Details

Time bar (total: 3.8s)

analyze2.0ms (0.1%)

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

Compiled 8 to 5 computations (37.5% saved)

sample1.9s (50.2%)

Results
1.9s8256×body256valid
2.0ms18×body256invalid
Bogosity

preprocess235.0ms (6.2%)

Algorithm
egg-herbie
Rules
2524×fma-neg
1468×fma-def
1306×associate-+r+
864×associate--r-
850×associate-+l+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0719
1919
21419
32219
43119
54819
610019
714419
821719
948719
10137919
11287719
12453219
13497419
14516219
15521719
16522719
17522719
18633919
19634719
20639919
21639919
22753319
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)

simplify227.0ms (6%)

Algorithm
egg-herbie
Rules
2524×fma-neg
1468×fma-def
1306×associate-+r+
864×associate--r-
850×associate-+l+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0719
1919
21419
32219
43119
54819
610019
714419
821719
948719
10137919
11287719
12453219
13497419
14516219
15521719
16522719
17522719
18633919
19634719
20639919
21639919
22753319
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)))
Compiler

Compiled 7 to 4 computations (42.9% saved)

localize7.0ms (0.2%)

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 13 to 4 computations (69.2% saved)

series141.0ms (3.7%)

Counts
2 → 16
Calls

6 calls:

TimeVariablePointExpression
58.0ms
x
@-inf
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
44.0ms
x
@0
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
40.0ms
x
@inf
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
0.0ms
x
@0
(log.f64 (log.f64 x))
0.0ms
x
@-inf
(log.f64 (log.f64 x))

rewrite72.0ms (1.9%)

Algorithm
batch-egg-rewrite
Rules
1566×add-sqr-sqrt
1550×*-un-lft-identity
1448×add-cube-cbrt
1430×add-cbrt-cube
1416×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0724
114324
2190124
Stop Event
node limit
Counts
2 → 55
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 (sqrt.f64 (log.f64 (log.f64 x)))) (sqrt.f64 (log.f64 (log.f64 x))) (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 (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 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))) (sqrt.f64 (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 (-.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 (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 (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 (log.f64 (*.f64 x (log.f64 x))) (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 (log.f64 x)) 2)))) (/.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 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 (log.f64 x)) 2)) (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 (log.f64 (log.f64 x)) (log.f64 (*.f64 x (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))))) (/.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 (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 (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))))))) (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 1) (pow.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2) (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) (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)) (log1p.f64 (-.f64 (/.f64 x (log.f64 x)) 1)) (fma.f64 1 (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)))) (fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (cbrt.f64 (log.f64 x)) (neg.f64 (log.f64 (log.f64 x)))))
((+.f64 0 (log.f64 (log.f64 x))) (+.f64 (log.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (log.f64 (cbrt.f64 (log.f64 x)))) (+.f64 (log.f64 (sqrt.f64 (log.f64 x))) (log.f64 (sqrt.f64 (log.f64 x)))) (-.f64 (+.f64 1 (log.f64 (log.f64 x))) 1) (*.f64 (log.f64 (log.f64 x)) 1) (*.f64 1 (log.f64 (log.f64 x))) (*.f64 (sqrt.f64 (log.f64 (log.f64 x))) (sqrt.f64 (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)))) (pow.f64 (log.f64 (log.f64 x)) 1) (pow.f64 (sqrt.f64 (log.f64 (log.f64 x))) 2) (pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) 3) (pow.f64 (pow.f64 (log.f64 (log.f64 x)) 3) 1/3) (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)))) (exp.f64 (*.f64 (log.f64 (log.f64 (log.f64 x))) 1)) (log1p.f64 (-.f64 (log.f64 x) 1)))

simplify105.0ms (2.8%)

Algorithm
egg-herbie
Rules
1058×fma-def
742×unswap-sqr
724×associate--r-
712×distribute-lft-in
668×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01392473
13271613
215191613
373391613
Stop Event
node limit
Counts
71 → 72
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 (sqrt.f64 (log.f64 (log.f64 x)))) (sqrt.f64 (log.f64 (log.f64 x))) (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 (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 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))) (sqrt.f64 (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 (-.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 (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 (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 (log.f64 (*.f64 x (log.f64 x))) (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 (log.f64 x)) 2))))
(/.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 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 (log.f64 x)) 2)) (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 (log.f64 (log.f64 x)) (log.f64 (*.f64 x (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)))))
(/.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 (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 (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)))))))
(pow.f64 (log.f64 (/.f64 x (log.f64 x))) 1)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2)
(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)
(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))
(log1p.f64 (-.f64 (/.f64 x (log.f64 x)) 1))
(fma.f64 1 (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))))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (cbrt.f64 (log.f64 x)) (neg.f64 (log.f64 (log.f64 x))))
(+.f64 0 (log.f64 (log.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (log.f64 (cbrt.f64 (log.f64 x))))
(+.f64 (log.f64 (sqrt.f64 (log.f64 x))) (log.f64 (sqrt.f64 (log.f64 x))))
(-.f64 (+.f64 1 (log.f64 (log.f64 x))) 1)
(*.f64 (log.f64 (log.f64 x)) 1)
(*.f64 1 (log.f64 (log.f64 x)))
(*.f64 (sqrt.f64 (log.f64 (log.f64 x))) (sqrt.f64 (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))))
(pow.f64 (log.f64 (log.f64 x)) 1)
(pow.f64 (sqrt.f64 (log.f64 (log.f64 x))) 2)
(pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) 3)
(pow.f64 (pow.f64 (log.f64 (log.f64 x)) 3) 1/3)
(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))))
(exp.f64 (*.f64 (log.f64 (log.f64 (log.f64 x))) 1))
(log1p.f64 (-.f64 (log.f64 x) 1))
Outputs
(-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (*.f64 -1 (log.f64 (/.f64 1 x)))))
(-.f64 (neg.f64 (neg.f64 (log.f64 x))) (log.f64 (neg.f64 (neg.f64 (log.f64 x)))))
(log.f64 (/.f64 x (log.f64 x)))
(-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (*.f64 -1 (log.f64 (/.f64 1 x)))))
(-.f64 (neg.f64 (neg.f64 (log.f64 x))) (log.f64 (neg.f64 (neg.f64 (log.f64 x)))))
(log.f64 (/.f64 x (log.f64 x)))
(-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (*.f64 -1 (log.f64 (/.f64 1 x)))))
(-.f64 (neg.f64 (neg.f64 (log.f64 x))) (log.f64 (neg.f64 (neg.f64 (log.f64 x)))))
(log.f64 (/.f64 x (log.f64 x)))
(-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (*.f64 -1 (log.f64 (/.f64 1 x)))))
(-.f64 (neg.f64 (neg.f64 (log.f64 x))) (log.f64 (neg.f64 (neg.f64 (log.f64 x)))))
(log.f64 (/.f64 x (log.f64 x)))
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eval19.0ms (0.5%)

Compiler

Compiled 896 to 372 computations (58.5% saved)

prune10.0ms (0.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New70272
Fresh000
Picked011
Done000
Total70373
Accurracy
100.0%
Counts
73 → 3
Alt Table
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StatusAccuracyProgram
99.6%
(-.f64 (log.f64 x) (-.f64 (+.f64 1 (log.f64 (log.f64 x))) 1))
99.6%
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
100.0%
(log.f64 (/.f64 x (log.f64 x)))
Compiler

Compiled 24 to 16 computations (33.3% saved)

localize7.0ms (0.2%)

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 13 to 4 computations (69.2% saved)

series53.0ms (1.4%)

Counts
2 → 20
Calls

6 calls:

