Jmat.Real.lambertw, estimator

Time bar (total: 2.8s)

analyze2.0ms (0.1%)

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

Compiled 8 to 5 computations (37.5% saved)

sample1.1s (40.9%)

Results
1.1s8256×body256valid
1.0ms15×body256invalid
Bogosity

preprocess266.0ms (9.7%)

Algorithm
1×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
1×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)

simplify203.0ms (7.3%)

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

Compiled 14 to 8 computations (42.9% saved)

localize28.0ms (1%)

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)

series111.0ms (4%)

Counts
2 → 16
Calls

6 calls:

TimeVariablePointExpression
45.0ms
x
@0
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
44.0ms
x
@-inf
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
22.0ms
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))

rewrite66.0ms (2.4%)

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))

simplify75.0ms (2.7%)

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)))))
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eval17.0ms (0.6%)

Compiler

Compiled 904 to 376 computations (58.4% saved)

prune9.0ms (0.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New70171
Fresh000
Picked011
Done000
Total70272
Accurracy
100.0%
Counts
72 → 2
Alt Table
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StatusAccuracyProgram
✓99.6%
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
▶100.0%
(log.f64 (/.f64 x (log.f64 x)))
✓99.6%
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
▶100.0%
(log.f64 (/.f64 x (log.f64 x)))
Compiler

Compiled 26 to 16 computations (38.5% saved)

localize45.0ms (1.6%)

Local Accuracy

Found 2 expressions with local accuracy:

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

Compiled 14 to 5 computations (64.3% saved)

series61.0ms (2.2%)

Counts
2 → 20
Calls

6 calls:

TimeVariablePointExpression
15.0ms
x
@-inf
(log.f64 (/.f64 x (log.f64 x)))
15.0ms
x
@inf
(log.f64 (/.f64 x (log.f64 x)))
14.0ms
x
@0
(log.f64 (/.f64 x (log.f64 x)))
9.0ms
x
@-inf
(/.f64 x (log.f64 x))
7.0ms
x
@inf
(/.f64 x (log.f64 x))

rewrite84.0ms (3.1%)

Algorithm
1×batch-egg-rewrite
Rules
1380×pow1
1266×add-exp-log
1266×log1p-expm1-u
1266×expm1-log1p-u
1230×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0726
113626
2171726
Stop Event
1×node limit
Counts
2 → 62
Calls
Call 1
Inputs
(/.f64 x (log.f64 x))
(log.f64 (/.f64 x (log.f64 x)))
Outputs
(+.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 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))) (sqrt.f64 (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 1) (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 (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 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 (log.f64 x))))
(-.f64 0 (log.f64 (/.f64 (log.f64 x) x)))
(-.f64 (+.f64 1 (log.f64 (/.f64 x (log.f64 x)))) 1)
(*.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 (log.f64 x) 2) (*.f64 (log.f64 (log.f64 x)) (log.f64 (log.f64 x)))) (+.f64 (log.f64 x) (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)
(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))))

simplify67.0ms (2.4%)

Algorithm
1×egg-herbie
Rules
1550×log-prod
1302×fma-neg
964×fma-def
890×unswap-sqr
534×times-frac
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01611732
13661408
211801408
368571408
Stop Event
1×node limit
Counts
82 → 77
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 (log.f64 (/.f64 1 (log.f64 x))) (log.f64 x))
(+.f64 (log.f64 (/.f64 1 (log.f64 x))) (log.f64 x))
(+.f64 (log.f64 (/.f64 1 (log.f64 x))) (log.f64 x))
(+.f64 (log.f64 (/.f64 1 (log.f64 x))) (log.f64 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 -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 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))
(+.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 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))) (sqrt.f64 (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 1) (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 (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 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 (log.f64 x))))
(-.f64 0 (log.f64 (/.f64 (log.f64 x) x)))
(-.f64 (+.f64 1 (log.f64 (/.f64 x (log.f64 x)))) 1)
(*.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 (log.f64 x) 2) (*.f64 (log.f64 (log.f64 x)) (log.f64 (log.f64 x)))) (+.f64 (log.f64 x) (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)
(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))))
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 x (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))
(/.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(/.f64 x (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(/.f64 x (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))
(/.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(/.f64 x (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(/.f64 x (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))
(/.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(/.f64 x (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(/.f64 x (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))
(/.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(+.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)))
(+.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)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 -1 (log.f64 (/.f64 1 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)))))
(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)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 -1 (log.f64 (/.f64 1 x)))))
(log.f64 (/.f64 x (log.f64 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 (/.f64 -1 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))))
(-.f64 (log.f64 (/.f64 -1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (log.f64 (/.f64 -1 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 (/.f64 -1 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))))
(-.f64 (log.f64 (/.f64 -1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (log.f64 (/.f64 -1 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 (/.f64 -1 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))))
(-.f64 (log.f64 (/.f64 -1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (log.f64 (/.f64 -1 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 (/.f64 -1 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))))
(-.f64 (log.f64 (/.f64 -1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (log.f64 (/.f64 -1 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 (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))
(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 1) (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 (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 (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 (+.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 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 (log.f64 x) 2) (*.f64 (log.f64 (log.f64 x)) (log.f64 (log.f64 x)))) (+.f64 (log.f64 x) (log.f64 (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)))

eval30.0ms (1.1%)

