Hyperbolic arcsine

Details

Time bar (total: 9.4s)

analyze64.0ms (0.7%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
50%50%50%0%0%0%0%2
50%50%50%0%0%0%0%3
62.5%62.5%37.5%0%0%0%0%4
68.8%68.7%31.2%0%0%0%0%5
71.9%71.8%28.1%0%0%0%0%6
73.4%73.4%26.5%0%0%0%0%7
74.2%74.2%25.8%0%0%0%0%8
74.6%74.6%25.4%0%0%0%0%9
74.8%74.8%25.2%0%0%0%0%10
74.9%74.9%25.1%0%0%0%0%11
75%74.9%25%0%0%0%0%12
Compiler

Compiled 11 to 8 computations (27.3% saved)

sample2.8s (30.2%)

Results
1.2s2592×body1024valid
769.0ms1203×body2048valid
467.0ms1353×body512valid
386.0ms3063×body256valid
24.0ms45×body4096valid
Bogosity

preprocess45.0ms (0.5%)

Algorithm
egg-herbie
Rules
+-commutative
1-exp
hypot-1-def
fma-def
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01023
11617
21717
011
Stop Event
saturated
saturated
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
Outputs
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x 1))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify37.0ms (0.4%)

Algorithm
egg-herbie
Rules
+-commutative
1-exp
hypot-1-def
fma-def
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01023
11617
21717
Stop Event
saturated
Counts
1 → 3
Calls
Call 1
Inputs
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
Outputs
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x 1))))
(log.f64 (+.f64 x (hypot.f64 1 x)))

eval1.0ms (0%)

Compiler

Compiled 24 to 16 computations (33.3% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New213
Fresh101
Picked000
Done000
Total314
Accurracy
29.2%
Counts
4 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
29.2%
(log.f64 (+.f64 x (hypot.f64 1 x)))
Compiler

Compiled 7 to 5 computations (28.6% saved)

localize121.0ms (1.3%)

Local Accuracy

Found 2 expressions with local accuracy:

NewAccuracyProgram
77.0%
(+.f64 x (hypot.f64 1 x))
52.8%
(log.f64 (+.f64 x (hypot.f64 1 x)))
Compiler

Compiled 18 to 12 computations (33.3% saved)

series3.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@0
(log.f64 (+.f64 x (hypot.f64 1 x)))
1.0ms
x
@-inf
(log.f64 (+.f64 x (hypot.f64 1 x)))
1.0ms
x
@inf
(log.f64 (+.f64 x (hypot.f64 1 x)))
0.0ms
x
@-inf
(+.f64 x (hypot.f64 1 x))
0.0ms
x
@inf
(+.f64 x (hypot.f64 1 x))

rewrite65.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
1590×pow1
1466×add-exp-log
1466×log1p-expm1-u
1466×expm1-log1p-u
1432×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0830
115830
2199930
Stop Event
node limit
Counts
2 → 56
Calls
Call 1
Inputs
(log.f64 (+.f64 x (hypot.f64 1 x)))
(+.f64 x (hypot.f64 1 x))
Outputs
(+.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(-.f64 (log.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x)))) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(*.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))
(-.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) 1)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (hypot.f64 1 x))) (/.f64 (+.f64 1 (*.f64 x x)) (-.f64 x (hypot.f64 1 x))))
(*.f64 1 (+.f64 x (hypot.f64 1 x)))
(*.f64 (+.f64 x (hypot.f64 1 x)) 1)
(*.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(*.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x))) (/.f64 1 (-.f64 x (hypot.f64 1 x))))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))) (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))))
(/.f64 1 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x)))))
(/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
(/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (+.f64 (+.f64 1 (*.f64 x x)) (-.f64 (*.f64 x x) (*.f64 x (hypot.f64 1 x)))))
(/.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x))) (-.f64 x (hypot.f64 1 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (neg.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x)))) (neg.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x)) (-.f64 (hypot.f64 1 x) x))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 1)
(pow.f64 (E.f64) (log.f64 (+.f64 x (hypot.f64 1 x))))
(pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 3)
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 2)
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))
(log.f64 (exp.f64 (+.f64 x (hypot.f64 1 x))))
(cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x))))
(exp.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(log1p.f64 (expm1.f64 (+.f64 x (hypot.f64 1 x))))
(fma.f64 1 x (hypot.f64 1 x))
(fma.f64 1 (hypot.f64 1 x) x)
(fma.f64 (cbrt.f64 (+.f64 1 (*.f64 x x))) (cbrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (hypot.f64 1 x))
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (hypot.f64 1 x))

simplify134.0ms (1.4%)

Algorithm
egg-herbie
Rules
1522×fma-def
1096×fma-neg
724×unswap-sqr
698×log-prod
450×associate-+l+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02142548
15482180
217102040
366102040
Stop Event
node limit
Counts
80 → 136
Calls
Call 1
Inputs
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
1
(+.f64 1 x)
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) x)))
(*.f64 2 x)
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 2 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 2 x) (*.f64 1/16 (/.f64 1 (pow.f64 x 5))))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(/.f64 -1/2 x)
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 5/128 (/.f64 1 (pow.f64 x 7)))) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))
(+.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(-.f64 (log.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x)))) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(*.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))
(-.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) 1)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (hypot.f64 1 x))) (/.f64 (+.f64 1 (*.f64 x x)) (-.f64 x (hypot.f64 1 x))))
(*.f64 1 (+.f64 x (hypot.f64 1 x)))
(*.f64 (+.f64 x (hypot.f64 1 x)) 1)
(*.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(*.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x))) (/.f64 1 (-.f64 x (hypot.f64 1 x))))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))) (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))))
(/.f64 1 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x)))))
(/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
(/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (+.f64 (+.f64 1 (*.f64 x x)) (-.f64 (*.f64 x x) (*.f64 x (hypot.f64 1 x)))))
(/.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x))) (-.f64 x (hypot.f64 1 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (neg.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x)))) (neg.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x)) (-.f64 (hypot.f64 1 x) x))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 1)
(pow.f64 (E.f64) (log.f64 (+.f64 x (hypot.f64 1 x))))
(pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 3)
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 2)
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))
(log.f64 (exp.f64 (+.f64 x (hypot.f64 1 x))))
(cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x))))
(exp.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(log1p.f64 (expm1.f64 (+.f64 x (hypot.f64 1 x))))
(fma.f64 1 x (hypot.f64 1 x))
(fma.f64 1 (hypot.f64 1 x) x)
(fma.f64 (cbrt.f64 (+.f64 1 (*.f64 x x))) (cbrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (hypot.f64 1 x))
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (hypot.f64 1 x))
Outputs
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x)))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x))))
(+.f64 (log.f64 2) (+.f64 (log.f64 x) (/.f64 1/4 (*.f64 x x))))
(+.f64 (/.f64 1/4 (*.f64 x x)) (+.f64 (log.f64 2) (log.f64 x)))
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(+.f64 x (hypot.f64 1 x))
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) x)
(+.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (hypot.f64 1 x))
(+.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))

eval84.0ms (0.9%)

Compiler

Compiled 1915 to 1409 computations (26.4% saved)

prune21.0ms (0.2%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1288136
Fresh000
Picked011
Done000
Total1289137
Accurracy
100.0%
Counts
137 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.6%
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x)))
52.1%
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x))
51.6%
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
25.2%
(log.f64 (/.f64 -1/2 x))
29.6%
(log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))
24.9%
(log.f64 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))))
29.2%
(log.f64 (+.f64 x (hypot.f64 1 x)))
24.0%
(log.f64 (+.f64 x x))
53.5%
x
Compiler

Compiled 153 to 118 computations (22.9% saved)

localize104.0ms (1.1%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
100.0%
(+.f64 (*.f64 3/40 (pow.f64 x 5)) x)
99.9%
(*.f64 3/40 (pow.f64 x 5))
99.8%
(*.f64 -1/6 (pow.f64 x 3))
67.7%
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x))
Compiler

Compiled 43 to 33 computations (23.3% saved)

series4.0ms (0%)

Counts
4 → 9
Calls

12 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(*.f64 -1/6 (pow.f64 x 3))
0.0ms
x
@inf
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x))
0.0ms
x
@0
(*.f64 3/40 (pow.f64 x 5))
0.0ms
x
@0
(*.f64 -1/6 (pow.f64 x 3))
0.0ms
x
@inf
(*.f64 3/40 (pow.f64 x 5))

rewrite99.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
1212×log-prod
1200×fma-def
604×pow-exp
590×pow-prod-up
544×fma-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01370
130070
2380070
Stop Event
node limit
Counts
4 → 190
Calls
Call 1
Inputs
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 3/40 (pow.f64 x 5))
(+.f64 (*.f64 3/40 (pow.f64 x 5)) x)
Outputs
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)))) 1)
(-.f64 (/.f64 (*.f64 (pow.f64 x 6) 1/36) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) (fma.f64 3/40 (pow.f64 x 5) x))) (/.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) (fma.f64 3/40 (pow.f64 x 5) x))))
(*.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)) 1)
(*.f64 1 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)))
(*.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))) (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))) 2) (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))))
(*.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))) (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))))
(*.f64 (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3)) (/.f64 1 (fma.f64 (fma.f64 3/40 (pow.f64 x 5) x) (-.f64 (fma.f64 3/40 (pow.f64 x 5) x) (*.f64 -1/6 (pow.f64 x 3))) (*.f64 (pow.f64 x 6) 1/36))))
(*.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2)) (/.f64 1 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) (fma.f64 3/40 (pow.f64 x 5) x))))
(/.f64 1 (/.f64 (fma.f64 (fma.f64 3/40 (pow.f64 x 5) x) (-.f64 (fma.f64 3/40 (pow.f64 x 5) x) (*.f64 -1/6 (pow.f64 x 3))) (*.f64 (pow.f64 x 6) 1/36)) (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3))))
(/.f64 1 (/.f64 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) (fma.f64 3/40 (pow.f64 x 5) x)) (-.f64 (*.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2))))
(/.f64 (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3)) (fma.f64 (fma.f64 3/40 (pow.f64 x 5) x) (-.f64 (fma.f64 3/40 (pow.f64 x 5) x) (*.f64 -1/6 (pow.f64 x 3))) (*.f64 (pow.f64 x 6) 1/36)))
(/.f64 (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3)) (+.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2) (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 (*.f64 -1/6 (pow.f64 x 3)) (fma.f64 3/40 (pow.f64 x 5) x)))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2)) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) (fma.f64 3/40 (pow.f64 x 5) x)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3))) (neg.f64 (fma.f64 (fma.f64 3/40 (pow.f64 x 5) x) (-.f64 (fma.f64 3/40 (pow.f64 x 5) x) (*.f64 -1/6 (pow.f64 x 3))) (*.f64 (pow.f64 x 6) 1/36))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2))) (neg.f64 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) (fma.f64 3/40 (pow.f64 x 5) x))))
(/.f64 (+.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -1/6 (pow.f64 x 3))) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -1/6 (pow.f64 x 3))) 2) (-.f64 (*.f64 x x) (*.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -1/6 (pow.f64 x 3))) x))))
(/.f64 (-.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2) (*.f64 (pow.f64 x 6) 1/36)) (-.f64 (fma.f64 3/40 (pow.f64 x 5) x) (*.f64 -1/6 (pow.f64 x 3))))
(/.f64 (-.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -1/6 (pow.f64 x 3))) 2) (*.f64 x x)) (-.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -1/6 (pow.f64 x 3))) x))
(pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)) 1)
(pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))) 3)
(pow.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))) 2)
(pow.f64 (/.f64 (fma.f64 (fma.f64 3/40 (pow.f64 x 5) x) (-.f64 (fma.f64 3/40 (pow.f64 x 5) x) (*.f64 -1/6 (pow.f64 x 3))) (*.f64 (pow.f64 x 6) 1/36)) (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3))) -1)
(pow.f64 (/.f64 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) (fma.f64 3/40 (pow.f64 x 5) x)) (-.f64 (*.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2))) -1)
(sqrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)) 2))
(log.f64 (exp.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)))))
(log.f64 (*.f64 (exp.f64 x) (exp.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -1/6 (pow.f64 x 3))))))
(log.f64 (*.f64 (exp.f64 x) (pow.f64 (exp.f64 1) (fma.f64 3/40 (pow.f64 x 5) (*.f64 -1/6 (pow.f64 x 3))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -1/6 (pow.f64 x 3))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (pow.f64 (exp.f64 1) (fma.f64 3/40 (pow.f64 x 5) (*.f64 -1/6 (pow.f64 x 3))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6) (+.f64 1 (expm1.f64 (fma.f64 3/40 (pow.f64 x 5) x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3)))) (exp.f64 (fma.f64 3/40 (pow.f64 x 5) x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3)))) (+.f64 1 (expm1.f64 (fma.f64 3/40 (pow.f64 x 5) x)))))
(log.f64 (*.f64 (exp.f64 (fma.f64 3/40 (pow.f64 x 5) x)) (+.f64 1 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 3/40 (pow.f64 x 5) x))) (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 3/40 (pow.f64 x 5) x))) (+.f64 1 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3))))))
(log.f64 (*.f64 (exp.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -1/6 (pow.f64 x 3)))) (+.f64 1 (expm1.f64 x))))
(log.f64 (*.f64 (pow.f64 (exp.f64 1) (fma.f64 3/40 (pow.f64 x 5) (*.f64 -1/6 (pow.f64 x 3)))) (exp.f64 x)))
(log.f64 (*.f64 (pow.f64 (exp.f64 1) (fma.f64 3/40 (pow.f64 x 5) (*.f64 -1/6 (pow.f64 x 3)))) (+.f64 1 (expm1.f64 x))))
(cbrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))))
(exp.f64 (log.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))))
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)))) 2))
(log1p.f64 (expm1.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(fma.f64 x 1 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -1/6 (pow.f64 x 3))))
(fma.f64 x (*.f64 (*.f64 x x) -1/6) (fma.f64 3/40 (pow.f64 x 5) x))
(fma.f64 (pow.f64 x 3) -1/6 (fma.f64 3/40 (pow.f64 x 5) x))
(fma.f64 (*.f64 -1/6 (pow.f64 x 3)) 1 (fma.f64 3/40 (pow.f64 x 5) x))
(fma.f64 3/40 (pow.f64 x 5) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))))
(fma.f64 (pow.f64 x 5) 3/40 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))))
(fma.f64 (*.f64 3/40 (pow.f64 x 5)) 1 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))))
(fma.f64 (fma.f64 3/40 (pow.f64 x 5) x) 1 (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 1 x (fma.f64 3/40 (pow.f64 x 5) (*.f64 -1/6 (pow.f64 x 3))))
(fma.f64 1 (*.f64 -1/6 (pow.f64 x 3)) (fma.f64 3/40 (pow.f64 x 5) x))
(fma.f64 1 (*.f64 3/40 (pow.f64 x 5)) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))))
(fma.f64 1 (fma.f64 3/40 (pow.f64 x 5) x) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 1 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -1/6 (pow.f64 x 3))) x)
(fma.f64 (cbrt.f64 (*.f64 3/40 (pow.f64 x 5))) (cbrt.f64 (*.f64 9/1600 (pow.f64 x 10))) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))))
(fma.f64 (cbrt.f64 (*.f64 9/1600 (pow.f64 x 10))) (cbrt.f64 (*.f64 3/40 (pow.f64 x 5))) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))))
(fma.f64 (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)) (pow.f64 (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)) 2) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)) 2) (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 (cbrt.f64 (pow.f64 x 10)) (*.f64 (cbrt.f64 (pow.f64 x 5)) 3/40) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))))
(fma.f64 (*.f64 x (cbrt.f64 -1/6)) (pow.f64 (*.f64 x (cbrt.f64 -1/6)) 2) (fma.f64 3/40 (pow.f64 x 5) x))
(fma.f64 (pow.f64 (*.f64 x (cbrt.f64 -1/6)) 2) (*.f64 x (cbrt.f64 -1/6)) (fma.f64 3/40 (pow.f64 x 5) x))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (fma.f64 3/40 (pow.f64 x 5) (*.f64 -1/6 (pow.f64 x 3))))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (fma.f64 3/40 (pow.f64 x 5) (*.f64 -1/6 (pow.f64 x 3))))
(fma.f64 (*.f64 x x) (*.f64 x -1/6) (fma.f64 3/40 (pow.f64 x 5) x))
(fma.f64 (*.f64 (sqrt.f64 3/40) (pow.f64 x 5/2)) (*.f64 (sqrt.f64 3/40) (pow.f64 x 5/2)) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))))
(fma.f64 (sqrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)) (sqrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 (pow.f64 x 3/2) (*.f64 (pow.f64 x 3/2) -1/6) (fma.f64 3/40 (pow.f64 x 5) x))
(fma.f64 (pow.f64 x 5/2) (*.f64 (pow.f64 x 5/2) 3/40) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))))
(fma.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) (fma.f64 3/40 (pow.f64 x 5) x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (fma.f64 3/40 (pow.f64 x 5) (*.f64 -1/6 (pow.f64 x 3))))
(fma.f64 (fma.f64 27/64000 (pow.f64 x 15) (pow.f64 x 3)) (/.f64 1 (-.f64 (fma.f64 9/1600 (pow.f64 x 10) (*.f64 x x)) (*.f64 3/40 (pow.f64 x 6)))) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 (-.f64 (*.f64 9/1600 (pow.f64 x 10)) (*.f64 x x)) (/.f64 1 (fma.f64 3/40 (pow.f64 x 5) (neg.f64 x))) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -1/6 (pow.f64 x 3))) 1 x)
(fma.f64 (*.f64 (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -1/6 (pow.f64 x 3)))) (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -1/6 (pow.f64 x 3))))) (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -1/6 (pow.f64 x 3)))) x)
(fma.f64 (sqrt.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -1/6 (pow.f64 x 3)))) (sqrt.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -1/6 (pow.f64 x 3)))) x)
(fma.f64 (*.f64 3/40 (cbrt.f64 (pow.f64 x 10))) (cbrt.f64 (pow.f64 x 5)) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))))
(fma.f64 (*.f64 3/40 (pow.f64 x 5/2)) (pow.f64 x 5/2) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))))
(fma.f64 (*.f64 -1/6 x) (*.f64 x x) (fma.f64 3/40 (pow.f64 x 5) x))
(fma.f64 (*.f64 -1/6 (*.f64 x x)) x (fma.f64 3/40 (pow.f64 x 5) x))
(fma.f64 (*.f64 -1/6 (pow.f64 x 3/2)) (pow.f64 x 3/2) (fma.f64 3/40 (pow.f64 x 5) x))
(+.f64 0 (*.f64 -1/6 (pow.f64 x 3)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6)) (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3)))) 1)
(pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 1)
(pow.f64 (*.f64 x (cbrt.f64 -1/6)) 3)
(pow.f64 (*.f64 (pow.f64 x 9) -1/216) 1/3)
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 6) 1/36))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3)))))
(cbrt.f64 (*.f64 (pow.f64 x 9) -1/216))
(expm1.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3))))
(exp.f64 (log.f64 (*.f64 -1/6 (pow.f64 x 3))))
(exp.f64 (*.f64 (log.f64 (*.f64 -1/6 (pow.f64 x 3))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 -1/6 (pow.f64 x 3))) 1) 1))
(exp.f64 (*.f64 (log.f64 (*.f64 x (cbrt.f64 -1/6))) 3))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 9) -1/216)) 1/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 -1/6 (pow.f64 x 3))) 3) 1/3))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6))) 2))
(log1p.f64 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3))))
(+.f64 0 (*.f64 3/40 (pow.f64 x 5)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 3/40) (pow.f64 x 5))) (cbrt.f64 (pow.f64 (exp.f64 3/40) (pow.f64 x 5))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 3/40) (pow.f64 x 5)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3/40) (pow.f64 x 5)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3/40) (pow.f64 x 5)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 3/40 (pow.f64 x 5)))) 1)
(pow.f64 (*.f64 3/40 (pow.f64 x 5)) 1)
(pow.f64 (cbrt.f64 (*.f64 3/40 (pow.f64 x 5))) 3)
(pow.f64 (*.f64 27/64000 (pow.f64 x 15)) 1/3)
(pow.f64 (*.f64 (sqrt.f64 3/40) (pow.f64 x 5/2)) 2)
(sqrt.f64 (*.f64 9/1600 (pow.f64 x 10)))
(log.f64 (pow.f64 (exp.f64 3/40) (pow.f64 x 5)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 3/40 (pow.f64 x 5)))))
(cbrt.f64 (*.f64 27/64000 (pow.f64 x 15)))
(expm1.f64 (log1p.f64 (*.f64 3/40 (pow.f64 x 5))))
(exp.f64 (fma.f64 5 (log.f64 x) (log.f64 3/40)))
(exp.f64 (*.f64 (fma.f64 5 (log.f64 x) (log.f64 3/40)) 1))
(exp.f64 (*.f64 (*.f64 (fma.f64 5 (log.f64 x) (log.f64 3/40)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 3/40 (pow.f64 x 5)))) 3))
(exp.f64 (*.f64 (log.f64 (*.f64 27/64000 (pow.f64 x 15))) 1/3))
(exp.f64 (*.f64 (*.f64 (fma.f64 5 (log.f64 x) (log.f64 3/40)) 3) 1/3))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 3/40) (pow.f64 x 5/2))) 2))
(log1p.f64 (expm1.f64 (*.f64 3/40 (pow.f64 x 5))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 3/40 (pow.f64 x 5) x))) 1)
(-.f64 (/.f64 (*.f64 9/1600 (pow.f64 x 10)) (fma.f64 3/40 (pow.f64 x 5) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 3/40 (pow.f64 x 5) (neg.f64 x))))
(*.f64 (fma.f64 3/40 (pow.f64 x 5) x) 1)
(*.f64 1 (fma.f64 3/40 (pow.f64 x 5) x))
(*.f64 (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)) (pow.f64 (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)) 2) (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)))
(*.f64 (sqrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)) (sqrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)))
(*.f64 (fma.f64 27/64000 (pow.f64 x 15) (pow.f64 x 3)) (/.f64 1 (-.f64 (fma.f64 9/1600 (pow.f64 x 10) (*.f64 x x)) (*.f64 3/40 (pow.f64 x 6)))))
(*.f64 (-.f64 (*.f64 9/1600 (pow.f64 x 10)) (*.f64 x x)) (/.f64 1 (fma.f64 3/40 (pow.f64 x 5) (neg.f64 x))))
(/.f64 1 (/.f64 (-.f64 (fma.f64 9/1600 (pow.f64 x 10) (*.f64 x x)) (*.f64 3/40 (pow.f64 x 6))) (fma.f64 27/64000 (pow.f64 x 15) (pow.f64 x 3))))
(/.f64 1 (/.f64 (fma.f64 3/40 (pow.f64 x 5) (neg.f64 x)) (-.f64 (*.f64 9/1600 (pow.f64 x 10)) (*.f64 x x))))
(/.f64 (fma.f64 27/64000 (pow.f64 x 15) (pow.f64 x 3)) (-.f64 (fma.f64 9/1600 (pow.f64 x 10) (*.f64 x x)) (*.f64 3/40 (pow.f64 x 6))))
(/.f64 (fma.f64 27/64000 (pow.f64 x 15) (pow.f64 x 3)) (fma.f64 x x (-.f64 (*.f64 9/1600 (pow.f64 x 10)) (*.f64 3/40 (pow.f64 x 6)))))
(/.f64 (-.f64 (*.f64 9/1600 (pow.f64 x 10)) (*.f64 x x)) (fma.f64 3/40 (pow.f64 x 5) (neg.f64 x)))
(/.f64 (neg.f64 (fma.f64 27/64000 (pow.f64 x 15) (pow.f64 x 3))) (neg.f64 (-.f64 (fma.f64 9/1600 (pow.f64 x 10) (*.f64 x x)) (*.f64 3/40 (pow.f64 x 6)))))
(/.f64 (neg.f64 (-.f64 (*.f64 9/1600 (pow.f64 x 10)) (*.f64 x x))) (neg.f64 (fma.f64 3/40 (pow.f64 x 5) (neg.f64 x))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 9/1600 (pow.f64 x 10))) (-.f64 x (*.f64 3/40 (pow.f64 x 5))))
(pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 1)
(pow.f64 (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)) 3)
(pow.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)) 2)
(pow.f64 (/.f64 (-.f64 (fma.f64 9/1600 (pow.f64 x 10) (*.f64 x x)) (*.f64 3/40 (pow.f64 x 6))) (fma.f64 27/64000 (pow.f64 x 15) (pow.f64 x 3))) -1)
(pow.f64 (/.f64 (fma.f64 3/40 (pow.f64 x 5) (neg.f64 x)) (-.f64 (*.f64 9/1600 (pow.f64 x 10)) (*.f64 x x))) -1)
(sqrt.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2))
(log.f64 (exp.f64 (fma.f64 3/40 (pow.f64 x 5) x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 3/40 (pow.f64 x 5) x))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (*.f64 3/40 (pow.f64 x 5))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (pow.f64 (exp.f64 3/40) (pow.f64 x 5))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (*.f64 3/40 (pow.f64 x 5))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 3/40) (pow.f64 x 5)) (+.f64 1 (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 3/40 (pow.f64 x 5)))) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 3/40 (pow.f64 x 5)))) (+.f64 1 (expm1.f64 x))))
(cbrt.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3))
(expm1.f64 (log1p.f64 (fma.f64 3/40 (pow.f64 x 5) x)))
(exp.f64 (log.f64 (fma.f64 3/40 (pow.f64 x 5) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 3/40 (pow.f64 x 5) x)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 3/40 (pow.f64 x 5) x)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) x))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 3/40 (pow.f64 x 5) x))) 1/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 3/40 (pow.f64 x 5) x)) 3) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 3/40 (pow.f64 x 5) x))) 2))
(log1p.f64 (expm1.f64 (fma.f64 3/40 (pow.f64 x 5) x)))
(fma.f64 x 1 (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 3/40 (pow.f64 x 5) x)
(fma.f64 (pow.f64 x 5) 3/40 x)
(fma.f64 (*.f64 3/40 (pow.f64 x 5)) 1 x)
(fma.f64 1 x (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 1 (*.f64 3/40 (pow.f64 x 5)) x)
(fma.f64 (cbrt.f64 (*.f64 3/40 (pow.f64 x 5))) (cbrt.f64 (*.f64 9/1600 (pow.f64 x 10))) x)
(fma.f64 (cbrt.f64 (*.f64 9/1600 (pow.f64 x 10))) (cbrt.f64 (*.f64 3/40 (pow.f64 x 5))) x)
(fma.f64 (cbrt.f64 (pow.f64 x 10)) (*.f64 (cbrt.f64 (pow.f64 x 5)) 3/40) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 (*.f64 (sqrt.f64 3/40) (pow.f64 x 5/2)) (*.f64 (sqrt.f64 3/40) (pow.f64 x 5/2)) x)
(fma.f64 (pow.f64 x 5/2) (*.f64 (pow.f64 x 5/2) 3/40) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 (*.f64 3/40 (cbrt.f64 (pow.f64 x 10))) (cbrt.f64 (pow.f64 x 5)) x)
(fma.f64 (*.f64 3/40 (pow.f64 x 5/2)) (pow.f64 x 5/2) x)

simplify133.0ms (1.4%)

