exp neg sub

Time bar (total: 1.6s)

analyze0.0ms (0%)

Algorithm
1×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)

sample846.0ms (53.3%)

Results
491.0ms4168×body256valid
345.0ms4088×body256infinite
Bogosity

preprocess98.0ms (6.2%)

Algorithm
1×egg-herbie
Rules
1996×fma-def
1492×div-sub
1302×times-frac
666×associate-*r/
518×fma-neg
Problems
256×No Errors
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01681
14069
28169
315857
429257
562557
6205357
7573757
Stop Event
1×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)))))
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))
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)

localize42.0ms (2.7%)

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))

rewrite98.0ms (6.2%)

Algorithm
1×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
1×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))))

simplify64.0ms (4%)

Algorithm
1×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
1×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))

eval44.0ms (2.8%)

Compiler

Compiled 1470 to 1117 computations (24% saved)

prune14.0ms (0.9%)

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
▶76.7%
(/.f64 (fma.f64 x x 1) (E.f64))
✓100.0%
(exp.f64 (+.f64 (*.f64 x x) -1))
▶50.4%
(exp.f64 -1)
▶76.7%
(/.f64 (fma.f64 x x 1) (E.f64))
✓100.0%
(exp.f64 (+.f64 (*.f64 x x) -1))
▶50.4%
(exp.f64 -1)
Compiler

Compiled 34 to 26 computations (23.5% saved)

localize51.0ms (3.2%)

Localize:

Found 1 expressions with local error:

NewAccuracyProgram
✓99.8%
(/.f64 (fma.f64 x x 1) (E.f64))
Compiler

Compiled 18 to 12 computations (33.3% saved)

series2.0ms (0.1%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(/.f64 (fma.f64 x x 1) (E.f64))
1.0ms
x
@0
(/.f64 (fma.f64 x x 1) (E.f64))
0.0ms
x
@inf
(/.f64 (fma.f64 x x 1) (E.f64))

rewrite54.0ms (3.4%)

Algorithm
1×batch-egg-rewrite
Rules
682×unpow-prod-down
444×cbrt-prod
442×log-prod
420×log1p-expm1-u
420×expm1-log1p-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01023
19423
2113223
Stop Event
1×node limit
Counts
1 → 62
Calls
Call 1
Inputs
(/.f64 (fma.f64 x x 1) (E.f64))
Outputs
(+.f64 0 (/.f64 (fma.f64 x x 1) (E.f64)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2) (/.f64 (fma.f64 x x 1) (E.f64))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 x x 1) (E.f64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 x x 1) (E.f64))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 x x 1) (E.f64))))))
(-.f64 (+.f64 1 (/.f64 (fma.f64 x x 1) (E.f64))) 1)
(*.f64 1 (/.f64 (fma.f64 x x 1) (E.f64)))
(*.f64 (fma.f64 x x 1) (exp.f64 -1))
(*.f64 (/.f64 (fma.f64 x x 1) (E.f64)) 1)
(*.f64 (cbrt.f64 (/.f64 (fma.f64 x x 1) (E.f64))) (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 x) 4)) (exp.f64 2/3)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 x) 4)) (exp.f64 2/3)) (cbrt.f64 (/.f64 (fma.f64 x x 1) (E.f64))))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 x) 4)) (*.f64 (cbrt.f64 (fma.f64 x x 1)) (exp.f64 -1)))
(*.f64 (/.f64 (hypot.f64 1 x) (exp.f64 1/2)) (/.f64 (hypot.f64 1 x) (exp.f64 1/2)))
(*.f64 (hypot.f64 1 x) (*.f64 (hypot.f64 1 x) (exp.f64 -1)))
(*.f64 (neg.f64 (fma.f64 x x 1)) (/.f64 1 (neg.f64 (E.f64))))
(*.f64 (exp.f64 -1) (fma.f64 x x 1))
(*.f64 (exp.f64 -1) (pow.f64 (pow.f64 (hypot.f64 1 x) -2) -1))
(*.f64 (exp.f64 -2/3) (exp.f64 (-.f64 (log1p.f64 (pow.f64 x 2)) 1/3)))
(*.f64 (exp.f64 -1/2) (exp.f64 (-.f64 (log1p.f64 (pow.f64 x 2)) 1/2)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 x) 4)) 1) (/.f64 (cbrt.f64 (fma.f64 x x 1)) (E.f64)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 x) 4)) (exp.f64 1/2)) (/.f64 (cbrt.f64 (fma.f64 x x 1)) (exp.f64 1/2)))
(*.f64 (/.f64 (hypot.f64 1 x) 1) (/.f64 (hypot.f64 1 x) (E.f64)))
(*.f64 (/.f64 (hypot.f64 1 x) (exp.f64 2/3)) (/.f64 (hypot.f64 1 x) (exp.f64 1/3)))
(*.f64 (pow.f64 1 1/3) (/.f64 (fma.f64 x x 1) (E.f64)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (fma.f64 x x 1) (E.f64)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (fma.f64 x x 1) (E.f64)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (pow.f64 (hypot.f64 1 x) 6) (exp.f64 3))) 1/3) (pow.f64 (sqrt.f64 (/.f64 (pow.f64 (hypot.f64 1 x) 6) (exp.f64 3))) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 (fma.f64 x x 1) (E.f64)) (hypot.f64 1 x)) 2) 1/3) (cbrt.f64 (exp.f64 -1)))
(*.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 (hypot.f64 1 x) 4) (exp.f64 -2)) (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 x) 4)) (exp.f64 2/3))) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 (fma.f64 x x 1) (E.f64)))))
(*.f64 (pow.f64 (pow.f64 (/.f64 (fma.f64 x x 1) (E.f64)) 5/2) 1/3) (cbrt.f64 (/.f64 (hypot.f64 1 x) (exp.f64 1/2))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (E.f64) (fma.f64 x x 1))) 2) -1) (cbrt.f64 (/.f64 (fma.f64 x x 1) (E.f64))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) -2) -1) (pow.f64 (/.f64 (E.f64) (cbrt.f64 (fma.f64 x x 1))) -1))
(*.f64 (pow.f64 (/.f64 1 (hypot.f64 1 x)) -1) (pow.f64 (/.f64 (E.f64) (hypot.f64 1 x)) -1))
(*.f64 (pow.f64 (/.f64 (exp.f64 2/3) 1) -1) (pow.f64 (exp.f64 (-.f64 1/3 (log1p.f64 (pow.f64 x 2)))) -1))
(*.f64 (pow.f64 (/.f64 (exp.f64 2/3) (cbrt.f64 (pow.f64 (hypot.f64 1 x) 4))) -1) (cbrt.f64 (/.f64 (fma.f64 x x 1) (E.f64))))
(*.f64 (pow.f64 (/.f64 (exp.f64 2/3) (hypot.f64 1 x)) -1) (pow.f64 (/.f64 (exp.f64 1/3) (hypot.f64 1 x)) -1))
(*.f64 (pow.f64 (/.f64 (exp.f64 1/2) 1) -1) (pow.f64 (exp.f64 (-.f64 1/2 (log1p.f64 (pow.f64 x 2)))) -1))
(*.f64 (pow.f64 (/.f64 (exp.f64 1/2) (cbrt.f64 (pow.f64 (hypot.f64 1 x) 4))) -1) (pow.f64 (/.f64 (exp.f64 1/2) (cbrt.f64 (fma.f64 x x 1))) -1))
(*.f64 (pow.f64 (/.f64 (exp.f64 1/2) (hypot.f64 1 x)) -1) (pow.f64 (/.f64 (exp.f64 1/2) (hypot.f64 1 x)) -1))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (pow.f64 (hypot.f64 1 x) 6) (exp.f64 3)))) (cbrt.f64 (sqrt.f64 (/.f64 (pow.f64 (hypot.f64 1 x) 6) (exp.f64 3)))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 (fma.f64 x x 1) (E.f64)) (hypot.f64 1 x)) 2)) (cbrt.f64 (exp.f64 -1)))
(*.f64 (cbrt.f64 (*.f64 (*.f64 (pow.f64 (hypot.f64 1 x) 4) (exp.f64 -2)) (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 x) 4)) (exp.f64 2/3)))) (cbrt.f64 (cbrt.f64 (/.f64 (fma.f64 x x 1) (E.f64)))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 x x 1) (E.f64)) 5/2)) (cbrt.f64 (/.f64 (hypot.f64 1 x) (exp.f64 1/2))))
(pow.f64 (E.f64) (+.f64 (log1p.f64 (pow.f64 x 2)) -1))
(pow.f64 (/.f64 (fma.f64 x x 1) (E.f64)) 1)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 x x 1) (E.f64))) 3)
(pow.f64 (*.f64 (pow.f64 (hypot.f64 1 x) 4) (exp.f64 -2)) 1/2)
(pow.f64 (/.f64 (pow.f64 (hypot.f64 1 x) 6) (exp.f64 3)) 1/3)
(pow.f64 (/.f64 (hypot.f64 1 x) (exp.f64 1/2)) 2)
(pow.f64 (/.f64 (E.f64) (fma.f64 x x 1)) -1)
(pow.f64 (/.f64 (/.f64 (E.f64) (fma.f64 x x 1)) 1) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (pow.f64 x 2)) -1)) 2)) (cbrt.f64 (+.f64 (log1p.f64 (pow.f64 x 2)) -1)))
(pow.f64 (exp.f64 (sqrt.f64 (+.f64 (log1p.f64 (pow.f64 x 2)) -1))) (sqrt.f64 (+.f64 (log1p.f64 (pow.f64 x 2)) -1)))
(neg.f64 (/.f64 (fma.f64 x x 1) (neg.f64 (E.f64))))
(sqrt.f64 (*.f64 (pow.f64 (hypot.f64 1 x) 4) (exp.f64 -2)))
(log.f64 (exp.f64 (/.f64 (fma.f64 x x 1) (E.f64))))
(cbrt.f64 (/.f64 (pow.f64 (hypot.f64 1 x) 6) (exp.f64 3)))
(cbrt.f64 (/.f64 (pow.f64 (neg.f64 (fma.f64 x x 1)) 3) (pow.f64 (neg.f64 (E.f64)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 x x 1) (E.f64))))
(exp.f64 (+.f64 (log1p.f64 (pow.f64 x 2)) -1))
(exp.f64 (*.f64 (*.f64 1/3 (+.f64 (log1p.f64 (pow.f64 x 2)) -1)) 3))
(exp.f64 (*.f64 (*.f64 3 (+.f64 (log1p.f64 (pow.f64 x 2)) -1)) 1/3))
(exp.f64 (*.f64 (-.f64 (log.f64 (hypot.f64 1 x)) 1/2) 2))
(exp.f64 (*.f64 (-.f64 1 (log1p.f64 (pow.f64 x 2))) -1))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 x x 1) (E.f64))))

