f64 x x -1)))
(*.f64 (exp.f64 (fma.f64 x x -1)) 1)
(*.f64 (exp.f64 (fma.f64 x x -1)) (log.f64 (E.f64)))
(*.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) (cbrt.f64 (exp.f64 (*.f64 (fma.f64 x x -1) 2))))
(*.f64 (cbrt.f64 (exp.f64 (*.f64 (fma.f64 x x -1) 2))) (cbrt.f64 (exp.f64 (fma.f64 x x -1))))
(*.f64 (sqrt.f64 (exp.f64 (fma.f64 x x -1))) (sqrt.f64 (exp.f64 (fma.f64 x x -1))))
(*.f64 (+.f64 1 (pow.f64 (expm1.f64 (fma.f64 x x -1)) 3)) (/.f64 1 (fma.f64 (expm1.f64 (fma.f64 x x -1)) (-.f64 (expm1.f64 (fma.f64 x x -1)) 1) 1)))
(*.f64 (-.f64 1 (pow.f64 (expm1.f64 (fma.f64 x x -1)) 2)) (/.f64 1 (-.f64 1 (expm1.f64 (fma.f64 x x -1)))))
(*.f64 (exp.f64 (pow.f64 x 2)) (exp.f64 -1))
(*.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 (E.f64) -1))
(*.f64 (exp.f64 -1) (exp.f64 (pow.f64 x 2)))
(*.f64 (pow.f64 (E.f64) -1) (exp.f64 (pow.f64 x 2)))
(*.f64 (pow.f64 (E.f64) (*.f64 2 (*.f64 1/3 (fma.f64 x x -1)))) (pow.f64 (E.f64) (*.f64 1/3 (fma.f64 x x -1))))
(*.f64 (pow.f64 (E.f64) (*.f64 1/2 (fma.f64 x x -1))) (pow.f64 (E.f64) (*.f64 1/2 (fma.f64 x x -1))))
(*.f64 (pow.f64 1 1/3) (exp.f64 (fma.f64 x x -1)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (exp.f64 (fma.f64 x x -1)) (cbrt.f64 (exp.f64 (fma.f64 x x -1)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1)))))
(*.f64 (pow.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (exp.f64 (fma.f64 x x -1)))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 3))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (exp.f64 (fma.f64 x x -1)) (cbrt.f64 (exp.f64 (fma.f64 x x -1)))) 2)) (cbrt.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1)))))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 5/2)) (cbrt.f64 (sqrt.f64 (exp.f64 (fma.f64 x x -1)))))
(/.f64 1 (/.f64 (fma.f64 (expm1.f64 (fma.f64 x x -1)) (-.f64 (expm1.f64 (fma.f64 x x -1)) 1) 1) (+.f64 1 (pow.f64 (expm1.f64 (fma.f64 x x -1)) 3))))
(/.f64 1 (/.f64 (-.f64 1 (expm1.f64 (fma.f64 x x -1))) (-.f64 1 (pow.f64 (expm1.f64 (fma.f64 x x -1)) 2))))
(/.f64 (+.f64 1 (pow.f64 (expm1.f64 (fma.f64 x x -1)) 3)) (fma.f64 (expm1.f64 (fma.f64 x x -1)) (-.f64 (expm1.f64 (fma.f64 x x -1)) 1) 1))
(/.f64 (+.f64 1 (pow.f64 (expm1.f64 (fma.f64 x x -1)) 3)) (+.f64 (pow.f64 (expm1.f64 (fma.f64 x x -1)) 2) (-.f64 1 (expm1.f64 (fma.f64 x x -1)))))
(/.f64 (-.f64 1 (pow.f64 (expm1.f64 (fma.f64 x x -1)) 2)) (-.f64 1 (expm1.f64 (fma.f64 x x -1))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (expm1.f64 (fma.f64 x x -1)) 3))) (neg.f64 (fma.f64 (expm1.f64 (fma.f64 x x -1)) (-.f64 (expm1.f64 (fma.f64 x x -1)) 1) 1)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (expm1.f64 (fma.f64 x x -1)) 2))) (neg.f64 (-.f64 1 (expm1.f64 (fma.f64 x x -1)))))
(/.f64 (-.f64 (pow.f64 (expm1.f64 (fma.f64 x x -1)) 2) 1) (-.f64 (expm1.f64 (fma.f64 x x -1)) 1))
(/.f64 (pow.f64 (E.f64) (+.f64 1 (fma.f64 x x -1))) (E.f64))
(/.f64 (pow.f64 (E.f64) (log1p.f64 (pow.f64 (expm1.f64 (fma.f64 x x -1)) 3))) (pow.f64 (E.f64) (log1p.f64 (-.f64 (pow.f64 (expm1.f64 (fma.f64 x x -1)) 2) (expm1.f64 (fma.f64 x x -1))))))
(/.f64 (pow.f64 (E.f64) (log1p.f64 (neg.f64 (pow.f64 (expm1.f64 (fma.f64 x x -1)) 2)))) (pow.f64 (E.f64) (log1p.f64 (neg.f64 (expm1.f64 (fma.f64 x x -1))))))
(/.f64 (exp.f64 (+.f64 1 (fma.f64 x x -1))) (E.f64))
(/.f64 (cbrt.f64 (exp.f64 (+.f64 (*.f64 2 (fma.f64 x x -1)) (log1p.f64 (pow.f64 (expm1.f64 (fma.f64 x x -1)) 3))))) (cbrt.f64 (fma.f64 (expm1.f64 (fma.f64 x x -1)) (-.f64 (expm1.f64 (fma.f64 x x -1)) 1) 1)))
(/.f64 (cbrt.f64 (*.f64 (exp.f64 (*.f64 (fma.f64 x x -1) 2)) (-.f64 1 (pow.f64 (expm1.f64 (fma.f64 x x -1)) 2)))) (cbrt.f64 (-.f64 1 (expm1.f64 (fma.f64 x x -1)))))
(pow.f64 (exp.f64 (fma.f64 x x -1)) 1)
(pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 3)
(pow.f64 (exp.f64 (*.f64 (fma.f64 x x -1) 2)) 1/2)
(pow.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 3) 1/3)
(pow.f64 (sqrt.f64 (exp.f64 (fma.f64 x x -1))) 2)
(pow.f64 (E.f64) (fma.f64 x x -1))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 2))) (cbrt.f64 (fma.f64 x x -1)))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (fma.f64 x x -1)))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))) (*.f64 (sqrt.f64 (fma.f64 x x -1)) 1))
(pow.f64 (exp.f64 (cbrt.f64 (fma.f64 x x -1))) (cbrt.f64 (pow.f64 (fma.f64 x x -1) 2)))
(pow.f64 (/.f64 (fma.f64 (expm1.f64 (fma.f64 x x -1)) (-.f64 (expm1.f64 (fma.f64 x x -1)) 1) 1) (+.f64 1 (pow.f64 (expm1.f64 (fma.f64 x x -1)) 3))) -1)
(pow.f64 (/.f64 (-.f64 1 (expm1.f64 (fma.f64 x x -1))) (-.f64 1 (pow.f64 (expm1.f64 (fma.f64 x x -1)) 2))) -1)
(pow.f64 (pow.f64 (E.f64) (+.f64 x 1)) (-.f64 x 1))
(pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 2))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x x -1))) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 x x -1))))
(pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 2))) (cbrt.f64 (sqrt.f64 (fma.f64 x x -1)))) (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))))
(pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 2))) (sqrt.f64 (cbrt.f64 (fma.f64 x x -1)))) (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))) (cbrt.f64 (fma.f64 x x -1))) (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 2)))) (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (sqrt.f64 (fma.f64 x x -1)))) (sqrt.f64 (sqrt.f64 (fma.f64 x x -1))))
(pow.f64 (exp.f64 (+.f64 x 1)) (-.f64 x 1))
(sqrt.f64 (exp.f64 (*.f64 (fma.f64 x x -1) 2)))
(log.f64 (exp.f64 (exp.f64 (fma.f64 x x -1))))
(cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (pow.f64 (expm1.f64 (fma.f64 x x -1)) 3)) 3) (pow.f64 (fma.f64 (expm1.f64 (fma.f64 x x -1)) (-.f64 (expm1.f64 (fma.f64 x x -1)) 1) 1) 3)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (pow.f64 (expm1.f64 (fma.f64 x x -1)) 2)) 3) (pow.f64 (-.f64 1 (expm1.f64 (fma.f64 x x -1))) 3)))
(expm1.f64 (log1p.f64 (exp.f64 (fma.f64 x x -1))))
(exp.f64 (fma.f64 x x -1))
(exp.f64 (*.f64 (*.f64 1/3 (fma.f64 x x -1)) 3))
(exp.f64 (*.f64 (*.f64 3 (fma.f64 x x -1)) 1/3))
(exp.f64 (*.f64 (*.f64 1/2 (fma.f64 x x -1)) 2))
(exp.f64 (*.f64 (log.f64 (E.f64)) (fma.f64 x x -1)))
(log1p.f64 (expm1.f64 (exp.f64 (fma.f64 x x -1))))
(fma.f64 1 (expm1.f64 (fma.f64 x x -1)) 1)
(fma.f64 1 (exp.f64 (fma.f64 x x -1)) 0)
(fma.f64 (expm1.f64 (fma.f64 x x -1)) 1 1)
(fma.f64 (exp.f64 (fma.f64 x x -1)) 1 0)
(fma.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) (cbrt.f64 (exp.f64 (*.f64 (fma.f64 x x -1) 2))) 0)
(fma.f64 (cbrt.f64 (exp.f64 (*.f64 (fma.f64 x x -1) 2))) (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 0)
(fma.f64 (cbrt.f64 (expm1.f64 (fma.f64 x x -1))) (pow.f64 (cbrt.f64 (expm1.f64 (fma.f64 x x -1))) 2) 1)
(fma.f64 (pow.f64 (cbrt.f64 (expm1.f64 (fma.f64 x x -1))) 2) (cbrt.f64 (expm1.f64 (fma.f64 x x -1))) 1)
(fma.f64 (sqrt.f64 (exp.f64 (fma.f64 x x -1))) (sqrt.f64 (exp.f64 (fma.f64 x x -1))) 0)
(fma.f64 (sqrt.f64 (expm1.f64 (fma.f64 x x -1))) (sqrt.f64 (expm1.f64 (fma.f64 x x -1))) 1)
(fma.f64 (+.f64 1 (pow.f64 (expm1.f64 (fma.f64 x x -1)) 3)) (/.f64 1 (fma.f64 (expm1.f64 (fma.f64 x x -1)) (-.f64 (expm1.f64 (fma.f64 x x -1)) 1) 1)) 0)
(fma.f64 (-.f64 1 (pow.f64 (expm1.f64 (fma.f64 x x -1)) 2)) (/.f64 1 (-.f64 1 (expm1.f64 (fma.f64 x x -1)))) 0)
(fma.f64 (exp.f64 (pow.f64 x 2)) (exp.f64 -1) 0)
(+.f64 (exp.f64 (fma.f64 x x -1)) -1)
(+.f64 0 (expm1.f64 (fma.f64 x x -1)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (expm1.f64 (fma.f64 x x -1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 (fma.f64 x x -1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (fma.f64 x x -1))))) (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (fma.f64 x x -1))))))
(-.f64 (exp.f64 (fma.f64 x x -1)) 1)
(-.f64 (exp.f64 (fma.f64 x x -1)) (log.f64 (E.f64)))
(*.f64 1 (expm1.f64 (fma.f64 x x -1)))
(*.f64 (expm1.f64 (fma.f64 x x -1)) 1)
(*.f64 (expm1.f64 (fma.f64 x x -1)) (log.f64 (E.f64)))
(*.f64 (cbrt.f64 (expm1.f64 (fma.f64 x x -1))) (pow.f64 (cbrt.f64 (expm1.f64 (fma.f64 x x -1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (fma.f64 x x -1))) 2) (cbrt.f64 (expm1.f64 (fma.f64 x x -1))))
(*.f64 (sqrt.f64 (expm1.f64 (fma.f64 x x -1))) (sqrt.f64 (expm1.f64 (fma.f64 x x -1))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (expm1.f64 (fma.f64 x x -1)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (expm1.f64 (fma.f64 x x -1)))) 3))
(*.f64 (pow.f64 1 1/3) (expm1.f64 (fma.f64 x x -1)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (expm1.f64 (fma.f64 x x -1)) (cbrt.f64 (expm1.f64 (fma.f64 x x -1)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (expm1.f64 (fma.f64 x x -1)))))
(*.f64 (pow.f64 (pow.f64 (expm1.f64 (fma.f64 x x -1)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (expm1.f64 (fma.f64 x x -1)))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (expm1.f64 (fma.f64 x x -1)) (cbrt.f64 (expm1.f64 (fma.f64 x x -1)))) 2)) (cbrt.f64 (cbrt.f64 (expm1.f64 (fma.f64 x x -1)))))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 (fma.f64 x x -1)) 5/2)) (cbrt.f64 (sqrt.f64 (expm1.f64 (fma.f64 x x -1)))))
(/.f64 (expm1.f64 (*.f64 3 (fma.f64 x x -1))) (+.f64 (exp.f64 (*.f64 (fma.f64 x x -1) 2)) (+.f64 1 (exp.f64 (fma.f64 x x -1)))))
(/.f64 (expm1.f64 (*.f64 2 (fma.f64 x x -1))) (+.f64 (exp.f64 (fma.f64 x x -1)) 1))
(pow.f64 (expm1.f64 (fma.f64 x x -1)) 1)
(pow.f64 (cbrt.f64 (expm1.f64 (fma.f64 x x -1))) 3)
(pow.f64 (pow.f64 (expm1.f64 (fma.f64 x x -1)) 2) 1/2)
(pow.f64 (pow.f64 (expm1.f64 (fma.f64 x x -1)) 3) 1/3)
(pow.f64 (sqrt.f64 (expm1.f64 (fma.f64 x x -1))) 2)
(pow.f64 (E.f64) (log.f64 (expm1.f64 (fma.f64 x x -1))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 (fma.f64 x x -1)))) 2)) (cbrt.f64 (log.f64 (expm1.f64 (fma.f64 x x -1)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (expm1.f64 (fma.f64 x x -1))))) (sqrt.f64 (log.f64 (expm1.f64 (fma.f64 x x -1)))))
(sqrt.f64 (pow.f64 (expm1.f64 (fma.f64 x x -1)) 2))
(log.f64 (exp.f64 (expm1.f64 (fma.f64 x x -1))))
(cbrt.f64 (pow.f64 (expm1.f64 (fma.f64 x x -1)) 3))
(exp.f64 (log.f64 (expm1.f64 (fma.f64 x x -1))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 (fma.f64 x x -1)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (expm1.f64 (fma.f64 x x -1)) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (expm1.f64 (fma.f64 x x -1)))) 2))
(log1p.f64 (expm1.f64 (expm1.f64 (fma.f64 x x -1))))
(fma.f64 1 (exp.f64 (fma.f64 x x -1)) -1)
(fma.f64 (exp.f64 (fma.f64 x x -1)) 1 -1)
(fma.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) (cbrt.f64 (exp.f64 (*.f64 (fma.f64 x x -1) 2))) -1)
(fma.f64 (cbrt.f64 (exp.f64 (*.f64 (fma.f64 x x -1) 2))) (cbrt.f64 (exp.f64 (fma.f64 x x -1))) -1)
(fma.f64 (sqrt.f64 (exp.f64 (fma.f64 x x -1))) (sqrt.f64 (exp.f64 (fma.f64 x x -1))) -1)
(fma.f64 (+.f64 1 (pow.f64 (expm1.f64 (fma.f64 x x -1)) 3)) (/.f64 1 (fma.f64 (expm1.f64 (fma.f64 x x -1)) (-.f64 (expm1.f64 (fma.f64 x x -1)) 1) 1)) -1)
(fma.f64 (-.f64 1 (pow.f64 (expm1.f64 (fma.f64 x x -1)) 2)) (/.f64 1 (-.f64 1 (expm1.f64 (fma.f64 x x -1)))) -1)
(fma.f64 (exp.f64 (pow.f64 x 2)) (exp.f64 -1) -1)

