Hyperbolic arc-(co)secant

Time bar (total: 2.7s)

analyze5.0ms (0.2%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
0%0%50%0%0%50%0%3
33.3%12.5%25%0%0%62.5%0%4
60%18.7%12.5%0%0%68.7%0%5
77.8%21.9%6.2%0%0%71.8%0%6
88.2%23.4%3.1%0%0%73.4%0%7
93.9%24.2%1.6%0%0%74.2%0%8
96.9%24.6%0.8%0%0%74.6%0%9
98.4%24.8%0.4%0%0%74.8%0%10
99.2%24.9%0.2%0%0%74.9%0%11
99.6%24.9%0.1%0%0%74.9%0%12
Compiler

Compiled 15 to 11 computations (26.7% saved)

sample1.1s (42%)

Results
1.1s8256×body256valid
2.0ms21×body256invalid
Bogosity

preprocess272.0ms (10.2%)

Algorithm
egg-herbie
Rules
1654×fma-def
1242×sub-neg
1138×distribute-lft-out
842×associate-+r+
722×*-commutative
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 14 to 10 computations (28.6% 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)

localize74.0ms (2.8%)

Localize:

Found 2 expressions with local error:

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

Compiled 54 to 30 computations (44.4% saved)

series3.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

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

rewrite73.0ms (2.8%)

Algorithm
batch-egg-rewrite
Rules
1872×pow1
1740×add-exp-log
1738×log1p-expm1-u
1738×expm1-log1p-u
1704×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0940
118940
2241840
Stop Event
node limit
Counts
2 → 53
Calls
Call 1
Inputs
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
Outputs
(-.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 1)
(*.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 1 1/2) (sqrt.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 4))) (sqrt.f64 (+.f64 1 (*.f64 x x))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 6))) (sqrt.f64 (+.f64 (+.f64 1 (pow.f64 x 4)) (*.f64 x 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)) 1/4) 2)
(fabs.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))
(log.f64 (exp.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)))))
(exp.f64 (*.f64 (log1p.f64 (*.f64 x (neg.f64 x))) 1/2))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(-.f64 (+.f64 1 (/.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))) (/.f64 1 x))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) 1)
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) (cbrt.f64 (/.f64 (-.f64 1 (*.f64 x x)) (*.f64 x x))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 (*.f64 x x)) (*.f64 x x))) (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)))) (/.f64 1 x)))
(*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) (/.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(*.f64 (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (/.f64 1 (neg.f64 x)))
(*.f64 (/.f64 1 x) (sqrt.f64 (-.f64 1 (*.f64 x x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (cbrt.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.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)))
(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 (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)
(neg.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (neg.f64 x)))
(sqrt.f64 (/.f64 (-.f64 1 (*.f64 x x)) (*.f64 x x)))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2) (pow.f64 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)))
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))

simplify71.0ms (2.7%)

Algorithm
egg-herbie
Rules
1140×fma-def
908×associate-/r*
858×associate-*r/
848×associate-/l*
778×times-frac
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02033015
15182707
219022443
Stop Event
node limit
Counts
77 → 146
Calls
Call 1
Inputs
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 1 x)
(+.f64 (*.f64 -1/2 x) (/.f64 1 x))
(+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 -1/8 (pow.f64 x 3)) (/.f64 1 x)))
(+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 -1/8 (pow.f64 x 3)) (+.f64 (*.f64 -1/16 (pow.f64 x 5)) (/.f64 1 x))))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(-.f64 (+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) (sqrt.f64 -1))))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)))))
(-.f64 (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5)))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) (sqrt.f64 -1)))))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)))))
(*.f64 -1 (sqrt.f64 -1))
(-.f64 (*.f64 -1 (sqrt.f64 -1)) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(-.f64 (+.f64 (*.f64 -1 (sqrt.f64 -1)) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(-.f64 (+.f64 (*.f64 -1 (sqrt.f64 -1)) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))))) (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5)))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) (sqrt.f64 -1))))))
(-.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 1)
(*.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 1 1/2) (sqrt.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 4))) (sqrt.f64 (+.f64 1 (*.f64 x x))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 6))) (sqrt.f64 (+.f64 (+.f64 1 (pow.f64 x 4)) (*.f64 x 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)) 1/4) 2)
(fabs.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))
(log.f64 (exp.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)))))
(exp.f64 (*.f64 (log1p.f64 (*.f64 x (neg.f64 x))) 1/2))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(-.f64 (+.f64 1 (/.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))) (/.f64 1 x))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) 1)
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) (cbrt.f64 (/.f64 (-.f64 1 (*.f64 x x)) (*.f64 x x))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 (*.f64 x x)) (*.f64 x x))) (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)))) (/.f64 1 x)))
(*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) (/.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(*.f64 (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (/.f64 1 (neg.f64 x)))
(*.f64 (/.f64 1 x) (sqrt.f64 (-.f64 1 (*.f64 x x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (cbrt.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.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)))
(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 (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)
(neg.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (neg.f64 x)))
(sqrt.f64 (/.f64 (-.f64 1 (*.f64 x x)) (*.f64 x x)))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2) (pow.f64 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)))
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
Outputs
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 x (*.f64 -1/2 x))))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -1/8 (pow.f64 x 4) 1))
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(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(+.f64 1 (-.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) 1))
(+.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) 0)
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
(*.f64 (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (/.f64 1 (neg.f64 x)))
(+.f64 1 (-.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) 1))
(+.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) 0)
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
(*.f64 (/.f64 1 x) (sqrt.f64 (-.f64 1 (*.f64 x x))))
(+.f64 1 (-.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) 1))
(+.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) 0)
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (cbrt.f64 x)))
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 x)))
(+.f64 1 (-.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) 1))
(+.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) 0)
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 1) (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
(*.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) (*.f64 (/.f64 1 x) (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(/.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) (/.f64 x (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(*.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) (/.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 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) (/.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) (pow.f64 (cbrt.f64 x) 2)))
(*.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 (cbrt.f64 (-.f64 1 (*.f64 x x))) (*.f64 (/.f64 1 x) (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(/.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) (/.f64 x (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(*.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 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 1 (-.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) 1))
(+.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) 0)
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 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 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (cbrt.f64 x)))
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x)))
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) 1)
(+.f64 1 (-.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) 1))
(+.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) 0)
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) 3)
(+.f64 1 (-.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) 1))
(+.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) 0)
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) 3) 1/3)
(+.f64 1 (-.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) 1))
(+.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) 0)
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) 2)
(+.f64 1 (-.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) 1))
(+.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) 0)
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
(pow.f64 (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))) -1)
(+.f64 1 (-.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) 1))
(+.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) 0)
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
(neg.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (neg.f64 x)))
(+.f64 1 (-.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) 1))
(+.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) 0)
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
(sqrt.f64 (/.f64 (-.f64 1 (*.f64 x x)) (*.f64 x x)))
(sqrt.f64 (+.f64 (/.f64 1 (*.f64 x x)) -1))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(+.f64 1 (-.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) 1))
(+.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) 0)
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) 3))
(+.f64 1 (-.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) 1))
(+.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) 0)
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(+.f64 1 (-.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) 1))
(+.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) 0)
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
(exp.f64 (log.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(+.f64 1 (-.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) 1))
(+.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) 0)
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(+.f64 1 (-.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) 1))
(+.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) 0)
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)

eval75.0ms (2.8%)

Compiler

Compiled 3117 to 2329 computations (25.3% saved)

prune26.0ms (1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1442146
Fresh000
Picked011
Done000
Total1443147
Accuracy
100.0%
Counts
147 → 3
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)))
99.5%
(log.f64 (+.f64 (/.f64 1 x) (/.f64 1 x)))
99.7%
(log.f64 (+.f64 (/.f64 1 x) (+.f64 (*.f64 -1/2 x) (/.f64 1 x))))
100.0%
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
99.5%
(log.f64 (+.f64 (/.f64 1 x) (/.f64 1 x)))
99.7%
(log.f64 (+.f64 (/.f64 1 x) (+.f64 (*.f64 -1/2 x) (/.f64 1 x))))
Compiler

