Jmat.Real.lambertw, estimator

Details

Time bar (total: 6.9s)

analyze769.0ms (11.2%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%199.9%-99.9%0%0%0%1
0%0%399.8%-299.8%0%0%0%2
0%0%799.6%-699.6%0%0%0%3
0%0%1599.2%-1499.2%0%0%0%4
0%0%3198.4%-3098.4%0%0%0%5
0%0%6396.9%-6296.9%0%0%0%6
0%0%12793.8%-12693.8%0%0%0%7
0%0%25587.5%-25487.5%0%0%0%8
0%0%51175%-51075%0%0%0%9
0%0%102350%-102250%0%0%0%10
0%0%204700%-204600%0%0%0%11
0%0%409400%-409300%0%0%0%12
Compiler

Compiled 8 to 5 computations (37.5% saved)

sample3.9s (55.9%)

Results
2.6s24687×body256invalid
1.2s8256×body256valid
Bogosity

preprocess229.0ms (3.3%)

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
011
Stop Event
saturated
node limit
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
Outputs
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
Compiler

Compiled 8 to 5 computations (37.5% saved)

simplify216.0ms (3.1%)

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)

localize51.0ms (0.7%)

Local Accuracy

Found 2 expressions with local accuracy:

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

Compiled 14 to 5 computations (64.3% saved)

series138.0ms (2%)

Counts
2 → 16
Calls

6 calls:

TimeVariablePointExpression
60.0ms
x
@-inf
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
48.0ms
x
@0
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
29.0ms
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))

rewrite74.0ms (1.1%)

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))

simplify84.0ms (1.2%)

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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eval58.0ms (0.8%)

Compiler

Compiled 904 to 376 computations (58.4% saved)

prune12.0ms (0.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New68371
Fresh000
Picked011
Done000
Total68472
Accurracy
100.0%
Counts
72 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
100.0%
(log1p.f64 (-.f64 (/.f64 x (log.f64 x)) 1))
100.0%
(log.f64 (/.f64 x (log.f64 x)))
98.3%
(expm1.f64 (log1p.f64 (log.f64 (/.f64 x (log.f64 x)))))
99.6%
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
100.0%
(log1p.f64 (-.f64 (/.f64 x (log.f64 x)) 1))
100.0%
(log.f64 (/.f64 x (log.f64 x)))
98.3%
(expm1.f64 (log1p.f64 (log.f64 (/.f64 x (log.f64 x)))))
Compiler

Compiled 58 to 40 computations (31% saved)

localize121.0ms (1.8%)

Local Accuracy

Found 9 expressions with local accuracy:

NewAccuracyProgram
100.0%
(-.f64 (/.f64 x (log.f64 x)) 1)
100.0%
(log1p.f64 (-.f64 (/.f64 x (log.f64 x)) 1))
99.6%
(/.f64 x (log.f64 x))
100.0%
(log.f64 (/.f64 x (log.f64 x)))
99.6%
(/.f64 x (log.f64 x))
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))
98.3%
(expm1.f64 (log1p.f64 (log.f64 (/.f64 x (log.f64 x)))))
Compiler

Compiled 60 to 13 computations (78.3% saved)

series246.0ms (3.6%)

Counts
9 → 93
Calls

27 calls:

TimeVariablePointExpression
70.0ms
x
@0
(log1p.f64 (log.f64 (/.f64 x (log.f64 x))))
38.0ms
x
@-inf
(log1p.f64 (log.f64 (/.f64 x (log.f64 x))))
27.0ms
x
@inf
(expm1.f64 (log1p.f64 (log.f64 (/.f64 x (log.f64 x)))))
26.0ms
x
@-inf
(expm1.f64 (log1p.f64 (log.f64 (/.f64 x (log.f64 x)))))
20.0ms
x
@-inf
(log1p.f64 (-.f64 (/.f64 x (log.f64 x)) 1))

rewrite138.0ms (2%)