TimeVariablePointExpression
14.0ms
x
@-inf
(log.f64 (/.f64 x (log.f64 x)))
14.0ms
x
@0
(log.f64 (/.f64 x (log.f64 x)))
13.0ms
x
@inf
(log.f64 (/.f64 x (log.f64 x)))
7.0ms
x
@inf
(/.f64 x (log.f64 x))
4.0ms
x
@-inf
(/.f64 x (log.f64 x))

rewrite62.0ms (1.6%)

Algorithm
batch-egg-rewrite
Rules
1392×add-sqr-sqrt
1380×*-un-lft-identity
1280×add-cube-cbrt
1262×add-cbrt-cube
1248×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0726
113626
2171626
Stop Event
node limit
Counts
2 → 64
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 (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 (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 (/.f64 1 (log.f64 x)) x) (*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (log.f64 x)))) (*.f64 (/.f64 1 (sqrt.f64 (log.f64 x))) (/.f64 x (sqrt.f64 (log.f64 x)))) (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (/.f64 x (cbrt.f64 (log.f64 x)))) (*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (log.f64 x))) (*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (log.f64 x)))) (*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.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 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (/.f64 x (log.f64 x)))) (pow.f64 (/.f64 x (log.f64 x)) 1) (pow.f64 (sqrt.f64 (/.f64 x (log.f64 x))) 2) (pow.f64 (cbrt.f64 (/.f64 x (log.f64 x))) 3) (pow.f64 (pow.f64 (/.f64 x (log.f64 x)) 3) 1/3) (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 1) (log.f64 (/.f64 x (log.f64 x)))) (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2)) (cbrt.f64 (log.f64 (/.f64 x (log.f64 x))))) (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 (log.f64 (pow.f64 (cbrt.f64 (/.f64 x (log.f64 x))) 2)) (log.f64 (cbrt.f64 (/.f64 x (log.f64 x))))) (+.f64 (log.f64 (sqrt.f64 (/.f64 x (log.f64 x)))) (log.f64 (sqrt.f64 (/.f64 x (log.f64 x))))) (-.f64 (log.f64 x) (log.f64 (log.f64 x))) (-.f64 0 (log.f64 (/.f64 (log.f64 x) x))) (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 (log.f64 x)))) (-.f64 (+.f64 1 (log.f64 (/.f64 x (log.f64 x)))) 1) (*.f64 (log.f64 (/.f64 x (log.f64 x))) 1) (*.f64 1 (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 (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 (-.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 (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)))))) (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 1) (pow.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2) (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) (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 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) (neg.f64 (log.f64 (log.f64 x)))) (fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (cbrt.f64 (log.f64 x)) (neg.f64 (log.f64 (log.f64 x)))))

simplify70.0ms (1.8%)

Algorithm
egg-herbie
Rules
1128×associate--r+
946×unswap-sqr
574×associate-/l*
570×fma-def
554×times-frac
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01641762
13841438
214911438
373801422
Stop Event
node limit
Counts
84 → 83
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 (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 (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 (/.f64 1 (log.f64 x)) x)
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (log.f64 x))))
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 x))) (/.f64 x (sqrt.f64 (log.f64 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (/.f64 x (cbrt.f64 (log.f64 x))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (log.f64 x)))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (log.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.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 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (/.f64 x (log.f64 x))))
(pow.f64 (/.f64 x (log.f64 x)) 1)
(pow.f64 (sqrt.f64 (/.f64 x (log.f64 x))) 2)
(pow.f64 (cbrt.f64 (/.f64 x (log.f64 x))) 3)
(pow.f64 (pow.f64 (/.f64 x (log.f64 x)) 3) 1/3)
(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 1) (log.f64 (/.f64 x (log.f64 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2)) (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))))
(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 (log.f64 (pow.f64 (cbrt.f64 (/.f64 x (log.f64 x))) 2)) (log.f64 (cbrt.f64 (/.f64 x (log.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 x (log.f64 x)))) (log.f64 (sqrt.f64 (/.f64 x (log.f64 x)))))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(-.f64 0 (log.f64 (/.f64 (log.f64 x) x)))
(-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 (log.f64 x))))
(-.f64 (+.f64 1 (log.f64 (/.f64 x (log.f64 x)))) 1)
(*.f64 (log.f64 (/.f64 x (log.f64 x))) 1)
(*.f64 1 (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 (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 (-.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 (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))))))
(pow.f64 (log.f64 (/.f64 x (log.f64 x))) 1)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2)
(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)
(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 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) (neg.f64 (log.f64 (log.f64 x))))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (cbrt.f64 (log.f64 x)) (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 (log.f64 (neg.f64 x)) (log.f64 -1)))
(/.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 (log.f64 (neg.f64 x)) (log.f64 -1)))
(/.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 (log.f64 (neg.f64 x)) (log.f64 -1)))
(/.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 (log.f64 (neg.f64 x)) (log.f64 -1)))
(+.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 (log.f64 (/.f64 -1 (-.f64 (log.f64 (neg.f64 x)) (log.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)))))
(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 (log.f64 (/.f64 -1 (-.f64 (log.f64 (neg.f64 x)) (log.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)))))
(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 (log.f64 (/.f64 -1 (-.f64 (log.f64 (neg.f64 x)) (log.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)))))
(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 (log.f64 (/.f64 -1 (-.f64 (log.f64 (neg.f64 x)) (log.f64 -1)))) (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 (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 (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 (/.f64 1 (log.f64 x)) 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 (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 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 (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))
(*.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) (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 (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 (cbrt.f64 (/.f64 x (log.f64 x))) (pow.f64 (cbrt.f64 x) 2)) (pow.f64 (cbrt.f64 (log.f64 x)) 2))
(pow.f64 (/.f64 x (log.f64 x)) 1)
(/.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 (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 (/.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 1) (log.f64 (/.f64 x (log.f64 x))))
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x)))
(/.f64 x (log.f64 x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2)) (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))))
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x)))
(/.f64 x (log.f64 x))
(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) (log.f64 (/.f64 1 (log.f64 x))))
(log.f64 (/.f64 x (log.f64 x)))
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))
(log.f64 (/.f64 x (log.f64 x)))
(+.f64 0 (log.f64 (/.f64 x (log.f64 x))))
(log.f64 (/.f64 x (log.f64 x)))
(+.f64 (log.f64 (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 (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 x) (log.f64 (log.f64 x)))
(log.f64 (/.f64 x (log.f64 x)))
(-.f64 0 (log.f64 (/.f64 (log.f64 x) x)))
(log.f64 (/.f64 x (log.f64 x)))
(-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 (log.f64 x))))
(log.f64 (/.f64 x (log.f64 x)))
(-.f64 (+.f64 1 (log.f64 (/.f64 x (log.f64 x)))) 1)
(log.f64 (/.f64 x (log.f64 x)))
(*.f64 (log.f64 (/.f64 x (log.f64 x))) 1)
(log.f64 (/.f64 x (log.f64 x)))
(*.f64 1 (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 (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 (-.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 (log.f64 (/.f64 x (log.f64 x))) (+.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 (*.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)))
(pow.f64 (log.f64 (/.f64 x (log.f64 x))) 1)
(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)))
(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)))
(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)))
(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 x (log.f64 x)))) 1))
(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 (sqrt.f64 (log.f64 x)) (sqrt.f64 (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)))

localize15.0ms (0.4%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
100.0%
(+.f64 1 (log.f64 (log.f64 x)))
100.0%
(-.f64 (+.f64 1 (log.f64 (log.f64 x))) 1)
99.9%
(log.f64 (log.f64 x))
99.6%
(-.f64 (log.f64 x) (-.f64 (+.f64 1 (log.f64 (log.f64 x))) 1))
Compiler

Compiled 30 to 15 computations (50% saved)

series2.0ms (0.1%)

Counts
3 → 32
Calls

9 calls:

TimeVariablePointExpression
2.0ms
x
@0
(-.f64 (+.f64 1 (log.f64 (log.f64 x))) 1)
0.0ms
x
@-inf
(-.f64 (log.f64 x) (-.f64 (+.f64 1 (log.f64 (log.f64 x))) 1))
0.0ms
x
@0
(-.f64 (log.f64 x) (-.f64 (+.f64 1 (log.f64 (log.f64 x))) 1))
0.0ms
x
@-inf
(+.f64 1 (log.f64 (log.f64 x)))
0.0ms
x
@inf
(-.f64 (log.f64 x) (-.f64 (+.f64 1 (log.f64 (log.f64 x))) 1))

rewrite133.0ms (3.5%)

Algorithm
batch-egg-rewrite
Rules
1522×associate-*r/
1126×associate-*l/
882×*-commutative
414×associate-+l+
362×associate-/r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01067
121839
2318039
Stop Event
node limit
Counts
3 → 284
Calls
Call 1
Inputs
(-.f64 (log.f64 x) (-.f64 (+.f64 1 (log.f64 (log.f64 x))) 1))
(-.f64 (+.f64 1 (log.f64 (log.f64 x))) 1)
(+.f64 1 (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))) (fma.f64 (neg.f64 (log.f64 (log.f64 x))) 1 (log.f64 (log.f64 x))))) (+.f64 (log.f64 x) (+.f64 (neg.f64 (log.f64 (log.f64 x))) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 (log.f64 x)))) (sqrt.f64 (log.f64 (log.f64 x))) (log.f64 (log.f64 x))))) (+.f64 (log.f64 x) (+.f64 (neg.f64 (log.f64 (log.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (log.f64 x)))) (pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) 2) (log.f64 (log.f64 x))))) (+.f64 (log.f64 x) (+.f64 (*.f64 (+.f64 1 (log.f64 (log.f64 x))) -1) 1)) (+.f64 (log.f64 x) (+.f64 (*.f64 (sqrt.f64 (+.f64 1 (log.f64 (log.f64 x)))) (neg.f64 (sqrt.f64 (+.f64 1 (log.f64 (log.f64 x)))))) 1)) (+.f64 (log.f64 x) (+.f64 (*.f64 (cbrt.f64 (+.f64 1 (log.f64 (log.f64 x)))) (neg.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (log.f64 x)))) 2))) 1)) (+.f64 (log.f64 x) (-.f64 (neg.f64 (+.f64 1 (log.f64 (log.f64 x)))) -1)) (+.f64 (log.f64 x) (-.f64 (*.f64 (+.f64 1 (log.f64 (log.f64 x))) -1) -1)) (+.f64 (log.f64 x) (-.f64 (*.f64 (sqrt.f64 (+.f64 1 (log.f64 (log.f64 x)))) (neg.f64 (sqrt.f64 (+.f64 1 (log.f64 (log.f64 x)))))) -1)) (+.f64 (log.f64 x) (-.f64 (*.f64 (cbrt.f64 (+.f64 1 (log.f64 (log.f64 x)))) (neg.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (log.f64 x)))) 2))) -1)) (+.f64 1 (-.f64 (log.f64 (/.f64 x (log.f64 x))) 1)) (+.f64 1 (+.f64 (-.f64 (log.f64 (/.f64 x (log.f64 x))) 1) (fma.f64 (neg.f64 (log.f64 (log.f64 x))) 1 (log.f64 (log.f64 x))))) (+.f64 1 (+.f64 (-.f64 (log.f64 (/.f64 x (log.f64 x))) 1) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 (log.f64 x)))) (sqrt.f64 (log.f64 (log.f64 x))) (log.f64 (log.f64 x))))) (+.f64 1 (+.f64 (-.f64 (log.f64 (/.f64 x (log.f64 x))) 1) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (log.f64 x)))) (pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) 2) (log.f64 (log.f64 x))))) (+.f64 (log.f64 (/.f64 x (log.f64 x))) (fma.f64 (neg.f64 (+.f64 1 (log.f64 (log.f64 x)))) 1 (+.f64 1 (log.f64 (log.f64 x))))) (+.f64 (log.f64 (/.f64 x (log.f64 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simplify172.0ms (4.5%)