Algorithm
egg-herbie
Rules
1344×times-frac
1056×unswap-sqr
620×fma-neg
502×log-prod
354×exp-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04216167
19856021
230445881
Stop Event
node limit
Counts
199 → 219
Calls
Call 1
Inputs
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(*.f64 3/40 (pow.f64 x 5))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5)))
(*.f64 3/40 (pow.f64 x 5))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5)))
x
(*.f64 3/40 (pow.f64 x 5))
(*.f64 3/40 (pow.f64 x 5))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)))) 1)
(-.f64 (/.f64 (*.f64 (pow.f64 x 6) 1/36) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) (fma.f64 3/40 (pow.f64 x 5) x))) (/.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) (fma.f64 3/40 (pow.f64 x 5) x))))
(*.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)) 1)
(*.f64 1 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)))
(*.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))) (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))) 2) (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))))
(*.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))) (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))))
(*.f64 (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3)) (/.f64 1 (fma.f64 (fma.f64 3/40 (pow.f64 x 5) x) (-.f64 (fma.f64 3/40 (pow.f64 x 5) x) (*.f64 -1/6 (pow.f64 x 3))) (*.f64 (pow.f64 x 6) 1/36))))
(*.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2)) (/.f64 1 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) (fma.f64 3/40 (pow.f64 x 5) x))))
(/.f64 1 (/.f64 (fma.f64 (fma.f64 3/40 (pow.f64 x 5) x) (-.f64 (fma.f64 3/40 (pow.f64 x 5) x) (*.f64 -1/6 (pow.f64 x 3))) (*.f64 (pow.f64 x 6) 1/36)) (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3))))
(/.f64 1 (/.f64 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) (fma.f64 3/40 (pow.f64 x 5) x)) (-.f64 (*.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2))))
(/.f64 (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3)) (fma.f64 (fma.f64 3/40 (pow.f64 x 5) x) (-.f64 (fma.f64 3/40 (pow.f64 x 5) x) (*.f64 -1/6 (pow.f64 x 3))) (*.f64 (pow.f64 x 6) 1/36)))
(/.f64 (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3)) (+.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2) (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 (*.f64 -1/6 (pow.f64 x 3)) (fma.f64 3/40 (pow.f64 x 5) x)))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2)) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) (fma.f64 3/40 (pow.f64 x 5) x)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3))) (neg.f64 (fma.f64 (fma.f64 3/40 (pow.f64 x 5) x) (-.f64 (fma.f64 3/40 (pow.f64 x 5) x) (*.f64 -1/6 (pow.f64 x 3))) (*.f64 (pow.f64 x 6) 1/36))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2))) (neg.f64 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) (fma.f64 3/40 (pow.f64 x 5) x))))
(/.f64 (+.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -1/6 (pow.f64 x 3))) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -1/6 (pow.f64 x 3))) 2) (-.f64 (*.f64 x x) (*.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -1/6 (pow.f64 x 3))) x))))
(/.f64 (-.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2) (*.f64 (pow.f64 x 6) 1/36)) (-.f64 (fma.f64 3/40 (pow.f64 x 5) x) (*.f64 -1/6 (pow.f64 x 3))))
(/.f64 (-.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -1/6 (pow.f64 x 3))) 2) (*.f64 x x)) (-.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -1/6 (pow.f64 x 3))) x))
(pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)) 1)
(pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))) 3)
(pow.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))) 2)
(pow.f64 (/.f64 (fma.f64 (fma.f64 3/40 (pow.f64 x 5) x) (-.f64 (fma.f64 3/40 (pow.f64 x 5) x) (*.f64 -1/6 (pow.f64 x 3))) (*.f64 (pow.f64 x 6) 1/36)) (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3))) -1)
(pow.f64 (/.f64 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) (fma.f64 3/40 (pow.f64 x 5) x)) (-.f64 (*.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2))) -1)
(sqrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)) 2))
(log.f64 (exp.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)))))
(log.f64 (*.f64 (exp.f64 x) (exp.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -1/6 (pow.f64 x 3))))))
(log.f64 (*.f64 (exp.f64 x) (pow.f64 (exp.f64 1) (fma.f64 3/40 (pow.f64 x 5) (*.f64 -1/6 (pow.f64 x 3))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -1/6 (pow.f64 x 3))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (pow.f64 (exp.f64 1) (fma.f64 3/40 (pow.f64 x 5) (*.f64 -1/6 (pow.f64 x 3))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6) (+.f64 1 (expm1.f64 (fma.f64 3/40 (pow.f64 x 5) x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3)))) (exp.f64 (fma.f64 3/40 (pow.f64 x 5) x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3)))) (+.f64 1 (expm1.f64 (fma.f64 3/40 (pow.f64 x 5) x)))))
(log.f64 (*.f64 (exp.f64 (fma.f64 3/40 (pow.f64 x 5) x)) (+.f64 1 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 3/40 (pow.f64 x 5) x))) (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 3/40 (pow.f64 x 5) x))) (+.f64 1 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3))))))
(log.f64 (*.f64 (exp.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -1/6 (pow.f64 x 3)))) (+.f64 1 (expm1.f64 x))))
(log.f64 (*.f64 (pow.f64 (exp.f64 1) (fma.f64 3/40 (pow.f64 x 5) (*.f64 -1/6 (pow.f64 x 3)))) (exp.f64 x)))
(log.f64 (*.f64 (pow.f64 (exp.f64 1) (fma.f64 3/40 (pow.f64 x 5) (*.f64 -1/6 (pow.f64 x 3)))) (+.f64 1 (expm1.f64 x))))
(cbrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))))
(exp.f64 (log.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))))
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)))) 2))
(log1p.f64 (expm1.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(fma.f64 x 1 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -1/6 (pow.f64 x 3))))
(fma.f64 x (*.f64 (*.f64 x x) -1/6) (fma.f64 3/40 (pow.f64 x 5) x))
(fma.f64 (pow.f64 x 3) -1/6 (fma.f64 3/40 (pow.f64 x 5) x))
(fma.f64 (*.f64 -1/6 (pow.f64 x 3)) 1 (fma.f64 3/40 (pow.f64 x 5) x))
(fma.f64 3/40 (pow.f64 x 5) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))))
(fma.f64 (pow.f64 x 5) 3/40 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))))
(fma.f64 (*.f64 3/40 (pow.f64 x 5)) 1 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))))
(fma.f64 (fma.f64 3/40 (pow.f64 x 5) x) 1 (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 1 x (fma.f64 3/40 (pow.f64 x 5) (*.f64 -1/6 (pow.f64 x 3))))
(fma.f64 1 (*.f64 -1/6 (pow.f64 x 3)) (fma.f64 3/40 (pow.f64 x 5) x))
(fma.f64 1 (*.f64 3/40 (pow.f64 x 5)) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))))
(fma.f64 1 (fma.f64 3/40 (pow.f64 x 5) x) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 1 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -1/6 (pow.f64 x 3))) x)
(fma.f64 (cbrt.f64 (*.f64 3/40 (pow.f64 x 5))) (cbrt.f64 (*.f64 9/1600 (pow.f64 x 10))) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))))
(fma.f64 (cbrt.f64 (*.f64 9/1600 (pow.f64 x 10))) (cbrt.f64 (*.f64 3/40 (pow.f64 x 5))) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))))
(fma.f64 (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)) (pow.f64 (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)) 2) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)) 2) (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 (cbrt.f64 (pow.f64 x 10)) (*.f64 (cbrt.f64 (pow.f64 x 5)) 3/40) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))))
(fma.f64 (*.f64 x (cbrt.f64 -1/6)) (pow.f64 (*.f64 x (cbrt.f64 -1/6)) 2) (fma.f64 3/40 (pow.f64 x 5) x))
(fma.f64 (pow.f64 (*.f64 x (cbrt.f64 -1/6)) 2) (*.f64 x (cbrt.f64 -1/6)) (fma.f64 3/40 (pow.f64 x 5) x))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (fma.f64 3/40 (pow.f64 x 5) (*.f64 -1/6 (pow.f64 x 3))))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (fma.f64 3/40 (pow.f64 x 5) (*.f64 -1/6 (pow.f64 x 3))))
(fma.f64 (*.f64 x x) (*.f64 x -1/6) (fma.f64 3/40 (pow.f64 x 5) x))
(fma.f64 (*.f64 (sqrt.f64 3/40) (pow.f64 x 5/2)) (*.f64 (sqrt.f64 3/40) (pow.f64 x 5/2)) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))))
(fma.f64 (sqrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)) (sqrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 (pow.f64 x 3/2) (*.f64 (pow.f64 x 3/2) -1/6) (fma.f64 3/40 (pow.f64 x 5) x))
(fma.f64 (pow.f64 x 5/2) (*.f64 (pow.f64 x 5/2) 3/40) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))))
(fma.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) (fma.f64 3/40 (pow.f64 x 5) x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (fma.f64 3/40 (pow.f64 x 5) (*.f64 -1/6 (pow.f64 x 3))))
(fma.f64 (fma.f64 27/64000 (pow.f64 x 15) (pow.f64 x 3)) (/.f64 1 (-.f64 (fma.f64 9/1600 (pow.f64 x 10) (*.f64 x x)) (*.f64 3/40 (pow.f64 x 6)))) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 (-.f64 (*.f64 9/1600 (pow.f64 x 10)) (*.f64 x x)) (/.f64 1 (fma.f64 3/40 (pow.f64 x 5) (neg.f64 x))) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -1/6 (pow.f64 x 3))) 1 x)
(fma.f64 (*.f64 (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -1/6 (pow.f64 x 3)))) (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -1/6 (pow.f64 x 3))))) (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -1/6 (pow.f64 x 3)))) x)
(fma.f64 (sqrt.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -1/6 (pow.f64 x 3)))) (sqrt.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -1/6 (pow.f64 x 3)))) x)
(fma.f64 (*.f64 3/40 (cbrt.f64 (pow.f64 x 10))) (cbrt.f64 (pow.f64 x 5)) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))))
(fma.f64 (*.f64 3/40 (pow.f64 x 5/2)) (pow.f64 x 5/2) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))))
(fma.f64 (*.f64 -1/6 x) (*.f64 x x) (fma.f64 3/40 (pow.f64 x 5) x))
(fma.f64 (*.f64 -1/6 (*.f64 x x)) x (fma.f64 3/40 (pow.f64 x 5) x))
(fma.f64 (*.f64 -1/6 (pow.f64 x 3/2)) (pow.f64 x 3/2) (fma.f64 3/40 (pow.f64 x 5) x))
(+.f64 0 (*.f64 -1/6 (pow.f64 x 3)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6)) (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3)))) 1)
(pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 1)
(pow.f64 (*.f64 x (cbrt.f64 -1/6)) 3)
(pow.f64 (*.f64 (pow.f64 x 9) -1/216) 1/3)
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 6) 1/36))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3)))))
(cbrt.f64 (*.f64 (pow.f64 x 9) -1/216))
(expm1.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3))))
(exp.f64 (log.f64 (*.f64 -1/6 (pow.f64 x 3))))
(exp.f64 (*.f64 (log.f64 (*.f64 -1/6 (pow.f64 x 3))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 -1/6 (pow.f64 x 3))) 1) 1))
(exp.f64 (*.f64 (log.f64 (*.f64 x (cbrt.f64 -1/6))) 3))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 9) -1/216)) 1/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 -1/6 (pow.f64 x 3))) 3) 1/3))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6))) 2))
(log1p.f64 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3))))
(+.f64 0 (*.f64 3/40 (pow.f64 x 5)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 3/40) (pow.f64 x 5))) (cbrt.f64 (pow.f64 (exp.f64 3/40) (pow.f64 x 5))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 3/40) (pow.f64 x 5)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3/40) (pow.f64 x 5)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3/40) (pow.f64 x 5)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 3/40 (pow.f64 x 5)))) 1)
(pow.f64 (*.f64 3/40 (pow.f64 x 5)) 1)
(pow.f64 (cbrt.f64 (*.f64 3/40 (pow.f64 x 5))) 3)
(pow.f64 (*.f64 27/64000 (pow.f64 x 15)) 1/3)
(pow.f64 (*.f64 (sqrt.f64 3/40) (pow.f64 x 5/2)) 2)
(sqrt.f64 (*.f64 9/1600 (pow.f64 x 10)))
(log.f64 (pow.f64 (exp.f64 3/40) (pow.f64 x 5)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 3/40 (pow.f64 x 5)))))
(cbrt.f64 (*.f64 27/64000 (pow.f64 x 15)))
(expm1.f64 (log1p.f64 (*.f64 3/40 (pow.f64 x 5))))
(exp.f64 (fma.f64 5 (log.f64 x) (log.f64 3/40)))
(exp.f64 (*.f64 (fma.f64 5 (log.f64 x) (log.f64 3/40)) 1))
(exp.f64 (*.f64 (*.f64 (fma.f64 5 (log.f64 x) (log.f64 3/40)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 3/40 (pow.f64 x 5)))) 3))
(exp.f64 (*.f64 (log.f64 (*.f64 27/64000 (pow.f64 x 15))) 1/3))
(exp.f64 (*.f64 (*.f64 (fma.f64 5 (log.f64 x) (log.f64 3/40)) 3) 1/3))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 3/40) (pow.f64 x 5/2))) 2))
(log1p.f64 (expm1.f64 (*.f64 3/40 (pow.f64 x 5))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 3/40 (pow.f64 x 5) x))) 1)
(-.f64 (/.f64 (*.f64 9/1600 (pow.f64 x 10)) (fma.f64 3/40 (pow.f64 x 5) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 3/40 (pow.f64 x 5) (neg.f64 x))))
(*.f64 (fma.f64 3/40 (pow.f64 x 5) x) 1)
(*.f64 1 (fma.f64 3/40 (pow.f64 x 5) x))
(*.f64 (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)) (pow.f64 (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)) 2) (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)))
(*.f64 (sqrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)) (sqrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)))
(*.f64 (fma.f64 27/64000 (pow.f64 x 15) (pow.f64 x 3)) (/.f64 1 (-.f64 (fma.f64 9/1600 (pow.f64 x 10) (*.f64 x x)) (*.f64 3/40 (pow.f64 x 6)))))
(*.f64 (-.f64 (*.f64 9/1600 (pow.f64 x 10)) (*.f64 x x)) (/.f64 1 (fma.f64 3/40 (pow.f64 x 5) (neg.f64 x))))
(/.f64 1 (/.f64 (-.f64 (fma.f64 9/1600 (pow.f64 x 10) (*.f64 x x)) (*.f64 3/40 (pow.f64 x 6))) (fma.f64 27/64000 (pow.f64 x 15) (pow.f64 x 3))))
(/.f64 1 (/.f64 (fma.f64 3/40 (pow.f64 x 5) (neg.f64 x)) (-.f64 (*.f64 9/1600 (pow.f64 x 10)) (*.f64 x x))))
(/.f64 (fma.f64 27/64000 (pow.f64 x 15) (pow.f64 x 3)) (-.f64 (fma.f64 9/1600 (pow.f64 x 10) (*.f64 x x)) (*.f64 3/40 (pow.f64 x 6))))
(/.f64 (fma.f64 27/64000 (pow.f64 x 15) (pow.f64 x 3)) (fma.f64 x x (-.f64 (*.f64 9/1600 (pow.f64 x 10)) (*.f64 3/40 (pow.f64 x 6)))))
(/.f64 (-.f64 (*.f64 9/1600 (pow.f64 x 10)) (*.f64 x x)) (fma.f64 3/40 (pow.f64 x 5) (neg.f64 x)))
(/.f64 (neg.f64 (fma.f64 27/64000 (pow.f64 x 15) (pow.f64 x 3))) (neg.f64 (-.f64 (fma.f64 9/1600 (pow.f64 x 10) (*.f64 x x)) (*.f64 3/40 (pow.f64 x 6)))))
(/.f64 (neg.f64 (-.f64 (*.f64 9/1600 (pow.f64 x 10)) (*.f64 x x))) (neg.f64 (fma.f64 3/40 (pow.f64 x 5) (neg.f64 x))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 9/1600 (pow.f64 x 10))) (-.f64 x (*.f64 3/40 (pow.f64 x 5))))
(pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 1)
(pow.f64 (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)) 3)
(pow.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)) 2)
(pow.f64 (/.f64 (-.f64 (fma.f64 9/1600 (pow.f64 x 10) (*.f64 x x)) (*.f64 3/40 (pow.f64 x 6))) (fma.f64 27/64000 (pow.f64 x 15) (pow.f64 x 3))) -1)
(pow.f64 (/.f64 (fma.f64 3/40 (pow.f64 x 5) (neg.f64 x)) (-.f64 (*.f64 9/1600 (pow.f64 x 10)) (*.f64 x x))) -1)
(sqrt.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2))
(log.f64 (exp.f64 (fma.f64 3/40 (pow.f64 x 5) x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 3/40 (pow.f64 x 5) x))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (*.f64 3/40 (pow.f64 x 5))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (pow.f64 (exp.f64 3/40) (pow.f64 x 5))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (*.f64 3/40 (pow.f64 x 5))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 3/40) (pow.f64 x 5)) (+.f64 1 (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 3/40 (pow.f64 x 5)))) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 3/40 (pow.f64 x 5)))) (+.f64 1 (expm1.f64 x))))
(cbrt.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3))
(expm1.f64 (log1p.f64 (fma.f64 3/40 (pow.f64 x 5) x)))
(exp.f64 (log.f64 (fma.f64 3/40 (pow.f64 x 5) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 3/40 (pow.f64 x 5) x)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 3/40 (pow.f64 x 5) x)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) x))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 3/40 (pow.f64 x 5) x))) 1/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 3/40 (pow.f64 x 5) x)) 3) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 3/40 (pow.f64 x 5) x))) 2))
(log1p.f64 (expm1.f64 (fma.f64 3/40 (pow.f64 x 5) x)))
(fma.f64 x 1 (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 3/40 (pow.f64 x 5) x)
(fma.f64 (pow.f64 x 5) 3/40 x)
(fma.f64 (*.f64 3/40 (pow.f64 x 5)) 1 x)
(fma.f64 1 x (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 1 (*.f64 3/40 (pow.f64 x 5)) x)
(fma.f64 (cbrt.f64 (*.f64 3/40 (pow.f64 x 5))) (cbrt.f64 (*.f64 9/1600 (pow.f64 x 10))) x)
(fma.f64 (cbrt.f64 (*.f64 9/1600 (pow.f64 x 10))) (cbrt.f64 (*.f64 3/40 (pow.f64 x 5))) x)
(fma.f64 (cbrt.f64 (pow.f64 x 10)) (*.f64 (cbrt.f64 (pow.f64 x 5)) 3/40) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 (*.f64 (sqrt.f64 3/40) (pow.f64 x 5/2)) (*.f64 (sqrt.f64 3/40) (pow.f64 x 5/2)) x)
(fma.f64 (pow.f64 x 5/2) (*.f64 (pow.f64 x 5/2) 3/40) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 (*.f64 3/40 (cbrt.f64 (pow.f64 x 10))) (cbrt.f64 (pow.f64 x 5)) x)
(fma.f64 (*.f64 3/40 (pow.f64 x 5/2)) (pow.f64 x 5/2) x)
Outputs
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(*.f64 3/40 (pow.f64 x 5))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))
(*.f64 3/40 (pow.f64 x 5))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))
x
(*.f64 3/40 (pow.f64 x 5))
(*.f64 3/40 (pow.f64 x 5))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)))) 1)
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(-.f64 (/.f64 (*.f64 (pow.f64 x 6) 1/36) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) (fma.f64 3/40 (pow.f64 x 5) x))) (/.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) (fma.f64 3/40 (pow.f64 x 5) x))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2)) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) (fma.f64 3/40 (pow.f64 x 5) x)))
(/.f64 (fma.f64 (pow.f64 x 6) -1/36 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2)) (fma.f64 (pow.f64 x 3) 1/6 (fma.f64 3/40 (pow.f64 x 5) x)))
(*.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)) 1)
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(*.f64 1 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(*.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))) (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))) 2))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))) 2) (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(*.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))) (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(*.f64 (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3)) (/.f64 1 (fma.f64 (fma.f64 3/40 (pow.f64 x 5) x) (-.f64 (fma.f64 3/40 (pow.f64 x 5) x) (*.f64 -1/6 (pow.f64 x 3))) (*.f64 (pow.f64 x 6) 1/36))))
(/.f64 (*.f64 (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3)) 1) (fma.f64 (fma.f64 3/40 (pow.f64 x 5) x) (+.f64 (fma.f64 3/40 (pow.f64 x 5) x) (*.f64 1/6 (pow.f64 x 3))) (*.f64 (pow.f64 x 6) 1/36)))
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(/.f64 1 (/.f64 (fma.f64 3/40 (pow.f64 x 5) (neg.f64 x)) (-.f64 (*.f64 9/1600 (pow.f64 x 10)) (*.f64 x x))))
(/.f64 (-.f64 (*.f64 9/1600 (pow.f64 x 10)) (*.f64 x x)) (fma.f64 3/40 (pow.f64 x 5) (neg.f64 x)))
(/.f64 (-.f64 (*.f64 9/1600 (pow.f64 x 10)) (*.f64 x x)) (-.f64 (*.f64 3/40 (pow.f64 x 5)) x))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 x 10) -9/1600)) (fma.f64 (pow.f64 x 5) -3/40 x))
(/.f64 (fma.f64 27/64000 (pow.f64 x 15) (pow.f64 x 3)) (-.f64 (fma.f64 9/1600 (pow.f64 x 10) (*.f64 x x)) (*.f64 3/40 (pow.f64 x 6))))
(*.f64 (fma.f64 27/64000 (pow.f64 x 15) (pow.f64 x 3)) (/.f64 1 (+.f64 (fma.f64 9/1600 (pow.f64 x 10) (*.f64 x x)) (*.f64 -3/40 (pow.f64 x 6)))))
(/.f64 (fma.f64 27/64000 (pow.f64 x 15) (pow.f64 x 3)) (fma.f64 x x (fma.f64 9/1600 (pow.f64 x 10) (*.f64 (pow.f64 x 6) -3/40))))
(/.f64 (fma.f64 27/64000 (pow.f64 x 15) (pow.f64 x 3)) (fma.f64 x x (-.f64 (*.f64 9/1600 (pow.f64 x 10)) (*.f64 3/40 (pow.f64 x 6)))))
(*.f64 (fma.f64 27/64000 (pow.f64 x 15) (pow.f64 x 3)) (/.f64 1 (+.f64 (fma.f64 9/1600 (pow.f64 x 10) (*.f64 x x)) (*.f64 -3/40 (pow.f64 x 6)))))
(/.f64 (fma.f64 27/64000 (pow.f64 x 15) (pow.f64 x 3)) (fma.f64 x x (fma.f64 9/1600 (pow.f64 x 10) (*.f64 (pow.f64 x 6) -3/40))))
(/.f64 (-.f64 (*.f64 9/1600 (pow.f64 x 10)) (*.f64 x x)) (fma.f64 3/40 (pow.f64 x 5) (neg.f64 x)))
(/.f64 (-.f64 (*.f64 9/1600 (pow.f64 x 10)) (*.f64 x x)) (-.f64 (*.f64 3/40 (pow.f64 x 5)) x))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 x 10) -9/1600)) (fma.f64 (pow.f64 x 5) -3/40 x))
(/.f64 (neg.f64 (fma.f64 27/64000 (pow.f64 x 15) (pow.f64 x 3))) (neg.f64 (-.f64 (fma.f64 9/1600 (pow.f64 x 10) (*.f64 x x)) (*.f64 3/40 (pow.f64 x 6)))))
(*.f64 (fma.f64 27/64000 (pow.f64 x 15) (pow.f64 x 3)) (/.f64 1 (+.f64 (fma.f64 9/1600 (pow.f64 x 10) (*.f64 x x)) (*.f64 -3/40 (pow.f64 x 6)))))
(/.f64 (fma.f64 27/64000 (pow.f64 x 15) (pow.f64 x 3)) (fma.f64 x x (fma.f64 9/1600 (pow.f64 x 10) (*.f64 (pow.f64 x 6) -3/40))))
(/.f64 (neg.f64 (-.f64 (*.f64 9/1600 (pow.f64 x 10)) (*.f64 x x))) (neg.f64 (fma.f64 3/40 (pow.f64 x 5) (neg.f64 x))))
(/.f64 (-.f64 (*.f64 9/1600 (pow.f64 x 10)) (*.f64 x x)) (fma.f64 3/40 (pow.f64 x 5) (neg.f64 x)))
(/.f64 (-.f64 (*.f64 9/1600 (pow.f64 x 10)) (*.f64 x x)) (-.f64 (*.f64 3/40 (pow.f64 x 5)) x))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 x 10) -9/1600)) (fma.f64 (pow.f64 x 5) -3/40 x))
(/.f64 (-.f64 (*.f64 x x) (*.f64 9/1600 (pow.f64 x 10))) (-.f64 x (*.f64 3/40 (pow.f64 x 5))))
(/.f64 (-.f64 (*.f64 9/1600 (pow.f64 x 10)) (*.f64 x x)) (fma.f64 3/40 (pow.f64 x 5) (neg.f64 x)))
(/.f64 (-.f64 (*.f64 9/1600 (pow.f64 x 10)) (*.f64 x x)) (-.f64 (*.f64 3/40 (pow.f64 x 5)) x))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 x 10) -9/1600)) (fma.f64 (pow.f64 x 5) -3/40 x))
(pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 1)
(fma.f64 3/40 (pow.f64 x 5) x)
(pow.f64 (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)) 3)
(fma.f64 3/40 (pow.f64 x 5) x)
(pow.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3) 1/3)
(fma.f64 3/40 (pow.f64 x 5) x)
(pow.f64 (sqrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)) 2)
(fma.f64 3/40 (pow.f64 x 5) x)
(pow.f64 (/.f64 (-.f64 (fma.f64 9/1600 (pow.f64 x 10) (*.f64 x x)) (*.f64 3/40 (pow.f64 x 6))) (fma.f64 27/64000 (pow.f64 x 15) (pow.f64 x 3))) -1)
(*.f64 (fma.f64 27/64000 (pow.f64 x 15) (pow.f64 x 3)) (/.f64 1 (+.f64 (fma.f64 9/1600 (pow.f64 x 10) (*.f64 x x)) (*.f64 -3/40 (pow.f64 x 6)))))
(/.f64 (fma.f64 27/64000 (pow.f64 x 15) (pow.f64 x 3)) (fma.f64 x x (fma.f64 9/1600 (pow.f64 x 10) (*.f64 (pow.f64 x 6) -3/40))))
(pow.f64 (/.f64 (fma.f64 3/40 (pow.f64 x 5) (neg.f64 x)) (-.f64 (*.f64 9/1600 (pow.f64 x 10)) (*.f64 x x))) -1)
(/.f64 (-.f64 (*.f64 9/1600 (pow.f64 x 10)) (*.f64 x x)) (fma.f64 3/40 (pow.f64 x 5) (neg.f64 x)))
(/.f64 (-.f64 (*.f64 9/1600 (pow.f64 x 10)) (*.f64 x x)) (-.f64 (*.f64 3/40 (pow.f64 x 5)) x))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 x 10) -9/1600)) (fma.f64 (pow.f64 x 5) -3/40 x))
(sqrt.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2))
(fma.f64 3/40 (pow.f64 x 5) x)
(log.f64 (exp.f64 (fma.f64 3/40 (pow.f64 x 5) x)))
(fma.f64 3/40 (pow.f64 x 5) x)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 3/40 (pow.f64 x 5) x))))
(fma.f64 3/40 (pow.f64 x 5) x)
(log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (*.f64 3/40 (pow.f64 x 5))))))
(fma.f64 3/40 (pow.f64 x 5) x)
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (pow.f64 (exp.f64 3/40) (pow.f64 x 5))))
(fma.f64 3/40 (pow.f64 x 5) x)
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (*.f64 3/40 (pow.f64 x 5))))))
(fma.f64 3/40 (pow.f64 x 5) x)
(log.f64 (*.f64 (pow.f64 (exp.f64 3/40) (pow.f64 x 5)) (+.f64 1 (expm1.f64 x))))
(fma.f64 3/40 (pow.f64 x 5) x)
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 3/40 (pow.f64 x 5)))) (exp.f64 x)))
(fma.f64 3/40 (pow.f64 x 5) x)
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 3/40 (pow.f64 x 5)))) (+.f64 1 (expm1.f64 x))))
(fma.f64 3/40 (pow.f64 x 5) x)
(cbrt.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3))
(fma.f64 3/40 (pow.f64 x 5) x)
(expm1.f64 (log1p.f64 (fma.f64 3/40 (pow.f64 x 5) x)))
(fma.f64 3/40 (pow.f64 x 5) x)
(exp.f64 (log.f64 (fma.f64 3/40 (pow.f64 x 5) x)))
(fma.f64 3/40 (pow.f64 x 5) x)
(exp.f64 (*.f64 (log.f64 (fma.f64 3/40 (pow.f64 x 5) x)) 1))
(fma.f64 3/40 (pow.f64 x 5) x)
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 3/40 (pow.f64 x 5) x)) 1) 1))
(fma.f64 3/40 (pow.f64 x 5) x)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) x))) 3))
(fma.f64 3/40 (pow.f64 x 5) x)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 3/40 (pow.f64 x 5) x))) 1/3))
(fma.f64 3/40 (pow.f64 x 5) x)
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 3/40 (pow.f64 x 5) x)) 3) 1/3))
(fma.f64 3/40 (pow.f64 x 5) x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 3/40 (pow.f64 x 5) x))) 2))
(fma.f64 3/40 (pow.f64 x 5) x)
(log1p.f64 (expm1.f64 (fma.f64 3/40 (pow.f64 x 5) x)))
(fma.f64 3/40 (pow.f64 x 5) x)
(fma.f64 x 1 (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 3/40 (pow.f64 x 5) x)
(fma.f64 3/40 (pow.f64 x 5) x)
(fma.f64 (pow.f64 x 5) 3/40 x)
(fma.f64 3/40 (pow.f64 x 5) x)
(fma.f64 (*.f64 3/40 (pow.f64 x 5)) 1 x)
(fma.f64 3/40 (pow.f64 x 5) x)
(fma.f64 1 x (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 3/40 (pow.f64 x 5) x)
(fma.f64 1 (*.f64 3/40 (pow.f64 x 5)) x)
(fma.f64 3/40 (pow.f64 x 5) x)
(fma.f64 (cbrt.f64 (*.f64 3/40 (pow.f64 x 5))) (cbrt.f64 (*.f64 9/1600 (pow.f64 x 10))) x)
(fma.f64 (cbrt.f64 (*.f64 9/1600 (pow.f64 x 10))) (cbrt.f64 (*.f64 3/40 (pow.f64 x 5))) x)
(fma.f64 (cbrt.f64 (*.f64 3/40 (pow.f64 x 5))) (cbrt.f64 (*.f64 9/1600 (pow.f64 x 10))) x)
(fma.f64 (cbrt.f64 (pow.f64 x 10)) (*.f64 (cbrt.f64 (pow.f64 x 5)) 3/40) x)
(fma.f64 (cbrt.f64 (pow.f64 x 10)) (*.f64 3/40 (cbrt.f64 (pow.f64 x 5))) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 3/40 (pow.f64 x 5) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 3/40 (pow.f64 x 5) x)
(fma.f64 (*.f64 (sqrt.f64 3/40) (pow.f64 x 5/2)) (*.f64 (sqrt.f64 3/40) (pow.f64 x 5/2)) x)
(fma.f64 3/40 (pow.f64 x 5) x)
(fma.f64 (pow.f64 x 5/2) (*.f64 (pow.f64 x 5/2) 3/40) x)
(fma.f64 3/40 (pow.f64 x 5) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 3/40 (pow.f64 x 5) x)
(fma.f64 (*.f64 3/40 (cbrt.f64 (pow.f64 x 10))) (cbrt.f64 (pow.f64 x 5)) x)
(fma.f64 (cbrt.f64 (pow.f64 x 10)) (*.f64 3/40 (cbrt.f64 (pow.f64 x 5))) x)
(fma.f64 (*.f64 3/40 (pow.f64 x 5/2)) (pow.f64 x 5/2) x)
(fma.f64 3/40 (pow.f64 x 5) x)

localize19.0ms (0.2%)

Compiler

Compiled 10 to 4 computations (60% saved)

localize29.0ms (0.3%)

Compiler

Compiled 11 to 8 computations (27.3% saved)

localize36.0ms (0.4%)

Local Accuracy

Found 2 expressions with local accuracy:

NewAccuracyProgram
100.0%
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
99.8%
(*.f64 -1/6 (pow.f64 x 3))
Compiler

Compiled 20 to 15 computations (25% saved)

series0.0ms (0%)

Counts
1 → 3
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
0.0ms
x
@0
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
0.0ms
x
@-inf
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)

rewrite82.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
1702×pow1
1596×add-exp-log
1596×log1p-expm1-u
1596×expm1-log1p-u
1566×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0815
118015
2218515
Stop Event
node limit
Counts
1 → 35
Calls
Call 1
Inputs
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
Outputs
(-.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 1)
(-.f64 (/.f64 (*.f64 (pow.f64 x 6) 1/36) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x)))
(*.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1)
(*.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))
(*.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 2) (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(*.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3)) (/.f64 1 (+.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x (-.f64 x (*.f64 -1/6 (pow.f64 x 3)))))))
(*.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x x)) (/.f64 1 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x)))
(/.f64 1 (/.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x (-.f64 x (*.f64 -1/6 (pow.f64 x 3))))) (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3))))
(/.f64 1 (/.f64 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x) (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3)) (+.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x (-.f64 x (*.f64 -1/6 (pow.f64 x 3))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x (*.f64 -1/6 (pow.f64 x 3))))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x x)) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3))) (neg.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x (-.f64 x (*.f64 -1/6 (pow.f64 x 3)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x)))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 x 6) 1/36)) (-.f64 x (*.f64 -1/6 (pow.f64 x 3))))
(pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1)
(pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 3)
(pow.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 2)
(sqrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2))
(log.f64 (exp.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(cbrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 3))
(expm1.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(exp.f64 (log.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(log1p.f64 (expm1.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 (pow.f64 x 3) -1/6 x)
(fma.f64 1 x (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 1 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 (pow.f64 (*.f64 x (cbrt.f64 -1/6)) 2) (*.f64 x (cbrt.f64 -1/6)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 (*.f64 (sqrt.f64 -1/6) (pow.f64 x 3/2)) (*.f64 (sqrt.f64 -1/6) (pow.f64 x 3/2)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 -1/6 (pow.f64 x 3)))

simplify57.0ms (0.6%)

Algorithm
egg-herbie
Rules
986×div-sub
934×fma-neg
782×distribute-rgt-in
770×distribute-lft-in
760×cancel-sign-sub-inv
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0931374
12361180
2821968
33600968
Stop Event
node limit
Counts
38 → 45
Calls
Call 1
Inputs
x
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(-.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 1)
(-.f64 (/.f64 (*.f64 (pow.f64 x 6) 1/36) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x)))
(*.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1)
(*.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))
(*.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 2) (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(*.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3)) (/.f64 1 (+.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x (-.f64 x (*.f64 -1/6 (pow.f64 x 3)))))))
(*.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x x)) (/.f64 1 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x)))
(/.f64 1 (/.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x (-.f64 x (*.f64 -1/6 (pow.f64 x 3))))) (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3))))
(/.f64 1 (/.f64 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x) (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3)) (+.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x (-.f64 x (*.f64 -1/6 (pow.f64 x 3))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x (*.f64 -1/6 (pow.f64 x 3))))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x x)) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3))) (neg.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x (-.f64 x (*.f64 -1/6 (pow.f64 x 3)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x)))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 x 6) 1/36)) (-.f64 x (*.f64 -1/6 (pow.f64 x 3))))
(pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1)
(pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 3)
(pow.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 2)
(sqrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2))
(log.f64 (exp.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(cbrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 3))
(expm1.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(exp.f64 (log.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(log1p.f64 (expm1.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 (pow.f64 x 3) -1/6 x)
(fma.f64 1 x (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 1 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 (pow.f64 (*.f64 x (cbrt.f64 -1/6)) 2) (*.f64 x (cbrt.f64 -1/6)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 (*.f64 (sqrt.f64 -1/6) (pow.f64 x 3/2)) (*.f64 (sqrt.f64 -1/6) (pow.f64 x 3/2)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 -1/6 (pow.f64 x 3)))
Outputs
x
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(-.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 1)
(+.f64 1 (-.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1))
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 0)
(fma.f64 -1/6 (pow.f64 x 3) x)
(-.f64 (/.f64 (*.f64 (pow.f64 x 6) 1/36) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x)))
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x x)) (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x)))
(/.f64 (fma.f64 (pow.f64 x 6) -1/36 (*.f64 x x)) (fma.f64 (pow.f64 x 3) 1/6 x))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 x 6) -1/36)) (fma.f64 (pow.f64 x 3) 1/6 x))
(*.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1)
(+.f64 1 (-.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1))
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 0)
(fma.f64 -1/6 (pow.f64 x 3) x)
(*.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))
(+.f64 1 (-.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1))
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 0)
(fma.f64 -1/6 (pow.f64 x 3) x)
(*.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 2))
(+.f64 1 (-.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1))
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 0)
(fma.f64 -1/6 (pow.f64 x 3) x)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 2) (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(+.f64 1 (-.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1))
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 0)
(fma.f64 -1/6 (pow.f64 x 3) x)
(*.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(+.f64 1 (-.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1))
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 0)
(fma.f64 -1/6 (pow.f64 x 3) x)
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3)) (/.f64 1 (+.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x (-.f64 x (*.f64 -1/6 (pow.f64 x 3)))))))
(*.f64 (+.f64 (pow.f64 x 3) (*.f64 -1/216 (pow.f64 (pow.f64 x 3) 3))) (/.f64 1 (fma.f64 (pow.f64 x 6) 1/36 (*.f64 x (+.f64 x (*.f64 1/6 (pow.f64 x 3)))))))
(/.f64 (fma.f64 -1/216 (pow.f64 (pow.f64 x 3) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (*.f64 (pow.f64 x 3) 1/6)) (*.f64 (pow.f64 x 6) 1/36)))
(/.f64 (fma.f64 -1/216 (pow.f64 (pow.f64 x 3) 3) (pow.f64 x 3)) (fma.f64 x x (fma.f64 (pow.f64 x 6) 1/36 (*.f64 1/6 (pow.f64 x 4)))))
(*.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x x)) (/.f64 1 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x)))
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x x)) (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x)))
(/.f64 (fma.f64 (pow.f64 x 6) -1/36 (*.f64 x x)) (fma.f64 (pow.f64 x 3) 1/6 x))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 x 6) -1/36)) (fma.f64 (pow.f64 x 3) 1/6 x))
(/.f64 1 (/.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x (-.f64 x (*.f64 -1/6 (pow.f64 x 3))))) (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3))))
(*.f64 (+.f64 (pow.f64 x 3) (*.f64 -1/216 (pow.f64 (pow.f64 x 3) 3))) (/.f64 1 (fma.f64 (pow.f64 x 6) 1/36 (*.f64 x (+.f64 x (*.f64 1/6 (pow.f64 x 3)))))))
(/.f64 (fma.f64 -1/216 (pow.f64 (pow.f64 x 3) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (*.f64 (pow.f64 x 3) 1/6)) (*.f64 (pow.f64 x 6) 1/36)))
(/.f64 (fma.f64 -1/216 (pow.f64 (pow.f64 x 3) 3) (pow.f64 x 3)) (fma.f64 x x (fma.f64 (pow.f64 x 6) 1/36 (*.f64 1/6 (pow.f64 x 4)))))
(/.f64 1 (/.f64 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x) (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x x))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x x)) (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x)))
(/.f64 (fma.f64 (pow.f64 x 6) -1/36 (*.f64 x x)) (fma.f64 (pow.f64 x 3) 1/6 x))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 x 6) -1/36)) (fma.f64 (pow.f64 x 3) 1/6 x))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3)) (+.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x (-.f64 x (*.f64 -1/6 (pow.f64 x 3))))))
(*.f64 (+.f64 (pow.f64 x 3) (*.f64 -1/216 (pow.f64 (pow.f64 x 3) 3))) (/.f64 1 (fma.f64 (pow.f64 x 6) 1/36 (*.f64 x (+.f64 x (*.f64 1/6 (pow.f64 x 3)))))))
(/.f64 (fma.f64 -1/216 (pow.f64 (pow.f64 x 3) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (*.f64 (pow.f64 x 3) 1/6)) (*.f64 (pow.f64 x 6) 1/36)))
(/.f64 (fma.f64 -1/216 (pow.f64 (pow.f64 x 3) 3) (pow.f64 x 3)) (fma.f64 x x (fma.f64 (pow.f64 x 6) 1/36 (*.f64 1/6 (pow.f64 x 4)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x (*.f64 -1/6 (pow.f64 x 3))))))
(*.f64 (+.f64 (pow.f64 x 3) (*.f64 -1/216 (pow.f64 (pow.f64 x 3) 3))) (/.f64 1 (fma.f64 (pow.f64 x 6) 1/36 (*.f64 x (+.f64 x (*.f64 1/6 (pow.f64 x 3)))))))
(/.f64 (fma.f64 -1/216 (pow.f64 (pow.f64 x 3) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (*.f64 (pow.f64 x 3) 1/6)) (*.f64 (pow.f64 x 6) 1/36)))
(/.f64 (fma.f64 -1/216 (pow.f64 (pow.f64 x 3) 3) (pow.f64 x 3)) (fma.f64 x x (fma.f64 (pow.f64 x 6) 1/36 (*.f64 1/6 (pow.f64 x 4)))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x x)) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x))
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x x)) (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x)))
(/.f64 (fma.f64 (pow.f64 x 6) -1/36 (*.f64 x x)) (fma.f64 (pow.f64 x 3) 1/6 x))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 x 6) -1/36)) (fma.f64 (pow.f64 x 3) 1/6 x))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3))) (neg.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x (-.f64 x (*.f64 -1/6 (pow.f64 x 3)))))))
(*.f64 (+.f64 (pow.f64 x 3) (*.f64 -1/216 (pow.f64 (pow.f64 x 3) 3))) (/.f64 1 (fma.f64 (pow.f64 x 6) 1/36 (*.f64 x (+.f64 x (*.f64 1/6 (pow.f64 x 3)))))))
(/.f64 (fma.f64 -1/216 (pow.f64 (pow.f64 x 3) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (*.f64 (pow.f64 x 3) 1/6)) (*.f64 (pow.f64 x 6) 1/36)))
(/.f64 (fma.f64 -1/216 (pow.f64 (pow.f64 x 3) 3) (pow.f64 x 3)) (fma.f64 x x (fma.f64 (pow.f64 x 6) 1/36 (*.f64 1/6 (pow.f64 x 4)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x)))
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x x)) (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x)))
(/.f64 (fma.f64 (pow.f64 x 6) -1/36 (*.f64 x x)) (fma.f64 (pow.f64 x 3) 1/6 x))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 x 6) -1/36)) (fma.f64 (pow.f64 x 3) 1/6 x))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 x 6) 1/36)) (-.f64 x (*.f64 -1/6 (pow.f64 x 3))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x x)) (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x)))
(/.f64 (fma.f64 (pow.f64 x 6) -1/36 (*.f64 x x)) (fma.f64 (pow.f64 x 3) 1/6 x))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 x 6) -1/36)) (fma.f64 (pow.f64 x 3) 1/6 x))
(pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1)
(+.f64 1 (-.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1))
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 0)
(fma.f64 -1/6 (pow.f64 x 3) x)
(pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 3)
(+.f64 1 (-.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1))
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 0)
(fma.f64 -1/6 (pow.f64 x 3) x)
(pow.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 3) 1/3)
(+.f64 1 (-.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1))
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 0)
(fma.f64 -1/6 (pow.f64 x 3) x)
(pow.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 2)
(+.f64 1 (-.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1))
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 0)
(fma.f64 -1/6 (pow.f64 x 3) x)
(sqrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2))
(+.f64 1 (-.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1))
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 0)
(fma.f64 -1/6 (pow.f64 x 3) x)
(log.f64 (exp.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(+.f64 1 (-.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1))
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 0)
(fma.f64 -1/6 (pow.f64 x 3) x)
(cbrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 3))
(+.f64 1 (-.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1))
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 0)
(fma.f64 -1/6 (pow.f64 x 3) x)
(expm1.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(+.f64 1 (-.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1))
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 0)
(fma.f64 -1/6 (pow.f64 x 3) x)
(exp.f64 (log.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(+.f64 1 (-.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1))
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 0)
(fma.f64 -1/6 (pow.f64 x 3) x)
(log1p.f64 (expm1.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(+.f64 1 (-.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1))
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 0)
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 1 (-.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1))
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 0)
(fma.f64 (pow.f64 x 3) -1/6 x)
(+.f64 1 (-.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1))
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 0)
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 1 x (*.f64 -1/6 (pow.f64 x 3)))
(+.f64 1 (-.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1))
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 0)
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 1 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 1 (-.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1))
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 0)
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 (pow.f64 (*.f64 x (cbrt.f64 -1/6)) 2) (*.f64 x (cbrt.f64 -1/6)) x)
(+.f64 1 (-.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1))
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 0)
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 -1/6 (pow.f64 x 3)))
(+.f64 1 (-.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1))
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 0)
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 (*.f64 (sqrt.f64 -1/6) (pow.f64 x 3/2)) (*.f64 (sqrt.f64 -1/6) (pow.f64 x 3/2)) x)
(+.f64 1 (-.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1))
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 0)
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 -1/6 (pow.f64 x 3)))
(+.f64 1 (-.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1))
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 0)
(fma.f64 -1/6 (pow.f64 x 3) x)

localize83.0ms (0.9%)

Compiler

Compiled 36 to 28 computations (22.2% saved)

eval179.0ms (1.9%)

Compiler

Compiled 5221 to 4020 computations (23% saved)

prune38.0ms (0.4%)

Pruning

9 alts after pruning (3 fresh and 6 done)

PrunedKeptTotal
New2870287
Fresh033
Picked011
Done055
Total2879296
Accurracy
100.0%
Counts
296 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.6%
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x)))
52.1%
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x))
51.6%
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
25.2%
(log.f64 (/.f64 -1/2 x))
29.6%
(log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))
24.9%
(log.f64 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))))
29.2%
(log.f64 (+.f64 x (hypot.f64 1 x)))
24.0%
(log.f64 (+.f64 x x))
53.5%
x
Compiler

Compiled 81 to 62 computations (23.5% saved)

localize180.0ms (1.9%)

Local Accuracy

Found 3 expressions with local accuracy:

NewAccuracyProgram
99.9%
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
78.0%
(-.f64 x (hypot.f64 1 x))
52.8%
(log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))
Compiler

