Details

Time bar (total: 10.3s)

analyze4.0ms (0%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
50%50%50%0%0%0%0%3
66.7%50%25%0%25%0%0%4
80%50%12.5%0%37.5%0%0%5
88.9%50%6.2%0%43.7%0%0%6
94.1%50%3.1%0%46.9%0%0%7
97%50%1.6%0%48.4%0%0%8
98.5%50%0.8%0%49.2%0%0%9
99.2%50.4%0.4%0%49.2%0%0%10
99.6%50.4%0.2%0%49.4%0%0%11
99.8%50.4%0.1%0%49.5%0%0%12
Compiler

Compiled 10 to 8 computations (20% saved)

sample4.9s (47.7%)

Results
3.7s4359×body2048valid
823.0ms2045×body1024valid
227.0ms1015×body512valid
110.0ms837×body256valid
1.0ms12×body256infinite
Bogosity

preprocess70.0ms (0.7%)

Algorithm
2×egg-herbie
Rules
1244×fma-def
908×associate-/r*
792×associate-/l*
784×associate-+r-
752×associate-+r+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01025
12225
23725
35925
412725
528925
676325
7172825
8293425
9683825
011
Stop Event
1×saturated
1×node limit
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))
Outputs
(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))
(+.f64 (+.f64 (exp.f64 x) -2) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 x) (+.f64 -2 (exp.f64 (neg.f64 x))))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))
(-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))
Compiler

Compiled 10 to 8 computations (20% saved)

simplify75.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
1244×fma-def
908×associate-/r*
792×associate-/l*
784×associate-+r-
752×associate-+r+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01025
12225
23725
35925
412725
528925
676325
7172825
8293425
9683825
Stop Event
1×node limit
Counts
1 → 5
Calls
Call 1
Inputs
(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))
Outputs
(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))
(+.f64 (+.f64 (exp.f64 x) -2) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 x) (+.f64 -2 (exp.f64 (neg.f64 x))))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))
(-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))

eval1.0ms (0%)

Compiler

Compiled 41 to 19 computations (53.7% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New415
Fresh101
Picked000
Done000
Total516
Error
28.1b
Counts
6 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶28.1b
(-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))
Compiler

Compiled 9 to 7 computations (22.2% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 2 (exp.f64 x))
✓2.6b
(-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))
Compiler

Compiled 22 to 10 computations (54.5% saved)

series1.0ms (0%)

Counts
2 → 16
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@0
(-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))
0.0ms
x
@inf
(-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))
0.0ms
x
@-inf
(-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))
0.0ms
x
@0
(-.f64 2 (exp.f64 x))
0.0ms
x
@-inf
(-.f64 2 (exp.f64 x))

rewrite123.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
1288×associate-*r/
910×associate-*l/
842×*-commutative
574×distribute-lft-in
560×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01036
122132
2308932
Stop Event
1×node limit
Counts
2 → 197
Calls
Call 1
Inputs
(-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))
(-.f64 2 (exp.f64 x))
Outputs
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simplify167.0ms (1.6%)

Algorithm
1×egg-herbie
Rules
654×associate-/l*
652×associate-*r*
602×fma-def
590×associate-*l*
518×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
057413839
1178212127
Stop Event
1×node limit
Counts
213 → 331
Calls
Call 1
Inputs
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))))
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2)
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2)
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2)
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2)
1
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x))))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) -2))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 (exp.f64 (neg.f64 x)) -2) (fma.f64 (+.f64 (exp.f64 (neg.f64 x)) -2) 1 (-.f64 2 (exp.f64 x)))))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 (exp.f64 (neg.f64 x)) -2) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 2 (exp.f64 x)))) (sqrt.f64 (-.f64 2 (exp.f64 x))) (-.f64 2 (exp.f64 x)))))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 (exp.f64 (neg.f64 x)) -2) (fma.f64 (neg.f64 (cbrt.f64 (-.f64 2 (exp.f64 x)))) (pow.f64 (cbrt.f64 (-.f64 2 (exp.f64 x))) 2) (-.f64 2 (exp.f64 x)))))
(+.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) (fma.f64 (+.f64 (exp.f64 (neg.f64 x)) -2) 1 (-.f64 2 (exp.f64 x))))
(+.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 2 (exp.f64 x)))) (sqrt.f64 (-.f64 2 (exp.f64 x))) (-.f64 2 (exp.f64 x))))
(+.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (-.f64 2 (exp.f64 x)))) (pow.f64 (cbrt.f64 (-.f64 2 (exp.f64 x))) 2) (-.f64 2 (exp.f64 x))))
(+.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) (+.f64 (fma.f64 (+.f64 (exp.f64 (neg.f64 x)) -2) 1 (-.f64 2 (exp.f64 x))) (fma.f64 (+.f64 (exp.f64 (neg.f64 x)) -2) 1 (-.f64 2 (exp.f64 x)))))
(+.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 2 (exp.f64 x)))) (sqrt.f64 (-.f64 2 (exp.f64 x))) (-.f64 2 (exp.f64 x))) (fma.f64 (+.f64 (exp.f64 (neg.f64 x)) -2) 1 (-.f64 2 (exp.f64 x)))))
(+.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (-.f64 2 (exp.f64 x)))) (pow.f64 (cbrt.f64 (-.f64 2 (exp.f64 x))) 2) (-.f64 2 (exp.f64 x))) (fma.f64 (+.f64 (exp.f64 (neg.f64 x)) -2) 1 (-.f64 2 (exp.f64 x)))))
(+.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) (+.f64 (fma.f64 (+.f64 (exp.f64 (neg.f64 x)) -2) 1 (-.f64 2 (exp.f64 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 2 (exp.f64 x)))) (sqrt.f64 (-.f64 2 (exp.f64 x))) (-.f64 2 (exp.f64 x)))))
(+.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 2 (exp.f64 x)))) (sqrt.f64 (-.f64 2 (exp.f64 x))) (-.f64 2 (exp.f64 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 2 (exp.f64 x)))) (sqrt.f64 (-.f64 2 (exp.f64 x))) (-.f64 2 (exp.f64 x)))))
(+.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (-.f64 2 (exp.f64 x)))) (pow.f64 (cbrt.f64 (-.f64 2 (exp.f64 x))) 2) (-.f64 2 (exp.f64 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 2 (exp.f64 x)))) (sqrt.f64 (-.f64 2 (exp.f64 x))) (-.f64 2 (exp.f64 x)))))
(+.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) (+.f64 (fma.f64 (+.f64 (exp.f64 (neg.f64 x)) -2) 1 (-.f64 2 (exp.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (-.f64 2 (exp.f64 x)))) (pow.f64 (cbrt.f64 (-.f64 2 (exp.f64 x))) 2) (-.f64 2 (exp.f64 x)))))
(+.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 2 (exp.f64 x)))) (sqrt.f64 (-.f64 2 (exp.f64 x))) (-.f64 2 (exp.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (-.f64 2 (exp.f64 x)))) (pow.f64 (cbrt.f64 (-.f64 2 (exp.f64 x))) 2) (-.f64 2 (exp.f64 x)))))
(+.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (-.f64 2 (exp.f64 x)))) (pow.f64 (cbrt.f64 (-.f64 2 (exp.f64 x))) 2) (-.f64 2 (exp.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (-.f64 2 (exp.f64 x)))) (pow.f64 (cbrt.f64 (-.f64 2 (exp.f64 x))) 2) (-.f64 2 (exp.f64 x)))))
(+.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) (*.f64 1 (fma.f64 (+.f64 (exp.f64 (neg.f64 x)) -2) 1 (-.f64 2 (exp.f64 x)))))
(+.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) (*.f64 1 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 2 (exp.f64 x)))) (sqrt.f64 (-.f64 2 (exp.f64 x))) (-.f64 2 (exp.f64 x)))))
(+.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) (*.f64 1 (fma.f64 (neg.f64 (cbrt.f64 (-.f64 2 (exp.f64 x)))) (pow.f64 (cbrt.f64 (-.f64 2 (exp.f64 x))) 2) (-.f64 2 (exp.f64 x)))))
(+.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) (*.f64 (fma.f64 (+.f64 (exp.f64 (neg.f64 x)) -2) 1 (-.f64 2 (exp.f64 x))) 1))
(+.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) (*.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 2 (exp.f64 x)))) (sqrt.f64 (-.f64 2 (exp.f64 x))) (-.f64 2 (exp.f64 x))) 1))
(+.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) (*.f64 (fma.f64 (neg.f64 (cbrt.f64 (-.f64 2 (exp.f64 x)))) (pow.f64 (cbrt.f64 (-.f64 2 (exp.f64 x))) 2) (-.f64 2 (exp.f64 x))) 1))
(+.f64 (+.f64 (exp.f64 (neg.f64 x)) -2) (exp.f64 (neg.f64 x)))
(+.f64 (+.f64 (exp.f64 (neg.f64 x)) -2) (neg.f64 (neg.f64 (exp.f64 (neg.f64 x)))))
(+.f64 (+.f64 (exp.f64 (neg.f64 x)) -2) (+.f64 (exp.f64 (neg.f64 x)) (fma.f64 (+.f64 (exp.f64 (neg.f64 x)) -2) 1 (-.f64 2 (exp.f64 x)))))
(+.f64 (+.f64 (exp.f64 (neg.f64 x)) -2) (+.f64 (exp.f64 (neg.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 2 (exp.f64 x)))) (sqrt.f64 (-.f64 2 (exp.f64 x))) (-.f64 2 (exp.f64 x)))))
(+.f64 (+.f64 (exp.f64 (neg.f64 x)) -2) (+.f64 (exp.f64 (neg.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (-.f64 2 (exp.f64 x)))) (pow.f64 (cbrt.f64 (-.f64 2 (exp.f64 x))) 2) (-.f64 2 (exp.f64 x)))))
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(/.f64 (*.f64 (-.f64 4 (*.f64 (neg.f64 (exp.f64 x)) (neg.f64 (exp.f64 x)))) 1) (+.f64 (exp.f64 x) 2))
(/.f64 (*.f64 (+.f64 8 (pow.f64 (neg.f64 (exp.f64 x)) 3)) 1) (+.f64 4 (-.f64 (*.f64 (neg.f64 (exp.f64 x)) (neg.f64 (exp.f64 x))) (*.f64 2 (neg.f64 (exp.f64 x))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 8 (pow.f64 (exp.f64 x) 3))) (sqrt.f64 (-.f64 2 (exp.f64 x)))) (sqrt.f64 (+.f64 4 (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) 2)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 4 (pow.f64 (exp.f64 x) 2))) (sqrt.f64 (-.f64 2 (exp.f64 x)))) (sqrt.f64 (+.f64 (exp.f64 x) 2)))
(/.f64 (*.f64 (cbrt.f64 (-.f64 8 (pow.f64 (exp.f64 x) 3))) (pow.f64 (cbrt.f64 (-.f64 2 (exp.f64 x))) 2)) (cbrt.f64 (+.f64 4 (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) 2)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 4 (pow.f64 (exp.f64 x) 2))) (pow.f64 (cbrt.f64 (-.f64 2 (exp.f64 x))) 2)) (cbrt.f64 (+.f64 (exp.f64 x) 2)))
(/.f64 (*.f64 (-.f64 16 (/.f64 (pow.f64 (exp.f64 x) 3) (exp.f64 x))) (/.f64 1 (+.f64 (exp.f64 x) 2))) (+.f64 (pow.f64 (exp.f64 x) 2) 4))
(/.f64 (*.f64 (-.f64 64 (pow.f64 (pow.f64 (exp.f64 x) 2) 3)) (/.f64 1 (+.f64 (exp.f64 x) 2))) (+.f64 (+.f64 16 (/.f64 (pow.f64 (exp.f64 x) 3) (exp.f64 x))) (*.f64 (pow.f64 (exp.f64 x) 2) 4)))
(/.f64 (*.f64 (-.f64 64 (*.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 x) 3))) (/.f64 1 (+.f64 4 (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) 2))))) (+.f64 8 (pow.f64 (exp.f64 x) 3)))
(/.f64 (*.f64 (-.f64 512 (pow.f64 (pow.f64 (exp.f64 x) 3) 3)) (/.f64 1 (+.f64 4 (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) 2))))) (+.f64 64 (+.f64 (*.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 x) 3)) (*.f64 8 (pow.f64 (exp.f64 x) 3)))))
(/.f64 (/.f64 (-.f64 4 (pow.f64 (exp.f64 x) 2)) 1) (+.f64 (exp.f64 x) 2))
(/.f64 (/.f64 (-.f64 4 (pow.f64 (exp.f64 x) 2)) (sqrt.f64 (+.f64 (exp.f64 x) 2))) (sqrt.f64 (+.f64 (exp.f64 x) 2)))
(/.f64 (/.f64 (-.f64 4 (pow.f64 (exp.f64 x) 2)) (*.f64 (cbrt.f64 (+.f64 (exp.f64 x) 2)) (cbrt.f64 (+.f64 (exp.f64 x) 2)))) (cbrt.f64 (+.f64 (exp.f64 x) 2)))
(/.f64 (/.f64 (-.f64 8 (pow.f64 (exp.f64 x) 3)) 1) (+.f64 4 (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) 2))))
(/.f64 (/.f64 (-.f64 8 (pow.f64 (exp.f64 x) 3)) (sqrt.f64 (+.f64 4 (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) 2))))) (sqrt.f64 (+.f64 4 (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) 2)))))
(/.f64 (/.f64 (-.f64 8 (pow.f64 (exp.f64 x) 3)) (*.f64 (cbrt.f64 (+.f64 4 (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) 2)))) (cbrt.f64 (+.f64 4 (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) 2)))))) (cbrt.f64 (+.f64 4 (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) 2)))))
(pow.f64 (-.f64 2 (exp.f64 x)) 1)
(pow.f64 (sqrt.f64 (-.f64 2 (exp.f64 x))) 2)
(pow.f64 (cbrt.f64 (-.f64 2 (exp.f64 x))) 3)
(pow.f64 (pow.f64 (-.f64 2 (exp.f64 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 2 (exp.f64 x)) 2))
(log.f64 (exp.f64 (-.f64 2 (exp.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 2 (exp.f64 x)))))
(cbrt.f64 (pow.f64 (-.f64 2 (exp.f64 x)) 3))
(expm1.f64 (log.f64 (-.f64 3 (exp.f64 x))))
(exp.f64 (log.f64 (-.f64 2 (exp.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 2 (exp.f64 x))))
Outputs
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))))
(fma.f64 1/360 (pow.f64 x 6) (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4))))
(fma.f64 1/360 (pow.f64 x 6) (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x)))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))))
(fma.f64 1/360 (pow.f64 x 6) (+.f64 (*.f64 x x) (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/20160 (pow.f64 x 8)))))
(fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/20160 (pow.f64 x 8)))))
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2))
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2))
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2))
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2))
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2)
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2))
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2)
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2))
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2)
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2))
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2)
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2))
1
(+.f64 1 (*.f64 -1 x))
(+.f64 (neg.f64 x) 1)
(-.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 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x))))
(fma.f64 -1/6 (pow.f64 x 3) (+.f64 1 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x))))
(+.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) (fma.f64 -1/6 (pow.f64 x 3) 1))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) -2))
(+.f64 -2 (*.f64 2 (exp.f64 (neg.f64 x))))
(+.f64 -2 (/.f64 2 (exp.f64 x)))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 (exp.f64 (neg.f64 x)) -2) (fma.f64 (+.f64 (exp.f64 (neg.f64 x)) -2) 1 (-.f64 2 (exp.f64 x)))))
(+.f64 (+.f64 -2 (*.f64 2 (exp.f64 (neg.f64 x)))) (fma.f64 (+.f64 (exp.f64 (neg.f64 x)) -2) 1 (-.f64 2 (exp.f64 x))))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 -2 (+.f64 (+.f64 -2 (/.f64 2 (exp.f64 x))) (-.f64 2 (exp.f64 x)))))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 (exp.f64 (neg.f64 x)) -2) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 2 (exp.f64 x)))) (sqrt.f64 (-.f64 2 (exp.f64 x))) (-.f64 2 (exp.f64 x)))))
(+.f64 (+.f64 -2 (*.f64 2 (exp.f64 (neg.f64 x)))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 2 (exp.f64 x)))) (sqrt.f64 (-.f64 2 (exp.f64 x))) (-.f64 2 (exp.f64 x))))
(+.f64 -2 (+.f64 (/.f64 2 (exp.f64 x)) (+.f64 (-.f64 2 (exp.f64 x)) (+.f64 (exp.f64 x) -2))))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 (exp.f64 (neg.f64 x)) -2) (fma.f64 (neg.f64 (cbrt.f64 (-.f64 2 (exp.f64 x)))) (pow.f64 (cbrt.f64 (-.f64 2 (exp.f64 x))) 2) (-.f64 2 (exp.f64 x)))))
(+.f64 (+.f64 -2 (*.f64 2 (exp.f64 (neg.f64 x)))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 2 (exp.f64 x)))) (sqrt.f64 (-.f64 2 (exp.f64 x))) (-.f64 2 (exp.f64 x))))
(+.f64 -2 (+.f64 (/.f64 2 (exp.f64 x)) (+.f64 (-.f64 2 (exp.f64 x)) (+.f64 (exp.f64 x) -2))))
(+.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) (fma.f64 (+.f64 (exp.f64 (neg.f64 x)) -2) 1 (-.f64 2 (exp.f64 x))))
(+.f64 (+.f64 -2 (*.f64 2 (exp.f64 (neg.f64 x)))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 2 (exp.f64 x)))) (sqrt.f64 (-.f64 2 (exp.f64 x))) (-.f64 2 (exp.f64 x))))
(+.f64 -2 (+.f64 (/.f64 2 (exp.f64 x)) (+.f64 (-.f64 2 (exp.f64 x)) (+.f64 (exp.f64 x) -2))))
(+.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 2 (exp.f64 x)))) (sqrt.f64 (-.f64 2 (exp.f64 x))) (-.f64 2 (exp.f64 x))))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 2 (exp.f64 x)))) (sqrt.f64 (-.f64 2 (exp.f64 x))) (-.f64 2 (exp.f64 x))) (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))))
(+.f64 (+.f64 (-.f64 2 (exp.f64 x)) (+.f64 (exp.f64 x) -2)) (+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2)))
(+.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (-.f64 2 (exp.f64 x)))) (pow.f64 (cbrt.f64 (-.f64 2 (exp.f64 x))) 2) (-.f64 2 (exp.f64 x))))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 2 (exp.f64 x)))) (sqrt.f64 (-.f64 2 (exp.f64 x))) (-.f64 2 (exp.f64 x))) (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))))
(+.f64 (+.f64 (-.f64 2 (exp.f64 x)) (+.f64 (exp.f64 x) -2)) (+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2)))
(+.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) (+.f64 (fma.f64 (+.f64 (exp.f64 (neg.f64 x)) -2) 1 (-.f64 2 (exp.f64 x))) (fma.f64 (+.f64 (exp.f64 (neg.f64 x)) -2) 1 (-.f64 2 (exp.f64 x)))))
(+.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) (*.f64 2 (fma.f64 (+.f64 (exp.f64 (neg.f64 x)) -2) 1 (-.f64 2 (exp.f64 x)))))
(fma.f64 2 (+.f64 (+.f64 (exp.f64 (neg.f64 x)) -2) (-.f64 2 (exp.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2)))
(+.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 2 (exp.f64 x)))) (sqrt.f64 (-.f64 2 (exp.f64 x))) (-.f64 2 (exp.f64 x))) (fma.f64 (+.f64 (exp.f64 (neg.f64 x)) -2) 1 (-.f64 2 (exp.f64 x)))))
(+.f64 (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 2 (exp.f64 x)))) (sqrt.f64 (-.f64 2 (exp.f64 x))) (-.f64 2 (exp.f64 x))) (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))) (fma.f64 (+.f64 (exp.f64 (neg.f64 x)) -2) 1 (-.f64 2 (exp.f64 x))))
(+.f64 (+.f64 (-.f64 2 (exp.f64 x)) (+.f64 (exp.f64 x) -2)) (+.f64 -2 (+.f64 (/.f64 2 (exp.f64 x)) (+.f64 (-.f64 2 (exp.f64 x)) (+.f64 (exp.f64 x) -2)))))
(+.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (-.f64 2 (exp.f64 x)))) (pow.f64 (cbrt.f64 (-.f64 2 (exp.f64 x))) 2) (-.f64 2 (exp.f64 x))) (fma.f64 (+.f64 (exp.f64 (neg.f64 x)) -2) 1 (-.f64 2 (exp.f64 x)))))
(+.f64 (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 2 (exp.f64 x)))) (sqrt.f64 (-.f64 2 (exp.f64 x))) (-.f64 2 (exp.f64 x))) (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))) (fma.f64 (+.f64 (exp.f64 (neg.f64 x)) -2) 1 (-.f64 2 (exp.f64 x))))
(+.f64 (+.f64 (-.f64 2 (exp.f64 x)) (+.f64 (exp.f64 x) -2)) (+.f64 -2 (+.f64 (/.f64 2 (exp.f64 x)) (+.f64 (-.f64 2 (exp.f64 x)) (+.f64 (exp.f64 x) -2)))))
(+.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) (+.f64 (fma.f64 (+.f64 (exp.f64 (neg.f64 x)) -2) 1 (-.f64 2 (exp.f64 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 2 (exp.f64 x)))) (sqrt.f64 (-.f64 2 (exp.f64 x))) (-.f64 2 (exp.f64 x)))))
(+.f64 (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 2 (exp.f64 x)))) (sqrt.f64 (-.f64 2 (exp.f64 x))) (-.f64 2 (exp.f64 x))) (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))) (fma.f64 (+.f64 (exp.f64 (neg.f64 x)) -2) 1 (-.f64 2 (exp.f64 x))))
(+.f64 (+.f64 (-.f64 2 (exp.f64 x)) (+.f64 (exp.f64 x) -2)) (+.f64 -2 (+.f64 (/.f64 2 (exp.f64 x)) (+.f64 (-.f64 2 (exp.f64 x)) (+.f64 (exp.f64 x) -2)))))
(+.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 2 (exp.f64 x)))) (sqrt.f64 (-.f64 2 (exp.f64 x))) (-.f64 2 (exp.f64 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 2 (exp.f64 x)))) (sqrt.f64 (-.f64 2 (exp.f64 x))) (-.f64 2 (exp.f64 x)))))
(+.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) (*.f64 2 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 2 (exp.f64 x)))) (sqrt.f64 (-.f64 2 (exp.f64 x))) (-.f64 2 (exp.f64 x)))))
(fma.f64 2 (+.f64 (-.f64 2 (exp.f64 x)) (+.f64 (exp.f64 x) -2)) (+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2)))
(+.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (-.f64 2 (exp.f64 x)))) (pow.f64 (cbrt.f64 (-.f64 2 (exp.f64 x))) 2) (-.f64 2 (exp.f64 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 2 (exp.f64 x)))) (sqrt.f64 (-.f64 2 (exp.f64 x))) (-.f64 2 (exp.f64 x)))))
(+.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) (*.f64 2 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 2 (exp.f64 x)))) (sqrt.f64 (-.f64 2 (exp.f64 x))) (-.f64 2 (exp.f64 x)))))
(fma.f64 2 (+.f64 (-.f64 2 (exp.f64 x)) (+.f64 (exp.f64 x) -2)) (+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2)))
(+.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) (+.f64 (fma.f64 (+.f64 (exp.f64 (neg.f64 x)) -2) 1 (-.f64 2 (exp.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (-.f64 2 (exp.f64 x)))) (pow.f64 (cbrt.f64 (-.f64 2 (exp.f64 x))) 2) (-.f64 2 (exp.f64 x)))))
(+.f64 (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 2 (exp.f64 x)))) (sqrt.f64 (-.f64 2 (exp.f64 x))) (-.f64 2 (exp.f64 x))) (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))) (fma.f64 (+.f64 (exp.f64 (neg.f64 x)) -2) 1 (-.f64 2 (exp.f64 x))))
(+.f64 (+.f64 (-.f64 2 (exp.f64 x)) (+.f64 (exp.f64 x) -2)) (+.f64 -2 (+.f64 (/.f64 2 (exp.f64 x)) (+.f64 (-.f64 2 (exp.f64 x)) (+.f64 (exp.f64 x) -2)))))
(+.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 2 (exp.f64 x)))) (sqrt.f64 (-.f64 2 (exp.f64 x))) (-.f64 2 (exp.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (-.f64 2 (exp.f64 x)))) (pow.f64 (cbrt.f64 (-.f64 2 (exp.f64 x))) 2) (-.f64 2 (exp.f64 x)))))
(+.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) (*.f64 2 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 2 (exp.f64 x)))) (sqrt.f64 (-.f64 2 (exp.f64 x))) (-.f64 2 (exp.f64 x)))))
(fma.f64 2 (+.f64 (-.f64 2 (exp.f64 x)) (+.f64 (exp.f64 x) -2)) (+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2)))
(+.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (-.f64 2 (exp.f64 x)))) (pow.f64 (cbrt.f64 (-.f64 2 (exp.f64 x))) 2) (-.f64 2 (exp.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (-.f64 2 (exp.f64 x)))) (pow.f64 (cbrt.f64 (-.f64 2 (exp.f64 x))) 2) (-.f64 2 (exp.f64 x)))))
(+.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) (*.f64 2 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 2 (exp.f64 x)))) (sqrt.f64 (-.f64 2 (exp.f64 x))) (-.f64 2 (exp.f64 x)))))
(fma.f64 2 (+.f64 (-.f64 2 (exp.f64 x)) (+.f64 (exp.f64 x) -2)) (+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2)))
(+.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) (*.f64 1 (fma.f64 (+.f64 (exp.f64 (neg.f64 x)) -2) 1 (-.f64 2 (exp.f64 x)))))
(+.f64 (+.f64 -2 (*.f64 2 (exp.f64 (neg.f64 x)))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 2 (exp.f64 x)))) (sqrt.f64 (-.f64 2 (exp.f64 x))) (-.f64 2 (exp.f64 x))))
(+.f64 -2 (+.f64 (/.f64 2 (exp.f64 x)) (+.f64 (-.f64 2 (exp.f64 x)) (+.f64 (exp.f64 x) -2))))
(+.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) (*.f64 1 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 2 (exp.f64 x)))) (sqrt.f64 (-.f64 2 (exp.f64 x))) (-.f64 2 (exp.f64 x)))))
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(/.f64 (sqrt.f64 (-.f64 2 (exp.f64 x))) (/.f64 (sqrt.f64 (+.f64 4 (*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x))))) (sqrt.f64 (-.f64 8 (pow.f64 (exp.f64 x) 3)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 2 (exp.f64 x))) (sqrt.f64 (fma.f64 (exp.f64 x) (+.f64 2 (exp.f64 x)) 4))) (sqrt.f64 (-.f64 8 (pow.f64 (exp.f64 x) 3))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 4 (pow.f64 (exp.f64 x) 2))) (sqrt.f64 (-.f64 2 (exp.f64 x)))) (sqrt.f64 (+.f64 (exp.f64 x) 2)))
(/.f64 (*.f64 (sqrt.f64 (-.f64 2 (exp.f64 x))) (sqrt.f64 (-.f64 4 (pow.f64 (exp.f64 x) 2)))) (sqrt.f64 (+.f64 2 (exp.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 4 (exp.f64 (+.f64 x x)))) (sqrt.f64 (+.f64 2 (exp.f64 x)))) (sqrt.f64 (-.f64 2 (exp.f64 x))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 8 (pow.f64 (exp.f64 x) 3))) (pow.f64 (cbrt.f64 (-.f64 2 (exp.f64 x))) 2)) (cbrt.f64 (+.f64 4 (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) 2)))))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 2 (exp.f64 x))) 2) (/.f64 (cbrt.f64 (+.f64 4 (*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x))))) (cbrt.f64 (-.f64 8 (pow.f64 (exp.f64 x) 3)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 2 (exp.f64 x))) 2) (cbrt.f64 (fma.f64 (exp.f64 x) (+.f64 2 (exp.f64 x)) 4))) (cbrt.f64 (-.f64 8 (pow.f64 (exp.f64 x) 3))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 4 (pow.f64 (exp.f64 x) 2))) (pow.f64 (cbrt.f64 (-.f64 2 (exp.f64 x))) 2)) (cbrt.f64 (+.f64 (exp.f64 x) 2)))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 2 (exp.f64 x))) 2) (/.f64 (cbrt.f64 (+.f64 2 (exp.f64 x))) (cbrt.f64 (-.f64 4 (pow.f64 (exp.f64 x) 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 2 (exp.f64 x))) 2) (cbrt.f64 (+.f64 2 (exp.f64 x)))) (cbrt.f64 (-.f64 4 (exp.f64 (+.f64 x x)))))
(/.f64 (*.f64 (-.f64 16 (/.f64 (pow.f64 (exp.f64 x) 3) (exp.f64 x))) (/.f64 1 (+.f64 (exp.f64 x) 2))) (+.f64 (pow.f64 (exp.f64 x) 2) 4))
(/.f64 (-.f64 16 (/.f64 (pow.f64 (exp.f64 x) 3) (exp.f64 x))) (*.f64 (+.f64 2 (exp.f64 x)) (+.f64 4 (pow.f64 (exp.f64 x) 2))))
(/.f64 (-.f64 16 (/.f64 (pow.f64 (exp.f64 x) 3) (exp.f64 x))) (*.f64 (+.f64 2 (exp.f64 x)) (+.f64 4 (exp.f64 (+.f64 x x)))))
(/.f64 (*.f64 (-.f64 64 (pow.f64 (pow.f64 (exp.f64 x) 2) 3)) (/.f64 1 (+.f64 (exp.f64 x) 2))) (+.f64 (+.f64 16 (/.f64 (pow.f64 (exp.f64 x) 3) (exp.f64 x))) (*.f64 (pow.f64 (exp.f64 x) 2) 4)))
(/.f64 (-.f64 64 (pow.f64 (pow.f64 (exp.f64 x) 2) 3)) (*.f64 (+.f64 2 (exp.f64 x)) (+.f64 16 (+.f64 (/.f64 (pow.f64 (exp.f64 x) 3) (exp.f64 x)) (*.f64 4 (pow.f64 (exp.f64 x) 2))))))
(/.f64 (/.f64 (-.f64 64 (pow.f64 (exp.f64 x) 6)) (+.f64 2 (exp.f64 x))) (fma.f64 4 (exp.f64 (+.f64 x x)) (+.f64 16 (/.f64 (pow.f64 (exp.f64 x) 3) (exp.f64 x)))))
(/.f64 (*.f64 (-.f64 64 (*.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 x) 3))) (/.f64 1 (+.f64 4 (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) 2))))) (+.f64 8 (pow.f64 (exp.f64 x) 3)))
(/.f64 (-.f64 64 (pow.f64 (exp.f64 x) 6)) (*.f64 (+.f64 4 (*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x)))) (+.f64 8 (pow.f64 (exp.f64 x) 3))))
(/.f64 (/.f64 (-.f64 64 (pow.f64 (exp.f64 x) 6)) (+.f64 8 (pow.f64 (exp.f64 x) 3))) (fma.f64 (exp.f64 x) (+.f64 2 (exp.f64 x)) 4))
(/.f64 (*.f64 (-.f64 512 (pow.f64 (pow.f64 (exp.f64 x) 3) 3)) (/.f64 1 (+.f64 4 (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) 2))))) (+.f64 64 (+.f64 (*.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 x) 3)) (*.f64 8 (pow.f64 (exp.f64 x) 3)))))
(/.f64 (-.f64 512 (pow.f64 (pow.f64 (exp.f64 x) 3) 3)) (*.f64 (+.f64 4 (*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x)))) (+.f64 64 (+.f64 (pow.f64 (exp.f64 x) 6) (*.f64 8 (pow.f64 (exp.f64 x) 3))))))
(/.f64 (-.f64 512 (pow.f64 (pow.f64 (exp.f64 x) 3) 3)) (*.f64 (fma.f64 (exp.f64 x) (+.f64 2 (exp.f64 x)) 4) (+.f64 64 (fma.f64 8 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 x) 6)))))
(/.f64 (/.f64 (-.f64 4 (pow.f64 (exp.f64 x) 2)) 1) (+.f64 (exp.f64 x) 2))
(/.f64 (-.f64 4 (pow.f64 (exp.f64 x) 2)) (+.f64 2 (exp.f64 x)))
(/.f64 (-.f64 4 (exp.f64 (+.f64 x x))) (+.f64 2 (exp.f64 x)))
(/.f64 (/.f64 (-.f64 4 (pow.f64 (exp.f64 x) 2)) (sqrt.f64 (+.f64 (exp.f64 x) 2))) (sqrt.f64 (+.f64 (exp.f64 x) 2)))
(/.f64 (-.f64 4 (pow.f64 (exp.f64 x) 2)) (+.f64 2 (exp.f64 x)))
(/.f64 (-.f64 4 (exp.f64 (+.f64 x x))) (+.f64 2 (exp.f64 x)))
(/.f64 (/.f64 (-.f64 4 (pow.f64 (exp.f64 x) 2)) (*.f64 (cbrt.f64 (+.f64 (exp.f64 x) 2)) (cbrt.f64 (+.f64 (exp.f64 x) 2)))) (cbrt.f64 (+.f64 (exp.f64 x) 2)))
(/.f64 (-.f64 4 (pow.f64 (exp.f64 x) 2)) (+.f64 2 (exp.f64 x)))
(/.f64 (-.f64 4 (exp.f64 (+.f64 x x))) (+.f64 2 (exp.f64 x)))
(/.f64 (/.f64 (-.f64 8 (pow.f64 (exp.f64 x) 3)) 1) (+.f64 4 (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) 2))))
(/.f64 (-.f64 8 (pow.f64 (exp.f64 x) 3)) (+.f64 4 (*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x)))))
(/.f64 (-.f64 8 (pow.f64 (exp.f64 x) 3)) (fma.f64 (exp.f64 x) (+.f64 2 (exp.f64 x)) 4))
(/.f64 (/.f64 (-.f64 8 (pow.f64 (exp.f64 x) 3)) (sqrt.f64 (+.f64 4 (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) 2))))) (sqrt.f64 (+.f64 4 (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) 2)))))
(/.f64 (-.f64 8 (pow.f64 (exp.f64 x) 3)) (+.f64 4 (*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x)))))
(/.f64 (-.f64 8 (pow.f64 (exp.f64 x) 3)) (fma.f64 (exp.f64 x) (+.f64 2 (exp.f64 x)) 4))
(/.f64 (/.f64 (-.f64 8 (pow.f64 (exp.f64 x) 3)) (*.f64 (cbrt.f64 (+.f64 4 (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) 2)))) (cbrt.f64 (+.f64 4 (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) 2)))))) (cbrt.f64 (+.f64 4 (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) 2)))))
(/.f64 (-.f64 8 (pow.f64 (exp.f64 x) 3)) (+.f64 4 (*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x)))))
(/.f64 (-.f64 8 (pow.f64 (exp.f64 x) 3)) (fma.f64 (exp.f64 x) (+.f64 2 (exp.f64 x)) 4))
(pow.f64 (-.f64 2 (exp.f64 x)) 1)
(-.f64 2 (exp.f64 x))
(pow.f64 (sqrt.f64 (-.f64 2 (exp.f64 x))) 2)
(-.f64 2 (exp.f64 x))
(pow.f64 (cbrt.f64 (-.f64 2 (exp.f64 x))) 3)
(-.f64 2 (exp.f64 x))
(pow.f64 (pow.f64 (-.f64 2 (exp.f64 x)) 3) 1/3)
(-.f64 2 (exp.f64 x))
(sqrt.f64 (pow.f64 (-.f64 2 (exp.f64 x)) 2))
(fabs.f64 (-.f64 2 (exp.f64 x)))
(log.f64 (exp.f64 (-.f64 2 (exp.f64 x))))
(-.f64 2 (exp.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 2 (exp.f64 x)))))
(-.f64 2 (exp.f64 x))
(cbrt.f64 (pow.f64 (-.f64 2 (exp.f64 x)) 3))
(-.f64 2 (exp.f64 x))
(expm1.f64 (log.f64 (-.f64 3 (exp.f64 x))))
(exp.f64 (log.f64 (-.f64 2 (exp.f64 x))))
(-.f64 2 (exp.f64 x))
(log1p.f64 (expm1.f64 (-.f64 2 (exp.f64 x))))
(-.f64 2 (exp.f64 x))

eval219.0ms (2.1%)

Compiler

Compiled 9341 to 5145 computations (44.9% saved)

prune56.0ms (0.5%)

Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New3229331
Fresh000
Picked101
Done000
Total3239332
Error
0b
Counts
332 → 9
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.8b
(fma.f64 1/360 (pow.f64 x 6) (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4))))
28.2b
(pow.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) 3) 1/3)
28.2b
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
28.2b
(-.f64 (exp.f64 (neg.f64 x)) (/.f64 (-.f64 4 (exp.f64 (+.f64 x x))) (+.f64 2 (exp.f64 x))))
29.4b
(-.f64 (exp.f64 (neg.f64 x)) 1)
▶1.0b
(+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))
▶0.8b
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))))
▶1.2b
(*.f64 x x)
▶28.2b
(exp.f64 (log.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))))
Compiler

Compiled 212 to 164 computations (22.6% saved)

localize36.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))
✓0.0b
(*.f64 1/20160 (pow.f64 x 8))
✓0.0b
(*.f64 1/360 (pow.f64 x 6))
✓0.1b
(*.f64 1/12 (pow.f64 x 4))
Compiler

Compiled 83 to 66 computations (20.5% saved)

series4.0ms (0%)

Counts
4 → 6
Calls

12 calls:

