Details

Time bar (total: 9.6s)

analyze91.0ms (0.9%)

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)

sample2.8s (28.6%)

Results
1.3s2651×body1024valid
589.0ms1228×body2048valid
411.0ms3057×body256valid
384.0ms1284×body512valid
24.0ms36×body4096valid
Bogosity

preprocess4.0ms (0%)

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)

simplify13.0ms (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

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New213
Fresh101
Picked000
Done000
Total314
Error
68.55%
Counts
4 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶68.55%
(log.f64 (+.f64 x (hypot.f64 1 x)))
Compiler

Compiled 7 to 5 computations (28.6% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓1.45%
(+.f64 x (hypot.f64 1 x))
✓3.94%
(log.f64 (+.f64 x (hypot.f64 1 x)))
Compiler

Compiled 17 to 11 computations (35.3% saved)

series3.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite63.0ms (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))))))

simplify79.0ms (0.8%)

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))

eval38.0ms (0.4%)

Compiler

Compiled 1894 to 1401 computations (26% saved)

prune23.0ms (0.2%)

Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New1289137
Fresh000
Picked011
Done000
Total12810138
Error
0.01%
Counts
138 → 10
Alt Table
Click to see full alt table
StatusErrorProgram
70.52%
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)
▶86.66%
(-.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)))))
▶50.53%
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x))
▶51.08%
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
▶69.22%
(log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))
74.74%
(log.f64 (/.f64 -1/2 x))
73.1%
(log.f64 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))))
✓68.55%
(log.f64 (+.f64 x (hypot.f64 1 x)))
▶74.05%
(log.f64 (+.f64 x x))
49%
x
Compiler

Compiled 183 to 138 computations (24.6% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.01%
(+.f64 (*.f64 3/40 (pow.f64 x 5)) x)
✓0.09%
(*.f64 3/40 (pow.f64 x 5))
✓0.18%
(*.f64 -1/6 (pow.f64 x 3))
✓29.17%
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x))
Compiler

Compiled 42 to 32 computations (23.8% saved)

series3.0ms (0%)

Counts
4 → 9
Calls

12 calls:

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

rewrite109.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
1170×associate-*r/
1000×distribute-rgt-in
966×distribute-lft-in
838×associate-*l/
296×add-sqr-sqrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01370
130070
2376170
Stop Event
1×node limit
Counts
4 → 203
Calls
Call 1
Inputs
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 3/40 (pow.f64 x 5))
(+.f64 (*.f64 3/40 (pow.f64 x 5)) x)
Outputs
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(2) ((x -.f64 (+.f64 (*.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) 1) (exp.f64 (log1p.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))) (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))) (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))) 2) (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 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3))))))) (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 (fma.f64 3/40 (pow.f64 x 5) x) (-.f64 (fma.f64 3/40 (pow.f64 x 5) x) (*.f64 -1/6 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3)) (+.f64 (pow.f64 (*.f64 (pow.f64 x 6) 1/36) 3) (pow.f64 (*.f64 (fma.f64 3/40 (pow.f64 x 5) x) (-.f64 (fma.f64 3/40 (pow.f64 x 5) x) (*.f64 -1/6 (pow.f64 x 3)))) 3))) (+.f64 (*.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 (pow.f64 x 6) 1/36)) (-.f64 (*.f64 (*.f64 (fma.f64 3/40 (pow.f64 x 5) x) (-.f64 (fma.f64 3/40 (pow.f64 x 5) x) (*.f64 -1/6 (pow.f64 x 3)))) (*.f64 (fma.f64 3/40 (pow.f64 x 5) x) (-.f64 (fma.f64 3/40 (pow.f64 x 5) x) (*.f64 -1/6 (pow.f64 x 3))))) (*.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 (fma.f64 3/40 (pow.f64 x 5) x) (-.f64 (fma.f64 3/40 (pow.f64 x 5) x) (*.f64 -1/6 (pow.f64 x 3))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 3/40 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 3/40 (pow.f64 x 5)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 3/40) (pow.f64 x 5/2)) (*.f64 (sqrt.f64 3/40) (pow.f64 x 5/2)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 3/40 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 9/1600 (pow.f64 x 10))) (cbrt.f64 (*.f64 3/40 (pow.f64 x 5))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 3/40 (pow.f64 x 5)))))))

simplify225.0ms (2.3%)

Algorithm
1×egg-herbie
Rules
1158×+-commutative
782×associate-*r*
778×associate-/l*
688×associate-*l*
586×fma-def
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
052214238
1151013300
2767013300
Stop Event
1×node limit
Counts
212 → 295
Calls
Call 1
Inputs
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(*.f64 3/40 (pow.f64 x 5))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5)))
(*.f64 3/40 (pow.f64 x 5))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5)))
x
(*.f64 3/40 (pow.f64 x 5))
(*.f64 3/40 (pow.f64 x 5))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)))) 1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3)))) (-.f64 1 (fma.f64 3/40 (pow.f64 x 5) x)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 3/40 (pow.f64 x 5) x))) (-.f64 1 (*.f64 -1/6 (pow.f64 x 3))))
(-.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 3/40 (pow.f64 x 5)))) (-.f64 1 (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))))
(-.f64 (/.f64 (*.f64 (pow.f64 x 6) 1/36) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) (fma.f64 3/40 (pow.f64 x 5) x))) (/.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) (fma.f64 3/40 (pow.f64 x 5) x))))
(-.f64 (/.f64 (*.f64 9/1600 (pow.f64 x 10)) (-.f64 (*.f64 3/40 (pow.f64 x 5)) x)) (-.f64 (/.f64 x (/.f64 (-.f64 (*.f64 3/40 (pow.f64 x 5)) x) x)) (*.f64 -1/6 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (exp.f64 (log1p.f64 (fma.f64 3/40 (pow.f64 x 5) x)))) 1)
(-.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (/.f64 (*.f64 9/1600 (pow.f64 x 10)) (-.f64 (*.f64 3/40 (pow.f64 x 5)) x))) (/.f64 x (/.f64 (-.f64 (*.f64 3/40 (pow.f64 x 5)) x) x)))
(-.f64 (+.f64 (fma.f64 3/40 (pow.f64 x 5) x) (exp.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3))))) 1)
(-.f64 (+.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) (exp.f64 (log1p.f64 x))) 1)
(-.f64 (+.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (exp.f64 (log1p.f64 (*.f64 3/40 (pow.f64 x 5))))) 1)
(-.f64 (+.f64 (*.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) 1) (exp.f64 (log1p.f64 x))) 1)
(*.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)) 1)
(*.f64 1 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)))
(*.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))) (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))))
(*.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))) (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))) 2) (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))))
(*.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2)) (/.f64 1 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) (fma.f64 3/40 (pow.f64 x 5) x))))
(*.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3)) (/.f64 1 (+.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 (fma.f64 3/40 (pow.f64 x 5) x) (-.f64 (fma.f64 3/40 (pow.f64 x 5) x) (*.f64 -1/6 (pow.f64 x 3)))))))
(*.f64 (/.f64 1 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) (fma.f64 3/40 (pow.f64 x 5) x))) (-.f64 (*.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2)))
(*.f64 (/.f64 1 (+.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 (fma.f64 3/40 (pow.f64 x 5) x) (-.f64 (fma.f64 3/40 (pow.f64 x 5) x) (*.f64 -1/6 (pow.f64 x 3)))))) (+.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3)))
(*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2)) (-.f64 (*.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2))) (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)))
(*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2)) (-.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3))) (+.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 (fma.f64 3/40 (pow.f64 x 5) x) (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)))))
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(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 3/40 (pow.f64 x 5)) 3))) (sqrt.f64 (fma.f64 3/40 (pow.f64 x 5) x))) (sqrt.f64 (+.f64 (*.f64 9/1600 (pow.f64 x 10)) (*.f64 x (-.f64 x (*.f64 3/40 (pow.f64 x 5)))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 9/1600 (pow.f64 x 10)) (*.f64 x x))) (pow.f64 (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)) 2)) (cbrt.f64 (-.f64 (*.f64 3/40 (pow.f64 x 5)) x)))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 3/40 (pow.f64 x 5)) 3))) (pow.f64 (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)) 2)) (cbrt.f64 (+.f64 (*.f64 9/1600 (pow.f64 x 10)) (*.f64 x (-.f64 x (*.f64 3/40 (pow.f64 x 5)))))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 9/1600 (pow.f64 x 10)) (*.f64 9/1600 (pow.f64 x 10))) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 1 (-.f64 (*.f64 3/40 (pow.f64 x 5)) x))) (+.f64 (*.f64 9/1600 (pow.f64 x 10)) (*.f64 x x)))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 9/1600 (pow.f64 x 10)) 3) (pow.f64 x 6)) (/.f64 1 (-.f64 (*.f64 3/40 (pow.f64 x 5)) x))) (+.f64 (+.f64 (*.f64 (*.f64 9/1600 (pow.f64 x 10)) (*.f64 9/1600 (pow.f64 x 10))) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 9/1600 (pow.f64 x 10)) (*.f64 x x))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (*.f64 3/40 (pow.f64 x 5)) 3) (pow.f64 (*.f64 3/40 (pow.f64 x 5)) 3)) (pow.f64 x 6)) (/.f64 1 (+.f64 (*.f64 9/1600 (pow.f64 x 10)) (*.f64 x (-.f64 x (*.f64 3/40 (pow.f64 x 5))))))) (-.f64 (pow.f64 (*.f64 3/40 (pow.f64 x 5)) 3) (pow.f64 x 3)))
(/.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (*.f64 3/40 (pow.f64 x 5)) 3) 3)) (/.f64 1 (+.f64 (*.f64 9/1600 (pow.f64 x 10)) (*.f64 x (-.f64 x (*.f64 3/40 (pow.f64 x 5))))))) (+.f64 (*.f64 (pow.f64 (*.f64 3/40 (pow.f64 x 5)) 3) (pow.f64 (*.f64 3/40 (pow.f64 x 5)) 3)) (-.f64 (pow.f64 x 6) (*.f64 (pow.f64 (*.f64 3/40 (pow.f64 x 5)) 3) (pow.f64 x 3)))))
(/.f64 (/.f64 (-.f64 (*.f64 9/1600 (pow.f64 x 10)) (*.f64 x x)) 1) (-.f64 (*.f64 3/40 (pow.f64 x 5)) x))
(/.f64 (/.f64 (-.f64 (*.f64 9/1600 (pow.f64 x 10)) (*.f64 x x)) (sqrt.f64 (-.f64 (*.f64 3/40 (pow.f64 x 5)) x))) (sqrt.f64 (-.f64 (*.f64 3/40 (pow.f64 x 5)) x)))
(/.f64 (/.f64 (-.f64 (*.f64 9/1600 (pow.f64 x 10)) (*.f64 x x)) (*.f64 (cbrt.f64 (-.f64 (*.f64 3/40 (pow.f64 x 5)) x)) (cbrt.f64 (-.f64 (*.f64 3/40 (pow.f64 x 5)) x)))) (cbrt.f64 (-.f64 (*.f64 3/40 (pow.f64 x 5)) x)))
(/.f64 (/.f64 (-.f64 (*.f64 9/1600 (pow.f64 x 10)) (*.f64 x x)) (+.f64 (*.f64 (sqrt.f64 3/40) (pow.f64 x 5/2)) (sqrt.f64 x))) (-.f64 (*.f64 (sqrt.f64 3/40) (pow.f64 x 5/2)) (sqrt.f64 x)))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 3/40 (pow.f64 x 5)) 3)) 1) (+.f64 (*.f64 9/1600 (pow.f64 x 10)) (*.f64 x (-.f64 x (*.f64 3/40 (pow.f64 x 5))))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 3/40 (pow.f64 x 5)) 3)) (sqrt.f64 (+.f64 (*.f64 9/1600 (pow.f64 x 10)) (*.f64 x (-.f64 x (*.f64 3/40 (pow.f64 x 5))))))) (sqrt.f64 (+.f64 (*.f64 9/1600 (pow.f64 x 10)) (*.f64 x (-.f64 x (*.f64 3/40 (pow.f64 x 5)))))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 3/40 (pow.f64 x 5)) 3)) (*.f64 (cbrt.f64 (+.f64 (*.f64 9/1600 (pow.f64 x 10)) (*.f64 x (-.f64 x (*.f64 3/40 (pow.f64 x 5)))))) (cbrt.f64 (+.f64 (*.f64 9/1600 (pow.f64 x 10)) (*.f64 x (-.f64 x (*.f64 3/40 (pow.f64 x 5)))))))) (cbrt.f64 (+.f64 (*.f64 9/1600 (pow.f64 x 10)) (*.f64 x (-.f64 x (*.f64 3/40 (pow.f64 x 5)))))))
(pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 1)
(pow.f64 (sqrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)) 2)
(pow.f64 (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)) 3)
(pow.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2))
(log.f64 (exp.f64 (fma.f64 3/40 (pow.f64 x 5) x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 3/40 (pow.f64 x 5) x))))
(cbrt.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3))
(expm1.f64 (log1p.f64 (fma.f64 3/40 (pow.f64 x 5) x)))
(exp.f64 (log.f64 (fma.f64 3/40 (pow.f64 x 5) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 3/40 (pow.f64 x 5) x)) 1))
(log1p.f64 (expm1.f64 (fma.f64 3/40 (pow.f64 x 5) x)))
(fma.f64 3/40 (pow.f64 x 5) x)
(fma.f64 (pow.f64 x 5) 3/40 x)
(fma.f64 1 x (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 1 (*.f64 3/40 (pow.f64 x 5)) x)
(fma.f64 (*.f64 (sqrt.f64 3/40) (pow.f64 x 5/2)) (*.f64 (sqrt.f64 3/40) (pow.f64 x 5/2)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 (cbrt.f64 (*.f64 9/1600 (pow.f64 x 10))) (cbrt.f64 (*.f64 3/40 (pow.f64 x 5))) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 3/40 (pow.f64 x 5)))
Outputs
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(*.f64 3/40 (pow.f64 x 5))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))
(*.f64 3/40 (pow.f64 x 5))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))
x
(*.f64 3/40 (pow.f64 x 5))
(*.f64 3/40 (pow.f64 x 5))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)))) 1)
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3)))) (-.f64 1 (fma.f64 3/40 (pow.f64 x 5) x)))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 3/40 (pow.f64 x 5) x))) (-.f64 1 (*.f64 -1/6 (pow.f64 x 3))))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(-.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))))
(+.f64 (-.f64 (exp.f64 (log1p.f64 x)) 1) (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))))
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) (expm1.f64 (log1p.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 3/40 (pow.f64 x 5)))) (-.f64 1 (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(-.f64 (/.f64 (*.f64 (pow.f64 x 6) 1/36) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) (fma.f64 3/40 (pow.f64 x 5) x))) (/.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) (fma.f64 3/40 (pow.f64 x 5) x))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2)) (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 (fma.f64 3/40 (pow.f64 x 5) x))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2)) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) (fma.f64 3/40 (pow.f64 x 5) x)))
(-.f64 (/.f64 (*.f64 9/1600 (pow.f64 x 10)) (-.f64 (*.f64 3/40 (pow.f64 x 5)) x)) (-.f64 (/.f64 x (/.f64 (-.f64 (*.f64 3/40 (pow.f64 x 5)) x) x)) (*.f64 -1/6 (pow.f64 x 3))))
(+.f64 (-.f64 (/.f64 9/1600 (/.f64 (-.f64 (*.f64 3/40 (pow.f64 x 5)) x) (pow.f64 x 10))) (*.f64 (/.f64 x (-.f64 (*.f64 3/40 (pow.f64 x 5)) x)) x)) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 -1/6 (pow.f64 x 3) (/.f64 (fma.f64 x x (*.f64 (pow.f64 x 10) -9/1600)) (+.f64 x (*.f64 (pow.f64 x 5) -3/40))))
(-.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (exp.f64 (log1p.f64 (fma.f64 3/40 (pow.f64 x 5) x)))) 1)
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(-.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (/.f64 (*.f64 9/1600 (pow.f64 x 10)) (-.f64 (*.f64 3/40 (pow.f64 x 5)) x))) (/.f64 x (/.f64 (-.f64 (*.f64 3/40 (pow.f64 x 5)) x) x)))
(+.f64 (-.f64 (/.f64 9/1600 (/.f64 (-.f64 (*.f64 3/40 (pow.f64 x 5)) x) (pow.f64 x 10))) (*.f64 (/.f64 x (-.f64 (*.f64 3/40 (pow.f64 x 5)) x)) x)) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 -1/6 (pow.f64 x 3) (/.f64 (fma.f64 x x (*.f64 (pow.f64 x 10) -9/1600)) (+.f64 x (*.f64 (pow.f64 x 5) -3/40))))
(-.f64 (+.f64 (fma.f64 3/40 (pow.f64 x 5) x) (exp.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3))))) 1)
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(-.f64 (+.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) (exp.f64 (log1p.f64 x))) 1)
(+.f64 (-.f64 (exp.f64 (log1p.f64 x)) 1) (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))))
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) (expm1.f64 (log1p.f64 x)))
(-.f64 (+.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (exp.f64 (log1p.f64 (*.f64 3/40 (pow.f64 x 5))))) 1)
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(-.f64 (+.f64 (*.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) 1) (exp.f64 (log1p.f64 x))) 1)
(+.f64 (-.f64 (exp.f64 (log1p.f64 x)) 1) (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))))
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) (expm1.f64 (log1p.f64 x)))
(*.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)) 1)
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(*.f64 1 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(*.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))) (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(*.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))) (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))) 2))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))) 2) (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(*.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2)) (/.f64 1 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) (fma.f64 3/40 (pow.f64 x 5) x))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2)) (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 (fma.f64 3/40 (pow.f64 x 5) x))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2)) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) (fma.f64 3/40 (pow.f64 x 5) x)))
(*.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3)) (/.f64 1 (+.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 (fma.f64 3/40 (pow.f64 x 5) x) (-.f64 (fma.f64 3/40 (pow.f64 x 5) x) (*.f64 -1/6 (pow.f64 x 3)))))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) -1/216 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3)) (fma.f64 (pow.f64 x 6) 1/36 (*.f64 (fma.f64 3/40 (pow.f64 x 5) x) (+.f64 (fma.f64 3/40 (pow.f64 x 5) x) (*.f64 1/6 (pow.f64 x 3))))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) -1/216 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3)) (fma.f64 (fma.f64 3/40 (pow.f64 x 5) x) (+.f64 (fma.f64 3/40 (pow.f64 x 5) x) (*.f64 (pow.f64 x 3) 1/6)) (*.f64 (pow.f64 x 6) 1/36)))
(*.f64 (/.f64 1 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) (fma.f64 3/40 (pow.f64 x 5) x))) (-.f64 (*.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2)))
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2)) (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 (fma.f64 3/40 (pow.f64 x 5) x))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2)) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) (fma.f64 3/40 (pow.f64 x 5) x)))
(*.f64 (/.f64 1 (+.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 (fma.f64 3/40 (pow.f64 x 5) x) (-.f64 (fma.f64 3/40 (pow.f64 x 5) x) (*.f64 -1/6 (pow.f64 x 3)))))) (+.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3)))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) -1/216 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3)) (fma.f64 (pow.f64 x 6) 1/36 (*.f64 (fma.f64 3/40 (pow.f64 x 5) x) (+.f64 (fma.f64 3/40 (pow.f64 x 5) x) (*.f64 1/6 (pow.f64 x 3))))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) -1/216 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3)) (fma.f64 (fma.f64 3/40 (pow.f64 x 5) x) (+.f64 (fma.f64 3/40 (pow.f64 x 5) x) (*.f64 (pow.f64 x 3) 1/6)) (*.f64 (pow.f64 x 6) 1/36)))
(*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2)) (-.f64 (*.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2))) (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2)) (-.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3))) (+.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 (fma.f64 3/40 (pow.f64 x 5) x) (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)))))
(*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2)) (-.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3))) (fma.f64 (pow.f64 x 6) 1/36 (*.f64 (fma.f64 3/40 (pow.f64 x 5) x) (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2)) (fma.f64 (fma.f64 3/40 (pow.f64 x 5) x) (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)) (*.f64 (pow.f64 x 6) 1/36))) (-.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3)))
(*.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3)) (-.f64 (*.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 (pow.f64 x 6) 1/36)) (*.f64 (*.f64 (fma.f64 3/40 (pow.f64 x 5) x) (-.f64 (fma.f64 3/40 (pow.f64 x 5) x) (*.f64 -1/6 (pow.f64 x 3)))) (*.f64 (fma.f64 3/40 (pow.f64 x 5) x) (-.f64 (fma.f64 3/40 (pow.f64 x 5) x) (*.f64 -1/6 (pow.f64 x 3))))))) (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 (fma.f64 3/40 (pow.f64 x 5) x) (-.f64 (fma.f64 3/40 (pow.f64 x 5) x) (*.f64 -1/6 (pow.f64 x 3))))))
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(/.f64 (sqrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)) (/.f64 (sqrt.f64 (fma.f64 x (+.f64 x (*.f64 (pow.f64 x 5) -3/40)) (*.f64 9/1600 (pow.f64 x 10)))) (sqrt.f64 (fma.f64 27/64000 (pow.f64 (pow.f64 x 5) 3) (pow.f64 x 3)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 9/1600 (pow.f64 x 10)) (*.f64 x x))) (pow.f64 (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)) 2)) (cbrt.f64 (-.f64 (*.f64 3/40 (pow.f64 x 5)) x)))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)) 2) (/.f64 (cbrt.f64 (-.f64 (*.f64 3/40 (pow.f64 x 5)) x)) (cbrt.f64 (-.f64 (*.f64 9/1600 (pow.f64 x 10)) (*.f64 x x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)) 2) (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) (neg.f64 x)))) (cbrt.f64 (fma.f64 9/1600 (pow.f64 x 10) (neg.f64 (*.f64 x x)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 3/40 (pow.f64 x 5)) 3))) (pow.f64 (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)) 2)) (cbrt.f64 (+.f64 (*.f64 9/1600 (pow.f64 x 10)) (*.f64 x (-.f64 x (*.f64 3/40 (pow.f64 x 5)))))))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)) 2) (/.f64 (cbrt.f64 (fma.f64 9/1600 (pow.f64 x 10) (*.f64 x (+.f64 x (*.f64 -3/40 (pow.f64 x 5)))))) (cbrt.f64 (+.f64 (pow.f64 x 3) (*.f64 27/64000 (pow.f64 (pow.f64 x 5) 3))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)) 2) (cbrt.f64 (fma.f64 x (+.f64 x (*.f64 (pow.f64 x 5) -3/40)) (*.f64 9/1600 (pow.f64 x 10))))) (cbrt.f64 (fma.f64 27/64000 (pow.f64 (pow.f64 x 5) 3) (pow.f64 x 3))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 9/1600 (pow.f64 x 10)) (*.f64 9/1600 (pow.f64 x 10))) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 1 (-.f64 (*.f64 3/40 (pow.f64 x 5)) x))) (+.f64 (*.f64 9/1600 (pow.f64 x 10)) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 81/2560000 (*.f64 (pow.f64 x 10) (pow.f64 x 10))) (*.f64 x (pow.f64 x 3))) (*.f64 (-.f64 (*.f64 3/40 (pow.f64 x 5)) x) (fma.f64 9/1600 (pow.f64 x 10) (*.f64 x x))))
(/.f64 (-.f64 (*.f64 81/2560000 (pow.f64 x 20)) (pow.f64 x 4)) (*.f64 (fma.f64 3/40 (pow.f64 x 5) (neg.f64 x)) (fma.f64 9/1600 (pow.f64 x 10) (*.f64 x x))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 9/1600 (pow.f64 x 10)) 3) (pow.f64 x 6)) (/.f64 1 (-.f64 (*.f64 3/40 (pow.f64 x 5)) x))) (+.f64 (+.f64 (*.f64 (*.f64 9/1600 (pow.f64 x 10)) (*.f64 9/1600 (pow.f64 x 10))) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 9/1600 (pow.f64 x 10)) (*.f64 x x))))
(/.f64 (/.f64 (-.f64 (*.f64 729/4096000000 (pow.f64 (pow.f64 x 10) 3)) (pow.f64 x 6)) (-.f64 (*.f64 3/40 (pow.f64 x 5)) x)) (+.f64 (*.f64 81/2560000 (*.f64 (pow.f64 x 10) (pow.f64 x 10))) (+.f64 (*.f64 x (pow.f64 x 3)) (*.f64 9/1600 (*.f64 (pow.f64 x 10) (*.f64 x x))))))
(/.f64 (fma.f64 729/4096000000 (pow.f64 (pow.f64 x 10) 3) (neg.f64 (pow.f64 x 6))) (*.f64 (fma.f64 3/40 (pow.f64 x 5) (neg.f64 x)) (fma.f64 9/1600 (*.f64 (pow.f64 x 10) (*.f64 x x)) (fma.f64 81/2560000 (pow.f64 x 20) (pow.f64 x 4)))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (*.f64 3/40 (pow.f64 x 5)) 3) (pow.f64 (*.f64 3/40 (pow.f64 x 5)) 3)) (pow.f64 x 6)) (/.f64 1 (+.f64 (*.f64 9/1600 (pow.f64 x 10)) (*.f64 x (-.f64 x (*.f64 3/40 (pow.f64 x 5))))))) (-.f64 (pow.f64 (*.f64 3/40 (pow.f64 x 5)) 3) (pow.f64 x 3)))
(/.f64 (-.f64 (pow.f64 (*.f64 3/40 (pow.f64 x 5)) 6) (pow.f64 x 6)) (*.f64 (fma.f64 9/1600 (pow.f64 x 10) (*.f64 x (+.f64 x (*.f64 -3/40 (pow.f64 x 5))))) (-.f64 (*.f64 27/64000 (pow.f64 (pow.f64 x 5) 3)) (pow.f64 x 3))))
(/.f64 (fma.f64 729/4096000000 (pow.f64 (pow.f64 x 10) 3) (neg.f64 (pow.f64 x 6))) (*.f64 (fma.f64 x (+.f64 x (*.f64 (pow.f64 x 5) -3/40)) (*.f64 9/1600 (pow.f64 x 10))) (-.f64 (*.f64 27/64000 (pow.f64 (pow.f64 x 5) 3)) (pow.f64 x 3))))
(/.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (*.f64 3/40 (pow.f64 x 5)) 3) 3)) (/.f64 1 (+.f64 (*.f64 9/1600 (pow.f64 x 10)) (*.f64 x (-.f64 x (*.f64 3/40 (pow.f64 x 5))))))) (+.f64 (*.f64 (pow.f64 (*.f64 3/40 (pow.f64 x 5)) 3) (pow.f64 (*.f64 3/40 (pow.f64 x 5)) 3)) (-.f64 (pow.f64 x 6) (*.f64 (pow.f64 (*.f64 3/40 (pow.f64 x 5)) 3) (pow.f64 x 3)))))
(/.f64 (+.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (*.f64 27/64000 (pow.f64 (pow.f64 x 5) 3)) 3)) (*.f64 (fma.f64 9/1600 (pow.f64 x 10) (*.f64 x (+.f64 x (*.f64 -3/40 (pow.f64 x 5))))) (-.f64 (+.f64 (pow.f64 (*.f64 3/40 (pow.f64 x 5)) 6) (pow.f64 x 6)) (*.f64 (pow.f64 x 3) (*.f64 27/64000 (pow.f64 (pow.f64 x 5) 3))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 x 3) 3) (*.f64 19683/262144000000000 (pow.f64 (pow.f64 (pow.f64 x 5) 3) 3))) (+.f64 (*.f64 729/4096000000 (pow.f64 (pow.f64 x 10) 3)) (*.f64 (pow.f64 x 3) (+.f64 (pow.f64 x 3) (*.f64 -27/64000 (pow.f64 (pow.f64 x 5) 3)))))) (fma.f64 x (+.f64 x (*.f64 (pow.f64 x 5) -3/40)) (*.f64 9/1600 (pow.f64 x 10))))
(/.f64 (/.f64 (-.f64 (*.f64 9/1600 (pow.f64 x 10)) (*.f64 x x)) 1) (-.f64 (*.f64 3/40 (pow.f64 x 5)) x))
(-.f64 (/.f64 9/1600 (/.f64 (-.f64 (*.f64 3/40 (pow.f64 x 5)) x) (pow.f64 x 10))) (*.f64 (/.f64 x (-.f64 (*.f64 3/40 (pow.f64 x 5)) x)) x))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 x 10) -9/1600)) (+.f64 x (*.f64 (pow.f64 x 5) -3/40)))
(/.f64 (/.f64 (-.f64 (*.f64 9/1600 (pow.f64 x 10)) (*.f64 x x)) (sqrt.f64 (-.f64 (*.f64 3/40 (pow.f64 x 5)) x))) (sqrt.f64 (-.f64 (*.f64 3/40 (pow.f64 x 5)) x)))
(-.f64 (/.f64 9/1600 (/.f64 (-.f64 (*.f64 3/40 (pow.f64 x 5)) x) (pow.f64 x 10))) (*.f64 (/.f64 x (-.f64 (*.f64 3/40 (pow.f64 x 5)) x)) x))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 x 10) -9/1600)) (+.f64 x (*.f64 (pow.f64 x 5) -3/40)))
(/.f64 (/.f64 (-.f64 (*.f64 9/1600 (pow.f64 x 10)) (*.f64 x x)) (*.f64 (cbrt.f64 (-.f64 (*.f64 3/40 (pow.f64 x 5)) x)) (cbrt.f64 (-.f64 (*.f64 3/40 (pow.f64 x 5)) x)))) (cbrt.f64 (-.f64 (*.f64 3/40 (pow.f64 x 5)) x)))
(-.f64 (/.f64 9/1600 (/.f64 (-.f64 (*.f64 3/40 (pow.f64 x 5)) x) (pow.f64 x 10))) (*.f64 (/.f64 x (-.f64 (*.f64 3/40 (pow.f64 x 5)) x)) x))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 x 10) -9/1600)) (+.f64 x (*.f64 (pow.f64 x 5) -3/40)))
(/.f64 (/.f64 (-.f64 (*.f64 9/1600 (pow.f64 x 10)) (*.f64 x x)) (+.f64 (*.f64 (sqrt.f64 3/40) (pow.f64 x 5/2)) (sqrt.f64 x))) (-.f64 (*.f64 (sqrt.f64 3/40) (pow.f64 x 5/2)) (sqrt.f64 x)))
(/.f64 (-.f64 (*.f64 9/1600 (pow.f64 x 10)) (*.f64 x x)) (*.f64 (fma.f64 (sqrt.f64 3/40) (pow.f64 x 5/2) (neg.f64 (sqrt.f64 x))) (fma.f64 (sqrt.f64 3/40) (pow.f64 x 5/2) (sqrt.f64 x))))
(/.f64 (fma.f64 9/1600 (pow.f64 x 10) (neg.f64 (*.f64 x x))) (*.f64 (fma.f64 (sqrt.f64 3/40) (pow.f64 x 5/2) (sqrt.f64 x)) (-.f64 (*.f64 (sqrt.f64 3/40) (pow.f64 x 5/2)) (sqrt.f64 x))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 3/40 (pow.f64 x 5)) 3)) 1) (+.f64 (*.f64 9/1600 (pow.f64 x 10)) (*.f64 x (-.f64 x (*.f64 3/40 (pow.f64 x 5))))))
(/.f64 (+.f64 (pow.f64 x 3) (*.f64 27/64000 (pow.f64 (pow.f64 x 5) 3))) (fma.f64 9/1600 (pow.f64 x 10) (*.f64 x (+.f64 x (*.f64 -3/40 (pow.f64 x 5))))))
(/.f64 (fma.f64 27/64000 (pow.f64 (pow.f64 x 5) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (*.f64 (pow.f64 x 5) -3/40)) (*.f64 9/1600 (pow.f64 x 10))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 3/40 (pow.f64 x 5)) 3)) (sqrt.f64 (+.f64 (*.f64 9/1600 (pow.f64 x 10)) (*.f64 x (-.f64 x (*.f64 3/40 (pow.f64 x 5))))))) (sqrt.f64 (+.f64 (*.f64 9/1600 (pow.f64 x 10)) (*.f64 x (-.f64 x (*.f64 3/40 (pow.f64 x 5)))))))
(/.f64 (+.f64 (pow.f64 x 3) (*.f64 27/64000 (pow.f64 (pow.f64 x 5) 3))) (fma.f64 9/1600 (pow.f64 x 10) (*.f64 x (+.f64 x (*.f64 -3/40 (pow.f64 x 5))))))
(/.f64 (fma.f64 27/64000 (pow.f64 (pow.f64 x 5) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (*.f64 (pow.f64 x 5) -3/40)) (*.f64 9/1600 (pow.f64 x 10))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 3/40 (pow.f64 x 5)) 3)) (*.f64 (cbrt.f64 (+.f64 (*.f64 9/1600 (pow.f64 x 10)) (*.f64 x (-.f64 x (*.f64 3/40 (pow.f64 x 5)))))) (cbrt.f64 (+.f64 (*.f64 9/1600 (pow.f64 x 10)) (*.f64 x (-.f64 x (*.f64 3/40 (pow.f64 x 5)))))))) (cbrt.f64 (+.f64 (*.f64 9/1600 (pow.f64 x 10)) (*.f64 x (-.f64 x (*.f64 3/40 (pow.f64 x 5)))))))
(/.f64 (+.f64 (pow.f64 x 3) (*.f64 27/64000 (pow.f64 (pow.f64 x 5) 3))) (fma.f64 9/1600 (pow.f64 x 10) (*.f64 x (+.f64 x (*.f64 -3/40 (pow.f64 x 5))))))
(/.f64 (fma.f64 27/64000 (pow.f64 (pow.f64 x 5) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (*.f64 (pow.f64 x 5) -3/40)) (*.f64 9/1600 (pow.f64 x 10))))
(pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 1)
(fma.f64 3/40 (pow.f64 x 5) x)
(pow.f64 (sqrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)) 2)
(fma.f64 3/40 (pow.f64 x 5) x)
(pow.f64 (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)) 3)
(fma.f64 3/40 (pow.f64 x 5) x)
(pow.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3) 1/3)
(fma.f64 3/40 (pow.f64 x 5) x)
(sqrt.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2))
(fabs.f64 (fma.f64 3/40 (pow.f64 x 5) x))
(log.f64 (exp.f64 (fma.f64 3/40 (pow.f64 x 5) x)))
(fma.f64 3/40 (pow.f64 x 5) x)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 3/40 (pow.f64 x 5) x))))
(fma.f64 3/40 (pow.f64 x 5) x)
(cbrt.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3))
(fma.f64 3/40 (pow.f64 x 5) x)
(expm1.f64 (log1p.f64 (fma.f64 3/40 (pow.f64 x 5) x)))
(fma.f64 3/40 (pow.f64 x 5) x)
(exp.f64 (log.f64 (fma.f64 3/40 (pow.f64 x 5) x)))
(fma.f64 3/40 (pow.f64 x 5) x)
(exp.f64 (*.f64 (log.f64 (fma.f64 3/40 (pow.f64 x 5) x)) 1))
(fma.f64 3/40 (pow.f64 x 5) x)
(log1p.f64 (expm1.f64 (fma.f64 3/40 (pow.f64 x 5) x)))
(fma.f64 3/40 (pow.f64 x 5) x)
(fma.f64 3/40 (pow.f64 x 5) x)
(fma.f64 (pow.f64 x 5) 3/40 x)
(fma.f64 3/40 (pow.f64 x 5) x)
(fma.f64 1 x (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 3/40 (pow.f64 x 5) x)
(fma.f64 1 (*.f64 3/40 (pow.f64 x 5)) x)
(fma.f64 3/40 (pow.f64 x 5) x)
(fma.f64 (*.f64 (sqrt.f64 3/40) (pow.f64 x 5/2)) (*.f64 (sqrt.f64 3/40) (pow.f64 x 5/2)) x)
(+.f64 (pow.f64 (*.f64 (sqrt.f64 3/40) (pow.f64 x 5/2)) 2) x)
(+.f64 x (pow.f64 (*.f64 (sqrt.f64 3/40) (pow.f64 x 5/2)) 2))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 3/40 (pow.f64 x 5) x)
(fma.f64 (cbrt.f64 (*.f64 9/1600 (pow.f64 x 10))) (cbrt.f64 (*.f64 3/40 (pow.f64 x 5))) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 3/40 (pow.f64 x 5) x)

