Jmat.Real.lambertw, estimator

Time bar (total: 2.8s)

analyze2.0ms (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%50%0%0%50%0%2
50%25%25%0%0%50%0%3
66.7%25%12.5%0%0%62.5%0%4
80%25%6.2%0%0%68.7%0%5
88.9%25%3.1%0%0%71.8%0%6
94.1%25%1.6%0%0%73.4%0%7
97%25%0.8%0%0%74.2%0%8
98.5%25%0.4%0%0%74.6%0%9
99.2%25%0.2%0%0%74.8%0%10
99.6%25%0.1%0%0%74.9%0%11
99.8%25%0%0%0%74.9%0%12
Compiler

Compiled 8 to 5 computations (37.5% saved)

sample1.2s (41.9%)

Results
1.2s8256×body256valid
1.0msbody256invalid
Bogosity

preprocess375.0ms (13.3%)

Algorithm
egg-herbie
Rules
3986×fma-def
1884×associate-+r+
1594×distribute-rgt-in
1438×distribute-lft-in
916×unsub-neg
Problems
256×No Errors
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
014120
124120
248116
3107116
4243116
5489116
6661116
7796116
8953116
91802116
103121116
114190116
124452116
134468116
144484116
154484116
165842116
176210116
186814116
197496116
207676116
217772116
227814116
237842116
247882116
257934116
Stop Event
node limit
Calls
Call 1
Inputs
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(-.f64 (log.f64 (neg.f64 x)) (log.f64 (log.f64 (neg.f64 x))))
(neg.f64 (-.f64 (log.f64 (neg.f64 x)) (log.f64 (log.f64 (neg.f64 x)))))
Outputs
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(-.f64 (log.f64 (neg.f64 x)) (log.f64 (log.f64 (neg.f64 x))))
(neg.f64 (-.f64 (log.f64 (neg.f64 x)) (log.f64 (log.f64 (neg.f64 x)))))
(-.f64 (log.f64 (log.f64 (neg.f64 x))) (log.f64 (neg.f64 x)))
Compiler

Compiled 21 to 9 computations (57.1% saved)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
99.5%
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
Compiler

Compiled 14 to 8 computations (42.9% saved)

localize32.0ms (1.1%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
99.9%
(log.f64 (log.f64 x))
99.5%
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
Compiler

Compiled 14 to 5 computations (64.3% saved)

series185.0ms (6.6%)

Counts
2 → 16
Calls

6 calls:

TimeVariablePointExpression
111.0ms
x
@0
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
50.0ms
x
@-inf
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
24.0ms
x
@inf
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
0.0ms
x
@-inf
(log.f64 (log.f64 x))
0.0ms
x
@inf
(log.f64 (log.f64 x))

rewrite203.0ms (7.2%)

