Jmat.Real.lambertw, estimator

Time bar (total: 3.1s)

analyze2.0ms (0%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%50%0%0%50%0%2
50%25%25%0%0%50%0%3
66.7%25%12.5%0%0%62.5%0%4
80%25%6.2%0%0%68.7%0%5
88.9%25%3.1%0%0%71.8%0%6
94.1%25%1.6%0%0%73.4%0%7
97%25%0.8%0%0%74.2%0%8
98.5%25%0.4%0%0%74.6%0%9
99.2%25%0.2%0%0%74.8%0%10
99.6%25%0.1%0%0%74.9%0%11
99.8%25%0%0%0%74.9%0%12
Compiler

Compiled 8 to 5 computations (37.5% saved)

sample953.0ms (30.4%)

Results
940.0ms8256×body256valid
1.0ms14×body256invalid
Bogosity

preprocess270.0ms (8.6%)

Algorithm
egg-herbie
Rules
2960×fma-def
1870×fma-neg
1716×associate-+r+
1460×distribute-rgt-in
1330×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01146
11946
22946
35346
49146
515546
628146
746946
873746
9146146
10263546
11428846
12457846
13460346
14461946
15461946
16554746
17592246
18652846
19720946
20738946
21748546
22752746
23755546
24759546
25764746
Stop Event
node limit
Calls
Call 1
Inputs
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(-.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 (neg.f64 x)) (log.f64 (log.f64 (neg.f64 x))))
Compiler

Compiled 8 to 5 computations (37.5% saved)

simplify198.0ms (6.3%)

Algorithm
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
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)))
99.6%
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
Compiler

Compiled 14 to 8 computations (42.9% saved)

localize27.0ms (0.9%)

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)

series114.0ms (3.6%)

Counts
2 → 16
Calls

6 calls:

TimeVariablePointExpression
51.0ms
x
@0
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
43.0ms
x
@-inf
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
20.0ms
x
@inf
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
0.0ms
x
@-inf
(log.f64 (log.f64 x))
0.0ms
x
@0
(log.f64 (log.f64 x))

rewrite63.0ms (2%)

Algorithm
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
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))

simplify85.0ms (2.7%)

Algorithm
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
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)))))
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eval18.0ms (0.6%)

Compiler

Compiled 904 to 376 computations (58.4% saved)

prune13.0ms (0.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New69271
Fresh000
Picked101
Done000
Total70272
Accurracy
100.0%
Counts
72 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(log.f64 (/.f64 x (log.f64 x)))
98.2%
(expm1.f64 (log1p.f64 (log.f64 (/.f64 x (log.f64 x)))))
100.0%
(log.f64 (/.f64 x (log.f64 x)))
98.2%
(expm1.f64 (log1p.f64 (log.f64 (/.f64 x (log.f64 x)))))
Compiler

Compiled 28 to 20 computations (28.6% saved)

localize67.0ms (2.1%)

Local Accuracy

Found 6 expressions with local accuracy:

NewAccuracyProgram
100.0%
(log.f64 (/.f64 x (log.f64 x)))
99.6%
(/.f64 x (log.f64 x))
100.0%
(log.f64 (/.f64 x (log.f64 x)))
99.9%
(log1p.f64 (log.f64 (/.f64 x (log.f64 x))))
99.6%
(/.f64 x (log.f64 x))
98.2%
(expm1.f64 (log1p.f64 (log.f64 (/.f64 x (log.f64 x)))))
Compiler

Compiled 39 to 7 computations (82.1% saved)

series189.0ms (6%)

Counts
6 → 64
Calls

18 calls:

TimeVariablePointExpression
56.0ms
x
@0
(log1p.f64 (log.f64 (/.f64 x (log.f64 x))))
38.0ms
x
@inf
(expm1.f64 (log1p.f64 (log.f64 (/.f64 x (log.f64 x)))))
34.0ms
x
@inf
(log1p.f64 (log.f64 (/.f64 x (log.f64 x))))
24.0ms
x
@-inf
(expm1.f64 (log1p.f64 (log.f64 (/.f64 x (log.f64 x)))))
18.0ms
x
@-inf
(log1p.f64 (log.f64 (/.f64 x (log.f64 x))))

rewrite379.0ms (12.1%)