simplify87.0ms (5%)

Algorithm
egg-herbie
Rules
1062×times-frac
920×fma-neg
914×distribute-lft-in
834×distribute-rgt-in
690×cancel-sign-sub-inv
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03146110
17135913
222595852
Stop Event
node limit
Counts
152 → 185
Calls
Call 1
Inputs
(exp.f64 -1)
(+.f64 (exp.f64 -1) (*.f64 (pow.f64 x 2) (exp.f64 -1)))
(+.f64 (exp.f64 -1) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 x 4) (exp.f64 -1))) (*.f64 (pow.f64 x 2) (exp.f64 -1))))
(+.f64 (exp.f64 -1) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 x 6) (exp.f64 -1))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 x 4) (exp.f64 -1))) (*.f64 (pow.f64 x 2) (exp.f64 -1)))))
(exp.f64 (fma.f64 x x -1))
(exp.f64 (fma.f64 x x -1))
(exp.f64 (fma.f64 x x -1))
(exp.f64 (fma.f64 x x -1))
(exp.f64 (fma.f64 x x -1))
(exp.f64 (fma.f64 x x -1))
(exp.f64 (fma.f64 x x -1))
(exp.f64 (fma.f64 x x -1))
(-.f64 (exp.f64 -1) 1)
(-.f64 (+.f64 (exp.f64 -1) (*.f64 (pow.f64 x 2) (exp.f64 -1))) 1)
(-.f64 (+.f64 (exp.f64 -1) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 x 4) (exp.f64 -1))) (*.f64 (pow.f64 x 2) (exp.f64 -1)))) 1)
(-.f64 (+.f64 (exp.f64 -1) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 x 6) (exp.f64 -1))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 x 4) (exp.f64 -1))) (*.f64 (pow.f64 x 2) (exp.f64 -1))))) 1)
(-.f64 (exp.f64 (fma.f64 x x -1)) 1)
(-.f64 (exp.f64 (fma.f64 x x -1)) 1)
(-.f64 (exp.f64 (fma.f64 x x -1)) 1)
(-.f64 (exp.f64 (fma.f64 x x -1)) 1)
(-.f64 (exp.f64 (fma.f64 x x -1)) 1)
(-.f64 (exp.f64 (fma.f64 x x -1)) 1)
(-.f64 (exp.f64 (fma.f64 x x -1)) 1)
(-.f64 (exp.f64 (fma.f64 x x -1)) 1)
(-.f64 (exp.f64 (fma.f64 x x -1)) 0)
(-.f64 (+.f64 1 (exp.f64 (fma.f64 x x -1))) 1)
(-.f64 (/.f64 1 (-.f64 1 (expm1.f64 (fma.f64 x x -1)))) (/.f64 (pow.f64 (expm1.f64 (fma.f64 x x -1)) 2) (-.f64 1 (expm1.f64 (fma.f64 x x -1)))))
(*.f64 1 (exp.f64 (fma.f64 x x -1)))
(*.f64 (exp.f64 (fma.f64 x x -1)) 1)
(*.f64 (exp.f64 (fma.f64 x x -1)) (log.f64 (E.f64)))
(*.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) (cbrt.f64 (exp.f64 (*.f64 (fma.f64 x x -1) 2))))
(*.f64 (cbrt.f64 (exp.f64 (*.f64 (fma.f64 x x -1) 2))) (cbrt.f64 (exp.f64 (fma.f64 x x -1))))
(*.f64 (sqrt.f64 (exp.f64 (fma.f64 x x -1))) (sqrt.f64 (exp.f64 (fma.f64 x x -1))))
(*.f64 (+.f64 1 (pow.f64 (expm1.f64 (fma.f64 x x -1)) 3)) (/.f64 1 (fma.f64 (expm1.f64 (fma.f64 x x -1)) (-.f64 (expm1.f64 (fma.f64 x x -1)) 1) 1)))
(*.f64 (-.f64 1 (pow.f64 (expm1.f64 (fma.f64 x x -1)) 2)) (/.f64 1 (-.f64 1 (expm1.f64 (fma.f64 x x -1)))))
(*.f64 (exp.f64 (pow.f64 x 2)) (exp.f64 -1))
(*.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 (E.f64) -1))
(*.f64 (exp.f64 -1) (exp.f64 (pow.f64 x 2)))
(*.f64 (pow.f64 (E.f64) -1) (exp.f64 (pow.f64 x 2)))
(*.f64 (pow.f64 (E.f64) (*.f64 2 (*.f64 1/3 (fma.f64 x x -1)))) (pow.f64 (E.f64) (*.f64 1/3 (fma.f64 x x -1))))
(*.f64 (pow.f64 (E.f64) (*.f64 1/2 (fma.f64 x x -1))) (pow.f64 (E.f64) (*.f64 1/2 (fma.f64 x x -1))))
(*.f64 (pow.f64 1 1/3) (exp.f64 (fma.f64 x x -1)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (exp.f64 (fma.f64 x x -1)) (cbrt.f64 (exp.f64 (fma.f64 x x -1)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1)))))
(*.f64 (pow.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (exp.f64 (fma.f64 x x -1)))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 3))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (exp.f64 (fma.f64 x x -1)) (cbrt.f64 (exp.f64 (fma.f64 x x -1)))) 2)) (cbrt.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1)))))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 5/2)) (cbrt.f64 (sqrt.f64 (exp.f64 (fma.f64 x x -1)))))
(/.f64 1 (/.f64 (fma.f64 (expm1.f64 (fma.f64 x x -1)) (-.f64 (expm1.f64 (fma.f64 x x -1)) 1) 1) (+.f64 1 (pow.f64 (expm1.f64 (fma.f64 x x -1)) 3))))
(/.f64 1 (/.f64 (-.f64 1 (expm1.f64 (fma.f64 x x -1))) (-.f64 1 (pow.f64 (expm1.f64 (fma.f64 x x -1)) 2))))
(/.f64 (+.f64 1 (pow.f64 (expm1.f64 (fma.f64 x x -1)) 3)) (fma.f64 (expm1.f64 (fma.f64 x x -1)) (-.f64 (expm1.f64 (fma.f64 x x -1)) 1) 1))
(/.f64 (+.f64 1 (pow.f64 (expm1.f64 (fma.f64 x x -1)) 3)) (+.f64 (pow.f64 (expm1.f64 (fma.f64 x x -1)) 2) (-.f64 1 (expm1.f64 (fma.f64 x x -1)))))
(/.f64 (-.f64 1 (pow.f64 (expm1.f64 (fma.f64 x x -1)) 2)) (-.f64 1 (expm1.f64 (fma.f64 x x -1))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (expm1.f64 (fma.f64 x x -1)) 3))) (neg.f64 (fma.f64 (expm1.f64 (fma.f64 x x -1)) (-.f64 (expm1.f64 (fma.f64 x x -1)) 1) 1)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (expm1.f64 (fma.f64 x x -1)) 2))) (neg.f64 (-.f64 1 (expm1.f64 (fma.f64 x x -1)))))
(/.f64 (-.f64 (pow.f64 (expm1.f64 (fma.f64 x x -1)) 2) 1) (-.f64 (expm1.f64 (fma.f64 x x -1)) 1))
(/.f64 (pow.f64 (E.f64) (+.f64 1 (fma.f64 x x -1))) (E.f64))
(/.f64 (pow.f64 (E.f64) (log1p.f64 (pow.f64 (expm1.f64 (fma.f64 x x -1)) 3))) (pow.f64 (E.f64) (log1p.f64 (-.f64 (pow.f64 (expm1.f64 (fma.f64 x x -1)) 2) (expm1.f64 (fma.f64 x x -1))))))
(/.f64 (pow.f64 (E.f64) (log1p.f64 (neg.f64 (pow.f64 (expm1.f64 (fma.f64 x x -1)) 2)))) (pow.f64 (E.f64) (log1p.f64 (neg.f64 (expm1.f64 (fma.f64 x x -1))))))
(/.f64 (exp.f64 (+.f64 1 (fma.f64 x x -1))) (E.f64))
