Details

Time bar (total: 9.0s)

analyze91.0ms (1%)

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
25%25%75%0%0%0%0%3
50%50%50%0%0%0%0%4
62.5%62.5%37.5%0%0%0%0%5
68.8%68.7%31.2%0%0%0%0%6
71.9%71.8%28.1%0%0%0%0%7
73.4%73.4%26.5%0%0%0%0%8
74.2%74.2%25.8%0%0%0%0%9
74.6%74.6%25.4%0%0%0%0%10
74.8%74.8%25.2%0%0%0%0%11
74.9%74.9%25.1%0%0%0%0%12
Compiler

Compiled 11 to 8 computations (27.3% saved)

sample2.4s (26.2%)

Results
1.1s2639×body1024valid
548.0ms1212×body2048valid
334.0ms3082×body256valid
310.0ms1273×body512valid
29.0ms50×body4096valid
Bogosity

preprocess6.0ms (0.1%)

Algorithm
2×egg-herbie
Rules
4×+-commutative
2×1-exp
2×hypot-1-def
2×fma-def
Iterations

Useful iterations: 0 (0.0ms)

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

Compiled 11 to 8 computations (27.3% saved)

simplify12.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
4×+-commutative
2×1-exp
2×hypot-1-def
2×fma-def
Iterations

Useful iterations: 1 (0.0ms)

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

eval1.0ms (0%)

Compiler

Compiled 24 to 16 computations (33.3% saved)

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New123
Fresh011
Picked000
Done000
Total134
Error
46.3b
Counts
4 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
▶46.3b
(log.f64 (+.f64 x (hypot.f64 1 x)))
▶53.1b
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
Compiler

Compiled 17 to 12 computations (29.4% saved)

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.4b
(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
✓3.1b
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
✓13.5b
(sqrt.f64 (+.f64 (*.f64 x x) 1))
Compiler

Compiled 34 to 17 computations (50% saved)

series3.0ms (0%)

Counts
3 → 36
Calls

9 calls:

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

rewrite81.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
846×*-commutative
760×associate-*r/
748×unswap-sqr
610×associate-*l/
580×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01055
120837
2275337
Stop Event
1×node limit
Counts
3 → 160
Calls
Call 1
Inputs
(sqrt.f64 (+.f64 (*.f64 x x) 1))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2))) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 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simplify105.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
1152×associate-*r/
1016×+-commutative
926×associate-+l+
772×associate-+r+
438×fma-def
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
04877260
112746624
249666624
Stop Event
1×node limit
Counts
196 → 310
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 1/2 (pow.f64 x 2)))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/8 (pow.f64 x 4))))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/16 (pow.f64 x 6)) (*.f64 -1/8 (pow.f64 x 4)))))
x
(+.f64 (*.f64 1/2 (/.f64 1 x)) x)
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) x) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(*.f64 -1 x)
(-.f64 (*.f64 -1 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 -1 x)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 -1 x)) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/16 (/.f64 1 (pow.f64 x 5)))))
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
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1
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(/.f64 -1/2 x)
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(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3)
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log1p.f64 (+.f64 (hypot.f64 1 x) (-.f64 x 1)))
(-.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (hypot.f64 1 x)))
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(-.f64 (exp.f64 (log1p.f64 (hypot.f64 1 x))) (-.f64 1 x))
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(-.f64 (+.f64 x (exp.f64 (log1p.f64 (hypot.f64 1 x)))) 1)
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(*.f64 (+.f64 x (hypot.f64 1 x)) 1)
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(/.f64 (*.f64 (+.f64 1 (*.f64 x (-.f64 x x))) 1) (-.f64 (hypot.f64 1 x) x))
(/.f64 (*.f64 (neg.f64 (-.f64 (*.f64 x (-.f64 x x)) 1)) 1) (neg.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) 1) (neg.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 x (-.f64 x x)) 1)) (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (cbrt.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 x (-.f64 x x)) 1)) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (cbrt.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (*.f64 (-.f64 (pow.f64 x 4) (pow.f64 (fma.f64 x x 1) 2)) (/.f64 1 (-.f64 x (hypot.f64 1 x)))) (+.f64 (*.f64 x x) (fma.f64 x x 1)))
(/.f64 (*.f64 (-.f64 (pow.f64 x 6) (pow.f64 (fma.f64 x x 1) 3)) (/.f64 1 (-.f64 x (hypot.f64 1 x)))) (+.f64 (pow.f64 x 4) (*.f64 (fma.f64 x x 1) (+.f64 (*.f64 x x) (fma.f64 x x 1)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (hypot.f64 1 x) 3) 3)) (/.f64 1 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))) (+.f64 (pow.f64 x 6) (*.f64 (pow.f64 (hypot.f64 1 x) 3) (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))))
(/.f64 (*.f64 (-.f64 (pow.f64 x 6) (pow.f64 (fma.f64 x x 1) 3)) (/.f64 1 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))) (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))
(/.f64 (/.f64 (-.f64 (*.f64 x (-.f64 x x)) 1) 1) (-.f64 x (hypot.f64 1 x)))
(/.f64 (/.f64 (-.f64 (*.f64 x (-.f64 x x)) 1) (sqrt.f64 (-.f64 x (hypot.f64 1 x)))) (sqrt.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (/.f64 (-.f64 (*.f64 x (-.f64 x x)) 1) (*.f64 (cbrt.f64 (-.f64 x (hypot.f64 1 x))) (cbrt.f64 (-.f64 x (hypot.f64 1 x))))) (cbrt.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (/.f64 (-.f64 (*.f64 x (-.f64 x x)) 1) (+.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (hypot.f64 1 x))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) 1) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (sqrt.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))) (sqrt.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (*.f64 (cbrt.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))) (cbrt.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))) (cbrt.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 1)
(pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 2)
(pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 3)
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 1/3)
(pow.f64 (E.f64) (log.f64 (+.f64 x (hypot.f64 1 x))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(neg.f64 (/.f64 (-.f64 (*.f64 x (-.f64 x x)) 1) (neg.f64 (-.f64 x (hypot.f64 1 x)))))
(neg.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (neg.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))))
(sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))
(log.f64 (exp.f64 (+.f64 x (hypot.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (hypot.f64 1 x)))))
(cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x))))
(exp.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(log1p.f64 (expm1.f64 (+.f64 x (hypot.f64 1 x))))
(fma.f64 1 x (hypot.f64 1 x))
(fma.f64 1 (hypot.f64 1 x) x)
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (hypot.f64 1 x))
(fma.f64 (cbrt.f64 (fma.f64 x x 1)) (cbrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (hypot.f64 1 x))
Outputs
1
(+.f64 1 (*.f64 1/2 (pow.f64 x 2)))
(+.f64 1 (*.f64 1/2 (*.f64 x x)))
(fma.f64 1/2 (*.f64 x x) 1)
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/8 (pow.f64 x 4))))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (*.f64 -1/8 (pow.f64 x 4))))
(+.f64 1 (fma.f64 -1/8 (pow.f64 x 4) (*.f64 (*.f64 1/2 x) x)))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/16 (pow.f64 x 6)) (*.f64 -1/8 (pow.f64 x 4)))))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (fma.f64 1/16 (pow.f64 x 6) (*.f64 -1/8 (pow.f64 x 4)))))
(+.f64 (fma.f64 1/2 (*.f64 x x) 1) (fma.f64 -1/8 (pow.f64 x 4) (*.f64 1/16 (pow.f64 x 6))))
x
(+.f64 (*.f64 1/2 (/.f64 1 x)) x)
(+.f64 x (/.f64 1/2 x))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) x) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1/2 x) (-.f64 x (/.f64 1/8 (pow.f64 x 3))))
(+.f64 x (+.f64 (/.f64 1/2 x) (/.f64 -1/8 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1/2 x) (-.f64 (+.f64 x (/.f64 1/16 (pow.f64 x 5))) (/.f64 1/8 (pow.f64 x 3))))
(+.f64 (/.f64 1/2 x) (+.f64 (/.f64 1/16 (pow.f64 x 5)) (+.f64 x (/.f64 -1/8 (pow.f64 x 3)))))
(+.f64 x (+.f64 (/.f64 1/16 (pow.f64 x 5)) (+.f64 (/.f64 1/2 x) (/.f64 -1/8 (pow.f64 x 3)))))
(*.f64 -1 x)
(neg.f64 x)
(-.f64 (*.f64 -1 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (neg.f64 x) (/.f64 1/2 x))
(fma.f64 x -1 (/.f64 -1/2 x))
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 -1 x)) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (neg.f64 x) (/.f64 1/2 x)))
(+.f64 (-.f64 (/.f64 1/8 (pow.f64 x 3)) x) (/.f64 -1/2 x))
(-.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 x (/.f64 -1/2 x)))
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 -1 x)) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/16 (/.f64 1 (pow.f64 x 5)))))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (neg.f64 x) (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5)))))
(+.f64 (-.f64 (/.f64 1/8 (pow.f64 x 3)) x) (-.f64 (/.f64 -1/2 x) (/.f64 1/16 (pow.f64 x 5))))
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 (pow.f64 x 3) -1/6 x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(fma.f64 (pow.f64 x 3) -1/6 (fma.f64 (pow.f64 x 5) 3/40 x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x)))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x)))
(fma.f64 (pow.f64 x 3) -1/6 (fma.f64 (pow.f64 x 5) 3/40 (fma.f64 -5/112 (pow.f64 x 7) x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x))))
(+.f64 (+.f64 (log.f64 2) (log.f64 x)) (/.f64 1/4 (*.f64 x x)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x)))) (/.f64 3/32 (pow.f64 x 4)))
(+.f64 (+.f64 (log.f64 2) (log.f64 x)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 -3/32 (pow.f64 x 4))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6))))) (/.f64 3/32 (pow.f64 x 4)))
(+.f64 (log.f64 x) (+.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (+.f64 (log.f64 2) (/.f64 5/96 (pow.f64 x 6)))) (/.f64 -3/32 (pow.f64 x 4))))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 (/.f64 -1 x)) (-.f64 (log.f64 1/2) (/.f64 1/4 (*.f64 x x))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (/.f64 -1/4 (*.f64 x x))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 (/.f64 -1 x)) (-.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (log.f64 1/2)) (/.f64 1/4 (*.f64 x x))))
(+.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (/.f64 -1/4 (*.f64 x x))))
(+.f64 (log.f64 1/2) (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (/.f64 -1/4 (*.f64 x x)))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 (/.f64 -1 x)) (-.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (log.f64 1/2)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6)))))
(+.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (log.f64 1/2) (+.f64 (log.f64 (/.f64 -1 x)) (-.f64 (/.f64 -1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6))))))
1
(+.f64 1 x)
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) x))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) x)))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (fma.f64 -1/8 (pow.f64 x 4) x)))
(+.f64 (fma.f64 1/2 (*.f64 x x) 1) (fma.f64 -1/8 (pow.f64 x 4) x))
(*.f64 2 x)
(*.f64 x 2)
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(fma.f64 2 x (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 2 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (fma.f64 2 x (/.f64 1/2 x)) (/.f64 1/8 (pow.f64 x 3)))
(+.f64 (/.f64 1/2 x) (fma.f64 x 2 (/.f64 -1/8 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 2 x) (*.f64 1/16 (/.f64 1 (pow.f64 x 5))))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1/2 x) (-.f64 (fma.f64 2 x (/.f64 1/16 (pow.f64 x 5))) (/.f64 1/8 (pow.f64 x 3))))
(+.f64 (/.f64 1/2 x) (+.f64 (/.f64 1/16 (pow.f64 x 5)) (fma.f64 x 2 (/.f64 -1/8 (pow.f64 x 3)))))
(/.f64 -1/2 x)
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x))
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))
(-.f64 (-.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/16 (pow.f64 x 5))) (/.f64 1/2 x))
(+.f64 (-.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/16 (pow.f64 x 5))) (/.f64 -1/2 x))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 -1/16 (pow.f64 x 5)) (/.f64 -1/2 x)))
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 5/128 (/.f64 1 (pow.f64 x 7)))) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (/.f64 5/128 (pow.f64 x 7)) (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5)))))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (-.f64 (/.f64 5/128 (pow.f64 x 7)) (/.f64 1/2 x)) (/.f64 1/16 (pow.f64 x 5))))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 5/128 (pow.f64 x 7)) (-.f64 (/.f64 -1/2 x) (/.f64 1/16 (pow.f64 x 5)))))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 1 x))) 1)
(hypot.f64 1 x)
(*.f64 1 (hypot.f64 1 x))
(hypot.f64 1 x)
(*.f64 (hypot.f64 1 x) 1)
(hypot.f64 1 x)
(*.f64 (hypot.f64 1 x) (pow.f64 1 1/2))
(hypot.f64 1 x)
(*.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)))
(hypot.f64 1 x)
(*.f64 (cbrt.f64 (hypot.f64 1 x)) (cbrt.f64 (fma.f64 x x 1)))
(*.f64 (cbrt.f64 (fma.f64 x x 1)) (cbrt.f64 (hypot.f64 1 x)))
(*.f64 (cbrt.f64 (hypot.f64 1 x)) (cbrt.f64 (fma.f64 x x 1)))
(*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x 1))) (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x x 1) 2))))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x x 1) 2))) (sqrt.f64 (cbrt.f64 (fma.f64 x x 1))))
(*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x 1))) (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x x 1) 2))))
(*.f64 (pow.f64 1 1/2) (hypot.f64 1 x))
(hypot.f64 1 x)
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x x 1) 2)) 1/2) (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 1/2))
(*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x 1))) (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x x 1) 2))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 1/2) (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x x 1) 2)) 1/2))
(*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x 1))) (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x x 1) 2))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (hypot.f64 1 x))) (cbrt.f64 (hypot.f64 1 x))) (*.f64 (sqrt.f64 (cbrt.f64 (hypot.f64 1 x))) (cbrt.f64 (hypot.f64 1 x))))
(hypot.f64 1 x)
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (hypot.f64 1 x))) (sqrt.f64 (cbrt.f64 (fma.f64 x x 1)))) (*.f64 (cbrt.f64 (sqrt.f64 (hypot.f64 1 x))) (sqrt.f64 (cbrt.f64 (fma.f64 x x 1)))))
(*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x 1))) (*.f64 (cbrt.f64 (sqrt.f64 (hypot.f64 1 x))) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x 1))) (cbrt.f64 (sqrt.f64 (hypot.f64 1 x))))))
(*.f64 (cbrt.f64 (fma.f64 x x 1)) (*.f64 (cbrt.f64 (sqrt.f64 (hypot.f64 1 x))) (cbrt.f64 (sqrt.f64 (hypot.f64 1 x)))))
(*.f64 (*.f64 (cbrt.f64 (hypot.f64 1 x)) (sqrt.f64 (cbrt.f64 (hypot.f64 1 x)))) (*.f64 (cbrt.f64 (hypot.f64 1 x)) (sqrt.f64 (cbrt.f64 (hypot.f64 1 x)))))
(hypot.f64 1 x)
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x 1))) (cbrt.f64 (sqrt.f64 (hypot.f64 1 x)))) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x 1))) (cbrt.f64 (sqrt.f64 (hypot.f64 1 x)))))
(*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x 1))) (*.f64 (cbrt.f64 (sqrt.f64 (hypot.f64 1 x))) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x 1))) (cbrt.f64 (sqrt.f64 (hypot.f64 1 x))))))
(*.f64 (cbrt.f64 (fma.f64 x x 1)) (*.f64 (cbrt.f64 (sqrt.f64 (hypot.f64 1 x))) (cbrt.f64 (sqrt.f64 (hypot.f64 1 x)))))
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(/.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (hypot.f64 1 x) 3) 3)) (/.f64 1 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))) (+.f64 (pow.f64 x 6) (*.f64 (pow.f64 (hypot.f64 1 x) 3) (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (hypot.f64 1 x) 3) 3)) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))) (+.f64 (pow.f64 x 6) (*.f64 (pow.f64 (hypot.f64 1 x) 3) (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (hypot.f64 1 x) 3) 3)) (fma.f64 (pow.f64 (hypot.f64 1 x) 3) (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (pow.f64 x 6))) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
(/.f64 (*.f64 (-.f64 (pow.f64 x 6) (pow.f64 (fma.f64 x x 1) 3)) (/.f64 1 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))) (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))
(/.f64 (/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (fma.f64 x x 1) 3)) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))) (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (fma.f64 x x 1) 3)) (*.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))) (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))))
(/.f64 (/.f64 (-.f64 (*.f64 x (-.f64 x x)) 1) 1) (-.f64 x (hypot.f64 1 x)))
(*.f64 (fma.f64 x 0 -1) (/.f64 1 (-.f64 x (hypot.f64 1 x))))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 (/.f64 (-.f64 (*.f64 x (-.f64 x x)) 1) (sqrt.f64 (-.f64 x (hypot.f64 1 x)))) (sqrt.f64 (-.f64 x (hypot.f64 1 x))))
(*.f64 (fma.f64 x 0 -1) (/.f64 1 (-.f64 x (hypot.f64 1 x))))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 (/.f64 (-.f64 (*.f64 x (-.f64 x x)) 1) (*.f64 (cbrt.f64 (-.f64 x (hypot.f64 1 x))) (cbrt.f64 (-.f64 x (hypot.f64 1 x))))) (cbrt.f64 (-.f64 x (hypot.f64 1 x))))
(*.f64 (fma.f64 x 0 -1) (/.f64 1 (-.f64 x (hypot.f64 1 x))))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 (/.f64 (-.f64 (*.f64 x (-.f64 x x)) 1) (+.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (hypot.f64 1 x))))
(/.f64 (/.f64 (fma.f64 x 0 -1) (+.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (hypot.f64 1 x))))
(/.f64 -1 (*.f64 (+.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 x) (sqrt.f64 (hypot.f64 1 x)))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) 1) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) 1) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (sqrt.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))) (sqrt.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) 1) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (*.f64 (cbrt.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))) (cbrt.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))) (cbrt.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) 1) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 1)
(+.f64 x (hypot.f64 1 x))
(pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 2)
(+.f64 x (hypot.f64 1 x))
(pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 3)
(+.f64 x (hypot.f64 1 x))
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 1/3)
(+.f64 x (hypot.f64 1 x))
(pow.f64 (E.f64) (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 x (hypot.f64 1 x))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 x (hypot.f64 1 x))
(neg.f64 (/.f64 (-.f64 (*.f64 x (-.f64 x x)) 1) (neg.f64 (-.f64 x (hypot.f64 1 x)))))
(*.f64 (fma.f64 x 0 -1) (/.f64 1 (-.f64 x (hypot.f64 1 x))))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(neg.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (neg.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) 1) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
(sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))
(fabs.f64 (+.f64 x (hypot.f64 1 x)))
(log.f64 (exp.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 x (hypot.f64 1 x))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 x (hypot.f64 1 x))
(cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))
(+.f64 x (hypot.f64 1 x))
(expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 x (hypot.f64 1 x))
(exp.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 x (hypot.f64 1 x))
(log1p.f64 (expm1.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 x (hypot.f64 1 x))
(fma.f64 1 x (hypot.f64 1 x))
(+.f64 x (hypot.f64 1 x))
(fma.f64 1 (hypot.f64 1 x) x)
(+.f64 x (hypot.f64 1 x))
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) x)
(+.f64 x (hypot.f64 1 x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (hypot.f64 1 x))
(+.f64 x (hypot.f64 1 x))
(fma.f64 (cbrt.f64 (fma.f64 x x 1)) (cbrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (cbrt.f64 (hypot.f64 1 x)) (cbrt.f64 (fma.f64 x x 1)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (hypot.f64 1 x))
(+.f64 x (hypot.f64 1 x))

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.4b
(+.f64 x (hypot.f64 1 x))
✓3.1b
(log.f64 (+.f64 x (hypot.f64 1 x)))
Compiler

Compiled 17 to 11 computations (35.3% saved)

series1.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite61.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
1604×add-sqr-sqrt
1590×*-un-lft-identity
1478×add-cube-cbrt
1462×add-cbrt-cube
1448×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0830
115830
2195230
Stop Event
1×node limit
Counts
2 → 57
Calls
Call 1
Inputs
(log.f64 (+.f64 x (hypot.f64 1 x)))
(+.f64 x (hypot.f64 1 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x)))) (log.f64 (-.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (-.f64 x (hypot.f64 1 x))) (/.f64 (+.f64 1 (*.f64 x x)) (-.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (hypot.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x))) (/.f64 1 (-.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x))) (-.f64 x (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (+.f64 (+.f64 1 (*.f64 x x)) (-.f64 (*.f64 x x) (*.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x)) (-.f64 (hypot.f64 1 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x)))) (neg.f64 (-.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (neg.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (hypot.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (hypot.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (hypot.f64 1 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (hypot.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 1 (*.f64 x x))) (cbrt.f64 (hypot.f64 1 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (hypot.f64 1 x))))))

simplify78.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
1258×associate-+l-
1152×fma-def
1062×associate-+r-
916×unswap-sqr
542×associate-+l+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02162461
15592087
220261941
370891941
Stop Event
1×node limit
Counts
81 → 137
Calls
Call 1
Inputs
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
1
(+.f64 1 x)
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) x)))
(*.f64 2 x)
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 2 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 2 x) (*.f64 1/16 (/.f64 1 (pow.f64 x 5))))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(/.f64 -1/2 x)
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 5/128 (/.f64 1 (pow.f64 x 7)))) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))
(+.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(-.f64 (log.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x)))) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(*.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3)
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))
(-.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) 1)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (hypot.f64 1 x))) (/.f64 (+.f64 1 (*.f64 x x)) (-.f64 x (hypot.f64 1 x))))
(*.f64 1 (+.f64 x (hypot.f64 1 x)))
(*.f64 (+.f64 x (hypot.f64 1 x)) 1)
(*.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x))) (/.f64 1 (-.f64 x (hypot.f64 1 x))))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(/.f64 1 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x)))))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))))
(/.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x))) (-.f64 x (hypot.f64 1 x)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (+.f64 (+.f64 1 (*.f64 x x)) (-.f64 (*.f64 x x) (*.f64 x (hypot.f64 1 x)))))
(/.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x)) (-.f64 (hypot.f64 1 x) x))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x)))) (neg.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (neg.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 1)
(pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 2)
(pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 3)
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 1/3)
(pow.f64 (E.f64) (log.f64 (+.f64 x (hypot.f64 1 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))
(log.f64 (exp.f64 (+.f64 x (hypot.f64 1 x))))
(cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x))))
(exp.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(log1p.f64 (expm1.f64 (+.f64 x (hypot.f64 1 x))))
(fma.f64 1 x (hypot.f64 1 x))
(fma.f64 1 (hypot.f64 1 x) x)
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (hypot.f64 1 x))
(fma.f64 (cbrt.f64 (+.f64 1 (*.f64 x x))) (cbrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (hypot.f64 1 x))
Outputs
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x)))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x))))
(+.f64 (log.f64 2) (+.f64 (log.f64 x) (/.f64 1/4 (*.f64 x x))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x)))) (/.f64 3/32 (pow.f64 x 4)))
(+.f64 (log.f64 x) (+.f64 (log.f64 2) (-.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 3/32 (pow.f64 x 4)))))
(+.f64 (log.f64 2) (-.f64 (+.f64 (log.f64 x) (/.f64 1/4 (*.f64 x x))) (/.f64 3/32 (pow.f64 x 4))))
(+.f64 (+.f64 (log.f64 2) (log.f64 x)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 -3/32 (pow.f64 x 4))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6))))) (/.f64 3/32 (pow.f64 x 4)))
(+.f64 (log.f64 x) (+.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6))) (-.f64 (log.f64 2) (/.f64 3/32 (pow.f64 x 4)))))
(+.f64 (log.f64 2) (+.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (+.f64 (/.f64 5/96 (pow.f64 x 6)) (/.f64 -3/32 (pow.f64 x 4)))) (log.f64 x)))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 (/.f64 -1 x)) (-.f64 (log.f64 1/2) (/.f64 1/4 (*.f64 x x))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (/.f64 -1/4 (*.f64 x x))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (/.f64 (/.f64 -1/4 x) x)))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 (/.f64 -1 x)) (-.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (log.f64 1/2)) (/.f64 1/4 (*.f64 x x))))
(+.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (log.f64 1/2)) (-.f64 (log.f64 (/.f64 -1 x)) (/.f64 1/4 (*.f64 x x))))
(+.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (log.f64 1/2)) (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 (/.f64 -1/4 x) x)))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 (/.f64 -1 x)) (-.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (log.f64 1/2)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6)))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (-.f64 (log.f64 1/2) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6))))))
(+.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (+.f64 (log.f64 1/2) (+.f64 (/.f64 (/.f64 -1/4 x) x) (/.f64 -5/96 (pow.f64 x 6)))) (log.f64 (/.f64 -1 x))))
1
(+.f64 1 x)
(+.f64 x 1)
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) x))
(+.f64 x (fma.f64 x (*.f64 x 1/2) 1))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) x)))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (fma.f64 -1/8 (pow.f64 x 4) x)))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (fma.f64 (pow.f64 x 4) -1/8 x)))
(+.f64 (fma.f64 (pow.f64 x 4) -1/8 x) (fma.f64 x (*.f64 x 1/2) 1))
(*.f64 2 x)
(*.f64 x 2)
(+.f64 x x)
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(fma.f64 2 x (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 2 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (fma.f64 2 x (/.f64 1/2 x)) (/.f64 1/8 (pow.f64 x 3)))
(+.f64 (fma.f64 x 2 (/.f64 1/2 x)) (/.f64 -1/8 (pow.f64 x 3)))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 2 x) (*.f64 1/16 (/.f64 1 (pow.f64 x 5))))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 1/2 x) (fma.f64 2 x (/.f64 1/16 (pow.f64 x 5)))) (/.f64 1/8 (pow.f64 x 3)))
(+.f64 (/.f64 1/2 x) (+.f64 (fma.f64 x 2 (/.f64 1/16 (pow.f64 x 5))) (/.f64 -1/8 (pow.f64 x 3))))
(+.f64 (/.f64 1/2 x) (+.f64 (/.f64 1/16 (pow.f64 x 5)) (fma.f64 x 2 (/.f64 -1/8 (pow.f64 x 3)))))
(/.f64 -1/2 x)
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x))
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))
(-.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5))))
(+.f64 (-.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/16 (pow.f64 x 5))) (/.f64 -1/2 x))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (/.f64 -1/2 x) (/.f64 1/16 (pow.f64 x 5))))
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 5/128 (/.f64 1 (pow.f64 x 7)))) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (/.f64 5/128 (pow.f64 x 7)) (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5)))))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 5/128 (pow.f64 x 7)) (-.f64 (/.f64 -1/2 x) (/.f64 1/16 (pow.f64 x 5)))))
(+.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(-.f64 (log.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x)))) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (log.f64 -1) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(-.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) 1)
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (hypot.f64 1 x))) (/.f64 (+.f64 1 (*.f64 x x)) (-.f64 x (hypot.f64 1 x))))
(/.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x))) (-.f64 x (hypot.f64 1 x)))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(*.f64 1 (+.f64 x (hypot.f64 1 x)))
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(*.f64 (+.f64 x (hypot.f64 1 x)) 1)
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(*.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(*.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2))
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(*.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x))) (/.f64 1 (-.f64 x (hypot.f64 1 x))))
(/.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x))) (-.f64 x (hypot.f64 1 x)))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
(/.f64 1 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x)))))
(/.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x))) (-.f64 x (hypot.f64 1 x)))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
(/.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x))) (-.f64 x (hypot.f64 1 x)))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (+.f64 (+.f64 1 (*.f64 x x)) (-.f64 (*.f64 x x) (*.f64 x (hypot.f64 1 x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (+.f64 1 (+.f64 (*.f64 x x) (*.f64 x (-.f64 x (hypot.f64 1 x))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x (-.f64 x (hypot.f64 1 x)) (fma.f64 x x 1)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x (+.f64 x (-.f64 x (hypot.f64 1 x))) 1))
(/.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x)) (-.f64 (hypot.f64 1 x) x))
(/.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x))) (-.f64 x (hypot.f64 1 x)))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x)))) (neg.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x))) (-.f64 x (hypot.f64 1 x)))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (neg.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 1)
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 2)
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 3)
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 1/3)
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(pow.f64 (E.f64) (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(log.f64 (exp.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(exp.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(log1p.f64 (expm1.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(fma.f64 1 x (hypot.f64 1 x))
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(fma.f64 1 (hypot.f64 1 x) x)
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) x)
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (hypot.f64 1 x))
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(fma.f64 (cbrt.f64 (+.f64 1 (*.f64 x x))) (cbrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (cbrt.f64 (fma.f64 x x 1)) (cbrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (hypot.f64 1 x))
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))

eval327.0ms (3.6%)

Compiler

Compiled 7656 to 5591 computations (27% saved)

prune110.0ms (1.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New4416447
Fresh000
Picked011
Done101
Total4427449
Error
0.0b
Counts
449 → 7
Alt Table
Click to see full alt table
StatusErrorProgram
▶30.4b
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
▶45.4b
(log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))
▶48.2b
(log.f64 (/.f64 -1/2 x))
✓46.3b
(log.f64 (+.f64 x (hypot.f64 1 x)))
▶48.3b
(log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))
▶48.9b
(log.f64 (+.f64 x x))
29.0b
x
Compiler

Compiled 81 to 58 computations (28.4% saved)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.2b
(*.f64 -1/6 (pow.f64 x 3))
Compiler

Compiled 19 to 14 computations (26.3% saved)

series1.0ms (0%)

Counts
1 → 0
Calls

3 calls:

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

rewrite49.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
1238×add-sqr-sqrt
1204×*-un-lft-identity
1144×add-cube-cbrt
1136×add-cbrt-cube
1120×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0713
114913
2159713
Stop Event
1×node limit
Counts
1 → 11
Calls
Call 1
Inputs
(*.f64 -1/6 (pow.f64 x 3))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (cbrt.f64 -1/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 6) 1/36))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -1/6 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3))))))))

simplify61.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
1088×distribute-rgt-out
1084×distribute-rgt-in
1068×distribute-lft-in
892×log-prod
638×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
039275
199209
2322143
31696143
46830143
Stop Event
1×node limit
Counts
11 → 14
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))) 1)
(pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 1)
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) 2)
(pow.f64 (*.f64 x (cbrt.f64 -1/6)) 3)
(pow.f64 (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 x 6) 1/36))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6))
(cbrt.f64 (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3))
(expm1.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3))))
(exp.f64 (log.f64 (*.f64 -1/6 (pow.f64 x 3))))
(log1p.f64 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3))))
Outputs
(-.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))) 1)
(+.f64 1 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) 1))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) 0)
(*.f64 -1/6 (pow.f64 x 3))
(pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 1)
(+.f64 1 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) 1))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) 0)
(*.f64 -1/6 (pow.f64 x 3))
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) 2)
(+.f64 1 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) 1))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) 0)
(*.f64 -1/6 (pow.f64 x 3))
(pow.f64 (*.f64 x (cbrt.f64 -1/6)) 3)
(+.f64 1 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) 1))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) 0)
(*.f64 -1/6 (pow.f64 x 3))
(pow.f64 (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3) 1/3)
(+.f64 1 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) 1))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) 0)
(*.f64 -1/6 (pow.f64 x 3))
(sqrt.f64 (*.f64 (pow.f64 x 6) 1/36))
(+.f64 1 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) 1))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) 0)
(*.f64 -1/6 (pow.f64 x 3))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6))
(+.f64 1 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) 1))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) 0)
(*.f64 -1/6 (pow.f64 x 3))
(cbrt.f64 (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3))
(+.f64 1 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) 1))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) 0)
(*.f64 -1/6 (pow.f64 x 3))
(expm1.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3))))
(+.f64 1 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) 1))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) 0)
(*.f64 -1/6 (pow.f64 x 3))
(exp.f64 (log.f64 (*.f64 -1/6 (pow.f64 x 3))))
(+.f64 1 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) 1))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) 0)
(*.f64 -1/6 (pow.f64 x 3))
(log1p.f64 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3))))
(+.f64 1 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) 1))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) 0)
(*.f64 -1/6 (pow.f64 x 3))

localize4.0ms (0%)

Compiler

Compiled 9 to 3 computations (66.7% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(log.f64 (/.f64 -1/2 x))
Compiler