localize5.0ms (0%)

Compiler

Compiled 9 to 3 computations (66.7% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.01%
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
0.18%
(*.f64 -1/6 (pow.f64 x 3))
Compiler

Compiled 19 to 14 computations (26.3% saved)

series0.0ms (0%)

Counts
1 → 3
Calls

3 calls:

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

rewrite56.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
1738×add-sqr-sqrt
1702×*-un-lft-identity
1614×add-cube-cbrt
1602×add-cbrt-cube
166×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0815
118015
2216915
Stop Event
1×node limit
Counts
1 → 37
Calls
Call 1
Inputs
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (pow.f64 x 6) 1/36) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 2) (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x x)) (/.f64 1 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3)) (/.f64 1 (+.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x (-.f64 x (*.f64 -1/6 (pow.f64 x 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x) (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x (-.f64 x (*.f64 -1/6 (pow.f64 x 3))))) (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x x)) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3)) (+.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x (-.f64 x (*.f64 -1/6 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 (pow.f64 x 3) (*.f64 -1/6 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 x 6) 1/36)) (-.f64 x (*.f64 -1/6 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3))) (neg.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x (-.f64 x (*.f64 -1/6 (pow.f64 x 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/6 (pow.f64 x 3) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/6 (pow.f64 x 3) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 3) -1/6 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 -1/6 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -1/6 (pow.f64 x 3)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 -1/6 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 x (cbrt.f64 -1/6)) 2) (*.f64 x (cbrt.f64 -1/6)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 -1/6 (pow.f64 x 3)))))))

simplify56.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
1198×distribute-lft-in
1068×distribute-rgt-in
628×*-commutative
552×associate-*r/
538×distribute-lft-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0981136
12421074
29331006
334481006
Stop Event
1×node limit
Counts
40 → 46
Calls
Call 1
Inputs
x
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x))) 1)
(-.f64 (/.f64 (*.f64 (pow.f64 x 6) 1/36) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x)))
(*.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1)
(*.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))
(*.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(*.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 2) (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(*.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x x)) (/.f64 1 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x)))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3)) (/.f64 1 (+.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x (-.f64 x (*.f64 -1/6 (pow.f64 x 3)))))))
(/.f64 1 (/.f64 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x) (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x x))))
(/.f64 1 (/.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x (-.f64 x (*.f64 -1/6 (pow.f64 x 3))))) (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x x)) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3)) (+.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x (-.f64 x (*.f64 -1/6 (pow.f64 x 3))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 (pow.f64 x 3) (*.f64 -1/6 x)))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 x 6) 1/36)) (-.f64 x (*.f64 -1/6 (pow.f64 x 3))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3))) (neg.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x (-.f64 x (*.f64 -1/6 (pow.f64 x 3)))))))
(pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1)
(pow.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 2)
(pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 3)
(pow.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2))
(log.f64 (exp.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/6 (pow.f64 x 3) x))))
(cbrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 3))
(expm1.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(exp.f64 (log.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 1))
(log1p.f64 (expm1.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 (pow.f64 x 3) -1/6 x)
(fma.f64 1 x (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 1 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 (pow.f64 (*.f64 x (cbrt.f64 -1/6)) 2) (*.f64 x (cbrt.f64 -1/6)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 -1/6 (pow.f64 x 3)))
Outputs
x
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x))) 1)
(fma.f64 -1/6 (pow.f64 x 3) x)
(-.f64 (/.f64 (*.f64 (pow.f64 x 6) 1/36) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x)))
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x x)) (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x)))
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x x)) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 x 6) -1/36)) (fma.f64 (pow.f64 x 3) 1/6 x))
(*.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1)
(fma.f64 -1/6 (pow.f64 x 3) x)
(*.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))
(fma.f64 -1/6 (pow.f64 x 3) x)
(*.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(fma.f64 -1/6 (pow.f64 x 3) x)
(*.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 2))
(fma.f64 -1/6 (pow.f64 x 3) x)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 2) (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(fma.f64 -1/6 (pow.f64 x 3) x)
(*.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x x)) (/.f64 1 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x)))
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x x)) (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x)))
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x x)) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 x 6) -1/36)) (fma.f64 (pow.f64 x 3) 1/6 x))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3)) (/.f64 1 (+.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x (-.f64 x (*.f64 -1/6 (pow.f64 x 3)))))))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (*.f64 -1/216 (pow.f64 (pow.f64 x 3) 3))) 1) (fma.f64 (pow.f64 x 6) 1/36 (*.f64 x (+.f64 x (*.f64 1/6 (pow.f64 x 3))))))
(/.f64 (fma.f64 -1/216 (pow.f64 (pow.f64 x 3) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (*.f64 (pow.f64 x 3) 1/6)) (*.f64 (pow.f64 x 6) 1/36)))
(/.f64 (fma.f64 -1/216 (pow.f64 (pow.f64 x 3/2) 6) (pow.f64 x 3)) (fma.f64 x x (fma.f64 (pow.f64 x 6) 1/36 (*.f64 1/6 (pow.f64 x 4)))))
(/.f64 (fma.f64 -1/216 (pow.f64 (pow.f64 x 3/2) 6) (pow.f64 x 3)) (fma.f64 x (fma.f64 (pow.f64 x 3) 1/6 x) (*.f64 (pow.f64 x 6) 1/36)))
(/.f64 1 (/.f64 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x) (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x x))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x x)) (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x)))
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x x)) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 x 6) -1/36)) (fma.f64 (pow.f64 x 3) 1/6 x))
(/.f64 1 (/.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x (-.f64 x (*.f64 -1/6 (pow.f64 x 3))))) (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3))))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (*.f64 -1/216 (pow.f64 (pow.f64 x 3) 3))) 1) (fma.f64 (pow.f64 x 6) 1/36 (*.f64 x (+.f64 x (*.f64 1/6 (pow.f64 x 3))))))
(/.f64 (fma.f64 -1/216 (pow.f64 (pow.f64 x 3) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (*.f64 (pow.f64 x 3) 1/6)) (*.f64 (pow.f64 x 6) 1/36)))
(/.f64 (fma.f64 -1/216 (pow.f64 (pow.f64 x 3/2) 6) (pow.f64 x 3)) (fma.f64 x x (fma.f64 (pow.f64 x 6) 1/36 (*.f64 1/6 (pow.f64 x 4)))))
(/.f64 (fma.f64 -1/216 (pow.f64 (pow.f64 x 3/2) 6) (pow.f64 x 3)) (fma.f64 x (fma.f64 (pow.f64 x 3) 1/6 x) (*.f64 (pow.f64 x 6) 1/36)))
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x x)) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x))
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x x)) (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x)))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 x 6) -1/36)) (fma.f64 (pow.f64 x 3) 1/6 x))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3)) (+.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x (-.f64 x (*.f64 -1/6 (pow.f64 x 3))))))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (*.f64 -1/216 (pow.f64 (pow.f64 x 3) 3))) 1) (fma.f64 (pow.f64 x 6) 1/36 (*.f64 x (+.f64 x (*.f64 1/6 (pow.f64 x 3))))))
(/.f64 (fma.f64 -1/216 (pow.f64 (pow.f64 x 3) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (*.f64 (pow.f64 x 3) 1/6)) (*.f64 (pow.f64 x 6) 1/36)))
(/.f64 (fma.f64 -1/216 (pow.f64 (pow.f64 x 3/2) 6) (pow.f64 x 3)) (fma.f64 x x (fma.f64 (pow.f64 x 6) 1/36 (*.f64 1/6 (pow.f64 x 4)))))
(/.f64 (fma.f64 -1/216 (pow.f64 (pow.f64 x 3/2) 6) (pow.f64 x 3)) (fma.f64 x (fma.f64 (pow.f64 x 3) 1/6 x) (*.f64 (pow.f64 x 6) 1/36)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 (pow.f64 x 3) (*.f64 -1/6 x)))))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (*.f64 -1/216 (pow.f64 (pow.f64 x 3) 3))) 1) (fma.f64 (pow.f64 x 6) 1/36 (*.f64 x (+.f64 x (*.f64 1/6 (pow.f64 x 3))))))
(/.f64 (fma.f64 -1/216 (pow.f64 (pow.f64 x 3) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (*.f64 (pow.f64 x 3) 1/6)) (*.f64 (pow.f64 x 6) 1/36)))
(/.f64 (fma.f64 -1/216 (pow.f64 (pow.f64 x 3/2) 6) (pow.f64 x 3)) (fma.f64 x x (fma.f64 (pow.f64 x 6) 1/36 (*.f64 1/6 (pow.f64 x 4)))))
(/.f64 (fma.f64 -1/216 (pow.f64 (pow.f64 x 3/2) 6) (pow.f64 x 3)) (fma.f64 x (fma.f64 (pow.f64 x 3) 1/6 x) (*.f64 (pow.f64 x 6) 1/36)))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 x 6) 1/36)) (-.f64 x (*.f64 -1/6 (pow.f64 x 3))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x x)) (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x)))
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x x)) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 x 6) -1/36)) (fma.f64 (pow.f64 x 3) 1/6 x))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x)))
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x x)) (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x)))
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x x)) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 x 6) -1/36)) (fma.f64 (pow.f64 x 3) 1/6 x))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3))) (neg.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x (-.f64 x (*.f64 -1/6 (pow.f64 x 3)))))))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (*.f64 -1/216 (pow.f64 (pow.f64 x 3) 3))) 1) (fma.f64 (pow.f64 x 6) 1/36 (*.f64 x (+.f64 x (*.f64 1/6 (pow.f64 x 3))))))
(/.f64 (fma.f64 -1/216 (pow.f64 (pow.f64 x 3) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (*.f64 (pow.f64 x 3) 1/6)) (*.f64 (pow.f64 x 6) 1/36)))
(/.f64 (fma.f64 -1/216 (pow.f64 (pow.f64 x 3/2) 6) (pow.f64 x 3)) (fma.f64 x x (fma.f64 (pow.f64 x 6) 1/36 (*.f64 1/6 (pow.f64 x 4)))))
(/.f64 (fma.f64 -1/216 (pow.f64 (pow.f64 x 3/2) 6) (pow.f64 x 3)) (fma.f64 x (fma.f64 (pow.f64 x 3) 1/6 x) (*.f64 (pow.f64 x 6) 1/36)))
(pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1)
(fma.f64 -1/6 (pow.f64 x 3) x)
(pow.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 2)
(fma.f64 -1/6 (pow.f64 x 3) x)
(pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 3)
(fma.f64 -1/6 (pow.f64 x 3) x)
(pow.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 3) 1/3)
(fma.f64 -1/6 (pow.f64 x 3) x)
(sqrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2))
(fma.f64 -1/6 (pow.f64 x 3) x)
(log.f64 (exp.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(fma.f64 -1/6 (pow.f64 x 3) x)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/6 (pow.f64 x 3) x))))
(fma.f64 -1/6 (pow.f64 x 3) x)
(cbrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 3))
(fma.f64 -1/6 (pow.f64 x 3) x)
(expm1.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(fma.f64 -1/6 (pow.f64 x 3) x)
(exp.f64 (log.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(fma.f64 -1/6 (pow.f64 x 3) x)
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 1))
(fma.f64 -1/6 (pow.f64 x 3) x)
(log1p.f64 (expm1.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 (pow.f64 x 3) -1/6 x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 1 x (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 1 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 (pow.f64 (*.f64 x (cbrt.f64 -1/6)) 2) (*.f64 x (cbrt.f64 -1/6)) x)
(+.f64 x (pow.f64 (*.f64 x (cbrt.f64 -1/6)) 3))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 -1/6 (pow.f64 x 3) x)

localize40.0ms (0.4%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.04%
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
✓0.54%
(-.f64 (hypot.f64 1 x) x)
✓3.94%
(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
1.0ms
x
@inf
(log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))
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
(-.f64 (hypot.f64 1 x) x)
0.0ms
x
@inf
(-.f64 (hypot.f64 1 x) x)

rewrite74.0ms (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))))))))

simplify129.0ms (1.3%)

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))))
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(*.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 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -2)) (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -2)) (/.f64 1 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
(/.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -2)) (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 -1 (/.f64 1 (neg.f64 (-.f64 (hypot.f64 1 x) x))))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(*.f64 (/.f64 1 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x))) (+.f64 x (hypot.f64 1 x)))
(/.f64 (*.f64 1 (+.f64 x (hypot.f64 1 x))) (+.f64 1 (-.f64 (*.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 (+.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))))
(/.f64 (fma.f64 x (+.f64 x (hypot.f64 1 x)) (fma.f64 x x 1)) (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))
(*.f64 (pow.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) -1) (pow.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) -1))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 -1 (-.f64 x (hypot.f64 1 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))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(pow.f64 (-.f64 (hypot.f64 1 x) x) -1)
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(pow.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) 1)
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(pow.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2) 2)
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 3)
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(pow.f64 (pow.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) 3) 1/3)
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(pow.f64 (E.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)))
(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)))))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 -1 (-.f64 x (hypot.f64 1 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)))))
(/.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))))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))

localize42.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.54%
(-.f64 (hypot.f64 1 x) x)
✓16.06%
(+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))
✓20.31%
(log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))
✓27.4%
(log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
Compiler

