Data.Colour.CIE:cieLABView from colour-2.3.3, A

Time bar (total: 6.7s)

analyze0.0ms (0%)

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

Compiled 11 to 10 computations (9.1% saved)

sample1.7s (25.6%)

Results
1.7s8240×body256valid
1.0ms13×body256infinite
0.0msbody1024valid
Bogosity

preprocess53.0ms (0.8%)

Algorithm
egg-herbie
Rules
fma-def
*-commutative
+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0139
1179
2189
011
Stop Event
saturated
saturated
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29))
Outputs
(+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29))
(fma.f64 841/108 x 4/29)
Compiler

Compiled 11 to 10 computations (9.1% saved)

simplify12.0ms (0.2%)

Algorithm
egg-herbie
Rules
fma-def
*-commutative
+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0139
1179
2189
Stop Event
saturated
Counts
1 → 2
Calls
Call 1
Inputs
(+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29))
Outputs
(+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29))
(fma.f64 841/108 x 4/29)

eval1.0ms (0%)

Compiler

Compiled 14 to 12 computations (14.3% saved)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Accurracy
99.9%
Counts
3 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(fma.f64 841/108 x 4/29)
99.9%
(+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29))
99.9%
(fma.f64 841/108 x 4/29)
99.9%
(+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29))
Compiler

Compiled 30 to 26 computations (13.3% saved)

localize50.0ms (0.7%)

Local Accuracy

Found 3 expressions with local accuracy:

NewAccuracyProgram
99.9%
(fma.f64 841/108 x 4/29)
100.0%
(+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29))
99.8%
(*.f64 (/.f64 841 108) x)
Compiler

Compiled 34 to 29 computations (14.7% saved)

series2.0ms (0%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
0.0ms
x
@-inf
(fma.f64 841/108 x 4/29)
0.0ms
x
@-inf
(*.f64 (/.f64 841 108) x)
0.0ms
x
@inf
(*.f64 (/.f64 841 108) x)
0.0ms
x
@0
(*.f64 (/.f64 841 108) x)
0.0ms
x
@inf
(+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29))

rewrite364.0ms (5.4%)

Algorithm
batch-egg-rewrite
Rules
1018×unpow-prod-down
842×log-prod
430×pow-prod-down
428×prod-exp
416×expm1-udef
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01525
127725
2273925
Stop Event
node limit
Counts
3 → 126
Calls
Call 1
Inputs
(*.f64 (/.f64 841 108) x)
(+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29))
(fma.f64 841/108 x 4/29)
Outputs
(+.f64 0 (*.f64 841/108 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 841/108) x)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 841/108) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 841/108) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 841/108) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 841/108 x))) 1)
(pow.f64 (*.f64 841/108 x) 1)
(pow.f64 (cbrt.f64 (*.f64 841/108 x)) 3)
(pow.f64 (*.f64 707281/11664 (*.f64 x x)) 1/2)
(pow.f64 (*.f64 594823321/1259712 (pow.f64 x 3)) 1/3)
(pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2)
(sqrt.f64 (*.f64 707281/11664 (*.f64 x x)))
(log.f64 (pow.f64 (exp.f64 841/108) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 841/108 x))))
(cbrt.f64 (*.f64 594823321/1259712 (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 841/108 x)))
(exp.f64 (log.f64 (*.f64 841/108 x)))
(exp.f64 (*.f64 (log.f64 (*.f64 841/108 x)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 841/108 x)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 841/108 x))) 3))
(exp.f64 (*.f64 (log.f64 (*.f64 594823321/1259712 (pow.f64 x 3))) 1/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 841/108 x)) 3) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 841/108 x))) 2))
(log1p.f64 (expm1.f64 (*.f64 841/108 x)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 841/108 x 4/29))) 1)
(-.f64 (/.f64 (*.f64 707281/11664 (*.f64 x x)) (fma.f64 841/108 x -4/29)) (/.f64 16/841 (fma.f64 841/108 x -4/29)))
(*.f64 (fma.f64 841/108 x 4/29) 1)
(*.f64 1 (fma.f64 841/108 x 4/29))
(*.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2) (cbrt.f64 (fma.f64 841/108 x 4/29)))
(*.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) (sqrt.f64 (fma.f64 841/108 x 4/29)))
(*.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (/.f64 1 (-.f64 (fma.f64 707281/11664 (*.f64 x x) 16/841) (*.f64 x 29/27))))
(*.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (pow.f64 (/.f64 1 (-.f64 (fma.f64 707281/11664 (*.f64 x x) 16/841) (*.f64 x 29/27))) 1))
(*.f64 (fma.f64 707281/11664 (*.f64 x x) -16/841) (/.f64 1 (fma.f64 841/108 x -4/29)))
(*.f64 (fma.f64 707281/11664 (*.f64 x x) -16/841) (pow.f64 (/.f64 1 (fma.f64 841/108 x -4/29)) 1))
(*.f64 (pow.f64 1 1/3) (fma.f64 841/108 x 4/29))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 841/108 x 4/29))) 2) 3) (cbrt.f64 (fma.f64 841/108 x 4/29)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 841/108 x 4/29))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 841/108 x 4/29))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (fma.f64 841/108 x 4/29) (cbrt.f64 (fma.f64 841/108 x 4/29))) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 841/108 x 4/29))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (fma.f64 841/108 x 4/29))))
(/.f64 1 (/.f64 (-.f64 (fma.f64 707281/11664 (*.f64 x x) 16/841) (*.f64 x 29/27)) (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389)))
(/.f64 1 (/.f64 (fma.f64 841/108 x -4/29) (fma.f64 707281/11664 (*.f64 x x) -16/841)))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (-.f64 (fma.f64 707281/11664 (*.f64 x x) 16/841) (*.f64 x 29/27)))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 16/841 (-.f64 (*.f64 707281/11664 (*.f64 x x)) (*.f64 x 29/27))))
(/.f64 (fma.f64 707281/11664 (*.f64 x x) -16/841) (fma.f64 841/108 x -4/29))
(/.f64 (neg.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389)) (neg.f64 (-.f64 (fma.f64 707281/11664 (*.f64 x x) 16/841) (*.f64 x 29/27))))
(/.f64 (neg.f64 (fma.f64 707281/11664 (*.f64 x x) -16/841)) (neg.f64 (fma.f64 841/108 x -4/29)))
(/.f64 (-.f64 16/841 (*.f64 707281/11664 (*.f64 x x))) (-.f64 4/29 (*.f64 841/108 x)))
(pow.f64 (fma.f64 841/108 x 4/29) 1)
(pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 3)
(pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) 2)
(pow.f64 (/.f64 (-.f64 (fma.f64 707281/11664 (*.f64 x x) 16/841) (*.f64 x 29/27)) (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389)) -1)
(pow.f64 (/.f64 (fma.f64 841/108 x -4/29) (fma.f64 707281/11664 (*.f64 x x) -16/841)) -1)
(sqrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 2))
(log.f64 (exp.f64 (fma.f64 841/108 x 4/29)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 841/108 x 4/29))))
(cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3))
(expm1.f64 (log1p.f64 (fma.f64 841/108 x 4/29)))
(exp.f64 (log.f64 (fma.f64 841/108 x 4/29)))
(exp.f64 (*.f64 (log.f64 (fma.f64 841/108 x 4/29)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 841/108 x 4/29)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 841/108 x 4/29))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 841/108 x 4/29))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 841/108 x 4/29))) 2))
(log1p.f64 (expm1.f64 (fma.f64 841/108 x 4/29)))
(fma.f64 841/108 x 4/29)
(fma.f64 x 841/108 4/29)
(fma.f64 (*.f64 841/108 x) 1 4/29)
(fma.f64 1 (*.f64 841/108 x) 4/29)
(fma.f64 (cbrt.f64 (*.f64 841/108 x)) (cbrt.f64 (*.f64 707281/11664 (*.f64 x x))) 4/29)
(fma.f64 (cbrt.f64 (*.f64 707281/11664 (*.f64 x x))) (cbrt.f64 (*.f64 841/108 x)) 4/29)
(fma.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) 841/108) 4/29)
(fma.f64 (sqrt.f64 (*.f64 841/108 x)) (sqrt.f64 (*.f64 841/108 x)) 4/29)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 841/108) 4/29)
(fma.f64 (*.f64 841/108 (cbrt.f64 (*.f64 x x))) (cbrt.f64 x) 4/29)
(fma.f64 (*.f64 841/108 (sqrt.f64 x)) (sqrt.f64 x) 4/29)
(+.f64 (*.f64 841/108 x) 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 0 (fma.f64 841/108 x 4/29))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 841/108 x 4/29))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 841/108 x 4/29)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 841/108 x 4/29)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 841/108 x 4/29)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 841/108 x 4/29))) 1)
(-.f64 (/.f64 (*.f64 707281/11664 (*.f64 x x)) (fma.f64 841/108 x -4/29)) (/.f64 16/841 (fma.f64 841/108 x -4/29)))
(*.f64 (fma.f64 841/108 x 4/29) 1)
(*.f64 1 (fma.f64 841/108 x 4/29))
(*.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2) (cbrt.f64 (fma.f64 841/108 x 4/29)))
(*.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) (sqrt.f64 (fma.f64 841/108 x 4/29)))
(*.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (/.f64 1 (-.f64 (fma.f64 707281/11664 (*.f64 x x) 16/841) (*.f64 x 29/27))))
(*.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (pow.f64 (/.f64 1 (-.f64 (fma.f64 707281/11664 (*.f64 x x) 16/841) (*.f64 x 29/27))) 1))
(*.f64 (fma.f64 707281/11664 (*.f64 x x) -16/841) (/.f64 1 (fma.f64 841/108 x -4/29)))
(*.f64 (fma.f64 707281/11664 (*.f64 x x) -16/841) (pow.f64 (/.f64 1 (fma.f64 841/108 x -4/29)) 1))
(*.f64 (pow.f64 1 1/3) (fma.f64 841/108 x 4/29))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 841/108 x 4/29))) 2) 3) (cbrt.f64 (fma.f64 841/108 x 4/29)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 841/108 x 4/29))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 841/108 x 4/29))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (fma.f64 841/108 x 4/29) (cbrt.f64 (fma.f64 841/108 x 4/29))) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 841/108 x 4/29))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (fma.f64 841/108 x 4/29))))
(/.f64 1 (/.f64 (-.f64 (fma.f64 707281/11664 (*.f64 x x) 16/841) (*.f64 x 29/27)) (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389)))
(/.f64 1 (/.f64 (fma.f64 841/108 x -4/29) (fma.f64 707281/11664 (*.f64 x x) -16/841)))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (-.f64 (fma.f64 707281/11664 (*.f64 x x) 16/841) (*.f64 x 29/27)))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 16/841 (-.f64 (*.f64 707281/11664 (*.f64 x x)) (*.f64 x 29/27))))
(/.f64 (fma.f64 707281/11664 (*.f64 x x) -16/841) (fma.f64 841/108 x -4/29))
(/.f64 (neg.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389)) (neg.f64 (-.f64 (fma.f64 707281/11664 (*.f64 x x) 16/841) (*.f64 x 29/27))))
(/.f64 (neg.f64 (fma.f64 707281/11664 (*.f64 x x) -16/841)) (neg.f64 (fma.f64 841/108 x -4/29)))
(/.f64 (-.f64 16/841 (*.f64 707281/11664 (*.f64 x x))) (-.f64 4/29 (*.f64 841/108 x)))
(pow.f64 (fma.f64 841/108 x 4/29) 1)
(pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 3)
(pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) 2)
(pow.f64 (/.f64 (-.f64 (fma.f64 707281/11664 (*.f64 x x) 16/841) (*.f64 x 29/27)) (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389)) -1)
(pow.f64 (/.f64 (fma.f64 841/108 x -4/29) (fma.f64 707281/11664 (*.f64 x x) -16/841)) -1)
(sqrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 2))
(log.f64 (exp.f64 (fma.f64 841/108 x 4/29)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 841/108 x 4/29))))
(cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3))
(expm1.f64 (log1p.f64 (fma.f64 841/108 x 4/29)))
(exp.f64 (log.f64 (fma.f64 841/108 x 4/29)))
(exp.f64 (*.f64 (log.f64 (fma.f64 841/108 x 4/29)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 841/108 x 4/29)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 841/108 x 4/29))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 841/108 x 4/29))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 841/108 x 4/29))) 2))
(log1p.f64 (expm1.f64 (fma.f64 841/108 x 4/29)))

simplify405.0ms (6.1%)

