Details

Time bar (total: 8.8s)

analyze97.0ms (1.1%)

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

Compiled 11 to 8 computations (27.3% saved)

sample2.7s (30.3%)

Results
1.3s2616×body1024valid
677.0ms1278×body2048valid
365.0ms3045×body256valid
327.0ms1267×body512valid
29.0ms50×body4096valid
Bogosity

preprocess4.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

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

Compiled 11 to 8 computations (27.3% saved)

simplify11.0ms (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)

prune6.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New213
Fresh101
Picked000
Done000
Total314
Error
44.6b
Counts
4 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶44.6b
(log.f64 (+.f64 x (hypot.f64 1 x)))
Compiler

Compiled 7 to 5 computations (28.6% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.5b
(+.f64 x (hypot.f64 1 x))
✓2.8b
(log.f64 (+.f64 x (hypot.f64 1 x)))
Compiler

Compiled 17 to 11 computations (35.3% saved)

series3.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite63.0ms (0.7%)

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

Useful iterations: 0 (0.0ms)

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

simplify77.0ms (0.9%)

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

Useful iterations: 2 (0.0ms)

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

eval42.0ms (0.5%)

Compiler

Compiled 1894 to 1401 computations (26% saved)

prune39.0ms (0.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1316137
Fresh000
Picked011
Done000
Total1317138
Error
0.0b
Counts
138 → 7
Alt Table
Click to see full alt table
StatusErrorProgram
▶58.2b
(-.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)))))
▶29.5b
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
▶44.6b
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
▶51.1b
(log.f64 (/.f64 -1/2 x))
✓44.6b
(log.f64 (+.f64 x (hypot.f64 1 x)))
▶46.8b
(log.f64 (+.f64 x x))
28.2b
x
Compiler

Compiled 127 to 92 computations (27.6% saved)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 19 to 14 computations (26.3% saved)

series1.0ms (0%)

Counts
1 → 0
Calls

3 calls:

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

rewrite53.0ms (0.6%)

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

Useful iterations: 0 (0.0ms)

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

simplify53.0ms (0.6%)

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

Useful iterations: 2 (0.0ms)

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

localize4.0ms (0%)

Compiler

Compiled 9 to 3 computations (66.7% saved)

localize5.0ms (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)

series92.0ms (1%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
62.0ms
x
@-inf
(log.f64 (/.f64 -1/2 x))
24.0ms
x
@0
(log.f64 (/.f64 -1/2 x))
6.0ms
x
@inf
(log.f64 (/.f64 -1/2 x))

rewrite71.0ms (0.8%)

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))))))

simplify59.0ms (0.7%)

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

Useful iterations: 0 (0.0ms)

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

localize19.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(sqrt.f64 (+.f64 x (hypot.f64 1 x)))
0.5b
(+.f64 x (hypot.f64 1 x))
✓2.8b
(log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
Compiler

Compiled 39 to 27 computations (30.8% saved)

series3.0ms (0%)

Counts
2 → 8
Calls

6 calls:

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

rewrite67.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
1756×add-sqr-sqrt
1740×*-un-lft-identity
1618×add-cube-cbrt
1602×add-cbrt-cube
174×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0938
117738
2217438
Stop Event
1×node limit
Counts
2 → 49
Calls
Call 1
Inputs
(log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(sqrt.f64 (+.f64 x (hypot.f64 1 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (sqrt.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 (cbrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/4)) (log.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (sqrt.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)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/4) (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (cbrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (sqrt.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x)))) (sqrt.f64 (-.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (hypot.f64 1 x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.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)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2))) (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 x) (sqrt.f64 (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))))))

simplify66.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
1160×associate-*r*
1084×associate-+r+
974×associate-*l*
946×associate-+l+
822×associate-*r/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01411485
12901465
29371437
345121437
Stop Event
1×node limit
Counts
57 → 78
Calls
Call 1
Inputs
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (*.f64 -1/12 (pow.f64 x 3)))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/12 (pow.f64 x 3)) (*.f64 3/80 (pow.f64 x 5))))
(+.f64 (*.f64 -5/224 (pow.f64 x 7)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/12 (pow.f64 x 3)) (*.f64 3/80 (pow.f64 x 5)))))
1
(+.f64 (*.f64 1/2 x) 1)
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) 1))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/16 (pow.f64 x 3)) 1)))
(+.f64 0 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(+.f64 (log.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/4)) (log.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/4)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))) 1)
(*.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(*.f64 (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))))
(pow.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(pow.f64 (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) 2)
(pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) 3)
(pow.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 3) 1/3)
(sqrt.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(cbrt.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 3))
(expm1.f64 (log1p.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(exp.f64 (log.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(exp.f64 (*.f64 (log.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) 1))
(log1p.f64 (-.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 1))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) 1)
(*.f64 1 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 1)
(*.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/4) (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/4))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (cbrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 1/2))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (sqrt.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(/.f64 (sqrt.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x)))) (sqrt.f64 (-.f64 x (hypot.f64 1 x))))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 1/2)
(pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 1)
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/4) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 3)
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3/2) 1/3)
(pow.f64 (E.f64) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2))) (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(fabs.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(hypot.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x))
(hypot.f64 (sqrt.f64 x) (sqrt.f64 (hypot.f64 1 x)))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/2))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
Outputs
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (*.f64 -1/12 (pow.f64 x 3)))
(fma.f64 1/2 x (*.f64 -1/12 (pow.f64 x 3)))
(fma.f64 -1/12 (pow.f64 x 3) (*.f64 1/2 x))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/12 (pow.f64 x 3)) (*.f64 3/80 (pow.f64 x 5))))
(fma.f64 1/2 x (fma.f64 -1/12 (pow.f64 x 3) (*.f64 3/80 (pow.f64 x 5))))
(fma.f64 -1/12 (pow.f64 x 3) (fma.f64 1/2 x (*.f64 3/80 (pow.f64 x 5))))
(+.f64 (*.f64 -5/224 (pow.f64 x 7)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/12 (pow.f64 x 3)) (*.f64 3/80 (pow.f64 x 5)))))
(fma.f64 -5/224 (pow.f64 x 7) (fma.f64 1/2 x (fma.f64 -1/12 (pow.f64 x 3) (*.f64 3/80 (pow.f64 x 5)))))
(fma.f64 1/2 x (fma.f64 -5/224 (pow.f64 x 7) (fma.f64 -1/12 (pow.f64 x 3) (*.f64 3/80 (pow.f64 x 5)))))
(fma.f64 -5/224 (pow.f64 x 7) (fma.f64 -1/12 (pow.f64 x 3) (fma.f64 1/2 x (*.f64 3/80 (pow.f64 x 5)))))
1
(+.f64 (*.f64 1/2 x) 1)
(fma.f64 1/2 x 1)
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) 1))
(fma.f64 1/8 (*.f64 x x) (fma.f64 1/2 x 1))
(fma.f64 1/2 x (fma.f64 x (*.f64 x 1/8) 1))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/16 (pow.f64 x 3)) 1)))
(fma.f64 1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 -1/16 (pow.f64 x 3) 1)))
(fma.f64 1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 (pow.f64 x 3) -1/16 1)))
(fma.f64 1/2 x (fma.f64 x (*.f64 x 1/8) (fma.f64 (pow.f64 x 3) -1/16 1)))
(+.f64 0 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(+.f64 (log.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/4)) (log.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/4)))
(log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))) 1)
(log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2)))
(*.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))))
(log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(pow.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(pow.f64 (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) 2)
(log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) 3)
(log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(pow.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 3) 1/3)
(log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(sqrt.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(cbrt.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 3))
(log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(expm1.f64 (log1p.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(exp.f64 (log.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) 1))
(log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(log1p.f64 (-.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 1))
(log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) 1)
(sqrt.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 1 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(sqrt.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 1)
(sqrt.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/4) (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/4))
(sqrt.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (cbrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (cbrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (fabs.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (sqrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(sqrt.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (fabs.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (sqrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (sqrt.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(/.f64 (hypot.f64 (pow.f64 (hypot.f64 1 x) 3/2) (pow.f64 x 3/2)) (sqrt.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(/.f64 (hypot.f64 (pow.f64 (hypot.f64 1 x) 3/2) (pow.f64 x 3/2)) (sqrt.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x))))
(/.f64 (sqrt.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x)))) (sqrt.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (sqrt.f64 (-.f64 (*.f64 x x) (fma.f64 x x 1))) (sqrt.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (sqrt.f64 -1) (sqrt.f64 (-.f64 x (hypot.f64 1 x))))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 1/2)
(sqrt.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 1)
(sqrt.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/4) 2)
(sqrt.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 3)
(sqrt.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3/2) 1/3)
(cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3/2))
(pow.f64 (E.f64) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(sqrt.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(sqrt.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2))) (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(fabs.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(sqrt.f64 (+.f64 x (hypot.f64 1 x)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(sqrt.f64 (+.f64 x (hypot.f64 1 x)))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(sqrt.f64 (+.f64 x (hypot.f64 1 x)))
(cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(sqrt.f64 (+.f64 x (hypot.f64 1 x)))
(hypot.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x))
(hypot.f64 (sqrt.f64 x) (sqrt.f64 (hypot.f64 1 x)))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(sqrt.f64 (+.f64 x (hypot.f64 1 x)))
(exp.f64 (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/2))
(sqrt.f64 (+.f64 x (hypot.f64 1 x)))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(sqrt.f64 (+.f64 x (hypot.f64 1 x)))

localize55.0ms (0.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.2b
(-.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)))))
✓8.4b
(+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))
✓13.7b
(log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))
✓16.8b
(log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
Compiler

Compiled 97 to 67 computations (30.9% saved)

series14.0ms (0.2%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
9.0ms
x
@inf
(+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))
1.0ms
x
@inf
(log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
1.0ms
x
@-inf
(log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))
1.0ms
x
@0
(-.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)))))
0.0ms
x
@-inf
(log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))

rewrite154.0ms (1.7%)

