Details

Time bar (total: 5.5s)

analyze48.0ms (0.9%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
33.3%25%50%0%0%25%0%3
60%37.5%25%0%0%37.5%0%4
77.8%43.7%12.5%0%0%43.7%0%5
88.2%46.9%6.2%0%0%46.9%0%6
93.9%48.4%3.1%0%0%48.4%0%7
96.9%49.2%1.6%0%0%49.2%0%8
98.4%49.6%0.8%0%0%49.6%0%9
99.2%49.6%0.4%0%0.2%49.8%0%10
99.6%49.7%0.2%0%0.2%49.9%0%11
99.8%49.7%0.1%0%0.2%49.9%0%12
Compiler

Compiled 6 to 4 computations (33.3% saved)

sample1.2s (22.2%)

Results
1.2s8256×body256valid
0.0msbody256infinite
0.0msbody256invalid
Bogosity

preprocess12.0ms (0.2%)

Algorithm
egg-herbie
Rules
*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0611
1711
011
Stop Event
saturated
saturated
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(*.f64 x (log.f64 x))
Outputs
(*.f64 x (log.f64 x))
Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify13.0ms (0.2%)

Algorithm
egg-herbie
Rules
*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0611
1711
Stop Event
saturated
Counts
1 → 1
Calls
Call 1
Inputs
(*.f64 x (log.f64 x))
Outputs
(*.f64 x (log.f64 x))

eval0.0ms (0%)

Compiler

Compiled 5 to 3 computations (40% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Accurracy
99.5%
Counts
2 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
(*.f64 x (log.f64 x))
Compiler

Compiled 5 to 3 computations (40% saved)

localize5.0ms (0.1%)

Local Accuracy

Found 1 expressions with local accuracy:

NewAccuracyProgram
99.5%
(*.f64 x (log.f64 x))
Compiler

Compiled 8 to 3 computations (62.5% saved)

series61.0ms (1.1%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
33.0ms
x
@0
(*.f64 x (log.f64 x))
21.0ms
x
@-inf
(*.f64 x (log.f64 x))
7.0ms
x
@inf
(*.f64 x (log.f64 x))

rewrite86.0ms (1.6%)

Algorithm
batch-egg-rewrite
Rules
1044×pow1
992×add-sqr-sqrt
950×add-exp-log
950×log1p-expm1-u
950×expm1-log1p-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0611
111311
2132011
Stop Event
node limit
Counts
1 → 11
Calls
Call 1
Inputs
(*.f64 x (log.f64 x))
Outputs
(-.f64 (+.f64 1 (*.f64 x (log.f64 x))) 1)
(pow.f64 (*.f64 x (log.f64 x)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3)
(pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 2))
(log.f64 (pow.f64 x 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 (-.f64 (pow.f64 x x) 1))

simplify67.0ms (1.2%)

Algorithm
egg-herbie
Rules
1212×log-prod
726×distribute-rgt-in
718×distribute-lft-in
674×unsub-neg
580×fma-def
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042259
197259
2319259
31710259
45433259
Stop Event
node limit
Counts
23 → 17
Calls
Call 1
Inputs
(*.f64 (log.f64 x) x)
(*.f64 (log.f64 x) x)
(*.f64 (log.f64 x) x)
(*.f64 (log.f64 x) x)
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x))
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)
(-.f64 (+.f64 1 (*.f64 x (log.f64 x))) 1)
(pow.f64 (*.f64 x (log.f64 x)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3)
(pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 2))
(log.f64 (pow.f64 x 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 (-.f64 (pow.f64 x x) 1))
Outputs
(*.f64 (log.f64 x) x)
(*.f64 x (log.f64 x))
(*.f64 (log.f64 x) x)
(*.f64 x (log.f64 x))
(*.f64 (log.f64 x) x)
(*.f64 x (log.f64 x))
(*.f64 (log.f64 x) x)
(*.f64 x (log.f64 x))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x))
(*.f64 x (log.f64 x))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x))
(*.f64 x (log.f64 x))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x))
(*.f64 x (log.f64 x))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x))
(*.f64 x (log.f64 x))
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)
(*.f64 x (log.f64 x))
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)
(*.f64 x (log.f64 x))
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)
(*.f64 x (log.f64 x))
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)
(*.f64 x (log.f64 x))
(-.f64 (+.f64 1 (*.f64 x (log.f64 x))) 1)
(*.f64 x (log.f64 x))
(pow.f64 (*.f64 x (log.f64 x)) 1)
(*.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 (sqrt.f64 (*.f64 x (log.f64 x))) 2)
(*.f64 x (log.f64 x))
(sqrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 2))
(*.f64 x (log.f64 x))
(log.f64 (pow.f64 x 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))
(log1p.f64 (-.f64 (pow.f64 x x) 1))
(log1p.f64 (+.f64 (pow.f64 x x) -1))
(log1p.f64 (+.f64 -1 (pow.f64 x x)))

eval2.0ms (0%)

Compiler

Compiled 112 to 56 computations (50% saved)

prune7.0ms (0.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New12517
Fresh000
Picked011
Done000
Total12618
Accurracy
99.7%
Counts
18 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.1%
(pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 2)
97.8%
(pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3)
99.5%
(*.f64 x (log.f64 x))
99.5%
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x))
4.7%
(log.f64 (pow.f64 x x))
39.6%
(cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3))
Compiler

Compiled 81 to 59 computations (27.2% saved)

localize13.0ms (0.2%)

Local Accuracy

Found 2 expressions with local accuracy:

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

Compiled 25 to 18 computations (28% saved)

series11.0ms (0.2%)

Counts
2 → 16
Calls

6 calls:

TimeVariablePointExpression
7.0ms
x
@-inf
(*.f64 (log.f64 (/.f64 1 x)) x)
3.0ms
x
@0
(*.f64 (log.f64 (/.f64 1 x)) x)
0.0ms
x
@inf
(*.f64 (log.f64 (/.f64 1 x)) x)
0.0ms
x
@-inf
(log.f64 (/.f64 1 x))
0.0ms
x
@inf
(log.f64 (/.f64 1 x))

rewrite60.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
1358×pow1
1242×add-exp-log
1242×log1p-expm1-u
1242×expm1-log1p-u
1208×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0824
115424
2176724
Stop Event
node limit
Counts
2 → 38
Calls
Call 1
Inputs
(*.f64 (log.f64 (/.f64 1 x)) x)
(log.f64 (/.f64 1 x))
Outputs
(-.f64 (+.f64 1 (*.f64 x (neg.f64 (log.f64 x)))) 1)
(pow.f64 (*.f64 x (neg.f64 (log.f64 x))) 1)
(pow.f64 (cbrt.f64 (*.f64 x (neg.f64 (log.f64 x)))) 3)
(pow.f64 (pow.f64 (*.f64 x (neg.f64 (log.f64 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (neg.f64 (log.f64 x)))) 2)
(neg.f64 (*.f64 (log.f64 x) x))
(neg.f64 (*.f64 x (log.f64 x)))
(sqrt.f64 (pow.f64 (*.f64 x (neg.f64 (log.f64 x))) 2))
(log.f64 (pow.f64 (pow.f64 x -1) x))
(cbrt.f64 (pow.f64 (*.f64 x (neg.f64 (log.f64 x))) 3))
(expm1.f64 (log1p.f64 (*.f64 x (neg.f64 (log.f64 x)))))
(exp.f64 (log.f64 (*.f64 x (neg.f64 (log.f64 x)))))
(log1p.f64 (-.f64 (pow.f64 (pow.f64 x -1) x) 1))
(+.f64 0 (neg.f64 (log.f64 x)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 x -2))) (log.f64 (cbrt.f64 (pow.f64 x -1))))
(+.f64 (log.f64 (pow.f64 x -1/2)) (log.f64 (pow.f64 x -1/2)))
(-.f64 0 (log.f64 x))
(-.f64 (log.f64 -1) (log.f64 (neg.f64 x)))
(-.f64 (+.f64 1 (neg.f64 (log.f64 x))) 1)
(*.f64 1 (neg.f64 (log.f64 x)))
(*.f64 (neg.f64 (log.f64 x)) 1)
(*.f64 (log.f64 x) -1)
(*.f64 (cbrt.f64 (neg.f64 (log.f64 x))) (cbrt.f64 (*.f64 (log.f64 x) (log.f64 x))))
(*.f64 (cbrt.f64 (*.f64 (log.f64 x) (log.f64 x))) (cbrt.f64 (neg.f64 (log.f64 x))))
(*.f64 (sqrt.f64 (neg.f64 (log.f64 x))) (sqrt.f64 (neg.f64 (log.f64 x))))
(*.f64 -1 (log.f64 x))
(/.f64 (-.f64 0 (pow.f64 (log.f64 x) 3)) (+.f64 0 (+.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 0 (log.f64 x)))))
(/.f64 (-.f64 0 (*.f64 (log.f64 x) (log.f64 x))) (log.f64 x))
(pow.f64 (neg.f64 (log.f64 x)) 1)
(pow.f64 (cbrt.f64 (neg.f64 (log.f64 x))) 3)
(pow.f64 (pow.f64 (neg.f64 (log.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (neg.f64 (log.f64 x))) 2)
(neg.f64 (log.f64 x))
(sqrt.f64 (*.f64 (log.f64 x) (log.f64 x)))
(cbrt.f64 (pow.f64 (neg.f64 (log.f64 x)) 3))
(expm1.f64 (log1p.f64 (neg.f64 (log.f64 x))))
(exp.f64 (log.f64 (neg.f64 (log.f64 x))))
(log1p.f64 (-.f64 (pow.f64 x -1) 1))

simplify62.0ms (1.1%)

