Prelude:atanh from fay-base-0.20.0.1

Time bar (total: 1.8s)

analyze1.0ms (0.1%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
50%50%50%0%0%0%0%2
75%75%25%0%0%0%0%3
87.5%87.5%12.5%0%0%0%0%4
93.8%93.7%6.2%0%0%0%0%5
96.9%96.8%3.1%0%0%0%0%6
98.4%98.4%1.6%0%0%0%0%7
99.2%99.2%0.8%0%0%0%0%8
99.6%99.6%0.4%0%0%0%0%9
99.8%99.8%0.2%0%0%0%0%10
99.9%99.9%0.1%0%0%0%0%11
100%99.9%0%0%0%0%0%12
Compiler

Compiled 9 to 7 computations (22.2% saved)

sample911.0ms (50.6%)

Results
899.0ms8256×body256valid
Bogosity

preprocess81.0ms (4.5%)

Algorithm
egg-herbie
Rules
1224×fma-def
496×div-sub
332×times-frac
274×fma-neg
254×associate-/r*
Problems
256×No Errors
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01479
12475
24175
38775
418775
559075
6173375
7241575
8277075
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 (+.f64 x 1) (-.f64 1 x))
(/.f64 (+.f64 x 1) (-.f64 1 x))
(/.f64 (+.f64 (neg.f64 x) 1) (-.f64 1 (neg.f64 x)))
Outputs
(/.f64 (+.f64 x 1) (-.f64 1 x))
(/.f64 (+.f64 x 1) (-.f64 1 x))
(/.f64 (+.f64 (neg.f64 x) 1) (-.f64 1 (neg.f64 x)))
(/.f64 (-.f64 1 x) (-.f64 1 (neg.f64 x)))
(/.f64 (-.f64 1 x) (+.f64 x 1))
Compiler

Compiled 25 to 18 computations (28% saved)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0.1%)

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

Compiled 16 to 12 computations (25% saved)

localize27.0ms (1.5%)

Localize:

Found 1 expressions with local error:

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

Compiled 17 to 12 computations (29.4% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite102.0ms (5.7%)

Algorithm
batch-egg-rewrite
Rules
870×unpow-prod-down
620×log1p-expm1-u
620×expm1-log1p-u
558×log-prod
482×prod-diff
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0925
111425
2165325
Stop Event
node limit
Counts
1 → 65
Calls
Call 1
Inputs
(/.f64 (+.f64 x 1) (-.f64 1 x))
Outputs
(+.f64 0 (/.f64 (+.f64 x 1) (-.f64 1 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))) 1)
(*.f64 1 (/.f64 (+.f64 x 1) (-.f64 1 x)))
(*.f64 (+.f64 x 1) (/.f64 1 (-.f64 1 x)))
(*.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 1)
(*.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) (log.f64 (exp.f64 1)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 (+.f64 x 1)) (/.f64 1 (-.f64 1 x))))
(*.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) 2) (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))
(*.f64 (sqrt.f64 (+.f64 x 1)) (*.f64 (sqrt.f64 (+.f64 x 1)) (/.f64 1 (-.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) (sqrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))
(*.f64 (fma.f64 -1 x -1) (/.f64 1 (neg.f64 (-.f64 1 x))))
(*.f64 (/.f64 1 (-.f64 1 x)) (+.f64 x 1))
(*.f64 (/.f64 1 (-.f64 1 x)) (pow.f64 (/.f64 1 (+.f64 x 1)) -1))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) -2) (/.f64 (+.f64 x 1) (cbrt.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (-.f64 1 x) -1/2) (/.f64 (+.f64 x 1) (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 x 1)) (-.f64 1 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (sqrt.f64 (-.f64 1 x))) (/.f64 (cbrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) 1) (/.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 1 x)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 (sqrt.f64 (+.f64 x 1)) (cbrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 (+.f64 x 1) (-.f64 1 (pow.f64 x 2))) (+.f64 x 1))
(*.f64 (/.f64 (+.f64 x 1) (-.f64 1 (pow.f64 x 3))) (fma.f64 x (+.f64 x 1) 1))
(*.f64 (pow.f64 1 1/3) (/.f64 (+.f64 x 1) (-.f64 1 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))) 2) 3) (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 3)) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 2) (+.f64 x 1)) 1/3) (cbrt.f64 (/.f64 1 (-.f64 1 x))))
(*.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))))
(*.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))) 2) -1) (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) -2) -1) (pow.f64 (/.f64 (-.f64 1 x) (cbrt.f64 (+.f64 x 1))) -1))
(*.f64 (pow.f64 (pow.f64 (+.f64 x 1) -1/2) -1) (pow.f64 (/.f64 (-.f64 1 x) (sqrt.f64 (+.f64 x 1))) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) 1) -1) (pow.f64 (/.f64 (cbrt.f64 (-.f64 1 x)) (+.f64 x 1)) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) -1) (pow.f64 (/.f64 (cbrt.f64 (-.f64 1 x)) (cbrt.f64 (+.f64 x 1))) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (sqrt.f64 (+.f64 x 1))) -1) (pow.f64 (/.f64 (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1))) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) 1) -1) (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (+.f64 x 1)) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) -1) (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (+.f64 x 1))) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1))) -1) (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1))) -1))
(*.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 (pow.f64 x 3))) -1) (/.f64 1 (-.f64 (fma.f64 x x 1) x)))
(*.f64 (pow.f64 (/.f64 (-.f64 1 x) (fma.f64 x x -1)) -1) (/.f64 1 (+.f64 x -1)))
(pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) 2)
(pow.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)) -1)
(pow.f64 (/.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (-.f64 1 x) 3)) 1/3)
(pow.f64 (/.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)) 1) -1)
(neg.f64 (/.f64 (+.f64 x 1) (neg.f64 (-.f64 1 x))))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (-.f64 1 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))
(exp.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 1))
(exp.f64 (*.f64 (*.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 1) 1))
(exp.f64 (*.f64 (*.f64 1/3 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 1/3))
(exp.f64 (*.f64 (*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 2))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) -1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))

simplify51.0ms (2.8%)

