Hyperbolic arc-(co)secant

Time bar (total: 8.7s)

analyze6.0ms (0.1%)

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)

sample2.2s (25.1%)

Results
2.2s8256×body256valid
3.0ms22×body256invalid
Bogosity

preprocess327.0ms (3.7%)

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)

localize197.0ms (2.3%)

Localize:

Found 4 expressions with local error:

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

Compiled 54 to 30 computations (44.4% saved)

series427.0ms (4.9%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
422.0ms
x
@-inf
(+.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
@inf
(/.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)))

rewrite888.0ms (10.2%)

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
012114
1262114
23752110
Stop Event
node limit
Counts
4 → 235
Calls
Call 1
Inputs
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
(+.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)))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
Outputs
(+.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 (sqrt.f64 (-.f64 1 (*.f64 x x))) (pow.f64 x -1))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) 1)
(*.f64 (pow.f64 x -1) (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 (-.f64 1 (*.f64 x x)) (pow.f64 x -2))) (cbrt.f64 (/.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)))) (pow.f64 x -1)))
(*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) (pow.f64 x -1)))
(*.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 x -1/2) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 x)))
(*.f64 (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (pow.f64 (neg.f64 x) -1))
(*.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))) (pow.f64 (cbrt.f64 x) 2)) (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) (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))
(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 (/.f64 1 (cbrt.f64 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 (*.f64 3 (log.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))) 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)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (pow.f64 x -1)))) 1)
(-.f64 (/.f64 (pow.f64 x -2) (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)) (/.f64 (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2)) (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
(*.f64 1 (+.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (pow.f64 x -1)))
(*.f64 (pow.f64 x -1) (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(*.f64 (pow.f64 x -1) (+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1))
(*.f64 (+.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (pow.f64 x -1)) 1)
(*.f64 (cbrt.f64 (+.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (pow.f64 x -1))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (pow.f64 x -1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (pow.f64 x -1))) 2) (cbrt.f64 (+.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (pow.f64 x -1))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) x) (/.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) x))
(*.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (pow.f64 x -2))
(*.f64 (fma.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2) (pow.f64 x -3) (pow.f64 x -3)) (/.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 (-.f64 (pow.f64 x -2) (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2))) (/.f64 1 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
(*.f64 (+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1) (pow.f64 x -1))
(/.f64 1 (/.f64 (*.f64 x x) (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(/.f64 1 (/.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 1 (/.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 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (*.f64 x x))
(/.f64 (fma.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2) (pow.f64 x -3) (pow.f64 x -3)) (-.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 (fma.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2) (pow.f64 x -3) (pow.f64 x -3)) (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 (-.f64 (pow.f64 x -2) (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2))) (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
(/.f64 (+.f64 x (*.f64 (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))) 1)) (*.f64 (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
(/.f64 (fma.f64 -1 x (*.f64 (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))) -1)) (*.f64 (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))) (neg.f64 x)))
(/.f64 (fma.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (neg.f64 x) (*.f64 x -1)) (*.f64 x (neg.f64 x)))
(/.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x (*.f64 (neg.f64 x) 1)) (*.f64 x (neg.f64 x)))
(/.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (neg.f64 x) (*.f64 (neg.f64 x) -1)) (pow.f64 (neg.f64 x) 2))
(/.f64 (+.f64 (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) (*.f64 x (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(/.f64 (fma.f64 -1 x (*.f64 x (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (*.f64 x (neg.f64 x)))
(/.f64 (fma.f64 -1 (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))) (*.f64 (neg.f64 x) 1)) (*.f64 (neg.f64 x) (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(/.f64 (fma.f64 -1 x (*.f64 (neg.f64 x) (sqrt.f64 (-.f64 1 (*.f64 x x))))) (*.f64 x (neg.f64 x)))
(/.f64 (fma.f64 -1 (neg.f64 x) (*.f64 (neg.f64 x) (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (pow.f64 (neg.f64 x) 2))
(/.f64 (neg.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) (*.f64 x (neg.f64 x)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2) (pow.f64 x -3) (pow.f64 x -3))) (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 (neg.f64 (-.f64 (pow.f64 x -2) (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2)))) (neg.f64 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
(/.f64 (-.f64 (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2)) (pow.f64 x -2)) (-.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (pow.f64 x -1)))
(/.f64 (/.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x) 1) (*.f64 x x))
(/.f64 (/.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x) x) x)
(/.f64 (/.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (*.f64 (cbrt.f64 x) x)) (pow.f64 (cbrt.f64 x) 2))
(pow.f64 (+.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (pow.f64 x -1)) 1)
(pow.f64 (E.f64) (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (pow.f64 x -1))) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (pow.f64 x -1)) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (pow.f64 x -1)) 3) 1/3)
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) x) 2)
(pow.f64 (exp.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)))))))
(pow.f64 (exp.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)))))))
(pow.f64 (/.f64 (*.f64 x x) (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) -1)
(pow.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))) -1)
(pow.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)))) -1)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (pow.f64 x -1)) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (pow.f64 x -1))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (pow.f64 x -1)))))
(log.f64 (*.f64 (exp.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) (+.f64 1 (expm1.f64 (pow.f64 x -1)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))) (exp.f64 (pow.f64 x -1))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))) (+.f64 1 (expm1.f64 (pow.f64 x -1)))))
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(exp.f64 (*.f64 (*.f64 (*.f64 1/2 (log1p.f64 (*.f64 x (neg.f64 x)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 3))
(exp.f64 (*.f64 (*.f64 3/2 (log1p.f64 (*.f64 x (neg.f64 x)))) 1/3))
(exp.f64 (*.f64 (*.f64 1/4 (log1p.f64 (*.f64 x (neg.f64 x)))) 2))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))

simplify247.0ms (2.8%)

Algorithm
egg-herbie
Rules
708×log-prod
648×fma-def
608×fma-neg
578×exp-prod
572×div-sub
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
063212285
1157411491
2560511399
Stop Event
node limit
Counts
283 → 422
Calls
Call 1
Inputs
(/.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 2 x)
(+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
(+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 -1/8 (pow.f64 x 3)) (*.f64 2 (/.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 2 (/.f64 1 x)))))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (/.f64 1 x))
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (/.f64 1 x)))
(-.f64 (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (/.f64 1 x))) (*.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 x))
(-.f64 (+.f64 (*.f64 -1 (sqrt.f64 -1)) (/.f64 1 x)) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(-.f64 (+.f64 (*.f64 -1 (sqrt.f64 -1)) (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)))) (/.f64 1 x))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(+.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)))))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/8 (pow.f64 x 4))))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) (*.f64 -1/16 (pow.f64 x 6)))))
(*.f64 x (sqrt.f64 -1))
(+.f64 (*.f64 x (sqrt.f64 -1)) (*.f64 1/2 (/.f64 1 (*.f64 x (sqrt.f64 -1)))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 x (sqrt.f64 -1)))) (*.f64 x (sqrt.f64 -1))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3)))))
(-.f64 (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5)))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 x (sqrt.f64 -1)))) (*.f64 x (sqrt.f64 -1)))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3)))))
(*.f64 -1 (*.f64 x (sqrt.f64 -1)))
(-.f64 (*.f64 -1 (*.f64 x (sqrt.f64 -1))) (*.f64 1/2 (/.f64 1 (*.f64 x (sqrt.f64 -1)))))
(-.f64 (+.f64 (*.f64 -1 (*.f64 x (sqrt.f64 -1))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))))) (*.f64 1/2 (/.f64 1 (*.f64 x (sqrt.f64 -1)))))
(-.f64 (+.f64 (*.f64 -1 (*.f64 x (sqrt.f64 -1))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))))) (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5)))) (*.f64 1/2 (/.f64 1 (*.f64 x (sqrt.f64 -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 (sqrt.f64 (-.f64 1 (*.f64 x x))) (pow.f64 x -1))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) 1)
(*.f64 (pow.f64 x -1) (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 (-.f64 1 (*.f64 x x)) (pow.f64 x -2))) (cbrt.f64 (/.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)))) (pow.f64 x -1)))
(*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) (pow.f64 x -1)))
(*.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 x -1/2) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 x)))
(*.f64 (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (pow.f64 (neg.f64 x) -1))
(*.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))) (pow.f64 (cbrt.f64 x) 2)) (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) (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))
(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 (/.f64 1 (cbrt.f64 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 (*.f64 3 (log.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))) 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)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (pow.f64 x -1)))) 1)
(-.f64 (/.f64 (pow.f64 x -2) (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)) (/.f64 (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2)) (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
(*.f64 1 (+.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (pow.f64 x -1)))
(*.f64 (pow.f64 x -1) (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(*.f64 (pow.f64 x -1) (+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1))
(*.f64 (+.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (pow.f64 x -1)) 1)
(*.f64 (cbrt.f64 (+.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (pow.f64 x -1))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (pow.f64 x -1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (pow.f64 x -1))) 2) (cbrt.f64 (+.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (pow.f64 x -1))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) x) (/.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) x))
(*.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (pow.f64 x -2))
(*.f64 (fma.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2) (pow.f64 x -3) (pow.f64 x -3)) (/.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 (-.f64 (pow.f64 x -2) (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2))) (/.f64 1 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
(*.f64 (+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1) (pow.f64 x -1))
(/.f64 1 (/.f64 (*.f64 x x) (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(/.f64 1 (/.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 1 (/.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 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (*.f64 x x))
(/.f64 (fma.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2) (pow.f64 x -3) (pow.f64 x -3)) (-.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 (fma.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2) (pow.f64 x -3) (pow.f64 x -3)) (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 (-.f64 (pow.f64 x -2) (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2))) (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
(/.f64 (+.f64 x (*.f64 (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))) 1)) (*.f64 (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
(/.f64 (fma.f64 -1 x (*.f64 (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))) -1)) (*.f64 (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))) (neg.f64 x)))
(/.f64 (fma.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (neg.f64 x) (*.f64 x -1)) (*.f64 x (neg.f64 x)))
(/.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x (*.f64 (neg.f64 x) 1)) (*.f64 x (neg.f64 x)))
(/.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (neg.f64 x) (*.f64 (neg.f64 x) -1)) (pow.f64 (neg.f64 x) 2))
(/.f64 (+.f64 (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) (*.f64 x (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(/.f64 (fma.f64 -1 x (*.f64 x (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (*.f64 x (neg.f64 x)))
(/.f64 (fma.f64 -1 (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))) (*.f64 (neg.f64 x) 1)) (*.f64 (neg.f64 x) (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(/.f64 (fma.f64 -1 x (*.f64 (neg.f64 x) (sqrt.f64 (-.f64 1 (*.f64 x x))))) (*.f64 x (neg.f64 x)))
(/.f64 (fma.f64 -1 (neg.f64 x) (*.f64 (neg.f64 x) (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (pow.f64 (neg.f64 x) 2))
(/.f64 (neg.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) (*.f64 x (neg.f64 x)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2) (pow.f64 x -3) (pow.f64 x -3))) (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 (neg.f64 (-.f64 (pow.f64 x -2) (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2)))) (neg.f64 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
(/.f64 (-.f64 (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2)) (pow.f64 x -2)) (-.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (pow.f64 x -1)))
(/.f64 (/.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x) 1) (*.f64 x x))
(/.f64 (/.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x) x) x)
(/.f64 (/.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (*.f64 (cbrt.f64 x) x)) (pow.f64 (cbrt.f64 x) 2))
(pow.f64 (+.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (pow.f64 x -1)) 1)
(pow.f64 (E.f64) (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
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(*.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))
(*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1)
(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 (-.f64 1 (*.f64 x x))))
(*.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) (pow.f64 (-.f64 1 (*.f64 x x)) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2) 1/2) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 1/2))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 6))) (hypot.f64 1 (hypot.f64 x (*.f64 x x))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 4))) (hypot.f64 1 x))
(pow.f64 (-.f64 1 (*.f64 x x)) 1/2)
(pow.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 3)
(pow.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2) 1/3)
(pow.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 2) 1/4)
(pow.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) 2)
(fabs.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(cbrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(hypot.f64 1 (sqrt.f64 (*.f64 x (neg.f64 x))))
(exp.f64 (*.f64 1/2 (log1p.f64 (*.f64 x (neg.f64 x)))))
(exp.f64 (*.f64 (log1p.f64 (*.f64 x (neg.f64 x))) 1/2))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (*.f64 x (neg.f64 x)))) 1))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (*.f64 x (neg.f64 x))) 1) 1/2))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (*.f64 x (neg.f64 x))) 1/2) 1))
(exp.f64 (*.f64 (*.f64 (*.f64 1/2 (log1p.f64 (*.f64 x (neg.f64 x)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 3))
(exp.f64 (*.f64 (*.f64 3/2 (log1p.f64 (*.f64 x (neg.f64 x)))) 1/3))
(exp.f64 (*.f64 (*.f64 1/4 (log1p.f64 (*.f64 x (neg.f64 x)))) 2))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
Outputs
(/.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 -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))))
(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 -1/8 (pow.f64 x 3) (fma.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 (sqrt.f64 -1) (/.f64 1/2 (*.f64 (sqrt.f64 -1) (*.f64 x x))))
(fma.f64 1/2 (/.f64 (pow.f64 x -2) (sqrt.f64 -1)) (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 (sqrt.f64 -1) (-.f64 (/.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 (fma.f64 1/2 (/.f64 (pow.f64 x -2) (sqrt.f64 -1)) (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 (+.f64 (+.f64 (sqrt.f64 -1) (/.f64 1/16 (*.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5)))) (/.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 (fma.f64 1/2 (/.f64 (pow.f64 x -2) (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 -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))))
(neg.f64 (fma.f64 1/2 (/.f64 (pow.f64 x -2) (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 1/8 (*.f64 (pow.f64 x 4) (neg.f64 (sqrt.f64 -1)))) (neg.f64 (fma.f64 1/2 (/.f64 (pow.f64 x -2) (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 (-.f64 (fma.f64 -1 (sqrt.f64 -1) (/.f64 1/8 (*.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)))) (/.f64 1/16 (*.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5)))) (/.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)) (fma.f64 1/2 (/.f64 (pow.f64 x -2) (sqrt.f64 -1)) (/.f64 1/16 (*.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5)))))
(/.f64 2 x)
(+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
(fma.f64 -1/2 x (/.f64 2 x))
(fma.f64 x -1/2 (/.f64 2 x))
(+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 -1/8 (pow.f64 x 3)) (*.f64 2 (/.f64 1 x))))
(fma.f64 -1/2 x (fma.f64 -1/8 (pow.f64 x 3) (/.f64 2 x)))
(fma.f64 x -1/2 (fma.f64 -1/8 (pow.f64 x 3) (/.f64 2 x)))
(+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 -1/8 (pow.f64 x 3)) (+.f64 (*.f64 -1/16 (pow.f64 x 5)) (*.f64 2 (/.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 2 x))))
(fma.f64 x -1/2 (fma.f64 -1/8 (pow.f64 x 3) (fma.f64 -1/16 (pow.f64 x 5) (/.f64 2 x))))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (/.f64 1 x))
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (/.f64 1 x)))
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1/2 (*.f64 (sqrt.f64 -1) (*.f64 x x))) (/.f64 1 x)))
(+.f64 (sqrt.f64 -1) (fma.f64 1/2 (/.f64 (pow.f64 x -2) (sqrt.f64 -1)) (/.f64 1 x)))
(-.f64 (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (/.f64 1 x))) (*.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 x)) (/.f64 1/8 (*.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)))))
(+.f64 (sqrt.f64 -1) (+.f64 (fma.f64 1/2 (/.f64 (pow.f64 x -2) (sqrt.f64 -1)) (/.f64 1 x)) (/.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 x))
(fma.f64 -1 (sqrt.f64 -1) (/.f64 1 x))
(-.f64 (/.f64 1 x) (sqrt.f64 -1))
(-.f64 (+.f64 (*.f64 -1 (sqrt.f64 -1)) (/.f64 1 x)) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(-.f64 (fma.f64 -1 (sqrt.f64 -1) (/.f64 1 x)) (/.f64 1/2 (*.f64 (sqrt.f64 -1) (*.f64 x x))))
(+.f64 (-.f64 (/.f64 1 x) (sqrt.f64 -1)) (*.f64 -1/2 (/.f64 (pow.f64 x -2) (sqrt.f64 -1))))
(-.f64 (+.f64 (*.f64 -1 (sqrt.f64 -1)) (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)))) (/.f64 1 x))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(-.f64 (+.f64 (fma.f64 -1 (sqrt.f64 -1) (/.f64 1/8 (*.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)))) (/.f64 1 x)) (/.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 (/.f64 1 x) (*.f64 -1/2 (/.f64 (pow.f64 x -2) (sqrt.f64 -1)))))
(+.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 (*.f64 x x) -1/4)))
(+.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 (pow.f64 x 4) -3/32))))
(+.f64 (fma.f64 (*.f64 x x) -1/4 (*.f64 (pow.f64 x 4) -3/32)) (-.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 (pow.f64 x 6) -5/96)))))
(+.f64 (fma.f64 (*.f64 x x) -1/4 (fma.f64 (pow.f64 x 4) -3/32 (*.f64 (pow.f64 x 6) -5/96))) (-.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 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 (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 (/.f64 (/.f64 1 x) (sqrt.f64 -1)) (+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 -1/6 (*.f64 (pow.f64 x 3) (neg.f64 (sqrt.f64 -1))))))
(-.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 (log.f64 (sqrt.f64 -1)) (-.f64 (+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (/.f64 3/40 (*.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5)))) (/.f64 1/6 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3)))))
(+.f64 (+.f64 (/.f64 (/.f64 1 x) (sqrt.f64 -1)) (/.f64 3/40 (*.f64 (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))))))
(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 -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 -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 (log.f64 (neg.f64 (sqrt.f64 -1))) (-.f64 (-.f64 (/.f64 1/6 (*.f64 (pow.f64 x 3) (neg.f64 (sqrt.f64 -1)))) (/.f64 (/.f64 1 x) (sqrt.f64 -1))) (/.f64 3/40 (*.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5)))))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1/2 (*.f64 x x)))
(fma.f64 -1/2 (*.f64 x x) 1)
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/8 (pow.f64 x 4))))
(+.f64 1 (fma.f64 -1/2 (*.f64 x x) (*.f64 -1/8 (pow.f64 x 4))))
(+.f64 1 (fma.f64 -1/8 (pow.f64 x 4) (*.f64 -1/2 (*.f64 x x))))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) (*.f64 -1/16 (pow.f64 x 6)))))
(+.f64 1 (fma.f64 -1/2 (*.f64 x x) (fma.f64 -1/8 (pow.f64 x 4) (*.f64 -1/16 (pow.f64 x 6)))))
(+.f64 (fma.f64 -1/2 (*.f64 x x) 1) (fma.f64 -1/8 (pow.f64 x 4) (*.f64 -1/16 (pow.f64 x 6))))
(*.f64 x (sqrt.f64 -1))
(+.f64 (*.f64 x (sqrt.f64 -1)) (*.f64 1/2 (/.f64 1 (*.f64 x (sqrt.f64 -1)))))
(fma.f64 x (sqrt.f64 -1) (/.f64 1/2 (*.f64 x (sqrt.f64 -1))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 x (sqrt.f64 -1)))) (*.f64 x (sqrt.f64 -1))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3)))))
(-.f64 (fma.f64 x (sqrt.f64 -1) (/.f64 1/2 (*.f64 x (sqrt.f64 -1)))) (/.f64 1/8 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))))
(+.f64 (fma.f64 x (sqrt.f64 -1) (/.f64 1/2 (*.f64 x (sqrt.f64 -1)))) (/.f64 -1/8 (*.f64 (pow.f64 x 3) (neg.f64 (sqrt.f64 -1)))))
(-.f64 (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5)))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 x (sqrt.f64 -1)))) (*.f64 x (sqrt.f64 -1)))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3)))))
(+.f64 (/.f64 1/16 (*.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5))) (-.f64 (fma.f64 x (sqrt.f64 -1) (/.f64 1/2 (*.f64 x (sqrt.f64 -1)))) (/.f64 1/8 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3)))))
(+.f64 (fma.f64 x (sqrt.f64 -1) (/.f64 1/2 (*.f64 x (sqrt.f64 -1)))) (-.f64 (/.f64 1/16 (*.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5))) (/.f64 1/8 (*.f64 (pow.f64 x 3) (neg.f64 (sqrt.f64 -1))))))
(*.f64 -1 (*.f64 x (sqrt.f64 -1)))
(*.f64 (neg.f64 x) (sqrt.f64 -1))
(*.f64 x (neg.f64 (sqrt.f64 -1)))
(-.f64 (*.f64 -1 (*.f64 x (sqrt.f64 -1))) (*.f64 1/2 (/.f64 1 (*.f64 x (sqrt.f64 -1)))))
(-.f64 (*.f64 (neg.f64 x) (sqrt.f64 -1)) (/.f64 1/2 (*.f64 x (sqrt.f64 -1))))
(neg.f64 (fma.f64 x (sqrt.f64 -1) (/.f64 1/2 (*.f64 x (sqrt.f64 -1)))))
(-.f64 (+.f64 (*.f64 -1 (*.f64 x (sqrt.f64 -1))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))))) (*.f64 1/2 (/.f64 1 (*.f64 x (sqrt.f64 -1)))))
(-.f64 (fma.f64 -1 (*.f64 x (sqrt.f64 -1)) (/.f64 1/8 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3)))) (/.f64 1/2 (*.f64 x (sqrt.f64 -1))))
(+.f64 (/.f64 1/8 (*.f64 (pow.f64 x 3) (neg.f64 (sqrt.f64 -1)))) (neg.f64 (fma.f64 x (sqrt.f64 -1) (/.f64 1/2 (*.f64 x (sqrt.f64 -1))))))
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(sqrt.f64 (-.f64 1 (*.f64 x x)))
(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 (-.f64 1 (*.f64 x x))))
(*.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(*.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) (pow.f64 (-.f64 1 (*.f64 x x)) 1/4))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))))
(*.f64 (fabs.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))))
(*.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2) 1/2) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))))
(*.f64 (fabs.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))))
(*.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 6))) (hypot.f64 1 (hypot.f64 x (*.f64 x x))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 4))) (hypot.f64 1 x))
(pow.f64 (-.f64 1 (*.f64 x x)) 1/2)
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(pow.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1)
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 3)
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(pow.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2) 1/3)
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(pow.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 2) 1/4)
(pow.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) 2)
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(fabs.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(cbrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(hypot.f64 1 (sqrt.f64 (*.f64 x (neg.f64 x))))
(exp.f64 (*.f64 1/2 (log1p.f64 (*.f64 x (neg.f64 x)))))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(exp.f64 (*.f64 (log1p.f64 (*.f64 x (neg.f64 x))) 1/2))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (*.f64 x (neg.f64 x)))) 1))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (*.f64 x (neg.f64 x))) 1) 1/2))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (*.f64 x (neg.f64 x))) 1/2) 1))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(exp.f64 (*.f64 (*.f64 (*.f64 1/2 (log1p.f64 (*.f64 x (neg.f64 x)))) 1) 1))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 3))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(exp.f64 (*.f64 (*.f64 3/2 (log1p.f64 (*.f64 x (neg.f64 x)))) 1/3))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(exp.f64 (*.f64 (*.f64 1/4 (log1p.f64 (*.f64 x (neg.f64 x)))) 2))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(sqrt.f64 (-.f64 1 (*.f64 x x)))