Algorithm
egg-herbie
Rules
972×log-prod
858×fma-def
780×unsub-neg
642×unswap-sqr
540×associate-/l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
094810
1218810
2897810
34886810
Stop Event
node limit
Counts
54 → 42
Calls
Call 1
Inputs
(*.f64 -1 (*.f64 x (log.f64 x)))
(*.f64 -1 (*.f64 x (log.f64 x)))
(*.f64 -1 (*.f64 x (log.f64 x)))
(*.f64 -1 (*.f64 x (log.f64 x)))
(*.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)) x)
(*.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)) x)
(*.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)) x)
(*.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)) x)
(*.f64 -1 (log.f64 x))
(*.f64 -1 (log.f64 x))
(*.f64 -1 (log.f64 x))
(*.f64 -1 (log.f64 x))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1))
(-.f64 (+.f64 1 (*.f64 x (neg.f64 (log.f64 x)))) 1)
(pow.f64 (*.f64 x (neg.f64 (log.f64 x))) 1)
(pow.f64 (cbrt.f64 (*.f64 x (neg.f64 (log.f64 x)))) 3)
(pow.f64 (pow.f64 (*.f64 x (neg.f64 (log.f64 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (neg.f64 (log.f64 x)))) 2)
(neg.f64 (*.f64 (log.f64 x) x))
(neg.f64 (*.f64 x (log.f64 x)))
(sqrt.f64 (pow.f64 (*.f64 x (neg.f64 (log.f64 x))) 2))
(log.f64 (pow.f64 (pow.f64 x -1) x))
(cbrt.f64 (pow.f64 (*.f64 x (neg.f64 (log.f64 x))) 3))
(expm1.f64 (log1p.f64 (*.f64 x (neg.f64 (log.f64 x)))))
(exp.f64 (log.f64 (*.f64 x (neg.f64 (log.f64 x)))))
(log1p.f64 (-.f64 (pow.f64 (pow.f64 x -1) x) 1))
(+.f64 0 (neg.f64 (log.f64 x)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 x -2))) (log.f64 (cbrt.f64 (pow.f64 x -1))))
(+.f64 (log.f64 (pow.f64 x -1/2)) (log.f64 (pow.f64 x -1/2)))
(-.f64 0 (log.f64 x))
(-.f64 (log.f64 -1) (log.f64 (neg.f64 x)))
(-.f64 (+.f64 1 (neg.f64 (log.f64 x))) 1)
(*.f64 1 (neg.f64 (log.f64 x)))
(*.f64 (neg.f64 (log.f64 x)) 1)
(*.f64 (log.f64 x) -1)
(*.f64 (cbrt.f64 (neg.f64 (log.f64 x))) (cbrt.f64 (*.f64 (log.f64 x) (log.f64 x))))
(*.f64 (cbrt.f64 (*.f64 (log.f64 x) (log.f64 x))) (cbrt.f64 (neg.f64 (log.f64 x))))
(*.f64 (sqrt.f64 (neg.f64 (log.f64 x))) (sqrt.f64 (neg.f64 (log.f64 x))))
(*.f64 -1 (log.f64 x))
(/.f64 (-.f64 0 (pow.f64 (log.f64 x) 3)) (+.f64 0 (+.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 0 (log.f64 x)))))
(/.f64 (-.f64 0 (*.f64 (log.f64 x) (log.f64 x))) (log.f64 x))
(pow.f64 (neg.f64 (log.f64 x)) 1)
(pow.f64 (cbrt.f64 (neg.f64 (log.f64 x))) 3)
(pow.f64 (pow.f64 (neg.f64 (log.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (neg.f64 (log.f64 x))) 2)
(neg.f64 (log.f64 x))
(sqrt.f64 (*.f64 (log.f64 x) (log.f64 x)))
(cbrt.f64 (pow.f64 (neg.f64 (log.f64 x)) 3))
(expm1.f64 (log1p.f64 (neg.f64 (log.f64 x))))
(exp.f64 (log.f64 (neg.f64 (log.f64 x))))
(log1p.f64 (-.f64 (pow.f64 x -1) 1))
Outputs
(*.f64 -1 (*.f64 x (log.f64 x)))
(*.f64 (log.f64 x) (neg.f64 x))
(*.f64 -1 (*.f64 x (log.f64 x)))
(*.f64 (log.f64 x) (neg.f64 x))
(*.f64 -1 (*.f64 x (log.f64 x)))
(*.f64 (log.f64 x) (neg.f64 x))
(*.f64 -1 (*.f64 x (log.f64 x)))
(*.f64 (log.f64 x) (neg.f64 x))
(*.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)) x)
(*.f64 (log.f64 x) (neg.f64 x))
(*.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)) x)
(*.f64 (log.f64 x) (neg.f64 x))
(*.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)) x)
(*.f64 (log.f64 x) (neg.f64 x))
(*.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)) x)
(*.f64 (log.f64 x) (neg.f64 x))
(*.f64 -1 (log.f64 x))
(*.f64 (log.f64 x) (neg.f64 x))
(*.f64 -1 (log.f64 x))
(*.f64 (log.f64 x) (neg.f64 x))
(*.f64 -1 (log.f64 x))
(*.f64 (log.f64 x) (neg.f64 x))
(*.f64 -1 (log.f64 x))
(*.f64 (log.f64 x) (neg.f64 x))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1))
(*.f64 (log.f64 x) (neg.f64 x))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1))
(*.f64 (log.f64 x) (neg.f64 x))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1))
(*.f64 (log.f64 x) (neg.f64 x))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1))
(*.f64 (log.f64 x) (neg.f64 x))
(-.f64 (+.f64 1 (*.f64 x (neg.f64 (log.f64 x)))) 1)
(*.f64 (log.f64 x) (neg.f64 x))
(pow.f64 (*.f64 x (neg.f64 (log.f64 x))) 1)
(*.f64 (log.f64 x) (neg.f64 x))
(pow.f64 (cbrt.f64 (*.f64 x (neg.f64 (log.f64 x)))) 3)
(*.f64 (log.f64 x) (neg.f64 x))
(pow.f64 (pow.f64 (*.f64 x (neg.f64 (log.f64 x))) 3) 1/3)
(*.f64 (log.f64 x) (neg.f64 x))
(pow.f64 (sqrt.f64 (*.f64 x (neg.f64 (log.f64 x)))) 2)
(*.f64 (log.f64 x) (neg.f64 x))
(neg.f64 (*.f64 (log.f64 x) x))
(*.f64 (log.f64 x) (neg.f64 x))
(neg.f64 (*.f64 x (log.f64 x)))
(*.f64 (log.f64 x) (neg.f64 x))
(sqrt.f64 (pow.f64 (*.f64 x (neg.f64 (log.f64 x))) 2))
(*.f64 (log.f64 x) (neg.f64 x))
(log.f64 (pow.f64 (pow.f64 x -1) x))
(*.f64 (log.f64 x) (neg.f64 x))
(cbrt.f64 (pow.f64 (*.f64 x (neg.f64 (log.f64 x))) 3))
(*.f64 (log.f64 x) (neg.f64 x))
(expm1.f64 (log1p.f64 (*.f64 x (neg.f64 (log.f64 x)))))
(*.f64 (log.f64 x) (neg.f64 x))
(exp.f64 (log.f64 (*.f64 x (neg.f64 (log.f64 x)))))
(*.f64 (log.f64 x) (neg.f64 x))
(log1p.f64 (-.f64 (pow.f64 (pow.f64 x -1) x) 1))
(*.f64 (log.f64 x) (neg.f64 x))
(+.f64 0 (neg.f64 (log.f64 x)))
(*.f64 (log.f64 x) (neg.f64 x))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 x -2))) (log.f64 (cbrt.f64 (pow.f64 x -1))))
(*.f64 (log.f64 x) (neg.f64 x))
(+.f64 (log.f64 (pow.f64 x -1/2)) (log.f64 (pow.f64 x -1/2)))
(*.f64 (log.f64 x) (neg.f64 x))
(-.f64 0 (log.f64 x))
(*.f64 (log.f64 x) (neg.f64 x))
(-.f64 (log.f64 -1) (log.f64 (neg.f64 x)))
(*.f64 (log.f64 x) (neg.f64 x))
(-.f64 (+.f64 1 (neg.f64 (log.f64 x))) 1)
(*.f64 (log.f64 x) (neg.f64 x))
(*.f64 1 (neg.f64 (log.f64 x)))
(*.f64 (log.f64 x) (neg.f64 x))
(*.f64 (neg.f64 (log.f64 x)) 1)
(*.f64 (log.f64 x) (neg.f64 x))
(*.f64 (log.f64 x) -1)
(*.f64 (log.f64 x) (neg.f64 x))
(*.f64 (cbrt.f64 (neg.f64 (log.f64 x))) (cbrt.f64 (*.f64 (log.f64 x) (log.f64 x))))
(*.f64 (log.f64 x) (neg.f64 x))
(*.f64 (cbrt.f64 (*.f64 (log.f64 x) (log.f64 x))) (cbrt.f64 (neg.f64 (log.f64 x))))
(*.f64 (log.f64 x) (neg.f64 x))
(*.f64 (sqrt.f64 (neg.f64 (log.f64 x))) (sqrt.f64 (neg.f64 (log.f64 x))))
(*.f64 (log.f64 x) (neg.f64 x))
(*.f64 -1 (log.f64 x))
(*.f64 (log.f64 x) (neg.f64 x))
(/.f64 (-.f64 0 (pow.f64 (log.f64 x) 3)) (+.f64 0 (+.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 0 (log.f64 x)))))
(*.f64 (log.f64 x) (neg.f64 x))
(/.f64 (-.f64 0 (*.f64 (log.f64 x) (log.f64 x))) (log.f64 x))
(*.f64 (log.f64 x) (neg.f64 x))
(pow.f64 (neg.f64 (log.f64 x)) 1)
(*.f64 (log.f64 x) (neg.f64 x))
(pow.f64 (cbrt.f64 (neg.f64 (log.f64 x))) 3)
(*.f64 (log.f64 x) (neg.f64 x))
(pow.f64 (pow.f64 (neg.f64 (log.f64 x)) 3) 1/3)
(*.f64 (log.f64 x) (neg.f64 x))
(pow.f64 (sqrt.f64 (neg.f64 (log.f64 x))) 2)
(*.f64 (log.f64 x) (neg.f64 x))
(neg.f64 (log.f64 x))
(*.f64 (log.f64 x) (neg.f64 x))
(sqrt.f64 (*.f64 (log.f64 x) (log.f64 x)))
(*.f64 (log.f64 x) (neg.f64 x))
(cbrt.f64 (pow.f64 (neg.f64 (log.f64 x)) 3))
(*.f64 (log.f64 x) (neg.f64 x))
(expm1.f64 (log1p.f64 (neg.f64 (log.f64 x))))
(*.f64 (log.f64 x) (neg.f64 x))
(exp.f64 (log.f64 (neg.f64 (log.f64 x))))
(*.f64 (log.f64 x) (neg.f64 x))
(log1p.f64 (-.f64 (pow.f64 x -1) 1))
(*.f64 (log.f64 x) (neg.f64 x))

localize4.0ms (0.1%)

