Hyperbolic arc-(co)secant

Time bar (total: 5.1s)

analyze12.0ms (0.2%)

Algorithm
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
0%0%50%0%0%50%0%3
33.3%12.5%25%0%0%62.5%0%4
60%18.7%12.5%0%0%68.7%0%5
77.8%21.9%6.2%0%0%71.8%0%6
88.2%23.4%3.1%0%0%73.4%0%7
93.9%24.2%1.6%0%0%74.2%0%8
96.9%24.6%0.8%0%0%74.6%0%9
98.4%24.8%0.4%0%0%74.8%0%10
99.2%24.9%0.2%0%0%74.9%0%11
99.6%24.9%0.1%0%0%74.9%0%12
Compiler

Compiled 15 to 11 computations (26.7% saved)

sample1.6s (32%)

Results
1.6s8256×body256valid
2.0ms17×body256invalid
Bogosity

preprocess465.0ms (9.1%)

Algorithm
egg-herbie
Rules
1654×fma-def
1242×sub-neg
1138×distribute-lft-out
842×associate-+r+
722×*-commutative
Problems
256×No Errors
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
020125
139121
261121
3119121
4174121
5256121
6382121
7656121
81268121
92148121
104774121
116496121
127274121
137572121
147628121
157660121
167937121
Stop Event
node limit
Calls
Call 1
Inputs
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(log.f64 (+.f64 (/.f64 1 (neg.f64 x)) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 (neg.f64 x) (neg.f64 x)))) (neg.f64 x))))
Outputs
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x)))
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x)))
(log.f64 (+.f64 (/.f64 1 (neg.f64 x)) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 (neg.f64 x) (neg.f64 x)))) (neg.f64 x))))
(log.f64 (+.f64 (/.f64 1 (neg.f64 x)) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (neg.f64 x))))
(log.f64 (+.f64 (/.f64 -1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (neg.f64 x))))
(log.f64 (+.f64 (/.f64 -1 x) (/.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) (neg.f64 x))))
Compiler

Compiled 68 to 40 computations (41.2% saved)

eval0.0ms (0%)

Compiler

Compiled 14 to 10 computations (28.6% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
100.0%
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
Compiler

Compiled 28 to 20 computations (28.6% saved)

localize62.0ms (1.2%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
100.0%
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
100.0%
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
Compiler

Compiled 54 to 30 computations (44.4% saved)

series4.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

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

rewrite97.0ms (1.9%)

Algorithm
batch-egg-rewrite
Rules
1214×log-prod
858×fma-def
854×pow-prod-down
648×pow-exp
618×pow-prod-up
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01262
126262
2376558
Stop Event
node limit
Counts
2 → 110
Calls
Call 1
Inputs
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
Outputs
(+.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 0)
(+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(+.f64 (neg.f64 (log.f64 x)) (log.f64 (+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1)))
(+.f64 0 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(+.f64 (*.f64 1/3 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (*.f64 2 (*.f64 1/3 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))))
(+.f64 (log.f64 (fma.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2) (pow.f64 x -3) (pow.f64 x -3))) (log.f64 (/.f64 1 (-.f64 (+.f64 (pow.f64 x -2) (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2))) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (*.f64 x x))))))
(+.f64 (log.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) (*.f64 -2 (log.f64 x)))
(+.f64 (*.f64 2 (*.f64 1/3 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))) (*.f64 1/3 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(+.f64 (log.f64 (/.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) x)) (log.f64 (/.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) x)))
(+.f64 (log.f64 (-.f64 (pow.f64 x -2) (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2)))) (log.f64 (/.f64 1 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))))
(+.f64 (log.f64 (+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1)) (neg.f64 (log.f64 x)))
(-.f64 0 (log.f64 (/.f64 (*.f64 x x) (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x))))
(-.f64 0 (log.f64 (/.f64 (-.f64 (+.f64 (pow.f64 x -2) (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2))) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (*.f64 x x))) (fma.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2) (pow.f64 x -3) (pow.f64 x -3)))))
(-.f64 0 (log.f64 (/.f64 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) (-.f64 (pow.f64 x -2) (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2))))))
(-.f64 (log.f64 (fma.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2) (pow.f64 x -3) (pow.f64 x -3))) (log.f64 (-.f64 (+.f64 (pow.f64 x -2) (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2))) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (*.f64 x x)))))
(-.f64 (log.f64 (fma.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2) (pow.f64 x -3) (pow.f64 x -3))) (log.f64 (fma.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2) (-.f64 (pow.f64 x -2) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (*.f64 x x))))))
(-.f64 (log.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) (*.f64 2 (log.f64 x)))
(-.f64 (log.f64 (-.f64 (pow.f64 x -2) (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2)))) (log.f64 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))) 1)
(-.f64 (log.f64 (+.f64 (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)) (log.f64 (*.f64 x (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(-.f64 (log.f64 (fma.f64 -1 x (*.f64 x (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))) (log.f64 (*.f64 x (neg.f64 x))))
(-.f64 (log.f64 (fma.f64 -1 (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))) (*.f64 (neg.f64 x) 1))) (log.f64 (*.f64 (neg.f64 x) (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(-.f64 (log.f64 (fma.f64 -1 x (*.f64 (neg.f64 x) (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (log.f64 (*.f64 x (neg.f64 x))))
(-.f64 (log.f64 (fma.f64 -1 (neg.f64 x) (*.f64 (neg.f64 x) (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))) (log.f64 (pow.f64 (neg.f64 x) 2)))
(-.f64 (log.f64 (+.f64 x (*.f64 (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))) 1))) (log.f64 (*.f64 (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
(-.f64 (log.f64 (fma.f64 -1 x (*.f64 (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))) -1))) (log.f64 (*.f64 (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))) (neg.f64 x))))
(-.f64 (log.f64 (fma.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (neg.f64 x) (*.f64 x -1))) (log.f64 (*.f64 x (neg.f64 x))))
(-.f64 (log.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x (*.f64 (neg.f64 x) 1))) (log.f64 (*.f64 x (neg.f64 x))))
(-.f64 (log.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (neg.f64 x) (*.f64 (neg.f64 x) -1))) (log.f64 (pow.f64 (neg.f64 x) 2)))
(-.f64 (log.f64 (neg.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x))) (log.f64 (*.f64 x (neg.f64 x))))
(-.f64 (log.f64 (neg.f64 (fma.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2) (pow.f64 x -3) (pow.f64 x -3)))) (log.f64 (neg.f64 (-.f64 (+.f64 (pow.f64 x -2) (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2))) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (*.f64 x x))))))
(-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 x -2) (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2))))) (log.f64 (neg.f64 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))))
(-.f64 (log.f64 (-.f64 (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2)) (pow.f64 x -2))) (log.f64 (-.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (/.f64 1 x))))
(-.f64 (log.f64 (/.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x) 1)) (*.f64 2 (log.f64 x)))
(-.f64 (log.f64 (/.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x) x)) (log.f64 x))
(-.f64 (log.f64 (/.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (*.f64 (cbrt.f64 x) x))) (*.f64 2 (log.f64 (cbrt.f64 x))))
(*.f64 1 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(*.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 1)
(*.f64 (cbrt.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (pow.f64 (cbrt.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) 2) (cbrt.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(*.f64 (sqrt.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (sqrt.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(*.f64 2 (log.f64 (/.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) x)))
(*.f64 3 (*.f64 1/3 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(*.f64 1/3 (*.f64 3 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(pow.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 1)
(pow.f64 (cbrt.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) 3)
(pow.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) 2)
(neg.f64 (log.f64 (/.f64 (*.f64 x x) (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x))))
(neg.f64 (log.f64 (/.f64 (-.f64 (+.f64 (pow.f64 x -2) (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2))) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (*.f64 x x))) (fma.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2) (pow.f64 x -3) (pow.f64 x -3)))))
(neg.f64 (log.f64 (/.f64 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) (-.f64 (pow.f64 x -2) (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2))))))
(sqrt.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 2))
(cbrt.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 3))
(expm1.f64 (log1p.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(exp.f64 (log.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(exp.f64 (*.f64 (log.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))) 2))
(log1p.f64 (fma.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1) -1))
(+.f64 0 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))) (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))) 1)
(*.f64 1 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
(*.f64 (/.f64 1 x) (sqrt.f64 (-.f64 1 (*.f64 x x))))
(*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (/.f64 1 x))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) 1)
(*.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (/.f64 1 x)))
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) (cbrt.f64 (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2))))
(*.f64 (cbrt.f64 (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2))) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) (/.f64 1 x)))
(*.f64 (pow.f64 x -1/2) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 x)))
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(*.f64 (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (pow.f64 (neg.f64 x) -1))
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 x x))) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (cbrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 1) (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) (cbrt.f64 (*.f64 x x))) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 x)) (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) 1) (/.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) x))
(*.f64 (/.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) (cbrt.f64 (*.f64 x x))) (/.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) (cbrt.f64 x)))
(*.f64 (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 (/.f64 1 x)))
(*.f64 (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (pow.f64 x -1/2)) (pow.f64 x -1/2))
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) 1)
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) 3)
(pow.f64 (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2)) 1/2)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) 2)
(pow.f64 (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))) -1)
(pow.f64 (/.f64 (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))) 1) -1)
(pow.f64 (*.f64 (cbrt.f64 (/.f64 1 x)) (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 3)
(pow.f64 (*.f64 (pow.f64 x -1/2) (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) 2)
(pow.f64 (*.f64 (pow.f64 x -3) (pow.f64 (-.f64 1 (*.f64 x x)) 3/2)) 1/3)
(neg.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (neg.f64 x)))
(sqrt.f64 (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2)))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) 3))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(exp.f64 (log.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) 3)) 1/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) 3) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))))) -1))
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))

simplify90.0ms (1.8%)