Compiled 72 to 54 computations (25% saved)

localize84.0ms (3.1%)

Localize:

Found 3 expressions with local error:

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

Compiled 61 to 44 computations (27.9% saved)

series94.0ms (3.6%)

Counts
3 → 27
Calls

9 calls:

TimeVariablePointExpression
47.0ms
x
@-inf
(log.f64 (+.f64 (/.f64 1 x) (/.f64 1 x)))
31.0ms
x
@0
(log.f64 (+.f64 (/.f64 1 x) (/.f64 1 x)))
14.0ms
x
@inf
(log.f64 (+.f64 (/.f64 1 x) (/.f64 1 x)))
1.0ms
x
@inf
(log.f64 (+.f64 (/.f64 1 x) (+.f64 (*.f64 -1/2 x) (/.f64 1 x))))
1.0ms
x
@0
(log.f64 (+.f64 (/.f64 1 x) (+.f64 (*.f64 -1/2 x) (/.f64 1 x))))

rewrite184.0ms (6.9%)

Algorithm
batch-egg-rewrite
Rules
1224×fma-def
1206×log-prod
602×pow-exp
528×fma-neg
476×expm1-udef
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01363
128249
2411045
Stop Event
node limit
Counts
3 → 193
Calls
Call 1
Inputs
(log.f64 (+.f64 (/.f64 1 x) (+.f64 (*.f64 -1/2 x) (/.f64 1 x))))
(+.f64 (*.f64 -1/2 x) (/.f64 1 x))
(log.f64 (+.f64 (/.f64 1 x) (/.f64 1 x)))
Outputs
(+.f64 (log.f64 (fma.f64 x -1/2 (/.f64 0 0))) 0)
(+.f64 0 (log.f64 (fma.f64 x -1/2 (/.f64 0 0))))
(+.f64 (log.f64 (cbrt.f64 (fma.f64 x -1/2 (/.f64 0 0)))) (log.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/2 (/.f64 0 0)) 2))))
(+.f64 (log.f64 (sqrt.f64 (fma.f64 x -1/2 (/.f64 0 0)))) (log.f64 (sqrt.f64 (fma.f64 x -1/2 (/.f64 0 0)))))
(+.f64 (log.f64 (+.f64 (pow.f64 (fma.f64 x -1/2 (/.f64 1 x)) 3) (pow.f64 x -3))) (log.f64 (/.f64 1 (fma.f64 (fma.f64 x -1/2 (/.f64 1 x)) (-.f64 (fma.f64 x -1/2 (/.f64 1 x)) (/.f64 1 x)) (pow.f64 x -2)))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/2 (/.f64 0 0)) 2))) (log.f64 (cbrt.f64 (fma.f64 x -1/2 (/.f64 0 0)))))
(+.f64 (log.f64 (*.f64 (fma.f64 x -1/2 (/.f64 0 0)) (-.f64 0 (*.f64 x -1/2)))) (log.f64 (/.f64 1 (-.f64 0 (*.f64 x -1/2)))))
(-.f64 0 (log.f64 (/.f64 (fma.f64 (fma.f64 x -1/2 (/.f64 1 x)) (-.f64 (fma.f64 x -1/2 (/.f64 1 x)) (/.f64 1 x)) (pow.f64 x -2)) (+.f64 (pow.f64 (fma.f64 x -1/2 (/.f64 1 x)) 3) (pow.f64 x -3)))))
(-.f64 0 (log.f64 (/.f64 (-.f64 0 (*.f64 x -1/2)) (*.f64 (fma.f64 x -1/2 (/.f64 0 0)) (-.f64 0 (*.f64 x -1/2))))))
(-.f64 (log.f64 (+.f64 (pow.f64 (fma.f64 x -1/2 (/.f64 1 x)) 3) (pow.f64 x -3))) (log.f64 (fma.f64 (fma.f64 x -1/2 (/.f64 1 x)) (-.f64 (fma.f64 x -1/2 (/.f64 1 x)) (/.f64 1 x)) (pow.f64 x -2))))
(-.f64 (log.f64 (+.f64 (pow.f64 (fma.f64 x -1/2 (/.f64 1 x)) 3) (pow.f64 x -3))) (log.f64 (+.f64 (pow.f64 (fma.f64 x -1/2 (/.f64 1 x)) 2) (-.f64 (pow.f64 x -2) (/.f64 (fma.f64 x -1/2 (/.f64 1 x)) x)))))
(-.f64 (log.f64 (*.f64 (fma.f64 x -1/2 (/.f64 0 0)) (-.f64 0 (*.f64 x -1/2)))) (log.f64 (-.f64 0 (*.f64 x -1/2))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (fma.f64 x -1/2 (/.f64 0 0))))) 1)
(-.f64 (log.f64 (+.f64 (-.f64 (fma.f64 (*.f64 x x) 1/4 (pow.f64 x -2)) (/.f64 (*.f64 x -1/2) x)) (*.f64 x (fma.f64 (pow.f64 x 3) -1/8 (pow.f64 x -3))))) (log.f64 (*.f64 x (-.f64 (fma.f64 (*.f64 x x) 1/4 (pow.f64 x -2)) (/.f64 (*.f64 x -1/2) x)))))
(-.f64 (log.f64 (+.f64 (-.f64 (*.f64 x -1/2) (/.f64 1 x)) (*.f64 x (-.f64 (*.f64 (*.f64 x x) 1/4) (pow.f64 x -2))))) (log.f64 (*.f64 x (-.f64 (*.f64 x -1/2) (/.f64 1 x)))))
(-.f64 (log.f64 (fma.f64 -1 (-.f64 (fma.f64 (*.f64 x x) 1/4 (pow.f64 x -2)) (/.f64 (*.f64 x -1/2) x)) (*.f64 (neg.f64 x) (fma.f64 (pow.f64 x 3) -1/8 (pow.f64 x -3))))) (log.f64 (*.f64 (neg.f64 x) (-.f64 (fma.f64 (*.f64 x x) 1/4 (pow.f64 x -2)) (/.f64 (*.f64 x -1/2) x)))))
(-.f64 (log.f64 (fma.f64 -1 (-.f64 (*.f64 x -1/2) (/.f64 1 x)) (*.f64 (neg.f64 x) (-.f64 (*.f64 (*.f64 x x) 1/4) (pow.f64 x -2))))) (log.f64 (*.f64 (neg.f64 x) (-.f64 (*.f64 x -1/2) (/.f64 1 x)))))
(-.f64 (log.f64 (fma.f64 (fma.f64 (pow.f64 x 3) -1/8 (pow.f64 x -3)) x (*.f64 (-.f64 (fma.f64 (*.f64 x x) 1/4 (pow.f64 x -2)) (/.f64 (*.f64 x -1/2) x)) 1))) (log.f64 (*.f64 (-.f64 (fma.f64 (*.f64 x x) 1/4 (pow.f64 x -2)) (/.f64 (*.f64 x -1/2) x)) x)))
(-.f64 (log.f64 (fma.f64 (fma.f64 (pow.f64 x 3) -1/8 (pow.f64 x -3)) (neg.f64 x) (*.f64 (-.f64 (fma.f64 (*.f64 x x) 1/4 (pow.f64 x -2)) (/.f64 (*.f64 x -1/2) x)) -1))) (log.f64 (*.f64 (-.f64 (fma.f64 (*.f64 x x) 1/4 (pow.f64 x -2)) (/.f64 (*.f64 x -1/2) x)) (neg.f64 x))))
(-.f64 (log.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (pow.f64 x -2)) x (*.f64 (-.f64 (*.f64 x -1/2) (/.f64 1 x)) 1))) (log.f64 (*.f64 (-.f64 (*.f64 x -1/2) (/.f64 1 x)) x)))
(-.f64 (log.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (pow.f64 x -2)) (neg.f64 x) (*.f64 (-.f64 (*.f64 x -1/2) (/.f64 1 x)) -1))) (log.f64 (*.f64 (-.f64 (*.f64 x -1/2) (/.f64 1 x)) (neg.f64 x))))
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x -1/2 (/.f64 1 x)) 3) (pow.f64 x -3)))) (log.f64 (neg.f64 (fma.f64 (fma.f64 x -1/2 (/.f64 1 x)) (-.f64 (fma.f64 x -1/2 (/.f64 1 x)) (/.f64 1 x)) (pow.f64 x -2)))))
(-.f64 (log.f64 (neg.f64 (*.f64 (fma.f64 x -1/2 (/.f64 0 0)) (-.f64 0 (*.f64 x -1/2))))) (log.f64 (neg.f64 (-.f64 0 (*.f64 x -1/2)))))
(-.f64 (log.f64 (-.f64 (pow.f64 (fma.f64 x -1/2 (/.f64 1 x)) 2) (pow.f64 x -2))) (log.f64 (-.f64 (fma.f64 x -1/2 (/.f64 1 x)) (/.f64 1 x))))
(*.f64 1 (log.f64 (fma.f64 x -1/2 (/.f64 0 0))))
(*.f64 (log.f64 (fma.f64 x -1/2 (/.f64 0 0))) 1)
(*.f64 (cbrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 0 0)))) (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 0 0)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 0 0)))) 2) (cbrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 0 0)))))
(*.f64 (sqrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 0 0)))) (sqrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 0 0)))))
(*.f64 3 (log.f64 (cbrt.f64 (fma.f64 x -1/2 (/.f64 0 0)))))
(*.f64 2 (log.f64 (sqrt.f64 (fma.f64 x -1/2 (/.f64 0 0)))))
(*.f64 1/3 (log.f64 (pow.f64 (fma.f64 x -1/2 (/.f64 0 0)) 3)))
(pow.f64 (log.f64 (fma.f64 x -1/2 (/.f64 0 0))) 1)
(pow.f64 (cbrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 0 0)))) 3)