Local Accuracy

Found 1 expressions with local accuracy:

NewAccuracyProgram
94.9%
(log.f64 (pow.f64 x x))
Compiler

Compiled 9 to 3 computations (66.7% saved)

series53.0ms (1%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
38.0ms
x
@-inf
(log.f64 (pow.f64 x x))
13.0ms
x
@inf
(log.f64 (pow.f64 x x))
1.0ms
x
@0
(log.f64 (pow.f64 x x))

rewrite51.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
1106×pow1
1058×add-sqr-sqrt
1014×add-exp-log
1014×log1p-expm1-u
1014×expm1-log1p-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0611
111911
2141211
Stop Event
node limit
Counts
1 → 24
Calls
Call 1
Inputs
(log.f64 (pow.f64 x x))
Outputs
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 x x)) 2)) (log.f64 (cbrt.f64 (pow.f64 x x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 x x))) (log.f64 (sqrt.f64 (pow.f64 x x))))
(+.f64 0 (*.f64 x (log.f64 x)))
(-.f64 (+.f64 1 (*.f64 x (log.f64 x))) 1)
(*.f64 x (log.f64 x))
(*.f64 (*.f64 x (log.f64 x)) 1)
(*.f64 1 (*.f64 x (log.f64 x)))
(*.f64 (log.f64 x) 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) (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) (log.f64 x)))
(*.f64 (*.f64 (log.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (*.f64 (log.f64 x) (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (*.f64 x (log.f64 x)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3)
(pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 2))
(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 (-.f64 (pow.f64 x x) 1))

simplify66.0ms (1.2%)

Algorithm
egg-herbie
Rules
1742×fma-def
1124×fma-neg
878×log-prod
726×distribute-lft-out
682×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
097442
1238422
2923422
34612422
46834422
Stop Event
node limit
Counts
36 → 32
Calls
Call 1
Inputs
(*.f64 (log.f64 x) x)
(+.f64 (*.f64 (log.f64 x) x) (*.f64 1/2 (*.f64 (+.f64 (pow.f64 (log.f64 x) 2) (*.f64 -1 (pow.f64 (log.f64 x) 2))) (pow.f64 x 2))))
(+.f64 (*.f64 1/6 (*.f64 (+.f64 (*.f64 -3 (pow.f64 (log.f64 x) 3)) (+.f64 (pow.f64 (log.f64 x) 3) (*.f64 2 (pow.f64 (log.f64 x) 3)))) (pow.f64 x 3))) (+.f64 (*.f64 (log.f64 x) x) (*.f64 1/2 (*.f64 (+.f64 (pow.f64 (log.f64 x) 2) (*.f64 -1 (pow.f64 (log.f64 x) 2))) (pow.f64 x 2)))))
(+.f64 (*.f64 1/6 (*.f64 (+.f64 (*.f64 -3 (pow.f64 (log.f64 x) 3)) (+.f64 (pow.f64 (log.f64 x) 3) (*.f64 2 (pow.f64 (log.f64 x) 3)))) (pow.f64 x 3))) (+.f64 (*.f64 (log.f64 x) x) (+.f64 (*.f64 1/2 (*.f64 (+.f64 (pow.f64 (log.f64 x) 2) (*.f64 -1 (pow.f64 (log.f64 x) 2))) (pow.f64 x 2))) (*.f64 1/24 (*.f64 (+.f64 (*.f64 -6 (pow.f64 (log.f64 x) 4)) (+.f64 (*.f64 -3 (pow.f64 (log.f64 x) 4)) (+.f64 (*.f64 12 (pow.f64 (log.f64 x) 4)) (+.f64 (pow.f64 (log.f64 x) 4) (*.f64 -4 (pow.f64 (log.f64 x) 4)))))) (pow.f64 x 4))))))
(*.f64 x (log.f64 x))
(*.f64 x (log.f64 x))
(*.f64 x (log.f64 x))
(*.f64 x (log.f64 x))
(*.f64 (log.f64 x) x)
(*.f64 (log.f64 x) x)
(*.f64 (log.f64 x) x)
(*.f64 (log.f64 x) x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 x x)) 2)) (log.f64 (cbrt.f64 (pow.f64 x x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 x x))) (log.f64 (sqrt.f64 (pow.f64 x x))))
(+.f64 0 (*.f64 x (log.f64 x)))
(-.f64 (+.f64 1 (*.f64 x (log.f64 x))) 1)
(*.f64 x (log.f64 x))
(*.f64 (*.f64 x (log.f64 x)) 1)
(*.f64 1 (*.f64 x (log.f64 x)))
(*.f64 (log.f64 x) 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) (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) (log.f64 x)))
(*.f64 (*.f64 (log.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (*.f64 (log.f64 x) (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (*.f64 x (log.f64 x)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3)
(pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 2))
(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 (-.f64 (pow.f64 x x) 1))
Outputs
(*.f64 (log.f64 x) x)
(*.f64 x (log.f64 x))
(+.f64 (*.f64 (log.f64 x) x) (*.f64 1/2 (*.f64 (+.f64 (pow.f64 (log.f64 x) 2) (*.f64 -1 (pow.f64 (log.f64 x) 2))) (pow.f64 x 2))))
(*.f64 x (log.f64 x))
(+.f64 (*.f64 1/6 (*.f64 (+.f64 (*.f64 -3 (pow.f64 (log.f64 x) 3)) (+.f64 (pow.f64 (log.f64 x) 3) (*.f64 2 (pow.f64 (log.f64 x) 3)))) (pow.f64 x 3))) (+.f64 (*.f64 (log.f64 x) x) (*.f64 1/2 (*.f64 (+.f64 (pow.f64 (log.f64 x) 2) (*.f64 -1 (pow.f64 (log.f64 x) 2))) (pow.f64 x 2)))))
(*.f64 x (log.f64 x))
(+.f64 (*.f64 1/6 (*.f64 (+.f64 (*.f64 -3 (pow.f64 (log.f64 x) 3)) (+.f64 (pow.f64 (log.f64 x) 3) (*.f64 2 (pow.f64 (log.f64 x) 3)))) (pow.f64 x 3))) (+.f64 (*.f64 (log.f64 x) x) (+.f64 (*.f64 1/2 (*.f64 (+.f64 (pow.f64 (log.f64 x) 2) (*.f64 -1 (pow.f64 (log.f64 x) 2))) (pow.f64 x 2))) (*.f64 1/24 (*.f64 (+.f64 (*.f64 -6 (pow.f64 (log.f64 x) 4)) (+.f64 (*.f64 -3 (pow.f64 (log.f64 x) 4)) (+.f64 (*.f64 12 (pow.f64 (log.f64 x) 4)) (+.f64 (pow.f64 (log.f64 x) 4) (*.f64 -4 (pow.f64 (log.f64 x) 4)))))) (pow.f64 x 4))))))
(*.f64 x (log.f64 x))
(*.f64 x (log.f64 x))
(*.f64 x (log.f64 x))
(*.f64 x (log.f64 x))
(*.f64 x (log.f64 x))
(*.f64 (log.f64 x) x)
(*.f64 x (log.f64 x))
(*.f64 (log.f64 x) x)
(*.f64 x (log.f64 x))
(*.f64 (log.f64 x) x)
(*.f64 x (log.f64 x))
(*.f64 (log.f64 x) x)
(*.f64 x (log.f64 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 x x)) 2)) (log.f64 (cbrt.f64 (pow.f64 x x))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 x x)))) (log.f64 (cbrt.f64 (pow.f64 x x))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 x x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 x x))) (log.f64 (sqrt.f64 (pow.f64 x x))))
(*.f64 2 (log.f64 (sqrt.f64 (pow.f64 x x))))
(+.f64 0 (*.f64 x (log.f64 x)))
(*.f64 x (log.f64 x))
(-.f64 (+.f64 1 (*.f64 x (log.f64 x))) 1)
(*.f64 x (log.f64 x))
(*.f64 x (log.f64 x))
(*.f64 (*.f64 x (log.f64 x)) 1)
(*.f64 x (log.f64 x))
(*.f64 1 (*.f64 x (log.f64 x)))
(*.f64 x (log.f64 x))
(*.f64 (log.f64 x) 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 x (log.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) (cbrt.f64 (*.f64 x (log.f64 x))))
(*.f64 x (log.f64 x))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (log.f64 x)))
(*.f64 x (log.f64 x))
(*.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (sqrt.f64 (*.f64 x (log.f64 x))))
(*.f64 x (log.f64 x))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (log.f64 x)))
(*.f64 x (log.f64 x))
(*.f64 (*.f64 (log.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 x (log.f64 x))
(*.f64 (*.f64 (log.f64 x) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 x (log.f64 x))
(pow.f64 (*.f64 x (log.f64 x)) 1)
(*.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 (sqrt.f64 (*.f64 x (log.f64 x))) 2)
(*.f64 x (log.f64 x))
(sqrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 2))
(*.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))
(log1p.f64 (-.f64 (pow.f64 x x) 1))
(log1p.f64 (+.f64 (pow.f64 x x) -1))
(log1p.f64 (+.f64 -1 (pow.f64 x x)))

localize9.0ms (0.2%)

Local Accuracy

Found 3 expressions with local accuracy:

NewAccuracyProgram
99.5%
(pow.f64 (*.f64 x (log.f64 x)) 3)
99.5%
(*.f64 x (log.f64 x))
41.6%
(cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3))
Compiler