Compiled 28 to 20 computations (28.6% saved)

series2.0ms (0%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@0
(log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))
0.0ms
x
@inf
(log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))
0.0ms
x
@-inf
(log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))
0.0ms
x
@inf
(-.f64 x (hypot.f64 1 x))
0.0ms
x
@-inf
(-.f64 x (hypot.f64 1 x))

rewrite102.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
1208×unpow-prod-down
868×log-prod
752×prod-diff
522×pow-prod-down
446×pow-prod-up
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01055
120455
2250955
Stop Event
node limit
Counts
3 → 240
Calls
Call 1
Inputs
(log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))
(-.f64 x (hypot.f64 1 x))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
Outputs
(+.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))) 0)
(+.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 (-.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (-.f64 x (hypot.f64 1 x)))) (log.f64 (-.f64 x (hypot.f64 1 x)))))
(+.f64 0 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 -1) (neg.f64 (log.f64 (-.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (cbrt.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))) (log.f64 (cbrt.f64 (pow.f64 (-.f64 x (hypot.f64 1 x)) -2))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (-.f64 x (hypot.f64 1 x)) -2))) (log.f64 (cbrt.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))))
(+.f64 (log.f64 (pow.f64 (neg.f64 (-.f64 x (hypot.f64 1 x))) -1/2)) (log.f64 (pow.f64 (neg.f64 (-.f64 x (hypot.f64 1 x))) -1/2)))
(+.f64 (neg.f64 (log.f64 (-.f64 x (hypot.f64 1 x)))) (log.f64 -1))
(+.f64 (fma.f64 1 (log.f64 -1) (neg.f64 (*.f64 (log.f64 (-.f64 x (hypot.f64 1 x))) 1))) (fma.f64 (neg.f64 (log.f64 (-.f64 x (hypot.f64 1 x)))) 1 (*.f64 (log.f64 (-.f64 x (hypot.f64 1 x))) 1)))
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(fma.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x x)) (neg.f64 (hypot.f64 1 x)))
(fma.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x x)) (*.f64 (neg.f64 (hypot.f64 1 x)) 1))
(fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (neg.f64 (hypot.f64 1 x)))
(fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (*.f64 (neg.f64 (hypot.f64 1 x)) 1))
(fma.f64 (cbrt.f64 (fma.f64 x x 1)) (neg.f64 (cbrt.f64 (hypot.f64 1 x))) x)
(fma.f64 (sqrt.f64 (-.f64 x (hypot.f64 1 x))) (sqrt.f64 (-.f64 x (hypot.f64 1 x))) (fma.f64 (neg.f64 (hypot.f64 1 x)) 1 (hypot.f64 1 x)))
(fma.f64 (sqrt.f64 (-.f64 x (hypot.f64 1 x))) (sqrt.f64 (-.f64 x (hypot.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (hypot.f64 1 x))) (cbrt.f64 (fma.f64 x x 1)) (hypot.f64 1 x)))
(fma.f64 (sqrt.f64 (-.f64 x (hypot.f64 1 x))) (sqrt.f64 (-.f64 x (hypot.f64 1 x))) (+.f64 (neg.f64 (hypot.f64 1 x)) (hypot.f64 1 x)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (hypot.f64 1 x)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (neg.f64 (hypot.f64 1 x)) 1))
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (neg.f64 (sqrt.f64 (hypot.f64 1 x))) x)
(fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (fma.f64 x x (fma.f64 x (hypot.f64 1 x) (fma.f64 x x 1)))) (fma.f64 (neg.f64 (hypot.f64 1 x)) 1 (hypot.f64 1 x)))
(fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (fma.f64 x x (fma.f64 x (hypot.f64 1 x) (fma.f64 x x 1)))) (fma.f64 (neg.f64 (cbrt.f64 (hypot.f64 1 x))) (cbrt.f64 (fma.f64 x x 1)) (hypot.f64 1 x)))
(fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (fma.f64 x x (fma.f64 x (hypot.f64 1 x) (fma.f64 x x 1)))) (+.f64 (neg.f64 (hypot.f64 1 x)) (hypot.f64 1 x)))
(fma.f64 (-.f64 (*.f64 x x) (fma.f64 x x 1)) (/.f64 1 (+.f64 x (hypot.f64 1 x))) (fma.f64 (neg.f64 (hypot.f64 1 x)) 1 (hypot.f64 1 x)))
(fma.f64 (-.f64 (*.f64 x x) (fma.f64 x x 1)) (/.f64 1 (+.f64 x (hypot.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (hypot.f64 1 x))) (cbrt.f64 (fma.f64 x x 1)) (hypot.f64 1 x)))
(fma.f64 (-.f64 (*.f64 x x) (fma.f64 x x 1)) (/.f64 1 (+.f64 x (hypot.f64 1 x))) (+.f64 (neg.f64 (hypot.f64 1 x)) (hypot.f64 1 x)))
(fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (hypot.f64 1 x))) 2) (cbrt.f64 (neg.f64 (hypot.f64 1 x))) x)
(fma.f64 (sqrt.f64 (neg.f64 (hypot.f64 1 x))) (sqrt.f64 (neg.f64 (hypot.f64 1 x))) x)
(fma.f64 (neg.f64 (sqrt.f64 (hypot.f64 1 x))) (sqrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (hypot.f64 1 x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (hypot.f64 1 x))) (fma.f64 (neg.f64 (hypot.f64 1 x)) 1 (hypot.f64 1 x)))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (hypot.f64 1 x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (hypot.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (hypot.f64 1 x))) (cbrt.f64 (fma.f64 x x 1)) (hypot.f64 1 x)))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (hypot.f64 1 x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (hypot.f64 1 x))) (+.f64 (neg.f64 (hypot.f64 1 x)) (hypot.f64 1 x)))
(fma.f64 (neg.f64 (cbrt.f64 (fma.f64 x x 1))) (cbrt.f64 (hypot.f64 1 x)) x)
(+.f64 0 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))) 1)
(*.f64 -1 (/.f64 1 (-.f64 x (hypot.f64 1 x))))
(*.f64 -1 (pow.f64 (cbrt.f64 (/.f64 1 (-.f64 x (hypot.f64 1 x)))) 3))
(*.f64 1 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))
(*.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))) 1)
(*.f64 (cbrt.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))) (cbrt.f64 (pow.f64 (-.f64 x (hypot.f64 1 x)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 x (hypot.f64 1 x)) -2)) (cbrt.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))))
(*.f64 (pow.f64 (neg.f64 (-.f64 x (hypot.f64 1 x))) -1/2) (pow.f64 (neg.f64 (-.f64 x (hypot.f64 1 x))) -1/2))
(*.f64 (/.f64 1 (-.f64 x (hypot.f64 1 x))) -1)
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x (hypot.f64 1 x))) -2) (pow.f64 (neg.f64 (cbrt.f64 (-.f64 x (hypot.f64 1 x)))) -1))
(*.f64 (pow.f64 (-.f64 x (hypot.f64 1 x)) -1/2) (pow.f64 (neg.f64 (sqrt.f64 (-.f64 x (hypot.f64 1 x)))) -1))
(*.f64 (/.f64 -1 (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (fma.f64 x x (fma.f64 x (hypot.f64 1 x) (fma.f64 x x 1))))
(*.f64 (/.f64 -1 (-.f64 (*.f64 x x) (fma.f64 x x 1))) (+.f64 x (hypot.f64 1 x)))
(*.f64 (pow.f64 (E.f64) (log.f64 -1)) (pow.f64 (E.f64) (neg.f64 (log.f64 (-.f64 x (hypot.f64 1 x))))))
(*.f64 (pow.f64 (E.f64) (log.f64 (cbrt.f64 (pow.f64 (-.f64 x (hypot.f64 1 x)) -2)))) (pow.f64 (E.f64) (log.f64 (cbrt.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))))))
(*.f64 (pow.f64 (E.f64) (log.f64 (pow.f64 (neg.f64 (-.f64 x (hypot.f64 1 x))) -1/2))) (pow.f64 (E.f64) (log.f64 (pow.f64 (neg.f64 (-.f64 x (hypot.f64 1 x))) -1/2))))
(*.f64 (pow.f64 1 1/3) (/.f64 -1 (-.f64 x (hypot.f64 1 x))))
(*.f64 (pow.f64 (/.f64 -1 (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) 1) (fma.f64 x x (fma.f64 x (hypot.f64 1 x) (fma.f64 x x 1))))
(*.f64 (pow.f64 (/.f64 -1 (-.f64 (*.f64 x x) (fma.f64 x x 1))) 1) (+.f64 x (hypot.f64 1 x)))
(*.f64 (pow.f64 1 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))) (/.f64 -1 (-.f64 x (hypot.f64 1 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (E.f64)) 2) (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))) (pow.f64 (cbrt.f64 (E.f64)) (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))))
(*.f64 (pow.f64 (sqrt.f64 (E.f64)) (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))) (pow.f64 (sqrt.f64 (E.f64)) (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))) 2) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))) 3))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 x (hypot.f64 1 x)) -2))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))) 3))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (neg.f64 (-.f64 x (hypot.f64 1 x))) -1/2)) 3) (pow.f64 (cbrt.f64 (pow.f64 (neg.f64 (-.f64 x (hypot.f64 1 x))) -1/2)) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (neg.f64 (-.f64 x (hypot.f64 1 x))) -3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (neg.f64 (-.f64 x (hypot.f64 1 x))) -3)) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 x (hypot.f64 1 x)) -2) -1) 1/3) (cbrt.f64 (/.f64 1 (-.f64 x (hypot.f64 1 x)))))
(*.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 x (hypot.f64 1 x)) -2) (cbrt.f64 (pow.f64 (-.f64 x (hypot.f64 1 x)) -2))) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))))
(*.f64 (pow.f64 (pow.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))) 5/2) 1/3) (cbrt.f64 (pow.f64 (neg.f64 (-.f64 x (hypot.f64 1 x))) -1/2)))
(*.f64 (pow.f64 (sqrt.f64 -1) 2) (/.f64 1 (-.f64 x (hypot.f64 1 x))))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (-.f64 x (hypot.f64 1 x)))) -1) (pow.f64 (-.f64 x (hypot.f64 1 x)) -1/2))
(*.f64 (pow.f64 (neg.f64 (cbrt.f64 (pow.f64 (-.f64 x (hypot.f64 1 x)) 2))) -1) (pow.f64 (cbrt.f64 (-.f64 x (hypot.f64 1 x))) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (neg.f64 (-.f64 x (hypot.f64 1 x)))) 2) -1) (cbrt.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))))
(pow.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))) 1)
(pow.f64 (E.f64) (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))))
(pow.f64 (cbrt.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))) 3)
(pow.f64 (pow.f64 (-.f64 x (hypot.f64 1 x)) -2) 1/2)
(pow.f64 (pow.f64 (neg.f64 (-.f64 x (hypot.f64 1 x))) -3) 1/3)
(pow.f64 (pow.f64 (neg.f64 (-.f64 x (hypot.f64 1 x))) -1/2) 2)
(pow.f64 (neg.f64 (-.f64 x (hypot.f64 1 x))) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))) 2)) (cbrt.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))) 2)) (*.f64 (cbrt.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))) 1))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))))) (*.f64 (sqrt.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))) 1))
(pow.f64 (pow.f64 (E.f64) (cbrt.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))) 2))
(pow.f64 (pow.f64 (E.f64) (pow.f64 (cbrt.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))) 2)) (cbrt.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (E.f64) (sqrt.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))) 2)) 1) (cbrt.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))) 2))) (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))))) (cbrt.f64 (sqrt.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))) 2)) (sqrt.f64 (cbrt.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))))) (sqrt.f64 (cbrt.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))))) 1) (sqrt.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))))) (cbrt.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))))) (cbrt.f64 (sqrt.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))) 2))) (sqrt.f64 (cbrt.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (sqrt.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))))) (sqrt.f64 (sqrt.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))))))
(neg.f64 (/.f64 1 (-.f64 x (hypot.f64 1 x))))
(sqrt.f64 (pow.f64 (-.f64 x (hypot.f64 1 x)) -2))
(log.f64 (exp.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))))
(log.f64 (/.f64 1 (exp.f64 (/.f64 1 (-.f64 x (hypot.f64 1 x))))))
(cbrt.f64 (pow.f64 (neg.f64 (-.f64 x (hypot.f64 1 x))) -3))
(expm1.f64 (log1p.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))))
(exp.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (neg.f64 (-.f64 x (hypot.f64 1 x))) -3)) 1/3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (neg.f64 (-.f64 x (hypot.f64 1 x))) -1/2)) 2))
(exp.f64 (*.f64 (log.f64 (neg.f64 (-.f64 x (hypot.f64 1 x)))) -1))
(log1p.f64 (expm1.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))))

simplify136.0ms (1.4%)

Algorithm
egg-herbie
Rules
970×fma-neg
818×log-prod
712×exp-prod
502×sqr-pow
440×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
063210286
115689862
249029308
Stop Event
node limit
Counts
276 → 385
Calls
Call 1
Inputs
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
-1
(-.f64 x 1)
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) x) 1)
(-.f64 (+.f64 (*.f64 1/8 (pow.f64 x 4)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)) 1)
(/.f64 -1/2 x)
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 5/128 (/.f64 1 (pow.f64 x 7)))) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))
(*.f64 2 x)
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 2 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 2 x) (*.f64 1/16 (/.f64 1 (pow.f64 x 5))))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
1
(+.f64 1 x)
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) x)))
(*.f64 2 x)
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 2 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 2 x) (*.f64 1/16 (/.f64 1 (pow.f64 x 5))))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(/.f64 -1/2 x)
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))
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(fma.f64 (cbrt.f64 (-.f64 x (hypot.f64 1 x))) (cbrt.f64 (pow.f64 (-.f64 x (hypot.f64 1 x)) 2)) (fma.f64 (neg.f64 (hypot.f64 1 x)) 1 (hypot.f64 1 x)))
(fma.f64 (cbrt.f64 (-.f64 x (hypot.f64 1 x))) (cbrt.f64 (pow.f64 (-.f64 x (hypot.f64 1 x)) 2)) (fma.f64 (neg.f64 (cbrt.f64 (hypot.f64 1 x))) (cbrt.f64 (fma.f64 x x 1)) (hypot.f64 1 x)))
(fma.f64 (cbrt.f64 (-.f64 x (hypot.f64 1 x))) (cbrt.f64 (pow.f64 (-.f64 x (hypot.f64 1 x)) 2)) (+.f64 (neg.f64 (hypot.f64 1 x)) (hypot.f64 1 x)))
(fma.f64 (cbrt.f64 (pow.f64 (-.f64 x (hypot.f64 1 x)) 2)) (cbrt.f64 (-.f64 x (hypot.f64 1 x))) (fma.f64 (neg.f64 (hypot.f64 1 x)) 1 (hypot.f64 1 x)))
(fma.f64 (cbrt.f64 (pow.f64 (-.f64 x (hypot.f64 1 x)) 2)) (cbrt.f64 (-.f64 x (hypot.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (hypot.f64 1 x))) (cbrt.f64 (fma.f64 x x 1)) (hypot.f64 1 x)))
(fma.f64 (cbrt.f64 (pow.f64 (-.f64 x (hypot.f64 1 x)) 2)) (cbrt.f64 (-.f64 x (hypot.f64 1 x))) (+.f64 (neg.f64 (hypot.f64 1 x)) (hypot.f64 1 x)))
(fma.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x x)) (neg.f64 (hypot.f64 1 x)))
(fma.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x x)) (*.f64 (neg.f64 (hypot.f64 1 x)) 1))
(fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (neg.f64 (hypot.f64 1 x)))
(fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (*.f64 (neg.f64 (hypot.f64 1 x)) 1))
(fma.f64 (cbrt.f64 (fma.f64 x x 1)) (neg.f64 (cbrt.f64 (hypot.f64 1 x))) x)
(fma.f64 (sqrt.f64 (-.f64 x (hypot.f64 1 x))) (sqrt.f64 (-.f64 x (hypot.f64 1 x))) (fma.f64 (neg.f64 (hypot.f64 1 x)) 1 (hypot.f64 1 x)))
(fma.f64 (sqrt.f64 (-.f64 x (hypot.f64 1 x))) (sqrt.f64 (-.f64 x (hypot.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (hypot.f64 1 x))) (cbrt.f64 (fma.f64 x x 1)) (hypot.f64 1 x)))
(fma.f64 (sqrt.f64 (-.f64 x (hypot.f64 1 x))) (sqrt.f64 (-.f64 x (hypot.f64 1 x))) (+.f64 (neg.f64 (hypot.f64 1 x)) (hypot.f64 1 x)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (hypot.f64 1 x)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (neg.f64 (hypot.f64 1 x)) 1))
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (neg.f64 (sqrt.f64 (hypot.f64 1 x))) x)
(fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (fma.f64 x x (fma.f64 x (hypot.f64 1 x) (fma.f64 x x 1)))) (fma.f64 (neg.f64 (hypot.f64 1 x)) 1 (hypot.f64 1 x)))
(fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (fma.f64 x x (fma.f64 x (hypot.f64 1 x) (fma.f64 x x 1)))) (fma.f64 (neg.f64 (cbrt.f64 (hypot.f64 1 x))) (cbrt.f64 (fma.f64 x x 1)) (hypot.f64 1 x)))
(fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (fma.f64 x x (fma.f64 x (hypot.f64 1 x) (fma.f64 x x 1)))) (+.f64 (neg.f64 (hypot.f64 1 x)) (hypot.f64 1 x)))
(fma.f64 (-.f64 (*.f64 x x) (fma.f64 x x 1)) (/.f64 1 (+.f64 x (hypot.f64 1 x))) (fma.f64 (neg.f64 (hypot.f64 1 x)) 1 (hypot.f64 1 x)))
(fma.f64 (-.f64 (*.f64 x x) (fma.f64 x x 1)) (/.f64 1 (+.f64 x (hypot.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (hypot.f64 1 x))) (cbrt.f64 (fma.f64 x x 1)) (hypot.f64 1 x)))
(fma.f64 (-.f64 (*.f64 x x) (fma.f64 x x 1)) (/.f64 1 (+.f64 x (hypot.f64 1 x))) (+.f64 (neg.f64 (hypot.f64 1 x)) (hypot.f64 1 x)))
(fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (hypot.f64 1 x))) 2) (cbrt.f64 (neg.f64 (hypot.f64 1 x))) x)
(fma.f64 (sqrt.f64 (neg.f64 (hypot.f64 1 x))) (sqrt.f64 (neg.f64 (hypot.f64 1 x))) x)
(fma.f64 (neg.f64 (sqrt.f64 (hypot.f64 1 x))) (sqrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (hypot.f64 1 x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (hypot.f64 1 x))) (fma.f64 (neg.f64 (hypot.f64 1 x)) 1 (hypot.f64 1 x)))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (hypot.f64 1 x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (hypot.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (hypot.f64 1 x))) (cbrt.f64 (fma.f64 x x 1)) (hypot.f64 1 x)))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (hypot.f64 1 x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (hypot.f64 1 x))) (+.f64 (neg.f64 (hypot.f64 1 x)) (hypot.f64 1 x)))
(fma.f64 (neg.f64 (cbrt.f64 (fma.f64 x x 1))) (cbrt.f64 (hypot.f64 1 x)) x)
(+.f64 0 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))) 1)
(*.f64 -1 (/.f64 1 (-.f64 x (hypot.f64 1 x))))
(*.f64 -1 (pow.f64 (cbrt.f64 (/.f64 1 (-.f64 x (hypot.f64 1 x)))) 3))
(*.f64 1 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))
(*.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))) 1)
(*.f64 (cbrt.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))) (cbrt.f64 (pow.f64 (-.f64 x (hypot.f64 1 x)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 x (hypot.f64 1 x)) -2)) (cbrt.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))))
(*.f64 (pow.f64 (neg.f64 (-.f64 x (hypot.f64 1 x))) -1/2) (pow.f64 (neg.f64 (-.f64 x (hypot.f64 1 x))) -1/2))
(*.f64 (/.f64 1 (-.f64 x (hypot.f64 1 x))) -1)
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x (hypot.f64 1 x))) -2) (pow.f64 (neg.f64 (cbrt.f64 (-.f64 x (hypot.f64 1 x)))) -1))
(*.f64 (pow.f64 (-.f64 x (hypot.f64 1 x)) -1/2) (pow.f64 (neg.f64 (sqrt.f64 (-.f64 x (hypot.f64 1 x)))) -1))
(*.f64 (/.f64 -1 (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (fma.f64 x x (fma.f64 x (hypot.f64 1 x) (fma.f64 x x 1))))
(*.f64 (/.f64 -1 (-.f64 (*.f64 x x) (fma.f64 x x 1))) (+.f64 x (hypot.f64 1 x)))
(*.f64 (pow.f64 (E.f64) (log.f64 -1)) (pow.f64 (E.f64) (neg.f64 (log.f64 (-.f64 x (hypot.f64 1 x))))))
(*.f64 (pow.f64 (E.f64) (log.f64 (cbrt.f64 (pow.f64 (-.f64 x (hypot.f64 1 x)) -2)))) (pow.f64 (E.f64) (log.f64 (cbrt.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))))))
(*.f64 (pow.f64 (E.f64) (log.f64 (pow.f64 (neg.f64 (-.f64 x (hypot.f64 1 x))) -1/2))) (pow.f64 (E.f64) (log.f64 (pow.f64 (neg.f64 (-.f64 x (hypot.f64 1 x))) -1/2))))
(*.f64 (pow.f64 1 1/3) (/.f64 -1 (-.f64 x (hypot.f64 1 x))))
(*.f64 (pow.f64 (/.f64 -1 (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) 1) (fma.f64 x x (fma.f64 x (hypot.f64 1 x) (fma.f64 x x 1))))
(*.f64 (pow.f64 (/.f64 -1 (-.f64 (*.f64 x x) (fma.f64 x x 1))) 1) (+.f64 x (hypot.f64 1 x)))
(*.f64 (pow.f64 1 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))) (/.f64 -1 (-.f64 x (hypot.f64 1 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (E.f64)) 2) (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))) (pow.f64 (cbrt.f64 (E.f64)) (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))))
(*.f64 (pow.f64 (sqrt.f64 (E.f64)) (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))) (pow.f64 (sqrt.f64 (E.f64)) (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))) 2) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))) 3))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 x (hypot.f64 1 x)) -2))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))) 3))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (neg.f64 (-.f64 x (hypot.f64 1 x))) -1/2)) 3) (pow.f64 (cbrt.f64 (pow.f64 (neg.f64 (-.f64 x (hypot.f64 1 x))) -1/2)) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (neg.f64 (-.f64 x (hypot.f64 1 x))) -3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (neg.f64 (-.f64 x (hypot.f64 1 x))) -3)) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 x (hypot.f64 1 x)) -2) -1) 1/3) (cbrt.f64 (/.f64 1 (-.f64 x (hypot.f64 1 x)))))
(*.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 x (hypot.f64 1 x)) -2) (cbrt.f64 (pow.f64 (-.f64 x (hypot.f64 1 x)) -2))) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))))
(*.f64 (pow.f64 (pow.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))) 5/2) 1/3) (cbrt.f64 (pow.f64 (neg.f64 (-.f64 x (hypot.f64 1 x))) -1/2)))
(*.f64 (pow.f64 (sqrt.f64 -1) 2) (/.f64 1 (-.f64 x (hypot.f64 1 x))))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (-.f64 x (hypot.f64 1 x)))) -1) (pow.f64 (-.f64 x (hypot.f64 1 x)) -1/2))
(*.f64 (pow.f64 (neg.f64 (cbrt.f64 (pow.f64 (-.f64 x (hypot.f64 1 x)) 2))) -1) (pow.f64 (cbrt.f64 (-.f64 x (hypot.f64 1 x))) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (neg.f64 (-.f64 x (hypot.f64 1 x)))) 2) -1) (cbrt.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))))
(pow.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))) 1)
(pow.f64 (E.f64) (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))))
(pow.f64 (cbrt.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))) 3)
(pow.f64 (pow.f64 (-.f64 x (hypot.f64 1 x)) -2) 1/2)
(pow.f64 (pow.f64 (neg.f64 (-.f64 x (hypot.f64 1 x))) -3) 1/3)
(pow.f64 (pow.f64 (neg.f64 (-.f64 x (hypot.f64 1 x))) -1/2) 2)
(pow.f64 (neg.f64 (-.f64 x (hypot.f64 1 x))) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))) 2)) (cbrt.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))) 2)) (*.f64 (cbrt.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))) 1))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))))) (*.f64 (sqrt.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))) 1))
(pow.f64 (pow.f64 (E.f64) (cbrt.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))) 2))
(pow.f64 (pow.f64 (E.f64) (pow.f64 (cbrt.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))) 2)) (cbrt.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (E.f64) (sqrt.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))) 2)) 1) (cbrt.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))) 2))) (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))))) (cbrt.f64 (sqrt.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))) 2)) (sqrt.f64 (cbrt.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))))) (sqrt.f64 (cbrt.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))))) 1) (sqrt.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))))) (cbrt.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))))) (cbrt.f64 (sqrt.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))) 2))) (sqrt.f64 (cbrt.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (sqrt.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))))) (sqrt.f64 (sqrt.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))))))
(neg.f64 (/.f64 1 (-.f64 x (hypot.f64 1 x))))
(sqrt.f64 (pow.f64 (-.f64 x (hypot.f64 1 x)) -2))
(log.f64 (exp.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))))
(log.f64 (/.f64 1 (exp.f64 (/.f64 1 (-.f64 x (hypot.f64 1 x))))))
(cbrt.f64 (pow.f64 (neg.f64 (-.f64 x (hypot.f64 1 x))) -3))
(expm1.f64 (log1p.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))))
(exp.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (neg.f64 (-.f64 x (hypot.f64 1 x))) -3)) 1/3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (neg.f64 (-.f64 x (hypot.f64 1 x))) -1/2)) 2))
(exp.f64 (*.f64 (log.f64 (neg.f64 (-.f64 x (hypot.f64 1 x)))) -1))
(log1p.f64 (expm1.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))))
Outputs
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x)))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x))))
(+.f64 (log.f64 2) (+.f64 (log.f64 x) (/.f64 1/4 (*.f64 x x))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x)))) (/.f64 3/32 (pow.f64 x 4)))
(+.f64 (log.f64 x) (+.f64 (+.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x))) (/.f64 -3/32 (pow.f64 x 4))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6))))) (/.f64 3/32 (pow.f64 x 4)))
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(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))) (cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))) (sqrt.f64 (cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (sqrt.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))))) (sqrt.f64 (sqrt.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))) (sqrt.f64 (sqrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))) (sqrt.f64 (sqrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))))
(neg.f64 (/.f64 1 (-.f64 x (hypot.f64 1 x))))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(sqrt.f64 (pow.f64 (-.f64 x (hypot.f64 1 x)) -2))
(/.f64 -1 (-.f64 (hypot.f64 1 x) x))
(log.f64 (exp.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(log.f64 (/.f64 1 (exp.f64 (/.f64 1 (-.f64 x (hypot.f64 1 x))))))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(cbrt.f64 (pow.f64 (neg.f64 (-.f64 x (hypot.f64 1 x))) -3))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(expm1.f64 (log1p.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(exp.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))) 3))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (neg.f64 (-.f64 x (hypot.f64 1 x))) -3)) 1/3))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (neg.f64 (-.f64 x (hypot.f64 1 x))) -1/2)) 2))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(exp.f64 (*.f64 (log.f64 (neg.f64 (-.f64 x (hypot.f64 1 x)))) -1))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(log1p.f64 (expm1.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))

localize149.0ms (1.6%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
99.9%
(*.f64 -5/112 (pow.f64 x 7))
99.9%
(*.f64 3/40 (pow.f64 x 5))
99.8%
(*.f64 -1/6 (pow.f64 x 3))
64.4%
(+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x))
Compiler

Compiled 72 to 56 computations (22.2% saved)

series3.0ms (0%)

Counts
2 → 6
Calls

6 calls:

TimeVariablePointExpression
2.0ms
x
@0
(*.f64 -5/112 (pow.f64 x 7))
0.0ms
x
@inf
(+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x))
0.0ms
x
@-inf
(*.f64 -5/112 (pow.f64 x 7))
0.0ms
x
@inf
(*.f64 -5/112 (pow.f64 x 7))
0.0ms
x
@0
(+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x))

rewrite85.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
1230×log-prod
1164×fma-def
640×pow-exp
592×pow-prod-up
514×expm1-udef
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01342
130042
2388942
Stop Event
node limit
Counts
2 → 109
Calls
Call 1
Inputs
(+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x))
(*.f64 -5/112 (pow.f64 x 7))
Outputs
(-.f64 (exp.f64 (log1p.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x)))) 1)
(-.f64 (/.f64 (*.f64 (pow.f64 x 10) 9/1600) (-.f64 (*.f64 3/40 (pow.f64 x 5)) (fma.f64 -5/112 (pow.f64 x 7) x))) (/.f64 (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 2) (-.f64 (*.f64 3/40 (pow.f64 x 5)) (fma.f64 -5/112 (pow.f64 x 7) x))))
(*.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x)) 1)
(*.f64 1 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x)))
(*.f64 (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))) (pow.f64 (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))) 2) (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))))
(*.f64 (sqrt.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))) (sqrt.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))))
(*.f64 (fma.f64 (pow.f64 x 15) 27/64000 (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 3)) (/.f64 1 (fma.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (-.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (*.f64 3/40 (pow.f64 x 5))) (*.f64 (pow.f64 x 10) 9/1600))))
(*.f64 (-.f64 (*.f64 (pow.f64 x 10) 9/1600) (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 2)) (/.f64 1 (-.f64 (*.f64 3/40 (pow.f64 x 5)) (fma.f64 -5/112 (pow.f64 x 7) x))))
(/.f64 1 (/.f64 (fma.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (-.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (*.f64 3/40 (pow.f64 x 5))) (*.f64 (pow.f64 x 10) 9/1600)) (fma.f64 (pow.f64 x 15) 27/64000 (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 3))))
(/.f64 1 (/.f64 (-.f64 (*.f64 3/40 (pow.f64 x 5)) (fma.f64 -5/112 (pow.f64 x 7) x)) (-.f64 (*.f64 (pow.f64 x 10) 9/1600) (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 2))))
(/.f64 (fma.f64 (pow.f64 x 15) 27/64000 (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 3)) (fma.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (-.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (*.f64 3/40 (pow.f64 x 5))) (*.f64 (pow.f64 x 10) 9/1600)))
(/.f64 (fma.f64 (pow.f64 x 15) 27/64000 (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 3)) (+.f64 (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 2) (-.f64 (*.f64 (pow.f64 x 10) 9/1600) (*.f64 3/40 (*.f64 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 10) 9/1600) (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 2)) (-.f64 (*.f64 3/40 (pow.f64 x 5)) (fma.f64 -5/112 (pow.f64 x 7) x)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 15) 27/64000 (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 3))) (neg.f64 (fma.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (-.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (*.f64 3/40 (pow.f64 x 5))) (*.f64 (pow.f64 x 10) 9/1600))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x 10) 9/1600) (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 2))) (neg.f64 (-.f64 (*.f64 3/40 (pow.f64 x 5)) (fma.f64 -5/112 (pow.f64 x 7) x))))
(/.f64 (+.f64 (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5))) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5))) 2) (-.f64 (*.f64 x x) (*.f64 (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5))) x))))
(/.f64 (-.f64 (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 2) (*.f64 (pow.f64 x 10) 9/1600)) (-.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (*.f64 3/40 (pow.f64 x 5))))
(/.f64 (-.f64 (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5))) 2) (*.f64 x x)) (-.f64 (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5))) x))
(pow.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x)) 1)
(pow.f64 (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))) 3)
(pow.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))) 2)
(pow.f64 (/.f64 (fma.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (-.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (*.f64 3/40 (pow.f64 x 5))) (*.f64 (pow.f64 x 10) 9/1600)) (fma.f64 (pow.f64 x 15) 27/64000 (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 3))) -1)
(pow.f64 (/.f64 (-.f64 (*.f64 3/40 (pow.f64 x 5)) (fma.f64 -5/112 (pow.f64 x 7) x)) (-.f64 (*.f64 (pow.f64 x 10) 9/1600) (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 2))) -1)
(sqrt.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x)) 2))
(log.f64 (exp.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x)))))
(log.f64 (*.f64 (exp.f64 x) (exp.f64 (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5))))))
(log.f64 (*.f64 (exp.f64 x) (pow.f64 (exp.f64 1) (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (pow.f64 (exp.f64 1) (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 (pow.f64 x 5)) 3/40) (+.f64 1 (expm1.f64 (fma.f64 -5/112 (pow.f64 x 7) x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 3/40 (pow.f64 x 5)))) (exp.f64 (fma.f64 -5/112 (pow.f64 x 7) x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 3/40 (pow.f64 x 5)))) (+.f64 1 (expm1.f64 (fma.f64 -5/112 (pow.f64 x 7) x)))))
(log.f64 (*.f64 (exp.f64 (fma.f64 -5/112 (pow.f64 x 7) x)) (+.f64 1 (expm1.f64 (*.f64 3/40 (pow.f64 x 5))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 -5/112 (pow.f64 x 7) x))) (pow.f64 (exp.f64 (pow.f64 x 5)) 3/40)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 -5/112 (pow.f64 x 7) x))) (+.f64 1 (expm1.f64 (*.f64 3/40 (pow.f64 x 5))))))
(log.f64 (*.f64 (exp.f64 (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5)))) (+.f64 1 (expm1.f64 x))))
(log.f64 (*.f64 (pow.f64 (exp.f64 1) (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5)))) (exp.f64 x)))
(log.f64 (*.f64 (pow.f64 (exp.f64 1) (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5)))) (+.f64 1 (expm1.f64 x))))
(cbrt.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))))
(exp.f64 (log.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))))
(exp.f64 (*.f64 (log.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x)))) 2))
(log1p.f64 (expm1.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))))
(fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))
(fma.f64 x 1 (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5))))
(fma.f64 (pow.f64 x 5) 3/40 (fma.f64 -5/112 (pow.f64 x 7) x))
(fma.f64 (*.f64 3/40 (pow.f64 x 5)) 1 (fma.f64 -5/112 (pow.f64 x 7) x))
(fma.f64 -5/112 (pow.f64 x 7) (+.f64 x (*.f64 3/40 (pow.f64 x 5))))
(fma.f64 (pow.f64 x 7) -5/112 (+.f64 x (*.f64 3/40 (pow.f64 x 5))))
(fma.f64 (*.f64 -5/112 (pow.f64 x 7)) 1 (+.f64 x (*.f64 3/40 (pow.f64 x 5))))
(fma.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 1 (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 1 x (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5))))
(fma.f64 1 (*.f64 3/40 (pow.f64 x 5)) (fma.f64 -5/112 (pow.f64 x 7) x))
(fma.f64 1 (*.f64 -5/112 (pow.f64 x 7)) (+.f64 x (*.f64 3/40 (pow.f64 x 5))))
(fma.f64 1 (fma.f64 -5/112 (pow.f64 x 7) x) (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 1 (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5))) x)
(fma.f64 (cbrt.f64 (*.f64 -5/112 (pow.f64 x 7))) (cbrt.f64 (*.f64 25/12544 (pow.f64 x 14))) (+.f64 x (*.f64 3/40 (pow.f64 x 5))))
(fma.f64 (cbrt.f64 (*.f64 25/12544 (pow.f64 x 14))) (cbrt.f64 (*.f64 -5/112 (pow.f64 x 7))) (+.f64 x (*.f64 3/40 (pow.f64 x 5))))
(fma.f64 (cbrt.f64 (fma.f64 -5/112 (pow.f64 x 7) x)) (pow.f64 (cbrt.f64 (fma.f64 -5/112 (pow.f64 x 7) x)) 2) (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -5/112 (pow.f64 x 7) x)) 2) (cbrt.f64 (fma.f64 -5/112 (pow.f64 x 7) x)) (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 (cbrt.f64 (pow.f64 x 10)) (*.f64 (cbrt.f64 (pow.f64 x 5)) 3/40) (fma.f64 -5/112 (pow.f64 x 7) x))
(fma.f64 (cbrt.f64 (pow.f64 x 14)) (*.f64 (cbrt.f64 (pow.f64 x 7)) -5/112) (+.f64 x (*.f64 3/40 (pow.f64 x 5))))
(fma.f64 (cbrt.f64 (*.f64 3/40 (pow.f64 x 5))) (cbrt.f64 (*.f64 (pow.f64 x 10) 9/1600)) (fma.f64 -5/112 (pow.f64 x 7) x))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 10) 9/1600)) (cbrt.f64 (*.f64 3/40 (pow.f64 x 5))) (fma.f64 -5/112 (pow.f64 x 7) x))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5))))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5))))
(fma.f64 (*.f64 (sqrt.f64 -5/112) (pow.f64 x 7/2)) (*.f64 (sqrt.f64 -5/112) (pow.f64 x 7/2)) (+.f64 x (*.f64 3/40 (pow.f64 x 5))))
(fma.f64 (sqrt.f64 (fma.f64 -5/112 (pow.f64 x 7) x)) (sqrt.f64 (fma.f64 -5/112 (pow.f64 x 7) x)) (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 (pow.f64 x 5/2) (*.f64 (pow.f64 x 5/2) 3/40) (fma.f64 -5/112 (pow.f64 x 7) x))
(fma.f64 (pow.f64 x 7/2) (*.f64 (pow.f64 x 7/2) -5/112) (+.f64 x (*.f64 3/40 (pow.f64 x 5))))
(fma.f64 (*.f64 (pow.f64 x 5/2) (sqrt.f64 3/40)) (*.f64 (pow.f64 x 5/2) (sqrt.f64 3/40)) (fma.f64 -5/112 (pow.f64 x 7) x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5))))
(fma.f64 (fma.f64 -125/1404928 (pow.f64 x 21) (pow.f64 x 3)) (/.f64 1 (-.f64 (fma.f64 25/12544 (pow.f64 x 14) (*.f64 x x)) (*.f64 -5/112 (pow.f64 x 8)))) (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 (-.f64 (*.f64 25/12544 (pow.f64 x 14)) (*.f64 x x)) (/.f64 1 (-.f64 (*.f64 -5/112 (pow.f64 x 7)) x)) (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5))) 1 x)
(fma.f64 (*.f64 (cbrt.f64 (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5)))) (cbrt.f64 (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5))))) (cbrt.f64 (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5)))) x)
(fma.f64 (sqrt.f64 (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5)))) (sqrt.f64 (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5)))) x)
(fma.f64 (*.f64 -5/112 (cbrt.f64 (pow.f64 x 14))) (cbrt.f64 (pow.f64 x 7)) (+.f64 x (*.f64 3/40 (pow.f64 x 5))))
(fma.f64 (*.f64 -5/112 (pow.f64 x 7/2)) (pow.f64 x 7/2) (+.f64 x (*.f64 3/40 (pow.f64 x 5))))
(fma.f64 (*.f64 3/40 (cbrt.f64 (pow.f64 x 10))) (cbrt.f64 (pow.f64 x 5)) (fma.f64 -5/112 (pow.f64 x 7) x))
(fma.f64 (*.f64 3/40 (pow.f64 x 5/2)) (pow.f64 x 5/2) (fma.f64 -5/112 (pow.f64 x 7) x))
(+.f64 0 (*.f64 -5/112 (pow.f64 x 7)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 -5/112) (pow.f64 x 7))) (cbrt.f64 (pow.f64 (exp.f64 -5/112) (pow.f64 x 7))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -5/112) (pow.f64 x 7)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -5/112) (pow.f64 x 7)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -5/112) (pow.f64 x 7)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -5/112 (pow.f64 x 7)))) 1)
(pow.f64 (*.f64 -5/112 (pow.f64 x 7)) 1)
(pow.f64 (cbrt.f64 (*.f64 -5/112 (pow.f64 x 7))) 3)
(pow.f64 (*.f64 -125/1404928 (pow.f64 x 21)) 1/3)
(pow.f64 (*.f64 (sqrt.f64 -5/112) (pow.f64 x 7/2)) 2)
(sqrt.f64 (*.f64 25/12544 (pow.f64 x 14)))
(log.f64 (pow.f64 (exp.f64 -5/112) (pow.f64 x 7)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -5/112 (pow.f64 x 7)))))
(cbrt.f64 (*.f64 -125/1404928 (pow.f64 x 21)))
(expm1.f64 (log1p.f64 (*.f64 -5/112 (pow.f64 x 7))))
(exp.f64 (fma.f64 7 (log.f64 x) (log.f64 -5/112)))
(exp.f64 (*.f64 (fma.f64 7 (log.f64 x) (log.f64 -5/112)) 1))
(exp.f64 (*.f64 (*.f64 (fma.f64 7 (log.f64 x) (log.f64 -5/112)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 -5/112 (pow.f64 x 7)))) 3))
(exp.f64 (*.f64 (log.f64 (*.f64 -125/1404928 (pow.f64 x 21))) 1/3))
(exp.f64 (*.f64 (*.f64 (fma.f64 7 (log.f64 x) (log.f64 -5/112)) 3) 1/3))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 -5/112) (pow.f64 x 7/2))) 2))
(log1p.f64 (expm1.f64 (*.f64 -5/112 (pow.f64 x 7))))

simplify135.0ms (1.4%)