Algorithm
batch-egg-rewrite
Rules
2010×pow1
1856×add-exp-log
1856×log1p-expm1-u
1854×expm1-log1p-u
218×add-sqr-sqrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
012129
1223129
22771129
Stop Event
node limit
Counts
9 → 298
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)))
(/.f64 x (log.f64 x))
(log1p.f64 (-.f64 (/.f64 x (log.f64 x)) 1))
(-.f64 (/.f64 x (log.f64 x)) 1)
Outputs
(+.f64 (log.f64 x) (log.f64 (/.f64 1 (log.f64 x))))
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))
(+.f64 0 (log.f64 (/.f64 x (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 (cbrt.f64 (pow.f64 (/.f64 x (log.f64 x)) 2))) (log.f64 (cbrt.f64 (/.f64 x (log.f64 x)))))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(-.f64 0 (log.f64 (/.f64 (log.f64 x) x)))
(-.f64 (+.f64 (log.f64 (/.f64 x (log.f64 x))) 1) 1)
(-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 (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 (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)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 x (log.f64 x)))) 1))
(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 (/.f64 x (log.f64 x)) -1) 1)
(+.f64 (+.f64 (/.f64 x (log.f64 x)) 1) -1)
(-.f64 (+.f64 (/.f64 x (log.f64 x)) 1) 1)
(*.f64 x (/.f64 1 (log.f64 x)))
(*.f64 x (*.f64 (/.f64 1 (log.f64 x)) 1))
(*.f64 (/.f64 x (log.f64 x)) 1)
(*.f64 1 (/.f64 x (log.f64 x)))
(*.f64 (cbrt.f64 (/.f64 x (log.f64 x))) (cbrt.f64 (pow.f64 (/.f64 x (log.f64 x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 x (log.f64 x)) 2)) (cbrt.f64 (/.f64 x (log.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 x (log.f64 x)) 2)) (*.f64 (cbrt.f64 (/.f64 x (log.f64 x))) 1))
(*.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 (/.f64 x (log.f64 x))) (*.f64 (sqrt.f64 (/.f64 x (log.f64 x))) 1))
(*.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 (E.f64) (log.f64 (/.f64 x (log.f64 x))))
(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)))))
(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))))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (log.f64 (/.f64 x (log.f64 x))))) 1))
(+.f64 (log.f64 x) (log.f64 (/.f64 1 (log.f64 x))))
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))
(+.f64 0 (log.f64 (/.f64 x (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 (cbrt.f64 (pow.f64 (/.f64 x (log.f64 x)) 2))) (log.f64 (cbrt.f64 (/.f64 x (log.f64 x)))))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(-.f64 0 (log.f64 (/.f64 (log.f64 x) x)))
(-.f64 (+.f64 (log.f64 (/.f64 x (log.f64 x))) 1) 1)
(-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 (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 (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)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 x (log.f64 x)))) 1))
(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 (/.f64 x (log.f64 x)) -1) 1)
(+.f64 (+.f64 (/.f64 x (log.f64 x)) 1) -1)
(-.f64 (+.f64 (/.f64 x (log.f64 x)) 1) 1)
(*.f64 x (/.f64 1 (log.f64 x)))
(*.f64 x (*.f64 (/.f64 1 (log.f64 x)) 1))
(*.f64 (/.f64 x (log.f64 x)) 1)
(*.f64 1 (/.f64 x (log.f64 x)))
(*.f64 (cbrt.f64 (/.f64 x (log.f64 x))) (cbrt.f64 (pow.f64 (/.f64 x (log.f64 x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 x (log.f64 x)) 2)) (cbrt.f64 (/.f64 x (log.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 x (log.f64 x)) 2)) (*.f64 (cbrt.f64 (/.f64 x (log.f64 x))) 1))
(*.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 (/.f64 x (log.f64 x))) (*.f64 (sqrt.f64 (/.f64 x (log.f64 x))) 1))
(*.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 (E.f64) (log.f64 (/.f64 x (log.f64 x))))
(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)))))
(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) (log.f64 (/.f64 1 (log.f64 x))))
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))
(+.f64 0 (log.f64 (/.f64 x (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 (cbrt.f64 (pow.f64 (/.f64 x (log.f64 x)) 2))) (log.f64 (cbrt.f64 (/.f64 x (log.f64 x)))))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(-.f64 0 (log.f64 (/.f64 (log.f64 x) x)))
(-.f64 (+.f64 (log.f64 (/.f64 x (log.f64 x))) 1) 1)
(-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 (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)))))
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simplify172.0ms (2.5%)