simplify73.0ms (4.6%)

Algorithm
1×egg-herbie
Rules
972×associate-*r*
956×associate-*l*
542×sqr-pow
522×times-frac
496×associate-/l*
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02132945
15042829
213402615
357852522
Stop Event
1×node limit
Counts
74 → 94
Calls
Call 1
Inputs
(/.f64 1 (E.f64))
(+.f64 (/.f64 1 (E.f64)) (/.f64 (pow.f64 x 2) (E.f64)))
(+.f64 (/.f64 1 (E.f64)) (/.f64 (pow.f64 x 2) (E.f64)))
(+.f64 (/.f64 1 (E.f64)) (/.f64 (pow.f64 x 2) (E.f64)))
(/.f64 (pow.f64 x 2) (E.f64))
(+.f64 (/.f64 1 (E.f64)) (/.f64 (pow.f64 x 2) (E.f64)))
(+.f64 (/.f64 1 (E.f64)) (/.f64 (pow.f64 x 2) (E.f64)))
(+.f64 (/.f64 1 (E.f64)) (/.f64 (pow.f64 x 2) (E.f64)))
(/.f64 (pow.f64 x 2) (E.f64))
(+.f64 (/.f64 1 (E.f64)) (/.f64 (pow.f64 x 2) (E.f64)))
(+.f64 (/.f64 1 (E.f64)) (/.f64 (pow.f64 x 2) (E.f64)))
(+.f64 (/.f64 1 (E.f64)) (/.f64 (pow.f64 x 2) (E.f64)))
(+.f64 0 (/.f64 (fma.f64 x x 1) (E.f64)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2) (/.f64 (fma.f64 x x 1) (E.f64))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 x x 1) (E.f64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 x x 1) (E.f64))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 x x 1) (E.f64))))))
(-.f64 (+.f64 1 (/.f64 (fma.f64 x x 1) (E.f64))) 1)
(*.f64 1 (/.f64 (fma.f64 x x 1) (E.f64)))
(*.f64 (fma.f64 x x 1) (exp.f64 -1))
(*.f64 (/.f64 (fma.f64 x x 1) (E.f64)) 1)
(*.f64 (cbrt.f64 (/.f64 (fma.f64 x x 1) (E.f64))) (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 x) 4)) (exp.f64 2/3)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 x) 4)) (exp.f64 2/3)) (cbrt.f64 (/.f64 (fma.f64 x x 1) (E.f64))))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 x) 4)) (*.f64 (cbrt.f64 (fma.f64 x x 1)) (exp.f64 -1)))
(*.f64 (/.f64 (hypot.f64 1 x) (exp.f64 1/2)) (/.f64 (hypot.f64 1 x) (exp.f64 1/2)))
(*.f64 (hypot.f64 1 x) (*.f64 (hypot.f64 1 x) (exp.f64 -1)))
(*.f64 (neg.f64 (fma.f64 x x 1)) (/.f64 1 (neg.f64 (E.f64))))
(*.f64 (exp.f64 -1) (fma.f64 x x 1))
(*.f64 (exp.f64 -1) (pow.f64 (pow.f64 (hypot.f64 1 x) -2) -1))
(*.f64 (exp.f64 -2/3) (exp.f64 (-.f64 (log1p.f64 (pow.f64 x 2)) 1/3)))
(*.f64 (exp.f64 -1/2) (exp.f64 (-.f64 (log1p.f64 (pow.f64 x 2)) 1/2)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 x) 4)) 1) (/.f64 (cbrt.f64 (fma.f64 x x 1)) (E.f64)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 x) 4)) (exp.f64 1/2)) (/.f64 (cbrt.f64 (fma.f64 x x 1)) (exp.f64 1/2)))
(*.f64 (/.f64 (hypot.f64 1 x) 1) (/.f64 (hypot.f64 1 x) (E.f64)))
(*.f64 (/.f64 (hypot.f64 1 x) (exp.f64 2/3)) (/.f64 (hypot.f64 1 x) (exp.f64 1/3)))
(*.f64 (pow.f64 1 1/3) (/.f64 (fma.f64 x x 1) (E.f64)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (fma.f64 x x 1) (E.f64)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (fma.f64 x x 1) (E.f64)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (pow.f64 (hypot.f64 1 x) 6) (exp.f64 3))) 1/3) (pow.f64 (sqrt.f64 (/.f64 (pow.f64 (hypot.f64 1 x) 6) (exp.f64 3))) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 (fma.f64 x x 1) (E.f64)) (hypot.f64 1 x)) 2) 1/3) (cbrt.f64 (exp.f64 -1)))
(*.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 (hypot.f64 1 x) 4) (exp.f64 -2)) (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 x) 4)) (exp.f64 2/3))) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 (fma.f64 x x 1) (E.f64)))))
(*.f64 (pow.f64 (pow.f64 (/.f64 (fma.f64 x x 1) (E.f64)) 5/2) 1/3) (cbrt.f64 (/.f64 (hypot.f64 1 x) (exp.f64 1/2))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (E.f64) (fma.f64 x x 1))) 2) -1) (cbrt.f64 (/.f64 (fma.f64 x x 1) (E.f64))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) -2) -1) (pow.f64 (/.f64 (E.f64) (cbrt.f64 (fma.f64 x x 1))) -1))
(*.f64 (pow.f64 (/.f64 1 (hypot.f64 1 x)) -1) (pow.f64 (/.f64 (E.f64) (hypot.f64 1 x)) -1))
(*.f64 (pow.f64 (/.f64 (exp.f64 2/3) 1) -1) (pow.f64 (exp.f64 (-.f64 1/3 (log1p.f64 (pow.f64 x 2)))) -1))
(*.f64 (pow.f64 (/.f64 (exp.f64 2/3) (cbrt.f64 (pow.f64 (hypot.f64 1 x) 4))) -1) (cbrt.f64 (/.f64 (fma.f64 x x 1) (E.f64))))