TimeVariablePointExpression
1.0ms
x
@0
(*.f64 1/12 (pow.f64 x 4))
1.0ms
x
@-inf
(+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))
0.0ms
x
@0
(*.f64 1/360 (pow.f64 x 6))
0.0ms
x
@0
(*.f64 1/20160 (pow.f64 x 8))
0.0ms
x
@inf
(+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))

rewrite102.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
1142×associate-*r/
900×associate-*l/
398×add-sqr-sqrt
376×add-exp-log
376×add-cbrt-cube
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01978
142074
2498374
Stop Event
1×node limit
Counts
4 → 117
Calls
Call 1
Inputs
(*.f64 1/12 (pow.f64 x 4))
(*.f64 1/360 (pow.f64 x 6))
(*.f64 1/20160 (pow.f64 x 8))
(+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/12 (pow.f64 x 4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/12 (pow.f64 x 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) (sqrt.f64 1/12)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/12 (pow.f64 x 4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/1728 (pow.f64 x 12)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 8) 1/144))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/12) (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/12 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 1/1728 (pow.f64 x 12)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/12 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/12 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/12 (pow.f64 x 4))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/12 (pow.f64 x 4))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/360 (pow.f64 x 6)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/360 (pow.f64 x 6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 1/360) (pow.f64 x 3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) (cbrt.f64 1/360)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/360 (pow.f64 x 6)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/129600 (pow.f64 x 12)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/360) (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/360 (pow.f64 x 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/360 (pow.f64 x 6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/360 (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/360 (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/360 (pow.f64 x 6))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/360 (pow.f64 x 6))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/20160 (pow.f64 x 8)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/20160 (pow.f64 x 8)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 4) (sqrt.f64 1/20160)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/20160 (pow.f64 x 8))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/8193540096000 (pow.f64 (pow.f64 x 8) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/406425600 (pow.f64 x 16)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/20160) (pow.f64 x 8)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/20160 (pow.f64 x 8)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 1/8193540096000 (pow.f64 (pow.f64 x 8) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/20160 (pow.f64 x 8))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/20160 (pow.f64 x 8))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/20160 (pow.f64 x 8))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/20160 (pow.f64 x 8))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/12 (pow.f64 x 4)))) (-.f64 1 (+.f64 (*.f64 1/20160 (pow.f64 x 8)) (pow.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 x 2))) (-.f64 1 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))) (-.f64 1 (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/20160 (pow.f64 x 8)))) (-.f64 1 (fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (pow.f64 x 8) 1/144) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 -1/20160 (pow.f64 x 8)))) (-.f64 (/.f64 (*.f64 1/406425600 (pow.f64 x 16)) 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simplify114.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
1202×associate-/l*
996×unswap-sqr
670×associate-/r*
576×associate-+l+
562×associate-+r+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03227881
18007605
230697551
Stop Event
1×node limit
Counts
123 → 180
Calls
Call 1
Inputs
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(*.f64 1/20160 (pow.f64 x 8))
(+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))
(*.f64 1/20160 (pow.f64 x 8))
(+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/12 (pow.f64 x 4)))) 1)
(pow.f64 (*.f64 1/12 (pow.f64 x 4)) 1)
(pow.f64 (*.f64 (*.f64 x x) (sqrt.f64 1/12)) 2)
(pow.f64 (cbrt.f64 (*.f64 1/12 (pow.f64 x 4))) 3)
(pow.f64 (*.f64 1/1728 (pow.f64 x 12)) 1/3)
(sqrt.f64 (*.f64 (pow.f64 x 8) 1/144))
(log.f64 (pow.f64 (exp.f64 1/12) (pow.f64 x 4)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/12 (pow.f64 x 4)))))
(cbrt.f64 (*.f64 1/1728 (pow.f64 x 12)))
(expm1.f64 (log1p.f64 (*.f64 1/12 (pow.f64 x 4))))
(exp.f64 (log.f64 (*.f64 1/12 (pow.f64 x 4))))
(exp.f64 (*.f64 (log.f64 (*.f64 1/12 (pow.f64 x 4))) 1))
(log1p.f64 (expm1.f64 (*.f64 1/12 (pow.f64 x 4))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/360 (pow.f64 x 6)))) 1)
(pow.f64 (*.f64 1/360 (pow.f64 x 6)) 1)
(pow.f64 (*.f64 (sqrt.f64 1/360) (pow.f64 x 3)) 2)
(pow.f64 (*.f64 (*.f64 x x) (cbrt.f64 1/360)) 3)
(pow.f64 (pow.f64 (*.f64 1/360 (pow.f64 x 6)) 3) 1/3)
(sqrt.f64 (*.f64 1/129600 (pow.f64 x 12)))
(log.f64 (pow.f64 (exp.f64 1/360) (pow.f64 x 6)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/360 (pow.f64 x 6)))))
(cbrt.f64 (pow.f64 (*.f64 1/360 (pow.f64 x 6)) 3))
(expm1.f64 (log1p.f64 (*.f64 1/360 (pow.f64 x 6))))
(exp.f64 (log.f64 (*.f64 1/360 (pow.f64 x 6))))
(exp.f64 (*.f64 (log.f64 (*.f64 1/360 (pow.f64 x 6))) 1))
(log1p.f64 (expm1.f64 (*.f64 1/360 (pow.f64 x 6))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/20160 (pow.f64 x 8)))) 1)
(pow.f64 (*.f64 1/20160 (pow.f64 x 8)) 1)
(pow.f64 (*.f64 (pow.f64 x 4) (sqrt.f64 1/20160)) 2)
(pow.f64 (cbrt.f64 (*.f64 1/20160 (pow.f64 x 8))) 3)
(pow.f64 (*.f64 1/8193540096000 (pow.f64 (pow.f64 x 8) 3)) 1/3)
(sqrt.f64 (*.f64 1/406425600 (pow.f64 x 16)))
(log.f64 (pow.f64 (exp.f64 1/20160) (pow.f64 x 8)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/20160 (pow.f64 x 8)))))
(cbrt.f64 (*.f64 1/8193540096000 (pow.f64 (pow.f64 x 8) 3)))
(expm1.f64 (log1p.f64 (*.f64 1/20160 (pow.f64 x 8))))
(exp.f64 (log.f64 (*.f64 1/20160 (pow.f64 x 8))))
(exp.f64 (*.f64 (log.f64 (*.f64 1/20160 (pow.f64 x 8))) 1))
(log1p.f64 (expm1.f64 (*.f64 1/20160 (pow.f64 x 8))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/12 (pow.f64 x 4)))) (-.f64 1 (+.f64 (*.f64 1/20160 (pow.f64 x 8)) (pow.f64 x 2))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))))) 1)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x 2))) (-.f64 1 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))) (-.f64 1 (pow.f64 x 2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/20160 (pow.f64 x 8)))) (-.f64 1 (fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))))
(-.f64 (/.f64 (*.f64 (pow.f64 x 8) 1/144) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 -1/20160 (pow.f64 x 8)))) (-.f64 (/.f64 (*.f64 1/406425600 (pow.f64 x 16)) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 -1/20160 (pow.f64 x 8)))) (pow.f64 x 2)))
(-.f64 (/.f64 (pow.f64 x 4) (-.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))) (/.f64 (pow.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))) 2) (-.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))))
(-.f64 (+.f64 (pow.f64 x 2) (exp.f64 (log1p.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))))) 1)
(-.f64 (+.f64 (pow.f64 x 2) (/.f64 (*.f64 (pow.f64 x 8) 1/144) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 -1/20160 (pow.f64 x 8))))) (/.f64 (*.f64 1/406425600 (pow.f64 x 16)) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 -1/20160 (pow.f64 x 8)))))
(-.f64 (+.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))) (exp.f64 (log1p.f64 (pow.f64 x 2)))) 1)
(-.f64 (+.f64 (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))) (exp.f64 (log1p.f64 (*.f64 1/20160 (pow.f64 x 8))))) 1)
(-.f64 (+.f64 (+.f64 (*.f64 1/20160 (pow.f64 x 8)) (pow.f64 x 2)) (exp.f64 (log1p.f64 (*.f64 1/12 (pow.f64 x 4))))) 1)
(-.f64 (+.f64 (*.f64 (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))) 1) (exp.f64 (log1p.f64 (*.f64 1/20160 (pow.f64 x 8))))) 1)
(*.f64 (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))) 1)
(*.f64 1 (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))))
(*.f64 (hypot.f64 x (sqrt.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))) (hypot.f64 x (sqrt.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))))
(*.f64 (cbrt.f64 (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))) 2) (cbrt.f64 (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))))
(*.f64 (-.f64 (pow.f64 x 4) (pow.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))) 2)) (/.f64 1 (-.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))))
(*.f64 (+.f64 (pow.f64 x 6) (pow.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))) 3)) (/.f64 1 (+.f64 (pow.f64 x 4) (*.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))) (-.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))) (pow.f64 x 2))))))
(/.f64 1 (/.f64 (-.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))) (-.f64 (pow.f64 x 4) (pow.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))) 2))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 x 4) (*.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))) (-.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))) (pow.f64 x 2)))) (+.f64 (pow.f64 x 6) (pow.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))) 3))))
(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))) 2)) (-.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))))
(/.f64 (+.f64 (pow.f64 x 6) (pow.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))) 3)) (+.f64 (pow.f64 x 4) (*.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))) (-.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))) (pow.f64 x 2)))))
(/.f64 (-.f64 (pow.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))) 2) (pow.f64 x 4)) (-.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))) (pow.f64 x 2)))
(/.f64 (-.f64 (*.f64 (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))) (*.f64 1/406425600 (pow.f64 x 16))) (-.f64 (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))) (*.f64 1/20160 (pow.f64 x 8))))
(/.f64 (+.f64 (*.f64 1/8193540096000 (pow.f64 (pow.f64 x 8) 3)) (pow.f64 (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))) 3)) (+.f64 (*.f64 (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))) (-.f64 (*.f64 1/406425600 (pow.f64 x 16)) (*.f64 (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))) (*.f64 1/20160 (pow.f64 x 8))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 4) (pow.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))) 2))) (neg.f64 (-.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 6) (pow.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))) 3))) (neg.f64 (+.f64 (pow.f64 x 4) (*.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))) (-.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))) (pow.f64 x 2))))))
(/.f64 (*.f64 (+.f64 (pow.f64 x 6) (pow.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))) 3)) 1) (+.f64 (pow.f64 x 4) (*.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))) (-.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))) (pow.f64 x 2)))))
(/.f64 (*.f64 (-.f64 (pow.f64 x 4) (pow.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))) 2)) 1) (-.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))))
(/.f64 (*.f64 1 (-.f64 (pow.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))) 2) (pow.f64 x 4))) (-.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))) (pow.f64 x 2)))
(/.f64 (*.f64 1 (-.f64 (*.f64 (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))) (*.f64 1/406425600 (pow.f64 x 16)))) (-.f64 (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))) (*.f64 1/20160 (pow.f64 x 8))))
(/.f64 (*.f64 1 (+.f64 (*.f64 1/8193540096000 (pow.f64 (pow.f64 x 8) 3)) (pow.f64 (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))) 3))) (+.f64 (*.f64 (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))) (-.f64 (*.f64 1/406425600 (pow.f64 x 16)) (*.f64 (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))) (*.f64 1/20160 (pow.f64 x 8))))))
(/.f64 (*.f64 1 (neg.f64 (-.f64 (pow.f64 x 4) (pow.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))) 2)))) (neg.f64 (-.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))))
(/.f64 (*.f64 1 (neg.f64 (+.f64 (pow.f64 x 6) (pow.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))) 3)))) (neg.f64 (+.f64 (pow.f64 x 4) (*.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))) (-.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))) (pow.f64 x 2))))))
(/.f64 (*.f64 (hypot.f64 x (sqrt.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))) (sqrt.f64 (+.f64 (pow.f64 x 6) (pow.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))) 3)))) (sqrt.f64 (+.f64 (pow.f64 x 4) (*.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))) (-.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))) (pow.f64 x 2))))))
(/.f64 (*.f64 (hypot.f64 x (sqrt.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))) (sqrt.f64 (-.f64 (pow.f64 x 4) (pow.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))) 2)))) (sqrt.f64 (-.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))) 2) (cbrt.f64 (+.f64 (pow.f64 x 6) (pow.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))) 3)))) (cbrt.f64 (+.f64 (pow.f64 x 4) (*.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))) (-.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))) (pow.f64 x 2))))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))) 2) (cbrt.f64 (-.f64 (pow.f64 x 4) (pow.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))) 2)))) (cbrt.f64 (-.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))) 2) (pow.f64 x 4)) 1) (-.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))) (pow.f64 x 2)))
(/.f64 (*.f64 (-.f64 (*.f64 (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))) (*.f64 1/406425600 (pow.f64 x 16))) 1) (-.f64 (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))) (*.f64 1/20160 (pow.f64 x 8))))
(/.f64 (*.f64 (+.f64 (*.f64 1/8193540096000 (pow.f64 (pow.f64 x 8) 3)) (pow.f64 (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))) 3)) 1) (+.f64 (*.f64 (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))) (-.f64 (*.f64 1/406425600 (pow.f64 x 16)) (*.f64 (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))) (*.f64 1/20160 (pow.f64 x 8))))))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 x 4) (pow.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))) 2))) 1) (neg.f64 (-.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))))
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 x 6) (pow.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))) 3))) 1) (neg.f64 (+.f64 (pow.f64 x 4) (*.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))) (-.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))) (pow.f64 x 2))))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 x 6) (pow.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))) 3))) (hypot.f64 x (sqrt.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))))) (sqrt.f64 (+.f64 (pow.f64 x 4) (*.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))) (-.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))) (pow.f64 x 2))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 x 4) (pow.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))) 2))) (hypot.f64 x (sqrt.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))))) (sqrt.f64 (-.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 x 6) (pow.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))) 3))) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))) 2)) (cbrt.f64 (+.f64 (pow.f64 x 4) (*.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))) (-.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))) (pow.f64 x 2))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 x 4) (pow.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))) 2))) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))) 2)) (cbrt.f64 (-.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))))
(/.f64 (*.f64 (-.f64 (pow.f64 x 8) (*.f64 (pow.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))) 2) (pow.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))) 2))) (/.f64 1 (-.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))))) (+.f64 (pow.f64 x 4) (pow.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))) 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 x 12) (pow.f64 (pow.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))) 2) 3)) (/.f64 1 (-.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))))) (+.f64 (+.f64 (pow.f64 x 8) (*.f64 (pow.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))) 2) (pow.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))) 2))) (*.f64 (pow.f64 x 4) (pow.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))) 2))))
(/.f64 (*.f64 (-.f64 (pow.f64 x 12) (*.f64 (pow.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))) 3) (pow.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))) 3))) (/.f64 1 (+.f64 (pow.f64 x 4) (*.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))) (-.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))) (pow.f64 x 2)))))) (-.f64 (pow.f64 x 6) (pow.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))) 3)))
(/.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 x 6) 3) (pow.f64 (pow.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))) 3) 3)) (/.f64 1 (+.f64 (pow.f64 x 4) (*.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))) (-.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))) (pow.f64 x 2)))))) (-.f64 (+.f64 (pow.f64 x 12) (*.f64 (pow.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))) 3) (pow.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))) 3))) (*.f64 (pow.f64 x 6) (pow.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))) 3))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 4) (pow.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))) 2)) 1) (-.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 4) (pow.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))) 2)) (sqrt.f64 (-.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))))) (sqrt.f64 (-.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 4) (pow.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))) 2)) (*.f64 (cbrt.f64 (-.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))) (cbrt.f64 (-.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))))) (cbrt.f64 (-.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 4) (pow.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))) 2)) (+.f64 x (sqrt.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))))) (-.f64 x (sqrt.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 6) (pow.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))) 3)) 1) (+.f64 (pow.f64 x 4) (*.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))) (-.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))) (pow.f64 x 2)))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 6) (pow.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))) 3)) (sqrt.f64 (+.f64 (pow.f64 x 4) (*.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))) (-.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))) (pow.f64 x 2)))))) (sqrt.f64 (+.f64 (pow.f64 x 4) (*.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))) (-.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))) (pow.f64 x 2))))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 6) (pow.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) (*.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))) (-.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))) (pow.f64 x 2))))) (cbrt.f64 (+.f64 (pow.f64 x 4) (*.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))) (-.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))) (pow.f64 x 2))))))) (cbrt.f64 (+.f64 (pow.f64 x 4) (*.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))) (-.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))) (pow.f64 x 2))))))
(pow.f64 (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))) 1)
(pow.f64 (hypot.f64 x (sqrt.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))) 2)
(pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))) 3)
(pow.f64 (pow.f64 (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))) 2))
(log.f64 (exp.f64 (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))))))
(cbrt.f64 (pow.f64 (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))) 3))
(expm1.f64 (log1p.f64 (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))))
(exp.f64 (log.f64 (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))))
(exp.f64 (*.f64 (log.f64 (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))) 1))
(log1p.f64 (expm1.f64 (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))))
(fma.f64 x x (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))
(fma.f64 1 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))
(fma.f64 1 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))) (pow.f64 x 2))
(fma.f64 (sqrt.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))) (sqrt.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))) (pow.f64 x 2))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))) 2) (cbrt.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))) (pow.f64 x 2))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))
Outputs
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))
(*.f64 1/20160 (pow.f64 x 8))
(+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 1/20160 (pow.f64 x 8)))
(*.f64 1/20160 (pow.f64 x 8))
(+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 1/20160 (pow.f64 x 8)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/12 (pow.f64 x 4)))) 1)
(*.f64 1/12 (pow.f64 x 4))
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(sqrt.f64 (pow.f64 (fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/20160 (pow.f64 x 8)))) 2))
(fabs.f64 (fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/20160 (pow.f64 x 8)))))
(log.f64 (exp.f64 (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))))
(+.f64 (*.f64 1/12 (pow.f64 x 4)) (fma.f64 1/20160 (pow.f64 x 8) (*.f64 x x)))
(fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/20160 (pow.f64 x 8))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))))))
(+.f64 (*.f64 1/12 (pow.f64 x 4)) (fma.f64 1/20160 (pow.f64 x 8) (*.f64 x x)))
(fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/20160 (pow.f64 x 8))))
(cbrt.f64 (pow.f64 (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))) 3))
(+.f64 (*.f64 1/12 (pow.f64 x 4)) (fma.f64 1/20160 (pow.f64 x 8) (*.f64 x x)))
(fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/20160 (pow.f64 x 8))))
(expm1.f64 (log1p.f64 (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))))
(+.f64 (*.f64 1/12 (pow.f64 x 4)) (fma.f64 1/20160 (pow.f64 x 8) (*.f64 x x)))
(fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/20160 (pow.f64 x 8))))
(exp.f64 (log.f64 (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))))
(+.f64 (*.f64 1/12 (pow.f64 x 4)) (fma.f64 1/20160 (pow.f64 x 8) (*.f64 x x)))
(fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/20160 (pow.f64 x 8))))
(exp.f64 (*.f64 (log.f64 (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))) 1))
(+.f64 (*.f64 1/12 (pow.f64 x 4)) (fma.f64 1/20160 (pow.f64 x 8) (*.f64 x x)))
(fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/20160 (pow.f64 x 8))))
(log1p.f64 (expm1.f64 (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))))
(+.f64 (*.f64 1/12 (pow.f64 x 4)) (fma.f64 1/20160 (pow.f64 x 8) (*.f64 x x)))
(fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/20160 (pow.f64 x 8))))
(fma.f64 x x (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))
(+.f64 (*.f64 1/12 (pow.f64 x 4)) (fma.f64 1/20160 (pow.f64 x 8) (*.f64 x x)))
(fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/20160 (pow.f64 x 8))))
(fma.f64 1 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))
(+.f64 (*.f64 1/12 (pow.f64 x 4)) (fma.f64 1/20160 (pow.f64 x 8) (*.f64 x x)))
(fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/20160 (pow.f64 x 8))))
(fma.f64 1 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))) (pow.f64 x 2))
(+.f64 (*.f64 1/12 (pow.f64 x 4)) (fma.f64 1/20160 (pow.f64 x 8) (*.f64 x x)))
(fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/20160 (pow.f64 x 8))))
(fma.f64 (sqrt.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))) (sqrt.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))) (pow.f64 x 2))
(+.f64 (*.f64 1/12 (pow.f64 x 4)) (fma.f64 1/20160 (pow.f64 x 8) (*.f64 x x)))
(fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/20160 (pow.f64 x 8))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))) 2) (cbrt.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))) (pow.f64 x 2))
(+.f64 (*.f64 1/12 (pow.f64 x 4)) (fma.f64 1/20160 (pow.f64 x 8) (*.f64 x x)))
(fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/20160 (pow.f64 x 8))))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/20160 (pow.f64 x 8))))

localize2.0ms (0%)

Compiler

Compiled 5 to 2 computations (60% saved)

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))
0.1b
(*.f64 1/12 (pow.f64 x 4))
Compiler

Compiled 24 to 15 computations (37.5% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))
0.0ms
x
@0
(+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))
0.0ms
x
@-inf
(+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))

rewrite64.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
1844×add-sqr-sqrt
1812×*-un-lft-identity
1710×add-cube-cbrt
1698×add-cbrt-cube
184×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0921
120021
2244221
Stop Event
1×node limit
Counts
1 → 37
Calls
Call 1
Inputs
(+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 x 4) (-.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))) (/.f64 (*.f64 1/144 (pow.f64 x 8)) (-.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 x (*.f64 (*.f64 x x) (sqrt.f64 1/12))) (hypot.f64 x (*.f64 (*.f64 x x) (sqrt.f64 1/12))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))) 2) (cbrt.f64 (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x 4) (*.f64 1/144 (pow.f64 x 8))) (/.f64 1 (-.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 6) (*.f64 1/1728 (pow.f64 (pow.f64 x 4) 3))) (/.f64 1 (+.f64 (pow.f64 x 4) (-.f64 (*.f64 1/144 (pow.f64 x 8)) (*.f64 (pow.f64 x 6) 1/12)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4))) (-.f64 (pow.f64 x 4) (*.f64 1/144 (pow.f64 x 8)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 x 4) (-.f64 (*.f64 1/144 (pow.f64 x 8)) (*.f64 (pow.f64 x 6) 1/12))) (+.f64 (pow.f64 x 6) (*.f64 1/1728 (pow.f64 (pow.f64 x 4) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 4) (*.f64 1/144 (pow.f64 x 8))) (-.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 6) (*.f64 1/1728 (pow.f64 (pow.f64 x 4) 3))) (+.f64 (pow.f64 x 4) (-.f64 (*.f64 1/144 (pow.f64 x 8)) (*.f64 (pow.f64 x 6) 1/12))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 6) (*.f64 1/1728 (pow.f64 (pow.f64 x 4) 3))) (+.f64 (*.f64 1/144 (pow.f64 x 8)) (-.f64 (pow.f64 x 4) (*.f64 (pow.f64 x 6) 1/12))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 1/144 (pow.f64 x 8)) (pow.f64 x 4)) (-.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x 4) (*.f64 1/144 (pow.f64 x 8)))) (neg.f64 (-.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 6) (*.f64 1/1728 (pow.f64 (pow.f64 x 4) 3)))) (neg.f64 (+.f64 (pow.f64 x 4) (-.f64 (*.f64 1/144 (pow.f64 x 8)) (*.f64 (pow.f64 x 6) 1/12)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 x (*.f64 (*.f64 x x) (sqrt.f64 1/12))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 4) 1/12 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 1/12 (pow.f64 x 4)) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x x) (sqrt.f64 1/12)) (*.f64 (*.f64 x x) (sqrt.f64 1/12)) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 1/144 (pow.f64 x 8))) (cbrt.f64 (*.f64 1/12 (pow.f64 x 4))) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (*.f64 x x)) (*.f64 1/12 (pow.f64 x 4)))))))

simplify69.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
1376×associate-*r*
1100×associate-*l*
920×associate-+r+
758×associate-+l+
422×distribute-lft-out
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01011585
12451491
28271447
346051447
Stop Event
1×node limit
Counts
49 → 51
Calls
Call 1
Inputs
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(*.f64 1/12 (pow.f64 x 4))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(*.f64 1/12 (pow.f64 x 4))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4))))) 1)
(-.f64 (/.f64 (pow.f64 x 4) (-.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))) (/.f64 (*.f64 1/144 (pow.f64 x 8)) (-.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))))
(*.f64 (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4))) 1)
(*.f64 1 (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4))))
(*.f64 (hypot.f64 x (*.f64 (*.f64 x x) (sqrt.f64 1/12))) (hypot.f64 x (*.f64 (*.f64 x x) (sqrt.f64 1/12))))
(*.f64 (cbrt.f64 (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))) 2) (cbrt.f64 (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))))
(*.f64 (-.f64 (pow.f64 x 4) (*.f64 1/144 (pow.f64 x 8))) (/.f64 1 (-.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))))
(*.f64 (+.f64 (pow.f64 x 6) (*.f64 1/1728 (pow.f64 (pow.f64 x 4) 3))) (/.f64 1 (+.f64 (pow.f64 x 4) (-.f64 (*.f64 1/144 (pow.f64 x 8)) (*.f64 (pow.f64 x 6) 1/12)))))
(/.f64 1 (/.f64 (-.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4))) (-.f64 (pow.f64 x 4) (*.f64 1/144 (pow.f64 x 8)))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 x 4) (-.f64 (*.f64 1/144 (pow.f64 x 8)) (*.f64 (pow.f64 x 6) 1/12))) (+.f64 (pow.f64 x 6) (*.f64 1/1728 (pow.f64 (pow.f64 x 4) 3)))))
(/.f64 (-.f64 (pow.f64 x 4) (*.f64 1/144 (pow.f64 x 8))) (-.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4))))
(/.f64 (+.f64 (pow.f64 x 6) (*.f64 1/1728 (pow.f64 (pow.f64 x 4) 3))) (+.f64 (pow.f64 x 4) (-.f64 (*.f64 1/144 (pow.f64 x 8)) (*.f64 (pow.f64 x 6) 1/12))))
(/.f64 (+.f64 (pow.f64 x 6) (*.f64 1/1728 (pow.f64 (pow.f64 x 4) 3))) (+.f64 (*.f64 1/144 (pow.f64 x 8)) (-.f64 (pow.f64 x 4) (*.f64 (pow.f64 x 6) 1/12))))
(/.f64 (-.f64 (*.f64 1/144 (pow.f64 x 8)) (pow.f64 x 4)) (-.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 x x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 4) (*.f64 1/144 (pow.f64 x 8)))) (neg.f64 (-.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 6) (*.f64 1/1728 (pow.f64 (pow.f64 x 4) 3)))) (neg.f64 (+.f64 (pow.f64 x 4) (-.f64 (*.f64 1/144 (pow.f64 x 8)) (*.f64 (pow.f64 x 6) 1/12)))))
(pow.f64 (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4))) 1)
(pow.f64 (hypot.f64 x (*.f64 (*.f64 x x) (sqrt.f64 1/12))) 2)
(pow.f64 (cbrt.f64 (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))) 3)
(pow.f64 (pow.f64 (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4))) 2))
(log.f64 (exp.f64 (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4))))))
(cbrt.f64 (pow.f64 (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4))) 3))
(expm1.f64 (log1p.f64 (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))))
(exp.f64 (log.f64 (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))) 1))
(log1p.f64 (expm1.f64 (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))))
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))
(fma.f64 (pow.f64 x 4) 1/12 (*.f64 x x))
(fma.f64 1 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1 (*.f64 1/12 (pow.f64 x 4)) (*.f64 x x))
(fma.f64 (*.f64 (*.f64 x x) (sqrt.f64 1/12)) (*.f64 (*.f64 x x) (sqrt.f64 1/12)) (*.f64 x x))
(fma.f64 (cbrt.f64 (*.f64 1/144 (pow.f64 x 8))) (cbrt.f64 (*.f64 1/12 (pow.f64 x 4))) (*.f64 x x))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (*.f64 x x)) (*.f64 1/12 (pow.f64 x 4)))
Outputs
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))
(*.f64 1/12 (pow.f64 x 4))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))
(*.f64 1/12 (pow.f64 x 4))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4))))) 1)
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))
(-.f64 (/.f64 (pow.f64 x 4) (-.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))) (/.f64 (*.f64 1/144 (pow.f64 x 8)) (-.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))))
(/.f64 (+.f64 (pow.f64 x 4) (*.f64 -1/144 (pow.f64 x 8))) (+.f64 (*.f64 x x) (*.f64 -1/12 (pow.f64 x 4))))
(/.f64 (+.f64 (pow.f64 x 4) (*.f64 (pow.f64 x 8) -1/144)) (fma.f64 x x (*.f64 (pow.f64 x 4) -1/12)))
(/.f64 (fma.f64 (pow.f64 x 8) -1/144 (pow.f64 x 4)) (fma.f64 x x (*.f64 (pow.f64 x 4) -1/12)))
(/.f64 (fma.f64 (pow.f64 x 8) -1/144 (pow.f64 x 4)) (fma.f64 (pow.f64 x 4) -1/12 (*.f64 x x)))
(*.f64 (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4))) 1)
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))
(*.f64 1 (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4))))
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))
(*.f64 (hypot.f64 x (*.f64 (*.f64 x x) (sqrt.f64 1/12))) (hypot.f64 x (*.f64 (*.f64 x x) (sqrt.f64 1/12))))
(pow.f64 (hypot.f64 x (*.f64 x (*.f64 x (sqrt.f64 1/12)))) 2)
(pow.f64 (hypot.f64 x (*.f64 (*.f64 x x) (sqrt.f64 1/12))) 2)
(*.f64 (cbrt.f64 (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))) 2))
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))) 2) (cbrt.f64 (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))))
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))
(*.f64 (-.f64 (pow.f64 x 4) (*.f64 1/144 (pow.f64 x 8))) (/.f64 1 (-.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))))
(/.f64 (+.f64 (pow.f64 x 4) (*.f64 -1/144 (pow.f64 x 8))) (+.f64 (*.f64 x x) (*.f64 -1/12 (pow.f64 x 4))))
(/.f64 (+.f64 (pow.f64 x 4) (*.f64 (pow.f64 x 8) -1/144)) (fma.f64 x x (*.f64 (pow.f64 x 4) -1/12)))
(/.f64 (fma.f64 (pow.f64 x 8) -1/144 (pow.f64 x 4)) (fma.f64 x x (*.f64 (pow.f64 x 4) -1/12)))
(/.f64 (fma.f64 (pow.f64 x 8) -1/144 (pow.f64 x 4)) (fma.f64 (pow.f64 x 4) -1/12 (*.f64 x x)))
(*.f64 (+.f64 (pow.f64 x 6) (*.f64 1/1728 (pow.f64 (pow.f64 x 4) 3))) (/.f64 1 (+.f64 (pow.f64 x 4) (-.f64 (*.f64 1/144 (pow.f64 x 8)) (*.f64 (pow.f64 x 6) 1/12)))))
(*.f64 (+.f64 (pow.f64 x 6) (*.f64 1/1728 (pow.f64 (pow.f64 x 4) 3))) (/.f64 1 (-.f64 (+.f64 (pow.f64 x 4) (*.f64 1/144 (pow.f64 x 8))) (*.f64 1/12 (pow.f64 x 6)))))
(/.f64 (fma.f64 1/1728 (pow.f64 (pow.f64 x 4) 3) (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (fma.f64 1/144 (pow.f64 x 8) (*.f64 (pow.f64 x 6) -1/12))))
(/.f64 (fma.f64 1/1728 (pow.f64 (pow.f64 x 4) 3) (pow.f64 x 6)) (fma.f64 1/144 (pow.f64 x 8) (fma.f64 (pow.f64 x 6) -1/12 (pow.f64 x 4))))
(/.f64 1 (/.f64 (-.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4))) (-.f64 (pow.f64 x 4) (*.f64 1/144 (pow.f64 x 8)))))
(/.f64 (+.f64 (pow.f64 x 4) (*.f64 -1/144 (pow.f64 x 8))) (+.f64 (*.f64 x x) (*.f64 -1/12 (pow.f64 x 4))))
(/.f64 (+.f64 (pow.f64 x 4) (*.f64 (pow.f64 x 8) -1/144)) (fma.f64 x x (*.f64 (pow.f64 x 4) -1/12)))
(/.f64 (fma.f64 (pow.f64 x 8) -1/144 (pow.f64 x 4)) (fma.f64 x x (*.f64 (pow.f64 x 4) -1/12)))
(/.f64 (fma.f64 (pow.f64 x 8) -1/144 (pow.f64 x 4)) (fma.f64 (pow.f64 x 4) -1/12 (*.f64 x x)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 x 4) (-.f64 (*.f64 1/144 (pow.f64 x 8)) (*.f64 (pow.f64 x 6) 1/12))) (+.f64 (pow.f64 x 6) (*.f64 1/1728 (pow.f64 (pow.f64 x 4) 3)))))
(*.f64 (+.f64 (pow.f64 x 6) (*.f64 1/1728 (pow.f64 (pow.f64 x 4) 3))) (/.f64 1 (-.f64 (+.f64 (pow.f64 x 4) (*.f64 1/144 (pow.f64 x 8))) (*.f64 1/12 (pow.f64 x 6)))))
(/.f64 (fma.f64 1/1728 (pow.f64 (pow.f64 x 4) 3) (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (fma.f64 1/144 (pow.f64 x 8) (*.f64 (pow.f64 x 6) -1/12))))
(/.f64 (fma.f64 1/1728 (pow.f64 (pow.f64 x 4) 3) (pow.f64 x 6)) (fma.f64 1/144 (pow.f64 x 8) (fma.f64 (pow.f64 x 6) -1/12 (pow.f64 x 4))))
(/.f64 (-.f64 (pow.f64 x 4) (*.f64 1/144 (pow.f64 x 8))) (-.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4))))
(/.f64 (+.f64 (pow.f64 x 4) (*.f64 -1/144 (pow.f64 x 8))) (+.f64 (*.f64 x x) (*.f64 -1/12 (pow.f64 x 4))))
(/.f64 (+.f64 (pow.f64 x 4) (*.f64 (pow.f64 x 8) -1/144)) (fma.f64 x x (*.f64 (pow.f64 x 4) -1/12)))
(/.f64 (fma.f64 (pow.f64 x 8) -1/144 (pow.f64 x 4)) (fma.f64 x x (*.f64 (pow.f64 x 4) -1/12)))
(/.f64 (fma.f64 (pow.f64 x 8) -1/144 (pow.f64 x 4)) (fma.f64 (pow.f64 x 4) -1/12 (*.f64 x x)))
(/.f64 (+.f64 (pow.f64 x 6) (*.f64 1/1728 (pow.f64 (pow.f64 x 4) 3))) (+.f64 (pow.f64 x 4) (-.f64 (*.f64 1/144 (pow.f64 x 8)) (*.f64 (pow.f64 x 6) 1/12))))
(*.f64 (+.f64 (pow.f64 x 6) (*.f64 1/1728 (pow.f64 (pow.f64 x 4) 3))) (/.f64 1 (-.f64 (+.f64 (pow.f64 x 4) (*.f64 1/144 (pow.f64 x 8))) (*.f64 1/12 (pow.f64 x 6)))))
(/.f64 (fma.f64 1/1728 (pow.f64 (pow.f64 x 4) 3) (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (fma.f64 1/144 (pow.f64 x 8) (*.f64 (pow.f64 x 6) -1/12))))
(/.f64 (fma.f64 1/1728 (pow.f64 (pow.f64 x 4) 3) (pow.f64 x 6)) (fma.f64 1/144 (pow.f64 x 8) (fma.f64 (pow.f64 x 6) -1/12 (pow.f64 x 4))))
(/.f64 (+.f64 (pow.f64 x 6) (*.f64 1/1728 (pow.f64 (pow.f64 x 4) 3))) (+.f64 (*.f64 1/144 (pow.f64 x 8)) (-.f64 (pow.f64 x 4) (*.f64 (pow.f64 x 6) 1/12))))
(*.f64 (+.f64 (pow.f64 x 6) (*.f64 1/1728 (pow.f64 (pow.f64 x 4) 3))) (/.f64 1 (-.f64 (+.f64 (pow.f64 x 4) (*.f64 1/144 (pow.f64 x 8))) (*.f64 1/12 (pow.f64 x 6)))))
(/.f64 (fma.f64 1/1728 (pow.f64 (pow.f64 x 4) 3) (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (fma.f64 1/144 (pow.f64 x 8) (*.f64 (pow.f64 x 6) -1/12))))
(/.f64 (fma.f64 1/1728 (pow.f64 (pow.f64 x 4) 3) (pow.f64 x 6)) (fma.f64 1/144 (pow.f64 x 8) (fma.f64 (pow.f64 x 6) -1/12 (pow.f64 x 4))))
(/.f64 (-.f64 (*.f64 1/144 (pow.f64 x 8)) (pow.f64 x 4)) (-.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 x x)))
(/.f64 (+.f64 (pow.f64 x 4) (*.f64 -1/144 (pow.f64 x 8))) (+.f64 (*.f64 x x) (*.f64 -1/12 (pow.f64 x 4))))
(/.f64 (+.f64 (pow.f64 x 4) (*.f64 (pow.f64 x 8) -1/144)) (fma.f64 x x (*.f64 (pow.f64 x 4) -1/12)))
(/.f64 (fma.f64 (pow.f64 x 8) -1/144 (pow.f64 x 4)) (fma.f64 x x (*.f64 (pow.f64 x 4) -1/12)))
(/.f64 (fma.f64 (pow.f64 x 8) -1/144 (pow.f64 x 4)) (fma.f64 (pow.f64 x 4) -1/12 (*.f64 x x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 4) (*.f64 1/144 (pow.f64 x 8)))) (neg.f64 (-.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))))
(/.f64 (+.f64 (pow.f64 x 4) (*.f64 -1/144 (pow.f64 x 8))) (+.f64 (*.f64 x x) (*.f64 -1/12 (pow.f64 x 4))))
(/.f64 (+.f64 (pow.f64 x 4) (*.f64 (pow.f64 x 8) -1/144)) (fma.f64 x x (*.f64 (pow.f64 x 4) -1/12)))
(/.f64 (fma.f64 (pow.f64 x 8) -1/144 (pow.f64 x 4)) (fma.f64 x x (*.f64 (pow.f64 x 4) -1/12)))
(/.f64 (fma.f64 (pow.f64 x 8) -1/144 (pow.f64 x 4)) (fma.f64 (pow.f64 x 4) -1/12 (*.f64 x x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 6) (*.f64 1/1728 (pow.f64 (pow.f64 x 4) 3)))) (neg.f64 (+.f64 (pow.f64 x 4) (-.f64 (*.f64 1/144 (pow.f64 x 8)) (*.f64 (pow.f64 x 6) 1/12)))))
(*.f64 (+.f64 (pow.f64 x 6) (*.f64 1/1728 (pow.f64 (pow.f64 x 4) 3))) (/.f64 1 (-.f64 (+.f64 (pow.f64 x 4) (*.f64 1/144 (pow.f64 x 8))) (*.f64 1/12 (pow.f64 x 6)))))
(/.f64 (fma.f64 1/1728 (pow.f64 (pow.f64 x 4) 3) (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (fma.f64 1/144 (pow.f64 x 8) (*.f64 (pow.f64 x 6) -1/12))))
(/.f64 (fma.f64 1/1728 (pow.f64 (pow.f64 x 4) 3) (pow.f64 x 6)) (fma.f64 1/144 (pow.f64 x 8) (fma.f64 (pow.f64 x 6) -1/12 (pow.f64 x 4))))
(pow.f64 (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4))) 1)
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))
(pow.f64 (hypot.f64 x (*.f64 (*.f64 x x) (sqrt.f64 1/12))) 2)
(pow.f64 (hypot.f64 x (*.f64 x (*.f64 x (sqrt.f64 1/12)))) 2)
(pow.f64 (cbrt.f64 (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))) 3)
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))
(pow.f64 (pow.f64 (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4))) 3) 1/3)
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))
(sqrt.f64 (pow.f64 (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4))) 2))
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))
(log.f64 (exp.f64 (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))))
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4))))))
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))
(cbrt.f64 (pow.f64 (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4))) 3))
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))
(expm1.f64 (log1p.f64 (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))))
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))
(exp.f64 (log.f64 (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))))
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))
(exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))) 1))
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))
(log1p.f64 (expm1.f64 (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))))
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 (pow.f64 x 4) 1/12 (*.f64 x x))
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))
(fma.f64 1 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))
(fma.f64 1 (*.f64 1/12 (pow.f64 x 4)) (*.f64 x x))
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))
(fma.f64 (*.f64 (*.f64 x x) (sqrt.f64 1/12)) (*.f64 (*.f64 x x) (sqrt.f64 1/12)) (*.f64 x x))
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))
(fma.f64 (cbrt.f64 (*.f64 1/144 (pow.f64 x 8))) (cbrt.f64 (*.f64 1/12 (pow.f64 x 4))) (*.f64 x x))
(fma.f64 x x (*.f64 (cbrt.f64 (*.f64 1/144 (pow.f64 x 8))) (cbrt.f64 (*.f64 1/12 (pow.f64 x 4)))))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (*.f64 x x)) (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (*.f64 x x))))

localize18.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(fma.f64 1/360 (pow.f64 x 6) (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4))))
0.0b
(+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))
0.1b
(*.f64 1/12 (pow.f64 x 4))
Compiler

