Details

Time bar (total: 10.1s)

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)

sample3.2s (31.2%)

Results
1.6s2551×body1024valid
740.0ms1219×body2048valid
409.0ms1299×body512valid
397.0ms3142×body256valid
27.0ms45×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
46.2b
Counts
4 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶46.2b
(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
✓0.7b
(+.f64 x (hypot.f64 1 x))
✓2.6b
(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))

rewrite68.0ms (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))))))

simplify77.0ms (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))

eval44.0ms (0.4%)

Compiler

Compiled 1894 to 1401 computations (26% saved)

prune25.0ms (0.2%)

Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New12710137
Fresh000
Picked011
Done000
Total12711138
Error
0.0b
Counts
138 → 11
Alt Table
Click to see full alt table
StatusErrorProgram
30.2b
(+.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)))
▶29.9b
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x))
▶30.4b
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
▶47.9b
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
44.2b
(log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))
47.9b
(log.f64 (/.f64 -1/2 x))
▶46.2b
(log.f64 (-.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) 1))
49.1b
(log.f64 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))))
✓46.2b
(log.f64 (+.f64 x (hypot.f64 1 x)))
▶49.8b
(log.f64 (+.f64 x x))
29.0b
x
Compiler

Compiled 191 to 150 computations (21.5% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (*.f64 3/40 (pow.f64 x 5)) x)
✓0.1b
(*.f64 -1/6 (pow.f64 x 3))
✓0.3b
(*.f64 3/40 (pow.f64 x 5))
✓18.4b
(+.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 3/40 (pow.f64 x 5))
0.0ms
x
@0
(*.f64 -1/6 (pow.f64 x 3))
0.0ms
x
@0
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x))
0.0ms
x
@inf
(*.f64 3/40 (pow.f64 x 5))

rewrite108.0ms (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 3/40 (pow.f64 x 5))
(*.f64 -1/6 (pow.f64 x 3))
(+.f64 (*.f64 3/40 (pow.f64 x 5)) x)
Outputs
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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)))))))

simplify165.0ms (1.6%)

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 729/4096000000 (pow.f64 (pow.f64 x 10) 3)) (pow.f64 x 6)) (*.f64 (-.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 (-.f64 (*.f64 729/4096000000 (pow.f64 (pow.f64 x 10) 3)) (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 (-.f64 (*.f64 729/4096000000 (pow.f64 (pow.f64 x 10) 3)) (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 6) (*.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)) (fma.f64 (sqrt.f64 3/40) (pow.f64 x 5/2) (neg.f64 (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)

localize4.0ms (0%)

Compiler

Compiled 9 to 3 computations (66.7% saved)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
0.1b
(*.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)

rewrite58.0ms (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)))))))

simplify54.0ms (0.5%)

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)

localize15.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.1b
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
Compiler

Compiled 20 to 16 computations (20% saved)

series56.0ms (0.6%)

Counts
1 → 8
Calls

3 calls:

TimeVariablePointExpression
36.0ms
x
@0
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
11.0ms
x
@-inf
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
10.0ms
x
@inf
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))

rewrite80.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
830×*-commutative
702×associate-*r/
624×unswap-sqr
520×associate-*l/
466×swap-sqr
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01017
120811
2252011
Stop Event
1×node limit
Counts
1 → 89
Calls
Call 1
Inputs
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
Outputs
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simplify80.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
1902×distribute-lft-in
1882×distribute-rgt-in
480×associate-+l+
456×+-commutative
390×associate-/l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02745057
17464745
235364703
Stop Event
1×node limit
Counts
97 → 153
Calls
Call 1
Inputs
(+.f64 (log.f64 -1) (+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 x))))
(+.f64 (log.f64 -1) (+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 x))))
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(+.f64 (log.f64 (/.f64 1 x)) (+.f64 (log.f64 -1) (log.f64 1/2)))
(+.f64 (log.f64 (/.f64 1 x)) (+.f64 (log.f64 -1) (log.f64 1/2)))
(+.f64 (log.f64 (/.f64 1 x)) (+.f64 (log.f64 -1) (log.f64 1/2)))
(-.f64 (log.f64 -1) (-.f64 (log.f64 x) (log.f64 1/2)))
(-.f64 0 (-.f64 (log.f64 (neg.f64 x)) (log.f64 1/2)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 -1/2 x)))) 1)
(-.f64 (exp.f64 (log1p.f64 (log.f64 1/2))) (-.f64 1 (log.f64 (/.f64 -1 x))))
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(/.f64 (+.f64 (pow.f64 (log.f64 1/2) 2) (*.f64 (log.f64 (/.f64 -1 x)) (log.f64 (/.f64 -1 (*.f64 1/2 x))))) (/.f64 (+.f64 (pow.f64 (log.f64 1/2) 2) (*.f64 (log.f64 (/.f64 -1 x)) (log.f64 (/.f64 -1 (*.f64 1/2 x))))) (log.f64 (/.f64 -1/2 x))))
(/.f64 (sqrt.f64 (*.f64 (log.f64 (/.f64 -1/2 x)) (log.f64 (/.f64 -1 (*.f64 1/2 x))))) (/.f64 (log.f64 (/.f64 -1 (*.f64 1/2 x))) (sqrt.f64 (*.f64 (log.f64 (/.f64 -1/2 x)) (log.f64 (/.f64 -1 (*.f64 1/2 x)))))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 3) (pow.f64 (log.f64 1/2) 3))) (/.f64 (+.f64 (pow.f64 (log.f64 1/2) 2) (*.f64 (log.f64 (/.f64 -1 x)) (log.f64 (/.f64 -1 (*.f64 1/2 x))))) (sqrt.f64 (+.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 3) (pow.f64 (log.f64 1/2) 3)))))
(/.f64 (*.f64 (cbrt.f64 (*.f64 (log.f64 (/.f64 -1/2 x)) (log.f64 (/.f64 -1 (*.f64 1/2 x))))) (cbrt.f64 (*.f64 (log.f64 (/.f64 -1/2 x)) (log.f64 (/.f64 -1 (*.f64 1/2 x)))))) (/.f64 (log.f64 (/.f64 -1 (*.f64 1/2 x))) (cbrt.f64 (*.f64 (log.f64 (/.f64 -1/2 x)) (log.f64 (/.f64 -1 (*.f64 1/2 x)))))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 3) (pow.f64 (log.f64 1/2) 3))) (cbrt.f64 (+.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 3) (pow.f64 (log.f64 1/2) 3)))) (/.f64 (+.f64 (pow.f64 (log.f64 1/2) 2) (*.f64 (log.f64 (/.f64 -1 x)) (log.f64 (/.f64 -1 (*.f64 1/2 x))))) (cbrt.f64 (+.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 3) (pow.f64 (log.f64 1/2) 3)))))
(/.f64 (-.f64 (pow.f64 (log.f64 1/2) 2) (pow.f64 (log.f64 (/.f64 -1 x)) 2)) (-.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))))
(/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 6) (pow.f64 (log.f64 1/2) 6)) (*.f64 (+.f64 (pow.f64 (log.f64 1/2) 2) (*.f64 (log.f64 (/.f64 -1 x)) (log.f64 (/.f64 -1 (*.f64 1/2 x))))) (-.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 3) (pow.f64 (log.f64 1/2) 3))))
(/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 4) (pow.f64 (log.f64 1/2) 4)) (*.f64 (log.f64 (/.f64 -1 (*.f64 1/2 x))) (+.f64 (pow.f64 (log.f64 1/2) 2) (pow.f64 (log.f64 (/.f64 -1 x)) 2))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 3) 3) (pow.f64 (pow.f64 (log.f64 1/2) 3) 3)) (*.f64 (+.f64 (pow.f64 (log.f64 1/2) 2) (*.f64 (log.f64 (/.f64 -1 x)) (log.f64 (/.f64 -1 (*.f64 1/2 x))))) (+.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 6) (-.f64 (pow.f64 (log.f64 1/2) 6) (*.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 3) (pow.f64 (log.f64 1/2) 3))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 2) 3) (pow.f64 (pow.f64 (log.f64 1/2) 2) 3)) (*.f64 (log.f64 (/.f64 -1 (*.f64 1/2 x))) (+.f64 (+.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 4) (pow.f64 (log.f64 1/2) 4)) (pow.f64 (*.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 2))))
(/.f64 (*.f64 (log.f64 (/.f64 -1/2 x)) (neg.f64 (log.f64 (/.f64 -1 (*.f64 1/2 x))))) (neg.f64 (log.f64 (/.f64 -1 (*.f64 1/2 x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 3) (pow.f64 (log.f64 1/2) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 1/2) 2) (*.f64 (log.f64 (/.f64 -1 x)) (log.f64 (/.f64 -1 (*.f64 1/2 x)))))))
(/.f64 (*.f64 (sqrt.f64 (log.f64 (/.f64 -1/2 x))) (sqrt.f64 (*.f64 (log.f64 (/.f64 -1/2 x)) (log.f64 (/.f64 -1 (*.f64 1/2 x)))))) (sqrt.f64 (log.f64 (/.f64 -1 (*.f64 1/2 x)))))
(/.f64 (*.f64 (sqrt.f64 (log.f64 (/.f64 -1/2 x))) (sqrt.f64 (+.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 3) (pow.f64 (log.f64 1/2) 3)))) (sqrt.f64 (+.f64 (pow.f64 (log.f64 1/2) 2) (*.f64 (log.f64 (/.f64 -1 x)) (log.f64 (/.f64 -1 (*.f64 1/2 x)))))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 -1/2 x))) 2) (cbrt.f64 (*.f64 (log.f64 (/.f64 -1/2 x)) (log.f64 (/.f64 -1 (*.f64 1/2 x)))))) (cbrt.f64 (log.f64 (/.f64 -1 (*.f64 1/2 x)))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 -1/2 x))) 2) (cbrt.f64 (+.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 3) (pow.f64 (log.f64 1/2) 3)))) (cbrt.f64 (+.f64 (pow.f64 (log.f64 1/2) 2) (*.f64 (log.f64 (/.f64 -1 x)) (log.f64 (/.f64 -1 (*.f64 1/2 x)))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 1/2) 2) (pow.f64 (log.f64 (/.f64 -1 x)) 2)) 1) (-.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))))
(/.f64 (*.f64 (*.f64 (log.f64 (/.f64 -1/2 x)) (neg.f64 (log.f64 (/.f64 -1 (*.f64 1/2 x))))) 1) (neg.f64 (log.f64 (/.f64 -1 (*.f64 1/2 x)))))
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 3) (pow.f64 (log.f64 1/2) 3))) 1) (neg.f64 (+.f64 (pow.f64 (log.f64 1/2) 2) (*.f64 (log.f64 (/.f64 -1 x)) (log.f64 (/.f64 -1 (*.f64 1/2 x)))))))
(/.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 (/.f64 -1/2 x)) (log.f64 (/.f64 -1 (*.f64 1/2 x))))) (sqrt.f64 (log.f64 (/.f64 -1/2 x)))) (sqrt.f64 (log.f64 (/.f64 -1 (*.f64 1/2 x)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 3) (pow.f64 (log.f64 1/2) 3))) (sqrt.f64 (log.f64 (/.f64 -1/2 x)))) (sqrt.f64 (+.f64 (pow.f64 (log.f64 1/2) 2) (*.f64 (log.f64 (/.f64 -1 x)) (log.f64 (/.f64 -1 (*.f64 1/2 x)))))))
(/.f64 (*.f64 (cbrt.f64 (*.f64 (log.f64 (/.f64 -1/2 x)) (log.f64 (/.f64 -1 (*.f64 1/2 x))))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 -1/2 x))) 2)) (cbrt.f64 (log.f64 (/.f64 -1 (*.f64 1/2 x)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 3) (pow.f64 (log.f64 1/2) 3))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 -1/2 x))) 2)) (cbrt.f64 (+.f64 (pow.f64 (log.f64 1/2) 2) (*.f64 (log.f64 (/.f64 -1 x)) (log.f64 (/.f64 -1 (*.f64 1/2 x)))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 4) (pow.f64 (log.f64 1/2) 4)) (/.f64 1 (log.f64 (/.f64 -1 (*.f64 1/2 x))))) (+.f64 (pow.f64 (log.f64 1/2) 2) (pow.f64 (log.f64 (/.f64 -1 x)) 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 2) 3) (pow.f64 (pow.f64 (log.f64 1/2) 2) 3)) (/.f64 1 (log.f64 (/.f64 -1 (*.f64 1/2 x))))) (+.f64 (+.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 4) (pow.f64 (log.f64 1/2) 4)) (pow.f64 (*.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 6) (pow.f64 (log.f64 1/2) 6)) (/.f64 1 (+.f64 (pow.f64 (log.f64 1/2) 2) (*.f64 (log.f64 (/.f64 -1 x)) (log.f64 (/.f64 -1 (*.f64 1/2 x))))))) (-.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 3) (pow.f64 (log.f64 1/2) 3)))
(/.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 3) 3) (pow.f64 (pow.f64 (log.f64 1/2) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 1/2) 2) (*.f64 (log.f64 (/.f64 -1 x)) (log.f64 (/.f64 -1 (*.f64 1/2 x))))))) (+.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 6) (-.f64 (pow.f64 (log.f64 1/2) 6) (*.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 3) (pow.f64 (log.f64 1/2) 3)))))
(/.f64 (/.f64 (*.f64 (log.f64 (/.f64 -1/2 x)) (log.f64 (/.f64 -1 (*.f64 1/2 x)))) 1) (log.f64 (/.f64 -1 (*.f64 1/2 x))))
(/.f64 (/.f64 (*.f64 (log.f64 (/.f64 -1/2 x)) (log.f64 (/.f64 -1 (*.f64 1/2 x)))) (sqrt.f64 (log.f64 (/.f64 -1 (*.f64 1/2 x))))) (sqrt.f64 (log.f64 (/.f64 -1 (*.f64 1/2 x)))))
(/.f64 (/.f64 (*.f64 (log.f64 (/.f64 -1/2 x)) (log.f64 (/.f64 -1 (*.f64 1/2 x)))) (*.f64 (cbrt.f64 (log.f64 (/.f64 -1 (*.f64 1/2 x)))) (cbrt.f64 (log.f64 (/.f64 -1 (*.f64 1/2 x)))))) (cbrt.f64 (log.f64 (/.f64 -1 (*.f64 1/2 x)))))
(/.f64 (/.f64 (*.f64 (log.f64 (/.f64 -1/2 x)) (log.f64 (/.f64 -1 (*.f64 1/2 x)))) (+.f64 (sqrt.f64 (log.f64 1/2)) (sqrt.f64 (log.f64 (/.f64 -1 x))))) (-.f64 (sqrt.f64 (log.f64 (/.f64 -1 x))) (sqrt.f64 (log.f64 1/2))))
(/.f64 (/.f64 (+.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 3) (pow.f64 (log.f64 1/2) 3)) 1) (+.f64 (pow.f64 (log.f64 1/2) 2) (*.f64 (log.f64 (/.f64 -1 x)) (log.f64 (/.f64 -1 (*.f64 1/2 x))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 3) (pow.f64 (log.f64 1/2) 3)) (sqrt.f64 (+.f64 (pow.f64 (log.f64 1/2) 2) (*.f64 (log.f64 (/.f64 -1 x)) (log.f64 (/.f64 -1 (*.f64 1/2 x))))))) (sqrt.f64 (+.f64 (pow.f64 (log.f64 1/2) 2) (*.f64 (log.f64 (/.f64 -1 x)) (log.f64 (/.f64 -1 (*.f64 1/2 x)))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 3) (pow.f64 (log.f64 1/2) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (log.f64 1/2) 2) (*.f64 (log.f64 (/.f64 -1 x)) (log.f64 (/.f64 -1 (*.f64 1/2 x)))))) (cbrt.f64 (+.f64 (pow.f64 (log.f64 1/2) 2) (*.f64 (log.f64 (/.f64 -1 x)) (log.f64 (/.f64 -1 (*.f64 1/2 x)))))))) (cbrt.f64 (+.f64 (pow.f64 (log.f64 1/2) 2) (*.f64 (log.f64 (/.f64 -1 x)) (log.f64 (/.f64 -1 (*.f64 1/2 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 (/.f64 (*.f64 (log.f64 (/.f64 -1/2 x)) (log.f64 (/.f64 -1 (*.f64 1/2 x)))) (neg.f64 (log.f64 (/.f64 -1 (*.f64 1/2 x))))))
(neg.f64 (/.f64 (+.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 3) (pow.f64 (log.f64 1/2) 3)) (neg.f64 (+.f64 (pow.f64 (log.f64 1/2) 2) (*.f64 (log.f64 (/.f64 -1 x)) (log.f64 (/.f64 -1 (*.f64 1/2 x))))))))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 -1/2 x)) 2))
(log.f64 (/.f64 -1/2 x))
(log.f64 (-.f64 (+.f64 1 (/.f64 -1/2 x)) 1))
(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))
(fma.f64 1 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(fma.f64 1 (log.f64 1/2) (log.f64 (/.f64 -1 x)))
(fma.f64 (sqrt.f64 (log.f64 1/2)) (sqrt.f64 (log.f64 1/2)) (log.f64 (/.f64 -1 x)))
(fma.f64 (sqrt.f64 (log.f64 (/.f64 -1 x))) (sqrt.f64 (log.f64 (/.f64 -1 x))) (log.f64 1/2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 1/2)) 2) (cbrt.f64 (log.f64 1/2)) (log.f64 (/.f64 -1 x)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 -1 x))) 2) (cbrt.f64 (log.f64 (/.f64 -1 x))) (log.f64 1/2))
Outputs
(+.f64 (log.f64 -1) (+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 x))))
(+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 -1) (+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 x))))
(+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 -1) (+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 x))))
(+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 -1) (+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 x))))
(+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 (/.f64 1 x)) (+.f64 (log.f64 -1) (log.f64 1/2)))
(+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 (/.f64 1 x)) (+.f64 (log.f64 -1) (log.f64 1/2)))
(+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 (/.f64 1 x)) (+.f64 (log.f64 -1) (log.f64 1/2)))
(+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 (/.f64 1 x)) (+.f64 (log.f64 -1) (log.f64 1/2)))
(+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x)))
(-.f64 (log.f64 -1) (-.f64 (log.f64 x) (log.f64 1/2)))
(+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x)))
(-.f64 0 (-.f64 (log.f64 (neg.f64 x)) (log.f64 1/2)))
(neg.f64 (-.f64 (log.f64 (neg.f64 x)) (log.f64 1/2)))
(-.f64 (log.f64 1/2) (log.f64 (neg.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 -1/2 x)))) 1)
(log.f64 (/.f64 -1/2 x))
(-.f64 (exp.f64 (log1p.f64 (log.f64 1/2))) (-.f64 1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 (/.f64 -1 x)) (expm1.f64 (log1p.f64 (log.f64 1/2))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 -1 x)))) (-.f64 1 (log.f64 1/2)))
(+.f64 (-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 -1 x)))) 1) (log.f64 1/2))
(+.f64 (log.f64 1/2) (expm1.f64 (log1p.f64 (log.f64 (/.f64 -1 x)))))
(-.f64 (+.f64 (log.f64 1/2) (log.f64 -1)) (log.f64 x))
(+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x)))
(-.f64 (/.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 2) (log.f64 (/.f64 -1 (*.f64 1/2 x)))) (/.f64 (pow.f64 (log.f64 1/2) 2) (log.f64 (/.f64 -1 (*.f64 1/2 x)))))
(-.f64 (/.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 2) (log.f64 (/.f64 -2 x))) (/.f64 (pow.f64 (log.f64 1/2) 2) (log.f64 (/.f64 -2 x))))
(-.f64 (+.f64 (log.f64 1/2) 0) (log.f64 (neg.f64 x)))
(neg.f64 (-.f64 (log.f64 (neg.f64 x)) (log.f64 1/2)))
(-.f64 (log.f64 1/2) (log.f64 (neg.f64 x)))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (exp.f64 (log1p.f64 (log.f64 1/2)))) 1)
(-.f64 (exp.f64 (log1p.f64 (log.f64 1/2))) (-.f64 1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 (/.f64 -1 x)) (expm1.f64 (log1p.f64 (log.f64 1/2))))
(-.f64 (+.f64 (log.f64 1/2) (exp.f64 (log1p.f64 (log.f64 (/.f64 -1 x))))) 1)
(+.f64 (-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 -1 x)))) 1) (log.f64 1/2))
(+.f64 (log.f64 1/2) (expm1.f64 (log1p.f64 (log.f64 (/.f64 -1 x)))))
(-.f64 (-.f64 (+.f64 (log.f64 1/2) (log.f64 -1)) (log.f64 (sqrt.f64 x))) (log.f64 (sqrt.f64 x)))
(-.f64 (+.f64 (log.f64 -1) (log.f64 1/2)) (+.f64 (log.f64 (sqrt.f64 x)) (log.f64 (sqrt.f64 x))))
(-.f64 (+.f64 (log.f64 -1) (log.f64 1/2)) (*.f64 2 (log.f64 (sqrt.f64 x))))
(+.f64 (log.f64 -1) (-.f64 (log.f64 1/2) (*.f64 2 (log.f64 (sqrt.f64 x)))))
(-.f64 (-.f64 (+.f64 (log.f64 1/2) (log.f64 -1)) 0) (log.f64 x))
(+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x)))
(-.f64 (-.f64 (+.f64 (log.f64 1/2) (log.f64 -1)) (log.f64 (pow.f64 (cbrt.f64 x) 2))) (log.f64 (cbrt.f64 x)))
(-.f64 (+.f64 (log.f64 -1) (log.f64 1/2)) (+.f64 (*.f64 2 (log.f64 (cbrt.f64 x))) (log.f64 (cbrt.f64 x))))
(-.f64 (+.f64 (log.f64 -1) (log.f64 1/2)) (*.f64 3 (log.f64 (cbrt.f64 x))))
(+.f64 (log.f64 -1) (-.f64 (log.f64 1/2) (*.f64 3 (log.f64 (cbrt.f64 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 (log.f64 (/.f64 -1/2 x)) (log.f64 (/.f64 -1 (*.f64 1/2 x)))) (/.f64 1 (log.f64 (/.f64 -1 (*.f64 1/2 x)))))
(log.f64 (/.f64 -1/2 x))
(*.f64 (+.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 3) (pow.f64 (log.f64 1/2) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 1/2) 2) (*.f64 (log.f64 (/.f64 -1 x)) (log.f64 (/.f64 -1 (*.f64 1/2 x)))))))
(*.f64 (+.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 3) (pow.f64 (log.f64 1/2) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 1/2) 2) (*.f64 (log.f64 (/.f64 -1 x)) (log.f64 (/.f64 -2 x))))))
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(*.f64 (+.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 3) (pow.f64 (log.f64 1/2) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 1/2) 2) (*.f64 (log.f64 (/.f64 -1 x)) (log.f64 (/.f64 -2 x))))))
(/.f64 (+.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 3) (pow.f64 (log.f64 1/2) 3)) (fma.f64 (log.f64 (/.f64 -1 x)) (log.f64 (/.f64 -2 x)) (pow.f64 (log.f64 1/2) 2)))
(/.f64 (/.f64 (+.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 3) (pow.f64 (log.f64 1/2) 3)) (sqrt.f64 (+.f64 (pow.f64 (log.f64 1/2) 2) (*.f64 (log.f64 (/.f64 -1 x)) (log.f64 (/.f64 -1 (*.f64 1/2 x))))))) (sqrt.f64 (+.f64 (pow.f64 (log.f64 1/2) 2) (*.f64 (log.f64 (/.f64 -1 x)) (log.f64 (/.f64 -1 (*.f64 1/2 x)))))))
(*.f64 (+.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 3) (pow.f64 (log.f64 1/2) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 1/2) 2) (*.f64 (log.f64 (/.f64 -1 x)) (log.f64 (/.f64 -2 x))))))
(/.f64 (+.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 3) (pow.f64 (log.f64 1/2) 3)) (fma.f64 (log.f64 (/.f64 -1 x)) (log.f64 (/.f64 -2 x)) (pow.f64 (log.f64 1/2) 2)))
(/.f64 (/.f64 (+.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 3) (pow.f64 (log.f64 1/2) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (log.f64 1/2) 2) (*.f64 (log.f64 (/.f64 -1 x)) (log.f64 (/.f64 -1 (*.f64 1/2 x)))))) (cbrt.f64 (+.f64 (pow.f64 (log.f64 1/2) 2) (*.f64 (log.f64 (/.f64 -1 x)) (log.f64 (/.f64 -1 (*.f64 1/2 x)))))))) (cbrt.f64 (+.f64 (pow.f64 (log.f64 1/2) 2) (*.f64 (log.f64 (/.f64 -1 x)) (log.f64 (/.f64 -1 (*.f64 1/2 x)))))))
(*.f64 (+.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 3) (pow.f64 (log.f64 1/2) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 1/2) 2) (*.f64 (log.f64 (/.f64 -1 x)) (log.f64 (/.f64 -2 x))))))
(/.f64 (+.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 3) (pow.f64 (log.f64 1/2) 3)) (fma.f64 (log.f64 (/.f64 -1 x)) (log.f64 (/.f64 -2 x)) (pow.f64 (log.f64 1/2) 2)))
(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 (/.f64 (*.f64 (log.f64 (/.f64 -1/2 x)) (log.f64 (/.f64 -1 (*.f64 1/2 x)))) (neg.f64 (log.f64 (/.f64 -1 (*.f64 1/2 x))))))
(log.f64 (/.f64 -1/2 x))
(neg.f64 (/.f64 (+.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 3) (pow.f64 (log.f64 1/2) 3)) (neg.f64 (+.f64 (pow.f64 (log.f64 1/2) 2) (*.f64 (log.f64 (/.f64 -1 x)) (log.f64 (/.f64 -1 (*.f64 1/2 x))))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 3) (pow.f64 (log.f64 1/2) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 1/2) 2) (*.f64 (log.f64 (/.f64 -1 x)) (log.f64 (/.f64 -2 x))))))
(*.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 3) (pow.f64 (log.f64 1/2) 3)) (fma.f64 (log.f64 (/.f64 -1 x)) (log.f64 (/.f64 -2 x)) (pow.f64 (log.f64 1/2) 2))))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 -1/2 x)) 2))
(fabs.f64 (log.f64 (/.f64 -1/2 x)))
(log.f64 (/.f64 -1/2 x))
(log.f64 (-.f64 (+.f64 1 (/.f64 -1/2 x)) 1))
(log.f64 (+.f64 1 (+.f64 (/.f64 -1/2 x) -1)))
(log.f64 (+.f64 (/.f64 -1/2 x) 0))
(log.f64 (+.f64 0 (/.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))
(log.f64 (+.f64 1 (+.f64 (/.f64 -1/2 x) -1)))
(log.f64 (+.f64 (/.f64 -1/2 x) 0))
(log.f64 (+.f64 0 (/.f64 -1/2 x)))
(fma.f64 1 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x)))
(fma.f64 1 (log.f64 1/2) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x)))
(fma.f64 (sqrt.f64 (log.f64 1/2)) (sqrt.f64 (log.f64 1/2)) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x)))
(fma.f64 (sqrt.f64 (log.f64 (/.f64 -1 x))) (sqrt.f64 (log.f64 (/.f64 -1 x))) (log.f64 1/2))
(+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 1/2)) 2) (cbrt.f64 (log.f64 1/2)) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 -1 x))) 2) (cbrt.f64 (log.f64 (/.f64 -1 x))) (log.f64 1/2))
(+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x)))

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 1 (+.f64 x (hypot.f64 1 x)))
✓0.5b
(-.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) 1)
0.7b
(+.f64 x (hypot.f64 1 x))
✓2.3b
(log.f64 (-.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) 1))
Compiler

Compiled 37 to 27 computations (27% saved)

series1.0ms (0%)

Counts
3 → 36
Calls

9 calls:

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

rewrite102.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
1446×associate-*l/
1140×distribute-lft-in
884×*-commutative
436×associate-+l+
314×associate-/r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01073
122249
2313449
Stop Event
1×node limit
Counts
3 → 260
Calls
Call 1
Inputs
(log.f64 (-.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) 1))
(-.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) 1)
(+.f64 1 (+.f64 x (hypot.f64 1 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2))) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2))) (*.f64 1 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) (*.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 (pow.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) 2) -1)) (log.f64 (+.f64 x (+.f64 (hypot.f64 1 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 -1 (pow.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) 3))) (log.f64 (+.f64 (+.f64 x (hypot.f64 1 x)) (+.f64 2 (pow.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) 2)))))))) (#(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 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 0 (log.f64 (+.f64 (pow.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) 2) -1))) (log.f64 (+.f64 x (+.f64 (hypot.f64 1 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 0 (log.f64 (+.f64 -1 (pow.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) 3)))) (log.f64 (+.f64 (+.f64 x (hypot.f64 1 x)) (+.f64 2 (pow.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 0 (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 (+.f64 0 (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 0 (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 (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 *.f64 2 (log.f64 (sqrt.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 log1p.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 x (+.f64 (hypot.f64 1 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (hypot.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (+.f64 (hypot.f64 1 x) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (+.f64 (+.f64 1 (hypot.f64 1 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (+.f64 1 (+.f64 (hypot.f64 1 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (+.f64 (+.f64 (hypot.f64 1 x) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (-.f64 (+.f64 1 (hypot.f64 1 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (hypot.f64 1 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (hypot.f64 1 x) (+.f64 (+.f64 1 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (hypot.f64 1 x) (+.f64 (-.f64 x 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (hypot.f64 1 x)) 0)))) (#(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 0 (+.f64 x (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 x) (+.f64 (hypot.f64 1 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 x) (+.f64 (+.f64 (hypot.f64 1 x) -1) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 x) (*.f64 1 (+.f64 (hypot.f64 1 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (hypot.f64 1 x)) (-.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (hypot.f64 1 x)) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (hypot.f64 1 x) -1) (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -1 x) (+.f64 1 (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -1 (+.f64 1 x)) (hypot.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -1 (+.f64 1 (hypot.f64 1 x))) 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 (+.f64 1 (+.f64 x (hypot.f64 1 x))) 2) -1) (/.f64 1 (+.f64 x (+.f64 (hypot.f64 1 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) (pow.f64 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x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 x (hypot.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2) (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 1)))))

simplify196.0ms (1.9%)