(/.f64 (cbrt.f64 (exp.f64 (+.f64 (*.f64 2 (fma.f64 x x -1)) (log1p.f64 (pow.f64 (expm1.f64 (fma.f64 x x -1)) 3))))) (cbrt.f64 (fma.f64 (expm1.f64 (fma.f64 x x -1)) (-.f64 (expm1.f64 (fma.f64 x x -1)) 1) 1)))
(/.f64 (cbrt.f64 (*.f64 (exp.f64 (*.f64 (fma.f64 x x -1) 2)) (-.f64 1 (pow.f64 (expm1.f64 (fma.f64 x x -1)) 2)))) (cbrt.f64 (-.f64 1 (expm1.f64 (fma.f64 x x -1)))))
(pow.f64 (exp.f64 (fma.f64 x x -1)) 1)
(pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 3)
(pow.f64 (exp.f64 (*.f64 (fma.f64 x x -1) 2)) 1/2)
(pow.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 3) 1/3)
(pow.f64 (sqrt.f64 (exp.f64 (fma.f64 x x -1))) 2)
(pow.f64 (E.f64) (fma.f64 x x -1))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 2))) (cbrt.f64 (fma.f64 x x -1)))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (fma.f64 x x -1)))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))) (*.f64 (sqrt.f64 (fma.f64 x x -1)) 1))
(pow.f64 (exp.f64 (cbrt.f64 (fma.f64 x x -1))) (cbrt.f64 (pow.f64 (fma.f64 x x -1) 2)))
(pow.f64 (/.f64 (fma.f64 (expm1.f64 (fma.f64 x x -1)) (-.f64 (expm1.f64 (fma.f64 x x -1)) 1) 1) (+.f64 1 (pow.f64 (expm1.f64 (fma.f64 x x -1)) 3))) -1)
(pow.f64 (/.f64 (-.f64 1 (expm1.f64 (fma.f64 x x -1))) (-.f64 1 (pow.f64 (expm1.f64 (fma.f64 x x -1)) 2))) -1)
(pow.f64 (pow.f64 (E.f64) (+.f64 x 1)) (-.f64 x 1))
(pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 2))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x x -1))) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 x x -1))))
(pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 2))) (cbrt.f64 (sqrt.f64 (fma.f64 x x -1)))) (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))))
(pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 2))) (sqrt.f64 (cbrt.f64 (fma.f64 x x -1)))) (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))) (cbrt.f64 (fma.f64 x x -1))) (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 2)))) (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (sqrt.f64 (fma.f64 x x -1)))) (sqrt.f64 (sqrt.f64 (fma.f64 x x -1))))
(pow.f64 (exp.f64 (+.f64 x 1)) (-.f64 x 1))
(sqrt.f64 (exp.f64 (*.f64 (fma.f64 x x -1) 2)))
(log.f64 (exp.f64 (exp.f64 (fma.f64 x x -1))))
(cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (pow.f64 (expm1.f64 (fma.f64 x x -1)) 3)) 3) (pow.f64 (fma.f64 (expm1.f64 (fma.f64 x x -1)) (-.f64 (expm1.f64 (fma.f64 x x -1)) 1) 1) 3)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (pow.f64 (expm1.f64 (fma.f64 x x -1)) 2)) 3) (pow.f64 (-.f64 1 (expm1.f64 (fma.f64 x x -1))) 3)))
(expm1.f64 (log1p.f64 (exp.f64 (fma.f64 x x -1))))
(exp.f64 (fma.f64 x x -1))
(exp.f64 (*.f64 (*.f64 1/3 (fma.f64 x x -1)) 3))
(exp.f64 (*.f64 (*.f64 3 (fma.f64 x x -1)) 1/3))
(exp.f64 (*.f64 (*.f64 1/2 (fma.f64 x x -1)) 2))
(exp.f64 (*.f64 (log.f64 (E.f64)) (fma.f64 x x -1)))
(log1p.f64 (expm1.f64 (exp.f64 (fma.f64 x x -1))))
(fma.f64 1 (expm1.f64 (fma.f64 x x -1)) 1)
(fma.f64 1 (exp.f64 (fma.f64 x x -1)) 0)
(fma.f64 (expm1.f64 (fma.f64 x x -1)) 1 1)
(fma.f64 (exp.f64 (fma.f64 x x -1)) 1 0)
(fma.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) (cbrt.f64 (exp.f64 (*.f64 (fma.f64 x x -1) 2))) 0)
(fma.f64 (cbrt.f64 (exp.f64 (*.f64 (fma.f64 x x -1) 2))) (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 0)
(fma.f64 (cbrt.f64 (expm1.f64 (fma.f64 x x -1))) (pow.f64 (cbrt.f64 (expm1.f64 (fma.f64 x x -1))) 2) 1)
(fma.f64 (pow.f64 (cbrt.f64 (expm1.f64 (fma.f64 x x -1))) 2) (cbrt.f64 (expm1.f64 (fma.f64 x x -1))) 1)
(fma.f64 (sqrt.f64 (exp.f64 (fma.f64 x x -1))) (sqrt.f64 (exp.f64 (fma.f64 x x -1))) 0)
(fma.f64 (sqrt.f64 (expm1.f64 (fma.f64 x x -1))) (sqrt.f64 (expm1.f64 (fma.f64 x x -1))) 1)
(fma.f64 (+.f64 1 (pow.f64 (expm1.f64 (fma.f64 x x -1)) 3)) (/.f64 1 (fma.f64 (expm1.f64 (fma.f64 x x -1)) (-.f64 (expm1.f64 (fma.f64 x x -1)) 1) 1)) 0)
(fma.f64 (-.f64 1 (pow.f64 (expm1.f64 (fma.f64 x x -1)) 2)) (/.f64 1 (-.f64 1 (expm1.f64 (fma.f64 x x -1)))) 0)
(fma.f64 (exp.f64 (pow.f64 x 2)) (exp.f64 -1) 0)
(+.f64 (exp.f64 (fma.f64 x x -1)) -1)
(+.f64 0 (expm1.f64 (fma.f64 x x -1)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (expm1.f64 (fma.f64 x x -1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 (fma.f64 x x -1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (fma.f64 x x -1))))) (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (fma.f64 x x -1))))))
(-.f64 (exp.f64 (fma.f64 x x -1)) 1)
(-.f64 (exp.f64 (fma.f64 x x -1)) (log.f64 (E.f64)))
(*.f64 1 (expm1.f64 (fma.f64 x x -1)))
(*.f64 (expm1.f64 (fma.f64 x x -1)) 1)
(*.f64 (expm1.f64 (fma.f64 x x -1)) (log.f64 (E.f64)))
(*.f64 (cbrt.f64 (expm1.f64 (fma.f64 x x -1))) (pow.f64 (cbrt.f64 (expm1.f64 (fma.f64 x x -1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (fma.f64 x x -1))) 2) (cbrt.f64 (expm1.f64 (fma.f64 x x -1))))
(*.f64 (sqrt.f64 (expm1.f64 (fma.f64 x x -1))) (sqrt.f64 (expm1.f64 (fma.f64 x x -1))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (expm1.f64 (fma.f64 x x -1)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (expm1.f64 (fma.f64 x x -1)))) 3))
(*.f64 (pow.f64 1 1/3) (expm1.f64 (fma.f64 x x -1)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (expm1.f64 (fma.f64 x x -1)) (cbrt.f64 (expm1.f64 (fma.f64 x x -1)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (expm1.f64 (fma.f64 x x -1)))))