Algorithm
egg-herbie
Rules
1076×fma-def
836×unswap-sqr
702×distribute-rgt-in
702×associate-*r/
690×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02412967
16442761
220062710
Stop Event
node limit
Counts
77 → 129
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 2 x))
(+.f64 1 (+.f64 (*.f64 2 x) (*.f64 2 (pow.f64 x 2))))
(+.f64 1 (+.f64 (*.f64 2 x) (+.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 2 (pow.f64 x 3)))))
-1
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
-1
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
(+.f64 0 (/.f64 (+.f64 x 1) (-.f64 1 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))) 1)
(*.f64 1 (/.f64 (+.f64 x 1) (-.f64 1 x)))
(*.f64 (+.f64 x 1) (/.f64 1 (-.f64 1 x)))
(*.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 1)
(*.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) (log.f64 (exp.f64 1)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 (+.f64 x 1)) (/.f64 1 (-.f64 1 x))))
(*.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) 2) (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))
(*.f64 (sqrt.f64 (+.f64 x 1)) (*.f64 (sqrt.f64 (+.f64 x 1)) (/.f64 1 (-.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) (sqrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))
(*.f64 (fma.f64 -1 x -1) (/.f64 1 (neg.f64 (-.f64 1 x))))
(*.f64 (/.f64 1 (-.f64 1 x)) (+.f64 x 1))
(*.f64 (/.f64 1 (-.f64 1 x)) (pow.f64 (/.f64 1 (+.f64 x 1)) -1))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) -2) (/.f64 (+.f64 x 1) (cbrt.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (-.f64 1 x) -1/2) (/.f64 (+.f64 x 1) (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 x 1)) (-.f64 1 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (sqrt.f64 (-.f64 1 x))) (/.f64 (cbrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) 1) (/.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 1 x)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 (sqrt.f64 (+.f64 x 1)) (cbrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 (+.f64 x 1) (-.f64 1 (pow.f64 x 2))) (+.f64 x 1))
(*.f64 (/.f64 (+.f64 x 1) (-.f64 1 (pow.f64 x 3))) (fma.f64 x (+.f64 x 1) 1))
(*.f64 (pow.f64 1 1/3) (/.f64 (+.f64 x 1) (-.f64 1 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))) 2) 3) (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 3)) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 2) (+.f64 x 1)) 1/3) (cbrt.f64 (/.f64 1 (-.f64 1 x))))
(*.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))))
(*.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))) 2) -1) (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) -2) -1) (pow.f64 (/.f64 (-.f64 1 x) (cbrt.f64 (+.f64 x 1))) -1))
(*.f64 (pow.f64 (pow.f64 (+.f64 x 1) -1/2) -1) (pow.f64 (/.f64 (-.f64 1 x) (sqrt.f64 (+.f64 x 1))) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) 1) -1) (pow.f64 (/.f64 (cbrt.f64 (-.f64 1 x)) (+.f64 x 1)) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) -1) (pow.f64 (/.f64 (cbrt.f64 (-.f64 1 x)) (cbrt.f64 (+.f64 x 1))) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (sqrt.f64 (+.f64 x 1))) -1) (pow.f64 (/.f64 (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1))) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) 1) -1) (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (+.f64 x 1)) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) -1) (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (+.f64 x 1))) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1))) -1) (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1))) -1))
(*.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 (pow.f64 x 3))) -1) (/.f64 1 (-.f64 (fma.f64 x x 1) x)))
(*.f64 (pow.f64 (/.f64 (-.f64 1 x) (fma.f64 x x -1)) -1) (/.f64 1 (+.f64 x -1)))
(pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) 2)
(pow.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)) -1)
(pow.f64 (/.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (-.f64 1 x) 3)) 1/3)
(pow.f64 (/.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)) 1) -1)
(neg.f64 (/.f64 (+.f64 x 1) (neg.f64 (-.f64 1 x))))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (-.f64 1 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))
(exp.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 1))
(exp.f64 (*.f64 (*.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 1) 1))
(exp.f64 (*.f64 (*.f64 1/3 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 1/3))
(exp.f64 (*.f64 (*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 2))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) -1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))
Outputs
1
(+.f64 1 (*.f64 2 x))
(fma.f64 2 x 1)
(+.f64 1 (+.f64 (*.f64 2 x) (*.f64 2 (pow.f64 x 2))))
(+.f64 1 (*.f64 2 (+.f64 x (pow.f64 x 2))))
(fma.f64 2 (*.f64 x (+.f64 1 x)) 1)
(fma.f64 2 (fma.f64 x x x) 1)
(+.f64 1 (+.f64 (*.f64 2 x) (+.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 2 (pow.f64 x 3)))))
(+.f64 1 (fma.f64 2 x (*.f64 2 (+.f64 (pow.f64 x 2) (pow.f64 x 3)))))
(+.f64 1 (*.f64 2 (+.f64 x (fma.f64 x x (pow.f64 x 3)))))
(fma.f64 2 (fma.f64 x (+.f64 1 x) (pow.f64 x 3)) 1)
-1
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 1 (/.f64 2 x)))
(+.f64 -1 (/.f64 -2 x))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(+.f64 -1 (neg.f64 (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 2)))))
(-.f64 -1 (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 2))))
(+.f64 -1 (-.f64 (/.f64 -2 x) (/.f64 2 (pow.f64 x 2))))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
(neg.f64 (+.f64 1 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 3))))))
(-.f64 -1 (+.f64 (/.f64 2 (pow.f64 x 2)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3)))))
(+.f64 -1 (+.f64 (-.f64 (/.f64 -2 x) (/.f64 2 (pow.f64 x 2))) (/.f64 -2 (pow.f64 x 3))))
-1
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 1 (/.f64 2 x)))
(+.f64 -1 (/.f64 -2 x))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(+.f64 -1 (neg.f64 (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 2)))))
(-.f64 -1 (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 2))))
(+.f64 -1 (-.f64 (/.f64 -2 x) (/.f64 2 (pow.f64 x 2))))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
(neg.f64 (+.f64 1 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 3))))))
(-.f64 -1 (+.f64 (/.f64 2 (pow.f64 x 2)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3)))))
(+.f64 -1 (+.f64 (-.f64 (/.f64 -2 x) (/.f64 2 (pow.f64 x 2))) (/.f64 -2 (pow.f64 x 3))))
(+.f64 0 (/.f64 (+.f64 x 1) (-.f64 1 x)))
(/.f64 (+.f64 1 x) (-.f64 1 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))) 1)
(/.f64 (+.f64 1 x) (-.f64 1 x))
(*.f64 1 (/.f64 (+.f64 x 1) (-.f64 1 x)))
(/.f64 (+.f64 1 x) (-.f64 1 x))
(*.f64 (+.f64 x 1) (/.f64 1 (-.f64 1 x)))
(/.f64 (+.f64 1 x) (-.f64 1 x))
(*.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 1)
(/.f64 (+.f64 1 x) (-.f64 1 x))
(*.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) (log.f64 (exp.f64 1)))
(/.f64 (+.f64 1 x) (-.f64 1 x))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 (+.f64 x 1)) (/.f64 1 (-.f64 1 x))))
(/.f64 (+.f64 1 x) (-.f64 1 x))
(*.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) 2))
(/.f64 (+.f64 1 x) (-.f64 1 x))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) 2) (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))
(/.f64 (+.f64 1 x) (-.f64 1 x))
(*.f64 (sqrt.f64 (+.f64 x 1)) (*.f64 (sqrt.f64 (+.f64 x 1)) (/.f64 1 (-.f64 1 x))))
(/.f64 (+.f64 1 x) (-.f64 1 x))
(*.f64 (sqrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) (sqrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))
(/.f64 (+.f64 1 x) (-.f64 1 x))
(*.f64 (fma.f64 -1 x -1) (/.f64 1 (neg.f64 (-.f64 1 x))))
(/.f64 (+.f64 1 x) (-.f64 1 x))
(*.f64 (/.f64 1 (-.f64 1 x)) (+.f64 x 1))
(/.f64 (+.f64 1 x) (-.f64 1 x))
(*.f64 (/.f64 1 (-.f64 1 x)) (pow.f64 (/.f64 1 (+.f64 x 1)) -1))
(/.f64 (+.f64 1 x) (-.f64 1 x))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) -2) (/.f64 (+.f64 x 1) (cbrt.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) -2) (/.f64 (+.f64 1 x) (cbrt.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (-.f64 1 x) -1/2) (/.f64 (+.f64 x 1) (sqrt.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (-.f64 1 x) -1/2) (/.f64 (+.f64 1 x) (sqrt.f64 (-.f64 1 x))))