Algorithm
egg-herbie
Rules
1590×fma-def
1302×fma-neg
816×distribute-lft-in
798×distribute-rgt-in
428×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02934277
17064217
218144091
373344091
Stop Event
node limit
Counts
115 → 134
Calls
Call 1
Inputs
x
(+.f64 (*.f64 3/40 (pow.f64 x 5)) x)
(*.f64 -5/112 (pow.f64 x 7))
(+.f64 (*.f64 3/40 (pow.f64 x 5)) (*.f64 -5/112 (pow.f64 x 7)))
(*.f64 -5/112 (pow.f64 x 7))
(+.f64 (*.f64 3/40 (pow.f64 x 5)) (*.f64 -5/112 (pow.f64 x 7)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x)))) 1)
(-.f64 (/.f64 (*.f64 (pow.f64 x 10) 9/1600) (-.f64 (*.f64 3/40 (pow.f64 x 5)) (fma.f64 -5/112 (pow.f64 x 7) x))) (/.f64 (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 2) (-.f64 (*.f64 3/40 (pow.f64 x 5)) (fma.f64 -5/112 (pow.f64 x 7) x))))
(*.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x)) 1)
(*.f64 1 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x)))
(*.f64 (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))) (pow.f64 (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))) 2) (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))))
(*.f64 (sqrt.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))) (sqrt.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))))
(*.f64 (fma.f64 (pow.f64 x 15) 27/64000 (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 3)) (/.f64 1 (fma.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (-.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (*.f64 3/40 (pow.f64 x 5))) (*.f64 (pow.f64 x 10) 9/1600))))
(*.f64 (-.f64 (*.f64 (pow.f64 x 10) 9/1600) (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 2)) (/.f64 1 (-.f64 (*.f64 3/40 (pow.f64 x 5)) (fma.f64 -5/112 (pow.f64 x 7) x))))
(/.f64 1 (/.f64 (fma.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (-.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (*.f64 3/40 (pow.f64 x 5))) (*.f64 (pow.f64 x 10) 9/1600)) (fma.f64 (pow.f64 x 15) 27/64000 (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 3))))
(/.f64 1 (/.f64 (-.f64 (*.f64 3/40 (pow.f64 x 5)) (fma.f64 -5/112 (pow.f64 x 7) x)) (-.f64 (*.f64 (pow.f64 x 10) 9/1600) (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 2))))
(/.f64 (fma.f64 (pow.f64 x 15) 27/64000 (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 3)) (fma.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (-.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (*.f64 3/40 (pow.f64 x 5))) (*.f64 (pow.f64 x 10) 9/1600)))
(/.f64 (fma.f64 (pow.f64 x 15) 27/64000 (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 3)) (+.f64 (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 2) (-.f64 (*.f64 (pow.f64 x 10) 9/1600) (*.f64 3/40 (*.f64 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 10) 9/1600) (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 2)) (-.f64 (*.f64 3/40 (pow.f64 x 5)) (fma.f64 -5/112 (pow.f64 x 7) x)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 15) 27/64000 (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 3))) (neg.f64 (fma.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (-.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (*.f64 3/40 (pow.f64 x 5))) (*.f64 (pow.f64 x 10) 9/1600))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x 10) 9/1600) (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 2))) (neg.f64 (-.f64 (*.f64 3/40 (pow.f64 x 5)) (fma.f64 -5/112 (pow.f64 x 7) x))))
(/.f64 (+.f64 (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5))) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5))) 2) (-.f64 (*.f64 x x) (*.f64 (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5))) x))))
(/.f64 (-.f64 (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 2) (*.f64 (pow.f64 x 10) 9/1600)) (-.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (*.f64 3/40 (pow.f64 x 5))))
(/.f64 (-.f64 (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5))) 2) (*.f64 x x)) (-.f64 (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5))) x))
(pow.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x)) 1)
(pow.f64 (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))) 3)
(pow.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))) 2)
(pow.f64 (/.f64 (fma.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (-.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (*.f64 3/40 (pow.f64 x 5))) (*.f64 (pow.f64 x 10) 9/1600)) (fma.f64 (pow.f64 x 15) 27/64000 (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 3))) -1)
(pow.f64 (/.f64 (-.f64 (*.f64 3/40 (pow.f64 x 5)) (fma.f64 -5/112 (pow.f64 x 7) x)) (-.f64 (*.f64 (pow.f64 x 10) 9/1600) (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 2))) -1)
(sqrt.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x)) 2))
(log.f64 (exp.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x)))))
(log.f64 (*.f64 (exp.f64 x) (exp.f64 (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5))))))
(log.f64 (*.f64 (exp.f64 x) (pow.f64 (exp.f64 1) (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (pow.f64 (exp.f64 1) (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 (pow.f64 x 5)) 3/40) (+.f64 1 (expm1.f64 (fma.f64 -5/112 (pow.f64 x 7) x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 3/40 (pow.f64 x 5)))) (exp.f64 (fma.f64 -5/112 (pow.f64 x 7) x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 3/40 (pow.f64 x 5)))) (+.f64 1 (expm1.f64 (fma.f64 -5/112 (pow.f64 x 7) x)))))
(log.f64 (*.f64 (exp.f64 (fma.f64 -5/112 (pow.f64 x 7) x)) (+.f64 1 (expm1.f64 (*.f64 3/40 (pow.f64 x 5))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 -5/112 (pow.f64 x 7) x))) (pow.f64 (exp.f64 (pow.f64 x 5)) 3/40)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 -5/112 (pow.f64 x 7) x))) (+.f64 1 (expm1.f64 (*.f64 3/40 (pow.f64 x 5))))))
(log.f64 (*.f64 (exp.f64 (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5)))) (+.f64 1 (expm1.f64 x))))
(log.f64 (*.f64 (pow.f64 (exp.f64 1) (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5)))) (exp.f64 x)))
(log.f64 (*.f64 (pow.f64 (exp.f64 1) (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5)))) (+.f64 1 (expm1.f64 x))))
(cbrt.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))))
(exp.f64 (log.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))))
(exp.f64 (*.f64 (log.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x)))) 2))
(log1p.f64 (expm1.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))))
(fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))
(fma.f64 x 1 (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5))))
(fma.f64 (pow.f64 x 5) 3/40 (fma.f64 -5/112 (pow.f64 x 7) x))
(fma.f64 (*.f64 3/40 (pow.f64 x 5)) 1 (fma.f64 -5/112 (pow.f64 x 7) x))
(fma.f64 -5/112 (pow.f64 x 7) (+.f64 x (*.f64 3/40 (pow.f64 x 5))))
(fma.f64 (pow.f64 x 7) -5/112 (+.f64 x (*.f64 3/40 (pow.f64 x 5))))
(fma.f64 (*.f64 -5/112 (pow.f64 x 7)) 1 (+.f64 x (*.f64 3/40 (pow.f64 x 5))))
(fma.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 1 (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 1 x (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5))))
(fma.f64 1 (*.f64 3/40 (pow.f64 x 5)) (fma.f64 -5/112 (pow.f64 x 7) x))
(fma.f64 1 (*.f64 -5/112 (pow.f64 x 7)) (+.f64 x (*.f64 3/40 (pow.f64 x 5))))
(fma.f64 1 (fma.f64 -5/112 (pow.f64 x 7) x) (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 1 (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5))) x)
(fma.f64 (cbrt.f64 (*.f64 -5/112 (pow.f64 x 7))) (cbrt.f64 (*.f64 25/12544 (pow.f64 x 14))) (+.f64 x (*.f64 3/40 (pow.f64 x 5))))
(fma.f64 (cbrt.f64 (*.f64 25/12544 (pow.f64 x 14))) (cbrt.f64 (*.f64 -5/112 (pow.f64 x 7))) (+.f64 x (*.f64 3/40 (pow.f64 x 5))))
(fma.f64 (cbrt.f64 (fma.f64 -5/112 (pow.f64 x 7) x)) (pow.f64 (cbrt.f64 (fma.f64 -5/112 (pow.f64 x 7) x)) 2) (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -5/112 (pow.f64 x 7) x)) 2) (cbrt.f64 (fma.f64 -5/112 (pow.f64 x 7) x)) (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 (cbrt.f64 (pow.f64 x 10)) (*.f64 (cbrt.f64 (pow.f64 x 5)) 3/40) (fma.f64 -5/112 (pow.f64 x 7) x))
(fma.f64 (cbrt.f64 (pow.f64 x 14)) (*.f64 (cbrt.f64 (pow.f64 x 7)) -5/112) (+.f64 x (*.f64 3/40 (pow.f64 x 5))))
(fma.f64 (cbrt.f64 (*.f64 3/40 (pow.f64 x 5))) (cbrt.f64 (*.f64 (pow.f64 x 10) 9/1600)) (fma.f64 -5/112 (pow.f64 x 7) x))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 10) 9/1600)) (cbrt.f64 (*.f64 3/40 (pow.f64 x 5))) (fma.f64 -5/112 (pow.f64 x 7) x))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5))))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5))))
(fma.f64 (*.f64 (sqrt.f64 -5/112) (pow.f64 x 7/2)) (*.f64 (sqrt.f64 -5/112) (pow.f64 x 7/2)) (+.f64 x (*.f64 3/40 (pow.f64 x 5))))
(fma.f64 (sqrt.f64 (fma.f64 -5/112 (pow.f64 x 7) x)) (sqrt.f64 (fma.f64 -5/112 (pow.f64 x 7) x)) (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 (pow.f64 x 5/2) (*.f64 (pow.f64 x 5/2) 3/40) (fma.f64 -5/112 (pow.f64 x 7) x))
(fma.f64 (pow.f64 x 7/2) (*.f64 (pow.f64 x 7/2) -5/112) (+.f64 x (*.f64 3/40 (pow.f64 x 5))))
(fma.f64 (*.f64 (pow.f64 x 5/2) (sqrt.f64 3/40)) (*.f64 (pow.f64 x 5/2) (sqrt.f64 3/40)) (fma.f64 -5/112 (pow.f64 x 7) x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5))))
(fma.f64 (fma.f64 -125/1404928 (pow.f64 x 21) (pow.f64 x 3)) (/.f64 1 (-.f64 (fma.f64 25/12544 (pow.f64 x 14) (*.f64 x x)) (*.f64 -5/112 (pow.f64 x 8)))) (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 (-.f64 (*.f64 25/12544 (pow.f64 x 14)) (*.f64 x x)) (/.f64 1 (-.f64 (*.f64 -5/112 (pow.f64 x 7)) x)) (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5))) 1 x)
(fma.f64 (*.f64 (cbrt.f64 (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5)))) (cbrt.f64 (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5))))) (cbrt.f64 (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5)))) x)
(fma.f64 (sqrt.f64 (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5)))) (sqrt.f64 (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5)))) x)
(fma.f64 (*.f64 -5/112 (cbrt.f64 (pow.f64 x 14))) (cbrt.f64 (pow.f64 x 7)) (+.f64 x (*.f64 3/40 (pow.f64 x 5))))
(fma.f64 (*.f64 -5/112 (pow.f64 x 7/2)) (pow.f64 x 7/2) (+.f64 x (*.f64 3/40 (pow.f64 x 5))))
(fma.f64 (*.f64 3/40 (cbrt.f64 (pow.f64 x 10))) (cbrt.f64 (pow.f64 x 5)) (fma.f64 -5/112 (pow.f64 x 7) x))
(fma.f64 (*.f64 3/40 (pow.f64 x 5/2)) (pow.f64 x 5/2) (fma.f64 -5/112 (pow.f64 x 7) x))
(+.f64 0 (*.f64 -5/112 (pow.f64 x 7)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 -5/112) (pow.f64 x 7))) (cbrt.f64 (pow.f64 (exp.f64 -5/112) (pow.f64 x 7))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -5/112) (pow.f64 x 7)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -5/112) (pow.f64 x 7)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -5/112) (pow.f64 x 7)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -5/112 (pow.f64 x 7)))) 1)
(pow.f64 (*.f64 -5/112 (pow.f64 x 7)) 1)
(pow.f64 (cbrt.f64 (*.f64 -5/112 (pow.f64 x 7))) 3)
(pow.f64 (*.f64 -125/1404928 (pow.f64 x 21)) 1/3)
(pow.f64 (*.f64 (sqrt.f64 -5/112) (pow.f64 x 7/2)) 2)
(sqrt.f64 (*.f64 25/12544 (pow.f64 x 14)))
(log.f64 (pow.f64 (exp.f64 -5/112) (pow.f64 x 7)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -5/112 (pow.f64 x 7)))))
(cbrt.f64 (*.f64 -125/1404928 (pow.f64 x 21)))
(expm1.f64 (log1p.f64 (*.f64 -5/112 (pow.f64 x 7))))
(exp.f64 (fma.f64 7 (log.f64 x) (log.f64 -5/112)))
(exp.f64 (*.f64 (fma.f64 7 (log.f64 x) (log.f64 -5/112)) 1))
(exp.f64 (*.f64 (*.f64 (fma.f64 7 (log.f64 x) (log.f64 -5/112)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 -5/112 (pow.f64 x 7)))) 3))
(exp.f64 (*.f64 (log.f64 (*.f64 -125/1404928 (pow.f64 x 21))) 1/3))
(exp.f64 (*.f64 (*.f64 (fma.f64 7 (log.f64 x) (log.f64 -5/112)) 3) 1/3))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 -5/112) (pow.f64 x 7/2))) 2))
(log1p.f64 (expm1.f64 (*.f64 -5/112 (pow.f64 x 7))))
Outputs
x
(+.f64 (*.f64 3/40 (pow.f64 x 5)) x)
(fma.f64 3/40 (pow.f64 x 5) x)
(*.f64 -5/112 (pow.f64 x 7))
(+.f64 (*.f64 3/40 (pow.f64 x 5)) (*.f64 -5/112 (pow.f64 x 7)))
(fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7)))
(*.f64 -5/112 (pow.f64 x 7))
(+.f64 (*.f64 3/40 (pow.f64 x 5)) (*.f64 -5/112 (pow.f64 x 7)))
(fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x)))) 1)
(fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))
(-.f64 (/.f64 (*.f64 (pow.f64 x 10) 9/1600) (-.f64 (*.f64 3/40 (pow.f64 x 5)) (fma.f64 -5/112 (pow.f64 x 7) x))) (/.f64 (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 2) (-.f64 (*.f64 3/40 (pow.f64 x 5)) (fma.f64 -5/112 (pow.f64 x 7) x))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 10) 9/1600) (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 2)) (-.f64 (*.f64 3/40 (pow.f64 x 5)) (fma.f64 -5/112 (pow.f64 x 7) x)))
(/.f64 (fma.f64 (pow.f64 x 10) -9/1600 (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 2)) (fma.f64 (pow.f64 x 5) -3/40 (fma.f64 -5/112 (pow.f64 x 7) x)))
(*.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x)) 1)
(fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))
(*.f64 1 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x)))
(fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))
(*.f64 (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))) (pow.f64 (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))) 2))
(fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))) 2) (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))))
(fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))
(*.f64 (sqrt.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))) (sqrt.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))))
(fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))
(*.f64 (fma.f64 (pow.f64 x 15) 27/64000 (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 3)) (/.f64 1 (fma.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (-.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (*.f64 3/40 (pow.f64 x 5))) (*.f64 (pow.f64 x 10) 9/1600))))
(*.f64 (fma.f64 (pow.f64 x 15) 27/64000 (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 3)) (/.f64 1 (fma.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (+.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (*.f64 -3/40 (pow.f64 x 5))) (*.f64 (pow.f64 x 10) 9/1600))))
(/.f64 (fma.f64 (pow.f64 x 15) 27/64000 (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 3)) (fma.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (+.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (*.f64 (pow.f64 x 5) -3/40)) (*.f64 (pow.f64 x 10) 9/1600)))
(/.f64 (fma.f64 (pow.f64 x 15) 27/64000 (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 3)) (fma.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (fma.f64 (pow.f64 x 5) -3/40 (fma.f64 -5/112 (pow.f64 x 7) x)) (*.f64 (pow.f64 x 10) 9/1600)))
(*.f64 (-.f64 (*.f64 (pow.f64 x 10) 9/1600) (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 2)) (/.f64 1 (-.f64 (*.f64 3/40 (pow.f64 x 5)) (fma.f64 -5/112 (pow.f64 x 7) x))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 10) 9/1600) (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 2)) (-.f64 (*.f64 3/40 (pow.f64 x 5)) (fma.f64 -5/112 (pow.f64 x 7) x)))
(/.f64 (fma.f64 (pow.f64 x 10) -9/1600 (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 2)) (fma.f64 (pow.f64 x 5) -3/40 (fma.f64 -5/112 (pow.f64 x 7) x)))
(/.f64 1 (/.f64 (fma.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (-.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (*.f64 3/40 (pow.f64 x 5))) (*.f64 (pow.f64 x 10) 9/1600)) (fma.f64 (pow.f64 x 15) 27/64000 (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 3))))
(*.f64 (fma.f64 (pow.f64 x 15) 27/64000 (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 3)) (/.f64 1 (fma.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (+.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (*.f64 -3/40 (pow.f64 x 5))) (*.f64 (pow.f64 x 10) 9/1600))))
(/.f64 (fma.f64 (pow.f64 x 15) 27/64000 (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 3)) (fma.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (+.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (*.f64 (pow.f64 x 5) -3/40)) (*.f64 (pow.f64 x 10) 9/1600)))
(/.f64 (fma.f64 (pow.f64 x 15) 27/64000 (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 3)) (fma.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (fma.f64 (pow.f64 x 5) -3/40 (fma.f64 -5/112 (pow.f64 x 7) x)) (*.f64 (pow.f64 x 10) 9/1600)))
(/.f64 1 (/.f64 (-.f64 (*.f64 3/40 (pow.f64 x 5)) (fma.f64 -5/112 (pow.f64 x 7) x)) (-.f64 (*.f64 (pow.f64 x 10) 9/1600) (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 2))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 10) 9/1600) (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 2)) (-.f64 (*.f64 3/40 (pow.f64 x 5)) (fma.f64 -5/112 (pow.f64 x 7) x)))
(/.f64 (fma.f64 (pow.f64 x 10) -9/1600 (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 2)) (fma.f64 (pow.f64 x 5) -3/40 (fma.f64 -5/112 (pow.f64 x 7) x)))
(/.f64 (fma.f64 (pow.f64 x 15) 27/64000 (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 3)) (fma.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (-.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (*.f64 3/40 (pow.f64 x 5))) (*.f64 (pow.f64 x 10) 9/1600)))
(*.f64 (fma.f64 (pow.f64 x 15) 27/64000 (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 3)) (/.f64 1 (fma.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (+.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (*.f64 -3/40 (pow.f64 x 5))) (*.f64 (pow.f64 x 10) 9/1600))))
(/.f64 (fma.f64 (pow.f64 x 15) 27/64000 (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 3)) (fma.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (+.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (*.f64 (pow.f64 x 5) -3/40)) (*.f64 (pow.f64 x 10) 9/1600)))
(/.f64 (fma.f64 (pow.f64 x 15) 27/64000 (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 3)) (fma.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (fma.f64 (pow.f64 x 5) -3/40 (fma.f64 -5/112 (pow.f64 x 7) x)) (*.f64 (pow.f64 x 10) 9/1600)))
(/.f64 (fma.f64 (pow.f64 x 15) 27/64000 (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 3)) (+.f64 (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 2) (-.f64 (*.f64 (pow.f64 x 10) 9/1600) (*.f64 3/40 (*.f64 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))))))
(*.f64 (fma.f64 (pow.f64 x 15) 27/64000 (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 3)) (/.f64 1 (fma.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (+.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (*.f64 -3/40 (pow.f64 x 5))) (*.f64 (pow.f64 x 10) 9/1600))))
(/.f64 (fma.f64 (pow.f64 x 15) 27/64000 (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 3)) (fma.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (+.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (*.f64 (pow.f64 x 5) -3/40)) (*.f64 (pow.f64 x 10) 9/1600)))
(/.f64 (fma.f64 (pow.f64 x 15) 27/64000 (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 3)) (fma.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (fma.f64 (pow.f64 x 5) -3/40 (fma.f64 -5/112 (pow.f64 x 7) x)) (*.f64 (pow.f64 x 10) 9/1600)))
(/.f64 (-.f64 (*.f64 (pow.f64 x 10) 9/1600) (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 2)) (-.f64 (*.f64 3/40 (pow.f64 x 5)) (fma.f64 -5/112 (pow.f64 x 7) x)))
(/.f64 (fma.f64 (pow.f64 x 10) -9/1600 (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 2)) (fma.f64 (pow.f64 x 5) -3/40 (fma.f64 -5/112 (pow.f64 x 7) x)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 15) 27/64000 (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 3))) (neg.f64 (fma.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (-.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (*.f64 3/40 (pow.f64 x 5))) (*.f64 (pow.f64 x 10) 9/1600))))
(*.f64 (fma.f64 (pow.f64 x 15) 27/64000 (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 3)) (/.f64 1 (fma.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (+.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (*.f64 -3/40 (pow.f64 x 5))) (*.f64 (pow.f64 x 10) 9/1600))))
(/.f64 (fma.f64 (pow.f64 x 15) 27/64000 (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 3)) (fma.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (+.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (*.f64 (pow.f64 x 5) -3/40)) (*.f64 (pow.f64 x 10) 9/1600)))
(/.f64 (fma.f64 (pow.f64 x 15) 27/64000 (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 3)) (fma.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (fma.f64 (pow.f64 x 5) -3/40 (fma.f64 -5/112 (pow.f64 x 7) x)) (*.f64 (pow.f64 x 10) 9/1600)))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x 10) 9/1600) (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 2))) (neg.f64 (-.f64 (*.f64 3/40 (pow.f64 x 5)) (fma.f64 -5/112 (pow.f64 x 7) x))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 10) 9/1600) (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 2)) (-.f64 (*.f64 3/40 (pow.f64 x 5)) (fma.f64 -5/112 (pow.f64 x 7) x)))
(/.f64 (fma.f64 (pow.f64 x 10) -9/1600 (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 2)) (fma.f64 (pow.f64 x 5) -3/40 (fma.f64 -5/112 (pow.f64 x 7) x)))
(/.f64 (+.f64 (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5))) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5))) 2) (-.f64 (*.f64 x x) (*.f64 (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5))) x))))
(/.f64 (+.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7))) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7))) 2) (*.f64 x (-.f64 x (fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7)))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7))) 3) (pow.f64 x 3)) (fma.f64 x (-.f64 x (fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7)))) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7))) 2)))
(/.f64 (+.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7))) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7))) (-.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7))) x))))
(/.f64 (-.f64 (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 2) (*.f64 (pow.f64 x 10) 9/1600)) (-.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (*.f64 3/40 (pow.f64 x 5))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 10) 9/1600) (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 2)) (-.f64 (*.f64 3/40 (pow.f64 x 5)) (fma.f64 -5/112 (pow.f64 x 7) x)))
(/.f64 (fma.f64 (pow.f64 x 10) -9/1600 (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 2)) (fma.f64 (pow.f64 x 5) -3/40 (fma.f64 -5/112 (pow.f64 x 7) x)))
(/.f64 (-.f64 (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5))) 2) (*.f64 x x)) (-.f64 (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5))) x))
(/.f64 (-.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7))) 2) (*.f64 x x)) (-.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7))) x))
(pow.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x)) 1)
(fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))
(pow.f64 (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))) 3)
(fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))
(pow.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x)) 3) 1/3)
(fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))
(pow.f64 (sqrt.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))) 2)
(fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))
(pow.f64 (/.f64 (fma.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (-.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (*.f64 3/40 (pow.f64 x 5))) (*.f64 (pow.f64 x 10) 9/1600)) (fma.f64 (pow.f64 x 15) 27/64000 (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 3))) -1)
(*.f64 (fma.f64 (pow.f64 x 15) 27/64000 (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 3)) (/.f64 1 (fma.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (+.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (*.f64 -3/40 (pow.f64 x 5))) (*.f64 (pow.f64 x 10) 9/1600))))
(/.f64 (fma.f64 (pow.f64 x 15) 27/64000 (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 3)) (fma.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (+.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (*.f64 (pow.f64 x 5) -3/40)) (*.f64 (pow.f64 x 10) 9/1600)))
(/.f64 (fma.f64 (pow.f64 x 15) 27/64000 (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 3)) (fma.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (fma.f64 (pow.f64 x 5) -3/40 (fma.f64 -5/112 (pow.f64 x 7) x)) (*.f64 (pow.f64 x 10) 9/1600)))
(pow.f64 (/.f64 (-.f64 (*.f64 3/40 (pow.f64 x 5)) (fma.f64 -5/112 (pow.f64 x 7) x)) (-.f64 (*.f64 (pow.f64 x 10) 9/1600) (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 2))) -1)
(/.f64 (-.f64 (*.f64 (pow.f64 x 10) 9/1600) (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 2)) (-.f64 (*.f64 3/40 (pow.f64 x 5)) (fma.f64 -5/112 (pow.f64 x 7) x)))
(/.f64 (fma.f64 (pow.f64 x 10) -9/1600 (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 2)) (fma.f64 (pow.f64 x 5) -3/40 (fma.f64 -5/112 (pow.f64 x 7) x)))
(sqrt.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x)) 2))
(fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))
(log.f64 (exp.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))))
(fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x)))))
(fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))
(log.f64 (*.f64 (exp.f64 x) (exp.f64 (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5))))))
(fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))
(log.f64 (*.f64 (exp.f64 x) (pow.f64 (exp.f64 1) (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5))))))
(fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5))))))
(fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (pow.f64 (exp.f64 1) (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5))))))
(fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))
(log.f64 (*.f64 (pow.f64 (exp.f64 (pow.f64 x 5)) 3/40) (+.f64 1 (expm1.f64 (fma.f64 -5/112 (pow.f64 x 7) x)))))
(fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 3/40 (pow.f64 x 5)))) (exp.f64 (fma.f64 -5/112 (pow.f64 x 7) x))))
(fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 3/40 (pow.f64 x 5)))) (+.f64 1 (expm1.f64 (fma.f64 -5/112 (pow.f64 x 7) x)))))
(fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))
(log.f64 (*.f64 (exp.f64 (fma.f64 -5/112 (pow.f64 x 7) x)) (+.f64 1 (expm1.f64 (*.f64 3/40 (pow.f64 x 5))))))
(fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 -5/112 (pow.f64 x 7) x))) (pow.f64 (exp.f64 (pow.f64 x 5)) 3/40)))
(fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 -5/112 (pow.f64 x 7) x))) (+.f64 1 (expm1.f64 (*.f64 3/40 (pow.f64 x 5))))))
(fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))
(log.f64 (*.f64 (exp.f64 (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5)))) (+.f64 1 (expm1.f64 x))))
(fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))
(log.f64 (*.f64 (pow.f64 (exp.f64 1) (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5)))) (exp.f64 x)))
(fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))
(log.f64 (*.f64 (pow.f64 (exp.f64 1) (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5)))) (+.f64 1 (expm1.f64 x))))
(fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))
(cbrt.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x)) 3))
(fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))
(expm1.f64 (log1p.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))))
(fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))
(exp.f64 (log.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))))
(fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))
(exp.f64 (*.f64 (log.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))) 1))
(fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))) 1) 1))
(fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x)))) 3))
(fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x)))) 1/3))
(fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x)))) 2))
(fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))
(log1p.f64 (expm1.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))))
(fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))
(fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))
(fma.f64 x 1 (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5))))
(fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))
(fma.f64 (pow.f64 x 5) 3/40 (fma.f64 -5/112 (pow.f64 x 7) x))
(fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))
(fma.f64 (*.f64 3/40 (pow.f64 x 5)) 1 (fma.f64 -5/112 (pow.f64 x 7) x))
(fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))
(fma.f64 -5/112 (pow.f64 x 7) (+.f64 x (*.f64 3/40 (pow.f64 x 5))))
(fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))
(fma.f64 (pow.f64 x 7) -5/112 (+.f64 x (*.f64 3/40 (pow.f64 x 5))))
(fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))
(fma.f64 (*.f64 -5/112 (pow.f64 x 7)) 1 (+.f64 x (*.f64 3/40 (pow.f64 x 5))))
(fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))
(fma.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 1 (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))
(fma.f64 1 x (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5))))
(fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))
(fma.f64 1 (*.f64 3/40 (pow.f64 x 5)) (fma.f64 -5/112 (pow.f64 x 7) x))
(fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))
(fma.f64 1 (*.f64 -5/112 (pow.f64 x 7)) (+.f64 x (*.f64 3/40 (pow.f64 x 5))))
(fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))
(fma.f64 1 (fma.f64 -5/112 (pow.f64 x 7) x) (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))
(fma.f64 1 (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5))) x)
(fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))
(fma.f64 (cbrt.f64 (*.f64 -5/112 (pow.f64 x 7))) (cbrt.f64 (*.f64 25/12544 (pow.f64 x 14))) (+.f64 x (*.f64 3/40 (pow.f64 x 5))))
(fma.f64 (cbrt.f64 (*.f64 -5/112 (pow.f64 x 7))) (cbrt.f64 (*.f64 25/12544 (pow.f64 x 14))) (fma.f64 3/40 (pow.f64 x 5) x))
(fma.f64 (cbrt.f64 (*.f64 25/12544 (pow.f64 x 14))) (cbrt.f64 (*.f64 -5/112 (pow.f64 x 7))) (+.f64 x (*.f64 3/40 (pow.f64 x 5))))
(fma.f64 (cbrt.f64 (*.f64 -5/112 (pow.f64 x 7))) (cbrt.f64 (*.f64 25/12544 (pow.f64 x 14))) (fma.f64 3/40 (pow.f64 x 5) x))
(fma.f64 (cbrt.f64 (fma.f64 -5/112 (pow.f64 x 7) x)) (pow.f64 (cbrt.f64 (fma.f64 -5/112 (pow.f64 x 7) x)) 2) (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -5/112 (pow.f64 x 7) x)) 2) (cbrt.f64 (fma.f64 -5/112 (pow.f64 x 7) x)) (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))
(fma.f64 (cbrt.f64 (pow.f64 x 10)) (*.f64 (cbrt.f64 (pow.f64 x 5)) 3/40) (fma.f64 -5/112 (pow.f64 x 7) x))
(fma.f64 (cbrt.f64 (pow.f64 x 10)) (*.f64 3/40 (cbrt.f64 (pow.f64 x 5))) (fma.f64 -5/112 (pow.f64 x 7) x))
(fma.f64 (*.f64 3/40 (cbrt.f64 (pow.f64 x 10))) (cbrt.f64 (pow.f64 x 5)) (fma.f64 -5/112 (pow.f64 x 7) x))
(fma.f64 (cbrt.f64 (pow.f64 x 5)) (*.f64 3/40 (cbrt.f64 (pow.f64 x 10))) (fma.f64 -5/112 (pow.f64 x 7) x))
(fma.f64 (cbrt.f64 (pow.f64 x 14)) (*.f64 (cbrt.f64 (pow.f64 x 7)) -5/112) (+.f64 x (*.f64 3/40 (pow.f64 x 5))))
(fma.f64 (cbrt.f64 (pow.f64 x 14)) (*.f64 -5/112 (cbrt.f64 (pow.f64 x 7))) (fma.f64 3/40 (pow.f64 x 5) x))
(fma.f64 -5/112 (*.f64 (cbrt.f64 (pow.f64 x 14)) (cbrt.f64 (pow.f64 x 7))) (fma.f64 3/40 (pow.f64 x 5) x))
(fma.f64 (cbrt.f64 (*.f64 3/40 (pow.f64 x 5))) (cbrt.f64 (*.f64 (pow.f64 x 10) 9/1600)) (fma.f64 -5/112 (pow.f64 x 7) x))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 10) 9/1600)) (cbrt.f64 (*.f64 3/40 (pow.f64 x 5))) (fma.f64 -5/112 (pow.f64 x 7) x))
(fma.f64 (cbrt.f64 (*.f64 3/40 (pow.f64 x 5))) (cbrt.f64 (*.f64 (pow.f64 x 10) 9/1600)) (fma.f64 -5/112 (pow.f64 x 7) x))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5))))
(fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5))))
(fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))
(fma.f64 (*.f64 (sqrt.f64 -5/112) (pow.f64 x 7/2)) (*.f64 (sqrt.f64 -5/112) (pow.f64 x 7/2)) (+.f64 x (*.f64 3/40 (pow.f64 x 5))))
(fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))
(fma.f64 (sqrt.f64 (fma.f64 -5/112 (pow.f64 x 7) x)) (sqrt.f64 (fma.f64 -5/112 (pow.f64 x 7) x)) (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))
(fma.f64 (pow.f64 x 5/2) (*.f64 (pow.f64 x 5/2) 3/40) (fma.f64 -5/112 (pow.f64 x 7) x))
(fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))
(fma.f64 (pow.f64 x 7/2) (*.f64 (pow.f64 x 7/2) -5/112) (+.f64 x (*.f64 3/40 (pow.f64 x 5))))
(fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))
(fma.f64 (*.f64 (pow.f64 x 5/2) (sqrt.f64 3/40)) (*.f64 (pow.f64 x 5/2) (sqrt.f64 3/40)) (fma.f64 -5/112 (pow.f64 x 7) x))
(fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5))))
(fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))
(fma.f64 (fma.f64 -125/1404928 (pow.f64 x 21) (pow.f64 x 3)) (/.f64 1 (-.f64 (fma.f64 25/12544 (pow.f64 x 14) (*.f64 x x)) (*.f64 -5/112 (pow.f64 x 8)))) (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 (fma.f64 -125/1404928 (pow.f64 x 21) (pow.f64 x 3)) (/.f64 1 (+.f64 (fma.f64 25/12544 (pow.f64 x 14) (*.f64 x x)) (*.f64 5/112 (pow.f64 x 8)))) (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 (fma.f64 -125/1404928 (pow.f64 x 21) (pow.f64 x 3)) (/.f64 1 (+.f64 (fma.f64 25/12544 (pow.f64 x 14) (*.f64 x x)) (*.f64 (pow.f64 x 8) 5/112))) (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 3/40 (pow.f64 x 5) (/.f64 (fma.f64 -125/1404928 (pow.f64 x 21) (pow.f64 x 3)) (fma.f64 (pow.f64 x 8) 5/112 (fma.f64 x x (*.f64 25/12544 (pow.f64 x 14))))))
(fma.f64 (-.f64 (*.f64 25/12544 (pow.f64 x 14)) (*.f64 x x)) (/.f64 1 (-.f64 (*.f64 -5/112 (pow.f64 x 7)) x)) (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 3/40 (pow.f64 x 5) (/.f64 (-.f64 (*.f64 25/12544 (pow.f64 x 14)) (*.f64 x x)) (-.f64 (*.f64 -5/112 (pow.f64 x 7)) x)))
(fma.f64 (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5))) 1 x)
(fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))
(fma.f64 (*.f64 (cbrt.f64 (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5)))) (cbrt.f64 (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5))))) (cbrt.f64 (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5)))) x)
(fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))
(fma.f64 (sqrt.f64 (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5)))) (sqrt.f64 (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5)))) x)
(fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))
(fma.f64 (*.f64 -5/112 (cbrt.f64 (pow.f64 x 14))) (cbrt.f64 (pow.f64 x 7)) (+.f64 x (*.f64 3/40 (pow.f64 x 5))))
(fma.f64 (cbrt.f64 (pow.f64 x 14)) (*.f64 -5/112 (cbrt.f64 (pow.f64 x 7))) (fma.f64 3/40 (pow.f64 x 5) x))
(fma.f64 -5/112 (*.f64 (cbrt.f64 (pow.f64 x 14)) (cbrt.f64 (pow.f64 x 7))) (fma.f64 3/40 (pow.f64 x 5) x))
(fma.f64 (*.f64 -5/112 (pow.f64 x 7/2)) (pow.f64 x 7/2) (+.f64 x (*.f64 3/40 (pow.f64 x 5))))
(fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))
(fma.f64 (*.f64 3/40 (cbrt.f64 (pow.f64 x 10))) (cbrt.f64 (pow.f64 x 5)) (fma.f64 -5/112 (pow.f64 x 7) x))
(fma.f64 (cbrt.f64 (pow.f64 x 10)) (*.f64 3/40 (cbrt.f64 (pow.f64 x 5))) (fma.f64 -5/112 (pow.f64 x 7) x))
(fma.f64 (cbrt.f64 (pow.f64 x 5)) (*.f64 3/40 (cbrt.f64 (pow.f64 x 10))) (fma.f64 -5/112 (pow.f64 x 7) x))
(fma.f64 (*.f64 3/40 (pow.f64 x 5/2)) (pow.f64 x 5/2) (fma.f64 -5/112 (pow.f64 x 7) x))
(fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))
(+.f64 0 (*.f64 -5/112 (pow.f64 x 7)))
(*.f64 -5/112 (pow.f64 x 7))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 -5/112) (pow.f64 x 7))) (cbrt.f64 (pow.f64 (exp.f64 -5/112) (pow.f64 x 7))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -5/112) (pow.f64 x 7)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -5/112) (pow.f64 x 7))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -5/112) (pow.f64 x 7)))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -5/112) (pow.f64 x 7)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -5/112) (pow.f64 x 7)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -5/112) (pow.f64 x 7)))))
(*.f64 -5/112 (pow.f64 x 7))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -5/112 (pow.f64 x 7)))) 1)
(*.f64 -5/112 (pow.f64 x 7))
(pow.f64 (*.f64 -5/112 (pow.f64 x 7)) 1)
(*.f64 -5/112 (pow.f64 x 7))
(pow.f64 (cbrt.f64 (*.f64 -5/112 (pow.f64 x 7))) 3)
(*.f64 -5/112 (pow.f64 x 7))
(pow.f64 (*.f64 -125/1404928 (pow.f64 x 21)) 1/3)
(cbrt.f64 (*.f64 -125/1404928 (pow.f64 x 21)))
(pow.f64 (*.f64 (sqrt.f64 -5/112) (pow.f64 x 7/2)) 2)
(*.f64 -5/112 (pow.f64 x 7))
(sqrt.f64 (*.f64 25/12544 (pow.f64 x 14)))
(log.f64 (pow.f64 (exp.f64 -5/112) (pow.f64 x 7)))
(*.f64 -5/112 (pow.f64 x 7))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -5/112 (pow.f64 x 7)))))
(*.f64 -5/112 (pow.f64 x 7))
(cbrt.f64 (*.f64 -125/1404928 (pow.f64 x 21)))
(expm1.f64 (log1p.f64 (*.f64 -5/112 (pow.f64 x 7))))
(*.f64 -5/112 (pow.f64 x 7))
(exp.f64 (fma.f64 7 (log.f64 x) (log.f64 -5/112)))
(*.f64 -5/112 (pow.f64 x 7))
(exp.f64 (*.f64 (fma.f64 7 (log.f64 x) (log.f64 -5/112)) 1))
(*.f64 -5/112 (pow.f64 x 7))
(exp.f64 (*.f64 (*.f64 (fma.f64 7 (log.f64 x) (log.f64 -5/112)) 1) 1))
(*.f64 -5/112 (pow.f64 x 7))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 -5/112 (pow.f64 x 7)))) 3))
(*.f64 -5/112 (pow.f64 x 7))
(exp.f64 (*.f64 (log.f64 (*.f64 -125/1404928 (pow.f64 x 21))) 1/3))
(cbrt.f64 (*.f64 -125/1404928 (pow.f64 x 21)))
(exp.f64 (*.f64 (*.f64 (fma.f64 7 (log.f64 x) (log.f64 -5/112)) 3) 1/3))
(*.f64 -5/112 (pow.f64 x 7))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 -5/112) (pow.f64 x 7/2))) 2))
(*.f64 -5/112 (pow.f64 x 7))
(log1p.f64 (expm1.f64 (*.f64 -5/112 (pow.f64 x 7))))
(*.f64 -5/112 (pow.f64 x 7))

eval395.0ms (4.2%)

