Rust f64::atanh

Time bar (total: 1.8s)

analyze2.0ms (0.1%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
0%0%50%0%0%50%0%3
50%25%25%0%0%50%0%4
75%37.5%12.5%0%0%50%0%5
87.5%43.7%6.2%0%0%50%0%6
93.8%46.9%3.1%0%0%50%0%7
96.9%48.4%1.6%0%0%50%0%8
98.4%49.2%0.8%0%0%50%0%9
99.2%49.6%0.4%0%0%50%0%10
99.6%49.8%0.2%0%0%50%0%11
99.8%49.9%0.1%0%0%50%0%12
Compiler

Compiled 4 to 3 computations (25% saved)

sample672.0ms (36.4%)

Results
662.0ms8256×body256valid
0.0ms1×body256invalid
Bogosity

preprocess176.0ms (9.5%)

Algorithm
1×egg-herbie
Rules
2056×fma-def
498×times-frac
478×div-sub
412×associate-/r*
384×associate-*r*
Problems
256×No Errors
Iterations

Useful iterations: 7 (0.0ms)

IterNodesCost
01871
13071
24368
36368
48668
511268
618468
730667
840467
956867
1071167
1190167
12118867
13199067
14319967
15381667
16384867
17388067
18392067
19392067
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 1/2 (log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))))
(atanh.f64 x)
(atanh.f64 (neg.f64 x))
(neg.f64 (atanh.f64 (neg.f64 x)))
Outputs
(*.f64 1/2 (log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))))
(*.f64 1/2 (log1p.f64 (/.f64 2 (/.f64 (-.f64 1 x) x))))
(*.f64 1/2 (log1p.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x)))
(*.f64 1/2 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))
(*.f64 1/2 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))))
(*.f64 1/2 (log1p.f64 (/.f64 x (fma.f64 -1/2 x 1/2))))
(*.f64 1/2 (log1p.f64 (/.f64 x (fma.f64 x -1/2 1/2))))
(atanh.f64 x)
(atanh.f64 (neg.f64 x))
(neg.f64 (atanh.f64 (neg.f64 x)))
Compiler

Compiled 48 to 37 computations (22.9% saved)

eval2.0ms (0.1%)

Compiler

Compiled 59 to 49 computations (16.9% saved)

prune3.0ms (0.2%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.7%
(*.f64 1/2 (log1p.f64 (/.f64 2 (/.f64 (-.f64 1 x) x))))
▶100.0%
(*.f64 1/2 (log1p.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x)))
▶99.7%
(*.f64 1/2 (log1p.f64 (/.f64 2 (/.f64 (-.f64 1 x) x))))
▶100.0%
(*.f64 1/2 (log1p.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x)))
Compiler

Compiled 44 to 36 computations (18.2% saved)

localize119.0ms (6.4%)

Localize:

Found 4 expressions with local error:

NewAccuracyProgram
✓100.0%
(/.f64 (-.f64 1 x) x)
✓99.7%
(/.f64 2 (/.f64 (-.f64 1 x) x))
✓100.0%
(/.f64 2 (-.f64 1 x))
✓100.0%
(*.f64 (/.f64 2 (-.f64 1 x)) x)
Compiler

Compiled 76 to 57 computations (25% saved)

series3.0ms (0.1%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
0.0ms
x
@-inf
(/.f64 (-.f64 1 x) x)
0.0ms
x
@inf
(*.f64 (/.f64 2 (-.f64 1 x)) x)
0.0ms
x
@inf
(/.f64 (-.f64 1 x) x)
0.0ms
x
@0
(*.f64 (/.f64 2 (-.f64 1 x)) x)
0.0ms
x
@0
(/.f64 (-.f64 1 x) x)

rewrite126.0ms (6.8%)