Compiled 22 to 9 computations (59.1% saved)

series4.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3))
1.0ms
x
@-inf
(pow.f64 (*.f64 x (log.f64 x)) 3)
1.0ms
x
@inf
(pow.f64 (*.f64 x (log.f64 x)) 3)
0.0ms
x
@0
(pow.f64 (*.f64 x (log.f64 x)) 3)
0.0ms
x
@0
(cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3))

rewrite84.0ms (1.5%)

Algorithm
batch-egg-rewrite
Rules
1410×pow1
1312×add-exp-log
1312×log1p-expm1-u
1312×expm1-log1p-u
1280×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0928
118328
2191928
Stop Event
node limit
Counts
2 → 54
Calls
Call 1
Inputs
(cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3))
(pow.f64 (*.f64 x (log.f64 x)) 3)
Outputs
(-.f64 (+.f64 1 (*.f64 x (log.f64 x))) 1)
(*.f64 x (log.f64 x))
(*.f64 (log.f64 x) x)
(*.f64 (*.f64 x (log.f64 x)) 1)
(*.f64 1 (*.f64 x (log.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (*.f64 (cbrt.f64 (log.f64 x)) x))
(*.f64 (cbrt.f64 (*.f64 x (log.f64 x))) (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2))
(*.f64 (cbrt.f64 (*.f64 x (log.f64 x))) (pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) 1/3))
(*.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) (log.f64 x)))
(*.f64 (sqrt.f64 (log.f64 x)) (*.f64 (sqrt.f64 (log.f64 x)) x))
(*.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (sqrt.f64 (*.f64 x (log.f64 x))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (log.f64 x)))
(*.f64 (pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) 1/3) (cbrt.f64 (*.f64 x (log.f64 x))))
(*.f64 (pow.f64 1 1/3) (*.f64 x (log.f64 x)))
(*.f64 (pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 3/2) 1/3) (pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 3/2) 1/3))
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x)))
(*.f64 (*.f64 x (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)))
(*.f64 (*.f64 (log.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (*.f64 (log.f64 x) (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (*.f64 x (log.f64 x)) 1)
(pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3)
(pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 2))
(log.f64 (pow.f64 x x))
(expm1.f64 (log1p.f64 (*.f64 x (log.f64 x))))
(exp.f64 (log.f64 (*.f64 x (log.f64 x))))
(log1p.f64 (-.f64 (pow.f64 x x) 1))
(-.f64 (+.f64 1 (pow.f64 (*.f64 x (log.f64 x)) 3)) 1)
(*.f64 x (*.f64 (log.f64 x) (pow.f64 (*.f64 x (log.f64 x)) 2)))
(*.f64 (log.f64 x) (*.f64 x (pow.f64 (*.f64 x (log.f64 x)) 2)))
(*.f64 (*.f64 x (log.f64 x)) (pow.f64 (*.f64 x (log.f64 x)) 2))
(*.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) 1)
(*.f64 1 (pow.f64 (*.f64 x (log.f64 x)) 3))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) (*.f64 (cbrt.f64 (*.f64 x (log.f64 x))) (pow.f64 (*.f64 x (log.f64 x)) 2)))
(*.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) (*.f64 x (log.f64 x)))
(*.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (*.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (pow.f64 (*.f64 x (log.f64 x)) 2)))
(*.f64 (pow.f64 x 3) (pow.f64 (log.f64 x) 3))
(*.f64 (pow.f64 (log.f64 x) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (*.f64 x (log.f64 x)) 3/2) (pow.f64 (*.f64 x (log.f64 x)) 3/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) 3) (*.f64 x (log.f64 x)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 3) (pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 3))
(*.f64 (*.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) x) (log.f64 x))
(*.f64 (*.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) (log.f64 x)) x)
(*.f64 (*.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) 1) (*.f64 x (log.f64 x)))
(*.f64 (*.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2)) (cbrt.f64 (*.f64 x (log.f64 x))))
(*.f64 (*.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) (sqrt.f64 (*.f64 x (log.f64 x)))) (sqrt.f64 (*.f64 x (log.f64 x))))
(sqrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 6))
(log.f64 (exp.f64 (pow.f64 (*.f64 x (log.f64 x)) 3)))
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 x (log.f64 x)) 3)))
(exp.f64 (*.f64 3 (log.f64 (*.f64 x (log.f64 x)))))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 x (log.f64 x)) 3)))

simplify111.0ms (2%)