Compiler

Compiled 835 to 363 computations (56.5% saved)

prune9.0ms (0.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New76177
Fresh000
Picked011
Done101
Total77279
Accurracy
100.0%
Counts
79 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(log.f64 (/.f64 x (log.f64 x)))
▶100.0%
(log.f64 (*.f64 -1 (/.f64 x (log.f64 (/.f64 1 x)))))
✓100.0%
(log.f64 (/.f64 x (log.f64 x)))
▶100.0%
(log.f64 (*.f64 -1 (/.f64 x (log.f64 (/.f64 1 x)))))
Compiler

Compiled 32 to 24 computations (25% saved)

localize71.0ms (2.6%)

Local Accuracy

Found 3 expressions with local accuracy:

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

Compiled 35 to 26 computations (25.7% saved)

series86.0ms (3.1%)

Counts
3 → 28
Calls

9 calls:

TimeVariablePointExpression
50.0ms
x
@-inf
(log.f64 (*.f64 -1 (/.f64 x (log.f64 (/.f64 1 x)))))
13.0ms
x
@-inf
(/.f64 x (log.f64 (/.f64 1 x)))
9.0ms
x
@inf
(log.f64 (*.f64 -1 (/.f64 x (log.f64 (/.f64 1 x)))))
7.0ms
x
@inf
(/.f64 x (log.f64 (/.f64 1 x)))
7.0ms
x
@0
(log.f64 (*.f64 -1 (/.f64 x (log.f64 (/.f64 1 x)))))

rewrite75.0ms (2.7%)