(/.f64 (*.f64 (+.f64 1 x) (pow.f64 (-.f64 1 x) -1/2)) (sqrt.f64 (-.f64 1 x)))
(*.f64 (/.f64 (pow.f64 (-.f64 1 x) -1/2) (sqrt.f64 (-.f64 1 x))) (+.f64 1 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 x 1)) (-.f64 1 x)))
(/.f64 (+.f64 1 x) (-.f64 1 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) (*.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (pow.f64 (cbrt.f64 (-.f64 1 x)) -2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (sqrt.f64 (-.f64 1 x))) (/.f64 (cbrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (sqrt.f64 (-.f64 1 x))) (/.f64 (cbrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(/.f64 (/.f64 (+.f64 1 x) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x)))
(/.f64 (+.f64 1 x) (*.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) 1) (/.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 1 x)))
(/.f64 (+.f64 1 x) (-.f64 1 x))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 (sqrt.f64 (+.f64 x 1)) (cbrt.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) -2) (/.f64 (+.f64 1 x) (cbrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 (+.f64 x 1) (-.f64 1 (pow.f64 x 2))) (+.f64 x 1))
(*.f64 (+.f64 1 x) (/.f64 (+.f64 1 x) (-.f64 1 (pow.f64 x 2))))
(/.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)) (-.f64 1 (pow.f64 x 2)))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 6) (-.f64 1 (pow.f64 x 2)))
(*.f64 (/.f64 (+.f64 x 1) (-.f64 1 (pow.f64 x 3))) (fma.f64 x (+.f64 x 1) 1))
(*.f64 (/.f64 (+.f64 1 x) (-.f64 1 (pow.f64 x 3))) (fma.f64 x (+.f64 1 x) 1))
(*.f64 (pow.f64 1 1/3) (/.f64 (+.f64 x 1) (-.f64 1 x)))
(/.f64 (+.f64 1 x) (-.f64 1 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))) 2) 3) (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))
(/.f64 (+.f64 1 x) (-.f64 1 x))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))) 3))
(/.f64 (+.f64 1 x) (-.f64 1 x))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 3)) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 3))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 3/2)) (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 3/2)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 2) (+.f64 x 1)) 1/3) (cbrt.f64 (/.f64 1 (-.f64 1 x))))
(*.f64 (cbrt.f64 (*.f64 (+.f64 1 x) (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 2))) (cbrt.f64 (/.f64 1 (-.f64 1 x))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 1 x) 3) (*.f64 (-.f64 1 x) (-.f64 1 x)))) (cbrt.f64 (/.f64 1 (-.f64 1 x))))
(*.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))) (cbrt.f64 (pow.f64 (*.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) 4) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) 8)))
(*.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 5/2)) (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))) 2) -1) (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 2)))
(/.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) 1) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 2))
(/.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) -2) -1) (pow.f64 (/.f64 (-.f64 1 x) (cbrt.f64 (+.f64 x 1))) -1))
(/.f64 (+.f64 1 x) (-.f64 1 x))
(*.f64 (pow.f64 (pow.f64 (+.f64 x 1) -1/2) -1) (pow.f64 (/.f64 (-.f64 1 x) (sqrt.f64 (+.f64 x 1))) -1))
(*.f64 (/.f64 1 (pow.f64 (+.f64 1 x) -1/2)) (/.f64 1 (/.f64 (-.f64 1 x) (sqrt.f64 (+.f64 1 x)))))
(*.f64 (/.f64 1 (pow.f64 (+.f64 1 x) -1/2)) (/.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 1 x)))
(/.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 1 x)) (pow.f64 (+.f64 1 x) -1/2))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) 1) -1) (pow.f64 (/.f64 (cbrt.f64 (-.f64 1 x)) (+.f64 x 1)) -1))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) -2) (/.f64 (+.f64 1 x) (cbrt.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) -1) (pow.f64 (/.f64 (cbrt.f64 (-.f64 1 x)) (cbrt.f64 (+.f64 x 1))) -1))
(*.f64 (/.f64 1 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))) (/.f64 1 (/.f64 (cbrt.f64 (-.f64 1 x)) (cbrt.f64 (+.f64 1 x)))))
(*.f64 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (*.f64 (/.f64 1 (cbrt.f64 (-.f64 1 x))) (cbrt.f64 (+.f64 1 x))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (pow.f64 (cbrt.f64 (-.f64 1 x)) -2)) (/.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (sqrt.f64 (+.f64 x 1))) -1) (pow.f64 (/.f64 (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1))) -1))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) -2) (/.f64 (+.f64 1 x) (cbrt.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) 1) -1) (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (+.f64 x 1)) -1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (sqrt.f64 (-.f64 1 x))) (/.f64 (cbrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(/.f64 (/.f64 (+.f64 1 x) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x)))
(/.f64 (+.f64 1 x) (*.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) -1) (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (+.f64 x 1))) -1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (sqrt.f64 (-.f64 1 x))) (/.f64 (cbrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(/.f64 (/.f64 (+.f64 1 x) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x)))
(/.f64 (+.f64 1 x) (*.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1))) -1) (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1))) -1))
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) -2)
(*.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 (pow.f64 x 3))) -1) (/.f64 1 (-.f64 (fma.f64 x x 1) x)))
(*.f64 (/.f64 1 (/.f64 (-.f64 1 x) (+.f64 1 (pow.f64 x 3)))) (/.f64 1 (-.f64 (fma.f64 x x 1) x)))
(/.f64 (*.f64 (/.f64 1 (-.f64 1 x)) (+.f64 1 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1) x))
(/.f64 1 (*.f64 (-.f64 (fma.f64 x x 1) x) (/.f64 (-.f64 1 x) (+.f64 1 (pow.f64 x 3)))))
(*.f64 (pow.f64 (/.f64 (-.f64 1 x) (fma.f64 x x -1)) -1) (/.f64 1 (+.f64 x -1)))
(*.f64 (/.f64 1 (/.f64 (-.f64 1 x) (fma.f64 x x -1))) (/.f64 1 (+.f64 x -1)))
(/.f64 (*.f64 (/.f64 1 (-.f64 1 x)) (fma.f64 x x -1)) (+.f64 x -1))
(*.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 (fma.f64 x x -1) (-.f64 1 x)))
(pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 1)
(/.f64 (+.f64 1 x) (-.f64 1 x))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) 3)
(/.f64 (+.f64 1 x) (-.f64 1 x))
(pow.f64 (pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 2) 1/2)
(/.f64 (+.f64 1 x) (-.f64 1 x))
(pow.f64 (pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 3) 1/3)
(/.f64 (+.f64 1 x) (-.f64 1 x))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) 2)
(/.f64 (+.f64 1 x) (-.f64 1 x))
(pow.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)) -1)
(/.f64 (+.f64 1 x) (-.f64 1 x))
(pow.f64 (/.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (-.f64 1 x) 3)) 1/3)
(/.f64 (+.f64 1 x) (-.f64 1 x))
(pow.f64 (/.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)) 1) -1)
(/.f64 (+.f64 1 x) (-.f64 1 x))
(neg.f64 (/.f64 (+.f64 x 1) (neg.f64 (-.f64 1 x))))
(/.f64 (+.f64 1 x) (-.f64 1 x))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 2))
(/.f64 (+.f64 1 x) (-.f64 1 x))
(log.f64 (exp.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))
(/.f64 (+.f64 1 x) (-.f64 1 x))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 3))
(/.f64 (+.f64 1 x) (-.f64 1 x))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (-.f64 1 x) 3)))
(/.f64 (+.f64 1 x) (-.f64 1 x))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))
(/.f64 (+.f64 1 x) (-.f64 1 x))
(exp.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 1))
(exp.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(exp.f64 (*.f64 (*.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 1) 1))
(exp.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(exp.f64 (*.f64 (*.f64 1/3 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 3))
(exp.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(exp.f64 (*.f64 (*.f64 3 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 1/3))
(exp.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(exp.f64 (*.f64 (*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 2))
(exp.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) -1))
(exp.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))
(/.f64 (+.f64 1 x) (-.f64 1 x))