Algorithm
egg-herbie
Rules
778×times-frac
728×fma-def
662×log-prod
622×distribute-lft-in
614×distribute-rgt-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02032952
14512774
212802586
350482362
Stop Event
node limit
Counts
162 → 102
Calls
Call 1
Inputs
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
4/29
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
4/29
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 0 (*.f64 841/108 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 841/108) x)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 841/108) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 841/108) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 841/108) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 841/108 x))) 1)
(pow.f64 (*.f64 841/108 x) 1)
(pow.f64 (cbrt.f64 (*.f64 841/108 x)) 3)
(pow.f64 (*.f64 707281/11664 (*.f64 x x)) 1/2)
(pow.f64 (*.f64 594823321/1259712 (pow.f64 x 3)) 1/3)
(pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2)
(sqrt.f64 (*.f64 707281/11664 (*.f64 x x)))
(log.f64 (pow.f64 (exp.f64 841/108) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 841/108 x))))
(cbrt.f64 (*.f64 594823321/1259712 (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 841/108 x)))
(exp.f64 (log.f64 (*.f64 841/108 x)))
(exp.f64 (*.f64 (log.f64 (*.f64 841/108 x)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 841/108 x)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 841/108 x))) 3))
(exp.f64 (*.f64 (log.f64 (*.f64 594823321/1259712 (pow.f64 x 3))) 1/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 841/108 x)) 3) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 841/108 x))) 2))
(log1p.f64 (expm1.f64 (*.f64 841/108 x)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 841/108 x 4/29))) 1)
(-.f64 (/.f64 (*.f64 707281/11664 (*.f64 x x)) (fma.f64 841/108 x -4/29)) (/.f64 16/841 (fma.f64 841/108 x -4/29)))
(*.f64 (fma.f64 841/108 x 4/29) 1)
(*.f64 1 (fma.f64 841/108 x 4/29))
(*.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2) (cbrt.f64 (fma.f64 841/108 x 4/29)))
(*.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) (sqrt.f64 (fma.f64 841/108 x 4/29)))
(*.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (/.f64 1 (-.f64 (fma.f64 707281/11664 (*.f64 x x) 16/841) (*.f64 x 29/27))))
(*.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (pow.f64 (/.f64 1 (-.f64 (fma.f64 707281/11664 (*.f64 x x) 16/841) (*.f64 x 29/27))) 1))
(*.f64 (fma.f64 707281/11664 (*.f64 x x) -16/841) (/.f64 1 (fma.f64 841/108 x -4/29)))
(*.f64 (fma.f64 707281/11664 (*.f64 x x) -16/841) (pow.f64 (/.f64 1 (fma.f64 841/108 x -4/29)) 1))
(*.f64 (pow.f64 1 1/3) (fma.f64 841/108 x 4/29))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 841/108 x 4/29))) 2) 3) (cbrt.f64 (fma.f64 841/108 x 4/29)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 841/108 x 4/29))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 841/108 x 4/29))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (fma.f64 841/108 x 4/29) (cbrt.f64 (fma.f64 841/108 x 4/29))) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 841/108 x 4/29))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (fma.f64 841/108 x 4/29))))
(/.f64 1 (/.f64 (-.f64 (fma.f64 707281/11664 (*.f64 x x) 16/841) (*.f64 x 29/27)) (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389)))
(/.f64 1 (/.f64 (fma.f64 841/108 x -4/29) (fma.f64 707281/11664 (*.f64 x x) -16/841)))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (-.f64 (fma.f64 707281/11664 (*.f64 x x) 16/841) (*.f64 x 29/27)))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 16/841 (-.f64 (*.f64 707281/11664 (*.f64 x x)) (*.f64 x 29/27))))
(/.f64 (fma.f64 707281/11664 (*.f64 x x) -16/841) (fma.f64 841/108 x -4/29))
(/.f64 (neg.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389)) (neg.f64 (-.f64 (fma.f64 707281/11664 (*.f64 x x) 16/841) (*.f64 x 29/27))))
(/.f64 (neg.f64 (fma.f64 707281/11664 (*.f64 x x) -16/841)) (neg.f64 (fma.f64 841/108 x -4/29)))
(/.f64 (-.f64 16/841 (*.f64 707281/11664 (*.f64 x x))) (-.f64 4/29 (*.f64 841/108 x)))
(pow.f64 (fma.f64 841/108 x 4/29) 1)
(pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 3)
(pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) 2)
(pow.f64 (/.f64 (-.f64 (fma.f64 707281/11664 (*.f64 x x) 16/841) (*.f64 x 29/27)) (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389)) -1)
(pow.f64 (/.f64 (fma.f64 841/108 x -4/29) (fma.f64 707281/11664 (*.f64 x x) -16/841)) -1)
(sqrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 2))
(log.f64 (exp.f64 (fma.f64 841/108 x 4/29)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 841/108 x 4/29))))
(cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3))
(expm1.f64 (log1p.f64 (fma.f64 841/108 x 4/29)))
(exp.f64 (log.f64 (fma.f64 841/108 x 4/29)))
(exp.f64 (*.f64 (log.f64 (fma.f64 841/108 x 4/29)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 841/108 x 4/29)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 841/108 x 4/29))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 841/108 x 4/29))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 841/108 x 4/29))) 2))
(log1p.f64 (expm1.f64 (fma.f64 841/108 x 4/29)))
(fma.f64 841/108 x 4/29)
(fma.f64 x 841/108 4/29)
(fma.f64 (*.f64 841/108 x) 1 4/29)
(fma.f64 1 (*.f64 841/108 x) 4/29)
(fma.f64 (cbrt.f64 (*.f64 841/108 x)) (cbrt.f64 (*.f64 707281/11664 (*.f64 x x))) 4/29)
(fma.f64 (cbrt.f64 (*.f64 707281/11664 (*.f64 x x))) (cbrt.f64 (*.f64 841/108 x)) 4/29)
(fma.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) 841/108) 4/29)
(fma.f64 (sqrt.f64 (*.f64 841/108 x)) (sqrt.f64 (*.f64 841/108 x)) 4/29)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 841/108) 4/29)
(fma.f64 (*.f64 841/108 (cbrt.f64 (*.f64 x x))) (cbrt.f64 x) 4/29)
(fma.f64 (*.f64 841/108 (sqrt.f64 x)) (sqrt.f64 x) 4/29)
(+.f64 (*.f64 841/108 x) 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 0 (fma.f64 841/108 x 4/29))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 841/108 x 4/29))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 841/108 x 4/29)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 841/108 x 4/29)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 841/108 x 4/29)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 841/108 x 4/29))) 1)
(-.f64 (/.f64 (*.f64 707281/11664 (*.f64 x x)) (fma.f64 841/108 x -4/29)) (/.f64 16/841 (fma.f64 841/108 x -4/29)))
(*.f64 (fma.f64 841/108 x 4/29) 1)
(*.f64 1 (fma.f64 841/108 x 4/29))
(*.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2) (cbrt.f64 (fma.f64 841/108 x 4/29)))
(*.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) (sqrt.f64 (fma.f64 841/108 x 4/29)))
(*.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (/.f64 1 (-.f64 (fma.f64 707281/11664 (*.f64 x x) 16/841) (*.f64 x 29/27))))
(*.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (pow.f64 (/.f64 1 (-.f64 (fma.f64 707281/11664 (*.f64 x x) 16/841) (*.f64 x 29/27))) 1))
(*.f64 (fma.f64 707281/11664 (*.f64 x x) -16/841) (/.f64 1 (fma.f64 841/108 x -4/29)))
(*.f64 (fma.f64 707281/11664 (*.f64 x x) -16/841) (pow.f64 (/.f64 1 (fma.f64 841/108 x -4/29)) 1))
(*.f64 (pow.f64 1 1/3) (fma.f64 841/108 x 4/29))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 841/108 x 4/29))) 2) 3) (cbrt.f64 (fma.f64 841/108 x 4/29)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 841/108 x 4/29))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 841/108 x 4/29))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (fma.f64 841/108 x 4/29) (cbrt.f64 (fma.f64 841/108 x 4/29))) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 841/108 x 4/29))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (fma.f64 841/108 x 4/29))))
(/.f64 1 (/.f64 (-.f64 (fma.f64 707281/11664 (*.f64 x x) 16/841) (*.f64 x 29/27)) (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389)))
(/.f64 1 (/.f64 (fma.f64 841/108 x -4/29) (fma.f64 707281/11664 (*.f64 x x) -16/841)))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (-.f64 (fma.f64 707281/11664 (*.f64 x x) 16/841) (*.f64 x 29/27)))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 16/841 (-.f64 (*.f64 707281/11664 (*.f64 x x)) (*.f64 x 29/27))))
(/.f64 (fma.f64 707281/11664 (*.f64 x x) -16/841) (fma.f64 841/108 x -4/29))
(/.f64 (neg.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389)) (neg.f64 (-.f64 (fma.f64 707281/11664 (*.f64 x x) 16/841) (*.f64 x 29/27))))
(/.f64 (neg.f64 (fma.f64 707281/11664 (*.f64 x x) -16/841)) (neg.f64 (fma.f64 841/108 x -4/29)))
(/.f64 (-.f64 16/841 (*.f64 707281/11664 (*.f64 x x))) (-.f64 4/29 (*.f64 841/108 x)))
(pow.f64 (fma.f64 841/108 x 4/29) 1)
(pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 3)
(pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) 2)
(pow.f64 (/.f64 (-.f64 (fma.f64 707281/11664 (*.f64 x x) 16/841) (*.f64 x 29/27)) (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389)) -1)
(pow.f64 (/.f64 (fma.f64 841/108 x -4/29) (fma.f64 707281/11664 (*.f64 x x) -16/841)) -1)
(sqrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 2))
(log.f64 (exp.f64 (fma.f64 841/108 x 4/29)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 841/108 x 4/29))))
(cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3))
(expm1.f64 (log1p.f64 (fma.f64 841/108 x 4/29)))
(exp.f64 (log.f64 (fma.f64 841/108 x 4/29)))
(exp.f64 (*.f64 (log.f64 (fma.f64 841/108 x 4/29)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 841/108 x 4/29)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 841/108 x 4/29))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 841/108 x 4/29))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 841/108 x 4/29))) 2))
(log1p.f64 (expm1.f64 (fma.f64 841/108 x 4/29)))
Outputs
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
4/29
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
4/29
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 0 (*.f64 841/108 x))
(*.f64 841/108 x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 841/108) x)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 841/108) x))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 841/108) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 841/108) x))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 841/108) x))))
(*.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 841/108) x))) 3)
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 841/108) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 841/108) x))))
(*.f64 841/108 x)
(-.f64 (exp.f64 (log1p.f64 (*.f64 841/108 x))) 1)
(*.f64 841/108 x)
(pow.f64 (*.f64 841/108 x) 1)
(*.f64 841/108 x)
(pow.f64 (cbrt.f64 (*.f64 841/108 x)) 3)
(*.f64 841/108 x)
(pow.f64 (*.f64 707281/11664 (*.f64 x x)) 1/2)
(sqrt.f64 (*.f64 707281/11664 (*.f64 x x)))
(sqrt.f64 (*.f64 x (*.f64 x 707281/11664)))
(pow.f64 (*.f64 594823321/1259712 (pow.f64 x 3)) 1/3)
(*.f64 841/108 x)
(pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2)
(*.f64 841/108 x)
(sqrt.f64 (*.f64 707281/11664 (*.f64 x x)))
(sqrt.f64 (*.f64 x (*.f64 x 707281/11664)))
(log.f64 (pow.f64 (exp.f64 841/108) x))
(*.f64 841/108 x)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 841/108 x))))
(*.f64 841/108 x)
(cbrt.f64 (*.f64 594823321/1259712 (pow.f64 x 3)))
(*.f64 841/108 x)
(expm1.f64 (log1p.f64 (*.f64 841/108 x)))
(*.f64 841/108 x)
(exp.f64 (log.f64 (*.f64 841/108 x)))
(*.f64 841/108 x)
(exp.f64 (*.f64 (log.f64 (*.f64 841/108 x)) 1))
(*.f64 841/108 x)
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 841/108 x)) 1) 1))
(*.f64 841/108 x)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 841/108 x))) 3))
(*.f64 841/108 x)
(exp.f64 (*.f64 (log.f64 (*.f64 594823321/1259712 (pow.f64 x 3))) 1/3))
(*.f64 841/108 x)
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 841/108 x)) 3) 1/3))
(*.f64 841/108 x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 841/108 x))) 2))
(*.f64 841/108 x)
(log1p.f64 (expm1.f64 (*.f64 841/108 x)))
(*.f64 841/108 x)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 841/108 x 4/29))) 1)
(fma.f64 841/108 x 4/29)
(-.f64 (/.f64 (*.f64 707281/11664 (*.f64 x x)) (fma.f64 841/108 x -4/29)) (/.f64 16/841 (fma.f64 841/108 x -4/29)))
(-.f64 (/.f64 707281/11664 (/.f64 (fma.f64 841/108 x -4/29) (*.f64 x x))) (/.f64 16/841 (fma.f64 841/108 x -4/29)))
(+.f64 (/.f64 707281/11664 (/.f64 (fma.f64 841/108 x -4/29) (*.f64 x x))) (/.f64 -16/841 (fma.f64 841/108 x -4/29)))
(fma.f64 (/.f64 707281/11664 (fma.f64 841/108 x -4/29)) (*.f64 x x) (/.f64 16/841 (fma.f64 x -841/108 4/29)))
(/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 841/108 x -4/29))
(*.f64 (fma.f64 841/108 x 4/29) 1)
(fma.f64 841/108 x 4/29)
(*.f64 1 (fma.f64 841/108 x 4/29))
(fma.f64 841/108 x 4/29)
(*.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2))
(fma.f64 841/108 x 4/29)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2) (cbrt.f64 (fma.f64 841/108 x 4/29)))
(fma.f64 841/108 x 4/29)
(*.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) (sqrt.f64 (fma.f64 841/108 x 4/29)))
(fma.f64 841/108 x 4/29)
(*.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (/.f64 1 (-.f64 (fma.f64 707281/11664 (*.f64 x x) 16/841) (*.f64 x 29/27))))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 16/841 (*.f64 x (-.f64 (*.f64 x 707281/11664) 29/27))))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (fma.f64 x (fma.f64 x 707281/11664 -29/27) 16/841))
(*.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (pow.f64 (/.f64 1 (-.f64 (fma.f64 707281/11664 (*.f64 x x) 16/841) (*.f64 x 29/27))) 1))
(*.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (/.f64 1 (-.f64 (fma.f64 707281/11664 (*.f64 x x) 16/841) (*.f64 x 29/27))))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 16/841 (*.f64 x (-.f64 (*.f64 x 707281/11664) 29/27))))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (fma.f64 x (fma.f64 x 707281/11664 -29/27) 16/841))
(*.f64 (fma.f64 707281/11664 (*.f64 x x) -16/841) (/.f64 1 (fma.f64 841/108 x -4/29)))
(-.f64 (/.f64 707281/11664 (/.f64 (fma.f64 841/108 x -4/29) (*.f64 x x))) (/.f64 16/841 (fma.f64 841/108 x -4/29)))
(+.f64 (/.f64 707281/11664 (/.f64 (fma.f64 841/108 x -4/29) (*.f64 x x))) (/.f64 -16/841 (fma.f64 841/108 x -4/29)))
(fma.f64 (/.f64 707281/11664 (fma.f64 841/108 x -4/29)) (*.f64 x x) (/.f64 16/841 (fma.f64 x -841/108 4/29)))
(/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 841/108 x -4/29))
(*.f64 (fma.f64 707281/11664 (*.f64 x x) -16/841) (pow.f64 (/.f64 1 (fma.f64 841/108 x -4/29)) 1))
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(*.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (/.f64 1 (-.f64 (fma.f64 707281/11664 (*.f64 x x) 16/841) (*.f64 x 29/27))))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 16/841 (*.f64 x (-.f64 (*.f64 x 707281/11664) 29/27))))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (fma.f64 x (fma.f64 x 707281/11664 -29/27) 16/841))
(/.f64 1 (/.f64 (fma.f64 841/108 x -4/29) (fma.f64 707281/11664 (*.f64 x x) -16/841)))
(-.f64 (/.f64 707281/11664 (/.f64 (fma.f64 841/108 x -4/29) (*.f64 x x))) (/.f64 16/841 (fma.f64 841/108 x -4/29)))
(+.f64 (/.f64 707281/11664 (/.f64 (fma.f64 841/108 x -4/29) (*.f64 x x))) (/.f64 -16/841 (fma.f64 841/108 x -4/29)))
(fma.f64 (/.f64 707281/11664 (fma.f64 841/108 x -4/29)) (*.f64 x x) (/.f64 16/841 (fma.f64 x -841/108 4/29)))
(/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 841/108 x -4/29))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (-.f64 (fma.f64 707281/11664 (*.f64 x x) 16/841) (*.f64 x 29/27)))
(*.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (/.f64 1 (-.f64 (fma.f64 707281/11664 (*.f64 x x) 16/841) (*.f64 x 29/27))))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 16/841 (*.f64 x (-.f64 (*.f64 x 707281/11664) 29/27))))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (fma.f64 x (fma.f64 x 707281/11664 -29/27) 16/841))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 16/841 (-.f64 (*.f64 707281/11664 (*.f64 x x)) (*.f64 x 29/27))))
(*.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (/.f64 1 (-.f64 (fma.f64 707281/11664 (*.f64 x x) 16/841) (*.f64 x 29/27))))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 16/841 (*.f64 x (-.f64 (*.f64 x 707281/11664) 29/27))))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (fma.f64 x (fma.f64 x 707281/11664 -29/27) 16/841))
(/.f64 (fma.f64 707281/11664 (*.f64 x x) -16/841) (fma.f64 841/108 x -4/29))
(-.f64 (/.f64 707281/11664 (/.f64 (fma.f64 841/108 x -4/29) (*.f64 x x))) (/.f64 16/841 (fma.f64 841/108 x -4/29)))
(+.f64 (/.f64 707281/11664 (/.f64 (fma.f64 841/108 x -4/29) (*.f64 x x))) (/.f64 -16/841 (fma.f64 841/108 x -4/29)))
(fma.f64 (/.f64 707281/11664 (fma.f64 841/108 x -4/29)) (*.f64 x x) (/.f64 16/841 (fma.f64 x -841/108 4/29)))
(/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 841/108 x -4/29))
(/.f64 (neg.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389)) (neg.f64 (-.f64 (fma.f64 707281/11664 (*.f64 x x) 16/841) (*.f64 x 29/27))))
(*.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (/.f64 1 (-.f64 (fma.f64 707281/11664 (*.f64 x x) 16/841) (*.f64 x 29/27))))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 16/841 (*.f64 x (-.f64 (*.f64 x 707281/11664) 29/27))))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (fma.f64 x (fma.f64 x 707281/11664 -29/27) 16/841))
(/.f64 (neg.f64 (fma.f64 707281/11664 (*.f64 x x) -16/841)) (neg.f64 (fma.f64 841/108 x -4/29)))
(-.f64 (/.f64 707281/11664 (/.f64 (fma.f64 841/108 x -4/29) (*.f64 x x))) (/.f64 16/841 (fma.f64 841/108 x -4/29)))
(+.f64 (/.f64 707281/11664 (/.f64 (fma.f64 841/108 x -4/29) (*.f64 x x))) (/.f64 -16/841 (fma.f64 841/108 x -4/29)))
(fma.f64 (/.f64 707281/11664 (fma.f64 841/108 x -4/29)) (*.f64 x x) (/.f64 16/841 (fma.f64 x -841/108 4/29)))
(/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 841/108 x -4/29))
(/.f64 (-.f64 16/841 (*.f64 707281/11664 (*.f64 x x))) (-.f64 4/29 (*.f64 841/108 x)))
(-.f64 (/.f64 707281/11664 (/.f64 (fma.f64 841/108 x -4/29) (*.f64 x x))) (/.f64 16/841 (fma.f64 841/108 x -4/29)))
(+.f64 (/.f64 707281/11664 (/.f64 (fma.f64 841/108 x -4/29) (*.f64 x x))) (/.f64 -16/841 (fma.f64 841/108 x -4/29)))
(fma.f64 (/.f64 707281/11664 (fma.f64 841/108 x -4/29)) (*.f64 x x) (/.f64 16/841 (fma.f64 x -841/108 4/29)))
(/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 841/108 x -4/29))
(pow.f64 (fma.f64 841/108 x 4/29) 1)
(fma.f64 841/108 x 4/29)
(pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 3)
(fma.f64 841/108 x 4/29)
(pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) 2) 1/2)
(fma.f64 841/108 x 4/29)
(pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3) 1/3)
(fma.f64 841/108 x 4/29)
(pow.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) 2)
(fma.f64 841/108 x 4/29)
(pow.f64 (/.f64 (-.f64 (fma.f64 707281/11664 (*.f64 x x) 16/841) (*.f64 x 29/27)) (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389)) -1)
(*.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (/.f64 1 (-.f64 (fma.f64 707281/11664 (*.f64 x x) 16/841) (*.f64 x 29/27))))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 16/841 (*.f64 x (-.f64 (*.f64 x 707281/11664) 29/27))))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (fma.f64 x (fma.f64 x 707281/11664 -29/27) 16/841))
(pow.f64 (/.f64 (fma.f64 841/108 x -4/29) (fma.f64 707281/11664 (*.f64 x x) -16/841)) -1)
(-.f64 (/.f64 707281/11664 (/.f64 (fma.f64 841/108 x -4/29) (*.f64 x x))) (/.f64 16/841 (fma.f64 841/108 x -4/29)))
(+.f64 (/.f64 707281/11664 (/.f64 (fma.f64 841/108 x -4/29) (*.f64 x x))) (/.f64 -16/841 (fma.f64 841/108 x -4/29)))
(fma.f64 (/.f64 707281/11664 (fma.f64 841/108 x -4/29)) (*.f64 x x) (/.f64 16/841 (fma.f64 x -841/108 4/29)))
(/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 841/108 x -4/29))
(sqrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 2))
(fma.f64 841/108 x 4/29)
(log.f64 (exp.f64 (fma.f64 841/108 x 4/29)))
(fma.f64 841/108 x 4/29)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 841/108 x 4/29))))
(fma.f64 841/108 x 4/29)
(cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3))
(fma.f64 841/108 x 4/29)
(expm1.f64 (log1p.f64 (fma.f64 841/108 x 4/29)))
(fma.f64 841/108 x 4/29)
(exp.f64 (log.f64 (fma.f64 841/108 x 4/29)))
(fma.f64 841/108 x 4/29)
(exp.f64 (*.f64 (log.f64 (fma.f64 841/108 x 4/29)) 1))
(fma.f64 841/108 x 4/29)
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 841/108 x 4/29)) 1) 1))
(fma.f64 841/108 x 4/29)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 841/108 x 4/29))) 3))
(fma.f64 841/108 x 4/29)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 841/108 x 4/29))) 1/3))
(fma.f64 841/108 x 4/29)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 841/108 x 4/29))) 2))
(fma.f64 841/108 x 4/29)
(log1p.f64 (expm1.f64 (fma.f64 841/108 x 4/29)))
(fma.f64 841/108 x 4/29)

eval72.0ms (1.1%)

Compiler

Compiled 1167 to 940 computations (19.5% saved)

prune30.0ms (0.4%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New948102
Fresh000
Picked112
Done000
Total959104
Accurracy
100.0%
Counts
104 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.9%
(fma.f64 (*.f64 841/108 (sqrt.f64 x)) (sqrt.f64 x) 4/29)
99.9%
(fma.f64 841/108 x 4/29)
74.5%
(/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 841/108 x -4/29))
74.5%
(/.f64 (-.f64 16/841 (*.f64 707281/11664 (*.f64 x x))) (-.f64 4/29 (*.f64 841/108 x)))
50.9%
(+.f64 (pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2) (/.f64 4 29))
98.9%
(+.f64 (pow.f64 (cbrt.f64 (*.f64 841/108 x)) 3) (/.f64 4 29))
99.9%
(+.f64 (*.f64 841/108 x) 4/29)
59.7%
(+.f64 (sqrt.f64 (*.f64 x (*.f64 x 707281/11664))) (/.f64 4 29))
48.2%
4/29
50.9%
(fma.f64 (*.f64 841/108 (sqrt.f64 x)) (sqrt.f64 x) 4/29)
99.9%
(fma.f64 841/108 x 4/29)
74.5%
(/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 841/108 x -4/29))
74.5%
(/.f64 (-.f64 16/841 (*.f64 707281/11664 (*.f64 x x))) (-.f64 4/29 (*.f64 841/108 x)))
50.9%
(+.f64 (pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2) (/.f64 4 29))
98.9%
(+.f64 (pow.f64 (cbrt.f64 (*.f64 841/108 x)) 3) (/.f64 4 29))
99.9%
(+.f64 (*.f64 841/108 x) 4/29)
59.7%
(+.f64 (sqrt.f64 (*.f64 x (*.f64 x 707281/11664))) (/.f64 4 29))
48.2%
4/29
Compiler

Compiled 310 to 252 computations (18.7% saved)

localize192.0ms (2.9%)

Local Accuracy

Found 14 expressions with local accuracy:

NewAccuracyProgram
99.9%
(sqrt.f64 (*.f64 841/108 x))
99.9%
(*.f64 841/108 x)
99.6%
(pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2)
99.9%
(*.f64 841/108 x)
99.5%
(cbrt.f64 (*.f64 841/108 x))
99.4%
(pow.f64 (cbrt.f64 (*.f64 841/108 x)) 3)
100.0%
(*.f64 x (*.f64 x 707281/11664))
99.9%
(*.f64 x 707281/11664)
73.6%
(sqrt.f64 (*.f64 x (*.f64 x 707281/11664)))
100.0%
(-.f64 4/29 (*.f64 841/108 x))
99.9%
(*.f64 841/108 x)
99.9%
(*.f64 707281/11664 (*.f64 x x))
85.4%
(/.f64 (-.f64 16/841 (*.f64 707281/11664 (*.f64 x x))) (-.f64 4/29 (*.f64 841/108 x)))
99.9%
(*.f64 841/108 x)
Compiler

Compiled 147 to 111 computations (24.5% saved)

series12.0ms (0.2%)

Counts
14 → 72
Calls

42 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2)
1.0ms
x
@-inf
(pow.f64 (cbrt.f64 (*.f64 841/108 x)) 3)
1.0ms
x
@0
(pow.f64 (cbrt.f64 (*.f64 841/108 x)) 3)
1.0ms
x
@0
(pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2)
1.0ms
x
@inf
(pow.f64 (cbrt.f64 (*.f64 841/108 x)) 3)

rewrite963.0ms (14.4%)