Algorithm
batch-egg-rewrite
Rules
1542×pow1
1416×log1p-expm1-u
1414×add-exp-log
1414×expm1-log1p-u
1376×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0986
115886
2192586
Stop Event
node limit
Counts
6 → 176
Calls
Call 1
Inputs
(expm1.f64 (log1p.f64 (log.f64 (/.f64 x (log.f64 x)))))
(/.f64 x (log.f64 x))
(log1p.f64 (log.f64 (/.f64 x (log.f64 x))))
(log.f64 (/.f64 x (log.f64 x)))
(/.f64 x (log.f64 x))
(log.f64 (/.f64 x (log.f64 x)))
Outputs
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))
(+.f64 (+.f64 (log.f64 (/.f64 x (log.f64 x))) 1) -1)
(+.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 0 (log.f64 (/.f64 x (log.f64 x))))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(-.f64 (+.f64 (log.f64 (/.f64 x (log.f64 x))) 1) 1)
(-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 (log.f64 x))))
(-.f64 0 (log.f64 (/.f64 (log.f64 x) 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 (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 (+.f64 (log.f64 (/.f64 x (log.f64 x))) 1) 3) 1) (+.f64 (*.f64 (+.f64 (log.f64 (/.f64 x (log.f64 x))) 1) (+.f64 (log.f64 (/.f64 x (log.f64 x))) 1)) (+.f64 1 (*.f64 (+.f64 (log.f64 (/.f64 x (log.f64 x))) 1) 1))))
(/.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))))
(/.f64 (-.f64 (*.f64 (+.f64 (log.f64 (/.f64 x (log.f64 x))) 1) (+.f64 (log.f64 (/.f64 x (log.f64 x))) 1)) 1) (+.f64 (+.f64 (log.f64 (/.f64 x (log.f64 x))) 1) 1))
(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)
(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))
(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 1 (-.f64 (/.f64 x (log.f64 x)) 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)
(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 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))) (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))))
(neg.f64 (/.f64 x (neg.f64 (log.f64 x))))
(sqrt.f64 (pow.f64 (/.f64 x (log.f64 x)) 2))
(log.f64 (exp.f64 (/.f64 x (log.f64 x))))
(cbrt.f64 (pow.f64 (/.f64 x (log.f64 x)) 3))
(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))))
(-.f64 (+.f64 1 (log1p.f64 (log.f64 (/.f64 x (log.f64 x))))) 1)
(*.f64 (log1p.f64 (log.f64 (/.f64 x (log.f64 x)))) 1)
(*.f64 1 (log1p.f64 (log.f64 (/.f64 x (log.f64 x)))))
(*.f64 (cbrt.f64 (log1p.f64 (log.f64 (/.f64 x (log.f64 x))))) (pow.f64 (cbrt.f64 (log1p.f64 (log.f64 (/.f64 x (log.f64 x))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (log.f64 (/.f64 x (log.f64 x))))) 2) (cbrt.f64 (log1p.f64 (log.f64 (/.f64 x (log.f64 x))))))
(*.f64 (sqrt.f64 (log1p.f64 (log.f64 (/.f64 x (log.f64 x))))) (sqrt.f64 (log1p.f64 (log.f64 (/.f64 x (log.f64 x))))))
(pow.f64 (log1p.f64 (log.f64 (/.f64 x (log.f64 x)))) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (log.f64 (/.f64 x (log.f64 x))))) 3)
(pow.f64 (pow.f64 (log1p.f64 (log.f64 (/.f64 x (log.f64 x)))) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (log.f64 (/.f64 x (log.f64 x))))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (log.f64 (/.f64 x (log.f64 x)))) 2))