(*.f64 (pow.f64 (/.f64 (exp.f64 2/3) (hypot.f64 1 x)) -1) (pow.f64 (/.f64 (exp.f64 1/3) (hypot.f64 1 x)) -1))
(*.f64 (pow.f64 (/.f64 (exp.f64 1/2) 1) -1) (pow.f64 (exp.f64 (-.f64 1/2 (log1p.f64 (pow.f64 x 2)))) -1))
(*.f64 (pow.f64 (/.f64 (exp.f64 1/2) (cbrt.f64 (pow.f64 (hypot.f64 1 x) 4))) -1) (pow.f64 (/.f64 (exp.f64 1/2) (cbrt.f64 (fma.f64 x x 1))) -1))
(*.f64 (pow.f64 (/.f64 (exp.f64 1/2) (hypot.f64 1 x)) -1) (pow.f64 (/.f64 (exp.f64 1/2) (hypot.f64 1 x)) -1))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (pow.f64 (hypot.f64 1 x) 6) (exp.f64 3)))) (cbrt.f64 (sqrt.f64 (/.f64 (pow.f64 (hypot.f64 1 x) 6) (exp.f64 3)))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 (fma.f64 x x 1) (E.f64)) (hypot.f64 1 x)) 2)) (cbrt.f64 (exp.f64 -1)))
(*.f64 (cbrt.f64 (*.f64 (*.f64 (pow.f64 (hypot.f64 1 x) 4) (exp.f64 -2)) (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 x) 4)) (exp.f64 2/3)))) (cbrt.f64 (cbrt.f64 (/.f64 (fma.f64 x x 1) (E.f64)))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 x x 1) (E.f64)) 5/2)) (cbrt.f64 (/.f64 (hypot.f64 1 x) (exp.f64 1/2))))
(pow.f64 (E.f64) (+.f64 (log1p.f64 (pow.f64 x 2)) -1))
(pow.f64 (/.f64 (fma.f64 x x 1) (E.f64)) 1)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 x x 1) (E.f64))) 3)
(pow.f64 (*.f64 (pow.f64 (hypot.f64 1 x) 4) (exp.f64 -2)) 1/2)
(pow.f64 (/.f64 (pow.f64 (hypot.f64 1 x) 6) (exp.f64 3)) 1/3)
(pow.f64 (/.f64 (hypot.f64 1 x) (exp.f64 1/2)) 2)
(pow.f64 (/.f64 (E.f64) (fma.f64 x x 1)) -1)
(pow.f64 (/.f64 (/.f64 (E.f64) (fma.f64 x x 1)) 1) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (pow.f64 x 2)) -1)) 2)) (cbrt.f64 (+.f64 (log1p.f64 (pow.f64 x 2)) -1)))
(pow.f64 (exp.f64 (sqrt.f64 (+.f64 (log1p.f64 (pow.f64 x 2)) -1))) (sqrt.f64 (+.f64 (log1p.f64 (pow.f64 x 2)) -1)))
(neg.f64 (/.f64 (fma.f64 x x 1) (neg.f64 (E.f64))))
(sqrt.f64 (*.f64 (pow.f64 (hypot.f64 1 x) 4) (exp.f64 -2)))
(log.f64 (exp.f64 (/.f64 (fma.f64 x x 1) (E.f64))))
(cbrt.f64 (/.f64 (pow.f64 (hypot.f64 1 x) 6) (exp.f64 3)))
(cbrt.f64 (/.f64 (pow.f64 (neg.f64 (fma.f64 x x 1)) 3) (pow.f64 (neg.f64 (E.f64)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 x x 1) (E.f64))))
(exp.f64 (+.f64 (log1p.f64 (pow.f64 x 2)) -1))
(exp.f64 (*.f64 (*.f64 1/3 (+.f64 (log1p.f64 (pow.f64 x 2)) -1)) 3))
(exp.f64 (*.f64 (*.f64 3 (+.f64 (log1p.f64 (pow.f64 x 2)) -1)) 1/3))
(exp.f64 (*.f64 (-.f64 (log.f64 (hypot.f64 1 x)) 1/2) 2))
(exp.f64 (*.f64 (-.f64 1 (log1p.f64 (pow.f64 x 2))) -1))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 x x 1) (E.f64))))
Outputs
(/.f64 1 (E.f64))
(exp.f64 -1)
(+.f64 (/.f64 1 (E.f64)) (/.f64 (pow.f64 x 2) (E.f64)))
(+.f64 (/.f64 (pow.f64 x 2) (E.f64)) (exp.f64 -1))
(/.f64 (fma.f64 x x 1) (E.f64))
(+.f64 (/.f64 1 (E.f64)) (/.f64 (pow.f64 x 2) (E.f64)))
(+.f64 (/.f64 (pow.f64 x 2) (E.f64)) (exp.f64 -1))
(/.f64 (fma.f64 x x 1) (E.f64))
(+.f64 (/.f64 1 (E.f64)) (/.f64 (pow.f64 x 2) (E.f64)))
(+.f64 (/.f64 (pow.f64 x 2) (E.f64)) (exp.f64 -1))
(/.f64 (fma.f64 x x 1) (E.f64))
(/.f64 (pow.f64 x 2) (E.f64))
(+.f64 (/.f64 1 (E.f64)) (/.f64 (pow.f64 x 2) (E.f64)))
(+.f64 (/.f64 (pow.f64 x 2) (E.f64)) (exp.f64 -1))
(/.f64 (fma.f64 x x 1) (E.f64))
(+.f64 (/.f64 1 (E.f64)) (/.f64 (pow.f64 x 2) (E.f64)))
(+.f64 (/.f64 (pow.f64 x 2) (E.f64)) (exp.f64 -1))
(/.f64 (fma.f64 x x 1) (E.f64))
(+.f64 (/.f64 1 (E.f64)) (/.f64 (pow.f64 x 2) (E.f64)))
(+.f64 (/.f64 (pow.f64 x 2) (E.f64)) (exp.f64 -1))
(/.f64 (fma.f64 x x 1) (E.f64))
(/.f64 (pow.f64 x 2) (E.f64))
(+.f64 (/.f64 1 (E.f64)) (/.f64 (pow.f64 x 2) (E.f64)))
(+.f64 (/.f64 (pow.f64 x 2) (E.f64)) (exp.f64 -1))
(/.f64 (fma.f64 x x 1) (E.f64))
(+.f64 (/.f64 1 (E.f64)) (/.f64 (pow.f64 x 2) (E.f64)))
(+.f64 (/.f64 (pow.f64 x 2) (E.f64)) (exp.f64 -1))
(/.f64 (fma.f64 x x 1) (E.f64))
(+.f64 (/.f64 1 (E.f64)) (/.f64 (pow.f64 x 2) (E.f64)))
(+.f64 (/.f64 (pow.f64 x 2) (E.f64)) (exp.f64 -1))
(/.f64 (fma.f64 x x 1) (E.f64))
(+.f64 0 (/.f64 (fma.f64 x x 1) (E.f64)))
(+.f64 (/.f64 1 (E.f64)) (/.f64 (pow.f64 x 2) (E.f64)))
(+.f64 (/.f64 (pow.f64 x 2) (E.f64)) (exp.f64 -1))