Algorithm
batch-egg-rewrite
Rules
1430×prod-diff
660×expm1-udef
650×log1p-udef
426×add-sqr-sqrt
408×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
023154
1512130
25681130
Stop Event
node limit
Counts
14 → 528
Calls
Call 1
Inputs
(*.f64 841/108 x)
(/.f64 (-.f64 16/841 (*.f64 707281/11664 (*.f64 x x))) (-.f64 4/29 (*.f64 841/108 x)))
(*.f64 707281/11664 (*.f64 x x))
(*.f64 841/108 x)
(-.f64 4/29 (*.f64 841/108 x))
(sqrt.f64 (*.f64 x (*.f64 x 707281/11664)))
(*.f64 x 707281/11664)
(*.f64 x (*.f64 x 707281/11664))
(pow.f64 (cbrt.f64 (*.f64 841/108 x)) 3)
(cbrt.f64 (*.f64 841/108 x))
(*.f64 841/108 x)
(pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2)
(*.f64 841/108 x)
(sqrt.f64 (*.f64 841/108 x))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 841/108 x))) 1)
(pow.f64 (*.f64 841/108 x) 1)
(pow.f64 (*.f64 x (*.f64 x 707281/11664)) 1/2)
(pow.f64 (cbrt.f64 (*.f64 841/108 x)) 3)
(pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2)
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 707281/11664))) 3/2)
(pow.f64 (*.f64 594823321/1259712 (pow.f64 x 3)) 1/3)
(sqrt.f64 (*.f64 x (*.f64 x 707281/11664)))
(fabs.f64 (*.f64 841/108 x))
(log.f64 (pow.f64 (exp.f64 841/108) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 841/108 x))))
(cbrt.f64 (*.f64 594823321/1259712 (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 841/108 x)))
(exp.f64 (log.f64 (*.f64 841/108 x)))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x 707281/11664))) 1/2))
(exp.f64 (*.f64 (log.f64 (*.f64 841/108 x)) 1))
(log1p.f64 (expm1.f64 (*.f64 841/108 x)))
(+.f64 (*.f64 841/108 x) 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 (/.f64 16/841 (+.f64 4/29 (*.f64 x -841/108))) (neg.f64 (*.f64 707281/11664 (/.f64 (*.f64 x x) (+.f64 4/29 (*.f64 x -841/108))))))
(+.f64 (fma.f64 16/841 (/.f64 1 (+.f64 4/29 (*.f64 x -841/108))) (neg.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 4/29 (*.f64 x -841/108))) 707281/11664))) (fma.f64 (neg.f64 (/.f64 (*.f64 x x) (+.f64 4/29 (*.f64 x -841/108)))) 707281/11664 (*.f64 (/.f64 (*.f64 x x) (+.f64 4/29 (*.f64 x -841/108))) 707281/11664)))
(+.f64 (fma.f64 16/841 (/.f64 1 (+.f64 4/29 (*.f64 x -841/108))) (neg.f64 (*.f64 (/.f64 1 (+.f64 4/29 (*.f64 x -841/108))) (*.f64 x (*.f64 x 707281/11664))))) (fma.f64 (neg.f64 (/.f64 1 (+.f64 4/29 (*.f64 x -841/108)))) (*.f64 x (*.f64 x 707281/11664)) (*.f64 (/.f64 1 (+.f64 4/29 (*.f64 x -841/108))) (*.f64 x (*.f64 x 707281/11664)))))
(+.f64 (fma.f64 16/841 (/.f64 1 (+.f64 4/29 (*.f64 x -841/108))) (neg.f64 (*.f64 (*.f64 707281/11664 (/.f64 (*.f64 x x) (+.f64 4/29 (*.f64 x -841/108)))) 1))) (fma.f64 (neg.f64 (*.f64 707281/11664 (/.f64 (*.f64 x x) (+.f64 4/29 (*.f64 x -841/108))))) 1 (*.f64 (*.f64 707281/11664 (/.f64 (*.f64 x x) (+.f64 4/29 (*.f64 x -841/108)))) 1)))
(+.f64 (fma.f64 16/841 (/.f64 1 (+.f64 4/29 (*.f64 x -841/108))) (neg.f64 (*.f64 (cbrt.f64 (*.f64 707281/11664 (/.f64 (*.f64 x x) (+.f64 4/29 (*.f64 x -841/108))))) (*.f64 (cbrt.f64 (*.f64 707281/11664 (/.f64 (*.f64 x x) (+.f64 4/29 (*.f64 x -841/108))))) (cbrt.f64 (*.f64 707281/11664 (/.f64 (*.f64 x x) (+.f64 4/29 (*.f64 x -841/108))))))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 707281/11664 (/.f64 (*.f64 x x) (+.f64 4/29 (*.f64 x -841/108)))))) (*.f64 (cbrt.f64 (*.f64 707281/11664 (/.f64 (*.f64 x x) (+.f64 4/29 (*.f64 x -841/108))))) (cbrt.f64 (*.f64 707281/11664 (/.f64 (*.f64 x x) (+.f64 4/29 (*.f64 x -841/108)))))) (*.f64 (cbrt.f64 (*.f64 707281/11664 (/.f64 (*.f64 x x) (+.f64 4/29 (*.f64 x -841/108))))) (*.f64 (cbrt.f64 (*.f64 707281/11664 (/.f64 (*.f64 x x) (+.f64 4/29 (*.f64 x -841/108))))) (cbrt.f64 (*.f64 707281/11664 (/.f64 (*.f64 x x) (+.f64 4/29 (*.f64 x -841/108)))))))))
(+.f64 (fma.f64 16/841 (/.f64 1 (+.f64 4/29 (*.f64 x -841/108))) (neg.f64 (*.f64 707281/11664 (/.f64 (*.f64 x x) (+.f64 4/29 (*.f64 x -841/108)))))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 707281/11664 (/.f64 (*.f64 x x) (+.f64 4/29 (*.f64 x -841/108)))))) (sqrt.f64 (*.f64 707281/11664 (/.f64 (*.f64 x x) (+.f64 4/29 (*.f64 x -841/108))))) (*.f64 707281/11664 (/.f64 (*.f64 x x) (+.f64 4/29 (*.f64 x -841/108))))))
(+.f64 (fma.f64 16/841 (/.f64 1 (+.f64 4/29 (*.f64 x -841/108))) (neg.f64 (*.f64 707281/11664 (/.f64 (*.f64 x x) (+.f64 4/29 (*.f64 x -841/108)))))) (fma.f64 (neg.f64 (/.f64 (*.f64 x 707281/11664) (sqrt.f64 (+.f64 4/29 (*.f64 x -841/108))))) (/.f64 x (sqrt.f64 (+.f64 4/29 (*.f64 x -841/108)))) (*.f64 707281/11664 (/.f64 (*.f64 x x) (+.f64 4/29 (*.f64 x -841/108))))))
(+.f64 (fma.f64 16/841 (/.f64 1 (+.f64 4/29 (*.f64 x -841/108))) (neg.f64 (*.f64 707281/11664 (/.f64 (*.f64 x x) (+.f64 4/29 (*.f64 x -841/108)))))) (fma.f64 (neg.f64 (/.f64 x (sqrt.f64 (+.f64 4/29 (*.f64 x -841/108))))) (/.f64 (*.f64 x 707281/11664) (sqrt.f64 (+.f64 4/29 (*.f64 x -841/108)))) (*.f64 707281/11664 (/.f64 (*.f64 x x) (+.f64 4/29 (*.f64 x -841/108))))))
(+.f64 (fma.f64 16/841 (/.f64 1 (+.f64 4/29 (*.f64 x -841/108))) (neg.f64 (*.f64 707281/11664 (/.f64 (*.f64 x x) (+.f64 4/29 (*.f64 x -841/108)))))) (fma.f64 (neg.f64 (/.f64 (*.f64 x x) (sqrt.f64 (+.f64 4/29 (*.f64 x -841/108))))) (/.f64 707281/11664 (sqrt.f64 (+.f64 4/29 (*.f64 x -841/108)))) (*.f64 707281/11664 (/.f64 (*.f64 x x) (+.f64 4/29 (*.f64 x -841/108))))))
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(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x 707281/11664))) 1/2))
(exp.f64 (*.f64 (log.f64 (*.f64 841/108 x)) 1))
(log1p.f64 (expm1.f64 (*.f64 841/108 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 841/108 x))) 1)
(pow.f64 (*.f64 841/108 x) 1)
(pow.f64 (*.f64 x (*.f64 x 707281/11664)) 1/2)
(pow.f64 (cbrt.f64 (*.f64 841/108 x)) 3)
(pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2)
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 707281/11664))) 3/2)
(pow.f64 (*.f64 594823321/1259712 (pow.f64 x 3)) 1/3)
(sqrt.f64 (*.f64 x (*.f64 x 707281/11664)))
(fabs.f64 (*.f64 841/108 x))
(log.f64 (pow.f64 (exp.f64 841/108) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 841/108 x))))
(cbrt.f64 (*.f64 594823321/1259712 (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 841/108 x)))
(exp.f64 (log.f64 (*.f64 841/108 x)))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x 707281/11664))) 1/2))
(exp.f64 (*.f64 (log.f64 (*.f64 841/108 x)) 1))
(log1p.f64 (expm1.f64 (*.f64 841/108 x)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 841/108 x)))) 1)
(*.f64 (cbrt.f64 (*.f64 841/108 x)) (pow.f64 (*.f64 841/108 x) 1/6))
(*.f64 (sqrt.f64 (*.f64 841/108 x)) 1)
(*.f64 1 (sqrt.f64 (*.f64 841/108 x)))
(*.f64 (pow.f64 (*.f64 841/108 x) 1/4) (pow.f64 (*.f64 841/108 x) 1/4))
(*.f64 (pow.f64 (*.f64 841/108 x) 1/6) (cbrt.f64 (*.f64 841/108 x)))
(*.f64 (pow.f64 (*.f64 841/108 x) 1/6) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 707281/11664))) 1/2))
(*.f64 (sqrt.f64 841/108) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 841/108))
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (*.f64 841/108 (sqrt.f64 x))))
(*.f64 (pow.f64 1 3/2) (sqrt.f64 (*.f64 841/108 x)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (*.f64 x 707281/11664)))) 3/2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 841/108 x))) 3/2))
(*.f64 (pow.f64 (cbrt.f64 841/108) 3/2) (pow.f64 (cbrt.f64 x) 3/2))
(*.f64 (pow.f64 (pow.f64 (*.f64 841/108 x) 1/6) 3/2) (pow.f64 (pow.f64 (*.f64 841/108 x) 1/6) 3/2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 707281/11664))) 1/2) (pow.f64 (*.f64 841/108 x) 1/6))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 841/108 x)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 841/108 x)) 3/4) (pow.f64 (cbrt.f64 (*.f64 841/108 x)) 3/4))
(pow.f64 (*.f64 841/108 x) 1/2)
(pow.f64 (*.f64 x (*.f64 x 707281/11664)) 1/4)
(pow.f64 (cbrt.f64 (*.f64 841/108 x)) 3/2)
(pow.f64 (sqrt.f64 (*.f64 841/108 x)) 1)
(pow.f64 (pow.f64 (*.f64 841/108 x) 3/2) 1/3)
(pow.f64 (pow.f64 (*.f64 841/108 x) 1/4) 2)
(pow.f64 (pow.f64 (*.f64 841/108 x) 1/6) 3)
(fabs.f64 (sqrt.f64 (*.f64 841/108 x)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 841/108 x))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 841/108 x)))))
(cbrt.f64 (pow.f64 (*.f64 841/108 x) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 841/108 x))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 841/108 x))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 841/108 x))) 3/2))
(exp.f64 (*.f64 (log.f64 (*.f64 841/108 x)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 841/108 x))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 841/108 x))))

simplify236.0ms (3.5%)