Compiler

Compiled 11738 to 9201 computations (21.6% saved)

prune109.0ms (1.2%)

Pruning

11 alts after pruning (4 fresh and 7 done)

PrunedKeptTotal
New5613564
Fresh011
Picked011
Done167
Total56211573
Accurracy
100.0%
Counts
573 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.6%
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x)))
52.1%
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x))
51.6%
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
30.3%
(*.f64 2 (log.f64 (pow.f64 (neg.f64 (-.f64 x (hypot.f64 1 x))) -1/2)))
30.3%
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
25.2%
(log.f64 (/.f64 -1/2 x))
26.2%
(log.f64 (/.f64 -1 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))))
24.9%
(log.f64 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))))
29.2%
(log.f64 (+.f64 x (hypot.f64 1 x)))
24.0%
(log.f64 (+.f64 x x))
53.5%
x
Compiler

Compiled 105 to 82 computations (21.9% saved)

localize133.0ms (1.4%)

Local Accuracy

Found 2 expressions with local accuracy:

NewAccuracyProgram
100.0%
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
99.9%
(/.f64 -1 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))))
Compiler

Compiled 50 to 40 computations (20% saved)

series2.0ms (0%)

Counts
2 → 15
Calls

6 calls:

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

rewrite77.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
1062×log-prod
648×fma-def
636×pow-prod-down
500×pow-prod-up
492×pow-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01236
125836
2314336
Stop Event
node limit
Counts
2 → 98
Calls
Call 1
Inputs
(/.f64 -1 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))))
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
Outputs
(+.f64 0 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))) 1)
(*.f64 -1 (/.f64 1 (fma.f64 2 x (/.f64 1/2 x))))
(*.f64 1 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))
(*.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))) 1)
(*.f64 (/.f64 -1 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x)))) (cbrt.f64 (pow.f64 (fma.f64 2 x (/.f64 1/2 x)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 2 x (/.f64 1/2 x)) -2)) (/.f64 -1 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x)))))
(*.f64 (pow.f64 (neg.f64 (fma.f64 2 x (/.f64 1/2 x))) -1/2) (pow.f64 (neg.f64 (fma.f64 2 x (/.f64 1/2 x))) -1/2))
(*.f64 (/.f64 1 (fma.f64 2 x (/.f64 1/2 x))) -1)
(*.f64 (/.f64 -1 (fma.f64 (pow.f64 x 3) 8 (*.f64 (pow.f64 x -3) 1/8))) (fma.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) (+.f64 x x)) (pow.f64 (+.f64 x x) 2)))
(*.f64 (/.f64 -1 (-.f64 (pow.f64 (+.f64 x x) 2) (*.f64 (pow.f64 x -2) 1/4))) (-.f64 (+.f64 x x) (/.f64 1/2 x)))
(pow.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))) 1)
(pow.f64 (/.f64 -1 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x)))) 3)
(pow.f64 (pow.f64 (fma.f64 2 x (/.f64 1/2 x)) -2) 1/2)
(pow.f64 (pow.f64 (neg.f64 (fma.f64 2 x (/.f64 1/2 x))) -3) 1/3)
(pow.f64 (pow.f64 (neg.f64 (fma.f64 2 x (/.f64 1/2 x))) -1/2) 2)
(pow.f64 (neg.f64 (fma.f64 2 x (/.f64 1/2 x))) -1)
(neg.f64 (/.f64 1 (fma.f64 2 x (/.f64 1/2 x))))
(sqrt.f64 (pow.f64 (fma.f64 2 x (/.f64 1/2 x)) -2))
(log.f64 (exp.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))))
(log.f64 (/.f64 1 (exp.f64 (/.f64 1 (fma.f64 2 x (/.f64 1/2 x))))))
(cbrt.f64 (pow.f64 (neg.f64 (fma.f64 2 x (/.f64 1/2 x))) -3))
(expm1.f64 (log1p.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))))
(exp.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))))
(exp.f64 (*.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (/.f64 -1 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x))))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (neg.f64 (fma.f64 2 x (/.f64 1/2 x))) -3)) 1/3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (neg.f64 (fma.f64 2 x (/.f64 1/2 x))) -1/2)) 2))
(exp.f64 (*.f64 (log.f64 (neg.f64 (fma.f64 2 x (/.f64 1/2 x)))) -1))
(log1p.f64 (expm1.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 2 x (/.f64 1/2 x)))) 1)
(-.f64 (/.f64 (pow.f64 (+.f64 x x) 2) (-.f64 (+.f64 x x) (/.f64 1/2 x))) (/.f64 (*.f64 (pow.f64 x -2) 1/4) (-.f64 (+.f64 x x) (/.f64 1/2 x))))
(*.f64 1 (fma.f64 2 x (/.f64 1/2 x)))
(*.f64 (fma.f64 2 x (/.f64 1/2 x)) 1)
(*.f64 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x))) (pow.f64 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x))) 2) (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x))))
(*.f64 (sqrt.f64 (fma.f64 2 x (/.f64 1/2 x))) (sqrt.f64 (fma.f64 2 x (/.f64 1/2 x))))
(*.f64 (fma.f64 (pow.f64 x 3) 8 (*.f64 (pow.f64 x -3) 1/8)) (/.f64 1 (fma.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) (+.f64 x x)) (pow.f64 (+.f64 x x) 2))))
(*.f64 (-.f64 (pow.f64 (+.f64 x x) 2) (*.f64 (pow.f64 x -2) 1/4)) (/.f64 1 (-.f64 (+.f64 x x) (/.f64 1/2 x))))
(/.f64 1 (/.f64 (fma.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) (+.f64 x x)) (pow.f64 (+.f64 x x) 2)) (fma.f64 (pow.f64 x 3) 8 (*.f64 (pow.f64 x -3) 1/8))))
(/.f64 1 (/.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)) (-.f64 (pow.f64 (+.f64 x x) 2) (*.f64 (pow.f64 x -2) 1/4))))
(/.f64 (fma.f64 (pow.f64 x 3) 8 (*.f64 (pow.f64 x -3) 1/8)) (fma.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) (+.f64 x x)) (pow.f64 (+.f64 x x) 2)))
(/.f64 (fma.f64 (pow.f64 x 3) 8 (*.f64 (pow.f64 x -3) 1/8)) (fma.f64 (pow.f64 x -2) 1/4 (-.f64 (pow.f64 (+.f64 x x) 2) (*.f64 2 (*.f64 x (/.f64 1/2 x))))))
(/.f64 (-.f64 (pow.f64 (+.f64 x x) 2) (*.f64 (pow.f64 x -2) 1/4)) (-.f64 (+.f64 x x) (/.f64 1/2 x)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 3) 8 (*.f64 (pow.f64 x -3) 1/8))) (neg.f64 (fma.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) (+.f64 x x)) (pow.f64 (+.f64 x x) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x x) 2) (*.f64 (pow.f64 x -2) 1/4))) (neg.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))))
(/.f64 (-.f64 (*.f64 (pow.f64 x -2) 1/4) (pow.f64 (+.f64 x x) 2)) (-.f64 (/.f64 1/2 x) (+.f64 x x)))
(pow.f64 (fma.f64 2 x (/.f64 1/2 x)) 1)
(pow.f64 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x))) 3)
(pow.f64 (pow.f64 (fma.f64 2 x (/.f64 1/2 x)) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 2 x (/.f64 1/2 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 2 x (/.f64 1/2 x))) 2)
(pow.f64 (/.f64 (fma.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) (+.f64 x x)) (pow.f64 (+.f64 x x) 2)) (fma.f64 (pow.f64 x 3) 8 (*.f64 (pow.f64 x -3) 1/8))) -1)
(pow.f64 (/.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)) (-.f64 (pow.f64 (+.f64 x x) 2) (*.f64 (pow.f64 x -2) 1/4))) -1)
(sqrt.f64 (pow.f64 (fma.f64 2 x (/.f64 1/2 x)) 2))
(log.f64 (exp.f64 (fma.f64 2 x (/.f64 1/2 x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 2 x (/.f64 1/2 x)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (expm1.f64 (/.f64 1/2 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 x x))) (exp.f64 (/.f64 1/2 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 x x))) (+.f64 1 (expm1.f64 (/.f64 1/2 x)))))
(log.f64 (*.f64 (exp.f64 (/.f64 1/2 x)) (+.f64 1 (expm1.f64 (+.f64 x x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 1/2 x))) (pow.f64 (exp.f64 x) 2)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 1/2 x))) (+.f64 1 (expm1.f64 (+.f64 x x)))))
(cbrt.f64 (pow.f64 (fma.f64 2 x (/.f64 1/2 x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 2 x (/.f64 1/2 x))))
(exp.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x))))
(exp.f64 (*.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 2 x (/.f64 1/2 x)) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 2 x (/.f64 1/2 x)))) 2))
(log1p.f64 (expm1.f64 (fma.f64 2 x (/.f64 1/2 x))))
(fma.f64 2 x (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(fma.f64 (+.f64 x x) 1 (/.f64 1/2 x))
(fma.f64 1/2 (/.f64 1 x) (+.f64 x x))
(fma.f64 1 (+.f64 x x) (/.f64 1/2 x))
(fma.f64 1 (/.f64 1/2 x) (+.f64 x x))
(fma.f64 (/.f64 1 x) 1/2 (+.f64 x x))
(fma.f64 (/.f64 1/2 x) 1 (+.f64 x x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 2) (/.f64 1/2 x))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 (/.f64 1 (cbrt.f64 x)) 1/2) (+.f64 x x))
(fma.f64 (cbrt.f64 (+.f64 x x)) (cbrt.f64 (pow.f64 (+.f64 x x) 2)) (/.f64 1/2 x))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 x x) 2)) (cbrt.f64 (+.f64 x x)) (/.f64 1/2 x))
(fma.f64 (cbrt.f64 (/.f64 1/2 x)) (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2) (+.f64 x x))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2) (cbrt.f64 (/.f64 1/2 x)) (+.f64 x x))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 2) (/.f64 1/2 x))
(fma.f64 (pow.f64 x -1/2) (*.f64 (pow.f64 x -1/2) 1/2) (+.f64 x x))
(fma.f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 (+.f64 x x)) (/.f64 1/2 x))
(fma.f64 (sqrt.f64 (/.f64 1/2 x)) (sqrt.f64 (/.f64 1/2 x)) (+.f64 x x))
(fma.f64 (*.f64 2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (/.f64 1/2 x))
(fma.f64 (*.f64 2 (sqrt.f64 x)) (sqrt.f64 x) (/.f64 1/2 x))
(fma.f64 (*.f64 1/2 (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x)) (+.f64 x x))
(fma.f64 (*.f64 1/2 (pow.f64 x -1/2)) (pow.f64 x -1/2) (+.f64 x x))

simplify98.0ms (1%)

Algorithm
egg-herbie
Rules
1132×fma-neg
958×fma-def
662×log-prod
520×exp-prod
442×distribute-rgt-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02613089
16152979
216882823
364372819
Stop Event
node limit
Counts
113 → 148
Calls
Call 1
Inputs
(*.f64 -2 x)
(+.f64 (*.f64 -2 x) (*.f64 8 (pow.f64 x 3)))
(+.f64 (*.f64 -2 x) (+.f64 (*.f64 8 (pow.f64 x 3)) (*.f64 -32 (pow.f64 x 5))))
(+.f64 (*.f64 128 (pow.f64 x 7)) (+.f64 (*.f64 -2 x) (+.f64 (*.f64 8 (pow.f64 x 3)) (*.f64 -32 (pow.f64 x 5)))))
(/.f64 -1/2 x)
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/32 (/.f64 1 (pow.f64 x 5)))))
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/128 (/.f64 1 (pow.f64 x 7)))) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/32 (/.f64 1 (pow.f64 x 5)))))
(/.f64 -1/2 x)
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/32 (/.f64 1 (pow.f64 x 5)))))
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/128 (/.f64 1 (pow.f64 x 7)))) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/32 (/.f64 1 (pow.f64 x 5)))))
(/.f64 1/2 x)
(*.f64 2 x)
(*.f64 2 x)
(+.f64 0 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))) 1)
(*.f64 -1 (/.f64 1 (fma.f64 2 x (/.f64 1/2 x))))
(*.f64 1 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))
(*.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))) 1)
(*.f64 (/.f64 -1 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x)))) (cbrt.f64 (pow.f64 (fma.f64 2 x (/.f64 1/2 x)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 2 x (/.f64 1/2 x)) -2)) (/.f64 -1 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x)))))
(*.f64 (pow.f64 (neg.f64 (fma.f64 2 x (/.f64 1/2 x))) -1/2) (pow.f64 (neg.f64 (fma.f64 2 x (/.f64 1/2 x))) -1/2))
(*.f64 (/.f64 1 (fma.f64 2 x (/.f64 1/2 x))) -1)
(*.f64 (/.f64 -1 (fma.f64 (pow.f64 x 3) 8 (*.f64 (pow.f64 x -3) 1/8))) (fma.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) (+.f64 x x)) (pow.f64 (+.f64 x x) 2)))
(*.f64 (/.f64 -1 (-.f64 (pow.f64 (+.f64 x x) 2) (*.f64 (pow.f64 x -2) 1/4))) (-.f64 (+.f64 x x) (/.f64 1/2 x)))
(pow.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))) 1)
(pow.f64 (/.f64 -1 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x)))) 3)
(pow.f64 (pow.f64 (fma.f64 2 x (/.f64 1/2 x)) -2) 1/2)
(pow.f64 (pow.f64 (neg.f64 (fma.f64 2 x (/.f64 1/2 x))) -3) 1/3)
(pow.f64 (pow.f64 (neg.f64 (fma.f64 2 x (/.f64 1/2 x))) -1/2) 2)
(pow.f64 (neg.f64 (fma.f64 2 x (/.f64 1/2 x))) -1)
(neg.f64 (/.f64 1 (fma.f64 2 x (/.f64 1/2 x))))
(sqrt.f64 (pow.f64 (fma.f64 2 x (/.f64 1/2 x)) -2))
(log.f64 (exp.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))))
(log.f64 (/.f64 1 (exp.f64 (/.f64 1 (fma.f64 2 x (/.f64 1/2 x))))))
(cbrt.f64 (pow.f64 (neg.f64 (fma.f64 2 x (/.f64 1/2 x))) -3))
(expm1.f64 (log1p.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))))
(exp.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))))
(exp.f64 (*.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (/.f64 -1 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x))))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (neg.f64 (fma.f64 2 x (/.f64 1/2 x))) -3)) 1/3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (neg.f64 (fma.f64 2 x (/.f64 1/2 x))) -1/2)) 2))
(exp.f64 (*.f64 (log.f64 (neg.f64 (fma.f64 2 x (/.f64 1/2 x)))) -1))
(log1p.f64 (expm1.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 2 x (/.f64 1/2 x)))) 1)
(-.f64 (/.f64 (pow.f64 (+.f64 x x) 2) (-.f64 (+.f64 x x) (/.f64 1/2 x))) (/.f64 (*.f64 (pow.f64 x -2) 1/4) (-.f64 (+.f64 x x) (/.f64 1/2 x))))
(*.f64 1 (fma.f64 2 x (/.f64 1/2 x)))
(*.f64 (fma.f64 2 x (/.f64 1/2 x)) 1)
(*.f64 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x))) (pow.f64 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x))) 2) (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x))))
(*.f64 (sqrt.f64 (fma.f64 2 x (/.f64 1/2 x))) (sqrt.f64 (fma.f64 2 x (/.f64 1/2 x))))
(*.f64 (fma.f64 (pow.f64 x 3) 8 (*.f64 (pow.f64 x -3) 1/8)) (/.f64 1 (fma.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) (+.f64 x x)) (pow.f64 (+.f64 x x) 2))))
(*.f64 (-.f64 (pow.f64 (+.f64 x x) 2) (*.f64 (pow.f64 x -2) 1/4)) (/.f64 1 (-.f64 (+.f64 x x) (/.f64 1/2 x))))
(/.f64 1 (/.f64 (fma.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) (+.f64 x x)) (pow.f64 (+.f64 x x) 2)) (fma.f64 (pow.f64 x 3) 8 (*.f64 (pow.f64 x -3) 1/8))))
(/.f64 1 (/.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)) (-.f64 (pow.f64 (+.f64 x x) 2) (*.f64 (pow.f64 x -2) 1/4))))
(/.f64 (fma.f64 (pow.f64 x 3) 8 (*.f64 (pow.f64 x -3) 1/8)) (fma.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) (+.f64 x x)) (pow.f64 (+.f64 x x) 2)))
(/.f64 (fma.f64 (pow.f64 x 3) 8 (*.f64 (pow.f64 x -3) 1/8)) (fma.f64 (pow.f64 x -2) 1/4 (-.f64 (pow.f64 (+.f64 x x) 2) (*.f64 2 (*.f64 x (/.f64 1/2 x))))))
(/.f64 (-.f64 (pow.f64 (+.f64 x x) 2) (*.f64 (pow.f64 x -2) 1/4)) (-.f64 (+.f64 x x) (/.f64 1/2 x)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 3) 8 (*.f64 (pow.f64 x -3) 1/8))) (neg.f64 (fma.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) (+.f64 x x)) (pow.f64 (+.f64 x x) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x x) 2) (*.f64 (pow.f64 x -2) 1/4))) (neg.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))))
(/.f64 (-.f64 (*.f64 (pow.f64 x -2) 1/4) (pow.f64 (+.f64 x x) 2)) (-.f64 (/.f64 1/2 x) (+.f64 x x)))
(pow.f64 (fma.f64 2 x (/.f64 1/2 x)) 1)
(pow.f64 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x))) 3)
(pow.f64 (pow.f64 (fma.f64 2 x (/.f64 1/2 x)) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 2 x (/.f64 1/2 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 2 x (/.f64 1/2 x))) 2)
(pow.f64 (/.f64 (fma.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) (+.f64 x x)) (pow.f64 (+.f64 x x) 2)) (fma.f64 (pow.f64 x 3) 8 (*.f64 (pow.f64 x -3) 1/8))) -1)
(pow.f64 (/.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)) (-.f64 (pow.f64 (+.f64 x x) 2) (*.f64 (pow.f64 x -2) 1/4))) -1)
(sqrt.f64 (pow.f64 (fma.f64 2 x (/.f64 1/2 x)) 2))
(log.f64 (exp.f64 (fma.f64 2 x (/.f64 1/2 x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 2 x (/.f64 1/2 x)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (expm1.f64 (/.f64 1/2 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 x x))) (exp.f64 (/.f64 1/2 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 x x))) (+.f64 1 (expm1.f64 (/.f64 1/2 x)))))
(log.f64 (*.f64 (exp.f64 (/.f64 1/2 x)) (+.f64 1 (expm1.f64 (+.f64 x x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 1/2 x))) (pow.f64 (exp.f64 x) 2)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 1/2 x))) (+.f64 1 (expm1.f64 (+.f64 x x)))))
(cbrt.f64 (pow.f64 (fma.f64 2 x (/.f64 1/2 x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 2 x (/.f64 1/2 x))))
(exp.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x))))
(exp.f64 (*.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 2 x (/.f64 1/2 x)) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 2 x (/.f64 1/2 x)))) 2))
(log1p.f64 (expm1.f64 (fma.f64 2 x (/.f64 1/2 x))))
(fma.f64 2 x (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(fma.f64 (+.f64 x x) 1 (/.f64 1/2 x))
(fma.f64 1/2 (/.f64 1 x) (+.f64 x x))
(fma.f64 1 (+.f64 x x) (/.f64 1/2 x))
(fma.f64 1 (/.f64 1/2 x) (+.f64 x x))
(fma.f64 (/.f64 1 x) 1/2 (+.f64 x x))
(fma.f64 (/.f64 1/2 x) 1 (+.f64 x x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 2) (/.f64 1/2 x))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 (/.f64 1 (cbrt.f64 x)) 1/2) (+.f64 x x))
(fma.f64 (cbrt.f64 (+.f64 x x)) (cbrt.f64 (pow.f64 (+.f64 x x) 2)) (/.f64 1/2 x))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 x x) 2)) (cbrt.f64 (+.f64 x x)) (/.f64 1/2 x))
(fma.f64 (cbrt.f64 (/.f64 1/2 x)) (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2) (+.f64 x x))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2) (cbrt.f64 (/.f64 1/2 x)) (+.f64 x x))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 2) (/.f64 1/2 x))
(fma.f64 (pow.f64 x -1/2) (*.f64 (pow.f64 x -1/2) 1/2) (+.f64 x x))
(fma.f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 (+.f64 x x)) (/.f64 1/2 x))
(fma.f64 (sqrt.f64 (/.f64 1/2 x)) (sqrt.f64 (/.f64 1/2 x)) (+.f64 x x))
(fma.f64 (*.f64 2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (/.f64 1/2 x))
(fma.f64 (*.f64 2 (sqrt.f64 x)) (sqrt.f64 x) (/.f64 1/2 x))
(fma.f64 (*.f64 1/2 (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x)) (+.f64 x x))
(fma.f64 (*.f64 1/2 (pow.f64 x -1/2)) (pow.f64 x -1/2) (+.f64 x x))
Outputs
(*.f64 -2 x)
(+.f64 (*.f64 -2 x) (*.f64 8 (pow.f64 x 3)))
(fma.f64 -2 x (*.f64 8 (pow.f64 x 3)))
(fma.f64 8 (pow.f64 x 3) (*.f64 -2 x))
(+.f64 (*.f64 -2 x) (+.f64 (*.f64 8 (pow.f64 x 3)) (*.f64 -32 (pow.f64 x 5))))
(fma.f64 -2 x (fma.f64 8 (pow.f64 x 3) (*.f64 -32 (pow.f64 x 5))))
(fma.f64 8 (pow.f64 x 3) (fma.f64 -32 (pow.f64 x 5) (*.f64 -2 x)))
(+.f64 (*.f64 128 (pow.f64 x 7)) (+.f64 (*.f64 -2 x) (+.f64 (*.f64 8 (pow.f64 x 3)) (*.f64 -32 (pow.f64 x 5)))))
(fma.f64 128 (pow.f64 x 7) (fma.f64 -2 x (fma.f64 8 (pow.f64 x 3) (*.f64 -32 (pow.f64 x 5)))))
(fma.f64 128 (pow.f64 x 7) (fma.f64 8 (pow.f64 x 3) (fma.f64 -32 (pow.f64 x 5) (*.f64 -2 x))))
(/.f64 -1/2 x)
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x))
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/32 (/.f64 1 (pow.f64 x 5)))))
(-.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 1/32 (pow.f64 x 5)) (/.f64 1/2 x)))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (/.f64 -1/2 x) (/.f64 1/32 (pow.f64 x 5))))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 -1/2 x) (/.f64 -1/32 (pow.f64 x 5))))
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/128 (/.f64 1 (pow.f64 x 7)))) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/32 (/.f64 1 (pow.f64 x 5)))))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (/.f64 1/128 (pow.f64 x 7)) (+.f64 (/.f64 1/32 (pow.f64 x 5)) (/.f64 1/2 x))))
(+.f64 (/.f64 1/128 (pow.f64 x 7)) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (/.f64 -1/2 x) (/.f64 1/32 (pow.f64 x 5)))))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 1/128 (pow.f64 x 7)) (+.f64 (/.f64 -1/2 x) (/.f64 -1/32 (pow.f64 x 5)))))
(/.f64 -1/2 x)
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x))
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/32 (/.f64 1 (pow.f64 x 5)))))
(-.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 1/32 (pow.f64 x 5)) (/.f64 1/2 x)))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (/.f64 -1/2 x) (/.f64 1/32 (pow.f64 x 5))))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 -1/2 x) (/.f64 -1/32 (pow.f64 x 5))))
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/128 (/.f64 1 (pow.f64 x 7)))) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/32 (/.f64 1 (pow.f64 x 5)))))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (/.f64 1/128 (pow.f64 x 7)) (+.f64 (/.f64 1/32 (pow.f64 x 5)) (/.f64 1/2 x))))
(+.f64 (/.f64 1/128 (pow.f64 x 7)) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (/.f64 -1/2 x) (/.f64 1/32 (pow.f64 x 5)))))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 1/128 (pow.f64 x 7)) (+.f64 (/.f64 -1/2 x) (/.f64 -1/32 (pow.f64 x 5)))))
(/.f64 1/2 x)
(*.f64 2 x)
(+.f64 x x)
(*.f64 2 x)
(+.f64 x x)
(+.f64 0 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))
(/.f64 -1 (fma.f64 x 2 (/.f64 1/2 x)))
(/.f64 1 (fma.f64 -2 x (/.f64 -1/2 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 -1 (fma.f64 x 2 (/.f64 1/2 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 -1 (fma.f64 x 2 (/.f64 1/2 x)))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 -1 (fma.f64 x 2 (/.f64 1/2 x)))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 -2 x (/.f64 -1/2 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))))))
(/.f64 -1 (fma.f64 x 2 (/.f64 1/2 x)))
(/.f64 1 (fma.f64 -2 x (/.f64 -1/2 x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))) 1)
(/.f64 -1 (fma.f64 x 2 (/.f64 1/2 x)))
(/.f64 1 (fma.f64 -2 x (/.f64 -1/2 x)))
(*.f64 -1 (/.f64 1 (fma.f64 2 x (/.f64 1/2 x))))
(/.f64 -1 (fma.f64 x 2 (/.f64 1/2 x)))
(/.f64 1 (fma.f64 -2 x (/.f64 -1/2 x)))
(*.f64 1 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))
(/.f64 -1 (fma.f64 x 2 (/.f64 1/2 x)))
(/.f64 1 (fma.f64 -2 x (/.f64 -1/2 x)))
(*.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))) 1)
(/.f64 -1 (fma.f64 x 2 (/.f64 1/2 x)))
(/.f64 1 (fma.f64 -2 x (/.f64 -1/2 x)))
(*.f64 (/.f64 -1 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x)))) (cbrt.f64 (pow.f64 (fma.f64 2 x (/.f64 1/2 x)) -2)))
(*.f64 (/.f64 -1 (cbrt.f64 (fma.f64 x 2 (/.f64 1/2 x)))) (cbrt.f64 (pow.f64 (fma.f64 x 2 (/.f64 1/2 x)) -2)))
(/.f64 (neg.f64 (cbrt.f64 (pow.f64 (fma.f64 x 2 (/.f64 1/2 x)) -2))) (cbrt.f64 (fma.f64 x 2 (/.f64 1/2 x))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 2 x (/.f64 1/2 x)) -2)) (/.f64 -1 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x)))))
(*.f64 (/.f64 -1 (cbrt.f64 (fma.f64 x 2 (/.f64 1/2 x)))) (cbrt.f64 (pow.f64 (fma.f64 x 2 (/.f64 1/2 x)) -2)))
(/.f64 (neg.f64 (cbrt.f64 (pow.f64 (fma.f64 x 2 (/.f64 1/2 x)) -2))) (cbrt.f64 (fma.f64 x 2 (/.f64 1/2 x))))
(*.f64 (pow.f64 (neg.f64 (fma.f64 2 x (/.f64 1/2 x))) -1/2) (pow.f64 (neg.f64 (fma.f64 2 x (/.f64 1/2 x))) -1/2))
(/.f64 -1 (fma.f64 x 2 (/.f64 1/2 x)))
(/.f64 1 (fma.f64 -2 x (/.f64 -1/2 x)))
(*.f64 (/.f64 1 (fma.f64 2 x (/.f64 1/2 x))) -1)
(/.f64 -1 (fma.f64 x 2 (/.f64 1/2 x)))
(/.f64 1 (fma.f64 -2 x (/.f64 -1/2 x)))
(*.f64 (/.f64 -1 (fma.f64 (pow.f64 x 3) 8 (*.f64 (pow.f64 x -3) 1/8))) (fma.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) (+.f64 x x)) (pow.f64 (+.f64 x x) 2)))
(/.f64 (neg.f64 (fma.f64 (/.f64 1/2 x) (-.f64 (-.f64 (/.f64 1/2 x) x) x) (pow.f64 (+.f64 x x) 2))) (fma.f64 (pow.f64 x 3) 8 (*.f64 1/8 (pow.f64 x -3))))
(/.f64 (neg.f64 (fma.f64 (/.f64 1/2 x) (-.f64 (-.f64 (/.f64 1/2 x) x) x) (*.f64 (*.f64 x x) 4))) (fma.f64 8 (pow.f64 x 3) (*.f64 1/8 (pow.f64 x -3))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x -2) 1/4 (fma.f64 (*.f64 x x) 4 -1))) (fma.f64 8 (pow.f64 x 3) (*.f64 1/8 (pow.f64 x -3))))
(/.f64 (fma.f64 (*.f64 x x) -4 (fma.f64 (pow.f64 x -2) -1/4 1)) (fma.f64 8 (pow.f64 x 3) (*.f64 1/8 (pow.f64 x -3))))
(*.f64 (/.f64 -1 (-.f64 (pow.f64 (+.f64 x x) 2) (*.f64 (pow.f64 x -2) 1/4))) (-.f64 (+.f64 x x) (/.f64 1/2 x)))
(/.f64 (neg.f64 (+.f64 x (-.f64 x (/.f64 1/2 x)))) (-.f64 (pow.f64 (+.f64 x x) 2) (*.f64 (pow.f64 x -2) 1/4)))
(/.f64 (-.f64 (-.f64 (/.f64 1/2 x) x) x) (+.f64 (*.f64 (*.f64 x x) 4) (*.f64 (pow.f64 x -2) -1/4)))
(/.f64 (fma.f64 -2 x (/.f64 1/2 x)) (fma.f64 (pow.f64 x -2) -1/4 (pow.f64 (+.f64 x x) 2)))
(pow.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))) 1)
(/.f64 -1 (fma.f64 x 2 (/.f64 1/2 x)))
(/.f64 1 (fma.f64 -2 x (/.f64 -1/2 x)))
(pow.f64 (/.f64 -1 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x)))) 3)
(/.f64 -1 (fma.f64 x 2 (/.f64 1/2 x)))
(/.f64 1 (fma.f64 -2 x (/.f64 -1/2 x)))
(pow.f64 (pow.f64 (fma.f64 2 x (/.f64 1/2 x)) -2) 1/2)
(sqrt.f64 (pow.f64 (fma.f64 x 2 (/.f64 1/2 x)) -2))
(/.f64 1 (fma.f64 x 2 (/.f64 1/2 x)))
(pow.f64 (pow.f64 (neg.f64 (fma.f64 2 x (/.f64 1/2 x))) -3) 1/3)
(/.f64 -1 (fma.f64 x 2 (/.f64 1/2 x)))
(/.f64 1 (fma.f64 -2 x (/.f64 -1/2 x)))
(pow.f64 (pow.f64 (neg.f64 (fma.f64 2 x (/.f64 1/2 x))) -1/2) 2)
(/.f64 -1 (fma.f64 x 2 (/.f64 1/2 x)))
(/.f64 1 (fma.f64 -2 x (/.f64 -1/2 x)))
(pow.f64 (neg.f64 (fma.f64 2 x (/.f64 1/2 x))) -1)
(/.f64 -1 (fma.f64 x 2 (/.f64 1/2 x)))
(/.f64 1 (fma.f64 -2 x (/.f64 -1/2 x)))
(neg.f64 (/.f64 1 (fma.f64 2 x (/.f64 1/2 x))))
(/.f64 -1 (fma.f64 x 2 (/.f64 1/2 x)))
(/.f64 1 (fma.f64 -2 x (/.f64 -1/2 x)))
(sqrt.f64 (pow.f64 (fma.f64 2 x (/.f64 1/2 x)) -2))
(sqrt.f64 (pow.f64 (fma.f64 x 2 (/.f64 1/2 x)) -2))
(/.f64 1 (fma.f64 x 2 (/.f64 1/2 x)))
(log.f64 (exp.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))))
(/.f64 -1 (fma.f64 x 2 (/.f64 1/2 x)))
(/.f64 1 (fma.f64 -2 x (/.f64 -1/2 x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))))
(/.f64 -1 (fma.f64 x 2 (/.f64 1/2 x)))
(/.f64 1 (fma.f64 -2 x (/.f64 -1/2 x)))
(log.f64 (/.f64 1 (exp.f64 (/.f64 1 (fma.f64 2 x (/.f64 1/2 x))))))
(/.f64 -1 (fma.f64 x 2 (/.f64 1/2 x)))
(/.f64 1 (fma.f64 -2 x (/.f64 -1/2 x)))
(cbrt.f64 (pow.f64 (neg.f64 (fma.f64 2 x (/.f64 1/2 x))) -3))
(/.f64 -1 (fma.f64 x 2 (/.f64 1/2 x)))
(/.f64 1 (fma.f64 -2 x (/.f64 -1/2 x)))
(expm1.f64 (log1p.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))))
(/.f64 -1 (fma.f64 x 2 (/.f64 1/2 x)))
(/.f64 1 (fma.f64 -2 x (/.f64 -1/2 x)))
(exp.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))))
(/.f64 -1 (fma.f64 x 2 (/.f64 1/2 x)))
(/.f64 1 (fma.f64 -2 x (/.f64 -1/2 x)))
(exp.f64 (*.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))) 1))
(/.f64 -1 (fma.f64 x 2 (/.f64 1/2 x)))
(/.f64 1 (fma.f64 -2 x (/.f64 -1/2 x)))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))) 1) 1))
(/.f64 -1 (fma.f64 x 2 (/.f64 1/2 x)))
(/.f64 1 (fma.f64 -2 x (/.f64 -1/2 x)))
(exp.f64 (*.f64 (log.f64 (/.f64 -1 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x))))) 3))
(/.f64 -1 (fma.f64 x 2 (/.f64 1/2 x)))
(/.f64 1 (fma.f64 -2 x (/.f64 -1/2 x)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (neg.f64 (fma.f64 2 x (/.f64 1/2 x))) -3)) 1/3))
(/.f64 -1 (fma.f64 x 2 (/.f64 1/2 x)))
(/.f64 1 (fma.f64 -2 x (/.f64 -1/2 x)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (neg.f64 (fma.f64 2 x (/.f64 1/2 x))) -1/2)) 2))
(/.f64 -1 (fma.f64 x 2 (/.f64 1/2 x)))
(/.f64 1 (fma.f64 -2 x (/.f64 -1/2 x)))
(exp.f64 (*.f64 (log.f64 (neg.f64 (fma.f64 2 x (/.f64 1/2 x)))) -1))
(/.f64 -1 (fma.f64 x 2 (/.f64 1/2 x)))
(/.f64 1 (fma.f64 -2 x (/.f64 -1/2 x)))
(log1p.f64 (expm1.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))))
(/.f64 -1 (fma.f64 x 2 (/.f64 1/2 x)))
(/.f64 1 (fma.f64 -2 x (/.f64 -1/2 x)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 2 x (/.f64 1/2 x)))) 1)
(fma.f64 x 2 (/.f64 1/2 x))
(-.f64 (/.f64 (pow.f64 (+.f64 x x) 2) (-.f64 (+.f64 x x) (/.f64 1/2 x))) (/.f64 (*.f64 (pow.f64 x -2) 1/4) (-.f64 (+.f64 x x) (/.f64 1/2 x))))
(/.f64 (-.f64 (pow.f64 (+.f64 x x) 2) (*.f64 (pow.f64 x -2) 1/4)) (+.f64 x (-.f64 x (/.f64 1/2 x))))
(/.f64 (+.f64 (*.f64 (*.f64 x x) 4) (*.f64 (pow.f64 x -2) -1/4)) (fma.f64 x 2 (/.f64 -1/2 x)))
(/.f64 (fma.f64 (pow.f64 x -2) -1/4 (pow.f64 (+.f64 x x) 2)) (fma.f64 x 2 (/.f64 -1/2 x)))
(*.f64 1 (fma.f64 2 x (/.f64 1/2 x)))
(fma.f64 x 2 (/.f64 1/2 x))
(*.f64 (fma.f64 2 x (/.f64 1/2 x)) 1)
(fma.f64 x 2 (/.f64 1/2 x))
(*.f64 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x))) (pow.f64 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x))) 2))
(fma.f64 x 2 (/.f64 1/2 x))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x))) 2) (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x))))
(fma.f64 x 2 (/.f64 1/2 x))
(*.f64 (sqrt.f64 (fma.f64 2 x (/.f64 1/2 x))) (sqrt.f64 (fma.f64 2 x (/.f64 1/2 x))))
(fma.f64 x 2 (/.f64 1/2 x))
(*.f64 (fma.f64 (pow.f64 x 3) 8 (*.f64 (pow.f64 x -3) 1/8)) (/.f64 1 (fma.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) (+.f64 x x)) (pow.f64 (+.f64 x x) 2))))
(*.f64 (fma.f64 (pow.f64 x 3) 8 (*.f64 1/8 (pow.f64 x -3))) (/.f64 1 (fma.f64 (/.f64 1/2 x) (-.f64 (-.f64 (/.f64 1/2 x) x) x) (pow.f64 (+.f64 x x) 2))))
(/.f64 (fma.f64 8 (pow.f64 x 3) (*.f64 1/8 (pow.f64 x -3))) (fma.f64 (/.f64 1/2 x) (-.f64 (-.f64 (/.f64 1/2 x) x) x) (*.f64 (*.f64 x x) 4)))
(/.f64 (fma.f64 8 (pow.f64 x 3) (*.f64 1/8 (pow.f64 x -3))) (fma.f64 (pow.f64 x -2) 1/4 (fma.f64 (*.f64 x x) 4 -1)))
(*.f64 (-.f64 (pow.f64 (+.f64 x x) 2) (*.f64 (pow.f64 x -2) 1/4)) (/.f64 1 (-.f64 (+.f64 x x) (/.f64 1/2 x))))
(/.f64 (-.f64 (pow.f64 (+.f64 x x) 2) (*.f64 (pow.f64 x -2) 1/4)) (+.f64 x (-.f64 x (/.f64 1/2 x))))
(/.f64 (+.f64 (*.f64 (*.f64 x x) 4) (*.f64 (pow.f64 x -2) -1/4)) (fma.f64 x 2 (/.f64 -1/2 x)))
(/.f64 (fma.f64 (pow.f64 x -2) -1/4 (pow.f64 (+.f64 x x) 2)) (fma.f64 x 2 (/.f64 -1/2 x)))
(/.f64 1 (/.f64 (fma.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) (+.f64 x x)) (pow.f64 (+.f64 x x) 2)) (fma.f64 (pow.f64 x 3) 8 (*.f64 (pow.f64 x -3) 1/8))))
(*.f64 (fma.f64 (pow.f64 x 3) 8 (*.f64 1/8 (pow.f64 x -3))) (/.f64 1 (fma.f64 (/.f64 1/2 x) (-.f64 (-.f64 (/.f64 1/2 x) x) x) (pow.f64 (+.f64 x x) 2))))
(/.f64 (fma.f64 8 (pow.f64 x 3) (*.f64 1/8 (pow.f64 x -3))) (fma.f64 (/.f64 1/2 x) (-.f64 (-.f64 (/.f64 1/2 x) x) x) (*.f64 (*.f64 x x) 4)))
(/.f64 (fma.f64 8 (pow.f64 x 3) (*.f64 1/8 (pow.f64 x -3))) (fma.f64 (pow.f64 x -2) 1/4 (fma.f64 (*.f64 x x) 4 -1)))
(/.f64 1 (/.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)) (-.f64 (pow.f64 (+.f64 x x) 2) (*.f64 (pow.f64 x -2) 1/4))))
(/.f64 (-.f64 (pow.f64 (+.f64 x x) 2) (*.f64 (pow.f64 x -2) 1/4)) (+.f64 x (-.f64 x (/.f64 1/2 x))))
(/.f64 (+.f64 (*.f64 (*.f64 x x) 4) (*.f64 (pow.f64 x -2) -1/4)) (fma.f64 x 2 (/.f64 -1/2 x)))
(/.f64 (fma.f64 (pow.f64 x -2) -1/4 (pow.f64 (+.f64 x x) 2)) (fma.f64 x 2 (/.f64 -1/2 x)))
(/.f64 (fma.f64 (pow.f64 x 3) 8 (*.f64 (pow.f64 x -3) 1/8)) (fma.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) (+.f64 x x)) (pow.f64 (+.f64 x x) 2)))
(*.f64 (fma.f64 (pow.f64 x 3) 8 (*.f64 1/8 (pow.f64 x -3))) (/.f64 1 (fma.f64 (/.f64 1/2 x) (-.f64 (-.f64 (/.f64 1/2 x) x) x) (pow.f64 (+.f64 x x) 2))))
(/.f64 (fma.f64 8 (pow.f64 x 3) (*.f64 1/8 (pow.f64 x -3))) (fma.f64 (/.f64 1/2 x) (-.f64 (-.f64 (/.f64 1/2 x) x) x) (*.f64 (*.f64 x x) 4)))
(/.f64 (fma.f64 8 (pow.f64 x 3) (*.f64 1/8 (pow.f64 x -3))) (fma.f64 (pow.f64 x -2) 1/4 (fma.f64 (*.f64 x x) 4 -1)))
(/.f64 (fma.f64 (pow.f64 x 3) 8 (*.f64 (pow.f64 x -3) 1/8)) (fma.f64 (pow.f64 x -2) 1/4 (-.f64 (pow.f64 (+.f64 x x) 2) (*.f64 2 (*.f64 x (/.f64 1/2 x))))))
(*.f64 (fma.f64 (pow.f64 x 3) 8 (*.f64 1/8 (pow.f64 x -3))) (/.f64 1 (fma.f64 (/.f64 1/2 x) (-.f64 (-.f64 (/.f64 1/2 x) x) x) (pow.f64 (+.f64 x x) 2))))
(/.f64 (fma.f64 8 (pow.f64 x 3) (*.f64 1/8 (pow.f64 x -3))) (fma.f64 (/.f64 1/2 x) (-.f64 (-.f64 (/.f64 1/2 x) x) x) (*.f64 (*.f64 x x) 4)))
(/.f64 (fma.f64 8 (pow.f64 x 3) (*.f64 1/8 (pow.f64 x -3))) (fma.f64 (pow.f64 x -2) 1/4 (fma.f64 (*.f64 x x) 4 -1)))
(/.f64 (-.f64 (pow.f64 (+.f64 x x) 2) (*.f64 (pow.f64 x -2) 1/4)) (-.f64 (+.f64 x x) (/.f64 1/2 x)))
(/.f64 (-.f64 (pow.f64 (+.f64 x x) 2) (*.f64 (pow.f64 x -2) 1/4)) (+.f64 x (-.f64 x (/.f64 1/2 x))))
(/.f64 (+.f64 (*.f64 (*.f64 x x) 4) (*.f64 (pow.f64 x -2) -1/4)) (fma.f64 x 2 (/.f64 -1/2 x)))
(/.f64 (fma.f64 (pow.f64 x -2) -1/4 (pow.f64 (+.f64 x x) 2)) (fma.f64 x 2 (/.f64 -1/2 x)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 3) 8 (*.f64 (pow.f64 x -3) 1/8))) (neg.f64 (fma.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) (+.f64 x x)) (pow.f64 (+.f64 x x) 2))))
(*.f64 (fma.f64 (pow.f64 x 3) 8 (*.f64 1/8 (pow.f64 x -3))) (/.f64 1 (fma.f64 (/.f64 1/2 x) (-.f64 (-.f64 (/.f64 1/2 x) x) x) (pow.f64 (+.f64 x x) 2))))
(/.f64 (fma.f64 8 (pow.f64 x 3) (*.f64 1/8 (pow.f64 x -3))) (fma.f64 (/.f64 1/2 x) (-.f64 (-.f64 (/.f64 1/2 x) x) x) (*.f64 (*.f64 x x) 4)))
(/.f64 (fma.f64 8 (pow.f64 x 3) (*.f64 1/8 (pow.f64 x -3))) (fma.f64 (pow.f64 x -2) 1/4 (fma.f64 (*.f64 x x) 4 -1)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x x) 2) (*.f64 (pow.f64 x -2) 1/4))) (neg.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))))
(/.f64 (-.f64 (pow.f64 (+.f64 x x) 2) (*.f64 (pow.f64 x -2) 1/4)) (+.f64 x (-.f64 x (/.f64 1/2 x))))
(/.f64 (+.f64 (*.f64 (*.f64 x x) 4) (*.f64 (pow.f64 x -2) -1/4)) (fma.f64 x 2 (/.f64 -1/2 x)))
(/.f64 (fma.f64 (pow.f64 x -2) -1/4 (pow.f64 (+.f64 x x) 2)) (fma.f64 x 2 (/.f64 -1/2 x)))
(/.f64 (-.f64 (*.f64 (pow.f64 x -2) 1/4) (pow.f64 (+.f64 x x) 2)) (-.f64 (/.f64 1/2 x) (+.f64 x x)))
(/.f64 (-.f64 (pow.f64 (+.f64 x x) 2) (*.f64 (pow.f64 x -2) 1/4)) (+.f64 x (-.f64 x (/.f64 1/2 x))))
(/.f64 (+.f64 (*.f64 (*.f64 x x) 4) (*.f64 (pow.f64 x -2) -1/4)) (fma.f64 x 2 (/.f64 -1/2 x)))
(/.f64 (fma.f64 (pow.f64 x -2) -1/4 (pow.f64 (+.f64 x x) 2)) (fma.f64 x 2 (/.f64 -1/2 x)))
(pow.f64 (fma.f64 2 x (/.f64 1/2 x)) 1)
(fma.f64 x 2 (/.f64 1/2 x))
(pow.f64 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x))) 3)
(fma.f64 x 2 (/.f64 1/2 x))
(pow.f64 (pow.f64 (fma.f64 2 x (/.f64 1/2 x)) 2) 1/2)
(fma.f64 x 2 (/.f64 1/2 x))
(pow.f64 (pow.f64 (fma.f64 2 x (/.f64 1/2 x)) 3) 1/3)
(fma.f64 x 2 (/.f64 1/2 x))
(pow.f64 (sqrt.f64 (fma.f64 2 x (/.f64 1/2 x))) 2)
(fma.f64 x 2 (/.f64 1/2 x))
(pow.f64 (/.f64 (fma.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) (+.f64 x x)) (pow.f64 (+.f64 x x) 2)) (fma.f64 (pow.f64 x 3) 8 (*.f64 (pow.f64 x -3) 1/8))) -1)
(*.f64 (fma.f64 (pow.f64 x 3) 8 (*.f64 1/8 (pow.f64 x -3))) (/.f64 1 (fma.f64 (/.f64 1/2 x) (-.f64 (-.f64 (/.f64 1/2 x) x) x) (pow.f64 (+.f64 x x) 2))))
(/.f64 (fma.f64 8 (pow.f64 x 3) (*.f64 1/8 (pow.f64 x -3))) (fma.f64 (/.f64 1/2 x) (-.f64 (-.f64 (/.f64 1/2 x) x) x) (*.f64 (*.f64 x x) 4)))
(/.f64 (fma.f64 8 (pow.f64 x 3) (*.f64 1/8 (pow.f64 x -3))) (fma.f64 (pow.f64 x -2) 1/4 (fma.f64 (*.f64 x x) 4 -1)))
(pow.f64 (/.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)) (-.f64 (pow.f64 (+.f64 x x) 2) (*.f64 (pow.f64 x -2) 1/4))) -1)
(/.f64 (-.f64 (pow.f64 (+.f64 x x) 2) (*.f64 (pow.f64 x -2) 1/4)) (+.f64 x (-.f64 x (/.f64 1/2 x))))
(/.f64 (+.f64 (*.f64 (*.f64 x x) 4) (*.f64 (pow.f64 x -2) -1/4)) (fma.f64 x 2 (/.f64 -1/2 x)))
(/.f64 (fma.f64 (pow.f64 x -2) -1/4 (pow.f64 (+.f64 x x) 2)) (fma.f64 x 2 (/.f64 -1/2 x)))
(sqrt.f64 (pow.f64 (fma.f64 2 x (/.f64 1/2 x)) 2))
(fma.f64 x 2 (/.f64 1/2 x))
(log.f64 (exp.f64 (fma.f64 2 x (/.f64 1/2 x))))
(fma.f64 x 2 (/.f64 1/2 x))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 2 x (/.f64 1/2 x)))))
(fma.f64 x 2 (/.f64 1/2 x))
(log.f64 (*.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (expm1.f64 (/.f64 1/2 x)))))
(fma.f64 x 2 (/.f64 1/2 x))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 x x))) (exp.f64 (/.f64 1/2 x))))
(fma.f64 x 2 (/.f64 1/2 x))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 x x))) (+.f64 1 (expm1.f64 (/.f64 1/2 x)))))
(fma.f64 x 2 (/.f64 1/2 x))
(log.f64 (*.f64 (exp.f64 (/.f64 1/2 x)) (+.f64 1 (expm1.f64 (+.f64 x x)))))
(fma.f64 x 2 (/.f64 1/2 x))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 1/2 x))) (pow.f64 (exp.f64 x) 2)))
(fma.f64 x 2 (/.f64 1/2 x))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 1/2 x))) (+.f64 1 (expm1.f64 (+.f64 x x)))))
(fma.f64 x 2 (/.f64 1/2 x))
(cbrt.f64 (pow.f64 (fma.f64 2 x (/.f64 1/2 x)) 3))
(fma.f64 x 2 (/.f64 1/2 x))
(expm1.f64 (log1p.f64 (fma.f64 2 x (/.f64 1/2 x))))
(fma.f64 x 2 (/.f64 1/2 x))
(exp.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x))))
(fma.f64 x 2 (/.f64 1/2 x))
(exp.f64 (*.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x))) 1))
(fma.f64 x 2 (/.f64 1/2 x))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x))) 1) 1))
(fma.f64 x 2 (/.f64 1/2 x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x)))) 3))
(fma.f64 x 2 (/.f64 1/2 x))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 2 x (/.f64 1/2 x)) 3)) 1/3))
(fma.f64 x 2 (/.f64 1/2 x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 2 x (/.f64 1/2 x)))) 2))
(fma.f64 x 2 (/.f64 1/2 x))
(log1p.f64 (expm1.f64 (fma.f64 2 x (/.f64 1/2 x))))
(fma.f64 x 2 (/.f64 1/2 x))
(fma.f64 2 x (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(fma.f64 (+.f64 x x) 1 (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(fma.f64 1/2 (/.f64 1 x) (+.f64 x x))
(fma.f64 x 2 (/.f64 1/2 x))
(fma.f64 1 (+.f64 x x) (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(fma.f64 1 (/.f64 1/2 x) (+.f64 x x))
(fma.f64 x 2 (/.f64 1/2 x))
(fma.f64 (/.f64 1 x) 1/2 (+.f64 x x))
(fma.f64 x 2 (/.f64 1/2 x))
(fma.f64 (/.f64 1/2 x) 1 (+.f64 x x))
(fma.f64 x 2 (/.f64 1/2 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 2) (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 (/.f64 1 (cbrt.f64 x)) 1/2) (+.f64 x x))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1/2 (cbrt.f64 x)) (+.f64 x x))
(+.f64 x (fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1/2 (cbrt.f64 x)) x))
(fma.f64 (cbrt.f64 (+.f64 x x)) (cbrt.f64 (pow.f64 (+.f64 x x) 2)) (/.f64 1/2 x))
(fma.f64 (cbrt.f64 (+.f64 x x)) (cbrt.f64 (*.f64 (*.f64 x x) 4)) (/.f64 1/2 x))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 x x) 2)) (cbrt.f64 (+.f64 x x)) (/.f64 1/2 x))
(fma.f64 (cbrt.f64 (+.f64 x x)) (cbrt.f64 (pow.f64 (+.f64 x x) 2)) (/.f64 1/2 x))
(fma.f64 (cbrt.f64 (+.f64 x x)) (cbrt.f64 (*.f64 (*.f64 x x) 4)) (/.f64 1/2 x))
(fma.f64 (cbrt.f64 (/.f64 1/2 x)) (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2) (+.f64 x x))
(fma.f64 x 2 (/.f64 1/2 x))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2) (cbrt.f64 (/.f64 1/2 x)) (+.f64 x x))
(fma.f64 x 2 (/.f64 1/2 x))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 2) (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(fma.f64 (pow.f64 x -1/2) (*.f64 (pow.f64 x -1/2) 1/2) (+.f64 x x))
(fma.f64 x 2 (/.f64 1/2 x))
(fma.f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 (+.f64 x x)) (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(fma.f64 (sqrt.f64 (/.f64 1/2 x)) (sqrt.f64 (/.f64 1/2 x)) (+.f64 x x))
(fma.f64 x 2 (/.f64 1/2 x))
(fma.f64 (*.f64 2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(fma.f64 (*.f64 2 (sqrt.f64 x)) (sqrt.f64 x) (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(fma.f64 (*.f64 1/2 (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x)) (+.f64 x x))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1/2 (cbrt.f64 x)) (+.f64 x x))
(+.f64 x (fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1/2 (cbrt.f64 x)) x))
(fma.f64 (*.f64 1/2 (pow.f64 x -1/2)) (pow.f64 x -1/2) (+.f64 x x))
(fma.f64 x 2 (/.f64 1/2 x))