Algorithm
1×batch-egg-rewrite
Rules
1650×associate-*l/
958×associate-/r*
480×associate-+l+
378×add-sqr-sqrt
368×*-un-lft-identity
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
017158
1373108
24986108
Stop Event
1×node limit
Counts
4 → 243
Calls
Call 1
Inputs
(log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
(log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))
(+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))) (log.f64 (pow.f64 (cbrt.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))) (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))) 2)) (log.f64 (cbrt.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 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))) (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))) 2))) (log.f64 (cbrt.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 0 (exp.f64 (log1p.f64 (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (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 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))) (sqrt.f64 (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))) (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))) 2) (cbrt.f64 (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))) (log.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (fma.f64 (neg.f64 (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))) 1 (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))) (sqrt.f64 (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))) (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 (pow.f64 x 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x) (-.f64 (hypot.f64 1 x) x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) 3) (pow.f64 (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))) 3)) 1) (+.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) 2) (*.f64 (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))) (log.f64 (*.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 (-.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) 3) (pow.f64 (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))) 3)) (sqrt.f64 (+.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) 2) (*.f64 (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))) (log.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))))))) (sqrt.f64 (+.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) 2) (*.f64 (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))) (log.f64 (*.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 (-.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) 3) (pow.f64 (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) 2) (*.f64 (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))) (log.f64 (*.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)))))))) (cbrt.f64 (+.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 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(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 x (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (neg.f64 (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))) (sqrt.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))) (neg.f64 (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))) 2) (cbrt.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))) (neg.f64 (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))))))))

simplify176.0ms (2%)

Algorithm
1×egg-herbie
Rules
772×+-commutative
676×associate-/l*
616×associate-*r*
566×associate-*l*
554×associate-+l+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
074022389
1201518675
Stop Event
1×node limit
Counts
291 → 456
Calls
Call 1
Inputs
(*.f64 -1 x)
(+.f64 (*.f64 3/2 (pow.f64 x 2)) (*.f64 -1 x))
(+.f64 (*.f64 7/6 (pow.f64 x 3)) (+.f64 (*.f64 3/2 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 (*.f64 -3/4 (pow.f64 x 4)) (+.f64 (*.f64 7/6 (pow.f64 x 3)) (+.f64 (*.f64 3/2 (pow.f64 x 2)) (*.f64 -1 x))))
(*.f64 -2 (log.f64 (/.f64 1 x)))
(+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (*.f64 -2 (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (*.f64 -2 (log.f64 (/.f64 1 x)))) (*.f64 1/12 (/.f64 1 (pow.f64 x 6))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 5/64 (/.f64 1 (pow.f64 x 8))) (*.f64 -2 (log.f64 (/.f64 1 x))))) (*.f64 1/12 (/.f64 1 (pow.f64 x 6))))
(+.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 3))
(+.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (log.f64 3)))
(-.f64 (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (log.f64 3))) (*.f64 1/6 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/12 (/.f64 1 (pow.f64 x 6))) (log.f64 3)))) (*.f64 1/6 (/.f64 1 (pow.f64 x 4))))
(*.f64 3/2 (pow.f64 x 2))
(+.f64 (*.f64 3/2 (pow.f64 x 2)) (pow.f64 x 3))
(+.f64 (*.f64 -3/4 (pow.f64 x 4)) (+.f64 (*.f64 3/2 (pow.f64 x 2)) (pow.f64 x 3)))
(+.f64 (*.f64 -3/4 (pow.f64 x 4)) (+.f64 (*.f64 3/2 (pow.f64 x 2)) (+.f64 (*.f64 -3/2 (pow.f64 x 5)) (pow.f64 x 3))))
(+.f64 (log.f64 2) (*.f64 -3 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (+.f64 (*.f64 3/4 (/.f64 1 (pow.f64 x 2))) (*.f64 -3 (log.f64 (/.f64 1 x)))))
(-.f64 (+.f64 (*.f64 3/4 (/.f64 1 (pow.f64 x 2))) (+.f64 (log.f64 2) (*.f64 -3 (log.f64 (/.f64 1 x))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (*.f64 3/4 (/.f64 1 (pow.f64 x 2))) (+.f64 (log.f64 2) (*.f64 -3 (log.f64 (/.f64 1 x))))) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 6))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4)))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 3/2))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (log.f64 3/2)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (log.f64 3/2))) (*.f64 7/96 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (log.f64 3/2)))) (*.f64 7/96 (/.f64 1 (pow.f64 x 4))))
1
(+.f64 1 (*.f64 3/2 (pow.f64 x 2)))
(+.f64 1 (+.f64 (*.f64 3/2 (pow.f64 x 2)) (pow.f64 x 3)))
(+.f64 1 (+.f64 (*.f64 3/8 (pow.f64 x 4)) (+.f64 (*.f64 3/2 (pow.f64 x 2)) (pow.f64 x 3))))
(*.f64 2 (pow.f64 x 3))
(+.f64 (*.f64 2 (pow.f64 x 3)) (*.f64 3/2 x))
(+.f64 (*.f64 3/8 (/.f64 1 x)) (+.f64 (*.f64 2 (pow.f64 x 3)) (*.f64 3/2 x)))
(-.f64 (+.f64 (*.f64 3/8 (/.f64 1 x)) (+.f64 (*.f64 2 (pow.f64 x 3)) (*.f64 3/2 x))) (*.f64 1/16 (/.f64 1 (pow.f64 x 3))))
(*.f64 -3/2 x)
(-.f64 (*.f64 -3/2 x) (*.f64 3/8 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 3))) (*.f64 -3/2 x)) (*.f64 3/8 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 3))) (*.f64 -3/2 x)) (+.f64 (*.f64 3/8 (/.f64 1 x)) (*.f64 3/128 (/.f64 1 (pow.f64 x 5)))))
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 (+.f64 (log.f64 2) (*.f64 -3 (log.f64 (/.f64 1 x)))) (*.f64 -2 (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (log.f64 2) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 -3 (log.f64 (/.f64 1 x))))) (*.f64 -2 (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (log.f64 2) (+.f64 (*.f64 -3 (log.f64 (/.f64 1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 -2 (log.f64 (/.f64 1 x)))))
(-.f64 (+.f64 (log.f64 2) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 -3 (log.f64 (/.f64 1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 -2 (log.f64 (/.f64 1 x)))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 3/2)) (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 3)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 3/2)) (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (log.f64 3))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (log.f64 3/2))) (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (log.f64 3))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (log.f64 3/2))) (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (log.f64 3)))))
(+.f64 (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))) 0)
(+.f64 0 (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(+.f64 (log.f64 (cbrt.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))) (log.f64 (pow.f64 (cbrt.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))) 2)))
(+.f64 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))) (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))) 2)) (log.f64 (cbrt.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))))
(+.f64 (+.f64 0 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))) (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))))
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))) 2))) (log.f64 (cbrt.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))) 1)
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))))) 1)
(*.f64 1 (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(*.f64 (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))) 1)
(*.f64 (sqrt.f64 (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))) (sqrt.f64 (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))))
(*.f64 (cbrt.f64 (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))) (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))) 2) (cbrt.f64 (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))))
(pow.f64 (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))) 1)
(pow.f64 (sqrt.f64 (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))) 2)
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(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) 2) (*.f64 (neg.f64 (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))) (neg.f64 (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))))) 1) (-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (neg.f64 (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))))
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(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) 2) (pow.f64 (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))) 2))) 1) (neg.f64 (log.f64 (*.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 (neg.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) 3) (pow.f64 (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))) 3))) 1) (neg.f64 (+.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) 2) (*.f64 (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))) (log.f64 (*.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 (sqrt.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) 3) (pow.f64 (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))) 3))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (+.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) 2) (*.f64 (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))) (log.f64 (*.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 (sqrt.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) 2) (pow.f64 (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))) 2))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (*.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 (cbrt.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) 3) (pow.f64 (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))) 3))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (+.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) 2) (*.f64 (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))) (log.f64 (*.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 (cbrt.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) 2) (pow.f64 (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))) 2))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (*.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 (*.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) 2) (pow.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) 2)) (*.f64 (pow.f64 (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))) 2) (pow.f64 (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))) 2))) (/.f64 1 (log.f64 (*.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 (pow.f64 (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))) 2) (pow.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) 2) 3) (pow.f64 (pow.f64 (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))) 2) 3)) (/.f64 1 (log.f64 (*.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 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) 2) (pow.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) 2)) (+.f64 (*.f64 (pow.f64 (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))) 2) (pow.f64 (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))) 2)) (*.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) 2) (pow.f64 (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))) 2)))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) 3) (pow.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) 3)) (*.f64 (pow.f64 (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))) 3) (pow.f64 (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))) 3))) (/.f64 1 (+.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) 2) (*.f64 (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))) (log.f64 (*.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 (pow.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) 3) (pow.f64 (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))) 3)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) 3) 3) (pow.f64 (pow.f64 (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) 2) (*.f64 (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))) (log.f64 (*.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 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) 3) (pow.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) 3)) (+.f64 (*.f64 (pow.f64 (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))) 3) (pow.f64 (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))) 3)) (*.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) 3) (pow.f64 (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))) 3)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) 2) (pow.f64 (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))) 2)) 1) (log.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) 2) (pow.f64 (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))) 2)) (sqrt.f64 (log.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))))) (sqrt.f64 (log.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) 2) (pow.f64 (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))) 2)) (*.f64 (cbrt.f64 (log.f64 (*.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)))))) (cbrt.f64 (log.f64 (*.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)))))))) (cbrt.f64 (log.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) 3) (pow.f64 (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))) 3)) 1) (+.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) 2) (*.f64 (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))) (log.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) 3) (pow.f64 (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))) 3)) (sqrt.f64 (+.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) 2) (*.f64 (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))) (log.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))))))) (sqrt.f64 (+.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) 2) (*.f64 (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))) (log.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) 3) (pow.f64 (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) 2) (*.f64 (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))) (log.f64 (*.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)))))))) (cbrt.f64 (+.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) 2) (*.f64 (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))) (log.f64 (*.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)))))))))) (cbrt.f64 (+.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) 2) (*.f64 (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))) (log.f64 (*.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 (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))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(log.f64 (+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1))))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(fma.f64 1 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (neg.f64 (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))))
(fma.f64 (sqrt.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))) (sqrt.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))) (neg.f64 (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))) 2) (cbrt.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))) (neg.f64 (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))))
Outputs
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 3/2 (pow.f64 x 2)) (*.f64 -1 x))
(fma.f64 3/2 (*.f64 x x) (neg.f64 x))
(+.f64 (*.f64 7/6 (pow.f64 x 3)) (+.f64 (*.f64 3/2 (pow.f64 x 2)) (*.f64 -1 x)))
(fma.f64 7/6 (pow.f64 x 3) (fma.f64 3/2 (*.f64 x x) (neg.f64 x)))
(+.f64 (*.f64 -3/4 (pow.f64 x 4)) (+.f64 (*.f64 7/6 (pow.f64 x 3)) (+.f64 (*.f64 3/2 (pow.f64 x 2)) (*.f64 -1 x))))
(fma.f64 -3/4 (pow.f64 x 4) (fma.f64 7/6 (pow.f64 x 3) (fma.f64 3/2 (*.f64 x x) (neg.f64 x))))
(*.f64 -2 (log.f64 (/.f64 1 x)))
(*.f64 -2 (neg.f64 (log.f64 x)))
(+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (*.f64 -2 (log.f64 (/.f64 1 x))))
(+.f64 (*.f64 -2 (neg.f64 (log.f64 x))) (/.f64 1/2 (*.f64 x x)))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (*.f64 -2 (log.f64 (/.f64 1 x)))) (*.f64 1/12 (/.f64 1 (pow.f64 x 6))))
(+.f64 (/.f64 1/2 (*.f64 x x)) (-.f64 (*.f64 -2 (neg.f64 (log.f64 x))) (/.f64 1/12 (pow.f64 x 6))))
(+.f64 (*.f64 -2 (neg.f64 (log.f64 x))) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 -1/12 (pow.f64 x 6))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 5/64 (/.f64 1 (pow.f64 x 8))) (*.f64 -2 (log.f64 (/.f64 1 x))))) (*.f64 1/12 (/.f64 1 (pow.f64 x 6))))
(+.f64 (/.f64 1/2 (*.f64 x x)) (-.f64 (+.f64 (*.f64 -2 (neg.f64 (log.f64 x))) (/.f64 5/64 (pow.f64 x 8))) (/.f64 1/12 (pow.f64 x 6))))
(+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (*.f64 -2 (neg.f64 (log.f64 x))) (-.f64 (/.f64 5/64 (pow.f64 x 8)) (/.f64 1/12 (pow.f64 x 6)))))
(+.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 3))
(fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 3))
(+.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (log.f64 3)))
(fma.f64 -2 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 1/2 (*.f64 x x)) (log.f64 3)))
(+.f64 (/.f64 1/2 (*.f64 x x)) (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 3)))
(-.f64 (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (log.f64 3))) (*.f64 1/6 (/.f64 1 (pow.f64 x 4))))
(-.f64 (fma.f64 -2 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 1/2 (*.f64 x x)) (log.f64 3))) (/.f64 1/6 (pow.f64 x 4)))
(+.f64 (+.f64 (/.f64 1/2 (*.f64 x x)) (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 3))) (/.f64 -1/6 (pow.f64 x 4)))
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x
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(/.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) 3) (pow.f64 (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) 2) (*.f64 (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))) (log.f64 (*.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)))))))) (cbrt.f64 (+.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) 2) (*.f64 (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))) (log.f64 (*.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)))))))))) (cbrt.f64 (+.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) 2) (*.f64 (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))) (log.f64 (*.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 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) 3) (pow.f64 (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))) 3)) (+.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) 2) (*.f64 (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))) (log.f64 (*.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)))))))
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(+.f64 (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))) (-.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)
(+.f64 (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))) (-.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)
(+.f64 (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))) (-.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3)
(+.f64 (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))) (-.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(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 (hypot.f64 1 x)))
(+.f64 (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))) (-.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))))
(log.f64 (+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1))))
(log1p.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1)))
(log1p.f64 (+.f64 x (+.f64 -1 (hypot.f64 1 x))))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
(+.f64 (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))) (-.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))) (-.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))) (-.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(+.f64 (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))) (-.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(log1p.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1)))
(log1p.f64 (+.f64 x (+.f64 -1 (hypot.f64 1 x))))
(fma.f64 1 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (neg.f64 (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) 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)))))
(fma.f64 (sqrt.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))) (sqrt.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))) (neg.f64 (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) 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)))))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))) 2) (cbrt.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))) (neg.f64 (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) 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)))))

