Jmat.Real.lambertw, estimator

Details

Time bar (total: 3.8s)

analyze2.0ms (0%)

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)

sample1.0s (26.9%)

Results
1.0s8256×body256valid
1.0ms9×body256invalid
Bogosity

preprocess219.0ms (5.8%)

Algorithm
2×egg-herbie
Rules
3002×fma-neg
2116×fma-def
1938×unsub-neg
1212×associate-+r+
716×associate-+l+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0719
1919
21419
32219
43119
54819
68619
712719
820619
939919
1084019
11222319
12443519
13498419
14512719
15517519
16518519
17518519
18629719
19630519
20635719
21635719
22749319
011
Stop Event
1×saturated
1×node limit
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
Outputs
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
Compiler

Compiled 8 to 5 computations (37.5% saved)

simplify213.0ms (5.6%)

Algorithm
1×egg-herbie
Rules
3002×fma-neg
2116×fma-def
1938×unsub-neg
1212×associate-+r+
716×associate-+l+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0719
1919
21419
32219
43119
54819
68619
712719
820619
939919
1084019
11222319
12443519
13498419
14512719
15517519
16518519
17518519
18629719
19630519
20635719
21635719
22749319
Stop Event
1×node limit
Counts
1 → 1
Calls
Call 1
Inputs
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
Outputs
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))

eval0.0ms (0%)

Compiler

Compiled 7 to 4 computations (42.9% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Accurracy
99.6%
Counts
2 → 1
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)

localize28.0ms (0.7%)

Local Accuracy

Found 2 expressions with local accuracy:

NewAccuracyProgram
✓99.9%
(log.f64 (log.f64 x))
✓99.6%
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
Compiler

Compiled 14 to 5 computations (64.3% saved)

series181.0ms (4.8%)

Counts
2 → 16
Calls

6 calls:

TimeVariablePointExpression
88.0ms
x
@-inf
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
72.0ms
x
@0
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
21.0ms
x
@inf
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
0.0ms
x
@0
(log.f64 (log.f64 x))
0.0ms
x
@-inf
(log.f64 (log.f64 x))

rewrite63.0ms (1.7%)

Algorithm
1×batch-egg-rewrite
Rules
1550×pow1
1434×add-exp-log
1434×log1p-expm1-u
1434×expm1-log1p-u
1396×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0724
114324
2192124
Stop Event
1×node limit
Counts
2 → 53
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))) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 (log.f64 x)))) (sqrt.f64 (log.f64 (log.f64 x))) (log.f64 (log.f64 x))))
(+.f64 (neg.f64 (log.f64 (log.f64 x))) (log.f64 x))
(*.f64 (log.f64 (/.f64 x (log.f64 x))) 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 (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (log.f64 x)) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 (log.f64 x)) (log.f64 (*.f64 x (log.f64 x)))))))
(*.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 (log.f64 x)) 2)) (/.f64 1 (log.f64 (*.f64 x (log.f64 x)))))
(*.f64 (+.f64 (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 1 (/.f64 (+.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 (log.f64 x)) (log.f64 (*.f64 x (log.f64 x))))) (-.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)) (+.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 (log.f64 x)) (log.f64 (*.f64 x (log.f64 x))))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 (log.f64 x)) 2)) (log.f64 (*.f64 x (log.f64 x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (log.f64 x)) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 (log.f64 x)) (log.f64 (*.f64 x (log.f64 x)))))))
(/.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 (*.f64 (neg.f64 (log.f64 (log.f64 x))) (neg.f64 (log.f64 (log.f64 x)))) (*.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) 2) (*.f64 (neg.f64 (log.f64 (log.f64 x))) (neg.f64 (log.f64 (log.f64 x))))) (-.f64 (log.f64 x) (neg.f64 (log.f64 (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))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 2))
(log.f64 (/.f64 x (log.f64 x)))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 x (log.f64 x)))))
(exp.f64 (log.f64 (log.f64 (/.f64 x (log.f64 x)))))
(log1p.f64 (-.f64 (/.f64 x (log.f64 x)) 1))
(fma.f64 1 (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)) (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))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (log.f64 (cbrt.f64 (log.f64 x))))
(+.f64 0 (log.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 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))))
(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)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (log.f64 x))) 2)
(sqrt.f64 (pow.f64 (log.f64 (log.f64 x)) 2))
(cbrt.f64 (pow.f64 (log.f64 (log.f64 x)) 3))
(expm1.f64 (log1p.f64 (log.f64 (log.f64 x))))
(exp.f64 (log.f64 (log.f64 (log.f64 x))))
(log1p.f64 (-.f64 (log.f64 x) 1))

simplify82.0ms (2.1%)

Algorithm
1×egg-herbie
Rules
1670×fma-def
1224×hypot-def
766×log-prod
628×unswap-sqr
520×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01352421
13121589
212161589
373601589
Stop Event
1×node limit
Counts
69 → 71
Calls
Call 1
Inputs
(-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (*.f64 -1 (log.f64 (/.f64 1 x)))))
(-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (*.f64 -1 (log.f64 (/.f64 1 x)))))
(-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (*.f64 -1 (log.f64 (/.f64 1 x)))))
(-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (*.f64 -1 (log.f64 (/.f64 1 x)))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (log.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (log.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (log.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (log.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(log.f64 (*.f64 -1 (log.f64 (/.f64 1 x))))
(log.f64 (*.f64 -1 (log.f64 (/.f64 1 x))))
(log.f64 (*.f64 -1 (log.f64 (/.f64 1 x))))
(log.f64 (*.f64 -1 (log.f64 (/.f64 1 x))))
(log.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(log.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(log.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(log.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(+.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))) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 (log.f64 x)))) (sqrt.f64 (log.f64 (log.f64 x))) (log.f64 (log.f64 x))))
(+.f64 (neg.f64 (log.f64 (log.f64 x))) (log.f64 x))
(*.f64 (log.f64 (/.f64 x (log.f64 x))) 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 (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (log.f64 x)) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 (log.f64 x)) (log.f64 (*.f64 x (log.f64 x)))))))
(*.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 (log.f64 x)) 2)) (/.f64 1 (log.f64 (*.f64 x (log.f64 x)))))
(*.f64 (+.f64 (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 1 (/.f64 (+.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 (log.f64 x)) (log.f64 (*.f64 x (log.f64 x))))) (-.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)) (+.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 (log.f64 x)) (log.f64 (*.f64 x (log.f64 x))))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 (log.f64 x)) 2)) (log.f64 (*.f64 x (log.f64 x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (log.f64 x)) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 (log.f64 x)) (log.f64 (*.f64 x (log.f64 x)))))))
(/.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 (*.f64 (neg.f64 (log.f64 (log.f64 x))) (neg.f64 (log.f64 (log.f64 x)))) (*.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) 2) (*.f64 (neg.f64 (log.f64 (log.f64 x))) (neg.f64 (log.f64 (log.f64 x))))) (-.f64 (log.f64 x) (neg.f64 (log.f64 (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))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 2))
(log.f64 (/.f64 x (log.f64 x)))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 x (log.f64 x)))))
(exp.f64 (log.f64 (log.f64 (/.f64 x (log.f64 x)))))
(log1p.f64 (-.f64 (/.f64 x (log.f64 x)) 1))
(fma.f64 1 (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)) (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))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (log.f64 (cbrt.f64 (log.f64 x))))
(+.f64 0 (log.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 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))))
(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)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (log.f64 x))) 2)
(sqrt.f64 (pow.f64 (log.f64 (log.f64 x)) 2))
(cbrt.f64 (pow.f64 (log.f64 (log.f64 x)) 3))
(expm1.f64 (log1p.f64 (log.f64 (log.f64 x))))
(exp.f64 (log.f64 (log.f64 (log.f64 x))))
(log1p.f64 (-.f64 (log.f64 x) 1))
Outputs
(-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (*.f64 -1 (log.f64 (/.f64 1 x)))))
(-.f64 (neg.f64 (neg.f64 (log.f64 x))) (log.f64 (neg.f64 (neg.f64 (log.f64 x)))))
(log.f64 (/.f64 x (log.f64 x)))
(-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (*.f64 -1 (log.f64 (/.f64 1 x)))))
(-.f64 (neg.f64 (neg.f64 (log.f64 x))) (log.f64 (neg.f64 (neg.f64 (log.f64 x)))))
(log.f64 (/.f64 x (log.f64 x)))
(-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (*.f64 -1 (log.f64 (/.f64 1 x)))))
(-.f64 (neg.f64 (neg.f64 (log.f64 x))) (log.f64 (neg.f64 (neg.f64 (log.f64 x)))))
(log.f64 (/.f64 x (log.f64 x)))
(-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (*.f64 -1 (log.f64 (/.f64 1 x)))))
(-.f64 (neg.f64 (neg.f64 (log.f64 x))) (log.f64 (neg.f64 (neg.f64 (log.f64 x)))))
(log.f64 (/.f64 x (log.f64 x)))
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eval14.0ms (0.4%)

Compiler

Compiled 904 to 376 computations (58.4% saved)

prune10.0ms (0.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New69271
Fresh000
Picked011
Done000
Total69372
Accurracy
100.0%
Counts
72 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶98.1%
(pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 3)
✓99.6%
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
▶100.0%
(log.f64 (/.f64 x (log.f64 x)))
Compiler

Compiled 22 to 15 computations (31.8% saved)

localize31.0ms (0.8%)

Local Accuracy

Found 1 expressions with local accuracy:

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

Compiled 14 to 5 computations (64.3% saved)

series14.0ms (0.4%)

Counts
1 → 8
Calls

3 calls:

TimeVariablePointExpression
10.0ms
x
@inf
(/.f64 x (log.f64 x))
4.0ms
x
@-inf
(/.f64 x (log.f64 x))
0.0ms
x
@0
(/.f64 x (log.f64 x))

rewrite53.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
1228×pow1
1128×add-exp-log
1128×log1p-expm1-u
1128×expm1-log1p-u
1098×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0611
111911
2152411
Stop Event
1×node limit
Counts
1 → 30
Calls
Call 1
Inputs
(/.f64 x (log.f64 x))
Outputs
(-.f64 (+.f64 1 (/.f64 x (log.f64 x))) 1)
(*.f64 x (/.f64 1 (log.f64 x)))
(*.f64 (/.f64 x (log.f64 x)) 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 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (log.f64 x))))
(*.f64 (sqrt.f64 (/.f64 x (log.f64 x))) (sqrt.f64 (/.f64 x (log.f64 x))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (log.f64 x))))
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (log.f64 x))))
(*.f64 (/.f64 1 (log.f64 x)) x)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (/.f64 x (cbrt.f64 (log.f64 x))))
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 x))) (/.f64 x (sqrt.f64 (log.f64 x))))
(*.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))))
(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)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 x (log.f64 x))) 2)
(pow.f64 (/.f64 (log.f64 x) x) -1)
(neg.f64 (/.f64 x (neg.f64 (log.f64 x))))
(sqrt.f64 (pow.f64 (/.f64 x (log.f64 x)) 2))
(log.f64 (exp.f64 (/.f64 x (log.f64 x))))
(cbrt.f64 (pow.f64 (/.f64 x (log.f64 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 x (log.f64 x))))
(exp.f64 (log.f64 (/.f64 x (log.f64 x))))
(log1p.f64 (expm1.f64 (/.f64 x (log.f64 x))))

simplify86.0ms (2.3%)

