Jmat.Real.lambertw, estimator

Time bar (total: 3.5s)

analyze2.0ms (0.1%)

Algorithm
1×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)

Precisions
Click to see histograms. Total time spent on operations: 1.0ms
Operation ival-log, time spent: 1.0ms, 117.0% of total-time
Operation ival-sub, time spent: 0.0ms, 0.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

sample1.3s (37.2%)

Results
1.3s8255×0valid
1.0ms10×0invalid
0.0ms1×0valid
Precisions
Click to see histograms. Total time spent on operations: 614.0ms
Operation ival-log, time spent: 422.0ms, 69.0% of total-time
Operation ival-sub, time spent: 178.0ms, 29.0% of total-time
Operation const, time spent: 14.0ms, 2.0% of total-time
Bogosity

preprocess466.0ms (13.1%)

Algorithm
1×egg-herbie
Rules
3836×fma-neg
1882×associate-+r+
1594×distribute-rgt-in
1430×distribute-lft-in
944×fma-define
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
248116
3107116
4243116
5489116
6658116
7793116
8950116
91786116
103064116
114144116
124406116
134422116
144438116
154438116
165796116
176164116
186772116
197446116
207626116
217722116
227764116
237792116
247832116
257884116
Stop Event
1×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 35 to 14 computations (60% saved)

Precisions
Click to see histograms. Total time spent on operations: 35.0ms
Operation ival-log, time spent: 28.0ms, 80.0% of total-time
Operation ival-sub, time spent: 6.0ms, 17.0% of total-time
Operation const, time spent: 1.0ms, 3.0% of total-time

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)

localize38.0ms (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)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
Operation ival-log, time spent: 12.0ms, 76.0% of total-time
Operation ival-sub, time spent: 3.0ms, 19.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

series136.0ms (3.8%)

Counts
2 → 16
Calls

6 calls:

TimeVariablePointExpression
56.0ms
x
@0
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
54.0ms
x
@-inf
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
24.0ms
x
@inf
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
1.0ms
x
@-inf
(log.f64 (log.f64 x))
1.0ms
x
@0
(log.f64 (log.f64 x))

rewrite202.0ms (5.7%)

Algorithm
1×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
1×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))))
(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))))
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(+.f64 (log.f64 (log.f64 x)) 0)
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(-.f64 (+.f64 1 (log.f64 (log.f64 x))) 1)
(*.f64 (log.f64 (log.f64 x)) 1)
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(*.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))
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(*.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))))
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(*.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))

simplify188.0ms (5.3%)

Algorithm
1×egg-herbie
Rules
1016×unswap-sqr
958×fma-neg
804×distribute-lft-in
760×cancel-sign-sub-inv
748×distribute-rgt-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03316882
17554893
222784835
Stop Event
1×node limit
Counts
158 → 175
Calls
Call 1
Inputs
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(-.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 (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)))))
(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)))))
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(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)))))
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(-.f64 (neg.f64 (neg.f64 (log.f64 x))) (log.f64 (neg.f64 (neg.f64 (log.f64 x)))))
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(+.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 (*.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 (*.f64 3 (log.f64 (cbrt.f64 x))) (log.f64 (log.f64 x)))
(+.f64 (log.f64 (sqrt.f64 x)) (log.f64 (/.f64 (sqrt.f64 x) (log.f64 x))))
(-.f64 (*.f64 2 (log.f64 (sqrt.f64 x))) (log.f64 (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)))))
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(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))))
(fma.f64 2 (log.f64 (cbrt.f64 x)) (log.f64 (/.f64 (cbrt.f64 x) (log.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 (sqrt.f64 x)) (log.f64 (/.f64 (sqrt.f64 x) (log.f64 x))))
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(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))

eval37.0ms (1.1%)

Compiler

Compiled 2561 to 853 computations (66.7% saved)

prune22.0ms (0.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New1732175
Fresh000
Picked101
Done000
Total1742176
Accuracy
100.0%
Counts
176 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(log1p.f64 (-.f64 (/.f64 x (log.f64 x)) 1))
▶100.0%
(log.f64 (/.f64 x (log.f64 x)))
Compiler