eval714.0ms (8.1%)

Compiler

Compiled 26145 to 19174 computations (26.7% saved)

prune200.0ms (2.3%)

Pruning

9 alts after pruning (4 fresh and 5 done)

PrunedKeptTotal
New8153818
Fresh011
Picked101
Done055
Total8169825
Error
0.0b
Counts
825 → 9
Alt Table
Click to see full alt table
StatusErrorProgram
▶44.8b
(+.f64 (-.f64 (exp.f64 (log1p.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))) 1) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
▶29.5b
(+.f64 (+.f64 1 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) 1)) x)
▶44.6b
(+.f64 (*.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
✓29.5b
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
✓44.6b
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
✓51.1b
(log.f64 (/.f64 -1/2 x))
✓44.6b
(log.f64 (+.f64 x (hypot.f64 1 x)))
✓46.8b
(log.f64 (+.f64 x x))
28.2b
x
Compiler

Compiled 92 to 70 computations (23.9% saved)

localize28.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(sqrt.f64 (+.f64 x (hypot.f64 1 x)))
0.5b
(+.f64 x (hypot.f64 1 x))
2.8b
(log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
2.8b
(log.f64 (+.f64 x (hypot.f64 1 x)))
Compiler

Compiled 55 to 39 computations (29.1% saved)

localize18.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 (*.f64 -1/6 (pow.f64 x 3)) 1)
0.2b
(*.f64 -1/6 (pow.f64 x 3))
✓0.5b
(+.f64 1 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) 1))
Compiler

Compiled 40 to 33 computations (17.5% saved)

series1.0ms (0%)

Counts
2 → 15
Calls

6 calls:

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

rewrite69.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
1962×add-sqr-sqrt
1926×*-un-lft-identity
1826×add-cube-cbrt
1816×add-cbrt-cube
206×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01036
122628
2278428
Stop Event
1×node limit
Counts
2 → 80
Calls
Call 1
Inputs
(+.f64 1 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) 1))
(-.f64 (*.f64 -1/6 (pow.f64 x 3)) 1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 -1/6 (pow.f64 x 3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (fma.f64 -1/6 (pow.f64 x 3) -1))) (/.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) 2) (-.f64 1 (fma.f64 -1/6 (pow.f64 x 3) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 -1/6 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/6 (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (*.f64 x x) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 3) -1/6)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1/6 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 -1/6 (pow.f64 x 3))) (sqrt.f64 (*.f64 -1/6 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 -1/6 (pow.f64 x 3))) (*.f64 (sqrt.f64 (*.f64 -1/6 (pow.f64 x 3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 3/2) (*.f64 (pow.f64 x 3/2) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (cbrt.f64 -1/6)) (pow.f64 (*.f64 x (cbrt.f64 -1/6)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (cbrt.f64 -1/6)) 2) (*.f64 x (cbrt.f64 -1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (cbrt.f64 -1/6)) 2) (*.f64 (*.f64 x (cbrt.f64 -1/6)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (*.f64 x -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) 2)) (/.f64 1 (-.f64 1 (fma.f64 -1/6 (pow.f64 x 3) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) 3)) (/.f64 1 (+.f64 1 (*.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) (-.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1/6 x) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1/6 (pow.f64 x 3/2)) (pow.f64 x 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1/6 (*.f64 x x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1 (fma.f64 -1/6 (pow.f64 x 3) -1)) (-.f64 1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (*.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) (-.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) 1))) (+.f64 1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) 2)) (-.f64 1 (fma.f64 -1/6 (pow.f64 x 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) 3)) (+.f64 1 (*.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) (-.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) 3)) (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) 2) (-.f64 1 (fma.f64 -1/6 (pow.f64 x 3) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) 2) 1) (-.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) (fma.f64 -1/6 (pow.f64 x 3) 1)) 1) (+.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3) 1) (+.f64 (*.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) (fma.f64 -1/6 (pow.f64 x 3) 1)) (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) 2))) (neg.f64 (-.f64 1 (fma.f64 -1/6 (pow.f64 x 3) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) 3))) (neg.f64 (+.f64 1 (*.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) (-.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -1/6 (pow.f64 x 3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (cbrt.f64 -1/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 6) 1/36))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -1/6 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -1/6 (pow.f64 x 3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 -1/6 (pow.f64 x 3) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) -1)) (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) -1)) 2) (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) -1)) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/6 (pow.f64 x 3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (*.f64 -1/6 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -1/6 (pow.f64 x 3) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) -1)) (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) -1)) (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) -1)) 2) (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/36) -1) (/.f64 1 (fma.f64 -1/6 (pow.f64 x 3) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216) -1) (/.f64 1 (+.f64 (*.f64 (pow.f64 x 6) 1/36) (fma.f64 -1/6 (pow.f64 x 3) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (*.f64 -1/6 (pow.f64 x 3))) 1) (-.f64 (sqrt.f64 (*.f64 -1/6 (pow.f64 x 3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) (+.f64 (*.f64 (pow.f64 x 6) 1/36) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/36) (fma.f64 -1/6 (pow.f64 x 3) 1)) (+.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/36) -1) (fma.f64 -1/6 (pow.f64 x 3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/36) -1) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216) -1) (+.f64 (*.f64 (pow.f64 x 6) 1/36) (fma.f64 -1/6 (pow.f64 x 3) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216) -1) (+.f64 (*.f64 (pow.f64 x 6) 1/36) (-.f64 1 (*.f64 (*.f64 -1/6 (pow.f64 x 3)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/36) -1)) (neg.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216) -1)) (neg.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/36) (fma.f64 -1/6 (pow.f64 x 3) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) -1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) -1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -1/6 (pow.f64 x 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/6 (pow.f64 x 3) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (*.f64 -1/6 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -1/6 (pow.f64 x 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 -1/6 (pow.f64 x 3) -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -1/6 (pow.f64 x 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -1/6 (pow.f64 x 3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/6 (pow.f64 x 3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 3) -1/6 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 -1/6 (pow.f64 x 3))) (sqrt.f64 (*.f64 -1/6 (pow.f64 x 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 x (cbrt.f64 -1/6)) 2) (*.f64 x (cbrt.f64 -1/6)) -1)))))

simplify84.0ms (1%)