Algorithm
1×batch-egg-rewrite
Rules
782×log1p-expm1-u
781×expm1-log1p-u
750×log-prod
490×pow-prod-down
406×log-div
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01285
116376
2214076
Stop Event
1×node limit
Counts
4 → 172
Calls
Call 1
Inputs
(*.f64 (/.f64 2 (-.f64 1 x)) x)
(/.f64 2 (-.f64 1 x))
(/.f64 2 (/.f64 (-.f64 1 x) x))
(/.f64 (-.f64 1 x) x)
Outputs
(+.f64 0 (/.f64 2 (+.f64 (/.f64 1 x) -1)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))) (cbrt.f64 (exp.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))) 1)
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(/.f64 2 (neg.f64 (neg.f64 (+.f64 (/.f64 1 x) -1))))
(/.f64 1 (-.f64 (/.f64 (/.f64 1 x) 2) 1/2))
(/.f64 1 (/.f64 (-.f64 (/.f64 (/.f64 1 x) 2) 1/2) 1))
(/.f64 x (-.f64 1/2 (/.f64 x 2)))
(/.f64 (/.f64 2 (-.f64 1 x)) (/.f64 1 x))
(/.f64 -2 (neg.f64 (+.f64 (/.f64 1 x) -1)))
(/.f64 (*.f64 2 x) (-.f64 1 x))
(/.f64 -1 (neg.f64 (-.f64 (/.f64 (/.f64 1 x) 2) 1/2)))
(/.f64 (neg.f64 (*.f64 2 x)) (neg.f64 (-.f64 1 x)))
(/.f64 (*.f64 x -2) (neg.f64 (-.f64 1 x)))
(/.f64 (*.f64 -2 x) (neg.f64 (-.f64 1 x)))
(/.f64 (/.f64 2 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) -1)) 2)) (cbrt.f64 (+.f64 (/.f64 1 x) -1)))
(/.f64 (/.f64 2 (sqrt.f64 (+.f64 (/.f64 1 x) -1))) (sqrt.f64 (+.f64 (/.f64 1 x) -1)))
(/.f64 (/.f64 (*.f64 2 x) 1) (-.f64 1 x))
(/.f64 (/.f64 (*.f64 2 x) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (cbrt.f64 (-.f64 1 x)))
(/.f64 (/.f64 (*.f64 2 x) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x)))
(pow.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)) 1)
(pow.f64 (cbrt.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 3)
(pow.f64 (pow.f64 (-.f64 (/.f64 (/.f64 1 x) 2) 1/2) -2) 1/2)
(pow.f64 (pow.f64 (-.f64 (/.f64 (/.f64 1 x) 2) 1/2) -3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 2)
(pow.f64 (-.f64 (/.f64 (/.f64 1 x) 2) 1/2) -1)
(pow.f64 (/.f64 (-.f64 (/.f64 (/.f64 1 x) 2) 1/2) 1) -1)
(sqrt.f64 (pow.f64 (-.f64 (/.f64 (/.f64 1 x) 2) 1/2) -2))
(log.f64 (exp.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))))
(cbrt.f64 (pow.f64 (-.f64 (/.f64 (/.f64 1 x) 2) 1/2) -3))
(expm1.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))
(exp.f64 (log.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))
(exp.f64 (*.f64 (log.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (/.f64 (/.f64 1 x) 2) 1/2) -3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))) 2))
(exp.f64 (*.f64 (log.f64 (-.f64 (/.f64 (/.f64 1 x) 2) 1/2)) -1))
(log1p.f64 (expm1.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))
(+.f64 0 (/.f64 2 (-.f64 1 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 2 (-.f64 1 x)))) (cbrt.f64 (exp.f64 (/.f64 2 (-.f64 1 x)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 2 (-.f64 1 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 2 (-.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 2 (-.f64 1 x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 2 (-.f64 1 x)))) 1)
(*.f64 2 (/.f64 1 (-.f64 1 x)))
(*.f64 1 (/.f64 2 (-.f64 1 x)))
(*.f64 (/.f64 2 (-.f64 1 x)) 1)
(*.f64 (cbrt.f64 (/.f64 2 (-.f64 1 x))) (cbrt.f64 (pow.f64 (-.f64 1/2 (/.f64 x 2)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1/2 (/.f64 x 2)) -2)) (cbrt.f64 (/.f64 2 (-.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 2 (-.f64 1 x))) (sqrt.f64 (/.f64 2 (-.f64 1 x))))
(*.f64 -2 (/.f64 1 (neg.f64 (-.f64 1 x))))
(*.f64 (/.f64 1 (-.f64 1 x)) 2)
(*.f64 (/.f64 1 (-.f64 1 x)) (log.f64 (exp.f64 2)))
(*.f64 (/.f64 2 (-.f64 1 (pow.f64 x 3))) (fma.f64 x (+.f64 1 x) 1))
(*.f64 (/.f64 2 (-.f64 1 (pow.f64 x 2))) (+.f64 1 x))
(pow.f64 (/.f64 2 (-.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (/.f64 2 (-.f64 1 x))) 3)
(pow.f64 (pow.f64 (-.f64 1/2 (/.f64 x 2)) -2) 1/2)
(pow.f64 (pow.f64 (-.f64 1/2 (/.f64 x 2)) -3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 2 (-.f64 1 x))) 2)
(pow.f64 (-.f64 1/2 (/.f64 x 2)) -1)
(pow.f64 (/.f64 (-.f64 1/2 (/.f64 x 2)) 1) -1)
(sqrt.f64 (pow.f64 (-.f64 1/2 (/.f64 x 2)) -2))
(log.f64 (exp.f64 (/.f64 2 (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 2 (-.f64 1 x)))))
(cbrt.f64 (pow.f64 (-.f64 1/2 (/.f64 x 2)) -3))
(expm1.f64 (log1p.f64 (/.f64 2 (-.f64 1 x))))
(exp.f64 (log.f64 (/.f64 2 (-.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 2 (-.f64 1 x))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 2 (-.f64 1 x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 2 (-.f64 1 x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 2 (-.f64 1 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 2 (-.f64 1 x)))) 2))
(exp.f64 (*.f64 (log.f64 (-.f64 1/2 (/.f64 x 2))) -1))
(log1p.f64 (expm1.f64 (/.f64 2 (-.f64 1 x))))
(+.f64 0 (/.f64 2 (+.f64 (/.f64 1 x) -1)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))) (cbrt.f64 (exp.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))) 1)
(*.f64 2 (/.f64 x (-.f64 1 x)))
(*.f64 1 (/.f64 2 (+.f64 (/.f64 1 x) -1)))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(*.f64 (/.f64 2 (-.f64 1 x)) x)
(*.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)) 1)
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 2 (-.f64 1 x))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1/2 (/.f64 x 2)) -2)) (*.f64 (cbrt.f64 (/.f64 2 (-.f64 1 x))) x))