eval51.0ms (2.8%)

Compiler

Compiled 1963 to 1557 computations (20.7% saved)

prune19.0ms (1.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1245129
Fresh000
Picked011
Done000
Total1246130
Accuracy
100.0%
Counts
130 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (+.f64 x 1) (-.f64 1 x))
50.3%
(+.f64 1 (*.f64 2 x))
52.0%
(+.f64 -1 (/.f64 -2 x))
99.8%
(*.f64 (/.f64 1 (-.f64 1 x)) (+.f64 x 1))
49.3%
1
50.5%
-1
100.0%
(/.f64 (+.f64 x 1) (-.f64 1 x))
50.3%
(+.f64 1 (*.f64 2 x))
52.0%
(+.f64 -1 (/.f64 -2 x))
99.8%
(*.f64 (/.f64 1 (-.f64 1 x)) (+.f64 x 1))
49.3%
1
50.5%
-1
Compiler

Compiled 68 to 56 computations (17.6% saved)

localize56.0ms (3.1%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
100.0%
(/.f64 1 (-.f64 1 x))
99.8%
(*.f64 (/.f64 1 (-.f64 1 x)) (+.f64 x 1))
Compiler

Compiled 46 to 34 computations (26.1% saved)

series1.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite69.0ms (3.8%)