Algorithm
1×egg-herbie
Rules
1318×log-prod
1138×fma-def
994×associate-*r*
916×associate-*l*
480×log-div
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
088754
1204458
2632458
34454458
Stop Event
1×node limit
Counts
38 → 35
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 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(/.f64 x (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(/.f64 x (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(/.f64 x (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(-.f64 (+.f64 1 (/.f64 x (log.f64 x))) 1)
(*.f64 x (/.f64 1 (log.f64 x)))
(*.f64 (/.f64 x (log.f64 x)) 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 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (log.f64 x))))
(*.f64 (sqrt.f64 (/.f64 x (log.f64 x))) (sqrt.f64 (/.f64 x (log.f64 x))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (log.f64 x))))
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (log.f64 x))))
(*.f64 (/.f64 1 (log.f64 x)) x)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (/.f64 x (cbrt.f64 (log.f64 x))))
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 x))) (/.f64 x (sqrt.f64 (log.f64 x))))
(*.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))))
(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)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 x (log.f64 x))) 2)
(pow.f64 (/.f64 (log.f64 x) x) -1)
(neg.f64 (/.f64 x (neg.f64 (log.f64 x))))
(sqrt.f64 (pow.f64 (/.f64 x (log.f64 x)) 2))
(log.f64 (exp.f64 (/.f64 x (log.f64 x))))
(cbrt.f64 (pow.f64 (/.f64 x (log.f64 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 x (log.f64 x))))
(exp.f64 (log.f64 (/.f64 x (log.f64 x))))
(log1p.f64 (expm1.f64 (/.f64 x (log.f64 x))))
Outputs
(*.f64 -1 (/.f64 x (log.f64 (/.f64 1 x))))
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x)))
(/.f64 x (log.f64 x))
(*.f64 -1 (/.f64 x (log.f64 (/.f64 1 x))))
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x)))
(/.f64 x (log.f64 x))
(*.f64 -1 (/.f64 x (log.f64 (/.f64 1 x))))
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x)))
(/.f64 x (log.f64 x))
(*.f64 -1 (/.f64 x (log.f64 (/.f64 1 x))))
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x)))
(/.f64 x (log.f64 x))
(/.f64 x (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x)))
(/.f64 x (log.f64 x))
(/.f64 x (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x)))
(/.f64 x (log.f64 x))
(/.f64 x (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x)))
(/.f64 x (log.f64 x))
(/.f64 x (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x)))
(/.f64 x (log.f64 x))
(-.f64 (+.f64 1 (/.f64 x (log.f64 x))) 1)
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x)))
(/.f64 x (log.f64 x))
(*.f64 x (/.f64 1 (log.f64 x)))
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x)))
(/.f64 x (log.f64 x))
(*.f64 (/.f64 x (log.f64 x)) 1)
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x)))
(/.f64 x (log.f64 x))
(*.f64 1 (/.f64 x (log.f64 x)))
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x)))
(/.f64 x (log.f64 x))
(*.f64 (cbrt.f64 (/.f64 x (log.f64 x))) (pow.f64 (cbrt.f64 (/.f64 x (log.f64 x))) 2))
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x)))
(/.f64 x (log.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (log.f64 x))) 2) (cbrt.f64 (/.f64 x (log.f64 x))))
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x)))
(/.f64 x (log.f64 x))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (log.f64 x))))
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x)))
(/.f64 x (log.f64 x))
(*.f64 (sqrt.f64 (/.f64 x (log.f64 x))) (sqrt.f64 (/.f64 x (log.f64 x))))
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x)))
(/.f64 x (log.f64 x))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (log.f64 x))))
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x)))
(/.f64 x (log.f64 x))
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (log.f64 x))))
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x)))
(/.f64 x (log.f64 x))
(*.f64 (/.f64 1 (log.f64 x)) x)
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x)))
(/.f64 x (log.f64 x))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (/.f64 x (cbrt.f64 (log.f64 x))))
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x)))
(/.f64 x (log.f64 x))
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 x))) (/.f64 x (sqrt.f64 (log.f64 x))))
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x)))
(/.f64 x (log.f64 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (log.f64 x)))
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x)))
(/.f64 x (log.f64 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (/.f64 x (log.f64 x))))
(*.f64 (cbrt.f64 (/.f64 x (log.f64 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (log.f64 x)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (log.f64 x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (log.f64 x))))
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x)))
(/.f64 x (log.f64 x))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (log.f64 x)))
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x)))
(/.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 (neg.f64 x) (neg.f64 (log.f64 x)))
(/.f64 x (log.f64 x))
(pow.f64 (/.f64 x (log.f64 x)) 1)
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x)))
(/.f64 x (log.f64 x))
(pow.f64 (cbrt.f64 (/.f64 x (log.f64 x))) 3)
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x)))
(/.f64 x (log.f64 x))
(pow.f64 (pow.f64 (/.f64 x (log.f64 x)) 3) 1/3)
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x)))
(/.f64 x (log.f64 x))
(pow.f64 (sqrt.f64 (/.f64 x (log.f64 x))) 2)
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x)))
(/.f64 x (log.f64 x))
(pow.f64 (/.f64 (log.f64 x) x) -1)
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x)))
(/.f64 x (log.f64 x))
(neg.f64 (/.f64 x (neg.f64 (log.f64 x))))
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x)))
(/.f64 x (log.f64 x))
(sqrt.f64 (pow.f64 (/.f64 x (log.f64 x)) 2))
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x)))
(/.f64 x (log.f64 x))
(log.f64 (exp.f64 (/.f64 x (log.f64 x))))
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x)))
(/.f64 x (log.f64 x))
(cbrt.f64 (pow.f64 (/.f64 x (log.f64 x)) 3))
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x)))
(/.f64 x (log.f64 x))
(expm1.f64 (log1p.f64 (/.f64 x (log.f64 x))))
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x)))
(/.f64 x (log.f64 x))
(exp.f64 (log.f64 (/.f64 x (log.f64 x))))
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x)))
(/.f64 x (log.f64 x))
(log1p.f64 (expm1.f64 (/.f64 x (log.f64 x))))
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x)))
(/.f64 x (log.f64 x))

localize40.0ms (1.1%)

Local Accuracy

Found 3 expressions with local accuracy:

NewAccuracyProgram
99.5%
(/.f64 x (log.f64 x))
✓99.3%
(cbrt.f64 (log.f64 (/.f64 x (log.f64 x))))
✓98.9%
(pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 3)
Compiler

Compiled 29 to 9 computations (69% saved)

series81.0ms (2.1%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
46.0ms
x
@inf
(pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 3)
19.0ms
x
@0
(pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 3)
16.0ms
x
@-inf
(pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 3)
0.0ms
x
@-inf
(cbrt.f64 (log.f64 (/.f64 x (log.f64 x))))
0.0ms
x
@0
(cbrt.f64 (log.f64 (/.f64 x (log.f64 x))))

rewrite65.0ms (1.7%)

Algorithm
1×batch-egg-rewrite
Rules
1720×pow1
1602×add-exp-log
1602×log1p-expm1-u
1602×expm1-log1p-u
1560×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01034
120334
2223534
Stop Event
1×node limit
Counts
2 → 51
Calls
Call 1
Inputs
(pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 3)
(cbrt.f64 (log.f64 (/.f64 x (log.f64 x))))
Outputs
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))
(+.f64 0 (log.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 (/.f64 x (log.f64 x))) 2)) (log.f64 (cbrt.f64 (/.f64 x (log.f64 x)))))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(-.f64 0 (log.f64 (/.f64 (log.f64 x) x)))
(-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 (log.f64 x))))
(-.f64 (+.f64 1 (log.f64 (/.f64 x (log.f64 x)))) 1)
(*.f64 (log.f64 (/.f64 x (log.f64 x))) 1)
(*.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2))
(*.f64 1 (log.f64 (/.f64 x (log.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x))))) 2) (*.f64 (cbrt.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 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 1/6) (*.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 1/6) (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2)))
(*.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))) (sqrt.f64 (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 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 1/6) 3) (pow.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 1/6) 3))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2) 1) (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))))
(*.f64 (*.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))))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2) (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 1/6)) (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 1/6))
(/.f64 (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (log.f64 x)) 3)) (+.f64 (pow.f64 (log.f64 x) 2) (+.f64 (*.f64 (log.f64 (log.f64 x)) (log.f64 (log.f64 x))) (*.f64 (log.f64 x) (log.f64 (log.f64 x))))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 (log.f64 x)) (log.f64 (log.f64 x)))) (+.f64 (log.f64 x) (log.f64 (log.f64 x))))
(neg.f64 (log.f64 (/.f64 (log.f64 x) x)))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 2))
(log.f64 (/.f64 x (log.f64 x)))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 x (log.f64 x)))))
(exp.f64 (log.f64 (log.f64 (/.f64 x (log.f64 x)))))
(log1p.f64 (-.f64 (/.f64 x (log.f64 x)) 1))
(fma.f64 1 (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)) (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))))
(-.f64 (+.f64 1 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x))))) 1)
(*.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 1)
(*.f64 1 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))))
(*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x))))) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x))))) 2))
(*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x))))) (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2) 1/3))
(*.f64 (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))))))
(*.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 1/6) (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 1/6))
(*.f64 (pow.f64 (pow.f64 (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 1 1/3) (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))))
(*.f64 (pow.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 1/3) (pow.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 1/3))
(pow.f64 (log.f64 (/.f64 x (log.f64 x))) 1/3)
(pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 1)
(pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x))))) 3)
(pow.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 1/6) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2))
(log.f64 (exp.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x))))))
(exp.f64 (log.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x))))))
(log1p.f64 (expm1.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x))))))

simplify70.0ms (1.8%)