Algorithm
1×batch-egg-rewrite
Rules
1766×pow1
1624×add-exp-log
1622×log1p-expm1-u
1622×expm1-log1p-u
1584×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01147
121643
2260543
Stop Event
1×node limit
Counts
3 → 105
Calls
Call 1
Inputs
(/.f64 x (log.f64 (/.f64 1 x)))
(log.f64 (/.f64 1 x))
(log.f64 (*.f64 -1 (/.f64 x (log.f64 (/.f64 1 x)))))
Outputs
(+.f64 1 (-.f64 (/.f64 x (neg.f64 (log.f64 x))) 1))
(-.f64 0 (/.f64 x (neg.f64 (log.f64 x))))
(-.f64 (+.f64 1 (/.f64 x (neg.f64 (log.f64 x)))) 1)
(*.f64 x (/.f64 -1 (log.f64 x)))
(*.f64 x (neg.f64 (/.f64 -1 (log.f64 x))))
(*.f64 x (*.f64 (/.f64 -1 (log.f64 x)) -1))
(*.f64 1 (/.f64 x (neg.f64 (log.f64 x))))
(*.f64 (/.f64 x (neg.f64 (log.f64 x))) 1)
(*.f64 (/.f64 x (neg.f64 (log.f64 x))) -1)
(*.f64 -1 (/.f64 x (neg.f64 (log.f64 x))))
(*.f64 (cbrt.f64 (/.f64 x (neg.f64 (log.f64 x)))) (pow.f64 (cbrt.f64 (/.f64 x (neg.f64 (log.f64 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (neg.f64 (log.f64 x)))) 2) (cbrt.f64 (/.f64 x (neg.f64 (log.f64 x)))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (neg.f64 (log.f64 x)))) 2) (neg.f64 (cbrt.f64 (/.f64 x (neg.f64 (log.f64 x))))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 -1 (log.f64 x))))
(*.f64 (sqrt.f64 (/.f64 x (neg.f64 (log.f64 x)))) (sqrt.f64 (/.f64 x (neg.f64 (log.f64 x)))))
(*.f64 (sqrt.f64 (/.f64 x (neg.f64 (log.f64 x)))) (neg.f64 (sqrt.f64 (/.f64 x (neg.f64 (log.f64 x))))))
(*.f64 (sqrt.f64 (/.f64 x (neg.f64 (log.f64 x)))) (*.f64 (sqrt.f64 (/.f64 x (neg.f64 (log.f64 x)))) -1))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 -1 (log.f64 x))))
(*.f64 (neg.f64 x) (/.f64 -1 (log.f64 x)))
(*.f64 (neg.f64 x) (/.f64 1 (log.f64 x)))
(*.f64 (/.f64 -1 (log.f64 x)) x)
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 (log.f64 x) (log.f64 x)))) (/.f64 x (cbrt.f64 (neg.f64 (log.f64 x)))))
(*.f64 (/.f64 1 (sqrt.f64 (neg.f64 (log.f64 x)))) (/.f64 x (sqrt.f64 (neg.f64 (log.f64 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (neg.f64 (log.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (*.f64 (log.f64 x) (log.f64 x)))) (cbrt.f64 (/.f64 x (neg.f64 (log.f64 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (neg.f64 (log.f64 x)))) (/.f64 (cbrt.f64 x) (sqrt.f64 (neg.f64 (log.f64 x)))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (neg.f64 (log.f64 x))))
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (*.f64 (log.f64 x) (log.f64 x)))) (/.f64 (sqrt.f64 x) (cbrt.f64 (neg.f64 (log.f64 x)))))
(*.f64 (/.f64 -1 (cbrt.f64 (*.f64 (log.f64 x) (log.f64 x)))) (/.f64 x (cbrt.f64 (neg.f64 (log.f64 x)))))
(*.f64 (/.f64 -1 (sqrt.f64 (neg.f64 (log.f64 x)))) (/.f64 x (sqrt.f64 (neg.f64 (log.f64 x)))))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 x (neg.f64 (log.f64 x)))) 2)) (cbrt.f64 (/.f64 x (neg.f64 (log.f64 x)))))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 x (neg.f64 (log.f64 x))))) (sqrt.f64 (/.f64 x (neg.f64 (log.f64 x)))))
(*.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (/.f64 x (neg.f64 (log.f64 x)))) 2)) (cbrt.f64 (/.f64 x (neg.f64 (log.f64 x)))))
(*.f64 (*.f64 -1 (sqrt.f64 (/.f64 x (neg.f64 (log.f64 x))))) (sqrt.f64 (/.f64 x (neg.f64 (log.f64 x)))))
(pow.f64 (/.f64 x (neg.f64 (log.f64 x))) 1)
(pow.f64 (E.f64) (log.f64 (/.f64 x (neg.f64 (log.f64 x)))))
(pow.f64 (cbrt.f64 (/.f64 x (neg.f64 (log.f64 x)))) 3)
(pow.f64 (pow.f64 (/.f64 x (neg.f64 (log.f64 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 x (neg.f64 (log.f64 x)))) 2)
(pow.f64 (/.f64 (neg.f64 (log.f64 x)) x) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (neg.f64 (log.f64 x))))) 2)) (cbrt.f64 (log.f64 (/.f64 x (neg.f64 (log.f64 x))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 x (neg.f64 (log.f64 x)))))) (sqrt.f64 (log.f64 (/.f64 x (neg.f64 (log.f64 x))))))
(neg.f64 (/.f64 x (neg.f64 (log.f64 x))))
(neg.f64 (/.f64 x (log.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 x (neg.f64 (log.f64 x))) 2))