(pow.f64 (pow.f64 (log.f64 (fma.f64 x -1/2 (/.f64 0 0))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 0 0)))) 2)
(neg.f64 (log.f64 (/.f64 (fma.f64 (fma.f64 x -1/2 (/.f64 1 x)) (-.f64 (fma.f64 x -1/2 (/.f64 1 x)) (/.f64 1 x)) (pow.f64 x -2)) (+.f64 (pow.f64 (fma.f64 x -1/2 (/.f64 1 x)) 3) (pow.f64 x -3)))))
(neg.f64 (log.f64 (/.f64 (-.f64 0 (*.f64 x -1/2)) (*.f64 (fma.f64 x -1/2 (/.f64 0 0)) (-.f64 0 (*.f64 x -1/2))))))
(sqrt.f64 (pow.f64 (log.f64 (fma.f64 x -1/2 (/.f64 0 0))) 2))
(cbrt.f64 (pow.f64 (log.f64 (fma.f64 x -1/2 (/.f64 0 0))) 3))
(expm1.f64 (log1p.f64 (log.f64 (fma.f64 x -1/2 (/.f64 0 0)))))
(exp.f64 (log.f64 (log.f64 (fma.f64 x -1/2 (/.f64 0 0)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (fma.f64 x -1/2 (/.f64 0 0)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 (fma.f64 x -1/2 (/.f64 0 0)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 0 0))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (fma.f64 x -1/2 (/.f64 0 0))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 0 0))))) 2))
(log1p.f64 (-.f64 (fma.f64 x -1/2 (/.f64 0 0)) 1))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x -1/2 (/.f64 1 x)))) 1)
(-.f64 (/.f64 (*.f64 (*.f64 x x) 1/4) (-.f64 (*.f64 x -1/2) (/.f64 1 x))) (/.f64 (pow.f64 x -2) (-.f64 (*.f64 x -1/2) (/.f64 1 x))))
(*.f64 1 (fma.f64 x -1/2 (/.f64 1 x)))
(*.f64 (fma.f64 x -1/2 (/.f64 1 x)) 1)
(*.f64 (cbrt.f64 (fma.f64 x -1/2 (/.f64 1 x))) (cbrt.f64 (pow.f64 (fma.f64 x -1/2 (/.f64 1 x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/2 (/.f64 1 x)) 2)) (cbrt.f64 (fma.f64 x -1/2 (/.f64 1 x))))
(*.f64 (sqrt.f64 (fma.f64 x -1/2 (/.f64 1 x))) (sqrt.f64 (fma.f64 x -1/2 (/.f64 1 x))))
(*.f64 (fma.f64 (pow.f64 x 3) -1/8 (pow.f64 x -3)) (/.f64 1 (-.f64 (fma.f64 (*.f64 x x) 1/4 (pow.f64 x -2)) (/.f64 (*.f64 x -1/2) x))))
(*.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (pow.f64 x -2)) (/.f64 1 (-.f64 (*.f64 x -1/2) (/.f64 1 x))))
(/.f64 1 (/.f64 (-.f64 (fma.f64 (*.f64 x x) 1/4 (pow.f64 x -2)) (/.f64 (*.f64 x -1/2) x)) (fma.f64 (pow.f64 x 3) -1/8 (pow.f64 x -3))))
(/.f64 1 (/.f64 (-.f64 (*.f64 x -1/2) (/.f64 1 x)) (-.f64 (*.f64 (*.f64 x x) 1/4) (pow.f64 x -2))))
(/.f64 (fma.f64 (pow.f64 x 3) -1/8 (pow.f64 x -3)) (-.f64 (fma.f64 (*.f64 x x) 1/4 (pow.f64 x -2)) (/.f64 (*.f64 x -1/2) x)))
(/.f64 (fma.f64 (pow.f64 x 3) -1/8 (pow.f64 x -3)) (+.f64 (pow.f64 x -2) (-.f64 (*.f64 (*.f64 x x) 1/4) (/.f64 (*.f64 x -1/2) x))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (pow.f64 x -2)) (-.f64 (*.f64 x -1/2) (/.f64 1 x)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 3) -1/8 (pow.f64 x -3))) (neg.f64 (-.f64 (fma.f64 (*.f64 x x) 1/4 (pow.f64 x -2)) (/.f64 (*.f64 x -1/2) x))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (pow.f64 x -2))) (neg.f64 (-.f64 (*.f64 x -1/2) (/.f64 1 x))))
(/.f64 (-.f64 (pow.f64 x -2) (*.f64 (*.f64 x x) 1/4)) (-.f64 (/.f64 1 x) (*.f64 x -1/2)))
(pow.f64 (fma.f64 x -1/2 (/.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (fma.f64 x -1/2 (/.f64 1 x))) 3)
(pow.f64 (pow.f64 (fma.f64 x -1/2 (/.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x -1/2 (/.f64 1 x))) 2)
(pow.f64 (/.f64 (-.f64 (fma.f64 (*.f64 x x) 1/4 (pow.f64 x -2)) (/.f64 (*.f64 x -1/2) x)) (fma.f64 (pow.f64 x 3) -1/8 (pow.f64 x -3))) -1)
(pow.f64 (/.f64 (-.f64 (*.f64 x -1/2) (/.f64 1 x)) (-.f64 (*.f64 (*.f64 x x) 1/4) (pow.f64 x -2))) -1)
(sqrt.f64 (pow.f64 (fma.f64 x -1/2 (/.f64 1 x)) 2))
(log.f64 (exp.f64 (fma.f64 x -1/2 (/.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x -1/2 (/.f64 1 x)))))
(log.f64 (*.f64 (exp.f64 (/.f64 1 x)) (+.f64 1 (expm1.f64 (*.f64 x -1/2)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 1 x))) (pow.f64 (exp.f64 x) -1/2)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 1 x))) (+.f64 1 (expm1.f64 (*.f64 x -1/2)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 x) -1/2) (+.f64 1 (expm1.f64 (/.f64 1 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x -1/2))) (exp.f64 (/.f64 1 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x -1/2))) (+.f64 1 (expm1.f64 (/.f64 1 x)))))
(cbrt.f64 (pow.f64 (fma.f64 x -1/2 (/.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x -1/2 (/.f64 1 x))))
(exp.f64 (log.f64 (fma.f64 x -1/2 (/.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x -1/2 (/.f64 1 x))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x -1/2 (/.f64 1 x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x -1/2 (/.f64 1 x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 x -1/2 (/.f64 1 x)))) 1/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x -1/2 (/.f64 1 x))) 3) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x -1/2 (/.f64 1 x)))) 2))
(log1p.f64 (expm1.f64 (fma.f64 x -1/2 (/.f64 1 x))))
(fma.f64 1 (/.f64 1 x) (*.f64 x -1/2))
(fma.f64 1 (*.f64 x -1/2) (/.f64 1 x))
(fma.f64 x -1/2 (/.f64 1 x))
(fma.f64 (/.f64 1 x) 1 (*.f64 x -1/2))
(fma.f64 -1/2 x (/.f64 1 x))
(fma.f64 (*.f64 x -1/2) 1 (/.f64 1 x))
(fma.f64 (cbrt.f64 (*.f64 x -1/2)) (cbrt.f64 (*.f64 (*.f64 x x) 1/4)) (/.f64 1 x))
(fma.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/4)) (cbrt.f64 (*.f64 x -1/2)) (/.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) -1/2) (/.f64 1 x))
(fma.f64 (/.f64 1 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -2)) (*.f64 x -1/2))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)) (*.f64 x -1/2))
(fma.f64 (sqrt.f64 (*.f64 x -1/2)) (sqrt.f64 (*.f64 x -1/2)) (/.f64 1 x))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) -1/2) (/.f64 1 x))
(fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (*.f64 x -1/2))
(fma.f64 -1 (/.f64 1 (neg.f64 x)) (*.f64 x -1/2))
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (cbrt.f64 x)) (*.f64 x -1/2))
(fma.f64 (*.f64 -1/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (/.f64 1 x))
(fma.f64 (*.f64 -1/2 (sqrt.f64 x)) (sqrt.f64 x) (/.f64 1 x))
(+.f64 (log.f64 (/.f64 0 0)) (log.f64 (/.f64 0 0)))