Algorithm
1×egg-herbie
Rules
1078×fma-neg
1016×unswap-sqr
912×log-prod
788×cube-prod
754×fma-def
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01421449
13201421
28821421
340631401
Stop Event
1×node limit
Counts
75 → 69
Calls
Call 1
Inputs
(*.f64 (pow.f64 1 1/3) (+.f64 (log.f64 (/.f64 1 (log.f64 x))) (log.f64 x)))
(*.f64 (pow.f64 1 1/3) (+.f64 (log.f64 (/.f64 1 (log.f64 x))) (log.f64 x)))
(*.f64 (pow.f64 1 1/3) (+.f64 (log.f64 (/.f64 1 (log.f64 x))) (log.f64 x)))
(*.f64 (pow.f64 1 1/3) (+.f64 (log.f64 (/.f64 1 (log.f64 x))) (log.f64 x)))
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 -1 (log.f64 (/.f64 1 x))))) (pow.f64 1 1/3))
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 -1 (log.f64 (/.f64 1 x))))) (pow.f64 1 1/3))
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 -1 (log.f64 (/.f64 1 x))))) (pow.f64 1 1/3))
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 -1 (log.f64 (/.f64 1 x))))) (pow.f64 1 1/3))
(*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))
(*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))
(*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))
(*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))
(pow.f64 (+.f64 (log.f64 (/.f64 1 (log.f64 x))) (log.f64 x)) 1/3)
(pow.f64 (+.f64 (log.f64 (/.f64 1 (log.f64 x))) (log.f64 x)) 1/3)
(pow.f64 (+.f64 (log.f64 (/.f64 1 (log.f64 x))) (log.f64 x)) 1/3)
(pow.f64 (+.f64 (log.f64 (/.f64 1 (log.f64 x))) (log.f64 x)) 1/3)
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 -1 (log.f64 (/.f64 1 x))))) 1/3)
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 -1 (log.f64 (/.f64 1 x))))) 1/3)
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 -1 (log.f64 (/.f64 1 x))))) 1/3)
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 -1 (log.f64 (/.f64 1 x))))) 1/3)
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) 1/3)
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) 1/3)
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) 1/3)
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) 1/3)
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))
(+.f64 0 (log.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 (/.f64 x (log.f64 x))) 2)) (log.f64 (cbrt.f64 (/.f64 x (log.f64 x)))))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(-.f64 0 (log.f64 (/.f64 (log.f64 x) x)))
(-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 (log.f64 x))))
(-.f64 (+.f64 1 (log.f64 (/.f64 x (log.f64 x)))) 1)
(*.f64 (log.f64 (/.f64 x (log.f64 x))) 1)
(*.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2))
(*.f64 1 (log.f64 (/.f64 x (log.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x))))) 2) (*.f64 (cbrt.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 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 1/6) (*.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 1/6) (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2)))
(*.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))) (sqrt.f64 (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 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 1/6) 3) (pow.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 1/6) 3))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2) 1) (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))))
(*.f64 (*.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))))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2) (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 1/6)) (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 1/6))
(/.f64 (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (log.f64 x)) 3)) (+.f64 (pow.f64 (log.f64 x) 2) (+.f64 (*.f64 (log.f64 (log.f64 x)) (log.f64 (log.f64 x))) (*.f64 (log.f64 x) (log.f64 (log.f64 x))))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 (log.f64 x)) (log.f64 (log.f64 x)))) (+.f64 (log.f64 x) (log.f64 (log.f64 x))))
(neg.f64 (log.f64 (/.f64 (log.f64 x) x)))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 2))
(log.f64 (/.f64 x (log.f64 x)))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 x (log.f64 x)))))
(exp.f64 (log.f64 (log.f64 (/.f64 x (log.f64 x)))))
(log1p.f64 (-.f64 (/.f64 x (log.f64 x)) 1))
(fma.f64 1 (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)) (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))))
(-.f64 (+.f64 1 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x))))) 1)
(*.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 1)
(*.f64 1 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))))
(*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x))))) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x))))) 2))
(*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x))))) (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2) 1/3))
(*.f64 (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))))))
(*.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 1/6) (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 1/6))
(*.f64 (pow.f64 (pow.f64 (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 1 1/3) (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))))
(*.f64 (pow.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 1/3) (pow.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 1/3))
(pow.f64 (log.f64 (/.f64 x (log.f64 x))) 1/3)
(pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 1)
(pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x))))) 3)
(pow.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 1/6) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2))
(log.f64 (exp.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x))))))
(exp.f64 (log.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x))))))
(log1p.f64 (expm1.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x))))))
Outputs
(*.f64 (pow.f64 1 1/3) (+.f64 (log.f64 (/.f64 1 (log.f64 x))) (log.f64 x)))
(log.f64 (/.f64 x (log.f64 x)))
(*.f64 (pow.f64 1 1/3) (+.f64 (log.f64 (/.f64 1 (log.f64 x))) (log.f64 x)))
(log.f64 (/.f64 x (log.f64 x)))
(*.f64 (pow.f64 1 1/3) (+.f64 (log.f64 (/.f64 1 (log.f64 x))) (log.f64 x)))
(log.f64 (/.f64 x (log.f64 x)))
(*.f64 (pow.f64 1 1/3) (+.f64 (log.f64 (/.f64 1 (log.f64 x))) (log.f64 x)))
(log.f64 (/.f64 x (log.f64 x)))
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 -1 (log.f64 (/.f64 1 x))))) (pow.f64 1 1/3))
(log.f64 (/.f64 x (log.f64 x)))
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 -1 (log.f64 (/.f64 1 x))))) (pow.f64 1 1/3))
(log.f64 (/.f64 x (log.f64 x)))
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 -1 (log.f64 (/.f64 1 x))))) (pow.f64 1 1/3))
(log.f64 (/.f64 x (log.f64 x)))
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 -1 (log.f64 (/.f64 1 x))))) (pow.f64 1 1/3))
(log.f64 (/.f64 x (log.f64 x)))
(*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))
(log.f64 (/.f64 x (log.f64 x)))
(*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))
(log.f64 (/.f64 x (log.f64 x)))
(*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))
(log.f64 (/.f64 x (log.f64 x)))
(*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))
(log.f64 (/.f64 x (log.f64 x)))
(pow.f64 (+.f64 (log.f64 (/.f64 1 (log.f64 x))) (log.f64 x)) 1/3)
(cbrt.f64 (log.f64 (/.f64 x (log.f64 x))))
(pow.f64 (+.f64 (log.f64 (/.f64 1 (log.f64 x))) (log.f64 x)) 1/3)
(cbrt.f64 (log.f64 (/.f64 x (log.f64 x))))
(pow.f64 (+.f64 (log.f64 (/.f64 1 (log.f64 x))) (log.f64 x)) 1/3)
(cbrt.f64 (log.f64 (/.f64 x (log.f64 x))))
(pow.f64 (+.f64 (log.f64 (/.f64 1 (log.f64 x))) (log.f64 x)) 1/3)
(cbrt.f64 (log.f64 (/.f64 x (log.f64 x))))
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 -1 (log.f64 (/.f64 1 x))))) 1/3)
(cbrt.f64 (log.f64 (/.f64 x (log.f64 x))))
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 -1 (log.f64 (/.f64 1 x))))) 1/3)
(cbrt.f64 (log.f64 (/.f64 x (log.f64 x))))
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 -1 (log.f64 (/.f64 1 x))))) 1/3)
(cbrt.f64 (log.f64 (/.f64 x (log.f64 x))))
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 -1 (log.f64 (/.f64 1 x))))) 1/3)
(cbrt.f64 (log.f64 (/.f64 x (log.f64 x))))
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) 1/3)
(cbrt.f64 (log.f64 (/.f64 x (log.f64 x))))
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) 1/3)
(cbrt.f64 (log.f64 (/.f64 x (log.f64 x))))
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) 1/3)
(cbrt.f64 (log.f64 (/.f64 x (log.f64 x))))
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) 1/3)
(cbrt.f64 (log.f64 (/.f64 x (log.f64 x))))
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))
(log.f64 (/.f64 x (log.f64 x)))
(+.f64 0 (log.f64 (/.f64 x (log.f64 x))))
(log.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 (sqrt.f64 (/.f64 x (log.f64 x)))) 2)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 x (log.f64 x))) 2)) (log.f64 (cbrt.f64 (/.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 3 (log.f64 (cbrt.f64 (/.f64 x (log.f64 x)))))
(*.f64 (log.f64 (cbrt.f64 (/.f64 x (log.f64 x)))) 3)
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(log.f64 (/.f64 x (log.f64 x)))
(-.f64 0 (log.f64 (/.f64 (log.f64 x) x)))
(log.f64 (/.f64 x (log.f64 x)))
(-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 (log.f64 x))))
(log.f64 (/.f64 x (log.f64 x)))
(-.f64 (+.f64 1 (log.f64 (/.f64 x (log.f64 x)))) 1)
(log.f64 (/.f64 x (log.f64 x)))
(*.f64 (log.f64 (/.f64 x (log.f64 x))) 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))
(log.f64 (/.f64 x (log.f64 x)))
(*.f64 1 (log.f64 (/.f64 x (log.f64 x))))
(log.f64 (/.f64 x (log.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x))))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x))))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2)))
(log.f64 (/.f64 x (log.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2) (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))))
(log.f64 (/.f64 x (log.f64 x)))
(*.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 1/6) (*.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 1/6) (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2)))
(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)))))
(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)))))
(log.f64 (/.f64 x (log.f64 x)))
(*.f64 (pow.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 1/6) 3) (pow.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 1/6) 3))
(log.f64 (/.f64 x (log.f64 x)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2) 1) (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))))
(log.f64 (/.f64 x (log.f64 x)))
(*.f64 (*.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))))))
(log.f64 (/.f64 x (log.f64 x)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2) (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 1/6)) (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 1/6))
(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 (*.f64 (log.f64 (log.f64 x)) (log.f64 (log.f64 x))) (*.f64 (log.f64 x) (log.f64 (log.f64 x))))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (log.f64 x)) 3)) (+.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 (log.f64 x)) (+.f64 (log.f64 x) (log.f64 (log.f64 x))))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (log.f64 x)) 3)) (fma.f64 (log.f64 (log.f64 x)) (+.f64 (log.f64 x) (log.f64 (log.f64 x))) (pow.f64 (log.f64 x) 2)))
(/.f64 (-.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 (log.f64 x)) (log.f64 (log.f64 x)))) (+.f64 (log.f64 x) (log.f64 (log.f64 x))))
(neg.f64 (log.f64 (/.f64 (log.f64 x) x)))
(log.f64 (/.f64 x (log.f64 x)))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 2))
(log.f64 (/.f64 x (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)))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 x (log.f64 x)))))
(log.f64 (/.f64 x (log.f64 x)))
(exp.f64 (log.f64 (log.f64 (/.f64 x (log.f64 x)))))
(log.f64 (/.f64 x (log.f64 x)))
(log1p.f64 (-.f64 (/.f64 x (log.f64 x)) 1))
(log1p.f64 (+.f64 (/.f64 x (log.f64 x)) -1))
(log1p.f64 (+.f64 -1 (/.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 (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)))
(-.f64 (+.f64 1 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x))))) 1)
(cbrt.f64 (log.f64 (/.f64 x (log.f64 x))))
(*.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 1)
(cbrt.f64 (log.f64 (/.f64 x (log.f64 x))))
(*.f64 1 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))))
(cbrt.f64 (log.f64 (/.f64 x (log.f64 x))))
(*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x))))) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x))))) 2))
(cbrt.f64 (log.f64 (/.f64 x (log.f64 x))))
(*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x))))) (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2) 1/3))
(cbrt.f64 (log.f64 (/.f64 x (log.f64 x))))
(*.f64 (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))))))
(cbrt.f64 (log.f64 (/.f64 x (log.f64 x))))
(*.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 1/6) (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 1/6))
(cbrt.f64 (log.f64 (/.f64 x (log.f64 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x))))))
(cbrt.f64 (log.f64 (/.f64 x (log.f64 x))))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))))
(cbrt.f64 (log.f64 (/.f64 x (log.f64 x))))
(*.f64 (pow.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 1/3) (pow.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 1/3))
(*.f64 (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 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 1/6) 4)
(pow.f64 (log.f64 (/.f64 x (log.f64 x))) 1/3)
(cbrt.f64 (log.f64 (/.f64 x (log.f64 x))))
(pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 1)
(cbrt.f64 (log.f64 (/.f64 x (log.f64 x))))
(pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x))))) 3)
(cbrt.f64 (log.f64 (/.f64 x (log.f64 x))))
(pow.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 1/6) 2)
(cbrt.f64 (log.f64 (/.f64 x (log.f64 x))))
(sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2))
(cbrt.f64 (log.f64 (/.f64 x (log.f64 x))))
(log.f64 (exp.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x))))))
(cbrt.f64 (log.f64 (/.f64 x (log.f64 x))))
(expm1.f64 (log1p.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x))))))
(cbrt.f64 (log.f64 (/.f64 x (log.f64 x))))
(exp.f64 (log.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x))))))
(cbrt.f64 (log.f64 (/.f64 x (log.f64 x))))
(log1p.f64 (expm1.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x))))))
(cbrt.f64 (log.f64 (/.f64 x (log.f64 x))))