Algorithm
egg-herbie
Rules
978×unswap-sqr
744×associate-+l+
680×associate-+r+
604×log-prod
386×sub-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03996028
19905712
232225604
Stop Event
node limit
Counts
134 → 222
Calls
Call 1
Inputs
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 x)) (*.f64 -1/4 (pow.f64 x 2))))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 x)) (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (*.f64 -3/32 (pow.f64 x 4)))))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 x)) (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (+.f64 (*.f64 -3/32 (pow.f64 x 4)) (*.f64 -5/96 (pow.f64 x 6))))))
(log.f64 (sqrt.f64 -1))
(+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 1 (*.f64 x (sqrt.f64 -1))))
(-.f64 (+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 1 (*.f64 x (sqrt.f64 -1)))) (*.f64 1/6 (/.f64 1 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3)))))
(-.f64 (+.f64 (log.f64 (sqrt.f64 -1)) (+.f64 (*.f64 3/40 (/.f64 1 (*.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5)))) (/.f64 1 (*.f64 x (sqrt.f64 -1))))) (*.f64 1/6 (/.f64 1 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3)))))
(log.f64 (*.f64 -1 (sqrt.f64 -1)))
(-.f64 (log.f64 (*.f64 -1 (sqrt.f64 -1))) (/.f64 1 (*.f64 x (sqrt.f64 -1))))
(-.f64 (+.f64 (log.f64 (*.f64 -1 (sqrt.f64 -1))) (*.f64 1/6 (/.f64 1 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))))) (/.f64 1 (*.f64 x (sqrt.f64 -1))))
(-.f64 (+.f64 (log.f64 (*.f64 -1 (sqrt.f64 -1))) (*.f64 1/6 (/.f64 1 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))))) (+.f64 (*.f64 3/40 (/.f64 1 (*.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5)))) (/.f64 1 (*.f64 x (sqrt.f64 -1)))))
(/.f64 1 x)
(+.f64 (*.f64 -1/2 x) (/.f64 1 x))
(+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 -1/8 (pow.f64 x 3)) (/.f64 1 x)))
(+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 -1/8 (pow.f64 x 3)) (+.f64 (*.f64 -1/16 (pow.f64 x 5)) (/.f64 1 x))))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(-.f64 (+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) (sqrt.f64 -1))))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)))))
(-.f64 (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5)))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) (sqrt.f64 -1)))))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)))))
(*.f64 -1 (sqrt.f64 -1))
(-.f64 (*.f64 -1 (sqrt.f64 -1)) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(-.f64 (+.f64 (*.f64 -1 (sqrt.f64 -1)) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(-.f64 (+.f64 (*.f64 -1 (sqrt.f64 -1)) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))))) (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5)))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) (sqrt.f64 -1))))))
(+.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 0)
(+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(+.f64 (neg.f64 (log.f64 x)) (log.f64 (+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1)))
(+.f64 0 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(+.f64 (*.f64 1/3 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (*.f64 2 (*.f64 1/3 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))))
(+.f64 (log.f64 (fma.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2) (pow.f64 x -3) (pow.f64 x -3))) (log.f64 (/.f64 1 (-.f64 (+.f64 (pow.f64 x -2) (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2))) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (*.f64 x x))))))
(+.f64 (log.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) (*.f64 -2 (log.f64 x)))
(+.f64 (*.f64 2 (*.f64 1/3 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))) (*.f64 1/3 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(+.f64 (log.f64 (/.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) x)) (log.f64 (/.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) x)))
(+.f64 (log.f64 (-.f64 (pow.f64 x -2) (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2)))) (log.f64 (/.f64 1 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))))
(+.f64 (log.f64 (+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1)) (neg.f64 (log.f64 x)))
(-.f64 0 (log.f64 (/.f64 (*.f64 x x) (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x))))
(-.f64 0 (log.f64 (/.f64 (-.f64 (+.f64 (pow.f64 x -2) (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2))) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (*.f64 x x))) (fma.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2) (pow.f64 x -3) (pow.f64 x -3)))))
(-.f64 0 (log.f64 (/.f64 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) (-.f64 (pow.f64 x -2) (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2))))))
(-.f64 (log.f64 (fma.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2) (pow.f64 x -3) (pow.f64 x -3))) (log.f64 (-.f64 (+.f64 (pow.f64 x -2) (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2))) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (*.f64 x x)))))
(-.f64 (log.f64 (fma.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2) (pow.f64 x -3) (pow.f64 x -3))) (log.f64 (fma.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2) (-.f64 (pow.f64 x -2) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (*.f64 x x))))))
(-.f64 (log.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) (*.f64 2 (log.f64 x)))
(-.f64 (log.f64 (-.f64 (pow.f64 x -2) (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2)))) (log.f64 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))) 1)
(-.f64 (log.f64 (+.f64 (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)) (log.f64 (*.f64 x (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(-.f64 (log.f64 (fma.f64 -1 x (*.f64 x (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))) (log.f64 (*.f64 x (neg.f64 x))))
(-.f64 (log.f64 (fma.f64 -1 (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))) (*.f64 (neg.f64 x) 1))) (log.f64 (*.f64 (neg.f64 x) (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(-.f64 (log.f64 (fma.f64 -1 x (*.f64 (neg.f64 x) (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (log.f64 (*.f64 x (neg.f64 x))))
(-.f64 (log.f64 (fma.f64 -1 (neg.f64 x) (*.f64 (neg.f64 x) (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))) (log.f64 (pow.f64 (neg.f64 x) 2)))
(-.f64 (log.f64 (+.f64 x (*.f64 (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))) 1))) (log.f64 (*.f64 (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
(-.f64 (log.f64 (fma.f64 -1 x (*.f64 (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))) -1))) (log.f64 (*.f64 (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))) (neg.f64 x))))
(-.f64 (log.f64 (fma.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (neg.f64 x) (*.f64 x -1))) (log.f64 (*.f64 x (neg.f64 x))))
(-.f64 (log.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x (*.f64 (neg.f64 x) 1))) (log.f64 (*.f64 x (neg.f64 x))))
(-.f64 (log.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (neg.f64 x) (*.f64 (neg.f64 x) -1))) (log.f64 (pow.f64 (neg.f64 x) 2)))
(-.f64 (log.f64 (neg.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x))) (log.f64 (*.f64 x (neg.f64 x))))
(-.f64 (log.f64 (neg.f64 (fma.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2) (pow.f64 x -3) (pow.f64 x -3)))) (log.f64 (neg.f64 (-.f64 (+.f64 (pow.f64 x -2) (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2))) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (*.f64 x x))))))
(-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 x -2) (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2))))) (log.f64 (neg.f64 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))))
(-.f64 (log.f64 (-.f64 (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2)) (pow.f64 x -2))) (log.f64 (-.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (/.f64 1 x))))
(-.f64 (log.f64 (/.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x) 1)) (*.f64 2 (log.f64 x)))
(-.f64 (log.f64 (/.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x) x)) (log.f64 x))
(-.f64 (log.f64 (/.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (*.f64 (cbrt.f64 x) x))) (*.f64 2 (log.f64 (cbrt.f64 x))))
(*.f64 1 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(*.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 1)
(*.f64 (cbrt.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (pow.f64 (cbrt.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) 2) (cbrt.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(*.f64 (sqrt.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (sqrt.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(*.f64 2 (log.f64 (/.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) x)))
(*.f64 3 (*.f64 1/3 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(*.f64 1/3 (*.f64 3 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(pow.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 1)
(pow.f64 (cbrt.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) 3)
(pow.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) 2)
(neg.f64 (log.f64 (/.f64 (*.f64 x x) (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x))))
(neg.f64 (log.f64 (/.f64 (-.f64 (+.f64 (pow.f64 x -2) (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2))) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (*.f64 x x))) (fma.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2) (pow.f64 x -3) (pow.f64 x -3)))))
(neg.f64 (log.f64 (/.f64 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) (-.f64 (pow.f64 x -2) (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2))))))
(sqrt.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 2))
(cbrt.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 3))
(expm1.f64 (log1p.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(exp.f64 (log.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(exp.f64 (*.f64 (log.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))) 2))
(log1p.f64 (fma.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1) -1))
(+.f64 0 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))) (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))) 1)
(*.f64 1 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
(*.f64 (/.f64 1 x) (sqrt.f64 (-.f64 1 (*.f64 x x))))
(*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (/.f64 1 x))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) 1)
(*.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (/.f64 1 x)))
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) (cbrt.f64 (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2))))
(*.f64 (cbrt.f64 (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2))) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) (/.f64 1 x)))
(*.f64 (pow.f64 x -1/2) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 x)))
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(*.f64 (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (pow.f64 (neg.f64 x) -1))
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 x x))) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (cbrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 1) (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) (cbrt.f64 (*.f64 x x))) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 x)) (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) 1) (/.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) x))
(*.f64 (/.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) (cbrt.f64 (*.f64 x x))) (/.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) (cbrt.f64 x)))
(*.f64 (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 (/.f64 1 x)))
(*.f64 (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (pow.f64 x -1/2)) (pow.f64 x -1/2))
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) 1)
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) 3)
(pow.f64 (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2)) 1/2)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) 2)
(pow.f64 (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))) -1)
(pow.f64 (/.f64 (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))) 1) -1)
(pow.f64 (*.f64 (cbrt.f64 (/.f64 1 x)) (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 3)
(pow.f64 (*.f64 (pow.f64 x -1/2) (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) 2)
(pow.f64 (*.f64 (pow.f64 x -3) (pow.f64 (-.f64 1 (*.f64 x x)) 3/2)) 1/3)
(neg.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (neg.f64 x)))
(sqrt.f64 (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2)))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) 3))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(exp.f64 (log.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) 3)) 1/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) 3) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))))) -1))
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
Outputs
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(-.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 x)) (*.f64 -1/4 (pow.f64 x 2))))
(+.f64 (log.f64 2) (fma.f64 -1 (log.f64 x) (*.f64 -1/4 (*.f64 x x))))
(+.f64 (*.f64 x (*.f64 x -1/4)) (-.f64 (log.f64 2) (log.f64 x)))
(+.f64 (log.f64 2) (-.f64 (*.f64 x (*.f64 x -1/4)) (log.f64 x)))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 x)) (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (*.f64 -3/32 (pow.f64 x 4)))))
(+.f64 (log.f64 2) (fma.f64 -1 (log.f64 x) (fma.f64 -1/4 (*.f64 x x) (*.f64 -3/32 (pow.f64 x 4)))))
(+.f64 (log.f64 2) (-.f64 (fma.f64 -1/4 (*.f64 x x) (*.f64 -3/32 (pow.f64 x 4))) (log.f64 x)))
(+.f64 (fma.f64 -1/4 (*.f64 x x) (*.f64 -3/32 (pow.f64 x 4))) (-.f64 (log.f64 2) (log.f64 x)))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 x)) (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (+.f64 (*.f64 -3/32 (pow.f64 x 4)) (*.f64 -5/96 (pow.f64 x 6))))))
(+.f64 (log.f64 2) (fma.f64 -1 (log.f64 x) (fma.f64 -1/4 (*.f64 x x) (fma.f64 -3/32 (pow.f64 x 4) (*.f64 -5/96 (pow.f64 x 6))))))
(+.f64 (log.f64 2) (-.f64 (fma.f64 -1/4 (*.f64 x x) (fma.f64 -3/32 (pow.f64 x 4) (*.f64 -5/96 (pow.f64 x 6)))) (log.f64 x)))
(+.f64 (fma.f64 -1/4 (*.f64 x x) (fma.f64 -5/96 (pow.f64 x 6) (*.f64 -3/32 (pow.f64 x 4)))) (-.f64 (log.f64 2) (log.f64 x)))
(log.f64 (sqrt.f64 -1))
(+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 1 (*.f64 x (sqrt.f64 -1))))
(+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 (/.f64 1 (sqrt.f64 -1)) x))
(-.f64 (+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 1 (*.f64 x (sqrt.f64 -1)))) (*.f64 1/6 (/.f64 1 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3)))))
(+.f64 (log.f64 (sqrt.f64 -1)) (-.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (/.f64 1/6 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3)))))
(+.f64 (log.f64 (sqrt.f64 -1)) (+.f64 (/.f64 (/.f64 1 (sqrt.f64 -1)) x) (/.f64 -1/6 (*.f64 (pow.f64 x 3) (neg.f64 (sqrt.f64 -1))))))
(+.f64 (log.f64 (sqrt.f64 -1)) (+.f64 (/.f64 (/.f64 1 (sqrt.f64 -1)) x) (/.f64 -1/6 (*.f64 (sqrt.f64 -1) (neg.f64 (pow.f64 x 3))))))
(-.f64 (+.f64 (log.f64 (sqrt.f64 -1)) (+.f64 (*.f64 3/40 (/.f64 1 (*.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5)))) (/.f64 1 (*.f64 x (sqrt.f64 -1))))) (*.f64 1/6 (/.f64 1 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3)))))
(-.f64 (+.f64 (+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 3/40 (*.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5)))) (/.f64 1 (*.f64 x (sqrt.f64 -1)))) (/.f64 1/6 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))))
(+.f64 (+.f64 (/.f64 (/.f64 1 (sqrt.f64 -1)) x) (/.f64 (/.f64 3/40 (pow.f64 x 5)) (pow.f64 (sqrt.f64 -1) 5))) (+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 -1/6 (*.f64 (pow.f64 x 3) (neg.f64 (sqrt.f64 -1))))))
(+.f64 (log.f64 (sqrt.f64 -1)) (+.f64 (/.f64 3/40 (*.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5))) (+.f64 (/.f64 (/.f64 1 (sqrt.f64 -1)) x) (/.f64 -1/6 (*.f64 (sqrt.f64 -1) (neg.f64 (pow.f64 x 3)))))))
(log.f64 (*.f64 -1 (sqrt.f64 -1)))
(log.f64 (neg.f64 (sqrt.f64 -1)))
(-.f64 (log.f64 (*.f64 -1 (sqrt.f64 -1))) (/.f64 1 (*.f64 x (sqrt.f64 -1))))
(-.f64 (log.f64 (neg.f64 (sqrt.f64 -1))) (/.f64 1 (*.f64 x (sqrt.f64 -1))))
(-.f64 (log.f64 (neg.f64 (sqrt.f64 -1))) (/.f64 (/.f64 1 (sqrt.f64 -1)) x))
(+.f64 (log.f64 (neg.f64 (sqrt.f64 -1))) (/.f64 -1 (*.f64 x (sqrt.f64 -1))))
(-.f64 (+.f64 (log.f64 (*.f64 -1 (sqrt.f64 -1))) (*.f64 1/6 (/.f64 1 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))))) (/.f64 1 (*.f64 x (sqrt.f64 -1))))
(+.f64 (log.f64 (neg.f64 (sqrt.f64 -1))) (-.f64 (/.f64 1/6 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))) (/.f64 1 (*.f64 x (sqrt.f64 -1)))))
