Jmat.Real.lambertw, estimator

Time bar (total: 2.7s)

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)

sample1.0s (36.7%)

Results
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Bogosity

preprocess126.0ms (4.6%)

Algorithm
egg-herbie
Rules
160×fma-define
132×fma-neg
58×sub-neg
42×unsub-neg
38×associate--r+
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
00-0-x
00-0-(log.f64 x)
00-0-(log.f64 (log.f64 x))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
014120
124120
246116
387116
4153116
5242116
6310116
7365116
8417116
9452116
10478116
11480116
Stop Event
saturated
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 35 to 14 computations (60% saved)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
Compiler

Compiled 7 to 4 computations (42.9% saved)

localize33.0ms (1.2%)

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)

series141.0ms (5.2%)

Counts
2 → 16
Calls

6 calls:

TimeVariablePointExpression
59.0ms
x
@-inf
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
54.0ms
x
@0
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
26.0ms
x
@inf
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
1.0ms
x
@0
(log.f64 (log.f64 x))
1.0ms
x
@-inf
(log.f64 (log.f64 x))

rewrite199.0ms (7.3%)

Algorithm
batch-egg-rewrite
Rules
770×unpow-prod-down
718×prod-diff
463×log1p-expm1-u
463×expm1-log1p-u
436×log-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0933
19133
2122933
Stop Event
node limit
Counts
2 → 142
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 (*.f64 2 (log.f64 (cbrt.f64 x))) (log.f64 (/.f64 (cbrt.f64 x) (log.f64 x))))
(+.f64 (log.f64 (sqrt.f64 x)) (log.f64 (/.f64 (sqrt.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)))))
(log1p.f64 (-.f64 (/.f64 x (log.f64 x)) 1))
(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))
(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))))
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(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))
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(*.f64 (pow.f64 (pow.f64 (log.f64 (log.f64 x)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (log.f64 (log.f64 x)))))
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(cbrt.f64 (pow.f64 (log.f64 (log.f64 x)) 3))
(expm1.f64 (log1p.f64 (log.f64 (log.f64 x))))
(log1p.f64 (-.f64 (log.f64 x) 1))
(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))
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simplify124.0ms (4.5%)

Algorithm
egg-herbie
Rules
1140×fma-define
892×distribute-lft-neg-in
560×unswap-sqr
530×div-sub
424×distribute-lft-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
03317629
16066156
215165126
354285122
Stop Event
node limit
Counts
158 → 176
Calls
Call 1
Inputs
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(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))))
(log1p.f64 (-.f64 (log.f64 x) 1))
(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))
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)))))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(+.f64 (log.f64 x) (log.f64 (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)))))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(+.f64 (log.f64 x) (log.f64 (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)))))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(+.f64 (log.f64 x) (log.f64 (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)))))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(+.f64 (log.f64 x) (log.f64 (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 (log.f64 -1) (-.f64 (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 (log.f64 -1) (-.f64 (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 (log.f64 -1) (-.f64 (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 (log.f64 -1) (-.f64 (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)))))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(+.f64 (log.f64 x) (log.f64 (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)))))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(+.f64 (log.f64 x) (log.f64 (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 (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))) (*.f64 (log.f64 (log.f64 x)) 0))
(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 (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))) (*.f64 (log.f64 (log.f64 x)) 0))
(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 (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))) (*.f64 (log.f64 (log.f64 x)) 0))
(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 (log.f64 (/.f64 x (log.f64 x))) (*.f64 (log.f64 (log.f64 x)) 0))
(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 (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))) (*.f64 (log.f64 (log.f64 x)) 0))
(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)))))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(+.f64 (log.f64 x) (log.f64 (log.f64 x)))
(+.f64 0 (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 (log.f64 (/.f64 x (log.f64 x))) (*.f64 (log.f64 (log.f64 x)) 0))
(log.f64 (/.f64 x (log.f64 x)))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 x))) (log.f64 (/.f64 (cbrt.f64 x) (log.f64 x))))
(fma.f64 2 (log.f64 (cbrt.f64 x)) (log.f64 (/.f64 (cbrt.f64 x) (log.f64 x))))
(+.f64 (log.f64 (sqrt.f64 x)) (log.f64 (/.f64 (sqrt.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 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 (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))))
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(-.f64 (neg.f64 (neg.f64 (log.f64 x))) (log.f64 (neg.f64 (neg.f64 (log.f64 x)))))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(+.f64 (log.f64 x) (log.f64 (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)))))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(+.f64 (log.f64 x) (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 (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)))))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(+.f64 (log.f64 x) (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))))
(-.f64 (neg.f64 (neg.f64 (log.f64 x))) (log.f64 (neg.f64 (neg.f64 (log.f64 x)))))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(+.f64 (log.f64 x) (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))))
(-.f64 (neg.f64 (neg.f64 (log.f64 x))) (log.f64 (neg.f64 (neg.f64 (log.f64 x)))))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(+.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 (neg.f64 (neg.f64 (log.f64 x))) (log.f64 (neg.f64 (neg.f64 (log.f64 x)))))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(+.f64 (log.f64 x) (log.f64 (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))))
(*.f64 3 (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 3 (log.f64 (cbrt.f64 (log.f64 x))))
(+.f64 (log.f64 (sqrt.f64 (log.f64 x))) (log.f64 (sqrt.f64 (log.f64 x))))
(*.f64 2 (log.f64 (sqrt.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))))
(*.f64 2 (log.f64 (sqrt.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))
(log1p.f64 (-.f64 (log.f64 x) 1))
(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))