eval367.0ms (4.2%)

Compiler

Compiled 8751 to 5943 computations (32.1% saved)

prune223.0ms (2.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New4184422
Fresh000
Picked011
Done000
Total4185423
Accuracy
100.0%
Counts
423 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
98.1%
(log.f64 (/.f64 2 x))
100.0%
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
98.9%
(log.f64 (+.f64 (/.f64 1 x) (+.f64 (*.f64 -1/2 x) (/.f64 1 x))))
98.9%
(log.f64 (+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))
100.0%
(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
98.1%
(log.f64 (/.f64 2 x))
100.0%
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
98.9%
(log.f64 (+.f64 (/.f64 1 x) (+.f64 (*.f64 -1/2 x) (/.f64 1 x))))
98.9%
(log.f64 (+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))
Compiler

Compiled 110 to 84 computations (23.6% saved)

localize500.0ms (5.7%)

Localize:

Found 7 expressions with local error:

NewAccuracyProgram
100.0%
(sqrt.f64 (-.f64 1 (*.f64 x x)))
100.0%
(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
100.0%
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
100.0%
(+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))
100.0%
(+.f64 (*.f64 -1/2 x) (/.f64 1 x))
100.0%
(+.f64 (/.f64 1 x) (+.f64 (*.f64 -1/2 x) (/.f64 1 x)))
100.0%
(+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
Compiler

Compiled 129 to 87 computations (32.6% saved)

series10.0ms (0.1%)

Counts
6 → 54
Calls

18 calls:

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

rewrite372.0ms (4.3%)