(*.f64 (pow.f64 (pow.f64 (expm1.f64 (fma.f64 x x -1)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (expm1.f64 (fma.f64 x x -1)))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (expm1.f64 (fma.f64 x x -1)) (cbrt.f64 (expm1.f64 (fma.f64 x x -1)))) 2)) (cbrt.f64 (cbrt.f64 (expm1.f64 (fma.f64 x x -1)))))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 (fma.f64 x x -1)) 5/2)) (cbrt.f64 (sqrt.f64 (expm1.f64 (fma.f64 x x -1)))))
(/.f64 (expm1.f64 (*.f64 3 (fma.f64 x x -1))) (+.f64 (exp.f64 (*.f64 (fma.f64 x x -1) 2)) (+.f64 1 (exp.f64 (fma.f64 x x -1)))))
(/.f64 (expm1.f64 (*.f64 2 (fma.f64 x x -1))) (+.f64 (exp.f64 (fma.f64 x x -1)) 1))
(pow.f64 (expm1.f64 (fma.f64 x x -1)) 1)
(pow.f64 (cbrt.f64 (expm1.f64 (fma.f64 x x -1))) 3)
(pow.f64 (pow.f64 (expm1.f64 (fma.f64 x x -1)) 2) 1/2)
(pow.f64 (pow.f64 (expm1.f64 (fma.f64 x x -1)) 3) 1/3)
(pow.f64 (sqrt.f64 (expm1.f64 (fma.f64 x x -1))) 2)
(pow.f64 (E.f64) (log.f64 (expm1.f64 (fma.f64 x x -1))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 (fma.f64 x x -1)))) 2)) (cbrt.f64 (log.f64 (expm1.f64 (fma.f64 x x -1)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (expm1.f64 (fma.f64 x x -1))))) (sqrt.f64 (log.f64 (expm1.f64 (fma.f64 x x -1)))))
(sqrt.f64 (pow.f64 (expm1.f64 (fma.f64 x x -1)) 2))
(log.f64 (exp.f64 (expm1.f64 (fma.f64 x x -1))))
(cbrt.f64 (pow.f64 (expm1.f64 (fma.f64 x x -1)) 3))
(exp.f64 (log.f64 (expm1.f64 (fma.f64 x x -1))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 (fma.f64 x x -1)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (expm1.f64 (fma.f64 x x -1)) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (expm1.f64 (fma.f64 x x -1)))) 2))
(log1p.f64 (expm1.f64 (expm1.f64 (fma.f64 x x -1))))
(fma.f64 1 (exp.f64 (fma.f64 x x -1)) -1)
(fma.f64 (exp.f64 (fma.f64 x x -1)) 1 -1)
(fma.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) (cbrt.f64 (exp.f64 (*.f64 (fma.f64 x x -1) 2))) -1)
(fma.f64 (cbrt.f64 (exp.f64 (*.f64 (fma.f64 x x -1) 2))) (cbrt.f64 (exp.f64 (fma.f64 x x -1))) -1)
(fma.f64 (sqrt.f64 (exp.f64 (fma.f64 x x -1))) (sqrt.f64 (exp.f64 (fma.f64 x x -1))) -1)
(fma.f64 (+.f64 1 (pow.f64 (expm1.f64 (fma.f64 x x -1)) 3)) (/.f64 1 (fma.f64 (expm1.f64 (fma.f64 x x -1)) (-.f64 (expm1.f64 (fma.f64 x x -1)) 1) 1)) -1)
(fma.f64 (-.f64 1 (pow.f64 (expm1.f64 (fma.f64 x x -1)) 2)) (/.f64 1 (-.f64 1 (expm1.f64 (fma.f64 x x -1)))) -1)
(fma.f64 (exp.f64 (pow.f64 x 2)) (exp.f64 -1) -1)
Outputs
(exp.f64 -1)
(+.f64 (exp.f64 -1) (*.f64 (pow.f64 x 2) (exp.f64 -1)))
(*.f64 (+.f64 (pow.f64 x 2) 1) (exp.f64 -1))
(*.f64 (exp.f64 -1) (fma.f64 x x 1))
(+.f64 (exp.f64 -1) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 x 4) (exp.f64 -1))) (*.f64 (pow.f64 x 2) (exp.f64 -1))))
(+.f64 (exp.f64 -1) (fma.f64 1/2 (*.f64 (exp.f64 -1) (pow.f64 x 4)) (*.f64 (exp.f64 -1) (pow.f64 x 2))))
(+.f64 (exp.f64 -1) (*.f64 (exp.f64 -1) (+.f64 (pow.f64 x 2) (*.f64 1/2 (pow.f64 x 4)))))
(*.f64 (exp.f64 -1) (+.f64 (fma.f64 x x 1) (*.f64 1/2 (pow.f64 x 4))))
(+.f64 (exp.f64 -1) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 x 6) (exp.f64 -1))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 x 4) (exp.f64 -1))) (*.f64 (pow.f64 x 2) (exp.f64 -1)))))
(+.f64 (exp.f64 -1) (fma.f64 1/6 (*.f64 (exp.f64 -1) (pow.f64 x 6)) (fma.f64 1/2 (*.f64 (exp.f64 -1) (pow.f64 x 4)) (*.f64 (exp.f64 -1) (pow.f64 x 2)))))
(+.f64 (*.f64 (exp.f64 -1) (+.f64 (*.f64 1/6 (pow.f64 x 6)) (*.f64 1/2 (pow.f64 x 4)))) (*.f64 (exp.f64 -1) (fma.f64 x x 1)))
(*.f64 (exp.f64 -1) (+.f64 (+.f64 (*.f64 1/6 (pow.f64 x 6)) (*.f64 1/2 (pow.f64 x 4))) (fma.f64 x x 1)))
(exp.f64 (fma.f64 x x -1))
(exp.f64 (fma.f64 x x -1))
(exp.f64 (fma.f64 x x -1))
(exp.f64 (fma.f64 x x -1))
(exp.f64 (fma.f64 x x -1))
(exp.f64 (fma.f64 x x -1))
(exp.f64 (fma.f64 x x -1))
(exp.f64 (fma.f64 x x -1))
(-.f64 (exp.f64 -1) 1)
(expm1.f64 -1)
(-.f64 (+.f64 (exp.f64 -1) (*.f64 (pow.f64 x 2) (exp.f64 -1))) 1)
(+.f64 (*.f64 (+.f64 (pow.f64 x 2) 1) (exp.f64 -1)) -1)
(fma.f64 (fma.f64 x x 1) (exp.f64 -1) -1)
(fma.f64 (exp.f64 -1) (fma.f64 x x 1) -1)
(-.f64 (+.f64 (exp.f64 -1) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 x 4) (exp.f64 -1))) (*.f64 (pow.f64 x 2) (exp.f64 -1)))) 1)
(+.f64 (+.f64 (exp.f64 -1) (fma.f64 1/2 (*.f64 (exp.f64 -1) (pow.f64 x 4)) (*.f64 (exp.f64 -1) (pow.f64 x 2)))) -1)
(+.f64 (*.f64 (exp.f64 -1) (+.f64 (pow.f64 x 2) (*.f64 1/2 (pow.f64 x 4)))) (expm1.f64 -1))
(+.f64 (*.f64 (exp.f64 -1) (+.f64 (*.f64 1/2 (pow.f64 x 4)) (pow.f64 x 2))) (expm1.f64 -1))
(-.f64 (+.f64 (exp.f64 -1) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 x 6) (exp.f64 -1))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 x 4) (exp.f64 -1))) (*.f64 (pow.f64 x 2) (exp.f64 -1))))) 1)
(+.f64 (+.f64 (exp.f64 -1) (fma.f64 1/6 (*.f64 (exp.f64 -1) (pow.f64 x 6)) (fma.f64 1/2 (*.f64 (exp.f64 -1) (pow.f64 x 4)) (*.f64 (exp.f64 -1) (pow.f64 x 2))))) -1)
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(exp.f64 (fma.f64 x x -1))
(log.f64 (exp.f64 (exp.f64 (fma.f64 x x -1))))
(exp.f64 (fma.f64 x x -1))
(cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 3))