Compiled 14 to 10 computations (28.6% saved)

localize67.0ms (1.9%)

Localize:

Found 4 expressions with local error:

NewAccuracyProgram
✓100.0%
(log1p.f64 (-.f64 (/.f64 x (log.f64 x)) 1))
✓99.6%
(/.f64 x (log.f64 x))
✓100.0%
(log.f64 (/.f64 x (log.f64 x)))
✓99.6%
(/.f64 x (log.f64 x))
Compiler

Compiled 35 to 11 computations (68.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 40.0ms
Operation ival-log, time spent: 15.0ms, 38.0% of total-time
Operation composed, time spent: 10.0ms, 25.0% of total-time
Operation ival-sub, time spent: 6.0ms, 15.0% of total-time
Operation ival-add, time spent: 4.0ms, 10.0% of total-time
Operation ival-div, time spent: 2.0ms, 5.0% of total-time
Operation const, time spent: 1.0ms, 3.0% of total-time

series144.0ms (4.1%)

Counts
4 → 40
Calls

12 calls:

TimeVariablePointExpression
63.0ms
x
@-inf
(log1p.f64 (-.f64 (/.f64 x (log.f64 x)) 1))
27.0ms
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)))
11.0ms
x
@inf
(/.f64 x (log.f64 x))

rewrite136.0ms (3.8%)