(log.f64 (exp.f64 (/.f64 x (neg.f64 (log.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 x (neg.f64 (log.f64 x))) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (neg.f64 (log.f64 x)) 3)))
(expm1.f64 (log1p.f64 (/.f64 x (neg.f64 (log.f64 x)))))
(exp.f64 (log.f64 (/.f64 x (neg.f64 (log.f64 x)))))
(log1p.f64 (expm1.f64 (/.f64 x (neg.f64 (log.f64 x)))))
(+.f64 0 (neg.f64 (log.f64 x)))
(+.f64 (log.f64 (pow.f64 x -1/2)) (log.f64 (pow.f64 x -1/2)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 x -2))) (log.f64 (/.f64 1 (cbrt.f64 x))))
(-.f64 0 (log.f64 x))
(-.f64 (log.f64 -1) (log.f64 (neg.f64 x)))
(-.f64 (+.f64 1 (neg.f64 (log.f64 x))) 1)
(*.f64 1 (neg.f64 (log.f64 x)))
(*.f64 (neg.f64 (log.f64 x)) 1)
(*.f64 -1 (log.f64 x))
(*.f64 (log.f64 x) -1)
(*.f64 (cbrt.f64 (neg.f64 (log.f64 x))) (cbrt.f64 (*.f64 (log.f64 x) (log.f64 x))))
(*.f64 (cbrt.f64 (*.f64 (log.f64 x) (log.f64 x))) (cbrt.f64 (neg.f64 (log.f64 x))))
(*.f64 (sqrt.f64 (neg.f64 (log.f64 x))) (sqrt.f64 (neg.f64 (log.f64 x))))
(/.f64 (-.f64 0 (pow.f64 (log.f64 x) 3)) (+.f64 0 (+.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 0 (log.f64 x)))))
(/.f64 (-.f64 0 (*.f64 (log.f64 x) (log.f64 x))) (log.f64 x))
(pow.f64 (neg.f64 (log.f64 x)) 1)
(pow.f64 (cbrt.f64 (neg.f64 (log.f64 x))) 3)
(pow.f64 (pow.f64 (neg.f64 (log.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (neg.f64 (log.f64 x))) 2)
(neg.f64 (log.f64 x))
(sqrt.f64 (*.f64 (log.f64 x) (log.f64 x)))
(cbrt.f64 (pow.f64 (neg.f64 (log.f64 x)) 3))
(expm1.f64 (log1p.f64 (neg.f64 (log.f64 x))))
(exp.f64 (log.f64 (neg.f64 (log.f64 x))))
(log1p.f64 (-.f64 (/.f64 1 x) 1))
(+.f64 (log.f64 (/.f64 x (neg.f64 (log.f64 x)))) (log.f64 -1))
(+.f64 0 (log.f64 (/.f64 x (neg.f64 (log.f64 x)))))
(+.f64 (log.f64 -1) (log.f64 (/.f64 x (neg.f64 (log.f64 x)))))
(+.f64 (log.f64 x) (log.f64 (/.f64 -1 (log.f64 x))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 x (neg.f64 (log.f64 x))))) (log.f64 (sqrt.f64 (/.f64 x (neg.f64 (log.f64 x))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 x (neg.f64 (log.f64 x)))) 2)) (log.f64 (cbrt.f64 (/.f64 x (neg.f64 (log.f64 x))))))
(+.f64 (*.f64 (log.f64 -1) 1) (log.f64 (/.f64 x (neg.f64 (log.f64 x)))))
(-.f64 0 (log.f64 (/.f64 (neg.f64 (log.f64 x)) x)))
(-.f64 (log.f64 x) (log.f64 (neg.f64 (log.f64 x))))
(-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 (log.f64 x))))
(-.f64 (log.f64 (neg.f64 x)) (log.f64 (log.f64 x)))
(-.f64 (+.f64 1 (log.f64 (/.f64 x (neg.f64 (log.f64 x))))) 1)
(*.f64 1 (log.f64 (/.f64 x (neg.f64 (log.f64 x)))))
(*.f64 (log.f64 (/.f64 x (neg.f64 (log.f64 x)))) 1)
(*.f64 (cbrt.f64 (log.f64 (/.f64 x (neg.f64 (log.f64 x))))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (neg.f64 (log.f64 x))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (neg.f64 (log.f64 x))))) 2) (cbrt.f64 (log.f64 (/.f64 x (neg.f64 (log.f64 x))))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 x (neg.f64 (log.f64 x))))) (sqrt.f64 (log.f64 (/.f64 x (neg.f64 (log.f64 x))))))
(/.f64 (+.f64 (pow.f64 (log.f64 -1) 3) (pow.f64 (log.f64 (/.f64 x (neg.f64 (log.f64 x)))) 3)) (+.f64 (*.f64 (log.f64 -1) (log.f64 -1)) (-.f64 (pow.f64 (log.f64 (/.f64 x (neg.f64 (log.f64 x)))) 2) (*.f64 (log.f64 -1) (log.f64 (/.f64 x (neg.f64 (log.f64 x))))))))
(/.f64 (-.f64 (*.f64 (log.f64 -1) (log.f64 -1)) (pow.f64 (log.f64 (/.f64 x (neg.f64 (log.f64 x)))) 2)) (-.f64 (log.f64 -1) (log.f64 (/.f64 x (neg.f64 (log.f64 x))))))
(pow.f64 (log.f64 (/.f64 x (neg.f64 (log.f64 x)))) 1)
(pow.f64 (cbrt.f64 (log.f64 (/.f64 x (neg.f64 (log.f64 x))))) 3)
(pow.f64 (pow.f64 (log.f64 (/.f64 x (neg.f64 (log.f64 x)))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 x (neg.f64 (log.f64 x))))) 2)
(neg.f64 (log.f64 (/.f64 (neg.f64 (log.f64 x)) x)))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 x (neg.f64 (log.f64 x)))) 2))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 x (neg.f64 (log.f64 x)))) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 x (neg.f64 (log.f64 x))))))
(exp.f64 (log.f64 (log.f64 (/.f64 x (neg.f64 (log.f64 x))))))
(log1p.f64 (-.f64 (/.f64 x (neg.f64 (log.f64 x))) 1))