Compiled 10 to 7 computations (30% saved)

series78.0ms (0.9%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
48.0ms
x
@-inf
(log.f64 (/.f64 -1/2 x))
21.0ms
x
@0
(log.f64 (/.f64 -1/2 x))
9.0ms
x
@inf
(log.f64 (/.f64 -1/2 x))

rewrite56.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
1320×add-sqr-sqrt
1296×*-un-lft-identity
1210×add-cube-cbrt
1198×add-cbrt-cube
1186×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
114211
2164511
Stop Event
1×node limit
Counts
1 → 25
Calls
Call 1
Inputs
(log.f64 (/.f64 -1/2 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 -1/2) (neg.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (/.f64 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (/.f64 1/4 (*.f64 x x)))) (log.f64 (cbrt.f64 (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (/.f64 -1/2 x))) (log.f64 (sqrt.f64 (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 -1/2) (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 1/2) (log.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (log.f64 (*.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log.f64 (/.f64 -1/2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (/.f64 -1/2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (/.f64 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (/.f64 -1/2 x))) (sqrt.f64 (log.f64 (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (/.f64 -1/2 x))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 -1/2 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 -1/2 x))) 2) (cbrt.f64 (log.f64 (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (log.f64 -1/2) (log.f64 -1/2)) (*.f64 (log.f64 x) (log.f64 x))) (+.f64 (log.f64 -1/2) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log.f64 -1/2) 3) (pow.f64 (log.f64 x) 3)) (+.f64 (*.f64 (log.f64 -1/2) (log.f64 -1/2)) (+.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 (log.f64 -1/2) (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (/.f64 -1/2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (/.f64 -1/2 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (/.f64 -1/2 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (/.f64 -1/2 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (log.f64 (*.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (/.f64 -1/2 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (/.f64 -1/2 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (/.f64 -1/2 x) 1))))))

simplify61.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
980×associate-+l-
944×associate-*r*
932×*-commutative
896×associate-+r-
718×associate--l+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
084571
1173571
2642571
33669571
46382571
Stop Event
1×node limit
Counts
37 → 34
Calls
Call 1
Inputs
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(+.f64 (log.f64 -1/2) (neg.f64 (log.f64 x)))
(+.f64 0 (log.f64 (/.f64 -1/2 x)))
(+.f64 (log.f64 (cbrt.f64 (/.f64 1/4 (*.f64 x x)))) (log.f64 (cbrt.f64 (/.f64 -1/2 x))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 -1/2 x))) (log.f64 (sqrt.f64 (/.f64 -1/2 x))))
(-.f64 (log.f64 -1/2) (log.f64 x))
(-.f64 (log.f64 1/2) (log.f64 (neg.f64 x)))
(-.f64 0 (log.f64 (*.f64 x -2)))
(-.f64 (+.f64 1 (log.f64 (/.f64 -1/2 x))) 1)
(*.f64 (log.f64 (/.f64 -1/2 x)) 1)
(*.f64 1 (log.f64 (/.f64 -1/2 x)))
(*.f64 (sqrt.f64 (log.f64 (/.f64 -1/2 x))) (sqrt.f64 (log.f64 (/.f64 -1/2 x))))
(*.f64 (cbrt.f64 (log.f64 (/.f64 -1/2 x))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 -1/2 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 -1/2 x))) 2) (cbrt.f64 (log.f64 (/.f64 -1/2 x))))
(/.f64 (-.f64 (*.f64 (log.f64 -1/2) (log.f64 -1/2)) (*.f64 (log.f64 x) (log.f64 x))) (+.f64 (log.f64 -1/2) (log.f64 x)))
(/.f64 (-.f64 (pow.f64 (log.f64 -1/2) 3) (pow.f64 (log.f64 x) 3)) (+.f64 (*.f64 (log.f64 -1/2) (log.f64 -1/2)) (+.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 (log.f64 -1/2) (log.f64 x)))))
(pow.f64 (log.f64 (/.f64 -1/2 x)) 1)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 -1/2 x))) 2)
(pow.f64 (cbrt.f64 (log.f64 (/.f64 -1/2 x))) 3)
(pow.f64 (pow.f64 (log.f64 (/.f64 -1/2 x)) 3) 1/3)
(neg.f64 (log.f64 (*.f64 x -2)))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 -1/2 x)) 2))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 -1/2 x)) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 -1/2 x))))
(exp.f64 (log.f64 (log.f64 (/.f64 -1/2 x))))
(log1p.f64 (-.f64 (/.f64 -1/2 x) 1))
Outputs
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x)))
(log.f64 (/.f64 -1/2 x))
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x)))
(log.f64 (/.f64 -1/2 x))
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x)))
(log.f64 (/.f64 -1/2 x))
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x)))
(log.f64 (/.f64 -1/2 x))
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 1 x)))
(log.f64 (/.f64 -1/2 x))
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 1 x)))
(log.f64 (/.f64 -1/2 x))
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 1 x)))
(log.f64 (/.f64 -1/2 x))
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 1 x)))
(log.f64 (/.f64 -1/2 x))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(+.f64 (log.f64 -1/2) (neg.f64 (log.f64 x)))
(log.f64 (/.f64 -1/2 x))
(+.f64 0 (log.f64 (/.f64 -1/2 x)))
(log.f64 (/.f64 -1/2 x))
(+.f64 (log.f64 (cbrt.f64 (/.f64 1/4 (*.f64 x x)))) (log.f64 (cbrt.f64 (/.f64 -1/2 x))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 -1/2 x))) (log.f64 (sqrt.f64 (/.f64 -1/2 x))))
(*.f64 2 (log.f64 (sqrt.f64 (/.f64 -1/2 x))))
(*.f64 (log.f64 (sqrt.f64 (/.f64 -1/2 x))) 2)
(-.f64 (log.f64 -1/2) (log.f64 x))
(log.f64 (/.f64 -1/2 x))
(-.f64 (log.f64 1/2) (log.f64 (neg.f64 x)))
(-.f64 0 (log.f64 (*.f64 x -2)))
(neg.f64 (log.f64 (*.f64 x -2)))
(-.f64 (+.f64 1 (log.f64 (/.f64 -1/2 x))) 1)
(log.f64 (/.f64 -1/2 x))
(*.f64 (log.f64 (/.f64 -1/2 x)) 1)
(log.f64 (/.f64 -1/2 x))
(*.f64 1 (log.f64 (/.f64 -1/2 x)))
(log.f64 (/.f64 -1/2 x))
(*.f64 (sqrt.f64 (log.f64 (/.f64 -1/2 x))) (sqrt.f64 (log.f64 (/.f64 -1/2 x))))
(log.f64 (/.f64 -1/2 x))
(*.f64 (cbrt.f64 (log.f64 (/.f64 -1/2 x))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 -1/2 x))) 2))
(log.f64 (/.f64 -1/2 x))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 -1/2 x))) 2) (cbrt.f64 (log.f64 (/.f64 -1/2 x))))
(log.f64 (/.f64 -1/2 x))
(/.f64 (-.f64 (*.f64 (log.f64 -1/2) (log.f64 -1/2)) (*.f64 (log.f64 x) (log.f64 x))) (+.f64 (log.f64 -1/2) (log.f64 x)))
(log.f64 (/.f64 -1/2 x))
(/.f64 (-.f64 (pow.f64 (log.f64 -1/2) 3) (pow.f64 (log.f64 x) 3)) (+.f64 (*.f64 (log.f64 -1/2) (log.f64 -1/2)) (+.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 (log.f64 -1/2) (log.f64 x)))))
(/.f64 (-.f64 (pow.f64 (log.f64 -1/2) 3) (pow.f64 (log.f64 x) 3)) (fma.f64 (log.f64 -1/2) (log.f64 -1/2) (*.f64 (log.f64 x) (+.f64 (log.f64 -1/2) (log.f64 x)))))
(pow.f64 (log.f64 (/.f64 -1/2 x)) 1)
(log.f64 (/.f64 -1/2 x))
(pow.f64 (sqrt.f64 (log.f64 (/.f64 -1/2 x))) 2)
(log.f64 (/.f64 -1/2 x))
(pow.f64 (cbrt.f64 (log.f64 (/.f64 -1/2 x))) 3)
(log.f64 (/.f64 -1/2 x))
(pow.f64 (pow.f64 (log.f64 (/.f64 -1/2 x)) 3) 1/3)
(log.f64 (/.f64 -1/2 x))
(neg.f64 (log.f64 (*.f64 x -2)))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 -1/2 x)) 2))
(log.f64 (/.f64 -1/2 x))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 -1/2 x)) 3))
(log.f64 (/.f64 -1/2 x))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 -1/2 x))))
(log.f64 (/.f64 -1/2 x))
(exp.f64 (log.f64 (log.f64 (/.f64 -1/2 x))))
(log.f64 (/.f64 -1/2 x))
(log1p.f64 (-.f64 (/.f64 -1/2 x) 1))
(log1p.f64 (+.f64 (/.f64 -1/2 x) -1))
(log1p.f64 (+.f64 -1 (/.f64 -1/2 x)))

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 x (+.f64 x (/.f64 1/2 x)))
✓0.0b
(+.f64 x (/.f64 1/2 x))
Compiler

Compiled 26 to 16 computations (38.5% saved)

series20.0ms (0.2%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
19.0ms
x
@0
(+.f64 x (+.f64 x (/.f64 1/2 x)))
0.0ms
x
@0
(+.f64 x (/.f64 1/2 x))
0.0ms
x
@inf
(+.f64 x (+.f64 x (/.f64 1/2 x)))
0.0ms
x
@-inf
(+.f64 x (/.f64 1/2 x))
0.0ms
x
@-inf
(+.f64 x (+.f64 x (/.f64 1/2 x)))

rewrite91.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
1248×associate-*l/
820×*-commutative
740×distribute-lft-in
678×distribute-rgt-in
544×associate-/r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0732
116932
2249832
Stop Event
1×node limit
Counts
2 → 153
Calls
Call 1
Inputs
(+.f64 x (/.f64 1/2 x))
(+.f64 x (+.f64 x (/.f64 1/2 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1/2 x))) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 x (/.f64 1/2 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x (/.f64 (+.f64 x (/.f64 -1/2 x)) x)) (/.f64 (/.f64 1/4 (*.f64 x x)) (+.f64 x (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x (exp.f64 (log1p.f64 (/.f64 1/2 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 1/2 x) (exp.f64 (log1p.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (/.f64 1/2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x (/.f64 1/2 x))) (sqrt.f64 (+.f64 x (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x (/.f64 1/2 x))) (pow.f64 (cbrt.f64 (+.f64 x (/.f64 1/2 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 1/2 x))) 2) (cbrt.f64 (+.f64 x (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x x (/.f64 -1/4 (*.f64 x x))) (/.f64 1 (+.f64 x (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3))) (/.f64 1 (fma.f64 x x (*.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x (/.f64 -1/2 x))) (fma.f64 x x (/.f64 -1/4 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x x (*.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) x)))) (+.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 x x (/.f64 -1/4 (*.f64 x x))) (fma.f64 x x (/.f64 -1/4 (*.f64 x x)))) (+.f64 x (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 x x (/.f64 -1/4 (*.f64 x x))) (-.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3)))) (+.f64 (*.f64 x x) (*.f64 (/.f64 1/2 x) (+.f64 x (/.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3))) (-.f64 (*.f64 x (pow.f64 x 3)) (*.f64 (/.f64 1/4 (*.f64 x x)) (*.f64 (-.f64 (/.f64 1/2 x) x) (-.f64 (/.f64 1/2 x) x))))) (+.f64 (*.f64 x x) (*.f64 (/.f64 -1/2 x) (-.f64 (/.f64 1/2 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3))) (+.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) x)) 3))) (+.f64 (*.f64 x (pow.f64 x 3)) (*.f64 (*.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) x)) (-.f64 (*.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) x)) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (/.f64 1/2 x)) (/.f64 (+.f64 x (/.f64 -1/2 x)) (+.f64 x (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (+.f64 x (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x x (/.f64 -1/4 (*.f64 x x))) (+.f64 x (/.f64 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3))) (fma.f64 x x (*.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x x (*.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) x))) (/.f64 (fma.f64 x x (*.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) x))) (+.f64 x (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (fma.f64 x x (/.f64 -1/4 (*.f64 x x)))) (/.f64 (+.f64 x (/.f64 -1/2 x)) (sqrt.f64 (fma.f64 x x (/.f64 -1/4 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3)))) (/.f64 (fma.f64 x x (*.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) x))) (sqrt.f64 (+.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (fma.f64 x x (/.f64 -1/4 (*.f64 x x)))) (cbrt.f64 (fma.f64 x x (/.f64 -1/4 (*.f64 x x))))) (/.f64 (+.f64 x (/.f64 -1/2 x)) (cbrt.f64 (fma.f64 x x (/.f64 -1/4 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3)))) (cbrt.f64 (+.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3))))) (/.f64 (fma.f64 x x (*.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) x))) (cbrt.f64 (+.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 1/4 (*.f64 x x)) (*.f64 x x)) (-.f64 (/.f64 1/2 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (*.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/8 (pow.f64 x 3)))) (*.f64 (fma.f64 x x (*.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) x))) (-.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x (pow.f64 x 3)) (*.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3)))) (*.f64 (+.f64 x (/.f64 -1/2 x)) (+.f64 (*.f64 x x) (/.f64 1/4 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (/.f64 1/8 (pow.f64 x 3)) 3)) (*.f64 (fma.f64 x x (*.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) x))) (+.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (*.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (/.f64 1/8 (pow.f64 x 3)) (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (/.f64 1/4 (*.f64 x x)) 3)) (*.f64 (+.f64 x (/.f64 -1/2 x)) (+.f64 (*.f64 x (pow.f64 x 3)) (*.f64 (/.f64 1/4 (*.f64 x x)) (+.f64 (*.f64 x x) (/.f64 1/4 (*.f64 x x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 x x (/.f64 -1/4 (*.f64 x x)))) (neg.f64 (+.f64 x (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3)))) (neg.f64 (fma.f64 x x (*.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (/.f64 1/4 (*.f64 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simplify121.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
1100×associate-+l+
968×associate-+r+
876×+-commutative
572×associate-*r*
504×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
04259069
112458181
261628181
Stop Event
1×node limit
Counts
177 → 253
Calls
Call 1
Inputs
(/.f64 1/2 x)
(+.f64 (*.f64 1/2 (/.f64 1 x)) x)
(+.f64 (*.f64 1/2 (/.f64 1 x)) x)
(+.f64 (*.f64 1/2 (/.f64 1 x)) x)
x
(+.f64 (*.f64 1/2 (/.f64 1 x)) x)
(+.f64 (*.f64 1/2 (/.f64 1 x)) x)
(+.f64 (*.f64 1/2 (/.f64 1 x)) x)
x
(+.f64 (*.f64 1/2 (/.f64 1 x)) x)
(+.f64 (*.f64 1/2 (/.f64 1 x)) x)
(+.f64 (*.f64 1/2 (/.f64 1 x)) x)
(/.f64 1/2 x)
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(*.f64 2 x)
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(*.f64 2 x)
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (/.f64 1/2 x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1/2 x))) (-.f64 1 x))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (/.f64 1/2 x)))) 1)
(-.f64 (/.f64 x (/.f64 (+.f64 x (/.f64 -1/2 x)) x)) (/.f64 (/.f64 1/4 (*.f64 x x)) (+.f64 x (/.f64 -1/2 x))))
(-.f64 (+.f64 x (exp.f64 (log1p.f64 (/.f64 1/2 x)))) 1)
(-.f64 (+.f64 (/.f64 1/2 x) (exp.f64 (log1p.f64 x))) 1)
(*.f64 (+.f64 x (/.f64 1/2 x)) 1)
(*.f64 1 (+.f64 x (/.f64 1/2 x)))
(*.f64 (sqrt.f64 (+.f64 x (/.f64 1/2 x))) (sqrt.f64 (+.f64 x (/.f64 1/2 x))))
(*.f64 (cbrt.f64 (+.f64 x (/.f64 1/2 x))) (pow.f64 (cbrt.f64 (+.f64 x (/.f64 1/2 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 1/2 x))) 2) (cbrt.f64 (+.f64 x (/.f64 1/2 x))))
(*.f64 (fma.f64 x x (/.f64 -1/4 (*.f64 x x))) (/.f64 1 (+.f64 x (/.f64 -1/2 x))))
(*.f64 (+.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3))) (/.f64 1 (fma.f64 x x (*.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) x)))))
(*.f64 (/.f64 1 (+.f64 x (/.f64 -1/2 x))) (fma.f64 x x (/.f64 -1/4 (*.f64 x x))))
(*.f64 (/.f64 1 (fma.f64 x x (*.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) x)))) (+.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3))))
(*.f64 (/.f64 (fma.f64 x x (/.f64 -1/4 (*.f64 x x))) (fma.f64 x x (/.f64 -1/4 (*.f64 x x)))) (+.f64 x (/.f64 1/2 x)))
(*.f64 (/.f64 (fma.f64 x x (/.f64 -1/4 (*.f64 x x))) (-.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3)))) (+.f64 (*.f64 x x) (*.f64 (/.f64 1/2 x) (+.f64 x (/.f64 1/2 x)))))
(*.f64 (/.f64 (+.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3))) (-.f64 (*.f64 x (pow.f64 x 3)) (*.f64 (/.f64 1/4 (*.f64 x x)) (*.f64 (-.f64 (/.f64 1/2 x) x) (-.f64 (/.f64 1/2 x) x))))) (+.f64 (*.f64 x x) (*.f64 (/.f64 -1/2 x) (-.f64 (/.f64 1/2 x) x))))
(*.f64 (/.f64 (+.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3))) (+.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) x)) 3))) (+.f64 (*.f64 x (pow.f64 x 3)) (*.f64 (*.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) x)) (-.f64 (*.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) x)) (*.f64 x x)))))
(/.f64 (+.f64 x (/.f64 1/2 x)) (/.f64 (+.f64 x (/.f64 -1/2 x)) (+.f64 x (/.f64 -1/2 x))))
(/.f64 1 (/.f64 1 (+.f64 x (/.f64 1/2 x))))
(/.f64 (fma.f64 x x (/.f64 -1/4 (*.f64 x x))) (+.f64 x (/.f64 -1/2 x)))
(/.f64 (+.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3))) (fma.f64 x x (*.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) x))))
(/.f64 (fma.f64 x x (*.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) x))) (/.f64 (fma.f64 x x (*.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) x))) (+.f64 x (/.f64 1/2 x))))
(/.f64 (sqrt.f64 (fma.f64 x x (/.f64 -1/4 (*.f64 x x)))) (/.f64 (+.f64 x (/.f64 -1/2 x)) (sqrt.f64 (fma.f64 x x (/.f64 -1/4 (*.f64 x x))))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3)))) (/.f64 (fma.f64 x x (*.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) x))) (sqrt.f64 (+.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3))))))
(/.f64 (*.f64 (cbrt.f64 (fma.f64 x x (/.f64 -1/4 (*.f64 x x)))) (cbrt.f64 (fma.f64 x x (/.f64 -1/4 (*.f64 x x))))) (/.f64 (+.f64 x (/.f64 -1/2 x)) (cbrt.f64 (fma.f64 x x (/.f64 -1/4 (*.f64 x x))))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3)))) (cbrt.f64 (+.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3))))) (/.f64 (fma.f64 x x (*.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) x))) (cbrt.f64 (+.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3))))))
(/.f64 (-.f64 (/.f64 1/4 (*.f64 x x)) (*.f64 x x)) (-.f64 (/.f64 1/2 x) x))
(/.f64 (-.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (*.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/8 (pow.f64 x 3)))) (*.f64 (fma.f64 x x (*.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) x))) (-.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3)))))
(/.f64 (-.f64 (*.f64 x (pow.f64 x 3)) (*.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3)))) (*.f64 (+.f64 x (/.f64 -1/2 x)) (+.f64 (*.f64 x x) (/.f64 1/4 (*.f64 x x)))))
(/.f64 (+.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (/.f64 1/8 (pow.f64 x 3)) 3)) (*.f64 (fma.f64 x x (*.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) x))) (+.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (*.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (/.f64 1/8 (pow.f64 x 3)) (pow.f64 x 3))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (/.f64 1/4 (*.f64 x x)) 3)) (*.f64 (+.f64 x (/.f64 -1/2 x)) (+.f64 (*.f64 x (pow.f64 x 3)) (*.f64 (/.f64 1/4 (*.f64 x x)) (+.f64 (*.f64 x x) (/.f64 1/4 (*.f64 x x)))))))
(/.f64 (neg.f64 (fma.f64 x x (/.f64 -1/4 (*.f64 x x)))) (neg.f64 (+.f64 x (/.f64 -1/2 x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3)))) (neg.f64 (fma.f64 x x (*.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) x)))))
(/.f64 (*.f64 (-.f64 (/.f64 1/4 (*.f64 x x)) (*.f64 x x)) 1) (-.f64 (/.f64 1/2 x) x))
(/.f64 (*.f64 (neg.f64 (fma.f64 x x (/.f64 -1/4 (*.f64 x x)))) 1) (neg.f64 (+.f64 x (/.f64 -1/2 x))))
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3)))) 1) (neg.f64 (fma.f64 x x (*.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) x)))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 x x (/.f64 -1/4 (*.f64 x x)))) (sqrt.f64 (+.f64 x (/.f64 1/2 x)))) (sqrt.f64 (+.f64 x (/.f64 -1/2 x))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3)))) (sqrt.f64 (+.f64 x (/.f64 1/2 x)))) (sqrt.f64 (fma.f64 x x (*.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) x)))))
(/.f64 (*.f64 (cbrt.f64 (fma.f64 x x (/.f64 -1/4 (*.f64 x x)))) (pow.f64 (cbrt.f64 (+.f64 x (/.f64 1/2 x))) 2)) (cbrt.f64 (+.f64 x (/.f64 -1/2 x))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3)))) (pow.f64 (cbrt.f64 (+.f64 x (/.f64 1/2 x))) 2)) (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) x)))))
(/.f64 (*.f64 (-.f64 (*.f64 x (pow.f64 x 3)) (*.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3)))) (/.f64 1 (+.f64 x (/.f64 -1/2 x)))) (+.f64 (*.f64 x x) (/.f64 1/4 (*.f64 x x))))
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(pow.f64 (pow.f64 (+.f64 (/.f64 1/2 x) (+.f64 x x)) 3) 1/3)
(neg.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x (/.f64 1/2 x)) 2)) (neg.f64 (+.f64 x (-.f64 (/.f64 -1/2 x) x)))))
(neg.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 1/2 x)) 3)) (neg.f64 (fma.f64 x x (*.f64 (+.f64 x (/.f64 1/2 x)) (+.f64 (/.f64 1/2 x) (-.f64 x x)))))))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 1/2 x) (+.f64 x x)) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 1/2 x) (+.f64 x x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 1/2 x) (+.f64 x x)))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 1/2 x) (+.f64 x x)) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 1/2 x) (+.f64 x x))))
(exp.f64 (log.f64 (+.f64 (/.f64 1/2 x) (+.f64 x x))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 1/2 x) (+.f64 x x))))
(fma.f64 1 x (+.f64 x (/.f64 1/2 x)))
(fma.f64 1 (+.f64 x (/.f64 1/2 x)) x)
(fma.f64 (sqrt.f64 (+.f64 x (/.f64 1/2 x))) (sqrt.f64 (+.f64 x (/.f64 1/2 x))) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 x (/.f64 1/2 x)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 1/2 x))) 2) (cbrt.f64 (+.f64 x (/.f64 1/2 x))) x)
(fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (+.f64 x (/.f64 1/2 x)))
Outputs
(/.f64 1/2 x)
(+.f64 (*.f64 1/2 (/.f64 1 x)) x)
(+.f64 x (/.f64 1/2 x))
(+.f64 (*.f64 1/2 (/.f64 1 x)) x)
(+.f64 x (/.f64 1/2 x))
(+.f64 (*.f64 1/2 (/.f64 1 x)) x)
(+.f64 x (/.f64 1/2 x))
x
(+.f64 (*.f64 1/2 (/.f64 1 x)) x)
(+.f64 x (/.f64 1/2 x))
(+.f64 (*.f64 1/2 (/.f64 1 x)) x)
(+.f64 x (/.f64 1/2 x))
(+.f64 (*.f64 1/2 (/.f64 1 x)) x)
(+.f64 x (/.f64 1/2 x))
x
(+.f64 (*.f64 1/2 (/.f64 1 x)) x)
(+.f64 x (/.f64 1/2 x))
(+.f64 (*.f64 1/2 (/.f64 1 x)) x)
(+.f64 x (/.f64 1/2 x))
(+.f64 (*.f64 1/2 (/.f64 1 x)) x)
(+.f64 x (/.f64 1/2 x))
(/.f64 1/2 x)
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(fma.f64 2 x (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(fma.f64 2 x (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(fma.f64 2 x (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(*.f64 2 x)
(+.f64 x x)
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(fma.f64 2 x (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(fma.f64 2 x (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(fma.f64 2 x (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(*.f64 2 x)
(+.f64 x x)
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(fma.f64 2 x (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(fma.f64 2 x (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(fma.f64 2 x (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(-.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (/.f64 1/2 x)))
(+.f64 (/.f64 1/2 x) (expm1.f64 (log1p.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1/2 x))) (-.f64 1 x))
(+.f64 x (expm1.f64 (log1p.f64 (/.f64 1/2 x))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (/.f64 1/2 x)))) 1)
(+.f64 x (/.f64 1/2 x))
(-.f64 (/.f64 x (/.f64 (+.f64 x (/.f64 -1/2 x)) x)) (/.f64 (/.f64 1/4 (*.f64 x x)) (+.f64 x (/.f64 -1/2 x))))
(-.f64 (*.f64 (/.f64 x (+.f64 x (/.f64 -1/2 x))) x) (/.f64 1/4 (*.f64 (+.f64 x (/.f64 -1/2 x)) (*.f64 x x))))
(fma.f64 (/.f64 x (+.f64 x (/.f64 -1/2 x))) x (/.f64 -1/4 (*.f64 x (*.f64 x (+.f64 x (/.f64 -1/2 x))))))
(-.f64 (+.f64 x (exp.f64 (log1p.f64 (/.f64 1/2 x)))) 1)
(-.f64 (exp.f64 (log1p.f64 (/.f64 1/2 x))) (-.f64 1 x))
(+.f64 x (expm1.f64 (log1p.f64 (/.f64 1/2 x))))
(-.f64 (+.f64 (/.f64 1/2 x) (exp.f64 (log1p.f64 x))) 1)
(-.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (/.f64 1/2 x)))
(+.f64 (/.f64 1/2 x) (expm1.f64 (log1p.f64 x)))
(*.f64 (+.f64 x (/.f64 1/2 x)) 1)
(+.f64 x (/.f64 1/2 x))
(*.f64 1 (+.f64 x (/.f64 1/2 x)))
(+.f64 x (/.f64 1/2 x))
(*.f64 (sqrt.f64 (+.f64 x (/.f64 1/2 x))) (sqrt.f64 (+.f64 x (/.f64 1/2 x))))
(+.f64 x (/.f64 1/2 x))
(*.f64 (cbrt.f64 (+.f64 x (/.f64 1/2 x))) (pow.f64 (cbrt.f64 (+.f64 x (/.f64 1/2 x))) 2))
(+.f64 x (/.f64 1/2 x))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 1/2 x))) 2) (cbrt.f64 (+.f64 x (/.f64 1/2 x))))
(+.f64 x (/.f64 1/2 x))
(*.f64 (fma.f64 x x (/.f64 -1/4 (*.f64 x x))) (/.f64 1 (+.f64 x (/.f64 -1/2 x))))
(/.f64 (*.f64 1 (fma.f64 x x (/.f64 -1/4 (*.f64 x x)))) (+.f64 x (/.f64 -1/2 x)))
(/.f64 (fma.f64 x x (/.f64 -1/4 (*.f64 x x))) (+.f64 x (/.f64 -1/2 x)))
(*.f64 (+.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3))) (/.f64 1 (fma.f64 x x (*.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) x)))))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3))) 1) (fma.f64 x x (*.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) x))))
(/.f64 (+.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3))) (fma.f64 x x (*.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) x))))
(*.f64 (/.f64 1 (+.f64 x (/.f64 -1/2 x))) (fma.f64 x x (/.f64 -1/4 (*.f64 x x))))
(/.f64 (*.f64 1 (fma.f64 x x (/.f64 -1/4 (*.f64 x x)))) (+.f64 x (/.f64 -1/2 x)))
(/.f64 (fma.f64 x x (/.f64 -1/4 (*.f64 x x))) (+.f64 x (/.f64 -1/2 x)))
(*.f64 (/.f64 1 (fma.f64 x x (*.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) x)))) (+.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3))))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3))) 1) (fma.f64 x x (*.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) x))))
(/.f64 (+.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3))) (fma.f64 x x (*.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) x))))
(*.f64 (/.f64 (fma.f64 x x (/.f64 -1/4 (*.f64 x x))) (fma.f64 x x (/.f64 -1/4 (*.f64 x x)))) (+.f64 x (/.f64 1/2 x)))
(+.f64 x (/.f64 1/2 x))
(*.f64 (/.f64 (fma.f64 x x (/.f64 -1/4 (*.f64 x x))) (-.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3)))) (+.f64 (*.f64 x x) (*.f64 (/.f64 1/2 x) (+.f64 x (/.f64 1/2 x)))))
(*.f64 (/.f64 (fma.f64 x x (/.f64 -1/4 (*.f64 x x))) (-.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3)))) (fma.f64 x x (*.f64 (/.f64 1/2 x) (+.f64 x (/.f64 1/2 x)))))
(/.f64 (fma.f64 x x (/.f64 -1/4 (*.f64 x x))) (/.f64 (+.f64 (pow.f64 x 3) (/.f64 -1/8 (pow.f64 x 3))) (fma.f64 (/.f64 1/2 x) (+.f64 x (/.f64 1/2 x)) (*.f64 x x))))
(*.f64 (/.f64 (+.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3))) (-.f64 (*.f64 x (pow.f64 x 3)) (*.f64 (/.f64 1/4 (*.f64 x x)) (*.f64 (-.f64 (/.f64 1/2 x) x) (-.f64 (/.f64 1/2 x) x))))) (+.f64 (*.f64 x x) (*.f64 (/.f64 -1/2 x) (-.f64 (/.f64 1/2 x) x))))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3))) (fma.f64 x x (*.f64 (/.f64 -1/2 x) (-.f64 (/.f64 1/2 x) x)))) (-.f64 (*.f64 x (pow.f64 x 3)) (*.f64 (*.f64 (/.f64 1/4 (*.f64 x x)) (-.f64 (/.f64 1/2 x) x)) (-.f64 (/.f64 1/2 x) x))))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3))) (fma.f64 (/.f64 -1/2 x) (-.f64 (/.f64 1/2 x) x) (*.f64 x x))) (+.f64 (pow.f64 x 4) (*.f64 (*.f64 (/.f64 -1/4 (*.f64 x x)) (-.f64 (/.f64 1/2 x) x)) (-.f64 (/.f64 1/2 x) x))))
(*.f64 (/.f64 (+.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3))) (+.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) x)) 3))) (+.f64 (*.f64 x (pow.f64 x 3)) (*.f64 (*.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) x)) (-.f64 (*.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) x)) (*.f64 x x)))))
(*.f64 (/.f64 (+.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3))) (+.f64 (pow.f64 (*.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) x)) 3) (pow.f64 x 6))) (fma.f64 x (pow.f64 x 3) (*.f64 (/.f64 1/2 x) (*.f64 (-.f64 (/.f64 1/2 x) x) (-.f64 (*.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) x)) (*.f64 x x))))))
(/.f64 (+.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3))) (/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) x)) 3) (pow.f64 x 6)) (fma.f64 (/.f64 1/2 x) (*.f64 (-.f64 (/.f64 1/2 x) x) (fma.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) x) (*.f64 x (neg.f64 x)))) (pow.f64 x 4))))
(/.f64 (+.f64 x (/.f64 1/2 x)) (/.f64 (+.f64 x (/.f64 -1/2 x)) (+.f64 x (/.f64 -1/2 x))))
(+.f64 x (/.f64 1/2 x))
(/.f64 1 (/.f64 1 (+.f64 x (/.f64 1/2 x))))
(+.f64 x (/.f64 1/2 x))
(/.f64 (fma.f64 x x (/.f64 -1/4 (*.f64 x x))) (+.f64 x (/.f64 -1/2 x)))
(/.f64 (*.f64 1 (fma.f64 x x (/.f64 -1/4 (*.f64 x x)))) (+.f64 x (/.f64 -1/2 x)))
(/.f64 (+.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3))) (fma.f64 x x (*.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) x))))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3))) 1) (fma.f64 x x (*.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) x))))
(/.f64 (fma.f64 x x (*.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) x))) (/.f64 (fma.f64 x x (*.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) x))) (+.f64 x (/.f64 1/2 x))))
(+.f64 x (/.f64 1/2 x))
(/.f64 (sqrt.f64 (fma.f64 x x (/.f64 -1/4 (*.f64 x x)))) (/.f64 (+.f64 x (/.f64 -1/2 x)) (sqrt.f64 (fma.f64 x x (/.f64 -1/4 (*.f64 x x))))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 x x (/.f64 -1/4 (*.f64 x x)))) (+.f64 x (/.f64 -1/2 x))) (sqrt.f64 (fma.f64 x x (/.f64 -1/4 (*.f64 x x)))))
(*.f64 (sqrt.f64 (fma.f64 x x (/.f64 -1/4 (*.f64 x x)))) (/.f64 (sqrt.f64 (fma.f64 x x (/.f64 -1/4 (*.f64 x x)))) (+.f64 x (/.f64 -1/2 x))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3)))) (/.f64 (fma.f64 x x (*.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) x))) (sqrt.f64 (+.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3))))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3)))) (fma.f64 x x (*.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) x)))) (sqrt.f64 (+.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3)))))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3)))) (/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3)))) (fma.f64 x x (*.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) x)))))
(/.f64 (*.f64 (cbrt.f64 (fma.f64 x x (/.f64 -1/4 (*.f64 x x)))) (cbrt.f64 (fma.f64 x x (/.f64 -1/4 (*.f64 x x))))) (/.f64 (+.f64 x (/.f64 -1/2 x)) (cbrt.f64 (fma.f64 x x (/.f64 -1/4 (*.f64 x x))))))
(/.f64 (cbrt.f64 (fma.f64 x x (/.f64 -1/4 (*.f64 x x)))) (/.f64 (/.f64 (+.f64 x (/.f64 -1/2 x)) (cbrt.f64 (fma.f64 x x (/.f64 -1/4 (*.f64 x x))))) (cbrt.f64 (fma.f64 x x (/.f64 -1/4 (*.f64 x x))))))
(*.f64 (cbrt.f64 (fma.f64 x x (/.f64 -1/4 (*.f64 x x)))) (/.f64 (cbrt.f64 (fma.f64 x x (/.f64 -1/4 (*.f64 x x)))) (/.f64 (+.f64 x (/.f64 -1/2 x)) (cbrt.f64 (fma.f64 x x (/.f64 -1/4 (*.f64 x x)))))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3)))) (cbrt.f64 (+.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3))))) (/.f64 (fma.f64 x x (*.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) x))) (cbrt.f64 (+.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3))))))
(*.f64 (/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3)))) (cbrt.f64 (+.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3))))) (fma.f64 x x (*.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) x)))) (cbrt.f64 (+.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3)))))
(*.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3)))) (/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3)))) (cbrt.f64 (+.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3))))) (fma.f64 x x (*.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) x)))))
(/.f64 (-.f64 (/.f64 1/4 (*.f64 x x)) (*.f64 x x)) (-.f64 (/.f64 1/2 x) x))
(/.f64 (-.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (*.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/8 (pow.f64 x 3)))) (*.f64 (fma.f64 x x (*.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) x))) (-.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3)))))
(/.f64 (-.f64 (pow.f64 x 6) (*.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/8 (pow.f64 x 3)))) (*.f64 (fma.f64 x x (*.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) x))) (-.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3)))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 6) (/.f64 -1/64 (pow.f64 x 6))) (+.f64 (pow.f64 x 3) (/.f64 -1/8 (pow.f64 x 3)))) (fma.f64 x x (*.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) x))))
(/.f64 (-.f64 (*.f64 x (pow.f64 x 3)) (*.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3)))) (*.f64 (+.f64 x (/.f64 -1/2 x)) (+.f64 (*.f64 x x) (/.f64 1/4 (*.f64 x x)))))
(/.f64 (-.f64 (*.f64 x (pow.f64 x 3)) (*.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3)))) (*.f64 (+.f64 x (/.f64 -1/2 x)) (fma.f64 x x (/.f64 1/4 (*.f64 x x)))))
(/.f64 (-.f64 (pow.f64 x 4) (/.f64 (/.f64 1/16 x) (pow.f64 x 3))) (*.f64 (+.f64 x (/.f64 -1/2 x)) (fma.f64 x x (/.f64 1/4 (*.f64 x x)))))
(/.f64 (+.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (/.f64 1/8 (pow.f64 x 3)) 3)) (*.f64 (fma.f64 x x (*.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) x))) (+.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (*.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (/.f64 1/8 (pow.f64 x 3)) (pow.f64 x 3))))))
(/.f64 (+.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (/.f64 1/8 (pow.f64 x 3)) 3)) (*.f64 (fma.f64 x x (*.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) x))) (+.f64 (pow.f64 x 6) (*.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (/.f64 1/8 (pow.f64 x 3)) (pow.f64 x 3))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (/.f64 1/8 (pow.f64 x 3)) 3)) (fma.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (/.f64 1/8 (pow.f64 x 3)) (pow.f64 x 3)) (pow.f64 x 6))) (fma.f64 x x (*.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) x))))
(/.f64 (-.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (/.f64 1/4 (*.f64 x x)) 3)) (*.f64 (+.f64 x (/.f64 -1/2 x)) (+.f64 (*.f64 x (pow.f64 x 3)) (*.f64 (/.f64 1/4 (*.f64 x x)) (+.f64 (*.f64 x x) (/.f64 1/4 (*.f64 x x)))))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 6) (/.f64 1/64 (pow.f64 x 6))) (+.f64 x (/.f64 -1/2 x))) (fma.f64 x (pow.f64 x 3) (*.f64 (/.f64 1/4 (*.f64 x x)) (fma.f64 x x (/.f64 1/4 (*.f64 x x))))))
(/.f64 (+.f64 (pow.f64 x 6) (/.f64 -1/64 (pow.f64 x 6))) (*.f64 (+.f64 x (/.f64 -1/2 x)) (fma.f64 (/.f64 1/4 (*.f64 x x)) (fma.f64 x x (/.f64 1/4 (*.f64 x x))) (pow.f64 x 4))))
(/.f64 (neg.f64 (fma.f64 x x (/.f64 -1/4 (*.f64 x x)))) (neg.f64 (+.f64 x (/.f64 -1/2 x))))
(/.f64 (neg.f64 (fma.f64 x x (/.f64 -1/4 (*.f64 x x)))) (-.f64 (/.f64 1/2 x) x))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3)))) (neg.f64 (fma.f64 x x (*.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) x)))))
(/.f64 (-.f64 (/.f64 -1/8 (pow.f64 x 3)) (pow.f64 x 3)) (neg.f64 (fma.f64 x x (*.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) x)))))
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(/.f64 (*.f64 (fma.f64 x 2 (/.f64 1/2 x)) (/.f64 1/2 x)) (/.f64 1/2 x))
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 1/2 x)) 3))) 1) (neg.f64 (fma.f64 x x (*.f64 (+.f64 x (/.f64 1/2 x)) (+.f64 (/.f64 1/2 x) (-.f64 x x))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 1/2 x)) 3))) (neg.f64 (fma.f64 x x (*.f64 (+.f64 x (/.f64 1/2 x)) (+.f64 (/.f64 1/2 x) 0)))))
(*.f64 1 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 1/2 x)) 3)) (fma.f64 (/.f64 1/2 x) (+.f64 x (/.f64 1/2 x)) (*.f64 x x))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 1/2 x)) 3))) (sqrt.f64 (+.f64 (/.f64 1/2 x) (+.f64 x x)))) (sqrt.f64 (fma.f64 x x (*.f64 (+.f64 x (/.f64 1/2 x)) (+.f64 (/.f64 1/2 x) (-.f64 x x))))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 1/2 x)) 3))) (/.f64 (sqrt.f64 (fma.f64 x x (*.f64 (+.f64 x (/.f64 1/2 x)) (+.f64 (/.f64 1/2 x) 0)))) (sqrt.f64 (fma.f64 2 x (/.f64 1/2 x)))))
(*.f64 (/.f64 (hypot.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 3/2) (pow.f64 x 3/2)) (sqrt.f64 (fma.f64 (/.f64 1/2 x) (+.f64 x (/.f64 1/2 x)) (*.f64 x x)))) (sqrt.f64 (fma.f64 x 2 (/.f64 1/2 x))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x (/.f64 1/2 x)) 2))) (sqrt.f64 (+.f64 (/.f64 1/2 x) (+.f64 x x)))) (sqrt.f64 (+.f64 x (-.f64 (/.f64 -1/2 x) x))))
(/.f64 (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x (/.f64 1/2 x)) 2))) (/.f64 (sqrt.f64 (+.f64 x (-.f64 (/.f64 -1/2 x) x))) (sqrt.f64 (fma.f64 2 x (/.f64 1/2 x)))))
(/.f64 (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x (/.f64 1/2 x)) 2))) (/.f64 (sqrt.f64 (+.f64 (/.f64 -1/2 x) 0)) (sqrt.f64 (fma.f64 x 2 (/.f64 1/2 x)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 1/2 x)) 3))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1/2 x) (+.f64 x x))) 2)) (cbrt.f64 (fma.f64 x x (*.f64 (+.f64 x (/.f64 1/2 x)) (+.f64 (/.f64 1/2 x) (-.f64 x x))))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x))) 2) (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 1/2 x)) 3)))) (cbrt.f64 (fma.f64 x x (*.f64 (+.f64 x (/.f64 1/2 x)) (+.f64 (/.f64 1/2 x) 0)))))
(*.f64 (/.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 1/2 x)) 3))) (cbrt.f64 (fma.f64 (/.f64 1/2 x) (+.f64 x (/.f64 1/2 x)) (*.f64 x x)))) (pow.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 1/2 x))) 2))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x (/.f64 1/2 x)) 2))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1/2 x) (+.f64 x x))) 2)) (cbrt.f64 (+.f64 x (-.f64 (/.f64 -1/2 x) x))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x))) 2) (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x (/.f64 1/2 x)) 2)))) (cbrt.f64 (+.f64 x (-.f64 (/.f64 -1/2 x) x))))
(*.f64 (/.f64 (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x (/.f64 1/2 x)) 2))) (cbrt.f64 (+.f64 (/.f64 -1/2 x) 0))) (pow.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 1/2 x))) 2))
(/.f64 (*.f64 (-.f64 (*.f64 x (pow.f64 x 3)) (*.f64 (+.f64 x (/.f64 1/2 x)) (pow.f64 (+.f64 x (/.f64 1/2 x)) 3))) (/.f64 1 (+.f64 x (-.f64 (/.f64 -1/2 x) x)))) (+.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 x (pow.f64 x 3)) (*.f64 (+.f64 x (/.f64 1/2 x)) (pow.f64 (+.f64 x (/.f64 1/2 x)) 3))) (*.f64 (+.f64 x (-.f64 (/.f64 -1/2 x) x)) (+.f64 (*.f64 x x) (pow.f64 (+.f64 x (/.f64 1/2 x)) 2))))
(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 (+.f64 x (/.f64 1/2 x)) 4)) (*.f64 (+.f64 (/.f64 -1/2 x) 0) (fma.f64 x x (pow.f64 (+.f64 x (/.f64 1/2 x)) 2))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2) 3)) (/.f64 1 (+.f64 x (-.f64 (/.f64 -1/2 x) x)))) (+.f64 (*.f64 x (pow.f64 x 3)) (*.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2) (+.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2) (*.f64 x x)))))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2) 3)) (*.f64 (+.f64 x (-.f64 (/.f64 -1/2 x) x)) (fma.f64 x (pow.f64 x 3) (*.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2) (+.f64 (*.f64 x x) (pow.f64 (+.f64 x (/.f64 1/2 x)) 2))))))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (+.f64 x (/.f64 1/2 x)) 6)) (*.f64 (+.f64 (/.f64 -1/2 x) 0) (fma.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2) (fma.f64 x x (pow.f64 (+.f64 x (/.f64 1/2 x)) 2)) (pow.f64 x 4))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (*.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 3) (pow.f64 (+.f64 x (/.f64 1/2 x)) 3))) (/.f64 1 (fma.f64 x x (*.f64 (+.f64 x (/.f64 1/2 x)) (+.f64 (/.f64 1/2 x) (-.f64 x x)))))) (-.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 1/2 x)) 3)))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (+.f64 x (/.f64 1/2 x)) 6)) (*.f64 (fma.f64 x x (*.f64 (+.f64 x (/.f64 1/2 x)) (+.f64 (/.f64 1/2 x) 0))) (-.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 1/2 x)) 3))))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (+.f64 x (/.f64 1/2 x)) 6)) (*.f64 (fma.f64 (/.f64 1/2 x) (+.f64 x (/.f64 1/2 x)) (*.f64 x x)) (-.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 1/2 x)) 3))))
(/.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 3) 3)) (/.f64 1 (fma.f64 x x (*.f64 (+.f64 x (/.f64 1/2 x)) (+.f64 (/.f64 1/2 x) (-.f64 x x)))))) (+.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (*.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 3) (-.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 3) (pow.f64 x 3)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 3) 3)) (fma.f64 x x (*.f64 (+.f64 x (/.f64 1/2 x)) (+.f64 (/.f64 1/2 x) 0)))) (+.f64 (pow.f64 x 6) (*.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 3) (-.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 3) (pow.f64 x 3)))))
(/.f64 (+.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 3) 3)) (*.f64 (fma.f64 (/.f64 1/2 x) (+.f64 x (/.f64 1/2 x)) (*.f64 x x)) (fma.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 3) (-.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 3) (pow.f64 x 3)) (pow.f64 x 6))))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x (/.f64 1/2 x)) 2)) 1) (+.f64 x (-.f64 (/.f64 -1/2 x) x)))
(-.f64 (*.f64 (/.f64 x (+.f64 x (-.f64 (/.f64 -1/2 x) x))) x) (/.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2) (+.f64 x (-.f64 (/.f64 -1/2 x) x))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x (/.f64 1/2 x)) 2)) (+.f64 (/.f64 -1/2 x) 0))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x (/.f64 1/2 x)) 2)) (sqrt.f64 (+.f64 x (-.f64 (/.f64 -1/2 x) x)))) (sqrt.f64 (+.f64 x (-.f64 (/.f64 -1/2 x) x))))
(-.f64 (*.f64 (/.f64 x (+.f64 x (-.f64 (/.f64 -1/2 x) x))) x) (/.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2) (+.f64 x (-.f64 (/.f64 -1/2 x) x))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x (/.f64 1/2 x)) 2)) (+.f64 (/.f64 -1/2 x) 0))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x (/.f64 1/2 x)) 2)) (*.f64 (cbrt.f64 (+.f64 x (-.f64 (/.f64 -1/2 x) x))) (cbrt.f64 (+.f64 x (-.f64 (/.f64 -1/2 x) x))))) (cbrt.f64 (+.f64 x (-.f64 (/.f64 -1/2 x) x))))
(-.f64 (*.f64 (/.f64 x (+.f64 x (-.f64 (/.f64 -1/2 x) x))) x) (/.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2) (+.f64 x (-.f64 (/.f64 -1/2 x) x))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x (/.f64 1/2 x)) 2)) (+.f64 (/.f64 -1/2 x) 0))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x (/.f64 1/2 x)) 2)) (+.f64 (sqrt.f64 (+.f64 x (/.f64 1/2 x))) (sqrt.f64 x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x (/.f64 1/2 x)))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x (/.f64 1/2 x)) 2)) (*.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x (/.f64 1/2 x)))) (+.f64 (sqrt.f64 (+.f64 x (/.f64 1/2 x))) (sqrt.f64 x))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x (/.f64 1/2 x)) 2)) (*.f64 (+.f64 (sqrt.f64 (+.f64 x (/.f64 1/2 x))) (sqrt.f64 x)) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x (/.f64 1/2 x))))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 1/2 x)) 3)) 1) (fma.f64 x x (*.f64 (+.f64 x (/.f64 1/2 x)) (+.f64 (/.f64 1/2 x) (-.f64 x x)))))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 1/2 x)) 3)) 1) (fma.f64 x x (*.f64 (+.f64 x (/.f64 1/2 x)) (+.f64 (/.f64 1/2 x) 0))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 1/2 x)) 3)) (fma.f64 (/.f64 1/2 x) (+.f64 x (/.f64 1/2 x)) (*.f64 x x)))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 1/2 x)) 3)) (sqrt.f64 (fma.f64 x x (*.f64 (+.f64 x (/.f64 1/2 x)) (+.f64 (/.f64 1/2 x) (-.f64 x x)))))) (sqrt.f64 (fma.f64 x x (*.f64 (+.f64 x (/.f64 1/2 x)) (+.f64 (/.f64 1/2 x) (-.f64 x x))))))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 1/2 x)) 3)) 1) (fma.f64 x x (*.f64 (+.f64 x (/.f64 1/2 x)) (+.f64 (/.f64 1/2 x) 0))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 1/2 x)) 3)) (fma.f64 (/.f64 1/2 x) (+.f64 x (/.f64 1/2 x)) (*.f64 x x)))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 1/2 x)) 3)) (*.f64 (cbrt.f64 (fma.f64 x x (*.f64 (+.f64 x (/.f64 1/2 x)) (+.f64 (/.f64 1/2 x) (-.f64 x x))))) (cbrt.f64 (fma.f64 x x (*.f64 (+.f64 x (/.f64 1/2 x)) (+.f64 (/.f64 1/2 x) (-.f64 x x))))))) (cbrt.f64 (fma.f64 x x (*.f64 (+.f64 x (/.f64 1/2 x)) (+.f64 (/.f64 1/2 x) (-.f64 x x))))))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 1/2 x)) 3)) 1) (fma.f64 x x (*.f64 (+.f64 x (/.f64 1/2 x)) (+.f64 (/.f64 1/2 x) 0))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 1/2 x)) 3)) (fma.f64 (/.f64 1/2 x) (+.f64 x (/.f64 1/2 x)) (*.f64 x x)))
(pow.f64 (+.f64 (/.f64 1/2 x) (+.f64 x x)) 1)
(fma.f64 2 x (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(pow.f64 (sqrt.f64 (+.f64 (/.f64 1/2 x) (+.f64 x x))) 2)
(fma.f64 2 x (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 1/2 x) (+.f64 x x))) 3)
(fma.f64 2 x (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(pow.f64 (pow.f64 (+.f64 (/.f64 1/2 x) (+.f64 x x)) 3) 1/3)
(fma.f64 2 x (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(neg.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x (/.f64 1/2 x)) 2)) (neg.f64 (+.f64 x (-.f64 (/.f64 -1/2 x) x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2) (*.f64 x x)) (+.f64 (/.f64 1/2 x) 0))
(/.f64 (*.f64 (fma.f64 x 2 (/.f64 1/2 x)) (/.f64 1/2 x)) (/.f64 1/2 x))
(neg.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 1/2 x)) 3)) (neg.f64 (fma.f64 x x (*.f64 (+.f64 x (/.f64 1/2 x)) (+.f64 (/.f64 1/2 x) (-.f64 x x)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 1/2 x)) 3))) (neg.f64 (fma.f64 x x (*.f64 (+.f64 x (/.f64 1/2 x)) (+.f64 (/.f64 1/2 x) 0)))))
(*.f64 1 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 1/2 x)) 3)) (fma.f64 (/.f64 1/2 x) (+.f64 x (/.f64 1/2 x)) (*.f64 x x))))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 1/2 x) (+.f64 x x)) 2))
(sqrt.f64 (pow.f64 (fma.f64 2 x (/.f64 1/2 x)) 2))
(fabs.f64 (fma.f64 x 2 (/.f64 1/2 x)))
(log.f64 (exp.f64 (+.f64 (/.f64 1/2 x) (+.f64 x x))))
(fma.f64 2 x (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 1/2 x) (+.f64 x x)))))
(fma.f64 2 x (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 1/2 x) (+.f64 x x)) 3))
(fma.f64 2 x (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 1/2 x) (+.f64 x x))))
(fma.f64 2 x (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(exp.f64 (log.f64 (+.f64 (/.f64 1/2 x) (+.f64 x x))))
(fma.f64 2 x (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 1/2 x) (+.f64 x x))))
(fma.f64 2 x (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(fma.f64 1 x (+.f64 x (/.f64 1/2 x)))
(fma.f64 2 x (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(fma.f64 1 (+.f64 x (/.f64 1/2 x)) x)
(fma.f64 2 x (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(fma.f64 (sqrt.f64 (+.f64 x (/.f64 1/2 x))) (sqrt.f64 (+.f64 x (/.f64 1/2 x))) x)
(fma.f64 2 x (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 x (/.f64 1/2 x)))
(fma.f64 2 x (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 1/2 x))) 2) (cbrt.f64 (+.f64 x (/.f64 1/2 x))) x)
(fma.f64 2 x (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (+.f64 x (/.f64 1/2 x)))