(log.f64 (+.f64 (log.f64 (/.f64 x (log.f64 x))) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (log.f64 (/.f64 x (log.f64 x)))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (log.f64 (/.f64 x (log.f64 x))))))
(exp.f64 (log.f64 (log1p.f64 (log.f64 (/.f64 x (log.f64 x))))))
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))
(+.f64 (+.f64 (log.f64 (/.f64 x (log.f64 x))) 1) -1)
(+.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 0 (log.f64 (/.f64 x (log.f64 x))))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(-.f64 (+.f64 (log.f64 (/.f64 x (log.f64 x))) 1) 1)
(-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 (log.f64 x))))
(-.f64 0 (log.f64 (/.f64 (log.f64 x) 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 (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 (+.f64 (log.f64 (/.f64 x (log.f64 x))) 1) 3) 1) (+.f64 (*.f64 (+.f64 (log.f64 (/.f64 x (log.f64 x))) 1) (+.f64 (log.f64 (/.f64 x (log.f64 x))) 1)) (+.f64 1 (*.f64 (+.f64 (log.f64 (/.f64 x (log.f64 x))) 1) 1))))
(/.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))))
(/.f64 (-.f64 (*.f64 (+.f64 (log.f64 (/.f64 x (log.f64 x))) 1) (+.f64 (log.f64 (/.f64 x (log.f64 x))) 1)) 1) (+.f64 (+.f64 (log.f64 (/.f64 x (log.f64 x))) 1) 1))
(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)
(neg.f64 (log.f64 (/.f64 (log.f64 x) x)))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 2))
(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 1 (-.f64 (/.f64 x (log.f64 x)) 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)
(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 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))) (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))))
(neg.f64 (/.f64 x (neg.f64 (log.f64 x))))
(sqrt.f64 (pow.f64 (/.f64 x (log.f64 x)) 2))
(log.f64 (exp.f64 (/.f64 x (log.f64 x))))
(cbrt.f64 (pow.f64 (/.f64 x (log.f64 x)) 3))
(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))))
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))
(+.f64 (+.f64 (log.f64 (/.f64 x (log.f64 x))) 1) -1)
(+.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 0 (log.f64 (/.f64 x (log.f64 x))))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(-.f64 (+.f64 (log.f64 (/.f64 x (log.f64 x))) 1) 1)
(-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 (log.f64 x))))
(-.f64 0 (log.f64 (/.f64 (log.f64 x) 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 (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 (+.f64 (log.f64 (/.f64 x (log.f64 x))) 1) 3) 1) (+.f64 (*.f64 (+.f64 (log.f64 (/.f64 x (log.f64 x))) 1) (+.f64 (log.f64 (/.f64 x (log.f64 x))) 1)) (+.f64 1 (*.f64 (+.f64 (log.f64 (/.f64 x (log.f64 x))) 1) 1))))
(/.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))))
(/.f64 (-.f64 (*.f64 (+.f64 (log.f64 (/.f64 x (log.f64 x))) 1) (+.f64 (log.f64 (/.f64 x (log.f64 x))) 1)) 1) (+.f64 (+.f64 (log.f64 (/.f64 x (log.f64 x))) 1) 1))
(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)
(neg.f64 (log.f64 (/.f64 (log.f64 x) x)))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 2))
(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))))