(+.f64 (/.f64 1/6 (*.f64 (pow.f64 x 3) (neg.f64 (sqrt.f64 -1)))) (-.f64 (log.f64 (neg.f64 (sqrt.f64 -1))) (/.f64 (/.f64 1 (sqrt.f64 -1)) x)))
(+.f64 (/.f64 1/6 (*.f64 (sqrt.f64 -1) (neg.f64 (pow.f64 x 3)))) (+.f64 (log.f64 (neg.f64 (sqrt.f64 -1))) (/.f64 -1 (*.f64 x (sqrt.f64 -1)))))
(-.f64 (+.f64 (log.f64 (*.f64 -1 (sqrt.f64 -1))) (*.f64 1/6 (/.f64 1 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))))) (+.f64 (*.f64 3/40 (/.f64 1 (*.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5)))) (/.f64 1 (*.f64 x (sqrt.f64 -1)))))
(-.f64 (+.f64 (/.f64 1/6 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))) (log.f64 (neg.f64 (sqrt.f64 -1)))) (+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (/.f64 3/40 (*.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5)))))
(+.f64 (/.f64 1/6 (*.f64 (pow.f64 x 3) (neg.f64 (sqrt.f64 -1)))) (-.f64 (log.f64 (neg.f64 (sqrt.f64 -1))) (+.f64 (/.f64 (/.f64 1 (sqrt.f64 -1)) x) (/.f64 (/.f64 3/40 (pow.f64 x 5)) (pow.f64 (sqrt.f64 -1) 5)))))
(+.f64 (log.f64 (neg.f64 (sqrt.f64 -1))) (+.f64 (/.f64 1/6 (*.f64 (sqrt.f64 -1) (neg.f64 (pow.f64 x 3)))) (+.f64 (/.f64 -1 (*.f64 x (sqrt.f64 -1))) (/.f64 -3/40 (*.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5))))))
(/.f64 1 x)
(+.f64 (*.f64 -1/2 x) (/.f64 1 x))
(fma.f64 -1/2 x (/.f64 1 x))
(fma.f64 x -1/2 (/.f64 1 x))
(+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 -1/8 (pow.f64 x 3)) (/.f64 1 x)))
(fma.f64 -1/2 x (fma.f64 -1/8 (pow.f64 x 3) (/.f64 1 x)))
(fma.f64 x -1/2 (fma.f64 (pow.f64 x 3) -1/8 (/.f64 1 x)))
(+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 -1/8 (pow.f64 x 3)) (+.f64 (*.f64 -1/16 (pow.f64 x 5)) (/.f64 1 x))))
(fma.f64 -1/2 x (fma.f64 -1/8 (pow.f64 x 3) (fma.f64 -1/16 (pow.f64 x 5) (/.f64 1 x))))
(fma.f64 x -1/2 (fma.f64 (pow.f64 x 3) -1/8 (fma.f64 (pow.f64 x 5) -1/16 (/.f64 1 x))))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(+.f64 (sqrt.f64 -1) (/.f64 1/2 (*.f64 (sqrt.f64 -1) (*.f64 x x))))
(+.f64 (sqrt.f64 -1) (/.f64 1/2 (*.f64 x (*.f64 x (sqrt.f64 -1)))))
(-.f64 (+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) (sqrt.f64 -1))))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)))))
(-.f64 (+.f64 (sqrt.f64 -1) (/.f64 1/2 (*.f64 (sqrt.f64 -1) (*.f64 x x)))) (/.f64 1/8 (*.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))))
(+.f64 (/.f64 1/2 (*.f64 x (*.f64 x (sqrt.f64 -1)))) (+.f64 (sqrt.f64 -1) (/.f64 -1/8 (*.f64 (pow.f64 x 4) (neg.f64 (sqrt.f64 -1))))))
(+.f64 (sqrt.f64 -1) (-.f64 (/.f64 1/2 (*.f64 x (*.f64 x (sqrt.f64 -1)))) (/.f64 1/8 (*.f64 (pow.f64 x 4) (neg.f64 (sqrt.f64 -1))))))
(-.f64 (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5)))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) (sqrt.f64 -1)))))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)))))
(+.f64 (sqrt.f64 -1) (-.f64 (+.f64 (/.f64 1/2 (*.f64 (sqrt.f64 -1) (*.f64 x x))) (/.f64 1/16 (*.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5)))) (/.f64 1/8 (*.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)))))
(+.f64 (+.f64 (/.f64 1/2 (*.f64 x (*.f64 x (sqrt.f64 -1)))) (/.f64 1/16 (*.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5)))) (+.f64 (sqrt.f64 -1) (/.f64 -1/8 (*.f64 (pow.f64 x 4) (neg.f64 (sqrt.f64 -1))))))
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1/2 (*.f64 x (*.f64 x (sqrt.f64 -1)))) (+.f64 (/.f64 1/16 (*.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5))) (/.f64 -1/8 (*.f64 (pow.f64 x 4) (neg.f64 (sqrt.f64 -1)))))))
(*.f64 -1 (sqrt.f64 -1))
(neg.f64 (sqrt.f64 -1))
(-.f64 (*.f64 -1 (sqrt.f64 -1)) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(-.f64 (neg.f64 (sqrt.f64 -1)) (/.f64 1/2 (*.f64 (sqrt.f64 -1) (*.f64 x x))))
(fma.f64 -1 (sqrt.f64 -1) (/.f64 -1/2 (*.f64 x (*.f64 x (sqrt.f64 -1)))))
(-.f64 (/.f64 -1/2 (*.f64 x (*.f64 x (sqrt.f64 -1)))) (sqrt.f64 -1))
(-.f64 (+.f64 (*.f64 -1 (sqrt.f64 -1)) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(-.f64 (fma.f64 -1 (sqrt.f64 -1) (/.f64 1/8 (*.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)))) (/.f64 1/2 (*.f64 (sqrt.f64 -1) (*.f64 x x))))
(+.f64 (-.f64 (/.f64 1/8 (*.f64 (pow.f64 x 4) (neg.f64 (sqrt.f64 -1)))) (sqrt.f64 -1)) (/.f64 -1/2 (*.f64 x (*.f64 x (sqrt.f64 -1)))))
(+.f64 (/.f64 1/8 (*.f64 (pow.f64 x 4) (neg.f64 (sqrt.f64 -1)))) (-.f64 (/.f64 -1/2 (*.f64 x (*.f64 x (sqrt.f64 -1)))) (sqrt.f64 -1)))
(-.f64 (+.f64 (*.f64 -1 (sqrt.f64 -1)) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))))) (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5)))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) (sqrt.f64 -1))))))
(-.f64 (fma.f64 -1 (sqrt.f64 -1) (/.f64 1/8 (*.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)))) (+.f64 (/.f64 1/2 (*.f64 (sqrt.f64 -1) (*.f64 x x))) (/.f64 1/16 (*.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5)))))
(-.f64 (+.f64 (-.f64 (/.f64 1/8 (*.f64 (pow.f64 x 4) (neg.f64 (sqrt.f64 -1)))) (sqrt.f64 -1)) (/.f64 -1/2 (*.f64 x (*.f64 x (sqrt.f64 -1))))) (/.f64 1/16 (*.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5))))
(-.f64 (+.f64 (/.f64 1/8 (*.f64 (pow.f64 x 4) (neg.f64 (sqrt.f64 -1)))) (-.f64 (/.f64 -1/2 (*.f64 x (*.f64 x (sqrt.f64 -1)))) (sqrt.f64 -1))) (/.f64 1/16 (*.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5))))
(+.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 0)
(+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(+.f64 (neg.f64 (log.f64 x)) (log.f64 (+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1)))
(+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(+.f64 0 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(+.f64 (*.f64 1/3 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (*.f64 2 (*.f64 1/3 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))))
(+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(+.f64 (log.f64 (fma.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2) (pow.f64 x -3) (pow.f64 x -3))) (log.f64 (/.f64 1 (-.f64 (+.f64 (pow.f64 x -2) (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2))) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (*.f64 x x))))))
(-.f64 (log.f64 (fma.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2) (pow.f64 x -3) (pow.f64 x -3))) (log.f64 (-.f64 (*.f64 (+.f64 (-.f64 1 (*.f64 x x)) 1) (pow.f64 x -2)) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (*.f64 x x)))))
(-.f64 (log.f64 (*.f64 (+.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2) 1) (pow.f64 x -3))) (log.f64 (-.f64 (*.f64 (pow.f64 x -2) (+.f64 1 (-.f64 1 (*.f64 x x)))) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (*.f64 x x)))))
(-.f64 (log.f64 (*.f64 (+.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2) 1) (pow.f64 x -3))) (log.f64 (-.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (fma.f64 x x -1))) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (*.f64 x x)))))
(+.f64 (log.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) (*.f64 -2 (log.f64 x)))
(+.f64 (log.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) (*.f64 (log.f64 x) -2))
(fma.f64 (log.f64 x) -2 (log.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(+.f64 (*.f64 2 (*.f64 1/3 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))) (*.f64 1/3 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(+.f64 (log.f64 (/.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) x)) (log.f64 (/.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) x)))
(*.f64 2 (log.f64 (/.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) x)))
(+.f64 (log.f64 (-.f64 (pow.f64 x -2) (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2)))) (log.f64 (/.f64 1 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))))
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(+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(pow.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 2) 1/2)
(+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(pow.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 3) 1/3)
(+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(pow.f64 (sqrt.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) 2)
(+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(neg.f64 (log.f64 (/.f64 (*.f64 x x) (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x))))
(+.f64 (log.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) (*.f64 (log.f64 x) -2))
(fma.f64 (log.f64 x) -2 (log.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(neg.f64 (log.f64 (/.f64 (-.f64 (+.f64 (pow.f64 x -2) (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2))) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (*.f64 x x))) (fma.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2) (pow.f64 x -3) (pow.f64 x -3)))))
(-.f64 (log.f64 (fma.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2) (pow.f64 x -3) (pow.f64 x -3))) (log.f64 (-.f64 (*.f64 (+.f64 (-.f64 1 (*.f64 x x)) 1) (pow.f64 x -2)) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (*.f64 x x)))))
(-.f64 (log.f64 (*.f64 (+.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2) 1) (pow.f64 x -3))) (log.f64 (-.f64 (*.f64 (pow.f64 x -2) (+.f64 1 (-.f64 1 (*.f64 x x)))) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (*.f64 x x)))))
(-.f64 (log.f64 (*.f64 (+.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2) 1) (pow.f64 x -3))) (log.f64 (-.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (fma.f64 x x -1))) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (*.f64 x x)))))
(neg.f64 (log.f64 (/.f64 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) (-.f64 (pow.f64 x -2) (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2))))))
(-.f64 (log.f64 (-.f64 (pow.f64 x -2) (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2)))) (log.f64 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
(+.f64 (log.f64 (*.f64 (+.f64 (+.f64 -1 (*.f64 x x)) 1) (pow.f64 x -2))) (log.f64 (/.f64 x (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(+.f64 (log.f64 (*.f64 (+.f64 (fma.f64 x x -1) 1) (pow.f64 x -2))) (log.f64 (/.f64 x (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(sqrt.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 2))
(+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(cbrt.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 3))
(+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(expm1.f64 (log1p.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(exp.f64 (log.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(exp.f64 (*.f64 (log.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) 1))
(+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) 1) 1))
(+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))) 3))
(+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))) 1/3))
(+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))) 2))
(+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(log1p.f64 (fma.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1) -1))
(log1p.f64 (fma.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) -1))
(log1p.f64 (+.f64 -1 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
(+.f64 0 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))) (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))) 1)
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
(*.f64 1 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
(*.f64 (/.f64 1 x) (sqrt.f64 (-.f64 1 (*.f64 x x))))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
(*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (/.f64 1 x))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) 1)
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
(*.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (/.f64 1 x)))
(*.f64 (*.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (/.f64 1 x))
(/.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) (/.f64 x (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) (cbrt.f64 (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2))))
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) (cbrt.f64 (*.f64 (pow.f64 x -2) (neg.f64 (fma.f64 x x -1)))))
(*.f64 (cbrt.f64 (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2))) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) (cbrt.f64 (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2))))
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) (cbrt.f64 (*.f64 (pow.f64 x -2) (neg.f64 (fma.f64 x x -1)))))
(*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) (/.f64 1 x)))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
(*.f64 (pow.f64 x -1/2) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 x)))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (/.f64 (sqrt.f64 x) (pow.f64 x -1/2)))
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
(*.f64 (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (pow.f64 (neg.f64 x) -1))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 x x))) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (cbrt.f64 x)))
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)))
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 1) (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
(*.f64 (*.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (/.f64 1 x))
(/.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) (/.f64 x (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) (cbrt.f64 (*.f64 x x))) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) (/.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) (cbrt.f64 (*.f64 x x))))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 x)) (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) 1) (/.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) x))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
(*.f64 (/.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) (cbrt.f64 (*.f64 x x))) (/.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) (cbrt.f64 x)))
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 x x))) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (cbrt.f64 x)))
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)))
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x))
(*.f64 (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 (/.f64 1 x)))
(*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (*.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 (/.f64 1 x))))
(*.f64 (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (pow.f64 x -1/2)) (pow.f64 x -1/2))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) 1)
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) 3)
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
(pow.f64 (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2)) 1/2)
(sqrt.f64 (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2)))
(sqrt.f64 (*.f64 (pow.f64 x -2) (neg.f64 (fma.f64 x x -1))))
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) 3) 1/3)
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) 2)
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
(pow.f64 (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))) -1)
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
(pow.f64 (/.f64 (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))) 1) -1)
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
(pow.f64 (*.f64 (cbrt.f64 (/.f64 1 x)) (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 3)
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
(pow.f64 (*.f64 (pow.f64 x -1/2) (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) 2)
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
(pow.f64 (*.f64 (pow.f64 x -3) (pow.f64 (-.f64 1 (*.f64 x x)) 3/2)) 1/3)
(cbrt.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2) (pow.f64 x -3)))
(neg.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (neg.f64 x)))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
(sqrt.f64 (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2)))
(sqrt.f64 (*.f64 (pow.f64 x -2) (neg.f64 (fma.f64 x x -1))))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) 3))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
(exp.f64 (log.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) 1))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) 1) 1))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))) 3))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) 3)) 1/3))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) 3) 1/3))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))) 2))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
(exp.f64 (*.f64 (log.f64 (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))))) -1))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)