Algorithm
batch-egg-rewrite
Rules
972×fma-neg
744×expm1-udef
740×log1p-udef
442×add-sqr-sqrt
426×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
019142
1433140
26263140
Stop Event
node limit
Counts
6 → 218
Calls
Call 1
Inputs
(+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
(+.f64 (/.f64 1 x) (+.f64 (*.f64 -1/2 x) (/.f64 1 x)))
(+.f64 (*.f64 -1/2 x) (/.f64 1 x))
(+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
Outputs
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 1)
(-.f64 (/.f64 (*.f64 (*.f64 x x) 1/4) (-.f64 (*.f64 -1/2 x) (/.f64 2 x))) (/.f64 (*.f64 4 (pow.f64 x -2)) (-.f64 (*.f64 -1/2 x) (/.f64 2 x))))
(*.f64 1 (fma.f64 -1/2 x (/.f64 2 x)))
(*.f64 (fma.f64 -1/2 x (/.f64 2 x)) 1)
(*.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) (cbrt.f64 (pow.f64 (fma.f64 -1/2 x (/.f64 2 x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/2 x (/.f64 2 x)) 2)) (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x))))
(*.f64 (sqrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) (sqrt.f64 (fma.f64 -1/2 x (/.f64 2 x))))
(*.f64 (+.f64 (*.f64 8 (pow.f64 x -3)) (*.f64 -1/8 (pow.f64 x 3))) (/.f64 1 (+.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (*.f64 -1/2 x))))))
(*.f64 (fma.f64 (*.f64 x x) 1/4 (neg.f64 (*.f64 4 (pow.f64 x -2)))) (/.f64 1 (-.f64 (*.f64 -1/2 x) (/.f64 2 x))))
(/.f64 1 (/.f64 (+.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (*.f64 -1/2 x)))) (+.f64 (*.f64 8 (pow.f64 x -3)) (*.f64 -1/8 (pow.f64 x 3)))))
(/.f64 1 (/.f64 (-.f64 (*.f64 -1/2 x) (/.f64 2 x)) (fma.f64 (*.f64 x x) 1/4 (neg.f64 (*.f64 4 (pow.f64 x -2))))))
(/.f64 (+.f64 (*.f64 8 (pow.f64 x -3)) (*.f64 -1/8 (pow.f64 x 3))) (+.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (*.f64 -1/2 x)))))
(/.f64 (+.f64 (*.f64 8 (pow.f64 x -3)) (*.f64 -1/8 (pow.f64 x 3))) (+.f64 (*.f64 4 (pow.f64 x -2)) (-.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 -1/2 (*.f64 x (/.f64 2 x))))))
(/.f64 (fma.f64 (*.f64 x x) 1/4 (neg.f64 (*.f64 4 (pow.f64 x -2)))) (-.f64 (*.f64 -1/2 x) (/.f64 2 x)))
(/.f64 (neg.f64 (+.f64 (*.f64 8 (pow.f64 x -3)) (*.f64 -1/8 (pow.f64 x 3)))) (neg.f64 (+.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (*.f64 -1/2 x))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) 1/4 (neg.f64 (*.f64 4 (pow.f64 x -2))))) (neg.f64 (-.f64 (*.f64 -1/2 x) (/.f64 2 x))))
(/.f64 (-.f64 (*.f64 4 (pow.f64 x -2)) (*.f64 (*.f64 x x) 1/4)) (-.f64 (/.f64 2 x) (*.f64 -1/2 x)))
(pow.f64 (fma.f64 -1/2 x (/.f64 2 x)) 1)
(pow.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) 3)
(pow.f64 (pow.f64 (fma.f64 -1/2 x (/.f64 2 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) 2)
(sqrt.f64 (pow.f64 (fma.f64 -1/2 x (/.f64 2 x)) 2))
(log.f64 (exp.f64 (fma.f64 -1/2 x (/.f64 2 x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/2 x (/.f64 2 x)))))
(cbrt.f64 (pow.f64 (fma.f64 -1/2 x (/.f64 2 x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 -1/2 x (/.f64 2 x))))
(exp.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))))
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))) 1))
(log1p.f64 (expm1.f64 (fma.f64 -1/2 x (/.f64 2 x))))
(fma.f64 -1/2 x (/.f64 2 x))
(fma.f64 x -1/2 (/.f64 2 x))
(fma.f64 2 (/.f64 1 x) (*.f64 -1/2 x))
(fma.f64 1 (*.f64 -1/2 x) (/.f64 2 x))
(fma.f64 1 (/.f64 2 x) (*.f64 -1/2 x))
(fma.f64 (/.f64 1 x) 2 (*.f64 -1/2 x))
(fma.f64 (cbrt.f64 (*.f64 4 (pow.f64 x -2))) (cbrt.f64 (/.f64 2 x)) (*.f64 -1/2 x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 -1/2 x)) 2) (cbrt.f64 (*.f64 -1/2 x)) (/.f64 2 x))
(fma.f64 (sqrt.f64 (/.f64 2 x)) (sqrt.f64 (/.f64 2 x)) (*.f64 -1/2 x))
(fma.f64 (sqrt.f64 (*.f64 -1/2 x)) (sqrt.f64 (*.f64 -1/2 x)) (/.f64 2 x))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 1 x) (fma.f64 -1/2 x (/.f64 1 x))))) 1)
(-.f64 (/.f64 (pow.f64 x -2) (-.f64 (/.f64 1 x) (fma.f64 -1/2 x (/.f64 1 x)))) (/.f64 (pow.f64 (fma.f64 -1/2 x (/.f64 1 x)) 2) (-.f64 (/.f64 1 x) (fma.f64 -1/2 x (/.f64 1 x)))))
(*.f64 1 (+.f64 (/.f64 1 x) (fma.f64 -1/2 x (/.f64 1 x))))
(*.f64 (+.f64 (/.f64 1 x) (fma.f64 -1/2 x (/.f64 1 x))) 1)
(*.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (fma.f64 -1/2 x (/.f64 1 x)))) (cbrt.f64 (pow.f64 (+.f64 (/.f64 1 x) (fma.f64 -1/2 x (/.f64 1 x))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 1 x) (fma.f64 -1/2 x (/.f64 1 x))) 2)) (cbrt.f64 (+.f64 (/.f64 1 x) (fma.f64 -1/2 x (/.f64 1 x)))))
(*.f64 (sqrt.f64 (+.f64 (/.f64 1 x) (fma.f64 -1/2 x (/.f64 1 x)))) (sqrt.f64 (+.f64 (/.f64 1 x) (fma.f64 -1/2 x (/.f64 1 x)))))
(*.f64 (+.f64 (pow.f64 (fma.f64 -1/2 x (/.f64 1 x)) 3) (pow.f64 x -3)) (/.f64 1 (+.f64 (pow.f64 x -2) (-.f64 (pow.f64 (fma.f64 -1/2 x (/.f64 1 x)) 2) (/.f64 (fma.f64 -1/2 x (/.f64 1 x)) x)))))
(*.f64 (-.f64 (pow.f64 x -2) (pow.f64 (fma.f64 -1/2 x (/.f64 1 x)) 2)) (/.f64 1 (-.f64 (/.f64 1 x) (fma.f64 -1/2 x (/.f64 1 x)))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 x -2) (-.f64 (pow.f64 (fma.f64 -1/2 x (/.f64 1 x)) 2) (/.f64 (fma.f64 -1/2 x (/.f64 1 x)) x))) (+.f64 (pow.f64 (fma.f64 -1/2 x (/.f64 1 x)) 3) (pow.f64 x -3))))
(/.f64 1 (/.f64 (-.f64 (/.f64 1 x) (fma.f64 -1/2 x (/.f64 1 x))) (-.f64 (pow.f64 x -2) (pow.f64 (fma.f64 -1/2 x (/.f64 1 x)) 2))))
(/.f64 (+.f64 (pow.f64 (fma.f64 -1/2 x (/.f64 1 x)) 3) (pow.f64 x -3)) (+.f64 (pow.f64 x -2) (-.f64 (pow.f64 (fma.f64 -1/2 x (/.f64 1 x)) 2) (/.f64 (fma.f64 -1/2 x (/.f64 1 x)) x))))
(/.f64 (+.f64 (pow.f64 (fma.f64 -1/2 x (/.f64 1 x)) 3) (pow.f64 x -3)) (+.f64 (pow.f64 (fma.f64 -1/2 x (/.f64 1 x)) 2) (-.f64 (pow.f64 x -2) (/.f64 (fma.f64 -1/2 x (/.f64 1 x)) x))))
(/.f64 (-.f64 (pow.f64 x -2) (pow.f64 (fma.f64 -1/2 x (/.f64 1 x)) 2)) (-.f64 (/.f64 1 x) (fma.f64 -1/2 x (/.f64 1 x))))
(/.f64 (+.f64 (+.f64 (*.f64 (*.f64 x x) 1/4) (-.f64 (pow.f64 x -2) (/.f64 (*.f64 -1/2 x) x))) (*.f64 x (+.f64 (*.f64 -1/8 (pow.f64 x 3)) (pow.f64 x -3)))) (*.f64 x (+.f64 (*.f64 (*.f64 x x) 1/4) (-.f64 (pow.f64 x -2) (/.f64 (*.f64 -1/2 x) x)))))
(/.f64 (+.f64 (-.f64 (*.f64 -1/2 x) (/.f64 1 x)) (*.f64 x (fma.f64 (*.f64 x x) 1/4 (neg.f64 (pow.f64 x -2))))) (*.f64 x (-.f64 (*.f64 -1/2 x) (/.f64 1 x))))
(/.f64 (+.f64 (*.f64 -1 (+.f64 (*.f64 (*.f64 x x) 1/4) (-.f64 (pow.f64 x -2) (/.f64 (*.f64 -1/2 x) x)))) (*.f64 (neg.f64 x) (+.f64 (*.f64 -1/8 (pow.f64 x 3)) (pow.f64 x -3)))) (*.f64 (neg.f64 x) (+.f64 (*.f64 (*.f64 x x) 1/4) (-.f64 (pow.f64 x -2) (/.f64 (*.f64 -1/2 x) x)))))
(/.f64 (+.f64 (*.f64 -1 (-.f64 (*.f64 -1/2 x) (/.f64 1 x))) (*.f64 (neg.f64 x) (fma.f64 (*.f64 x x) 1/4 (neg.f64 (pow.f64 x -2))))) (*.f64 (neg.f64 x) (-.f64 (*.f64 -1/2 x) (/.f64 1 x))))
(/.f64 (+.f64 (*.f64 (+.f64 (*.f64 -1/8 (pow.f64 x 3)) (pow.f64 x -3)) x) (*.f64 (+.f64 (*.f64 (*.f64 x x) 1/4) (-.f64 (pow.f64 x -2) (/.f64 (*.f64 -1/2 x) x))) 1)) (*.f64 (+.f64 (*.f64 (*.f64 x x) 1/4) (-.f64 (pow.f64 x -2) (/.f64 (*.f64 -1/2 x) x))) x))
(/.f64 (+.f64 (*.f64 (+.f64 (*.f64 -1/8 (pow.f64 x 3)) (pow.f64 x -3)) (neg.f64 x)) (*.f64 (+.f64 (*.f64 (*.f64 x x) 1/4) (-.f64 (pow.f64 x -2) (/.f64 (*.f64 -1/2 x) x))) -1)) (*.f64 (+.f64 (*.f64 (*.f64 x x) 1/4) (-.f64 (pow.f64 x -2) (/.f64 (*.f64 -1/2 x) x))) (neg.f64 x)))
(/.f64 (+.f64 (*.f64 (fma.f64 (*.f64 x x) 1/4 (neg.f64 (pow.f64 x -2))) x) (*.f64 (-.f64 (*.f64 -1/2 x) (/.f64 1 x)) 1)) (*.f64 (-.f64 (*.f64 -1/2 x) (/.f64 1 x)) x))
(/.f64 (+.f64 (*.f64 (fma.f64 (*.f64 x x) 1/4 (neg.f64 (pow.f64 x -2))) (neg.f64 x)) (*.f64 (-.f64 (*.f64 -1/2 x) (/.f64 1 x)) -1)) (*.f64 (-.f64 (*.f64 -1/2 x) (/.f64 1 x)) (neg.f64 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 -1/2 x (/.f64 1 x)) 3) (pow.f64 x -3))) (neg.f64 (+.f64 (pow.f64 x -2) (-.f64 (pow.f64 (fma.f64 -1/2 x (/.f64 1 x)) 2) (/.f64 (fma.f64 -1/2 x (/.f64 1 x)) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x -2) (pow.f64 (fma.f64 -1/2 x (/.f64 1 x)) 2))) (neg.f64 (-.f64 (/.f64 1 x) (fma.f64 -1/2 x (/.f64 1 x)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 -1/2 x (/.f64 1 x)) 2) (pow.f64 x -2)) (-.f64 (fma.f64 -1/2 x (/.f64 1 x)) (/.f64 1 x)))
(pow.f64 (+.f64 (/.f64 1 x) (fma.f64 -1/2 x (/.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (fma.f64 -1/2 x (/.f64 1 x)))) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 1 x) (fma.f64 -1/2 x (/.f64 1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 1 x) (fma.f64 -1/2 x (/.f64 1 x)))) 2)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 1 x) (fma.f64 -1/2 x (/.f64 1 x))) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 1 x) (fma.f64 -1/2 x (/.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 1 x) (fma.f64 -1/2 x (/.f64 1 x))))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 1 x) (fma.f64 -1/2 x (/.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 1 x) (fma.f64 -1/2 x (/.f64 1 x)))))
(exp.f64 (log.f64 (+.f64 (/.f64 1 x) (fma.f64 -1/2 x (/.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 1 x) (fma.f64 -1/2 x (/.f64 1 x)))) 1))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 1 x) (fma.f64 -1/2 x (/.f64 1 x)))))
(fma.f64 1 (/.f64 1 x) (fma.f64 -1/2 x (/.f64 1 x)))
(fma.f64 1 (fma.f64 -1/2 x (/.f64 1 x)) (/.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 1 x))) 2) (cbrt.f64 (fma.f64 -1/2 x (/.f64 1 x))) (/.f64 1 x))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)) (fma.f64 -1/2 x (/.f64 1 x)))
(fma.f64 (sqrt.f64 (fma.f64 -1/2 x (/.f64 1 x))) (sqrt.f64 (fma.f64 -1/2 x (/.f64 1 x))) (/.f64 1 x))
(fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (fma.f64 -1/2 x (/.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/2 x (/.f64 1 x)))) 1)
(-.f64 (/.f64 (*.f64 (*.f64 x x) 1/4) (-.f64 (*.f64 -1/2 x) (/.f64 1 x))) (/.f64 (pow.f64 x -2) (-.f64 (*.f64 -1/2 x) (/.f64 1 x))))
(*.f64 1 (fma.f64 -1/2 x (/.f64 1 x)))
(*.f64 (fma.f64 -1/2 x (/.f64 1 x)) 1)
(*.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 1 x))) (pow.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 1 x))) 2) (cbrt.f64 (fma.f64 -1/2 x (/.f64 1 x))))
(*.f64 (sqrt.f64 (fma.f64 -1/2 x (/.f64 1 x))) (sqrt.f64 (fma.f64 -1/2 x (/.f64 1 x))))
(*.f64 (+.f64 (*.f64 -1/8 (pow.f64 x 3)) (pow.f64 x -3)) (/.f64 1 (+.f64 (*.f64 (*.f64 x x) 1/4) (-.f64 (pow.f64 x -2) (/.f64 (*.f64 -1/2 x) x)))))
(*.f64 (fma.f64 (*.f64 x x) 1/4 (neg.f64 (pow.f64 x -2))) (/.f64 1 (-.f64 (*.f64 -1/2 x) (/.f64 1 x))))
(/.f64 1 (/.f64 (+.f64 (*.f64 (*.f64 x x) 1/4) (-.f64 (pow.f64 x -2) (/.f64 (*.f64 -1/2 x) x))) (+.f64 (*.f64 -1/8 (pow.f64 x 3)) (pow.f64 x -3))))
(/.f64 1 (/.f64 (-.f64 (*.f64 -1/2 x) (/.f64 1 x)) (fma.f64 (*.f64 x x) 1/4 (neg.f64 (pow.f64 x -2)))))
(/.f64 (+.f64 (*.f64 -1/8 (pow.f64 x 3)) (pow.f64 x -3)) (+.f64 (*.f64 (*.f64 x x) 1/4) (-.f64 (pow.f64 x -2) (/.f64 (*.f64 -1/2 x) x))))
(/.f64 (+.f64 (*.f64 -1/8 (pow.f64 x 3)) (pow.f64 x -3)) (+.f64 (pow.f64 x -2) (-.f64 (*.f64 (*.f64 x x) 1/4) (/.f64 (*.f64 -1/2 x) x))))
(/.f64 (fma.f64 (*.f64 x x) 1/4 (neg.f64 (pow.f64 x -2))) (-.f64 (*.f64 -1/2 x) (/.f64 1 x)))
(/.f64 (neg.f64 (+.f64 (*.f64 -1/8 (pow.f64 x 3)) (pow.f64 x -3))) (neg.f64 (+.f64 (*.f64 (*.f64 x x) 1/4) (-.f64 (pow.f64 x -2) (/.f64 (*.f64 -1/2 x) x)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) 1/4 (neg.f64 (pow.f64 x -2)))) (neg.f64 (-.f64 (*.f64 -1/2 x) (/.f64 1 x))))
(/.f64 (-.f64 (pow.f64 x -2) (*.f64 (*.f64 x x) 1/4)) (-.f64 (/.f64 1 x) (*.f64 -1/2 x)))
(pow.f64 (fma.f64 -1/2 x (/.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 1 x))) 3)
(pow.f64 (pow.f64 (fma.f64 -1/2 x (/.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 -1/2 x (/.f64 1 x))) 2)
(sqrt.f64 (pow.f64 (fma.f64 -1/2 x (/.f64 1 x)) 2))
(log.f64 (exp.f64 (fma.f64 -1/2 x (/.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/2 x (/.f64 1 x)))))
(cbrt.f64 (pow.f64 (fma.f64 -1/2 x (/.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 -1/2 x (/.f64 1 x))))
(exp.f64 (log.f64 (fma.f64 -1/2 x (/.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/2 x (/.f64 1 x))) 1))
(log1p.f64 (expm1.f64 (fma.f64 -1/2 x (/.f64 1 x))))
(fma.f64 -1/2 x (/.f64 1 x))
(fma.f64 x -1/2 (/.f64 1 x))
(fma.f64 1 (*.f64 -1/2 x) (/.f64 1 x))
(fma.f64 1 (/.f64 1 x) (*.f64 -1/2 x))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)) (*.f64 -1/2 x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 -1/2 x)) 2) (cbrt.f64 (*.f64 -1/2 x)) (/.f64 1 x))
(fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (*.f64 -1/2 x))
(fma.f64 (sqrt.f64 (*.f64 -1/2 x)) (sqrt.f64 (*.f64 -1/2 x)) (/.f64 1 x))
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) 1)
(-.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (/.f64 (-.f64 1 (*.f64 x x)) (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(*.f64 1 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(*.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 1)
(*.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 2) (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(*.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)))
(*.f64 (+.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2)) (/.f64 1 (+.f64 1 (-.f64 (-.f64 1 (*.f64 x x)) (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(*.f64 (+.f64 0 (*.f64 x x)) (/.f64 1 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(/.f64 1 (/.f64 (+.f64 1 (-.f64 (-.f64 1 (*.f64 x x)) (sqrt.f64 (-.f64 1 (*.f64 x x))))) (+.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2))))
(/.f64 1 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (+.f64 0 (*.f64 x x))))
(/.f64 (+.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2)) (+.f64 1 (-.f64 (-.f64 1 (*.f64 x x)) (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(/.f64 (+.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2)) (+.f64 (-.f64 1 (*.f64 x x)) (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(/.f64 (+.f64 0 (*.f64 x x)) (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(/.f64 (*.f64 x (neg.f64 x)) (-.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2))) (neg.f64 (+.f64 1 (-.f64 (-.f64 1 (*.f64 x x)) (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(/.f64 (neg.f64 (+.f64 0 (*.f64 x x))) (neg.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(pow.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 3)
(pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 3) 1/3)
(pow.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) 2)
(sqrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 2))
(log.f64 (exp.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(exp.f64 (*.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 1))
(log1p.f64 (expm1.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(fma.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1)
(fma.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 1)
(fma.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) 1)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))) 1)
(*.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
(*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(*.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (/.f64 1 x))
(*.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) 1)
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)) (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) 2)) (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 2) (*.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (/.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)) (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
(*.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) (*.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) (/.f64 1 x)))
(*.f64 (pow.f64 x -1/2) (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 x)))
(*.f64 (+.f64 -1 (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (/.f64 1 (neg.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (sqrt.f64 x)))
(*.f64 (/.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) 1) (/.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) x))
(*.f64 (/.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) (cbrt.f64 x)))
(*.f64 (*.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x)))
(*.f64 (*.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (pow.f64 x -1/2)) (pow.f64 x -1/2))
(pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) 1)
(pow.f64 (E.f64) (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)) 2)
(pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) -1)
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)))) (sqrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)) 2))) (cbrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))))
(neg.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (neg.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 3) (pow.f64 x -3)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
(exp.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
(+.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (neg.f64 (log.f64 x)))
(+.f64 0 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) 2))) (log.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))) (log.f64 (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(-.f64 0 (log.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(-.f64 (log.f64 (+.f64 -1 (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (log.f64 (neg.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)))) 1)
(*.f64 1 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)))
(*.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)) 1)
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))) (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)) 2)) (cbrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))))
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))) (sqrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 3) (pow.f64 (log.f64 x) 3)) (+.f64 (*.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (+.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)))))
(/.f64 (fma.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (neg.f64 (*.f64 (log.f64 x) (log.f64 x)))) (+.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)))
(pow.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)) 1)
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))) 3)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))) 2)
(neg.f64 (log.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)) 2))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)) 3))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))))
(exp.f64 (log.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))))
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))) 1))
(log1p.f64 (-.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) 1))
(fma.f64 1 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (neg.f64 (log.f64 x)))
(fma.f64 (*.f64 (cbrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (cbrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (cbrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (neg.f64 (log.f64 x)))
(fma.f64 (sqrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (sqrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (neg.f64 (log.f64 x)))

simplify449.0ms (5.1%)