simplify61.0ms (2.2%)

Algorithm
1×egg-herbie
Rules
1342×unswap-sqr
1128×fma-neg
686×cancel-sign-sub-inv
662×distribute-lft-in
640×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02332683
15312483
219912483
Stop Event
1×node limit
Counts
133 → 138
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 x (log.f64 x)))
(*.f64 -1 (/.f64 x (log.f64 x)))
(*.f64 -1 (/.f64 x (log.f64 x)))
(*.f64 -1 (/.f64 x (log.f64 x)))
(/.f64 x (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)))
(/.f64 x (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)))
(/.f64 x (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)))
(/.f64 x (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)))
(*.f64 -1 (log.f64 x))
(*.f64 -1 (log.f64 x))
(*.f64 -1 (log.f64 x))
(*.f64 -1 (log.f64 x))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1))
(+.f64 (log.f64 (/.f64 1 (log.f64 x))) (log.f64 x))
(+.f64 (log.f64 (/.f64 1 (log.f64 x))) (log.f64 x))
(+.f64 (log.f64 (/.f64 1 (log.f64 x))) (log.f64 x))
(+.f64 (log.f64 (/.f64 1 (log.f64 x))) (log.f64 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 -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 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)))))
(+.f64 1 (-.f64 (/.f64 x (neg.f64 (log.f64 x))) 1))
(-.f64 0 (/.f64 x (neg.f64 (log.f64 x))))
(-.f64 (+.f64 1 (/.f64 x (neg.f64 (log.f64 x)))) 1)
(*.f64 x (/.f64 -1 (log.f64 x)))
(*.f64 x (neg.f64 (/.f64 -1 (log.f64 x))))
(*.f64 x (*.f64 (/.f64 -1 (log.f64 x)) -1))
(*.f64 1 (/.f64 x (neg.f64 (log.f64 x))))
(*.f64 (/.f64 x (neg.f64 (log.f64 x))) 1)
(*.f64 (/.f64 x (neg.f64 (log.f64 x))) -1)
(*.f64 -1 (/.f64 x (neg.f64 (log.f64 x))))
(*.f64 (cbrt.f64 (/.f64 x (neg.f64 (log.f64 x)))) (pow.f64 (cbrt.f64 (/.f64 x (neg.f64 (log.f64 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (neg.f64 (log.f64 x)))) 2) (cbrt.f64 (/.f64 x (neg.f64 (log.f64 x)))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (neg.f64 (log.f64 x)))) 2) (neg.f64 (cbrt.f64 (/.f64 x (neg.f64 (log.f64 x))))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 -1 (log.f64 x))))
(*.f64 (sqrt.f64 (/.f64 x (neg.f64 (log.f64 x)))) (sqrt.f64 (/.f64 x (neg.f64 (log.f64 x)))))
(*.f64 (sqrt.f64 (/.f64 x (neg.f64 (log.f64 x)))) (neg.f64 (sqrt.f64 (/.f64 x (neg.f64 (log.f64 x))))))
(*.f64 (sqrt.f64 (/.f64 x (neg.f64 (log.f64 x)))) (*.f64 (sqrt.f64 (/.f64 x (neg.f64 (log.f64 x)))) -1))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 -1 (log.f64 x))))
(*.f64 (neg.f64 x) (/.f64 -1 (log.f64 x)))
(*.f64 (neg.f64 x) (/.f64 1 (log.f64 x)))
(*.f64 (/.f64 -1 (log.f64 x)) x)
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 (log.f64 x) (log.f64 x)))) (/.f64 x (cbrt.f64 (neg.f64 (log.f64 x)))))
(*.f64 (/.f64 1 (sqrt.f64 (neg.f64 (log.f64 x)))) (/.f64 x (sqrt.f64 (neg.f64 (log.f64 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (neg.f64 (log.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (*.f64 (log.f64 x) (log.f64 x)))) (cbrt.f64 (/.f64 x (neg.f64 (log.f64 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (neg.f64 (log.f64 x)))) (/.f64 (cbrt.f64 x) (sqrt.f64 (neg.f64 (log.f64 x)))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (neg.f64 (log.f64 x))))
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (*.f64 (log.f64 x) (log.f64 x)))) (/.f64 (sqrt.f64 x) (cbrt.f64 (neg.f64 (log.f64 x)))))
(*.f64 (/.f64 -1 (cbrt.f64 (*.f64 (log.f64 x) (log.f64 x)))) (/.f64 x (cbrt.f64 (neg.f64 (log.f64 x)))))
(*.f64 (/.f64 -1 (sqrt.f64 (neg.f64 (log.f64 x)))) (/.f64 x (sqrt.f64 (neg.f64 (log.f64 x)))))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 x (neg.f64 (log.f64 x)))) 2)) (cbrt.f64 (/.f64 x (neg.f64 (log.f64 x)))))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 x (neg.f64 (log.f64 x))))) (sqrt.f64 (/.f64 x (neg.f64 (log.f64 x)))))
(*.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (/.f64 x (neg.f64 (log.f64 x)))) 2)) (cbrt.f64 (/.f64 x (neg.f64 (log.f64 x)))))
(*.f64 (*.f64 -1 (sqrt.f64 (/.f64 x (neg.f64 (log.f64 x))))) (sqrt.f64 (/.f64 x (neg.f64 (log.f64 x)))))
(pow.f64 (/.f64 x (neg.f64 (log.f64 x))) 1)
(pow.f64 (E.f64) (log.f64 (/.f64 x (neg.f64 (log.f64 x)))))
(pow.f64 (cbrt.f64 (/.f64 x (neg.f64 (log.f64 x)))) 3)
(pow.f64 (pow.f64 (/.f64 x (neg.f64 (log.f64 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 x (neg.f64 (log.f64 x)))) 2)
(pow.f64 (/.f64 (neg.f64 (log.f64 x)) x) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (neg.f64 (log.f64 x))))) 2)) (cbrt.f64 (log.f64 (/.f64 x (neg.f64 (log.f64 x))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 x (neg.f64 (log.f64 x)))))) (sqrt.f64 (log.f64 (/.f64 x (neg.f64 (log.f64 x))))))