eval747.0ms (14.6%)

Compiler

Compiled 4634 to 3219 computations (30.5% saved)

prune340.0ms (6.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New2193222
Fresh000
Picked011
Done000
Total2194223
Accuracy
100.0%
Counts
223 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(log.f64 (+.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) 3)))
100.0%
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
99.6%
(log.f64 (+.f64 (/.f64 1 x) (/.f64 1 x)))
99.8%
(log.f64 (+.f64 (/.f64 1 x) (+.f64 (*.f64 -1/2 x) (/.f64 1 x))))
100.0%
(log.f64 (+.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) 3)))
100.0%
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
99.6%
(log.f64 (+.f64 (/.f64 1 x) (/.f64 1 x)))
99.8%
(log.f64 (+.f64 (/.f64 1 x) (+.f64 (*.f64 -1/2 x) (/.f64 1 x))))
Compiler

Compiled 106 to 80 computations (24.5% saved)

localize463.0ms (9%)

Localize:

Found 6 expressions with local error:

NewAccuracyProgram
100.0%
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
100.0%
(log.f64 (+.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) 3)))
99.2%
(cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
98.8%
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) 3)
100.0%
(log.f64 (+.f64 (/.f64 1 x) (/.f64 1 x)))
100.0%
(log.f64 (+.f64 (/.f64 1 x) (+.f64 (*.f64 -1/2 x) (/.f64 1 x))))
Compiler

Compiled 140 to 91 computations (35% saved)

series75.0ms (1.5%)

Counts
5 → 27
Calls

15 calls:

TimeVariablePointExpression
27.0ms
x
@0
(log.f64 (+.f64 (/.f64 1 x) (/.f64 1 x)))
18.0ms
x
@-inf
(log.f64 (+.f64 (/.f64 1 x) (/.f64 1 x)))
8.0ms
x
@inf
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) 3)
6.0ms
x
@inf
(log.f64 (+.f64 (/.f64 1 x) (/.f64 1 x)))
5.0ms
x
@-inf
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) 3)

rewrite156.0ms (3.1%)

Algorithm
batch-egg-rewrite
Rules
772×expm1-udef
766×log1p-udef
476×add-sqr-sqrt
458×pow1
456×*-un-lft-identity
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
022137
1490123
26873123
Stop Event
node limit
Counts
5 → 141
Calls
Call 1
Inputs
(log.f64 (+.f64 (/.f64 1 x) (+.f64 (*.f64 -1/2 x) (/.f64 1 x))))
(log.f64 (+.f64 (/.f64 1 x) (/.f64 1 x)))
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) 3)
(cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
(log.f64 (+.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) 3)))
Outputs
(+.f64 0 (log.f64 (+.f64 (*.f64 x -1/2) (/.f64 0 0))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x -1/2) (/.f64 0 0)))) (log.f64 (sqrt.f64 (+.f64 (*.f64 x -1/2) (/.f64 0 0)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 x -1/2) (/.f64 0 0))) 2)) (log.f64 (cbrt.f64 (+.f64 (*.f64 x -1/2) (/.f64 0 0)))))
(-.f64 (log.f64 (-.f64 (pow.f64 x -2) (pow.f64 (fma.f64 x -1/2 (/.f64 1 x)) 2))) (log.f64 (-.f64 0 (*.f64 x -1/2))))
(-.f64 (log.f64 (+.f64 (pow.f64 (fma.f64 x -1/2 (/.f64 1 x)) 3) (pow.f64 x -3))) (log.f64 (-.f64 (+.f64 (pow.f64 x -2) (pow.f64 (fma.f64 x -1/2 (/.f64 1 x)) 2)) (/.f64 (fma.f64 x -1/2 (/.f64 1 x)) x))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 (*.f64 x -1/2) (/.f64 0 0))))) 1)
(*.f64 1 (log.f64 (+.f64 (*.f64 x -1/2) (/.f64 0 0))))
(*.f64 (log.f64 (+.f64 (*.f64 x -1/2) (/.f64 0 0))) 1)
(*.f64 (cbrt.f64 (log.f64 (+.f64 (*.f64 x -1/2) (/.f64 0 0)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 (*.f64 x -1/2) (/.f64 0 0)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (*.f64 x -1/2) (/.f64 0 0)))) 2) (cbrt.f64 (log.f64 (+.f64 (*.f64 x -1/2) (/.f64 0 0)))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 (*.f64 x -1/2) (/.f64 0 0)))) (sqrt.f64 (log.f64 (+.f64 (*.f64 x -1/2) (/.f64 0 0)))))
(pow.f64 (log.f64 (+.f64 (*.f64 x -1/2) (/.f64 0 0))) 1)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 (*.f64 x -1/2) (/.f64 0 0)))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 (*.f64 x -1/2) (/.f64 0 0))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 (*.f64 x -1/2) (/.f64 0 0)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (+.f64 (*.f64 x -1/2) (/.f64 0 0))) 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 (*.f64 x -1/2) (/.f64 0 0))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 (*.f64 x -1/2) (/.f64 0 0)))))
(exp.f64 (log.f64 (log.f64 (+.f64 (*.f64 x -1/2) (/.f64 0 0)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 (*.f64 x -1/2) (/.f64 0 0)))) 1))
(log1p.f64 (-.f64 (+.f64 (*.f64 x -1/2) (/.f64 0 0)) 1))
(+.f64 (log.f64 (/.f64 0 0)) (log.f64 (/.f64 0 0)))
(+.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(+.f64 0 (log.f64 (/.f64 0 0)))
(-.f64 (log.f64 (*.f64 2 (pow.f64 x -3))) (log.f64 (+.f64 0 (pow.f64 x -2))))
(-.f64 (log.f64 0) (log.f64 0))
(-.f64 (log.f64 (+.f64 x x)) (*.f64 2 (log.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 0 0)))) 1)
(*.f64 1 (log.f64 (/.f64 0 0)))
(*.f64 (log.f64 (/.f64 0 0)) 1)
(*.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 2) (cbrt.f64 (log.f64 (/.f64 0 0))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 0 0))) (sqrt.f64 (log.f64 (/.f64 0 0))))
(pow.f64 (log.f64 (/.f64 0 0)) 1)
(pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 3)
(pow.f64 (pow.f64 (log.f64 (/.f64 0 0)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 0 0))) 2)
(sqrt.f64 (pow.f64 (log.f64 (/.f64 0 0)) 2))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 0 0)) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 0 0))))
(exp.f64 (log.f64 (log.f64 (/.f64 0 0))))
(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 0 0))) 1))
(log1p.f64 (-.f64 (/.f64 0 0) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))) 1)
(*.f64 1 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
(*.f64 (/.f64 1 x) (sqrt.f64 (-.f64 1 (*.f64 x x))))
(*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (/.f64 1 x))
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) (cbrt.f64 (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) 1)
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2)))) (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))) (cbrt.f64 (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2)))))
(*.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (/.f64 1 x)))
(*.f64 (cbrt.f64 (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2))) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) 1/6) (*.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) 1/6) (cbrt.f64 (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2)))))
(*.f64 (pow.f64 x -1/2) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 x)))
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) (/.f64 1 x)))
(*.f64 (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (/.f64 1 (neg.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2)))) 3) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(*.f64 (pow.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) 1/6) 3) (pow.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) 1/6) 3))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (cbrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 1) (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 x)) (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) 1) (/.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) x))
(*.f64 (/.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) (cbrt.f64 x)))
(*.f64 (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x)))
(*.f64 (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (pow.f64 x -1/2)) (pow.f64 x -1/2))
(*.f64 (*.f64 (cbrt.f64 (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2))) 1) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(*.f64 (*.f64 (cbrt.f64 (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2))) (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2))))) (cbrt.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))))
(*.f64 (*.f64 (cbrt.f64 (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2))) (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) 1/6)) (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) 1/6))
(/.f64 1 (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(/.f64 1 (/.f64 (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))) 1))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
(/.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) (/.f64 x (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(/.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) (/.f64 x (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)))
(/.f64 -1 (neg.f64 (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (neg.f64 x))
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (neg.f64 (neg.f64 x)))
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) -1) (neg.f64 x))
(/.f64 (*.f64 (cbrt.f64 (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2))) (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (cbrt.f64 x))
(/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2)))) (cbrt.f64 x))
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1) x)
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(neg.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (neg.f64 x)))
(sqrt.f64 (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2)))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) 3))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(exp.f64 (log.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) 1))
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))) 1)
(*.f64 1 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) 1)
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))) (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2)))))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))) (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2))) 1/3))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2)))) (cbrt.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))))
(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (/.f64 1 (cbrt.f64 x)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) 1/6) (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) 1/6))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2))) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) 1/3) (pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) 1/3))
(/.f64 1 (cbrt.f64 (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(/.f64 1 (/.f64 (cbrt.f64 x) (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(/.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 x))
(/.f64 (cbrt.f64 (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (cbrt.f64 (neg.f64 x)))
(/.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (neg.f64 (cbrt.f64 x)))
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) 1)
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) 1/3)
(pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))) 3)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) 1/6) 2)
(sqrt.f64 (cbrt.f64 (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2))))
(log.f64 (exp.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))))
(exp.f64 (log.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))) 1))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) 1/3))
(log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))))
(+.f64 0 (log.f64 (*.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1))))
(+.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1)))) (log.f64 (sqrt.f64 (*.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1)))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1)) 2))) (log.f64 (cbrt.f64 (*.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1)))))
(-.f64 (log.f64 (+.f64 (pow.f64 x -3) (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) 3))) (log.f64 (-.f64 (+.f64 (pow.f64 x -2) (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2))) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (*.f64 x x)))))
(-.f64 (log.f64 (-.f64 (pow.f64 x -2) (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2)))) (log.f64 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (*.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1))))) 1)
(*.f64 1 (log.f64 (*.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1))))
(*.f64 (log.f64 (*.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1))) 1)
(*.f64 (cbrt.f64 (log.f64 (*.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1)))) (pow.f64 (cbrt.f64 (log.f64 (*.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1)))) 2) (cbrt.f64 (log.f64 (*.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1)))))
(*.f64 (sqrt.f64 (log.f64 (*.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1)))) (sqrt.f64 (log.f64 (*.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1)))))
(pow.f64 (log.f64 (*.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1))) 1)
(pow.f64 (cbrt.f64 (log.f64 (*.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1)))) 3)
(pow.f64 (pow.f64 (log.f64 (*.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (*.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (*.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1))) 2))
(cbrt.f64 (pow.f64 (log.f64 (*.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1))) 3))
(expm1.f64 (log1p.f64 (log.f64 (*.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1)))))
(exp.f64 (log.f64 (log.f64 (*.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (*.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1)))) 1))
(log1p.f64 (-.f64 (*.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1)) 1))

simplify124.0ms (2.4%)