Algorithm
batch-egg-rewrite
Rules
852×prod-diff
708×log1p-expm1-u
708×expm1-log1p-u
654×log-prod
516×pow-prod-down
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01041
114041
2201041
Stop Event
node limit
Counts
2 → 121
Calls
Call 1
Inputs
(*.f64 (/.f64 1 (-.f64 1 x)) (+.f64 x 1))
(/.f64 1 (-.f64 1 x))
Outputs
(+.f64 (/.f64 1 (-.f64 1 x)) (/.f64 x (-.f64 1 x)))
(+.f64 0 (/.f64 (+.f64 1 x) (-.f64 1 x)))
(+.f64 (/.f64 x (-.f64 1 x)) (/.f64 1 (-.f64 1 x)))
(+.f64 (*.f64 (/.f64 x (-.f64 1 x)) 1) (/.f64 1 (-.f64 1 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))) (cbrt.f64 (exp.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))) 1)
(/.f64 1 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(/.f64 (+.f64 1 x) (-.f64 1 x))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (/.f64 (-.f64 1 x) (cbrt.f64 (+.f64 1 x))))
(/.f64 (hypot.f64 1 (sqrt.f64 x)) (/.f64 (-.f64 1 x) (hypot.f64 1 (sqrt.f64 x))))
(/.f64 (+.f64 1 (pow.f64 x 3)) (*.f64 (-.f64 1 x) (-.f64 (fma.f64 x x 1) x)))
(/.f64 (fma.f64 x x -1) (*.f64 (-.f64 1 x) (+.f64 x -1)))
(/.f64 (*.f64 -1 (+.f64 1 (pow.f64 x 3))) (*.f64 (neg.f64 (-.f64 1 x)) (-.f64 (fma.f64 x x 1) x)))
(/.f64 (*.f64 -1 (fma.f64 x x -1)) (*.f64 (neg.f64 (-.f64 1 x)) (+.f64 x -1)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) 1) (*.f64 (-.f64 (fma.f64 x x 1) x) (-.f64 1 x)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) -1) (*.f64 (-.f64 (fma.f64 x x 1) x) (neg.f64 (-.f64 1 x))))
(/.f64 (*.f64 (fma.f64 x x -1) 1) (*.f64 (+.f64 x -1) (-.f64 1 x)))
(/.f64 (*.f64 (fma.f64 x x -1) -1) (*.f64 (+.f64 x -1) (neg.f64 (-.f64 1 x))))
(/.f64 (neg.f64 (+.f64 1 x)) (neg.f64 (-.f64 1 x)))
(/.f64 (/.f64 (+.f64 1 x) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x)))
(/.f64 (+.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 3) (pow.f64 (-.f64 1 x) -3)) (+.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 2) (-.f64 (pow.f64 (-.f64 1 x) -2) (*.f64 (/.f64 x (-.f64 1 x)) (/.f64 1 (-.f64 1 x))))))
(/.f64 (-.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 2) (pow.f64 (-.f64 1 x) -2)) (-.f64 (/.f64 x (-.f64 1 x)) (/.f64 1 (-.f64 1 x))))
(/.f64 (*.f64 (/.f64 1 (-.f64 1 x)) (+.f64 1 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1) x))
(/.f64 (*.f64 (/.f64 1 (-.f64 1 x)) (fma.f64 x x -1)) (+.f64 x -1))
(/.f64 (*.f64 (+.f64 1 x) -1) (neg.f64 (-.f64 1 x)))
(/.f64 (*.f64 -1 (+.f64 1 x)) (neg.f64 (-.f64 1 x)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) (/.f64 1 (-.f64 1 x))) (-.f64 (fma.f64 x x 1) x))
(/.f64 (*.f64 (fma.f64 x x -1) (/.f64 1 (-.f64 1 x))) (+.f64 x -1))
(/.f64 (/.f64 (+.f64 1 x) 1) (-.f64 1 x))
(/.f64 (/.f64 (+.f64 1 x) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (cbrt.f64 (-.f64 1 x)))
(pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) 2)
(pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) -1)
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))))
(log.f64 (*.f64 (exp.f64 (/.f64 1 (-.f64 1 x))) (exp.f64 (/.f64 x (-.f64 1 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 1 x)))) (exp.f64 (/.f64 x (-.f64 1 x)))))
(log.f64 (*.f64 (exp.f64 (/.f64 x (-.f64 1 x))) (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 1 x))))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 (-.f64 1 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(exp.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 1))
(exp.f64 (*.f64 (*.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 1) 1))
(exp.f64 (*.f64 (*.f64 1/3 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 1/3))
(exp.f64 (*.f64 (*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 2))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(fma.f64 1 (/.f64 1 (-.f64 1 x)) (/.f64 x (-.f64 1 x)))
(fma.f64 1 (/.f64 x (-.f64 1 x)) (/.f64 1 (-.f64 1 x)))
(fma.f64 x (/.f64 1 (-.f64 1 x)) (/.f64 1 (-.f64 1 x)))
(fma.f64 (/.f64 1 (-.f64 1 x)) 1 (/.f64 x (-.f64 1 x)))
(fma.f64 (/.f64 1 (-.f64 1 x)) x (/.f64 1 (-.f64 1 x)))
(fma.f64 -1 (/.f64 1 (neg.f64 (-.f64 1 x))) (/.f64 x (-.f64 1 x)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (-.f64 1 x))) (/.f64 1 (-.f64 1 x)))
(fma.f64 (/.f64 1 (cbrt.f64 (-.f64 1 x))) (cbrt.f64 (pow.f64 (-.f64 1 x) -2)) (/.f64 x (-.f64 1 x)))
(fma.f64 (cbrt.f64 (pow.f64 (-.f64 1 x) -2)) (/.f64 1 (cbrt.f64 (-.f64 1 x))) (/.f64 x (-.f64 1 x)))
(fma.f64 (cbrt.f64 (pow.f64 (-.f64 1 x) -2)) (*.f64 (/.f64 1 (cbrt.f64 (-.f64 1 x))) 1) (/.f64 x (-.f64 1 x)))
(fma.f64 (cbrt.f64 (pow.f64 (-.f64 1 x) -2)) (*.f64 (/.f64 1 (cbrt.f64 (-.f64 1 x))) x) (/.f64 1 (-.f64 1 x)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (-.f64 1 x))) (/.f64 1 (-.f64 1 x)))
(fma.f64 (pow.f64 (-.f64 1 x) -1/2) (pow.f64 (-.f64 1 x) -1/2) (/.f64 x (-.f64 1 x)))
(fma.f64 (pow.f64 (-.f64 1 x) -1/2) (*.f64 (pow.f64 (-.f64 1 x) -1/2) 1) (/.f64 x (-.f64 1 x)))
(fma.f64 (pow.f64 (-.f64 1 x) -1/2) (*.f64 (pow.f64 (-.f64 1 x) -1/2) x) (/.f64 1 (-.f64 1 x)))
(fma.f64 (/.f64 x (-.f64 1 x)) 1 (/.f64 1 (-.f64 1 x)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) -2) (/.f64 1 (cbrt.f64 (-.f64 1 x))) (/.f64 x (-.f64 1 x)))
(fma.f64 (*.f64 (cbrt.f64 (/.f64 x (-.f64 1 x))) (cbrt.f64 (/.f64 x (-.f64 1 x)))) (cbrt.f64 (/.f64 x (-.f64 1 x))) (/.f64 1 (-.f64 1 x)))
(fma.f64 (sqrt.f64 (/.f64 x (-.f64 1 x))) (sqrt.f64 (/.f64 x (-.f64 1 x))) (/.f64 1 (-.f64 1 x)))
(fma.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 1/2) (pow.f64 (/.f64 x (-.f64 1 x)) 1/2) (/.f64 1 (-.f64 1 x)))
(fma.f64 (*.f64 x (cbrt.f64 (pow.f64 (-.f64 1 x) -2))) (/.f64 1 (cbrt.f64 (-.f64 1 x))) (/.f64 1 (-.f64 1 x)))
(fma.f64 (*.f64 x (pow.f64 (-.f64 1 x) -1/2)) (pow.f64 (-.f64 1 x) -1/2) (/.f64 1 (-.f64 1 x)))
(fma.f64 (*.f64 (/.f64 1 (-.f64 1 x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (/.f64 1 (-.f64 1 x)))
(fma.f64 (*.f64 (/.f64 1 (-.f64 1 x)) (sqrt.f64 x)) (sqrt.f64 x) (/.f64 1 (-.f64 1 x)))
(fma.f64 (/.f64 1 (-.f64 1 (pow.f64 x 3))) (fma.f64 x (+.f64 1 x) 1) (/.f64 x (-.f64 1 x)))
(fma.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2))) (+.f64 1 x) (/.f64 x (-.f64 1 x)))
(+.f64 0 (/.f64 1 (-.f64 1 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 1 x)))) (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 1 x)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 1 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (-.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (-.f64 1 x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (-.f64 1 x)))) 1)
(*.f64 1 (/.f64 1 (-.f64 1 x)))
(*.f64 (/.f64 1 (-.f64 1 x)) 1)
(*.f64 (/.f64 1 (-.f64 1 x)) (log.f64 (exp.f64 1)))
(*.f64 -1 (/.f64 1 (neg.f64 (-.f64 1 x))))
(*.f64 (/.f64 1 (cbrt.f64 (-.f64 1 x))) (cbrt.f64 (pow.f64 (-.f64 1 x) -2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 x) -2)) (/.f64 1 (cbrt.f64 (-.f64 1 x))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 x) -2)) (*.f64 (/.f64 1 (cbrt.f64 (-.f64 1 x))) 1))
(*.f64 (pow.f64 (-.f64 1 x) -1/2) (pow.f64 (-.f64 1 x) -1/2))
(*.f64 (pow.f64 (-.f64 1 x) -1/2) (*.f64 (pow.f64 (-.f64 1 x) -1/2) 1))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) -2) (/.f64 1 (cbrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 1 (-.f64 1 (pow.f64 x 3))) (fma.f64 x (+.f64 1 x) 1))
(*.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2))) (+.f64 1 x))
(pow.f64 (-.f64 1 x) -1)
(pow.f64 (/.f64 1 (-.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (-.f64 1 x)) -3)
(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 1 x))) 3)
(pow.f64 (pow.f64 (-.f64 1 x) 2) -1/2)
(pow.f64 (pow.f64 (-.f64 1 x) 3) -1/3)
(pow.f64 (pow.f64 (-.f64 1 x) -2) 1/2)
(pow.f64 (pow.f64 (-.f64 1 x) -3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 1 x)) -2)
(pow.f64 (pow.f64 (-.f64 1 x) -1/2) 2)
(pow.f64 (neg.f64 (neg.f64 (-.f64 1 x))) -1)
(sqrt.f64 (pow.f64 (-.f64 1 x) -2))
(log.f64 (exp.f64 (/.f64 1 (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 1 x)))))
(cbrt.f64 (pow.f64 (-.f64 1 x) -3))
(expm1.f64 (log1p.f64 (/.f64 1 (-.f64 1 x))))
(exp.f64 (neg.f64 (log1p.f64 (neg.f64 x))))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 x)) -1))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (neg.f64 x))) 1))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (neg.f64 x)) 1) -1))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (neg.f64 x)) -1) 1))
(exp.f64 (*.f64 (*.f64 (neg.f64 (log1p.f64 (neg.f64 x))) 1) 1))
(exp.f64 (*.f64 (*.f64 1/3 (neg.f64 (log1p.f64 (neg.f64 x)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 1 x) -3)) 1/3))
(exp.f64 (*.f64 (*.f64 -1/2 (log1p.f64 (neg.f64 x))) 2))
(log1p.f64 (expm1.f64 (/.f64 1 (-.f64 1 x))))