(neg.f64 (/.f64 x (neg.f64 (log.f64 x))))
(neg.f64 (/.f64 x (log.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 x (neg.f64 (log.f64 x))) 2))
(log.f64 (exp.f64 (/.f64 x (neg.f64 (log.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 x (neg.f64 (log.f64 x))) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (neg.f64 (log.f64 x)) 3)))
(expm1.f64 (log1p.f64 (/.f64 x (neg.f64 (log.f64 x)))))
(exp.f64 (log.f64 (/.f64 x (neg.f64 (log.f64 x)))))
(log1p.f64 (expm1.f64 (/.f64 x (neg.f64 (log.f64 x)))))
(+.f64 0 (neg.f64 (log.f64 x)))
(+.f64 (log.f64 (pow.f64 x -1/2)) (log.f64 (pow.f64 x -1/2)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 x -2))) (log.f64 (/.f64 1 (cbrt.f64 x))))
(-.f64 0 (log.f64 x))
(-.f64 (log.f64 -1) (log.f64 (neg.f64 x)))
(-.f64 (+.f64 1 (neg.f64 (log.f64 x))) 1)
(*.f64 1 (neg.f64 (log.f64 x)))
(*.f64 (neg.f64 (log.f64 x)) 1)
(*.f64 -1 (log.f64 x))
(*.f64 (log.f64 x) -1)
(*.f64 (cbrt.f64 (neg.f64 (log.f64 x))) (cbrt.f64 (*.f64 (log.f64 x) (log.f64 x))))
(*.f64 (cbrt.f64 (*.f64 (log.f64 x) (log.f64 x))) (cbrt.f64 (neg.f64 (log.f64 x))))
(*.f64 (sqrt.f64 (neg.f64 (log.f64 x))) (sqrt.f64 (neg.f64 (log.f64 x))))
(/.f64 (-.f64 0 (pow.f64 (log.f64 x) 3)) (+.f64 0 (+.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 0 (log.f64 x)))))
(/.f64 (-.f64 0 (*.f64 (log.f64 x) (log.f64 x))) (log.f64 x))
(pow.f64 (neg.f64 (log.f64 x)) 1)
(pow.f64 (cbrt.f64 (neg.f64 (log.f64 x))) 3)
(pow.f64 (pow.f64 (neg.f64 (log.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (neg.f64 (log.f64 x))) 2)
(neg.f64 (log.f64 x))
(sqrt.f64 (*.f64 (log.f64 x) (log.f64 x)))
(cbrt.f64 (pow.f64 (neg.f64 (log.f64 x)) 3))
(expm1.f64 (log1p.f64 (neg.f64 (log.f64 x))))
(exp.f64 (log.f64 (neg.f64 (log.f64 x))))
(log1p.f64 (-.f64 (/.f64 1 x) 1))
(+.f64 (log.f64 (/.f64 x (neg.f64 (log.f64 x)))) (log.f64 -1))
(+.f64 0 (log.f64 (/.f64 x (neg.f64 (log.f64 x)))))
(+.f64 (log.f64 -1) (log.f64 (/.f64 x (neg.f64 (log.f64 x)))))
(+.f64 (log.f64 x) (log.f64 (/.f64 -1 (log.f64 x))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 x (neg.f64 (log.f64 x))))) (log.f64 (sqrt.f64 (/.f64 x (neg.f64 (log.f64 x))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 x (neg.f64 (log.f64 x)))) 2)) (log.f64 (cbrt.f64 (/.f64 x (neg.f64 (log.f64 x))))))
(+.f64 (*.f64 (log.f64 -1) 1) (log.f64 (/.f64 x (neg.f64 (log.f64 x)))))
(-.f64 0 (log.f64 (/.f64 (neg.f64 (log.f64 x)) x)))
(-.f64 (log.f64 x) (log.f64 (neg.f64 (log.f64 x))))
(-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 (log.f64 x))))
(-.f64 (log.f64 (neg.f64 x)) (log.f64 (log.f64 x)))
(-.f64 (+.f64 1 (log.f64 (/.f64 x (neg.f64 (log.f64 x))))) 1)
(*.f64 1 (log.f64 (/.f64 x (neg.f64 (log.f64 x)))))
(*.f64 (log.f64 (/.f64 x (neg.f64 (log.f64 x)))) 1)
(*.f64 (cbrt.f64 (log.f64 (/.f64 x (neg.f64 (log.f64 x))))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (neg.f64 (log.f64 x))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (neg.f64 (log.f64 x))))) 2) (cbrt.f64 (log.f64 (/.f64 x (neg.f64 (log.f64 x))))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 x (neg.f64 (log.f64 x))))) (sqrt.f64 (log.f64 (/.f64 x (neg.f64 (log.f64 x))))))
(/.f64 (+.f64 (pow.f64 (log.f64 -1) 3) (pow.f64 (log.f64 (/.f64 x (neg.f64 (log.f64 x)))) 3)) (+.f64 (*.f64 (log.f64 -1) (log.f64 -1)) (-.f64 (pow.f64 (log.f64 (/.f64 x (neg.f64 (log.f64 x)))) 2) (*.f64 (log.f64 -1) (log.f64 (/.f64 x (neg.f64 (log.f64 x))))))))
(/.f64 (-.f64 (*.f64 (log.f64 -1) (log.f64 -1)) (pow.f64 (log.f64 (/.f64 x (neg.f64 (log.f64 x)))) 2)) (-.f64 (log.f64 -1) (log.f64 (/.f64 x (neg.f64 (log.f64 x))))))
(pow.f64 (log.f64 (/.f64 x (neg.f64 (log.f64 x)))) 1)
(pow.f64 (cbrt.f64 (log.f64 (/.f64 x (neg.f64 (log.f64 x))))) 3)
(pow.f64 (pow.f64 (log.f64 (/.f64 x (neg.f64 (log.f64 x)))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 x (neg.f64 (log.f64 x))))) 2)
(neg.f64 (log.f64 (/.f64 (neg.f64 (log.f64 x)) x)))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 x (neg.f64 (log.f64 x)))) 2))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 x (neg.f64 (log.f64 x)))) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 x (neg.f64 (log.f64 x))))))
(exp.f64 (log.f64 (log.f64 (/.f64 x (neg.f64 (log.f64 x))))))
(log1p.f64 (-.f64 (/.f64 x (neg.f64 (log.f64 x))) 1))
Outputs
(*.f64 -1 (/.f64 x (log.f64 x)))
(/.f64 (neg.f64 x) (log.f64 x))
(/.f64 x (neg.f64 (log.f64 x)))
(*.f64 -1 (/.f64 x (log.f64 x)))
(/.f64 (neg.f64 x) (log.f64 x))
(/.f64 x (neg.f64 (log.f64 x)))
(*.f64 -1 (/.f64 x (log.f64 x)))
(/.f64 (neg.f64 x) (log.f64 x))
(/.f64 x (neg.f64 (log.f64 x)))
(*.f64 -1 (/.f64 x (log.f64 x)))
(/.f64 (neg.f64 x) (log.f64 x))