(+.f64 (log.f64 (/.f64 0 0)) 0)
(+.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(+.f64 (log.f64 2) (log.f64 (*.f64 (/.f64 1 x) (/.f64 0 0))))
(+.f64 (neg.f64 (log.f64 x)) (log.f64 2))
(+.f64 0 (log.f64 (/.f64 0 0)))
(+.f64 (log.f64 4) (*.f64 -2 (log.f64 x)))
(+.f64 (neg.f64 (log.f64 (cbrt.f64 x))) (log.f64 (+.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 (pow.f64 x -2)))))
(+.f64 (*.f64 -1/2 (log.f64 x)) (log.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 x -1/2))))
(+.f64 (log.f64 (+.f64 x x)) (*.f64 -2 (log.f64 x)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 x -2))) (log.f64 (+.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 1 (cbrt.f64 x)))))
(+.f64 (log.f64 (*.f64 2 (pow.f64 x -3))) (log.f64 (/.f64 1 (+.f64 0 (pow.f64 x -2)))))
(+.f64 (log.f64 0) (log.f64 (pow.f64 0 -1)))
(+.f64 (log.f64 (cbrt.f64 2)) (neg.f64 (log.f64 (cbrt.f64 x))))
(+.f64 (log.f64 (sqrt.f64 2)) (*.f64 -1/2 (log.f64 x)))
(+.f64 (log.f64 (*.f64 2 (cbrt.f64 (pow.f64 x -2)))) (neg.f64 (log.f64 (cbrt.f64 x))))
(+.f64 (log.f64 (*.f64 2 (pow.f64 x -1/2))) (*.f64 -1/2 (log.f64 x)))
(+.f64 (log.f64 (*.f64 (/.f64 0 0) 2)) (neg.f64 (log.f64 x)))
(-.f64 (log.f64 2) (log.f64 x))
(-.f64 0 (log.f64 (/.f64 0 0)))
(-.f64 0 (log.f64 (/.f64 (*.f64 x x) (+.f64 x x))))
(-.f64 0 (log.f64 (/.f64 (+.f64 0 (pow.f64 x -2)) (*.f64 2 (pow.f64 x -3)))))
(-.f64 (log.f64 (+.f64 x x)) (*.f64 2 (log.f64 x)))
(-.f64 (log.f64 (*.f64 2 (pow.f64 x -3))) (log.f64 (+.f64 0 (pow.f64 x -2))))
(-.f64 (log.f64 0) (log.f64 0))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 0 0)))) 1)
(-.f64 (log.f64 (cbrt.f64 (*.f64 2 (pow.f64 x -3)))) (log.f64 (cbrt.f64 (+.f64 0 (pow.f64 x -2)))))
(-.f64 (log.f64 (sqrt.f64 (*.f64 2 (pow.f64 x -3)))) (log.f64 (sqrt.f64 (+.f64 0 (pow.f64 x -2)))))
(-.f64 (log.f64 (cbrt.f64 (+.f64 x x))) (*.f64 2 (log.f64 (cbrt.f64 x))))
(-.f64 (log.f64 (sqrt.f64 (+.f64 x x))) (log.f64 x))
(-.f64 (log.f64 (*.f64 (+.f64 x x) (+.f64 x x))) (log.f64 (*.f64 (*.f64 x x) (*.f64 x x))))
(-.f64 (log.f64 (*.f64 (*.f64 2 (pow.f64 x -3)) (*.f64 2 (pow.f64 x -3)))) (log.f64 (*.f64 (+.f64 0 (pow.f64 x -2)) (+.f64 0 (pow.f64 x -2)))))
(-.f64 (log.f64 (sqrt.f64 0)) (log.f64 (sqrt.f64 0)))
(-.f64 (log.f64 -2) (log.f64 (neg.f64 x)))
(-.f64 (log.f64 (fma.f64 -1 x (*.f64 x -1))) (log.f64 (*.f64 x (neg.f64 x))))
(-.f64 (log.f64 (fma.f64 -1 x (*.f64 (neg.f64 x) 1))) (log.f64 (*.f64 (neg.f64 x) x)))
(-.f64 (log.f64 (fma.f64 -1 (neg.f64 x) (*.f64 (neg.f64 x) -1))) (log.f64 (*.f64 (neg.f64 x) (neg.f64 x))))
(-.f64 (log.f64 (*.f64 (+.f64 x x) (*.f64 2 (pow.f64 x -3)))) (log.f64 (*.f64 (*.f64 x x) (+.f64 0 (pow.f64 x -2)))))
(-.f64 (log.f64 (*.f64 (+.f64 x x) 0)) (log.f64 (*.f64 (*.f64 x x) 0)))
(-.f64 (log.f64 (*.f64 (*.f64 2 (pow.f64 x -3)) (+.f64 x x))) (log.f64 (*.f64 (+.f64 0 (pow.f64 x -2)) (*.f64 x x))))
(-.f64 (log.f64 (*.f64 (*.f64 2 (pow.f64 x -3)) 0)) (log.f64 (*.f64 (+.f64 0 (pow.f64 x -2)) 0)))
(-.f64 (log.f64 (*.f64 0 (+.f64 x x))) (log.f64 (*.f64 0 (*.f64 x x))))
(-.f64 (log.f64 (*.f64 0 (*.f64 2 (pow.f64 x -3)))) (log.f64 (*.f64 0 (+.f64 0 (pow.f64 x -2)))))
(-.f64 (log.f64 (neg.f64 (+.f64 x x))) (log.f64 (neg.f64 (*.f64 x x))))
(-.f64 (log.f64 (neg.f64 (*.f64 2 (pow.f64 x -3)))) (log.f64 (neg.f64 (+.f64 0 (pow.f64 x -2)))))
(-.f64 (log.f64 (*.f64 (/.f64 0 0) (+.f64 x x))) (*.f64 2 (log.f64 x)))
(-.f64 (log.f64 (*.f64 (/.f64 0 0) (*.f64 2 (pow.f64 x -3)))) (log.f64 (+.f64 0 (pow.f64 x -2))))
(-.f64 (log.f64 (*.f64 (+.f64 x x) (/.f64 0 0))) (*.f64 2 (log.f64 x)))
(-.f64 (log.f64 (*.f64 (*.f64 2 (pow.f64 x -3)) (/.f64 0 0))) (log.f64 (+.f64 0 (pow.f64 x -2))))
(-.f64 (log.f64 (*.f64 0 (/.f64 0 0))) (log.f64 0))
(-.f64 (log.f64 (/.f64 (+.f64 x x) x)) (log.f64 x))
(*.f64 1 (log.f64 (/.f64 0 0)))
(*.f64 (log.f64 (/.f64 0 0)) 1)
(*.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) (cbrt.f64 (pow.f64 (log.f64 (/.f64 0 0)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 0 0)) 2)) (cbrt.f64 (log.f64 (/.f64 0 0))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 0 0))) (sqrt.f64 (log.f64 (/.f64 0 0))))
(*.f64 3 (log.f64 (/.f64 0 0)))
(*.f64 2 (log.f64 (/.f64 0 0)))
(*.f64 1/2 (log.f64 (/.f64 0 0)))
(*.f64 1/3 (log.f64 (/.f64 0 0)))
(pow.f64 (log.f64 (/.f64 0 0)) 1)
(pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 3)
(pow.f64 (pow.f64 (log.f64 (/.f64 0 0)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 0 0))) 2)
(neg.f64 (log.f64 (/.f64 0 0)))
(neg.f64 (log.f64 (/.f64 (*.f64 x x) (+.f64 x x))))
(neg.f64 (log.f64 (/.f64 (+.f64 0 (pow.f64 x -2)) (*.f64 2 (pow.f64 x -3)))))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 0 0)) 2))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 0 0)) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 0 0))))
(exp.f64 (log.f64 (log.f64 (/.f64 0 0))))
(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 0 0))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 (/.f64 0 0))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (/.f64 0 0)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 (/.f64 0 0)) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (/.f64 0 0)))) 2))
(log1p.f64 (-.f64 (/.f64 0 0) 1))
(fma.f64 1 (log.f64 (/.f64 0 0)) (log.f64 (/.f64 0 0)))
(fma.f64 1 (log.f64 2) (neg.f64 (log.f64 x)))
(fma.f64 (log.f64 (/.f64 0 0)) 1 (log.f64 (/.f64 0 0)))
(fma.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) (cbrt.f64 (pow.f64 (log.f64 (/.f64 0 0)) 2)) (log.f64 (/.f64 0 0)))
(fma.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 0 0)) 2)) (cbrt.f64 (log.f64 (/.f64 0 0))) (log.f64 (/.f64 0 0)))
(fma.f64 (sqrt.f64 (log.f64 (/.f64 0 0))) (sqrt.f64 (log.f64 (/.f64 0 0))) (log.f64 (/.f64 0 0)))
(fma.f64 (*.f64 (cbrt.f64 (log.f64 2)) (cbrt.f64 (log.f64 2))) (cbrt.f64 (log.f64 2)) (neg.f64 (log.f64 x)))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (neg.f64 (log.f64 x)))