Compiled 43 to 28 computations (34.9% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@-inf
(fma.f64 1/360 (pow.f64 x 6) (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4))))
0.0ms
x
@inf
(fma.f64 1/360 (pow.f64 x 6) (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4))))
0.0ms
x
@0
(fma.f64 1/360 (pow.f64 x 6) (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4))))

rewrite74.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
1044×*-commutative
874×unswap-sqr
628×swap-sqr
524×distribute-lft-in
512×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01435
130535
2361135
Stop Event
1×node limit
Counts
1 → 41
Calls
Call 1
Inputs
(fma.f64 1/360 (pow.f64 x 6) (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x x) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/12 (pow.f64 x 4)) (+.f64 (*.f64 x x) (*.f64 1/360 (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4))) (*.f64 1/360 (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 x x) (*.f64 1/360 (pow.f64 x 6))) (*.f64 1/12 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6))) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 (*.f64 x x) (*.f64 1/360 (pow.f64 x 6))) 1) (*.f64 1/12 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 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simplify69.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
940×distribute-lft-in
902×distribute-rgt-in
842×*-commutative
794×associate-/l*
746×associate-*r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01252663
13092515
211132515
346622515
Stop Event
1×node limit
Counts
53 → 66
Calls
Call 1
Inputs
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))))
(*.f64 1/360 (pow.f64 x 6))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))))
(*.f64 1/360 (pow.f64 x 6))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))))
(+.f64 (*.f64 x x) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6))))
(+.f64 (*.f64 1/12 (pow.f64 x 4)) (+.f64 (*.f64 x x) (*.f64 1/360 (pow.f64 x 6))))
(+.f64 (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4))) (*.f64 1/360 (pow.f64 x 6)))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4))))
(+.f64 (+.f64 (*.f64 x x) (*.f64 1/360 (pow.f64 x 6))) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6))) (*.f64 x x))
(+.f64 (*.f64 (+.f64 (*.f64 x x) (*.f64 1/360 (pow.f64 x 6))) 1) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (*.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6))) 1) (*.f64 x x))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/360 (pow.f64 x 6) (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))))) 1)
(-.f64 (exp.f64 (log1p.f64 (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4))))) (-.f64 1 (*.f64 1/360 (pow.f64 x 6))))
(-.f64 (/.f64 (pow.f64 x 4) (fma.f64 x x (*.f64 (pow.f64 x 4) -1/12))) (-.f64 (/.f64 (*.f64 (pow.f64 x 8) 1/144) (fma.f64 x x (*.f64 (pow.f64 x 4) -1/12))) (*.f64 1/360 (pow.f64 x 6))))
(-.f64 (+.f64 (*.f64 1/360 (pow.f64 x 6)) (exp.f64 (log1p.f64 (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))))) 1)
(-.f64 (+.f64 (*.f64 1/360 (pow.f64 x 6)) (/.f64 (pow.f64 x 4) (fma.f64 x x (*.f64 (pow.f64 x 4) -1/12)))) (/.f64 (*.f64 (pow.f64 x 8) 1/144) (fma.f64 x x (*.f64 (pow.f64 x 4) -1/12))))
(-.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 1/360 (pow.f64 x 6))) (exp.f64 (log1p.f64 (*.f64 1/12 (pow.f64 x 4))))) 1)
(-.f64 (+.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6))) (exp.f64 (log1p.f64 (*.f64 x x)))) 1)
(*.f64 (fma.f64 1/360 (pow.f64 x 6) (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))) 1)
(*.f64 1 (fma.f64 1/360 (pow.f64 x 6) (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))))
(*.f64 (sqrt.f64 (fma.f64 1/360 (pow.f64 x 6) (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4))))) (sqrt.f64 (fma.f64 1/360 (pow.f64 x 6) (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4))))))
(*.f64 (cbrt.f64 (fma.f64 1/360 (pow.f64 x 6) (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4))))) (pow.f64 (cbrt.f64 (fma.f64 1/360 (pow.f64 x 6) (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/360 (pow.f64 x 6) (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4))))) 2) (cbrt.f64 (fma.f64 1/360 (pow.f64 x 6) (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4))))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 1/360 (pow.f64 x 6) (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))))) (cbrt.f64 (fma.f64 1/360 (pow.f64 x 6) (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))))) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 1/360 (pow.f64 x 6) (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))))) (cbrt.f64 (fma.f64 1/360 (pow.f64 x 6) (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 1/360 (pow.f64 x 6) (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 1/360 (pow.f64 x 6) (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4))))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 1/360 (pow.f64 x 6) (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 1/360 (pow.f64 x 6) (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4))))) 2))))
(*.f64 (*.f64 (cbrt.f64 (fma.f64 1/360 (pow.f64 x 6) (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4))))) (sqrt.f64 (cbrt.f64 (fma.f64 1/360 (pow.f64 x 6) (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4))))))) (*.f64 (cbrt.f64 (fma.f64 1/360 (pow.f64 x 6) (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4))))) (sqrt.f64 (cbrt.f64 (fma.f64 1/360 (pow.f64 x 6) (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4))))))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 1/360 (pow.f64 x 6) (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4))))) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 1/360 (pow.f64 x 6) (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4))))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 1/360 (pow.f64 x 6) (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4))))) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 1/360 (pow.f64 x 6) (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4))))))))
(/.f64 (-.f64 (*.f64 1/129600 (pow.f64 x 12)) (pow.f64 (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4))) 2)) (-.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))))
(/.f64 (+.f64 (pow.f64 (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4))) 3) (pow.f64 (*.f64 1/360 (pow.f64 x 6)) 3)) (+.f64 (*.f64 1/129600 (pow.f64 x 12)) (*.f64 (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4))) (-.f64 (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4))) (*.f64 1/360 (pow.f64 x 6))))))
(/.f64 (*.f64 1 (-.f64 (*.f64 1/129600 (pow.f64 x 12)) (pow.f64 (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4))) 2))) (-.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))))
(/.f64 (*.f64 1 (+.f64 (pow.f64 (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4))) 3) (pow.f64 (*.f64 1/360 (pow.f64 x 6)) 3))) (+.f64 (*.f64 1/129600 (pow.f64 x 12)) (*.f64 (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4))) (-.f64 (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4))) (*.f64 1/360 (pow.f64 x 6))))))
(/.f64 (*.f64 (-.f64 (*.f64 1/129600 (pow.f64 x 12)) (pow.f64 (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4))) 2)) 1) (-.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4))) 3) (pow.f64 (*.f64 1/360 (pow.f64 x 6)) 3)) 1) (+.f64 (*.f64 1/129600 (pow.f64 x 12)) (*.f64 (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4))) (-.f64 (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4))) (*.f64 1/360 (pow.f64 x 6))))))
(pow.f64 (fma.f64 1/360 (pow.f64 x 6) (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))) 1)
(pow.f64 (sqrt.f64 (fma.f64 1/360 (pow.f64 x 6) (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4))))) 2)
(pow.f64 (cbrt.f64 (fma.f64 1/360 (pow.f64 x 6) (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4))))) 3)
(pow.f64 (pow.f64 (fma.f64 1/360 (pow.f64 x 6) (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 1/360 (pow.f64 x 6) (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))) 2))
(log.f64 (exp.f64 (fma.f64 1/360 (pow.f64 x 6) (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4))))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/360 (pow.f64 x 6) (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))))))
(cbrt.f64 (pow.f64 (fma.f64 1/360 (pow.f64 x 6) (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/360 (pow.f64 x 6) (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4))))))
(exp.f64 (log.f64 (fma.f64 1/360 (pow.f64 x 6) (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4))))))
(log1p.f64 (expm1.f64 (fma.f64 1/360 (pow.f64 x 6) (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4))))))
Outputs
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))))
(fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/360 (pow.f64 x 6))))
(fma.f64 1/12 (pow.f64 x 4) (fma.f64 1/360 (pow.f64 x 6) (*.f64 x x)))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))))
(fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/360 (pow.f64 x 6))))
(fma.f64 1/12 (pow.f64 x 4) (fma.f64 1/360 (pow.f64 x 6) (*.f64 x x)))
(*.f64 1/360 (pow.f64 x 6))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 1/360 (pow.f64 x 6)))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))))
(fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/360 (pow.f64 x 6))))
(fma.f64 1/12 (pow.f64 x 4) (fma.f64 1/360 (pow.f64 x 6) (*.f64 x x)))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))))
(fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/360 (pow.f64 x 6))))
(fma.f64 1/12 (pow.f64 x 4) (fma.f64 1/360 (pow.f64 x 6) (*.f64 x x)))
(*.f64 1/360 (pow.f64 x 6))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 1/360 (pow.f64 x 6)))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))))
(fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/360 (pow.f64 x 6))))
(fma.f64 1/12 (pow.f64 x 4) (fma.f64 1/360 (pow.f64 x 6) (*.f64 x x)))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))))
(fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/360 (pow.f64 x 6))))
(fma.f64 1/12 (pow.f64 x 4) (fma.f64 1/360 (pow.f64 x 6) (*.f64 x x)))
(+.f64 (*.f64 x x) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6))))
(fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/360 (pow.f64 x 6))))
(fma.f64 1/12 (pow.f64 x 4) (fma.f64 1/360 (pow.f64 x 6) (*.f64 x x)))
(+.f64 (*.f64 1/12 (pow.f64 x 4)) (+.f64 (*.f64 x x) (*.f64 1/360 (pow.f64 x 6))))
(fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/360 (pow.f64 x 6))))
(fma.f64 1/12 (pow.f64 x 4) (fma.f64 1/360 (pow.f64 x 6) (*.f64 x x)))
(+.f64 (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4))) (*.f64 1/360 (pow.f64 x 6)))
(fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/360 (pow.f64 x 6))))
(fma.f64 1/12 (pow.f64 x 4) (fma.f64 1/360 (pow.f64 x 6) (*.f64 x x)))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4))))
(fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/360 (pow.f64 x 6))))
(fma.f64 1/12 (pow.f64 x 4) (fma.f64 1/360 (pow.f64 x 6) (*.f64 x x)))
(+.f64 (+.f64 (*.f64 x x) (*.f64 1/360 (pow.f64 x 6))) (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/360 (pow.f64 x 6))))
(fma.f64 1/12 (pow.f64 x 4) (fma.f64 1/360 (pow.f64 x 6) (*.f64 x x)))
(+.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6))) (*.f64 x x))
(fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/360 (pow.f64 x 6))))
(fma.f64 1/12 (pow.f64 x 4) (fma.f64 1/360 (pow.f64 x 6) (*.f64 x x)))
(+.f64 (*.f64 (+.f64 (*.f64 x x) (*.f64 1/360 (pow.f64 x 6))) 1) (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/360 (pow.f64 x 6))))
(fma.f64 1/12 (pow.f64 x 4) (fma.f64 1/360 (pow.f64 x 6) (*.f64 x x)))
(+.f64 (*.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6))) 1) (*.f64 x x))
(fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/360 (pow.f64 x 6))))
(fma.f64 1/12 (pow.f64 x 4) (fma.f64 1/360 (pow.f64 x 6) (*.f64 x x)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/360 (pow.f64 x 6) (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))))) 1)
(fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/360 (pow.f64 x 6))))
(fma.f64 1/12 (pow.f64 x 4) (fma.f64 1/360 (pow.f64 x 6) (*.f64 x x)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4))))) (-.f64 1 (*.f64 1/360 (pow.f64 x 6))))
(fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/360 (pow.f64 x 6))))
(fma.f64 1/12 (pow.f64 x 4) (fma.f64 1/360 (pow.f64 x 6) (*.f64 x x)))
(-.f64 (/.f64 (pow.f64 x 4) (fma.f64 x x (*.f64 (pow.f64 x 4) -1/12))) (-.f64 (/.f64 (*.f64 (pow.f64 x 8) 1/144) (fma.f64 x x (*.f64 (pow.f64 x 4) -1/12))) (*.f64 1/360 (pow.f64 x 6))))
(+.f64 (-.f64 (/.f64 (pow.f64 x 4) (fma.f64 x x (*.f64 (pow.f64 x 4) -1/12))) (/.f64 (*.f64 (pow.f64 x 8) 1/144) (fma.f64 x x (*.f64 (pow.f64 x 4) -1/12)))) (*.f64 1/360 (pow.f64 x 6)))
(-.f64 (fma.f64 1/360 (pow.f64 x 6) (/.f64 (pow.f64 x 4) (fma.f64 x x (*.f64 (pow.f64 x 4) -1/12)))) (*.f64 (/.f64 (pow.f64 x 8) (fma.f64 x x (*.f64 (pow.f64 x 4) -1/12))) 1/144))
(+.f64 (fma.f64 1/360 (pow.f64 x 6) (/.f64 (pow.f64 x 4) (fma.f64 x x (*.f64 (pow.f64 x 4) -1/12)))) (/.f64 (*.f64 (pow.f64 x 8) -1/144) (fma.f64 x x (*.f64 (pow.f64 x 4) -1/12))))
(-.f64 (/.f64 (pow.f64 x 4) (fma.f64 x x (*.f64 (pow.f64 x 4) -1/12))) (fma.f64 (/.f64 (pow.f64 x 8) (fma.f64 x x (*.f64 (pow.f64 x 4) -1/12))) 1/144 (*.f64 (pow.f64 x 6) -1/360)))
(-.f64 (+.f64 (*.f64 1/360 (pow.f64 x 6)) (exp.f64 (log1p.f64 (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))))) 1)
(fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/360 (pow.f64 x 6))))
(fma.f64 1/12 (pow.f64 x 4) (fma.f64 1/360 (pow.f64 x 6) (*.f64 x x)))
(-.f64 (+.f64 (*.f64 1/360 (pow.f64 x 6)) (/.f64 (pow.f64 x 4) (fma.f64 x x (*.f64 (pow.f64 x 4) -1/12)))) (/.f64 (*.f64 (pow.f64 x 8) 1/144) (fma.f64 x x (*.f64 (pow.f64 x 4) -1/12))))
(+.f64 (-.f64 (/.f64 (pow.f64 x 4) (fma.f64 x x (*.f64 (pow.f64 x 4) -1/12))) (/.f64 (*.f64 (pow.f64 x 8) 1/144) (fma.f64 x x (*.f64 (pow.f64 x 4) -1/12)))) (*.f64 1/360 (pow.f64 x 6)))
(-.f64 (fma.f64 1/360 (pow.f64 x 6) (/.f64 (pow.f64 x 4) (fma.f64 x x (*.f64 (pow.f64 x 4) -1/12)))) (*.f64 (/.f64 (pow.f64 x 8) (fma.f64 x x (*.f64 (pow.f64 x 4) -1/12))) 1/144))
(+.f64 (fma.f64 1/360 (pow.f64 x 6) (/.f64 (pow.f64 x 4) (fma.f64 x x (*.f64 (pow.f64 x 4) -1/12)))) (/.f64 (*.f64 (pow.f64 x 8) -1/144) (fma.f64 x x (*.f64 (pow.f64 x 4) -1/12))))
(-.f64 (/.f64 (pow.f64 x 4) (fma.f64 x x (*.f64 (pow.f64 x 4) -1/12))) (fma.f64 (/.f64 (pow.f64 x 8) (fma.f64 x x (*.f64 (pow.f64 x 4) -1/12))) 1/144 (*.f64 (pow.f64 x 6) -1/360)))
(-.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 1/360 (pow.f64 x 6))) (exp.f64 (log1p.f64 (*.f64 1/12 (pow.f64 x 4))))) 1)
(fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/360 (pow.f64 x 6))))
(fma.f64 1/12 (pow.f64 x 4) (fma.f64 1/360 (pow.f64 x 6) (*.f64 x x)))
(-.f64 (+.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6))) (exp.f64 (log1p.f64 (*.f64 x x)))) 1)
(fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/360 (pow.f64 x 6))))
(fma.f64 1/12 (pow.f64 x 4) (fma.f64 1/360 (pow.f64 x 6) (*.f64 x x)))
(*.f64 (fma.f64 1/360 (pow.f64 x 6) (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))) 1)
(fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/360 (pow.f64 x 6))))
(fma.f64 1/12 (pow.f64 x 4) (fma.f64 1/360 (pow.f64 x 6) (*.f64 x x)))
(*.f64 1 (fma.f64 1/360 (pow.f64 x 6) (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))))
(fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/360 (pow.f64 x 6))))
(fma.f64 1/12 (pow.f64 x 4) (fma.f64 1/360 (pow.f64 x 6) (*.f64 x x)))
(*.f64 (sqrt.f64 (fma.f64 1/360 (pow.f64 x 6) (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4))))) (sqrt.f64 (fma.f64 1/360 (pow.f64 x 6) (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4))))))
(fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/360 (pow.f64 x 6))))
(fma.f64 1/12 (pow.f64 x 4) (fma.f64 1/360 (pow.f64 x 6) (*.f64 x x)))
(*.f64 (cbrt.f64 (fma.f64 1/360 (pow.f64 x 6) (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4))))) (pow.f64 (cbrt.f64 (fma.f64 1/360 (pow.f64 x 6) (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4))))) 2))
(fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/360 (pow.f64 x 6))))
(fma.f64 1/12 (pow.f64 x 4) (fma.f64 1/360 (pow.f64 x 6) (*.f64 x x)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/360 (pow.f64 x 6) (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4))))) 2) (cbrt.f64 (fma.f64 1/360 (pow.f64 x 6) (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4))))))
(fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/360 (pow.f64 x 6))))
(fma.f64 1/12 (pow.f64 x 4) (fma.f64 1/360 (pow.f64 x 6) (*.f64 x x)))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 1/360 (pow.f64 x 6) (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))))) (cbrt.f64 (fma.f64 1/360 (pow.f64 x 6) (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))))) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 1/360 (pow.f64 x 6) (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))))) (cbrt.f64 (fma.f64 1/360 (pow.f64 x 6) (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))))))
(fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/360 (pow.f64 x 6))))
(fma.f64 1/12 (pow.f64 x 4) (fma.f64 1/360 (pow.f64 x 6) (*.f64 x x)))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 1/360 (pow.f64 x 6) (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 1/360 (pow.f64 x 6) (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4))))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 1/360 (pow.f64 x 6) (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 1/360 (pow.f64 x 6) (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4))))) 2))))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/360 (pow.f64 x 6)))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/360 (pow.f64 x 6))))) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/360 (pow.f64 x 6)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/360 (pow.f64 x 6))))) 2)))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/12 (pow.f64 x 4) (fma.f64 1/360 (pow.f64 x 6) (*.f64 x x)))) 2) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 1/12 (pow.f64 x 4) (fma.f64 1/360 (pow.f64 x 6) (*.f64 x x))))) (cbrt.f64 (sqrt.f64 (fma.f64 1/12 (pow.f64 x 4) (fma.f64 1/360 (pow.f64 x 6) (*.f64 x x)))))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/360 (pow.f64 x 6))))) 2) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/360 (pow.f64 x 6)))))) (cbrt.f64 (sqrt.f64 (fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/360 (pow.f64 x 6))))))))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/360 (pow.f64 x 6)))))) (*.f64 (pow.f64 (cbrt.f64 (fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/360 (pow.f64 x 6))))) 2) (cbrt.f64 (sqrt.f64 (fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/360 (pow.f64 x 6))))))))
(*.f64 (*.f64 (cbrt.f64 (fma.f64 1/360 (pow.f64 x 6) (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4))))) (sqrt.f64 (cbrt.f64 (fma.f64 1/360 (pow.f64 x 6) (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4))))))) (*.f64 (cbrt.f64 (fma.f64 1/360 (pow.f64 x 6) (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4))))) (sqrt.f64 (cbrt.f64 (fma.f64 1/360 (pow.f64 x 6) (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4))))))))
(fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/360 (pow.f64 x 6))))
(fma.f64 1/12 (pow.f64 x 4) (fma.f64 1/360 (pow.f64 x 6) (*.f64 x x)))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 1/360 (pow.f64 x 6) (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4))))) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 1/360 (pow.f64 x 6) (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4))))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 1/360 (pow.f64 x 6) (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4))))) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 1/360 (pow.f64 x 6) (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4))))))))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/360 (pow.f64 x 6)))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/360 (pow.f64 x 6))))) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/360 (pow.f64 x 6)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/360 (pow.f64 x 6))))) 2)))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/12 (pow.f64 x 4) (fma.f64 1/360 (pow.f64 x 6) (*.f64 x x)))) 2) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 1/12 (pow.f64 x 4) (fma.f64 1/360 (pow.f64 x 6) (*.f64 x x))))) (cbrt.f64 (sqrt.f64 (fma.f64 1/12 (pow.f64 x 4) (fma.f64 1/360 (pow.f64 x 6) (*.f64 x x)))))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/360 (pow.f64 x 6))))) 2) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/360 (pow.f64 x 6)))))) (cbrt.f64 (sqrt.f64 (fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/360 (pow.f64 x 6))))))))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/360 (pow.f64 x 6)))))) (*.f64 (pow.f64 (cbrt.f64 (fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/360 (pow.f64 x 6))))) 2) (cbrt.f64 (sqrt.f64 (fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/360 (pow.f64 x 6))))))))
(/.f64 (-.f64 (*.f64 1/129600 (pow.f64 x 12)) (pow.f64 (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4))) 2)) (-.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))))
(/.f64 (-.f64 (*.f64 1/129600 (pow.f64 x 12)) (pow.f64 (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))) 2)) (-.f64 (*.f64 1/360 (pow.f64 x 6)) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))))
(/.f64 (-.f64 (*.f64 1/129600 (pow.f64 x 12)) (pow.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x)) 2)) (-.f64 (*.f64 1/360 (pow.f64 x 6)) (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))))
(/.f64 (+.f64 (pow.f64 (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4))) 3) (pow.f64 (*.f64 1/360 (pow.f64 x 6)) 3)) (+.f64 (*.f64 1/129600 (pow.f64 x 12)) (*.f64 (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4))) (-.f64 (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4))) (*.f64 1/360 (pow.f64 x 6))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))) 3) (*.f64 1/46656000 (pow.f64 (pow.f64 x 6) 3))) (fma.f64 1/129600 (pow.f64 x 12) (*.f64 (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))) (+.f64 (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))) (*.f64 -1/360 (pow.f64 x 6))))))
(/.f64 (fma.f64 1/46656000 (pow.f64 (pow.f64 x 6) 3) (pow.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x)) 3)) (fma.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x)) (fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 (pow.f64 x 6) -1/360))) (*.f64 1/129600 (pow.f64 x 12))))
(/.f64 (fma.f64 1/46656000 (pow.f64 (pow.f64 x 6) 3) (pow.f64 (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))) 3)) (fma.f64 (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))) (fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 (pow.f64 x 6) -1/360))) (*.f64 1/129600 (pow.f64 x 12))))
(/.f64 (fma.f64 1/46656000 (pow.f64 (pow.f64 x 6) 3) (pow.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x)) 3)) (fma.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x)) (fma.f64 1/12 (pow.f64 x 4) (fma.f64 x x (*.f64 (pow.f64 x 6) -1/360))) (*.f64 1/129600 (pow.f64 x 12))))
(/.f64 (*.f64 1 (-.f64 (*.f64 1/129600 (pow.f64 x 12)) (pow.f64 (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4))) 2))) (-.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))))
(/.f64 (-.f64 (*.f64 1/129600 (pow.f64 x 12)) (pow.f64 (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))) 2)) (-.f64 (*.f64 1/360 (pow.f64 x 6)) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))))
(/.f64 (-.f64 (*.f64 1/129600 (pow.f64 x 12)) (pow.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x)) 2)) (-.f64 (*.f64 1/360 (pow.f64 x 6)) (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))))
(/.f64 (*.f64 1 (+.f64 (pow.f64 (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4))) 3) (pow.f64 (*.f64 1/360 (pow.f64 x 6)) 3))) (+.f64 (*.f64 1/129600 (pow.f64 x 12)) (*.f64 (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4))) (-.f64 (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4))) (*.f64 1/360 (pow.f64 x 6))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))) 3) (*.f64 1/46656000 (pow.f64 (pow.f64 x 6) 3))) (fma.f64 1/129600 (pow.f64 x 12) (*.f64 (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))) (+.f64 (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))) (*.f64 -1/360 (pow.f64 x 6))))))
(/.f64 (fma.f64 1/46656000 (pow.f64 (pow.f64 x 6) 3) (pow.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x)) 3)) (fma.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x)) (fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 (pow.f64 x 6) -1/360))) (*.f64 1/129600 (pow.f64 x 12))))
(/.f64 (fma.f64 1/46656000 (pow.f64 (pow.f64 x 6) 3) (pow.f64 (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))) 3)) (fma.f64 (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))) (fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 (pow.f64 x 6) -1/360))) (*.f64 1/129600 (pow.f64 x 12))))
(/.f64 (fma.f64 1/46656000 (pow.f64 (pow.f64 x 6) 3) (pow.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x)) 3)) (fma.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x)) (fma.f64 1/12 (pow.f64 x 4) (fma.f64 x x (*.f64 (pow.f64 x 6) -1/360))) (*.f64 1/129600 (pow.f64 x 12))))
(/.f64 (*.f64 (-.f64 (*.f64 1/129600 (pow.f64 x 12)) (pow.f64 (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4))) 2)) 1) (-.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))))
(/.f64 (-.f64 (*.f64 1/129600 (pow.f64 x 12)) (pow.f64 (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))) 2)) (-.f64 (*.f64 1/360 (pow.f64 x 6)) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))))
(/.f64 (-.f64 (*.f64 1/129600 (pow.f64 x 12)) (pow.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x)) 2)) (-.f64 (*.f64 1/360 (pow.f64 x 6)) (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4))) 3) (pow.f64 (*.f64 1/360 (pow.f64 x 6)) 3)) 1) (+.f64 (*.f64 1/129600 (pow.f64 x 12)) (*.f64 (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4))) (-.f64 (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4))) (*.f64 1/360 (pow.f64 x 6))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))) 3) (*.f64 1/46656000 (pow.f64 (pow.f64 x 6) 3))) (fma.f64 1/129600 (pow.f64 x 12) (*.f64 (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))) (+.f64 (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))) (*.f64 -1/360 (pow.f64 x 6))))))
(/.f64 (fma.f64 1/46656000 (pow.f64 (pow.f64 x 6) 3) (pow.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x)) 3)) (fma.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x)) (fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 (pow.f64 x 6) -1/360))) (*.f64 1/129600 (pow.f64 x 12))))
(/.f64 (fma.f64 1/46656000 (pow.f64 (pow.f64 x 6) 3) (pow.f64 (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))) 3)) (fma.f64 (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))) (fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 (pow.f64 x 6) -1/360))) (*.f64 1/129600 (pow.f64 x 12))))
(/.f64 (fma.f64 1/46656000 (pow.f64 (pow.f64 x 6) 3) (pow.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x)) 3)) (fma.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x)) (fma.f64 1/12 (pow.f64 x 4) (fma.f64 x x (*.f64 (pow.f64 x 6) -1/360))) (*.f64 1/129600 (pow.f64 x 12))))
(pow.f64 (fma.f64 1/360 (pow.f64 x 6) (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))) 1)
(fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/360 (pow.f64 x 6))))
(fma.f64 1/12 (pow.f64 x 4) (fma.f64 1/360 (pow.f64 x 6) (*.f64 x x)))
(pow.f64 (sqrt.f64 (fma.f64 1/360 (pow.f64 x 6) (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4))))) 2)
(fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/360 (pow.f64 x 6))))
(fma.f64 1/12 (pow.f64 x 4) (fma.f64 1/360 (pow.f64 x 6) (*.f64 x x)))
(pow.f64 (cbrt.f64 (fma.f64 1/360 (pow.f64 x 6) (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4))))) 3)
(fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/360 (pow.f64 x 6))))
(fma.f64 1/12 (pow.f64 x 4) (fma.f64 1/360 (pow.f64 x 6) (*.f64 x x)))
(pow.f64 (pow.f64 (fma.f64 1/360 (pow.f64 x 6) (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))) 3) 1/3)
(fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/360 (pow.f64 x 6))))
(fma.f64 1/12 (pow.f64 x 4) (fma.f64 1/360 (pow.f64 x 6) (*.f64 x x)))
(sqrt.f64 (pow.f64 (fma.f64 1/360 (pow.f64 x 6) (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))) 2))
(fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/360 (pow.f64 x 6))))
(fma.f64 1/12 (pow.f64 x 4) (fma.f64 1/360 (pow.f64 x 6) (*.f64 x x)))
(log.f64 (exp.f64 (fma.f64 1/360 (pow.f64 x 6) (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4))))))
(fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/360 (pow.f64 x 6))))
(fma.f64 1/12 (pow.f64 x 4) (fma.f64 1/360 (pow.f64 x 6) (*.f64 x x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/360 (pow.f64 x 6) (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))))))
(fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/360 (pow.f64 x 6))))
(fma.f64 1/12 (pow.f64 x 4) (fma.f64 1/360 (pow.f64 x 6) (*.f64 x x)))
(cbrt.f64 (pow.f64 (fma.f64 1/360 (pow.f64 x 6) (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))) 3))
(fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/360 (pow.f64 x 6))))
(fma.f64 1/12 (pow.f64 x 4) (fma.f64 1/360 (pow.f64 x 6) (*.f64 x x)))
(expm1.f64 (log1p.f64 (fma.f64 1/360 (pow.f64 x 6) (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4))))))
(fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/360 (pow.f64 x 6))))
(fma.f64 1/12 (pow.f64 x 4) (fma.f64 1/360 (pow.f64 x 6) (*.f64 x x)))
(exp.f64 (log.f64 (fma.f64 1/360 (pow.f64 x 6) (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4))))))
(fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/360 (pow.f64 x 6))))
(fma.f64 1/12 (pow.f64 x 4) (fma.f64 1/360 (pow.f64 x 6) (*.f64 x x)))
(log1p.f64 (expm1.f64 (fma.f64 1/360 (pow.f64 x 6) (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4))))))
(fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/360 (pow.f64 x 6))))
(fma.f64 1/12 (pow.f64 x 4) (fma.f64 1/360 (pow.f64 x 6) (*.f64 x x)))

localize19.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(-.f64 2 (exp.f64 x))
✓0.2b
(exp.f64 (log.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))))
2.6b
(-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))
Compiler

Compiled 41 to 19 computations (53.7% saved)

series0.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@0
(exp.f64 (log.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))))
0.0ms
x
@inf
(exp.f64 (log.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))))
0.0ms
x
@-inf
(exp.f64 (log.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))))

rewrite91.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
1288×associate-*r/
910×associate-*l/
904×*-commutative
604×distribute-lft-in
588×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01225
125021
2328021
Stop Event
1×node limit
Counts
1 → 158
Calls
Call 1
Inputs
(exp.f64 (log.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))))
Outputs
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simplify205.0ms (2%)