Algorithm
1×batch-egg-rewrite
Rules
1132×unpow-prod-down
706×prod-diff
573×log1p-expm1-u
573×expm1-log1p-u
566×log-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01276
114276
2179376
Stop Event
1×node limit
Counts
4 → 398
Calls
Call 1
Inputs
(/.f64 x (log.f64 x))
(log.f64 (/.f64 x (log.f64 x)))
(/.f64 x (log.f64 x))
(log1p.f64 (-.f64 (/.f64 x (log.f64 x)) 1))
Outputs
(+.f64 1 (+.f64 (/.f64 x (log.f64 x)) -1))
(+.f64 (+.f64 (/.f64 x (log.f64 x)) -1) 1)
(+.f64 0 (/.f64 x (log.f64 x)))
(+.f64 (+.f64 (/.f64 x (log.f64 x)) 1) -1)
(+.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 (/.f64 x (log.f64 x)) 1) 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 (pow.f64 (cbrt.f64 (/.f64 x (log.f64 x))) 2) (cbrt.f64 (/.f64 x (log.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (log.f64 x))) 2) (*.f64 (cbrt.f64 (/.f64 x (log.f64 x))) 1))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (log.f64 x))) 2) (pow.f64 (*.f64 (cbrt.f64 (/.f64 x (log.f64 x))) 1) 1))
(*.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 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (/.f64 (cbrt.f64 x) (log.f64 x)) 1))
(*.f64 (sqrt.f64 (/.f64 x (log.f64 x))) (sqrt.f64 (/.f64 x (log.f64 x))))
(*.f64 (sqrt.f64 (/.f64 x (log.f64 x))) (*.f64 (sqrt.f64 (/.f64 x (log.f64 x))) 1))
(*.f64 (sqrt.f64 (/.f64 x (log.f64 x))) (pow.f64 (*.f64 (sqrt.f64 (/.f64 x (log.f64 x))) 1) 1))
(*.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 (sqrt.f64 x) (pow.f64 (/.f64 (sqrt.f64 x) (log.f64 x)) 1))
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (log.f64 x))))
(*.f64 (neg.f64 x) (pow.f64 (/.f64 1 (neg.f64 (log.f64 x))) 1))
(*.f64 (/.f64 1 (log.f64 x)) x)
(*.f64 (/.f64 1 (log.f64 x)) (pow.f64 (/.f64 1 x) -1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (/.f64 x (cbrt.f64 (log.f64 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (pow.f64 (/.f64 (cbrt.f64 (log.f64 x)) x) -1))
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 x))) (/.f64 x (sqrt.f64 (log.f64 x))))
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 x))) (pow.f64 (/.f64 (sqrt.f64 (log.f64 x)) 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 (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 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) 1) (pow.f64 (/.f64 x (cbrt.f64 (log.f64 x))) 1))
(*.f64 (pow.f64 (/.f64 1 (sqrt.f64 (log.f64 x))) 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) (pow.f64 (cbrt.f64 (log.f64 x)) 2)) 1) (cbrt.f64 (/.f64 x (log.f64 x))))
(*.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 (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 (*.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)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 x) x)) 2) -1) (cbrt.f64 (/.f64 x (log.f64 x))))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) -1) (pow.f64 (/.f64 (log.f64 x) (cbrt.f64 x)) -1))
(*.f64 (pow.f64 (/.f64 1 (sqrt.f64 x)) -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) (pow.f64 (/.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 x)) -1))
(*.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 (/.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 x)) -1) (pow.f64 (/.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 x)) -1))
(pow.f64 (/.f64 x (log.f64 x)) 1)
(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 (sqrt.f64 (/.f64 x (log.f64 x))) 2)
(pow.f64 (/.f64 (log.f64 x) x) -1)
(pow.f64 (exp.f64 1) (log.f64 (/.f64 x (log.f64 x))))
(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 (/.f64 (/.f64 (log.f64 x) x) 1) -1)
(pow.f64 (pow.f64 (exp.f64 1) 1) (log.f64 (/.f64 x (log.f64 x))))
(pow.f64 (pow.f64 (exp.f64 1) (cbrt.f64 (log.f64 (/.f64 x (log.f64 x))))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2))
(pow.f64 (pow.f64 (exp.f64 1) (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2)) (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))))