(exp.f64 (fma.f64 x x -1))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (pow.f64 (expm1.f64 (fma.f64 x x -1)) 3)) 3) (pow.f64 (fma.f64 (expm1.f64 (fma.f64 x x -1)) (-.f64 (expm1.f64 (fma.f64 x x -1)) 1) 1) 3)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (pow.f64 (expm1.f64 (fma.f64 x x -1)) 3)) 3) (pow.f64 (fma.f64 (expm1.f64 (fma.f64 x x -1)) (+.f64 (expm1.f64 (fma.f64 x x -1)) -1) 1) 3)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (pow.f64 (expm1.f64 (fma.f64 x x -1)) 3)) 3) (pow.f64 (fma.f64 (expm1.f64 (fma.f64 x x -1)) (+.f64 -1 (expm1.f64 (fma.f64 x x -1))) 1) 3)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (pow.f64 (expm1.f64 (fma.f64 x x -1)) 2)) 3) (pow.f64 (-.f64 1 (expm1.f64 (fma.f64 x x -1))) 3)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (pow.f64 (expm1.f64 (fma.f64 x x -1)) 2)) 3) (pow.f64 (-.f64 2 (exp.f64 (fma.f64 x x -1))) 3)))
(expm1.f64 (log1p.f64 (exp.f64 (fma.f64 x x -1))))
(exp.f64 (fma.f64 x x -1))
(exp.f64 (fma.f64 x x -1))
(exp.f64 (*.f64 (*.f64 1/3 (fma.f64 x x -1)) 3))
(exp.f64 (fma.f64 x x -1))
(exp.f64 (*.f64 (*.f64 3 (fma.f64 x x -1)) 1/3))
(exp.f64 (fma.f64 x x -1))
(exp.f64 (*.f64 (*.f64 1/2 (fma.f64 x x -1)) 2))
(exp.f64 (fma.f64 x x -1))
(exp.f64 (*.f64 (log.f64 (E.f64)) (fma.f64 x x -1)))
(exp.f64 (fma.f64 x x -1))
(log1p.f64 (expm1.f64 (exp.f64 (fma.f64 x x -1))))
(exp.f64 (fma.f64 x x -1))
(fma.f64 1 (expm1.f64 (fma.f64 x x -1)) 1)
(exp.f64 (fma.f64 x x -1))
(fma.f64 1 (exp.f64 (fma.f64 x x -1)) 0)
(exp.f64 (fma.f64 x x -1))
(fma.f64 (expm1.f64 (fma.f64 x x -1)) 1 1)
(exp.f64 (fma.f64 x x -1))
(fma.f64 (exp.f64 (fma.f64 x x -1)) 1 0)
(exp.f64 (fma.f64 x x -1))
(fma.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) (cbrt.f64 (exp.f64 (*.f64 (fma.f64 x x -1) 2))) 0)
(*.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) (cbrt.f64 (exp.f64 (*.f64 2 (fma.f64 x x -1)))))
(*.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) (cbrt.f64 (pow.f64 (exp.f64 2) (fma.f64 x x -1))))
(fma.f64 (cbrt.f64 (exp.f64 (*.f64 (fma.f64 x x -1) 2))) (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 0)
(*.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) (cbrt.f64 (exp.f64 (*.f64 2 (fma.f64 x x -1)))))
(*.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) (cbrt.f64 (pow.f64 (exp.f64 2) (fma.f64 x x -1))))
(fma.f64 (cbrt.f64 (expm1.f64 (fma.f64 x x -1))) (pow.f64 (cbrt.f64 (expm1.f64 (fma.f64 x x -1))) 2) 1)
(exp.f64 (fma.f64 x x -1))
(fma.f64 (pow.f64 (cbrt.f64 (expm1.f64 (fma.f64 x x -1))) 2) (cbrt.f64 (expm1.f64 (fma.f64 x x -1))) 1)
(exp.f64 (fma.f64 x x -1))
(fma.f64 (sqrt.f64 (exp.f64 (fma.f64 x x -1))) (sqrt.f64 (exp.f64 (fma.f64 x x -1))) 0)
(exp.f64 (fma.f64 x x -1))
(fma.f64 (sqrt.f64 (expm1.f64 (fma.f64 x x -1))) (sqrt.f64 (expm1.f64 (fma.f64 x x -1))) 1)
(exp.f64 (fma.f64 x x -1))
(fma.f64 (+.f64 1 (pow.f64 (expm1.f64 (fma.f64 x x -1)) 3)) (/.f64 1 (fma.f64 (expm1.f64 (fma.f64 x x -1)) (-.f64 (expm1.f64 (fma.f64 x x -1)) 1) 1)) 0)
(*.f64 (+.f64 1 (pow.f64 (expm1.f64 (fma.f64 x x -1)) 3)) (/.f64 1 (fma.f64 (expm1.f64 (fma.f64 x x -1)) (+.f64 (expm1.f64 (fma.f64 x x -1)) -1) 1)))
(/.f64 (+.f64 1 (pow.f64 (expm1.f64 (fma.f64 x x -1)) 3)) (fma.f64 (expm1.f64 (fma.f64 x x -1)) (+.f64 -1 (expm1.f64 (fma.f64 x x -1))) 1))
(fma.f64 (-.f64 1 (pow.f64 (expm1.f64 (fma.f64 x x -1)) 2)) (/.f64 1 (-.f64 1 (expm1.f64 (fma.f64 x x -1)))) 0)
(/.f64 (-.f64 1 (pow.f64 (expm1.f64 (fma.f64 x x -1)) 2)) (-.f64 1 (expm1.f64 (fma.f64 x x -1))))
(/.f64 (-.f64 1 (pow.f64 (expm1.f64 (fma.f64 x x -1)) 2)) (-.f64 2 (exp.f64 (fma.f64 x x -1))))
(fma.f64 (exp.f64 (pow.f64 x 2)) (exp.f64 -1) 0)
(exp.f64 (fma.f64 x x -1))
(+.f64 (exp.f64 (fma.f64 x x -1)) -1)
(expm1.f64 (fma.f64 x x -1))
(+.f64 0 (expm1.f64 (fma.f64 x x -1)))
(expm1.f64 (fma.f64 x x -1))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (expm1.f64 (fma.f64 x x -1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 (fma.f64 x x -1))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 (fma.f64 x x -1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (fma.f64 x x -1))))) (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (fma.f64 x x -1))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (fma.f64 x x -1))))))
(-.f64 (exp.f64 (fma.f64 x x -1)) 1)
(expm1.f64 (fma.f64 x x -1))
(-.f64 (exp.f64 (fma.f64 x x -1)) (log.f64 (E.f64)))
(expm1.f64 (fma.f64 x x -1))
(*.f64 1 (expm1.f64 (fma.f64 x x -1)))
(expm1.f64 (fma.f64 x x -1))
(*.f64 (expm1.f64 (fma.f64 x x -1)) 1)
(expm1.f64 (fma.f64 x x -1))
(*.f64 (expm1.f64 (fma.f64 x x -1)) (log.f64 (E.f64)))
(expm1.f64 (fma.f64 x x -1))
(*.f64 (cbrt.f64 (expm1.f64 (fma.f64 x x -1))) (pow.f64 (cbrt.f64 (expm1.f64 (fma.f64 x x -1))) 2))
(expm1.f64 (fma.f64 x x -1))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (fma.f64 x x -1))) 2) (cbrt.f64 (expm1.f64 (fma.f64 x x -1))))
(expm1.f64 (fma.f64 x x -1))
(*.f64 (sqrt.f64 (expm1.f64 (fma.f64 x x -1))) (sqrt.f64 (expm1.f64 (fma.f64 x x -1))))
(expm1.f64 (fma.f64 x x -1))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (expm1.f64 (fma.f64 x x -1)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (expm1.f64 (fma.f64 x x -1)))) 3))
(expm1.f64 (fma.f64 x x -1))