eval51.0ms (1.9%)

Compiler

Compiled 2660 to 896 computations (66.3% saved)

prune21.0ms (0.8%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New1742176
Fresh000
Picked101
Done000
Total1752177
Accuracy
100.0%
Counts
177 → 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 13 to 9 computations (30.8% saved)

localize50.0ms (1.8%)

Localize:

Found 4 expressions with local error:

NewAccuracyProgram
100.0%
(log.f64 (/.f64 (log.f64 x) x))
99.5%
(/.f64 (log.f64 x) x)
100.0%
(log.f64 (/.f64 x (log.f64 x)))
99.5%
(/.f64 x (log.f64 x))
Compiler

Compiled 32 to 8 computations (75% saved)

series154.0ms (5.6%)

Counts
4 → 40
Calls

12 calls:

TimeVariablePointExpression
62.0ms
x
@-inf
(log.f64 (/.f64 (log.f64 x) x))
23.0ms
x
@-inf
(log.f64 (/.f64 x (log.f64 x)))
17.0ms
x
@inf
(log.f64 (/.f64 x (log.f64 x)))
16.0ms
x
@0
(log.f64 (/.f64 x (log.f64 x)))
9.0ms
x
@inf
(/.f64 x (log.f64 x))

rewrite124.0ms (4.5%)