Algorithm
egg-herbie
Rules
1314×unswap-sqr
1072×exp-prod
1040×cube-prod
734×fma-neg
606×log-prod
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01321310
13021294
210941294
350141294
Stop Event
node limit
Counts
78 → 66
Calls
Call 1
Inputs
(*.f64 (log.f64 x) x)
(*.f64 (log.f64 x) x)
(*.f64 (log.f64 x) x)
(*.f64 (log.f64 x) x)
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x))
(*.f64 -1 (*.f64 (cbrt.f64 -1) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)))
(*.f64 -1 (*.f64 (cbrt.f64 -1) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)))
(*.f64 -1 (*.f64 (cbrt.f64 -1) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)))
(*.f64 -1 (*.f64 (cbrt.f64 -1) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)))
(*.f64 (pow.f64 (log.f64 x) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (log.f64 x) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (log.f64 x) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (log.f64 x) 3) (pow.f64 x 3))
(*.f64 -1 (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 3) (pow.f64 x 3)))
(*.f64 -1 (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 3) (pow.f64 x 3)))
(*.f64 -1 (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 3) (pow.f64 x 3)))
(*.f64 -1 (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 3) (pow.f64 x 3)))
(*.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 3) (pow.f64 x 3))
(-.f64 (+.f64 1 (*.f64 x (log.f64 x))) 1)
(*.f64 x (log.f64 x))
(*.f64 (log.f64 x) x)
(*.f64 (*.f64 x (log.f64 x)) 1)
(*.f64 1 (*.f64 x (log.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (*.f64 (cbrt.f64 (log.f64 x)) x))
(*.f64 (cbrt.f64 (*.f64 x (log.f64 x))) (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2))
(*.f64 (cbrt.f64 (*.f64 x (log.f64 x))) (pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) 1/3))
(*.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) (log.f64 x)))
(*.f64 (sqrt.f64 (log.f64 x)) (*.f64 (sqrt.f64 (log.f64 x)) x))
(*.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (sqrt.f64 (*.f64 x (log.f64 x))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (log.f64 x)))
(*.f64 (pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) 1/3) (cbrt.f64 (*.f64 x (log.f64 x))))
(*.f64 (pow.f64 1 1/3) (*.f64 x (log.f64 x)))
(*.f64 (pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 3/2) 1/3) (pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 3/2) 1/3))
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x)))
(*.f64 (*.f64 x (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)))
(*.f64 (*.f64 (log.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (*.f64 (log.f64 x) (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (*.f64 x (log.f64 x)) 1)
(pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3)
(pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 2))
(log.f64 (pow.f64 x x))
(expm1.f64 (log1p.f64 (*.f64 x (log.f64 x))))
(exp.f64 (log.f64 (*.f64 x (log.f64 x))))
(log1p.f64 (-.f64 (pow.f64 x x) 1))
(-.f64 (+.f64 1 (pow.f64 (*.f64 x (log.f64 x)) 3)) 1)
(*.f64 x (*.f64 (log.f64 x) (pow.f64 (*.f64 x (log.f64 x)) 2)))
(*.f64 (log.f64 x) (*.f64 x (pow.f64 (*.f64 x (log.f64 x)) 2)))
(*.f64 (*.f64 x (log.f64 x)) (pow.f64 (*.f64 x (log.f64 x)) 2))
(*.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) 1)
(*.f64 1 (pow.f64 (*.f64 x (log.f64 x)) 3))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) (*.f64 (cbrt.f64 (*.f64 x (log.f64 x))) (pow.f64 (*.f64 x (log.f64 x)) 2)))
(*.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) (*.f64 x (log.f64 x)))
(*.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (*.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (pow.f64 (*.f64 x (log.f64 x)) 2)))
(*.f64 (pow.f64 x 3) (pow.f64 (log.f64 x) 3))
(*.f64 (pow.f64 (log.f64 x) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (*.f64 x (log.f64 x)) 3/2) (pow.f64 (*.f64 x (log.f64 x)) 3/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) 3) (*.f64 x (log.f64 x)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 3) (pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 3))
(*.f64 (*.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) x) (log.f64 x))
(*.f64 (*.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) (log.f64 x)) x)
(*.f64 (*.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) 1) (*.f64 x (log.f64 x)))
(*.f64 (*.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2)) (cbrt.f64 (*.f64 x (log.f64 x))))
(*.f64 (*.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) (sqrt.f64 (*.f64 x (log.f64 x)))) (sqrt.f64 (*.f64 x (log.f64 x))))
(sqrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 6))
(log.f64 (exp.f64 (pow.f64 (*.f64 x (log.f64 x)) 3)))
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 x (log.f64 x)) 3)))
(exp.f64 (*.f64 3 (log.f64 (*.f64 x (log.f64 x)))))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 x (log.f64 x)) 3)))
Outputs
(*.f64 (log.f64 x) x)
(*.f64 x (log.f64 x))
(*.f64 (log.f64 x) x)
(*.f64 x (log.f64 x))
(*.f64 (log.f64 x) x)
(*.f64 x (log.f64 x))
(*.f64 (log.f64 x) x)
(*.f64 x (log.f64 x))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x))
(*.f64 x (log.f64 x))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x))
(*.f64 x (log.f64 x))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x))
(*.f64 x (log.f64 x))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x))
(*.f64 x (log.f64 x))
(*.f64 -1 (*.f64 (cbrt.f64 -1) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)))
(neg.f64 (*.f64 (cbrt.f64 -1) (*.f64 x (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))))
(*.f64 (*.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (neg.f64 (cbrt.f64 -1)))
(*.f64 x (*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (neg.f64 (cbrt.f64 -1))))
(*.f64 -1 (*.f64 (cbrt.f64 -1) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)))
(neg.f64 (*.f64 (cbrt.f64 -1) (*.f64 x (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))))
(*.f64 (*.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (neg.f64 (cbrt.f64 -1)))
(*.f64 x (*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (neg.f64 (cbrt.f64 -1))))
(*.f64 -1 (*.f64 (cbrt.f64 -1) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)))
(neg.f64 (*.f64 (cbrt.f64 -1) (*.f64 x (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))))
(*.f64 (*.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (neg.f64 (cbrt.f64 -1)))
(*.f64 x (*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (neg.f64 (cbrt.f64 -1))))
(*.f64 -1 (*.f64 (cbrt.f64 -1) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)))
(neg.f64 (*.f64 (cbrt.f64 -1) (*.f64 x (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))))
(*.f64 (*.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (neg.f64 (cbrt.f64 -1)))
(*.f64 x (*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (neg.f64 (cbrt.f64 -1))))
(*.f64 (pow.f64 (log.f64 x) 3) (pow.f64 x 3))
(pow.f64 (*.f64 x (log.f64 x)) 3)
(*.f64 (pow.f64 (log.f64 x) 3) (pow.f64 x 3))
(pow.f64 (*.f64 x (log.f64 x)) 3)
(*.f64 (pow.f64 (log.f64 x) 3) (pow.f64 x 3))
(pow.f64 (*.f64 x (log.f64 x)) 3)
(*.f64 (pow.f64 (log.f64 x) 3) (pow.f64 x 3))
(pow.f64 (*.f64 x (log.f64 x)) 3)
(*.f64 -1 (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 3) (pow.f64 x 3)))
(pow.f64 (*.f64 x (log.f64 x)) 3)
(*.f64 -1 (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 3) (pow.f64 x 3)))
(pow.f64 (*.f64 x (log.f64 x)) 3)
(*.f64 -1 (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 3) (pow.f64 x 3)))
(pow.f64 (*.f64 x (log.f64 x)) 3)
(*.f64 -1 (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 3) (pow.f64 x 3)))
(pow.f64 (*.f64 x (log.f64 x)) 3)
(*.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 3) (pow.f64 x 3))
(*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 3))
(*.f64 (pow.f64 x 3) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3))
(*.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 3) (pow.f64 x 3))
(*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 3))
(*.f64 (pow.f64 x 3) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3))
(*.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 3) (pow.f64 x 3))
(*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 3))
(*.f64 (pow.f64 x 3) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3))
(*.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 3) (pow.f64 x 3))
(*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 3))
(*.f64 (pow.f64 x 3) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3))
(-.f64 (+.f64 1 (*.f64 x (log.f64 x))) 1)
(*.f64 x (log.f64 x))
(*.f64 x (log.f64 x))
(*.f64 (log.f64 x) x)
(*.f64 x (log.f64 x))
(*.f64 (*.f64 x (log.f64 x)) 1)
(*.f64 x (log.f64 x))
(*.f64 1 (*.f64 x (log.f64 x)))
(*.f64 x (log.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (*.f64 (cbrt.f64 (log.f64 x)) 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 x (log.f64 x))
(*.f64 (cbrt.f64 (*.f64 x (log.f64 x))) (pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) 1/3))
(*.f64 x (log.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) (cbrt.f64 (*.f64 x (log.f64 x))))
(*.f64 x (log.f64 x))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (log.f64 x)))
(*.f64 x (log.f64 x))
(*.f64 (sqrt.f64 (log.f64 x)) (*.f64 (sqrt.f64 (log.f64 x)) x))
(*.f64 x (log.f64 x))
(*.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (sqrt.f64 (*.f64 x (log.f64 x))))
(*.f64 x (log.f64 x))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (log.f64 x)))
(*.f64 x (log.f64 x))
(*.f64 (pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) 1/3) (cbrt.f64 (*.f64 x (log.f64 x))))
(*.f64 x (log.f64 x))
(*.f64 (pow.f64 1 1/3) (*.f64 x (log.f64 x)))
(*.f64 x (log.f64 x))
(*.f64 (pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 3/2) 1/3) (pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 3/2) 1/3))
(*.f64 x (log.f64 x))
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x)))
(*.f64 x (log.f64 x))
(*.f64 (*.f64 x (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)))
(*.f64 x (log.f64 x))
(*.f64 (*.f64 (log.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 x (log.f64 x))
(*.f64 (*.f64 (log.f64 x) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 x (log.f64 x))
(pow.f64 (*.f64 x (log.f64 x)) 1)
(*.f64 x (log.f64 x))
(pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) 1/3)
(*.f64 x (log.f64 x))
(pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3)
(*.f64 x (log.f64 x))
(pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 2)
(*.f64 x (log.f64 x))
(sqrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 2))
(*.f64 x (log.f64 x))
(log.f64 (pow.f64 x x))
(*.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))
(log1p.f64 (-.f64 (pow.f64 x x) 1))
(log1p.f64 (+.f64 (pow.f64 x x) -1))
(log1p.f64 (+.f64 -1 (pow.f64 x x)))
(-.f64 (+.f64 1 (pow.f64 (*.f64 x (log.f64 x)) 3)) 1)
(pow.f64 (*.f64 x (log.f64 x)) 3)
(*.f64 x (*.f64 (log.f64 x) (pow.f64 (*.f64 x (log.f64 x)) 2)))
(pow.f64 (*.f64 x (log.f64 x)) 3)
(*.f64 (log.f64 x) (*.f64 x (pow.f64 (*.f64 x (log.f64 x)) 2)))
(pow.f64 (*.f64 x (log.f64 x)) 3)
(*.f64 (*.f64 x (log.f64 x)) (pow.f64 (*.f64 x (log.f64 x)) 2))
(pow.f64 (*.f64 x (log.f64 x)) 3)
(*.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) 1)
(pow.f64 (*.f64 x (log.f64 x)) 3)
(*.f64 1 (pow.f64 (*.f64 x (log.f64 x)) 3))
(pow.f64 (*.f64 x (log.f64 x)) 3)
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) (*.f64 (cbrt.f64 (*.f64 x (log.f64 x))) (pow.f64 (*.f64 x (log.f64 x)) 2)))
(pow.f64 (*.f64 x (log.f64 x)) 3)
(*.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) (*.f64 x (log.f64 x)))
(pow.f64 (*.f64 x (log.f64 x)) 3)
(*.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (*.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (pow.f64 (*.f64 x (log.f64 x)) 2)))
(pow.f64 (*.f64 x (log.f64 x)) 3)
(*.f64 (pow.f64 x 3) (pow.f64 (log.f64 x) 3))
(pow.f64 (*.f64 x (log.f64 x)) 3)
(*.f64 (pow.f64 (log.f64 x) 3) (pow.f64 x 3))
(pow.f64 (*.f64 x (log.f64 x)) 3)
(*.f64 (pow.f64 (*.f64 x (log.f64 x)) 3/2) (pow.f64 (*.f64 x (log.f64 x)) 3/2))
(pow.f64 (*.f64 x (log.f64 x)) 3)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) 3) (*.f64 x (log.f64 x)))
(pow.f64 (*.f64 x (log.f64 x)) 3)
(*.f64 (pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 3) (pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 3))
(pow.f64 (*.f64 x (log.f64 x)) 3)
(*.f64 (*.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) x) (log.f64 x))
(pow.f64 (*.f64 x (log.f64 x)) 3)
(*.f64 (*.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) (log.f64 x)) x)
(pow.f64 (*.f64 x (log.f64 x)) 3)
(*.f64 (*.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) 1) (*.f64 x (log.f64 x)))
(pow.f64 (*.f64 x (log.f64 x)) 3)
(*.f64 (*.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2)) (cbrt.f64 (*.f64 x (log.f64 x))))
(pow.f64 (*.f64 x (log.f64 x)) 3)
(*.f64 (*.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) (sqrt.f64 (*.f64 x (log.f64 x)))) (sqrt.f64 (*.f64 x (log.f64 x))))
(pow.f64 (*.f64 x (log.f64 x)) 3)
(sqrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 6))
(pow.f64 (*.f64 x (log.f64 x)) 3)
(log.f64 (exp.f64 (pow.f64 (*.f64 x (log.f64 x)) 3)))
(pow.f64 (*.f64 x (log.f64 x)) 3)
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) 3))
(pow.f64 (*.f64 x (log.f64 x)) 3)
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 x (log.f64 x)) 3)))
(pow.f64 (*.f64 x (log.f64 x)) 3)
(exp.f64 (*.f64 3 (log.f64 (*.f64 x (log.f64 x)))))
(pow.f64 (*.f64 x (log.f64 x)) 3)
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 x (log.f64 x)) 3)))
(pow.f64 (*.f64 x (log.f64 x)) 3)

localize9.0ms (0.2%)

Local Accuracy

Found 3 expressions with local accuracy:

NewAccuracyProgram
99.5%
(*.f64 x (log.f64 x))
99.0%
(cbrt.f64 (*.f64 x (log.f64 x)))
98.9%
(pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3)
Compiler

Compiled 21 to 7 computations (66.7% saved)

series3.0ms (0.1%)

Counts
2 → 0
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3)
1.0ms
x
@0
(pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3)
1.0ms
x
@inf
(pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3)
1.0ms
x
@-inf
(cbrt.f64 (*.f64 x (log.f64 x)))
0.0ms
x
@inf
(cbrt.f64 (*.f64 x (log.f64 x)))

rewrite84.0ms (1.5%)

