Details

Time bar (total: 6.2s)

analyze3.0ms (0.1%)

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

Compiled 11 to 10 computations (9.1% saved)

sample1.0s (16.7%)

Results
991.0ms8251×body256valid
1.0msbody1024valid
0.0msbody256infinite
Bogosity

preprocess16.0ms (0.3%)

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)

simplify11.0ms (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)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New112
Fresh011
Picked000
Done000
Total123
Accurracy
99.9%
Counts
3 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29))
Compiler

Compiled 10 to 9 computations (10% saved)

localize13.0ms (0.2%)

Local Accuracy

Found 2 expressions with local accuracy:

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

Compiled 26 to 23 computations (11.5% saved)

series1.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite76.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
734×*-commutative
694×sqrt-prod
566×frac-times
446×swap-sqr
434×unswap-sqr
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01316
123916
2251716
Stop Event
node limit
Counts
2 → 128
Calls
Call 1
Inputs
(*.f64 (/.f64 841 108) x)
(+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29))
Outputs
(((+.f64 (exp.f64 (log1p.f64 (*.f64 841/108 x))) -1) (2)) ((-.f64 (exp.f64 (log1p.f64 (*.f64 841/108 x))) 1) (2)) ((/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 841/108 x))) (exp.f64 (log1p.f64 (*.f64 841/108 x)))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 841/108 x))) 1)) (2)) ((/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (*.f64 841/108 x))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 841/108 x))) (exp.f64 (log1p.f64 (*.f64 841/108 x)))) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (*.f64 841/108 x))) 1)))) (2)) ((pow.f64 (*.f64 841/108 x) 1) (2)) ((pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2) (2)) ((pow.f64 (cbrt.f64 (*.f64 841/108 x)) 3) (2)) ((pow.f64 (*.f64 594823321/1259712 (pow.f64 x 3)) 1/3) (2)) ((sqrt.f64 (*.f64 707281/11664 (*.f64 x x))) (2)) ((fabs.f64 (*.f64 841/108 x)) (2)) ((log.f64 (pow.f64 (exp.f64 841/108) x)) (2)) ((log.f64 (+.f64 1 (expm1.f64 (*.f64 841/108 x)))) (2)) ((cbrt.f64 (*.f64 594823321/1259712 (pow.f64 x 3))) (2)) ((expm1.f64 (log1p.f64 (*.f64 841/108 x))) (2)) ((exp.f64 (log.f64 (*.f64 841/108 x))) (2)) ((log1p.f64 (expm1.f64 (*.f64 841/108 x))) (2)))
(((-.f64 (exp.f64 (log1p.f64 (*.f64 841/108 x))) 25/29) (2)) ((-.f64 (exp.f64 (log1p.f64 (fma.f64 841/108 x 4/29))) 1) (2)) ((-.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))) (2)) ((-.f64 (+.f64 4/29 (exp.f64 (log1p.f64 (*.f64 841/108 x)))) 1) (2)) ((-.f64 (/.f64 16/841 (-.f64 4/29 (*.f64 841/108 x))) (/.f64 (*.f64 707281/11664 (*.f64 x x)) (-.f64 4/29 (*.f64 841/108 x)))) (2)) ((*.f64 (fma.f64 841/108 x 4/29) 1) (2)) ((*.f64 1 (fma.f64 841/108 x 4/29)) (2)) ((*.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) (sqrt.f64 (fma.f64 841/108 x 4/29))) (2)) ((*.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2)) (2)) ((*.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) (sqrt.f64 (*.f64 (fma.f64 841/108 x 4/29) (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))) (2)) ((*.f64 (+.f64 (*.f64 707281/11664 (*.f64 x x)) -16/841) (/.f64 1 (fma.f64 841/108 x -4/29))) (2)) ((*.f64 (+.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3))) (/.f64 1 (+.f64 16/841 (*.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29))))) (2)) ((*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 841/108 x 4/29))) (sqrt.f64 (sqrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3)))) (2)) ((*.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (/.f64 1 (-.f64 4/29 (*.f64 841/108 x)))) (2)) ((*.f64 (/.f64 1 (fma.f64 841/108 x -4/29)) (+.f64 (*.f64 707281/11664 (*.f64 x x)) -16/841)) (2)) ((*.f64 (/.f64 1 (+.f64 16/841 (*.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29)))) (+.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3)))) (2)) ((*.f64 (+.f64 (neg.f64 (*.f64 707281/11664 (*.f64 x x))) 16/841) (/.f64 1 (neg.f64 (fma.f64 841/108 x -4/29)))) (2)) ((*.f64 (+.f64 -64/24389 (neg.f64 (*.f64 594823321/1259712 (pow.f64 x 3)))) (/.f64 1 (neg.f64 (+.f64 16/841 (*.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29)))))) (2)) ((*.f64 (/.f64 (+.f64 (*.f64 707281/11664 (*.f64 x x)) -16/841) (+.f64 (*.f64 707281/11664 (*.f64 x x)) -16/841)) (fma.f64 841/108 x 4/29)) (2)) ((*.f64 (/.f64 1 (sqrt.f64 (fma.f64 841/108 x -4/29))) (/.f64 (+.f64 (*.f64 707281/11664 (*.f64 x x)) -16/841) (sqrt.f64 (fma.f64 841/108 x -4/29)))) (2)) ((*.f64 (/.f64 1 (*.f64 (cbrt.f64 (fma.f64 841/108 x -4/29)) (cbrt.f64 (fma.f64 841/108 x -4/29)))) (/.f64 (+.f64 (*.f64 707281/11664 (*.f64 x x)) -16/841) (cbrt.f64 (fma.f64 841/108 x -4/29)))) (2)) ((*.f64 (/.f64 1 (sqrt.f64 (+.f64 16/841 (*.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29))))) (/.f64 (+.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3))) (sqrt.f64 (+.f64 16/841 (*.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29)))))) (2)) ((*.f64 (/.f64 1 (*.f64 (cbrt.f64 (+.f64 16/841 (*.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29)))) (cbrt.f64 (+.f64 16/841 (*.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29)))))) (/.f64 (+.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3))) (cbrt.f64 (+.f64 16/841 (*.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29)))))) (2)) ((*.f64 (/.f64 (+.f64 (*.f64 707281/11664 (*.f64 x x)) -16/841) (+.f64 (*.f64 594823321/1259712 (pow.f64 x 3)) -64/24389)) (+.f64 (*.f64 707281/11664 (*.f64 x x)) (+.f64 16/841 (*.f64 x 29/27)))) (2)) ((*.f64 (/.f64 (+.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3))) (-.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896) (pow.f64 (-.f64 16/841 (*.f64 x 29/27)) 2))) (-.f64 (*.f64 707281/11664 (*.f64 x x)) (-.f64 16/841 (*.f64 x 29/27)))) (2)) ((*.f64 (/.f64 (+.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3))) (+.f64 (pow.f64 (*.f64 707281/11664 (*.f64 x x)) 3) (pow.f64 (-.f64 16/841 (*.f64 x 29/27)) 3))) (+.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896) (*.f64 (-.f64 16/841 (*.f64 x 29/27)) (-.f64 (-.f64 16/841 (*.f64 x 29/27)) (*.f64 707281/11664 (*.f64 x x)))))) (2)) ((*.f64 (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 3/2) (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 3/2)) (2)) ((*.f64 (pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3) 1/6) (pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3) 1/6)) (2)) ((*.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 707281/11664 (*.f64 x x)) -16/841)) 1) (/.f64 (sqrt.f64 (+.f64 (*.f64 707281/11664 (*.f64 x x)) -16/841)) (fma.f64 841/108 x -4/29))) (2)) ((*.f64 (/.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 707281/11664 (*.f64 x x)) -16/841)) (cbrt.f64 (+.f64 (*.f64 707281/11664 (*.f64 x x)) -16/841))) 1) (/.f64 (cbrt.f64 (+.f64 (*.f64 707281/11664 (*.f64 x x)) -16/841)) (fma.f64 841/108 x -4/29))) (2)) ((*.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 707281/11664 (*.f64 x x)) -16/841)) (*.f64 (cbrt.f64 (fma.f64 841/108 x -4/29)) (cbrt.f64 (fma.f64 841/108 x -4/29)))) (/.f64 (sqrt.f64 (+.f64 (*.f64 707281/11664 (*.f64 x x)) -16/841)) (cbrt.f64 (fma.f64 841/108 x -4/29)))) (2)) ((*.f64 (/.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 707281/11664 (*.f64 x x)) -16/841)) (cbrt.f64 (+.f64 (*.f64 707281/11664 (*.f64 x x)) -16/841))) (sqrt.f64 (fma.f64 841/108 x -4/29))) (/.f64 (cbrt.f64 (+.f64 (*.f64 707281/11664 (*.f64 x x)) -16/841)) (sqrt.f64 (fma.f64 841/108 x -4/29)))) (2)) ((*.f64 (/.f64 (sqrt.f64 (+.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3)))) 1) (/.f64 (sqrt.f64 (+.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3)))) (+.f64 16/841 (*.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29))))) (2)) ((*.f64 (/.f64 (sqrt.f64 (+.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3)))) (*.f64 (cbrt.f64 (+.f64 16/841 (*.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29)))) (cbrt.f64 (+.f64 16/841 (*.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29)))))) (/.f64 (sqrt.f64 (+.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3)))) (cbrt.f64 (+.f64 16/841 (*.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29)))))) (2)) ((*.f64 (/.f64 (*.f64 (cbrt.f64 (+.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3)))) (cbrt.f64 (+.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3))))) 1) (/.f64 (cbrt.f64 (+.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3)))) (+.f64 16/841 (*.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29))))) (2)) ((*.f64 (/.f64 (*.f64 (cbrt.f64 (+.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3)))) (cbrt.f64 (+.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3))))) (sqrt.f64 (+.f64 16/841 (*.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29))))) (/.f64 (cbrt.f64 (+.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3)))) (sqrt.f64 (+.f64 16/841 (*.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29)))))) (2)) ((*.f64 (sqrt.f64 (sqrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3))) (sqrt.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)))) (2)) ((*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 4)) (cbrt.f64 (fma.f64 841/108 x 4/29))) (2)) ((*.f64 (sqrt.f64 (*.f64 (fma.f64 841/108 x 4/29) (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2))) (sqrt.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)))) (2)) ((/.f64 1 (/.f64 1 (fma.f64 841/108 x 4/29))) (2)) ((/.f64 1 (/.f64 (/.f64 1 (fma.f64 841/108 x 4/29)) 1)) (2)) ((/.f64 1 (/.f64 (-.f64 4/29 (*.f64 841/108 x)) (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))))) (2)) ((/.f64 (+.f64 (*.f64 707281/11664 (*.f64 x x)) -16/841) (fma.f64 841/108 x -4/29)) (2)) ((/.f64 (+.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3))) (+.f64 16/841 (*.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29)))) (2)) ((/.f64 (sqrt.f64 (+.f64 (*.f64 707281/11664 (*.f64 x x)) -16/841)) (/.f64 (fma.f64 841/108 x -4/29) (sqrt.f64 (+.f64 (*.f64 707281/11664 (*.f64 x x)) -16/841)))) (2)) ((/.f64 (sqrt.f64 (+.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3)))) (/.f64 (+.f64 16/841 (*.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29))) (sqrt.f64 (+.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3)))))) (2)) ((/.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 707281/11664 (*.f64 x x)) -16/841)) (cbrt.f64 (+.f64 (*.f64 707281/11664 (*.f64 x x)) -16/841))) (/.f64 (fma.f64 841/108 x -4/29) (cbrt.f64 (+.f64 (*.f64 707281/11664 (*.f64 x x)) -16/841)))) (2)) ((/.f64 (*.f64 (cbrt.f64 (+.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3)))) (cbrt.f64 (+.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3))))) (/.f64 (+.f64 16/841 (*.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29))) (cbrt.f64 (+.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3)))))) (2)) ((/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (-.f64 4/29 (*.f64 841/108 x))) (2)) ((/.f64 (+.f64 (*.f64 (pow.f64 x 6) 353814783205469041/1586874322944) -4096/594823321) (*.f64 (+.f64 16/841 (*.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29))) (+.f64 (*.f64 594823321/1259712 (pow.f64 x 3)) -64/24389))) (2)) ((/.f64 (+.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896) -256/707281) (*.f64 (fma.f64 841/108 x -4/29) (+.f64 16/841 (*.f64 707281/11664 (*.f64 x x))))) (2)) ((/.f64 (+.f64 262144/14507145975869 (pow.f64 (*.f64 594823321/1259712 (pow.f64 x 3)) 3)) (*.f64 (+.f64 16/841 (*.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29))) (+.f64 (*.f64 (pow.f64 x 6) 353814783205469041/1586874322944) (-.f64 4096/594823321 (*.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3))))))) (2)) ((/.f64 (+.f64 (pow.f64 (*.f64 707281/11664 (*.f64 x x)) 3) -4096/594823321) (*.f64 (fma.f64 841/108 x -4/29) (+.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896) (+.f64 256/707281 (pow.f64 (*.f64 x 29/27) 2))))) (2)) ((/.f64 (+.f64 (neg.f64 (*.f64 707281/11664 (*.f64 x x))) 16/841) (neg.f64 (fma.f64 841/108 x -4/29))) (2)) ((/.f64 (+.f64 -64/24389 (neg.f64 (*.f64 594823321/1259712 (pow.f64 x 3)))) (neg.f64 (+.f64 16/841 (*.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29))))) (2)) ((/.f64 (*.f64 1 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x)))) (-.f64 4/29 (*.f64 841/108 x))) (2)) ((/.f64 (*.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) (sqrt.f64 (+.f64 (*.f64 707281/11664 (*.f64 x x)) -16/841))) (sqrt.f64 (fma.f64 841/108 x -4/29))) (2)) ((/.f64 (*.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) (sqrt.f64 (+.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3))))) (sqrt.f64 (+.f64 16/841 (*.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29))))) (2)) ((/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2) (cbrt.f64 (+.f64 (*.f64 707281/11664 (*.f64 x x)) -16/841))) (cbrt.f64 (fma.f64 841/108 x -4/29))) (2)) ((/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2) (cbrt.f64 (+.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3))))) (cbrt.f64 (+.f64 16/841 (*.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29))))) (2)) ((/.f64 (*.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) 1) (-.f64 4/29 (*.f64 841/108 x))) (2)) ((/.f64 (*.f64 (+.f64 (neg.f64 (*.f64 707281/11664 (*.f64 x x))) 16/841) 1) (neg.f64 (fma.f64 841/108 x -4/29))) (2)) ((/.f64 (*.f64 (+.f64 -64/24389 (neg.f64 (*.f64 594823321/1259712 (pow.f64 x 3)))) 1) (neg.f64 (+.f64 16/841 (*.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29))))) (2)) ((/.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 707281/11664 (*.f64 x x)) -16/841)) (sqrt.f64 (fma.f64 841/108 x 4/29))) (sqrt.f64 (fma.f64 841/108 x -4/29))) (2)) ((/.f64 (*.f64 (sqrt.f64 (+.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3)))) (sqrt.f64 (fma.f64 841/108 x 4/29))) (sqrt.f64 (+.f64 16/841 (*.f64 (*.f64 841/108 x) (fma.f64 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594823321/1259712 (pow.f64 x 3)) -64/24389)) (2)) ((/.f64 (*.f64 (+.f64 262144/14507145975869 (pow.f64 (*.f64 594823321/1259712 (pow.f64 x 3)) 3)) (/.f64 1 (+.f64 16/841 (*.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29))))) (+.f64 (*.f64 (pow.f64 x 6) 353814783205469041/1586874322944) (-.f64 4096/594823321 (*.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3)))))) (2)) ((/.f64 (/.f64 (+.f64 (*.f64 707281/11664 (*.f64 x x)) -16/841) 1) (fma.f64 841/108 x -4/29)) (2)) ((/.f64 (/.f64 (+.f64 (*.f64 707281/11664 (*.f64 x x)) -16/841) (sqrt.f64 (fma.f64 841/108 x -4/29))) (sqrt.f64 (fma.f64 841/108 x -4/29))) (2)) ((/.f64 (/.f64 (+.f64 (*.f64 707281/11664 (*.f64 x x)) -16/841) (*.f64 (cbrt.f64 (fma.f64 841/108 x -4/29)) (cbrt.f64 (fma.f64 841/108 x -4/29)))) (cbrt.f64 (fma.f64 841/108 x -4/29))) (2)) ((/.f64 (/.f64 (+.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3))) 1) (+.f64 16/841 (*.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29)))) (2)) ((/.f64 (/.f64 (+.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3))) (sqrt.f64 (+.f64 16/841 (*.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29))))) (sqrt.f64 (+.f64 16/841 (*.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29))))) (2)) ((/.f64 (/.f64 (+.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3))) (*.f64 (cbrt.f64 (+.f64 16/841 (*.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29)))) (cbrt.f64 (+.f64 16/841 (*.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29)))))) (cbrt.f64 (+.f64 16/841 (*.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29))))) (2)) ((/.f64 -1 (neg.f64 (/.f64 1 (fma.f64 841/108 x 4/29)))) (2)) ((/.f64 (*.f64 (sqrt.f64 (+.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3)))) (sqrt.f64 (+.f64 (*.f64 707281/11664 (*.f64 x x)) -16/841))) (*.f64 (sqrt.f64 (+.f64 16/841 (*.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29)))) (sqrt.f64 (fma.f64 841/108 x -4/29)))) (2)) ((/.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 707281/11664 (*.f64 x x)) -16/841)) (sqrt.f64 (+.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3))))) (*.f64 (sqrt.f64 (fma.f64 841/108 x -4/29)) (sqrt.f64 (+.f64 16/841 (*.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29)))))) (2)) ((/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (fma.f64 841/108 x 4/29))) (exp.f64 (log1p.f64 (fma.f64 841/108 x 4/29)))) 1) (+.f64 (exp.f64 (log1p.f64 (fma.f64 841/108 x 4/29))) 1)) (2)) ((/.f64 (-.f64 (*.f64 (/.f64 (*.f64 707281/11664 (*.f64 x x)) (fma.f64 841/108 x -4/29)) (/.f64 (*.f64 707281/11664 (*.f64 x x)) (fma.f64 841/108 x -4/29))) (*.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 x x)) (fma.f64 841/108 x -4/29)) (/.f64 16/841 (fma.f64 841/108 x -4/29)))) (2)) ((/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (fma.f64 841/108 x 4/29))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (fma.f64 841/108 x 4/29))) (exp.f64 (log1p.f64 (fma.f64 841/108 x 4/29)))) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (fma.f64 841/108 x 4/29))) 1)))) (2)) ((/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 707281/11664 (*.f64 x x)) (fma.f64 841/108 x -4/29)) 3) (pow.f64 (/.f64 16/841 (fma.f64 841/108 x -4/29)) 3)) (+.f64 (*.f64 (/.f64 (*.f64 707281/11664 (*.f64 x x)) (fma.f64 841/108 x -4/29)) (/.f64 (*.f64 707281/11664 (*.f64 x x)) (fma.f64 841/108 x -4/29))) (+.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 x x)) (fma.f64 841/108 x -4/29)) (/.f64 16/841 (fma.f64 841/108 x -4/29)))))) (2)) ((/.f64 (-.f64 (*.f64 (*.f64 707281/11664 (*.f64 x x)) (fma.f64 841/108 x -4/29)) (*.f64 (fma.f64 841/108 x -4/29) 16/841)) (pow.f64 (fma.f64 841/108 x -4/29) 2)) (2)) ((/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896) -256/707281) 1) (*.f64 (+.f64 16/841 (*.f64 707281/11664 (*.f64 x x))) (fma.f64 841/108 x -4/29))) (2)) ((/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 707281/11664 (*.f64 x x)) 3) -4096/594823321) 1) (*.f64 (+.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896) (+.f64 256/707281 (pow.f64 (*.f64 x 29/27) 2))) (fma.f64 841/108 x -4/29))) (2)) ((/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 x 6) 353814783205469041/1586874322944) -4096/594823321) 1) (*.f64 (+.f64 (*.f64 594823321/1259712 (pow.f64 x 3)) -64/24389) (+.f64 16/841 (*.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29))))) (2)) ((/.f64 (*.f64 (+.f64 262144/14507145975869 (pow.f64 (*.f64 594823321/1259712 (pow.f64 x 3)) 3)) 1) (*.f64 (+.f64 (*.f64 (pow.f64 x 6) 353814783205469041/1586874322944) (-.f64 4096/594823321 (*.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3))))) (+.f64 16/841 (*.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29))))) (2)) ((/.f64 (neg.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x)))) (neg.f64 (-.f64 4/29 (*.f64 841/108 x)))) (2)) ((/.f64 (neg.f64 (+.f64 (neg.f64 (*.f64 707281/11664 (*.f64 x x))) 16/841)) (neg.f64 (neg.f64 (fma.f64 841/108 x -4/29)))) (2)) ((/.f64 (neg.f64 (+.f64 -64/24389 (neg.f64 (*.f64 594823321/1259712 (pow.f64 x 3))))) (neg.f64 (neg.f64 (+.f64 16/841 (*.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29)))))) (2)) ((pow.f64 (fma.f64 841/108 x 4/29) 1) (2)) ((pow.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) 2) (2)) ((pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 3) (2)) ((pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3) 1/3) (2)) ((neg.f64 (/.f64 (+.f64 (*.f64 707281/11664 (*.f64 x x)) -16/841) (neg.f64 (fma.f64 841/108 x -4/29)))) (2)) ((neg.f64 (/.f64 (+.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3))) (neg.f64 (+.f64 16/841 (*.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29)))))) (2)) ((sqrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 2)) (2)) ((fabs.f64 (fma.f64 841/108 x 4/29)) (2)) ((log.f64 (exp.f64 (fma.f64 841/108 x 4/29))) (2)) ((log.f64 (+.f64 1 (expm1.f64 (fma.f64 841/108 x 4/29)))) (2)) ((cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3)) (2)) ((expm1.f64 (log1p.f64 (fma.f64 841/108 x 4/29))) (2)) ((exp.f64 (log.f64 (fma.f64 841/108 x 4/29))) (2)) ((log1p.f64 (expm1.f64 (fma.f64 841/108 x 4/29))) (2)) ((fma.f64 841/108 x 4/29) (2)) ((fma.f64 x 841/108 4/29) (2)) ((fma.f64 1 (*.f64 841/108 x) 4/29) (2)) ((fma.f64 (sqrt.f64 (*.f64 841/108 x)) (sqrt.f64 (*.f64 841/108 x)) 4/29) (2)) ((fma.f64 (pow.f64 (cbrt.f64 (*.f64 841/108 x)) 2) (cbrt.f64 (*.f64 841/108 x)) 4/29) (2)))

simplify164.0ms (2.6%)

Algorithm
egg-herbie
Rules
1026×associate-/r/
1018×associate-/l/
440×+-commutative
414×distribute-lft-neg-in
392×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03765842
110554826
240884784
Stop Event
node limit
Counts
152 → 194
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))
(+.f64 (exp.f64 (log1p.f64 (*.f64 841/108 x))) -1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 841/108 x))) 1)
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 841/108 x))) (exp.f64 (log1p.f64 (*.f64 841/108 x)))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 841/108 x))) 1))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (*.f64 841/108 x))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 841/108 x))) (exp.f64 (log1p.f64 (*.f64 841/108 x)))) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (*.f64 841/108 x))) 1))))
(pow.f64 (*.f64 841/108 x) 1)
(pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2)
(pow.f64 (cbrt.f64 (*.f64 841/108 x)) 3)
(pow.f64 (*.f64 594823321/1259712 (pow.f64 x 3)) 1/3)
(sqrt.f64 (*.f64 707281/11664 (*.f64 x x)))
(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)))
(log1p.f64 (expm1.f64 (*.f64 841/108 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 841/108 x))) 25/29)
(-.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 (+.f64 4/29 (exp.f64 (log1p.f64 (*.f64 841/108 x)))) 1)
(-.f64 (/.f64 16/841 (-.f64 4/29 (*.f64 841/108 x))) (/.f64 (*.f64 707281/11664 (*.f64 x x)) (-.f64 4/29 (*.f64 841/108 x))))
(*.f64 (fma.f64 841/108 x 4/29) 1)
(*.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 (cbrt.f64 (fma.f64 841/108 x 4/29)) (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2))
(*.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) (sqrt.f64 (*.f64 (fma.f64 841/108 x 4/29) (cbrt.f64 (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)))
(*.f64 (+.f64 (*.f64 707281/11664 (*.f64 x x)) -16/841) (/.f64 1 (fma.f64 841/108 x -4/29)))
(*.f64 (+.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3))) (/.f64 1 (+.f64 16/841 (*.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29)))))
(*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 841/108 x 4/29))) (sqrt.f64 (sqrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3))))
(*.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (/.f64 1 (-.f64 4/29 (*.f64 841/108 x))))
(*.f64 (/.f64 1 (fma.f64 841/108 x -4/29)) (+.f64 (*.f64 707281/11664 (*.f64 x x)) -16/841))
(*.f64 (/.f64 1 (+.f64 16/841 (*.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29)))) (+.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3))))
(*.f64 (+.f64 (neg.f64 (*.f64 707281/11664 (*.f64 x x))) 16/841) (/.f64 1 (neg.f64 (fma.f64 841/108 x -4/29))))
(*.f64 (+.f64 -64/24389 (neg.f64 (*.f64 594823321/1259712 (pow.f64 x 3)))) (/.f64 1 (neg.f64 (+.f64 16/841 (*.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29))))))
(*.f64 (/.f64 (+.f64 (*.f64 707281/11664 (*.f64 x x)) -16/841) (+.f64 (*.f64 707281/11664 (*.f64 x x)) -16/841)) (fma.f64 841/108 x 4/29))
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 841/108 x -4/29))) (/.f64 (+.f64 (*.f64 707281/11664 (*.f64 x x)) -16/841) (sqrt.f64 (fma.f64 841/108 x -4/29))))
(*.f64 (/.f64 1 (*.f64 (cbrt.f64 (fma.f64 841/108 x -4/29)) (cbrt.f64 (fma.f64 841/108 x -4/29)))) (/.f64 (+.f64 (*.f64 707281/11664 (*.f64 x x)) -16/841) (cbrt.f64 (fma.f64 841/108 x -4/29))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 16/841 (*.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29))))) (/.f64 (+.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3))) (sqrt.f64 (+.f64 16/841 (*.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29))))))
(*.f64 (/.f64 1 (*.f64 (cbrt.f64 (+.f64 16/841 (*.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29)))) (cbrt.f64 (+.f64 16/841 (*.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29)))))) (/.f64 (+.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3))) (cbrt.f64 (+.f64 16/841 (*.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29))))))
(*.f64 (/.f64 (+.f64 (*.f64 707281/11664 (*.f64 x x)) -16/841) (+.f64 (*.f64 594823321/1259712 (pow.f64 x 3)) -64/24389)) (+.f64 (*.f64 707281/11664 (*.f64 x x)) (+.f64 16/841 (*.f64 x 29/27))))
(*.f64 (/.f64 (+.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3))) (-.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896) (pow.f64 (-.f64 16/841 (*.f64 x 29/27)) 2))) (-.f64 (*.f64 707281/11664 (*.f64 x x)) (-.f64 16/841 (*.f64 x 29/27))))
(*.f64 (/.f64 (+.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3))) (+.f64 (pow.f64 (*.f64 707281/11664 (*.f64 x x)) 3) (pow.f64 (-.f64 16/841 (*.f64 x 29/27)) 3))) (+.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896) (*.f64 (-.f64 16/841 (*.f64 x 29/27)) (-.f64 (-.f64 16/841 (*.f64 x 29/27)) (*.f64 707281/11664 (*.f64 x x))))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 3/2) (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 3/2))
(*.f64 (pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3) 1/6) (pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3) 1/6))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 707281/11664 (*.f64 x x)) -16/841)) 1) (/.f64 (sqrt.f64 (+.f64 (*.f64 707281/11664 (*.f64 x x)) -16/841)) (fma.f64 841/108 x -4/29)))
(*.f64 (/.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 707281/11664 (*.f64 x x)) -16/841)) (cbrt.f64 (+.f64 (*.f64 707281/11664 (*.f64 x x)) -16/841))) 1) (/.f64 (cbrt.f64 (+.f64 (*.f64 707281/11664 (*.f64 x x)) -16/841)) (fma.f64 841/108 x -4/29)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 707281/11664 (*.f64 x x)) -16/841)) (*.f64 (cbrt.f64 (fma.f64 841/108 x -4/29)) (cbrt.f64 (fma.f64 841/108 x -4/29)))) (/.f64 (sqrt.f64 (+.f64 (*.f64 707281/11664 (*.f64 x x)) -16/841)) (cbrt.f64 (fma.f64 841/108 x -4/29))))
(*.f64 (/.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 707281/11664 (*.f64 x x)) -16/841)) (cbrt.f64 (+.f64 (*.f64 707281/11664 (*.f64 x x)) -16/841))) (sqrt.f64 (fma.f64 841/108 x -4/29))) (/.f64 (cbrt.f64 (+.f64 (*.f64 707281/11664 (*.f64 x x)) -16/841)) (sqrt.f64 (fma.f64 841/108 x -4/29))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3)))) 1) (/.f64 (sqrt.f64 (+.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3)))) (+.f64 16/841 (*.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29)))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3)))) (*.f64 (cbrt.f64 (+.f64 16/841 (*.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29)))) (cbrt.f64 (+.f64 16/841 (*.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29)))))) (/.f64 (sqrt.f64 (+.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3)))) (cbrt.f64 (+.f64 16/841 (*.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29))))))
(*.f64 (/.f64 (*.f64 (cbrt.f64 (+.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3)))) (cbrt.f64 (+.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3))))) 1) (/.f64 (cbrt.f64 (+.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3)))) (+.f64 16/841 (*.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29)))))
(*.f64 (/.f64 (*.f64 (cbrt.f64 (+.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3)))) (cbrt.f64 (+.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3))))) (sqrt.f64 (+.f64 16/841 (*.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29))))) (/.f64 (cbrt.f64 (+.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3)))) (sqrt.f64 (+.f64 16/841 (*.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29))))))
(*.f64 (sqrt.f64 (sqrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3))) (sqrt.f64 (sqrt.f64 (fma.f64 841/108 x 4/29))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 4)) (cbrt.f64 (fma.f64 841/108 x 4/29)))
(*.f64 (sqrt.f64 (*.f64 (fma.f64 841/108 x 4/29) (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2))) (sqrt.f64 (cbrt.f64 (fma.f64 841/108 x 4/29))))
(/.f64 1 (/.f64 1 (fma.f64 841/108 x 4/29)))
(/.f64 1 (/.f64 (/.f64 1 (fma.f64 841/108 x 4/29)) 1))
(/.f64 1 (/.f64 (-.f64 4/29 (*.f64 841/108 x)) (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x)))))
(/.f64 (+.f64 (*.f64 707281/11664 (*.f64 x x)) -16/841) (fma.f64 841/108 x -4/29))
(/.f64 (+.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3))) (+.f64 16/841 (*.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29))))
(/.f64 (sqrt.f64 (+.f64 (*.f64 707281/11664 (*.f64 x x)) -16/841)) (/.f64 (fma.f64 841/108 x -4/29) (sqrt.f64 (+.f64 (*.f64 707281/11664 (*.f64 x x)) -16/841))))
(/.f64 (sqrt.f64 (+.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3)))) (/.f64 (+.f64 16/841 (*.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29))) (sqrt.f64 (+.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3))))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 707281/11664 (*.f64 x x)) -16/841)) (cbrt.f64 (+.f64 (*.f64 707281/11664 (*.f64 x x)) -16/841))) (/.f64 (fma.f64 841/108 x -4/29) (cbrt.f64 (+.f64 (*.f64 707281/11664 (*.f64 x x)) -16/841))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3)))) (cbrt.f64 (+.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3))))) (/.f64 (+.f64 16/841 (*.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29))) (cbrt.f64 (+.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3))))))
(/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (-.f64 4/29 (*.f64 841/108 x)))
(/.f64 (+.f64 (*.f64 (pow.f64 x 6) 353814783205469041/1586874322944) -4096/594823321) (*.f64 (+.f64 16/841 (*.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29))) (+.f64 (*.f64 594823321/1259712 (pow.f64 x 3)) -64/24389)))
(/.f64 (+.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896) -256/707281) (*.f64 (fma.f64 841/108 x -4/29) (+.f64 16/841 (*.f64 707281/11664 (*.f64 x x)))))
(/.f64 (+.f64 262144/14507145975869 (pow.f64 (*.f64 594823321/1259712 (pow.f64 x 3)) 3)) (*.f64 (+.f64 16/841 (*.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29))) (+.f64 (*.f64 (pow.f64 x 6) 353814783205469041/1586874322944) (-.f64 4096/594823321 (*.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 707281/11664 (*.f64 x x)) 3) -4096/594823321) (*.f64 (fma.f64 841/108 x -4/29) (+.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896) (+.f64 256/707281 (pow.f64 (*.f64 x 29/27) 2)))))
(/.f64 (+.f64 (neg.f64 (*.f64 707281/11664 (*.f64 x x))) 16/841) (neg.f64 (fma.f64 841/108 x -4/29)))
(/.f64 (+.f64 -64/24389 (neg.f64 (*.f64 594823321/1259712 (pow.f64 x 3)))) (neg.f64 (+.f64 16/841 (*.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29)))))
(/.f64 (*.f64 1 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x)))) (-.f64 4/29 (*.f64 841/108 x)))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) (sqrt.f64 (+.f64 (*.f64 707281/11664 (*.f64 x x)) -16/841))) (sqrt.f64 (fma.f64 841/108 x -4/29)))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) (sqrt.f64 (+.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3))))) (sqrt.f64 (+.f64 16/841 (*.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29)))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2) (cbrt.f64 (+.f64 (*.f64 707281/11664 (*.f64 x x)) -16/841))) (cbrt.f64 (fma.f64 841/108 x -4/29)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2) (cbrt.f64 (+.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3))))) (cbrt.f64 (+.f64 16/841 (*.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29)))))
(/.f64 (*.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) 1) (-.f64 4/29 (*.f64 841/108 x)))
(/.f64 (*.f64 (+.f64 (neg.f64 (*.f64 707281/11664 (*.f64 x x))) 16/841) 1) (neg.f64 (fma.f64 841/108 x -4/29)))
(/.f64 (*.f64 (+.f64 -64/24389 (neg.f64 (*.f64 594823321/1259712 (pow.f64 x 3)))) 1) (neg.f64 (+.f64 16/841 (*.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 707281/11664 (*.f64 x x)) -16/841)) (sqrt.f64 (fma.f64 841/108 x 4/29))) (sqrt.f64 (fma.f64 841/108 x -4/29)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3)))) (sqrt.f64 (fma.f64 841/108 x 4/29))) (sqrt.f64 (+.f64 16/841 (*.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 707281/11664 (*.f64 x x)) -16/841)) (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2)) (cbrt.f64 (fma.f64 841/108 x -4/29)))
(/.f64 (*.f64 (cbrt.f64 (+.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3)))) (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2)) (cbrt.f64 (+.f64 16/841 (*.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29)))))
(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896) -256/707281) (/.f64 1 (fma.f64 841/108 x -4/29))) (+.f64 16/841 (*.f64 707281/11664 (*.f64 x x))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 707281/11664 (*.f64 x x)) 3) -4096/594823321) (/.f64 1 (fma.f64 841/108 x -4/29))) (+.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896) (+.f64 256/707281 (pow.f64 (*.f64 x 29/27) 2))))
(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 x 6) 353814783205469041/1586874322944) -4096/594823321) (/.f64 1 (+.f64 16/841 (*.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29))))) (+.f64 (*.f64 594823321/1259712 (pow.f64 x 3)) -64/24389))
(/.f64 (*.f64 (+.f64 262144/14507145975869 (pow.f64 (*.f64 594823321/1259712 (pow.f64 x 3)) 3)) (/.f64 1 (+.f64 16/841 (*.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29))))) (+.f64 (*.f64 (pow.f64 x 6) 353814783205469041/1586874322944) (-.f64 4096/594823321 (*.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3))))))
(/.f64 (/.f64 (+.f64 (*.f64 707281/11664 (*.f64 x x)) -16/841) 1) (fma.f64 841/108 x -4/29))
(/.f64 (/.f64 (+.f64 (*.f64 707281/11664 (*.f64 x x)) -16/841) (sqrt.f64 (fma.f64 841/108 x -4/29))) (sqrt.f64 (fma.f64 841/108 x -4/29)))
(/.f64 (/.f64 (+.f64 (*.f64 707281/11664 (*.f64 x x)) -16/841) (*.f64 (cbrt.f64 (fma.f64 841/108 x -4/29)) (cbrt.f64 (fma.f64 841/108 x -4/29)))) (cbrt.f64 (fma.f64 841/108 x -4/29)))
(/.f64 (/.f64 (+.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3))) 1) (+.f64 16/841 (*.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29))))
(/.f64 (/.f64 (+.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3))) (sqrt.f64 (+.f64 16/841 (*.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29))))) (sqrt.f64 (+.f64 16/841 (*.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29)))))
(/.f64 (/.f64 (+.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3))) (*.f64 (cbrt.f64 (+.f64 16/841 (*.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29)))) (cbrt.f64 (+.f64 16/841 (*.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29)))))) (cbrt.f64 (+.f64 16/841 (*.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29)))))
(/.f64 -1 (neg.f64 (/.f64 1 (fma.f64 841/108 x 4/29))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3)))) (sqrt.f64 (+.f64 (*.f64 707281/11664 (*.f64 x x)) -16/841))) (*.f64 (sqrt.f64 (+.f64 16/841 (*.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29)))) (sqrt.f64 (fma.f64 841/108 x -4/29))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 707281/11664 (*.f64 x x)) -16/841)) (sqrt.f64 (+.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3))))) (*.f64 (sqrt.f64 (fma.f64 841/108 x -4/29)) (sqrt.f64 (+.f64 16/841 (*.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29))))))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (fma.f64 841/108 x 4/29))) (exp.f64 (log1p.f64 (fma.f64 841/108 x 4/29)))) 1) (+.f64 (exp.f64 (log1p.f64 (fma.f64 841/108 x 4/29))) 1))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 707281/11664 (*.f64 x x)) (fma.f64 841/108 x -4/29)) (/.f64 (*.f64 707281/11664 (*.f64 x x)) (fma.f64 841/108 x -4/29))) (*.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 x x)) (fma.f64 841/108 x -4/29)) (/.f64 16/841 (fma.f64 841/108 x -4/29))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (fma.f64 841/108 x 4/29))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (fma.f64 841/108 x 4/29))) (exp.f64 (log1p.f64 (fma.f64 841/108 x 4/29)))) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (fma.f64 841/108 x 4/29))) 1))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 707281/11664 (*.f64 x x)) (fma.f64 841/108 x -4/29)) 3) (pow.f64 (/.f64 16/841 (fma.f64 841/108 x -4/29)) 3)) (+.f64 (*.f64 (/.f64 (*.f64 707281/11664 (*.f64 x x)) (fma.f64 841/108 x -4/29)) (/.f64 (*.f64 707281/11664 (*.f64 x x)) (fma.f64 841/108 x -4/29))) (+.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 x x)) (fma.f64 841/108 x -4/29)) (/.f64 16/841 (fma.f64 841/108 x -4/29))))))
(/.f64 (-.f64 (*.f64 (*.f64 707281/11664 (*.f64 x x)) (fma.f64 841/108 x -4/29)) (*.f64 (fma.f64 841/108 x -4/29) 16/841)) (pow.f64 (fma.f64 841/108 x -4/29) 2))
(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896) -256/707281) 1) (*.f64 (+.f64 16/841 (*.f64 707281/11664 (*.f64 x x))) (fma.f64 841/108 x -4/29)))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 707281/11664 (*.f64 x x)) 3) -4096/594823321) 1) (*.f64 (+.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896) (+.f64 256/707281 (pow.f64 (*.f64 x 29/27) 2))) (fma.f64 841/108 x -4/29)))
(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 x 6) 353814783205469041/1586874322944) -4096/594823321) 1) (*.f64 (+.f64 (*.f64 594823321/1259712 (pow.f64 x 3)) -64/24389) (+.f64 16/841 (*.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29)))))
(/.f64 (*.f64 (+.f64 262144/14507145975869 (pow.f64 (*.f64 594823321/1259712 (pow.f64 x 3)) 3)) 1) (*.f64 (+.f64 (*.f64 (pow.f64 x 6) 353814783205469041/1586874322944) (-.f64 4096/594823321 (*.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3))))) (+.f64 16/841 (*.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29)))))
(/.f64 (neg.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x)))) (neg.f64 (-.f64 4/29 (*.f64 841/108 x))))
(/.f64 (neg.f64 (+.f64 (neg.f64 (*.f64 707281/11664 (*.f64 x x))) 16/841)) (neg.f64 (neg.f64 (fma.f64 841/108 x -4/29))))
(/.f64 (neg.f64 (+.f64 -64/24389 (neg.f64 (*.f64 594823321/1259712 (pow.f64 x 3))))) (neg.f64 (neg.f64 (+.f64 16/841 (*.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29))))))
(pow.f64 (fma.f64 841/108 x 4/29) 1)
(pow.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) 2)
(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)
(neg.f64 (/.f64 (+.f64 (*.f64 707281/11664 (*.f64 x x)) -16/841) (neg.f64 (fma.f64 841/108 x -4/29))))
(neg.f64 (/.f64 (+.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3))) (neg.f64 (+.f64 16/841 (*.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29))))))
(sqrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 2))
(fabs.f64 (fma.f64 841/108 x 4/29))
(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)))
(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 1 (*.f64 841/108 x) 4/29)
(fma.f64 (sqrt.f64 (*.f64 841/108 x)) (sqrt.f64 (*.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)
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)
(+.f64 (exp.f64 (log1p.f64 (*.f64 841/108 x))) -1)
(*.f64 841/108 x)
(-.f64 (exp.f64 (log1p.f64 (*.f64 841/108 x))) 1)
(*.f64 841/108 x)
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 841/108 x))) (exp.f64 (log1p.f64 (*.f64 841/108 x)))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 841/108 x))) 1))
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(/.f64 (*.f64 (fma.f64 841/108 x -4/29) (fma.f64 707281/11664 (*.f64 x x) -16/841)) (pow.f64 (fma.f64 841/108 x -4/29) 2))
(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896) -256/707281) 1) (*.f64 (+.f64 16/841 (*.f64 707281/11664 (*.f64 x x))) (fma.f64 841/108 x -4/29)))
(/.f64 (fma.f64 (pow.f64 x 4) 500246412961/136048896 -256/707281) (*.f64 (fma.f64 841/108 x -4/29) (+.f64 (*.f64 (*.f64 707281/11664 x) x) 16/841)))
(/.f64 (fma.f64 (pow.f64 x 4) 500246412961/136048896 -256/707281) (*.f64 (fma.f64 841/108 x -4/29) (fma.f64 707281/11664 (*.f64 x x) 16/841)))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 707281/11664 (*.f64 x x)) 3) -4096/594823321) 1) (*.f64 (+.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896) (+.f64 256/707281 (pow.f64 (*.f64 x 29/27) 2))) (fma.f64 841/108 x -4/29)))
(/.f64 (+.f64 (*.f64 353814783205469041/1586874322944 (pow.f64 (*.f64 x x) 3)) -4096/594823321) (*.f64 (fma.f64 841/108 x -4/29) (fma.f64 (pow.f64 x 4) 500246412961/136048896 (+.f64 256/707281 (pow.f64 (*.f64 x 29/27) 2)))))
(/.f64 (fma.f64 (pow.f64 x 6) 353814783205469041/1586874322944 -4096/594823321) (*.f64 (fma.f64 841/108 x -4/29) (+.f64 (*.f64 (*.f64 x x) 841/729) (fma.f64 (pow.f64 x 4) 500246412961/136048896 256/707281))))
(/.f64 (/.f64 (fma.f64 (pow.f64 x 6) 353814783205469041/1586874322944 -4096/594823321) (fma.f64 841/108 x -4/29)) (+.f64 (*.f64 (*.f64 x x) 841/729) (fma.f64 (pow.f64 x 4) 500246412961/136048896 256/707281)))
(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 x 6) 353814783205469041/1586874322944) -4096/594823321) 1) (*.f64 (+.f64 (*.f64 594823321/1259712 (pow.f64 x 3)) -64/24389) (+.f64 16/841 (*.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29)))))
(/.f64 (fma.f64 (pow.f64 x 6) 353814783205469041/1586874322944 -4096/594823321) (*.f64 (+.f64 16/841 (*.f64 841/108 (*.f64 x (fma.f64 841/108 x -4/29)))) (fma.f64 594823321/1259712 (pow.f64 x 3) -64/24389)))
(/.f64 (fma.f64 (pow.f64 x 6) 353814783205469041/1586874322944 -4096/594823321) (*.f64 (fma.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29) 16/841) (fma.f64 594823321/1259712 (pow.f64 x 3) -64/24389)))
(/.f64 (*.f64 (+.f64 262144/14507145975869 (pow.f64 (*.f64 594823321/1259712 (pow.f64 x 3)) 3)) 1) (*.f64 (+.f64 (*.f64 (pow.f64 x 6) 353814783205469041/1586874322944) (-.f64 4096/594823321 (*.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3))))) (+.f64 16/841 (*.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29)))))
(/.f64 (+.f64 262144/14507145975869 (*.f64 210457284365172120330305161/1999004627104432128 (pow.f64 (pow.f64 x 3) 3))) (*.f64 (+.f64 16/841 (*.f64 841/108 (*.f64 x (fma.f64 841/108 x -4/29)))) (fma.f64 (pow.f64 x 6) 353814783205469041/1586874322944 (-.f64 4096/594823321 (*.f64 24389/19683 (pow.f64 x 3))))))
(/.f64 (fma.f64 210457284365172120330305161/1999004627104432128 (pow.f64 (pow.f64 x 3) 3) 262144/14507145975869) (*.f64 (fma.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29) 16/841) (+.f64 (fma.f64 (pow.f64 x 6) 353814783205469041/1586874322944 4096/594823321) (*.f64 -24389/19683 (pow.f64 x 3)))))
(/.f64 (/.f64 (fma.f64 210457284365172120330305161/1999004627104432128 (pow.f64 (pow.f64 x 3) 3) 262144/14507145975869) (fma.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29) 16/841)) (+.f64 (fma.f64 (pow.f64 x 6) 353814783205469041/1586874322944 4096/594823321) (*.f64 (pow.f64 x 3) -24389/19683)))
(/.f64 (neg.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x)))) (neg.f64 (-.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 (fma.f64 (*.f64 x 707281/11664) x -16/841) (fma.f64 841/108 x -4/29))
(/.f64 (fma.f64 707281/11664 (*.f64 x x) -16/841) (fma.f64 841/108 x -4/29))
(/.f64 (neg.f64 (+.f64 (neg.f64 (*.f64 707281/11664 (*.f64 x x))) 16/841)) (neg.f64 (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 (fma.f64 (*.f64 x 707281/11664) x -16/841) (fma.f64 841/108 x -4/29))
(/.f64 (fma.f64 707281/11664 (*.f64 x x) -16/841) (fma.f64 841/108 x -4/29))
(/.f64 (neg.f64 (+.f64 -64/24389 (neg.f64 (*.f64 594823321/1259712 (pow.f64 x 3))))) (neg.f64 (neg.f64 (+.f64 16/841 (*.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29))))))
(*.f64 (+.f64 (*.f64 594823321/1259712 (pow.f64 x 3)) 64/24389) (/.f64 1 (+.f64 16/841 (*.f64 841/108 (*.f64 x (fma.f64 841/108 x -4/29))))))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (fma.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29) 16/841))
(pow.f64 (fma.f64 841/108 x 4/29) 1)
(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 (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) 3) 1/3)
(fma.f64 841/108 x 4/29)
(neg.f64 (/.f64 (+.f64 (*.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 (fma.f64 (*.f64 x 707281/11664) x -16/841) (fma.f64 841/108 x -4/29))
(/.f64 (fma.f64 707281/11664 (*.f64 x x) -16/841) (fma.f64 841/108 x -4/29))
(neg.f64 (/.f64 (+.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3))) (neg.f64 (+.f64 16/841 (*.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29))))))
(*.f64 (+.f64 (*.f64 594823321/1259712 (pow.f64 x 3)) 64/24389) (/.f64 1 (+.f64 16/841 (*.f64 841/108 (*.f64 x (fma.f64 841/108 x -4/29))))))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (fma.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29) 16/841))
(sqrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 2))
(fma.f64 841/108 x 4/29)
(fabs.f64 (fma.f64 841/108 x 4/29))
(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)
(log1p.f64 (expm1.f64 (fma.f64 841/108 x 4/29)))
(fma.f64 841/108 x 4/29)
(fma.f64 841/108 x 4/29)
(fma.f64 x 841/108 4/29)
(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 (sqrt.f64 (*.f64 841/108 x)) (sqrt.f64 (*.f64 841/108 x)) 4/29)
(fma.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 841/108 x 4/29)

eval144.0ms (2.3%)

Compiler

Compiled 4279 to 3450 computations (19.4% saved)

prune30.0ms (0.5%)

Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New1868194
Fresh000
Picked101
Done000
Total1878195
Accurracy
100.0%
Counts
195 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
70.5%
(/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (-.f64 4/29 (*.f64 841/108 x)))
69.8%
(/.f64 1 (/.f64 (-.f64 4/29 (*.f64 841/108 x)) (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x)))))
99.7%
(/.f64 1 (/.f64 1 (fma.f64 841/108 x 4/29)))
70.5%
(-.f64 (/.f64 16/841 (+.f64 4/29 (*.f64 x -841/108))) (*.f64 (/.f64 707281/11664 (+.f64 4/29 (*.f64 x -841/108))) (*.f64 x x)))
49.0%
(+.f64 (pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2) (/.f64 4 29))
62.4%
(+.f64 (cbrt.f64 (*.f64 594823321/1259712 (pow.f64 x 3))) (/.f64 4 29))
99.9%
(+.f64 4/29 (*.f64 841/108 x))
43.6%
4/29
Compiler

Compiled 176 to 148 computations (15.9% saved)

localize5.0ms (0.1%)

Local Accuracy

Found 2 expressions with local accuracy:

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

Compiled 12 to 9 computations (25% saved)

series0.0ms (0%)

Counts
2 → 3
Calls

6 calls:

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

rewrite143.0ms (2.3%)

Algorithm
batch-egg-rewrite
Rules
1540×add-sqr-sqrt
1502×*-un-lft-identity
1426×add-cube-cbrt
1416×add-cbrt-cube
1402×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0720
115216
2183916
Stop Event
node limit
Counts
2 → 45
Calls
Call 1
Inputs
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
Outputs
(((-.f64 (+.f64 1 (*.f64 841/108 x)) 1) (2)) ((pow.f64 (*.f64 841/108 x) 1) (2)) ((pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2) (2)) ((pow.f64 (cbrt.f64 (*.f64 841/108 x)) 3) (2)) ((pow.f64 (*.f64 594823321/1259712 (pow.f64 x 3)) 1/3) (2)) ((sqrt.f64 (*.f64 707281/11664 (*.f64 x x))) (2)) ((log.f64 (pow.f64 (exp.f64 x) 841/108)) (2)) ((cbrt.f64 (*.f64 594823321/1259712 (pow.f64 x 3))) (2)) ((expm1.f64 (log1p.f64 (*.f64 841/108 x))) (2)) ((exp.f64 (log.f64 (*.f64 841/108 x))) (2)) ((exp.f64 (*.f64 (log.f64 (*.f64 841/108 x)) 1)) (2)) ((log1p.f64 (expm1.f64 (*.f64 841/108 x))) (2)))
(((-.f64 (+.f64 1 (fma.f64 841/108 x 4/29)) 1) (2)) ((-.f64 (/.f64 16/841 (+.f64 4/29 (*.f64 -841/108 x))) (/.f64 (*.f64 707281/11664 (*.f64 x x)) (+.f64 4/29 (*.f64 -841/108 x)))) (2)) ((*.f64 (fma.f64 841/108 x 4/29) 1) (2)) ((*.f64 1 (fma.f64 841/108 x 4/29)) (2)) ((*.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) (sqrt.f64 (fma.f64 841/108 x 4/29))) (2)) ((*.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2)) (2)) ((*.f64 (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2) (cbrt.f64 (fma.f64 841/108 x 4/29))) (2)) ((*.f64 (-.f64 16/841 (*.f64 707281/11664 (*.f64 x x))) (/.f64 1 (+.f64 4/29 (*.f64 -841/108 x)))) (2)) ((*.f64 (+.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3))) (/.f64 1 (+.f64 16/841 (-.f64 (*.f64 707281/11664 (*.f64 x x)) (*.f64 29/27 x))))) (2)) ((/.f64 1 (/.f64 (+.f64 4/29 (*.f64 -841/108 x)) (-.f64 16/841 (*.f64 707281/11664 (*.f64 x x))))) (2)) ((/.f64 1 (/.f64 (+.f64 16/841 (-.f64 (*.f64 707281/11664 (*.f64 x x)) (*.f64 29/27 x))) (+.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3))))) (2)) ((/.f64 (-.f64 16/841 (*.f64 707281/11664 (*.f64 x x))) (+.f64 4/29 (*.f64 -841/108 x))) (2)) ((/.f64 (+.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3))) (+.f64 16/841 (-.f64 (*.f64 707281/11664 (*.f64 x x)) (*.f64 29/27 x)))) (2)) ((/.f64 (+.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3))) (+.f64 (*.f64 707281/11664 (*.f64 x x)) (-.f64 16/841 (*.f64 29/27 x)))) (2)) ((/.f64 (-.f64 (*.f64 707281/11664 (*.f64 x x)) 16/841) (-.f64 (*.f64 841/108 x) 4/29)) (2)) ((/.f64 (neg.f64 (-.f64 16/841 (*.f64 707281/11664 (*.f64 x x)))) (neg.f64 (+.f64 4/29 (*.f64 -841/108 x)))) (2)) ((/.f64 (neg.f64 (+.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3)))) (neg.f64 (+.f64 16/841 (-.f64 (*.f64 707281/11664 (*.f64 x x)) (*.f64 29/27 x))))) (2)) ((pow.f64 (fma.f64 841/108 x 4/29) 1) (2)) ((pow.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) 2) (2)) ((pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 3) (2)) ((pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3) 1/3) (2)) ((sqrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 2)) (2)) ((log.f64 (exp.f64 (fma.f64 841/108 x 4/29))) (2)) ((cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3)) (2)) ((expm1.f64 (log1p.f64 (fma.f64 841/108 x 4/29))) (2)) ((exp.f64 (log.f64 (fma.f64 841/108 x 4/29))) (2)) ((exp.f64 (*.f64 (log.f64 (fma.f64 841/108 x 4/29)) 1)) (2)) ((log1p.f64 (expm1.f64 (fma.f64 841/108 x 4/29))) (2)) ((fma.f64 841/108 x 4/29) (2)) ((fma.f64 x 841/108 4/29) (2)) ((fma.f64 1 (*.f64 841/108 x) 4/29) (2)) ((fma.f64 (sqrt.f64 (*.f64 841/108 x)) (sqrt.f64 (*.f64 841/108 x)) 4/29) (2)) ((fma.f64 (pow.f64 (cbrt.f64 (*.f64 841/108 x)) 2) (cbrt.f64 (*.f64 841/108 x)) 4/29) (2)))

simplify60.0ms (1%)