(/.f64 (fma.f64 x x 1) (E.f64))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2) (/.f64 (fma.f64 x x 1) (E.f64))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 x x 1) (E.f64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 x x 1) (E.f64))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 x x 1) (E.f64))))))
(+.f64 (/.f64 1 (E.f64)) (/.f64 (pow.f64 x 2) (E.f64)))
(+.f64 (/.f64 (pow.f64 x 2) (E.f64)) (exp.f64 -1))
(/.f64 (fma.f64 x x 1) (E.f64))
(-.f64 (+.f64 1 (/.f64 (fma.f64 x x 1) (E.f64))) 1)
(+.f64 (/.f64 1 (E.f64)) (/.f64 (pow.f64 x 2) (E.f64)))
(+.f64 (/.f64 (pow.f64 x 2) (E.f64)) (exp.f64 -1))
(/.f64 (fma.f64 x x 1) (E.f64))
(*.f64 1 (/.f64 (fma.f64 x x 1) (E.f64)))
(+.f64 (/.f64 1 (E.f64)) (/.f64 (pow.f64 x 2) (E.f64)))
(+.f64 (/.f64 (pow.f64 x 2) (E.f64)) (exp.f64 -1))
(/.f64 (fma.f64 x x 1) (E.f64))
(*.f64 (fma.f64 x x 1) (exp.f64 -1))
(+.f64 (/.f64 1 (E.f64)) (/.f64 (pow.f64 x 2) (E.f64)))
(+.f64 (/.f64 (pow.f64 x 2) (E.f64)) (exp.f64 -1))
(/.f64 (fma.f64 x x 1) (E.f64))
(*.f64 (/.f64 (fma.f64 x x 1) (E.f64)) 1)
(+.f64 (/.f64 1 (E.f64)) (/.f64 (pow.f64 x 2) (E.f64)))
(+.f64 (/.f64 (pow.f64 x 2) (E.f64)) (exp.f64 -1))
(/.f64 (fma.f64 x x 1) (E.f64))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 x x 1) (E.f64))) (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 x) 4)) (exp.f64 2/3)))
(/.f64 (*.f64 (cbrt.f64 (/.f64 (fma.f64 x x 1) (E.f64))) (cbrt.f64 (pow.f64 (hypot.f64 1 x) 4))) (exp.f64 2/3))
(*.f64 (/.f64 (cbrt.f64 (/.f64 (fma.f64 x x 1) (E.f64))) (exp.f64 2/3)) (cbrt.f64 (pow.f64 (hypot.f64 1 x) 4)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 x) 4)) (exp.f64 2/3)) (cbrt.f64 (/.f64 (fma.f64 x x 1) (E.f64))))
(/.f64 (*.f64 (cbrt.f64 (/.f64 (fma.f64 x x 1) (E.f64))) (cbrt.f64 (pow.f64 (hypot.f64 1 x) 4))) (exp.f64 2/3))
(*.f64 (/.f64 (cbrt.f64 (/.f64 (fma.f64 x x 1) (E.f64))) (exp.f64 2/3)) (cbrt.f64 (pow.f64 (hypot.f64 1 x) 4)))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 x) 4)) (*.f64 (cbrt.f64 (fma.f64 x x 1)) (exp.f64 -1)))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 x) 4)) (*.f64 (exp.f64 -1) (cbrt.f64 (fma.f64 x x 1))))
(*.f64 (exp.f64 -1) (*.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 x) 4)) (cbrt.f64 (fma.f64 x x 1))))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 x) 4)) (/.f64 (cbrt.f64 (fma.f64 x x 1)) (E.f64)))
(*.f64 (/.f64 (hypot.f64 1 x) (exp.f64 1/2)) (/.f64 (hypot.f64 1 x) (exp.f64 1/2)))
(pow.f64 (/.f64 (hypot.f64 1 x) (exp.f64 1/2)) 2)
(pow.f64 (*.f64 (hypot.f64 1 x) (exp.f64 -1/2)) 2)
(/.f64 (pow.f64 (hypot.f64 1 x) 2) (E.f64))
(*.f64 (hypot.f64 1 x) (*.f64 (hypot.f64 1 x) (exp.f64 -1)))
(pow.f64 (/.f64 (hypot.f64 1 x) (exp.f64 1/2)) 2)
(pow.f64 (*.f64 (hypot.f64 1 x) (exp.f64 -1/2)) 2)
(/.f64 (pow.f64 (hypot.f64 1 x) 2) (E.f64))
(*.f64 (neg.f64 (fma.f64 x x 1)) (/.f64 1 (neg.f64 (E.f64))))
(+.f64 (/.f64 1 (E.f64)) (/.f64 (pow.f64 x 2) (E.f64)))
(+.f64 (/.f64 (pow.f64 x 2) (E.f64)) (exp.f64 -1))
(/.f64 (fma.f64 x x 1) (E.f64))
(*.f64 (exp.f64 -1) (fma.f64 x x 1))
(+.f64 (/.f64 1 (E.f64)) (/.f64 (pow.f64 x 2) (E.f64)))
(+.f64 (/.f64 (pow.f64 x 2) (E.f64)) (exp.f64 -1))
(/.f64 (fma.f64 x x 1) (E.f64))
(*.f64 (exp.f64 -1) (pow.f64 (pow.f64 (hypot.f64 1 x) -2) -1))
(pow.f64 (/.f64 (hypot.f64 1 x) (exp.f64 1/2)) 2)
(pow.f64 (*.f64 (hypot.f64 1 x) (exp.f64 -1/2)) 2)
(/.f64 (pow.f64 (hypot.f64 1 x) 2) (E.f64))
(*.f64 (exp.f64 -2/3) (exp.f64 (-.f64 (log1p.f64 (pow.f64 x 2)) 1/3)))
(exp.f64 (+.f64 -2/3 (+.f64 (log1p.f64 (pow.f64 x 2)) -1/3)))
(exp.f64 (+.f64 -1 (log1p.f64 (pow.f64 x 2))))
(*.f64 (exp.f64 -1/2) (exp.f64 (-.f64 (log1p.f64 (pow.f64 x 2)) 1/2)))
(exp.f64 (+.f64 -2/3 (+.f64 (log1p.f64 (pow.f64 x 2)) -1/3)))
(exp.f64 (+.f64 -1 (log1p.f64 (pow.f64 x 2))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 x) 4)) 1) (/.f64 (cbrt.f64 (fma.f64 x x 1)) (E.f64)))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 x) 4)) (*.f64 (exp.f64 -1) (cbrt.f64 (fma.f64 x x 1))))