(/.f64 x (neg.f64 (log.f64 x)))
(/.f64 x (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)))
(/.f64 x (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)))
(/.f64 x (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)))
(/.f64 x (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)))
(*.f64 -1 (log.f64 x))
(neg.f64 (log.f64 x))
(*.f64 -1 (log.f64 x))
(neg.f64 (log.f64 x))
(*.f64 -1 (log.f64 x))
(neg.f64 (log.f64 x))
(*.f64 -1 (log.f64 x))
(neg.f64 (log.f64 x))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1))
(+.f64 (log.f64 (/.f64 1 (log.f64 x))) (log.f64 x))
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(+.f64 (log.f64 (/.f64 1 (log.f64 x))) (log.f64 x))
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(+.f64 (log.f64 (/.f64 1 (log.f64 x))) (log.f64 x))
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(+.f64 (log.f64 (/.f64 1 (log.f64 x))) (log.f64 x))
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 -1 (log.f64 (/.f64 1 x)))))
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 -1 (log.f64 (/.f64 1 x)))))
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 -1 (log.f64 (/.f64 1 x)))))
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))
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(log.f64 (/.f64 x (neg.f64 (log.f64 x))))
(log.f64 (/.f64 (neg.f64 x) (log.f64 x)))
(*.f64 (sqrt.f64 (log.f64 (/.f64 x (neg.f64 (log.f64 x))))) (sqrt.f64 (log.f64 (/.f64 x (neg.f64 (log.f64 x))))))
(log.f64 (/.f64 x (neg.f64 (log.f64 x))))
(log.f64 (/.f64 (neg.f64 x) (log.f64 x)))
(/.f64 (+.f64 (pow.f64 (log.f64 -1) 3) (pow.f64 (log.f64 (/.f64 x (neg.f64 (log.f64 x)))) 3)) (+.f64 (*.f64 (log.f64 -1) (log.f64 -1)) (-.f64 (pow.f64 (log.f64 (/.f64 x (neg.f64 (log.f64 x)))) 2) (*.f64 (log.f64 -1) (log.f64 (/.f64 x (neg.f64 (log.f64 x))))))))
(/.f64 (+.f64 (pow.f64 (log.f64 -1) 3) (pow.f64 (log.f64 (/.f64 x (neg.f64 (log.f64 x)))) 3)) (fma.f64 (log.f64 -1) (log.f64 -1) (-.f64 (pow.f64 (log.f64 (/.f64 x (neg.f64 (log.f64 x)))) 2) (*.f64 (log.f64 -1) (log.f64 (/.f64 x (neg.f64 (log.f64 x))))))))
(/.f64 (+.f64 (pow.f64 (log.f64 -1) 3) (pow.f64 (log.f64 (/.f64 (neg.f64 x) (log.f64 x))) 3)) (fma.f64 (log.f64 -1) (log.f64 -1) (*.f64 (log.f64 (/.f64 (neg.f64 x) (log.f64 x))) (-.f64 (log.f64 (/.f64 (neg.f64 x) (log.f64 x))) (log.f64 -1)))))
(/.f64 (+.f64 (pow.f64 (log.f64 -1) 3) (pow.f64 (log.f64 (/.f64 x (neg.f64 (log.f64 x)))) 3)) (fma.f64 (log.f64 -1) (log.f64 -1) (*.f64 (log.f64 (/.f64 x (neg.f64 (log.f64 x)))) (-.f64 (log.f64 (/.f64 x (neg.f64 (log.f64 x)))) (log.f64 -1)))))
(/.f64 (-.f64 (*.f64 (log.f64 -1) (log.f64 -1)) (pow.f64 (log.f64 (/.f64 x (neg.f64 (log.f64 x)))) 2)) (-.f64 (log.f64 -1) (log.f64 (/.f64 x (neg.f64 (log.f64 x))))))
(/.f64 (-.f64 (*.f64 (log.f64 -1) (log.f64 -1)) (pow.f64 (log.f64 (/.f64 (neg.f64 x) (log.f64 x))) 2)) (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 (neg.f64 (log.f64 x)))))
(/.f64 (-.f64 (*.f64 (log.f64 -1) (log.f64 -1)) (pow.f64 (log.f64 (/.f64 x (neg.f64 (log.f64 x)))) 2)) (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 (neg.f64 (log.f64 x)))))
(pow.f64 (log.f64 (/.f64 x (neg.f64 (log.f64 x)))) 1)
(log.f64 (/.f64 x (neg.f64 (log.f64 x))))
(log.f64 (/.f64 (neg.f64 x) (log.f64 x)))
(pow.f64 (cbrt.f64 (log.f64 (/.f64 x (neg.f64 (log.f64 x))))) 3)
(log.f64 (/.f64 x (neg.f64 (log.f64 x))))
(log.f64 (/.f64 (neg.f64 x) (log.f64 x)))
(pow.f64 (pow.f64 (log.f64 (/.f64 x (neg.f64 (log.f64 x)))) 3) 1/3)
(log.f64 (/.f64 x (neg.f64 (log.f64 x))))
(log.f64 (/.f64 (neg.f64 x) (log.f64 x)))
(pow.f64 (sqrt.f64 (log.f64 (/.f64 x (neg.f64 (log.f64 x))))) 2)
(log.f64 (/.f64 x (neg.f64 (log.f64 x))))
(log.f64 (/.f64 (neg.f64 x) (log.f64 x)))
(neg.f64 (log.f64 (/.f64 (neg.f64 (log.f64 x)) x)))
(log.f64 (/.f64 x (neg.f64 (log.f64 x))))
(log.f64 (/.f64 (neg.f64 x) (log.f64 x)))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 x (neg.f64 (log.f64 x)))) 2))
(log.f64 (/.f64 x (neg.f64 (log.f64 x))))
(log.f64 (/.f64 (neg.f64 x) (log.f64 x)))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 x (neg.f64 (log.f64 x)))) 3))
(log.f64 (/.f64 x (neg.f64 (log.f64 x))))
(log.f64 (/.f64 (neg.f64 x) (log.f64 x)))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 x (neg.f64 (log.f64 x))))))
(log.f64 (/.f64 x (neg.f64 (log.f64 x))))
(log.f64 (/.f64 (neg.f64 x) (log.f64 x)))
(exp.f64 (log.f64 (log.f64 (/.f64 x (neg.f64 (log.f64 x))))))
(log.f64 (/.f64 x (neg.f64 (log.f64 x))))
(log.f64 (/.f64 (neg.f64 x) (log.f64 x)))
(log1p.f64 (-.f64 (/.f64 x (neg.f64 (log.f64 x))) 1))
(log.f64 (/.f64 x (neg.f64 (log.f64 x))))
(log.f64 (/.f64 (neg.f64 x) (log.f64 x)))