Algorithm
egg-herbie
Rules
1212×+-commutative
790×associate--l-
612×fma-def
586×associate-/l*
538×associate-+r+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
068414740
1174113436
2746613436
Stop Event
node limit
Counts
316 → 404
Calls
Call 1
Inputs
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
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(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
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(log1p.f64 (-.f64 (*.f64 (log.f64 x) (E.f64)) 1))
(fma.f64 1 (log.f64 (log.f64 x)) 1)
(fma.f64 (sqrt.f64 (log.f64 (log.f64 x))) (sqrt.f64 (log.f64 (log.f64 x))) 1)
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) 2) (cbrt.f64 (log.f64 (log.f64 x))) 1)
Outputs
(-.f64 (log.f64 x) (log.f64 (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 x) (log.f64 (log.f64 x)))
(log.f64 (/.f64 x (log.f64 x)))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(log.f64 (/.f64 x (log.f64 x)))
(-.f64 (*.f64 -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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(-.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (log.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))
(-.f64 (log.f64 -1) (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))))
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(-.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (log.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))
(-.f64 (log.f64 -1) (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))))
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(log.f64 (log.f64 x))
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(/.f64 (*.f64 (sqrt.f64 (+.f64 1 (log.f64 (log.f64 x)))) (sqrt.f64 (+.f64 1 (pow.f64 (log.f64 (log.f64 x)) 3)))) (sqrt.f64 (+.f64 1 (*.f64 (log.f64 (log.f64 x)) (+.f64 (log.f64 (log.f64 x)) -1)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (log.f64 (log.f64 x)) 1)) (sqrt.f64 (+.f64 1 (pow.f64 (log.f64 (log.f64 x)) 3)))) (sqrt.f64 (+.f64 1 (*.f64 (log.f64 (log.f64 x)) (+.f64 (log.f64 (log.f64 x)) -1)))))
(*.f64 (/.f64 (hypot.f64 1 (pow.f64 (log.f64 (log.f64 x)) 3/2)) (sqrt.f64 (fma.f64 (log.f64 (log.f64 x)) (+.f64 (log.f64 (log.f64 x)) -1) 1))) (sqrt.f64 (+.f64 (log.f64 (log.f64 x)) 1)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 (log.f64 (log.f64 x)))) (sqrt.f64 (-.f64 1 (pow.f64 (log.f64 (log.f64 x)) 2)))) (sqrt.f64 (-.f64 1 (log.f64 (log.f64 x)))))
(/.f64 (sqrt.f64 (+.f64 (log.f64 (log.f64 x)) 1)) (/.f64 (sqrt.f64 (-.f64 1 (log.f64 (log.f64 x)))) (sqrt.f64 (-.f64 1 (pow.f64 (log.f64 (log.f64 x)) 2)))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (log.f64 (log.f64 x)) 1)) (sqrt.f64 (-.f64 1 (log.f64 (log.f64 x))))) (sqrt.f64 (-.f64 1 (pow.f64 (log.f64 (log.f64 x)) 2))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (log.f64 x)))) 2) (cbrt.f64 (+.f64 1 (pow.f64 (log.f64 (log.f64 x)) 3)))) (cbrt.f64 (+.f64 1 (*.f64 (log.f64 (log.f64 x)) (+.f64 (log.f64 (log.f64 x)) -1)))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 (log.f64 (log.f64 x)) 1)) 2) (/.f64 (cbrt.f64 (+.f64 1 (*.f64 (log.f64 (log.f64 x)) (+.f64 (log.f64 (log.f64 x)) -1)))) (cbrt.f64 (+.f64 1 (pow.f64 (log.f64 (log.f64 x)) 3)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (log.f64 (log.f64 x)) 1)) 2) (cbrt.f64 (fma.f64 (log.f64 (log.f64 x)) (+.f64 (log.f64 (log.f64 x)) -1) 1))) (cbrt.f64 (+.f64 1 (pow.f64 (log.f64 (log.f64 x)) 3))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (log.f64 x)))) 2) (cbrt.f64 (-.f64 1 (pow.f64 (log.f64 (log.f64 x)) 2)))) (cbrt.f64 (-.f64 1 (log.f64 (log.f64 x)))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 (log.f64 (log.f64 x)) 1)) 2) (/.f64 (cbrt.f64 (-.f64 1 (log.f64 (log.f64 x)))) (cbrt.f64 (-.f64 1 (pow.f64 (log.f64 (log.f64 x)) 2)))))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (log.f64 (log.f64 x)) 2))) (cbrt.f64 (-.f64 1 (log.f64 (log.f64 x))))) (pow.f64 (cbrt.f64 (+.f64 (log.f64 (log.f64 x)) 1)) 2))
(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (log.f64 x)) 2) 1) 1) (+.f64 (log.f64 (log.f64 x)) -1))
(/.f64 (+.f64 (pow.f64 (log.f64 (log.f64 x)) 2) -1) (+.f64 (log.f64 (log.f64 x)) -1))
(/.f64 (+.f64 -1 (pow.f64 (log.f64 (log.f64 x)) 2)) (+.f64 (log.f64 (log.f64 x)) -1))
(/.f64 (*.f64 (neg.f64 (-.f64 1 (pow.f64 (log.f64 (log.f64 x)) 2))) 1) (neg.f64 (-.f64 1 (log.f64 (log.f64 x)))))
(/.f64 (+.f64 (pow.f64 (log.f64 (log.f64 x)) 2) -1) (+.f64 (log.f64 (log.f64 x)) -1))
(/.f64 (+.f64 -1 (pow.f64 (log.f64 (log.f64 x)) 2)) (+.f64 (log.f64 (log.f64 x)) -1))
(/.f64 (*.f64 (neg.f64 (+.f64 1 (pow.f64 (log.f64 (log.f64 x)) 3))) 1) (neg.f64 (+.f64 1 (*.f64 (log.f64 (log.f64 x)) (+.f64 (log.f64 (log.f64 x)) -1)))))
(*.f64 (+.f64 1 (pow.f64 (log.f64 (log.f64 x)) 3)) (/.f64 1 (+.f64 1 (*.f64 (log.f64 (log.f64 x)) (+.f64 (log.f64 (log.f64 x)) -1)))))
(/.f64 (+.f64 1 (pow.f64 (log.f64 (log.f64 x)) 3)) (fma.f64 (log.f64 (log.f64 x)) (+.f64 (log.f64 (log.f64 x)) -1) 1))