Algorithm
1×egg-herbie
Rules
1072×fma-def
790×associate--l-
782×+-commutative
616×times-frac
612×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01742403
13862267
215562201
372942201
Stop Event
1×node limit
Counts
95 → 98
Calls
Call 1
Inputs
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
-1
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(-.f64 (*.f64 -1/6 (pow.f64 x 3)) 0)
(-.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 1)
(-.f64 (/.f64 1 (-.f64 1 (fma.f64 -1/6 (pow.f64 x 3) -1))) (/.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) 2) (-.f64 1 (fma.f64 -1/6 (pow.f64 x 3) -1))))
(*.f64 1 (*.f64 -1/6 (pow.f64 x 3)))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 x (*.f64 (*.f64 x x) -1/6))
(*.f64 (pow.f64 x 3) -1/6)
(*.f64 (*.f64 -1/6 (pow.f64 x 3)) 1)
(*.f64 (sqrt.f64 (*.f64 -1/6 (pow.f64 x 3))) (sqrt.f64 (*.f64 -1/6 (pow.f64 x 3))))
(*.f64 (sqrt.f64 (*.f64 -1/6 (pow.f64 x 3))) (*.f64 (sqrt.f64 (*.f64 -1/6 (pow.f64 x 3))) 1))
(*.f64 (pow.f64 x 3/2) (*.f64 (pow.f64 x 3/2) -1/6))
(*.f64 (*.f64 x (cbrt.f64 -1/6)) (pow.f64 (*.f64 x (cbrt.f64 -1/6)) 2))
(*.f64 (pow.f64 (*.f64 x (cbrt.f64 -1/6)) 2) (*.f64 x (cbrt.f64 -1/6)))
(*.f64 (pow.f64 (*.f64 x (cbrt.f64 -1/6)) 2) (*.f64 (*.f64 x (cbrt.f64 -1/6)) 1))
(*.f64 (*.f64 x x) (*.f64 x -1/6))
(*.f64 (-.f64 1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) 2)) (/.f64 1 (-.f64 1 (fma.f64 -1/6 (pow.f64 x 3) -1))))
(*.f64 (+.f64 1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) 3)) (/.f64 1 (+.f64 1 (*.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) (-.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) 1)))))
(*.f64 (*.f64 -1/6 x) (*.f64 x x))
(*.f64 (*.f64 -1/6 (pow.f64 x 3/2)) (pow.f64 x 3/2))
(*.f64 (*.f64 -1/6 (*.f64 x x)) x)
(/.f64 1 (/.f64 (-.f64 1 (fma.f64 -1/6 (pow.f64 x 3) -1)) (-.f64 1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) 2))))
(/.f64 1 (/.f64 (+.f64 1 (*.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) (-.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) 1))) (+.f64 1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) 3))))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) 2)) (-.f64 1 (fma.f64 -1/6 (pow.f64 x 3) -1)))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) 3)) (+.f64 1 (*.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) (-.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) 1))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) 3)) (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) 2) (-.f64 1 (fma.f64 -1/6 (pow.f64 x 3) -1))))
(/.f64 (-.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) 2) 1) (-.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) 1))
(/.f64 (-.f64 (*.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) (fma.f64 -1/6 (pow.f64 x 3) 1)) 1) (+.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 1))
(/.f64 (-.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3) 1) (+.f64 (*.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) (fma.f64 -1/6 (pow.f64 x 3) 1)) (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) 1))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) 2))) (neg.f64 (-.f64 1 (fma.f64 -1/6 (pow.f64 x 3) -1))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) 3))) (neg.f64 (+.f64 1 (*.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) (-.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) 1)))))
(pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 1)
(pow.f64 (sqrt.f64 (*.f64 -1/6 (pow.f64 x 3))) 2)
(pow.f64 (*.f64 x (cbrt.f64 -1/6)) 3)
(pow.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216) 1/3)
(sqrt.f64 (*.f64 (pow.f64 x 6) 1/36))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3)))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216))
(expm1.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3))))
(exp.f64 (log.f64 (*.f64 -1/6 (pow.f64 x 3))))
(exp.f64 (*.f64 (log.f64 (*.f64 -1/6 (pow.f64 x 3))) 1))
(log1p.f64 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3))))
(fma.f64 1 (fma.f64 -1/6 (pow.f64 x 3) -1) 1)
(fma.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) -1)) (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) -1)) 1)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) -1)) 2) (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) -1)) 1)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) -1)
(+.f64 -1 (*.f64 -1/6 (pow.f64 x 3)))
(*.f64 1 (fma.f64 -1/6 (pow.f64 x 3) -1))
(*.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) 1)
(*.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) -1)) (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) -1)))
(*.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) -1)) (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) -1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) -1)) 2) (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) -1)))
(*.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/36) -1) (/.f64 1 (fma.f64 -1/6 (pow.f64 x 3) 1)))
(*.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216) -1) (/.f64 1 (+.f64 (*.f64 (pow.f64 x 6) 1/36) (fma.f64 -1/6 (pow.f64 x 3) 1))))
(*.f64 (+.f64 (sqrt.f64 (*.f64 -1/6 (pow.f64 x 3))) 1) (-.f64 (sqrt.f64 (*.f64 -1/6 (pow.f64 x 3))) 1))
(/.f64 1 (/.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) (+.f64 (*.f64 (pow.f64 x 6) 1/36) -1)))
(/.f64 1 (/.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/36) (fma.f64 -1/6 (pow.f64 x 3) 1)) (+.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216) -1)))
(/.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/36) -1) (fma.f64 -1/6 (pow.f64 x 3) 1))
(/.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/36) -1) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) -1))
(/.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216) -1) (+.f64 (*.f64 (pow.f64 x 6) 1/36) (fma.f64 -1/6 (pow.f64 x 3) 1)))
(/.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216) -1) (+.f64 (*.f64 (pow.f64 x 6) 1/36) (-.f64 1 (*.f64 (*.f64 -1/6 (pow.f64 x 3)) -1))))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/36) -1)) (neg.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216) -1)) (neg.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/36) (fma.f64 -1/6 (pow.f64 x 3) 1))))
(pow.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) 1)
(pow.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) -1)) 2)
(pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) -1)) 3)
(pow.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) 2))
(log.f64 (exp.f64 (fma.f64 -1/6 (pow.f64 x 3) -1)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/6 (pow.f64 x 3) -1))))
(cbrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) 3))
(expm1.f64 (log.f64 (*.f64 -1/6 (pow.f64 x 3))))
(exp.f64 (log.f64 (fma.f64 -1/6 (pow.f64 x 3) -1)))
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/6 (pow.f64 x 3) -1)) 1))
(log1p.f64 (expm1.f64 (fma.f64 -1/6 (pow.f64 x 3) -1)))
(fma.f64 1 (*.f64 -1/6 (pow.f64 x 3)) -1)
(fma.f64 -1/6 (pow.f64 x 3) -1)
(fma.f64 (pow.f64 x 3) -1/6 -1)
(fma.f64 (sqrt.f64 (*.f64 -1/6 (pow.f64 x 3))) (sqrt.f64 (*.f64 -1/6 (pow.f64 x 3))) -1)
(fma.f64 (pow.f64 (*.f64 x (cbrt.f64 -1/6)) 2) (*.f64 x (cbrt.f64 -1/6)) -1)
Outputs
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
-1
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(-.f64 (*.f64 -1/6 (pow.f64 x 3)) 0)
(*.f64 -1/6 (pow.f64 x 3))
(-.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 1)
(*.f64 -1/6 (pow.f64 x 3))
(-.f64 (/.f64 1 (-.f64 1 (fma.f64 -1/6 (pow.f64 x 3) -1))) (/.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) 2) (-.f64 1 (fma.f64 -1/6 (pow.f64 x 3) -1))))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) 2)) (-.f64 1 (fma.f64 -1/6 (pow.f64 x 3) -1)))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) 2)) (-.f64 2 (*.f64 -1/6 (pow.f64 x 3))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) 2)) (fma.f64 -1/6 (pow.f64 x 3) -2))
(*.f64 1 (*.f64 -1/6 (pow.f64 x 3)))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 x (*.f64 (*.f64 x x) -1/6))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -1/6)
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 (*.f64 -1/6 (pow.f64 x 3)) 1)
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 (sqrt.f64 (*.f64 -1/6 (pow.f64 x 3))) (sqrt.f64 (*.f64 -1/6 (pow.f64 x 3))))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 (sqrt.f64 (*.f64 -1/6 (pow.f64 x 3))) (*.f64 (sqrt.f64 (*.f64 -1/6 (pow.f64 x 3))) 1))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 (pow.f64 x 3/2) (*.f64 (pow.f64 x 3/2) -1/6))
(*.f64 -1/6 (pow.f64 x 3))
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(fma.f64 -1/6 (pow.f64 x 3) -1)
(pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) -1)) 3)
(fma.f64 -1/6 (pow.f64 x 3) -1)
(pow.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) 3) 1/3)
(fma.f64 -1/6 (pow.f64 x 3) -1)
(sqrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) 2))
(fma.f64 -1/6 (pow.f64 x 3) -1)
(log.f64 (exp.f64 (fma.f64 -1/6 (pow.f64 x 3) -1)))
(fma.f64 -1/6 (pow.f64 x 3) -1)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/6 (pow.f64 x 3) -1))))
(fma.f64 -1/6 (pow.f64 x 3) -1)
(cbrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) 3))
(fma.f64 -1/6 (pow.f64 x 3) -1)
(expm1.f64 (log.f64 (*.f64 -1/6 (pow.f64 x 3))))
(fma.f64 -1/6 (pow.f64 x 3) -1)
(exp.f64 (log.f64 (fma.f64 -1/6 (pow.f64 x 3) -1)))
(fma.f64 -1/6 (pow.f64 x 3) -1)
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/6 (pow.f64 x 3) -1)) 1))
(fma.f64 -1/6 (pow.f64 x 3) -1)
(log1p.f64 (expm1.f64 (fma.f64 -1/6 (pow.f64 x 3) -1)))
(fma.f64 -1/6 (pow.f64 x 3) -1)
(fma.f64 1 (*.f64 -1/6 (pow.f64 x 3)) -1)
(fma.f64 -1/6 (pow.f64 x 3) -1)
(fma.f64 -1/6 (pow.f64 x 3) -1)
(fma.f64 (pow.f64 x 3) -1/6 -1)
(fma.f64 -1/6 (pow.f64 x 3) -1)
(fma.f64 (sqrt.f64 (*.f64 -1/6 (pow.f64 x 3))) (sqrt.f64 (*.f64 -1/6 (pow.f64 x 3))) -1)
(fma.f64 -1/6 (pow.f64 x 3) -1)
(fma.f64 (pow.f64 (*.f64 x (cbrt.f64 -1/6)) 2) (*.f64 x (cbrt.f64 -1/6)) -1)
(fma.f64 -1/6 (pow.f64 x 3) -1)

localize39.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.3b
(exp.f64 (log1p.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
0.5b
(+.f64 x (hypot.f64 1 x))
2.8b
(log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
✓2.8b
(-.f64 (exp.f64 (log1p.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))) 1)
Compiler

Compiled 71 to 53 computations (25.4% saved)

series9.0ms (0.1%)