simplify45.0ms (1.7%)

Algorithm
egg-herbie
Rules
140×sub-neg
120×*-commutative
88×log-prod
82×+-commutative
78×fma-udef
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05873520
116943520
Stop Event
unsound
Counts
220 → 271
Calls
Call 1
Inputs
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 x)) (*.f64 -1/4 (pow.f64 x 2))))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 x)) (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (*.f64 -1/32 (pow.f64 x 4)))))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 x)) (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (+.f64 (*.f64 -1/32 (pow.f64 x 4)) (*.f64 -1/192 (pow.f64 x 6))))))
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 1 x)))) (*.f64 4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) (*.f64 8 (/.f64 1 (pow.f64 x 4)))))
(-.f64 (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 4))) (*.f64 64/3 (/.f64 1 (pow.f64 x 6))))))
(+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(-.f64 (+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 (/.f64 -1 x)))) (*.f64 4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 (/.f64 -1 x)))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) (*.f64 8 (/.f64 1 (pow.f64 x 4)))))
(-.f64 (+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 (/.f64 -1 x)))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 4))) (*.f64 64/3 (/.f64 1 (pow.f64 x 6))))))
(/.f64 1 x)
(*.f64 -1/2 x)
(*.f64 -1/2 x)
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 -2) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 -2) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 -2) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 -2) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 (fma.f64 x -1/2 (/.f64 0 0))) 0)
(+.f64 0 (log.f64 (fma.f64 x -1/2 (/.f64 0 0))))
(+.f64 (log.f64 (cbrt.f64 (fma.f64 x -1/2 (/.f64 0 0)))) (log.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/2 (/.f64 0 0)) 2))))
(+.f64 (log.f64 (sqrt.f64 (fma.f64 x -1/2 (/.f64 0 0)))) (log.f64 (sqrt.f64 (fma.f64 x -1/2 (/.f64 0 0)))))
(+.f64 (log.f64 (+.f64 (pow.f64 (fma.f64 x -1/2 (/.f64 1 x)) 3) (pow.f64 x -3))) (log.f64 (/.f64 1 (fma.f64 (fma.f64 x -1/2 (/.f64 1 x)) (-.f64 (fma.f64 x -1/2 (/.f64 1 x)) (/.f64 1 x)) (pow.f64 x -2)))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/2 (/.f64 0 0)) 2))) (log.f64 (cbrt.f64 (fma.f64 x -1/2 (/.f64 0 0)))))
(+.f64 (log.f64 (*.f64 (fma.f64 x -1/2 (/.f64 0 0)) (-.f64 0 (*.f64 x -1/2)))) (log.f64 (/.f64 1 (-.f64 0 (*.f64 x -1/2)))))
(-.f64 0 (log.f64 (/.f64 (fma.f64 (fma.f64 x -1/2 (/.f64 1 x)) (-.f64 (fma.f64 x -1/2 (/.f64 1 x)) (/.f64 1 x)) (pow.f64 x -2)) (+.f64 (pow.f64 (fma.f64 x -1/2 (/.f64 1 x)) 3) (pow.f64 x -3)))))
(-.f64 0 (log.f64 (/.f64 (-.f64 0 (*.f64 x -1/2)) (*.f64 (fma.f64 x -1/2 (/.f64 0 0)) (-.f64 0 (*.f64 x -1/2))))))
(-.f64 (log.f64 (+.f64 (pow.f64 (fma.f64 x -1/2 (/.f64 1 x)) 3) (pow.f64 x -3))) (log.f64 (fma.f64 (fma.f64 x -1/2 (/.f64 1 x)) (-.f64 (fma.f64 x -1/2 (/.f64 1 x)) (/.f64 1 x)) (pow.f64 x -2))))
(-.f64 (log.f64 (+.f64 (pow.f64 (fma.f64 x -1/2 (/.f64 1 x)) 3) (pow.f64 x -3))) (log.f64 (+.f64 (pow.f64 (fma.f64 x -1/2 (/.f64 1 x)) 2) (-.f64 (pow.f64 x -2) (/.f64 (fma.f64 x -1/2 (/.f64 1 x)) x)))))
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(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (/.f64 0 0)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 (/.f64 0 0)) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (/.f64 0 0)))) 2))
(log1p.f64 (-.f64 (/.f64 0 0) 1))
(fma.f64 1 (log.f64 (/.f64 0 0)) (log.f64 (/.f64 0 0)))
(fma.f64 1 (log.f64 2) (neg.f64 (log.f64 x)))
(fma.f64 (log.f64 (/.f64 0 0)) 1 (log.f64 (/.f64 0 0)))
(fma.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) (cbrt.f64 (pow.f64 (log.f64 (/.f64 0 0)) 2)) (log.f64 (/.f64 0 0)))
(fma.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 0 0)) 2)) (cbrt.f64 (log.f64 (/.f64 0 0))) (log.f64 (/.f64 0 0)))
(fma.f64 (sqrt.f64 (log.f64 (/.f64 0 0))) (sqrt.f64 (log.f64 (/.f64 0 0))) (log.f64 (/.f64 0 0)))
(fma.f64 (*.f64 (cbrt.f64 (log.f64 2)) (cbrt.f64 (log.f64 2))) (cbrt.f64 (log.f64 2)) (neg.f64 (log.f64 x)))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (neg.f64 (log.f64 x)))
Outputs
(+.f64 (log.f64 2) (*.f64 -1 (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) (log.f64 x))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 x)) (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (*.f64 -1/32 (pow.f64 x 4)))))
(-.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 -1/32 (pow.f64 x 4)) (*.f64 -1/192 (pow.f64 x 6))))))
(-.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (neg.f64 (neg.f64 (log.f64 x))) -1)
(-.f64 (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 1 x)))) (*.f64 4 (/.f64 1 (pow.f64 x 2))))
(+.f64 -1 (-.f64 (neg.f64 (neg.f64 (log.f64 x))) -1))
(-.f64 (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) (*.f64 8 (/.f64 1 (pow.f64 x 4)))))
(+.f64 -1 (-.f64 (neg.f64 (neg.f64 (log.f64 x))) -1))
(-.f64 (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 4))) (*.f64 64/3 (/.f64 1 (pow.f64 x 6))))))
(+.f64 -1 (-.f64 (neg.f64 (neg.f64 (log.f64 x))) -1))
(+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 1/2) (neg.f64 (neg.f64 (log.f64 x))))
(-.f64 (+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 (/.f64 -1 x)))) (*.f64 4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 1/2) (-.f64 (neg.f64 (neg.f64 (log.f64 x))) -1))
(-.f64 (+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 (/.f64 -1 x)))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) (*.f64 8 (/.f64 1 (pow.f64 x 4)))))