eval31.0ms (0.8%)

Compiler

Compiled 1721 to 755 computations (56.1% saved)

prune21.0ms (0.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1372139
Fresh000
Picked101
Done112
Total1393142
Accurracy
100.0%
Counts
142 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(*.f64 (log.f64 (sqrt.f64 (/.f64 x (log.f64 x)))) 2)
▶100.0%
(neg.f64 (log.f64 (/.f64 (log.f64 x) x)))
✓100.0%
(log.f64 (/.f64 x (log.f64 x)))
Compiler

Compiled 22 to 16 computations (27.3% saved)

localize34.0ms (0.9%)

Local Accuracy

Found 2 expressions with local accuracy:

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

Compiled 20 to 6 computations (70% saved)

series73.0ms (1.9%)

Counts
2 → 20
Calls

6 calls:

TimeVariablePointExpression
50.0ms
x
@-inf
(log.f64 (/.f64 (log.f64 x) x))
13.0ms
x
@0
(log.f64 (/.f64 (log.f64 x) x))
9.0ms
x
@inf
(log.f64 (/.f64 (log.f64 x) x))
0.0ms
x
@0
(/.f64 (log.f64 x) x)
0.0ms
x
@-inf
(/.f64 (log.f64 x) x)

rewrite57.0ms (1.5%)

Algorithm
1×batch-egg-rewrite
Rules
1372×pow1
1260×add-exp-log
1258×log1p-expm1-u
1258×expm1-log1p-u
1226×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0726
113626
2171126
Stop Event
1×node limit
Counts
2 → 59
Calls
Call 1
Inputs
(/.f64 (log.f64 x) x)
(log.f64 (/.f64 (log.f64 x) x))
Outputs
(+.f64 1 (-.f64 (/.f64 (log.f64 x) x) 1))
(-.f64 (+.f64 1 (/.f64 (log.f64 x) x)) 1)
(*.f64 (log.f64 x) (/.f64 1 x))
(*.f64 (/.f64 (log.f64 x) x) 1)
(*.f64 1 (/.f64 (log.f64 x) x))
(*.f64 (cbrt.f64 (/.f64 (log.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 (log.f64 x) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 x) x)) 2) (cbrt.f64 (/.f64 (log.f64 x) x)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (*.f64 (cbrt.f64 (log.f64 x)) (/.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 (log.f64 x) x)) (sqrt.f64 (/.f64 (log.f64 x) x)))
(*.f64 (sqrt.f64 (log.f64 x)) (*.f64 (sqrt.f64 (log.f64 x)) (/.f64 1 x)))
(*.f64 (neg.f64 (log.f64 x)) (/.f64 1 (neg.f64 x)))
(*.f64 (/.f64 1 x) (log.f64 x))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (log.f64 x) (cbrt.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (log.f64 x) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) 1) (/.f64 (cbrt.f64 (log.f64 x)) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (log.f64 x) x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (log.f64 x)) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (log.f64 x)) 1) (/.f64 (sqrt.f64 (log.f64 x)) x))
(*.f64 (/.f64 (sqrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (log.f64 x)) (cbrt.f64 x)))
(pow.f64 (/.f64 (log.f64 x) x) 1)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 x) x)) 3)
(pow.f64 (pow.f64 (/.f64 (log.f64 x) x) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 x) x)) 2)
(pow.f64 (/.f64 x (log.f64 x)) -1)
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (log.f64 x) x)))) (sqrt.f64 (log.f64 (/.f64 (log.f64 x) x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (log.f64 x) x))) 2)) (cbrt.f64 (log.f64 (/.f64 (log.f64 x) x))))
(pow.f64 (exp.f64 1) (log.f64 (/.f64 (log.f64 x) x)))
(neg.f64 (/.f64 (log.f64 x) (neg.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 x) x) 2))
(log.f64 (pow.f64 x (/.f64 1 x)))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 x) x) 3))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 x) x)))
(exp.f64 (log.f64 (/.f64 (log.f64 x) x)))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 x) x)))
(+.f64 (log.f64 (log.f64 x)) (neg.f64 (log.f64 x)))
(+.f64 (log.f64 (sqrt.f64 (/.f64 (log.f64 x) x))) (log.f64 (sqrt.f64 (/.f64 (log.f64 x) x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 x) x)) 2)) (log.f64 (cbrt.f64 (/.f64 (log.f64 x) x))))
(+.f64 0 (log.f64 (/.f64 (log.f64 x) x)))
(-.f64 (log.f64 (log.f64 x)) (log.f64 x))
(-.f64 (log.f64 (neg.f64 (log.f64 x))) (log.f64 (neg.f64 x)))
(-.f64 0 (log.f64 (/.f64 x (log.f64 x))))
(-.f64 (+.f64 1 (log.f64 (/.f64 (log.f64 x) x))) 1)
(*.f64 (log.f64 (/.f64 (log.f64 x) x)) 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 (-.f64 (pow.f64 (log.f64 (log.f64 x)) 3) (pow.f64 (log.f64 x) 3)) (+.f64 (*.f64 (log.f64 (log.f64 x)) (log.f64 (log.f64 x))) (+.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 (log.f64 x)) (log.f64 x)))))
(/.f64 (-.f64 (*.f64 (log.f64 (log.f64 x)) (log.f64 (log.f64 x))) (pow.f64 (log.f64 x) 2)) (+.f64 (log.f64 (log.f64 x)) (log.f64 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)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 (log.f64 x) x))) 2)
(neg.f64 (log.f64 (/.f64 x (log.f64 x))))
(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))))
(exp.f64 (log.f64 (log.f64 (/.f64 (log.f64 x) x))))
(log1p.f64 (-.f64 (/.f64 (log.f64 x) x) 1))

simplify81.0ms (2.1%)