(pow.f64 (pow.f64 (exp.f64 1) (sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))) (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2)) 1) (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2))) (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))))) (cbrt.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x))))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2)) (sqrt.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))))) (sqrt.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))) 1) (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))) (cbrt.f64 (log.f64 (/.f64 x (log.f64 x))))) (cbrt.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2))) (sqrt.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))) (sqrt.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))))) (sqrt.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))))
(neg.f64 (/.f64 x (neg.f64 (log.f64 x))))
(neg.f64 (/.f64 (neg.f64 x) (log.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 x (log.f64 x)) 2))
(log.f64 (exp.f64 (/.f64 x (log.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (log.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 x (log.f64 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 x (log.f64 x))))
(log1p.f64 (expm1.f64 (/.f64 x (log.f64 x))))
(exp.f64 (log.f64 (/.f64 x (log.f64 x))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 x (log.f64 x)))) 3))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 x (log.f64 x))) 3) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 x (log.f64 x)))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 x) x)) -1))
(exp.f64 (*.f64 (log.f64 (exp.f64 1)) (log.f64 (/.f64 x (log.f64 x)))))
(fma.f64 1 (+.f64 (/.f64 x (log.f64 x)) -1) 1)
(fma.f64 1 (+.f64 (/.f64 x (log.f64 x)) 1) -1)
(fma.f64 (+.f64 (/.f64 x (log.f64 x)) -1) 1 1)
(fma.f64 (cbrt.f64 (+.f64 (/.f64 x (log.f64 x)) -1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 x (log.f64 x)) -1)) 2) 1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 x (log.f64 x)) -1)) 2) (cbrt.f64 (+.f64 (/.f64 x (log.f64 x)) -1)) 1)
(fma.f64 (sqrt.f64 (+.f64 (/.f64 x (log.f64 x)) -1)) (sqrt.f64 (+.f64 (/.f64 x (log.f64 x)) -1)) 1)
(fma.f64 (+.f64 (pow.f64 (/.f64 x (log.f64 x)) 3) -1) (/.f64 1 (+.f64 (pow.f64 (/.f64 x (log.f64 x)) 2) (+.f64 (/.f64 x (log.f64 x)) 1))) 1)
(fma.f64 (+.f64 (pow.f64 (/.f64 x (log.f64 x)) 2) -1) (/.f64 1 (+.f64 (/.f64 x (log.f64 x)) 1)) 1)
(fma.f64 (+.f64 (/.f64 x (log.f64 x)) 1) 1 -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 x (log.f64 x)) 1)) 2) (cbrt.f64 (+.f64 (/.f64 x (log.f64 x)) 1)) -1)
(fma.f64 (sqrt.f64 (+.f64 (/.f64 x (log.f64 x)) 1)) (sqrt.f64 (+.f64 (/.f64 x (log.f64 x)) 1)) -1)
(fma.f64 (+.f64 (sqrt.f64 (/.f64 x (log.f64 x))) 1) (-.f64 (sqrt.f64 (/.f64 x (log.f64 x))) 1) 1)
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))
(+.f64 (log.f64 (/.f64 x (log.f64 x))) 0)
(+.f64 (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 (log.f64 x))))
(+.f64 0 (log.f64 (/.f64 x (log.f64 x))))
(+.f64 (neg.f64 (log.f64 (log.f64 x))) (log.f64 x))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (/.f64 x (log.f64 x))))) (log.f64 (cbrt.f64 (/.f64 x (log.f64 x)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (/.f64 x (log.f64 x))))) (log.f64 (*.f64 (cbrt.f64 (/.f64 x (log.f64 x))) 1)))
(+.f64 (log.f64 (cbrt.f64 (/.f64 x (log.f64 x)))) (*.f64 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 (sqrt.f64 (/.f64 x (log.f64 x)))) (log.f64 (*.f64 (sqrt.f64 (/.f64 x (log.f64 x))) 1)))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 x))) (log.f64 (/.f64 (cbrt.f64 x) (log.f64 x))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 x))) (log.f64 (*.f64 (cbrt.f64 x) (/.f64 1 (log.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 x)) (log.f64 (/.f64 (sqrt.f64 x) (log.f64 x))))
(+.f64 (log.f64 (sqrt.f64 x)) (log.f64 (*.f64 (sqrt.f64 x) (/.f64 1 (log.f64 x)))))
(+.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 1 (neg.f64 (log.f64 x)))))
(+.f64 (fma.f64 (log.f64 x) 1 (neg.f64 (*.f64 (log.f64 (log.f64 x)) 1))) (fma.f64 (neg.f64 (log.f64 (log.f64 x))) 1 (*.f64 (log.f64 (log.f64 x)) 1)))
(+.f64 (fma.f64 (log.f64 x) 1 (neg.f64 (*.f64 (cbrt.f64 (log.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.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) (*.f64 (cbrt.f64 (log.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) 2))))
(+.f64 (fma.f64 1 (log.f64 x) (neg.f64 (*.f64 (log.f64 (log.f64 x)) 1))) (fma.f64 (neg.f64 (log.f64 (log.f64 x))) 1 (*.f64 (log.f64 (log.f64 x)) 1)))
(+.f64 (fma.f64 1 (log.f64 x) (neg.f64 (*.f64 (cbrt.f64 (log.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.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) (*.f64 (cbrt.f64 (log.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) 2))))