simplify80.0ms (4.5%)

Algorithm
egg-herbie
Rules
1166×associate-/l*
730×associate-*r/
610×associate-*l/
604×unswap-sqr
486×associate-+l+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03265388
18314421
227824316
Stop Event
node limit
Counts
145 → 189
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 2 x))
(+.f64 1 (+.f64 (*.f64 2 x) (*.f64 2 (pow.f64 x 2))))
(+.f64 1 (+.f64 (*.f64 2 x) (+.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 2 (pow.f64 x 3)))))
-1
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
-1
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
1
(+.f64 1 x)
(+.f64 1 (+.f64 x (pow.f64 x 2)))
(+.f64 1 (+.f64 x (+.f64 (pow.f64 x 2) (pow.f64 x 3))))
(/.f64 -1 x)
(neg.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2))))
(neg.f64 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))))
(neg.f64 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))))))
(/.f64 -1 x)
(neg.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2))))
(neg.f64 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))))
(neg.f64 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))))))
(+.f64 (/.f64 1 (-.f64 1 x)) (/.f64 x (-.f64 1 x)))
(+.f64 0 (/.f64 (+.f64 1 x) (-.f64 1 x)))
(+.f64 (/.f64 x (-.f64 1 x)) (/.f64 1 (-.f64 1 x)))
(+.f64 (*.f64 (/.f64 x (-.f64 1 x)) 1) (/.f64 1 (-.f64 1 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))) (cbrt.f64 (exp.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))) 1)
(/.f64 1 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(/.f64 (+.f64 1 x) (-.f64 1 x))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (/.f64 (-.f64 1 x) (cbrt.f64 (+.f64 1 x))))
(/.f64 (hypot.f64 1 (sqrt.f64 x)) (/.f64 (-.f64 1 x) (hypot.f64 1 (sqrt.f64 x))))
(/.f64 (+.f64 1 (pow.f64 x 3)) (*.f64 (-.f64 1 x) (-.f64 (fma.f64 x x 1) x)))
(/.f64 (fma.f64 x x -1) (*.f64 (-.f64 1 x) (+.f64 x -1)))
(/.f64 (*.f64 -1 (+.f64 1 (pow.f64 x 3))) (*.f64 (neg.f64 (-.f64 1 x)) (-.f64 (fma.f64 x x 1) x)))
(/.f64 (*.f64 -1 (fma.f64 x x -1)) (*.f64 (neg.f64 (-.f64 1 x)) (+.f64 x -1)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) 1) (*.f64 (-.f64 (fma.f64 x x 1) x) (-.f64 1 x)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) -1) (*.f64 (-.f64 (fma.f64 x x 1) x) (neg.f64 (-.f64 1 x))))
(/.f64 (*.f64 (fma.f64 x x -1) 1) (*.f64 (+.f64 x -1) (-.f64 1 x)))
(/.f64 (*.f64 (fma.f64 x x -1) -1) (*.f64 (+.f64 x -1) (neg.f64 (-.f64 1 x))))
(/.f64 (neg.f64 (+.f64 1 x)) (neg.f64 (-.f64 1 x)))
(/.f64 (/.f64 (+.f64 1 x) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x)))
(/.f64 (+.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 3) (pow.f64 (-.f64 1 x) -3)) (+.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 2) (-.f64 (pow.f64 (-.f64 1 x) -2) (*.f64 (/.f64 x (-.f64 1 x)) (/.f64 1 (-.f64 1 x))))))
(/.f64 (-.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 2) (pow.f64 (-.f64 1 x) -2)) (-.f64 (/.f64 x (-.f64 1 x)) (/.f64 1 (-.f64 1 x))))
(/.f64 (*.f64 (/.f64 1 (-.f64 1 x)) (+.f64 1 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1) x))
(/.f64 (*.f64 (/.f64 1 (-.f64 1 x)) (fma.f64 x x -1)) (+.f64 x -1))
(/.f64 (*.f64 (+.f64 1 x) -1) (neg.f64 (-.f64 1 x)))
(/.f64 (*.f64 -1 (+.f64 1 x)) (neg.f64 (-.f64 1 x)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) (/.f64 1 (-.f64 1 x))) (-.f64 (fma.f64 x x 1) x))
(/.f64 (*.f64 (fma.f64 x x -1) (/.f64 1 (-.f64 1 x))) (+.f64 x -1))
(/.f64 (/.f64 (+.f64 1 x) 1) (-.f64 1 x))
(/.f64 (/.f64 (+.f64 1 x) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (cbrt.f64 (-.f64 1 x)))
(pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) 2)
(pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) -1)
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))))
(log.f64 (*.f64 (exp.f64 (/.f64 1 (-.f64 1 x))) (exp.f64 (/.f64 x (-.f64 1 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 1 x)))) (exp.f64 (/.f64 x (-.f64 1 x)))))
(log.f64 (*.f64 (exp.f64 (/.f64 x (-.f64 1 x))) (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 1 x))))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 (-.f64 1 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(exp.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 1))
(exp.f64 (*.f64 (*.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 1) 1))
(exp.f64 (*.f64 (*.f64 1/3 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 1/3))
(exp.f64 (*.f64 (*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 2))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(fma.f64 1 (/.f64 1 (-.f64 1 x)) (/.f64 x (-.f64 1 x)))
(fma.f64 1 (/.f64 x (-.f64 1 x)) (/.f64 1 (-.f64 1 x)))
(fma.f64 x (/.f64 1 (-.f64 1 x)) (/.f64 1 (-.f64 1 x)))
(fma.f64 (/.f64 1 (-.f64 1 x)) 1 (/.f64 x (-.f64 1 x)))
(fma.f64 (/.f64 1 (-.f64 1 x)) x (/.f64 1 (-.f64 1 x)))
(fma.f64 -1 (/.f64 1 (neg.f64 (-.f64 1 x))) (/.f64 x (-.f64 1 x)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (-.f64 1 x))) (/.f64 1 (-.f64 1 x)))
(fma.f64 (/.f64 1 (cbrt.f64 (-.f64 1 x))) (cbrt.f64 (pow.f64 (-.f64 1 x) -2)) (/.f64 x (-.f64 1 x)))
(fma.f64 (cbrt.f64 (pow.f64 (-.f64 1 x) -2)) (/.f64 1 (cbrt.f64 (-.f64 1 x))) (/.f64 x (-.f64 1 x)))
(fma.f64 (cbrt.f64 (pow.f64 (-.f64 1 x) -2)) (*.f64 (/.f64 1 (cbrt.f64 (-.f64 1 x))) 1) (/.f64 x (-.f64 1 x)))
(fma.f64 (cbrt.f64 (pow.f64 (-.f64 1 x) -2)) (*.f64 (/.f64 1 (cbrt.f64 (-.f64 1 x))) x) (/.f64 1 (-.f64 1 x)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (-.f64 1 x))) (/.f64 1 (-.f64 1 x)))
(fma.f64 (pow.f64 (-.f64 1 x) -1/2) (pow.f64 (-.f64 1 x) -1/2) (/.f64 x (-.f64 1 x)))
(fma.f64 (pow.f64 (-.f64 1 x) -1/2) (*.f64 (pow.f64 (-.f64 1 x) -1/2) 1) (/.f64 x (-.f64 1 x)))
(fma.f64 (pow.f64 (-.f64 1 x) -1/2) (*.f64 (pow.f64 (-.f64 1 x) -1/2) x) (/.f64 1 (-.f64 1 x)))
(fma.f64 (/.f64 x (-.f64 1 x)) 1 (/.f64 1 (-.f64 1 x)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) -2) (/.f64 1 (cbrt.f64 (-.f64 1 x))) (/.f64 x (-.f64 1 x)))
(fma.f64 (*.f64 (cbrt.f64 (/.f64 x (-.f64 1 x))) (cbrt.f64 (/.f64 x (-.f64 1 x)))) (cbrt.f64 (/.f64 x (-.f64 1 x))) (/.f64 1 (-.f64 1 x)))
(fma.f64 (sqrt.f64 (/.f64 x (-.f64 1 x))) (sqrt.f64 (/.f64 x (-.f64 1 x))) (/.f64 1 (-.f64 1 x)))
(fma.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 1/2) (pow.f64 (/.f64 x (-.f64 1 x)) 1/2) (/.f64 1 (-.f64 1 x)))
(fma.f64 (*.f64 x (cbrt.f64 (pow.f64 (-.f64 1 x) -2))) (/.f64 1 (cbrt.f64 (-.f64 1 x))) (/.f64 1 (-.f64 1 x)))
(fma.f64 (*.f64 x (pow.f64 (-.f64 1 x) -1/2)) (pow.f64 (-.f64 1 x) -1/2) (/.f64 1 (-.f64 1 x)))
(fma.f64 (*.f64 (/.f64 1 (-.f64 1 x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (/.f64 1 (-.f64 1 x)))
(fma.f64 (*.f64 (/.f64 1 (-.f64 1 x)) (sqrt.f64 x)) (sqrt.f64 x) (/.f64 1 (-.f64 1 x)))
(fma.f64 (/.f64 1 (-.f64 1 (pow.f64 x 3))) (fma.f64 x (+.f64 1 x) 1) (/.f64 x (-.f64 1 x)))
(fma.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2))) (+.f64 1 x) (/.f64 x (-.f64 1 x)))
(+.f64 0 (/.f64 1 (-.f64 1 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 1 x)))) (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 1 x)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 1 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (-.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (-.f64 1 x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (-.f64 1 x)))) 1)
(*.f64 1 (/.f64 1 (-.f64 1 x)))
(*.f64 (/.f64 1 (-.f64 1 x)) 1)
(*.f64 (/.f64 1 (-.f64 1 x)) (log.f64 (exp.f64 1)))
(*.f64 -1 (/.f64 1 (neg.f64 (-.f64 1 x))))
(*.f64 (/.f64 1 (cbrt.f64 (-.f64 1 x))) (cbrt.f64 (pow.f64 (-.f64 1 x) -2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 x) -2)) (/.f64 1 (cbrt.f64 (-.f64 1 x))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 x) -2)) (*.f64 (/.f64 1 (cbrt.f64 (-.f64 1 x))) 1))
(*.f64 (pow.f64 (-.f64 1 x) -1/2) (pow.f64 (-.f64 1 x) -1/2))
(*.f64 (pow.f64 (-.f64 1 x) -1/2) (*.f64 (pow.f64 (-.f64 1 x) -1/2) 1))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) -2) (/.f64 1 (cbrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 1 (-.f64 1 (pow.f64 x 3))) (fma.f64 x (+.f64 1 x) 1))
(*.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2))) (+.f64 1 x))
(pow.f64 (-.f64 1 x) -1)
(pow.f64 (/.f64 1 (-.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (-.f64 1 x)) -3)
(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 1 x))) 3)
(pow.f64 (pow.f64 (-.f64 1 x) 2) -1/2)
(pow.f64 (pow.f64 (-.f64 1 x) 3) -1/3)
(pow.f64 (pow.f64 (-.f64 1 x) -2) 1/2)
(pow.f64 (pow.f64 (-.f64 1 x) -3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 1 x)) -2)
(pow.f64 (pow.f64 (-.f64 1 x) -1/2) 2)
(pow.f64 (neg.f64 (neg.f64 (-.f64 1 x))) -1)
(sqrt.f64 (pow.f64 (-.f64 1 x) -2))
(log.f64 (exp.f64 (/.f64 1 (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 1 x)))))
(cbrt.f64 (pow.f64 (-.f64 1 x) -3))
(expm1.f64 (log1p.f64 (/.f64 1 (-.f64 1 x))))