Algorithm
1×egg-herbie
Rules
1224×associate-/r/
842×associate--l-
754×associate--r-
526×fma-def
514×+-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
044513468
1132212286
2640412262
Stop Event
1×node limit
Counts
170 → 276
Calls
Call 1
Inputs
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))))
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2)
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2)
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2)
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2)
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) -2))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 (exp.f64 (neg.f64 x)) -2) (fma.f64 (+.f64 (exp.f64 (neg.f64 x)) -2) 1 (-.f64 2 (exp.f64 x)))))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 (exp.f64 (neg.f64 x)) -2) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 2 (exp.f64 x)))) (sqrt.f64 (-.f64 2 (exp.f64 x))) (-.f64 2 (exp.f64 x)))))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 (exp.f64 (neg.f64 x)) -2) (fma.f64 (neg.f64 (cbrt.f64 (-.f64 2 (exp.f64 x)))) (pow.f64 (cbrt.f64 (-.f64 2 (exp.f64 x))) 2) (-.f64 2 (exp.f64 x)))))
(+.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) (fma.f64 (+.f64 (exp.f64 (neg.f64 x)) -2) 1 (-.f64 2 (exp.f64 x))))
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(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 (neg.f64 x)) 2) 3) (pow.f64 (pow.f64 (-.f64 2 (exp.f64 x)) 2) 3)) (/.f64 1 (+.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))))) (+.f64 (/.f64 (pow.f64 (exp.f64 (neg.f64 x)) 3) (exp.f64 (neg.f64 x))) (+.f64 (*.f64 (pow.f64 (-.f64 2 (exp.f64 x)) 2) (pow.f64 (-.f64 2 (exp.f64 x)) 2)) (*.f64 (pow.f64 (-.f64 2 (exp.f64 x)) 2) (pow.f64 (exp.f64 (neg.f64 x)) 2)))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 (neg.f64 x)) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (*.f64 (pow.f64 (-.f64 2 (exp.f64 x)) 3) (pow.f64 (-.f64 2 (exp.f64 x)) 3))) (/.f64 1 (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) 2) (*.f64 (-.f64 2 (exp.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))))))) (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) 3) (pow.f64 (-.f64 2 (exp.f64 x)) 3)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 (neg.f64 x)) 3) 3) (pow.f64 (pow.f64 (-.f64 2 (exp.f64 x)) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) 2) (*.f64 (-.f64 2 (exp.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))))))) (+.f64 (+.f64 (*.f64 (pow.f64 (exp.f64 (neg.f64 x)) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (*.f64 (pow.f64 (-.f64 2 (exp.f64 x)) 3) (pow.f64 (-.f64 2 (exp.f64 x)) 3))) (*.f64 (pow.f64 (exp.f64 (neg.f64 x)) 3) (pow.f64 (-.f64 2 (exp.f64 x)) 3))))
(/.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 (neg.f64 x)) 2) (pow.f64 (-.f64 2 (exp.f64 x)) 2)) 1) (+.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))))
(/.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 (neg.f64 x)) 2) (pow.f64 (-.f64 2 (exp.f64 x)) 2)) (sqrt.f64 (+.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))))) (sqrt.f64 (+.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 (neg.f64 x)) 2) (pow.f64 (-.f64 2 (exp.f64 x)) 2)) (*.f64 (cbrt.f64 (+.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))) (cbrt.f64 (+.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))))) (cbrt.f64 (+.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 (neg.f64 x)) 3) (pow.f64 (-.f64 2 (exp.f64 x)) 3)) 1) (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) 2) (*.f64 (-.f64 2 (exp.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 (neg.f64 x)) 3) (pow.f64 (-.f64 2 (exp.f64 x)) 3)) (sqrt.f64 (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) 2) (*.f64 (-.f64 2 (exp.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))))))) (sqrt.f64 (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) 2) (*.f64 (-.f64 2 (exp.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 (neg.f64 x)) 3) (pow.f64 (-.f64 2 (exp.f64 x)) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) 2) (*.f64 (-.f64 2 (exp.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))))) (cbrt.f64 (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) 2) (*.f64 (-.f64 2 (exp.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))))))) (cbrt.f64 (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) 2) (*.f64 (-.f64 2 (exp.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))))))
(/.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (*.f64 (exp.f64 (neg.f64 x)) (-.f64 4 (pow.f64 (exp.f64 (neg.f64 x)) 2))))) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) 2))
(/.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (*.f64 (exp.f64 (neg.f64 x)) (-.f64 4 (pow.f64 (exp.f64 (neg.f64 x)) 2))))) 1) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) 2)))
(/.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (*.f64 (exp.f64 (neg.f64 x)) (-.f64 4 (pow.f64 (exp.f64 (neg.f64 x)) 2))))) (sqrt.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) 2)))) (sqrt.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) 2))))
(/.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (*.f64 (exp.f64 (neg.f64 x)) (-.f64 4 (pow.f64 (exp.f64 (neg.f64 x)) 2))))) (*.f64 (cbrt.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) 2))) (cbrt.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) 2))))) (cbrt.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) 2))))
(/.f64 (/.f64 (+.f64 4 (-.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) 2)) (*.f64 (exp.f64 (neg.f64 x)) (-.f64 8 (pow.f64 (exp.f64 (neg.f64 x)) 3))))) (exp.f64 (neg.f64 x))) (+.f64 4 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) 2))))
(pow.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) 1)
(pow.f64 (sqrt.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))) 2)
(pow.f64 (cbrt.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))) 3)
(pow.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) 3) 1/3)
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))))) (sqrt.f64 (log.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))))) 2)) (cbrt.f64 (log.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))))))
(pow.f64 (exp.f64 1) (log.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))))
(sqrt.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) 2))
(log.f64 (exp.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))))))
(cbrt.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) 3))
(expm1.f64 (log1p.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))))
(log1p.f64 (expm1.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))))
(fma.f64 1 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) -2))
(fma.f64 (sqrt.f64 (exp.f64 (neg.f64 x))) (sqrt.f64 (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) -2))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 (neg.f64 x))) 2) (cbrt.f64 (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) -2))
Outputs
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))))
(fma.f64 1/360 (pow.f64 x 6) (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4))))
(fma.f64 1/360 (pow.f64 x 6) (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x)))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))))
(fma.f64 1/360 (pow.f64 x 6) (+.f64 (*.f64 x x) (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/20160 (pow.f64 x 8)))))
(fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/20160 (pow.f64 x 8)))))
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 -2 (exp.f64 x)))
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 -2 (exp.f64 x)))
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 -2 (exp.f64 x)))
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 -2 (exp.f64 x)))
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2)
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 -2 (exp.f64 x)))
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2)
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 -2 (exp.f64 x)))
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2)
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 -2 (exp.f64 x)))
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2)
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 -2 (exp.f64 x)))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) -2))
(+.f64 -2 (*.f64 2 (exp.f64 (neg.f64 x))))
(+.f64 -2 (/.f64 2 (exp.f64 x)))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 (exp.f64 (neg.f64 x)) -2) (fma.f64 (+.f64 (exp.f64 (neg.f64 x)) -2) 1 (-.f64 2 (exp.f64 x)))))
(+.f64 (+.f64 -2 (*.f64 2 (exp.f64 (neg.f64 x)))) (fma.f64 (+.f64 (exp.f64 (neg.f64 x)) -2) 1 (-.f64 2 (exp.f64 x))))
(+.f64 -2 (+.f64 (/.f64 2 (exp.f64 x)) (+.f64 (+.f64 (exp.f64 (neg.f64 x)) -2) (-.f64 2 (exp.f64 x)))))
(+.f64 (+.f64 (+.f64 (exp.f64 (neg.f64 x)) -2) (-.f64 2 (exp.f64 x))) (+.f64 -2 (/.f64 2 (exp.f64 x))))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 (exp.f64 (neg.f64 x)) -2) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 2 (exp.f64 x)))) (sqrt.f64 (-.f64 2 (exp.f64 x))) (-.f64 2 (exp.f64 x)))))
(+.f64 (+.f64 -2 (*.f64 2 (exp.f64 (neg.f64 x)))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 2 (exp.f64 x)))) (sqrt.f64 (-.f64 2 (exp.f64 x))) (-.f64 2 (exp.f64 x))))
(+.f64 -2 (+.f64 (/.f64 2 (exp.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 2 (exp.f64 x)))) (sqrt.f64 (-.f64 2 (exp.f64 x))) (-.f64 2 (exp.f64 x)))))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 (exp.f64 (neg.f64 x)) -2) (fma.f64 (neg.f64 (cbrt.f64 (-.f64 2 (exp.f64 x)))) (pow.f64 (cbrt.f64 (-.f64 2 (exp.f64 x))) 2) (-.f64 2 (exp.f64 x)))))
(+.f64 (+.f64 -2 (*.f64 2 (exp.f64 (neg.f64 x)))) (fma.f64 (neg.f64 (cbrt.f64 (-.f64 2 (exp.f64 x)))) (pow.f64 (cbrt.f64 (-.f64 2 (exp.f64 x))) 2) (-.f64 2 (exp.f64 x))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (-.f64 2 (exp.f64 x)))) (pow.f64 (cbrt.f64 (-.f64 2 (exp.f64 x))) 2) (-.f64 2 (exp.f64 x))) (+.f64 -2 (/.f64 2 (exp.f64 x))))
(+.f64 -2 (+.f64 (/.f64 2 (exp.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (-.f64 2 (exp.f64 x)))) (pow.f64 (cbrt.f64 (-.f64 2 (exp.f64 x))) 2) (-.f64 2 (exp.f64 x)))))
(+.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) (fma.f64 (+.f64 (exp.f64 (neg.f64 x)) -2) 1 (-.f64 2 (exp.f64 x))))
(+.f64 (fma.f64 (+.f64 (exp.f64 (neg.f64 x)) -2) 1 (-.f64 2 (exp.f64 x))) (+.f64 (-.f64 (exp.f64 (neg.f64 x)) 2) (exp.f64 x)))
(+.f64 (+.f64 (+.f64 -2 (/.f64 2 (exp.f64 x))) (-.f64 2 (exp.f64 x))) (+.f64 -2 (exp.f64 x)))
(+.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 2 (exp.f64 x)))) (sqrt.f64 (-.f64 2 (exp.f64 x))) (-.f64 2 (exp.f64 x))))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 2 (exp.f64 x)))) (sqrt.f64 (-.f64 2 (exp.f64 x))) (-.f64 2 (exp.f64 x))) (+.f64 (-.f64 (exp.f64 (neg.f64 x)) 2) (exp.f64 x)))
(+.f64 (+.f64 (exp.f64 (neg.f64 x)) -2) (+.f64 (exp.f64 x) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 2 (exp.f64 x)))) (sqrt.f64 (-.f64 2 (exp.f64 x))) (-.f64 2 (exp.f64 x)))))
(+.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (-.f64 2 (exp.f64 x)))) (pow.f64 (cbrt.f64 (-.f64 2 (exp.f64 x))) 2) (-.f64 2 (exp.f64 x))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (-.f64 2 (exp.f64 x)))) (pow.f64 (cbrt.f64 (-.f64 2 (exp.f64 x))) 2) (-.f64 2 (exp.f64 x))) (+.f64 (-.f64 (exp.f64 (neg.f64 x)) 2) (exp.f64 x)))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 -2 (exp.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (-.f64 2 (exp.f64 x)))) (pow.f64 (cbrt.f64 (-.f64 2 (exp.f64 x))) 2) (-.f64 2 (exp.f64 x)))))
(+.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) (+.f64 (fma.f64 (+.f64 (exp.f64 (neg.f64 x)) -2) 1 (-.f64 2 (exp.f64 x))) (fma.f64 (+.f64 (exp.f64 (neg.f64 x)) -2) 1 (-.f64 2 (exp.f64 x)))))
(+.f64 (+.f64 (-.f64 (exp.f64 (neg.f64 x)) 2) (exp.f64 x)) (*.f64 2 (fma.f64 (+.f64 (exp.f64 (neg.f64 x)) -2) 1 (-.f64 2 (exp.f64 x)))))
(fma.f64 2 (+.f64 (+.f64 (exp.f64 (neg.f64 x)) -2) (-.f64 2 (exp.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (+.f64 -2 (exp.f64 x))))
(+.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 2 (exp.f64 x)))) (sqrt.f64 (-.f64 2 (exp.f64 x))) (-.f64 2 (exp.f64 x))) (fma.f64 (+.f64 (exp.f64 (neg.f64 x)) -2) 1 (-.f64 2 (exp.f64 x)))))
(+.f64 (+.f64 (-.f64 (exp.f64 (neg.f64 x)) 2) (exp.f64 x)) (+.f64 (fma.f64 (+.f64 (exp.f64 (neg.f64 x)) -2) 1 (-.f64 2 (exp.f64 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 2 (exp.f64 x)))) (sqrt.f64 (-.f64 2 (exp.f64 x))) (-.f64 2 (exp.f64 x)))))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 2 (exp.f64 x)))) (sqrt.f64 (-.f64 2 (exp.f64 x))) (-.f64 2 (exp.f64 x))) (+.f64 (+.f64 (+.f64 -2 (/.f64 2 (exp.f64 x))) (-.f64 2 (exp.f64 x))) (+.f64 -2 (exp.f64 x))))
(+.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (-.f64 2 (exp.f64 x)))) (pow.f64 (cbrt.f64 (-.f64 2 (exp.f64 x))) 2) (-.f64 2 (exp.f64 x))) (fma.f64 (+.f64 (exp.f64 (neg.f64 x)) -2) 1 (-.f64 2 (exp.f64 x)))))
(+.f64 (+.f64 (-.f64 (exp.f64 (neg.f64 x)) 2) (exp.f64 x)) (+.f64 (fma.f64 (+.f64 (exp.f64 (neg.f64 x)) -2) 1 (-.f64 2 (exp.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (-.f64 2 (exp.f64 x)))) (pow.f64 (cbrt.f64 (-.f64 2 (exp.f64 x))) 2) (-.f64 2 (exp.f64 x)))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (-.f64 2 (exp.f64 x)))) (pow.f64 (cbrt.f64 (-.f64 2 (exp.f64 x))) 2) (-.f64 2 (exp.f64 x))) (+.f64 (+.f64 (+.f64 -2 (/.f64 2 (exp.f64 x))) (-.f64 2 (exp.f64 x))) (+.f64 -2 (exp.f64 x))))
(+.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) (+.f64 (fma.f64 (+.f64 (exp.f64 (neg.f64 x)) -2) 1 (-.f64 2 (exp.f64 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 2 (exp.f64 x)))) (sqrt.f64 (-.f64 2 (exp.f64 x))) (-.f64 2 (exp.f64 x)))))
(+.f64 (+.f64 (-.f64 (exp.f64 (neg.f64 x)) 2) (exp.f64 x)) (+.f64 (fma.f64 (+.f64 (exp.f64 (neg.f64 x)) -2) 1 (-.f64 2 (exp.f64 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 2 (exp.f64 x)))) (sqrt.f64 (-.f64 2 (exp.f64 x))) (-.f64 2 (exp.f64 x)))))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 2 (exp.f64 x)))) (sqrt.f64 (-.f64 2 (exp.f64 x))) (-.f64 2 (exp.f64 x))) (+.f64 (+.f64 (+.f64 -2 (/.f64 2 (exp.f64 x))) (-.f64 2 (exp.f64 x))) (+.f64 -2 (exp.f64 x))))
(+.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 2 (exp.f64 x)))) (sqrt.f64 (-.f64 2 (exp.f64 x))) (-.f64 2 (exp.f64 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 2 (exp.f64 x)))) (sqrt.f64 (-.f64 2 (exp.f64 x))) (-.f64 2 (exp.f64 x)))))
(+.f64 (+.f64 (-.f64 (exp.f64 (neg.f64 x)) 2) (exp.f64 x)) (*.f64 2 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 2 (exp.f64 x)))) (sqrt.f64 (-.f64 2 (exp.f64 x))) (-.f64 2 (exp.f64 x)))))
(fma.f64 2 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 2 (exp.f64 x)))) (sqrt.f64 (-.f64 2 (exp.f64 x))) (-.f64 2 (exp.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (+.f64 -2 (exp.f64 x))))
(+.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (-.f64 2 (exp.f64 x)))) (pow.f64 (cbrt.f64 (-.f64 2 (exp.f64 x))) 2) (-.f64 2 (exp.f64 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 2 (exp.f64 x)))) (sqrt.f64 (-.f64 2 (exp.f64 x))) (-.f64 2 (exp.f64 x)))))
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(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 (neg.f64 x)) 3) 3) (pow.f64 (pow.f64 (-.f64 2 (exp.f64 x)) 3) 3)) (*.f64 (fma.f64 (-.f64 2 (exp.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) (pow.f64 (exp.f64 (neg.f64 x)) 2)) (fma.f64 (pow.f64 (exp.f64 (neg.f64 x)) 3) (pow.f64 (-.f64 2 (exp.f64 x)) 3) (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) 6) (pow.f64 (-.f64 2 (exp.f64 x)) 6)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 (neg.f64 x)) 2) (pow.f64 (-.f64 2 (exp.f64 x)) 2)) 1) (+.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))))
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 -2 (exp.f64 x)))
(/.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 (neg.f64 x)) 2) (pow.f64 (-.f64 2 (exp.f64 x)) 2)) (sqrt.f64 (+.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))))) (sqrt.f64 (+.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))))
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 -2 (exp.f64 x)))
(/.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 (neg.f64 x)) 2) (pow.f64 (-.f64 2 (exp.f64 x)) 2)) (*.f64 (cbrt.f64 (+.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))) (cbrt.f64 (+.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))))) (cbrt.f64 (+.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))))
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 -2 (exp.f64 x)))
(/.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 (neg.f64 x)) 3) (pow.f64 (-.f64 2 (exp.f64 x)) 3)) 1) (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) 2) (*.f64 (-.f64 2 (exp.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (neg.f64 x)) 3) (pow.f64 (-.f64 2 (exp.f64 x)) 3)) (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) 2) (*.f64 (-.f64 2 (exp.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (neg.f64 x)) 3) (pow.f64 (-.f64 2 (exp.f64 x)) 3)) (fma.f64 (-.f64 2 (exp.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) (pow.f64 (exp.f64 (neg.f64 x)) 2)))
(/.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 (neg.f64 x)) 3) (pow.f64 (-.f64 2 (exp.f64 x)) 3)) (sqrt.f64 (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) 2) (*.f64 (-.f64 2 (exp.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))))))) (sqrt.f64 (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) 2) (*.f64 (-.f64 2 (exp.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (neg.f64 x)) 3) (pow.f64 (-.f64 2 (exp.f64 x)) 3)) (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) 2) (*.f64 (-.f64 2 (exp.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (neg.f64 x)) 3) (pow.f64 (-.f64 2 (exp.f64 x)) 3)) (fma.f64 (-.f64 2 (exp.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) (pow.f64 (exp.f64 (neg.f64 x)) 2)))
(/.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 (neg.f64 x)) 3) (pow.f64 (-.f64 2 (exp.f64 x)) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) 2) (*.f64 (-.f64 2 (exp.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))))) (cbrt.f64 (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) 2) (*.f64 (-.f64 2 (exp.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))))))) (cbrt.f64 (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) 2) (*.f64 (-.f64 2 (exp.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (neg.f64 x)) 3) (pow.f64 (-.f64 2 (exp.f64 x)) 3)) (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) 2) (*.f64 (-.f64 2 (exp.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (neg.f64 x)) 3) (pow.f64 (-.f64 2 (exp.f64 x)) 3)) (fma.f64 (-.f64 2 (exp.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) (pow.f64 (exp.f64 (neg.f64 x)) 2)))
(/.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (*.f64 (exp.f64 (neg.f64 x)) (-.f64 4 (pow.f64 (exp.f64 (neg.f64 x)) 2))))) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) 2))
(/.f64 (+.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (*.f64 (exp.f64 (neg.f64 x)) (-.f64 4 (pow.f64 (exp.f64 (neg.f64 x)) 2))))) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 2 (exp.f64 (neg.f64 x)))))
(/.f64 (+.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (+.f64 (/.f64 4 (exp.f64 x)) (neg.f64 (pow.f64 (exp.f64 (neg.f64 x)) 3))))) (/.f64 (+.f64 2 (exp.f64 (neg.f64 x))) (exp.f64 x)))
(/.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (*.f64 (exp.f64 (neg.f64 x)) (-.f64 4 (pow.f64 (exp.f64 (neg.f64 x)) 2))))) 1) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) 2)))
(/.f64 (+.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (*.f64 (exp.f64 (neg.f64 x)) (-.f64 4 (pow.f64 (exp.f64 (neg.f64 x)) 2))))) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 2 (exp.f64 (neg.f64 x)))))
(/.f64 (+.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (+.f64 (/.f64 4 (exp.f64 x)) (neg.f64 (pow.f64 (exp.f64 (neg.f64 x)) 3))))) (/.f64 (+.f64 2 (exp.f64 (neg.f64 x))) (exp.f64 x)))
(/.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (*.f64 (exp.f64 (neg.f64 x)) (-.f64 4 (pow.f64 (exp.f64 (neg.f64 x)) 2))))) (sqrt.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) 2)))) (sqrt.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) 2))))
(/.f64 (+.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (*.f64 (exp.f64 (neg.f64 x)) (-.f64 4 (pow.f64 (exp.f64 (neg.f64 x)) 2))))) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 2 (exp.f64 (neg.f64 x)))))
(/.f64 (+.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (+.f64 (/.f64 4 (exp.f64 x)) (neg.f64 (pow.f64 (exp.f64 (neg.f64 x)) 3))))) (/.f64 (+.f64 2 (exp.f64 (neg.f64 x))) (exp.f64 x)))
(/.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (*.f64 (exp.f64 (neg.f64 x)) (-.f64 4 (pow.f64 (exp.f64 (neg.f64 x)) 2))))) (*.f64 (cbrt.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) 2))) (cbrt.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) 2))))) (cbrt.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) 2))))
(/.f64 (+.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (*.f64 (exp.f64 (neg.f64 x)) (-.f64 4 (pow.f64 (exp.f64 (neg.f64 x)) 2))))) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 2 (exp.f64 (neg.f64 x)))))
(/.f64 (+.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (+.f64 (/.f64 4 (exp.f64 x)) (neg.f64 (pow.f64 (exp.f64 (neg.f64 x)) 3))))) (/.f64 (+.f64 2 (exp.f64 (neg.f64 x))) (exp.f64 x)))
(/.f64 (/.f64 (+.f64 4 (-.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) 2)) (*.f64 (exp.f64 (neg.f64 x)) (-.f64 8 (pow.f64 (exp.f64 (neg.f64 x)) 3))))) (exp.f64 (neg.f64 x))) (+.f64 4 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) 2))))
(/.f64 (+.f64 4 (*.f64 (exp.f64 (neg.f64 x)) (-.f64 (+.f64 2 (exp.f64 (neg.f64 x))) (-.f64 8 (pow.f64 (exp.f64 (neg.f64 x)) 3))))) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 4 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 2 (exp.f64 (neg.f64 x)))))))
(*.f64 (exp.f64 x) (/.f64 (fma.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (-.f64 8 (pow.f64 (exp.f64 (neg.f64 x)) 3)))) 4) (fma.f64 (exp.f64 (neg.f64 x)) (+.f64 2 (exp.f64 (neg.f64 x))) 4)))
(*.f64 (exp.f64 x) (/.f64 (fma.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) (+.f64 -6 (pow.f64 (exp.f64 (neg.f64 x)) 3))) 4) (fma.f64 (exp.f64 (neg.f64 x)) (+.f64 2 (exp.f64 (neg.f64 x))) 4)))
(pow.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) 1)
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 -2 (exp.f64 x)))
(pow.f64 (sqrt.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))) 2)
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 -2 (exp.f64 x)))
(pow.f64 (cbrt.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))) 3)
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 -2 (exp.f64 x)))
(pow.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) 3) 1/3)
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 -2 (exp.f64 x)))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))))) (sqrt.f64 (log.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 (-.f64 (exp.f64 (neg.f64 x)) 2) (exp.f64 x))))) (sqrt.f64 (log.f64 (+.f64 (-.f64 (exp.f64 (neg.f64 x)) 2) (exp.f64 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 (exp.f64 (neg.f64 x)) (+.f64 -2 (exp.f64 x)))))) (sqrt.f64 (log.f64 (+.f64 (exp.f64 (neg.f64 x)) (+.f64 -2 (exp.f64 x))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))))) 2)) (cbrt.f64 (log.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (-.f64 (exp.f64 (neg.f64 x)) 2) (exp.f64 x)))) 2)) (cbrt.f64 (log.f64 (+.f64 (-.f64 (exp.f64 (neg.f64 x)) 2) (exp.f64 x)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 (neg.f64 x)) (+.f64 -2 (exp.f64 x))))) 2)) (cbrt.f64 (log.f64 (+.f64 (exp.f64 (neg.f64 x)) (+.f64 -2 (exp.f64 x))))))
(pow.f64 (exp.f64 1) (log.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))))
(pow.f64 (E.f64) (log.f64 (+.f64 (-.f64 (exp.f64 (neg.f64 x)) 2) (exp.f64 x))))
(pow.f64 (E.f64) (log.f64 (+.f64 (exp.f64 (neg.f64 x)) (+.f64 -2 (exp.f64 x)))))
(sqrt.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) 2))
(sqrt.f64 (pow.f64 (+.f64 (-.f64 (exp.f64 (neg.f64 x)) 2) (exp.f64 x)) 2))
(fabs.f64 (+.f64 (exp.f64 (neg.f64 x)) (+.f64 -2 (exp.f64 x))))
(log.f64 (exp.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))))
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 -2 (exp.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))))))
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 -2 (exp.f64 x)))
(cbrt.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) 3))
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 -2 (exp.f64 x)))
(expm1.f64 (log1p.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))))
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 -2 (exp.f64 x)))
(log1p.f64 (expm1.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))))
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 -2 (exp.f64 x)))
(fma.f64 1 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) -2))
(+.f64 -2 (*.f64 2 (exp.f64 (neg.f64 x))))
(+.f64 -2 (/.f64 2 (exp.f64 x)))
(fma.f64 (sqrt.f64 (exp.f64 (neg.f64 x))) (sqrt.f64 (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) -2))
(+.f64 -2 (*.f64 2 (exp.f64 (neg.f64 x))))
(+.f64 -2 (/.f64 2 (exp.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 (neg.f64 x))) 2) (cbrt.f64 (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) -2))
(+.f64 -2 (*.f64 2 (exp.f64 (neg.f64 x))))
(+.f64 -2 (/.f64 2 (exp.f64 x)))

eval679.0ms (6.6%)

Compiler

Compiled 30124 to 19292 computations (36% saved)

prune230.0ms (2.2%)

Pruning

12 alts after pruning (9 fresh and 3 done)

PrunedKeptTotal
New9805985
Fresh044
Picked011
Done224
Total98212994
Error
0b
Counts
994 → 12
Alt Table
Click to see full alt table
StatusErrorProgram
28.2b
(pow.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) 3) 1/3)
▶28.2b
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
▶28.2b
(-.f64 (exp.f64 (neg.f64 x)) (/.f64 (-.f64 4 (exp.f64 (+.f64 x x))) (+.f64 2 (exp.f64 x))))
▶29.4b
(-.f64 (exp.f64 (neg.f64 x)) 1)
0.8b
(+.f64 (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4))) (*.f64 1/360 (pow.f64 x 6)))
✓1.0b
(+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))
▶0.8b
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (fma.f64 x x (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))))
1.2b
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (*.f64 x x))
✓1.2b
(*.f64 x x)
29.2b
(*.f64 1/12 (pow.f64 x 4))
▶29.4b
(*.f64 1/360 (pow.f64 x 6))
✓28.2b
(exp.f64 (log.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))))
Compiler

Compiled 231 to 178 computations (22.9% saved)

localize30.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(fma.f64 x x (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))
0.0b
(*.f64 1/20160 (pow.f64 x 8))
0.0b
(*.f64 1/360 (pow.f64 x 6))
0.1b
(*.f64 1/12 (pow.f64 x 4))
Compiler

Compiled 77 to 59 computations (23.4% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@0
(fma.f64 x x (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))
0.0ms
x
@inf
(fma.f64 x x (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))
0.0ms
x
@-inf
(fma.f64 x x (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))

rewrite73.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
964×unswap-sqr
748×swap-sqr
624×distribute-rgt-in
592×distribute-lft-in
474×associate-*r/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01435
130135
2351935
Stop Event
1×node limit
Counts
1 → 43
Calls
Call 1
Inputs
(fma.f64 x x (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/12 (pow.f64 x 4)) (+.f64 (*.f64 1/20160 (pow.f64 x 8)) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/20160 (pow.f64 x 8)) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x x) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 x x)) (*.f64 1/20160 (pow.f64 x 8)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 1/20160 (pow.f64 x 8)) (*.f64 x x)) (*.f64 1/12 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 x x)) 1) (*.f64 1/20160 (pow.f64 x 8)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 (*.f64 1/20160 (pow.f64 x 8)) (*.f64 x x)) 1) (*.f64 1/12 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x x (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))) (-.f64 1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 x 8) (/.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 (pow.f64 x 8) -1/20160)) 1/144)) (-.f64 (/.f64 (pow.f64 x 16) (/.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 (pow.f64 x 8) -1/20160)) 1/406425600)) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 x x) (exp.f64 (log1p.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 x x) (/.f64 (pow.f64 x 8) (/.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 (pow.f64 x 8) -1/20160)) 1/144))) (/.f64 (pow.f64 x 16) (/.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 (pow.f64 x 8) -1/20160)) 1/406425600)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 x x)) (exp.f64 (log1p.f64 (*.f64 1/20160 (pow.f64 x 8))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 (*.f64 1/20160 (pow.f64 x 8)) (*.f64 x x)) (exp.f64 (log1p.f64 (*.f64 1/12 (pow.f64 x 4))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x x (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x x (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 x (sqrt.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))) (hypot.f64 x (sqrt.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x x (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))) (pow.f64 (cbrt.f64 (fma.f64 x x (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x x (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))) 2) (cbrt.f64 (fma.f64 x x (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))))) (cbrt.f64 (fma.f64 x x (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))))) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))))) (cbrt.f64 (fma.f64 x x (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))))) (cbrt.f64 (fma.f64 x x (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))))) (*.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))))) (cbrt.f64 (fma.f64 x x (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))) 2))) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))) 2))) (*.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (fma.f64 x x (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))) (sqrt.f64 (cbrt.f64 (fma.f64 x x (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))))) (*.f64 (cbrt.f64 (fma.f64 x x (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))) (sqrt.f64 (cbrt.f64 (fma.f64 x x (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))) 2)) (cbrt.f64 (hypot.f64 x (sqrt.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))) 2)) (cbrt.f64 (hypot.f64 x (sqrt.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 4) (pow.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))) 2)) (-.f64 (*.f64 x x) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))) 3) (pow.f64 (*.f64 x x) 3)) (+.f64 (pow.f64 x 4) (*.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))) (-.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (+.f64 (pow.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))) 3) (pow.f64 (*.f64 x x) 3))) (+.f64 (pow.f64 x 4) (*.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))) (-.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 x 4) (pow.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))) 2)) 1) (-.f64 (*.f64 x x) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))) 3) (pow.f64 (*.f64 x x) 3)) 1) (+.f64 (pow.f64 x 4) (*.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))) (-.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x x (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 x (sqrt.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x x (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x x (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x x (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x x (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x x (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x x (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x x (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x x (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x x (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x x (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))))))))

simplify121.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
942×distribute-lft-in
902×distribute-rgt-in
790×associate-/r*
770×associate-/l*
676×associate-*r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01272693
13142647
210292647
344892647
Stop Event
1×node limit
Counts
55 → 64
Calls
Call 1
Inputs
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))
(+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))
(*.f64 1/20160 (pow.f64 x 8))
(+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))
(+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))
(+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))
(*.f64 1/20160 (pow.f64 x 8))
(+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))
(+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))
(+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))
(+.f64 (*.f64 1/12 (pow.f64 x 4)) (+.f64 (*.f64 1/20160 (pow.f64 x 8)) (*.f64 x x)))
(+.f64 (*.f64 1/20160 (pow.f64 x 8)) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 x x)))
(+.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))) (*.f64 x x))
(+.f64 (*.f64 x x) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))
(+.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 x x)) (*.f64 1/20160 (pow.f64 x 8)))
(+.f64 (+.f64 (*.f64 1/20160 (pow.f64 x 8)) (*.f64 x x)) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (*.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 x x)) 1) (*.f64 1/20160 (pow.f64 x 8)))
(+.f64 (*.f64 (+.f64 (*.f64 1/20160 (pow.f64 x 8)) (*.f64 x x)) 1) (*.f64 1/12 (pow.f64 x 4)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x x (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))))) 1)
(-.f64 (exp.f64 (log1p.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))) (-.f64 1 (*.f64 x x)))
(-.f64 (/.f64 (pow.f64 x 8) (/.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 (pow.f64 x 8) -1/20160)) 1/144)) (-.f64 (/.f64 (pow.f64 x 16) (/.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 (pow.f64 x 8) -1/20160)) 1/406425600)) (*.f64 x x)))
(-.f64 (+.f64 (*.f64 x x) (exp.f64 (log1p.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))))) 1)
(-.f64 (+.f64 (*.f64 x x) (/.f64 (pow.f64 x 8) (/.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 (pow.f64 x 8) -1/20160)) 1/144))) (/.f64 (pow.f64 x 16) (/.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 (pow.f64 x 8) -1/20160)) 1/406425600)))
(-.f64 (+.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 x x)) (exp.f64 (log1p.f64 (*.f64 1/20160 (pow.f64 x 8))))) 1)
(-.f64 (+.f64 (+.f64 (*.f64 1/20160 (pow.f64 x 8)) (*.f64 x x)) (exp.f64 (log1p.f64 (*.f64 1/12 (pow.f64 x 4))))) 1)
(*.f64 (fma.f64 x x (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))) 1)
(*.f64 1 (fma.f64 x x (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))))
(*.f64 (hypot.f64 x (sqrt.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))) (hypot.f64 x (sqrt.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))))
(*.f64 (cbrt.f64 (fma.f64 x x (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))) (pow.f64 (cbrt.f64 (fma.f64 x x (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x x (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))) 2) (cbrt.f64 (fma.f64 x x (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))))) (cbrt.f64 (fma.f64 x x (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))))) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))))) (cbrt.f64 (fma.f64 x x (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))))))
(*.f64 (*.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))))) (cbrt.f64 (fma.f64 x x (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))))) (*.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))))) (cbrt.f64 (fma.f64 x x (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))) 2))) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))) 2))))
(*.f64 (*.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))) 2))) (*.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))) 2))))
(*.f64 (*.f64 (cbrt.f64 (fma.f64 x x (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))) (sqrt.f64 (cbrt.f64 (fma.f64 x x (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))))) (*.f64 (cbrt.f64 (fma.f64 x x (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))) (sqrt.f64 (cbrt.f64 (fma.f64 x x (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))) 2)) (cbrt.f64 (hypot.f64 x (sqrt.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))) 2)) (cbrt.f64 (hypot.f64 x (sqrt.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))))))
(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))) 2)) (-.f64 (*.f64 x x) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))))
(/.f64 (+.f64 (pow.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))) 3) (pow.f64 (*.f64 x x) 3)) (+.f64 (pow.f64 x 4) (*.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))) (-.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))) (*.f64 x x)))))
(/.f64 (*.f64 1 (+.f64 (pow.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))) 3) (pow.f64 (*.f64 x x) 3))) (+.f64 (pow.f64 x 4) (*.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))) (-.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))) (*.f64 x x)))))
(/.f64 (*.f64 (-.f64 (pow.f64 x 4) (pow.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))) 2)) 1) (-.f64 (*.f64 x x) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))) 3) (pow.f64 (*.f64 x x) 3)) 1) (+.f64 (pow.f64 x 4) (*.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))) (-.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))) (*.f64 x x)))))
(pow.f64 (fma.f64 x x (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))) 1)
(pow.f64 (hypot.f64 x (sqrt.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))) 2)
(pow.f64 (cbrt.f64 (fma.f64 x x (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))) 3)
(pow.f64 (pow.f64 (fma.f64 x x (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 x x (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))) 2))
(log.f64 (exp.f64 (fma.f64 x x (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x x (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))))))
(cbrt.f64 (pow.f64 (fma.f64 x x (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))) 3))
(expm1.f64 (log1p.f64 (fma.f64 x x (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))))
(exp.f64 (log.f64 (fma.f64 x x (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x x (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))) 1))
(log1p.f64 (expm1.f64 (fma.f64 x x (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))))
Outputs
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))
(fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/20160 (pow.f64 x 8))))
(+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))
(fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/20160 (pow.f64 x 8))))
(*.f64 1/20160 (pow.f64 x 8))
(+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 1/20160 (pow.f64 x 8)))
(+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))
(fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/20160 (pow.f64 x 8))))
(+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))
(fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/20160 (pow.f64 x 8))))
(*.f64 1/20160 (pow.f64 x 8))
(+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 1/20160 (pow.f64 x 8)))
(+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))
(fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/20160 (pow.f64 x 8))))
(+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))
(fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/20160 (pow.f64 x 8))))
(+.f64 (*.f64 1/12 (pow.f64 x 4)) (+.f64 (*.f64 1/20160 (pow.f64 x 8)) (*.f64 x x)))
(fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/20160 (pow.f64 x 8))))
(+.f64 (*.f64 1/20160 (pow.f64 x 8)) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 x x)))
(fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/20160 (pow.f64 x 8))))
(+.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))) (*.f64 x x))
(fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/20160 (pow.f64 x 8))))
(+.f64 (*.f64 x x) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))
(fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/20160 (pow.f64 x 8))))
(+.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 x x)) (*.f64 1/20160 (pow.f64 x 8)))
(fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/20160 (pow.f64 x 8))))
(+.f64 (+.f64 (*.f64 1/20160 (pow.f64 x 8)) (*.f64 x x)) (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/20160 (pow.f64 x 8))))
(+.f64 (*.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 x x)) 1) (*.f64 1/20160 (pow.f64 x 8)))
(fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/20160 (pow.f64 x 8))))
(+.f64 (*.f64 (+.f64 (*.f64 1/20160 (pow.f64 x 8)) (*.f64 x x)) 1) (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/20160 (pow.f64 x 8))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x x (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))))) 1)
(fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/20160 (pow.f64 x 8))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))) (-.f64 1 (*.f64 x x)))
(fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/20160 (pow.f64 x 8))))
(-.f64 (/.f64 (pow.f64 x 8) (/.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 (pow.f64 x 8) -1/20160)) 1/144)) (-.f64 (/.f64 (pow.f64 x 16) (/.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 (pow.f64 x 8) -1/20160)) 1/406425600)) (*.f64 x x)))
(+.f64 (-.f64 (*.f64 (/.f64 (pow.f64 x 8) (fma.f64 1/12 (pow.f64 x 4) (*.f64 (pow.f64 x 8) -1/20160))) 1/144) (/.f64 (pow.f64 x 16) (/.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 (pow.f64 x 8) -1/20160)) 1/406425600))) (*.f64 x x))
(fma.f64 x x (fma.f64 (/.f64 (pow.f64 x 8) (fma.f64 1/12 (pow.f64 x 4) (*.f64 (pow.f64 x 8) -1/20160))) 1/144 (*.f64 (/.f64 (pow.f64 x 16) (fma.f64 1/12 (pow.f64 x 4) (*.f64 (pow.f64 x 8) -1/20160))) -1/406425600)))
(fma.f64 x x (fma.f64 1/144 (/.f64 (pow.f64 x 8) (fma.f64 1/12 (pow.f64 x 4) (*.f64 (pow.f64 x 8) -1/20160))) (*.f64 (/.f64 (pow.f64 x 16) (fma.f64 1/12 (pow.f64 x 4) (*.f64 (pow.f64 x 8) -1/20160))) -1/406425600)))
(-.f64 (+.f64 (*.f64 x x) (exp.f64 (log1p.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))))) 1)
(fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/20160 (pow.f64 x 8))))
(-.f64 (+.f64 (*.f64 x x) (/.f64 (pow.f64 x 8) (/.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 (pow.f64 x 8) -1/20160)) 1/144))) (/.f64 (pow.f64 x 16) (/.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 (pow.f64 x 8) -1/20160)) 1/406425600)))
(+.f64 (-.f64 (*.f64 (/.f64 (pow.f64 x 8) (fma.f64 1/12 (pow.f64 x 4) (*.f64 (pow.f64 x 8) -1/20160))) 1/144) (/.f64 (pow.f64 x 16) (/.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 (pow.f64 x 8) -1/20160)) 1/406425600))) (*.f64 x x))
(fma.f64 x x (fma.f64 (/.f64 (pow.f64 x 8) (fma.f64 1/12 (pow.f64 x 4) (*.f64 (pow.f64 x 8) -1/20160))) 1/144 (*.f64 (/.f64 (pow.f64 x 16) (fma.f64 1/12 (pow.f64 x 4) (*.f64 (pow.f64 x 8) -1/20160))) -1/406425600)))
(fma.f64 x x (fma.f64 1/144 (/.f64 (pow.f64 x 8) (fma.f64 1/12 (pow.f64 x 4) (*.f64 (pow.f64 x 8) -1/20160))) (*.f64 (/.f64 (pow.f64 x 16) (fma.f64 1/12 (pow.f64 x 4) (*.f64 (pow.f64 x 8) -1/20160))) -1/406425600)))
(-.f64 (+.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 x x)) (exp.f64 (log1p.f64 (*.f64 1/20160 (pow.f64 x 8))))) 1)
(fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/20160 (pow.f64 x 8))))
(-.f64 (+.f64 (+.f64 (*.f64 1/20160 (pow.f64 x 8)) (*.f64 x x)) (exp.f64 (log1p.f64 (*.f64 1/12 (pow.f64 x 4))))) 1)
(fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/20160 (pow.f64 x 8))))
(*.f64 (fma.f64 x x (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))) 1)
(fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/20160 (pow.f64 x 8))))
(*.f64 1 (fma.f64 x x (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))))
(fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/20160 (pow.f64 x 8))))
(*.f64 (hypot.f64 x (sqrt.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))) (hypot.f64 x (sqrt.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))))
(fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/20160 (pow.f64 x 8))))
(*.f64 (cbrt.f64 (fma.f64 x x (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))) (pow.f64 (cbrt.f64 (fma.f64 x x (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))) 2))
(fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/20160 (pow.f64 x 8))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x x (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))) 2) (cbrt.f64 (fma.f64 x x (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))))
(fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/20160 (pow.f64 x 8))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))))) (cbrt.f64 (fma.f64 x x (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))))) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))))) (cbrt.f64 (fma.f64 x x (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))))))
(fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/20160 (pow.f64 x 8))))
(*.f64 (*.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))))) (cbrt.f64 (fma.f64 x x (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))))) (*.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))))) (cbrt.f64 (fma.f64 x x (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))))))
(*.f64 (*.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/20160 (pow.f64 x 8)))))) (cbrt.f64 (hypot.f64 x (sqrt.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/20160 (pow.f64 x 8))))))) (pow.f64 (cbrt.f64 (fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/20160 (pow.f64 x 8))))) 2))
(*.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/20160 (pow.f64 x 8)))))) (*.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/20160 (pow.f64 x 8)))))) (pow.f64 (cbrt.f64 (fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/20160 (pow.f64 x 8))))) 2)))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))) 2))) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))) 2))))
(fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/20160 (pow.f64 x 8))))
(*.f64 (*.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))) 2))) (*.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))) 2))))
(*.f64 (*.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/20160 (pow.f64 x 8)))))) (cbrt.f64 (hypot.f64 x (sqrt.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/20160 (pow.f64 x 8))))))) (pow.f64 (cbrt.f64 (fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/20160 (pow.f64 x 8))))) 2))
(*.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/20160 (pow.f64 x 8)))))) (*.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/20160 (pow.f64 x 8)))))) (pow.f64 (cbrt.f64 (fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/20160 (pow.f64 x 8))))) 2)))
(*.f64 (*.f64 (cbrt.f64 (fma.f64 x x (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))) (sqrt.f64 (cbrt.f64 (fma.f64 x x (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))))) (*.f64 (cbrt.f64 (fma.f64 x x (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))) (sqrt.f64 (cbrt.f64 (fma.f64 x x (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))))))
(fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/20160 (pow.f64 x 8))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))) 2)) (cbrt.f64 (hypot.f64 x (sqrt.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))) 2)) (cbrt.f64 (hypot.f64 x (sqrt.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))))))
(*.f64 (*.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/20160 (pow.f64 x 8)))))) (cbrt.f64 (hypot.f64 x (sqrt.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/20160 (pow.f64 x 8))))))) (pow.f64 (cbrt.f64 (fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/20160 (pow.f64 x 8))))) 2))
(*.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/20160 (pow.f64 x 8)))))) (*.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/20160 (pow.f64 x 8)))))) (pow.f64 (cbrt.f64 (fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/20160 (pow.f64 x 8))))) 2)))
(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))) 2)) (-.f64 (*.f64 x x) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))))
(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/20160 (pow.f64 x 8))) 2)) (-.f64 (*.f64 x x) (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/20160 (pow.f64 x 8)))))
(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/20160 (pow.f64 x 8))) 2)) (+.f64 (fma.f64 x x (*.f64 (pow.f64 x 4) -1/12)) (*.f64 (pow.f64 x 8) -1/20160)))
(/.f64 (+.f64 (pow.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))) 3) (pow.f64 (*.f64 x x) 3)) (+.f64 (pow.f64 x 4) (*.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))) (-.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))) (*.f64 x x)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/20160 (pow.f64 x 8))) 3) (pow.f64 (*.f64 x x) 3)) (+.f64 (pow.f64 x 4) (*.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/20160 (pow.f64 x 8))) (-.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/20160 (pow.f64 x 8))) (*.f64 x x)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/20160 (pow.f64 x 8))) 3) (pow.f64 x 6)) (fma.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/20160 (pow.f64 x 8))) (-.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/20160 (pow.f64 x 8))) (*.f64 x x)) (pow.f64 x 4)))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/20160 (pow.f64 x 8))) 3) (pow.f64 x 6)) (fma.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/20160 (pow.f64 x 8))) (-.f64 (*.f64 1/20160 (pow.f64 x 8)) (fma.f64 x x (*.f64 (pow.f64 x 4) -1/12))) (pow.f64 x 4)))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/20160 (pow.f64 x 8))) 3) (pow.f64 x 6)) (fma.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/20160 (pow.f64 x 8))) (fma.f64 1/12 (pow.f64 x 4) (fma.f64 1/20160 (pow.f64 x 8) (*.f64 x (neg.f64 x)))) (pow.f64 x 4)))
(/.f64 (*.f64 1 (+.f64 (pow.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))) 3) (pow.f64 (*.f64 x x) 3))) (+.f64 (pow.f64 x 4) (*.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))) (-.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))) (*.f64 x x)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/20160 (pow.f64 x 8))) 3) (pow.f64 (*.f64 x x) 3)) (+.f64 (pow.f64 x 4) (*.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/20160 (pow.f64 x 8))) (-.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/20160 (pow.f64 x 8))) (*.f64 x x)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/20160 (pow.f64 x 8))) 3) (pow.f64 x 6)) (fma.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/20160 (pow.f64 x 8))) (-.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/20160 (pow.f64 x 8))) (*.f64 x x)) (pow.f64 x 4)))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/20160 (pow.f64 x 8))) 3) (pow.f64 x 6)) (fma.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/20160 (pow.f64 x 8))) (-.f64 (*.f64 1/20160 (pow.f64 x 8)) (fma.f64 x x (*.f64 (pow.f64 x 4) -1/12))) (pow.f64 x 4)))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/20160 (pow.f64 x 8))) 3) (pow.f64 x 6)) (fma.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/20160 (pow.f64 x 8))) (fma.f64 1/12 (pow.f64 x 4) (fma.f64 1/20160 (pow.f64 x 8) (*.f64 x (neg.f64 x)))) (pow.f64 x 4)))
(/.f64 (*.f64 (-.f64 (pow.f64 x 4) (pow.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))) 2)) 1) (-.f64 (*.f64 x x) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))))
(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/20160 (pow.f64 x 8))) 2)) (-.f64 (*.f64 x x) (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/20160 (pow.f64 x 8)))))
(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/20160 (pow.f64 x 8))) 2)) (+.f64 (fma.f64 x x (*.f64 (pow.f64 x 4) -1/12)) (*.f64 (pow.f64 x 8) -1/20160)))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))) 3) (pow.f64 (*.f64 x x) 3)) 1) (+.f64 (pow.f64 x 4) (*.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))) (-.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))) (*.f64 x x)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/20160 (pow.f64 x 8))) 3) (pow.f64 (*.f64 x x) 3)) (+.f64 (pow.f64 x 4) (*.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/20160 (pow.f64 x 8))) (-.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/20160 (pow.f64 x 8))) (*.f64 x x)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/20160 (pow.f64 x 8))) 3) (pow.f64 x 6)) (fma.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/20160 (pow.f64 x 8))) (-.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/20160 (pow.f64 x 8))) (*.f64 x x)) (pow.f64 x 4)))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/20160 (pow.f64 x 8))) 3) (pow.f64 x 6)) (fma.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/20160 (pow.f64 x 8))) (-.f64 (*.f64 1/20160 (pow.f64 x 8)) (fma.f64 x x (*.f64 (pow.f64 x 4) -1/12))) (pow.f64 x 4)))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/20160 (pow.f64 x 8))) 3) (pow.f64 x 6)) (fma.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/20160 (pow.f64 x 8))) (fma.f64 1/12 (pow.f64 x 4) (fma.f64 1/20160 (pow.f64 x 8) (*.f64 x (neg.f64 x)))) (pow.f64 x 4)))
(pow.f64 (fma.f64 x x (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))) 1)
(fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/20160 (pow.f64 x 8))))
(pow.f64 (hypot.f64 x (sqrt.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))) 2)
(fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/20160 (pow.f64 x 8))))
(pow.f64 (cbrt.f64 (fma.f64 x x (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))) 3)
(fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/20160 (pow.f64 x 8))))
(pow.f64 (pow.f64 (fma.f64 x x (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))) 3) 1/3)
(fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/20160 (pow.f64 x 8))))
(sqrt.f64 (pow.f64 (fma.f64 x x (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))) 2))
(fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/20160 (pow.f64 x 8))))
(log.f64 (exp.f64 (fma.f64 x x (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))))
(fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/20160 (pow.f64 x 8))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x x (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))))))
(fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/20160 (pow.f64 x 8))))
(cbrt.f64 (pow.f64 (fma.f64 x x (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))) 3))
(fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/20160 (pow.f64 x 8))))
(expm1.f64 (log1p.f64 (fma.f64 x x (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))))
(fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/20160 (pow.f64 x 8))))
(exp.f64 (log.f64 (fma.f64 x x (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))))
(fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/20160 (pow.f64 x 8))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x x (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))) 1))
(fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/20160 (pow.f64 x 8))))
(log1p.f64 (expm1.f64 (fma.f64 x x (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))))
(fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/20160 (pow.f64 x 8))))