Compiled 97 to 67 computations (30.9% saved)

series8.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
5.0ms
x
@inf
(log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
1.0ms
x
@-inf
(log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))
1.0ms
x
@-inf
(log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
1.0ms
x
@inf
(log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))
0.0ms
x
@0
(log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))

rewrite133.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
1290×associate-*r/
1072×associate-*l/
404×associate-+l+
338×add-sqr-sqrt
328×*-un-lft-identity
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01691
134091
2432691
Stop Event
1×node limit
Counts
3 → 149
Calls
Call 1
Inputs
(log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
(log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))
(+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))) (log.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))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))) 2)) (+.f64 (log.f64 (cbrt.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))) (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) 2)) (log.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))) (+.f64 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))) (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (hypot.f64 (pow.f64 (hypot.f64 1 x) 3/2) (pow.f64 x 3/2))) (log.f64 (hypot.f64 (pow.f64 (hypot.f64 1 x) 3/2) (pow.f64 x 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (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 (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))) (log.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) 2))) (log.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (log.f64 (hypot.f64 (pow.f64 (hypot.f64 1 x) 3/2) (pow.f64 x 3/2)))) (log.f64 (hypot.f64 (pow.f64 (hypot.f64 1 x) 3/2) (pow.f64 x 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 (pow.f64 x 9) (pow.f64 (hypot.f64 1 x) 9))) (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 6) (-.f64 (pow.f64 x 6) (pow.f64 (*.f64 x (hypot.f64 1 x)) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 (pow.f64 x 6) (pow.f64 (hypot.f64 1 x) 6))) (log.f64 (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))) (-.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 0 (log.f64 (+.f64 (pow.f64 x 9) (pow.f64 (hypot.f64 1 x) 9)))) (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 6) (-.f64 (pow.f64 x 6) (pow.f64 (*.f64 x (hypot.f64 1 x)) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 0 (log.f64 (-.f64 (pow.f64 x 6) (pow.f64 (hypot.f64 1 x) 6)))) (log.f64 (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 0 (exp.f64 (log1p.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))) (sqrt.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))) 2))))) (#(struct:change 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(2) ((x /.f64 (/.f64 (+.f64 (pow.f64 x 9) (pow.f64 (hypot.f64 1 x) 9)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 6) (-.f64 (pow.f64 x 6) (pow.f64 (*.f64 x (hypot.f64 1 x)) 3)))) (cbrt.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 6) (-.f64 (pow.f64 x 6) (pow.f64 (*.f64 x (hypot.f64 1 x)) 3)))))) (cbrt.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 6) (-.f64 (pow.f64 x 6) (pow.f64 (*.f64 x (hypot.f64 1 x)) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 6) (pow.f64 x 6)) 1) (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 6) (pow.f64 x 6)) (+.f64 1 (+.f64 (*.f64 x x) (*.f64 x (+.f64 x (hypot.f64 1 x)))))) (-.f64 (hypot.f64 1 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 6) (pow.f64 x 6)) (sqrt.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))) (sqrt.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 6) (pow.f64 x 6)) (*.f64 (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))))) (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 6) (pow.f64 x 6)) (+.f64 (pow.f64 (hypot.f64 1 x) 3/2) (pow.f64 x 3/2))) (-.f64 (pow.f64 (hypot.f64 1 x) 3/2) (pow.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 (pow.f64 (hypot.f64 1 x) 3/2) (pow.f64 x 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))) 2)) (cbrt.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))))) (sqrt.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 x x) (pow.f64 (hypot.f64 1 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 x) (+.f64 1 (*.f64 x x)) (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (hypot.f64 1 x) 3/2) (pow.f64 (hypot.f64 1 x) 3/2) (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 3/2) (pow.f64 x 3/2) (pow.f64 (hypot.f64 1 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (*.f64 x x)) (hypot.f64 1 x) (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) x (pow.f64 (hypot.f64 1 x) 3))))))

simplify118.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
1664×associate-*r/
1072×+-commutative
978×associate-+l+
710×associate-+r+
506×fma-def
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
04808921
112788547
248408547
Stop Event
1×node limit
Counts
185 → 318
Calls
Call 1
Inputs
(*.f64 -1 x)
(+.f64 (*.f64 3/2 (pow.f64 x 2)) (*.f64 -1 x))
(+.f64 (*.f64 7/6 (pow.f64 x 3)) (+.f64 (*.f64 3/2 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 (*.f64 -3/4 (pow.f64 x 4)) (+.f64 (*.f64 7/6 (pow.f64 x 3)) (+.f64 (*.f64 3/2 (pow.f64 x 2)) (*.f64 -1 x))))
(*.f64 -2 (log.f64 (/.f64 1 x)))
(+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (*.f64 -2 (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (*.f64 -2 (log.f64 (/.f64 1 x)))) (*.f64 1/12 (/.f64 1 (pow.f64 x 6))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 5/64 (/.f64 1 (pow.f64 x 8))) (*.f64 -2 (log.f64 (/.f64 1 x))))) (*.f64 1/12 (/.f64 1 (pow.f64 x 6))))
(+.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 3))
(+.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (log.f64 3)))
(-.f64 (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (log.f64 3))) (*.f64 1/6 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/12 (/.f64 1 (pow.f64 x 6))) (log.f64 3)))) (*.f64 1/6 (/.f64 1 (pow.f64 x 4))))
(*.f64 3/2 (pow.f64 x 2))
(+.f64 (*.f64 3/2 (pow.f64 x 2)) (pow.f64 x 3))
(+.f64 (*.f64 -3/4 (pow.f64 x 4)) (+.f64 (*.f64 3/2 (pow.f64 x 2)) (pow.f64 x 3)))
(+.f64 (*.f64 -3/4 (pow.f64 x 4)) (+.f64 (*.f64 3/2 (pow.f64 x 2)) (+.f64 (*.f64 -3/2 (pow.f64 x 5)) (pow.f64 x 3))))
(+.f64 (log.f64 2) (*.f64 -3 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (+.f64 (*.f64 3/4 (/.f64 1 (pow.f64 x 2))) (*.f64 -3 (log.f64 (/.f64 1 x)))))
(-.f64 (+.f64 (*.f64 3/4 (/.f64 1 (pow.f64 x 2))) (+.f64 (log.f64 2) (*.f64 -3 (log.f64 (/.f64 1 x))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (*.f64 3/4 (/.f64 1 (pow.f64 x 2))) (+.f64 (log.f64 2) (*.f64 -3 (log.f64 (/.f64 1 x))))) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 6))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4)))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 3/2))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (log.f64 3/2)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (log.f64 3/2))) (*.f64 7/96 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (log.f64 3/2)))) (*.f64 7/96 (/.f64 1 (pow.f64 x 4))))
1
(+.f64 1 (*.f64 3/2 (pow.f64 x 2)))
(+.f64 1 (+.f64 (*.f64 3/2 (pow.f64 x 2)) (pow.f64 x 3)))
(+.f64 1 (+.f64 (*.f64 3/8 (pow.f64 x 4)) (+.f64 (*.f64 3/2 (pow.f64 x 2)) (pow.f64 x 3))))
(*.f64 2 (pow.f64 x 3))
(+.f64 (*.f64 2 (pow.f64 x 3)) (*.f64 3/2 x))
(+.f64 (*.f64 3/8 (/.f64 1 x)) (+.f64 (*.f64 2 (pow.f64 x 3)) (*.f64 3/2 x)))
(-.f64 (+.f64 (*.f64 3/8 (/.f64 1 x)) (+.f64 (*.f64 2 (pow.f64 x 3)) (*.f64 3/2 x))) (*.f64 1/16 (/.f64 1 (pow.f64 x 3))))
(*.f64 -3/2 x)
(-.f64 (*.f64 -3/2 x) (*.f64 3/8 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 3))) (*.f64 -3/2 x)) (*.f64 3/8 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 3))) (*.f64 -3/2 x)) (+.f64 (*.f64 3/8 (/.f64 1 x)) (*.f64 3/128 (/.f64 1 (pow.f64 x 5)))))
(+.f64 (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))) 0)
(+.f64 0 (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))) 2)) (log.f64 (cbrt.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))))
(+.f64 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))) (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))))
(+.f64 (log.f64 (cbrt.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))) (log.f64 (pow.f64 (cbrt.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))) 2)))
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))) 2))) (log.f64 (cbrt.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))))
(+.f64 (+.f64 0 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))) (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))) 1)
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))))) 1)
(*.f64 1 (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(*.f64 (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))) 1)
(*.f64 (sqrt.f64 (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))) (sqrt.f64 (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))))
(*.f64 (cbrt.f64 (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))) (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))) 2) (cbrt.f64 (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))))
(pow.f64 (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))) 1)
(pow.f64 (sqrt.f64 (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))) 2)
(pow.f64 (cbrt.f64 (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))) 3)
(pow.f64 (pow.f64 (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))) 3) 1/3)
(sqrt.f64 (pow.f64 (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))) 2))
(cbrt.f64 (pow.f64 (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))) 3))
(expm1.f64 (log1p.f64 (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))))
(exp.f64 (log.f64 (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))))
(exp.f64 (*.f64 (log.f64 (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))) 1))
(log1p.f64 (-.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))) 1))
(+.f64 (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))) (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) 0)
(+.f64 0 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))) 2)) (+.f64 (log.f64 (cbrt.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) 2)) (log.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))))
(+.f64 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))) (+.f64 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (hypot.f64 (pow.f64 (hypot.f64 1 x) 3/2) (pow.f64 x 3/2))) (log.f64 (hypot.f64 (pow.f64 (hypot.f64 1 x) 3/2) (pow.f64 x 3/2))))
(+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))) (log.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) 2)))
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) 2))) (log.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))))
(+.f64 (+.f64 0 (log.f64 (hypot.f64 (pow.f64 (hypot.f64 1 x) 3/2) (pow.f64 x 3/2)))) (log.f64 (hypot.f64 (pow.f64 (hypot.f64 1 x) 3/2) (pow.f64 x 3/2))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 9) (pow.f64 (hypot.f64 1 x) 9))) (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 6) (-.f64 (pow.f64 x 6) (pow.f64 (*.f64 x (hypot.f64 1 x)) 3)))))
(-.f64 (log.f64 (-.f64 (pow.f64 x 6) (pow.f64 (hypot.f64 1 x) 6))) (log.f64 (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))))) 1)
(-.f64 (exp.f64 (log1p.f64 (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))) (-.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))))
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(/.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 6) (pow.f64 x 6)) (+.f64 1 (+.f64 (*.f64 x x) (*.f64 x (+.f64 x (hypot.f64 1 x)))))) (-.f64 (hypot.f64 1 x) x))
(/.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 6) (pow.f64 x 6)) (sqrt.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))) (sqrt.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))))
(/.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 6) (pow.f64 x 6)) (*.f64 (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))))) (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))))
(/.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 6) (pow.f64 x 6)) (+.f64 (pow.f64 (hypot.f64 1 x) 3/2) (pow.f64 x 3/2))) (-.f64 (pow.f64 (hypot.f64 1 x) 3/2) (pow.f64 x 3/2)))
(pow.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) 1)
(pow.f64 (hypot.f64 (pow.f64 (hypot.f64 1 x) 3/2) (pow.f64 x 3/2)) 2)
(pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) 3)
(pow.f64 (pow.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) 3) 1/3)
(pow.f64 (E.f64) (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))) 2)) (cbrt.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))))) (sqrt.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))))
(sqrt.f64 (pow.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) 2))
(log.f64 (exp.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))))
(cbrt.f64 (pow.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) 3))
(expm1.f64 (log1p.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))))
(exp.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))))
(log1p.f64 (expm1.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))))
(fma.f64 x (*.f64 x x) (pow.f64 (hypot.f64 1 x) 3))
(fma.f64 1 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))
(fma.f64 1 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))
(fma.f64 (hypot.f64 1 x) (+.f64 1 (*.f64 x x)) (pow.f64 x 3))
(fma.f64 (pow.f64 (hypot.f64 1 x) 3/2) (pow.f64 (hypot.f64 1 x) 3/2) (pow.f64 x 3))
(fma.f64 (pow.f64 x 3/2) (pow.f64 x 3/2) (pow.f64 (hypot.f64 1 x) 3))
(fma.f64 (+.f64 1 (*.f64 x x)) (hypot.f64 1 x) (pow.f64 x 3))
(fma.f64 (*.f64 x x) x (pow.f64 (hypot.f64 1 x) 3))
Outputs
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 3/2 (pow.f64 x 2)) (*.f64 -1 x))
(fma.f64 3/2 (*.f64 x x) (neg.f64 x))
(+.f64 (*.f64 7/6 (pow.f64 x 3)) (+.f64 (*.f64 3/2 (pow.f64 x 2)) (*.f64 -1 x)))
(fma.f64 7/6 (pow.f64 x 3) (fma.f64 3/2 (*.f64 x x) (neg.f64 x)))
(+.f64 (*.f64 -3/4 (pow.f64 x 4)) (+.f64 (*.f64 7/6 (pow.f64 x 3)) (+.f64 (*.f64 3/2 (pow.f64 x 2)) (*.f64 -1 x))))
(fma.f64 -3/4 (pow.f64 x 4) (fma.f64 7/6 (pow.f64 x 3) (fma.f64 3/2 (*.f64 x x) (neg.f64 x))))
(*.f64 -2 (log.f64 (/.f64 1 x)))
(*.f64 -2 (neg.f64 (log.f64 x)))
(+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (*.f64 -2 (log.f64 (/.f64 1 x))))
(+.f64 (*.f64 -2 (neg.f64 (log.f64 x))) (/.f64 1/2 (*.f64 x x)))
(fma.f64 -2 (neg.f64 (log.f64 x)) (/.f64 1/2 (*.f64 x x)))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (*.f64 -2 (log.f64 (/.f64 1 x)))) (*.f64 1/12 (/.f64 1 (pow.f64 x 6))))
(+.f64 (/.f64 1/2 (*.f64 x x)) (-.f64 (*.f64 -2 (neg.f64 (log.f64 x))) (/.f64 1/12 (pow.f64 x 6))))
(+.f64 (/.f64 1/2 (*.f64 x x)) (fma.f64 -2 (neg.f64 (log.f64 x)) (/.f64 -1/12 (pow.f64 x 6))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 5/64 (/.f64 1 (pow.f64 x 8))) (*.f64 -2 (log.f64 (/.f64 1 x))))) (*.f64 1/12 (/.f64 1 (pow.f64 x 6))))
(+.f64 (/.f64 1/2 (*.f64 x x)) (-.f64 (+.f64 (*.f64 -2 (neg.f64 (log.f64 x))) (/.f64 5/64 (pow.f64 x 8))) (/.f64 1/12 (pow.f64 x 6))))
(+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (/.f64 5/64 (pow.f64 x 8)) (fma.f64 -2 (neg.f64 (log.f64 x)) (/.f64 -1/12 (pow.f64 x 6)))))
(+.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 3))
(fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 3))
(+.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (log.f64 3)))
(fma.f64 -2 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 1/2 (*.f64 x x)) (log.f64 3)))
(+.f64 (/.f64 1/2 (*.f64 x x)) (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 3)))
(-.f64 (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (log.f64 3))) (*.f64 1/6 (/.f64 1 (pow.f64 x 4))))
(-.f64 (fma.f64 -2 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 1/2 (*.f64 x x)) (log.f64 3))) (/.f64 1/6 (pow.f64 x 4)))
(+.f64 (+.f64 (/.f64 1/2 (*.f64 x x)) (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 3))) (/.f64 -1/6 (pow.f64 x 4)))
(+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 3)) (/.f64 -1/6 (pow.f64 x 4))))
(-.f64 (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/12 (/.f64 1 (pow.f64 x 6))) (log.f64 3)))) (*.f64 1/6 (/.f64 1 (pow.f64 x 4))))
(-.f64 (fma.f64 -2 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (/.f64 1/12 (pow.f64 x 6)) (log.f64 3)))) (/.f64 1/6 (pow.f64 x 4)))
(fma.f64 -2 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 1/2 (*.f64 x x)) (-.f64 (+.f64 (/.f64 1/12 (pow.f64 x 6)) (log.f64 3)) (/.f64 1/6 (pow.f64 x 4)))))
(+.f64 (+.f64 (/.f64 1/2 (*.f64 x x)) (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 3))) (+.f64 (/.f64 1/12 (pow.f64 x 6)) (/.f64 -1/6 (pow.f64 x 4))))
(*.f64 3/2 (pow.f64 x 2))
(*.f64 3/2 (*.f64 x x))
(*.f64 x (*.f64 x 3/2))
(+.f64 (*.f64 3/2 (pow.f64 x 2)) (pow.f64 x 3))
(fma.f64 3/2 (*.f64 x x) (pow.f64 x 3))
(*.f64 (*.f64 x x) (+.f64 3/2 x))
(*.f64 (*.f64 x x) (+.f64 x 3/2))
(+.f64 (*.f64 -3/4 (pow.f64 x 4)) (+.f64 (*.f64 3/2 (pow.f64 x 2)) (pow.f64 x 3)))
(fma.f64 -3/4 (pow.f64 x 4) (fma.f64 3/2 (*.f64 x x) (pow.f64 x 3)))
(fma.f64 -3/4 (pow.f64 x 4) (*.f64 (*.f64 x x) (+.f64 3/2 x)))
(fma.f64 -3/4 (pow.f64 x 4) (*.f64 (*.f64 x x) (+.f64 x 3/2)))
(+.f64 (*.f64 -3/4 (pow.f64 x 4)) (+.f64 (*.f64 3/2 (pow.f64 x 2)) (+.f64 (*.f64 -3/2 (pow.f64 x 5)) (pow.f64 x 3))))
(fma.f64 -3/4 (pow.f64 x 4) (fma.f64 3/2 (*.f64 x x) (fma.f64 -3/2 (pow.f64 x 5) (pow.f64 x 3))))
(+.f64 (log.f64 2) (*.f64 -3 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (*.f64 (neg.f64 (log.f64 x)) -3))
(fma.f64 (neg.f64 (log.f64 x)) -3 (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (*.f64 3/4 (/.f64 1 (pow.f64 x 2))) (*.f64 -3 (log.f64 (/.f64 1 x)))))
(+.f64 (log.f64 2) (+.f64 (*.f64 (neg.f64 (log.f64 x)) -3) (/.f64 3/4 (*.f64 x x))))
(+.f64 (log.f64 2) (fma.f64 (neg.f64 (log.f64 x)) -3 (/.f64 3/4 (*.f64 x x))))
(-.f64 (+.f64 (*.f64 3/4 (/.f64 1 (pow.f64 x 2))) (+.f64 (log.f64 2) (*.f64 -3 (log.f64 (/.f64 1 x))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 3/4 (*.f64 x x)) (-.f64 (+.f64 (log.f64 2) (*.f64 (neg.f64 (log.f64 x)) -3)) (/.f64 3/32 (pow.f64 x 4))))
(+.f64 (fma.f64 (neg.f64 (log.f64 x)) -3 (log.f64 2)) (+.f64 (/.f64 3/4 (*.f64 x x)) (/.f64 -3/32 (pow.f64 x 4))))
(-.f64 (+.f64 (*.f64 3/4 (/.f64 1 (pow.f64 x 2))) (+.f64 (log.f64 2) (*.f64 -3 (log.f64 (/.f64 1 x))))) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 6))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4)))))
(-.f64 (+.f64 (+.f64 (log.f64 2) (*.f64 (neg.f64 (log.f64 x)) -3)) (/.f64 3/4 (*.f64 x x))) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (/.f64 1/32 (pow.f64 x 6))))
(+.f64 (fma.f64 (neg.f64 (log.f64 x)) -3 (log.f64 2)) (-.f64 (/.f64 3/4 (*.f64 x x)) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (/.f64 1/32 (pow.f64 x 6)))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 3/2))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 3/2))
(-.f64 (log.f64 3/2) (log.f64 (/.f64 -1 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (log.f64 3/2)))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 3/2) (/.f64 1/4 (*.f64 x x))))
(+.f64 (-.f64 (log.f64 3/2) (log.f64 (/.f64 -1 x))) (/.f64 1/4 (*.f64 x x)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (log.f64 3/2))) (*.f64 7/96 (/.f64 1 (pow.f64 x 4))))
(-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 3/2) (/.f64 1/4 (*.f64 x x)))) (/.f64 7/96 (pow.f64 x 4)))
(+.f64 (+.f64 (-.f64 (log.f64 3/2) (log.f64 (/.f64 -1 x))) (/.f64 1/4 (*.f64 x x))) (/.f64 -7/96 (pow.f64 x 4)))
(+.f64 (-.f64 (log.f64 3/2) (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 -7/96 (pow.f64 x 4))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (log.f64 3/2)))) (*.f64 7/96 (/.f64 1 (pow.f64 x 4))))
(-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 1/32 (pow.f64 x 6)) (+.f64 (log.f64 3/2) (/.f64 1/4 (*.f64 x x))))) (/.f64 7/96 (pow.f64 x 4)))
(+.f64 (+.f64 (/.f64 1/32 (pow.f64 x 6)) (+.f64 (-.f64 (log.f64 3/2) (log.f64 (/.f64 -1 x))) (/.f64 1/4 (*.f64 x x)))) (/.f64 -7/96 (pow.f64 x 4)))
(+.f64 (+.f64 (/.f64 1/32 (pow.f64 x 6)) (-.f64 (log.f64 3/2) (log.f64 (/.f64 -1 x)))) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 -7/96 (pow.f64 x 4))))
1
(+.f64 1 (*.f64 3/2 (pow.f64 x 2)))
(+.f64 (*.f64 3/2 (*.f64 x x)) 1)
(fma.f64 3/2 (*.f64 x x) 1)
(+.f64 1 (+.f64 (*.f64 3/2 (pow.f64 x 2)) (pow.f64 x 3)))
(+.f64 1 (fma.f64 3/2 (*.f64 x x) (pow.f64 x 3)))
(+.f64 1 (*.f64 (*.f64 x x) (+.f64 3/2 x)))
(+.f64 1 (*.f64 (*.f64 x x) (+.f64 x 3/2)))
(+.f64 1 (+.f64 (*.f64 3/8 (pow.f64 x 4)) (+.f64 (*.f64 3/2 (pow.f64 x 2)) (pow.f64 x 3))))
(+.f64 1 (fma.f64 3/8 (pow.f64 x 4) (fma.f64 3/2 (*.f64 x x) (pow.f64 x 3))))
(+.f64 1 (fma.f64 (pow.f64 x 4) 3/8 (*.f64 (*.f64 x x) (+.f64 3/2 x))))
(+.f64 1 (fma.f64 (pow.f64 x 4) 3/8 (*.f64 (*.f64 x x) (+.f64 x 3/2))))
(*.f64 2 (pow.f64 x 3))
(+.f64 (*.f64 2 (pow.f64 x 3)) (*.f64 3/2 x))
(fma.f64 2 (pow.f64 x 3) (*.f64 x 3/2))
(fma.f64 x 3/2 (*.f64 2 (pow.f64 x 3)))
(+.f64 (*.f64 3/8 (/.f64 1 x)) (+.f64 (*.f64 2 (pow.f64 x 3)) (*.f64 3/2 x)))
(+.f64 (fma.f64 2 (pow.f64 x 3) (*.f64 x 3/2)) (/.f64 3/8 x))
(+.f64 (fma.f64 x 3/2 (*.f64 2 (pow.f64 x 3))) (/.f64 3/8 x))
(-.f64 (+.f64 (*.f64 3/8 (/.f64 1 x)) (+.f64 (*.f64 2 (pow.f64 x 3)) (*.f64 3/2 x))) (*.f64 1/16 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (fma.f64 2 (pow.f64 x 3) (*.f64 x 3/2)) (/.f64 3/8 x)) (/.f64 1/16 (pow.f64 x 3)))
(+.f64 (/.f64 3/8 x) (+.f64 (fma.f64 x 3/2 (*.f64 2 (pow.f64 x 3))) (/.f64 -1/16 (pow.f64 x 3))))
(*.f64 -3/2 x)
(*.f64 x -3/2)
(-.f64 (*.f64 -3/2 x) (*.f64 3/8 (/.f64 1 x)))
(-.f64 (*.f64 x -3/2) (/.f64 3/8 x))
(fma.f64 x -3/2 (/.f64 -3/8 x))
(-.f64 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 3))) (*.f64 -3/2 x)) (*.f64 3/8 (/.f64 1 x)))
(+.f64 (/.f64 1/16 (pow.f64 x 3)) (-.f64 (*.f64 x -3/2) (/.f64 3/8 x)))
(+.f64 (/.f64 1/16 (pow.f64 x 3)) (fma.f64 x -3/2 (/.f64 -3/8 x)))
(-.f64 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 3))) (*.f64 -3/2 x)) (+.f64 (*.f64 3/8 (/.f64 1 x)) (*.f64 3/128 (/.f64 1 (pow.f64 x 5)))))
(-.f64 (+.f64 (/.f64 1/16 (pow.f64 x 3)) (-.f64 (*.f64 x -3/2) (/.f64 3/8 x))) (/.f64 3/128 (pow.f64 x 5)))
(+.f64 (/.f64 1/16 (pow.f64 x 3)) (-.f64 (fma.f64 x -3/2 (/.f64 -3/8 x)) (/.f64 3/128 (pow.f64 x 5))))
(+.f64 (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))) 0)
(log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
(+.f64 0 (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))) 2)) (log.f64 (cbrt.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))) (log.f64 (cbrt.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))))
(*.f64 3 (log.f64 (cbrt.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))))
(+.f64 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))) (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))))
(*.f64 2 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))))
(+.f64 (log.f64 (cbrt.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))) (log.f64 (pow.f64 (cbrt.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))) 2)))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))) (log.f64 (cbrt.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))))
(*.f64 3 (log.f64 (cbrt.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))))
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))) 2))) (log.f64 (cbrt.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))) (log.f64 (cbrt.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))))
(*.f64 3 (log.f64 (cbrt.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))))
(+.f64 (+.f64 0 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))) (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))))
(*.f64 2 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))) 1)
(log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))))) 1)
(log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
(*.f64 1 (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
(*.f64 (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))) 1)
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(fma.f64 (hypot.f64 1 x) (fma.f64 x x 1) (pow.f64 x 3))
(fma.f64 (*.f64 x x) x (pow.f64 (hypot.f64 1 x) 3))
(+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))

eval911.0ms (9.5%)