(*.f64 (pow.f64 1 1/3) (expm1.f64 (fma.f64 x x -1)))
(expm1.f64 (fma.f64 x x -1))
(*.f64 (pow.f64 (pow.f64 (*.f64 (expm1.f64 (fma.f64 x x -1)) (cbrt.f64 (expm1.f64 (fma.f64 x x -1)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (expm1.f64 (fma.f64 x x -1)))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (expm1.f64 (fma.f64 x x -1)) (cbrt.f64 (expm1.f64 (fma.f64 x x -1)))) 2)) (cbrt.f64 (cbrt.f64 (expm1.f64 (fma.f64 x x -1)))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (fma.f64 x x -1))) 4) 2)) (cbrt.f64 (cbrt.f64 (expm1.f64 (fma.f64 x x -1)))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (fma.f64 x x -1))) 8)) (cbrt.f64 (cbrt.f64 (expm1.f64 (fma.f64 x x -1)))))
(*.f64 (pow.f64 (pow.f64 (expm1.f64 (fma.f64 x x -1)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (expm1.f64 (fma.f64 x x -1)))))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 (fma.f64 x x -1)) 5/2)) (cbrt.f64 (sqrt.f64 (expm1.f64 (fma.f64 x x -1)))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (expm1.f64 (fma.f64 x x -1)) (cbrt.f64 (expm1.f64 (fma.f64 x x -1)))) 2)) (cbrt.f64 (cbrt.f64 (expm1.f64 (fma.f64 x x -1)))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (fma.f64 x x -1))) 4) 2)) (cbrt.f64 (cbrt.f64 (expm1.f64 (fma.f64 x x -1)))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (fma.f64 x x -1))) 8)) (cbrt.f64 (cbrt.f64 (expm1.f64 (fma.f64 x x -1)))))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 (fma.f64 x x -1)) 5/2)) (cbrt.f64 (sqrt.f64 (expm1.f64 (fma.f64 x x -1)))))
(/.f64 (expm1.f64 (*.f64 3 (fma.f64 x x -1))) (+.f64 (exp.f64 (*.f64 (fma.f64 x x -1) 2)) (+.f64 1 (exp.f64 (fma.f64 x x -1)))))
(/.f64 (expm1.f64 (*.f64 (fma.f64 x x -1) 3)) (+.f64 (+.f64 (exp.f64 (fma.f64 x x -1)) 1) (exp.f64 (*.f64 2 (fma.f64 x x -1)))))
(/.f64 (expm1.f64 (*.f64 (fma.f64 x x -1) 3)) (+.f64 (exp.f64 (fma.f64 x x -1)) (+.f64 1 (pow.f64 (exp.f64 2) (fma.f64 x x -1)))))
(/.f64 (expm1.f64 (*.f64 2 (fma.f64 x x -1))) (+.f64 (exp.f64 (fma.f64 x x -1)) 1))
(pow.f64 (expm1.f64 (fma.f64 x x -1)) 1)
(expm1.f64 (fma.f64 x x -1))
(pow.f64 (cbrt.f64 (expm1.f64 (fma.f64 x x -1))) 3)
(expm1.f64 (fma.f64 x x -1))
(pow.f64 (pow.f64 (expm1.f64 (fma.f64 x x -1)) 2) 1/2)
(expm1.f64 (fma.f64 x x -1))
(pow.f64 (pow.f64 (expm1.f64 (fma.f64 x x -1)) 3) 1/3)
(expm1.f64 (fma.f64 x x -1))
(pow.f64 (sqrt.f64 (expm1.f64 (fma.f64 x x -1))) 2)
(expm1.f64 (fma.f64 x x -1))
(pow.f64 (E.f64) (log.f64 (expm1.f64 (fma.f64 x x -1))))
(expm1.f64 (fma.f64 x x -1))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 (fma.f64 x x -1)))) 2)) (cbrt.f64 (log.f64 (expm1.f64 (fma.f64 x x -1)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (expm1.f64 (fma.f64 x x -1))))) (sqrt.f64 (log.f64 (expm1.f64 (fma.f64 x x -1)))))
(sqrt.f64 (pow.f64 (expm1.f64 (fma.f64 x x -1)) 2))
(expm1.f64 (fma.f64 x x -1))
(log.f64 (exp.f64 (expm1.f64 (fma.f64 x x -1))))
(expm1.f64 (fma.f64 x x -1))
(cbrt.f64 (pow.f64 (expm1.f64 (fma.f64 x x -1)) 3))
(expm1.f64 (fma.f64 x x -1))
(exp.f64 (log.f64 (expm1.f64 (fma.f64 x x -1))))
(expm1.f64 (fma.f64 x x -1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 (fma.f64 x x -1)))) 3))
(expm1.f64 (fma.f64 x x -1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (expm1.f64 (fma.f64 x x -1)) 3)) 1/3))
(expm1.f64 (fma.f64 x x -1))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (expm1.f64 (fma.f64 x x -1)))) 2))
(expm1.f64 (fma.f64 x x -1))
(log1p.f64 (expm1.f64 (expm1.f64 (fma.f64 x x -1))))
(expm1.f64 (fma.f64 x x -1))
(fma.f64 1 (exp.f64 (fma.f64 x x -1)) -1)
(expm1.f64 (fma.f64 x x -1))
(fma.f64 (exp.f64 (fma.f64 x x -1)) 1 -1)
(expm1.f64 (fma.f64 x x -1))
(fma.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) (cbrt.f64 (exp.f64 (*.f64 (fma.f64 x x -1) 2))) -1)
(fma.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) (cbrt.f64 (exp.f64 (*.f64 2 (fma.f64 x x -1)))) -1)
(fma.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) (cbrt.f64 (pow.f64 (exp.f64 2) (fma.f64 x x -1))) -1)
(fma.f64 (cbrt.f64 (exp.f64 (*.f64 (fma.f64 x x -1) 2))) (cbrt.f64 (exp.f64 (fma.f64 x x -1))) -1)
(fma.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) (cbrt.f64 (exp.f64 (*.f64 2 (fma.f64 x x -1)))) -1)
(fma.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) (cbrt.f64 (pow.f64 (exp.f64 2) (fma.f64 x x -1))) -1)
(fma.f64 (sqrt.f64 (exp.f64 (fma.f64 x x -1))) (sqrt.f64 (exp.f64 (fma.f64 x x -1))) -1)
(expm1.f64 (fma.f64 x x -1))
(fma.f64 (+.f64 1 (pow.f64 (expm1.f64 (fma.f64 x x -1)) 3)) (/.f64 1 (fma.f64 (expm1.f64 (fma.f64 x x -1)) (-.f64 (expm1.f64 (fma.f64 x x -1)) 1) 1)) -1)
(fma.f64 (+.f64 1 (pow.f64 (expm1.f64 (fma.f64 x x -1)) 3)) (/.f64 1 (fma.f64 (expm1.f64 (fma.f64 x x -1)) (+.f64 (expm1.f64 (fma.f64 x x -1)) -1) 1)) -1)
(+.f64 -1 (/.f64 (+.f64 1 (pow.f64 (expm1.f64 (fma.f64 x x -1)) 3)) (fma.f64 (expm1.f64 (fma.f64 x x -1)) (+.f64 -1 (expm1.f64 (fma.f64 x x -1))) 1)))
(fma.f64 (-.f64 1 (pow.f64 (expm1.f64 (fma.f64 x x -1)) 2)) (/.f64 1 (-.f64 1 (expm1.f64 (fma.f64 x x -1)))) -1)
(+.f64 -1 (/.f64 (-.f64 1 (pow.f64 (expm1.f64 (fma.f64 x x -1)) 2)) (-.f64 2 (exp.f64 (fma.f64 x x -1)))))
(fma.f64 (exp.f64 (pow.f64 x 2)) (exp.f64 -1) -1)
(expm1.f64 (fma.f64 x x -1))