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 (pow.f64 (log.f64 (log.f64 x)) 3))) (sqrt.f64 (+.f64 1 (log.f64 (log.f64 x))))) (sqrt.f64 (+.f64 1 (*.f64 (log.f64 (log.f64 x)) (+.f64 (log.f64 (log.f64 x)) -1)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (log.f64 (log.f64 x)) 1)) (sqrt.f64 (+.f64 1 (pow.f64 (log.f64 (log.f64 x)) 3)))) (sqrt.f64 (+.f64 1 (*.f64 (log.f64 (log.f64 x)) (+.f64 (log.f64 (log.f64 x)) -1)))))
(*.f64 (/.f64 (hypot.f64 1 (pow.f64 (log.f64 (log.f64 x)) 3/2)) (sqrt.f64 (fma.f64 (log.f64 (log.f64 x)) (+.f64 (log.f64 (log.f64 x)) -1) 1))) (sqrt.f64 (+.f64 (log.f64 (log.f64 x)) 1)))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (log.f64 (log.f64 x)) 2))) (sqrt.f64 (+.f64 1 (log.f64 (log.f64 x))))) (sqrt.f64 (-.f64 1 (log.f64 (log.f64 x)))))
(/.f64 (sqrt.f64 (+.f64 (log.f64 (log.f64 x)) 1)) (/.f64 (sqrt.f64 (-.f64 1 (log.f64 (log.f64 x)))) (sqrt.f64 (-.f64 1 (pow.f64 (log.f64 (log.f64 x)) 2)))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (log.f64 (log.f64 x)) 1)) (sqrt.f64 (-.f64 1 (log.f64 (log.f64 x))))) (sqrt.f64 (-.f64 1 (pow.f64 (log.f64 (log.f64 x)) 2))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (log.f64 (log.f64 x)) 3))) (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (log.f64 x)))) 2)) (cbrt.f64 (+.f64 1 (*.f64 (log.f64 (log.f64 x)) (+.f64 (log.f64 (log.f64 x)) -1)))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 (log.f64 (log.f64 x)) 1)) 2) (/.f64 (cbrt.f64 (+.f64 1 (*.f64 (log.f64 (log.f64 x)) (+.f64 (log.f64 (log.f64 x)) -1)))) (cbrt.f64 (+.f64 1 (pow.f64 (log.f64 (log.f64 x)) 3)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (log.f64 (log.f64 x)) 1)) 2) (cbrt.f64 (fma.f64 (log.f64 (log.f64 x)) (+.f64 (log.f64 (log.f64 x)) -1) 1))) (cbrt.f64 (+.f64 1 (pow.f64 (log.f64 (log.f64 x)) 3))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (log.f64 (log.f64 x)) 2))) (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (log.f64 x)))) 2)) (cbrt.f64 (-.f64 1 (log.f64 (log.f64 x)))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 (log.f64 (log.f64 x)) 1)) 2) (/.f64 (cbrt.f64 (-.f64 1 (log.f64 (log.f64 x)))) (cbrt.f64 (-.f64 1 (pow.f64 (log.f64 (log.f64 x)) 2)))))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (log.f64 (log.f64 x)) 2))) (cbrt.f64 (-.f64 1 (log.f64 (log.f64 x))))) (pow.f64 (cbrt.f64 (+.f64 (log.f64 (log.f64 x)) 1)) 2))
(/.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 (log.f64 (log.f64 x)) 2) (pow.f64 (log.f64 (log.f64 x)) 2))) (/.f64 1 (-.f64 1 (log.f64 (log.f64 x))))) (+.f64 1 (pow.f64 (log.f64 (log.f64 x)) 2)))
(/.f64 (-.f64 1 (pow.f64 (log.f64 (log.f64 x)) 4)) (/.f64 (+.f64 1 (pow.f64 (log.f64 (log.f64 x)) 2)) (/.f64 1 (-.f64 1 (log.f64 (log.f64 x))))))
(/.f64 (-.f64 1 (pow.f64 (log.f64 (log.f64 x)) 4)) (*.f64 (+.f64 1 (pow.f64 (log.f64 (log.f64 x)) 2)) (-.f64 1 (log.f64 (log.f64 x)))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (pow.f64 (log.f64 (log.f64 x)) 2) 3)) (/.f64 1 (-.f64 1 (log.f64 (log.f64 x))))) (+.f64 (+.f64 1 (*.f64 (pow.f64 (log.f64 (log.f64 x)) 2) (pow.f64 (log.f64 (log.f64 x)) 2))) (pow.f64 (log.f64 (log.f64 x)) 2)))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (log.f64 (log.f64 x)) 2) 3)) (/.f64 (+.f64 1 (+.f64 (pow.f64 (log.f64 (log.f64 x)) 4) (pow.f64 (log.f64 (log.f64 x)) 2))) (/.f64 1 (-.f64 1 (log.f64 (log.f64 x))))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (log.f64 (log.f64 x)) 6)) (-.f64 1 (log.f64 (log.f64 x)))) (+.f64 1 (+.f64 (pow.f64 (log.f64 (log.f64 x)) 2) (pow.f64 (log.f64 (log.f64 x)) 4))))
(/.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 (log.f64 (log.f64 x)) 3) (pow.f64 (log.f64 (log.f64 x)) 3))) (/.f64 1 (+.f64 1 (*.f64 (log.f64 (log.f64 x)) (+.f64 (log.f64 (log.f64 x)) -1))))) (-.f64 1 (pow.f64 (log.f64 (log.f64 x)) 3)))
(/.f64 (-.f64 1 (pow.f64 (log.f64 (log.f64 x)) 6)) (/.f64 (-.f64 1 (pow.f64 (log.f64 (log.f64 x)) 3)) (/.f64 1 (+.f64 1 (*.f64 (log.f64 (log.f64 x)) (+.f64 (log.f64 (log.f64 x)) -1))))))
(/.f64 (-.f64 1 (pow.f64 (log.f64 (log.f64 x)) 6)) (*.f64 (-.f64 1 (pow.f64 (log.f64 (log.f64 x)) 3)) (fma.f64 (log.f64 (log.f64 x)) (+.f64 (log.f64 (log.f64 x)) -1) 1)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (pow.f64 (log.f64 (log.f64 x)) 3) 3)) (/.f64 1 (+.f64 1 (*.f64 (log.f64 (log.f64 x)) (+.f64 (log.f64 (log.f64 x)) -1))))) (+.f64 1 (-.f64 (*.f64 (pow.f64 (log.f64 (log.f64 x)) 3) (pow.f64 (log.f64 (log.f64 x)) 3)) (pow.f64 (log.f64 (log.f64 x)) 3))))
(/.f64 (+.f64 1 (pow.f64 (pow.f64 (log.f64 (log.f64 x)) 3) 3)) (/.f64 (+.f64 1 (-.f64 (pow.f64 (log.f64 (log.f64 x)) 6) (pow.f64 (log.f64 (log.f64 x)) 3))) (/.f64 1 (+.f64 1 (*.f64 (log.f64 (log.f64 x)) (+.f64 (log.f64 (log.f64 x)) -1))))))
(/.f64 (+.f64 1 (pow.f64 (pow.f64 (log.f64 (log.f64 x)) 3) 3)) (*.f64 (+.f64 (pow.f64 (log.f64 (log.f64 x)) 6) (-.f64 1 (pow.f64 (log.f64 (log.f64 x)) 3))) (fma.f64 (log.f64 (log.f64 x)) (+.f64 (log.f64 (log.f64 x)) -1) 1)))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (log.f64 (log.f64 x)) 2)) 1) (-.f64 1 (log.f64 (log.f64 x))))
(/.f64 (-.f64 1 (pow.f64 (log.f64 (log.f64 x)) 2)) (-.f64 1 (log.f64 (log.f64 x))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (log.f64 (log.f64 x)) 2)) (sqrt.f64 (-.f64 1 (log.f64 (log.f64 x))))) (sqrt.f64 (-.f64 1 (log.f64 (log.f64 x)))))