(*.f64 (cbrt.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) (cbrt.f64 (pow.f64 (-.f64 (/.f64 (/.f64 1 x) 2) 1/2) -2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (/.f64 (/.f64 1 x) 2) 1/2) -2)) (cbrt.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 2 (-.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 2 (-.f64 1 x))) (*.f64 (sqrt.f64 (/.f64 2 (-.f64 1 x))) x))
(*.f64 (sqrt.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) (sqrt.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))
(*.f64 -2 (/.f64 1 (neg.f64 (+.f64 (/.f64 1 x) -1))))
(*.f64 (/.f64 x (-.f64 1 x)) 2)
(*.f64 (/.f64 x (-.f64 1 x)) (log.f64 (exp.f64 2)))
(*.f64 (*.f64 2 x) (/.f64 1 (-.f64 1 x)))
(*.f64 (/.f64 2 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 x (cbrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 2 (sqrt.f64 (-.f64 1 x))) (/.f64 x (sqrt.f64 (-.f64 1 x))))
(*.f64 (*.f64 x (cbrt.f64 (pow.f64 (-.f64 1/2 (/.f64 x 2)) -2))) (cbrt.f64 (/.f64 2 (-.f64 1 x))))
(*.f64 (*.f64 x (sqrt.f64 (/.f64 2 (-.f64 1 x)))) (sqrt.f64 (/.f64 2 (-.f64 1 x))))
(*.f64 (*.f64 (/.f64 2 (-.f64 1 x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (*.f64 (/.f64 2 (-.f64 1 x)) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (/.f64 2 (neg.f64 (-.f64 1 x))) (neg.f64 x))
(*.f64 (/.f64 (*.f64 2 x) (-.f64 1 (pow.f64 x 3))) (fma.f64 x (+.f64 1 x) 1))
(*.f64 (/.f64 (*.f64 2 x) (-.f64 1 (pow.f64 x 2))) (+.f64 1 x))
(pow.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)) 1)
(pow.f64 (cbrt.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 3)
(pow.f64 (pow.f64 (-.f64 (/.f64 (/.f64 1 x) 2) 1/2) -2) 1/2)
(pow.f64 (pow.f64 (-.f64 (/.f64 (/.f64 1 x) 2) 1/2) -3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 2)
(pow.f64 (-.f64 (/.f64 (/.f64 1 x) 2) 1/2) -1)
(pow.f64 (/.f64 (-.f64 (/.f64 (/.f64 1 x) 2) 1/2) 1) -1)
(sqrt.f64 (pow.f64 (-.f64 (/.f64 (/.f64 1 x) 2) 1/2) -2))
(log.f64 (exp.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))))
(cbrt.f64 (pow.f64 (-.f64 (/.f64 (/.f64 1 x) 2) 1/2) -3))
(expm1.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))
(exp.f64 (log.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))
(exp.f64 (*.f64 (log.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (/.f64 (/.f64 1 x) 2) 1/2) -3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))) 2))
(exp.f64 (*.f64 (log.f64 (-.f64 (/.f64 (/.f64 1 x) 2) 1/2)) -1))
(log1p.f64 (expm1.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))
(+.f64 0 (+.f64 (/.f64 1 x) -1))
(+.f64 (/.f64 1 x) -1)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 1 x) -1))) (cbrt.f64 (exp.f64 (+.f64 (/.f64 1 x) -1))))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 1 x) -1)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 1 x) -1)))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 1 x) -1)))))
(-.f64 (/.f64 1 x) 1)
(*.f64 1 (+.f64 (/.f64 1 x) -1))
(*.f64 (-.f64 1 x) (/.f64 1 x))
(*.f64 (+.f64 (/.f64 1 x) -1) 1)
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (*.f64 (cbrt.f64 (-.f64 1 x)) (/.f64 1 x)))
(*.f64 (cbrt.f64 (+.f64 (/.f64 1 x) -1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) -1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) -1)) 2) (cbrt.f64 (+.f64 (/.f64 1 x) -1)))
(*.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 1 x)))
(*.f64 (sqrt.f64 (+.f64 (/.f64 1 x) -1)) (sqrt.f64 (+.f64 (/.f64 1 x) -1)))
(*.f64 (neg.f64 (-.f64 1 x)) (/.f64 1 (neg.f64 x)))
(*.f64 (/.f64 1 x) (-.f64 1 x))
(*.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 (-.f64 1 x) (cbrt.f64 x)))
(*.f64 (pow.f64 x -1/2) (/.f64 (-.f64 1 x) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 x)) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (+.f64 (/.f64 1 x) -1)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (-.f64 1 x)) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) 1) (/.f64 (sqrt.f64 (-.f64 1 x)) x))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 x)))
(pow.f64 (+.f64 (/.f64 1 x) -1) 1)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) -1)) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 1 x) -1) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 (/.f64 1 x) -1) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 1 x) -1)) 2)
(pow.f64 (/.f64 x (-.f64 1 x)) -1)
(pow.f64 (/.f64 (/.f64 x (-.f64 1 x)) 1) -1)
(neg.f64 (/.f64 (-.f64 1 x) (neg.f64 x)))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 1 x) -1) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 1 x) -1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 1 x) -1))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 1 x) -1) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 x 3)))
(expm1.f64 (neg.f64 (log.f64 x)))
(exp.f64 (log.f64 (+.f64 (/.f64 1 x) -1)))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 1 x) -1)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (/.f64 1 x) -1)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (/.f64 1 x) -1))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 (/.f64 1 x) -1))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (/.f64 1 x) -1))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 x (-.f64 1 x))) -1))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 1 x) -1)))
(fma.f64 1 (/.f64 1 x) -1)
(fma.f64 (*.f64 (cbrt.f64 (/.f64 1 x)) (cbrt.f64 (/.f64 1 x))) (cbrt.f64 (/.f64 1 x)) -1)
(fma.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 (/.f64 1 x)) -1)