Algorithm
egg-herbie
Rules
1130×associate-/l*
974×associate-*r*
770×associate-*l*
758×associate-+r+
704×times-frac
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01091118
1254882
2887686
33856686
Stop Event
node limit
Counts
48 → 57
Calls
Call 1
Inputs
4/29
(*.f64 841/108 x)
(*.f64 841/108 x)
(-.f64 (+.f64 1 (*.f64 841/108 x)) 1)
(pow.f64 (*.f64 841/108 x) 1)
(pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2)
(pow.f64 (cbrt.f64 (*.f64 841/108 x)) 3)
(pow.f64 (*.f64 594823321/1259712 (pow.f64 x 3)) 1/3)
(sqrt.f64 (*.f64 707281/11664 (*.f64 x x)))
(log.f64 (pow.f64 (exp.f64 x) 841/108))
(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))
(log1p.f64 (expm1.f64 (*.f64 841/108 x)))
(-.f64 (+.f64 1 (fma.f64 841/108 x 4/29)) 1)
(-.f64 (/.f64 16/841 (+.f64 4/29 (*.f64 -841/108 x))) (/.f64 (*.f64 707281/11664 (*.f64 x x)) (+.f64 4/29 (*.f64 -841/108 x))))
(*.f64 (fma.f64 841/108 x 4/29) 1)
(*.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 (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 (-.f64 16/841 (*.f64 707281/11664 (*.f64 x x))) (/.f64 1 (+.f64 4/29 (*.f64 -841/108 x))))
(*.f64 (+.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3))) (/.f64 1 (+.f64 16/841 (-.f64 (*.f64 707281/11664 (*.f64 x x)) (*.f64 29/27 x)))))
(/.f64 1 (/.f64 (+.f64 4/29 (*.f64 -841/108 x)) (-.f64 16/841 (*.f64 707281/11664 (*.f64 x x)))))
(/.f64 1 (/.f64 (+.f64 16/841 (-.f64 (*.f64 707281/11664 (*.f64 x x)) (*.f64 29/27 x))) (+.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3)))))
(/.f64 (-.f64 16/841 (*.f64 707281/11664 (*.f64 x x))) (+.f64 4/29 (*.f64 -841/108 x)))
(/.f64 (+.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3))) (+.f64 16/841 (-.f64 (*.f64 707281/11664 (*.f64 x x)) (*.f64 29/27 x))))
(/.f64 (+.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3))) (+.f64 (*.f64 707281/11664 (*.f64 x x)) (-.f64 16/841 (*.f64 29/27 x))))
(/.f64 (-.f64 (*.f64 707281/11664 (*.f64 x x)) 16/841) (-.f64 (*.f64 841/108 x) 4/29))
(/.f64 (neg.f64 (-.f64 16/841 (*.f64 707281/11664 (*.f64 x x)))) (neg.f64 (+.f64 4/29 (*.f64 -841/108 x))))
(/.f64 (neg.f64 (+.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3)))) (neg.f64 (+.f64 16/841 (-.f64 (*.f64 707281/11664 (*.f64 x x)) (*.f64 29/27 x)))))
(pow.f64 (fma.f64 841/108 x 4/29) 1)
(pow.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) 2)
(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)
(sqrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 2))
(log.f64 (exp.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 1 (*.f64 841/108 x) 4/29)
(fma.f64 (sqrt.f64 (*.f64 841/108 x)) (sqrt.f64 (*.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)
Outputs
4/29
(*.f64 841/108 x)
(*.f64 841/108 x)
(-.f64 (+.f64 1 (*.f64 841/108 x)) 1)
(*.f64 841/108 x)
(pow.f64 (*.f64 841/108 x) 1)
(*.f64 841/108 x)
(pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2)
(*.f64 841/108 x)
(pow.f64 (cbrt.f64 (*.f64 841/108 x)) 3)
(*.f64 841/108 x)
(pow.f64 (*.f64 594823321/1259712 (pow.f64 x 3)) 1/3)
(cbrt.f64 (*.f64 594823321/1259712 (pow.f64 x 3)))
(sqrt.f64 (*.f64 707281/11664 (*.f64 x x)))
(sqrt.f64 (*.f64 x (*.f64 x 707281/11664)))
(log.f64 (pow.f64 (exp.f64 x) 841/108))
(*.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 841/108 x)) 1))
(*.f64 841/108 x)
(log1p.f64 (expm1.f64 (*.f64 841/108 x)))
(*.f64 841/108 x)
(-.f64 (+.f64 1 (fma.f64 841/108 x 4/29)) 1)
(+.f64 1 (-.f64 (fma.f64 841/108 x 4/29) 1))
(+.f64 (fma.f64 841/108 x 4/29) 0)
(fma.f64 841/108 x 4/29)
(-.f64 (/.f64 16/841 (+.f64 4/29 (*.f64 -841/108 x))) (/.f64 (*.f64 707281/11664 (*.f64 x x)) (+.f64 4/29 (*.f64 -841/108 x))))
(/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (+.f64 4/29 (*.f64 x -841/108)))
(/.f64 (-.f64 16/841 (*.f64 707281/11664 (*.f64 x x))) (fma.f64 x -841/108 4/29))
(/.f64 (fma.f64 (*.f64 x -707281/11664) x 16/841) (fma.f64 x -841/108 4/29))
(/.f64 (fma.f64 707281/11664 (*.f64 x x) -16/841) (fma.f64 841/108 x -4/29))
(*.f64 (fma.f64 841/108 x 4/29) 1)
(+.f64 1 (-.f64 (fma.f64 841/108 x 4/29) 1))
(+.f64 (fma.f64 841/108 x 4/29) 0)
(fma.f64 841/108 x 4/29)
(*.f64 1 (fma.f64 841/108 x 4/29))
(+.f64 1 (-.f64 (fma.f64 841/108 x 4/29) 1))
(+.f64 (fma.f64 841/108 x 4/29) 0)
(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 1 (-.f64 (fma.f64 841/108 x 4/29) 1))
(+.f64 (fma.f64 841/108 x 4/29) 0)
(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 1 (-.f64 (fma.f64 841/108 x 4/29) 1))
(+.f64 (fma.f64 841/108 x 4/29) 0)
(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)))
(+.f64 1 (-.f64 (fma.f64 841/108 x 4/29) 1))
(+.f64 (fma.f64 841/108 x 4/29) 0)
(fma.f64 841/108 x 4/29)
(*.f64 (-.f64 16/841 (*.f64 707281/11664 (*.f64 x x))) (/.f64 1 (+.f64 4/29 (*.f64 -841/108 x))))
(/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (+.f64 4/29 (*.f64 x -841/108)))
(/.f64 (-.f64 16/841 (*.f64 707281/11664 (*.f64 x x))) (fma.f64 x -841/108 4/29))
(/.f64 (fma.f64 (*.f64 x -707281/11664) x 16/841) (fma.f64 x -841/108 4/29))
(/.f64 (fma.f64 707281/11664 (*.f64 x x) -16/841) (fma.f64 841/108 x -4/29))
(*.f64 (+.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3))) (/.f64 1 (+.f64 16/841 (-.f64 (*.f64 707281/11664 (*.f64 x x)) (*.f64 29/27 x)))))
(/.f64 (*.f64 (+.f64 (*.f64 594823321/1259712 (pow.f64 x 3)) 64/24389) 1) (+.f64 16/841 (+.f64 (*.f64 707281/11664 (*.f64 x x)) (*.f64 -29/27 x))))
(/.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 (+.f64 4/29 (*.f64 -841/108 x)) (-.f64 16/841 (*.f64 707281/11664 (*.f64 x x)))))
(/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (+.f64 4/29 (*.f64 x -841/108)))
(/.f64 (-.f64 16/841 (*.f64 707281/11664 (*.f64 x x))) (fma.f64 x -841/108 4/29))
(/.f64 (fma.f64 (*.f64 x -707281/11664) x 16/841) (fma.f64 x -841/108 4/29))
(/.f64 (fma.f64 707281/11664 (*.f64 x x) -16/841) (fma.f64 841/108 x -4/29))
(/.f64 1 (/.f64 (+.f64 16/841 (-.f64 (*.f64 707281/11664 (*.f64 x x)) (*.f64 29/27 x))) (+.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3)))))
(/.f64 (*.f64 (+.f64 (*.f64 594823321/1259712 (pow.f64 x 3)) 64/24389) 1) (+.f64 16/841 (+.f64 (*.f64 707281/11664 (*.f64 x x)) (*.f64 -29/27 x))))
(/.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 (-.f64 16/841 (*.f64 707281/11664 (*.f64 x x))) (+.f64 4/29 (*.f64 -841/108 x)))
(/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (+.f64 4/29 (*.f64 x -841/108)))
(/.f64 (-.f64 16/841 (*.f64 707281/11664 (*.f64 x x))) (fma.f64 x -841/108 4/29))
(/.f64 (fma.f64 (*.f64 x -707281/11664) x 16/841) (fma.f64 x -841/108 4/29))
(/.f64 (fma.f64 707281/11664 (*.f64 x x) -16/841) (fma.f64 841/108 x -4/29))
(/.f64 (+.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3))) (+.f64 16/841 (-.f64 (*.f64 707281/11664 (*.f64 x x)) (*.f64 29/27 x))))
(/.f64 (*.f64 (+.f64 (*.f64 594823321/1259712 (pow.f64 x 3)) 64/24389) 1) (+.f64 16/841 (+.f64 (*.f64 707281/11664 (*.f64 x x)) (*.f64 -29/27 x))))
(/.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 (+.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3))) (+.f64 (*.f64 707281/11664 (*.f64 x x)) (-.f64 16/841 (*.f64 29/27 x))))
(/.f64 (*.f64 (+.f64 (*.f64 594823321/1259712 (pow.f64 x 3)) 64/24389) 1) (+.f64 16/841 (+.f64 (*.f64 707281/11664 (*.f64 x x)) (*.f64 -29/27 x))))
(/.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 (-.f64 (*.f64 707281/11664 (*.f64 x x)) 16/841) (-.f64 (*.f64 841/108 x) 4/29))
(/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (+.f64 4/29 (*.f64 x -841/108)))
(/.f64 (-.f64 16/841 (*.f64 707281/11664 (*.f64 x x))) (fma.f64 x -841/108 4/29))
(/.f64 (fma.f64 (*.f64 x -707281/11664) x 16/841) (fma.f64 x -841/108 4/29))
(/.f64 (fma.f64 707281/11664 (*.f64 x x) -16/841) (fma.f64 841/108 x -4/29))
(/.f64 (neg.f64 (-.f64 16/841 (*.f64 707281/11664 (*.f64 x x)))) (neg.f64 (+.f64 4/29 (*.f64 -841/108 x))))
(/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (+.f64 4/29 (*.f64 x -841/108)))
(/.f64 (-.f64 16/841 (*.f64 707281/11664 (*.f64 x x))) (fma.f64 x -841/108 4/29))
(/.f64 (fma.f64 (*.f64 x -707281/11664) x 16/841) (fma.f64 x -841/108 4/29))
(/.f64 (fma.f64 707281/11664 (*.f64 x x) -16/841) (fma.f64 841/108 x -4/29))
(/.f64 (neg.f64 (+.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3)))) (neg.f64 (+.f64 16/841 (-.f64 (*.f64 707281/11664 (*.f64 x x)) (*.f64 29/27 x)))))
(/.f64 (*.f64 (+.f64 (*.f64 594823321/1259712 (pow.f64 x 3)) 64/24389) 1) (+.f64 16/841 (+.f64 (*.f64 707281/11664 (*.f64 x x)) (*.f64 -29/27 x))))
(/.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 (fma.f64 841/108 x 4/29) 1)
(+.f64 1 (-.f64 (fma.f64 841/108 x 4/29) 1))
(+.f64 (fma.f64 841/108 x 4/29) 0)
(fma.f64 841/108 x 4/29)
(pow.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) 2)
(+.f64 1 (-.f64 (fma.f64 841/108 x 4/29) 1))
(+.f64 (fma.f64 841/108 x 4/29) 0)
(fma.f64 841/108 x 4/29)
(pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 3)
(+.f64 1 (-.f64 (fma.f64 841/108 x 4/29) 1))
(+.f64 (fma.f64 841/108 x 4/29) 0)
(fma.f64 841/108 x 4/29)
(pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3) 1/3)
(+.f64 1 (-.f64 (fma.f64 841/108 x 4/29) 1))
(+.f64 (fma.f64 841/108 x 4/29) 0)
(fma.f64 841/108 x 4/29)
(sqrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 2))
(+.f64 1 (-.f64 (fma.f64 841/108 x 4/29) 1))
(+.f64 (fma.f64 841/108 x 4/29) 0)
(fma.f64 841/108 x 4/29)
(log.f64 (exp.f64 (fma.f64 841/108 x 4/29)))
(+.f64 1 (-.f64 (fma.f64 841/108 x 4/29) 1))
(+.f64 (fma.f64 841/108 x 4/29) 0)
(fma.f64 841/108 x 4/29)
(cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3))
(+.f64 1 (-.f64 (fma.f64 841/108 x 4/29) 1))
(+.f64 (fma.f64 841/108 x 4/29) 0)
(fma.f64 841/108 x 4/29)
(expm1.f64 (log1p.f64 (fma.f64 841/108 x 4/29)))
(+.f64 1 (-.f64 (fma.f64 841/108 x 4/29) 1))
(+.f64 (fma.f64 841/108 x 4/29) 0)
(fma.f64 841/108 x 4/29)
(exp.f64 (log.f64 (fma.f64 841/108 x 4/29)))
(+.f64 1 (-.f64 (fma.f64 841/108 x 4/29) 1))
(+.f64 (fma.f64 841/108 x 4/29) 0)
(fma.f64 841/108 x 4/29)
(exp.f64 (*.f64 (log.f64 (fma.f64 841/108 x 4/29)) 1))
(+.f64 1 (-.f64 (fma.f64 841/108 x 4/29) 1))
(+.f64 (fma.f64 841/108 x 4/29) 0)
(fma.f64 841/108 x 4/29)
(log1p.f64 (expm1.f64 (fma.f64 841/108 x 4/29)))
(+.f64 1 (-.f64 (fma.f64 841/108 x 4/29) 1))
(+.f64 (fma.f64 841/108 x 4/29) 0)
(fma.f64 841/108 x 4/29)
(fma.f64 841/108 x 4/29)
(+.f64 1 (-.f64 (fma.f64 841/108 x 4/29) 1))
(+.f64 (fma.f64 841/108 x 4/29) 0)
(fma.f64 x 841/108 4/29)
(+.f64 1 (-.f64 (fma.f64 841/108 x 4/29) 1))
(+.f64 (fma.f64 841/108 x 4/29) 0)
(fma.f64 841/108 x 4/29)
(fma.f64 1 (*.f64 841/108 x) 4/29)
(+.f64 1 (-.f64 (fma.f64 841/108 x 4/29) 1))
(+.f64 (fma.f64 841/108 x 4/29) 0)
(fma.f64 841/108 x 4/29)
(fma.f64 (sqrt.f64 (*.f64 841/108 x)) (sqrt.f64 (*.f64 841/108 x)) 4/29)
(+.f64 1 (-.f64 (fma.f64 841/108 x 4/29) 1))
(+.f64 (fma.f64 841/108 x 4/29) 0)
(fma.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)
(+.f64 1 (-.f64 (fma.f64 841/108 x 4/29) 1))
(+.f64 (fma.f64 841/108 x 4/29) 0)
(fma.f64 841/108 x 4/29)

localize16.0ms (0.3%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
100.0%
(-.f64 4/29 (*.f64 841/108 x))
99.8%
(*.f64 841/108 x)
99.7%
(*.f64 -707281/11664 (*.f64 x x))
72.5%
(/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (-.f64 4/29 (*.f64 841/108 x)))
Compiler

Compiled 42 to 27 computations (35.7% saved)

series2.0ms (0%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@0
(/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (-.f64 4/29 (*.f64 841/108 x)))
0.0ms
x
@inf
(/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (-.f64 4/29 (*.f64 841/108 x)))
0.0ms
x
@inf
(*.f64 -707281/11664 (*.f64 x x))
0.0ms
x
@-inf
(/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (-.f64 4/29 (*.f64 841/108 x)))
0.0ms
x
@0
(*.f64 -707281/11664 (*.f64 x x))

rewrite82.0ms (1.3%)

Algorithm
batch-egg-rewrite
Rules
1722×associate-*r/
1422×associate-*l/
954×associate-/r*
798×associate-/l*
294×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01363
129559
2381359
Stop Event
node limit
Counts
3 → 116
Calls
Call 1
Inputs
(/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (-.f64 4/29 (*.f64 841/108 x)))
(*.f64 -707281/11664 (*.f64 x x))
(-.f64 4/29 (*.f64 841/108 x))
Outputs
(((-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108))))) 1) (2)) ((*.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (/.f64 -1 (-.f64 -4/29 (*.f64 x -841/108)))) (2)) ((*.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108))) 1) (2)) ((*.f64 1 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108)))) (2)) ((*.f64 (sqrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) (*.f64 (sqrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) (/.f64 -1 (-.f64 -4/29 (*.f64 x -841/108))))) (2)) ((*.f64 (sqrt.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108)))) (sqrt.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108))))) (2)) ((*.f64 (pow.f64 (cbrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) 2) (*.f64 (cbrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) (/.f64 -1 (-.f64 -4/29 (*.f64 x -841/108))))) (2)) ((*.f64 (cbrt.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108)))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108)))) 2)) (2)) ((*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108)))) 2) (cbrt.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108))))) (2)) ((*.f64 (/.f64 -1 (-.f64 -4/29 (*.f64 x -841/108))) (fma.f64 -707281/11664 (*.f64 x x) 16/841)) (2)) ((*.f64 (neg.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) (/.f64 1 (-.f64 -4/29 (*.f64 x -841/108)))) (2)) ((*.f64 (/.f64 1 (sqrt.f64 (+.f64 4/29 (*.f64 x -841/108)))) (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (sqrt.f64 (+.f64 4/29 (*.f64 x -841/108))))) (2)) ((*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 4/29 (*.f64 x -841/108))) 2)) (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (cbrt.f64 (+.f64 4/29 (*.f64 x -841/108))))) (2)) ((*.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (-.f64 16/841 (*.f64 (*.f64 x x) 707281/11664))) (-.f64 4/29 (*.f64 x -841/108))) (2)) ((*.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (-.f64 64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712))) (+.f64 16/841 (+.f64 (*.f64 (*.f64 x x) 707281/11664) (*.f64 29/27 x)))) (2)) ((*.f64 (/.f64 (sqrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) 1) (/.f64 (sqrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) (+.f64 4/29 (*.f64 x -841/108)))) (2)) ((*.f64 (/.f64 (sqrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) (pow.f64 (cbrt.f64 (+.f64 4/29 (*.f64 x -841/108))) 2)) (/.f64 (sqrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) (cbrt.f64 (+.f64 4/29 (*.f64 x -841/108))))) (2)) ((*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) (+.f64 4/29 (*.f64 x -841/108)))) (2)) ((*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) 2) (sqrt.f64 (+.f64 4/29 (*.f64 x -841/108)))) (/.f64 (cbrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) (sqrt.f64 (+.f64 4/29 (*.f64 x -841/108))))) (2)) ((*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) 2) (pow.f64 (cbrt.f64 (+.f64 4/29 (*.f64 x -841/108))) 2)) (cbrt.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108))))) (2)) ((pow.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108))) 1) (2)) ((pow.f64 (sqrt.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108)))) 2) (2)) ((pow.f64 (cbrt.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108)))) 3) (2)) ((pow.f64 (pow.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108))) 3) 1/3) (2)) ((pow.f64 (/.f64 (+.f64 4/29 (*.f64 x -841/108)) (fma.f64 -707281/11664 (*.f64 x x) 16/841)) -1) (2)) ((neg.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (-.f64 -4/29 (*.f64 x -841/108)))) (2)) ((sqrt.f64 (pow.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108))) 2)) (2)) ((log.f64 (exp.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108))))) (2)) ((log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108)))))) (2)) ((cbrt.f64 (pow.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108))) 3)) (2)) ((expm1.f64 (log1p.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108))))) (2)) ((exp.f64 (log.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108))))) (2)) ((exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108)))) 1)) (2)) ((log1p.f64 (expm1.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108))))) (2)))
(((-.f64 (exp.f64 (log1p.f64 (*.f64 -707281/11664 (*.f64 x x)))) 1) (2)) ((pow.f64 (*.f64 -707281/11664 (*.f64 x x)) 1) (2)) ((pow.f64 (*.f64 x (sqrt.f64 -707281/11664)) 2) (2)) ((pow.f64 (cbrt.f64 (*.f64 -707281/11664 (*.f64 x x))) 3) (2)) ((pow.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -353814783205469041/1586874322944) 1/3) (2)) ((sqrt.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896)) (2)) ((log.f64 (pow.f64 (exp.f64 (*.f64 x x)) -707281/11664)) (2)) ((log.f64 (+.f64 1 (expm1.f64 (*.f64 -707281/11664 (*.f64 x x))))) (2)) ((cbrt.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -353814783205469041/1586874322944)) (2)) ((expm1.f64 (log1p.f64 (*.f64 -707281/11664 (*.f64 x x)))) (2)) ((exp.f64 (log.f64 (*.f64 -707281/11664 (*.f64 x x)))) (2)) ((exp.f64 (*.f64 (log.f64 (*.f64 -707281/11664 (*.f64 x x))) 1)) (2)) ((log1p.f64 (expm1.f64 (*.f64 -707281/11664 (*.f64 x x)))) (2)))
(((+.f64 4/29 (*.f64 x -841/108)) (2)) ((+.f64 4/29 (*.f64 (*.f64 x -841/108) 1)) (2)) ((+.f64 (*.f64 x -841/108) 4/29) (2)) ((+.f64 (*.f64 (*.f64 x -841/108) 1) 4/29) (2)) ((+.f64 (-.f64 4/29 (exp.f64 (log1p.f64 (*.f64 x 841/108)))) 1) (2)) ((*.f64 (+.f64 4/29 (*.f64 x -841/108)) 1) (2)) ((*.f64 1 (+.f64 4/29 (*.f64 x -841/108))) (2)) ((*.f64 (sqrt.f64 (+.f64 4/29 (*.f64 x -841/108))) (sqrt.f64 (+.f64 4/29 (*.f64 x -841/108)))) (2)) ((*.f64 (cbrt.f64 (+.f64 4/29 (*.f64 x -841/108))) (pow.f64 (cbrt.f64 (+.f64 4/29 (*.f64 x -841/108))) 2)) (2)) ((*.f64 (pow.f64 (cbrt.f64 (+.f64 4/29 (*.f64 x -841/108))) 2) (cbrt.f64 (+.f64 4/29 (*.f64 x -841/108)))) (2)) ((*.f64 (-.f64 16/841 (*.f64 (*.f64 x x) 707281/11664)) (/.f64 1 (-.f64 4/29 (*.f64 x -841/108)))) (2)) ((*.f64 (-.f64 64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712)) (/.f64 1 (+.f64 16/841 (+.f64 (*.f64 (*.f64 x x) 707281/11664) (*.f64 29/27 x))))) (2)) ((/.f64 (+.f64 4/29 (*.f64 x -841/108)) 1) (2)) ((/.f64 1 (/.f64 -1 (-.f64 -4/29 (*.f64 x -841/108)))) (2)) ((/.f64 (sqrt.f64 (+.f64 4/29 (*.f64 x -841/108))) (/.f64 1 (sqrt.f64 (+.f64 4/29 (*.f64 x -841/108))))) (2)) ((/.f64 (cbrt.f64 (+.f64 4/29 (*.f64 x -841/108))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 4/29 (*.f64 x -841/108))) 2))) (2)) ((/.f64 (pow.f64 (cbrt.f64 (+.f64 4/29 (*.f64 x -841/108))) 2) (/.f64 1 (cbrt.f64 (+.f64 4/29 (*.f64 x -841/108))))) (2)) ((/.f64 (-.f64 16/841 (*.f64 (*.f64 x x) 707281/11664)) (-.f64 4/29 (*.f64 x -841/108))) (2)) ((/.f64 (-.f64 16/841 (*.f64 (*.f64 x x) 707281/11664)) (/.f64 1 (/.f64 1 (-.f64 4/29 (*.f64 x -841/108))))) (2)) ((/.f64 (-.f64 64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712)) (+.f64 16/841 (+.f64 (*.f64 (*.f64 x x) 707281/11664) (*.f64 29/27 x)))) (2)) ((/.f64 (-.f64 64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712)) (/.f64 1 (/.f64 1 (+.f64 16/841 (+.f64 (*.f64 (*.f64 x x) 707281/11664) (*.f64 29/27 x)))))) (2)) ((/.f64 (sqrt.f64 (-.f64 16/841 (*.f64 (*.f64 x x) 707281/11664))) (/.f64 (-.f64 4/29 (*.f64 x -841/108)) (sqrt.f64 (-.f64 16/841 (*.f64 (*.f64 x x) 707281/11664))))) (2)) ((/.f64 (sqrt.f64 (-.f64 64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712))) (/.f64 (+.f64 16/841 (+.f64 (*.f64 (*.f64 x x) 707281/11664) (*.f64 29/27 x))) (sqrt.f64 (-.f64 64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712))))) (2)) ((/.f64 (*.f64 (cbrt.f64 (-.f64 16/841 (*.f64 (*.f64 x x) 707281/11664))) (cbrt.f64 (-.f64 16/841 (*.f64 (*.f64 x x) 707281/11664)))) (/.f64 (-.f64 4/29 (*.f64 x -841/108)) (cbrt.f64 (-.f64 16/841 (*.f64 (*.f64 x x) 707281/11664))))) (2)) ((/.f64 (*.f64 (cbrt.f64 (-.f64 64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712))) (cbrt.f64 (-.f64 64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712)))) (/.f64 (+.f64 16/841 (+.f64 (*.f64 (*.f64 x x) 707281/11664) (*.f64 29/27 x))) (cbrt.f64 (-.f64 64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712))))) (2)) ((/.f64 (neg.f64 (-.f64 16/841 (*.f64 (*.f64 x x) 707281/11664))) (neg.f64 (-.f64 4/29 (*.f64 x -841/108)))) (2)) ((/.f64 (neg.f64 (-.f64 64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712))) (neg.f64 (+.f64 16/841 (+.f64 (*.f64 (*.f64 x x) 707281/11664) (*.f64 29/27 x))))) (2)) ((/.f64 (-.f64 16/841 (*.f64 (*.f64 x -841/108) (*.f64 x -841/108))) (-.f64 4/29 (*.f64 x -841/108))) (2)) ((/.f64 (+.f64 64/24389 (pow.f64 (*.f64 x -841/108) 3)) (+.f64 16/841 (-.f64 (*.f64 (*.f64 x -841/108) (*.f64 x -841/108)) (*.f64 4/29 (*.f64 x -841/108))))) (2)) ((/.f64 (*.f64 1 (neg.f64 (-.f64 16/841 (*.f64 (*.f64 x x) 707281/11664)))) (neg.f64 (-.f64 4/29 (*.f64 x -841/108)))) (2)) ((/.f64 (*.f64 1 (neg.f64 (-.f64 64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712)))) (neg.f64 (+.f64 16/841 (+.f64 (*.f64 (*.f64 x x) 707281/11664) (*.f64 29/27 x))))) (2)) ((/.f64 (*.f64 1 (-.f64 16/841 (*.f64 (*.f64 x -841/108) (*.f64 x -841/108)))) (-.f64 4/29 (*.f64 x -841/108))) (2)) ((/.f64 (*.f64 1 (+.f64 64/24389 (pow.f64 (*.f64 x -841/108) 3))) (+.f64 16/841 (-.f64 (*.f64 (*.f64 x -841/108) (*.f64 x -841/108)) (*.f64 4/29 (*.f64 x -841/108))))) (2)) ((/.f64 (*.f64 (sqrt.f64 (+.f64 4/29 (*.f64 x -841/108))) (sqrt.f64 (-.f64 16/841 (*.f64 (*.f64 x x) 707281/11664)))) (sqrt.f64 (-.f64 4/29 (*.f64 x -841/108)))) (2)) ((/.f64 (*.f64 (sqrt.f64 (+.f64 4/29 (*.f64 x -841/108))) (sqrt.f64 (-.f64 64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712)))) (sqrt.f64 (+.f64 16/841 (+.f64 (*.f64 (*.f64 x x) 707281/11664) (*.f64 29/27 x))))) (2)) ((/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 4/29 (*.f64 x -841/108))) 2) (cbrt.f64 (-.f64 16/841 (*.f64 (*.f64 x x) 707281/11664)))) (cbrt.f64 (-.f64 4/29 (*.f64 x -841/108)))) (2)) ((/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 4/29 (*.f64 x -841/108))) 2) (cbrt.f64 (-.f64 64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712)))) (cbrt.f64 (+.f64 16/841 (+.f64 (*.f64 (*.f64 x x) 707281/11664) (*.f64 29/27 x))))) (2)) ((/.f64 (*.f64 (-.f64 16/841 (*.f64 (*.f64 x x) 707281/11664)) 1) (-.f64 4/29 (*.f64 x -841/108))) (2)) ((/.f64 (*.f64 (-.f64 64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712)) 1) (+.f64 16/841 (+.f64 (*.f64 (*.f64 x x) 707281/11664) (*.f64 29/27 x)))) (2)) ((/.f64 (*.f64 (neg.f64 (-.f64 16/841 (*.f64 (*.f64 x x) 707281/11664))) 1) (neg.f64 (-.f64 4/29 (*.f64 x -841/108)))) (2)) ((/.f64 (*.f64 (neg.f64 (-.f64 64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712))) 1) (neg.f64 (+.f64 16/841 (+.f64 (*.f64 (*.f64 x x) 707281/11664) (*.f64 29/27 x))))) (2)) ((/.f64 (*.f64 (-.f64 16/841 (*.f64 (*.f64 x -841/108) (*.f64 x -841/108))) 1) (-.f64 4/29 (*.f64 x -841/108))) (2)) ((/.f64 (*.f64 (+.f64 64/24389 (pow.f64 (*.f64 x -841/108) 3)) 1) (+.f64 16/841 (-.f64 (*.f64 (*.f64 x -841/108) (*.f64 x -841/108)) (*.f64 4/29 (*.f64 x -841/108))))) (2)) ((/.f64 (*.f64 (sqrt.f64 (-.f64 16/841 (*.f64 (*.f64 x x) 707281/11664))) (sqrt.f64 (+.f64 4/29 (*.f64 x -841/108)))) (sqrt.f64 (-.f64 4/29 (*.f64 x -841/108)))) (2)) ((/.f64 (*.f64 (sqrt.f64 (-.f64 64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712))) (sqrt.f64 (+.f64 4/29 (*.f64 x -841/108)))) (sqrt.f64 (+.f64 16/841 (+.f64 (*.f64 (*.f64 x x) 707281/11664) (*.f64 29/27 x))))) (2)) ((/.f64 (*.f64 (cbrt.f64 (-.f64 16/841 (*.f64 (*.f64 x x) 707281/11664))) (pow.f64 (cbrt.f64 (+.f64 4/29 (*.f64 x -841/108))) 2)) (cbrt.f64 (-.f64 4/29 (*.f64 x -841/108)))) (2)) ((/.f64 (*.f64 (cbrt.f64 (-.f64 64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712))) (pow.f64 (cbrt.f64 (+.f64 4/29 (*.f64 x -841/108))) 2)) (cbrt.f64 (+.f64 16/841 (+.f64 (*.f64 (*.f64 x x) 707281/11664) (*.f64 29/27 x))))) (2)) ((/.f64 (*.f64 (-.f64 256/707281 (*.f64 (*.f64 (*.f64 x x) 707281/11664) (*.f64 (*.f64 x x) 707281/11664))) (/.f64 1 (-.f64 4/29 (*.f64 x -841/108)))) (+.f64 16/841 (*.f64 (*.f64 x x) 707281/11664))) (2)) ((/.f64 (*.f64 (-.f64 4096/594823321 (pow.f64 (*.f64 (*.f64 x x) 707281/11664) 3)) (/.f64 1 (-.f64 4/29 (*.f64 x -841/108)))) (+.f64 256/707281 (+.f64 (*.f64 (*.f64 (*.f64 x x) 707281/11664) (*.f64 (*.f64 x x) 707281/11664)) (*.f64 16/841 (*.f64 (*.f64 x x) 707281/11664))))) (2)) ((/.f64 (*.f64 (-.f64 4096/594823321 (*.f64 (*.f64 (pow.f64 x 3) 594823321/1259712) (*.f64 (pow.f64 x 3) 594823321/1259712))) (/.f64 1 (+.f64 16/841 (+.f64 (*.f64 (*.f64 x x) 707281/11664) (*.f64 29/27 x))))) (+.f64 64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712))) (2)) ((/.f64 (*.f64 (-.f64 262144/14507145975869 (pow.f64 (*.f64 (pow.f64 x 3) 594823321/1259712) 3)) (/.f64 1 (+.f64 16/841 (+.f64 (*.f64 (*.f64 x x) 707281/11664) (*.f64 29/27 x))))) (+.f64 4096/594823321 (+.f64 (*.f64 (*.f64 (pow.f64 x 3) 594823321/1259712) (*.f64 (pow.f64 x 3) 594823321/1259712)) (*.f64 64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712))))) (2)) ((/.f64 (/.f64 (-.f64 16/841 (*.f64 (*.f64 x x) 707281/11664)) 1) (-.f64 4/29 (*.f64 x -841/108))) (2)) ((/.f64 (/.f64 (-.f64 16/841 (*.f64 (*.f64 x x) 707281/11664)) (sqrt.f64 (-.f64 4/29 (*.f64 x -841/108)))) (sqrt.f64 (-.f64 4/29 (*.f64 x -841/108)))) (2)) ((/.f64 (/.f64 (-.f64 16/841 (*.f64 (*.f64 x x) 707281/11664)) (*.f64 (cbrt.f64 (-.f64 4/29 (*.f64 x -841/108))) (cbrt.f64 (-.f64 4/29 (*.f64 x -841/108))))) (cbrt.f64 (-.f64 4/29 (*.f64 x 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(pow.f64 (+.f64 4/29 (*.f64 x -841/108)) 2)) (2)) ((log.f64 (exp.f64 (+.f64 4/29 (*.f64 x -841/108)))) (2)) ((log.f64 (+.f64 1 (expm1.f64 (+.f64 4/29 (*.f64 x -841/108))))) (2)) ((cbrt.f64 (pow.f64 (+.f64 4/29 (*.f64 x -841/108)) 3)) (2)) ((expm1.f64 (log.f64 (+.f64 33/29 (*.f64 x -841/108)))) (2)) ((exp.f64 (log.f64 (+.f64 4/29 (*.f64 x -841/108)))) (2)) ((exp.f64 (*.f64 (log.f64 (+.f64 4/29 (*.f64 x -841/108))) 1)) (2)) ((log1p.f64 (expm1.f64 (+.f64 4/29 (*.f64 x -841/108)))) (2)))

simplify80.0ms (1.3%)

Algorithm
egg-herbie
Rules
1630×associate-*l/
1044×distribute-lft-in
1002×distribute-rgt-in
930×associate-/r/
730×associate-/l/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
03104394
17983912
234153912
Stop Event
node limit
Counts
152 → 178
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)
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(*.f64 841/108 x)
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(*.f64 -707281/11664 (pow.f64 x 2))
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(*.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 (/.f64 (-.f64 64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712)) 1) (+.f64 16/841 (+.f64 (*.f64 (*.f64 x x) 707281/11664) (*.f64 29/27 x))))
(/.f64 (/.f64 (-.f64 64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712)) (sqrt.f64 (+.f64 16/841 (+.f64 (*.f64 (*.f64 x x) 707281/11664) (*.f64 29/27 x))))) (sqrt.f64 (+.f64 16/841 (+.f64 (*.f64 (*.f64 x x) 707281/11664) (*.f64 29/27 x)))))
(/.f64 (/.f64 (-.f64 64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712)) (*.f64 (cbrt.f64 (+.f64 16/841 (+.f64 (*.f64 (*.f64 x x) 707281/11664) (*.f64 29/27 x)))) (cbrt.f64 (+.f64 16/841 (+.f64 (*.f64 (*.f64 x x) 707281/11664) (*.f64 29/27 x)))))) (cbrt.f64 (+.f64 16/841 (+.f64 (*.f64 (*.f64 x x) 707281/11664) (*.f64 29/27 x)))))
(pow.f64 (+.f64 4/29 (*.f64 x -841/108)) 1)
(pow.f64 (sqrt.f64 (+.f64 4/29 (*.f64 x -841/108))) 2)
(pow.f64 (cbrt.f64 (+.f64 4/29 (*.f64 x -841/108))) 3)
(pow.f64 (pow.f64 (+.f64 4/29 (*.f64 x -841/108)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 4/29 (*.f64 x -841/108)) 2))
(log.f64 (exp.f64 (+.f64 4/29 (*.f64 x -841/108))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 4/29 (*.f64 x -841/108)))))
(cbrt.f64 (pow.f64 (+.f64 4/29 (*.f64 x -841/108)) 3))
(expm1.f64 (log.f64 (+.f64 33/29 (*.f64 x -841/108))))
(exp.f64 (log.f64 (+.f64 4/29 (*.f64 x -841/108))))
(exp.f64 (*.f64 (log.f64 (+.f64 4/29 (*.f64 x -841/108))) 1))
(log1p.f64 (expm1.f64 (+.f64 4/29 (*.f64 x -841/108))))
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 -707281/11664 (*.f64 x x))
(*.f64 x (*.f64 x -707281/11664))
(*.f64 -707281/11664 (pow.f64 x 2))
(*.f64 -707281/11664 (*.f64 x x))
(*.f64 x (*.f64 x -707281/11664))
(*.f64 -707281/11664 (pow.f64 x 2))
(*.f64 -707281/11664 (*.f64 x x))
(*.f64 x (*.f64 x -707281/11664))
(*.f64 -707281/11664 (pow.f64 x 2))
(*.f64 -707281/11664 (*.f64 x x))
(*.f64 x (*.f64 x -707281/11664))
(*.f64 -707281/11664 (pow.f64 x 2))
(*.f64 -707281/11664 (*.f64 x x))
(*.f64 x (*.f64 x -707281/11664))
(*.f64 -707281/11664 (pow.f64 x 2))
(*.f64 -707281/11664 (*.f64 x x))
(*.f64 x (*.f64 x -707281/11664))
(*.f64 -707281/11664 (pow.f64 x 2))
(*.f64 -707281/11664 (*.f64 x x))
(*.f64 x (*.f64 x -707281/11664))
(*.f64 -707281/11664 (pow.f64 x 2))
(*.f64 -707281/11664 (*.f64 x x))
(*.f64 x (*.f64 x -707281/11664))
(*.f64 -707281/11664 (pow.f64 x 2))
(*.f64 -707281/11664 (*.f64 x x))
(*.f64 x (*.f64 x -707281/11664))
(*.f64 -707281/11664 (pow.f64 x 2))
(*.f64 -707281/11664 (*.f64 x x))
(*.f64 x (*.f64 x -707281/11664))
(*.f64 -707281/11664 (pow.f64 x 2))
(*.f64 -707281/11664 (*.f64 x x))
(*.f64 x (*.f64 x -707281/11664))
(*.f64 -707281/11664 (pow.f64 x 2))
(*.f64 -707281/11664 (*.f64 x x))
(*.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 (exp.f64 (log1p.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108))))) 1)
(/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (fma.f64 x -841/108 4/29))
(*.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (/.f64 -1 (-.f64 -4/29 (*.f64 x -841/108))))
(/.f64 (neg.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) (-.f64 -4/29 (*.f64 x -841/108)))
(/.f64 (+.f64 -16/841 (*.f64 x (*.f64 x 707281/11664))) (+.f64 -4/29 (*.f64 841/108 x)))
(/.f64 (+.f64 (*.f64 x (*.f64 x 707281/11664)) -16/841) (+.f64 -4/29 (*.f64 841/108 x)))
(*.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108))) 1)
(/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (fma.f64 x -841/108 4/29))
(*.f64 1 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108))))
(/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (fma.f64 x -841/108 4/29))
(*.f64 (sqrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) (*.f64 (sqrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) (/.f64 -1 (-.f64 -4/29 (*.f64 x -841/108)))))
(/.f64 (neg.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) (-.f64 -4/29 (*.f64 x -841/108)))
(/.f64 (+.f64 -16/841 (*.f64 x (*.f64 x 707281/11664))) (+.f64 -4/29 (*.f64 841/108 x)))
(/.f64 (+.f64 (*.f64 x (*.f64 x 707281/11664)) -16/841) (+.f64 -4/29 (*.f64 841/108 x)))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108)))) (sqrt.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108)))))
(/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (fma.f64 x -841/108 4/29))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) 2) (*.f64 (cbrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) (/.f64 -1 (-.f64 -4/29 (*.f64 x -841/108)))))
(/.f64 (neg.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) (-.f64 -4/29 (*.f64 x -841/108)))
(/.f64 (+.f64 -16/841 (*.f64 x (*.f64 x 707281/11664))) (+.f64 -4/29 (*.f64 841/108 x)))
(/.f64 (+.f64 (*.f64 x (*.f64 x 707281/11664)) -16/841) (+.f64 -4/29 (*.f64 841/108 x)))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108)))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108)))) 2))
(/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (fma.f64 x -841/108 4/29))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108)))) 2) (cbrt.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108)))))
(/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (fma.f64 x -841/108 4/29))
(*.f64 (/.f64 -1 (-.f64 -4/29 (*.f64 x -841/108))) (fma.f64 -707281/11664 (*.f64 x x) 16/841))
(/.f64 (neg.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) (-.f64 -4/29 (*.f64 x -841/108)))
(/.f64 (+.f64 -16/841 (*.f64 x (*.f64 x 707281/11664))) (+.f64 -4/29 (*.f64 841/108 x)))
(/.f64 (+.f64 (*.f64 x (*.f64 x 707281/11664)) -16/841) (+.f64 -4/29 (*.f64 841/108 x)))
(*.f64 (neg.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) (/.f64 1 (-.f64 -4/29 (*.f64 x -841/108))))
(/.f64 (neg.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) (-.f64 -4/29 (*.f64 x -841/108)))
(/.f64 (+.f64 -16/841 (*.f64 x (*.f64 x 707281/11664))) (+.f64 -4/29 (*.f64 841/108 x)))
(/.f64 (+.f64 (*.f64 x (*.f64 x 707281/11664)) -16/841) (+.f64 -4/29 (*.f64 841/108 x)))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 4/29 (*.f64 x -841/108)))) (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (sqrt.f64 (+.f64 4/29 (*.f64 x -841/108)))))
(/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (fma.f64 x -841/108 4/29))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 4/29 (*.f64 x -841/108))) 2)) (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (cbrt.f64 (+.f64 4/29 (*.f64 x -841/108)))))
(/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (fma.f64 x -841/108 4/29))
(*.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (-.f64 16/841 (*.f64 (*.f64 x x) 707281/11664))) (-.f64 4/29 (*.f64 x -841/108)))
(*.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (-.f64 16/841 (*.f64 x (*.f64 x 707281/11664)))) (-.f64 4/29 (*.f64 x -841/108)))
(*.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (/.f64 (fma.f64 841/108 x 4/29) (fma.f64 -707281/11664 (*.f64 x x) 16/841)))
(*.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (fma.f64 -707281/11664 (*.f64 x x) 16/841)) (fma.f64 841/108 x 4/29))
(*.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (-.f64 64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712))) (+.f64 16/841 (+.f64 (*.f64 (*.f64 x x) 707281/11664) (*.f64 29/27 x))))
(*.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (-.f64 64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712))) (+.f64 16/841 (fma.f64 (*.f64 x x) 707281/11664 (*.f64 x 29/27))))
(*.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (fma.f64 (pow.f64 x 3) -594823321/1259712 64/24389)) (fma.f64 (*.f64 x -841/108) (fma.f64 x -841/108 -4/29) 16/841))
(*.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (/.f64 (fma.f64 (*.f64 x -841/108) (fma.f64 x -841/108 -4/29) 16/841) (fma.f64 (pow.f64 x 3) -594823321/1259712 64/24389)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) 1) (/.f64 (sqrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) (+.f64 4/29 (*.f64 x -841/108))))
(/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (fma.f64 x -841/108 4/29))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) (pow.f64 (cbrt.f64 (+.f64 4/29 (*.f64 x -841/108))) 2)) (/.f64 (sqrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) (cbrt.f64 (+.f64 4/29 (*.f64 x -841/108)))))
(/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (fma.f64 x -841/108 4/29))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) (+.f64 4/29 (*.f64 x -841/108))))
(/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (fma.f64 x -841/108 4/29))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) 2) (sqrt.f64 (+.f64 4/29 (*.f64 x -841/108)))) (/.f64 (cbrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) (sqrt.f64 (+.f64 4/29 (*.f64 x -841/108)))))
(/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (fma.f64 x -841/108 4/29))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) 2) (pow.f64 (cbrt.f64 (+.f64 4/29 (*.f64 x -841/108))) 2)) (cbrt.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108)))))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (fma.f64 x -841/108 4/29))) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) 2) (pow.f64 (cbrt.f64 (fma.f64 x -841/108 4/29)) 2)))
(pow.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108))) 1)
(/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (fma.f64 x -841/108 4/29))
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108)))) 2)
(/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (fma.f64 x -841/108 4/29))
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108)))) 3)
(/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (fma.f64 x -841/108 4/29))
(pow.f64 (pow.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108))) 3) 1/3)
(/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (fma.f64 x -841/108 4/29))
(pow.f64 (/.f64 (+.f64 4/29 (*.f64 x -841/108)) (fma.f64 -707281/11664 (*.f64 x x) 16/841)) -1)
(/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (fma.f64 x -841/108 4/29))
(neg.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (-.f64 -4/29 (*.f64 x -841/108))))
(/.f64 (neg.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) (-.f64 -4/29 (*.f64 x -841/108)))
(/.f64 (+.f64 -16/841 (*.f64 x (*.f64 x 707281/11664))) (+.f64 -4/29 (*.f64 841/108 x)))
(/.f64 (+.f64 (*.f64 x (*.f64 x 707281/11664)) -16/841) (+.f64 -4/29 (*.f64 841/108 x)))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108))) 2))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (fma.f64 x -841/108 4/29)) 2))
(fabs.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (fma.f64 x -841/108 4/29)))
(log.f64 (exp.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108)))))
(/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (fma.f64 x -841/108 4/29))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108))))))
(/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (fma.f64 x -841/108 4/29))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108))) 3))
(/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (fma.f64 x -841/108 4/29))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108)))))
(/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (fma.f64 x -841/108 4/29))
(exp.f64 (log.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108)))))
(/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (fma.f64 x -841/108 4/29))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108)))) 1))
(/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (fma.f64 x -841/108 4/29))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108)))))
(/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (fma.f64 x -841/108 4/29))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -707281/11664 (*.f64 x x)))) 1)
(*.f64 -707281/11664 (*.f64 x x))
(*.f64 x (*.f64 x -707281/11664))
(pow.f64 (*.f64 -707281/11664 (*.f64 x x)) 1)
(*.f64 -707281/11664 (*.f64 x x))
(*.f64 x (*.f64 x -707281/11664))
(pow.f64 (*.f64 x (sqrt.f64 -707281/11664)) 2)
(pow.f64 (cbrt.f64 (*.f64 -707281/11664 (*.f64 x x))) 3)
(*.f64 -707281/11664 (*.f64 x x))
(*.f64 x (*.f64 x -707281/11664))
(pow.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -353814783205469041/1586874322944) 1/3)
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -353814783205469041/1586874322944))
(cbrt.f64 (*.f64 (pow.f64 x 6) -353814783205469041/1586874322944))
(sqrt.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896))
(sqrt.f64 (*.f64 500246412961/136048896 (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 (*.f64 x x)) -707281/11664))
(*.f64 -707281/11664 (*.f64 x x))
(*.f64 x (*.f64 x -707281/11664))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -707281/11664 (*.f64 x x)))))
(*.f64 -707281/11664 (*.f64 x x))
(*.f64 x (*.f64 x -707281/11664))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -353814783205469041/1586874322944))
(cbrt.f64 (*.f64 (pow.f64 x 6) -353814783205469041/1586874322944))
(expm1.f64 (log1p.f64 (*.f64 -707281/11664 (*.f64 x x))))
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(/.f64 (*.f64 (cbrt.f64 (-.f64 16/841 (*.f64 (*.f64 x x) 707281/11664))) (pow.f64 (cbrt.f64 (+.f64 4/29 (*.f64 x -841/108))) 2)) (cbrt.f64 (-.f64 4/29 (*.f64 x -841/108))))
(/.f64 (cbrt.f64 (-.f64 16/841 (*.f64 x (*.f64 x 707281/11664)))) (/.f64 (cbrt.f64 (-.f64 4/29 (*.f64 x -841/108))) (pow.f64 (cbrt.f64 (fma.f64 x -841/108 4/29)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x -841/108 4/29)) 2) (cbrt.f64 (fma.f64 841/108 x 4/29))) (cbrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)))
(*.f64 (/.f64 (cbrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) (cbrt.f64 (fma.f64 841/108 x 4/29))) (pow.f64 (cbrt.f64 (fma.f64 x -841/108 4/29)) 2))
(/.f64 (*.f64 (cbrt.f64 (-.f64 64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712))) (pow.f64 (cbrt.f64 (+.f64 4/29 (*.f64 x -841/108))) 2)) (cbrt.f64 (+.f64 16/841 (+.f64 (*.f64 (*.f64 x x) 707281/11664) (*.f64 29/27 x)))))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 x -841/108 4/29)) 2) (/.f64 (cbrt.f64 (+.f64 16/841 (fma.f64 (*.f64 x x) 707281/11664 (*.f64 x 29/27)))) (cbrt.f64 (-.f64 64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x -841/108 4/29)) 2) (cbrt.f64 (fma.f64 (*.f64 x -841/108) (fma.f64 x -841/108 -4/29) 16/841))) (cbrt.f64 (fma.f64 (pow.f64 x 3) -594823321/1259712 64/24389)))
(/.f64 (*.f64 (-.f64 256/707281 (*.f64 (*.f64 (*.f64 x x) 707281/11664) (*.f64 (*.f64 x x) 707281/11664))) (/.f64 1 (-.f64 4/29 (*.f64 x -841/108)))) (+.f64 16/841 (*.f64 (*.f64 x x) 707281/11664)))
(/.f64 (-.f64 256/707281 (*.f64 500246412961/136048896 (pow.f64 x 4))) (/.f64 (+.f64 16/841 (*.f64 x (*.f64 x 707281/11664))) (/.f64 1 (-.f64 4/29 (*.f64 x -841/108)))))
(/.f64 (/.f64 (-.f64 256/707281 (*.f64 500246412961/136048896 (pow.f64 x 4))) (fma.f64 841/108 x 4/29)) (fma.f64 x (*.f64 x 707281/11664) 16/841))
(/.f64 (+.f64 256/707281 (*.f64 (pow.f64 x 4) -500246412961/136048896)) (*.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841) (fma.f64 841/108 x 4/29)))
(/.f64 (*.f64 (-.f64 4096/594823321 (pow.f64 (*.f64 (*.f64 x x) 707281/11664) 3)) (/.f64 1 (-.f64 4/29 (*.f64 x -841/108)))) (+.f64 256/707281 (+.f64 (*.f64 (*.f64 (*.f64 x x) 707281/11664) (*.f64 (*.f64 x x) 707281/11664)) (*.f64 16/841 (*.f64 (*.f64 x x) 707281/11664)))))
(/.f64 (*.f64 (/.f64 1 (-.f64 4/29 (*.f64 x -841/108))) (-.f64 4096/594823321 (*.f64 (pow.f64 (*.f64 x x) 3) 353814783205469041/1586874322944))) (+.f64 (+.f64 256/707281 (*.f64 500246412961/136048896 (pow.f64 x 4))) (*.f64 16/841 (*.f64 x (*.f64 x 707281/11664)))))
(/.f64 (/.f64 (+.f64 4096/594823321 (*.f64 (pow.f64 x 6) -353814783205469041/1586874322944)) (fma.f64 841/108 x 4/29)) (+.f64 256/707281 (fma.f64 500246412961/136048896 (pow.f64 x 4) (*.f64 (*.f64 x x) 841/729))))
(/.f64 (*.f64 (-.f64 4096/594823321 (*.f64 (*.f64 (pow.f64 x 3) 594823321/1259712) (*.f64 (pow.f64 x 3) 594823321/1259712))) (/.f64 1 (+.f64 16/841 (+.f64 (*.f64 (*.f64 x x) 707281/11664) (*.f64 29/27 x))))) (+.f64 64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712)))
(/.f64 (-.f64 4096/594823321 (*.f64 (pow.f64 (*.f64 x x) 3) 353814783205469041/1586874322944)) (/.f64 (+.f64 64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712)) (/.f64 1 (+.f64 16/841 (fma.f64 (*.f64 x x) 707281/11664 (*.f64 x 29/27))))))
(/.f64 (+.f64 4096/594823321 (*.f64 (pow.f64 x 6) -353814783205469041/1586874322944)) (*.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (fma.f64 (*.f64 x -841/108) (fma.f64 x -841/108 -4/29) 16/841)))
(/.f64 (*.f64 (-.f64 262144/14507145975869 (pow.f64 (*.f64 (pow.f64 x 3) 594823321/1259712) 3)) (/.f64 1 (+.f64 16/841 (+.f64 (*.f64 (*.f64 x x) 707281/11664) (*.f64 29/27 x))))) (+.f64 4096/594823321 (+.f64 (*.f64 (*.f64 (pow.f64 x 3) 594823321/1259712) (*.f64 (pow.f64 x 3) 594823321/1259712)) (*.f64 64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712)))))
(/.f64 (-.f64 262144/14507145975869 (pow.f64 (*.f64 (pow.f64 x 3) 594823321/1259712) 3)) (/.f64 (+.f64 4096/594823321 (*.f64 (*.f64 (pow.f64 x 3) 594823321/1259712) (+.f64 64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712)))) (/.f64 1 (+.f64 16/841 (fma.f64 (*.f64 x x) 707281/11664 (*.f64 x 29/27))))))
(/.f64 (/.f64 (+.f64 262144/14507145975869 (*.f64 (pow.f64 (pow.f64 x 3) 3) -210457284365172120330305161/1999004627104432128)) (fma.f64 (*.f64 x -841/108) (fma.f64 x -841/108 -4/29) 16/841)) (+.f64 4096/594823321 (fma.f64 (pow.f64 x 6) 353814783205469041/1586874322944 (*.f64 (pow.f64 x 3) 24389/19683))))
(/.f64 (+.f64 262144/14507145975869 (*.f64 (pow.f64 (pow.f64 x 3) 3) -210457284365172120330305161/1999004627104432128)) (*.f64 (+.f64 4096/594823321 (fma.f64 (pow.f64 x 6) 353814783205469041/1586874322944 (*.f64 (pow.f64 x 3) 24389/19683))) (fma.f64 (*.f64 x -841/108) (fma.f64 x -841/108 -4/29) 16/841)))
(/.f64 (/.f64 (-.f64 16/841 (*.f64 (*.f64 x x) 707281/11664)) 1) (-.f64 4/29 (*.f64 x -841/108)))
(/.f64 (-.f64 16/841 (*.f64 x (*.f64 x 707281/11664))) (-.f64 4/29 (*.f64 x -841/108)))
(/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (fma.f64 841/108 x 4/29))
(/.f64 (/.f64 (-.f64 16/841 (*.f64 (*.f64 x x) 707281/11664)) (sqrt.f64 (-.f64 4/29 (*.f64 x -841/108)))) (sqrt.f64 (-.f64 4/29 (*.f64 x -841/108))))
(/.f64 (-.f64 16/841 (*.f64 x (*.f64 x 707281/11664))) (-.f64 4/29 (*.f64 x -841/108)))
(/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (fma.f64 841/108 x 4/29))
(/.f64 (/.f64 (-.f64 16/841 (*.f64 (*.f64 x x) 707281/11664)) (*.f64 (cbrt.f64 (-.f64 4/29 (*.f64 x -841/108))) (cbrt.f64 (-.f64 4/29 (*.f64 x -841/108))))) (cbrt.f64 (-.f64 4/29 (*.f64 x -841/108))))
(/.f64 (-.f64 16/841 (*.f64 x (*.f64 x 707281/11664))) (-.f64 4/29 (*.f64 x -841/108)))
(/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (fma.f64 841/108 x 4/29))
(/.f64 (/.f64 (-.f64 64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712)) 1) (+.f64 16/841 (+.f64 (*.f64 (*.f64 x x) 707281/11664) (*.f64 29/27 x))))
(/.f64 (-.f64 64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712)) (+.f64 16/841 (fma.f64 (*.f64 x x) 707281/11664 (*.f64 x 29/27))))
(/.f64 (fma.f64 (pow.f64 x 3) -594823321/1259712 64/24389) (fma.f64 (*.f64 x -841/108) (fma.f64 x -841/108 -4/29) 16/841))
(/.f64 (/.f64 (-.f64 64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712)) (sqrt.f64 (+.f64 16/841 (+.f64 (*.f64 (*.f64 x x) 707281/11664) (*.f64 29/27 x))))) (sqrt.f64 (+.f64 16/841 (+.f64 (*.f64 (*.f64 x x) 707281/11664) (*.f64 29/27 x)))))
(/.f64 (-.f64 64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712)) (+.f64 16/841 (fma.f64 (*.f64 x x) 707281/11664 (*.f64 x 29/27))))
(/.f64 (fma.f64 (pow.f64 x 3) -594823321/1259712 64/24389) (fma.f64 (*.f64 x -841/108) (fma.f64 x -841/108 -4/29) 16/841))
(/.f64 (/.f64 (-.f64 64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712)) (*.f64 (cbrt.f64 (+.f64 16/841 (+.f64 (*.f64 (*.f64 x x) 707281/11664) (*.f64 29/27 x)))) (cbrt.f64 (+.f64 16/841 (+.f64 (*.f64 (*.f64 x x) 707281/11664) (*.f64 29/27 x)))))) (cbrt.f64 (+.f64 16/841 (+.f64 (*.f64 (*.f64 x x) 707281/11664) (*.f64 29/27 x)))))
(/.f64 (-.f64 64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712)) (+.f64 16/841 (fma.f64 (*.f64 x x) 707281/11664 (*.f64 x 29/27))))
(/.f64 (fma.f64 (pow.f64 x 3) -594823321/1259712 64/24389) (fma.f64 (*.f64 x -841/108) (fma.f64 x -841/108 -4/29) 16/841))
(pow.f64 (+.f64 4/29 (*.f64 x -841/108)) 1)
(fma.f64 x -841/108 4/29)
(pow.f64 (sqrt.f64 (+.f64 4/29 (*.f64 x -841/108))) 2)
(fma.f64 x -841/108 4/29)
(pow.f64 (cbrt.f64 (+.f64 4/29 (*.f64 x -841/108))) 3)
(fma.f64 x -841/108 4/29)
(pow.f64 (pow.f64 (+.f64 4/29 (*.f64 x -841/108)) 3) 1/3)
(fma.f64 x -841/108 4/29)
(sqrt.f64 (pow.f64 (+.f64 4/29 (*.f64 x -841/108)) 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 (+.f64 4/29 (*.f64 x -841/108))))
(fma.f64 x -841/108 4/29)
(log.f64 (+.f64 1 (expm1.f64 (+.f64 4/29 (*.f64 x -841/108)))))
(fma.f64 x -841/108 4/29)
(cbrt.f64 (pow.f64 (+.f64 4/29 (*.f64 x -841/108)) 3))
(fma.f64 x -841/108 4/29)
(expm1.f64 (log.f64 (+.f64 33/29 (*.f64 x -841/108))))
(expm1.f64 (log.f64 (+.f64 (*.f64 x -841/108) 33/29)))
(expm1.f64 (log.f64 (fma.f64 x -841/108 33/29)))
(exp.f64 (log.f64 (+.f64 4/29 (*.f64 x -841/108))))
(fma.f64 x -841/108 4/29)
(exp.f64 (*.f64 (log.f64 (+.f64 4/29 (*.f64 x -841/108))) 1))
(fma.f64 x -841/108 4/29)
(log1p.f64 (expm1.f64 (+.f64 4/29 (*.f64 x -841/108))))
(fma.f64 x -841/108 4/29)

localize26.0ms (0.4%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
99.8%
(*.f64 841/108 x)
99.7%
(/.f64 1 (/.f64 (-.f64 4/29 (*.f64 841/108 x)) (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x)))))
99.7%
(*.f64 -707281/11664 (*.f64 x x))
71.9%
(/.f64 (-.f64 4/29 (*.f64 841/108 x)) (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))))
Compiler