eval71.0ms (4%)

Compiler

Compiled 2954 to 2295 computations (22.3% saved)

prune22.0ms (1.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1850185
Fresh000
Picked022
Done011
Total1853188
Accuracy
100.0%
Counts
188 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(+.f64 1 (expm1.f64 (fma.f64 x x -1)))
100.0%
(exp.f64 (+.f64 (*.f64 x x) -1))
52.5%
(exp.f64 -1)
Compiler

Compiled 41 to 30 computations (26.8% saved)

regimes15.0ms (0.9%)

Counts
4 → 1
Calls
Call 1
Inputs
(exp.f64 -1)
(exp.f64 (+.f64 (*.f64 x x) -1))
(exp.f64 (neg.f64 (-.f64 1 (*.f64 x x))))
(+.f64 1 (expm1.f64 (fma.f64 x x -1)))
Outputs
(exp.f64 (+.f64 (*.f64 x x) -1))
Calls

5 calls:

4.0ms
(*.f64 x x)
4.0ms
x
2.0ms
(-.f64 1 (*.f64 x x))
2.0ms
(neg.f64 (-.f64 1 (*.f64 x x)))
2.0ms
(exp.f64 (neg.f64 (-.f64 1 (*.f64 x x))))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(exp.f64 (neg.f64 (-.f64 1 (*.f64 x x))))
100.0%1(neg.f64 (-.f64 1 (*.f64 x x)))
100.0%1(-.f64 1 (*.f64 x x))
100.0%1(*.f64 x x)
Compiler

Compiled 50 to 34 computations (32% saved)

regimes4.0ms (0.2%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
52.5%1x
Compiler

Compiled 5 to 4 computations (20% saved)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Rules
+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01128
11228
Stop Event
done
saturated
Calls
Call 1
Inputs
(exp.f64 (+.f64 (*.f64 x x) -1))
(exp.f64 -1)
Outputs
(exp.f64 (+.f64 (*.f64 x x) -1))
(exp.f64 -1)
Compiler

Compiled 10 to 8 computations (20% saved)

soundness110.0ms (6.2%)

Rules
1912×fma-def
1370×div-sub
486×sqr-pow
474×associate-*r*
444×sub-neg
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
017112
14396
28796
316880
433880
580680
6307980
7527880
Stop Event
node limit
Compiler

Compiled 59 to 31 computations (47.5% saved)

end0.0ms (0%)

preprocess29.0ms (1.6%)

Remove

(abs x)

Compiler

Compiled 76 to 56 computations (26.3% saved)

Profiling

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