(/.f64 (-.f64 1 (pow.f64 (log.f64 (log.f64 x)) 2)) (-.f64 1 (log.f64 (log.f64 x))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (log.f64 (log.f64 x)) 2)) (*.f64 (cbrt.f64 (-.f64 1 (log.f64 (log.f64 x)))) (cbrt.f64 (-.f64 1 (log.f64 (log.f64 x)))))) (cbrt.f64 (-.f64 1 (log.f64 (log.f64 x)))))
(/.f64 (-.f64 1 (pow.f64 (log.f64 (log.f64 x)) 2)) (-.f64 1 (log.f64 (log.f64 x))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (log.f64 (log.f64 x)) 3)) 1) (+.f64 1 (*.f64 (log.f64 (log.f64 x)) (+.f64 (log.f64 (log.f64 x)) -1))))
(*.f64 (+.f64 1 (pow.f64 (log.f64 (log.f64 x)) 3)) (/.f64 1 (+.f64 1 (*.f64 (log.f64 (log.f64 x)) (+.f64 (log.f64 (log.f64 x)) -1)))))
(/.f64 (+.f64 1 (pow.f64 (log.f64 (log.f64 x)) 3)) (fma.f64 (log.f64 (log.f64 x)) (+.f64 (log.f64 (log.f64 x)) -1) 1))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (log.f64 (log.f64 x)) 3)) (sqrt.f64 (+.f64 1 (*.f64 (log.f64 (log.f64 x)) (+.f64 (log.f64 (log.f64 x)) -1))))) (sqrt.f64 (+.f64 1 (*.f64 (log.f64 (log.f64 x)) (+.f64 (log.f64 (log.f64 x)) -1)))))
(*.f64 (+.f64 1 (pow.f64 (log.f64 (log.f64 x)) 3)) (/.f64 1 (+.f64 1 (*.f64 (log.f64 (log.f64 x)) (+.f64 (log.f64 (log.f64 x)) -1)))))
(/.f64 (+.f64 1 (pow.f64 (log.f64 (log.f64 x)) 3)) (fma.f64 (log.f64 (log.f64 x)) (+.f64 (log.f64 (log.f64 x)) -1) 1))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (log.f64 (log.f64 x)) 3)) (*.f64 (cbrt.f64 (+.f64 1 (*.f64 (log.f64 (log.f64 x)) (+.f64 (log.f64 (log.f64 x)) -1)))) (cbrt.f64 (+.f64 1 (*.f64 (log.f64 (log.f64 x)) (+.f64 (log.f64 (log.f64 x)) -1)))))) (cbrt.f64 (+.f64 1 (*.f64 (log.f64 (log.f64 x)) (+.f64 (log.f64 (log.f64 x)) -1)))))
(*.f64 (+.f64 1 (pow.f64 (log.f64 (log.f64 x)) 3)) (/.f64 1 (+.f64 1 (*.f64 (log.f64 (log.f64 x)) (+.f64 (log.f64 (log.f64 x)) -1)))))
(/.f64 (+.f64 1 (pow.f64 (log.f64 (log.f64 x)) 3)) (fma.f64 (log.f64 (log.f64 x)) (+.f64 (log.f64 (log.f64 x)) -1) 1))
(/.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (log.f64 x)) 2) 1) 1) (+.f64 (log.f64 (log.f64 x)) -1))
(/.f64 (+.f64 (pow.f64 (log.f64 (log.f64 x)) 2) -1) (+.f64 (log.f64 (log.f64 x)) -1))
(/.f64 (+.f64 -1 (pow.f64 (log.f64 (log.f64 x)) 2)) (+.f64 (log.f64 (log.f64 x)) -1))
(/.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (log.f64 x)) 2) 1) (sqrt.f64 (+.f64 (log.f64 (log.f64 x)) -1))) (sqrt.f64 (+.f64 (log.f64 (log.f64 x)) -1)))
(/.f64 (+.f64 (pow.f64 (log.f64 (log.f64 x)) 2) -1) (+.f64 (log.f64 (log.f64 x)) -1))
(/.f64 (+.f64 -1 (pow.f64 (log.f64 (log.f64 x)) 2)) (+.f64 (log.f64 (log.f64 x)) -1))
(/.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (log.f64 x)) 2) 1) (*.f64 (cbrt.f64 (+.f64 (log.f64 (log.f64 x)) -1)) (cbrt.f64 (+.f64 (log.f64 (log.f64 x)) -1)))) (cbrt.f64 (+.f64 (log.f64 (log.f64 x)) -1)))
(/.f64 (+.f64 (pow.f64 (log.f64 (log.f64 x)) 2) -1) (+.f64 (log.f64 (log.f64 x)) -1))
(/.f64 (+.f64 -1 (pow.f64 (log.f64 (log.f64 x)) 2)) (+.f64 (log.f64 (log.f64 x)) -1))
(/.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (log.f64 x)) 2) 1) (+.f64 1 (sqrt.f64 (log.f64 (log.f64 x))))) (-.f64 (sqrt.f64 (log.f64 (log.f64 x))) 1))
(/.f64 (+.f64 (pow.f64 (log.f64 (log.f64 x)) 2) -1) (+.f64 (log.f64 (log.f64 x)) -1))
(/.f64 (+.f64 -1 (pow.f64 (log.f64 (log.f64 x)) 2)) (+.f64 (log.f64 (log.f64 x)) -1))
(pow.f64 (+.f64 1 (log.f64 (log.f64 x))) 1)
(+.f64 1 (log.f64 (neg.f64 (neg.f64 (log.f64 x)))))
(+.f64 (log.f64 (log.f64 x)) 1)
(pow.f64 (sqrt.f64 (+.f64 1 (log.f64 (log.f64 x)))) 2)
(+.f64 1 (log.f64 (neg.f64 (neg.f64 (log.f64 x)))))
(+.f64 (log.f64 (log.f64 x)) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (log.f64 x)))) 3)
(+.f64 1 (log.f64 (neg.f64 (neg.f64 (log.f64 x)))))
(+.f64 (log.f64 (log.f64 x)) 1)
(pow.f64 (pow.f64 (+.f64 1 (log.f64 (log.f64 x))) 3) 1/3)
(+.f64 1 (log.f64 (neg.f64 (neg.f64 (log.f64 x)))))
(+.f64 (log.f64 (log.f64 x)) 1)
(sqrt.f64 (pow.f64 (+.f64 1 (log.f64 (log.f64 x))) 2))
(sqrt.f64 (pow.f64 (+.f64 (log.f64 (log.f64 x)) 1) 2))
(fabs.f64 (+.f64 (log.f64 (log.f64 x)) 1))
(log.f64 (*.f64 (log.f64 x) (E.f64)))
(+.f64 1 (log.f64 (neg.f64 (neg.f64 (log.f64 x)))))
(+.f64 (log.f64 (log.f64 x)) 1)
(log.f64 (+.f64 1 (-.f64 (*.f64 (log.f64 x) (E.f64)) 1)))
(log1p.f64 (fma.f64 (log.f64 x) (E.f64) -1))
(cbrt.f64 (pow.f64 (+.f64 1 (log.f64 (log.f64 x))) 3))
(+.f64 1 (log.f64 (neg.f64 (neg.f64 (log.f64 x)))))
(+.f64 (log.f64 (log.f64 x)) 1)
(expm1.f64 (log.f64 (+.f64 (log.f64 (log.f64 x)) 2)))
(exp.f64 (log1p.f64 (log.f64 (log.f64 x))))
(log1p.f64 (-.f64 (*.f64 (log.f64 x) (E.f64)) 1))
(log1p.f64 (fma.f64 (log.f64 x) (E.f64) -1))
(fma.f64 1 (log.f64 (log.f64 x)) 1)
(+.f64 1 (log.f64 (neg.f64 (neg.f64 (log.f64 x)))))
(+.f64 (log.f64 (log.f64 x)) 1)
(fma.f64 (sqrt.f64 (log.f64 (log.f64 x))) (sqrt.f64 (log.f64 (log.f64 x))) 1)
(+.f64 1 (log.f64 (neg.f64 (neg.f64 (log.f64 x)))))
(+.f64 (log.f64 (log.f64 x)) 1)
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) 2) (cbrt.f64 (log.f64 (log.f64 x))) 1)
(+.f64 1 (log.f64 (neg.f64 (neg.f64 (log.f64 x)))))
(+.f64 (log.f64 (log.f64 x)) 1)