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(*.f64 1/360 (pow.f64 x 6))
Compiler

Compiled 12 to 9 computations (25% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓4.5b
(-.f64 (exp.f64 (neg.f64 x)) 1)
Compiler

Compiled 13 to 6 computations (53.8% saved)

series1.0ms (0%)

Counts
1 → 8
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@0
(-.f64 (exp.f64 (neg.f64 x)) 1)
0.0ms
x
@-inf
(-.f64 (exp.f64 (neg.f64 x)) 1)
0.0ms
x
@inf
(-.f64 (exp.f64 (neg.f64 x)) 1)

rewrite88.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
1332×add-sqr-sqrt
1316×*-un-lft-identity
1228×add-cube-cbrt
1216×add-cbrt-cube
1204×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
089
11625
219505
Stop Event
1×node limit
Counts
1 → 31
Calls
Call 1
Inputs
(-.f64 (exp.f64 (neg.f64 x)) 1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (neg.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (exp.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (exp.f64 (neg.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (exp.f64 (neg.f64 x)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (exp.f64 (neg.f64 x)) 1)) (sqrt.f64 (-.f64 (exp.f64 (neg.f64 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (exp.f64 (neg.f64 x)) 1)) (pow.f64 (cbrt.f64 (-.f64 (exp.f64 (neg.f64 x)) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (exp.f64 (neg.f64 x)) 1)) 2) (cbrt.f64 (-.f64 (exp.f64 (neg.f64 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (/.f64 1 (+.f64 (exp.f64 (neg.f64 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) 3) -1) (/.f64 1 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (neg.f64 x)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (exp.f64 (neg.f64 x))) 1) (-.f64 (sqrt.f64 (exp.f64 (neg.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (exp.f64 (neg.f64 x)) 1) (+.f64 (exp.f64 (+.f64 x x)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (neg.f64 x)) 1)) (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 (neg.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (-.f64 (exp.f64 (neg.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) 3) -1) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (neg.f64 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) 3) -1) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 1 (*.f64 (exp.f64 (neg.f64 x)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) -1)) (neg.f64 (+.f64 (exp.f64 (neg.f64 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) 3) -1)) (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (neg.f64 x)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (exp.f64 (neg.f64 x)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (exp.f64 (neg.f64 x)) 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (exp.f64 (neg.f64 x)) 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (exp.f64 (neg.f64 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 x)))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (exp.f64 (neg.f64 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (exp.f64 (neg.f64 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (exp.f64 (neg.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (exp.f64 (neg.f64 x))) (sqrt.f64 (exp.f64 (neg.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (exp.f64 (+.f64 x x))) (cbrt.f64 (exp.f64 (neg.f64 x))) -1)))))

simplify55.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
1254×associate-/l*
958×associate-*r*
780×associate-*l*
718×associate-+r+
588×associate-+l+
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
094881
1218821
2789819
33957797
Stop Event
1×node limit
Counts
39 → 58
Calls
Call 1
Inputs
(*.f64 -1 x)
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/24 (pow.f64 x 4)) (*.f64 -1 x))))
(-.f64 (exp.f64 (*.f64 -1 x)) 1)
(-.f64 (exp.f64 (*.f64 -1 x)) 1)
(-.f64 (exp.f64 (*.f64 -1 x)) 1)
(-.f64 (exp.f64 (*.f64 -1 x)) 1)
(+.f64 (exp.f64 (neg.f64 x)) -1)
(+.f64 -1 (exp.f64 (neg.f64 x)))
(*.f64 1 (-.f64 (exp.f64 (neg.f64 x)) 1))
(*.f64 (-.f64 (exp.f64 (neg.f64 x)) 1) 1)
(*.f64 (sqrt.f64 (-.f64 (exp.f64 (neg.f64 x)) 1)) (sqrt.f64 (-.f64 (exp.f64 (neg.f64 x)) 1)))
(*.f64 (cbrt.f64 (-.f64 (exp.f64 (neg.f64 x)) 1)) (pow.f64 (cbrt.f64 (-.f64 (exp.f64 (neg.f64 x)) 1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (exp.f64 (neg.f64 x)) 1)) 2) (cbrt.f64 (-.f64 (exp.f64 (neg.f64 x)) 1)))
(*.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (/.f64 1 (+.f64 (exp.f64 (neg.f64 x)) 1)))
(*.f64 (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) 3) -1) (/.f64 1 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (neg.f64 x)) 1))))
(*.f64 (+.f64 (sqrt.f64 (exp.f64 (neg.f64 x))) 1) (-.f64 (sqrt.f64 (exp.f64 (neg.f64 x))) 1))
(/.f64 1 (/.f64 (+.f64 (exp.f64 (neg.f64 x)) 1) (+.f64 (exp.f64 (+.f64 x x)) -1)))
(/.f64 1 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (neg.f64 x)) 1)) (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) 3) -1)))
(/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 (neg.f64 x)) 1))
(/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (-.f64 (exp.f64 (neg.f64 x)) -1))
(/.f64 (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) 3) -1) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (neg.f64 x)) 1)))
(/.f64 (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) 3) -1) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 1 (*.f64 (exp.f64 (neg.f64 x)) -1))))
(/.f64 (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) -1)) (neg.f64 (+.f64 (exp.f64 (neg.f64 x)) 1)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) 3) -1)) (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (neg.f64 x)) 1))))
(pow.f64 (-.f64 (exp.f64 (neg.f64 x)) 1) 1)
(pow.f64 (sqrt.f64 (-.f64 (exp.f64 (neg.f64 x)) 1)) 2)
(pow.f64 (cbrt.f64 (-.f64 (exp.f64 (neg.f64 x)) 1)) 3)
(pow.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) 1) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) 1) 2))
(log.f64 (exp.f64 (-.f64 (exp.f64 (neg.f64 x)) 1)))
(cbrt.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) 1) 3))
(expm1.f64 x)
(exp.f64 (log.f64 (-.f64 (exp.f64 (neg.f64 x)) 1)))
(log1p.f64 (expm1.f64 (-.f64 (exp.f64 (neg.f64 x)) 1)))
(fma.f64 1 (exp.f64 (neg.f64 x)) -1)
(fma.f64 (sqrt.f64 (exp.f64 (neg.f64 x))) (sqrt.f64 (exp.f64 (neg.f64 x))) -1)
(fma.f64 (cbrt.f64 (exp.f64 (+.f64 x x))) (cbrt.f64 (exp.f64 (neg.f64 x))) -1)
Outputs
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))
(fma.f64 1/2 (*.f64 x x) (neg.f64 x))
(-.f64 (*.f64 1/2 (*.f64 x x)) x)
(*.f64 x (+.f64 -1 (*.f64 x 1/2)))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(fma.f64 -1/6 (pow.f64 x 3) (-.f64 (*.f64 1/2 (*.f64 x x)) x))
(-.f64 (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/6))) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/24 (pow.f64 x 4)) (*.f64 -1 x))))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 4) (neg.f64 x))))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) (-.f64 (*.f64 1/24 (pow.f64 x 4)) x)))
(fma.f64 x (*.f64 x 1/2) (fma.f64 -1/6 (pow.f64 x 3) (-.f64 (*.f64 1/24 (pow.f64 x 4)) x)))
(fma.f64 x (*.f64 x 1/2) (-.f64 (*.f64 (pow.f64 x 3) (+.f64 -1/6 (*.f64 x 1/24))) x))
(-.f64 (exp.f64 (*.f64 -1 x)) 1)
(expm1.f64 (neg.f64 x))
(-.f64 (exp.f64 (*.f64 -1 x)) 1)
(expm1.f64 (neg.f64 x))
(-.f64 (exp.f64 (*.f64 -1 x)) 1)
(expm1.f64 (neg.f64 x))
(-.f64 (exp.f64 (*.f64 -1 x)) 1)
(expm1.f64 (neg.f64 x))
(+.f64 (exp.f64 (neg.f64 x)) -1)
(expm1.f64 (neg.f64 x))
(+.f64 -1 (exp.f64 (neg.f64 x)))
(expm1.f64 (neg.f64 x))
(*.f64 1 (-.f64 (exp.f64 (neg.f64 x)) 1))
(expm1.f64 (neg.f64 x))
(*.f64 (-.f64 (exp.f64 (neg.f64 x)) 1) 1)
(expm1.f64 (neg.f64 x))
(*.f64 (sqrt.f64 (-.f64 (exp.f64 (neg.f64 x)) 1)) (sqrt.f64 (-.f64 (exp.f64 (neg.f64 x)) 1)))
(expm1.f64 (neg.f64 x))
(*.f64 (cbrt.f64 (-.f64 (exp.f64 (neg.f64 x)) 1)) (pow.f64 (cbrt.f64 (-.f64 (exp.f64 (neg.f64 x)) 1)) 2))
(expm1.f64 (neg.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (exp.f64 (neg.f64 x)) 1)) 2) (cbrt.f64 (-.f64 (exp.f64 (neg.f64 x)) 1)))
(expm1.f64 (neg.f64 x))
(*.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (/.f64 1 (+.f64 (exp.f64 (neg.f64 x)) 1)))
(*.f64 (+.f64 -1 (exp.f64 (+.f64 x x))) (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 x)))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 2) x)) (+.f64 1 (exp.f64 (neg.f64 x))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 2)) (+.f64 1 (exp.f64 (neg.f64 x))))
(/.f64 (fma.f64 (exp.f64 x) (exp.f64 x) -1) (+.f64 1 (exp.f64 (neg.f64 x))))
(*.f64 (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) 3) -1) (/.f64 1 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (neg.f64 x)) 1))))
(*.f64 (+.f64 -1 (pow.f64 (exp.f64 (neg.f64 x)) 3)) (/.f64 1 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 1 (exp.f64 (neg.f64 x))))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (neg.f64 x)) 3)) (+.f64 1 (+.f64 (exp.f64 (neg.f64 x)) (pow.f64 (exp.f64 2) x))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (neg.f64 x)) 3)) (+.f64 1 (+.f64 (exp.f64 (neg.f64 x)) (pow.f64 (exp.f64 x) 2))))
(/.f64 (+.f64 -1 (exp.f64 (*.f64 x -3))) (+.f64 1 (fma.f64 (exp.f64 x) (exp.f64 x) (exp.f64 (neg.f64 x)))))
(*.f64 (+.f64 (sqrt.f64 (exp.f64 (neg.f64 x))) 1) (-.f64 (sqrt.f64 (exp.f64 (neg.f64 x))) 1))
(expm1.f64 (neg.f64 x))
(/.f64 1 (/.f64 (+.f64 (exp.f64 (neg.f64 x)) 1) (+.f64 (exp.f64 (+.f64 x x)) -1)))
(*.f64 (+.f64 -1 (exp.f64 (+.f64 x x))) (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 x)))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 2) x)) (+.f64 1 (exp.f64 (neg.f64 x))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 2)) (+.f64 1 (exp.f64 (neg.f64 x))))
(/.f64 (fma.f64 (exp.f64 x) (exp.f64 x) -1) (+.f64 1 (exp.f64 (neg.f64 x))))
(/.f64 1 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (neg.f64 x)) 1)) (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) 3) -1)))
(*.f64 (+.f64 -1 (pow.f64 (exp.f64 (neg.f64 x)) 3)) (/.f64 1 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 1 (exp.f64 (neg.f64 x))))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (neg.f64 x)) 3)) (+.f64 1 (+.f64 (exp.f64 (neg.f64 x)) (pow.f64 (exp.f64 2) x))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (neg.f64 x)) 3)) (+.f64 1 (+.f64 (exp.f64 (neg.f64 x)) (pow.f64 (exp.f64 x) 2))))
(/.f64 (+.f64 -1 (exp.f64 (*.f64 x -3))) (+.f64 1 (fma.f64 (exp.f64 x) (exp.f64 x) (exp.f64 (neg.f64 x)))))
(/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 (neg.f64 x)) 1))
(*.f64 (+.f64 -1 (exp.f64 (+.f64 x x))) (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 x)))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 2) x)) (+.f64 1 (exp.f64 (neg.f64 x))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 2)) (+.f64 1 (exp.f64 (neg.f64 x))))
(/.f64 (fma.f64 (exp.f64 x) (exp.f64 x) -1) (+.f64 1 (exp.f64 (neg.f64 x))))
(/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (-.f64 (exp.f64 (neg.f64 x)) -1))
(*.f64 (+.f64 -1 (exp.f64 (+.f64 x x))) (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 x)))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 2) x)) (+.f64 1 (exp.f64 (neg.f64 x))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 2)) (+.f64 1 (exp.f64 (neg.f64 x))))
(/.f64 (fma.f64 (exp.f64 x) (exp.f64 x) -1) (+.f64 1 (exp.f64 (neg.f64 x))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) 3) -1) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (neg.f64 x)) 1)))
(*.f64 (+.f64 -1 (pow.f64 (exp.f64 (neg.f64 x)) 3)) (/.f64 1 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 1 (exp.f64 (neg.f64 x))))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (neg.f64 x)) 3)) (+.f64 1 (+.f64 (exp.f64 (neg.f64 x)) (pow.f64 (exp.f64 2) x))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (neg.f64 x)) 3)) (+.f64 1 (+.f64 (exp.f64 (neg.f64 x)) (pow.f64 (exp.f64 x) 2))))
(/.f64 (+.f64 -1 (exp.f64 (*.f64 x -3))) (+.f64 1 (fma.f64 (exp.f64 x) (exp.f64 x) (exp.f64 (neg.f64 x)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) 3) -1) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 1 (*.f64 (exp.f64 (neg.f64 x)) -1))))
(*.f64 (+.f64 -1 (pow.f64 (exp.f64 (neg.f64 x)) 3)) (/.f64 1 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 1 (exp.f64 (neg.f64 x))))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (neg.f64 x)) 3)) (+.f64 1 (+.f64 (exp.f64 (neg.f64 x)) (pow.f64 (exp.f64 2) x))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (neg.f64 x)) 3)) (+.f64 1 (+.f64 (exp.f64 (neg.f64 x)) (pow.f64 (exp.f64 x) 2))))
(/.f64 (+.f64 -1 (exp.f64 (*.f64 x -3))) (+.f64 1 (fma.f64 (exp.f64 x) (exp.f64 x) (exp.f64 (neg.f64 x)))))
(/.f64 (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) -1)) (neg.f64 (+.f64 (exp.f64 (neg.f64 x)) 1)))
(*.f64 (+.f64 -1 (exp.f64 (+.f64 x x))) (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 x)))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 2) x)) (+.f64 1 (exp.f64 (neg.f64 x))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 2)) (+.f64 1 (exp.f64 (neg.f64 x))))
(/.f64 (fma.f64 (exp.f64 x) (exp.f64 x) -1) (+.f64 1 (exp.f64 (neg.f64 x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) 3) -1)) (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (neg.f64 x)) 1))))
(*.f64 (+.f64 -1 (pow.f64 (exp.f64 (neg.f64 x)) 3)) (/.f64 1 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 1 (exp.f64 (neg.f64 x))))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (neg.f64 x)) 3)) (+.f64 1 (+.f64 (exp.f64 (neg.f64 x)) (pow.f64 (exp.f64 2) x))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (neg.f64 x)) 3)) (+.f64 1 (+.f64 (exp.f64 (neg.f64 x)) (pow.f64 (exp.f64 x) 2))))
(/.f64 (+.f64 -1 (exp.f64 (*.f64 x -3))) (+.f64 1 (fma.f64 (exp.f64 x) (exp.f64 x) (exp.f64 (neg.f64 x)))))
(pow.f64 (-.f64 (exp.f64 (neg.f64 x)) 1) 1)
(expm1.f64 (neg.f64 x))
(pow.f64 (sqrt.f64 (-.f64 (exp.f64 (neg.f64 x)) 1)) 2)
(expm1.f64 (neg.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (exp.f64 (neg.f64 x)) 1)) 3)
(expm1.f64 (neg.f64 x))
(pow.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) 1) 3) 1/3)
(expm1.f64 (neg.f64 x))
(sqrt.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) 1) 2))
(expm1.f64 (neg.f64 x))
(log.f64 (exp.f64 (-.f64 (exp.f64 (neg.f64 x)) 1)))
(expm1.f64 (neg.f64 x))
(cbrt.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) 1) 3))
(expm1.f64 (neg.f64 x))
(expm1.f64 x)
(exp.f64 (log.f64 (-.f64 (exp.f64 (neg.f64 x)) 1)))
(expm1.f64 (neg.f64 x))
(log1p.f64 (expm1.f64 (-.f64 (exp.f64 (neg.f64 x)) 1)))
(expm1.f64 (neg.f64 x))
(fma.f64 1 (exp.f64 (neg.f64 x)) -1)
(expm1.f64 (neg.f64 x))
(fma.f64 (sqrt.f64 (exp.f64 (neg.f64 x))) (sqrt.f64 (exp.f64 (neg.f64 x))) -1)
(expm1.f64 (neg.f64 x))
(fma.f64 (cbrt.f64 (exp.f64 (+.f64 x x))) (cbrt.f64 (exp.f64 (neg.f64 x))) -1)
(fma.f64 (cbrt.f64 (pow.f64 (exp.f64 2) x)) (cbrt.f64 (exp.f64 (neg.f64 x))) -1)
(fma.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 2)) (cbrt.f64 (exp.f64 (neg.f64 x))) -1)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
✓1.9b
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
Compiler

Compiled 24 to 8 computations (66.7% saved)

series1.0ms (0%)

Counts
2 → 16
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@0
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
0.0ms
x
@inf
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
0.0ms
x
@0
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
0.0ms
x
@-inf
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
0.0ms
x
@inf
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))

rewrite114.0ms (1.1%)

Algorithm
2×egg-rewrite-iter-limit
2×egg-rewrite
1×batch-egg-rewrite
Rules
230×add-sqr-sqrt
230×add-sqr-sqrt
218×add-exp-log
218×pow1
218×*-un-lft-identity
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01050
122150
2358650
01025
122125
2358625
01025
0819
116619
2254619
0819
Stop Event
1×iter limit
1×unsound
1×iter limit
1×unsound
1×unsound
Counts
2 → 24
Calls
Call 1
Inputs
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))) (sqrt.f64 (+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))) (cbrt.f64 (+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2)))) (cbrt.f64 (+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) 4) (+.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 3) 8) (+.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) (+.f64 4 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2)) (+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))) (+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))))))))
((#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) (sqrt.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) (cbrt.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) (cbrt.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) (*.f64 (exp.f64 x) (exp.f64 x))) (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) 3) (pow.f64 (exp.f64 x) 3)) (+.f64 (*.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) (-.f64 (*.f64 (exp.f64 x) (exp.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))))))

simplify84.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
1416×associate-/l*
940×associate-/r*
904×unswap-sqr
876×fma-def
804×+-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0981130
12691054
211201034
339021034
Stop Event
1×node limit
Counts
40 → 67
Calls
Call 1
Inputs
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))))
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2)
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2)
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2)
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2)
2
(+.f64 2 (pow.f64 x 2))
(+.f64 2 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))))
(+.f64 2 (+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))))
(+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))
(+.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) -2)
(*.f64 1 (+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2)))
(*.f64 (sqrt.f64 (+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))) (sqrt.f64 (+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))))
(*.f64 (*.f64 (cbrt.f64 (+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))) (cbrt.f64 (+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2)))) (cbrt.f64 (+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))))
(/.f64 (-.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) 4) (+.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2))
(/.f64 (-.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 3) 8) (+.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) (+.f64 4 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2))))
(pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2)) 1)
(log.f64 (exp.f64 (+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))))
(cbrt.f64 (*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2)) (+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))) (+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))))
(expm1.f64 (log1p.f64 (+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))))
(exp.f64 (log.f64 (+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))))
(log1p.f64 (expm1.f64 (+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))))
(*.f64 1 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(*.f64 (sqrt.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) (sqrt.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(*.f64 (*.f64 (cbrt.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) (cbrt.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) (cbrt.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(/.f64 (-.f64 (*.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) (*.f64 (exp.f64 x) (exp.f64 x))) (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/.f64 (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) 3) (pow.f64 (exp.f64 x) 3)) (+.f64 (*.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) (-.f64 (*.f64 (exp.f64 x) (exp.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))))
(pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 1)
(log.f64 (exp.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(cbrt.f64 (*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(expm1.f64 (log1p.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(exp.f64 (log.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(log1p.f64 (expm1.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
Outputs
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))))
(fma.f64 1/360 (pow.f64 x 6) (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4))))
(fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))))
(fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/360 (pow.f64 x 6))))
(fma.f64 1/12 (pow.f64 x 4) (fma.f64 x x (*.f64 1/360 (pow.f64 x 6))))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))))
(fma.f64 1/360 (pow.f64 x 6) (+.f64 (*.f64 x x) (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/20160 (pow.f64 x 8)))))
(fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/20160 (pow.f64 x 8)))))
(fma.f64 x x (fma.f64 1/360 (pow.f64 x 6) (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/20160 (pow.f64 x 8)))))
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2)
(+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2))
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2)
(+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2))
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2)
(+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2))
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2)
(+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2))
2
(+.f64 2 (pow.f64 x 2))
(+.f64 2 (*.f64 x x))
(fma.f64 x x 2)
(+.f64 2 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))))
(+.f64 2 (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4))))
(+.f64 2 (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))))
(fma.f64 1/12 (pow.f64 x 4) (fma.f64 x x 2))
(+.f64 2 (+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))))
(+.f64 2 (fma.f64 1/360 (pow.f64 x 6) (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))))
(+.f64 2 (fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))))
(fma.f64 1/360 (pow.f64 x 6) (fma.f64 1/12 (pow.f64 x 4) (fma.f64 x x 2)))
(+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))
(+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2))
(+.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) -2)
(+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2))
(*.f64 1 (+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2)))
(+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2))
(*.f64 (sqrt.f64 (+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))) (sqrt.f64 (+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))))
(+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2))
(*.f64 (*.f64 (cbrt.f64 (+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))) (cbrt.f64 (+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2)))) (cbrt.f64 (+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))))
(+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2))
(/.f64 (-.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) 4) (+.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2))
(/.f64 (fma.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) -4) (+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2) -4) (+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2) -4) (+.f64 (exp.f64 x) (+.f64 2 (exp.f64 (neg.f64 x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 3) 8) (+.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) (+.f64 4 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 3) -8) (fma.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 4 (*.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))))
(/.f64 (+.f64 (pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 3) -8) (+.f64 (pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2) (fma.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 4)))
(/.f64 (+.f64 (pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 3) -8) (+.f64 4 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (+.f64 2 (exp.f64 (neg.f64 x)))))))
(pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2)) 1)
(+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2))
(log.f64 (exp.f64 (+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))))
(+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2))
(cbrt.f64 (*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2)) (+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))) (+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))))
(+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2))
(expm1.f64 (log1p.f64 (+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))))
(+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2))
(exp.f64 (log.f64 (+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))))
(+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2))
(log1p.f64 (expm1.f64 (+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))))
(+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2))
(*.f64 1 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 (sqrt.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) (sqrt.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 (*.f64 (cbrt.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) (cbrt.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) (cbrt.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(/.f64 (-.f64 (*.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) (*.f64 (exp.f64 x) (exp.f64 x))) (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(/.f64 (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) 3) (pow.f64 (exp.f64 x) 3)) (+.f64 (*.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) (-.f64 (*.f64 (exp.f64 x) (exp.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) 3) (pow.f64 (exp.f64 x) 3)) (+.f64 (exp.f64 (+.f64 (neg.f64 x) (neg.f64 x))) (*.f64 (exp.f64 x) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) 3) (pow.f64 (exp.f64 x) 3)) (+.f64 (exp.f64 (*.f64 x -2)) (+.f64 -1 (exp.f64 (+.f64 x x)))))
(/.f64 (+.f64 (exp.f64 (*.f64 x -3)) (exp.f64 (*.f64 3 x))) (+.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (+.f64 x x))))
(/.f64 (+.f64 (exp.f64 (*.f64 x -3)) (pow.f64 (exp.f64 x) 3)) (+.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (+.f64 x x))))
(pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 1)
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(log.f64 (exp.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(cbrt.f64 (*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(expm1.f64 (log1p.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(exp.f64 (log.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(log1p.f64 (expm1.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 4 (exp.f64 (+.f64 x x)))
✓0.0b
(+.f64 2 (exp.f64 x))
✓0.0b
(/.f64 (-.f64 4 (exp.f64 (+.f64 x x))) (+.f64 2 (exp.f64 x)))
✓2.8b
(-.f64 (exp.f64 (neg.f64 x)) (/.f64 (-.f64 4 (exp.f64 (+.f64 x x))) (+.f64 2 (exp.f64 x))))
Compiler

Compiled 54 to 23 computations (57.4% saved)

series5.0ms (0.1%)

Counts
4 → 40
Calls

12 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(-.f64 (exp.f64 (neg.f64 x)) (/.f64 (-.f64 4 (exp.f64 (+.f64 x x))) (+.f64 2 (exp.f64 x))))
1.0ms
x
@-inf
(-.f64 (exp.f64 (neg.f64 x)) (/.f64 (-.f64 4 (exp.f64 (+.f64 x x))) (+.f64 2 (exp.f64 x))))
1.0ms
x
@0
(-.f64 (exp.f64 (neg.f64 x)) (/.f64 (-.f64 4 (exp.f64 (+.f64 x x))) (+.f64 2 (exp.f64 x))))
1.0ms
x
@-inf
(/.f64 (-.f64 4 (exp.f64 (+.f64 x x))) (+.f64 2 (exp.f64 x)))
0.0ms
x
@inf
(/.f64 (-.f64 4 (exp.f64 (+.f64 x x))) (+.f64 2 (exp.f64 x)))

rewrite235.0ms (2.3%)