Counts
2 → 8
Calls

6 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
(-.f64 (exp.f64 (log1p.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))) 1)
2.0ms
x
@inf
(-.f64 (exp.f64 (log1p.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))) 1)
2.0ms
x
@-inf
(exp.f64 (log1p.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
1.0ms
x
@0
(-.f64 (exp.f64 (log1p.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))) 1)
1.0ms
x
@inf
(exp.f64 (log1p.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))

rewrite129.0ms (1.5%)

Algorithm
1×batch-egg-rewrite
Rules
918×*-commutative
806×associate-*r/
766×unswap-sqr
652×associate-*l/
612×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01250
124748
2287148
Stop Event
1×node limit
Counts
2 → 145
Calls
Call 1
Inputs
(-.f64 (exp.f64 (log1p.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))) 1)
(exp.f64 (log1p.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
Outputs
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x))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))))))))

simplify158.0ms (1.8%)

Algorithm
1×egg-herbie
Rules
1198×associate--l+
866×associate-+r-
848×associate-+l-
774×+-commutative
630×associate-/r/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
036110263
19189547
240649535
Stop Event
1×node limit
Counts
153 → 230
Calls
Call 1
Inputs
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (*.f64 -1/12 (pow.f64 x 3)))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/12 (pow.f64 x 3)) (*.f64 3/80 (pow.f64 x 5))))
(+.f64 (*.f64 -5/224 (pow.f64 x 7)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/12 (pow.f64 x 3)) (*.f64 3/80 (pow.f64 x 5)))))
1
(+.f64 (*.f64 1/2 x) 1)
(+.f64 (*.f64 1/2 x) (+.f64 1 (*.f64 -1/12 (pow.f64 x 3))))
(+.f64 (*.f64 1/2 x) (+.f64 1 (+.f64 (*.f64 -1/12 (pow.f64 x 3)) (*.f64 3/80 (pow.f64 x 5)))))
(+.f64 1 (+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) -1))
(+.f64 1 (-.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 0)
(+.f64 (+.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) -1)
(+.f64 0 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2) -2)
(+.f64 -1 (+.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(+.f64 (log.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/4)) (log.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/4)))
(+.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(+.f64 (log.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (+.f64 0 (log.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/4))) (log.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/4)))
(+.f64 (+.f64 0 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))) (log.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(+.f64 (+.f64 -1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) 1)
(+.f64 (*.f64 1 (log.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/4))) (*.f64 1 (log.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/4))))
(+.f64 (*.f64 1 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))) (*.f64 1 (log.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))))
(+.f64 (*.f64 1/2 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) (*.f64 1/2 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(+.f64 (*.f64 1/2 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2))) (*.f64 1/2 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))))
(+.f64 (*.f64 (log.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/4)) 1) (*.f64 (log.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/4)) 1))
(+.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 1) (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) 1))
(+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 1/2) (*.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 1/2))
(+.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) 1/2) (*.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 1/2))
(*.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(*.f64 (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/2)
(*.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) 2) -1) (/.f64 1 (+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) 2) (+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2))))
(*.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))) (-.f64 (sqrt.f64 (+.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))) 1))
(*.f64 (-.f64 (sqrt.f64 (+.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))) 1) (+.f64 1 (sqrt.f64 (+.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))))
(*.f64 2 (log.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/4)))
(*.f64 (/.f64 1 (+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (+.f64 (pow.f64 (+.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) 2) -1))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) 2) (+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2))) (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) 3)))
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) 2) -1) (+.f64 (pow.f64 (+.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) 2) -1)) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) 2) -1) (-.f64 1 (pow.f64 (+.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) 2))) (-.f64 0 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
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(pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) 3)
(pow.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 3) 1/3)
(neg.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) 2) -1) (neg.f64 (+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2))))
(neg.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) 3)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) 2) (+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2)))))
(sqrt.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(log.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 1)))
(cbrt.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 3))
(expm1.f64 (log1p.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(exp.f64 (log.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(log1p.f64 (-.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 1))
(fma.f64 1 (+.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) -1)
(fma.f64 (sqrt.f64 (+.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (+.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))) 2) (cbrt.f64 (+.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))) -1)
(+.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(+.f64 (+.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) 0)
(+.f64 0 (+.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(+.f64 (+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1)
(+.f64 -1 (+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(+.f64 (log.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/4)) (+.f64 (log.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/4)) 1))
(+.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) (+.f64 (log.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) 1))
(+.f64 (+.f64 1 (log.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/4))) (log.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/4)))
(+.f64 (+.f64 1 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))) (log.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(-.f64 (+.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) 0)
(-.f64 (+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2) 1)
(-.f64 (/.f64 (pow.f64 (+.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) 2) (+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (-.f64 (/.f64 1 (+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2)) 1))
(-.f64 (/.f64 (pow.f64 (+.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) 3) (+.f64 (pow.f64 (+.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) 2) (+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2))) (-.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) 2) (+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2))) 1))
(-.f64 (+.f64 1 (/.f64 (pow.f64 (+.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) 2) (+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2))) (/.f64 1 (+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2)))
(-.f64 (+.f64 1 (/.f64 (pow.f64 (+.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) 3) (+.f64 (pow.f64 (+.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) 2) (+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2)))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) 2) (+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2))))
(*.f64 1 (+.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 (+.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) 1)
(*.f64 (sqrt.f64 (+.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (+.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))))
(*.f64 (cbrt.f64 (+.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))) (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))) 2) (cbrt.f64 (+.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (+.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))) (cbrt.f64 (+.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))) (*.f64 (sqrt.f64 (cbrt.f64 (+.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))) (cbrt.f64 (+.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))) 2))))
(*.f64 (*.f64 (cbrt.f64 (+.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (cbrt.f64 (+.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))))) (*.f64 (cbrt.f64 (+.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (cbrt.f64 (+.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))) 2)) (cbrt.f64 (sqrt.f64 (+.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))) 2)) (cbrt.f64 (sqrt.f64 (+.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))))))
(/.f64 (-.f64 1 (pow.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (-.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(/.f64 (+.f64 1 (pow.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 3)) (+.f64 1 (-.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))))
(/.f64 (*.f64 1 (-.f64 1 (pow.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2))) (-.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(/.f64 (*.f64 1 (+.f64 1 (pow.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 3))) (+.f64 1 (-.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2)) 1) (-.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 3)) 1) (+.f64 1 (-.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))))
(pow.f64 (+.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) 1)
(pow.f64 (sqrt.f64 (+.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))) 2)
(pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))) 3)
(pow.f64 (E.f64) (log1p.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (+.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) 3) 1/3)
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))) (sqrt.f64 (log1p.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))) 2)) (cbrt.f64 (log1p.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))))
(sqrt.f64 (pow.f64 (+.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) 2))
(log.f64 (exp.f64 (+.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))))
(cbrt.f64 (pow.f64 (+.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) 3))
(expm1.f64 (log.f64 (+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2)))
(log1p.f64 (expm1.f64 (+.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))))
Outputs
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (*.f64 -1/12 (pow.f64 x 3)))
(fma.f64 1/2 x (*.f64 -1/12 (pow.f64 x 3)))
(fma.f64 -1/12 (pow.f64 x 3) (*.f64 1/2 x))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/12 (pow.f64 x 3)) (*.f64 3/80 (pow.f64 x 5))))
(fma.f64 1/2 x (fma.f64 -1/12 (pow.f64 x 3) (*.f64 3/80 (pow.f64 x 5))))
(+.f64 (*.f64 -5/224 (pow.f64 x 7)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/12 (pow.f64 x 3)) (*.f64 3/80 (pow.f64 x 5)))))
(fma.f64 -5/224 (pow.f64 x 7) (fma.f64 1/2 x (fma.f64 -1/12 (pow.f64 x 3) (*.f64 3/80 (pow.f64 x 5)))))
1
(+.f64 (*.f64 1/2 x) 1)
(fma.f64 1/2 x 1)
(+.f64 (*.f64 1/2 x) (+.f64 1 (*.f64 -1/12 (pow.f64 x 3))))
(+.f64 (fma.f64 1/2 x 1) (*.f64 -1/12 (pow.f64 x 3)))
(fma.f64 1/2 x (fma.f64 -1/12 (pow.f64 x 3) 1))
(+.f64 (*.f64 1/2 x) (+.f64 1 (+.f64 (*.f64 -1/12 (pow.f64 x 3)) (*.f64 3/80 (pow.f64 x 5)))))
(+.f64 (fma.f64 1/2 x 1) (fma.f64 -1/12 (pow.f64 x 3) (*.f64 3/80 (pow.f64 x 5))))
(+.f64 (fma.f64 1/2 x (fma.f64 -1/12 (pow.f64 x 3) 1)) (*.f64 3/80 (pow.f64 x 5)))
(+.f64 (*.f64 3/80 (pow.f64 x 5)) (fma.f64 1/2 x (fma.f64 -1/12 (pow.f64 x 3) 1)))
(+.f64 1 (+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) -1))
(log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 1 (-.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 0)
(log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (+.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) -1)
(log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 0 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2) -2)
(log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 -1 (+.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (log.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/4)) (log.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/4)))
(*.f64 2 (log.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/4)))
(*.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(+.f64 (log.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(+.f64 (+.f64 0 (log.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/4))) (log.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/4)))
(*.f64 2 (log.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/4)))
(*.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (+.f64 0 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))) (log.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(+.f64 (+.f64 -1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) 1)
(log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (*.f64 1 (log.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/4))) (*.f64 1 (log.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/4))))
(*.f64 2 (log.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/4)))
(*.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (*.f64 1 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))) (*.f64 1 (log.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(+.f64 (*.f64 1/2 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) (*.f64 1/2 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (*.f64 1/2 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2))) (*.f64 1/2 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 1/2 (+.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 1/2 (*.f64 3 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 3/2)
(+.f64 (*.f64 (log.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/4)) 1) (*.f64 (log.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/4)) 1))
(*.f64 2 (log.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/4)))
(*.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 1) (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) 1))
(+.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 1/2) (*.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 1/2))
(log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) 1/2) (*.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 1/2))
(*.f64 1/2 (+.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 1/2 (*.f64 3 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 3/2)
(*.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2)))
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/2)
(*.f64 2 (log.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/4)))
(*.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) 2) -1) (/.f64 1 (+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2)))
(log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
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(+.f64 (-.f64 (/.f64 (pow.f64 (+.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) 3) (+.f64 (+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2) (pow.f64 (+.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) 2))) (/.f64 1 (+.f64 (+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2) (pow.f64 (+.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) 2)))) 1)
(+.f64 1 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) 3)) (+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (+.f64 2 (pow.f64 (+.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) 2)))))
(+.f64 1 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) 3)) (+.f64 1 (*.f64 (+.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) (+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2)))))
(*.f64 1 (+.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(+.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (+.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) 1)
(+.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (sqrt.f64 (+.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))) (sqrt.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)))))
(*.f64 (cbrt.f64 (+.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))) (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))) 2))
(+.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))) 2) (cbrt.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)))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (+.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))) (cbrt.f64 (+.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))) (*.f64 (sqrt.f64 (cbrt.f64 (+.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))) (cbrt.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)))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))) 2))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))) 2) (*.f64 (cbrt.f64 (hypot.f64 1 (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))) (cbrt.f64 (hypot.f64 1 (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))) 2) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))) (cbrt.f64 (sqrt.f64 (+.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))))))
(*.f64 (*.f64 (cbrt.f64 (+.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (cbrt.f64 (+.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))))) (*.f64 (cbrt.f64 (+.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (cbrt.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)))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))) 2)) (cbrt.f64 (sqrt.f64 (+.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))) 2)) (cbrt.f64 (sqrt.f64 (+.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))) 2))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))) 2) (*.f64 (cbrt.f64 (hypot.f64 1 (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))) (cbrt.f64 (hypot.f64 1 (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))) 2) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))) (cbrt.f64 (sqrt.f64 (+.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))))))
(/.f64 (-.f64 1 (pow.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (-.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(/.f64 (+.f64 1 (pow.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 3)) (+.f64 1 (-.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))))
(/.f64 (*.f64 1 (-.f64 1 (pow.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2))) (-.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(/.f64 (-.f64 1 (pow.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (-.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(/.f64 (*.f64 1 (+.f64 1 (pow.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 3))) (+.f64 1 (-.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))))
(/.f64 (+.f64 1 (pow.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 3)) (+.f64 1 (-.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2)) 1) (-.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(/.f64 (-.f64 1 (pow.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (-.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 3)) 1) (+.f64 1 (-.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))))
(/.f64 (+.f64 1 (pow.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 3)) (+.f64 1 (-.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))))
(pow.f64 (+.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) 1)
(+.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (sqrt.f64 (+.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))) 2)
(+.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))) 3)
(+.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (E.f64) (log1p.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (+.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) 3) 1/3)
(+.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))) (sqrt.f64 (log1p.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))) 2)) (cbrt.f64 (log1p.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))))
(sqrt.f64 (pow.f64 (+.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) 2))
(fabs.f64 (+.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(log.f64 (exp.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)))))
(log.f64 (+.f64 1 (expm1.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)))))
(cbrt.f64 (pow.f64 (+.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) 3))
(+.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(expm1.f64 (log.f64 (+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2)))
(log1p.f64 (expm1.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)))))