Compiler

Compiled 28583 to 21379 computations (25.2% saved)

prune222.0ms (2.3%)

Pruning

12 alts after pruning (6 fresh and 6 done)

PrunedKeptTotal
New9762978
Fresh044
Picked011
Done055
Total97612988
Error
0.01%
Counts
988 → 12
Alt Table
Click to see full alt table
StatusErrorProgram
▶70.52%
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)
✓86.66%
(-.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)))))
✓50.53%
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x))
✓51.08%
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
▶69.2%
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
✓69.22%
(log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))
▶73.87%
(log.f64 (/.f64 1 (-.f64 (*.f64 x -2) (/.f64 1/2 x))))
▶74.74%
(log.f64 (/.f64 -1/2 x))
▶73.1%
(log.f64 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))))
✓68.55%
(log.f64 (+.f64 x (hypot.f64 1 x)))
✓74.05%
(log.f64 (+.f64 x x))
49%
x
Compiler

Compiled 160 to 123 computations (23.1% saved)

localize36.0ms (0.4%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.54%
(-.f64 (hypot.f64 1 x) x)
✓3.95%
(log.f64 (-.f64 (hypot.f64 1 x) x))
Compiler

Compiled 24 to 16 computations (33.3% saved)

series2.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

simplify72.0ms (0.8%)

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)))

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.01%
(log.f64 (/.f64 -1/2 x))
Compiler

Compiled 10 to 7 computations (30% saved)

series69.0ms (0.7%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
35.0ms
x
@-inf
(log.f64 (/.f64 -1/2 x))
23.0ms
x
@0
(log.f64 (/.f64 -1/2 x))
10.0ms
x
@inf
(log.f64 (/.f64 -1/2 x))

rewrite53.0ms (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))))))

simplify96.0ms (1%)

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)))

localize47.0ms (0.5%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.01%
(log.f64 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))))
✓0.01%
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
Compiler

Compiled 35 to 27 computations (22.9% saved)

series2.0ms (0%)

Counts
2 → 15
Calls

6 calls:

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

rewrite142.0ms (1.5%)

Algorithm
1×batch-egg-rewrite
Rules
1008×*-commutative
934×associate-*r/
762×unswap-sqr
610×swap-sqr
570×associate-*l/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01234
124934
2298834
Stop Event
1×node limit
Counts
2 → 123
Calls
Call 1
Inputs
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(log.f64 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1/2 x))) (-.f64 1 (*.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 2 x (/.f64 1/2 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 2 x))) (-.f64 1 (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 4 (*.f64 x x)) (fma.f64 2 x (/.f64 -1/2 x))) (/.f64 (pow.f64 (/.f64 1/2 x) 2) (fma.f64 2 x (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 2 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 (*.f64 2 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 2 x (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 2 x (/.f64 1/2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 2 x (/.f64 1/2 x))) (sqrt.f64 (fma.f64 2 x (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x))) (pow.f64 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x))) 2) (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 4 (*.f64 x x)) (*.f64 (pow.f64 x -2) -1/4)) (/.f64 1 (fma.f64 2 x (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 8 (pow.f64 x 3)) (/.f64 1/8 (pow.f64 x 3))) (/.f64 1 (+.f64 (pow.f64 (/.f64 1/2 x) 2) (*.f64 (*.f64 2 x) (fma.f64 2 x (/.f64 -1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 2 x (/.f64 -1/2 x))) (+.f64 (*.f64 4 (*.f64 x x)) (*.f64 (pow.f64 x -2) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (pow.f64 (/.f64 1/2 x) 2) (*.f64 (*.f64 2 x) (fma.f64 2 x (/.f64 -1/2 x))))) (+.f64 (*.f64 8 (pow.f64 x 3)) (/.f64 1/8 (pow.f64 x 3))))))) (#(struct:change #<rule 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simplify138.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
1798×associate-/r*
1614×associate-*r/
1278×associate-*l/
710×+-commutative
646×associate-+l+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03886874
110506296
240986284
Stop Event
1×node limit
Counts
138 → 243
Calls
Call 1
Inputs
(/.f64 1/2 x)
(*.f64 2 x)
(*.f64 2 x)
(+.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 (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 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 (*.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 (exp.f64 (log1p.f64 (/.f64 1/2 x))) (-.f64 1 (*.f64 2 x)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 2 x (/.f64 1/2 x)))) 1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 2 x))) (-.f64 1 (/.f64 1/2 x)))
(-.f64 (/.f64 (*.f64 4 (*.f64 x x)) (fma.f64 2 x (/.f64 -1/2 x))) (/.f64 (pow.f64 (/.f64 1/2 x) 2) (fma.f64 2 x (/.f64 -1/2 x))))
(-.f64 (+.f64 (*.f64 2 x) (exp.f64 (log1p.f64 (/.f64 1/2 x)))) 1)
(-.f64 (+.f64 (/.f64 1/2 x) (exp.f64 (log1p.f64 (*.f64 2 x)))) 1)
(*.f64 1 (fma.f64 2 x (/.f64 1/2 x)))
(*.f64 (fma.f64 2 x (/.f64 1/2 x)) 1)
(*.f64 (sqrt.f64 (fma.f64 2 x (/.f64 1/2 x))) (sqrt.f64 (fma.f64 2 x (/.f64 1/2 x))))
(*.f64 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x))) (pow.f64 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x))) 2) (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x))))
(*.f64 (+.f64 (*.f64 4 (*.f64 x x)) (*.f64 (pow.f64 x -2) -1/4)) (/.f64 1 (fma.f64 2 x (/.f64 -1/2 x))))
(*.f64 (+.f64 (*.f64 8 (pow.f64 x 3)) (/.f64 1/8 (pow.f64 x 3))) (/.f64 1 (+.f64 (pow.f64 (/.f64 1/2 x) 2) (*.f64 (*.f64 2 x) (fma.f64 2 x (/.f64 -1/2 x))))))
(*.f64 (/.f64 1 (fma.f64 2 x (/.f64 -1/2 x))) (+.f64 (*.f64 4 (*.f64 x x)) (*.f64 (pow.f64 x -2) -1/4)))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (/.f64 1/2 x) 2) (*.f64 (*.f64 2 x) (fma.f64 2 x (/.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 (pow.f64 x -2) -1/4)) (+.f64 (*.f64 4 (*.f64 x x)) (*.f64 (pow.f64 x -2) -1/4))) (fma.f64 2 x (/.f64 1/2 x)))
(*.f64 (/.f64 (+.f64 (*.f64 4 (*.f64 x x)) (*.f64 (pow.f64 x -2) -1/4)) (-.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 2 x (/.f64 1/2 x)))))
(*.f64 (/.f64 (+.f64 (*.f64 8 (pow.f64 x 3)) (/.f64 1/8 (pow.f64 x 3))) (-.f64 (*.f64 (*.f64 x (pow.f64 x 3)) 16) (*.f64 (pow.f64 (/.f64 1/2 x) 2) (*.f64 (+.f64 (/.f64 1/2 x) (*.f64 x -2)) (+.f64 (/.f64 1/2 x) (*.f64 x -2)))))) (+.f64 (*.f64 4 (*.f64 x x)) (*.f64 (/.f64 -1/2 x) (+.f64 (/.f64 1/2 x) (*.f64 x -2)))))
(*.f64 (/.f64 (+.f64 (*.f64 8 (pow.f64 x 3)) (/.f64 1/8 (pow.f64 x 3))) (+.f64 (pow.f64 (*.f64 4 (*.f64 x x)) 3) (pow.f64 (+.f64 (pow.f64 (/.f64 1/2 x) 2) (*.f64 x (/.f64 -1 x))) 3))) (+.f64 (*.f64 (*.f64 x (pow.f64 x 3)) 16) (*.f64 (+.f64 (pow.f64 (/.f64 1/2 x) 2) (*.f64 x (/.f64 -1 x))) (-.f64 (+.f64 (pow.f64 (/.f64 1/2 x) 2) (*.f64 x (/.f64 -1 x))) (*.f64 4 (*.f64 x x))))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x)))) (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x)))) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x)))) (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x)))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 2 x (/.f64 1/2 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 2 x (/.f64 1/2 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x))) 2))))
(*.f64 (*.f64 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x))) (sqrt.f64 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x))))) (*.f64 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x))) (sqrt.f64 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x))))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x))) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 2 x (/.f64 1/2 x))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x))) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 2 x (/.f64 1/2 x))))))
(/.f64 1 (/.f64 1 (fma.f64 2 x (/.f64 1/2 x))))
(/.f64 (fma.f64 2 x (/.f64 1/2 x)) (/.f64 (fma.f64 2 x (/.f64 -1/2 x)) (fma.f64 2 x (/.f64 -1/2 x))))
(/.f64 (+.f64 (*.f64 4 (*.f64 x x)) (*.f64 (pow.f64 x -2) -1/4)) (fma.f64 2 x (/.f64 -1/2 x)))
(/.f64 (+.f64 (*.f64 8 (pow.f64 x 3)) (/.f64 1/8 (pow.f64 x 3))) (+.f64 (pow.f64 (/.f64 1/2 x) 2) (*.f64 (*.f64 2 x) (fma.f64 2 x (/.f64 -1/2 x)))))
(/.f64 (+.f64 (pow.f64 (/.f64 1/2 x) 2) (*.f64 (*.f64 2 x) (fma.f64 2 x (/.f64 -1/2 x)))) (/.f64 (+.f64 (pow.f64 (/.f64 1/2 x) 2) (*.f64 (*.f64 2 x) (fma.f64 2 x (/.f64 -1/2 x)))) (fma.f64 2 x (/.f64 1/2 x))))
(/.f64 (sqrt.f64 (+.f64 (*.f64 8 (pow.f64 x 3)) (/.f64 1/8 (pow.f64 x 3)))) (/.f64 (+.f64 (pow.f64 (/.f64 1/2 x) 2) (*.f64 (*.f64 2 x) (fma.f64 2 x (/.f64 -1/2 x)))) (sqrt.f64 (+.f64 (*.f64 8 (pow.f64 x 3)) (/.f64 1/8 (pow.f64 x 3))))))
(/.f64 (sqrt.f64 (+.f64 (*.f64 4 (*.f64 x x)) (*.f64 (pow.f64 x -2) -1/4))) (/.f64 (fma.f64 2 x (/.f64 -1/2 x)) (sqrt.f64 (+.f64 (*.f64 4 (*.f64 x x)) (*.f64 (pow.f64 x -2) -1/4)))))
(/.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 (pow.f64 (/.f64 1/2 x) 2) (*.f64 (*.f64 2 x) (fma.f64 2 x (/.f64 -1/2 x)))) (cbrt.f64 (+.f64 (*.f64 8 (pow.f64 x 3)) (/.f64 1/8 (pow.f64 x 3))))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 4 (*.f64 x x)) (*.f64 (pow.f64 x -2) -1/4))) (cbrt.f64 (+.f64 (*.f64 4 (*.f64 x x)) (*.f64 (pow.f64 x -2) -1/4)))) (/.f64 (fma.f64 2 x (/.f64 -1/2 x)) (cbrt.f64 (+.f64 (*.f64 4 (*.f64 x x)) (*.f64 (pow.f64 x -2) -1/4)))))
(/.f64 (+.f64 (pow.f64 (/.f64 1/2 x) 2) (*.f64 -4 (*.f64 x x))) (+.f64 (/.f64 1/2 x) (*.f64 x -2)))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) 64) (*.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/8 (pow.f64 x 3)))) (*.f64 (+.f64 (pow.f64 (/.f64 1/2 x) 2) (*.f64 (*.f64 2 x) (fma.f64 2 x (/.f64 -1/2 x)))) (-.f64 (*.f64 8 (pow.f64 x 3)) (/.f64 1/8 (pow.f64 x 3)))))
(/.f64 (-.f64 (*.f64 (*.f64 x (pow.f64 x 3)) 16) (*.f64 1/16 (*.f64 (pow.f64 x -2) (pow.f64 x -2)))) (*.f64 (fma.f64 2 x (/.f64 -1/2 x)) (+.f64 (*.f64 4 (*.f64 x x)) (pow.f64 (/.f64 1/2 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 (pow.f64 (/.f64 1/2 x) 2) (*.f64 (*.f64 2 x) (fma.f64 2 x (/.f64 -1/2 x)))) (+.f64 (*.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) 64) (*.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (/.f64 1/8 (pow.f64 x 3)) (*.f64 8 (pow.f64 x 3)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 4 (*.f64 x x)) 3) (pow.f64 (pow.f64 (/.f64 1/2 x) 2) 3)) (*.f64 (fma.f64 2 x (/.f64 -1/2 x)) (+.f64 (*.f64 (*.f64 x (pow.f64 x 3)) 16) (+.f64 (*.f64 1/16 (*.f64 (pow.f64 x -2) (pow.f64 x -2))) (*.f64 (*.f64 x x) (pow.f64 x -2))))))
(/.f64 (neg.f64 (+.f64 (*.f64 4 (*.f64 x x)) (*.f64 (pow.f64 x -2) -1/4))) (neg.f64 (fma.f64 2 x (/.f64 -1/2 x))))
(/.f64 (neg.f64 (+.f64 (*.f64 8 (pow.f64 x 3)) (/.f64 1/8 (pow.f64 x 3)))) (neg.f64 (+.f64 (pow.f64 (/.f64 1/2 x) 2) (*.f64 (*.f64 2 x) (fma.f64 2 x (/.f64 -1/2 x))))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 2 x (/.f64 1/2 x))) (sqrt.f64 (+.f64 (*.f64 8 (pow.f64 x 3)) (/.f64 1/8 (pow.f64 x 3))))) (sqrt.f64 (+.f64 (pow.f64 (/.f64 1/2 x) 2) (*.f64 (*.f64 2 x) (fma.f64 2 x (/.f64 -1/2 x))))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 2 x (/.f64 1/2 x))) (sqrt.f64 (+.f64 (*.f64 4 (*.f64 x x)) (*.f64 (pow.f64 x -2) -1/4)))) (sqrt.f64 (fma.f64 2 x (/.f64 -1/2 x))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x))) 2) (cbrt.f64 (+.f64 (*.f64 8 (pow.f64 x 3)) (/.f64 1/8 (pow.f64 x 3))))) (cbrt.f64 (+.f64 (pow.f64 (/.f64 1/2 x) 2) (*.f64 (*.f64 2 x) (fma.f64 2 x (/.f64 -1/2 x))))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x))) 2) (cbrt.f64 (+.f64 (*.f64 4 (*.f64 x x)) (*.f64 (pow.f64 x -2) -1/4)))) (cbrt.f64 (fma.f64 2 x (/.f64 -1/2 x))))
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 1/2 x) 2) (*.f64 -4 (*.f64 x x))) 1) (+.f64 (/.f64 1/2 x) (*.f64 x -2)))
(/.f64 (*.f64 (neg.f64 (+.f64 (*.f64 4 (*.f64 x x)) (*.f64 (pow.f64 x -2) -1/4))) 1) (neg.f64 (fma.f64 2 x (/.f64 -1/2 x))))
(/.f64 (*.f64 (neg.f64 (+.f64 (*.f64 8 (pow.f64 x 3)) (/.f64 1/8 (pow.f64 x 3)))) 1) (neg.f64 (+.f64 (pow.f64 (/.f64 1/2 x) 2) (*.f64 (*.f64 2 x) (fma.f64 2 x (/.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 2 x (/.f64 1/2 x)))) (sqrt.f64 (+.f64 (pow.f64 (/.f64 1/2 x) 2) (*.f64 (*.f64 2 x) (fma.f64 2 x (/.f64 -1/2 x))))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 4 (*.f64 x x)) (*.f64 (pow.f64 x -2) -1/4))) (sqrt.f64 (fma.f64 2 x (/.f64 1/2 x)))) (sqrt.f64 (fma.f64 2 x (/.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 2 x (/.f64 1/2 x))) 2)) (cbrt.f64 (+.f64 (pow.f64 (/.f64 1/2 x) 2) (*.f64 (*.f64 2 x) (fma.f64 2 x (/.f64 -1/2 x))))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 4 (*.f64 x x)) (*.f64 (pow.f64 x -2) -1/4))) (pow.f64 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x))) 2)) (cbrt.f64 (fma.f64 2 x (/.f64 -1/2 x))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x (pow.f64 x 3)) 16) (*.f64 1/16 (*.f64 (pow.f64 x -2) (pow.f64 x -2)))) (/.f64 1 (fma.f64 2 x (/.f64 -1/2 x)))) (+.f64 (*.f64 4 (*.f64 x x)) (pow.f64 (/.f64 1/2 x) 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 4 (*.f64 x x)) 3) (pow.f64 (pow.f64 (/.f64 1/2 x) 2) 3)) (/.f64 1 (fma.f64 2 x (/.f64 -1/2 x)))) (+.f64 (*.f64 (*.f64 x (pow.f64 x 3)) 16) (+.f64 (*.f64 1/16 (*.f64 (pow.f64 x -2) (pow.f64 x -2))) (*.f64 (*.f64 x x) (pow.f64 x -2)))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) 64) (*.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/8 (pow.f64 x 3)))) (/.f64 1 (+.f64 (pow.f64 (/.f64 1/2 x) 2) (*.f64 (*.f64 2 x) (fma.f64 2 x (/.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 (pow.f64 (/.f64 1/2 x) 2) (*.f64 (*.f64 2 x) (fma.f64 2 x (/.f64 -1/2 x)))))) (+.f64 (*.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) 64) (*.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (/.f64 1/8 (pow.f64 x 3)) (*.f64 8 (pow.f64 x 3))))))
(/.f64 (/.f64 (+.f64 (*.f64 4 (*.f64 x x)) (*.f64 (pow.f64 x -2) -1/4)) 1) (fma.f64 2 x (/.f64 -1/2 x)))
(/.f64 (/.f64 (+.f64 (*.f64 4 (*.f64 x x)) (*.f64 (pow.f64 x -2) -1/4)) (sqrt.f64 (fma.f64 2 x (/.f64 -1/2 x)))) (sqrt.f64 (fma.f64 2 x (/.f64 -1/2 x))))
(/.f64 (/.f64 (+.f64 (*.f64 4 (*.f64 x x)) (*.f64 (pow.f64 x -2) -1/4)) (*.f64 (cbrt.f64 (fma.f64 2 x (/.f64 -1/2 x))) (cbrt.f64 (fma.f64 2 x (/.f64 -1/2 x))))) (cbrt.f64 (fma.f64 2 x (/.f64 -1/2 x))))
(/.f64 (/.f64 (+.f64 (*.f64 4 (*.f64 x x)) (*.f64 (pow.f64 x -2) -1/4)) (+.f64 (sqrt.f64 (*.f64 2 x)) (sqrt.f64 (/.f64 1/2 x)))) (-.f64 (sqrt.f64 (*.f64 2 x)) (sqrt.f64 (/.f64 1/2 x))))
(/.f64 (/.f64 (+.f64 (*.f64 8 (pow.f64 x 3)) (/.f64 1/8 (pow.f64 x 3))) 1) (+.f64 (pow.f64 (/.f64 1/2 x) 2) (*.f64 (*.f64 2 x) (fma.f64 2 x (/.f64 -1/2 x)))))
(/.f64 (/.f64 (+.f64 (*.f64 8 (pow.f64 x 3)) (/.f64 1/8 (pow.f64 x 3))) (sqrt.f64 (+.f64 (pow.f64 (/.f64 1/2 x) 2) (*.f64 (*.f64 2 x) (fma.f64 2 x (/.f64 -1/2 x)))))) (sqrt.f64 (+.f64 (pow.f64 (/.f64 1/2 x) 2) (*.f64 (*.f64 2 x) (fma.f64 2 x (/.f64 -1/2 x))))))
(/.f64 (/.f64 (+.f64 (*.f64 8 (pow.f64 x 3)) (/.f64 1/8 (pow.f64 x 3))) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 1/2 x) 2) (*.f64 (*.f64 2 x) (fma.f64 2 x (/.f64 -1/2 x))))) (cbrt.f64 (+.f64 (pow.f64 (/.f64 1/2 x) 2) (*.f64 (*.f64 2 x) (fma.f64 2 x (/.f64 -1/2 x))))))) (cbrt.f64 (+.f64 (pow.f64 (/.f64 1/2 x) 2) (*.f64 (*.f64 2 x) (fma.f64 2 x (/.f64 -1/2 x))))))
(pow.f64 (fma.f64 2 x (/.f64 1/2 x)) 1)
(pow.f64 (sqrt.f64 (fma.f64 2 x (/.f64 1/2 x))) 2)
(pow.f64 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x))) 3)
(pow.f64 (pow.f64 (fma.f64 2 x (/.f64 1/2 x)) 3) 1/3)
(pow.f64 (E.f64) (log.f64 (fma.f64 2 x (/.f64 1/2 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))) 2)) (cbrt.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x))))) (sqrt.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))))
(neg.f64 (/.f64 (+.f64 (*.f64 4 (*.f64 x x)) (*.f64 (pow.f64 x -2) -1/4)) (neg.f64 (fma.f64 2 x (/.f64 -1/2 x)))))
(neg.f64 (/.f64 (+.f64 (*.f64 8 (pow.f64 x 3)) (/.f64 1/8 (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 1/2 x) 2) (*.f64 (*.f64 2 x) (fma.f64 2 x (/.f64 -1/2 x)))))))
(sqrt.f64 (pow.f64 (fma.f64 2 x (/.f64 1/2 x)) 2))
(log.f64 (exp.f64 (fma.f64 2 x (/.f64 1/2 x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 2 x (/.f64 1/2 x)))))
(cbrt.f64 (pow.f64 (fma.f64 2 x (/.f64 1/2 x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 2 x (/.f64 1/2 x))))
(exp.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x))))
(log1p.f64 (expm1.f64 (fma.f64 2 x (/.f64 1/2 x))))
(fma.f64 2 x (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(fma.f64 1/2 (/.f64 1 x) (*.f64 2 x))
(fma.f64 1 (*.f64 2 x) (/.f64 1/2 x))
(fma.f64 1 (/.f64 1/2 x) (*.f64 2 x))
(fma.f64 (/.f64 1 x) 1/2 (*.f64 2 x))
(fma.f64 (sqrt.f64 (*.f64 2 x)) (sqrt.f64 (*.f64 2 x)) (/.f64 1/2 x))
(fma.f64 (sqrt.f64 (/.f64 1/2 x)) (sqrt.f64 (/.f64 1/2 x)) (*.f64 2 x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 2 x)) 2) (cbrt.f64 (*.f64 2 x)) (/.f64 1/2 x))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2) (cbrt.f64 (/.f64 1/2 x)) (*.f64 2 x))
(+.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x))) 0)
(+.f64 0 (log.f64 (fma.f64 2 x (/.f64 1/2 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x))) 2)) (log.f64 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x)))))
(+.f64 (log.f64 (sqrt.f64 (fma.f64 2 x (/.f64 1/2 x)))) (log.f64 (sqrt.f64 (fma.f64 2 x (/.f64 1/2 x)))))
(+.f64 (log.f64 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x)))) (log.f64 (pow.f64 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x))) 2)))
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x))) 2))) (log.f64 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x)))))
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (fma.f64 2 x (/.f64 1/2 x))))) (log.f64 (sqrt.f64 (fma.f64 2 x (/.f64 1/2 x)))))
(+.f64 (*.f64 1 (log.f64 (pow.f64 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x))) 2))) (*.f64 1 (log.f64 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x))))))
(+.f64 (*.f64 1 (log.f64 (sqrt.f64 (fma.f64 2 x (/.f64 1/2 x))))) (*.f64 1 (log.f64 (sqrt.f64 (fma.f64 2 x (/.f64 1/2 x))))))
(+.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x))) 2)) 1) (*.f64 (log.f64 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x)))) 1))
(+.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 2 x (/.f64 1/2 x)))) 1) (*.f64 (log.f64 (sqrt.f64 (fma.f64 2 x (/.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 (pow.f64 (/.f64 1/2 x) 2) (*.f64 (*.f64 2 x) (fma.f64 2 x (/.f64 -1/2 x))))))
(-.f64 (log.f64 (+.f64 (*.f64 4 (*.f64 x x)) (*.f64 (pow.f64 x -2) -1/4))) (log.f64 (fma.f64 2 x (/.f64 -1/2 x))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (fma.f64 2 x (/.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 (pow.f64 (/.f64 1/2 x) 2) (*.f64 (*.f64 2 x) (fma.f64 2 x (/.f64 -1/2 x))))))
(-.f64 (+.f64 0 (log.f64 (+.f64 (*.f64 4 (*.f64 x x)) (*.f64 (pow.f64 x -2) -1/4)))) (log.f64 (fma.f64 2 x (/.f64 -1/2 x))))
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))))) 1)
(*.f64 2 (log.f64 (sqrt.f64 (fma.f64 2 x (/.f64 1/2 x)))))
(*.f64 1 (log.f64 (fma.f64 2 x (/.f64 1/2 x))))
(*.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x))) 1)
(*.f64 (sqrt.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))) (sqrt.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))))
(*.f64 (cbrt.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))) (pow.f64 (cbrt.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))) 2) (cbrt.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x))))) (cbrt.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x))))) (*.f64 (sqrt.f64 (cbrt.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x))))) (cbrt.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x))))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))) 2))))
(*.f64 (*.f64 (cbrt.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))) (sqrt.f64 (cbrt.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))))) (*.f64 (cbrt.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))) (sqrt.f64 (cbrt.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))))))
(pow.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x))) 1)
(pow.f64 (sqrt.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))) 2)
(pow.f64 (cbrt.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))) 3)
(pow.f64 (pow.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x))) 3) 1/3)
(sqrt.f64 (pow.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x))) 2))
(cbrt.f64 (pow.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))))
(exp.f64 (log.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))))
(log1p.f64 (-.f64 (fma.f64 2 x (/.f64 1/2 x)) 1))
Outputs
(/.f64 1/2 x)
(*.f64 2 x)
(*.f64 x 2)
(*.f64 2 x)
(*.f64 x 2)
(+.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))))
(fma.f64 4 (*.f64 x x) (-.f64 (log.f64 1/2) (log.f64 x)))
(-.f64 (fma.f64 (*.f64 x 4) x (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 (fma.f64 4 (*.f64 x x) (-.f64 (log.f64 1/2) (log.f64 x))) (*.f64 -8 (pow.f64 x 4)))
(+.f64 (-.f64 (*.f64 -8 (pow.f64 x 4)) (log.f64 x)) (fma.f64 (*.f64 x 4) x (log.f64 1/2)))
(+.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 (-.f64 (fma.f64 -8 (pow.f64 x 4) (*.f64 64/3 (pow.f64 x 6))) (log.f64 x)) (fma.f64 (*.f64 x 4) x (log.f64 1/2)))
(+.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 (/.f64 1/4 x) x)))
(+.f64 (+.f64 (log.f64 2) (log.f64 x)) (/.f64 (/.f64 1/4 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 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x)))) (/.f64 1/32 (pow.f64 x 4)))
(+.f64 (+.f64 (log.f64 2) (log.f64 x)) (+.f64 (/.f64 (/.f64 1/4 x) x) (/.f64 -1/32 (pow.f64 x 4))))
(+.f64 (log.f64 2) (+.f64 (/.f64 (/.f64 1/4 x) x) (+.f64 (log.f64 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 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (+.f64 (log.f64 2) (/.f64 1/192 (pow.f64 x 6))) (/.f64 1/4 (*.f64 x x)))) (/.f64 1/32 (pow.f64 x 4)))
(+.f64 (log.f64 x) (+.f64 (log.f64 2) (-.f64 (+.f64 (/.f64 (/.f64 1/4 x) x) (/.f64 1/192 (pow.f64 x 6))) (/.f64 1/32 (pow.f64 x 4)))))
(+.f64 (+.f64 (log.f64 2) (log.f64 x)) (+.f64 (/.f64 1/192 (pow.f64 x 6)) (+.f64 (/.f64 (/.f64 1/4 x) x) (/.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)))
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(-.f64 (log.f64 (fma.f64 8 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3)))) (log.f64 (+.f64 (pow.f64 (/.f64 1/2 x) 2) (*.f64 (*.f64 x 2) (fma.f64 2 x (/.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 (*.f64 x 2) (fma.f64 x 2 (/.f64 -1/2 x)) (pow.f64 (/.f64 1/2 x) 2))))
(-.f64 (log.f64 (fma.f64 8 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3)))) (log.f64 (fma.f64 2 (*.f64 x (fma.f64 x 2 (/.f64 -1/2 x))) (/.f64 (/.f64 1/4 x) x))))
(-.f64 (+.f64 0 (log.f64 (+.f64 (*.f64 4 (*.f64 x x)) (*.f64 (pow.f64 x -2) -1/4)))) (log.f64 (fma.f64 2 x (/.f64 -1/2 x))))
(-.f64 (log.f64 (fma.f64 4 (*.f64 x x) (*.f64 (pow.f64 x -2) -1/4))) (log.f64 (fma.f64 2 x (/.f64 -1/2 x))))
(-.f64 (log.f64 (fma.f64 4 (*.f64 x x) (*.f64 (pow.f64 x -2) -1/4))) (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))))) 1)
(log.f64 (fma.f64 x 2 (/.f64 1/2 x)))
(*.f64 2 (log.f64 (sqrt.f64 (fma.f64 2 x (/.f64 1/2 x)))))
(log.f64 (fma.f64 x 2 (/.f64 1/2 x)))
(*.f64 1 (log.f64 (fma.f64 2 x (/.f64 1/2 x))))
(log.f64 (fma.f64 x 2 (/.f64 1/2 x)))
(*.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x))) 1)
(log.f64 (fma.f64 x 2 (/.f64 1/2 x)))
(*.f64 (sqrt.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))) (sqrt.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))))
(log.f64 (fma.f64 x 2 (/.f64 1/2 x)))
(*.f64 (cbrt.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))) (pow.f64 (cbrt.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))) 2))
(log.f64 (fma.f64 x 2 (/.f64 1/2 x)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))) 2) (cbrt.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))))
(log.f64 (fma.f64 x 2 (/.f64 1/2 x)))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x))))) (cbrt.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x))))) (*.f64 (sqrt.f64 (cbrt.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x))))) (cbrt.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x))))))
(log.f64 (fma.f64 x 2 (/.f64 1/2 x)))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 2 x (/.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 2 x (/.f64 1/2 x)))) (sqrt.f64 (cbrt.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))))) (*.f64 (cbrt.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))) (sqrt.f64 (cbrt.f64 (log.f64 (fma.f64 2 x (/.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 2 x (/.f64 1/2 x)))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (fma.f64 2 x (/.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 2 x (/.f64 1/2 x))) 1)
(log.f64 (fma.f64 x 2 (/.f64 1/2 x)))
(pow.f64 (sqrt.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))) 2)
(log.f64 (fma.f64 x 2 (/.f64 1/2 x)))
(pow.f64 (cbrt.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))) 3)
(log.f64 (fma.f64 x 2 (/.f64 1/2 x)))
(pow.f64 (pow.f64 (log.f64 (fma.f64 2 x (/.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 2 x (/.f64 1/2 x))) 2))
(sqrt.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 1/2 x))) 2))
(fabs.f64 (log.f64 (fma.f64 x 2 (/.f64 1/2 x))))
(cbrt.f64 (pow.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x))) 3))
(log.f64 (fma.f64 x 2 (/.f64 1/2 x)))
(expm1.f64 (log1p.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))))
(log.f64 (fma.f64 x 2 (/.f64 1/2 x)))
(exp.f64 (log.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))))
(log.f64 (fma.f64 x 2 (/.f64 1/2 x)))
(log1p.f64 (-.f64 (fma.f64 2 x (/.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))))