localize221.0ms (2.3%)

Local Accuracy

Found 2 expressions with local accuracy:

NewAccuracyProgram
78.0%
(-.f64 (hypot.f64 1 x) x)
52.8%
(log.f64 (-.f64 (hypot.f64 1 x) x))
Compiler

Compiled 25 to 17 computations (32% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@0
(log.f64 (-.f64 (hypot.f64 1 x) x))
0.0ms
x
@-inf
(log.f64 (-.f64 (hypot.f64 1 x) x))
0.0ms
x
@inf
(log.f64 (-.f64 (hypot.f64 1 x) x))
0.0ms
x
@inf
(-.f64 (hypot.f64 1 x) x)
0.0ms
x
@-inf
(-.f64 (hypot.f64 1 x) x)

rewrite65.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
1610×pow1
1484×add-exp-log
1484×log1p-expm1-u
1484×expm1-log1p-u
1448×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0830
115930
2200830
Stop Event
node limit
Counts
2 → 59
Calls
Call 1
Inputs
(log.f64 (-.f64 (hypot.f64 1 x) x))
(-.f64 (hypot.f64 1 x) x)
Outputs
(+.f64 0 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2)) (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
(+.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))) (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))))
(-.f64 (log.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (log.f64 (+.f64 (+.f64 1 (*.f64 x x)) (*.f64 x (+.f64 x (hypot.f64 1 x))))))
(-.f64 (log.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x))) (log.f64 (+.f64 x (hypot.f64 1 x))))
(-.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1)
(*.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 1)
(*.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (cbrt.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2)) (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(*.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 1)
(pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3)
(pow.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2)
(sqrt.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2))
(cbrt.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3))
(expm1.f64 (log1p.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(exp.f64 (log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(log1p.f64 (-.f64 (-.f64 (hypot.f64 1 x) x) 1))
(+.f64 1 (-.f64 (-.f64 (hypot.f64 1 x) x) 1))
(+.f64 (hypot.f64 1 x) (neg.f64 x))
(+.f64 (hypot.f64 1 x) (*.f64 (neg.f64 x) 1))
(+.f64 (-.f64 (hypot.f64 1 x) x) (fma.f64 (neg.f64 x) 1 x))
(+.f64 (-.f64 (hypot.f64 1 x) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(+.f64 (-.f64 (hypot.f64 1 x) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(+.f64 (neg.f64 x) (hypot.f64 1 x))
(*.f64 1 (-.f64 (hypot.f64 1 x) x))
(*.f64 (-.f64 (hypot.f64 1 x) x) 1)
(*.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2) (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (+.f64 1 (*.f64 x x)) (*.f64 x (+.f64 x (hypot.f64 1 x))))))
(*.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x)) (/.f64 1 (+.f64 x (hypot.f64 1 x))))
(*.f64 (+.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)))
(/.f64 1 (/.f64 (+.f64 (+.f64 1 (*.f64 x x)) (*.f64 x (+.f64 x (hypot.f64 1 x)))) (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))))
(/.f64 1 (/.f64 (+.f64 x (hypot.f64 1 x)) (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x))))
(/.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (+.f64 (+.f64 1 (*.f64 x x)) (*.f64 x (+.f64 x (hypot.f64 1 x)))))
(/.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x)) (+.f64 x (hypot.f64 1 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (+.f64 1 (*.f64 x x)) (*.f64 x (+.f64 x (hypot.f64 1 x))))))
(/.f64 (neg.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x))) (neg.f64 (+.f64 x (hypot.f64 1 x))))
(/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (neg.f64 x) 3)) (+.f64 (+.f64 1 (*.f64 x x)) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (hypot.f64 1 x) (neg.f64 x)))))
(/.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (hypot.f64 1 x) (neg.f64 x)))
(pow.f64 (-.f64 (hypot.f64 1 x) x) 1)
(pow.f64 (E.f64) (log.f64 (-.f64 (hypot.f64 1 x) x)))
(pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 3)
(pow.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) 2)
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2))) (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(sqrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 2))
(log.f64 (exp.f64 (-.f64 (hypot.f64 1 x) x)))
(cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 3))
(expm1.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) x)))
(exp.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(log1p.f64 (expm1.f64 (-.f64 (hypot.f64 1 x) x)))
(fma.f64 1 (hypot.f64 1 x) (neg.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 x)) 2) (cbrt.f64 (hypot.f64 1 x)) (neg.f64 x))
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) (neg.f64 x))

simplify109.0ms (1.2%)

Algorithm
egg-herbie
Rules
724×log-prod
694×unswap-sqr
564×fma-neg
540×associate-+l+
454×associate-/r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02242687
16022219
220522051
376992051
Stop Event
node limit
Counts
83 → 148
Calls
Call 1
Inputs
(*.f64 -1 x)
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 -1 x))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1 x) (*.f64 -3/40 (pow.f64 x 5))))
(+.f64 (*.f64 5/112 (pow.f64 x 7)) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1 x) (*.f64 -3/40 (pow.f64 x 5)))))
(+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))
(-.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 (/.f64 1 x)) (+.f64 (log.f64 1/2) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 (/.f64 1 x)) (+.f64 (log.f64 1/2) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
1
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1 x) (*.f64 -1/8 (pow.f64 x 4)))))
(/.f64 1/2 x)
(-.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 5/128 (/.f64 1 (pow.f64 x 7)))))
(*.f64 -2 x)
(-.f64 (*.f64 -2 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -2 x) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -2 x) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/16 (/.f64 1 (pow.f64 x 5)))))
(+.f64 0 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2)) (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
(+.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))) (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))))
(-.f64 (log.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (log.f64 (+.f64 (+.f64 1 (*.f64 x x)) (*.f64 x (+.f64 x (hypot.f64 1 x))))))
(-.f64 (log.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x))) (log.f64 (+.f64 x (hypot.f64 1 x))))
(-.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1)
(*.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 1)
(*.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (cbrt.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2)) (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(*.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 1)
(pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3)
(pow.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2)
(sqrt.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2))
(cbrt.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3))
(expm1.f64 (log1p.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(exp.f64 (log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(log1p.f64 (-.f64 (-.f64 (hypot.f64 1 x) x) 1))
(+.f64 1 (-.f64 (-.f64 (hypot.f64 1 x) x) 1))
(+.f64 (hypot.f64 1 x) (neg.f64 x))
(+.f64 (hypot.f64 1 x) (*.f64 (neg.f64 x) 1))
(+.f64 (-.f64 (hypot.f64 1 x) x) (fma.f64 (neg.f64 x) 1 x))
(+.f64 (-.f64 (hypot.f64 1 x) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(+.f64 (-.f64 (hypot.f64 1 x) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(+.f64 (neg.f64 x) (hypot.f64 1 x))
(*.f64 1 (-.f64 (hypot.f64 1 x) x))
(*.f64 (-.f64 (hypot.f64 1 x) x) 1)
(*.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2) (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (+.f64 1 (*.f64 x x)) (*.f64 x (+.f64 x (hypot.f64 1 x))))))
(*.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x)) (/.f64 1 (+.f64 x (hypot.f64 1 x))))
(*.f64 (+.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)))
(/.f64 1 (/.f64 (+.f64 (+.f64 1 (*.f64 x x)) (*.f64 x (+.f64 x (hypot.f64 1 x)))) (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))))
(/.f64 1 (/.f64 (+.f64 x (hypot.f64 1 x)) (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x))))
(/.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (+.f64 (+.f64 1 (*.f64 x x)) (*.f64 x (+.f64 x (hypot.f64 1 x)))))
(/.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x)) (+.f64 x (hypot.f64 1 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (+.f64 1 (*.f64 x x)) (*.f64 x (+.f64 x (hypot.f64 1 x))))))
(/.f64 (neg.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x))) (neg.f64 (+.f64 x (hypot.f64 1 x))))
(/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (neg.f64 x) 3)) (+.f64 (+.f64 1 (*.f64 x x)) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (hypot.f64 1 x) (neg.f64 x)))))
(/.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (hypot.f64 1 x) (neg.f64 x)))
(pow.f64 (-.f64 (hypot.f64 1 x) x) 1)
(pow.f64 (E.f64) (log.f64 (-.f64 (hypot.f64 1 x) x)))
(pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 3)
(pow.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) 2)
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2))) (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(sqrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 2))
(log.f64 (exp.f64 (-.f64 (hypot.f64 1 x) x)))
(cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 3))
(expm1.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) x)))
(exp.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(log1p.f64 (expm1.f64 (-.f64 (hypot.f64 1 x) x)))
(fma.f64 1 (hypot.f64 1 x) (neg.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 x)) 2) (cbrt.f64 (hypot.f64 1 x)) (neg.f64 x))
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) (neg.f64 x))
Outputs
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 -1 x))
(fma.f64 1/6 (pow.f64 x 3) (neg.f64 x))
(-.f64 (*.f64 1/6 (pow.f64 x 3)) x)
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1 x) (*.f64 -3/40 (pow.f64 x 5))))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1 x (*.f64 -3/40 (pow.f64 x 5))))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 -3/40 (pow.f64 x 5) (neg.f64 x)))
(+.f64 (*.f64 5/112 (pow.f64 x 7)) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1 x) (*.f64 -3/40 (pow.f64 x 5)))))
(fma.f64 5/112 (pow.f64 x 7) (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1 x (*.f64 -3/40 (pow.f64 x 5)))))
(fma.f64 5/112 (pow.f64 x 7) (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -3/40 (pow.f64 x 5) (neg.f64 x))))
(+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))
(+.f64 (neg.f64 (log.f64 x)) (log.f64 1/2))
(-.f64 (log.f64 1/2) (log.f64 x))
(-.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (neg.f64 (log.f64 x)) (-.f64 (log.f64 1/2) (/.f64 1/4 (*.f64 x x))))
(+.f64 (-.f64 (log.f64 1/2) (log.f64 x)) (/.f64 -1/4 (*.f64 x x)))
(-.f64 (log.f64 1/2) (+.f64 (log.f64 x) (/.f64 1/4 (*.f64 x x))))
(-.f64 (+.f64 (log.f64 (/.f64 1 x)) (+.f64 (log.f64 1/2) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (neg.f64 (log.f64 x)) (-.f64 (+.f64 (log.f64 1/2) (/.f64 3/32 (pow.f64 x 4))) (/.f64 1/4 (*.f64 x x))))
(+.f64 (-.f64 (log.f64 1/2) (log.f64 x)) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (/.f64 -1/4 (*.f64 x x))))
(+.f64 (log.f64 1/2) (+.f64 (-.f64 (/.f64 3/32 (pow.f64 x 4)) (log.f64 x)) (/.f64 (/.f64 -1/4 x) x)))
(-.f64 (+.f64 (log.f64 (/.f64 1 x)) (+.f64 (log.f64 1/2) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (neg.f64 (log.f64 x)) (-.f64 (+.f64 (log.f64 1/2) (/.f64 3/32 (pow.f64 x 4))) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6)))))
(+.f64 (-.f64 (log.f64 1/2) (log.f64 x)) (-.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6)))))
(+.f64 (-.f64 (log.f64 1/2) (log.f64 x)) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (-.f64 (/.f64 (/.f64 -1/4 x) x) (/.f64 5/96 (pow.f64 x 6)))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 2))
(-.f64 (log.f64 2) (log.f64 (/.f64 -1 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 2)) (/.f64 1/4 (*.f64 x x)))
(-.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (log.f64 2)) (log.f64 (/.f64 -1 x)))
(+.f64 (/.f64 1/4 (*.f64 x x)) (-.f64 (log.f64 2) (log.f64 (/.f64 -1 x))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 2)) (/.f64 1/4 (*.f64 x x))) (/.f64 3/32 (pow.f64 x 4)))
(+.f64 (-.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (log.f64 2)) (log.f64 (/.f64 -1 x))) (/.f64 -3/32 (pow.f64 x 4)))
(-.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (log.f64 2)) (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 3/32 (pow.f64 x 4))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 2)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6)))) (/.f64 3/32 (pow.f64 x 4)))
(+.f64 (-.f64 (log.f64 2) (log.f64 (/.f64 -1 x))) (+.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6))) (/.f64 -3/32 (pow.f64 x 4))))
(+.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (-.f64 (+.f64 (/.f64 5/96 (pow.f64 x 6)) (log.f64 2)) (log.f64 (/.f64 -1 x)))) (/.f64 -3/32 (pow.f64 x 4)))
1
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (neg.f64 x))
(-.f64 1 x)
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(+.f64 1 (-.f64 (*.f64 x (*.f64 x 1/2)) x))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1 x) (*.f64 -1/8 (pow.f64 x 4)))))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (fma.f64 -1 x (*.f64 (pow.f64 x 4) -1/8))))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (fma.f64 (pow.f64 x 4) -1/8 (neg.f64 x))))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (-.f64 (*.f64 (pow.f64 x 4) -1/8) x)))
(/.f64 1/2 x)
(-.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3)))
(+.f64 (/.f64 1/2 x) (/.f64 -1/8 (pow.f64 x 3)))
(-.f64 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1/16 (pow.f64 x 5)) (-.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3))))
(+.f64 (/.f64 1/2 x) (+.f64 (/.f64 1/16 (pow.f64 x 5)) (/.f64 -1/8 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 1/2 x) (/.f64 -1/8 (pow.f64 x 3))) (/.f64 1/16 (pow.f64 x 5)))
(-.f64 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 5/128 (/.f64 1 (pow.f64 x 7)))))
(+.f64 (/.f64 1/16 (pow.f64 x 5)) (-.f64 (/.f64 1/2 x) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 5/128 (pow.f64 x 7)))))
(-.f64 (+.f64 (/.f64 1/2 x) (+.f64 (/.f64 1/16 (pow.f64 x 5)) (/.f64 -1/8 (pow.f64 x 3)))) (/.f64 5/128 (pow.f64 x 7)))
(+.f64 (/.f64 1/16 (pow.f64 x 5)) (-.f64 (+.f64 (/.f64 1/2 x) (/.f64 -1/8 (pow.f64 x 3))) (/.f64 5/128 (pow.f64 x 7))))
(*.f64 -2 x)
(*.f64 x -2)
(-.f64 (*.f64 -2 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 x -2) (/.f64 1/2 x))
(fma.f64 x -2 (/.f64 -1/2 x))
(-.f64 (+.f64 (*.f64 -2 x) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (fma.f64 -2 x (/.f64 1/8 (pow.f64 x 3))) (/.f64 1/2 x))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (fma.f64 x -2 (/.f64 -1/2 x)))
(-.f64 (+.f64 (*.f64 -2 x) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/16 (/.f64 1 (pow.f64 x 5)))))
(-.f64 (-.f64 (fma.f64 -2 x (/.f64 1/8 (pow.f64 x 3))) (/.f64 1/2 x)) (/.f64 1/16 (pow.f64 x 5)))
(-.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (fma.f64 x -2 (/.f64 -1/2 x))) (/.f64 1/16 (pow.f64 x 5)))
(+.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (fma.f64 x -2 (/.f64 -1/2 x))) (/.f64 -1/16 (pow.f64 x 5)))
(+.f64 0 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(log.f64 (-.f64 (hypot.f64 1 x) x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2)) (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
(log.f64 (-.f64 (hypot.f64 1 x) x))
(+.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))) (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))))
(log.f64 (-.f64 (hypot.f64 1 x) x))
(-.f64 (log.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (log.f64 (+.f64 (+.f64 1 (*.f64 x x)) (*.f64 x (+.f64 x (hypot.f64 1 x))))))
(-.f64 (log.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (log.f64 (+.f64 1 (+.f64 (*.f64 x x) (*.f64 x (+.f64 x (hypot.f64 1 x)))))))
(-.f64 (log.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (log1p.f64 (*.f64 x (+.f64 x (+.f64 x (hypot.f64 1 x))))))
(-.f64 (log.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (log1p.f64 (*.f64 x (+.f64 (+.f64 x x) (hypot.f64 1 x)))))
(-.f64 (log.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x))) (log.f64 (+.f64 x (hypot.f64 1 x))))
(-.f64 (log.f64 (+.f64 1 (-.f64 (*.f64 x x) (*.f64 x x)))) (log.f64 (+.f64 x (hypot.f64 1 x))))
(neg.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(-.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1)
(log.f64 (-.f64 (hypot.f64 1 x) x))
(*.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(log.f64 (-.f64 (hypot.f64 1 x) x))
(*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 1)
(log.f64 (-.f64 (hypot.f64 1 x) x))
(*.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (cbrt.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2)) (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(*.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (cbrt.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2)))
(*.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(log.f64 (-.f64 (hypot.f64 1 x) x))
(pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 1)
(log.f64 (-.f64 (hypot.f64 1 x) x))
(pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3)
(log.f64 (-.f64 (hypot.f64 1 x) x))
(pow.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3) 1/3)
(log.f64 (-.f64 (hypot.f64 1 x) x))
(pow.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2)
(log.f64 (-.f64 (hypot.f64 1 x) x))
(sqrt.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2))
(log.f64 (-.f64 (hypot.f64 1 x) x))
(cbrt.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3))
(log.f64 (-.f64 (hypot.f64 1 x) x))
(expm1.f64 (log1p.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(log.f64 (-.f64 (hypot.f64 1 x) x))
(exp.f64 (log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(log.f64 (-.f64 (hypot.f64 1 x) x))
(log1p.f64 (-.f64 (-.f64 (hypot.f64 1 x) x) 1))
(log.f64 (-.f64 (hypot.f64 1 x) x))
(+.f64 1 (-.f64 (-.f64 (hypot.f64 1 x) x) 1))
(+.f64 1 (-.f64 (hypot.f64 1 x) (+.f64 x 1)))
(+.f64 (-.f64 (hypot.f64 1 x) x) 0)
(-.f64 (hypot.f64 1 x) x)
(+.f64 (hypot.f64 1 x) (neg.f64 x))
(+.f64 1 (-.f64 (hypot.f64 1 x) (+.f64 x 1)))
(+.f64 (-.f64 (hypot.f64 1 x) x) 0)
(-.f64 (hypot.f64 1 x) x)
(+.f64 (hypot.f64 1 x) (*.f64 (neg.f64 x) 1))
(+.f64 1 (-.f64 (hypot.f64 1 x) (+.f64 x 1)))
(+.f64 (-.f64 (hypot.f64 1 x) x) 0)
(-.f64 (hypot.f64 1 x) x)
(+.f64 (-.f64 (hypot.f64 1 x) x) (fma.f64 (neg.f64 x) 1 x))
(+.f64 1 (-.f64 (hypot.f64 1 x) (+.f64 x 1)))
(+.f64 (-.f64 (hypot.f64 1 x) x) 0)
(-.f64 (hypot.f64 1 x) x)
(+.f64 (-.f64 (hypot.f64 1 x) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(+.f64 1 (-.f64 (hypot.f64 1 x) (+.f64 x 1)))
(+.f64 (-.f64 (hypot.f64 1 x) x) 0)
(-.f64 (hypot.f64 1 x) x)
(+.f64 (-.f64 (hypot.f64 1 x) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(+.f64 1 (-.f64 (hypot.f64 1 x) (+.f64 x 1)))
(+.f64 (-.f64 (hypot.f64 1 x) x) 0)
(-.f64 (hypot.f64 1 x) x)
(+.f64 (neg.f64 x) (hypot.f64 1 x))
(+.f64 1 (-.f64 (hypot.f64 1 x) (+.f64 x 1)))
(+.f64 (-.f64 (hypot.f64 1 x) x) 0)
(-.f64 (hypot.f64 1 x) x)
(*.f64 1 (-.f64 (hypot.f64 1 x) x))
(+.f64 1 (-.f64 (hypot.f64 1 x) (+.f64 x 1)))
(+.f64 (-.f64 (hypot.f64 1 x) x) 0)
(-.f64 (hypot.f64 1 x) x)
(*.f64 (-.f64 (hypot.f64 1 x) x) 1)
(+.f64 1 (-.f64 (hypot.f64 1 x) (+.f64 x 1)))
(+.f64 (-.f64 (hypot.f64 1 x) x) 0)
(-.f64 (hypot.f64 1 x) x)
(*.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2))
(+.f64 1 (-.f64 (hypot.f64 1 x) (+.f64 x 1)))
(+.f64 (-.f64 (hypot.f64 1 x) x) 0)
(-.f64 (hypot.f64 1 x) x)
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2) (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))
(+.f64 1 (-.f64 (hypot.f64 1 x) (+.f64 x 1)))
(+.f64 (-.f64 (hypot.f64 1 x) x) 0)
(-.f64 (hypot.f64 1 x) x)
(*.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))
(+.f64 1 (-.f64 (hypot.f64 1 x) (+.f64 x 1)))
(+.f64 (-.f64 (hypot.f64 1 x) x) 0)
(-.f64 (hypot.f64 1 x) x)
(*.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (+.f64 1 (*.f64 x x)) (*.f64 x (+.f64 x (hypot.f64 1 x))))))
(*.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 1 (+.f64 (*.f64 x x) (*.f64 x (+.f64 x (hypot.f64 1 x)))))))
(/.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (hypot.f64 1 x)) (fma.f64 x x 1)))
(*.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x)) (/.f64 1 (+.f64 x (hypot.f64 1 x))))
(*.f64 (+.f64 1 (-.f64 (*.f64 x x) (*.f64 x x))) (/.f64 1 (+.f64 x (hypot.f64 1 x))))
(/.f64 1 (+.f64 x (hypot.f64 1 x)))
(*.f64 (+.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)))
(+.f64 1 (-.f64 (hypot.f64 1 x) (+.f64 x 1)))
(+.f64 (-.f64 (hypot.f64 1 x) x) 0)
(-.f64 (hypot.f64 1 x) x)
(/.f64 1 (/.f64 (+.f64 (+.f64 1 (*.f64 x x)) (*.f64 x (+.f64 x (hypot.f64 1 x)))) (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))))
(*.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 1 (+.f64 (*.f64 x x) (*.f64 x (+.f64 x (hypot.f64 1 x)))))))
(/.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (hypot.f64 1 x)) (fma.f64 x x 1)))
(/.f64 1 (/.f64 (+.f64 x (hypot.f64 1 x)) (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x))))
(*.f64 (+.f64 1 (-.f64 (*.f64 x x) (*.f64 x x))) (/.f64 1 (+.f64 x (hypot.f64 1 x))))
(/.f64 1 (+.f64 x (hypot.f64 1 x)))
(/.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (+.f64 (+.f64 1 (*.f64 x x)) (*.f64 x (+.f64 x (hypot.f64 1 x)))))
(*.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 1 (+.f64 (*.f64 x x) (*.f64 x (+.f64 x (hypot.f64 1 x)))))))
(/.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (hypot.f64 1 x)) (fma.f64 x x 1)))
(/.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x)) (+.f64 x (hypot.f64 1 x)))
(*.f64 (+.f64 1 (-.f64 (*.f64 x x) (*.f64 x x))) (/.f64 1 (+.f64 x (hypot.f64 1 x))))
(/.f64 1 (+.f64 x (hypot.f64 1 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (+.f64 1 (*.f64 x x)) (*.f64 x (+.f64 x (hypot.f64 1 x))))))
(*.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 1 (+.f64 (*.f64 x x) (*.f64 x (+.f64 x (hypot.f64 1 x)))))))
(/.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (hypot.f64 1 x)) (fma.f64 x x 1)))
(/.f64 (neg.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x))) (neg.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (+.f64 1 (-.f64 (*.f64 x x) (*.f64 x x))) (/.f64 1 (+.f64 x (hypot.f64 1 x))))
(/.f64 1 (+.f64 x (hypot.f64 1 x)))
(/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (neg.f64 x) 3)) (+.f64 (+.f64 1 (*.f64 x x)) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (hypot.f64 1 x) (neg.f64 x)))))
(*.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 1 (+.f64 (*.f64 x x) (*.f64 x (+.f64 x (hypot.f64 1 x)))))))
(/.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (hypot.f64 1 x)) (fma.f64 x x 1)))
(/.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (hypot.f64 1 x) (neg.f64 x)))
(*.f64 (+.f64 1 (-.f64 (*.f64 x x) (*.f64 x x))) (/.f64 1 (+.f64 x (hypot.f64 1 x))))
(/.f64 1 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (-.f64 (hypot.f64 1 x) x) 1)
(+.f64 1 (-.f64 (hypot.f64 1 x) (+.f64 x 1)))
(+.f64 (-.f64 (hypot.f64 1 x) x) 0)
(-.f64 (hypot.f64 1 x) x)
(pow.f64 (E.f64) (log.f64 (-.f64 (hypot.f64 1 x) x)))
(+.f64 1 (-.f64 (hypot.f64 1 x) (+.f64 x 1)))
(+.f64 (-.f64 (hypot.f64 1 x) x) 0)
(-.f64 (hypot.f64 1 x) x)
(pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 3)
(+.f64 1 (-.f64 (hypot.f64 1 x) (+.f64 x 1)))
(+.f64 (-.f64 (hypot.f64 1 x) x) 0)
(-.f64 (hypot.f64 1 x) x)
(pow.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 3) 1/3)
(+.f64 1 (-.f64 (hypot.f64 1 x) (+.f64 x 1)))
(+.f64 (-.f64 (hypot.f64 1 x) x) 0)
(-.f64 (hypot.f64 1 x) x)
(pow.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) 2)
(+.f64 1 (-.f64 (hypot.f64 1 x) (+.f64 x 1)))
(+.f64 (-.f64 (hypot.f64 1 x) x) 0)
(-.f64 (hypot.f64 1 x) x)
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(+.f64 1 (-.f64 (hypot.f64 1 x) (+.f64 x 1)))
(+.f64 (-.f64 (hypot.f64 1 x) x) 0)
(-.f64 (hypot.f64 1 x) x)
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2))) (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(sqrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 2))
(+.f64 1 (-.f64 (hypot.f64 1 x) (+.f64 x 1)))
(+.f64 (-.f64 (hypot.f64 1 x) x) 0)
(-.f64 (hypot.f64 1 x) x)
(log.f64 (exp.f64 (-.f64 (hypot.f64 1 x) x)))
(+.f64 1 (-.f64 (hypot.f64 1 x) (+.f64 x 1)))
(+.f64 (-.f64 (hypot.f64 1 x) x) 0)
(-.f64 (hypot.f64 1 x) x)
(cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 3))
(+.f64 1 (-.f64 (hypot.f64 1 x) (+.f64 x 1)))
(+.f64 (-.f64 (hypot.f64 1 x) x) 0)
(-.f64 (hypot.f64 1 x) x)
(expm1.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) x)))
(+.f64 1 (-.f64 (hypot.f64 1 x) (+.f64 x 1)))
(+.f64 (-.f64 (hypot.f64 1 x) x) 0)
(-.f64 (hypot.f64 1 x) x)
(exp.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(+.f64 1 (-.f64 (hypot.f64 1 x) (+.f64 x 1)))
(+.f64 (-.f64 (hypot.f64 1 x) x) 0)
(-.f64 (hypot.f64 1 x) x)
(log1p.f64 (expm1.f64 (-.f64 (hypot.f64 1 x) x)))
(+.f64 1 (-.f64 (hypot.f64 1 x) (+.f64 x 1)))
(+.f64 (-.f64 (hypot.f64 1 x) x) 0)
(-.f64 (hypot.f64 1 x) x)
(fma.f64 1 (hypot.f64 1 x) (neg.f64 x))
(+.f64 1 (-.f64 (hypot.f64 1 x) (+.f64 x 1)))
(+.f64 (-.f64 (hypot.f64 1 x) x) 0)
(-.f64 (hypot.f64 1 x) x)
(fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 x)) 2) (cbrt.f64 (hypot.f64 1 x)) (neg.f64 x))
(+.f64 1 (-.f64 (hypot.f64 1 x) (+.f64 x 1)))
(+.f64 (-.f64 (hypot.f64 1 x) x) 0)
(-.f64 (hypot.f64 1 x) x)
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) (neg.f64 x))
(+.f64 1 (-.f64 (hypot.f64 1 x) (+.f64 x 1)))
(+.f64 (-.f64 (hypot.f64 1 x) x) 0)
(-.f64 (hypot.f64 1 x) x)