Compiled 58 to 39 computations (32.8% saved)

series1.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(/.f64 (-.f64 4/29 (*.f64 841/108 x)) (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))))
0.0ms
x
@0
(/.f64 (-.f64 4/29 (*.f64 841/108 x)) (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))))
0.0ms
x
@-inf
(/.f64 (-.f64 4/29 (*.f64 841/108 x)) (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))))
0.0ms
x
@-inf
(/.f64 1 (/.f64 (-.f64 4/29 (*.f64 841/108 x)) (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x)))))
0.0ms
x
@inf
(/.f64 1 (/.f64 (-.f64 4/29 (*.f64 841/108 x)) (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x)))))

rewrite115.0ms (1.9%)

Algorithm
batch-egg-rewrite
Rules
1598×associate-/l*
1160×associate-/r/
606×associate-/l/
334×add-sqr-sqrt
316×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01580
133966
2443366
Stop Event
node limit
Counts
2 → 157
Calls
Call 1
Inputs
(/.f64 (-.f64 4/29 (*.f64 841/108 x)) (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))))
(/.f64 1 (/.f64 (-.f64 4/29 (*.f64 841/108 x)) (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x)))))
Outputs
(((+.f64 (/.f64 4/29 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) (neg.f64 (*.f64 841/108 (/.f64 x (fma.f64 -707281/11664 (*.f64 x x) 16/841))))) (2)) ((+.f64 (neg.f64 (*.f64 841/108 (/.f64 x (fma.f64 -707281/11664 (*.f64 x x) 16/841)))) (/.f64 4/29 (fma.f64 -707281/11664 (*.f64 x x) 16/841))) (2)) ((-.f64 (/.f64 4/29 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) (*.f64 841/108 (/.f64 x (fma.f64 -707281/11664 (*.f64 x x) 16/841)))) (2)) ((-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 4/29 (*.f64 x -841/108)) (fma.f64 -707281/11664 (*.f64 x x) 16/841)))) 1) (2)) ((*.f64 (+.f64 4/29 (*.f64 x -841/108)) (/.f64 1 (fma.f64 -707281/11664 (*.f64 x x) 16/841))) (2)) ((*.f64 (/.f64 (+.f64 4/29 (*.f64 x -841/108)) (fma.f64 -707281/11664 (*.f64 x x) 16/841)) 1) (2)) ((*.f64 1 (/.f64 (+.f64 4/29 (*.f64 x -841/108)) (fma.f64 -707281/11664 (*.f64 x x) 16/841))) (2)) ((*.f64 1 (neg.f64 (/.f64 (-.f64 -4/29 (*.f64 x -841/108)) (fma.f64 -707281/11664 (*.f64 x x) 16/841)))) (2)) ((*.f64 (sqrt.f64 (/.f64 (+.f64 4/29 (*.f64 x -841/108)) (fma.f64 -707281/11664 (*.f64 x x) 16/841))) (sqrt.f64 (/.f64 (+.f64 4/29 (*.f64 x -841/108)) (fma.f64 -707281/11664 (*.f64 x x) 16/841)))) (2)) ((*.f64 (sqrt.f64 (+.f64 4/29 (*.f64 x -841/108))) (*.f64 (sqrt.f64 (+.f64 4/29 (*.f64 x -841/108))) (/.f64 1 (fma.f64 -707281/11664 (*.f64 x x) 16/841)))) (2)) ((*.f64 (cbrt.f64 (/.f64 (+.f64 4/29 (*.f64 x -841/108)) (fma.f64 -707281/11664 (*.f64 x x) 16/841))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 4/29 (*.f64 x -841/108)) (fma.f64 -707281/11664 (*.f64 x x) 16/841))) 2)) (2)) ((*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 4/29 (*.f64 x -841/108)) (fma.f64 -707281/11664 (*.f64 x x) 16/841))) 2) (cbrt.f64 (/.f64 (+.f64 4/29 (*.f64 x -841/108)) (fma.f64 -707281/11664 (*.f64 x x) 16/841)))) (2)) ((*.f64 (pow.f64 (cbrt.f64 (+.f64 4/29 (*.f64 x -841/108))) 2) (*.f64 (cbrt.f64 (+.f64 4/29 (*.f64 x -841/108))) (/.f64 1 (fma.f64 -707281/11664 (*.f64 x x) 16/841)))) (2)) ((*.f64 (/.f64 1 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) (+.f64 4/29 (*.f64 x -841/108))) (2)) ((*.f64 (-.f64 -4/29 (*.f64 x -841/108)) (/.f64 1 (-.f64 -16/841 (*.f64 x (*.f64 x -707281/11664))))) (2)) ((*.f64 -1 (/.f64 (-.f64 -4/29 (*.f64 x -841/108)) (fma.f64 -707281/11664 (*.f64 x x) 16/841))) (2)) ((*.f64 (/.f64 1 (sqrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841))) (/.f64 (+.f64 4/29 (*.f64 x -841/108)) (sqrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)))) (2)) ((*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) 2)) (/.f64 (+.f64 4/29 (*.f64 x -841/108)) (cbrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)))) (2)) ((*.f64 (/.f64 1 (-.f64 256/707281 (*.f64 500246412961/136048896 (pow.f64 x 4)))) (*.f64 (+.f64 4/29 (*.f64 x -841/108)) (+.f64 16/841 (*.f64 (*.f64 x x) 707281/11664)))) (2)) ((*.f64 (/.f64 1 (+.f64 4096/594823321 (*.f64 -353814783205469041/1586874322944 (pow.f64 (*.f64 x x) 3)))) (*.f64 (+.f64 4/29 (*.f64 x -841/108)) (+.f64 (*.f64 500246412961/136048896 (pow.f64 x 4)) (-.f64 256/707281 (*.f64 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(+.f64 4/29 (*.f64 x -841/108))))) (2)) ((exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 4/29 (*.f64 x -841/108)) (fma.f64 -707281/11664 (*.f64 x x) 16/841))) -1)) (2)) ((exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108)))) 1)) (2)) ((log1p.f64 (expm1.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108))))) (2)))

simplify138.0ms (2.2%)

Algorithm
egg-herbie
Rules
928×+-commutative
824×*-commutative
802×distribute-lft-in
692×distribute-rgt-in
664×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
051210333
116638351
277898351
Stop Event
node limit
Counts
181 → 270
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))))
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(pow.f64 (/.f64 (+.f64 4/29 (*.f64 x -841/108)) (fma.f64 -707281/11664 (*.f64 x x) 16/841)) -1)
(pow.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108))) 1)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108)))) 2)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108)))) 3)
(pow.f64 (pow.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108))) 3) 1/3)
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108))) 2))
(log.f64 (exp.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108))))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108))) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) 3) (pow.f64 (+.f64 4/29 (*.f64 x -841/108)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108)))))
(exp.f64 (log.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108)))))
(exp.f64 (-.f64 (log.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) (log.f64 (+.f64 4/29 (*.f64 x -841/108)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 4/29 (*.f64 x -841/108)) (fma.f64 -707281/11664 (*.f64 x x) 16/841))) -1))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108)))))
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 17249876309/746496 (*.f64 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 17249876309/746496 (*.f64 x x))) (fma.f64 -707281/1728 x 29/4))
(+.f64 (fma.f64 -707281/1728 x 29/4) (fma.f64 -420707233300201/322486272 (pow.f64 x 3) (*.f64 17249876309/746496 (*.f64 x x))))
(/.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)))
(-.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 108/841 x) (-.f64 (/.f64 20155392/500246412961 (pow.f64 x 3)) (/.f64 46656/20511149 (*.f64 x x))))
(+.f64 (/.f64 20155392/500246412961 (pow.f64 x 3)) (+.f64 (/.f64 108/841 x) (/.f64 -46656/20511149 (*.f64 x x))))
(+.f64 (+.f64 (/.f64 108/841 x) (/.f64 -46656/20511149 (*.f64 x x))) (/.f64 20155392/500246412961 (pow.f64 x 3)))
(-.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 (/.f64 108/841 x) (-.f64 (/.f64 20155392/500246412961 (pow.f64 x 3)) (+.f64 (/.f64 46656/20511149 (*.f64 x x)) (/.f64 8707129344/12200509765705829 (pow.f64 x 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)))
(-.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 108/841 x) (-.f64 (/.f64 20155392/500246412961 (pow.f64 x 3)) (/.f64 46656/20511149 (*.f64 x x))))
(+.f64 (/.f64 20155392/500246412961 (pow.f64 x 3)) (+.f64 (/.f64 108/841 x) (/.f64 -46656/20511149 (*.f64 x x))))
(+.f64 (+.f64 (/.f64 108/841 x) (/.f64 -46656/20511149 (*.f64 x x))) (/.f64 20155392/500246412961 (pow.f64 x 3)))
(-.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 (/.f64 108/841 x) (-.f64 (/.f64 20155392/500246412961 (pow.f64 x 3)) (+.f64 (/.f64 46656/20511149 (*.f64 x x)) (/.f64 8707129344/12200509765705829 (pow.f64 x 4)))))
4/29
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 x 841/108))
(fma.f64 x 841/108 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 x 841/108))
(fma.f64 x 841/108 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 x 841/108))
(fma.f64 x 841/108 4/29)
(*.f64 841/108 x)
(*.f64 x 841/108)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 x 841/108))
(fma.f64 x 841/108 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 x 841/108))
(fma.f64 x 841/108 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 x 841/108))
(fma.f64 x 841/108 4/29)
(*.f64 841/108 x)
(*.f64 x 841/108)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 x 841/108))
(fma.f64 x 841/108 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 x 841/108))
(fma.f64 x 841/108 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 x 841/108))
(fma.f64 x 841/108 4/29)
(+.f64 (/.f64 4/29 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) (neg.f64 (*.f64 841/108 (/.f64 x (fma.f64 -707281/11664 (*.f64 x x) 16/841)))))
(-.f64 (/.f64 4/29 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) (/.f64 (*.f64 x 841/108) (fma.f64 -707281/11664 (*.f64 x x) 16/841)))
(fma.f64 -841/108 (/.f64 x (fma.f64 -707281/11664 (*.f64 x x) 16/841)) (/.f64 4/29 (fma.f64 -707281/11664 (*.f64 x x) 16/841)))
(+.f64 (neg.f64 (*.f64 841/108 (/.f64 x (fma.f64 -707281/11664 (*.f64 x x) 16/841)))) (/.f64 4/29 (fma.f64 -707281/11664 (*.f64 x x) 16/841)))
(-.f64 (/.f64 4/29 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) (/.f64 (*.f64 x 841/108) (fma.f64 -707281/11664 (*.f64 x x) 16/841)))
(fma.f64 -841/108 (/.f64 x (fma.f64 -707281/11664 (*.f64 x x) 16/841)) (/.f64 4/29 (fma.f64 -707281/11664 (*.f64 x x) 16/841)))
(-.f64 (/.f64 4/29 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) (*.f64 841/108 (/.f64 x (fma.f64 -707281/11664 (*.f64 x x) 16/841))))
(-.f64 (/.f64 4/29 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) (/.f64 (*.f64 x 841/108) (fma.f64 -707281/11664 (*.f64 x x) 16/841)))
(fma.f64 -841/108 (/.f64 x (fma.f64 -707281/11664 (*.f64 x x) 16/841)) (/.f64 4/29 (fma.f64 -707281/11664 (*.f64 x x) 16/841)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 4/29 (*.f64 x -841/108)) (fma.f64 -707281/11664 (*.f64 x x) 16/841)))) 1)
(/.f64 (+.f64 4/29 (*.f64 x -841/108)) (fma.f64 -707281/11664 (*.f64 x x) 16/841))
(/.f64 (fma.f64 x -841/108 4/29) (fma.f64 -707281/11664 (*.f64 x x) 16/841))
(*.f64 (+.f64 4/29 (*.f64 x -841/108)) (/.f64 1 (fma.f64 -707281/11664 (*.f64 x x) 16/841)))
(/.f64 (+.f64 4/29 (*.f64 x -841/108)) (fma.f64 -707281/11664 (*.f64 x x) 16/841))
(/.f64 (fma.f64 x -841/108 4/29) (fma.f64 -707281/11664 (*.f64 x x) 16/841))
(*.f64 (/.f64 (+.f64 4/29 (*.f64 x -841/108)) (fma.f64 -707281/11664 (*.f64 x x) 16/841)) 1)
(/.f64 (+.f64 4/29 (*.f64 x -841/108)) (fma.f64 -707281/11664 (*.f64 x x) 16/841))
(/.f64 (fma.f64 x -841/108 4/29) (fma.f64 -707281/11664 (*.f64 x x) 16/841))
(*.f64 1 (/.f64 (+.f64 4/29 (*.f64 x -841/108)) (fma.f64 -707281/11664 (*.f64 x x) 16/841)))
(/.f64 (+.f64 4/29 (*.f64 x -841/108)) (fma.f64 -707281/11664 (*.f64 x x) 16/841))
(/.f64 (fma.f64 x -841/108 4/29) (fma.f64 -707281/11664 (*.f64 x x) 16/841))
(*.f64 1 (neg.f64 (/.f64 (-.f64 -4/29 (*.f64 x -841/108)) (fma.f64 -707281/11664 (*.f64 x x) 16/841))))
(/.f64 (+.f64 4/29 (*.f64 x -841/108)) (fma.f64 -707281/11664 (*.f64 x x) 16/841))
(/.f64 (fma.f64 x -841/108 4/29) (fma.f64 -707281/11664 (*.f64 x x) 16/841))
(*.f64 (sqrt.f64 (/.f64 (+.f64 4/29 (*.f64 x -841/108)) (fma.f64 -707281/11664 (*.f64 x x) 16/841))) (sqrt.f64 (/.f64 (+.f64 4/29 (*.f64 x -841/108)) (fma.f64 -707281/11664 (*.f64 x x) 16/841))))
(/.f64 (+.f64 4/29 (*.f64 x -841/108)) (fma.f64 -707281/11664 (*.f64 x x) 16/841))
(/.f64 (fma.f64 x -841/108 4/29) (fma.f64 -707281/11664 (*.f64 x x) 16/841))
(*.f64 (sqrt.f64 (+.f64 4/29 (*.f64 x -841/108))) (*.f64 (sqrt.f64 (+.f64 4/29 (*.f64 x -841/108))) (/.f64 1 (fma.f64 -707281/11664 (*.f64 x x) 16/841))))
(/.f64 (+.f64 4/29 (*.f64 x -841/108)) (fma.f64 -707281/11664 (*.f64 x x) 16/841))
(/.f64 (fma.f64 x -841/108 4/29) (fma.f64 -707281/11664 (*.f64 x x) 16/841))
(*.f64 (cbrt.f64 (/.f64 (+.f64 4/29 (*.f64 x -841/108)) (fma.f64 -707281/11664 (*.f64 x x) 16/841))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 4/29 (*.f64 x -841/108)) (fma.f64 -707281/11664 (*.f64 x x) 16/841))) 2))
(/.f64 (+.f64 4/29 (*.f64 x -841/108)) (fma.f64 -707281/11664 (*.f64 x x) 16/841))
(/.f64 (fma.f64 x -841/108 4/29) (fma.f64 -707281/11664 (*.f64 x x) 16/841))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 4/29 (*.f64 x -841/108)) (fma.f64 -707281/11664 (*.f64 x x) 16/841))) 2) (cbrt.f64 (/.f64 (+.f64 4/29 (*.f64 x -841/108)) (fma.f64 -707281/11664 (*.f64 x x) 16/841))))
(/.f64 (+.f64 4/29 (*.f64 x -841/108)) (fma.f64 -707281/11664 (*.f64 x x) 16/841))
(/.f64 (fma.f64 x -841/108 4/29) (fma.f64 -707281/11664 (*.f64 x x) 16/841))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 4/29 (*.f64 x -841/108))) 2) (*.f64 (cbrt.f64 (+.f64 4/29 (*.f64 x -841/108))) (/.f64 1 (fma.f64 -707281/11664 (*.f64 x x) 16/841))))
(/.f64 (+.f64 4/29 (*.f64 x -841/108)) (fma.f64 -707281/11664 (*.f64 x x) 16/841))
(/.f64 (fma.f64 x -841/108 4/29) (fma.f64 -707281/11664 (*.f64 x x) 16/841))
(*.f64 (/.f64 1 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) (+.f64 4/29 (*.f64 x -841/108)))
(/.f64 (+.f64 4/29 (*.f64 x -841/108)) (fma.f64 -707281/11664 (*.f64 x x) 16/841))
(/.f64 (fma.f64 x -841/108 4/29) (fma.f64 -707281/11664 (*.f64 x x) 16/841))
(*.f64 (-.f64 -4/29 (*.f64 x -841/108)) (/.f64 1 (-.f64 -16/841 (*.f64 x (*.f64 x -707281/11664)))))
(/.f64 (+.f64 4/29 (*.f64 x -841/108)) (fma.f64 -707281/11664 (*.f64 x x) 16/841))
(/.f64 (fma.f64 x -841/108 4/29) (fma.f64 -707281/11664 (*.f64 x x) 16/841))
(*.f64 -1 (/.f64 (-.f64 -4/29 (*.f64 x -841/108)) (fma.f64 -707281/11664 (*.f64 x x) 16/841)))
(/.f64 (+.f64 4/29 (*.f64 x -841/108)) (fma.f64 -707281/11664 (*.f64 x x) 16/841))
(/.f64 (fma.f64 x -841/108 4/29) (fma.f64 -707281/11664 (*.f64 x x) 16/841))
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841))) (/.f64 (+.f64 4/29 (*.f64 x -841/108)) (sqrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841))))
(/.f64 (+.f64 4/29 (*.f64 x -841/108)) (fma.f64 -707281/11664 (*.f64 x x) 16/841))
(/.f64 (fma.f64 x -841/108 4/29) (fma.f64 -707281/11664 (*.f64 x x) 16/841))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) 2)) (/.f64 (+.f64 4/29 (*.f64 x -841/108)) (cbrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841))))
(/.f64 (+.f64 4/29 (*.f64 x -841/108)) (fma.f64 -707281/11664 (*.f64 x x) 16/841))
(/.f64 (fma.f64 x -841/108 4/29) (fma.f64 -707281/11664 (*.f64 x x) 16/841))
(*.f64 (/.f64 1 (-.f64 256/707281 (*.f64 500246412961/136048896 (pow.f64 x 4)))) (*.f64 (+.f64 4/29 (*.f64 x -841/108)) (+.f64 16/841 (*.f64 (*.f64 x x) 707281/11664))))
(*.f64 (/.f64 1 (+.f64 256/707281 (*.f64 -500246412961/136048896 (pow.f64 x 4)))) (*.f64 (+.f64 4/29 (*.f64 x -841/108)) (+.f64 16/841 (*.f64 x (*.f64 x 707281/11664)))))
(*.f64 (fma.f64 x -841/108 4/29) (/.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841) (+.f64 256/707281 (*.f64 (pow.f64 x 4) -500246412961/136048896))))
(*.f64 (/.f64 1 (+.f64 4096/594823321 (*.f64 -353814783205469041/1586874322944 (pow.f64 (*.f64 x x) 3)))) (*.f64 (+.f64 4/29 (*.f64 x -841/108)) (+.f64 (*.f64 500246412961/136048896 (pow.f64 x 4)) (-.f64 256/707281 (*.f64 -841/729 (*.f64 x x))))))
(*.f64 (/.f64 1 (+.f64 4096/594823321 (*.f64 -353814783205469041/1586874322944 (pow.f64 (*.f64 x x) 3)))) (*.f64 (+.f64 4/29 (*.f64 x -841/108)) (fma.f64 500246412961/136048896 (pow.f64 x 4) (-.f64 256/707281 (*.f64 (*.f64 x x) -841/729)))))
(*.f64 (fma.f64 x -841/108 4/29) (/.f64 (fma.f64 (pow.f64 x 4) 500246412961/136048896 (+.f64 256/707281 (*.f64 (*.f64 x x) 841/729))) (fma.f64 -353814783205469041/1586874322944 (pow.f64 x 6) 4096/594823321)))
(*.f64 (/.f64 (+.f64 4/29 (*.f64 x -841/108)) (-.f64 256/707281 (*.f64 500246412961/136048896 (pow.f64 x 4)))) (+.f64 16/841 (*.f64 (*.f64 x x) 707281/11664)))
(*.f64 (/.f64 1 (+.f64 256/707281 (*.f64 -500246412961/136048896 (pow.f64 x 4)))) (*.f64 (+.f64 4/29 (*.f64 x -841/108)) (+.f64 16/841 (*.f64 x (*.f64 x 707281/11664)))))
(*.f64 (fma.f64 x -841/108 4/29) (/.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841) (+.f64 256/707281 (*.f64 (pow.f64 x 4) -500246412961/136048896))))
(*.f64 (/.f64 (+.f64 4/29 (*.f64 x -841/108)) (+.f64 4096/594823321 (*.f64 -353814783205469041/1586874322944 (pow.f64 (*.f64 x x) 3)))) (+.f64 (*.f64 500246412961/136048896 (pow.f64 x 4)) (-.f64 256/707281 (*.f64 -841/729 (*.f64 x x)))))
(*.f64 (/.f64 1 (+.f64 4096/594823321 (*.f64 -353814783205469041/1586874322944 (pow.f64 (*.f64 x x) 3)))) (*.f64 (+.f64 4/29 (*.f64 x -841/108)) (fma.f64 500246412961/136048896 (pow.f64 x 4) (-.f64 256/707281 (*.f64 (*.f64 x x) -841/729)))))
(*.f64 (fma.f64 x -841/108 4/29) (/.f64 (fma.f64 (pow.f64 x 4) 500246412961/136048896 (+.f64 256/707281 (*.f64 (*.f64 x x) 841/729))) (fma.f64 -353814783205469041/1586874322944 (pow.f64 x 6) 4096/594823321)))
(*.f64 (/.f64 1 (-.f64 -16/841 (*.f64 x (*.f64 x -707281/11664)))) (-.f64 -4/29 (*.f64 x -841/108)))
(/.f64 (+.f64 4/29 (*.f64 x -841/108)) (fma.f64 -707281/11664 (*.f64 x x) 16/841))
(/.f64 (fma.f64 x -841/108 4/29) (fma.f64 -707281/11664 (*.f64 x x) 16/841))
(*.f64 (/.f64 (sqrt.f64 (+.f64 4/29 (*.f64 x -841/108))) 1) (/.f64 (sqrt.f64 (+.f64 4/29 (*.f64 x -841/108))) (fma.f64 -707281/11664 (*.f64 x x) 16/841)))
(/.f64 (+.f64 4/29 (*.f64 x -841/108)) (fma.f64 -707281/11664 (*.f64 x x) 16/841))
(/.f64 (fma.f64 x -841/108 4/29) (fma.f64 -707281/11664 (*.f64 x x) 16/841))
(*.f64 (/.f64 (sqrt.f64 (+.f64 4/29 (*.f64 x -841/108))) (fma.f64 -707281/11664 (*.f64 x x) 16/841)) (sqrt.f64 (+.f64 4/29 (*.f64 x -841/108))))
(/.f64 (+.f64 4/29 (*.f64 x -841/108)) (fma.f64 -707281/11664 (*.f64 x x) 16/841))
(/.f64 (fma.f64 x -841/108 4/29) (fma.f64 -707281/11664 (*.f64 x x) 16/841))
(*.f64 (/.f64 (sqrt.f64 (+.f64 4/29 (*.f64 x -841/108))) (pow.f64 (cbrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) 2)) (/.f64 (sqrt.f64 (+.f64 4/29 (*.f64 x -841/108))) (cbrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841))))
(/.f64 (+.f64 4/29 (*.f64 x -841/108)) (fma.f64 -707281/11664 (*.f64 x x) 16/841))
(/.f64 (fma.f64 x -841/108 4/29) (fma.f64 -707281/11664 (*.f64 x x) 16/841))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 4/29 (*.f64 x -841/108))) 2) 1) (/.f64 (cbrt.f64 (+.f64 4/29 (*.f64 x -841/108))) (fma.f64 -707281/11664 (*.f64 x x) 16/841)))
(/.f64 (+.f64 4/29 (*.f64 x -841/108)) (fma.f64 -707281/11664 (*.f64 x x) 16/841))
(/.f64 (fma.f64 x -841/108 4/29) (fma.f64 -707281/11664 (*.f64 x x) 16/841))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 4/29 (*.f64 x -841/108))) 2) (sqrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841))) (/.f64 (cbrt.f64 (+.f64 4/29 (*.f64 x -841/108))) (sqrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841))))
(/.f64 (+.f64 4/29 (*.f64 x -841/108)) (fma.f64 -707281/11664 (*.f64 x x) 16/841))
(/.f64 (fma.f64 x -841/108 4/29) (fma.f64 -707281/11664 (*.f64 x x) 16/841))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 4/29 (*.f64 x -841/108))) 2) (pow.f64 (cbrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) 2)) (cbrt.f64 (/.f64 (+.f64 4/29 (*.f64 x -841/108)) (fma.f64 -707281/11664 (*.f64 x x) 16/841))))
(*.f64 (cbrt.f64 (/.f64 (+.f64 4/29 (*.f64 x -841/108)) (fma.f64 -707281/11664 (*.f64 x x) 16/841))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 4/29 (*.f64 x -841/108))) 2) (pow.f64 (cbrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) 2)))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 x -841/108 4/29) (fma.f64 -707281/11664 (*.f64 x x) 16/841))) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x -841/108 4/29)) 2) (pow.f64 (cbrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 4/29 (*.f64 x -841/108))) 2) (fma.f64 -707281/11664 (*.f64 x x) 16/841)) (cbrt.f64 (+.f64 4/29 (*.f64 x -841/108))))
(/.f64 (+.f64 4/29 (*.f64 x -841/108)) (fma.f64 -707281/11664 (*.f64 x x) 16/841))
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(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (+.f64 4/29 (*.f64 x -841/108)) (fma.f64 -707281/11664 (*.f64 x x) 16/841))) 2)) (cbrt.f64 (+.f64 4/29 (*.f64 x -841/108)))) (cbrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)))
(*.f64 (cbrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) (/.f64 1 (*.f64 (cbrt.f64 (+.f64 4/29 (*.f64 x -841/108))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 4/29 (*.f64 x -841/108)) (fma.f64 -707281/11664 (*.f64 x x) 16/841))) 2))))
(/.f64 (cbrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) (*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x -841/108 4/29) (fma.f64 -707281/11664 (*.f64 x x) 16/841))) 2) (cbrt.f64 (fma.f64 x -841/108 4/29))))
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (+.f64 4/29 (*.f64 x -841/108)) (fma.f64 -707281/11664 (*.f64 x x) 16/841))) 2)) (cbrt.f64 (-.f64 -4/29 (*.f64 x -841/108)))) (cbrt.f64 (-.f64 -16/841 (*.f64 x (*.f64 x -707281/11664)))))
(*.f64 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x -841/108 4/29) (fma.f64 -707281/11664 (*.f64 x x) 16/841))) 2) (cbrt.f64 (-.f64 -4/29 (*.f64 x -841/108))))) (cbrt.f64 (+.f64 -16/841 (*.f64 x (*.f64 x 707281/11664)))))
(pow.f64 (/.f64 (+.f64 4/29 (*.f64 x -841/108)) (fma.f64 -707281/11664 (*.f64 x x) 16/841)) -1)
(*.f64 (/.f64 1 (+.f64 4/29 (*.f64 x -841/108))) (+.f64 16/841 (*.f64 x (*.f64 x -707281/11664))))
(/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (fma.f64 x -841/108 4/29))
(pow.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108))) 1)
(*.f64 (/.f64 1 (+.f64 4/29 (*.f64 x -841/108))) (+.f64 16/841 (*.f64 x (*.f64 x -707281/11664))))
(/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (fma.f64 x -841/108 4/29))
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108)))) 2)
(*.f64 (/.f64 1 (+.f64 4/29 (*.f64 x -841/108))) (+.f64 16/841 (*.f64 x (*.f64 x -707281/11664))))
(/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (fma.f64 x -841/108 4/29))
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108)))) 3)
(*.f64 (/.f64 1 (+.f64 4/29 (*.f64 x -841/108))) (+.f64 16/841 (*.f64 x (*.f64 x -707281/11664))))
(/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (fma.f64 x -841/108 4/29))
(pow.f64 (pow.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108))) 3) 1/3)
(*.f64 (/.f64 1 (+.f64 4/29 (*.f64 x -841/108))) (+.f64 16/841 (*.f64 x (*.f64 x -707281/11664))))
(/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (fma.f64 x -841/108 4/29))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108))) 2))
(fabs.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (fma.f64 x -841/108 4/29)))
(log.f64 (exp.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108)))))
(*.f64 (/.f64 1 (+.f64 4/29 (*.f64 x -841/108))) (+.f64 16/841 (*.f64 x (*.f64 x -707281/11664))))
(/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (fma.f64 x -841/108 4/29))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108))))))
(*.f64 (/.f64 1 (+.f64 4/29 (*.f64 x -841/108))) (+.f64 16/841 (*.f64 x (*.f64 x -707281/11664))))
(/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (fma.f64 x -841/108 4/29))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108))) 3))
(*.f64 (/.f64 1 (+.f64 4/29 (*.f64 x -841/108))) (+.f64 16/841 (*.f64 x (*.f64 x -707281/11664))))
(/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (fma.f64 x -841/108 4/29))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) 3) (pow.f64 (+.f64 4/29 (*.f64 x -841/108)) 3)))
(*.f64 (/.f64 1 (+.f64 4/29 (*.f64 x -841/108))) (+.f64 16/841 (*.f64 x (*.f64 x -707281/11664))))
(/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (fma.f64 x -841/108 4/29))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108)))))
(*.f64 (/.f64 1 (+.f64 4/29 (*.f64 x -841/108))) (+.f64 16/841 (*.f64 x (*.f64 x -707281/11664))))
(/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (fma.f64 x -841/108 4/29))
(exp.f64 (log.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108)))))
(*.f64 (/.f64 1 (+.f64 4/29 (*.f64 x -841/108))) (+.f64 16/841 (*.f64 x (*.f64 x -707281/11664))))
(/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (fma.f64 x -841/108 4/29))
(exp.f64 (-.f64 (log.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) (log.f64 (+.f64 4/29 (*.f64 x -841/108)))))
(*.f64 (/.f64 1 (+.f64 4/29 (*.f64 x -841/108))) (+.f64 16/841 (*.f64 x (*.f64 x -707281/11664))))
(/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (fma.f64 x -841/108 4/29))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 4/29 (*.f64 x -841/108)) (fma.f64 -707281/11664 (*.f64 x x) 16/841))) -1))
(*.f64 (/.f64 1 (+.f64 4/29 (*.f64 x -841/108))) (+.f64 16/841 (*.f64 x (*.f64 x -707281/11664))))
(/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (fma.f64 x -841/108 4/29))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108)))) 1))
(*.f64 (/.f64 1 (+.f64 4/29 (*.f64 x -841/108))) (+.f64 16/841 (*.f64 x (*.f64 x -707281/11664))))
(/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (fma.f64 x -841/108 4/29))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108)))))
(*.f64 (/.f64 1 (+.f64 4/29 (*.f64 x -841/108))) (+.f64 16/841 (*.f64 x (*.f64 x -707281/11664))))
(/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (fma.f64 x -841/108 4/29))

localize22.0ms (0.4%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
99.8%
(*.f64 x -841/108)
99.7%
(/.f64 707281/11664 (+.f64 4/29 (*.f64 x -841/108)))
99.4%
(/.f64 16/841 (+.f64 4/29 (*.f64 x -841/108)))
72.3%
(*.f64 (/.f64 707281/11664 (+.f64 4/29 (*.f64 x -841/108))) (*.f64 x x))
Compiler

Compiled 61 to 45 computations (26.2% saved)

series2.0ms (0%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(*.f64 (/.f64 707281/11664 (+.f64 4/29 (*.f64 x -841/108))) (*.f64 x x))
0.0ms
x
@0
(*.f64 (/.f64 707281/11664 (+.f64 4/29 (*.f64 x -841/108))) (*.f64 x x))
0.0ms
x
@inf
(/.f64 707281/11664 (+.f64 4/29 (*.f64 x -841/108)))
0.0ms
x
@inf
(/.f64 16/841 (+.f64 4/29 (*.f64 x -841/108)))
0.0ms
x
@0
(*.f64 x -841/108)

rewrite90.0ms (1.5%)

Algorithm
batch-egg-rewrite
Rules
1772×associate-*r/
1512×associate-*l/
862×associate-/r*
580×associate-/l*
276×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01376
128864
2355964
Stop Event
node limit
Counts
4 → 196
Calls
Call 1
Inputs
(*.f64 (/.f64 707281/11664 (+.f64 4/29 (*.f64 x -841/108))) (*.f64 x x))
(/.f64 16/841 (+.f64 4/29 (*.f64 x -841/108)))
(/.f64 707281/11664 (+.f64 4/29 (*.f64 x -841/108)))
(*.f64 x -841/108)
Outputs
(((-.f64 (exp.f64 (log1p.f64 (*.f64 707281/11664 (/.f64 (*.f64 x x) (fma.f64 x -841/108 4/29))))) 1) (2)) ((/.f64 707281/11664 (/.f64 (fma.f64 x -841/108 4/29) (*.f64 x x))) (2)) ((/.f64 x (/.f64 (*.f64 (fma.f64 x -841/108 4/29) 11664/707281) x)) (2)) ((/.f64 x (/.f64 (fma.f64 x -841/108 4/29) (*.f64 -841/108 (*.f64 x -841/108)))) (2)) ((/.f64 -841/108 (/.f64 (fma.f64 x -841/108 4/29) (*.f64 x (*.f64 x -841/108)))) (2)) ((/.f64 (*.f64 x -841/108) (/.f64 (fma.f64 x -841/108 4/29) (*.f64 x -841/108))) (2)) ((/.f64 (*.f64 x x) (*.f64 (fma.f64 x -841/108 4/29) 11664/707281)) (2)) ((/.f64 (*.f64 707281/11664 (/.f64 (*.f64 x x) (fma.f64 x -841/108 4/29))) 1) (2)) ((/.f64 1 (/.f64 (fma.f64 x -841/108 4/29) (*.f64 707281/11664 (*.f64 x x)))) (2)) ((/.f64 (sqrt.f64 x) (/.f64 (*.f64 (fma.f64 x -841/108 4/29) 11664/707281) (*.f64 (sqrt.f64 x) x))) (2)) ((/.f64 (sqrt.f64 (*.f64 x -841/108)) (/.f64 (fma.f64 x -841/108 4/29) (*.f64 (sqrt.f64 (*.f64 x -841/108)) (*.f64 x -841/108)))) (2)) ((/.f64 (cbrt.f64 (*.f64 x x)) (/.f64 (*.f64 (fma.f64 x -841/108 4/29) 11664/707281) (cbrt.f64 (pow.f64 x 4)))) (2)) ((/.f64 (cbrt.f64 (*.f64 x x)) (/.f64 (*.f64 (fma.f64 x -841/108 4/29) 11664/707281) (*.f64 (cbrt.f64 x) x))) (2)) ((/.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 (*.f64 (fma.f64 x -841/108 4/29) 11664/707281) (cbrt.f64 (*.f64 x x)))) (2)) ((/.f64 (pow.f64 (cbrt.f64 (*.f64 x -841/108)) 2) (/.f64 (fma.f64 x -841/108 4/29) (*.f64 (cbrt.f64 (*.f64 x -841/108)) (*.f64 x -841/108)))) (2)) ((/.f64 (*.f64 707281/11664 (*.f64 x x)) (fma.f64 x -841/108 4/29)) (2)) ((/.f64 (*.f64 707281/11664 (*.f64 x x)) (neg.f64 (-.f64 -4/29 (*.f64 x -841/108)))) (2)) ((/.f64 -707281/11664 (/.f64 (-.f64 -4/29 (*.f64 x -841/108)) (*.f64 x x))) (2)) ((/.f64 (*.f64 x (sqrt.f64 x)) (/.f64 (*.f64 (fma.f64 x -841/108 4/29) 11664/707281) (sqrt.f64 x))) (2)) ((/.f64 (*.f64 (*.f64 x -841/108) (sqrt.f64 (*.f64 x -841/108))) (/.f64 (fma.f64 x -841/108 4/29) (sqrt.f64 (*.f64 x -841/108)))) (2)) ((/.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x -841/108)) 2) (pow.f64 (cbrt.f64 (*.f64 x -841/108)) 2)) (/.f64 (fma.f64 x -841/108 4/29) (pow.f64 (cbrt.f64 (*.f64 x -841/108)) 2))) (2)) ((/.f64 (*.f64 x (cbrt.f64 (*.f64 x x))) (/.f64 (*.f64 (fma.f64 x -841/108 4/29) 11664/707281) (cbrt.f64 x))) (2)) ((/.f64 (*.f64 (*.f64 707281/11664 (*.f64 x x)) 1) (fma.f64 x -841/108 4/29)) (2)) ((/.f64 (/.f64 (*.f64 x x) (sqrt.f64 (*.f64 (fma.f64 x -841/108 4/29) 11664/707281))) (sqrt.f64 (*.f64 (fma.f64 x -841/108 4/29) 11664/707281))) (2)) ((/.f64 (*.f64 (*.f64 x -841/108) x) (/.f64 (fma.f64 x -841/108 4/29) -841/108)) (2)) ((/.f64 (*.f64 (*.f64 x -841/108) -841/108) (/.f64 (fma.f64 x -841/108 4/29) x)) (2)) ((/.f64 (*.f64 (*.f64 x -841/108) (pow.f64 (cbrt.f64 (*.f64 x -841/108)) 2)) (/.f64 (fma.f64 x -841/108 4/29) (cbrt.f64 (*.f64 x -841/108)))) (2)) ((/.f64 (*.f64 707281/11664 x) (/.f64 (fma.f64 x -841/108 4/29) x)) (2)) ((/.f64 (*.f64 707281/11664 (cbrt.f64 (pow.f64 x 4))) (/.f64 (fma.f64 x -841/108 4/29) (cbrt.f64 (*.f64 x x)))) (2)) ((/.f64 (/.f64 (*.f64 x x) (fma.f64 x -841/108 4/29)) 11664/707281) (2)) ((/.f64 (*.f64 (*.f64 x x) -707281/11664) (-.f64 -4/29 (*.f64 x -841/108))) (2)) ((/.f64 (*.f64 -707281/11664 (*.f64 x x)) (-.f64 -4/29 (*.f64 x -841/108))) (2)) ((/.f64 (/.f64 (*.f64 x x) 11664/707281) (fma.f64 x -841/108 4/29)) (2)) ((/.f64 (/.f64 707281/11664 (/.f64 (sqrt.f64 (fma.f64 x -841/108 4/29)) (*.f64 x x))) (sqrt.f64 (fma.f64 x -841/108 4/29))) (2)) ((/.f64 (/.f64 707281/11664 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x -841/108 4/29)) 2) (*.f64 x x))) (cbrt.f64 (fma.f64 x -841/108 4/29))) (2)) ((/.f64 (/.f64 707281/11664 (/.f64 (-.f64 16/841 (*.f64 707281/11664 (*.f64 x x))) (*.f64 x x))) (/.f64 1 (+.f64 4/29 (*.f64 841/108 x)))) (2)) ((/.f64 (/.f64 707281/11664 (/.f64 (+.f64 64/24389 (*.f64 (pow.f64 x 3) -594823321/1259712)) (*.f64 x x))) (/.f64 1 (+.f64 (*.f64 707281/11664 (*.f64 x x)) (-.f64 16/841 (*.f64 -29/27 x))))) (2)) ((/.f64 (neg.f64 (*.f64 707281/11664 (*.f64 x x))) (-.f64 -4/29 (*.f64 x -841/108))) (2)) ((/.f64 (*.f64 x (*.f64 707281/11664 x)) (fma.f64 x -841/108 4/29)) (2)) ((/.f64 (*.f64 x (*.f64 -707281/11664 x)) (-.f64 -4/29 (*.f64 x -841/108))) (2)) ((/.f64 (*.f64 (*.f64 x x) (/.f64 707281/11664 (sqrt.f64 (fma.f64 x -841/108 4/29)))) (sqrt.f64 (fma.f64 x -841/108 4/29))) (2)) ((/.f64 (*.f64 (*.f64 x x) (/.f64 707281/11664 (pow.f64 (cbrt.f64 (fma.f64 x -841/108 4/29)) 2))) (cbrt.f64 (fma.f64 x -841/108 4/29))) (2)) ((/.f64 (*.f64 (*.f64 x x) -1) (neg.f64 (*.f64 (fma.f64 x -841/108 4/29) 11664/707281))) (2)) ((/.f64 (*.f64 1 (*.f64 (*.f64 x x) -707281/11664)) (-.f64 -4/29 (*.f64 x -841/108))) (2)) ((/.f64 (*.f64 1 (*.f64 -707281/11664 (*.f64 x x))) (-.f64 -4/29 (*.f64 x -841/108))) (2)) ((/.f64 (*.f64 1 (/.f64 (*.f64 x x) 11664/707281)) (fma.f64 x -841/108 4/29)) (2)) ((/.f64 (*.f64 1 (/.f64 707281/11664 (/.f64 (sqrt.f64 (fma.f64 x -841/108 4/29)) (*.f64 x x)))) (sqrt.f64 (fma.f64 x -841/108 4/29))) (2)) ((/.f64 (*.f64 1 (/.f64 707281/11664 (/.f64 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(((-.f64 (exp.f64 (log1p.f64 (/.f64 707281/11664 (fma.f64 x -841/108 4/29)))) 1) (2)) ((*.f64 707281/11664 (/.f64 1 (fma.f64 x -841/108 4/29))) (2)) ((*.f64 (/.f64 707281/11664 (fma.f64 x -841/108 4/29)) 1) (2)) ((*.f64 1 (/.f64 707281/11664 (fma.f64 x -841/108 4/29))) (2)) ((*.f64 (/.f64 841/108 (sqrt.f64 (fma.f64 x -841/108 4/29))) (/.f64 841/108 (sqrt.f64 (fma.f64 x -841/108 4/29)))) (2)) ((*.f64 (cbrt.f64 (/.f64 707281/11664 (fma.f64 x -841/108 4/29))) (pow.f64 (cbrt.f64 (/.f64 707281/11664 (fma.f64 x -841/108 4/29))) 2)) (2)) ((*.f64 (pow.f64 (cbrt.f64 (/.f64 707281/11664 (fma.f64 x -841/108 4/29))) 2) (cbrt.f64 (/.f64 707281/11664 (fma.f64 x -841/108 4/29)))) (2)) ((*.f64 (/.f64 1 (fma.f64 x -841/108 4/29)) 707281/11664) (2)) ((*.f64 -707281/11664 (/.f64 -1 (fma.f64 x -841/108 4/29))) (2)) ((*.f64 (/.f64 707281/11664 (-.f64 16/841 (*.f64 707281/11664 (*.f64 x x)))) (+.f64 4/29 (*.f64 841/108 x))) (2)) ((*.f64 (/.f64 707281/11664 (+.f64 64/24389 (*.f64 (pow.f64 x 3) -594823321/1259712))) (+.f64 (*.f64 707281/11664 (*.f64 x x)) (-.f64 16/841 (*.f64 -29/27 x)))) (2)) ((pow.f64 (/.f64 707281/11664 (fma.f64 x -841/108 4/29)) 1) (2)) ((pow.f64 (/.f64 841/108 (sqrt.f64 (fma.f64 x -841/108 4/29))) 2) (2)) ((pow.f64 (cbrt.f64 (/.f64 707281/11664 (fma.f64 x -841/108 4/29))) 3) (2)) ((pow.f64 (pow.f64 (/.f64 707281/11664 (fma.f64 x -841/108 4/29)) 3) 1/3) (2)) ((pow.f64 (*.f64 (fma.f64 x -841/108 4/29) 11664/707281) -1) (2)) ((sqrt.f64 (/.f64 500246412961/136048896 (pow.f64 (fma.f64 x -841/108 4/29) 2))) (2)) ((log.f64 (exp.f64 (/.f64 707281/11664 (fma.f64 x -841/108 4/29)))) (2)) ((log.f64 (+.f64 1 (expm1.f64 (/.f64 707281/11664 (fma.f64 x -841/108 4/29))))) (2)) ((cbrt.f64 (pow.f64 (/.f64 707281/11664 (fma.f64 x -841/108 4/29)) 3)) (2)) ((expm1.f64 (log1p.f64 (/.f64 707281/11664 (fma.f64 x -841/108 4/29)))) (2)) ((exp.f64 (log.f64 (/.f64 707281/11664 (fma.f64 x -841/108 4/29)))) (2)) ((exp.f64 (*.f64 (log.f64 (/.f64 707281/11664 (fma.f64 x -841/108 4/29))) 1)) (2)) ((log1p.f64 (expm1.f64 (/.f64 707281/11664 (fma.f64 x -841/108 4/29)))) (2)))
(((-.f64 (exp.f64 (log1p.f64 (*.f64 x -841/108))) 1) (2)) ((pow.f64 (*.f64 x -841/108) 1) (2)) ((pow.f64 (sqrt.f64 (*.f64 x -841/108)) 2) (2)) ((pow.f64 (cbrt.f64 (*.f64 x -841/108)) 3) (2)) ((pow.f64 (*.f64 (pow.f64 x 3) -594823321/1259712) 1/3) (2)) ((sqrt.f64 (*.f64 707281/11664 (*.f64 x x))) (2)) ((log.f64 (pow.f64 (exp.f64 -841/108) x)) (2)) ((log.f64 (+.f64 1 (expm1.f64 (*.f64 x -841/108)))) (2)) ((cbrt.f64 (*.f64 (pow.f64 x 3) -594823321/1259712)) (2)) ((expm1.f64 (log1p.f64 (*.f64 x -841/108))) (2)) ((exp.f64 (log.f64 (*.f64 x -841/108))) (2)) ((exp.f64 (*.f64 (log.f64 (*.f64 x -841/108)) 1)) (2)) ((log1p.f64 (expm1.f64 (*.f64 x -841/108))) (2)))

simplify177.0ms (2.9%)