Algorithm
batch-egg-rewrite
Rules
1208×unpow-prod-down
620×log-prod
543×log1p-expm1-u
543×expm1-log1p-u
481×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01176
112376
2153376
Stop Event
node limit
Counts
4 → 361
Calls
Call 1
Inputs
(/.f64 x (log.f64 x))
(log.f64 (/.f64 x (log.f64 x)))
(/.f64 (log.f64 x) x)
(log.f64 (/.f64 (log.f64 x) x))
Outputs
(+.f64 1 (-.f64 (/.f64 x (log.f64 x)) 1))
(+.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 (exp.f64 (log1p.f64 (/.f64 x (log.f64 x)))) 1)
(*.f64 x (/.f64 1 (log.f64 x)))
(*.f64 x (pow.f64 (exp.f64 1) (neg.f64 (log.f64 (log.f64 x)))))
(*.f64 (/.f64 x (log.f64 x)) 1)
(*.f64 (/.f64 x (log.f64 x)) (log.f64 (exp.f64 1)))
(*.f64 1 (/.f64 x (log.f64 x)))
(*.f64 (cbrt.f64 (/.f64 x (log.f64 x))) (pow.f64 (cbrt.f64 (/.f64 x (log.f64 x))) 2))
(*.f64 (cbrt.f64 (/.f64 x (log.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 x) x)) -2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (log.f64 x))) 2) (cbrt.f64 (/.f64 x (log.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (cbrt.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) (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))))
(*.f64 (/.f64 1 (log.f64 x)) x)
(*.f64 (/.f64 1 (log.f64 x)) (pow.f64 (/.f64 1 x) -1))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 x)) -2) (/.f64 x (cbrt.f64 (log.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 x)) -2) (pow.f64 (/.f64 (cbrt.f64 (log.f64 x)) x) -1))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 x)) -2) (pow.f64 (*.f64 (cbrt.f64 (log.f64 x)) (/.f64 1 x)) -1))
(*.f64 (pow.f64 (log.f64 x) -1/2) (/.f64 x (sqrt.f64 (log.f64 x))))
(*.f64 (pow.f64 (log.f64 x) -1/2) (pow.f64 (/.f64 (sqrt.f64 (log.f64 x)) x) -1))
(*.f64 (pow.f64 (log.f64 x) -1/2) (pow.f64 (*.f64 (sqrt.f64 (log.f64 x)) (/.f64 1 x)) -1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (log.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (/.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 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (log.f64 x)))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (log.f64 x))))
(*.f64 (/.f64 1 (neg.f64 (log.f64 x))) (neg.f64 x))
(*.f64 (/.f64 1 (neg.f64 (log.f64 x))) (pow.f64 (/.f64 1 (neg.f64 x)) -1))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 x) x)) -2) (cbrt.f64 (/.f64 x (log.f64 x))))
(*.f64 (pow.f64 (exp.f64 1) (*.f64 2 (log.f64 (cbrt.f64 (/.f64 x (log.f64 x)))))) (pow.f64 (exp.f64 1) (log.f64 (cbrt.f64 (/.f64 x (log.f64 x))))))
(*.f64 (pow.f64 (exp.f64 1) (log.f64 (sqrt.f64 (/.f64 x (log.f64 x))))) (pow.f64 (exp.f64 1) (log.f64 (sqrt.f64 (/.f64 x (log.f64 x))))))
(*.f64 (pow.f64 1 1/3) (/.f64 x (log.f64 x)))
(*.f64 (pow.f64 (/.f64 1 x) -1) (/.f64 1 (log.f64 x)))
(*.f64 (pow.f64 (/.f64 1 (neg.f64 x)) -1) (/.f64 1 (neg.f64 (log.f64 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) -2) -1) (pow.f64 (/.f64 (log.f64 x) (cbrt.f64 x)) -1))
(*.f64 (pow.f64 (pow.f64 x -1/2) -1) (pow.f64 (/.f64 (log.f64 x) (sqrt.f64 x)) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) 1) -1) (pow.f64 (/.f64 (cbrt.f64 (log.f64 x)) x) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)) -1) (cbrt.f64 (/.f64 x (log.f64 x))))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (sqrt.f64 x)) -1) (pow.f64 (/.f64 (cbrt.f64 (log.f64 x)) (sqrt.f64 x)) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (log.f64 x)) 1) -1) (pow.f64 (/.f64 (sqrt.f64 (log.f64 x)) x) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 x) 2)) -1) (pow.f64 (/.f64 (sqrt.f64 (log.f64 x)) (cbrt.f64 x)) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 x (log.f64 x)))) 2) 3) (cbrt.f64 (/.f64 x (log.f64 x))))
(*.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 (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) (cbrt.f64 (/.f64 1 (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)))))
(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 (exp.f64 1) (log.f64 (/.f64 x (log.f64 x))))
(pow.f64 (exp.f64 1) (*.f64 (log.f64 (/.f64 (log.f64 x) x)) -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 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2)) (*.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 1))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))) (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))) (*.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 1))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (log.f64 x) x))) 2)) (*.f64 (cbrt.f64 (log.f64 (/.f64 (log.f64 x) x))) -1))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (log.f64 x) x))) 2)) (neg.f64 (cbrt.f64 (log.f64 (/.f64 (log.f64 x) x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (log.f64 x) x)))) (*.f64 (sqrt.f64 (log.f64 (/.f64 (log.f64 x) x))) -1))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (log.f64 x) x)))) (neg.f64 (sqrt.f64 (log.f64 (/.f64 (log.f64 x) x)))))
(pow.f64 (exp.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x))))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2))
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(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (/.f64 (log.f64 x) x)))) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 (/.f64 (log.f64 x) x))) 1) 1))
(fma.f64 1 (log.f64 (log.f64 x)) (neg.f64 (log.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) 2) (cbrt.f64 (log.f64 (log.f64 x))) (neg.f64 (log.f64 x)))
(fma.f64 (sqrt.f64 (log.f64 (log.f64 x))) (sqrt.f64 (log.f64 (log.f64 x))) (neg.f64 (log.f64 x)))