Algorithm
1×egg-herbie
Rules
1072×distribute-lft-in
994×distribute-rgt-in
774×+-commutative
618×associate-*r*
572×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
075317470
1228716698
Stop Event
1×node limit
Counts
296 → 536
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))))
2
(+.f64 2 x)
(+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) x)))
(*.f64 2 x)
(+.f64 1 (*.f64 2 x))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 1 (*.f64 2 x)))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 1 (*.f64 2 x))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
1
(-.f64 1 (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 1 (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 1 (*.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)))))
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(-.f64 (log.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x)))) (log.f64 (-.f64 x (hypot.f64 1 x))))
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(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3)
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(+.f64 (+.f64 -1 (+.f64 1 (hypot.f64 1 x))) x)
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(*.f64 (/.f64 1 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))
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(*.f64 (/.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x))) (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x)))) (+.f64 x (hypot.f64 1 x)))
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(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) 2) -1) (-.f64 1 (pow.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) 2))) (-.f64 0 (+.f64 x (hypot.f64 1 x))))
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) 2) -1) (+.f64 1 (pow.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) 3))) (+.f64 (pow.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) 2) (-.f64 0 (+.f64 x (hypot.f64 1 x)))))
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(*.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (+.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)) 3))) (-.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)) (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))) (*.f64 (*.f64 x x) (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) 3)) (-.f64 (*.f64 (pow.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) 2) (pow.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) 2)) (*.f64 (+.f64 x (+.f64 (hypot.f64 1 x) 2)) (+.f64 x (+.f64 (hypot.f64 1 x) 2))))) (-.f64 (pow.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) 2) (+.f64 x (+.f64 (hypot.f64 1 x) 2))))
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(/.f64 1 (/.f64 1 (+.f64 x (hypot.f64 1 x))))
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(/.f64 (+.f64 x (hypot.f64 1 x)) 1)
(/.f64 (+.f64 x (hypot.f64 1 x)) (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 x (hypot.f64 1 x))))
(/.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x))) (-.f64 x (hypot.f64 1 x)))
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(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) 1) (-.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) 1)) (+.f64 1 (+.f64 x (hypot.f64 1 x))))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2)) (-.f64 1 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))) (+.f64 1 (+.f64 (+.f64 x (hypot.f64 1 x)) (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))))
(*.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3)) (-.f64 1 (*.f64 (-.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) (+.f64 x (hypot.f64 1 x))) (-.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) (+.f64 x (hypot.f64 1 x)))))) (+.f64 (-.f64 1 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2)) (+.f64 x (hypot.f64 1 x))))
(*.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3)) (+.f64 1 (pow.f64 (-.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) (+.f64 x (hypot.f64 1 x))) 3))) (+.f64 1 (-.f64 (*.f64 (-.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) (+.f64 x (hypot.f64 1 x))) (-.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) (+.f64 x (hypot.f64 1 x)))) (-.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) (+.f64 x (hypot.f64 1 x))))))
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) 1) (-.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 1)) (+.f64 1 (+.f64 (+.f64 x (hypot.f64 1 x)) (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))))
(/.f64 1 (/.f64 1 (+.f64 1 (+.f64 x (hypot.f64 1 x)))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2)) (-.f64 (-.f64 1 x) (hypot.f64 1 x)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3)) (+.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) (-.f64 (-.f64 1 x) (hypot.f64 1 x))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3)) (/.f64 (+.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) (-.f64 (-.f64 1 x) (hypot.f64 1 x))) 1))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))) (/.f64 (-.f64 (-.f64 1 x) (hypot.f64 1 x)) (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2)))))
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))) (/.f64 (+.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) (-.f64 (-.f64 1 x) (hypot.f64 1 x))) (sqrt.f64 (+.f64 1 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))) (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2)))) (/.f64 (-.f64 (-.f64 1 x) (hypot.f64 1 x)) (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))) (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3)))) (/.f64 (+.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) (-.f64 (-.f64 1 x) (hypot.f64 1 x))) (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3)))))
(/.f64 (-.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) 1) (+.f64 x (+.f64 (hypot.f64 1 x) -1)))
(/.f64 (-.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)) (+.f64 1 (*.f64 x x))) (+.f64 1 (-.f64 x (hypot.f64 1 x))))
(/.f64 (-.f64 1 (*.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))) (*.f64 (+.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) (-.f64 (-.f64 1 x) (hypot.f64 1 x))) (-.f64 1 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))))
(/.f64 (-.f64 1 (*.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))) (*.f64 (-.f64 (-.f64 1 x) (hypot.f64 1 x)) (+.f64 1 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))))
(/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (+.f64 1 x) 3)) (+.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)) (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 (hypot.f64 1 x) (+.f64 1 x)))))
(/.f64 (+.f64 1 (pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 3)) (*.f64 (+.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) (-.f64 (-.f64 1 x) (hypot.f64 1 x))) (+.f64 1 (-.f64 (*.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) (pow.f64 (+.f64 x (hypot.f64 1 x)) 3)) (pow.f64 (+.f64 x (hypot.f64 1 x)) 3)))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) 3)) (*.f64 (-.f64 (-.f64 1 x) (hypot.f64 1 x)) (+.f64 1 (+.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) (*.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))) (neg.f64 (-.f64 (-.f64 1 x) (hypot.f64 1 x))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) (-.f64 (-.f64 1 x) (hypot.f64 1 x)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) 1) 1) (+.f64 x (+.f64 (hypot.f64 1 x) -1)))
(/.f64 (*.f64 (-.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)) (+.f64 1 (*.f64 x x))) 1) (+.f64 1 (-.f64 x (hypot.f64 1 x))))
(/.f64 (*.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (+.f64 1 x) 3)) 1) (+.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)) (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 (hypot.f64 1 x) (+.f64 1 x)))))
(/.f64 (*.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))) 1) (neg.f64 (-.f64 (-.f64 1 x) (hypot.f64 1 x))))
(/.f64 (*.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))) 1) (neg.f64 (+.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) (-.f64 (-.f64 1 x) (hypot.f64 1 x)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))) (sqrt.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (-.f64 (-.f64 1 x) (hypot.f64 1 x))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))) (sqrt.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) (-.f64 (-.f64 1 x) (hypot.f64 1 x)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))) (pow.f64 (cbrt.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (-.f64 (-.f64 1 x) (hypot.f64 1 x))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))) (pow.f64 (cbrt.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) (-.f64 (-.f64 1 x) (hypot.f64 1 x)))))
(/.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))) (/.f64 1 (-.f64 (-.f64 1 x) (hypot.f64 1 x)))) (+.f64 1 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) 3)) (/.f64 1 (-.f64 (-.f64 1 x) (hypot.f64 1 x)))) (+.f64 1 (+.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) (*.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) (pow.f64 (+.f64 x (hypot.f64 1 x)) 2)))))
(/.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))) (/.f64 1 (+.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) (-.f64 (-.f64 1 x) (hypot.f64 1 x))))) (-.f64 1 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) (-.f64 (-.f64 1 x) (hypot.f64 1 x))))) (+.f64 1 (-.f64 (*.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) (pow.f64 (+.f64 x (hypot.f64 1 x)) 3)) (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2)) 1) (-.f64 (-.f64 1 x) (hypot.f64 1 x)))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) 1) 1) (+.f64 x (+.f64 (hypot.f64 1 x) -1)))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2)) (sqrt.f64 (-.f64 (-.f64 1 x) (hypot.f64 1 x)))) (sqrt.f64 (-.f64 (-.f64 1 x) (hypot.f64 1 x))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2)) (*.f64 (cbrt.f64 (-.f64 (-.f64 1 x) (hypot.f64 1 x))) (cbrt.f64 (-.f64 (-.f64 1 x) (hypot.f64 1 x))))) (cbrt.f64 (-.f64 (-.f64 1 x) (hypot.f64 1 x))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3)) 1) (+.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) (-.f64 (-.f64 1 x) (hypot.f64 1 x))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3)) (sqrt.f64 (+.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) (-.f64 (-.f64 1 x) (hypot.f64 1 x))))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) (-.f64 (-.f64 1 x) (hypot.f64 1 x)))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) (-.f64 (-.f64 1 x) (hypot.f64 1 x)))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) (-.f64 (-.f64 1 x) (hypot.f64 1 x)))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) (-.f64 (-.f64 1 x) (hypot.f64 1 x)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) 1) (sqrt.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1)))) (sqrt.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) 1) (*.f64 (cbrt.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1))) (cbrt.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1))))) (cbrt.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) 1) (+.f64 1 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) (-.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 1))
(pow.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) 1)
(pow.f64 (sqrt.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x)))) 2)
(pow.f64 (cbrt.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x)))) 3)
(pow.f64 (pow.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) 2))
(log.f64 (exp.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))))))
(cbrt.f64 (pow.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) 3))
(expm1.f64 (log.f64 (+.f64 x (+.f64 (hypot.f64 1 x) 2))))
(exp.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x))))
(log1p.f64 (expm1.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x)))))
(fma.f64 1 (+.f64 x (hypot.f64 1 x)) 1)
(fma.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2) (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 1)
Outputs
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x)))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (neg.f64 (neg.f64 (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))))
(fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (/.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 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 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (/.f64 (/.f64 1/4 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 (+.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (/.f64 (/.f64 1/4 x) x))) (/.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 (/.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 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (-.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 (*.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 (/.f64 1/4 x) x) (/.f64 5/96 (pow.f64 x 6))))))
1
(+.f64 1 x)
(+.f64 x 1)
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) x))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) x)))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (fma.f64 -1/8 (pow.f64 x 4) x)))
(*.f64 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))
(-.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 2 x (/.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 (fma.f64 2 x (/.f64 1/16 (pow.f64 x 5))) (+.f64 (/.f64 1/2 x) (/.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 (/.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)))))
2
(+.f64 2 x)
(+.f64 x 2)
(+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 2 (fma.f64 1/2 (*.f64 x x) x))
(+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) x)))
(+.f64 2 (fma.f64 1/2 (*.f64 x x) (fma.f64 -1/8 (pow.f64 x 4) x)))
(*.f64 2 x)
(*.f64 x 2)
(+.f64 x x)
(+.f64 1 (*.f64 2 x))
(+.f64 1 (*.f64 x 2))
(+.f64 1 (+.f64 x x))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 1 (*.f64 2 x)))
(+.f64 (+.f64 (/.f64 1/2 x) 1) (*.f64 x 2))
(+.f64 1 (fma.f64 2 x (/.f64 1/2 x)))
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(/.f64 (+.f64 1 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3)) (*.f64 (sqrt.f64 (+.f64 (-.f64 1 (+.f64 x (hypot.f64 1 x))) (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))) (sqrt.f64 (+.f64 (-.f64 1 (+.f64 x (hypot.f64 1 x))) (pow.f64 (+.f64 x (hypot.f64 1 x)) 2)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3)) (*.f64 (sqrt.f64 (+.f64 (-.f64 (-.f64 1 (hypot.f64 1 x)) x) (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))) (sqrt.f64 (+.f64 (-.f64 (-.f64 1 (hypot.f64 1 x)) x) (pow.f64 (+.f64 x (hypot.f64 1 x)) 2)))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) (-.f64 (-.f64 1 x) (hypot.f64 1 x)))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) (-.f64 (-.f64 1 x) (hypot.f64 1 x)))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) (-.f64 (-.f64 1 x) (hypot.f64 1 x)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3)) (*.f64 (cbrt.f64 (+.f64 (-.f64 1 (+.f64 x (hypot.f64 1 x))) (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))) (*.f64 (cbrt.f64 (+.f64 (-.f64 1 (+.f64 x (hypot.f64 1 x))) (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))) (cbrt.f64 (+.f64 (-.f64 1 (+.f64 x (hypot.f64 1 x))) (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3)) (*.f64 (cbrt.f64 (+.f64 (-.f64 (-.f64 1 (hypot.f64 1 x)) x) (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))) (*.f64 (cbrt.f64 (+.f64 (-.f64 (-.f64 1 (hypot.f64 1 x)) x) (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))) (cbrt.f64 (+.f64 (-.f64 (-.f64 1 (hypot.f64 1 x)) x) (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) 1) (sqrt.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1)))) (sqrt.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1))))
(/.f64 (+.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) -1) (*.f64 (sqrt.f64 (+.f64 x (+.f64 -1 (hypot.f64 1 x)))) (sqrt.f64 (+.f64 x (+.f64 -1 (hypot.f64 1 x))))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2)) (*.f64 (sqrt.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1))) (sqrt.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) 1) (*.f64 (cbrt.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1))) (cbrt.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1))))) (cbrt.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1))))
(/.f64 (+.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) -1) (*.f64 (cbrt.f64 (+.f64 x (+.f64 -1 (hypot.f64 1 x)))) (*.f64 (cbrt.f64 (+.f64 x (+.f64 -1 (hypot.f64 1 x)))) (cbrt.f64 (+.f64 x (+.f64 -1 (hypot.f64 1 x)))))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2)) (*.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1))) (*.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1))) (cbrt.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) 1) (+.f64 1 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) (-.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 1))
(/.f64 (+.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) -1) (*.f64 (+.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) -1) (+.f64 1 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2)) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (+.f64 -1 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) 1)
(+.f64 1 (+.f64 x (hypot.f64 1 x)))
(+.f64 x (+.f64 1 (hypot.f64 1 x)))
(pow.f64 (sqrt.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x)))) 2)
(+.f64 1 (+.f64 x (hypot.f64 1 x)))
(+.f64 x (+.f64 1 (hypot.f64 1 x)))
(pow.f64 (cbrt.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x)))) 3)
(+.f64 1 (+.f64 x (hypot.f64 1 x)))
(+.f64 x (+.f64 1 (hypot.f64 1 x)))
(pow.f64 (pow.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) 3) 1/3)
(+.f64 1 (+.f64 x (hypot.f64 1 x)))
(+.f64 x (+.f64 1 (hypot.f64 1 x)))
(sqrt.f64 (pow.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) 2))
(sqrt.f64 (pow.f64 (+.f64 x (+.f64 1 (hypot.f64 1 x))) 2))
(log.f64 (exp.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x)))))
(+.f64 1 (+.f64 x (hypot.f64 1 x)))
(+.f64 x (+.f64 1 (hypot.f64 1 x)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))))))
(+.f64 1 (+.f64 x (hypot.f64 1 x)))
(+.f64 x (+.f64 1 (hypot.f64 1 x)))
(cbrt.f64 (pow.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) 3))
(+.f64 1 (+.f64 x (hypot.f64 1 x)))
(+.f64 x (+.f64 1 (hypot.f64 1 x)))
(expm1.f64 (log.f64 (+.f64 x (+.f64 (hypot.f64 1 x) 2))))
(expm1.f64 (log.f64 (+.f64 x (+.f64 2 (hypot.f64 1 x)))))
(exp.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x))))
(log1p.f64 (expm1.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x)))))
(+.f64 1 (+.f64 x (hypot.f64 1 x)))
(+.f64 x (+.f64 1 (hypot.f64 1 x)))
(fma.f64 1 (+.f64 x (hypot.f64 1 x)) 1)
(+.f64 1 (+.f64 x (hypot.f64 1 x)))
(+.f64 x (+.f64 1 (hypot.f64 1 x)))
(fma.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 1)
(+.f64 1 (+.f64 x (hypot.f64 1 x)))
(+.f64 x (+.f64 1 (hypot.f64 1 x)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2) (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 1)
(+.f64 1 (+.f64 x (hypot.f64 1 x)))
(+.f64 x (+.f64 1 (hypot.f64 1 x)))

eval1.0s (9.9%)

Compiler

Compiled 31558 to 24791 computations (21.4% saved)

prune228.0ms (2.2%)

Pruning

14 alts after pruning (10 fresh and 4 done)

PrunedKeptTotal
New111851123
Fresh055
Picked101
Done145
Total1120141134
Error
0.0b
Counts
1134 → 14
Alt Table
Click to see full alt table
StatusErrorProgram
▶47.9b
(/.f64 1 (/.f64 1 (log.f64 (/.f64 -1/2 x))))
▶30.1b
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (/.f64 1 (/.f64 1 (fma.f64 3/40 (pow.f64 x 5) x))))
30.2b
(+.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)))
✓29.9b
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x))
✓30.4b
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
63.3b
(log1p.f64 (-.f64 (/.f64 -1/2 x) 1))
45.7b
(log1p.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1)))
▶15.5b
(log1p.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1)))
▶44.2b
(log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))
▶47.9b
(log.f64 (/.f64 -1/2 x))
49.1b
(log.f64 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))))
✓46.2b
(log.f64 (+.f64 x (hypot.f64 1 x)))
✓49.8b
(log.f64 (+.f64 x x))
29.0b
x
Compiler

Compiled 228 to 182 computations (20.2% saved)

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.5b
(log1p.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1)))
✓1.2b
(+.f64 (hypot.f64 1 x) -1)
✓2.0b
(+.f64 x (+.f64 (hypot.f64 1 x) -1))
Compiler

Compiled 27 to 20 computations (25.9% saved)

series1.0ms (0%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
0.0ms
x
@0
(log1p.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1)))
0.0ms
x
@inf
(log1p.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1)))
0.0ms
x
@-inf
(log1p.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1)))
0.0ms
x
@0
(+.f64 x (+.f64 (hypot.f64 1 x) -1))
0.0ms
x
@0
(+.f64 (hypot.f64 1 x) -1)

rewrite81.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
1008×associate-*r/
876×*-commutative
732×distribute-lft-in
720×associate-*l/
710×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01055
121155
2265555
Stop Event
1×node limit
Counts
3 → 173
Calls
Call 1
Inputs
(+.f64 x (+.f64 (hypot.f64 1 x) -1))
(+.f64 (hypot.f64 1 x) -1)
(log1p.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (hypot.f64 1 x)) (-.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x (+.f64 0 (hypot.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (+.f64 0 (hypot.f64 1 x)))) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (+.f64 (hypot.f64 1 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 1 (*.f64 x x)) (+.f64 1 (hypot.f64 1 x))) (-.f64 (/.f64 1 (+.f64 1 (hypot.f64 1 x))) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x (/.f64 (-.f64 x (+.f64 (hypot.f64 1 x) -1)) x)) (/.f64 (pow.f64 (+.f64 (hypot.f64 1 x) -1) 2) (-.f64 x (+.f64 (hypot.f64 1 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x (exp.f64 (log.f64 (+.f64 0 (hypot.f64 1 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x (/.f64 (+.f64 1 (*.f64 x x)) (+.f64 1 (hypot.f64 1 x)))) (/.f64 1 (+.f64 1 (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 (hypot.f64 1 x) -1) (exp.f64 (log1p.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x (+.f64 (hypot.f64 1 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1))) (sqrt.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1))) (pow.f64 (cbrt.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1))) 2) (cbrt.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 (hypot.f64 1 x) -1) 2)) (/.f64 1 (-.f64 x (+.f64 (hypot.f64 1 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 (hypot.f64 1 x) -1) 3)) (/.f64 1 (fma.f64 x x (*.f64 (+.f64 (hypot.f64 1 x) -1) (+.f64 (hypot.f64 1 x) (-.f64 -1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 x (+.f64 (hypot.f64 1 x) -1))) (-.f64 (*.f64 x x) (pow.f64 (+.f64 (hypot.f64 1 x) -1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x x (*.f64 (+.f64 (hypot.f64 1 x) -1) (+.f64 (hypot.f64 1 x) (-.f64 -1 x))))) (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 (hypot.f64 1 x) -1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 (hypot.f64 1 x) -1) 2)) (-.f64 (*.f64 x x) (pow.f64 (+.f64 (hypot.f64 1 x) -1) 2))) (+.f64 x (+.f64 (hypot.f64 1 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 (hypot.f64 1 x) -1) 2)) (-.f64 (pow.f64 x 3) (pow.f64 (+.f64 (hypot.f64 1 x) -1) 3))) (+.f64 (*.f64 x x) (*.f64 (+.f64 (hypot.f64 1 x) -1) (+.f64 x (+.f64 (hypot.f64 1 x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 (hypot.f64 1 x) -1) 3)) (-.f64 (*.f64 x (pow.f64 x 3)) (*.f64 (pow.f64 (+.f64 (hypot.f64 1 x) -1) 2) (*.f64 (+.f64 (hypot.f64 1 x) (-.f64 -1 x)) (+.f64 (hypot.f64 1 x) (-.f64 -1 x)))))) (-.f64 (*.f64 x x) (*.f64 (+.f64 (hypot.f64 1 x) -1) (+.f64 (hypot.f64 1 x) (-.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 (hypot.f64 1 x) -1) 3)) (+.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 (+.f64 (hypot.f64 1 x) -1) (+.f64 (hypot.f64 1 x) (-.f64 -1 x))) 3))) (+.f64 (*.f64 x (pow.f64 x 3)) (*.f64 (*.f64 (+.f64 (hypot.f64 1 x) -1) (+.f64 (hypot.f64 1 x) (-.f64 -1 x))) (-.f64 (*.f64 (+.f64 (hypot.f64 1 x) -1) (+.f64 (hypot.f64 1 x) (-.f64 -1 x))) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (+.f64 x (+.f64 (hypot.f64 1 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1)) (/.f64 (-.f64 x (+.f64 (hypot.f64 1 x) -1)) (-.f64 x (+.f64 (hypot.f64 1 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 (hypot.f64 1 x) -1) 2)) (-.f64 x (+.f64 (hypot.f64 1 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 (hypot.f64 1 x) -1) 3)) (fma.f64 x x (*.f64 (+.f64 (hypot.f64 1 x) -1) (+.f64 (hypot.f64 1 x) (-.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x x (*.f64 (+.f64 (hypot.f64 1 x) -1) (+.f64 (hypot.f64 1 x) (-.f64 -1 x)))) (/.f64 (fma.f64 x x (*.f64 (+.f64 (hypot.f64 1 x) -1) (+.f64 (hypot.f64 1 x) (-.f64 -1 x)))) (+.f64 x (+.f64 (hypot.f64 1 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 (hypot.f64 1 x) -1) 2))) (/.f64 (-.f64 x (+.f64 (hypot.f64 1 x) -1)) (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 (hypot.f64 1 x) -1) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 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(cbrt.f64 (+.f64 (+.f64 (*.f64 x x) 2) (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 x x) 0)) (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) -1)) 2)) (cbrt.f64 (+.f64 1 (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 (hypot.f64 1 x) (pow.f64 (hypot.f64 1 x) 3)) 1) (/.f64 1 (+.f64 1 (hypot.f64 1 x)))) (+.f64 (*.f64 x x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (+.f64 1 (*.f64 x x)) 3) 1) (/.f64 1 (+.f64 1 (hypot.f64 1 x)))) (+.f64 (*.f64 (hypot.f64 1 x) (pow.f64 (hypot.f64 1 x) 3)) (+.f64 (*.f64 x x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (hypot.f64 1 x) 3)) 1) (/.f64 1 (+.f64 (+.f64 (*.f64 x x) 2) (hypot.f64 1 x)))) (-.f64 (pow.f64 (hypot.f64 1 x) 3) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1 (pow.f64 (pow.f64 (hypot.f64 1 x) 3) 3)) (/.f64 1 (+.f64 (+.f64 (*.f64 x 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(2) ((x log.f64 (exp.f64 (+.f64 (hypot.f64 1 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (hypot.f64 1 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (hypot.f64 1 x) -1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (+.f64 0 (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (hypot.f64 1 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (hypot.f64 1 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (hypot.f64 1 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 1 (*.f64 x x))) (cbrt.f64 (hypot.f64 1 x)) -1)))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (+.f64 0 (hypot.f64 1 x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (+.f64 x (+.f64 0 (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (+.f64 x (+.f64 0 (hypot.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (+.f64 x (+.f64 0 (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (+.f64 x (+.f64 0 (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (+.f64 x (+.f64 0 (hypot.f64 1 x))))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (+.f64 0 (hypot.f64 1 x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (+.f64 0 (hypot.f64 1 x))))) 2) (cbrt.f64 (log.f64 (+.f64 x (+.f64 0 (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (+.f64 x (+.f64 0 (hypot.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (+.f64 x (+.f64 0 (hypot.f64 1 x))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (+.f64 x (+.f64 0 (hypot.f64 1 x))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (+.f64 x (+.f64 0 (hypot.f64 1 x)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (+.f64 x (+.f64 0 (hypot.f64 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 x (+.f64 0 (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (+.f64 x (+.f64 0 (hypot.f64 1 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (+.f64 x (+.f64 0 (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (+.f64 x (+.f64 0 (hypot.f64 1 x))))))))))