(*.f64 (exp.f64 -1) (*.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 x) 4)) (cbrt.f64 (fma.f64 x x 1))))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 x) 4)) (/.f64 (cbrt.f64 (fma.f64 x x 1)) (E.f64)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 x) 4)) (exp.f64 1/2)) (/.f64 (cbrt.f64 (fma.f64 x x 1)) (exp.f64 1/2)))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 x) 4)) (*.f64 (exp.f64 -1) (cbrt.f64 (fma.f64 x x 1))))
(*.f64 (exp.f64 -1) (*.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 x) 4)) (cbrt.f64 (fma.f64 x x 1))))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 x) 4)) (/.f64 (cbrt.f64 (fma.f64 x x 1)) (E.f64)))
(*.f64 (/.f64 (hypot.f64 1 x) 1) (/.f64 (hypot.f64 1 x) (E.f64)))
(pow.f64 (/.f64 (hypot.f64 1 x) (exp.f64 1/2)) 2)
(pow.f64 (*.f64 (hypot.f64 1 x) (exp.f64 -1/2)) 2)
(/.f64 (pow.f64 (hypot.f64 1 x) 2) (E.f64))
(*.f64 (/.f64 (hypot.f64 1 x) (exp.f64 2/3)) (/.f64 (hypot.f64 1 x) (exp.f64 1/3)))
(pow.f64 (/.f64 (hypot.f64 1 x) (exp.f64 1/2)) 2)
(pow.f64 (*.f64 (hypot.f64 1 x) (exp.f64 -1/2)) 2)
(/.f64 (pow.f64 (hypot.f64 1 x) 2) (E.f64))
(*.f64 (pow.f64 1 1/3) (/.f64 (fma.f64 x x 1) (E.f64)))
(+.f64 (/.f64 1 (E.f64)) (/.f64 (pow.f64 x 2) (E.f64)))
(+.f64 (/.f64 (pow.f64 x 2) (E.f64)) (exp.f64 -1))
(/.f64 (fma.f64 x x 1) (E.f64))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (fma.f64 x x 1) (E.f64)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (fma.f64 x x 1) (E.f64)))) 3))
(+.f64 (/.f64 1 (E.f64)) (/.f64 (pow.f64 x 2) (E.f64)))
(+.f64 (/.f64 (pow.f64 x 2) (E.f64)) (exp.f64 -1))
(/.f64 (fma.f64 x x 1) (E.f64))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (pow.f64 (hypot.f64 1 x) 6) (exp.f64 3))) 1/3) (pow.f64 (sqrt.f64 (/.f64 (pow.f64 (hypot.f64 1 x) 6) (exp.f64 3))) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (pow.f64 (hypot.f64 1 x) 6) (exp.f64 3)))) (cbrt.f64 (sqrt.f64 (/.f64 (pow.f64 (hypot.f64 1 x) 6) (exp.f64 3)))))
(pow.f64 (pow.f64 (sqrt.f64 (/.f64 (pow.f64 (hypot.f64 1 x) 6) (exp.f64 3))) 1/6) 4)
(*.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 (fma.f64 x x 1) (E.f64)) (hypot.f64 1 x)) 2) 1/3) (cbrt.f64 (exp.f64 -1)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 (fma.f64 x x 1) (E.f64)) (hypot.f64 1 x)) 2)) (cbrt.f64 (exp.f64 -1)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (fma.f64 x x 1) (/.f64 (hypot.f64 1 x) (E.f64))) 2)) (cbrt.f64 (exp.f64 -1)))
(*.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 (hypot.f64 1 x) 4) (exp.f64 -2)) (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 x) 4)) (exp.f64 2/3))) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 (fma.f64 x x 1) (E.f64)))))
(*.f64 (cbrt.f64 (*.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 x) 4)) (exp.f64 2/3)) (*.f64 (pow.f64 (hypot.f64 1 x) 4) (exp.f64 -2)))) (cbrt.f64 (cbrt.f64 (/.f64 (fma.f64 x x 1) (E.f64)))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 1 x) 4) (*.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 x) 4)) (exp.f64 2/3)) (exp.f64 -2)))) (cbrt.f64 (cbrt.f64 (/.f64 (fma.f64 x x 1) (E.f64)))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 1 x) 4) (/.f64 (exp.f64 -2) (/.f64 (exp.f64 2/3) (cbrt.f64 (pow.f64 (hypot.f64 1 x) 4)))))) (cbrt.f64 (cbrt.f64 (/.f64 (fma.f64 x x 1) (E.f64)))))
(*.f64 (pow.f64 (pow.f64 (/.f64 (fma.f64 x x 1) (E.f64)) 5/2) 1/3) (cbrt.f64 (/.f64 (hypot.f64 1 x) (exp.f64 1/2))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 x x 1) (E.f64)) 5/2)) (cbrt.f64 (/.f64 (hypot.f64 1 x) (exp.f64 1/2))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 x x 1) (E.f64)) 5/2)) (cbrt.f64 (*.f64 (hypot.f64 1 x) (exp.f64 -1/2))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (E.f64) (fma.f64 x x 1))) 2) -1) (cbrt.f64 (/.f64 (fma.f64 x x 1) (E.f64))))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 x x 1) (E.f64))) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (E.f64) (fma.f64 x x 1))) 2)))
(/.f64 (*.f64 1 (cbrt.f64 (/.f64 (fma.f64 x x 1) (E.f64)))) (pow.f64 (cbrt.f64 (/.f64 (E.f64) (fma.f64 x x 1))) 2))