(+.f64 (log.f64 1/2) (-.f64 (neg.f64 (neg.f64 (log.f64 x))) -1))
(-.f64 (+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 (/.f64 -1 x)))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 4))) (*.f64 64/3 (/.f64 1 (pow.f64 x 6))))))
(+.f64 (log.f64 1/2) (-.f64 (neg.f64 (neg.f64 (log.f64 x))) -1))
(/.f64 1 x)
(/.f64 -1 x)
(*.f64 -1/2 x)
(neg.f64 x)
(*.f64 -1/2 x)
(neg.f64 x)
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(-.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(-.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(-.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(-.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(-.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(-.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(-.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(-.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 -2) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 -2) (neg.f64 (log.f64 x)))
(+.f64 (log.f64 -2) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 -2) (neg.f64 (log.f64 x)))
(+.f64 (log.f64 -2) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 -2) (neg.f64 (log.f64 x)))
(+.f64 (log.f64 -2) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 -2) (neg.f64 (log.f64 x)))
(+.f64 (log.f64 (fma.f64 x -1/2 (/.f64 0 0))) 0)
-1
(+.f64 0 (log.f64 (fma.f64 x -1/2 (/.f64 0 0))))
-1
(+.f64 (log.f64 (cbrt.f64 (fma.f64 x -1/2 (/.f64 0 0)))) (log.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/2 (/.f64 0 0)) 2))))
(+.f64 -1 (log.f64 (cbrt.f64 (fma.f64 x -1 -1))))
(+.f64 (log.f64 (sqrt.f64 (fma.f64 x -1/2 (/.f64 0 0)))) (log.f64 (sqrt.f64 (fma.f64 x -1/2 (/.f64 0 0)))))
(*.f64 2 (log.f64 (sqrt.f64 (fma.f64 x -1 -1))))
(+.f64 (log.f64 (+.f64 (pow.f64 (fma.f64 x -1/2 (/.f64 1 x)) 3) (pow.f64 x -3))) (log.f64 (/.f64 1 (fma.f64 (fma.f64 x -1/2 (/.f64 1 x)) (-.f64 (fma.f64 x -1/2 (/.f64 1 x)) (/.f64 1 x)) (pow.f64 x -2)))))
(-.f64 (log.f64 (+.f64 -1 (pow.f64 x -3))) (log.f64 (fma.f64 -1 (-.f64 -1 (/.f64 -1 x)) -1)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/2 (/.f64 0 0)) 2))) (log.f64 (cbrt.f64 (fma.f64 x -1/2 (/.f64 0 0)))))
(+.f64 -1 (log.f64 (cbrt.f64 (fma.f64 x -1 -1))))
(+.f64 (log.f64 (*.f64 (fma.f64 x -1/2 (/.f64 0 0)) (-.f64 0 (*.f64 x -1/2)))) (log.f64 (/.f64 1 (-.f64 0 (*.f64 x -1/2)))))
(-.f64 (+.f64 -1 (log.f64 (neg.f64 x))) (log.f64 (neg.f64 x)))
(-.f64 0 (log.f64 (/.f64 (fma.f64 (fma.f64 x -1/2 (/.f64 1 x)) (-.f64 (fma.f64 x -1/2 (/.f64 1 x)) (/.f64 1 x)) (pow.f64 x -2)) (+.f64 (pow.f64 (fma.f64 x -1/2 (/.f64 1 x)) 3) (pow.f64 x -3)))))
(neg.f64 (log.f64 (/.f64 (fma.f64 -1 (-.f64 -1 (/.f64 -1 x)) -1) (+.f64 -1 (pow.f64 x -3)))))
(-.f64 0 (log.f64 (/.f64 (-.f64 0 (*.f64 x -1/2)) (*.f64 (fma.f64 x -1/2 (/.f64 0 0)) (-.f64 0 (*.f64 x -1/2))))))
(neg.f64 (-.f64 (log.f64 (neg.f64 x)) (+.f64 -1 (log.f64 (neg.f64 x)))))
(-.f64 (log.f64 (+.f64 (pow.f64 (fma.f64 x -1/2 (/.f64 1 x)) 3) (pow.f64 x -3))) (log.f64 (fma.f64 (fma.f64 x -1/2 (/.f64 1 x)) (-.f64 (fma.f64 x -1/2 (/.f64 1 x)) (/.f64 1 x)) (pow.f64 x -2))))
(-.f64 (log.f64 (+.f64 -1 (pow.f64 x -3))) (log.f64 (fma.f64 -1 (-.f64 -1 (/.f64 -1 x)) -1)))
(-.f64 (log.f64 (+.f64 (pow.f64 (fma.f64 x -1/2 (/.f64 1 x)) 3) (pow.f64 x -3))) (log.f64 (+.f64 (pow.f64 (fma.f64 x -1/2 (/.f64 1 x)) 2) (-.f64 (pow.f64 x -2) (/.f64 (fma.f64 x -1/2 (/.f64 1 x)) x)))))
(-.f64 (log.f64 (+.f64 -1 (pow.f64 x -3))) (log.f64 (-.f64 -1 (/.f64 -1 x))))
(-.f64 (log.f64 (*.f64 (fma.f64 x -1/2 (/.f64 0 0)) (-.f64 0 (*.f64 x -1/2)))) (log.f64 (-.f64 0 (*.f64 x -1/2))))
(-.f64 (+.f64 -1 (log.f64 (neg.f64 x))) (log.f64 (neg.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (fma.f64 x -1/2 (/.f64 0 0))))) 1)
-1
(-.f64 (log.f64 (+.f64 (-.f64 (fma.f64 (*.f64 x x) 1/4 (pow.f64 x -2)) (/.f64 (*.f64 x -1/2) x)) (*.f64 x (fma.f64 (pow.f64 x 3) -1/8 (pow.f64 x -3))))) (log.f64 (*.f64 x (-.f64 (fma.f64 (*.f64 x x) 1/4 (pow.f64 x -2)) (/.f64 (*.f64 x -1/2) x)))))
(-.f64 (log.f64 (fma.f64 (fma.f64 (neg.f64 x) -1/8 (pow.f64 x -3)) x (-.f64 -1 (/.f64 (neg.f64 x) x)))) (log.f64 (*.f64 x (-.f64 -1 (/.f64 (neg.f64 x) x)))))
(-.f64 (log.f64 (+.f64 (-.f64 (*.f64 x -1/2) (/.f64 1 x)) (*.f64 x (-.f64 (*.f64 (*.f64 x x) 1/4) (pow.f64 x -2))))) (log.f64 (*.f64 x (-.f64 (*.f64 x -1/2) (/.f64 1 x)))))
(-.f64 (log.f64 (fma.f64 -1 x (-.f64 (neg.f64 x) (/.f64 -1 x)))) (log.f64 (*.f64 x (-.f64 (neg.f64 x) (/.f64 -1 x)))))
(-.f64 (log.f64 (fma.f64 -1 (-.f64 (fma.f64 (*.f64 x x) 1/4 (pow.f64 x -2)) (/.f64 (*.f64 x -1/2) x)) (*.f64 (neg.f64 x) (fma.f64 (pow.f64 x 3) -1/8 (pow.f64 x -3))))) (log.f64 (*.f64 (neg.f64 x) (-.f64 (fma.f64 (*.f64 x x) 1/4 (pow.f64 x -2)) (/.f64 (*.f64 x -1/2) x)))))
(-.f64 (log.f64 (+.f64 (-.f64 -1 (/.f64 (neg.f64 x) x)) (*.f64 (neg.f64 x) (fma.f64 (neg.f64 x) -1/8 (pow.f64 x -3))))) (log.f64 (*.f64 (neg.f64 x) (-.f64 -1 (/.f64 (neg.f64 x) x)))))
(-.f64 (log.f64 (fma.f64 -1 (-.f64 (*.f64 x -1/2) (/.f64 1 x)) (*.f64 (neg.f64 x) (-.f64 (*.f64 (*.f64 x x) 1/4) (pow.f64 x -2))))) (log.f64 (*.f64 (neg.f64 x) (-.f64 (*.f64 x -1/2) (/.f64 1 x)))))
(-.f64 (log.f64 (fma.f64 -1 x (-.f64 (neg.f64 x) (/.f64 -1 x)))) (log.f64 (*.f64 (neg.f64 x) (-.f64 (neg.f64 x) (/.f64 -1 x)))))
(-.f64 (log.f64 (fma.f64 (fma.f64 (pow.f64 x 3) -1/8 (pow.f64 x -3)) x (*.f64 (-.f64 (fma.f64 (*.f64 x x) 1/4 (pow.f64 x -2)) (/.f64 (*.f64 x -1/2) x)) 1))) (log.f64 (*.f64 (-.f64 (fma.f64 (*.f64 x x) 1/4 (pow.f64 x -2)) (/.f64 (*.f64 x -1/2) x)) x)))