Algorithm
egg-herbie
Rules
912×fma-neg
680×div-sub
572×log-prod
468×fma-def
440×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
059310620
114839988
255259768
Stop Event
node limit
Counts
272 → 391
Calls
Call 1
Inputs
(/.f64 2 x)
(*.f64 -1/2 x)
(*.f64 -1/2 x)
(/.f64 2 x)
(+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
(+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
(+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
(*.f64 -1/2 x)
(+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
(+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
(+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
(*.f64 -1/2 x)
(+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
(+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
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(/.f64 (neg.f64 (+.f64 (*.f64 -1/8 (pow.f64 x 3)) (pow.f64 x -3))) (neg.f64 (+.f64 (*.f64 (*.f64 x x) 1/4) (-.f64 (pow.f64 x -2) (/.f64 (*.f64 -1/2 x) x)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) 1/4 (neg.f64 (pow.f64 x -2)))) (neg.f64 (-.f64 (*.f64 -1/2 x) (/.f64 1 x))))
(/.f64 (-.f64 (pow.f64 x -2) (*.f64 (*.f64 x x) 1/4)) (-.f64 (/.f64 1 x) (*.f64 -1/2 x)))
(pow.f64 (fma.f64 -1/2 x (/.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 1 x))) 3)
(pow.f64 (pow.f64 (fma.f64 -1/2 x (/.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 -1/2 x (/.f64 1 x))) 2)
(sqrt.f64 (pow.f64 (fma.f64 -1/2 x (/.f64 1 x)) 2))
(log.f64 (exp.f64 (fma.f64 -1/2 x (/.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/2 x (/.f64 1 x)))))
(cbrt.f64 (pow.f64 (fma.f64 -1/2 x (/.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 -1/2 x (/.f64 1 x))))
(exp.f64 (log.f64 (fma.f64 -1/2 x (/.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/2 x (/.f64 1 x))) 1))
(log1p.f64 (expm1.f64 (fma.f64 -1/2 x (/.f64 1 x))))
(fma.f64 -1/2 x (/.f64 1 x))
(fma.f64 x -1/2 (/.f64 1 x))
(fma.f64 1 (*.f64 -1/2 x) (/.f64 1 x))
(fma.f64 1 (/.f64 1 x) (*.f64 -1/2 x))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)) (*.f64 -1/2 x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 -1/2 x)) 2) (cbrt.f64 (*.f64 -1/2 x)) (/.f64 1 x))
(fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (*.f64 -1/2 x))
(fma.f64 (sqrt.f64 (*.f64 -1/2 x)) (sqrt.f64 (*.f64 -1/2 x)) (/.f64 1 x))
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) 1)
(-.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (/.f64 (-.f64 1 (*.f64 x x)) (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(*.f64 1 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(*.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 1)
(*.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 2) (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(*.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)))
(*.f64 (+.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2)) (/.f64 1 (+.f64 1 (-.f64 (-.f64 1 (*.f64 x x)) (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(*.f64 (+.f64 0 (*.f64 x x)) (/.f64 1 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(/.f64 1 (/.f64 (+.f64 1 (-.f64 (-.f64 1 (*.f64 x x)) (sqrt.f64 (-.f64 1 (*.f64 x x))))) (+.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2))))
(/.f64 1 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (+.f64 0 (*.f64 x x))))
(/.f64 (+.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2)) (+.f64 1 (-.f64 (-.f64 1 (*.f64 x x)) (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(/.f64 (+.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2)) (+.f64 (-.f64 1 (*.f64 x x)) (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(/.f64 (+.f64 0 (*.f64 x x)) (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(/.f64 (*.f64 x (neg.f64 x)) (-.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2))) (neg.f64 (+.f64 1 (-.f64 (-.f64 1 (*.f64 x x)) (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(/.f64 (neg.f64 (+.f64 0 (*.f64 x x))) (neg.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(pow.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 3)
(pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 3) 1/3)
(pow.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) 2)
(sqrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 2))
(log.f64 (exp.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(exp.f64 (*.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 1))
(log1p.f64 (expm1.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(fma.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1)
(fma.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 1)
(fma.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) 1)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))) 1)
(*.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
(*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(*.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (/.f64 1 x))
(*.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) 1)
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)) (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) 2)) (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 2) (*.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (/.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)) (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
(*.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) (*.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) (/.f64 1 x)))
(*.f64 (pow.f64 x -1/2) (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 x)))
(*.f64 (+.f64 -1 (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (/.f64 1 (neg.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (sqrt.f64 x)))
(*.f64 (/.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) 1) (/.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) x))
(*.f64 (/.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) (cbrt.f64 x)))
(*.f64 (*.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x)))
(*.f64 (*.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (pow.f64 x -1/2)) (pow.f64 x -1/2))
(pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) 1)
(pow.f64 (E.f64) (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)) 2)
(pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) -1)
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)))) (sqrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)) 2))) (cbrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))))
(neg.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (neg.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 3) (pow.f64 x -3)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
(exp.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
(+.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (neg.f64 (log.f64 x)))
(+.f64 0 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) 2))) (log.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))) (log.f64 (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(-.f64 0 (log.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(-.f64 (log.f64 (+.f64 -1 (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (log.f64 (neg.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)))) 1)
(*.f64 1 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)))
(*.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)) 1)
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))) (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)) 2)) (cbrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))))
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))) (sqrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 3) (pow.f64 (log.f64 x) 3)) (+.f64 (*.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (+.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)))))
(/.f64 (fma.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (neg.f64 (*.f64 (log.f64 x) (log.f64 x)))) (+.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)))
(pow.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)) 1)
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))) 3)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))) 2)
(neg.f64 (log.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)) 2))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)) 3))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))))
(exp.f64 (log.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))))
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))) 1))
(log1p.f64 (-.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) 1))
(fma.f64 1 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (neg.f64 (log.f64 x)))
(fma.f64 (*.f64 (cbrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (cbrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (cbrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (neg.f64 (log.f64 x)))
(fma.f64 (sqrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (sqrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (neg.f64 (log.f64 x)))
Outputs
(/.f64 2 x)
(*.f64 -1/2 x)
(*.f64 x -1/2)
(*.f64 -1/2 x)
(*.f64 x -1/2)
(/.f64 2 x)
(+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
(fma.f64 x -1/2 (/.f64 2 x))
(+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
(fma.f64 x -1/2 (/.f64 2 x))
(+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
(fma.f64 x -1/2 (/.f64 2 x))
(*.f64 -1/2 x)
(*.f64 x -1/2)
(+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
(fma.f64 x -1/2 (/.f64 2 x))
(+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
(fma.f64 x -1/2 (/.f64 2 x))
(+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
(fma.f64 x -1/2 (/.f64 2 x))
(*.f64 -1/2 x)
(*.f64 x -1/2)
(+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
(fma.f64 x -1/2 (/.f64 2 x))
(+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
(fma.f64 x -1/2 (/.f64 2 x))
(+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
(fma.f64 x -1/2 (/.f64 2 x))
(/.f64 1 x)
(*.f64 -1/2 x)
(*.f64 x -1/2)
(*.f64 -1/2 x)
(*.f64 x -1/2)
2
(+.f64 2 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 2 (*.f64 -1/2 (*.f64 x x)))
(fma.f64 -1/2 (*.f64 x x) 2)
(+.f64 2 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/8 (pow.f64 x 4))))
(+.f64 2 (fma.f64 -1/2 (*.f64 x x) (*.f64 -1/8 (pow.f64 x 4))))
(+.f64 (fma.f64 -1/2 (*.f64 x x) 2) (*.f64 -1/8 (pow.f64 x 4)))
(+.f64 2 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) (*.f64 -1/16 (pow.f64 x 6)))))
(+.f64 2 (fma.f64 -1/2 (*.f64 x x) (fma.f64 -1/8 (pow.f64 x 4) (*.f64 -1/16 (pow.f64 x 6)))))
(+.f64 (fma.f64 -1/2 (*.f64 x x) 2) (fma.f64 -1/8 (pow.f64 x 4) (*.f64 -1/16 (pow.f64 x 6))))
(*.f64 x (sqrt.f64 -1))
(+.f64 1 (*.f64 x (sqrt.f64 -1)))
(fma.f64 x (sqrt.f64 -1) 1)
(+.f64 1 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 x (sqrt.f64 -1)))) (*.f64 x (sqrt.f64 -1))))
(+.f64 1 (+.f64 (*.f64 x (sqrt.f64 -1)) (/.f64 1/2 (*.f64 x (sqrt.f64 -1)))))
(+.f64 (fma.f64 x (sqrt.f64 -1) 1) (/.f64 (/.f64 1/2 (sqrt.f64 -1)) x))
(-.f64 (+.f64 1 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 x (sqrt.f64 -1)))) (*.f64 x (sqrt.f64 -1)))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3)))))
(+.f64 1 (-.f64 (+.f64 (*.f64 x (sqrt.f64 -1)) (/.f64 1/2 (*.f64 x (sqrt.f64 -1)))) (/.f64 1/8 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3)))))
(+.f64 (fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/2 (sqrt.f64 -1)) x)) (+.f64 1 (/.f64 -1/8 (*.f64 (pow.f64 x 3) (neg.f64 (sqrt.f64 -1))))))
(*.f64 -1 (*.f64 x (sqrt.f64 -1)))
(*.f64 (neg.f64 x) (sqrt.f64 -1))
(*.f64 x (neg.f64 (sqrt.f64 -1)))
(+.f64 1 (*.f64 -1 (*.f64 x (sqrt.f64 -1))))
(+.f64 1 (*.f64 (neg.f64 x) (sqrt.f64 -1)))
(-.f64 1 (*.f64 x (sqrt.f64 -1)))
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(*.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) 2)) (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)) (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) 2)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 2) (*.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (/.f64 1 x)))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(*.f64 (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)) (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(*.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) (*.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) (/.f64 1 x)))
(*.f64 (pow.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) 2) (/.f64 1 x))
(/.f64 (pow.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) 2) x)
(*.f64 (pow.f64 x -1/2) (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 x)))
(*.f64 (+.f64 -1 (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (/.f64 1 (neg.f64 x)))
(*.f64 (-.f64 -1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (/.f64 1 (neg.f64 x)))
(/.f64 (-.f64 -1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (neg.f64 x))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 x)))
(/.f64 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (cbrt.f64 x))
(/.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) x))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 2) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (sqrt.f64 x)))
(/.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (/.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) 1) (/.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) x))
(*.f64 (pow.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) 2) (/.f64 1 x))
(/.f64 (pow.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) 2) x)
(*.f64 (/.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) (cbrt.f64 x)))
(/.f64 (/.f64 (pow.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (*.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x)))
(*.f64 (/.f64 1 (cbrt.f64 x)) (*.f64 (cbrt.f64 (pow.f64 x -2)) (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 x -2)) (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (cbrt.f64 x))
(*.f64 (*.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (pow.f64 x -1/2)) (pow.f64 x -1/2))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) 1)
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(pow.f64 (E.f64) (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)) 3)
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(pow.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) 3) 1/3)
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)) 2)
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) -1)
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)))) (sqrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)) 2))) (cbrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))))
(neg.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (neg.f64 x)))
(*.f64 (-.f64 -1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (/.f64 1 (neg.f64 x)))
(/.f64 (-.f64 -1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (neg.f64 x))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) 2))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(log.f64 (exp.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) 3))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(cbrt.f64 (*.f64 (pow.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 3) (pow.f64 x -3)))
(cbrt.f64 (*.f64 (pow.f64 x -3) (pow.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 3)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 3) (pow.f64 x 3)))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(exp.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(+.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (neg.f64 (log.f64 x)))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(+.f64 0 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) 2))) (log.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))) (log.f64 (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))))
(*.f64 2 (log.f64 (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(-.f64 0 (log.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(-.f64 (log.f64 (+.f64 -1 (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (log.f64 (neg.f64 x)))
(-.f64 (log.f64 (-.f64 -1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (log.f64 (neg.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)))) 1)
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(*.f64 1 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(*.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)) 1)
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))) (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)) 2)) (cbrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)) 2)) (cbrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))))
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))) (sqrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 3) (pow.f64 (log.f64 x) 3)) (+.f64 (*.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (+.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 3) (pow.f64 (log.f64 x) 3)) (fma.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (*.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 3) (pow.f64 (log.f64 x) 3)) (fma.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (*.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(/.f64 (fma.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (neg.f64 (*.f64 (log.f64 x) (log.f64 x)))) (+.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)))
(/.f64 (fma.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (*.f64 (log.f64 x) (neg.f64 (log.f64 x)))) (+.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(/.f64 (-.f64 (*.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (*.f64 (log.f64 x) (log.f64 x))) (+.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(pow.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)) 1)
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))) 3)
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(pow.f64 (pow.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)) 3) 1/3)
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))) 2)
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(neg.f64 (log.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)) 2))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)) 3))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(exp.f64 (log.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))) 1))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(log1p.f64 (-.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) 1))
(log1p.f64 (+.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) -1))
(log1p.f64 (+.f64 -1 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
(fma.f64 1 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (neg.f64 (log.f64 x)))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(fma.f64 (*.f64 (cbrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (cbrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (cbrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (neg.f64 (log.f64 x)))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(fma.f64 (sqrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (sqrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (neg.f64 (log.f64 x)))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))

eval185.0ms (2.1%)

Compiler

Compiled 8862 to 6443 computations (27.3% saved)

prune73.0ms (0.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New4602462
Fresh000
Picked224
Done101
Total4634467
Accuracy
100.0%
Counts
467 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(neg.f64 (log.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
98.9%
(log.f64 (/.f64 (+.f64 2 (*.f64 -1/2 (*.f64 x x))) x))
100.0%
(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
98.1%
(log.f64 (/.f64 2 x))
100.0%
(neg.f64 (log.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
98.9%
(log.f64 (/.f64 (+.f64 2 (*.f64 -1/2 (*.f64 x x))) x))
100.0%
(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
98.1%
(log.f64 (/.f64 2 x))
Compiler

Compiled 82 to 62 computations (24.4% saved)

localize106.0ms (1.2%)

Localize:

Found 6 expressions with local error:

NewAccuracyProgram
100.0%
(sqrt.f64 (-.f64 1 (*.f64 x x)))
100.0%
(log.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
100.0%
(/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
100.0%
(+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))
100.0%
(/.f64 (+.f64 2 (*.f64 -1/2 (*.f64 x x))) x)
100.0%
(*.f64 -1/2 (*.f64 x x))
Compiler

Compiled 96 to 54 computations (43.8% saved)

series6.0ms (0.1%)

Counts
4 → 48
Calls

12 calls:

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

rewrite117.0ms (1.3%)