Algorithm
egg-herbie
Rules
94×*-commutative
82×sqr-pow
60×+-commutative
56×sub-neg
32×associate-*r/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03825178
19395178
Stop Event
unsound
Counts
168 → 219
Calls
Call 1
Inputs
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 x)) (*.f64 -1/4 (pow.f64 x 2))))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 x)) (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (*.f64 -1/32 (pow.f64 x 4)))))
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(cbrt.f64 (pow.f64 (log.f64 (*.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1))) 3))
(expm1.f64 (log1p.f64 (log.f64 (*.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1)))))
(exp.f64 (log.f64 (log.f64 (*.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (*.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1)))) 1))
(log1p.f64 (-.f64 (*.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1)) 1))
Outputs
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(neg.f64 (log.f64 x))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 x)) (*.f64 -1/4 (pow.f64 x 2))))
(fma.f64 -2 (log.f64 x) (*.f64 -1/4 (*.f64 x x)))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 x)) (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (*.f64 -1/32 (pow.f64 x 4)))))
(fma.f64 -2 (log.f64 x) (fma.f64 -1/4 (*.f64 x x) (*.f64 (*.f64 x x) -1/32)))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 x)) (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (+.f64 (*.f64 -1/32 (pow.f64 x 4)) (*.f64 -1/192 (pow.f64 x 6))))))
(fma.f64 -2 (log.f64 x) (fma.f64 -1/4 (*.f64 x x) (fma.f64 -1/32 (*.f64 x x) (*.f64 (*.f64 x x) -1/192))))
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 -1/2) (neg.f64 (neg.f64 (log.f64 x))))
(-.f64 (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 1 x)))) (*.f64 4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 -1/2) (-.f64 (neg.f64 (neg.f64 (log.f64 x))) (/.f64 4 (*.f64 x x))))
(-.f64 (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) (*.f64 8 (/.f64 1 (pow.f64 x 4)))))
(+.f64 (log.f64 -1/2) (-.f64 (neg.f64 (neg.f64 (log.f64 x))) (+.f64 (/.f64 4 (*.f64 x x)) (/.f64 8 (*.f64 x x)))))
(-.f64 (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 4))) (*.f64 64/3 (/.f64 1 (pow.f64 x 6))))))
(-.f64 (+.f64 (log.f64 -1/2) (neg.f64 (neg.f64 (log.f64 x)))) (+.f64 (/.f64 4 (*.f64 x x)) (+.f64 (/.f64 8 (*.f64 x x)) (/.f64 64/3 (*.f64 x x)))))
(+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 0 (neg.f64 (log.f64 (/.f64 -2 x))))
(-.f64 (+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 (/.f64 -1 x)))) (*.f64 4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 0 (neg.f64 (log.f64 (/.f64 -2 x)))) (/.f64 4 (*.f64 x x)))
(-.f64 (+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 (/.f64 -1 x)))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) (*.f64 8 (/.f64 1 (pow.f64 x 4)))))
(-.f64 (+.f64 0 (neg.f64 (log.f64 (/.f64 -2 x)))) (+.f64 (/.f64 4 (*.f64 x x)) (/.f64 8 (*.f64 x x))))
(-.f64 (+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 (/.f64 -1 x)))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 4))) (*.f64 64/3 (/.f64 1 (pow.f64 x 6))))))
(+.f64 0 (-.f64 (neg.f64 (log.f64 (/.f64 -2 x))) (+.f64 (/.f64 4 (*.f64 x x)) (+.f64 (/.f64 8 (*.f64 x x)) (/.f64 64/3 (*.f64 x x))))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(neg.f64 (log.f64 x))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(neg.f64 (log.f64 x))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(neg.f64 (log.f64 x))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(neg.f64 (log.f64 x))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(neg.f64 (log.f64 x))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(neg.f64 (log.f64 x))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(neg.f64 (log.f64 x))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(neg.f64 (log.f64 x))
(+.f64 (log.f64 -2) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 (/.f64 -2 x)) (log.f64 -2))
(+.f64 (log.f64 -2) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 (/.f64 -2 x)) (log.f64 -2))
(+.f64 (log.f64 -2) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 (/.f64 -2 x)) (log.f64 -2))
(+.f64 (log.f64 -2) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 (/.f64 -2 x)) (log.f64 -2))
(*.f64 -1 (log.f64 x))
(neg.f64 (log.f64 x))
(log.f64 (/.f64 1 x))
(neg.f64 (log.f64 x))
(+.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 (/.f64 -2 x)) (log.f64 -2))
(+.f64 0 (log.f64 (+.f64 (*.f64 x -1/2) (/.f64 0 0))))
(log.f64 (fma.f64 x -1/2 0))
(+.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x -1/2) (/.f64 0 0)))) (log.f64 (sqrt.f64 (+.f64 (*.f64 x -1/2) (/.f64 0 0)))))
(*.f64 0 (log.f64 (sqrt.f64 (fma.f64 x -1/2 0))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 x -1/2) (/.f64 0 0))) 2)) (log.f64 (cbrt.f64 (+.f64 (*.f64 x -1/2) (/.f64 0 0)))))
(+.f64 (*.f64 0 (log.f64 (cbrt.f64 (fma.f64 x -1/2 0)))) (log.f64 (cbrt.f64 (fma.f64 x -1/2 0))))
(-.f64 (log.f64 (-.f64 (pow.f64 x -2) (pow.f64 (fma.f64 x -1/2 (/.f64 1 x)) 2))) (log.f64 (-.f64 0 (*.f64 x -1/2))))
(-.f64 (log.f64 (-.f64 (pow.f64 x -2) (pow.f64 (fma.f64 x -1/2 (/.f64 0 x)) 0))) (log.f64 (neg.f64 (*.f64 x -1/2))))
(-.f64 (log.f64 (+.f64 (pow.f64 (fma.f64 x -1/2 (/.f64 1 x)) 3) (pow.f64 x -3))) (log.f64 (-.f64 (+.f64 (pow.f64 x -2) (pow.f64 (fma.f64 x -1/2 (/.f64 1 x)) 2)) (/.f64 (fma.f64 x -1/2 (/.f64 1 x)) x))))
(-.f64 (log.f64 (+.f64 (pow.f64 (fma.f64 x -1/2 (/.f64 0 x)) 0) (pow.f64 x -3))) (log.f64 (+.f64 (pow.f64 x -2) (-.f64 (pow.f64 (fma.f64 x -1/2 (/.f64 0 x)) 0) (/.f64 (fma.f64 x -1/2 (/.f64 0 x)) x)))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 (*.f64 x -1/2) (/.f64 0 0))))) 1)
(log.f64 (fma.f64 x -1/2 0))
(*.f64 1 (log.f64 (+.f64 (*.f64 x -1/2) (/.f64 0 0))))
(log.f64 (fma.f64 x -1/2 0))
(*.f64 (log.f64 (+.f64 (*.f64 x -1/2) (/.f64 0 0))) 1)
(log.f64 (fma.f64 x -1/2 0))
(*.f64 (cbrt.f64 (log.f64 (+.f64 (*.f64 x -1/2) (/.f64 0 0)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 (*.f64 x -1/2) (/.f64 0 0)))) 2))
(log.f64 (fma.f64 x -1/2 0))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (*.f64 x -1/2) (/.f64 0 0)))) 2) (cbrt.f64 (log.f64 (+.f64 (*.f64 x -1/2) (/.f64 0 0)))))
(log.f64 (fma.f64 x -1/2 0))
(*.f64 (sqrt.f64 (log.f64 (+.f64 (*.f64 x -1/2) (/.f64 0 0)))) (sqrt.f64 (log.f64 (+.f64 (*.f64 x -1/2) (/.f64 0 0)))))
(log.f64 (fma.f64 x -1/2 0))
(pow.f64 (log.f64 (+.f64 (*.f64 x -1/2) (/.f64 0 0))) 1)
(log.f64 (fma.f64 x -1/2 0))
(pow.f64 (cbrt.f64 (log.f64 (+.f64 (*.f64 x -1/2) (/.f64 0 0)))) 3)
(log.f64 (fma.f64 x -1/2 0))
(pow.f64 (pow.f64 (log.f64 (+.f64 (*.f64 x -1/2) (/.f64 0 0))) 3) 1/3)
(log.f64 (fma.f64 x -1/2 0))
(pow.f64 (sqrt.f64 (log.f64 (+.f64 (*.f64 x -1/2) (/.f64 0 0)))) 2)
(log.f64 (fma.f64 x -1/2 0))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 (*.f64 x -1/2) (/.f64 0 0))) 2))
(sqrt.f64 (log.f64 (fma.f64 x -1/2 0)))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 (*.f64 x -1/2) (/.f64 0 0))) 3))
(log.f64 (fma.f64 x -1/2 0))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 (*.f64 x -1/2) (/.f64 0 0)))))
(log.f64 (fma.f64 x -1/2 0))
(exp.f64 (log.f64 (log.f64 (+.f64 (*.f64 x -1/2) (/.f64 0 0)))))
(log.f64 (fma.f64 x -1/2 0))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 (*.f64 x -1/2) (/.f64 0 0)))) 1))
(log.f64 (fma.f64 x -1/2 0))
(log1p.f64 (-.f64 (+.f64 (*.f64 x -1/2) (/.f64 0 0)) 1))
(log1p.f64 (fma.f64 x -1/2 0))
(+.f64 (log.f64 (/.f64 0 0)) (log.f64 (/.f64 0 0)))
0
(+.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(neg.f64 (log.f64 x))
(+.f64 0 (log.f64 (/.f64 0 0)))
0
(-.f64 (log.f64 (*.f64 2 (pow.f64 x -3))) (log.f64 (+.f64 0 (pow.f64 x -2))))
(-.f64 (+.f64 0 (log.f64 (pow.f64 x -3))) (log.f64 (pow.f64 x -2)))
(-.f64 (log.f64 0) (log.f64 0))
0
(-.f64 (log.f64 (+.f64 x x)) (*.f64 2 (log.f64 x)))
(+.f64 (log.f64 (+.f64 x x)) (neg.f64 (log.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 0 0)))) 1)
0
(*.f64 1 (log.f64 (/.f64 0 0)))
0
(*.f64 (log.f64 (/.f64 0 0)) 1)
0
(*.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 2))
0
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 2) (cbrt.f64 (log.f64 (/.f64 0 0))))
0
(*.f64 (sqrt.f64 (log.f64 (/.f64 0 0))) (sqrt.f64 (log.f64 (/.f64 0 0))))
0
(pow.f64 (log.f64 (/.f64 0 0)) 1)
0
(pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 3)
0
(pow.f64 (pow.f64 (log.f64 (/.f64 0 0)) 3) 1/3)
0
(pow.f64 (sqrt.f64 (log.f64 (/.f64 0 0))) 2)
0
(sqrt.f64 (pow.f64 (log.f64 (/.f64 0 0)) 2))
0
(cbrt.f64 (pow.f64 (log.f64 (/.f64 0 0)) 3))
0
(expm1.f64 (log1p.f64 (log.f64 (/.f64 0 0))))
0
(exp.f64 (log.f64 (log.f64 (/.f64 0 0))))
0
(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 0 0))) 1))
0
(log1p.f64 (-.f64 (/.f64 0 0) 1))
(log1p.f64 0)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))) 1)
(/.f64 (sqrt.f64 (-.f64 0 (*.f64 x x))) x)
(*.f64 1 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
(/.f64 (sqrt.f64 (-.f64 0 (*.f64 x x))) x)
(*.f64 (/.f64 1 x) (sqrt.f64 (-.f64 1 (*.f64 x x))))
(/.f64 (sqrt.f64 (-.f64 0 (*.f64 x x))) x)
(*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (/.f64 1 x))
(/.f64 (sqrt.f64 (-.f64 0 (*.f64 x x))) x)
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) (cbrt.f64 (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 0 (*.f64 x x))) x) (cbrt.f64 (*.f64 (pow.f64 x -2) (-.f64 0 (*.f64 x x)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) 1)
(/.f64 (sqrt.f64 (-.f64 0 (*.f64 x x))) x)
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2)))) (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))) (cbrt.f64 (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2)))))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (-.f64 0 (*.f64 x x))))) (*.f64 (/.f64 (sqrt.f64 (-.f64 0 (*.f64 x x))) x) (cbrt.f64 (*.f64 (pow.f64 x -2) (-.f64 0 (*.f64 x x))))))
(*.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (/.f64 1 x)))
(*.f64 (cbrt.f64 (-.f64 0 (*.f64 x x))) (*.f64 (/.f64 0 x) (cbrt.f64 (sqrt.f64 (-.f64 0 (*.f64 x x))))))
(*.f64 (cbrt.f64 (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2))) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 0 (*.f64 x x))) x) (cbrt.f64 (*.f64 (pow.f64 x -2) (-.f64 0 (*.f64 x x)))))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) 1/6) (*.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) 1/6) (cbrt.f64 (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 0 (*.f64 x x))) x) (cbrt.f64 (*.f64 (pow.f64 x -2) (-.f64 0 (*.f64 x x)))))
(*.f64 (pow.f64 x -1/2) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 x)))
(*.f64 (pow.f64 x -1/2) (/.f64 (sqrt.f64 (-.f64 0 (*.f64 x x))) (sqrt.f64 x)))
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(/.f64 (sqrt.f64 (-.f64 0 (*.f64 x x))) x)
(*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) (/.f64 1 x)))
(*.f64 (pow.f64 (-.f64 0 (*.f64 x x)) 1/4) (*.f64 (/.f64 0 x) (pow.f64 (-.f64 0 (*.f64 x x)) 1/4)))
(*.f64 (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (/.f64 1 (neg.f64 x)))
(*.f64 (neg.f64 (sqrt.f64 (-.f64 0 (*.f64 x x)))) (/.f64 0 (neg.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2)))) 3) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 0 (*.f64 x x))) x) (cbrt.f64 (*.f64 (pow.f64 x -2) (-.f64 0 (*.f64 x x)))))
(*.f64 (pow.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) 1/6) 3) (pow.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) 1/6) 3))
(/.f64 (sqrt.f64 (-.f64 0 (*.f64 x x))) x)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (cbrt.f64 x)))
(*.f64 (/.f64 0 (pow.f64 (cbrt.f64 x) 0)) (/.f64 (sqrt.f64 (-.f64 0 (*.f64 x x))) (cbrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 1) (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
(*.f64 (cbrt.f64 (-.f64 0 (*.f64 x x))) (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 0 (*.f64 x x)))) x))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 x)) (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (-.f64 0 (*.f64 x x))) (sqrt.f64 x)) (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 0 (*.f64 x x)))) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) 1) (/.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) x))
(*.f64 (pow.f64 (-.f64 0 (*.f64 x x)) 1/4) (/.f64 (pow.f64 (-.f64 0 (*.f64 x x)) 1/4) x))
(*.f64 (/.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (-.f64 0 (*.f64 x x)) 1/4) (pow.f64 (cbrt.f64 x) 0)) (/.f64 (pow.f64 (-.f64 0 (*.f64 x x)) 1/4) (cbrt.f64 x)))
(*.f64 (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x)))
(*.f64 (sqrt.f64 (-.f64 0 (*.f64 x x))) (*.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 0 (cbrt.f64 x))))