eval597.0ms (6.8%)

Compiler

Compiled 23488 to 18674 computations (20.5% saved)

prune238.0ms (2.7%)

Pruning

10 alts after pruning (5 fresh and 5 done)

PrunedKeptTotal
New8544858
Fresh011
Picked101
Done257
Total85710867
Error
0b
Counts
867 → 10
Alt Table
Click to see full alt table
StatusErrorProgram
▶44.6b
(+.f64 (-.f64 (+.f64 1 (*.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
▶44.8b
(+.f64 (-.f64 (exp.f64 (log1p.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))) 1) (*.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x)))))
✓29.5b
(+.f64 (+.f64 1 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) 1)) x)
▶29.5b
(+.f64 (*.f64 (*.f64 x x) (*.f64 x -1/6)) x)
▶61.3b
(+.f64 (*.f64 1/2 (log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
✓44.6b
(+.f64 (*.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
✓51.1b
(log.f64 (/.f64 -1/2 x))
✓44.6b
(log.f64 (+.f64 x (hypot.f64 1 x)))
✓46.8b
(log.f64 (+.f64 x x))
28.2b
x
Compiler

Compiled 119 to 91 computations (23.5% saved)

localize43.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 (hypot.f64 1 x) x)
0.5b
(+.f64 x (hypot.f64 1 x))
2.8b
(log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
✓2.8b
(log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))
Compiler

Compiled 73 to 53 computations (27.4% saved)

series1.0ms (0%)

Counts
2 → 24
Calls

6 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)

rewrite65.0ms (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
0934
118734
2234434
Stop Event
1×node limit
Counts
2 → 67
Calls
Call 1
Inputs
(log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))
(-.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))))))

simplify60.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
1070×associate-/l*
852×associate-/r*
684×distribute-lft-in
622×associate-+l+
608×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02442619
16612337
226092337
Stop Event
1×node limit
Counts
91 → 153
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)))))
(+.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))
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 1/4 (*.f64 x x)) (+.f64 (+.f64 (log.f64 2) (log.f64 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 (+.f64 (/.f64 -3/32 (pow.f64 x 4)) (log.f64 2)) (+.f64 (+.f64 (log.f64 x) (/.f64 5/96 (pow.f64 x 6))) (/.f64 1/4 (*.f64 x 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 1/2) (-.f64 (log.f64 (/.f64 -1 x)) (/.f64 1/4 (*.f64 x x))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (/.f64 -1/4 (*.f64 x x))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.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 (+.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 (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))))))
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 x (+.f64 (*.f64 x 1/2) -1)))
(+.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 1/2 x)
(-.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3)))
(+.f64 (/.f64 1/2 x) (/.f64 -1/8 (pow.f64 x 3)))
(-.f64 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1/16 (pow.f64 x 5)) (-.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3))))
(+.f64 (/.f64 1/2 x) (+.f64 (/.f64 1/16 (pow.f64 x 5)) (/.f64 -1/8 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 1/16 (/.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 1/16 (pow.f64 x 5)) (+.f64 (/.f64 -1/8 (pow.f64 x 3)) (/.f64 -5/128 (pow.f64 x 7)))))
(*.f64 -2 x)
(*.f64 x -2)
(-.f64 (*.f64 -2 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 x -2) (/.f64 1/2 x))
(fma.f64 x -2 (/.f64 -1/2 x))
(-.f64 (+.f64 (*.f64 -2 x) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (fma.f64 -2 x (/.f64 1/8 (pow.f64 x 3))) (/.f64 1/2 x))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (fma.f64 x -2 (/.f64 -1/2 x)))
(-.f64 (+.f64 (*.f64 -2 x) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/16 (/.f64 1 (pow.f64 x 5)))))
(-.f64 (fma.f64 -2 x (/.f64 1/8 (pow.f64 x 3))) (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5))))
(+.f64 (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))))
(+.f64 0 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(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)))
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) 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)))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -2))) (neg.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))))
(-.f64 (log.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -2))) (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
(-.f64 0 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(-.f64 (log.f64 -1) (log.f64 (neg.f64 (-.f64 (hypot.f64 1 x) x))))
(-.f64 (log.f64 -1) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (exp.f64 (log1p.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))) 1)
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 1 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1)
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (sqrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) (sqrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2))
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2) (cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 -1 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(neg.f64 (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 (neg.f64 (pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2)) (log.f64 (-.f64 (hypot.f64 1 x) x)))
(/.f64 (pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) (neg.f64 (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))))))
(/.f64 (pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3) (+.f64 0 (pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2)))
(/.f64 (pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3) (pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2))
(pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1)
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(pow.f64 (sqrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2)
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(pow.f64 (cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 3)
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(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)))
(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))
(fabs.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(cbrt.f64 (pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3))
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(expm1.f64 (log1p.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(exp.f64 (log.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 1))
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(log1p.f64 (-.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) 1))
(log1p.f64 (+.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) -1))
(log1p.f64 (+.f64 -1 (/.f64 1 (-.f64 (hypot.f64 1 x) x))))
(+.f64 (hypot.f64 1 x) (neg.f64 x))
(-.f64 (hypot.f64 1 x) x)
(+.f64 (hypot.f64 1 x) (*.f64 (neg.f64 x) 1))
(-.f64 (hypot.f64 1 x) x)
(+.f64 (-.f64 (hypot.f64 1 x) x) (fma.f64 (neg.f64 x) 1 x))
(-.f64 (hypot.f64 1 x) x)
(+.f64 (-.f64 (hypot.f64 1 x) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(+.f64 x (-.f64 (hypot.f64 1 x) (+.f64 x (*.f64 (sqrt.f64 x) (sqrt.f64 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 (hypot.f64 1 x) x)
(*.f64 1 (-.f64 (hypot.f64 1 x) x))
(-.f64 (hypot.f64 1 x) x)
(*.f64 (-.f64 (hypot.f64 1 x) x) 1)
(-.f64 (hypot.f64 1 x) x)
(*.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))
(-.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 (hypot.f64 1 x) x)
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2) (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))
(-.f64 (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 1 (-.f64 (*.f64 x x) (*.f64 x x))) (/.f64 1 (+.f64 x (hypot.f64 1 x))))
(/.f64 1 (+.f64 x (hypot.f64 1 x)))
(*.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (+.f64 1 (*.f64 x x)) (*.f64 x (+.f64 x (hypot.f64 1 x))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) 1) (+.f64 1 (+.f64 (*.f64 x x) (*.f64 x (+.f64 x (hypot.f64 1 x))))))
(/.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (hypot.f64 1 x)) (fma.f64 x x 1)))
(*.f64 (+.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)))
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (hypot.f64 1 x))) (-.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)))
(/.f64 1 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))
(-.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 (+.f64 1 (-.f64 (*.f64 x x) (*.f64 x x))) (/.f64 1 (+.f64 x (hypot.f64 1 x))))
(/.f64 1 (+.f64 x (hypot.f64 1 x)))
(/.f64 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 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) 1) (+.f64 1 (+.f64 (*.f64 x x) (*.f64 x (+.f64 x (hypot.f64 1 x))))))
(/.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (hypot.f64 1 x)) (fma.f64 x x 1)))
(/.f64 (-.f64 (hypot.f64 1 x) x) 1)
(-.f64 (hypot.f64 1 x) x)
(/.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 (hypot.f64 1 x) x)
(/.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x)) (+.f64 x (hypot.f64 1 x)))
(*.f64 (+.f64 1 (-.f64 (*.f64 x x) (*.f64 x x))) (/.f64 1 (+.f64 x (hypot.f64 1 x))))
(/.f64 1 (+.f64 x (hypot.f64 1 x)))
(/.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (+.f64 (+.f64 1 (*.f64 x x)) (*.f64 x (+.f64 x (hypot.f64 1 x)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) 1) (+.f64 1 (+.f64 (*.f64 x x) (*.f64 x (+.f64 x (hypot.f64 1 x))))))
(/.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (hypot.f64 1 x)) (fma.f64 x x 1)))
(/.f64 (neg.f64 (-.f64 (hypot.f64 1 x) x)) -1)
(-.f64 (hypot.f64 1 x) x)
(/.f64 (neg.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x))) (neg.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (+.f64 1 (-.f64 (*.f64 x x) (*.f64 x x))) (/.f64 1 (+.f64 x (hypot.f64 1 x))))
(/.f64 1 (+.f64 x (hypot.f64 1 x)))
(/.f64 (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 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) 1) (+.f64 1 (+.f64 (*.f64 x x) (*.f64 x (+.f64 x (hypot.f64 1 x))))))
(/.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (hypot.f64 1 x)) (fma.f64 x x 1)))
(/.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (hypot.f64 1 x) (neg.f64 x)))
(*.f64 (+.f64 1 (-.f64 (*.f64 x x) (*.f64 x x))) (/.f64 1 (+.f64 x (hypot.f64 1 x))))
(/.f64 1 (+.f64 x (hypot.f64 1 x)))
(/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (neg.f64 x) 3)) (+.f64 (+.f64 1 (*.f64 x x)) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (hypot.f64 1 x) (neg.f64 x)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) 1) (+.f64 1 (+.f64 (*.f64 x x) (*.f64 x (+.f64 x (hypot.f64 1 x))))))
(/.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (hypot.f64 1 x)) (fma.f64 x x 1)))
(pow.f64 (-.f64 (hypot.f64 1 x) x) 1)
(-.f64 (hypot.f64 1 x) x)
(pow.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) 2)
(-.f64 (hypot.f64 1 x) x)
(pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 3)
(-.f64 (hypot.f64 1 x) x)
(pow.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 3) 1/3)
(-.f64 (hypot.f64 1 x) x)
(sqrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 2))
(fabs.f64 (-.f64 (hypot.f64 1 x) x))
(log.f64 (exp.f64 (-.f64 (hypot.f64 1 x) x)))
(-.f64 (hypot.f64 1 x) x)
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (hypot.f64 1 x) x))))
(-.f64 (hypot.f64 1 x) x)
(cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 3))
(-.f64 (hypot.f64 1 x) x)
(expm1.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) x)))
(-.f64 (hypot.f64 1 x) x)
(exp.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(-.f64 (hypot.f64 1 x) x)
(exp.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 1))
(-.f64 (hypot.f64 1 x) x)
(log1p.f64 (expm1.f64 (-.f64 (hypot.f64 1 x) x)))
(-.f64 (hypot.f64 1 x) x)
(fma.f64 1 (hypot.f64 1 x) (neg.f64 x))
(-.f64 (hypot.f64 1 x) x)
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) (neg.f64 x))
(-.f64 (hypot.f64 1 x) x)
(fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 x)) 2) (cbrt.f64 (hypot.f64 1 x)) (neg.f64 x))
(-.f64 (hypot.f64 1 x) x)