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
✓0.8b
(-.f64 (hypot.f64 1 x) x)
✓3.1b
(log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))
Compiler

Compiled 26 to 18 computations (30.8% saved)

series2.0ms (0%)

Counts
3 → 36
Calls

9 calls:

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

rewrite73.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
1892×add-sqr-sqrt
1874×*-un-lft-identity
1746×add-cube-cbrt
1728×add-cbrt-cube
184×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0953
118753
2234453
Stop Event
1×node limit
Counts
3 → 94
Calls
Call 1
Inputs
(log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))
(-.f64 (hypot.f64 1 x) x)
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)) (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -2))) (log.f64 (/.f64 1 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (log.f64 (-.f64 (hypot.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 -1) (log.f64 (neg.f64 (-.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) (sqrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2) (cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (log.f64 (-.f64 (hypot.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 (pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2)) (log.f64 (-.f64 (hypot.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3)) (+.f64 0 (+.f64 (pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) (*.f64 0 (log.f64 (-.f64 (hypot.f64 1 x) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (hypot.f64 1 x) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (hypot.f64 1 x) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (hypot.f64 1 x) x) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (hypot.f64 1 x) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (hypot.f64 1 x) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 x) (hypot.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (hypot.f64 1 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (hypot.f64 1 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2) (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x)) (/.f64 1 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (+.f64 1 (*.f64 x x)) (*.f64 x (+.f64 x (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (hypot.f64 1 x)) (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (+.f64 1 (*.f64 x x)) (*.f64 x (+.f64 x (hypot.f64 1 x)))) (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (hypot.f64 1 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2) (/.f64 1 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x)) (+.f64 x (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (+.f64 (+.f64 1 (*.f64 x x)) (*.f64 x (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (hypot.f64 1 x) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x))) (neg.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (+.f64 1 (*.f64 x x)) (*.f64 x (+.f64 x (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (hypot.f64 1 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (neg.f64 x) 3)) (+.f64 (+.f64 1 (*.f64 x x)) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (hypot.f64 1 x) (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (hypot.f64 1 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (hypot.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (hypot.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (hypot.f64 1 x) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 x)) 2) (cbrt.f64 (hypot.f64 1 x)) (neg.f64 x))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2) (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -2)) (/.f64 1 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (-.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x))) (+.f64 x (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (+.f64 (+.f64 1 (*.f64 x x)) (*.f64 x (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) -1) (pow.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2) -1) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (hypot.f64 1 x) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2)) (cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))) (sqrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))))))))

simplify78.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
1522×associate-/r*
1398×associate-/l*
914×associate-*r/
722×+-commutative
698×associate-+l+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
03053606
18353258
233143258
Stop Event
1×node limit
Counts
130 → 219
Calls
Call 1
Inputs
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
1
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1 x) (*.f64 -1/8 (pow.f64 x 4)))))
(/.f64 1/2 x)
(-.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 5/128 (/.f64 1 (pow.f64 x 7)))))
(*.f64 -2 x)
(-.f64 (*.f64 -2 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -2 x) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -2 x) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/16 (/.f64 1 (pow.f64 x 5)))))
1
(+.f64 1 x)
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) x)))
(*.f64 2 x)
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 2 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 2 x) (*.f64 1/16 (/.f64 1 (pow.f64 x 5))))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(/.f64 -1/2 x)
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 5/128 (/.f64 1 (pow.f64 x 7)))) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))
(+.f64 0 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(+.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)) (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -2))) (log.f64 (/.f64 1 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))))
(-.f64 0 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(-.f64 (log.f64 -1) (log.f64 (neg.f64 (-.f64 (hypot.f64 1 x) x))))
(-.f64 (exp.f64 (log1p.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))) 1)
(*.f64 1 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(*.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1)
(*.f64 (sqrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) (sqrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(*.f64 (cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2) (cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(*.f64 -1 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(/.f64 (-.f64 0 (pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2)) (log.f64 (-.f64 (hypot.f64 1 x) x)))
(/.f64 (-.f64 0 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3)) (+.f64 0 (+.f64 (pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) (*.f64 0 (log.f64 (-.f64 (hypot.f64 1 x) x))))))
(pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1)
(pow.f64 (sqrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2)
(pow.f64 (cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 3)
(pow.f64 (pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3) 1/3)
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(sqrt.f64 (pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2))
(cbrt.f64 (pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3))
(expm1.f64 (log1p.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(exp.f64 (log.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 1))
(log1p.f64 (-.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) 1))
(+.f64 (hypot.f64 1 x) (neg.f64 x))
(+.f64 (hypot.f64 1 x) (*.f64 (neg.f64 x) 1))
(+.f64 (-.f64 (hypot.f64 1 x) x) (fma.f64 (neg.f64 x) 1 x))
(+.f64 (-.f64 (hypot.f64 1 x) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(+.f64 (-.f64 (hypot.f64 1 x) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(+.f64 (neg.f64 x) (hypot.f64 1 x))
(*.f64 1 (-.f64 (hypot.f64 1 x) x))
(*.f64 (-.f64 (hypot.f64 1 x) x) 1)
(*.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2) (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x)) (/.f64 1 (+.f64 x (hypot.f64 1 x))))
(*.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (+.f64 1 (*.f64 x x)) (*.f64 x (+.f64 x (hypot.f64 1 x))))))
(*.f64 (+.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)))
(/.f64 1 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))
(/.f64 1 (/.f64 (+.f64 x (hypot.f64 1 x)) (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x))))
(/.f64 1 (/.f64 (+.f64 (+.f64 1 (*.f64 x x)) (*.f64 x (+.f64 x (hypot.f64 1 x)))) (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))))
(/.f64 (-.f64 (hypot.f64 1 x) x) 1)
(/.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2) (/.f64 1 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
(/.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x)) (+.f64 x (hypot.f64 1 x)))
(/.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (+.f64 (+.f64 1 (*.f64 x x)) (*.f64 x (+.f64 x (hypot.f64 1 x)))))
(/.f64 (neg.f64 (-.f64 (hypot.f64 1 x) x)) -1)
(/.f64 (neg.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x))) (neg.f64 (+.f64 x (hypot.f64 1 x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (+.f64 1 (*.f64 x x)) (*.f64 x (+.f64 x (hypot.f64 1 x))))))
(/.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (hypot.f64 1 x) (neg.f64 x)))
(/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (neg.f64 x) 3)) (+.f64 (+.f64 1 (*.f64 x x)) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (hypot.f64 1 x) (neg.f64 x)))))
(pow.f64 (-.f64 (hypot.f64 1 x) x) 1)
(pow.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) 2)
(pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 3)
(pow.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 2))
(log.f64 (exp.f64 (-.f64 (hypot.f64 1 x) x)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (hypot.f64 1 x) x))))
(cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 3))
(expm1.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) x)))
(exp.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(exp.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 1))
(log1p.f64 (expm1.f64 (-.f64 (hypot.f64 1 x) x)))
(fma.f64 1 (hypot.f64 1 x) (neg.f64 x))
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) (neg.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 x)) 2) (cbrt.f64 (hypot.f64 1 x)) (neg.f64 x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))) 1)
(*.f64 1 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) 1)
(*.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2) (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))
(*.f64 (/.f64 1 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -2)) (/.f64 1 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
(*.f64 -1 (/.f64 1 (neg.f64 (-.f64 (hypot.f64 1 x) x))))
(*.f64 (/.f64 1 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x))) (+.f64 x (hypot.f64 1 x)))
(*.f64 (/.f64 1 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (+.f64 (+.f64 1 (*.f64 x x)) (*.f64 x (+.f64 x (hypot.f64 1 x)))))
(*.f64 (pow.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) -1) (pow.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2) -1) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) -1))
(pow.f64 (-.f64 (hypot.f64 1 x) x) -1)
(pow.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) 1)
(pow.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2) 2)
(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 3)
(pow.f64 (pow.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) 3) 1/3)
(pow.f64 (E.f64) (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2)) (cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(pow.f64 (exp.f64 (sqrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))) (sqrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(sqrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -2))
(log.f64 (exp.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))))
(cbrt.f64 (pow.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))))
(exp.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(exp.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) -1))
(log1p.f64 (expm1.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))))
Outputs
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x)))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x))))
(+.f64 (log.f64 2) (+.f64 (log.f64 x) (/.f64 1/4 (*.f64 x x))))
(+.f64 (+.f64 (log.f64 2) (log.f64 x)) (/.f64 1/4 (*.f64 x x)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x)))) (/.f64 3/32 (pow.f64 x 4)))
(+.f64 (log.f64 x) (+.f64 (+.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x))) (/.f64 -3/32 (pow.f64 x 4))))
(+.f64 (+.f64 (log.f64 2) (log.f64 x)) (-.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 3/32 (pow.f64 x 4))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6))))) (/.f64 3/32 (pow.f64 x 4)))
(+.f64 (log.f64 x) (+.f64 (log.f64 2) (-.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6))) (/.f64 3/32 (pow.f64 x 4)))))
(+.f64 (log.f64 x) (+.f64 (/.f64 1/4 (*.f64 x x)) (-.f64 (+.f64 (log.f64 2) (/.f64 5/96 (pow.f64 x 6))) (/.f64 3/32 (pow.f64 x 4)))))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 (/.f64 -1 x)) (-.f64 (log.f64 1/2) (/.f64 1/4 (*.f64 x x))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (/.f64 -1/4 (*.f64 x x))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (/.f64 (/.f64 -1/4 x) x)))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (log.f64 1/2))) (/.f64 1/4 (*.f64 x x)))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (log.f64 1/2) (/.f64 -1/4 (*.f64 x x)))))
(+.f64 (log.f64 1/2) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 (/.f64 -1/4 x) x))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 (/.f64 -1 x)) (-.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (log.f64 1/2)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6)))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (-.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6))))))
(+.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (log.f64 1/2) (+.f64 (log.f64 (/.f64 -1 x)) (-.f64 (/.f64 (/.f64 -1/4 x) x) (/.f64 5/96 (pow.f64 x 6))))))
1
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (neg.f64 x))
(-.f64 1 x)
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(+.f64 1 (-.f64 (*.f64 x (*.f64 x 1/2)) x))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1 x) (*.f64 -1/8 (pow.f64 x 4)))))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (fma.f64 -1 x (*.f64 (pow.f64 x 4) -1/8))))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (-.f64 (*.f64 (pow.f64 x 4) -1/8) x)))
(+.f64 1 (-.f64 (fma.f64 1/2 (*.f64 x x) (*.f64 (pow.f64 x 4) -1/8)) x))
(/.f64 1/2 x)
(-.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3)))
(+.f64 (/.f64 1/2 x) (/.f64 -1/8 (pow.f64 x 3)))
(-.f64 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1/16 (pow.f64 x 5)) (-.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5))) (/.f64 -1/8 (pow.f64 x 3)))
(+.f64 (/.f64 1/2 x) (+.f64 (/.f64 1/16 (pow.f64 x 5)) (/.f64 -1/8 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 5/128 (/.f64 1 (pow.f64 x 7)))))
(-.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5))) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 5/128 (pow.f64 x 7))))
(+.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/16 (pow.f64 x 5)) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 5/128 (pow.f64 x 7)))))
(+.f64 (/.f64 1/2 x) (-.f64 (-.f64 (/.f64 1/16 (pow.f64 x 5)) (/.f64 1/8 (pow.f64 x 3))) (/.f64 5/128 (pow.f64 x 7))))
(*.f64 -2 x)
(*.f64 x -2)
(-.f64 (*.f64 -2 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 x -2) (/.f64 1/2 x))
(fma.f64 x -2 (/.f64 -1/2 x))
(-.f64 (+.f64 (*.f64 -2 x) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (fma.f64 -2 x (/.f64 1/8 (pow.f64 x 3))) (/.f64 1/2 x))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (fma.f64 x -2 (/.f64 -1/2 x)))
(-.f64 (+.f64 (*.f64 -2 x) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/16 (/.f64 1 (pow.f64 x 5)))))
(-.f64 (fma.f64 -2 x (/.f64 1/8 (pow.f64 x 3))) (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5))))
(+.f64 (fma.f64 x -2 (/.f64 1/8 (pow.f64 x 3))) (-.f64 (/.f64 -1/2 x) (/.f64 1/16 (pow.f64 x 5))))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (fma.f64 x -2 (/.f64 -1/2 x)) (/.f64 1/16 (pow.f64 x 5))))
1
(+.f64 1 x)
(+.f64 x 1)
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) x))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) x)))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (fma.f64 -1/8 (pow.f64 x 4) x)))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (fma.f64 (pow.f64 x 4) -1/8 x)))
(*.f64 2 x)
(*.f64 x 2)
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(fma.f64 2 x (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 2 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (fma.f64 2 x (/.f64 1/2 x)) (/.f64 1/8 (pow.f64 x 3)))
(+.f64 (/.f64 1/2 x) (fma.f64 x 2 (/.f64 -1/8 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 2 x) (*.f64 1/16 (/.f64 1 (pow.f64 x 5))))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 1/2 x) (fma.f64 2 x (/.f64 1/16 (pow.f64 x 5)))) (/.f64 1/8 (pow.f64 x 3)))
(+.f64 (+.f64 (/.f64 1/2 x) (fma.f64 x 2 (/.f64 1/16 (pow.f64 x 5)))) (/.f64 -1/8 (pow.f64 x 3)))
(+.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5))) (fma.f64 x 2 (/.f64 -1/8 (pow.f64 x 3))))
(/.f64 -1/2 x)
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x))
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))
(-.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5))))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (/.f64 -1/2 x) (/.f64 1/16 (pow.f64 x 5))))
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 5/128 (/.f64 1 (pow.f64 x 7)))) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (/.f64 5/128 (pow.f64 x 7)) (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5)))))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 5/128 (pow.f64 x 7)) (-.f64 (/.f64 -1/2 x) (/.f64 1/16 (pow.f64 x 5)))))
(+.f64 0 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
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(*.f64 (+.f64 1 (-.f64 (*.f64 x x) (*.f64 x x))) (/.f64 1 (+.f64 x (hypot.f64 1 x))))
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(-.f64 (hypot.f64 1 x) x)
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (hypot.f64 1 x) x))))
(-.f64 (hypot.f64 1 x) x)
(cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 3))
(-.f64 (hypot.f64 1 x) x)
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(-.f64 (hypot.f64 1 x) x)
(exp.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(-.f64 (hypot.f64 1 x) x)
(exp.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 1))
(-.f64 (hypot.f64 1 x) x)
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(-.f64 (hypot.f64 1 x) x)
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(*.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -2)) (/.f64 1 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
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(/.f64 (*.f64 1 (+.f64 x (hypot.f64 1 x))) (+.f64 1 (-.f64 (*.f64 x x) (*.f64 x x))))
(+.f64 x (hypot.f64 1 x))
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(*.f64 (+.f64 (+.f64 1 (*.f64 x x)) (*.f64 x (+.f64 x (hypot.f64 1 x)))) (/.f64 1 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))))
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(/.f64 1 (-.f64 (hypot.f64 1 x) x))
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(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(sqrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -2))
(log.f64 (exp.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(cbrt.f64 (pow.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) 3))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(expm1.f64 (log1p.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(exp.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(exp.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) -1))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(log1p.f64 (expm1.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))))
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(/.f64 -1 (-.f64 x (hypot.f64 1 x)))

eval273.0ms (3%)