simplify96.0ms (5.2%)

Algorithm
1×egg-herbie
Rules
1528×times-frac
710×distribute-lft-in
690×distribute-rgt-in
506×unswap-sqr
462×associate-*r/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03665654
18505311
225745120
Stop Event
1×node limit
Counts
220 → 229
Calls
Call 1
Inputs
(*.f64 2 x)
(+.f64 (*.f64 2 x) (*.f64 2 (pow.f64 x 2)))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 2 (pow.f64 x 3))))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 (pow.f64 x 3)) (*.f64 2 (pow.f64 x 4)))))
-2
(neg.f64 (+.f64 2 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 2 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 2 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
-2
(neg.f64 (+.f64 2 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 2 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 2 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
2
(+.f64 2 (*.f64 2 x))
(+.f64 2 (+.f64 (*.f64 2 x) (*.f64 2 (pow.f64 x 2))))
(+.f64 2 (+.f64 (*.f64 2 x) (+.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 2 (pow.f64 x 3)))))
(/.f64 -2 x)
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x)))))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 x))))))
(/.f64 -2 x)
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x)))))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 x))))))
(*.f64 2 x)
(+.f64 (*.f64 2 x) (*.f64 2 (pow.f64 x 2)))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 2 (pow.f64 x 3))))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 (pow.f64 x 3)) (*.f64 2 (pow.f64 x 4)))))
-2
(neg.f64 (+.f64 2 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 2 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 2 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
-2
(neg.f64 (+.f64 2 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 2 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 2 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) 1)
(-.f64 (/.f64 1 x) 1)
(-.f64 (/.f64 1 x) 1)
-1
(-.f64 (/.f64 1 x) 1)
(-.f64 (/.f64 1 x) 1)
(-.f64 (/.f64 1 x) 1)
-1
(-.f64 (/.f64 1 x) 1)
(-.f64 (/.f64 1 x) 1)
(-.f64 (/.f64 1 x) 1)
(+.f64 0 (/.f64 2 (+.f64 (/.f64 1 x) -1)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))) (cbrt.f64 (exp.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))) 1)
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(/.f64 2 (neg.f64 (neg.f64 (+.f64 (/.f64 1 x) -1))))
(/.f64 1 (-.f64 (/.f64 (/.f64 1 x) 2) 1/2))
(/.f64 1 (/.f64 (-.f64 (/.f64 (/.f64 1 x) 2) 1/2) 1))
(/.f64 x (-.f64 1/2 (/.f64 x 2)))
(/.f64 (/.f64 2 (-.f64 1 x)) (/.f64 1 x))
(/.f64 -2 (neg.f64 (+.f64 (/.f64 1 x) -1)))
(/.f64 (*.f64 2 x) (-.f64 1 x))
(/.f64 -1 (neg.f64 (-.f64 (/.f64 (/.f64 1 x) 2) 1/2)))
(/.f64 (neg.f64 (*.f64 2 x)) (neg.f64 (-.f64 1 x)))
(/.f64 (*.f64 x -2) (neg.f64 (-.f64 1 x)))
(/.f64 (*.f64 -2 x) (neg.f64 (-.f64 1 x)))
(/.f64 (/.f64 2 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) -1)) 2)) (cbrt.f64 (+.f64 (/.f64 1 x) -1)))
(/.f64 (/.f64 2 (sqrt.f64 (+.f64 (/.f64 1 x) -1))) (sqrt.f64 (+.f64 (/.f64 1 x) -1)))
(/.f64 (/.f64 (*.f64 2 x) 1) (-.f64 1 x))
(/.f64 (/.f64 (*.f64 2 x) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (cbrt.f64 (-.f64 1 x)))
(/.f64 (/.f64 (*.f64 2 x) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x)))
(pow.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)) 1)
(pow.f64 (cbrt.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 3)
(pow.f64 (pow.f64 (-.f64 (/.f64 (/.f64 1 x) 2) 1/2) -2) 1/2)
(pow.f64 (pow.f64 (-.f64 (/.f64 (/.f64 1 x) 2) 1/2) -3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 2)
(pow.f64 (-.f64 (/.f64 (/.f64 1 x) 2) 1/2) -1)
(pow.f64 (/.f64 (-.f64 (/.f64 (/.f64 1 x) 2) 1/2) 1) -1)
(sqrt.f64 (pow.f64 (-.f64 (/.f64 (/.f64 1 x) 2) 1/2) -2))
(log.f64 (exp.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))))
(cbrt.f64 (pow.f64 (-.f64 (/.f64 (/.f64 1 x) 2) 1/2) -3))
(expm1.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))
(exp.f64 (log.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))
(exp.f64 (*.f64 (log.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (/.f64 (/.f64 1 x) 2) 1/2) -3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))) 2))
(exp.f64 (*.f64 (log.f64 (-.f64 (/.f64 (/.f64 1 x) 2) 1/2)) -1))
(log1p.f64 (expm1.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))
(+.f64 0 (/.f64 2 (-.f64 1 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 2 (-.f64 1 x)))) (cbrt.f64 (exp.f64 (/.f64 2 (-.f64 1 x)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 2 (-.f64 1 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 2 (-.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 2 (-.f64 1 x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 2 (-.f64 1 x)))) 1)
(*.f64 2 (/.f64 1 (-.f64 1 x)))
(*.f64 1 (/.f64 2 (-.f64 1 x)))
(*.f64 (/.f64 2 (-.f64 1 x)) 1)
(*.f64 (cbrt.f64 (/.f64 2 (-.f64 1 x))) (cbrt.f64 (pow.f64 (-.f64 1/2 (/.f64 x 2)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1/2 (/.f64 x 2)) -2)) (cbrt.f64 (/.f64 2 (-.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 2 (-.f64 1 x))) (sqrt.f64 (/.f64 2 (-.f64 1 x))))
(*.f64 -2 (/.f64 1 (neg.f64 (-.f64 1 x))))
(*.f64 (/.f64 1 (-.f64 1 x)) 2)
(*.f64 (/.f64 1 (-.f64 1 x)) (log.f64 (exp.f64 2)))
(*.f64 (/.f64 2 (-.f64 1 (pow.f64 x 3))) (fma.f64 x (+.f64 1 x) 1))
(*.f64 (/.f64 2 (-.f64 1 (pow.f64 x 2))) (+.f64 1 x))
(pow.f64 (/.f64 2 (-.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (/.f64 2 (-.f64 1 x))) 3)
(pow.f64 (pow.f64 (-.f64 1/2 (/.f64 x 2)) -2) 1/2)
(pow.f64 (pow.f64 (-.f64 1/2 (/.f64 x 2)) -3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 2 (-.f64 1 x))) 2)
(pow.f64 (-.f64 1/2 (/.f64 x 2)) -1)
(pow.f64 (/.f64 (-.f64 1/2 (/.f64 x 2)) 1) -1)
(sqrt.f64 (pow.f64 (-.f64 1/2 (/.f64 x 2)) -2))
(log.f64 (exp.f64 (/.f64 2 (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 2 (-.f64 1 x)))))
(cbrt.f64 (pow.f64 (-.f64 1/2 (/.f64 x 2)) -3))
(expm1.f64 (log1p.f64 (/.f64 2 (-.f64 1 x))))
(exp.f64 (log.f64 (/.f64 2 (-.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 2 (-.f64 1 x))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 2 (-.f64 1 x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 2 (-.f64 1 x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 2 (-.f64 1 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 2 (-.f64 1 x)))) 2))
(exp.f64 (*.f64 (log.f64 (-.f64 1/2 (/.f64 x 2))) -1))