Algorithm
egg-herbie
Rules
912×associate-*r*
874×times-frac
860×associate-*l*
376×associate-+r+
376×associate-+l+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
08344294999658
1206924298
Stop Event
node limit
Counts
600 → 453
Calls
Call 1
Inputs
4/29
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
4/29
(+.f64 (*.f64 -841/108 x) 4/29)
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(+.f64 (*.f64 -841/108 x) 4/29)
(*.f64 -841/108 x)
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(+.f64 4/29 (*.f64 -841/108 x))
(+.f64 4/29 (*.f64 -841/108 x))
(*.f64 -841/108 x)
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(+.f64 4/29 (*.f64 -841/108 x))
(+.f64 4/29 (*.f64 -841/108 x))
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 -841/108 x)
(*.f64 -841/108 x)
(*.f64 -841/108 x)
(*.f64 -841/108 x)
(*.f64 707281/11664 x)
(*.f64 707281/11664 x)
(*.f64 707281/11664 x)
(*.f64 707281/11664 x)
(*.f64 707281/11664 x)
(*.f64 707281/11664 x)
(*.f64 707281/11664 x)
(*.f64 707281/11664 x)
(*.f64 707281/11664 x)
(*.f64 707281/11664 x)
(*.f64 707281/11664 x)
(*.f64 707281/11664 x)
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 841/108 x))) 1)
(pow.f64 (*.f64 841/108 x) 1)
(pow.f64 (*.f64 x (*.f64 x 707281/11664)) 1/2)
(pow.f64 (cbrt.f64 (*.f64 841/108 x)) 3)
(pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2)
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 707281/11664))) 3/2)
(pow.f64 (*.f64 594823321/1259712 (pow.f64 x 3)) 1/3)
(sqrt.f64 (*.f64 x (*.f64 x 707281/11664)))
(fabs.f64 (*.f64 841/108 x))
(log.f64 (pow.f64 (exp.f64 841/108) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 841/108 x))))
(cbrt.f64 (*.f64 594823321/1259712 (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 841/108 x)))
(exp.f64 (log.f64 (*.f64 841/108 x)))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x 707281/11664))) 1/2))
(exp.f64 (*.f64 (log.f64 (*.f64 841/108 x)) 1))
(log1p.f64 (expm1.f64 (*.f64 841/108 x)))
(+.f64 (*.f64 841/108 x) 4/29)
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(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 841/108 x))) 3/2))
(exp.f64 (*.f64 (log.f64 (*.f64 841/108 x)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 841/108 x))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 841/108 x))))
Outputs
4/29
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 x (*.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 x (*.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 x (*.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 x (*.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 x (*.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 x (*.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 x (*.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 x (*.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 x (*.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 x (*.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 x (*.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 x (*.f64 x 707281/11664))
4/29
(+.f64 (*.f64 -841/108 x) 4/29)
(fma.f64 x -841/108 4/29)
(+.f64 (*.f64 -841/108 x) 4/29)
(fma.f64 x -841/108 4/29)
(+.f64 (*.f64 -841/108 x) 4/29)
(fma.f64 x -841/108 4/29)
(*.f64 -841/108 x)
(*.f64 x -841/108)
(+.f64 4/29 (*.f64 -841/108 x))
(fma.f64 x -841/108 4/29)
(+.f64 4/29 (*.f64 -841/108 x))
(fma.f64 x -841/108 4/29)
(+.f64 4/29 (*.f64 -841/108 x))
(fma.f64 x -841/108 4/29)
(*.f64 -841/108 x)
(*.f64 x -841/108)
(+.f64 4/29 (*.f64 -841/108 x))
(fma.f64 x -841/108 4/29)
(+.f64 4/29 (*.f64 -841/108 x))
(fma.f64 x -841/108 4/29)
(+.f64 4/29 (*.f64 -841/108 x))
(fma.f64 x -841/108 4/29)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 -841/108 x)
(*.f64 x -841/108)
(*.f64 -841/108 x)
(*.f64 x -841/108)
(*.f64 -841/108 x)
(*.f64 x -841/108)
(*.f64 -841/108 x)
(*.f64 x -841/108)
(*.f64 707281/11664 x)
(*.f64 x 707281/11664)
(*.f64 707281/11664 x)
(*.f64 x 707281/11664)
(*.f64 707281/11664 x)
(*.f64 x 707281/11664)
(*.f64 707281/11664 x)
(*.f64 x 707281/11664)
(*.f64 707281/11664 x)
(*.f64 x 707281/11664)
(*.f64 707281/11664 x)
(*.f64 x 707281/11664)
(*.f64 707281/11664 x)
(*.f64 x 707281/11664)
(*.f64 707281/11664 x)
(*.f64 x 707281/11664)
(*.f64 707281/11664 x)
(*.f64 x 707281/11664)
(*.f64 707281/11664 x)
(*.f64 x 707281/11664)
(*.f64 707281/11664 x)
(*.f64 x 707281/11664)
(*.f64 707281/11664 x)
(*.f64 x 707281/11664)
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 x (*.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 x (*.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 x (*.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 x (*.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 x (*.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 x (*.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 x (*.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 x (*.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 x (*.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 x (*.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 x (*.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 x (*.f64 x 707281/11664))
(-.f64 (exp.f64 (log1p.f64 (*.f64 841/108 x))) 1)
(*.f64 841/108 x)
(pow.f64 (*.f64 841/108 x) 1)
(*.f64 841/108 x)
(pow.f64 (*.f64 x (*.f64 x 707281/11664)) 1/2)
(*.f64 841/108 x)
(pow.f64 (cbrt.f64 (*.f64 841/108 x)) 3)
(*.f64 841/108 x)
(pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2)
(*.f64 841/108 x)
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 707281/11664))) 3/2)
(pow.f64 (*.f64 594823321/1259712 (pow.f64 x 3)) 1/3)
(cbrt.f64 (*.f64 594823321/1259712 (pow.f64 x 3)))
(sqrt.f64 (*.f64 x (*.f64 x 707281/11664)))
(*.f64 841/108 x)
(fabs.f64 (*.f64 841/108 x))
(*.f64 841/108 x)
(log.f64 (pow.f64 (exp.f64 841/108) x))
(*.f64 841/108 x)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 841/108 x))))
(*.f64 841/108 x)
(cbrt.f64 (*.f64 594823321/1259712 (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 841/108 x)))
(*.f64 841/108 x)
(exp.f64 (log.f64 (*.f64 841/108 x)))
(*.f64 841/108 x)
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x 707281/11664))) 1/2))
(*.f64 841/108 x)
(exp.f64 (*.f64 (log.f64 (*.f64 841/108 x)) 1))
(*.f64 841/108 x)
(log1p.f64 (expm1.f64 (*.f64 841/108 x)))
(*.f64 841/108 x)
(+.f64 (*.f64 841/108 x) 4/29)
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 (/.f64 16/841 (+.f64 4/29 (*.f64 x -841/108))) (neg.f64 (*.f64 707281/11664 (/.f64 (*.f64 x x) (+.f64 4/29 (*.f64 x -841/108))))))
(-.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29)) (*.f64 (*.f64 x 707281/11664) (/.f64 x (fma.f64 x -841/108 4/29))))
(/.f64 (+.f64 16/841 (*.f64 x (*.f64 x -707281/11664))) (fma.f64 x -841/108 4/29))
(+.f64 (fma.f64 16/841 (/.f64 1 (+.f64 4/29 (*.f64 x -841/108))) (neg.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 4/29 (*.f64 x -841/108))) 707281/11664))) (fma.f64 (neg.f64 (/.f64 (*.f64 x x) (+.f64 4/29 (*.f64 x -841/108)))) 707281/11664 (*.f64 (/.f64 (*.f64 x x) (+.f64 4/29 (*.f64 x -841/108))) 707281/11664)))
(+.f64 (fma.f64 16/841 (/.f64 1 (fma.f64 x -841/108 4/29)) (*.f64 (/.f64 x (/.f64 (fma.f64 x -841/108 4/29) x)) -707281/11664)) (fma.f64 (/.f64 -707281/11664 (fma.f64 x -841/108 4/29)) (*.f64 x x) (*.f64 (*.f64 x 707281/11664) (/.f64 x (fma.f64 x -841/108 4/29)))))
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(+.f64 (fma.f64 16/841 (/.f64 1 (fma.f64 x -841/108 4/29)) (*.f64 (/.f64 x (/.f64 (fma.f64 x -841/108 4/29) x)) -707281/11664)) (fma.f64 (/.f64 -707281/11664 (fma.f64 x -841/108 4/29)) (*.f64 x x) (*.f64 (*.f64 x 707281/11664) (/.f64 x (fma.f64 x -841/108 4/29)))))
(+.f64 (*.f64 (*.f64 x (/.f64 x (fma.f64 x -841/108 4/29))) 0) (/.f64 (+.f64 16/841 (*.f64 x (*.f64 x -707281/11664))) (fma.f64 x -841/108 4/29)))
(+.f64 (fma.f64 16/841 (/.f64 1 (+.f64 4/29 (*.f64 x -841/108))) (neg.f64 (*.f64 (*.f64 707281/11664 (/.f64 (*.f64 x x) (+.f64 4/29 (*.f64 x -841/108)))) 1))) (fma.f64 (neg.f64 (*.f64 707281/11664 (/.f64 (*.f64 x x) (+.f64 4/29 (*.f64 x -841/108))))) 1 (*.f64 (*.f64 707281/11664 (/.f64 (*.f64 x x) (+.f64 4/29 (*.f64 x -841/108)))) 1)))
(+.f64 (fma.f64 16/841 (/.f64 1 (fma.f64 x -841/108 4/29)) (*.f64 (/.f64 x (/.f64 (fma.f64 x -841/108 4/29) x)) -707281/11664)) (fma.f64 (/.f64 -707281/11664 (fma.f64 x -841/108 4/29)) (*.f64 x x) (*.f64 (*.f64 x 707281/11664) (/.f64 x (fma.f64 x -841/108 4/29)))))
(+.f64 (*.f64 (*.f64 x (/.f64 x (fma.f64 x -841/108 4/29))) 0) (/.f64 (+.f64 16/841 (*.f64 x (*.f64 x -707281/11664))) (fma.f64 x -841/108 4/29)))
(+.f64 (fma.f64 16/841 (/.f64 1 (+.f64 4/29 (*.f64 x -841/108))) (neg.f64 (*.f64 (cbrt.f64 (*.f64 707281/11664 (/.f64 (*.f64 x x) (+.f64 4/29 (*.f64 x -841/108))))) (*.f64 (cbrt.f64 (*.f64 707281/11664 (/.f64 (*.f64 x x) (+.f64 4/29 (*.f64 x -841/108))))) (cbrt.f64 (*.f64 707281/11664 (/.f64 (*.f64 x x) (+.f64 4/29 (*.f64 x -841/108))))))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 707281/11664 (/.f64 (*.f64 x x) (+.f64 4/29 (*.f64 x -841/108)))))) (*.f64 (cbrt.f64 (*.f64 707281/11664 (/.f64 (*.f64 x x) (+.f64 4/29 (*.f64 x -841/108))))) (cbrt.f64 (*.f64 707281/11664 (/.f64 (*.f64 x x) (+.f64 4/29 (*.f64 x -841/108)))))) (*.f64 (cbrt.f64 (*.f64 707281/11664 (/.f64 (*.f64 x x) (+.f64 4/29 (*.f64 x -841/108))))) (*.f64 (cbrt.f64 (*.f64 707281/11664 (/.f64 (*.f64 x x) (+.f64 4/29 (*.f64 x -841/108))))) (cbrt.f64 (*.f64 707281/11664 (/.f64 (*.f64 x x) (+.f64 4/29 (*.f64 x -841/108)))))))))
(+.f64 (fma.f64 16/841 (/.f64 1 (fma.f64 x -841/108 4/29)) (*.f64 (/.f64 x (/.f64 (fma.f64 x -841/108 4/29) x)) -707281/11664)) (fma.f64 (/.f64 -707281/11664 (fma.f64 x -841/108 4/29)) (*.f64 x x) (*.f64 (*.f64 x 707281/11664) (/.f64 x (fma.f64 x -841/108 4/29)))))
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(+.f64 (fma.f64 16/841 (/.f64 1 (+.f64 4/29 (*.f64 x -841/108))) (neg.f64 (*.f64 (/.f64 (*.f64 x 707281/11664) (+.f64 4/29 (*.f64 x -841/108))) (/.f64 x 1)))) (fma.f64 (neg.f64 (/.f64 (*.f64 x 707281/11664) (+.f64 4/29 (*.f64 x -841/108)))) (/.f64 x 1) (*.f64 (/.f64 (*.f64 x 707281/11664) (+.f64 4/29 (*.f64 x -841/108))) (/.f64 x 1))))
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(*.f64 841/108 x)
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (*.f64 x 707281/11664)))) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 841/108 x))) (cbrt.f64 (*.f64 x (*.f64 x 707281/11664)))))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (*.f64 x 707281/11664)))) (*.f64 (cbrt.f64 (*.f64 x (*.f64 x 707281/11664))) (cbrt.f64 (cbrt.f64 (*.f64 841/108 x)))))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 841/108 x))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (*.f64 x 707281/11664)))) 4))
(*.f64 (cbrt.f64 (*.f64 x (*.f64 x 707281/11664))) (cbrt.f64 (*.f64 841/108 x)))
(*.f64 (cbrt.f64 (*.f64 841/108 x)) (cbrt.f64 (*.f64 x (*.f64 x 707281/11664))))
(*.f64 (cbrt.f64 841/108) (*.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x (*.f64 x 707281/11664)))))
(*.f64 (cbrt.f64 841/108) (*.f64 (cbrt.f64 (*.f64 x (*.f64 x 707281/11664))) (cbrt.f64 x)))
(*.f64 (cbrt.f64 (*.f64 x (*.f64 x 707281/11664))) (*.f64 (cbrt.f64 841/108) (cbrt.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 841/108))
(*.f64 841/108 x)
(*.f64 (pow.f64 (*.f64 841/108 x) 1/4) (*.f64 (pow.f64 (*.f64 841/108 x) 1/4) (sqrt.f64 (*.f64 841/108 x))))
(*.f64 841/108 x)
(*.f64 (pow.f64 (*.f64 841/108 x) 1/6) (*.f64 (pow.f64 (*.f64 841/108 x) 1/6) (cbrt.f64 (*.f64 x (*.f64 x 707281/11664)))))
(*.f64 (cbrt.f64 (*.f64 841/108 x)) (cbrt.f64 (*.f64 x (*.f64 x 707281/11664))))
(*.f64 (*.f64 841/108 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 841/108 x)
(*.f64 (sqrt.f64 841/108) (*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 841/108 x))))
(*.f64 (sqrt.f64 841/108) (*.f64 (sqrt.f64 (*.f64 841/108 x)) (sqrt.f64 x)))
(*.f64 (sqrt.f64 (*.f64 841/108 x)) (*.f64 (sqrt.f64 x) (sqrt.f64 841/108)))
(*.f64 (sqrt.f64 x) (*.f64 841/108 (sqrt.f64 x)))
(*.f64 841/108 x)
(*.f64 (*.f64 (sqrt.f64 (*.f64 841/108 x)) (pow.f64 (*.f64 841/108 x) 1/4)) (pow.f64 (*.f64 841/108 x) 1/4))
(*.f64 841/108 x)
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896))) (cbrt.f64 (*.f64 841/108 x)))
(*.f64 (cbrt.f64 (*.f64 841/108 x)) (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896))))
(*.f64 (pow.f64 1 1/2) (*.f64 841/108 x))
(*.f64 841/108 x)
(*.f64 (pow.f64 707281/11664 1/2) x)
(*.f64 841/108 x)
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896)) 1/2) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 707281/11664))) 1/2))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896))) (sqrt.f64 (cbrt.f64 (*.f64 x (*.f64 x 707281/11664)))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (*.f64 x 707281/11664)))) 3) (cbrt.f64 (*.f64 841/108 x)))
(*.f64 (cbrt.f64 (*.f64 841/108 x)) (cbrt.f64 (*.f64 x (*.f64 x 707281/11664))))
(*.f64 (pow.f64 (cbrt.f64 841/108) 3) x)
(*.f64 841/108 x)
(*.f64 (pow.f64 (sqrt.f64 841/108) 2) x)
(*.f64 841/108 x)
(*.f64 (*.f64 841/108 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 841/108 x)
(*.f64 (*.f64 (sqrt.f64 (*.f64 841/108 x)) (cbrt.f64 (*.f64 841/108 x))) (pow.f64 (*.f64 841/108 x) 1/6))
(*.f64 (sqrt.f64 (*.f64 841/108 x)) (pow.f64 (pow.f64 (*.f64 841/108 x) 1/6) 3))
(*.f64 (*.f64 (sqrt.f64 (*.f64 841/108 x)) (sqrt.f64 841/108)) (sqrt.f64 x))
(*.f64 (sqrt.f64 841/108) (*.f64 (sqrt.f64 (*.f64 841/108 x)) (sqrt.f64 x)))
(*.f64 (sqrt.f64 (*.f64 841/108 x)) (*.f64 (sqrt.f64 x) (sqrt.f64 841/108)))
(*.f64 (*.f64 (cbrt.f64 (*.f64 x (*.f64 x 707281/11664))) 1) (cbrt.f64 (*.f64 841/108 x)))
(*.f64 (cbrt.f64 (*.f64 841/108 x)) (cbrt.f64 (*.f64 x (*.f64 x 707281/11664))))
(*.f64 (*.f64 (cbrt.f64 (*.f64 x (*.f64 x 707281/11664))) (cbrt.f64 (cbrt.f64 (*.f64 x (*.f64 x 707281/11664))))) (cbrt.f64 (cbrt.f64 (*.f64 841/108 x))))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (*.f64 x 707281/11664)))) (*.f64 (cbrt.f64 (*.f64 x (*.f64 x 707281/11664))) (cbrt.f64 (cbrt.f64 (*.f64 841/108 x)))))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 841/108 x))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (*.f64 x 707281/11664)))) 4))
(*.f64 (*.f64 (cbrt.f64 (*.f64 x (*.f64 x 707281/11664))) (cbrt.f64 841/108)) (cbrt.f64 x))
(*.f64 (cbrt.f64 841/108) (*.f64 (cbrt.f64 (*.f64 x (*.f64 x 707281/11664))) (cbrt.f64 x)))
(*.f64 (cbrt.f64 (*.f64 x (*.f64 x 707281/11664))) (*.f64 (cbrt.f64 841/108) (cbrt.f64 x)))
(*.f64 (*.f64 (cbrt.f64 (*.f64 x (*.f64 x 707281/11664))) (pow.f64 (*.f64 841/108 x) 1/6)) (pow.f64 (*.f64 841/108 x) 1/6))
(*.f64 (cbrt.f64 (*.f64 841/108 x)) (cbrt.f64 (*.f64 x (*.f64 x 707281/11664))))
(sqrt.f64 (*.f64 x (*.f64 x 707281/11664)))
(*.f64 841/108 x)
(fabs.f64 (*.f64 841/108 x))
(*.f64 841/108 x)
(log.f64 (pow.f64 (exp.f64 841/108) x))
(*.f64 841/108 x)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 841/108 x))))
(*.f64 841/108 x)
(cbrt.f64 (*.f64 594823321/1259712 (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 841/108 x)))
(*.f64 841/108 x)
(exp.f64 (log.f64 (*.f64 841/108 x)))
(*.f64 841/108 x)
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x 707281/11664))) 1/2))
(*.f64 841/108 x)
(exp.f64 (*.f64 (log.f64 (*.f64 841/108 x)) 1))
(*.f64 841/108 x)
(log1p.f64 (expm1.f64 (*.f64 841/108 x)))
(*.f64 841/108 x)
(-.f64 (exp.f64 (log1p.f64 (*.f64 841/108 x))) 1)
(*.f64 841/108 x)
(pow.f64 (*.f64 841/108 x) 1)
(*.f64 841/108 x)
(pow.f64 (*.f64 x (*.f64 x 707281/11664)) 1/2)
(*.f64 841/108 x)
(pow.f64 (cbrt.f64 (*.f64 841/108 x)) 3)
(*.f64 841/108 x)
(pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2)
(*.f64 841/108 x)
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 707281/11664))) 3/2)
(pow.f64 (*.f64 594823321/1259712 (pow.f64 x 3)) 1/3)
(cbrt.f64 (*.f64 594823321/1259712 (pow.f64 x 3)))
(sqrt.f64 (*.f64 x (*.f64 x 707281/11664)))
(*.f64 841/108 x)
(fabs.f64 (*.f64 841/108 x))
(*.f64 841/108 x)
(log.f64 (pow.f64 (exp.f64 841/108) x))
(*.f64 841/108 x)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 841/108 x))))
(*.f64 841/108 x)
(cbrt.f64 (*.f64 594823321/1259712 (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 841/108 x)))
(*.f64 841/108 x)
(exp.f64 (log.f64 (*.f64 841/108 x)))
(*.f64 841/108 x)
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x 707281/11664))) 1/2))
(*.f64 841/108 x)
(exp.f64 (*.f64 (log.f64 (*.f64 841/108 x)) 1))
(*.f64 841/108 x)
(log1p.f64 (expm1.f64 (*.f64 841/108 x)))
(*.f64 841/108 x)
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 841/108 x)))) 1)
(sqrt.f64 (*.f64 841/108 x))
(*.f64 (cbrt.f64 (*.f64 841/108 x)) (pow.f64 (*.f64 841/108 x) 1/6))
(pow.f64 (pow.f64 (*.f64 841/108 x) 1/6) 3)
(*.f64 (sqrt.f64 (*.f64 841/108 x)) 1)
(sqrt.f64 (*.f64 841/108 x))
(*.f64 1 (sqrt.f64 (*.f64 841/108 x)))
(sqrt.f64 (*.f64 841/108 x))
(*.f64 (pow.f64 (*.f64 841/108 x) 1/4) (pow.f64 (*.f64 841/108 x) 1/4))
(sqrt.f64 (*.f64 841/108 x))
(*.f64 (pow.f64 (*.f64 841/108 x) 1/6) (cbrt.f64 (*.f64 841/108 x)))
(pow.f64 (pow.f64 (*.f64 841/108 x) 1/6) 3)
(*.f64 (pow.f64 (*.f64 841/108 x) 1/6) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 707281/11664))) 1/2))
(*.f64 (pow.f64 (*.f64 841/108 x) 1/6) (sqrt.f64 (cbrt.f64 (*.f64 x (*.f64 x 707281/11664)))))
(*.f64 (sqrt.f64 841/108) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 841/108))
(*.f64 (sqrt.f64 x) (sqrt.f64 841/108))
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (*.f64 841/108 (sqrt.f64 x))))
(*.f64 (pow.f64 1 3/2) (sqrt.f64 (*.f64 841/108 x)))
(sqrt.f64 (*.f64 841/108 x))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (*.f64 x 707281/11664)))) 3/2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 841/108 x))) 3/2))
(*.f64 (pow.f64 (cbrt.f64 841/108) 3/2) (pow.f64 (cbrt.f64 x) 3/2))
(*.f64 (pow.f64 (pow.f64 (*.f64 841/108 x) 1/6) 3/2) (pow.f64 (pow.f64 (*.f64 841/108 x) 1/6) 3/2))
(pow.f64 (pow.f64 (*.f64 841/108 x) 1/6) 3)
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 707281/11664))) 1/2) (pow.f64 (*.f64 841/108 x) 1/6))
(*.f64 (pow.f64 (*.f64 841/108 x) 1/6) (sqrt.f64 (cbrt.f64 (*.f64 x (*.f64 x 707281/11664)))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 841/108 x)))
(sqrt.f64 (*.f64 841/108 x))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 841/108 x)) 3/4) (pow.f64 (cbrt.f64 (*.f64 841/108 x)) 3/4))
(pow.f64 (cbrt.f64 (*.f64 841/108 x)) 3/2)
(pow.f64 (*.f64 841/108 x) 1/2)
(sqrt.f64 (*.f64 841/108 x))
(pow.f64 (*.f64 x (*.f64 x 707281/11664)) 1/4)
(pow.f64 (cbrt.f64 (*.f64 841/108 x)) 3/2)
(pow.f64 (sqrt.f64 (*.f64 841/108 x)) 1)
(sqrt.f64 (*.f64 841/108 x))
(pow.f64 (pow.f64 (*.f64 841/108 x) 3/2) 1/3)
(cbrt.f64 (pow.f64 (*.f64 841/108 x) 3/2))
(pow.f64 (pow.f64 (*.f64 841/108 x) 1/4) 2)
(sqrt.f64 (*.f64 841/108 x))
(pow.f64 (pow.f64 (*.f64 841/108 x) 1/6) 3)
(fabs.f64 (sqrt.f64 (*.f64 841/108 x)))
(sqrt.f64 (*.f64 841/108 x))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 841/108 x))))
(sqrt.f64 (*.f64 841/108 x))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 841/108 x)))))
(sqrt.f64 (*.f64 841/108 x))
(cbrt.f64 (pow.f64 (*.f64 841/108 x) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 841/108 x))))
(sqrt.f64 (*.f64 841/108 x))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 841/108 x))))
(sqrt.f64 (*.f64 841/108 x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 841/108 x))) 3/2))
(pow.f64 (cbrt.f64 (*.f64 841/108 x)) 3/2)
(exp.f64 (*.f64 (log.f64 (*.f64 841/108 x)) 1/2))
(sqrt.f64 (*.f64 841/108 x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 841/108 x))) 1))
(sqrt.f64 (*.f64 841/108 x))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 841/108 x))))
(sqrt.f64 (*.f64 841/108 x))

eval516.0ms (7.7%)

Compiler

Compiled 18932 to 15070 computations (20.4% saved)

prune116.0ms (1.7%)

Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New4977504
Fresh213
Picked415
Done011
Total50310513
Accurracy
100.0%
Counts
513 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(fma.f64 841/108 x 4/29)
99.8%
(pow.f64 (/.f64 1 (+.f64 (*.f64 841/108 x) 4/29)) -1)
74.0%
(pow.f64 (sqrt.f64 (+.f64 (*.f64 841/108 x) 4/29)) 2)
97.2%
(pow.f64 (cbrt.f64 (+.f64 (*.f64 841/108 x) 4/29)) 3)
74.5%
(/.f64 (-.f64 16/841 (*.f64 x (*.f64 x 707281/11664))) (-.f64 4/29 (*.f64 841/108 x)))
27.2%
(/.f64 (-.f64 16/841 (*.f64 707281/11664 (*.f64 x x))) (*.f64 x -841/108))
99.5%
(+.f64 (*.f64 (pow.f64 (sqrt.f64 841/108) 2) x) (/.f64 4 29))
99.9%
(+.f64 (*.f64 841/108 x) 4/29)
52.9%
(*.f64 841/108 x)
48.2%
4/29
99.9%
(fma.f64 841/108 x 4/29)
99.8%
(pow.f64 (/.f64 1 (+.f64 (*.f64 841/108 x) 4/29)) -1)
74.0%
(pow.f64 (sqrt.f64 (+.f64 (*.f64 841/108 x) 4/29)) 2)
97.2%
(pow.f64 (cbrt.f64 (+.f64 (*.f64 841/108 x) 4/29)) 3)
74.5%
(/.f64 (-.f64 16/841 (*.f64 x (*.f64 x 707281/11664))) (-.f64 4/29 (*.f64 841/108 x)))
27.2%
(/.f64 (-.f64 16/841 (*.f64 707281/11664 (*.f64 x x))) (*.f64 x -841/108))
99.5%
(+.f64 (*.f64 (pow.f64 (sqrt.f64 841/108) 2) x) (/.f64 4 29))
99.9%
(+.f64 (*.f64 841/108 x) 4/29)
52.9%
(*.f64 841/108 x)
48.2%
4/29
Compiler

Compiled 302 to 254 computations (15.9% saved)

localize137.0ms (2%)

Local Accuracy

Found 17 expressions with local accuracy:

NewAccuracyProgram
100.0%
(+.f64 (*.f64 841/108 x) 4/29)
99.8%
(*.f64 841/108 x)
98.8%
(cbrt.f64 (+.f64 (*.f64 841/108 x) 4/29))
98.6%
(pow.f64 (cbrt.f64 (+.f64 (*.f64 841/108 x) 4/29)) 3)
99.9%
(*.f64 x (*.f64 x 707281/11664))
99.8%
(*.f64 841/108 x)
99.8%
(*.f64 x 707281/11664)
74.5%
(/.f64 (-.f64 16/841 (*.f64 x (*.f64 x 707281/11664))) (-.f64 4/29 (*.f64 841/108 x)))
100.0%
(-.f64 16/841 (*.f64 707281/11664 (*.f64 x x)))
99.8%
(*.f64 707281/11664 (*.f64 x x))
99.8%
(*.f64 x -841/108)
74.1%
(/.f64 (-.f64 16/841 (*.f64 707281/11664 (*.f64 x x))) (*.f64 x -841/108))
99.8%
(*.f64 841/108 x)
100.0%
(+.f64 (*.f64 841/108 x) 4/29)
99.8%
(pow.f64 (/.f64 1 (+.f64 (*.f64 841/108 x) 4/29)) -1)
99.8%
(/.f64 1 (+.f64 (*.f64 841/108 x) 4/29))
99.8%
(*.f64 841/108 x)
Compiler