simplify82.0ms (2.6%)

Algorithm
egg-herbie
Rules
1834×fma-def
1166×unswap-sqr
848×associate-+r+
826×associate-+l+
686×times-frac
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02025418
14744734
217344662
Stop Event
node limit
Counts
240 → 105
Calls
Call 1
Inputs
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(*.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)
(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 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))) (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))))
(neg.f64 (/.f64 x (neg.f64 (log.f64 x))))
(sqrt.f64 (pow.f64 (/.f64 x (log.f64 x)) 2))
(log.f64 (exp.f64 (/.f64 x (log.f64 x))))
(cbrt.f64 (pow.f64 (/.f64 x (log.f64 x)) 3))
(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))))
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))
(+.f64 (+.f64 (log.f64 (/.f64 x (log.f64 x))) 1) -1)
(+.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 0 (log.f64 (/.f64 x (log.f64 x))))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(-.f64 (+.f64 (log.f64 (/.f64 x (log.f64 x))) 1) 1)
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(-.f64 0 (log.f64 (/.f64 (log.f64 x) 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 (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 (+.f64 (log.f64 (/.f64 x (log.f64 x))) 1) 3) 1) (+.f64 (*.f64 (+.f64 (log.f64 (/.f64 x (log.f64 x))) 1) (+.f64 (log.f64 (/.f64 x (log.f64 x))) 1)) (+.f64 1 (*.f64 (+.f64 (log.f64 (/.f64 x (log.f64 x))) 1) 1))))
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(pow.f64 (log.f64 (/.f64 x (log.f64 x))) 1)
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(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))))
Outputs
(+.f64 (log.f64 (/.f64 1 (log.f64 x))) (log.f64 x))
(log.f64 (/.f64 x (log.f64 x)))
(+.f64 (log.f64 (/.f64 1 (log.f64 x))) (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)))
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(log.f64 (/.f64 x (log.f64 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 -1 (log.f64 (/.f64 1 x)))))
(log.f64 (/.f64 x (log.f64 x)))
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(fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 (/.f64 -1 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))))
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(/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 x (log.f64 x)))) 3) -1) (fma.f64 (+.f64 1 (log.f64 (/.f64 x (log.f64 x)))) (+.f64 1 (log.f64 (/.f64 x (log.f64 x)))) (+.f64 (log.f64 (/.f64 x (log.f64 x))) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (/.f64 x (log.f64 x)))) 3)) (fma.f64 (+.f64 1 (log.f64 (/.f64 x (log.f64 x)))) (+.f64 1 (log.f64 (/.f64 x (log.f64 x)))) (+.f64 (log.f64 (/.f64 x (log.f64 x))) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (/.f64 x (log.f64 x)))) 3)) (+.f64 1 (*.f64 (+.f64 1 (log.f64 (/.f64 x (log.f64 x)))) (+.f64 (log.f64 (/.f64 x (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))))
(/.f64 (-.f64 (*.f64 (+.f64 (log.f64 (/.f64 x (log.f64 x))) 1) (+.f64 (log.f64 (/.f64 x (log.f64 x))) 1)) 1) (+.f64 (+.f64 (log.f64 (/.f64 x (log.f64 x))) 1) 1))
(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))) 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)))
(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))
(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))
(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 (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 1 (-.f64 (/.f64 x (log.f64 x)) 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))
(pow.f64 (exp.f64 1) (log.f64 (/.f64 x (log.f64 x))))
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x)))
(/.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)))))
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x)))
(/.f64 x (log.f64 x))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))) (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))))
(/.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))
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))
(log.f64 (/.f64 x (log.f64 x)))
(+.f64 (+.f64 (log.f64 (/.f64 x (log.f64 x))) 1) -1)
(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)))))
(log.f64 (/.f64 x (log.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 x (log.f64 x))) 2)) (log.f64 (cbrt.f64 (/.f64 x (log.f64 x)))))
(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 x) (log.f64 (log.f64 x)))
(log.f64 (/.f64 x (log.f64 x)))
(-.f64 (+.f64 (log.f64 (/.f64 x (log.f64 x))) 1) 1)
(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 0 (log.f64 (/.f64 (log.f64 x) x)))
(log.f64 (/.f64 x (log.f64 x)))
(*.f64 (log.f64 (/.f64 x (log.f64 x))) 1)
(log.f64 (/.f64 x (log.f64 x)))
(*.f64 1 (log.f64 (/.f64 x (log.f64 x))))
(log.f64 (/.f64 x (log.f64 x)))
(*.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2))
(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 (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 (-.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 (+.f64 (log.f64 (/.f64 x (log.f64 x))) 1) 3) 1) (+.f64 (*.f64 (+.f64 (log.f64 (/.f64 x (log.f64 x))) 1) (+.f64 (log.f64 (/.f64 x (log.f64 x))) 1)) (+.f64 1 (*.f64 (+.f64 (log.f64 (/.f64 x (log.f64 x))) 1) 1))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 x (log.f64 x)))) 3) -1) (fma.f64 (+.f64 1 (log.f64 (/.f64 x (log.f64 x)))) (+.f64 1 (log.f64 (/.f64 x (log.f64 x)))) (+.f64 (log.f64 (/.f64 x (log.f64 x))) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (/.f64 x (log.f64 x)))) 3)) (fma.f64 (+.f64 1 (log.f64 (/.f64 x (log.f64 x)))) (+.f64 1 (log.f64 (/.f64 x (log.f64 x)))) (+.f64 (log.f64 (/.f64 x (log.f64 x))) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (/.f64 x (log.f64 x)))) 3)) (+.f64 1 (*.f64 (+.f64 1 (log.f64 (/.f64 x (log.f64 x)))) (+.f64 (log.f64 (/.f64 x (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))))
(/.f64 (-.f64 (*.f64 (+.f64 (log.f64 (/.f64 x (log.f64 x))) 1) (+.f64 (log.f64 (/.f64 x (log.f64 x))) 1)) 1) (+.f64 (+.f64 (log.f64 (/.f64 x (log.f64 x))) 1) 1))
(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))) 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)))
(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))
(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))
(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 (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)))

eval33.0ms (1%)