localize817.0ms (8.7%)

Local Accuracy

Found 3 expressions with local accuracy:

NewAccuracyProgram
100.0%
(pow.f64 (neg.f64 (-.f64 x (hypot.f64 1 x))) -1/2)
78.0%
(-.f64 x (hypot.f64 1 x))
52.8%
(log.f64 (pow.f64 (neg.f64 (-.f64 x (hypot.f64 1 x))) -1/2))
Compiler

Compiled 48 to 36 computations (25% saved)

series29.0ms (0.3%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
24.0ms
x
@0
(log.f64 (pow.f64 (neg.f64 (-.f64 x (hypot.f64 1 x))) -1/2))
2.0ms
x
@-inf
(log.f64 (pow.f64 (neg.f64 (-.f64 x (hypot.f64 1 x))) -1/2))
1.0ms
x
@inf
(log.f64 (pow.f64 (neg.f64 (-.f64 x (hypot.f64 1 x))) -1/2))
1.0ms
x
@-inf
(pow.f64 (neg.f64 (-.f64 x (hypot.f64 1 x))) -1/2)
0.0ms
x
@inf
(pow.f64 (neg.f64 (-.f64 x (hypot.f64 1 x))) -1/2)

rewrite73.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
894×log-prod
732×prod-diff
536×prod-exp
526×pow-prod-down
480×fma-def
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01150
122942
2285542
Stop Event
node limit
Counts
2 → 69
Calls
Call 1
Inputs
(log.f64 (pow.f64 (neg.f64 (-.f64 x (hypot.f64 1 x))) -1/2))
(pow.f64 (neg.f64 (-.f64 x (hypot.f64 1 x))) -1/2)
Outputs
(+.f64 (*.f64 -1/2 (log.f64 (-.f64 x (hypot.f64 1 x)))) 0)
(+.f64 0 (*.f64 -1/2 (log.f64 (-.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (cbrt.f64 (/.f64 1 (-.f64 x (hypot.f64 1 x))))) (log.f64 (pow.f64 (-.f64 x (hypot.f64 1 x)) -1/6)))
(+.f64 (*.f64 -1/4 (log.f64 (-.f64 x (hypot.f64 1 x)))) (*.f64 -1/4 (log.f64 (-.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (pow.f64 (-.f64 x (hypot.f64 1 x)) -1/6)) (log.f64 (cbrt.f64 (/.f64 1 (-.f64 x (hypot.f64 1 x))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 x (hypot.f64 1 x))) -1)) (log.f64 (pow.f64 (-.f64 x (hypot.f64 1 x)) -1/6)))
(+.f64 (log.f64 (pow.f64 -1 -1/2)) (*.f64 -1/2 (log.f64 (-.f64 x (hypot.f64 1 x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/2 (log.f64 (-.f64 x (hypot.f64 1 x)))))) 1)
(*.f64 1 (*.f64 -1/2 (log.f64 (-.f64 x (hypot.f64 1 x)))))
(*.f64 -1/2 (log.f64 (-.f64 x (hypot.f64 1 x))))
(*.f64 (*.f64 -1/2 (log.f64 (-.f64 x (hypot.f64 1 x)))) 1)
(*.f64 (log.f64 (-.f64 x (hypot.f64 1 x))) -1/2)
(*.f64 (cbrt.f64 (*.f64 -1/2 (log.f64 (-.f64 x (hypot.f64 1 x))))) (pow.f64 (cbrt.f64 (*.f64 -1/2 (log.f64 (-.f64 x (hypot.f64 1 x))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 -1/2 (log.f64 (-.f64 x (hypot.f64 1 x))))) 2) (cbrt.f64 (*.f64 -1/2 (log.f64 (-.f64 x (hypot.f64 1 x))))))
(*.f64 (sqrt.f64 (*.f64 -1/2 (log.f64 (-.f64 x (hypot.f64 1 x))))) (sqrt.f64 (*.f64 -1/2 (log.f64 (-.f64 x (hypot.f64 1 x))))))
(*.f64 3 (log.f64 (pow.f64 (-.f64 x (hypot.f64 1 x)) -1/6)))
(*.f64 2 (*.f64 -1/4 (log.f64 (-.f64 x (hypot.f64 1 x)))))
(*.f64 -1/4 (*.f64 2 (log.f64 (-.f64 x (hypot.f64 1 x)))))
(*.f64 1/3 (log.f64 (pow.f64 (-.f64 x (hypot.f64 1 x)) -3/2)))
(pow.f64 (*.f64 -1/2 (log.f64 (-.f64 x (hypot.f64 1 x)))) 1)
(pow.f64 (cbrt.f64 (*.f64 -1/2 (log.f64 (-.f64 x (hypot.f64 1 x))))) 3)
(pow.f64 (*.f64 1/4 (pow.f64 (log.f64 (-.f64 x (hypot.f64 1 x))) 2)) 1/2)
(pow.f64 (pow.f64 (*.f64 -1/2 (log.f64 (-.f64 x (hypot.f64 1 x)))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 -1/2 (log.f64 (-.f64 x (hypot.f64 1 x))))) 2)
(sqrt.f64 (*.f64 1/4 (pow.f64 (log.f64 (-.f64 x (hypot.f64 1 x))) 2)))
(cbrt.f64 (pow.f64 (*.f64 -1/2 (log.f64 (-.f64 x (hypot.f64 1 x)))) 3))
(expm1.f64 (log1p.f64 (*.f64 -1/2 (log.f64 (-.f64 x (hypot.f64 1 x))))))
(exp.f64 (log.f64 (*.f64 -1/2 (log.f64 (-.f64 x (hypot.f64 1 x))))))
(exp.f64 (*.f64 (log.f64 (*.f64 -1/2 (log.f64 (-.f64 x (hypot.f64 1 x))))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 -1/2 (log.f64 (-.f64 x (hypot.f64 1 x))))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 -1/2 (log.f64 (-.f64 x (hypot.f64 1 x)))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 -1/2 (log.f64 (-.f64 x (hypot.f64 1 x)))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 -1/2 (log.f64 (-.f64 x (hypot.f64 1 x)))))) 2))
(log1p.f64 (-.f64 (pow.f64 (-.f64 x (hypot.f64 1 x)) -1/2) 1))
(+.f64 0 (pow.f64 (-.f64 x (hypot.f64 1 x)) -1/2))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (-.f64 x (hypot.f64 1 x)) -1/2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (-.f64 x (hypot.f64 1 x)) -1/2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (-.f64 x (hypot.f64 1 x)) -1/2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (-.f64 x (hypot.f64 1 x)) -1/2)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (-.f64 x (hypot.f64 1 x)) -1/2))) 1)
(*.f64 1 (pow.f64 (-.f64 x (hypot.f64 1 x)) -1/2))
(*.f64 (pow.f64 (-.f64 x (hypot.f64 1 x)) -1/2) 1)
(*.f64 (pow.f64 (-.f64 x (hypot.f64 1 x)) -1/6) (cbrt.f64 (/.f64 1 (-.f64 x (hypot.f64 1 x)))))
(*.f64 (cbrt.f64 (/.f64 1 (-.f64 x (hypot.f64 1 x)))) (pow.f64 (-.f64 x (hypot.f64 1 x)) -1/6))
(*.f64 (pow.f64 (-.f64 x (hypot.f64 1 x)) -1/4) (pow.f64 (-.f64 x (hypot.f64 1 x)) -1/4))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x (hypot.f64 1 x))) -1) (pow.f64 (-.f64 x (hypot.f64 1 x)) -1/6))
(*.f64 (pow.f64 -1 -1/2) (pow.f64 (-.f64 x (hypot.f64 1 x)) -1/2))
(*.f64 (pow.f64 (E.f64) (log.f64 (cbrt.f64 (/.f64 1 (-.f64 x (hypot.f64 1 x)))))) (pow.f64 (E.f64) (log.f64 (pow.f64 (-.f64 x (hypot.f64 1 x)) -1/6))))
(*.f64 (pow.f64 (E.f64) (*.f64 -1/4 (log.f64 (-.f64 x (hypot.f64 1 x))))) (pow.f64 (E.f64) (*.f64 -1/4 (log.f64 (-.f64 x (hypot.f64 1 x))))))
(*.f64 (pow.f64 (exp.f64 -1/2) (log.f64 (sqrt.f64 (-.f64 x (hypot.f64 1 x))))) (pow.f64 (exp.f64 -1/2) (log.f64 (sqrt.f64 (-.f64 x (hypot.f64 1 x))))))
(*.f64 (pow.f64 (exp.f64 -1/2) (log.f64 -1)) (pow.f64 (-.f64 x (hypot.f64 1 x)) -1/2))
(*.f64 (pow.f64 (exp.f64 -1/2) (*.f64 2 (log.f64 (cbrt.f64 (-.f64 x (hypot.f64 1 x)))))) (pow.f64 (exp.f64 -1/2) (log.f64 (cbrt.f64 (-.f64 x (hypot.f64 1 x))))))
(/.f64 (pow.f64 (E.f64) (exp.f64 (log1p.f64 (*.f64 -1/2 (log.f64 (-.f64 x (hypot.f64 1 x))))))) (E.f64))
(/.f64 (pow.f64 (exp.f64 -1/2) (log.f64 (-.f64 (*.f64 x x) (fma.f64 x x 1)))) (pow.f64 (exp.f64 -1/2) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(/.f64 (pow.f64 (exp.f64 -1/2) (log.f64 (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))) (pow.f64 (exp.f64 -1/2) (log.f64 (fma.f64 x x (fma.f64 x (hypot.f64 1 x) (fma.f64 x x 1))))))
(sqrt.f64 (/.f64 1 (-.f64 x (hypot.f64 1 x))))
(log.f64 (exp.f64 (pow.f64 (-.f64 x (hypot.f64 1 x)) -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (-.f64 x (hypot.f64 1 x)) -1/2))))
(cbrt.f64 (pow.f64 (-.f64 x (hypot.f64 1 x)) -3/2))
(expm1.f64 (log1p.f64 (pow.f64 (-.f64 x (hypot.f64 1 x)) -1/2)))
(exp.f64 (*.f64 -1/2 (log.f64 (-.f64 x (hypot.f64 1 x)))))
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 x (hypot.f64 1 x))) 1) -1/2))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 x (hypot.f64 1 x)) -1/6)) 3))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (-.f64 x (hypot.f64 1 x)))) -1/4))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 x (hypot.f64 1 x)) -3/2)) 1/3))
(exp.f64 (*.f64 (*.f64 -1/4 (log.f64 (-.f64 x (hypot.f64 1 x)))) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 x (hypot.f64 1 x))) -1/4) 2))
(exp.f64 (+.f64 (*.f64 -1/4 (log.f64 (-.f64 x (hypot.f64 1 x)))) (*.f64 (log.f64 (-.f64 x (hypot.f64 1 x))) -1/4)))
(exp.f64 (+.f64 (*.f64 (log.f64 (-.f64 x (hypot.f64 1 x))) -1/4) (*.f64 -1/4 (log.f64 (-.f64 x (hypot.f64 1 x))))))
(exp.f64 (+.f64 (*.f64 (log.f64 (-.f64 x (hypot.f64 1 x))) -1/4) (*.f64 (log.f64 (-.f64 x (hypot.f64 1 x))) -1/4)))
(log1p.f64 (expm1.f64 (pow.f64 (-.f64 x (hypot.f64 1 x)) -1/2)))

simplify99.0ms (1%)