eval172.0ms (4.5%)

Compiler

Compiled 11125 to 5548 computations (50.1% saved)

prune72.0ms (1.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New5131514
Fresh000
Picked101
Done022
Total5143517
Accurracy
100.0%
Counts
517 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
100.0%
(log.f64 (/.f64 x (log.f64 x)))
100.0%
(log.f64 (*.f64 (/.f64 1 (log.f64 x)) x))
Compiler

Compiled 21 to 14 computations (33.3% saved)

localize13.0ms (0.3%)

Local Accuracy

Found 3 expressions with local accuracy:

NewAccuracyProgram
100.0%
(log.f64 (*.f64 (/.f64 1 (log.f64 x)) x))
99.6%
(*.f64 (/.f64 1 (log.f64 x)) x)
99.5%
(/.f64 1 (log.f64 x))
Compiler

Compiled 22 to 12 computations (45.5% saved)

series2.0ms (0%)

Counts
3 → 32
Calls

9 calls:

TimeVariablePointExpression
0.0ms
x
@-inf
(/.f64 1 (log.f64 x))
0.0ms
x
@0
(/.f64 1 (log.f64 x))
0.0ms
x
@inf
(/.f64 1 (log.f64 x))
0.0ms
x
@-inf
(log.f64 (*.f64 (/.f64 1 (log.f64 x)) x))
0.0ms
x
@-inf
(*.f64 (/.f64 1 (log.f64 x)) x)

rewrite62.0ms (1.6%)

Algorithm
batch-egg-rewrite
Rules
1562×add-sqr-sqrt
1546×*-un-lft-identity
1434×add-cube-cbrt
1412×add-cbrt-cube
1394×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0937
117037
2198637
Stop Event
node limit
Counts
3 → 72
Calls
Call 1
Inputs
(/.f64 1 (log.f64 x))
(*.f64 (/.f64 1 (log.f64 x)) x)
(log.f64 (*.f64 (/.f64 1 (log.f64 x)) x))
Outputs
((-.f64 (+.f64 1 (/.f64 1 (log.f64 x))) 1) (*.f64 1 (/.f64 1 (log.f64 x))) (*.f64 (/.f64 1 (log.f64 x)) 1) (*.f64 (pow.f64 (log.f64 x) -1/2) (pow.f64 (log.f64 x) -1/2)) (*.f64 (/.f64 1 (cbrt.f64 (log.f64 x))) (cbrt.f64 (pow.f64 (log.f64 x) -2))) (*.f64 (cbrt.f64 (pow.f64 (log.f64 x) -2)) (/.f64 1 (cbrt.f64 (log.f64 x)))) (*.f64 -1 (/.f64 1 (neg.f64 (log.f64 x)))) (*.f64 (pow.f64 (sqrt.f64 (log.f64 x)) -1) (pow.f64 (sqrt.f64 (log.f64 x)) -1)) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) -1) (pow.f64 (cbrt.f64 (log.f64 x)) -1)) (pow.f64 (log.f64 x) -1) (pow.f64 (/.f64 1 (log.f64 x)) 1) (pow.f64 (pow.f64 (log.f64 x) -1/2) 2) (pow.f64 (/.f64 1 (cbrt.f64 (log.f64 x))) 3) (pow.f64 (pow.f64 (/.f64 1 (log.f64 x)) 3) 1/3) (sqrt.f64 (pow.f64 (log.f64 x) -2)) (log.f64 (exp.f64 (/.f64 1 (log.f64 x)))) (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 x)) 3)) (expm1.f64 (log1p.f64 (/.f64 1 (log.f64 x)))) (exp.f64 (neg.f64 (log.f64 (log.f64 x)))) (exp.f64 (*.f64 (neg.f64 (log.f64 (log.f64 x))) 1)) (exp.f64 (*.f64 (log.f64 (log.f64 x)) -1)) (log1p.f64 (expm1.f64 (/.f64 1 (log.f64 x)))))
((+.f64 1 (-.f64 (/.f64 x (log.f64 x)) 1)) (-.f64 (+.f64 1 (/.f64 x (log.f64 x))) 1) (/.f64 1 (/.f64 (log.f64 x) x)) (/.f64 x (log.f64 x)) (/.f64 (sqrt.f64 x) (/.f64 (log.f64 x) (sqrt.f64 x))) (/.f64 (cbrt.f64 (*.f64 x x)) (/.f64 (log.f64 x) (cbrt.f64 x))) (/.f64 (*.f64 x -1) (neg.f64 (log.f64 x))) (/.f64 (*.f64 -1 x) (neg.f64 (log.f64 x))) (/.f64 (/.f64 x 1) (log.f64 x)) (/.f64 (/.f64 x (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x))) (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x))) (/.f64 (neg.f64 x) (neg.f64 (log.f64 x))) (pow.f64 (/.f64 x (log.f64 x)) 1) (pow.f64 (sqrt.f64 (/.f64 x (log.f64 x))) 2) (pow.f64 (cbrt.f64 (/.f64 x (log.f64 x))) 3) (pow.f64 (pow.f64 (/.f64 x (log.f64 x)) 3) 1/3) (pow.f64 (E.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 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))) (sqrt.f64 (log.f64 (/.f64 x (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 0 (log.f64 (/.f64 x (log.f64 x)))) (+.f64 (neg.f64 (log.f64 (log.f64 x))) (log.f64 x)) (+.f64 (log.f64 (sqrt.f64 (/.f64 x (log.f64 x)))) (log.f64 (sqrt.f64 (/.f64 x (log.f64 x))))) (+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 x (log.f64 x))) 2)) (log.f64 (cbrt.f64 (/.f64 x (log.f64 x))))) (+.f64 (*.f64 (neg.f64 (log.f64 (log.f64 x))) 1) (log.f64 x)) (-.f64 (log.f64 x) (log.f64 (log.f64 x))) (-.f64 (+.f64 1 (log.f64 (/.f64 x (log.f64 x)))) 1) (*.f64 1 (log.f64 (/.f64 x (log.f64 x)))) (*.f64 (log.f64 (/.f64 x (log.f64 x))) 1) (*.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))) (sqrt.f64 (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 (-.f64 (*.f64 (neg.f64 (log.f64 (log.f64 x))) (neg.f64 (log.f64 (log.f64 x)))) (pow.f64 (log.f64 x) 2)) (-.f64 (neg.f64 (log.f64 (log.f64 x))) (log.f64 x))) (/.f64 (+.f64 (pow.f64 (neg.f64 (log.f64 (log.f64 x))) 3) (pow.f64 (log.f64 x) 3)) (+.f64 (*.f64 (neg.f64 (log.f64 (log.f64 x))) (neg.f64 (log.f64 (log.f64 x)))) (-.f64 (pow.f64 (log.f64 x) 2) (*.f64 (neg.f64 (log.f64 (log.f64 x))) (log.f64 x))))) (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 1) (pow.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2) (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) (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)))