Algorithm
egg-herbie
Rules
972×times-frac
928×associate-+r+
888×associate-+l+
622×fma-neg
572×cancel-sign-sub-inv
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02849437
16468155
223228047
Stop Event
node limit
Counts
391 → 162
Calls
Call 1
Inputs
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(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(-.f64 0 (log.f64 (/.f64 (log.f64 x) 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 (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))))))
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(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)))
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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)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 x (log.f64 x)))) 1))
(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))
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(-.f64 (+.f64 (/.f64 x (log.f64 x)) 1) 1)
(*.f64 x (/.f64 1 (log.f64 x)))
(*.f64 x (*.f64 (/.f64 1 (log.f64 x)) 1))
(*.f64 (/.f64 x (log.f64 x)) 1)
(*.f64 1 (/.f64 x (log.f64 x)))
(*.f64 (cbrt.f64 (/.f64 x (log.f64 x))) (cbrt.f64 (pow.f64 (/.f64 x (log.f64 x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 x (log.f64 x)) 2)) (cbrt.f64 (/.f64 x (log.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 x (log.f64 x)) 2)) (*.f64 (cbrt.f64 (/.f64 x (log.f64 x))) 1))
(*.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 (/.f64 x (log.f64 x))) (*.f64 (sqrt.f64 (/.f64 x (log.f64 x))) 1))
(*.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 (E.f64) (log.f64 (/.f64 x (log.f64 x))))
(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)))))
(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) (log.f64 (/.f64 1 (log.f64 x))))
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))
(+.f64 0 (log.f64 (/.f64 x (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 (cbrt.f64 (pow.f64 (/.f64 x (log.f64 x)) 2))) (log.f64 (cbrt.f64 (/.f64 x (log.f64 x)))))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(-.f64 0 (log.f64 (/.f64 (log.f64 x) x)))
(-.f64 (+.f64 (log.f64 (/.f64 x (log.f64 x))) 1) 1)
(-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 (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 (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))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 x (log.f64 x)))))
(exp.f64 (log.f64 (log.f64 (/.f64 x (log.f64 x)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 x (log.f64 x)))) 1))
(fma.f64 1 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (cbrt.f64 (log.f64 x)) (neg.f64 (log.f64 (log.f64 x))))
(fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) (neg.f64 (log.f64 (log.f64 x))))
(+.f64 (/.f64 x (log.f64 x)) -1)
(+.f64 -1 (/.f64 x (log.f64 x)))
(*.f64 1 (+.f64 (/.f64 x (log.f64 x)) -1))
(*.f64 (+.f64 (/.f64 x (log.f64 x)) -1) 1)
(*.f64 (cbrt.f64 (+.f64 (/.f64 x (log.f64 x)) -1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 x (log.f64 x)) -1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 x (log.f64 x)) -1)) 2) (cbrt.f64 (+.f64 (/.f64 x (log.f64 x)) -1)))
(*.f64 (sqrt.f64 (+.f64 (/.f64 x (log.f64 x)) -1)) (sqrt.f64 (+.f64 (/.f64 x (log.f64 x)) -1)))
(*.f64 (+.f64 (pow.f64 (/.f64 x (log.f64 x)) 3) -1) (/.f64 1 (+.f64 (pow.f64 (/.f64 x (log.f64 x)) 2) (+.f64 (/.f64 x (log.f64 x)) 1))))
(*.f64 (+.f64 (pow.f64 (/.f64 x (log.f64 x)) 2) -1) (/.f64 1 (+.f64 (/.f64 x (log.f64 x)) 1)))
(*.f64 (+.f64 (sqrt.f64 (/.f64 x (log.f64 x))) 1) (-.f64 (sqrt.f64 (/.f64 x (log.f64 x))) 1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 x (log.f64 x)) 2) (+.f64 (/.f64 x (log.f64 x)) 1)) (+.f64 (pow.f64 (/.f64 x (log.f64 x)) 3) -1)))
(/.f64 1 (/.f64 (+.f64 (/.f64 x (log.f64 x)) 1) (+.f64 (pow.f64 (/.f64 x (log.f64 x)) 2) -1)))
(/.f64 (+.f64 (pow.f64 (/.f64 x (log.f64 x)) 3) -1) (+.f64 (pow.f64 (/.f64 x (log.f64 x)) 2) (+.f64 (/.f64 x (log.f64 x)) 1)))
(/.f64 (+.f64 (pow.f64 (/.f64 x (log.f64 x)) 3) -1) (+.f64 (pow.f64 (/.f64 x (log.f64 x)) 2) (-.f64 1 (*.f64 (/.f64 x (log.f64 x)) -1))))