Algorithm
egg-herbie
Rules
1622×associate-/l*
684×associate-*r*
654×associate-*l*
642×times-frac
604×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
05567474
114797108
276987108
Stop Event
node limit
Counts
244 → 320
Calls
Call 1
Inputs
(*.f64 20511149/46656 (pow.f64 x 2))
(+.f64 (*.f64 20511149/46656 (pow.f64 x 2)) (*.f64 500246412961/20155392 (pow.f64 x 3)))
(+.f64 (*.f64 20511149/46656 (pow.f64 x 2)) (+.f64 (*.f64 500246412961/20155392 (pow.f64 x 3)) (*.f64 12200509765705829/8707129344 (pow.f64 x 4))))
(+.f64 (*.f64 20511149/46656 (pow.f64 x 2)) (+.f64 (*.f64 500246412961/20155392 (pow.f64 x 3)) (+.f64 (*.f64 297558232675799463481/3761479876608 (pow.f64 x 5)) (*.f64 12200509765705829/8707129344 (pow.f64 x 4)))))
(*.f64 -841/108 x)
(-.f64 (*.f64 -841/108 x) 4/29)
(-.f64 (*.f64 -841/108 x) (+.f64 4/29 (*.f64 1728/707281 (/.f64 1 x))))
(-.f64 (*.f64 -841/108 x) (+.f64 4/29 (+.f64 (*.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (*.f64 1728/707281 (/.f64 1 x)))))
(*.f64 -841/108 x)
(-.f64 (*.f64 -841/108 x) 4/29)
(-.f64 (*.f64 -841/108 x) (+.f64 4/29 (*.f64 1728/707281 (/.f64 1 x))))
(-.f64 (*.f64 -841/108 x) (+.f64 4/29 (+.f64 (*.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (*.f64 1728/707281 (/.f64 1 x)))))
4/29
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (+.f64 (*.f64 841/108 x) (*.f64 20511149/46656 (pow.f64 x 2))))
(+.f64 4/29 (+.f64 (*.f64 841/108 x) (+.f64 (*.f64 20511149/46656 (pow.f64 x 2)) (*.f64 500246412961/20155392 (pow.f64 x 3)))))
(/.f64 -1728/707281 x)
(neg.f64 (+.f64 (*.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (*.f64 1728/707281 (/.f64 1 x))))
(neg.f64 (+.f64 (*.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1728/707281 (/.f64 1 x)) (*.f64 322486272/420707233300201 (/.f64 1 (pow.f64 x 3))))))
(neg.f64 (+.f64 (*.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 139314069504/10260628712958602189 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 1728/707281 (/.f64 1 x)) (*.f64 322486272/420707233300201 (/.f64 1 (pow.f64 x 3)))))))
(/.f64 -1728/707281 x)
(neg.f64 (+.f64 (*.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (*.f64 1728/707281 (/.f64 1 x))))
(neg.f64 (+.f64 (*.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1728/707281 (/.f64 1 x)) (*.f64 322486272/420707233300201 (/.f64 1 (pow.f64 x 3))))))
(neg.f64 (+.f64 (*.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 139314069504/10260628712958602189 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 1728/707281 (/.f64 1 x)) (*.f64 322486272/420707233300201 (/.f64 1 (pow.f64 x 3)))))))
20511149/46656
(+.f64 20511149/46656 (*.f64 500246412961/20155392 x))
(+.f64 (*.f64 12200509765705829/8707129344 (pow.f64 x 2)) (+.f64 20511149/46656 (*.f64 500246412961/20155392 x)))
(+.f64 (*.f64 12200509765705829/8707129344 (pow.f64 x 2)) (+.f64 20511149/46656 (+.f64 (*.f64 297558232675799463481/3761479876608 (pow.f64 x 3)) (*.f64 500246412961/20155392 x))))
(/.f64 -841/108 x)
(neg.f64 (+.f64 (*.f64 4/29 (/.f64 1 (pow.f64 x 2))) (*.f64 841/108 (/.f64 1 x))))
(neg.f64 (+.f64 (*.f64 1728/707281 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 4/29 (/.f64 1 (pow.f64 x 2))) (*.f64 841/108 (/.f64 1 x)))))
(neg.f64 (+.f64 (*.f64 4/29 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1728/707281 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 841/108 (/.f64 1 x)) (*.f64 746496/17249876309 (/.f64 1 (pow.f64 x 4)))))))
(/.f64 -841/108 x)
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(neg.f64 (+.f64 (*.f64 1728/707281 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 4/29 (/.f64 1 (pow.f64 x 2))) (*.f64 841/108 (/.f64 1 x)))))
(neg.f64 (+.f64 (*.f64 4/29 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1728/707281 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 841/108 (/.f64 1 x)) (*.f64 746496/17249876309 (/.f64 1 (pow.f64 x 4)))))))
(*.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 (exp.f64 (log1p.f64 (*.f64 707281/11664 (/.f64 (*.f64 x x) (fma.f64 x -841/108 4/29))))) 1)
(/.f64 707281/11664 (/.f64 (fma.f64 x -841/108 4/29) (*.f64 x x)))
(/.f64 x (/.f64 (*.f64 (fma.f64 x -841/108 4/29) 11664/707281) x))
(/.f64 x (/.f64 (fma.f64 x -841/108 4/29) (*.f64 -841/108 (*.f64 x -841/108))))
(/.f64 -841/108 (/.f64 (fma.f64 x -841/108 4/29) (*.f64 x (*.f64 x -841/108))))
(/.f64 (*.f64 x -841/108) (/.f64 (fma.f64 x -841/108 4/29) (*.f64 x -841/108)))
(/.f64 (*.f64 x x) (*.f64 (fma.f64 x -841/108 4/29) 11664/707281))
(/.f64 (*.f64 707281/11664 (/.f64 (*.f64 x x) (fma.f64 x -841/108 4/29))) 1)
(/.f64 1 (/.f64 (fma.f64 x -841/108 4/29) (*.f64 707281/11664 (*.f64 x x))))
(/.f64 (sqrt.f64 x) (/.f64 (*.f64 (fma.f64 x -841/108 4/29) 11664/707281) (*.f64 (sqrt.f64 x) x)))
(/.f64 (sqrt.f64 (*.f64 x -841/108)) (/.f64 (fma.f64 x -841/108 4/29) (*.f64 (sqrt.f64 (*.f64 x -841/108)) (*.f64 x -841/108))))
(/.f64 (cbrt.f64 (*.f64 x x)) (/.f64 (*.f64 (fma.f64 x -841/108 4/29) 11664/707281) (cbrt.f64 (pow.f64 x 4))))
(/.f64 (cbrt.f64 (*.f64 x x)) (/.f64 (*.f64 (fma.f64 x -841/108 4/29) 11664/707281) (*.f64 (cbrt.f64 x) x)))
(/.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 (*.f64 (fma.f64 x -841/108 4/29) 11664/707281) (cbrt.f64 (*.f64 x x))))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 x -841/108)) 2) (/.f64 (fma.f64 x -841/108 4/29) (*.f64 (cbrt.f64 (*.f64 x -841/108)) (*.f64 x -841/108))))
(/.f64 (*.f64 707281/11664 (*.f64 x x)) (fma.f64 x -841/108 4/29))
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(/.f64 -707281/11664 (/.f64 (-.f64 -4/29 (*.f64 x -841/108)) (*.f64 x x)))
(/.f64 (*.f64 x (sqrt.f64 x)) (/.f64 (*.f64 (fma.f64 x -841/108 4/29) 11664/707281) (sqrt.f64 x)))
(/.f64 (*.f64 (*.f64 x -841/108) (sqrt.f64 (*.f64 x -841/108))) (/.f64 (fma.f64 x -841/108 4/29) (sqrt.f64 (*.f64 x -841/108))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x -841/108)) 2) (pow.f64 (cbrt.f64 (*.f64 x -841/108)) 2)) (/.f64 (fma.f64 x -841/108 4/29) (pow.f64 (cbrt.f64 (*.f64 x -841/108)) 2)))
(/.f64 (*.f64 x (cbrt.f64 (*.f64 x x))) (/.f64 (*.f64 (fma.f64 x -841/108 4/29) 11664/707281) (cbrt.f64 x)))
(/.f64 (*.f64 (*.f64 707281/11664 (*.f64 x x)) 1) (fma.f64 x -841/108 4/29))
(/.f64 (/.f64 (*.f64 x x) (sqrt.f64 (*.f64 (fma.f64 x -841/108 4/29) 11664/707281))) (sqrt.f64 (*.f64 (fma.f64 x -841/108 4/29) 11664/707281)))
(/.f64 (*.f64 (*.f64 x -841/108) x) (/.f64 (fma.f64 x -841/108 4/29) -841/108))
(/.f64 (*.f64 (*.f64 x -841/108) -841/108) (/.f64 (fma.f64 x -841/108 4/29) x))
(/.f64 (*.f64 (*.f64 x -841/108) (pow.f64 (cbrt.f64 (*.f64 x -841/108)) 2)) (/.f64 (fma.f64 x -841/108 4/29) (cbrt.f64 (*.f64 x -841/108))))
(/.f64 (*.f64 707281/11664 x) (/.f64 (fma.f64 x -841/108 4/29) x))
(/.f64 (*.f64 707281/11664 (cbrt.f64 (pow.f64 x 4))) (/.f64 (fma.f64 x -841/108 4/29) (cbrt.f64 (*.f64 x x))))
(/.f64 (/.f64 (*.f64 x x) (fma.f64 x -841/108 4/29)) 11664/707281)
(/.f64 (*.f64 (*.f64 x x) -707281/11664) (-.f64 -4/29 (*.f64 x -841/108)))
(/.f64 (*.f64 -707281/11664 (*.f64 x x)) (-.f64 -4/29 (*.f64 x -841/108)))
(/.f64 (/.f64 (*.f64 x x) 11664/707281) (fma.f64 x -841/108 4/29))
(/.f64 (/.f64 707281/11664 (/.f64 (sqrt.f64 (fma.f64 x -841/108 4/29)) (*.f64 x x))) (sqrt.f64 (fma.f64 x -841/108 4/29)))
(/.f64 (/.f64 707281/11664 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x -841/108 4/29)) 2) (*.f64 x x))) (cbrt.f64 (fma.f64 x -841/108 4/29)))
(/.f64 (/.f64 707281/11664 (/.f64 (-.f64 16/841 (*.f64 707281/11664 (*.f64 x x))) (*.f64 x x))) (/.f64 1 (+.f64 4/29 (*.f64 841/108 x))))
(/.f64 (/.f64 707281/11664 (/.f64 (+.f64 64/24389 (*.f64 (pow.f64 x 3) -594823321/1259712)) (*.f64 x x))) (/.f64 1 (+.f64 (*.f64 707281/11664 (*.f64 x x)) (-.f64 16/841 (*.f64 -29/27 x)))))
(/.f64 (neg.f64 (*.f64 707281/11664 (*.f64 x x))) (-.f64 -4/29 (*.f64 x -841/108)))
(/.f64 (*.f64 x (*.f64 707281/11664 x)) (fma.f64 x -841/108 4/29))
(/.f64 (*.f64 x (*.f64 -707281/11664 x)) (-.f64 -4/29 (*.f64 x -841/108)))
(/.f64 (*.f64 (*.f64 x x) (/.f64 707281/11664 (sqrt.f64 (fma.f64 x -841/108 4/29)))) (sqrt.f64 (fma.f64 x -841/108 4/29)))
(/.f64 (*.f64 (*.f64 x x) (/.f64 707281/11664 (pow.f64 (cbrt.f64 (fma.f64 x -841/108 4/29)) 2))) (cbrt.f64 (fma.f64 x -841/108 4/29)))
(/.f64 (*.f64 (*.f64 x x) -1) (neg.f64 (*.f64 (fma.f64 x -841/108 4/29) 11664/707281)))
(/.f64 (*.f64 1 (*.f64 (*.f64 x x) -707281/11664)) (-.f64 -4/29 (*.f64 x -841/108)))
(/.f64 (*.f64 1 (*.f64 -707281/11664 (*.f64 x x))) (-.f64 -4/29 (*.f64 x -841/108)))
(/.f64 (*.f64 1 (/.f64 (*.f64 x x) 11664/707281)) (fma.f64 x -841/108 4/29))
(/.f64 (*.f64 1 (/.f64 707281/11664 (/.f64 (sqrt.f64 (fma.f64 x -841/108 4/29)) (*.f64 x x)))) (sqrt.f64 (fma.f64 x -841/108 4/29)))
(/.f64 (*.f64 1 (/.f64 707281/11664 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x -841/108 4/29)) 2) (*.f64 x x)))) (cbrt.f64 (fma.f64 x -841/108 4/29)))
(/.f64 (*.f64 1 (neg.f64 (*.f64 707281/11664 (*.f64 x x)))) (-.f64 -4/29 (*.f64 x -841/108)))
(/.f64 (*.f64 (/.f64 x (sqrt.f64 (*.f64 (fma.f64 x -841/108 4/29) 11664/707281))) (*.f64 x -841/108)) (sqrt.f64 (fma.f64 x -841/108 4/29)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 707281/11664 (/.f64 (*.f64 x x) (fma.f64 x -841/108 4/29)))) 2) (pow.f64 (cbrt.f64 (*.f64 x -841/108)) 2)) (cbrt.f64 (fma.f64 x -841/108 4/29)))
(/.f64 (*.f64 (*.f64 707281/11664 (*.f64 x x)) (/.f64 1 (sqrt.f64 (fma.f64 x -841/108 4/29)))) (sqrt.f64 (fma.f64 x -841/108 4/29)))
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(log.f64 (exp.f64 (/.f64 707281/11664 (fma.f64 x -841/108 4/29))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 707281/11664 (fma.f64 x -841/108 4/29)))))
(cbrt.f64 (pow.f64 (/.f64 707281/11664 (fma.f64 x -841/108 4/29)) 3))
(expm1.f64 (log1p.f64 (/.f64 707281/11664 (fma.f64 x -841/108 4/29))))
(exp.f64 (log.f64 (/.f64 707281/11664 (fma.f64 x -841/108 4/29))))
(exp.f64 (*.f64 (log.f64 (/.f64 707281/11664 (fma.f64 x -841/108 4/29))) 1))
(log1p.f64 (expm1.f64 (/.f64 707281/11664 (fma.f64 x -841/108 4/29))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x -841/108))) 1)
(pow.f64 (*.f64 x -841/108) 1)
(pow.f64 (sqrt.f64 (*.f64 x -841/108)) 2)
(pow.f64 (cbrt.f64 (*.f64 x -841/108)) 3)
(pow.f64 (*.f64 (pow.f64 x 3) -594823321/1259712) 1/3)
(sqrt.f64 (*.f64 707281/11664 (*.f64 x x)))
(log.f64 (pow.f64 (exp.f64 -841/108) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x -841/108))))
(cbrt.f64 (*.f64 (pow.f64 x 3) -594823321/1259712))
(expm1.f64 (log1p.f64 (*.f64 x -841/108)))
(exp.f64 (log.f64 (*.f64 x -841/108)))
(exp.f64 (*.f64 (log.f64 (*.f64 x -841/108)) 1))
(log1p.f64 (expm1.f64 (*.f64 x -841/108)))
Outputs
(*.f64 20511149/46656 (pow.f64 x 2))
(*.f64 20511149/46656 (*.f64 x x))
(+.f64 (*.f64 20511149/46656 (pow.f64 x 2)) (*.f64 500246412961/20155392 (pow.f64 x 3)))
(fma.f64 20511149/46656 (*.f64 x x) (*.f64 500246412961/20155392 (pow.f64 x 3)))
(fma.f64 500246412961/20155392 (pow.f64 x 3) (*.f64 20511149/46656 (*.f64 x x)))
(+.f64 (*.f64 20511149/46656 (pow.f64 x 2)) (+.f64 (*.f64 500246412961/20155392 (pow.f64 x 3)) (*.f64 12200509765705829/8707129344 (pow.f64 x 4))))
(fma.f64 20511149/46656 (*.f64 x x) (fma.f64 500246412961/20155392 (pow.f64 x 3) (*.f64 12200509765705829/8707129344 (pow.f64 x 4))))
(+.f64 (*.f64 20511149/46656 (pow.f64 x 2)) (+.f64 (*.f64 500246412961/20155392 (pow.f64 x 3)) (+.f64 (*.f64 297558232675799463481/3761479876608 (pow.f64 x 5)) (*.f64 12200509765705829/8707129344 (pow.f64 x 4)))))
(fma.f64 20511149/46656 (*.f64 x x) (fma.f64 500246412961/20155392 (pow.f64 x 3) (fma.f64 297558232675799463481/3761479876608 (pow.f64 x 5) (*.f64 12200509765705829/8707129344 (pow.f64 x 4)))))
(fma.f64 20511149/46656 (*.f64 x x) (fma.f64 500246412961/20155392 (pow.f64 x 3) (fma.f64 12200509765705829/8707129344 (pow.f64 x 4) (*.f64 297558232675799463481/3761479876608 (pow.f64 x 5)))))
(*.f64 -841/108 x)
(*.f64 x -841/108)
(-.f64 (*.f64 -841/108 x) 4/29)
(fma.f64 -841/108 x -4/29)
(fma.f64 x -841/108 -4/29)
(-.f64 (*.f64 -841/108 x) (+.f64 4/29 (*.f64 1728/707281 (/.f64 1 x))))
(-.f64 (fma.f64 -841/108 x -4/29) (/.f64 1728/707281 x))
(+.f64 (fma.f64 x -841/108 -4/29) (/.f64 -1728/707281 x))
(-.f64 (*.f64 -841/108 x) (+.f64 4/29 (+.f64 (*.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (*.f64 1728/707281 (/.f64 1 x)))))
(-.f64 (fma.f64 -841/108 x -4/29) (+.f64 (/.f64 1728/707281 x) (/.f64 746496/17249876309 (*.f64 x x))))
(+.f64 (fma.f64 x -841/108 -4/29) (+.f64 (/.f64 -746496/17249876309 (*.f64 x x)) (/.f64 -1728/707281 x)))
(+.f64 (+.f64 (fma.f64 x -841/108 -4/29) (/.f64 -1728/707281 x)) (/.f64 -746496/17249876309 (*.f64 x x)))
(*.f64 -841/108 x)
(*.f64 x -841/108)
(-.f64 (*.f64 -841/108 x) 4/29)
(fma.f64 -841/108 x -4/29)
(fma.f64 x -841/108 -4/29)
(-.f64 (*.f64 -841/108 x) (+.f64 4/29 (*.f64 1728/707281 (/.f64 1 x))))
(-.f64 (fma.f64 -841/108 x -4/29) (/.f64 1728/707281 x))
(+.f64 (fma.f64 x -841/108 -4/29) (/.f64 -1728/707281 x))
(-.f64 (*.f64 -841/108 x) (+.f64 4/29 (+.f64 (*.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (*.f64 1728/707281 (/.f64 1 x)))))
(-.f64 (fma.f64 -841/108 x -4/29) (+.f64 (/.f64 1728/707281 x) (/.f64 746496/17249876309 (*.f64 x x))))
(+.f64 (fma.f64 x -841/108 -4/29) (+.f64 (/.f64 -746496/17249876309 (*.f64 x x)) (/.f64 -1728/707281 x)))
(+.f64 (+.f64 (fma.f64 x -841/108 -4/29) (/.f64 -1728/707281 x)) (/.f64 -746496/17249876309 (*.f64 x x)))
4/29
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 x 841/108))
(fma.f64 x 841/108 4/29)
(+.f64 4/29 (+.f64 (*.f64 841/108 x) (*.f64 20511149/46656 (pow.f64 x 2))))
(+.f64 4/29 (fma.f64 841/108 x (*.f64 20511149/46656 (*.f64 x x))))
(+.f64 (*.f64 20511149/46656 (*.f64 x x)) (fma.f64 x 841/108 4/29))
(+.f64 4/29 (+.f64 (*.f64 841/108 x) (+.f64 (*.f64 20511149/46656 (pow.f64 x 2)) (*.f64 500246412961/20155392 (pow.f64 x 3)))))
(+.f64 4/29 (fma.f64 841/108 x (fma.f64 20511149/46656 (*.f64 x x) (*.f64 500246412961/20155392 (pow.f64 x 3)))))
(+.f64 (fma.f64 500246412961/20155392 (pow.f64 x 3) (*.f64 20511149/46656 (*.f64 x x))) (fma.f64 x 841/108 4/29))
(/.f64 -1728/707281 x)
(neg.f64 (+.f64 (*.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (*.f64 1728/707281 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1728/707281 x) (/.f64 746496/17249876309 (*.f64 x x))))
(+.f64 (/.f64 -746496/17249876309 (*.f64 x x)) (/.f64 -1728/707281 x))
(neg.f64 (+.f64 (*.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1728/707281 (/.f64 1 x)) (*.f64 322486272/420707233300201 (/.f64 1 (pow.f64 x 3))))))
(neg.f64 (+.f64 (/.f64 746496/17249876309 (*.f64 x x)) (+.f64 (/.f64 1728/707281 x) (/.f64 322486272/420707233300201 (pow.f64 x 3)))))
(-.f64 (+.f64 (/.f64 -746496/17249876309 (*.f64 x x)) (/.f64 -1728/707281 x)) (/.f64 322486272/420707233300201 (pow.f64 x 3)))
(neg.f64 (+.f64 (*.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 139314069504/10260628712958602189 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 1728/707281 (/.f64 1 x)) (*.f64 322486272/420707233300201 (/.f64 1 (pow.f64 x 3)))))))
(neg.f64 (+.f64 (+.f64 (/.f64 746496/17249876309 (*.f64 x x)) (/.f64 139314069504/10260628712958602189 (pow.f64 x 4))) (+.f64 (/.f64 1728/707281 x) (/.f64 322486272/420707233300201 (pow.f64 x 3)))))
(-.f64 (/.f64 -746496/17249876309 (*.f64 x x)) (+.f64 (/.f64 1728/707281 x) (+.f64 (/.f64 322486272/420707233300201 (pow.f64 x 3)) (/.f64 139314069504/10260628712958602189 (pow.f64 x 4)))))
(/.f64 -1728/707281 x)
(neg.f64 (+.f64 (*.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (*.f64 1728/707281 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1728/707281 x) (/.f64 746496/17249876309 (*.f64 x x))))
(+.f64 (/.f64 -746496/17249876309 (*.f64 x x)) (/.f64 -1728/707281 x))
(neg.f64 (+.f64 (*.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1728/707281 (/.f64 1 x)) (*.f64 322486272/420707233300201 (/.f64 1 (pow.f64 x 3))))))
(neg.f64 (+.f64 (/.f64 746496/17249876309 (*.f64 x x)) (+.f64 (/.f64 1728/707281 x) (/.f64 322486272/420707233300201 (pow.f64 x 3)))))
(-.f64 (+.f64 (/.f64 -746496/17249876309 (*.f64 x x)) (/.f64 -1728/707281 x)) (/.f64 322486272/420707233300201 (pow.f64 x 3)))
(neg.f64 (+.f64 (*.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 139314069504/10260628712958602189 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 1728/707281 (/.f64 1 x)) (*.f64 322486272/420707233300201 (/.f64 1 (pow.f64 x 3)))))))
(neg.f64 (+.f64 (+.f64 (/.f64 746496/17249876309 (*.f64 x x)) (/.f64 139314069504/10260628712958602189 (pow.f64 x 4))) (+.f64 (/.f64 1728/707281 x) (/.f64 322486272/420707233300201 (pow.f64 x 3)))))
(-.f64 (/.f64 -746496/17249876309 (*.f64 x x)) (+.f64 (/.f64 1728/707281 x) (+.f64 (/.f64 322486272/420707233300201 (pow.f64 x 3)) (/.f64 139314069504/10260628712958602189 (pow.f64 x 4)))))
20511149/46656
(+.f64 20511149/46656 (*.f64 500246412961/20155392 x))
(+.f64 20511149/46656 (*.f64 x 500246412961/20155392))
(fma.f64 x 500246412961/20155392 20511149/46656)
(+.f64 (*.f64 12200509765705829/8707129344 (pow.f64 x 2)) (+.f64 20511149/46656 (*.f64 500246412961/20155392 x)))
(fma.f64 12200509765705829/8707129344 (*.f64 x x) (+.f64 20511149/46656 (*.f64 x 500246412961/20155392)))
(fma.f64 12200509765705829/8707129344 (*.f64 x x) (fma.f64 x 500246412961/20155392 20511149/46656))
(+.f64 (*.f64 12200509765705829/8707129344 (pow.f64 x 2)) (+.f64 20511149/46656 (+.f64 (*.f64 297558232675799463481/3761479876608 (pow.f64 x 3)) (*.f64 500246412961/20155392 x))))
(fma.f64 12200509765705829/8707129344 (*.f64 x x) (+.f64 20511149/46656 (fma.f64 297558232675799463481/3761479876608 (pow.f64 x 3) (*.f64 x 500246412961/20155392))))
(+.f64 (fma.f64 12200509765705829/8707129344 (*.f64 x x) (fma.f64 x 500246412961/20155392 20511149/46656)) (*.f64 (pow.f64 x 3) 297558232675799463481/3761479876608))
(/.f64 -841/108 x)
(neg.f64 (+.f64 (*.f64 4/29 (/.f64 1 (pow.f64 x 2))) (*.f64 841/108 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 4/29 (*.f64 x x)) (/.f64 841/108 x)))
(+.f64 (/.f64 -4/29 (*.f64 x x)) (/.f64 -841/108 x))
(neg.f64 (+.f64 (*.f64 1728/707281 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 4/29 (/.f64 1 (pow.f64 x 2))) (*.f64 841/108 (/.f64 1 x)))))
(neg.f64 (+.f64 (+.f64 (/.f64 4/29 (*.f64 x x)) (/.f64 841/108 x)) (/.f64 1728/707281 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 -4/29 (*.f64 x x)) (/.f64 -841/108 x)) (/.f64 -1728/707281 (pow.f64 x 3)))
(neg.f64 (+.f64 (*.f64 4/29 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1728/707281 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 841/108 (/.f64 1 x)) (*.f64 746496/17249876309 (/.f64 1 (pow.f64 x 4)))))))
(neg.f64 (+.f64 (/.f64 4/29 (*.f64 x x)) (+.f64 (/.f64 1728/707281 (pow.f64 x 3)) (+.f64 (/.f64 841/108 x) (/.f64 746496/17249876309 (pow.f64 x 4))))))
(-.f64 (/.f64 -4/29 (*.f64 x x)) (+.f64 (/.f64 841/108 x) (+.f64 (/.f64 746496/17249876309 (pow.f64 x 4)) (/.f64 1728/707281 (pow.f64 x 3)))))
(-.f64 (/.f64 -4/29 (*.f64 x x)) (+.f64 (/.f64 841/108 x) (+.f64 (/.f64 1728/707281 (pow.f64 x 3)) (/.f64 746496/17249876309 (pow.f64 x 4)))))
(/.f64 -841/108 x)
(neg.f64 (+.f64 (*.f64 4/29 (/.f64 1 (pow.f64 x 2))) (*.f64 841/108 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 4/29 (*.f64 x x)) (/.f64 841/108 x)))
(+.f64 (/.f64 -4/29 (*.f64 x x)) (/.f64 -841/108 x))
(neg.f64 (+.f64 (*.f64 1728/707281 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 4/29 (/.f64 1 (pow.f64 x 2))) (*.f64 841/108 (/.f64 1 x)))))
(neg.f64 (+.f64 (+.f64 (/.f64 4/29 (*.f64 x x)) (/.f64 841/108 x)) (/.f64 1728/707281 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 -4/29 (*.f64 x x)) (/.f64 -841/108 x)) (/.f64 -1728/707281 (pow.f64 x 3)))
(neg.f64 (+.f64 (*.f64 4/29 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1728/707281 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 841/108 (/.f64 1 x)) (*.f64 746496/17249876309 (/.f64 1 (pow.f64 x 4)))))))
(neg.f64 (+.f64 (/.f64 4/29 (*.f64 x x)) (+.f64 (/.f64 1728/707281 (pow.f64 x 3)) (+.f64 (/.f64 841/108 x) (/.f64 746496/17249876309 (pow.f64 x 4))))))
(-.f64 (/.f64 -4/29 (*.f64 x x)) (+.f64 (/.f64 841/108 x) (+.f64 (/.f64 746496/17249876309 (pow.f64 x 4)) (/.f64 1728/707281 (pow.f64 x 3)))))
(-.f64 (/.f64 -4/29 (*.f64 x x)) (+.f64 (/.f64 841/108 x) (+.f64 (/.f64 1728/707281 (pow.f64 x 3)) (/.f64 746496/17249876309 (pow.f64 x 4)))))
(*.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 -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 -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 (exp.f64 (log1p.f64 (*.f64 707281/11664 (/.f64 (*.f64 x x) (fma.f64 x -841/108 4/29))))) 1)
(/.f64 (*.f64 x (*.f64 x 707281/11664)) (fma.f64 x -841/108 4/29))
(*.f64 (*.f64 (/.f64 707281/11664 (fma.f64 x -841/108 4/29)) x) x)
(/.f64 707281/11664 (/.f64 (fma.f64 x -841/108 4/29) (*.f64 x x)))
(/.f64 (*.f64 x (*.f64 x 707281/11664)) (fma.f64 x -841/108 4/29))
(*.f64 (*.f64 (/.f64 707281/11664 (fma.f64 x -841/108 4/29)) x) x)
(/.f64 x (/.f64 (*.f64 (fma.f64 x -841/108 4/29) 11664/707281) x))
(/.f64 (*.f64 x (*.f64 x 707281/11664)) (fma.f64 x -841/108 4/29))
(*.f64 (*.f64 (/.f64 707281/11664 (fma.f64 x -841/108 4/29)) x) x)
(/.f64 x (/.f64 (fma.f64 x -841/108 4/29) (*.f64 -841/108 (*.f64 x -841/108))))
(/.f64 (*.f64 x (*.f64 x 707281/11664)) (fma.f64 x -841/108 4/29))
(*.f64 (*.f64 (/.f64 707281/11664 (fma.f64 x -841/108 4/29)) x) x)
(/.f64 -841/108 (/.f64 (fma.f64 x -841/108 4/29) (*.f64 x (*.f64 x -841/108))))
(/.f64 (*.f64 x (*.f64 x 707281/11664)) (fma.f64 x -841/108 4/29))
(*.f64 (*.f64 (/.f64 707281/11664 (fma.f64 x -841/108 4/29)) x) x)
(/.f64 (*.f64 x -841/108) (/.f64 (fma.f64 x -841/108 4/29) (*.f64 x -841/108)))
(/.f64 (*.f64 x (*.f64 x 707281/11664)) (fma.f64 x -841/108 4/29))
(*.f64 (*.f64 (/.f64 707281/11664 (fma.f64 x -841/108 4/29)) x) x)
(/.f64 (*.f64 x x) (*.f64 (fma.f64 x -841/108 4/29) 11664/707281))
(/.f64 (*.f64 x (*.f64 x 707281/11664)) (fma.f64 x -841/108 4/29))
(*.f64 (*.f64 (/.f64 707281/11664 (fma.f64 x -841/108 4/29)) x) x)
(/.f64 (*.f64 707281/11664 (/.f64 (*.f64 x x) (fma.f64 x -841/108 4/29))) 1)
(/.f64 (*.f64 x (*.f64 x 707281/11664)) (fma.f64 x -841/108 4/29))
(*.f64 (*.f64 (/.f64 707281/11664 (fma.f64 x -841/108 4/29)) x) x)
(/.f64 1 (/.f64 (fma.f64 x -841/108 4/29) (*.f64 707281/11664 (*.f64 x x))))
(/.f64 (*.f64 x (*.f64 x 707281/11664)) (fma.f64 x -841/108 4/29))
(*.f64 (*.f64 (/.f64 707281/11664 (fma.f64 x -841/108 4/29)) x) x)
(/.f64 (sqrt.f64 x) (/.f64 (*.f64 (fma.f64 x -841/108 4/29) 11664/707281) (*.f64 (sqrt.f64 x) x)))
(*.f64 (/.f64 (sqrt.f64 x) (*.f64 (fma.f64 x -841/108 4/29) 11664/707281)) (*.f64 x (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (*.f64 (/.f64 (sqrt.f64 x) 11664/707281) (/.f64 x (fma.f64 x -841/108 4/29))))
(/.f64 (sqrt.f64 (*.f64 x -841/108)) (/.f64 (fma.f64 x -841/108 4/29) (*.f64 (sqrt.f64 (*.f64 x -841/108)) (*.f64 x -841/108))))
(/.f64 (*.f64 x (*.f64 x 707281/11664)) (fma.f64 x -841/108 4/29))
(*.f64 (*.f64 (/.f64 707281/11664 (fma.f64 x -841/108 4/29)) x) x)
(/.f64 (cbrt.f64 (*.f64 x x)) (/.f64 (*.f64 (fma.f64 x -841/108 4/29) 11664/707281) (cbrt.f64 (pow.f64 x 4))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (fma.f64 x -841/108 4/29) 11664/707281)) (cbrt.f64 (pow.f64 x 4)))
(*.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (fma.f64 x -841/108 4/29) 11664/707281)))
(/.f64 (cbrt.f64 (*.f64 x x)) (/.f64 (*.f64 (fma.f64 x -841/108 4/29) 11664/707281) (*.f64 (cbrt.f64 x) x)))
(/.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (/.f64 (fma.f64 x -841/108 4/29) (cbrt.f64 x)) (/.f64 11664/707281 x)))
(*.f64 (cbrt.f64 x) (/.f64 x (/.f64 (*.f64 (fma.f64 x -841/108 4/29) 11664/707281) (cbrt.f64 (*.f64 x x)))))
(/.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 (*.f64 (fma.f64 x -841/108 4/29) 11664/707281) (cbrt.f64 (*.f64 x x))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (fma.f64 x -841/108 4/29) 11664/707281)) (cbrt.f64 (*.f64 x x)))
(*.f64 (cbrt.f64 (*.f64 x x)) (/.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (fma.f64 x -841/108 4/29) 11664/707281)))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 x -841/108)) 2) (/.f64 (fma.f64 x -841/108 4/29) (*.f64 (cbrt.f64 (*.f64 x -841/108)) (*.f64 x -841/108))))
(/.f64 (*.f64 x (*.f64 x 707281/11664)) (fma.f64 x -841/108 4/29))
(*.f64 (*.f64 (/.f64 707281/11664 (fma.f64 x -841/108 4/29)) x) x)
(/.f64 (*.f64 707281/11664 (*.f64 x x)) (fma.f64 x -841/108 4/29))
(/.f64 (*.f64 x (*.f64 x 707281/11664)) (fma.f64 x -841/108 4/29))
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(pow.f64 (pow.f64 (/.f64 707281/11664 (fma.f64 x -841/108 4/29)) 3) 1/3)
(/.f64 707281/11664 (fma.f64 x -841/108 4/29))
(pow.f64 (*.f64 (fma.f64 x -841/108 4/29) 11664/707281) -1)
(/.f64 707281/11664 (fma.f64 x -841/108 4/29))
(sqrt.f64 (/.f64 500246412961/136048896 (pow.f64 (fma.f64 x -841/108 4/29) 2)))
(log.f64 (exp.f64 (/.f64 707281/11664 (fma.f64 x -841/108 4/29))))
(/.f64 707281/11664 (fma.f64 x -841/108 4/29))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 707281/11664 (fma.f64 x -841/108 4/29)))))
(/.f64 707281/11664 (fma.f64 x -841/108 4/29))
(cbrt.f64 (pow.f64 (/.f64 707281/11664 (fma.f64 x -841/108 4/29)) 3))
(/.f64 707281/11664 (fma.f64 x -841/108 4/29))
(expm1.f64 (log1p.f64 (/.f64 707281/11664 (fma.f64 x -841/108 4/29))))
(/.f64 707281/11664 (fma.f64 x -841/108 4/29))
(exp.f64 (log.f64 (/.f64 707281/11664 (fma.f64 x -841/108 4/29))))
(/.f64 707281/11664 (fma.f64 x -841/108 4/29))
(exp.f64 (*.f64 (log.f64 (/.f64 707281/11664 (fma.f64 x -841/108 4/29))) 1))
(/.f64 707281/11664 (fma.f64 x -841/108 4/29))
(log1p.f64 (expm1.f64 (/.f64 707281/11664 (fma.f64 x -841/108 4/29))))
(/.f64 707281/11664 (fma.f64 x -841/108 4/29))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x -841/108))) 1)
(*.f64 x -841/108)
(pow.f64 (*.f64 x -841/108) 1)
(*.f64 x -841/108)
(pow.f64 (sqrt.f64 (*.f64 x -841/108)) 2)
(*.f64 x -841/108)
(pow.f64 (cbrt.f64 (*.f64 x -841/108)) 3)
(*.f64 x -841/108)
(pow.f64 (*.f64 (pow.f64 x 3) -594823321/1259712) 1/3)
(cbrt.f64 (*.f64 (pow.f64 x 3) -594823321/1259712))
(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 x -841/108)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x -841/108))))
(*.f64 x -841/108)
(cbrt.f64 (*.f64 (pow.f64 x 3) -594823321/1259712))
(expm1.f64 (log1p.f64 (*.f64 x -841/108)))
(*.f64 x -841/108)
(exp.f64 (log.f64 (*.f64 x -841/108)))
(*.f64 x -841/108)
(exp.f64 (*.f64 (log.f64 (*.f64 x -841/108)) 1))
(*.f64 x -841/108)
(log1p.f64 (expm1.f64 (*.f64 x -841/108)))
(*.f64 x -841/108)

localize44.0ms (0.7%)

Local Accuracy

Found 3 expressions with local accuracy:

NewAccuracyProgram
99.9%
(fma.f64 841/108 x 4/29)
99.8%
(/.f64 1 (fma.f64 841/108 x 4/29))
99.7%
(/.f64 1 (/.f64 1 (fma.f64 841/108 x 4/29)))
Compiler

Compiled 23 to 19 computations (17.4% saved)

series1.0ms (0%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
0.0ms
x
@-inf
(/.f64 1 (/.f64 1 (fma.f64 841/108 x 4/29)))
0.0ms
x
@inf
(/.f64 1 (fma.f64 841/108 x 4/29))
0.0ms
x
@0
(/.f64 1 (/.f64 1 (fma.f64 841/108 x 4/29)))
0.0ms
x
@-inf
(/.f64 1 (fma.f64 841/108 x 4/29))
0.0ms
x
@0
(/.f64 1 (fma.f64 841/108 x 4/29))

rewrite65.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
1616×add-sqr-sqrt
1582×*-un-lft-identity
1486×add-cube-cbrt
1474×add-cbrt-cube
168×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01033
120733
2207033
Stop Event
node limit
Counts
3 → 86
Calls
Call 1
Inputs
(/.f64 1 (/.f64 1 (fma.f64 841/108 x 4/29)))
(/.f64 1 (fma.f64 841/108 x 4/29))
(fma.f64 841/108 x 4/29)
Outputs
(((+.f64 4/29 (*.f64 841/108 x)) (2)) ((+.f64 (*.f64 841/108 x) 4/29) (2)) ((+.f64 (*.f64 (*.f64 841/108 x) 1) 4/29) (2)) ((-.f64 (exp.f64 (log1p.f64 (fma.f64 841/108 x 4/29))) 1) (2)) ((*.f64 1 (fma.f64 841/108 x 4/29)) (2)) ((*.f64 (fma.f64 841/108 x 4/29) 1) (2)) ((*.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) (sqrt.f64 (fma.f64 841/108 x 4/29))) (2)) ((*.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2)) (2)) ((*.f64 (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2) (cbrt.f64 (fma.f64 841/108 x 4/29))) (2)) ((*.f64 -1 (neg.f64 (fma.f64 841/108 x 4/29))) (2)) ((*.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)) (2)) ((*.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)) (2)) ((pow.f64 (fma.f64 841/108 x 4/29) 1) (2)) ((pow.f64 (/.f64 1 (fma.f64 841/108 x 4/29)) -1) (2)) ((pow.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) 2) (2)) ((pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 3) (2)) ((pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3) 1/3) (2)) ((sqrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 2)) (2)) ((log.f64 (exp.f64 (fma.f64 841/108 x 4/29))) (2)) ((log.f64 (+.f64 1 (expm1.f64 (fma.f64 841/108 x 4/29)))) (2)) ((cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3)) (2)) ((expm1.f64 (log1p.f64 (fma.f64 841/108 x 4/29))) (2)) ((exp.f64 (log.f64 (fma.f64 841/108 x 4/29))) (2)) ((exp.f64 (*.f64 (log.f64 (fma.f64 841/108 x 4/29)) 1)) (2)) ((exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 841/108 x 4/29))) -1)) (2)) ((log1p.f64 (expm1.f64 (fma.f64 841/108 x 4/29))) (2)) ((fma.f64 841/108 x 4/29) (2)))
(((-.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 841/108 x 4/29)))) 1) (2)) ((*.f64 1 (/.f64 1 (fma.f64 841/108 x 4/29))) (2)) ((*.f64 (/.f64 1 (fma.f64 841/108 x 4/29)) 1) (2)) ((*.f64 (pow.f64 (fma.f64 841/108 x 4/29) -1/2) (pow.f64 (fma.f64 841/108 x 4/29) -1/2)) (2)) ((*.f64 (/.f64 1 (cbrt.f64 (fma.f64 841/108 x 4/29))) (cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) -2))) (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)))) (2)) ((*.f64 -1 (/.f64 -1 (fma.f64 841/108 x 4/29))) (2)) ((*.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)) (2)) ((*.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)) (2)) ((pow.f64 (fma.f64 841/108 x 4/29) -1) (2)) ((pow.f64 (/.f64 1 (fma.f64 841/108 x 4/29)) 1) (2)) ((pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) -1/2) 2) (2)) ((pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 841/108 x 4/29))) 3) (2)) ((pow.f64 (pow.f64 (/.f64 1 (fma.f64 841/108 x 4/29)) 3) 1/3) (2)) ((sqrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) -2)) (2)) ((log.f64 (exp.f64 (/.f64 1 (fma.f64 841/108 x 4/29)))) (2)) ((log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 841/108 x 4/29))))) (2)) ((cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 841/108 x 4/29)) 3)) (2)) ((expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 841/108 x 4/29)))) (2)) ((exp.f64 (neg.f64 (log.f64 (fma.f64 841/108 x 4/29)))) (2)) ((exp.f64 (*.f64 (log.f64 (fma.f64 841/108 x 4/29)) -1)) (2)) ((exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 841/108 x 4/29))) 1)) (2)) ((log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 841/108 x 4/29)))) (2)))
(((+.f64 4/29 (*.f64 841/108 x)) (2)) ((+.f64 (*.f64 841/108 x) 4/29) (2)) ((+.f64 (*.f64 (*.f64 841/108 x) 1) 4/29) (2)) ((-.f64 (exp.f64 (log1p.f64 (fma.f64 841/108 x 4/29))) 1) (2)) ((*.f64 1 (fma.f64 841/108 x 4/29)) (2)) ((*.f64 (fma.f64 841/108 x 4/29) 1) (2)) ((*.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) (sqrt.f64 (fma.f64 841/108 x 4/29))) (2)) ((*.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2)) (2)) ((*.f64 (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2) (cbrt.f64 (fma.f64 841/108 x 4/29))) (2)) ((*.f64 -1 (neg.f64 (fma.f64 841/108 x 4/29))) (2)) ((*.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)) (2)) ((*.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)) (2)) ((/.f64 1 (/.f64 1 (fma.f64 841/108 x 4/29))) (2)) ((/.f64 1 (neg.f64 (/.f64 -1 (fma.f64 841/108 x 4/29)))) (2)) ((/.f64 (fma.f64 841/108 x 4/29) 1) (2)) ((/.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) (pow.f64 (fma.f64 841/108 x 4/29) -1/2)) (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)))) (2)) ((/.f64 -1 (/.f64 -1 (fma.f64 841/108 x 4/29))) (2)) ((/.f64 (neg.f64 (fma.f64 841/108 x 4/29)) -1) (2)) ((/.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)))) (2)) ((/.f64 (-.f64 (*.f64 (*.f64 841/108 x) (*.f64 841/108 x)) 16/841) (-.f64 (*.f64 841/108 x) 4/29)) (2)) ((/.f64 (+.f64 (pow.f64 (*.f64 841/108 x) 3) 64/24389) (+.f64 (*.f64 (*.f64 841/108 x) (*.f64 841/108 x)) (-.f64 16/841 (*.f64 (*.f64 841/108 x) 4/29)))) (2)) ((pow.f64 (fma.f64 841/108 x 4/29) 1) (2)) ((pow.f64 (/.f64 1 (fma.f64 841/108 x 4/29)) -1) (2)) ((pow.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) 2) (2)) ((pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 3) (2)) ((pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3) 1/3) (2)) ((sqrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 2)) (2)) ((log.f64 (exp.f64 (fma.f64 841/108 x 4/29))) (2)) ((log.f64 (+.f64 1 (expm1.f64 (fma.f64 841/108 x 4/29)))) (2)) ((cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3)) (2)) ((expm1.f64 (log1p.f64 (fma.f64 841/108 x 4/29))) (2)) ((exp.f64 (log.f64 (fma.f64 841/108 x 4/29))) (2)) ((exp.f64 (*.f64 (log.f64 (fma.f64 841/108 x 4/29)) 1)) (2)) ((exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 841/108 x 4/29))) -1)) (2)) ((log1p.f64 (expm1.f64 (fma.f64 841/108 x 4/29))) (2)))

simplify112.0ms (1.8%)

Algorithm
egg-herbie
Rules
1494×associate-+r+
1044×associate-*r/
782×associate-/r*
626×associate-*l/
570×associate-/l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01571752
13801664
215831654
369501654
Stop Event
node limit
Counts
122 → 95
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))
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))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 (*.f64 841/108 x) 4/29)
(+.f64 (*.f64 (*.f64 841/108 x) 1) 4/29)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 841/108 x 4/29))) 1)
(*.f64 1 (fma.f64 841/108 x 4/29))
(*.f64 (fma.f64 841/108 x 4/29) 1)
(*.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) (sqrt.f64 (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 -1 (neg.f64 (fma.f64 841/108 x 4/29)))
(*.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 (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))
(pow.f64 (fma.f64 841/108 x 4/29) 1)
(pow.f64 (/.f64 1 (fma.f64 841/108 x 4/29)) -1)
(pow.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) 2)
(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)
(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 (neg.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)
(-.f64 (exp.f64 (log1p.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 (fma.f64 841/108 x 4/29)) 1)
(*.f64 (pow.f64 (fma.f64 841/108 x 4/29) -1/2) (pow.f64 (fma.f64 841/108 x 4/29) -1/2))
(*.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 -1 (/.f64 -1 (fma.f64 841/108 x 4/29)))
(*.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 (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))
(pow.f64 (fma.f64 841/108 x 4/29) -1)
(pow.f64 (/.f64 1 (fma.f64 841/108 x 4/29)) 1)
(pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) -1/2) 2)
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 841/108 x 4/29))) 3)
(pow.f64 (pow.f64 (/.f64 1 (fma.f64 841/108 x 4/29)) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) -2))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 841/108 x 4/29))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 841/108 x 4/29)))))
(cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 841/108 x 4/29)) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 841/108 x 4/29))))
(exp.f64 (neg.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 (neg.f64 (log.f64 (fma.f64 841/108 x 4/29))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 841/108 x 4/29))))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 (*.f64 841/108 x) 4/29)
(+.f64 (*.f64 (*.f64 841/108 x) 1) 4/29)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 841/108 x 4/29))) 1)
(*.f64 1 (fma.f64 841/108 x 4/29))
(*.f64 (fma.f64 841/108 x 4/29) 1)
(*.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) (sqrt.f64 (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 -1 (neg.f64 (fma.f64 841/108 x 4/29)))
(*.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 (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 1 (/.f64 1 (fma.f64 841/108 x 4/29)))
(/.f64 1 (neg.f64 (/.f64 -1 (fma.f64 841/108 x 4/29))))
(/.f64 (fma.f64 841/108 x 4/29) 1)
(/.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) (pow.f64 (fma.f64 841/108 x 4/29) -1/2))
(/.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 -1 (/.f64 -1 (fma.f64 841/108 x 4/29)))
(/.f64 (neg.f64 (fma.f64 841/108 x 4/29)) -1)
(/.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 (*.f64 841/108 x) (*.f64 841/108 x)) 16/841) (-.f64 (*.f64 841/108 x) 4/29))
(/.f64 (+.f64 (pow.f64 (*.f64 841/108 x) 3) 64/24389) (+.f64 (*.f64 (*.f64 841/108 x) (*.f64 841/108 x)) (-.f64 16/841 (*.f64 (*.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 (sqrt.f64 (fma.f64 841/108 x 4/29)) 2)
(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)
(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 (neg.f64 (log.f64 (fma.f64 841/108 x 4/29))) -1))
(log1p.f64 (expm1.f64 (fma.f64 841/108 x 4/29)))
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)
29/4
(+.f64 29/4 (*.f64 -707281/1728 x))
(+.f64 29/4 (*.f64 x -707281/1728))
(fma.f64 x -707281/1728 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 x -707281/1728)))
(+.f64 (fma.f64 x -707281/1728 29/4) (*.f64 17249876309/746496 (*.f64 x x)))
(fma.f64 x -707281/1728 (fma.f64 17249876309/746496 (*.f64 x x) 29/4))
(+.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 x -707281/1728))))
(+.f64 (fma.f64 -420707233300201/322486272 (pow.f64 x 3) (*.f64 17249876309/746496 (*.f64 x x))) (fma.f64 x -707281/1728 29/4))
(fma.f64 -420707233300201/322486272 (pow.f64 x 3) (fma.f64 x -707281/1728 (fma.f64 17249876309/746496 (*.f64 x 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)))
(-.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 108/841 x) (-.f64 (/.f64 20155392/500246412961 (pow.f64 x 3)) (/.f64 46656/20511149 (*.f64 x x))))
(+.f64 (/.f64 108/841 x) (+.f64 (/.f64 20155392/500246412961 (pow.f64 x 3)) (/.f64 -46656/20511149 (*.f64 x x))))
(+.f64 (+.f64 (/.f64 108/841 x) (/.f64 -46656/20511149 (*.f64 x x))) (/.f64 20155392/500246412961 (pow.f64 x 3)))
(-.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 (/.f64 108/841 x) (-.f64 (/.f64 20155392/500246412961 (pow.f64 x 3)) (+.f64 (/.f64 46656/20511149 (*.f64 x x)) (/.f64 8707129344/12200509765705829 (pow.f64 x 4)))))
(+.f64 (/.f64 108/841 x) (+.f64 (/.f64 20155392/500246412961 (pow.f64 x 3)) (-.f64 (/.f64 -46656/20511149 (*.f64 x x)) (/.f64 8707129344/12200509765705829 (pow.f64 x 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)))
(-.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 108/841 x) (-.f64 (/.f64 20155392/500246412961 (pow.f64 x 3)) (/.f64 46656/20511149 (*.f64 x x))))
(+.f64 (/.f64 108/841 x) (+.f64 (/.f64 20155392/500246412961 (pow.f64 x 3)) (/.f64 -46656/20511149 (*.f64 x x))))
(+.f64 (+.f64 (/.f64 108/841 x) (/.f64 -46656/20511149 (*.f64 x x))) (/.f64 20155392/500246412961 (pow.f64 x 3)))
(-.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 (/.f64 108/841 x) (-.f64 (/.f64 20155392/500246412961 (pow.f64 x 3)) (+.f64 (/.f64 46656/20511149 (*.f64 x x)) (/.f64 8707129344/12200509765705829 (pow.f64 x 4)))))
(+.f64 (/.f64 108/841 x) (+.f64 (/.f64 20155392/500246412961 (pow.f64 x 3)) (-.f64 (/.f64 -46656/20511149 (*.f64 x x)) (/.f64 8707129344/12200509765705829 (pow.f64 x 4)))))
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 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 (*.f64 841/108 x) 4/29)
(fma.f64 841/108 x 4/29)
(+.f64 (*.f64 (*.f64 841/108 x) 1) 4/29)
(fma.f64 841/108 x 4/29)
(-.f64 (exp.f64 (log1p.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 (fma.f64 841/108 x 4/29) 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)))
(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 -1 (neg.f64 (fma.f64 841/108 x 4/29)))
(fma.f64 841/108 x 4/29)
(*.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))
(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 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) -2))) (/.f64 1 (/.f64 1 (cbrt.f64 (fma.f64 841/108 x 4/29)))))
(/.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) (cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) -2)))
(pow.f64 (fma.f64 841/108 x 4/29) 1)
(fma.f64 841/108 x 4/29)
(pow.f64 (/.f64 1 (fma.f64 841/108 x 4/29)) -1)
(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 (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) 3) 1/3)
(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 (neg.f64 (log.f64 (fma.f64 841/108 x 4/29))) -1))
(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)
(fma.f64 841/108 x 4/29)
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 841/108 x 4/29)))) 1)
(/.f64 1 (fma.f64 841/108 x 4/29))
(*.f64 1 (/.f64 1 (fma.f64 841/108 x 4/29)))
(/.f64 1 (fma.f64 841/108 x 4/29))
(*.f64 (/.f64 1 (fma.f64 841/108 x 4/29)) 1)
(/.f64 1 (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 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 (cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) -2)) (cbrt.f64 (fma.f64 841/108 x 4/29)))
(*.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 (cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) -2)) (cbrt.f64 (fma.f64 841/108 x 4/29)))
(*.f64 -1 (/.f64 -1 (fma.f64 841/108 x 4/29)))
(/.f64 1 (fma.f64 841/108 x 4/29))
(*.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 1 (fma.f64 841/108 x 4/29))
(*.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 1 (fma.f64 841/108 x 4/29))
(pow.f64 (fma.f64 841/108 x 4/29) -1)
(/.f64 1 (fma.f64 841/108 x 4/29))
(pow.f64 (/.f64 1 (fma.f64 841/108 x 4/29)) 1)
(/.f64 1 (fma.f64 841/108 x 4/29))
(pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) -1/2) 2)
(/.f64 1 (fma.f64 841/108 x 4/29))
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 841/108 x 4/29))) 3)
(/.f64 1 (fma.f64 841/108 x 4/29))
(pow.f64 (pow.f64 (/.f64 1 (fma.f64 841/108 x 4/29)) 3) 1/3)
(/.f64 1 (fma.f64 841/108 x 4/29))
(sqrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) -2))
(/.f64 1 (fma.f64 841/108 x 4/29))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 841/108 x 4/29))))
(/.f64 1 (fma.f64 841/108 x 4/29))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 841/108 x 4/29)))))
(/.f64 1 (fma.f64 841/108 x 4/29))
(cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 841/108 x 4/29)) 3))
(/.f64 1 (fma.f64 841/108 x 4/29))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 841/108 x 4/29))))
(/.f64 1 (fma.f64 841/108 x 4/29))
(exp.f64 (neg.f64 (log.f64 (fma.f64 841/108 x 4/29))))
(/.f64 1 (fma.f64 841/108 x 4/29))
(exp.f64 (*.f64 (log.f64 (fma.f64 841/108 x 4/29)) -1))
(/.f64 1 (fma.f64 841/108 x 4/29))
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 841/108 x 4/29))) 1))
(/.f64 1 (fma.f64 841/108 x 4/29))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 841/108 x 4/29))))
(/.f64 1 (fma.f64 841/108 x 4/29))
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 (*.f64 841/108 x) 4/29)
(fma.f64 841/108 x 4/29)
(+.f64 (*.f64 (*.f64 841/108 x) 1) 4/29)
(fma.f64 841/108 x 4/29)
(-.f64 (exp.f64 (log1p.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 (fma.f64 841/108 x 4/29) 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)))
(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 -1 (neg.f64 (fma.f64 841/108 x 4/29)))
(fma.f64 841/108 x 4/29)
(*.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))
(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 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) -2))) (/.f64 1 (/.f64 1 (cbrt.f64 (fma.f64 841/108 x 4/29)))))
(/.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) (cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) -2)))
(/.f64 1 (/.f64 1 (fma.f64 841/108 x 4/29)))
(fma.f64 841/108 x 4/29)
(/.f64 1 (neg.f64 (/.f64 -1 (fma.f64 841/108 x 4/29))))
(fma.f64 841/108 x 4/29)
(/.f64 (fma.f64 841/108 x 4/29) 1)
(fma.f64 841/108 x 4/29)
(/.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) (pow.f64 (fma.f64 841/108 x 4/29) -1/2))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2) (/.f64 1 (cbrt.f64 (fma.f64 841/108 x 4/29))))
(fma.f64 841/108 x 4/29)
(/.f64 -1 (/.f64 -1 (fma.f64 841/108 x 4/29)))
(fma.f64 841/108 x 4/29)
(/.f64 (neg.f64 (fma.f64 841/108 x 4/29)) -1)
(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))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) -2))) (/.f64 1 (/.f64 1 (cbrt.f64 (fma.f64 841/108 x 4/29)))))
(/.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) (cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) -2)))
(/.f64 (-.f64 (*.f64 (*.f64 841/108 x) (*.f64 841/108 x)) 16/841) (-.f64 (*.f64 841/108 x) 4/29))
(/.f64 (+.f64 (*.f64 707281/11664 (*.f64 x x)) -16/841) (fma.f64 841/108 x -4/29))
(/.f64 (fma.f64 (*.f64 x 707281/11664) x -16/841) (fma.f64 841/108 x -4/29))
(/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 841/108 x -4/29))
(/.f64 (+.f64 (pow.f64 (*.f64 841/108 x) 3) 64/24389) (+.f64 (*.f64 (*.f64 841/108 x) (*.f64 841/108 x)) (-.f64 16/841 (*.f64 (*.f64 841/108 x) 4/29))))
(/.f64 (+.f64 (*.f64 594823321/1259712 (pow.f64 x 3)) 64/24389) (+.f64 (*.f64 707281/11664 (*.f64 x x)) (-.f64 16/841 (*.f64 4/29 (*.f64 841/108 x)))))
(/.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 (pow.f64 x 3) 594823321/1259712 64/24389) (-.f64 16/841 (*.f64 x (-.f64 29/27 (*.f64 x 707281/11664)))))
(pow.f64 (fma.f64 841/108 x 4/29) 1)
(fma.f64 841/108 x 4/29)
(pow.f64 (/.f64 1 (fma.f64 841/108 x 4/29)) -1)
(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 (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) 3) 1/3)
(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 (neg.f64 (log.f64 (fma.f64 841/108 x 4/29))) -1))
(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)

eval675.0ms (10.9%)