(+.f64 (fma.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (neg.f64 (*.f64 (log.f64 (log.f64 x)) 1))) (fma.f64 (neg.f64 (log.f64 (log.f64 x))) 1 (*.f64 (log.f64 (log.f64 x)) 1)))
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(neg.f64 (/.f64 x (neg.f64 (log.f64 x))))
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(sqrt.f64 (pow.f64 (/.f64 x (log.f64 x)) 2))
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(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 x (log.f64 x))) 3) 1/3))
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(fma.f64 1 (+.f64 (/.f64 x (log.f64 x)) -1) 1)
(fma.f64 1 (+.f64 (/.f64 x (log.f64 x)) 1) -1)
(fma.f64 (+.f64 (/.f64 x (log.f64 x)) -1) 1 1)
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(fma.f64 (sqrt.f64 (+.f64 (/.f64 x (log.f64 x)) -1)) (sqrt.f64 (+.f64 (/.f64 x (log.f64 x)) -1)) 1)
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(fma.f64 (+.f64 (pow.f64 (/.f64 x (log.f64 x)) 2) -1) (/.f64 1 (+.f64 (/.f64 x (log.f64 x)) 1)) 1)
(fma.f64 (+.f64 (/.f64 x (log.f64 x)) 1) 1 -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 x (log.f64 x)) 1)) 2) (cbrt.f64 (+.f64 (/.f64 x (log.f64 x)) 1)) -1)
(fma.f64 (sqrt.f64 (+.f64 (/.f64 x (log.f64 x)) 1)) (sqrt.f64 (+.f64 (/.f64 x (log.f64 x)) 1)) -1)
(fma.f64 (+.f64 (sqrt.f64 (/.f64 x (log.f64 x))) 1) (-.f64 (sqrt.f64 (/.f64 x (log.f64 x))) 1) 1)
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(+.f64 (log.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 x)) 2))) (log.f64 (/.f64 x (cbrt.f64 (log.f64 x)))))
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(+.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 x) (log.f64 (log.f64 x)))
(-.f64 0 (log.f64 (/.f64 (log.f64 x) x)))
(-.f64 0 (log.f64 (/.f64 (/.f64 (log.f64 x) x) 1)))
(-.f64 (log1p.f64 (pow.f64 (+.f64 (/.f64 x (log.f64 x)) -1) 3)) (log.f64 (+.f64 1 (-.f64 (pow.f64 (+.f64 (/.f64 x (log.f64 x)) -1) 2) (+.f64 (/.f64 x (log.f64 x)) -1)))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 x (log.f64 x))))) 1)
(-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 (log.f64 x))))
(-.f64 (log.f64 -1) (log.f64 (neg.f64 (/.f64 (log.f64 x) x))))
(-.f64 (log.f64 (/.f64 x (sqrt.f64 (log.f64 x)))) (log.f64 (sqrt.f64 (log.f64 x))))
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(-.f64 (log.f64 (neg.f64 (neg.f64 x))) (log.f64 (neg.f64 (neg.f64 (log.f64 x)))))
(-.f64 (log.f64 (-.f64 1 (pow.f64 (+.f64 (/.f64 x (log.f64 x)) -1) 2))) (log.f64 (-.f64 1 (+.f64 (/.f64 x (log.f64 x)) -1))))
(-.f64 (log.f64 (/.f64 x 1)) (log.f64 (log.f64 x)))
(-.f64 (log.f64 (/.f64 x (pow.f64 (cbrt.f64 (log.f64 x)) 2))) (log.f64 (cbrt.f64 (log.f64 x))))
(*.f64 (log.f64 (/.f64 x (log.f64 x))) 1)
(*.f64 (log.f64 (/.f64 x (log.f64 x))) (log.f64 (exp.f64 1)))
(*.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 3 (log.f64 (cbrt.f64 (/.f64 x (log.f64 x)))))
(*.f64 -1 (log.f64 (/.f64 (log.f64 x) x)))
(*.f64 2 (log.f64 (sqrt.f64 (/.f64 x (log.f64 x)))))
(*.f64 1/3 (*.f64 (log.f64 (/.f64 x (log.f64 x))) 3))
(*.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 (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (log.f64 x)) 3)) (+.f64 (pow.f64 (log.f64 x) 2) (+.f64 (pow.f64 (log.f64 (log.f64 x)) 2) (*.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)) (log.f64 (*.f64 x (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)
(neg.f64 (log.f64 (/.f64 (log.f64 x) x)))
(neg.f64 (log.f64 (/.f64 (/.f64 (log.f64 x) x) 1)))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 2))
(log.f64 (/.f64 x (log.f64 x)))
(log.f64 (*.f64 (+.f64 1 (-.f64 x 1)) (/.f64 1 (log.f64 x))))
(log.f64 (/.f64 (+.f64 1 (-.f64 x 1)) (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 (log.f64 (/.f64 x (log.f64 x)))) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (/.f64 x (log.f64 x))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 (/.f64 x (log.f64 x)))) 1) 1))
(fma.f64 (log.f64 x) 1 (neg.f64 (log.f64 (log.f64 x))))
(fma.f64 1 (log.f64 x) (neg.f64 (log.f64 (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 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (cbrt.f64 (log.f64 x)) (neg.f64 (log.f64 (log.f64 x))))
(fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) (neg.f64 (log.f64 (log.f64 x))))