Algorithm
1×egg-herbie
Rules
1254×log-prod
1218×fma-neg
930×fma-def
850×unswap-sqr
520×associate-/l*
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01541741
13581431
211871411
369091403
Stop Event
1×node limit
Counts
79 → 85
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) x))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) x))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) x))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) x))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)
(+.f64 (log.f64 (log.f64 x)) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 (log.f64 x)) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 (log.f64 x)) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 (log.f64 x)) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 (/.f64 1 x)) (log.f64 (*.f64 -1 (log.f64 (/.f64 1 x)))))
(+.f64 (log.f64 (/.f64 1 x)) (log.f64 (*.f64 -1 (log.f64 (/.f64 1 x)))))
(+.f64 (log.f64 (/.f64 1 x)) (log.f64 (*.f64 -1 (log.f64 (/.f64 1 x)))))
(+.f64 (log.f64 (/.f64 1 x)) (log.f64 (*.f64 -1 (log.f64 (/.f64 1 x)))))
(+.f64 (log.f64 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (log.f64 (/.f64 -1 x)))
(+.f64 1 (-.f64 (/.f64 (log.f64 x) x) 1))
(-.f64 (+.f64 1 (/.f64 (log.f64 x) x)) 1)
(*.f64 (log.f64 x) (/.f64 1 x))
(*.f64 (/.f64 (log.f64 x) x) 1)
(*.f64 1 (/.f64 (log.f64 x) x))
(*.f64 (cbrt.f64 (/.f64 (log.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 (log.f64 x) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 x) x)) 2) (cbrt.f64 (/.f64 (log.f64 x) x)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (*.f64 (cbrt.f64 (log.f64 x)) (/.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 (log.f64 x) x)) (sqrt.f64 (/.f64 (log.f64 x) x)))
(*.f64 (sqrt.f64 (log.f64 x)) (*.f64 (sqrt.f64 (log.f64 x)) (/.f64 1 x)))
(*.f64 (neg.f64 (log.f64 x)) (/.f64 1 (neg.f64 x)))
(*.f64 (/.f64 1 x) (log.f64 x))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (log.f64 x) (cbrt.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (log.f64 x) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) 1) (/.f64 (cbrt.f64 (log.f64 x)) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (log.f64 x) x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (log.f64 x)) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (log.f64 x)) 1) (/.f64 (sqrt.f64 (log.f64 x)) x))
(*.f64 (/.f64 (sqrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (log.f64 x)) (cbrt.f64 x)))
(pow.f64 (/.f64 (log.f64 x) x) 1)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 x) x)) 3)
(pow.f64 (pow.f64 (/.f64 (log.f64 x) x) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 x) x)) 2)
(pow.f64 (/.f64 x (log.f64 x)) -1)
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (log.f64 x) x)))) (sqrt.f64 (log.f64 (/.f64 (log.f64 x) x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (log.f64 x) x))) 2)) (cbrt.f64 (log.f64 (/.f64 (log.f64 x) x))))
(pow.f64 (exp.f64 1) (log.f64 (/.f64 (log.f64 x) x)))
(neg.f64 (/.f64 (log.f64 x) (neg.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 x) x) 2))
(log.f64 (pow.f64 x (/.f64 1 x)))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 x) x) 3))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 x) x)))
(exp.f64 (log.f64 (/.f64 (log.f64 x) x)))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 x) x)))
(+.f64 (log.f64 (log.f64 x)) (neg.f64 (log.f64 x)))
(+.f64 (log.f64 (sqrt.f64 (/.f64 (log.f64 x) x))) (log.f64 (sqrt.f64 (/.f64 (log.f64 x) x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 x) x)) 2)) (log.f64 (cbrt.f64 (/.f64 (log.f64 x) x))))
(+.f64 0 (log.f64 (/.f64 (log.f64 x) x)))
(-.f64 (log.f64 (log.f64 x)) (log.f64 x))
(-.f64 (log.f64 (neg.f64 (log.f64 x))) (log.f64 (neg.f64 x)))
(-.f64 0 (log.f64 (/.f64 x (log.f64 x))))
(-.f64 (+.f64 1 (log.f64 (/.f64 (log.f64 x) x))) 1)
(*.f64 (log.f64 (/.f64 (log.f64 x) x)) 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 (-.f64 (pow.f64 (log.f64 (log.f64 x)) 3) (pow.f64 (log.f64 x) 3)) (+.f64 (*.f64 (log.f64 (log.f64 x)) (log.f64 (log.f64 x))) (+.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 (log.f64 x)) (log.f64 x)))))
(/.f64 (-.f64 (*.f64 (log.f64 (log.f64 x)) (log.f64 (log.f64 x))) (pow.f64 (log.f64 x) 2)) (+.f64 (log.f64 (log.f64 x)) (log.f64 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)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 (log.f64 x) x))) 2)
(neg.f64 (log.f64 (/.f64 x (log.f64 x))))
(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))))
(exp.f64 (log.f64 (log.f64 (/.f64 (log.f64 x) x))))
(log1p.f64 (-.f64 (/.f64 (log.f64 x) x) 1))
Outputs
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) x))
(/.f64 (neg.f64 (neg.f64 (log.f64 x))) x)
(/.f64 (log.f64 x) x)
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) x))
(/.f64 (neg.f64 (neg.f64 (log.f64 x))) x)
(/.f64 (log.f64 x) x)
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) x))
(/.f64 (neg.f64 (neg.f64 (log.f64 x))) x)
(/.f64 (log.f64 x) x)
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) x))
(/.f64 (neg.f64 (neg.f64 (log.f64 x))) x)
(/.f64 (log.f64 x) x)
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)
(/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) x)
(/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) x)
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)
(/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) x)
(/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) x)
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)
(/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) x)
(/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) x)
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)
(/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) x)
(/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) x)
(+.f64 (log.f64 (log.f64 x)) (*.f64 -1 (log.f64 x)))
(log.f64 (/.f64 (log.f64 x) x))
(+.f64 (log.f64 (log.f64 x)) (*.f64 -1 (log.f64 x)))
(log.f64 (/.f64 (log.f64 x) x))
(+.f64 (log.f64 (log.f64 x)) (*.f64 -1 (log.f64 x)))
(log.f64 (/.f64 (log.f64 x) x))
(+.f64 (log.f64 (log.f64 x)) (*.f64 -1 (log.f64 x)))
(log.f64 (/.f64 (log.f64 x) x))
(+.f64 (log.f64 (/.f64 1 x)) (log.f64 (*.f64 -1 (log.f64 (/.f64 1 x)))))
(log.f64 (/.f64 (log.f64 x) x))
(+.f64 (log.f64 (/.f64 1 x)) (log.f64 (*.f64 -1 (log.f64 (/.f64 1 x)))))
(log.f64 (/.f64 (log.f64 x) x))
(+.f64 (log.f64 (/.f64 1 x)) (log.f64 (*.f64 -1 (log.f64 (/.f64 1 x)))))
(log.f64 (/.f64 (log.f64 x) x))
(+.f64 (log.f64 (/.f64 1 x)) (log.f64 (*.f64 -1 (log.f64 (/.f64 1 x)))))
(log.f64 (/.f64 (log.f64 x) x))
(+.f64 (log.f64 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 (neg.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 (neg.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 (-.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1))))
(+.f64 (neg.f64 (log.f64 x)) (log.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))
(+.f64 (log.f64 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 (neg.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 (neg.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 (-.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1))))
(+.f64 (neg.f64 (log.f64 x)) (log.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))
(+.f64 (log.f64 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 (neg.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 (neg.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 (-.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1))))
(+.f64 (neg.f64 (log.f64 x)) (log.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))
(+.f64 (log.f64 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 (neg.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 (neg.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 (-.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1))))
(+.f64 (neg.f64 (log.f64 x)) (log.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))
(+.f64 1 (-.f64 (/.f64 (log.f64 x) x) 1))
(/.f64 (neg.f64 (neg.f64 (log.f64 x))) x)
(/.f64 (log.f64 x) x)
(-.f64 (+.f64 1 (/.f64 (log.f64 x) x)) 1)
(/.f64 (neg.f64 (neg.f64 (log.f64 x))) x)
(/.f64 (log.f64 x) x)
(*.f64 (log.f64 x) (/.f64 1 x))
(/.f64 (neg.f64 (neg.f64 (log.f64 x))) x)
(/.f64 (log.f64 x) x)
(*.f64 (/.f64 (log.f64 x) x) 1)
(/.f64 (neg.f64 (neg.f64 (log.f64 x))) x)
(/.f64 (log.f64 x) x)
(*.f64 1 (/.f64 (log.f64 x) x))
(/.f64 (neg.f64 (neg.f64 (log.f64 x))) x)
(/.f64 (log.f64 x) x)
(*.f64 (cbrt.f64 (/.f64 (log.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 (log.f64 x) x)) 2))
(/.f64 (neg.f64 (neg.f64 (log.f64 x))) x)
(/.f64 (log.f64 x) x)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 x) x)) 2) (cbrt.f64 (/.f64 (log.f64 x) x)))
(/.f64 (neg.f64 (neg.f64 (log.f64 x))) x)
(/.f64 (log.f64 x) x)
(*.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (*.f64 (cbrt.f64 (log.f64 x)) (/.f64 1 x)))
(/.f64 (neg.f64 (neg.f64 (log.f64 x))) x)
(/.f64 (log.f64 x) x)
(*.f64 (sqrt.f64 (/.f64 (log.f64 x) x)) (sqrt.f64 (/.f64 (log.f64 x) x)))
(/.f64 (neg.f64 (neg.f64 (log.f64 x))) x)
(/.f64 (log.f64 x) x)
(*.f64 (sqrt.f64 (log.f64 x)) (*.f64 (sqrt.f64 (log.f64 x)) (/.f64 1 x)))
(/.f64 (neg.f64 (neg.f64 (log.f64 x))) x)
(/.f64 (log.f64 x) x)
(*.f64 (neg.f64 (log.f64 x)) (/.f64 1 (neg.f64 x)))
(/.f64 (neg.f64 (neg.f64 (log.f64 x))) x)
(/.f64 (log.f64 x) x)
(*.f64 (/.f64 1 x) (log.f64 x))
(/.f64 (neg.f64 (neg.f64 (log.f64 x))) x)
(/.f64 (log.f64 x) x)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (log.f64 x) (cbrt.f64 x)))
(/.f64 (/.f64 (log.f64 x) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (log.f64 x) (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (log.f64 x) (sqrt.f64 x)))
(/.f64 (/.f64 (log.f64 x) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (log.f64 x) (*.f64 (sqrt.f64 x) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) 1) (/.f64 (cbrt.f64 (log.f64 x)) x))
(/.f64 (neg.f64 (neg.f64 (log.f64 x))) x)
(/.f64 (log.f64 x) x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (log.f64 x) x)))
(*.f64 (cbrt.f64 (/.f64 (log.f64 x) x)) (/.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (*.f64 (cbrt.f64 (/.f64 (log.f64 x) x)) (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (log.f64 x)) (sqrt.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (log.f64 x) (sqrt.f64 x)))
(/.f64 (/.f64 (log.f64 x) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (log.f64 x) (*.f64 (sqrt.f64 x) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (log.f64 x)) 1) (/.f64 (sqrt.f64 (log.f64 x)) x))
(/.f64 (neg.f64 (neg.f64 (log.f64 x))) x)
(/.f64 (log.f64 x) x)
(*.f64 (/.f64 (sqrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (log.f64 x)) (cbrt.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (log.f64 x) (cbrt.f64 x)))
(/.f64 (/.f64 (log.f64 x) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (log.f64 x) (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x)))
(pow.f64 (/.f64 (log.f64 x) x) 1)
(/.f64 (neg.f64 (neg.f64 (log.f64 x))) x)
(/.f64 (log.f64 x) x)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 x) x)) 3)
(/.f64 (neg.f64 (neg.f64 (log.f64 x))) x)
(/.f64 (log.f64 x) x)
(pow.f64 (pow.f64 (/.f64 (log.f64 x) x) 3) 1/3)
(/.f64 (neg.f64 (neg.f64 (log.f64 x))) x)
(/.f64 (log.f64 x) x)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 x) x)) 2)
(/.f64 (neg.f64 (neg.f64 (log.f64 x))) x)
(/.f64 (log.f64 x) x)
(pow.f64 (/.f64 x (log.f64 x)) -1)
(/.f64 (neg.f64 (neg.f64 (log.f64 x))) x)
(/.f64 (log.f64 x) x)
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (log.f64 x) x)))) (sqrt.f64 (log.f64 (/.f64 (log.f64 x) x))))
(/.f64 (neg.f64 (neg.f64 (log.f64 x))) x)
(/.f64 (log.f64 x) x)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (log.f64 x) x))) 2)) (cbrt.f64 (log.f64 (/.f64 (log.f64 x) x))))
(/.f64 (neg.f64 (neg.f64 (log.f64 x))) x)
(/.f64 (log.f64 x) x)
(pow.f64 (exp.f64 1) (log.f64 (/.f64 (log.f64 x) x)))
(/.f64 (neg.f64 (neg.f64 (log.f64 x))) x)
(/.f64 (log.f64 x) x)
(neg.f64 (/.f64 (log.f64 x) (neg.f64 x)))
(/.f64 (neg.f64 (neg.f64 (log.f64 x))) x)
(/.f64 (log.f64 x) x)
(sqrt.f64 (pow.f64 (/.f64 (log.f64 x) x) 2))
(/.f64 (neg.f64 (neg.f64 (log.f64 x))) x)
(/.f64 (log.f64 x) x)
(log.f64 (pow.f64 x (/.f64 1 x)))
(/.f64 (neg.f64 (neg.f64 (log.f64 x))) x)
(/.f64 (log.f64 x) x)
(cbrt.f64 (pow.f64 (/.f64 (log.f64 x) x) 3))
(/.f64 (neg.f64 (neg.f64 (log.f64 x))) x)
(/.f64 (log.f64 x) x)
(expm1.f64 (log1p.f64 (/.f64 (log.f64 x) x)))
(/.f64 (neg.f64 (neg.f64 (log.f64 x))) x)
(/.f64 (log.f64 x) x)
(exp.f64 (log.f64 (/.f64 (log.f64 x) x)))
(/.f64 (neg.f64 (neg.f64 (log.f64 x))) x)
(/.f64 (log.f64 x) x)
(log1p.f64 (expm1.f64 (/.f64 (log.f64 x) x)))
(/.f64 (neg.f64 (neg.f64 (log.f64 x))) x)
(/.f64 (log.f64 x) x)
(+.f64 (log.f64 (log.f64 x)) (neg.f64 (log.f64 x)))
(log.f64 (/.f64 (log.f64 x) x))
(+.f64 (log.f64 (sqrt.f64 (/.f64 (log.f64 x) x))) (log.f64 (sqrt.f64 (/.f64 (log.f64 x) x))))
(log.f64 (/.f64 (log.f64 x) x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 x) x)) 2)) (log.f64 (cbrt.f64 (/.f64 (log.f64 x) x))))
(log.f64 (/.f64 (log.f64 x) x))
(+.f64 0 (log.f64 (/.f64 (log.f64 x) x)))
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(-.f64 (log.f64 (log.f64 x)) (log.f64 x))
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(-.f64 (log.f64 (neg.f64 (log.f64 x))) (log.f64 (neg.f64 x)))
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(-.f64 0 (log.f64 (/.f64 x (log.f64 x))))
(log.f64 (/.f64 (log.f64 x) x))
(-.f64 (+.f64 1 (log.f64 (/.f64 (log.f64 x) x))) 1)
(log.f64 (/.f64 (log.f64 x) x))
(*.f64 (log.f64 (/.f64 (log.f64 x) x)) 1)
(log.f64 (/.f64 (log.f64 x) x))
(*.f64 1 (log.f64 (/.f64 (log.f64 x) x)))
(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))
(log.f64 (/.f64 (log.f64 x) x))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (log.f64 x) x))) 2) (cbrt.f64 (log.f64 (/.f64 (log.f64 x) x))))
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(*.f64 (sqrt.f64 (log.f64 (/.f64 (log.f64 x) x))) (sqrt.f64 (log.f64 (/.f64 (log.f64 x) x))))
(log.f64 (/.f64 (log.f64 x) x))
(/.f64 (-.f64 (pow.f64 (log.f64 (log.f64 x)) 3) (pow.f64 (log.f64 x) 3)) (+.f64 (*.f64 (log.f64 (log.f64 x)) (log.f64 (log.f64 x))) (+.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)) 3) (pow.f64 (log.f64 x) 3)) (fma.f64 (log.f64 (log.f64 x)) (log.f64 (log.f64 x)) (+.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 x) (log.f64 (log.f64 x))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (log.f64 x)) 3) (pow.f64 (log.f64 x) 3)) (fma.f64 (log.f64 (log.f64 x)) (log.f64 (log.f64 x)) (*.f64 (log.f64 x) (+.f64 (log.f64 x) (log.f64 (log.f64 x))))))
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(/.f64 (-.f64 (*.f64 (log.f64 (log.f64 x)) (log.f64 (log.f64 x))) (pow.f64 (log.f64 x) 2)) (+.f64 (log.f64 (log.f64 x)) (log.f64 x)))
(/.f64 (-.f64 (*.f64 (log.f64 (log.f64 x)) (log.f64 (log.f64 x))) (pow.f64 (log.f64 x) 2)) (+.f64 (log.f64 x) (log.f64 (log.f64 x))))
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(pow.f64 (log.f64 (/.f64 (log.f64 x) x)) 1)
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(cbrt.f64 (pow.f64 (log.f64 (/.f64 (log.f64 x) x)) 3))
(log.f64 (/.f64 (log.f64 x) x))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 (log.f64 x) x))))
(log.f64 (/.f64 (log.f64 x) x))
(exp.f64 (log.f64 (log.f64 (/.f64 (log.f64 x) x))))
(log.f64 (/.f64 (log.f64 x) x))
(log1p.f64 (-.f64 (/.f64 (log.f64 x) x) 1))
(log.f64 (/.f64 (log.f64 x) x))