localize17.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.01%
(-.f64 (*.f64 x -2) (/.f64 1/2 x))
✓0.12%
(/.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))

rewrite144.0ms (1.5%)

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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simplify250.0ms (2.6%)

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)))
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(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))
(fma.f64 -2 x (/.f64 -1/2 x))
(-.f64 (*.f64 -2 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 -2 x) (/.f64 1/2 x))
(fma.f64 -2 x (/.f64 -1/2 x))
(-.f64 (*.f64 -2 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 -2 x) (/.f64 1/2 x))
(fma.f64 -2 x (/.f64 -1/2 x))
(*.f64 -2 x)
(-.f64 (*.f64 -2 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 -2 x) (/.f64 1/2 x))
(fma.f64 -2 x (/.f64 -1/2 x))
(-.f64 (*.f64 -2 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 -2 x) (/.f64 1/2 x))
(fma.f64 -2 x (/.f64 -1/2 x))
(-.f64 (*.f64 -2 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 -2 x) (/.f64 1/2 x))
(fma.f64 -2 x (/.f64 -1/2 x))
(*.f64 -2 x)
(-.f64 (*.f64 -2 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 -2 x) (/.f64 1/2 x))
(fma.f64 -2 x (/.f64 -1/2 x))
(-.f64 (*.f64 -2 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 -2 x) (/.f64 1/2 x))
(fma.f64 -2 x (/.f64 -1/2 x))
(-.f64 (*.f64 -2 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 -2 x) (/.f64 1/2 x))
(fma.f64 -2 x (/.f64 -1/2 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 (fma.f64 x -2 (/.f64 1/2 x)) (fma.f64 4 (*.f64 x x) (neg.f64 (/.f64 (/.f64 1/4 x) x))))
(/.f64 (fma.f64 -2 x (/.f64 1/2 x)) (fma.f64 4 (*.f64 x x) (/.f64 -1/4 (*.f64 x 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 (fma.f64 x -2 (/.f64 1/2 x)) (fma.f64 4 (*.f64 x x) (neg.f64 (/.f64 (/.f64 1/4 x) x))))
(/.f64 (fma.f64 -2 x (/.f64 1/2 x)) (fma.f64 4 (*.f64 x x) (/.f64 -1/4 (*.f64 x x))))
(+.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 (fma.f64 4 (*.f64 x x) (*.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x)))) (fma.f64 -8 (pow.f64 x 3) (pow.f64 (/.f64 -1/2 x) 3)))
(/.f64 (fma.f64 4 (*.f64 x x) (*.f64 (/.f64 1/2 x) (fma.f64 -2 x (/.f64 1/2 x)))) (fma.f64 (pow.f64 x 3) -8 (/.f64 -1/8 (pow.f64 x 3))))
(+.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 (fma.f64 4 (*.f64 x x) (*.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x)))) (fma.f64 -8 (pow.f64 x 3) (pow.f64 (/.f64 -1/2 x) 3)))
(/.f64 (fma.f64 4 (*.f64 x x) (*.f64 (/.f64 1/2 x) (fma.f64 -2 x (/.f64 1/2 x)))) (fma.f64 (pow.f64 x 3) -8 (/.f64 -1/8 (pow.f64 x 3))))
(+.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 1 (fma.f64 -8 (pow.f64 x 3) (pow.f64 (/.f64 -1/2 x) 3))) (+.f64 (+.f64 (*.f64 4 (*.f64 x x)) (/.f64 (/.f64 1/4 x) x)) (*.f64 x (/.f64 -1 x))))
(/.f64 (*.f64 1 (+.f64 (fma.f64 4 (*.f64 x x) (/.f64 (/.f64 1/4 x) x)) (/.f64 (neg.f64 x) x))) (fma.f64 (pow.f64 x 3) -8 (/.f64 -1/8 (pow.f64 x 3))))
(+.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 (fma.f64 x -2 (/.f64 1/2 x)) (fma.f64 4 (*.f64 x x) (neg.f64 (/.f64 (/.f64 1/4 x) x))))
(/.f64 (fma.f64 -2 x (/.f64 1/2 x)) (fma.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 (fma.f64 x -2 (/.f64 1/2 x)) (fma.f64 4 (*.f64 x x) (neg.f64 (/.f64 (/.f64 1/4 x) x))))
(/.f64 (fma.f64 -2 x (/.f64 1/2 x)) (fma.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 (fma.f64 4 (*.f64 x x) (*.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x)))) (fma.f64 -8 (pow.f64 x 3) (pow.f64 (/.f64 -1/2 x) 3)))
(/.f64 (fma.f64 4 (*.f64 x x) (*.f64 (/.f64 1/2 x) (fma.f64 -2 x (/.f64 1/2 x)))) (fma.f64 (pow.f64 x 3) -8 (/.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 (fma.f64 4 (*.f64 x x) (*.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x)))) (fma.f64 -8 (pow.f64 x 3) (pow.f64 (/.f64 -1/2 x) 3)))
(/.f64 (fma.f64 4 (*.f64 x x) (*.f64 (/.f64 1/2 x) (fma.f64 -2 x (/.f64 1/2 x)))) (fma.f64 (pow.f64 x 3) -8 (/.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 (/.f64 1 (fma.f64 -8 (pow.f64 x 3) (pow.f64 (/.f64 -1/2 x) 3))) (+.f64 (+.f64 (*.f64 4 (*.f64 x x)) (/.f64 (/.f64 1/4 x) x)) (*.f64 x (/.f64 -1 x))))
(/.f64 (*.f64 1 (+.f64 (fma.f64 4 (*.f64 x x) (/.f64 (/.f64 1/4 x) x)) (/.f64 (neg.f64 x) x))) (fma.f64 (pow.f64 x 3) -8 (/.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 (fma.f64 -2 x (/.f64 -1/2 x)))
(*.f64 1 (/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x))))
(/.f64 1 (fma.f64 -2 x (/.f64 -1/2 x)))
(*.f64 (/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x))) 1)
(/.f64 1 (fma.f64 -2 x (/.f64 -1/2 x)))
(*.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 1 (fma.f64 -2 x (/.f64 -1/2 x)))
(*.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 (/.f64 1 (fma.f64 -2 x (/.f64 -1/2 x)))) (cbrt.f64 (pow.f64 (fma.f64 -2 x (/.f64 -1/2 x)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x -2 (/.f64 -1/2 x)) -2)) (cbrt.f64 (/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x)))))
(*.f64 (cbrt.f64 (/.f64 1 (fma.f64 -2 x (/.f64 -1/2 x)))) (cbrt.f64 (pow.f64 (fma.f64 -2 x (/.f64 -1/2 x)) -2)))
(*.f64 (fma.f64 x -2 (/.f64 1/2 x)) (/.f64 1 (-.f64 (*.f64 4 (*.f64 x x)) (/.f64 1/4 (*.f64 x x)))))
(/.f64 (fma.f64 x -2 (/.f64 1/2 x)) (fma.f64 4 (*.f64 x x) (neg.f64 (/.f64 (/.f64 1/4 x) x))))
(/.f64 (fma.f64 -2 x (/.f64 1/2 x)) (fma.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 (fma.f64 4 (*.f64 x x) (*.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x)))) (fma.f64 -8 (pow.f64 x 3) (pow.f64 (/.f64 -1/2 x) 3)))
(/.f64 (fma.f64 4 (*.f64 x x) (*.f64 (/.f64 1/2 x) (fma.f64 -2 x (/.f64 1/2 x)))) (fma.f64 (pow.f64 x 3) -8 (/.f64 -1/8 (pow.f64 x 3))))
(*.f64 -1 (/.f64 -1 (fma.f64 x -2 (/.f64 -1/2 x))))
(/.f64 1 (fma.f64 -2 x (/.f64 -1/2 x)))
(*.f64 (/.f64 -1 (fma.f64 x -2 (/.f64 -1/2 x))) -1)
(/.f64 1 (fma.f64 -2 x (/.f64 -1/2 x)))
(*.f64 (/.f64 1 (-.f64 (*.f64 4 (*.f64 x x)) (/.f64 1/4 (*.f64 x x)))) (fma.f64 x -2 (/.f64 1/2 x)))
(/.f64 (fma.f64 x -2 (/.f64 1/2 x)) (fma.f64 4 (*.f64 x x) (neg.f64 (/.f64 (/.f64 1/4 x) x))))
(/.f64 (fma.f64 -2 x (/.f64 1/2 x)) (fma.f64 4 (*.f64 x x) (/.f64 -1/4 (*.f64 x 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 (fma.f64 4 (*.f64 x x) (*.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x)))) (fma.f64 -8 (pow.f64 x 3) (pow.f64 (/.f64 -1/2 x) 3)))
(/.f64 (fma.f64 4 (*.f64 x x) (*.f64 (/.f64 1/2 x) (fma.f64 -2 x (/.f64 1/2 x)))) (fma.f64 (pow.f64 x 3) -8 (/.f64 -1/8 (pow.f64 x 3))))
(*.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 1 (fma.f64 -2 x (/.f64 -1/2 x)))
(*.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 1 (fma.f64 -2 x (/.f64 -1/2 x)))
(*.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 1 (fma.f64 -2 x (/.f64 -1/2 x)))
(*.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 (fma.f64 x -2 (/.f64 1/2 x)) (fma.f64 4 (*.f64 x x) (neg.f64 (/.f64 (/.f64 1/4 x) x))))
(/.f64 (fma.f64 -2 x (/.f64 1/2 x)) (fma.f64 4 (*.f64 x x) (/.f64 -1/4 (*.f64 x x))))
(*.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 (fma.f64 4 (*.f64 x x) (*.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x)))) (fma.f64 -8 (pow.f64 x 3) (pow.f64 (/.f64 -1/2 x) 3)))
(/.f64 (fma.f64 4 (*.f64 x x) (*.f64 (/.f64 1/2 x) (fma.f64 -2 x (/.f64 1/2 x)))) (fma.f64 (pow.f64 x 3) -8 (/.f64 -1/8 (pow.f64 x 3))))
(*.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 (fma.f64 4 (*.f64 x x) (*.f64 (/.f64 -1/2 x) (-.f64 (/.f64 -1/2 x) (*.f64 -2 x)))) (fma.f64 -8 (pow.f64 x 3) (pow.f64 (/.f64 -1/2 x) 3)))
(/.f64 (fma.f64 (/.f64 -1/2 x) (fma.f64 x 2 (/.f64 -1/2 x)) (*.f64 x (*.f64 x 4))) (fma.f64 (pow.f64 x 3) -8 (/.f64 -1/8 (pow.f64 x 3))))
(*.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))))
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(/.f64 (fma.f64 4 (*.f64 x x) (/.f64 -1/4 (*.f64 x x))) (fma.f64 -2 x (/.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 (fma.f64 -8 (pow.f64 x 3) (pow.f64 (/.f64 -1/2 x) 3)) (fma.f64 4 (*.f64 x x) (*.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x)))))
(/.f64 (fma.f64 (pow.f64 x 3) -8 (/.f64 -1/8 (pow.f64 x 3))) (fma.f64 4 (*.f64 x x) (*.f64 (/.f64 1/2 x) (fma.f64 -2 x (/.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 (fma.f64 -8 (pow.f64 x 3) (pow.f64 (/.f64 -1/2 x) 3)) (fma.f64 4 (*.f64 x x) (*.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x)))))
(/.f64 (fma.f64 (pow.f64 x 3) -8 (/.f64 -1/8 (pow.f64 x 3))) (fma.f64 4 (*.f64 x x) (*.f64 (/.f64 1/2 x) (fma.f64 -2 x (/.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 (fma.f64 4 (*.f64 x x) (neg.f64 (/.f64 (/.f64 1/4 x) x))) (fma.f64 x -2 (/.f64 1/2 x)))
(/.f64 (fma.f64 4 (*.f64 x x) (/.f64 -1/4 (*.f64 x x))) (fma.f64 -2 x (/.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)))))
(/.f64 (fma.f64 -8 (pow.f64 x 3) (pow.f64 (/.f64 -1/2 x) 3)) (fma.f64 4 (*.f64 x x) (*.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x)))))
(/.f64 (fma.f64 (pow.f64 x 3) -8 (/.f64 -1/8 (pow.f64 x 3))) (fma.f64 4 (*.f64 x x) (*.f64 (/.f64 1/2 x) (fma.f64 -2 x (/.f64 1/2 x)))))
(pow.f64 (fma.f64 x -2 (/.f64 -1/2 x)) 1)
(-.f64 (*.f64 -2 x) (/.f64 1/2 x))
(fma.f64 -2 x (/.f64 -1/2 x))
(pow.f64 (sqrt.f64 (fma.f64 x -2 (/.f64 -1/2 x))) 2)
(-.f64 (*.f64 -2 x) (/.f64 1/2 x))
(fma.f64 -2 x (/.f64 -1/2 x))
(pow.f64 (cbrt.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))
(pow.f64 (pow.f64 (fma.f64 x -2 (/.f64 -1/2 x)) 3) 1/3)
(-.f64 (*.f64 -2 x) (/.f64 1/2 x))
(fma.f64 -2 x (/.f64 -1/2 x))
(neg.f64 (+.f64 (/.f64 1/2 x) (*.f64 x 2)))
(-.f64 (*.f64 -2 x) (/.f64 1/2 x))
(fma.f64 -2 x (/.f64 -1/2 x))
(neg.f64 (/.f64 (-.f64 (*.f64 4 (*.f64 x x)) (/.f64 1/4 (*.f64 x x))) (+.f64 (/.f64 -1/2 x) (*.f64 x 2))))
(/.f64 (fma.f64 4 (*.f64 x x) (neg.f64 (/.f64 (/.f64 1/4 x) x))) (fma.f64 x -2 (/.f64 1/2 x)))
(/.f64 (fma.f64 4 (*.f64 x x) (/.f64 -1/4 (*.f64 x x))) (fma.f64 -2 x (/.f64 1/2 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)))))))
(/.f64 (fma.f64 -8 (pow.f64 x 3) (pow.f64 (/.f64 -1/2 x) 3)) (fma.f64 4 (*.f64 x x) (*.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x)))))
(/.f64 (fma.f64 (pow.f64 x 3) -8 (/.f64 -1/8 (pow.f64 x 3))) (fma.f64 4 (*.f64 x x) (*.f64 (/.f64 1/2 x) (fma.f64 -2 x (/.f64 1/2 x)))))
(sqrt.f64 (pow.f64 (fma.f64 x -2 (/.f64 -1/2 x)) 2))
(sqrt.f64 (pow.f64 (fma.f64 -2 x (/.f64 -1/2 x)) 2))
(fabs.f64 (fma.f64 -2 x (/.f64 -1/2 x)))
(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))

localize40.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.05%
(sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
✓0.21%
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)
1.45%
(+.f64 x (hypot.f64 1 x))
3.94%
(log.f64 (+.f64 x (hypot.f64 1 x)))
Compiler

Compiled 34 to 24 computations (29.4% saved)

series5.0ms (0%)