Compiled 136 to 99 computations (27.2% saved)

series9.0ms (0.1%)

Counts
11 → 116
Calls

33 calls:

TimeVariablePointExpression
2.0ms
x
@0
(pow.f64 (cbrt.f64 (+.f64 (*.f64 841/108 x) 4/29)) 3)
1.0ms
x
@inf
(pow.f64 (cbrt.f64 (+.f64 (*.f64 841/108 x) 4/29)) 3)
1.0ms
x
@0
(pow.f64 (/.f64 1 (+.f64 (*.f64 841/108 x) 4/29)) -1)
1.0ms
x
@inf
(pow.f64 (/.f64 1 (+.f64 (*.f64 841/108 x) 4/29)) -1)
1.0ms
x
@-inf
(pow.f64 (/.f64 1 (+.f64 (*.f64 841/108 x) 4/29)) -1)

rewrite159.0ms (2.4%)

Algorithm
batch-egg-rewrite
Rules
738×expm1-udef
546×add-sqr-sqrt
520×pow1
516×add-exp-log
516×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
028203
1650143
27987143
Stop Event
node limit
Counts
11 → 624
Calls
Call 1
Inputs
(/.f64 1 (+.f64 (*.f64 841/108 x) 4/29))
(pow.f64 (/.f64 1 (+.f64 (*.f64 841/108 x) 4/29)) -1)
(+.f64 (*.f64 841/108 x) 4/29)
(/.f64 (-.f64 16/841 (*.f64 707281/11664 (*.f64 x x))) (*.f64 x -841/108))
(*.f64 x -841/108)
(-.f64 16/841 (*.f64 707281/11664 (*.f64 x x)))
(/.f64 (-.f64 16/841 (*.f64 x (*.f64 x 707281/11664))) (-.f64 4/29 (*.f64 841/108 x)))
(*.f64 x (*.f64 x 707281/11664))
(pow.f64 (cbrt.f64 (+.f64 (*.f64 841/108 x) 4/29)) 3)
(cbrt.f64 (+.f64 (*.f64 841/108 x) 4/29))
(+.f64 (*.f64 841/108 x) 4/29)
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 -1 (fma.f64 841/108 x -4/29)))) 1)
(-.f64 (/.f64 4/29 (+.f64 16/841 (*.f64 (*.f64 -707281/11664 x) x))) (/.f64 (*.f64 841/108 x) (+.f64 -16/841 (*.f64 (*.f64 -707281/11664 x) x))))
(*.f64 1 (/.f64 -1 (fma.f64 841/108 x -4/29)))
(*.f64 (fma.f64 841/108 x 4/29) (/.f64 1 (+.f64 16/841 (*.f64 (*.f64 -707281/11664 x) x))))
(*.f64 (/.f64 -1 (fma.f64 841/108 x -4/29)) 1)
(*.f64 -1 (/.f64 1 (fma.f64 841/108 x -4/29)))
(*.f64 (/.f64 -1 (cbrt.f64 (fma.f64 841/108 x -4/29))) (cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) -2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) -2)) (/.f64 -1 (cbrt.f64 (fma.f64 841/108 x -4/29))))
(*.f64 (pow.f64 (fma.f64 841/108 x 4/29) -1/2) (pow.f64 (fma.f64 841/108 x 4/29) -1/2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) -1) (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) -1))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) -1) (pow.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) -1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 16/841 (*.f64 (*.f64 -707281/11664 x) x))) 2)) (/.f64 (fma.f64 841/108 x 4/29) (cbrt.f64 (+.f64 16/841 (*.f64 (*.f64 -707281/11664 x) x)))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 16/841 (*.f64 (*.f64 -707281/11664 x) x)))) (/.f64 (fma.f64 841/108 x 4/29) (sqrt.f64 (+.f64 16/841 (*.f64 (*.f64 -707281/11664 x) x)))))
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(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) -2)) -1) (pow.f64 (/.f64 -1 (cbrt.f64 (fma.f64 841/108 x -4/29))) -1))
(*.f64 (pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) -1/2) -1) (pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) -1/2) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 841/108 x 4/29))) 2) 3) (cbrt.f64 (fma.f64 841/108 x 4/29)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) 1/6) 3) (pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) 1/6) 3))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2)) (/.f64 (+.f64 16/841 (*.f64 (*.f64 -707281/11664 x) x)) (cbrt.f64 (fma.f64 841/108 x 4/29))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 16/841 (*.f64 (*.f64 -707281/11664 x) x))) 2) 1) (/.f64 (cbrt.f64 (+.f64 16/841 (*.f64 (*.f64 -707281/11664 x) x))) (fma.f64 841/108 x 4/29)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 16/841 (*.f64 (*.f64 -707281/11664 x) x))) 2) (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2)) (cbrt.f64 (fma.f64 841/108 x 4/29)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 16/841 (*.f64 (*.f64 -707281/11664 x) x))) 2) (sqrt.f64 (fma.f64 841/108 x 4/29))) (/.f64 (cbrt.f64 (+.f64 16/841 (*.f64 (*.f64 -707281/11664 x) x))) (sqrt.f64 (fma.f64 841/108 x 4/29))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 16/841 (*.f64 (*.f64 -707281/11664 x) x))) 1) (/.f64 (sqrt.f64 (+.f64 16/841 (*.f64 (*.f64 -707281/11664 x) x))) (fma.f64 841/108 x 4/29)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 16/841 (*.f64 (*.f64 -707281/11664 x) x))) (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2)) (/.f64 (sqrt.f64 (+.f64 16/841 (*.f64 (*.f64 -707281/11664 x) x))) (cbrt.f64 (fma.f64 841/108 x 4/29))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2) 1) (cbrt.f64 (fma.f64 841/108 x 4/29)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 841/108 x 4/29))) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 841/108 x 4/29))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2) (pow.f64 (fma.f64 841/108 x 4/29) 1/6)) (pow.f64 (fma.f64 841/108 x 4/29) 1/6))
(*.f64 (/.f64 (+.f64 16/841 (*.f64 (*.f64 -707281/11664 x) x)) (-.f64 64/24389 (pow.f64 (*.f64 841/108 x) 3))) (+.f64 16/841 (*.f64 (*.f64 841/108 x) (fma.f64 841/108 x 4/29))))
(*.f64 (/.f64 (+.f64 16/841 (*.f64 (*.f64 -707281/11664 x) x)) (+.f64 16/841 (*.f64 (*.f64 -707281/11664 x) x))) (fma.f64 841/108 x 4/29))
(*.f64 (/.f64 (+.f64 16/841 (*.f64 (*.f64 -707281/11664 x) x)) (+.f64 64/24389 (pow.f64 (*.f64 841/108 x) 3))) (+.f64 (*.f64 (*.f64 -707281/11664 x) x) (+.f64 16/841 (*.f64 x 29/27))))
(*.f64 (/.f64 (+.f64 16/841 (*.f64 (*.f64 -707281/11664 x) x)) (+.f64 (*.f64 (*.f64 -707281/11664 x) x) -16/841)) (fma.f64 841/108 x -4/29))
(/.f64 1 (/.f64 -1 (fma.f64 841/108 x -4/29)))
(/.f64 1 (/.f64 (+.f64 16/841 (*.f64 (*.f64 841/108 x) (fma.f64 841/108 x 4/29))) (-.f64 64/24389 (pow.f64 (*.f64 841/108 x) 3))))
(/.f64 1 (/.f64 (/.f64 -1 (fma.f64 841/108 x -4/29)) 1))
(/.f64 1 (/.f64 (+.f64 (*.f64 (*.f64 -707281/11664 x) x) (+.f64 16/841 (*.f64 x 29/27))) (+.f64 64/24389 (pow.f64 (*.f64 841/108 x) 3))))
(/.f64 1 (/.f64 (fma.f64 841/108 x -4/29) (+.f64 (*.f64 (*.f64 -707281/11664 x) x) -16/841)))
(/.f64 (fma.f64 841/108 x 4/29) 1)
(/.f64 -1 (neg.f64 (/.f64 -1 (fma.f64 841/108 x -4/29))))
(/.f64 (+.f64 16/841 (*.f64 (*.f64 -707281/11664 x) x)) (fma.f64 841/108 x 4/29))
(/.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2)))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2) (/.f64 -1 (cbrt.f64 (fma.f64 841/108 x -4/29))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 16/841 (*.f64 (*.f64 -707281/11664 x) x))) 2) (/.f64 (fma.f64 841/108 x 4/29) (cbrt.f64 (+.f64 16/841 (*.f64 (*.f64 -707281/11664 x) x)))))
(/.f64 (sqrt.f64 (+.f64 16/841 (*.f64 (*.f64 -707281/11664 x) x))) (/.f64 (fma.f64 841/108 x 4/29) (sqrt.f64 (+.f64 16/841 (*.f64 (*.f64 -707281/11664 x) x)))))
(/.f64 (+.f64 -16/841 (*.f64 (*.f64 -707281/11664 x) x)) (fma.f64 841/108 x -4/29))
(/.f64 (fma.f64 841/108 x -4/29) -1)
(/.f64 (+.f64 64/24389 (pow.f64 (*.f64 841/108 x) 3)) (+.f64 (*.f64 (*.f64 -707281/11664 x) x) (+.f64 16/841 (*.f64 x 29/27))))
(/.f64 (+.f64 64/24389 (pow.f64 (*.f64 841/108 x) 3)) (+.f64 16/841 (-.f64 (*.f64 (*.f64 -707281/11664 x) x) (*.f64 x 29/27))))
(/.f64 (-.f64 64/24389 (pow.f64 (*.f64 841/108 x) 3)) (+.f64 16/841 (*.f64 (*.f64 841/108 x) (fma.f64 841/108 x 4/29))))
(/.f64 (-.f64 4096/594823321 (pow.f64 (*.f64 (*.f64 -707281/11664 x) x) 3)) (*.f64 (fma.f64 841/108 x 4/29) (+.f64 (+.f64 256/707281 (*.f64 (pow.f64 x 4) 500246412961/136048896)) (*.f64 841/729 (*.f64 x x)))))
(/.f64 (+.f64 (*.f64 (*.f64 -707281/11664 x) x) -16/841) (fma.f64 841/108 x -4/29))
(/.f64 (+.f64 256/707281 (*.f64 (pow.f64 x 4) 500246412961/136048896)) (*.f64 (fma.f64 841/108 x 4/29) (+.f64 16/841 (*.f64 (*.f64 -707281/11664 x) x))))
(/.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) (pow.f64 (fma.f64 841/108 x 4/29) -1/2))
(/.f64 (-.f64 (*.f64 16/841 (fma.f64 841/108 x 4/29)) (*.f64 (fma.f64 841/108 x 4/29) (*.f64 (*.f64 -707281/11664 x) x))) (pow.f64 (fma.f64 841/108 x 4/29) 2))
(/.f64 (*.f64 (-.f64 4096/594823321 (pow.f64 (*.f64 (*.f64 -707281/11664 x) x) 3)) 1) (*.f64 (+.f64 (+.f64 256/707281 (*.f64 (pow.f64 x 4) 500246412961/136048896)) (*.f64 841/729 (*.f64 x x))) (fma.f64 841/108 x 4/29)))
(/.f64 (*.f64 (+.f64 256/707281 (*.f64 (pow.f64 x 4) 500246412961/136048896)) 1) (*.f64 (+.f64 16/841 (*.f64 (*.f64 -707281/11664 x) x)) (fma.f64 841/108 x 4/29)))
(/.f64 (neg.f64 (+.f64 -16/841 (*.f64 (*.f64 -707281/11664 x) x))) (neg.f64 (fma.f64 841/108 x -4/29)))
(/.f64 (neg.f64 (-.f64 64/24389 (pow.f64 (*.f64 841/108 x) 3))) (neg.f64 (+.f64 16/841 (*.f64 (*.f64 841/108 x) (fma.f64 841/108 x 4/29)))))
(/.f64 (neg.f64 (+.f64 64/24389 (pow.f64 (*.f64 841/108 x) 3))) (neg.f64 (+.f64 (*.f64 (*.f64 -707281/11664 x) x) (+.f64 16/841 (*.f64 x 29/27)))))
(/.f64 (neg.f64 (+.f64 (*.f64 (*.f64 -707281/11664 x) x) -16/841)) (neg.f64 (fma.f64 841/108 x -4/29)))
(/.f64 (/.f64 (+.f64 16/841 (*.f64 (*.f64 -707281/11664 x) x)) (cbrt.f64 (fma.f64 841/108 x 4/29))) (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2))
(/.f64 (/.f64 (+.f64 16/841 (*.f64 (*.f64 -707281/11664 x) x)) (sqrt.f64 (fma.f64 841/108 x 4/29))) (sqrt.f64 (fma.f64 841/108 x 4/29)))
(/.f64 (-.f64 (pow.f64 (/.f64 -16/841 (fma.f64 841/108 x -4/29)) 3) (pow.f64 (*.f64 707281/11664 (/.f64 (*.f64 x x) (fma.f64 841/108 x 4/29))) 3)) (+.f64 (*.f64 (/.f64 -16/841 (fma.f64 841/108 x -4/29)) (/.f64 -16/841 (fma.f64 841/108 x -4/29))) (+.f64 (*.f64 (*.f64 707281/11664 (/.f64 (*.f64 x x) (fma.f64 841/108 x 4/29))) (*.f64 707281/11664 (/.f64 (*.f64 x x) (fma.f64 841/108 x 4/29)))) (*.f64 (/.f64 -16/841 (fma.f64 841/108 x -4/29)) (*.f64 707281/11664 (/.f64 (*.f64 x x) (fma.f64 841/108 x 4/29)))))))
(/.f64 (-.f64 (*.f64 (/.f64 -16/841 (fma.f64 841/108 x -4/29)) (/.f64 -16/841 (fma.f64 841/108 x -4/29))) (*.f64 (*.f64 707281/11664 (/.f64 (*.f64 x x) (fma.f64 841/108 x 4/29))) (*.f64 707281/11664 (/.f64 (*.f64 x x) (fma.f64 841/108 x 4/29))))) (+.f64 (/.f64 -16/841 (fma.f64 841/108 x -4/29)) (*.f64 707281/11664 (/.f64 (*.f64 x x) (fma.f64 841/108 x 4/29)))))
(/.f64 (*.f64 (-.f64 4096/594823321 (pow.f64 (*.f64 (*.f64 -707281/11664 x) x) 3)) (/.f64 -1 (fma.f64 841/108 x -4/29))) (+.f64 (+.f64 256/707281 (*.f64 (pow.f64 x 4) 500246412961/136048896)) (*.f64 841/729 (*.f64 x x))))
(/.f64 (*.f64 (+.f64 256/707281 (*.f64 (pow.f64 x 4) 500246412961/136048896)) (/.f64 -1 (fma.f64 841/108 x -4/29))) (+.f64 16/841 (*.f64 (*.f64 -707281/11664 x) x)))
(/.f64 (/.f64 (+.f64 16/841 (*.f64 (*.f64 -707281/11664 x) x)) 1) (fma.f64 841/108 x 4/29))
(/.f64 (/.f64 (+.f64 16/841 (*.f64 (*.f64 -707281/11664 x) x)) (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2)) (cbrt.f64 (fma.f64 841/108 x 4/29)))
(/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) -2))) (/.f64 -1 (cbrt.f64 (fma.f64 841/108 x -4/29))))
(pow.f64 (fma.f64 841/108 x 4/29) 1)
(pow.f64 (/.f64 -1 (fma.f64 841/108 x -4/29)) -1)
(pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 3)
(pow.f64 (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2) 3/2)
(pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) -2) -1/2)
(pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) 2)
(neg.f64 (/.f64 (+.f64 16/841 (*.f64 (*.f64 -707281/11664 x) x)) (fma.f64 841/108 x -4/29)))
(sqrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 2))
(log.f64 (exp.f64 (fma.f64 841/108 x 4/29)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 841/108 x 4/29))))
(cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 16/841 (*.f64 (*.f64 -707281/11664 x) x)) 3) (pow.f64 (fma.f64 841/108 x 4/29) 3)))
(expm1.f64 (log1p.f64 (fma.f64 841/108 x 4/29)))
(exp.f64 (log.f64 (fma.f64 841/108 x 4/29)))
(exp.f64 (*.f64 (log.f64 (fma.f64 841/108 x 4/29)) 1))
(log1p.f64 (expm1.f64 (fma.f64 841/108 x 4/29)))
(fma.f64 1 (*.f64 841/108 x) 4/29)
(fma.f64 841/108 x 4/29)
(fma.f64 x 841/108 4/29)
(fma.f64 (cbrt.f64 (*.f64 (*.f64 -707281/11664 x) x)) (cbrt.f64 (*.f64 841/108 x)) 4/29)
(fma.f64 (sqrt.f64 (*.f64 841/108 x)) (sqrt.f64 (*.f64 841/108 x)) 4/29)

simplify201.0ms (3%)