Compiler

Compiled 22486 to 16935 computations (24.7% saved)

prune299.0ms (4.8%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New9726978
Fresh213
Picked101
Done314
Total9788986
Accurracy
100.0%
Counts
986 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
70.5%
(/.f64 (+.f64 (*.f64 x (*.f64 x 707281/11664)) -16/841) (+.f64 -4/29 (*.f64 841/108 x)))
28.2%
(/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (*.f64 x -841/108))
57.5%
(/.f64 1 (/.f64 108/841 x))
57.6%
(/.f64 1 (-.f64 (/.f64 108/841 x) (/.f64 46656/20511149 (*.f64 x x))))
99.6%
(-.f64 (/.f64 16/841 (+.f64 4/29 (*.f64 x -841/108))) (*.f64 (*.f64 (/.f64 707281/11664 (fma.f64 x -841/108 4/29)) x) x))
99.9%
(+.f64 4/29 (*.f64 841/108 x))
57.7%
(*.f64 x 841/108)
43.6%
4/29
Compiler

Compiled 142 to 111 computations (21.8% saved)

localize63.0ms (1%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
99.8%
(*.f64 x -841/108)
99.7%
(/.f64 707281/11664 (fma.f64 x -841/108 4/29))
99.5%
(*.f64 (/.f64 707281/11664 (fma.f64 x -841/108 4/29)) x)
99.4%
(/.f64 16/841 (+.f64 4/29 (*.f64 x -841/108)))
Compiler

Compiled 67 to 52 computations (22.4% saved)

series1.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@0
(*.f64 (/.f64 707281/11664 (fma.f64 x -841/108 4/29)) x)
0.0ms
x
@inf
(*.f64 (/.f64 707281/11664 (fma.f64 x -841/108 4/29)) x)
0.0ms
x
@-inf
(*.f64 (/.f64 707281/11664 (fma.f64 x -841/108 4/29)) x)
0.0ms
x
@-inf
(/.f64 707281/11664 (fma.f64 x -841/108 4/29))
0.0ms
x
@inf
(/.f64 707281/11664 (fma.f64 x -841/108 4/29))

rewrite75.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
1956×add-sqr-sqrt
1914×*-un-lft-identity
1804×add-cube-cbrt
1786×add-cbrt-cube
194×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01036
121136
2241036
Stop Event
node limit
Counts
2 → 45
Calls
Call 1
Inputs
(*.f64 (/.f64 707281/11664 (fma.f64 x -841/108 4/29)) x)
(/.f64 707281/11664 (fma.f64 x -841/108 4/29))
Outputs
(((-.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 707281/11664 (fma.f64 x -841/108 4/29))))) 1) (2)) ((/.f64 707281/11664 (/.f64 (fma.f64 x -841/108 4/29) x)) (2)) ((/.f64 x (*.f64 (fma.f64 x -841/108 4/29) 11664/707281)) (2)) ((/.f64 1 (/.f64 (fma.f64 x -841/108 4/29) (*.f64 707281/11664 x))) (2)) ((/.f64 (*.f64 707281/11664 x) (fma.f64 x -841/108 4/29)) (2)) ((/.f64 (*.f64 x -707281/11664) (neg.f64 (fma.f64 x -841/108 4/29))) (2)) ((/.f64 (*.f64 -707281/11664 x) (neg.f64 (fma.f64 x -841/108 4/29))) (2)) ((/.f64 (/.f64 (*.f64 707281/11664 x) 1) (fma.f64 x -841/108 4/29)) (2)) ((/.f64 (/.f64 (*.f64 707281/11664 x) (sqrt.f64 (fma.f64 x -841/108 4/29))) (sqrt.f64 (fma.f64 x -841/108 4/29))) (2)) ((/.f64 (/.f64 (*.f64 707281/11664 x) (pow.f64 (cbrt.f64 (fma.f64 x -841/108 4/29)) 2)) (cbrt.f64 (fma.f64 x -841/108 4/29))) (2)) ((/.f64 (neg.f64 (*.f64 707281/11664 x)) (neg.f64 (fma.f64 x -841/108 4/29))) (2)) ((pow.f64 (*.f64 x (/.f64 707281/11664 (fma.f64 x -841/108 4/29))) 1) (2)) ((pow.f64 (sqrt.f64 (*.f64 x (/.f64 707281/11664 (fma.f64 x -841/108 4/29)))) 2) (2)) ((pow.f64 (cbrt.f64 (*.f64 x (/.f64 707281/11664 (fma.f64 x -841/108 4/29)))) 3) (2)) ((pow.f64 (pow.f64 (*.f64 x (/.f64 707281/11664 (fma.f64 x -841/108 4/29))) 3) 1/3) (2)) ((sqrt.f64 (pow.f64 (*.f64 x (/.f64 707281/11664 (fma.f64 x -841/108 4/29))) 2)) (2)) ((log.f64 (pow.f64 (exp.f64 x) (/.f64 707281/11664 (fma.f64 x -841/108 4/29)))) (2)) ((log.f64 (+.f64 1 (expm1.f64 (*.f64 x (/.f64 707281/11664 (fma.f64 x -841/108 4/29)))))) (2)) ((cbrt.f64 (pow.f64 (*.f64 x (/.f64 707281/11664 (fma.f64 x -841/108 4/29))) 3)) (2)) ((expm1.f64 (log1p.f64 (*.f64 x (/.f64 707281/11664 (fma.f64 x -841/108 4/29))))) (2)) ((exp.f64 (log.f64 (*.f64 x (/.f64 707281/11664 (fma.f64 x -841/108 4/29))))) (2)) ((exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 707281/11664 (fma.f64 x -841/108 4/29)))) 1)) (2)) ((log1p.f64 (expm1.f64 (*.f64 x (/.f64 707281/11664 (fma.f64 x -841/108 4/29))))) (2)))
(((-.f64 (exp.f64 (log1p.f64 (/.f64 707281/11664 (fma.f64 x -841/108 4/29)))) 1) (2)) ((*.f64 707281/11664 (/.f64 1 (fma.f64 x -841/108 4/29))) (2)) ((*.f64 (/.f64 707281/11664 (fma.f64 x -841/108 4/29)) 1) (2)) ((*.f64 1 (/.f64 707281/11664 (fma.f64 x -841/108 4/29))) (2)) ((*.f64 (sqrt.f64 (/.f64 707281/11664 (fma.f64 x -841/108 4/29))) (sqrt.f64 (/.f64 707281/11664 (fma.f64 x -841/108 4/29)))) (2)) ((*.f64 (cbrt.f64 (/.f64 707281/11664 (fma.f64 x -841/108 4/29))) (pow.f64 (cbrt.f64 (/.f64 707281/11664 (fma.f64 x -841/108 4/29))) 2)) (2)) ((*.f64 (pow.f64 (cbrt.f64 (/.f64 707281/11664 (fma.f64 x -841/108 4/29))) 2) (cbrt.f64 (/.f64 707281/11664 (fma.f64 x -841/108 4/29)))) (2)) ((*.f64 (/.f64 1 (fma.f64 x -841/108 4/29)) 707281/11664) (2)) ((*.f64 -707281/11664 (/.f64 1 (neg.f64 (fma.f64 x -841/108 4/29)))) (2)) ((pow.f64 (/.f64 707281/11664 (fma.f64 x -841/108 4/29)) 1) (2)) ((pow.f64 (sqrt.f64 (/.f64 707281/11664 (fma.f64 x -841/108 4/29))) 2) (2)) ((pow.f64 (cbrt.f64 (/.f64 707281/11664 (fma.f64 x -841/108 4/29))) 3) (2)) ((pow.f64 (pow.f64 (/.f64 707281/11664 (fma.f64 x -841/108 4/29)) 3) 1/3) (2)) ((pow.f64 (*.f64 (fma.f64 x -841/108 4/29) 11664/707281) -1) (2)) ((sqrt.f64 (/.f64 500246412961/136048896 (pow.f64 (fma.f64 x -841/108 4/29) 2))) (2)) ((log.f64 (exp.f64 (/.f64 707281/11664 (fma.f64 x -841/108 4/29)))) (2)) ((log.f64 (+.f64 1 (expm1.f64 (/.f64 707281/11664 (fma.f64 x -841/108 4/29))))) (2)) ((cbrt.f64 (pow.f64 (/.f64 707281/11664 (fma.f64 x -841/108 4/29)) 3)) (2)) ((expm1.f64 (log1p.f64 (/.f64 707281/11664 (fma.f64 x -841/108 4/29)))) (2)) ((exp.f64 (log.f64 (/.f64 707281/11664 (fma.f64 x -841/108 4/29)))) (2)) ((exp.f64 (*.f64 (log.f64 (/.f64 707281/11664 (fma.f64 x -841/108 4/29))) 1)) (2)) ((log1p.f64 (expm1.f64 (/.f64 707281/11664 (fma.f64 x -841/108 4/29)))) (2)))

simplify74.0ms (1.2%)

Algorithm
egg-herbie
Rules
1002×associate-*r/
872×unswap-sqr
870×associate-+r-
718×+-commutative
654×fma-def
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01591525
13901469
215881447
375481447
Stop Event
node limit
Counts
69 → 98
Calls
Call 1
Inputs
(*.f64 20511149/46656 x)
(+.f64 (*.f64 20511149/46656 x) (*.f64 500246412961/20155392 (pow.f64 x 2)))
(+.f64 (*.f64 12200509765705829/8707129344 (pow.f64 x 3)) (+.f64 (*.f64 20511149/46656 x) (*.f64 500246412961/20155392 (pow.f64 x 2))))
(+.f64 (*.f64 297558232675799463481/3761479876608 (pow.f64 x 4)) (+.f64 (*.f64 12200509765705829/8707129344 (pow.f64 x 3)) (+.f64 (*.f64 20511149/46656 x) (*.f64 500246412961/20155392 (pow.f64 x 2)))))
-841/108
(neg.f64 (+.f64 841/108 (*.f64 4/29 (/.f64 1 x))))
(neg.f64 (+.f64 (*.f64 1728/707281 (/.f64 1 (pow.f64 x 2))) (+.f64 841/108 (*.f64 4/29 (/.f64 1 x)))))
(neg.f64 (+.f64 (*.f64 1728/707281 (/.f64 1 (pow.f64 x 2))) (+.f64 841/108 (+.f64 (*.f64 746496/17249876309 (/.f64 1 (pow.f64 x 3))) (*.f64 4/29 (/.f64 1 x))))))
-841/108
(neg.f64 (+.f64 841/108 (*.f64 4/29 (/.f64 1 x))))
(neg.f64 (+.f64 (*.f64 1728/707281 (/.f64 1 (pow.f64 x 2))) (+.f64 841/108 (*.f64 4/29 (/.f64 1 x)))))
(neg.f64 (+.f64 (*.f64 1728/707281 (/.f64 1 (pow.f64 x 2))) (+.f64 841/108 (+.f64 (*.f64 746496/17249876309 (/.f64 1 (pow.f64 x 3))) (*.f64 4/29 (/.f64 1 x))))))
20511149/46656
(+.f64 20511149/46656 (*.f64 500246412961/20155392 x))
(+.f64 (*.f64 12200509765705829/8707129344 (pow.f64 x 2)) (+.f64 20511149/46656 (*.f64 500246412961/20155392 x)))
(+.f64 (*.f64 12200509765705829/8707129344 (pow.f64 x 2)) (+.f64 20511149/46656 (+.f64 (*.f64 297558232675799463481/3761479876608 (pow.f64 x 3)) (*.f64 500246412961/20155392 x))))
(/.f64 -841/108 x)
(neg.f64 (+.f64 (*.f64 4/29 (/.f64 1 (pow.f64 x 2))) (*.f64 841/108 (/.f64 1 x))))
(neg.f64 (+.f64 (*.f64 1728/707281 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 4/29 (/.f64 1 (pow.f64 x 2))) (*.f64 841/108 (/.f64 1 x)))))
(neg.f64 (+.f64 (*.f64 4/29 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1728/707281 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 841/108 (/.f64 1 x)) (*.f64 746496/17249876309 (/.f64 1 (pow.f64 x 4)))))))
(/.f64 -841/108 x)
(neg.f64 (+.f64 (*.f64 4/29 (/.f64 1 (pow.f64 x 2))) (*.f64 841/108 (/.f64 1 x))))
(neg.f64 (+.f64 (*.f64 1728/707281 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 4/29 (/.f64 1 (pow.f64 x 2))) (*.f64 841/108 (/.f64 1 x)))))
(neg.f64 (+.f64 (*.f64 4/29 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1728/707281 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 841/108 (/.f64 1 x)) (*.f64 746496/17249876309 (/.f64 1 (pow.f64 x 4)))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 707281/11664 (fma.f64 x -841/108 4/29))))) 1)
(/.f64 707281/11664 (/.f64 (fma.f64 x -841/108 4/29) x))
(/.f64 x (*.f64 (fma.f64 x -841/108 4/29) 11664/707281))
(/.f64 1 (/.f64 (fma.f64 x -841/108 4/29) (*.f64 707281/11664 x)))
(/.f64 (*.f64 707281/11664 x) (fma.f64 x -841/108 4/29))
(/.f64 (*.f64 x -707281/11664) (neg.f64 (fma.f64 x -841/108 4/29)))
(/.f64 (*.f64 -707281/11664 x) (neg.f64 (fma.f64 x -841/108 4/29)))
(/.f64 (/.f64 (*.f64 707281/11664 x) 1) (fma.f64 x -841/108 4/29))
(/.f64 (/.f64 (*.f64 707281/11664 x) (sqrt.f64 (fma.f64 x -841/108 4/29))) (sqrt.f64 (fma.f64 x -841/108 4/29)))
(/.f64 (/.f64 (*.f64 707281/11664 x) (pow.f64 (cbrt.f64 (fma.f64 x -841/108 4/29)) 2)) (cbrt.f64 (fma.f64 x -841/108 4/29)))
(/.f64 (neg.f64 (*.f64 707281/11664 x)) (neg.f64 (fma.f64 x -841/108 4/29)))
(pow.f64 (*.f64 x (/.f64 707281/11664 (fma.f64 x -841/108 4/29))) 1)
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 707281/11664 (fma.f64 x -841/108 4/29)))) 2)
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 707281/11664 (fma.f64 x -841/108 4/29)))) 3)
(pow.f64 (pow.f64 (*.f64 x (/.f64 707281/11664 (fma.f64 x -841/108 4/29))) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 707281/11664 (fma.f64 x -841/108 4/29))) 2))
(log.f64 (pow.f64 (exp.f64 x) (/.f64 707281/11664 (fma.f64 x -841/108 4/29))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (/.f64 707281/11664 (fma.f64 x -841/108 4/29))))))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 707281/11664 (fma.f64 x -841/108 4/29))) 3))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 707281/11664 (fma.f64 x -841/108 4/29)))))
(exp.f64 (log.f64 (*.f64 x (/.f64 707281/11664 (fma.f64 x -841/108 4/29)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 707281/11664 (fma.f64 x -841/108 4/29)))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 707281/11664 (fma.f64 x -841/108 4/29)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 707281/11664 (fma.f64 x -841/108 4/29)))) 1)
(*.f64 707281/11664 (/.f64 1 (fma.f64 x -841/108 4/29)))
(*.f64 (/.f64 707281/11664 (fma.f64 x -841/108 4/29)) 1)
(*.f64 1 (/.f64 707281/11664 (fma.f64 x -841/108 4/29)))
(*.f64 (sqrt.f64 (/.f64 707281/11664 (fma.f64 x -841/108 4/29))) (sqrt.f64 (/.f64 707281/11664 (fma.f64 x -841/108 4/29))))
(*.f64 (cbrt.f64 (/.f64 707281/11664 (fma.f64 x -841/108 4/29))) (pow.f64 (cbrt.f64 (/.f64 707281/11664 (fma.f64 x -841/108 4/29))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 707281/11664 (fma.f64 x -841/108 4/29))) 2) (cbrt.f64 (/.f64 707281/11664 (fma.f64 x -841/108 4/29))))
(*.f64 (/.f64 1 (fma.f64 x -841/108 4/29)) 707281/11664)
(*.f64 -707281/11664 (/.f64 1 (neg.f64 (fma.f64 x -841/108 4/29))))
(pow.f64 (/.f64 707281/11664 (fma.f64 x -841/108 4/29)) 1)
(pow.f64 (sqrt.f64 (/.f64 707281/11664 (fma.f64 x -841/108 4/29))) 2)
(pow.f64 (cbrt.f64 (/.f64 707281/11664 (fma.f64 x -841/108 4/29))) 3)
(pow.f64 (pow.f64 (/.f64 707281/11664 (fma.f64 x -841/108 4/29)) 3) 1/3)
(pow.f64 (*.f64 (fma.f64 x -841/108 4/29) 11664/707281) -1)
(sqrt.f64 (/.f64 500246412961/136048896 (pow.f64 (fma.f64 x -841/108 4/29) 2)))
(log.f64 (exp.f64 (/.f64 707281/11664 (fma.f64 x -841/108 4/29))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 707281/11664 (fma.f64 x -841/108 4/29)))))
(cbrt.f64 (pow.f64 (/.f64 707281/11664 (fma.f64 x -841/108 4/29)) 3))
(expm1.f64 (log1p.f64 (/.f64 707281/11664 (fma.f64 x -841/108 4/29))))
(exp.f64 (log.f64 (/.f64 707281/11664 (fma.f64 x -841/108 4/29))))
(exp.f64 (*.f64 (log.f64 (/.f64 707281/11664 (fma.f64 x -841/108 4/29))) 1))
(log1p.f64 (expm1.f64 (/.f64 707281/11664 (fma.f64 x -841/108 4/29))))
Outputs
(*.f64 20511149/46656 x)
(+.f64 (*.f64 20511149/46656 x) (*.f64 500246412961/20155392 (pow.f64 x 2)))
(fma.f64 20511149/46656 x (*.f64 500246412961/20155392 (*.f64 x x)))
(fma.f64 500246412961/20155392 (*.f64 x x) (*.f64 20511149/46656 x))
(*.f64 x (fma.f64 x 500246412961/20155392 20511149/46656))
(+.f64 (*.f64 12200509765705829/8707129344 (pow.f64 x 3)) (+.f64 (*.f64 20511149/46656 x) (*.f64 500246412961/20155392 (pow.f64 x 2))))
(fma.f64 12200509765705829/8707129344 (pow.f64 x 3) (fma.f64 20511149/46656 x (*.f64 500246412961/20155392 (*.f64 x x))))
(fma.f64 12200509765705829/8707129344 (pow.f64 x 3) (fma.f64 500246412961/20155392 (*.f64 x x) (*.f64 20511149/46656 x)))
(fma.f64 12200509765705829/8707129344 (pow.f64 x 3) (*.f64 x (fma.f64 x 500246412961/20155392 20511149/46656)))
(+.f64 (*.f64 297558232675799463481/3761479876608 (pow.f64 x 4)) (+.f64 (*.f64 12200509765705829/8707129344 (pow.f64 x 3)) (+.f64 (*.f64 20511149/46656 x) (*.f64 500246412961/20155392 (pow.f64 x 2)))))
(fma.f64 297558232675799463481/3761479876608 (pow.f64 x 4) (fma.f64 12200509765705829/8707129344 (pow.f64 x 3) (fma.f64 20511149/46656 x (*.f64 500246412961/20155392 (*.f64 x x)))))
(fma.f64 297558232675799463481/3761479876608 (pow.f64 x 4) (fma.f64 12200509765705829/8707129344 (pow.f64 x 3) (fma.f64 500246412961/20155392 (*.f64 x x) (*.f64 20511149/46656 x))))
(fma.f64 297558232675799463481/3761479876608 (pow.f64 x 4) (fma.f64 12200509765705829/8707129344 (pow.f64 x 3) (*.f64 x (fma.f64 x 500246412961/20155392 20511149/46656))))
-841/108
(neg.f64 (+.f64 841/108 (*.f64 4/29 (/.f64 1 x))))
(+.f64 -841/108 (neg.f64 (/.f64 4/29 x)))
(+.f64 -841/108 (/.f64 -4/29 x))
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20511149/46656
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(/.f64 707281/11664 (fma.f64 x -841/108 4/29))

localize3.0ms (0%)

Local Accuracy

Found 1 expressions with local accuracy:

NewAccuracyProgram
99.8%
(*.f64 x 841/108)
Compiler

Compiled 6 to 4 computations (33.3% saved)

series0.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite57.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
924×associate-*l*
902×add-sqr-sqrt
884×*-un-lft-identity
842×pow1
826×add-cube-cbrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
11007
211107
Stop Event
node limit
Counts
1 → 11
Calls
Call 1
Inputs
(*.f64 x 841/108)
Outputs
(((-.f64 (+.f64 (*.f64 x 841/108) 1) 1) (2)) ((pow.f64 (*.f64 x 841/108) 1) (2)) ((pow.f64 (sqrt.f64 (*.f64 x 841/108)) 2) (2)) ((pow.f64 (cbrt.f64 (*.f64 x 841/108)) 3) (2)) ((pow.f64 (pow.f64 (*.f64 x 841/108) 3) 1/3) (2)) ((sqrt.f64 (*.f64 x (*.f64 x 707281/11664))) (2)) ((log.f64 (pow.f64 (exp.f64 x) 841/108)) (2)) ((cbrt.f64 (pow.f64 (*.f64 x 841/108) 3)) (2)) ((expm1.f64 (log1p.f64 (*.f64 x 841/108))) (2)) ((exp.f64 (log.f64 (*.f64 x 841/108))) (2)) ((log1p.f64 (expm1.f64 (*.f64 x 841/108))) (2)))

simplify71.0ms (1.2%)

Algorithm
egg-herbie
Rules
836×log-prod
820×distribute-rgt-out
782×+-commutative
690×fma-def
624×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034161
185161
2261161
31817161
43909161
56076161
Stop Event
node limit
Counts
23 → 12
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)
(-.f64 (+.f64 (*.f64 x 841/108) 1) 1)
(pow.f64 (*.f64 x 841/108) 1)
(pow.f64 (sqrt.f64 (*.f64 x 841/108)) 2)
(pow.f64 (cbrt.f64 (*.f64 x 841/108)) 3)
(pow.f64 (pow.f64 (*.f64 x 841/108) 3) 1/3)
(sqrt.f64 (*.f64 x (*.f64 x 707281/11664)))
(log.f64 (pow.f64 (exp.f64 x) 841/108))
(cbrt.f64 (pow.f64 (*.f64 x 841/108) 3))
(expm1.f64 (log1p.f64 (*.f64 x 841/108)))
(exp.f64 (log.f64 (*.f64 x 841/108)))
(log1p.f64 (expm1.f64 (*.f64 x 841/108)))
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)
(-.f64 (+.f64 (*.f64 x 841/108) 1) 1)
(*.f64 841/108 x)
(pow.f64 (*.f64 x 841/108) 1)
(*.f64 841/108 x)
(pow.f64 (sqrt.f64 (*.f64 x 841/108)) 2)
(*.f64 841/108 x)
(pow.f64 (cbrt.f64 (*.f64 x 841/108)) 3)
(*.f64 841/108 x)
(pow.f64 (pow.f64 (*.f64 x 841/108) 3) 1/3)
(*.f64 841/108 x)
(sqrt.f64 (*.f64 x (*.f64 x 707281/11664)))
(*.f64 841/108 x)
(log.f64 (pow.f64 (exp.f64 x) 841/108))
(*.f64 841/108 x)
(cbrt.f64 (pow.f64 (*.f64 x 841/108) 3))
(*.f64 841/108 x)
(expm1.f64 (log1p.f64 (*.f64 x 841/108)))
(*.f64 841/108 x)
(exp.f64 (log.f64 (*.f64 x 841/108)))
(*.f64 841/108 x)
(log1p.f64 (expm1.f64 (*.f64 x 841/108)))
(*.f64 841/108 x)

localize5.0ms (0.1%)

Local Accuracy

Found 2 expressions with local accuracy:

NewAccuracyProgram
99.6%
(/.f64 1 (/.f64 108/841 x))
99.5%
(/.f64 108/841 x)
Compiler

Compiled 12 to 9 computations (25% saved)

series1.0ms (0%)

Counts
2 → 12
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@0
(/.f64 108/841 x)
0.0ms
x
@inf
(/.f64 108/841 x)
0.0ms
x
@-inf
(/.f64 108/841 x)
0.0ms
x
@0
(/.f64 1 (/.f64 108/841 x))
0.0ms
x
@inf
(/.f64 1 (/.f64 108/841 x))

rewrite61.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
1336×add-sqr-sqrt
1300×*-un-lft-identity
1230×add-cube-cbrt
1220×add-cbrt-cube
1206×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0714
114914
2172914
Stop Event
node limit
Counts
2 → 46
Calls
Call 1
Inputs
(/.f64 108/841 x)
(/.f64 1 (/.f64 108/841 x))
Outputs
(((-.f64 (+.f64 1 (/.f64 108/841 x)) 1) (2)) ((*.f64 108/841 (/.f64 1 x)) (2)) ((*.f64 (/.f64 108/841 x) 1) (2)) ((*.f64 1 (/.f64 108/841 x)) (2)) ((*.f64 (sqrt.f64 (/.f64 108/841 x)) (sqrt.f64 (/.f64 108/841 x))) (2)) ((*.f64 (cbrt.f64 (/.f64 108/841 x)) (pow.f64 (cbrt.f64 (/.f64 108/841 x)) 2)) (2)) ((*.f64 (pow.f64 (cbrt.f64 (/.f64 108/841 x)) 2) (cbrt.f64 (/.f64 108/841 x))) (2)) ((*.f64 (/.f64 1 x) 108/841) (2)) ((*.f64 -108/841 (/.f64 1 (neg.f64 x))) (2)) ((pow.f64 (/.f64 108/841 x) 1) (2)) ((pow.f64 (*.f64 x 841/108) -1) (2)) ((pow.f64 (sqrt.f64 (/.f64 108/841 x)) 2) (2)) ((pow.f64 (cbrt.f64 (/.f64 108/841 x)) 3) (2)) ((pow.f64 (pow.f64 (/.f64 108/841 x) 3) 1/3) (2)) ((sqrt.f64 (/.f64 11664/707281 (*.f64 x x))) (2)) ((log.f64 (exp.f64 (/.f64 108/841 x))) (2)) ((cbrt.f64 (pow.f64 (/.f64 108/841 x) 3)) (2)) ((expm1.f64 (log1p.f64 (/.f64 108/841 x))) (2)) ((exp.f64 (log.f64 (/.f64 108/841 x))) (2)) ((log1p.f64 (expm1.f64 (/.f64 108/841 x))) (2)))
(((-.f64 (+.f64 1 (*.f64 x 841/108)) 1) (2)) ((*.f64 x 841/108) (2)) ((*.f64 1 (*.f64 x 841/108)) (2)) ((*.f64 (*.f64 x 841/108) 1) (2)) ((*.f64 (sqrt.f64 (*.f64 x 841/108)) (sqrt.f64 (*.f64 x 841/108))) (2)) ((*.f64 (cbrt.f64 (*.f64 x 841/108)) (cbrt.f64 (*.f64 707281/11664 (*.f64 x x)))) (2)) ((*.f64 (cbrt.f64 (*.f64 707281/11664 (*.f64 x x))) (cbrt.f64 (*.f64 x 841/108))) (2)) ((*.f64 841/108 x) (2)) ((*.f64 841/108 (pow.f64 (/.f64 1 x) -1)) (2)) ((*.f64 -1 (/.f64 1 (/.f64 -108/841 x))) (2)) ((*.f64 (*.f64 841/108 (sqrt.f64 x)) (sqrt.f64 x)) (2)) ((*.f64 (*.f64 841/108 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) (2)) ((*.f64 -841/108 (neg.f64 x)) (2)) ((*.f64 (pow.f64 (sqrt.f64 (/.f64 108/841 x)) -1) (pow.f64 (sqrt.f64 (/.f64 108/841 x)) -1)) (2)) ((*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 108/841 x)) 2) -1) (pow.f64 (cbrt.f64 (/.f64 108/841 x)) -1)) (2)) ((pow.f64 (/.f64 108/841 x) -1) (2)) ((pow.f64 (*.f64 x 841/108) 1) (2)) ((pow.f64 (sqrt.f64 (*.f64 x 841/108)) 2) (2)) ((pow.f64 (cbrt.f64 (*.f64 x 841/108)) 3) (2)) ((pow.f64 (pow.f64 (*.f64 x 841/108) 3) 1/3) (2)) ((sqrt.f64 (*.f64 707281/11664 (*.f64 x x))) (2)) ((log.f64 (pow.f64 (exp.f64 841/108) x)) (2)) ((cbrt.f64 (pow.f64 (*.f64 x 841/108) 3)) (2)) ((expm1.f64 (log1p.f64 (*.f64 x 841/108))) (2)) ((exp.f64 (log.f64 (*.f64 x 841/108))) (2)) ((log1p.f64 (expm1.f64 (*.f64 x 841/108))) (2)))

simplify50.0ms (0.8%)

Algorithm
egg-herbie
Rules
1500×distribute-lft-in
1488×distribute-rgt-in
800×*-commutative
748×unswap-sqr
518×associate-*r/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
098706
1225592
2993472
34138472
Stop Event
node limit
Counts
58 → 55
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)
(-.f64 (+.f64 1 (/.f64 108/841 x)) 1)
(*.f64 108/841 (/.f64 1 x))
(*.f64 (/.f64 108/841 x) 1)
(*.f64 1 (/.f64 108/841 x))
(*.f64 (sqrt.f64 (/.f64 108/841 x)) (sqrt.f64 (/.f64 108/841 x)))
(*.f64 (cbrt.f64 (/.f64 108/841 x)) (pow.f64 (cbrt.f64 (/.f64 108/841 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 108/841 x)) 2) (cbrt.f64 (/.f64 108/841 x)))
(*.f64 (/.f64 1 x) 108/841)
(*.f64 -108/841 (/.f64 1 (neg.f64 x)))
(pow.f64 (/.f64 108/841 x) 1)
(pow.f64 (*.f64 x 841/108) -1)
(pow.f64 (sqrt.f64 (/.f64 108/841 x)) 2)
(pow.f64 (cbrt.f64 (/.f64 108/841 x)) 3)
(pow.f64 (pow.f64 (/.f64 108/841 x) 3) 1/3)
(sqrt.f64 (/.f64 11664/707281 (*.f64 x x)))
(log.f64 (exp.f64 (/.f64 108/841 x)))
(cbrt.f64 (pow.f64 (/.f64 108/841 x) 3))
(expm1.f64 (log1p.f64 (/.f64 108/841 x)))
(exp.f64 (log.f64 (/.f64 108/841 x)))
(log1p.f64 (expm1.f64 (/.f64 108/841 x)))
(-.f64 (+.f64 1 (*.f64 x 841/108)) 1)
(*.f64 x 841/108)
(*.f64 1 (*.f64 x 841/108))
(*.f64 (*.f64 x 841/108) 1)
(*.f64 (sqrt.f64 (*.f64 x 841/108)) (sqrt.f64 (*.f64 x 841/108)))
(*.f64 (cbrt.f64 (*.f64 x 841/108)) (cbrt.f64 (*.f64 707281/11664 (*.f64 x x))))
(*.f64 (cbrt.f64 (*.f64 707281/11664 (*.f64 x x))) (cbrt.f64 (*.f64 x 841/108)))
(*.f64 841/108 x)
(*.f64 841/108 (pow.f64 (/.f64 1 x) -1))
(*.f64 -1 (/.f64 1 (/.f64 -108/841 x)))
(*.f64 (*.f64 841/108 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (*.f64 841/108 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 -841/108 (neg.f64 x))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 108/841 x)) -1) (pow.f64 (sqrt.f64 (/.f64 108/841 x)) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 108/841 x)) 2) -1) (pow.f64 (cbrt.f64 (/.f64 108/841 x)) -1))
(pow.f64 (/.f64 108/841 x) -1)
(pow.f64 (*.f64 x 841/108) 1)
(pow.f64 (sqrt.f64 (*.f64 x 841/108)) 2)
(pow.f64 (cbrt.f64 (*.f64 x 841/108)) 3)
(pow.f64 (pow.f64 (*.f64 x 841/108) 3) 1/3)
(sqrt.f64 (*.f64 707281/11664 (*.f64 x x)))
(log.f64 (pow.f64 (exp.f64 841/108) x))
(cbrt.f64 (pow.f64 (*.f64 x 841/108) 3))
(expm1.f64 (log1p.f64 (*.f64 x 841/108)))
(exp.f64 (log.f64 (*.f64 x 841/108)))
(log1p.f64 (expm1.f64 (*.f64 x 841/108)))
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)
(-.f64 (+.f64 1 (/.f64 108/841 x)) 1)
(+.f64 1 (-.f64 (/.f64 108/841 x) 1))
(+.f64 (/.f64 108/841 x) 0)
(/.f64 108/841 x)
(*.f64 108/841 (/.f64 1 x))
(+.f64 1 (-.f64 (/.f64 108/841 x) 1))
(+.f64 (/.f64 108/841 x) 0)
(/.f64 108/841 x)
(*.f64 (/.f64 108/841 x) 1)
(+.f64 1 (-.f64 (/.f64 108/841 x) 1))
(+.f64 (/.f64 108/841 x) 0)
(/.f64 108/841 x)
(*.f64 1 (/.f64 108/841 x))
(+.f64 1 (-.f64 (/.f64 108/841 x) 1))
(+.f64 (/.f64 108/841 x) 0)
(/.f64 108/841 x)
(*.f64 (sqrt.f64 (/.f64 108/841 x)) (sqrt.f64 (/.f64 108/841 x)))
(+.f64 1 (-.f64 (/.f64 108/841 x) 1))
(+.f64 (/.f64 108/841 x) 0)
(/.f64 108/841 x)
(*.f64 (cbrt.f64 (/.f64 108/841 x)) (pow.f64 (cbrt.f64 (/.f64 108/841 x)) 2))
(+.f64 1 (-.f64 (/.f64 108/841 x) 1))
(+.f64 (/.f64 108/841 x) 0)
(/.f64 108/841 x)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 108/841 x)) 2) (cbrt.f64 (/.f64 108/841 x)))
(+.f64 1 (-.f64 (/.f64 108/841 x) 1))
(+.f64 (/.f64 108/841 x) 0)
(/.f64 108/841 x)
(*.f64 (/.f64 1 x) 108/841)
(+.f64 1 (-.f64 (/.f64 108/841 x) 1))
(+.f64 (/.f64 108/841 x) 0)
(/.f64 108/841 x)
(*.f64 -108/841 (/.f64 1 (neg.f64 x)))
(+.f64 1 (-.f64 (/.f64 108/841 x) 1))
(+.f64 (/.f64 108/841 x) 0)
(/.f64 108/841 x)
(pow.f64 (/.f64 108/841 x) 1)
(+.f64 1 (-.f64 (/.f64 108/841 x) 1))
(+.f64 (/.f64 108/841 x) 0)
(/.f64 108/841 x)
(pow.f64 (*.f64 x 841/108) -1)
(+.f64 1 (-.f64 (/.f64 108/841 x) 1))
(+.f64 (/.f64 108/841 x) 0)
(/.f64 108/841 x)
(pow.f64 (sqrt.f64 (/.f64 108/841 x)) 2)
(+.f64 1 (-.f64 (/.f64 108/841 x) 1))
(+.f64 (/.f64 108/841 x) 0)
(/.f64 108/841 x)
(pow.f64 (cbrt.f64 (/.f64 108/841 x)) 3)
(+.f64 1 (-.f64 (/.f64 108/841 x) 1))
(+.f64 (/.f64 108/841 x) 0)
(/.f64 108/841 x)
(pow.f64 (pow.f64 (/.f64 108/841 x) 3) 1/3)
(+.f64 1 (-.f64 (/.f64 108/841 x) 1))
(+.f64 (/.f64 108/841 x) 0)
(/.f64 108/841 x)
(sqrt.f64 (/.f64 11664/707281 (*.f64 x x)))
(sqrt.f64 (pow.f64 (*.f64 841/108 x) -2))
(log.f64 (exp.f64 (/.f64 108/841 x)))
(+.f64 1 (-.f64 (/.f64 108/841 x) 1))
(+.f64 (/.f64 108/841 x) 0)
(/.f64 108/841 x)
(cbrt.f64 (pow.f64 (/.f64 108/841 x) 3))
(+.f64 1 (-.f64 (/.f64 108/841 x) 1))
(+.f64 (/.f64 108/841 x) 0)
(/.f64 108/841 x)
(expm1.f64 (log1p.f64 (/.f64 108/841 x)))
(+.f64 1 (-.f64 (/.f64 108/841 x) 1))
(+.f64 (/.f64 108/841 x) 0)
(/.f64 108/841 x)
(exp.f64 (log.f64 (/.f64 108/841 x)))
(+.f64 1 (-.f64 (/.f64 108/841 x) 1))
(+.f64 (/.f64 108/841 x) 0)
(/.f64 108/841 x)
(log1p.f64 (expm1.f64 (/.f64 108/841 x)))
(+.f64 1 (-.f64 (/.f64 108/841 x) 1))
(+.f64 (/.f64 108/841 x) 0)
(/.f64 108/841 x)
(-.f64 (+.f64 1 (*.f64 x 841/108)) 1)
(*.f64 841/108 x)
(*.f64 x 841/108)
(*.f64 841/108 x)
(*.f64 1 (*.f64 x 841/108))
(*.f64 841/108 x)
(*.f64 (*.f64 x 841/108) 1)
(*.f64 841/108 x)
(*.f64 (sqrt.f64 (*.f64 x 841/108)) (sqrt.f64 (*.f64 x 841/108)))
(*.f64 841/108 x)
(*.f64 (cbrt.f64 (*.f64 x 841/108)) (cbrt.f64 (*.f64 707281/11664 (*.f64 x x))))
(*.f64 (cbrt.f64 (*.f64 841/108 x)) (cbrt.f64 (*.f64 (*.f64 x x) 707281/11664)))
(*.f64 (cbrt.f64 (*.f64 841/108 x)) (cbrt.f64 (*.f64 x (*.f64 x 707281/11664))))
(*.f64 (cbrt.f64 (*.f64 707281/11664 (*.f64 x x))) (cbrt.f64 (*.f64 x 841/108)))
(*.f64 (cbrt.f64 (*.f64 841/108 x)) (cbrt.f64 (*.f64 (*.f64 x x) 707281/11664)))
(*.f64 (cbrt.f64 (*.f64 841/108 x)) (cbrt.f64 (*.f64 x (*.f64 x 707281/11664))))
(*.f64 841/108 x)
(*.f64 841/108 (pow.f64 (/.f64 1 x) -1))
(*.f64 841/108 x)
(*.f64 -1 (/.f64 1 (/.f64 -108/841 x)))
(*.f64 841/108 x)
(*.f64 (*.f64 841/108 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 841/108 x)
(*.f64 (*.f64 841/108 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 841/108 x)
(*.f64 -841/108 (neg.f64 x))
(*.f64 841/108 x)
(*.f64 (pow.f64 (sqrt.f64 (/.f64 108/841 x)) -1) (pow.f64 (sqrt.f64 (/.f64 108/841 x)) -1))
(*.f64 841/108 x)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 108/841 x)) 2) -1) (pow.f64 (cbrt.f64 (/.f64 108/841 x)) -1))
(*.f64 841/108 x)
(pow.f64 (/.f64 108/841 x) -1)
(*.f64 841/108 x)
(pow.f64 (*.f64 x 841/108) 1)
(*.f64 841/108 x)
(pow.f64 (sqrt.f64 (*.f64 x 841/108)) 2)
(*.f64 841/108 x)
(pow.f64 (cbrt.f64 (*.f64 x 841/108)) 3)
(*.f64 841/108 x)
(pow.f64 (pow.f64 (*.f64 x 841/108) 3) 1/3)
(*.f64 841/108 x)
(sqrt.f64 (*.f64 707281/11664 (*.f64 x x)))
(sqrt.f64 (*.f64 (*.f64 x x) 707281/11664))
(sqrt.f64 (*.f64 x (*.f64 x 707281/11664)))
(fabs.f64 (*.f64 841/108 x))
(log.f64 (pow.f64 (exp.f64 841/108) x))
(*.f64 841/108 x)
(cbrt.f64 (pow.f64 (*.f64 x 841/108) 3))
(*.f64 841/108 x)
(expm1.f64 (log1p.f64 (*.f64 x 841/108)))
(*.f64 841/108 x)
(exp.f64 (log.f64 (*.f64 x 841/108)))
(*.f64 841/108 x)
(log1p.f64 (expm1.f64 (*.f64 x 841/108)))
(*.f64 841/108 x)

localize12.0ms (0.2%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
100.0%
(-.f64 (/.f64 108/841 x) (/.f64 46656/20511149 (*.f64 x x)))
99.5%
(/.f64 108/841 x)
99.2%
(/.f64 1 (-.f64 (/.f64 108/841 x) (/.f64 46656/20511149 (*.f64 x x))))
99.0%
(/.f64 46656/20511149 (*.f64 x x))
Compiler

Compiled 36 to 21 computations (41.7% saved)

series2.0ms (0%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@0
(/.f64 46656/20511149 (*.f64 x x))
0.0ms
x
@inf
(/.f64 46656/20511149 (*.f64 x x))
0.0ms
x
@0
(/.f64 1 (-.f64 (/.f64 108/841 x) (/.f64 46656/20511149 (*.f64 x x))))
0.0ms
x
@0
(-.f64 (/.f64 108/841 x) (/.f64 46656/20511149 (*.f64 x x)))
0.0ms
x
@inf
(/.f64 1 (-.f64 (/.f64 108/841 x) (/.f64 46656/20511149 (*.f64 x x))))

rewrite122.0ms (2%)

Algorithm
batch-egg-rewrite
Rules
1122×*-commutative
682×associate-/l*
632×associate-/r/
492×distribute-lft-in
488×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01169
125357
2350057
Stop Event
node limit
Counts
3 → 291
Calls
Call 1
Inputs
(/.f64 46656/20511149 (*.f64 x x))
(/.f64 1 (-.f64 (/.f64 108/841 x) (/.f64 46656/20511149 (*.f64 x x))))
(-.f64 (/.f64 108/841 x) (/.f64 46656/20511149 (*.f64 x x)))
Outputs
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108/841 x) 2) (pow.f64 (/.f64 108/841 x) 2)) (*.f64 (/.f64 2176782336/420707233300201 (pow.f64 x 4)) (+.f64 (pow.f64 (/.f64 108/841 x) 2) (/.f64 2176782336/420707233300201 (pow.f64 x 4))))))) (2)) ((/.f64 (-.f64 (pow.f64 (/.f64 1259712/594823321 (pow.f64 x 3)) 3) (pow.f64 (pow.f64 (*.f64 46656/20511149 (pow.f64 x -2)) 3) 3)) (*.f64 (+.f64 (pow.f64 (/.f64 108/841 x) 2) (+.f64 (/.f64 2176782336/420707233300201 (pow.f64 x 4)) (/.f64 5038848/17249876309 (pow.f64 x 3)))) (+.f64 (*.f64 (/.f64 1259712/594823321 (pow.f64 x 3)) (/.f64 1259712/594823321 (pow.f64 x 3))) (*.f64 (pow.f64 (*.f64 46656/20511149 (pow.f64 x -2)) 3) (+.f64 (/.f64 1259712/594823321 (pow.f64 x 3)) (pow.f64 (*.f64 46656/20511149 (pow.f64 x -2)) 3)))))) (2)) ((/.f64 (+.f64 108/841 (/.f64 -46656/20511149 x)) x) (2)) ((/.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 x -841/108) 46656/20511149)) (*.f64 (*.f64 x x) (*.f64 x 841/108))) (2)) ((/.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 x -841/108) 46656/20511149)) (*.f64 1 (*.f64 (*.f64 x x) 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46656/20511149 (pow.f64 x -2)) (/.f64 108/841 x))) (2)) ((/.f64 (neg.f64 (neg.f64 (-.f64 (/.f64 1259712/594823321 (pow.f64 x 3)) (pow.f64 (*.f64 46656/20511149 (pow.f64 x -2)) 3)))) (+.f64 (pow.f64 (/.f64 108/841 x) 2) (+.f64 (/.f64 2176782336/420707233300201 (pow.f64 x 4)) (/.f64 5038848/17249876309 (pow.f64 x 3))))) (2)) ((/.f64 (neg.f64 (neg.f64 (*.f64 x (-.f64 (*.f64 x 108/841) 46656/20511149)))) (pow.f64 x 3)) (2)) ((pow.f64 (/.f64 (+.f64 108/841 (/.f64 -46656/20511149 x)) x) 1) (2)) ((pow.f64 (sqrt.f64 (/.f64 (+.f64 108/841 (/.f64 -46656/20511149 x)) x)) 2) (2)) ((pow.f64 (cbrt.f64 (/.f64 (+.f64 108/841 (/.f64 -46656/20511149 x)) x)) 3) (2)) ((pow.f64 (pow.f64 (/.f64 (+.f64 108/841 (/.f64 -46656/20511149 x)) x) 3) 1/3) (2)) ((neg.f64 (/.f64 (neg.f64 (+.f64 108/841 (/.f64 -46656/20511149 x))) x)) (2)) ((neg.f64 (/.f64 (+.f64 (pow.f64 (/.f64 108/841 x) 2) (/.f64 -2176782336/420707233300201 (pow.f64 x 4))) (+.f64 (*.f64 (pow.f64 x -2) -46656/20511149) (/.f64 -108/841 x)))) (2)) 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-46656/20511149)) (2)) ((fma.f64 108/841 (/.f64 1 x) (*.f64 (pow.f64 x -2) -46656/20511149)) (2)) ((fma.f64 (sqrt.f64 (/.f64 108/841 x)) (sqrt.f64 (/.f64 108/841 x)) (*.f64 (pow.f64 x -2) -46656/20511149)) (2)) ((fma.f64 (pow.f64 (cbrt.f64 (/.f64 108/841 x)) 2) (cbrt.f64 (/.f64 108/841 x)) (*.f64 (pow.f64 x -2) -46656/20511149)) (2)))

simplify174.0ms (2.8%)