Counts
2 → 16
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)
1.0ms
x
@-inf
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)
1.0ms
x
@0
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)
1.0ms
x
@inf
(sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
0.0ms
x
@-inf
(sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))

rewrite65.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
1880×add-sqr-sqrt
1860×*-un-lft-identity
1734×add-cube-cbrt
1718×add-cbrt-cube
190×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01138
122238
2239138
Stop Event
1×node limit
Counts
2 → 46
Calls
Call 1
Inputs
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)
(sqrt.f64 (log.f64 (+.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 (*.f64 x x) (+.f64 1 (*.f64 x x)))) (log.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 (exp.f64 (log1p.f64 (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 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/4) (*.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/4) (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 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (*.f64 (cbrt.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 (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 *.f64 (*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/4)) (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))))) (#(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 log.f64 (+.f64 x (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (-.f64 (+.f64 x (hypot.f64 1 x)) 1)))))) (#(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 (exp.f64 (log1p.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/4) (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) 1/2) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.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))) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.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)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))))))

simplify110.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
1316×associate-+r-
974×fma-def
802×times-frac
722×unswap-sqr
692×associate-/r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02103322
15122992
218042714
374552714
Stop Event
1×node limit
Counts
62 → 111
Calls
Call 1
Inputs
(+.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 -1 (/.f64 (+.f64 3/32 (pow.f64 (*.f64 1/8 (sqrt.f64 (/.f64 1 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))))) 2)) (pow.f64 x 4))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (+.f64 (*.f64 1/64 (/.f64 1 (*.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) (pow.f64 x 4)))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 3/32 (pow.f64 (*.f64 1/8 (sqrt.f64 (/.f64 1 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))))) 2)) (pow.f64 x 4))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 1/64 (/.f64 1 (*.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) (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 (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 (*.f64 -1/8 (/.f64 (-.f64 3/32 (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))))) 2)) (*.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (pow.f64 x 6)))) (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 -1 (/.f64 (+.f64 5/96 (*.f64 -1/8 (/.f64 (-.f64 3/32 (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))))) 2)) (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))))) (pow.f64 x 6))))))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(sqrt.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))))
(+.f64 (*.f64 1/8 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))))) (/.f64 1 (pow.f64 x 2)))) (sqrt.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))))
(+.f64 (*.f64 -1/2 (*.f64 (/.f64 (+.f64 3/32 (pow.f64 (*.f64 1/8 (sqrt.f64 (/.f64 1 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))))) 2)) (pow.f64 x 4)) (sqrt.f64 (/.f64 1 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))))))) (+.f64 (*.f64 1/8 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))))) (/.f64 1 (pow.f64 x 2)))) (sqrt.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))))))
(+.f64 (*.f64 -1/2 (*.f64 (/.f64 (+.f64 3/32 (pow.f64 (*.f64 1/8 (sqrt.f64 (/.f64 1 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))))) 2)) (pow.f64 x 4)) (sqrt.f64 (/.f64 1 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))))))) (+.f64 (*.f64 1/2 (*.f64 (/.f64 (-.f64 5/96 (*.f64 -1/8 (/.f64 (+.f64 3/32 (pow.f64 (*.f64 1/8 (sqrt.f64 (/.f64 1 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))))) 2)) (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))))) (pow.f64 x 6)) (sqrt.f64 (/.f64 1 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))))))) (+.f64 (*.f64 1/8 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))))) (/.f64 1 (pow.f64 x 2)))) (sqrt.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))))))
(sqrt.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)))
(+.f64 (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)))) (/.f64 1 (pow.f64 x 2)))))
(+.f64 (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) (+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)))) (/.f64 1 (pow.f64 x 2)))) (*.f64 1/2 (*.f64 (/.f64 (-.f64 3/32 (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))))) 2)) (pow.f64 x 4)) (sqrt.f64 (/.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))))))))
(+.f64 (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) (+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)))) (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 1/2 (*.f64 (/.f64 (-.f64 3/32 (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))))) 2)) (pow.f64 x 4)) (sqrt.f64 (/.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)))))) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)))) (/.f64 (+.f64 5/96 (*.f64 -1/8 (/.f64 (-.f64 3/32 (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))))) 2)) (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))))) (pow.f64 x 6)))))))
(+.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(-.f64 (log.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x)))) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (log.f64 (+.f64 (pow.f64 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 (exp.f64 (log1p.f64 (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 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/4) (*.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/4) (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 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (*.f64 (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (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)))))
(*.f64 (*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/4)) (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/4))
(*.f64 (*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (sqrt.f64 (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)))
(log.f64 (+.f64 1 (-.f64 (+.f64 x (hypot.f64 1 x)) 1)))
(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 (exp.f64 (log1p.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) 1)
(*.f64 1 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(*.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/4) (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/4))
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) 1/2) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1/2))
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/2)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/4) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(exp.f64 (log.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
Outputs
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x))))
(+.f64 (log.f64 2) (+.f64 (log.f64 x) (/.f64 1/4 (*.f64 x x))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 3/32 (pow.f64 (*.f64 1/8 (sqrt.f64 (/.f64 1 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))))) 2)) (pow.f64 x 4))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (+.f64 (*.f64 1/64 (/.f64 1 (*.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) (pow.f64 x 4)))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))))
(fma.f64 -1 (/.f64 (+.f64 3/32 (pow.f64 (*.f64 1/8 (sqrt.f64 (/.f64 1 (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))))) 2)) (pow.f64 x 4)) (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/64 (*.f64 (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x)))) (pow.f64 x 4)))))))
(-.f64 (+.f64 (log.f64 2) (+.f64 (log.f64 x) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/64 (*.f64 (+.f64 (log.f64 2) (log.f64 x)) (pow.f64 x 4)))))) (/.f64 (+.f64 3/32 (pow.f64 (*.f64 1/8 (sqrt.f64 (/.f64 1 (+.f64 (log.f64 2) (log.f64 x))))) 2)) (pow.f64 x 4)))
(+.f64 (log.f64 2) (-.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (+.f64 (/.f64 1/64 (*.f64 (+.f64 (log.f64 2) (log.f64 x)) (pow.f64 x 4))) (log.f64 x))) (/.f64 (+.f64 3/32 (/.f64 1/64 (+.f64 (log.f64 2) (log.f64 x)))) (pow.f64 x 4))))
(+.f64 (+.f64 (log.f64 2) (log.f64 x)) (-.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/64 (*.f64 (+.f64 (log.f64 2) (log.f64 x)) (pow.f64 x 4)))) (/.f64 (+.f64 3/32 (/.f64 1/64 (+.f64 (log.f64 2) (log.f64 x)))) (pow.f64 x 4))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 3/32 (pow.f64 (*.f64 1/8 (sqrt.f64 (/.f64 1 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))))) 2)) (pow.f64 x 4))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 1/64 (/.f64 1 (*.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) (pow.f64 x 4)))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))))))
(fma.f64 -1 (/.f64 (+.f64 3/32 (pow.f64 (*.f64 1/8 (sqrt.f64 (/.f64 1 (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))))) 2)) (pow.f64 x 4)) (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (+.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/64 (*.f64 (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x)))) (pow.f64 x 4)))) (/.f64 5/96 (pow.f64 x 6))))))
(-.f64 (+.f64 (log.f64 x) (+.f64 (+.f64 (+.f64 (log.f64 2) (/.f64 5/96 (pow.f64 x 6))) (/.f64 1/4 (*.f64 x x))) (/.f64 1/64 (*.f64 (+.f64 (log.f64 2) (log.f64 x)) (pow.f64 x 4))))) (/.f64 (+.f64 3/32 (pow.f64 (*.f64 1/8 (sqrt.f64 (/.f64 1 (+.f64 (log.f64 2) (log.f64 x))))) 2)) (pow.f64 x 4)))
(+.f64 (log.f64 2) (+.f64 (log.f64 x) (+.f64 (/.f64 5/96 (pow.f64 x 6)) (-.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/64 (*.f64 (+.f64 (log.f64 2) (log.f64 x)) (pow.f64 x 4)))) (/.f64 (+.f64 3/32 (/.f64 1/64 (+.f64 (log.f64 2) (log.f64 x)))) (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 1/2) (+.f64 (log.f64 (/.f64 -1 x)) (/.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 (log.f64 1/2) (/.f64 3/32 (pow.f64 x 4))) (/.f64 1/4 (*.f64 x x))))
(+.f64 (+.f64 (log.f64 1/2) (/.f64 3/32 (pow.f64 x 4))) (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 -1/4 (*.f64 x x))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (/.f64 -1/4 (*.f64 x x)))))
(-.f64 (+.f64 (*.f64 -1/8 (/.f64 (-.f64 3/32 (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))))) 2)) (*.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (pow.f64 x 6)))) (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 -1 (/.f64 (+.f64 5/96 (*.f64 -1/8 (/.f64 (-.f64 3/32 (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))))) 2)) (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))))) (pow.f64 x 6))))))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 -1/8 (/.f64 (-.f64 3/32 (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))))) 2)) (*.f64 (pow.f64 x 6) (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)))) (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (neg.f64 (/.f64 (+.f64 5/96 (*.f64 -1/8 (/.f64 (-.f64 3/32 (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))))) 2)) (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))))) (pow.f64 x 6))))))) (/.f64 1/4 (*.f64 x x)))
(+.f64 (+.f64 (+.f64 (log.f64 1/2) (-.f64 (/.f64 3/32 (pow.f64 x 4)) (/.f64 (fma.f64 -1/8 (/.f64 (-.f64 3/32 (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))))) 2)) (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) 5/96) (pow.f64 x 6)))) (fma.f64 -1/8 (/.f64 (-.f64 3/32 (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))))) 2)) (*.f64 (pow.f64 x 6) (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)))) (log.f64 (/.f64 -1 x)))) (/.f64 -1/4 (*.f64 x x)))
(+.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (+.f64 (-.f64 (/.f64 3/32 (pow.f64 x 4)) (/.f64 (fma.f64 -1/8 (/.f64 (+.f64 3/32 (*.f64 (/.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) -1/64)) (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) 5/96) (pow.f64 x 6))) (fma.f64 -1/8 (/.f64 (+.f64 3/32 (*.f64 (/.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) -1/64)) (*.f64 (pow.f64 x 6) (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)))) (/.f64 -1/4 (*.f64 x x)))))
(sqrt.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))))
(sqrt.f64 (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x)))))
(sqrt.f64 (+.f64 (log.f64 2) (log.f64 x)))
(+.f64 (*.f64 1/8 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))))) (/.f64 1 (pow.f64 x 2)))) (sqrt.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))))
(fma.f64 1/8 (*.f64 (/.f64 1 (*.f64 x x)) (sqrt.f64 (/.f64 1 (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))))) (sqrt.f64 (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))))
(fma.f64 1/8 (/.f64 (sqrt.f64 (/.f64 1 (+.f64 (log.f64 2) (log.f64 x)))) (*.f64 x x)) (sqrt.f64 (+.f64 (log.f64 2) (log.f64 x))))
(+.f64 (*.f64 -1/2 (*.f64 (/.f64 (+.f64 3/32 (pow.f64 (*.f64 1/8 (sqrt.f64 (/.f64 1 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))))) 2)) (pow.f64 x 4)) (sqrt.f64 (/.f64 1 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))))))) (+.f64 (*.f64 1/8 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))))) (/.f64 1 (pow.f64 x 2)))) (sqrt.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))))))
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(sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(exp.f64 (log.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1/2))
(sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1))
(sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(log1p.f64 (expm1.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))

eval853.0ms (8.9%)

Compiler

Compiled 24639 to 18859 computations (23.5% saved)

prune381.0ms (4%)

Pruning

12 alts after pruning (4 fresh and 8 done)

PrunedKeptTotal
New104731050
Fresh011
Picked101
Done2810
Total1050121062
Error
0%
Counts
1062 → 12
Alt Table
Click to see full alt table
StatusErrorProgram
✓50.53%
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x))
✓51.08%
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
▶69.23%
(neg.f64 (*.f64 2 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))))
✓69.2%
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
▶73.87%
(neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x))))
▶69.2%
(neg.f64 (log.f64 (+.f64 x (-.f64 (hypot.f64 1 x) (+.f64 x x)))))
✓69.22%
(log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))
✓74.74%
(log.f64 (/.f64 -1/2 x))
✓73.1%
(log.f64 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))))
✓68.55%
(log.f64 (+.f64 x (hypot.f64 1 x)))
✓74.05%
(log.f64 (+.f64 x x))
49%
x
Compiler

Compiled 102 to 77 computations (24.5% saved)

localize18.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.03%
(-.f64 (hypot.f64 1 x) (+.f64 x x))
✓0.76%
(+.f64 x (-.f64 (hypot.f64 1 x) (+.f64 x x)))
✓3.95%
(log.f64 (+.f64 x (-.f64 (hypot.f64 1 x) (+.f64 x x))))
Compiler

Compiled 46 to 23 computations (50% saved)

series1.0ms (0%)

Counts
3 → 36
Calls

9 calls:

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

rewrite145.0ms (1.5%)

Algorithm
1×batch-egg-rewrite
Rules
1496×associate-*r/
948×*-commutative
928×associate-*l/
482×associate-/r*
418×associate-+l+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01073
122061
233169
Stop Event
1×node limit
Counts
3 → 201
Calls
Call 1
Inputs
(log.f64 (+.f64 x (-.f64 (hypot.f64 1 x) (+.f64 x x))))
(+.f64 x (-.f64 (hypot.f64 1 x) (+.f64 x x)))
(-.f64 (hypot.f64 1 x) (+.f64 x x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x . 0)))))
((#(struct:change #<rule egg-rr> (2) ((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 1 (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (cbrt.f64 x) (neg.f64 (pow.f64 (cbrt.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (*.f64 x x) (*.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 x (fma.f64 0 1 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (neg.f64 x) (fma.f64 0 1 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (*.f64 x -1) (fma.f64 0 1 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x))) (fma.f64 0 1 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (*.f64 (cbrt.f64 x) (neg.f64 (pow.f64 (cbrt.f64 x) 2))) (fma.f64 0 1 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 x (fma.f64 0 0 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (neg.f64 x) (fma.f64 0 0 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (*.f64 x -1) (fma.f64 0 0 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x))) (fma.f64 0 0 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (*.f64 (cbrt.f64 x) (neg.f64 (pow.f64 (cbrt.f64 x) 2))) (fma.f64 0 0 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 x (fma.f64 (neg.f64 x) 2 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (neg.f64 x) (fma.f64 (neg.f64 x) 2 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (*.f64 x -1) (fma.f64 (neg.f64 x) 2 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x))) (fma.f64 (neg.f64 x) 2 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (*.f64 (cbrt.f64 x) (neg.f64 (pow.f64 (cbrt.f64 x) 2))) (fma.f64 (neg.f64 x) 2 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (fma.f64 (neg.f64 x) 1 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (fma.f64 (neg.f64 x) 1 x) (*.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (*.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) (*.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (fma.f64 (neg.f64 x) 1 x) (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (fma.f64 (neg.f64 x) 1 x) (*.f64 (cbrt.f64 x) (neg.f64 (pow.f64 (cbrt.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (*.f64 (cbrt.f64 x) (neg.f64 (pow.f64 (cbrt.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) (*.f64 (cbrt.f64 x) (neg.f64 (pow.f64 (cbrt.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (fma.f64 (neg.f64 x) 1 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (fma.f64 (neg.f64 x) 1 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x 1) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x 1) (fma.f64 (neg.f64 (+.f64 x 1)) x (*.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x 1) (fma.f64 0 1 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x 1) (fma.f64 0 0 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x 1) (fma.f64 (neg.f64 x) 2 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x 1) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x 1) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x 1) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x 1) (+.f64 0 (fma.f64 0 1 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x 1) (+.f64 (fma.f64 0 1 0) (fma.f64 0 1 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x 1) (+.f64 (fma.f64 0 0 0) (fma.f64 0 1 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x 1) (+.f64 (fma.f64 (neg.f64 x) 2 0) (fma.f64 0 1 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x 1) (+.f64 0 (fma.f64 0 0 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x 1) (+.f64 (fma.f64 0 1 0) (fma.f64 0 0 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x 1) (+.f64 (fma.f64 0 0 0) (fma.f64 0 0 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x 1) (+.f64 (fma.f64 (neg.f64 x) 2 0) (fma.f64 0 0 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x 1) (+.f64 0 (fma.f64 (neg.f64 x) 2 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x 1) (+.f64 (fma.f64 0 1 0) (fma.f64 (neg.f64 x) 2 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x 1) (+.f64 (fma.f64 0 0 0) (fma.f64 (neg.f64 x) 2 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x 1) (+.f64 (fma.f64 (neg.f64 x) 2 0) (fma.f64 (neg.f64 x) 2 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x 1) (+.f64 (*.f64 x -1) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x 1) (+.f64 (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x))) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x 1) (+.f64 (*.f64 (cbrt.f64 x) (neg.f64 (pow.f64 (cbrt.f64 x) 2))) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x 1) (+.f64 (neg.f64 x) (*.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x 1) (+.f64 (*.f64 x -1) (*.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x 1) (+.f64 (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x))) (*.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x 1) (+.f64 (*.f64 (cbrt.f64 x) (neg.f64 (pow.f64 (cbrt.f64 x) 2))) (*.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x 1) (+.f64 (neg.f64 x) (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x 1) (+.f64 (*.f64 x -1) (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x 1) (+.f64 (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x))) (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x 1) (+.f64 (*.f64 (cbrt.f64 x) (neg.f64 (pow.f64 (cbrt.f64 x) 2))) (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x 1) (+.f64 (neg.f64 x) (*.f64 (cbrt.f64 x) (neg.f64 (pow.f64 (cbrt.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x 1) (+.f64 (*.f64 x -1) (*.f64 (cbrt.f64 x) (neg.f64 (pow.f64 (cbrt.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x 1) (+.f64 (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x))) (*.f64 (cbrt.f64 x) (neg.f64 (pow.f64 (cbrt.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x 1) (+.f64 (*.f64 (cbrt.f64 x) (neg.f64 (pow.f64 (cbrt.f64 x) 2))) (*.f64 (cbrt.f64 x) (neg.f64 (pow.f64 (cbrt.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x 1) (+.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x 1) (+.f64 (*.f64 x -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x 1) (+.f64 (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x))) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x 1) (+.f64 (*.f64 (cbrt.f64 x) (neg.f64 (pow.f64 (cbrt.f64 x) 2))) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x 1) (+.f64 (fma.f64 (neg.f64 (+.f64 x 1)) x (*.f64 x (+.f64 x 1))) (fma.f64 (neg.f64 (+.f64 x 1)) x (*.f64 x (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x 1) (-.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x 1) (-.f64 (*.f64 x -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x 1) (-.f64 (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x))) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x 1) (-.f64 (*.f64 (cbrt.f64 x) (neg.f64 (pow.f64 (cbrt.f64 x) 2))) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (*.f64 x x)) (*.f64 (+.f64 x 1) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (*.f64 x x)) (neg.f64 (*.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (*.f64 x x)) (+.f64 (fma.f64 0 0 0) (*.f64 (+.f64 x 1) (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (*.f64 x x)) (+.f64 0 (*.f64 (+.f64 x 1) (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (*.f64 x x)) (+.f64 (*.f64 (+.f64 x 1) 0) (*.f64 (+.f64 x 1) 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x 1) (+.f64 x 1) (neg.f64 (*.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (cbrt.f64 (+.f64 x 1)) 0)))))