Compiler

Compiled 10656 to 7389 computations (30.7% saved)

prune89.0ms (1%)

Pruning

10 alts after pruning (5 fresh and 5 done)

PrunedKeptTotal
New5164520
Fresh011
Picked101
Done055
Total51710527
Error
0.0b
Counts
527 → 10
Alt Table
Click to see full alt table
StatusErrorProgram
▶60.9b
(-.f64 (exp.f64 (log1p.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))) 1)
▶30.5b
(+.f64 (-.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))) 1) x)
✓30.4b
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
▶45.4b
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
▶47.6b
(log.f64 (/.f64 1 (-.f64 (*.f64 x -2) (/.f64 1/2 x))))
✓48.2b
(log.f64 (/.f64 -1/2 x))
✓46.3b
(log.f64 (+.f64 x (hypot.f64 1 x)))
✓48.3b
(log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))
✓48.9b
(log.f64 (+.f64 x x))
29.0b
x
Compiler

Compiled 79 to 60 computations (24.1% saved)

localize36.0ms (0.4%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 (*.f64 x -2) (/.f64 1/2 x))
✓0.1b
(/.f64 1 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))
Compiler

Compiled 37 to 28 computations (24.3% saved)

series1.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite102.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
1304×associate-*r/
906×*-commutative
722×associate-*l/
612×associate-/r*
410×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01044
122136
2277036
Stop Event
1×node limit
Counts
2 → 221
Calls
Call 1
Inputs
(/.f64 1 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))
(-.f64 (*.f64 x -2) (/.f64 1/2 x))
Outputs
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x)) (/.f64 1/4 (*.f64 x x))) (+.f64 (/.f64 -1/2 x) (*.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 (*.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3))) (neg.f64 (+.f64 (*.f64 4 (*.f64 x x)) (*.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x -2 (/.f64 -1/2 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x -2 (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x -2 (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x -2 (/.f64 -1/2 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x -2 (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x -2 (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x -2) (/.f64 -1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x -2 (/.f64 -1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -2 x (/.f64 -1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x -2)) (sqrt.f64 (*.f64 x -2)) (/.f64 -1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x -2)) 2) (cbrt.f64 (*.f64 x -2)) (/.f64 -1/2 x))))))

simplify220.0ms (2.5%)

Algorithm
1×egg-herbie
Rules
966×associate-+r+
934×+-commutative
924×associate-+l+
806×fma-def
670×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
054113441
1147312595
2684212515
Stop Event
1×node limit
Counts
245 → 363
Calls
Call 1
Inputs
(*.f64 -2 x)
(+.f64 (*.f64 -2 x) (*.f64 8 (pow.f64 x 3)))
(+.f64 (*.f64 -2 x) (+.f64 (*.f64 8 (pow.f64 x 3)) (*.f64 -32 (pow.f64 x 5))))
(+.f64 (*.f64 128 (pow.f64 x 7)) (+.f64 (*.f64 -2 x) (+.f64 (*.f64 8 (pow.f64 x 3)) (*.f64 -32 (pow.f64 x 5)))))
(/.f64 -1/2 x)
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/32 (/.f64 1 (pow.f64 x 5)))))
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/128 (/.f64 1 (pow.f64 x 7)))) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/32 (/.f64 1 (pow.f64 x 5)))))
(/.f64 -1/2 x)
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/32 (/.f64 1 (pow.f64 x 5)))))
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/128 (/.f64 1 (pow.f64 x 7)))) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/32 (/.f64 1 (pow.f64 x 5)))))
(/.f64 -1/2 x)
(-.f64 (*.f64 -2 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 -2 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 -2 x) (*.f64 1/2 (/.f64 1 x)))
(*.f64 -2 x)
(-.f64 (*.f64 -2 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 -2 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 -2 x) (*.f64 1/2 (/.f64 1 x)))
(*.f64 -2 x)
(-.f64 (*.f64 -2 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 -2 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 -2 x) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (*.f64 (/.f64 1 (-.f64 (*.f64 4 (*.f64 x x)) (/.f64 1/4 (*.f64 x x)))) (*.f64 x -2)) (*.f64 (/.f64 1 (-.f64 (*.f64 4 (*.f64 x x)) (/.f64 1/4 (*.f64 x x)))) (/.f64 1/2 x)))
(+.f64 (*.f64 (/.f64 1 (-.f64 (*.f64 4 (*.f64 x x)) (/.f64 1/4 (*.f64 x x)))) (/.f64 1/2 x)) (*.f64 (/.f64 1 (-.f64 (*.f64 4 (*.f64 x x)) (/.f64 1/4 (*.f64 x x)))) (*.f64 x -2)))
(+.f64 (*.f64 (/.f64 1 (+.f64 (*.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3)))) (*.f64 4 (*.f64 x x))) (*.f64 (/.f64 1 (+.f64 (*.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3)))) (*.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x)))))
(+.f64 (*.f64 (/.f64 1 (+.f64 (*.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3)))) (*.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x)))) (*.f64 (/.f64 1 (+.f64 (*.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3)))) (*.f64 4 (*.f64 x x))))
(+.f64 (*.f64 (/.f64 1 (+.f64 (*.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3)))) (+.f64 (/.f64 1/4 (*.f64 x x)) (*.f64 4 (*.f64 x x)))) (*.f64 (/.f64 1 (+.f64 (*.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3)))) (*.f64 x (/.f64 -1 x))))
(+.f64 (*.f64 (*.f64 x -2) (/.f64 1 (-.f64 (*.f64 4 (*.f64 x x)) (/.f64 1/4 (*.f64 x x))))) (*.f64 (/.f64 1/2 x) (/.f64 1 (-.f64 (*.f64 4 (*.f64 x x)) (/.f64 1/4 (*.f64 x x))))))
(+.f64 (*.f64 (/.f64 1/2 x) (/.f64 1 (-.f64 (*.f64 4 (*.f64 x x)) (/.f64 1/4 (*.f64 x x))))) (*.f64 (*.f64 x -2) (/.f64 1 (-.f64 (*.f64 4 (*.f64 x x)) (/.f64 1/4 (*.f64 x x))))))
(+.f64 (*.f64 (*.f64 4 (*.f64 x x)) (/.f64 1 (+.f64 (*.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3))))) (*.f64 (*.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x))) (/.f64 1 (+.f64 (*.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3))))))
(+.f64 (*.f64 (*.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x))) (/.f64 1 (+.f64 (*.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3))))) (*.f64 (*.f64 4 (*.f64 x x)) (/.f64 1 (+.f64 (*.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3))))))
(+.f64 (*.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (*.f64 4 (*.f64 x x))) (/.f64 1 (+.f64 (*.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3))))) (*.f64 (*.f64 x (/.f64 -1 x)) (/.f64 1 (+.f64 (*.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x))))) 1)
(*.f64 1 (/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x))))
(*.f64 (/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x))) 1)
(*.f64 (pow.f64 (fma.f64 x -2 (/.f64 -1/2 x)) -1/2) (pow.f64 (fma.f64 x -2 (/.f64 -1/2 x)) -1/2))
(*.f64 (cbrt.f64 (/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x)))) (cbrt.f64 (pow.f64 (fma.f64 x -2 (/.f64 -1/2 x)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x -2 (/.f64 -1/2 x)) -2)) (cbrt.f64 (/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x)))))
(*.f64 (fma.f64 x -2 (/.f64 1/2 x)) (/.f64 1 (-.f64 (*.f64 4 (*.f64 x x)) (/.f64 1/4 (*.f64 x x)))))
(*.f64 (+.f64 (*.f64 4 (*.f64 x x)) (*.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x)))) (/.f64 1 (+.f64 (*.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3)))))
(*.f64 -1 (/.f64 -1 (fma.f64 x -2 (/.f64 -1/2 x))))
(*.f64 (/.f64 -1 (fma.f64 x -2 (/.f64 -1/2 x))) -1)
(*.f64 (/.f64 1 (-.f64 (*.f64 4 (*.f64 x x)) (/.f64 1/4 (*.f64 x x)))) (fma.f64 x -2 (/.f64 1/2 x)))
(*.f64 (/.f64 1 (+.f64 (*.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3)))) (+.f64 (*.f64 4 (*.f64 x x)) (*.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x)))))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 x -2 (/.f64 -1/2 x))) -1) (pow.f64 (sqrt.f64 (fma.f64 x -2 (/.f64 -1/2 x))) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x -2 (/.f64 -1/2 x))) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 x -2 (/.f64 -1/2 x))) -1))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x -2 (/.f64 -1/2 x))) -1) (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x -2 (/.f64 -1/2 x))) 2) -1))
(*.f64 (/.f64 1 (neg.f64 (-.f64 (*.f64 4 (*.f64 x x)) (/.f64 1/4 (*.f64 x x))))) (+.f64 (/.f64 -1/2 x) (*.f64 x 2)))
(*.f64 (/.f64 1 (neg.f64 (+.f64 (*.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3))))) (neg.f64 (+.f64 (*.f64 4 (*.f64 x x)) (*.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x))))))
(*.f64 (/.f64 1 (+.f64 (*.f64 -8 (pow.f64 x 3)) (pow.f64 (/.f64 -1/2 x) 3))) (+.f64 (*.f64 4 (*.f64 x x)) (*.f64 (/.f64 -1/2 x) (-.f64 (/.f64 -1/2 x) (*.f64 x -2)))))
(*.f64 (/.f64 (pow.f64 (fma.f64 x -2 (/.f64 -1/2 x)) -1/2) (sqrt.f64 (-.f64 (*.f64 4 (*.f64 x x)) (/.f64 1/4 (*.f64 x x))))) (sqrt.f64 (fma.f64 x -2 (/.f64 1/2 x))))
(*.f64 (/.f64 (pow.f64 (fma.f64 x -2 (/.f64 -1/2 x)) -1/2) (sqrt.f64 (+.f64 (*.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3))))) (sqrt.f64 (+.f64 (*.f64 4 (*.f64 x x)) (*.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x))))))
(*.f64 (/.f64 -1 (neg.f64 (-.f64 (*.f64 4 (*.f64 x x)) (/.f64 1/4 (*.f64 x x))))) (fma.f64 x -2 (/.f64 1/2 x)))
(*.f64 (/.f64 -1 (neg.f64 (+.f64 (*.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3))))) (+.f64 (*.f64 4 (*.f64 x x)) (*.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x -2 (/.f64 -1/2 x)) -2)) (cbrt.f64 (-.f64 (*.f64 4 (*.f64 x x)) (/.f64 1/4 (*.f64 x x))))) (cbrt.f64 (fma.f64 x -2 (/.f64 1/2 x))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x -2 (/.f64 -1/2 x)) -2)) (cbrt.f64 (+.f64 (*.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3))))) (cbrt.f64 (+.f64 (*.f64 4 (*.f64 x x)) (*.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x))))))
(*.f64 (/.f64 (+.f64 (*.f64 4 (*.f64 x x)) (*.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x)))) (+.f64 (*.f64 (*.f64 -8 (pow.f64 x 3)) (*.f64 -8 (pow.f64 x 3))) (*.f64 (/.f64 -1/8 (pow.f64 x 3)) (/.f64 1/8 (pow.f64 x 3))))) (+.f64 (*.f64 -8 (pow.f64 x 3)) (/.f64 1/8 (pow.f64 x 3))))
(*.f64 (/.f64 (+.f64 (*.f64 4 (*.f64 x x)) (*.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x)))) (-.f64 (pow.f64 (*.f64 -8 (pow.f64 x 3)) 3) (pow.f64 (/.f64 1/8 (pow.f64 x 3)) 3))) (+.f64 (*.f64 (*.f64 -8 (pow.f64 x 3)) (*.f64 -8 (pow.f64 x 3))) (*.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (*.f64 -8 (pow.f64 x 3)) (/.f64 1/8 (pow.f64 x 3))))))
(*.f64 (/.f64 (fma.f64 x -2 (/.f64 1/2 x)) (-.f64 (*.f64 (*.f64 4 (*.f64 x x)) (*.f64 4 (*.f64 x x))) (/.f64 (/.f64 1/8 (pow.f64 x 3)) (*.f64 x 2)))) (+.f64 (/.f64 1/4 (*.f64 x x)) (*.f64 4 (*.f64 x x))))
(*.f64 (/.f64 (fma.f64 x -2 (/.f64 1/2 x)) (-.f64 (pow.f64 (*.f64 4 (*.f64 x x)) 3) (pow.f64 (/.f64 1/4 (*.f64 x x)) 3))) (+.f64 (*.f64 (*.f64 4 (*.f64 x x)) (*.f64 4 (*.f64 x x))) (*.f64 (/.f64 1/4 (*.f64 x x)) (+.f64 (/.f64 1/4 (*.f64 x x)) (*.f64 4 (*.f64 x x))))))
(pow.f64 (fma.f64 x -2 (/.f64 -1/2 x)) -1)
(pow.f64 (/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x))) 1)
(pow.f64 (pow.f64 (fma.f64 x -2 (/.f64 -1/2 x)) -1/2) 2)
(pow.f64 (cbrt.f64 (/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x)))) 3)
(pow.f64 (/.f64 1 (pow.f64 (fma.f64 x -2 (/.f64 -1/2 x)) 3)) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 x -2 (/.f64 -1/2 x)) -2))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x))))))
(cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 x -2 (/.f64 -1/2 x)) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x)))))
(exp.f64 (neg.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x)))))
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(/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 4 (*.f64 x x)) (/.f64 1/4 (*.f64 x x)))) (cbrt.f64 (-.f64 (*.f64 4 (*.f64 x x)) (/.f64 1/4 (*.f64 x x))))) (/.f64 (fma.f64 x -2 (/.f64 1/2 x)) (cbrt.f64 (-.f64 (*.f64 4 (*.f64 x x)) (/.f64 1/4 (*.f64 x x))))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3)))) (cbrt.f64 (+.f64 (*.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3))))) (/.f64 (+.f64 (*.f64 4 (*.f64 x x)) (*.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x)))) (cbrt.f64 (+.f64 (*.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3))))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x -2 (/.f64 -1/2 x))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x -2 (/.f64 -1/2 x))) 2))) (/.f64 (cbrt.f64 (/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x)))) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x -2 (/.f64 -1/2 x))) 2))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 1/2 x) (*.f64 x 2))) (cbrt.f64 (+.f64 (/.f64 1/2 x) (*.f64 x 2)))) (cbrt.f64 (/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x)))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 x -2 (/.f64 -1/2 x)))) (/.f64 -1 (sqrt.f64 (fma.f64 x -2 (/.f64 -1/2 x)))))
(/.f64 (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 x -2 (/.f64 -1/2 x))) 2)) (/.f64 -1 (cbrt.f64 (fma.f64 x -2 (/.f64 -1/2 x)))))
(/.f64 (neg.f64 (-.f64 (*.f64 4 (*.f64 x x)) (/.f64 1/4 (*.f64 x x)))) (+.f64 (/.f64 -1/2 x) (*.f64 x 2)))
(/.f64 (neg.f64 (+.f64 (*.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3)))) (neg.f64 (+.f64 (*.f64 4 (*.f64 x x)) (*.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x))))))
(/.f64 (+.f64 (sqrt.f64 (/.f64 1/2 x)) (sqrt.f64 (*.f64 x -2))) (/.f64 1 (-.f64 (sqrt.f64 (*.f64 x -2)) (sqrt.f64 (/.f64 1/2 x)))))
(/.f64 (+.f64 (*.f64 (*.f64 -8 (pow.f64 x 3)) (*.f64 -8 (pow.f64 x 3))) (*.f64 (/.f64 -1/8 (pow.f64 x 3)) (/.f64 1/8 (pow.f64 x 3)))) (*.f64 (+.f64 (*.f64 4 (*.f64 x x)) (*.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x)))) (+.f64 (*.f64 -8 (pow.f64 x 3)) (/.f64 1/8 (pow.f64 x 3)))))
(/.f64 (-.f64 (*.f64 (*.f64 4 (*.f64 x x)) (*.f64 4 (*.f64 x x))) (/.f64 (/.f64 1/8 (pow.f64 x 3)) (*.f64 x 2))) (*.f64 (fma.f64 x -2 (/.f64 1/2 x)) (+.f64 (/.f64 1/4 (*.f64 x x)) (*.f64 4 (*.f64 x x)))))
(/.f64 (+.f64 (*.f64 -8 (pow.f64 x 3)) (pow.f64 (/.f64 -1/2 x) 3)) (+.f64 (*.f64 4 (*.f64 x x)) (*.f64 (/.f64 -1/2 x) (-.f64 (/.f64 -1/2 x) (*.f64 x -2)))))
(/.f64 (+.f64 (*.f64 -8 (pow.f64 x 3)) (pow.f64 (/.f64 -1/2 x) 3)) (*.f64 1 (+.f64 (*.f64 4 (*.f64 x x)) (*.f64 (/.f64 -1/2 x) (-.f64 (/.f64 -1/2 x) (*.f64 x -2))))))
(/.f64 (-.f64 (pow.f64 (*.f64 -8 (pow.f64 x 3)) 3) (pow.f64 (/.f64 1/8 (pow.f64 x 3)) 3)) (*.f64 (+.f64 (*.f64 4 (*.f64 x x)) (*.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x)))) (+.f64 (*.f64 (*.f64 -8 (pow.f64 x 3)) (*.f64 -8 (pow.f64 x 3))) (*.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (*.f64 -8 (pow.f64 x 3)) (/.f64 1/8 (pow.f64 x 3)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 4 (*.f64 x x)) 3) (pow.f64 (/.f64 1/4 (*.f64 x x)) 3)) (*.f64 (fma.f64 x -2 (/.f64 1/2 x)) (+.f64 (*.f64 (*.f64 4 (*.f64 x x)) (*.f64 4 (*.f64 x x))) (*.f64 (/.f64 1/4 (*.f64 x x)) (+.f64 (/.f64 1/4 (*.f64 x x)) (*.f64 4 (*.f64 x x)))))))
(/.f64 (*.f64 1 (+.f64 (*.f64 -8 (pow.f64 x 3)) (pow.f64 (/.f64 -1/2 x) 3))) (+.f64 (*.f64 4 (*.f64 x x)) (*.f64 (/.f64 -1/2 x) (-.f64 (/.f64 -1/2 x) (*.f64 x -2)))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 x -2 (/.f64 -1/2 x))) (sqrt.f64 (-.f64 (*.f64 4 (*.f64 x x)) (/.f64 1/4 (*.f64 x x))))) (sqrt.f64 (fma.f64 x -2 (/.f64 1/2 x))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 x -2 (/.f64 -1/2 x))) (sqrt.f64 (+.f64 (*.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3))))) (sqrt.f64 (+.f64 (*.f64 4 (*.f64 x x)) (*.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x))))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 x -2 (/.f64 -1/2 x))) 2) (cbrt.f64 (-.f64 (*.f64 4 (*.f64 x x)) (/.f64 1/4 (*.f64 x x))))) (cbrt.f64 (fma.f64 x -2 (/.f64 1/2 x))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 x -2 (/.f64 -1/2 x))) 2) (cbrt.f64 (+.f64 (*.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3))))) (cbrt.f64 (+.f64 (*.f64 4 (*.f64 x x)) (*.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x))))))
(/.f64 (*.f64 (neg.f64 (-.f64 (*.f64 4 (*.f64 x x)) (/.f64 1/4 (*.f64 x x)))) 1) (+.f64 (/.f64 -1/2 x) (*.f64 x 2)))
(/.f64 (*.f64 (neg.f64 (+.f64 (*.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3)))) 1) (neg.f64 (+.f64 (*.f64 4 (*.f64 x x)) (*.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x))))))
(/.f64 (*.f64 (+.f64 (*.f64 -8 (pow.f64 x 3)) (pow.f64 (/.f64 -1/2 x) 3)) 1) (+.f64 (*.f64 4 (*.f64 x x)) (*.f64 (/.f64 -1/2 x) (-.f64 (/.f64 -1/2 x) (*.f64 x -2)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 4 (*.f64 x x)) (/.f64 1/4 (*.f64 x x)))) (sqrt.f64 (fma.f64 x -2 (/.f64 -1/2 x)))) (sqrt.f64 (fma.f64 x -2 (/.f64 1/2 x))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3)))) (sqrt.f64 (fma.f64 x -2 (/.f64 -1/2 x)))) (sqrt.f64 (+.f64 (*.f64 4 (*.f64 x x)) (*.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 4 (*.f64 x x)) (/.f64 1/4 (*.f64 x x)))) (pow.f64 (cbrt.f64 (fma.f64 x -2 (/.f64 -1/2 x))) 2)) (cbrt.f64 (fma.f64 x -2 (/.f64 1/2 x))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3)))) (pow.f64 (cbrt.f64 (fma.f64 x -2 (/.f64 -1/2 x))) 2)) (cbrt.f64 (+.f64 (*.f64 4 (*.f64 x x)) (*.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x))))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 4 (*.f64 x x)) (*.f64 4 (*.f64 x x))) (/.f64 (/.f64 1/8 (pow.f64 x 3)) (*.f64 x 2))) (/.f64 1 (fma.f64 x -2 (/.f64 1/2 x)))) (+.f64 (/.f64 1/4 (*.f64 x x)) (*.f64 4 (*.f64 x x))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 4 (*.f64 x x)) 3) (pow.f64 (/.f64 1/4 (*.f64 x x)) 3)) (/.f64 1 (fma.f64 x -2 (/.f64 1/2 x)))) (+.f64 (*.f64 (*.f64 4 (*.f64 x x)) (*.f64 4 (*.f64 x x))) (*.f64 (/.f64 1/4 (*.f64 x x)) (+.f64 (/.f64 1/4 (*.f64 x x)) (*.f64 4 (*.f64 x x))))))
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 -8 (pow.f64 x 3)) (*.f64 -8 (pow.f64 x 3))) (*.f64 (/.f64 -1/8 (pow.f64 x 3)) (/.f64 1/8 (pow.f64 x 3)))) (/.f64 1 (+.f64 (*.f64 4 (*.f64 x x)) (*.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x)))))) (+.f64 (*.f64 -8 (pow.f64 x 3)) (/.f64 1/8 (pow.f64 x 3))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 -8 (pow.f64 x 3)) 3) (pow.f64 (/.f64 1/8 (pow.f64 x 3)) 3)) (/.f64 1 (+.f64 (*.f64 4 (*.f64 x x)) (*.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x)))))) (+.f64 (*.f64 (*.f64 -8 (pow.f64 x 3)) (*.f64 -8 (pow.f64 x 3))) (*.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (*.f64 -8 (pow.f64 x 3)) (/.f64 1/8 (pow.f64 x 3))))))
(/.f64 (/.f64 1 (pow.f64 (fma.f64 x -2 (/.f64 -1/2 x)) -1/2)) (pow.f64 (fma.f64 x -2 (/.f64 -1/2 x)) -1/2))
(/.f64 (/.f64 1 (cbrt.f64 (/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x))))) (cbrt.f64 (pow.f64 (fma.f64 x -2 (/.f64 -1/2 x)) -2)))
(/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 x -2 (/.f64 -1/2 x)) -2))) (cbrt.f64 (/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x)))))
(/.f64 (/.f64 1 (/.f64 1 (-.f64 (*.f64 4 (*.f64 x x)) (/.f64 1/4 (*.f64 x x))))) (fma.f64 x -2 (/.f64 1/2 x)))
(/.f64 (/.f64 1 (/.f64 1 (+.f64 (*.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3))))) (+.f64 (*.f64 4 (*.f64 x x)) (*.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x)))))
(/.f64 (/.f64 1 (pow.f64 (sqrt.f64 (fma.f64 x -2 (/.f64 -1/2 x))) -1)) (pow.f64 (sqrt.f64 (fma.f64 x -2 (/.f64 -1/2 x))) -1))
(/.f64 (/.f64 1 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x -2 (/.f64 -1/2 x))) 2) -1)) (pow.f64 (cbrt.f64 (fma.f64 x -2 (/.f64 -1/2 x))) -1))
(/.f64 (/.f64 (sqrt.f64 (fma.f64 x -2 (/.f64 -1/2 x))) 1) (pow.f64 (fma.f64 x -2 (/.f64 -1/2 x)) -1/2))
(/.f64 (/.f64 (sqrt.f64 (fma.f64 x -2 (/.f64 -1/2 x))) (cbrt.f64 (/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x))))) (cbrt.f64 (pow.f64 (fma.f64 x -2 (/.f64 -1/2 x)) -1/2)))
(/.f64 (/.f64 (sqrt.f64 (fma.f64 x -2 (/.f64 -1/2 x))) (sqrt.f64 (pow.f64 (fma.f64 x -2 (/.f64 -1/2 x)) -1/2))) (sqrt.f64 (pow.f64 (fma.f64 x -2 (/.f64 -1/2 x)) -1/2)))
(/.f64 (/.f64 (sqrt.f64 (fma.f64 x -2 (/.f64 -1/2 x))) (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x -2 (/.f64 -1/2 x)) -2)))) (sqrt.f64 (cbrt.f64 (/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x))))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x -2 (/.f64 -1/2 x))) 2) 1) (cbrt.f64 (/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x)))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x -2 (/.f64 -1/2 x))) 2) (sqrt.f64 (cbrt.f64 (/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x)))))) (sqrt.f64 (cbrt.f64 (/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x))))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x -2 (/.f64 -1/2 x))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x))))) (cbrt.f64 (cbrt.f64 (/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x))))))) (cbrt.f64 (cbrt.f64 (/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x))))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x -2 (/.f64 -1/2 x))) 2) (cbrt.f64 (pow.f64 (fma.f64 x -2 (/.f64 -1/2 x)) -1/2))) (cbrt.f64 (pow.f64 (fma.f64 x -2 (/.f64 -1/2 x)) -1/2)))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x -2 (/.f64 -1/2 x))) 2) (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x -2 (/.f64 -1/2 x)) -2)))) (cbrt.f64 (cbrt.f64 (/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x))))))
(/.f64 (/.f64 (-.f64 (*.f64 4 (*.f64 x x)) (/.f64 1/4 (*.f64 x x))) (sqrt.f64 (fma.f64 x -2 (/.f64 1/2 x)))) (sqrt.f64 (fma.f64 x -2 (/.f64 1/2 x))))
(/.f64 (/.f64 (-.f64 (*.f64 4 (*.f64 x x)) (/.f64 1/4 (*.f64 x x))) (*.f64 (cbrt.f64 (fma.f64 x -2 (/.f64 1/2 x))) (cbrt.f64 (fma.f64 x -2 (/.f64 1/2 x))))) (cbrt.f64 (fma.f64 x -2 (/.f64 1/2 x))))
(/.f64 (/.f64 (+.f64 (*.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3))) (sqrt.f64 (+.f64 (*.f64 4 (*.f64 x x)) (*.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x)))))) (sqrt.f64 (+.f64 (*.f64 4 (*.f64 x x)) (*.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x))))))
(/.f64 (/.f64 (+.f64 (*.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3))) (*.f64 (cbrt.f64 (+.f64 (*.f64 4 (*.f64 x x)) (*.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x))))) (cbrt.f64 (+.f64 (*.f64 4 (*.f64 x x)) (*.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x))))))) (cbrt.f64 (+.f64 (*.f64 4 (*.f64 x x)) (*.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 4 (*.f64 x x)) (/.f64 1/4 (*.f64 x x))))) (fma.f64 x -2 (/.f64 1/2 x)))
(/.f64 (neg.f64 (neg.f64 (+.f64 (*.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3))))) (+.f64 (*.f64 4 (*.f64 x x)) (*.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x)))))
(pow.f64 (fma.f64 x -2 (/.f64 -1/2 x)) 1)
(pow.f64 (sqrt.f64 (fma.f64 x -2 (/.f64 -1/2 x))) 2)
(pow.f64 (cbrt.f64 (fma.f64 x -2 (/.f64 -1/2 x))) 3)
(pow.f64 (pow.f64 (fma.f64 x -2 (/.f64 -1/2 x)) 3) 1/3)
(neg.f64 (+.f64 (/.f64 1/2 x) (*.f64 x 2)))
(neg.f64 (/.f64 (-.f64 (*.f64 4 (*.f64 x x)) (/.f64 1/4 (*.f64 x x))) (+.f64 (/.f64 -1/2 x) (*.f64 x 2))))
(neg.f64 (/.f64 (+.f64 (*.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3))) (neg.f64 (+.f64 (*.f64 4 (*.f64 x x)) (*.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x)))))))
(sqrt.f64 (pow.f64 (fma.f64 x -2 (/.f64 -1/2 x)) 2))
(log.f64 (exp.f64 (fma.f64 x -2 (/.f64 -1/2 x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x -2 (/.f64 -1/2 x)))))
(cbrt.f64 (pow.f64 (fma.f64 x -2 (/.f64 -1/2 x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x -2 (/.f64 -1/2 x))))
(exp.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x))))
(log1p.f64 (expm1.f64 (fma.f64 x -2 (/.f64 -1/2 x))))
(fma.f64 1 (*.f64 x -2) (/.f64 -1/2 x))
(fma.f64 x -2 (/.f64 -1/2 x))
(fma.f64 -2 x (/.f64 -1/2 x))
(fma.f64 (sqrt.f64 (*.f64 x -2)) (sqrt.f64 (*.f64 x -2)) (/.f64 -1/2 x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x -2)) 2) (cbrt.f64 (*.f64 x -2)) (/.f64 -1/2 x))
Outputs
(*.f64 -2 x)
(+.f64 (*.f64 -2 x) (*.f64 8 (pow.f64 x 3)))
(fma.f64 -2 x (*.f64 8 (pow.f64 x 3)))
(+.f64 (*.f64 -2 x) (+.f64 (*.f64 8 (pow.f64 x 3)) (*.f64 -32 (pow.f64 x 5))))
(fma.f64 -2 x (fma.f64 8 (pow.f64 x 3) (*.f64 -32 (pow.f64 x 5))))
(+.f64 (*.f64 128 (pow.f64 x 7)) (+.f64 (*.f64 -2 x) (+.f64 (*.f64 8 (pow.f64 x 3)) (*.f64 -32 (pow.f64 x 5)))))
(fma.f64 128 (pow.f64 x 7) (fma.f64 -2 x (fma.f64 8 (pow.f64 x 3) (*.f64 -32 (pow.f64 x 5)))))
(/.f64 -1/2 x)
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x))
(+.f64 (/.f64 -1/2 x) (/.f64 1/8 (pow.f64 x 3)))
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/32 (/.f64 1 (pow.f64 x 5)))))
(-.f64 (-.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x)) (/.f64 1/32 (pow.f64 x 5)))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (/.f64 -1/2 x) (/.f64 1/32 (pow.f64 x 5))))
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/128 (/.f64 1 (pow.f64 x 7)))) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/32 (/.f64 1 (pow.f64 x 5)))))
(-.f64 (+.f64 (/.f64 1/128 (pow.f64 x 7)) (/.f64 1/8 (pow.f64 x 3))) (+.f64 (/.f64 1/32 (pow.f64 x 5)) (/.f64 1/2 x)))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (-.f64 (/.f64 1/128 (pow.f64 x 7)) (/.f64 1/2 x)) (/.f64 1/32 (pow.f64 x 5))))
(+.f64 (+.f64 (/.f64 1/128 (pow.f64 x 7)) (/.f64 1/8 (pow.f64 x 3))) (-.f64 (/.f64 -1/2 x) (/.f64 1/32 (pow.f64 x 5))))
(/.f64 -1/2 x)
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x))
(+.f64 (/.f64 -1/2 x) (/.f64 1/8 (pow.f64 x 3)))
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/32 (/.f64 1 (pow.f64 x 5)))))
(-.f64 (-.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x)) (/.f64 1/32 (pow.f64 x 5)))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (/.f64 -1/2 x) (/.f64 1/32 (pow.f64 x 5))))
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/128 (/.f64 1 (pow.f64 x 7)))) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/32 (/.f64 1 (pow.f64 x 5)))))
(-.f64 (+.f64 (/.f64 1/128 (pow.f64 x 7)) (/.f64 1/8 (pow.f64 x 3))) (+.f64 (/.f64 1/32 (pow.f64 x 5)) (/.f64 1/2 x)))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (-.f64 (/.f64 1/128 (pow.f64 x 7)) (/.f64 1/2 x)) (/.f64 1/32 (pow.f64 x 5))))
(+.f64 (+.f64 (/.f64 1/128 (pow.f64 x 7)) (/.f64 1/8 (pow.f64 x 3))) (-.f64 (/.f64 -1/2 x) (/.f64 1/32 (pow.f64 x 5))))
(/.f64 -1/2 x)
(-.f64 (*.f64 -2 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 -2 x) (/.f64 1/2 x))
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(log.f64 (exp.f64 (fma.f64 x -2 (/.f64 -1/2 x))))
(-.f64 (*.f64 -2 x) (/.f64 1/2 x))
(fma.f64 -2 x (/.f64 -1/2 x))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x -2 (/.f64 -1/2 x)))))
(-.f64 (*.f64 -2 x) (/.f64 1/2 x))
(fma.f64 -2 x (/.f64 -1/2 x))
(cbrt.f64 (pow.f64 (fma.f64 x -2 (/.f64 -1/2 x)) 3))
(-.f64 (*.f64 -2 x) (/.f64 1/2 x))
(fma.f64 -2 x (/.f64 -1/2 x))
(expm1.f64 (log1p.f64 (fma.f64 x -2 (/.f64 -1/2 x))))
(-.f64 (*.f64 -2 x) (/.f64 1/2 x))
(fma.f64 -2 x (/.f64 -1/2 x))
(exp.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x))))
(-.f64 (*.f64 -2 x) (/.f64 1/2 x))
(fma.f64 -2 x (/.f64 -1/2 x))
(log1p.f64 (expm1.f64 (fma.f64 x -2 (/.f64 -1/2 x))))
(-.f64 (*.f64 -2 x) (/.f64 1/2 x))
(fma.f64 -2 x (/.f64 -1/2 x))
(fma.f64 1 (*.f64 x -2) (/.f64 -1/2 x))
(-.f64 (*.f64 -2 x) (/.f64 1/2 x))
(fma.f64 -2 x (/.f64 -1/2 x))
(fma.f64 x -2 (/.f64 -1/2 x))
(-.f64 (*.f64 -2 x) (/.f64 1/2 x))
(fma.f64 -2 x (/.f64 -1/2 x))
(fma.f64 -2 x (/.f64 -1/2 x))
(-.f64 (*.f64 -2 x) (/.f64 1/2 x))
(fma.f64 (sqrt.f64 (*.f64 x -2)) (sqrt.f64 (*.f64 x -2)) (/.f64 -1/2 x))
(-.f64 (*.f64 -2 x) (/.f64 1/2 x))
(fma.f64 -2 x (/.f64 -1/2 x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x -2)) 2) (cbrt.f64 (*.f64 x -2)) (/.f64 -1/2 x))
(-.f64 (*.f64 -2 x) (/.f64 1/2 x))
(fma.f64 -2 x (/.f64 -1/2 x))