Algorithm
egg-herbie
Rules
1560×associate-*r*
1070×associate-*l*
948×*-commutative
884×associate-/r*
756×associate-/l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
073016959
1212916061
Stop Event
node limit
Counts
327 → 506
Calls
Call 1
Inputs
(/.f64 46656/20511149 (pow.f64 x 2))
(/.f64 46656/20511149 (pow.f64 x 2))
(/.f64 46656/20511149 (pow.f64 x 2))
(/.f64 46656/20511149 (pow.f64 x 2))
(/.f64 46656/20511149 (pow.f64 x 2))
(/.f64 46656/20511149 (pow.f64 x 2))
(/.f64 46656/20511149 (pow.f64 x 2))
(/.f64 46656/20511149 (pow.f64 x 2))
(/.f64 46656/20511149 (pow.f64 x 2))
(/.f64 46656/20511149 (pow.f64 x 2))
(/.f64 46656/20511149 (pow.f64 x 2))
(/.f64 46656/20511149 (pow.f64 x 2))
(*.f64 -20511149/46656 (pow.f64 x 2))
(+.f64 (*.f64 -20511149/46656 (pow.f64 x 2)) (*.f64 -500246412961/20155392 (pow.f64 x 3)))
(+.f64 (*.f64 -20511149/46656 (pow.f64 x 2)) (+.f64 (*.f64 -12200509765705829/8707129344 (pow.f64 x 4)) (*.f64 -500246412961/20155392 (pow.f64 x 3))))
(+.f64 (*.f64 -20511149/46656 (pow.f64 x 2)) (+.f64 (*.f64 -12200509765705829/8707129344 (pow.f64 x 4)) (+.f64 (*.f64 -297558232675799463481/3761479876608 (pow.f64 x 5)) (*.f64 -500246412961/20155392 (pow.f64 x 3)))))
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (+.f64 (*.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x))))
(+.f64 4/29 (+.f64 (*.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x)))))
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (+.f64 (*.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x))))
(+.f64 4/29 (+.f64 (*.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x)))))
(/.f64 -46656/20511149 (pow.f64 x 2))
(-.f64 (*.f64 108/841 (/.f64 1 x)) (*.f64 46656/20511149 (/.f64 1 (pow.f64 x 2))))
(-.f64 (*.f64 108/841 (/.f64 1 x)) (*.f64 46656/20511149 (/.f64 1 (pow.f64 x 2))))
(-.f64 (*.f64 108/841 (/.f64 1 x)) (*.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 108/841 (/.f64 1 x)) (*.f64 46656/20511149 (/.f64 1 (pow.f64 x 2))))
(-.f64 (*.f64 108/841 (/.f64 1 x)) (*.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 108/841 (/.f64 1 x)) (*.f64 46656/20511149 (/.f64 1 (pow.f64 x 2))))
(-.f64 (*.f64 108/841 (/.f64 1 x)) (*.f64 46656/20511149 (/.f64 1 (pow.f64 x 2))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 46656/20511149 (pow.f64 x -2)))) 1)
(*.f64 46656/20511149 (pow.f64 x -2))
(*.f64 46656/20511149 (neg.f64 (neg.f64 (pow.f64 x -2))))
(*.f64 (*.f64 46656/20511149 (pow.f64 x -2)) 1)
(*.f64 1 (*.f64 46656/20511149 (pow.f64 x -2)))
(*.f64 (/.f64 (sqrt.f64 46656/20511149) x) (/.f64 (sqrt.f64 46656/20511149) x))
(*.f64 (/.f64 (sqrt.f64 46656/20511149) x) (neg.f64 (neg.f64 (/.f64 (sqrt.f64 46656/20511149) x))))
(*.f64 (cbrt.f64 (*.f64 46656/20511149 (pow.f64 x -2))) (cbrt.f64 (/.f64 2176782336/420707233300201 (pow.f64 x 4))))
(*.f64 (cbrt.f64 (/.f64 2176782336/420707233300201 (pow.f64 x 4))) (cbrt.f64 (*.f64 46656/20511149 (pow.f64 x -2))))
(*.f64 (cbrt.f64 (/.f64 2176782336/420707233300201 (pow.f64 x 4))) (neg.f64 (neg.f64 (cbrt.f64 (*.f64 46656/20511149 (pow.f64 x -2))))))
(*.f64 (/.f64 46656/20511149 x) (/.f64 1 x))
(*.f64 (/.f64 1 x) (/.f64 46656/20511149 x))
(*.f64 (pow.f64 x -2) 46656/20511149)
(*.f64 -46656/20511149 (neg.f64 (pow.f64 x -2)))
(*.f64 -1 (*.f64 (pow.f64 x -2) -46656/20511149))
(*.f64 (sqrt.f64 (*.f64 (pow.f64 x -2) -46656/20511149)) (neg.f64 (sqrt.f64 (*.f64 (pow.f64 x -2) -46656/20511149))))
(*.f64 (*.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) -46656/20511149)) (cbrt.f64 (*.f64 (pow.f64 x -2) -46656/20511149))) (neg.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) -46656/20511149))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 46656/20511149 (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (neg.f64 (/.f64 (sqrt.f64 46656/20511149) x)) (neg.f64 (/.f64 (sqrt.f64 46656/20511149) x)))
(*.f64 (neg.f64 (cbrt.f64 (/.f64 2176782336/420707233300201 (pow.f64 x 4)))) (neg.f64 (cbrt.f64 (*.f64 46656/20511149 (pow.f64 x -2)))))
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(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 x x) 20511149/46656) -108/841) x) (*.f64 1 (*.f64 (*.f64 (*.f64 x x) 20511149/46656) (neg.f64 x))))
(/.f64 (+.f64 (*.f64 x -108/841) (*.f64 x (/.f64 46656/20511149 x))) (*.f64 x (neg.f64 x)))
(/.f64 (+.f64 (*.f64 -108/841 (*.f64 x (neg.f64 x))) (*.f64 x -46656/20511149)) (neg.f64 (neg.f64 (pow.f64 x 3))))
(/.f64 (+.f64 (*.f64 -108/841 (*.f64 x (neg.f64 x))) (*.f64 x -46656/20511149)) (*.f64 1 (neg.f64 (neg.f64 (pow.f64 x 3)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 108/841 x) 2) (/.f64 -2176782336/420707233300201 (pow.f64 x 4))))) (+.f64 (*.f64 46656/20511149 (pow.f64 x -2)) (/.f64 108/841 x)))
(/.f64 (neg.f64 (neg.f64 (-.f64 (/.f64 1259712/594823321 (pow.f64 x 3)) (pow.f64 (*.f64 46656/20511149 (pow.f64 x -2)) 3)))) (+.f64 (pow.f64 (/.f64 108/841 x) 2) (+.f64 (/.f64 2176782336/420707233300201 (pow.f64 x 4)) (/.f64 5038848/17249876309 (pow.f64 x 3)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 x (-.f64 (*.f64 x 108/841) 46656/20511149)))) (pow.f64 x 3))
(pow.f64 (/.f64 (+.f64 108/841 (/.f64 -46656/20511149 x)) x) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 108/841 (/.f64 -46656/20511149 x)) x)) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 108/841 (/.f64 -46656/20511149 x)) x)) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 108/841 (/.f64 -46656/20511149 x)) x) 3) 1/3)
(neg.f64 (/.f64 (neg.f64 (+.f64 108/841 (/.f64 -46656/20511149 x))) x))
(neg.f64 (/.f64 (+.f64 (pow.f64 (/.f64 108/841 x) 2) (/.f64 -2176782336/420707233300201 (pow.f64 x 4))) (+.f64 (*.f64 (pow.f64 x -2) -46656/20511149) (/.f64 -108/841 x))))
(neg.f64 (/.f64 (-.f64 (/.f64 1259712/594823321 (pow.f64 x 3)) (pow.f64 (*.f64 46656/20511149 (pow.f64 x -2)) 3)) (neg.f64 (+.f64 (pow.f64 (/.f64 108/841 x) 2) (+.f64 (/.f64 2176782336/420707233300201 (pow.f64 x 4)) (/.f64 5038848/17249876309 (pow.f64 x 3)))))))
(neg.f64 (/.f64 (*.f64 x (-.f64 (*.f64 x 108/841) 46656/20511149)) (neg.f64 (pow.f64 x 3))))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 108/841 (/.f64 -46656/20511149 x)) x) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 108/841 (/.f64 -46656/20511149 x)) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 108/841 (/.f64 -46656/20511149 x)) x))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 108/841 (/.f64 -46656/20511149 x)) x) 3))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 108/841 (/.f64 -46656/20511149 x)) x)))
(exp.f64 (log.f64 (/.f64 (+.f64 108/841 (/.f64 -46656/20511149 x)) x)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 108/841 (/.f64 -46656/20511149 x)) x)))
(fma.f64 1 (/.f64 108/841 x) (*.f64 (pow.f64 x -2) -46656/20511149))
(fma.f64 108/841 (/.f64 1 x) (*.f64 (pow.f64 x -2) -46656/20511149))
(fma.f64 (sqrt.f64 (/.f64 108/841 x)) (sqrt.f64 (/.f64 108/841 x)) (*.f64 (pow.f64 x -2) -46656/20511149))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 108/841 x)) 2) (cbrt.f64 (/.f64 108/841 x)) (*.f64 (pow.f64 x -2) -46656/20511149))
Outputs
(/.f64 46656/20511149 (pow.f64 x 2))
(/.f64 46656/20511149 (*.f64 x x))
(/.f64 (/.f64 46656/20511149 x) x)
(/.f64 46656/20511149 (pow.f64 x 2))
(/.f64 46656/20511149 (*.f64 x x))
(/.f64 (/.f64 46656/20511149 x) x)
(/.f64 46656/20511149 (pow.f64 x 2))
(/.f64 46656/20511149 (*.f64 x x))
(/.f64 (/.f64 46656/20511149 x) x)
(/.f64 46656/20511149 (pow.f64 x 2))
(/.f64 46656/20511149 (*.f64 x x))
(/.f64 (/.f64 46656/20511149 x) x)
(/.f64 46656/20511149 (pow.f64 x 2))
(/.f64 46656/20511149 (*.f64 x x))
(/.f64 (/.f64 46656/20511149 x) x)
(/.f64 46656/20511149 (pow.f64 x 2))
(/.f64 46656/20511149 (*.f64 x x))
(/.f64 (/.f64 46656/20511149 x) x)
(/.f64 46656/20511149 (pow.f64 x 2))
(/.f64 46656/20511149 (*.f64 x x))
(/.f64 (/.f64 46656/20511149 x) x)
(/.f64 46656/20511149 (pow.f64 x 2))
(/.f64 46656/20511149 (*.f64 x x))
(/.f64 (/.f64 46656/20511149 x) x)
(/.f64 46656/20511149 (pow.f64 x 2))
(/.f64 46656/20511149 (*.f64 x x))
(/.f64 (/.f64 46656/20511149 x) x)
(/.f64 46656/20511149 (pow.f64 x 2))
(/.f64 46656/20511149 (*.f64 x x))
(/.f64 (/.f64 46656/20511149 x) x)
(/.f64 46656/20511149 (pow.f64 x 2))
(/.f64 46656/20511149 (*.f64 x x))
(/.f64 (/.f64 46656/20511149 x) x)
(/.f64 46656/20511149 (pow.f64 x 2))
(/.f64 46656/20511149 (*.f64 x x))
(/.f64 (/.f64 46656/20511149 x) x)
(*.f64 -20511149/46656 (pow.f64 x 2))
(*.f64 -20511149/46656 (*.f64 x x))
(*.f64 (*.f64 -20511149/46656 x) x)
(+.f64 (*.f64 -20511149/46656 (pow.f64 x 2)) (*.f64 -500246412961/20155392 (pow.f64 x 3)))
(fma.f64 -20511149/46656 (*.f64 x x) (*.f64 -500246412961/20155392 (pow.f64 x 3)))
(+.f64 (*.f64 -20511149/46656 (pow.f64 x 2)) (+.f64 (*.f64 -12200509765705829/8707129344 (pow.f64 x 4)) (*.f64 -500246412961/20155392 (pow.f64 x 3))))
(fma.f64 -20511149/46656 (*.f64 x x) (fma.f64 -12200509765705829/8707129344 (pow.f64 x 4) (*.f64 -500246412961/20155392 (pow.f64 x 3))))
(+.f64 (*.f64 -20511149/46656 (pow.f64 x 2)) (+.f64 (*.f64 -12200509765705829/8707129344 (pow.f64 x 4)) (+.f64 (*.f64 -297558232675799463481/3761479876608 (pow.f64 x 5)) (*.f64 -500246412961/20155392 (pow.f64 x 3)))))
(fma.f64 -20511149/46656 (*.f64 x x) (fma.f64 -12200509765705829/8707129344 (pow.f64 x 4) (fma.f64 -297558232675799463481/3761479876608 (pow.f64 x 5) (*.f64 -500246412961/20155392 (pow.f64 x 3)))))
(*.f64 841/108 x)
(*.f64 x 841/108)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 x 841/108))
(+.f64 4/29 (+.f64 (*.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x))))
(+.f64 4/29 (fma.f64 841/108 x (/.f64 1728/707281 x)))
(+.f64 4/29 (+.f64 (*.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x)))))
(+.f64 4/29 (+.f64 (fma.f64 841/108 x (/.f64 1728/707281 x)) (/.f64 746496/17249876309 (*.f64 x x))))
(*.f64 841/108 x)
(*.f64 x 841/108)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 x 841/108))
(+.f64 4/29 (+.f64 (*.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x))))
(+.f64 4/29 (fma.f64 841/108 x (/.f64 1728/707281 x)))
(+.f64 4/29 (+.f64 (*.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x)))))
(+.f64 4/29 (+.f64 (fma.f64 841/108 x (/.f64 1728/707281 x)) (/.f64 746496/17249876309 (*.f64 x x))))
(/.f64 -46656/20511149 (pow.f64 x 2))
(/.f64 -46656/20511149 (*.f64 x x))
(/.f64 (/.f64 -46656/20511149 x) 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 (/.f64 -46656/20511149 x) 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 (/.f64 -46656/20511149 x) 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 (/.f64 -46656/20511149 x) x))
(/.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 (/.f64 -46656/20511149 x) 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 (/.f64 -46656/20511149 x) 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 (/.f64 -46656/20511149 x) x))
(/.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 (/.f64 -46656/20511149 x) 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 (/.f64 -46656/20511149 x) 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 (/.f64 -46656/20511149 x) x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 46656/20511149 (pow.f64 x -2)))) 1)
(*.f64 46656/20511149 (pow.f64 x -2))
(*.f64 46656/20511149 (pow.f64 x -2))
(*.f64 46656/20511149 (neg.f64 (neg.f64 (pow.f64 x -2))))
(*.f64 46656/20511149 (pow.f64 x -2))
(*.f64 (*.f64 46656/20511149 (pow.f64 x -2)) 1)
(*.f64 46656/20511149 (pow.f64 x -2))
(*.f64 1 (*.f64 46656/20511149 (pow.f64 x -2)))
(*.f64 46656/20511149 (pow.f64 x -2))
(*.f64 (/.f64 (sqrt.f64 46656/20511149) x) (/.f64 (sqrt.f64 46656/20511149) x))
(pow.f64 (/.f64 (sqrt.f64 46656/20511149) x) 2)
(*.f64 (/.f64 (sqrt.f64 46656/20511149) x) (neg.f64 (neg.f64 (/.f64 (sqrt.f64 46656/20511149) x))))
(pow.f64 (/.f64 (sqrt.f64 46656/20511149) x) 2)
(*.f64 (cbrt.f64 (*.f64 46656/20511149 (pow.f64 x -2))) (cbrt.f64 (/.f64 2176782336/420707233300201 (pow.f64 x 4))))
(*.f64 (cbrt.f64 (/.f64 2176782336/420707233300201 (pow.f64 x 4))) (cbrt.f64 (*.f64 46656/20511149 (pow.f64 x -2))))
(*.f64 (cbrt.f64 (*.f64 46656/20511149 (pow.f64 x -2))) (cbrt.f64 (/.f64 2176782336/420707233300201 (pow.f64 x 4))))
(*.f64 (cbrt.f64 (/.f64 2176782336/420707233300201 (pow.f64 x 4))) (neg.f64 (neg.f64 (cbrt.f64 (*.f64 46656/20511149 (pow.f64 x -2))))))
(*.f64 (cbrt.f64 (*.f64 46656/20511149 (pow.f64 x -2))) (cbrt.f64 (/.f64 2176782336/420707233300201 (pow.f64 x 4))))
(*.f64 (/.f64 46656/20511149 x) (/.f64 1 x))
(/.f64 46656/20511149 (*.f64 x x))
(/.f64 (/.f64 46656/20511149 x) x)
(*.f64 (/.f64 1 x) (/.f64 46656/20511149 x))
(/.f64 46656/20511149 (*.f64 x x))
(/.f64 (/.f64 46656/20511149 x) x)
(*.f64 (pow.f64 x -2) 46656/20511149)
(*.f64 46656/20511149 (pow.f64 x -2))
(*.f64 -46656/20511149 (neg.f64 (pow.f64 x -2)))
(*.f64 46656/20511149 (pow.f64 x -2))
(*.f64 -1 (*.f64 (pow.f64 x -2) -46656/20511149))
(*.f64 46656/20511149 (pow.f64 x -2))
(*.f64 (sqrt.f64 (*.f64 (pow.f64 x -2) -46656/20511149)) (neg.f64 (sqrt.f64 (*.f64 (pow.f64 x -2) -46656/20511149))))
(*.f64 (sqrt.f64 (*.f64 -46656/20511149 (pow.f64 x -2))) (neg.f64 (sqrt.f64 (*.f64 -46656/20511149 (pow.f64 x -2)))))
(*.f64 (*.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) -46656/20511149)) (cbrt.f64 (*.f64 (pow.f64 x -2) -46656/20511149))) (neg.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) -46656/20511149))))
(*.f64 (cbrt.f64 (*.f64 -46656/20511149 (pow.f64 x -2))) (*.f64 (cbrt.f64 (*.f64 -46656/20511149 (pow.f64 x -2))) (neg.f64 (cbrt.f64 (*.f64 -46656/20511149 (pow.f64 x -2))))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 46656/20511149 (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (/.f64 46656/20511149 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 x 4)))
(*.f64 (neg.f64 (/.f64 (sqrt.f64 46656/20511149) x)) (neg.f64 (/.f64 (sqrt.f64 46656/20511149) x)))
(pow.f64 (/.f64 (sqrt.f64 46656/20511149) x) 2)
(*.f64 (neg.f64 (cbrt.f64 (/.f64 2176782336/420707233300201 (pow.f64 x 4)))) (neg.f64 (cbrt.f64 (*.f64 46656/20511149 (pow.f64 x -2)))))
(*.f64 (cbrt.f64 (*.f64 46656/20511149 (pow.f64 x -2))) (cbrt.f64 (/.f64 2176782336/420707233300201 (pow.f64 x 4))))
(*.f64 (neg.f64 (pow.f64 x -2)) -46656/20511149)
(*.f64 46656/20511149 (pow.f64 x -2))
(*.f64 (neg.f64 (sqrt.f64 (*.f64 (pow.f64 x -2) -46656/20511149))) (sqrt.f64 (*.f64 (pow.f64 x -2) -46656/20511149)))
(*.f64 (sqrt.f64 (*.f64 -46656/20511149 (pow.f64 x -2))) (neg.f64 (sqrt.f64 (*.f64 -46656/20511149 (pow.f64 x -2)))))
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) -46656/20511149)) (cbrt.f64 (*.f64 (pow.f64 x -2) -46656/20511149)))) (cbrt.f64 (*.f64 (pow.f64 x -2) -46656/20511149)))
(*.f64 (cbrt.f64 (*.f64 -46656/20511149 (pow.f64 x -2))) (*.f64 (cbrt.f64 (*.f64 -46656/20511149 (pow.f64 x -2))) (neg.f64 (cbrt.f64 (*.f64 -46656/20511149 (pow.f64 x -2))))))
(*.f64 (neg.f64 (neg.f64 (/.f64 (sqrt.f64 46656/20511149) x))) (/.f64 (sqrt.f64 46656/20511149) x))
(pow.f64 (/.f64 (sqrt.f64 46656/20511149) x) 2)
(*.f64 (neg.f64 (neg.f64 (cbrt.f64 (/.f64 2176782336/420707233300201 (pow.f64 x 4))))) (cbrt.f64 (*.f64 46656/20511149 (pow.f64 x -2))))
(*.f64 (cbrt.f64 (*.f64 46656/20511149 (pow.f64 x -2))) (cbrt.f64 (/.f64 2176782336/420707233300201 (pow.f64 x 4))))
(pow.f64 (*.f64 46656/20511149 (pow.f64 x -2)) 1)
(*.f64 46656/20511149 (pow.f64 x -2))
(pow.f64 (/.f64 (sqrt.f64 46656/20511149) x) 2)
(pow.f64 (cbrt.f64 (*.f64 46656/20511149 (pow.f64 x -2))) 3)
(*.f64 46656/20511149 (pow.f64 x -2))
(pow.f64 (*.f64 (*.f64 x x) 20511149/46656) -1)
(/.f64 46656/20511149 (*.f64 x x))
(/.f64 (/.f64 46656/20511149 x) x)
(pow.f64 (pow.f64 (*.f64 46656/20511149 (pow.f64 x -2)) 3) 1/3)
(*.f64 46656/20511149 (pow.f64 x -2))
(neg.f64 (*.f64 (pow.f64 x -2) -46656/20511149))
(*.f64 46656/20511149 (pow.f64 x -2))
(neg.f64 (/.f64 (/.f64 46656/20511149 x) (neg.f64 x)))
(/.f64 (neg.f64 (/.f64 46656/20511149 x)) (neg.f64 x))
(/.f64 -46656/20511149 (*.f64 x (neg.f64 x)))
(sqrt.f64 (/.f64 2176782336/420707233300201 (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 46656/20511149) (pow.f64 x -2)))
(*.f64 (pow.f64 x -2) (log.f64 (exp.f64 46656/20511149)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 46656/20511149 (pow.f64 x -2)))))
(*.f64 46656/20511149 (pow.f64 x -2))
(cbrt.f64 (pow.f64 (*.f64 46656/20511149 (pow.f64 x -2)) 3))
(*.f64 46656/20511149 (pow.f64 x -2))
(expm1.f64 (log1p.f64 (*.f64 46656/20511149 (pow.f64 x -2))))
(*.f64 46656/20511149 (pow.f64 x -2))
(exp.f64 (log.f64 (*.f64 46656/20511149 (pow.f64 x -2))))
(*.f64 46656/20511149 (pow.f64 x -2))
(log1p.f64 (expm1.f64 (*.f64 46656/20511149 (pow.f64 x -2))))
(*.f64 46656/20511149 (pow.f64 x -2))
(+.f64 (*.f64 (/.f64 1 (+.f64 (pow.f64 (/.f64 108/841 x) 2) (/.f64 -2176782336/420707233300201 (pow.f64 x 4)))) (*.f64 46656/20511149 (pow.f64 x -2))) (*.f64 (/.f64 1 (+.f64 (pow.f64 (/.f64 108/841 x) 2) (/.f64 -2176782336/420707233300201 (pow.f64 x 4)))) (/.f64 108/841 x)))
(/.f64 (fma.f64 46656/20511149 (pow.f64 x -2) (/.f64 108/841 x)) (+.f64 (pow.f64 (/.f64 108/841 x) 2) (/.f64 -2176782336/420707233300201 (pow.f64 x 4))))
(+.f64 (*.f64 (/.f64 1 (+.f64 (pow.f64 (/.f64 108/841 x) 2) (/.f64 -2176782336/420707233300201 (pow.f64 x 4)))) (/.f64 108/841 x)) (*.f64 (/.f64 1 (+.f64 (pow.f64 (/.f64 108/841 x) 2) (/.f64 -2176782336/420707233300201 (pow.f64 x 4)))) (*.f64 46656/20511149 (pow.f64 x -2))))
(/.f64 (fma.f64 46656/20511149 (pow.f64 x -2) (/.f64 108/841 x)) (+.f64 (pow.f64 (/.f64 108/841 x) 2) (/.f64 -2176782336/420707233300201 (pow.f64 x 4))))
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(/.f64 (+.f64 x (*.f64 (*.f64 x -841/108) (/.f64 46656/20511149 x))) (*.f64 x (*.f64 x 841/108)))
(/.f64 (+.f64 x (/.f64 (*.f64 x -432/24389) x)) (*.f64 x (*.f64 x 841/108)))
(/.f64 (+.f64 x (*.f64 x (/.f64 -432/24389 x))) (*.f64 x (*.f64 x 841/108)))
(/.f64 (+.f64 x (*.f64 (*.f64 x -841/108) (/.f64 46656/20511149 x))) (*.f64 1 (*.f64 x (*.f64 x 841/108))))
(/.f64 (+.f64 x (/.f64 (*.f64 x -432/24389) x)) (*.f64 x (*.f64 x 841/108)))
(/.f64 (+.f64 x (*.f64 x (/.f64 -432/24389 x))) (*.f64 x (*.f64 x 841/108)))
(/.f64 (+.f64 (*.f64 x (neg.f64 x)) (*.f64 (*.f64 x -841/108) -46656/20511149)) (*.f64 (*.f64 x 841/108) (*.f64 x (neg.f64 x))))
(/.f64 (fma.f64 x (neg.f64 x) (*.f64 x 432/24389)) (*.f64 x (*.f64 841/108 (*.f64 x (neg.f64 x)))))
(/.f64 (*.f64 x (+.f64 (neg.f64 x) 432/24389)) (*.f64 841/108 (neg.f64 (pow.f64 x 3))))
(/.f64 (+.f64 (*.f64 x (neg.f64 x)) (*.f64 (*.f64 x -841/108) -46656/20511149)) (*.f64 1 (*.f64 (*.f64 x 841/108) (*.f64 x (neg.f64 x)))))
(/.f64 (fma.f64 x (neg.f64 x) (*.f64 x 432/24389)) (*.f64 x (*.f64 841/108 (*.f64 x (neg.f64 x)))))
(/.f64 (*.f64 x (+.f64 (neg.f64 x) 432/24389)) (*.f64 841/108 (neg.f64 (pow.f64 x 3))))
(/.f64 (-.f64 (*.f64 108/841 (*.f64 (*.f64 x x) 20511149/46656)) x) (*.f64 x (*.f64 (*.f64 x x) 20511149/46656)))
(/.f64 (fma.f64 108/841 (*.f64 x (*.f64 x 20511149/46656)) (neg.f64 x)) (*.f64 (pow.f64 x 3) 20511149/46656))
(/.f64 (-.f64 (*.f64 (*.f64 x x) 24389/432) x) (*.f64 (pow.f64 x 3) 20511149/46656))
(/.f64 (-.f64 (*.f64 108/841 (*.f64 (*.f64 x x) 20511149/46656)) x) (*.f64 1 (*.f64 x (*.f64 (*.f64 x x) 20511149/46656))))
(/.f64 (fma.f64 108/841 (*.f64 x (*.f64 x 20511149/46656)) (neg.f64 x)) (*.f64 (pow.f64 x 3) 20511149/46656))
(/.f64 (-.f64 (*.f64 (*.f64 x x) 24389/432) x) (*.f64 (pow.f64 x 3) 20511149/46656))
(/.f64 (-.f64 (*.f64 x 108/841) (*.f64 x (/.f64 46656/20511149 x))) (*.f64 x x))
(/.f64 (*.f64 x (-.f64 108/841 (/.f64 46656/20511149 x))) (*.f64 x x))
(/.f64 (+.f64 (*.f64 (*.f64 x x) -108/841) (*.f64 46656/20511149 x)) (neg.f64 (pow.f64 x 3)))
(/.f64 (fma.f64 (*.f64 x x) -108/841 (*.f64 46656/20511149 x)) (neg.f64 (pow.f64 x 3)))
(/.f64 (*.f64 x (+.f64 46656/20511149 (*.f64 x -108/841))) (neg.f64 (pow.f64 x 3)))
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 x x) 20511149/46656) -108/841) x) (*.f64 (*.f64 (*.f64 x x) 20511149/46656) (neg.f64 x)))
(/.f64 (+.f64 x (*.f64 (*.f64 x x) -24389/432)) (neg.f64 (*.f64 (pow.f64 x 3) 20511149/46656)))
(/.f64 (+.f64 x (*.f64 x (*.f64 x -24389/432))) (*.f64 (pow.f64 x 3) -20511149/46656))
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 x x) 20511149/46656) -108/841) x) (*.f64 1 (*.f64 (*.f64 (*.f64 x x) 20511149/46656) (neg.f64 x))))
(/.f64 (+.f64 x (*.f64 (*.f64 x x) -24389/432)) (neg.f64 (*.f64 (pow.f64 x 3) 20511149/46656)))
(/.f64 (+.f64 x (*.f64 x (*.f64 x -24389/432))) (*.f64 (pow.f64 x 3) -20511149/46656))
(/.f64 (+.f64 (*.f64 x -108/841) (*.f64 x (/.f64 46656/20511149 x))) (*.f64 x (neg.f64 x)))
(/.f64 (*.f64 x (+.f64 -108/841 (/.f64 46656/20511149 x))) (*.f64 x (neg.f64 x)))
(/.f64 x (/.f64 (*.f64 x (neg.f64 x)) (+.f64 (/.f64 46656/20511149 x) -108/841)))
(/.f64 (+.f64 (*.f64 -108/841 (*.f64 x (neg.f64 x))) (*.f64 x -46656/20511149)) (neg.f64 (neg.f64 (pow.f64 x 3))))
(/.f64 (fma.f64 -108/841 (*.f64 x (neg.f64 x)) (*.f64 x -46656/20511149)) (pow.f64 x 3))
(/.f64 (+.f64 (*.f64 -108/841 (*.f64 x (neg.f64 x))) (*.f64 x -46656/20511149)) (*.f64 1 (neg.f64 (neg.f64 (pow.f64 x 3)))))
(/.f64 (fma.f64 -108/841 (*.f64 x (neg.f64 x)) (*.f64 x -46656/20511149)) (pow.f64 x 3))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 108/841 x) 2) (/.f64 -2176782336/420707233300201 (pow.f64 x 4))))) (+.f64 (*.f64 46656/20511149 (pow.f64 x -2)) (/.f64 108/841 x)))
(*.f64 (+.f64 (pow.f64 (/.f64 108/841 x) 2) (/.f64 -2176782336/420707233300201 (pow.f64 x 4))) (/.f64 1 (fma.f64 46656/20511149 (pow.f64 x -2) (/.f64 108/841 x))))
(/.f64 (+.f64 (pow.f64 (/.f64 108/841 x) 2) (/.f64 -2176782336/420707233300201 (pow.f64 x 4))) (fma.f64 46656/20511149 (pow.f64 x -2) (/.f64 108/841 x)))
(/.f64 (neg.f64 (neg.f64 (-.f64 (/.f64 1259712/594823321 (pow.f64 x 3)) (pow.f64 (*.f64 46656/20511149 (pow.f64 x -2)) 3)))) (+.f64 (pow.f64 (/.f64 108/841 x) 2) (+.f64 (/.f64 2176782336/420707233300201 (pow.f64 x 4)) (/.f64 5038848/17249876309 (pow.f64 x 3)))))
(/.f64 (*.f64 (-.f64 (/.f64 1259712/594823321 (pow.f64 x 3)) (pow.f64 (*.f64 46656/20511149 (pow.f64 x -2)) 3)) 1) (+.f64 (pow.f64 (/.f64 108/841 x) 2) (+.f64 (/.f64 2176782336/420707233300201 (pow.f64 x 4)) (/.f64 5038848/17249876309 (pow.f64 x 3)))))
(/.f64 (+.f64 (/.f64 1259712/594823321 (pow.f64 x 3)) (*.f64 (pow.f64 (pow.f64 x -2) 3) -101559956668416/8629188747598184440949)) (+.f64 (/.f64 2176782336/420707233300201 (pow.f64 x 4)) (+.f64 (pow.f64 (/.f64 108/841 x) 2) (/.f64 5038848/17249876309 (pow.f64 x 3)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 x (-.f64 (*.f64 x 108/841) 46656/20511149)))) (pow.f64 x 3))
(*.f64 (*.f64 x (fma.f64 x 108/841 -46656/20511149)) (/.f64 1 (pow.f64 x 3)))
(/.f64 x (/.f64 (pow.f64 x 3) (fma.f64 x 108/841 -46656/20511149)))
(pow.f64 (/.f64 (+.f64 108/841 (/.f64 -46656/20511149 x)) x) 1)
(/.f64 (+.f64 108/841 (/.f64 -46656/20511149 x)) x)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 108/841 (/.f64 -46656/20511149 x)) x)) 2)
(/.f64 (+.f64 108/841 (/.f64 -46656/20511149 x)) x)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 108/841 (/.f64 -46656/20511149 x)) x)) 3)
(/.f64 (+.f64 108/841 (/.f64 -46656/20511149 x)) x)
(pow.f64 (pow.f64 (/.f64 (+.f64 108/841 (/.f64 -46656/20511149 x)) x) 3) 1/3)
(/.f64 (+.f64 108/841 (/.f64 -46656/20511149 x)) x)
(neg.f64 (/.f64 (neg.f64 (+.f64 108/841 (/.f64 -46656/20511149 x))) x))
(/.f64 (+.f64 108/841 (/.f64 -46656/20511149 x)) x)
(neg.f64 (/.f64 (+.f64 (pow.f64 (/.f64 108/841 x) 2) (/.f64 -2176782336/420707233300201 (pow.f64 x 4))) (+.f64 (*.f64 (pow.f64 x -2) -46656/20511149) (/.f64 -108/841 x))))
(/.f64 (+.f64 (neg.f64 (pow.f64 (/.f64 108/841 x) 2)) (/.f64 2176782336/420707233300201 (pow.f64 x 4))) (fma.f64 (pow.f64 x -2) -46656/20511149 (/.f64 -108/841 x)))
(/.f64 (-.f64 (/.f64 2176782336/420707233300201 (pow.f64 x 4)) (pow.f64 (/.f64 108/841 x) 2)) (fma.f64 (pow.f64 x -2) -46656/20511149 (/.f64 -108/841 x)))
(neg.f64 (/.f64 (-.f64 (/.f64 1259712/594823321 (pow.f64 x 3)) (pow.f64 (*.f64 46656/20511149 (pow.f64 x -2)) 3)) (neg.f64 (+.f64 (pow.f64 (/.f64 108/841 x) 2) (+.f64 (/.f64 2176782336/420707233300201 (pow.f64 x 4)) (/.f64 5038848/17249876309 (pow.f64 x 3)))))))
(/.f64 (*.f64 (-.f64 (/.f64 1259712/594823321 (pow.f64 x 3)) (pow.f64 (*.f64 46656/20511149 (pow.f64 x -2)) 3)) 1) (+.f64 (pow.f64 (/.f64 108/841 x) 2) (+.f64 (/.f64 2176782336/420707233300201 (pow.f64 x 4)) (/.f64 5038848/17249876309 (pow.f64 x 3)))))
(/.f64 (+.f64 (/.f64 1259712/594823321 (pow.f64 x 3)) (*.f64 (pow.f64 (pow.f64 x -2) 3) -101559956668416/8629188747598184440949)) (+.f64 (/.f64 2176782336/420707233300201 (pow.f64 x 4)) (+.f64 (pow.f64 (/.f64 108/841 x) 2) (/.f64 5038848/17249876309 (pow.f64 x 3)))))
(neg.f64 (/.f64 (*.f64 x (-.f64 (*.f64 x 108/841) 46656/20511149)) (neg.f64 (pow.f64 x 3))))
(*.f64 (*.f64 x (fma.f64 x 108/841 -46656/20511149)) (/.f64 1 (pow.f64 x 3)))
(/.f64 x (/.f64 (pow.f64 x 3) (fma.f64 x 108/841 -46656/20511149)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 108/841 (/.f64 -46656/20511149 x)) x) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 108/841 (/.f64 -46656/20511149 x)) x)))
(/.f64 (+.f64 108/841 (/.f64 -46656/20511149 x)) x)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 108/841 (/.f64 -46656/20511149 x)) x))))
(/.f64 (+.f64 108/841 (/.f64 -46656/20511149 x)) x)
(cbrt.f64 (pow.f64 (/.f64 (+.f64 108/841 (/.f64 -46656/20511149 x)) x) 3))
(/.f64 (+.f64 108/841 (/.f64 -46656/20511149 x)) x)
(expm1.f64 (log1p.f64 (/.f64 (+.f64 108/841 (/.f64 -46656/20511149 x)) x)))
(/.f64 (+.f64 108/841 (/.f64 -46656/20511149 x)) x)
(exp.f64 (log.f64 (/.f64 (+.f64 108/841 (/.f64 -46656/20511149 x)) x)))
(/.f64 (+.f64 108/841 (/.f64 -46656/20511149 x)) x)
(log1p.f64 (expm1.f64 (/.f64 (+.f64 108/841 (/.f64 -46656/20511149 x)) x)))
(/.f64 (+.f64 108/841 (/.f64 -46656/20511149 x)) x)
(fma.f64 1 (/.f64 108/841 x) (*.f64 (pow.f64 x -2) -46656/20511149))
(fma.f64 (pow.f64 x -2) -46656/20511149 (/.f64 108/841 x))
(fma.f64 108/841 (/.f64 1 x) (*.f64 (pow.f64 x -2) -46656/20511149))
(fma.f64 (pow.f64 x -2) -46656/20511149 (/.f64 108/841 x))
(fma.f64 (sqrt.f64 (/.f64 108/841 x)) (sqrt.f64 (/.f64 108/841 x)) (*.f64 (pow.f64 x -2) -46656/20511149))
(fma.f64 (sqrt.f64 (/.f64 108/841 x)) (sqrt.f64 (/.f64 108/841 x)) (*.f64 -46656/20511149 (pow.f64 x -2)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 108/841 x)) 2) (cbrt.f64 (/.f64 108/841 x)) (*.f64 (pow.f64 x -2) -46656/20511149))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 108/841 x)) 2) (cbrt.f64 (/.f64 108/841 x)) (*.f64 -46656/20511149 (pow.f64 x -2)))

localize12.0ms (0.2%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
100.0%
(+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x)))
99.8%
(*.f64 x -841/108)
99.7%
(*.f64 -707281/11664 (*.f64 x x))
72.2%
(/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (*.f64 x -841/108))
Compiler

Compiled 34 to 20 computations (41.2% saved)

series1.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (*.f64 x -841/108))
0.0ms
x
@0
(/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (*.f64 x -841/108))
0.0ms
x
@-inf
(/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (*.f64 x -841/108))
0.0ms
x
@inf
(+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x)))
0.0ms
x
@0
(+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x)))

rewrite128.0ms (2.1%)

Algorithm
batch-egg-rewrite
Rules
1424×associate-*r/
1322×associate-/r*
1098×associate-/l*
1096×*-commutative
1064×associate-*l/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01150
124442
2318942
Stop Event
node limit
Counts
2 → 121
Calls
Call 1
Inputs
(/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (*.f64 x -841/108))
(+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x)))
Outputs
(((-.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (/.f64 -108/841 x)))) 1) (2)) ((*.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (/.f64 -108/841 x)) (2)) ((*.f64 (*.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (/.f64 -108/841 x)) 1) (2)) ((*.f64 1 (*.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (/.f64 -108/841 x))) (2)) ((*.f64 (sqrt.f64 (*.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (/.f64 -108/841 x))) (sqrt.f64 (*.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (/.f64 -108/841 x)))) (2)) ((*.f64 (sqrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) (*.f64 (sqrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) (/.f64 -108/841 x))) (2)) ((*.f64 (cbrt.f64 (*.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (/.f64 -108/841 x))) (pow.f64 (cbrt.f64 (*.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (/.f64 -108/841 x))) 2)) (2)) ((*.f64 (cbrt.f64 (*.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (/.f64 -108/841 x))) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) 2) (pow.f64 (cbrt.f64 (*.f64 x -841/108)) 2))) (2)) ((*.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (/.f64 -108/841 x))) 2) (cbrt.f64 (*.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (/.f64 -108/841 x)))) (2)) ((*.f64 (pow.f64 (cbrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) 2) (*.f64 (cbrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) (/.f64 -108/841 x))) (2)) ((*.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) x) -108/841) (2)) ((*.f64 (/.f64 -108/841 x) (fma.f64 -707281/11664 (*.f64 x x) 16/841)) (2)) ((*.f64 (neg.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) (/.f64 108/841 x)) (2)) ((*.f64 (*.f64 (sqrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) (/.f64 -108/841 x)) (sqrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841))) (2)) ((*.f64 (*.f64 (sqrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) (/.f64 -108/841 x)) (/.f64 (sqrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) 1)) (2)) ((*.f64 (*.f64 (cbrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) (/.f64 -108/841 x)) (pow.f64 (cbrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) 2)) (2)) ((*.f64 (*.f64 (cbrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) (/.f64 -108/841 x)) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) 2) 1)) (2)) ((*.f64 (/.f64 1 x) (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) -841/108)) (2)) ((*.f64 -108/841 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) x)) (2)) ((*.f64 (/.f64 1 (sqrt.f64 (*.f64 x -841/108))) (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (sqrt.f64 (*.f64 x -841/108)))) (2)) ((*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 x -841/108)) 2)) (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (cbrt.f64 (*.f64 x -841/108)))) (2)) ((*.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) -841/108) (/.f64 1 x)) (2)) ((*.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (sqrt.f64 (*.f64 x -841/108))) (/.f64 1 (sqrt.f64 (*.f64 x -841/108)))) (2)) ((*.f64 (/.f64 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-841/729)))) (2)) ((pow.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) 1) (2)) ((pow.f64 (sqrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) 2) (2)) ((pow.f64 (cbrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) 3) (2)) ((pow.f64 (pow.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) 3) 1/3) (2)) ((sqrt.f64 (pow.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) 2)) (2)) ((log.f64 (exp.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841))) (2)) ((log.f64 (+.f64 1 (expm1.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)))) (2)) ((cbrt.f64 (pow.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) 3)) (2)) ((expm1.f64 (log1p.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841))) (2)) ((exp.f64 (log.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841))) (2)) ((log1p.f64 (expm1.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841))) (2)) ((fma.f64 -707281/11664 (*.f64 x x) 16/841) (2)) ((fma.f64 (*.f64 x x) -707281/11664 16/841) (2)) ((fma.f64 1 (*.f64 -707281/11664 (*.f64 x x)) 16/841) (2)) ((fma.f64 (*.f64 x (sqrt.f64 -707281/11664)) (*.f64 x (sqrt.f64 -707281/11664)) 16/841) (2)) ((fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896)) (cbrt.f64 (*.f64 -707281/11664 (*.f64 x x))) 16/841) (2)) ((fma.f64 (*.f64 -707281/11664 x) x 16/841) (2)))

simplify136.0ms (2.2%)

Algorithm
egg-herbie
Rules
1764×distribute-rgt-in
1760×distribute-lft-in
1694×associate-/r*
1282×associate-/r/
428×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
03045825
17674869
236084869
Stop Event
node limit
Counts
145 → 184
Calls
Call 1
Inputs
(/.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)))
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)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (/.f64 -108/841 x)))) 1)
(*.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (/.f64 -108/841 x))
(*.f64 (*.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (/.f64 -108/841 x)) 1)
(*.f64 1 (*.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (/.f64 -108/841 x)))
(*.f64 (sqrt.f64 (*.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (/.f64 -108/841 x))) (sqrt.f64 (*.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (/.f64 -108/841 x))))
(*.f64 (sqrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) (*.f64 (sqrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) (/.f64 -108/841 x)))
(*.f64 (cbrt.f64 (*.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (/.f64 -108/841 x))) (pow.f64 (cbrt.f64 (*.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (/.f64 -108/841 x))) 2))
(*.f64 (cbrt.f64 (*.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (/.f64 -108/841 x))) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) 2) (pow.f64 (cbrt.f64 (*.f64 x -841/108)) 2)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (/.f64 -108/841 x))) 2) (cbrt.f64 (*.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (/.f64 -108/841 x))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) 2) (*.f64 (cbrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) (/.f64 -108/841 x)))
(*.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) x) -108/841)
(*.f64 (/.f64 -108/841 x) (fma.f64 -707281/11664 (*.f64 x x) 16/841))
(*.f64 (neg.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) (/.f64 108/841 x))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) (/.f64 -108/841 x)) (sqrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) (/.f64 -108/841 x)) (/.f64 (sqrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) 1))
(*.f64 (*.f64 (cbrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) (/.f64 -108/841 x)) (pow.f64 (cbrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) 2))
(*.f64 (*.f64 (cbrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) (/.f64 -108/841 x)) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) 2) 1))
(*.f64 (/.f64 1 x) (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) -841/108))
(*.f64 -108/841 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) x))
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 x -841/108))) (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (sqrt.f64 (*.f64 x -841/108))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 x -841/108)) 2)) (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (cbrt.f64 (*.f64 x -841/108))))
(*.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) -841/108) (/.f64 1 x))
(*.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (sqrt.f64 (*.f64 x -841/108))) (/.f64 1 (sqrt.f64 (*.f64 x -841/108))))
(*.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (cbrt.f64 (*.f64 x -841/108))) (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 x -841/108)) 2)))
(*.f64 (/.f64 108/841 x) (neg.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) 1) (*.f64 (sqrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) (/.f64 -108/841 x)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) x) (/.f64 (sqrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) -841/108))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) 2) 1) (*.f64 (cbrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) (/.f64 -108/841 x)))
(*.f64 (/.f64 (cbrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) x) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) 2) -841/108))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) -841/108) (/.f64 (sqrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) x))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) (pow.f64 (cbrt.f64 (*.f64 x -841/108)) 2)) (/.f64 (sqrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) (cbrt.f64 (*.f64 x -841/108))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) (cbrt.f64 (*.f64 x -841/108))) (/.f64 (sqrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) (pow.f64 (cbrt.f64 (*.f64 x -841/108)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) 2) x) (/.f64 (cbrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) -841/108))
(*.f64 (/.f64 (cbrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) -841/108) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) 2) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) 2) -841/108) (/.f64 (cbrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) 2) (sqrt.f64 (*.f64 x -841/108))) (/.f64 (cbrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) (sqrt.f64 (*.f64 x -841/108))))
(*.f64 (/.f64 (cbrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) (sqrt.f64 (*.f64 x -841/108))) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) 2) (sqrt.f64 (*.f64 x -841/108))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) 2) (pow.f64 (cbrt.f64 (*.f64 x -841/108)) 2)) (cbrt.f64 (*.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (/.f64 -108/841 x))))
(pow.f64 (*.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (/.f64 -108/841 x)) 1)
(pow.f64 (sqrt.f64 (*.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (/.f64 -108/841 x))) 2)
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (/.f64 -108/841 x))) 3)
(pow.f64 (pow.f64 (*.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (/.f64 -108/841 x)) 3) 1/3)
(pow.f64 (/.f64 (*.f64 x -841/108) (fma.f64 -707281/11664 (*.f64 x x) 16/841)) -1)
(neg.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (*.f64 x 841/108)))
(sqrt.f64 (pow.f64 (*.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (/.f64 -108/841 x)) 2))
(log.f64 (pow.f64 (exp.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) (/.f64 -108/841 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (/.f64 -108/841 x)))))
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (/.f64 -108/841 x)) 3))
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (/.f64 -108/841 x))))
(exp.f64 (log.f64 (*.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (/.f64 -108/841 x))))
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (/.f64 -108/841 x))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841))) 1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 -707281/11664 (*.f64 x x)))) 825/841)
(-.f64 (/.f64 256/707281 (+.f64 16/841 (*.f64 (*.f64 x x) 707281/11664))) (/.f64 (pow.f64 x 4) (/.f64 (+.f64 16/841 (*.f64 (*.f64 x x) 707281/11664)) 500246412961/136048896)))
(-.f64 (+.f64 16/841 (exp.f64 (log1p.f64 (*.f64 -707281/11664 (*.f64 x x))))) 1)
(*.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) 1)
(*.f64 1 (fma.f64 -707281/11664 (*.f64 x x) 16/841))
(*.f64 (sqrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) (sqrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)))
(*.f64 (cbrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) (pow.f64 (cbrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) 2) (cbrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)))
(*.f64 (-.f64 256/707281 (*.f64 (pow.f64 x 4) 500246412961/136048896)) (/.f64 1 (+.f64 16/841 (*.f64 (*.f64 x x) 707281/11664))))
(*.f64 (+.f64 4096/594823321 (*.f64 (pow.f64 (*.f64 x x) 3) -353814783205469041/1586874322944)) (/.f64 1 (-.f64 (+.f64 256/707281 (*.f64 (pow.f64 x 4) 500246412961/136048896)) (*.f64 (*.f64 x x) -841/729))))
(*.f64 (/.f64 1 (+.f64 16/841 (*.f64 (*.f64 x x) 707281/11664))) (-.f64 256/707281 (*.f64 (pow.f64 x 4) 500246412961/136048896)))
(*.f64 (/.f64 1 (-.f64 (+.f64 256/707281 (*.f64 (pow.f64 x 4) 500246412961/136048896)) (*.f64 (*.f64 x x) -841/729))) (+.f64 4096/594823321 (*.f64 (pow.f64 (*.f64 x x) 3) -353814783205469041/1586874322944)))
(/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) 1)
(/.f64 1 (/.f64 1 (fma.f64 -707281/11664 (*.f64 x x) 16/841)))
(/.f64 (sqrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) (/.f64 1 (sqrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841))))
(/.f64 (cbrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) 2)))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) 2) (/.f64 1 (cbrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841))))
(/.f64 (-.f64 256/707281 (*.f64 (pow.f64 x 4) 500246412961/136048896)) (+.f64 16/841 (*.f64 (*.f64 x x) 707281/11664)))
(/.f64 (-.f64 256/707281 (*.f64 (pow.f64 x 4) 500246412961/136048896)) (/.f64 1 (/.f64 1 (+.f64 16/841 (*.f64 (*.f64 x x) 707281/11664)))))
(/.f64 (+.f64 4096/594823321 (*.f64 (pow.f64 (*.f64 x x) 3) -353814783205469041/1586874322944)) (-.f64 (+.f64 256/707281 (*.f64 (pow.f64 x 4) 500246412961/136048896)) (*.f64 (*.f64 x x) -841/729)))
(/.f64 (+.f64 4096/594823321 (*.f64 (pow.f64 (*.f64 x x) 3) -353814783205469041/1586874322944)) (/.f64 1 (/.f64 1 (-.f64 (+.f64 256/707281 (*.f64 (pow.f64 x 4) 500246412961/136048896)) (*.f64 (*.f64 x x) -841/729)))))
(/.f64 (sqrt.f64 (+.f64 4096/594823321 (*.f64 (pow.f64 (*.f64 x x) 3) -353814783205469041/1586874322944))) (/.f64 (-.f64 (+.f64 256/707281 (*.f64 (pow.f64 x 4) 500246412961/136048896)) (*.f64 (*.f64 x x) -841/729)) (sqrt.f64 (+.f64 4096/594823321 (*.f64 (pow.f64 (*.f64 x x) 3) -353814783205469041/1586874322944)))))
(/.f64 (sqrt.f64 (-.f64 256/707281 (*.f64 (pow.f64 x 4) 500246412961/136048896))) (/.f64 (+.f64 16/841 (*.f64 (*.f64 x x) 707281/11664)) (sqrt.f64 (-.f64 256/707281 (*.f64 (pow.f64 x 4) 500246412961/136048896)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 4096/594823321 (*.f64 (pow.f64 (*.f64 x x) 3) -353814783205469041/1586874322944))) (cbrt.f64 (+.f64 4096/594823321 (*.f64 (pow.f64 (*.f64 x x) 3) -353814783205469041/1586874322944)))) (/.f64 (-.f64 (+.f64 256/707281 (*.f64 (pow.f64 x 4) 500246412961/136048896)) (*.f64 (*.f64 x x) -841/729)) (cbrt.f64 (+.f64 4096/594823321 (*.f64 (pow.f64 (*.f64 x x) 3) -353814783205469041/1586874322944)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 256/707281 (*.f64 (pow.f64 x 4) 500246412961/136048896))) (cbrt.f64 (-.f64 256/707281 (*.f64 (pow.f64 x 4) 500246412961/136048896)))) (/.f64 (+.f64 16/841 (*.f64 (*.f64 x x) 707281/11664)) (cbrt.f64 (-.f64 256/707281 (*.f64 (pow.f64 x 4) 500246412961/136048896)))))
(/.f64 (neg.f64 (-.f64 256/707281 (*.f64 (pow.f64 x 4) 500246412961/136048896))) (neg.f64 (+.f64 16/841 (*.f64 (*.f64 x x) 707281/11664))))
(/.f64 (neg.f64 (+.f64 4096/594823321 (*.f64 (pow.f64 (*.f64 x x) 3) -353814783205469041/1586874322944))) (neg.f64 (-.f64 (+.f64 256/707281 (*.f64 (pow.f64 x 4) 500246412961/136048896)) (*.f64 (*.f64 x x) -841/729))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896) 256/707281) (-.f64 (*.f64 -707281/11664 (*.f64 x x)) 16/841))
(/.f64 (*.f64 1 (neg.f64 (-.f64 256/707281 (*.f64 (pow.f64 x 4) 500246412961/136048896)))) (neg.f64 (+.f64 16/841 (*.f64 (*.f64 x x) 707281/11664))))
(/.f64 (*.f64 1 (neg.f64 (+.f64 4096/594823321 (*.f64 (pow.f64 (*.f64 x x) 3) -353814783205469041/1586874322944)))) (neg.f64 (-.f64 (+.f64 256/707281 (*.f64 (pow.f64 x 4) 500246412961/136048896)) (*.f64 (*.f64 x x) -841/729))))
(/.f64 (*.f64 1 (-.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896) 256/707281)) (-.f64 (*.f64 -707281/11664 (*.f64 x x)) 16/841))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) (sqrt.f64 (+.f64 4096/594823321 (*.f64 (pow.f64 (*.f64 x x) 3) -353814783205469041/1586874322944)))) (sqrt.f64 (-.f64 (+.f64 256/707281 (*.f64 (pow.f64 x 4) 500246412961/136048896)) (*.f64 (*.f64 x x) -841/729))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) (sqrt.f64 (-.f64 256/707281 (*.f64 (pow.f64 x 4) 500246412961/136048896)))) (sqrt.f64 (+.f64 16/841 (*.f64 (*.f64 x x) 707281/11664))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) 2) (cbrt.f64 (+.f64 4096/594823321 (*.f64 (pow.f64 (*.f64 x x) 3) -353814783205469041/1586874322944)))) (cbrt.f64 (-.f64 (+.f64 256/707281 (*.f64 (pow.f64 x 4) 500246412961/136048896)) (*.f64 (*.f64 x x) -841/729))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) 2) (cbrt.f64 (-.f64 256/707281 (*.f64 (pow.f64 x 4) 500246412961/136048896)))) (cbrt.f64 (+.f64 16/841 (*.f64 (*.f64 x x) 707281/11664))))
(/.f64 (*.f64 (neg.f64 (-.f64 256/707281 (*.f64 (pow.f64 x 4) 500246412961/136048896))) 1) (neg.f64 (+.f64 16/841 (*.f64 (*.f64 x x) 707281/11664))))
(/.f64 (*.f64 (neg.f64 (+.f64 4096/594823321 (*.f64 (pow.f64 (*.f64 x x) 3) -353814783205469041/1586874322944))) 1) (neg.f64 (-.f64 (+.f64 256/707281 (*.f64 (pow.f64 x 4) 500246412961/136048896)) (*.f64 (*.f64 x x) -841/729))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896) 256/707281) 1) (-.f64 (*.f64 -707281/11664 (*.f64 x x)) 16/841))
(/.f64 (*.f64 (sqrt.f64 (+.f64 4096/594823321 (*.f64 (pow.f64 (*.f64 x x) 3) -353814783205469041/1586874322944))) (sqrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841))) (sqrt.f64 (-.f64 (+.f64 256/707281 (*.f64 (pow.f64 x 4) 500246412961/136048896)) (*.f64 (*.f64 x x) -841/729))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 256/707281 (*.f64 (pow.f64 x 4) 500246412961/136048896))) (sqrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841))) (sqrt.f64 (+.f64 16/841 (*.f64 (*.f64 x x) 707281/11664))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 4096/594823321 (*.f64 (pow.f64 (*.f64 x x) 3) -353814783205469041/1586874322944))) (pow.f64 (cbrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) 2)) (cbrt.f64 (-.f64 (+.f64 256/707281 (*.f64 (pow.f64 x 4) 500246412961/136048896)) (*.f64 (*.f64 x x) -841/729))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 256/707281 (*.f64 (pow.f64 x 4) 500246412961/136048896))) (pow.f64 (cbrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) 2)) (cbrt.f64 (+.f64 16/841 (*.f64 (*.f64 x x) 707281/11664))))
(/.f64 (*.f64 (-.f64 65536/500246412961 (*.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896) (*.f64 (pow.f64 x 4) 500246412961/136048896))) (/.f64 1 (+.f64 16/841 (*.f64 (*.f64 x x) 707281/11664)))) (+.f64 256/707281 (*.f64 (pow.f64 x 4) 500246412961/136048896)))
(/.f64 (*.f64 (-.f64 16777216/353814783205469041 (pow.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896) 3)) (/.f64 1 (+.f64 16/841 (*.f64 (*.f64 x x) 707281/11664)))) (+.f64 65536/500246412961 (+.f64 (*.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896) (*.f64 (pow.f64 x 4) 500246412961/136048896)) (*.f64 256/707281 (*.f64 (pow.f64 x 4) 500246412961/136048896)))))
(/.f64 (*.f64 (-.f64 16777216/353814783205469041 (*.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -353814783205469041/1586874322944) (*.f64 (pow.f64 (*.f64 x x) 3) -353814783205469041/1586874322944))) (/.f64 1 (-.f64 (+.f64 256/707281 (*.f64 (pow.f64 x 4) 500246412961/136048896)) (*.f64 (*.f64 x x) -841/729)))) (-.f64 4096/594823321 (*.f64 (pow.f64 (*.f64 x x) 3) -353814783205469041/1586874322944)))
(/.f64 (*.f64 (+.f64 68719476736/210457284365172120330305161 (pow.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -353814783205469041/1586874322944) 3)) (/.f64 1 (-.f64 (+.f64 256/707281 (*.f64 (pow.f64 x 4) 500246412961/136048896)) (*.f64 (*.f64 x x) -841/729)))) (-.f64 (+.f64 16777216/353814783205469041 (*.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -353814783205469041/1586874322944) (*.f64 (pow.f64 (*.f64 x x) 3) -353814783205469041/1586874322944))) (*.f64 4096/594823321 (*.f64 (pow.f64 (*.f64 x x) 3) -353814783205469041/1586874322944))))
(/.f64 (/.f64 (-.f64 256/707281 (*.f64 (pow.f64 x 4) 500246412961/136048896)) 1) (+.f64 16/841 (*.f64 (*.f64 x x) 707281/11664)))
(/.f64 (/.f64 (-.f64 256/707281 (*.f64 (pow.f64 x 4) 500246412961/136048896)) (sqrt.f64 (+.f64 16/841 (*.f64 (*.f64 x x) 707281/11664)))) (sqrt.f64 (+.f64 16/841 (*.f64 (*.f64 x x) 707281/11664))))
(/.f64 (/.f64 (-.f64 256/707281 (*.f64 (pow.f64 x 4) 500246412961/136048896)) (*.f64 (cbrt.f64 (+.f64 16/841 (*.f64 (*.f64 x x) 707281/11664))) (cbrt.f64 (+.f64 16/841 (*.f64 (*.f64 x x) 707281/11664))))) (cbrt.f64 (+.f64 16/841 (*.f64 (*.f64 x x) 707281/11664))))
(/.f64 (/.f64 (+.f64 4096/594823321 (*.f64 (pow.f64 (*.f64 x x) 3) -353814783205469041/1586874322944)) 1) (-.f64 (+.f64 256/707281 (*.f64 (pow.f64 x 4) 500246412961/136048896)) (*.f64 (*.f64 x x) -841/729)))
(/.f64 (/.f64 (+.f64 4096/594823321 (*.f64 (pow.f64 (*.f64 x x) 3) -353814783205469041/1586874322944)) (sqrt.f64 (-.f64 (+.f64 256/707281 (*.f64 (pow.f64 x 4) 500246412961/136048896)) (*.f64 (*.f64 x x) -841/729)))) (sqrt.f64 (-.f64 (+.f64 256/707281 (*.f64 (pow.f64 x 4) 500246412961/136048896)) (*.f64 (*.f64 x x) -841/729))))
(/.f64 (/.f64 (+.f64 4096/594823321 (*.f64 (pow.f64 (*.f64 x x) 3) -353814783205469041/1586874322944)) (*.f64 (cbrt.f64 (-.f64 (+.f64 256/707281 (*.f64 (pow.f64 x 4) 500246412961/136048896)) (*.f64 (*.f64 x x) -841/729))) (cbrt.f64 (-.f64 (+.f64 256/707281 (*.f64 (pow.f64 x 4) 500246412961/136048896)) (*.f64 (*.f64 x x) -841/729))))) (cbrt.f64 (-.f64 (+.f64 256/707281 (*.f64 (pow.f64 x 4) 500246412961/136048896)) (*.f64 (*.f64 x x) -841/729))))
(pow.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) 1)
(pow.f64 (sqrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) 2)
(pow.f64 (cbrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) 3)
(pow.f64 (pow.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) 2))
(log.f64 (exp.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841))))
(cbrt.f64 (pow.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) 3))
(expm1.f64 (log1p.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)))
(exp.f64 (log.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)))
(log1p.f64 (expm1.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)))
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(fma.f64 (*.f64 x x) -707281/11664 16/841)
(fma.f64 1 (*.f64 -707281/11664 (*.f64 x x)) 16/841)
(fma.f64 (*.f64 x (sqrt.f64 -707281/11664)) (*.f64 x (sqrt.f64 -707281/11664)) 16/841)
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896)) (cbrt.f64 (*.f64 -707281/11664 (*.f64 x x))) 16/841)
(fma.f64 (*.f64 -707281/11664 x) x 16/841)
Outputs
(/.f64 -1728/707281 x)
(-.f64 (*.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x)))
(-.f64 (*.f64 x 841/108) (/.f64 1728/707281 x))
(fma.f64 x 841/108 (/.f64 -1728/707281 x))
(-.f64 (*.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x)))
(-.f64 (*.f64 x 841/108) (/.f64 1728/707281 x))
(fma.f64 x 841/108 (/.f64 -1728/707281 x))
(-.f64 (*.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x)))
(-.f64 (*.f64 x 841/108) (/.f64 1728/707281 x))
(fma.f64 x 841/108 (/.f64 -1728/707281 x))
(*.f64 841/108 x)
(*.f64 x 841/108)
(-.f64 (*.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x)))
(-.f64 (*.f64 x 841/108) (/.f64 1728/707281 x))
(fma.f64 x 841/108 (/.f64 -1728/707281 x))
(-.f64 (*.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x)))
(-.f64 (*.f64 x 841/108) (/.f64 1728/707281 x))
(fma.f64 x 841/108 (/.f64 -1728/707281 x))
(-.f64 (*.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x)))
(-.f64 (*.f64 x 841/108) (/.f64 1728/707281 x))
(fma.f64 x 841/108 (/.f64 -1728/707281 x))
(*.f64 841/108 x)
(*.f64 x 841/108)
(-.f64 (*.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x)))
(-.f64 (*.f64 x 841/108) (/.f64 1728/707281 x))
(fma.f64 x 841/108 (/.f64 -1728/707281 x))
(-.f64 (*.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x)))
(-.f64 (*.f64 x 841/108) (/.f64 1728/707281 x))
(fma.f64 x 841/108 (/.f64 -1728/707281 x))
(-.f64 (*.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x)))
(-.f64 (*.f64 x 841/108) (/.f64 1728/707281 x))
(fma.f64 x 841/108 (/.f64 -1728/707281 x))
16/841
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841)
(fma.f64 (*.f64 x -707281/11664) x 16/841)
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841)
(fma.f64 (*.f64 x -707281/11664) x 16/841)
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841)
(fma.f64 (*.f64 x -707281/11664) x 16/841)
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(*.f64 -707281/11664 (pow.f64 x 2))
(*.f64 (*.f64 x -707281/11664) x)
(*.f64 x (*.f64 x -707281/11664))
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841)
(fma.f64 (*.f64 x -707281/11664) x 16/841)
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841)
(fma.f64 (*.f64 x -707281/11664) x 16/841)
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841)
(fma.f64 (*.f64 x -707281/11664) x 16/841)
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(*.f64 -707281/11664 (pow.f64 x 2))
(*.f64 (*.f64 x -707281/11664) x)
(*.f64 x (*.f64 x -707281/11664))
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841)
(fma.f64 (*.f64 x -707281/11664) x 16/841)
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841)
(fma.f64 (*.f64 x -707281/11664) x 16/841)
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841)
(fma.f64 (*.f64 x -707281/11664) x 16/841)
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (/.f64 -108/841 x)))) 1)
(*.f64 (fma.f64 (*.f64 x -707281/11664) x 16/841) (/.f64 -108/841 x))
(*.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (/.f64 -108/841 x))
(*.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (/.f64 -108/841 x))
(*.f64 (fma.f64 (*.f64 x -707281/11664) x 16/841) (/.f64 -108/841 x))
(*.f64 (*.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (/.f64 -108/841 x)) 1)
(*.f64 (fma.f64 (*.f64 x -707281/11664) x 16/841) (/.f64 -108/841 x))
(*.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (/.f64 -108/841 x))
(*.f64 1 (*.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (/.f64 -108/841 x)))
(*.f64 (fma.f64 (*.f64 x -707281/11664) x 16/841) (/.f64 -108/841 x))
(*.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (/.f64 -108/841 x))
(*.f64 (sqrt.f64 (*.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (/.f64 -108/841 x))) (sqrt.f64 (*.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (/.f64 -108/841 x))))
(*.f64 (fma.f64 (*.f64 x -707281/11664) x 16/841) (/.f64 -108/841 x))
(*.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (/.f64 -108/841 x))
(*.f64 (sqrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) (*.f64 (sqrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) (/.f64 -108/841 x)))
(*.f64 (fma.f64 (*.f64 x -707281/11664) x 16/841) (/.f64 -108/841 x))
(*.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (/.f64 -108/841 x))
(*.f64 (cbrt.f64 (*.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (/.f64 -108/841 x))) (pow.f64 (cbrt.f64 (*.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (/.f64 -108/841 x))) 2))
(*.f64 (fma.f64 (*.f64 x -707281/11664) x 16/841) (/.f64 -108/841 x))
(*.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (/.f64 -108/841 x))
(*.f64 (cbrt.f64 (*.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (/.f64 -108/841 x))) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) 2) (pow.f64 (cbrt.f64 (*.f64 x -841/108)) 2)))
(*.f64 (cbrt.f64 (*.f64 (fma.f64 (*.f64 x -707281/11664) x 16/841) (/.f64 -108/841 x))) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x -707281/11664) x 16/841)) 2) (pow.f64 (cbrt.f64 (*.f64 x -841/108)) 2)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (/.f64 -108/841 x))) 2) (cbrt.f64 (*.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (/.f64 -108/841 x))))
(*.f64 (fma.f64 (*.f64 x -707281/11664) x 16/841) (/.f64 -108/841 x))
(*.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (/.f64 -108/841 x))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) 2) (*.f64 (cbrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) (/.f64 -108/841 x)))
(*.f64 (fma.f64 (*.f64 x -707281/11664) x 16/841) (/.f64 -108/841 x))
(*.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (/.f64 -108/841 x))
(*.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) x) -108/841)
(*.f64 (fma.f64 (*.f64 x -707281/11664) x 16/841) (/.f64 -108/841 x))
(*.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (/.f64 -108/841 x))
(*.f64 (/.f64 -108/841 x) (fma.f64 -707281/11664 (*.f64 x x) 16/841))
(*.f64 (fma.f64 (*.f64 x -707281/11664) x 16/841) (/.f64 -108/841 x))
(*.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (/.f64 -108/841 x))
(*.f64 (neg.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) (/.f64 108/841 x))
(*.f64 (fma.f64 (*.f64 x -707281/11664) x 16/841) (/.f64 -108/841 x))
(*.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (/.f64 -108/841 x))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) (/.f64 -108/841 x)) (sqrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)))
(*.f64 (fma.f64 (*.f64 x -707281/11664) x 16/841) (/.f64 -108/841 x))
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(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(fma.f64 (*.f64 x (sqrt.f64 -707281/11664)) (*.f64 x (sqrt.f64 -707281/11664)) 16/841)
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896)) (cbrt.f64 (*.f64 -707281/11664 (*.f64 x x))) 16/841)
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896)) (cbrt.f64 (*.f64 (*.f64 x -707281/11664) x)) 16/841)
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896)) (cbrt.f64 (*.f64 x (*.f64 x -707281/11664))) 16/841)
(fma.f64 (*.f64 -707281/11664 x) x 16/841)
(fma.f64 (*.f64 x -707281/11664) x 16/841)
(fma.f64 -707281/11664 (*.f64 x x) 16/841)

eval465.0ms (7.5%)