Algorithm
4×egg-rewrite
1×egg-rewrite-iter-limit
1×batch-egg-rewrite
Rules
1730×add-sqr-sqrt
1728×associate-/r*
1712×*-un-lft-identity
1608×add-cube-cbrt
1596×add-cbrt-cube
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
015146
1344146
26109146
01547
134447
2610947
01547
01233
127211
2375811
0711
114611
2176611
0817
117617
2231017
Stop Event
1×node limit
1×node limit
1×node limit
1×iter limit
1×unsound
1×unsound
Counts
4 → 152
Calls
Call 1
Inputs
(-.f64 (exp.f64 (neg.f64 x)) (/.f64 (-.f64 4 (exp.f64 (+.f64 x x))) (+.f64 2 (exp.f64 x))))
(/.f64 (-.f64 4 (exp.f64 (+.f64 x x))) (+.f64 2 (exp.f64 x)))
(+.f64 2 (exp.f64 x))
(-.f64 4 (exp.f64 (+.f64 x x)))
Outputs
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simplify96.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
1818×associate-*r*
1378×associate-*l*
722×associate-/r*
698×associate-/l*
506×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
04478704
113027964
Stop Event
1×node limit
Counts
192 → 266
Calls
Call 1
Inputs
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))))
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (exp.f64 (*.f64 2 x)) (+.f64 2 (exp.f64 x)))) (*.f64 4 (/.f64 1 (+.f64 2 (exp.f64 x)))))
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (exp.f64 (*.f64 2 x)) (+.f64 2 (exp.f64 x)))) (*.f64 4 (/.f64 1 (+.f64 2 (exp.f64 x)))))
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (exp.f64 (*.f64 2 x)) (+.f64 2 (exp.f64 x)))) (*.f64 4 (/.f64 1 (+.f64 2 (exp.f64 x)))))
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (exp.f64 (*.f64 2 x)) (+.f64 2 (exp.f64 x)))) (*.f64 4 (/.f64 1 (+.f64 2 (exp.f64 x)))))
(-.f64 (+.f64 (/.f64 (exp.f64 (neg.f64 (*.f64 -2 x))) (+.f64 2 (exp.f64 x))) (exp.f64 (*.f64 -1 x))) (*.f64 4 (/.f64 1 (+.f64 2 (exp.f64 x)))))
(-.f64 (+.f64 (/.f64 (exp.f64 (neg.f64 (*.f64 -2 x))) (+.f64 2 (exp.f64 x))) (exp.f64 (*.f64 -1 x))) (*.f64 4 (/.f64 1 (+.f64 2 (exp.f64 x)))))
(-.f64 (+.f64 (/.f64 (exp.f64 (neg.f64 (*.f64 -2 x))) (+.f64 2 (exp.f64 x))) (exp.f64 (*.f64 -1 x))) (*.f64 4 (/.f64 1 (+.f64 2 (exp.f64 x)))))
(-.f64 (+.f64 (/.f64 (exp.f64 (neg.f64 (*.f64 -2 x))) (+.f64 2 (exp.f64 x))) (exp.f64 (*.f64 -1 x))) (*.f64 4 (/.f64 1 (+.f64 2 (exp.f64 x)))))
1
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)))
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3
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(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 4 (exp.f64 (+.f64 x x))) (+.f64 2 (exp.f64 x)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 4 (exp.f64 (+.f64 x x))) (+.f64 2 (exp.f64 x)))))
(-.f64 (+.f64 1 (+.f64 2 (exp.f64 x))) 1)
(-.f64 (/.f64 4 (-.f64 2 (exp.f64 x))) (/.f64 (exp.f64 (+.f64 x x)) (-.f64 2 (exp.f64 x))))
(*.f64 (+.f64 2 (exp.f64 x)) 1)
(*.f64 1 (+.f64 2 (exp.f64 x)))
(*.f64 (sqrt.f64 (+.f64 2 (exp.f64 x))) (sqrt.f64 (+.f64 2 (exp.f64 x))))
(*.f64 (cbrt.f64 (+.f64 2 (exp.f64 x))) (pow.f64 (cbrt.f64 (+.f64 2 (exp.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 2 (exp.f64 x))) 2) (cbrt.f64 (+.f64 2 (exp.f64 x))))
(*.f64 (-.f64 4 (exp.f64 (+.f64 x x))) (/.f64 1 (-.f64 2 (exp.f64 x))))
(*.f64 (+.f64 8 (exp.f64 (*.f64 x 3))) (/.f64 1 (+.f64 4 (*.f64 (exp.f64 x) (-.f64 (exp.f64 x) 2)))))
(/.f64 1 (/.f64 (-.f64 2 (exp.f64 x)) (-.f64 4 (exp.f64 (+.f64 x x)))))
(/.f64 1 (/.f64 (+.f64 4 (*.f64 (exp.f64 x) (-.f64 (exp.f64 x) 2))) (+.f64 8 (exp.f64 (*.f64 x 3)))))
(/.f64 (-.f64 4 (exp.f64 (+.f64 x x))) (-.f64 2 (exp.f64 x)))
(/.f64 (+.f64 8 (exp.f64 (*.f64 x 3))) (+.f64 4 (*.f64 (exp.f64 x) (-.f64 (exp.f64 x) 2))))
(/.f64 (+.f64 8 (exp.f64 (*.f64 x 3))) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 4 (*.f64 2 (exp.f64 x)))))
(/.f64 (-.f64 (exp.f64 (+.f64 x x)) 4) (-.f64 (exp.f64 x) 2))
(/.f64 (neg.f64 (-.f64 4 (exp.f64 (+.f64 x x)))) (neg.f64 (-.f64 2 (exp.f64 x))))
(/.f64 (neg.f64 (+.f64 8 (exp.f64 (*.f64 x 3)))) (neg.f64 (+.f64 4 (*.f64 (exp.f64 x) (-.f64 (exp.f64 x) 2)))))
(pow.f64 (+.f64 2 (exp.f64 x)) 1)
(pow.f64 (sqrt.f64 (+.f64 2 (exp.f64 x))) 2)
(pow.f64 (cbrt.f64 (+.f64 2 (exp.f64 x))) 3)
(pow.f64 (pow.f64 (+.f64 2 (exp.f64 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 2 (exp.f64 x)) 2))
(log.f64 (exp.f64 (+.f64 2 (exp.f64 x))))
(cbrt.f64 (pow.f64 (+.f64 2 (exp.f64 x)) 3))
(expm1.f64 (log1p.f64 (+.f64 2 (exp.f64 x))))
(exp.f64 (log.f64 (+.f64 2 (exp.f64 x))))
(exp.f64 (*.f64 (log.f64 (+.f64 2 (exp.f64 x))) 1))
(log1p.f64 (expm1.f64 (+.f64 2 (exp.f64 x))))
(fma.f64 1 (exp.f64 x) 2)
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) 2)
(fma.f64 (cbrt.f64 (exp.f64 (+.f64 x x))) (cbrt.f64 (exp.f64 x)) 2)
(+.f64 4 (neg.f64 (exp.f64 (+.f64 x x))))
(+.f64 4 (*.f64 (neg.f64 (exp.f64 (+.f64 x x))) 1))
(+.f64 (neg.f64 (exp.f64 (+.f64 x x))) 4)
(*.f64 (-.f64 4 (exp.f64 (+.f64 x x))) 1)
(*.f64 1 (-.f64 4 (exp.f64 (+.f64 x x))))
(*.f64 (sqrt.f64 (-.f64 4 (exp.f64 (+.f64 x x)))) (sqrt.f64 (-.f64 4 (exp.f64 (+.f64 x x)))))
(*.f64 (cbrt.f64 (-.f64 4 (exp.f64 (+.f64 x x)))) (pow.f64 (cbrt.f64 (-.f64 4 (exp.f64 (+.f64 x x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 4 (exp.f64 (+.f64 x x)))) 2) (cbrt.f64 (-.f64 4 (exp.f64 (+.f64 x x)))))
(*.f64 (-.f64 16 (pow.f64 (exp.f64 (+.f64 x x)) 2)) (/.f64 1 (+.f64 4 (exp.f64 (+.f64 x x)))))
(*.f64 (-.f64 64 (exp.f64 (*.f64 (+.f64 x x) 3))) (/.f64 1 (+.f64 16 (*.f64 (exp.f64 (+.f64 x x)) (+.f64 4 (exp.f64 (+.f64 x x)))))))
(/.f64 1 (/.f64 (+.f64 4 (exp.f64 (+.f64 x x))) (-.f64 16 (pow.f64 (exp.f64 (+.f64 x x)) 2))))
(/.f64 1 (/.f64 (+.f64 16 (*.f64 (exp.f64 (+.f64 x x)) (+.f64 4 (exp.f64 (+.f64 x x))))) (-.f64 64 (exp.f64 (*.f64 (+.f64 x x) 3)))))
(/.f64 (-.f64 16 (pow.f64 (exp.f64 (+.f64 x x)) 2)) (+.f64 4 (exp.f64 (+.f64 x x))))
(/.f64 (-.f64 64 (exp.f64 (*.f64 (+.f64 x x) 3))) (+.f64 16 (*.f64 (exp.f64 (+.f64 x x)) (+.f64 4 (exp.f64 (+.f64 x x))))))
(/.f64 (-.f64 16 (*.f64 (neg.f64 (exp.f64 (+.f64 x x))) (neg.f64 (exp.f64 (+.f64 x x))))) (-.f64 4 (neg.f64 (exp.f64 (+.f64 x x)))))
(/.f64 (+.f64 64 (pow.f64 (neg.f64 (exp.f64 (+.f64 x x))) 3)) (+.f64 16 (-.f64 (*.f64 (neg.f64 (exp.f64 (+.f64 x x))) (neg.f64 (exp.f64 (+.f64 x x)))) (*.f64 4 (neg.f64 (exp.f64 (+.f64 x x)))))))
(/.f64 (neg.f64 (-.f64 16 (pow.f64 (exp.f64 (+.f64 x x)) 2))) (neg.f64 (+.f64 4 (exp.f64 (+.f64 x x)))))
(/.f64 (neg.f64 (-.f64 64 (exp.f64 (*.f64 (+.f64 x x) 3)))) (neg.f64 (+.f64 16 (*.f64 (exp.f64 (+.f64 x x)) (+.f64 4 (exp.f64 (+.f64 x x)))))))
(pow.f64 (-.f64 4 (exp.f64 (+.f64 x x))) 1)
(pow.f64 (sqrt.f64 (-.f64 4 (exp.f64 (+.f64 x x)))) 2)
(pow.f64 (cbrt.f64 (-.f64 4 (exp.f64 (+.f64 x x)))) 3)
(pow.f64 (pow.f64 (-.f64 4 (exp.f64 (+.f64 x x))) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 4 (exp.f64 (+.f64 x x))) 2))
(log.f64 (exp.f64 (-.f64 4 (exp.f64 (+.f64 x x)))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 4 (exp.f64 (+.f64 x x))))))
(cbrt.f64 (pow.f64 (-.f64 4 (exp.f64 (+.f64 x x))) 3))
(expm1.f64 (log1p.f64 (-.f64 4 (exp.f64 (+.f64 x x)))))
(exp.f64 (log.f64 (-.f64 4 (exp.f64 (+.f64 x x)))))
(exp.f64 (*.f64 (log.f64 (-.f64 4 (exp.f64 (+.f64 x x)))) 1))
(log1p.f64 (expm1.f64 (-.f64 4 (exp.f64 (+.f64 x x)))))
Outputs
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))))
(fma.f64 1/360 (pow.f64 x 6) (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4))))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))))
(fma.f64 1/360 (pow.f64 x 6) (+.f64 (*.f64 x x) (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/20160 (pow.f64 x 8)))))
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (exp.f64 (*.f64 2 x)) (+.f64 2 (exp.f64 x)))) (*.f64 4 (/.f64 1 (+.f64 2 (exp.f64 x)))))
(+.f64 (/.f64 (pow.f64 (exp.f64 2) x) (+.f64 2 (exp.f64 x))) (-.f64 (exp.f64 (neg.f64 x)) (/.f64 4 (+.f64 2 (exp.f64 x)))))
(+.f64 (exp.f64 (neg.f64 x)) (/.f64 (+.f64 (pow.f64 (exp.f64 2) x) -4) (+.f64 2 (exp.f64 x))))
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (exp.f64 (*.f64 2 x)) (+.f64 2 (exp.f64 x)))) (*.f64 4 (/.f64 1 (+.f64 2 (exp.f64 x)))))
(+.f64 (/.f64 (pow.f64 (exp.f64 2) x) (+.f64 2 (exp.f64 x))) (-.f64 (exp.f64 (neg.f64 x)) (/.f64 4 (+.f64 2 (exp.f64 x)))))
(+.f64 (exp.f64 (neg.f64 x)) (/.f64 (+.f64 (pow.f64 (exp.f64 2) x) -4) (+.f64 2 (exp.f64 x))))
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (exp.f64 (*.f64 2 x)) (+.f64 2 (exp.f64 x)))) (*.f64 4 (/.f64 1 (+.f64 2 (exp.f64 x)))))
(+.f64 (/.f64 (pow.f64 (exp.f64 2) x) (+.f64 2 (exp.f64 x))) (-.f64 (exp.f64 (neg.f64 x)) (/.f64 4 (+.f64 2 (exp.f64 x)))))
(+.f64 (exp.f64 (neg.f64 x)) (/.f64 (+.f64 (pow.f64 (exp.f64 2) x) -4) (+.f64 2 (exp.f64 x))))
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (exp.f64 (*.f64 2 x)) (+.f64 2 (exp.f64 x)))) (*.f64 4 (/.f64 1 (+.f64 2 (exp.f64 x)))))
(+.f64 (/.f64 (pow.f64 (exp.f64 2) x) (+.f64 2 (exp.f64 x))) (-.f64 (exp.f64 (neg.f64 x)) (/.f64 4 (+.f64 2 (exp.f64 x)))))
(+.f64 (exp.f64 (neg.f64 x)) (/.f64 (+.f64 (pow.f64 (exp.f64 2) x) -4) (+.f64 2 (exp.f64 x))))
(-.f64 (+.f64 (/.f64 (exp.f64 (neg.f64 (*.f64 -2 x))) (+.f64 2 (exp.f64 x))) (exp.f64 (*.f64 -1 x))) (*.f64 4 (/.f64 1 (+.f64 2 (exp.f64 x)))))
(+.f64 (/.f64 (pow.f64 (exp.f64 2) x) (+.f64 2 (exp.f64 x))) (-.f64 (exp.f64 (neg.f64 x)) (/.f64 4 (+.f64 2 (exp.f64 x)))))
(+.f64 (exp.f64 (neg.f64 x)) (/.f64 (+.f64 (pow.f64 (exp.f64 2) x) -4) (+.f64 2 (exp.f64 x))))
(-.f64 (+.f64 (/.f64 (exp.f64 (neg.f64 (*.f64 -2 x))) (+.f64 2 (exp.f64 x))) (exp.f64 (*.f64 -1 x))) (*.f64 4 (/.f64 1 (+.f64 2 (exp.f64 x)))))
(+.f64 (/.f64 (pow.f64 (exp.f64 2) x) (+.f64 2 (exp.f64 x))) (-.f64 (exp.f64 (neg.f64 x)) (/.f64 4 (+.f64 2 (exp.f64 x)))))
(+.f64 (exp.f64 (neg.f64 x)) (/.f64 (+.f64 (pow.f64 (exp.f64 2) x) -4) (+.f64 2 (exp.f64 x))))
(-.f64 (+.f64 (/.f64 (exp.f64 (neg.f64 (*.f64 -2 x))) (+.f64 2 (exp.f64 x))) (exp.f64 (*.f64 -1 x))) (*.f64 4 (/.f64 1 (+.f64 2 (exp.f64 x)))))
(+.f64 (/.f64 (pow.f64 (exp.f64 2) x) (+.f64 2 (exp.f64 x))) (-.f64 (exp.f64 (neg.f64 x)) (/.f64 4 (+.f64 2 (exp.f64 x)))))
(+.f64 (exp.f64 (neg.f64 x)) (/.f64 (+.f64 (pow.f64 (exp.f64 2) x) -4) (+.f64 2 (exp.f64 x))))
(-.f64 (+.f64 (/.f64 (exp.f64 (neg.f64 (*.f64 -2 x))) (+.f64 2 (exp.f64 x))) (exp.f64 (*.f64 -1 x))) (*.f64 4 (/.f64 1 (+.f64 2 (exp.f64 x)))))
(+.f64 (/.f64 (pow.f64 (exp.f64 2) x) (+.f64 2 (exp.f64 x))) (-.f64 (exp.f64 (neg.f64 x)) (/.f64 4 (+.f64 2 (exp.f64 x)))))
(+.f64 (exp.f64 (neg.f64 x)) (/.f64 (+.f64 (pow.f64 (exp.f64 2) x) -4) (+.f64 2 (exp.f64 x))))
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 (-.f64 1 x) (*.f64 (*.f64 -1/2 x) x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x))))
(fma.f64 -1/6 (pow.f64 x 3) (+.f64 1 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x))))
(fma.f64 -1/6 (pow.f64 x 3) (+.f64 (-.f64 1 x) (*.f64 (*.f64 -1/2 x) x)))
(/.f64 (-.f64 4 (exp.f64 (*.f64 2 x))) (+.f64 2 (exp.f64 x)))
(/.f64 (-.f64 4 (pow.f64 (exp.f64 2) x)) (+.f64 2 (exp.f64 x)))
(/.f64 (-.f64 4 (exp.f64 (*.f64 2 x))) (+.f64 2 (exp.f64 x)))
(/.f64 (-.f64 4 (pow.f64 (exp.f64 2) x)) (+.f64 2 (exp.f64 x)))
(/.f64 (-.f64 4 (exp.f64 (*.f64 2 x))) (+.f64 2 (exp.f64 x)))
(/.f64 (-.f64 4 (pow.f64 (exp.f64 2) x)) (+.f64 2 (exp.f64 x)))
(/.f64 (-.f64 4 (exp.f64 (*.f64 2 x))) (+.f64 2 (exp.f64 x)))
(/.f64 (-.f64 4 (pow.f64 (exp.f64 2) x)) (+.f64 2 (exp.f64 x)))
(/.f64 (-.f64 4 (exp.f64 (neg.f64 (*.f64 -2 x)))) (+.f64 2 (exp.f64 x)))
(/.f64 (-.f64 4 (pow.f64 (exp.f64 2) x)) (+.f64 2 (exp.f64 x)))
(/.f64 (-.f64 4 (exp.f64 (neg.f64 (*.f64 -2 x)))) (+.f64 2 (exp.f64 x)))
(/.f64 (-.f64 4 (pow.f64 (exp.f64 2) x)) (+.f64 2 (exp.f64 x)))
(/.f64 (-.f64 4 (exp.f64 (neg.f64 (*.f64 -2 x)))) (+.f64 2 (exp.f64 x)))
(/.f64 (-.f64 4 (pow.f64 (exp.f64 2) x)) (+.f64 2 (exp.f64 x)))
(/.f64 (-.f64 4 (exp.f64 (neg.f64 (*.f64 -2 x)))) (+.f64 2 (exp.f64 x)))
(/.f64 (-.f64 4 (pow.f64 (exp.f64 2) x)) (+.f64 2 (exp.f64 x)))
3
(+.f64 3 x)
(+.f64 x 3)
(+.f64 3 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 3 (fma.f64 1/2 (*.f64 x x) x))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 3 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x)))
(fma.f64 1/6 (pow.f64 x 3) (+.f64 3 (fma.f64 1/2 (*.f64 x x) x)))
3
(+.f64 3 (*.f64 -2 x))
(+.f64 (*.f64 x -2) 3)
(+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 3 (*.f64 -2 x)))
(fma.f64 -2 (*.f64 x x) (+.f64 (*.f64 x -2) 3))
(+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 3 (+.f64 (*.f64 -2 x) (*.f64 -4/3 (pow.f64 x 3)))))
(fma.f64 -2 (*.f64 x x) (+.f64 3 (fma.f64 -2 x (*.f64 (pow.f64 x 3) -4/3))))
(-.f64 4 (exp.f64 (*.f64 2 x)))
(-.f64 4 (pow.f64 (exp.f64 2) x))
(-.f64 4 (exp.f64 (*.f64 2 x)))
(-.f64 4 (pow.f64 (exp.f64 2) x))
(-.f64 4 (exp.f64 (*.f64 2 x)))
(-.f64 4 (pow.f64 (exp.f64 2) x))
(-.f64 4 (exp.f64 (*.f64 2 x)))
(-.f64 4 (pow.f64 (exp.f64 2) x))
(-.f64 4 (exp.f64 (neg.f64 (*.f64 -2 x))))
(-.f64 4 (pow.f64 (exp.f64 2) x))
(-.f64 4 (exp.f64 (neg.f64 (*.f64 -2 x))))
(-.f64 4 (pow.f64 (exp.f64 2) x))
(-.f64 4 (exp.f64 (neg.f64 (*.f64 -2 x))))
(-.f64 4 (pow.f64 (exp.f64 2) x))
(-.f64 4 (exp.f64 (neg.f64 (*.f64 -2 x))))
(-.f64 4 (pow.f64 (exp.f64 2) x))
(+.f64 (exp.f64 (neg.f64 x)) (neg.f64 (/.f64 (-.f64 4 (exp.f64 (+.f64 x x))) (+.f64 2 (exp.f64 x)))))
(+.f64 (/.f64 (pow.f64 (exp.f64 2) x) (+.f64 2 (exp.f64 x))) (-.f64 (exp.f64 (neg.f64 x)) (/.f64 4 (+.f64 2 (exp.f64 x)))))
(+.f64 (exp.f64 (neg.f64 x)) (/.f64 (+.f64 (pow.f64 (exp.f64 2) x) -4) (+.f64 2 (exp.f64 x))))
(*.f64 1 (-.f64 (exp.f64 (neg.f64 x)) (/.f64 (-.f64 4 (exp.f64 (+.f64 x x))) (+.f64 2 (exp.f64 x)))))
(+.f64 (/.f64 (pow.f64 (exp.f64 2) x) (+.f64 2 (exp.f64 x))) (-.f64 (exp.f64 (neg.f64 x)) (/.f64 4 (+.f64 2 (exp.f64 x)))))
(+.f64 (exp.f64 (neg.f64 x)) (/.f64 (+.f64 (pow.f64 (exp.f64 2) x) -4) (+.f64 2 (exp.f64 x))))
(*.f64 (sqrt.f64 (-.f64 (exp.f64 (neg.f64 x)) (/.f64 (-.f64 4 (exp.f64 (+.f64 x x))) (+.f64 2 (exp.f64 x))))) (sqrt.f64 (-.f64 (exp.f64 (neg.f64 x)) (/.f64 (-.f64 4 (exp.f64 (+.f64 x x))) (+.f64 2 (exp.f64 x))))))
(+.f64 (/.f64 (pow.f64 (exp.f64 2) x) (+.f64 2 (exp.f64 x))) (-.f64 (exp.f64 (neg.f64 x)) (/.f64 4 (+.f64 2 (exp.f64 x)))))
(+.f64 (exp.f64 (neg.f64 x)) (/.f64 (+.f64 (pow.f64 (exp.f64 2) x) -4) (+.f64 2 (exp.f64 x))))
(*.f64 (*.f64 (cbrt.f64 (-.f64 (exp.f64 (neg.f64 x)) (/.f64 (-.f64 4 (exp.f64 (+.f64 x x))) (+.f64 2 (exp.f64 x))))) (cbrt.f64 (-.f64 (exp.f64 (neg.f64 x)) (/.f64 (-.f64 4 (exp.f64 (+.f64 x x))) (+.f64 2 (exp.f64 x)))))) (cbrt.f64 (-.f64 (exp.f64 (neg.f64 x)) (/.f64 (-.f64 4 (exp.f64 (+.f64 x x))) (+.f64 2 (exp.f64 x))))))
(+.f64 (/.f64 (pow.f64 (exp.f64 2) x) (+.f64 2 (exp.f64 x))) (-.f64 (exp.f64 (neg.f64 x)) (/.f64 4 (+.f64 2 (exp.f64 x)))))
(+.f64 (exp.f64 (neg.f64 x)) (/.f64 (+.f64 (pow.f64 (exp.f64 2) x) -4) (+.f64 2 (exp.f64 x))))
(/.f64 (-.f64 (*.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) (*.f64 (/.f64 (-.f64 4 (exp.f64 (+.f64 x x))) (+.f64 2 (exp.f64 x))) (/.f64 (-.f64 4 (exp.f64 (+.f64 x x))) (+.f64 2 (exp.f64 x))))) (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (-.f64 4 (exp.f64 (+.f64 x x))) (+.f64 2 (exp.f64 x)))))
(/.f64 (-.f64 (exp.f64 (+.f64 (neg.f64 x) (neg.f64 x))) (pow.f64 (/.f64 (-.f64 4 (pow.f64 (exp.f64 2) x)) (+.f64 2 (exp.f64 x))) 2)) (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (-.f64 4 (pow.f64 (exp.f64 2) x)) (+.f64 2 (exp.f64 x)))))
(/.f64 (-.f64 (exp.f64 (*.f64 x -2)) (pow.f64 (/.f64 (-.f64 4 (pow.f64 (exp.f64 2) x)) (+.f64 2 (exp.f64 x))) 2)) (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (-.f64 4 (pow.f64 (exp.f64 2) x)) (+.f64 2 (exp.f64 x)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (neg.f64 x)) 3) (pow.f64 (/.f64 (-.f64 4 (exp.f64 (+.f64 x x))) (+.f64 2 (exp.f64 x))) 3)) (+.f64 (*.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) (+.f64 (*.f64 (/.f64 (-.f64 4 (exp.f64 (+.f64 x x))) (+.f64 2 (exp.f64 x))) (/.f64 (-.f64 4 (exp.f64 (+.f64 x x))) (+.f64 2 (exp.f64 x)))) (*.f64 (exp.f64 (neg.f64 x)) (/.f64 (-.f64 4 (exp.f64 (+.f64 x x))) (+.f64 2 (exp.f64 x)))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (neg.f64 x)) 3) (pow.f64 (/.f64 (-.f64 4 (pow.f64 (exp.f64 2) x)) (+.f64 2 (exp.f64 x))) 3)) (+.f64 (exp.f64 (+.f64 (neg.f64 x) (neg.f64 x))) (*.f64 (/.f64 (-.f64 4 (pow.f64 (exp.f64 2) x)) (+.f64 2 (exp.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (-.f64 4 (pow.f64 (exp.f64 2) x)) (+.f64 2 (exp.f64 x)))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (neg.f64 x)) 3) (pow.f64 (/.f64 (-.f64 4 (pow.f64 (exp.f64 2) x)) (+.f64 2 (exp.f64 x))) 3)) (+.f64 (*.f64 (/.f64 (-.f64 4 (pow.f64 (exp.f64 2) x)) (+.f64 2 (exp.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (-.f64 4 (pow.f64 (exp.f64 2) x)) (+.f64 2 (exp.f64 x))))) (exp.f64 (*.f64 x -2))))
(pow.f64 (-.f64 (exp.f64 (neg.f64 x)) (/.f64 (-.f64 4 (exp.f64 (+.f64 x x))) (+.f64 2 (exp.f64 x)))) 1)
(+.f64 (/.f64 (pow.f64 (exp.f64 2) x) (+.f64 2 (exp.f64 x))) (-.f64 (exp.f64 (neg.f64 x)) (/.f64 4 (+.f64 2 (exp.f64 x)))))
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(/.f64 (-.f64 4 (pow.f64 (exp.f64 2) x)) (-.f64 2 (exp.f64 x)))
(/.f64 1 (/.f64 (+.f64 4 (*.f64 (exp.f64 x) (-.f64 (exp.f64 x) 2))) (+.f64 8 (exp.f64 (*.f64 x 3)))))
(*.f64 (+.f64 8 (pow.f64 (exp.f64 x) 3)) (/.f64 1 (+.f64 4 (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) -2)))))
(/.f64 (+.f64 8 (pow.f64 (exp.f64 x) 3)) (+.f64 4 (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) -2))))
(/.f64 (-.f64 4 (exp.f64 (+.f64 x x))) (-.f64 2 (exp.f64 x)))
(/.f64 (-.f64 4 (pow.f64 (exp.f64 2) x)) (-.f64 2 (exp.f64 x)))
(/.f64 (+.f64 8 (exp.f64 (*.f64 x 3))) (+.f64 4 (*.f64 (exp.f64 x) (-.f64 (exp.f64 x) 2))))
(*.f64 (+.f64 8 (pow.f64 (exp.f64 x) 3)) (/.f64 1 (+.f64 4 (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) -2)))))
(/.f64 (+.f64 8 (pow.f64 (exp.f64 x) 3)) (+.f64 4 (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) -2))))
(/.f64 (+.f64 8 (exp.f64 (*.f64 x 3))) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 4 (*.f64 2 (exp.f64 x)))))
(/.f64 (+.f64 8 (pow.f64 (exp.f64 x) 3)) (+.f64 (pow.f64 (exp.f64 2) x) (+.f64 4 (*.f64 -2 (exp.f64 x)))))
(/.f64 (+.f64 8 (pow.f64 (exp.f64 x) 3)) (+.f64 (pow.f64 (exp.f64 2) x) (+.f64 4 (*.f64 (exp.f64 x) -2))))
(/.f64 (-.f64 (exp.f64 (+.f64 x x)) 4) (-.f64 (exp.f64 x) 2))
(/.f64 (+.f64 (pow.f64 (exp.f64 2) x) -4) (+.f64 (exp.f64 x) -2))
(/.f64 (neg.f64 (-.f64 4 (exp.f64 (+.f64 x x)))) (neg.f64 (-.f64 2 (exp.f64 x))))
(/.f64 (+.f64 (pow.f64 (exp.f64 2) x) -4) (+.f64 (exp.f64 x) -2))
(/.f64 (neg.f64 (+.f64 8 (exp.f64 (*.f64 x 3)))) (neg.f64 (+.f64 4 (*.f64 (exp.f64 x) (-.f64 (exp.f64 x) 2)))))
(/.f64 (+.f64 -8 (neg.f64 (pow.f64 (exp.f64 x) 3))) (+.f64 -4 (neg.f64 (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) -2)))))
(/.f64 (-.f64 -8 (pow.f64 (exp.f64 x) 3)) (-.f64 -4 (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) -2))))
(pow.f64 (+.f64 2 (exp.f64 x)) 1)
(+.f64 2 (exp.f64 x))
(pow.f64 (sqrt.f64 (+.f64 2 (exp.f64 x))) 2)
(+.f64 2 (exp.f64 x))
(pow.f64 (cbrt.f64 (+.f64 2 (exp.f64 x))) 3)
(+.f64 2 (exp.f64 x))
(pow.f64 (pow.f64 (+.f64 2 (exp.f64 x)) 3) 1/3)
(+.f64 2 (exp.f64 x))
(sqrt.f64 (pow.f64 (+.f64 2 (exp.f64 x)) 2))
(log.f64 (exp.f64 (+.f64 2 (exp.f64 x))))
(+.f64 2 (exp.f64 x))
(cbrt.f64 (pow.f64 (+.f64 2 (exp.f64 x)) 3))
(+.f64 2 (exp.f64 x))
(expm1.f64 (log1p.f64 (+.f64 2 (exp.f64 x))))
(+.f64 2 (exp.f64 x))
(exp.f64 (log.f64 (+.f64 2 (exp.f64 x))))
(+.f64 2 (exp.f64 x))
(exp.f64 (*.f64 (log.f64 (+.f64 2 (exp.f64 x))) 1))
(+.f64 2 (exp.f64 x))
(log1p.f64 (expm1.f64 (+.f64 2 (exp.f64 x))))
(+.f64 2 (exp.f64 x))
(fma.f64 1 (exp.f64 x) 2)
(+.f64 2 (exp.f64 x))
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) 2)
(fma.f64 (cbrt.f64 (exp.f64 (+.f64 x x))) (cbrt.f64 (exp.f64 x)) 2)
(fma.f64 (cbrt.f64 (pow.f64 (exp.f64 2) x)) (cbrt.f64 (exp.f64 x)) 2)
(+.f64 4 (neg.f64 (exp.f64 (+.f64 x x))))
(-.f64 4 (pow.f64 (exp.f64 2) x))
(+.f64 4 (*.f64 (neg.f64 (exp.f64 (+.f64 x x))) 1))
(-.f64 4 (pow.f64 (exp.f64 2) x))
(+.f64 (neg.f64 (exp.f64 (+.f64 x x))) 4)
(-.f64 4 (pow.f64 (exp.f64 2) x))
(*.f64 (-.f64 4 (exp.f64 (+.f64 x x))) 1)
(-.f64 4 (pow.f64 (exp.f64 2) x))
(*.f64 1 (-.f64 4 (exp.f64 (+.f64 x x))))
(-.f64 4 (pow.f64 (exp.f64 2) x))
(*.f64 (sqrt.f64 (-.f64 4 (exp.f64 (+.f64 x x)))) (sqrt.f64 (-.f64 4 (exp.f64 (+.f64 x x)))))
(-.f64 4 (pow.f64 (exp.f64 2) x))
(*.f64 (cbrt.f64 (-.f64 4 (exp.f64 (+.f64 x x)))) (pow.f64 (cbrt.f64 (-.f64 4 (exp.f64 (+.f64 x x)))) 2))
(-.f64 4 (pow.f64 (exp.f64 2) x))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 4 (exp.f64 (+.f64 x x)))) 2) (cbrt.f64 (-.f64 4 (exp.f64 (+.f64 x x)))))
(-.f64 4 (pow.f64 (exp.f64 2) x))
(*.f64 (-.f64 16 (pow.f64 (exp.f64 (+.f64 x x)) 2)) (/.f64 1 (+.f64 4 (exp.f64 (+.f64 x x)))))
(*.f64 (-.f64 16 (pow.f64 (pow.f64 (exp.f64 2) x) 2)) (/.f64 1 (+.f64 4 (pow.f64 (exp.f64 2) x))))
(/.f64 (-.f64 16 (pow.f64 (exp.f64 2) (+.f64 x x))) (+.f64 4 (pow.f64 (exp.f64 2) x)))
(*.f64 (-.f64 64 (exp.f64 (*.f64 (+.f64 x x) 3))) (/.f64 1 (+.f64 16 (*.f64 (exp.f64 (+.f64 x x)) (+.f64 4 (exp.f64 (+.f64 x x)))))))
(/.f64 (*.f64 (-.f64 64 (exp.f64 (*.f64 3 (+.f64 x x)))) 1) (+.f64 16 (*.f64 (pow.f64 (exp.f64 2) x) (+.f64 4 (pow.f64 (exp.f64 2) x)))))
(/.f64 (-.f64 64 (exp.f64 (*.f64 x 6))) (+.f64 16 (*.f64 (pow.f64 (exp.f64 2) x) (+.f64 4 (pow.f64 (exp.f64 2) x)))))
(/.f64 1 (/.f64 (+.f64 4 (exp.f64 (+.f64 x x))) (-.f64 16 (pow.f64 (exp.f64 (+.f64 x x)) 2))))
(*.f64 (-.f64 16 (pow.f64 (pow.f64 (exp.f64 2) x) 2)) (/.f64 1 (+.f64 4 (pow.f64 (exp.f64 2) x))))
(/.f64 (-.f64 16 (pow.f64 (exp.f64 2) (+.f64 x x))) (+.f64 4 (pow.f64 (exp.f64 2) x)))
(/.f64 1 (/.f64 (+.f64 16 (*.f64 (exp.f64 (+.f64 x x)) (+.f64 4 (exp.f64 (+.f64 x x))))) (-.f64 64 (exp.f64 (*.f64 (+.f64 x x) 3)))))
(/.f64 (*.f64 (-.f64 64 (exp.f64 (*.f64 3 (+.f64 x x)))) 1) (+.f64 16 (*.f64 (pow.f64 (exp.f64 2) x) (+.f64 4 (pow.f64 (exp.f64 2) x)))))
(/.f64 (-.f64 64 (exp.f64 (*.f64 x 6))) (+.f64 16 (*.f64 (pow.f64 (exp.f64 2) x) (+.f64 4 (pow.f64 (exp.f64 2) x)))))
(/.f64 (-.f64 16 (pow.f64 (exp.f64 (+.f64 x x)) 2)) (+.f64 4 (exp.f64 (+.f64 x x))))
(*.f64 (-.f64 16 (pow.f64 (pow.f64 (exp.f64 2) x) 2)) (/.f64 1 (+.f64 4 (pow.f64 (exp.f64 2) x))))
(/.f64 (-.f64 16 (pow.f64 (exp.f64 2) (+.f64 x x))) (+.f64 4 (pow.f64 (exp.f64 2) x)))
(/.f64 (-.f64 64 (exp.f64 (*.f64 (+.f64 x x) 3))) (+.f64 16 (*.f64 (exp.f64 (+.f64 x x)) (+.f64 4 (exp.f64 (+.f64 x x))))))
(/.f64 (*.f64 (-.f64 64 (exp.f64 (*.f64 3 (+.f64 x x)))) 1) (+.f64 16 (*.f64 (pow.f64 (exp.f64 2) x) (+.f64 4 (pow.f64 (exp.f64 2) x)))))
(/.f64 (-.f64 64 (exp.f64 (*.f64 x 6))) (+.f64 16 (*.f64 (pow.f64 (exp.f64 2) x) (+.f64 4 (pow.f64 (exp.f64 2) x)))))
(/.f64 (-.f64 16 (*.f64 (neg.f64 (exp.f64 (+.f64 x x))) (neg.f64 (exp.f64 (+.f64 x x))))) (-.f64 4 (neg.f64 (exp.f64 (+.f64 x x)))))
(*.f64 (-.f64 16 (pow.f64 (pow.f64 (exp.f64 2) x) 2)) (/.f64 1 (+.f64 4 (pow.f64 (exp.f64 2) x))))
(/.f64 (-.f64 16 (pow.f64 (exp.f64 2) (+.f64 x x))) (+.f64 4 (pow.f64 (exp.f64 2) x)))
(/.f64 (+.f64 64 (pow.f64 (neg.f64 (exp.f64 (+.f64 x x))) 3)) (+.f64 16 (-.f64 (*.f64 (neg.f64 (exp.f64 (+.f64 x x))) (neg.f64 (exp.f64 (+.f64 x x)))) (*.f64 4 (neg.f64 (exp.f64 (+.f64 x x)))))))
(/.f64 (*.f64 (-.f64 64 (exp.f64 (*.f64 3 (+.f64 x x)))) 1) (+.f64 16 (*.f64 (pow.f64 (exp.f64 2) x) (+.f64 4 (pow.f64 (exp.f64 2) x)))))
(/.f64 (-.f64 64 (exp.f64 (*.f64 x 6))) (+.f64 16 (*.f64 (pow.f64 (exp.f64 2) x) (+.f64 4 (pow.f64 (exp.f64 2) x)))))
(/.f64 (neg.f64 (-.f64 16 (pow.f64 (exp.f64 (+.f64 x x)) 2))) (neg.f64 (+.f64 4 (exp.f64 (+.f64 x x)))))
(/.f64 (neg.f64 (-.f64 16 (pow.f64 (pow.f64 (exp.f64 2) x) 2))) (neg.f64 (+.f64 4 (pow.f64 (exp.f64 2) x))))
(/.f64 (+.f64 -16 (pow.f64 (exp.f64 2) (+.f64 x x))) (-.f64 -4 (pow.f64 (exp.f64 2) x)))
(/.f64 (neg.f64 (-.f64 64 (exp.f64 (*.f64 (+.f64 x x) 3)))) (neg.f64 (+.f64 16 (*.f64 (exp.f64 (+.f64 x x)) (+.f64 4 (exp.f64 (+.f64 x x)))))))
(/.f64 (neg.f64 (-.f64 64 (exp.f64 (*.f64 3 (+.f64 x x))))) (+.f64 -16 (neg.f64 (*.f64 (pow.f64 (exp.f64 2) x) (+.f64 4 (pow.f64 (exp.f64 2) x))))))
(/.f64 (+.f64 (exp.f64 (*.f64 x 6)) -64) (+.f64 -16 (*.f64 (pow.f64 (exp.f64 2) x) (-.f64 -4 (pow.f64 (exp.f64 2) x)))))
(pow.f64 (-.f64 4 (exp.f64 (+.f64 x x))) 1)
(-.f64 4 (pow.f64 (exp.f64 2) x))
(pow.f64 (sqrt.f64 (-.f64 4 (exp.f64 (+.f64 x x)))) 2)
(-.f64 4 (pow.f64 (exp.f64 2) x))
(pow.f64 (cbrt.f64 (-.f64 4 (exp.f64 (+.f64 x x)))) 3)
(-.f64 4 (pow.f64 (exp.f64 2) x))
(pow.f64 (pow.f64 (-.f64 4 (exp.f64 (+.f64 x x))) 3) 1/3)
(-.f64 4 (pow.f64 (exp.f64 2) x))
(sqrt.f64 (pow.f64 (-.f64 4 (exp.f64 (+.f64 x x))) 2))
(sqrt.f64 (pow.f64 (-.f64 4 (pow.f64 (exp.f64 2) x)) 2))
(log.f64 (exp.f64 (-.f64 4 (exp.f64 (+.f64 x x)))))
(-.f64 4 (pow.f64 (exp.f64 2) x))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 4 (exp.f64 (+.f64 x x))))))
(-.f64 4 (pow.f64 (exp.f64 2) x))
(cbrt.f64 (pow.f64 (-.f64 4 (exp.f64 (+.f64 x x))) 3))
(-.f64 4 (pow.f64 (exp.f64 2) x))
(expm1.f64 (log1p.f64 (-.f64 4 (exp.f64 (+.f64 x x)))))
(-.f64 4 (pow.f64 (exp.f64 2) x))
(exp.f64 (log.f64 (-.f64 4 (exp.f64 (+.f64 x x)))))
(-.f64 4 (pow.f64 (exp.f64 2) x))
(exp.f64 (*.f64 (log.f64 (-.f64 4 (exp.f64 (+.f64 x x)))) 1))
(-.f64 4 (pow.f64 (exp.f64 2) x))
(log1p.f64 (expm1.f64 (-.f64 4 (exp.f64 (+.f64 x x)))))
(-.f64 4 (pow.f64 (exp.f64 2) x))

eval233.0ms (2.3%)

Compiler

Compiled 11805 to 7248 computations (38.6% saved)

prune92.0ms (0.9%)

Pruning

13 alts after pruning (8 fresh and 5 done)

PrunedKeptTotal
New5067513
Fresh314
Picked011
Done347
Total51213525
Error
0b
Counts
525 → 13
Alt Table
Click to see full alt table
StatusErrorProgram
✓28.2b
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
29.1b
(-.f64 (+.f64 2 (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))) 2)
29.3b
(-.f64 (+.f64 2 (*.f64 x x)) 2)
▶60.4b
(-.f64 (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/6))) x)
✓28.2b
(-.f64 (exp.f64 (neg.f64 x)) (/.f64 (-.f64 4 (exp.f64 (+.f64 x x))) (+.f64 2 (exp.f64 x))))
✓29.4b
(-.f64 (exp.f64 (neg.f64 x)) 1)
▶0.8b
(+.f64 (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4))) (*.f64 1/360 (pow.f64 x 6)))
✓1.0b
(+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))
▶0.8b
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 x x)) (*.f64 1/20160 (pow.f64 x 8))))
✓1.2b
(*.f64 x x)
▶60.4b
(neg.f64 x)
▶60.1b
(expm1.f64 (neg.f64 x))
60.0b
(expm1.f64 x)
Compiler

Compiled 209 to 155 computations (25.8% saved)

localize29.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 x x))
0.0b
(*.f64 1/20160 (pow.f64 x 8))
0.0b
(*.f64 1/360 (pow.f64 x 6))
0.1b
(*.f64 1/12 (pow.f64 x 4))
Compiler