Algorithm
egg-herbie
Rules
1302×associate-*r*
1094×associate-*l*
824×associate-/l*
670×associate-/r*
508×fma-def
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
068122856
1171919554
Stop Event
node limit
Counts
740 → 479
Calls
Call 1
Inputs
29/4
(+.f64 29/4 (*.f64 -707281/1728 x))
(+.f64 29/4 (+.f64 (*.f64 17249876309/746496 (pow.f64 x 2)) (*.f64 -707281/1728 x)))
(+.f64 29/4 (+.f64 (*.f64 -420707233300201/322486272 (pow.f64 x 3)) (+.f64 (*.f64 17249876309/746496 (pow.f64 x 2)) (*.f64 -707281/1728 x))))
(/.f64 108/841 x)
(-.f64 (*.f64 108/841 (/.f64 1 x)) (*.f64 46656/20511149 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 108/841 (/.f64 1 x)) (*.f64 20155392/500246412961 (/.f64 1 (pow.f64 x 3)))) (*.f64 46656/20511149 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 108/841 (/.f64 1 x)) (*.f64 20155392/500246412961 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 8707129344/12200509765705829 (/.f64 1 (pow.f64 x 4))) (*.f64 46656/20511149 (/.f64 1 (pow.f64 x 2)))))
(/.f64 108/841 x)
(-.f64 (*.f64 108/841 (/.f64 1 x)) (*.f64 46656/20511149 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 108/841 (/.f64 1 x)) (*.f64 20155392/500246412961 (/.f64 1 (pow.f64 x 3)))) (*.f64 46656/20511149 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 108/841 (/.f64 1 x)) (*.f64 20155392/500246412961 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 8707129344/12200509765705829 (/.f64 1 (pow.f64 x 4))) (*.f64 46656/20511149 (/.f64 1 (pow.f64 x 2)))))
4/29
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
4/29
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(/.f64 -1728/707281 x)
(-.f64 (*.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x)))
(-.f64 (*.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x)))
(-.f64 (*.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x)))
(*.f64 841/108 x)
(-.f64 (*.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x)))
(-.f64 (*.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x)))
(-.f64 (*.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x)))
(*.f64 841/108 x)
(-.f64 (*.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x)))
(-.f64 (*.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x)))
(-.f64 (*.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x)))
(*.f64 -841/108 x)
(*.f64 -841/108 x)
(*.f64 -841/108 x)
(*.f64 -841/108 x)
(*.f64 -841/108 x)
(*.f64 -841/108 x)
(*.f64 -841/108 x)
(*.f64 -841/108 x)
(*.f64 -841/108 x)
(*.f64 -841/108 x)
(*.f64 -841/108 x)
(*.f64 -841/108 x)
16/841
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841)
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841)
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841)
(*.f64 -707281/11664 (pow.f64 x 2))
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841)
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841)
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841)
(*.f64 -707281/11664 (pow.f64 x 2))
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841)
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841)
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841)
4/29
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
4/29
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(+.f64 4/29 (+.f64 (*.f64 (+.f64 (*.f64 841/162 (pow.f64 (*.f64 1 (pow.f64 (cbrt.f64 4/29) 4)) 1/3)) (*.f64 841/324 (pow.f64 (*.f64 1 (pow.f64 (cbrt.f64 4/29) 4)) 1/3))) x) (*.f64 (+.f64 (*.f64 -707281/104976 (pow.f64 (/.f64 1 (cbrt.f64 4/29)) 1/3)) (+.f64 (*.f64 (+.f64 (*.f64 -707281/52488 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 4/29) 4)) 1/3)) (*.f64 707281/104976 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 4/29) 4)) 1/3))) (cbrt.f64 4/29)) (*.f64 707281/52488 (pow.f64 (/.f64 1 (cbrt.f64 4/29)) 1/3)))) (pow.f64 x 2))))
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(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 841/108 x 4/29))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 841/108 x 4/29))) 2))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 841/108 x 4/29))) (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 841/108 x 4/29))) 2) (cbrt.f64 (cbrt.f64 (fma.f64 841/108 x 4/29))))
(*.f64 (cbrt.f64 (+.f64 16/841 (*.f64 (*.f64 -707281/11664 x) x))) (/.f64 -1 (cbrt.f64 (fma.f64 841/108 x -4/29))))
(*.f64 (pow.f64 (fma.f64 841/108 x 4/29) 1/6) (pow.f64 (fma.f64 841/108 x 4/29) 1/6))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (fma.f64 841/108 x 4/29)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 841/108 x 4/29))))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) 1/3) (pow.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) 1/3))
(/.f64 1 (/.f64 -1 (cbrt.f64 (fma.f64 841/108 x -4/29))))
(/.f64 (cbrt.f64 (+.f64 16/841 (*.f64 (*.f64 -707281/11664 x) x))) (cbrt.f64 (fma.f64 841/108 x 4/29)))
(/.f64 (cbrt.f64 (+.f64 64/24389 (pow.f64 (*.f64 841/108 x) 3))) (cbrt.f64 (+.f64 (*.f64 (*.f64 -707281/11664 x) x) (+.f64 16/841 (*.f64 x 29/27)))))
(/.f64 (cbrt.f64 (+.f64 (*.f64 (*.f64 -707281/11664 x) x) -16/841)) (cbrt.f64 (fma.f64 841/108 x -4/29)))
(/.f64 (cbrt.f64 (-.f64 64/24389 (pow.f64 (*.f64 841/108 x) 3))) (cbrt.f64 (+.f64 16/841 (*.f64 (*.f64 841/108 x) (fma.f64 841/108 x 4/29)))))
(/.f64 (cbrt.f64 (+.f64 -16/841 (*.f64 (*.f64 -707281/11664 x) x))) (cbrt.f64 (fma.f64 841/108 x -4/29)))
(pow.f64 (fma.f64 841/108 x 4/29) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 1)
(pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 841/108 x 4/29))) 3)
(pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) 1/6) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2))
(log.f64 (exp.f64 (cbrt.f64 (fma.f64 841/108 x 4/29))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (fma.f64 841/108 x 4/29))))
(exp.f64 (log.f64 (cbrt.f64 (fma.f64 841/108 x 4/29))))
(exp.f64 (*.f64 (log.f64 (fma.f64 841/108 x 4/29)) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 841/108 x 4/29))) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 (fma.f64 841/108 x 4/29))))
(-.f64 4/29 (*.f64 841/108 x))
(-.f64 (/.f64 -16/841 (fma.f64 841/108 x -4/29)) (*.f64 707281/11664 (/.f64 (*.f64 x x) (fma.f64 841/108 x 4/29))))
(-.f64 (*.f64 707281/11664 (/.f64 (*.f64 x x) (fma.f64 841/108 x 4/29))) (/.f64 16/841 (fma.f64 841/108 x -4/29)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 841/108 x 4/29))) 1)
(-.f64 (/.f64 64/24389 (+.f64 16/841 (*.f64 (*.f64 841/108 x) (fma.f64 841/108 x 4/29)))) (/.f64 (pow.f64 (*.f64 841/108 x) 3) (+.f64 16/841 (*.f64 (*.f64 841/108 x) (fma.f64 841/108 x 4/29)))))
(*.f64 1 (fma.f64 841/108 x 4/29))
(*.f64 (fma.f64 841/108 x 4/29) 1)
(*.f64 (/.f64 -1 (fma.f64 841/108 x -4/29)) (+.f64 16/841 (*.f64 (*.f64 -707281/11664 x) x)))
(*.f64 -1 (fma.f64 841/108 x -4/29))
(*.f64 (+.f64 16/841 (*.f64 (*.f64 -707281/11664 x) x)) (/.f64 -1 (fma.f64 841/108 x -4/29)))
(*.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 841/108 x 4/29))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 841/108 x 4/29))) (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2) (cbrt.f64 (fma.f64 841/108 x 4/29)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 16/841 (*.f64 (*.f64 -707281/11664 x) x))) 2) (*.f64 (cbrt.f64 (+.f64 16/841 (*.f64 (*.f64 -707281/11664 x) x))) (/.f64 -1 (fma.f64 841/108 x -4/29))))
(*.f64 (pow.f64 (fma.f64 841/108 x 4/29) -1/2) (/.f64 (+.f64 16/841 (*.f64 (*.f64 -707281/11664 x) x)) (sqrt.f64 (fma.f64 841/108 x 4/29))))
(*.f64 (pow.f64 (fma.f64 841/108 x 4/29) 1/6) (*.f64 (pow.f64 (fma.f64 841/108 x 4/29) 1/6) (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2)))
(*.f64 (sqrt.f64 (+.f64 16/841 (*.f64 (*.f64 -707281/11664 x) x))) (*.f64 (sqrt.f64 (+.f64 16/841 (*.f64 (*.f64 -707281/11664 x) x))) (/.f64 -1 (fma.f64 841/108 x -4/29))))
(*.f64 (+.f64 -16/841 (*.f64 (*.f64 -707281/11664 x) x)) (/.f64 1 (fma.f64 841/108 x -4/29)))
(*.f64 (+.f64 64/24389 (pow.f64 (*.f64 841/108 x) 3)) (/.f64 1 (+.f64 (*.f64 (*.f64 -707281/11664 x) x) (+.f64 16/841 (*.f64 x 29/27)))))
(*.f64 (-.f64 64/24389 (pow.f64 (*.f64 841/108 x) 3)) (/.f64 1 (+.f64 16/841 (*.f64 (*.f64 841/108 x) (fma.f64 841/108 x 4/29)))))
(*.f64 (+.f64 (*.f64 (*.f64 -707281/11664 x) x) -16/841) (/.f64 1 (fma.f64 841/108 x -4/29)))
(*.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) (sqrt.f64 (fma.f64 841/108 x 4/29)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) -2)) -1) (pow.f64 (/.f64 -1 (cbrt.f64 (fma.f64 841/108 x -4/29))) -1))
(*.f64 (pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) -1/2) -1) (pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) -1/2) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 841/108 x 4/29))) 2) 3) (cbrt.f64 (fma.f64 841/108 x 4/29)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) 1/6) 3) (pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) 1/6) 3))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2)) (/.f64 (+.f64 16/841 (*.f64 (*.f64 -707281/11664 x) x)) (cbrt.f64 (fma.f64 841/108 x 4/29))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 16/841 (*.f64 (*.f64 -707281/11664 x) x))) 2) 1) (/.f64 (cbrt.f64 (+.f64 16/841 (*.f64 (*.f64 -707281/11664 x) x))) (fma.f64 841/108 x 4/29)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 16/841 (*.f64 (*.f64 -707281/11664 x) x))) 2) (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2)) (cbrt.f64 (fma.f64 841/108 x 4/29)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 16/841 (*.f64 (*.f64 -707281/11664 x) x))) 2) (sqrt.f64 (fma.f64 841/108 x 4/29))) (/.f64 (cbrt.f64 (+.f64 16/841 (*.f64 (*.f64 -707281/11664 x) x))) (sqrt.f64 (fma.f64 841/108 x 4/29))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 16/841 (*.f64 (*.f64 -707281/11664 x) x))) 1) (/.f64 (sqrt.f64 (+.f64 16/841 (*.f64 (*.f64 -707281/11664 x) x))) (fma.f64 841/108 x 4/29)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 16/841 (*.f64 (*.f64 -707281/11664 x) x))) (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2)) (/.f64 (sqrt.f64 (+.f64 16/841 (*.f64 (*.f64 -707281/11664 x) x))) (cbrt.f64 (fma.f64 841/108 x 4/29))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2) 1) (cbrt.f64 (fma.f64 841/108 x 4/29)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 841/108 x 4/29))) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 841/108 x 4/29))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2) (pow.f64 (fma.f64 841/108 x 4/29) 1/6)) (pow.f64 (fma.f64 841/108 x 4/29) 1/6))
(*.f64 (/.f64 (+.f64 16/841 (*.f64 (*.f64 -707281/11664 x) x)) (-.f64 64/24389 (pow.f64 (*.f64 841/108 x) 3))) (+.f64 16/841 (*.f64 (*.f64 841/108 x) (fma.f64 841/108 x 4/29))))
(*.f64 (/.f64 (+.f64 16/841 (*.f64 (*.f64 -707281/11664 x) x)) (+.f64 16/841 (*.f64 (*.f64 -707281/11664 x) x))) (fma.f64 841/108 x 4/29))
(*.f64 (/.f64 (+.f64 16/841 (*.f64 (*.f64 -707281/11664 x) x)) (+.f64 64/24389 (pow.f64 (*.f64 841/108 x) 3))) (+.f64 (*.f64 (*.f64 -707281/11664 x) x) (+.f64 16/841 (*.f64 x 29/27))))
(*.f64 (/.f64 (+.f64 16/841 (*.f64 (*.f64 -707281/11664 x) x)) (+.f64 (*.f64 (*.f64 -707281/11664 x) x) -16/841)) (fma.f64 841/108 x -4/29))
(/.f64 1 (/.f64 -1 (fma.f64 841/108 x -4/29)))
(/.f64 1 (/.f64 (+.f64 16/841 (*.f64 (*.f64 841/108 x) (fma.f64 841/108 x 4/29))) (-.f64 64/24389 (pow.f64 (*.f64 841/108 x) 3))))
(/.f64 1 (/.f64 (/.f64 -1 (fma.f64 841/108 x -4/29)) 1))
(/.f64 1 (/.f64 (+.f64 (*.f64 (*.f64 -707281/11664 x) x) (+.f64 16/841 (*.f64 x 29/27))) (+.f64 64/24389 (pow.f64 (*.f64 841/108 x) 3))))
(/.f64 1 (/.f64 (fma.f64 841/108 x -4/29) (+.f64 (*.f64 (*.f64 -707281/11664 x) x) -16/841)))
(/.f64 (fma.f64 841/108 x 4/29) 1)
(/.f64 -1 (neg.f64 (/.f64 -1 (fma.f64 841/108 x -4/29))))
(/.f64 (+.f64 16/841 (*.f64 (*.f64 -707281/11664 x) x)) (fma.f64 841/108 x 4/29))
(/.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2)))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2) (/.f64 -1 (cbrt.f64 (fma.f64 841/108 x -4/29))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 16/841 (*.f64 (*.f64 -707281/11664 x) x))) 2) (/.f64 (fma.f64 841/108 x 4/29) (cbrt.f64 (+.f64 16/841 (*.f64 (*.f64 -707281/11664 x) x)))))
(/.f64 (sqrt.f64 (+.f64 16/841 (*.f64 (*.f64 -707281/11664 x) x))) (/.f64 (fma.f64 841/108 x 4/29) (sqrt.f64 (+.f64 16/841 (*.f64 (*.f64 -707281/11664 x) x)))))
(/.f64 (+.f64 -16/841 (*.f64 (*.f64 -707281/11664 x) x)) (fma.f64 841/108 x -4/29))
(/.f64 (fma.f64 841/108 x -4/29) -1)
(/.f64 (+.f64 64/24389 (pow.f64 (*.f64 841/108 x) 3)) (+.f64 (*.f64 (*.f64 -707281/11664 x) x) (+.f64 16/841 (*.f64 x 29/27))))
(/.f64 (+.f64 64/24389 (pow.f64 (*.f64 841/108 x) 3)) (+.f64 16/841 (-.f64 (*.f64 (*.f64 -707281/11664 x) x) (*.f64 x 29/27))))
(/.f64 (-.f64 64/24389 (pow.f64 (*.f64 841/108 x) 3)) (+.f64 16/841 (*.f64 (*.f64 841/108 x) (fma.f64 841/108 x 4/29))))
(/.f64 (-.f64 4096/594823321 (pow.f64 (*.f64 (*.f64 -707281/11664 x) x) 3)) (*.f64 (fma.f64 841/108 x 4/29) (+.f64 (+.f64 256/707281 (*.f64 (pow.f64 x 4) 500246412961/136048896)) (*.f64 841/729 (*.f64 x x)))))
(/.f64 (+.f64 (*.f64 (*.f64 -707281/11664 x) x) -16/841) (fma.f64 841/108 x -4/29))
(/.f64 (+.f64 256/707281 (*.f64 (pow.f64 x 4) 500246412961/136048896)) (*.f64 (fma.f64 841/108 x 4/29) (+.f64 16/841 (*.f64 (*.f64 -707281/11664 x) x))))
(/.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) (pow.f64 (fma.f64 841/108 x 4/29) -1/2))
(/.f64 (-.f64 (*.f64 16/841 (fma.f64 841/108 x 4/29)) (*.f64 (fma.f64 841/108 x 4/29) (*.f64 (*.f64 -707281/11664 x) x))) (pow.f64 (fma.f64 841/108 x 4/29) 2))
(/.f64 (*.f64 (-.f64 4096/594823321 (pow.f64 (*.f64 (*.f64 -707281/11664 x) x) 3)) 1) (*.f64 (+.f64 (+.f64 256/707281 (*.f64 (pow.f64 x 4) 500246412961/136048896)) (*.f64 841/729 (*.f64 x x))) (fma.f64 841/108 x 4/29)))
(/.f64 (*.f64 (+.f64 256/707281 (*.f64 (pow.f64 x 4) 500246412961/136048896)) 1) (*.f64 (+.f64 16/841 (*.f64 (*.f64 -707281/11664 x) x)) (fma.f64 841/108 x 4/29)))
(/.f64 (neg.f64 (+.f64 -16/841 (*.f64 (*.f64 -707281/11664 x) x))) (neg.f64 (fma.f64 841/108 x -4/29)))
(/.f64 (neg.f64 (-.f64 64/24389 (pow.f64 (*.f64 841/108 x) 3))) (neg.f64 (+.f64 16/841 (*.f64 (*.f64 841/108 x) (fma.f64 841/108 x 4/29)))))
(/.f64 (neg.f64 (+.f64 64/24389 (pow.f64 (*.f64 841/108 x) 3))) (neg.f64 (+.f64 (*.f64 (*.f64 -707281/11664 x) x) (+.f64 16/841 (*.f64 x 29/27)))))
(/.f64 (neg.f64 (+.f64 (*.f64 (*.f64 -707281/11664 x) x) -16/841)) (neg.f64 (fma.f64 841/108 x -4/29)))
(/.f64 (/.f64 (+.f64 16/841 (*.f64 (*.f64 -707281/11664 x) x)) (cbrt.f64 (fma.f64 841/108 x 4/29))) (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2))
(/.f64 (/.f64 (+.f64 16/841 (*.f64 (*.f64 -707281/11664 x) x)) (sqrt.f64 (fma.f64 841/108 x 4/29))) (sqrt.f64 (fma.f64 841/108 x 4/29)))
(/.f64 (-.f64 (pow.f64 (/.f64 -16/841 (fma.f64 841/108 x -4/29)) 3) (pow.f64 (*.f64 707281/11664 (/.f64 (*.f64 x x) (fma.f64 841/108 x 4/29))) 3)) (+.f64 (*.f64 (/.f64 -16/841 (fma.f64 841/108 x -4/29)) (/.f64 -16/841 (fma.f64 841/108 x -4/29))) (+.f64 (*.f64 (*.f64 707281/11664 (/.f64 (*.f64 x x) (fma.f64 841/108 x 4/29))) (*.f64 707281/11664 (/.f64 (*.f64 x x) (fma.f64 841/108 x 4/29)))) (*.f64 (/.f64 -16/841 (fma.f64 841/108 x -4/29)) (*.f64 707281/11664 (/.f64 (*.f64 x x) (fma.f64 841/108 x 4/29)))))))
(/.f64 (-.f64 (*.f64 (/.f64 -16/841 (fma.f64 841/108 x -4/29)) (/.f64 -16/841 (fma.f64 841/108 x -4/29))) (*.f64 (*.f64 707281/11664 (/.f64 (*.f64 x x) (fma.f64 841/108 x 4/29))) (*.f64 707281/11664 (/.f64 (*.f64 x x) (fma.f64 841/108 x 4/29))))) (+.f64 (/.f64 -16/841 (fma.f64 841/108 x -4/29)) (*.f64 707281/11664 (/.f64 (*.f64 x x) (fma.f64 841/108 x 4/29)))))
(/.f64 (*.f64 (-.f64 4096/594823321 (pow.f64 (*.f64 (*.f64 -707281/11664 x) x) 3)) (/.f64 -1 (fma.f64 841/108 x -4/29))) (+.f64 (+.f64 256/707281 (*.f64 (pow.f64 x 4) 500246412961/136048896)) (*.f64 841/729 (*.f64 x x))))
(/.f64 (*.f64 (+.f64 256/707281 (*.f64 (pow.f64 x 4) 500246412961/136048896)) (/.f64 -1 (fma.f64 841/108 x -4/29))) (+.f64 16/841 (*.f64 (*.f64 -707281/11664 x) x)))
(/.f64 (/.f64 (+.f64 16/841 (*.f64 (*.f64 -707281/11664 x) x)) 1) (fma.f64 841/108 x 4/29))
(/.f64 (/.f64 (+.f64 16/841 (*.f64 (*.f64 -707281/11664 x) x)) (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2)) (cbrt.f64 (fma.f64 841/108 x 4/29)))
(/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) -2))) (/.f64 -1 (cbrt.f64 (fma.f64 841/108 x -4/29))))
(pow.f64 (fma.f64 841/108 x 4/29) 1)
(pow.f64 (/.f64 -1 (fma.f64 841/108 x -4/29)) -1)
(pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 3)
(pow.f64 (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2) 3/2)
(pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) -2) -1/2)
(pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) 2)
(neg.f64 (/.f64 (+.f64 16/841 (*.f64 (*.f64 -707281/11664 x) x)) (fma.f64 841/108 x -4/29)))
(sqrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 2))
(log.f64 (exp.f64 (fma.f64 841/108 x 4/29)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 841/108 x 4/29))))
(cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 16/841 (*.f64 (*.f64 -707281/11664 x) x)) 3) (pow.f64 (fma.f64 841/108 x 4/29) 3)))
(expm1.f64 (log1p.f64 (fma.f64 841/108 x 4/29)))
(exp.f64 (log.f64 (fma.f64 841/108 x 4/29)))
(exp.f64 (*.f64 (log.f64 (fma.f64 841/108 x 4/29)) 1))
(log1p.f64 (expm1.f64 (fma.f64 841/108 x 4/29)))
(fma.f64 1 (*.f64 841/108 x) 4/29)
(fma.f64 841/108 x 4/29)
(fma.f64 x 841/108 4/29)
(fma.f64 (cbrt.f64 (*.f64 (*.f64 -707281/11664 x) x)) (cbrt.f64 (*.f64 841/108 x)) 4/29)
(fma.f64 (sqrt.f64 (*.f64 841/108 x)) (sqrt.f64 (*.f64 841/108 x)) 4/29)
Outputs
29/4
(+.f64 29/4 (*.f64 -707281/1728 x))
(fma.f64 -707281/1728 x 29/4)
(+.f64 29/4 (+.f64 (*.f64 17249876309/746496 (pow.f64 x 2)) (*.f64 -707281/1728 x)))
(+.f64 29/4 (fma.f64 17249876309/746496 (*.f64 x x) (*.f64 -707281/1728 x)))
(+.f64 29/4 (fma.f64 -707281/1728 x (*.f64 (*.f64 17249876309/746496 x) x)))
(+.f64 29/4 (+.f64 (*.f64 -420707233300201/322486272 (pow.f64 x 3)) (+.f64 (*.f64 17249876309/746496 (pow.f64 x 2)) (*.f64 -707281/1728 x))))
(+.f64 29/4 (fma.f64 -420707233300201/322486272 (pow.f64 x 3) (fma.f64 17249876309/746496 (*.f64 x x) (*.f64 -707281/1728 x))))
(+.f64 (fma.f64 -420707233300201/322486272 (pow.f64 x 3) (*.f64 (*.f64 17249876309/746496 x) x)) (fma.f64 -707281/1728 x 29/4))
(/.f64 108/841 x)
(-.f64 (*.f64 108/841 (/.f64 1 x)) (*.f64 46656/20511149 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 108/841 x) (/.f64 46656/20511149 (*.f64 x x)))
(+.f64 (/.f64 108/841 x) (/.f64 -46656/20511149 (*.f64 x x)))
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4/29
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4/29
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16/841
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4/29
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4/29
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(cbrt.f64 4/29)
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(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x 841/108 4/29)) 2)) (/.f64 (fma.f64 (*.f64 x -707281/11664) x 16/841) (cbrt.f64 (fma.f64 x 841/108 4/29))))
(/.f64 (fma.f64 x (*.f64 x -707281/11664) 16/841) (fma.f64 x 841/108 4/29))
(/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) -2))) (/.f64 -1 (cbrt.f64 (fma.f64 841/108 x -4/29))))
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 x 841/108 4/29) -2))) -1) (cbrt.f64 (fma.f64 841/108 x -4/29)))
(/.f64 (neg.f64 (cbrt.f64 (fma.f64 x 841/108 -4/29))) (cbrt.f64 (pow.f64 (fma.f64 x 841/108 4/29) -2)))
(pow.f64 (fma.f64 841/108 x 4/29) 1)
(fma.f64 x 841/108 4/29)
(pow.f64 (/.f64 -1 (fma.f64 841/108 x -4/29)) -1)
(neg.f64 (fma.f64 841/108 x -4/29))
(+.f64 (*.f64 x -841/108) 4/29)
(pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 3)
(fma.f64 x 841/108 4/29)
(pow.f64 (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2) 3/2)
(pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x 841/108 4/29)) 2) 3/2)
(pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) -2) -1/2)
(pow.f64 (pow.f64 (fma.f64 x 841/108 4/29) -2) -1/2)
(pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3) 1/3)
(fma.f64 x 841/108 4/29)
(pow.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) 2)
(fma.f64 x 841/108 4/29)
(neg.f64 (/.f64 (+.f64 16/841 (*.f64 (*.f64 -707281/11664 x) x)) (fma.f64 841/108 x -4/29)))
(*.f64 (/.f64 -1 (fma.f64 841/108 x -4/29)) (fma.f64 (*.f64 x -707281/11664) x 16/841))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x -707281/11664) 16/841)) (fma.f64 x 841/108 -4/29))
(sqrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 2))
(sqrt.f64 (pow.f64 (fma.f64 x 841/108 4/29) 2))
(fabs.f64 (fma.f64 x 841/108 4/29))
(log.f64 (exp.f64 (fma.f64 841/108 x 4/29)))
(fma.f64 x 841/108 4/29)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 841/108 x 4/29))))
(fma.f64 x 841/108 4/29)
(cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3))
(fma.f64 x 841/108 4/29)
(cbrt.f64 (/.f64 (pow.f64 (+.f64 16/841 (*.f64 (*.f64 -707281/11664 x) x)) 3) (pow.f64 (fma.f64 841/108 x 4/29) 3)))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 x -707281/11664) x 16/841) 3) (pow.f64 (fma.f64 x 841/108 4/29) 3)))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 x (*.f64 x -707281/11664) 16/841) 3) (pow.f64 (fma.f64 x 841/108 4/29) 3)))
(expm1.f64 (log1p.f64 (fma.f64 841/108 x 4/29)))
(fma.f64 x 841/108 4/29)
(exp.f64 (log.f64 (fma.f64 841/108 x 4/29)))
(fma.f64 x 841/108 4/29)
(exp.f64 (*.f64 (log.f64 (fma.f64 841/108 x 4/29)) 1))
(fma.f64 x 841/108 4/29)
(log1p.f64 (expm1.f64 (fma.f64 841/108 x 4/29)))
(fma.f64 x 841/108 4/29)
(fma.f64 1 (*.f64 841/108 x) 4/29)
(fma.f64 x 841/108 4/29)
(fma.f64 841/108 x 4/29)
(fma.f64 x 841/108 4/29)
(fma.f64 x 841/108 4/29)
(fma.f64 (cbrt.f64 (*.f64 (*.f64 -707281/11664 x) x)) (cbrt.f64 (*.f64 841/108 x)) 4/29)
(fma.f64 (cbrt.f64 (*.f64 x (*.f64 x -707281/11664))) (cbrt.f64 (*.f64 x 841/108)) 4/29)
(fma.f64 (sqrt.f64 (*.f64 841/108 x)) (sqrt.f64 (*.f64 841/108 x)) 4/29)
(fma.f64 x 841/108 4/29)