Algorithm
batch-egg-rewrite
Rules
1776×prod-diff
866×fma-def
598×expm1-udef
594×log1p-udef
406×fma-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
016100
135294
2476494
Stop Event
node limit
Counts
4 → 123
Calls
Call 1
Inputs
(*.f64 -1/2 (*.f64 x x))
(/.f64 (+.f64 2 (*.f64 -1/2 (*.f64 x x))) x)
(/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(log.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/2 (*.f64 x x)))) 1)
(pow.f64 (*.f64 -1/2 (*.f64 x x)) 1)
(pow.f64 (cbrt.f64 (*.f64 -1/2 (*.f64 x x))) 3)
(pow.f64 (*.f64 -1/8 (pow.f64 x 6)) 1/3)
(pow.f64 (*.f64 x (sqrt.f64 -1/2)) 2)
(sqrt.f64 (*.f64 1/4 (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 -1/2) (*.f64 x x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/2 (*.f64 x x)))))
(cbrt.f64 (*.f64 -1/8 (pow.f64 x 6)))
(expm1.f64 (log1p.f64 (*.f64 -1/2 (*.f64 x x))))
(exp.f64 (fma.f64 2 (log.f64 x) (log.f64 -1/2)))
(exp.f64 (*.f64 (fma.f64 2 (log.f64 x) (log.f64 -1/2)) 1))
(log1p.f64 (expm1.f64 (*.f64 -1/2 (*.f64 x x))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))) 1)
(*.f64 (fma.f64 -1/2 (*.f64 x x) 2) (/.f64 1 x))
(*.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x) 1)
(*.f64 1 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x)) (cbrt.f64 (pow.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x) 2)) (cbrt.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) 2)) 2) (*.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) 2)) (/.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x)) (sqrt.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x)))
(*.f64 (sqrt.f64 (fma.f64 -1/2 (*.f64 x x) 2)) (*.f64 (sqrt.f64 (fma.f64 -1/2 (*.f64 x x) 2)) (/.f64 1 x)))
(*.f64 (neg.f64 (fma.f64 -1/2 (*.f64 x x) 2)) (/.f64 1 (neg.f64 x)))
(*.f64 (/.f64 1 x) (fma.f64 -1/2 (*.f64 x x) 2))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) (cbrt.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) 2)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) 2)) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) 2)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) 2)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) 2)) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 -1/2 (*.f64 x x) 2)) 1) (/.f64 (sqrt.f64 (fma.f64 -1/2 (*.f64 x x) 2)) x))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 -1/2 (*.f64 x x) 2)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (fma.f64 -1/2 (*.f64 x x) 2)) (cbrt.f64 x)))
(pow.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x) 1)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x)) 3)
(pow.f64 (pow.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x)) 2)
(pow.f64 (/.f64 x (fma.f64 -1/2 (*.f64 x x) 2)) -1)
(neg.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) (neg.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x) 2))
(log.f64 (exp.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 -1/2 (*.f64 x x) 2) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x)))
(exp.f64 (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x)) 1))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 2) x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))) 1)
(*.f64 x (/.f64 1 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(*.f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(*.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 1)
(*.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (cbrt.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 2)) (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(*.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(*.f64 (neg.f64 x) (/.f64 1 (+.f64 (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) -1)))
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) x)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 2)) (/.f64 x (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(*.f64 (/.f64 1 (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4))) (/.f64 x (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 2)) (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4))) (/.f64 (cbrt.f64 x) (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2))) (+.f64 1 (-.f64 1 (fma.f64 x x (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(*.f64 (/.f64 x (+.f64 0 (*.f64 x x))) (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 1)
(pow.f64 (E.f64) (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) 3)
(pow.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) 2)
(pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) 2)) (cbrt.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))) (sqrt.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(neg.f64 (/.f64 x (+.f64 (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) -1)))
(sqrt.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 2))
(log.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))))
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 3)))
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(exp.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(+.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (sqrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(+.f64 0 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(+.f64 (log.f64 x) (log.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(+.f64 (log.f64 x) (neg.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))) (log.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 2))) (log.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))))
(+.f64 (fma.f64 1 (log.f64 x) (neg.f64 (*.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 1))) (fma.f64 (neg.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 1 (*.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 1)))
(+.f64 (fma.f64 1 (log.f64 x) (neg.f64 (*.f64 (cbrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (*.f64 (cbrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (cbrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (*.f64 (cbrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (cbrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (*.f64 (cbrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (*.f64 (cbrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (cbrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 (log.f64 x))) (cbrt.f64 (log.f64 x)) (neg.f64 (*.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 1))) (fma.f64 (neg.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 1 (*.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 1)))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 (log.f64 x))) (cbrt.f64 (log.f64 x)) (neg.f64 (*.f64 (cbrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (*.f64 (cbrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (cbrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (*.f64 (cbrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (cbrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (*.f64 (cbrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (*.f64 (cbrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (cbrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))))
(+.f64 (fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) (neg.f64 (*.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 1))) (fma.f64 (neg.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 1 (*.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 1)))
(+.f64 (fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) (neg.f64 (*.f64 (cbrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (*.f64 (cbrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (cbrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (*.f64 (cbrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (cbrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (*.f64 (cbrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (*.f64 (cbrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (cbrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))))
(-.f64 0 (log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
(-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(-.f64 (log.f64 (neg.f64 x)) (log.f64 (+.f64 (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) -1)))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))) 1)
(*.f64 1 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(*.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 1)
(*.f64 (cbrt.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (pow.f64 (cbrt.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) 2) (cbrt.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(*.f64 (sqrt.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (sqrt.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 3)) (fma.f64 (log.f64 x) (log.f64 x) (fma.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (*.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))))
(/.f64 (-.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (+.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(pow.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 1)
(pow.f64 (cbrt.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) 3)
(pow.f64 (pow.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) 2)
(neg.f64 (log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
(sqrt.f64 (pow.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 2))
(cbrt.f64 (pow.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 3))
(expm1.f64 (log1p.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(exp.f64 (log.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(exp.f64 (*.f64 (log.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) 1))
(log1p.f64 (expm1.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(fma.f64 1 (log.f64 x) (log.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(fma.f64 1 (log.f64 x) (neg.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(fma.f64 (*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 (log.f64 x))) (cbrt.f64 (log.f64 x)) (log.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(fma.f64 (*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 (log.f64 x))) (cbrt.f64 (log.f64 x)) (neg.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) (log.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) (neg.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))

simplify118.0ms (1.3%)

Algorithm
egg-herbie
Rules
1896×fma-def
1204×times-frac
1096×unswap-sqr
1080×distribute-lft-in
352×sqr-pow
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03888491
19368281
230155245
Stop Event
node limit
Counts
171 → 237
Calls
Call 1
Inputs
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
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(-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(-.f64 (log.f64 (neg.f64 x)) (log.f64 (+.f64 (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) -1)))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))) 1)
(*.f64 1 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(*.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 1)
(*.f64 (cbrt.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (pow.f64 (cbrt.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) 2) (cbrt.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(*.f64 (sqrt.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (sqrt.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 3)) (fma.f64 (log.f64 x) (log.f64 x) (fma.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (*.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))))
(/.f64 (-.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (+.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(pow.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 1)
(pow.f64 (cbrt.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) 3)
(pow.f64 (pow.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) 2)
(neg.f64 (log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
(sqrt.f64 (pow.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 2))
(cbrt.f64 (pow.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 3))
(expm1.f64 (log1p.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(exp.f64 (log.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(exp.f64 (*.f64 (log.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) 1))
(log1p.f64 (expm1.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(fma.f64 1 (log.f64 x) (log.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(fma.f64 1 (log.f64 x) (neg.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(fma.f64 (*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 (log.f64 x))) (cbrt.f64 (log.f64 x)) (log.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(fma.f64 (*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 (log.f64 x))) (cbrt.f64 (log.f64 x)) (neg.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) (log.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) (neg.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
Outputs
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
(*.f64 x (*.f64 -1/2 x))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
(*.f64 x (*.f64 -1/2 x))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
(*.f64 x (*.f64 -1/2 x))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
(*.f64 x (*.f64 -1/2 x))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
(*.f64 x (*.f64 -1/2 x))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
(*.f64 x (*.f64 -1/2 x))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
(*.f64 x (*.f64 -1/2 x))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
(*.f64 x (*.f64 -1/2 x))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
(*.f64 x (*.f64 -1/2 x))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
(*.f64 x (*.f64 -1/2 x))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
(*.f64 x (*.f64 -1/2 x))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
(*.f64 x (*.f64 -1/2 x))
(/.f64 2 x)
(+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
(fma.f64 -1/2 x (/.f64 2 x))
(+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
(fma.f64 -1/2 x (/.f64 2 x))
(+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
(fma.f64 -1/2 x (/.f64 2 x))
(*.f64 -1/2 x)
(+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
(fma.f64 -1/2 x (/.f64 2 x))
(+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
(fma.f64 -1/2 x (/.f64 2 x))
(+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
(fma.f64 -1/2 x (/.f64 2 x))
(*.f64 -1/2 x)
(+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
(fma.f64 -1/2 x (/.f64 2 x))
(+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
(fma.f64 -1/2 x (/.f64 2 x))
(+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
(fma.f64 -1/2 x (/.f64 2 x))
(*.f64 1/2 x)
(*.f64 x 1/2)
(+.f64 (*.f64 1/8 (pow.f64 x 3)) (*.f64 1/2 x))
(fma.f64 1/8 (pow.f64 x 3) (*.f64 x 1/2))
(fma.f64 x 1/2 (*.f64 1/8 (pow.f64 x 3)))
(+.f64 (*.f64 1/16 (pow.f64 x 5)) (+.f64 (*.f64 1/8 (pow.f64 x 3)) (*.f64 1/2 x)))
(fma.f64 1/16 (pow.f64 x 5) (fma.f64 1/8 (pow.f64 x 3) (*.f64 x 1/2)))
(fma.f64 1/16 (pow.f64 x 5) (fma.f64 x 1/2 (*.f64 1/8 (pow.f64 x 3))))
(+.f64 (*.f64 5/128 (pow.f64 x 7)) (+.f64 (*.f64 1/16 (pow.f64 x 5)) (+.f64 (*.f64 1/8 (pow.f64 x 3)) (*.f64 1/2 x))))
(fma.f64 5/128 (pow.f64 x 7) (fma.f64 1/16 (pow.f64 x 5) (fma.f64 1/8 (pow.f64 x 3) (*.f64 x 1/2))))
(fma.f64 5/128 (pow.f64 x 7) (fma.f64 1/16 (pow.f64 x 5) (fma.f64 x 1/2 (*.f64 1/8 (pow.f64 x 3)))))
(/.f64 1 (sqrt.f64 -1))
(-.f64 (/.f64 1 (sqrt.f64 -1)) (/.f64 1 (*.f64 x (pow.f64 (sqrt.f64 -1) 2))))
(-.f64 (/.f64 1 (sqrt.f64 -1)) (/.f64 -1 x))
(+.f64 (/.f64 1 x) (/.f64 1 (sqrt.f64 -1)))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 3)))) (/.f64 1 (sqrt.f64 -1))) (/.f64 1 (*.f64 x (pow.f64 (sqrt.f64 -1) 2))))
(+.f64 (/.f64 1/2 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (*.f64 x x))) (-.f64 (/.f64 1 (sqrt.f64 -1)) (/.f64 1 (*.f64 x (pow.f64 (sqrt.f64 -1) 2)))))
(+.f64 (/.f64 1 (sqrt.f64 -1)) (-.f64 (/.f64 1/2 (*.f64 (sqrt.f64 -1) (*.f64 x (neg.f64 x)))) (/.f64 -1 x)))
(+.f64 (/.f64 1 (sqrt.f64 -1)) (+.f64 (/.f64 1/2 (*.f64 (sqrt.f64 -1) (*.f64 x (neg.f64 x)))) (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 3)))) (/.f64 1 (sqrt.f64 -1))) (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 5)))) (/.f64 1 (*.f64 x (pow.f64 (sqrt.f64 -1) 2)))))
(+.f64 (/.f64 1/2 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (*.f64 x x))) (-.f64 (/.f64 1 (sqrt.f64 -1)) (+.f64 (/.f64 1 (*.f64 x (pow.f64 (sqrt.f64 -1) 2))) (/.f64 1/8 (*.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 5))))))
(-.f64 (+.f64 (/.f64 1 (sqrt.f64 -1)) (/.f64 1/2 (*.f64 (sqrt.f64 -1) (*.f64 x (neg.f64 x))))) (+.f64 (/.f64 -1 x) (/.f64 1/8 (*.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 5)))))
(-.f64 (+.f64 (/.f64 1 (sqrt.f64 -1)) (+.f64 (/.f64 1/2 (*.f64 (sqrt.f64 -1) (*.f64 x (neg.f64 x)))) (/.f64 1 x))) (/.f64 1/8 (*.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 5))))
(/.f64 -1 (sqrt.f64 -1))
(neg.f64 (+.f64 (/.f64 1 (sqrt.f64 -1)) (/.f64 1 (*.f64 x (pow.f64 (sqrt.f64 -1) 2)))))
(-.f64 (/.f64 -1 (sqrt.f64 -1)) (/.f64 -1 x))
(+.f64 (/.f64 1 x) (/.f64 -1 (sqrt.f64 -1)))
(neg.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 3)))) (+.f64 (/.f64 1 (sqrt.f64 -1)) (/.f64 1 (*.f64 x (pow.f64 (sqrt.f64 -1) 2))))))
(neg.f64 (+.f64 (/.f64 1/2 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (*.f64 x x))) (+.f64 (/.f64 1 (sqrt.f64 -1)) (/.f64 1 (*.f64 x (pow.f64 (sqrt.f64 -1) 2))))))
(+.f64 (-.f64 (/.f64 -1 (sqrt.f64 -1)) (/.f64 -1 x)) (/.f64 -1/2 (*.f64 (sqrt.f64 -1) (*.f64 x (neg.f64 x)))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 -1 (sqrt.f64 -1)) (/.f64 -1/2 (*.f64 (sqrt.f64 -1) (*.f64 x (neg.f64 x))))))
(-.f64 (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 5)))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 3)))) (+.f64 (/.f64 1 (sqrt.f64 -1)) (/.f64 1 (*.f64 x (pow.f64 (sqrt.f64 -1) 2))))))
(-.f64 (/.f64 1/8 (*.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 5))) (+.f64 (/.f64 1/2 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (*.f64 x x))) (+.f64 (/.f64 1 (sqrt.f64 -1)) (/.f64 1 (*.f64 x (pow.f64 (sqrt.f64 -1) 2))))))
(+.f64 (/.f64 1/8 (*.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 5))) (+.f64 (-.f64 (/.f64 -1 (sqrt.f64 -1)) (/.f64 -1 x)) (/.f64 -1/2 (*.f64 (sqrt.f64 -1) (*.f64 x (neg.f64 x))))))
(-.f64 (/.f64 1/8 (*.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 5))) (+.f64 (/.f64 1 (sqrt.f64 -1)) (+.f64 (/.f64 1/2 (*.f64 (sqrt.f64 -1) (*.f64 x (neg.f64 x)))) (/.f64 -1 x))))
(+.f64 (log.f64 1/2) (log.f64 x))
(+.f64 (log.f64 1/2) (+.f64 (log.f64 x) (*.f64 1/4 (pow.f64 x 2))))
(+.f64 (+.f64 (log.f64 1/2) (log.f64 x)) (*.f64 1/4 (*.f64 x x)))
(+.f64 (log.f64 1/2) (fma.f64 1/4 (*.f64 x x) (log.f64 x)))
(+.f64 (log.f64 1/2) (fma.f64 x (*.f64 x 1/4) (log.f64 x)))
(+.f64 (log.f64 1/2) (+.f64 (log.f64 x) (+.f64 (*.f64 3/32 (pow.f64 x 4)) (*.f64 1/4 (pow.f64 x 2)))))
(+.f64 (+.f64 (log.f64 1/2) (log.f64 x)) (fma.f64 3/32 (pow.f64 x 4) (*.f64 1/4 (*.f64 x x))))
(+.f64 (log.f64 1/2) (+.f64 (log.f64 x) (fma.f64 (pow.f64 x 4) 3/32 (*.f64 x (*.f64 x 1/4)))))
(+.f64 (log.f64 1/2) (fma.f64 x (*.f64 x 1/4) (fma.f64 (pow.f64 x 4) 3/32 (log.f64 x))))
(+.f64 (log.f64 1/2) (+.f64 (log.f64 x) (+.f64 (*.f64 5/96 (pow.f64 x 6)) (+.f64 (*.f64 3/32 (pow.f64 x 4)) (*.f64 1/4 (pow.f64 x 2))))))
(+.f64 (+.f64 (log.f64 1/2) (log.f64 x)) (fma.f64 5/96 (pow.f64 x 6) (fma.f64 3/32 (pow.f64 x 4) (*.f64 1/4 (*.f64 x x)))))
(+.f64 (log.f64 1/2) (+.f64 (log.f64 x) (fma.f64 5/96 (pow.f64 x 6) (fma.f64 (pow.f64 x 4) 3/32 (*.f64 x (*.f64 x 1/4))))))
(+.f64 (log.f64 1/2) (fma.f64 5/96 (pow.f64 x 6) (fma.f64 x (*.f64 x 1/4) (fma.f64 (pow.f64 x 4) 3/32 (log.f64 x)))))
(log.f64 (/.f64 1 (sqrt.f64 -1)))
(neg.f64 (log.f64 (sqrt.f64 -1)))
(-.f64 (log.f64 (/.f64 1 (sqrt.f64 -1))) (/.f64 1 (*.f64 x (sqrt.f64 -1))))
(-.f64 (neg.f64 (log.f64 (sqrt.f64 -1))) (/.f64 1 (*.f64 x (sqrt.f64 -1))))
(neg.f64 (+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 (/.f64 1 x) (sqrt.f64 -1))))
(-.f64 (/.f64 -1 (*.f64 x (sqrt.f64 -1))) (log.f64 (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 (neg.f64 (log.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 (/.f64 1/6 (*.f64 (pow.f64 x 3) (*.f64 -1 (sqrt.f64 -1)))) (log.f64 (sqrt.f64 -1))) (/.f64 -1 (*.f64 x (sqrt.f64 -1))))
(-.f64 (/.f64 1/6 (*.f64 (pow.f64 x 3) (neg.f64 (sqrt.f64 -1)))) (+.f64 (log.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 (neg.f64 (log.f64 (sqrt.f64 -1))) (-.f64 (/.f64 1/6 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (/.f64 3/40 (*.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5))))))
(-.f64 (-.f64 (/.f64 1/6 (*.f64 (pow.f64 x 3) (*.f64 -1 (sqrt.f64 -1)))) (log.f64 (sqrt.f64 -1))) (+.f64 (/.f64 (/.f64 1 x) (sqrt.f64 -1)) (/.f64 (/.f64 3/40 (pow.f64 x 5)) (pow.f64 (sqrt.f64 -1) 5))))
(+.f64 (-.f64 (/.f64 1/6 (*.f64 (pow.f64 x 3) (neg.f64 (sqrt.f64 -1)))) (log.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)))))
(log.f64 (/.f64 -1 (sqrt.f64 -1)))
(+.f64 (log.f64 (/.f64 -1 (sqrt.f64 -1))) (/.f64 1 (*.f64 x (sqrt.f64 -1))))
(+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (log.f64 (/.f64 -1 (sqrt.f64 -1))))
(+.f64 (/.f64 (/.f64 1 x) (sqrt.f64 -1)) (log.f64 (/.f64 -1 (sqrt.f64 -1))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 (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 (/.f64 -1 (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 (/.f64 (/.f64 1 x) (sqrt.f64 -1)) (-.f64 (log.f64 (/.f64 -1 (sqrt.f64 -1))) (/.f64 1/6 (*.f64 (pow.f64 x 3) (*.f64 -1 (sqrt.f64 -1))))))
(+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (+.f64 (log.f64 (/.f64 -1 (sqrt.f64 -1))) (/.f64 -1/6 (*.f64 (pow.f64 x 3) (neg.f64 (sqrt.f64 -1))))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 (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 (log.f64 (/.f64 -1 (sqrt.f64 -1))) (-.f64 (+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (/.f64 3/40 (*.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5)))) (/.f64 1/6 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3)))))
(+.f64 (log.f64 (/.f64 -1 (sqrt.f64 -1))) (-.f64 (+.f64 (/.f64 (/.f64 1 x) (sqrt.f64 -1)) (/.f64 (/.f64 3/40 (pow.f64 x 5)) (pow.f64 (sqrt.f64 -1) 5))) (/.f64 1/6 (*.f64 (pow.f64 x 3) (*.f64 -1 (sqrt.f64 -1))))))
(+.f64 (+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (/.f64 3/40 (*.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5)))) (+.f64 (log.f64 (/.f64 -1 (sqrt.f64 -1))) (/.f64 -1/6 (*.f64 (pow.f64 x 3) (neg.f64 (sqrt.f64 -1))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/2 (*.f64 x x)))) 1)
(*.f64 -1/2 (*.f64 x x))
(*.f64 x (*.f64 -1/2 x))
(pow.f64 (*.f64 -1/2 (*.f64 x x)) 1)
(*.f64 -1/2 (*.f64 x x))
(*.f64 x (*.f64 -1/2 x))
(pow.f64 (cbrt.f64 (*.f64 -1/2 (*.f64 x x))) 3)
(*.f64 -1/2 (*.f64 x x))
(*.f64 x (*.f64 -1/2 x))
(pow.f64 (*.f64 -1/8 (pow.f64 x 6)) 1/3)
(cbrt.f64 (*.f64 (pow.f64 x 6) -1/8))
(pow.f64 (*.f64 x (sqrt.f64 -1/2)) 2)
(*.f64 -1/2 (*.f64 x x))
(*.f64 x (*.f64 -1/2 x))
(sqrt.f64 (*.f64 1/4 (pow.f64 x 4)))
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/4))
(log.f64 (pow.f64 (exp.f64 -1/2) (*.f64 x x)))
(*.f64 -1/2 (*.f64 x x))
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(-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))
(pow.f64 (sqrt.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) 2)
(+.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (sqrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))
(neg.f64 (log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
(+.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (sqrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))
(sqrt.f64 (pow.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 2))
(+.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (sqrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))
(cbrt.f64 (pow.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 3))
(+.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (sqrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))
(expm1.f64 (log1p.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(+.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (sqrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))
(exp.f64 (log.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(+.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (sqrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))
(exp.f64 (*.f64 (log.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) 1))
(+.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (sqrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))
(log1p.f64 (expm1.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(+.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (sqrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))
(fma.f64 1 (log.f64 x) (log.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(+.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (sqrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))
(fma.f64 1 (log.f64 x) (neg.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(+.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (sqrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))
(fma.f64 (*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 (log.f64 x))) (cbrt.f64 (log.f64 x)) (log.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(+.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (sqrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))
(fma.f64 (*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 (log.f64 x))) (cbrt.f64 (log.f64 x)) (neg.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(+.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (sqrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))
(fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) (log.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(+.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (sqrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))
(fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) (neg.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(+.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (sqrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))