localize40.0ms (1.1%)

Local Accuracy

Found 3 expressions with local accuracy:

NewAccuracyProgram
✓100.0%
(log.f64 (sqrt.f64 (/.f64 x (log.f64 x))))
✓99.8%
(sqrt.f64 (/.f64 x (log.f64 x)))
99.5%
(/.f64 x (log.f64 x))
Compiler

Compiled 29 to 9 computations (69% saved)

series5.0ms (0.1%)

Counts
2 → 0
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(log.f64 (sqrt.f64 (/.f64 x (log.f64 x))))
1.0ms
x
@-inf
(sqrt.f64 (/.f64 x (log.f64 x)))
1.0ms
x
@0
(log.f64 (sqrt.f64 (/.f64 x (log.f64 x))))
1.0ms
x
@inf
(log.f64 (sqrt.f64 (/.f64 x (log.f64 x))))
1.0ms
x
@inf
(sqrt.f64 (/.f64 x (log.f64 x)))

rewrite67.0ms (1.8%)

Algorithm
1×batch-egg-rewrite
Rules
1530×pow1
1408×add-exp-log
1408×log1p-expm1-u
1408×expm1-log1p-u
1368×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0834
115634
2195134
Stop Event
1×node limit
Counts
2 → 53
Calls
Call 1
Inputs
(sqrt.f64 (/.f64 x (log.f64 x)))
(log.f64 (sqrt.f64 (/.f64 x (log.f64 x))))
Outputs
(+.f64 1 (-.f64 (sqrt.f64 (/.f64 x (log.f64 x))) 1))
(-.f64 (+.f64 1 (sqrt.f64 (/.f64 x (log.f64 x)))) 1)
(*.f64 (sqrt.f64 (/.f64 x (log.f64 x))) 1)
(*.f64 1 (sqrt.f64 (/.f64 x (log.f64 x))))
(*.f64 (cbrt.f64 (/.f64 x (log.f64 x))) (cbrt.f64 (sqrt.f64 (/.f64 x (log.f64 x)))))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 x (log.f64 x)))) (cbrt.f64 (/.f64 x (log.f64 x))))
(*.f64 (pow.f64 (/.f64 x (log.f64 x)) 1/4) (pow.f64 (/.f64 x (log.f64 x)) 1/4))
(*.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 1 (log.f64 x))))
(*.f64 (sqrt.f64 x) (pow.f64 (/.f64 1 (log.f64 x)) 1/2))
(*.f64 (sqrt.f64 x) (/.f64 1 (sqrt.f64 (log.f64 x))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 x (log.f64 x))) 2)) (sqrt.f64 (cbrt.f64 (/.f64 x (log.f64 x)))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (/.f64 x (log.f64 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 x (log.f64 x))) 2) 1/2) (pow.f64 (cbrt.f64 (/.f64 x (log.f64 x))) 1/2))
(/.f64 1 (sqrt.f64 (/.f64 (log.f64 x) x)))
(/.f64 1 (/.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 x)))
(/.f64 (sqrt.f64 x) (sqrt.f64 (log.f64 x)))
(/.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 (log.f64 x))))
(/.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 (log.f64 x))))
(pow.f64 (/.f64 x (log.f64 x)) 1/2)
(pow.f64 (sqrt.f64 (/.f64 x (log.f64 x))) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 x (log.f64 x)))) 3)
(pow.f64 (pow.f64 (/.f64 x (log.f64 x)) 3/2) 1/3)
(pow.f64 (pow.f64 (/.f64 x (log.f64 x)) 1/4) 2)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (/.f64 x (log.f64 x))))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 (/.f64 x (log.f64 x))))))
(pow.f64 (exp.f64 1) (log.f64 (sqrt.f64 (/.f64 x (log.f64 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 x (log.f64 x)))))) (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 x (log.f64 x))))))
(fabs.f64 (sqrt.f64 (/.f64 x (log.f64 x))))
(log.f64 (exp.f64 (sqrt.f64 (/.f64 x (log.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 x (log.f64 x)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 x (log.f64 x)))))
(exp.f64 (log.f64 (sqrt.f64 (/.f64 x (log.f64 x)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 x (log.f64 x)))))
(+.f64 (log.f64 (pow.f64 (/.f64 x (log.f64 x)) 1/4)) (log.f64 (pow.f64 (/.f64 x (log.f64 x)) 1/4)))
(+.f64 0 (log.f64 (sqrt.f64 (/.f64 x (log.f64 x)))))
(+.f64 (log.f64 (cbrt.f64 (/.f64 x (log.f64 x)))) (log.f64 (cbrt.f64 (sqrt.f64 (/.f64 x (log.f64 x))))))
(-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (sqrt.f64 (log.f64 x))))
(-.f64 (+.f64 1 (log.f64 (sqrt.f64 (/.f64 x (log.f64 x))))) 1)
(*.f64 (log.f64 (sqrt.f64 (/.f64 x (log.f64 x)))) 1)
(*.f64 1 (log.f64 (sqrt.f64 (/.f64 x (log.f64 x)))))
(*.f64 (log.f64 (/.f64 x (log.f64 x))) 1/2)
(*.f64 (cbrt.f64 (log.f64 (sqrt.f64 (/.f64 x (log.f64 x))))) (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (/.f64 x (log.f64 x))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (/.f64 x (log.f64 x))))) 2) (cbrt.f64 (log.f64 (sqrt.f64 (/.f64 x (log.f64 x))))))
(*.f64 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 x (log.f64 x))))) (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 x (log.f64 x))))))
(*.f64 1/2 (log.f64 (/.f64 x (log.f64 x))))
(pow.f64 (log.f64 (sqrt.f64 (/.f64 x (log.f64 x)))) 1)
(pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (/.f64 x (log.f64 x))))) 3)
(pow.f64 (pow.f64 (log.f64 (sqrt.f64 (/.f64 x (log.f64 x)))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 x (log.f64 x))))) 2)
(sqrt.f64 (pow.f64 (log.f64 (sqrt.f64 (/.f64 x (log.f64 x)))) 2))
(cbrt.f64 (pow.f64 (log.f64 (sqrt.f64 (/.f64 x (log.f64 x)))) 3))
(expm1.f64 (log1p.f64 (log.f64 (sqrt.f64 (/.f64 x (log.f64 x))))))
(exp.f64 (log.f64 (log.f64 (sqrt.f64 (/.f64 x (log.f64 x))))))
(log1p.f64 (-.f64 (sqrt.f64 (/.f64 x (log.f64 x))) 1))