(*.f64 (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (pow.f64 x -1/2)) (pow.f64 x -1/2))
(*.f64 (sqrt.f64 (-.f64 0 (*.f64 x x))) (*.f64 (pow.f64 x -1/2) (pow.f64 x -1/2)))
(*.f64 (*.f64 (cbrt.f64 (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2))) 1) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 0 (*.f64 x x))) x) (cbrt.f64 (*.f64 (pow.f64 x -2) (-.f64 0 (*.f64 x x)))))
(*.f64 (*.f64 (cbrt.f64 (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2))) (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2))))) (cbrt.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 0 (*.f64 x x))) x) (*.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (-.f64 0 (*.f64 x x)))) (cbrt.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (-.f64 0 (*.f64 x x)))))))
(*.f64 (*.f64 (cbrt.f64 (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2))) (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) 1/6)) (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) 1/6))
(*.f64 (/.f64 (sqrt.f64 (-.f64 0 (*.f64 x x))) x) (cbrt.f64 (*.f64 (pow.f64 x -2) (-.f64 0 (*.f64 x x)))))
(/.f64 1 (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(/.f64 (sqrt.f64 (-.f64 0 (*.f64 x x))) x)
(/.f64 1 (/.f64 (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))) 1))
(/.f64 (sqrt.f64 (-.f64 0 (*.f64 x x))) x)
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
(/.f64 (sqrt.f64 (-.f64 0 (*.f64 x x))) x)
(/.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) (/.f64 x (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(*.f64 (/.f64 (cbrt.f64 (-.f64 0 (*.f64 x x))) x) (cbrt.f64 (sqrt.f64 (-.f64 0 (*.f64 x x)))))
(/.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) (/.f64 x (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)))
(*.f64 (pow.f64 (-.f64 0 (*.f64 x x)) 1/4) (/.f64 (pow.f64 (-.f64 0 (*.f64 x x)) 1/4) x))
(/.f64 -1 (neg.f64 (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(/.f64 -2 (/.f64 (neg.f64 x) (sqrt.f64 (-.f64 0 (*.f64 x x)))))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (neg.f64 x))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 0 (*.f64 x x)))) (neg.f64 x))
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (neg.f64 (neg.f64 x)))
(/.f64 (sqrt.f64 (-.f64 0 (*.f64 x x))) x)
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (sqrt.f64 (-.f64 0 (*.f64 x x))) (*.f64 (sqrt.f64 x) (sqrt.f64 x)))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) -1) (neg.f64 x))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 0 (*.f64 x x)))) (neg.f64 x))
(/.f64 (*.f64 (cbrt.f64 (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2))) (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (cbrt.f64 x))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (-.f64 0 (*.f64 x x)))) (/.f64 (cbrt.f64 x) (cbrt.f64 (sqrt.f64 (-.f64 0 (*.f64 x x))))))
(/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2)))) (cbrt.f64 x))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (-.f64 0 (*.f64 x x)))) (/.f64 (cbrt.f64 x) (cbrt.f64 (sqrt.f64 (-.f64 0 (*.f64 x x))))))
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1) x)
(/.f64 (sqrt.f64 (-.f64 0 (*.f64 x x))) x)
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(/.f64 (sqrt.f64 (-.f64 0 (*.f64 x x))) (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 0)))
(neg.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (neg.f64 x)))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 0 (*.f64 x x)))) (neg.f64 x))
(sqrt.f64 (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2)))
(sqrt.f64 (*.f64 (pow.f64 x -2) (-.f64 0 (*.f64 x x))))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(/.f64 (sqrt.f64 (-.f64 0 (*.f64 x x))) x)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))))
(/.f64 (sqrt.f64 (-.f64 0 (*.f64 x x))) x)
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) 3))
(/.f64 (sqrt.f64 (-.f64 0 (*.f64 x x))) x)
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(/.f64 (sqrt.f64 (-.f64 0 (*.f64 x x))) x)
(exp.f64 (log.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(/.f64 (sqrt.f64 (-.f64 0 (*.f64 x x))) x)
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) 1))
(/.f64 (sqrt.f64 (-.f64 0 (*.f64 x x))) x)
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(/.f64 (sqrt.f64 (-.f64 0 (*.f64 x x))) x)
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))) 1)
(/.f64 (sqrt.f64 (-.f64 0 (*.f64 x x))) x)
(*.f64 1 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(/.f64 (sqrt.f64 (-.f64 0 (*.f64 x x))) x)
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) 1)
(/.f64 (sqrt.f64 (-.f64 0 (*.f64 x x))) x)
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))) (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 0 (*.f64 x x))) x) (cbrt.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (-.f64 0 (*.f64 x x))))))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))) (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2))) 1/3))
(*.f64 (/.f64 (sqrt.f64 (-.f64 0 (*.f64 x x))) x) (cbrt.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (-.f64 0 (*.f64 x x))))))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2)))) (cbrt.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 0 (*.f64 x x))) x) (cbrt.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (-.f64 0 (*.f64 x x))))))
(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (/.f64 1 (cbrt.f64 x)))
(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 0 (*.f64 x x)))) (/.f64 0 (cbrt.f64 x)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) 1/6) (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) 1/6))
(/.f64 (sqrt.f64 (-.f64 0 (*.f64 x x))) x)
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(/.f64 (sqrt.f64 (-.f64 0 (*.f64 x x))) x)
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2))) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 0 (*.f64 x x))) x) (cbrt.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (-.f64 0 (*.f64 x x))))))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) 1/3) (pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 0 (*.f64 x x))) x))) (cbrt.f64 (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 0 (*.f64 x x))) x))))
(/.f64 1 (cbrt.f64 (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(/.f64 0 (cbrt.f64 (/.f64 x (sqrt.f64 (-.f64 0 (*.f64 x x))))))
(/.f64 1 (/.f64 (cbrt.f64 x) (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 0 (*.f64 x x)))) (/.f64 0 (cbrt.f64 x)))
(/.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 x))
(/.f64 (cbrt.f64 (sqrt.f64 (-.f64 0 (*.f64 x x)))) (cbrt.f64 x))
(/.f64 (cbrt.f64 (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (cbrt.f64 (neg.f64 x)))
(/.f64 (cbrt.f64 (neg.f64 (sqrt.f64 (-.f64 0 (*.f64 x x))))) (cbrt.f64 (neg.f64 x)))
(/.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (neg.f64 (cbrt.f64 x)))
(/.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 0 (*.f64 x x))))) (neg.f64 (cbrt.f64 x)))
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) 1)
(/.f64 (sqrt.f64 (-.f64 0 (*.f64 x x))) x)
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) 1/3)
(/.f64 (sqrt.f64 (-.f64 0 (*.f64 x x))) x)
(pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))) 3)
(/.f64 (sqrt.f64 (-.f64 0 (*.f64 x x))) x)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) 1/6) 2)
(/.f64 (sqrt.f64 (-.f64 0 (*.f64 x x))) x)
(sqrt.f64 (cbrt.f64 (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2))))
(sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (-.f64 0 (*.f64 x x)))))
(log.f64 (exp.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))))
(/.f64 (sqrt.f64 (-.f64 0 (*.f64 x x))) x)
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))))
(/.f64 (sqrt.f64 (-.f64 0 (*.f64 x x))) x)
(expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))))
(/.f64 (sqrt.f64 (-.f64 0 (*.f64 x x))) x)
(exp.f64 (log.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))))
(/.f64 (sqrt.f64 (-.f64 0 (*.f64 x x))) x)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))) 1))
(/.f64 (sqrt.f64 (-.f64 0 (*.f64 x x))) x)
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) 1/3))
(/.f64 (sqrt.f64 (-.f64 0 (*.f64 x x))) x)
(log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))))
(/.f64 (sqrt.f64 (-.f64 0 (*.f64 x x))) x)
(+.f64 0 (log.f64 (*.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1))))
(log.f64 (*.f64 (/.f64 0 x) (+.f64 0 (sqrt.f64 (-.f64 0 (*.f64 x x))))))
(+.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1)))) (log.f64 (sqrt.f64 (*.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1)))))
(*.f64 0 (log.f64 (sqrt.f64 (*.f64 (/.f64 0 x) (+.f64 0 (sqrt.f64 (-.f64 0 (*.f64 x x))))))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1)) 2))) (log.f64 (cbrt.f64 (*.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1)))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 0 x) (+.f64 0 (sqrt.f64 (-.f64 0 (*.f64 x x))))) 0))) (log.f64 (cbrt.f64 (*.f64 (/.f64 0 x) (+.f64 0 (sqrt.f64 (-.f64 0 (*.f64 x x))))))))
(-.f64 (log.f64 (+.f64 (pow.f64 x -3) (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) 3))) (log.f64 (-.f64 (+.f64 (pow.f64 x -2) (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2))) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (*.f64 x x)))))
(-.f64 (log.f64 (+.f64 (pow.f64 x -3) (/.f64 (sqrt.f64 (-.f64 0 (*.f64 x x))) x))) (log.f64 (-.f64 (*.f64 (+.f64 (-.f64 0 (*.f64 x x)) 0) (pow.f64 x -2)) (/.f64 (sqrt.f64 (-.f64 0 (*.f64 x x))) (*.f64 x x)))))
(-.f64 (log.f64 (-.f64 (pow.f64 x -2) (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2)))) (log.f64 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
(-.f64 (log.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (-.f64 0 (*.f64 x x))))) (log.f64 (/.f64 (neg.f64 (sqrt.f64 (-.f64 0 (*.f64 x x)))) x)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (*.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1))))) 1)
(log.f64 (*.f64 (/.f64 0 x) (+.f64 0 (sqrt.f64 (-.f64 0 (*.f64 x x))))))
(*.f64 1 (log.f64 (*.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1))))
(log.f64 (*.f64 (/.f64 0 x) (+.f64 0 (sqrt.f64 (-.f64 0 (*.f64 x x))))))
(*.f64 (log.f64 (*.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1))) 1)
(log.f64 (*.f64 (/.f64 0 x) (+.f64 0 (sqrt.f64 (-.f64 0 (*.f64 x x))))))
(*.f64 (cbrt.f64 (log.f64 (*.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1)))) (pow.f64 (cbrt.f64 (log.f64 (*.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1)))) 2))
(log.f64 (*.f64 (/.f64 0 x) (+.f64 0 (sqrt.f64 (-.f64 0 (*.f64 x x))))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1)))) 2) (cbrt.f64 (log.f64 (*.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1)))))
(log.f64 (*.f64 (/.f64 0 x) (+.f64 0 (sqrt.f64 (-.f64 0 (*.f64 x x))))))
(*.f64 (sqrt.f64 (log.f64 (*.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1)))) (sqrt.f64 (log.f64 (*.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1)))))
(log.f64 (*.f64 (/.f64 0 x) (+.f64 0 (sqrt.f64 (-.f64 0 (*.f64 x x))))))
(pow.f64 (log.f64 (*.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1))) 1)
(log.f64 (*.f64 (/.f64 0 x) (+.f64 0 (sqrt.f64 (-.f64 0 (*.f64 x x))))))
(pow.f64 (cbrt.f64 (log.f64 (*.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1)))) 3)
(log.f64 (*.f64 (/.f64 0 x) (+.f64 0 (sqrt.f64 (-.f64 0 (*.f64 x x))))))
(pow.f64 (pow.f64 (log.f64 (*.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1))) 3) 1/3)
(log.f64 (*.f64 (/.f64 0 x) (+.f64 0 (sqrt.f64 (-.f64 0 (*.f64 x x))))))
(pow.f64 (sqrt.f64 (log.f64 (*.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1)))) 2)
(log.f64 (*.f64 (/.f64 0 x) (+.f64 0 (sqrt.f64 (-.f64 0 (*.f64 x x))))))
(sqrt.f64 (pow.f64 (log.f64 (*.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1))) 2))
(sqrt.f64 (log.f64 (*.f64 (/.f64 0 x) (+.f64 0 (sqrt.f64 (-.f64 0 (*.f64 x x)))))))
(cbrt.f64 (pow.f64 (log.f64 (*.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1))) 3))
(log.f64 (*.f64 (/.f64 0 x) (+.f64 0 (sqrt.f64 (-.f64 0 (*.f64 x x))))))
(expm1.f64 (log1p.f64 (log.f64 (*.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1)))))
(log.f64 (*.f64 (/.f64 0 x) (+.f64 0 (sqrt.f64 (-.f64 0 (*.f64 x x))))))
(exp.f64 (log.f64 (log.f64 (*.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1)))))
(log.f64 (*.f64 (/.f64 0 x) (+.f64 0 (sqrt.f64 (-.f64 0 (*.f64 x x))))))
(exp.f64 (*.f64 (log.f64 (log.f64 (*.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1)))) 1))
(log.f64 (*.f64 (/.f64 0 x) (+.f64 0 (sqrt.f64 (-.f64 0 (*.f64 x x))))))
(log1p.f64 (-.f64 (*.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1)) 1))
(log1p.f64 (fma.f64 (/.f64 0 x) (+.f64 0 (sqrt.f64 (-.f64 0 (*.f64 x x)))) -2))