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(/.f64 (+.f64 (pow.f64 (/.f64 x (log.f64 x)) 2) -1) (-.f64 (/.f64 x (log.f64 x)) -1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 x (log.f64 x)) 3) -1)) (neg.f64 (+.f64 (pow.f64 (/.f64 x (log.f64 x)) 2) (+.f64 (/.f64 x (log.f64 x)) 1))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 x (log.f64 x)) 2) -1)) (neg.f64 (+.f64 (/.f64 x (log.f64 x)) 1)))
(pow.f64 (+.f64 (/.f64 x (log.f64 x)) -1) 1)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 x (log.f64 x)) -1)) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 x (log.f64 x)) -1) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 x (log.f64 x)) -1)) 2)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 x (log.f64 x)) -1) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 x (log.f64 x)) -1)))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 x (log.f64 x)) -1) 3))
(expm1.f64 (log.f64 (/.f64 x (log.f64 x))))
(exp.f64 (log.f64 (+.f64 (/.f64 x (log.f64 x)) -1)))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 x (log.f64 x)) -1)) 1))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 x (log.f64 x)) -1)))
(fma.f64 x (/.f64 1 (log.f64 x)) -1)
(fma.f64 1 (/.f64 x (log.f64 x)) -1)
(fma.f64 (cbrt.f64 (pow.f64 (/.f64 x (log.f64 x)) 2)) (cbrt.f64 (/.f64 x (log.f64 x))) -1)
(fma.f64 (sqrt.f64 (/.f64 x (log.f64 x))) (sqrt.f64 (/.f64 x (log.f64 x))) -1)
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)))
(+.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)))
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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)))))
(-.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)))
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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)))))
(-.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 x (log.f64 (/.f64 1 x))))
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(/.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)))
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(/.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)))
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(/.f64 x (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))
(/.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(log.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 1 (log.f64 x))) (log.f64 x))))
(log1p.f64 (log.f64 (/.f64 x (log.f64 x))))
(log.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 1 (log.f64 x))) (log.f64 x))))
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(log.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 1 (log.f64 x))) (log.f64 x))))
(log1p.f64 (log.f64 (/.f64 x (log.f64 x))))
(log.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 1 (log.f64 x))) (log.f64 x))))
(log1p.f64 (log.f64 (/.f64 x (log.f64 x))))
(log.f64 (+.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 -1 (log.f64 (/.f64 1 x)))))))
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(log.f64 (+.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 -1 (log.f64 (/.f64 1 x)))))))
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(sqrt.f64 (pow.f64 (+.f64 (/.f64 x (log.f64 x)) -1) 2))
(fma.f64 -1 (/.f64 x (neg.f64 (log.f64 x))) -1)
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(fma.f64 -1 (/.f64 x (neg.f64 (log.f64 x))) -1)
(+.f64 -1 (/.f64 x (log.f64 x)))
(expm1.f64 (log.f64 (/.f64 x (log.f64 x))))
(fma.f64 -1 (/.f64 x (neg.f64 (log.f64 x))) -1)
(+.f64 -1 (/.f64 x (log.f64 x)))
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(fma.f64 -1 (/.f64 x (neg.f64 (log.f64 x))) -1)
(+.f64 -1 (/.f64 x (log.f64 x)))
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(fma.f64 -1 (/.f64 x (neg.f64 (log.f64 x))) -1)
(+.f64 -1 (/.f64 x (log.f64 x)))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 x (log.f64 x)) -1)))
(fma.f64 -1 (/.f64 x (neg.f64 (log.f64 x))) -1)
(+.f64 -1 (/.f64 x (log.f64 x)))
(fma.f64 x (/.f64 1 (log.f64 x)) -1)
(fma.f64 -1 (/.f64 x (neg.f64 (log.f64 x))) -1)
(+.f64 -1 (/.f64 x (log.f64 x)))
(fma.f64 1 (/.f64 x (log.f64 x)) -1)
(fma.f64 -1 (/.f64 x (neg.f64 (log.f64 x))) -1)
(+.f64 -1 (/.f64 x (log.f64 x)))
(fma.f64 (cbrt.f64 (pow.f64 (/.f64 x (log.f64 x)) 2)) (cbrt.f64 (/.f64 x (log.f64 x))) -1)
(fma.f64 (sqrt.f64 (/.f64 x (log.f64 x))) (sqrt.f64 (/.f64 x (log.f64 x))) -1)
(fma.f64 -1 (/.f64 x (neg.f64 (log.f64 x))) -1)
(+.f64 -1 (/.f64 x (log.f64 x)))