Algorithm
batch-egg-rewrite
Rules
1396×pow1
1298×add-exp-log
1298×log1p-expm1-u
1298×expm1-log1p-u
1266×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0926
118126
2185726
Stop Event
node limit
Counts
2 → 52
Calls
Call 1
Inputs
(pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3)
(cbrt.f64 (*.f64 x (log.f64 x)))
Outputs
(-.f64 (+.f64 1 (*.f64 x (log.f64 x))) 1)
(*.f64 x (log.f64 x))
(*.f64 (log.f64 x) x)
(*.f64 (*.f64 x (log.f64 x)) 1)
(*.f64 (cbrt.f64 (*.f64 x (log.f64 x))) (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2))
(*.f64 1 (*.f64 x (log.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (*.f64 (cbrt.f64 (log.f64 x)) x))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) (cbrt.f64 (*.f64 x (log.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2)))
(*.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2)))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (log.f64 x)))
(*.f64 (sqrt.f64 (log.f64 x)) (*.f64 (sqrt.f64 (log.f64 x)) x))
(*.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (sqrt.f64 (*.f64 x (log.f64 x))))
(*.f64 (pow.f64 (*.f64 x (log.f64 x)) 1/6) (*.f64 (pow.f64 (*.f64 x (log.f64 x)) 1/6) (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (log.f64 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) 2) 3) (cbrt.f64 (*.f64 x (log.f64 x))))
(*.f64 (pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 1/6) 3) (pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 1/6) 3))
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x)))
(*.f64 (*.f64 x (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)))
(*.f64 (*.f64 (log.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (*.f64 (log.f64 x) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) 1) (cbrt.f64 (*.f64 x (log.f64 x))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) (cbrt.f64 x)) (cbrt.f64 (log.f64 x)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) (pow.f64 (*.f64 x (log.f64 x)) 1/6)) (pow.f64 (*.f64 x (log.f64 x)) 1/6))
(sqrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 2))
(log.f64 (pow.f64 x 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 (-.f64 (pow.f64 x x) 1))
(-.f64 (+.f64 1 (cbrt.f64 (*.f64 x (log.f64 x)))) 1)
(*.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 1)
(*.f64 1 (cbrt.f64 (*.f64 x (log.f64 x))))
(*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 x))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) 2))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) 2) (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))))
(*.f64 (cbrt.f64 x) (cbrt.f64 (log.f64 x)))
(*.f64 (pow.f64 (*.f64 x (log.f64 x)) 1/6) (pow.f64 (*.f64 x (log.f64 x)) 1/6))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 x (log.f64 x))))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 1/3) (pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 1/3))
(pow.f64 (*.f64 x (log.f64 x)) 1/3)
(pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 1)
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) 3)
(pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 1/6) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 x (log.f64 x)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 x (log.f64 x)))))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 x (log.f64 x)))))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 x (log.f64 x)))))

simplify69.0ms (1.2%)

Algorithm
egg-herbie
Rules
1708×fma-def
1234×distribute-rgt-in
1184×unswap-sqr
1180×distribute-lft-in
1026×log-prod
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01061318
12281042
2672766
33030750
Stop Event
node limit
Counts
52 → 62
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (*.f64 x (log.f64 x))) 1)
(*.f64 x (log.f64 x))
(*.f64 (log.f64 x) x)
(*.f64 (*.f64 x (log.f64 x)) 1)
(*.f64 (cbrt.f64 (*.f64 x (log.f64 x))) (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2))
(*.f64 1 (*.f64 x (log.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (*.f64 (cbrt.f64 (log.f64 x)) x))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) (cbrt.f64 (*.f64 x (log.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2)))
(*.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2)))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (log.f64 x)))
(*.f64 (sqrt.f64 (log.f64 x)) (*.f64 (sqrt.f64 (log.f64 x)) x))
(*.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (sqrt.f64 (*.f64 x (log.f64 x))))
(*.f64 (pow.f64 (*.f64 x (log.f64 x)) 1/6) (*.f64 (pow.f64 (*.f64 x (log.f64 x)) 1/6) (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (log.f64 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) 2) 3) (cbrt.f64 (*.f64 x (log.f64 x))))
(*.f64 (pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 1/6) 3) (pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 1/6) 3))
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x)))
(*.f64 (*.f64 x (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)))
(*.f64 (*.f64 (log.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (*.f64 (log.f64 x) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) 1) (cbrt.f64 (*.f64 x (log.f64 x))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) (cbrt.f64 x)) (cbrt.f64 (log.f64 x)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) (pow.f64 (*.f64 x (log.f64 x)) 1/6)) (pow.f64 (*.f64 x (log.f64 x)) 1/6))
(sqrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 2))
(log.f64 (pow.f64 x 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 (-.f64 (pow.f64 x x) 1))
(-.f64 (+.f64 1 (cbrt.f64 (*.f64 x (log.f64 x)))) 1)
(*.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 1)
(*.f64 1 (cbrt.f64 (*.f64 x (log.f64 x))))
(*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 x))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) 2))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) 2) (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))))
(*.f64 (cbrt.f64 x) (cbrt.f64 (log.f64 x)))
(*.f64 (pow.f64 (*.f64 x (log.f64 x)) 1/6) (pow.f64 (*.f64 x (log.f64 x)) 1/6))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 x (log.f64 x))))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 1/3) (pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 1/3))
(pow.f64 (*.f64 x (log.f64 x)) 1/3)
(pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 1)
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) 3)
(pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 1/6) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 x (log.f64 x)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 x (log.f64 x)))))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 x (log.f64 x)))))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 x (log.f64 x)))))
Outputs
(-.f64 (+.f64 1 (*.f64 x (log.f64 x))) 1)
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1))
(+.f64 (*.f64 x (log.f64 x)) 0)
(*.f64 x (log.f64 x))
(*.f64 x (log.f64 x))
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1))
(+.f64 (*.f64 x (log.f64 x)) 0)
(*.f64 (log.f64 x) x)
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1))
(+.f64 (*.f64 x (log.f64 x)) 0)
(*.f64 x (log.f64 x))
(*.f64 (*.f64 x (log.f64 x)) 1)
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1))
(+.f64 (*.f64 x (log.f64 x)) 0)
(*.f64 x (log.f64 x))
(*.f64 (cbrt.f64 (*.f64 x (log.f64 x))) (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2))
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1))
(+.f64 (*.f64 x (log.f64 x)) 0)
(*.f64 x (log.f64 x))
(*.f64 1 (*.f64 x (log.f64 x)))
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1))
(+.f64 (*.f64 x (log.f64 x)) 0)
(*.f64 x (log.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (*.f64 (cbrt.f64 (log.f64 x)) x))
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1))
(+.f64 (*.f64 x (log.f64 x)) 0)
(*.f64 x (log.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) (cbrt.f64 (*.f64 x (log.f64 x))))
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1))
(+.f64 (*.f64 x (log.f64 x)) 0)
(*.f64 x (log.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2)))
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1))
(+.f64 (*.f64 x (log.f64 x)) 0)
(*.f64 x (log.f64 x))
(*.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2)))
(*.f64 (*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 x)) (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) (*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (log.f64 x)))
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1))
(+.f64 (*.f64 x (log.f64 x)) 0)
(*.f64 x (log.f64 x))
(*.f64 (sqrt.f64 (log.f64 x)) (*.f64 (sqrt.f64 (log.f64 x)) x))
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1))
(+.f64 (*.f64 x (log.f64 x)) 0)
(*.f64 x (log.f64 x))
(*.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (sqrt.f64 (*.f64 x (log.f64 x))))
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1))
(+.f64 (*.f64 x (log.f64 x)) 0)
(*.f64 x (log.f64 x))
(*.f64 (pow.f64 (*.f64 x (log.f64 x)) 1/6) (*.f64 (pow.f64 (*.f64 x (log.f64 x)) 1/6) (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2)))
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1))
(+.f64 (*.f64 x (log.f64 x)) 0)
(*.f64 x (log.f64 x))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (log.f64 x)))
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1))
(+.f64 (*.f64 x (log.f64 x)) 0)
(*.f64 x (log.f64 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) 2) 3) (cbrt.f64 (*.f64 x (log.f64 x))))
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1))
(+.f64 (*.f64 x (log.f64 x)) 0)
(*.f64 x (log.f64 x))
(*.f64 (pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 1/6) 3) (pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 1/6) 3))
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1))
(+.f64 (*.f64 x (log.f64 x)) 0)
(*.f64 x (log.f64 x))
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x)))
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1))
(+.f64 (*.f64 x (log.f64 x)) 0)
(*.f64 x (log.f64 x))
(*.f64 (*.f64 x (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)))
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1))
(+.f64 (*.f64 x (log.f64 x)) 0)
(*.f64 x (log.f64 x))
(*.f64 (*.f64 (log.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1))
(+.f64 (*.f64 x (log.f64 x)) 0)
(*.f64 x (log.f64 x))
(*.f64 (*.f64 (log.f64 x) (sqrt.f64 x)) (sqrt.f64 x))
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1))
(+.f64 (*.f64 x (log.f64 x)) 0)
(*.f64 x (log.f64 x))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) 1) (cbrt.f64 (*.f64 x (log.f64 x))))
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1))
(+.f64 (*.f64 x (log.f64 x)) 0)
(*.f64 x (log.f64 x))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))))
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1))
(+.f64 (*.f64 x (log.f64 x)) 0)
(*.f64 x (log.f64 x))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) (cbrt.f64 x)) (cbrt.f64 (log.f64 x)))
(*.f64 (*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 x)) (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) (*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 x)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) (pow.f64 (*.f64 x (log.f64 x)) 1/6)) (pow.f64 (*.f64 x (log.f64 x)) 1/6))
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1))
(+.f64 (*.f64 x (log.f64 x)) 0)
(*.f64 x (log.f64 x))
(sqrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 2))
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1))
(+.f64 (*.f64 x (log.f64 x)) 0)
(*.f64 x (log.f64 x))
(log.f64 (pow.f64 x x))
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1))
(+.f64 (*.f64 x (log.f64 x)) 0)
(*.f64 x (log.f64 x))
(cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3))
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1))
(+.f64 (*.f64 x (log.f64 x)) 0)
(*.f64 x (log.f64 x))
(expm1.f64 (log1p.f64 (*.f64 x (log.f64 x))))
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1))
(+.f64 (*.f64 x (log.f64 x)) 0)
(*.f64 x (log.f64 x))
(exp.f64 (log.f64 (*.f64 x (log.f64 x))))
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1))
(+.f64 (*.f64 x (log.f64 x)) 0)
(*.f64 x (log.f64 x))
(log1p.f64 (-.f64 (pow.f64 x x) 1))
(log1p.f64 (+.f64 (pow.f64 x x) -1))
(-.f64 (+.f64 1 (cbrt.f64 (*.f64 x (log.f64 x)))) 1)
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 1))
(+.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 0)
(cbrt.f64 (*.f64 x (log.f64 x)))
(*.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 1)
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 1))
(+.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 0)
(cbrt.f64 (*.f64 x (log.f64 x)))
(*.f64 1 (cbrt.f64 (*.f64 x (log.f64 x))))
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 1))
(+.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 0)
(cbrt.f64 (*.f64 x (log.f64 x)))
(*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 x))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) 2))
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 1))
(+.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 0)
(cbrt.f64 (*.f64 x (log.f64 x)))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) 1/3))
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 1))
(+.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 0)
(cbrt.f64 (*.f64 x (log.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) 2) (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))))
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 1))
(+.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 0)
(cbrt.f64 (*.f64 x (log.f64 x)))
(*.f64 (cbrt.f64 x) (cbrt.f64 (log.f64 x)))
(*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 x))
(*.f64 (pow.f64 (*.f64 x (log.f64 x)) 1/6) (pow.f64 (*.f64 x (log.f64 x)) 1/6))
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 1))
(+.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 0)
(cbrt.f64 (*.f64 x (log.f64 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))))
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 1))
(+.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 0)
(cbrt.f64 (*.f64 x (log.f64 x)))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 x (log.f64 x))))
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 1))
(+.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 0)
(cbrt.f64 (*.f64 x (log.f64 x)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 1/3) (pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (log.f64 x)))) (cbrt.f64 (sqrt.f64 (*.f64 x (log.f64 x)))))
(pow.f64 (pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 1/6) 4)
(pow.f64 (*.f64 x (log.f64 x)) 1/3)
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 1))
(+.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 0)
(cbrt.f64 (*.f64 x (log.f64 x)))
(pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 1)
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 1))
(+.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 0)
(cbrt.f64 (*.f64 x (log.f64 x)))
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) 3)
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 1))
(+.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 0)
(cbrt.f64 (*.f64 x (log.f64 x)))
(pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 1/6) 2)
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 1))
(+.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 0)
(cbrt.f64 (*.f64 x (log.f64 x)))
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2))
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 1))
(+.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 0)
(cbrt.f64 (*.f64 x (log.f64 x)))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 x (log.f64 x)))))
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 1))
(+.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 0)
(cbrt.f64 (*.f64 x (log.f64 x)))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 x (log.f64 x)))))
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 1))
(+.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 0)
(cbrt.f64 (*.f64 x (log.f64 x)))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 x (log.f64 x)))))
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 1))
(+.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 0)
(cbrt.f64 (*.f64 x (log.f64 x)))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 x (log.f64 x)))))
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 1))
(+.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 0)
(cbrt.f64 (*.f64 x (log.f64 x)))