simplify194.0ms (5.5%)

Algorithm
1×egg-herbie
Rules
1260×fma-neg
960×log-prod
792×sqr-pow
528×exp-prod
484×cube-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
051912982
1124112542
2430112458
Stop Event
1×node limit
Counts
438 → 256
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 x (log.f64 (/.f64 1 x))))
(*.f64 -1 (/.f64 x (log.f64 (/.f64 1 x))))
(*.f64 -1 (/.f64 x (log.f64 (/.f64 1 x))))
(*.f64 -1 (/.f64 x (log.f64 (/.f64 1 x))))
(/.f64 x (+.f64 (log.f64 -1) (*.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) (*.f64 -1 (log.f64 (/.f64 -1 x)))))
(/.f64 x (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))
(+.f64 (log.f64 x) (log.f64 (/.f64 1 (log.f64 x))))
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(neg.f64 (/.f64 x (neg.f64 (log.f64 x))))
(neg.f64 (/.f64 (neg.f64 x) (log.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 x (log.f64 x)) 2))
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(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (log.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 x (log.f64 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 x (log.f64 x))))
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(fma.f64 (+.f64 (/.f64 x (log.f64 x)) -1) 1 1)
(fma.f64 (cbrt.f64 (+.f64 (/.f64 x (log.f64 x)) -1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 x (log.f64 x)) -1)) 2) 1)
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(fma.f64 (+.f64 (pow.f64 (/.f64 x (log.f64 x)) 2) -1) (/.f64 1 (+.f64 (/.f64 x (log.f64 x)) 1)) 1)
(fma.f64 (+.f64 (/.f64 x (log.f64 x)) 1) 1 -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 x (log.f64 x)) 1)) 2) (cbrt.f64 (+.f64 (/.f64 x (log.f64 x)) 1)) -1)
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(+.f64 (fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) (neg.f64 (*.f64 (log.f64 (log.f64 x)) 1))) (fma.f64 (neg.f64 (log.f64 (log.f64 x))) 1 (*.f64 (log.f64 (log.f64 x)) 1)))
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(+.f64 (log.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 x)) 2))) (log.f64 (/.f64 x (cbrt.f64 (log.f64 x)))))
(+.f64 (log.f64 (/.f64 1 (sqrt.f64 (log.f64 x)))) (log.f64 (/.f64 x (sqrt.f64 (log.f64 x)))))
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(+.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 x) (log.f64 (log.f64 x)))
(-.f64 0 (log.f64 (/.f64 (log.f64 x) x)))
(-.f64 0 (log.f64 (/.f64 (/.f64 (log.f64 x) x) 1)))
(-.f64 (log1p.f64 (pow.f64 (+.f64 (/.f64 x (log.f64 x)) -1) 3)) (log.f64 (+.f64 1 (-.f64 (pow.f64 (+.f64 (/.f64 x (log.f64 x)) -1) 2) (+.f64 (/.f64 x (log.f64 x)) -1)))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 x (log.f64 x))))) 1)
(-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 (log.f64 x))))
(-.f64 (log.f64 -1) (log.f64 (neg.f64 (/.f64 (log.f64 x) x))))
(-.f64 (log.f64 (/.f64 x (sqrt.f64 (log.f64 x)))) (log.f64 (sqrt.f64 (log.f64 x))))
(-.f64 (log.f64 (*.f64 (neg.f64 x) 1)) (log.f64 (neg.f64 (log.f64 x))))
(-.f64 (log.f64 (neg.f64 (neg.f64 x))) (log.f64 (neg.f64 (neg.f64 (log.f64 x)))))
(-.f64 (log.f64 (-.f64 1 (pow.f64 (+.f64 (/.f64 x (log.f64 x)) -1) 2))) (log.f64 (-.f64 1 (+.f64 (/.f64 x (log.f64 x)) -1))))
(-.f64 (log.f64 (/.f64 x 1)) (log.f64 (log.f64 x)))
(-.f64 (log.f64 (/.f64 x (pow.f64 (cbrt.f64 (log.f64 x)) 2))) (log.f64 (cbrt.f64 (log.f64 x))))
(*.f64 (log.f64 (/.f64 x (log.f64 x))) 1)
(*.f64 (log.f64 (/.f64 x (log.f64 x))) (log.f64 (exp.f64 1)))
(*.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 3 (log.f64 (cbrt.f64 (/.f64 x (log.f64 x)))))
(*.f64 -1 (log.f64 (/.f64 (log.f64 x) x)))
(*.f64 2 (log.f64 (sqrt.f64 (/.f64 x (log.f64 x)))))
(*.f64 1/3 (*.f64 (log.f64 (/.f64 x (log.f64 x))) 3))
(*.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 (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (log.f64 x)) 3)) (+.f64 (pow.f64 (log.f64 x) 2) (+.f64 (pow.f64 (log.f64 (log.f64 x)) 2) (*.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)) (log.f64 (*.f64 x (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)
(neg.f64 (log.f64 (/.f64 (log.f64 x) x)))
(neg.f64 (log.f64 (/.f64 (/.f64 (log.f64 x) x) 1)))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 2))
(log.f64 (/.f64 x (log.f64 x)))
(log.f64 (*.f64 (+.f64 1 (-.f64 x 1)) (/.f64 1 (log.f64 x))))