simplify137.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
794×associate-+l-
652×associate-+r-
622×associate-*r*
584×distribute-lft-in
548×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
053910029
116129101
273499101
Stop Event
1×node limit
Counts
209 → 356
Calls
Call 1
Inputs
x
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) x))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/16 (pow.f64 x 6)) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) x)))
(*.f64 2 x)
(-.f64 (*.f64 2 x) 1)
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 2 x)) 1)
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 2 x)) (+.f64 1 (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
-1
(neg.f64 (+.f64 1 (*.f64 1/2 (/.f64 1 x))))
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 1 x)) 1))
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 1 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))))))
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/8 (pow.f64 x 4)))
(+.f64 (*.f64 1/16 (pow.f64 x 6)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/8 (pow.f64 x 4))))
(+.f64 (*.f64 1/16 (pow.f64 x 6)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) (*.f64 -5/128 (pow.f64 x 8)))))
x
(-.f64 x 1)
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) x) 1)
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) x) (+.f64 1 (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(*.f64 -1 x)
(-.f64 (*.f64 -1 x) 1)
(-.f64 (*.f64 -1 x) (+.f64 (*.f64 1/2 (/.f64 1 x)) 1))
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 -1 x)) (+.f64 (*.f64 1/2 (/.f64 1 x)) 1))
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)))))
(-.f64 (+.f64 1 (hypot.f64 1 x)) (-.f64 1 (+.f64 x -1)))
(-.f64 (+.f64 x (+.f64 0 (hypot.f64 1 x))) 1)
(-.f64 (exp.f64 (log.f64 (+.f64 0 (hypot.f64 1 x)))) (-.f64 1 x))
(-.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (+.f64 (hypot.f64 1 x) -1)))
(-.f64 (/.f64 (+.f64 1 (*.f64 x x)) (+.f64 1 (hypot.f64 1 x))) (-.f64 (/.f64 1 (+.f64 1 (hypot.f64 1 x))) x))
(-.f64 (/.f64 x (/.f64 (-.f64 x (+.f64 (hypot.f64 1 x) -1)) x)) (/.f64 (pow.f64 (+.f64 (hypot.f64 1 x) -1) 2) (-.f64 x (+.f64 (hypot.f64 1 x) -1))))
(-.f64 (+.f64 x (exp.f64 (log.f64 (+.f64 0 (hypot.f64 1 x))))) 1)
(-.f64 (+.f64 x (/.f64 (+.f64 1 (*.f64 x x)) (+.f64 1 (hypot.f64 1 x)))) (/.f64 1 (+.f64 1 (hypot.f64 1 x))))
(-.f64 (+.f64 (+.f64 (hypot.f64 1 x) -1) (exp.f64 (log1p.f64 x))) 1)
(*.f64 1 (+.f64 x (+.f64 (hypot.f64 1 x) -1)))
(*.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1)) 1)
(*.f64 (sqrt.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1))) (sqrt.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1))))
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(*.f64 (/.f64 (+.f64 (*.f64 x x) 0) (-.f64 (pow.f64 (hypot.f64 1 x) 3) -1)) (+.f64 (+.f64 (*.f64 x x) 2) (neg.f64 (hypot.f64 1 x))))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (hypot.f64 1 x) 3)) (-.f64 (*.f64 (hypot.f64 1 x) (pow.f64 (hypot.f64 1 x) 3)) (*.f64 (+.f64 1 (hypot.f64 1 x)) (+.f64 1 (hypot.f64 1 x))))) (-.f64 (+.f64 (*.f64 x x) 0) (hypot.f64 1 x)))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (hypot.f64 1 x) 3)) (+.f64 (pow.f64 (+.f64 1 (*.f64 x x)) 3) (pow.f64 (+.f64 1 (hypot.f64 1 x)) 3))) (+.f64 (*.f64 (hypot.f64 1 x) (pow.f64 (hypot.f64 1 x) 3)) (*.f64 (+.f64 1 (hypot.f64 1 x)) (-.f64 (+.f64 1 (hypot.f64 1 x)) (+.f64 1 (*.f64 x x))))))
(/.f64 1 (/.f64 1 (+.f64 (hypot.f64 1 x) -1)))
(/.f64 (+.f64 (*.f64 x x) 0) (+.f64 1 (hypot.f64 1 x)))
(/.f64 (+.f64 1 (hypot.f64 1 x)) (/.f64 (+.f64 1 (hypot.f64 1 x)) (+.f64 (hypot.f64 1 x) -1)))
(/.f64 (+.f64 -1 (pow.f64 (hypot.f64 1 x) 3)) (+.f64 (+.f64 (*.f64 x x) 2) (hypot.f64 1 x)))
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (hypot.f64 1 x) 3))) (/.f64 (+.f64 (+.f64 (*.f64 x x) 2) (hypot.f64 1 x)) (sqrt.f64 (+.f64 -1 (pow.f64 (hypot.f64 1 x) 3)))))
(/.f64 (sqrt.f64 (+.f64 (*.f64 x x) 0)) (/.f64 (+.f64 1 (hypot.f64 1 x)) (sqrt.f64 (+.f64 (*.f64 x x) 0))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (hypot.f64 1 x) 3))) (cbrt.f64 (+.f64 -1 (pow.f64 (hypot.f64 1 x) 3)))) (/.f64 (+.f64 (+.f64 (*.f64 x x) 2) (hypot.f64 1 x)) (cbrt.f64 (+.f64 -1 (pow.f64 (hypot.f64 1 x) 3)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 x x) 0)) (cbrt.f64 (+.f64 (*.f64 x x) 0))) (/.f64 (+.f64 1 (hypot.f64 1 x)) (cbrt.f64 (+.f64 (*.f64 x x) 0))))
(/.f64 (-.f64 0 (*.f64 x x)) (-.f64 -1 (hypot.f64 1 x)))
(/.f64 (-.f64 (*.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (hypot.f64 1 x) 3)) 1) (*.f64 (+.f64 (+.f64 (*.f64 x x) 2) (hypot.f64 1 x)) (-.f64 (pow.f64 (hypot.f64 1 x) 3) -1)))
(/.f64 (-.f64 (*.f64 (hypot.f64 1 x) (pow.f64 (hypot.f64 1 x) 3)) 1) (*.f64 (+.f64 1 (hypot.f64 1 x)) (+.f64 (*.f64 x x) 2)))
(/.f64 (+.f64 -1 (pow.f64 (pow.f64 (hypot.f64 1 x) 3) 3)) (*.f64 (+.f64 (+.f64 (*.f64 x x) 2) (hypot.f64 1 x)) (-.f64 (+.f64 (*.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (hypot.f64 1 x) 3)) 1) (*.f64 -1 (pow.f64 (hypot.f64 1 x) 3)))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (*.f64 x x)) 3) 1) (*.f64 (+.f64 1 (hypot.f64 1 x)) (+.f64 (*.f64 (hypot.f64 1 x) (pow.f64 (hypot.f64 1 x) 3)) (+.f64 (*.f64 x x) 2))))
(/.f64 (neg.f64 (+.f64 (*.f64 x x) 0)) (neg.f64 (+.f64 1 (hypot.f64 1 x))))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (hypot.f64 1 x) 3))) (neg.f64 (+.f64 (+.f64 (*.f64 x x) 2) (hypot.f64 1 x))))
(/.f64 (*.f64 1 (-.f64 0 (*.f64 x x))) (-.f64 -1 (hypot.f64 1 x)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (hypot.f64 1 x) -1)) (sqrt.f64 (+.f64 -1 (pow.f64 (hypot.f64 1 x) 3)))) (sqrt.f64 (+.f64 (+.f64 (*.f64 x x) 2) (hypot.f64 1 x))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (hypot.f64 1 x) -1)) (sqrt.f64 (+.f64 (*.f64 x x) 0))) (sqrt.f64 (+.f64 1 (hypot.f64 1 x))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) -1)) 2) (cbrt.f64 (+.f64 -1 (pow.f64 (hypot.f64 1 x) 3)))) (cbrt.f64 (+.f64 (+.f64 (*.f64 x x) 2) (hypot.f64 1 x))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) -1)) 2) (cbrt.f64 (+.f64 (*.f64 x x) 0))) (cbrt.f64 (+.f64 1 (hypot.f64 1 x))))
(/.f64 (*.f64 (-.f64 0 (*.f64 x x)) 1) (-.f64 -1 (hypot.f64 1 x)))
(/.f64 (*.f64 (neg.f64 (+.f64 (*.f64 x x) 0)) 1) (neg.f64 (+.f64 1 (hypot.f64 1 x))))
(/.f64 (*.f64 (neg.f64 (+.f64 -1 (pow.f64 (hypot.f64 1 x) 3))) 1) (neg.f64 (+.f64 (+.f64 (*.f64 x x) 2) (hypot.f64 1 x))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (hypot.f64 1 x) 3))) (sqrt.f64 (+.f64 (hypot.f64 1 x) -1))) (sqrt.f64 (+.f64 (+.f64 (*.f64 x x) 2) (hypot.f64 1 x))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 x x) 0)) (sqrt.f64 (+.f64 (hypot.f64 1 x) -1))) (sqrt.f64 (+.f64 1 (hypot.f64 1 x))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (hypot.f64 1 x) 3))) (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) -1)) 2)) (cbrt.f64 (+.f64 (+.f64 (*.f64 x x) 2) (hypot.f64 1 x))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 x x) 0)) (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) -1)) 2)) (cbrt.f64 (+.f64 1 (hypot.f64 1 x))))
(/.f64 (*.f64 (-.f64 (*.f64 (hypot.f64 1 x) (pow.f64 (hypot.f64 1 x) 3)) 1) (/.f64 1 (+.f64 1 (hypot.f64 1 x)))) (+.f64 (*.f64 x x) 2))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 1 (*.f64 x x)) 3) 1) (/.f64 1 (+.f64 1 (hypot.f64 1 x)))) (+.f64 (*.f64 (hypot.f64 1 x) (pow.f64 (hypot.f64 1 x) 3)) (+.f64 (*.f64 x x) 2)))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (hypot.f64 1 x) 3)) 1) (/.f64 1 (+.f64 (+.f64 (*.f64 x x) 2) (hypot.f64 1 x)))) (-.f64 (pow.f64 (hypot.f64 1 x) 3) -1))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (pow.f64 (hypot.f64 1 x) 3) 3)) (/.f64 1 (+.f64 (+.f64 (*.f64 x x) 2) (hypot.f64 1 x)))) (-.f64 (+.f64 (*.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (hypot.f64 1 x) 3)) 1) (*.f64 -1 (pow.f64 (hypot.f64 1 x) 3))))
(/.f64 (/.f64 (+.f64 (*.f64 x x) 0) 1) (+.f64 1 (hypot.f64 1 x)))
(/.f64 (/.f64 (+.f64 (*.f64 x x) 0) (sqrt.f64 (+.f64 1 (hypot.f64 1 x)))) (sqrt.f64 (+.f64 1 (hypot.f64 1 x))))
(/.f64 (/.f64 (+.f64 (*.f64 x x) 0) (*.f64 (cbrt.f64 (+.f64 1 (hypot.f64 1 x))) (cbrt.f64 (+.f64 1 (hypot.f64 1 x))))) (cbrt.f64 (+.f64 1 (hypot.f64 1 x))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (hypot.f64 1 x) 3)) 1) (+.f64 (+.f64 (*.f64 x x) 2) (hypot.f64 1 x)))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (hypot.f64 1 x) 3)) (sqrt.f64 (+.f64 (+.f64 (*.f64 x x) 2) (hypot.f64 1 x)))) (sqrt.f64 (+.f64 (+.f64 (*.f64 x x) 2) (hypot.f64 1 x))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (hypot.f64 1 x) 3)) (*.f64 (cbrt.f64 (+.f64 (+.f64 (*.f64 x x) 2) (hypot.f64 1 x))) (cbrt.f64 (+.f64 (+.f64 (*.f64 x x) 2) (hypot.f64 1 x))))) (cbrt.f64 (+.f64 (+.f64 (*.f64 x x) 2) (hypot.f64 1 x))))
(pow.f64 (+.f64 (hypot.f64 1 x) -1) 1)
(pow.f64 (sqrt.f64 (+.f64 (hypot.f64 1 x) -1)) 2)
(pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) -1)) 3)
(pow.f64 (pow.f64 (+.f64 (hypot.f64 1 x) -1) 3) 1/3)
(neg.f64 (/.f64 (+.f64 (*.f64 x x) 0) (neg.f64 (+.f64 1 (hypot.f64 1 x)))))
(neg.f64 (/.f64 (+.f64 -1 (pow.f64 (hypot.f64 1 x) 3)) (neg.f64 (+.f64 (+.f64 (*.f64 x x) 2) (hypot.f64 1 x)))))
(sqrt.f64 (pow.f64 (+.f64 (hypot.f64 1 x) -1) 2))
(log.f64 (exp.f64 (+.f64 (hypot.f64 1 x) -1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (hypot.f64 1 x) -1))))
(cbrt.f64 (pow.f64 (+.f64 (hypot.f64 1 x) -1) 3))
(expm1.f64 (log.f64 (+.f64 0 (hypot.f64 1 x))))
(exp.f64 (log.f64 (+.f64 (hypot.f64 1 x) -1)))
(log1p.f64 (expm1.f64 (+.f64 (hypot.f64 1 x) -1)))
(fma.f64 1 (hypot.f64 1 x) -1)
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) -1)
(fma.f64 (cbrt.f64 (+.f64 1 (*.f64 x x))) (cbrt.f64 (hypot.f64 1 x)) -1)
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (+.f64 0 (hypot.f64 1 x)))))) 1)
(*.f64 1 (log.f64 (+.f64 x (+.f64 0 (hypot.f64 1 x)))))
(*.f64 (log.f64 (+.f64 x (+.f64 0 (hypot.f64 1 x)))) 1)
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (+.f64 0 (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (+.f64 x (+.f64 0 (hypot.f64 1 x))))))
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (+.f64 0 (hypot.f64 1 x))))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (+.f64 0 (hypot.f64 1 x))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (+.f64 0 (hypot.f64 1 x))))) 2) (cbrt.f64 (log.f64 (+.f64 x (+.f64 0 (hypot.f64 1 x))))))
(pow.f64 (log.f64 (+.f64 x (+.f64 0 (hypot.f64 1 x)))) 1)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (+.f64 0 (hypot.f64 1 x))))) 2)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (+.f64 0 (hypot.f64 1 x))))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (+.f64 0 (hypot.f64 1 x)))) 3) 1/3)
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (+.f64 0 (hypot.f64 1 x)))) 2))
(log.f64 (+.f64 x (+.f64 0 (hypot.f64 1 x))))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (+.f64 0 (hypot.f64 1 x)))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (+.f64 0 (hypot.f64 1 x))))))
(exp.f64 (log.f64 (log.f64 (+.f64 x (+.f64 0 (hypot.f64 1 x))))))
Outputs
x
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(fma.f64 1/2 (*.f64 x x) x)
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) x))
(fma.f64 1/2 (*.f64 x x) (fma.f64 -1/8 (pow.f64 x 4) x))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/16 (pow.f64 x 6)) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) x)))
(fma.f64 1/2 (*.f64 x x) (fma.f64 1/16 (pow.f64 x 6) (fma.f64 -1/8 (pow.f64 x 4) x)))
(*.f64 2 x)
(*.f64 x 2)
(-.f64 (*.f64 2 x) 1)
(fma.f64 2 x -1)
(fma.f64 x 2 -1)
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 2 x)) 1)
(+.f64 (/.f64 1/2 x) (fma.f64 2 x -1))
(+.f64 (fma.f64 x 2 -1) (/.f64 1/2 x))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 2 x)) (+.f64 1 (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 (/.f64 1/2 x) (fma.f64 2 x -1)) (/.f64 1/8 (pow.f64 x 3)))
(+.f64 (/.f64 1/2 x) (-.f64 (fma.f64 x 2 -1) (/.f64 1/8 (pow.f64 x 3))))
-1
(neg.f64 (+.f64 1 (*.f64 1/2 (/.f64 1 x))))
(neg.f64 (+.f64 1 (/.f64 1/2 x)))
(+.f64 -1 (/.f64 -1/2 x))
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 1 x)) 1))
(-.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 1 (/.f64 1/2 x)))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 -1 (/.f64 -1/2 x)))
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 1 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))))))
(-.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (+.f64 1 (/.f64 1/2 x)) (/.f64 1/16 (pow.f64 x 5))))
(-.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 1 (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5)))))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (*.f64 x x))
(*.f64 x (*.f64 x 1/2))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/8 (pow.f64 x 4)))
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/8 (pow.f64 x 4)))
(fma.f64 -1/8 (pow.f64 x 4) (*.f64 x (*.f64 x 1/2)))
(+.f64 (*.f64 1/16 (pow.f64 x 6)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/8 (pow.f64 x 4))))
(fma.f64 1/16 (pow.f64 x 6) (fma.f64 1/2 (*.f64 x x) (*.f64 -1/8 (pow.f64 x 4))))
(fma.f64 1/16 (pow.f64 x 6) (fma.f64 -1/8 (pow.f64 x 4) (*.f64 x (*.f64 x 1/2))))
(+.f64 (*.f64 1/16 (pow.f64 x 6)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) (*.f64 -5/128 (pow.f64 x 8)))))
(fma.f64 1/16 (pow.f64 x 6) (fma.f64 1/2 (*.f64 x x) (fma.f64 -1/8 (pow.f64 x 4) (*.f64 -5/128 (pow.f64 x 8)))))
x
(-.f64 x 1)
(+.f64 x -1)
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) x) 1)
(+.f64 (/.f64 1/2 x) (+.f64 x -1))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) x) (+.f64 1 (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 1/2 x) (-.f64 x (+.f64 1 (/.f64 1/8 (pow.f64 x 3)))))
(+.f64 (/.f64 1/2 x) (-.f64 (+.f64 x -1) (/.f64 1/8 (pow.f64 x 3))))
(*.f64 -1 x)
(neg.f64 x)
(-.f64 (*.f64 -1 x) 1)
(fma.f64 -1 x -1)
(-.f64 -1 x)
(-.f64 (*.f64 -1 x) (+.f64 (*.f64 1/2 (/.f64 1 x)) 1))
(-.f64 (neg.f64 x) (+.f64 1 (/.f64 1/2 x)))
(+.f64 (-.f64 -1 x) (/.f64 -1/2 x))
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 -1 x)) (+.f64 (*.f64 1/2 (/.f64 1 x)) 1))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (neg.f64 x) (+.f64 1 (/.f64 1/2 x))))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (-.f64 -1 x) (/.f64 -1/2 x)))
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 (pow.f64 x 3) -1/6 x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(fma.f64 (pow.f64 x 3) -1/6 (fma.f64 (pow.f64 x 5) 3/40 x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x)))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x)))
(fma.f64 (pow.f64 x 3) -1/6 (fma.f64 (pow.f64 x 5) 3/40 (fma.f64 -5/112 (pow.f64 x 7) x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x))))
(+.f64 (+.f64 (log.f64 2) (log.f64 x)) (/.f64 1/4 (*.f64 x x)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x)))) (/.f64 3/32 (pow.f64 x 4)))
(+.f64 (log.f64 x) (+.f64 (log.f64 2) (-.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 (/.f64 -1 x)) (log.f64 1/2))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 (/.f64 -1 x)) (-.f64 (log.f64 1/2) (/.f64 1/4 (*.f64 x x))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (/.f64 -1/4 (*.f64 x x))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 (/.f64 -1 x)) (-.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (log.f64 1/2)) (/.f64 1/4 (*.f64 x x))))
(+.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (-.f64 (/.f64 3/32 (pow.f64 x 4)) (/.f64 1/4 (*.f64 x x))))
(-.f64 (+.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 1 (hypot.f64 1 x)) (-.f64 1 (+.f64 x -1)))
(+.f64 (-.f64 (+.f64 1 (hypot.f64 1 x)) 1) (+.f64 x -1))
(+.f64 -1 (+.f64 x (hypot.f64 1 x)))
(-.f64 (+.f64 x (+.f64 0 (hypot.f64 1 x))) 1)
(+.f64 (-.f64 (+.f64 1 (hypot.f64 1 x)) 1) (+.f64 x -1))
(+.f64 -1 (+.f64 x (hypot.f64 1 x)))
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(/.f64 (+.f64 -1 (pow.f64 (fma.f64 x x 1) 3)) (*.f64 (+.f64 1 (hypot.f64 1 x)) (+.f64 (fma.f64 x x 2) (pow.f64 (hypot.f64 1 x) 4))))
(/.f64 (neg.f64 (+.f64 (*.f64 x x) 0)) (neg.f64 (+.f64 1 (hypot.f64 1 x))))
(/.f64 (neg.f64 (*.f64 x x)) (-.f64 -1 (hypot.f64 1 x)))
(/.f64 (*.f64 x (neg.f64 x)) (-.f64 -1 (hypot.f64 1 x)))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (hypot.f64 1 x) 3))) (neg.f64 (+.f64 (+.f64 (*.f64 x x) 2) (hypot.f64 1 x))))
(/.f64 (+.f64 1 (neg.f64 (pow.f64 (hypot.f64 1 x) 3))) (neg.f64 (+.f64 (hypot.f64 1 x) (fma.f64 x x 2))))
(/.f64 (-.f64 1 (pow.f64 (hypot.f64 1 x) 3)) (-.f64 (neg.f64 (hypot.f64 1 x)) (fma.f64 x x 2)))
(/.f64 (-.f64 1 (pow.f64 (hypot.f64 1 x) 3)) (-.f64 (-.f64 -2 (*.f64 x x)) (hypot.f64 1 x)))
(/.f64 (*.f64 1 (-.f64 0 (*.f64 x x))) (-.f64 -1 (hypot.f64 1 x)))
(/.f64 (neg.f64 (*.f64 x x)) (-.f64 -1 (hypot.f64 1 x)))
(/.f64 (*.f64 x (neg.f64 x)) (-.f64 -1 (hypot.f64 1 x)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (hypot.f64 1 x) -1)) (sqrt.f64 (+.f64 -1 (pow.f64 (hypot.f64 1 x) 3)))) (sqrt.f64 (+.f64 (+.f64 (*.f64 x x) 2) (hypot.f64 1 x))))
(/.f64 (sqrt.f64 (+.f64 -1 (hypot.f64 1 x))) (/.f64 (sqrt.f64 (+.f64 (hypot.f64 1 x) (fma.f64 x x 2))) (sqrt.f64 (+.f64 -1 (pow.f64 (hypot.f64 1 x) 3)))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 -1 (hypot.f64 1 x))) (sqrt.f64 (+.f64 (hypot.f64 1 x) (fma.f64 x x 2)))) (sqrt.f64 (+.f64 -1 (pow.f64 (hypot.f64 1 x) 3))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (hypot.f64 1 x) -1)) (sqrt.f64 (+.f64 (*.f64 x x) 0))) (sqrt.f64 (+.f64 1 (hypot.f64 1 x))))
(/.f64 (sqrt.f64 (+.f64 -1 (hypot.f64 1 x))) (/.f64 (sqrt.f64 (+.f64 1 (hypot.f64 1 x))) (sqrt.f64 (*.f64 x x))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 -1 (hypot.f64 1 x))) (sqrt.f64 (+.f64 1 (hypot.f64 1 x)))) (fabs.f64 x))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) -1)) 2) (cbrt.f64 (+.f64 -1 (pow.f64 (hypot.f64 1 x) 3)))) (cbrt.f64 (+.f64 (+.f64 (*.f64 x x) 2) (hypot.f64 1 x))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (hypot.f64 1 x))) 2) (/.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) (fma.f64 x x 2))) (cbrt.f64 (+.f64 -1 (pow.f64 (hypot.f64 1 x) 3)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (hypot.f64 1 x))) 2) (cbrt.f64 (+.f64 (hypot.f64 1 x) (fma.f64 x x 2)))) (cbrt.f64 (+.f64 -1 (pow.f64 (hypot.f64 1 x) 3))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) -1)) 2) (cbrt.f64 (+.f64 (*.f64 x x) 0))) (cbrt.f64 (+.f64 1 (hypot.f64 1 x))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (hypot.f64 1 x))) 2) (/.f64 (cbrt.f64 (+.f64 1 (hypot.f64 1 x))) (cbrt.f64 (*.f64 x x))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (+.f64 1 (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (+.f64 -1 (hypot.f64 1 x))) 2))
(/.f64 (*.f64 (-.f64 0 (*.f64 x x)) 1) (-.f64 -1 (hypot.f64 1 x)))
(/.f64 (neg.f64 (*.f64 x x)) (-.f64 -1 (hypot.f64 1 x)))
(/.f64 (*.f64 x (neg.f64 x)) (-.f64 -1 (hypot.f64 1 x)))
(/.f64 (*.f64 (neg.f64 (+.f64 (*.f64 x x) 0)) 1) (neg.f64 (+.f64 1 (hypot.f64 1 x))))
(/.f64 (neg.f64 (*.f64 x x)) (-.f64 -1 (hypot.f64 1 x)))
(/.f64 (*.f64 x (neg.f64 x)) (-.f64 -1 (hypot.f64 1 x)))
(/.f64 (*.f64 (neg.f64 (+.f64 -1 (pow.f64 (hypot.f64 1 x) 3))) 1) (neg.f64 (+.f64 (+.f64 (*.f64 x x) 2) (hypot.f64 1 x))))
(/.f64 (+.f64 1 (neg.f64 (pow.f64 (hypot.f64 1 x) 3))) (neg.f64 (+.f64 (hypot.f64 1 x) (fma.f64 x x 2))))
(/.f64 (-.f64 1 (pow.f64 (hypot.f64 1 x) 3)) (-.f64 (neg.f64 (hypot.f64 1 x)) (fma.f64 x x 2)))
(/.f64 (-.f64 1 (pow.f64 (hypot.f64 1 x) 3)) (-.f64 (-.f64 -2 (*.f64 x x)) (hypot.f64 1 x)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (hypot.f64 1 x) 3))) (sqrt.f64 (+.f64 (hypot.f64 1 x) -1))) (sqrt.f64 (+.f64 (+.f64 (*.f64 x x) 2) (hypot.f64 1 x))))
(/.f64 (sqrt.f64 (+.f64 -1 (hypot.f64 1 x))) (/.f64 (sqrt.f64 (+.f64 (hypot.f64 1 x) (fma.f64 x x 2))) (sqrt.f64 (+.f64 -1 (pow.f64 (hypot.f64 1 x) 3)))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 -1 (hypot.f64 1 x))) (sqrt.f64 (+.f64 (hypot.f64 1 x) (fma.f64 x x 2)))) (sqrt.f64 (+.f64 -1 (pow.f64 (hypot.f64 1 x) 3))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 x x) 0)) (sqrt.f64 (+.f64 (hypot.f64 1 x) -1))) (sqrt.f64 (+.f64 1 (hypot.f64 1 x))))
(/.f64 (sqrt.f64 (+.f64 -1 (hypot.f64 1 x))) (/.f64 (sqrt.f64 (+.f64 1 (hypot.f64 1 x))) (sqrt.f64 (*.f64 x x))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 -1 (hypot.f64 1 x))) (sqrt.f64 (+.f64 1 (hypot.f64 1 x)))) (fabs.f64 x))
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (hypot.f64 1 x) 3))) (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) -1)) 2)) (cbrt.f64 (+.f64 (+.f64 (*.f64 x x) 2) (hypot.f64 1 x))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (hypot.f64 1 x))) 2) (/.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) (fma.f64 x x 2))) (cbrt.f64 (+.f64 -1 (pow.f64 (hypot.f64 1 x) 3)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (hypot.f64 1 x))) 2) (cbrt.f64 (+.f64 (hypot.f64 1 x) (fma.f64 x x 2)))) (cbrt.f64 (+.f64 -1 (pow.f64 (hypot.f64 1 x) 3))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 x x) 0)) (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) -1)) 2)) (cbrt.f64 (+.f64 1 (hypot.f64 1 x))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (hypot.f64 1 x))) 2) (/.f64 (cbrt.f64 (+.f64 1 (hypot.f64 1 x))) (cbrt.f64 (*.f64 x x))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (+.f64 1 (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (+.f64 -1 (hypot.f64 1 x))) 2))
(/.f64 (*.f64 (-.f64 (*.f64 (hypot.f64 1 x) (pow.f64 (hypot.f64 1 x) 3)) 1) (/.f64 1 (+.f64 1 (hypot.f64 1 x)))) (+.f64 (*.f64 x x) 2))
(/.f64 (fma.f64 (hypot.f64 1 x) (pow.f64 (hypot.f64 1 x) 3) -1) (*.f64 (+.f64 1 (hypot.f64 1 x)) (fma.f64 x x 2)))
(/.f64 (+.f64 -1 (pow.f64 (hypot.f64 1 x) 4)) (*.f64 (+.f64 1 (hypot.f64 1 x)) (fma.f64 x x 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 1 (*.f64 x x)) 3) 1) (/.f64 1 (+.f64 1 (hypot.f64 1 x)))) (+.f64 (*.f64 (hypot.f64 1 x) (pow.f64 (hypot.f64 1 x) 3)) (+.f64 (*.f64 x x) 2)))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (*.f64 x x)) 3) -1) (+.f64 1 (hypot.f64 1 x))) (fma.f64 (hypot.f64 1 x) (pow.f64 (hypot.f64 1 x) 3) (fma.f64 x x 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 x x 1) 3)) (*.f64 (+.f64 1 (hypot.f64 1 x)) (+.f64 (fma.f64 x x 2) (pow.f64 (hypot.f64 1 x) 4))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (hypot.f64 1 x) 3)) 1) (/.f64 1 (+.f64 (+.f64 (*.f64 x x) 2) (hypot.f64 1 x)))) (-.f64 (pow.f64 (hypot.f64 1 x) 3) -1))
(/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 6) -1) (*.f64 (+.f64 (hypot.f64 1 x) (fma.f64 x x 2)) (+.f64 (pow.f64 (hypot.f64 1 x) 3) 1)))
(/.f64 (+.f64 -1 (pow.f64 (hypot.f64 1 x) 6)) (*.f64 (+.f64 (hypot.f64 1 x) (fma.f64 x x 2)) (+.f64 1 (pow.f64 (hypot.f64 1 x) 3))))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (pow.f64 (hypot.f64 1 x) 3) 3)) (/.f64 1 (+.f64 (+.f64 (*.f64 x x) 2) (hypot.f64 1 x)))) (-.f64 (+.f64 (*.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (hypot.f64 1 x) 3)) 1) (*.f64 -1 (pow.f64 (hypot.f64 1 x) 3))))
(/.f64 (+.f64 -1 (pow.f64 (pow.f64 (hypot.f64 1 x) 3) 3)) (*.f64 (+.f64 (hypot.f64 1 x) (fma.f64 x x 2)) (+.f64 (pow.f64 (hypot.f64 1 x) 6) (-.f64 1 (neg.f64 (pow.f64 (hypot.f64 1 x) 3))))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (pow.f64 (hypot.f64 1 x) 3) 3)) (+.f64 (hypot.f64 1 x) (fma.f64 x x 2))) (+.f64 1 (+.f64 (pow.f64 (hypot.f64 1 x) 6) (pow.f64 (hypot.f64 1 x) 3))))
(/.f64 (/.f64 (+.f64 (*.f64 x x) 0) 1) (+.f64 1 (hypot.f64 1 x)))
(/.f64 (*.f64 (*.f64 x x) 1) (+.f64 1 (hypot.f64 1 x)))
(/.f64 x (/.f64 (+.f64 1 (hypot.f64 1 x)) x))
(/.f64 (/.f64 (+.f64 (*.f64 x x) 0) (sqrt.f64 (+.f64 1 (hypot.f64 1 x)))) (sqrt.f64 (+.f64 1 (hypot.f64 1 x))))
(/.f64 (*.f64 (*.f64 x x) 1) (+.f64 1 (hypot.f64 1 x)))
(/.f64 x (/.f64 (+.f64 1 (hypot.f64 1 x)) x))
(/.f64 (/.f64 (+.f64 (*.f64 x x) 0) (*.f64 (cbrt.f64 (+.f64 1 (hypot.f64 1 x))) (cbrt.f64 (+.f64 1 (hypot.f64 1 x))))) (cbrt.f64 (+.f64 1 (hypot.f64 1 x))))
(/.f64 (*.f64 (*.f64 x x) 1) (+.f64 1 (hypot.f64 1 x)))
(/.f64 x (/.f64 (+.f64 1 (hypot.f64 1 x)) x))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (hypot.f64 1 x) 3)) 1) (+.f64 (+.f64 (*.f64 x x) 2) (hypot.f64 1 x)))
(*.f64 (+.f64 -1 (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (+.f64 (hypot.f64 1 x) (fma.f64 x x 2))))
(/.f64 (+.f64 -1 (pow.f64 (hypot.f64 1 x) 3)) (+.f64 (hypot.f64 1 x) (fma.f64 x x 2)))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (hypot.f64 1 x) 3)) (sqrt.f64 (+.f64 (+.f64 (*.f64 x x) 2) (hypot.f64 1 x)))) (sqrt.f64 (+.f64 (+.f64 (*.f64 x x) 2) (hypot.f64 1 x))))
(*.f64 (+.f64 -1 (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (+.f64 (hypot.f64 1 x) (fma.f64 x x 2))))
(/.f64 (+.f64 -1 (pow.f64 (hypot.f64 1 x) 3)) (+.f64 (hypot.f64 1 x) (fma.f64 x x 2)))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (hypot.f64 1 x) 3)) (*.f64 (cbrt.f64 (+.f64 (+.f64 (*.f64 x x) 2) (hypot.f64 1 x))) (cbrt.f64 (+.f64 (+.f64 (*.f64 x x) 2) (hypot.f64 1 x))))) (cbrt.f64 (+.f64 (+.f64 (*.f64 x x) 2) (hypot.f64 1 x))))
(*.f64 (+.f64 -1 (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (+.f64 (hypot.f64 1 x) (fma.f64 x x 2))))
(/.f64 (+.f64 -1 (pow.f64 (hypot.f64 1 x) 3)) (+.f64 (hypot.f64 1 x) (fma.f64 x x 2)))
(pow.f64 (+.f64 (hypot.f64 1 x) -1) 1)
(+.f64 -1 (hypot.f64 1 x))
(pow.f64 (sqrt.f64 (+.f64 (hypot.f64 1 x) -1)) 2)
(+.f64 -1 (hypot.f64 1 x))
(pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) -1)) 3)
(+.f64 -1 (hypot.f64 1 x))
(pow.f64 (pow.f64 (+.f64 (hypot.f64 1 x) -1) 3) 1/3)
(+.f64 -1 (hypot.f64 1 x))
(neg.f64 (/.f64 (+.f64 (*.f64 x x) 0) (neg.f64 (+.f64 1 (hypot.f64 1 x)))))
(/.f64 (neg.f64 (*.f64 x x)) (-.f64 -1 (hypot.f64 1 x)))
(/.f64 (*.f64 x (neg.f64 x)) (-.f64 -1 (hypot.f64 1 x)))
(neg.f64 (/.f64 (+.f64 -1 (pow.f64 (hypot.f64 1 x) 3)) (neg.f64 (+.f64 (+.f64 (*.f64 x x) 2) (hypot.f64 1 x)))))
(/.f64 (+.f64 1 (neg.f64 (pow.f64 (hypot.f64 1 x) 3))) (neg.f64 (+.f64 (hypot.f64 1 x) (fma.f64 x x 2))))
(/.f64 (-.f64 1 (pow.f64 (hypot.f64 1 x) 3)) (-.f64 (neg.f64 (hypot.f64 1 x)) (fma.f64 x x 2)))
(/.f64 (-.f64 1 (pow.f64 (hypot.f64 1 x) 3)) (-.f64 (-.f64 -2 (*.f64 x x)) (hypot.f64 1 x)))
(sqrt.f64 (pow.f64 (+.f64 (hypot.f64 1 x) -1) 2))
(sqrt.f64 (pow.f64 (+.f64 -1 (hypot.f64 1 x)) 2))
(fabs.f64 (+.f64 -1 (hypot.f64 1 x)))
(log.f64 (exp.f64 (+.f64 (hypot.f64 1 x) -1)))
(+.f64 -1 (hypot.f64 1 x))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (hypot.f64 1 x) -1))))
(+.f64 -1 (hypot.f64 1 x))
(cbrt.f64 (pow.f64 (+.f64 (hypot.f64 1 x) -1) 3))
(+.f64 -1 (hypot.f64 1 x))
(expm1.f64 (log.f64 (+.f64 0 (hypot.f64 1 x))))
(+.f64 -1 (hypot.f64 1 x))
(exp.f64 (log.f64 (+.f64 (hypot.f64 1 x) -1)))
(+.f64 -1 (hypot.f64 1 x))
(log1p.f64 (expm1.f64 (+.f64 (hypot.f64 1 x) -1)))
(+.f64 -1 (hypot.f64 1 x))
(fma.f64 1 (hypot.f64 1 x) -1)
(+.f64 -1 (hypot.f64 1 x))
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) -1)
(+.f64 -1 (hypot.f64 1 x))
(fma.f64 (cbrt.f64 (+.f64 1 (*.f64 x x))) (cbrt.f64 (hypot.f64 1 x)) -1)
(fma.f64 (cbrt.f64 (fma.f64 x x 1)) (cbrt.f64 (hypot.f64 1 x)) -1)
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (+.f64 0 (hypot.f64 1 x)))))) 1)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 1 (log.f64 (+.f64 x (+.f64 0 (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (log.f64 (+.f64 x (+.f64 0 (hypot.f64 1 x)))) 1)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (+.f64 0 (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (+.f64 x (+.f64 0 (hypot.f64 1 x))))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (+.f64 0 (hypot.f64 1 x))))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (+.f64 0 (hypot.f64 1 x))))) 2))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (+.f64 0 (hypot.f64 1 x))))) 2) (cbrt.f64 (log.f64 (+.f64 x (+.f64 0 (hypot.f64 1 x))))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (log.f64 (+.f64 x (+.f64 0 (hypot.f64 1 x)))) 1)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (+.f64 0 (hypot.f64 1 x))))) 2)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (+.f64 0 (hypot.f64 1 x))))) 3)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (pow.f64 (log.f64 (+.f64 x (+.f64 0 (hypot.f64 1 x)))) 3) 1/3)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (+.f64 0 (hypot.f64 1 x)))) 2))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
(fabs.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(log.f64 (+.f64 x (+.f64 0 (hypot.f64 1 x))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (+.f64 0 (hypot.f64 1 x)))) 3))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (+.f64 0 (hypot.f64 1 x))))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(exp.f64 (log.f64 (log.f64 (+.f64 x (+.f64 0 (hypot.f64 1 x))))))
(log.f64 (+.f64 x (hypot.f64 1 x)))

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 10 to 7 computations (30% saved)

series39.0ms (0.4%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
26.0ms
x
@0
(log.f64 (/.f64 -1/2 x))
6.0ms
x
@-inf
(log.f64 (/.f64 -1/2 x))
6.0ms
x
@inf
(log.f64 (/.f64 -1/2 x))

rewrite58.0ms (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))))))

simplify55.0ms (0.5%)

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)))