(/.f64 (cbrt.f64 (/.f64 (fma.f64 x x 1) (E.f64))) (pow.f64 (cbrt.f64 (/.f64 (E.f64) (fma.f64 x x 1))) 2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) -2) -1) (pow.f64 (/.f64 (E.f64) (cbrt.f64 (fma.f64 x x 1))) -1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) -2)) (/.f64 1 (/.f64 (E.f64) (cbrt.f64 (fma.f64 x x 1)))))
(/.f64 (*.f64 (*.f64 (exp.f64 -1) (cbrt.f64 (fma.f64 x x 1))) 1) (pow.f64 (cbrt.f64 (fma.f64 x x 1)) -2))
(/.f64 (/.f64 (cbrt.f64 (fma.f64 x x 1)) (E.f64)) (pow.f64 (cbrt.f64 (fma.f64 x x 1)) -2))
(*.f64 (pow.f64 (/.f64 1 (hypot.f64 1 x)) -1) (pow.f64 (/.f64 (E.f64) (hypot.f64 1 x)) -1))
(pow.f64 (/.f64 (hypot.f64 1 x) (exp.f64 1/2)) 2)
(pow.f64 (*.f64 (hypot.f64 1 x) (exp.f64 -1/2)) 2)
(/.f64 (pow.f64 (hypot.f64 1 x) 2) (E.f64))
(*.f64 (pow.f64 (/.f64 (exp.f64 2/3) 1) -1) (pow.f64 (exp.f64 (-.f64 1/3 (log1p.f64 (pow.f64 x 2)))) -1))
(exp.f64 (+.f64 -2/3 (+.f64 (log1p.f64 (pow.f64 x 2)) -1/3)))
(exp.f64 (+.f64 -1 (log1p.f64 (pow.f64 x 2))))
(*.f64 (pow.f64 (/.f64 (exp.f64 2/3) (cbrt.f64 (pow.f64 (hypot.f64 1 x) 4))) -1) (cbrt.f64 (/.f64 (fma.f64 x x 1) (E.f64))))
(/.f64 (*.f64 (cbrt.f64 (/.f64 (fma.f64 x x 1) (E.f64))) (cbrt.f64 (pow.f64 (hypot.f64 1 x) 4))) (exp.f64 2/3))
(*.f64 (/.f64 (cbrt.f64 (/.f64 (fma.f64 x x 1) (E.f64))) (exp.f64 2/3)) (cbrt.f64 (pow.f64 (hypot.f64 1 x) 4)))
(*.f64 (pow.f64 (/.f64 (exp.f64 2/3) (hypot.f64 1 x)) -1) (pow.f64 (/.f64 (exp.f64 1/3) (hypot.f64 1 x)) -1))
(pow.f64 (/.f64 (hypot.f64 1 x) (exp.f64 1/2)) 2)
(pow.f64 (*.f64 (hypot.f64 1 x) (exp.f64 -1/2)) 2)
(/.f64 (pow.f64 (hypot.f64 1 x) 2) (E.f64))
(*.f64 (pow.f64 (/.f64 (exp.f64 1/2) 1) -1) (pow.f64 (exp.f64 (-.f64 1/2 (log1p.f64 (pow.f64 x 2)))) -1))
(exp.f64 (+.f64 -2/3 (+.f64 (log1p.f64 (pow.f64 x 2)) -1/3)))
(exp.f64 (+.f64 -1 (log1p.f64 (pow.f64 x 2))))
(*.f64 (pow.f64 (/.f64 (exp.f64 1/2) (cbrt.f64 (pow.f64 (hypot.f64 1 x) 4))) -1) (pow.f64 (/.f64 (exp.f64 1/2) (cbrt.f64 (fma.f64 x x 1))) -1))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 x) 4)) (*.f64 (exp.f64 -1) (cbrt.f64 (fma.f64 x x 1))))
(*.f64 (exp.f64 -1) (*.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 x) 4)) (cbrt.f64 (fma.f64 x x 1))))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 x) 4)) (/.f64 (cbrt.f64 (fma.f64 x x 1)) (E.f64)))
(*.f64 (pow.f64 (/.f64 (exp.f64 1/2) (hypot.f64 1 x)) -1) (pow.f64 (/.f64 (exp.f64 1/2) (hypot.f64 1 x)) -1))
(pow.f64 (/.f64 (hypot.f64 1 x) (exp.f64 1/2)) 2)
(pow.f64 (*.f64 (hypot.f64 1 x) (exp.f64 -1/2)) 2)
(/.f64 (pow.f64 (hypot.f64 1 x) 2) (E.f64))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (pow.f64 (hypot.f64 1 x) 6) (exp.f64 3)))) (cbrt.f64 (sqrt.f64 (/.f64 (pow.f64 (hypot.f64 1 x) 6) (exp.f64 3)))))
(pow.f64 (pow.f64 (sqrt.f64 (/.f64 (pow.f64 (hypot.f64 1 x) 6) (exp.f64 3))) 1/6) 4)
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 (fma.f64 x x 1) (E.f64)) (hypot.f64 1 x)) 2)) (cbrt.f64 (exp.f64 -1)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (fma.f64 x x 1) (/.f64 (hypot.f64 1 x) (E.f64))) 2)) (cbrt.f64 (exp.f64 -1)))
(*.f64 (cbrt.f64 (*.f64 (*.f64 (pow.f64 (hypot.f64 1 x) 4) (exp.f64 -2)) (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 x) 4)) (exp.f64 2/3)))) (cbrt.f64 (cbrt.f64 (/.f64 (fma.f64 x x 1) (E.f64)))))
(*.f64 (cbrt.f64 (*.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 x) 4)) (exp.f64 2/3)) (*.f64 (pow.f64 (hypot.f64 1 x) 4) (exp.f64 -2)))) (cbrt.f64 (cbrt.f64 (/.f64 (fma.f64 x x 1) (E.f64)))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 1 x) 4) (*.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 x) 4)) (exp.f64 2/3)) (exp.f64 -2)))) (cbrt.f64 (cbrt.f64 (/.f64 (fma.f64 x x 1) (E.f64)))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 1 x) 4) (/.f64 (exp.f64 -2) (/.f64 (exp.f64 2/3) (cbrt.f64 (pow.f64 (hypot.f64 1 x) 4)))))) (cbrt.f64 (cbrt.f64 (/.f64 (fma.f64 x x 1) (E.f64)))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 x x 1) (E.f64)) 5/2)) (cbrt.f64 (/.f64 (hypot.f64 1 x) (exp.f64 1/2))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 x x 1) (E.f64)) 5/2)) (cbrt.f64 (*.f64 (hypot.f64 1 x) (exp.f64 -1/2))))