eval225.0ms (2.6%)

Compiler

Compiled 7357 to 5361 computations (27.1% saved)

prune102.0ms (1.2%)

Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New3801381
Fresh000
Picked022
Done022
Total3805385
Accuracy
100.0%
Counts
385 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.9%
(neg.f64 (log.f64 (/.f64 x (+.f64 2 (*.f64 -1/2 (*.f64 x x))))))
100.0%
(neg.f64 (log.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
98.9%
(log.f64 (/.f64 (+.f64 2 (*.f64 -1/2 (*.f64 x x))) x))
100.0%
(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
98.1%
(log.f64 (/.f64 2 x))
98.9%
(neg.f64 (log.f64 (/.f64 x (+.f64 2 (*.f64 -1/2 (*.f64 x x))))))
100.0%
(neg.f64 (log.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
98.9%
(log.f64 (/.f64 (+.f64 2 (*.f64 -1/2 (*.f64 x x))) x))
100.0%
(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
98.1%
(log.f64 (/.f64 2 x))
Compiler

Compiled 106 to 80 computations (24.5% saved)

localize98.0ms (1.1%)

Localize:

Found 3 expressions with local error:

NewAccuracyProgram
100.0%
(*.f64 -1/2 (*.f64 x x))
100.0%
(/.f64 x (+.f64 2 (*.f64 -1/2 (*.f64 x x))))
100.0%
(log.f64 (/.f64 x (+.f64 2 (*.f64 -1/2 (*.f64 x x)))))
Compiler

Compiled 50 to 29 computations (42% saved)

series4.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite159.0ms (1.8%)

Algorithm
batch-egg-rewrite
Rules
1082×log-prod
656×prod-exp
606×pow-prod-down
512×pow-prod-up
474×pow-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01154
123446
2297146
Stop Event
node limit
Counts
2 → 138
Calls
Call 1
Inputs
(log.f64 (/.f64 x (+.f64 2 (*.f64 -1/2 (*.f64 x x)))))
(/.f64 x (+.f64 2 (*.f64 -1/2 (*.f64 x x))))
Outputs
(+.f64 (log.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2))) 0)
(+.f64 (log.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2))) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 (fma.f64 x (*.f64 x -1/2) 2)))) (sqrt.f64 (log.f64 (fma.f64 x (*.f64 x -1/2) 2))) (log.f64 (fma.f64 x (*.f64 x -1/2) 2))))
(+.f64 (log.f64 x) (neg.f64 (log.f64 (fma.f64 x (*.f64 x -1/2) 2))))
(+.f64 0 (log.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2)))) (log.f64 (sqrt.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2)))))
(+.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 1 (neg.f64 (fma.f64 x (*.f64 x -1/2) 2)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 x) 2)) (log.f64 (*.f64 (cbrt.f64 x) (/.f64 1 (fma.f64 x (*.f64 x -1/2) 2)))))
(+.f64 (log.f64 (sqrt.f64 x)) (log.f64 (*.f64 (sqrt.f64 x) (/.f64 1 (fma.f64 x (*.f64 x -1/2) 2)))))
(+.f64 (log.f64 (cbrt.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2)))) (*.f64 2 (log.f64 (cbrt.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2))))) (log.f64 (cbrt.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2)))))
(+.f64 (neg.f64 (log.f64 (fma.f64 x (*.f64 x -1/2) 2))) (log.f64 x))
(+.f64 (fma.f64 1 (log.f64 x) (neg.f64 (*.f64 (log.f64 (fma.f64 x (*.f64 x -1/2) 2)) 1))) (fma.f64 (neg.f64 (log.f64 (fma.f64 x (*.f64 x -1/2) 2))) 1 (*.f64 (log.f64 (fma.f64 x (*.f64 x -1/2) 2)) 1)))
(+.f64 (fma.f64 1 (log.f64 x) (neg.f64 (*.f64 (cbrt.f64 (log.f64 (fma.f64 x (*.f64 x -1/2) 2))) (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x (*.f64 x -1/2) 2))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (fma.f64 x (*.f64 x -1/2) 2)))) (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x (*.f64 x -1/2) 2))) 2) (*.f64 (cbrt.f64 (log.f64 (fma.f64 x (*.f64 x -1/2) 2))) (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x (*.f64 x -1/2) 2))) 2))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (cbrt.f64 (log.f64 x)) (neg.f64 (*.f64 (log.f64 (fma.f64 x (*.f64 x -1/2) 2)) 1))) (fma.f64 (neg.f64 (log.f64 (fma.f64 x (*.f64 x -1/2) 2))) 1 (*.f64 (log.f64 (fma.f64 x (*.f64 x -1/2) 2)) 1)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (cbrt.f64 (log.f64 x)) (neg.f64 (*.f64 (cbrt.f64 (log.f64 (fma.f64 x (*.f64 x -1/2) 2))) (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x (*.f64 x -1/2) 2))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (fma.f64 x (*.f64 x -1/2) 2)))) (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x (*.f64 x -1/2) 2))) 2) (*.f64 (cbrt.f64 (log.f64 (fma.f64 x (*.f64 x -1/2) 2))) (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x (*.f64 x -1/2) 2))) 2))))
(+.f64 (fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) (neg.f64 (*.f64 (log.f64 (fma.f64 x (*.f64 x -1/2) 2)) 1))) (fma.f64 (neg.f64 (log.f64 (fma.f64 x (*.f64 x -1/2) 2))) 1 (*.f64 (log.f64 (fma.f64 x (*.f64 x -1/2) 2)) 1)))
(+.f64 (fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) (neg.f64 (*.f64 (cbrt.f64 (log.f64 (fma.f64 x (*.f64 x -1/2) 2))) (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x (*.f64 x -1/2) 2))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (fma.f64 x (*.f64 x -1/2) 2)))) (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x (*.f64 x -1/2) 2))) 2) (*.f64 (cbrt.f64 (log.f64 (fma.f64 x (*.f64 x -1/2) 2))) (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x (*.f64 x -1/2) 2))) 2))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) 2)) -2)) (log.f64 (/.f64 x (cbrt.f64 (fma.f64 x (*.f64 x -1/2) 2)))))
(+.f64 (log.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) 2) -1/2)) (log.f64 (/.f64 x (sqrt.f64 (fma.f64 x (*.f64 x -1/2) 2)))))
(+.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1)) (log.f64 (/.f64 (cbrt.f64 x) (fma.f64 x (*.f64 x -1/2) 2))))
(+.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) 2)) 2))) (log.f64 (cbrt.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2)))))
(+.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (fma.f64 x (*.f64 x -1/2) 2)))) (log.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (fma.f64 x (*.f64 x -1/2) 2)))))
(+.f64 (log.f64 (/.f64 (sqrt.f64 x) 1)) (log.f64 (/.f64 (sqrt.f64 x) (fma.f64 x (*.f64 x -1/2) 2))))
(+.f64 (log.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) 2)) 2))) (log.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (fma.f64 x (*.f64 x -1/2) 2)))))
(+.f64 (log.f64 (/.f64 x (fma.f64 -1/8 (pow.f64 x 6) 8))) (log.f64 (fma.f64 (*.f64 x (*.f64 x -1/2)) (fma.f64 x (*.f64 x -1/2) -2) 4)))
(+.f64 (log.f64 (/.f64 x (-.f64 4 (*.f64 1/4 (pow.f64 x 4))))) (log.f64 (-.f64 2 (*.f64 x (*.f64 x -1/2)))))
(-.f64 (log.f64 x) (log.f64 (fma.f64 x (*.f64 x -1/2) 2)))
(-.f64 0 (log.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 2) x)))
(-.f64 0 (log.f64 (/.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 2) x) 1)))
(-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 (fma.f64 x (*.f64 x -1/2) 2))))
(-.f64 (log.f64 (pow.f64 (cbrt.f64 x) 2)) (log.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 2) (cbrt.f64 x))))
(-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 2) (sqrt.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2))))) 1)
(-.f64 (log.f64 -1) (log.f64 (neg.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 2) x))))
(-.f64 (log.f64 (/.f64 x (sqrt.f64 (fma.f64 x (*.f64 x -1/2) 2)))) (log.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/2) 2))))
(-.f64 (log.f64 (neg.f64 (neg.f64 x))) (log.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x -1/2) 2)))))
(-.f64 (log.f64 (/.f64 x 1)) (log.f64 (fma.f64 x (*.f64 x -1/2) 2)))
(-.f64 (log.f64 (/.f64 x (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) 2)) 2))) (log.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) 2))))
(*.f64 2 (log.f64 (sqrt.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2)))))
(*.f64 (log.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2))) 1)
(*.f64 1 (log.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2))))
(*.f64 (cbrt.f64 (log.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2)))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2)))) 2) (cbrt.f64 (log.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2)))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2)))) (sqrt.f64 (log.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2)))))
(*.f64 3 (log.f64 (cbrt.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2)))))
(*.f64 -1 (log.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 2) x)))
(*.f64 1/3 (log.f64 (pow.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2)) 3)))
(/.f64 (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (fma.f64 x (*.f64 x -1/2) 2)) 3)) (+.f64 (pow.f64 (log.f64 x) 2) (+.f64 (pow.f64 (log.f64 (fma.f64 x (*.f64 x -1/2) 2)) 2) (*.f64 (log.f64 x) (log.f64 (fma.f64 x (*.f64 x -1/2) 2))))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 (fma.f64 x (*.f64 x -1/2) 2)) 2)) (log.f64 (*.f64 x (fma.f64 x (*.f64 x -1/2) 2))))
(pow.f64 (log.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2))) 1)
(pow.f64 (cbrt.f64 (log.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2)))) 3)
(pow.f64 (pow.f64 (log.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2))) 2) 1/2)
(pow.f64 (pow.f64 (log.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2)))) 2)
(neg.f64 (log.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 2) x)))
(neg.f64 (log.f64 (/.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 2) x) 1)))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2))) 2))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2))) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2)))))
(exp.f64 (log.f64 (log.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2))))) 2))
(log1p.f64 (-.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2)) 1))
(fma.f64 1 (log.f64 x) (neg.f64 (log.f64 (fma.f64 x (*.f64 x -1/2) 2))))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (cbrt.f64 (log.f64 x)) (neg.f64 (log.f64 (fma.f64 x (*.f64 x -1/2) 2))))
(fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) (neg.f64 (log.f64 (fma.f64 x (*.f64 x -1/2) 2))))
(+.f64 0 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2)))) 1)
(*.f64 x (/.f64 1 (fma.f64 x (*.f64 x -1/2) 2)))
(*.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2)) 1)
(*.f64 1 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2)))
(*.f64 (cbrt.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2))) (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2))) 2) (cbrt.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (fma.f64 x (*.f64 x -1/2) 2))))
(*.f64 (sqrt.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2))) (sqrt.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (fma.f64 x (*.f64 x -1/2) 2))))
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (fma.f64 x (*.f64 x -1/2) 2))))
(*.f64 (/.f64 1 (fma.f64 x (*.f64 x -1/2) 2)) x)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) 2)) -2) (/.f64 x (cbrt.f64 (fma.f64 x (*.f64 x -1/2) 2))))
(*.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) 2) -1/2) (/.f64 x (sqrt.f64 (fma.f64 x (*.f64 x -1/2) 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (fma.f64 x (*.f64 x -1/2) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) 2)) 2)) (cbrt.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (fma.f64 x (*.f64 x -1/2) 2))) (/.f64 (cbrt.f64 x) (sqrt.f64 (fma.f64 x (*.f64 x -1/2) 2))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (fma.f64 x (*.f64 x -1/2) 2)))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) 2)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (fma.f64 x (*.f64 x -1/2) 2))))
(*.f64 (/.f64 x (fma.f64 -1/8 (pow.f64 x 6) 8)) (fma.f64 (*.f64 x (*.f64 x -1/2)) (fma.f64 x (*.f64 x -1/2) -2) 4))
(*.f64 (/.f64 x (-.f64 4 (*.f64 1/4 (pow.f64 x 4)))) (-.f64 2 (*.f64 x (*.f64 x -1/2))))
(*.f64 (pow.f64 (exp.f64 1) (log.f64 x)) (pow.f64 (exp.f64 1) (neg.f64 (log.f64 (fma.f64 x (*.f64 x -1/2) 2)))))
(*.f64 (pow.f64 (exp.f64 1) (log.f64 (sqrt.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2))))) (pow.f64 (exp.f64 1) (log.f64 (sqrt.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2))))))
(*.f64 (pow.f64 (exp.f64 1) (*.f64 2 (log.f64 (cbrt.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2)))))) (pow.f64 (exp.f64 1) (log.f64 (cbrt.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2))))))
(pow.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2)) 1)
(pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2))) 3)
(pow.f64 (pow.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2)) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2))) 2)
(pow.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 2) x) -1)
(pow.f64 (exp.f64 1) (log.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2))))
(pow.f64 (exp.f64 (cbrt.f64 (log.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2))))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2)))) 2))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2)))) 2)) (cbrt.f64 (log.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2)))) 2)) (*.f64 (cbrt.f64 (log.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2)))) 1))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2))))) (sqrt.f64 (log.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2))))) (*.f64 (sqrt.f64 (log.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2)))) 1))
(pow.f64 (+.f64 1 (-.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2)) 1)) 1)
(pow.f64 (/.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x (*.f64 x -1/2) 2) 3)) 1/3)
(pow.f64 (/.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 2) x) 1) -1)
(pow.f64 (pow.f64 (exp.f64 1) 1) (log.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2))))
(pow.f64 (pow.f64 (exp.f64 1) (cbrt.f64 (log.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2))))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2)))) 2))
(pow.f64 (pow.f64 (exp.f64 1) (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2)))) 2)) (cbrt.f64 (log.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2)))))
(pow.f64 (pow.f64 (exp.f64 1) (sqrt.f64 (log.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2))))) (sqrt.f64 (log.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2)))) 2)) 1) (cbrt.f64 (log.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2)))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2))))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2)))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2)))) 2))) (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2)))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2)))))) (cbrt.f64 (sqrt.f64 (log.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2)))) 2)) (sqrt.f64 (cbrt.f64 (log.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2)))))) (sqrt.f64 (cbrt.f64 (log.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2))))) 1) (sqrt.f64 (log.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2))))) (cbrt.f64 (log.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2))))) (cbrt.f64 (sqrt.f64 (log.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2)))) 2))) (sqrt.f64 (cbrt.f64 (log.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2))))) (sqrt.f64 (sqrt.f64 (log.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2)))))) (sqrt.f64 (sqrt.f64 (log.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2))))))
(neg.f64 (/.f64 x (neg.f64 (fma.f64 x (*.f64 x -1/2) 2))))
(sqrt.f64 (pow.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2)) 2))
(log.f64 (exp.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2)))))
(cbrt.f64 (pow.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2)) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x (*.f64 x -1/2) 2) 3)))
(expm1.f64 (log1p.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2))))
(exp.f64 (log.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2)) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2)))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 2) x)) -1))
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (neg.f64 (log.f64 (fma.f64 x (*.f64 x -1/2) 2)))))
(exp.f64 (+.f64 (neg.f64 (log.f64 (fma.f64 x (*.f64 x -1/2) 2))) (*.f64 (log.f64 x) 1)))
(log1p.f64 (expm1.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2))))