simplify140.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
1228×+-commutative
930×associate-+r-
888×times-frac
828×fma-def
684×associate-+l+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05205593
115814455
276684439
Stop Event
1×node limit
Counts
237 → 333
Calls
Call 1
Inputs
(*.f64 -1 x)
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 -1 x))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1 x) (*.f64 -3/40 (pow.f64 x 5))))
(+.f64 (*.f64 5/112 (pow.f64 x 7)) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1 x) (*.f64 -3/40 (pow.f64 x 5)))))
(+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))
(-.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 (/.f64 1 x)) (+.f64 (log.f64 1/2) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 (/.f64 1 x)) (+.f64 (log.f64 1/2) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
1
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1 x) (*.f64 -1/8 (pow.f64 x 4)))))
(/.f64 1/2 x)
(-.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 5/128 (/.f64 1 (pow.f64 x 7)))))
(*.f64 -2 x)
(-.f64 (*.f64 -2 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -2 x) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -2 x) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/16 (/.f64 1 (pow.f64 x 5)))))
1
(+.f64 1 (*.f64 -2 x))
(+.f64 1 (+.f64 (*.f64 -2 x) (*.f64 1/2 (pow.f64 x 2))))
(+.f64 1 (+.f64 (*.f64 -2 x) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/8 (pow.f64 x 4)))))
(*.f64 -1 x)
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(/.f64 (*.f64 (-.f64 (*.f64 (+.f64 x 1) (pow.f64 (+.f64 x 1) 3)) 0) (/.f64 1 (+.f64 x 1))) (+.f64 1 (*.f64 x x)))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 1 (*.f64 x x)) 3) 0) (/.f64 1 (+.f64 x 1))) (+.f64 (+.f64 (*.f64 (+.f64 x 1) (pow.f64 (+.f64 x 1) 3)) 0) (*.f64 (+.f64 1 (*.f64 x x)) 0)))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (+.f64 x 1) 3)) 0) (/.f64 1 (+.f64 1 (*.f64 x x)))) (pow.f64 (+.f64 x 1) 3))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 x 1) 3) 3) 0) (/.f64 1 (+.f64 1 (*.f64 x x)))) (+.f64 (*.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (+.f64 x 1) 3)) (+.f64 0 (*.f64 0 (pow.f64 (+.f64 x 1) 3)))))
(/.f64 (*.f64 (*.f64 (fma.f64 x x (+.f64 x 1)) (fma.f64 x x (+.f64 x 1))) (+.f64 x 1)) (*.f64 (fma.f64 x x (+.f64 x 1)) (fma.f64 x x (+.f64 x 1))))
(/.f64 (*.f64 (*.f64 -1 (fma.f64 x x (+.f64 x 1))) (+.f64 x 1)) (*.f64 -1 (fma.f64 x x (+.f64 x 1))))
(/.f64 (/.f64 (+.f64 1 (*.f64 x x)) (cbrt.f64 (+.f64 x 1))) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2))
(/.f64 (/.f64 (+.f64 1 (*.f64 x x)) (+.f64 1 (*.f64 x x))) (/.f64 1 (+.f64 x 1)))
(/.f64 (/.f64 (+.f64 1 (*.f64 x x)) (+.f64 (sqrt.f64 (+.f64 x 1)) 0)) (-.f64 (sqrt.f64 (+.f64 x 1)) 0))
(/.f64 (/.f64 (pow.f64 (+.f64 x 1) 3) (*.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2))) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2))
(pow.f64 (+.f64 x 1) 1)
(pow.f64 (sqrt.f64 (+.f64 x 1)) 2)
(pow.f64 (cbrt.f64 (+.f64 x 1)) 3)
(pow.f64 (+.f64 1 (*.f64 x x)) 1/2)
(pow.f64 (pow.f64 (+.f64 x 1) 3) 1/3)
(sqrt.f64 (+.f64 1 (*.f64 x x)))
(log.f64 (exp.f64 (+.f64 x 1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x 1))))
(cbrt.f64 (pow.f64 (+.f64 x 1) 3))
(expm1.f64 (log.f64 (+.f64 2 x)))
(hypot.f64 1 x)
(exp.f64 (log1p.f64 x))
(log1p.f64 (expm1.f64 (+.f64 x 1)))
(fma.f64 1 (+.f64 x 1) 0)
(fma.f64 (+.f64 x 1) (+.f64 x 1) (neg.f64 (*.f64 x (+.f64 x 1))))
(fma.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1)) 0)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (cbrt.f64 (+.f64 x 1)) 0)
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)) (+.f64 (*.f64 -1 x) (*.f64 -3/40 (pow.f64 x 5))))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1 x (*.f64 -3/40 (pow.f64 x 5))))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 -3/40 (pow.f64 x 5) (neg.f64 x)))
(+.f64 (*.f64 5/112 (pow.f64 x 7)) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1 x) (*.f64 -3/40 (pow.f64 x 5)))))
(fma.f64 5/112 (pow.f64 x 7) (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1 x (*.f64 -3/40 (pow.f64 x 5)))))
(fma.f64 5/112 (pow.f64 x 7) (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -3/40 (pow.f64 x 5) (neg.f64 x))))
(+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))
(+.f64 (neg.f64 (log.f64 x)) (log.f64 1/2))
(-.f64 (log.f64 1/2) (log.f64 x))
(-.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (neg.f64 (log.f64 x)) (-.f64 (log.f64 1/2) (/.f64 1/4 (*.f64 x x))))
(+.f64 (-.f64 (log.f64 1/2) (log.f64 x)) (/.f64 -1/4 (*.f64 x x)))
(-.f64 (+.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 (+.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 (neg.f64 (log.f64 x)) (+.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 (-.f64 (log.f64 1/2) (log.f64 x)) (/.f64 3/32 (pow.f64 x 4))) (/.f64 5/96 (pow.f64 x 6))) (/.f64 -1/4 (*.f64 x x)))
(+.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)))))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 1/4 (*.f64 x x)) (log.f64 2)))
(+.f64 (/.f64 1/4 (*.f64 x x)) (-.f64 (log.f64 2) (log.f64 (/.f64 -1 x))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 1/4 (*.f64 x x)) (log.f64 2))) (/.f64 3/32 (pow.f64 x 4)))
(+.f64 (-.f64 (log.f64 2) (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 -3/32 (pow.f64 x 4))))
(-.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (-.f64 (log.f64 2) (/.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 (+.f64 (/.f64 5/96 (pow.f64 x 6)) (log.f64 2)) (-.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 3/32 (pow.f64 x 4)))) (log.f64 (/.f64 -1 x)))
1
(+.f64 1 (*.f64 -1 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 1/2 (*.f64 x x)) 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 (pow.f64 x 4) -1/8 (*.f64 1/2 (*.f64 x x))) 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 -1/8 (pow.f64 x 3))) (/.f64 1/16 (pow.f64 x 5)))
(-.f64 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 5/128 (/.f64 1 (pow.f64 x 7)))))
(+.f64 (/.f64 1/16 (pow.f64 x 5)) (-.f64 (/.f64 1/2 x) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 5/128 (pow.f64 x 7)))))
(+.f64 (/.f64 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 -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 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (fma.f64 x -2 (/.f64 -1/2 x))) (/.f64 1/16 (pow.f64 x 5)))
1
(+.f64 1 (*.f64 -2 x))
(+.f64 1 (*.f64 x -2))
(fma.f64 x -2 1)
(+.f64 1 (+.f64 (*.f64 -2 x) (*.f64 1/2 (pow.f64 x 2))))
(+.f64 1 (fma.f64 -2 x (*.f64 1/2 (*.f64 x x))))
(+.f64 1 (fma.f64 x -2 (*.f64 1/2 (*.f64 x x))))
(+.f64 1 (+.f64 (*.f64 -2 x) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/8 (pow.f64 x 4)))))
(+.f64 1 (fma.f64 -2 x (fma.f64 1/2 (*.f64 x x) (*.f64 (pow.f64 x 4) -1/8))))
(+.f64 (fma.f64 x -2 1) (fma.f64 (pow.f64 x 4) -1/8 (*.f64 1/2 (*.f64 x x))))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 -1 x) (*.f64 1/2 (/.f64 1 x)))
(fma.f64 -1 x (/.f64 1/2 x))
(-.f64 (/.f64 1/2 x) x)
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 -1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (fma.f64 -1 x (/.f64 1/2 x)) (/.f64 1/8 (pow.f64 x 3)))
(+.f64 (-.f64 (/.f64 1/2 x) 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))) (*.f64 -1 x))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1/2 x) (-.f64 (+.f64 (/.f64 1/16 (pow.f64 x 5)) (neg.f64 x)) (/.f64 1/8 (pow.f64 x 3))))
(+.f64 (-.f64 (/.f64 1/16 (pow.f64 x 5)) x) (+.f64 (/.f64 1/2 x) (/.f64 -1/8 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 1/2 x) (/.f64 -1/8 (pow.f64 x 3))) (-.f64 (/.f64 1/16 (pow.f64 x 5)) x))
(*.f64 -3 x)
(*.f64 x -3)
(-.f64 (*.f64 -3 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 x -3) (/.f64 1/2 x))
(fma.f64 x -3 (/.f64 -1/2 x))
(-.f64 (+.f64 (*.f64 -3 x) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (fma.f64 -3 x (/.f64 1/8 (pow.f64 x 3))) (/.f64 1/2 x))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (fma.f64 x -3 (/.f64 -1/2 x)))
(-.f64 (+.f64 (*.f64 -3 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 -3 x (/.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)) (fma.f64 x -3 (/.f64 -1/2 x))) (/.f64 1/16 (pow.f64 x 5)))
0
1
(+.f64 x 1)
(+.f64 1 x)
(+.f64 x 1)
(+.f64 1 (neg.f64 x))
(-.f64 1 x)
(+.f64 1 (*.f64 x -1))
(-.f64 1 x)
(+.f64 1 (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x))))
(-.f64 1 x)
(+.f64 1 (*.f64 (cbrt.f64 x) (neg.f64 (pow.f64 (cbrt.f64 x) 2))))
(-.f64 1 x)
(+.f64 1 (-.f64 (*.f64 x x) (*.f64 x (+.f64 x 1))))
(+.f64 1 (*.f64 x (-.f64 x (+.f64 x 1))))
(fma.f64 x (-.f64 x (+.f64 x 1)) 1)
(+.f64 1 (+.f64 x (fma.f64 0 1 0)))
(+.f64 x 1)
(+.f64 1 (+.f64 (neg.f64 x) (fma.f64 0 1 0)))
(-.f64 1 x)
(+.f64 1 (+.f64 (*.f64 x -1) (fma.f64 0 1 0)))
(-.f64 1 x)
(+.f64 1 (+.f64 (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x))) (fma.f64 0 1 0)))
(-.f64 1 x)
(+.f64 1 (+.f64 (*.f64 (cbrt.f64 x) (neg.f64 (pow.f64 (cbrt.f64 x) 2))) (fma.f64 0 1 0)))
(-.f64 1 x)
(+.f64 1 (+.f64 x (fma.f64 0 0 0)))
(+.f64 x 1)
(+.f64 1 (+.f64 (neg.f64 x) (fma.f64 0 0 0)))
(-.f64 1 x)
(+.f64 1 (+.f64 (*.f64 x -1) (fma.f64 0 0 0)))
(-.f64 1 x)
(+.f64 1 (+.f64 (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x))) (fma.f64 0 0 0)))
(-.f64 1 x)
(+.f64 1 (+.f64 (*.f64 (cbrt.f64 x) (neg.f64 (pow.f64 (cbrt.f64 x) 2))) (fma.f64 0 0 0)))
(-.f64 1 x)
(+.f64 1 (+.f64 x (fma.f64 (neg.f64 x) 2 0)))
(+.f64 (+.f64 x 1) (fma.f64 (neg.f64 x) 2 0))
(+.f64 x (fma.f64 x -2 1))
(+.f64 1 (+.f64 (neg.f64 x) (fma.f64 (neg.f64 x) 2 0)))
(+.f64 (-.f64 1 x) (fma.f64 (neg.f64 x) 2 0))
(+.f64 1 (-.f64 (*.f64 x -2) x))
(-.f64 (fma.f64 x -2 1) x)
(+.f64 1 (+.f64 (*.f64 x -1) (fma.f64 (neg.f64 x) 2 0)))
(+.f64 (-.f64 1 x) (fma.f64 (neg.f64 x) 2 0))
(+.f64 1 (-.f64 (*.f64 x -2) x))
(-.f64 (fma.f64 x -2 1) x)
(+.f64 1 (+.f64 (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x))) (fma.f64 (neg.f64 x) 2 0)))
(+.f64 (-.f64 1 x) (fma.f64 (neg.f64 x) 2 0))
(+.f64 1 (-.f64 (*.f64 x -2) x))
(-.f64 (fma.f64 x -2 1) x)
(+.f64 1 (+.f64 (*.f64 (cbrt.f64 x) (neg.f64 (pow.f64 (cbrt.f64 x) 2))) (fma.f64 (neg.f64 x) 2 0)))
(+.f64 (-.f64 1 x) (fma.f64 (neg.f64 x) 2 0))
(+.f64 1 (-.f64 (*.f64 x -2) x))
(-.f64 (fma.f64 x -2 1) x)
(+.f64 1 (+.f64 (fma.f64 (neg.f64 x) 1 x) (neg.f64 x)))
(+.f64 (+.f64 x 1) (fma.f64 (neg.f64 x) 2 0))
(+.f64 x (fma.f64 x -2 1))
(+.f64 1 (+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (neg.f64 x)))
(+.f64 (+.f64 x 1) (fma.f64 (neg.f64 x) 2 0))
(+.f64 x (fma.f64 x -2 1))
(+.f64 1 (+.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) (neg.f64 x)))
(+.f64 (+.f64 x 1) (fma.f64 (neg.f64 x) 2 0))
(+.f64 x (fma.f64 x -2 1))
(+.f64 1 (+.f64 (fma.f64 (neg.f64 x) 1 x) (*.f64 x -1)))
(+.f64 (+.f64 x 1) (fma.f64 (neg.f64 x) 2 0))
(+.f64 x (fma.f64 x -2 1))
(+.f64 1 (+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (*.f64 x -1)))
(+.f64 (+.f64 x 1) (fma.f64 (neg.f64 x) 2 0))
(+.f64 x (fma.f64 x -2 1))
(+.f64 1 (+.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) (*.f64 x -1)))
(+.f64 (+.f64 x 1) (fma.f64 (neg.f64 x) 2 0))
(+.f64 x (fma.f64 x -2 1))
(+.f64 1 (+.f64 (fma.f64 (neg.f64 x) 1 x) (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)))))
(+.f64 (+.f64 x 1) (fma.f64 (neg.f64 x) 2 0))
(+.f64 x (fma.f64 x -2 1))
(+.f64 1 (+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)))))
(+.f64 (+.f64 x 1) (fma.f64 (neg.f64 x) 2 0))
(+.f64 x (fma.f64 x -2 1))
(+.f64 1 (+.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)))))
(+.f64 (+.f64 x 1) (fma.f64 (neg.f64 x) 2 0))
(+.f64 x (fma.f64 x -2 1))
(+.f64 1 (+.f64 (fma.f64 (neg.f64 x) 1 x) (*.f64 (cbrt.f64 x) (neg.f64 (pow.f64 (cbrt.f64 x) 2)))))
(+.f64 (+.f64 x 1) (fma.f64 (neg.f64 x) 2 0))
(+.f64 x (fma.f64 x -2 1))
(+.f64 1 (+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (*.f64 (cbrt.f64 x) (neg.f64 (pow.f64 (cbrt.f64 x) 2)))))
(+.f64 (+.f64 x 1) (fma.f64 (neg.f64 x) 2 0))
(+.f64 x (fma.f64 x -2 1))
(+.f64 1 (+.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) (*.f64 (cbrt.f64 x) (neg.f64 (pow.f64 (cbrt.f64 x) 2)))))
(+.f64 (+.f64 x 1) (fma.f64 (neg.f64 x) 2 0))
(+.f64 x (fma.f64 x -2 1))
(+.f64 1 (+.f64 (fma.f64 (neg.f64 x) 1 x) x))
(+.f64 1 (+.f64 x (fma.f64 (neg.f64 x) 1 x)))
(+.f64 x (+.f64 x (-.f64 1 x)))
(+.f64 1 (+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) x))
(+.f64 1 (+.f64 x (fma.f64 (neg.f64 x) 1 x)))
(+.f64 x (+.f64 x (-.f64 1 x)))
(+.f64 1 (+.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) x))
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(/.f64 (fma.f64 x x 1) (+.f64 x 1))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (+.f64 1 (*.f64 x x))) (/.f64 (+.f64 1 (*.f64 x x)) (cbrt.f64 (+.f64 x 1))))
(+.f64 x 1)
(/.f64 (*.f64 (+.f64 x 1) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2))
(+.f64 x 1)
(/.f64 (*.f64 (+.f64 x 1) (cbrt.f64 (+.f64 x 1))) (cbrt.f64 (+.f64 x 1)))
(+.f64 x 1)
(/.f64 (*.f64 (+.f64 x 1) -1) -1)
(+.f64 x 1)
(/.f64 (pow.f64 (+.f64 x 1) 3/2) (/.f64 (+.f64 1 (*.f64 x x)) (pow.f64 (+.f64 x 1) 3/2)))
(*.f64 (pow.f64 (+.f64 x 1) 3) (/.f64 1 (+.f64 1 (*.f64 x x))))
(/.f64 (pow.f64 (+.f64 x 1) 3) (fma.f64 x x 1))
(/.f64 (-.f64 (*.f64 (+.f64 x 1) (pow.f64 (+.f64 x 1) 3)) (*.f64 (*.f64 x (+.f64 x 1)) (*.f64 x (+.f64 x 1)))) (+.f64 (+.f64 1 (*.f64 x x)) (*.f64 x (+.f64 x 1))))
(/.f64 (-.f64 (*.f64 (+.f64 x 1) (pow.f64 (+.f64 x 1) 3)) (*.f64 x (*.f64 (+.f64 x 1) (+.f64 x (*.f64 x x))))) (+.f64 (+.f64 x (*.f64 x x)) (+.f64 1 (*.f64 x x))))
(/.f64 (-.f64 (pow.f64 (+.f64 x 1) 4) (*.f64 (fma.f64 x x x) (fma.f64 x x x))) (+.f64 1 (fma.f64 x x (fma.f64 x x x))))
(/.f64 (-.f64 1 (*.f64 x x)) (+.f64 x 1))
(/.f64 (neg.f64 (+.f64 1 (*.f64 x x))) (neg.f64 (+.f64 x 1)))
(/.f64 (*.f64 (+.f64 1 (*.f64 x x)) 1) (+.f64 x 1))
(/.f64 (fma.f64 x x 1) (+.f64 x 1))
(/.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (+.f64 1 (*.f64 x x))))
(/.f64 (*.f64 (+.f64 1 (*.f64 x x)) 1) (+.f64 x 1))
(/.f64 (fma.f64 x x 1) (+.f64 x 1))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (*.f64 x x)) 3) (pow.f64 (*.f64 x (+.f64 x 1)) 3)) (+.f64 (*.f64 (+.f64 x 1) (pow.f64 (+.f64 x 1) 3)) (+.f64 (*.f64 (*.f64 x (+.f64 x 1)) (*.f64 x (+.f64 x 1))) (*.f64 (+.f64 1 (*.f64 x x)) (*.f64 x (+.f64 x 1))))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (*.f64 x x)) 3) (pow.f64 (+.f64 x (*.f64 x x)) 3)) (fma.f64 (+.f64 x 1) (pow.f64 (+.f64 x 1) 3) (*.f64 (+.f64 x (*.f64 x x)) (+.f64 (+.f64 x (*.f64 x x)) (+.f64 1 (*.f64 x x))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x x 1) 3) (pow.f64 (fma.f64 x x x) 3)) (fma.f64 (fma.f64 x x x) (+.f64 1 (fma.f64 x x (fma.f64 x x x))) (pow.f64 (+.f64 x 1) 4)))
(/.f64 (-.f64 1 (pow.f64 x 3)) (+.f64 1 (+.f64 x (*.f64 x x))))
(/.f64 (-.f64 1 (pow.f64 x 3)) (+.f64 x (fma.f64 x x 1)))
(/.f64 (neg.f64 (pow.f64 (+.f64 x 1) 3)) (neg.f64 (+.f64 1 (*.f64 x x))))
(*.f64 (pow.f64 (+.f64 x 1) 3) (/.f64 1 (+.f64 1 (*.f64 x x))))
(/.f64 (pow.f64 (+.f64 x 1) 3) (fma.f64 x x 1))
(/.f64 (pow.f64 (sqrt.f64 (+.f64 x 1)) 3) (/.f64 (+.f64 1 (*.f64 x x)) (pow.f64 (sqrt.f64 (+.f64 x 1)) 3)))
(*.f64 (pow.f64 (+.f64 x 1) 3) (/.f64 1 (+.f64 1 (*.f64 x x))))
(/.f64 (pow.f64 (+.f64 x 1) 3) (fma.f64 x x 1))
(/.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 3) (+.f64 x 1))
(+.f64 x 1)
(/.f64 (*.f64 1 (-.f64 (*.f64 (+.f64 x 1) (pow.f64 (+.f64 x 1) 3)) (*.f64 (*.f64 x (+.f64 x 1)) (*.f64 x (+.f64 x 1))))) (+.f64 (+.f64 1 (*.f64 x x)) (*.f64 x (+.f64 x 1))))
(/.f64 (-.f64 (*.f64 (+.f64 x 1) (pow.f64 (+.f64 x 1) 3)) (*.f64 x (*.f64 (+.f64 x 1) (+.f64 x (*.f64 x x))))) (+.f64 (+.f64 x (*.f64 x x)) (+.f64 1 (*.f64 x x))))
(/.f64 (-.f64 (pow.f64 (+.f64 x 1) 4) (*.f64 (fma.f64 x x x) (fma.f64 x x x))) (+.f64 1 (fma.f64 x x (fma.f64 x x x))))
(/.f64 (*.f64 1 (-.f64 (pow.f64 (+.f64 1 (*.f64 x x)) 3) (pow.f64 (*.f64 x (+.f64 x 1)) 3))) (+.f64 (*.f64 (+.f64 x 1) (pow.f64 (+.f64 x 1) 3)) (+.f64 (*.f64 (*.f64 x (+.f64 x 1)) (*.f64 x (+.f64 x 1))) (*.f64 (+.f64 1 (*.f64 x x)) (*.f64 x (+.f64 x 1))))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (*.f64 x x)) 3) (pow.f64 (+.f64 x (*.f64 x x)) 3)) (fma.f64 (+.f64 x 1) (pow.f64 (+.f64 x 1) 3) (*.f64 (+.f64 x (*.f64 x x)) (+.f64 (+.f64 x (*.f64 x x)) (+.f64 1 (*.f64 x x))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x x 1) 3) (pow.f64 (fma.f64 x x x) 3)) (fma.f64 (fma.f64 x x x) (+.f64 1 (fma.f64 x x (fma.f64 x x x))) (pow.f64 (+.f64 x 1) 4)))
(/.f64 (*.f64 1 (-.f64 1 (*.f64 x x))) (+.f64 x 1))
(/.f64 (-.f64 1 (*.f64 x x)) (+.f64 x 1))
(/.f64 (*.f64 1 (neg.f64 (+.f64 1 (*.f64 x x)))) (neg.f64 (+.f64 x 1)))
(/.f64 (*.f64 (+.f64 1 (*.f64 x x)) 1) (+.f64 x 1))
(/.f64 (fma.f64 x x 1) (+.f64 x 1))
(/.f64 (*.f64 1 (-.f64 1 (pow.f64 x 3))) (+.f64 1 (+.f64 x (*.f64 x x))))
(/.f64 (-.f64 1 (pow.f64 x 3)) (+.f64 1 (+.f64 x (*.f64 x x))))
(/.f64 (-.f64 1 (pow.f64 x 3)) (+.f64 x (fma.f64 x x 1)))
(/.f64 (*.f64 1 (neg.f64 (pow.f64 (+.f64 x 1) 3))) (neg.f64 (+.f64 1 (*.f64 x x))))
(*.f64 (pow.f64 (+.f64 x 1) 3) (/.f64 1 (+.f64 1 (*.f64 x x))))
(/.f64 (pow.f64 (+.f64 x 1) 3) (fma.f64 x x 1))
(/.f64 (*.f64 (+.f64 x 1) (fma.f64 x x (+.f64 x 1))) (fma.f64 x x (+.f64 x 1)))
(+.f64 x 1)
(/.f64 (*.f64 (+.f64 x 1) (neg.f64 (fma.f64 x x (+.f64 x 1)))) (neg.f64 (fma.f64 x x (+.f64 x 1))))
(+.f64 x 1)
(/.f64 (*.f64 (+.f64 x 1) (*.f64 (fma.f64 x x (+.f64 x 1)) (fma.f64 x x (+.f64 x 1)))) (*.f64 (fma.f64 x x (+.f64 x 1)) (fma.f64 x x (+.f64 x 1))))
(+.f64 x 1)
(/.f64 (*.f64 (+.f64 x 1) (*.f64 -1 (fma.f64 x x (+.f64 x 1)))) (*.f64 -1 (fma.f64 x x (+.f64 x 1))))
(+.f64 x 1)
(/.f64 (*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (pow.f64 (+.f64 x 1) 3))) (+.f64 x 1))
(/.f64 (sqrt.f64 (pow.f64 (+.f64 x 1) 3)) (/.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x 1))))
(*.f64 1 (/.f64 (sqrt.f64 (pow.f64 (+.f64 x 1) 3)) (sqrt.f64 (+.f64 x 1))))
(/.f64 (*.f64 (fma.f64 x x (+.f64 x 1)) (+.f64 x 1)) (fma.f64 x x (+.f64 x 1)))
(+.f64 x 1)
(/.f64 (*.f64 (neg.f64 (fma.f64 x x (+.f64 x 1))) (+.f64 x 1)) (neg.f64 (fma.f64 x x (+.f64 x 1))))
(+.f64 x 1)
(/.f64 (*.f64 (-.f64 1 (*.f64 x x)) 1) (+.f64 x 1))
(/.f64 (-.f64 1 (*.f64 x x)) (+.f64 x 1))
(/.f64 (*.f64 (neg.f64 (+.f64 1 (*.f64 x x))) 1) (neg.f64 (+.f64 x 1)))
(/.f64 (*.f64 (+.f64 1 (*.f64 x x)) 1) (+.f64 x 1))
(/.f64 (fma.f64 x x 1) (+.f64 x 1))
(/.f64 (*.f64 (-.f64 1 (pow.f64 x 3)) 1) (+.f64 1 (+.f64 x (*.f64 x x))))
(/.f64 (-.f64 1 (pow.f64 x 3)) (+.f64 1 (+.f64 x (*.f64 x x))))
(/.f64 (-.f64 1 (pow.f64 x 3)) (+.f64 x (fma.f64 x x 1)))
(/.f64 (*.f64 (neg.f64 (pow.f64 (+.f64 x 1) 3)) 1) (neg.f64 (+.f64 1 (*.f64 x x))))
(*.f64 (pow.f64 (+.f64 x 1) 3) (/.f64 1 (+.f64 1 (*.f64 x x))))
(/.f64 (pow.f64 (+.f64 x 1) 3) (fma.f64 x x 1))
(/.f64 (*.f64 (sqrt.f64 (pow.f64 (+.f64 x 1) 3)) (sqrt.f64 (+.f64 x 1))) (+.f64 x 1))
(/.f64 (sqrt.f64 (pow.f64 (+.f64 x 1) 3)) (/.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x 1))))
(*.f64 1 (/.f64 (sqrt.f64 (pow.f64 (+.f64 x 1) 3)) (sqrt.f64 (+.f64 x 1))))
(/.f64 (*.f64 (pow.f64 (+.f64 x 1) 3) (/.f64 1 (+.f64 x 1))) (+.f64 x 1))
(+.f64 x 1)
(/.f64 (*.f64 (*.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (+.f64 x 1) 3)) (/.f64 1 (+.f64 x 1))) (*.f64 (+.f64 x 1) (pow.f64 (+.f64 x 1) 3)))
(+.f64 x 1)
(/.f64 (*.f64 (*.f64 (+.f64 x 1) (pow.f64 (+.f64 x 1) 3)) (/.f64 1 (+.f64 x 1))) (+.f64 1 (*.f64 x x)))
(*.f64 (pow.f64 (+.f64 x 1) 3) (/.f64 1 (+.f64 1 (*.f64 x x))))
(/.f64 (pow.f64 (+.f64 x 1) 3) (fma.f64 x x 1))
(/.f64 (*.f64 (*.f64 (+.f64 1 (*.f64 x x)) (pow.f64 (+.f64 x 1) 3)) (/.f64 1 (+.f64 x 1))) (pow.f64 (+.f64 x 1) 3))
(/.f64 (*.f64 (+.f64 1 (*.f64 x x)) 1) (+.f64 x 1))
(/.f64 (fma.f64 x x 1) (+.f64 x 1))
(/.f64 (*.f64 (-.f64 (*.f64 (+.f64 x 1) (pow.f64 (+.f64 x 1) 3)) 0) (/.f64 1 (+.f64 x 1))) (+.f64 1 (*.f64 x x)))
(*.f64 (pow.f64 (+.f64 x 1) 3) (/.f64 1 (+.f64 1 (*.f64 x x))))
(/.f64 (pow.f64 (+.f64 x 1) 3) (fma.f64 x x 1))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 1 (*.f64 x x)) 3) 0) (/.f64 1 (+.f64 x 1))) (+.f64 (+.f64 (*.f64 (+.f64 x 1) (pow.f64 (+.f64 x 1) 3)) 0) (*.f64 (+.f64 1 (*.f64 x x)) 0)))
(/.f64 (pow.f64 (+.f64 1 (*.f64 x x)) 3) (/.f64 (*.f64 (+.f64 x 1) (pow.f64 (+.f64 x 1) 3)) (/.f64 1 (+.f64 x 1))))
(/.f64 (pow.f64 (fma.f64 x x 1) 3) (*.f64 (pow.f64 (+.f64 x 1) 4) (+.f64 x 1)))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (+.f64 x 1) 3)) 0) (/.f64 1 (+.f64 1 (*.f64 x x)))) (pow.f64 (+.f64 x 1) 3))
(/.f64 (pow.f64 (+.f64 x 1) 6) (/.f64 (pow.f64 (+.f64 x 1) 3) (/.f64 1 (+.f64 1 (*.f64 x x)))))
(*.f64 (pow.f64 (+.f64 x 1) 4) (/.f64 (/.f64 1 (fma.f64 x x 1)) (+.f64 x 1)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 x 1) 3) 3) 0) (/.f64 1 (+.f64 1 (*.f64 x x)))) (+.f64 (*.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (+.f64 x 1) 3)) (+.f64 0 (*.f64 0 (pow.f64 (+.f64 x 1) 3)))))
(/.f64 (pow.f64 (pow.f64 (+.f64 x 1) 3) 3) (/.f64 (pow.f64 (+.f64 x 1) 6) (/.f64 1 (+.f64 1 (*.f64 x x)))))
(/.f64 (pow.f64 (pow.f64 (+.f64 x 1) 3) 3) (*.f64 (pow.f64 (+.f64 x 1) 6) (fma.f64 x x 1)))
(/.f64 (*.f64 (*.f64 (fma.f64 x x (+.f64 x 1)) (fma.f64 x x (+.f64 x 1))) (+.f64 x 1)) (*.f64 (fma.f64 x x (+.f64 x 1)) (fma.f64 x x (+.f64 x 1))))
(+.f64 x 1)
(/.f64 (*.f64 (*.f64 -1 (fma.f64 x x (+.f64 x 1))) (+.f64 x 1)) (*.f64 -1 (fma.f64 x x (+.f64 x 1))))
(+.f64 x 1)
(/.f64 (/.f64 (+.f64 1 (*.f64 x x)) (cbrt.f64 (+.f64 x 1))) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2))
(/.f64 (*.f64 (+.f64 1 (*.f64 x x)) 1) (+.f64 x 1))
(/.f64 (fma.f64 x x 1) (+.f64 x 1))
(/.f64 (/.f64 (+.f64 1 (*.f64 x x)) (+.f64 1 (*.f64 x x))) (/.f64 1 (+.f64 x 1)))
(+.f64 x 1)
(/.f64 (/.f64 (+.f64 1 (*.f64 x x)) (+.f64 (sqrt.f64 (+.f64 x 1)) 0)) (-.f64 (sqrt.f64 (+.f64 x 1)) 0))
(/.f64 (*.f64 (+.f64 1 (*.f64 x x)) 1) (+.f64 x 1))
(/.f64 (fma.f64 x x 1) (+.f64 x 1))
(/.f64 (/.f64 (pow.f64 (+.f64 x 1) 3) (*.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2))) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2))
(+.f64 x 1)
(pow.f64 (+.f64 x 1) 1)
(+.f64 x 1)
(pow.f64 (sqrt.f64 (+.f64 x 1)) 2)
(+.f64 x 1)
(pow.f64 (cbrt.f64 (+.f64 x 1)) 3)
(+.f64 x 1)
(pow.f64 (+.f64 1 (*.f64 x x)) 1/2)
(hypot.f64 1 x)
(pow.f64 (pow.f64 (+.f64 x 1) 3) 1/3)
(+.f64 x 1)
(sqrt.f64 (+.f64 1 (*.f64 x x)))
(hypot.f64 1 x)
(log.f64 (exp.f64 (+.f64 x 1)))
(+.f64 x 1)
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x 1))))
(+.f64 x 1)
(cbrt.f64 (pow.f64 (+.f64 x 1) 3))
(+.f64 x 1)
(expm1.f64 (log.f64 (+.f64 2 x)))
(expm1.f64 (log.f64 (+.f64 x 2)))
(hypot.f64 1 x)
(exp.f64 (log1p.f64 x))
(log1p.f64 (expm1.f64 (+.f64 x 1)))
(+.f64 x 1)
(fma.f64 1 (+.f64 x 1) 0)
(+.f64 x 1)
(fma.f64 (+.f64 x 1) (+.f64 x 1) (neg.f64 (*.f64 x (+.f64 x 1))))
(+.f64 x (+.f64 1 (fma.f64 (+.f64 (neg.f64 x) -1) x (+.f64 x (*.f64 x x)))))
(*.f64 (+.f64 x 1) (+.f64 x (-.f64 1 x)))
(fma.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1)) 0)
(+.f64 x 1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (cbrt.f64 (+.f64 x 1)) 0)
(+.f64 x 1)