Compiler

Compiled 21897 to 17055 computations (22.1% saved)

prune206.0ms (3.3%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New9741975
Fresh022
Picked101
Done235
Total9776983
Accurracy
100.0%
Counts
983 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
70.5%
(/.f64 (+.f64 (*.f64 x (*.f64 x 707281/11664)) -16/841) (+.f64 -4/29 (*.f64 841/108 x)))
57.5%
(/.f64 1 (/.f64 108/841 x))
99.9%
(+.f64 4/29 (*.f64 841/108 x))
57.3%
(*.f64 (/.f64 1 (+.f64 108/841 (/.f64 -46656/20511149 x))) x)
57.7%
(*.f64 x 841/108)
43.6%
4/29
Compiler

Compiled 42 to 34 computations (19% saved)

localize14.0ms (0.2%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
100.0%
(+.f64 108/841 (/.f64 -46656/20511149 x))
99.8%
(*.f64 (/.f64 1 (+.f64 108/841 (/.f64 -46656/20511149 x))) x)
99.1%
(/.f64 -46656/20511149 x)
98.9%
(/.f64 1 (+.f64 108/841 (/.f64 -46656/20511149 x)))
Compiler

Compiled 29 to 23 computations (20.7% saved)

series2.0ms (0%)

Counts
4 → 36
Calls

12 calls:

TimeVariablePointExpression
0.0ms
x
@0
(/.f64 1 (+.f64 108/841 (/.f64 -46656/20511149 x)))
0.0ms
x
@0
(/.f64 -46656/20511149 x)
0.0ms
x
@inf
(/.f64 -46656/20511149 x)
0.0ms
x
@inf
(/.f64 1 (+.f64 108/841 (/.f64 -46656/20511149 x)))
0.0ms
x
@-inf
(/.f64 -46656/20511149 x)

rewrite103.0ms (1.7%)

Algorithm
batch-egg-rewrite
Rules
1424×associate-*r/
886×*-commutative
872×associate-*l/
806×associate-/r*
458×associate-/l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01058
121958
2272558
Stop Event
node limit
Counts
4 → 287
Calls
Call 1
Inputs
(/.f64 1 (+.f64 108/841 (/.f64 -46656/20511149 x)))
(/.f64 -46656/20511149 x)
(*.f64 (/.f64 1 (+.f64 108/841 (/.f64 -46656/20511149 x))) x)
(+.f64 108/841 (/.f64 -46656/20511149 x))
Outputs
(((+.f64 (*.f64 (/.f64 1 (-.f64 11664/707281 (/.f64 2176782336/420707233300201 (*.f64 x x)))) 108/841) (*.f64 (/.f64 1 (-.f64 11664/707281 (/.f64 2176782336/420707233300201 (*.f64 x x)))) (/.f64 46656/20511149 x))) (2)) ((+.f64 (*.f64 (/.f64 1 (+.f64 1259712/594823321 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3)))) 11664/707281) (*.f64 (/.f64 1 (+.f64 1259712/594823321 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3)))) (+.f64 (/.f64 2176782336/420707233300201 (*.f64 x x)) (/.f64 5038848/17249876309 x)))) (2)) ((+.f64 (*.f64 (/.f64 1 (+.f64 1259712/594823321 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3)))) (+.f64 (/.f64 2176782336/420707233300201 (*.f64 x x)) (/.f64 5038848/17249876309 x))) (*.f64 (/.f64 1 (+.f64 1259712/594823321 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3)))) 11664/707281)) (2)) ((+.f64 (*.f64 108/841 (/.f64 1 (-.f64 11664/707281 (/.f64 2176782336/420707233300201 (*.f64 x x))))) (*.f64 (/.f64 46656/20511149 x) (/.f64 1 (-.f64 11664/707281 (/.f64 2176782336/420707233300201 (*.f64 x x)))))) (2)) ((+.f64 (*.f64 11664/707281 (/.f64 1 (+.f64 1259712/594823321 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3))))) (*.f64 (+.f64 (/.f64 2176782336/420707233300201 (*.f64 x x)) (/.f64 5038848/17249876309 x)) (/.f64 1 (+.f64 1259712/594823321 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3)))))) (2)) ((+.f64 (*.f64 (+.f64 (/.f64 2176782336/420707233300201 (*.f64 x x)) (/.f64 5038848/17249876309 x)) (/.f64 1 (+.f64 1259712/594823321 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3))))) (*.f64 11664/707281 (/.f64 1 (+.f64 1259712/594823321 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3)))))) (2)) ((-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 108/841 (/.f64 -46656/20511149 x))))) 1) (2)) ((*.f64 1 (/.f64 1 (+.f64 108/841 (/.f64 -46656/20511149 x)))) (2)) ((*.f64 (/.f64 1 (+.f64 108/841 (/.f64 -46656/20511149 x))) 1) (2)) ((*.f64 (pow.f64 (+.f64 108/841 (/.f64 -46656/20511149 x)) -1/2) (pow.f64 (+.f64 108/841 (/.f64 -46656/20511149 x)) -1/2)) (2)) ((*.f64 (/.f64 1 (cbrt.f64 (+.f64 108/841 (/.f64 -46656/20511149 x)))) (cbrt.f64 (pow.f64 (+.f64 108/841 (/.f64 -46656/20511149 x)) -2))) (2)) ((*.f64 (cbrt.f64 (pow.f64 (+.f64 108/841 (/.f64 -46656/20511149 x)) -2)) (/.f64 1 (cbrt.f64 (+.f64 108/841 (/.f64 -46656/20511149 x))))) (2)) ((*.f64 (+.f64 108/841 (/.f64 46656/20511149 x)) (/.f64 1 (-.f64 11664/707281 (/.f64 2176782336/420707233300201 (*.f64 x x))))) (2)) ((*.f64 (+.f64 (/.f64 2176782336/420707233300201 (*.f64 x x)) (-.f64 11664/707281 (/.f64 -5038848/17249876309 x))) (/.f64 1 (+.f64 1259712/594823321 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3))))) (2)) ((*.f64 -1 (/.f64 -1 (+.f64 108/841 (/.f64 -46656/20511149 x)))) (2)) ((*.f64 (/.f64 -1 (+.f64 108/841 (/.f64 -46656/20511149 x))) -1) (2)) ((*.f64 (/.f64 1 (-.f64 11664/707281 (/.f64 2176782336/420707233300201 (*.f64 x x)))) (+.f64 108/841 (/.f64 46656/20511149 x))) (2)) ((*.f64 (/.f64 1 (+.f64 1259712/594823321 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3)))) (+.f64 (/.f64 2176782336/420707233300201 (*.f64 x x)) (-.f64 11664/707281 (/.f64 -5038848/17249876309 x)))) (2)) ((*.f64 (pow.f64 (sqrt.f64 (+.f64 108/841 (/.f64 -46656/20511149 x))) -1) (pow.f64 (sqrt.f64 (+.f64 108/841 (/.f64 -46656/20511149 x))) -1)) (2)) ((*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 108/841 (/.f64 -46656/20511149 x))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 108/841 (/.f64 -46656/20511149 x))) -1)) (2)) ((*.f64 (pow.f64 (cbrt.f64 (+.f64 108/841 (/.f64 -46656/20511149 x))) -1) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 108/841 (/.f64 -46656/20511149 x))) 2) -1)) (2)) ((*.f64 (/.f64 1 (neg.f64 (-.f64 11664/707281 (/.f64 2176782336/420707233300201 (*.f64 x x))))) (+.f64 -108/841 (neg.f64 (/.f64 46656/20511149 x)))) (2)) ((*.f64 (/.f64 1 (+.f64 -1259712/594823321 (neg.f64 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3))))) (neg.f64 (+.f64 (/.f64 2176782336/420707233300201 (*.f64 x x)) (-.f64 11664/707281 (/.f64 -5038848/17249876309 x))))) (2)) ((*.f64 (/.f64 1 (-.f64 (/.f64 2176782336/420707233300201 (*.f64 x x)) 11664/707281)) (-.f64 (/.f64 -46656/20511149 x) 108/841)) (2)) ((*.f64 (/.f64 (pow.f64 (+.f64 108/841 (/.f64 -46656/20511149 x)) -1/2) (sqrt.f64 (+.f64 1259712/594823321 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3))))) (sqrt.f64 (+.f64 (/.f64 2176782336/420707233300201 (*.f64 x x)) (-.f64 11664/707281 (/.f64 -5038848/17249876309 x))))) (2)) ((*.f64 (/.f64 (pow.f64 (+.f64 108/841 (/.f64 -46656/20511149 x)) -1/2) (sqrt.f64 (-.f64 11664/707281 (/.f64 2176782336/420707233300201 (*.f64 x x))))) (sqrt.f64 (+.f64 108/841 (/.f64 46656/20511149 x)))) (2)) ((*.f64 (/.f64 -1 (neg.f64 (-.f64 11664/707281 (/.f64 2176782336/420707233300201 (*.f64 x x))))) (+.f64 108/841 (/.f64 46656/20511149 x))) (2)) ((*.f64 (/.f64 -1 (+.f64 -1259712/594823321 (neg.f64 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3))))) (+.f64 (/.f64 2176782336/420707233300201 (*.f64 x x)) (-.f64 11664/707281 (/.f64 -5038848/17249876309 x)))) (2)) ((*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 108/841 (/.f64 -46656/20511149 x)) -2)) (cbrt.f64 (+.f64 1259712/594823321 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3))))) (cbrt.f64 (+.f64 (/.f64 2176782336/420707233300201 (*.f64 x x)) (-.f64 11664/707281 (/.f64 -5038848/17249876309 x))))) (2)) ((*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 108/841 (/.f64 -46656/20511149 x)) -2)) (cbrt.f64 (-.f64 11664/707281 (/.f64 2176782336/420707233300201 (*.f64 x x))))) (cbrt.f64 (+.f64 108/841 (/.f64 46656/20511149 x)))) (2)) ((*.f64 (/.f64 (+.f64 108/841 (/.f64 46656/20511149 x)) (-.f64 136048896/500246412961 (/.f64 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3)) (*.f64 x -20511149/46656)))) (+.f64 (/.f64 2176782336/420707233300201 (*.f64 x x)) 11664/707281)) (2)) ((*.f64 (/.f64 (+.f64 108/841 (/.f64 46656/20511149 x)) (-.f64 1586874322944/353814783205469041 (pow.f64 (/.f64 2176782336/420707233300201 (*.f64 x x)) 3))) (+.f64 136048896/500246412961 (*.f64 (/.f64 2176782336/420707233300201 (*.f64 x x)) (+.f64 (/.f64 2176782336/420707233300201 (*.f64 x x)) 11664/707281)))) (2)) ((*.f64 (/.f64 (+.f64 (/.f64 2176782336/420707233300201 (*.f64 x x)) (-.f64 11664/707281 (/.f64 -5038848/17249876309 x))) (-.f64 1586874322944/353814783205469041 (*.f64 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3)) (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3))))) (-.f64 1259712/594823321 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3)))) (2)) ((*.f64 (/.f64 (+.f64 (/.f64 2176782336/420707233300201 (*.f64 x x)) (-.f64 11664/707281 (/.f64 -5038848/17249876309 x))) (+.f64 1999004627104432128/210457284365172120330305161 (pow.f64 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3)) 3))) (+.f64 1586874322944/353814783205469041 (*.f64 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3)) (-.f64 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3)) 1259712/594823321)))) (2)) ((pow.f64 (+.f64 108/841 (/.f64 -46656/20511149 x)) -1) (2)) ((pow.f64 (/.f64 1 (+.f64 108/841 (/.f64 -46656/20511149 x))) 1) (2)) ((pow.f64 (pow.f64 (+.f64 108/841 (/.f64 -46656/20511149 x)) -1/2) 2) (2)) ((pow.f64 (/.f64 1 (cbrt.f64 (+.f64 108/841 (/.f64 -46656/20511149 x)))) 3) (2)) ((pow.f64 (pow.f64 (/.f64 1 (+.f64 108/841 (/.f64 -46656/20511149 x))) 3) 1/3) (2)) ((sqrt.f64 (pow.f64 (+.f64 108/841 (/.f64 -46656/20511149 x)) -2)) (2)) ((log.f64 (exp.f64 (/.f64 1 (+.f64 108/841 (/.f64 -46656/20511149 x))))) (2)) ((log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 108/841 (/.f64 -46656/20511149 x)))))) (2)) ((cbrt.f64 (pow.f64 (/.f64 1 (+.f64 108/841 (/.f64 -46656/20511149 x))) 3)) (2)) ((expm1.f64 (log1p.f64 (/.f64 1 (+.f64 108/841 (/.f64 -46656/20511149 x))))) (2)) ((exp.f64 (neg.f64 (log.f64 (+.f64 108/841 (/.f64 -46656/20511149 x))))) (2)) ((log1p.f64 (expm1.f64 (/.f64 1 (+.f64 108/841 (/.f64 -46656/20511149 x))))) (2)))
(((-.f64 (exp.f64 (log1p.f64 (/.f64 -46656/20511149 x))) 1) (2)) ((*.f64 1 (/.f64 -46656/20511149 x)) (2)) ((*.f64 -46656/20511149 (/.f64 1 x)) (2)) ((*.f64 (/.f64 -46656/20511149 x) 1) (2)) ((*.f64 (sqrt.f64 (/.f64 -46656/20511149 x)) (sqrt.f64 (/.f64 -46656/20511149 x))) (2)) ((*.f64 (cbrt.f64 (/.f64 -46656/20511149 x)) (pow.f64 (cbrt.f64 (/.f64 -46656/20511149 x)) 2)) (2)) ((*.f64 (pow.f64 (cbrt.f64 (/.f64 -46656/20511149 x)) 2) (cbrt.f64 (/.f64 -46656/20511149 x))) (2)) ((*.f64 (/.f64 1 x) -46656/20511149) (2)) ((*.f64 46656/20511149 (/.f64 -1 x)) (2)) ((*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 -46656/20511149 (sqrt.f64 x))) (2)) ((*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 -46656/20511149 (cbrt.f64 x))) (2)) ((*.f64 (/.f64 -1 x) 46656/20511149) (2)) ((pow.f64 (/.f64 -46656/20511149 x) 1) (2)) ((pow.f64 (sqrt.f64 (/.f64 -46656/20511149 x)) 2) (2)) ((pow.f64 (cbrt.f64 (/.f64 -46656/20511149 x)) 3) (2)) ((pow.f64 (*.f64 x -20511149/46656) -1) (2)) ((pow.f64 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3)) 1/3) (2)) ((sqrt.f64 (/.f64 2176782336/420707233300201 (*.f64 x x))) (2)) ((log.f64 (exp.f64 (/.f64 -46656/20511149 x))) (2)) ((log.f64 (+.f64 1 (expm1.f64 (/.f64 -46656/20511149 x)))) (2)) ((cbrt.f64 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3))) (2)) ((expm1.f64 (log1p.f64 (/.f64 -46656/20511149 x))) (2)) ((exp.f64 (log.f64 (/.f64 -46656/20511149 x))) (2)) ((log1p.f64 (expm1.f64 (/.f64 -46656/20511149 x))) (2)))
(((+.f64 (*.f64 (/.f64 x (-.f64 11664/707281 (/.f64 2176782336/420707233300201 (*.f64 x x)))) 108/841) (*.f64 (/.f64 x (-.f64 11664/707281 (/.f64 2176782336/420707233300201 (*.f64 x x)))) (/.f64 46656/20511149 x))) (2)) ((+.f64 (*.f64 (/.f64 x (+.f64 1259712/594823321 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3)))) 11664/707281) (*.f64 (/.f64 x (+.f64 1259712/594823321 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3)))) (+.f64 (/.f64 2176782336/420707233300201 (*.f64 x x)) (/.f64 5038848/17249876309 x)))) (2)) ((+.f64 (*.f64 (/.f64 x (+.f64 1259712/594823321 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3)))) (+.f64 (/.f64 2176782336/420707233300201 (*.f64 x x)) (/.f64 5038848/17249876309 x))) (*.f64 (/.f64 x (+.f64 1259712/594823321 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3)))) 11664/707281)) (2)) ((+.f64 (*.f64 108/841 (/.f64 x (-.f64 11664/707281 (/.f64 2176782336/420707233300201 (*.f64 x x))))) (*.f64 (/.f64 46656/20511149 x) (/.f64 x (-.f64 11664/707281 (/.f64 2176782336/420707233300201 (*.f64 x x)))))) (2)) ((+.f64 (*.f64 11664/707281 (/.f64 x (+.f64 1259712/594823321 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3))))) (*.f64 (+.f64 (/.f64 2176782336/420707233300201 (*.f64 x x)) (/.f64 5038848/17249876309 x)) (/.f64 x (+.f64 1259712/594823321 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3)))))) (2)) ((+.f64 (*.f64 (+.f64 (/.f64 2176782336/420707233300201 (*.f64 x x)) (/.f64 5038848/17249876309 x)) (/.f64 x (+.f64 1259712/594823321 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3))))) (*.f64 11664/707281 (/.f64 x (+.f64 1259712/594823321 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3)))))) (2)) ((-.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 108/841 (/.f64 -46656/20511149 x))))) 1) (2)) ((/.f64 1 (/.f64 (+.f64 108/841 (/.f64 -46656/20511149 x)) x)) (2)) ((/.f64 x (+.f64 108/841 (/.f64 -46656/20511149 x))) (2)) ((/.f64 (/.f64 x (+.f64 108/841 (/.f64 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(pow.f64 (+.f64 108/841 (/.f64 -46656/20511149 x)) -1/2)) (pow.f64 (+.f64 108/841 (/.f64 -46656/20511149 x)) -1/2)) (2)) ((/.f64 (/.f64 1 (/.f64 1 (cbrt.f64 (+.f64 108/841 (/.f64 -46656/20511149 x))))) (cbrt.f64 (pow.f64 (+.f64 108/841 (/.f64 -46656/20511149 x)) -2))) (2)) ((/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 108/841 (/.f64 -46656/20511149 x)) -2))) (/.f64 1 (cbrt.f64 (+.f64 108/841 (/.f64 -46656/20511149 x))))) (2)) ((/.f64 (/.f64 1 (/.f64 1 (-.f64 11664/707281 (/.f64 2176782336/420707233300201 (*.f64 x x))))) (+.f64 108/841 (/.f64 46656/20511149 x))) (2)) ((/.f64 (/.f64 1 (/.f64 1 (+.f64 1259712/594823321 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3))))) (+.f64 (/.f64 2176782336/420707233300201 (*.f64 x x)) (-.f64 11664/707281 (/.f64 -5038848/17249876309 x)))) (2)) ((/.f64 (/.f64 1 (pow.f64 (sqrt.f64 (+.f64 108/841 (/.f64 -46656/20511149 x))) -1)) (pow.f64 (sqrt.f64 (+.f64 108/841 (/.f64 -46656/20511149 x))) -1)) (2)) ((/.f64 (/.f64 1 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 108/841 (/.f64 -46656/20511149 x))) 2) -1)) (pow.f64 (cbrt.f64 (+.f64 108/841 (/.f64 -46656/20511149 x))) -1)) (2)) ((/.f64 (/.f64 (sqrt.f64 (+.f64 108/841 (/.f64 -46656/20511149 x))) 1) (pow.f64 (+.f64 108/841 (/.f64 -46656/20511149 x)) -1/2)) (2)) ((/.f64 (/.f64 (sqrt.f64 (+.f64 108/841 (/.f64 -46656/20511149 x))) (/.f64 1 (cbrt.f64 (+.f64 108/841 (/.f64 -46656/20511149 x))))) (cbrt.f64 (pow.f64 (+.f64 108/841 (/.f64 -46656/20511149 x)) -1/2))) (2)) ((/.f64 (/.f64 (sqrt.f64 (+.f64 108/841 (/.f64 -46656/20511149 x))) (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 108/841 (/.f64 -46656/20511149 x)) -2)))) (sqrt.f64 (/.f64 1 (cbrt.f64 (+.f64 108/841 (/.f64 -46656/20511149 x)))))) (2)) ((/.f64 (/.f64 (sqrt.f64 (+.f64 108/841 (/.f64 -46656/20511149 x))) (sqrt.f64 (pow.f64 (+.f64 108/841 (/.f64 -46656/20511149 x)) -1/2))) (sqrt.f64 (pow.f64 (+.f64 108/841 (/.f64 -46656/20511149 x)) -1/2))) (2)) ((/.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 108/841 (/.f64 -46656/20511149 x))) 2) 1) (/.f64 1 (cbrt.f64 (+.f64 108/841 (/.f64 -46656/20511149 x))))) (2)) ((/.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 108/841 (/.f64 -46656/20511149 x))) 2) (sqrt.f64 (/.f64 1 (cbrt.f64 (+.f64 108/841 (/.f64 -46656/20511149 x)))))) (sqrt.f64 (/.f64 1 (cbrt.f64 (+.f64 108/841 (/.f64 -46656/20511149 x)))))) (2)) ((/.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 108/841 (/.f64 -46656/20511149 x))) 2) (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 108/841 (/.f64 -46656/20511149 x)) -2)))) (cbrt.f64 (/.f64 1 (cbrt.f64 (+.f64 108/841 (/.f64 -46656/20511149 x)))))) (2)) ((/.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 108/841 (/.f64 -46656/20511149 x))) 2) (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (+.f64 108/841 (/.f64 -46656/20511149 x))))) (cbrt.f64 (/.f64 1 (cbrt.f64 (+.f64 108/841 (/.f64 -46656/20511149 x))))))) (cbrt.f64 (/.f64 1 (cbrt.f64 (+.f64 108/841 (/.f64 -46656/20511149 x)))))) (2)) ((/.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 108/841 (/.f64 -46656/20511149 x))) 2) (cbrt.f64 (pow.f64 (+.f64 108/841 (/.f64 -46656/20511149 x)) -1/2))) (cbrt.f64 (pow.f64 (+.f64 108/841 (/.f64 -46656/20511149 x)) -1/2))) (2)) ((/.f64 (/.f64 (-.f64 11664/707281 (/.f64 2176782336/420707233300201 (*.f64 x x))) 1) (+.f64 108/841 (/.f64 46656/20511149 x))) (2)) ((/.f64 (/.f64 (-.f64 11664/707281 (/.f64 2176782336/420707233300201 (*.f64 x x))) (sqrt.f64 (+.f64 108/841 (/.f64 46656/20511149 x)))) (sqrt.f64 (+.f64 108/841 (/.f64 46656/20511149 x)))) (2)) ((/.f64 (/.f64 (-.f64 11664/707281 (/.f64 2176782336/420707233300201 (*.f64 x x))) (*.f64 (cbrt.f64 (+.f64 108/841 (/.f64 46656/20511149 x))) (cbrt.f64 (+.f64 108/841 (/.f64 46656/20511149 x))))) (cbrt.f64 (+.f64 108/841 (/.f64 46656/20511149 x)))) (2)) ((/.f64 (/.f64 (+.f64 1259712/594823321 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3))) 1) (+.f64 (/.f64 2176782336/420707233300201 (*.f64 x x)) (-.f64 11664/707281 (/.f64 -5038848/17249876309 x)))) (2)) ((/.f64 (/.f64 (+.f64 1259712/594823321 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3))) (sqrt.f64 (+.f64 (/.f64 2176782336/420707233300201 (*.f64 x x)) (-.f64 11664/707281 (/.f64 -5038848/17249876309 x))))) (sqrt.f64 (+.f64 (/.f64 2176782336/420707233300201 (*.f64 x x)) (-.f64 11664/707281 (/.f64 -5038848/17249876309 x))))) (2)) ((/.f64 (/.f64 (+.f64 1259712/594823321 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3))) (*.f64 (cbrt.f64 (+.f64 (/.f64 2176782336/420707233300201 (*.f64 x x)) (-.f64 11664/707281 (/.f64 -5038848/17249876309 x)))) (cbrt.f64 (+.f64 (/.f64 2176782336/420707233300201 (*.f64 x x)) (-.f64 11664/707281 (/.f64 -5038848/17249876309 x)))))) (cbrt.f64 (+.f64 (/.f64 2176782336/420707233300201 (*.f64 x x)) (-.f64 11664/707281 (/.f64 -5038848/17249876309 x))))) (2)) ((pow.f64 (+.f64 108/841 (/.f64 -46656/20511149 x)) 1) (2)) ((pow.f64 (sqrt.f64 (+.f64 108/841 (/.f64 -46656/20511149 x))) 2) (2)) ((pow.f64 (cbrt.f64 (+.f64 108/841 (/.f64 -46656/20511149 x))) 3) (2)) ((pow.f64 (pow.f64 (+.f64 108/841 (/.f64 -46656/20511149 x)) 3) 1/3) (2)) ((neg.f64 (+.f64 -108/841 (/.f64 46656/20511149 x))) (2)) ((sqrt.f64 (pow.f64 (+.f64 108/841 (/.f64 -46656/20511149 x)) 2)) (2)) ((log.f64 (exp.f64 (+.f64 108/841 (/.f64 -46656/20511149 x)))) (2)) ((log.f64 (+.f64 1 (expm1.f64 (+.f64 108/841 (/.f64 -46656/20511149 x))))) (2)) ((cbrt.f64 (pow.f64 (+.f64 108/841 (/.f64 -46656/20511149 x)) 3)) (2)) ((expm1.f64 (log.f64 (+.f64 949/841 (/.f64 -46656/20511149 x)))) (2)) ((exp.f64 (log.f64 (+.f64 108/841 (/.f64 -46656/20511149 x)))) (2)) ((log1p.f64 (expm1.f64 (+.f64 108/841 (/.f64 -46656/20511149 x)))) (2)) ((fma.f64 1 (/.f64 -46656/20511149 x) 108/841) (2)) ((fma.f64 -46656/20511149 (/.f64 1 x) 108/841) (2)) ((fma.f64 (sqrt.f64 (/.f64 -46656/20511149 x)) (sqrt.f64 (/.f64 -46656/20511149 x)) 108/841) (2)) ((fma.f64 (pow.f64 (cbrt.f64 (/.f64 -46656/20511149 x)) 2) (cbrt.f64 (/.f64 -46656/20511149 x)) 108/841) (2)))

simplify123.0ms (2%)

Algorithm
egg-herbie
Rules
1066×associate-/l*
992×times-frac
812×associate-/r*
588×*-commutative
584×associate-/l/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
071011791
1184011287
Stop Event
node limit
Counts
323 → 459
Calls
Call 1
Inputs
(*.f64 -20511149/46656 x)
(+.f64 (*.f64 -500246412961/20155392 (pow.f64 x 2)) (*.f64 -20511149/46656 x))
(+.f64 (*.f64 -12200509765705829/8707129344 (pow.f64 x 3)) (+.f64 (*.f64 -500246412961/20155392 (pow.f64 x 2)) (*.f64 -20511149/46656 x)))
(+.f64 (*.f64 -12200509765705829/8707129344 (pow.f64 x 3)) (+.f64 (*.f64 -500246412961/20155392 (pow.f64 x 2)) (+.f64 (*.f64 -20511149/46656 x) (*.f64 -297558232675799463481/3761479876608 (pow.f64 x 4)))))
841/108
(+.f64 841/108 (*.f64 4/29 (/.f64 1 x)))
(+.f64 (*.f64 1728/707281 (/.f64 1 (pow.f64 x 2))) (+.f64 841/108 (*.f64 4/29 (/.f64 1 x))))
(+.f64 (*.f64 1728/707281 (/.f64 1 (pow.f64 x 2))) (+.f64 841/108 (+.f64 (*.f64 746496/17249876309 (/.f64 1 (pow.f64 x 3))) (*.f64 4/29 (/.f64 1 x)))))
841/108
(+.f64 841/108 (*.f64 4/29 (/.f64 1 x)))
(+.f64 (*.f64 1728/707281 (/.f64 1 (pow.f64 x 2))) (+.f64 841/108 (*.f64 4/29 (/.f64 1 x))))
(+.f64 (*.f64 1728/707281 (/.f64 1 (pow.f64 x 2))) (+.f64 841/108 (+.f64 (*.f64 746496/17249876309 (/.f64 1 (pow.f64 x 3))) (*.f64 4/29 (/.f64 1 x)))))
(*.f64 -20511149/46656 (pow.f64 x 2))
(+.f64 (*.f64 -20511149/46656 (pow.f64 x 2)) (*.f64 -500246412961/20155392 (pow.f64 x 3)))
(+.f64 (*.f64 -20511149/46656 (pow.f64 x 2)) (+.f64 (*.f64 -12200509765705829/8707129344 (pow.f64 x 4)) (*.f64 -500246412961/20155392 (pow.f64 x 3))))
(+.f64 (*.f64 -20511149/46656 (pow.f64 x 2)) (+.f64 (*.f64 -12200509765705829/8707129344 (pow.f64 x 4)) (+.f64 (*.f64 -297558232675799463481/3761479876608 (pow.f64 x 5)) (*.f64 -500246412961/20155392 (pow.f64 x 3)))))
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (+.f64 (*.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x))))
(+.f64 4/29 (+.f64 (*.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x)))))
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (+.f64 (*.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x))))
(+.f64 4/29 (+.f64 (*.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x)))))
(/.f64 -46656/20511149 x)
(-.f64 108/841 (*.f64 46656/20511149 (/.f64 1 x)))
(-.f64 108/841 (*.f64 46656/20511149 (/.f64 1 x)))
(-.f64 108/841 (*.f64 46656/20511149 (/.f64 1 x)))
108/841
(-.f64 108/841 (*.f64 46656/20511149 (/.f64 1 x)))
(-.f64 108/841 (*.f64 46656/20511149 (/.f64 1 x)))
(-.f64 108/841 (*.f64 46656/20511149 (/.f64 1 x)))
108/841
(-.f64 108/841 (*.f64 46656/20511149 (/.f64 1 x)))
(-.f64 108/841 (*.f64 46656/20511149 (/.f64 1 x)))
(-.f64 108/841 (*.f64 46656/20511149 (/.f64 1 x)))
(+.f64 (*.f64 (/.f64 1 (-.f64 11664/707281 (/.f64 2176782336/420707233300201 (*.f64 x x)))) 108/841) (*.f64 (/.f64 1 (-.f64 11664/707281 (/.f64 2176782336/420707233300201 (*.f64 x x)))) (/.f64 46656/20511149 x)))
(+.f64 (*.f64 (/.f64 1 (+.f64 1259712/594823321 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3)))) 11664/707281) (*.f64 (/.f64 1 (+.f64 1259712/594823321 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3)))) (+.f64 (/.f64 2176782336/420707233300201 (*.f64 x x)) (/.f64 5038848/17249876309 x))))
(+.f64 (*.f64 (/.f64 1 (+.f64 1259712/594823321 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3)))) (+.f64 (/.f64 2176782336/420707233300201 (*.f64 x x)) (/.f64 5038848/17249876309 x))) (*.f64 (/.f64 1 (+.f64 1259712/594823321 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3)))) 11664/707281))
(+.f64 (*.f64 108/841 (/.f64 1 (-.f64 11664/707281 (/.f64 2176782336/420707233300201 (*.f64 x x))))) (*.f64 (/.f64 46656/20511149 x) (/.f64 1 (-.f64 11664/707281 (/.f64 2176782336/420707233300201 (*.f64 x x))))))
(+.f64 (*.f64 11664/707281 (/.f64 1 (+.f64 1259712/594823321 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3))))) (*.f64 (+.f64 (/.f64 2176782336/420707233300201 (*.f64 x x)) (/.f64 5038848/17249876309 x)) (/.f64 1 (+.f64 1259712/594823321 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3))))))
(+.f64 (*.f64 (+.f64 (/.f64 2176782336/420707233300201 (*.f64 x x)) (/.f64 5038848/17249876309 x)) (/.f64 1 (+.f64 1259712/594823321 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3))))) (*.f64 11664/707281 (/.f64 1 (+.f64 1259712/594823321 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 108/841 (/.f64 -46656/20511149 x))))) 1)
(*.f64 1 (/.f64 1 (+.f64 108/841 (/.f64 -46656/20511149 x))))
(*.f64 (/.f64 1 (+.f64 108/841 (/.f64 -46656/20511149 x))) 1)
(*.f64 (pow.f64 (+.f64 108/841 (/.f64 -46656/20511149 x)) -1/2) (pow.f64 (+.f64 108/841 (/.f64 -46656/20511149 x)) -1/2))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 108/841 (/.f64 -46656/20511149 x)))) (cbrt.f64 (pow.f64 (+.f64 108/841 (/.f64 -46656/20511149 x)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 108/841 (/.f64 -46656/20511149 x)) -2)) (/.f64 1 (cbrt.f64 (+.f64 108/841 (/.f64 -46656/20511149 x)))))
(*.f64 (+.f64 108/841 (/.f64 46656/20511149 x)) (/.f64 1 (-.f64 11664/707281 (/.f64 2176782336/420707233300201 (*.f64 x x)))))
(*.f64 (+.f64 (/.f64 2176782336/420707233300201 (*.f64 x x)) (-.f64 11664/707281 (/.f64 -5038848/17249876309 x))) (/.f64 1 (+.f64 1259712/594823321 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3)))))
(*.f64 -1 (/.f64 -1 (+.f64 108/841 (/.f64 -46656/20511149 x))))
(*.f64 (/.f64 -1 (+.f64 108/841 (/.f64 -46656/20511149 x))) -1)
(*.f64 (/.f64 1 (-.f64 11664/707281 (/.f64 2176782336/420707233300201 (*.f64 x x)))) (+.f64 108/841 (/.f64 46656/20511149 x)))
(*.f64 (/.f64 1 (+.f64 1259712/594823321 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3)))) (+.f64 (/.f64 2176782336/420707233300201 (*.f64 x x)) (-.f64 11664/707281 (/.f64 -5038848/17249876309 x))))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 108/841 (/.f64 -46656/20511149 x))) -1) (pow.f64 (sqrt.f64 (+.f64 108/841 (/.f64 -46656/20511149 x))) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 108/841 (/.f64 -46656/20511149 x))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 108/841 (/.f64 -46656/20511149 x))) -1))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 108/841 (/.f64 -46656/20511149 x))) -1) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 108/841 (/.f64 -46656/20511149 x))) 2) -1))
(*.f64 (/.f64 1 (neg.f64 (-.f64 11664/707281 (/.f64 2176782336/420707233300201 (*.f64 x x))))) (+.f64 -108/841 (neg.f64 (/.f64 46656/20511149 x))))
(*.f64 (/.f64 1 (+.f64 -1259712/594823321 (neg.f64 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3))))) (neg.f64 (+.f64 (/.f64 2176782336/420707233300201 (*.f64 x x)) (-.f64 11664/707281 (/.f64 -5038848/17249876309 x)))))
(*.f64 (/.f64 1 (-.f64 (/.f64 2176782336/420707233300201 (*.f64 x x)) 11664/707281)) (-.f64 (/.f64 -46656/20511149 x) 108/841))
(*.f64 (/.f64 (pow.f64 (+.f64 108/841 (/.f64 -46656/20511149 x)) -1/2) (sqrt.f64 (+.f64 1259712/594823321 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3))))) (sqrt.f64 (+.f64 (/.f64 2176782336/420707233300201 (*.f64 x x)) (-.f64 11664/707281 (/.f64 -5038848/17249876309 x)))))
(*.f64 (/.f64 (pow.f64 (+.f64 108/841 (/.f64 -46656/20511149 x)) -1/2) (sqrt.f64 (-.f64 11664/707281 (/.f64 2176782336/420707233300201 (*.f64 x x))))) (sqrt.f64 (+.f64 108/841 (/.f64 46656/20511149 x))))
(*.f64 (/.f64 -1 (neg.f64 (-.f64 11664/707281 (/.f64 2176782336/420707233300201 (*.f64 x x))))) (+.f64 108/841 (/.f64 46656/20511149 x)))
(*.f64 (/.f64 -1 (+.f64 -1259712/594823321 (neg.f64 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3))))) (+.f64 (/.f64 2176782336/420707233300201 (*.f64 x x)) (-.f64 11664/707281 (/.f64 -5038848/17249876309 x))))
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(/.f64 (*.f64 (+.f64 -1259712/594823321 (neg.f64 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3)))) 1) (neg.f64 (+.f64 (/.f64 2176782336/420707233300201 (*.f64 x x)) (-.f64 11664/707281 (/.f64 -5038848/17249876309 x)))))
(/.f64 (*.f64 (-.f64 (/.f64 2176782336/420707233300201 (*.f64 x x)) 11664/707281) 1) (-.f64 (/.f64 -46656/20511149 x) 108/841))
(/.f64 (*.f64 (sqrt.f64 (+.f64 1259712/594823321 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3)))) (sqrt.f64 (+.f64 108/841 (/.f64 -46656/20511149 x)))) (sqrt.f64 (+.f64 (/.f64 2176782336/420707233300201 (*.f64 x x)) (-.f64 11664/707281 (/.f64 -5038848/17249876309 x)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 11664/707281 (/.f64 2176782336/420707233300201 (*.f64 x x)))) (sqrt.f64 (+.f64 108/841 (/.f64 -46656/20511149 x)))) (sqrt.f64 (+.f64 108/841 (/.f64 46656/20511149 x))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1259712/594823321 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3)))) (pow.f64 (cbrt.f64 (+.f64 108/841 (/.f64 -46656/20511149 x))) 2)) (cbrt.f64 (+.f64 (/.f64 2176782336/420707233300201 (*.f64 x x)) (-.f64 11664/707281 (/.f64 -5038848/17249876309 x)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 11664/707281 (/.f64 2176782336/420707233300201 (*.f64 x x)))) (pow.f64 (cbrt.f64 (+.f64 108/841 (/.f64 -46656/20511149 x))) 2)) (cbrt.f64 (+.f64 108/841 (/.f64 46656/20511149 x))))
(/.f64 (*.f64 (-.f64 136048896/500246412961 (/.f64 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3)) (*.f64 x -20511149/46656))) (/.f64 1 (+.f64 108/841 (/.f64 46656/20511149 x)))) (+.f64 (/.f64 2176782336/420707233300201 (*.f64 x x)) 11664/707281))
(/.f64 (*.f64 (-.f64 1586874322944/353814783205469041 (pow.f64 (/.f64 2176782336/420707233300201 (*.f64 x x)) 3)) (/.f64 1 (+.f64 108/841 (/.f64 46656/20511149 x)))) (+.f64 136048896/500246412961 (*.f64 (/.f64 2176782336/420707233300201 (*.f64 x x)) (+.f64 (/.f64 2176782336/420707233300201 (*.f64 x x)) 11664/707281))))
(/.f64 (*.f64 (-.f64 1586874322944/353814783205469041 (*.f64 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3)) (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3)))) (/.f64 1 (+.f64 (/.f64 2176782336/420707233300201 (*.f64 x x)) (-.f64 11664/707281 (/.f64 -5038848/17249876309 x))))) (-.f64 1259712/594823321 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3))))
(/.f64 (*.f64 (+.f64 1999004627104432128/210457284365172120330305161 (pow.f64 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3)) 3)) (/.f64 1 (+.f64 (/.f64 2176782336/420707233300201 (*.f64 x x)) (-.f64 11664/707281 (/.f64 -5038848/17249876309 x))))) (+.f64 1586874322944/353814783205469041 (*.f64 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3)) (-.f64 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3)) 1259712/594823321))))
(/.f64 (/.f64 1 (pow.f64 (+.f64 108/841 (/.f64 -46656/20511149 x)) -1/2)) (pow.f64 (+.f64 108/841 (/.f64 -46656/20511149 x)) -1/2))
(/.f64 (/.f64 1 (/.f64 1 (cbrt.f64 (+.f64 108/841 (/.f64 -46656/20511149 x))))) (cbrt.f64 (pow.f64 (+.f64 108/841 (/.f64 -46656/20511149 x)) -2)))
(/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 108/841 (/.f64 -46656/20511149 x)) -2))) (/.f64 1 (cbrt.f64 (+.f64 108/841 (/.f64 -46656/20511149 x)))))
(/.f64 (/.f64 1 (/.f64 1 (-.f64 11664/707281 (/.f64 2176782336/420707233300201 (*.f64 x x))))) (+.f64 108/841 (/.f64 46656/20511149 x)))
(/.f64 (/.f64 1 (/.f64 1 (+.f64 1259712/594823321 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3))))) (+.f64 (/.f64 2176782336/420707233300201 (*.f64 x x)) (-.f64 11664/707281 (/.f64 -5038848/17249876309 x))))
(/.f64 (/.f64 1 (pow.f64 (sqrt.f64 (+.f64 108/841 (/.f64 -46656/20511149 x))) -1)) (pow.f64 (sqrt.f64 (+.f64 108/841 (/.f64 -46656/20511149 x))) -1))
(/.f64 (/.f64 1 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 108/841 (/.f64 -46656/20511149 x))) 2) -1)) (pow.f64 (cbrt.f64 (+.f64 108/841 (/.f64 -46656/20511149 x))) -1))
(/.f64 (/.f64 (sqrt.f64 (+.f64 108/841 (/.f64 -46656/20511149 x))) 1) (pow.f64 (+.f64 108/841 (/.f64 -46656/20511149 x)) -1/2))
(/.f64 (/.f64 (sqrt.f64 (+.f64 108/841 (/.f64 -46656/20511149 x))) (/.f64 1 (cbrt.f64 (+.f64 108/841 (/.f64 -46656/20511149 x))))) (cbrt.f64 (pow.f64 (+.f64 108/841 (/.f64 -46656/20511149 x)) -1/2)))
(/.f64 (/.f64 (sqrt.f64 (+.f64 108/841 (/.f64 -46656/20511149 x))) (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 108/841 (/.f64 -46656/20511149 x)) -2)))) (sqrt.f64 (/.f64 1 (cbrt.f64 (+.f64 108/841 (/.f64 -46656/20511149 x))))))
(/.f64 (/.f64 (sqrt.f64 (+.f64 108/841 (/.f64 -46656/20511149 x))) (sqrt.f64 (pow.f64 (+.f64 108/841 (/.f64 -46656/20511149 x)) -1/2))) (sqrt.f64 (pow.f64 (+.f64 108/841 (/.f64 -46656/20511149 x)) -1/2)))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 108/841 (/.f64 -46656/20511149 x))) 2) 1) (/.f64 1 (cbrt.f64 (+.f64 108/841 (/.f64 -46656/20511149 x)))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 108/841 (/.f64 -46656/20511149 x))) 2) (sqrt.f64 (/.f64 1 (cbrt.f64 (+.f64 108/841 (/.f64 -46656/20511149 x)))))) (sqrt.f64 (/.f64 1 (cbrt.f64 (+.f64 108/841 (/.f64 -46656/20511149 x))))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 108/841 (/.f64 -46656/20511149 x))) 2) (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 108/841 (/.f64 -46656/20511149 x)) -2)))) (cbrt.f64 (/.f64 1 (cbrt.f64 (+.f64 108/841 (/.f64 -46656/20511149 x))))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 108/841 (/.f64 -46656/20511149 x))) 2) (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (+.f64 108/841 (/.f64 -46656/20511149 x))))) (cbrt.f64 (/.f64 1 (cbrt.f64 (+.f64 108/841 (/.f64 -46656/20511149 x))))))) (cbrt.f64 (/.f64 1 (cbrt.f64 (+.f64 108/841 (/.f64 -46656/20511149 x))))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 108/841 (/.f64 -46656/20511149 x))) 2) (cbrt.f64 (pow.f64 (+.f64 108/841 (/.f64 -46656/20511149 x)) -1/2))) (cbrt.f64 (pow.f64 (+.f64 108/841 (/.f64 -46656/20511149 x)) -1/2)))
(/.f64 (/.f64 (-.f64 11664/707281 (/.f64 2176782336/420707233300201 (*.f64 x x))) 1) (+.f64 108/841 (/.f64 46656/20511149 x)))
(/.f64 (/.f64 (-.f64 11664/707281 (/.f64 2176782336/420707233300201 (*.f64 x x))) (sqrt.f64 (+.f64 108/841 (/.f64 46656/20511149 x)))) (sqrt.f64 (+.f64 108/841 (/.f64 46656/20511149 x))))
(/.f64 (/.f64 (-.f64 11664/707281 (/.f64 2176782336/420707233300201 (*.f64 x x))) (*.f64 (cbrt.f64 (+.f64 108/841 (/.f64 46656/20511149 x))) (cbrt.f64 (+.f64 108/841 (/.f64 46656/20511149 x))))) (cbrt.f64 (+.f64 108/841 (/.f64 46656/20511149 x))))
(/.f64 (/.f64 (+.f64 1259712/594823321 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3))) 1) (+.f64 (/.f64 2176782336/420707233300201 (*.f64 x x)) (-.f64 11664/707281 (/.f64 -5038848/17249876309 x))))
(/.f64 (/.f64 (+.f64 1259712/594823321 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3))) (sqrt.f64 (+.f64 (/.f64 2176782336/420707233300201 (*.f64 x x)) (-.f64 11664/707281 (/.f64 -5038848/17249876309 x))))) (sqrt.f64 (+.f64 (/.f64 2176782336/420707233300201 (*.f64 x x)) (-.f64 11664/707281 (/.f64 -5038848/17249876309 x)))))
(/.f64 (/.f64 (+.f64 1259712/594823321 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3))) (*.f64 (cbrt.f64 (+.f64 (/.f64 2176782336/420707233300201 (*.f64 x x)) (-.f64 11664/707281 (/.f64 -5038848/17249876309 x)))) (cbrt.f64 (+.f64 (/.f64 2176782336/420707233300201 (*.f64 x x)) (-.f64 11664/707281 (/.f64 -5038848/17249876309 x)))))) (cbrt.f64 (+.f64 (/.f64 2176782336/420707233300201 (*.f64 x x)) (-.f64 11664/707281 (/.f64 -5038848/17249876309 x)))))
(pow.f64 (+.f64 108/841 (/.f64 -46656/20511149 x)) 1)
(pow.f64 (sqrt.f64 (+.f64 108/841 (/.f64 -46656/20511149 x))) 2)
(pow.f64 (cbrt.f64 (+.f64 108/841 (/.f64 -46656/20511149 x))) 3)
(pow.f64 (pow.f64 (+.f64 108/841 (/.f64 -46656/20511149 x)) 3) 1/3)
(neg.f64 (+.f64 -108/841 (/.f64 46656/20511149 x)))
(sqrt.f64 (pow.f64 (+.f64 108/841 (/.f64 -46656/20511149 x)) 2))
(log.f64 (exp.f64 (+.f64 108/841 (/.f64 -46656/20511149 x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 108/841 (/.f64 -46656/20511149 x)))))
(cbrt.f64 (pow.f64 (+.f64 108/841 (/.f64 -46656/20511149 x)) 3))
(expm1.f64 (log.f64 (+.f64 949/841 (/.f64 -46656/20511149 x))))
(exp.f64 (log.f64 (+.f64 108/841 (/.f64 -46656/20511149 x))))
(log1p.f64 (expm1.f64 (+.f64 108/841 (/.f64 -46656/20511149 x))))
(fma.f64 1 (/.f64 -46656/20511149 x) 108/841)
(fma.f64 -46656/20511149 (/.f64 1 x) 108/841)
(fma.f64 (sqrt.f64 (/.f64 -46656/20511149 x)) (sqrt.f64 (/.f64 -46656/20511149 x)) 108/841)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 -46656/20511149 x)) 2) (cbrt.f64 (/.f64 -46656/20511149 x)) 108/841)
Outputs
(*.f64 -20511149/46656 x)
(+.f64 (*.f64 -500246412961/20155392 (pow.f64 x 2)) (*.f64 -20511149/46656 x))
(fma.f64 -500246412961/20155392 (*.f64 x x) (*.f64 -20511149/46656 x))
(+.f64 (*.f64 -12200509765705829/8707129344 (pow.f64 x 3)) (+.f64 (*.f64 -500246412961/20155392 (pow.f64 x 2)) (*.f64 -20511149/46656 x)))
(fma.f64 -12200509765705829/8707129344 (pow.f64 x 3) (fma.f64 -500246412961/20155392 (*.f64 x x) (*.f64 -20511149/46656 x)))
(+.f64 (*.f64 -12200509765705829/8707129344 (pow.f64 x 3)) (+.f64 (*.f64 -500246412961/20155392 (pow.f64 x 2)) (+.f64 (*.f64 -20511149/46656 x) (*.f64 -297558232675799463481/3761479876608 (pow.f64 x 4)))))
(fma.f64 -12200509765705829/8707129344 (pow.f64 x 3) (fma.f64 -500246412961/20155392 (*.f64 x x) (fma.f64 -20511149/46656 x (*.f64 -297558232675799463481/3761479876608 (pow.f64 x 4)))))
841/108
(+.f64 841/108 (*.f64 4/29 (/.f64 1 x)))
(+.f64 841/108 (/.f64 4/29 x))
(+.f64 (*.f64 1728/707281 (/.f64 1 (pow.f64 x 2))) (+.f64 841/108 (*.f64 4/29 (/.f64 1 x))))
(+.f64 (+.f64 841/108 (/.f64 4/29 x)) (/.f64 1728/707281 (*.f64 x x)))
(+.f64 841/108 (+.f64 (/.f64 4/29 x) (/.f64 1728/707281 (*.f64 x x))))
(+.f64 (*.f64 1728/707281 (/.f64 1 (pow.f64 x 2))) (+.f64 841/108 (+.f64 (*.f64 746496/17249876309 (/.f64 1 (pow.f64 x 3))) (*.f64 4/29 (/.f64 1 x)))))
(+.f64 (/.f64 1728/707281 (*.f64 x x)) (+.f64 841/108 (+.f64 (/.f64 4/29 x) (/.f64 746496/17249876309 (pow.f64 x 3)))))
(+.f64 (/.f64 1728/707281 (*.f64 x x)) (+.f64 (+.f64 841/108 (/.f64 4/29 x)) (/.f64 746496/17249876309 (pow.f64 x 3))))
841/108
(+.f64 841/108 (*.f64 4/29 (/.f64 1 x)))
(+.f64 841/108 (/.f64 4/29 x))
(+.f64 (*.f64 1728/707281 (/.f64 1 (pow.f64 x 2))) (+.f64 841/108 (*.f64 4/29 (/.f64 1 x))))
(+.f64 (+.f64 841/108 (/.f64 4/29 x)) (/.f64 1728/707281 (*.f64 x x)))
(+.f64 841/108 (+.f64 (/.f64 4/29 x) (/.f64 1728/707281 (*.f64 x x))))
(+.f64 (*.f64 1728/707281 (/.f64 1 (pow.f64 x 2))) (+.f64 841/108 (+.f64 (*.f64 746496/17249876309 (/.f64 1 (pow.f64 x 3))) (*.f64 4/29 (/.f64 1 x)))))
(+.f64 (/.f64 1728/707281 (*.f64 x x)) (+.f64 841/108 (+.f64 (/.f64 4/29 x) (/.f64 746496/17249876309 (pow.f64 x 3)))))
(+.f64 (/.f64 1728/707281 (*.f64 x x)) (+.f64 (+.f64 841/108 (/.f64 4/29 x)) (/.f64 746496/17249876309 (pow.f64 x 3))))
(*.f64 -20511149/46656 (pow.f64 x 2))
(*.f64 -20511149/46656 (*.f64 x x))
(+.f64 (*.f64 -20511149/46656 (pow.f64 x 2)) (*.f64 -500246412961/20155392 (pow.f64 x 3)))
(fma.f64 -20511149/46656 (*.f64 x x) (*.f64 -500246412961/20155392 (pow.f64 x 3)))
(+.f64 (*.f64 -20511149/46656 (pow.f64 x 2)) (+.f64 (*.f64 -12200509765705829/8707129344 (pow.f64 x 4)) (*.f64 -500246412961/20155392 (pow.f64 x 3))))
(fma.f64 -20511149/46656 (*.f64 x x) (fma.f64 -12200509765705829/8707129344 (pow.f64 x 4) (*.f64 -500246412961/20155392 (pow.f64 x 3))))
(+.f64 (*.f64 -20511149/46656 (pow.f64 x 2)) (+.f64 (*.f64 -12200509765705829/8707129344 (pow.f64 x 4)) (+.f64 (*.f64 -297558232675799463481/3761479876608 (pow.f64 x 5)) (*.f64 -500246412961/20155392 (pow.f64 x 3)))))
(fma.f64 -20511149/46656 (*.f64 x x) (fma.f64 -12200509765705829/8707129344 (pow.f64 x 4) (fma.f64 -297558232675799463481/3761479876608 (pow.f64 x 5) (*.f64 -500246412961/20155392 (pow.f64 x 3)))))
(*.f64 841/108 x)
(*.f64 x 841/108)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 x 841/108))
(+.f64 4/29 (+.f64 (*.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x))))
(+.f64 4/29 (fma.f64 841/108 x (/.f64 1728/707281 x)))
(+.f64 4/29 (+.f64 (*.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x)))))
(+.f64 4/29 (+.f64 (fma.f64 841/108 x (/.f64 1728/707281 x)) (/.f64 746496/17249876309 (*.f64 x x))))
(*.f64 841/108 x)
(*.f64 x 841/108)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 x 841/108))
(+.f64 4/29 (+.f64 (*.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x))))
(+.f64 4/29 (fma.f64 841/108 x (/.f64 1728/707281 x)))
(+.f64 4/29 (+.f64 (*.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x)))))
(+.f64 4/29 (+.f64 (fma.f64 841/108 x (/.f64 1728/707281 x)) (/.f64 746496/17249876309 (*.f64 x x))))
(/.f64 -46656/20511149 x)
(-.f64 108/841 (*.f64 46656/20511149 (/.f64 1 x)))
(+.f64 (/.f64 -46656/20511149 x) 108/841)
(-.f64 108/841 (*.f64 46656/20511149 (/.f64 1 x)))
(+.f64 (/.f64 -46656/20511149 x) 108/841)
(-.f64 108/841 (*.f64 46656/20511149 (/.f64 1 x)))
(+.f64 (/.f64 -46656/20511149 x) 108/841)
108/841
(-.f64 108/841 (*.f64 46656/20511149 (/.f64 1 x)))
(+.f64 (/.f64 -46656/20511149 x) 108/841)
(-.f64 108/841 (*.f64 46656/20511149 (/.f64 1 x)))
(+.f64 (/.f64 -46656/20511149 x) 108/841)
(-.f64 108/841 (*.f64 46656/20511149 (/.f64 1 x)))
(+.f64 (/.f64 -46656/20511149 x) 108/841)
108/841
(-.f64 108/841 (*.f64 46656/20511149 (/.f64 1 x)))
(+.f64 (/.f64 -46656/20511149 x) 108/841)
(-.f64 108/841 (*.f64 46656/20511149 (/.f64 1 x)))
(+.f64 (/.f64 -46656/20511149 x) 108/841)
(-.f64 108/841 (*.f64 46656/20511149 (/.f64 1 x)))
(+.f64 (/.f64 -46656/20511149 x) 108/841)
(+.f64 (*.f64 (/.f64 1 (-.f64 11664/707281 (/.f64 2176782336/420707233300201 (*.f64 x x)))) 108/841) (*.f64 (/.f64 1 (-.f64 11664/707281 (/.f64 2176782336/420707233300201 (*.f64 x x)))) (/.f64 46656/20511149 x)))
(/.f64 (+.f64 108/841 (/.f64 46656/20511149 x)) (-.f64 11664/707281 (/.f64 2176782336/420707233300201 (*.f64 x x))))
(/.f64 (+.f64 108/841 (/.f64 46656/20511149 x)) (+.f64 11664/707281 (/.f64 -2176782336/420707233300201 (*.f64 x x))))
(+.f64 (*.f64 (/.f64 1 (+.f64 1259712/594823321 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3)))) 11664/707281) (*.f64 (/.f64 1 (+.f64 1259712/594823321 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3)))) (+.f64 (/.f64 2176782336/420707233300201 (*.f64 x x)) (/.f64 5038848/17249876309 x))))
(*.f64 (/.f64 1 (+.f64 1259712/594823321 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3)))) (+.f64 (+.f64 (/.f64 2176782336/420707233300201 (*.f64 x x)) (/.f64 5038848/17249876309 x)) 11664/707281))
(/.f64 (+.f64 (/.f64 2176782336/420707233300201 (*.f64 x x)) (+.f64 11664/707281 (/.f64 5038848/17249876309 x))) (+.f64 1259712/594823321 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3))))
(+.f64 (*.f64 (/.f64 1 (+.f64 1259712/594823321 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3)))) (+.f64 (/.f64 2176782336/420707233300201 (*.f64 x x)) (/.f64 5038848/17249876309 x))) (*.f64 (/.f64 1 (+.f64 1259712/594823321 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3)))) 11664/707281))
(*.f64 (/.f64 1 (+.f64 1259712/594823321 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3)))) (+.f64 (+.f64 (/.f64 2176782336/420707233300201 (*.f64 x x)) (/.f64 5038848/17249876309 x)) 11664/707281))
(/.f64 (+.f64 (/.f64 2176782336/420707233300201 (*.f64 x x)) (+.f64 11664/707281 (/.f64 5038848/17249876309 x))) (+.f64 1259712/594823321 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3))))
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(/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -46656/20511149 x) 108/841)) 2) (*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 -46656/20511149 x) 108/841) -2))) (cbrt.f64 (/.f64 1 (cbrt.f64 (+.f64 (/.f64 -46656/20511149 x) 108/841))))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 108/841 (/.f64 -46656/20511149 x))) 2) (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (+.f64 108/841 (/.f64 -46656/20511149 x))))) (cbrt.f64 (/.f64 1 (cbrt.f64 (+.f64 108/841 (/.f64 -46656/20511149 x))))))) (cbrt.f64 (/.f64 1 (cbrt.f64 (+.f64 108/841 (/.f64 -46656/20511149 x))))))
(+.f64 (/.f64 -46656/20511149 x) 108/841)
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 108/841 (/.f64 -46656/20511149 x))) 2) (cbrt.f64 (pow.f64 (+.f64 108/841 (/.f64 -46656/20511149 x)) -1/2))) (cbrt.f64 (pow.f64 (+.f64 108/841 (/.f64 -46656/20511149 x)) -1/2)))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -46656/20511149 x) 108/841)) 2) (cbrt.f64 (pow.f64 (+.f64 (/.f64 -46656/20511149 x) 108/841) -1/2))) (cbrt.f64 (pow.f64 (+.f64 (/.f64 -46656/20511149 x) 108/841) -1/2)))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -46656/20511149 x) 108/841)) 2) (*.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 -46656/20511149 x) 108/841) -1/2)) (cbrt.f64 (pow.f64 (+.f64 (/.f64 -46656/20511149 x) 108/841) -1/2))))
(/.f64 (/.f64 (-.f64 11664/707281 (/.f64 2176782336/420707233300201 (*.f64 x x))) 1) (+.f64 108/841 (/.f64 46656/20511149 x)))
(-.f64 (/.f64 11664/707281 (+.f64 108/841 (/.f64 46656/20511149 x))) (/.f64 2176782336/420707233300201 (*.f64 (*.f64 x x) (+.f64 108/841 (/.f64 46656/20511149 x)))))
(/.f64 (+.f64 11664/707281 (/.f64 -2176782336/420707233300201 (*.f64 x x))) (+.f64 108/841 (/.f64 46656/20511149 x)))
(/.f64 (/.f64 (-.f64 11664/707281 (/.f64 2176782336/420707233300201 (*.f64 x x))) (sqrt.f64 (+.f64 108/841 (/.f64 46656/20511149 x)))) (sqrt.f64 (+.f64 108/841 (/.f64 46656/20511149 x))))
(-.f64 (/.f64 11664/707281 (+.f64 108/841 (/.f64 46656/20511149 x))) (/.f64 2176782336/420707233300201 (*.f64 (*.f64 x x) (+.f64 108/841 (/.f64 46656/20511149 x)))))
(/.f64 (+.f64 11664/707281 (/.f64 -2176782336/420707233300201 (*.f64 x x))) (+.f64 108/841 (/.f64 46656/20511149 x)))
(/.f64 (/.f64 (-.f64 11664/707281 (/.f64 2176782336/420707233300201 (*.f64 x x))) (*.f64 (cbrt.f64 (+.f64 108/841 (/.f64 46656/20511149 x))) (cbrt.f64 (+.f64 108/841 (/.f64 46656/20511149 x))))) (cbrt.f64 (+.f64 108/841 (/.f64 46656/20511149 x))))
(-.f64 (/.f64 11664/707281 (+.f64 108/841 (/.f64 46656/20511149 x))) (/.f64 2176782336/420707233300201 (*.f64 (*.f64 x x) (+.f64 108/841 (/.f64 46656/20511149 x)))))
(/.f64 (+.f64 11664/707281 (/.f64 -2176782336/420707233300201 (*.f64 x x))) (+.f64 108/841 (/.f64 46656/20511149 x)))
(/.f64 (/.f64 (+.f64 1259712/594823321 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3))) 1) (+.f64 (/.f64 2176782336/420707233300201 (*.f64 x x)) (-.f64 11664/707281 (/.f64 -5038848/17249876309 x))))
(/.f64 (+.f64 1259712/594823321 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3))) (+.f64 (/.f64 2176782336/420707233300201 (*.f64 x x)) (-.f64 11664/707281 (/.f64 -5038848/17249876309 x))))
(/.f64 (+.f64 1259712/594823321 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3))) (+.f64 (/.f64 2176782336/420707233300201 (*.f64 x x)) (+.f64 11664/707281 (/.f64 5038848/17249876309 x))))
(/.f64 (/.f64 (+.f64 1259712/594823321 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3))) (sqrt.f64 (+.f64 (/.f64 2176782336/420707233300201 (*.f64 x x)) (-.f64 11664/707281 (/.f64 -5038848/17249876309 x))))) (sqrt.f64 (+.f64 (/.f64 2176782336/420707233300201 (*.f64 x x)) (-.f64 11664/707281 (/.f64 -5038848/17249876309 x)))))
(/.f64 (+.f64 1259712/594823321 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3))) (+.f64 (/.f64 2176782336/420707233300201 (*.f64 x x)) (-.f64 11664/707281 (/.f64 -5038848/17249876309 x))))
(/.f64 (+.f64 1259712/594823321 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3))) (+.f64 (/.f64 2176782336/420707233300201 (*.f64 x x)) (+.f64 11664/707281 (/.f64 5038848/17249876309 x))))
(/.f64 (/.f64 (+.f64 1259712/594823321 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3))) (*.f64 (cbrt.f64 (+.f64 (/.f64 2176782336/420707233300201 (*.f64 x x)) (-.f64 11664/707281 (/.f64 -5038848/17249876309 x)))) (cbrt.f64 (+.f64 (/.f64 2176782336/420707233300201 (*.f64 x x)) (-.f64 11664/707281 (/.f64 -5038848/17249876309 x)))))) (cbrt.f64 (+.f64 (/.f64 2176782336/420707233300201 (*.f64 x x)) (-.f64 11664/707281 (/.f64 -5038848/17249876309 x)))))
(/.f64 (+.f64 1259712/594823321 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3))) (+.f64 (/.f64 2176782336/420707233300201 (*.f64 x x)) (-.f64 11664/707281 (/.f64 -5038848/17249876309 x))))
(/.f64 (+.f64 1259712/594823321 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3))) (+.f64 (/.f64 2176782336/420707233300201 (*.f64 x x)) (+.f64 11664/707281 (/.f64 5038848/17249876309 x))))
(pow.f64 (+.f64 108/841 (/.f64 -46656/20511149 x)) 1)
(+.f64 (/.f64 -46656/20511149 x) 108/841)
(pow.f64 (sqrt.f64 (+.f64 108/841 (/.f64 -46656/20511149 x))) 2)
(+.f64 (/.f64 -46656/20511149 x) 108/841)
(pow.f64 (cbrt.f64 (+.f64 108/841 (/.f64 -46656/20511149 x))) 3)
(+.f64 (/.f64 -46656/20511149 x) 108/841)
(pow.f64 (pow.f64 (+.f64 108/841 (/.f64 -46656/20511149 x)) 3) 1/3)
(+.f64 (/.f64 -46656/20511149 x) 108/841)
(neg.f64 (+.f64 -108/841 (/.f64 46656/20511149 x)))
(+.f64 (/.f64 -46656/20511149 x) 108/841)
(sqrt.f64 (pow.f64 (+.f64 108/841 (/.f64 -46656/20511149 x)) 2))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 -46656/20511149 x) 108/841) 2))
(fabs.f64 (+.f64 (/.f64 -46656/20511149 x) 108/841))
(log.f64 (exp.f64 (+.f64 108/841 (/.f64 -46656/20511149 x))))
(+.f64 (/.f64 -46656/20511149 x) 108/841)
(log.f64 (+.f64 1 (expm1.f64 (+.f64 108/841 (/.f64 -46656/20511149 x)))))
(+.f64 (/.f64 -46656/20511149 x) 108/841)
(cbrt.f64 (pow.f64 (+.f64 108/841 (/.f64 -46656/20511149 x)) 3))
(+.f64 (/.f64 -46656/20511149 x) 108/841)
(expm1.f64 (log.f64 (+.f64 949/841 (/.f64 -46656/20511149 x))))
(+.f64 (/.f64 -46656/20511149 x) 108/841)
(exp.f64 (log.f64 (+.f64 108/841 (/.f64 -46656/20511149 x))))
(+.f64 (/.f64 -46656/20511149 x) 108/841)
(log1p.f64 (expm1.f64 (+.f64 108/841 (/.f64 -46656/20511149 x))))
(+.f64 (/.f64 -46656/20511149 x) 108/841)
(fma.f64 1 (/.f64 -46656/20511149 x) 108/841)
(+.f64 (/.f64 -46656/20511149 x) 108/841)
(fma.f64 -46656/20511149 (/.f64 1 x) 108/841)
(+.f64 (/.f64 -46656/20511149 x) 108/841)
(fma.f64 (sqrt.f64 (/.f64 -46656/20511149 x)) (sqrt.f64 (/.f64 -46656/20511149 x)) 108/841)
(+.f64 (/.f64 -46656/20511149 x) 108/841)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 -46656/20511149 x)) 2) (cbrt.f64 (/.f64 -46656/20511149 x)) 108/841)
(+.f64 (/.f64 -46656/20511149 x) 108/841)