Algorithm
batch-egg-rewrite
Rules
718×prod-diff
624×unpow-prod-down
465×log1p-expm1-u
465×expm1-log1p-u
432×log-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0933
19133
2122733
Stop Event
node limit
Counts
2 → 140
Calls
Call 1
Inputs
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(log.f64 (log.f64 x))
Outputs
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))
(+.f64 (log.f64 x) (*.f64 (neg.f64 (log.f64 (log.f64 x))) 1))
(+.f64 (log.f64 (/.f64 x (log.f64 x))) (fma.f64 (neg.f64 (log.f64 (log.f64 x))) 1 (log.f64 (log.f64 x))))
(+.f64 (log.f64 (/.f64 x (log.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (log.f64 x)))) (pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) 2) (log.f64 (log.f64 x))))
(+.f64 (log.f64 (/.f64 x (log.f64 x))) (+.f64 (neg.f64 (log.f64 (log.f64 x))) (log.f64 (log.f64 x))))
(+.f64 (log.f64 (/.f64 x (log.f64 x))) (fma.f64 -1 (log.f64 (log.f64 x)) (log.f64 (log.f64 x))))
(+.f64 (log.f64 (/.f64 x (log.f64 x))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) 2)) (cbrt.f64 (log.f64 (log.f64 x))) (log.f64 (log.f64 x))))
(+.f64 (neg.f64 (log.f64 (log.f64 x))) (log.f64 x))
(+.f64 0 (log.f64 (/.f64 x (log.f64 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 x (log.f64 x))) 2)) (log.f64 (cbrt.f64 (/.f64 x (log.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 x (log.f64 x)))) (log.f64 (sqrt.f64 (/.f64 x (log.f64 x)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (log.f64 x)) -2)) (log.f64 (/.f64 x (cbrt.f64 (log.f64 x)))))
(+.f64 (log.f64 (pow.f64 (log.f64 x) -1/2)) (log.f64 (/.f64 x (sqrt.f64 (log.f64 x)))))
(+.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1)) (log.f64 (/.f64 (cbrt.f64 x) (log.f64 x))))
(+.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (log.f64 x)) 2))) (log.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (log.f64 x)))))
(+.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (log.f64 x)))) (log.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (log.f64 x)))))
(+.f64 (log.f64 (/.f64 (sqrt.f64 x) 1)) (log.f64 (/.f64 (sqrt.f64 x) (log.f64 x))))
(+.f64 (log.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (log.f64 x)) 2))) (log.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (log.f64 x)))))
(+.f64 (log.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (log.f64 x)))) (log.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (log.f64 x)))))
(*.f64 (log.f64 (/.f64 x (log.f64 x))) 1)
(*.f64 (log.f64 (/.f64 x (log.f64 x))) (log.f64 (E.f64)))
(*.f64 1 (log.f64 (/.f64 x (log.f64 x))))
(*.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2) (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))) (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))))
(*.f64 (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (log.f64 x)) 3)) (/.f64 1 (fma.f64 (log.f64 (log.f64 x)) (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 x) 2))))
(*.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 (log.f64 x)) 2)) (/.f64 1 (log.f64 (*.f64 x (log.f64 x)))))
(*.f64 (+.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 (log.f64 x)))) (-.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 (log.f64 x)))))
(*.f64 (pow.f64 1 1/3) (log.f64 (/.f64 x (log.f64 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x))))) 2) 3) (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x))))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 (/.f64 x (log.f64 x))) (cbrt.f64 (log.f64 (/.f64 x (log.f64 x))))) 2) 1/3) (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x))))))
(*.f64 (pow.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))))
(/.f64 1 (/.f64 (fma.f64 (log.f64 (log.f64 x)) (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 x) 2)) (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (log.f64 x)) 3))))
(/.f64 1 (/.f64 (log.f64 (*.f64 x (log.f64 x))) (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 (log.f64 x)) 2))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (log.f64 x)) 3)) (fma.f64 (log.f64 (log.f64 x)) (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 x) 2)))
(/.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 (log.f64 x)) 2)) (log.f64 (*.f64 x (log.f64 x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (log.f64 x)) 3))) (neg.f64 (fma.f64 (log.f64 (log.f64 x)) (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 x) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 (log.f64 x)) 2))) (neg.f64 (log.f64 (*.f64 x (log.f64 x)))))
(/.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (neg.f64 (log.f64 (log.f64 x))) 3)) (+.f64 (pow.f64 (log.f64 x) 2) (-.f64 (pow.f64 (neg.f64 (log.f64 (log.f64 x))) 2) (*.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (neg.f64 (log.f64 (log.f64 x))) 2)) (log.f64 (/.f64 x (/.f64 1 (log.f64 x)))))
(pow.f64 (log.f64 (/.f64 x (log.f64 x))) 1)
(pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 3)
(pow.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 2) 1/2)
(pow.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2)
(pow.f64 (E.f64) (log.f64 (log.f64 (/.f64 x (log.f64 x)))))
(pow.f64 (/.f64 (fma.f64 (log.f64 (log.f64 x)) (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 x) 2)) (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (log.f64 x)) 3))) -1)
(pow.f64 (/.f64 (log.f64 (*.f64 x (log.f64 x))) (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 (log.f64 x)) 2))) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 (/.f64 x (log.f64 x))))) 2)) (cbrt.f64 (log.f64 (log.f64 (/.f64 x (log.f64 x))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 (/.f64 x (log.f64 x)))))) (sqrt.f64 (log.f64 (log.f64 (/.f64 x (log.f64 x))))))
(neg.f64 (log.f64 (/.f64 (log.f64 x) x)))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 2))
(log.f64 (/.f64 x (log.f64 x)))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 x (log.f64 x)))))
(exp.f64 (log.f64 (log.f64 (/.f64 x (log.f64 x)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x))))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))) 2))
(log1p.f64 (-.f64 (/.f64 x (log.f64 x)) 1))
(fma.f64 (log.f64 x) 1 (neg.f64 (log.f64 (log.f64 x))))
(fma.f64 (log.f64 x) 1 (*.f64 (neg.f64 (log.f64 (log.f64 x))) 1))
(fma.f64 (log.f64 (/.f64 x (log.f64 x))) 1 (fma.f64 (neg.f64 (log.f64 (log.f64 x))) 1 (log.f64 (log.f64 x))))
(fma.f64 (log.f64 (/.f64 x (log.f64 x))) 1 (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (log.f64 x)))) (pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) 2) (log.f64 (log.f64 x))))
(fma.f64 (log.f64 (/.f64 x (log.f64 x))) 1 (+.f64 (neg.f64 (log.f64 (log.f64 x))) (log.f64 (log.f64 x))))
(fma.f64 1 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))
(fma.f64 1 (log.f64 x) (*.f64 (neg.f64 (log.f64 (log.f64 x))) 1))
(fma.f64 1 (log.f64 (/.f64 x (log.f64 x))) (fma.f64 (neg.f64 (log.f64 (log.f64 x))) 1 (log.f64 (log.f64 x))))
(fma.f64 1 (log.f64 (/.f64 x (log.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (log.f64 x)))) (pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) 2) (log.f64 (log.f64 x))))
(fma.f64 1 (log.f64 (/.f64 x (log.f64 x))) (+.f64 (neg.f64 (log.f64 (log.f64 x))) (log.f64 (log.f64 x))))
(fma.f64 1 (neg.f64 (log.f64 (log.f64 x))) (log.f64 x))
(fma.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (neg.f64 (log.f64 (log.f64 x))))
(fma.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (*.f64 (neg.f64 (log.f64 (log.f64 x))) 1))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (cbrt.f64 (log.f64 x)) (neg.f64 (log.f64 (log.f64 x))))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (cbrt.f64 (log.f64 x)) (*.f64 (neg.f64 (log.f64 (log.f64 x))) 1))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) 2) (neg.f64 (cbrt.f64 (log.f64 (log.f64 x)))) (log.f64 x))
(fma.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2) (fma.f64 (neg.f64 (log.f64 (log.f64 x))) 1 (log.f64 (log.f64 x))))
(fma.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (log.f64 x)))) (pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) 2) (log.f64 (log.f64 x))))
(fma.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2) (+.f64 (neg.f64 (log.f64 (log.f64 x))) (log.f64 (log.f64 x))))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2) (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) (fma.f64 (neg.f64 (log.f64 (log.f64 x))) 1 (log.f64 (log.f64 x))))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2) (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (log.f64 x)))) (pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) 2) (log.f64 (log.f64 x))))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2) (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) (+.f64 (neg.f64 (log.f64 (log.f64 x))) (log.f64 (log.f64 x))))
(fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) (neg.f64 (log.f64 (log.f64 x))))
(fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) (*.f64 (neg.f64 (log.f64 (log.f64 x))) 1))
(fma.f64 (sqrt.f64 (log.f64 (log.f64 x))) (neg.f64 (sqrt.f64 (log.f64 (log.f64 x)))) (log.f64 x))
(fma.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))) (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))) (fma.f64 (neg.f64 (log.f64 (log.f64 x))) 1 (log.f64 (log.f64 x))))
(fma.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))) (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (log.f64 x)))) (pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) 2) (log.f64 (log.f64 x))))
(fma.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))) (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))) (+.f64 (neg.f64 (log.f64 (log.f64 x))) (log.f64 (log.f64 x))))
(fma.f64 (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (log.f64 x)) 3)) (/.f64 1 (fma.f64 (log.f64 (log.f64 x)) (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 x) 2))) (fma.f64 (neg.f64 (log.f64 (log.f64 x))) 1 (log.f64 (log.f64 x))))
(fma.f64 (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (log.f64 x)) 3)) (/.f64 1 (fma.f64 (log.f64 (log.f64 x)) (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 x) 2))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (log.f64 x)))) (pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) 2) (log.f64 (log.f64 x))))
(fma.f64 (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (log.f64 x)) 3)) (/.f64 1 (fma.f64 (log.f64 (log.f64 x)) (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 x) 2))) (+.f64 (neg.f64 (log.f64 (log.f64 x))) (log.f64 (log.f64 x))))
(fma.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 (log.f64 x)) 2)) (/.f64 1 (log.f64 (*.f64 x (log.f64 x)))) (fma.f64 (neg.f64 (log.f64 (log.f64 x))) 1 (log.f64 (log.f64 x))))
(fma.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 (log.f64 x)) 2)) (/.f64 1 (log.f64 (*.f64 x (log.f64 x)))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (log.f64 x)))) (pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) 2) (log.f64 (log.f64 x))))
(fma.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 (log.f64 x)) 2)) (/.f64 1 (log.f64 (*.f64 x (log.f64 x)))) (+.f64 (neg.f64 (log.f64 (log.f64 x))) (log.f64 (log.f64 x))))
(fma.f64 (neg.f64 (sqrt.f64 (log.f64 (log.f64 x)))) (sqrt.f64 (log.f64 (log.f64 x))) (log.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (log.f64 x)))) 2) (cbrt.f64 (neg.f64 (log.f64 (log.f64 x)))) (log.f64 x))
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 (log.f64 x)))) (sqrt.f64 (neg.f64 (log.f64 (log.f64 x)))) (log.f64 x))
(fma.f64 -1 (log.f64 (log.f64 x)) (log.f64 x))
(fma.f64 (+.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 (log.f64 x)))) (-.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 (log.f64 x)))) (fma.f64 (neg.f64 (log.f64 (log.f64 x))) 1 (log.f64 (log.f64 x))))
(fma.f64 (+.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 (log.f64 x)))) (-.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 (log.f64 x)))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (log.f64 x)))) (pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) 2) (log.f64 (log.f64 x))))
(fma.f64 (+.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 (log.f64 x)))) (-.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 (log.f64 x)))) (+.f64 (neg.f64 (log.f64 (log.f64 x))) (log.f64 (log.f64 x))))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) 2)) (cbrt.f64 (log.f64 (log.f64 x))) (log.f64 x))
(+.f64 (log.f64 (log.f64 x)) 0)
(+.f64 0 (log.f64 (log.f64 x)))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (log.f64 x)))) (log.f64 (cbrt.f64 (log.f64 x))))
(+.f64 (log.f64 (cbrt.f64 (log.f64 x))) (*.f64 2 (log.f64 (cbrt.f64 (log.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (log.f64 x))) (log.f64 (sqrt.f64 (log.f64 x))))
(-.f64 (+.f64 1 (log.f64 (log.f64 x))) 1)
(*.f64 (log.f64 (log.f64 x)) 1)
(*.f64 (log.f64 (log.f64 x)) (log.f64 (E.f64)))
(*.f64 1 (log.f64 (log.f64 x)))
(*.f64 (cbrt.f64 (log.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) 2) (cbrt.f64 (log.f64 (log.f64 x))))
(*.f64 (sqrt.f64 (log.f64 (log.f64 x))) (sqrt.f64 (log.f64 (log.f64 x))))
(*.f64 3 (log.f64 (cbrt.f64 (log.f64 x))))
(*.f64 2 (log.f64 (sqrt.f64 (log.f64 x))))
(*.f64 1/3 (*.f64 (log.f64 (log.f64 x)) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (log.f64 x)))) 2) 3) (cbrt.f64 (log.f64 (log.f64 x))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (log.f64 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (log.f64 x)))) 3))
(*.f64 (pow.f64 1 1/3) (log.f64 (log.f64 x)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 (log.f64 x)) (cbrt.f64 (log.f64 (log.f64 x)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (log.f64 (log.f64 x)))))
(*.f64 (pow.f64 (pow.f64 (log.f64 (log.f64 x)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (log.f64 (log.f64 x)))))
(pow.f64 (log.f64 (log.f64 x)) 1)
(pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) 3)
(pow.f64 (pow.f64 (log.f64 (log.f64 x)) 2) 1/2)
(pow.f64 (pow.f64 (log.f64 (log.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (log.f64 x))) 2)
(pow.f64 (E.f64) (log.f64 (log.f64 (log.f64 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 (log.f64 x)))) 2)) (cbrt.f64 (log.f64 (log.f64 (log.f64 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 (log.f64 x))))) (sqrt.f64 (log.f64 (log.f64 (log.f64 x)))))
(sqrt.f64 (pow.f64 (log.f64 (log.f64 x)) 2))
(cbrt.f64 (pow.f64 (log.f64 (log.f64 x)) 3))
(expm1.f64 (log1p.f64 (log.f64 (log.f64 x))))
(exp.f64 (log.f64 (log.f64 (log.f64 x))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (log.f64 x)))) 3))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 (log.f64 x))) 3) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (log.f64 x)))) 2))
(log1p.f64 (-.f64 (log.f64 x) 1))

simplify89.0ms (3.1%)