simplify186.0ms (6.8%)

Algorithm
egg-herbie
Rules
794×fma-neg
616×exp-prod
452×cube-prod
434×distribute-lft-neg-out
428×swap-sqr
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
08124294980953
114724294980553
239874294979925
Stop Event
node limit
Counts
401 → 467
Calls
Call 1
Inputs
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(*.f64 -1 (/.f64 x (log.f64 (/.f64 1 x))))
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(+.f64 (log.f64 (/.f64 1 (neg.f64 x))) (log.f64 (neg.f64 (log.f64 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 x) -2)) (log.f64 (/.f64 (log.f64 x) (cbrt.f64 x))))
(+.f64 (log.f64 (pow.f64 x -1/2)) (log.f64 (/.f64 (log.f64 x) (sqrt.f64 x))))
(+.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) 1)) (log.f64 (/.f64 (cbrt.f64 (log.f64 x)) x)))
(+.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2))) (log.f64 (cbrt.f64 (/.f64 (log.f64 x) x))))
(+.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (sqrt.f64 x))) (log.f64 (/.f64 (cbrt.f64 (log.f64 x)) (sqrt.f64 x))))
(+.f64 (log.f64 (/.f64 (sqrt.f64 (log.f64 x)) 1)) (log.f64 (/.f64 (sqrt.f64 (log.f64 x)) x)))
(+.f64 (log.f64 (/.f64 (sqrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 x) 2))) (log.f64 (/.f64 (sqrt.f64 (log.f64 x)) (cbrt.f64 x))))
(-.f64 (log.f64 (log.f64 x)) (log.f64 x))
(-.f64 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 (log.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 (log.f64 x) x)))) 1)
(-.f64 0 (log.f64 (/.f64 x (log.f64 x))))
(-.f64 0 (log.f64 (/.f64 (/.f64 x (log.f64 x)) 1)))
(-.f64 (log.f64 (sqrt.f64 (/.f64 (log.f64 x) x))) (log.f64 (sqrt.f64 (/.f64 x (log.f64 x)))))
(-.f64 (log.f64 (neg.f64 (log.f64 x))) (log.f64 (neg.f64 x)))
(-.f64 (log.f64 -1) (log.f64 (neg.f64 (/.f64 x (log.f64 x)))))
(-.f64 (log.f64 (/.f64 (log.f64 x) (sqrt.f64 x))) (log.f64 (sqrt.f64 x)))
(-.f64 (log.f64 (/.f64 (log.f64 x) 1)) (log.f64 x))
(-.f64 (log.f64 (neg.f64 (neg.f64 (log.f64 x)))) (log.f64 (neg.f64 (neg.f64 x))))
(-.f64 (log.f64 (/.f64 (log.f64 x) (pow.f64 (cbrt.f64 x) 2))) (log.f64 (cbrt.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 (/.f64 (log.f64 x) x)) 1)
(*.f64 (log.f64 (/.f64 (log.f64 x) x)) (log.f64 (exp.f64 1)))
(*.f64 1 (log.f64 (/.f64 (log.f64 x) x)))
(*.f64 (cbrt.f64 (log.f64 (/.f64 (log.f64 x) x))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 (log.f64 x) x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (log.f64 x) x))) 2) (cbrt.f64 (log.f64 (/.f64 (log.f64 x) x))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 (log.f64 x) x))) (sqrt.f64 (log.f64 (/.f64 (log.f64 x) x))))
(*.f64 -1 (log.f64 (/.f64 x (log.f64 x))))
(*.f64 2 (log.f64 (sqrt.f64 (/.f64 (log.f64 x) x))))
(*.f64 1/3 (*.f64 3 (log.f64 (/.f64 (log.f64 x) x))))
(*.f64 3 (log.f64 (cbrt.f64 (/.f64 (log.f64 x) x))))
(*.f64 (pow.f64 1 1/3) (log.f64 (/.f64 (log.f64 x) x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 (log.f64 x) x)))) 2) 3) (cbrt.f64 (log.f64 (/.f64 (log.f64 x) x))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (/.f64 (log.f64 x) x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (/.f64 (log.f64 x) x)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (/.f64 (log.f64 x) x)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (/.f64 (log.f64 x) x)) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 (/.f64 (log.f64 x) x)) (cbrt.f64 (log.f64 (/.f64 (log.f64 x) x)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 (log.f64 x) x)))))
(*.f64 (pow.f64 (pow.f64 (log.f64 (/.f64 (log.f64 x) x)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (log.f64 (/.f64 (log.f64 x) x)))))
(/.f64 (-.f64 (pow.f64 (log.f64 (log.f64 x)) 3) (pow.f64 (log.f64 x) 3)) (+.f64 (pow.f64 (log.f64 (log.f64 x)) 2) (+.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 (log.f64 x)) (log.f64 x)))))