localize17.0ms (0.3%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
99.8%
(*.f64 x (*.f64 x 707281/11664))
99.8%
(*.f64 841/108 x)
99.7%
(*.f64 x 707281/11664)
72.5%
(/.f64 (+.f64 (*.f64 x (*.f64 x 707281/11664)) -16/841) (+.f64 -4/29 (*.f64 841/108 x)))
Compiler

Compiled 42 to 31 computations (26.2% saved)

series2.0ms (0%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
0.0ms
x
@0
(/.f64 (+.f64 (*.f64 x (*.f64 x 707281/11664)) -16/841) (+.f64 -4/29 (*.f64 841/108 x)))
0.0ms
x
@-inf
(/.f64 (+.f64 (*.f64 x (*.f64 x 707281/11664)) -16/841) (+.f64 -4/29 (*.f64 841/108 x)))
0.0ms
x
@inf
(/.f64 (+.f64 (*.f64 x (*.f64 x 707281/11664)) -16/841) (+.f64 -4/29 (*.f64 841/108 x)))
0.0ms
x
@inf
(*.f64 x 707281/11664)
0.0ms
x
@inf
(*.f64 x (*.f64 x 707281/11664))

rewrite73.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
1708×associate-*r/
1468×associate-*l/
934×associate-/r*
794×associate-/l*
288×add-sqr-sqrt
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01353
129149
2376445
Stop Event
node limit
Counts
3 → 60
Calls
Call 1
Inputs
(/.f64 (+.f64 (*.f64 x (*.f64 x 707281/11664)) -16/841) (+.f64 -4/29 (*.f64 841/108 x)))
(*.f64 x 707281/11664)
(*.f64 x (*.f64 x 707281/11664))
Outputs
(((-.f64 (exp.f64 (log1p.f64 (/.f64 1 (/.f64 -1 (+.f64 -4/29 (*.f64 -841/108 x)))))) 1) (2)) ((*.f64 (fma.f64 (*.f64 x x) 707281/11664 -16/841) (/.f64 1 (fma.f64 x 841/108 -4/29))) (2)) ((*.f64 (/.f64 1 (/.f64 -1 (+.f64 -4/29 (*.f64 -841/108 x)))) 1) (2)) ((*.f64 1 (/.f64 1 (/.f64 -1 (+.f64 -4/29 (*.f64 -841/108 x))))) (2)) ((*.f64 (sqrt.f64 (fma.f64 (*.f64 x x) 707281/11664 -16/841)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 x x) 707281/11664 -16/841)) (/.f64 1 (fma.f64 x 841/108 -4/29)))) (2)) ((*.f64 (/.f64 1 (sqrt.f64 (/.f64 -1 (+.f64 -4/29 (*.f64 -841/108 x))))) (/.f64 1 (sqrt.f64 (/.f64 -1 (+.f64 -4/29 (*.f64 -841/108 x)))))) (2)) ((*.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) 707281/11664 -16/841)) 2) (*.f64 (cbrt.f64 (fma.f64 (*.f64 x x) 707281/11664 -16/841)) (/.f64 1 (fma.f64 x 841/108 -4/29)))) (2)) ((*.f64 (cbrt.f64 (/.f64 1 (/.f64 -1 (+.f64 -4/29 (*.f64 -841/108 x))))) (pow.f64 (cbrt.f64 (/.f64 1 (/.f64 -1 (+.f64 -4/29 (*.f64 -841/108 x))))) 2)) (2)) ((*.f64 (pow.f64 (cbrt.f64 (/.f64 1 (/.f64 -1 (+.f64 -4/29 (*.f64 -841/108 x))))) 2) (cbrt.f64 (/.f64 1 (/.f64 -1 (+.f64 -4/29 (*.f64 -841/108 x)))))) (2)) ((*.f64 (/.f64 1 (fma.f64 x 841/108 -4/29)) (fma.f64 (*.f64 x x) 707281/11664 -16/841)) (2)) ((*.f64 (-.f64 16/841 (*.f64 x (*.f64 x 707281/11664))) (/.f64 -1 (fma.f64 x 841/108 -4/29))) (2)) ((*.f64 (/.f64 1 (sqrt.f64 (fma.f64 x 841/108 -4/29))) (/.f64 (fma.f64 (*.f64 x x) 707281/11664 -16/841) (sqrt.f64 (fma.f64 x 841/108 -4/29)))) (2)) ((*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x 841/108 -4/29)) 2)) (/.f64 (fma.f64 (*.f64 x x) 707281/11664 -16/841) (cbrt.f64 (fma.f64 x 841/108 -4/29)))) (2)) ((*.f64 (/.f64 (fma.f64 (*.f64 x x) 707281/11664 -16/841) (-.f64 16/841 (*.f64 x (*.f64 x 707281/11664)))) (+.f64 -4/29 (*.f64 -841/108 x))) (2)) ((*.f64 (/.f64 (fma.f64 (*.f64 x x) 707281/11664 -16/841) (+.f64 -64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712))) (-.f64 (fma.f64 (*.f64 x x) 707281/11664 16/841) (*.f64 -29/27 x))) (2)) ((*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 x x) 707281/11664 -16/841)) 1) (/.f64 (sqrt.f64 (fma.f64 (*.f64 x x) 707281/11664 -16/841)) (fma.f64 x 841/108 -4/29))) (2)) ((*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 x x) 707281/11664 -16/841)) (pow.f64 (cbrt.f64 (fma.f64 x 841/108 -4/29)) 2)) (/.f64 (sqrt.f64 (fma.f64 (*.f64 x x) 707281/11664 -16/841)) (cbrt.f64 (fma.f64 x 841/108 -4/29)))) (2)) ((*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) 707281/11664 -16/841)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 (*.f64 x x) 707281/11664 -16/841)) (fma.f64 x 841/108 -4/29))) (2)) ((*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) 707281/11664 -16/841)) 2) (sqrt.f64 (fma.f64 x 841/108 -4/29))) (/.f64 (cbrt.f64 (fma.f64 (*.f64 x x) 707281/11664 -16/841)) (sqrt.f64 (fma.f64 x 841/108 -4/29)))) (2)) ((*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) 707281/11664 -16/841)) 2) (pow.f64 (cbrt.f64 (fma.f64 x 841/108 -4/29)) 2)) (cbrt.f64 (/.f64 1 (/.f64 -1 (+.f64 -4/29 (*.f64 -841/108 x)))))) (2)) ((pow.f64 (/.f64 1 (/.f64 -1 (+.f64 -4/29 (*.f64 -841/108 x)))) 1) (2)) ((pow.f64 (/.f64 1 (sqrt.f64 (/.f64 -1 (+.f64 -4/29 (*.f64 -841/108 x))))) 2) (2)) ((pow.f64 (cbrt.f64 (/.f64 1 (/.f64 -1 (+.f64 -4/29 (*.f64 -841/108 x))))) 3) (2)) ((pow.f64 (pow.f64 (/.f64 1 (/.f64 -1 (+.f64 -4/29 (*.f64 -841/108 x)))) 3) 1/3) (2)) ((pow.f64 (/.f64 -1 (+.f64 -4/29 (*.f64 -841/108 x))) -1) (2)) ((neg.f64 (/.f64 (fma.f64 (*.f64 x x) 707281/11664 -16/841) (-.f64 4/29 (*.f64 x 841/108)))) (2)) ((sqrt.f64 (pow.f64 (/.f64 1 (/.f64 -1 (+.f64 -4/29 (*.f64 -841/108 x)))) 2)) (2)) ((log.f64 (exp.f64 (/.f64 1 (/.f64 -1 (+.f64 -4/29 (*.f64 -841/108 x)))))) (2)) ((log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (/.f64 -1 (+.f64 -4/29 (*.f64 -841/108 x))))))) (2)) ((cbrt.f64 (pow.f64 (/.f64 1 (/.f64 -1 (+.f64 -4/29 (*.f64 -841/108 x)))) 3)) (2)) ((expm1.f64 (log1p.f64 (/.f64 1 (/.f64 -1 (+.f64 -4/29 (*.f64 -841/108 x)))))) (2)) ((exp.f64 (neg.f64 (log.f64 (/.f64 -1 (+.f64 -4/29 (*.f64 -841/108 x)))))) (2)) ((exp.f64 (*.f64 (neg.f64 (log.f64 (/.f64 -1 (+.f64 -4/29 (*.f64 -841/108 x))))) 1)) (2)) ((log1p.f64 (expm1.f64 (/.f64 1 (/.f64 -1 (+.f64 -4/29 (*.f64 -841/108 x)))))) (2)))
(((-.f64 (exp.f64 (log1p.f64 (*.f64 x 707281/11664))) 1) (2)) ((pow.f64 (*.f64 x 707281/11664) 1) (2)) ((pow.f64 (*.f64 841/108 (sqrt.f64 x)) 2) (2)) ((pow.f64 (cbrt.f64 (*.f64 x 707281/11664)) 3) (2)) ((pow.f64 (pow.f64 (*.f64 x 707281/11664) 3) 1/3) (2)) ((sqrt.f64 (*.f64 (*.f64 x x) 500246412961/136048896)) (2)) ((log.f64 (pow.f64 (exp.f64 x) 707281/11664)) (2)) ((log.f64 (+.f64 1 (expm1.f64 (*.f64 x 707281/11664)))) (2)) ((cbrt.f64 (pow.f64 (*.f64 x 707281/11664) 3)) (2)) ((expm1.f64 (log1p.f64 (*.f64 x 707281/11664))) (2)) ((exp.f64 (log.f64 (*.f64 x 707281/11664))) (2)) ((exp.f64 (*.f64 (log.f64 (*.f64 x 707281/11664)) 1)) (2)) ((log1p.f64 (expm1.f64 (*.f64 x 707281/11664))) (2)))
(((-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x 707281/11664)))) 1) (2)) ((pow.f64 (*.f64 x (*.f64 x 707281/11664)) 1) (2)) ((pow.f64 (*.f64 x 841/108) 2) (2)) ((pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 707281/11664))) 3) (2)) ((pow.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 353814783205469041/1586874322944) 1/3) (2)) ((sqrt.f64 (pow.f64 (*.f64 x (*.f64 x 707281/11664)) 2)) (2)) ((log.f64 (pow.f64 (exp.f64 x) (*.f64 x 707281/11664))) (2)) ((log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x 707281/11664))))) (2)) ((cbrt.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 353814783205469041/1586874322944)) (2)) ((expm1.f64 (log1p.f64 (*.f64 x (*.f64 x 707281/11664)))) (2)) ((exp.f64 (log.f64 (*.f64 x (*.f64 x 707281/11664)))) (2)) ((exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x 707281/11664))) 1)) (2)) ((log1p.f64 (expm1.f64 (*.f64 x (*.f64 x 707281/11664)))) (2)))

simplify71.0ms (1.1%)

Algorithm
egg-herbie
Rules
1318×associate-/r/
848×unswap-sqr
588×*-commutative
588×+-commutative
584×distribute-lft-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01691680
14041476
214871454
356911450
Stop Event
node limit
Counts
96 → 91
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 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 1 (/.f64 -1 (+.f64 -4/29 (*.f64 -841/108 x)))))) 1)
(*.f64 (fma.f64 (*.f64 x x) 707281/11664 -16/841) (/.f64 1 (fma.f64 x 841/108 -4/29)))
(*.f64 (/.f64 1 (/.f64 -1 (+.f64 -4/29 (*.f64 -841/108 x)))) 1)
(*.f64 1 (/.f64 1 (/.f64 -1 (+.f64 -4/29 (*.f64 -841/108 x)))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 x x) 707281/11664 -16/841)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 x x) 707281/11664 -16/841)) (/.f64 1 (fma.f64 x 841/108 -4/29))))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 -1 (+.f64 -4/29 (*.f64 -841/108 x))))) (/.f64 1 (sqrt.f64 (/.f64 -1 (+.f64 -4/29 (*.f64 -841/108 x))))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) 707281/11664 -16/841)) 2) (*.f64 (cbrt.f64 (fma.f64 (*.f64 x x) 707281/11664 -16/841)) (/.f64 1 (fma.f64 x 841/108 -4/29))))
(*.f64 (cbrt.f64 (/.f64 1 (/.f64 -1 (+.f64 -4/29 (*.f64 -841/108 x))))) (pow.f64 (cbrt.f64 (/.f64 1 (/.f64 -1 (+.f64 -4/29 (*.f64 -841/108 x))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1 (/.f64 -1 (+.f64 -4/29 (*.f64 -841/108 x))))) 2) (cbrt.f64 (/.f64 1 (/.f64 -1 (+.f64 -4/29 (*.f64 -841/108 x))))))
(*.f64 (/.f64 1 (fma.f64 x 841/108 -4/29)) (fma.f64 (*.f64 x x) 707281/11664 -16/841))
(*.f64 (-.f64 16/841 (*.f64 x (*.f64 x 707281/11664))) (/.f64 -1 (fma.f64 x 841/108 -4/29)))
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 x 841/108 -4/29))) (/.f64 (fma.f64 (*.f64 x x) 707281/11664 -16/841) (sqrt.f64 (fma.f64 x 841/108 -4/29))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x 841/108 -4/29)) 2)) (/.f64 (fma.f64 (*.f64 x x) 707281/11664 -16/841) (cbrt.f64 (fma.f64 x 841/108 -4/29))))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) 707281/11664 -16/841) (-.f64 16/841 (*.f64 x (*.f64 x 707281/11664)))) (+.f64 -4/29 (*.f64 -841/108 x)))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) 707281/11664 -16/841) (+.f64 -64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712))) (-.f64 (fma.f64 (*.f64 x x) 707281/11664 16/841) (*.f64 -29/27 x)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 x x) 707281/11664 -16/841)) 1) (/.f64 (sqrt.f64 (fma.f64 (*.f64 x x) 707281/11664 -16/841)) (fma.f64 x 841/108 -4/29)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 x x) 707281/11664 -16/841)) (pow.f64 (cbrt.f64 (fma.f64 x 841/108 -4/29)) 2)) (/.f64 (sqrt.f64 (fma.f64 (*.f64 x x) 707281/11664 -16/841)) (cbrt.f64 (fma.f64 x 841/108 -4/29))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) 707281/11664 -16/841)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 (*.f64 x x) 707281/11664 -16/841)) (fma.f64 x 841/108 -4/29)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) 707281/11664 -16/841)) 2) (sqrt.f64 (fma.f64 x 841/108 -4/29))) (/.f64 (cbrt.f64 (fma.f64 (*.f64 x x) 707281/11664 -16/841)) (sqrt.f64 (fma.f64 x 841/108 -4/29))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) 707281/11664 -16/841)) 2) (pow.f64 (cbrt.f64 (fma.f64 x 841/108 -4/29)) 2)) (cbrt.f64 (/.f64 1 (/.f64 -1 (+.f64 -4/29 (*.f64 -841/108 x))))))
(pow.f64 (/.f64 1 (/.f64 -1 (+.f64 -4/29 (*.f64 -841/108 x)))) 1)
(pow.f64 (/.f64 1 (sqrt.f64 (/.f64 -1 (+.f64 -4/29 (*.f64 -841/108 x))))) 2)
(pow.f64 (cbrt.f64 (/.f64 1 (/.f64 -1 (+.f64 -4/29 (*.f64 -841/108 x))))) 3)
(pow.f64 (pow.f64 (/.f64 1 (/.f64 -1 (+.f64 -4/29 (*.f64 -841/108 x)))) 3) 1/3)
(pow.f64 (/.f64 -1 (+.f64 -4/29 (*.f64 -841/108 x))) -1)
(neg.f64 (/.f64 (fma.f64 (*.f64 x x) 707281/11664 -16/841) (-.f64 4/29 (*.f64 x 841/108))))
(sqrt.f64 (pow.f64 (/.f64 1 (/.f64 -1 (+.f64 -4/29 (*.f64 -841/108 x)))) 2))
(log.f64 (exp.f64 (/.f64 1 (/.f64 -1 (+.f64 -4/29 (*.f64 -841/108 x))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (/.f64 -1 (+.f64 -4/29 (*.f64 -841/108 x)))))))
(cbrt.f64 (pow.f64 (/.f64 1 (/.f64 -1 (+.f64 -4/29 (*.f64 -841/108 x)))) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (/.f64 -1 (+.f64 -4/29 (*.f64 -841/108 x))))))
(exp.f64 (neg.f64 (log.f64 (/.f64 -1 (+.f64 -4/29 (*.f64 -841/108 x))))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (/.f64 -1 (+.f64 -4/29 (*.f64 -841/108 x))))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (/.f64 -1 (+.f64 -4/29 (*.f64 -841/108 x))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 707281/11664))) 1)
(pow.f64 (*.f64 x 707281/11664) 1)
(pow.f64 (*.f64 841/108 (sqrt.f64 x)) 2)
(pow.f64 (cbrt.f64 (*.f64 x 707281/11664)) 3)
(pow.f64 (pow.f64 (*.f64 x 707281/11664) 3) 1/3)
(sqrt.f64 (*.f64 (*.f64 x x) 500246412961/136048896))
(log.f64 (pow.f64 (exp.f64 x) 707281/11664))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 707281/11664))))
(cbrt.f64 (pow.f64 (*.f64 x 707281/11664) 3))
(expm1.f64 (log1p.f64 (*.f64 x 707281/11664)))
(exp.f64 (log.f64 (*.f64 x 707281/11664)))
(exp.f64 (*.f64 (log.f64 (*.f64 x 707281/11664)) 1))
(log1p.f64 (expm1.f64 (*.f64 x 707281/11664)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x 707281/11664)))) 1)
(pow.f64 (*.f64 x (*.f64 x 707281/11664)) 1)
(pow.f64 (*.f64 x 841/108) 2)
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 707281/11664))) 3)
(pow.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 353814783205469041/1586874322944) 1/3)
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 x 707281/11664)) 2))
(log.f64 (pow.f64 (exp.f64 x) (*.f64 x 707281/11664)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x 707281/11664)))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 353814783205469041/1586874322944))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 x 707281/11664))))
(exp.f64 (log.f64 (*.f64 x (*.f64 x 707281/11664))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x 707281/11664))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 x 707281/11664))))
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 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 1 (/.f64 -1 (+.f64 -4/29 (*.f64 -841/108 x)))))) 1)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(*.f64 (fma.f64 (*.f64 x x) 707281/11664 -16/841) (/.f64 1 (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 1 (/.f64 -1 (+.f64 -4/29 (*.f64 -841/108 x)))) 1)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(*.f64 1 (/.f64 1 (/.f64 -1 (+.f64 -4/29 (*.f64 -841/108 x)))))
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(*.f64 (sqrt.f64 (fma.f64 (*.f64 x x) 707281/11664 -16/841)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 x x) 707281/11664 -16/841)) (/.f64 1 (fma.f64 x 841/108 -4/29))))
(*.f64 (fma.f64 (*.f64 x x) 707281/11664 -16/841) (/.f64 1 (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 1 (sqrt.f64 (/.f64 -1 (+.f64 -4/29 (*.f64 -841/108 x))))) (/.f64 1 (sqrt.f64 (/.f64 -1 (+.f64 -4/29 (*.f64 -841/108 x))))))
(pow.f64 (/.f64 1 (sqrt.f64 (/.f64 -1 (+.f64 -4/29 (*.f64 x -841/108))))) 2)
(pow.f64 (/.f64 1 (sqrt.f64 (/.f64 -1 (fma.f64 x -841/108 -4/29)))) 2)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) 707281/11664 -16/841)) 2) (*.f64 (cbrt.f64 (fma.f64 (*.f64 x x) 707281/11664 -16/841)) (/.f64 1 (fma.f64 x 841/108 -4/29))))
(*.f64 (fma.f64 (*.f64 x x) 707281/11664 -16/841) (/.f64 1 (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 (cbrt.f64 (/.f64 1 (/.f64 -1 (+.f64 -4/29 (*.f64 -841/108 x))))) (pow.f64 (cbrt.f64 (/.f64 1 (/.f64 -1 (+.f64 -4/29 (*.f64 -841/108 x))))) 2))
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1 (/.f64 -1 (+.f64 -4/29 (*.f64 -841/108 x))))) 2) (cbrt.f64 (/.f64 1 (/.f64 -1 (+.f64 -4/29 (*.f64 -841/108 x))))))
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(*.f64 (/.f64 1 (fma.f64 x 841/108 -4/29)) (fma.f64 (*.f64 x x) 707281/11664 -16/841))
(*.f64 (fma.f64 (*.f64 x x) 707281/11664 -16/841) (/.f64 1 (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 x (*.f64 x 707281/11664))) (/.f64 -1 (fma.f64 x 841/108 -4/29)))
(*.f64 (fma.f64 (*.f64 x x) 707281/11664 -16/841) (/.f64 1 (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 1 (sqrt.f64 (fma.f64 x 841/108 -4/29))) (/.f64 (fma.f64 (*.f64 x x) 707281/11664 -16/841) (sqrt.f64 (fma.f64 x 841/108 -4/29))))
(/.f64 (/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (sqrt.f64 (fma.f64 841/108 x -4/29))) (sqrt.f64 (fma.f64 841/108 x -4/29)))
(/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (*.f64 (sqrt.f64 (fma.f64 841/108 x -4/29)) (sqrt.f64 (fma.f64 841/108 x -4/29))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x 841/108 -4/29)) 2)) (/.f64 (fma.f64 (*.f64 x x) 707281/11664 -16/841) (cbrt.f64 (fma.f64 x 841/108 -4/29))))
(/.f64 (/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (cbrt.f64 (fma.f64 841/108 x -4/29))) (pow.f64 (cbrt.f64 (fma.f64 841/108 x -4/29)) 2))
(/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (*.f64 (pow.f64 (cbrt.f64 (fma.f64 841/108 x -4/29)) 2) (cbrt.f64 (fma.f64 841/108 x -4/29))))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) 707281/11664 -16/841) (-.f64 16/841 (*.f64 x (*.f64 x 707281/11664)))) (+.f64 -4/29 (*.f64 -841/108 x)))
(*.f64 (+.f64 -4/29 (*.f64 x -841/108)) (/.f64 (fma.f64 (*.f64 x x) 707281/11664 -16/841) (-.f64 16/841 (*.f64 x (*.f64 x 707281/11664)))))
(/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (/.f64 (+.f64 16/841 (*.f64 (*.f64 x x) -707281/11664)) (fma.f64 x -841/108 -4/29)))
(*.f64 (fma.f64 x -841/108 -4/29) (/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 x (*.f64 x -707281/11664) 16/841)))
(*.f64 (/.f64 (fma.f64 x -841/108 -4/29) (fma.f64 x (*.f64 x -707281/11664) 16/841)) (fma.f64 x (*.f64 x 707281/11664) -16/841))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) 707281/11664 -16/841) (+.f64 -64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712))) (-.f64 (fma.f64 (*.f64 x x) 707281/11664 16/841) (*.f64 -29/27 x)))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) 707281/11664 -16/841) (+.f64 -64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712))) (+.f64 (fma.f64 (*.f64 x x) 707281/11664 16/841) (*.f64 29/27 x)))
(*.f64 (/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 (pow.f64 x 3) 594823321/1259712 -64/24389)) (+.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841) (*.f64 x 29/27)))
(*.f64 (/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 (pow.f64 x 3) 594823321/1259712 -64/24389)) (fma.f64 x 29/27 (fma.f64 x (*.f64 x 707281/11664) 16/841)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 x x) 707281/11664 -16/841)) 1) (/.f64 (sqrt.f64 (fma.f64 (*.f64 x x) 707281/11664 -16/841)) (fma.f64 x 841/108 -4/29)))
(*.f64 (fma.f64 (*.f64 x x) 707281/11664 -16/841) (/.f64 1 (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 (sqrt.f64 (fma.f64 (*.f64 x x) 707281/11664 -16/841)) (pow.f64 (cbrt.f64 (fma.f64 x 841/108 -4/29)) 2)) (/.f64 (sqrt.f64 (fma.f64 (*.f64 x x) 707281/11664 -16/841)) (cbrt.f64 (fma.f64 x 841/108 -4/29))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x 841/108 -4/29)) 2)) (/.f64 (fma.f64 (*.f64 x x) 707281/11664 -16/841) (cbrt.f64 (fma.f64 x 841/108 -4/29))))
(/.f64 (/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (cbrt.f64 (fma.f64 841/108 x -4/29))) (pow.f64 (cbrt.f64 (fma.f64 841/108 x -4/29)) 2))
(/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (*.f64 (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 (fma.f64 (*.f64 x x) 707281/11664 -16/841)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 (*.f64 x x) 707281/11664 -16/841)) (fma.f64 x 841/108 -4/29)))
(*.f64 (fma.f64 (*.f64 x x) 707281/11664 -16/841) (/.f64 1 (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 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) 707281/11664 -16/841)) 2) (sqrt.f64 (fma.f64 x 841/108 -4/29))) (/.f64 (cbrt.f64 (fma.f64 (*.f64 x x) 707281/11664 -16/841)) (sqrt.f64 (fma.f64 x 841/108 -4/29))))
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 x 841/108 -4/29))) (/.f64 (fma.f64 (*.f64 x x) 707281/11664 -16/841) (sqrt.f64 (fma.f64 x 841/108 -4/29))))
(/.f64 (/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (sqrt.f64 (fma.f64 841/108 x -4/29))) (sqrt.f64 (fma.f64 841/108 x -4/29)))
(/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (*.f64 (sqrt.f64 (fma.f64 841/108 x -4/29)) (sqrt.f64 (fma.f64 841/108 x -4/29))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) 707281/11664 -16/841)) 2) (pow.f64 (cbrt.f64 (fma.f64 x 841/108 -4/29)) 2)) (cbrt.f64 (/.f64 1 (/.f64 -1 (+.f64 -4/29 (*.f64 -841/108 x))))))
(*.f64 (cbrt.f64 (*.f64 -1 (+.f64 -4/29 (*.f64 x -841/108)))) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) 707281/11664 -16/841)) 2) (pow.f64 (cbrt.f64 (fma.f64 x 841/108 -4/29)) 2)))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841)) 2) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 841/108 x -4/29)) 2) (cbrt.f64 (neg.f64 (fma.f64 x -841/108 -4/29)))))
(*.f64 (/.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) (pow.f64 (cbrt.f64 (fma.f64 841/108 x -4/29)) 2)) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841)) 2))
(pow.f64 (/.f64 1 (/.f64 -1 (+.f64 -4/29 (*.f64 -841/108 x)))) 1)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(pow.f64 (/.f64 1 (sqrt.f64 (/.f64 -1 (+.f64 -4/29 (*.f64 -841/108 x))))) 2)
(pow.f64 (/.f64 1 (sqrt.f64 (/.f64 -1 (+.f64 -4/29 (*.f64 x -841/108))))) 2)
(pow.f64 (/.f64 1 (sqrt.f64 (/.f64 -1 (fma.f64 x -841/108 -4/29)))) 2)
(pow.f64 (cbrt.f64 (/.f64 1 (/.f64 -1 (+.f64 -4/29 (*.f64 -841/108 x))))) 3)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(pow.f64 (pow.f64 (/.f64 1 (/.f64 -1 (+.f64 -4/29 (*.f64 -841/108 x)))) 3) 1/3)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(pow.f64 (/.f64 -1 (+.f64 -4/29 (*.f64 -841/108 x))) -1)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(neg.f64 (/.f64 (fma.f64 (*.f64 x x) 707281/11664 -16/841) (-.f64 4/29 (*.f64 x 841/108))))
(neg.f64 (/.f64 (fma.f64 (*.f64 x x) 707281/11664 -16/841) (-.f64 4/29 (*.f64 841/108 x))))
(/.f64 (+.f64 16/841 (*.f64 (*.f64 x x) -707281/11664)) (+.f64 4/29 (*.f64 x -841/108)))
(/.f64 (fma.f64 x (*.f64 x -707281/11664) 16/841) (fma.f64 x -841/108 4/29))
(sqrt.f64 (pow.f64 (/.f64 1 (/.f64 -1 (+.f64 -4/29 (*.f64 -841/108 x)))) 2))
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(log.f64 (exp.f64 (/.f64 1 (/.f64 -1 (+.f64 -4/29 (*.f64 -841/108 x))))))
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (/.f64 -1 (+.f64 -4/29 (*.f64 -841/108 x)))))))
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(cbrt.f64 (pow.f64 (/.f64 1 (/.f64 -1 (+.f64 -4/29 (*.f64 -841/108 x)))) 3))
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(expm1.f64 (log1p.f64 (/.f64 1 (/.f64 -1 (+.f64 -4/29 (*.f64 -841/108 x))))))
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(exp.f64 (neg.f64 (log.f64 (/.f64 -1 (+.f64 -4/29 (*.f64 -841/108 x))))))
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(exp.f64 (*.f64 (neg.f64 (log.f64 (/.f64 -1 (+.f64 -4/29 (*.f64 -841/108 x))))) 1))
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(log1p.f64 (expm1.f64 (/.f64 1 (/.f64 -1 (+.f64 -4/29 (*.f64 -841/108 x))))))
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 707281/11664))) 1)
(*.f64 x 707281/11664)
(pow.f64 (*.f64 x 707281/11664) 1)
(*.f64 x 707281/11664)
(pow.f64 (*.f64 841/108 (sqrt.f64 x)) 2)
(*.f64 x 707281/11664)
(pow.f64 (cbrt.f64 (*.f64 x 707281/11664)) 3)
(*.f64 x 707281/11664)
(pow.f64 (pow.f64 (*.f64 x 707281/11664) 3) 1/3)
(*.f64 x 707281/11664)
(sqrt.f64 (*.f64 (*.f64 x x) 500246412961/136048896))
(sqrt.f64 (*.f64 x (*.f64 x 500246412961/136048896)))
(fabs.f64 (*.f64 x 707281/11664))
(log.f64 (pow.f64 (exp.f64 x) 707281/11664))
(*.f64 x 707281/11664)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 707281/11664))))
(*.f64 x 707281/11664)
(cbrt.f64 (pow.f64 (*.f64 x 707281/11664) 3))
(*.f64 x 707281/11664)
(expm1.f64 (log1p.f64 (*.f64 x 707281/11664)))
(*.f64 x 707281/11664)
(exp.f64 (log.f64 (*.f64 x 707281/11664)))
(*.f64 x 707281/11664)
(exp.f64 (*.f64 (log.f64 (*.f64 x 707281/11664)) 1))
(*.f64 x 707281/11664)
(log1p.f64 (expm1.f64 (*.f64 x 707281/11664)))
(*.f64 x 707281/11664)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x 707281/11664)))) 1)
(*.f64 x (*.f64 x 707281/11664))
(pow.f64 (*.f64 x (*.f64 x 707281/11664)) 1)
(*.f64 x (*.f64 x 707281/11664))
(pow.f64 (*.f64 x 841/108) 2)
(*.f64 x (*.f64 x 707281/11664))
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 707281/11664))) 3)
(*.f64 x (*.f64 x 707281/11664))
(pow.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 353814783205469041/1586874322944) 1/3)
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 353814783205469041/1586874322944))
(cbrt.f64 (*.f64 (pow.f64 x 6) 353814783205469041/1586874322944))
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 x 707281/11664)) 2))
(*.f64 x (*.f64 x 707281/11664))
(log.f64 (pow.f64 (exp.f64 x) (*.f64 x 707281/11664)))
(*.f64 x (*.f64 x 707281/11664))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x 707281/11664)))))
(*.f64 x (*.f64 x 707281/11664))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 353814783205469041/1586874322944))
(cbrt.f64 (*.f64 (pow.f64 x 6) 353814783205469041/1586874322944))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 x 707281/11664))))
(*.f64 x (*.f64 x 707281/11664))
(exp.f64 (log.f64 (*.f64 x (*.f64 x 707281/11664))))
(*.f64 x (*.f64 x 707281/11664))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x 707281/11664))) 1))
(*.f64 x (*.f64 x 707281/11664))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 x 707281/11664))))
(*.f64 x (*.f64 x 707281/11664))

eval233.0ms (3.8%)

Compiler

Compiled 11402 to 8816 computations (22.7% saved)

prune89.0ms (1.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New5603563
Fresh011
Picked101
Done224
Total5636569
Accurracy
100.0%
Counts
569 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
57.6%
(/.f64 x (+.f64 (/.f64 -46656/20511149 x) 108/841))
99.9%
(+.f64 4/29 (*.f64 841/108 x))
99.7%
(*.f64 (/.f64 1 (/.f64 -1 (+.f64 -4/29 (*.f64 -841/108 x)))) 1)
57.3%
(*.f64 (/.f64 1 108/841) x)
57.7%
(*.f64 x 841/108)
43.6%
4/29
Compiler

Compiled 38 to 32 computations (15.8% saved)

regimes32.0ms (0.5%)

Counts
19 → 1
Calls
Call 1
Inputs
4/29
(*.f64 x 841/108)
(*.f64 (/.f64 1 108/841) x)
(+.f64 4/29 (*.f64 841/108 x))
(/.f64 1 (/.f64 108/841 x))
(/.f64 x (+.f64 (/.f64 -46656/20511149 x) 108/841))
(*.f64 (/.f64 1 (+.f64 108/841 (/.f64 -46656/20511149 x))) x)
(+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29))
(*.f64 (/.f64 1 (/.f64 -1 (+.f64 -4/29 (*.f64 -841/108 x)))) 1)
(/.f64 1 (-.f64 (/.f64 108/841 x) (/.f64 46656/20511149 (*.f64 x x))))
(/.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 (*.f64 x (*.f64 x 707281/11664)) -16/841) (+.f64 -4/29 (*.f64 841/108 x)))
(/.f64 1 (/.f64 (-.f64 4/29 (*.f64 841/108 x)) (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x)))))
(-.f64 (/.f64 16/841 (+.f64 4/29 (*.f64 x -841/108))) (*.f64 (/.f64 707281/11664 (+.f64 4/29 (*.f64 x -841/108))) (*.f64 x x)))
(/.f64 1 (/.f64 1 (fma.f64 841/108 x 4/29)))
(-.f64 (/.f64 16/841 (+.f64 4/29 (*.f64 x -841/108))) (*.f64 (*.f64 (/.f64 707281/11664 (fma.f64 x -841/108 4/29)) x) x))
(+.f64 (cbrt.f64 (*.f64 594823321/1259712 (pow.f64 x 3))) (/.f64 4 29))
(+.f64 (pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2) (/.f64 4 29))
Outputs
(+.f64 4/29 (*.f64 841/108 x))
Calls

3 calls:

9.0ms
(*.f64 (/.f64 841 108) x)
9.0ms
x
7.0ms
(+.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 202 to 159 computations (21.3% saved)

regimes10.0ms (0.2%)

Accuracy

Total -60.4b remaining (-4503%)

Threshold costs -60.4b (-4503%)

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

1 calls:

9.0ms
x
Results
AccuracySegmentsBranch
97.9%3x
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch30.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
15.0ms
1.4814263233654311e-5
26.337259372403302
15.0ms
-11.451475336091914
-4.619200308854122e-7
Results
27.0ms288×body256valid
Compiler

Compiled 158 to 138 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
01747
12547
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(+.f64 4/29 (*.f64 841/108 x))
(if (<=.f64 x -1261007895663739/72057594037927936) (*.f64 x 841/108) (if (<=.f64 x 5188146770730811/288230376151711744) 4/29 (*.f64 x 841/108)))
4/29
Outputs
(+.f64 4/29 (*.f64 841/108 x))
(if (<=.f64 x -1261007895663739/72057594037927936) (*.f64 x 841/108) (if (<=.f64 x 5188146770730811/288230376151711744) 4/29 (*.f64 x 841/108)))
(if (<=.f64 x -1261007895663739/72057594037927936) (*.f64 841/108 x) (if (<=.f64 x 5188146770730811/288230376151711744) 4/29 (*.f64 841/108 x)))
4/29
Compiler

Compiled 24 to 19 computations (20.8% saved)

soundness0.0ms (0%)

end21.0ms (0.3%)

Compiler

Compiled 22 to 17 computations (22.7% saved)

Profiling

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