Algorithm
egg-herbie
Rules
1016×unswap-sqr
896×fma-neg
788×distribute-lft-in
738×distribute-rgt-in
706×cancel-sign-sub-inv
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03266810
17354809
222244763
Stop Event
node limit
Counts
156 → 177
Calls
Call 1
Inputs
(-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (*.f64 -1 (log.f64 (/.f64 1 x)))))
(-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (*.f64 -1 (log.f64 (/.f64 1 x)))))
(-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (*.f64 -1 (log.f64 (/.f64 1 x)))))
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(fma.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))) (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))) (fma.f64 (neg.f64 (log.f64 (log.f64 x))) 1 (log.f64 (log.f64 x))))
(fma.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))) (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (log.f64 x)))) (pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) 2) (log.f64 (log.f64 x))))
(fma.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))) (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))) (+.f64 (neg.f64 (log.f64 (log.f64 x))) (log.f64 (log.f64 x))))
(fma.f64 (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (log.f64 x)) 3)) (/.f64 1 (fma.f64 (log.f64 (log.f64 x)) (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 x) 2))) (fma.f64 (neg.f64 (log.f64 (log.f64 x))) 1 (log.f64 (log.f64 x))))
(fma.f64 (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (log.f64 x)) 3)) (/.f64 1 (fma.f64 (log.f64 (log.f64 x)) (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 x) 2))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (log.f64 x)))) (pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) 2) (log.f64 (log.f64 x))))
(fma.f64 (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (log.f64 x)) 3)) (/.f64 1 (fma.f64 (log.f64 (log.f64 x)) (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 x) 2))) (+.f64 (neg.f64 (log.f64 (log.f64 x))) (log.f64 (log.f64 x))))
(fma.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 (log.f64 x)) 2)) (/.f64 1 (log.f64 (*.f64 x (log.f64 x)))) (fma.f64 (neg.f64 (log.f64 (log.f64 x))) 1 (log.f64 (log.f64 x))))
(fma.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 (log.f64 x)) 2)) (/.f64 1 (log.f64 (*.f64 x (log.f64 x)))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (log.f64 x)))) (pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) 2) (log.f64 (log.f64 x))))
(fma.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 (log.f64 x)) 2)) (/.f64 1 (log.f64 (*.f64 x (log.f64 x)))) (+.f64 (neg.f64 (log.f64 (log.f64 x))) (log.f64 (log.f64 x))))
(fma.f64 (neg.f64 (sqrt.f64 (log.f64 (log.f64 x)))) (sqrt.f64 (log.f64 (log.f64 x))) (log.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (log.f64 x)))) 2) (cbrt.f64 (neg.f64 (log.f64 (log.f64 x)))) (log.f64 x))
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 (log.f64 x)))) (sqrt.f64 (neg.f64 (log.f64 (log.f64 x)))) (log.f64 x))
(fma.f64 -1 (log.f64 (log.f64 x)) (log.f64 x))
(fma.f64 (+.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 (log.f64 x)))) (-.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 (log.f64 x)))) (fma.f64 (neg.f64 (log.f64 (log.f64 x))) 1 (log.f64 (log.f64 x))))
(fma.f64 (+.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 (log.f64 x)))) (-.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 (log.f64 x)))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (log.f64 x)))) (pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) 2) (log.f64 (log.f64 x))))
(fma.f64 (+.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 (log.f64 x)))) (-.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 (log.f64 x)))) (+.f64 (neg.f64 (log.f64 (log.f64 x))) (log.f64 (log.f64 x))))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) 2)) (cbrt.f64 (log.f64 (log.f64 x))) (log.f64 x))
(+.f64 (log.f64 (log.f64 x)) 0)
(+.f64 0 (log.f64 (log.f64 x)))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (log.f64 x)))) (log.f64 (cbrt.f64 (log.f64 x))))
(+.f64 (log.f64 (cbrt.f64 (log.f64 x))) (*.f64 2 (log.f64 (cbrt.f64 (log.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (log.f64 x))) (log.f64 (sqrt.f64 (log.f64 x))))
(-.f64 (+.f64 1 (log.f64 (log.f64 x))) 1)
(*.f64 (log.f64 (log.f64 x)) 1)
(*.f64 (log.f64 (log.f64 x)) (log.f64 (E.f64)))
(*.f64 1 (log.f64 (log.f64 x)))
(*.f64 (cbrt.f64 (log.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) 2) (cbrt.f64 (log.f64 (log.f64 x))))
(*.f64 (sqrt.f64 (log.f64 (log.f64 x))) (sqrt.f64 (log.f64 (log.f64 x))))
(*.f64 3 (log.f64 (cbrt.f64 (log.f64 x))))
(*.f64 2 (log.f64 (sqrt.f64 (log.f64 x))))
(*.f64 1/3 (*.f64 (log.f64 (log.f64 x)) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (log.f64 x)))) 2) 3) (cbrt.f64 (log.f64 (log.f64 x))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (log.f64 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (log.f64 x)))) 3))
(*.f64 (pow.f64 1 1/3) (log.f64 (log.f64 x)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 (log.f64 x)) (cbrt.f64 (log.f64 (log.f64 x)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (log.f64 (log.f64 x)))))
(*.f64 (pow.f64 (pow.f64 (log.f64 (log.f64 x)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (log.f64 (log.f64 x)))))
(pow.f64 (log.f64 (log.f64 x)) 1)
(pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) 3)
(pow.f64 (pow.f64 (log.f64 (log.f64 x)) 2) 1/2)
(pow.f64 (pow.f64 (log.f64 (log.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (log.f64 x))) 2)
(pow.f64 (E.f64) (log.f64 (log.f64 (log.f64 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 (log.f64 x)))) 2)) (cbrt.f64 (log.f64 (log.f64 (log.f64 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 (log.f64 x))))) (sqrt.f64 (log.f64 (log.f64 (log.f64 x)))))
(sqrt.f64 (pow.f64 (log.f64 (log.f64 x)) 2))
(cbrt.f64 (pow.f64 (log.f64 (log.f64 x)) 3))
(expm1.f64 (log1p.f64 (log.f64 (log.f64 x))))
(exp.f64 (log.f64 (log.f64 (log.f64 x))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (log.f64 x)))) 3))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 (log.f64 x))) 3) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (log.f64 x)))) 2))
(log1p.f64 (-.f64 (log.f64 x) 1))
Outputs
(-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (*.f64 -1 (log.f64 (/.f64 1 x)))))
(-.f64 (neg.f64 (neg.f64 (log.f64 x))) (log.f64 (neg.f64 (neg.f64 (log.f64 x)))))
(log.f64 (/.f64 x (log.f64 x)))
(-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (*.f64 -1 (log.f64 (/.f64 1 x)))))
(-.f64 (neg.f64 (neg.f64 (log.f64 x))) (log.f64 (neg.f64 (neg.f64 (log.f64 x)))))
(log.f64 (/.f64 x (log.f64 x)))
(-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (*.f64 -1 (log.f64 (/.f64 1 x)))))
(-.f64 (neg.f64 (neg.f64 (log.f64 x))) (log.f64 (neg.f64 (neg.f64 (log.f64 x)))))
(log.f64 (/.f64 x (log.f64 x)))
(-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (*.f64 -1 (log.f64 (/.f64 1 x)))))
(-.f64 (neg.f64 (neg.f64 (log.f64 x))) (log.f64 (neg.f64 (neg.f64 (log.f64 x)))))
(log.f64 (/.f64 x (log.f64 x)))
(-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) (log.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))))
(-.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))) (log.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))))
(-.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (log.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))
(-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) (log.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))))
(-.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))) (log.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))))
(-.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (log.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))
(-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) (log.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))))
(-.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))) (log.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))))
(-.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (log.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))
(-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) (log.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))))
(-.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))) (log.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))))
(-.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (log.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))
(log.f64 (*.f64 -1 (log.f64 (/.f64 1 x))))
(log.f64 (neg.f64 (neg.f64 (log.f64 x))))
(log.f64 (log.f64 x))
(log.f64 (*.f64 -1 (log.f64 (/.f64 1 x))))
(log.f64 (neg.f64 (neg.f64 (log.f64 x))))
(log.f64 (log.f64 x))
(log.f64 (*.f64 -1 (log.f64 (/.f64 1 x))))
(log.f64 (neg.f64 (neg.f64 (log.f64 x))))
(log.f64 (log.f64 x))
(log.f64 (*.f64 -1 (log.f64 (/.f64 1 x))))
(log.f64 (neg.f64 (neg.f64 (log.f64 x))))
(log.f64 (log.f64 x))
(log.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))
(log.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))))
(log.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(log.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))
(log.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))))
(log.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(log.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))
(log.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))))
(log.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(log.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))
(log.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))))
(log.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))
(-.f64 (neg.f64 (neg.f64 (log.f64 x))) (log.f64 (neg.f64 (neg.f64 (log.f64 x)))))
(log.f64 (/.f64 x (log.f64 x)))
(+.f64 (log.f64 x) (*.f64 (neg.f64 (log.f64 (log.f64 x))) 1))
(-.f64 (neg.f64 (neg.f64 (log.f64 x))) (log.f64 (neg.f64 (neg.f64 (log.f64 x)))))
(log.f64 (/.f64 x (log.f64 x)))
(+.f64 (log.f64 (/.f64 x (log.f64 x))) (fma.f64 (neg.f64 (log.f64 (log.f64 x))) 1 (log.f64 (log.f64 x))))
(-.f64 (neg.f64 (neg.f64 (log.f64 x))) (log.f64 (neg.f64 (neg.f64 (log.f64 x)))))
(log.f64 (/.f64 x (log.f64 x)))
(+.f64 (log.f64 (/.f64 x (log.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (log.f64 x)))) (pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) 2) (log.f64 (log.f64 x))))
(-.f64 (neg.f64 (neg.f64 (log.f64 x))) (log.f64 (neg.f64 (neg.f64 (log.f64 x)))))
(log.f64 (/.f64 x (log.f64 x)))
(+.f64 (log.f64 (/.f64 x (log.f64 x))) (+.f64 (neg.f64 (log.f64 (log.f64 x))) (log.f64 (log.f64 x))))
(-.f64 (neg.f64 (neg.f64 (log.f64 x))) (log.f64 (neg.f64 (neg.f64 (log.f64 x)))))
(log.f64 (/.f64 x (log.f64 x)))
(+.f64 (log.f64 (/.f64 x (log.f64 x))) (fma.f64 -1 (log.f64 (log.f64 x)) (log.f64 (log.f64 x))))
(-.f64 (neg.f64 (neg.f64 (log.f64 x))) (log.f64 (neg.f64 (neg.f64 (log.f64 x)))))
(log.f64 (/.f64 x (log.f64 x)))
(+.f64 (log.f64 (/.f64 x (log.f64 x))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) 2)) (cbrt.f64 (log.f64 (log.f64 x))) (log.f64 (log.f64 x))))
(-.f64 (neg.f64 (neg.f64 (log.f64 x))) (log.f64 (neg.f64 (neg.f64 (log.f64 x)))))
(log.f64 (/.f64 x (log.f64 x)))
(+.f64 (neg.f64 (log.f64 (log.f64 x))) (log.f64 x))
(-.f64 (neg.f64 (neg.f64 (log.f64 x))) (log.f64 (neg.f64 (neg.f64 (log.f64 x)))))
(log.f64 (/.f64 x (log.f64 x)))
(+.f64 0 (log.f64 (/.f64 x (log.f64 x))))
(-.f64 (neg.f64 (neg.f64 (log.f64 x))) (log.f64 (neg.f64 (neg.f64 (log.f64 x)))))
(log.f64 (/.f64 x (log.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 x (log.f64 x))) 2)) (log.f64 (cbrt.f64 (/.f64 x (log.f64 x)))))
(*.f64 3 (log.f64 (cbrt.f64 (/.f64 x (log.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 x (log.f64 x)))) (log.f64 (sqrt.f64 (/.f64 x (log.f64 x)))))
(*.f64 2 (log.f64 (sqrt.f64 (/.f64 x (log.f64 x)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (log.f64 x)) -2)) (log.f64 (/.f64 x (cbrt.f64 (log.f64 x)))))
(-.f64 (neg.f64 (neg.f64 (log.f64 x))) (log.f64 (neg.f64 (neg.f64 (log.f64 x)))))
(log.f64 (/.f64 x (log.f64 x)))
(+.f64 (log.f64 (pow.f64 (log.f64 x) -1/2)) (log.f64 (/.f64 x (sqrt.f64 (log.f64 x)))))
(+.f64 (*.f64 -1/2 (log.f64 (log.f64 x))) (log.f64 (/.f64 x (sqrt.f64 (log.f64 x)))))
(fma.f64 -1/2 (log.f64 (log.f64 x)) (log.f64 (/.f64 x (sqrt.f64 (log.f64 x)))))
(+.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1)) (log.f64 (/.f64 (cbrt.f64 x) (log.f64 x))))
(+.f64 (log.f64 (/.f64 (cbrt.f64 x) (log.f64 x))) (log.f64 (pow.f64 (cbrt.f64 x) 2)))
(+.f64 (log.f64 (/.f64 (cbrt.f64 x) (log.f64 x))) (*.f64 2 (log.f64 (cbrt.f64 x))))
(-.f64 (*.f64 3 (log.f64 (cbrt.f64 x))) (log.f64 (log.f64 x)))
(+.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (log.f64 x)) 2))) (log.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (log.f64 x)))))
(+.f64 (*.f64 2 (log.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (log.f64 x))))) (log.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (log.f64 x)))))
(+.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (log.f64 x)))) (log.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (log.f64 x)))))