(log1p.f64 (expm1.f64 (/.f64 2 (-.f64 1 x))))
(+.f64 0 (/.f64 2 (+.f64 (/.f64 1 x) -1)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))) (cbrt.f64 (exp.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))) 1)
(*.f64 2 (/.f64 x (-.f64 1 x)))
(*.f64 1 (/.f64 2 (+.f64 (/.f64 1 x) -1)))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(*.f64 (/.f64 2 (-.f64 1 x)) x)
(*.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)) 1)
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 2 (-.f64 1 x))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1/2 (/.f64 x 2)) -2)) (*.f64 (cbrt.f64 (/.f64 2 (-.f64 1 x))) x))
(*.f64 (cbrt.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) (cbrt.f64 (pow.f64 (-.f64 (/.f64 (/.f64 1 x) 2) 1/2) -2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (/.f64 (/.f64 1 x) 2) 1/2) -2)) (cbrt.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 2 (-.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 2 (-.f64 1 x))) (*.f64 (sqrt.f64 (/.f64 2 (-.f64 1 x))) x))
(*.f64 (sqrt.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) (sqrt.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))
(*.f64 -2 (/.f64 1 (neg.f64 (+.f64 (/.f64 1 x) -1))))
(*.f64 (/.f64 x (-.f64 1 x)) 2)
(*.f64 (/.f64 x (-.f64 1 x)) (log.f64 (exp.f64 2)))
(*.f64 (*.f64 2 x) (/.f64 1 (-.f64 1 x)))
(*.f64 (/.f64 2 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 x (cbrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 2 (sqrt.f64 (-.f64 1 x))) (/.f64 x (sqrt.f64 (-.f64 1 x))))
(*.f64 (*.f64 x (cbrt.f64 (pow.f64 (-.f64 1/2 (/.f64 x 2)) -2))) (cbrt.f64 (/.f64 2 (-.f64 1 x))))
(*.f64 (*.f64 x (sqrt.f64 (/.f64 2 (-.f64 1 x)))) (sqrt.f64 (/.f64 2 (-.f64 1 x))))
(*.f64 (*.f64 (/.f64 2 (-.f64 1 x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (*.f64 (/.f64 2 (-.f64 1 x)) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (/.f64 2 (neg.f64 (-.f64 1 x))) (neg.f64 x))
(*.f64 (/.f64 (*.f64 2 x) (-.f64 1 (pow.f64 x 3))) (fma.f64 x (+.f64 1 x) 1))
(*.f64 (/.f64 (*.f64 2 x) (-.f64 1 (pow.f64 x 2))) (+.f64 1 x))
(pow.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)) 1)
(pow.f64 (cbrt.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 3)
(pow.f64 (pow.f64 (-.f64 (/.f64 (/.f64 1 x) 2) 1/2) -2) 1/2)
(pow.f64 (pow.f64 (-.f64 (/.f64 (/.f64 1 x) 2) 1/2) -3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 2)
(pow.f64 (-.f64 (/.f64 (/.f64 1 x) 2) 1/2) -1)
(pow.f64 (/.f64 (-.f64 (/.f64 (/.f64 1 x) 2) 1/2) 1) -1)
(sqrt.f64 (pow.f64 (-.f64 (/.f64 (/.f64 1 x) 2) 1/2) -2))
(log.f64 (exp.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))))
(cbrt.f64 (pow.f64 (-.f64 (/.f64 (/.f64 1 x) 2) 1/2) -3))
(expm1.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))
(exp.f64 (log.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))
(exp.f64 (*.f64 (log.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (/.f64 (/.f64 1 x) 2) 1/2) -3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))) 2))
(exp.f64 (*.f64 (log.f64 (-.f64 (/.f64 (/.f64 1 x) 2) 1/2)) -1))
(log1p.f64 (expm1.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))
(+.f64 0 (+.f64 (/.f64 1 x) -1))
(+.f64 (/.f64 1 x) -1)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 1 x) -1))) (cbrt.f64 (exp.f64 (+.f64 (/.f64 1 x) -1))))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 1 x) -1)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 1 x) -1)))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 1 x) -1)))))
(-.f64 (/.f64 1 x) 1)
(*.f64 1 (+.f64 (/.f64 1 x) -1))
(*.f64 (-.f64 1 x) (/.f64 1 x))
(*.f64 (+.f64 (/.f64 1 x) -1) 1)
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (*.f64 (cbrt.f64 (-.f64 1 x)) (/.f64 1 x)))
(*.f64 (cbrt.f64 (+.f64 (/.f64 1 x) -1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) -1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) -1)) 2) (cbrt.f64 (+.f64 (/.f64 1 x) -1)))
(*.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 1 x)))
(*.f64 (sqrt.f64 (+.f64 (/.f64 1 x) -1)) (sqrt.f64 (+.f64 (/.f64 1 x) -1)))
(*.f64 (neg.f64 (-.f64 1 x)) (/.f64 1 (neg.f64 x)))
(*.f64 (/.f64 1 x) (-.f64 1 x))
(*.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 (-.f64 1 x) (cbrt.f64 x)))
(*.f64 (pow.f64 x -1/2) (/.f64 (-.f64 1 x) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 x)) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (+.f64 (/.f64 1 x) -1)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (-.f64 1 x)) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) 1) (/.f64 (sqrt.f64 (-.f64 1 x)) x))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 x)))
(pow.f64 (+.f64 (/.f64 1 x) -1) 1)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) -1)) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 1 x) -1) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 (/.f64 1 x) -1) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 1 x) -1)) 2)
(pow.f64 (/.f64 x (-.f64 1 x)) -1)
(pow.f64 (/.f64 (/.f64 x (-.f64 1 x)) 1) -1)
(neg.f64 (/.f64 (-.f64 1 x) (neg.f64 x)))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 1 x) -1) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 1 x) -1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 1 x) -1))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 1 x) -1) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 x 3)))
(expm1.f64 (neg.f64 (log.f64 x)))
(exp.f64 (log.f64 (+.f64 (/.f64 1 x) -1)))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 1 x) -1)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (/.f64 1 x) -1)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (/.f64 1 x) -1))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 (/.f64 1 x) -1))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (/.f64 1 x) -1))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 x (-.f64 1 x))) -1))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 1 x) -1)))
(fma.f64 1 (/.f64 1 x) -1)
(fma.f64 (*.f64 (cbrt.f64 (/.f64 1 x)) (cbrt.f64 (/.f64 1 x))) (cbrt.f64 (/.f64 1 x)) -1)
(fma.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 (/.f64 1 x)) -1)
Outputs
(*.f64 2 x)
(+.f64 (*.f64 2 x) (*.f64 2 (pow.f64 x 2)))
(*.f64 2 (+.f64 x (pow.f64 x 2)))
(*.f64 x (fma.f64 2 x 2))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 2 (pow.f64 x 3))))
(fma.f64 2 x (*.f64 2 (+.f64 (pow.f64 x 2) (pow.f64 x 3))))
(*.f64 2 (+.f64 x (fma.f64 x x (pow.f64 x 3))))