eval295.0ms (4.4%)

Compiler

Compiled 12079 to 9908 computations (18% saved)

prune89.0ms (1.3%)

Pruning

9 alts after pruning (5 fresh and 4 done)

PrunedKeptTotal
New7913794
Fresh123
Picked325
Done022
Total7959804
Accurracy
100.0%
Counts
804 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(fma.f64 841/108 x 4/29)
52.8%
(pow.f64 (/.f64 108/841 x) -1)
52.0%
(pow.f64 (cbrt.f64 (*.f64 841/108 x)) 3)
74.5%
(/.f64 (-.f64 16/841 (*.f64 x (*.f64 x 707281/11664))) (-.f64 4/29 (*.f64 841/108 x)))
27.5%
(/.f64 (*.f64 x (*.f64 x -707281/11664)) (*.f64 x -841/108))
99.5%
(+.f64 (*.f64 (pow.f64 (sqrt.f64 841/108) 2) x) (/.f64 4 29))
99.9%
(+.f64 (*.f64 841/108 x) 4/29)
52.9%
(*.f64 841/108 x)
48.2%
4/29
99.9%
(fma.f64 841/108 x 4/29)
52.8%
(pow.f64 (/.f64 108/841 x) -1)
52.0%
(pow.f64 (cbrt.f64 (*.f64 841/108 x)) 3)
74.5%
(/.f64 (-.f64 16/841 (*.f64 x (*.f64 x 707281/11664))) (-.f64 4/29 (*.f64 841/108 x)))
27.5%
(/.f64 (*.f64 x (*.f64 x -707281/11664)) (*.f64 x -841/108))
99.5%
(+.f64 (*.f64 (pow.f64 (sqrt.f64 841/108) 2) x) (/.f64 4 29))
99.9%
(+.f64 (*.f64 841/108 x) 4/29)
52.9%
(*.f64 841/108 x)
48.2%
4/29
Compiler

Compiled 130 to 106 computations (18.5% saved)

localize105.0ms (1.6%)

Local Accuracy

Found 12 expressions with local accuracy:

NewAccuracyProgram
99.6%
(/.f64 108/841 x)
99.6%
(pow.f64 (/.f64 108/841 x) -1)
99.8%
(*.f64 841/108 x)
99.1%
(cbrt.f64 (*.f64 841/108 x))
98.9%
(pow.f64 (cbrt.f64 (*.f64 841/108 x)) 3)
99.9%
(*.f64 x (*.f64 x -707281/11664))
99.8%
(*.f64 x -841/108)
99.8%
(*.f64 x -707281/11664)
53.0%
(/.f64 (*.f64 x (*.f64 x -707281/11664)) (*.f64 x -841/108))
100.0%
(+.f64 (*.f64 (pow.f64 (sqrt.f64 841/108) 2) x) (/.f64 4 29))
99.8%
(*.f64 (pow.f64 (sqrt.f64 841/108) 2) x)
98.4%
(pow.f64 (sqrt.f64 841/108) 2)
Compiler

Compiled 82 to 64 computations (22% saved)

series7.0ms (0.1%)

Counts
9 → 60
Calls

24 calls:

TimeVariablePointExpression
2.0ms
x
@0
(*.f64 (pow.f64 (sqrt.f64 841/108) 2) x)
1.0ms
x
@0
(pow.f64 (/.f64 108/841 x) -1)
0.0ms
x
@-inf
(pow.f64 (/.f64 108/841 x) -1)
0.0ms
x
@inf
(pow.f64 (/.f64 108/841 x) -1)
0.0ms
x
@inf
(*.f64 (pow.f64 (sqrt.f64 841/108) 2) x)

rewrite121.0ms (1.8%)

Algorithm
batch-egg-rewrite
Rules
1060×prod-diff
700×expm1-udef
496×add-sqr-sqrt
474×add-exp-log
474×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02865
159865
2661365
Stop Event
node limit
Counts
9 → 495
Calls
Call 1
Inputs
(pow.f64 (sqrt.f64 841/108) 2)
(*.f64 (pow.f64 (sqrt.f64 841/108) 2) x)
(+.f64 (*.f64 (pow.f64 (sqrt.f64 841/108) 2) x) (/.f64 4 29))
(/.f64 (*.f64 x (*.f64 x -707281/11664)) (*.f64 x -841/108))
(*.f64 x -707281/11664)
(*.f64 x (*.f64 x -707281/11664))
(pow.f64 (cbrt.f64 (*.f64 841/108 x)) 3)
(pow.f64 (/.f64 108/841 x) -1)
(/.f64 108/841 x)
Outputs
841/108
(-.f64 0 (*.f64 841/108 x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 841/108 x))) 1)
(/.f64 841/108 (/.f64 1 x))
(/.f64 x 108/841)
(/.f64 -707281/11664 (/.f64 -841/108 x))
(/.f64 (*.f64 x -707281/11664) -841/108)
(/.f64 (*.f64 x -707281/11664) (/.f64 (*.f64 841/108 x) x))
(/.f64 (*.f64 x (*.f64 x -707281/11664)) (*.f64 841/108 x))
(/.f64 -1 (neg.f64 (/.f64 108/841 x)))
(/.f64 1 (/.f64 108/841 x))
(/.f64 1 (/.f64 -841/108 (*.f64 x -707281/11664)))
(/.f64 1 (/.f64 (/.f64 108/841 x) 1))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -707281/11664))) 2) (/.f64 (*.f64 841/108 x) (cbrt.f64 (*.f64 x (*.f64 x -707281/11664)))))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 108/841 (cbrt.f64 x)))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 x -707281/11664)) 2) (/.f64 -841/108 (cbrt.f64 (*.f64 x -707281/11664))))
(/.f64 (*.f64 707281/11664 (*.f64 x x)) (*.f64 841/108 x))
(/.f64 (*.f64 x x) (/.f64 (*.f64 841/108 x) -707281/11664))
(/.f64 (sqrt.f64 (*.f64 841/108 x)) (sqrt.f64 (/.f64 108/841 x)))
(/.f64 (*.f64 x (sqrt.f64 -707281/11664)) (/.f64 (*.f64 841/108 x) (*.f64 x (sqrt.f64 -707281/11664))))
(/.f64 (sqrt.f64 x) (/.f64 108/841 (sqrt.f64 x)))
(/.f64 (sqrt.f64 (*.f64 x -707281/11664)) (/.f64 -841/108 (sqrt.f64 (*.f64 x -707281/11664))))
(/.f64 (neg.f64 x) -108/841)
(/.f64 (/.f64 (*.f64 x -707281/11664) 1) -841/108)
(/.f64 (neg.f64 (*.f64 707281/11664 (*.f64 x x))) (*.f64 841/108 x))
(/.f64 (neg.f64 (/.f64 (*.f64 x -707281/11664) 1)) 841/108)
(/.f64 (neg.f64 (*.f64 x -707281/11664)) 841/108)
(/.f64 (/.f64 (*.f64 x (*.f64 x -707281/11664)) -841/108) x)
(/.f64 (/.f64 (*.f64 x (*.f64 x -707281/11664)) (sqrt.f64 (*.f64 841/108 x))) (sqrt.f64 (*.f64 841/108 x)))
(/.f64 (*.f64 x (*.f64 841/108 x)) x)
(/.f64 (/.f64 (*.f64 x (*.f64 x -707281/11664)) 1) (*.f64 841/108 x))
(/.f64 (/.f64 (*.f64 x (*.f64 x -707281/11664)) (pow.f64 (cbrt.f64 (*.f64 841/108 x)) 2)) (cbrt.f64 (*.f64 841/108 x)))
(/.f64 (/.f64 1 (cbrt.f64 (/.f64 11664/707281 (*.f64 x x)))) (cbrt.f64 (/.f64 108/841 x)))
(pow.f64 (*.f64 841/108 x) 1)
(pow.f64 (cbrt.f64 (*.f64 841/108 x)) 3)
(pow.f64 (/.f64 108/841 x) -1)
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 841/108 x)) 2) 3/2)
(pow.f64 (*.f64 (pow.f64 x 3) 594823321/1259712) 1/3)
(pow.f64 (/.f64 11664/707281 (*.f64 x x)) -1/2)
(pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2)
(neg.f64 (*.f64 841/108 x))
(sqrt.f64 (*.f64 707281/11664 (*.f64 x x)))
(log.f64 (pow.f64 (exp.f64 -841/108) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 841/108 x))))
(log.f64 (/.f64 1 (pow.f64 (exp.f64 -841/108) x)))
(cbrt.f64 (*.f64 (pow.f64 x 3) 594823321/1259712))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x (*.f64 x -707281/11664)) 3) (*.f64 (pow.f64 x 3) 594823321/1259712)))
(expm1.f64 (log1p.f64 (*.f64 841/108 x)))
(exp.f64 (log.f64 (*.f64 841/108 x)))
(exp.f64 (*.f64 (log.f64 (*.f64 841/108 x)) 1))
(log1p.f64 (expm1.f64 (*.f64 841/108 x)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 841/108 x 4/29))) 1)
(-.f64 (/.f64 (*.f64 707281/11664 (*.f64 x x)) (fma.f64 841/108 x -4/29)) (/.f64 16/841 (fma.f64 841/108 x -4/29)))
(*.f64 (fma.f64 841/108 x 4/29) 1)
(*.f64 1 (fma.f64 841/108 x 4/29))
(*.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2) (cbrt.f64 (fma.f64 841/108 x 4/29)))
(*.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) (sqrt.f64 (fma.f64 841/108 x 4/29)))
(*.f64 (+.f64 (*.f64 (pow.f64 x 3) 594823321/1259712) 64/24389) (/.f64 1 (+.f64 (*.f64 707281/11664 (*.f64 x x)) (+.f64 16/841 (*.f64 x 29/27)))))
(*.f64 (+.f64 (*.f64 707281/11664 (*.f64 x x)) -16/841) (/.f64 1 (fma.f64 841/108 x -4/29)))
(/.f64 1 (/.f64 (+.f64 (*.f64 707281/11664 (*.f64 x x)) (+.f64 16/841 (*.f64 x 29/27))) (+.f64 (*.f64 (pow.f64 x 3) 594823321/1259712) 64/24389)))
(/.f64 1 (/.f64 (fma.f64 841/108 x -4/29) (+.f64 (*.f64 707281/11664 (*.f64 x x)) -16/841)))
(/.f64 (+.f64 (*.f64 (pow.f64 x 3) 594823321/1259712) 64/24389) (+.f64 (*.f64 707281/11664 (*.f64 x x)) (+.f64 16/841 (*.f64 x 29/27))))
(/.f64 (+.f64 (*.f64 (pow.f64 x 3) 594823321/1259712) 64/24389) (+.f64 16/841 (-.f64 (*.f64 707281/11664 (*.f64 x x)) (*.f64 x 29/27))))
(/.f64 (+.f64 (*.f64 707281/11664 (*.f64 x x)) -16/841) (fma.f64 841/108 x -4/29))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 x 3) 594823321/1259712) 64/24389)) (neg.f64 (+.f64 (*.f64 707281/11664 (*.f64 x x)) (+.f64 16/841 (*.f64 x 29/27)))))
(/.f64 (neg.f64 (+.f64 (*.f64 707281/11664 (*.f64 x x)) -16/841)) (neg.f64 (fma.f64 841/108 x -4/29)))
(/.f64 (-.f64 16/841 (*.f64 707281/11664 (*.f64 x x))) (-.f64 4/29 (*.f64 841/108 x)))
(pow.f64 (fma.f64 841/108 x 4/29) 1)
(pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 3)
(pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) 2)
(sqrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 2))
(log.f64 (exp.f64 (fma.f64 841/108 x 4/29)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 841/108 x 4/29))))
(cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3))
(expm1.f64 (log1p.f64 (fma.f64 841/108 x 4/29)))
(exp.f64 (log.f64 (fma.f64 841/108 x 4/29)))
(exp.f64 (*.f64 (log.f64 (fma.f64 841/108 x 4/29)) 1))
(log1p.f64 (expm1.f64 (fma.f64 841/108 x 4/29)))
(fma.f64 841/108 x 4/29)
(fma.f64 x 841/108 4/29)
(fma.f64 (cbrt.f64 (*.f64 841/108 x)) (pow.f64 (cbrt.f64 (*.f64 841/108 x)) 2) 4/29)
(fma.f64 1 (*.f64 841/108 x) 4/29)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 841/108 x)) 2) (cbrt.f64 (*.f64 841/108 x)) 4/29)
(fma.f64 (sqrt.f64 (*.f64 841/108 x)) (sqrt.f64 (*.f64 841/108 x)) 4/29)
(-.f64 0 (*.f64 841/108 x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 841/108 x))) 1)
(*.f64 841/108 x)
(*.f64 841/108 (pow.f64 (/.f64 1 x) -1))
(*.f64 x 841/108)
(*.f64 x -841/108)
(*.f64 x (*.f64 (*.f64 x -707281/11664) (/.f64 108/841 x)))
(*.f64 (*.f64 x -707281/11664) -108/841)
(*.f64 (*.f64 x -707281/11664) (*.f64 x (/.f64 108/841 x)))
(*.f64 (*.f64 x (*.f64 x -707281/11664)) (/.f64 108/841 x))
(*.f64 -841/108 x)
(*.f64 -841/108 (neg.f64 x))
(*.f64 (*.f64 841/108 x) 1)
(*.f64 (cbrt.f64 (*.f64 841/108 x)) (pow.f64 (cbrt.f64 (*.f64 841/108 x)) 2))
(*.f64 108/841 (*.f64 x -707281/11664))
(*.f64 (/.f64 108/841 x) (*.f64 x (*.f64 x -707281/11664)))
(*.f64 -1 (*.f64 841/108 x))
(*.f64 1 (*.f64 841/108 x))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 841/108 x)) 2) (cbrt.f64 (*.f64 841/108 x)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 841/108 x)) 2) (neg.f64 (cbrt.f64 (*.f64 841/108 x))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -707281/11664))) 2) (*.f64 (cbrt.f64 (*.f64 x (*.f64 x -707281/11664))) (/.f64 108/841 x)))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 841/108))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) -841/108))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 841/108 x))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 841/108 x))) (pow.f64 (cbrt.f64 (*.f64 841/108 x)) 2)))
(*.f64 (cbrt.f64 841/108) (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 (*.f64 841/108 x)) 2)))
(*.f64 (*.f64 707281/11664 (*.f64 x x)) (/.f64 108/841 x))
(*.f64 (*.f64 x x) (*.f64 -707281/11664 (/.f64 108/841 x)))
(*.f64 (sqrt.f64 (*.f64 841/108 x)) (sqrt.f64 (*.f64 841/108 x)))
(*.f64 (sqrt.f64 (*.f64 841/108 x)) (neg.f64 (sqrt.f64 (*.f64 841/108 x))))
(*.f64 (sqrt.f64 (/.f64 108/841 x)) (/.f64 (*.f64 x (*.f64 x -707281/11664)) (sqrt.f64 (*.f64 841/108 x))))
(*.f64 (*.f64 x (sqrt.f64 -707281/11664)) (*.f64 (*.f64 x (sqrt.f64 -707281/11664)) (/.f64 108/841 x)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 841/108))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) -841/108))
(*.f64 (pow.f64 (*.f64 841/108 x) 1/6) (*.f64 (pow.f64 (*.f64 841/108 x) 1/6) (pow.f64 (cbrt.f64 (*.f64 841/108 x)) 2)))
(*.f64 -108/841 (/.f64 (*.f64 x -707281/11664) 1))
(*.f64 (neg.f64 x) -841/108)
(*.f64 (/.f64 1 x) (/.f64 (*.f64 x (*.f64 x -707281/11664)) -841/108))
(*.f64 (/.f64 (*.f64 x -707281/11664) 1) 108/841)
(*.f64 (/.f64 (*.f64 x -707281/11664) 1) -108/841)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 841/108 x))) 2) 3) (cbrt.f64 (*.f64 841/108 x)))
(*.f64 (pow.f64 (cbrt.f64 841/108) 3) x)
(*.f64 (pow.f64 (pow.f64 (*.f64 841/108 x) 1/6) 3) (pow.f64 (pow.f64 (*.f64 841/108 x) 1/6) 3))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 11664/707281 (*.f64 x x))) -1) (pow.f64 (cbrt.f64 (/.f64 108/841 x)) -1))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 108/841 x)) -1) (pow.f64 (sqrt.f64 (/.f64 108/841 x)) -1))
(*.f64 (/.f64 x -841/108) (/.f64 (*.f64 x -707281/11664) x))
(*.f64 (/.f64 (*.f64 x -707281/11664) x) (/.f64 x -841/108))
(*.f64 (/.f64 x 1) (/.f64 (*.f64 x -707281/11664) (*.f64 841/108 x)))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (*.f64 841/108 x)) 2)) (/.f64 (*.f64 x -707281/11664) (cbrt.f64 (*.f64 841/108 x))))
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(log1p.f64 (expm1.f64 (/.f64 108/841 x)))

simplify133.0ms (2%)