(+.f64 (log.f64 (/.f64 (sqrt.f64 x) 1)) (log.f64 (/.f64 (sqrt.f64 x) (log.f64 x))))
(+.f64 (log.f64 (/.f64 (sqrt.f64 x) (log.f64 x))) (log.f64 (sqrt.f64 x)))
(-.f64 (*.f64 2 (log.f64 (sqrt.f64 x))) (log.f64 (log.f64 x)))
(+.f64 (log.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (log.f64 x)) 2))) (log.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (log.f64 x)))))
(+.f64 (log.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (log.f64 x)))) (log.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (log.f64 x)))))
(*.f64 2 (log.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (log.f64 x)))))
(*.f64 (log.f64 (/.f64 x (log.f64 x))) 1)
(-.f64 (neg.f64 (neg.f64 (log.f64 x))) (log.f64 (neg.f64 (neg.f64 (log.f64 x)))))
(log.f64 (/.f64 x (log.f64 x)))
(*.f64 (log.f64 (/.f64 x (log.f64 x))) (log.f64 (E.f64)))
(-.f64 (neg.f64 (neg.f64 (log.f64 x))) (log.f64 (neg.f64 (neg.f64 (log.f64 x)))))
(log.f64 (/.f64 x (log.f64 x)))
(*.f64 1 (log.f64 (/.f64 x (log.f64 x))))
(-.f64 (neg.f64 (neg.f64 (log.f64 x))) (log.f64 (neg.f64 (neg.f64 (log.f64 x)))))
(log.f64 (/.f64 x (log.f64 x)))
(*.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2))
(-.f64 (neg.f64 (neg.f64 (log.f64 x))) (log.f64 (neg.f64 (neg.f64 (log.f64 x)))))
(log.f64 (/.f64 x (log.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2) (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))))
(-.f64 (neg.f64 (neg.f64 (log.f64 x))) (log.f64 (neg.f64 (neg.f64 (log.f64 x)))))
(log.f64 (/.f64 x (log.f64 x)))
(*.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))) (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))))
(-.f64 (neg.f64 (neg.f64 (log.f64 x))) (log.f64 (neg.f64 (neg.f64 (log.f64 x)))))
(log.f64 (/.f64 x (log.f64 x)))
(*.f64 (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (log.f64 x)) 3)) (/.f64 1 (fma.f64 (log.f64 (log.f64 x)) (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 x) 2))))
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(log.f64 (/.f64 x (log.f64 x)))
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(-.f64 (neg.f64 (neg.f64 (log.f64 x))) (log.f64 (neg.f64 (neg.f64 (log.f64 x)))))
(log.f64 (/.f64 x (log.f64 x)))
(fma.f64 (sqrt.f64 (log.f64 (log.f64 x))) (neg.f64 (sqrt.f64 (log.f64 (log.f64 x)))) (log.f64 x))
(-.f64 (neg.f64 (neg.f64 (log.f64 x))) (log.f64 (neg.f64 (neg.f64 (log.f64 x)))))
(log.f64 (/.f64 x (log.f64 x)))
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(-.f64 (neg.f64 (neg.f64 (log.f64 x))) (log.f64 (neg.f64 (neg.f64 (log.f64 x)))))
(log.f64 (/.f64 x (log.f64 x)))
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(log.f64 (/.f64 x (log.f64 x)))
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(-.f64 (neg.f64 (neg.f64 (log.f64 x))) (log.f64 (neg.f64 (neg.f64 (log.f64 x)))))
(log.f64 (/.f64 x (log.f64 x)))
(fma.f64 (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (log.f64 x)) 3)) (/.f64 1 (fma.f64 (log.f64 (log.f64 x)) (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 x) 2))) (fma.f64 (neg.f64 (log.f64 (log.f64 x))) 1 (log.f64 (log.f64 x))))
(*.f64 (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (log.f64 x)) 3)) (/.f64 1 (fma.f64 (log.f64 (log.f64 x)) (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 x) 2))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (log.f64 x)) 3)) (fma.f64 (log.f64 (log.f64 x)) (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 x) 2)))
(fma.f64 (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (log.f64 x)) 3)) (/.f64 1 (fma.f64 (log.f64 (log.f64 x)) (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 x) 2))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (log.f64 x)))) (pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) 2) (log.f64 (log.f64 x))))
(*.f64 (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (log.f64 x)) 3)) (/.f64 1 (fma.f64 (log.f64 (log.f64 x)) (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 x) 2))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (log.f64 x)) 3)) (fma.f64 (log.f64 (log.f64 x)) (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 x) 2)))
(fma.f64 (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (log.f64 x)) 3)) (/.f64 1 (fma.f64 (log.f64 (log.f64 x)) (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 x) 2))) (+.f64 (neg.f64 (log.f64 (log.f64 x))) (log.f64 (log.f64 x))))
(*.f64 (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (log.f64 x)) 3)) (/.f64 1 (fma.f64 (log.f64 (log.f64 x)) (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 x) 2))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (log.f64 x)) 3)) (fma.f64 (log.f64 (log.f64 x)) (log.f64 (*.f64 x (log.f64 x))) (pow.f64 (log.f64 x) 2)))
(fma.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 (log.f64 x)) 2)) (/.f64 1 (log.f64 (*.f64 x (log.f64 x)))) (fma.f64 (neg.f64 (log.f64 (log.f64 x))) 1 (log.f64 (log.f64 x))))
(*.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 (log.f64 x)) 2)) (/.f64 1 (log.f64 (*.f64 x (log.f64 x)))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 (log.f64 x)) 2)) (log.f64 (*.f64 x (log.f64 x))))
(fma.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 (log.f64 x)) 2)) (/.f64 1 (log.f64 (*.f64 x (log.f64 x)))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (log.f64 x)))) (pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) 2) (log.f64 (log.f64 x))))
(*.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 (log.f64 x)) 2)) (/.f64 1 (log.f64 (*.f64 x (log.f64 x)))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 (log.f64 x)) 2)) (log.f64 (*.f64 x (log.f64 x))))
(fma.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 (log.f64 x)) 2)) (/.f64 1 (log.f64 (*.f64 x (log.f64 x)))) (+.f64 (neg.f64 (log.f64 (log.f64 x))) (log.f64 (log.f64 x))))
(*.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 (log.f64 x)) 2)) (/.f64 1 (log.f64 (*.f64 x (log.f64 x)))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 (log.f64 x)) 2)) (log.f64 (*.f64 x (log.f64 x))))
(fma.f64 (neg.f64 (sqrt.f64 (log.f64 (log.f64 x)))) (sqrt.f64 (log.f64 (log.f64 x))) (log.f64 x))
(-.f64 (neg.f64 (neg.f64 (log.f64 x))) (log.f64 (neg.f64 (neg.f64 (log.f64 x)))))
(log.f64 (/.f64 x (log.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (log.f64 x)))) 2) (cbrt.f64 (neg.f64 (log.f64 (log.f64 x)))) (log.f64 x))
(-.f64 (neg.f64 (neg.f64 (log.f64 x))) (log.f64 (neg.f64 (neg.f64 (log.f64 x)))))
(log.f64 (/.f64 x (log.f64 x)))
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 (log.f64 x)))) (sqrt.f64 (neg.f64 (log.f64 (log.f64 x)))) (log.f64 x))
(-.f64 (neg.f64 (neg.f64 (log.f64 x))) (log.f64 (neg.f64 (neg.f64 (log.f64 x)))))
(log.f64 (/.f64 x (log.f64 x)))
(fma.f64 -1 (log.f64 (log.f64 x)) (log.f64 x))
(-.f64 (neg.f64 (neg.f64 (log.f64 x))) (log.f64 (neg.f64 (neg.f64 (log.f64 x)))))
(log.f64 (/.f64 x (log.f64 x)))
(fma.f64 (+.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 (log.f64 x)))) (-.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 (log.f64 x)))) (fma.f64 (neg.f64 (log.f64 (log.f64 x))) 1 (log.f64 (log.f64 x))))
(-.f64 (neg.f64 (neg.f64 (log.f64 x))) (log.f64 (neg.f64 (neg.f64 (log.f64 x)))))
(log.f64 (/.f64 x (log.f64 x)))
(fma.f64 (+.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 (log.f64 x)))) (-.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 (log.f64 x)))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (log.f64 x)))) (pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) 2) (log.f64 (log.f64 x))))
(-.f64 (neg.f64 (neg.f64 (log.f64 x))) (log.f64 (neg.f64 (neg.f64 (log.f64 x)))))
(log.f64 (/.f64 x (log.f64 x)))
(fma.f64 (+.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 (log.f64 x)))) (-.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 (log.f64 x)))) (+.f64 (neg.f64 (log.f64 (log.f64 x))) (log.f64 (log.f64 x))))
(-.f64 (neg.f64 (neg.f64 (log.f64 x))) (log.f64 (neg.f64 (neg.f64 (log.f64 x)))))
(log.f64 (/.f64 x (log.f64 x)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) 2)) (cbrt.f64 (log.f64 (log.f64 x))) (log.f64 x))
(-.f64 (neg.f64 (neg.f64 (log.f64 x))) (log.f64 (neg.f64 (neg.f64 (log.f64 x)))))
(log.f64 (/.f64 x (log.f64 x)))
(+.f64 (log.f64 (log.f64 x)) 0)
(log.f64 (neg.f64 (neg.f64 (log.f64 x))))
(log.f64 (log.f64 x))
(+.f64 0 (log.f64 (log.f64 x)))
(log.f64 (neg.f64 (neg.f64 (log.f64 x))))
(log.f64 (log.f64 x))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (log.f64 x)))) (log.f64 (cbrt.f64 (log.f64 x))))
(log.f64 (neg.f64 (neg.f64 (log.f64 x))))
(log.f64 (log.f64 x))
(+.f64 (log.f64 (cbrt.f64 (log.f64 x))) (*.f64 2 (log.f64 (cbrt.f64 (log.f64 x)))))
(log.f64 (neg.f64 (neg.f64 (log.f64 x))))
(log.f64 (log.f64 x))
(+.f64 (log.f64 (sqrt.f64 (log.f64 x))) (log.f64 (sqrt.f64 (log.f64 x))))
(log.f64 (neg.f64 (neg.f64 (log.f64 x))))
(log.f64 (log.f64 x))
(-.f64 (+.f64 1 (log.f64 (log.f64 x))) 1)
(log.f64 (neg.f64 (neg.f64 (log.f64 x))))
(log.f64 (log.f64 x))
(*.f64 (log.f64 (log.f64 x)) 1)
(log.f64 (neg.f64 (neg.f64 (log.f64 x))))
(log.f64 (log.f64 x))
(*.f64 (log.f64 (log.f64 x)) (log.f64 (E.f64)))
(log.f64 (neg.f64 (neg.f64 (log.f64 x))))
(log.f64 (log.f64 x))
(*.f64 1 (log.f64 (log.f64 x)))
(log.f64 (neg.f64 (neg.f64 (log.f64 x))))
(log.f64 (log.f64 x))
(*.f64 (cbrt.f64 (log.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) 2))
(log.f64 (neg.f64 (neg.f64 (log.f64 x))))
(log.f64 (log.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) 2) (cbrt.f64 (log.f64 (log.f64 x))))
(log.f64 (neg.f64 (neg.f64 (log.f64 x))))
(log.f64 (log.f64 x))
(*.f64 (sqrt.f64 (log.f64 (log.f64 x))) (sqrt.f64 (log.f64 (log.f64 x))))
(log.f64 (neg.f64 (neg.f64 (log.f64 x))))
(log.f64 (log.f64 x))
(*.f64 3 (log.f64 (cbrt.f64 (log.f64 x))))
(log.f64 (neg.f64 (neg.f64 (log.f64 x))))
(log.f64 (log.f64 x))
(*.f64 2 (log.f64 (sqrt.f64 (log.f64 x))))
(log.f64 (neg.f64 (neg.f64 (log.f64 x))))
(log.f64 (log.f64 x))
(*.f64 1/3 (*.f64 (log.f64 (log.f64 x)) 3))
(log.f64 (neg.f64 (neg.f64 (log.f64 x))))
(log.f64 (log.f64 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (log.f64 x)))) 2) 3) (cbrt.f64 (log.f64 (log.f64 x))))
(log.f64 (neg.f64 (neg.f64 (log.f64 x))))
(log.f64 (log.f64 x))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (log.f64 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (log.f64 x)))) 3))
(log.f64 (neg.f64 (neg.f64 (log.f64 x))))
(log.f64 (log.f64 x))
(*.f64 (pow.f64 1 1/3) (log.f64 (log.f64 x)))
(log.f64 (neg.f64 (neg.f64 (log.f64 x))))
(log.f64 (log.f64 x))
(*.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 (log.f64 x)) (cbrt.f64 (log.f64 (log.f64 x)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (log.f64 (log.f64 x)))))
(*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (log.f64 x)))) (cbrt.f64 (pow.f64 (*.f64 (log.f64 (log.f64 x)) (cbrt.f64 (log.f64 (log.f64 x)))) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (log.f64 x)))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) 4) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (log.f64 x)))) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) 8)))
(*.f64 (pow.f64 (pow.f64 (log.f64 (log.f64 x)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (log.f64 (log.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (log.f64 x)) 5/2)) (cbrt.f64 (sqrt.f64 (log.f64 (log.f64 x)))))
(pow.f64 (log.f64 (log.f64 x)) 1)
(log.f64 (neg.f64 (neg.f64 (log.f64 x))))
(log.f64 (log.f64 x))
(pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) 3)
(log.f64 (neg.f64 (neg.f64 (log.f64 x))))
(log.f64 (log.f64 x))
(pow.f64 (pow.f64 (log.f64 (log.f64 x)) 2) 1/2)
(log.f64 (neg.f64 (neg.f64 (log.f64 x))))
(log.f64 (log.f64 x))
(pow.f64 (pow.f64 (log.f64 (log.f64 x)) 3) 1/3)
(log.f64 (neg.f64 (neg.f64 (log.f64 x))))
(log.f64 (log.f64 x))
(pow.f64 (sqrt.f64 (log.f64 (log.f64 x))) 2)
(log.f64 (neg.f64 (neg.f64 (log.f64 x))))
(log.f64 (log.f64 x))
(pow.f64 (E.f64) (log.f64 (log.f64 (log.f64 x))))
(log.f64 (neg.f64 (neg.f64 (log.f64 x))))
(log.f64 (log.f64 x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 (log.f64 x)))) 2)) (cbrt.f64 (log.f64 (log.f64 (log.f64 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 (log.f64 x))))) (sqrt.f64 (log.f64 (log.f64 (log.f64 x)))))
(sqrt.f64 (pow.f64 (log.f64 (log.f64 x)) 2))
(log.f64 (neg.f64 (neg.f64 (log.f64 x))))
(log.f64 (log.f64 x))
(cbrt.f64 (pow.f64 (log.f64 (log.f64 x)) 3))
(log.f64 (neg.f64 (neg.f64 (log.f64 x))))
(log.f64 (log.f64 x))
(expm1.f64 (log1p.f64 (log.f64 (log.f64 x))))
(log.f64 (neg.f64 (neg.f64 (log.f64 x))))
(log.f64 (log.f64 x))
(exp.f64 (log.f64 (log.f64 (log.f64 x))))
(log.f64 (neg.f64 (neg.f64 (log.f64 x))))
(log.f64 (log.f64 x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (log.f64 x)))) 3))
(log.f64 (neg.f64 (neg.f64 (log.f64 x))))
(log.f64 (log.f64 x))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 (log.f64 x))) 3) 1/3))
(log.f64 (neg.f64 (neg.f64 (log.f64 x))))
(log.f64 (log.f64 x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (log.f64 x)))) 2))
(log.f64 (neg.f64 (neg.f64 (log.f64 x))))
(log.f64 (log.f64 x))
(log1p.f64 (-.f64 (log.f64 x) 1))
(log1p.f64 (+.f64 (log.f64 x) -1))
(log1p.f64 (+.f64 -1 (log.f64 x)))