eval170.0ms (3.3%)

Compiler

Compiled 6213 to 4548 computations (26.8% saved)

prune51.0ms (1%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New3143317
Fresh000
Picked123
Done011
Total3156321
Accuracy
100.0%
Counts
321 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
31.6%
(neg.f64 (log.f64 x))
99.6%
(log.f64 (+.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 (/.f64 1 x)) 3)))
100.0%
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
99.6%
(log.f64 (+.f64 (/.f64 1 x) (/.f64 1 x)))
99.8%
(log.f64 (+.f64 (/.f64 1 x) (+.f64 (*.f64 -1/2 x) (/.f64 1 x))))
3.1%
0
31.6%
(neg.f64 (log.f64 x))
99.6%
(log.f64 (+.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 (/.f64 1 x)) 3)))
100.0%
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
99.6%
(log.f64 (+.f64 (/.f64 1 x) (/.f64 1 x)))
99.8%
(log.f64 (+.f64 (/.f64 1 x) (+.f64 (*.f64 -1/2 x) (/.f64 1 x))))
3.1%
0
Compiler

Compiled 108 to 84 computations (22.2% saved)

localize78.0ms (1.5%)

Localize:

Found 3 expressions with local error:

NewAccuracyProgram
100.0%
(log.f64 (+.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 (/.f64 1 x)) 3)))
99.2%
(cbrt.f64 (/.f64 1 x))
98.9%
(pow.f64 (cbrt.f64 (/.f64 1 x)) 3)
Compiler

Compiled 45 to 33 computations (26.7% saved)

series6.0ms (0.1%)

Counts
3 → 3
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(cbrt.f64 (/.f64 1 x))
1.0ms
x
@-inf
(pow.f64 (cbrt.f64 (/.f64 1 x)) 3)
1.0ms
x
@-inf
(log.f64 (+.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 (/.f64 1 x)) 3)))
1.0ms
x
@inf
(log.f64 (+.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 (/.f64 1 x)) 3)))
1.0ms
x
@0
(pow.f64 (cbrt.f64 (/.f64 1 x)) 3)

rewrite75.0ms (1.5%)

Algorithm
batch-egg-rewrite
Rules
1748×pow1
1640×add-exp-log
1638×log1p-expm1-u
1638×expm1-log1p-u
1600×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01141
122729
2263829
Stop Event
node limit
Counts
3 → 72
Calls
Call 1
Inputs
(pow.f64 (cbrt.f64 (/.f64 1 x)) 3)
(cbrt.f64 (/.f64 1 x))
(log.f64 (+.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 (/.f64 1 x)) 3)))
Outputs
(-.f64 (+.f64 1 (pow.f64 x -1)) 1)
(*.f64 1 (pow.f64 x -1))
(*.f64 (pow.f64 x -1) 1)
(*.f64 (cbrt.f64 (pow.f64 x -1)) (cbrt.f64 (pow.f64 x -2)))
(*.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 (pow.f64 x -1)))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 x -2))) (*.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 x))) (cbrt.f64 (pow.f64 x -2))))
(*.f64 (pow.f64 x -1/2) (pow.f64 x -1/2))
(*.f64 (cbrt.f64 (pow.f64 x -1/2)) (*.f64 (cbrt.f64 (pow.f64 x -1/2)) (cbrt.f64 (pow.f64 x -2))))
(*.f64 -1 (/.f64 1 (neg.f64 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) -1) (cbrt.f64 (pow.f64 x -1)))
(*.f64 (pow.f64 (sqrt.f64 x) -1) (pow.f64 (sqrt.f64 x) -1))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 x -2))) 3) (cbrt.f64 (pow.f64 x -1)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x -1/2)) 3) (pow.f64 (cbrt.f64 (pow.f64 x -1/2)) 3))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 x -2)) 1) (cbrt.f64 (pow.f64 x -1)))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 (cbrt.f64 (pow.f64 x -2)))) (/.f64 1 (cbrt.f64 (cbrt.f64 x))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 (pow.f64 x -1/2))) (cbrt.f64 (pow.f64 x -1/2)))
(/.f64 1 x)
(/.f64 1 (neg.f64 (neg.f64 x)))
(/.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 x))
(/.f64 (pow.f64 x -1/2) (sqrt.f64 x))
(/.f64 -1 (neg.f64 x))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 x -2)) 1) (cbrt.f64 x))
(sqrt.f64 (pow.f64 x -2))
(log.f64 (exp.f64 (pow.f64 x -1)))
(cbrt.f64 (pow.f64 x -3))
(expm1.f64 (log1p.f64 (pow.f64 x -1)))
(exp.f64 (neg.f64 (log.f64 x)))
(log1p.f64 (expm1.f64 (pow.f64 x -1)))
(-.f64 (+.f64 1 (cbrt.f64 (pow.f64 x -1))) 1)
(*.f64 1 (cbrt.f64 (pow.f64 x -1)))
(*.f64 (cbrt.f64 (pow.f64 x -1)) 1)
(*.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 x))) (cbrt.f64 (cbrt.f64 (pow.f64 x -2))))
(*.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 x))) (pow.f64 (cbrt.f64 (pow.f64 x -2)) 1/3))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 (cbrt.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 x -1/2)) (cbrt.f64 (pow.f64 x -1/2)))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (pow.f64 x -1)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x -2)) 1/3) (/.f64 1 (cbrt.f64 (cbrt.f64 x))))
(*.f64 (pow.f64 (pow.f64 x -1/2) 1/3) (pow.f64 (pow.f64 x -1/2) 1/3))
(/.f64 1 (cbrt.f64 x))
(/.f64 1 (/.f64 (cbrt.f64 x) 1))
(/.f64 -1 (cbrt.f64 (neg.f64 x)))
(/.f64 -1 (neg.f64 (cbrt.f64 x)))
(pow.f64 x -1/3)
(pow.f64 (pow.f64 x -1) 1/3)
(pow.f64 (cbrt.f64 (pow.f64 x -1)) 1)
(pow.f64 (cbrt.f64 x) -1)
(pow.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 x))) 3)
(pow.f64 (cbrt.f64 (pow.f64 x -1/2)) 2)
(sqrt.f64 (cbrt.f64 (pow.f64 x -2)))
(log.f64 (exp.f64 (cbrt.f64 (pow.f64 x -1))))
(expm1.f64 (log1p.f64 (cbrt.f64 (pow.f64 x -1))))
(exp.f64 (neg.f64 (log.f64 (cbrt.f64 x))))
(log1p.f64 (expm1.f64 (cbrt.f64 (pow.f64 x -1))))
(+.f64 (log.f64 (/.f64 0 0)) (log.f64 (/.f64 0 0)))
(+.f64 0 (log.f64 (/.f64 0 0)))
(-.f64 (log.f64 0) (log.f64 0))
(-.f64 (log.f64 (*.f64 2 (pow.f64 x -3))) (log.f64 (+.f64 0 (pow.f64 x -2))))
(-.f64 (+.f64 1 (log.f64 (/.f64 0 0))) 1)
(*.f64 1 (log.f64 (/.f64 0 0)))
(*.f64 (log.f64 (/.f64 0 0)) 1)
(*.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 2) (cbrt.f64 (log.f64 (/.f64 0 0))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 0 0))) (sqrt.f64 (log.f64 (/.f64 0 0))))
(pow.f64 (log.f64 (/.f64 0 0)) 1)
(pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 3)
(pow.f64 (pow.f64 (log.f64 (/.f64 0 0)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 0 0))) 2)
(sqrt.f64 (pow.f64 (log.f64 (/.f64 0 0)) 2))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 0 0)) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 0 0))))
(exp.f64 (log.f64 (log.f64 (/.f64 0 0))))
(log1p.f64 (-.f64 (/.f64 0 0) 1))

simplify25.0ms (0.5%)