Compiler

Compiled 1803 to 833 computations (53.8% saved)

prune20.0ms (0.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1461147
Fresh000
Picked112
Done000
Total1472149
Accurracy
100.0%
Counts
149 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(neg.f64 (log.f64 (/.f64 (log.f64 x) x)))
100.0%
(log.f64 (/.f64 x (log.f64 x)))
100.0%
(neg.f64 (log.f64 (/.f64 (log.f64 x) x)))
100.0%
(log.f64 (/.f64 x (log.f64 x)))
Compiler

Compiled 26 to 18 computations (30.8% saved)

localize45.0ms (1.4%)

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)

series31.0ms (1%)

Counts
2 → 20
Calls

6 calls:

TimeVariablePointExpression
14.0ms
x
@-inf
(log.f64 (/.f64 (log.f64 x) x))
9.0ms
x
@inf
(log.f64 (/.f64 (log.f64 x) x))
7.0ms
x
@0
(log.f64 (/.f64 (log.f64 x) x))
0.0ms
x
@-inf
(/.f64 (log.f64 x) x)
0.0ms
x
@0
(/.f64 (log.f64 x) x)

rewrite62.0ms (2%)

Algorithm
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
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))

simplify75.0ms (2.4%)

Algorithm
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
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)))
(log.f64 (/.f64 (log.f64 x) x))
(-.f64 (log.f64 (log.f64 x)) (log.f64 x))
(log.f64 (/.f64 (log.f64 x) x))
(-.f64 (log.f64 (neg.f64 (log.f64 x))) (log.f64 (neg.f64 x)))
(log.f64 (/.f64 (log.f64 x) x))
(-.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))))
(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))))
(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))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (log.f64 x)) 3) (pow.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 (*.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))))
(/.f64 (*.f64 (+.f64 (log.f64 x) (log.f64 (log.f64 x))) (log.f64 (/.f64 (log.f64 x) x))) (+.f64 (log.f64 x) (log.f64 (log.f64 x))))
(/.f64 (*.f64 (log.f64 (/.f64 (log.f64 x) x)) (+.f64 (log.f64 x) (log.f64 (log.f64 x)))) (+.f64 (log.f64 x) (log.f64 (log.f64 x))))
(pow.f64 (log.f64 (/.f64 (log.f64 x) x)) 1)
(log.f64 (/.f64 (log.f64 x) x))
(pow.f64 (cbrt.f64 (log.f64 (/.f64 (log.f64 x) x))) 3)
(log.f64 (/.f64 (log.f64 x) x))
(pow.f64 (pow.f64 (log.f64 (/.f64 (log.f64 x) x)) 3) 1/3)
(log.f64 (/.f64 (log.f64 x) x))
(pow.f64 (sqrt.f64 (log.f64 (/.f64 (log.f64 x) x))) 2)
(log.f64 (/.f64 (log.f64 x) x))
(neg.f64 (log.f64 (/.f64 x (log.f64 x))))
(log.f64 (/.f64 (log.f64 x) x))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 (log.f64 x) x)) 2))
(log.f64 (/.f64 (log.f64 x) x))
(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))

eval23.0ms (0.7%)

Compiler

Compiled 1053 to 494 computations (53.1% saved)

prune12.0ms (0.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New85085
Fresh000
Picked011
Done011
Total85287
Accurracy
100.0%
Counts
87 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(neg.f64 (log.f64 (/.f64 (log.f64 x) x)))
100.0%
(log.f64 (/.f64 x (log.f64 x)))
Compiler

Compiled 38 to 20 computations (47.4% saved)

regimes14.0ms (0.4%)

Counts
4 → 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)))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 x (log.f64 x)))))
Outputs
(neg.f64 (log.f64 (/.f64 (log.f64 x) x)))
Calls

3 calls:

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

Compiled 37 to 18 computations (51.4% 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 8 to 5 computations (37.5% saved)

simplify5.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

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

Compiled 13 to 9 computations (30.8% saved)

soundness325.0ms (10.4%)

Rules
1670×fma-def
1550×pow1
1542×pow1
1434×add-exp-log
1434×log1p-expm1-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0724
114324
2192124
0986
115886
2192586
01352421
13121589
212161589
373601589
Stop Event
node limit
node limit
node limit
Compiler

Compiled 126 to 72 computations (42.9% saved)

end0.0ms (0%)

preprocess24.0ms (0.8%)

Compiler

Compiled 38 to 22 computations (42.1% saved)

Profiling

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