localize18.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.1b
(*.f64 (*.f64 x x) (*.f64 x -1/6))
✓0.4b
(*.f64 x -1/6)
Compiler

Compiled 25 to 12 computations (52% saved)

series1.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite60.0ms (0.7%)

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

Useful iterations: 1 (0.0ms)

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

simplify54.0ms (0.6%)

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

Useful iterations: 0 (0.0ms)

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

localize51.0ms (0.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.5b
(+.f64 x (hypot.f64 1 x))
2.8b
(log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
2.8b
(log.f64 (+.f64 x (hypot.f64 1 x)))
2.8b
(-.f64 (exp.f64 (log1p.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))) 1)
Compiler

Compiled 87 to 65 computations (25.3% saved)

localize40.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.5b
(+.f64 x (hypot.f64 1 x))
2.8b
(log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
2.8b
(log.f64 (+.f64 x (hypot.f64 1 x)))
✓2.8b
(-.f64 (+.f64 1 (*.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1)
Compiler

Compiled 81 to 61 computations (24.7% saved)

series12.0ms (0.1%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
11.0ms
x
@-inf
(-.f64 (+.f64 1 (*.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1)
1.0ms
x
@inf
(-.f64 (+.f64 1 (*.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1)
0.0ms
x
@0
(-.f64 (+.f64 1 (*.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1)

rewrite82.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
1246×associate-*r/
1022×*-commutative
994×associate-*l/
940×distribute-lft-in
396×associate-+l+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01235
126121
2350521
Stop Event
1×node limit
Counts
1 → 95
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (*.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) (*.f64 1/2 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2))) (*.f64 1/2 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (sqrt.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)))) (*.f64 1/2 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (sqrt.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)))) (*.f64 1/2 (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) (*.f64 1/2 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) 2) (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) 2) -1) (/.f64 1 (+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (pow.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) 2) (+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) 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egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)) (sqrt.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)) 2) (cbrt.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)) -1)))))

simplify96.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
1578×associate-/r*
1442×associate-*r/
1068×associate-*l/
1022×associate-+r+
948×associate-+l+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02938393
18278117
234368093
Stop Event
1×node limit
Counts
107 → 194
Calls
Call 1
Inputs
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (*.f64 -1/12 (pow.f64 x 3)))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/12 (pow.f64 x 3)) (*.f64 3/80 (pow.f64 x 5))))
(+.f64 (*.f64 -5/224 (pow.f64 x 7)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/12 (pow.f64 x 3)) (*.f64 3/80 (pow.f64 x 5)))))
(*.f64 1/2 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))))
(+.f64 (*.f64 1/2 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))) (*.f64 1/8 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 1/2 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))) (*.f64 1/8 (/.f64 1 (pow.f64 x 2)))) (*.f64 3/64 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (*.f64 1/2 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))) (+.f64 (*.f64 5/192 (/.f64 1 (pow.f64 x 6))) (*.f64 1/8 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/64 (/.f64 1 (pow.f64 x 4))))
(*.f64 1/2 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)))
(-.f64 (*.f64 1/2 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) (*.f64 1/8 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 3/64 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)))) (*.f64 1/8 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 3/64 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)))) (+.f64 (*.f64 5/192 (/.f64 1 (pow.f64 x 6))) (*.f64 1/8 (/.f64 1 (pow.f64 x 2)))))
(+.f64 1 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) -1))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 0)
(+.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) -1)
(+.f64 0 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) 1)
(+.f64 -1 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1))
(+.f64 (*.f64 1/2 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) (*.f64 1/2 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(+.f64 (*.f64 1/2 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2))) (*.f64 1/2 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/2)
(*.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (*.f64 1/2 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (*.f64 1/2 (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) (*.f64 1/2 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) 2) (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 (+.f64 (pow.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) 2) -1) (/.f64 1 (+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2)))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) 2) (+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2))))
(*.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (*.f64 1/2 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (*.f64 1/2 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(*.f64 (+.f64 1 (sqrt.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1))) (-.f64 (sqrt.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)) 1))
(*.f64 (-.f64 (sqrt.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)) 1) (+.f64 1 (sqrt.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1))))
(*.f64 (/.f64 1 (+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (+.f64 (pow.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) 2) -1))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) 2) (+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2))) (+.f64 -1 (pow.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) 3)))
(*.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) 2) -1) (+.f64 (pow.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) 2) -1)) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) 2) -1) (-.f64 1 (pow.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) 2))) (-.f64 0 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) 2) -1) (+.f64 1 (pow.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) 3))) (+.f64 (pow.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) 2) (-.f64 0 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) 3)) (-.f64 (*.f64 (pow.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) 2) (pow.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) 2)) (*.f64 (+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2)))) (-.f64 (pow.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) 2) (+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2)))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) 3)) (+.f64 (pow.f64 (pow.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) 2) 3) (pow.f64 (+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2) 3))) (+.f64 (*.f64 (pow.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) 2) (pow.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) 2)) (-.f64 (*.f64 (+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (*.f64 (pow.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) 2) (+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2)))))
(/.f64 1 (/.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) 2) (-.f64 1 (*.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) -1))) (+.f64 -1 (pow.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) 3))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(/.f64 (+.f64 (pow.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) 2) -1) (+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(/.f64 (+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2) (/.f64 (+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) 3)) (+.f64 (pow.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) 2) (+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) 3)) (+.f64 (pow.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) 2) (-.f64 1 (*.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) -1))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) 2) -1)) (/.f64 (+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) 2) -1))))
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) 3))) (/.f64 (+.f64 (pow.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) 2) (+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (sqrt.f64 (+.f64 -1 (pow.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) 3)))))
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) 3))) (/.f64 (+.f64 (pow.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) 2) (-.f64 1 (*.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) -1))) (sqrt.f64 (+.f64 -1 (pow.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) 3)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) 2) -1)) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) 2) -1))) (/.f64 (+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) 2) -1))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) 3))) (cbrt.f64 (+.f64 -1 (pow.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) 3)))) (/.f64 (+.f64 (pow.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) 2) (+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (+.f64 -1 (pow.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) 3)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) 3))) (cbrt.f64 (+.f64 -1 (pow.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) 3)))) (/.f64 (+.f64 (pow.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) 2) (-.f64 1 (*.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) -1))) (cbrt.f64 (+.f64 -1 (pow.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) 3)))))
(/.f64 (-.f64 1 (*.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) -1))) (-.f64 1 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) -1)))
(/.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) 2) (pow.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) 2)) 1) (*.f64 (+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 1 (pow.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) 2))))
(/.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) 3) (pow.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) 3)) 1) (*.f64 (+.f64 (pow.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) 2) (+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (+.f64 1 (pow.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) 3))))
(/.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) 3) (pow.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) 3)) 1) (*.f64 (+.f64 (pow.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) 2) (-.f64 1 (*.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) -1))) (+.f64 1 (pow.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) 3))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) 3)) (+.f64 1 (-.f64 (*.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) -1)) (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) -1))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) 2) 3) 1) (*.f64 (+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 (*.f64 (pow.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) 2) (pow.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) 2)) (+.f64 1 (pow.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) 2)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) 3) 3) 1) (*.f64 (+.f64 (pow.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) 2) (+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (+.f64 (*.f64 (pow.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) 3) (pow.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) 3)) (+.f64 1 (pow.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) 3)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) 3) 3) 1) (*.f64 (+.f64 (pow.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) 2) (-.f64 1 (*.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) -1))) (+.f64 (*.f64 (pow.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) 3) (pow.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) 3)) (+.f64 1 (pow.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) 3)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) 2) -1)) (neg.f64 (+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2)))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) 3))) (neg.f64 (+.f64 (pow.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) 2) (+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2))))
(/.f64 (*.f64 1 (-.f64 1 (*.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) -1)))) (-.f64 1 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) -1)))
(/.f64 (*.f64 1 (+.f64 1 (pow.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) 3))) (+.f64 1 (-.f64 (*.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) -1)) (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) -1))))
(/.f64 (*.f64 1 (neg.f64 (+.f64 (pow.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) 2) -1))) (neg.f64 (+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2)))
(/.f64 (*.f64 1 (neg.f64 (+.f64 -1 (pow.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) 3)))) (neg.f64 (+.f64 (pow.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) 2) (+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2))))
(/.f64 (*.f64 (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) 2) -1))) (sqrt.f64 (+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2)))
(/.f64 (*.f64 (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (+.f64 -1 (pow.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) 3)))) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) 2) (+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) 2) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) 2) -1))) (cbrt.f64 (+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) 2) (cbrt.f64 (+.f64 -1 (pow.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) 3)))) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) 2) (+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2))))
(/.f64 (*.f64 (-.f64 1 (*.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) -1))) 1) (-.f64 1 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) -1)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) 3)) 1) (+.f64 1 (-.f64 (*.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) -1)) (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) -1))))
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) 2) -1)) 1) (neg.f64 (+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2)))
(/.f64 (*.f64 (neg.f64 (+.f64 -1 (pow.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) 3))) 1) (neg.f64 (+.f64 (pow.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) 2) (+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) 2) -1)) (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) 3))) (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) 2) (+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) 2) -1)) (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) 2)) (cbrt.f64 (+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2)))
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) 3))) (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) 2)) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) 2) (+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) 2) (pow.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) 2)) 1) (/.f64 1 (+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2))) (+.f64 1 (pow.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) 2) 3) 1) (/.f64 1 (+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2))) (+.f64 (*.f64 (pow.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) 2) (pow.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) 2)) (+.f64 1 (pow.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) 2))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) 3) (pow.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) 3)) 1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) 2) (+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2)))) (+.f64 1 (pow.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) 3)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) 3) 3) 1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) 2) (+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2)))) (+.f64 (*.f64 (pow.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) 3) (pow.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) 3)) (+.f64 1 (pow.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) 3))))
(/.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) 2) -1) 1) (+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(/.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) 2) -1) (sqrt.f64 (+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2))) (sqrt.f64 (+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2)))
(/.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) 2) -1) (*.f64 (cbrt.f64 (+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2)))) (cbrt.f64 (+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2)))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) 3)) 1) (+.f64 (pow.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) 2) (+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2)))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) 3)) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) 2) (+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2)))) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) 2) (+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) 2) (+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2))) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) 2) (+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2))))) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) 2) (+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2))))
(pow.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(pow.f64 (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) 2)
(pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) 3)
(pow.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 3) 1/3)
(sqrt.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(log.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 1)))
(cbrt.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 3))
(expm1.f64 (log1p.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(exp.f64 (log.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(log1p.f64 (-.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 1))
(fma.f64 1 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) -1)
(fma.f64 (sqrt.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)) (sqrt.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)) -1)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)) 2) (cbrt.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)) -1)
Outputs
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (*.f64 -1/12 (pow.f64 x 3)))
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(/.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) 2) -1) (*.f64 (cbrt.f64 (+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2)))) (cbrt.f64 (+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2)))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) 2)) (/.f64 1 (+.f64 2 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) 2)) (+.f64 2 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) 3)) 1) (+.f64 (pow.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) 2) (+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2)))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) 2) (+.f64 2 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) 3)) (+.f64 (pow.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) 2) (+.f64 2 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) 3)) (+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (+.f64 2 (pow.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) 2))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) 3)) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) 2) (+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2)))) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) 2) (+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2))))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) 2) (+.f64 2 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) 3)) (+.f64 (pow.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) 2) (+.f64 2 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) 3)) (+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (+.f64 2 (pow.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) 2))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) 2) (+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2))) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) 2) (+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2))))) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) 2) (+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2))))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) 2) (+.f64 2 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) 3)) (+.f64 (pow.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) 2) (+.f64 2 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) 3)) (+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (+.f64 2 (pow.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) 2))))
(pow.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(pow.f64 (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) 2)
(log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) 3)
(log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(pow.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 3) 1/3)
(log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(sqrt.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(fabs.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(log.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 1)))
(log1p.f64 (+.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) -1))
(log.f64 (+.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 0))
(cbrt.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 3))
(log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(expm1.f64 (log1p.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(exp.f64 (log.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(log1p.f64 (-.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 1))
(log1p.f64 (+.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) -1))
(log.f64 (+.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 0))
(fma.f64 1 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1) -1)
(+.f64 1 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) -1))
(+.f64 (*.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x)))) 0)
(+.f64 0 (*.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(fma.f64 (sqrt.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)) (sqrt.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)) -1)
(+.f64 1 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) -1))
(+.f64 (*.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x)))) 0)
(+.f64 0 (*.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)) 2) (cbrt.f64 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)) -1)
(+.f64 1 (fma.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))) -1))
(+.f64 (*.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x)))) 0)
(+.f64 0 (*.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x)))))