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiled 25 to 20 computations (20% saved)

series5.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
3.0ms
x
@inf
(/.f64 1 (/.f64 1 (log.f64 (/.f64 -1/2 x))))
1.0ms
x
@-inf
(/.f64 1 (log.f64 (/.f64 -1/2 x)))
0.0ms
x
@0
(/.f64 1 (log.f64 (/.f64 -1/2 x)))
0.0ms
x
@inf
(/.f64 1 (log.f64 (/.f64 -1/2 x)))
0.0ms
x
@0
(/.f64 1 (/.f64 1 (log.f64 (/.f64 -1/2 x))))

rewrite55.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
1660×add-sqr-sqrt
1636×*-un-lft-identity
1524×add-cube-cbrt
1510×add-cbrt-cube
172×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01028
120828
2218428
Stop Event
1×node limit
Counts
2 → 56
Calls
Call 1
Inputs
(/.f64 1 (/.f64 1 (log.f64 (/.f64 -1/2 x))))
(/.f64 1 (log.f64 (/.f64 -1/2 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 -1/2) (log.f64 (/.f64 1 x)))))) (#(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 (pow.f64 (cbrt.f64 (/.f64 -1/2 x)) 2)) (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 0 (log.f64 (/.f64 x -1/2)))))) (#(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 (exp.f64 (log1p.f64 (log.f64 (/.f64 -1/2 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (log.f64 -1/2) 1) (/.f64 (log.f64 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 (log.f64 (/.f64 -1/2 x)) 1)))) (#(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 -1 (log.f64 (/.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (log.f64 (/.f64 -1/2 x)) -1/2) -1) (pow.f64 (pow.f64 (log.f64 (/.f64 -1/2 x)) -1/2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 -1/2 x)) -2)) -1) (pow.f64 (/.f64 -1 (cbrt.f64 (log.f64 (/.f64 x -1/2)))) -1))))) (#(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 (/.f64 1 (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 -1/2)))))) (#(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 log.f64 (/.f64 -1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (-.f64 (/.f64 -1/2 x) 1)))))) (#(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 exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 -1/2 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (log.f64 (/.f64 -1/2 x)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (/.f64 -1/2 x) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (log.f64 (/.f64 -1/2 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (log.f64 (/.f64 -1/2 x))))))) (#(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 (pow.f64 (log.f64 (/.f64 -1/2 x)) -1/2) (pow.f64 (log.f64 (/.f64 -1/2 x)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (cbrt.f64 (log.f64 (/.f64 x -1/2)))) (cbrt.f64 (pow.f64 (log.f64 (/.f64 -1/2 x)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 -1/2 x)) -2)) (/.f64 -1 (cbrt.f64 (log.f64 (/.f64 x -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (log.f64 (/.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (log.f64 (/.f64 -1/2 x))) -1) (pow.f64 (sqrt.f64 (log.f64 (/.f64 -1/2 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 -1/2 x))) 2) -1) (pow.f64 (cbrt.f64 (log.f64 (/.f64 -1/2 x))) -1))))) (#(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 (/.f64 1 (log.f64 (/.f64 -1/2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (/.f64 -1/2 x)) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1 (cbrt.f64 (log.f64 (/.f64 x -1/2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (log.f64 (/.f64 -1/2 x))) 3) 1/3)))) (#(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 log.f64 (exp.f64 (/.f64 1 (log.f64 (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (log.f64 (/.f64 -1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (log.f64 (/.f64 -1/2 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (log.f64 (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (log.f64 (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 -1/2 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (log.f64 (/.f64 -1/2 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (log.f64 (/.f64 -1/2 x)))))))))

simplify61.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
1504×associate-+r+
1340×associate-+l+
634×times-frac
600×unswap-sqr
546×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01301326
12621296
28991288
348781288
Stop Event
1×node limit
Counts
80 → 72
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 1 (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x))))
(/.f64 1 (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x))))
(/.f64 1 (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x))))
(/.f64 1 (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x))))
(/.f64 1 (+.f64 (log.f64 -1/2) (log.f64 (/.f64 1 x))))
(/.f64 1 (+.f64 (log.f64 -1/2) (log.f64 (/.f64 1 x))))
(/.f64 1 (+.f64 (log.f64 -1/2) (log.f64 (/.f64 1 x))))
(/.f64 1 (+.f64 (log.f64 -1/2) (log.f64 (/.f64 1 x))))
(/.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)))
(/.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)))
(/.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)))
(/.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)))
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 -1/2) (neg.f64 (log.f64 x)))
(+.f64 0 (log.f64 (/.f64 -1/2 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 -1/2 x)) 2)) (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 0 (log.f64 (/.f64 x -1/2)))
(-.f64 (log.f64 1/2) (log.f64 (neg.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 -1/2 x)))) 1)
(-.f64 (/.f64 (log.f64 -1/2) 1) (/.f64 (log.f64 x) 1))
(*.f64 1 (log.f64 (/.f64 -1/2 x)))
(*.f64 (log.f64 (/.f64 -1/2 x)) 1)
(*.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 -1 (log.f64 (/.f64 x -1/2)))
(*.f64 (pow.f64 (pow.f64 (log.f64 (/.f64 -1/2 x)) -1/2) -1) (pow.f64 (pow.f64 (log.f64 (/.f64 -1/2 x)) -1/2) -1))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 -1/2 x)) -2)) -1) (pow.f64 (/.f64 -1 (cbrt.f64 (log.f64 (/.f64 x -1/2)))) -1))
(pow.f64 (log.f64 (/.f64 -1/2 x)) 1)
(pow.f64 (/.f64 1 (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 -1/2)))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 -1/2 x)) 2))
(log.f64 (/.f64 -1/2 x))
(log.f64 (+.f64 1 (-.f64 (/.f64 -1/2 x) 1)))
(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))))
(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 -1/2 x))) 1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (log.f64 (/.f64 -1/2 x)))) -1))
(log1p.f64 (-.f64 (/.f64 -1/2 x) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (log.f64 (/.f64 -1/2 x))))) 1)
(*.f64 1 (/.f64 1 (log.f64 (/.f64 -1/2 x))))
(*.f64 (/.f64 1 (log.f64 (/.f64 -1/2 x))) 1)
(*.f64 (pow.f64 (log.f64 (/.f64 -1/2 x)) -1/2) (pow.f64 (log.f64 (/.f64 -1/2 x)) -1/2))
(*.f64 (/.f64 -1 (cbrt.f64 (log.f64 (/.f64 x -1/2)))) (cbrt.f64 (pow.f64 (log.f64 (/.f64 -1/2 x)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 -1/2 x)) -2)) (/.f64 -1 (cbrt.f64 (log.f64 (/.f64 x -1/2)))))
(*.f64 -1 (/.f64 1 (log.f64 (/.f64 x -1/2))))
(*.f64 (pow.f64 (sqrt.f64 (log.f64 (/.f64 -1/2 x))) -1) (pow.f64 (sqrt.f64 (log.f64 (/.f64 -1/2 x))) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 -1/2 x))) 2) -1) (pow.f64 (cbrt.f64 (log.f64 (/.f64 -1/2 x))) -1))
(pow.f64 (log.f64 (/.f64 -1/2 x)) -1)
(pow.f64 (/.f64 1 (log.f64 (/.f64 -1/2 x))) 1)
(pow.f64 (pow.f64 (log.f64 (/.f64 -1/2 x)) -1/2) 2)
(pow.f64 (/.f64 -1 (cbrt.f64 (log.f64 (/.f64 x -1/2)))) 3)
(pow.f64 (pow.f64 (/.f64 1 (log.f64 (/.f64 -1/2 x))) 3) 1/3)
(sqrt.f64 (pow.f64 (log.f64 (/.f64 -1/2 x)) -2))
(log.f64 (exp.f64 (/.f64 1 (log.f64 (/.f64 -1/2 x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (log.f64 (/.f64 -1/2 x))))))
(cbrt.f64 (pow.f64 (/.f64 1 (log.f64 (/.f64 -1/2 x))) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (log.f64 (/.f64 -1/2 x)))))
(exp.f64 (neg.f64 (log.f64 (log.f64 (/.f64 -1/2 x)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 -1/2 x))) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (log.f64 (/.f64 -1/2 x)))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (log.f64 (/.f64 -1/2 x)))))
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 1 (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x))))
(/.f64 1 (log.f64 (/.f64 -1/2 x)))
(/.f64 -1 (log.f64 (/.f64 x -1/2)))
(/.f64 1 (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x))))
(/.f64 1 (log.f64 (/.f64 -1/2 x)))
(/.f64 -1 (log.f64 (/.f64 x -1/2)))
(/.f64 1 (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x))))
(/.f64 1 (log.f64 (/.f64 -1/2 x)))
(/.f64 -1 (log.f64 (/.f64 x -1/2)))
(/.f64 1 (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x))))
(/.f64 1 (log.f64 (/.f64 -1/2 x)))
(/.f64 -1 (log.f64 (/.f64 x -1/2)))
(/.f64 1 (+.f64 (log.f64 -1/2) (log.f64 (/.f64 1 x))))
(/.f64 1 (log.f64 (/.f64 -1/2 x)))
(/.f64 -1 (log.f64 (/.f64 x -1/2)))
(/.f64 1 (+.f64 (log.f64 -1/2) (log.f64 (/.f64 1 x))))
(/.f64 1 (log.f64 (/.f64 -1/2 x)))
(/.f64 -1 (log.f64 (/.f64 x -1/2)))
(/.f64 1 (+.f64 (log.f64 -1/2) (log.f64 (/.f64 1 x))))
(/.f64 1 (log.f64 (/.f64 -1/2 x)))
(/.f64 -1 (log.f64 (/.f64 x -1/2)))
(/.f64 1 (+.f64 (log.f64 -1/2) (log.f64 (/.f64 1 x))))
(/.f64 1 (log.f64 (/.f64 -1/2 x)))
(/.f64 -1 (log.f64 (/.f64 x -1/2)))
(/.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)))
(/.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)))
(/.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)))
(/.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)))
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 1 x)))
(log.f64 (/.f64 -1/2 x))
(+.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 (pow.f64 (cbrt.f64 (/.f64 -1/2 x)) 2)) (log.f64 (cbrt.f64 (/.f64 -1/2 x))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (/.f64 -1/2 x)))) (log.f64 (cbrt.f64 (/.f64 -1/2 x))))
(*.f64 3 (log.f64 (cbrt.f64 (/.f64 -1/2 x))))
(*.f64 (log.f64 (cbrt.f64 (/.f64 -1/2 x))) 3)
(+.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 -1/2) (log.f64 x))
(log.f64 (/.f64 -1/2 x))
(-.f64 0 (log.f64 (/.f64 x -1/2)))
(log.f64 (/.f64 -1/2 x))
(-.f64 (log.f64 1/2) (log.f64 (neg.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 -1/2 x)))) 1)
(log.f64 (/.f64 -1/2 x))
(-.f64 (/.f64 (log.f64 -1/2) 1) (/.f64 (log.f64 x) 1))
(log.f64 (/.f64 -1/2 x))
(*.f64 1 (log.f64 (/.f64 -1/2 x)))
(log.f64 (/.f64 -1/2 x))
(*.f64 (log.f64 (/.f64 -1/2 x)) 1)
(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 -1 (log.f64 (/.f64 x -1/2)))
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(*.f64 (pow.f64 (pow.f64 (log.f64 (/.f64 -1/2 x)) -1/2) -1) (pow.f64 (pow.f64 (log.f64 (/.f64 -1/2 x)) -1/2) -1))
(log.f64 (/.f64 -1/2 x))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 -1/2 x)) -2)) -1) (pow.f64 (/.f64 -1 (cbrt.f64 (log.f64 (/.f64 x -1/2)))) -1))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (log.f64 (/.f64 -1/2 x)) -2))) (/.f64 1 (/.f64 -1 (cbrt.f64 (log.f64 (/.f64 x -1/2))))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (log.f64 (/.f64 -1/2 x)) -2))) (*.f64 -1 (cbrt.f64 (log.f64 (/.f64 x -1/2)))))
(/.f64 (neg.f64 (cbrt.f64 (log.f64 (/.f64 x -1/2)))) (cbrt.f64 (pow.f64 (log.f64 (/.f64 -1/2 x)) -2)))
(pow.f64 (log.f64 (/.f64 -1/2 x)) 1)
(log.f64 (/.f64 -1/2 x))
(pow.f64 (/.f64 1 (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 -1/2)))
(log.f64 (/.f64 -1/2 x))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 -1/2 x)) 2))
(log.f64 (/.f64 -1/2 x))
(log.f64 (/.f64 -1/2 x))
(log.f64 (+.f64 1 (-.f64 (/.f64 -1/2 x) 1)))
(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))
(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 -1/2 x))) 1))
(log.f64 (/.f64 -1/2 x))
(exp.f64 (*.f64 (neg.f64 (log.f64 (log.f64 (/.f64 -1/2 x)))) -1))
(log.f64 (/.f64 -1/2 x))
(log1p.f64 (-.f64 (/.f64 -1/2 x) 1))
(log.f64 (/.f64 -1/2 x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (log.f64 (/.f64 -1/2 x))))) 1)
(/.f64 1 (log.f64 (/.f64 -1/2 x)))
(/.f64 -1 (log.f64 (/.f64 x -1/2)))
(*.f64 1 (/.f64 1 (log.f64 (/.f64 -1/2 x))))
(/.f64 1 (log.f64 (/.f64 -1/2 x)))
(/.f64 -1 (log.f64 (/.f64 x -1/2)))
(*.f64 (/.f64 1 (log.f64 (/.f64 -1/2 x))) 1)
(/.f64 1 (log.f64 (/.f64 -1/2 x)))
(/.f64 -1 (log.f64 (/.f64 x -1/2)))
(*.f64 (pow.f64 (log.f64 (/.f64 -1/2 x)) -1/2) (pow.f64 (log.f64 (/.f64 -1/2 x)) -1/2))
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(*.f64 (/.f64 -1 (cbrt.f64 (log.f64 (/.f64 x -1/2)))) (cbrt.f64 (pow.f64 (log.f64 (/.f64 -1/2 x)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 -1/2 x)) -2)) (/.f64 -1 (cbrt.f64 (log.f64 (/.f64 x -1/2)))))
(/.f64 (neg.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 -1/2 x)) -2))) (cbrt.f64 (log.f64 (/.f64 x -1/2))))
(neg.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 -1/2 x)) -2)) (cbrt.f64 (log.f64 (/.f64 x -1/2)))))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 -1/2 x)) -2)) (/.f64 -1 (cbrt.f64 (log.f64 (/.f64 x -1/2)))))
(/.f64 (neg.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 -1/2 x)) -2))) (cbrt.f64 (log.f64 (/.f64 x -1/2))))
(neg.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 -1/2 x)) -2)) (cbrt.f64 (log.f64 (/.f64 x -1/2)))))
(*.f64 -1 (/.f64 1 (log.f64 (/.f64 x -1/2))))
(/.f64 1 (log.f64 (/.f64 -1/2 x)))
(/.f64 -1 (log.f64 (/.f64 x -1/2)))
(*.f64 (pow.f64 (sqrt.f64 (log.f64 (/.f64 -1/2 x))) -1) (pow.f64 (sqrt.f64 (log.f64 (/.f64 -1/2 x))) -1))
(/.f64 1 (log.f64 (/.f64 -1/2 x)))
(/.f64 -1 (log.f64 (/.f64 x -1/2)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 -1/2 x))) 2) -1) (pow.f64 (cbrt.f64 (log.f64 (/.f64 -1/2 x))) -1))
(/.f64 1 (log.f64 (/.f64 -1/2 x)))
(/.f64 -1 (log.f64 (/.f64 x -1/2)))
(pow.f64 (log.f64 (/.f64 -1/2 x)) -1)
(/.f64 1 (log.f64 (/.f64 -1/2 x)))
(/.f64 -1 (log.f64 (/.f64 x -1/2)))
(pow.f64 (/.f64 1 (log.f64 (/.f64 -1/2 x))) 1)
(/.f64 1 (log.f64 (/.f64 -1/2 x)))
(/.f64 -1 (log.f64 (/.f64 x -1/2)))
(pow.f64 (pow.f64 (log.f64 (/.f64 -1/2 x)) -1/2) 2)
(/.f64 1 (log.f64 (/.f64 -1/2 x)))
(/.f64 -1 (log.f64 (/.f64 x -1/2)))
(pow.f64 (/.f64 -1 (cbrt.f64 (log.f64 (/.f64 x -1/2)))) 3)
(/.f64 1 (log.f64 (/.f64 -1/2 x)))
(/.f64 -1 (log.f64 (/.f64 x -1/2)))
(pow.f64 (pow.f64 (/.f64 1 (log.f64 (/.f64 -1/2 x))) 3) 1/3)
(/.f64 1 (log.f64 (/.f64 -1/2 x)))
(/.f64 -1 (log.f64 (/.f64 x -1/2)))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 -1/2 x)) -2))
(/.f64 1 (log.f64 (/.f64 -1/2 x)))
(/.f64 -1 (log.f64 (/.f64 x -1/2)))
(log.f64 (exp.f64 (/.f64 1 (log.f64 (/.f64 -1/2 x)))))
(/.f64 1 (log.f64 (/.f64 -1/2 x)))
(/.f64 -1 (log.f64 (/.f64 x -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (log.f64 (/.f64 -1/2 x))))))
(/.f64 1 (log.f64 (/.f64 -1/2 x)))
(/.f64 -1 (log.f64 (/.f64 x -1/2)))
(cbrt.f64 (pow.f64 (/.f64 1 (log.f64 (/.f64 -1/2 x))) 3))
(/.f64 1 (log.f64 (/.f64 -1/2 x)))
(/.f64 -1 (log.f64 (/.f64 x -1/2)))
(expm1.f64 (log1p.f64 (/.f64 1 (log.f64 (/.f64 -1/2 x)))))
(/.f64 1 (log.f64 (/.f64 -1/2 x)))
(/.f64 -1 (log.f64 (/.f64 x -1/2)))
(exp.f64 (neg.f64 (log.f64 (log.f64 (/.f64 -1/2 x)))))
(/.f64 1 (log.f64 (/.f64 -1/2 x)))
(/.f64 -1 (log.f64 (/.f64 x -1/2)))
(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 -1/2 x))) -1))
(/.f64 1 (log.f64 (/.f64 -1/2 x)))
(/.f64 -1 (log.f64 (/.f64 x -1/2)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (log.f64 (/.f64 -1/2 x)))) 1))
(/.f64 1 (log.f64 (/.f64 -1/2 x)))
(/.f64 -1 (log.f64 (/.f64 x -1/2)))
(log1p.f64 (expm1.f64 (/.f64 1 (log.f64 (/.f64 -1/2 x)))))
(/.f64 1 (log.f64 (/.f64 -1/2 x)))
(/.f64 -1 (log.f64 (/.f64 x -1/2)))

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
✓0.6b
(-.f64 (hypot.f64 1 x) x)
✓2.6b
(log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))
Compiler

Compiled 26 to 18 computations (30.8% saved)

series2.0ms (0%)

Counts
3 → 36
Calls

9 calls:

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

rewrite72.0ms (0.7%)

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))))))))

simplify71.0ms (0.7%)

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

Useful iterations: 1 (0.0ms)

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

localize24.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(/.f64 1 (fma.f64 3/40 (pow.f64 x 5) x))
✓0.2b
(/.f64 1 (/.f64 1 (fma.f64 3/40 (pow.f64 x 5) x)))
✓0.2b
(fma.f64 3/40 (pow.f64 x 5) x)
✓18.4b
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (/.f64 1 (/.f64 1 (fma.f64 3/40 (pow.f64 x 5) x))))
Compiler

Compiled 58 to 45 computations (22.4% saved)

series3.0ms (0%)

Counts
4 → 48
Calls

12 calls:

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

rewrite112.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
1198×associate-*r/
810×associate-*l/
652×distribute-rgt-in
620×distribute-lft-in
428×associate-/r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01680
135680
2389380
Stop Event
1×node limit
Counts
4 → 248
Calls
Call 1
Inputs
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (/.f64 1 (/.f64 1 (fma.f64 3/40 (pow.f64 x 5) x))))
(fma.f64 3/40 (pow.f64 x 5) x)
(/.f64 1 (/.f64 1 (fma.f64 3/40 (pow.f64 x 5) x)))
(/.f64 1 (fma.f64 3/40 (pow.f64 x 5) x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 3/40 (pow.f64 x 5) x))) (-.f64 1 (*.f64 -1/6 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3)))) (-.f64 1 (fma.f64 3/40 (pow.f64 x 5) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.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 (/.f64 (pow.f64 x 6) (/.f64 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) (fma.f64 3/40 (pow.f64 x 5) x)) 1/36)) (/.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))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (exp.f64 (log1p.f64 (fma.f64 3/40 (pow.f64 x 5) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (fma.f64 3/40 (pow.f64 x 5) x) (exp.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5))) (exp.f64 (log1p.f64 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 (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 (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 (*.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 1 (/.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 (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)) (fma.f64 3/40 (pow.f64 x 5) x)) (-.f64 (*.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 (*.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)))))) (#(struct:change #<rule egg-rr> (2) ((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 (*.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 (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 (*.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))))) (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 (+.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 (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))))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2))) (/.f64 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) (fma.f64 3/40 (pow.f64 x 5) x)) (sqrt.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3))) (cbrt.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 (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))))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2))) (cbrt.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2)))) (/.f64 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) (fma.f64 3/40 (pow.f64 x 5) x)) (cbrt.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2) (*.f64 (pow.f64 x 6) 1/36)) (-.f64 (fma.f64 3/40 (pow.f64 x 5) x) (*.f64 -1/6 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216) (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216)) (*.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3))) (*.f64 (+.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))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 (pow.f64 x 6) 1/36)) (*.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2))) (*.f64 (-.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 (pow.f64 x 6) 1/36))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216) 3) (pow.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3) 3)) (*.f64 (+.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 3/40 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (*.f64 3/40 (pow.f64 x 5)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 3/40 (pow.f64 x 5)) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 3/40 (pow.f64 x 5)) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 (*.f64 3/40 (pow.f64 x 5)) 1)) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1 (neg.f64 (*.f64 3/40 (pow.f64 x 5)))) (*.f64 -1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (*.f64 3/40 (pow.f64 x 5)) 1) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (neg.f64 (*.f64 3/40 (pow.f64 x 5))) -1) (*.f64 (neg.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 3/40 (pow.f64 x 5) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (*.f64 3/40 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 3/40 (pow.f64 x 5)) (exp.f64 (log1p.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (*.f64 3/40 (pow.f64 x 5)) 1) (exp.f64 (log1p.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 3/40 (pow.f64 x 5) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (neg.f64 (neg.f64 (fma.f64 3/40 (pow.f64 x 5) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 3/40 (pow.f64 x 5) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)) (sqrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)) (pow.f64 (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)) 2) (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (fma.f64 3/40 (pow.f64 x 5) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 3/40 (pow.f64 x 5) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) -1/2) -1) (pow.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) -1/2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) -2)) -1) (pow.f64 (cbrt.f64 (/.f64 1 (fma.f64 3/40 (pow.f64 x 5) x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)) 1) (sqrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)) 2) 1) (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (fma.f64 3/40 (pow.f64 x 5) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)) 2) -1) (cbrt.f64 (neg.f64 (fma.f64 3/40 (pow.f64 x 5) x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (fma.f64 3/40 (pow.f64 x 5) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 3/40 (pow.f64 x 5) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 3/40 (pow.f64 x 5) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 3/40 (pow.f64 x 5) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 3/40 (pow.f64 x 5) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 3/40 (pow.f64 x 5) x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 3/40 (pow.f64 x 5) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 3/40 (pow.f64 x 5) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 3/40 (pow.f64 x 5) x)))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 3/40 (pow.f64 x 5) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (fma.f64 3/40 (pow.f64 x 5) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (neg.f64 (/.f64 -1 (fma.f64 3/40 (pow.f64 x 5) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 3/40 (pow.f64 x 5) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) -1/2) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (fma.f64 3/40 (pow.f64 x 5) x))) (cbrt.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) -2)) (cbrt.f64 (/.f64 1 (fma.f64 3/40 (pow.f64 x 5) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 -1 (fma.f64 3/40 (pow.f64 x 5) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (fma.f64 3/40 (pow.f64 x 5) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)) -1) (pow.f64 (sqrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) -1/2) 1) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) -2)) 1) (cbrt.f64 (/.f64 1 (fma.f64 3/40 (pow.f64 x 5) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (*.f64 (*.f64 3/40 (pow.f64 x 5)) (*.f64 3/40 (pow.f64 x 5))) (*.f64 x x))) (-.f64 (*.f64 3/40 (pow.f64 x 5)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 3/40 (pow.f64 x 5)) 3))) (+.f64 (*.f64 (*.f64 3/40 (pow.f64 x 5)) (*.f64 3/40 (pow.f64 x 5))) (-.f64 (*.f64 x x) (*.f64 (*.f64 3/40 (pow.f64 x 5)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) -1/2) (sqrt.f64 -1)) (sqrt.f64 (/.f64 -1 (fma.f64 3/40 (pow.f64 x 5) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) -2)) -1) (cbrt.f64 (/.f64 -1 (fma.f64 3/40 (pow.f64 x 5) x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (fma.f64 3/40 (pow.f64 x 5) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1 (fma.f64 3/40 (pow.f64 x 5) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (fma.f64 3/40 (pow.f64 x 5) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 3/40 (pow.f64 x 5) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 3/40 (pow.f64 x 5) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (fma.f64 3/40 (pow.f64 x 5) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 3/40 (pow.f64 x 5) x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 3/40 (pow.f64 x 5) x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 3/40 (pow.f64 x 5) x))))))))

simplify178.0ms (1.8%)