simplify57.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
896×log-prod
760×associate-+l+
742×associate-+r+
712×associate-*r/
638×associate-*r*
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01161489
12161193
26391077
337081041
Stop Event
1×node limit
Counts
53 → 61
Calls
Call 1
Inputs
(+.f64 1 (-.f64 (sqrt.f64 (/.f64 x (log.f64 x))) 1))
(-.f64 (+.f64 1 (sqrt.f64 (/.f64 x (log.f64 x)))) 1)
(*.f64 (sqrt.f64 (/.f64 x (log.f64 x))) 1)
(*.f64 1 (sqrt.f64 (/.f64 x (log.f64 x))))
(*.f64 (cbrt.f64 (/.f64 x (log.f64 x))) (cbrt.f64 (sqrt.f64 (/.f64 x (log.f64 x)))))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 x (log.f64 x)))) (cbrt.f64 (/.f64 x (log.f64 x))))
(*.f64 (pow.f64 (/.f64 x (log.f64 x)) 1/4) (pow.f64 (/.f64 x (log.f64 x)) 1/4))
(*.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 1 (log.f64 x))))
(*.f64 (sqrt.f64 x) (pow.f64 (/.f64 1 (log.f64 x)) 1/2))
(*.f64 (sqrt.f64 x) (/.f64 1 (sqrt.f64 (log.f64 x))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 x (log.f64 x))) 2)) (sqrt.f64 (cbrt.f64 (/.f64 x (log.f64 x)))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (/.f64 x (log.f64 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 x (log.f64 x))) 2) 1/2) (pow.f64 (cbrt.f64 (/.f64 x (log.f64 x))) 1/2))
(/.f64 1 (sqrt.f64 (/.f64 (log.f64 x) x)))
(/.f64 1 (/.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 x)))
(/.f64 (sqrt.f64 x) (sqrt.f64 (log.f64 x)))
(/.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 (log.f64 x))))
(/.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 (log.f64 x))))
(pow.f64 (/.f64 x (log.f64 x)) 1/2)
(pow.f64 (sqrt.f64 (/.f64 x (log.f64 x))) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 x (log.f64 x)))) 3)
(pow.f64 (pow.f64 (/.f64 x (log.f64 x)) 3/2) 1/3)
(pow.f64 (pow.f64 (/.f64 x (log.f64 x)) 1/4) 2)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (/.f64 x (log.f64 x))))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 (/.f64 x (log.f64 x))))))
(pow.f64 (exp.f64 1) (log.f64 (sqrt.f64 (/.f64 x (log.f64 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 x (log.f64 x)))))) (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 x (log.f64 x))))))
(fabs.f64 (sqrt.f64 (/.f64 x (log.f64 x))))
(log.f64 (exp.f64 (sqrt.f64 (/.f64 x (log.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 x (log.f64 x)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 x (log.f64 x)))))
(exp.f64 (log.f64 (sqrt.f64 (/.f64 x (log.f64 x)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 x (log.f64 x)))))
(+.f64 (log.f64 (pow.f64 (/.f64 x (log.f64 x)) 1/4)) (log.f64 (pow.f64 (/.f64 x (log.f64 x)) 1/4)))
(+.f64 0 (log.f64 (sqrt.f64 (/.f64 x (log.f64 x)))))
(+.f64 (log.f64 (cbrt.f64 (/.f64 x (log.f64 x)))) (log.f64 (cbrt.f64 (sqrt.f64 (/.f64 x (log.f64 x))))))
(-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (sqrt.f64 (log.f64 x))))
(-.f64 (+.f64 1 (log.f64 (sqrt.f64 (/.f64 x (log.f64 x))))) 1)
(*.f64 (log.f64 (sqrt.f64 (/.f64 x (log.f64 x)))) 1)
(*.f64 1 (log.f64 (sqrt.f64 (/.f64 x (log.f64 x)))))
(*.f64 (log.f64 (/.f64 x (log.f64 x))) 1/2)
(*.f64 (cbrt.f64 (log.f64 (sqrt.f64 (/.f64 x (log.f64 x))))) (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (/.f64 x (log.f64 x))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (/.f64 x (log.f64 x))))) 2) (cbrt.f64 (log.f64 (sqrt.f64 (/.f64 x (log.f64 x))))))
(*.f64 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 x (log.f64 x))))) (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 x (log.f64 x))))))
(*.f64 1/2 (log.f64 (/.f64 x (log.f64 x))))
(pow.f64 (log.f64 (sqrt.f64 (/.f64 x (log.f64 x)))) 1)
(pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (/.f64 x (log.f64 x))))) 3)
(pow.f64 (pow.f64 (log.f64 (sqrt.f64 (/.f64 x (log.f64 x)))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 x (log.f64 x))))) 2)
(sqrt.f64 (pow.f64 (log.f64 (sqrt.f64 (/.f64 x (log.f64 x)))) 2))
(cbrt.f64 (pow.f64 (log.f64 (sqrt.f64 (/.f64 x (log.f64 x)))) 3))
(expm1.f64 (log1p.f64 (log.f64 (sqrt.f64 (/.f64 x (log.f64 x))))))
(exp.f64 (log.f64 (log.f64 (sqrt.f64 (/.f64 x (log.f64 x))))))
(log1p.f64 (-.f64 (sqrt.f64 (/.f64 x (log.f64 x))) 1))
Outputs
(+.f64 1 (-.f64 (sqrt.f64 (/.f64 x (log.f64 x))) 1))
(+.f64 1 (+.f64 (sqrt.f64 (/.f64 x (log.f64 x))) -1))
(+.f64 (sqrt.f64 (/.f64 x (log.f64 x))) 0)
(sqrt.f64 (/.f64 x (log.f64 x)))
(-.f64 (+.f64 1 (sqrt.f64 (/.f64 x (log.f64 x)))) 1)
(+.f64 1 (+.f64 (sqrt.f64 (/.f64 x (log.f64 x))) -1))
(+.f64 (sqrt.f64 (/.f64 x (log.f64 x))) 0)
(sqrt.f64 (/.f64 x (log.f64 x)))
(*.f64 (sqrt.f64 (/.f64 x (log.f64 x))) 1)
(+.f64 1 (+.f64 (sqrt.f64 (/.f64 x (log.f64 x))) -1))
(+.f64 (sqrt.f64 (/.f64 x (log.f64 x))) 0)
(sqrt.f64 (/.f64 x (log.f64 x)))
(*.f64 1 (sqrt.f64 (/.f64 x (log.f64 x))))
(+.f64 1 (+.f64 (sqrt.f64 (/.f64 x (log.f64 x))) -1))
(+.f64 (sqrt.f64 (/.f64 x (log.f64 x))) 0)
(sqrt.f64 (/.f64 x (log.f64 x)))
(*.f64 (cbrt.f64 (/.f64 x (log.f64 x))) (cbrt.f64 (sqrt.f64 (/.f64 x (log.f64 x)))))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 x (log.f64 x)))) (cbrt.f64 (/.f64 x (log.f64 x))))
(*.f64 (cbrt.f64 (/.f64 x (log.f64 x))) (cbrt.f64 (sqrt.f64 (/.f64 x (log.f64 x)))))
(*.f64 (pow.f64 (/.f64 x (log.f64 x)) 1/4) (pow.f64 (/.f64 x (log.f64 x)) 1/4))
(+.f64 1 (+.f64 (sqrt.f64 (/.f64 x (log.f64 x))) -1))
(+.f64 (sqrt.f64 (/.f64 x (log.f64 x))) 0)
(sqrt.f64 (/.f64 x (log.f64 x)))
(*.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 1 (log.f64 x))))
(*.f64 (sqrt.f64 x) (pow.f64 (/.f64 1 (log.f64 x)) 1/2))
(*.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 1 (log.f64 x))))
(*.f64 (sqrt.f64 x) (/.f64 1 (sqrt.f64 (log.f64 x))))
(/.f64 (sqrt.f64 x) (sqrt.f64 (log.f64 x)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 x (log.f64 x))) 2)) (sqrt.f64 (cbrt.f64 (/.f64 x (log.f64 x)))))
(*.f64 (fabs.f64 (cbrt.f64 (/.f64 x (log.f64 x)))) (sqrt.f64 (cbrt.f64 (/.f64 x (log.f64 x)))))
(*.f64 (cbrt.f64 (/.f64 x (log.f64 x))) (sqrt.f64 (cbrt.f64 (/.f64 x (log.f64 x)))))
(pow.f64 (cbrt.f64 (/.f64 x (log.f64 x))) 3/2)
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (/.f64 x (log.f64 x))))
(+.f64 1 (+.f64 (sqrt.f64 (/.f64 x (log.f64 x))) -1))
(+.f64 (sqrt.f64 (/.f64 x (log.f64 x))) 0)
(sqrt.f64 (/.f64 x (log.f64 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 x (log.f64 x))) 2) 1/2) (pow.f64 (cbrt.f64 (/.f64 x (log.f64 x))) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 x (log.f64 x))) 2)) (sqrt.f64 (cbrt.f64 (/.f64 x (log.f64 x)))))
(*.f64 (fabs.f64 (cbrt.f64 (/.f64 x (log.f64 x)))) (sqrt.f64 (cbrt.f64 (/.f64 x (log.f64 x)))))
(*.f64 (cbrt.f64 (/.f64 x (log.f64 x))) (sqrt.f64 (cbrt.f64 (/.f64 x (log.f64 x)))))
(pow.f64 (cbrt.f64 (/.f64 x (log.f64 x))) 3/2)
(/.f64 1 (sqrt.f64 (/.f64 (log.f64 x) x)))
(/.f64 1 (/.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (/.f64 1 (sqrt.f64 (log.f64 x))))
(/.f64 (sqrt.f64 x) (sqrt.f64 (log.f64 x)))
(/.f64 (sqrt.f64 x) (sqrt.f64 (log.f64 x)))
(*.f64 (sqrt.f64 x) (/.f64 1 (sqrt.f64 (log.f64 x))))
(/.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 (log.f64 x))))
(/.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 (log.f64 x))))
(*.f64 (sqrt.f64 x) (/.f64 1 (sqrt.f64 (log.f64 x))))
(/.f64 (sqrt.f64 x) (sqrt.f64 (log.f64 x)))
(pow.f64 (/.f64 x (log.f64 x)) 1/2)
(+.f64 1 (+.f64 (sqrt.f64 (/.f64 x (log.f64 x))) -1))
(+.f64 (sqrt.f64 (/.f64 x (log.f64 x))) 0)
(sqrt.f64 (/.f64 x (log.f64 x)))
(pow.f64 (sqrt.f64 (/.f64 x (log.f64 x))) 1)
(+.f64 1 (+.f64 (sqrt.f64 (/.f64 x (log.f64 x))) -1))
(+.f64 (sqrt.f64 (/.f64 x (log.f64 x))) 0)
(sqrt.f64 (/.f64 x (log.f64 x)))
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 x (log.f64 x)))) 3)
(+.f64 1 (+.f64 (sqrt.f64 (/.f64 x (log.f64 x))) -1))
(+.f64 (sqrt.f64 (/.f64 x (log.f64 x))) 0)
(sqrt.f64 (/.f64 x (log.f64 x)))
(pow.f64 (pow.f64 (/.f64 x (log.f64 x)) 3/2) 1/3)
(cbrt.f64 (pow.f64 (/.f64 x (log.f64 x)) 3/2))
(pow.f64 (pow.f64 (/.f64 x (log.f64 x)) 1/4) 2)
(+.f64 1 (+.f64 (sqrt.f64 (/.f64 x (log.f64 x))) -1))
(+.f64 (sqrt.f64 (/.f64 x (log.f64 x))) 0)
(sqrt.f64 (/.f64 x (log.f64 x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (/.f64 x (log.f64 x))))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 (/.f64 x (log.f64 x))))))
(+.f64 1 (+.f64 (sqrt.f64 (/.f64 x (log.f64 x))) -1))
(+.f64 (sqrt.f64 (/.f64 x (log.f64 x))) 0)
(sqrt.f64 (/.f64 x (log.f64 x)))
(pow.f64 (exp.f64 1) (log.f64 (sqrt.f64 (/.f64 x (log.f64 x)))))
(+.f64 1 (+.f64 (sqrt.f64 (/.f64 x (log.f64 x))) -1))
(+.f64 (sqrt.f64 (/.f64 x (log.f64 x))) 0)
(sqrt.f64 (/.f64 x (log.f64 x)))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 x (log.f64 x)))))) (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 x (log.f64 x))))))
(+.f64 1 (+.f64 (sqrt.f64 (/.f64 x (log.f64 x))) -1))
(+.f64 (sqrt.f64 (/.f64 x (log.f64 x))) 0)
(sqrt.f64 (/.f64 x (log.f64 x)))
(fabs.f64 (sqrt.f64 (/.f64 x (log.f64 x))))
(+.f64 1 (+.f64 (sqrt.f64 (/.f64 x (log.f64 x))) -1))
(+.f64 (sqrt.f64 (/.f64 x (log.f64 x))) 0)
(sqrt.f64 (/.f64 x (log.f64 x)))
(log.f64 (exp.f64 (sqrt.f64 (/.f64 x (log.f64 x)))))
(+.f64 1 (+.f64 (sqrt.f64 (/.f64 x (log.f64 x))) -1))
(+.f64 (sqrt.f64 (/.f64 x (log.f64 x))) 0)
(sqrt.f64 (/.f64 x (log.f64 x)))
(cbrt.f64 (pow.f64 (/.f64 x (log.f64 x)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 x (log.f64 x)))))
(+.f64 1 (+.f64 (sqrt.f64 (/.f64 x (log.f64 x))) -1))
(+.f64 (sqrt.f64 (/.f64 x (log.f64 x))) 0)
(sqrt.f64 (/.f64 x (log.f64 x)))
(exp.f64 (log.f64 (sqrt.f64 (/.f64 x (log.f64 x)))))
(+.f64 1 (+.f64 (sqrt.f64 (/.f64 x (log.f64 x))) -1))
(+.f64 (sqrt.f64 (/.f64 x (log.f64 x))) 0)
(sqrt.f64 (/.f64 x (log.f64 x)))
(log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 x (log.f64 x)))))
(+.f64 1 (+.f64 (sqrt.f64 (/.f64 x (log.f64 x))) -1))
(+.f64 (sqrt.f64 (/.f64 x (log.f64 x))) 0)
(sqrt.f64 (/.f64 x (log.f64 x)))
(+.f64 (log.f64 (pow.f64 (/.f64 x (log.f64 x)) 1/4)) (log.f64 (pow.f64 (/.f64 x (log.f64 x)) 1/4)))
(*.f64 2 (log.f64 (pow.f64 (/.f64 x (log.f64 x)) 1/4)))
(log.f64 (sqrt.f64 (/.f64 x (log.f64 x))))
(+.f64 0 (log.f64 (sqrt.f64 (/.f64 x (log.f64 x)))))
(*.f64 2 (log.f64 (pow.f64 (/.f64 x (log.f64 x)) 1/4)))
(log.f64 (sqrt.f64 (/.f64 x (log.f64 x))))
(+.f64 (log.f64 (cbrt.f64 (/.f64 x (log.f64 x)))) (log.f64 (cbrt.f64 (sqrt.f64 (/.f64 x (log.f64 x))))))
(-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (sqrt.f64 (log.f64 x))))
(-.f64 (+.f64 1 (log.f64 (sqrt.f64 (/.f64 x (log.f64 x))))) 1)
(*.f64 2 (log.f64 (pow.f64 (/.f64 x (log.f64 x)) 1/4)))
(log.f64 (sqrt.f64 (/.f64 x (log.f64 x))))
(*.f64 (log.f64 (sqrt.f64 (/.f64 x (log.f64 x)))) 1)
(*.f64 2 (log.f64 (pow.f64 (/.f64 x (log.f64 x)) 1/4)))
(log.f64 (sqrt.f64 (/.f64 x (log.f64 x))))
(*.f64 1 (log.f64 (sqrt.f64 (/.f64 x (log.f64 x)))))
(*.f64 2 (log.f64 (pow.f64 (/.f64 x (log.f64 x)) 1/4)))
(log.f64 (sqrt.f64 (/.f64 x (log.f64 x))))
(*.f64 (log.f64 (/.f64 x (log.f64 x))) 1/2)
(*.f64 2 (log.f64 (pow.f64 (/.f64 x (log.f64 x)) 1/4)))
(log.f64 (sqrt.f64 (/.f64 x (log.f64 x))))
(*.f64 (cbrt.f64 (log.f64 (sqrt.f64 (/.f64 x (log.f64 x))))) (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (/.f64 x (log.f64 x))))) 2))
(*.f64 2 (log.f64 (pow.f64 (/.f64 x (log.f64 x)) 1/4)))
(log.f64 (sqrt.f64 (/.f64 x (log.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (/.f64 x (log.f64 x))))) 2) (cbrt.f64 (log.f64 (sqrt.f64 (/.f64 x (log.f64 x))))))
(*.f64 2 (log.f64 (pow.f64 (/.f64 x (log.f64 x)) 1/4)))
(log.f64 (sqrt.f64 (/.f64 x (log.f64 x))))
(*.f64 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 x (log.f64 x))))) (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 x (log.f64 x))))))
(*.f64 2 (log.f64 (pow.f64 (/.f64 x (log.f64 x)) 1/4)))
(log.f64 (sqrt.f64 (/.f64 x (log.f64 x))))
(*.f64 1/2 (log.f64 (/.f64 x (log.f64 x))))
(*.f64 2 (log.f64 (pow.f64 (/.f64 x (log.f64 x)) 1/4)))
(log.f64 (sqrt.f64 (/.f64 x (log.f64 x))))
(pow.f64 (log.f64 (sqrt.f64 (/.f64 x (log.f64 x)))) 1)
(*.f64 2 (log.f64 (pow.f64 (/.f64 x (log.f64 x)) 1/4)))
(log.f64 (sqrt.f64 (/.f64 x (log.f64 x))))
(pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (/.f64 x (log.f64 x))))) 3)
(*.f64 2 (log.f64 (pow.f64 (/.f64 x (log.f64 x)) 1/4)))
(log.f64 (sqrt.f64 (/.f64 x (log.f64 x))))
(pow.f64 (pow.f64 (log.f64 (sqrt.f64 (/.f64 x (log.f64 x)))) 3) 1/3)
(*.f64 2 (log.f64 (pow.f64 (/.f64 x (log.f64 x)) 1/4)))
(log.f64 (sqrt.f64 (/.f64 x (log.f64 x))))
(pow.f64 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 x (log.f64 x))))) 2)
(*.f64 2 (log.f64 (pow.f64 (/.f64 x (log.f64 x)) 1/4)))
(log.f64 (sqrt.f64 (/.f64 x (log.f64 x))))
(sqrt.f64 (pow.f64 (log.f64 (sqrt.f64 (/.f64 x (log.f64 x)))) 2))
(*.f64 2 (log.f64 (pow.f64 (/.f64 x (log.f64 x)) 1/4)))
(log.f64 (sqrt.f64 (/.f64 x (log.f64 x))))
(cbrt.f64 (pow.f64 (log.f64 (sqrt.f64 (/.f64 x (log.f64 x)))) 3))
(*.f64 2 (log.f64 (pow.f64 (/.f64 x (log.f64 x)) 1/4)))
(log.f64 (sqrt.f64 (/.f64 x (log.f64 x))))
(expm1.f64 (log1p.f64 (log.f64 (sqrt.f64 (/.f64 x (log.f64 x))))))
(*.f64 2 (log.f64 (pow.f64 (/.f64 x (log.f64 x)) 1/4)))
(log.f64 (sqrt.f64 (/.f64 x (log.f64 x))))
(exp.f64 (log.f64 (log.f64 (sqrt.f64 (/.f64 x (log.f64 x))))))
(*.f64 2 (log.f64 (pow.f64 (/.f64 x (log.f64 x)) 1/4)))
(log.f64 (sqrt.f64 (/.f64 x (log.f64 x))))
(log1p.f64 (-.f64 (sqrt.f64 (/.f64 x (log.f64 x))) 1))
(*.f64 2 (log.f64 (pow.f64 (/.f64 x (log.f64 x)) 1/4)))
(log.f64 (sqrt.f64 (/.f64 x (log.f64 x))))