(*.f64 x (+.f64 2 (*.f64 x (fma.f64 2 x 2))))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 (pow.f64 x 3)) (*.f64 2 (pow.f64 x 4)))))
(fma.f64 2 x (fma.f64 2 (pow.f64 x 2) (*.f64 2 (+.f64 (pow.f64 x 3) (pow.f64 x 4)))))
(*.f64 2 (+.f64 (+.f64 x (pow.f64 x 2)) (+.f64 (pow.f64 x 3) (pow.f64 x 4))))
(*.f64 2 (*.f64 (+.f64 (pow.f64 x 2) 1) (+.f64 x (pow.f64 x 2))))
-2
(neg.f64 (+.f64 2 (*.f64 2 (/.f64 1 x))))
(+.f64 -2 (neg.f64 (/.f64 2 x)))
(+.f64 -2 (/.f64 -2 x))
(-.f64 -2 (/.f64 2 x))
(neg.f64 (+.f64 2 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 2 (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 2)))))
(+.f64 -2 (-.f64 (/.f64 -2 x) (/.f64 2 (pow.f64 x 2))))
(+.f64 (-.f64 -2 (/.f64 2 x)) (/.f64 -2 (pow.f64 x 2)))
(neg.f64 (+.f64 2 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
(+.f64 -2 (neg.f64 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 3))))))
(+.f64 -2 (-.f64 (-.f64 (/.f64 -2 x) (/.f64 2 (pow.f64 x 2))) (/.f64 2 (pow.f64 x 3))))
(+.f64 -2 (+.f64 (+.f64 (/.f64 -2 (pow.f64 x 2)) (/.f64 -2 x)) (/.f64 -2 (pow.f64 x 3))))
-2
(neg.f64 (+.f64 2 (*.f64 2 (/.f64 1 x))))
(+.f64 -2 (neg.f64 (/.f64 2 x)))
(+.f64 -2 (/.f64 -2 x))
(-.f64 -2 (/.f64 2 x))
(neg.f64 (+.f64 2 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 2 (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 2)))))
(+.f64 -2 (-.f64 (/.f64 -2 x) (/.f64 2 (pow.f64 x 2))))
(+.f64 (-.f64 -2 (/.f64 2 x)) (/.f64 -2 (pow.f64 x 2)))
(neg.f64 (+.f64 2 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
(+.f64 -2 (neg.f64 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 3))))))
(+.f64 -2 (-.f64 (-.f64 (/.f64 -2 x) (/.f64 2 (pow.f64 x 2))) (/.f64 2 (pow.f64 x 3))))
(+.f64 -2 (+.f64 (+.f64 (/.f64 -2 (pow.f64 x 2)) (/.f64 -2 x)) (/.f64 -2 (pow.f64 x 3))))
2
(+.f64 2 (*.f64 2 x))
(fma.f64 2 x 2)
(+.f64 2 (+.f64 (*.f64 2 x) (*.f64 2 (pow.f64 x 2))))
(+.f64 2 (*.f64 2 (+.f64 x (pow.f64 x 2))))
(*.f64 2 (fma.f64 x (+.f64 x 1) 1))
(+.f64 2 (*.f64 x (fma.f64 2 x 2)))
(+.f64 2 (+.f64 (*.f64 2 x) (+.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 2 (pow.f64 x 3)))))
(+.f64 2 (fma.f64 2 x (*.f64 2 (+.f64 (pow.f64 x 2) (pow.f64 x 3)))))
(+.f64 2 (*.f64 2 (+.f64 x (fma.f64 x x (pow.f64 x 3)))))
(+.f64 2 (*.f64 x (+.f64 2 (*.f64 x (fma.f64 2 x 2)))))
(/.f64 -2 x)
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 2))))
(-.f64 (/.f64 -2 x) (/.f64 2 (pow.f64 x 2)))
(+.f64 (/.f64 -2 (pow.f64 x 2)) (/.f64 -2 x))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x)))))
(neg.f64 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 3)))))
(-.f64 (-.f64 (/.f64 -2 x) (/.f64 2 (pow.f64 x 2))) (/.f64 2 (pow.f64 x 3)))
(+.f64 (+.f64 (/.f64 -2 (pow.f64 x 2)) (/.f64 -2 x)) (/.f64 -2 (pow.f64 x 3)))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 x))))))
(neg.f64 (+.f64 (/.f64 2 (pow.f64 x 2)) (+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 4))))))
(-.f64 (/.f64 -2 (pow.f64 x 2)) (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 4)))))
(-.f64 (+.f64 (/.f64 -2 (pow.f64 x 2)) (/.f64 -2 x)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 4))))
(/.f64 -2 x)
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 2))))
(-.f64 (/.f64 -2 x) (/.f64 2 (pow.f64 x 2)))
(+.f64 (/.f64 -2 (pow.f64 x 2)) (/.f64 -2 x))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x)))))
(neg.f64 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 3)))))
(-.f64 (-.f64 (/.f64 -2 x) (/.f64 2 (pow.f64 x 2))) (/.f64 2 (pow.f64 x 3)))
(+.f64 (+.f64 (/.f64 -2 (pow.f64 x 2)) (/.f64 -2 x)) (/.f64 -2 (pow.f64 x 3)))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 x))))))
(neg.f64 (+.f64 (/.f64 2 (pow.f64 x 2)) (+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 4))))))
(-.f64 (/.f64 -2 (pow.f64 x 2)) (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 4)))))
(-.f64 (+.f64 (/.f64 -2 (pow.f64 x 2)) (/.f64 -2 x)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 4))))
(*.f64 2 x)
(+.f64 (*.f64 2 x) (*.f64 2 (pow.f64 x 2)))
(*.f64 2 (+.f64 x (pow.f64 x 2)))
(*.f64 x (fma.f64 2 x 2))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 2 (pow.f64 x 3))))
(fma.f64 2 x (*.f64 2 (+.f64 (pow.f64 x 2) (pow.f64 x 3))))
(*.f64 2 (+.f64 x (fma.f64 x x (pow.f64 x 3))))
(*.f64 x (+.f64 2 (*.f64 x (fma.f64 2 x 2))))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 (pow.f64 x 3)) (*.f64 2 (pow.f64 x 4)))))
(fma.f64 2 x (fma.f64 2 (pow.f64 x 2) (*.f64 2 (+.f64 (pow.f64 x 3) (pow.f64 x 4)))))
(*.f64 2 (+.f64 (+.f64 x (pow.f64 x 2)) (+.f64 (pow.f64 x 3) (pow.f64 x 4))))
(*.f64 2 (*.f64 (+.f64 (pow.f64 x 2) 1) (+.f64 x (pow.f64 x 2))))
-2
(neg.f64 (+.f64 2 (*.f64 2 (/.f64 1 x))))
(+.f64 -2 (neg.f64 (/.f64 2 x)))
(+.f64 -2 (/.f64 -2 x))
(-.f64 -2 (/.f64 2 x))
(neg.f64 (+.f64 2 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 2 (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 2)))))
(+.f64 -2 (-.f64 (/.f64 -2 x) (/.f64 2 (pow.f64 x 2))))
(+.f64 (-.f64 -2 (/.f64 2 x)) (/.f64 -2 (pow.f64 x 2)))
(neg.f64 (+.f64 2 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
(+.f64 -2 (neg.f64 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 3))))))
(+.f64 -2 (-.f64 (-.f64 (/.f64 -2 x) (/.f64 2 (pow.f64 x 2))) (/.f64 2 (pow.f64 x 3))))
(+.f64 -2 (+.f64 (+.f64 (/.f64 -2 (pow.f64 x 2)) (/.f64 -2 x)) (/.f64 -2 (pow.f64 x 3))))
-2
(neg.f64 (+.f64 2 (*.f64 2 (/.f64 1 x))))
(+.f64 -2 (neg.f64 (/.f64 2 x)))
(+.f64 -2 (/.f64 -2 x))
(-.f64 -2 (/.f64 2 x))
(neg.f64 (+.f64 2 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 2 (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 2)))))
(+.f64 -2 (-.f64 (/.f64 -2 x) (/.f64 2 (pow.f64 x 2))))
(+.f64 (-.f64 -2 (/.f64 2 x)) (/.f64 -2 (pow.f64 x 2)))
(neg.f64 (+.f64 2 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
(+.f64 -2 (neg.f64 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 3))))))
(+.f64 -2 (-.f64 (-.f64 (/.f64 -2 x) (/.f64 2 (pow.f64 x 2))) (/.f64 2 (pow.f64 x 3))))
(+.f64 -2 (+.f64 (+.f64 (/.f64 -2 (pow.f64 x 2)) (/.f64 -2 x)) (/.f64 -2 (pow.f64 x 3))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) 1)
(+.f64 (/.f64 1 x) -1)
(-.f64 (/.f64 1 x) 1)
(+.f64 (/.f64 1 x) -1)
(-.f64 (/.f64 1 x) 1)
(+.f64 (/.f64 1 x) -1)
-1
(-.f64 (/.f64 1 x) 1)
(+.f64 (/.f64 1 x) -1)
(-.f64 (/.f64 1 x) 1)
(+.f64 (/.f64 1 x) -1)
(-.f64 (/.f64 1 x) 1)
(+.f64 (/.f64 1 x) -1)
-1
(-.f64 (/.f64 1 x) 1)
(+.f64 (/.f64 1 x) -1)