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.8b
(-.f64 (hypot.f64 1 x) x)
✓3.1b
(log.f64 (-.f64 (hypot.f64 1 x) x))
Compiler

Compiled 24 to 16 computations (33.3% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite54.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
1624×add-sqr-sqrt
1610×*-un-lft-identity
1496×add-cube-cbrt
1480×add-cbrt-cube
160×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0817
115917
2196717
Stop Event
1×node limit
Counts
1 → 21
Calls
Call 1
Inputs
(log.f64 (-.f64 (hypot.f64 1 x) x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (-.f64 (hypot.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2)) (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))) (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x))) (log.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (log.f64 (+.f64 (+.f64 1 (*.f64 x x)) (*.f64 x (+.f64 x (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (-.f64 (hypot.f64 1 x) x) 1))))))

simplify55.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
1066×distribute-lft-in
896×associate-*r*
862×distribute-rgt-in
850×associate-+l-
746×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0114993
1285897
2974897
34199897
Stop Event
1×node limit
Counts
33 → 76
Calls
Call 1
Inputs
(*.f64 -1 x)
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 -1 x))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1 x) (*.f64 -3/40 (pow.f64 x 5))))
(+.f64 (*.f64 5/112 (pow.f64 x 7)) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1 x) (*.f64 -3/40 (pow.f64 x 5)))))
(+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))
(-.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 (/.f64 1 x)) (+.f64 (log.f64 1/2) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 (/.f64 1 x)) (+.f64 (log.f64 1/2) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(+.f64 0 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2)) (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
(+.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))) (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))))
(-.f64 (log.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x))) (log.f64 (+.f64 x (hypot.f64 1 x))))
(-.f64 (log.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (log.f64 (+.f64 (+.f64 1 (*.f64 x x)) (*.f64 x (+.f64 x (hypot.f64 1 x))))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 1)
(*.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 1)
(*.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(*.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 1)
(pow.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2)
(pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3)
(pow.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3) 1/3)
(sqrt.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2))
(cbrt.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3))
(expm1.f64 (log1p.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(exp.f64 (log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(exp.f64 (*.f64 (log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1))
(log1p.f64 (-.f64 (-.f64 (hypot.f64 1 x) x) 1))
Outputs
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 -1 x))
(fma.f64 1/6 (pow.f64 x 3) (neg.f64 x))
(-.f64 (*.f64 1/6 (pow.f64 x 3)) x)
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1 x) (*.f64 -3/40 (pow.f64 x 5))))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1 x (*.f64 -3/40 (pow.f64 x 5))))
(fma.f64 1/6 (pow.f64 x 3) (-.f64 (*.f64 -3/40 (pow.f64 x 5)) x))
(-.f64 (fma.f64 1/6 (pow.f64 x 3) (*.f64 -3/40 (pow.f64 x 5))) x)
(+.f64 (*.f64 5/112 (pow.f64 x 7)) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1 x) (*.f64 -3/40 (pow.f64 x 5)))))
(fma.f64 5/112 (pow.f64 x 7) (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1 x (*.f64 -3/40 (pow.f64 x 5)))))
(fma.f64 5/112 (pow.f64 x 7) (fma.f64 1/6 (pow.f64 x 3) (-.f64 (*.f64 -3/40 (pow.f64 x 5)) x)))
(fma.f64 1/6 (pow.f64 x 3) (-.f64 (fma.f64 -3/40 (pow.f64 x 5) (*.f64 5/112 (pow.f64 x 7))) x))
(+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))
(+.f64 (neg.f64 (log.f64 x)) (log.f64 1/2))
(-.f64 (log.f64 1/2) (log.f64 x))
(-.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (neg.f64 (log.f64 x)) (-.f64 (log.f64 1/2) (/.f64 1/4 (*.f64 x x))))
(+.f64 (-.f64 (log.f64 1/2) (log.f64 x)) (/.f64 -1/4 (*.f64 x x)))
(+.f64 (log.f64 1/2) (-.f64 (/.f64 -1/4 (*.f64 x x)) (log.f64 x)))
(-.f64 (+.f64 (log.f64 (/.f64 1 x)) (+.f64 (log.f64 1/2) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (neg.f64 (log.f64 x)) (-.f64 (+.f64 (log.f64 1/2) (/.f64 3/32 (pow.f64 x 4))) (/.f64 1/4 (*.f64 x x))))
(+.f64 (-.f64 (log.f64 1/2) (log.f64 x)) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (/.f64 -1/4 (*.f64 x x))))
(+.f64 (log.f64 1/2) (+.f64 (-.f64 (/.f64 3/32 (pow.f64 x 4)) (log.f64 x)) (/.f64 -1/4 (*.f64 x x))))
(-.f64 (+.f64 (log.f64 (/.f64 1 x)) (+.f64 (log.f64 1/2) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (neg.f64 (log.f64 x)) (-.f64 (+.f64 (log.f64 1/2) (/.f64 3/32 (pow.f64 x 4))) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6)))))
(-.f64 (-.f64 (+.f64 (log.f64 1/2) (/.f64 3/32 (pow.f64 x 4))) (log.f64 x)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6))))
(+.f64 (+.f64 (+.f64 (/.f64 -1/4 (*.f64 x x)) (/.f64 -5/96 (pow.f64 x 6))) (-.f64 (log.f64 1/2) (log.f64 x))) (/.f64 3/32 (pow.f64 x 4)))
(+.f64 (+.f64 (log.f64 1/2) (/.f64 -1/4 (*.f64 x x))) (-.f64 (/.f64 3/32 (pow.f64 x 4)) (-.f64 (log.f64 x) (/.f64 -5/96 (pow.f64 x 6)))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 2))
(-.f64 (log.f64 2) (log.f64 (/.f64 -1 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 2)) (/.f64 1/4 (*.f64 x x)))
(-.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (log.f64 2)) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 2) (-.f64 (/.f64 1/4 (*.f64 x x)) (log.f64 (/.f64 -1 x))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 2)) (/.f64 1/4 (*.f64 x x))) (/.f64 3/32 (pow.f64 x 4)))
(-.f64 (-.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (log.f64 2)) (log.f64 (/.f64 -1 x))) (/.f64 3/32 (pow.f64 x 4)))
(+.f64 (log.f64 2) (+.f64 (-.f64 (/.f64 1/4 (*.f64 x x)) (log.f64 (/.f64 -1 x))) (/.f64 -3/32 (pow.f64 x 4))))
(+.f64 (/.f64 1/4 (*.f64 x x)) (+.f64 (log.f64 2) (-.f64 (/.f64 -3/32 (pow.f64 x 4)) (log.f64 (/.f64 -1 x)))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 2)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6)))) (/.f64 3/32 (pow.f64 x 4)))
(+.f64 (-.f64 (log.f64 2) (log.f64 (/.f64 -1 x))) (+.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6))) (/.f64 -3/32 (pow.f64 x 4))))
(+.f64 (+.f64 (log.f64 2) (-.f64 (/.f64 1/4 (*.f64 x x)) (log.f64 (/.f64 -1 x)))) (+.f64 (/.f64 5/96 (pow.f64 x 6)) (/.f64 -3/32 (pow.f64 x 4))))
(+.f64 (/.f64 1/4 (*.f64 x x)) (-.f64 (/.f64 -3/32 (pow.f64 x 4)) (-.f64 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 5/96 (pow.f64 x 6)) (log.f64 2)))))
(+.f64 0 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(log.f64 (-.f64 (hypot.f64 1 x) x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2)) (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))) (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
(*.f64 3 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
(+.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))) (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))))
(*.f64 2 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))))
(-.f64 (log.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x))) (log.f64 (+.f64 x (hypot.f64 1 x))))
(-.f64 (log.f64 (+.f64 1 (-.f64 (*.f64 x x) (*.f64 x x)))) (log.f64 (+.f64 x (hypot.f64 1 x))))
(neg.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(-.f64 (log.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (log.f64 (+.f64 (+.f64 1 (*.f64 x x)) (*.f64 x (+.f64 x (hypot.f64 1 x))))))
(-.f64 (log.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (log1p.f64 (*.f64 x (+.f64 x (+.f64 x (hypot.f64 1 x))))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 1)
(log.f64 (-.f64 (hypot.f64 1 x) x))
(*.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(log.f64 (-.f64 (hypot.f64 1 x) x))
(*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 1)
(log.f64 (-.f64 (hypot.f64 1 x) x))
(*.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(log.f64 (-.f64 (hypot.f64 1 x) x))
(*.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2))
(log.f64 (-.f64 (hypot.f64 1 x) x))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(log.f64 (-.f64 (hypot.f64 1 x) x))
(pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 1)
(log.f64 (-.f64 (hypot.f64 1 x) x))
(pow.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2)
(log.f64 (-.f64 (hypot.f64 1 x) x))
(pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3)
(log.f64 (-.f64 (hypot.f64 1 x) x))
(pow.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3) 1/3)
(log.f64 (-.f64 (hypot.f64 1 x) x))
(sqrt.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2))
(log.f64 (-.f64 (hypot.f64 1 x) x))
(cbrt.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3))
(log.f64 (-.f64 (hypot.f64 1 x) x))
(expm1.f64 (log1p.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(log.f64 (-.f64 (hypot.f64 1 x) x))
(exp.f64 (log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(log.f64 (-.f64 (hypot.f64 1 x) x))
(exp.f64 (*.f64 (log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1))
(log.f64 (-.f64 (hypot.f64 1 x) x))
(log1p.f64 (-.f64 (-.f64 (hypot.f64 1 x) x) 1))
(log1p.f64 (+.f64 (-.f64 (hypot.f64 1 x) x) -1))
(log1p.f64 (+.f64 -1 (-.f64 (hypot.f64 1 x) x)))

localize66.0ms (0.7%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.2b
(*.f64 -1/6 (pow.f64 x 3))
✓0.8b
(-.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))) 1)
Compiler

Compiled 40 to 33 computations (17.5% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite62.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
1988×add-sqr-sqrt
1952×*-un-lft-identity
1852×add-cube-cbrt
1842×add-cbrt-cube
204×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01025
122413
2279113
Stop Event
1×node limit
Counts
1 → 47
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))) 1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (fma.f64 -1/6 (pow.f64 x 3) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/6 (pow.f64 x 3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (fma.f64 -1/6 (pow.f64 x 3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 -1/6 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/6 (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (*.f64 x x) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 3) -1/6)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1/6 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 -1/6 (pow.f64 x 3))) (sqrt.f64 (*.f64 -1/6 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 3/2) (*.f64 (pow.f64 x 3/2) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (cbrt.f64 -1/6)) (pow.f64 (*.f64 x (cbrt.f64 -1/6)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (cbrt.f64 -1/6)) 2) (*.f64 x (cbrt.f64 -1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (*.f64 x -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) -1) (/.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1/6 x) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1/6 (pow.f64 x 3/2)) (pow.f64 x 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1/6 (*.f64 x x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) 1) (-.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) 2) (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) 2)) (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) -1) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) -1) (-.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) (-.f64 1 (*.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) (fma.f64 -1/6 (pow.f64 x 3) -1))) (-.f64 1 (fma.f64 -1/6 (pow.f64 x 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) 3)) (+.f64 1 (-.f64 (*.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) (fma.f64 -1/6 (pow.f64 x 3) -1)) (fma.f64 -1/6 (pow.f64 x 3) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) -1)) (neg.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -1/6 (pow.f64 x 3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (cbrt.f64 -1/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 6) 1/36))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -1/6 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -1/6 (pow.f64 x 3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 -1/6 (pow.f64 x 3) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) 2) (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) -1)))))

simplify69.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
1284×associate--l+
1212×associate-/r*
1130×associate-+r-
1122×associate-*r*
1012×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01201455
12811381
29111369
345791369
Stop Event
1×node limit
Counts
59 → 57
Calls
Call 1
Inputs
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) -1))
(+.f64 1 (*.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) 1))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) 0)
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) -1)
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) 1)
(+.f64 -1 (fma.f64 -1/6 (pow.f64 x 3) 1))
(*.f64 1 (*.f64 -1/6 (pow.f64 x 3)))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 x (*.f64 (*.f64 x x) -1/6))
(*.f64 (pow.f64 x 3) -1/6)
(*.f64 (*.f64 -1/6 (pow.f64 x 3)) 1)
(*.f64 (sqrt.f64 (*.f64 -1/6 (pow.f64 x 3))) (sqrt.f64 (*.f64 -1/6 (pow.f64 x 3))))
(*.f64 (pow.f64 x 3/2) (*.f64 (pow.f64 x 3/2) -1/6))
(*.f64 (*.f64 x (cbrt.f64 -1/6)) (pow.f64 (*.f64 x (cbrt.f64 -1/6)) 2))
(*.f64 (pow.f64 (*.f64 x (cbrt.f64 -1/6)) 2) (*.f64 x (cbrt.f64 -1/6)))
(*.f64 (*.f64 x x) (*.f64 x -1/6))
(*.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) -1) (/.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) 2)))
(*.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) 2))))
(*.f64 (*.f64 -1/6 x) (*.f64 x x))
(*.f64 (*.f64 -1/6 (pow.f64 x 3/2)) (pow.f64 x 3/2))
(*.f64 (*.f64 -1/6 (*.f64 x x)) x)
(*.f64 (+.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) 1) (-.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) 1))
(/.f64 1 (/.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) 2) (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) -1)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) 2)) (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3) -1)))
(/.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) -1) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) 2))
(/.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) -1) (-.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) -1))
(/.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) 2)))
(/.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) (-.f64 1 (*.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) -1))))
(/.f64 (-.f64 1 (*.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) (fma.f64 -1/6 (pow.f64 x 3) -1))) (-.f64 1 (fma.f64 -1/6 (pow.f64 x 3) -1)))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) 3)) (+.f64 1 (-.f64 (*.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) (fma.f64 -1/6 (pow.f64 x 3) -1)) (fma.f64 -1/6 (pow.f64 x 3) -1))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) -1)) (neg.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) 2)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) 2))))
(pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 1)
(pow.f64 (sqrt.f64 (*.f64 -1/6 (pow.f64 x 3))) 2)
(pow.f64 (*.f64 x (cbrt.f64 -1/6)) 3)
(pow.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216) 1/3)
(sqrt.f64 (*.f64 (pow.f64 x 6) 1/36))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3)))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216))
(expm1.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3))))
(exp.f64 (log.f64 (*.f64 -1/6 (pow.f64 x 3))))
(exp.f64 (*.f64 (log.f64 (*.f64 -1/6 (pow.f64 x 3))) 1))
(log1p.f64 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3))))
(fma.f64 1 (fma.f64 -1/6 (pow.f64 x 3) 1) -1)
(fma.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) -1)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) 2) (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) -1)
Outputs
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) -1))
(*.f64 -1/6 (pow.f64 x 3))
(+.f64 1 (*.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) 1))
(*.f64 -1/6 (pow.f64 x 3))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) 0)
(*.f64 -1/6 (pow.f64 x 3))
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) -1)
(*.f64 -1/6 (pow.f64 x 3))
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) 1)
(*.f64 -1/6 (pow.f64 x 3))
(+.f64 -1 (fma.f64 -1/6 (pow.f64 x 3) 1))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 1 (*.f64 -1/6 (pow.f64 x 3)))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 x (*.f64 (*.f64 x x) -1/6))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -1/6)
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 (*.f64 -1/6 (pow.f64 x 3)) 1)
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 (sqrt.f64 (*.f64 -1/6 (pow.f64 x 3))) (sqrt.f64 (*.f64 -1/6 (pow.f64 x 3))))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 (pow.f64 x 3/2) (*.f64 (pow.f64 x 3/2) -1/6))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 (*.f64 x (cbrt.f64 -1/6)) (pow.f64 (*.f64 x (cbrt.f64 -1/6)) 2))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 (pow.f64 (*.f64 x (cbrt.f64 -1/6)) 2) (*.f64 x (cbrt.f64 -1/6)))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 (*.f64 x x) (*.f64 x -1/6))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) -1) (/.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) 2)))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2)) (/.f64 1 (fma.f64 -1/6 (pow.f64 x 3) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2)) (fma.f64 -1/6 (pow.f64 x 3) 2))
(*.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) 2))))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) (fma.f64 -1/6 (pow.f64 x 3) 2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3)) (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) (fma.f64 -1/6 (pow.f64 x 3) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3)) (+.f64 2 (fma.f64 -1/6 (pow.f64 x 3) (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3)) (+.f64 1 (*.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) (fma.f64 -1/6 (pow.f64 x 3) 2))))
(*.f64 (*.f64 -1/6 x) (*.f64 x x))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 (*.f64 -1/6 (pow.f64 x 3/2)) (pow.f64 x 3/2))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 (*.f64 -1/6 (*.f64 x x)) x)
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 (+.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) 1) (-.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) 1))
(*.f64 -1/6 (pow.f64 x 3))
(/.f64 1 (/.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) 2) (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) -1)))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2)) (/.f64 1 (fma.f64 -1/6 (pow.f64 x 3) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2)) (fma.f64 -1/6 (pow.f64 x 3) 2))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) 2)) (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3) -1)))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) (fma.f64 -1/6 (pow.f64 x 3) 2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3)) (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) (fma.f64 -1/6 (pow.f64 x 3) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3)) (+.f64 2 (fma.f64 -1/6 (pow.f64 x 3) (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3)) (+.f64 1 (*.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) (fma.f64 -1/6 (pow.f64 x 3) 2))))
(/.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) -1) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) 2))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2)) (/.f64 1 (fma.f64 -1/6 (pow.f64 x 3) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2)) (fma.f64 -1/6 (pow.f64 x 3) 2))
(/.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) -1) (-.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) -1))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2)) (/.f64 1 (fma.f64 -1/6 (pow.f64 x 3) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2)) (fma.f64 -1/6 (pow.f64 x 3) 2))
(/.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) 2)))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) (fma.f64 -1/6 (pow.f64 x 3) 2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3)) (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) (fma.f64 -1/6 (pow.f64 x 3) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3)) (+.f64 2 (fma.f64 -1/6 (pow.f64 x 3) (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3)) (+.f64 1 (*.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) (fma.f64 -1/6 (pow.f64 x 3) 2))))
(/.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) (-.f64 1 (*.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) -1))))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) (fma.f64 -1/6 (pow.f64 x 3) 2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3)) (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) (fma.f64 -1/6 (pow.f64 x 3) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3)) (+.f64 2 (fma.f64 -1/6 (pow.f64 x 3) (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3)) (+.f64 1 (*.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) (fma.f64 -1/6 (pow.f64 x 3) 2))))
(/.f64 (-.f64 1 (*.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) (fma.f64 -1/6 (pow.f64 x 3) -1))) (-.f64 1 (fma.f64 -1/6 (pow.f64 x 3) -1)))
(/.f64 (fma.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) (fma.f64 (pow.f64 x 3) 1/6 1) 1) (+.f64 (*.f64 (pow.f64 x 3) 1/6) 2))
(/.f64 (fma.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) (fma.f64 (pow.f64 x 3) 1/6 1) 1) (+.f64 2 (*.f64 (pow.f64 x 3) 1/6)))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) 3)) (+.f64 1 (-.f64 (*.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) (fma.f64 -1/6 (pow.f64 x 3) -1)) (fma.f64 -1/6 (pow.f64 x 3) -1))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) 3)) (+.f64 1 (*.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) (-.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) 1))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) 3)) (fma.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) -2) 1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) -1)) (neg.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) 2)))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2)) (/.f64 1 (fma.f64 -1/6 (pow.f64 x 3) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2)) (fma.f64 -1/6 (pow.f64 x 3) 2))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) 2))))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) (fma.f64 -1/6 (pow.f64 x 3) 2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3)) (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) (fma.f64 -1/6 (pow.f64 x 3) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3)) (+.f64 2 (fma.f64 -1/6 (pow.f64 x 3) (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3)) (+.f64 1 (*.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) (fma.f64 -1/6 (pow.f64 x 3) 2))))
(pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 1)
(*.f64 -1/6 (pow.f64 x 3))
(pow.f64 (sqrt.f64 (*.f64 -1/6 (pow.f64 x 3))) 2)
(*.f64 -1/6 (pow.f64 x 3))
(pow.f64 (*.f64 x (cbrt.f64 -1/6)) 3)
(*.f64 -1/6 (pow.f64 x 3))
(pow.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216) 1/3)
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216))
(sqrt.f64 (*.f64 (pow.f64 x 6) 1/36))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6))
(*.f64 -1/6 (pow.f64 x 3))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3)))))
(*.f64 -1/6 (pow.f64 x 3))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216))
(expm1.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3))))
(*.f64 -1/6 (pow.f64 x 3))
(exp.f64 (log.f64 (*.f64 -1/6 (pow.f64 x 3))))
(*.f64 -1/6 (pow.f64 x 3))
(exp.f64 (*.f64 (log.f64 (*.f64 -1/6 (pow.f64 x 3))) 1))
(*.f64 -1/6 (pow.f64 x 3))
(log1p.f64 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3))))
(*.f64 -1/6 (pow.f64 x 3))
(fma.f64 1 (fma.f64 -1/6 (pow.f64 x 3) 1) -1)
(*.f64 -1/6 (pow.f64 x 3))
(fma.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) -1)
(*.f64 -1/6 (pow.f64 x 3))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) 2) (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) -1)
(*.f64 -1/6 (pow.f64 x 3))

localize64.0ms (0.7%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(exp.f64 (log1p.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
0.8b
(-.f64 (hypot.f64 1 x) x)
3.1b
(log.f64 (-.f64 (hypot.f64 1 x) x))
✓3.1b
(-.f64 (exp.f64 (log1p.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))) 1)
Compiler

Compiled 52 to 38 computations (26.9% saved)

series6.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(-.f64 (exp.f64 (log1p.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))) 1)
2.0ms
x
@inf
(-.f64 (exp.f64 (log1p.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))) 1)
1.0ms
x
@0
(-.f64 (exp.f64 (log1p.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))) 1)
1.0ms
x
@inf
(exp.f64 (log1p.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
0.0ms
x
@-inf
(exp.f64 (log1p.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))

rewrite100.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
990×associate-*r/
884×*-commutative
706×associate-*l/
596×distribute-lft-in
550×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01250
125240
2299940
Stop Event
1×node limit
Counts
2 → 222
Calls
Call 1
Inputs
(-.f64 (exp.f64 (log1p.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))) 1)
(exp.f64 (log1p.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) (log.f64 (-.f64 (hypot.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (-.f64 (hypot.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 0 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 2 (log.f64 (-.f64 (hypot.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 0 (log.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))) (log.f64 (+.f64 1 (+.f64 (*.f64 x x) (*.f64 x (+.f64 x (hypot.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 0 (/.f64 (pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) (log.f64 (-.f64 (hypot.f64 1 x) x)))) (/.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 0 (/.f64 (pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3) (+.f64 1 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2)))) (/.f64 1 (+.f64 1 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 0) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (+.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (+.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) (+.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2) (/.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2) (+.f64 (/.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) (/.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2) (neg.f64 (/.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 0 (log.f64 (-.f64 (hypot.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (log.f64 (-.f64 (hypot.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3)) (/.f64 1 (+.f64 1 (pow.f64 (log.f64 (-.f64 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(-.f64 (hypot.f64 1 x) x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2)) (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3)) (+.f64 1 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (-.f64 1 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2))) (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (+.f64 1 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3))) (+.f64 1 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2)) 1) (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x 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x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log1p.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2)) (cbrt.f64 (log1p.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))) (sqrt.f64 (log1p.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))))))))

simplify175.0ms (2%)