localize8.0ms (0.1%)

Local Accuracy

Found 3 expressions with local accuracy:

NewAccuracyProgram
99.9%
(sqrt.f64 (*.f64 x (log.f64 x)))
99.6%
(pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 2)
99.5%
(*.f64 x (log.f64 x))
Compiler

Compiled 21 to 7 computations (66.7% saved)

series5.0ms (0.1%)

Counts
2 → 0
Calls

6 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 2)
1.0ms
x
@0
(pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 2)
1.0ms
x
@inf
(pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 2)
1.0ms
x
@-inf
(sqrt.f64 (*.f64 x (log.f64 x)))
0.0ms
x
@inf
(sqrt.f64 (*.f64 x (log.f64 x)))

rewrite69.0ms (1.3%)

Algorithm
batch-egg-rewrite
Rules
1346×pow1
1236×add-exp-log
1236×log1p-expm1-u
1236×expm1-log1p-u
1204×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0926
117926
2177226
Stop Event
node limit
Counts
2 → 50
Calls
Call 1
Inputs
(pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 2)
(sqrt.f64 (*.f64 x (log.f64 x)))
Outputs
(-.f64 (+.f64 1 (*.f64 x (log.f64 x))) 1)
(*.f64 x (log.f64 x))
(*.f64 (log.f64 x) x)
(*.f64 (*.f64 x (log.f64 x)) 1)
(*.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (sqrt.f64 (*.f64 x (log.f64 x))))
(*.f64 1 (*.f64 x (log.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (*.f64 (cbrt.f64 (log.f64 x)) x))
(*.f64 (cbrt.f64 (*.f64 x (log.f64 x))) (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2))
(*.f64 (cbrt.f64 (*.f64 x (log.f64 x))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (log.f64 x)))) (sqrt.f64 (*.f64 x (log.f64 x)))))
(*.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) (log.f64 x)))
(*.f64 (sqrt.f64 (log.f64 x)) (*.f64 (sqrt.f64 (log.f64 x)) x))
(*.f64 (pow.f64 (*.f64 x (log.f64 x)) 1/4) (*.f64 (pow.f64 (*.f64 x (log.f64 x)) 1/4) (sqrt.f64 (*.f64 x (log.f64 x)))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (log.f64 x)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (*.f64 x (log.f64 x)))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (pow.f64 (*.f64 x (log.f64 x)) 1/4)) (pow.f64 (*.f64 x (log.f64 x)) 1/4))
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x)))
(*.f64 (*.f64 x (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)))
(*.f64 (*.f64 (log.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (*.f64 (log.f64 x) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (*.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (cbrt.f64 (*.f64 x (log.f64 x)))) (cbrt.f64 (sqrt.f64 (*.f64 x (log.f64 x)))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (sqrt.f64 x)) (sqrt.f64 (log.f64 x)))
(sqrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 2))
(log.f64 (pow.f64 x 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 (-.f64 (pow.f64 x x) 1))
(-.f64 (+.f64 1 (sqrt.f64 (*.f64 x (log.f64 x)))) 1)
(*.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 1)
(*.f64 1 (sqrt.f64 (*.f64 x (log.f64 x))))
(*.f64 (cbrt.f64 (*.f64 x (log.f64 x))) (cbrt.f64 (sqrt.f64 (*.f64 x (log.f64 x)))))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (log.f64 x)))) (cbrt.f64 (*.f64 x (log.f64 x))))
(*.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 x))
(*.f64 (pow.f64 (*.f64 x (log.f64 x)) 1/4) (pow.f64 (*.f64 x (log.f64 x)) 1/4))
(*.f64 (sqrt.f64 x) (sqrt.f64 (log.f64 x)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 x (log.f64 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 1/2))
(pow.f64 (*.f64 x (log.f64 x)) 1/2)
(pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (log.f64 x)))) 3)
(pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 3/2) 1/3)
(pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 1/4) 2)
(fabs.f64 (sqrt.f64 (*.f64 x (log.f64 x))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 x (log.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 x (log.f64 x)))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 x (log.f64 x)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 x (log.f64 x)))))

simplify58.0ms (1.1%)