(log.f64 (/.f64 (+.f64 1 (-.f64 x 1)) (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 (log.f64 (/.f64 x (log.f64 x)))) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (/.f64 x (log.f64 x))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 (/.f64 x (log.f64 x)))) 1) 1))
(fma.f64 (log.f64 x) 1 (neg.f64 (log.f64 (log.f64 x))))
(fma.f64 1 (log.f64 x) (neg.f64 (log.f64 (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 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (cbrt.f64 (log.f64 x)) (neg.f64 (log.f64 (log.f64 x))))
(fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) (neg.f64 (log.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))
(*.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))
(/.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)))))
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(/.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 (log.f64 x) (log.f64 (/.f64 1 (log.f64 x))))
(log.f64 (/.f64 x (log.f64 x)))
(+.f64 (log.f64 x) (log.f64 (/.f64 1 (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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(log.f64 (/.f64 x (log.f64 x)))
(+.f64 (log.f64 (/.f64 -1 (log.f64 (/.f64 1 x)))) (*.f64 -1 (log.f64 (/.f64 1 x))))
(log.f64 (/.f64 x (log.f64 x)))
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(log.f64 (/.f64 x (log.f64 x)))
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(+.f64 (log.f64 (/.f64 -1 (log.f64 (/.f64 1 x)))) (*.f64 -1 (log.f64 (/.f64 1 x))))
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(*.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 3/2)) (cbrt.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 3/2)))
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(*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x))))) (cbrt.f64 (pow.f64 (*.f64 (log.f64 (/.f64 x (log.f64 x))) (cbrt.f64 (log.f64 (/.f64 x (log.f64 x))))) 2)))
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(*.f64 (cbrt.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))) (cbrt.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 5/2)))
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(/.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 (log.f64 x)) 2)) (log.f64 (*.f64 x (log.f64 x))))
(pow.f64 (log.f64 (/.f64 x (log.f64 x))) 1)
(log.f64 (/.f64 x (log.f64 x)))
(pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 3)
(log.f64 (/.f64 x (log.f64 x)))
(pow.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 2) 1/2)
(log.f64 (/.f64 x (log.f64 x)))
(pow.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 3) 1/3)
(log.f64 (/.f64 x (log.f64 x)))
(pow.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2)
(log.f64 (/.f64 x (log.f64 x)))
(neg.f64 (log.f64 (/.f64 (log.f64 x) x)))
(log.f64 (/.f64 x (log.f64 x)))
(neg.f64 (log.f64 (/.f64 (/.f64 (log.f64 x) x) 1)))
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(log.f64 (/.f64 x (log.f64 x)))
(log.f64 (*.f64 (+.f64 1 (-.f64 x 1)) (/.f64 1 (log.f64 x))))
(log.f64 (/.f64 x (log.f64 x)))
(log.f64 (/.f64 (+.f64 1 (-.f64 x 1)) (log.f64 x)))
(log.f64 (/.f64 x (log.f64 x)))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 3))
(log.f64 (/.f64 x (log.f64 x)))
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(exp.f64 (log.f64 (log.f64 (/.f64 x (log.f64 x)))))
(log.f64 (/.f64 x (log.f64 x)))
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(log.f64 (/.f64 x (log.f64 x)))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (/.f64 x (log.f64 x))))) 1/3))
(log.f64 (/.f64 x (log.f64 x)))
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(log.f64 (/.f64 x (log.f64 x)))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 (/.f64 x (log.f64 x)))) 1) 1))
(log.f64 (/.f64 x (log.f64 x)))
(fma.f64 (log.f64 x) 1 (neg.f64 (log.f64 (log.f64 x))))
(log.f64 (/.f64 x (log.f64 x)))
(fma.f64 1 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))
(log.f64 (/.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))))
(log.f64 (/.f64 x (log.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (cbrt.f64 (log.f64 x)) (neg.f64 (log.f64 (log.f64 x))))
(log.f64 (/.f64 x (log.f64 x)))
(fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) (neg.f64 (log.f64 (log.f64 x))))
(log.f64 (/.f64 x (log.f64 x)))