eval94.0ms (3.3%)

Compiler

Compiled 2590 to 869 computations (66.4% saved)

prune22.0ms (0.8%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New1752177
Fresh000
Picked101
Done000
Total1762178
Accuracy
100.0%
Counts
178 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(neg.f64 (log.f64 (/.f64 (log.f64 x) x)))
100.0%
(log.f64 (/.f64 x (log.f64 x)))
100.0%
(neg.f64 (log.f64 (/.f64 (log.f64 x) x)))
100.0%
(log.f64 (/.f64 x (log.f64 x)))
Compiler

Compiled 26 to 18 computations (30.8% saved)

localize49.0ms (1.7%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
99.6%
(/.f64 (log.f64 x) x)
99.5%
(/.f64 x (log.f64 x))
Compiler

Compiled 32 to 8 computations (75% saved)

series14.0ms (0.5%)

Counts
2 → 16
Calls

6 calls:

TimeVariablePointExpression
8.0ms
x
@inf
(/.f64 x (log.f64 x))
5.0ms
x
@-inf
(/.f64 x (log.f64 x))
1.0ms
x
@0
(/.f64 x (log.f64 x))
0.0ms
x
@-inf
(/.f64 (log.f64 x) x)
0.0ms
x
@0
(/.f64 (log.f64 x) x)

rewrite98.0ms (3.5%)

Algorithm
batch-egg-rewrite
Rules
788×unpow-prod-down
462×log-prod
456×cbrt-prod
406×log1p-expm1-u
406×expm1-log1p-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0934
18934
2114934
Stop Event
node limit
Counts
2 → 146
Calls
Call 1
Inputs
(/.f64 x (log.f64 x))
(/.f64 (log.f64 x) x)
Outputs
(+.f64 0 (/.f64 x (log.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x (log.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (log.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (log.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (log.f64 x))))))
(-.f64 (+.f64 1 (/.f64 x (log.f64 x))) 1)
(*.f64 x (/.f64 1 (log.f64 x)))
(*.f64 (/.f64 x (log.f64 x)) 1)
(*.f64 (/.f64 x (log.f64 x)) (log.f64 (E.f64)))
(*.f64 1 (/.f64 x (log.f64 x)))
(*.f64 (cbrt.f64 (/.f64 x (log.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 x) x)) -2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 x) x)) -2) (cbrt.f64 (/.f64 x (log.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (log.f64 x))))
(*.f64 (sqrt.f64 (/.f64 x (log.f64 x))) (sqrt.f64 (/.f64 x (log.f64 x))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (log.f64 x))))
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (log.f64 x))))
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(expm1.f64 (log1p.f64 (/.f64 (log.f64 x) x)))
(exp.f64 (log.f64 (/.f64 (log.f64 x) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 x (log.f64 x))) -1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (log.f64 x) x))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 x (log.f64 x)) -3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (log.f64 x) x))) 2))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 x) x)))

simplify87.0ms (3.1%)