Algorithm
1×egg-herbie
Rules
742×associate-+r-
702×times-frac
628×associate-/r*
570×associate-*r*
568×fma-def
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
055414282
1156912854
2766412854
Stop Event
1×node limit
Counts
246 → 360
Calls
Call 1
Inputs
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x)))
(*.f64 -1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)))
(+.f64 (*.f64 -1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (*.f64 -1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 (-.f64 1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))) 2))) (*.f64 -1/24 (+.f64 (*.f64 9/4 (/.f64 1 (-.f64 1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))))) (*.f64 3/4 (/.f64 1 (pow.f64 (-.f64 1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))) 2)))))) (-.f64 1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)))) (pow.f64 x 4)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/720 (+.f64 (*.f64 135/8 (/.f64 1 (pow.f64 (-.f64 1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))) 2))) (+.f64 (*.f64 15/4 (/.f64 1 (pow.f64 (-.f64 1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))) 3))) (*.f64 75/2 (/.f64 1 (-.f64 1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)))))))) (+.f64 (*.f64 -1/96 (/.f64 (+.f64 (*.f64 9/4 (/.f64 1 (-.f64 1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))))) (*.f64 3/4 (/.f64 1 (pow.f64 (-.f64 1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))) 2)))) (-.f64 1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))))) (*.f64 1/384 (/.f64 1 (pow.f64 (-.f64 1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))) 3))))) (-.f64 1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)))) (pow.f64 x 6)) (+.f64 (*.f64 -1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 (-.f64 1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))) 2))) (*.f64 -1/24 (+.f64 (*.f64 9/4 (/.f64 1 (-.f64 1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))))) (*.f64 3/4 (/.f64 1 (pow.f64 (-.f64 1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))) 2)))))) (-.f64 1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)))) (pow.f64 x 4)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2)))
(-.f64 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2))) (/.f64 (*.f64 (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 (-.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2))) 2))) (*.f64 1/24 (-.f64 (*.f64 9/4 (/.f64 1 (-.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2))))) (*.f64 3/4 (/.f64 1 (pow.f64 (-.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2))) 2)))))) (-.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2)))) (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/720 (-.f64 (*.f64 135/8 (/.f64 1 (pow.f64 (-.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2))) 2))) (+.f64 (*.f64 75/2 (/.f64 1 (-.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2))))) (*.f64 15/4 (/.f64 1 (pow.f64 (-.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2))) 3)))))) (*.f64 -1/96 (/.f64 (-.f64 (*.f64 9/4 (/.f64 1 (-.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2))))) (*.f64 3/4 (/.f64 1 (pow.f64 (-.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2))) 2)))) (-.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2)))))) (*.f64 1/384 (/.f64 1 (pow.f64 (-.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2))) 3)))) (-.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2)))) (pow.f64 x 6)) (+.f64 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2))) (/.f64 (*.f64 (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 (-.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2))) 2))) (*.f64 1/24 (-.f64 (*.f64 9/4 (/.f64 1 (-.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2))))) (*.f64 3/4 (/.f64 1 (pow.f64 (-.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2))) 2)))))) (-.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2)))) (pow.f64 x 4)))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
1
(+.f64 1 x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 1 x))
(+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 1 x)))
(-.f64 1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)))
(-.f64 (+.f64 1 (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))) (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)))
(-.f64 (+.f64 1 (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 (-.f64 1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))) 2))) (*.f64 -1/24 (+.f64 (*.f64 9/4 (/.f64 1 (-.f64 1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))))) (*.f64 3/4 (/.f64 1 (pow.f64 (-.f64 1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))) 2)))))) (-.f64 1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)))) (pow.f64 x 4)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)))
(-.f64 (+.f64 1 (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/384 (/.f64 1 (pow.f64 (-.f64 1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))) 3))) (+.f64 (*.f64 1/720 (+.f64 (*.f64 135/8 (/.f64 1 (pow.f64 (-.f64 1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))) 2))) (+.f64 (*.f64 15/4 (/.f64 1 (pow.f64 (-.f64 1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))) 3))) (*.f64 75/2 (/.f64 1 (-.f64 1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)))))))) (*.f64 -1/96 (/.f64 (+.f64 (*.f64 9/4 (/.f64 1 (-.f64 1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))))) (*.f64 3/4 (/.f64 1 (pow.f64 (-.f64 1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))) 2)))) (-.f64 1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))))))) (-.f64 1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)))) (pow.f64 x 6)) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 (-.f64 1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))) 2))) (*.f64 -1/24 (+.f64 (*.f64 9/4 (/.f64 1 (-.f64 1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))))) (*.f64 3/4 (/.f64 1 (pow.f64 (-.f64 1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))) 2)))))) (-.f64 1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)))) (pow.f64 x 4)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)))
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(-.f64 2 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(-.f64 (/.f64 (pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) (log.f64 (-.f64 (hypot.f64 1 x) x))) (-.f64 (/.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1))
(-.f64 (/.f64 (pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3) (+.f64 1 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2))) (-.f64 (/.f64 1 (+.f64 1 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2))) 1))
(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (+.f64 x (hypot.f64 1 x))))
(-.f64 (+.f64 1 (log.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))) (log.f64 (+.f64 1 (+.f64 (*.f64 x x) (*.f64 x (+.f64 x (hypot.f64 1 x)))))))
(-.f64 (+.f64 1 (/.f64 (pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) (log.f64 (-.f64 (hypot.f64 1 x) x)))) (/.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(-.f64 (+.f64 1 (/.f64 (pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3) (+.f64 1 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2)))) (/.f64 1 (+.f64 1 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2))))
(*.f64 1 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(*.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1)
(*.f64 (sqrt.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))) (sqrt.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(*.f64 (cbrt.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))) (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2) (cbrt.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2)) (-.f64 1 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2))) (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2)) (+.f64 1 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3))) (+.f64 1 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2)))
(/.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1)
(/.f64 (-.f64 1 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2)) (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(/.f64 (+.f64 1 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3)) (+.f64 1 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2)))
(/.f64 (*.f64 1 (-.f64 1 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2))) (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(/.f64 (*.f64 1 (+.f64 1 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3))) (+.f64 1 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2)) 1) (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3)) 1) (+.f64 1 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2)))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2)) 1) (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2)) (sqrt.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))))) (sqrt.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2)) (cbrt.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))))) (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2)) (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2)) (cbrt.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1)
(pow.f64 (sqrt.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2)
(pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 3)
(pow.f64 (E.f64) (log1p.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(pow.f64 (pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3) 1/3)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2)) (cbrt.f64 (log1p.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))) (sqrt.f64 (log1p.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(sqrt.f64 (pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2))
(log.f64 (exp.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))))))
(cbrt.f64 (pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3))
(expm1.f64 (log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(log1p.f64 (expm1.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
Outputs
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x)))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x)))
(*.f64 -1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)))
(neg.f64 (+.f64 (neg.f64 (log.f64 x)) (log.f64 1/2)))
(neg.f64 (-.f64 (log.f64 1/2) (log.f64 x)))
(+.f64 (*.f64 -1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(fma.f64 -1 (+.f64 (neg.f64 (log.f64 x)) (log.f64 1/2)) (/.f64 1/4 (*.f64 x x)))
(-.f64 (/.f64 1/4 (*.f64 x x)) (-.f64 (log.f64 1/2) (log.f64 x)))
(+.f64 (*.f64 -1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 (-.f64 1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))) 2))) (*.f64 -1/24 (+.f64 (*.f64 9/4 (/.f64 1 (-.f64 1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))))) (*.f64 3/4 (/.f64 1 (pow.f64 (-.f64 1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))) 2)))))) (-.f64 1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)))) (pow.f64 x 4)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(fma.f64 -1 (+.f64 (neg.f64 (log.f64 x)) (log.f64 1/2)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 (+.f64 (/.f64 1/32 (pow.f64 (-.f64 1 (+.f64 (neg.f64 (log.f64 x)) (log.f64 1/2))) 2)) (*.f64 -1/24 (+.f64 (/.f64 9/4 (-.f64 1 (+.f64 (neg.f64 (log.f64 x)) (log.f64 1/2)))) (/.f64 3/4 (pow.f64 (-.f64 1 (+.f64 (neg.f64 (log.f64 x)) (log.f64 1/2))) 2))))) (/.f64 (pow.f64 x 4) (-.f64 1 (+.f64 (neg.f64 (log.f64 x)) (log.f64 1/2)))))))
(+.f64 (/.f64 1/4 (*.f64 x x)) (-.f64 (*.f64 (/.f64 (+.f64 (/.f64 1/32 (pow.f64 (-.f64 1 (-.f64 (log.f64 1/2) (log.f64 x))) 2)) (+.f64 (/.f64 -3/32 (-.f64 1 (-.f64 (log.f64 1/2) (log.f64 x)))) (/.f64 -1/32 (pow.f64 (-.f64 1 (-.f64 (log.f64 1/2) (log.f64 x))) 2)))) (pow.f64 x 4)) (-.f64 1 (-.f64 (log.f64 1/2) (log.f64 x)))) (-.f64 (log.f64 1/2) (log.f64 x))))
(+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/720 (+.f64 (*.f64 135/8 (/.f64 1 (pow.f64 (-.f64 1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))) 2))) (+.f64 (*.f64 15/4 (/.f64 1 (pow.f64 (-.f64 1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))) 3))) (*.f64 75/2 (/.f64 1 (-.f64 1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)))))))) (+.f64 (*.f64 -1/96 (/.f64 (+.f64 (*.f64 9/4 (/.f64 1 (-.f64 1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))))) (*.f64 3/4 (/.f64 1 (pow.f64 (-.f64 1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))) 2)))) (-.f64 1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))))) (*.f64 1/384 (/.f64 1 (pow.f64 (-.f64 1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))) 3))))) (-.f64 1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)))) (pow.f64 x 6)) (+.f64 (*.f64 -1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 (-.f64 1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))) 2))) (*.f64 -1/24 (+.f64 (*.f64 9/4 (/.f64 1 (-.f64 1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))))) (*.f64 3/4 (/.f64 1 (pow.f64 (-.f64 1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))) 2)))))) (-.f64 1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)))) (pow.f64 x 4)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (fma.f64 -1 (+.f64 (neg.f64 (log.f64 x)) (log.f64 1/2)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 (+.f64 (/.f64 1/32 (pow.f64 (-.f64 1 (+.f64 (neg.f64 (log.f64 x)) (log.f64 1/2))) 2)) (*.f64 -1/24 (+.f64 (/.f64 9/4 (-.f64 1 (+.f64 (neg.f64 (log.f64 x)) (log.f64 1/2)))) (/.f64 3/4 (pow.f64 (-.f64 1 (+.f64 (neg.f64 (log.f64 x)) (log.f64 1/2))) 2))))) (/.f64 (pow.f64 x 4) (-.f64 1 (+.f64 (neg.f64 (log.f64 x)) (log.f64 1/2))))))) (/.f64 (fma.f64 1/720 (+.f64 (/.f64 135/8 (pow.f64 (-.f64 1 (+.f64 (neg.f64 (log.f64 x)) (log.f64 1/2))) 2)) (+.f64 (/.f64 15/4 (pow.f64 (-.f64 1 (+.f64 (neg.f64 (log.f64 x)) (log.f64 1/2))) 3)) (/.f64 75/2 (-.f64 1 (+.f64 (neg.f64 (log.f64 x)) (log.f64 1/2)))))) (fma.f64 -1/96 (/.f64 (+.f64 (/.f64 9/4 (-.f64 1 (+.f64 (neg.f64 (log.f64 x)) (log.f64 1/2)))) (/.f64 3/4 (pow.f64 (-.f64 1 (+.f64 (neg.f64 (log.f64 x)) (log.f64 1/2))) 2))) (-.f64 1 (+.f64 (neg.f64 (log.f64 x)) (log.f64 1/2)))) (/.f64 1/384 (pow.f64 (-.f64 1 (+.f64 (neg.f64 (log.f64 x)) (log.f64 1/2))) 3)))) (/.f64 (pow.f64 x 6) (-.f64 1 (+.f64 (neg.f64 (log.f64 x)) (log.f64 1/2))))))
(+.f64 (/.f64 (fma.f64 1/720 (+.f64 (/.f64 15/4 (pow.f64 (-.f64 1 (-.f64 (log.f64 1/2) (log.f64 x))) 3)) (+.f64 (/.f64 75/2 (-.f64 1 (-.f64 (log.f64 1/2) (log.f64 x)))) (/.f64 135/8 (pow.f64 (-.f64 1 (-.f64 (log.f64 1/2) (log.f64 x))) 2)))) (fma.f64 -1/96 (/.f64 (+.f64 (/.f64 9/4 (-.f64 1 (-.f64 (log.f64 1/2) (log.f64 x)))) (/.f64 3/4 (pow.f64 (-.f64 1 (-.f64 (log.f64 1/2) (log.f64 x))) 2))) (-.f64 1 (-.f64 (log.f64 1/2) (log.f64 x)))) (/.f64 1/384 (pow.f64 (-.f64 1 (-.f64 (log.f64 1/2) (log.f64 x))) 3)))) (/.f64 (pow.f64 x 6) (-.f64 1 (-.f64 (log.f64 1/2) (log.f64 x))))) (+.f64 (/.f64 1/4 (*.f64 x x)) (-.f64 (*.f64 (/.f64 (+.f64 (/.f64 1/32 (pow.f64 (-.f64 1 (-.f64 (log.f64 1/2) (log.f64 x))) 2)) (+.f64 (/.f64 -3/32 (-.f64 1 (-.f64 (log.f64 1/2) (log.f64 x)))) (/.f64 -1/32 (pow.f64 (-.f64 1 (-.f64 (log.f64 1/2) (log.f64 x))) 2)))) (pow.f64 x 4)) (-.f64 1 (-.f64 (log.f64 1/2) (log.f64 x)))) (-.f64 (log.f64 1/2) (log.f64 x)))))
(*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2)))
(neg.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 2)))
(neg.f64 (-.f64 (log.f64 2) (log.f64 (/.f64 -1 x))))
(-.f64 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (neg.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 2))) (/.f64 1/4 (*.f64 x x)))
(fma.f64 -1 (-.f64 (log.f64 2) (log.f64 (/.f64 -1 x))) (/.f64 -1/4 (*.f64 x x)))
(-.f64 (+.f64 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2))) (/.f64 (*.f64 (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 (-.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2))) 2))) (*.f64 1/24 (-.f64 (*.f64 9/4 (/.f64 1 (-.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2))))) (*.f64 3/4 (/.f64 1 (pow.f64 (-.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2))) 2)))))) (-.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2)))) (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 -1 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 2)) (/.f64 (+.f64 (/.f64 1/32 (pow.f64 (-.f64 1 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 2))) 2)) (*.f64 1/24 (-.f64 (/.f64 9/4 (-.f64 1 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 2)))) (/.f64 3/4 (pow.f64 (-.f64 1 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 2))) 2))))) (/.f64 (pow.f64 x 4) (-.f64 1 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 2)))))) (/.f64 1/4 (*.f64 x x)))
(+.f64 (-.f64 (*.f64 (/.f64 (fma.f64 1/24 (+.f64 (/.f64 9/4 (-.f64 1 (-.f64 (log.f64 2) (log.f64 (/.f64 -1 x))))) (/.f64 -3/4 (pow.f64 (-.f64 1 (-.f64 (log.f64 2) (log.f64 (/.f64 -1 x)))) 2))) (/.f64 1/32 (pow.f64 (-.f64 1 (-.f64 (log.f64 2) (log.f64 (/.f64 -1 x)))) 2))) (pow.f64 x 4)) (-.f64 1 (-.f64 (log.f64 2) (log.f64 (/.f64 -1 x))))) (-.f64 (log.f64 2) (log.f64 (/.f64 -1 x)))) (/.f64 -1/4 (*.f64 x x)))
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/720 (-.f64 (*.f64 135/8 (/.f64 1 (pow.f64 (-.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2))) 2))) (+.f64 (*.f64 75/2 (/.f64 1 (-.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2))))) (*.f64 15/4 (/.f64 1 (pow.f64 (-.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2))) 3)))))) (*.f64 -1/96 (/.f64 (-.f64 (*.f64 9/4 (/.f64 1 (-.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2))))) (*.f64 3/4 (/.f64 1 (pow.f64 (-.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2))) 2)))) (-.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2)))))) (*.f64 1/384 (/.f64 1 (pow.f64 (-.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2))) 3)))) (-.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2)))) (pow.f64 x 6)) (+.f64 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2))) (/.f64 (*.f64 (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 (-.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2))) 2))) (*.f64 1/24 (-.f64 (*.f64 9/4 (/.f64 1 (-.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2))))) (*.f64 3/4 (/.f64 1 (pow.f64 (-.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2))) 2)))))) (-.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2)))) (pow.f64 x 4)))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
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(+.f64 1 (/.f64 (-.f64 1 (pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3)) (-.f64 -1 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2))))
(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (+.f64 x (hypot.f64 1 x))))
1
(-.f64 (+.f64 1 (log.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))) (log.f64 (+.f64 1 (+.f64 (*.f64 x x) (*.f64 x (+.f64 x (hypot.f64 1 x)))))))
(+.f64 (-.f64 (log.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (log1p.f64 (*.f64 x (+.f64 x (+.f64 x (hypot.f64 1 x)))))) 1)
(+.f64 (log.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (-.f64 1 (log1p.f64 (*.f64 x (+.f64 (+.f64 x x) (hypot.f64 1 x))))))
(-.f64 (+.f64 1 (/.f64 (pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) (log.f64 (-.f64 (hypot.f64 1 x) x)))) (/.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(+.f64 (-.f64 (/.f64 (pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) (log.f64 (-.f64 (hypot.f64 1 x) x))) (/.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 1)
(+.f64 1 (+.f64 (/.f64 (pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) (log.f64 (-.f64 (hypot.f64 1 x) x))) (/.f64 -1 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(-.f64 (+.f64 1 (/.f64 (pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3) (+.f64 1 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2)))) (/.f64 1 (+.f64 1 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2))))
(+.f64 (-.f64 (/.f64 (pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3) (+.f64 1 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2))) (/.f64 1 (+.f64 1 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2)))) 1)
(+.f64 1 (/.f64 (-.f64 1 (pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3)) (-.f64 -1 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2))))
(*.f64 1 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1)
(+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (sqrt.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))) (sqrt.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (cbrt.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))) (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2))
(+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2) (cbrt.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2)) (-.f64 1 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2))) (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2)) (+.f64 1 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3))) (+.f64 1 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2)) (+.f64 1 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2))) (+.f64 1 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3)))
(*.f64 (-.f64 1 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2)) (/.f64 (+.f64 1 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2)) (+.f64 1 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3))))
(/.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1)
(+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(/.f64 (-.f64 1 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2)) (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(/.f64 (+.f64 1 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3)) (+.f64 1 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2)))
(/.f64 (*.f64 1 (-.f64 1 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2))) (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(/.f64 (-.f64 1 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2)) (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(/.f64 (*.f64 1 (+.f64 1 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3))) (+.f64 1 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2)))
(/.f64 (+.f64 1 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3)) (+.f64 1 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2)) 1) (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(/.f64 (-.f64 1 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2)) (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3)) 1) (+.f64 1 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2)))
(/.f64 (+.f64 1 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3)) (+.f64 1 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2)))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2)) 1) (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(/.f64 (-.f64 1 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2)) (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2)) (sqrt.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))))) (sqrt.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(/.f64 (-.f64 1 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2)) (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2)) (cbrt.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))))) (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2))
(/.f64 (-.f64 1 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2)) (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2)) (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2)) (cbrt.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(/.f64 (-.f64 1 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2)) (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1)
(+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(pow.f64 (sqrt.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2)
(+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 3)
(+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(pow.f64 (E.f64) (log1p.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(pow.f64 (pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3) 1/3)
(+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2)) (cbrt.f64 (log1p.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))) (sqrt.f64 (log1p.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(sqrt.f64 (pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2))
(fabs.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(log.f64 (exp.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))))))
(+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(cbrt.f64 (pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3))
(+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(expm1.f64 (log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(+.f64 -1 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(log1p.f64 (expm1.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))

eval585.0ms (6.5%)

Compiler

Compiled 28116 to 22209 computations (21% saved)

prune238.0ms (2.7%)

Pruning

13 alts after pruning (7 fresh and 6 done)

PrunedKeptTotal
New111261118
Fresh011
Picked101
Done268
Total1115131128
Error
0.0b
Counts
1128 → 13
Alt Table
Click to see full alt table
StatusErrorProgram
45.5b
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3)) (+.f64 (pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) (+.f64 2 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
▶45.4b
(-.f64 (-.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1)
▶59.9b
(-.f64 (+.f64 x 1) 1)
✓30.5b
(+.f64 (-.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))) 1) x)
▶30.4b
(+.f64 (*.f64 (*.f64 x x) (*.f64 x -1/6)) x)
▶45.6b
(neg.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2)) (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))))
✓45.4b
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
▶47.6b
(neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x))))
✓48.2b
(log.f64 (/.f64 -1/2 x))
✓46.3b
(log.f64 (+.f64 x (hypot.f64 1 x)))
✓48.3b
(log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))
✓48.9b
(log.f64 (+.f64 x x))
29.0b
x
Compiler

Compiled 226 to 175 computations (22.6% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.1b
(*.f64 (*.f64 x x) (*.f64 x -1/6))
✓0.3b
(*.f64 x -1/6)
Compiler

Compiled 25 to 12 computations (52% saved)

series1.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite71.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
1296×add-sqr-sqrt
1274×*-un-lft-identity
1190×add-cube-cbrt
1174×add-cbrt-cube
1162×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0726
114320
2170020
Stop Event
1×node limit
Counts
2 → 22
Calls
Call 1
Inputs
(*.f64 x -1/6)
(*.f64 (*.f64 x x) (*.f64 x -1/6))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.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 (pow.f64 (*.f64 x -1/6) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x -1/6) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/6) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x -1/6) 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 log1p.f64 (expm1.f64 (*.f64 x -1/6)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 (*.f64 x -1/6))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (cbrt.f64 -1/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 1/36))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -1/6 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3))))))))

simplify50.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
1684×log-prod
1216×associate-*r*
1038×associate-*l*
948×associate-+r+
942×fma-def
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
059460
1151460
2552460
33405460
Stop Event
1×node limit
Counts
46 → 24
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 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(-.f64 (+.f64 1 (*.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 (pow.f64 (*.f64 x -1/6) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 x -1/6) 2))
(log.f64 (pow.f64 (exp.f64 -1/6) x))
(cbrt.f64 (pow.f64 (*.f64 x -1/6) 3))
(expm1.f64 (log1p.f64 (*.f64 x -1/6)))
(exp.f64 (log.f64 (*.f64 x -1/6)))
(log1p.f64 (expm1.f64 (*.f64 x -1/6)))
(-.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))) 1)
(pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 1)
(pow.f64 (*.f64 x (sqrt.f64 (*.f64 x -1/6))) 2)
(pow.f64 (*.f64 x (cbrt.f64 -1/6)) 3)
(pow.f64 (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 1/36))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6))
(cbrt.f64 (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3))
(expm1.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3))))
(exp.f64 (log.f64 (*.f64 -1/6 (pow.f64 x 3))))
(log1p.f64 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3))))
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 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(-.f64 (+.f64 1 (*.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)
(*.f64 -1/6 x)
(pow.f64 (cbrt.f64 (*.f64 x -1/6)) 3)
(*.f64 -1/6 x)
(pow.f64 (pow.f64 (*.f64 x -1/6) 3) 1/3)
(*.f64 -1/6 x)
(sqrt.f64 (pow.f64 (*.f64 x -1/6) 2))
(*.f64 -1/6 x)
(log.f64 (pow.f64 (exp.f64 -1/6) x))
(*.f64 -1/6 x)
(cbrt.f64 (pow.f64 (*.f64 x -1/6) 3))
(*.f64 -1/6 x)
(expm1.f64 (log1p.f64 (*.f64 x -1/6)))
(*.f64 -1/6 x)
(exp.f64 (log.f64 (*.f64 x -1/6)))
(*.f64 -1/6 x)
(log1p.f64 (expm1.f64 (*.f64 x -1/6)))
(*.f64 -1/6 x)
(-.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))) 1)
(*.f64 -1/6 (pow.f64 x 3))
(pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 1)
(*.f64 -1/6 (pow.f64 x 3))
(pow.f64 (*.f64 x (sqrt.f64 (*.f64 x -1/6))) 2)
(*.f64 -1/6 (pow.f64 x 3))
(pow.f64 (*.f64 x (cbrt.f64 -1/6)) 3)
(*.f64 -1/6 (pow.f64 x 3))
(pow.f64 (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3) 1/3)
(*.f64 -1/6 (pow.f64 x 3))
(sqrt.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 1/36))
(*.f64 -1/6 (pow.f64 x 3))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6))
(*.f64 -1/6 (pow.f64 x 3))
(cbrt.f64 (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3))
(*.f64 -1/6 (pow.f64 x 3))
(expm1.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3))))
(*.f64 -1/6 (pow.f64 x 3))
(exp.f64 (log.f64 (*.f64 -1/6 (pow.f64 x 3))))
(*.f64 -1/6 (pow.f64 x 3))
(log1p.f64 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3))))
(*.f64 -1/6 (pow.f64 x 3))

localize4.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓3.1b
(-.f64 (+.f64 x 1) 1)
Compiler

Compiled 11 to 8 computations (27.3% saved)

series0.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite72.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
1280×add-sqr-sqrt
1264×*-un-lft-identity
1190×add-cube-cbrt
1182×add-cbrt-cube
1174×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
067
11361
218601
Stop Event
1×node limit
Counts
1 → 41
Calls
Call 1
Inputs
(-.f64 (+.f64 x 1) 1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) 1) (-.f64 (sqrt.f64 (+.f64 x 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 2)) (+.f64 (pow.f64 (+.f64 x 1) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x 2) x) (+.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x 2) x) (-.f64 (+.f64 x 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) -1) (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) -1) (+.f64 (pow.f64 (+.f64 x 1) 2) (-.f64 1 (*.f64 (+.f64 x 1) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) 0) (-.f64 x 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) 0) (+.f64 (*.f64 x x) (-.f64 0 (*.f64 x 0))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (+.f64 x 2) x)) (neg.f64 (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 x) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x . x)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 x 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (cbrt.f64 (+.f64 x 1)) -1)))))

simplify40.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
1256×associate-/l*
1212×distribute-lft-in
1028×distribute-rgt-in
946×associate-/r*
850×fma-def
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
094323
1220293
21162293
Stop Event
1×node limit
Counts
53 → 44
Calls
Call 1
Inputs
x
x
x
x
x
x
x
x
x
x
x
x
(+.f64 x 0)
(+.f64 1 (+.f64 x -1))
(+.f64 (+.f64 x 1) -1)
(+.f64 0 x)
(+.f64 -1 (+.f64 x 1))
(*.f64 x 1)
(*.f64 1 x)
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1))
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1))
(*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
(*.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 2))))
(*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) 1) (-.f64 (sqrt.f64 (+.f64 x 1)) 1))
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 2)) (+.f64 (pow.f64 (+.f64 x 1) 3) -1)))
(/.f64 (*.f64 (+.f64 x 2) x) (+.f64 x 2))
(/.f64 (*.f64 (+.f64 x 2) x) (-.f64 (+.f64 x 1) -1))
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) -1) (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) -1) (+.f64 (pow.f64 (+.f64 x 1) 2) (-.f64 1 (*.f64 (+.f64 x 1) -1))))
(/.f64 (-.f64 (*.f64 x x) 0) (-.f64 x 0))
(/.f64 (+.f64 (pow.f64 x 3) 0) (+.f64 (*.f64 x x) (-.f64 0 (*.f64 x 0))))
(/.f64 (neg.f64 (*.f64 (+.f64 x 2) x)) (neg.f64 (+.f64 x 2)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 2))))
(pow.f64 x 1)
(pow.f64 (sqrt.f64 x) 2)
(pow.f64 (cbrt.f64 x) 3)
(pow.f64 (pow.f64 x 3) 1/3)
(sqrt.f64 (*.f64 x x))
(log.f64 (exp.f64 x))
(cbrt.f64 (pow.f64 x 3))
(expm1.f64 (log1p.f64 x))
(exp.f64 (log.f64 x))
(log1p.f64 (expm1.f64 x))
(fma.f64 1 x 0)
(fma.f64 1 (+.f64 x 1) -1)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) 0)
(fma.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1)) -1)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) 0)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (cbrt.f64 (+.f64 x 1)) -1)
Outputs
x
x
x
x
x
x
x
x
x
x
x
x
(+.f64 x 0)
x
(+.f64 1 (+.f64 x -1))
x
(+.f64 (+.f64 x 1) -1)
x
(+.f64 0 x)
x
(+.f64 -1 (+.f64 x 1))
x
(*.f64 x 1)
x
(*.f64 1 x)
x
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
x
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1))
x
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))
x
(*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x))
x
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1))
x
(*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
x
(*.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 2))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (/.f64 1 (+.f64 (+.f64 x 2) (pow.f64 (+.f64 x 1) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (+.f64 x (+.f64 2 (pow.f64 (+.f64 x 1) 2))))
(*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) 1) (-.f64 (sqrt.f64 (+.f64 x 1)) 1))
x
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))
x
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 2)) (+.f64 (pow.f64 (+.f64 x 1) 3) -1)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (/.f64 1 (+.f64 (+.f64 x 2) (pow.f64 (+.f64 x 1) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (+.f64 x (+.f64 2 (pow.f64 (+.f64 x 1) 2))))
(/.f64 (*.f64 (+.f64 x 2) x) (+.f64 x 2))
x
(/.f64 (*.f64 (+.f64 x 2) x) (-.f64 (+.f64 x 1) -1))
x
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) -1) (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 2)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (/.f64 1 (+.f64 (+.f64 x 2) (pow.f64 (+.f64 x 1) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (+.f64 x (+.f64 2 (pow.f64 (+.f64 x 1) 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) -1) (+.f64 (pow.f64 (+.f64 x 1) 2) (-.f64 1 (*.f64 (+.f64 x 1) -1))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (/.f64 1 (+.f64 (+.f64 x 2) (pow.f64 (+.f64 x 1) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (+.f64 x (+.f64 2 (pow.f64 (+.f64 x 1) 2))))
(/.f64 (-.f64 (*.f64 x x) 0) (-.f64 x 0))
x
(/.f64 (+.f64 (pow.f64 x 3) 0) (+.f64 (*.f64 x x) (-.f64 0 (*.f64 x 0))))
x
(/.f64 (neg.f64 (*.f64 (+.f64 x 2) x)) (neg.f64 (+.f64 x 2)))
x
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 2))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (/.f64 1 (+.f64 (+.f64 x 2) (pow.f64 (+.f64 x 1) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (+.f64 x (+.f64 2 (pow.f64 (+.f64 x 1) 2))))
(pow.f64 x 1)
x
(pow.f64 (sqrt.f64 x) 2)
x
(pow.f64 (cbrt.f64 x) 3)
x
(pow.f64 (pow.f64 x 3) 1/3)
x
(sqrt.f64 (*.f64 x x))
x
(log.f64 (exp.f64 x))
x
(cbrt.f64 (pow.f64 x 3))
x
(expm1.f64 (log1p.f64 x))
x
(exp.f64 (log.f64 x))
x
(log1p.f64 (expm1.f64 x))
x
(fma.f64 1 x 0)
x
(fma.f64 1 (+.f64 x 1) -1)
x
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) 0)
x
(fma.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1)) -1)
x
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) 0)
x
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (cbrt.f64 (+.f64 x 1)) -1)
x

localize15.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(-.f64 (*.f64 x -2) (/.f64 1/2 x))
✓0.0b
(log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))
Compiler

Compiled 34 to 25 computations (26.5% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite80.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
990×associate-*r/
920×*-commutative
664×unswap-sqr
570×associate-*l/
552×swap-sqr
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01023
121619
2272119
Stop Event
1×node limit
Counts
1 → 36
Calls
Call 1
Inputs
(log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (fma.f64 x -2 (/.f64 -1/2 x))) 2)) (log.f64 (cbrt.f64 (fma.f64 x -2 (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (fma.f64 x -2 (/.f64 -1/2 x)))) (log.f64 (pow.f64 (cbrt.f64 (fma.f64 x -2 (/.f64 -1/2 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (fma.f64 x -2 (/.f64 -1/2 x)))) (log.f64 (sqrt.f64 (fma.f64 x -2 (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (fma.f64 x -2 (/.f64 -1/2 x))) 2))) (log.f64 (cbrt.f64 (fma.f64 x -2 (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (log.f64 (sqrt.f64 (fma.f64 x -2 (/.f64 -1/2 x))))) (log.f64 (sqrt.f64 (fma.f64 x -2 (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (log.f64 (pow.f64 (cbrt.f64 (fma.f64 x -2 (/.f64 -1/2 x))) 2))) (*.f64 1 (log.f64 (cbrt.f64 (fma.f64 x -2 (/.f64 -1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (log.f64 (sqrt.f64 (fma.f64 x -2 (/.f64 -1/2 x))))) (*.f64 1 (log.f64 (sqrt.f64 (fma.f64 x -2 (/.f64 -1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (fma.f64 x -2 (/.f64 -1/2 x))) 2)) 1) (*.f64 (log.f64 (cbrt.f64 (fma.f64 x -2 (/.f64 -1/2 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x -2 (/.f64 -1/2 x)))) 1) (*.f64 (log.f64 (sqrt.f64 (fma.f64 x -2 (/.f64 -1/2 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 (*.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3)))) (log.f64 (+.f64 (*.f64 4 (*.f64 x x)) (*.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 (*.f64 4 (*.f64 x x)) (/.f64 (/.f64 -1/4 x) x))) (log.f64 (fma.f64 x -2 (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 0 (log.f64 (+.f64 (*.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3))))) (log.f64 (+.f64 (*.f64 4 (*.f64 x x)) (*.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 0 (log.f64 (+.f64 (*.f64 4 (*.f64 x x)) (/.f64 (/.f64 -1/4 x) x)))) (log.f64 (fma.f64 x -2 (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 0 (exp.f64 (log1p.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))) (sqrt.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))) (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))) 2) (cbrt.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (log.f64 (sqrt.f64 (fma.f64 x -2 (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x))))) (cbrt.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x))))) (*.f64 (sqrt.f64 (cbrt.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x))))) (cbrt.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))) (sqrt.f64 (cbrt.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))))) (*.f64 (cbrt.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))) (sqrt.f64 (cbrt.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (fma.f64 x -2 (/.f64 -1/2 x)) 1))))))