simplify55.0ms (1.4%)

Algorithm
egg-herbie
Rules
1218×unswap-sqr
778×times-frac
750×fma-def
568×distribute-lft-in
542×distribute-rgt-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01771884
14091730
215341726
Stop Event
node limit
Counts
104 → 96
Calls
Call 1
Inputs
(/.f64 -1 (log.f64 (/.f64 1 x)))
(/.f64 -1 (log.f64 (/.f64 1 x)))
(/.f64 -1 (log.f64 (/.f64 1 x)))
(/.f64 -1 (log.f64 (/.f64 1 x)))
(/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(/.f64 x (log.f64 x))
(/.f64 x (log.f64 x))
(/.f64 x (log.f64 x))
(/.f64 x (log.f64 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 -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 (+.f64 1 (/.f64 1 (log.f64 x))) 1)
(*.f64 1 (/.f64 1 (log.f64 x)))
(*.f64 (/.f64 1 (log.f64 x)) 1)
(*.f64 (pow.f64 (log.f64 x) -1/2) (pow.f64 (log.f64 x) -1/2))
(*.f64 (/.f64 1 (cbrt.f64 (log.f64 x))) (cbrt.f64 (pow.f64 (log.f64 x) -2)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 x) -2)) (/.f64 1 (cbrt.f64 (log.f64 x))))
(*.f64 -1 (/.f64 1 (neg.f64 (log.f64 x))))
(*.f64 (pow.f64 (sqrt.f64 (log.f64 x)) -1) (pow.f64 (sqrt.f64 (log.f64 x)) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) -1) (pow.f64 (cbrt.f64 (log.f64 x)) -1))
(pow.f64 (log.f64 x) -1)
(pow.f64 (/.f64 1 (log.f64 x)) 1)
(pow.f64 (pow.f64 (log.f64 x) -1/2) 2)
(pow.f64 (/.f64 1 (cbrt.f64 (log.f64 x))) 3)
(pow.f64 (pow.f64 (/.f64 1 (log.f64 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (log.f64 x) -2))
(log.f64 (exp.f64 (/.f64 1 (log.f64 x))))
(cbrt.f64 (pow.f64 (/.f64 1 (log.f64 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (log.f64 x))))
(exp.f64 (neg.f64 (log.f64 (log.f64 x))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (log.f64 x))) 1))
(exp.f64 (*.f64 (log.f64 (log.f64 x)) -1))
(log1p.f64 (expm1.f64 (/.f64 1 (log.f64 x))))
(+.f64 1 (-.f64 (/.f64 x (log.f64 x)) 1))
(-.f64 (+.f64 1 (/.f64 x (log.f64 x))) 1)
(/.f64 1 (/.f64 (log.f64 x) x))
(/.f64 x (log.f64 x))
(/.f64 (sqrt.f64 x) (/.f64 (log.f64 x) (sqrt.f64 x)))
(/.f64 (cbrt.f64 (*.f64 x x)) (/.f64 (log.f64 x) (cbrt.f64 x)))
(/.f64 (*.f64 x -1) (neg.f64 (log.f64 x)))
(/.f64 (*.f64 -1 x) (neg.f64 (log.f64 x)))
(/.f64 (/.f64 x 1) (log.f64 x))
(/.f64 (/.f64 x (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)))
(/.f64 (/.f64 x (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x)))
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x)))
(pow.f64 (/.f64 x (log.f64 x)) 1)
(pow.f64 (sqrt.f64 (/.f64 x (log.f64 x))) 2)
(pow.f64 (cbrt.f64 (/.f64 x (log.f64 x))) 3)
(pow.f64 (pow.f64 (/.f64 x (log.f64 x)) 3) 1/3)
(pow.f64 (E.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 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))) (sqrt.f64 (log.f64 (/.f64 x (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 0 (log.f64 (/.f64 x (log.f64 x))))
(+.f64 (neg.f64 (log.f64 (log.f64 x))) (log.f64 x))
(+.f64 (log.f64 (sqrt.f64 (/.f64 x (log.f64 x)))) (log.f64 (sqrt.f64 (/.f64 x (log.f64 x)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 x (log.f64 x))) 2)) (log.f64 (cbrt.f64 (/.f64 x (log.f64 x)))))
(+.f64 (*.f64 (neg.f64 (log.f64 (log.f64 x))) 1) (log.f64 x))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(-.f64 (+.f64 1 (log.f64 (/.f64 x (log.f64 x)))) 1)
(*.f64 1 (log.f64 (/.f64 x (log.f64 x))))
(*.f64 (log.f64 (/.f64 x (log.f64 x))) 1)
(*.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))) (sqrt.f64 (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 (-.f64 (*.f64 (neg.f64 (log.f64 (log.f64 x))) (neg.f64 (log.f64 (log.f64 x)))) (pow.f64 (log.f64 x) 2)) (-.f64 (neg.f64 (log.f64 (log.f64 x))) (log.f64 x)))
(/.f64 (+.f64 (pow.f64 (neg.f64 (log.f64 (log.f64 x))) 3) (pow.f64 (log.f64 x) 3)) (+.f64 (*.f64 (neg.f64 (log.f64 (log.f64 x))) (neg.f64 (log.f64 (log.f64 x)))) (-.f64 (pow.f64 (log.f64 x) 2) (*.f64 (neg.f64 (log.f64 (log.f64 x))) (log.f64 x)))))
(pow.f64 (log.f64 (/.f64 x (log.f64 x))) 1)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2)
(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)
(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))
Outputs
(/.f64 -1 (log.f64 (/.f64 1 x)))
(/.f64 -1 (neg.f64 (log.f64 x)))
(/.f64 1 (log.f64 x))
(/.f64 -1 (log.f64 (/.f64 1 x)))
(/.f64 -1 (neg.f64 (log.f64 x)))
(/.f64 1 (log.f64 x))
(/.f64 -1 (log.f64 (/.f64 1 x)))
(/.f64 -1 (neg.f64 (log.f64 x)))
(/.f64 1 (log.f64 x))
(/.f64 -1 (log.f64 (/.f64 1 x)))
(/.f64 -1 (neg.f64 (log.f64 x)))
(/.f64 1 (log.f64 x))
(/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(/.f64 1 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))
(/.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(/.f64 1 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))
(/.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(/.f64 1 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))
(/.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(/.f64 1 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))
(/.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(/.f64 x (log.f64 x))
(/.f64 x (log.f64 x))
(/.f64 x (log.f64 x))
(/.f64 x (log.f64 x))
(*.f64 -1 (/.f64 x (log.f64 (/.f64 1 x))))
(/.f64 x (log.f64 x))
(*.f64 -1 (/.f64 x (log.f64 (/.f64 1 x))))
(/.f64 x (log.f64 x))
(*.f64 -1 (/.f64 x (log.f64 (/.f64 1 x))))
(/.f64 x (log.f64 x))
(*.f64 -1 (/.f64 x (log.f64 (/.f64 1 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)))))
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(pow.f64 (pow.f64 (/.f64 1 (log.f64 x)) 3) 1/3)
(/.f64 -1 (neg.f64 (log.f64 x)))
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(/.f64 -1 (neg.f64 (log.f64 x)))
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(log.f64 (exp.f64 (/.f64 1 (log.f64 x))))
(/.f64 -1 (neg.f64 (log.f64 x)))
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(cbrt.f64 (pow.f64 (/.f64 1 (log.f64 x)) 3))
(/.f64 -1 (neg.f64 (log.f64 x)))
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(/.f64 -1 (neg.f64 (log.f64 x)))
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(exp.f64 (neg.f64 (log.f64 (log.f64 x))))
(/.f64 -1 (neg.f64 (log.f64 x)))
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(log1p.f64 (expm1.f64 (/.f64 1 (log.f64 x))))
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(+.f64 1 (-.f64 (/.f64 x (log.f64 x)) 1))
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(-.f64 (+.f64 1 (/.f64 x (log.f64 x))) 1)
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(/.f64 1 (/.f64 (log.f64 x) x))
(/.f64 x (log.f64 x))
(/.f64 x (log.f64 x))
(/.f64 (sqrt.f64 x) (/.f64 (log.f64 x) (sqrt.f64 x)))
(/.f64 x (log.f64 x))
(/.f64 (cbrt.f64 (*.f64 x x)) (/.f64 (log.f64 x) (cbrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (log.f64 x)) (cbrt.f64 x))
(*.f64 (cbrt.f64 x) (/.f64 (cbrt.f64 (*.f64 x x)) (log.f64 x)))
(/.f64 (*.f64 x -1) (neg.f64 (log.f64 x)))
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(/.f64 (*.f64 -1 x) (neg.f64 (log.f64 x)))
(/.f64 x (log.f64 x))
(/.f64 (/.f64 x 1) (log.f64 x))
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(/.f64 (/.f64 x (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)))
(/.f64 x (log.f64 x))
(/.f64 (/.f64 x (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x)))
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(/.f64 (neg.f64 x) (neg.f64 (log.f64 x)))
(/.f64 x (log.f64 x))
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(/.f64 x (log.f64 x))
(pow.f64 (sqrt.f64 (/.f64 x (log.f64 x))) 2)
(/.f64 x (log.f64 x))
(pow.f64 (cbrt.f64 (/.f64 x (log.f64 x))) 3)
(/.f64 x (log.f64 x))
(pow.f64 (pow.f64 (/.f64 x (log.f64 x)) 3) 1/3)
(/.f64 x (log.f64 x))
(pow.f64 (E.f64) (log.f64 (/.f64 x (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 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 x (log.f64 x))
(sqrt.f64 (pow.f64 (/.f64 x (log.f64 x)) 2))
(/.f64 x (log.f64 x))
(log.f64 (exp.f64 (/.f64 x (log.f64 x))))
(/.f64 x (log.f64 x))
(cbrt.f64 (pow.f64 (/.f64 x (log.f64 x)) 3))
(/.f64 x (log.f64 x))
(expm1.f64 (log1p.f64 (/.f64 x (log.f64 x))))
(/.f64 x (log.f64 x))
(exp.f64 (log.f64 (/.f64 x (log.f64 x))))
(/.f64 x (log.f64 x))
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(/.f64 x (log.f64 x))
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))
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(+.f64 0 (log.f64 (/.f64 x (log.f64 x))))
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(+.f64 (neg.f64 (log.f64 (log.f64 x))) (log.f64 x))
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(+.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)))))
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(+.f64 (*.f64 (neg.f64 (log.f64 (log.f64 x))) 1) (log.f64 x))
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(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(log.f64 (/.f64 x (log.f64 x)))
(-.f64 (+.f64 1 (log.f64 (/.f64 x (log.f64 x)))) 1)
(log.f64 (/.f64 x (log.f64 x)))
(*.f64 1 (log.f64 (/.f64 x (log.f64 x))))
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(*.f64 (log.f64 (/.f64 x (log.f64 x))) 1)
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(*.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))) (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))))
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(*.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2))
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(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2) (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))))
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(/.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))))))
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(expm1.f64 (log1p.f64 (log.f64 (/.f64 x (log.f64 x)))))
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eval21.0ms (0.6%)

Compiler

Compiled 1051 to 509 computations (51.6% saved)

prune13.0ms (0.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New96096
Fresh000
Picked011
Done022
Total96399
Accurracy
100.0%
Counts
99 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
100.0%
(log.f64 (/.f64 x (log.f64 x)))
100.0%
(log.f64 (*.f64 (/.f64 1 (log.f64 x)) x))
Compiler

Compiled 21 to 14 computations (33.3% saved)

regimes20.0ms (0.5%)

Accuracy

Total -0.2b remaining (-3100%)

Threshold costs -0.2b (-3100%)

Counts
4 → 1
Calls
Call 1
Inputs
(log.f64 (/.f64 x (log.f64 x)))
(log.f64 (*.f64 (/.f64 1 (log.f64 x)) x))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(-.f64 (log.f64 x) (-.f64 (+.f64 1 (log.f64 (log.f64 x))) 1))
Outputs
(log.f64 (/.f64 x (log.f64 x)))
Calls

3 calls:

7.0ms
(log.f64 x)
4.0ms
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
4.0ms
x
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
100.0%1(log.f64 x)
Compiler

Compiled 41 to 22 computations (46.3% saved)

simplify4.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0715
Stop Event
done
saturated
Calls
Call 1
Inputs
(log.f64 (/.f64 x (log.f64 x)))
Outputs
(log.f64 (/.f64 x (log.f64 x)))
Compiler

Compiled 6 to 4 computations (33.3% saved)

soundness112.0ms (3%)

Algorithm
egg-herbie
Rules
1058×fma-def
742×unswap-sqr
724×associate--r-
712×distribute-lft-in
668×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01392473
13271613
215191613
373391613
Stop Event
node limit
Compiler

Compiled 106 to 76 computations (28.3% saved)

end12.0ms (0.3%)

Compiler

Compiled 6 to 4 computations (33.3% saved)

Profiling

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