(-.f64 (log.f64 (fma.f64 (fma.f64 (neg.f64 x) -1/8 (pow.f64 x -3)) x (-.f64 -1 (/.f64 (neg.f64 x) x)))) (log.f64 (*.f64 x (-.f64 -1 (/.f64 (neg.f64 x) x)))))
(-.f64 (log.f64 (fma.f64 (fma.f64 (pow.f64 x 3) -1/8 (pow.f64 x -3)) (neg.f64 x) (*.f64 (-.f64 (fma.f64 (*.f64 x x) 1/4 (pow.f64 x -2)) (/.f64 (*.f64 x -1/2) x)) -1))) (log.f64 (*.f64 (-.f64 (fma.f64 (*.f64 x x) 1/4 (pow.f64 x -2)) (/.f64 (*.f64 x -1/2) x)) (neg.f64 x))))
(-.f64 (log.f64 (fma.f64 (fma.f64 (neg.f64 x) -1/8 (pow.f64 x -3)) (neg.f64 x) (-.f64 -1 (/.f64 (neg.f64 x) x)))) (log.f64 (*.f64 (neg.f64 x) (-.f64 -1 (/.f64 (neg.f64 x) x)))))
(-.f64 (log.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (pow.f64 x -2)) x (*.f64 (-.f64 (*.f64 x -1/2) (/.f64 1 x)) 1))) (log.f64 (*.f64 (-.f64 (*.f64 x -1/2) (/.f64 1 x)) x)))
(-.f64 (log.f64 (fma.f64 -1 x (-.f64 (neg.f64 x) (/.f64 -1 x)))) (log.f64 (*.f64 x (-.f64 (neg.f64 x) (/.f64 -1 x)))))
(-.f64 (log.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (pow.f64 x -2)) (neg.f64 x) (*.f64 (-.f64 (*.f64 x -1/2) (/.f64 1 x)) -1))) (log.f64 (*.f64 (-.f64 (*.f64 x -1/2) (/.f64 1 x)) (neg.f64 x))))
(-.f64 (log.f64 (fma.f64 -1 x (-.f64 (neg.f64 x) (/.f64 -1 x)))) (log.f64 (*.f64 (neg.f64 x) (-.f64 (neg.f64 x) (/.f64 -1 x)))))
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x -1/2 (/.f64 1 x)) 3) (pow.f64 x -3)))) (log.f64 (neg.f64 (fma.f64 (fma.f64 x -1/2 (/.f64 1 x)) (-.f64 (fma.f64 x -1/2 (/.f64 1 x)) (/.f64 1 x)) (pow.f64 x -2)))))
(-.f64 (log.f64 (+.f64 -1 (neg.f64 (pow.f64 x -3)))) (log.f64 (neg.f64 (fma.f64 -1 (-.f64 -1 (/.f64 -1 x)) -1))))
(-.f64 (log.f64 (neg.f64 (*.f64 (fma.f64 x -1/2 (/.f64 0 0)) (-.f64 0 (*.f64 x -1/2))))) (log.f64 (neg.f64 (-.f64 0 (*.f64 x -1/2)))))
(-.f64 (+.f64 -1 (log.f64 (neg.f64 x))) (log.f64 (neg.f64 x)))
(-.f64 (log.f64 (-.f64 (pow.f64 (fma.f64 x -1/2 (/.f64 1 x)) 2) (pow.f64 x -2))) (log.f64 (-.f64 (fma.f64 x -1/2 (/.f64 1 x)) (/.f64 1 x))))
(-.f64 -1 (log.f64 (-.f64 -1 (/.f64 -1 x))))
(*.f64 1 (log.f64 (fma.f64 x -1/2 (/.f64 0 0))))
-1
(*.f64 (log.f64 (fma.f64 x -1/2 (/.f64 0 0))) 1)
-1
(*.f64 (cbrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 0 0)))) (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 0 0)))) 2))
-1
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 0 0)))) 2) (cbrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 0 0)))))
-1
(*.f64 (sqrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 0 0)))) (sqrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 0 0)))))
-1
(*.f64 3 (log.f64 (cbrt.f64 (fma.f64 x -1/2 (/.f64 0 0)))))
(*.f64 (log.f64 (cbrt.f64 (fma.f64 x -1 -1))) 3)
(*.f64 2 (log.f64 (sqrt.f64 (fma.f64 x -1/2 (/.f64 0 0)))))
(*.f64 2 (log.f64 (sqrt.f64 (fma.f64 x -1 -1))))
(*.f64 1/3 (log.f64 (pow.f64 (fma.f64 x -1/2 (/.f64 0 0)) 3)))
-1
(pow.f64 (log.f64 (fma.f64 x -1/2 (/.f64 0 0))) 1)
-1
(pow.f64 (cbrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 0 0)))) 3)
-1
(pow.f64 (pow.f64 (log.f64 (fma.f64 x -1/2 (/.f64 0 0))) 3) 1/3)
-1
(pow.f64 (sqrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 0 0)))) 2)
-1
(neg.f64 (log.f64 (/.f64 (fma.f64 (fma.f64 x -1/2 (/.f64 1 x)) (-.f64 (fma.f64 x -1/2 (/.f64 1 x)) (/.f64 1 x)) (pow.f64 x -2)) (+.f64 (pow.f64 (fma.f64 x -1/2 (/.f64 1 x)) 3) (pow.f64 x -3)))))
(neg.f64 (log.f64 (/.f64 (fma.f64 -1 (-.f64 -1 (/.f64 -1 x)) -1) (+.f64 -1 (pow.f64 x -3)))))
(neg.f64 (log.f64 (/.f64 (-.f64 0 (*.f64 x -1/2)) (*.f64 (fma.f64 x -1/2 (/.f64 0 0)) (-.f64 0 (*.f64 x -1/2))))))
(neg.f64 (-.f64 (log.f64 (neg.f64 x)) (+.f64 -1 (log.f64 (neg.f64 x)))))
(sqrt.f64 (pow.f64 (log.f64 (fma.f64 x -1/2 (/.f64 0 0))) 2))
(sqrt.f64 -1)
(cbrt.f64 (pow.f64 (log.f64 (fma.f64 x -1/2 (/.f64 0 0))) 3))
-1
(expm1.f64 (log1p.f64 (log.f64 (fma.f64 x -1/2 (/.f64 0 0)))))
-1
(exp.f64 (log.f64 (log.f64 (fma.f64 x -1/2 (/.f64 0 0)))))
-1
(exp.f64 (*.f64 (log.f64 (log.f64 (fma.f64 x -1/2 (/.f64 0 0)))) 1))
-1
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 (fma.f64 x -1/2 (/.f64 0 0)))) 1) 1))
-1
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 0 0))))) 3))
-1
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (fma.f64 x -1/2 (/.f64 0 0))))) 1/3))
-1
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 0 0))))) 2))
-1
(log1p.f64 (-.f64 (fma.f64 x -1/2 (/.f64 0 0)) 1))
(log1p.f64 (+.f64 (fma.f64 x -1 -1) -1))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x -1/2 (/.f64 1 x)))) 1)
-1
(-.f64 (/.f64 (*.f64 (*.f64 x x) 1/4) (-.f64 (*.f64 x -1/2) (/.f64 1 x))) (/.f64 (pow.f64 x -2) (-.f64 (*.f64 x -1/2) (/.f64 1 x))))
(/.f64 -1 (-.f64 (neg.f64 x) (/.f64 -1 x)))
(*.f64 1 (fma.f64 x -1/2 (/.f64 1 x)))
-1
(*.f64 (fma.f64 x -1/2 (/.f64 1 x)) 1)
-1
(*.f64 (cbrt.f64 (fma.f64 x -1/2 (/.f64 1 x))) (cbrt.f64 (pow.f64 (fma.f64 x -1/2 (/.f64 1 x)) 2)))
-1
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/2 (/.f64 1 x)) 2)) (cbrt.f64 (fma.f64 x -1/2 (/.f64 1 x))))
-1
(*.f64 (sqrt.f64 (fma.f64 x -1/2 (/.f64 1 x))) (sqrt.f64 (fma.f64 x -1/2 (/.f64 1 x))))
-1
(*.f64 (fma.f64 (pow.f64 x 3) -1/8 (pow.f64 x -3)) (/.f64 1 (-.f64 (fma.f64 (*.f64 x x) 1/4 (pow.f64 x -2)) (/.f64 (*.f64 x -1/2) x))))
(*.f64 (fma.f64 (neg.f64 x) -1/8 (pow.f64 x -3)) (/.f64 -1 (-.f64 -1 (/.f64 (neg.f64 x) x))))
(*.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (pow.f64 x -2)) (/.f64 1 (-.f64 (*.f64 x -1/2) (/.f64 1 x))))
(/.f64 -1 (-.f64 (neg.f64 x) (/.f64 -1 x)))
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(*.f64 (fma.f64 (neg.f64 x) -1/8 (pow.f64 x -3)) (/.f64 -1 (-.f64 -1 (/.f64 (neg.f64 x) x))))
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eval86.0ms (3.2%)