simplify64.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
1118×associate-*r*
1102×distribute-lft-in
948×associate-+l-
914×associate-*l*
898×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01611910
13821646
211291638
348331638
Stop Event
1×node limit
Counts
48 → 98
Calls
Call 1
Inputs
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x)))
(+.f64 (*.f64 4 (pow.f64 x 2)) (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x))))
(+.f64 (*.f64 4 (pow.f64 x 2)) (+.f64 (log.f64 -1/2) (+.f64 (*.f64 -8 (pow.f64 x 4)) (*.f64 -1 (log.f64 x)))))
(+.f64 (*.f64 4 (pow.f64 x 2)) (+.f64 (log.f64 -1/2) (+.f64 (*.f64 -8 (pow.f64 x 4)) (+.f64 (*.f64 64/3 (pow.f64 x 6)) (*.f64 -1 (log.f64 x))))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -2))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (log.f64 -2)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 -2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 1/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 -2) (+.f64 (*.f64 1/192 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (*.f64 1/32 (/.f64 1 (pow.f64 x 4))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 1/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (+.f64 (*.f64 1/192 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (*.f64 1/32 (/.f64 1 (pow.f64 x 4))))
(+.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x))) 0)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (fma.f64 x -2 (/.f64 -1/2 x))) 2)) (log.f64 (cbrt.f64 (fma.f64 x -2 (/.f64 -1/2 x)))))
(+.f64 0 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x))))
(+.f64 (log.f64 (cbrt.f64 (fma.f64 x -2 (/.f64 -1/2 x)))) (log.f64 (pow.f64 (cbrt.f64 (fma.f64 x -2 (/.f64 -1/2 x))) 2)))
(+.f64 (log.f64 (sqrt.f64 (fma.f64 x -2 (/.f64 -1/2 x)))) (log.f64 (sqrt.f64 (fma.f64 x -2 (/.f64 -1/2 x)))))
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (fma.f64 x -2 (/.f64 -1/2 x))) 2))) (log.f64 (cbrt.f64 (fma.f64 x -2 (/.f64 -1/2 x)))))
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (fma.f64 x -2 (/.f64 -1/2 x))))) (log.f64 (sqrt.f64 (fma.f64 x -2 (/.f64 -1/2 x)))))
(+.f64 (*.f64 1 (log.f64 (pow.f64 (cbrt.f64 (fma.f64 x -2 (/.f64 -1/2 x))) 2))) (*.f64 1 (log.f64 (cbrt.f64 (fma.f64 x -2 (/.f64 -1/2 x))))))
(+.f64 (*.f64 1 (log.f64 (sqrt.f64 (fma.f64 x -2 (/.f64 -1/2 x))))) (*.f64 1 (log.f64 (sqrt.f64 (fma.f64 x -2 (/.f64 -1/2 x))))))
(+.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (fma.f64 x -2 (/.f64 -1/2 x))) 2)) 1) (*.f64 (log.f64 (cbrt.f64 (fma.f64 x -2 (/.f64 -1/2 x)))) 1))
(+.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x -2 (/.f64 -1/2 x)))) 1) (*.f64 (log.f64 (sqrt.f64 (fma.f64 x -2 (/.f64 -1/2 x)))) 1))
(-.f64 (log.f64 (+.f64 (*.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3)))) (log.f64 (+.f64 (*.f64 4 (*.f64 x x)) (*.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x))))))
(-.f64 (log.f64 (+.f64 (*.f64 4 (*.f64 x x)) (/.f64 (/.f64 -1/4 x) x))) (log.f64 (fma.f64 x -2 (/.f64 1/2 x))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x))))) 1)
(-.f64 (+.f64 0 (log.f64 (+.f64 (*.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3))))) (log.f64 (+.f64 (*.f64 4 (*.f64 x x)) (*.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x))))))
(-.f64 (+.f64 0 (log.f64 (+.f64 (*.f64 4 (*.f64 x x)) (/.f64 (/.f64 -1/4 x) x)))) (log.f64 (fma.f64 x -2 (/.f64 1/2 x))))
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))))) 1)
(*.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x))) 1)
(*.f64 1 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x))))
(*.f64 (sqrt.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))) (sqrt.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))))
(*.f64 (cbrt.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))) (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))) 2) (cbrt.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))))
(*.f64 2 (log.f64 (sqrt.f64 (fma.f64 x -2 (/.f64 -1/2 x)))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x))))) (cbrt.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x))))) (*.f64 (sqrt.f64 (cbrt.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x))))) (cbrt.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x))))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))) 2))))
(*.f64 (*.f64 (cbrt.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))) (sqrt.f64 (cbrt.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))))) (*.f64 (cbrt.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))) (sqrt.f64 (cbrt.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))))))
(pow.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x))) 1)
(pow.f64 (sqrt.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))) 2)
(pow.f64 (cbrt.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))) 3)
(pow.f64 (pow.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x))) 3) 1/3)
(sqrt.f64 (pow.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x))) 2))
(cbrt.f64 (pow.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))))
(exp.f64 (log.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))))
(log1p.f64 (-.f64 (fma.f64 x -2 (/.f64 -1/2 x)) 1))
Outputs
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 -1/2) (neg.f64 (log.f64 x)))
(-.f64 (log.f64 -1/2) (log.f64 x))
(+.f64 (*.f64 4 (pow.f64 x 2)) (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x))))
(fma.f64 4 (*.f64 x x) (+.f64 (log.f64 -1/2) (neg.f64 (log.f64 x))))
(-.f64 (fma.f64 4 (*.f64 x x) (log.f64 -1/2)) (log.f64 x))
(-.f64 (fma.f64 x (*.f64 x 4) (log.f64 -1/2)) (log.f64 x))
(+.f64 (*.f64 4 (pow.f64 x 2)) (+.f64 (log.f64 -1/2) (+.f64 (*.f64 -8 (pow.f64 x 4)) (*.f64 -1 (log.f64 x)))))
(fma.f64 4 (*.f64 x x) (+.f64 (log.f64 -1/2) (fma.f64 -8 (pow.f64 x 4) (neg.f64 (log.f64 x)))))
(+.f64 (-.f64 (fma.f64 4 (*.f64 x x) (log.f64 -1/2)) (log.f64 x)) (*.f64 -8 (pow.f64 x 4)))
(-.f64 (fma.f64 x (*.f64 x 4) (fma.f64 -8 (pow.f64 x 4) (log.f64 -1/2))) (log.f64 x))
(+.f64 (*.f64 4 (pow.f64 x 2)) (+.f64 (log.f64 -1/2) (+.f64 (*.f64 -8 (pow.f64 x 4)) (+.f64 (*.f64 64/3 (pow.f64 x 6)) (*.f64 -1 (log.f64 x))))))
(fma.f64 4 (*.f64 x x) (+.f64 (log.f64 -1/2) (fma.f64 -8 (pow.f64 x 4) (fma.f64 64/3 (pow.f64 x 6) (neg.f64 (log.f64 x))))))
(+.f64 (-.f64 (fma.f64 -8 (pow.f64 x 4) (*.f64 64/3 (pow.f64 x 6))) (log.f64 x)) (fma.f64 4 (*.f64 x x) (log.f64 -1/2)))
(+.f64 (log.f64 -1/2) (fma.f64 x (*.f64 x 4) (-.f64 (fma.f64 -8 (pow.f64 x 4) (*.f64 64/3 (pow.f64 x 6))) (log.f64 x))))
(+.f64 (-.f64 (fma.f64 x (*.f64 x 4) (log.f64 -1/2)) (log.f64 x)) (fma.f64 -8 (pow.f64 x 4) (*.f64 64/3 (pow.f64 x 6))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -2))
(fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -2))
(+.f64 (log.f64 x) (log.f64 -2))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (log.f64 -2)))
(+.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -2)) (/.f64 1/4 (*.f64 x x)))
(+.f64 (log.f64 x) (+.f64 (log.f64 -2) (/.f64 (/.f64 1/4 x) x)))
(+.f64 (log.f64 -2) (+.f64 (log.f64 x) (/.f64 1/4 (*.f64 x x))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 -2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 1/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -2)) (/.f64 1/4 (*.f64 x x))) (/.f64 1/32 (pow.f64 x 4)))
(+.f64 (+.f64 (log.f64 x) (log.f64 -2)) (-.f64 (/.f64 (/.f64 1/4 x) x) (/.f64 1/32 (pow.f64 x 4))))
(+.f64 (log.f64 -2) (+.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 -1/32 (pow.f64 x 4))) (log.f64 x)))
(+.f64 (+.f64 (log.f64 x) (log.f64 -2)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 -1/32 (pow.f64 x 4))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 -2) (+.f64 (*.f64 1/192 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (*.f64 1/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -2)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/192 (pow.f64 x 6)))) (/.f64 1/32 (pow.f64 x 4)))
(+.f64 (+.f64 (log.f64 -2) (+.f64 (/.f64 (/.f64 1/4 x) x) (/.f64 1/192 (pow.f64 x 6)))) (+.f64 (log.f64 x) (/.f64 -1/32 (pow.f64 x 4))))
(+.f64 (log.f64 -2) (+.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (+.f64 (/.f64 1/192 (pow.f64 x 6)) (/.f64 -1/32 (pow.f64 x 4)))) (log.f64 x)))
(+.f64 (+.f64 (log.f64 x) (log.f64 -2)) (+.f64 (/.f64 1/4 (*.f64 x x)) (+.f64 (/.f64 1/192 (pow.f64 x 6)) (/.f64 -1/32 (pow.f64 x 4)))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 2))
(-.f64 (log.f64 2) (log.f64 (/.f64 -1 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 2)) (/.f64 1/4 (*.f64 x x)))
(-.f64 (+.f64 (/.f64 (/.f64 1/4 x) x) (log.f64 2)) (log.f64 (/.f64 -1 x)))
(+.f64 (/.f64 1/4 (*.f64 x x)) (-.f64 (log.f64 2) (log.f64 (/.f64 -1 x))))
(-.f64 (/.f64 1/4 (*.f64 x x)) (-.f64 (log.f64 (/.f64 -1 x)) (log.f64 2)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 1/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 2)) (/.f64 1/4 (*.f64 x x))) (/.f64 1/32 (pow.f64 x 4)))
(+.f64 (-.f64 (+.f64 (/.f64 (/.f64 1/4 x) x) (log.f64 2)) (log.f64 (/.f64 -1 x))) (/.f64 -1/32 (pow.f64 x 4)))
(+.f64 (-.f64 (/.f64 1/4 (*.f64 x x)) (log.f64 (/.f64 -1 x))) (-.f64 (log.f64 2) (/.f64 1/32 (pow.f64 x 4))))
(+.f64 (/.f64 1/4 (*.f64 x x)) (+.f64 (log.f64 2) (-.f64 (/.f64 -1/32 (pow.f64 x 4)) (log.f64 (/.f64 -1 x)))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (+.f64 (*.f64 1/192 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (*.f64 1/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 2)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/192 (pow.f64 x 6)))) (/.f64 1/32 (pow.f64 x 4)))
(+.f64 (-.f64 (log.f64 2) (log.f64 (/.f64 -1 x))) (+.f64 (+.f64 (/.f64 (/.f64 1/4 x) x) (/.f64 1/192 (pow.f64 x 6))) (/.f64 -1/32 (pow.f64 x 4))))
(+.f64 (+.f64 (/.f64 -1/32 (pow.f64 x 4)) (+.f64 (/.f64 1/192 (pow.f64 x 6)) (log.f64 2))) (-.f64 (/.f64 1/4 (*.f64 x x)) (log.f64 (/.f64 -1 x))))
(+.f64 (/.f64 1/4 (*.f64 x x)) (-.f64 (/.f64 -1/32 (pow.f64 x 4)) (-.f64 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 1/192 (pow.f64 x 6)) (log.f64 2)))))
(+.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x))) 0)
(log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (fma.f64 x -2 (/.f64 -1/2 x))) 2)) (log.f64 (cbrt.f64 (fma.f64 x -2 (/.f64 -1/2 x)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (fma.f64 x -2 (/.f64 -1/2 x))))) (log.f64 (cbrt.f64 (fma.f64 x -2 (/.f64 -1/2 x)))))
(*.f64 (log.f64 (cbrt.f64 (fma.f64 x -2 (/.f64 -1/2 x)))) 3)
(+.f64 0 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x))))
(log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))
(+.f64 (log.f64 (cbrt.f64 (fma.f64 x -2 (/.f64 -1/2 x)))) (log.f64 (pow.f64 (cbrt.f64 (fma.f64 x -2 (/.f64 -1/2 x))) 2)))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (fma.f64 x -2 (/.f64 -1/2 x))))) (log.f64 (cbrt.f64 (fma.f64 x -2 (/.f64 -1/2 x)))))
(*.f64 (log.f64 (cbrt.f64 (fma.f64 x -2 (/.f64 -1/2 x)))) 3)
(+.f64 (log.f64 (sqrt.f64 (fma.f64 x -2 (/.f64 -1/2 x)))) (log.f64 (sqrt.f64 (fma.f64 x -2 (/.f64 -1/2 x)))))
(*.f64 2 (log.f64 (sqrt.f64 (fma.f64 x -2 (/.f64 -1/2 x)))))
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (fma.f64 x -2 (/.f64 -1/2 x))) 2))) (log.f64 (cbrt.f64 (fma.f64 x -2 (/.f64 -1/2 x)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (fma.f64 x -2 (/.f64 -1/2 x))))) (log.f64 (cbrt.f64 (fma.f64 x -2 (/.f64 -1/2 x)))))
(*.f64 (log.f64 (cbrt.f64 (fma.f64 x -2 (/.f64 -1/2 x)))) 3)
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (fma.f64 x -2 (/.f64 -1/2 x))))) (log.f64 (sqrt.f64 (fma.f64 x -2 (/.f64 -1/2 x)))))
(*.f64 2 (log.f64 (sqrt.f64 (fma.f64 x -2 (/.f64 -1/2 x)))))
(+.f64 (*.f64 1 (log.f64 (pow.f64 (cbrt.f64 (fma.f64 x -2 (/.f64 -1/2 x))) 2))) (*.f64 1 (log.f64 (cbrt.f64 (fma.f64 x -2 (/.f64 -1/2 x))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (fma.f64 x -2 (/.f64 -1/2 x))))) (log.f64 (cbrt.f64 (fma.f64 x -2 (/.f64 -1/2 x)))))
(*.f64 (log.f64 (cbrt.f64 (fma.f64 x -2 (/.f64 -1/2 x)))) 3)
(+.f64 (*.f64 1 (log.f64 (sqrt.f64 (fma.f64 x -2 (/.f64 -1/2 x))))) (*.f64 1 (log.f64 (sqrt.f64 (fma.f64 x -2 (/.f64 -1/2 x))))))
(*.f64 2 (log.f64 (sqrt.f64 (fma.f64 x -2 (/.f64 -1/2 x)))))
(+.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (fma.f64 x -2 (/.f64 -1/2 x))) 2)) 1) (*.f64 (log.f64 (cbrt.f64 (fma.f64 x -2 (/.f64 -1/2 x)))) 1))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (fma.f64 x -2 (/.f64 -1/2 x))))) (log.f64 (cbrt.f64 (fma.f64 x -2 (/.f64 -1/2 x)))))
(*.f64 (log.f64 (cbrt.f64 (fma.f64 x -2 (/.f64 -1/2 x)))) 3)
(+.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x -2 (/.f64 -1/2 x)))) 1) (*.f64 (log.f64 (sqrt.f64 (fma.f64 x -2 (/.f64 -1/2 x)))) 1))
(*.f64 2 (log.f64 (sqrt.f64 (fma.f64 x -2 (/.f64 -1/2 x)))))
(-.f64 (log.f64 (+.f64 (*.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3)))) (log.f64 (+.f64 (*.f64 4 (*.f64 x x)) (*.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x))))))
(-.f64 (log.f64 (fma.f64 -8 (pow.f64 x 3) (/.f64 -1/8 (pow.f64 x 3)))) (log.f64 (fma.f64 4 (*.f64 x x) (*.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x))))))
(-.f64 (log.f64 (fma.f64 -8 (pow.f64 x 3) (/.f64 -1/8 (pow.f64 x 3)))) (log.f64 (fma.f64 x (*.f64 x 4) (/.f64 (+.f64 (*.f64 -1 x) (/.f64 1/4 x)) x))))
(-.f64 (log.f64 (+.f64 (*.f64 4 (*.f64 x x)) (/.f64 (/.f64 -1/4 x) x))) (log.f64 (fma.f64 x -2 (/.f64 1/2 x))))
(-.f64 (log.f64 (fma.f64 4 (*.f64 x x) (/.f64 -1/4 (*.f64 x x)))) (log.f64 (fma.f64 x -2 (/.f64 1/2 x))))
(-.f64 (log.f64 (fma.f64 x (*.f64 x 4) (/.f64 (/.f64 -1/4 x) x))) (log.f64 (fma.f64 x -2 (/.f64 1/2 x))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x))))) 1)
(log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))
(-.f64 (+.f64 0 (log.f64 (+.f64 (*.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3))))) (log.f64 (+.f64 (*.f64 4 (*.f64 x x)) (*.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x))))))
(-.f64 (log.f64 (fma.f64 -8 (pow.f64 x 3) (/.f64 -1/8 (pow.f64 x 3)))) (log.f64 (fma.f64 4 (*.f64 x x) (*.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x))))))
(-.f64 (log.f64 (fma.f64 -8 (pow.f64 x 3) (/.f64 -1/8 (pow.f64 x 3)))) (log.f64 (fma.f64 x (*.f64 x 4) (/.f64 (+.f64 (*.f64 -1 x) (/.f64 1/4 x)) x))))
(-.f64 (+.f64 0 (log.f64 (+.f64 (*.f64 4 (*.f64 x x)) (/.f64 (/.f64 -1/4 x) x)))) (log.f64 (fma.f64 x -2 (/.f64 1/2 x))))
(-.f64 (log.f64 (fma.f64 4 (*.f64 x x) (/.f64 -1/4 (*.f64 x x)))) (log.f64 (fma.f64 x -2 (/.f64 1/2 x))))
(-.f64 (log.f64 (fma.f64 x (*.f64 x 4) (/.f64 (/.f64 -1/4 x) x))) (log.f64 (fma.f64 x -2 (/.f64 1/2 x))))
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))))) 1)
(log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))
(*.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x))) 1)
(log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))
(*.f64 1 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x))))
(log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))
(*.f64 (sqrt.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))) (sqrt.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))))
(log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))
(*.f64 (cbrt.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))) (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))) 2))
(log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))) 2) (cbrt.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))))
(log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))
(*.f64 2 (log.f64 (sqrt.f64 (fma.f64 x -2 (/.f64 -1/2 x)))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x))))) (cbrt.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x))))) (*.f64 (sqrt.f64 (cbrt.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x))))) (cbrt.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x))))))
(log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))) 2))))
(*.f64 (cbrt.f64 (sqrt.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))) 2)))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))) 2) (*.f64 (cbrt.f64 (sqrt.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x))))) (cbrt.f64 (sqrt.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))))))
(*.f64 (*.f64 (cbrt.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))) (sqrt.f64 (cbrt.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))))) (*.f64 (cbrt.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))) (sqrt.f64 (cbrt.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))))))
(log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))))))
(*.f64 (cbrt.f64 (sqrt.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))) 2)))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))) 2) (*.f64 (cbrt.f64 (sqrt.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x))))) (cbrt.f64 (sqrt.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))))))
(pow.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x))) 1)
(log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))
(pow.f64 (sqrt.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))) 2)
(log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))
(pow.f64 (cbrt.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))) 3)
(log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))
(pow.f64 (pow.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x))) 3) 1/3)
(log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))
(sqrt.f64 (pow.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x))) 2))
(log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))
(cbrt.f64 (pow.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x))) 3))
(log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))
(expm1.f64 (log1p.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))))
(log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))
(exp.f64 (log.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))))
(log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))
(log1p.f64 (-.f64 (fma.f64 x -2 (/.f64 -1/2 x)) 1))
(log1p.f64 (+.f64 (fma.f64 x -2 (/.f64 -1/2 x)) -1))
(log1p.f64 (+.f64 -1 (fma.f64 x -2 (/.f64 -1/2 x))))

localize15.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.8b
(-.f64 (hypot.f64 1 x) x)
3.1b
(log.f64 (-.f64 (hypot.f64 1 x) x))
✓3.1b
(-.f64 (-.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1)
Compiler

Compiled 35 to 25 computations (28.6% saved)

series0.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite119.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
1188×associate-*r/
962×associate-*l/
942×*-commutative
686×distribute-lft-in
642×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01029
122221
2304121
Stop Event
1×node limit
Counts
1 → 107
Calls
Call 1
Inputs
(-.f64 (-.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 1 (+.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 1 (neg.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (+.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (neg.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))))) 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(-.f64 (hypot.f64 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))) (sqrt.f64 (-.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2) (cbrt.f64 (-.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))) -1)))))

simplify104.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
1636×associate-/r*
1578×associate-*r/
908×associate-*l/
844×*-commutative
728×associate-+r+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
03337591
19477347
235417347
Stop Event
1×node limit
Counts
119 → 197
Calls
Call 1
Inputs
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x)))
(*.f64 -1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)))
(+.f64 (*.f64 -1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 -1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (*.f64 -1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2)))
(-.f64 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2)))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2)))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 1 (+.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) -1))
(+.f64 1 (neg.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(+.f64 1 (*.f64 1 (+.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) -1)))
(+.f64 1 (*.f64 1 (neg.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))))))
(+.f64 1 (*.f64 (+.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) -1) 1))
(+.f64 1 (*.f64 (neg.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 1))
(+.f64 (-.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) -1)
(+.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 0)
(+.f64 0 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(+.f64 -1 (-.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(+.f64 (+.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) -1) 1)
(+.f64 (neg.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 1)
(+.f64 (-.f64 0 (log.f64 (+.f64 (*.f64 x x) (-.f64 1 (*.f64 x x))))) (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (-.f64 0 (log.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))) (log.f64 (+.f64 (+.f64 1 (*.f64 x x)) (*.f64 x (+.f64 x (hypot.f64 1 x))))))
(+.f64 (*.f64 -1 (log.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2))) (*.f64 -1 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))))
(+.f64 (*.f64 -1 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))) (*.f64 -1 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))))
(+.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2)) -1) (*.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) -1))
(+.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))) -1) (*.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))) -1))
(*.f64 1 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) -1)
(*.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1)
(*.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (neg.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(*.f64 (sqrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) (sqrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(*.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (neg.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) (neg.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(*.f64 (cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2) (cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(*.f64 (+.f64 (pow.f64 (-.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) -1) (/.f64 1 (-.f64 2 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(*.f64 -1 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (+.f64 -1 (pow.f64 (-.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3)) (/.f64 1 (+.f64 (pow.f64 (-.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) (-.f64 2 (log.f64 (-.f64 (hypot.f64 1 x) x))))))
(*.f64 (neg.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2)) (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(*.f64 (neg.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2))
(*.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))))) (-.f64 (sqrt.f64 (-.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 1))
(*.f64 (-.f64 (sqrt.f64 (-.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 1) (+.f64 1 (sqrt.f64 (-.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))))))
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(pow.f64 (pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3) 1/3)
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(sqrt.f64 (pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2))
(log.f64 (exp.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))
(log.f64 (+.f64 1 (expm1.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))))
(cbrt.f64 (pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3))
(expm1.f64 (log1p.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(exp.f64 (log.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(log1p.f64 (expm1.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(fma.f64 1 (-.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) -1)
(fma.f64 (sqrt.f64 (-.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))) (sqrt.f64 (-.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2) (cbrt.f64 (-.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))) -1)
Outputs
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x)))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x)))
(*.f64 -1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)))
(neg.f64 (+.f64 (neg.f64 (log.f64 x)) (log.f64 1/2)))
(neg.f64 (-.f64 (log.f64 1/2) (log.f64 x)))
(+.f64 (*.f64 -1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(fma.f64 -1 (+.f64 (neg.f64 (log.f64 x)) (log.f64 1/2)) (/.f64 1/4 (*.f64 x x)))
(-.f64 (/.f64 1/4 (*.f64 x x)) (-.f64 (log.f64 1/2) (log.f64 x)))
(-.f64 (+.f64 (*.f64 -1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (fma.f64 -1 (+.f64 (neg.f64 (log.f64 x)) (log.f64 1/2)) (/.f64 1/4 (*.f64 x x))) (/.f64 3/32 (pow.f64 x 4)))
(+.f64 (-.f64 (/.f64 1/4 (*.f64 x x)) (-.f64 (log.f64 1/2) (log.f64 x))) (/.f64 -3/32 (pow.f64 x 4)))
(-.f64 (/.f64 1/4 (*.f64 x x)) (-.f64 (-.f64 (log.f64 1/2) (log.f64 x)) (/.f64 -3/32 (pow.f64 x 4))))
(-.f64 (+.f64 (*.f64 -1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (fma.f64 -1 (+.f64 (neg.f64 (log.f64 x)) (log.f64 1/2)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6)))) (/.f64 3/32 (pow.f64 x 4)))
(+.f64 (+.f64 (-.f64 (/.f64 1/4 (*.f64 x x)) (-.f64 (log.f64 1/2) (log.f64 x))) (/.f64 5/96 (pow.f64 x 6))) (/.f64 -3/32 (pow.f64 x 4)))
(+.f64 (-.f64 (/.f64 1/4 (*.f64 x x)) (-.f64 (log.f64 1/2) (log.f64 x))) (-.f64 (/.f64 5/96 (pow.f64 x 6)) (/.f64 3/32 (pow.f64 x 4))))
(*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2)))
(neg.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 2)))
(neg.f64 (-.f64 (log.f64 2) (log.f64 (/.f64 -1 x))))
(-.f64 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (neg.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 2))) (/.f64 1/4 (*.f64 x x)))
(fma.f64 -1 (-.f64 (log.f64 2) (log.f64 (/.f64 -1 x))) (/.f64 -1/4 (*.f64 x x)))
(fma.f64 -1 (-.f64 (log.f64 2) (log.f64 (/.f64 -1 x))) (/.f64 (/.f64 -1/4 x) x))
(-.f64 (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2)))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 3/32 (pow.f64 x 4)) (-.f64 (neg.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 2))) (/.f64 1/4 (*.f64 x x))))
(+.f64 (-.f64 (/.f64 3/32 (pow.f64 x 4)) (-.f64 (log.f64 2) (log.f64 (/.f64 -1 x)))) (/.f64 -1/4 (*.f64 x x)))
(+.f64 (+.f64 (-.f64 (/.f64 3/32 (pow.f64 x 4)) (log.f64 2)) (log.f64 (/.f64 -1 x))) (/.f64 (/.f64 -1/4 x) x))
(-.f64 (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2)))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (/.f64 3/32 (pow.f64 x 4)) (-.f64 (neg.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 2))) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6)))))
(+.f64 (-.f64 (-.f64 (/.f64 3/32 (pow.f64 x 4)) (-.f64 (log.f64 2) (log.f64 (/.f64 -1 x)))) (/.f64 5/96 (pow.f64 x 6))) (/.f64 -1/4 (*.f64 x x)))
(+.f64 (+.f64 (-.f64 (/.f64 3/32 (pow.f64 x 4)) (log.f64 2)) (log.f64 (/.f64 -1 x))) (-.f64 (/.f64 (/.f64 -1/4 x) x) (/.f64 5/96 (pow.f64 x 6))))
(+.f64 1 (+.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) -1))
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(+.f64 1 (neg.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(+.f64 1 (*.f64 1 (+.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) -1)))
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(+.f64 1 (*.f64 1 (neg.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))))))
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(+.f64 1 (*.f64 (+.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) -1) 1))
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(+.f64 1 (*.f64 (neg.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 1))
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(+.f64 (-.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) -1)
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(+.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 0)
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(+.f64 0 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(+.f64 -1 (-.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(+.f64 (+.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) -1) 1)
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(+.f64 (neg.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 1)
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(+.f64 (-.f64 0 (log.f64 (+.f64 (*.f64 x x) (-.f64 1 (*.f64 x x))))) (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (neg.f64 (log.f64 (fma.f64 x x (-.f64 1 (*.f64 x x))))) (log.f64 (+.f64 x (hypot.f64 1 x))))
(-.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (log.f64 (-.f64 (fma.f64 x x 1) (*.f64 x x))))
(+.f64 (-.f64 0 (log.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))) (log.f64 (+.f64 (+.f64 1 (*.f64 x x)) (*.f64 x (+.f64 x (hypot.f64 1 x))))))
(+.f64 (neg.f64 (log.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))) (log.f64 (+.f64 1 (+.f64 (*.f64 x x) (*.f64 x (+.f64 x (hypot.f64 1 x)))))))
(-.f64 (log1p.f64 (*.f64 x (+.f64 x (+.f64 x (hypot.f64 1 x))))) (log.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))))
(-.f64 (log1p.f64 (*.f64 x (+.f64 (+.f64 x x) (hypot.f64 1 x)))) (log.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))))
(+.f64 (*.f64 -1 (log.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2))) (*.f64 -1 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))))
(fma.f64 -1 (*.f64 2 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))) (neg.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))))
(neg.f64 (*.f64 3 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))))
(+.f64 (*.f64 -1 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))) (*.f64 -1 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))))
(*.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))) -2)
(+.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2)) -1) (*.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) -1))
(fma.f64 -1 (*.f64 2 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))) (neg.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))))
(neg.f64 (*.f64 3 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))))
(+.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))) -1) (*.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))) -1))
(*.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))) -2)
(*.f64 1 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) -1)
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1)
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (neg.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (sqrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) (sqrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (neg.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2)))
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) (neg.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2))
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2) (cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (+.f64 (pow.f64 (-.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) -1) (/.f64 1 (-.f64 2 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 -1 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (+.f64 -1 (pow.f64 (-.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3)) (/.f64 1 (+.f64 (pow.f64 (-.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) (-.f64 2 (log.f64 (-.f64 (hypot.f64 1 x) x))))))
(/.f64 (+.f64 -1 (pow.f64 (-.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3)) (+.f64 (pow.f64 (-.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) (-.f64 2 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(/.f64 (-.f64 1 (pow.f64 (-.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3)) (+.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) (-.f64 -2 (pow.f64 (-.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2))))
(*.f64 (neg.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2)) (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (neg.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2))
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))))) (-.f64 (sqrt.f64 (-.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 1))
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (-.f64 (sqrt.f64 (-.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 1) (+.f64 1 (sqrt.f64 (-.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))))))
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (/.f64 1 (-.f64 2 (log.f64 (-.f64 (hypot.f64 1 x) x)))) (+.f64 (pow.f64 (-.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) -1))
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (-.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) (-.f64 2 (log.f64 (-.f64 (hypot.f64 1 x) x))))) (+.f64 -1 (pow.f64 (-.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3)))
(*.f64 (+.f64 -1 (pow.f64 (-.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3)) (/.f64 1 (+.f64 (pow.f64 (-.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) (-.f64 2 (log.f64 (-.f64 (hypot.f64 1 x) x))))))
(/.f64 (+.f64 -1 (pow.f64 (-.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3)) (+.f64 (pow.f64 (-.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) (-.f64 2 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(/.f64 (-.f64 1 (pow.f64 (-.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3)) (+.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) (-.f64 -2 (pow.f64 (-.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2))))
(*.f64 (/.f64 (+.f64 (pow.f64 (-.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) -1) (+.f64 (pow.f64 (-.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) -1)) (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (/.f64 (+.f64 (pow.f64 (-.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) -1) (-.f64 1 (pow.f64 (-.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2))) (log.f64 (-.f64 (hypot.f64 1 x) x)))
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (/.f64 (+.f64 (pow.f64 (-.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) -1) (+.f64 1 (pow.f64 (-.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3))) (+.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) (pow.f64 (-.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2)))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (-.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2)) (+.f64 1 (pow.f64 (-.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3))) (+.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) (pow.f64 (-.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2)))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (-.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3)) (-.f64 (*.f64 (pow.f64 (-.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) (pow.f64 (-.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2)) (*.f64 (-.f64 2 (log.f64 (-.f64 (hypot.f64 1 x) x))) (-.f64 2 (log.f64 (-.f64 (hypot.f64 1 x) x)))))) (-.f64 (pow.f64 (-.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) (-.f64 2 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
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(cbrt.f64 (pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3))
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(expm1.f64 (log1p.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(exp.f64 (log.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(log1p.f64 (expm1.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(fma.f64 1 (-.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) -1)
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(fma.f64 (sqrt.f64 (-.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))) (sqrt.f64 (-.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))) -1)
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2) (cbrt.f64 (-.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))) -1)
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))

localize36.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2)
0.8b
(-.f64 (hypot.f64 1 x) x)
✓3.1b
(log.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2))
✓3.2b
(log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))
Compiler

Compiled 77 to 57 computations (26% saved)

series5.0ms (0.1%)

Counts
3 → 12
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@0
(log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))
1.0ms
x
@-inf
(log.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2))
1.0ms
x
@inf
(log.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2))
1.0ms
x
@0
(log.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2))
1.0ms
x
@inf
(log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))