Algorithm
egg-herbie
Rules
1202×fma-def
1166×unswap-sqr
632×sqr-pow
628×associate-/r/
474×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03675586
19044504
228004400
Stop Event
node limit
Counts
162 → 201
Calls
Call 1
Inputs
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(*.f64 -1 (/.f64 x (log.f64 (/.f64 1 x))))
(*.f64 -1 (/.f64 x (log.f64 (/.f64 1 x))))
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(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 x (log.f64 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 x (log.f64 x)))) 3))
(*.f64 (pow.f64 1 1/3) (/.f64 x (log.f64 x)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 x (log.f64 x)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 x (log.f64 x)) 3)) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 x (log.f64 x)) 2) x) 1/3) (/.f64 1 (cbrt.f64 (log.f64 x))))
(*.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 x (log.f64 x)) (cbrt.f64 (/.f64 x (log.f64 x)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 x (log.f64 x)))))
(*.f64 (pow.f64 (pow.f64 (/.f64 x (log.f64 x)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (/.f64 x (log.f64 x)))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (/.f64 x (log.f64 x)) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (/.f64 x (log.f64 x)) 3))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 x (log.f64 x)) 2) x)) (/.f64 1 (cbrt.f64 (log.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 x (log.f64 x)) (cbrt.f64 (/.f64 x (log.f64 x)))) 2)) (cbrt.f64 (cbrt.f64 (/.f64 x (log.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 x (log.f64 x)) 5/2)) (cbrt.f64 (sqrt.f64 (/.f64 x (log.f64 x)))))
(pow.f64 (/.f64 x (log.f64 x)) 1)
(pow.f64 (/.f64 (log.f64 x) x) -1)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 x) x)) -3)
(pow.f64 (cbrt.f64 (/.f64 x (log.f64 x))) 3)
(pow.f64 (pow.f64 (/.f64 x (log.f64 x)) -3) -1/3)
(pow.f64 (pow.f64 (/.f64 x (log.f64 x)) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 x (log.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 x) x)) -2)
(pow.f64 (sqrt.f64 (/.f64 x (log.f64 x))) 2)
(pow.f64 (E.f64) (log.f64 (/.f64 x (log.f64 x))))
(pow.f64 (/.f64 (pow.f64 x 3) (pow.f64 (log.f64 x) 3)) 1/3)
(pow.f64 (/.f64 (/.f64 (log.f64 x) x) 1) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2)) (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))) (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))))
(neg.f64 (/.f64 x (neg.f64 (log.f64 x))))
(sqrt.f64 (pow.f64 (/.f64 x (log.f64 x)) 2))
(log.f64 (exp.f64 (/.f64 x (log.f64 x))))
(cbrt.f64 (pow.f64 (/.f64 x (log.f64 x)) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (log.f64 x) 3)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 x (log.f64 x)) 3/2) (pow.f64 (/.f64 (log.f64 x) x) 3/2)))
(cbrt.f64 (/.f64 (pow.f64 (neg.f64 x) 3) (pow.f64 (neg.f64 (log.f64 x)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 1 (log.f64 x)) 3) (pow.f64 (/.f64 1 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 x (log.f64 x))))
(exp.f64 (log.f64 (/.f64 x (log.f64 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 x) x)) -1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 x (log.f64 x)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 x (log.f64 x)) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 x (log.f64 x)))) 2))
(log1p.f64 (expm1.f64 (/.f64 x (log.f64 x))))
(+.f64 0 (/.f64 (log.f64 x) x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 x))) 2)) (log.f64 (cbrt.f64 (pow.f64 x (/.f64 1 x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 x (/.f64 1 x)))) (log.f64 (sqrt.f64 (pow.f64 x (/.f64 1 x)))))
(-.f64 (+.f64 1 (/.f64 (log.f64 x) x)) 1)
(*.f64 (log.f64 x) (/.f64 1 x))
(*.f64 (/.f64 (log.f64 x) x) 1)
(*.f64 (/.f64 (log.f64 x) x) (log.f64 (E.f64)))
(*.f64 1 (/.f64 (log.f64 x) x))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (*.f64 (cbrt.f64 (log.f64 x)) (/.f64 1 x)))
(*.f64 (cbrt.f64 (/.f64 (log.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 (log.f64 x) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 x) x)) 2) (cbrt.f64 (/.f64 (log.f64 x) x)))
(*.f64 (sqrt.f64 (log.f64 x)) (*.f64 (sqrt.f64 (log.f64 x)) (/.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 (log.f64 x) x)) (sqrt.f64 (/.f64 (log.f64 x) x)))
(*.f64 (neg.f64 (log.f64 x)) (/.f64 1 (neg.f64 x)))
(*.f64 (/.f64 1 x) (log.f64 x))
(*.f64 (/.f64 1 x) (pow.f64 (/.f64 1 (log.f64 x)) -1))
(*.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 (log.f64 x) (cbrt.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 x) -2) (pow.f64 (*.f64 (cbrt.f64 x) (/.f64 1 (log.f64 x))) -1))
(*.f64 (pow.f64 x -1/2) (/.f64 (log.f64 x) (sqrt.f64 x)))
(*.f64 (pow.f64 x -1/2) (pow.f64 (*.f64 (sqrt.f64 x) (/.f64 1 (log.f64 x))) -1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) 1) (/.f64 (cbrt.f64 (log.f64 x)) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (log.f64 x)) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (log.f64 x)) 1) (/.f64 (sqrt.f64 (log.f64 x)) x))
(*.f64 (/.f64 (sqrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (log.f64 x)) (cbrt.f64 x)))
(*.f64 (/.f64 1 (neg.f64 x)) (neg.f64 (log.f64 x)))
(*.f64 (/.f64 1 (neg.f64 x)) (pow.f64 (/.f64 1 (neg.f64 (log.f64 x))) -1))
(*.f64 (pow.f64 1 1/3) (/.f64 (log.f64 x) x))
(*.f64 (pow.f64 (/.f64 1 (log.f64 x)) -1) (/.f64 1 x))
(*.f64 (pow.f64 (/.f64 1 (neg.f64 (log.f64 x))) -1) (/.f64 1 (neg.f64 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 x)) -2) -1) (pow.f64 (/.f64 x (cbrt.f64 (log.f64 x))) -1))
(*.f64 (pow.f64 (pow.f64 (log.f64 x) -1/2) -1) (pow.f64 (/.f64 x (sqrt.f64 (log.f64 x))) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) -1) (pow.f64 (/.f64 (cbrt.f64 x) (log.f64 x)) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (log.f64 x))) -1) (pow.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (log.f64 x))) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) 1) -1) (pow.f64 (/.f64 (sqrt.f64 x) (log.f64 x)) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (log.f64 x)) 2)) -1) (pow.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (log.f64 x))) -1))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (log.f64 x) x))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (log.f64 x) x))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 x (log.f64 x)) -3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 x (log.f64 x)) -3)) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 x (log.f64 x)) -2) (log.f64 x)) 1/3) (/.f64 1 (cbrt.f64 x)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 (log.f64 x) x) (cbrt.f64 (/.f64 (log.f64 x) x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 x) x))))
(*.f64 (pow.f64 (pow.f64 (/.f64 (log.f64 x) x) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (/.f64 (log.f64 x) x))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (/.f64 x (log.f64 x)) -3))) (cbrt.f64 (sqrt.f64 (pow.f64 (/.f64 x (log.f64 x)) -3))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 x (log.f64 x)) -2) (log.f64 x))) (/.f64 1 (cbrt.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 (log.f64 x) x) (cbrt.f64 (/.f64 (log.f64 x) x))) 2)) (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 x) x))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 x) x) 5/2)) (cbrt.f64 (sqrt.f64 (/.f64 (log.f64 x) x))))
(pow.f64 (/.f64 x (log.f64 x)) -1)
(pow.f64 (/.f64 (log.f64 x) x) 1)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 x) x)) 3)
(pow.f64 (cbrt.f64 (/.f64 x (log.f64 x))) -3)
(pow.f64 (pow.f64 (/.f64 x (log.f64 x)) -2) 1/2)
(pow.f64 (pow.f64 (/.f64 x (log.f64 x)) -3) 1/3)
(pow.f64 (pow.f64 (/.f64 x (log.f64 x)) 3) -1/3)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 x) x)) 2)
(pow.f64 (sqrt.f64 (/.f64 x (log.f64 x))) -2)
(pow.f64 (E.f64) (log.f64 (/.f64 (log.f64 x) x)))
(pow.f64 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 x 3)) 1/3)
(pow.f64 (/.f64 (/.f64 x (log.f64 x)) 1) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (log.f64 x) x))) 2)) (cbrt.f64 (log.f64 (/.f64 (log.f64 x) x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (log.f64 x) x)))) (sqrt.f64 (log.f64 (/.f64 (log.f64 x) x))))
(neg.f64 (/.f64 (log.f64 x) (neg.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 x (log.f64 x)) -2))
(log.f64 (pow.f64 x (/.f64 1 x)))
(cbrt.f64 (pow.f64 (/.f64 x (log.f64 x)) -3))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 x 3)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (log.f64 x) x) 3/2) (pow.f64 (/.f64 x (log.f64 x)) 3/2)))
(cbrt.f64 (/.f64 (pow.f64 (neg.f64 (log.f64 x)) 3) (pow.f64 (neg.f64 x) 3)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 1 x) 3) (pow.f64 (/.f64 1 (log.f64 x)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 x) x)))
(exp.f64 (log.f64 (/.f64 (log.f64 x) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 x (log.f64 x))) -1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (log.f64 x) x))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 x (log.f64 x)) -3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (log.f64 x) x))) 2))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 x) x)))
Outputs
(*.f64 -1 (/.f64 x (log.f64 (/.f64 1 x))))
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x)))
(/.f64 x (log.f64 x))
(*.f64 -1 (/.f64 x (log.f64 (/.f64 1 x))))
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x)))
(/.f64 x (log.f64 x))
(*.f64 -1 (/.f64 x (log.f64 (/.f64 1 x))))
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x)))
(/.f64 x (log.f64 x))
(*.f64 -1 (/.f64 x (log.f64 (/.f64 1 x))))
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x)))
(/.f64 x (log.f64 x))
(/.f64 x (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))
(/.f64 x (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))))
(/.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(/.f64 x (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))
(/.f64 x (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))))
(/.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(/.f64 x (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))
(/.f64 x (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))))
(/.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(/.f64 x (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))
(/.f64 x (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))))
(/.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) x))
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) x))
(/.f64 (log.f64 x) x)
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) x))
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) x))
(/.f64 (log.f64 x) x)
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) x))
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) x))
(/.f64 (log.f64 x) x)
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) x))
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) x))
(/.f64 (log.f64 x) x)
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) x)
(/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))) x)
(/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) x)
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) x)
(/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))) x)
(/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) x)
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) x)
(/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))) x)
(/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) x)
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) x)
(/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))) x)