(/.f64 (-.f64 (pow.f64 (log.f64 (log.f64 x)) 2) (pow.f64 (log.f64 x) 2)) (log.f64 (*.f64 (log.f64 x) x)))
(pow.f64 (log.f64 (/.f64 (log.f64 x) x)) 1)
(pow.f64 (cbrt.f64 (log.f64 (/.f64 (log.f64 x) x))) 3)
(pow.f64 (pow.f64 (log.f64 (/.f64 (log.f64 x) x)) 2) 1/2)
(pow.f64 (pow.f64 (log.f64 (/.f64 (log.f64 x) x)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 (log.f64 x) x))) 2)
(pow.f64 (exp.f64 1) (log.f64 (log.f64 (/.f64 (log.f64 x) x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 (/.f64 (log.f64 x) x)))) 2)) (cbrt.f64 (log.f64 (log.f64 (/.f64 (log.f64 x) x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 (/.f64 (log.f64 x) x))))) (sqrt.f64 (log.f64 (log.f64 (/.f64 (log.f64 x) x)))))
(neg.f64 (log.f64 (/.f64 x (log.f64 x))))
(neg.f64 (log.f64 (/.f64 (/.f64 x (log.f64 x)) 1)))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 (log.f64 x) x)) 2))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 (log.f64 x) x)) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 (log.f64 x) x))))
(log1p.f64 (-.f64 (/.f64 (log.f64 x) x) 1))
(exp.f64 (log.f64 (log.f64 (/.f64 (log.f64 x) x))))
(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 (log.f64 x) x))) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (/.f64 (log.f64 x) x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (/.f64 (log.f64 x) x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (/.f64 (log.f64 x) x)))) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 (/.f64 (log.f64 x) x))) 1) 1))
(fma.f64 1 (log.f64 (log.f64 x)) (neg.f64 (log.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) 2) (cbrt.f64 (log.f64 (log.f64 x))) (neg.f64 (log.f64 x)))
(fma.f64 (sqrt.f64 (log.f64 (log.f64 x))) (sqrt.f64 (log.f64 (log.f64 x))) (neg.f64 (log.f64 x)))
Outputs
(*.f64 -1 (/.f64 x (log.f64 (/.f64 1 x))))
(/.f64 x (log.f64 x))
(*.f64 -1 (/.f64 x (log.f64 (/.f64 1 x))))
(/.f64 x (log.f64 x))
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(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (log.f64 x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (log.f64 x)))) 1)
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(/.f64 (-.f64 (pow.f64 (log.f64 (log.f64 x)) 2) (pow.f64 (log.f64 x) 2)) (log.f64 (*.f64 (log.f64 x) x)))
(/.f64 (-.f64 (pow.f64 (log.f64 (log.f64 x)) 2) (pow.f64 (log.f64 x) 2)) (log.f64 (*.f64 x (log.f64 x))))
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(-.f64 (log.f64 (log.f64 x)) (log.f64 x))
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(-.f64 (log.f64 (log.f64 x)) (log.f64 x))
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(-.f64 (log.f64 (log.f64 x)) (log.f64 x))
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(pow.f64 (pow.f64 (log.f64 (/.f64 (log.f64 x) x)) 3) 1/3)
(-.f64 (log.f64 (log.f64 x)) (log.f64 x))
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(pow.f64 (sqrt.f64 (log.f64 (/.f64 (log.f64 x) x))) 2)
(-.f64 (log.f64 (log.f64 x)) (log.f64 x))
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(pow.f64 (exp.f64 1) (log.f64 (log.f64 (/.f64 (log.f64 x) x))))
(-.f64 (log.f64 (log.f64 x)) (log.f64 x))
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(-.f64 (log.f64 (log.f64 x)) (log.f64 x))
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(fma.f64 1 (log.f64 (log.f64 x)) (neg.f64 (log.f64 x)))
(-.f64 (log.f64 (log.f64 x)) (log.f64 x))
(log.f64 (/.f64 (log.f64 x) x))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) 2) (cbrt.f64 (log.f64 (log.f64 x))) (neg.f64 (log.f64 x)))
(-.f64 (log.f64 (log.f64 x)) (log.f64 x))
(log.f64 (/.f64 (log.f64 x) x))
(fma.f64 (sqrt.f64 (log.f64 (log.f64 x))) (sqrt.f64 (log.f64 (log.f64 x))) (neg.f64 (log.f64 x)))
(-.f64 (log.f64 (log.f64 x)) (log.f64 x))
(log.f64 (/.f64 (log.f64 x) x))