Algorithm
egg-herbie
Rules
1528×fma-def
918×associate-*r*
896×log-prod
894×associate-/l*
728×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05079225
112716087
259916059
Stop Event
node limit
Counts
555 → 291
Calls
Call 1
Inputs
4/29
(+.f64 4/29 (*.f64 (pow.f64 (sqrt.f64 841/108) 2) x))
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841/108
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(neg.f64 (*.f64 841/108 x))
(sqrt.f64 (*.f64 707281/11664 (*.f64 x x)))
(log.f64 (pow.f64 (exp.f64 -841/108) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 841/108 x))))
(log.f64 (/.f64 1 (pow.f64 (exp.f64 -841/108) x)))
(cbrt.f64 (*.f64 (pow.f64 x 3) 594823321/1259712))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x (*.f64 x -707281/11664)) 3) (*.f64 (pow.f64 x 3) 594823321/1259712)))
(expm1.f64 (log1p.f64 (*.f64 841/108 x)))
(exp.f64 (log.f64 (*.f64 841/108 x)))
(exp.f64 (*.f64 (log.f64 (*.f64 841/108 x)) 1))
(log1p.f64 (expm1.f64 (*.f64 841/108 x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 108/841 x))) 1)
(*.f64 -841/108 (/.f64 x (*.f64 x (*.f64 x -707281/11664))))
(*.f64 (*.f64 841/108 x) (/.f64 1 (*.f64 x (*.f64 x -707281/11664))))
(*.f64 108/841 (/.f64 1 x))
(*.f64 (/.f64 108/841 x) 1)
(*.f64 1 (/.f64 108/841 x))
(*.f64 1 (/.f64 -841/108 (*.f64 x -707281/11664)))
(*.f64 (cbrt.f64 (/.f64 108/841 x)) (cbrt.f64 (/.f64 11664/707281 (*.f64 x x))))
(*.f64 (cbrt.f64 (/.f64 11664/707281 (*.f64 x x))) (cbrt.f64 (/.f64 108/841 x)))
(*.f64 (sqrt.f64 (/.f64 108/841 x)) (sqrt.f64 (/.f64 108/841 x)))
(*.f64 -108/841 (/.f64 1 (neg.f64 x)))
(*.f64 (/.f64 1 x) 108/841)
(*.f64 (/.f64 x 1) (/.f64 -841/108 (*.f64 x (*.f64 x -707281/11664))))
(*.f64 (/.f64 -841/108 x) (/.f64 x (*.f64 x -707281/11664)))
(*.f64 (/.f64 -841/108 (*.f64 x -707281/11664)) 1)
(*.f64 (/.f64 x (*.f64 x -707281/11664)) (/.f64 -841/108 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 841/108 x)) 2) x) (/.f64 (cbrt.f64 (*.f64 841/108 x)) (*.f64 x -707281/11664)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 841/108 x)) 2) 1) (/.f64 (cbrt.f64 (*.f64 841/108 x)) (*.f64 x (*.f64 x -707281/11664))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 841/108 x)) x) (/.f64 (sqrt.f64 (*.f64 841/108 x)) (*.f64 x -707281/11664)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 841/108 x)) 1) (/.f64 (sqrt.f64 (*.f64 841/108 x)) (*.f64 x (*.f64 x -707281/11664))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 841/108 x)) (*.f64 x -707281/11664)) (/.f64 (sqrt.f64 (*.f64 841/108 x)) x))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -707281/11664))) 2)) (/.f64 -841/108 (cbrt.f64 (*.f64 x (*.f64 x -707281/11664)))))
(*.f64 (/.f64 x (*.f64 x x)) 108/841)
(*.f64 (/.f64 x (*.f64 x (sqrt.f64 -707281/11664))) (/.f64 -841/108 (*.f64 x (sqrt.f64 -707281/11664))))
(*.f64 (/.f64 -841/108 (*.f64 x (sqrt.f64 -707281/11664))) (/.f64 x (*.f64 x (sqrt.f64 -707281/11664))))
(*.f64 (/.f64 -841/108 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -707281/11664))) 2)) (/.f64 x (cbrt.f64 (*.f64 x (*.f64 x -707281/11664)))))
(*.f64 (/.f64 -841/108 (*.f64 x x)) (/.f64 x -707281/11664))
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(*.f64 (/.f64 1 (*.f64 x x)) (/.f64 (*.f64 841/108 x) -707281/11664))
(*.f64 (/.f64 1 (*.f64 x (sqrt.f64 -707281/11664))) (/.f64 (*.f64 841/108 x) (*.f64 x (sqrt.f64 -707281/11664))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 841/108 x)) 2) (*.f64 x -707281/11664)) (/.f64 (cbrt.f64 (*.f64 841/108 x)) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 841/108 x)) 2) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -707281/11664))) 2)) (/.f64 (cbrt.f64 (*.f64 841/108 x)) (cbrt.f64 (*.f64 x (*.f64 x -707281/11664)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 841/108 x)) 2) (*.f64 x x)) (/.f64 (cbrt.f64 (*.f64 841/108 x)) -707281/11664))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 841/108 x)) 2) (*.f64 x (sqrt.f64 -707281/11664))) (/.f64 (cbrt.f64 (*.f64 841/108 x)) (*.f64 x (sqrt.f64 -707281/11664))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 841/108 x)) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -707281/11664))) 2)) (/.f64 (sqrt.f64 (*.f64 841/108 x)) (cbrt.f64 (*.f64 x (*.f64 x -707281/11664)))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 841/108 x)) (*.f64 x x)) (/.f64 (sqrt.f64 (*.f64 841/108 x)) -707281/11664))
(*.f64 (/.f64 (sqrt.f64 (*.f64 841/108 x)) (*.f64 x (sqrt.f64 -707281/11664))) (/.f64 (sqrt.f64 (*.f64 841/108 x)) (*.f64 x (sqrt.f64 -707281/11664))))
(pow.f64 (*.f64 841/108 x) -1)
(pow.f64 (/.f64 108/841 x) 1)
(pow.f64 (cbrt.f64 (/.f64 108/841 x)) 3)
(pow.f64 (pow.f64 (/.f64 108/841 x) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 108/841 x)) 2)
(sqrt.f64 (/.f64 11664/707281 (*.f64 x x)))
(log.f64 (exp.f64 (/.f64 108/841 x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 108/841 x))))
(cbrt.f64 (pow.f64 (/.f64 108/841 x) 3))
(cbrt.f64 (/.f64 (*.f64 (pow.f64 x 3) 594823321/1259712) (pow.f64 (*.f64 x (*.f64 x -707281/11664)) 3)))
(expm1.f64 (log1p.f64 (/.f64 108/841 x)))
(exp.f64 (log.f64 (/.f64 108/841 x)))
(exp.f64 (*.f64 (log.f64 (/.f64 108/841 x)) 1))
(exp.f64 (-.f64 (log.f64 (*.f64 841/108 x)) (log.f64 (*.f64 x (*.f64 x -707281/11664)))))
(log1p.f64 (expm1.f64 (/.f64 108/841 x)))
Outputs
4/29
(+.f64 4/29 (*.f64 (pow.f64 (sqrt.f64 841/108) 2) x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 (pow.f64 (sqrt.f64 841/108) 2) x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 (pow.f64 (sqrt.f64 841/108) 2) x))
(fma.f64 841/108 x 4/29)
(*.f64 (pow.f64 (sqrt.f64 841/108) 2) x)
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 (pow.f64 (sqrt.f64 841/108) 2) x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 (pow.f64 (sqrt.f64 841/108) 2) x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 (pow.f64 (sqrt.f64 841/108) 2) x))
(fma.f64 841/108 x 4/29)
(*.f64 (pow.f64 (sqrt.f64 841/108) 2) x)
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 (pow.f64 (sqrt.f64 841/108) 2) x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 (pow.f64 (sqrt.f64 841/108) 2) x))
(fma.f64 841/108 x 4/29)
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(*.f64 x (*.f64 x -707281/11664))
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(*.f64 -707281/11664 (pow.f64 x 2))
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(*.f64 (pow.f64 (sqrt.f64 841/108) 2) x)
841/108
(-.f64 0 (*.f64 841/108 x))
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(*.f64 x -841/108)
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(pow.f64 (/.f64 108/841 x) -1)
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(pow.f64 (pow.f64 (cbrt.f64 (*.f64 841/108 x)) 2) 3/2)
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(-.f64 (exp.f64 (log1p.f64 (fma.f64 841/108 x 4/29))) 1)
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(/.f64 (*.f64 841/108 x) (*.f64 x (*.f64 x -707281/11664)))
(/.f64 -108/841 x)
(*.f64 (/.f64 (sqrt.f64 (*.f64 841/108 x)) (*.f64 x (sqrt.f64 -707281/11664))) (/.f64 (sqrt.f64 (*.f64 841/108 x)) (*.f64 x (sqrt.f64 -707281/11664))))
(*.f64 (*.f64 (/.f64 841/108 x) (/.f64 x (sqrt.f64 -707281/11664))) (/.f64 1 (*.f64 x (sqrt.f64 -707281/11664))))
(/.f64 (/.f64 841/108 (sqrt.f64 -707281/11664)) (*.f64 x (sqrt.f64 -707281/11664)))
(pow.f64 (*.f64 841/108 x) -1)
(/.f64 108/841 x)
(pow.f64 (/.f64 108/841 x) 1)
(/.f64 108/841 x)
(pow.f64 (cbrt.f64 (/.f64 108/841 x)) 3)
(/.f64 108/841 x)
(pow.f64 (pow.f64 (/.f64 108/841 x) 3) 1/3)
(/.f64 108/841 x)
(pow.f64 (sqrt.f64 (/.f64 108/841 x)) 2)
(/.f64 108/841 x)
(sqrt.f64 (/.f64 11664/707281 (*.f64 x x)))
(log.f64 (exp.f64 (/.f64 108/841 x)))
(/.f64 108/841 x)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 108/841 x))))
(/.f64 108/841 x)
(cbrt.f64 (pow.f64 (/.f64 108/841 x) 3))
(/.f64 108/841 x)
(cbrt.f64 (/.f64 (*.f64 (pow.f64 x 3) 594823321/1259712) (pow.f64 (*.f64 x (*.f64 x -707281/11664)) 3)))
(cbrt.f64 (/.f64 (*.f64 (pow.f64 x 3) 594823321/1259712) (pow.f64 (*.f64 -707281/11664 (*.f64 x x)) 3)))
(expm1.f64 (log1p.f64 (/.f64 108/841 x)))
(/.f64 108/841 x)
(exp.f64 (log.f64 (/.f64 108/841 x)))
(/.f64 108/841 x)
(exp.f64 (*.f64 (log.f64 (/.f64 108/841 x)) 1))
(/.f64 108/841 x)
(exp.f64 (-.f64 (log.f64 (*.f64 841/108 x)) (log.f64 (*.f64 x (*.f64 x -707281/11664)))))
(/.f64 (*.f64 841/108 x) (*.f64 x (*.f64 x -707281/11664)))
(/.f64 -108/841 x)
(log1p.f64 (expm1.f64 (/.f64 108/841 x)))
(/.f64 108/841 x)

eval136.0ms (2%)

Compiler

Compiled 4144 to 3227 computations (22.1% saved)

prune78.0ms (1.2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New3551356
Fresh011
Picked404
Done134
Total3605365
Accurracy
100.0%
Counts
365 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(fma.f64 841/108 x 4/29)
99.8%
(+.f64 (/.f64 x 108/841) (/.f64 4 29))
99.9%
(+.f64 (*.f64 841/108 x) 4/29)
52.9%
(*.f64 841/108 x)
48.2%
4/29
Compiler

Compiled 196 to 158 computations (19.4% saved)

regimes69.0ms (1%)

Counts
21 → 1
Calls
Call 1
Inputs
4/29
(*.f64 841/108 x)
(+.f64 (*.f64 841/108 x) 4/29)
(+.f64 (/.f64 x 108/841) (/.f64 4 29))
(+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29))
(/.f64 (*.f64 x (*.f64 x -707281/11664)) (*.f64 x -841/108))
(/.f64 (-.f64 16/841 (*.f64 707281/11664 (*.f64 x x))) (*.f64 x -841/108))
(/.f64 (-.f64 16/841 (*.f64 707281/11664 (*.f64 x x))) (-.f64 4/29 (*.f64 841/108 x)))
(/.f64 (-.f64 16/841 (*.f64 x (*.f64 x 707281/11664))) (-.f64 4/29 (*.f64 841/108 x)))
(fma.f64 841/108 x 4/29)
(pow.f64 (/.f64 108/841 x) -1)
(pow.f64 (/.f64 1 (+.f64 (*.f64 841/108 x) 4/29)) -1)
(+.f64 (sqrt.f64 (*.f64 x (*.f64 x 707281/11664))) (/.f64 4 29))
(pow.f64 (cbrt.f64 (*.f64 841/108 x)) 3)
(pow.f64 (cbrt.f64 (+.f64 (*.f64 841/108 x) 4/29)) 3)
(pow.f64 (sqrt.f64 (+.f64 (*.f64 841/108 x) 4/29)) 2)
(+.f64 (*.f64 (pow.f64 (sqrt.f64 841/108) 2) x) (/.f64 4 29))
(+.f64 (pow.f64 (cbrt.f64 (*.f64 841/108 x)) 3) (/.f64 4 29))
(+.f64 (pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2) (/.f64 4 29))
(/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 841/108 x -4/29))
(fma.f64 (*.f64 841/108 (sqrt.f64 x)) (sqrt.f64 x) 4/29)
Outputs
(fma.f64 841/108 x 4/29)
Calls

3 calls:

32.0ms
(*.f64 (/.f64 841 108) x)
9.0ms
(+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29))
9.0ms
x
Results
AccuracySegmentsBranch
99.9%1x
99.9%1(+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29))
99.9%1(*.f64 (/.f64 841 108) x)
Compiler

Compiled 189 to 152 computations (19.6% saved)

regimes30.0ms (0.4%)

Counts
9 → 1
Calls
Call 1
Inputs
4/29
(*.f64 841/108 x)
(+.f64 (*.f64 841/108 x) 4/29)
(+.f64 (/.f64 x 108/841) (/.f64 4 29))
(+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29))
(/.f64 (*.f64 x (*.f64 x -707281/11664)) (*.f64 x -841/108))
(/.f64 (-.f64 16/841 (*.f64 707281/11664 (*.f64 x x))) (*.f64 x -841/108))
(/.f64 (-.f64 16/841 (*.f64 707281/11664 (*.f64 x x))) (-.f64 4/29 (*.f64 841/108 x)))
(/.f64 (-.f64 16/841 (*.f64 x (*.f64 x 707281/11664))) (-.f64 4/29 (*.f64 841/108 x)))
Outputs
(+.f64 (*.f64 841/108 x) 4/29)
Calls

3 calls:

18.0ms
x
5.0ms
(*.f64 (/.f64 841 108) x)
4.0ms
(+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29))
Results
AccuracySegmentsBranch
99.9%1x
99.9%1(+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29))
99.9%1(*.f64 (/.f64 841 108) x)
Compiler

Compiled 90 to 70 computations (22.2% saved)

regimes8.0ms (0.1%)

Counts
2 → 3
Calls
Call 1
Inputs
4/29
(*.f64 841/108 x)
Outputs
(*.f64 841/108 x)
4/29
(*.f64 841/108 x)
Calls

1 calls:

8.0ms
x
Results
AccuracySegmentsBranch
97.6%3x
Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes4.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
4/29
Outputs
4/29
Calls

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
48.2%1x
Compiler

Compiled 4 to 3 computations (25% saved)

bsearch29.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
15.0ms
1.8166953288629688e-5
0.020837659321995876
14.0ms
-0.10857356308037318
-4.0004806093354477e-8
Results
26.0ms272×body256valid
Compiler

Compiled 150 to 131 computations (12.7% saved)

simplify5.0ms (0.1%)

Algorithm
egg-herbie
Rules
+-commutative
if-if-or-not
*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01856
12556
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(fma.f64 841/108 x 4/29)
(+.f64 (*.f64 841/108 x) 4/29)
(if (<=.f64 x -1261007895663739/72057594037927936) (*.f64 841/108 x) (if (<=.f64 x 1261007895663739/72057594037927936) 4/29 (*.f64 841/108 x)))
4/29
Outputs
(fma.f64 841/108 x 4/29)
(+.f64 (*.f64 841/108 x) 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(if (<=.f64 x -1261007895663739/72057594037927936) (*.f64 841/108 x) (if (<=.f64 x 1261007895663739/72057594037927936) 4/29 (*.f64 841/108 x)))
4/29
Compiler

Compiled 29 to 23 computations (20.7% saved)

soundness255.0ms (3.8%)

Rules
1018×unpow-prod-down
1018×unpow-prod-down
842×log-prod
842×log-prod
430×pow-prod-down
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0139
1179
2189
01525
127725
2273925
01525
127725
2273925
Stop Event
node limit
node limit
saturated
Compiler

Compiled 299 to 252 computations (15.7% saved)

end90.0ms (1.4%)

Compiler

Compiled 72 to 58 computations (19.4% saved)

Profiling

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