rewrite123.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
908×*-commutative
712×unswap-sqr
534×swap-sqr
432×distribute-lft-in
430×associate-*r/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01271
123771
2277667
Stop Event
1×node limit
Counts
3 → 137
Calls
Call 1
Inputs
(log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))
(log.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2))
(pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2)
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2/3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 4)) (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 1/6)) (+.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 1/6)) (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 2)) (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 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simplify69.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
438×associate-*r*
428×associate-*l*
424×fma-def
262×*-commutative
188×+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0361935
1861935
23738935
Stop Event
1×unsound
Counts
149 → 161
Calls
Call 1
Inputs
(*.f64 -1/3 x)
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 -1/3 x))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 -1/40 (pow.f64 x 5)) (*.f64 -1/3 x)))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 -1/40 (pow.f64 x 5)) (+.f64 (*.f64 -1/3 x) (*.f64 5/336 (pow.f64 x 7)))))
(*.f64 -2/3 x)
(+.f64 (*.f64 -2/3 x) (*.f64 1/9 (pow.f64 x 3)))
(+.f64 (*.f64 -2/3 x) (+.f64 (*.f64 1/9 (pow.f64 x 3)) (*.f64 -1/20 (pow.f64 x 5))))
(+.f64 (*.f64 -2/3 x) (+.f64 (*.f64 1/9 (pow.f64 x 3)) (+.f64 (*.f64 5/168 (pow.f64 x 7)) (*.f64 -1/20 (pow.f64 x 5)))))
1
(+.f64 1 (*.f64 -2/3 x))
(+.f64 1 (+.f64 (*.f64 -2/3 x) (*.f64 2/9 (pow.f64 x 2))))
(+.f64 1 (+.f64 (*.f64 -2/3 x) (+.f64 (*.f64 2/9 (pow.f64 x 2)) (*.f64 5/81 (pow.f64 x 3)))))
(+.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 0)
(+.f64 0 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
(+.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 1/6)) (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 1/6)))
(+.f64 (log.f64 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))) (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 2)) (log.f64 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))))
(+.f64 (+.f64 0 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 1/6))) (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 1/6)))
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 2))) (log.f64 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))))
(+.f64 (*.f64 1 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 2))) (*.f64 1 (log.f64 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))))
(+.f64 (*.f64 1 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 1/6))) (*.f64 1 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 1/6))))
(+.f64 (*.f64 1/3 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2/3)) (*.f64 1/3 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))))
(+.f64 (*.f64 1/3 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))) (*.f64 1/3 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))))
(+.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 2)) 1) (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))) 1))
(+.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 1/6)) 1) (*.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 1/6)) 1))
(+.f64 (*.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2/3) 1/3) (*.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 1/3))
(+.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))) 1/3) (*.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))) 1/3))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))) 1)
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))))) 1)
(*.f64 1 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
(*.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 1)
(*.f64 2 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 1/6)))
(*.f64 (sqrt.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))) (sqrt.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))))
(*.f64 (cbrt.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))) (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))) 2) (cbrt.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))))
(*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 1/3)
(*.f64 1/3 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))) (cbrt.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))) (*.f64 (sqrt.f64 (cbrt.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))) (cbrt.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))) 2))))
(*.f64 (*.f64 (cbrt.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))) (sqrt.f64 (cbrt.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))))) (*.f64 (cbrt.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))) (sqrt.f64 (cbrt.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))) 3/2) (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))) 3/2))
(*.f64 (pow.f64 (pow.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 3) 1/6) (pow.f64 (pow.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 3) 1/6))
(/.f64 (-.f64 0 (pow.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 2)) (-.f64 0 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))))
(/.f64 (-.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 1/6)) (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 1/6))) (*.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 1/6)) (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 1/6)))) (-.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 1/6)) (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 1/6))))
(/.f64 (-.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 2)) (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 2))) (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))) (log.f64 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))))) (-.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 2)) (log.f64 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))))
(pow.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 1)
(pow.f64 (sqrt.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))) 2)
(pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))) 3)
(pow.f64 (pow.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 3) 1/3)
(sqrt.f64 (pow.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 2))
(cbrt.f64 (pow.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))))
(exp.f64 (log.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))))
(log1p.f64 (-.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 1))
(+.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
(+.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2/3) 0)
(+.f64 0 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2/3))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 4)) (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 2)))
(+.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 1/6)) (+.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 1/6)) (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 2)) (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 4)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 2)) (+.f64 (log.f64 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))) (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))))
(+.f64 (+.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 1/6))) (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 1/6)))
(+.f64 (+.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 2))) (log.f64 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))))
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 4))) (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 2)))
(+.f64 (*.f64 1 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 4))) (*.f64 1 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 2))))
(+.f64 (*.f64 2 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 2))) (*.f64 2 (log.f64 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))))
(+.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 4)) 1) (*.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 2)) 1))
(+.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 1/6)) 2) (*.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 1/6)) 2))
(+.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 2)) 2) (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))) 2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2/3))) 1)
(-.f64 (exp.f64 (log1p.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))) (-.f64 1 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))))
(-.f64 (+.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) (exp.f64 (log1p.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))))) 1)
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2/3)))) 1)
(*.f64 1 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2/3))
(*.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 2)
(*.f64 2 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
(*.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2/3) 1)
(*.f64 (sqrt.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2/3)) (sqrt.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2/3)))
(*.f64 (sqrt.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))) (*.f64 2 (sqrt.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))))
(*.f64 (sqrt.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))) (+.f64 (sqrt.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))) (sqrt.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))))
(*.f64 (cbrt.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2/3)) (pow.f64 (cbrt.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2/3)) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2/3)) 2) (cbrt.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2/3)))
(*.f64 (cbrt.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))) (*.f64 2 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))) 2)))
(*.f64 (cbrt.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))) (+.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))) 2) (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))) 2)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))) 2) (*.f64 2 (cbrt.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))) 2) (+.f64 (cbrt.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))) (cbrt.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))))
(*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2/3)
(*.f64 1/3 (*.f64 2 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(*.f64 (*.f64 2 (sqrt.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))) (sqrt.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))))
(*.f64 (*.f64 2 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))) 2)) (cbrt.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))))
(*.f64 (*.f64 2 (cbrt.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))) (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))) 2))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2/3))) (cbrt.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2/3))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2/3))) (cbrt.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2/3))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2/3))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2/3)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2/3))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2/3)) 2))))
(*.f64 (*.f64 (cbrt.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2/3)) (sqrt.f64 (cbrt.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2/3)))) (*.f64 (cbrt.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2/3)) (sqrt.f64 (cbrt.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2/3)))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2/3)) 2)) (cbrt.f64 (sqrt.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2/3)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2/3)) 2)) (cbrt.f64 (sqrt.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2/3)))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2/3)) 3/2) (pow.f64 (cbrt.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2/3)) 3/2))
(*.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2/3) 3) 1/6) (pow.f64 (pow.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2/3) 3) 1/6))
(/.f64 (-.f64 (pow.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 2) (pow.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 2)) (-.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))))
(/.f64 (-.f64 0 (pow.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2/3) 2)) (-.f64 0 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2/3)))
(/.f64 (-.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 4)) (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 4))) (*.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 2)) (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 2)))) (-.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 4)) (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 2))))
(pow.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2/3) 1)
(pow.f64 (sqrt.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2/3)) 2)
(pow.f64 (cbrt.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2/3)) 3)
(pow.f64 (pow.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2/3) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2/3) 2))
(cbrt.f64 (pow.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2/3) 3))
(expm1.f64 (log1p.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2/3)))
(exp.f64 (log.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2/3)))
(log1p.f64 (expm1.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2/3)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 2)))) 1)
(*.f64 1 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 2)))
(*.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 2)) 1)
(*.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 1/6) (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) (pow.f64 (-.f64 (hypot.f64 1 x) x) 1/6))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 4))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 2) (*.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 4) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 2))
(*.f64 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) (*.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 2)))
(*.f64 (*.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 2))
(*.f64 (*.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 2)) (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
(*.f64 (*.f64 (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6))) (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 2)))
(*.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) 1/6) (pow.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) 1/6)) (pow.f64 (-.f64 (hypot.f64 1 x) x) 1/6)) (*.f64 (*.f64 (pow.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) 1/6) (pow.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) 1/6)) (pow.f64 (-.f64 (hypot.f64 1 x) x) 1/6)))
(*.f64 (*.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 1/6) (*.f64 (pow.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) 1/6) (pow.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) 1/6))) (*.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 1/6) (*.f64 (pow.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) 1/6) (pow.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) 1/6))))
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))) (sqrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 1/6))) (*.f64 (sqrt.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))) (sqrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 1/6))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 2)) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 2)))
(*.f64 (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 4))) (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 4))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 4)) (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 4)) (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 2) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 2))) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 2) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 2))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 2) 3/2) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 2) 3/2))
(*.f64 (pow.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 2) 1/6) (pow.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 2) 1/6))
(*.f64 (pow.f64 (exp.f64 2) (/.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 2)) (pow.f64 (exp.f64 2) (/.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 2)))
(*.f64 (pow.f64 (E.f64) (/.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2/3) 2)) (pow.f64 (E.f64) (/.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2/3) 2)))
(*.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2/3)) 2)) (/.f64 (cbrt.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2/3)) 2)) (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2/3)) 2)) (/.f64 (cbrt.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2/3)) 2)))
(*.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2/3))) (/.f64 (sqrt.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2/3)) 2)) (pow.f64 (exp.f64 (sqrt.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2/3))) (/.f64 (sqrt.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2/3)) 2)))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) (cbrt.f64 (+.f64 (*.f64 x x) (-.f64 1 (*.f64 x x))))) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))) (cbrt.f64 (+.f64 1 (+.f64 (*.f64 x x) (*.f64 x (+.f64 x (hypot.f64 1 x)))))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 x x) (-.f64 1 (*.f64 x x)))) (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) (cbrt.f64 (+.f64 1 (+.f64 (*.f64 x x) (*.f64 x (+.f64 x (hypot.f64 1 x)))))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 x x) (-.f64 1 (*.f64 x x)))) (pow.f64 (-.f64 (hypot.f64 1 x) x) 1/6)) (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (pow.f64 (-.f64 (hypot.f64 1 x) x) 1/6)) (sqrt.f64 (+.f64 1 (+.f64 (*.f64 x x) (*.f64 x (+.f64 x (hypot.f64 1 x)))))))
(sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 4))
(log.f64 (exp.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 2))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 2)))))
(cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 2))
(expm1.f64 (log1p.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 2))))
(exp.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2/3))
(log1p.f64 (expm1.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 2))))
Outputs
(*.f64 -1/3 x)
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 -1/3 x))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 -1/3 x))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 -1/40 (pow.f64 x 5)) (*.f64 -1/3 x)))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 -1/40 (pow.f64 x 5) (*.f64 -1/3 x)))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 -1/40 (pow.f64 x 5)) (+.f64 (*.f64 -1/3 x) (*.f64 5/336 (pow.f64 x 7)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 -1/40 (pow.f64 x 5) (fma.f64 -1/3 x (*.f64 5/336 (pow.f64 x 7)))))
(*.f64 -2/3 x)
(*.f64 -1/3 x)
(+.f64 (*.f64 -2/3 x) (*.f64 1/9 (pow.f64 x 3)))
(fma.f64 -2/3 x (*.f64 (pow.f64 x 3) 1/9))
(+.f64 (*.f64 -2/3 x) (+.f64 (*.f64 1/9 (pow.f64 x 3)) (*.f64 -1/20 (pow.f64 x 5))))
(fma.f64 -2/3 x (fma.f64 1/9 (pow.f64 x 3) (*.f64 (pow.f64 x 5) -1/20)))
(+.f64 (*.f64 -2/3 x) (+.f64 (*.f64 1/9 (pow.f64 x 3)) (+.f64 (*.f64 5/168 (pow.f64 x 7)) (*.f64 -1/20 (pow.f64 x 5)))))
(fma.f64 -2/3 x (fma.f64 1/9 (pow.f64 x 3) (fma.f64 5/168 (pow.f64 x 7) (*.f64 (pow.f64 x 5) -1/20))))
1
(+.f64 1 (*.f64 -2/3 x))
(*.f64 -1/3 x)
(+.f64 1 (+.f64 (*.f64 -2/3 x) (*.f64 2/9 (pow.f64 x 2))))
(fma.f64 -2/3 x (*.f64 (pow.f64 x 3) 1/9))
(+.f64 1 (+.f64 (*.f64 -2/3 x) (+.f64 (*.f64 2/9 (pow.f64 x 2)) (*.f64 5/81 (pow.f64 x 3)))))
(+.f64 1 (fma.f64 -2/3 x (fma.f64 2/9 (*.f64 x x) (*.f64 (pow.f64 x 3) 5/81))))
(+.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 0)
1
(+.f64 0 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
1
(+.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 1/6)) (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 1/6)))
1
(+.f64 (log.f64 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))) (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 2)))
1
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 2)) (log.f64 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))))
1
(+.f64 (+.f64 0 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 1/6))) (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 1/6)))
1
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 2))) (log.f64 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))))
1
(+.f64 (*.f64 1 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 2))) (*.f64 1 (log.f64 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))))
1
(+.f64 (*.f64 1 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 1/6))) (*.f64 1 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 1/6))))
1
(+.f64 (*.f64 1/3 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2/3)) (*.f64 1/3 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))))
1
(+.f64 (*.f64 1/3 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))) (*.f64 1/3 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))))
1
(+.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 2)) 1) (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))) 1))
1
(+.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 1/6)) 1) (*.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 1/6)) 1))
1
(+.f64 (*.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2/3) 1/3) (*.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 1/3))
1
(+.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))) 1/3) (*.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))) 1/3))
1
(-.f64 (exp.f64 (log1p.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))) 1)
1
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))))) 1)
1
(*.f64 1 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
1
(*.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 1)
1
(*.f64 2 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 1/6)))
1
(*.f64 (sqrt.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))) (sqrt.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))))
1
(*.f64 (cbrt.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))) (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))) 2))
1
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))) 2) (cbrt.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))))
1
(*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 1/3)
1
(*.f64 1/3 (log.f64 (-.f64 (hypot.f64 1 x) x)))
1
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))) (cbrt.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))) (*.f64 (sqrt.f64 (cbrt.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))) (cbrt.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))))
1
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))) 2))))
1
(*.f64 (*.f64 (cbrt.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))) (sqrt.f64 (cbrt.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))))) (*.f64 (cbrt.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))) (sqrt.f64 (cbrt.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))))))
1
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))))))
1
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))) 3/2) (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))) 3/2))
1
(*.f64 (pow.f64 (pow.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 3) 1/6) (pow.f64 (pow.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 3) 1/6))
1
(/.f64 (-.f64 0 (pow.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 2)) (-.f64 0 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))))
1
(/.f64 (-.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 1/6)) (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 1/6))) (*.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 1/6)) (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 1/6)))) (-.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 1/6)) (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 1/6))))
1
(/.f64 (-.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 2)) (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 2))) (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))) (log.f64 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))))) (-.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 2)) (log.f64 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))))
1
(pow.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 1)
1
(pow.f64 (sqrt.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))) 2)
1
(pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))) 3)
1
(pow.f64 (pow.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 3) 1/3)
1
(sqrt.f64 (pow.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 2))
1
(cbrt.f64 (pow.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 3))
1
(expm1.f64 (log1p.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))))
1
(exp.f64 (log.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))))
1
(log1p.f64 (-.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 1))
(log1p.f64 (+.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) -1))
(+.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
1
(+.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2/3) 0)
1
(+.f64 0 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2/3))
1
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 4)) (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 2)))
1
(+.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 1/6)) (+.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 1/6)) (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))))
1
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 2)) (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 4)))
1
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 2)) (+.f64 (log.f64 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))) (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))))
1
(+.f64 (+.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 1/6))) (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 1/6)))
1
(+.f64 (+.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 2))) (log.f64 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))))
1
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 4))) (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 2)))
1
(+.f64 (*.f64 1 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 4))) (*.f64 1 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 2))))
1
(+.f64 (*.f64 2 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 2))) (*.f64 2 (log.f64 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))))
1
(+.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 4)) 1) (*.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 2)) 1))
1
(+.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 1/6)) 2) (*.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 1/6)) 2))
1
(+.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 2)) 2) (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))) 2))
1
(-.f64 (exp.f64 (log1p.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2/3))) 1)
1
(-.f64 (exp.f64 (log1p.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))) (-.f64 1 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))))
1
(-.f64 (+.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) (exp.f64 (log1p.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))))) 1)
1
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2/3)))) 1)
1
(*.f64 1 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2/3))
1
(*.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 2)
1
(*.f64 2 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
1
(*.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2/3) 1)
1
(*.f64 (sqrt.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2/3)) (sqrt.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2/3)))
1
(*.f64 (sqrt.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))) (*.f64 2 (sqrt.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))))
1
(*.f64 (sqrt.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))) (+.f64 (sqrt.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))) (sqrt.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))))
1
(*.f64 (cbrt.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2/3)) (pow.f64 (cbrt.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2/3)) 2))
1
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2/3)) 2) (cbrt.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2/3)))
1
(*.f64 (cbrt.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))) (*.f64 2 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))) 2)))
1
(*.f64 (cbrt.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))) (+.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))) 2) (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))) 2)))
1
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))) 2) (*.f64 2 (cbrt.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))))
1
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))) 2) (+.f64 (cbrt.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))) (cbrt.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))))
1
(*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2/3)
1
(*.f64 1/3 (*.f64 2 (log.f64 (-.f64 (hypot.f64 1 x) x))))
1
(*.f64 (*.f64 2 (sqrt.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))) (sqrt.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))))
1
(*.f64 (*.f64 2 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))) 2)) (cbrt.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))))
1
(*.f64 (*.f64 2 (cbrt.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))) (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))) 2))
1
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2/3))) (cbrt.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2/3))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2/3))) (cbrt.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2/3))))
1
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2/3))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2/3)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2/3))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2/3)) 2))))
1
(*.f64 (*.f64 (cbrt.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2/3)) (sqrt.f64 (cbrt.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2/3)))) (*.f64 (cbrt.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2/3)) (sqrt.f64 (cbrt.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2/3)))))
1
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2/3)) 2)) (cbrt.f64 (sqrt.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2/3)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2/3)) 2)) (cbrt.f64 (sqrt.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2/3)))))
1
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2/3)) 3/2) (pow.f64 (cbrt.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2/3)) 3/2))
1
(*.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2/3) 3) 1/6) (pow.f64 (pow.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2/3) 3) 1/6))
1
(/.f64 (-.f64 (pow.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 2) (pow.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 2)) (-.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))))
1
(/.f64 (-.f64 0 (pow.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2/3) 2)) (-.f64 0 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2/3)))
1
(/.f64 (-.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 4)) (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 4))) (*.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 2)) (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 2)))) (-.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 4)) (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 2))))
1
(pow.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2/3) 1)
1
(pow.f64 (sqrt.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2/3)) 2)
1
(pow.f64 (cbrt.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2/3)) 3)
1
(pow.f64 (pow.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2/3) 3) 1/3)
1
(sqrt.f64 (pow.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2/3) 2))
1
(cbrt.f64 (pow.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2/3) 3))
1
(expm1.f64 (log1p.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2/3)))
1
(exp.f64 (log.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2/3)))
1
(log1p.f64 (expm1.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2/3)))
1
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 2)))) 1)
1
(*.f64 1 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 2)))
1
(*.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))
1
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 2)) 1)
1
(*.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 1/6) (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))
1
(*.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) (pow.f64 (-.f64 (hypot.f64 1 x) x) 1/6))
1
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 4))
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(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 2) (*.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))))
1
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 4) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 2))
1
(*.f64 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) (*.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 2)))
1
(*.f64 (*.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 2))
1
(*.f64 (*.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 2)) (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
1
(*.f64 (*.f64 (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6))) (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 2)))
1
(*.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) 1/6) (pow.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) 1/6)) (pow.f64 (-.f64 (hypot.f64 1 x) x) 1/6)) (*.f64 (*.f64 (pow.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) 1/6) (pow.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) 1/6)) (pow.f64 (-.f64 (hypot.f64 1 x) x) 1/6)))
1
(*.f64 (*.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 1/6) (*.f64 (pow.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) 1/6) (pow.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) 1/6))) (*.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 1/6) (*.f64 (pow.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) 1/6) (pow.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) 1/6))))
1
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))) (sqrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 1/6))) (*.f64 (sqrt.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))) (sqrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 1/6))))
1
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 2)) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 2)))
1
(*.f64 (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 4))) (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 4))))
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(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 4)) (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 4)) (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))))
1
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 2) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 2))) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 2) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 2))))
1
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 2) 3/2) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 2) 3/2))
1
(*.f64 (pow.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 2) 1/6) (pow.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 2) 1/6))
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(*.f64 (pow.f64 (exp.f64 2) (/.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 2)) (pow.f64 (exp.f64 2) (/.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 2)))
1
(*.f64 (pow.f64 (E.f64) (/.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2/3) 2)) (pow.f64 (E.f64) (/.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2/3) 2)))
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(*.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2/3)) 2)) (/.f64 (cbrt.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2/3)) 2)) (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2/3)) 2)) (/.f64 (cbrt.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2/3)) 2)))
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(*.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2/3))) (/.f64 (sqrt.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2/3)) 2)) (pow.f64 (exp.f64 (sqrt.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2/3))) (/.f64 (sqrt.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2/3)) 2)))
1
(/.f64 (*.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) (cbrt.f64 (+.f64 (*.f64 x x) (-.f64 1 (*.f64 x x))))) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))
(/.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) (/.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (cbrt.f64 (fma.f64 x x (-.f64 1 (*.f64 x x))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))) (cbrt.f64 (+.f64 1 (+.f64 (*.f64 x x) (*.f64 x (+.f64 x (hypot.f64 1 x)))))))
(/.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) (/.f64 (cbrt.f64 (+.f64 1 (*.f64 x (+.f64 x (+.f64 x (hypot.f64 1 x)))))) (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 x x) (-.f64 1 (*.f64 x x)))) (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))
(/.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) (/.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (cbrt.f64 (fma.f64 x x (-.f64 1 (*.f64 x x))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) (cbrt.f64 (+.f64 1 (+.f64 (*.f64 x x) (*.f64 x (+.f64 x (hypot.f64 1 x)))))))
(/.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) (/.f64 (cbrt.f64 (+.f64 1 (*.f64 x (+.f64 x (+.f64 x (hypot.f64 1 x)))))) (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 x x) (-.f64 1 (*.f64 x x)))) (pow.f64 (-.f64 (hypot.f64 1 x) x) 1/6)) (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(/.f64 (sqrt.f64 (fma.f64 x x (-.f64 1 (*.f64 x x)))) (/.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (pow.f64 (-.f64 (hypot.f64 1 x) x) 1/6)))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (pow.f64 (-.f64 (hypot.f64 1 x) x) 1/6)) (sqrt.f64 (+.f64 1 (+.f64 (*.f64 x x) (*.f64 x (+.f64 x (hypot.f64 1 x)))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (/.f64 (sqrt.f64 (+.f64 1 (*.f64 x (+.f64 x (+.f64 x (hypot.f64 1 x)))))) (pow.f64 (-.f64 (hypot.f64 1 x) x) 1/6)))
(sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 4))
1
(log.f64 (exp.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 2))))
1
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 2)))))
1
(cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 2))
1
(expm1.f64 (log1p.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 2))))
1
(exp.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2/3))
1
(log1p.f64 (expm1.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 2))))
1

eval581.0ms (6.5%)

Compiler

Compiled 28032 to 21776 computations (22.3% saved)

prune267.0ms (3%)

Pruning

17 alts after pruning (8 fresh and 9 done)

PrunedKeptTotal
New111871125
Fresh112
Picked101
Done1910
Total1121171138
Error
0b
Counts
1138 → 17
Alt Table
Click to see full alt table
StatusErrorProgram
46.0b
(/.f64 (-.f64 (*.f64 x x) 0) (-.f64 x 0))
45.5b
(/.f64 (-.f64 1 (*.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))))) (+.f64 2 (log.f64 (-.f64 (hypot.f64 1 x) x))))
29.7b
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))
✓45.4b
(-.f64 (-.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1)
✓59.9b
(-.f64 (+.f64 x 1) 1)
30.4b
(+.f64 (*.f64 (*.f64 x x) (-.f64 (+.f64 1 (*.f64 x -1/6)) 1)) x)
✓30.4b
(+.f64 (*.f64 (*.f64 x x) (*.f64 x -1/6)) x)
29.6b
(*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
45.7b
(neg.f64 (+.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2/3)) 2) (cbrt.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2/3))) (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))))
45.5b
(neg.f64 (+.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2/3) (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))))
✓45.4b
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
✓47.6b
(neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x))))
✓48.2b
(log.f64 (/.f64 -1/2 x))
✓46.3b
(log.f64 (+.f64 x (hypot.f64 1 x)))
✓48.3b
(log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))
✓48.9b
(log.f64 (+.f64 x x))
29.0b
x
Compiler

Compiled 199 to 150 computations (24.6% saved)

regimes69.0ms (0.8%)

Counts
25 → 3
Calls
Call 1
Inputs
x
(-.f64 (+.f64 x 1) 1)
(+.f64 (*.f64 (*.f64 x x) (*.f64 x -1/6)) x)
(/.f64 (-.f64 (*.f64 x x) 0) (-.f64 x 0))
(*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))
(+.f64 (*.f64 (*.f64 x x) (-.f64 (+.f64 1 (*.f64 x -1/6)) 1)) x)
(log.f64 (+.f64 x x))
(log.f64 (/.f64 -1/2 x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))
(neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x))))
(log.f64 (/.f64 1 (-.f64 (*.f64 x -2) (/.f64 1/2 x))))
(+.f64 (-.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))) 1) x)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
(-.f64 (-.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1)
(-.f64 (exp.f64 (log1p.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))) 1)
(neg.f64 (+.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2/3) (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))))
(/.f64 (-.f64 1 (*.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))))) (+.f64 2 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(neg.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2)) (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3)) (+.f64 (pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) (+.f64 2 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(neg.f64 (+.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2/3)) 2) (cbrt.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2/3))) (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))))
Outputs
(-.f64 (-.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1)
(+.f64 (*.f64 (*.f64 x x) (*.f64 x -1/6)) x)
(log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))
Calls

3 calls:

36.0ms
x
13.0ms
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
12.0ms
(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
Results
ErrorSegmentsBranch
0.0b3x
7.8b3(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
7.8b3(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
Compiler

Compiled 310 to 228 computations (26.5% saved)

bsearch36.0ms (0.4%)

Algorithm
2×binary-search
Steps
TimeLeftRight
20.0ms
1.7457719864590838e-7
116720.43586971285
16.0ms
-0.04536594463108627
-6.306068515789723e-6
Results
32.0ms288×body256valid
Compiler

Compiled 408 to 286 computations (29.9% saved)

regimes51.0ms (0.6%)

Counts
18 → 3
Calls
Call 1
Inputs
x
(-.f64 (+.f64 x 1) 1)
(+.f64 (*.f64 (*.f64 x x) (*.f64 x -1/6)) x)
(/.f64 (-.f64 (*.f64 x x) 0) (-.f64 x 0))
(*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))
(+.f64 (*.f64 (*.f64 x x) (-.f64 (+.f64 1 (*.f64 x -1/6)) 1)) x)
(log.f64 (+.f64 x x))
(log.f64 (/.f64 -1/2 x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))
(neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x))))
(log.f64 (/.f64 1 (-.f64 (*.f64 x -2) (/.f64 1/2 x))))
(+.f64 (-.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))) 1) x)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
Outputs
(log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))
(+.f64 (*.f64 (*.f64 x x) (*.f64 x -1/6)) x)
(log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))
Calls

3 calls:

26.0ms
x
11.0ms
(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
10.0ms
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
Results
ErrorSegmentsBranch
0.0b3x
7.8b3(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
7.8b3(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
Compiler

Compiled 164 to 112 computations (31.7% saved)

bsearch37.0ms (0.4%)

Algorithm
2×binary-search
Steps
TimeLeftRight
21.0ms
1.7457719864590838e-7
116720.43586971285
15.0ms
-0.04536594463108627
-6.306068515789723e-6
Results
33.0ms288×body256valid
Compiler

Compiled 392 to 270 computations (31.1% saved)

regimes28.0ms (0.3%)

Counts
16 → 3
Calls
Call 1
Inputs
x
(-.f64 (+.f64 x 1) 1)
(+.f64 (*.f64 (*.f64 x x) (*.f64 x -1/6)) x)
(/.f64 (-.f64 (*.f64 x x) 0) (-.f64 x 0))
(*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))
(+.f64 (*.f64 (*.f64 x x) (-.f64 (+.f64 1 (*.f64 x -1/6)) 1)) x)
(log.f64 (+.f64 x x))
(log.f64 (/.f64 -1/2 x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))
(neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x))))
(log.f64 (/.f64 1 (-.f64 (*.f64 x -2) (/.f64 1/2 x))))
(+.f64 (-.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))) 1) x)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
Outputs
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(+.f64 (*.f64 (*.f64 x x) (*.f64 x -1/6)) x)
(log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))
Calls

1 calls:

24.0ms
x
Results
ErrorSegmentsBranch
0.0b3x
Compiler

Compiled 128 to 88 computations (31.3% saved)

bsearch36.0ms (0.4%)

Algorithm
2×binary-search
Steps
TimeLeftRight
20.0ms
1.7457719864590838e-7
116720.43586971285
15.0ms
-0.04536594463108627
-6.306068515789723e-6
Results
31.0ms288×body256valid
Compiler

Compiled 384 to 262 computations (31.8% saved)

regimes26.0ms (0.3%)

Counts
15 → 3
Calls
Call 1
Inputs
x
(-.f64 (+.f64 x 1) 1)
(+.f64 (*.f64 (*.f64 x x) (*.f64 x -1/6)) x)
(/.f64 (-.f64 (*.f64 x x) 0) (-.f64 x 0))
(*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))
(+.f64 (*.f64 (*.f64 x x) (-.f64 (+.f64 1 (*.f64 x -1/6)) 1)) x)
(log.f64 (+.f64 x x))
(log.f64 (/.f64 -1/2 x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))
(neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x))))
(log.f64 (/.f64 1 (-.f64 (*.f64 x -2) (/.f64 1/2 x))))
(+.f64 (-.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))) 1) x)
(log.f64 (+.f64 x (hypot.f64 1 x)))
Outputs
(neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x))))
(+.f64 (*.f64 (*.f64 x x) (*.f64 x -1/6)) x)
(log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))
Calls

1 calls:

22.0ms
x
Results
ErrorSegmentsBranch
0.3b3x
Compiler

Compiled 121 to 83 computations (31.4% saved)

bsearch37.0ms (0.4%)

Algorithm
2×binary-search
Steps
TimeLeftRight
21.0ms
1.7457719864590838e-7
116720.43586971285
16.0ms
-28310.291848213303
-0.6219238277931364
Results
32.0ms288×body256valid
Compiler

Compiled 400 to 278 computations (30.5% saved)

regimes21.0ms (0.2%)

Counts
11 → 3
Calls
Call 1
Inputs
x
(-.f64 (+.f64 x 1) 1)
(+.f64 (*.f64 (*.f64 x x) (*.f64 x -1/6)) x)
(/.f64 (-.f64 (*.f64 x x) 0) (-.f64 x 0))
(*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))
(+.f64 (*.f64 (*.f64 x x) (-.f64 (+.f64 1 (*.f64 x -1/6)) 1)) x)
(log.f64 (+.f64 x x))
(log.f64 (/.f64 -1/2 x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))
Outputs
(log.f64 (/.f64 -1/2 x))
(+.f64 (*.f64 (*.f64 x x) (*.f64 x -1/6)) x)
(log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))
Calls

1 calls:

18.0ms
x
Results
ErrorSegmentsBranch
0.4b3x
Compiler

Compiled 85 to 55 computations (35.3% saved)

bsearch36.0ms (0.4%)

Algorithm
2×binary-search
Steps
TimeLeftRight
19.0ms
1.7457719864590838e-7
116720.43586971285
17.0ms
-28310.291848213303
-0.6219238277931364
Results
32.0ms288×body256valid
Compiler

Compiled 360 to 246 computations (31.7% saved)

regimes20.0ms (0.2%)

Counts
10 → 3
Calls
Call 1
Inputs
x
(-.f64 (+.f64 x 1) 1)
(+.f64 (*.f64 (*.f64 x x) (*.f64 x -1/6)) x)
(/.f64 (-.f64 (*.f64 x x) 0) (-.f64 x 0))
(*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))
(+.f64 (*.f64 (*.f64 x x) (-.f64 (+.f64 1 (*.f64 x -1/6)) 1)) x)
(log.f64 (+.f64 x x))
(log.f64 (/.f64 -1/2 x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
Outputs
(log.f64 (/.f64 -1/2 x))
(+.f64 (*.f64 (*.f64 x x) (*.f64 x -1/6)) x)
(log.f64 (+.f64 x x))
Calls

1 calls:

18.0ms
x
Results
ErrorSegmentsBranch
0.4b3x
Compiler

Compiled 77 to 50 computations (35.1% saved)

bsearch82.0ms (0.9%)

Algorithm
2×binary-search
Steps
TimeLeftRight
67.0ms
1.7457719864590838e-7
116720.43586971285
15.0ms
-28310.291848213303
-0.6219238277931364
Results
78.0ms288×body256valid
Compiler

Compiled 320 to 216 computations (32.5% saved)

regimes106.0ms (1.2%)

Counts
8 → 2
Calls
Call 1
Inputs
x
(-.f64 (+.f64 x 1) 1)
(+.f64 (*.f64 (*.f64 x x) (*.f64 x -1/6)) x)
(/.f64 (-.f64 (*.f64 x x) 0) (-.f64 x 0))
(*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))
(+.f64 (*.f64 (*.f64 x x) (-.f64 (+.f64 1 (*.f64 x -1/6)) 1)) x)
(log.f64 (+.f64 x x))
Outputs
x
(log.f64 (+.f64 x x))
Calls

1 calls:

104.0ms
x
Results
ErrorSegmentsBranch
15.2b2x
Compiler

Compiled 66 to 42 computations (36.4% saved)

bsearch60.0ms (0.7%)

Algorithm
1×binary-search
Steps
TimeLeftRight
60.0ms
1.7457719864590838e-7
116720.43586971285
Results
58.0ms160×body256valid
Compiler

Compiled 104 to 70 computations (32.7% saved)

regimes7.0ms (0.1%)

Accuracy

Total -32.4b remaining (-111.5%)

Threshold costs -32.4b (-111.5%)

Counts
7 → 1
Calls
Call 1
Inputs
x
(-.f64 (+.f64 x 1) 1)
(+.f64 (*.f64 (*.f64 x x) (*.f64 x -1/6)) x)
(/.f64 (-.f64 (*.f64 x x) 0) (-.f64 x 0))
(*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))
(+.f64 (*.f64 (*.f64 x x) (-.f64 (+.f64 1 (*.f64 x -1/6)) 1)) x)
Outputs
x
Calls

1 calls:

5.0ms
x
Results
ErrorSegmentsBranch
29.0b1x
Compiler

Compiled 62 to 40 computations (35.5% saved)

simplify34.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
22×+-commutative
16×sub-neg
14×*-commutative
8×neg-mul-1
8×neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057528
177528
291528
397528
499528
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 x -4842270319348757/4611686018427387904) (-.f64 (-.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1) (if (<=.f64 x 4278419646001971/4503599627370496) (+.f64 (*.f64 (*.f64 x x) (*.f64 x -1/6)) x) (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))))
(if (<=.f64 x -5072854620270127/4611686018427387904) (log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))) (if (<=.f64 x 4278419646001971/4503599627370496) (+.f64 (*.f64 (*.f64 x x) (*.f64 x -1/6)) x) (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))))
(if (<=.f64 x -5072854620270127/4611686018427387904) (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (if (<=.f64 x 4278419646001971/4503599627370496) (+.f64 (*.f64 (*.f64 x x) (*.f64 x -1/6)) x) (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))))
(if (<=.f64 x -1080863910568919/1125899906842624) (neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))) (if (<=.f64 x 4278419646001971/4503599627370496) (+.f64 (*.f64 (*.f64 x x) (*.f64 x -1/6)) x) (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))))
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 4278419646001971/4503599627370496) (+.f64 (*.f64 (*.f64 x x) (*.f64 x -1/6)) x) (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))))
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5/4) (+.f64 (*.f64 (*.f64 x x) (*.f64 x -1/6)) x) (log.f64 (+.f64 x x))))
(if (<=.f64 x 5/4) x (log.f64 (+.f64 x x)))
x
Outputs
(if (<=.f64 x -4842270319348757/4611686018427387904) (-.f64 (-.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1) (if (<=.f64 x 4278419646001971/4503599627370496) (+.f64 (*.f64 (*.f64 x x) (*.f64 x -1/6)) x) (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))))
(if (<=.f64 x -4842270319348757/4611686018427387904) (+.f64 (-.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) -1) (if (<=.f64 x 4278419646001971/4503599627370496) (+.f64 x (*.f64 (*.f64 x x) (*.f64 x -1/6))) (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))))
(if (<=.f64 x -5072854620270127/4611686018427387904) (log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))) (if (<=.f64 x 4278419646001971/4503599627370496) (+.f64 (*.f64 (*.f64 x x) (*.f64 x -1/6)) x) (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))))
(if (<=.f64 x -5072854620270127/4611686018427387904) (log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))) (if (<=.f64 x 4278419646001971/4503599627370496) (+.f64 x (*.f64 (*.f64 x x) (*.f64 x -1/6))) (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))))
(if (<=.f64 x -5072854620270127/4611686018427387904) (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (if (<=.f64 x 4278419646001971/4503599627370496) (+.f64 (*.f64 (*.f64 x x) (*.f64 x -1/6)) x) (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))))
(if (<=.f64 x -5072854620270127/4611686018427387904) (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (if (<=.f64 x 4278419646001971/4503599627370496) (+.f64 x (*.f64 (*.f64 x x) (*.f64 x -1/6))) (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))))
(if (<=.f64 x -1080863910568919/1125899906842624) (neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))) (if (<=.f64 x 4278419646001971/4503599627370496) (+.f64 (*.f64 (*.f64 x x) (*.f64 x -1/6)) x) (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))))
(if (<=.f64 x -1080863910568919/1125899906842624) (neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))) (if (<=.f64 x 4278419646001971/4503599627370496) (+.f64 x (*.f64 (*.f64 x x) (*.f64 x -1/6))) (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))))
(if (<=.f64 x -1080863910568919/1125899906842624) (neg.f64 (log.f64 (+.f64 (*.f64 x -2) (/.f64 -1/2 x)))) (if (<=.f64 x 4278419646001971/4503599627370496) (+.f64 x (*.f64 (*.f64 x x) (*.f64 x -1/6))) (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))))
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 4278419646001971/4503599627370496) (+.f64 (*.f64 (*.f64 x x) (*.f64 x -1/6)) x) (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))))
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 4278419646001971/4503599627370496) (+.f64 x (*.f64 (*.f64 x x) (*.f64 x -1/6))) (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))))
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5/4) (+.f64 (*.f64 (*.f64 x x) (*.f64 x -1/6)) x) (log.f64 (+.f64 x x))))
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5/4) (+.f64 x (*.f64 (*.f64 x x) (*.f64 x -1/6))) (log.f64 (+.f64 x x))))
(if (<=.f64 x 5/4) x (log.f64 (+.f64 x x)))
x
Compiler

Compiled 206 to 138 computations (33% saved)

soundness270.0ms (3%)

Algorithm
2×egg-herbie
Rules
1152×associate-*r/
1152×associate-*r/
1016×+-commutative
1016×+-commutative
926×associate-+l+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
04877260
112746624
249666624
04877260
112746624
249666624
Stop Event
1×node limit
1×node limit
Compiler

Compiled 221 to 166 computations (24.9% saved)

end93.0ms (1%)

Compiler

Compiled 199 to 124 computations (37.7% saved)

Profiling

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