eval103.0ms (3.8%)

Compiler

Compiled 6598 to 2744 computations (58.4% saved)

prune86.0ms (3.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New4670467
Fresh000
Picked022
Done000
Total4672469
Accuracy
100.0%
Counts
469 → 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)

regimes13.0ms (0.5%)

Accuracy

Total -0.3b remaining (-3650%)

Threshold costs -0.3b (-3650%)

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
(log.f64 (/.f64 x (log.f64 x)))
Calls

3 calls:

5.0ms
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
4.0ms
(log.f64 x)
3.0ms
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 12 to 7 computations (41.7% saved)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0921
Stop Event
done
saturated
Calls
Call 1
Inputs
(log.f64 (/.f64 x (log.f64 x)))
Outputs
(log.f64 (/.f64 x (log.f64 x)))
Compiler

Compiled 6 to 4 computations (33.3% saved)

soundness294.0ms (10.7%)

Rules
1140×fma-define
892×distribute-lft-neg-in
770×unpow-prod-down
718×prod-diff
560×unswap-sqr
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0933
19133
2122933
03317629
16066156
215165126
354285122
Stop Event
node limit
node limit
Compiler

Compiled 279 to 81 computations (71% saved)

end0.0ms (0%)

preprocess21.0ms (0.8%)

Compiler

Compiled 26 to 16 computations (38.5% saved)

Profiling

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