eval203.0ms (5.7%)

Compiler

Compiled 6326 to 2826 computations (55.3% saved)

prune52.0ms (1.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New4050405
Fresh000
Picked022
Done000
Total4052407
Accuracy
100.0%
Counts
407 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(log1p.f64 (-.f64 (/.f64 x (log.f64 x)) 1))
✓100.0%
(log.f64 (/.f64 x (log.f64 x)))
Compiler

Compiled 33 to 19 computations (42.4% saved)

regimes12.0ms (0.3%)

Counts
3 → 1
Calls
Call 1
Inputs
(log.f64 (/.f64 x (log.f64 x)))
(log1p.f64 (-.f64 (/.f64 x (log.f64 x)) 1))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
Outputs
(log1p.f64 (-.f64 (/.f64 x (log.f64 x)) 1))
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)

regimes3.0ms (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:

3.0ms
x
Results
AccuracySegmentsBranch
100.0%1x
Compiler

Compiled 2 to 1 computations (50% saved)

simplify3.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
4×unsub-neg
4×sub-neg
4×neg-mul-1
4×+-commutative
3×1-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01248
11948
22348
32648
42948
53248
Stop Event
1×done
1×saturated
Calls
Call 1
Inputs
(log1p.f64 (-.f64 (/.f64 x (log.f64 x)) 1))
(log.f64 (/.f64 x (log.f64 x)))
Outputs
(log1p.f64 (-.f64 (/.f64 x (log.f64 x)) 1))
(log1p.f64 (+.f64 (/.f64 x (log.f64 x)) -1))
(log.f64 (/.f64 x (log.f64 x)))
Compiler

Compiled 14 to 10 computations (28.6% saved)

soundness243.0ms (6.9%)

Rules
1016×unswap-sqr
958×fma-neg
804×distribute-lft-in
770×unpow-prod-down
760×cancel-sign-sub-inv
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0933
19133
2122933
03316882
17554893
222784835
Stop Event
1×node limit
1×node limit
Compiler

Compiled 119 to 72 computations (39.5% saved)

end0.0ms (0%)

preprocess78.0ms (2.2%)

Compiler

Compiled 40 to 22 computations (45% saved)

Profiling

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