Algorithm
egg-herbie
Rules
1736×fma-def
606×log-prod
508×unswap-sqr
490×distribute-lft-in
458×distribute-rgt-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02633465
16163293
219243091
368782915
Stop Event
node limit
Counts
93 → 177
Calls
Call 1
Inputs
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (*.f64 -1/12 (pow.f64 x 3)))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/12 (pow.f64 x 3)) (*.f64 3/80 (pow.f64 x 5))))
(+.f64 (*.f64 -5/224 (pow.f64 x 7)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/12 (pow.f64 x 3)) (*.f64 3/80 (pow.f64 x 5)))))
(*.f64 -1/2 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)))
(+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 2))) (*.f64 -1/2 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))))
(-.f64 (+.f64 (*.f64 -1/2 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))) (*.f64 1/8 (/.f64 1 (pow.f64 x 2)))) (*.f64 3/64 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (*.f64 -1/2 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))) (+.f64 (*.f64 5/192 (/.f64 1 (pow.f64 x 6))) (*.f64 1/8 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/64 (/.f64 1 (pow.f64 x 4))))
(*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2)))
(-.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2))) (*.f64 1/8 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 3/64 (/.f64 1 (pow.f64 x 4))) (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2)))) (*.f64 1/8 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 3/64 (/.f64 1 (pow.f64 x 4))) (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2)))) (+.f64 (*.f64 5/192 (/.f64 1 (pow.f64 x 6))) (*.f64 1/8 (/.f64 1 (pow.f64 x 2)))))
1
(+.f64 (*.f64 1/2 x) 1)
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) 1))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/16 (pow.f64 x 3)) 1)))
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))))
(+.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)))) (*.f64 1/8 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)))) (pow.f64 x 2))))
(+.f64 (*.f64 -5/128 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)))) (pow.f64 x 4))) (+.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)))) (*.f64 1/8 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)))) (pow.f64 x 2)))))
(+.f64 (*.f64 21/1024 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)))) (pow.f64 x 6))) (+.f64 (*.f64 -5/128 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)))) (pow.f64 x 4))) (+.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)))) (*.f64 1/8 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)))) (pow.f64 x 2))))))
(exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2))))
(+.f64 (*.f64 -1/8 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2)))) (pow.f64 x 2))) (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2)))))
(+.f64 (*.f64 -1/8 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2)))) (pow.f64 x 2))) (+.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2)))) (*.f64 7/128 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2)))) (pow.f64 x 4)))))
(+.f64 (*.f64 -1/8 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2)))) (pow.f64 x 2))) (+.f64 (*.f64 -33/1024 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2)))) (pow.f64 x 6))) (+.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2)))) (*.f64 7/128 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2)))) (pow.f64 x 4))))))
(+.f64 (*.f64 -1/2 (log.f64 (-.f64 x (hypot.f64 1 x)))) 0)
(+.f64 0 (*.f64 -1/2 (log.f64 (-.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (cbrt.f64 (/.f64 1 (-.f64 x (hypot.f64 1 x))))) (log.f64 (pow.f64 (-.f64 x (hypot.f64 1 x)) -1/6)))
(+.f64 (*.f64 -1/4 (log.f64 (-.f64 x (hypot.f64 1 x)))) (*.f64 -1/4 (log.f64 (-.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (pow.f64 (-.f64 x (hypot.f64 1 x)) -1/6)) (log.f64 (cbrt.f64 (/.f64 1 (-.f64 x (hypot.f64 1 x))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 x (hypot.f64 1 x))) -1)) (log.f64 (pow.f64 (-.f64 x (hypot.f64 1 x)) -1/6)))
(+.f64 (log.f64 (pow.f64 -1 -1/2)) (*.f64 -1/2 (log.f64 (-.f64 x (hypot.f64 1 x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/2 (log.f64 (-.f64 x (hypot.f64 1 x)))))) 1)
(*.f64 1 (*.f64 -1/2 (log.f64 (-.f64 x (hypot.f64 1 x)))))
(*.f64 -1/2 (log.f64 (-.f64 x (hypot.f64 1 x))))
(*.f64 (*.f64 -1/2 (log.f64 (-.f64 x (hypot.f64 1 x)))) 1)
(*.f64 (log.f64 (-.f64 x (hypot.f64 1 x))) -1/2)
(*.f64 (cbrt.f64 (*.f64 -1/2 (log.f64 (-.f64 x (hypot.f64 1 x))))) (pow.f64 (cbrt.f64 (*.f64 -1/2 (log.f64 (-.f64 x (hypot.f64 1 x))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 -1/2 (log.f64 (-.f64 x (hypot.f64 1 x))))) 2) (cbrt.f64 (*.f64 -1/2 (log.f64 (-.f64 x (hypot.f64 1 x))))))
(*.f64 (sqrt.f64 (*.f64 -1/2 (log.f64 (-.f64 x (hypot.f64 1 x))))) (sqrt.f64 (*.f64 -1/2 (log.f64 (-.f64 x (hypot.f64 1 x))))))
(*.f64 3 (log.f64 (pow.f64 (-.f64 x (hypot.f64 1 x)) -1/6)))
(*.f64 2 (*.f64 -1/4 (log.f64 (-.f64 x (hypot.f64 1 x)))))
(*.f64 -1/4 (*.f64 2 (log.f64 (-.f64 x (hypot.f64 1 x)))))
(*.f64 1/3 (log.f64 (pow.f64 (-.f64 x (hypot.f64 1 x)) -3/2)))
(pow.f64 (*.f64 -1/2 (log.f64 (-.f64 x (hypot.f64 1 x)))) 1)
(pow.f64 (cbrt.f64 (*.f64 -1/2 (log.f64 (-.f64 x (hypot.f64 1 x))))) 3)
(pow.f64 (*.f64 1/4 (pow.f64 (log.f64 (-.f64 x (hypot.f64 1 x))) 2)) 1/2)
(pow.f64 (pow.f64 (*.f64 -1/2 (log.f64 (-.f64 x (hypot.f64 1 x)))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 -1/2 (log.f64 (-.f64 x (hypot.f64 1 x))))) 2)
(sqrt.f64 (*.f64 1/4 (pow.f64 (log.f64 (-.f64 x (hypot.f64 1 x))) 2)))
(cbrt.f64 (pow.f64 (*.f64 -1/2 (log.f64 (-.f64 x (hypot.f64 1 x)))) 3))
(expm1.f64 (log1p.f64 (*.f64 -1/2 (log.f64 (-.f64 x (hypot.f64 1 x))))))
(exp.f64 (log.f64 (*.f64 -1/2 (log.f64 (-.f64 x (hypot.f64 1 x))))))
(exp.f64 (*.f64 (log.f64 (*.f64 -1/2 (log.f64 (-.f64 x (hypot.f64 1 x))))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 -1/2 (log.f64 (-.f64 x (hypot.f64 1 x))))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 -1/2 (log.f64 (-.f64 x (hypot.f64 1 x)))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 -1/2 (log.f64 (-.f64 x (hypot.f64 1 x)))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 -1/2 (log.f64 (-.f64 x (hypot.f64 1 x)))))) 2))
(log1p.f64 (-.f64 (pow.f64 (-.f64 x (hypot.f64 1 x)) -1/2) 1))
(+.f64 0 (pow.f64 (-.f64 x (hypot.f64 1 x)) -1/2))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (-.f64 x (hypot.f64 1 x)) -1/2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (-.f64 x (hypot.f64 1 x)) -1/2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (-.f64 x (hypot.f64 1 x)) -1/2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (-.f64 x (hypot.f64 1 x)) -1/2)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (-.f64 x (hypot.f64 1 x)) -1/2))) 1)
(*.f64 1 (pow.f64 (-.f64 x (hypot.f64 1 x)) -1/2))
(*.f64 (pow.f64 (-.f64 x (hypot.f64 1 x)) -1/2) 1)
(*.f64 (pow.f64 (-.f64 x (hypot.f64 1 x)) -1/6) (cbrt.f64 (/.f64 1 (-.f64 x (hypot.f64 1 x)))))
(*.f64 (cbrt.f64 (/.f64 1 (-.f64 x (hypot.f64 1 x)))) (pow.f64 (-.f64 x (hypot.f64 1 x)) -1/6))
(*.f64 (pow.f64 (-.f64 x (hypot.f64 1 x)) -1/4) (pow.f64 (-.f64 x (hypot.f64 1 x)) -1/4))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x (hypot.f64 1 x))) -1) (pow.f64 (-.f64 x (hypot.f64 1 x)) -1/6))
(*.f64 (pow.f64 -1 -1/2) (pow.f64 (-.f64 x (hypot.f64 1 x)) -1/2))
(*.f64 (pow.f64 (E.f64) (log.f64 (cbrt.f64 (/.f64 1 (-.f64 x (hypot.f64 1 x)))))) (pow.f64 (E.f64) (log.f64 (pow.f64 (-.f64 x (hypot.f64 1 x)) -1/6))))
(*.f64 (pow.f64 (E.f64) (*.f64 -1/4 (log.f64 (-.f64 x (hypot.f64 1 x))))) (pow.f64 (E.f64) (*.f64 -1/4 (log.f64 (-.f64 x (hypot.f64 1 x))))))
(*.f64 (pow.f64 (exp.f64 -1/2) (log.f64 (sqrt.f64 (-.f64 x (hypot.f64 1 x))))) (pow.f64 (exp.f64 -1/2) (log.f64 (sqrt.f64 (-.f64 x (hypot.f64 1 x))))))
(*.f64 (pow.f64 (exp.f64 -1/2) (log.f64 -1)) (pow.f64 (-.f64 x (hypot.f64 1 x)) -1/2))
(*.f64 (pow.f64 (exp.f64 -1/2) (*.f64 2 (log.f64 (cbrt.f64 (-.f64 x (hypot.f64 1 x)))))) (pow.f64 (exp.f64 -1/2) (log.f64 (cbrt.f64 (-.f64 x (hypot.f64 1 x))))))
(/.f64 (pow.f64 (E.f64) (exp.f64 (log1p.f64 (*.f64 -1/2 (log.f64 (-.f64 x (hypot.f64 1 x))))))) (E.f64))
(/.f64 (pow.f64 (exp.f64 -1/2) (log.f64 (-.f64 (*.f64 x x) (fma.f64 x x 1)))) (pow.f64 (exp.f64 -1/2) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(/.f64 (pow.f64 (exp.f64 -1/2) (log.f64 (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))) (pow.f64 (exp.f64 -1/2) (log.f64 (fma.f64 x x (fma.f64 x (hypot.f64 1 x) (fma.f64 x x 1))))))
(sqrt.f64 (/.f64 1 (-.f64 x (hypot.f64 1 x))))
(log.f64 (exp.f64 (pow.f64 (-.f64 x (hypot.f64 1 x)) -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (-.f64 x (hypot.f64 1 x)) -1/2))))
(cbrt.f64 (pow.f64 (-.f64 x (hypot.f64 1 x)) -3/2))
(expm1.f64 (log1p.f64 (pow.f64 (-.f64 x (hypot.f64 1 x)) -1/2)))
(exp.f64 (*.f64 -1/2 (log.f64 (-.f64 x (hypot.f64 1 x)))))
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 x (hypot.f64 1 x))) 1) -1/2))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 x (hypot.f64 1 x)) -1/6)) 3))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (-.f64 x (hypot.f64 1 x)))) -1/4))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 x (hypot.f64 1 x)) -3/2)) 1/3))
(exp.f64 (*.f64 (*.f64 -1/4 (log.f64 (-.f64 x (hypot.f64 1 x)))) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 x (hypot.f64 1 x))) -1/4) 2))
(exp.f64 (+.f64 (*.f64 -1/4 (log.f64 (-.f64 x (hypot.f64 1 x)))) (*.f64 (log.f64 (-.f64 x (hypot.f64 1 x))) -1/4)))
(exp.f64 (+.f64 (*.f64 (log.f64 (-.f64 x (hypot.f64 1 x))) -1/4) (*.f64 -1/4 (log.f64 (-.f64 x (hypot.f64 1 x))))))
(exp.f64 (+.f64 (*.f64 (log.f64 (-.f64 x (hypot.f64 1 x))) -1/4) (*.f64 (log.f64 (-.f64 x (hypot.f64 1 x))) -1/4)))
(log1p.f64 (expm1.f64 (pow.f64 (-.f64 x (hypot.f64 1 x)) -1/2)))
Outputs
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (*.f64 -1/12 (pow.f64 x 3)))
(fma.f64 1/2 x (*.f64 -1/12 (pow.f64 x 3)))
(fma.f64 -1/12 (pow.f64 x 3) (*.f64 1/2 x))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/12 (pow.f64 x 3)) (*.f64 3/80 (pow.f64 x 5))))
(fma.f64 1/2 x (fma.f64 -1/12 (pow.f64 x 3) (*.f64 3/80 (pow.f64 x 5))))
(fma.f64 -1/12 (pow.f64 x 3) (fma.f64 1/2 x (*.f64 3/80 (pow.f64 x 5))))
(fma.f64 -1/12 (pow.f64 x 3) (fma.f64 3/80 (pow.f64 x 5) (*.f64 1/2 x)))
(+.f64 (*.f64 -5/224 (pow.f64 x 7)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/12 (pow.f64 x 3)) (*.f64 3/80 (pow.f64 x 5)))))
(fma.f64 -5/224 (pow.f64 x 7) (fma.f64 1/2 x (fma.f64 -1/12 (pow.f64 x 3) (*.f64 3/80 (pow.f64 x 5)))))
(fma.f64 -5/224 (pow.f64 x 7) (fma.f64 -1/12 (pow.f64 x 3) (fma.f64 1/2 x (*.f64 3/80 (pow.f64 x 5)))))
(fma.f64 -5/224 (pow.f64 x 7) (fma.f64 -1/12 (pow.f64 x 3) (fma.f64 3/80 (pow.f64 x 5) (*.f64 1/2 x))))
(*.f64 -1/2 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)))
(*.f64 -1/2 (+.f64 (neg.f64 (log.f64 x)) (log.f64 1/2)))
(*.f64 -1/2 (-.f64 (log.f64 1/2) (log.f64 x)))
(+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 2))) (*.f64 -1/2 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))))
(fma.f64 -1/2 (+.f64 (neg.f64 (log.f64 x)) (log.f64 1/2)) (/.f64 1/8 (*.f64 x x)))
(fma.f64 -1/2 (-.f64 (log.f64 1/2) (log.f64 x)) (/.f64 1/8 (*.f64 x x)))
(-.f64 (+.f64 (*.f64 -1/2 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))) (*.f64 1/8 (/.f64 1 (pow.f64 x 2)))) (*.f64 3/64 (/.f64 1 (pow.f64 x 4))))
(-.f64 (fma.f64 -1/2 (+.f64 (neg.f64 (log.f64 x)) (log.f64 1/2)) (/.f64 1/8 (*.f64 x x))) (/.f64 3/64 (pow.f64 x 4)))
(fma.f64 -1/2 (-.f64 (log.f64 1/2) (log.f64 x)) (+.f64 (/.f64 1/8 (*.f64 x x)) (/.f64 -3/64 (pow.f64 x 4))))
(+.f64 (/.f64 1/8 (*.f64 x x)) (fma.f64 -1/2 (-.f64 (log.f64 1/2) (log.f64 x)) (/.f64 -3/64 (pow.f64 x 4))))
(-.f64 (+.f64 (*.f64 -1/2 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))) (+.f64 (*.f64 5/192 (/.f64 1 (pow.f64 x 6))) (*.f64 1/8 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/64 (/.f64 1 (pow.f64 x 4))))
(-.f64 (fma.f64 -1/2 (+.f64 (neg.f64 (log.f64 x)) (log.f64 1/2)) (+.f64 (/.f64 1/8 (*.f64 x x)) (/.f64 5/192 (pow.f64 x 6)))) (/.f64 3/64 (pow.f64 x 4)))
(+.f64 (+.f64 (/.f64 1/8 (*.f64 x x)) (fma.f64 -1/2 (-.f64 (log.f64 1/2) (log.f64 x)) (/.f64 5/192 (pow.f64 x 6)))) (/.f64 -3/64 (pow.f64 x 4)))
(+.f64 (/.f64 1/8 (*.f64 x x)) (-.f64 (fma.f64 -1/2 (-.f64 (log.f64 1/2) (log.f64 x)) (/.f64 5/192 (pow.f64 x 6))) (/.f64 3/64 (pow.f64 x 4))))
(*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2)))
(*.f64 -1/2 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 2)))
(*.f64 -1/2 (-.f64 (log.f64 2) (log.f64 (/.f64 -1 x))))
(-.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2))) (*.f64 1/8 (/.f64 1 (pow.f64 x 2))))
(-.f64 (*.f64 -1/2 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 2))) (/.f64 1/8 (*.f64 x x)))
(fma.f64 -1/2 (-.f64 (log.f64 2) (log.f64 (/.f64 -1 x))) (/.f64 -1/8 (*.f64 x x)))
(-.f64 (+.f64 (*.f64 3/64 (/.f64 1 (pow.f64 x 4))) (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2)))) (*.f64 1/8 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 3/64 (pow.f64 x 4)) (-.f64 (*.f64 -1/2 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 2))) (/.f64 1/8 (*.f64 x x))))
(+.f64 (/.f64 3/64 (pow.f64 x 4)) (fma.f64 -1/2 (-.f64 (log.f64 2) (log.f64 (/.f64 -1 x))) (/.f64 -1/8 (*.f64 x x))))
(-.f64 (+.f64 (*.f64 3/64 (/.f64 1 (pow.f64 x 4))) (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2)))) (+.f64 (*.f64 5/192 (/.f64 1 (pow.f64 x 6))) (*.f64 1/8 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (/.f64 3/64 (pow.f64 x 4)) (-.f64 (*.f64 -1/2 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 2))) (+.f64 (/.f64 1/8 (*.f64 x x)) (/.f64 5/192 (pow.f64 x 6)))))
(+.f64 (/.f64 3/64 (pow.f64 x 4)) (-.f64 (fma.f64 -1/2 (-.f64 (log.f64 2) (log.f64 (/.f64 -1 x))) (/.f64 -1/8 (*.f64 x x))) (/.f64 5/192 (pow.f64 x 6))))
(fma.f64 -1/2 (-.f64 (log.f64 2) (log.f64 (/.f64 -1 x))) (+.f64 (-.f64 (/.f64 3/64 (pow.f64 x 4)) (/.f64 1/8 (*.f64 x x))) (/.f64 -5/192 (pow.f64 x 6))))
1
(+.f64 (*.f64 1/2 x) 1)
(fma.f64 1/2 x 1)
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) 1))
(fma.f64 1/8 (*.f64 x x) (fma.f64 1/2 x 1))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/16 (pow.f64 x 3)) 1)))
(fma.f64 1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 -1/16 (pow.f64 x 3) 1)))
(fma.f64 1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 (pow.f64 x 3) -1/16 1)))
(fma.f64 1/2 x (fma.f64 x (*.f64 x 1/8) (fma.f64 (pow.f64 x 3) -1/16 1)))
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))))
(pow.f64 (exp.f64 -1/2) (+.f64 (neg.f64 (log.f64 x)) (log.f64 1/2)))
(pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 1/2) (log.f64 x)))
(*.f64 (pow.f64 (/.f64 1 x) -1/2) (pow.f64 1/2 -1/2))
(pow.f64 (/.f64 1/2 x) -1/2)
(+.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)))) (*.f64 1/8 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)))) (pow.f64 x 2))))
(+.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (neg.f64 (log.f64 x)) (log.f64 1/2))) (*.f64 1/8 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (neg.f64 (log.f64 x)) (log.f64 1/2))) (*.f64 x x))))
(fma.f64 1/8 (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 1/2) (log.f64 x))) (*.f64 x x)) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 1/2) (log.f64 x))))
(fma.f64 1/8 (*.f64 (/.f64 (pow.f64 (/.f64 1 x) -1/2) x) (/.f64 (pow.f64 1/2 -1/2) x)) (*.f64 (pow.f64 (/.f64 1 x) -1/2) (pow.f64 1/2 -1/2)))
(fma.f64 1/8 (/.f64 (pow.f64 (/.f64 1/2 x) -1/2) (*.f64 x x)) (pow.f64 (/.f64 1/2 x) -1/2))
(+.f64 (*.f64 -5/128 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)))) (pow.f64 x 4))) (+.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)))) (*.f64 1/8 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)))) (pow.f64 x 2)))))
(fma.f64 -5/128 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (neg.f64 (log.f64 x)) (log.f64 1/2))) (pow.f64 x 4)) (+.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (neg.f64 (log.f64 x)) (log.f64 1/2))) (*.f64 1/8 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (neg.f64 (log.f64 x)) (log.f64 1/2))) (*.f64 x x)))))
(fma.f64 -5/128 (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 1/2) (log.f64 x))) (pow.f64 x 4)) (fma.f64 1/8 (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 1/2) (log.f64 x))) (*.f64 x x)) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 1/2) (log.f64 x)))))
(fma.f64 (pow.f64 (/.f64 1 x) -1/2) (pow.f64 1/2 -1/2) (*.f64 (*.f64 (/.f64 (pow.f64 (/.f64 1 x) -1/2) x) (/.f64 (pow.f64 1/2 -1/2) x)) (+.f64 1/8 (/.f64 -5/128 (*.f64 x x)))))
(+.f64 (pow.f64 (/.f64 1/2 x) -1/2) (*.f64 (/.f64 (pow.f64 (/.f64 1/2 x) -1/2) (*.f64 x x)) (+.f64 1/8 (/.f64 -5/128 (*.f64 x x)))))
(+.f64 (*.f64 21/1024 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)))) (pow.f64 x 6))) (+.f64 (*.f64 -5/128 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)))) (pow.f64 x 4))) (+.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)))) (*.f64 1/8 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)))) (pow.f64 x 2))))))
(fma.f64 21/1024 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (neg.f64 (log.f64 x)) (log.f64 1/2))) (pow.f64 x 6)) (fma.f64 -5/128 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (neg.f64 (log.f64 x)) (log.f64 1/2))) (pow.f64 x 4)) (+.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (neg.f64 (log.f64 x)) (log.f64 1/2))) (*.f64 1/8 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (neg.f64 (log.f64 x)) (log.f64 1/2))) (*.f64 x x))))))
(fma.f64 21/1024 (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 1/2) (log.f64 x))) (pow.f64 x 6)) (fma.f64 -5/128 (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 1/2) (log.f64 x))) (pow.f64 x 4)) (fma.f64 1/8 (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 1/2) (log.f64 x))) (*.f64 x x)) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 1/2) (log.f64 x))))))
(fma.f64 21/1024 (/.f64 (pow.f64 (/.f64 1 x) -1/2) (/.f64 (pow.f64 x 6) (pow.f64 1/2 -1/2))) (fma.f64 (pow.f64 (/.f64 1 x) -1/2) (pow.f64 1/2 -1/2) (*.f64 (*.f64 (/.f64 (pow.f64 (/.f64 1 x) -1/2) x) (/.f64 (pow.f64 1/2 -1/2) x)) (+.f64 1/8 (/.f64 -5/128 (*.f64 x x))))))
(fma.f64 21/1024 (/.f64 (pow.f64 (/.f64 1/2 x) -1/2) (pow.f64 x 6)) (+.f64 (pow.f64 (/.f64 1/2 x) -1/2) (*.f64 (/.f64 (pow.f64 (/.f64 1/2 x) -1/2) (*.f64 x x)) (+.f64 1/8 (/.f64 -5/128 (*.f64 x x))))))
(exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2))))
(pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 2)))
(pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 2) (log.f64 (/.f64 -1 x))))
(*.f64 (pow.f64 (/.f64 -1 x) 1/2) (pow.f64 2 -1/2))
(pow.f64 (/.f64 2 (/.f64 -1 x)) -1/2)
(+.f64 (*.f64 -1/8 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2)))) (pow.f64 x 2))) (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2)))))
(fma.f64 -1/8 (/.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 2))) (*.f64 x x)) (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 2))))
(fma.f64 -1/8 (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 2) (log.f64 (/.f64 -1 x)))) (*.f64 x x)) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 2) (log.f64 (/.f64 -1 x)))))
(fma.f64 -1/8 (*.f64 (/.f64 (pow.f64 (/.f64 -1 x) 1/2) x) (/.f64 (pow.f64 2 -1/2) x)) (*.f64 (pow.f64 (/.f64 -1 x) 1/2) (pow.f64 2 -1/2)))
(fma.f64 -1/8 (/.f64 (pow.f64 (/.f64 2 (/.f64 -1 x)) -1/2) (*.f64 x x)) (pow.f64 (/.f64 2 (/.f64 -1 x)) -1/2))
(+.f64 (*.f64 -1/8 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2)))) (pow.f64 x 2))) (+.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2)))) (*.f64 7/128 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2)))) (pow.f64 x 4)))))
(+.f64 (fma.f64 -1/8 (/.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 2))) (*.f64 x x)) (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 2)))) (*.f64 7/128 (/.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 2))) (pow.f64 x 4))))
(fma.f64 -1/8 (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 2) (log.f64 (/.f64 -1 x)))) (*.f64 x x)) (fma.f64 7/128 (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 2) (log.f64 (/.f64 -1 x)))) (pow.f64 x 4)) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 2) (log.f64 (/.f64 -1 x))))))
(fma.f64 (pow.f64 (/.f64 -1 x) 1/2) (pow.f64 2 -1/2) (*.f64 (*.f64 (/.f64 (pow.f64 (/.f64 -1 x) 1/2) x) (/.f64 (pow.f64 2 -1/2) x)) (+.f64 (/.f64 7/128 (*.f64 x x)) -1/8)))
(+.f64 (pow.f64 (/.f64 2 (/.f64 -1 x)) -1/2) (*.f64 (/.f64 (pow.f64 (/.f64 2 (/.f64 -1 x)) -1/2) (*.f64 x x)) (+.f64 (/.f64 7/128 (*.f64 x x)) -1/8)))
(+.f64 (*.f64 -1/8 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2)))) (pow.f64 x 2))) (+.f64 (*.f64 -33/1024 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2)))) (pow.f64 x 6))) (+.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2)))) (*.f64 7/128 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2)))) (pow.f64 x 4))))))
(fma.f64 -1/8 (/.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 2))) (*.f64 x x)) (fma.f64 -33/1024 (/.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 2))) (pow.f64 x 6)) (+.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 2))) (*.f64 7/128 (/.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 2))) (pow.f64 x 4))))))
(fma.f64 -1/8 (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 2) (log.f64 (/.f64 -1 x)))) (*.f64 x x)) (fma.f64 -33/1024 (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 2) (log.f64 (/.f64 -1 x)))) (pow.f64 x 6)) (fma.f64 7/128 (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 2) (log.f64 (/.f64 -1 x)))) (pow.f64 x 4)) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 2) (log.f64 (/.f64 -1 x)))))))
(fma.f64 -33/1024 (/.f64 (*.f64 (pow.f64 (/.f64 -1 x) 1/2) (pow.f64 2 -1/2)) (pow.f64 x 6)) (fma.f64 (pow.f64 (/.f64 -1 x) 1/2) (pow.f64 2 -1/2) (*.f64 (*.f64 (/.f64 (pow.f64 (/.f64 -1 x) 1/2) x) (/.f64 (pow.f64 2 -1/2) x)) (+.f64 (/.f64 7/128 (*.f64 x x)) -1/8))))
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(*.f64 -1/2 (log.f64 (-.f64 x (hypot.f64 1 x))))
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(*.f64 -1/2 (log.f64 (-.f64 x (hypot.f64 1 x))))
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(fma.f64 (log.f64 (-.f64 x (hypot.f64 1 x))) -1/6 (log.f64 (cbrt.f64 (/.f64 1 (-.f64 x (hypot.f64 1 x))))))
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(*.f64 -1/2 (log.f64 (-.f64 x (hypot.f64 1 x))))
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(fma.f64 -1/6 (log.f64 (-.f64 x (hypot.f64 1 x))) (log.f64 (cbrt.f64 (/.f64 1 (-.f64 x (hypot.f64 1 x))))))
(fma.f64 (log.f64 (-.f64 x (hypot.f64 1 x))) -1/6 (log.f64 (cbrt.f64 (/.f64 1 (-.f64 x (hypot.f64 1 x))))))
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(fma.f64 -1/6 (log.f64 (-.f64 x (hypot.f64 1 x))) (neg.f64 (log.f64 (cbrt.f64 (-.f64 x (hypot.f64 1 x))))))
(fma.f64 (log.f64 (-.f64 x (hypot.f64 1 x))) -1/6 (neg.f64 (log.f64 (cbrt.f64 (-.f64 x (hypot.f64 1 x))))))
(+.f64 (log.f64 (pow.f64 -1 -1/2)) (*.f64 -1/2 (log.f64 (-.f64 x (hypot.f64 1 x)))))
(+.f64 (*.f64 -1/2 (log.f64 (-.f64 x (hypot.f64 1 x)))) (*.f64 -1/2 (log.f64 -1)))
(*.f64 -1/2 (+.f64 (log.f64 (-.f64 x (hypot.f64 1 x))) (log.f64 -1)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/2 (log.f64 (-.f64 x (hypot.f64 1 x)))))) 1)
(*.f64 -1/2 (log.f64 (-.f64 x (hypot.f64 1 x))))
(*.f64 1 (*.f64 -1/2 (log.f64 (-.f64 x (hypot.f64 1 x)))))
(*.f64 -1/2 (log.f64 (-.f64 x (hypot.f64 1 x))))
(*.f64 -1/2 (log.f64 (-.f64 x (hypot.f64 1 x))))
(*.f64 (*.f64 -1/2 (log.f64 (-.f64 x (hypot.f64 1 x)))) 1)
(*.f64 -1/2 (log.f64 (-.f64 x (hypot.f64 1 x))))
(*.f64 (log.f64 (-.f64 x (hypot.f64 1 x))) -1/2)
(*.f64 -1/2 (log.f64 (-.f64 x (hypot.f64 1 x))))
(*.f64 (cbrt.f64 (*.f64 -1/2 (log.f64 (-.f64 x (hypot.f64 1 x))))) (pow.f64 (cbrt.f64 (*.f64 -1/2 (log.f64 (-.f64 x (hypot.f64 1 x))))) 2))
(*.f64 -1/2 (log.f64 (-.f64 x (hypot.f64 1 x))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 -1/2 (log.f64 (-.f64 x (hypot.f64 1 x))))) 2) (cbrt.f64 (*.f64 -1/2 (log.f64 (-.f64 x (hypot.f64 1 x))))))
(*.f64 -1/2 (log.f64 (-.f64 x (hypot.f64 1 x))))
(*.f64 (sqrt.f64 (*.f64 -1/2 (log.f64 (-.f64 x (hypot.f64 1 x))))) (sqrt.f64 (*.f64 -1/2 (log.f64 (-.f64 x (hypot.f64 1 x))))))
(*.f64 -1/2 (log.f64 (-.f64 x (hypot.f64 1 x))))
(*.f64 3 (log.f64 (pow.f64 (-.f64 x (hypot.f64 1 x)) -1/6)))
(*.f64 -1/2 (log.f64 (-.f64 x (hypot.f64 1 x))))
(*.f64 2 (*.f64 -1/4 (log.f64 (-.f64 x (hypot.f64 1 x)))))
(*.f64 -1/2 (log.f64 (-.f64 x (hypot.f64 1 x))))
(*.f64 -1/4 (*.f64 2 (log.f64 (-.f64 x (hypot.f64 1 x)))))
(*.f64 -1/2 (log.f64 (-.f64 x (hypot.f64 1 x))))
(*.f64 1/3 (log.f64 (pow.f64 (-.f64 x (hypot.f64 1 x)) -3/2)))
(*.f64 -1/2 (log.f64 (-.f64 x (hypot.f64 1 x))))
(pow.f64 (*.f64 -1/2 (log.f64 (-.f64 x (hypot.f64 1 x)))) 1)
(*.f64 -1/2 (log.f64 (-.f64 x (hypot.f64 1 x))))
(pow.f64 (cbrt.f64 (*.f64 -1/2 (log.f64 (-.f64 x (hypot.f64 1 x))))) 3)
(*.f64 -1/2 (log.f64 (-.f64 x (hypot.f64 1 x))))
(pow.f64 (*.f64 1/4 (pow.f64 (log.f64 (-.f64 x (hypot.f64 1 x))) 2)) 1/2)
(sqrt.f64 (*.f64 1/4 (pow.f64 (log.f64 (-.f64 x (hypot.f64 1 x))) 2)))
(fabs.f64 (*.f64 -1/2 (log.f64 (-.f64 x (hypot.f64 1 x)))))
(pow.f64 (pow.f64 (*.f64 -1/2 (log.f64 (-.f64 x (hypot.f64 1 x)))) 3) 1/3)
(*.f64 -1/2 (log.f64 (-.f64 x (hypot.f64 1 x))))
(pow.f64 (sqrt.f64 (*.f64 -1/2 (log.f64 (-.f64 x (hypot.f64 1 x))))) 2)
(*.f64 -1/2 (log.f64 (-.f64 x (hypot.f64 1 x))))
(sqrt.f64 (*.f64 1/4 (pow.f64 (log.f64 (-.f64 x (hypot.f64 1 x))) 2)))
(fabs.f64 (*.f64 -1/2 (log.f64 (-.f64 x (hypot.f64 1 x)))))
(cbrt.f64 (pow.f64 (*.f64 -1/2 (log.f64 (-.f64 x (hypot.f64 1 x)))) 3))
(*.f64 -1/2 (log.f64 (-.f64 x (hypot.f64 1 x))))
(expm1.f64 (log1p.f64 (*.f64 -1/2 (log.f64 (-.f64 x (hypot.f64 1 x))))))
(*.f64 -1/2 (log.f64 (-.f64 x (hypot.f64 1 x))))
(exp.f64 (log.f64 (*.f64 -1/2 (log.f64 (-.f64 x (hypot.f64 1 x))))))
(*.f64 -1/2 (log.f64 (-.f64 x (hypot.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (*.f64 -1/2 (log.f64 (-.f64 x (hypot.f64 1 x))))) 1))
(*.f64 -1/2 (log.f64 (-.f64 x (hypot.f64 1 x))))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 -1/2 (log.f64 (-.f64 x (hypot.f64 1 x))))) 1) 1))
(*.f64 -1/2 (log.f64 (-.f64 x (hypot.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 -1/2 (log.f64 (-.f64 x (hypot.f64 1 x)))))) 3))
(*.f64 -1/2 (log.f64 (-.f64 x (hypot.f64 1 x))))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 -1/2 (log.f64 (-.f64 x (hypot.f64 1 x)))))) 1/3))
(*.f64 -1/2 (log.f64 (-.f64 x (hypot.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 -1/2 (log.f64 (-.f64 x (hypot.f64 1 x)))))) 2))
(*.f64 -1/2 (log.f64 (-.f64 x (hypot.f64 1 x))))
(log1p.f64 (-.f64 (pow.f64 (-.f64 x (hypot.f64 1 x)) -1/2) 1))
(*.f64 -1/2 (log.f64 (-.f64 x (hypot.f64 1 x))))
(+.f64 0 (pow.f64 (-.f64 x (hypot.f64 1 x)) -1/2))
(pow.f64 (-.f64 x (hypot.f64 1 x)) -1/2)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (-.f64 x (hypot.f64 1 x)) -1/2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (-.f64 x (hypot.f64 1 x)) -1/2)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (-.f64 x (hypot.f64 1 x)) -1/2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (-.f64 x (hypot.f64 1 x)) -1/2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (-.f64 x (hypot.f64 1 x)) -1/2)))))
(pow.f64 (-.f64 x (hypot.f64 1 x)) -1/2)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (-.f64 x (hypot.f64 1 x)) -1/2))) 1)
(pow.f64 (-.f64 x (hypot.f64 1 x)) -1/2)
(*.f64 1 (pow.f64 (-.f64 x (hypot.f64 1 x)) -1/2))
(pow.f64 (-.f64 x (hypot.f64 1 x)) -1/2)
(*.f64 (pow.f64 (-.f64 x (hypot.f64 1 x)) -1/2) 1)
(pow.f64 (-.f64 x (hypot.f64 1 x)) -1/2)
(*.f64 (pow.f64 (-.f64 x (hypot.f64 1 x)) -1/6) (cbrt.f64 (/.f64 1 (-.f64 x (hypot.f64 1 x)))))
(*.f64 (cbrt.f64 (/.f64 1 (-.f64 x (hypot.f64 1 x)))) (pow.f64 (-.f64 x (hypot.f64 1 x)) -1/6))
(*.f64 (cbrt.f64 (/.f64 1 (-.f64 x (hypot.f64 1 x)))) (pow.f64 (-.f64 x (hypot.f64 1 x)) -1/6))
(*.f64 (pow.f64 (-.f64 x (hypot.f64 1 x)) -1/4) (pow.f64 (-.f64 x (hypot.f64 1 x)) -1/4))
(pow.f64 (-.f64 x (hypot.f64 1 x)) -1/2)
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x (hypot.f64 1 x))) -1) (pow.f64 (-.f64 x (hypot.f64 1 x)) -1/6))
(*.f64 (pow.f64 (-.f64 x (hypot.f64 1 x)) -1/6) (/.f64 1 (cbrt.f64 (-.f64 x (hypot.f64 1 x)))))
(/.f64 (pow.f64 (-.f64 x (hypot.f64 1 x)) -1/6) (cbrt.f64 (-.f64 x (hypot.f64 1 x))))
(*.f64 (pow.f64 -1 -1/2) (pow.f64 (-.f64 x (hypot.f64 1 x)) -1/2))
(*.f64 (pow.f64 (E.f64) (log.f64 (cbrt.f64 (/.f64 1 (-.f64 x (hypot.f64 1 x)))))) (pow.f64 (E.f64) (log.f64 (pow.f64 (-.f64 x (hypot.f64 1 x)) -1/6))))
(*.f64 (pow.f64 (E.f64) (log.f64 (cbrt.f64 (/.f64 1 (-.f64 x (hypot.f64 1 x)))))) (pow.f64 (E.f64) (*.f64 -1/6 (log.f64 (-.f64 x (hypot.f64 1 x))))))
(*.f64 (pow.f64 (E.f64) (log.f64 (cbrt.f64 (/.f64 1 (-.f64 x (hypot.f64 1 x)))))) (pow.f64 (E.f64) (*.f64 (log.f64 (-.f64 x (hypot.f64 1 x))) -1/6)))
(*.f64 (pow.f64 (-.f64 x (hypot.f64 1 x)) -1/6) (pow.f64 (E.f64) (log.f64 (cbrt.f64 (/.f64 1 (-.f64 x (hypot.f64 1 x)))))))
(*.f64 (pow.f64 (E.f64) (*.f64 -1/4 (log.f64 (-.f64 x (hypot.f64 1 x))))) (pow.f64 (E.f64) (*.f64 -1/4 (log.f64 (-.f64 x (hypot.f64 1 x))))))
(pow.f64 (-.f64 x (hypot.f64 1 x)) -1/2)
(*.f64 (pow.f64 (exp.f64 -1/2) (log.f64 (sqrt.f64 (-.f64 x (hypot.f64 1 x))))) (pow.f64 (exp.f64 -1/2) (log.f64 (sqrt.f64 (-.f64 x (hypot.f64 1 x))))))
(pow.f64 (exp.f64 -1/2) (*.f64 2 (log.f64 (sqrt.f64 (-.f64 x (hypot.f64 1 x))))))
(*.f64 (pow.f64 (exp.f64 -1/2) (log.f64 -1)) (pow.f64 (-.f64 x (hypot.f64 1 x)) -1/2))
(*.f64 (pow.f64 (-.f64 x (hypot.f64 1 x)) -1/2) (pow.f64 (exp.f64 -1/2) (log.f64 -1)))
(*.f64 (pow.f64 (exp.f64 -1/2) (*.f64 2 (log.f64 (cbrt.f64 (-.f64 x (hypot.f64 1 x)))))) (pow.f64 (exp.f64 -1/2) (log.f64 (cbrt.f64 (-.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 -1/2) (log.f64 (cbrt.f64 (-.f64 x (hypot.f64 1 x))))) 3)
(/.f64 (pow.f64 (E.f64) (exp.f64 (log1p.f64 (*.f64 -1/2 (log.f64 (-.f64 x (hypot.f64 1 x))))))) (E.f64))
(pow.f64 (-.f64 x (hypot.f64 1 x)) -1/2)
(/.f64 (pow.f64 (exp.f64 -1/2) (log.f64 (-.f64 (*.f64 x x) (fma.f64 x x 1)))) (pow.f64 (exp.f64 -1/2) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(/.f64 (pow.f64 (exp.f64 -1/2) (log.f64 -1)) (pow.f64 (exp.f64 -1/2) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(/.f64 (pow.f64 (exp.f64 -1/2) (log.f64 (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))) (pow.f64 (exp.f64 -1/2) (log.f64 (fma.f64 x x (fma.f64 x (hypot.f64 1 x) (fma.f64 x x 1))))))
(sqrt.f64 (/.f64 1 (-.f64 x (hypot.f64 1 x))))
(log.f64 (exp.f64 (pow.f64 (-.f64 x (hypot.f64 1 x)) -1/2)))
(pow.f64 (-.f64 x (hypot.f64 1 x)) -1/2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (-.f64 x (hypot.f64 1 x)) -1/2))))
(pow.f64 (-.f64 x (hypot.f64 1 x)) -1/2)
(cbrt.f64 (pow.f64 (-.f64 x (hypot.f64 1 x)) -3/2))
(pow.f64 (-.f64 x (hypot.f64 1 x)) -1/2)
(expm1.f64 (log1p.f64 (pow.f64 (-.f64 x (hypot.f64 1 x)) -1/2)))
(pow.f64 (-.f64 x (hypot.f64 1 x)) -1/2)
(exp.f64 (*.f64 -1/2 (log.f64 (-.f64 x (hypot.f64 1 x)))))
(pow.f64 (-.f64 x (hypot.f64 1 x)) -1/2)
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 x (hypot.f64 1 x))) 1) -1/2))
(pow.f64 (-.f64 x (hypot.f64 1 x)) -1/2)
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 x (hypot.f64 1 x)) -1/6)) 3))
(pow.f64 (-.f64 x (hypot.f64 1 x)) -1/2)
(exp.f64 (*.f64 (*.f64 2 (log.f64 (-.f64 x (hypot.f64 1 x)))) -1/4))
(pow.f64 (-.f64 x (hypot.f64 1 x)) -1/2)
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 x (hypot.f64 1 x)) -3/2)) 1/3))
(pow.f64 (-.f64 x (hypot.f64 1 x)) -1/2)
(exp.f64 (*.f64 (*.f64 -1/4 (log.f64 (-.f64 x (hypot.f64 1 x)))) 2))
(pow.f64 (-.f64 x (hypot.f64 1 x)) -1/2)
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 x (hypot.f64 1 x))) -1/4) 2))
(pow.f64 (-.f64 x (hypot.f64 1 x)) -1/2)
(exp.f64 (+.f64 (*.f64 -1/4 (log.f64 (-.f64 x (hypot.f64 1 x)))) (*.f64 (log.f64 (-.f64 x (hypot.f64 1 x))) -1/4)))
(pow.f64 (-.f64 x (hypot.f64 1 x)) -1/2)
(exp.f64 (+.f64 (*.f64 (log.f64 (-.f64 x (hypot.f64 1 x))) -1/4) (*.f64 -1/4 (log.f64 (-.f64 x (hypot.f64 1 x))))))
(pow.f64 (-.f64 x (hypot.f64 1 x)) -1/2)
(exp.f64 (+.f64 (*.f64 (log.f64 (-.f64 x (hypot.f64 1 x))) -1/4) (*.f64 (log.f64 (-.f64 x (hypot.f64 1 x))) -1/4)))
(pow.f64 (-.f64 x (hypot.f64 1 x)) -1/2)
(log1p.f64 (expm1.f64 (pow.f64 (-.f64 x (hypot.f64 1 x)) -1/2)))
(pow.f64 (-.f64 x (hypot.f64 1 x)) -1/2)

eval265.0ms (2.8%)

Compiler

Compiled 11895 to 9286 computations (21.9% saved)

prune103.0ms (1.1%)

Pruning

11 alts after pruning (3 fresh and 8 done)

PrunedKeptTotal
New6382640
Fresh011
Picked101
Done189
Total64011651
Accurracy
100.0%
Counts
651 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.6%
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x)))
52.1%
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x))
51.6%
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
29.2%
(neg.f64 (log.f64 (/.f64 1 (+.f64 x (hypot.f64 1 x)))))
30.3%
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
26.2%
(neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x))))
25.2%
(log.f64 (/.f64 -1/2 x))
24.9%
(log.f64 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))))
29.2%
(log.f64 (+.f64 x (hypot.f64 1 x)))
24.0%
(log.f64 (+.f64 x x))
53.5%
x
Compiler

Compiled 100 to 77 computations (23% saved)

regimes50.0ms (0.5%)

Counts
15 → 3
Calls
Call 1
Inputs
x
(log.f64 (+.f64 x x))
(log.f64 (/.f64 -1/2 x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x))))
(log.f64 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))))
(log.f64 (/.f64 -1 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
(neg.f64 (log.f64 (/.f64 1 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x))
(*.f64 2 (log.f64 (pow.f64 (neg.f64 (-.f64 x (hypot.f64 1 x))) -1/2)))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x)))
Outputs
(neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x))))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x)))
(log.f64 (+.f64 x (hypot.f64 1 x)))
Calls

3 calls:

25.0ms
x
10.0ms
(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
10.0ms
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
Results
AccuracySegmentsBranch
100.0%3x
88.6%4(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
88.6%4(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
Compiler

Compiled 151 to 112 computations (25.8% saved)

bsearch38.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
18.0ms
0.011621079921774871
53.44854882680292
20.0ms
-104567.2995512304
-0.0029066342827838623
Results
32.0ms272×body256valid
Compiler

Compiled 534 to 428 computations (19.9% saved)

regimes46.0ms (0.5%)

Counts
14 → 3
Calls
Call 1
Inputs
x
(log.f64 (+.f64 x x))
(log.f64 (/.f64 -1/2 x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x))))
(log.f64 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))))
(log.f64 (/.f64 -1 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
(neg.f64 (log.f64 (/.f64 1 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x))
(*.f64 2 (log.f64 (pow.f64 (neg.f64 (-.f64 x (hypot.f64 1 x))) -1/2)))
Outputs
(neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x))))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x))
(neg.f64 (log.f64 (/.f64 1 (+.f64 x (hypot.f64 1 x)))))
Calls

3 calls:

21.0ms
x
11.0ms
(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
10.0ms
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
Results
AccuracySegmentsBranch
100.0%3x
88.6%4(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
88.6%4(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
Compiler

Compiled 132 to 97 computations (26.5% saved)

bsearch42.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
22.0ms
2.8251739593033527e-21
0.011621079921774871
20.0ms
-104567.2995512304
-0.0029066342827838623
Results
35.0ms304×body256valid
Compiler

Compiled 508 to 409 computations (19.5% saved)

regimes43.0ms (0.5%)

Counts
12 → 3
Calls
Call 1
Inputs
x
(log.f64 (+.f64 x x))
(log.f64 (/.f64 -1/2 x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x))))
(log.f64 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))))
(log.f64 (/.f64 -1 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
(neg.f64 (log.f64 (/.f64 1 (+.f64 x (hypot.f64 1 x)))))
Outputs
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
x
(neg.f64 (log.f64 (/.f64 1 (+.f64 x (hypot.f64 1 x)))))
Calls

3 calls:

20.0ms
x
10.0ms
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
8.0ms
(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
Results
AccuracySegmentsBranch
99.9%3x
88.5%4(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
88.5%4(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
Compiler

Compiled 108 to 78 computations (27.8% saved)

bsearch43.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
24.0ms
2.8251739593033527e-21
0.011621079921774871
20.0ms
-0.001403982838302386
-2.949384091519923e-9
Results
40.0ms304×body256valid
Compiler

Compiled 262 to 201 computations (23.3% saved)

regimes41.0ms (0.4%)

Counts
11 → 3
Calls
Call 1
Inputs
x
(log.f64 (+.f64 x x))
(log.f64 (/.f64 -1/2 x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x))))
(log.f64 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))))
(log.f64 (/.f64 -1 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
Outputs
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
x
(log.f64 (+.f64 x (hypot.f64 1 x)))
Calls

3 calls:

18.0ms
x
11.0ms
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
8.0ms
(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
Results
AccuracySegmentsBranch
99.9%3x
88.5%4(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
88.5%4(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
Compiler

Compiled 99 to 71 computations (28.3% saved)

bsearch42.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
22.0ms
2.8251739593033527e-21
0.011621079921774871
20.0ms
-0.001403982838302386
-2.949384091519923e-9
Results
39.0ms304×body256valid
Compiler

Compiled 232 to 171 computations (26.3% saved)

regimes19.0ms (0.2%)

Counts
8 → 3
Calls
Call 1
Inputs
x
(log.f64 (+.f64 x x))
(log.f64 (/.f64 -1/2 x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x))))
(log.f64 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))))
(log.f64 (/.f64 -1 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
Outputs
(neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x))))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(log.f64 (+.f64 x (hypot.f64 1 x)))
Calls

1 calls:

15.0ms
x
Results
AccuracySegmentsBranch
99.8%3x
Compiler

Compiled 56 to 41 computations (26.8% saved)

bsearch41.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
21.0ms
2.8251739593033527e-21
0.011621079921774871
20.0ms
-104567.2995512304
-0.0029066342827838623
Results
37.0ms304×body256valid
Compiler

Compiled 364 to 284 computations (22% saved)

regimes16.0ms (0.2%)

Counts
7 → 3
Calls
Call 1
Inputs
x
(log.f64 (+.f64 x x))
(log.f64 (/.f64 -1/2 x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x))))
(log.f64 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))))
(log.f64 (/.f64 -1 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))))
Outputs
(neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x))))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(log.f64 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))))
Calls

1 calls:

14.0ms
x
Results
AccuracySegmentsBranch
99.6%3x
Compiler

Compiled 50 to 37 computations (26% saved)

bsearch35.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
16.0ms
0.011621079921774871
53.44854882680292
19.0ms
-104567.2995512304
-0.0029066342827838623
Results
31.0ms272×body256valid
Compiler

Compiled 362 to 290 computations (19.9% saved)

regimes14.0ms (0.1%)

Counts
5 → 3
Calls
Call 1
Inputs
x
(log.f64 (+.f64 x x))
(log.f64 (/.f64 -1/2 x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x))))
Outputs
(neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x))))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(log.f64 (+.f64 x x))
Calls

1 calls:

12.0ms
x
Results
AccuracySegmentsBranch
99.3%3x
Compiler

Compiled 28 to 19 computations (32.1% saved)

bsearch34.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
16.0ms
0.011621079921774871
53.44854882680292
18.0ms
-104567.2995512304
-0.0029066342827838623
Results
30.0ms272×body256valid
Compiler

Compiled 314 to 242 computations (22.9% saved)

regimes11.0ms (0.1%)

Counts
4 → 3
Calls
Call 1
Inputs
x
(log.f64 (+.f64 x x))
(log.f64 (/.f64 -1/2 x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
Outputs
(log.f64 (/.f64 -1/2 x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(log.f64 (+.f64 x x))
Calls

1 calls:

10.0ms
x
Results
AccuracySegmentsBranch
99.3%3x
Compiler

Compiled 19 to 12 computations (36.8% saved)

bsearch34.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
16.0ms
0.011621079921774871
53.44854882680292
18.0ms
-104567.2995512304
-0.0029066342827838623
Results
31.0ms272×body256valid
Compiler

Compiled 269 to 206 computations (23.4% saved)

regimes10.0ms (0.1%)

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

1 calls:

9.0ms
x
Results
AccuracySegmentsBranch
98.9%3x
Compiler

Compiled 12 to 7 computations (41.7% saved)

bsearch33.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
15.0ms
0.011621079921774871
53.44854882680292
18.0ms
-104567.2995512304
-0.0029066342827838623
Results
30.0ms272×body256valid
Compiler

Compiled 167 to 121 computations (27.5% saved)

regimes6.0ms (0.1%)

Accuracy

Total -47.3b remaining (-303.5%)

Threshold costs -47.3b (-303.5%)

Counts
2 → 2
Calls
Call 1
Inputs
x
(log.f64 (+.f64 x x))
Outputs
x
(log.f64 (+.f64 x x))
Calls

1 calls:

6.0ms
x
Results
AccuracySegmentsBranch
75.7%2x
Compiler

Compiled 8 to 4 computations (50% saved)

bsearch15.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
15.0ms
0.011621079921774871
53.44854882680292
Results
14.0ms128×body256valid
Compiler

Compiled 86 to 58 computations (32.6% saved)

simplify20.0ms (0.2%)

Algorithm
egg-herbie
Rules
32×+-commutative
24×*-commutative
16×sub-neg
12×neg-mul-1
12×neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
090721
1117721
2131721
3140721
4144721
5145721
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(if (<=.f64 x -4728779608739021/4503599627370496) (neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))) (if (<=.f64 x 3314649325744685/144115188075855872) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x))) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -4728779608739021/4503599627370496) (neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))) (if (<=.f64 x 5188146770730811/576460752303423488) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x)) (neg.f64 (log.f64 (/.f64 1 (+.f64 x (hypot.f64 1 x)))))))
(if (<=.f64 x -8264141345021879/1180591620717411303424) (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (if (<=.f64 x 3659834024223975/590295810358705651712) x (neg.f64 (log.f64 (/.f64 1 (+.f64 x (hypot.f64 1 x)))))))
(if (<=.f64 x -8264141345021879/1180591620717411303424) (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (if (<=.f64 x 3659834024223975/590295810358705651712) x (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -4278419646001971/4503599627370496) (neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))) (if (<=.f64 x 7378697629483821/9223372036854775808) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -4278419646001971/4503599627370496) (neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))) (if (<=.f64 x 1080863910568919/1125899906842624) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) (log.f64 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))))))
(if (<=.f64 x -4278419646001971/4503599627370496) (neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))) (if (<=.f64 x 5/4) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) (log.f64 (+.f64 x x))))
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5/4) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) (log.f64 (+.f64 x x))))
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5/4) x (log.f64 (+.f64 x x))))
(if (<=.f64 x 5/4) x (log.f64 (+.f64 x x)))
x
Outputs
(if (<=.f64 x -4728779608739021/4503599627370496) (neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))) (if (<=.f64 x 3314649325744685/144115188075855872) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x))) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -4728779608739021/4503599627370496) (neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))) (if (<=.f64 x 3314649325744685/144115188075855872) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 x (*.f64 -5/112 (pow.f64 x 7))))) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -4728779608739021/4503599627370496) (neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))) (if (<=.f64 x 5188146770730811/576460752303423488) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x)) (neg.f64 (log.f64 (/.f64 1 (+.f64 x (hypot.f64 1 x)))))))
(if (<=.f64 x -4728779608739021/4503599627370496) (neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))) (if (<=.f64 x 5188146770730811/576460752303423488) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 x (*.f64 3/40 (pow.f64 x 5)))) (neg.f64 (log.f64 (/.f64 1 (+.f64 x (hypot.f64 1 x)))))))
(if (<=.f64 x -8264141345021879/1180591620717411303424) (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (if (<=.f64 x 3659834024223975/590295810358705651712) x (neg.f64 (log.f64 (/.f64 1 (+.f64 x (hypot.f64 1 x)))))))
(if (<=.f64 x -8264141345021879/1180591620717411303424) (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (if (<=.f64 x 3659834024223975/590295810358705651712) x (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -4278419646001971/4503599627370496) (neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))) (if (<=.f64 x 7378697629483821/9223372036854775808) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -4278419646001971/4503599627370496) (neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))) (if (<=.f64 x 7378697629483821/9223372036854775808) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -4278419646001971/4503599627370496) (neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))) (if (<=.f64 x 1080863910568919/1125899906842624) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) (log.f64 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))))))
(if (<=.f64 x -4278419646001971/4503599627370496) (neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))) (if (<=.f64 x 1080863910568919/1125899906842624) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (log.f64 (+.f64 (*.f64 x 2) (*.f64 1/2 (/.f64 1 x))))))
(if (<=.f64 x -4278419646001971/4503599627370496) (neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))) (if (<=.f64 x 5/4) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) (log.f64 (+.f64 x x))))
(if (<=.f64 x -4278419646001971/4503599627370496) (neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))) (if (<=.f64 x 5/4) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (log.f64 (+.f64 x x))))
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5/4) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) (log.f64 (+.f64 x x))))
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5/4) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (log.f64 (+.f64 x x))))
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5/4) x (log.f64 (+.f64 x x))))
(if (<=.f64 x 5/4) x (log.f64 (+.f64 x x)))
x
Compiler

Compiled 281 to 206 computations (26.7% saved)

soundness873.0ms (9.3%)

Rules
1610×pow1
1590×pow1
1522×fma-def
1522×fma-def
1484×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01023
11617
21717
0830
115830
2199930
02142548
15482180
217102040
366102040
01055
120455
2250955
063210286
115689862
249029308
02242687
16022219
220522051
376992051
02142548
15482180
217102040
366102040
0830
115930
2200830
02242687
16022219
220522051
376992051
Stop Event
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
saturated
Compiler

Compiled 759 to 521 computations (31.4% saved)

end239.0ms (2.5%)

Compiler

Compiled 612 to 428 computations (30.1% saved)

Profiling

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