(exp.f64 (neg.f64 (log1p.f64 (neg.f64 x))))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 x)) -1))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (neg.f64 x))) 1))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (neg.f64 x)) 1) -1))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (neg.f64 x)) -1) 1))
(exp.f64 (*.f64 (*.f64 (neg.f64 (log1p.f64 (neg.f64 x))) 1) 1))
(exp.f64 (*.f64 (*.f64 1/3 (neg.f64 (log1p.f64 (neg.f64 x)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 1 x) -3)) 1/3))
(exp.f64 (*.f64 (*.f64 -1/2 (log1p.f64 (neg.f64 x))) 2))
(log1p.f64 (expm1.f64 (/.f64 1 (-.f64 1 x))))
Outputs
1
(+.f64 1 (*.f64 2 x))
(fma.f64 2 x 1)
(+.f64 1 (+.f64 (*.f64 2 x) (*.f64 2 (pow.f64 x 2))))
(+.f64 1 (*.f64 2 (+.f64 x (pow.f64 x 2))))
(fma.f64 2 (fma.f64 x x x) 1)
(+.f64 1 (+.f64 (*.f64 2 x) (+.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 2 (pow.f64 x 3)))))
(+.f64 1 (fma.f64 2 x (*.f64 2 (+.f64 (pow.f64 x 2) (pow.f64 x 3)))))
(+.f64 1 (*.f64 2 (+.f64 x (fma.f64 x x (pow.f64 x 3)))))
(+.f64 1 (*.f64 2 (*.f64 x (fma.f64 x (+.f64 1 x) 1))))
-1
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(+.f64 -1 (neg.f64 (/.f64 2 x)))
(+.f64 -1 (/.f64 -2 x))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (+.f64 1 (/.f64 2 x)) (/.f64 2 (pow.f64 x 2))))
(-.f64 -1 (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 2))))
(+.f64 -1 (-.f64 (/.f64 -2 x) (/.f64 2 (pow.f64 x 2))))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
(neg.f64 (+.f64 (+.f64 1 (/.f64 2 x)) (+.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 3)))))
(-.f64 -1 (+.f64 (/.f64 2 (pow.f64 x 2)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3)))))
(+.f64 (+.f64 -1 (/.f64 -2 x)) (+.f64 (/.f64 -2 (pow.f64 x 2)) (/.f64 -2 (pow.f64 x 3))))
-1
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(+.f64 -1 (neg.f64 (/.f64 2 x)))
(+.f64 -1 (/.f64 -2 x))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (+.f64 1 (/.f64 2 x)) (/.f64 2 (pow.f64 x 2))))
(-.f64 -1 (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 2))))
(+.f64 -1 (-.f64 (/.f64 -2 x) (/.f64 2 (pow.f64 x 2))))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
(neg.f64 (+.f64 (+.f64 1 (/.f64 2 x)) (+.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 3)))))
(-.f64 -1 (+.f64 (/.f64 2 (pow.f64 x 2)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3)))))
(+.f64 (+.f64 -1 (/.f64 -2 x)) (+.f64 (/.f64 -2 (pow.f64 x 2)) (/.f64 -2 (pow.f64 x 3))))
1
(+.f64 1 x)
(+.f64 1 (+.f64 x (pow.f64 x 2)))
(fma.f64 x (+.f64 1 x) 1)
(+.f64 1 (+.f64 x (+.f64 (pow.f64 x 2) (pow.f64 x 3))))
(+.f64 (+.f64 1 x) (+.f64 (pow.f64 x 2) (pow.f64 x 3)))
(+.f64 (fma.f64 x (+.f64 1 x) 1) (pow.f64 x 3))
(*.f64 (+.f64 1 x) (fma.f64 x x 1))
(/.f64 -1 x)
(neg.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 -1 x) (/.f64 1 (pow.f64 x 2)))
(+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 2)))
(neg.f64 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))))
(-.f64 (-.f64 (/.f64 -1 x) (/.f64 1 (pow.f64 x 2))) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 -1 x) (+.f64 (/.f64 -1 (pow.f64 x 2)) (/.f64 -1 (pow.f64 x 3))))
(neg.f64 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))))))
(neg.f64 (+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4)))))
(-.f64 (-.f64 (/.f64 -1 x) (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 -1 x) (+.f64 (/.f64 -1 (pow.f64 x 2)) (+.f64 (/.f64 -1 (pow.f64 x 4)) (/.f64 -1 (pow.f64 x 3)))))
(/.f64 -1 x)
(neg.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 -1 x) (/.f64 1 (pow.f64 x 2)))
(+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 2)))
(neg.f64 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))))
(-.f64 (-.f64 (/.f64 -1 x) (/.f64 1 (pow.f64 x 2))) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 -1 x) (+.f64 (/.f64 -1 (pow.f64 x 2)) (/.f64 -1 (pow.f64 x 3))))
(neg.f64 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))))))
(neg.f64 (+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4)))))
(-.f64 (-.f64 (/.f64 -1 x) (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 -1 x) (+.f64 (/.f64 -1 (pow.f64 x 2)) (+.f64 (/.f64 -1 (pow.f64 x 4)) (/.f64 -1 (pow.f64 x 3)))))
(+.f64 (/.f64 1 (-.f64 1 x)) (/.f64 x (-.f64 1 x)))
(/.f64 (+.f64 1 x) (-.f64 1 x))
(+.f64 0 (/.f64 (+.f64 1 x) (-.f64 1 x)))
(+.f64 (/.f64 1 (-.f64 1 x)) (/.f64 x (-.f64 1 x)))
(/.f64 (+.f64 1 x) (-.f64 1 x))
(+.f64 (/.f64 x (-.f64 1 x)) (/.f64 1 (-.f64 1 x)))
(+.f64 (/.f64 1 (-.f64 1 x)) (/.f64 x (-.f64 1 x)))
(/.f64 (+.f64 1 x) (-.f64 1 x))
(+.f64 (*.f64 (/.f64 x (-.f64 1 x)) 1) (/.f64 1 (-.f64 1 x)))
(+.f64 (/.f64 1 (-.f64 1 x)) (/.f64 x (-.f64 1 x)))
(/.f64 (+.f64 1 x) (-.f64 1 x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))) (cbrt.f64 (exp.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))) 1)
(+.f64 (/.f64 1 (-.f64 1 x)) (/.f64 x (-.f64 1 x)))
(/.f64 (+.f64 1 x) (-.f64 1 x))
(/.f64 1 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(+.f64 (/.f64 1 (-.f64 1 x)) (/.f64 x (-.f64 1 x)))
(/.f64 (+.f64 1 x) (-.f64 1 x))
(/.f64 (+.f64 1 x) (-.f64 1 x))
(+.f64 (/.f64 1 (-.f64 1 x)) (/.f64 x (-.f64 1 x)))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (/.f64 (-.f64 1 x) (cbrt.f64 (+.f64 1 x))))
(+.f64 (/.f64 1 (-.f64 1 x)) (/.f64 x (-.f64 1 x)))
(/.f64 (+.f64 1 x) (-.f64 1 x))
(/.f64 (hypot.f64 1 (sqrt.f64 x)) (/.f64 (-.f64 1 x) (hypot.f64 1 (sqrt.f64 x))))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 x)) (-.f64 1 x)) (hypot.f64 1 (sqrt.f64 x)))
(*.f64 (hypot.f64 1 (sqrt.f64 x)) (/.f64 (hypot.f64 1 (sqrt.f64 x)) (-.f64 1 x)))
(/.f64 (*.f64 (hypot.f64 1 (sqrt.f64 x)) (hypot.f64 1 (sqrt.f64 x))) (-.f64 1 x))
(/.f64 (+.f64 1 (pow.f64 x 3)) (*.f64 (-.f64 1 x) (-.f64 (fma.f64 x x 1) x)))
(/.f64 (/.f64 (+.f64 1 (pow.f64 x 3)) (-.f64 1 x)) (-.f64 (fma.f64 x x 1) x))
(/.f64 (fma.f64 x x -1) (*.f64 (-.f64 1 x) (+.f64 x -1)))
(/.f64 (-.f64 1 (pow.f64 x 2)) (pow.f64 (-.f64 1 x) 2))
(/.f64 (*.f64 -1 (+.f64 1 (pow.f64 x 3))) (*.f64 (neg.f64 (-.f64 1 x)) (-.f64 (fma.f64 x x 1) x)))
(/.f64 (+.f64 1 (pow.f64 x 3)) (*.f64 (-.f64 1 x) (-.f64 (fma.f64 x x 1) x)))
(/.f64 (/.f64 (+.f64 1 (pow.f64 x 3)) (-.f64 1 x)) (-.f64 (fma.f64 x x 1) x))
(/.f64 (*.f64 -1 (fma.f64 x x -1)) (*.f64 (neg.f64 (-.f64 1 x)) (+.f64 x -1)))
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(/.f64 1 (-.f64 1 x))
(*.f64 (pow.f64 (-.f64 1 x) -1/2) (*.f64 (pow.f64 (-.f64 1 x) -1/2) 1))
(/.f64 1 (-.f64 1 x))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) -2) (/.f64 1 (cbrt.f64 (-.f64 1 x))))
(/.f64 1 (-.f64 1 x))
(*.f64 (/.f64 1 (-.f64 1 (pow.f64 x 3))) (fma.f64 x (+.f64 1 x) 1))
(/.f64 (*.f64 1 (fma.f64 x (+.f64 1 x) 1)) (-.f64 1 (pow.f64 x 3)))
(/.f64 (fma.f64 x (+.f64 1 x) 1) (-.f64 1 (pow.f64 x 3)))
(*.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2))) (+.f64 1 x))
(/.f64 (*.f64 1 (+.f64 1 x)) (-.f64 1 (pow.f64 x 2)))
(/.f64 (+.f64 1 x) (-.f64 1 (pow.f64 x 2)))
(pow.f64 (-.f64 1 x) -1)
(/.f64 1 (-.f64 1 x))
(pow.f64 (/.f64 1 (-.f64 1 x)) 1)
(/.f64 1 (-.f64 1 x))
(pow.f64 (cbrt.f64 (-.f64 1 x)) -3)
(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 1 x))) 3)
(/.f64 1 (-.f64 1 x))
(pow.f64 (pow.f64 (-.f64 1 x) 2) -1/2)
(pow.f64 (pow.f64 (-.f64 1 x) 3) -1/3)
(*.f64 (pow.f64 (pow.f64 (-.f64 1 x) 3) -1/6) (pow.f64 (pow.f64 (-.f64 1 x) 3) -1/6))
(pow.f64 (pow.f64 (-.f64 1 x) -2) 1/2)
(/.f64 1 (-.f64 1 x))
(pow.f64 (pow.f64 (-.f64 1 x) -3) 1/3)
(/.f64 1 (-.f64 1 x))
(pow.f64 (sqrt.f64 (-.f64 1 x)) -2)
(pow.f64 (pow.f64 (-.f64 1 x) -1/2) 2)
(/.f64 1 (-.f64 1 x))
(pow.f64 (neg.f64 (neg.f64 (-.f64 1 x))) -1)
(/.f64 1 (-.f64 1 x))
(sqrt.f64 (pow.f64 (-.f64 1 x) -2))
(/.f64 1 (-.f64 1 x))
(log.f64 (exp.f64 (/.f64 1 (-.f64 1 x))))
(/.f64 1 (-.f64 1 x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 1 x)))))
(/.f64 1 (-.f64 1 x))
(cbrt.f64 (pow.f64 (-.f64 1 x) -3))
(/.f64 1 (-.f64 1 x))
(expm1.f64 (log1p.f64 (/.f64 1 (-.f64 1 x))))
(/.f64 1 (-.f64 1 x))
(exp.f64 (neg.f64 (log1p.f64 (neg.f64 x))))
(/.f64 1 (-.f64 1 x))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 x)) -1))
(/.f64 1 (-.f64 1 x))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (neg.f64 x))) 1))
(/.f64 1 (-.f64 1 x))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (neg.f64 x)) 1) -1))
(/.f64 1 (-.f64 1 x))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (neg.f64 x)) -1) 1))
(/.f64 1 (-.f64 1 x))
(exp.f64 (*.f64 (*.f64 (neg.f64 (log1p.f64 (neg.f64 x))) 1) 1))
(/.f64 1 (-.f64 1 x))
(exp.f64 (*.f64 (*.f64 1/3 (neg.f64 (log1p.f64 (neg.f64 x)))) 3))
(/.f64 1 (-.f64 1 x))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 1 x) -3)) 1/3))
(/.f64 1 (-.f64 1 x))
(exp.f64 (*.f64 (*.f64 -1/2 (log1p.f64 (neg.f64 x))) 2))
(/.f64 1 (-.f64 1 x))
(log1p.f64 (expm1.f64 (/.f64 1 (-.f64 1 x))))
(/.f64 1 (-.f64 1 x))