eval27.0ms (1%)

Compiler

Compiled 1827 to 871 computations (52.3% saved)

prune16.0ms (0.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1380138
Fresh000
Picked011
Done011
Total1382140
Accurracy
100.0%
Counts
140 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(log.f64 (/.f64 x (log.f64 x)))
✓100.0%
(log.f64 (*.f64 -1 (/.f64 x (log.f64 (/.f64 1 x)))))
Compiler

Compiled 37 to 25 computations (32.4% saved)

regimes12.0ms (0.4%)

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

3 calls:

4.0ms
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
3.0ms
(log.f64 x)
3.0ms
x
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
100.0%1(log.f64 x)
Compiler

Compiled 33 to 20 computations (39.4% 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:

2.0ms
x
Results
AccuracySegmentsBranch
100.0%1x
Compiler

Compiled 8 to 5 computations (37.5% saved)

simplify5.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01440
11840
22140
32440
42740
52840
Stop Event
1×done
1×saturated
Calls
Call 1
Inputs
(log.f64 (*.f64 -1 (/.f64 x (log.f64 (/.f64 1 x)))))
(log.f64 (/.f64 x (log.f64 x)))
Outputs
(log.f64 (*.f64 -1 (/.f64 x (log.f64 (/.f64 1 x)))))
(log.f64 (neg.f64 (/.f64 x (log.f64 (/.f64 1 x)))))
(log.f64 (/.f64 (neg.f64 x) (log.f64 (/.f64 1 x))))
(log.f64 (/.f64 x (log.f64 x)))
Compiler

Compiled 15 to 11 computations (26.7% saved)

soundness152.0ms (5.5%)

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
Compiler

Compiled 78 to 50 computations (35.9% saved)

end0.0ms (0%)

preprocess47.0ms (1.7%)

Compiler

Compiled 42 to 28 computations (33.3% saved)

Profiling

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