(-.f64 (/.f64 1 x) 1)
(+.f64 (/.f64 1 x) -1)
(-.f64 (/.f64 1 x) 1)
(+.f64 (/.f64 1 x) -1)
(+.f64 0 (/.f64 2 (+.f64 (/.f64 1 x) -1)))
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))) (cbrt.f64 (exp.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))) 1)
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(/.f64 2 (neg.f64 (neg.f64 (+.f64 (/.f64 1 x) -1))))
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(/.f64 1 (-.f64 (/.f64 (/.f64 1 x) 2) 1/2))
(/.f64 1 (+.f64 (/.f64 1 (*.f64 2 x)) -1/2))
(/.f64 1 (+.f64 -1/2 (/.f64 1/2 x)))
(/.f64 -1 (+.f64 1/2 (/.f64 -1/2 x)))
(/.f64 1 (/.f64 (-.f64 (/.f64 (/.f64 1 x) 2) 1/2) 1))
(/.f64 1 (+.f64 (/.f64 1 (*.f64 2 x)) -1/2))
(/.f64 1 (+.f64 -1/2 (/.f64 1/2 x)))
(/.f64 -1 (+.f64 1/2 (/.f64 -1/2 x)))
(/.f64 x (-.f64 1/2 (/.f64 x 2)))
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(/.f64 (/.f64 2 (-.f64 1 x)) (/.f64 1 x))
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(/.f64 -2 (neg.f64 (+.f64 (/.f64 1 x) -1)))
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(/.f64 (*.f64 2 x) (-.f64 1 x))
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(/.f64 -1 (neg.f64 (-.f64 (/.f64 (/.f64 1 x) 2) 1/2)))
(/.f64 1 (+.f64 (/.f64 1 (*.f64 2 x)) -1/2))
(/.f64 1 (+.f64 -1/2 (/.f64 1/2 x)))
(/.f64 -1 (+.f64 1/2 (/.f64 -1/2 x)))
(/.f64 (neg.f64 (*.f64 2 x)) (neg.f64 (-.f64 1 x)))
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(/.f64 (*.f64 x -2) (neg.f64 (-.f64 1 x)))
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(/.f64 (*.f64 -2 x) (neg.f64 (-.f64 1 x)))
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(/.f64 (/.f64 2 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) -1)) 2)) (cbrt.f64 (+.f64 (/.f64 1 x) -1)))
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(/.f64 (/.f64 2 (sqrt.f64 (+.f64 (/.f64 1 x) -1))) (sqrt.f64 (+.f64 (/.f64 1 x) -1)))
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(/.f64 (/.f64 (*.f64 2 x) 1) (-.f64 1 x))
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(/.f64 (/.f64 (*.f64 2 x) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (cbrt.f64 (-.f64 1 x)))
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(/.f64 (/.f64 (*.f64 2 x) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x)))
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(pow.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)) 1)
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(pow.f64 (cbrt.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 3)
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(pow.f64 (pow.f64 (-.f64 (/.f64 (/.f64 1 x) 2) 1/2) -2) 1/2)
(/.f64 1 (+.f64 (/.f64 1 (*.f64 2 x)) -1/2))
(/.f64 1 (+.f64 -1/2 (/.f64 1/2 x)))
(/.f64 -1 (+.f64 1/2 (/.f64 -1/2 x)))
(pow.f64 (pow.f64 (-.f64 (/.f64 (/.f64 1 x) 2) 1/2) -3) 1/3)
(/.f64 1 (+.f64 (/.f64 1 (*.f64 2 x)) -1/2))
(/.f64 1 (+.f64 -1/2 (/.f64 1/2 x)))
(/.f64 -1 (+.f64 1/2 (/.f64 -1/2 x)))
(pow.f64 (sqrt.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 2)
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(pow.f64 (-.f64 (/.f64 (/.f64 1 x) 2) 1/2) -1)
(/.f64 1 (+.f64 (/.f64 1 (*.f64 2 x)) -1/2))
(/.f64 1 (+.f64 -1/2 (/.f64 1/2 x)))
(/.f64 -1 (+.f64 1/2 (/.f64 -1/2 x)))
(pow.f64 (/.f64 (-.f64 (/.f64 (/.f64 1 x) 2) 1/2) 1) -1)
(/.f64 1 (+.f64 (/.f64 1 (*.f64 2 x)) -1/2))
(/.f64 1 (+.f64 -1/2 (/.f64 1/2 x)))
(/.f64 -1 (+.f64 1/2 (/.f64 -1/2 x)))
(sqrt.f64 (pow.f64 (-.f64 (/.f64 (/.f64 1 x) 2) 1/2) -2))
(/.f64 1 (+.f64 (/.f64 1 (*.f64 2 x)) -1/2))
(/.f64 1 (+.f64 -1/2 (/.f64 1/2 x)))
(/.f64 -1 (+.f64 1/2 (/.f64 -1/2 x)))
(log.f64 (exp.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))))
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(cbrt.f64 (pow.f64 (-.f64 (/.f64 (/.f64 1 x) 2) 1/2) -3))
(/.f64 1 (+.f64 (/.f64 1 (*.f64 2 x)) -1/2))
(/.f64 1 (+.f64 -1/2 (/.f64 1/2 x)))
(/.f64 -1 (+.f64 1/2 (/.f64 -1/2 x)))
(expm1.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(exp.f64 (log.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(exp.f64 (*.f64 (log.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 1))
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 1) 1))
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))) 3))
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (/.f64 (/.f64 1 x) 2) 1/2) -3)) 1/3))
(/.f64 1 (+.f64 (/.f64 1 (*.f64 2 x)) -1/2))
(/.f64 1 (+.f64 -1/2 (/.f64 1/2 x)))
(/.f64 -1 (+.f64 1/2 (/.f64 -1/2 x)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))) 2))
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(exp.f64 (*.f64 (log.f64 (-.f64 (/.f64 (/.f64 1 x) 2) 1/2)) -1))
(/.f64 1 (+.f64 (/.f64 1 (*.f64 2 x)) -1/2))
(/.f64 1 (+.f64 -1/2 (/.f64 1/2 x)))
(/.f64 -1 (+.f64 1/2 (/.f64 -1/2 x)))
(log1p.f64 (expm1.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(+.f64 0 (/.f64 2 (-.f64 1 x)))
(/.f64 2 (-.f64 1 x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 2 (-.f64 1 x)))) (cbrt.f64 (exp.f64 (/.f64 2 (-.f64 1 x)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 2 (-.f64 1 x))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 2 (-.f64 1 x)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 2 (-.f64 1 x))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 2 (-.f64 1 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 2 (-.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 2 (-.f64 1 x))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 2 (-.f64 1 x))))))
(*.f64 2 (log.f64 (fabs.f64 (exp.f64 (/.f64 1 (-.f64 1 x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 2 (-.f64 1 x)))) 1)
(/.f64 2 (-.f64 1 x))
(*.f64 2 (/.f64 1 (-.f64 1 x)))
(/.f64 2 (-.f64 1 x))
(*.f64 1 (/.f64 2 (-.f64 1 x)))
(/.f64 2 (-.f64 1 x))
(*.f64 (/.f64 2 (-.f64 1 x)) 1)
(/.f64 2 (-.f64 1 x))
(*.f64 (cbrt.f64 (/.f64 2 (-.f64 1 x))) (cbrt.f64 (pow.f64 (-.f64 1/2 (/.f64 x 2)) -2)))
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(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (/.f64 1 x) -1))) 2))
(+.f64 (/.f64 1 x) -1)
(exp.f64 (*.f64 (log.f64 (/.f64 x (-.f64 1 x))) -1))
(+.f64 (/.f64 1 x) -1)
(log1p.f64 (expm1.f64 (+.f64 (/.f64 1 x) -1)))
(+.f64 (/.f64 1 x) -1)
(fma.f64 1 (/.f64 1 x) -1)
(+.f64 (/.f64 1 x) -1)
(fma.f64 (*.f64 (cbrt.f64 (/.f64 1 x)) (cbrt.f64 (/.f64 1 x))) (cbrt.f64 (/.f64 1 x)) -1)
(+.f64 (/.f64 1 x) -1)
(fma.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 (/.f64 1 x)) -1)
(+.f64 (/.f64 1 x) -1)