(pow.f64 (E.f64) (+.f64 (log1p.f64 (pow.f64 x 2)) -1))
(exp.f64 (+.f64 -2/3 (+.f64 (log1p.f64 (pow.f64 x 2)) -1/3)))
(exp.f64 (+.f64 -1 (log1p.f64 (pow.f64 x 2))))
(pow.f64 (/.f64 (fma.f64 x x 1) (E.f64)) 1)
(+.f64 (/.f64 1 (E.f64)) (/.f64 (pow.f64 x 2) (E.f64)))
(+.f64 (/.f64 (pow.f64 x 2) (E.f64)) (exp.f64 -1))
(/.f64 (fma.f64 x x 1) (E.f64))
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 x x 1) (E.f64))) 3)
(+.f64 (/.f64 1 (E.f64)) (/.f64 (pow.f64 x 2) (E.f64)))
(+.f64 (/.f64 (pow.f64 x 2) (E.f64)) (exp.f64 -1))
(/.f64 (fma.f64 x x 1) (E.f64))
(pow.f64 (*.f64 (pow.f64 (hypot.f64 1 x) 4) (exp.f64 -2)) 1/2)
(sqrt.f64 (*.f64 (pow.f64 (hypot.f64 1 x) 4) (exp.f64 -2)))
(pow.f64 (/.f64 (pow.f64 (hypot.f64 1 x) 6) (exp.f64 3)) 1/3)
(cbrt.f64 (/.f64 (pow.f64 (hypot.f64 1 x) 6) (exp.f64 3)))
(pow.f64 (/.f64 (hypot.f64 1 x) (exp.f64 1/2)) 2)
(pow.f64 (*.f64 (hypot.f64 1 x) (exp.f64 -1/2)) 2)
(/.f64 (pow.f64 (hypot.f64 1 x) 2) (E.f64))
(pow.f64 (/.f64 (E.f64) (fma.f64 x x 1)) -1)
(+.f64 (/.f64 1 (E.f64)) (/.f64 (pow.f64 x 2) (E.f64)))
(+.f64 (/.f64 (pow.f64 x 2) (E.f64)) (exp.f64 -1))
(/.f64 (fma.f64 x x 1) (E.f64))
(pow.f64 (/.f64 (/.f64 (E.f64) (fma.f64 x x 1)) 1) -1)
(+.f64 (/.f64 1 (E.f64)) (/.f64 (pow.f64 x 2) (E.f64)))
(+.f64 (/.f64 (pow.f64 x 2) (E.f64)) (exp.f64 -1))
(/.f64 (fma.f64 x x 1) (E.f64))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (pow.f64 x 2)) -1)) 2)) (cbrt.f64 (+.f64 (log1p.f64 (pow.f64 x 2)) -1)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (log1p.f64 (pow.f64 x 2)))) 2)) (cbrt.f64 (+.f64 -1 (log1p.f64 (pow.f64 x 2)))))
(pow.f64 (exp.f64 (sqrt.f64 (+.f64 (log1p.f64 (pow.f64 x 2)) -1))) (sqrt.f64 (+.f64 (log1p.f64 (pow.f64 x 2)) -1)))
(pow.f64 (exp.f64 (sqrt.f64 (+.f64 -1 (log1p.f64 (pow.f64 x 2))))) (sqrt.f64 (+.f64 -1 (log1p.f64 (pow.f64 x 2)))))
(neg.f64 (/.f64 (fma.f64 x x 1) (neg.f64 (E.f64))))
(+.f64 (/.f64 1 (E.f64)) (/.f64 (pow.f64 x 2) (E.f64)))
(+.f64 (/.f64 (pow.f64 x 2) (E.f64)) (exp.f64 -1))
(/.f64 (fma.f64 x x 1) (E.f64))
(sqrt.f64 (*.f64 (pow.f64 (hypot.f64 1 x) 4) (exp.f64 -2)))
(log.f64 (exp.f64 (/.f64 (fma.f64 x x 1) (E.f64))))
(+.f64 (/.f64 1 (E.f64)) (/.f64 (pow.f64 x 2) (E.f64)))
(+.f64 (/.f64 (pow.f64 x 2) (E.f64)) (exp.f64 -1))
(/.f64 (fma.f64 x x 1) (E.f64))
(cbrt.f64 (/.f64 (pow.f64 (hypot.f64 1 x) 6) (exp.f64 3)))
(cbrt.f64 (/.f64 (pow.f64 (neg.f64 (fma.f64 x x 1)) 3) (pow.f64 (neg.f64 (E.f64)) 3)))
(cbrt.f64 (/.f64 (neg.f64 (pow.f64 (fma.f64 x x 1) 3)) (pow.f64 (neg.f64 (E.f64)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 -1 (pow.f64 x 2)) 3) (pow.f64 (neg.f64 (E.f64)) 3)))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 x x 1) (E.f64)) 3))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 x x 1) (E.f64))))
(+.f64 (/.f64 1 (E.f64)) (/.f64 (pow.f64 x 2) (E.f64)))
(+.f64 (/.f64 (pow.f64 x 2) (E.f64)) (exp.f64 -1))
(/.f64 (fma.f64 x x 1) (E.f64))
(exp.f64 (+.f64 (log1p.f64 (pow.f64 x 2)) -1))
(exp.f64 (+.f64 -2/3 (+.f64 (log1p.f64 (pow.f64 x 2)) -1/3)))
(exp.f64 (+.f64 -1 (log1p.f64 (pow.f64 x 2))))
(exp.f64 (*.f64 (*.f64 1/3 (+.f64 (log1p.f64 (pow.f64 x 2)) -1)) 3))
(exp.f64 (+.f64 -2/3 (+.f64 (log1p.f64 (pow.f64 x 2)) -1/3)))
(exp.f64 (+.f64 -1 (log1p.f64 (pow.f64 x 2))))
(exp.f64 (*.f64 (*.f64 3 (+.f64 (log1p.f64 (pow.f64 x 2)) -1)) 1/3))
(exp.f64 (+.f64 -2/3 (+.f64 (log1p.f64 (pow.f64 x 2)) -1/3)))
(exp.f64 (+.f64 -1 (log1p.f64 (pow.f64 x 2))))
(exp.f64 (*.f64 (-.f64 (log.f64 (hypot.f64 1 x)) 1/2) 2))
(pow.f64 (/.f64 (hypot.f64 1 x) (exp.f64 1/2)) 2)
(pow.f64 (*.f64 (hypot.f64 1 x) (exp.f64 -1/2)) 2)
(/.f64 (pow.f64 (hypot.f64 1 x) 2) (E.f64))
(exp.f64 (*.f64 (-.f64 1 (log1p.f64 (pow.f64 x 2))) -1))
(exp.f64 (+.f64 -2/3 (+.f64 (log1p.f64 (pow.f64 x 2)) -1/3)))
(exp.f64 (+.f64 -1 (log1p.f64 (pow.f64 x 2))))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 x x 1) (E.f64))))
(+.f64 (/.f64 1 (E.f64)) (/.f64 (pow.f64 x 2) (E.f64)))
(+.f64 (/.f64 (pow.f64 x 2) (E.f64)) (exp.f64 -1))
(/.f64 (fma.f64 x x 1) (E.f64))