eval43.0ms (1.1%)

Compiler

Compiled 2240 to 1082 computations (51.7% saved)

prune22.0ms (0.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1810181
Fresh000
Picked011
Done022
Total1813184
Accurracy
100.0%
Counts
184 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(*.f64 (log.f64 (sqrt.f64 (/.f64 x (log.f64 x)))) 2)
✓100.0%
(neg.f64 (log.f64 (/.f64 (log.f64 x) x)))
✓100.0%
(log.f64 (/.f64 x (log.f64 x)))
Compiler

Compiled 56 to 32 computations (42.9% saved)

regimes16.0ms (0.4%)

Counts
5 → 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)))
(*.f64 (log.f64 (sqrt.f64 (/.f64 x (log.f64 x)))) 2)
(pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 3)
Outputs
(neg.f64 (log.f64 (/.f64 (log.f64 x) x)))
Calls

3 calls:

6.0ms
(log.f64 x)
4.0ms
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
4.0ms
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 46 to 23 computations (50% 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:

2.0ms
x
Results
AccuracySegmentsBranch
100.0%1x
Compiler

Compiled 8 to 5 computations (37.5% saved)

simplify330.0ms (8.7%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01034
11434
21634
31734
Stop Event
1×done
1×saturated
Calls
Call 1
Inputs
(neg.f64 (log.f64 (/.f64 (log.f64 x) x)))
(log.f64 (/.f64 x (log.f64 x)))
Outputs
(neg.f64 (log.f64 (/.f64 (log.f64 x) x)))
(log.f64 (/.f64 x (log.f64 x)))
Compiler

Compiled 13 to 9 computations (30.8% saved)

soundness621.0ms (16.3%)

Rules
1720×pow1
1670×fma-def
1602×add-exp-log
1602×log1p-expm1-u
1602×expm1-log1p-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0724
114324
2192124
01034
120334
2223534
01352421
13121589
212161589
373601589
Stop Event
1×node limit
1×node limit
1×node limit
Compiler

Compiled 152 to 77 computations (49.3% saved)

end26.0ms (0.7%)

Compiler

Compiled 38 to 22 computations (42.1% saved)

Profiling

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