Algorithm
1×egg-herbie
Rules
802×associate-+r+
772×+-commutative
746×associate-/l*
712×associate-*r*
712×associate-+l+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
053914454
1139713354
2656113354
Stop Event
1×node limit
Counts
296 → 317
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)) x))
(*.f64 3/40 (pow.f64 x 5))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5)))
(+.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)) x))
(*.f64 3/40 (pow.f64 x 5))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5)))
(+.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)) x))
x
(+.f64 (*.f64 3/40 (pow.f64 x 5)) x)
(+.f64 (*.f64 3/40 (pow.f64 x 5)) x)
(+.f64 (*.f64 3/40 (pow.f64 x 5)) x)
(*.f64 3/40 (pow.f64 x 5))
(+.f64 (*.f64 3/40 (pow.f64 x 5)) x)
(+.f64 (*.f64 3/40 (pow.f64 x 5)) x)
(+.f64 (*.f64 3/40 (pow.f64 x 5)) x)
(*.f64 3/40 (pow.f64 x 5))
(+.f64 (*.f64 3/40 (pow.f64 x 5)) x)
(+.f64 (*.f64 3/40 (pow.f64 x 5)) x)
(+.f64 (*.f64 3/40 (pow.f64 x 5)) x)
x
(+.f64 (*.f64 3/40 (pow.f64 x 5)) x)
(+.f64 (*.f64 3/40 (pow.f64 x 5)) x)
(+.f64 (*.f64 3/40 (pow.f64 x 5)) x)
(*.f64 3/40 (pow.f64 x 5))
(+.f64 (*.f64 3/40 (pow.f64 x 5)) x)
(+.f64 (*.f64 3/40 (pow.f64 x 5)) x)
(+.f64 (*.f64 3/40 (pow.f64 x 5)) x)
(*.f64 3/40 (pow.f64 x 5))
(+.f64 (*.f64 3/40 (pow.f64 x 5)) x)
(+.f64 (*.f64 3/40 (pow.f64 x 5)) x)
(+.f64 (*.f64 3/40 (pow.f64 x 5)) x)
(/.f64 1 x)
(+.f64 (/.f64 1 x) (*.f64 -3/40 (pow.f64 x 3)))
(+.f64 (*.f64 9/1600 (pow.f64 x 7)) (+.f64 (/.f64 1 x) (*.f64 -3/40 (pow.f64 x 3))))
(+.f64 (*.f64 -27/64000 (pow.f64 x 11)) (+.f64 (*.f64 9/1600 (pow.f64 x 7)) (+.f64 (/.f64 1 x) (*.f64 -3/40 (pow.f64 x 3)))))
(/.f64 40/3 (pow.f64 x 5))
(-.f64 (*.f64 40/3 (/.f64 1 (pow.f64 x 5))) (*.f64 1600/9 (/.f64 1 (pow.f64 x 9))))
(-.f64 (+.f64 (*.f64 64000/27 (/.f64 1 (pow.f64 x 13))) (*.f64 40/3 (/.f64 1 (pow.f64 x 5)))) (*.f64 1600/9 (/.f64 1 (pow.f64 x 9))))
(-.f64 (+.f64 (*.f64 64000/27 (/.f64 1 (pow.f64 x 13))) (*.f64 40/3 (/.f64 1 (pow.f64 x 5)))) (+.f64 (*.f64 1600/9 (/.f64 1 (pow.f64 x 9))) (*.f64 2560000/81 (/.f64 1 (pow.f64 x 17)))))
(/.f64 40/3 (pow.f64 x 5))
(-.f64 (*.f64 40/3 (/.f64 1 (pow.f64 x 5))) (*.f64 1600/9 (/.f64 1 (pow.f64 x 9))))
(-.f64 (+.f64 (*.f64 64000/27 (/.f64 1 (pow.f64 x 13))) (*.f64 40/3 (/.f64 1 (pow.f64 x 5)))) (*.f64 1600/9 (/.f64 1 (pow.f64 x 9))))
(-.f64 (+.f64 (*.f64 64000/27 (/.f64 1 (pow.f64 x 13))) (*.f64 40/3 (/.f64 1 (pow.f64 x 5)))) (+.f64 (*.f64 1600/9 (/.f64 1 (pow.f64 x 9))) (*.f64 2560000/81 (/.f64 1 (pow.f64 x 17)))))
(-.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 (*.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 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)))) 1)
(-.f64 (/.f64 (pow.f64 x 6) (/.f64 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) (fma.f64 3/40 (pow.f64 x 5) x)) 1/36)) (/.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 -1/6 (pow.f64 x 3)) (exp.f64 (log1p.f64 (fma.f64 3/40 (pow.f64 x 5) x)))) 1)
(-.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 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5))) (exp.f64 (log1p.f64 x))) 1)
(*.f64 1 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)))
(*.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)) 1)
(*.f64 (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)))
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(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 (neg.f64 (log.f64 (fma.f64 3/40 (pow.f64 x 5) x))) -1))
(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)))
(+.f64 x (*.f64 3/40 (pow.f64 x 5)))
(+.f64 x (*.f64 (*.f64 3/40 (pow.f64 x 5)) 1))
(+.f64 (*.f64 3/40 (pow.f64 x 5)) x)
(+.f64 (*.f64 (*.f64 3/40 (pow.f64 x 5)) 1) x)
(+.f64 (*.f64 1 (*.f64 (*.f64 3/40 (pow.f64 x 5)) 1)) x)
(+.f64 (*.f64 -1 (neg.f64 (*.f64 3/40 (pow.f64 x 5)))) (*.f64 -1 (neg.f64 x)))
(+.f64 (*.f64 (*.f64 (*.f64 3/40 (pow.f64 x 5)) 1) 1) x)
(+.f64 (*.f64 (neg.f64 (*.f64 3/40 (pow.f64 x 5))) -1) (*.f64 (neg.f64 x) -1))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 3/40 (pow.f64 x 5) x))) 1)
(-.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (*.f64 3/40 (pow.f64 x 5))))
(-.f64 (+.f64 (*.f64 3/40 (pow.f64 x 5)) (exp.f64 (log1p.f64 x))) 1)
(-.f64 (+.f64 (*.f64 (*.f64 3/40 (pow.f64 x 5)) 1) (exp.f64 (log1p.f64 x))) 1)
(*.f64 1 (fma.f64 3/40 (pow.f64 x 5) x))
(*.f64 1 (neg.f64 (neg.f64 (fma.f64 3/40 (pow.f64 x 5) x))))
(*.f64 (fma.f64 3/40 (pow.f64 x 5) x) 1)
(*.f64 (sqrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)) (sqrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)))
(*.f64 (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)) (pow.f64 (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)) 2) (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)))
(*.f64 -1 (neg.f64 (fma.f64 3/40 (pow.f64 x 5) x)))
(*.f64 (neg.f64 (fma.f64 3/40 (pow.f64 x 5) x)) -1)
(*.f64 (pow.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) -1/2) -1) (pow.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) -1/2) -1))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) -2)) -1) (pow.f64 (cbrt.f64 (/.f64 1 (fma.f64 3/40 (pow.f64 x 5) x))) -1))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)) 1) (sqrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)) 2) 1) (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (fma.f64 3/40 (pow.f64 x 5) x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)) 2) -1) (cbrt.f64 (neg.f64 (fma.f64 3/40 (pow.f64 x 5) x))))
(pow.f64 (/.f64 1 (fma.f64 3/40 (pow.f64 x 5) x)) -1)
(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 (neg.f64 (log.f64 (fma.f64 3/40 (pow.f64 x 5) x))) -1))
(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)
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 3/40 (pow.f64 x 5) x)))) 1)
(*.f64 1 (/.f64 1 (fma.f64 3/40 (pow.f64 x 5) x)))
(*.f64 1 (neg.f64 (/.f64 -1 (fma.f64 3/40 (pow.f64 x 5) x))))
(*.f64 (/.f64 1 (fma.f64 3/40 (pow.f64 x 5) x)) 1)
(*.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) -1/2) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) -1/2))
(*.f64 (cbrt.f64 (/.f64 1 (fma.f64 3/40 (pow.f64 x 5) x))) (cbrt.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) -2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) -2)) (cbrt.f64 (/.f64 1 (fma.f64 3/40 (pow.f64 x 5) x))))
(*.f64 -1 (/.f64 -1 (fma.f64 3/40 (pow.f64 x 5) x)))
(*.f64 (/.f64 -1 (fma.f64 3/40 (pow.f64 x 5) x)) -1)
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)) -1) (pow.f64 (sqrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)) -1))
(*.f64 (/.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) -1/2) 1) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) -1/2))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) -2)) 1) (cbrt.f64 (/.f64 1 (fma.f64 3/40 (pow.f64 x 5) x))))
(*.f64 (/.f64 1 (-.f64 (*.f64 (*.f64 3/40 (pow.f64 x 5)) (*.f64 3/40 (pow.f64 x 5))) (*.f64 x x))) (-.f64 (*.f64 3/40 (pow.f64 x 5)) x))
(*.f64 (/.f64 1 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 3/40 (pow.f64 x 5)) 3))) (+.f64 (*.f64 (*.f64 3/40 (pow.f64 x 5)) (*.f64 3/40 (pow.f64 x 5))) (-.f64 (*.f64 x x) (*.f64 (*.f64 3/40 (pow.f64 x 5)) x))))
(*.f64 (/.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) -1/2) (sqrt.f64 -1)) (sqrt.f64 (/.f64 -1 (fma.f64 3/40 (pow.f64 x 5) x))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) -2)) -1) (cbrt.f64 (/.f64 -1 (fma.f64 3/40 (pow.f64 x 5) x))))
(pow.f64 (/.f64 1 (fma.f64 3/40 (pow.f64 x 5) x)) 1)
(pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) -1)
(pow.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) -1/2) 2)
(pow.f64 (cbrt.f64 (/.f64 1 (fma.f64 3/40 (pow.f64 x 5) x))) 3)
(pow.f64 (/.f64 1 (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 (/.f64 1 (fma.f64 3/40 (pow.f64 x 5) x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 3/40 (pow.f64 x 5) x)))))
(cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 3/40 (pow.f64 x 5) x))))
(exp.f64 (neg.f64 (log.f64 (fma.f64 3/40 (pow.f64 x 5) x))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 3/40 (pow.f64 x 5) x))) 1))
(exp.f64 (*.f64 (log.f64 (fma.f64 3/40 (pow.f64 x 5) x)) -1))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 3/40 (pow.f64 x 5) 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)) x))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) 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 (*.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)) x))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) 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 (*.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)) x))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
x
(+.f64 (*.f64 3/40 (pow.f64 x 5)) x)
(fma.f64 3/40 (pow.f64 x 5) x)
(+.f64 (*.f64 3/40 (pow.f64 x 5)) x)
(fma.f64 3/40 (pow.f64 x 5) x)
(+.f64 (*.f64 3/40 (pow.f64 x 5)) x)
(fma.f64 3/40 (pow.f64 x 5) x)
(*.f64 3/40 (pow.f64 x 5))
(+.f64 (*.f64 3/40 (pow.f64 x 5)) x)
(fma.f64 3/40 (pow.f64 x 5) x)
(+.f64 (*.f64 3/40 (pow.f64 x 5)) x)
(fma.f64 3/40 (pow.f64 x 5) x)
(+.f64 (*.f64 3/40 (pow.f64 x 5)) x)
(fma.f64 3/40 (pow.f64 x 5) x)
(*.f64 3/40 (pow.f64 x 5))
(+.f64 (*.f64 3/40 (pow.f64 x 5)) x)
(fma.f64 3/40 (pow.f64 x 5) x)
(+.f64 (*.f64 3/40 (pow.f64 x 5)) x)
(fma.f64 3/40 (pow.f64 x 5) x)
(+.f64 (*.f64 3/40 (pow.f64 x 5)) x)
(fma.f64 3/40 (pow.f64 x 5) x)
x
(+.f64 (*.f64 3/40 (pow.f64 x 5)) x)
(fma.f64 3/40 (pow.f64 x 5) x)
(+.f64 (*.f64 3/40 (pow.f64 x 5)) x)
(fma.f64 3/40 (pow.f64 x 5) x)
(+.f64 (*.f64 3/40 (pow.f64 x 5)) x)
(fma.f64 3/40 (pow.f64 x 5) x)
(*.f64 3/40 (pow.f64 x 5))
(+.f64 (*.f64 3/40 (pow.f64 x 5)) x)
(fma.f64 3/40 (pow.f64 x 5) x)
(+.f64 (*.f64 3/40 (pow.f64 x 5)) x)
(fma.f64 3/40 (pow.f64 x 5) x)
(+.f64 (*.f64 3/40 (pow.f64 x 5)) x)
(fma.f64 3/40 (pow.f64 x 5) x)
(*.f64 3/40 (pow.f64 x 5))
(+.f64 (*.f64 3/40 (pow.f64 x 5)) x)
(fma.f64 3/40 (pow.f64 x 5) x)
(+.f64 (*.f64 3/40 (pow.f64 x 5)) x)
(fma.f64 3/40 (pow.f64 x 5) x)
(+.f64 (*.f64 3/40 (pow.f64 x 5)) x)
(fma.f64 3/40 (pow.f64 x 5) x)
(/.f64 1 x)
(+.f64 (/.f64 1 x) (*.f64 -3/40 (pow.f64 x 3)))
(+.f64 (/.f64 1 x) (*.f64 (pow.f64 x 3) -3/40))
(fma.f64 (pow.f64 x 3) -3/40 (/.f64 1 x))
(+.f64 (*.f64 9/1600 (pow.f64 x 7)) (+.f64 (/.f64 1 x) (*.f64 -3/40 (pow.f64 x 3))))
(fma.f64 9/1600 (pow.f64 x 7) (+.f64 (/.f64 1 x) (*.f64 (pow.f64 x 3) -3/40)))
(fma.f64 9/1600 (pow.f64 x 7) (fma.f64 (pow.f64 x 3) -3/40 (/.f64 1 x)))
(+.f64 (*.f64 -27/64000 (pow.f64 x 11)) (+.f64 (*.f64 9/1600 (pow.f64 x 7)) (+.f64 (/.f64 1 x) (*.f64 -3/40 (pow.f64 x 3)))))
(fma.f64 -27/64000 (pow.f64 x 11) (fma.f64 9/1600 (pow.f64 x 7) (+.f64 (/.f64 1 x) (*.f64 (pow.f64 x 3) -3/40))))
(fma.f64 -27/64000 (pow.f64 x 11) (fma.f64 9/1600 (pow.f64 x 7) (fma.f64 (pow.f64 x 3) -3/40 (/.f64 1 x))))
(/.f64 40/3 (pow.f64 x 5))
(-.f64 (*.f64 40/3 (/.f64 1 (pow.f64 x 5))) (*.f64 1600/9 (/.f64 1 (pow.f64 x 9))))
(-.f64 (/.f64 40/3 (pow.f64 x 5)) (/.f64 1600/9 (pow.f64 x 9)))
(+.f64 (/.f64 40/3 (pow.f64 x 5)) (/.f64 -1600/9 (pow.f64 x 9)))
(-.f64 (+.f64 (*.f64 64000/27 (/.f64 1 (pow.f64 x 13))) (*.f64 40/3 (/.f64 1 (pow.f64 x 5)))) (*.f64 1600/9 (/.f64 1 (pow.f64 x 9))))
(+.f64 (/.f64 64000/27 (pow.f64 x 13)) (-.f64 (/.f64 40/3 (pow.f64 x 5)) (/.f64 1600/9 (pow.f64 x 9))))
(+.f64 (/.f64 40/3 (pow.f64 x 5)) (+.f64 (/.f64 64000/27 (pow.f64 x 13)) (/.f64 -1600/9 (pow.f64 x 9))))
(-.f64 (+.f64 (*.f64 64000/27 (/.f64 1 (pow.f64 x 13))) (*.f64 40/3 (/.f64 1 (pow.f64 x 5)))) (+.f64 (*.f64 1600/9 (/.f64 1 (pow.f64 x 9))) (*.f64 2560000/81 (/.f64 1 (pow.f64 x 17)))))
(+.f64 (/.f64 64000/27 (pow.f64 x 13)) (-.f64 (/.f64 40/3 (pow.f64 x 5)) (+.f64 (/.f64 1600/9 (pow.f64 x 9)) (/.f64 2560000/81 (pow.f64 x 17)))))
(+.f64 (/.f64 40/3 (pow.f64 x 5)) (-.f64 (/.f64 64000/27 (pow.f64 x 13)) (+.f64 (/.f64 1600/9 (pow.f64 x 9)) (/.f64 2560000/81 (pow.f64 x 17)))))
(/.f64 40/3 (pow.f64 x 5))
(-.f64 (*.f64 40/3 (/.f64 1 (pow.f64 x 5))) (*.f64 1600/9 (/.f64 1 (pow.f64 x 9))))
(-.f64 (/.f64 40/3 (pow.f64 x 5)) (/.f64 1600/9 (pow.f64 x 9)))
(+.f64 (/.f64 40/3 (pow.f64 x 5)) (/.f64 -1600/9 (pow.f64 x 9)))
(-.f64 (+.f64 (*.f64 64000/27 (/.f64 1 (pow.f64 x 13))) (*.f64 40/3 (/.f64 1 (pow.f64 x 5)))) (*.f64 1600/9 (/.f64 1 (pow.f64 x 9))))
(+.f64 (/.f64 64000/27 (pow.f64 x 13)) (-.f64 (/.f64 40/3 (pow.f64 x 5)) (/.f64 1600/9 (pow.f64 x 9))))
(+.f64 (/.f64 40/3 (pow.f64 x 5)) (+.f64 (/.f64 64000/27 (pow.f64 x 13)) (/.f64 -1600/9 (pow.f64 x 9))))
(-.f64 (+.f64 (*.f64 64000/27 (/.f64 1 (pow.f64 x 13))) (*.f64 40/3 (/.f64 1 (pow.f64 x 5)))) (+.f64 (*.f64 1600/9 (/.f64 1 (pow.f64 x 9))) (*.f64 2560000/81 (/.f64 1 (pow.f64 x 17)))))
(+.f64 (/.f64 64000/27 (pow.f64 x 13)) (-.f64 (/.f64 40/3 (pow.f64 x 5)) (+.f64 (/.f64 1600/9 (pow.f64 x 9)) (/.f64 2560000/81 (pow.f64 x 17)))))
(+.f64 (/.f64 40/3 (pow.f64 x 5)) (-.f64 (/.f64 64000/27 (pow.f64 x 13)) (+.f64 (/.f64 1600/9 (pow.f64 x 9)) (/.f64 2560000/81 (pow.f64 x 17)))))
(-.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 (*.f64 -1/6 (pow.f64 x 3)))) (-.f64 1 (fma.f64 3/40 (pow.f64 x 5) x)))
(+.f64 (fma.f64 3/40 (pow.f64 x 5) x) (expm1.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)))) 1)
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(-.f64 (/.f64 (pow.f64 x 6) (/.f64 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) (fma.f64 3/40 (pow.f64 x 5) x)) 1/36)) (/.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) (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 (fma.f64 3/40 (pow.f64 x 5) x)))) 1/36) (/.f64 (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)) (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 -3/40 (pow.f64 x 5) (neg.f64 x))))
(-.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 (fma.f64 3/40 (pow.f64 x 5) x) (exp.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3))))) 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 (fma.f64 3/40 (pow.f64 x 5) x) (expm1.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3)))))
(-.f64 (+.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5))) (exp.f64 (log1p.f64 x))) 1)
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) (-.f64 (exp.f64 (log1p.f64 x)) 1))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (fma.f64 3/40 (pow.f64 x 5) (expm1.f64 (log1p.f64 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 (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 (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))
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(fma.f64 3/40 (pow.f64 x 5) x)
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 3/40 (pow.f64 x 5) x))) -1))
(fma.f64 3/40 (pow.f64 x 5) x)
(exp.f64 (*.f64 (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)
(+.f64 x (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 3/40 (pow.f64 x 5) x)
(+.f64 x (*.f64 (*.f64 3/40 (pow.f64 x 5)) 1))
(fma.f64 3/40 (pow.f64 x 5) x)
(+.f64 (*.f64 3/40 (pow.f64 x 5)) x)
(fma.f64 3/40 (pow.f64 x 5) x)
(+.f64 (*.f64 (*.f64 3/40 (pow.f64 x 5)) 1) x)
(fma.f64 3/40 (pow.f64 x 5) x)
(+.f64 (*.f64 1 (*.f64 (*.f64 3/40 (pow.f64 x 5)) 1)) x)
(fma.f64 3/40 (pow.f64 x 5) x)
(+.f64 (*.f64 -1 (neg.f64 (*.f64 3/40 (pow.f64 x 5)))) (*.f64 -1 (neg.f64 x)))
(fma.f64 3/40 (pow.f64 x 5) x)
(+.f64 (*.f64 (*.f64 (*.f64 3/40 (pow.f64 x 5)) 1) 1) x)
(fma.f64 3/40 (pow.f64 x 5) x)
(+.f64 (*.f64 (neg.f64 (*.f64 3/40 (pow.f64 x 5))) -1) (*.f64 (neg.f64 x) -1))
(fma.f64 3/40 (pow.f64 x 5) x)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 3/40 (pow.f64 x 5) x))) 1)
(fma.f64 3/40 (pow.f64 x 5) x)
(-.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (*.f64 3/40 (pow.f64 x 5))))
(-.f64 (exp.f64 (log1p.f64 x)) (+.f64 1 (*.f64 -3/40 (pow.f64 x 5))))
(fma.f64 3/40 (pow.f64 x 5) (expm1.f64 (log1p.f64 x)))
(-.f64 (+.f64 (*.f64 3/40 (pow.f64 x 5)) (exp.f64 (log1p.f64 x))) 1)
(-.f64 (exp.f64 (log1p.f64 x)) (+.f64 1 (*.f64 -3/40 (pow.f64 x 5))))
(fma.f64 3/40 (pow.f64 x 5) (expm1.f64 (log1p.f64 x)))
(-.f64 (+.f64 (*.f64 (*.f64 3/40 (pow.f64 x 5)) 1) (exp.f64 (log1p.f64 x))) 1)
(-.f64 (exp.f64 (log1p.f64 x)) (+.f64 1 (*.f64 -3/40 (pow.f64 x 5))))
(fma.f64 3/40 (pow.f64 x 5) (expm1.f64 (log1p.f64 x)))
(*.f64 1 (fma.f64 3/40 (pow.f64 x 5) x))
(fma.f64 3/40 (pow.f64 x 5) x)
(*.f64 1 (neg.f64 (neg.f64 (fma.f64 3/40 (pow.f64 x 5) x))))
(fma.f64 3/40 (pow.f64 x 5) x)
(*.f64 (fma.f64 3/40 (pow.f64 x 5) x) 1)
(fma.f64 3/40 (pow.f64 x 5) x)
(*.f64 (sqrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)) (sqrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)))
(fma.f64 3/40 (pow.f64 x 5) x)
(*.f64 (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)) (pow.f64 (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)) 2))
(fma.f64 3/40 (pow.f64 x 5) x)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)) 2) (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)))
(fma.f64 3/40 (pow.f64 x 5) x)
(*.f64 -1 (neg.f64 (fma.f64 3/40 (pow.f64 x 5) x)))
(fma.f64 3/40 (pow.f64 x 5) x)
(*.f64 (neg.f64 (fma.f64 3/40 (pow.f64 x 5) x)) -1)
(fma.f64 3/40 (pow.f64 x 5) x)
(*.f64 (pow.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) -1/2) -1) (pow.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) -1/2) -1))
(fma.f64 3/40 (pow.f64 x 5) x)
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) -2)) -1) (pow.f64 (cbrt.f64 (/.f64 1 (fma.f64 3/40 (pow.f64 x 5) x))) -1))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) -2))) (/.f64 1 (cbrt.f64 (/.f64 1 (fma.f64 3/40 (pow.f64 x 5) x)))))
(/.f64 1 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) -2)) (cbrt.f64 (/.f64 1 (fma.f64 3/40 (pow.f64 x 5) x)))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)) 1) (sqrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)))
(fma.f64 3/40 (pow.f64 x 5) x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)) 2) 1) (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)))
(fma.f64 3/40 (pow.f64 x 5) x)
(*.f64 (/.f64 (sqrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (fma.f64 3/40 (pow.f64 x 5) x))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)) (sqrt.f64 -1)) (sqrt.f64 (fma.f64 -3/40 (pow.f64 x 5) (neg.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)) 2) -1) (cbrt.f64 (neg.f64 (fma.f64 3/40 (pow.f64 x 5) x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)) 2) -1) (cbrt.f64 (fma.f64 -3/40 (pow.f64 x 5) (neg.f64 x))))
(pow.f64 (/.f64 1 (fma.f64 3/40 (pow.f64 x 5) x)) -1)
(fma.f64 3/40 (pow.f64 x 5) x)
(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 (neg.f64 (log.f64 (fma.f64 3/40 (pow.f64 x 5) x))) -1))
(fma.f64 3/40 (pow.f64 x 5) x)
(exp.f64 (*.f64 (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)
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 3/40 (pow.f64 x 5) x)))) 1)
(/.f64 1 (fma.f64 3/40 (pow.f64 x 5) x))
(*.f64 1 (/.f64 1 (fma.f64 3/40 (pow.f64 x 5) x)))
(/.f64 1 (fma.f64 3/40 (pow.f64 x 5) x))
(*.f64 1 (neg.f64 (/.f64 -1 (fma.f64 3/40 (pow.f64 x 5) x))))
(/.f64 1 (fma.f64 3/40 (pow.f64 x 5) x))
(*.f64 (/.f64 1 (fma.f64 3/40 (pow.f64 x 5) x)) 1)
(/.f64 1 (fma.f64 3/40 (pow.f64 x 5) x))
(*.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) -1/2) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) -1/2))
(/.f64 1 (fma.f64 3/40 (pow.f64 x 5) x))
(*.f64 (cbrt.f64 (/.f64 1 (fma.f64 3/40 (pow.f64 x 5) x))) (cbrt.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) -2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) -2)) (cbrt.f64 (/.f64 1 (fma.f64 3/40 (pow.f64 x 5) x))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) -2)) (cbrt.f64 (/.f64 1 (fma.f64 3/40 (pow.f64 x 5) x))))
(*.f64 -1 (/.f64 -1 (fma.f64 3/40 (pow.f64 x 5) x)))
(/.f64 1 (fma.f64 3/40 (pow.f64 x 5) x))
(*.f64 (/.f64 -1 (fma.f64 3/40 (pow.f64 x 5) x)) -1)
(/.f64 1 (fma.f64 3/40 (pow.f64 x 5) x))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)) -1) (pow.f64 (sqrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)) -1))
(/.f64 1 (fma.f64 3/40 (pow.f64 x 5) x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)) -1))
(/.f64 1 (fma.f64 3/40 (pow.f64 x 5) x))
(*.f64 (/.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) -1/2) 1) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) -1/2))
(/.f64 1 (fma.f64 3/40 (pow.f64 x 5) x))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) -2)) 1) (cbrt.f64 (/.f64 1 (fma.f64 3/40 (pow.f64 x 5) x))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) -2)) (cbrt.f64 (/.f64 1 (fma.f64 3/40 (pow.f64 x 5) x))))
(*.f64 (/.f64 1 (-.f64 (*.f64 (*.f64 3/40 (pow.f64 x 5)) (*.f64 3/40 (pow.f64 x 5))) (*.f64 x x))) (-.f64 (*.f64 3/40 (pow.f64 x 5)) x))
(/.f64 (fma.f64 3/40 (pow.f64 x 5) (neg.f64 x)) (-.f64 (*.f64 9/1600 (*.f64 (pow.f64 x 5) (pow.f64 x 5))) (*.f64 x x)))
(/.f64 (fma.f64 3/40 (pow.f64 x 5) (neg.f64 x)) (fma.f64 9/1600 (pow.f64 x 10) (*.f64 x (neg.f64 x))))
(*.f64 (/.f64 1 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 3/40 (pow.f64 x 5)) 3))) (+.f64 (*.f64 (*.f64 3/40 (pow.f64 x 5)) (*.f64 3/40 (pow.f64 x 5))) (-.f64 (*.f64 x x) (*.f64 (*.f64 3/40 (pow.f64 x 5)) x))))
(/.f64 (+.f64 (*.f64 9/1600 (*.f64 (pow.f64 x 5) (pow.f64 x 5))) (*.f64 x (-.f64 x (*.f64 3/40 (pow.f64 x 5))))) (+.f64 (pow.f64 x 3) (*.f64 27/64000 (pow.f64 (pow.f64 x 5) 3))))
(/.f64 (fma.f64 9/1600 (pow.f64 x 10) (fma.f64 x x (*.f64 -3/40 (pow.f64 x 6)))) (fma.f64 27/64000 (pow.f64 (pow.f64 x 5) 3) (pow.f64 x 3)))
(*.f64 (/.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) -1/2) (sqrt.f64 -1)) (sqrt.f64 (/.f64 -1 (fma.f64 3/40 (pow.f64 x 5) x))))
(*.f64 (sqrt.f64 (/.f64 -1 (fma.f64 3/40 (pow.f64 x 5) x))) (/.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) -1/2) (sqrt.f64 -1)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) -2)) -1) (cbrt.f64 (/.f64 -1 (fma.f64 3/40 (pow.f64 x 5) x))))
(*.f64 (cbrt.f64 (/.f64 -1 (fma.f64 3/40 (pow.f64 x 5) x))) (/.f64 (cbrt.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) -2)) -1))
(pow.f64 (/.f64 1 (fma.f64 3/40 (pow.f64 x 5) x)) 1)
(/.f64 1 (fma.f64 3/40 (pow.f64 x 5) x))
(pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) -1)
(/.f64 1 (fma.f64 3/40 (pow.f64 x 5) x))
(pow.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) -1/2) 2)
(/.f64 1 (fma.f64 3/40 (pow.f64 x 5) x))
(pow.f64 (cbrt.f64 (/.f64 1 (fma.f64 3/40 (pow.f64 x 5) x))) 3)
(/.f64 1 (fma.f64 3/40 (pow.f64 x 5) x))
(pow.f64 (/.f64 1 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3)) 1/3)
(cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3)))
(sqrt.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) -2))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 3/40 (pow.f64 x 5) x))))
(/.f64 1 (fma.f64 3/40 (pow.f64 x 5) x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 3/40 (pow.f64 x 5) x)))))
(/.f64 1 (fma.f64 3/40 (pow.f64 x 5) x))
(cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 3/40 (pow.f64 x 5) x))))
(/.f64 1 (fma.f64 3/40 (pow.f64 x 5) x))
(exp.f64 (neg.f64 (log.f64 (fma.f64 3/40 (pow.f64 x 5) x))))
(/.f64 1 (fma.f64 3/40 (pow.f64 x 5) x))
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 3/40 (pow.f64 x 5) x))) 1))
(/.f64 1 (fma.f64 3/40 (pow.f64 x 5) x))
(exp.f64 (*.f64 (log.f64 (fma.f64 3/40 (pow.f64 x 5) x)) -1))
(/.f64 1 (fma.f64 3/40 (pow.f64 x 5) x))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 3/40 (pow.f64 x 5) x))))
(/.f64 1 (fma.f64 3/40 (pow.f64 x 5) x))

eval644.0ms (6.4%)

Compiler

Compiled 23316 to 18250 computations (21.7% saved)

prune234.0ms (2.3%)

Pruning

17 alts after pruning (13 fresh and 4 done)

PrunedKeptTotal
New102391032
Fresh145
Picked101
Done448
Total1029171046
Error
0b
Counts
1046 → 17
Alt Table
Click to see full alt table
StatusErrorProgram
30.1b
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (/.f64 1 (/.f64 1 (+.f64 (*.f64 3/40 (pow.f64 x 5)) x))))
30.5b
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (/.f64 1 (/.f64 1 x)))
30.2b
(+.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)))
✓30.4b
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
47.9b
(neg.f64 (log.f64 (/.f64 x -1/2)))
▶44.2b
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
▶63.3b
(log1p.f64 (-.f64 (/.f64 -1/2 x) 1))
45.7b
(log1p.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1)))
▶15.2b
(log1p.f64 (+.f64 x (/.f64 x (/.f64 (+.f64 1 (hypot.f64 1 x)) x))))
▶49.1b
(log1p.f64 (+.f64 x (+.f64 (/.f64 1/2 x) (+.f64 x -1))))
▶26.8b
(log1p.f64 x)
47.3b
(log.f64 (/.f64 1 (-.f64 (*.f64 x -2) (/.f64 1/2 x))))
44.2b
(log.f64 (/.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) (+.f64 x x)))))
✓47.9b
(log.f64 (/.f64 -1/2 x))
✓46.2b
(log.f64 (+.f64 x (hypot.f64 1 x)))
✓49.8b
(log.f64 (+.f64 x x))
29.0b
x
Compiler

Compiled 289 to 223 computations (22.8% saved)

localize28.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (+.f64 1 (hypot.f64 1 x)) x)
✓0.1b
(/.f64 x (/.f64 (+.f64 1 (hypot.f64 1 x)) x))
✓0.5b
(log1p.f64 (+.f64 x (/.f64 x (/.f64 (+.f64 1 (hypot.f64 1 x)) x))))
✓2.0b
(+.f64 x (/.f64 x (/.f64 (+.f64 1 (hypot.f64 1 x)) x)))
Compiler

Compiled 50 to 34 computations (32% saved)

series2.0ms (0%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
0.0ms
x
@-inf
(log1p.f64 (+.f64 x (/.f64 x (/.f64 (+.f64 1 (hypot.f64 1 x)) x))))
0.0ms
x
@0
(log1p.f64 (+.f64 x (/.f64 x (/.f64 (+.f64 1 (hypot.f64 1 x)) x))))
0.0ms
x
@0
(+.f64 x (/.f64 x (/.f64 (+.f64 1 (hypot.f64 1 x)) x)))
0.0ms
x
@inf
(log1p.f64 (+.f64 x (/.f64 x (/.f64 (+.f64 1 (hypot.f64 1 x)) x))))
0.0ms
x
@-inf
(+.f64 x (/.f64 x (/.f64 (+.f64 1 (hypot.f64 1 x)) x)))

rewrite91.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
1614×associate-/l*
976×associate-/r/
846×distribute-rgt-in
814×distribute-lft-in
606×associate-/l/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
011110
1242102
23440102
Stop Event
1×node limit
Counts
4 → 206
Calls
Call 1
Inputs
(+.f64 x (/.f64 x (/.f64 (+.f64 1 (hypot.f64 1 x)) x)))
(log1p.f64 (+.f64 x (/.f64 x (/.f64 (+.f64 1 (hypot.f64 1 x)) x))))
(/.f64 x (/.f64 (+.f64 1 (hypot.f64 1 x)) x))
(/.f64 (+.f64 1 (hypot.f64 1 x)) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x))) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x)))))) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (*.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x (/.f64 (-.f64 x (*.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x))))) x)) (/.f64 (pow.f64 (*.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x)))) 2) (-.f64 x (*.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x (exp.f64 (log1p.f64 (*.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x)))) (exp.f64 (log1p.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (+.f64 1 (/.f64 x (+.f64 1 (hypot.f64 1 x)))))))) (#(struct:change 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (-.f64 -1 (hypot.f64 1 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 x)) (-.f64 -1 (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (hypot.f64 1 x)) x)) 2) 1) (cbrt.f64 (/.f64 (+.f64 1 (hypot.f64 1 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 1 (hypot.f64 1 x))) 1) (/.f64 (sqrt.f64 (+.f64 1 (hypot.f64 1 x))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 1 (hypot.f64 1 x))) x) (sqrt.f64 (+.f64 1 (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 1 (hypot.f64 1 x))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (+.f64 1 (hypot.f64 1 x))) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (hypot.f64 1 x))) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 (hypot.f64 1 x))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (hypot.f64 1 x))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 1 (hypot.f64 1 x))) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (hypot.f64 1 x))) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (+.f64 1 (hypot.f64 1 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (hypot.f64 1 x))) 2) x) (cbrt.f64 (+.f64 1 (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 1 (hypot.f64 1 x))) 2))) (cbrt.f64 (+.f64 1 (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (-.f64 0 (*.f64 x x)) (pow.f64 x -1)) (-.f64 0 (*.f64 x x))) (+.f64 1 (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (-.f64 0 (*.f64 x x)) (pow.f64 x -1)) (-.f64 1 (pow.f64 (hypot.f64 1 x) 3))) (+.f64 (+.f64 2 (*.f64 x x)) (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (hypot.f64 1 x) 3)) (pow.f64 x -1)) (-.f64 1 (*.f64 (+.f64 1 (-.f64 (*.f64 x x) (hypot.f64 1 x))) (+.f64 1 (-.f64 (*.f64 x x) (hypot.f64 1 x)))))) (+.f64 (-.f64 0 (*.f64 x x)) (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (hypot.f64 1 x) 3)) (pow.f64 x -1)) (+.f64 1 (pow.f64 (+.f64 1 (-.f64 (*.f64 x x) (hypot.f64 1 x))) 3))) (+.f64 1 (+.f64 (-.f64 (*.f64 (+.f64 1 (-.f64 (*.f64 x x) (hypot.f64 1 x))) (+.f64 1 (-.f64 (*.f64 x x) (hypot.f64 1 x)))) (+.f64 1 (*.f64 x x))) (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 (hypot.f64 1 x)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 1 (hypot.f64 1 x)) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (hypot.f64 1 x)) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 1 (hypot.f64 1 x)) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (+.f64 1 (hypot.f64 1 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 1 (hypot.f64 1 x)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 1 (hypot.f64 1 x)) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 1 (hypot.f64 1 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 (hypot.f64 1 x)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (hypot.f64 1 x)) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (hypot.f64 1 x)) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 1 (hypot.f64 1 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 (hypot.f64 1 x)) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 (hypot.f64 1 x)) (log.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 1 (hypot.f64 1 x)) x)))))))

simplify100.0ms (1%)