eval62.0ms (3.4%)

Compiler

Compiled 2703 to 2071 computations (23.4% saved)

prune26.0ms (1.4%)

Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New1890189
Fresh022
Picked033
Done011
Total1896195
Accuracy
100.0%
Counts
195 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (+.f64 x 1) (-.f64 1 x))
50.3%
(+.f64 1 (*.f64 2 x))
52.0%
(+.f64 -1 (/.f64 -2 x))
99.8%
(*.f64 (/.f64 1 (-.f64 1 x)) (+.f64 x 1))
49.3%
1
50.5%
-1
100.0%
(/.f64 (+.f64 x 1) (-.f64 1 x))
50.3%
(+.f64 1 (*.f64 2 x))
52.0%
(+.f64 -1 (/.f64 -2 x))
99.8%
(*.f64 (/.f64 1 (-.f64 1 x)) (+.f64 x 1))
49.3%
1
50.5%
-1
Compiler

Compiled 68 to 56 computations (17.6% saved)

localize0.0ms (0%)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune4.0ms (0.2%)

Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New000
Fresh022
Picked000
Done044
Total066
Accuracy
100.0%
Counts
6 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (+.f64 x 1) (-.f64 1 x))
50.3%
(+.f64 1 (*.f64 2 x))
52.0%
(+.f64 -1 (/.f64 -2 x))
99.8%
(*.f64 (/.f64 1 (-.f64 1 x)) (+.f64 x 1))
49.3%
1
50.5%
-1
100.0%
(/.f64 (+.f64 x 1) (-.f64 1 x))
50.3%
(+.f64 1 (*.f64 2 x))
52.0%
(+.f64 -1 (/.f64 -2 x))
99.8%
(*.f64 (/.f64 1 (-.f64 1 x)) (+.f64 x 1))
49.3%
1
50.5%
-1
Compiler

Compiled 68 to 56 computations (17.6% saved)

localize0.0ms (0%)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune3.0ms (0.2%)

Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New000
Fresh022
Picked000
Done044
Total066
Accuracy
100.0%
Counts
6 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (+.f64 x 1) (-.f64 1 x))
50.3%
(+.f64 1 (*.f64 2 x))
52.0%
(+.f64 -1 (/.f64 -2 x))
99.8%
(*.f64 (/.f64 1 (-.f64 1 x)) (+.f64 x 1))
49.3%
1
50.5%
-1
Compiler

Compiled 63 to 51 computations (19% saved)

regimes9.0ms (0.5%)

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

2 calls:

6.0ms
x
2.0ms
(/.f64 (+.f64 x 1) (-.f64 1 x))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(/.f64 (+.f64 x 1) (-.f64 1 x))
Compiler

Compiled 39 to 30 computations (23.1% saved)

regimes13.0ms (0.7%)

Counts
4 → 3
Calls
Call 1
Inputs
-1
1
(+.f64 -1 (/.f64 -2 x))
(+.f64 1 (*.f64 2 x))
Outputs
(+.f64 -1 (/.f64 -2 x))
(+.f64 1 (*.f64 2 x))
(+.f64 -1 (/.f64 -2 x))
Calls

1 calls:

12.0ms
x
Results
AccuracySegmentsBranch
99.1%3x
Compiler

Compiled 15 to 12 computations (20% saved)

regimes12.0ms (0.6%)

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

1 calls:

11.0ms
x
Results
AccuracySegmentsBranch
98.9%3x
Compiler

Compiled 10 to 8 computations (20% saved)

regimes10.0ms (0.5%)

Counts
2 → 3
Calls
Call 1
Inputs
-1
1
Outputs
-1
1
-1
Calls

1 calls:

9.0ms
x
Results
AccuracySegmentsBranch
98.3%3x
Compiler

Compiled 5 to 4 computations (20% saved)

regimes4.0ms (0.2%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
-1
Outputs
-1
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
50.5%1x
Compiler

Compiled 4 to 3 computations (25% saved)

bsearch27.0ms (1.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
14.0ms
0.005610600884241416
26511.028405431767
13.0ms
-6000.9982639992995
-6.577393987264176e-5
Results
24.0ms288×body256valid
Compiler

Compiled 264 to 225 computations (14.8% saved)

bsearch28.0ms (1.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
14.0ms
0.005610600884241416
26511.028405431767
14.0ms
-6000.9982639992995
-6.577393987264176e-5
Results
25.0ms288×body256valid
Compiler

Compiled 192 to 171 computations (10.9% saved)

bsearch27.0ms (1.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
14.0ms
0.005610600884241416
26511.028405431767
13.0ms
-6000.9982639992995
-6.577393987264176e-5
Results
24.0ms288×body256valid
Compiler

Compiled 120 to 117 computations (2.5% saved)

simplify5.0ms (0.3%)

Algorithm
egg-herbie
Rules
10×+-commutative
if-if-or-not
sub-neg
*-commutative
1-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029164
146164
249164
351164
452164
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(/.f64 (+.f64 x 1) (-.f64 1 x))
(if (<=.f64 x -1080863910568919/2251799813685248) (+.f64 -1 (/.f64 -2 x)) (if (<=.f64 x 1) (+.f64 1 (*.f64 2 x)) (+.f64 -1 (/.f64 -2 x))))
(if (<=.f64 x -1) (+.f64 -1 (/.f64 -2 x)) (if (<=.f64 x 1) 1 (+.f64 -1 (/.f64 -2 x))))
(if (<=.f64 x -1) -1 (if (<=.f64 x 1) 1 -1))
-1
Outputs
(/.f64 (+.f64 x 1) (-.f64 1 x))
(if (<=.f64 x -1080863910568919/2251799813685248) (+.f64 -1 (/.f64 -2 x)) (if (<=.f64 x 1) (+.f64 1 (*.f64 2 x)) (+.f64 -1 (/.f64 -2 x))))
(if (or (<=.f64 x -1080863910568919/2251799813685248) (not (<=.f64 x 1))) (+.f64 -1 (/.f64 -2 x)) (+.f64 1 (*.f64 x 2)))
(if (<=.f64 x -1) (+.f64 -1 (/.f64 -2 x)) (if (<=.f64 x 1) 1 (+.f64 -1 (/.f64 -2 x))))
(if (or (<=.f64 x -1) (not (<=.f64 x 1))) (+.f64 -1 (/.f64 -2 x)) 1)
(if (<=.f64 x -1) -1 (if (<=.f64 x 1) 1 -1))
-1
Compiler

Compiled 58 to 47 computations (19% saved)

soundness69.0ms (3.8%)

Rules
1076×fma-def
836×unswap-sqr
702×distribute-rgt-in
702×associate-*r/
690×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02412967
16442761
220062710
Stop Event
node limit
Compiler

Compiled 51 to 44 computations (13.7% saved)

end0.0ms (0%)

preprocess51.0ms (2.8%)

Compiler

Compiled 124 to 98 computations (21% saved)

Profiling

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