simplify172.0ms (2%)

Algorithm
egg-herbie
Rules
1218×unswap-sqr
1036×times-frac
860×fma-neg
552×log-prod
516×sqr-pow
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04355722
110265596
233395524
Stop Event
node limit
Counts
162 → 222
Calls
Call 1
Inputs
(+.f64 (log.f64 1/2) (log.f64 x))
(+.f64 (log.f64 1/2) (+.f64 (log.f64 x) (*.f64 1/4 (pow.f64 x 2))))
(+.f64 (log.f64 1/2) (+.f64 (log.f64 x) (+.f64 (*.f64 1/32 (pow.f64 x 4)) (*.f64 1/4 (pow.f64 x 2)))))
(+.f64 (log.f64 1/2) (+.f64 (log.f64 x) (+.f64 (*.f64 1/192 (pow.f64 x 6)) (+.f64 (*.f64 1/32 (pow.f64 x 4)) (*.f64 1/4 (pow.f64 x 2))))))
(+.f64 (log.f64 -2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 -2) (+.f64 (log.f64 (/.f64 1 x)) (*.f64 4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 -2) (+.f64 (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 -2) (+.f64 (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 (log.f64 2) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 2) (+.f64 (log.f64 (/.f64 -1 x)) (*.f64 4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 2) (+.f64 (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 2) (+.f64 (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 1/2 x)
(+.f64 (*.f64 1/8 (pow.f64 x 3)) (*.f64 1/2 x))
(+.f64 (*.f64 1/32 (pow.f64 x 5)) (+.f64 (*.f64 1/8 (pow.f64 x 3)) (*.f64 1/2 x)))
(+.f64 (*.f64 1/128 (pow.f64 x 7)) (+.f64 (*.f64 1/32 (pow.f64 x 5)) (+.f64 (*.f64 1/8 (pow.f64 x 3)) (*.f64 1/2 x))))
(/.f64 -2 x)
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 8 (/.f64 1 (pow.f64 x 3)))))
(neg.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 32 (/.f64 1 (pow.f64 x 5))) (*.f64 2 (/.f64 1 x)))))
(neg.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 32 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 128 (/.f64 1 (pow.f64 x 7))) (*.f64 2 (/.f64 1 x))))))
(/.f64 -2 x)
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 8 (/.f64 1 (pow.f64 x 3)))))
(neg.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 32 (/.f64 1 (pow.f64 x 5))) (*.f64 2 (/.f64 1 x)))))
(neg.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 32 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 128 (/.f64 1 (pow.f64 x 7))) (*.f64 2 (/.f64 1 x))))))
(+.f64 (log.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2))) 0)
(+.f64 (log.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2))) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 (fma.f64 x (*.f64 x -1/2) 2)))) (sqrt.f64 (log.f64 (fma.f64 x (*.f64 x -1/2) 2))) (log.f64 (fma.f64 x (*.f64 x -1/2) 2))))
(+.f64 (log.f64 x) (neg.f64 (log.f64 (fma.f64 x (*.f64 x -1/2) 2))))
(+.f64 0 (log.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2)))) (log.f64 (sqrt.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2)))))
(+.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 1 (neg.f64 (fma.f64 x (*.f64 x -1/2) 2)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 x) 2)) (log.f64 (*.f64 (cbrt.f64 x) (/.f64 1 (fma.f64 x (*.f64 x -1/2) 2)))))
(+.f64 (log.f64 (sqrt.f64 x)) (log.f64 (*.f64 (sqrt.f64 x) (/.f64 1 (fma.f64 x (*.f64 x -1/2) 2)))))
(+.f64 (log.f64 (cbrt.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2)))) (*.f64 2 (log.f64 (cbrt.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2))))))
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(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2))))) (cbrt.f64 (log.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2))))) (cbrt.f64 (sqrt.f64 (log.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2)))) 2))) (sqrt.f64 (cbrt.f64 (log.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2))))) (sqrt.f64 (sqrt.f64 (log.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2)))))) (sqrt.f64 (sqrt.f64 (log.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2))))))
(neg.f64 (/.f64 x (neg.f64 (fma.f64 x (*.f64 x -1/2) 2))))
(sqrt.f64 (pow.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2)) 2))
(log.f64 (exp.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2)))))
(cbrt.f64 (pow.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2)) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x (*.f64 x -1/2) 2) 3)))
(expm1.f64 (log1p.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2))))
(exp.f64 (log.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2)) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2)))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 2) x)) -1))
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (neg.f64 (log.f64 (fma.f64 x (*.f64 x -1/2) 2)))))
(exp.f64 (+.f64 (neg.f64 (log.f64 (fma.f64 x (*.f64 x -1/2) 2))) (*.f64 (log.f64 x) 1)))
(log1p.f64 (expm1.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2))))
Outputs
(+.f64 (log.f64 1/2) (log.f64 x))
(+.f64 (log.f64 1/2) (+.f64 (log.f64 x) (*.f64 1/4 (pow.f64 x 2))))
(+.f64 (log.f64 1/2) (+.f64 (log.f64 x) (*.f64 1/4 (*.f64 x x))))
(+.f64 (log.f64 1/2) (fma.f64 1/4 (*.f64 x x) (log.f64 x)))
(+.f64 (log.f64 1/2) (+.f64 (log.f64 x) (+.f64 (*.f64 1/32 (pow.f64 x 4)) (*.f64 1/4 (pow.f64 x 2)))))
(+.f64 (+.f64 (log.f64 1/2) (log.f64 x)) (fma.f64 1/32 (pow.f64 x 4) (*.f64 1/4 (*.f64 x x))))
(+.f64 (log.f64 1/2) (+.f64 (log.f64 x) (fma.f64 1/4 (*.f64 x x) (*.f64 1/32 (pow.f64 x 4)))))
(+.f64 (log.f64 x) (+.f64 (log.f64 1/2) (fma.f64 1/32 (pow.f64 x 4) (*.f64 x (*.f64 x 1/4)))))
(+.f64 (log.f64 1/2) (+.f64 (log.f64 x) (+.f64 (*.f64 1/192 (pow.f64 x 6)) (+.f64 (*.f64 1/32 (pow.f64 x 4)) (*.f64 1/4 (pow.f64 x 2))))))
(+.f64 (+.f64 (log.f64 1/2) (log.f64 x)) (fma.f64 1/192 (pow.f64 x 6) (fma.f64 1/32 (pow.f64 x 4) (*.f64 1/4 (*.f64 x x)))))
(+.f64 (log.f64 1/2) (+.f64 (log.f64 x) (fma.f64 1/192 (pow.f64 x 6) (fma.f64 1/4 (*.f64 x x) (*.f64 1/32 (pow.f64 x 4))))))
(+.f64 (+.f64 (log.f64 1/2) (log.f64 x)) (fma.f64 1/192 (pow.f64 x 6) (fma.f64 1/32 (pow.f64 x 4) (*.f64 x (*.f64 x 1/4)))))
(+.f64 (log.f64 -2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 -2) (neg.f64 (log.f64 x)))
(-.f64 (log.f64 -2) (log.f64 x))
(+.f64 (log.f64 -2) (+.f64 (log.f64 (/.f64 1 x)) (*.f64 4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 -2) (+.f64 (neg.f64 (log.f64 x)) (/.f64 4 (*.f64 x x))))
(+.f64 (log.f64 -2) (-.f64 (/.f64 4 (*.f64 x x)) (log.f64 x)))
(+.f64 (-.f64 (log.f64 -2) (log.f64 x)) (/.f64 4 (*.f64 x x)))
(+.f64 (log.f64 -2) (+.f64 (log.f64 (/.f64 1 x)) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) (*.f64 8 (/.f64 1 (pow.f64 x 4))))))
(+.f64 (+.f64 (log.f64 -2) (neg.f64 (log.f64 x))) (+.f64 (/.f64 4 (*.f64 x x)) (/.f64 8 (pow.f64 x 4))))
(+.f64 (log.f64 -2) (+.f64 (-.f64 (/.f64 4 (*.f64 x x)) (log.f64 x)) (/.f64 8 (pow.f64 x 4))))
(+.f64 (-.f64 (log.f64 -2) (log.f64 x)) (+.f64 (/.f64 4 (*.f64 x x)) (/.f64 8 (pow.f64 x 4))))
(+.f64 (log.f64 -2) (+.f64 (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 (log.f64 -2) (+.f64 (+.f64 (neg.f64 (log.f64 x)) (/.f64 4 (*.f64 x x))) (+.f64 (/.f64 8 (pow.f64 x 4)) (/.f64 64/3 (pow.f64 x 6)))))
(+.f64 (log.f64 -2) (+.f64 (-.f64 (/.f64 4 (*.f64 x x)) (log.f64 x)) (+.f64 (/.f64 8 (pow.f64 x 4)) (/.f64 64/3 (pow.f64 x 6)))))
(+.f64 (log.f64 2) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 2) (+.f64 (log.f64 (/.f64 -1 x)) (*.f64 4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 2) (+.f64 (/.f64 4 (*.f64 x x)) (log.f64 (/.f64 -1 x))))
(+.f64 (/.f64 4 (*.f64 x x)) (+.f64 (log.f64 2) (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 2) (+.f64 (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 2) (+.f64 (+.f64 (/.f64 4 (*.f64 x x)) (log.f64 (/.f64 -1 x))) (/.f64 8 (pow.f64 x 4))))
(+.f64 (+.f64 (/.f64 4 (*.f64 x x)) (/.f64 8 (pow.f64 x 4))) (+.f64 (log.f64 2) (log.f64 (/.f64 -1 x))))
(+.f64 (+.f64 (/.f64 4 (*.f64 x x)) (+.f64 (log.f64 2) (log.f64 (/.f64 -1 x)))) (/.f64 8 (pow.f64 x 4)))
(+.f64 (log.f64 2) (+.f64 (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 (log.f64 2) (+.f64 (+.f64 (/.f64 4 (*.f64 x x)) (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 8 (pow.f64 x 4)) (/.f64 64/3 (pow.f64 x 6)))))
(+.f64 (+.f64 (/.f64 4 (*.f64 x x)) (+.f64 (/.f64 8 (pow.f64 x 4)) (/.f64 64/3 (pow.f64 x 6)))) (+.f64 (log.f64 2) (log.f64 (/.f64 -1 x))))
(+.f64 (+.f64 (/.f64 4 (*.f64 x x)) (+.f64 (log.f64 2) (log.f64 (/.f64 -1 x)))) (+.f64 (/.f64 8 (pow.f64 x 4)) (/.f64 64/3 (pow.f64 x 6))))
(*.f64 1/2 x)
(+.f64 (*.f64 1/8 (pow.f64 x 3)) (*.f64 1/2 x))
(fma.f64 1/8 (pow.f64 x 3) (*.f64 1/2 x))
(fma.f64 1/2 x (*.f64 1/8 (pow.f64 x 3)))
(+.f64 (*.f64 1/32 (pow.f64 x 5)) (+.f64 (*.f64 1/8 (pow.f64 x 3)) (*.f64 1/2 x)))
(fma.f64 1/32 (pow.f64 x 5) (fma.f64 1/8 (pow.f64 x 3) (*.f64 1/2 x)))
(fma.f64 1/32 (pow.f64 x 5) (fma.f64 1/2 x (*.f64 1/8 (pow.f64 x 3))))
(+.f64 (*.f64 1/128 (pow.f64 x 7)) (+.f64 (*.f64 1/32 (pow.f64 x 5)) (+.f64 (*.f64 1/8 (pow.f64 x 3)) (*.f64 1/2 x))))
(fma.f64 1/128 (pow.f64 x 7) (fma.f64 1/32 (pow.f64 x 5) (fma.f64 1/8 (pow.f64 x 3) (*.f64 1/2 x))))
(fma.f64 1/128 (pow.f64 x 7) (fma.f64 1/32 (pow.f64 x 5) (fma.f64 1/2 x (*.f64 1/8 (pow.f64 x 3)))))
(/.f64 -2 x)
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 8 (/.f64 1 (pow.f64 x 3)))))
(neg.f64 (+.f64 (/.f64 2 x) (/.f64 8 (pow.f64 x 3))))
(+.f64 (/.f64 -8 (pow.f64 x 3)) (/.f64 -2 x))
(neg.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 32 (/.f64 1 (pow.f64 x 5))) (*.f64 2 (/.f64 1 x)))))
(neg.f64 (+.f64 (/.f64 8 (pow.f64 x 3)) (+.f64 (/.f64 2 x) (/.f64 32 (pow.f64 x 5)))))
(-.f64 (/.f64 -8 (pow.f64 x 3)) (+.f64 (/.f64 2 x) (/.f64 32 (pow.f64 x 5))))
(+.f64 (/.f64 -8 (pow.f64 x 3)) (-.f64 (/.f64 -2 x) (/.f64 32 (pow.f64 x 5))))
(neg.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 32 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 128 (/.f64 1 (pow.f64 x 7))) (*.f64 2 (/.f64 1 x))))))
(neg.f64 (+.f64 (/.f64 8 (pow.f64 x 3)) (+.f64 (/.f64 32 (pow.f64 x 5)) (+.f64 (/.f64 2 x) (/.f64 128 (pow.f64 x 7))))))
(-.f64 (/.f64 -8 (pow.f64 x 3)) (+.f64 (/.f64 32 (pow.f64 x 5)) (+.f64 (/.f64 2 x) (/.f64 128 (pow.f64 x 7)))))
(/.f64 -2 x)
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 8 (/.f64 1 (pow.f64 x 3)))))
(neg.f64 (+.f64 (/.f64 2 x) (/.f64 8 (pow.f64 x 3))))
(+.f64 (/.f64 -8 (pow.f64 x 3)) (/.f64 -2 x))
(neg.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 32 (/.f64 1 (pow.f64 x 5))) (*.f64 2 (/.f64 1 x)))))
(neg.f64 (+.f64 (/.f64 8 (pow.f64 x 3)) (+.f64 (/.f64 2 x) (/.f64 32 (pow.f64 x 5)))))
(-.f64 (/.f64 -8 (pow.f64 x 3)) (+.f64 (/.f64 2 x) (/.f64 32 (pow.f64 x 5))))
(+.f64 (/.f64 -8 (pow.f64 x 3)) (-.f64 (/.f64 -2 x) (/.f64 32 (pow.f64 x 5))))
(neg.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 32 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 128 (/.f64 1 (pow.f64 x 7))) (*.f64 2 (/.f64 1 x))))))
(neg.f64 (+.f64 (/.f64 8 (pow.f64 x 3)) (+.f64 (/.f64 32 (pow.f64 x 5)) (+.f64 (/.f64 2 x) (/.f64 128 (pow.f64 x 7))))))
(-.f64 (/.f64 -8 (pow.f64 x 3)) (+.f64 (/.f64 32 (pow.f64 x 5)) (+.f64 (/.f64 2 x) (/.f64 128 (pow.f64 x 7)))))
(+.f64 (log.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2))) 0)
(log.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2)))
(+.f64 (log.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2))) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 (fma.f64 x (*.f64 x -1/2) 2)))) (sqrt.f64 (log.f64 (fma.f64 x (*.f64 x -1/2) 2))) (log.f64 (fma.f64 x (*.f64 x -1/2) 2))))
(log.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2)))
(+.f64 (log.f64 x) (neg.f64 (log.f64 (fma.f64 x (*.f64 x -1/2) 2))))
(log.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2)))
(+.f64 0 (log.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2))))
(log.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2)))
(+.f64 (log.f64 (sqrt.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2)))) (log.f64 (sqrt.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2)))))
(log.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2)))
(+.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 1 (neg.f64 (fma.f64 x (*.f64 x -1/2) 2)))))
(log.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 x) 2)) (log.f64 (*.f64 (cbrt.f64 x) (/.f64 1 (fma.f64 x (*.f64 x -1/2) 2)))))
(log.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2)))
(+.f64 (log.f64 (sqrt.f64 x)) (log.f64 (*.f64 (sqrt.f64 x) (/.f64 1 (fma.f64 x (*.f64 x -1/2) 2)))))
(log.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2)))
(+.f64 (log.f64 (cbrt.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2)))) (*.f64 2 (log.f64 (cbrt.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2))))))