Algorithm
1×egg-herbie
Rules
838×associate-*r*
716×associate-*l*
652×associate-/l*
652×*-commutative
582×fma-def
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
062210104
118989322
Stop Event
1×node limit
Counts
254 → 383
Calls
Call 1
Inputs
x
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) x))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/16 (pow.f64 x 6)) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) x)))
(*.f64 2 x)
(-.f64 (*.f64 2 x) 1)
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 2 x)) 1)
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 2 x)) (+.f64 1 (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
-1
(neg.f64 (+.f64 1 (*.f64 1/2 (/.f64 1 x))))
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 1 x)) 1))
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 1 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))))))
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.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 1/2 (pow.f64 x 2))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/8 (pow.f64 x 4)))
(+.f64 (*.f64 1/16 (pow.f64 x 6)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/8 (pow.f64 x 4))))
(+.f64 (*.f64 1/16 (pow.f64 x 6)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) (*.f64 -5/128 (pow.f64 x 8)))))
x
(-.f64 x 1)
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) x) 1)
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) x) (+.f64 1 (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(*.f64 -1 x)
(-.f64 (*.f64 -1 x) 1)
(-.f64 (*.f64 -1 x) (+.f64 (*.f64 1/2 (/.f64 1 x)) 1))
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 -1 x)) (+.f64 (*.f64 1/2 (/.f64 1 x)) 1))
(/.f64 2 x)
(+.f64 (*.f64 1/2 x) (*.f64 2 (/.f64 1 x)))
(+.f64 (*.f64 -1/8 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (*.f64 2 (/.f64 1 x))))
(+.f64 (*.f64 -1/8 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 1/16 (pow.f64 x 5)))))
1
(+.f64 1 (/.f64 1 x))
(+.f64 1 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)))
(-.f64 (+.f64 1 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))) (*.f64 1/8 (/.f64 1 (pow.f64 x 4))))
-1
(-.f64 (/.f64 1 x) 1)
(-.f64 (/.f64 1 x) (+.f64 1 (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 4))) (/.f64 1 x)) (+.f64 1 (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 1 (fma.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x))) x)) 1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x)))))) (-.f64 1 x))
(-.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (*.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x))))))
(-.f64 (/.f64 x (/.f64 (-.f64 x (*.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x))))) x)) (/.f64 (pow.f64 (*.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x)))) 2) (-.f64 x (*.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x)))))))
(-.f64 (+.f64 x (exp.f64 (log1p.f64 (*.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x))))))) 1)
(-.f64 (+.f64 (*.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x)))) (exp.f64 (log1p.f64 x))) 1)
(*.f64 x (+.f64 1 (/.f64 x (+.f64 1 (hypot.f64 1 x)))))
(*.f64 1 (fma.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x))) x))
(*.f64 (fma.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x))) x) 1)
(*.f64 (sqrt.f64 (fma.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x))) x)) (sqrt.f64 (fma.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x))) x)))
(*.f64 (cbrt.f64 (fma.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x))) x)) (pow.f64 (cbrt.f64 (fma.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x))) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x))) x)) 2) (cbrt.f64 (fma.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x))) x)))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x)))) 2)) (/.f64 1 (-.f64 x (*.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x)))))))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x)))) 3)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x)))) (-.f64 (*.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x)))) x)))))
(*.f64 (+.f64 1 (/.f64 x (+.f64 1 (hypot.f64 1 x)))) x)
(*.f64 (/.f64 1 (-.f64 x (*.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x)))))) (-.f64 (*.f64 x x) (pow.f64 (*.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x)))) 2)))
(*.f64 (/.f64 1 (fma.f64 x x (*.f64 (*.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x)))) (-.f64 (*.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x)))) x)))) (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x)))) 3)))
(*.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x)))) 2)) (-.f64 (*.f64 x x) (pow.f64 (*.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x)))) 2))) (fma.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x))) x))
(*.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x)))) 2)) (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x)))) 3))) (+.f64 (*.f64 x x) (*.f64 (*.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x)))) (fma.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x))) x))))
(*.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x)))) 3)) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x)))) (-.f64 (*.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x)))) x)) (*.f64 (*.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x)))) (-.f64 (*.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x)))) x))))) (-.f64 (*.f64 x x) (*.f64 (*.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x)))) (-.f64 (*.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x)))) x))))
(*.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x)))) 3)) (+.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 (*.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x)))) (-.f64 (*.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x)))) x)) 3))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 (*.f64 (*.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x)))) (-.f64 (*.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x)))) x)) (*.f64 (*.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x)))) (-.f64 (*.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x)))) x))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x)))) (-.f64 (*.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x)))) x))))))
(/.f64 1 (/.f64 1 (fma.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x))) x)))
(/.f64 (fma.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x))) x) (/.f64 (-.f64 x (*.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x))))) (-.f64 x (*.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x)))))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x)))) 2)) (-.f64 x (*.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x)))) 3)) (fma.f64 x x (*.f64 (*.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x)))) (-.f64 (*.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x)))) x))))
(/.f64 (fma.f64 x x (*.f64 (*.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x)))) (-.f64 (*.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x)))) x))) (/.f64 (fma.f64 x x (*.f64 (*.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x)))) (-.f64 (*.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x)))) x))) (fma.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x))) x)))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x)))) 3))) (/.f64 (fma.f64 x x (*.f64 (*.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x)))) (-.f64 (*.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x)))) x))) (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x)))) 3)))))
(/.f64 (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x)))) 2))) (/.f64 (-.f64 x (*.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x))))) (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x)))) 2)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x)))) 3))) (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x)))) 3)))) (/.f64 (fma.f64 x x (*.f64 (*.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x)))) (-.f64 (*.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x)))) x))) (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x)))) 3)))))
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(+.f64 (*.f64 (hypot.f64 1 x) (pow.f64 x -1)) (pow.f64 x -1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 (hypot.f64 1 x)) x))) 1)
(*.f64 1 (/.f64 (+.f64 1 (hypot.f64 1 x)) x))
(*.f64 (+.f64 1 (hypot.f64 1 x)) (pow.f64 x -1))
(*.f64 (/.f64 (+.f64 1 (hypot.f64 1 x)) x) 1)
(*.f64 (sqrt.f64 (+.f64 1 (hypot.f64 1 x))) (*.f64 (sqrt.f64 (+.f64 1 (hypot.f64 1 x))) (pow.f64 x -1)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 1 (hypot.f64 1 x)) x)) (sqrt.f64 (/.f64 (+.f64 1 (hypot.f64 1 x)) x)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (hypot.f64 1 x))) 2) (*.f64 (cbrt.f64 (+.f64 1 (hypot.f64 1 x))) (pow.f64 x -1)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 (hypot.f64 1 x)) x)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (hypot.f64 1 x)) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (hypot.f64 1 x)) x)) 2) (cbrt.f64 (/.f64 (+.f64 1 (hypot.f64 1 x)) x)))
(*.f64 (pow.f64 x -1) (+.f64 1 (hypot.f64 1 x)))
(*.f64 (-.f64 -1 (hypot.f64 1 x)) (/.f64 1 (neg.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (+.f64 1 (hypot.f64 1 x)) (sqrt.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 1 (hypot.f64 1 x)) (cbrt.f64 x)))
(*.f64 -1 (/.f64 (-.f64 -1 (hypot.f64 1 x)) x))
(*.f64 (/.f64 1 (neg.f64 x)) (-.f64 -1 (hypot.f64 1 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (hypot.f64 1 x)) x)) 2) 1) (cbrt.f64 (/.f64 (+.f64 1 (hypot.f64 1 x)) x)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 (hypot.f64 1 x))) 1) (/.f64 (sqrt.f64 (+.f64 1 (hypot.f64 1 x))) x))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 (hypot.f64 1 x))) x) (sqrt.f64 (+.f64 1 (hypot.f64 1 x))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 (hypot.f64 1 x))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (+.f64 1 (hypot.f64 1 x))) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (hypot.f64 1 x))) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 (hypot.f64 1 x))) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (hypot.f64 1 x))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 1 (hypot.f64 1 x))) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (hypot.f64 1 x))) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (+.f64 1 (hypot.f64 1 x)) x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (hypot.f64 1 x))) 2) x) (cbrt.f64 (+.f64 1 (hypot.f64 1 x))))
(*.f64 (/.f64 1 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 1 (hypot.f64 1 x))) 2))) (cbrt.f64 (+.f64 1 (hypot.f64 1 x))))
(*.f64 (/.f64 (*.f64 (-.f64 0 (*.f64 x x)) (pow.f64 x -1)) (-.f64 0 (*.f64 x x))) (+.f64 1 (hypot.f64 1 x)))
(*.f64 (/.f64 (*.f64 (-.f64 0 (*.f64 x x)) (pow.f64 x -1)) (-.f64 1 (pow.f64 (hypot.f64 1 x) 3))) (+.f64 (+.f64 2 (*.f64 x x)) (hypot.f64 1 x)))
(*.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (hypot.f64 1 x) 3)) (pow.f64 x -1)) (-.f64 1 (*.f64 (+.f64 1 (-.f64 (*.f64 x x) (hypot.f64 1 x))) (+.f64 1 (-.f64 (*.f64 x x) (hypot.f64 1 x)))))) (+.f64 (-.f64 0 (*.f64 x x)) (hypot.f64 1 x)))
(*.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (hypot.f64 1 x) 3)) (pow.f64 x -1)) (+.f64 1 (pow.f64 (+.f64 1 (-.f64 (*.f64 x x) (hypot.f64 1 x))) 3))) (+.f64 1 (+.f64 (-.f64 (*.f64 (+.f64 1 (-.f64 (*.f64 x x) (hypot.f64 1 x))) (+.f64 1 (-.f64 (*.f64 x x) (hypot.f64 1 x)))) (+.f64 1 (*.f64 x x))) (hypot.f64 1 x))))
(pow.f64 (/.f64 (+.f64 1 (hypot.f64 1 x)) x) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 (hypot.f64 1 x)) x)) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (hypot.f64 1 x)) x)) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 1 (hypot.f64 1 x)) x) 3) 1/3)
(pow.f64 (/.f64 x (+.f64 1 (hypot.f64 1 x))) -1)
(neg.f64 (/.f64 (+.f64 1 (hypot.f64 1 x)) (neg.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 (hypot.f64 1 x)) x) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 1 (hypot.f64 1 x)) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 (hypot.f64 1 x)) x))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (hypot.f64 1 x)) x) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (hypot.f64 1 x)) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 (hypot.f64 1 x)) x)))
(exp.f64 (-.f64 (log1p.f64 (hypot.f64 1 x)) (log.f64 x)))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (hypot.f64 1 x)) (log.f64 x)) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 (hypot.f64 1 x)) x)))
Outputs
x
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(fma.f64 1/2 (*.f64 x x) x)
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) x))
(fma.f64 1/2 (*.f64 x x) (fma.f64 -1/8 (pow.f64 x 4) x))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/16 (pow.f64 x 6)) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) x)))
(fma.f64 1/2 (*.f64 x x) (fma.f64 1/16 (pow.f64 x 6) (fma.f64 -1/8 (pow.f64 x 4) x)))
(*.f64 2 x)
(*.f64 x 2)
(-.f64 (*.f64 2 x) 1)
(fma.f64 2 x -1)
(fma.f64 x 2 -1)
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 2 x)) 1)
(+.f64 (/.f64 1/2 x) (fma.f64 2 x -1))
(+.f64 (fma.f64 x 2 -1) (/.f64 1/2 x))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 2 x)) (+.f64 1 (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 (/.f64 1/2 x) (fma.f64 2 x -1)) (/.f64 1/8 (pow.f64 x 3)))
(+.f64 (/.f64 1/2 x) (-.f64 (fma.f64 x 2 -1) (/.f64 1/8 (pow.f64 x 3))))
-1
(neg.f64 (+.f64 1 (*.f64 1/2 (/.f64 1 x))))
(+.f64 -1 (neg.f64 (/.f64 1/2 x)))
(+.f64 -1 (/.f64 -1/2 x))
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 1 x)) 1))
(-.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 1 (/.f64 1/2 x)))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 -1 (/.f64 -1/2 x)))
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 1 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))))))
(-.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (+.f64 1 (/.f64 1/16 (pow.f64 x 5)))))
(-.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 1 (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5)))))
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 (pow.f64 x 3) -1/6 x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(fma.f64 (pow.f64 x 3) -1/6 (fma.f64 (pow.f64 x 5) 3/40 x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x)))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x)))
(fma.f64 (pow.f64 x 3) -1/6 (fma.f64 (pow.f64 x 5) 3/40 (fma.f64 -5/112 (pow.f64 x 7) x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x))))
(+.f64 (+.f64 (log.f64 2) (log.f64 x)) (/.f64 1/4 (*.f64 x x)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x)))) (/.f64 3/32 (pow.f64 x 4)))
(+.f64 (+.f64 (log.f64 2) (log.f64 x)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 -3/32 (pow.f64 x 4))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6))))) (/.f64 3/32 (pow.f64 x 4)))
(+.f64 (log.f64 x) (-.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (+.f64 (log.f64 2) (/.f64 5/96 (pow.f64 x 6)))) (/.f64 3/32 (pow.f64 x 4))))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 (/.f64 -1 x)) (-.f64 (log.f64 1/2) (/.f64 1/4 (*.f64 x x))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (/.f64 -1/4 (*.f64 x x))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 (/.f64 -1 x)) (-.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (log.f64 1/2)) (/.f64 1/4 (*.f64 x x))))
(+.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (-.f64 (/.f64 3/32 (pow.f64 x 4)) (/.f64 1/4 (*.f64 x x))))
(-.f64 (+.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 1/2 (pow.f64 x 2))
(*.f64 1/2 (*.f64 x x))
(*.f64 x (*.f64 x 1/2))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/8 (pow.f64 x 4)))
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/8 (pow.f64 x 4)))
(+.f64 (*.f64 1/16 (pow.f64 x 6)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/8 (pow.f64 x 4))))
(fma.f64 1/16 (pow.f64 x 6) (fma.f64 1/2 (*.f64 x x) (*.f64 -1/8 (pow.f64 x 4))))
(+.f64 (*.f64 1/16 (pow.f64 x 6)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) (*.f64 -5/128 (pow.f64 x 8)))))
(fma.f64 1/16 (pow.f64 x 6) (fma.f64 1/2 (*.f64 x x) (fma.f64 -1/8 (pow.f64 x 4) (*.f64 -5/128 (pow.f64 x 8)))))
(fma.f64 1/16 (pow.f64 x 6) (fma.f64 1/2 (*.f64 x x) (fma.f64 -5/128 (pow.f64 x 8) (*.f64 -1/8 (pow.f64 x 4)))))
x
(-.f64 x 1)
(+.f64 x -1)
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) x) 1)
(+.f64 (/.f64 1/2 x) (-.f64 x 1))
(+.f64 x (+.f64 (/.f64 1/2 x) -1))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) x) (+.f64 1 (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 1/2 x) (-.f64 x (+.f64 1 (/.f64 1/8 (pow.f64 x 3)))))
(*.f64 -1 x)
(neg.f64 x)
(-.f64 (*.f64 -1 x) 1)
(fma.f64 -1 x -1)
(fma.f64 x -1 -1)
(-.f64 (*.f64 -1 x) (+.f64 (*.f64 1/2 (/.f64 1 x)) 1))
(-.f64 (neg.f64 x) (+.f64 1 (/.f64 1/2 x)))
(+.f64 (fma.f64 x -1 -1) (/.f64 -1/2 x))
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 -1 x)) (+.f64 (*.f64 1/2 (/.f64 1 x)) 1))
(-.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (neg.f64 x)) (+.f64 1 (/.f64 1/2 x)))
(+.f64 (-.f64 (/.f64 1/8 (pow.f64 x 3)) x) (+.f64 -1 (/.f64 -1/2 x)))
(/.f64 2 x)
(+.f64 (*.f64 1/2 x) (*.f64 2 (/.f64 1 x)))
(fma.f64 1/2 x (/.f64 2 x))
(fma.f64 x 1/2 (/.f64 2 x))
(+.f64 (*.f64 -1/8 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (*.f64 2 (/.f64 1 x))))
(fma.f64 -1/8 (pow.f64 x 3) (fma.f64 1/2 x (/.f64 2 x)))
(fma.f64 -1/8 (pow.f64 x 3) (fma.f64 x 1/2 (/.f64 2 x)))
(+.f64 (*.f64 -1/8 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 1/16 (pow.f64 x 5)))))
(fma.f64 -1/8 (pow.f64 x 3) (+.f64 (fma.f64 1/2 x (/.f64 2 x)) (*.f64 1/16 (pow.f64 x 5))))
(fma.f64 -1/8 (pow.f64 x 3) (fma.f64 x 1/2 (fma.f64 1/16 (pow.f64 x 5) (/.f64 2 x))))
1
(+.f64 1 (/.f64 1 x))
(+.f64 1 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)))
(+.f64 1 (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1 x)))
(+.f64 (+.f64 1 (/.f64 1 x)) (/.f64 1/2 (*.f64 x x)))
(-.f64 (+.f64 1 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))) (*.f64 1/8 (/.f64 1 (pow.f64 x 4))))
(+.f64 1 (-.f64 (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1 x)) (/.f64 1/8 (pow.f64 x 4))))
(+.f64 1 (+.f64 (/.f64 1/2 (*.f64 x x)) (-.f64 (/.f64 1 x) (/.f64 1/8 (pow.f64 x 4)))))
-1
(-.f64 (/.f64 1 x) 1)
(+.f64 (/.f64 1 x) -1)
(+.f64 -1 (/.f64 1 x))
(-.f64 (/.f64 1 x) (+.f64 1 (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (/.f64 1 x) -1) (/.f64 1/2 (*.f64 x x)))
(-.f64 (+.f64 -1 (/.f64 1 x)) (/.f64 1/2 (*.f64 x x)))
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 4))) (/.f64 1 x)) (+.f64 1 (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (/.f64 1/8 (pow.f64 x 4)) (-.f64 (+.f64 (/.f64 1 x) -1) (/.f64 1/2 (*.f64 x x))))
(+.f64 (/.f64 1/8 (pow.f64 x 4)) (-.f64 (+.f64 -1 (/.f64 1 x)) (/.f64 1/2 (*.f64 x x))))
(-.f64 (+.f64 1 (fma.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x))) x)) 1)
(+.f64 1 (-.f64 (fma.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x))) x) 1))
(+.f64 (fma.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x))) x) 0)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x)))))) (-.f64 1 x))
(fma.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x))) x)
(-.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (*.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x))))))
(fma.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x))) (expm1.f64 (log1p.f64 x)))
(-.f64 (/.f64 x (/.f64 (-.f64 x (*.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x))))) x)) (/.f64 (pow.f64 (*.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x)))) 2) (-.f64 x (*.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x)))))))
(fma.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x))) x)
(-.f64 (+.f64 x (exp.f64 (log1p.f64 (*.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x))))))) 1)
(fma.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x))) x)
(-.f64 (+.f64 (*.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x)))) (exp.f64 (log1p.f64 x))) 1)
(-.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (*.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x))))))
(fma.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x))) (expm1.f64 (log1p.f64 x)))
(*.f64 x (+.f64 1 (/.f64 x (+.f64 1 (hypot.f64 1 x)))))
(fma.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x))) x)
(*.f64 1 (fma.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x))) x))
(fma.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x))) x)
(*.f64 (fma.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x))) x) 1)
(fma.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x))) x)
(*.f64 (sqrt.f64 (fma.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x))) x)) (sqrt.f64 (fma.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x))) x)))
(fma.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x))) x)
(*.f64 (cbrt.f64 (fma.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x))) x)) (pow.f64 (cbrt.f64 (fma.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x))) x)) 2))
(fma.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x))) x)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x))) x)) 2) (cbrt.f64 (fma.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x))) x)))
(fma.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x))) x)
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x)))) 2)) (/.f64 1 (-.f64 x (*.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x)))))))
(fma.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x))) x)
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (hypot.f64 1 x)) x)) 2) 1) (cbrt.f64 (/.f64 (+.f64 1 (hypot.f64 1 x)) x)))
(*.f64 (+.f64 1 (hypot.f64 1 x)) (/.f64 1 x))
(/.f64 (+.f64 1 (hypot.f64 1 x)) x)
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 (hypot.f64 1 x))) 1) (/.f64 (sqrt.f64 (+.f64 1 (hypot.f64 1 x))) x))
(*.f64 (+.f64 1 (hypot.f64 1 x)) (/.f64 1 x))
(/.f64 (+.f64 1 (hypot.f64 1 x)) x)
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 (hypot.f64 1 x))) x) (sqrt.f64 (+.f64 1 (hypot.f64 1 x))))
(*.f64 (+.f64 1 (hypot.f64 1 x)) (/.f64 1 x))
(/.f64 (+.f64 1 (hypot.f64 1 x)) x)
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 (hypot.f64 1 x))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (+.f64 1 (hypot.f64 1 x))) (cbrt.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 1 (hypot.f64 1 x)) (cbrt.f64 x)))
(/.f64 (/.f64 (+.f64 1 (hypot.f64 1 x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (hypot.f64 1 x))) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 (hypot.f64 1 x))) x))
(*.f64 (+.f64 1 (hypot.f64 1 x)) (/.f64 1 x))
(/.f64 (+.f64 1 (hypot.f64 1 x)) x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (hypot.f64 1 x))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 1 (hypot.f64 1 x))) (sqrt.f64 x)))
(*.f64 (/.f64 (+.f64 1 (hypot.f64 1 x)) (sqrt.f64 x)) (/.f64 1 (sqrt.f64 x)))
(/.f64 (/.f64 (+.f64 1 (hypot.f64 1 x)) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (hypot.f64 1 x))) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (+.f64 1 (hypot.f64 1 x)) x)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 (hypot.f64 1 x)) x)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (hypot.f64 1 x))) 2) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (hypot.f64 1 x))) 2) x) (cbrt.f64 (+.f64 1 (hypot.f64 1 x))))
(*.f64 (+.f64 1 (hypot.f64 1 x)) (/.f64 1 x))
(/.f64 (+.f64 1 (hypot.f64 1 x)) x)
(*.f64 (/.f64 1 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 1 (hypot.f64 1 x))) 2))) (cbrt.f64 (+.f64 1 (hypot.f64 1 x))))
(*.f64 (+.f64 1 (hypot.f64 1 x)) (/.f64 1 x))
(/.f64 (+.f64 1 (hypot.f64 1 x)) x)
(*.f64 (/.f64 (*.f64 (-.f64 0 (*.f64 x x)) (pow.f64 x -1)) (-.f64 0 (*.f64 x x))) (+.f64 1 (hypot.f64 1 x)))
(*.f64 (+.f64 1 (hypot.f64 1 x)) (/.f64 1 x))
(/.f64 (+.f64 1 (hypot.f64 1 x)) x)
(*.f64 (/.f64 (*.f64 (-.f64 0 (*.f64 x x)) (pow.f64 x -1)) (-.f64 1 (pow.f64 (hypot.f64 1 x) 3))) (+.f64 (+.f64 2 (*.f64 x x)) (hypot.f64 1 x)))
(*.f64 (/.f64 (neg.f64 (*.f64 x x)) (/.f64 (-.f64 1 (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 x))) (+.f64 2 (+.f64 (*.f64 x x) (hypot.f64 1 x))))
(*.f64 (/.f64 (neg.f64 x) (-.f64 1 (pow.f64 (hypot.f64 1 x) 3))) (+.f64 (hypot.f64 1 x) (fma.f64 x x 2)))
(*.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (hypot.f64 1 x) 3)) (pow.f64 x -1)) (-.f64 1 (*.f64 (+.f64 1 (-.f64 (*.f64 x x) (hypot.f64 1 x))) (+.f64 1 (-.f64 (*.f64 x x) (hypot.f64 1 x)))))) (+.f64 (-.f64 0 (*.f64 x x)) (hypot.f64 1 x)))
(*.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 x)) (-.f64 1 (*.f64 (-.f64 (+.f64 1 (*.f64 x x)) (hypot.f64 1 x)) (-.f64 (+.f64 1 (*.f64 x x)) (hypot.f64 1 x))))) (+.f64 (hypot.f64 1 x) (neg.f64 (*.f64 x x))))
(*.f64 (/.f64 (/.f64 (+.f64 1 (pow.f64 (hypot.f64 1 x) 3)) x) (-.f64 1 (*.f64 (-.f64 (fma.f64 x x 1) (hypot.f64 1 x)) (-.f64 (fma.f64 x x 1) (hypot.f64 1 x))))) (-.f64 (hypot.f64 1 x) (*.f64 x x)))
(*.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (hypot.f64 1 x) 3)) (pow.f64 x -1)) (+.f64 1 (pow.f64 (+.f64 1 (-.f64 (*.f64 x x) (hypot.f64 1 x))) 3))) (+.f64 1 (+.f64 (-.f64 (*.f64 (+.f64 1 (-.f64 (*.f64 x x) (hypot.f64 1 x))) (+.f64 1 (-.f64 (*.f64 x x) (hypot.f64 1 x)))) (+.f64 1 (*.f64 x x))) (hypot.f64 1 x))))
(*.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 x)) (+.f64 1 (pow.f64 (-.f64 (+.f64 1 (*.f64 x x)) (hypot.f64 1 x)) 3))) (+.f64 1 (-.f64 (*.f64 (-.f64 (+.f64 1 (*.f64 x x)) (hypot.f64 1 x)) (-.f64 (+.f64 1 (*.f64 x x)) (hypot.f64 1 x))) (-.f64 (+.f64 1 (*.f64 x x)) (hypot.f64 1 x)))))
(*.f64 (/.f64 (/.f64 (+.f64 1 (pow.f64 (hypot.f64 1 x) 3)) x) (+.f64 1 (pow.f64 (-.f64 (fma.f64 x x 1) (hypot.f64 1 x)) 3))) (+.f64 (+.f64 1 (hypot.f64 1 x)) (fma.f64 (-.f64 (fma.f64 x x 1) (hypot.f64 1 x)) (-.f64 (fma.f64 x x 1) (hypot.f64 1 x)) (neg.f64 (fma.f64 x x 1)))))
(pow.f64 (/.f64 (+.f64 1 (hypot.f64 1 x)) x) 1)
(*.f64 (+.f64 1 (hypot.f64 1 x)) (/.f64 1 x))
(/.f64 (+.f64 1 (hypot.f64 1 x)) x)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 (hypot.f64 1 x)) x)) 2)
(*.f64 (+.f64 1 (hypot.f64 1 x)) (/.f64 1 x))
(/.f64 (+.f64 1 (hypot.f64 1 x)) x)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (hypot.f64 1 x)) x)) 3)
(*.f64 (+.f64 1 (hypot.f64 1 x)) (/.f64 1 x))
(/.f64 (+.f64 1 (hypot.f64 1 x)) x)
(pow.f64 (pow.f64 (/.f64 (+.f64 1 (hypot.f64 1 x)) x) 3) 1/3)
(*.f64 (+.f64 1 (hypot.f64 1 x)) (/.f64 1 x))
(/.f64 (+.f64 1 (hypot.f64 1 x)) x)
(pow.f64 (/.f64 x (+.f64 1 (hypot.f64 1 x))) -1)
(*.f64 (+.f64 1 (hypot.f64 1 x)) (/.f64 1 x))
(/.f64 (+.f64 1 (hypot.f64 1 x)) x)
(neg.f64 (/.f64 (+.f64 1 (hypot.f64 1 x)) (neg.f64 x)))
(*.f64 (+.f64 1 (hypot.f64 1 x)) (/.f64 1 x))
(/.f64 (+.f64 1 (hypot.f64 1 x)) x)
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 (hypot.f64 1 x)) x) 2))
(fabs.f64 (/.f64 (+.f64 1 (hypot.f64 1 x)) x))
(log.f64 (exp.f64 (/.f64 (+.f64 1 (hypot.f64 1 x)) x)))
(*.f64 (+.f64 1 (hypot.f64 1 x)) (/.f64 1 x))
(/.f64 (+.f64 1 (hypot.f64 1 x)) x)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 (hypot.f64 1 x)) x))))
(*.f64 (+.f64 1 (hypot.f64 1 x)) (/.f64 1 x))
(/.f64 (+.f64 1 (hypot.f64 1 x)) x)
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (hypot.f64 1 x)) x) 3))
(*.f64 (+.f64 1 (hypot.f64 1 x)) (/.f64 1 x))
(/.f64 (+.f64 1 (hypot.f64 1 x)) x)
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (hypot.f64 1 x)) 3) (pow.f64 x 3)))
(*.f64 (+.f64 1 (hypot.f64 1 x)) (/.f64 1 x))
(/.f64 (+.f64 1 (hypot.f64 1 x)) x)
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 (hypot.f64 1 x)) x)))
(*.f64 (+.f64 1 (hypot.f64 1 x)) (/.f64 1 x))
(/.f64 (+.f64 1 (hypot.f64 1 x)) x)
(exp.f64 (-.f64 (log1p.f64 (hypot.f64 1 x)) (log.f64 x)))
(/.f64 (exp.f64 (log1p.f64 (hypot.f64 1 x))) x)
(exp.f64 (*.f64 (-.f64 (log1p.f64 (hypot.f64 1 x)) (log.f64 x)) 1))
(exp.f64 (-.f64 (log1p.f64 (hypot.f64 1 x)) (log.f64 x)))
(/.f64 (exp.f64 (log1p.f64 (hypot.f64 1 x))) x)
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 (hypot.f64 1 x)) x)))
(*.f64 (+.f64 1 (hypot.f64 1 x)) (/.f64 1 x))
(/.f64 (+.f64 1 (hypot.f64 1 x)) x)

localize2.0ms (0%)

Compiler

Compiled 4 to 2 computations (50% saved)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓3.2b
(log1p.f64 (-.f64 (/.f64 -1/2 x) 1))
Compiler

Compiled 18 to 14 computations (22.2% saved)

series17.0ms (0.2%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
6.0ms
x
@0
(log1p.f64 (-.f64 (/.f64 -1/2 x) 1))
6.0ms
x
@-inf
(log1p.f64 (-.f64 (/.f64 -1/2 x) 1))
5.0ms
x
@inf
(log1p.f64 (-.f64 (/.f64 -1/2 x) 1))

rewrite60.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
1762×add-sqr-sqrt
1734×*-un-lft-identity
1626×add-cube-cbrt
1612×add-cbrt-cube
176×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0917
119011
2228111
Stop Event
1×node limit
Counts
1 → 24
Calls
Call 1
Inputs
(log1p.f64 (-.f64 (/.f64 -1/2 x) 1))
Outputs
((#(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 -1/2) (log.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 -1/2 x)) 2)) (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 0 (log.f64 (*.f64 x -2)))))) (#(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 (exp.f64 (log1p.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 (log.f64 (/.f64 -1/2 x)) 1)))) (#(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 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 log.f64 (/.f64 -1/2 x))))) (#(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 exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 -1/2 x))) 1))))))

simplify51.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
994×associate-*r*
816×*-commutative
804×+-commutative
794×associate-*l*
720×associate-+r+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
067492
1122472
2471472
33306472
46071472
Stop Event
1×node limit
Counts
36 → 29
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 0 (log.f64 (/.f64 -1/2 x)))
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 -1/2 x)) 2)) (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 0 (log.f64 (*.f64 x -2)))
(-.f64 (log.f64 -1/2) (log.f64 x))
(-.f64 (log.f64 1/2) (log.f64 (neg.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 -1/2 x)))) 1)
(*.f64 1 (log.f64 (/.f64 -1/2 x)))
(*.f64 (log.f64 (/.f64 -1/2 x)) 1)
(*.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))))
(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))
(log.f64 (/.f64 -1/2 x))
(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))))
(exp.f64 (*.f64 (log.f64 (log.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 0 (log.f64 (/.f64 -1/2 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 (pow.f64 (cbrt.f64 (/.f64 -1/2 x)) 2)) (log.f64 (cbrt.f64 (/.f64 -1/2 x))))
(*.f64 3 (log.f64 (cbrt.f64 (/.f64 -1/2 x))))
(*.f64 (log.f64 (cbrt.f64 (/.f64 -1/2 x))) 3)
(+.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 0 (log.f64 (*.f64 x -2)))
(neg.f64 (log.f64 (*.f64 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 (exp.f64 (log1p.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 (log.f64 (/.f64 -1/2 x)) 1)
(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))
(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))
(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))
(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 -1/2 x))) 1))
(log.f64 (/.f64 -1/2 x))

localize14.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(log1p.f64 (+.f64 x (+.f64 (/.f64 1/2 x) (+.f64 x -1))))
✓0.0b
(+.f64 (/.f64 1/2 x) (+.f64 x -1))
✓0.0b
(+.f64 x (+.f64 (/.f64 1/2 x) (+.f64 x -1)))
Compiler

Compiled 36 to 25 computations (30.6% saved)

series2.0ms (0%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
0.0ms
x
@-inf
(log1p.f64 (+.f64 x (+.f64 (/.f64 1/2 x) (+.f64 x -1))))
0.0ms
x
@0
(log1p.f64 (+.f64 x (+.f64 (/.f64 1/2 x) (+.f64 x -1))))
0.0ms
x
@inf
(log1p.f64 (+.f64 x (+.f64 (/.f64 1/2 x) (+.f64 x -1))))
0.0ms
x
@0
(+.f64 x (+.f64 (/.f64 1/2 x) (+.f64 x -1)))
0.0ms
x
@inf
(+.f64 x (+.f64 (/.f64 1/2 x) (+.f64 x -1)))

rewrite96.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
1688×distribute-lft-in
814×associate-/r*
416×associate-/r/
392×associate-/l*
324×associate-+l+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01173
125673
2365773
Stop Event
1×node limit
Counts
3 → 184
Calls
Call 1
Inputs
(+.f64 x (+.f64 (/.f64 1/2 x) (+.f64 x -1)))
(+.f64 (/.f64 1/2 x) (+.f64 x -1))
(log1p.f64 (+.f64 x (+.f64 (/.f64 1/2 x) (+.f64 x -1))))
Outputs
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3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (+.f64 0 (+.f64 x (/.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x (+.f64 (/.f64 1/2 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 x (+.f64 (/.f64 1/2 x) -1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (+.f64 (/.f64 1/2 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 (/.f64 1 x) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1/2 x) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 x -1) (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 1/2 x)) (sqrt.f64 (/.f64 1/2 x)) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 (+.f64 x -1)) (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 1/4 (*.f64 x x))) (cbrt.f64 (/.f64 1/2 x)) (+.f64 x 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simplify101.0ms (1%)