(/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) x)
(+.f64 0 (/.f64 x (log.f64 x)))
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x)))
(/.f64 x (log.f64 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x (log.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (log.f64 x))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (log.f64 x)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (log.f64 x))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (log.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (log.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (log.f64 x))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (log.f64 x))))))
(-.f64 (+.f64 1 (/.f64 x (log.f64 x))) 1)
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x)))
(/.f64 x (log.f64 x))
(*.f64 x (/.f64 1 (log.f64 x)))
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x)))
(/.f64 x (log.f64 x))
(*.f64 (/.f64 x (log.f64 x)) 1)
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x)))
(/.f64 x (log.f64 x))
(*.f64 (/.f64 x (log.f64 x)) (log.f64 (E.f64)))
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x)))
(/.f64 x (log.f64 x))
(*.f64 1 (/.f64 x (log.f64 x)))
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x)))
(/.f64 x (log.f64 x))
(*.f64 (cbrt.f64 (/.f64 x (log.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 x) x)) -2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 x) x)) -2) (cbrt.f64 (/.f64 x (log.f64 x))))
(*.f64 (cbrt.f64 (/.f64 x (log.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 x) x)) -2))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (log.f64 x))))
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x)))
(/.f64 x (log.f64 x))
(*.f64 (sqrt.f64 (/.f64 x (log.f64 x))) (sqrt.f64 (/.f64 x (log.f64 x))))
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x)))
(/.f64 x (log.f64 x))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (log.f64 x))))
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x)))
(/.f64 x (log.f64 x))
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (log.f64 x))))
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x)))
(/.f64 x (log.f64 x))
(*.f64 (/.f64 1 (log.f64 x)) x)
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x)))
(/.f64 x (log.f64 x))
(*.f64 (/.f64 1 (log.f64 x)) (pow.f64 (/.f64 1 x) -1))
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x)))
(/.f64 x (log.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 x)) -2) (/.f64 x (cbrt.f64 (log.f64 x))))
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x)))
(/.f64 x (log.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 x)) -2) (pow.f64 (*.f64 (cbrt.f64 (log.f64 x)) (/.f64 1 x)) -1))
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x)))
(/.f64 x (log.f64 x))
(*.f64 (pow.f64 (log.f64 x) -1/2) (/.f64 x (sqrt.f64 (log.f64 x))))
(/.f64 (*.f64 (pow.f64 (log.f64 x) -1/2) x) (sqrt.f64 (log.f64 x)))
(/.f64 (pow.f64 (log.f64 x) -1/2) (/.f64 (sqrt.f64 (log.f64 x)) x))
(*.f64 (pow.f64 (log.f64 x) -1/2) (pow.f64 (*.f64 (sqrt.f64 (log.f64 x)) (/.f64 1 x)) -1))
(/.f64 (*.f64 (pow.f64 (log.f64 x) -1/2) x) (sqrt.f64 (log.f64 x)))
(*.f64 (pow.f64 (log.f64 x) -1/2) (/.f64 x (sqrt.f64 (log.f64 x))))
(/.f64 (pow.f64 (log.f64 x) -1/2) (/.f64 (sqrt.f64 (log.f64 x)) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (log.f64 x)))
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x)))
(/.f64 x (log.f64 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (log.f64 x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (log.f64 x))))
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x)))
(/.f64 x (log.f64 x))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (log.f64 x)))
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(*.f64 (/.f64 1 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (log.f64 x)))) (*.f64 (/.f64 1 (cbrt.f64 x)) (sqrt.f64 (log.f64 x))))
(*.f64 (/.f64 (*.f64 (pow.f64 (cbrt.f64 x) -2) (sqrt.f64 (log.f64 x))) (cbrt.f64 x)) (sqrt.f64 (log.f64 x)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) 1) -1) (pow.f64 (/.f64 (sqrt.f64 x) (log.f64 x)) -1))
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) x))
(/.f64 (log.f64 x) x)
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (log.f64 x)) 2)) -1) (pow.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (log.f64 x))) -1))
(*.f64 (/.f64 1 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (log.f64 x)) 2))) (/.f64 1 (/.f64 (sqrt.f64 x) (cbrt.f64 (log.f64 x)))))
(*.f64 (*.f64 (/.f64 1 (sqrt.f64 x)) (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (*.f64 (/.f64 1 (sqrt.f64 x)) (cbrt.f64 (log.f64 x))))
(*.f64 (/.f64 (*.f64 (/.f64 1 (sqrt.f64 x)) (cbrt.f64 (log.f64 x))) (sqrt.f64 x)) (pow.f64 (cbrt.f64 (log.f64 x)) 2))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (log.f64 x) x))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (log.f64 x) x))) 3))
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) x))
(/.f64 (log.f64 x) x)
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 x (log.f64 x)) -3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 x (log.f64 x)) -3)) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (/.f64 x (log.f64 x)) -3))) (cbrt.f64 (sqrt.f64 (pow.f64 (/.f64 x (log.f64 x)) -3))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 x (log.f64 x)) -3/2)) (cbrt.f64 (pow.f64 (/.f64 x (log.f64 x)) -3/2)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 x (log.f64 x)) -2) (log.f64 x)) 1/3) (/.f64 1 (cbrt.f64 x)))
(*.f64 (cbrt.f64 (*.f64 (log.f64 x) (pow.f64 (/.f64 x (log.f64 x)) -2))) (/.f64 1 (cbrt.f64 x)))
(/.f64 (cbrt.f64 (*.f64 (log.f64 x) (pow.f64 (/.f64 x (log.f64 x)) -2))) (cbrt.f64 x))
(/.f64 (cbrt.f64 (*.f64 (log.f64 x) (pow.f64 (/.f64 (log.f64 x) x) 2))) (cbrt.f64 x))
(*.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 (log.f64 x) x) (cbrt.f64 (/.f64 (log.f64 x) x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 x) x))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 (log.f64 x) x) (cbrt.f64 (/.f64 (log.f64 x) x))) 2)) (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 x) x))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 x) x)) 4) 2)) (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 x) x))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 x) x)) 8)) (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 x) x))))
(*.f64 (pow.f64 (pow.f64 (/.f64 (log.f64 x) x) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (/.f64 (log.f64 x) x))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 x) x) 5/2)) (cbrt.f64 (sqrt.f64 (/.f64 (log.f64 x) x))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (/.f64 x (log.f64 x)) -3))) (cbrt.f64 (sqrt.f64 (pow.f64 (/.f64 x (log.f64 x)) -3))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 x (log.f64 x)) -3/2)) (cbrt.f64 (pow.f64 (/.f64 x (log.f64 x)) -3/2)))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 x (log.f64 x)) -2) (log.f64 x))) (/.f64 1 (cbrt.f64 x)))
(*.f64 (cbrt.f64 (*.f64 (log.f64 x) (pow.f64 (/.f64 x (log.f64 x)) -2))) (/.f64 1 (cbrt.f64 x)))
(/.f64 (cbrt.f64 (*.f64 (log.f64 x) (pow.f64 (/.f64 x (log.f64 x)) -2))) (cbrt.f64 x))
(/.f64 (cbrt.f64 (*.f64 (log.f64 x) (pow.f64 (/.f64 (log.f64 x) x) 2))) (cbrt.f64 x))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 (log.f64 x) x) (cbrt.f64 (/.f64 (log.f64 x) x))) 2)) (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 x) x))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 x) x)) 4) 2)) (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 x) x))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 x) x)) 8)) (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 x) x))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 x) x) 5/2)) (cbrt.f64 (sqrt.f64 (/.f64 (log.f64 x) x))))
(pow.f64 (/.f64 x (log.f64 x)) -1)
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) x))
(/.f64 (log.f64 x) x)
(pow.f64 (/.f64 (log.f64 x) x) 1)
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) x))
(/.f64 (log.f64 x) x)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 x) x)) 3)
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) x))
(/.f64 (log.f64 x) x)
(pow.f64 (cbrt.f64 (/.f64 x (log.f64 x))) -3)
(pow.f64 (pow.f64 (/.f64 x (log.f64 x)) -2) 1/2)
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) x))
(/.f64 (log.f64 x) x)
(pow.f64 (pow.f64 (/.f64 x (log.f64 x)) -3) 1/3)
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) x))
(/.f64 (log.f64 x) x)
(pow.f64 (pow.f64 (/.f64 x (log.f64 x)) 3) -1/3)
(*.f64 (pow.f64 (pow.f64 (/.f64 x (log.f64 x)) 3) -1/6) (pow.f64 (pow.f64 (/.f64 x (log.f64 x)) 3) -1/6))
(pow.f64 (sqrt.f64 (/.f64 (log.f64 x) x)) 2)
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) x))
(/.f64 (log.f64 x) x)
(pow.f64 (sqrt.f64 (/.f64 x (log.f64 x))) -2)
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) x))
(/.f64 (log.f64 x) x)
(pow.f64 (E.f64) (log.f64 (/.f64 (log.f64 x) x)))
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) x))
(/.f64 (log.f64 x) x)
(pow.f64 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 x 3)) 1/3)
(cbrt.f64 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 x 3)))
(pow.f64 (/.f64 (/.f64 x (log.f64 x)) 1) -1)
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) x))
(/.f64 (log.f64 x) x)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (log.f64 x) x))) 2)) (cbrt.f64 (log.f64 (/.f64 (log.f64 x) x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (log.f64 x) x)))) (sqrt.f64 (log.f64 (/.f64 (log.f64 x) x))))
(neg.f64 (/.f64 (log.f64 x) (neg.f64 x)))
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) x))
(/.f64 (log.f64 x) x)
(sqrt.f64 (pow.f64 (/.f64 x (log.f64 x)) -2))
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) x))
(/.f64 (log.f64 x) x)
(log.f64 (pow.f64 x (/.f64 1 x)))
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) x))
(/.f64 (log.f64 x) x)
(cbrt.f64 (pow.f64 (/.f64 x (log.f64 x)) -3))
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) x))
(/.f64 (log.f64 x) x)
(cbrt.f64 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 x 3)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (log.f64 x) x) 3/2) (pow.f64 (/.f64 x (log.f64 x)) 3/2)))
(cbrt.f64 (/.f64 (pow.f64 (neg.f64 (log.f64 x)) 3) (pow.f64 (neg.f64 x) 3)))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 x 3)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 1 x) 3) (pow.f64 (/.f64 1 (log.f64 x)) 3)))
(cbrt.f64 (/.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 (log.f64 x) 3))))
(cbrt.f64 (/.f64 1 (pow.f64 (/.f64 x (log.f64 x)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 x) x)))
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) x))
(/.f64 (log.f64 x) x)
(exp.f64 (log.f64 (/.f64 (log.f64 x) x)))
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) x))
(/.f64 (log.f64 x) x)
(exp.f64 (*.f64 (log.f64 (/.f64 x (log.f64 x))) -1))
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) x))
(/.f64 (log.f64 x) x)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (log.f64 x) x))) 3))
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) x))
(/.f64 (log.f64 x) x)
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 x (log.f64 x)) -3)) 1/3))
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) x))
(/.f64 (log.f64 x) x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (log.f64 x) x))) 2))
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) x))
(/.f64 (log.f64 x) x)
(log1p.f64 (expm1.f64 (/.f64 (log.f64 x) x)))
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) x))
(/.f64 (log.f64 x) x)