Compiled 80 to 56 computations (30% saved)

series0.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@0
(+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 x x))
0.0ms
x
@inf
(+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 x x))
0.0ms
x
@-inf
(+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 x x))

rewrite60.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
1840×add-sqr-sqrt
1810×*-un-lft-identity
1706×add-cube-cbrt
1694×add-cbrt-cube
184×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0921
120021
2245921
Stop Event
1×node limit
Counts
1 → 37
Calls
Call 1
Inputs
(+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 x x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (pow.f64 x 8) 1/144) (-.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 x x))) (/.f64 (pow.f64 x 4) (-.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 x (*.f64 (*.f64 x x) (sqrt.f64 1/12))) (hypot.f64 x (*.f64 (*.f64 x x) (sqrt.f64 1/12))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 x x))) (pow.f64 (cbrt.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 x x))) 2) (cbrt.f64 (+.f64 (*.f64 1/12 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1/1728) (pow.f64 x 6)) (+.f64 (*.f64 (pow.f64 x 8) 1/144) (-.f64 (pow.f64 x 4) (*.f64 1/12 (pow.f64 x 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 x 4) 3) 1/1728) (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (-.f64 (*.f64 (pow.f64 x 8) 1/144) (*.f64 1/12 (pow.f64 x 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 4) (*.f64 (pow.f64 x 8) 1/144)) (-.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x 8) 1/144) (pow.f64 x 4))) (neg.f64 (-.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 x 4) 3) 1/1728) (pow.f64 x 6))) (neg.f64 (+.f64 (*.f64 (pow.f64 x 8) 1/144) (-.f64 (pow.f64 x 4) (*.f64 1/12 (pow.f64 x 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 x (*.f64 (*.f64 x x) (sqrt.f64 1/12))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 x x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 4) 1/12 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 1/12 (pow.f64 x 4)) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x x) (sqrt.f64 1/12)) (*.f64 (*.f64 x x) (sqrt.f64 1/12)) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) (*.f64 1/12 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 8) 1/144)) (cbrt.f64 (*.f64 1/12 (pow.f64 x 4))) (*.f64 x x))))))

simplify138.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
1392×associate-*r*
1094×associate-*l*
924×associate-+r+
758×associate-+l+
696×distribute-lft-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01021545
12491515
28311447
345281447
Stop Event
1×node limit
Counts
49 → 49
Calls
Call 1
Inputs
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(*.f64 1/12 (pow.f64 x 4))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(*.f64 1/12 (pow.f64 x 4))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 x x)))) 1)
(-.f64 (/.f64 (*.f64 (pow.f64 x 8) 1/144) (-.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 x x))) (/.f64 (pow.f64 x 4) (-.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 x x))))
(*.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 x x)) 1)
(*.f64 1 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 x x)))
(*.f64 (hypot.f64 x (*.f64 (*.f64 x x) (sqrt.f64 1/12))) (hypot.f64 x (*.f64 (*.f64 x x) (sqrt.f64 1/12))))
(*.f64 (cbrt.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 x x))) (pow.f64 (cbrt.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 x x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 x x))) 2) (cbrt.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 x x))))
(*.f64 (-.f64 (*.f64 (pow.f64 x 8) 1/144) (pow.f64 x 4)) (/.f64 1 (-.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 x x))))
(*.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 x 4) 3) 1/1728) (pow.f64 x 6)) (/.f64 1 (+.f64 (*.f64 (pow.f64 x 8) 1/144) (-.f64 (pow.f64 x 4) (*.f64 1/12 (pow.f64 x 6))))))
(/.f64 1 (/.f64 (-.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 x x)) (-.f64 (*.f64 (pow.f64 x 8) 1/144) (pow.f64 x 4))))
(/.f64 1 (/.f64 (+.f64 (*.f64 (pow.f64 x 8) 1/144) (-.f64 (pow.f64 x 4) (*.f64 1/12 (pow.f64 x 6)))) (+.f64 (*.f64 (pow.f64 (pow.f64 x 4) 3) 1/1728) (pow.f64 x 6))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 8) 1/144) (pow.f64 x 4)) (-.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 x x)))
(/.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 x 4) 3) 1/1728) (pow.f64 x 6)) (+.f64 (*.f64 (pow.f64 x 8) 1/144) (-.f64 (pow.f64 x 4) (*.f64 1/12 (pow.f64 x 6)))))
(/.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 x 4) 3) 1/1728) (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (-.f64 (*.f64 (pow.f64 x 8) 1/144) (*.f64 1/12 (pow.f64 x 6)))))
(/.f64 (-.f64 (pow.f64 x 4) (*.f64 (pow.f64 x 8) 1/144)) (-.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x 8) 1/144) (pow.f64 x 4))) (neg.f64 (-.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 x x))))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 x 4) 3) 1/1728) (pow.f64 x 6))) (neg.f64 (+.f64 (*.f64 (pow.f64 x 8) 1/144) (-.f64 (pow.f64 x 4) (*.f64 1/12 (pow.f64 x 6))))))
(pow.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 x x)) 1)
(pow.f64 (hypot.f64 x (*.f64 (*.f64 x x) (sqrt.f64 1/12))) 2)
(pow.f64 (cbrt.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 x x))) 3)
(pow.f64 (pow.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 x x)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 x x)) 2))
(log.f64 (exp.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 x x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 x x)))))
(cbrt.f64 (pow.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 x x)) 3))
(expm1.f64 (log1p.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 x x))))
(exp.f64 (log.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 x x))))
(exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 x x))) 1))
(log1p.f64 (expm1.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 x x))))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 (pow.f64 x 4) 1/12 (*.f64 x x))
(fma.f64 1 (*.f64 1/12 (pow.f64 x 4)) (*.f64 x x))
(fma.f64 1 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 (*.f64 (*.f64 x x) (sqrt.f64 1/12)) (*.f64 (*.f64 x x) (sqrt.f64 1/12)) (*.f64 x x))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 8) 1/144)) (cbrt.f64 (*.f64 1/12 (pow.f64 x 4))) (*.f64 x x))
Outputs
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))
(*.f64 1/12 (pow.f64 x 4))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))
(*.f64 1/12 (pow.f64 x 4))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 x x)))) 1)
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))
(-.f64 (/.f64 (*.f64 (pow.f64 x 8) 1/144) (-.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 x x))) (/.f64 (pow.f64 x 4) (-.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 x x))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 8) 1/144) (pow.f64 x 4)) (-.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 x x)))
(/.f64 (fma.f64 (pow.f64 x 8) -1/144 (pow.f64 x 4)) (fma.f64 x x (*.f64 (pow.f64 x 4) -1/12)))
(/.f64 (fma.f64 (pow.f64 x 8) -1/144 (pow.f64 x 4)) (fma.f64 (pow.f64 x 4) -1/12 (*.f64 x x)))
(*.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 x x)) 1)
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))
(*.f64 1 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 x x)))
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))
(*.f64 (hypot.f64 x (*.f64 (*.f64 x x) (sqrt.f64 1/12))) (hypot.f64 x (*.f64 (*.f64 x x) (sqrt.f64 1/12))))
(pow.f64 (hypot.f64 x (*.f64 x (*.f64 x (sqrt.f64 1/12)))) 2)
(*.f64 (cbrt.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 x x))) (pow.f64 (cbrt.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 x x))) 2))
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 x x))) 2) (cbrt.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 x x))))
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))
(*.f64 (-.f64 (*.f64 (pow.f64 x 8) 1/144) (pow.f64 x 4)) (/.f64 1 (-.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 x x))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 8) 1/144) (pow.f64 x 4)) (-.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 x x)))
(/.f64 (fma.f64 (pow.f64 x 8) -1/144 (pow.f64 x 4)) (fma.f64 x x (*.f64 (pow.f64 x 4) -1/12)))
(/.f64 (fma.f64 (pow.f64 x 8) -1/144 (pow.f64 x 4)) (fma.f64 (pow.f64 x 4) -1/12 (*.f64 x x)))
(*.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 x 4) 3) 1/1728) (pow.f64 x 6)) (/.f64 1 (+.f64 (*.f64 (pow.f64 x 8) 1/144) (-.f64 (pow.f64 x 4) (*.f64 1/12 (pow.f64 x 6))))))
(*.f64 (fma.f64 (pow.f64 (pow.f64 x 4) 3) 1/1728 (pow.f64 x 6)) (/.f64 1 (fma.f64 (pow.f64 x 8) 1/144 (-.f64 (pow.f64 x 4) (*.f64 1/12 (pow.f64 x 6))))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 4) 3) 1/1728 (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (fma.f64 (pow.f64 x 8) 1/144 (*.f64 (pow.f64 x 6) -1/12))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 4) 3) 1/1728 (pow.f64 x 6)) (fma.f64 (pow.f64 x 8) 1/144 (fma.f64 (pow.f64 x 6) -1/12 (pow.f64 x 4))))
(/.f64 1 (/.f64 (-.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 x x)) (-.f64 (*.f64 (pow.f64 x 8) 1/144) (pow.f64 x 4))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 8) 1/144) (pow.f64 x 4)) (-.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 x x)))
(/.f64 (fma.f64 (pow.f64 x 8) -1/144 (pow.f64 x 4)) (fma.f64 x x (*.f64 (pow.f64 x 4) -1/12)))
(/.f64 (fma.f64 (pow.f64 x 8) -1/144 (pow.f64 x 4)) (fma.f64 (pow.f64 x 4) -1/12 (*.f64 x x)))
(/.f64 1 (/.f64 (+.f64 (*.f64 (pow.f64 x 8) 1/144) (-.f64 (pow.f64 x 4) (*.f64 1/12 (pow.f64 x 6)))) (+.f64 (*.f64 (pow.f64 (pow.f64 x 4) 3) 1/1728) (pow.f64 x 6))))
(*.f64 (fma.f64 (pow.f64 (pow.f64 x 4) 3) 1/1728 (pow.f64 x 6)) (/.f64 1 (fma.f64 (pow.f64 x 8) 1/144 (-.f64 (pow.f64 x 4) (*.f64 1/12 (pow.f64 x 6))))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 4) 3) 1/1728 (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (fma.f64 (pow.f64 x 8) 1/144 (*.f64 (pow.f64 x 6) -1/12))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 4) 3) 1/1728 (pow.f64 x 6)) (fma.f64 (pow.f64 x 8) 1/144 (fma.f64 (pow.f64 x 6) -1/12 (pow.f64 x 4))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 8) 1/144) (pow.f64 x 4)) (-.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 x x)))
(/.f64 (fma.f64 (pow.f64 x 8) -1/144 (pow.f64 x 4)) (fma.f64 x x (*.f64 (pow.f64 x 4) -1/12)))
(/.f64 (fma.f64 (pow.f64 x 8) -1/144 (pow.f64 x 4)) (fma.f64 (pow.f64 x 4) -1/12 (*.f64 x x)))
(/.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 x 4) 3) 1/1728) (pow.f64 x 6)) (+.f64 (*.f64 (pow.f64 x 8) 1/144) (-.f64 (pow.f64 x 4) (*.f64 1/12 (pow.f64 x 6)))))
(*.f64 (fma.f64 (pow.f64 (pow.f64 x 4) 3) 1/1728 (pow.f64 x 6)) (/.f64 1 (fma.f64 (pow.f64 x 8) 1/144 (-.f64 (pow.f64 x 4) (*.f64 1/12 (pow.f64 x 6))))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 4) 3) 1/1728 (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (fma.f64 (pow.f64 x 8) 1/144 (*.f64 (pow.f64 x 6) -1/12))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 4) 3) 1/1728 (pow.f64 x 6)) (fma.f64 (pow.f64 x 8) 1/144 (fma.f64 (pow.f64 x 6) -1/12 (pow.f64 x 4))))
(/.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 x 4) 3) 1/1728) (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (-.f64 (*.f64 (pow.f64 x 8) 1/144) (*.f64 1/12 (pow.f64 x 6)))))
(*.f64 (fma.f64 (pow.f64 (pow.f64 x 4) 3) 1/1728 (pow.f64 x 6)) (/.f64 1 (fma.f64 (pow.f64 x 8) 1/144 (-.f64 (pow.f64 x 4) (*.f64 1/12 (pow.f64 x 6))))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 4) 3) 1/1728 (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (fma.f64 (pow.f64 x 8) 1/144 (*.f64 (pow.f64 x 6) -1/12))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 4) 3) 1/1728 (pow.f64 x 6)) (fma.f64 (pow.f64 x 8) 1/144 (fma.f64 (pow.f64 x 6) -1/12 (pow.f64 x 4))))
(/.f64 (-.f64 (pow.f64 x 4) (*.f64 (pow.f64 x 8) 1/144)) (-.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 8) 1/144) (pow.f64 x 4)) (-.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 x x)))
(/.f64 (fma.f64 (pow.f64 x 8) -1/144 (pow.f64 x 4)) (fma.f64 x x (*.f64 (pow.f64 x 4) -1/12)))
(/.f64 (fma.f64 (pow.f64 x 8) -1/144 (pow.f64 x 4)) (fma.f64 (pow.f64 x 4) -1/12 (*.f64 x x)))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x 8) 1/144) (pow.f64 x 4))) (neg.f64 (-.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 x x))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 8) 1/144) (pow.f64 x 4)) (-.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 x x)))
(/.f64 (fma.f64 (pow.f64 x 8) -1/144 (pow.f64 x 4)) (fma.f64 x x (*.f64 (pow.f64 x 4) -1/12)))
(/.f64 (fma.f64 (pow.f64 x 8) -1/144 (pow.f64 x 4)) (fma.f64 (pow.f64 x 4) -1/12 (*.f64 x x)))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 x 4) 3) 1/1728) (pow.f64 x 6))) (neg.f64 (+.f64 (*.f64 (pow.f64 x 8) 1/144) (-.f64 (pow.f64 x 4) (*.f64 1/12 (pow.f64 x 6))))))
(*.f64 (fma.f64 (pow.f64 (pow.f64 x 4) 3) 1/1728 (pow.f64 x 6)) (/.f64 1 (fma.f64 (pow.f64 x 8) 1/144 (-.f64 (pow.f64 x 4) (*.f64 1/12 (pow.f64 x 6))))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 4) 3) 1/1728 (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (fma.f64 (pow.f64 x 8) 1/144 (*.f64 (pow.f64 x 6) -1/12))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 4) 3) 1/1728 (pow.f64 x 6)) (fma.f64 (pow.f64 x 8) 1/144 (fma.f64 (pow.f64 x 6) -1/12 (pow.f64 x 4))))
(pow.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 x x)) 1)
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))
(pow.f64 (hypot.f64 x (*.f64 (*.f64 x x) (sqrt.f64 1/12))) 2)
(pow.f64 (hypot.f64 x (*.f64 x (*.f64 x (sqrt.f64 1/12)))) 2)
(pow.f64 (cbrt.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 x x))) 3)
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))
(pow.f64 (pow.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 x x)) 3) 1/3)
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))
(sqrt.f64 (pow.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 x x)) 2))
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))
(log.f64 (exp.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 x x))))
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 x x)))))
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))
(cbrt.f64 (pow.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 x x)) 3))
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))
(expm1.f64 (log1p.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 x x))))
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))
(exp.f64 (log.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 x x))))
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))
(exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 x x))) 1))
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))
(log1p.f64 (expm1.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 x x))))
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))
(fma.f64 (pow.f64 x 4) 1/12 (*.f64 x x))
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))
(fma.f64 1 (*.f64 1/12 (pow.f64 x 4)) (*.f64 x x))
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))
(fma.f64 1 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))
(fma.f64 (*.f64 (*.f64 x x) (sqrt.f64 1/12)) (*.f64 (*.f64 x x) (sqrt.f64 1/12)) (*.f64 x x))
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2)))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 8) 1/144)) (cbrt.f64 (*.f64 1/12 (pow.f64 x 4))) (*.f64 x x))
(fma.f64 x x (*.f64 (cbrt.f64 (*.f64 (pow.f64 x 8) 1/144)) (cbrt.f64 (*.f64 1/12 (pow.f64 x 4)))))

localize2.0ms (0%)

Compiler

Compiled 4 to 2 computations (50% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/6))) x)
✓0.0b
(+.f64 1/2 (*.f64 x -1/6))
✓0.0b
(*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/6)))
✓0.3b
(*.f64 x -1/6)
Compiler

Compiled 35 to 21 computations (40% saved)

series3.0ms (0%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/6)))
0.0ms
x
@inf
(*.f64 x -1/6)
0.0ms
x
@-inf
(*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/6)))
0.0ms
x
@0
(*.f64 x -1/6)
0.0ms
x
@-inf
(*.f64 x -1/6)

rewrite171.0ms (1.7%)

Algorithm
1×batch-egg-rewrite
Rules
1238×associate-*r/
1032×distribute-rgt-in
1002×associate-*l/
990×distribute-lft-in
272×associate-+l+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01076
123364
2326664
Stop Event
1×node limit
Counts
4 → 298
Calls
Call 1
Inputs
(*.f64 x -1/6)
(*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/6)))
(+.f64 1/2 (*.f64 x -1/6))
(-.f64 (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/6))) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x -1/6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x -1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x -1/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x -1/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/216 (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 x x) 1/36))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x -1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 -1/216 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x -1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x -1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x -1/6)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x -1/6)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 x (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x 1/2)) (*.f64 -1/6 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (*.f64 x 1/2)) 1) (*.f64 (*.f64 -1/6 (pow.f64 x 3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 -1/6 (pow.f64 x 3)) 1) (*.f64 (*.f64 x (*.f64 x 1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 1/2 x)) (*.f64 x (*.f64 (*.f64 x -1/6) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 (*.f64 x -1/6) x)) (*.f64 x (*.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 (*.f64 x (*.f64 x 1/2)) 1)) (*.f64 1 (*.f64 (*.f64 -1/6 (pow.f64 x 3)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x 1/2) x) (*.f64 (*.f64 x (*.f64 x -1/6)) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (*.f64 x -1/6)) x) (*.f64 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (*.f64 x (+.f64 1/8 (*.f64 -1/216 (pow.f64 x 3))))) (+.f64 (*.f64 (*.f64 x x) 1/36) (-.f64 1/4 (*.f64 -1/12 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) 1/36) 1/4)) (-.f64 (*.f64 x -1/6) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x x) (neg.f64 (-.f64 1/4 (*.f64 (*.f64 x x) 1/36)))) (neg.f64 (+.f64 1/2 (*.f64 1/6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x x) (neg.f64 (+.f64 1/8 (*.f64 -1/216 (pow.f64 x 3))))) (neg.f64 (+.f64 (*.f64 (*.f64 x x) 1/36) (-.f64 1/4 (*.f64 -1/12 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (*.f64 (*.f64 x x) (-.f64 1/4 (*.f64 (*.f64 x x) 1/36)))) (+.f64 1/2 (*.f64 1/6 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (*.f64 (*.f64 x x) (+.f64 1/8 (*.f64 -1/216 (pow.f64 x 3))))) (+.f64 (*.f64 (*.f64 x x) 1/36) (-.f64 1/4 (*.f64 -1/12 x))))))) (#(struct:change #<rule 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simplify156.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
1218×associate-*r*
1138×associate-/l*
1074×associate-*l*
628×*-commutative
502×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
072318720
1204517844
Stop Event
1×node limit
Counts
346 → 480
Calls
Call 1
Inputs
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))
(*.f64 -1/6 (pow.f64 x 3))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))
(*.f64 -1/6 (pow.f64 x 3))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))
1/2
(+.f64 1/2 (*.f64 -1/6 x))
(+.f64 1/2 (*.f64 -1/6 x))
(+.f64 1/2 (*.f64 -1/6 x))
(*.f64 -1/6 x)
(+.f64 1/2 (*.f64 -1/6 x))
(+.f64 1/2 (*.f64 -1/6 x))
(+.f64 1/2 (*.f64 -1/6 x))
(*.f64 -1/6 x)
(+.f64 1/2 (*.f64 -1/6 x))
(+.f64 1/2 (*.f64 -1/6 x))
(+.f64 1/2 (*.f64 -1/6 x))
(*.f64 -1 x)
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(*.f64 -1/6 (pow.f64 x 3))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(*.f64 -1/6 (pow.f64 x 3))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x -1/6))) 1)
(pow.f64 (*.f64 x -1/6) 1)
(pow.f64 (sqrt.f64 (*.f64 x -1/6)) 2)
(pow.f64 (cbrt.f64 (*.f64 x -1/6)) 3)
(pow.f64 (*.f64 -1/216 (pow.f64 x 3)) 1/3)
(sqrt.f64 (*.f64 (*.f64 x x) 1/36))
(log.f64 (pow.f64 (exp.f64 x) -1/6))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x -1/6))))
(cbrt.f64 (*.f64 -1/216 (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x -1/6)))
(exp.f64 (log.f64 (*.f64 x -1/6)))
(exp.f64 (*.f64 (log.f64 (*.f64 x -1/6)) 1))
(log1p.f64 (expm1.f64 (*.f64 x -1/6)))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 x (*.f64 x 1/2)))
(+.f64 (*.f64 x (*.f64 x 1/2)) (*.f64 -1/6 (pow.f64 x 3)))
(+.f64 (*.f64 (*.f64 x (*.f64 x 1/2)) 1) (*.f64 (*.f64 -1/6 (pow.f64 x 3)) 1))
(+.f64 (*.f64 (*.f64 -1/6 (pow.f64 x 3)) 1) (*.f64 (*.f64 x (*.f64 x 1/2)) 1))
(+.f64 (*.f64 x (*.f64 1/2 x)) (*.f64 x (*.f64 (*.f64 x -1/6) x)))
(+.f64 (*.f64 x (*.f64 (*.f64 x -1/6) x)) (*.f64 x (*.f64 1/2 x)))
(+.f64 (*.f64 1 (*.f64 (*.f64 x (*.f64 x 1/2)) 1)) (*.f64 1 (*.f64 (*.f64 -1/6 (pow.f64 x 3)) 1)))
(+.f64 (*.f64 (*.f64 x 1/2) x) (*.f64 (*.f64 x (*.f64 x -1/6)) x))
(+.f64 (*.f64 (*.f64 x (*.f64 x -1/6)) x) (*.f64 (*.f64 x 1/2) x))
(+.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x 1/2)) 1) 1) (*.f64 (*.f64 (*.f64 -1/6 (pow.f64 x 3)) 1) 1))
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(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/6))) 3) (pow.f64 x 3)) (*.f64 (cbrt.f64 (+.f64 (*.f64 (pow.f64 (+.f64 1/2 (*.f64 x -1/6)) 2) (pow.f64 x 4)) (*.f64 x (fma.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/6)) x)))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 (+.f64 1/2 (*.f64 x -1/6)) 2) (pow.f64 x 4)) (*.f64 x (fma.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/6)) x)))))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 (+.f64 1/2 (*.f64 x -1/6)) 2) (pow.f64 x 4)) (*.f64 x (fma.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/6)) x)))))
(pow.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/6))) x) 1)
(pow.f64 (sqrt.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/6))) x)) 2)
(pow.f64 (cbrt.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/6))) x)) 3)
(pow.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/6))) x) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/6))) x) 2))
(log.f64 (exp.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/6))) x)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/6))) x))))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/6))) x) 3))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/6))) x)))
(exp.f64 (log.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/6))) x)))
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/6))) x)) 1))
(log1p.f64 (expm1.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/6))) x)))
(fma.f64 x (*.f64 x (+.f64 1/2 (*.f64 x -1/6))) (neg.f64 x))
(fma.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/6)) (neg.f64 x))
(fma.f64 (+.f64 1/2 (*.f64 x -1/6)) (*.f64 x x) (neg.f64 x))
(fma.f64 1 (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/6))) (neg.f64 x))
(fma.f64 (*.f64 x (sqrt.f64 (+.f64 1/2 (*.f64 x -1/6)))) (*.f64 x (sqrt.f64 (+.f64 1/2 (*.f64 x -1/6)))) (neg.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/6)))) 2) (cbrt.f64 (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/6)))) (neg.f64 x))
Outputs
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 1/2 (pow.f64 x 2))
(*.f64 x (*.f64 x 1/2))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 -1/6 (pow.f64 x 3) (*.f64 x (*.f64 x 1/2)))
(*.f64 x (*.f64 x (fma.f64 -1/6 x 1/2)))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 -1/6 (pow.f64 x 3) (*.f64 x (*.f64 x 1/2)))
(*.f64 x (*.f64 x (fma.f64 -1/6 x 1/2)))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 -1/6 (pow.f64 x 3) (*.f64 x (*.f64 x 1/2)))
(*.f64 x (*.f64 x (fma.f64 -1/6 x 1/2)))
(*.f64 -1/6 (pow.f64 x 3))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 -1/6 (pow.f64 x 3) (*.f64 x (*.f64 x 1/2)))
(*.f64 x (*.f64 x (fma.f64 -1/6 x 1/2)))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 -1/6 (pow.f64 x 3) (*.f64 x (*.f64 x 1/2)))
(*.f64 x (*.f64 x (fma.f64 -1/6 x 1/2)))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 -1/6 (pow.f64 x 3) (*.f64 x (*.f64 x 1/2)))
(*.f64 x (*.f64 x (fma.f64 -1/6 x 1/2)))
(*.f64 -1/6 (pow.f64 x 3))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 -1/6 (pow.f64 x 3) (*.f64 x (*.f64 x 1/2)))
(*.f64 x (*.f64 x (fma.f64 -1/6 x 1/2)))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 -1/6 (pow.f64 x 3) (*.f64 x (*.f64 x 1/2)))
(*.f64 x (*.f64 x (fma.f64 -1/6 x 1/2)))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 -1/6 (pow.f64 x 3) (*.f64 x (*.f64 x 1/2)))
(*.f64 x (*.f64 x (fma.f64 -1/6 x 1/2)))
1/2
(+.f64 1/2 (*.f64 -1/6 x))
(fma.f64 -1/6 x 1/2)
(+.f64 1/2 (*.f64 -1/6 x))
(fma.f64 -1/6 x 1/2)
(+.f64 1/2 (*.f64 -1/6 x))
(fma.f64 -1/6 x 1/2)
(*.f64 -1/6 x)
(+.f64 1/2 (*.f64 -1/6 x))
(fma.f64 -1/6 x 1/2)
(+.f64 1/2 (*.f64 -1/6 x))
(fma.f64 -1/6 x 1/2)
(+.f64 1/2 (*.f64 -1/6 x))
(fma.f64 -1/6 x 1/2)
(*.f64 -1/6 x)
(+.f64 1/2 (*.f64 -1/6 x))
(fma.f64 -1/6 x 1/2)
(+.f64 1/2 (*.f64 -1/6 x))
(fma.f64 -1/6 x 1/2)
(+.f64 1/2 (*.f64 -1/6 x))
(fma.f64 -1/6 x 1/2)
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))
(-.f64 (*.f64 x (*.f64 x 1/2)) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(-.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 x (*.f64 x 1/2))) x)
(-.f64 (*.f64 x (*.f64 x (fma.f64 -1/6 x 1/2))) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(-.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 x (*.f64 x 1/2))) x)
(-.f64 (*.f64 x (*.f64 x (fma.f64 -1/6 x 1/2))) x)
(*.f64 -1/6 (pow.f64 x 3))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 -1/6 (pow.f64 x 3) (*.f64 x (*.f64 x 1/2)))
(*.f64 x (*.f64 x (fma.f64 -1/6 x 1/2)))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(-.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 x (*.f64 x 1/2))) x)
(-.f64 (*.f64 x (*.f64 x (fma.f64 -1/6 x 1/2))) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(-.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 x (*.f64 x 1/2))) x)
(-.f64 (*.f64 x (*.f64 x (fma.f64 -1/6 x 1/2))) x)
(*.f64 -1/6 (pow.f64 x 3))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 -1/6 (pow.f64 x 3) (*.f64 x (*.f64 x 1/2)))
(*.f64 x (*.f64 x (fma.f64 -1/6 x 1/2)))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(-.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 x (*.f64 x 1/2))) x)
(-.f64 (*.f64 x (*.f64 x (fma.f64 -1/6 x 1/2))) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(-.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 x (*.f64 x 1/2))) x)
(-.f64 (*.f64 x (*.f64 x (fma.f64 -1/6 x 1/2))) x)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x -1/6))) 1)
(*.f64 -1/6 x)
(pow.f64 (*.f64 x -1/6) 1)
(*.f64 -1/6 x)
(pow.f64 (sqrt.f64 (*.f64 x -1/6)) 2)
(pow.f64 (sqrt.f64 (*.f64 -1/6 x)) 2)
(pow.f64 (cbrt.f64 (*.f64 x -1/6)) 3)
(*.f64 -1/6 x)
(pow.f64 (*.f64 -1/216 (pow.f64 x 3)) 1/3)
(cbrt.f64 (*.f64 (pow.f64 x 3) -1/216))
(sqrt.f64 (*.f64 (*.f64 x x) 1/36))
(sqrt.f64 (*.f64 x (*.f64 x 1/36)))
(log.f64 (pow.f64 (exp.f64 x) -1/6))
(*.f64 -1/6 (log.f64 (exp.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x -1/6))))
(*.f64 -1/6 x)
(cbrt.f64 (*.f64 -1/216 (pow.f64 x 3)))
(cbrt.f64 (*.f64 (pow.f64 x 3) -1/216))
(expm1.f64 (log1p.f64 (*.f64 x -1/6)))
(*.f64 -1/6 x)
(exp.f64 (log.f64 (*.f64 x -1/6)))
(*.f64 -1/6 x)
(exp.f64 (*.f64 (log.f64 (*.f64 x -1/6)) 1))
(*.f64 -1/6 x)
(log1p.f64 (expm1.f64 (*.f64 x -1/6)))
(*.f64 -1/6 x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 x (*.f64 x 1/2)))
(fma.f64 -1/6 (pow.f64 x 3) (*.f64 x (*.f64 x 1/2)))
(*.f64 x (*.f64 x (fma.f64 -1/6 x 1/2)))
(+.f64 (*.f64 x (*.f64 x 1/2)) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 -1/6 (pow.f64 x 3) (*.f64 x (*.f64 x 1/2)))
(*.f64 x (*.f64 x (fma.f64 -1/6 x 1/2)))
(+.f64 (*.f64 (*.f64 x (*.f64 x 1/2)) 1) (*.f64 (*.f64 -1/6 (pow.f64 x 3)) 1))
(fma.f64 -1/6 (pow.f64 x 3) (*.f64 x (*.f64 x 1/2)))
(*.f64 x (*.f64 x (fma.f64 -1/6 x 1/2)))
(+.f64 (*.f64 (*.f64 -1/6 (pow.f64 x 3)) 1) (*.f64 (*.f64 x (*.f64 x 1/2)) 1))
(fma.f64 -1/6 (pow.f64 x 3) (*.f64 x (*.f64 x 1/2)))
(*.f64 x (*.f64 x (fma.f64 -1/6 x 1/2)))
(+.f64 (*.f64 x (*.f64 1/2 x)) (*.f64 x (*.f64 (*.f64 x -1/6) x)))
(fma.f64 -1/6 (pow.f64 x 3) (*.f64 x (*.f64 x 1/2)))
(*.f64 x (*.f64 x (fma.f64 -1/6 x 1/2)))
(+.f64 (*.f64 x (*.f64 (*.f64 x -1/6) x)) (*.f64 x (*.f64 1/2 x)))
(fma.f64 -1/6 (pow.f64 x 3) (*.f64 x (*.f64 x 1/2)))
(*.f64 x (*.f64 x (fma.f64 -1/6 x 1/2)))
(+.f64 (*.f64 1 (*.f64 (*.f64 x (*.f64 x 1/2)) 1)) (*.f64 1 (*.f64 (*.f64 -1/6 (pow.f64 x 3)) 1)))
(fma.f64 -1/6 (pow.f64 x 3) (*.f64 x (*.f64 x 1/2)))
(*.f64 x (*.f64 x (fma.f64 -1/6 x 1/2)))
(+.f64 (*.f64 (*.f64 x 1/2) x) (*.f64 (*.f64 x (*.f64 x -1/6)) x))
(fma.f64 -1/6 (pow.f64 x 3) (*.f64 x (*.f64 x 1/2)))
(*.f64 x (*.f64 x (fma.f64 -1/6 x 1/2)))
(+.f64 (*.f64 (*.f64 x (*.f64 x -1/6)) x) (*.f64 (*.f64 x 1/2) x))
(fma.f64 -1/6 (pow.f64 x 3) (*.f64 x (*.f64 x 1/2)))
(*.f64 x (*.f64 x (fma.f64 -1/6 x 1/2)))
(+.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x 1/2)) 1) 1) (*.f64 (*.f64 (*.f64 -1/6 (pow.f64 x 3)) 1) 1))
(fma.f64 -1/6 (pow.f64 x 3) (*.f64 x (*.f64 x 1/2)))
(*.f64 x (*.f64 x (fma.f64 -1/6 x 1/2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/6))))) 1)
(fma.f64 -1/6 (pow.f64 x 3) (*.f64 x (*.f64 x 1/2)))
(*.f64 x (*.f64 x (fma.f64 -1/6 x 1/2)))
(/.f64 (*.f64 x x) (/.f64 1 (+.f64 1/2 (*.f64 x -1/6))))
(fma.f64 -1/6 (pow.f64 x 3) (*.f64 x (*.f64 x 1/2)))
(*.f64 x (*.f64 x (fma.f64 -1/6 x 1/2)))
(/.f64 (-.f64 1/4 (*.f64 (*.f64 x x) 1/36)) (/.f64 (+.f64 1/2 (*.f64 1/6 x)) (*.f64 x x)))
(*.f64 (/.f64 (-.f64 1/4 (*.f64 x (*.f64 x 1/36))) (+.f64 1/2 (*.f64 x 1/6))) (*.f64 x x))
(*.f64 (*.f64 x x) (/.f64 (-.f64 1/4 (*.f64 x (*.f64 x 1/36))) (+.f64 1/2 (*.f64 x 1/6))))
(/.f64 (+.f64 1/8 (*.f64 -1/216 (pow.f64 x 3))) (/.f64 (+.f64 (*.f64 (*.f64 x x) 1/36) (-.f64 1/4 (*.f64 -1/12 x))) (*.f64 x x)))
(*.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 3) -1/216) 1/8) (fma.f64 (*.f64 x x) 1/36 (+.f64 1/4 (*.f64 1/12 x)))) (*.f64 x x))
(*.f64 (*.f64 x x) (/.f64 (+.f64 (*.f64 (pow.f64 x 3) -1/216) 1/8) (+.f64 1/4 (*.f64 x (-.f64 (*.f64 x 1/36) -1/12)))))
(/.f64 (*.f64 (*.f64 x x) (-.f64 1/4 (*.f64 (*.f64 x x) 1/36))) (+.f64 1/2 (*.f64 1/6 x)))
(*.f64 (/.f64 (-.f64 1/4 (*.f64 x (*.f64 x 1/36))) (+.f64 1/2 (*.f64 x 1/6))) (*.f64 x x))
(*.f64 (*.f64 x x) (/.f64 (-.f64 1/4 (*.f64 x (*.f64 x 1/36))) (+.f64 1/2 (*.f64 x 1/6))))
(/.f64 (*.f64 (*.f64 x x) (+.f64 1/8 (*.f64 -1/216 (pow.f64 x 3)))) (+.f64 (*.f64 (*.f64 x x) 1/36) (-.f64 1/4 (*.f64 -1/12 x))))
(*.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 3) -1/216) 1/8) (fma.f64 (*.f64 x x) 1/36 (+.f64 1/4 (*.f64 1/12 x)))) (*.f64 x x))
(*.f64 (*.f64 x x) (/.f64 (+.f64 (*.f64 (pow.f64 x 3) -1/216) 1/8) (+.f64 1/4 (*.f64 x (-.f64 (*.f64 x 1/36) -1/12)))))
(/.f64 (*.f64 (-.f64 1/4 (*.f64 (*.f64 x x) 1/36)) (*.f64 x x)) (+.f64 1/2 (*.f64 1/6 x)))
(*.f64 (/.f64 (-.f64 1/4 (*.f64 x (*.f64 x 1/36))) (+.f64 1/2 (*.f64 x 1/6))) (*.f64 x x))
(*.f64 (*.f64 x x) (/.f64 (-.f64 1/4 (*.f64 x (*.f64 x 1/36))) (+.f64 1/2 (*.f64 x 1/6))))
(/.f64 (*.f64 (+.f64 1/8 (*.f64 -1/216 (pow.f64 x 3))) (*.f64 x x)) (+.f64 (*.f64 (*.f64 x x) 1/36) (-.f64 1/4 (*.f64 -1/12 x))))
(*.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 3) -1/216) 1/8) (fma.f64 (*.f64 x x) 1/36 (+.f64 1/4 (*.f64 1/12 x)))) (*.f64 x x))
(*.f64 (*.f64 x x) (/.f64 (+.f64 (*.f64 (pow.f64 x 3) -1/216) 1/8) (+.f64 1/4 (*.f64 x (-.f64 (*.f64 x 1/36) -1/12)))))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x 1/2)) (*.f64 x (*.f64 x 1/2))) (*.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 -1/6 (pow.f64 x 3)))) (-.f64 (*.f64 x (*.f64 x 1/2)) (*.f64 -1/6 (pow.f64 x 3))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x 1/2) (*.f64 x 1/2))) (*.f64 1/36 (pow.f64 (*.f64 x x) 3))) (+.f64 (*.f64 x (*.f64 x 1/2)) (*.f64 1/6 (pow.f64 x 3))))
(/.f64 (+.f64 (*.f64 x (*.f64 1/2 (*.f64 1/2 (pow.f64 x 3)))) (*.f64 -1/36 (pow.f64 (*.f64 x x) 3))) (fma.f64 x (*.f64 x 1/2) (*.f64 (pow.f64 x 3) 1/6)))
(/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x 1/2)) 3) (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3)) (+.f64 (*.f64 (*.f64 x (*.f64 x 1/2)) (*.f64 x (*.f64 x 1/2))) (-.f64 (*.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 -1/6 (pow.f64 x 3))) (*.f64 (*.f64 x (*.f64 x 1/2)) (*.f64 -1/6 (pow.f64 x 3))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x 1/2)) 3) (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3)) (fma.f64 (*.f64 x (*.f64 x 1/2)) (*.f64 x (*.f64 x 1/2)) (*.f64 (*.f64 -1/6 (pow.f64 x 3)) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 x (*.f64 x 1/2))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x 1/2)) 3) (*.f64 -1/216 (pow.f64 (pow.f64 x 3) 3))) (+.f64 (*.f64 x (*.f64 1/2 (*.f64 1/2 (pow.f64 x 3)))) (*.f64 (pow.f64 x 3) (-.f64 (*.f64 (pow.f64 x 3) 1/36) (*.f64 x (*.f64 x -1/12))))))
(/.f64 (*.f64 x (*.f64 x (-.f64 1/4 (*.f64 (*.f64 x x) 1/36)))) (+.f64 1/2 (*.f64 1/6 x)))
(*.f64 (/.f64 (-.f64 1/4 (*.f64 x (*.f64 x 1/36))) (+.f64 1/2 (*.f64 x 1/6))) (*.f64 x x))
(*.f64 (*.f64 x x) (/.f64 (-.f64 1/4 (*.f64 x (*.f64 x 1/36))) (+.f64 1/2 (*.f64 x 1/6))))
(/.f64 (*.f64 x (*.f64 x (+.f64 1/8 (*.f64 -1/216 (pow.f64 x 3))))) (+.f64 (*.f64 (*.f64 x x) 1/36) (-.f64 1/4 (*.f64 -1/12 x))))
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(*.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 x (*.f64 x (fma.f64 -1/6 x 1/2))) 3) 3) (pow.f64 (pow.f64 x 3) 3)) (+.f64 (pow.f64 (*.f64 x (*.f64 x (fma.f64 -1/6 x 1/2))) 6) (+.f64 (pow.f64 (*.f64 x x) 3) (*.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (fma.f64 -1/6 x 1/2) 3))))) (/.f64 1 (fma.f64 (pow.f64 (fma.f64 -1/6 x 1/2) 2) (pow.f64 x 4) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 -1/6 x 1/2) x)))))
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 1/2 (*.f64 x -1/6)) 2) (pow.f64 x 4)) (*.f64 x x)) 1) (fma.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/6)) x))
(/.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 -1/6 x 1/2) 2) (pow.f64 x 4)) (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 -1/6 x 1/2) x))
(/.f64 (fma.f64 (pow.f64 (fma.f64 -1/6 x 1/2) 2) (pow.f64 x 4) (*.f64 x (neg.f64 x))) (fma.f64 (*.f64 x x) (fma.f64 -1/6 x 1/2) x))
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 1/2 (*.f64 x -1/6)) 2) (pow.f64 x 4)) (*.f64 x x)) (sqrt.f64 (fma.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/6)) x))) (sqrt.f64 (fma.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/6)) x)))
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 -1/6 x 1/2) 2) (pow.f64 x 4)) (*.f64 x x)) (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 -1/6 x 1/2) x))) (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 -1/6 x 1/2) x)))
(/.f64 (/.f64 (fma.f64 (pow.f64 (fma.f64 -1/6 x 1/2) 2) (pow.f64 x 4) (*.f64 x (neg.f64 x))) (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 -1/6 x 1/2) x))) (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 -1/6 x 1/2) x)))
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 1/2 (*.f64 x -1/6)) 2) (pow.f64 x 4)) (*.f64 x x)) (*.f64 (cbrt.f64 (fma.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/6)) x)) (cbrt.f64 (fma.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/6)) x)))) (cbrt.f64 (fma.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/6)) x)))
(/.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 -1/6 x 1/2) 2) (pow.f64 x 4)) (*.f64 x x)) (*.f64 (cbrt.f64 (fma.f64 (*.f64 x x) (fma.f64 -1/6 x 1/2) x)) (*.f64 (cbrt.f64 (fma.f64 (*.f64 x x) (fma.f64 -1/6 x 1/2) x)) (cbrt.f64 (fma.f64 (*.f64 x x) (fma.f64 -1/6 x 1/2) x)))))
(/.f64 (fma.f64 (pow.f64 (fma.f64 -1/6 x 1/2) 2) (pow.f64 x 4) (*.f64 x (neg.f64 x))) (*.f64 (cbrt.f64 (fma.f64 (*.f64 x x) (fma.f64 -1/6 x 1/2) x)) (*.f64 (cbrt.f64 (fma.f64 (*.f64 x x) (fma.f64 -1/6 x 1/2) x)) (cbrt.f64 (fma.f64 (*.f64 x x) (fma.f64 -1/6 x 1/2) x)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/6))) 3) (pow.f64 x 3)) 1) (+.f64 (*.f64 (pow.f64 (+.f64 1/2 (*.f64 x -1/6)) 2) (pow.f64 x 4)) (*.f64 x (fma.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/6)) x))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (*.f64 x (fma.f64 -1/6 x 1/2))) 3) (pow.f64 x 3)) (fma.f64 (pow.f64 (fma.f64 -1/6 x 1/2) 2) (pow.f64 x 4) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 -1/6 x 1/2) x))))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/6))) 3) (pow.f64 x 3)) (sqrt.f64 (+.f64 (*.f64 (pow.f64 (+.f64 1/2 (*.f64 x -1/6)) 2) (pow.f64 x 4)) (*.f64 x (fma.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/6)) x))))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 (+.f64 1/2 (*.f64 x -1/6)) 2) (pow.f64 x 4)) (*.f64 x (fma.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/6)) x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (*.f64 x (fma.f64 -1/6 x 1/2))) 3) (pow.f64 x 3)) (*.f64 (sqrt.f64 (fma.f64 (pow.f64 (fma.f64 -1/6 x 1/2) 2) (pow.f64 x 4) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 -1/6 x 1/2) x)))) (sqrt.f64 (fma.f64 (pow.f64 (fma.f64 -1/6 x 1/2) 2) (pow.f64 x 4) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 -1/6 x 1/2) x))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/6))) 3) (pow.f64 x 3)) (*.f64 (cbrt.f64 (+.f64 (*.f64 (pow.f64 (+.f64 1/2 (*.f64 x -1/6)) 2) (pow.f64 x 4)) (*.f64 x (fma.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/6)) x)))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 (+.f64 1/2 (*.f64 x -1/6)) 2) (pow.f64 x 4)) (*.f64 x (fma.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/6)) x)))))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 (+.f64 1/2 (*.f64 x -1/6)) 2) (pow.f64 x 4)) (*.f64 x (fma.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/6)) x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (*.f64 x (fma.f64 -1/6 x 1/2))) 3) (pow.f64 x 3)) (*.f64 (cbrt.f64 (fma.f64 (pow.f64 (fma.f64 -1/6 x 1/2) 2) (pow.f64 x 4) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 -1/6 x 1/2) x)))) (*.f64 (cbrt.f64 (fma.f64 (pow.f64 (fma.f64 -1/6 x 1/2) 2) (pow.f64 x 4) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 -1/6 x 1/2) x)))) (cbrt.f64 (fma.f64 (pow.f64 (fma.f64 -1/6 x 1/2) 2) (pow.f64 x 4) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 -1/6 x 1/2) x)))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (*.f64 x (fma.f64 -1/6 x 1/2))) 3) (pow.f64 x 3)) (cbrt.f64 (fma.f64 (pow.f64 (fma.f64 -1/6 x 1/2) 2) (pow.f64 x 4) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 -1/6 x 1/2) x))))) (*.f64 (cbrt.f64 (fma.f64 (pow.f64 (fma.f64 -1/6 x 1/2) 2) (pow.f64 x 4) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 -1/6 x 1/2) x)))) (cbrt.f64 (fma.f64 (pow.f64 (fma.f64 -1/6 x 1/2) 2) (pow.f64 x 4) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 -1/6 x 1/2) x))))))
(pow.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/6))) x) 1)
(-.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 x (*.f64 x 1/2))) x)
(-.f64 (*.f64 x (*.f64 x (fma.f64 -1/6 x 1/2))) x)
(pow.f64 (sqrt.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/6))) x)) 2)
(-.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 x (*.f64 x 1/2))) x)
(-.f64 (*.f64 x (*.f64 x (fma.f64 -1/6 x 1/2))) x)
(pow.f64 (cbrt.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/6))) x)) 3)
(-.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 x (*.f64 x 1/2))) x)
(-.f64 (*.f64 x (*.f64 x (fma.f64 -1/6 x 1/2))) x)
(pow.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/6))) x) 3) 1/3)
(-.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 x (*.f64 x 1/2))) x)
(-.f64 (*.f64 x (*.f64 x (fma.f64 -1/6 x 1/2))) x)
(sqrt.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/6))) x) 2))
(sqrt.f64 (pow.f64 (fma.f64 x (*.f64 x (fma.f64 -1/6 x 1/2)) (neg.f64 x)) 2))
(sqrt.f64 (pow.f64 (-.f64 (*.f64 x (*.f64 x (fma.f64 -1/6 x 1/2))) x) 2))
(log.f64 (exp.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/6))) x)))
(-.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 x (*.f64 x 1/2))) x)
(-.f64 (*.f64 x (*.f64 x (fma.f64 -1/6 x 1/2))) x)
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/6))) x))))
(-.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 x (*.f64 x 1/2))) x)
(-.f64 (*.f64 x (*.f64 x (fma.f64 -1/6 x 1/2))) x)
(cbrt.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/6))) x) 3))
(-.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 x (*.f64 x 1/2))) x)
(-.f64 (*.f64 x (*.f64 x (fma.f64 -1/6 x 1/2))) x)
(expm1.f64 (log1p.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/6))) x)))
(-.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 x (*.f64 x 1/2))) x)
(-.f64 (*.f64 x (*.f64 x (fma.f64 -1/6 x 1/2))) x)
(exp.f64 (log.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/6))) x)))
(-.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 x (*.f64 x 1/2))) x)
(-.f64 (*.f64 x (*.f64 x (fma.f64 -1/6 x 1/2))) x)
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/6))) x)) 1))
(-.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 x (*.f64 x 1/2))) x)
(-.f64 (*.f64 x (*.f64 x (fma.f64 -1/6 x 1/2))) x)
(log1p.f64 (expm1.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/6))) x)))
(-.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 x (*.f64 x 1/2))) x)
(-.f64 (*.f64 x (*.f64 x (fma.f64 -1/6 x 1/2))) x)
(fma.f64 x (*.f64 x (+.f64 1/2 (*.f64 x -1/6))) (neg.f64 x))
(-.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 x (*.f64 x 1/2))) x)
(-.f64 (*.f64 x (*.f64 x (fma.f64 -1/6 x 1/2))) x)
(fma.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/6)) (neg.f64 x))
(-.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 x (*.f64 x 1/2))) x)
(-.f64 (*.f64 x (*.f64 x (fma.f64 -1/6 x 1/2))) x)
(fma.f64 (+.f64 1/2 (*.f64 x -1/6)) (*.f64 x x) (neg.f64 x))
(-.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 x (*.f64 x 1/2))) x)
(-.f64 (*.f64 x (*.f64 x (fma.f64 -1/6 x 1/2))) x)
(fma.f64 1 (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/6))) (neg.f64 x))
(-.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 x (*.f64 x 1/2))) x)
(-.f64 (*.f64 x (*.f64 x (fma.f64 -1/6 x 1/2))) x)
(fma.f64 (*.f64 x (sqrt.f64 (+.f64 1/2 (*.f64 x -1/6)))) (*.f64 x (sqrt.f64 (+.f64 1/2 (*.f64 x -1/6)))) (neg.f64 x))
(-.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 x (*.f64 x 1/2))) x)
(-.f64 (*.f64 x (*.f64 x (fma.f64 -1/6 x 1/2))) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/6)))) 2) (cbrt.f64 (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/6)))) (neg.f64 x))
(-.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 x (*.f64 x 1/2))) x)
(-.f64 (*.f64 x (*.f64 x (fma.f64 -1/6 x 1/2))) x)