localize16.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.01%
(-.f64 (*.f64 x -2) (/.f64 1/2 x))
Compiler

Compiled 34 to 25 computations (26.5% saved)

localize47.0ms (0.5%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.02%
(sqrt.f64 (-.f64 (hypot.f64 1 x) x))
0.54%
(-.f64 (hypot.f64 1 x) x)
✓4.03%
(log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))
Compiler

Compiled 44 to 32 computations (27.3% saved)

series3.0ms (0%)

Counts
2 → 8
Calls

6 calls:

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

rewrite78.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
1776×add-sqr-sqrt
1760×*-un-lft-identity
1636×add-cube-cbrt
1620×add-cbrt-cube
176×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0938
117838
2218938
Stop Event
1×node limit
Counts
2 → 47
Calls
Call 1
Inputs
(log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))
(sqrt.f64 (-.f64 (hypot.f64 1 x) x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) (log.f64 (cbrt.f64 (sqrt.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) 1/4)) (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (sqrt.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))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))) (sqrt.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))) (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))) 2) (cbrt.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (log.f64 (-.f64 (hypot.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 1/4) (pow.f64 (-.f64 (hypot.f64 1 x) x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))) (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) (cbrt.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2)) (sqrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2) 1/2) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x))) (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (sqrt.f64 (+.f64 (+.f64 1 (*.f64 x x)) (*.f64 x (+.f64 x (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (hypot.f64 1 x) x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.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) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))))) (sqrt.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.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)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))))))))

simplify67.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
1160×associate-*r*
1092×associate-+r+
992×associate-*l*
982×associate-+l+
872×associate-*r/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01381323
12991271
29961261
346781261
Stop Event
1×node limit
Counts
55 → 79
Calls
Call 1
Inputs
(*.f64 -1/2 x)
(+.f64 (*.f64 1/12 (pow.f64 x 3)) (*.f64 -1/2 x))
(+.f64 (*.f64 1/12 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 x) (*.f64 -3/80 (pow.f64 x 5))))
(+.f64 (*.f64 1/12 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 5/224 (pow.f64 x 7)) (*.f64 -3/80 (pow.f64 x 5)))))
1
(+.f64 (*.f64 -1/2 x) 1)
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1/2 x) 1))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1/2 x) (+.f64 1 (*.f64 1/16 (pow.f64 x 3)))))
(+.f64 0 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))))
(+.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) (log.f64 (cbrt.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))))
(+.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 1/4)) (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 1/4)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))))) 1)
(*.f64 1 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))))
(*.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))) 1)
(*.f64 (sqrt.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))) (sqrt.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))))
(*.f64 (cbrt.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))) (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))) 2) (cbrt.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))))
(*.f64 1/2 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(pow.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))) 1)
(pow.f64 (sqrt.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))) 2)
(pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))) 3)
(pow.f64 (pow.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))) 3) 1/3)
(sqrt.f64 (pow.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))) 2))
(cbrt.f64 (pow.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))))
(exp.f64 (log.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))) 1))
(log1p.f64 (-.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) 1))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))) 1)
(*.f64 1 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) 1)
(*.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 1/4) (pow.f64 (-.f64 (hypot.f64 1 x) x) 1/4))
(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))) (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) (cbrt.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2)) (sqrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2) 1/2) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 1/2))
(/.f64 (sqrt.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x))) (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (sqrt.f64 (+.f64 (+.f64 1 (*.f64 x x)) (*.f64 x (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (-.f64 (hypot.f64 1 x) x) 1/2)
(pow.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) 1)
(pow.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 1/4) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))) 3)
(pow.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 3/2) 1/3)
(pow.f64 (E.f64) (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))))) (sqrt.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))))
(fabs.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))))
(cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))))
(exp.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))))
(exp.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 1/2))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))))
Outputs
(*.f64 -1/2 x)
(+.f64 (*.f64 1/12 (pow.f64 x 3)) (*.f64 -1/2 x))
(fma.f64 1/12 (pow.f64 x 3) (*.f64 -1/2 x))
(fma.f64 -1/2 x (*.f64 1/12 (pow.f64 x 3)))
(+.f64 (*.f64 1/12 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 x) (*.f64 -3/80 (pow.f64 x 5))))
(fma.f64 1/12 (pow.f64 x 3) (fma.f64 -1/2 x (*.f64 -3/80 (pow.f64 x 5))))
(fma.f64 -1/2 x (fma.f64 1/12 (pow.f64 x 3) (*.f64 -3/80 (pow.f64 x 5))))
(fma.f64 1/12 (pow.f64 x 3) (fma.f64 -3/80 (pow.f64 x 5) (*.f64 -1/2 x)))
(+.f64 (*.f64 1/12 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 5/224 (pow.f64 x 7)) (*.f64 -3/80 (pow.f64 x 5)))))
(fma.f64 1/12 (pow.f64 x 3) (fma.f64 -1/2 x (fma.f64 5/224 (pow.f64 x 7) (*.f64 -3/80 (pow.f64 x 5)))))
(fma.f64 1/12 (pow.f64 x 3) (fma.f64 -1/2 x (fma.f64 -3/80 (pow.f64 x 5) (*.f64 5/224 (pow.f64 x 7)))))
(fma.f64 1/12 (pow.f64 x 3) (fma.f64 -3/80 (pow.f64 x 5) (fma.f64 5/224 (pow.f64 x 7) (*.f64 -1/2 x))))
1
(+.f64 (*.f64 -1/2 x) 1)
(fma.f64 -1/2 x 1)
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1/2 x) 1))
(fma.f64 1/8 (*.f64 x x) (fma.f64 -1/2 x 1))
(fma.f64 -1/2 x (fma.f64 x (*.f64 x 1/8) 1))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1/2 x) (+.f64 1 (*.f64 1/16 (pow.f64 x 3)))))
(fma.f64 1/8 (*.f64 x x) (+.f64 (fma.f64 -1/2 x 1) (*.f64 (pow.f64 x 3) 1/16)))
(fma.f64 1/8 (*.f64 x x) (fma.f64 -1/2 x (fma.f64 (pow.f64 x 3) 1/16 1)))
(fma.f64 -1/2 x (fma.f64 x (*.f64 x 1/8) (fma.f64 (pow.f64 x 3) 1/16 1)))
(+.f64 0 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))))
(log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))
(+.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) (log.f64 (cbrt.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))))
(+.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 1/4)) (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 1/4)))
(log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))))) 1)
(log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 1 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))))
(log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))) 1)
(log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (sqrt.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))) (sqrt.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))))
(log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (cbrt.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))) (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))) 2))
(log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))) 2) (cbrt.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))))
(log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 1/2 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))
(pow.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))) 1)
(log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))
(pow.f64 (sqrt.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))) 2)
(log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))
(pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))) 3)
(log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))
(pow.f64 (pow.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))) 3) 1/3)
(log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))
(sqrt.f64 (pow.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))) 2))
(log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))
(cbrt.f64 (pow.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))) 3))
(log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))
(expm1.f64 (log1p.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))))
(log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))
(exp.f64 (log.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))))
(log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))
(exp.f64 (*.f64 (log.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))) 1))
(log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))
(log1p.f64 (-.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) 1))
(log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))) 1)
(sqrt.f64 (-.f64 (hypot.f64 1 x) x))
(*.f64 1 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))
(sqrt.f64 (-.f64 (hypot.f64 1 x) x))
(*.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) 1)
(sqrt.f64 (-.f64 (hypot.f64 1 x) x))
(*.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 1/4) (pow.f64 (-.f64 (hypot.f64 1 x) x) 1/4))
(sqrt.f64 (-.f64 (hypot.f64 1 x) x))
(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))) (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) (cbrt.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))))
(*.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) (cbrt.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2)) (sqrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
(*.f64 (fabs.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) (sqrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
(*.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) (sqrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))
(sqrt.f64 (-.f64 (hypot.f64 1 x) x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2) 1/2) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2)) (sqrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
(*.f64 (fabs.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) (sqrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
(*.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) (sqrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
(/.f64 (sqrt.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x))) (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(/.f64 (sqrt.f64 (+.f64 1 (-.f64 (*.f64 x x) (*.f64 x x)))) (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(/.f64 1 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (sqrt.f64 (+.f64 (+.f64 1 (*.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))) (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))) (sqrt.f64 (fma.f64 x (+.f64 x (hypot.f64 1 x)) (fma.f64 x x 1))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (sqrt.f64 (fma.f64 x (+.f64 (+.f64 x x) (hypot.f64 1 x)) 1)))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (sqrt.f64 (fma.f64 x (+.f64 x (+.f64 x (hypot.f64 1 x))) 1)))
(pow.f64 (-.f64 (hypot.f64 1 x) x) 1/2)
(sqrt.f64 (-.f64 (hypot.f64 1 x) x))
(pow.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) 1)
(sqrt.f64 (-.f64 (hypot.f64 1 x) x))
(pow.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 1/4) 2)
(sqrt.f64 (-.f64 (hypot.f64 1 x) x))
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))) 3)
(sqrt.f64 (-.f64 (hypot.f64 1 x) x))
(pow.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 3/2) 1/3)
(cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 3/2))
(pow.f64 (E.f64) (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))))
(sqrt.f64 (-.f64 (hypot.f64 1 x) x))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))))) (sqrt.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))))
(sqrt.f64 (-.f64 (hypot.f64 1 x) x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))))
(sqrt.f64 (-.f64 (hypot.f64 1 x) x))
(fabs.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))
(sqrt.f64 (-.f64 (hypot.f64 1 x) x))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))))
(sqrt.f64 (-.f64 (hypot.f64 1 x) x))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))))
(sqrt.f64 (-.f64 (hypot.f64 1 x) x))
(cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))))
(sqrt.f64 (-.f64 (hypot.f64 1 x) x))
(exp.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))))
(sqrt.f64 (-.f64 (hypot.f64 1 x) x))
(exp.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 1/2))
(sqrt.f64 (-.f64 (hypot.f64 1 x) x))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))))
(sqrt.f64 (-.f64 (hypot.f64 1 x) x))

eval367.0ms (3.8%)

Compiler

Compiled 16063 to 11871 computations (26.1% saved)

prune187.0ms (1.9%)

Pruning

13 alts after pruning (2 fresh and 11 done)

PrunedKeptTotal
New7641765
Fresh011
Picked011
Done01010
Total76413777
Error
0%
Counts
777 → 13
Alt Table
Click to see full alt table
StatusErrorProgram
✓50.53%
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x))
✓51.08%
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
✓69.23%
(neg.f64 (*.f64 2 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))))
✓69.2%
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
✓73.87%
(neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x))))
✓69.2%
(neg.f64 (log.f64 (+.f64 x (-.f64 (hypot.f64 1 x) (+.f64 x x)))))
99.05%
(neg.f64 (log.f64 (+.f64 x (-.f64 (/.f64 1/2 x) x))))
✓69.22%
(log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))
✓74.74%
(log.f64 (/.f64 -1/2 x))
✓73.1%
(log.f64 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))))
✓68.55%
(log.f64 (+.f64 x (hypot.f64 1 x)))
✓74.05%
(log.f64 (+.f64 x x))
49%
x
Compiler

Compiled 112 to 84 computations (25% saved)

regimes47.0ms (0.5%)

Counts
17 → 3
Calls
Call 1
Inputs
x
(log.f64 (+.f64 x x))
(log.f64 (/.f64 -1/2 x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(neg.f64 (log.f64 (+.f64 x (-.f64 (/.f64 1/2 x) x))))
(neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x))))
(log.f64 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))))
(log.f64 (/.f64 1 (-.f64 (*.f64 x -2) (/.f64 1/2 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))))
(neg.f64 (log.f64 (+.f64 x (-.f64 (hypot.f64 1 x) (+.f64 x x)))))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x))
(neg.f64 (*.f64 2 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))))
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)
(-.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)))))
Outputs
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x))
(log.f64 (+.f64 x (hypot.f64 1 x)))
Calls

3 calls:

25.0ms
x
9.0ms
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
9.0ms
(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
Results
ErrorSegmentsBranch
0.03%3x
11.35%3(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
11.35%3(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
Compiler

Compiled 173 to 123 computations (28.9% saved)

bsearch35.0ms (0.4%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
17.0ms
5.53560473219934e-6
0.11881101479496496
18.0ms
-4.1088686510670565
-0.001115298394422376
Results
31.0ms256×body256valid
Compiler

Compiled 390 to 306 computations (21.5% saved)

regimes42.0ms (0.4%)

Counts
13 → 3
Calls
Call 1
Inputs
x
(log.f64 (+.f64 x x))
(log.f64 (/.f64 -1/2 x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(neg.f64 (log.f64 (+.f64 x (-.f64 (/.f64 1/2 x) x))))
(neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x))))
(log.f64 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))))
(log.f64 (/.f64 1 (-.f64 (*.f64 x -2) (/.f64 1/2 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))))
(neg.f64 (log.f64 (+.f64 x (-.f64 (hypot.f64 1 x) (+.f64 x x)))))
Outputs
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(log.f64 (+.f64 x (hypot.f64 1 x)))
Calls

3 calls:

21.0ms
x
9.0ms
(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
8.0ms
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
Results
ErrorSegmentsBranch
0.04%3x
11.37%3(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
11.37%3(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
Compiler

Compiled 117 to 81 computations (30.8% saved)

bsearch46.0ms (0.5%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
18.0ms
5.53560473219934e-6
0.11881101479496496
28.0ms
-0.001115298394422376
-3.366092342595575e-5
Results
42.0ms240×body256valid
Compiler

Compiled 276 to 212 computations (23.2% saved)

regimes19.0ms (0.2%)

Counts
9 → 3
Calls
Call 1
Inputs
x
(log.f64 (+.f64 x x))
(log.f64 (/.f64 -1/2 x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(neg.f64 (log.f64 (+.f64 x (-.f64 (/.f64 1/2 x) x))))
(neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x))))
(log.f64 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))))
(log.f64 (/.f64 1 (-.f64 (*.f64 x -2) (/.f64 1/2 x))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
Outputs
(neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x))))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(log.f64 (+.f64 x (hypot.f64 1 x)))
Calls

1 calls:

17.0ms
x
Results
ErrorSegmentsBranch
0.32%3x
Compiler

Compiled 63 to 45 computations (28.6% saved)

bsearch34.0ms (0.4%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
16.0ms
5.53560473219934e-6
0.11881101479496496
18.0ms
-4.1088686510670565
-0.001115298394422376
Results
28.0ms256×body256valid
Compiler

Compiled 310 to 242 computations (21.9% saved)

regimes19.0ms (0.2%)

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

1 calls:

17.0ms
x
Results
ErrorSegmentsBranch
1.07%3x
Compiler

Compiled 57 to 41 computations (28.1% saved)

bsearch30.0ms (0.3%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
13.0ms
0.5085665285967462
2.275185407150115
17.0ms
-4.1088686510670565
-0.001115298394422376
Results
26.0ms224×body256valid
Compiler

Compiled 300 to 240 computations (20% saved)

regimes17.0ms (0.2%)

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

1 calls:

15.0ms
x
Results
ErrorSegmentsBranch
1.24%3x
Compiler

Compiled 37 to 25 computations (32.4% saved)

bsearch30.0ms (0.3%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
13.0ms
0.5085665285967462
2.275185407150115
17.0ms
-4.1088686510670565
-0.001115298394422376
Results
27.0ms224×body256valid
Compiler

Compiled 264 to 204 computations (22.7% saved)

regimes16.0ms (0.2%)

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

1 calls:

15.0ms
x
Results
ErrorSegmentsBranch
1.28%3x
Compiler

Compiled 28 to 18 computations (35.7% saved)

bsearch29.0ms (0.3%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
13.0ms
0.5085665285967462
2.275185407150115
17.0ms
-4.1088686510670565
-0.001115298394422376
Results
26.0ms224×body256valid
Compiler

Compiled 224 to 172 computations (23.2% saved)

regimes11.0ms (0.1%)

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

1 calls:

10.0ms
x
Results
ErrorSegmentsBranch
1.8%3x
Compiler

Compiled 12 to 7 computations (41.7% saved)

bsearch29.0ms (0.3%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
12.0ms
0.5085665285967462
2.275185407150115
17.0ms
-4.1088686510670565
-0.001115298394422376
Results
26.0ms224×body256valid
Compiler

Compiled 140 to 102 computations (27.1% saved)

regimes7.0ms (0.1%)

Accuracy

Total -46.7b remaining (-291%)

Threshold costs -46.7b (-291%)

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

1 calls:

6.0ms
x
Results
ErrorSegmentsBranch
25.06%2x
Compiler

Compiled 8 to 4 computations (50% saved)

bsearch12.0ms (0.1%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
12.0ms
0.5085665285967462
2.275185407150115
Results
11.0ms96×body256valid
Compiler

Compiled 68 to 46 computations (32.4% saved)

simplify16.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
073539
194539
2106539
3112539
4114539
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 x -1080863910568919/144115188075855872) (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (if (<=.f64 x 4496393867966703/576460752303423488) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x)) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -564931537257355/576460752303423488) (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (if (<=.f64 x 5072854620270127/4611686018427387904) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -4278419646001971/4503599627370496) (neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))) (if (<=.f64 x 5072854620270127/4611686018427387904) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -4278419646001971/4503599627370496) (neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))) (if (<=.f64 x 1080863910568919/1125899906842624) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) (log.f64 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))))))
(if (<=.f64 x -4278419646001971/4503599627370496) (neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))) (if (<=.f64 x 5/4) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) (log.f64 (+.f64 x x))))
(if (<=.f64 x -5854679515581645/4503599627370496) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5/4) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) (log.f64 (+.f64 x x))))
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5/4) x (log.f64 (+.f64 x x))))
(if (<=.f64 x 5/4) x (log.f64 (+.f64 x x)))
x
Outputs
(if (<=.f64 x -1080863910568919/144115188075855872) (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (if (<=.f64 x 4496393867966703/576460752303423488) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x)) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -1080863910568919/144115188075855872) (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (if (<=.f64 x 4496393867966703/576460752303423488) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 x (*.f64 3/40 (pow.f64 x 5)))) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -564931537257355/576460752303423488) (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (if (<=.f64 x 5072854620270127/4611686018427387904) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -564931537257355/576460752303423488) (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (if (<=.f64 x 5072854620270127/4611686018427387904) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -4278419646001971/4503599627370496) (neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))) (if (<=.f64 x 5072854620270127/4611686018427387904) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -4278419646001971/4503599627370496) (neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))) (if (<=.f64 x 5072854620270127/4611686018427387904) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -4278419646001971/4503599627370496) (neg.f64 (log.f64 (+.f64 (*.f64 x -2) (/.f64 -1/2 x)))) (if (<=.f64 x 5072854620270127/4611686018427387904) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -4278419646001971/4503599627370496) (neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))) (if (<=.f64 x 1080863910568919/1125899906842624) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) (log.f64 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))))))
(if (<=.f64 x -4278419646001971/4503599627370496) (neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))) (if (<=.f64 x 1080863910568919/1125899906842624) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (log.f64 (+.f64 (*.f64 x 2) (*.f64 1/2 (/.f64 1 x))))))
(if (<=.f64 x -4278419646001971/4503599627370496) (neg.f64 (log.f64 (+.f64 (*.f64 x -2) (/.f64 -1/2 x)))) (if (<=.f64 x 1080863910568919/1125899906842624) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (log.f64 (+.f64 (*.f64 x 2) (*.f64 1/2 (/.f64 1 x))))))
(if (<=.f64 x -4278419646001971/4503599627370496) (neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))) (if (<=.f64 x 5/4) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) (log.f64 (+.f64 x x))))
(if (<=.f64 x -4278419646001971/4503599627370496) (neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))) (if (<=.f64 x 5/4) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (log.f64 (+.f64 x x))))
(if (<=.f64 x -4278419646001971/4503599627370496) (neg.f64 (log.f64 (+.f64 (*.f64 x -2) (/.f64 -1/2 x)))) (if (<=.f64 x 5/4) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (log.f64 (+.f64 x x))))
(if (<=.f64 x -5854679515581645/4503599627370496) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5/4) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) (log.f64 (+.f64 x x))))
(if (<=.f64 x -5854679515581645/4503599627370496) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5/4) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (log.f64 (+.f64 x x))))
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5/4) x (log.f64 (+.f64 x x))))
(if (<=.f64 x 5/4) x (log.f64 (+.f64 x x)))
x
Compiler

Compiled 213 to 154 computations (27.7% saved)

soundness170.0ms (1.8%)

Algorithm
5×egg-herbie
Rules
1522×associate-/r*
1398×associate-/l*
1258×associate-+l-
1152×fma-def
1062×associate-+r-
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01023
11617
21717
02162461
15592087
220261941
370891941
03053606
18353258
233143258
01023
11617
21717
01023
11617
21717
Stop Event
1×saturated
1×saturated
1×node limit
1×node limit
1×saturated
Compiler

Compiled 256 to 171 computations (33.2% saved)

end126.0ms (1.3%)

Compiler

Compiled 205 to 140 computations (31.7% saved)

Profiling

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