Algorithm
1×egg-herbie
Rules
944×associate-*r*
786×distribute-lft-in
720×associate-*l*
668×distribute-rgt-in
664×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
061012158
1190211824
Stop Event
1×node limit
Counts
220 → 360
Calls
Call 1
Inputs
(/.f64 1/2 x)
(-.f64 (*.f64 1/2 (/.f64 1 x)) 1)
(-.f64 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))) 1)
(-.f64 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))) 1)
(*.f64 2 x)
(-.f64 (*.f64 2 x) 1)
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 2 x)) 1)
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 2 x)) 1)
(*.f64 2 x)
(-.f64 (*.f64 2 x) 1)
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 2 x)) 1)
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 2 x)) 1)
(/.f64 1/2 x)
(-.f64 (*.f64 1/2 (/.f64 1 x)) 1)
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) x) 1)
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) x) 1)
x
(-.f64 x 1)
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) x) 1)
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) x) 1)
x
(-.f64 x 1)
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) x) 1)
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) x) 1)
(+.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 (+.f64 x 1) (-.f64 1 (+.f64 x (+.f64 (/.f64 1/2 x) -1))))
(-.f64 (+.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))) 0) 1)
(-.f64 (exp.f64 (log1p.f64 (+.f64 x -1))) (-.f64 1 (+.f64 x (/.f64 1/2 x))))
(-.f64 (exp.f64 (log.f64 (+.f64 0 (+.f64 x (/.f64 1/2 x))))) (-.f64 1 x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1/2 x))) (-.f64 1 (+.f64 x (+.f64 x -1))))
(-.f64 (/.f64 x (/.f64 (-.f64 (-.f64 x (/.f64 1/2 x)) (+.f64 x -1)) x)) (/.f64 (pow.f64 (+.f64 x (+.f64 (/.f64 1/2 x) -1)) 2) (-.f64 (-.f64 x (/.f64 1/2 x)) (+.f64 x -1))))
(-.f64 (/.f64 (/.f64 1/4 (*.f64 x x)) (+.f64 (/.f64 1/2 x) (-.f64 1 x))) (-.f64 (/.f64 (pow.f64 (+.f64 x -1) 2) (+.f64 (/.f64 1/2 x) (-.f64 1 x))) x))
(-.f64 (/.f64 x (/.f64 (+.f64 x 1) x)) (-.f64 (/.f64 1 (+.f64 x 1)) (+.f64 x (/.f64 1/2 x))))
(-.f64 (+.f64 x (exp.f64 (log.f64 (+.f64 0 (+.f64 x (/.f64 1/2 x)))))) 1)
(-.f64 (+.f64 x (/.f64 (/.f64 1/4 (*.f64 x x)) (+.f64 (/.f64 1/2 x) (-.f64 1 x)))) (/.f64 (pow.f64 (+.f64 x -1) 2) (+.f64 (/.f64 1/2 x) (-.f64 1 x))))
(-.f64 (+.f64 (+.f64 x (/.f64 1/2 x)) (exp.f64 (log1p.f64 (+.f64 x -1)))) 1)
(-.f64 (+.f64 (+.f64 x (/.f64 1/2 x)) (/.f64 x (/.f64 (+.f64 x 1) x))) (/.f64 1 (+.f64 x 1)))
(-.f64 (+.f64 (+.f64 x (+.f64 x -1)) (exp.f64 (log1p.f64 (/.f64 1/2 x)))) 1)
(-.f64 (+.f64 (*.f64 (+.f64 x (/.f64 1/2 x)) 1) (exp.f64 (log1p.f64 (+.f64 x -1)))) 1)
(-.f64 (+.f64 (*.f64 (+.f64 x (/.f64 1/2 x)) 1) (/.f64 x (/.f64 (+.f64 x 1) x))) (/.f64 1 (+.f64 x 1)))
(*.f64 (+.f64 -1 (+.f64 x (+.f64 x (/.f64 1/2 x)))) 1)
(*.f64 1 (+.f64 -1 (+.f64 x (+.f64 x (/.f64 1/2 x)))))
(*.f64 (sqrt.f64 (+.f64 -1 (+.f64 x (+.f64 x (/.f64 1/2 x))))) (sqrt.f64 (+.f64 -1 (+.f64 x (+.f64 x (/.f64 1/2 x))))))
(*.f64 (cbrt.f64 (+.f64 -1 (+.f64 x (+.f64 x (/.f64 1/2 x))))) (pow.f64 (cbrt.f64 (+.f64 -1 (+.f64 x (+.f64 x (/.f64 1/2 x))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (+.f64 x (+.f64 x (/.f64 1/2 x))))) 2) (cbrt.f64 (+.f64 -1 (+.f64 x (+.f64 x (/.f64 1/2 x))))))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x (+.f64 (/.f64 1/2 x) -1)) 2)) (/.f64 1 (-.f64 (-.f64 x (/.f64 1/2 x)) (+.f64 x -1))))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (+.f64 (/.f64 1/2 x) -1)) 3)) (/.f64 1 (fma.f64 x x (*.f64 (+.f64 x (+.f64 (/.f64 1/2 x) -1)) (+.f64 (/.f64 1/2 x) (-.f64 (+.f64 x -1) x))))))
(*.f64 (/.f64 1 (-.f64 (-.f64 x (/.f64 1/2 x)) (+.f64 x -1))) (-.f64 (*.f64 x x) (pow.f64 (+.f64 x (+.f64 (/.f64 1/2 x) -1)) 2)))
(*.f64 (/.f64 1 (fma.f64 x x (*.f64 (+.f64 x (+.f64 (/.f64 1/2 x) -1)) (+.f64 (/.f64 1/2 x) (-.f64 (+.f64 x -1) x))))) (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (+.f64 (/.f64 1/2 x) -1)) 3)))
(*.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x (+.f64 (/.f64 1/2 x) -1)) 2)) (-.f64 (*.f64 x x) (pow.f64 (+.f64 x (+.f64 (/.f64 1/2 x) -1)) 2))) (+.f64 -1 (+.f64 x (+.f64 x (/.f64 1/2 x)))))
(*.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x (+.f64 (/.f64 1/2 x) -1)) 2)) (-.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (+.f64 (/.f64 1/2 x) -1)) 3))) (+.f64 (*.f64 x x) (*.f64 (+.f64 x (+.f64 (/.f64 1/2 x) -1)) (+.f64 -1 (+.f64 x (+.f64 x (/.f64 1/2 x)))))))
(*.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (+.f64 (/.f64 1/2 x) -1)) 3)) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 (+.f64 x (+.f64 (/.f64 1/2 x) -1)) (+.f64 (/.f64 1/2 x) (-.f64 (+.f64 x -1) x))) (*.f64 (+.f64 x (+.f64 (/.f64 1/2 x) -1)) (+.f64 (/.f64 1/2 x) (-.f64 (+.f64 x -1) x)))))) (-.f64 (*.f64 x x) (*.f64 (+.f64 x (+.f64 (/.f64 1/2 x) -1)) (+.f64 (/.f64 1/2 x) (-.f64 (+.f64 x -1) x)))))
(*.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (+.f64 (/.f64 1/2 x) -1)) 3)) (+.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 (+.f64 x (+.f64 (/.f64 1/2 x) -1)) (+.f64 (/.f64 1/2 x) (-.f64 (+.f64 x -1) x))) 3))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 (*.f64 (+.f64 x (+.f64 (/.f64 1/2 x) -1)) (+.f64 (/.f64 1/2 x) (-.f64 (+.f64 x -1) x))) (*.f64 (+.f64 x (+.f64 (/.f64 1/2 x) -1)) (+.f64 (/.f64 1/2 x) (-.f64 (+.f64 x -1) x)))) (*.f64 (*.f64 x x) (*.f64 (+.f64 x (+.f64 (/.f64 1/2 x) -1)) (+.f64 (/.f64 1/2 x) (-.f64 (+.f64 x -1) x)))))))
(/.f64 (+.f64 -1 (+.f64 x (+.f64 x (/.f64 1/2 x)))) (/.f64 (-.f64 (-.f64 x (/.f64 1/2 x)) (+.f64 x -1)) (-.f64 (-.f64 x (/.f64 1/2 x)) (+.f64 x -1))))
(/.f64 1 (/.f64 1 (+.f64 -1 (+.f64 x (+.f64 x (/.f64 1/2 x))))))
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(/.f64 (-.f64 (*.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/4 (*.f64 x x))) (*.f64 (pow.f64 (+.f64 x -1) 2) (pow.f64 (+.f64 x -1) 2))) (*.f64 (+.f64 (/.f64 1/2 x) (-.f64 1 x)) (+.f64 (/.f64 1/4 (*.f64 x x)) (pow.f64 (+.f64 x -1) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x (/.f64 1/2 x)) 3)) (+.f64 (*.f64 (+.f64 x (/.f64 1/2 x)) (+.f64 x (/.f64 1/2 x))) (-.f64 1 (*.f64 (+.f64 x (/.f64 1/2 x)) -1))))
(/.f64 (+.f64 (pow.f64 (/.f64 1/8 (pow.f64 x 3)) 3) (pow.f64 (pow.f64 (+.f64 x -1) 3) 3)) (*.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (*.f64 (+.f64 x -1) (+.f64 x (-.f64 -1 (/.f64 1/2 x))))) (+.f64 (*.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/8 (pow.f64 x 3))) (-.f64 (*.f64 (pow.f64 (+.f64 x -1) 3) (pow.f64 (+.f64 x -1) 3)) (*.f64 (/.f64 1/8 (pow.f64 x 3)) (pow.f64 (+.f64 x -1) 3))))))
(/.f64 (-.f64 (pow.f64 (/.f64 1/4 (*.f64 x x)) 3) (pow.f64 (pow.f64 (+.f64 x -1) 2) 3)) (*.f64 (+.f64 (/.f64 1/2 x) (-.f64 1 x)) (+.f64 (*.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/4 (*.f64 x x))) (+.f64 (*.f64 (pow.f64 (+.f64 x -1) 2) (pow.f64 (+.f64 x -1) 2)) (*.f64 (/.f64 1/4 (*.f64 x x)) (pow.f64 (+.f64 x -1) 2))))))
(/.f64 (+.f64 (+.f64 (*.f64 1/2 x) 1/2) (*.f64 x (fma.f64 x x -1))) (+.f64 (*.f64 x x) x))
(/.f64 (+.f64 (*.f64 1/2 (fma.f64 x x (+.f64 x 1))) (*.f64 x (+.f64 -1 (pow.f64 x 3)))) (*.f64 x (fma.f64 x x (+.f64 x 1))))
(/.f64 (+.f64 (+.f64 x 1) (*.f64 (*.f64 x 2) (fma.f64 x x -1))) (*.f64 (*.f64 x 2) (+.f64 x 1)))
(/.f64 (+.f64 (fma.f64 x x (+.f64 x 1)) (*.f64 (*.f64 x 2) (+.f64 -1 (pow.f64 x 3)))) (*.f64 (*.f64 x 2) (fma.f64 x x (+.f64 x 1))))
(/.f64 (+.f64 (+.f64 (*.f64 -1/2 x) -1/2) (*.f64 (neg.f64 x) (fma.f64 x x -1))) (*.f64 (neg.f64 x) (+.f64 x 1)))
(/.f64 (+.f64 (*.f64 -1/2 (fma.f64 x x (+.f64 x 1))) (*.f64 (neg.f64 x) (+.f64 -1 (pow.f64 x 3)))) (*.f64 (neg.f64 x) (fma.f64 x x (+.f64 x 1))))
(/.f64 (+.f64 (*.f64 (fma.f64 x x -1) x) (*.f64 (+.f64 x 1) 1/2)) (*.f64 (+.f64 x 1) x))
(/.f64 (+.f64 (*.f64 (fma.f64 x x -1) (*.f64 x 2)) (*.f64 (+.f64 x 1) 1)) (*.f64 (+.f64 x 1) (*.f64 x 2)))
(/.f64 (+.f64 (*.f64 (fma.f64 x x -1) (neg.f64 x)) (*.f64 (+.f64 x 1) -1/2)) (*.f64 (+.f64 x 1) (neg.f64 x)))
(/.f64 (+.f64 (*.f64 (+.f64 -1 (pow.f64 x 3)) x) (*.f64 (fma.f64 x x (+.f64 x 1)) 1/2)) (*.f64 (fma.f64 x x (+.f64 x 1)) x))
(/.f64 (+.f64 (*.f64 (+.f64 -1 (pow.f64 x 3)) (*.f64 x 2)) (*.f64 (fma.f64 x x (+.f64 x 1)) 1)) (*.f64 (fma.f64 x x (+.f64 x 1)) (*.f64 x 2)))
(/.f64 (+.f64 (*.f64 (+.f64 -1 (pow.f64 x 3)) (neg.f64 x)) (*.f64 (fma.f64 x x (+.f64 x 1)) -1/2)) (*.f64 (fma.f64 x x (+.f64 x 1)) (neg.f64 x)))
(/.f64 (neg.f64 (-.f64 (/.f64 1/4 (*.f64 x x)) (pow.f64 (+.f64 x -1) 2))) (neg.f64 (+.f64 (/.f64 1/2 x) (-.f64 1 x))))
(/.f64 (neg.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (pow.f64 (+.f64 x -1) 3))) (neg.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (*.f64 (+.f64 x -1) (+.f64 x (-.f64 -1 (/.f64 1/2 x)))))))
(/.f64 (/.f64 (-.f64 (/.f64 1/4 (*.f64 x x)) (pow.f64 (+.f64 x -1) 2)) 1) (+.f64 (/.f64 1/2 x) (-.f64 1 x)))
(/.f64 (/.f64 (-.f64 (/.f64 1/4 (*.f64 x x)) (pow.f64 (+.f64 x -1) 2)) (sqrt.f64 (+.f64 (/.f64 1/2 x) (-.f64 1 x)))) (sqrt.f64 (+.f64 (/.f64 1/2 x) (-.f64 1 x))))
(/.f64 (/.f64 (-.f64 (/.f64 1/4 (*.f64 x x)) (pow.f64 (+.f64 x -1) 2)) (*.f64 (cbrt.f64 (+.f64 (/.f64 1/2 x) (-.f64 1 x))) (cbrt.f64 (+.f64 (/.f64 1/2 x) (-.f64 1 x))))) (cbrt.f64 (+.f64 (/.f64 1/2 x) (-.f64 1 x))))
(/.f64 (/.f64 (-.f64 (/.f64 1/4 (*.f64 x x)) (pow.f64 (+.f64 x -1) 2)) (+.f64 (sqrt.f64 (/.f64 1/2 x)) (sqrt.f64 (+.f64 x -1)))) (-.f64 (sqrt.f64 (/.f64 1/2 x)) (sqrt.f64 (+.f64 x -1))))
(/.f64 (/.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (pow.f64 (+.f64 x -1) 3)) 1) (+.f64 (/.f64 1/4 (*.f64 x x)) (*.f64 (+.f64 x -1) (+.f64 x (-.f64 -1 (/.f64 1/2 x))))))
(/.f64 (/.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (pow.f64 (+.f64 x -1) 3)) (sqrt.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (*.f64 (+.f64 x -1) (+.f64 x (-.f64 -1 (/.f64 1/2 x))))))) (sqrt.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (*.f64 (+.f64 x -1) (+.f64 x (-.f64 -1 (/.f64 1/2 x)))))))
(/.f64 (/.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (pow.f64 (+.f64 x -1) 3)) (*.f64 (cbrt.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (*.f64 (+.f64 x -1) (+.f64 x (-.f64 -1 (/.f64 1/2 x)))))) (cbrt.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (*.f64 (+.f64 x -1) (+.f64 x (-.f64 -1 (/.f64 1/2 x)))))))) (cbrt.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (*.f64 (+.f64 x -1) (+.f64 x (-.f64 -1 (/.f64 1/2 x)))))))
(/.f64 (/.f64 (+.f64 (+.f64 (*.f64 1/2 x) 1/2) (*.f64 x (fma.f64 x x -1))) x) (+.f64 x 1))
(/.f64 (/.f64 (+.f64 (*.f64 1/2 (fma.f64 x x (+.f64 x 1))) (*.f64 x (+.f64 -1 (pow.f64 x 3)))) x) (fma.f64 x x (+.f64 x 1)))
(/.f64 (/.f64 (+.f64 (+.f64 x 1) (*.f64 (*.f64 x 2) (fma.f64 x x -1))) (*.f64 x 2)) (+.f64 x 1))
(/.f64 (/.f64 (+.f64 (fma.f64 x x (+.f64 x 1)) (*.f64 (*.f64 x 2) (+.f64 -1 (pow.f64 x 3)))) (*.f64 x 2)) (fma.f64 x x (+.f64 x 1)))
(/.f64 (/.f64 (+.f64 (+.f64 (*.f64 -1/2 x) -1/2) (*.f64 (neg.f64 x) (fma.f64 x x -1))) (neg.f64 x)) (+.f64 x 1))
(/.f64 (/.f64 (+.f64 (*.f64 -1/2 (fma.f64 x x (+.f64 x 1))) (*.f64 (neg.f64 x) (+.f64 -1 (pow.f64 x 3)))) (neg.f64 x)) (fma.f64 x x (+.f64 x 1)))
(/.f64 (/.f64 (+.f64 (*.f64 (fma.f64 x x -1) x) (*.f64 (+.f64 x 1) 1/2)) (+.f64 x 1)) x)
(/.f64 (/.f64 (+.f64 (*.f64 (fma.f64 x x -1) (*.f64 x 2)) (*.f64 (+.f64 x 1) 1)) (+.f64 x 1)) (*.f64 x 2))
(/.f64 (/.f64 (+.f64 (*.f64 (fma.f64 x x -1) (neg.f64 x)) (*.f64 (+.f64 x 1) -1/2)) (+.f64 x 1)) (neg.f64 x))
(/.f64 (/.f64 (+.f64 (*.f64 (+.f64 -1 (pow.f64 x 3)) x) (*.f64 (fma.f64 x x (+.f64 x 1)) 1/2)) (fma.f64 x x (+.f64 x 1))) x)
(/.f64 (/.f64 (+.f64 (*.f64 (+.f64 -1 (pow.f64 x 3)) (*.f64 x 2)) (*.f64 (fma.f64 x x (+.f64 x 1)) 1)) (fma.f64 x x (+.f64 x 1))) (*.f64 x 2))
(/.f64 (/.f64 (+.f64 (*.f64 (+.f64 -1 (pow.f64 x 3)) (neg.f64 x)) (*.f64 (fma.f64 x x (+.f64 x 1)) -1/2)) (fma.f64 x x (+.f64 x 1))) (neg.f64 x))
(pow.f64 (+.f64 x (+.f64 (/.f64 1/2 x) -1)) 1)
(pow.f64 (sqrt.f64 (+.f64 x (+.f64 (/.f64 1/2 x) -1))) 2)
(pow.f64 (cbrt.f64 (+.f64 x (+.f64 (/.f64 1/2 x) -1))) 3)
(pow.f64 (pow.f64 (+.f64 x (+.f64 (/.f64 1/2 x) -1)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 x (+.f64 (/.f64 1/2 x) -1)) 2))
(log.f64 (exp.f64 (+.f64 x (+.f64 (/.f64 1/2 x) -1))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (+.f64 (/.f64 1/2 x) -1)))))
(cbrt.f64 (pow.f64 (+.f64 x (+.f64 (/.f64 1/2 x) -1)) 3))
(expm1.f64 (log.f64 (+.f64 0 (+.f64 x (/.f64 1/2 x)))))
(exp.f64 (log.f64 (+.f64 x (+.f64 (/.f64 1/2 x) -1))))
(exp.f64 (*.f64 (log.f64 (+.f64 x (+.f64 (/.f64 1/2 x) -1))) 1))
(log1p.f64 (expm1.f64 (+.f64 x (+.f64 (/.f64 1/2 x) -1))))
(fma.f64 1/2 (/.f64 1 x) (+.f64 x -1))
(fma.f64 1 (/.f64 1/2 x) (+.f64 x -1))
(fma.f64 1 (+.f64 x -1) (/.f64 1/2 x))
(fma.f64 (sqrt.f64 (/.f64 1/2 x)) (sqrt.f64 (/.f64 1/2 x)) (+.f64 x -1))
(fma.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 (+.f64 x -1)) (/.f64 1/2 x))
(fma.f64 (cbrt.f64 (/.f64 1/4 (*.f64 x x))) (cbrt.f64 (/.f64 1/2 x)) (+.f64 x -1))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) (cbrt.f64 (+.f64 x -1)) (/.f64 1/2 x))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))) 0)))) 1)
(*.f64 (log.f64 (+.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))) 0)) 1)
(*.f64 1 (log.f64 (+.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))) 0)))
(*.f64 (sqrt.f64 (log.f64 (+.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))) 0))) (sqrt.f64 (log.f64 (+.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))) 0))))
(*.f64 (cbrt.f64 (log.f64 (+.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))) 0))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))) 0))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))) 0))) 2) (cbrt.f64 (log.f64 (+.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))) 0))))
(pow.f64 (log.f64 (+.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))) 0)) 1)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))) 0))) 2)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))) 0))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))) 0)) 3) 1/3)
(sqrt.f64 (pow.f64 (log.f64 (+.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))) 0)) 2))
(log.f64 (+.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))) 0))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))) 0)) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))) 0))))
(exp.f64 (log.f64 (log.f64 (+.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))) 0))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))) 0))) 1))
Outputs
(/.f64 1/2 x)
(-.f64 (*.f64 1/2 (/.f64 1 x)) 1)
(+.f64 (/.f64 1/2 x) -1)
(-.f64 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))) 1)
(+.f64 (fma.f64 2 x (/.f64 1/2 x)) -1)
(+.f64 (/.f64 1/2 x) (fma.f64 2 x -1))
(-.f64 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))) 1)
(+.f64 (fma.f64 2 x (/.f64 1/2 x)) -1)
(+.f64 (/.f64 1/2 x) (fma.f64 2 x -1))
(*.f64 2 x)
(*.f64 x 2)
(+.f64 x x)
(-.f64 (*.f64 2 x) 1)
(fma.f64 2 x -1)
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 2 x)) 1)
(+.f64 (fma.f64 2 x (/.f64 1/2 x)) -1)
(+.f64 (/.f64 1/2 x) (fma.f64 2 x -1))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 2 x)) 1)
(+.f64 (fma.f64 2 x (/.f64 1/2 x)) -1)
(+.f64 (/.f64 1/2 x) (fma.f64 2 x -1))
(*.f64 2 x)
(*.f64 x 2)
(+.f64 x x)
(-.f64 (*.f64 2 x) 1)
(fma.f64 2 x -1)
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 2 x)) 1)
(+.f64 (fma.f64 2 x (/.f64 1/2 x)) -1)
(+.f64 (/.f64 1/2 x) (fma.f64 2 x -1))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 2 x)) 1)
(+.f64 (fma.f64 2 x (/.f64 1/2 x)) -1)
(+.f64 (/.f64 1/2 x) (fma.f64 2 x -1))
(/.f64 1/2 x)
(-.f64 (*.f64 1/2 (/.f64 1 x)) 1)
(+.f64 (/.f64 1/2 x) -1)
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) x) 1)
(+.f64 (/.f64 1/2 x) (+.f64 x -1))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) x) 1)
(+.f64 (/.f64 1/2 x) (+.f64 x -1))
x
(-.f64 x 1)
(+.f64 x -1)
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) x) 1)
(+.f64 (/.f64 1/2 x) (+.f64 x -1))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) x) 1)
(+.f64 (/.f64 1/2 x) (+.f64 x -1))
x
(-.f64 x 1)
(+.f64 x -1)
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) x) 1)
(+.f64 (/.f64 1/2 x) (+.f64 x -1))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) x) 1)
(+.f64 (/.f64 1/2 x) (+.f64 x -1))
(+.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 (*.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 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))))))
(fma.f64 4 (*.f64 x x) (+.f64 (log.f64 1/2) (fma.f64 -8 (pow.f64 x 4) (-.f64 (*.f64 64/3 (pow.f64 x 6)) (log.f64 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 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 (log.f64 x) (+.f64 (+.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x))) (/.f64 -1/32 (pow.f64 x 4))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (+.f64 (*.f64 1/192 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (*.f64 1/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (+.f64 (/.f64 1/192 (pow.f64 x 6)) (/.f64 1/4 (*.f64 x x))))) (/.f64 1/32 (pow.f64 x 4)))
(+.f64 (+.f64 (+.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x))) (/.f64 1/192 (pow.f64 x 6))) (+.f64 (log.f64 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)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (log.f64 -2)))
(+.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -2)) (/.f64 1/4 (*.f64 x x)))
(+.f64 (-.f64 (log.f64 -2) (log.f64 (/.f64 -1 x))) (/.f64 1/4 (*.f64 x x)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 1/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -2)) (/.f64 1/4 (*.f64 x x))) (/.f64 1/32 (pow.f64 x 4)))
(+.f64 (-.f64 (log.f64 -2) (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 -1/32 (pow.f64 x 4))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -2) (+.f64 (*.f64 1/192 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (*.f64 1/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -2)) (+.f64 (/.f64 1/192 (pow.f64 x 6)) (/.f64 1/4 (*.f64 x x)))) (/.f64 1/32 (pow.f64 x 4)))
(+.f64 (-.f64 (log.f64 -2) (log.f64 (/.f64 -1 x))) (+.f64 (+.f64 (/.f64 1/192 (pow.f64 x 6)) (/.f64 1/4 (*.f64 x x))) (/.f64 -1/32 (pow.f64 x 4))))
(-.f64 (+.f64 x 1) (-.f64 1 (+.f64 x (+.f64 (/.f64 1/2 x) -1))))
(+.f64 (fma.f64 2 x (/.f64 1/2 x)) -1)
(+.f64 (/.f64 1/2 x) (fma.f64 2 x -1))
(-.f64 (+.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))) 0) 1)
(+.f64 (fma.f64 2 x (/.f64 1/2 x)) -1)
(+.f64 (/.f64 1/2 x) (fma.f64 2 x -1))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x -1))) (-.f64 1 (+.f64 x (/.f64 1/2 x))))
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(/.f64 (/.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (pow.f64 (+.f64 x -1) 3)) (*.f64 (cbrt.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (*.f64 (+.f64 x -1) (+.f64 x (-.f64 -1 (/.f64 1/2 x)))))) (cbrt.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (*.f64 (+.f64 x -1) (+.f64 x (-.f64 -1 (/.f64 1/2 x)))))))) (cbrt.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (*.f64 (+.f64 x -1) (+.f64 x (-.f64 -1 (/.f64 1/2 x)))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x -1) 3) (/.f64 1/8 (pow.f64 x 3))) (*.f64 (cbrt.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (*.f64 (+.f64 x -1) (+.f64 x (-.f64 -1 (/.f64 1/2 x)))))) (cbrt.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (*.f64 (+.f64 x -1) (+.f64 x (-.f64 -1 (/.f64 1/2 x)))))))) (cbrt.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (*.f64 (+.f64 x -1) (+.f64 x (-.f64 -1 (/.f64 1/2 x)))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x -1) 3) (/.f64 1/8 (pow.f64 x 3))) (cbrt.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (*.f64 (+.f64 x -1) (+.f64 (+.f64 x -1) (/.f64 -1/2 x)))))) (*.f64 (cbrt.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (*.f64 (+.f64 x -1) (+.f64 (+.f64 x -1) (/.f64 -1/2 x))))) (cbrt.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (*.f64 (+.f64 x -1) (+.f64 (+.f64 x -1) (/.f64 -1/2 x)))))))
(/.f64 (/.f64 (+.f64 (+.f64 (*.f64 1/2 x) 1/2) (*.f64 x (fma.f64 x x -1))) x) (+.f64 x 1))
(/.f64 (+.f64 (fma.f64 1/2 x 1/2) (*.f64 x (fma.f64 x x -1))) (fma.f64 x x x))
(/.f64 (fma.f64 (fma.f64 x x -1) x (fma.f64 1/2 x 1/2)) (fma.f64 x x x))
(/.f64 (/.f64 (+.f64 (*.f64 1/2 (fma.f64 x x (+.f64 x 1))) (*.f64 x (+.f64 -1 (pow.f64 x 3)))) x) (fma.f64 x x (+.f64 x 1)))
(/.f64 (fma.f64 1/2 (fma.f64 x x (+.f64 x 1)) (+.f64 (neg.f64 x) (pow.f64 x 4))) (*.f64 x (fma.f64 x x (+.f64 x 1))))
(/.f64 (fma.f64 1/2 (+.f64 (fma.f64 x x x) 1) (+.f64 (pow.f64 x 4) (neg.f64 x))) (+.f64 (pow.f64 x 3) (fma.f64 x x x)))
(/.f64 (/.f64 (+.f64 (+.f64 x 1) (*.f64 (*.f64 x 2) (fma.f64 x x -1))) (*.f64 x 2)) (+.f64 x 1))
(/.f64 (fma.f64 (fma.f64 x x -1) (*.f64 x 2) (+.f64 x 1)) (*.f64 (fma.f64 x x x) 2))
(/.f64 (fma.f64 (fma.f64 x x -1) (+.f64 x x) (+.f64 x 1)) (*.f64 2 (fma.f64 x x x)))
(/.f64 (/.f64 (+.f64 (fma.f64 x x (+.f64 x 1)) (*.f64 (*.f64 x 2) (+.f64 -1 (pow.f64 x 3)))) (*.f64 x 2)) (fma.f64 x x (+.f64 x 1)))
(/.f64 (/.f64 (fma.f64 (+.f64 -1 (pow.f64 x 3)) (*.f64 x 2) (fma.f64 x x (+.f64 x 1))) (*.f64 x 2)) (fma.f64 x x (+.f64 x 1)))
(/.f64 (fma.f64 (+.f64 -1 (pow.f64 x 3)) (+.f64 x x) (+.f64 (fma.f64 x x x) 1)) (*.f64 x (*.f64 2 (+.f64 (fma.f64 x x x) 1))))
(/.f64 (/.f64 (+.f64 (+.f64 (*.f64 -1/2 x) -1/2) (*.f64 (neg.f64 x) (fma.f64 x x -1))) (neg.f64 x)) (+.f64 x 1))
(/.f64 (+.f64 (fma.f64 -1/2 x -1/2) (*.f64 (fma.f64 x x -1) (neg.f64 x))) (neg.f64 (fma.f64 x x x)))
(/.f64 (-.f64 (fma.f64 -1/2 x -1/2) (*.f64 x (fma.f64 x x -1))) (neg.f64 (fma.f64 x x x)))
(/.f64 (/.f64 (+.f64 (*.f64 -1/2 (fma.f64 x x (+.f64 x 1))) (*.f64 (neg.f64 x) (+.f64 -1 (pow.f64 x 3)))) (neg.f64 x)) (fma.f64 x x (+.f64 x 1)))
(/.f64 (fma.f64 -1/2 (fma.f64 x x (+.f64 x 1)) (neg.f64 (+.f64 (neg.f64 x) (pow.f64 x 4)))) (*.f64 (fma.f64 x x (+.f64 x 1)) (neg.f64 x)))
(/.f64 (fma.f64 -1/2 (+.f64 (fma.f64 x x x) 1) (+.f64 x (neg.f64 (pow.f64 x 4)))) (*.f64 (+.f64 (fma.f64 x x x) 1) (neg.f64 x)))
(/.f64 (/.f64 (+.f64 (*.f64 (fma.f64 x x -1) x) (*.f64 (+.f64 x 1) 1/2)) (+.f64 x 1)) x)
(/.f64 (+.f64 (fma.f64 1/2 x 1/2) (*.f64 x (fma.f64 x x -1))) (fma.f64 x x x))
(/.f64 (fma.f64 (fma.f64 x x -1) x (fma.f64 1/2 x 1/2)) (fma.f64 x x x))
(/.f64 (/.f64 (+.f64 (*.f64 (fma.f64 x x -1) (*.f64 x 2)) (*.f64 (+.f64 x 1) 1)) (+.f64 x 1)) (*.f64 x 2))
(/.f64 (fma.f64 (fma.f64 x x -1) (*.f64 x 2) (+.f64 x 1)) (*.f64 (fma.f64 x x x) 2))
(/.f64 (fma.f64 (fma.f64 x x -1) (+.f64 x x) (+.f64 x 1)) (*.f64 2 (fma.f64 x x x)))
(/.f64 (/.f64 (+.f64 (*.f64 (fma.f64 x x -1) (neg.f64 x)) (*.f64 (+.f64 x 1) -1/2)) (+.f64 x 1)) (neg.f64 x))
(/.f64 (+.f64 (fma.f64 -1/2 x -1/2) (*.f64 (fma.f64 x x -1) (neg.f64 x))) (neg.f64 (fma.f64 x x x)))
(/.f64 (-.f64 (fma.f64 -1/2 x -1/2) (*.f64 x (fma.f64 x x -1))) (neg.f64 (fma.f64 x x x)))
(/.f64 (/.f64 (+.f64 (*.f64 (+.f64 -1 (pow.f64 x 3)) x) (*.f64 (fma.f64 x x (+.f64 x 1)) 1/2)) (fma.f64 x x (+.f64 x 1))) x)
(/.f64 (fma.f64 1/2 (fma.f64 x x (+.f64 x 1)) (+.f64 (neg.f64 x) (pow.f64 x 4))) (*.f64 x (fma.f64 x x (+.f64 x 1))))
(/.f64 (fma.f64 1/2 (+.f64 (fma.f64 x x x) 1) (+.f64 (pow.f64 x 4) (neg.f64 x))) (+.f64 (pow.f64 x 3) (fma.f64 x x x)))
(/.f64 (/.f64 (+.f64 (*.f64 (+.f64 -1 (pow.f64 x 3)) (*.f64 x 2)) (*.f64 (fma.f64 x x (+.f64 x 1)) 1)) (fma.f64 x x (+.f64 x 1))) (*.f64 x 2))
(/.f64 (/.f64 (fma.f64 (+.f64 -1 (pow.f64 x 3)) (*.f64 x 2) (fma.f64 x x (+.f64 x 1))) (*.f64 x 2)) (fma.f64 x x (+.f64 x 1)))
(/.f64 (fma.f64 (+.f64 -1 (pow.f64 x 3)) (+.f64 x x) (+.f64 (fma.f64 x x x) 1)) (*.f64 x (*.f64 2 (+.f64 (fma.f64 x x x) 1))))
(/.f64 (/.f64 (+.f64 (*.f64 (+.f64 -1 (pow.f64 x 3)) (neg.f64 x)) (*.f64 (fma.f64 x x (+.f64 x 1)) -1/2)) (fma.f64 x x (+.f64 x 1))) (neg.f64 x))
(/.f64 (fma.f64 -1/2 (fma.f64 x x (+.f64 x 1)) (neg.f64 (+.f64 (neg.f64 x) (pow.f64 x 4)))) (*.f64 (fma.f64 x x (+.f64 x 1)) (neg.f64 x)))
(/.f64 (fma.f64 -1/2 (+.f64 (fma.f64 x x x) 1) (+.f64 x (neg.f64 (pow.f64 x 4)))) (*.f64 (+.f64 (fma.f64 x x x) 1) (neg.f64 x)))
(pow.f64 (+.f64 x (+.f64 (/.f64 1/2 x) -1)) 1)
(+.f64 (/.f64 1/2 x) (+.f64 x -1))
(pow.f64 (sqrt.f64 (+.f64 x (+.f64 (/.f64 1/2 x) -1))) 2)
(+.f64 (/.f64 1/2 x) (+.f64 x -1))
(pow.f64 (cbrt.f64 (+.f64 x (+.f64 (/.f64 1/2 x) -1))) 3)
(+.f64 (/.f64 1/2 x) (+.f64 x -1))
(pow.f64 (pow.f64 (+.f64 x (+.f64 (/.f64 1/2 x) -1)) 3) 1/3)
(+.f64 (/.f64 1/2 x) (+.f64 x -1))
(sqrt.f64 (pow.f64 (+.f64 x (+.f64 (/.f64 1/2 x) -1)) 2))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 1/2 x) (+.f64 x -1)) 2))
(log.f64 (exp.f64 (+.f64 x (+.f64 (/.f64 1/2 x) -1))))
(+.f64 (/.f64 1/2 x) (+.f64 x -1))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (+.f64 (/.f64 1/2 x) -1)))))
(+.f64 (/.f64 1/2 x) (+.f64 x -1))
(cbrt.f64 (pow.f64 (+.f64 x (+.f64 (/.f64 1/2 x) -1)) 3))
(+.f64 (/.f64 1/2 x) (+.f64 x -1))
(expm1.f64 (log.f64 (+.f64 0 (+.f64 x (/.f64 1/2 x)))))
(+.f64 (/.f64 1/2 x) (+.f64 x -1))
(exp.f64 (log.f64 (+.f64 x (+.f64 (/.f64 1/2 x) -1))))
(+.f64 (/.f64 1/2 x) (+.f64 x -1))
(exp.f64 (*.f64 (log.f64 (+.f64 x (+.f64 (/.f64 1/2 x) -1))) 1))
(+.f64 (/.f64 1/2 x) (+.f64 x -1))
(log1p.f64 (expm1.f64 (+.f64 x (+.f64 (/.f64 1/2 x) -1))))
(+.f64 (/.f64 1/2 x) (+.f64 x -1))
(fma.f64 1/2 (/.f64 1 x) (+.f64 x -1))
(+.f64 (/.f64 1/2 x) (+.f64 x -1))
(fma.f64 1 (/.f64 1/2 x) (+.f64 x -1))
(+.f64 (/.f64 1/2 x) (+.f64 x -1))
(fma.f64 1 (+.f64 x -1) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 x) (+.f64 x -1))
(fma.f64 (sqrt.f64 (/.f64 1/2 x)) (sqrt.f64 (/.f64 1/2 x)) (+.f64 x -1))
(fma.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 (+.f64 x -1)) (/.f64 1/2 x))
(fma.f64 (cbrt.f64 (/.f64 1/4 (*.f64 x x))) (cbrt.f64 (/.f64 1/2 x)) (+.f64 x -1))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) (cbrt.f64 (+.f64 x -1)) (/.f64 1/2 x))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))) 0)))) 1)
(log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))
(log.f64 (fma.f64 2 x (/.f64 1/2 x)))
(*.f64 (log.f64 (+.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))) 0)) 1)
(log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))
(log.f64 (fma.f64 2 x (/.f64 1/2 x)))
(*.f64 1 (log.f64 (+.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))) 0)))
(log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))
(log.f64 (fma.f64 2 x (/.f64 1/2 x)))
(*.f64 (sqrt.f64 (log.f64 (+.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))) 0))) (sqrt.f64 (log.f64 (+.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))) 0))))
(log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))
(log.f64 (fma.f64 2 x (/.f64 1/2 x)))
(*.f64 (cbrt.f64 (log.f64 (+.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))) 0))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))) 0))) 2))
(log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))
(log.f64 (fma.f64 2 x (/.f64 1/2 x)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))) 0))) 2) (cbrt.f64 (log.f64 (+.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))) 0))))
(log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))
(log.f64 (fma.f64 2 x (/.f64 1/2 x)))
(pow.f64 (log.f64 (+.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))) 0)) 1)
(log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))
(log.f64 (fma.f64 2 x (/.f64 1/2 x)))
(pow.f64 (sqrt.f64 (log.f64 (+.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))) 0))) 2)
(log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))
(log.f64 (fma.f64 2 x (/.f64 1/2 x)))
(pow.f64 (cbrt.f64 (log.f64 (+.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))) 0))) 3)
(log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))
(log.f64 (fma.f64 2 x (/.f64 1/2 x)))
(pow.f64 (pow.f64 (log.f64 (+.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))) 0)) 3) 1/3)
(log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))
(log.f64 (fma.f64 2 x (/.f64 1/2 x)))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))) 0)) 2))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) 2))
(sqrt.f64 (pow.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x))) 2))
(log.f64 (+.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))) 0))
(log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))
(log.f64 (fma.f64 2 x (/.f64 1/2 x)))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))) 0)) 3))
(log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))
(log.f64 (fma.f64 2 x (/.f64 1/2 x)))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))) 0))))
(log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))
(log.f64 (fma.f64 2 x (/.f64 1/2 x)))
(exp.f64 (log.f64 (log.f64 (+.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))) 0))))
(log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))
(log.f64 (fma.f64 2 x (/.f64 1/2 x)))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))) 0))) 1))
(log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))
(log.f64 (fma.f64 2 x (/.f64 1/2 x)))