eval71.0ms (1%)

Compiler

Compiled 3269 to 1598 computations (51.1% saved)

prune41.0ms (0.6%)

Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New2534257
Fresh000
Picked033
Done101
Total2547261
Accurracy
100.0%
Counts
261 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(-.f64 (+.f64 (log.f64 (/.f64 x (log.f64 x))) 1) 1)
100.0%
(neg.f64 (log.f64 (/.f64 (log.f64 x) x)))
100.0%
(log1p.f64 (-.f64 (/.f64 x (log.f64 x)) 1))
0.6%
(log1p.f64 -1)
100.0%
(log.f64 (/.f64 x (log.f64 x)))
100.0%
(log.f64 (*.f64 (/.f64 1 (log.f64 x)) x))
98.3%
(expm1.f64 (log1p.f64 (log.f64 (/.f64 x (log.f64 x)))))
100.0%
(-.f64 (+.f64 (log.f64 (/.f64 x (log.f64 x))) 1) 1)
100.0%
(neg.f64 (log.f64 (/.f64 (log.f64 x) x)))
100.0%
(log1p.f64 (-.f64 (/.f64 x (log.f64 x)) 1))
0.6%
(log1p.f64 -1)
100.0%
(log.f64 (/.f64 x (log.f64 x)))
100.0%
(log.f64 (*.f64 (/.f64 1 (log.f64 x)) x))
98.3%
(expm1.f64 (log1p.f64 (log.f64 (/.f64 x (log.f64 x)))))
Compiler

Compiled 100 to 76 computations (24% saved)

localize112.0ms (1.6%)

Compiler

Compiled 73 to 28 computations (61.6% saved)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune7.0ms (0.1%)

Pruning

7 alts after pruning (0 fresh and 7 done)

PrunedKeptTotal
New000
Fresh000
Picked044
Done033
Total077
Accurracy
100.0%
Counts
7 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(-.f64 (+.f64 (log.f64 (/.f64 x (log.f64 x))) 1) 1)
100.0%
(neg.f64 (log.f64 (/.f64 (log.f64 x) x)))
100.0%
(log1p.f64 (-.f64 (/.f64 x (log.f64 x)) 1))
0.6%
(log1p.f64 -1)
100.0%
(log.f64 (/.f64 x (log.f64 x)))
100.0%
(log.f64 (*.f64 (/.f64 1 (log.f64 x)) x))
98.3%
(expm1.f64 (log1p.f64 (log.f64 (/.f64 x (log.f64 x)))))
Compiler

Compiled 100 to 62 computations (38% saved)

regimes21.0ms (0.3%)

Counts
8 → 1
Calls
Call 1
Inputs
(log1p.f64 -1)
(log.f64 (/.f64 x (log.f64 x)))
(neg.f64 (log.f64 (/.f64 (log.f64 x) x)))
(log.f64 (*.f64 (/.f64 1 (log.f64 x)) x))
(log1p.f64 (-.f64 (/.f64 x (log.f64 x)) 1))
(-.f64 (+.f64 (log.f64 (/.f64 x (log.f64 x))) 1) 1)
(-.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:

9.0ms
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
5.0ms
(log.f64 x)
5.0ms
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 62 to 31 computations (50% saved)

regimes5.0ms (0.1%)

Counts
2 → 1
Calls
Call 1
Inputs
(log1p.f64 -1)
(log.f64 (/.f64 x (log.f64 x)))
Outputs
(log.f64 (/.f64 x (log.f64 x)))
Calls

1 calls:

5.0ms
x
Results
AccuracySegmentsBranch
100.0%1x
Compiler

Compiled 10 to 7 computations (30% saved)

regimes3.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
(log1p.f64 -1)
Outputs
(log1p.f64 -1)
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
0.6%1x
Compiler

Compiled 5 to 4 computations (20% saved)

simplify5.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01239
11539
21739
31839
Stop Event
done
saturated
Calls
Call 1
Inputs
(neg.f64 (log.f64 (/.f64 (log.f64 x) x)))
(log.f64 (/.f64 x (log.f64 x)))
(log1p.f64 -1)
Outputs
(neg.f64 (log.f64 (/.f64 (log.f64 x) x)))
(log.f64 (/.f64 x (log.f64 x)))
(log1p.f64 -1)
Compiler

Compiled 16 to 12 computations (25% saved)

soundness429.0ms (6.2%)

Rules
2010×pow1
1856×add-exp-log
1856×log1p-expm1-u
1854×expm1-log1p-u
1670×fma-def
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0724
114324
2192124
012129
1223129
22771129
0724
114324
2192124
01352421
13121589
212161589
373601589
Stop Event
node limit
node limit
node limit
node limit
Compiler

Compiled 167 to 91 computations (45.5% saved)

end36.0ms (0.5%)

Compiler

Compiled 42 to 26 computations (38.1% saved)

Profiling

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