eval174.0ms (9.4%)

Compiler

Compiled 3513 to 2999 computations (14.6% saved)

prune33.0ms (1.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New2263229
Fresh000
Picked022
Done000
Total2265231
Accuracy
100.0%
Counts
231 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.7%
(*.f64 1/2 (log1p.f64 (/.f64 2 (/.f64 (-.f64 1 x) x))))
▶99.0%
(*.f64 1/2 (log1p.f64 (/.f64 2 (/.f64 1 x))))
✓100.0%
(*.f64 1/2 (log1p.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x)))
▶99.3%
(*.f64 1/2 (log1p.f64 (*.f64 2 x)))
▶0.0%
(*.f64 1/2 (log1p.f64 -2))
✓99.7%
(*.f64 1/2 (log1p.f64 (/.f64 2 (/.f64 (-.f64 1 x) x))))
▶99.0%
(*.f64 1/2 (log1p.f64 (/.f64 2 (/.f64 1 x))))
✓100.0%
(*.f64 1/2 (log1p.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x)))
▶99.3%
(*.f64 1/2 (log1p.f64 (*.f64 2 x)))
▶0.0%
(*.f64 1/2 (log1p.f64 -2))
Compiler

Compiled 86 to 74 computations (14% saved)

localize102.0ms (5.5%)

Compiler

Compiled 52 to 43 computations (17.3% saved)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune6.0ms (0.3%)

Pruning

5 alts after pruning (0 fresh and 5 done)

PrunedKeptTotal
New000
Fresh000
Picked033
Done022
Total055
Accuracy
100.0%
Counts
5 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.7%
(*.f64 1/2 (log1p.f64 (/.f64 2 (/.f64 (-.f64 1 x) x))))
✓99.0%
(*.f64 1/2 (log1p.f64 (/.f64 2 (/.f64 1 x))))
✓100.0%
(*.f64 1/2 (log1p.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x)))
✓99.3%
(*.f64 1/2 (log1p.f64 (*.f64 2 x)))
✓0.0%
(*.f64 1/2 (log1p.f64 -2))
Compiler

Compiled 92 to 78 computations (15.2% saved)

regimes38.0ms (2.1%)

Counts
6 → 1
Calls
Call 1
Inputs
(*.f64 1/2 (log1p.f64 -2))
(*.f64 1/2 (log1p.f64 (*.f64 2 x)))
(*.f64 1/2 (log1p.f64 (/.f64 2 (/.f64 1 x))))
(*.f64 1/2 (log1p.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x)))
(*.f64 1/2 (log1p.f64 (/.f64 2 (/.f64 (-.f64 1 x) x))))
(*.f64 1/2 (log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))))
Outputs
(*.f64 1/2 (log1p.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x)))
Calls

4 calls:

11.0ms
x
9.0ms
(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
8.0ms
(*.f64 1/2 (log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))))
8.0ms
(/.f64 (*.f64 2 x) (-.f64 1 x))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(*.f64 1/2 (log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))))
100.0%1(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
100.0%1(/.f64 (*.f64 2 x) (-.f64 1 x))
Compiler

Compiled 79 to 64 computations (19% saved)

regimes6.0ms (0.3%)

Counts
3 → 1
Calls
Call 1
Inputs
(*.f64 1/2 (log1p.f64 -2))
(*.f64 1/2 (log1p.f64 (*.f64 2 x)))
(*.f64 1/2 (log1p.f64 (/.f64 2 (/.f64 1 x))))
Outputs
(*.f64 1/2 (log1p.f64 (*.f64 2 x)))
Calls

1 calls:

5.0ms
x
Results
AccuracySegmentsBranch
99.3%1x
Compiler

Compiled 21 to 18 computations (14.3% saved)

regimes5.0ms (0.3%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
(*.f64 1/2 (log1p.f64 -2))
Outputs
(*.f64 1/2 (log1p.f64 -2))
Calls

1 calls:

5.0ms
x
Results
AccuracySegmentsBranch
0.0%1x
Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify3.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
12×*-commutative
4×sub-neg
4×+-commutative
2×1-exp
2×neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02066
12966
23366
33566
43666
Stop Event
1×done
1×saturated
Calls
Call 1
Inputs
(*.f64 1/2 (log1p.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x)))
(*.f64 1/2 (log1p.f64 (*.f64 2 x)))
(*.f64 1/2 (log1p.f64 -2))
Outputs
(*.f64 1/2 (log1p.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x)))
(*.f64 1/2 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))
(*.f64 1/2 (log1p.f64 (*.f64 2 x)))
(*.f64 1/2 (log1p.f64 -2))
Compiler

Compiled 23 to 20 computations (13% saved)

soundness240.0ms (13%)

Rules
2056×fma-def
498×times-frac
478×div-sub
412×associate-/r*
384×associate-*r*
Iterations

Useful iterations: 7 (0.0ms)

IterNodesCost
01871
13071
24368
36368
48668
511268
618468
730667
840467
956867
1071167
1190167
12118867
13199067
14319967
15381667
16384867
17388067
18392067
19392067
Stop Event
1×saturated
Compiler

Compiled 21 to 17 computations (19% saved)

end0.0ms (0%)

preprocess39.0ms (2.1%)

Compiler

Compiled 64 to 54 computations (15.6% saved)

Profiling

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