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.6b
(-.f64 (hypot.f64 1 x) x)
✓2.5b
(log.f64 (-.f64 (hypot.f64 1 x) x))
Compiler

Compiled 24 to 16 computations (33.3% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite60.0ms (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))))))

simplify49.0ms (0.5%)

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)))

eval502.0ms (5%)

Compiler

Compiled 21774 to 15396 computations (29.3% saved)

prune183.0ms (1.8%)

Pruning

19 alts after pruning (11 fresh and 8 done)

PrunedKeptTotal
New9286934
Fresh358
Picked011
Done178
Total93219951
Error
0b
Counts
951 → 19
Alt Table
Click to see full alt table
StatusErrorProgram
30.5b
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (/.f64 1 (/.f64 1 x)))
30.2b
(+.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)))
✓30.4b
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
47.9b
(neg.f64 (log.f64 (/.f64 x -1/2)))
✓44.2b
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
47.3b
(neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x))))
44.2b
(neg.f64 (log.f64 (+.f64 x (-.f64 (hypot.f64 1 x) (+.f64 x x)))))
✓63.3b
(log1p.f64 (-.f64 (/.f64 -1/2 x) 1))
45.7b
(log1p.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1)))
✓15.2b
(log1p.f64 (+.f64 x (/.f64 x (/.f64 (+.f64 1 (hypot.f64 1 x)) x))))
17.2b
(log1p.f64 (+.f64 x (/.f64 x (+.f64 (+.f64 1 (/.f64 1 x)) (/.f64 1/2 (*.f64 x x))))))
26.0b
(log1p.f64 (+.f64 x (/.f64 x (+.f64 (*.f64 1/2 x) (*.f64 2 (/.f64 1 x))))))
15.1b
(log1p.f64 (*.f64 (+.f64 1 (/.f64 x (+.f64 1 (hypot.f64 1 x)))) x))
✓26.8b
(log1p.f64 x)
✓47.9b
(log.f64 (/.f64 -1/2 x))
✓46.2b
(log.f64 (+.f64 x (hypot.f64 1 x)))
49.1b
(log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))
✓49.8b
(log.f64 (+.f64 x x))
29.0b
x
Compiler

Compiled 181 to 135 computations (25.4% saved)

regimes51.0ms (0.5%)

Counts
32 → 2
Calls
Call 1
Inputs
x
(log1p.f64 x)
(log.f64 (+.f64 x x))
(log.f64 (/.f64 -1/2 x))
(neg.f64 (log.f64 (/.f64 x -1/2)))
(log1p.f64 (-.f64 (/.f64 -1/2 x) 1))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))
(/.f64 1 (/.f64 1 (log.f64 (/.f64 -1/2 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))))
(log1p.f64 (+.f64 x (+.f64 (/.f64 1/2 x) (+.f64 x -1))))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (/.f64 1 (/.f64 1 x)))
(log1p.f64 (+.f64 x (/.f64 x (+.f64 (*.f64 1/2 x) (*.f64 2 (/.f64 1 x))))))
(log1p.f64 (+.f64 x (/.f64 x (+.f64 (+.f64 1 (/.f64 1 x)) (/.f64 1/2 (*.f64 x x))))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))
(log1p.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1)))
(log1p.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1)))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
(log.f64 (-.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) 1))
(neg.f64 (log.f64 (+.f64 x (-.f64 (hypot.f64 1 x) (+.f64 x x)))))
(log.f64 (/.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) (+.f64 x x)))))
(log1p.f64 (*.f64 (+.f64 1 (/.f64 x (+.f64 1 (hypot.f64 1 x)))) x))
(log1p.f64 (+.f64 x (/.f64 x (/.f64 (+.f64 1 (hypot.f64 1 x)) 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 1 (/.f64 1 (+.f64 (*.f64 3/40 (pow.f64 x 5)) x))))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (/.f64 1 (/.f64 1 (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)))
Outputs
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(log1p.f64 (*.f64 (+.f64 1 (/.f64 x (+.f64 1 (hypot.f64 1 x)))) x))
Calls

3 calls:

26.0ms
x
9.0ms
(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
7.0ms
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
Results
ErrorSegmentsBranch
0.0b2x
7.3b2(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
7.3b2(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
Compiler

Compiled 322 to 235 computations (27% saved)

bsearch12.0ms (0.1%)

Algorithm
1×binary-search
Steps
TimeLeftRight
11.0ms
-2.0964768460258796
-0.048480787520092015
Results
10.0ms96×body256valid
Compiler

Compiled 152 to 118 computations (22.4% saved)

regimes48.0ms (0.5%)

Counts
26 → 2
Calls
Call 1
Inputs
x
(log1p.f64 x)
(log.f64 (+.f64 x x))
(log.f64 (/.f64 -1/2 x))
(neg.f64 (log.f64 (/.f64 x -1/2)))
(log1p.f64 (-.f64 (/.f64 -1/2 x) 1))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))
(/.f64 1 (/.f64 1 (log.f64 (/.f64 -1/2 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))))
(log1p.f64 (+.f64 x (+.f64 (/.f64 1/2 x) (+.f64 x -1))))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (/.f64 1 (/.f64 1 x)))
(log1p.f64 (+.f64 x (/.f64 x (+.f64 (*.f64 1/2 x) (*.f64 2 (/.f64 1 x))))))
(log1p.f64 (+.f64 x (/.f64 x (+.f64 (+.f64 1 (/.f64 1 x)) (/.f64 1/2 (*.f64 x x))))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))
(log1p.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1)))
(log1p.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1)))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
(log.f64 (-.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) 1))
(neg.f64 (log.f64 (+.f64 x (-.f64 (hypot.f64 1 x) (+.f64 x x)))))
(log.f64 (/.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) (+.f64 x x)))))
Outputs
(neg.f64 (log.f64 (+.f64 x (-.f64 (hypot.f64 1 x) (+.f64 x x)))))
(log1p.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1)))
Calls

3 calls:

22.0ms
x
13.0ms
(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
6.0ms
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
Results
ErrorSegmentsBranch
0.4b2x
7.6b2(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
7.6b2(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
Compiler

Compiled 233 to 166 computations (28.8% saved)

bsearch20.0ms (0.2%)

Algorithm
1×binary-search
Steps
TimeLeftRight
20.0ms
-0.007081049999192258
-3.973760124177964e-21
Results
18.0ms160×body256valid
Compiler

Compiled 244 to 180 computations (26.2% saved)

regimes45.0ms (0.4%)

Counts
24 → 2
Calls
Call 1
Inputs
x
(log1p.f64 x)
(log.f64 (+.f64 x x))
(log.f64 (/.f64 -1/2 x))
(neg.f64 (log.f64 (/.f64 x -1/2)))
(log1p.f64 (-.f64 (/.f64 -1/2 x) 1))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))
(/.f64 1 (/.f64 1 (log.f64 (/.f64 -1/2 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))))
(log1p.f64 (+.f64 x (+.f64 (/.f64 1/2 x) (+.f64 x -1))))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (/.f64 1 (/.f64 1 x)))
(log1p.f64 (+.f64 x (/.f64 x (+.f64 (*.f64 1/2 x) (*.f64 2 (/.f64 1 x))))))
(log1p.f64 (+.f64 x (/.f64 x (+.f64 (+.f64 1 (/.f64 1 x)) (/.f64 1/2 (*.f64 x x))))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))
(log1p.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1)))
(log1p.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1)))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
(log.f64 (-.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) 1))
Outputs
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(log1p.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1)))
Calls

3 calls:

21.0ms
x
13.0ms
(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
6.0ms
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
Results
ErrorSegmentsBranch
0.4b2x
7.6b2(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
7.6b2(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
Compiler

Compiled 210 to 153 computations (27.1% saved)

bsearch19.0ms (0.2%)

Algorithm
1×binary-search
Steps
TimeLeftRight
19.0ms
-0.007081049999192258
-3.973760124177964e-21
Results
17.0ms160×body256valid
Compiler

Compiled 204 to 160 computations (21.6% saved)

regimes31.0ms (0.3%)

Counts
20 → 2
Calls
Call 1
Inputs
x
(log1p.f64 x)
(log.f64 (+.f64 x x))
(log.f64 (/.f64 -1/2 x))
(neg.f64 (log.f64 (/.f64 x -1/2)))
(log1p.f64 (-.f64 (/.f64 -1/2 x) 1))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))
(/.f64 1 (/.f64 1 (log.f64 (/.f64 -1/2 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))))
(log1p.f64 (+.f64 x (+.f64 (/.f64 1/2 x) (+.f64 x -1))))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (/.f64 1 (/.f64 1 x)))
(log1p.f64 (+.f64 x (/.f64 x (+.f64 (*.f64 1/2 x) (*.f64 2 (/.f64 1 x))))))
(log1p.f64 (+.f64 x (/.f64 x (+.f64 (+.f64 1 (/.f64 1 x)) (/.f64 1/2 (*.f64 x x))))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))
Outputs
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(log1p.f64 (+.f64 x (/.f64 x (+.f64 (+.f64 1 (/.f64 1 x)) (/.f64 1/2 (*.f64 x x))))))
Calls

1 calls:

27.0ms
x
Results
ErrorSegmentsBranch
0.9b2x
Compiler

Compiled 156 to 115 computations (26.3% saved)

bsearch21.0ms (0.2%)

Algorithm
1×binary-search
Steps
TimeLeftRight
20.0ms
-0.007081049999192258
-3.973760124177964e-21
Results
18.0ms160×body256valid
Compiler

Compiled 284 to 210 computations (26.1% saved)

regimes32.0ms (0.3%)

Counts
17 → 3
Calls
Call 1
Inputs
x
(log1p.f64 x)
(log.f64 (+.f64 x x))
(log.f64 (/.f64 -1/2 x))
(neg.f64 (log.f64 (/.f64 x -1/2)))
(log1p.f64 (-.f64 (/.f64 -1/2 x) 1))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))
(/.f64 1 (/.f64 1 (log.f64 (/.f64 -1/2 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))))
(log1p.f64 (+.f64 x (+.f64 (/.f64 1/2 x) (+.f64 x -1))))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (/.f64 1 (/.f64 1 x)))
(log1p.f64 (+.f64 x (/.f64 x (+.f64 (*.f64 1/2 x) (*.f64 2 (/.f64 1 x))))))
(log1p.f64 (+.f64 x (/.f64 x (+.f64 (+.f64 1 (/.f64 1 x)) (/.f64 1/2 (*.f64 x x))))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
Outputs
(neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x))))
(log1p.f64 (+.f64 x (/.f64 x (+.f64 (*.f64 1/2 x) (*.f64 2 (/.f64 1 x))))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
Calls

1 calls:

28.0ms
x
Results
ErrorSegmentsBranch
0.4b3x
Compiler

Compiled 134 to 98 computations (26.9% saved)

bsearch31.0ms (0.3%)

Algorithm
2×binary-search
Steps
TimeLeftRight
17.0ms
0.0034428139500905955
2.723398002688568
13.0ms
-2.0964768460258796
-0.048480787520092015
Results
27.0ms240×body256valid
Compiler

Compiled 395 to 301 computations (23.8% saved)

regimes24.0ms (0.2%)

Counts
16 → 2
Calls
Call 1
Inputs
x
(log1p.f64 x)
(log.f64 (+.f64 x x))
(log.f64 (/.f64 -1/2 x))
(neg.f64 (log.f64 (/.f64 x -1/2)))
(log1p.f64 (-.f64 (/.f64 -1/2 x) 1))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))
(/.f64 1 (/.f64 1 (log.f64 (/.f64 -1/2 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))))
(log1p.f64 (+.f64 x (+.f64 (/.f64 1/2 x) (+.f64 x -1))))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (/.f64 1 (/.f64 1 x)))
(log1p.f64 (+.f64 x (/.f64 x (+.f64 (*.f64 1/2 x) (*.f64 2 (/.f64 1 x))))))
(log1p.f64 (+.f64 x (/.f64 x (+.f64 (+.f64 1 (/.f64 1 x)) (/.f64 1/2 (*.f64 x x))))))
Outputs
(neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x))))
(log1p.f64 (+.f64 x (/.f64 x (+.f64 (+.f64 1 (/.f64 1 x)) (/.f64 1/2 (*.f64 x x))))))
Calls

1 calls:

20.0ms
x
Results
ErrorSegmentsBranch
1.4b2x
Compiler

Compiled 128 to 94 computations (26.6% saved)

bsearch17.0ms (0.2%)

Algorithm
1×binary-search
Steps
TimeLeftRight
17.0ms
-2.0964768460258796
-0.048480787520092015
Results
15.0ms112×body256valid
Compiler

Compiled 217 to 164 computations (24.4% saved)

regimes29.0ms (0.3%)

Counts
15 → 3
Calls
Call 1
Inputs
x
(log1p.f64 x)
(log.f64 (+.f64 x x))
(log.f64 (/.f64 -1/2 x))
(neg.f64 (log.f64 (/.f64 x -1/2)))
(log1p.f64 (-.f64 (/.f64 -1/2 x) 1))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))
(/.f64 1 (/.f64 1 (log.f64 (/.f64 -1/2 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))))
(log1p.f64 (+.f64 x (+.f64 (/.f64 1/2 x) (+.f64 x -1))))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (/.f64 1 (/.f64 1 x)))
(log1p.f64 (+.f64 x (/.f64 x (+.f64 (*.f64 1/2 x) (*.f64 2 (/.f64 1 x))))))
Outputs
(neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x))))
(log1p.f64 (+.f64 x (/.f64 x (+.f64 (*.f64 1/2 x) (*.f64 2 (/.f64 1 x))))))
(log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))
Calls

1 calls:

26.0ms
x
Results
ErrorSegmentsBranch
0.6b3x
Compiler

Compiled 112 to 83 computations (25.9% saved)

bsearch33.0ms (0.3%)

Algorithm
2×binary-search
Steps
TimeLeftRight
18.0ms
0.0034428139500905955
2.723398002688568
15.0ms
-2.0964768460258796
-0.048480787520092015
Results
29.0ms240×body256valid
Compiler

Compiled 411 to 309 computations (24.8% saved)

regimes25.0ms (0.2%)

Counts
14 → 3
Calls
Call 1
Inputs
x
(log1p.f64 x)
(log.f64 (+.f64 x x))
(log.f64 (/.f64 -1/2 x))
(neg.f64 (log.f64 (/.f64 x -1/2)))
(log1p.f64 (-.f64 (/.f64 -1/2 x) 1))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))
(/.f64 1 (/.f64 1 (log.f64 (/.f64 -1/2 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))))
(log1p.f64 (+.f64 x (+.f64 (/.f64 1/2 x) (+.f64 x -1))))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (/.f64 1 (/.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 (+.f64 x (/.f64 1/2 x))))
Calls

1 calls:

22.0ms
x
Results
ErrorSegmentsBranch
0.7b3x
Compiler

Compiled 98 to 73 computations (25.5% saved)

bsearch35.0ms (0.3%)

Algorithm
2×binary-search
Steps
TimeLeftRight
15.0ms
0.0034428139500905955
2.723398002688568
20.0ms
-2.0964768460258796
-0.048480787520092015
Results
32.0ms240×body256valid
Compiler

Compiled 306 to 234 computations (23.5% saved)

regimes31.0ms (0.3%)

Counts
9 → 3
Calls
Call 1
Inputs
x
(log1p.f64 x)
(log.f64 (+.f64 x x))
(log.f64 (/.f64 -1/2 x))
(neg.f64 (log.f64 (/.f64 x -1/2)))
(log1p.f64 (-.f64 (/.f64 -1/2 x) 1))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))
(/.f64 1 (/.f64 1 (log.f64 (/.f64 -1/2 x))))
Outputs
(neg.f64 (log.f64 (/.f64 x -1/2)))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))
Calls

1 calls:

23.0ms
x
Results
ErrorSegmentsBranch
0.7b3x
Compiler

Compiled 48 to 34 computations (29.2% saved)

bsearch31.0ms (0.3%)

Algorithm
2×binary-search
Steps
TimeLeftRight
17.0ms
0.0034428139500905955
2.723398002688568
13.0ms
-2.0964768460258796
-0.048480787520092015
Results
27.0ms240×body256valid
Compiler

Compiled 278 to 213 computations (23.4% saved)

regimes19.0ms (0.2%)

Counts
7 → 3
Calls
Call 1
Inputs
x
(log1p.f64 x)
(log.f64 (+.f64 x x))
(log.f64 (/.f64 -1/2 x))
(neg.f64 (log.f64 (/.f64 x -1/2)))
(log1p.f64 (-.f64 (/.f64 -1/2 x) 1))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
Outputs
(neg.f64 (log.f64 (/.f64 x -1/2)))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(log.f64 (+.f64 x x))
Calls

1 calls:

17.0ms
x
Results
ErrorSegmentsBranch
0.9b3x
Compiler

Compiled 32 to 22 computations (31.3% saved)

bsearch31.0ms (0.3%)

Algorithm
2×binary-search
Steps
TimeLeftRight
18.0ms
0.0034428139500905955
2.723398002688568
13.0ms
-2.0964768460258796
-0.048480787520092015
Results
28.0ms240×body256valid
Compiler

Compiled 246 to 189 computations (23.2% saved)

regimes18.0ms (0.2%)

Counts
6 → 3
Calls
Call 1
Inputs
x
(log1p.f64 x)
(log.f64 (+.f64 x x))
(log.f64 (/.f64 -1/2 x))
(neg.f64 (log.f64 (/.f64 x -1/2)))
(log1p.f64 (-.f64 (/.f64 -1/2 x) 1))
Outputs
(neg.f64 (log.f64 (/.f64 x -1/2)))
x
(log.f64 (+.f64 x x))
Calls

1 calls:

17.0ms
x
Results
ErrorSegmentsBranch
1.2b3x
Compiler

Compiled 25 to 17 computations (32% saved)

bsearch32.0ms (0.3%)

Algorithm
2×binary-search
Steps
TimeLeftRight
15.0ms
0.0034428139500905955
2.723398002688568
17.0ms
-2.0964768460258796
-0.048480787520092015
Results
29.0ms240×body256valid
Compiler

Compiled 156 to 114 computations (26.9% saved)

regimes15.0ms (0.1%)

Counts
4 → 3
Calls
Call 1
Inputs
x
(log1p.f64 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:

14.0ms
x
Results
ErrorSegmentsBranch
1.2b3x
Compiler

Compiled 14 to 8 computations (42.9% saved)

bsearch34.0ms (0.3%)

Algorithm
2×binary-search
Steps
TimeLeftRight
14.0ms
0.0034428139500905955
2.723398002688568
19.0ms
-2.0964768460258796
-0.048480787520092015
Results
31.0ms240×body256valid
Compiler

Compiled 149 to 107 computations (28.2% saved)

regimes12.0ms (0.1%)

Counts
3 → 2
Calls
Call 1
Inputs
x
(log1p.f64 x)
(log.f64 (+.f64 x x))
Outputs
x
(log.f64 (+.f64 x x))
Calls

1 calls:

11.0ms
x
Results
ErrorSegmentsBranch
16.0b2x
Compiler

Compiled 10 to 5 computations (50% saved)

bsearch15.0ms (0.1%)

Algorithm
1×binary-search
Steps
TimeLeftRight
15.0ms
0.0034428139500905955
2.723398002688568
Results
13.0ms128×body256valid
Compiler

Compiled 86 to 58 computations (32.6% saved)

regimes6.0ms (0.1%)

Accuracy

Total -5.0b remaining (-19.6%)

Threshold costs -5.0b (-19.6%)

Counts
2 → 2
Calls
Call 1
Inputs
x
(log1p.f64 x)
Outputs
x
(log1p.f64 x)
Calls

1 calls:

6.0ms
x
Results
ErrorSegmentsBranch
25.4b2x
Compiler

Compiled 6 to 3 computations (50% saved)

bsearch18.0ms (0.2%)

Algorithm
1×binary-search
Steps
TimeLeftRight
18.0ms
0.0034428139500905955
2.723398002688568
Results
17.0ms128×body256valid
Compiler

Compiled 70 to 50 computations (28.6% saved)

simplify25.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
48×+-commutative
24×*-commutative
20×sub-neg
14×neg-mul-1
14×neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0109903
1144903
2164903
3175903
4178903
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 x -3602879701896397/9007199254740992) (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (log1p.f64 (*.f64 (+.f64 1 (/.f64 x (+.f64 1 (hypot.f64 1 x)))) x)))
(if (<=.f64 x -2568967366681087/302231454903657293676544) (neg.f64 (log.f64 (+.f64 x (-.f64 (hypot.f64 1 x) (+.f64 x x))))) (log1p.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1))))
(if (<=.f64 x -3458764513820541/4611686018427387904) (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (log1p.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1))))
(if (<=.f64 x -2115620184325601/151115727451828646838272) (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (log1p.f64 (+.f64 x (/.f64 x (+.f64 (+.f64 1 (/.f64 1 x)) (/.f64 1/2 (*.f64 x x)))))))
(if (<=.f64 x -1) (neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))) (if (<=.f64 x 4842270319348757/1152921504606846976) (log1p.f64 (+.f64 x (/.f64 x (+.f64 (*.f64 1/2 x) (*.f64 2 (/.f64 1 x)))))) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -3242591731706757/9007199254740992) (neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))) (log1p.f64 (+.f64 x (/.f64 x (+.f64 (+.f64 1 (/.f64 1 x)) (/.f64 1/2 (*.f64 x x)))))))
(if (<=.f64 x -1) (neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))) (if (<=.f64 x 5854679515581645/4503599627370496) (log1p.f64 (+.f64 x (/.f64 x (+.f64 (*.f64 1/2 x) (*.f64 2 (/.f64 1 x)))))) (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))))
(if (<=.f64 x -4278419646001971/4503599627370496) (neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))) (if (<=.f64 x 4278419646001971/4503599627370496) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))))
(if (<=.f64 x -5/4) (neg.f64 (log.f64 (/.f64 x -1/2))) (if (<=.f64 x 4278419646001971/4503599627370496) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))))
(if (<=.f64 x -5/4) (neg.f64 (log.f64 (/.f64 x -1/2))) (if (<=.f64 x 5/4) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) (log.f64 (+.f64 x x))))
(if (<=.f64 x -5/4) (neg.f64 (log.f64 (/.f64 x -1/2))) (if (<=.f64 x 5/4) 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)))
(if (<=.f64 x 3602879701896397/2251799813685248) x (log1p.f64 x))
x
Outputs
(if (<=.f64 x -3602879701896397/9007199254740992) (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (log1p.f64 (*.f64 (+.f64 1 (/.f64 x (+.f64 1 (hypot.f64 1 x)))) x)))
(if (<=.f64 x -3602879701896397/9007199254740992) (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (log1p.f64 (*.f64 x (+.f64 1 (/.f64 x (+.f64 1 (hypot.f64 1 x)))))))
(if (<=.f64 x -2568967366681087/302231454903657293676544) (neg.f64 (log.f64 (+.f64 x (-.f64 (hypot.f64 1 x) (+.f64 x x))))) (log1p.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1))))
(if (<=.f64 x -3458764513820541/4611686018427387904) (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (log1p.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1))))
(if (<=.f64 x -2115620184325601/151115727451828646838272) (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (log1p.f64 (+.f64 x (/.f64 x (+.f64 (+.f64 1 (/.f64 1 x)) (/.f64 1/2 (*.f64 x x)))))))
(if (<=.f64 x -1) (neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))) (if (<=.f64 x 4842270319348757/1152921504606846976) (log1p.f64 (+.f64 x (/.f64 x (+.f64 (*.f64 1/2 x) (*.f64 2 (/.f64 1 x)))))) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -1) (neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))) (if (<=.f64 x 4842270319348757/1152921504606846976) (log1p.f64 (+.f64 x (/.f64 x (+.f64 (*.f64 x 1/2) (*.f64 (/.f64 1 x) 2))))) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -1) (neg.f64 (log.f64 (+.f64 (*.f64 x -2) (/.f64 -1/2 x)))) (if (<=.f64 x 4842270319348757/1152921504606846976) (log1p.f64 (+.f64 x (/.f64 x (+.f64 (*.f64 x 1/2) (*.f64 (/.f64 1 x) 2))))) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -3242591731706757/9007199254740992) (neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))) (log1p.f64 (+.f64 x (/.f64 x (+.f64 (+.f64 1 (/.f64 1 x)) (/.f64 1/2 (*.f64 x x)))))))
(if (<=.f64 x -3242591731706757/9007199254740992) (neg.f64 (log.f64 (+.f64 (*.f64 x -2) (/.f64 -1/2 x)))) (log1p.f64 (+.f64 x (/.f64 x (+.f64 (+.f64 1 (/.f64 1 x)) (/.f64 1/2 (*.f64 x x)))))))
(if (<=.f64 x -1) (neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))) (if (<=.f64 x 5854679515581645/4503599627370496) (log1p.f64 (+.f64 x (/.f64 x (+.f64 (*.f64 1/2 x) (*.f64 2 (/.f64 1 x)))))) (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))))
(if (<=.f64 x -1) (neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))) (if (<=.f64 x 5854679515581645/4503599627370496) (log1p.f64 (+.f64 x (/.f64 x (+.f64 (*.f64 x 1/2) (*.f64 (/.f64 1 x) 2))))) (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))))
(if (<=.f64 x -1) (neg.f64 (log.f64 (+.f64 (*.f64 x -2) (/.f64 -1/2 x)))) (if (<=.f64 x 5854679515581645/4503599627370496) (log1p.f64 (+.f64 x (/.f64 x (+.f64 (*.f64 x 1/2) (*.f64 (/.f64 1 x) 2))))) (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))))
(if (<=.f64 x -4278419646001971/4503599627370496) (neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))) (if (<=.f64 x 4278419646001971/4503599627370496) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))))
(if (<=.f64 x -4278419646001971/4503599627370496) (neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))) (if (<=.f64 x 4278419646001971/4503599627370496) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))))
(if (<=.f64 x -4278419646001971/4503599627370496) (neg.f64 (log.f64 (+.f64 (*.f64 x -2) (/.f64 -1/2 x)))) (if (<=.f64 x 4278419646001971/4503599627370496) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))))
(if (<=.f64 x -5/4) (neg.f64 (log.f64 (/.f64 x -1/2))) (if (<=.f64 x 4278419646001971/4503599627370496) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))))
(if (<=.f64 x -5/4) (neg.f64 (log.f64 (/.f64 x -1/2))) (if (<=.f64 x 4278419646001971/4503599627370496) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))))
(if (<=.f64 x -5/4) (neg.f64 (log.f64 (/.f64 x -1/2))) (if (<=.f64 x 5/4) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) (log.f64 (+.f64 x x))))
(if (<=.f64 x -5/4) (neg.f64 (log.f64 (/.f64 x -1/2))) (if (<=.f64 x 5/4) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (log.f64 (+.f64 x x))))
(if (<=.f64 x -5/4) (neg.f64 (log.f64 (/.f64 x -1/2))) (if (<=.f64 x 5/4) 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)))
(if (<=.f64 x 3602879701896397/2251799813685248) x (log1p.f64 x))
x
Compiler

Compiled 348 to 249 computations (28.4% saved)

soundness232.0ms (2.3%)

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
053910029
116129101
273499101
Stop Event
1×node limit
1×saturated
1×node limit
1×node limit
1×saturated
Compiler

Compiled 302 to 203 computations (32.8% saved)

end186.0ms (1.8%)

Compiler

Compiled 334 to 227 computations (32% saved)

Profiling

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