(log.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2)))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2))))) (log.f64 (cbrt.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2)))))
(log.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2)))
(+.f64 (neg.f64 (log.f64 (fma.f64 x (*.f64 x -1/2) 2))) (log.f64 x))
(log.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2)))
(+.f64 (fma.f64 1 (log.f64 x) (neg.f64 (*.f64 (log.f64 (fma.f64 x (*.f64 x -1/2) 2)) 1))) (fma.f64 (neg.f64 (log.f64 (fma.f64 x (*.f64 x -1/2) 2))) 1 (*.f64 (log.f64 (fma.f64 x (*.f64 x -1/2) 2)) 1)))
(log.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2)))
(+.f64 (fma.f64 1 (log.f64 x) (neg.f64 (*.f64 (cbrt.f64 (log.f64 (fma.f64 x (*.f64 x -1/2) 2))) (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x (*.f64 x -1/2) 2))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (fma.f64 x (*.f64 x -1/2) 2)))) (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x (*.f64 x -1/2) 2))) 2) (*.f64 (cbrt.f64 (log.f64 (fma.f64 x (*.f64 x -1/2) 2))) (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x (*.f64 x -1/2) 2))) 2))))
(log.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (cbrt.f64 (log.f64 x)) (neg.f64 (*.f64 (log.f64 (fma.f64 x (*.f64 x -1/2) 2)) 1))) (fma.f64 (neg.f64 (log.f64 (fma.f64 x (*.f64 x -1/2) 2))) 1 (*.f64 (log.f64 (fma.f64 x (*.f64 x -1/2) 2)) 1)))
(log.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (cbrt.f64 (log.f64 x)) (neg.f64 (*.f64 (cbrt.f64 (log.f64 (fma.f64 x (*.f64 x -1/2) 2))) (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x (*.f64 x -1/2) 2))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (fma.f64 x (*.f64 x -1/2) 2)))) (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x (*.f64 x -1/2) 2))) 2) (*.f64 (cbrt.f64 (log.f64 (fma.f64 x (*.f64 x -1/2) 2))) (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x (*.f64 x -1/2) 2))) 2))))
(log.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2)))
(+.f64 (fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) (neg.f64 (*.f64 (log.f64 (fma.f64 x (*.f64 x -1/2) 2)) 1))) (fma.f64 (neg.f64 (log.f64 (fma.f64 x (*.f64 x -1/2) 2))) 1 (*.f64 (log.f64 (fma.f64 x (*.f64 x -1/2) 2)) 1)))
(log.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2)))
(+.f64 (fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) (neg.f64 (*.f64 (cbrt.f64 (log.f64 (fma.f64 x (*.f64 x -1/2) 2))) (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x (*.f64 x -1/2) 2))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (fma.f64 x (*.f64 x -1/2) 2)))) (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x (*.f64 x -1/2) 2))) 2) (*.f64 (cbrt.f64 (log.f64 (fma.f64 x (*.f64 x -1/2) 2))) (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x (*.f64 x -1/2) 2))) 2))))
(log.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) 2)) -2)) (log.f64 (/.f64 x (cbrt.f64 (fma.f64 x (*.f64 x -1/2) 2)))))
(+.f64 (*.f64 -2 (log.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) 2)))) (log.f64 (/.f64 x (cbrt.f64 (fma.f64 x (*.f64 x -1/2) 2)))))
(fma.f64 -2 (log.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) 2))) (log.f64 (/.f64 x (cbrt.f64 (fma.f64 x (*.f64 x -1/2) 2)))))
(+.f64 (log.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) 2) -1/2)) (log.f64 (/.f64 x (sqrt.f64 (fma.f64 x (*.f64 x -1/2) 2)))))
(+.f64 (*.f64 -1/2 (log.f64 (fma.f64 x (*.f64 x -1/2) 2))) (log.f64 (/.f64 x (sqrt.f64 (fma.f64 x (*.f64 x -1/2) 2)))))
(fma.f64 -1/2 (log.f64 (fma.f64 x (*.f64 x -1/2) 2)) (log.f64 (/.f64 x (sqrt.f64 (fma.f64 x (*.f64 x -1/2) 2)))))
(+.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1)) (log.f64 (/.f64 (cbrt.f64 x) (fma.f64 x (*.f64 x -1/2) 2))))
(log.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2)))
(+.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) 2)) 2))) (log.f64 (cbrt.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2)))))
(+.f64 (log.f64 (cbrt.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2)))) (log.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) 2)) 2))))
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(pow.f64 (exp.f64 (cbrt.f64 (log.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2))))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2)))) 2))
(/.f64 x (fma.f64 x (*.f64 x -1/2) 2))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2)))) 2)) (cbrt.f64 (log.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2)))))
(/.f64 x (fma.f64 x (*.f64 x -1/2) 2))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2)))) 2)) (*.f64 (cbrt.f64 (log.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2)))) 1))
(/.f64 x (fma.f64 x (*.f64 x -1/2) 2))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2))))) (sqrt.f64 (log.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2)))))
(/.f64 x (fma.f64 x (*.f64 x -1/2) 2))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2))))) (*.f64 (sqrt.f64 (log.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2)))) 1))
(/.f64 x (fma.f64 x (*.f64 x -1/2) 2))
(pow.f64 (+.f64 1 (-.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2)) 1)) 1)
(/.f64 x (fma.f64 x (*.f64 x -1/2) 2))
(pow.f64 (/.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x (*.f64 x -1/2) 2) 3)) 1/3)
(/.f64 x (fma.f64 x (*.f64 x -1/2) 2))
(pow.f64 (/.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 2) x) 1) -1)
(/.f64 x (fma.f64 x (*.f64 x -1/2) 2))
(pow.f64 (pow.f64 (exp.f64 1) 1) (log.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2))))
(/.f64 x (fma.f64 x (*.f64 x -1/2) 2))
(pow.f64 (pow.f64 (exp.f64 1) (cbrt.f64 (log.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2))))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2)))) 2))
(/.f64 x (fma.f64 x (*.f64 x -1/2) 2))
(pow.f64 (pow.f64 (exp.f64 1) (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2)))) 2)) (cbrt.f64 (log.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2)))))
(/.f64 x (fma.f64 x (*.f64 x -1/2) 2))
(pow.f64 (pow.f64 (exp.f64 1) (sqrt.f64 (log.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2))))) (sqrt.f64 (log.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2)))))
(/.f64 x (fma.f64 x (*.f64 x -1/2) 2))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2)))) 2)) 1) (cbrt.f64 (log.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2)))))
(/.f64 x (fma.f64 x (*.f64 x -1/2) 2))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2)))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2))))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2)))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2)))) 2))) (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2)))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2)))))) (cbrt.f64 (sqrt.f64 (log.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2)))) 2)) (sqrt.f64 (cbrt.f64 (log.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2)))))) (sqrt.f64 (cbrt.f64 (log.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2))))) 1) (sqrt.f64 (log.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2)))))
(/.f64 x (fma.f64 x (*.f64 x -1/2) 2))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2))))) (cbrt.f64 (log.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2))))) (cbrt.f64 (sqrt.f64 (log.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2)))) 2))) (sqrt.f64 (cbrt.f64 (log.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2))))) (fabs.f64 (cbrt.f64 (log.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2)))))) (sqrt.f64 (cbrt.f64 (log.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2))))) (cbrt.f64 (log.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2))))) (sqrt.f64 (cbrt.f64 (log.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2))))) (sqrt.f64 (sqrt.f64 (log.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2)))))) (sqrt.f64 (sqrt.f64 (log.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2))))))
(neg.f64 (/.f64 x (neg.f64 (fma.f64 x (*.f64 x -1/2) 2))))
(/.f64 x (fma.f64 x (*.f64 x -1/2) 2))
(sqrt.f64 (pow.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2)) 2))
(/.f64 x (fma.f64 x (*.f64 x -1/2) 2))
(log.f64 (exp.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2))))
(/.f64 x (fma.f64 x (*.f64 x -1/2) 2))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2)))))
(/.f64 x (fma.f64 x (*.f64 x -1/2) 2))
(cbrt.f64 (pow.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2)) 3))
(/.f64 x (fma.f64 x (*.f64 x -1/2) 2))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x (*.f64 x -1/2) 2) 3)))
(/.f64 x (fma.f64 x (*.f64 x -1/2) 2))
(expm1.f64 (log1p.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2))))
(/.f64 x (fma.f64 x (*.f64 x -1/2) 2))
(exp.f64 (log.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2))))
(/.f64 x (fma.f64 x (*.f64 x -1/2) 2))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2)))) 3))
(/.f64 x (fma.f64 x (*.f64 x -1/2) 2))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2)) 3)) 1/3))
(/.f64 x (fma.f64 x (*.f64 x -1/2) 2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2)))) 2))
(/.f64 x (fma.f64 x (*.f64 x -1/2) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 2) x)) -1))
(/.f64 x (fma.f64 x (*.f64 x -1/2) 2))
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (neg.f64 (log.f64 (fma.f64 x (*.f64 x -1/2) 2)))))
(/.f64 x (fma.f64 x (*.f64 x -1/2) 2))
(exp.f64 (+.f64 (neg.f64 (log.f64 (fma.f64 x (*.f64 x -1/2) 2))) (*.f64 (log.f64 x) 1)))
(/.f64 x (fma.f64 x (*.f64 x -1/2) 2))
(log1p.f64 (expm1.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 2))))
(/.f64 x (fma.f64 x (*.f64 x -1/2) 2))

eval312.0ms (3.6%)

Compiler

Compiled 4634 to 3502 computations (24.4% saved)

prune120.0ms (1.4%)

Pruning

5 alts after pruning (0 fresh and 5 done)

PrunedKeptTotal
New2400240
Fresh000
Picked011
Done044
Total2405245
Accuracy
100.0%
Counts
245 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.9%
(neg.f64 (log.f64 (/.f64 x (+.f64 2 (*.f64 -1/2 (*.f64 x x))))))
100.0%
(neg.f64 (log.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
98.9%
(log.f64 (/.f64 (+.f64 2 (*.f64 -1/2 (*.f64 x x))) x))
100.0%
(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
98.1%
(log.f64 (/.f64 2 x))
Compiler

Compiled 137 to 98 computations (28.5% saved)

regimes63.0ms (0.7%)

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

3 calls:

21.0ms
(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
20.0ms
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
14.0ms
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 113 to 78 computations (31% saved)

regimes19.0ms (0.2%)

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

1 calls:

12.0ms
x
Results
AccuracySegmentsBranch
100.0%1x
Compiler

Compiled 73 to 51 computations (30.1% saved)

regimes16.0ms (0.2%)

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

1 calls:

11.0ms
x
Results
AccuracySegmentsBranch
98.9%1x
Compiler

Compiled 50 to 36 computations (28% saved)

regimes12.0ms (0.1%)

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

1 calls:

10.0ms
x
Results
AccuracySegmentsBranch
98.9%1x
Compiler

Compiled 17 to 13 computations (23.5% saved)

regimes12.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

1 calls:

11.0ms
x
Results
AccuracySegmentsBranch
98.1%1x
Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify22.0ms (0.3%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
027141
141141
248141
352141
454141
Stop Event
done
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 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
(log.f64 (/.f64 (+.f64 2 (*.f64 -1/2 (*.f64 x x))) x))
(log.f64 (+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))
(log.f64 (/.f64 2 x))
Outputs
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
(log.f64 (/.f64 (+.f64 2 (*.f64 -1/2 (*.f64 x x))) x))
(log.f64 (/.f64 (+.f64 2 (*.f64 (*.f64 x x) -1/2)) x))
(log.f64 (+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))
(log.f64 (+.f64 (*.f64 x -1/2) (*.f64 (/.f64 1 x) 2)))
(log.f64 (/.f64 2 x))
Compiler

Compiled 53 to 40 computations (24.5% saved)

soundness538.0ms (6.2%)

Rules
1214×log-prod
912×fma-neg
858×fma-def
854×pow-prod-down
708×log-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
012114
1262114
23752110
063212285
1157411491
2560511399
059310620
114839988
255259768
Stop Event
node limit
node limit
node limit
Compiler

Compiled 255 to 177 computations (30.6% saved)

end0.0ms (0%)

preprocess50.0ms (0.6%)

Compiler

Compiled 126 to 88 computations (30.2% saved)

Profiling

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