Compiler

Compiled 3968 to 2974 computations (25.1% saved)

prune47.0ms (1.8%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New2692271
Fresh000
Picked022
Done011
Total2695274
Accuracy
100.0%
Counts
274 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
31.4%
(neg.f64 (log.f64 x))
100.0%
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
99.5%
(log.f64 (+.f64 (/.f64 1 x) (/.f64 1 x)))
99.7%
(log.f64 (+.f64 (/.f64 1 x) (+.f64 (*.f64 -1/2 x) (/.f64 1 x))))
1.6%
-1
31.4%
(neg.f64 (log.f64 x))
100.0%
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
99.5%
(log.f64 (+.f64 (/.f64 1 x) (/.f64 1 x)))
99.7%
(log.f64 (+.f64 (/.f64 1 x) (+.f64 (*.f64 -1/2 x) (/.f64 1 x))))
1.6%
-1
Compiler

Compiled 84 to 64 computations (23.8% saved)

localize21.0ms (0.8%)

Compiler

Compiled 8 to 4 computations (50% saved)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune4.0ms (0.1%)

Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New000
Fresh011
Picked011
Done033
Total055
Accuracy
100.0%
Counts
5 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
31.4%
(neg.f64 (log.f64 x))
100.0%
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
99.5%
(log.f64 (+.f64 (/.f64 1 x) (/.f64 1 x)))
99.7%
(log.f64 (+.f64 (/.f64 1 x) (+.f64 (*.f64 -1/2 x) (/.f64 1 x))))
1.6%
-1
31.4%
(neg.f64 (log.f64 x))
100.0%
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
99.5%
(log.f64 (+.f64 (/.f64 1 x) (/.f64 1 x)))
99.7%
(log.f64 (+.f64 (/.f64 1 x) (+.f64 (*.f64 -1/2 x) (/.f64 1 x))))
1.6%
-1
Compiler

Compiled 84 to 64 computations (23.8% saved)

localize0.0ms (0%)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune3.0ms (0.1%)

Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done044
Total055
Accuracy
100.0%
Counts
5 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
31.4%
(neg.f64 (log.f64 x))
100.0%
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
99.5%
(log.f64 (+.f64 (/.f64 1 x) (/.f64 1 x)))
99.7%
(log.f64 (+.f64 (/.f64 1 x) (+.f64 (*.f64 -1/2 x) (/.f64 1 x))))
1.6%
-1
Compiler

Compiled 80 to 60 computations (25% saved)

regimes15.0ms (0.6%)

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

3 calls:

5.0ms
(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
5.0ms
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
5.0ms
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 67 to 48 computations (28.4% saved)

regimes5.0ms (0.2%)

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

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
99.7%1x
Compiler

Compiled 27 to 20 computations (25.9% saved)

regimes4.0ms (0.2%)

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

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
99.5%1x
Compiler

Compiled 15 to 11 computations (26.7% saved)

regimes4.0ms (0.1%)

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

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
31.4%1x
Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes3.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
-1
Outputs
-1
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
1.6%1x
Compiler

Compiled 4 to 3 computations (25% saved)

simplify7.0ms (0.3%)

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

Useful iterations: 0 (0.0ms)

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

Compiled 42 to 32 computations (23.8% saved)

soundness288.0ms (10.8%)

Rules
1224×fma-def
1224×fma-def
1206×log-prod
1206×log-prod
602×pow-exp
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01363
128249
2411045
05873520
116943520
01363
128249
2411045
05873520
116943520
Stop Event
unsound
node limit
unsound
node limit
Compiler

Compiled 404 to 317 computations (21.5% saved)

end0.0ms (0%)

preprocess47.0ms (1.8%)

Compiler

Compiled 104 to 76 computations (26.9% saved)

Profiling

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