localize4.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(expm1.f64 (neg.f64 x))
Compiler

Compiled 7 to 3 computations (57.1% saved)

series0.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@0
(expm1.f64 (neg.f64 x))
0.0ms
x
@inf
(expm1.f64 (neg.f64 x))
0.0ms
x
@-inf
(expm1.f64 (neg.f64 x))

rewrite49.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
1046×associate-*r*
770×add-sqr-sqrt
758×*-un-lft-identity
720×pow1
706×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
059
1995
212045
Stop Event
1×node limit
Counts
1 → 36
Calls
Call 1
Inputs
(expm1.f64 (neg.f64 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (neg.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (expm1.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (expm1.f64 (neg.f64 x))) (sqrt.f64 (expm1.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (expm1.f64 (neg.f64 x))) (pow.f64 (cbrt.f64 (expm1.f64 (neg.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (expm1.f64 (neg.f64 x))) 2) (cbrt.f64 (expm1.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (expm1.f64 (neg.f64 x)))) (*.f64 (sqrt.f64 (cbrt.f64 (expm1.f64 (neg.f64 x)))) (pow.f64 (cbrt.f64 (expm1.f64 (neg.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sqrt.f64 (expm1.f64 (neg.f64 x)))) (*.f64 (sqrt.f64 (sqrt.f64 (expm1.f64 (neg.f64 x)))) (sqrt.f64 (expm1.f64 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (neg.f64 x))) 2)) (*.f64 (sqrt.f64 (cbrt.f64 (expm1.f64 (neg.f64 x)))) (sqrt.f64 (expm1.f64 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (neg.f64 x))) 2)) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (neg.f64 x))) 2)) (cbrt.f64 (expm1.f64 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (neg.f64 x)))) (cbrt.f64 (cbrt.f64 (expm1.f64 (neg.f64 x))))) (*.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (neg.f64 x)))) (pow.f64 (cbrt.f64 (expm1.f64 (neg.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (expm1.f64 (neg.f64 x)))) (*.f64 (cbrt.f64 (sqrt.f64 (expm1.f64 (neg.f64 x)))) (pow.f64 (cbrt.f64 (expm1.f64 (neg.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (neg.f64 x))) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (neg.f64 x)))) (pow.f64 (cbrt.f64 (expm1.f64 (neg.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (neg.f64 x))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (neg.f64 x))) 2))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (neg.f64 x))) 2)) (cbrt.f64 (expm1.f64 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (expm1.f64 (neg.f64 x))) (sqrt.f64 (sqrt.f64 (expm1.f64 (neg.f64 x))))) (sqrt.f64 (sqrt.f64 (expm1.f64 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (expm1.f64 (neg.f64 x))) (cbrt.f64 (expm1.f64 (neg.f64 x)))) (cbrt.f64 (sqrt.f64 (expm1.f64 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (expm1.f64 (neg.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (neg.f64 x))) 2))) (sqrt.f64 (cbrt.f64 (expm1.f64 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (expm1.f64 (neg.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (neg.f64 x))) 2))) (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (neg.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (expm1.f64 (neg.f64 x))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (neg.f64 x))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (neg.f64 x))) 2)))) (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (neg.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (neg.f64 x))) 2) (sqrt.f64 (cbrt.f64 (expm1.f64 (neg.f64 x))))) (sqrt.f64 (cbrt.f64 (expm1.f64 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (neg.f64 x))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (neg.f64 x)))) (cbrt.f64 (cbrt.f64 (expm1.f64 (neg.f64 x)))))) (cbrt.f64 (cbrt.f64 (expm1.f64 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (neg.f64 x))) 2) (cbrt.f64 (sqrt.f64 (expm1.f64 (neg.f64 x))))) (cbrt.f64 (sqrt.f64 (expm1.f64 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (neg.f64 x))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (neg.f64 x))) 2))) (cbrt.f64 (cbrt.f64 (expm1.f64 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 x) (exp.f64 x)) 1) (+.f64 1 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 x) 3) 1) (+.f64 (*.f64 (exp.f64 x) (exp.f64 x)) (+.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (expm1.f64 (neg.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (expm1.f64 (neg.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (expm1.f64 (neg.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (expm1.f64 (neg.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (expm1.f64 (neg.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (expm1.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (expm1.f64 (neg.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (expm1.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (expm1.f64 (neg.f64 x))))))))

simplify53.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
1540×associate-*r*
1338×associate-*l*
1082×distribute-lft-in
1062×distribute-rgt-in
782×associate-+r+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0106932
1247914
2776874
34478874
Stop Event
1×node limit
Counts
48 → 71
Calls
Call 1
Inputs
(*.f64 -1 x)
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/24 (pow.f64 x 4)) (*.f64 -1 x))))
(-.f64 (exp.f64 (neg.f64 x)) 1)
(-.f64 (exp.f64 (neg.f64 x)) 1)
(-.f64 (exp.f64 (neg.f64 x)) 1)
(-.f64 (exp.f64 (neg.f64 x)) 1)
(-.f64 (exp.f64 (*.f64 -1 x)) 1)
(-.f64 (exp.f64 (*.f64 -1 x)) 1)
(-.f64 (exp.f64 (*.f64 -1 x)) 1)
(-.f64 (exp.f64 (*.f64 -1 x)) 1)
(+.f64 (exp.f64 x) -1)
(+.f64 -1 (exp.f64 x))
(-.f64 (exp.f64 x) 1)
(*.f64 (expm1.f64 (neg.f64 x)) 1)
(*.f64 1 (expm1.f64 (neg.f64 x)))
(*.f64 (sqrt.f64 (expm1.f64 (neg.f64 x))) (sqrt.f64 (expm1.f64 (neg.f64 x))))
(*.f64 (cbrt.f64 (expm1.f64 (neg.f64 x))) (pow.f64 (cbrt.f64 (expm1.f64 (neg.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (neg.f64 x))) 2) (cbrt.f64 (expm1.f64 (neg.f64 x))))
(*.f64 (sqrt.f64 (cbrt.f64 (expm1.f64 (neg.f64 x)))) (*.f64 (sqrt.f64 (cbrt.f64 (expm1.f64 (neg.f64 x)))) (pow.f64 (cbrt.f64 (expm1.f64 (neg.f64 x))) 2)))
(*.f64 (sqrt.f64 (sqrt.f64 (expm1.f64 (neg.f64 x)))) (*.f64 (sqrt.f64 (sqrt.f64 (expm1.f64 (neg.f64 x)))) (sqrt.f64 (expm1.f64 (neg.f64 x)))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (neg.f64 x))) 2)) (*.f64 (sqrt.f64 (cbrt.f64 (expm1.f64 (neg.f64 x)))) (sqrt.f64 (expm1.f64 (neg.f64 x)))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (neg.f64 x))) 2)) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (neg.f64 x))) 2)) (cbrt.f64 (expm1.f64 (neg.f64 x)))))
(*.f64 (*.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (neg.f64 x)))) (cbrt.f64 (cbrt.f64 (expm1.f64 (neg.f64 x))))) (*.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (neg.f64 x)))) (pow.f64 (cbrt.f64 (expm1.f64 (neg.f64 x))) 2)))
(*.f64 (cbrt.f64 (sqrt.f64 (expm1.f64 (neg.f64 x)))) (*.f64 (cbrt.f64 (sqrt.f64 (expm1.f64 (neg.f64 x)))) (pow.f64 (cbrt.f64 (expm1.f64 (neg.f64 x))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (neg.f64 x))) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (neg.f64 x)))) (pow.f64 (cbrt.f64 (expm1.f64 (neg.f64 x))) 2)))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (neg.f64 x))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (neg.f64 x))) 2))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (neg.f64 x))) 2)) (cbrt.f64 (expm1.f64 (neg.f64 x)))))
(*.f64 (*.f64 (sqrt.f64 (expm1.f64 (neg.f64 x))) (sqrt.f64 (sqrt.f64 (expm1.f64 (neg.f64 x))))) (sqrt.f64 (sqrt.f64 (expm1.f64 (neg.f64 x)))))
(*.f64 (*.f64 (sqrt.f64 (expm1.f64 (neg.f64 x))) (cbrt.f64 (expm1.f64 (neg.f64 x)))) (cbrt.f64 (sqrt.f64 (expm1.f64 (neg.f64 x)))))
(*.f64 (*.f64 (sqrt.f64 (expm1.f64 (neg.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (neg.f64 x))) 2))) (sqrt.f64 (cbrt.f64 (expm1.f64 (neg.f64 x)))))
(*.f64 (*.f64 (cbrt.f64 (expm1.f64 (neg.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (neg.f64 x))) 2))) (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (neg.f64 x))) 2)))
(*.f64 (*.f64 (cbrt.f64 (expm1.f64 (neg.f64 x))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (neg.f64 x))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (neg.f64 x))) 2)))) (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (neg.f64 x))) 2)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (neg.f64 x))) 2) (sqrt.f64 (cbrt.f64 (expm1.f64 (neg.f64 x))))) (sqrt.f64 (cbrt.f64 (expm1.f64 (neg.f64 x)))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (neg.f64 x))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (neg.f64 x)))) (cbrt.f64 (cbrt.f64 (expm1.f64 (neg.f64 x)))))) (cbrt.f64 (cbrt.f64 (expm1.f64 (neg.f64 x)))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (neg.f64 x))) 2) (cbrt.f64 (sqrt.f64 (expm1.f64 (neg.f64 x))))) (cbrt.f64 (sqrt.f64 (expm1.f64 (neg.f64 x)))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (neg.f64 x))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (neg.f64 x))) 2))) (cbrt.f64 (cbrt.f64 (expm1.f64 (neg.f64 x)))))
(/.f64 (-.f64 (*.f64 (exp.f64 x) (exp.f64 x)) 1) (+.f64 1 (exp.f64 x)))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) 1) (+.f64 (*.f64 (exp.f64 x) (exp.f64 x)) (+.f64 1 (exp.f64 x))))
(pow.f64 (expm1.f64 (neg.f64 x)) 1)
(pow.f64 (sqrt.f64 (expm1.f64 (neg.f64 x))) 2)
(pow.f64 (cbrt.f64 (expm1.f64 (neg.f64 x))) 3)
(pow.f64 (pow.f64 (expm1.f64 (neg.f64 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (expm1.f64 (neg.f64 x)) 2))
(log.f64 (exp.f64 (expm1.f64 (neg.f64 x))))
(cbrt.f64 (pow.f64 (expm1.f64 (neg.f64 x)) 3))
(exp.f64 (log.f64 (expm1.f64 (neg.f64 x))))
(log1p.f64 (expm1.f64 (expm1.f64 (neg.f64 x))))
Outputs
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))
(fma.f64 1/2 (*.f64 x x) (neg.f64 x))
(-.f64 (*.f64 x (*.f64 x 1/2)) x)
(-.f64 (*.f64 1/2 (*.f64 x x)) x)
(*.f64 x (+.f64 -1 (*.f64 x 1/2)))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(-.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 x (*.f64 x 1/2))) x)
(-.f64 (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/6))) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/24 (pow.f64 x 4)) (*.f64 -1 x))))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 4) (neg.f64 x))))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) (-.f64 (*.f64 1/24 (pow.f64 x 4)) x)))
(fma.f64 x (*.f64 x 1/2) (fma.f64 -1/6 (pow.f64 x 3) (-.f64 (*.f64 1/24 (pow.f64 x 4)) x)))
(-.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 x (*.f64 x 1/2) (*.f64 1/24 (pow.f64 x 4)))) x)
(-.f64 (exp.f64 (neg.f64 x)) 1)
(expm1.f64 (neg.f64 x))
(-.f64 (exp.f64 (neg.f64 x)) 1)
(expm1.f64 (neg.f64 x))
(-.f64 (exp.f64 (neg.f64 x)) 1)
(expm1.f64 (neg.f64 x))
(-.f64 (exp.f64 (neg.f64 x)) 1)
(expm1.f64 (neg.f64 x))
(-.f64 (exp.f64 (*.f64 -1 x)) 1)
(expm1.f64 (neg.f64 x))
(-.f64 (exp.f64 (*.f64 -1 x)) 1)
(expm1.f64 (neg.f64 x))
(-.f64 (exp.f64 (*.f64 -1 x)) 1)
(expm1.f64 (neg.f64 x))
(-.f64 (exp.f64 (*.f64 -1 x)) 1)
(expm1.f64 (neg.f64 x))
(+.f64 (exp.f64 x) -1)
(expm1.f64 x)
(+.f64 -1 (exp.f64 x))
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(*.f64 (expm1.f64 (neg.f64 x)) 1)
(expm1.f64 (neg.f64 x))
(*.f64 1 (expm1.f64 (neg.f64 x)))
(expm1.f64 (neg.f64 x))
(*.f64 (sqrt.f64 (expm1.f64 (neg.f64 x))) (sqrt.f64 (expm1.f64 (neg.f64 x))))
(expm1.f64 (neg.f64 x))
(*.f64 (cbrt.f64 (expm1.f64 (neg.f64 x))) (pow.f64 (cbrt.f64 (expm1.f64 (neg.f64 x))) 2))
(expm1.f64 (neg.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (neg.f64 x))) 2) (cbrt.f64 (expm1.f64 (neg.f64 x))))
(expm1.f64 (neg.f64 x))
(*.f64 (sqrt.f64 (cbrt.f64 (expm1.f64 (neg.f64 x)))) (*.f64 (sqrt.f64 (cbrt.f64 (expm1.f64 (neg.f64 x)))) (pow.f64 (cbrt.f64 (expm1.f64 (neg.f64 x))) 2)))
(expm1.f64 (neg.f64 x))
(*.f64 (sqrt.f64 (sqrt.f64 (expm1.f64 (neg.f64 x)))) (*.f64 (sqrt.f64 (sqrt.f64 (expm1.f64 (neg.f64 x)))) (sqrt.f64 (expm1.f64 (neg.f64 x)))))
(expm1.f64 (neg.f64 x))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (neg.f64 x))) 2)) (*.f64 (sqrt.f64 (cbrt.f64 (expm1.f64 (neg.f64 x)))) (sqrt.f64 (expm1.f64 (neg.f64 x)))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (neg.f64 x))) 2)) (*.f64 (sqrt.f64 (expm1.f64 (neg.f64 x))) (sqrt.f64 (cbrt.f64 (expm1.f64 (neg.f64 x))))))
(*.f64 (sqrt.f64 (cbrt.f64 (expm1.f64 (neg.f64 x)))) (*.f64 (sqrt.f64 (expm1.f64 (neg.f64 x))) (fabs.f64 (cbrt.f64 (expm1.f64 (neg.f64 x))))))
(*.f64 (sqrt.f64 (expm1.f64 (neg.f64 x))) (pow.f64 (sqrt.f64 (cbrt.f64 (expm1.f64 (neg.f64 x)))) 3))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (neg.f64 x))) 2)) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (neg.f64 x))) 2)) (cbrt.f64 (expm1.f64 (neg.f64 x)))))
(expm1.f64 (neg.f64 x))
(*.f64 (*.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (neg.f64 x)))) (cbrt.f64 (cbrt.f64 (expm1.f64 (neg.f64 x))))) (*.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (neg.f64 x)))) (pow.f64 (cbrt.f64 (expm1.f64 (neg.f64 x))) 2)))
(expm1.f64 (neg.f64 x))
(*.f64 (cbrt.f64 (sqrt.f64 (expm1.f64 (neg.f64 x)))) (*.f64 (cbrt.f64 (sqrt.f64 (expm1.f64 (neg.f64 x)))) (pow.f64 (cbrt.f64 (expm1.f64 (neg.f64 x))) 2)))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (neg.f64 x))) 2) (*.f64 (cbrt.f64 (sqrt.f64 (expm1.f64 (neg.f64 x)))) (cbrt.f64 (sqrt.f64 (expm1.f64 (neg.f64 x))))))
(*.f64 (cbrt.f64 (sqrt.f64 (expm1.f64 (neg.f64 x)))) (*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (neg.f64 x))) 2) (cbrt.f64 (sqrt.f64 (expm1.f64 (neg.f64 x))))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (neg.f64 x))) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (neg.f64 x)))) (pow.f64 (cbrt.f64 (expm1.f64 (neg.f64 x))) 2)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (neg.f64 x))) 2) (cbrt.f64 (cbrt.f64 (expm1.f64 (neg.f64 x))))) (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (neg.f64 x))) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (neg.f64 x)))) (*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (neg.f64 x))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (neg.f64 x))) 2))))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (neg.f64 x))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (neg.f64 x)))) (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (neg.f64 x))) 2))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (neg.f64 x))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (neg.f64 x))) 2))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (neg.f64 x))) 2)) (cbrt.f64 (expm1.f64 (neg.f64 x)))))
(expm1.f64 (neg.f64 x))
(*.f64 (*.f64 (sqrt.f64 (expm1.f64 (neg.f64 x))) (sqrt.f64 (sqrt.f64 (expm1.f64 (neg.f64 x))))) (sqrt.f64 (sqrt.f64 (expm1.f64 (neg.f64 x)))))
(expm1.f64 (neg.f64 x))
(*.f64 (*.f64 (sqrt.f64 (expm1.f64 (neg.f64 x))) (cbrt.f64 (expm1.f64 (neg.f64 x)))) (cbrt.f64 (sqrt.f64 (expm1.f64 (neg.f64 x)))))
(*.f64 (sqrt.f64 (expm1.f64 (neg.f64 x))) (*.f64 (cbrt.f64 (expm1.f64 (neg.f64 x))) (cbrt.f64 (sqrt.f64 (expm1.f64 (neg.f64 x))))))
(*.f64 (*.f64 (sqrt.f64 (expm1.f64 (neg.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (neg.f64 x))) 2))) (sqrt.f64 (cbrt.f64 (expm1.f64 (neg.f64 x)))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (neg.f64 x))) 2)) (*.f64 (sqrt.f64 (expm1.f64 (neg.f64 x))) (sqrt.f64 (cbrt.f64 (expm1.f64 (neg.f64 x))))))
(*.f64 (sqrt.f64 (cbrt.f64 (expm1.f64 (neg.f64 x)))) (*.f64 (sqrt.f64 (expm1.f64 (neg.f64 x))) (fabs.f64 (cbrt.f64 (expm1.f64 (neg.f64 x))))))
(*.f64 (sqrt.f64 (expm1.f64 (neg.f64 x))) (pow.f64 (sqrt.f64 (cbrt.f64 (expm1.f64 (neg.f64 x)))) 3))
(*.f64 (*.f64 (cbrt.f64 (expm1.f64 (neg.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (neg.f64 x))) 2))) (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (neg.f64 x))) 2)))
(expm1.f64 (neg.f64 x))
(*.f64 (*.f64 (cbrt.f64 (expm1.f64 (neg.f64 x))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (neg.f64 x))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (neg.f64 x))) 2)))) (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (neg.f64 x))) 2)))
(expm1.f64 (neg.f64 x))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (neg.f64 x))) 2) (sqrt.f64 (cbrt.f64 (expm1.f64 (neg.f64 x))))) (sqrt.f64 (cbrt.f64 (expm1.f64 (neg.f64 x)))))
(expm1.f64 (neg.f64 x))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (neg.f64 x))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (neg.f64 x)))) (cbrt.f64 (cbrt.f64 (expm1.f64 (neg.f64 x)))))) (cbrt.f64 (cbrt.f64 (expm1.f64 (neg.f64 x)))))
(expm1.f64 (neg.f64 x))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (neg.f64 x))) 2) (cbrt.f64 (sqrt.f64 (expm1.f64 (neg.f64 x))))) (cbrt.f64 (sqrt.f64 (expm1.f64 (neg.f64 x)))))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (neg.f64 x))) 2) (*.f64 (cbrt.f64 (sqrt.f64 (expm1.f64 (neg.f64 x)))) (cbrt.f64 (sqrt.f64 (expm1.f64 (neg.f64 x))))))
(*.f64 (cbrt.f64 (sqrt.f64 (expm1.f64 (neg.f64 x)))) (*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (neg.f64 x))) 2) (cbrt.f64 (sqrt.f64 (expm1.f64 (neg.f64 x))))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (neg.f64 x))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (neg.f64 x))) 2))) (cbrt.f64 (cbrt.f64 (expm1.f64 (neg.f64 x)))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (neg.f64 x))) 2) (cbrt.f64 (cbrt.f64 (expm1.f64 (neg.f64 x))))) (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (neg.f64 x))) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (neg.f64 x)))) (*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (neg.f64 x))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (neg.f64 x))) 2))))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (neg.f64 x))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (neg.f64 x)))) (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (neg.f64 x))) 2))))
(/.f64 (-.f64 (*.f64 (exp.f64 x) (exp.f64 x)) 1) (+.f64 1 (exp.f64 x)))
(/.f64 (fma.f64 (exp.f64 x) (exp.f64 x) -1) (+.f64 1 (exp.f64 x)))
(/.f64 (expm1.f64 (+.f64 x x)) (+.f64 1 (exp.f64 x)))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) 1) (+.f64 (*.f64 (exp.f64 x) (exp.f64 x)) (+.f64 1 (exp.f64 x))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 1 (exp.f64 x))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) (+.f64 1 (+.f64 (exp.f64 x) (exp.f64 (+.f64 x x)))))
(/.f64 (expm1.f64 (*.f64 3 x)) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 1 (exp.f64 x))))
(/.f64 (expm1.f64 (*.f64 3 x)) (+.f64 1 (*.f64 (exp.f64 x) (+.f64 1 (exp.f64 x)))))
(pow.f64 (expm1.f64 (neg.f64 x)) 1)
(expm1.f64 (neg.f64 x))
(pow.f64 (sqrt.f64 (expm1.f64 (neg.f64 x))) 2)
(expm1.f64 (neg.f64 x))
(pow.f64 (cbrt.f64 (expm1.f64 (neg.f64 x))) 3)
(expm1.f64 (neg.f64 x))
(pow.f64 (pow.f64 (expm1.f64 (neg.f64 x)) 3) 1/3)
(expm1.f64 (neg.f64 x))
(sqrt.f64 (pow.f64 (expm1.f64 (neg.f64 x)) 2))
(expm1.f64 (neg.f64 x))
(log.f64 (exp.f64 (expm1.f64 (neg.f64 x))))
(expm1.f64 (neg.f64 x))
(cbrt.f64 (pow.f64 (expm1.f64 (neg.f64 x)) 3))
(expm1.f64 (neg.f64 x))
(exp.f64 (log.f64 (expm1.f64 (neg.f64 x))))
(expm1.f64 (neg.f64 x))
(log1p.f64 (expm1.f64 (expm1.f64 (neg.f64 x))))
(expm1.f64 (neg.f64 x))

localize23.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))
0.0b
(*.f64 1/360 (pow.f64 x 6))
0.1b
(*.f64 1/12 (pow.f64 x 4))
Compiler

Compiled 49 to 33 computations (32.7% saved)

eval394.0ms (3.8%)

Compiler

Compiled 19254 to 12742 computations (33.8% saved)

prune150.0ms (1.5%)

Pruning

15 alts after pruning (5 fresh and 10 done)

PrunedKeptTotal
New7222724
Fresh033
Picked011
Done099
Total72215737
Error
0b
Counts
737 → 15
Alt Table
Click to see full alt table
StatusErrorProgram
60.4b
(-.f64 (/.f64 (-.f64 1/4 (*.f64 (*.f64 x x) 1/36)) (/.f64 (+.f64 1/2 (*.f64 1/6 x)) (*.f64 x x))) x)
60.4b
(-.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x -1/6)) x) (*.f64 (*.f64 x 1/2) x)) x)
✓28.2b
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
29.1b
(-.f64 (+.f64 2 (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))) 2)
29.3b
(-.f64 (+.f64 2 (*.f64 x x)) 2)
✓60.4b
(-.f64 (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/6))) x)
✓28.2b
(-.f64 (exp.f64 (neg.f64 x)) (/.f64 (-.f64 4 (exp.f64 (+.f64 x x))) (+.f64 2 (exp.f64 x))))
✓29.4b
(-.f64 (exp.f64 (neg.f64 x)) 1)
✓0.8b
(+.f64 (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4))) (*.f64 1/360 (pow.f64 x 6)))
✓1.0b
(+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))
✓0.8b
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 x x)) (*.f64 1/20160 (pow.f64 x 8))))
✓1.2b
(*.f64 x x)
✓60.4b
(neg.f64 x)
✓60.1b
(expm1.f64 (neg.f64 x))
60.0b
(expm1.f64 x)
Compiler

Compiled 163 to 117 computations (28.2% saved)

regimes22.0ms (0.2%)

Counts
25 → 1
Calls
Call 1
Inputs
(neg.f64 x)
(*.f64 x x)
(-.f64 (+.f64 2 (*.f64 x x)) 2)
(-.f64 (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/6))) x)
(-.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x -1/6)) x) (*.f64 (*.f64 x 1/2) x)) x)
(-.f64 (/.f64 (-.f64 1/4 (*.f64 (*.f64 x x) 1/36)) (/.f64 (+.f64 1/2 (*.f64 1/6 x)) (*.f64 x x))) x)
(expm1.f64 x)
(expm1.f64 (neg.f64 x))
(*.f64 1/360 (pow.f64 x 6))
(*.f64 1/12 (pow.f64 x 4))
(-.f64 (exp.f64 (neg.f64 x)) 1)
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (*.f64 x x))
(+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))
(-.f64 (+.f64 2 (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))) 2)
(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
(+.f64 (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4))) (*.f64 1/360 (pow.f64 x 6)))
(fma.f64 1/360 (pow.f64 x 6) (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4))))
(-.f64 (exp.f64 (neg.f64 x)) (/.f64 (-.f64 4 (exp.f64 (+.f64 x x))) (+.f64 2 (exp.f64 x))))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 x x)) (*.f64 1/20160 (pow.f64 x 8))))
(exp.f64 (log.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))))
(pow.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) 3) 1/3)
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (fma.f64 x x (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))))
Outputs
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 x x)) (*.f64 1/20160 (pow.f64 x 8))))
Calls

2 calls:

11.0ms
x
3.0ms
(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))
Results
ErrorSegmentsBranch
0.8b1x
0.8b1(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))
Compiler

Compiled 272 to 169 computations (37.9% saved)

regimes19.0ms (0.2%)

Counts
20 → 1
Calls
Call 1
Inputs
(neg.f64 x)
(*.f64 x x)
(-.f64 (+.f64 2 (*.f64 x x)) 2)
(-.f64 (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/6))) x)
(-.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x -1/6)) x) (*.f64 (*.f64 x 1/2) x)) x)
(-.f64 (/.f64 (-.f64 1/4 (*.f64 (*.f64 x x) 1/36)) (/.f64 (+.f64 1/2 (*.f64 1/6 x)) (*.f64 x x))) x)
(expm1.f64 x)
(expm1.f64 (neg.f64 x))
(*.f64 1/360 (pow.f64 x 6))
(*.f64 1/12 (pow.f64 x 4))
(-.f64 (exp.f64 (neg.f64 x)) 1)
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (*.f64 x x))
(+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))
(-.f64 (+.f64 2 (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))) 2)
(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
(+.f64 (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4))) (*.f64 1/360 (pow.f64 x 6)))
(fma.f64 1/360 (pow.f64 x 6) (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4))))
(-.f64 (exp.f64 (neg.f64 x)) (/.f64 (-.f64 4 (exp.f64 (+.f64 x x))) (+.f64 2 (exp.f64 x))))
Outputs
(+.f64 (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4))) (*.f64 1/360 (pow.f64 x 6)))
Calls

2 calls:

9.0ms
x
3.0ms
(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))
Results
ErrorSegmentsBranch
0.8b1x
0.8b1(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))
Compiler

Compiled 188 to 110 computations (41.5% saved)

regimes16.0ms (0.2%)

Counts
17 → 1
Calls
Call 1
Inputs
(neg.f64 x)
(*.f64 x x)
(-.f64 (+.f64 2 (*.f64 x x)) 2)
(-.f64 (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/6))) x)
(-.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x -1/6)) x) (*.f64 (*.f64 x 1/2) x)) x)
(-.f64 (/.f64 (-.f64 1/4 (*.f64 (*.f64 x x) 1/36)) (/.f64 (+.f64 1/2 (*.f64 1/6 x)) (*.f64 x x))) x)
(expm1.f64 x)
(expm1.f64 (neg.f64 x))
(*.f64 1/360 (pow.f64 x 6))
(*.f64 1/12 (pow.f64 x 4))
(-.f64 (exp.f64 (neg.f64 x)) 1)
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (*.f64 x x))
(+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))
(-.f64 (+.f64 2 (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))) 2)
(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
Outputs
(+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))
Calls

2 calls:

8.0ms
x
2.0ms
(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))
Results
ErrorSegmentsBranch
1.0b1x
1.0b1(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))
Compiler

Compiled 144 to 83 computations (42.4% saved)

regimes49.0ms (0.5%)

Counts
12 → 1
Calls
Call 1
Inputs
(neg.f64 x)
(*.f64 x x)
(-.f64 (+.f64 2 (*.f64 x x)) 2)
(-.f64 (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/6))) x)
(-.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x -1/6)) x) (*.f64 (*.f64 x 1/2) x)) x)
(-.f64 (/.f64 (-.f64 1/4 (*.f64 (*.f64 x x) 1/36)) (/.f64 (+.f64 1/2 (*.f64 1/6 x)) (*.f64 x x))) x)
(expm1.f64 x)
(expm1.f64 (neg.f64 x))
(*.f64 1/360 (pow.f64 x 6))
(*.f64 1/12 (pow.f64 x 4))
(-.f64 (exp.f64 (neg.f64 x)) 1)
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (*.f64 x x))
Outputs
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (*.f64 x x))
Calls

1 calls:

46.0ms
x
Results
ErrorSegmentsBranch
1.2b1x
Compiler

Compiled 89 to 52 computations (41.6% saved)

regimes9.0ms (0.1%)

Accuracy

Total -59.6b remaining (-4813.9%)

Threshold costs -59.6b (-4813.9%)

Counts
11 → 1
Calls
Call 1
Inputs
(neg.f64 x)
(*.f64 x x)
(-.f64 (+.f64 2 (*.f64 x x)) 2)
(-.f64 (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/6))) x)
(-.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x -1/6)) x) (*.f64 (*.f64 x 1/2) x)) x)
(-.f64 (/.f64 (-.f64 1/4 (*.f64 (*.f64 x x) 1/36)) (/.f64 (+.f64 1/2 (*.f64 1/6 x)) (*.f64 x x))) x)
(expm1.f64 x)
(expm1.f64 (neg.f64 x))
(*.f64 1/360 (pow.f64 x 6))
(*.f64 1/12 (pow.f64 x 4))
(-.f64 (exp.f64 (neg.f64 x)) 1)
Outputs
(*.f64 x x)
Calls

1 calls:

6.0ms
x
Results
ErrorSegmentsBranch
1.2b1x
Compiler

Compiled 80 to 47 computations (41.3% saved)

simplify7.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
12×+-commutative
8×*-commutative
2×sub-neg
2×neg-mul-1
2×neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024166
137166
239166
340166
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 x x)) (*.f64 1/20160 (pow.f64 x 8))))
(+.f64 (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4))) (*.f64 1/360 (pow.f64 x 6)))
(+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (*.f64 x x))
(*.f64 x x)
(neg.f64 x)
Outputs
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 x x)) (*.f64 1/20160 (pow.f64 x 8))))
(+.f64 (+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4))) (*.f64 1/360 (pow.f64 x 6)))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 x x)))
(+.f64 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 x x))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (*.f64 x x))
(*.f64 x x)
(neg.f64 x)
Compiler

Compiled 65 to 47 computations (27.7% saved)

soundness202.0ms (2%)

Algorithm
1×egg-herbie
Rules
1244×fma-def
908×associate-/r*
792×associate-/l*
784×associate-+r-
752×associate-+r+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01025
12225
23725
35925
412725
528925
676325
7172825
8293425
9683825
Stop Event
1×node limit
Compiler

Compiled 121 to 59 computations (51.2% saved)

end43.0ms (0.4%)

Compiler

Compiled 60 to 38 computations (36.7% saved)

Profiling

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