Algorithm
egg-herbie
Rules
48×sqr-pow
26×*-commutative
12×sub-neg
10×cube-mult
10×unpow2
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0151705
1372705
Stop Event
unsound
Counts
75 → 90
Calls
Call 1
Inputs
(*.f64 -1 (log.f64 x))
(log.f64 (/.f64 1 x))
(+.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))
(-.f64 (+.f64 1 (pow.f64 x -1)) 1)
(*.f64 1 (pow.f64 x -1))
(*.f64 (pow.f64 x -1) 1)
(*.f64 (cbrt.f64 (pow.f64 x -1)) (cbrt.f64 (pow.f64 x -2)))
(*.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 (pow.f64 x -1)))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 x -2))) (*.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 x))) (cbrt.f64 (pow.f64 x -2))))
(*.f64 (pow.f64 x -1/2) (pow.f64 x -1/2))
(*.f64 (cbrt.f64 (pow.f64 x -1/2)) (*.f64 (cbrt.f64 (pow.f64 x -1/2)) (cbrt.f64 (pow.f64 x -2))))
(*.f64 -1 (/.f64 1 (neg.f64 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) -1) (cbrt.f64 (pow.f64 x -1)))
(*.f64 (pow.f64 (sqrt.f64 x) -1) (pow.f64 (sqrt.f64 x) -1))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 x -2))) 3) (cbrt.f64 (pow.f64 x -1)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x -1/2)) 3) (pow.f64 (cbrt.f64 (pow.f64 x -1/2)) 3))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 x -2)) 1) (cbrt.f64 (pow.f64 x -1)))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 (cbrt.f64 (pow.f64 x -2)))) (/.f64 1 (cbrt.f64 (cbrt.f64 x))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 (pow.f64 x -1/2))) (cbrt.f64 (pow.f64 x -1/2)))
(/.f64 1 x)
(/.f64 1 (neg.f64 (neg.f64 x)))
(/.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 x))
(/.f64 (pow.f64 x -1/2) (sqrt.f64 x))
(/.f64 -1 (neg.f64 x))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 x -2)) 1) (cbrt.f64 x))
(sqrt.f64 (pow.f64 x -2))
(log.f64 (exp.f64 (pow.f64 x -1)))
(cbrt.f64 (pow.f64 x -3))
(expm1.f64 (log1p.f64 (pow.f64 x -1)))
(exp.f64 (neg.f64 (log.f64 x)))
(log1p.f64 (expm1.f64 (pow.f64 x -1)))
(-.f64 (+.f64 1 (cbrt.f64 (pow.f64 x -1))) 1)
(*.f64 1 (cbrt.f64 (pow.f64 x -1)))
(*.f64 (cbrt.f64 (pow.f64 x -1)) 1)
(*.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 x))) (cbrt.f64 (cbrt.f64 (pow.f64 x -2))))
(*.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 x))) (pow.f64 (cbrt.f64 (pow.f64 x -2)) 1/3))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 (cbrt.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 x -1/2)) (cbrt.f64 (pow.f64 x -1/2)))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (pow.f64 x -1)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x -2)) 1/3) (/.f64 1 (cbrt.f64 (cbrt.f64 x))))
(*.f64 (pow.f64 (pow.f64 x -1/2) 1/3) (pow.f64 (pow.f64 x -1/2) 1/3))
(/.f64 1 (cbrt.f64 x))
(/.f64 1 (/.f64 (cbrt.f64 x) 1))
(/.f64 -1 (cbrt.f64 (neg.f64 x)))
(/.f64 -1 (neg.f64 (cbrt.f64 x)))
(pow.f64 x -1/3)
(pow.f64 (pow.f64 x -1) 1/3)
(pow.f64 (cbrt.f64 (pow.f64 x -1)) 1)
(pow.f64 (cbrt.f64 x) -1)
(pow.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 x))) 3)
(pow.f64 (cbrt.f64 (pow.f64 x -1/2)) 2)
(sqrt.f64 (cbrt.f64 (pow.f64 x -2)))
(log.f64 (exp.f64 (cbrt.f64 (pow.f64 x -1))))
(expm1.f64 (log1p.f64 (cbrt.f64 (pow.f64 x -1))))
(exp.f64 (neg.f64 (log.f64 (cbrt.f64 x))))
(log1p.f64 (expm1.f64 (cbrt.f64 (pow.f64 x -1))))
(+.f64 (log.f64 (/.f64 0 0)) (log.f64 (/.f64 0 0)))
(+.f64 0 (log.f64 (/.f64 0 0)))
(-.f64 (log.f64 0) (log.f64 0))
(-.f64 (log.f64 (*.f64 2 (pow.f64 x -3))) (log.f64 (+.f64 0 (pow.f64 x -2))))
(-.f64 (+.f64 1 (log.f64 (/.f64 0 0))) 1)
(*.f64 1 (log.f64 (/.f64 0 0)))
(*.f64 (log.f64 (/.f64 0 0)) 1)
(*.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 2) (cbrt.f64 (log.f64 (/.f64 0 0))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 0 0))) (sqrt.f64 (log.f64 (/.f64 0 0))))
(pow.f64 (log.f64 (/.f64 0 0)) 1)
(pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 3)
(pow.f64 (pow.f64 (log.f64 (/.f64 0 0)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 0 0))) 2)
(sqrt.f64 (pow.f64 (log.f64 (/.f64 0 0)) 2))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 0 0)) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 0 0))))
(exp.f64 (log.f64 (log.f64 (/.f64 0 0))))
(log1p.f64 (-.f64 (/.f64 0 0) 1))
Outputs
(*.f64 -1 (log.f64 x))
(neg.f64 (log.f64 x))
(log.f64 (/.f64 1 x))
(neg.f64 (log.f64 x))
(+.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))
(-.f64 (+.f64 1 (pow.f64 x -1)) 1)
(+.f64 (/.f64 0 x) -1)
(*.f64 1 (pow.f64 x -1))
(/.f64 0 x)
(*.f64 (pow.f64 x -1) 1)
(/.f64 0 x)
(*.f64 (cbrt.f64 (pow.f64 x -1)) (cbrt.f64 (pow.f64 x -2)))
(/.f64 0 x)
(*.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 (pow.f64 x -1)))
(/.f64 0 x)
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 x -2))) (*.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 x))) (cbrt.f64 (pow.f64 x -2))))
(/.f64 (/.f64 0 x) (cbrt.f64 (cbrt.f64 x)))
(*.f64 (pow.f64 x -1/2) (pow.f64 x -1/2))
(/.f64 0 x)
(*.f64 (cbrt.f64 (pow.f64 x -1/2)) (*.f64 (cbrt.f64 (pow.f64 x -1/2)) (cbrt.f64 (pow.f64 x -2))))
(/.f64 0 x)
(*.f64 -1 (/.f64 1 (neg.f64 x)))
(/.f64 -1 (neg.f64 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) -1) (cbrt.f64 (pow.f64 x -1)))
(*.f64 (/.f64 0 x) (/.f64 0 (pow.f64 (cbrt.f64 x) 0)))
(*.f64 (pow.f64 (sqrt.f64 x) -1) (pow.f64 (sqrt.f64 x) -1))
(pow.f64 (sqrt.f64 x) -2)
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 x -2))) 3) (cbrt.f64 (pow.f64 x -1)))
(/.f64 0 x)
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x -1/2)) 3) (pow.f64 (cbrt.f64 (pow.f64 x -1/2)) 3))
(/.f64 0 x)
(*.f64 (*.f64 (cbrt.f64 (pow.f64 x -2)) 1) (cbrt.f64 (pow.f64 x -1)))
(/.f64 0 x)
(*.f64 (*.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 (cbrt.f64 (pow.f64 x -2)))) (/.f64 1 (cbrt.f64 (cbrt.f64 x))))
(/.f64 (/.f64 0 x) (cbrt.f64 (cbrt.f64 x)))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 (pow.f64 x -1/2))) (cbrt.f64 (pow.f64 x -1/2)))
(/.f64 0 x)
(/.f64 1 x)
(/.f64 0 x)
(/.f64 1 (neg.f64 (neg.f64 x)))
(/.f64 0 x)
(/.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 x))
(/.f64 (/.f64 0 x) (cbrt.f64 x))
(/.f64 (pow.f64 x -1/2) (sqrt.f64 x))
(/.f64 (/.f64 0 x) (sqrt.f64 x))
(/.f64 -1 (neg.f64 x))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 x -2)) 1) (cbrt.f64 x))
(/.f64 (/.f64 0 x) (cbrt.f64 x))
(sqrt.f64 (pow.f64 x -2))
(sqrt.f64 (/.f64 0 x))
(log.f64 (exp.f64 (pow.f64 x -1)))
(/.f64 0 x)
(cbrt.f64 (pow.f64 x -3))
(expm1.f64 (log1p.f64 (pow.f64 x -1)))
(/.f64 0 x)
(exp.f64 (neg.f64 (log.f64 x)))
(log1p.f64 (expm1.f64 (pow.f64 x -1)))
(/.f64 0 x)
(-.f64 (+.f64 1 (cbrt.f64 (pow.f64 x -1))) 1)
(+.f64 (/.f64 0 x) -1)
(*.f64 1 (cbrt.f64 (pow.f64 x -1)))
(/.f64 0 x)
(*.f64 (cbrt.f64 (pow.f64 x -1)) 1)
(/.f64 0 x)
(*.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 x))) (cbrt.f64 (cbrt.f64 (pow.f64 x -2))))
(/.f64 (/.f64 0 x) (cbrt.f64 (cbrt.f64 x)))
(*.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 x))) (pow.f64 (cbrt.f64 (pow.f64 x -2)) 1/3))
(/.f64 (/.f64 0 x) (cbrt.f64 (cbrt.f64 x)))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 (cbrt.f64 x))))
(/.f64 (/.f64 0 x) (cbrt.f64 (cbrt.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 x -1/2)) (cbrt.f64 (pow.f64 x -1/2)))
(/.f64 0 x)
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (pow.f64 x -1)))
(/.f64 0 x)
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x -2)) 1/3) (/.f64 1 (cbrt.f64 (cbrt.f64 x))))
(/.f64 (/.f64 0 x) (cbrt.f64 (cbrt.f64 x)))
(*.f64 (pow.f64 (pow.f64 x -1/2) 1/3) (pow.f64 (pow.f64 x -1/2) 1/3))
(/.f64 0 x)
(/.f64 1 (cbrt.f64 x))
(/.f64 0 (cbrt.f64 x))
(/.f64 1 (/.f64 (cbrt.f64 x) 1))
(/.f64 0 (cbrt.f64 x))
(/.f64 -1 (cbrt.f64 (neg.f64 x)))
(/.f64 -1 (neg.f64 (cbrt.f64 x)))
(pow.f64 x -1/3)
(*.f64 (pow.f64 x -1/6) (pow.f64 x -1/6))
(pow.f64 (pow.f64 x -1) 1/3)
(/.f64 0 x)
(pow.f64 (cbrt.f64 (pow.f64 x -1)) 1)
(/.f64 0 x)
(pow.f64 (cbrt.f64 x) -1)
(/.f64 0 (cbrt.f64 x))
(pow.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 x))) 3)
(pow.f64 (/.f64 0 (cbrt.f64 (cbrt.f64 x))) 0)
(pow.f64 (cbrt.f64 (pow.f64 x -1/2)) 2)
(/.f64 0 x)
(sqrt.f64 (cbrt.f64 (pow.f64 x -2)))
(sqrt.f64 (/.f64 0 x))
(log.f64 (exp.f64 (cbrt.f64 (pow.f64 x -1))))
(/.f64 0 x)
(expm1.f64 (log1p.f64 (cbrt.f64 (pow.f64 x -1))))
(/.f64 0 x)
(exp.f64 (neg.f64 (log.f64 (cbrt.f64 x))))
(log1p.f64 (expm1.f64 (cbrt.f64 (pow.f64 x -1))))
(/.f64 0 x)
(+.f64 (log.f64 (/.f64 0 0)) (log.f64 (/.f64 0 0)))
0
(+.f64 0 (log.f64 (/.f64 0 0)))
0
(-.f64 (log.f64 0) (log.f64 0))
0
(-.f64 (log.f64 (*.f64 2 (pow.f64 x -3))) (log.f64 (+.f64 0 (pow.f64 x -2))))
(-.f64 (+.f64 0 (log.f64 (pow.f64 x -3))) (neg.f64 (log.f64 x)))
(-.f64 (+.f64 1 (log.f64 (/.f64 0 0))) 1)
0
(*.f64 1 (log.f64 (/.f64 0 0)))
0
(*.f64 (log.f64 (/.f64 0 0)) 1)
0
(*.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 2))
0
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 2) (cbrt.f64 (log.f64 (/.f64 0 0))))
0
(*.f64 (sqrt.f64 (log.f64 (/.f64 0 0))) (sqrt.f64 (log.f64 (/.f64 0 0))))
0
(pow.f64 (log.f64 (/.f64 0 0)) 1)
0
(pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 3)
0
(pow.f64 (pow.f64 (log.f64 (/.f64 0 0)) 3) 1/3)
0
(pow.f64 (sqrt.f64 (log.f64 (/.f64 0 0))) 2)
0
(sqrt.f64 (pow.f64 (log.f64 (/.f64 0 0)) 2))
0
(cbrt.f64 (pow.f64 (log.f64 (/.f64 0 0)) 3))
0
(expm1.f64 (log1p.f64 (log.f64 (/.f64 0 0))))
0
(exp.f64 (log.f64 (log.f64 (/.f64 0 0))))
0
(log1p.f64 (-.f64 (/.f64 0 0) 1))
(log1p.f64 0)

eval28.0ms (0.6%)

Compiler

Compiled 1019 to 814 computations (20.1% saved)

prune48.0ms (0.9%)

Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New90090
Fresh011
Picked022
Done033
Total90696
Accuracy
100.0%
Counts
96 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
31.6%
(neg.f64 (log.f64 x))
99.6%
(log.f64 (+.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 (/.f64 1 x)) 3)))
100.0%
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
99.6%
(log.f64 (+.f64 (/.f64 1 x) (/.f64 1 x)))
99.8%
(log.f64 (+.f64 (/.f64 1 x) (+.f64 (*.f64 -1/2 x) (/.f64 1 x))))
3.1%
0
31.6%
(neg.f64 (log.f64 x))
99.6%
(log.f64 (+.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 (/.f64 1 x)) 3)))
100.0%
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
99.6%
(log.f64 (+.f64 (/.f64 1 x) (/.f64 1 x)))
99.8%
(log.f64 (+.f64 (/.f64 1 x) (+.f64 (*.f64 -1/2 x) (/.f64 1 x))))
3.1%
0
Compiler

Compiled 108 to 84 computations (22.2% saved)

localize0.0ms (0%)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune16.0ms (0.3%)

Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done055
Total066
Accuracy
100.0%
Counts
6 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
31.6%
(neg.f64 (log.f64 x))
99.6%
(log.f64 (+.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 (/.f64 1 x)) 3)))
100.0%
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
99.6%
(log.f64 (+.f64 (/.f64 1 x) (/.f64 1 x)))
99.8%
(log.f64 (+.f64 (/.f64 1 x) (+.f64 (*.f64 -1/2 x) (/.f64 1 x))))
3.1%
0
Compiler

Compiled 119 to 90 computations (24.4% saved)

regimes58.0ms (1.1%)

Counts
7 → 1
Calls
Call 1
Inputs
0
(neg.f64 (log.f64 x))
(log.f64 (+.f64 (/.f64 1 x) (/.f64 1 x)))
(log.f64 (+.f64 (/.f64 1 x) (+.f64 (*.f64 -1/2 x) (/.f64 1 x))))
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(log.f64 (+.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 (/.f64 1 x)) 3)))
(log.f64 (+.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) 3)))
Outputs
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
Calls

3 calls:

18.0ms
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
17.0ms
(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
16.0ms
x
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
100.0%1(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
Compiler

Compiled 94 to 68 computations (27.7% saved)

regimes6.0ms (0.1%)

Counts
4 → 1
Calls
Call 1
Inputs
0
(neg.f64 (log.f64 x))
(log.f64 (+.f64 (/.f64 1 x) (/.f64 1 x)))
(log.f64 (+.f64 (/.f64 1 x) (+.f64 (*.f64 -1/2 x) (/.f64 1 x))))
Outputs
(log.f64 (+.f64 (/.f64 1 x) (+.f64 (*.f64 -1/2 x) (/.f64 1 x))))
Calls

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
99.8%1x
Compiler

Compiled 27 to 20 computations (25.9% saved)

regimes4.0ms (0.1%)

Counts
3 → 1
Calls
Call 1
Inputs
0
(neg.f64 (log.f64 x))
(log.f64 (+.f64 (/.f64 1 x) (/.f64 1 x)))
Outputs
(log.f64 (+.f64 (/.f64 1 x) (/.f64 1 x)))
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
99.6%1x
Compiler

Compiled 15 to 11 computations (26.7% saved)

regimes6.0ms (0.1%)

Counts
2 → 1
Calls
Call 1
Inputs
0
(neg.f64 (log.f64 x))
Outputs
(neg.f64 (log.f64 x))
Calls

1 calls:

5.0ms
x
Results
AccuracySegmentsBranch
31.6%1x
Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes3.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
0
Outputs
0
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
3.1%1x
Compiler

Compiled 4 to 3 computations (25% saved)

simplify17.0ms (0.3%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
022107
135107
243107
348107
450107
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(log.f64 (+.f64 (/.f64 1 x) (+.f64 (*.f64 -1/2 x) (/.f64 1 x))))
(log.f64 (+.f64 (/.f64 1 x) (/.f64 1 x)))
(neg.f64 (log.f64 x))
0
Outputs
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(log.f64 (+.f64 (/.f64 1 x) (+.f64 (*.f64 -1/2 x) (/.f64 1 x))))
(log.f64 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 x) (*.f64 x -1/2))))
(log.f64 (+.f64 (/.f64 1 x) (/.f64 1 x)))
(neg.f64 (log.f64 x))
0
Compiler

Compiled 42 to 32 computations (23.8% saved)

soundness203.0ms (4%)

Rules
772×expm1-udef
766×log1p-udef
476×add-sqr-sqrt
458×pow1
456×*-un-lft-identity
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
022137
1490123
26873123
03825178
19395178
03825178
19395178
Stop Event
unsound
unsound
node limit
Compiler

Compiled 64 to 50 computations (21.9% saved)

end0.0ms (0%)

preprocess46.0ms (0.9%)

Compiler

Compiled 104 to 76 computations (26.9% saved)

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