eval1.1s (12.9%)

Compiler

Compiled 36042 to 28874 computations (19.9% saved)

prune381.0ms (4.3%)

Pruning

9 alts after pruning (3 fresh and 6 done)

PrunedKeptTotal
New114121143
Fresh011
Picked101
Done268
Total114491153
Error
0b
Counts
1153 → 9
Alt Table
Click to see full alt table
StatusErrorProgram
44.6b
(+.f64 (-.f64 (+.f64 1 (*.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1) (*.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x)))))
✓29.5b
(+.f64 (+.f64 1 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) 1)) x)
✓29.5b
(+.f64 (*.f64 (*.f64 x x) (*.f64 x -1/6)) x)
61.4b
(+.f64 (*.f64 1/2 (log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))) (*.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x)))))
✓44.6b
(+.f64 (*.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
✓51.1b
(log.f64 (/.f64 -1/2 x))
✓44.6b
(log.f64 (+.f64 x (hypot.f64 1 x)))
✓46.8b
(log.f64 (+.f64 x x))
28.2b
x
Compiler

Compiled 100 to 76 computations (24% saved)

regimes57.0ms (0.7%)

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

3 calls:

24.0ms
x
10.0ms
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
9.0ms
(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
Results
ErrorSegmentsBranch
0.1b3x
6.4b3(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
6.4b3(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
Compiler

Compiled 245 to 181 computations (26.1% saved)

bsearch50.0ms (0.6%)

Algorithm
2×binary-search
Steps
TimeLeftRight
30.0ms
7.805584588648994e-24
0.9450944224096819
20.0ms
-18409839628.72713
-0.03205454551538785
Results
45.0ms336×body256valid
Compiler

Compiled 503 to 361 computations (28.2% saved)

regimes63.0ms (0.7%)

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

3 calls:

25.0ms
x
18.0ms
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
8.0ms
(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
Results
ErrorSegmentsBranch
0.1b3x
6.4b3(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
6.4b3(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
Compiler

Compiled 113 to 80 computations (29.2% saved)

bsearch43.0ms (0.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
22.0ms
7.805584588648994e-24
0.9450944224096819
20.0ms
-18409839628.72713
-0.03205454551538785
Results
38.0ms336×body256valid
Compiler

Compiled 393 to 273 computations (30.5% saved)

regimes22.0ms (0.2%)

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

1 calls:

20.0ms
x
Results
ErrorSegmentsBranch
0.3b3x
Compiler

Compiled 39 to 26 computations (33.3% saved)

bsearch42.0ms (0.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
21.0ms
0.9450944224096819
1.525472605658352e+20
20.0ms
-18409839628.72713
-0.03205454551538785
Results
37.0ms336×body256valid
Compiler

Compiled 371 to 251 computations (32.3% saved)

regimes7.0ms (0.1%)

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

1 calls:

6.0ms
x
Results
ErrorSegmentsBranch
12.3b2x
Compiler

Compiled 17 to 9 computations (47.1% saved)

bsearch29.0ms (0.3%)

Algorithm
1×binary-search
Steps
TimeLeftRight
29.0ms
0.9450944224096819
1.525472605658352e+20
Results
27.0ms176×body256valid
Compiler

Compiled 113 to 76 computations (32.7% saved)

regimes4.0ms (0%)

Accuracy

Total -1.4b remaining (-5%)

Threshold costs -1.4b (-5%)

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

1 calls:

3.0ms
x
Results
ErrorSegmentsBranch
28.2b1x
Compiler

Compiled 13 to 7 computations (46.2% saved)

simplify11.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
6×+-commutative
6×*-commutative
2×1-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041261
149261
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 662929865148937/576460752303423488) (+.f64 (*.f64 (*.f64 x x) (*.f64 x -1/6)) x) (+.f64 (*.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))))
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 8669969714643489/9223372036854775808) (+.f64 (*.f64 (*.f64 x x) (*.f64 x -1/6)) x) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5674535530486825/4503599627370496) (+.f64 (*.f64 (*.f64 x x) (*.f64 x -1/6)) x) (log.f64 (+.f64 x x))))
(if (<=.f64 x 5674535530486825/4503599627370496) x (log.f64 (+.f64 x x)))
x
Outputs
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 662929865148937/576460752303423488) (+.f64 (*.f64 (*.f64 x x) (*.f64 x -1/6)) x) (+.f64 (*.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))))
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 662929865148937/576460752303423488) (+.f64 x (*.f64 (*.f64 x x) (*.f64 x -1/6))) (+.f64 (*.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))))
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 8669969714643489/9223372036854775808) (+.f64 (*.f64 (*.f64 x x) (*.f64 x -1/6)) x) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 8669969714643489/9223372036854775808) (+.f64 x (*.f64 (*.f64 x x) (*.f64 x -1/6))) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5674535530486825/4503599627370496) (+.f64 (*.f64 (*.f64 x x) (*.f64 x -1/6)) x) (log.f64 (+.f64 x x))))
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5674535530486825/4503599627370496) (+.f64 x (*.f64 (*.f64 x x) (*.f64 x -1/6))) (log.f64 (+.f64 x x))))
(if (<=.f64 x 5674535530486825/4503599627370496) x (log.f64 (+.f64 x x)))
x
Compiler

Compiled 104 to 70 computations (32.7% saved)

soundness112.0ms (1.3%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
01023
11617
21717
01023
11617
21717
039275
199209
2322143
31696143
46830143
01023
11617
21717
Stop Event
1×saturated
1×node limit
1×saturated
1×saturated
Compiler

Compiled 98 to 67 computations (31.6% saved)

end57.0ms (0.6%)

Compiler

Compiled 100 to 62 computations (38% saved)

Profiling

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