eval48.0ms (1.7%)

Compiler

Compiled 2621 to 1335 computations (49.1% saved)

prune26.0ms (0.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New2010201
Fresh000
Picked022
Done000
Total2012203
Accuracy
100.0%
Counts
203 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(neg.f64 (log.f64 (/.f64 (log.f64 x) x)))
100.0%
(log.f64 (/.f64 x (log.f64 x)))
Compiler

Compiled 31 to 18 computations (41.9% saved)

regimes14.0ms (0.5%)

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

3 calls:

5.0ms
x
4.0ms
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
4.0ms
(log.f64 x)
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
100.0%1(log.f64 x)
Compiler

Compiled 30 to 16 computations (46.7% saved)

regimes4.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
100.0%1x
Compiler

Compiled 8 to 5 computations (37.5% saved)

simplify3.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01246
11646
21846
31946
Stop Event
done
saturated
Calls
Call 1
Inputs
(neg.f64 (log.f64 (/.f64 (log.f64 x) x)))
(log.f64 (/.f64 x (log.f64 x)))
Outputs
(neg.f64 (log.f64 (/.f64 (log.f64 x) x)))
(log.f64 (/.f64 x (log.f64 x)))
Compiler

Compiled 13 to 9 computations (30.8% saved)

soundness269.0ms (9.5%)

Rules
1016×unswap-sqr
896×fma-neg
788×distribute-lft-in
738×distribute-rgt-in
718×prod-diff
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0933
19133
2122733
03266810
17354809
222244763
Stop Event
node limit
node limit
Compiler

Compiled 103 to 65 computations (36.9% saved)

end0.0ms (0%)

preprocess26.0ms (0.9%)

Compiler

Compiled 38 to 22 computations (42.1% saved)

Profiling

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