eval38.0ms (2.4%)

Compiler

Compiled 1285 to 1010 computations (21.4% saved)

prune14.0ms (0.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New94094
Fresh000
Picked022
Done011
Total94397
Accuracy
100.0%
Counts
97 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓76.7%
(/.f64 (fma.f64 x x 1) (E.f64))
✓100.0%
(exp.f64 (+.f64 (*.f64 x x) -1))
✓50.4%
(exp.f64 -1)
Compiler

Compiled 39 to 28 computations (28.2% 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 (fma.f64 x x 1) (E.f64))
Outputs
(exp.f64 (+.f64 (*.f64 x x) -1))
Calls

5 calls:

4.0ms
x
3.0ms
(*.f64 x x)
3.0ms
(exp.f64 (neg.f64 (-.f64 1 (*.f64 x x))))
2.0ms
(-.f64 1 (*.f64 x x))
2.0ms
(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 49 to 33 computations (32.7% saved)

regimes3.0ms (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:

3.0ms
x
Results
AccuracySegmentsBranch
50.4%1x
Compiler

Compiled 5 to 4 computations (20% saved)

simplify2.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01128
11228
Stop Event
1×done
1×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)

soundness103.0ms (6.5%)

Rules
1996×fma-def
1492×div-sub
1302×times-frac
666×associate-*r/
518×fma-neg
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01681
14069
28169
315857
429257
562557
6205357
7573757
Stop Event
1×node limit
Compiler

Compiled 59 to 31 computations (47.5% saved)

end0.0ms (0%)

preprocess24.0ms (1.5%)

Remove

(abs x)

Compiler

Compiled 48 to 36 computations (25% saved)

Profiling

Loading profile data...