Algorithm
egg-herbie
Rules
1320×fma-def
1122×distribute-rgt-in
1100×distribute-lft-in
900×associate-+r+
836×unswap-sqr
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01051248
1216978
2730708
32888708
Stop Event
node limit
Counts
50 → 58
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (*.f64 x (log.f64 x))) 1)
(*.f64 x (log.f64 x))
(*.f64 (log.f64 x) x)
(*.f64 (*.f64 x (log.f64 x)) 1)
(*.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (sqrt.f64 (*.f64 x (log.f64 x))))
(*.f64 1 (*.f64 x (log.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (*.f64 (cbrt.f64 (log.f64 x)) x))
(*.f64 (cbrt.f64 (*.f64 x (log.f64 x))) (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2))
(*.f64 (cbrt.f64 (*.f64 x (log.f64 x))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (log.f64 x)))) (sqrt.f64 (*.f64 x (log.f64 x)))))
(*.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) (log.f64 x)))
(*.f64 (sqrt.f64 (log.f64 x)) (*.f64 (sqrt.f64 (log.f64 x)) x))
(*.f64 (pow.f64 (*.f64 x (log.f64 x)) 1/4) (*.f64 (pow.f64 (*.f64 x (log.f64 x)) 1/4) (sqrt.f64 (*.f64 x (log.f64 x)))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (log.f64 x)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (*.f64 x (log.f64 x)))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (pow.f64 (*.f64 x (log.f64 x)) 1/4)) (pow.f64 (*.f64 x (log.f64 x)) 1/4))
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x)))
(*.f64 (*.f64 x (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)))
(*.f64 (*.f64 (log.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (*.f64 (log.f64 x) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (*.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (cbrt.f64 (*.f64 x (log.f64 x)))) (cbrt.f64 (sqrt.f64 (*.f64 x (log.f64 x)))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (sqrt.f64 x)) (sqrt.f64 (log.f64 x)))
(sqrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 2))
(log.f64 (pow.f64 x 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 (-.f64 (pow.f64 x x) 1))
(-.f64 (+.f64 1 (sqrt.f64 (*.f64 x (log.f64 x)))) 1)
(*.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 1)
(*.f64 1 (sqrt.f64 (*.f64 x (log.f64 x))))
(*.f64 (cbrt.f64 (*.f64 x (log.f64 x))) (cbrt.f64 (sqrt.f64 (*.f64 x (log.f64 x)))))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (log.f64 x)))) (cbrt.f64 (*.f64 x (log.f64 x))))
(*.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 x))
(*.f64 (pow.f64 (*.f64 x (log.f64 x)) 1/4) (pow.f64 (*.f64 x (log.f64 x)) 1/4))
(*.f64 (sqrt.f64 x) (sqrt.f64 (log.f64 x)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 x (log.f64 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 1/2))
(pow.f64 (*.f64 x (log.f64 x)) 1/2)
(pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (log.f64 x)))) 3)
(pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 3/2) 1/3)
(pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 1/4) 2)
(fabs.f64 (sqrt.f64 (*.f64 x (log.f64 x))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 x (log.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 x (log.f64 x)))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 x (log.f64 x)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 x (log.f64 x)))))
Outputs
(-.f64 (+.f64 1 (*.f64 x (log.f64 x))) 1)
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1))
(+.f64 (*.f64 x (log.f64 x)) 0)
(*.f64 x (log.f64 x))
(*.f64 x (log.f64 x))
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1))
(+.f64 (*.f64 x (log.f64 x)) 0)
(*.f64 (log.f64 x) x)
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1))
(+.f64 (*.f64 x (log.f64 x)) 0)
(*.f64 x (log.f64 x))
(*.f64 (*.f64 x (log.f64 x)) 1)
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1))
(+.f64 (*.f64 x (log.f64 x)) 0)
(*.f64 x (log.f64 x))
(*.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (sqrt.f64 (*.f64 x (log.f64 x))))
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1))
(+.f64 (*.f64 x (log.f64 x)) 0)
(*.f64 x (log.f64 x))
(*.f64 1 (*.f64 x (log.f64 x)))
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1))
(+.f64 (*.f64 x (log.f64 x)) 0)
(*.f64 x (log.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (*.f64 (cbrt.f64 (log.f64 x)) x))
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1))
(+.f64 (*.f64 x (log.f64 x)) 0)
(*.f64 x (log.f64 x))
(*.f64 (cbrt.f64 (*.f64 x (log.f64 x))) (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2))
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1))
(+.f64 (*.f64 x (log.f64 x)) 0)
(*.f64 x (log.f64 x))
(*.f64 (cbrt.f64 (*.f64 x (log.f64 x))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (log.f64 x)))) (sqrt.f64 (*.f64 x (log.f64 x)))))
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1))
(+.f64 (*.f64 x (log.f64 x)) 0)
(*.f64 x (log.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) (cbrt.f64 (*.f64 x (log.f64 x))))
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1))
(+.f64 (*.f64 x (log.f64 x)) 0)
(*.f64 x (log.f64 x))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (log.f64 x)))
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1))
(+.f64 (*.f64 x (log.f64 x)) 0)
(*.f64 x (log.f64 x))
(*.f64 (sqrt.f64 (log.f64 x)) (*.f64 (sqrt.f64 (log.f64 x)) x))
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1))
(+.f64 (*.f64 x (log.f64 x)) 0)
(*.f64 x (log.f64 x))
(*.f64 (pow.f64 (*.f64 x (log.f64 x)) 1/4) (*.f64 (pow.f64 (*.f64 x (log.f64 x)) 1/4) (sqrt.f64 (*.f64 x (log.f64 x)))))
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1))
(+.f64 (*.f64 x (log.f64 x)) 0)
(*.f64 x (log.f64 x))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (log.f64 x)))
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1))
(+.f64 (*.f64 x (log.f64 x)) 0)
(*.f64 x (log.f64 x))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (*.f64 x (log.f64 x)))))
(*.f64 (*.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 x)) (sqrt.f64 (*.f64 x (log.f64 x))))
(*.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (*.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 x)))
(*.f64 (*.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (pow.f64 (*.f64 x (log.f64 x)) 1/4)) (pow.f64 (*.f64 x (log.f64 x)) 1/4))
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1))
(+.f64 (*.f64 x (log.f64 x)) 0)
(*.f64 x (log.f64 x))
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x)))
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1))
(+.f64 (*.f64 x (log.f64 x)) 0)
(*.f64 x (log.f64 x))
(*.f64 (*.f64 x (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)))
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1))
(+.f64 (*.f64 x (log.f64 x)) 0)
(*.f64 x (log.f64 x))
(*.f64 (*.f64 (log.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1))
(+.f64 (*.f64 x (log.f64 x)) 0)
(*.f64 x (log.f64 x))
(*.f64 (*.f64 (log.f64 x) (sqrt.f64 x)) (sqrt.f64 x))
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1))
(+.f64 (*.f64 x (log.f64 x)) 0)
(*.f64 x (log.f64 x))
(*.f64 (*.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (cbrt.f64 (*.f64 x (log.f64 x)))) (cbrt.f64 (sqrt.f64 (*.f64 x (log.f64 x)))))
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1))
(+.f64 (*.f64 x (log.f64 x)) 0)
(*.f64 x (log.f64 x))
(*.f64 (*.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (sqrt.f64 x)) (sqrt.f64 (log.f64 x)))
(*.f64 (*.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 x)) (sqrt.f64 (*.f64 x (log.f64 x))))
(*.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (*.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 x)))
(sqrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 2))
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1))
(+.f64 (*.f64 x (log.f64 x)) 0)
(*.f64 x (log.f64 x))
(log.f64 (pow.f64 x x))
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1))
(+.f64 (*.f64 x (log.f64 x)) 0)
(*.f64 x (log.f64 x))
(cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3))
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1))
(+.f64 (*.f64 x (log.f64 x)) 0)
(*.f64 x (log.f64 x))
(expm1.f64 (log1p.f64 (*.f64 x (log.f64 x))))
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1))
(+.f64 (*.f64 x (log.f64 x)) 0)
(*.f64 x (log.f64 x))
(exp.f64 (log.f64 (*.f64 x (log.f64 x))))
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1))
(+.f64 (*.f64 x (log.f64 x)) 0)
(*.f64 x (log.f64 x))
(log1p.f64 (-.f64 (pow.f64 x x) 1))
(log1p.f64 (+.f64 (pow.f64 x x) -1))
(-.f64 (+.f64 1 (sqrt.f64 (*.f64 x (log.f64 x)))) 1)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 1))
(+.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 0)
(sqrt.f64 (*.f64 x (log.f64 x)))
(*.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 1)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 1))
(+.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 0)
(sqrt.f64 (*.f64 x (log.f64 x)))
(*.f64 1 (sqrt.f64 (*.f64 x (log.f64 x))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 1))
(+.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 0)
(sqrt.f64 (*.f64 x (log.f64 x)))
(*.f64 (cbrt.f64 (*.f64 x (log.f64 x))) (cbrt.f64 (sqrt.f64 (*.f64 x (log.f64 x)))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 1))
(+.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 0)
(sqrt.f64 (*.f64 x (log.f64 x)))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (log.f64 x)))) (cbrt.f64 (*.f64 x (log.f64 x))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 1))
(+.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 0)
(sqrt.f64 (*.f64 x (log.f64 x)))
(*.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 x))
(*.f64 (pow.f64 (*.f64 x (log.f64 x)) 1/4) (pow.f64 (*.f64 x (log.f64 x)) 1/4))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 1))
(+.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 0)
(sqrt.f64 (*.f64 x (log.f64 x)))
(*.f64 (sqrt.f64 x) (sqrt.f64 (log.f64 x)))
(*.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 x))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 1))
(+.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 0)
(sqrt.f64 (*.f64 x (log.f64 x)))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 x (log.f64 x))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 1))
(+.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 0)
(sqrt.f64 (*.f64 x (log.f64 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 1/2))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 1))
(+.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 0)
(sqrt.f64 (*.f64 x (log.f64 x)))
(pow.f64 (*.f64 x (log.f64 x)) 1/2)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 1))
(+.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 0)
(sqrt.f64 (*.f64 x (log.f64 x)))
(pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 1)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 1))
(+.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 0)
(sqrt.f64 (*.f64 x (log.f64 x)))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (log.f64 x)))) 3)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 1))
(+.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 0)
(sqrt.f64 (*.f64 x (log.f64 x)))
(pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 3/2) 1/3)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 1))
(+.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 0)
(sqrt.f64 (*.f64 x (log.f64 x)))
(pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 1/4) 2)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 1))
(+.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 0)
(sqrt.f64 (*.f64 x (log.f64 x)))
(fabs.f64 (sqrt.f64 (*.f64 x (log.f64 x))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 1))
(+.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 0)
(sqrt.f64 (*.f64 x (log.f64 x)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 x (log.f64 x)))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 1))
(+.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 0)
(sqrt.f64 (*.f64 x (log.f64 x)))
(cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3/2))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 1))
(+.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 0)
(sqrt.f64 (*.f64 x (log.f64 x)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 x (log.f64 x)))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 1))
(+.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 0)
(sqrt.f64 (*.f64 x (log.f64 x)))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 x (log.f64 x)))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 1))
(+.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 0)
(sqrt.f64 (*.f64 x (log.f64 x)))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 x (log.f64 x)))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 1))
(+.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 0)
(sqrt.f64 (*.f64 x (log.f64 x)))

eval82.0ms (1.5%)

Compiler

Compiled 3273 to 1453 computations (55.6% saved)

prune99.0ms (1.8%)

Pruning

23 alts after pruning (17 fresh and 6 done)

PrunedKeptTotal
New29417311
Fresh000
Picked011
Done055
Total29423317
Accurracy
100.0%
Counts
317 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.0%
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) 3) 3)
50.9%
(pow.f64 (*.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 x)) 2)
51.1%
(pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 2)
97.8%
(pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3)
96.5%
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) 2) 3) (cbrt.f64 (*.f64 x (log.f64 x))))
97.8%
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) (cbrt.f64 (*.f64 x (log.f64 x))))
97.2%
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2)))
99.1%
(*.f64 (*.f64 (log.f64 x) (sqrt.f64 x)) (sqrt.f64 x))
98.0%
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x)))
51.1%
(*.f64 (*.f64 x (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)))
99.5%
(*.f64 x (log.f64 x))
48.0%
(*.f64 -1 (pow.f64 (sqrt.f64 (*.f64 x (neg.f64 (log.f64 x)))) 2))
98.0%
(*.f64 -1 (*.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 x))) 3) x))
99.3%
(*.f64 -1 (*.f64 (/.f64 (-.f64 0 (pow.f64 (log.f64 x) 3)) (+.f64 0 (+.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 0 (log.f64 x))))) x))
98.7%
(*.f64 -1 (*.f64 (*.f64 (cbrt.f64 (*.f64 (log.f64 x) (log.f64 x))) (cbrt.f64 (neg.f64 (log.f64 x)))) x))
99.5%
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x))
47.6%
(*.f64 -1 (*.f64 (exp.f64 (log.f64 (neg.f64 (log.f64 x)))) x))
99.0%
(*.f64 -1 (*.f64 (cbrt.f64 (pow.f64 (neg.f64 (log.f64 x)) 3)) x))
4.7%
(log.f64 (pow.f64 x x))
39.6%
(cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3))
39.5%
(cbrt.f64 (*.f64 (pow.f64 (log.f64 x) 3) (pow.f64 x 3)))
39.6%
(cbrt.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) (log.f64 x)) x))
20.2%
(cbrt.f64 (exp.f64 (*.f64 3 (log.f64 (*.f64 x (log.f64 x))))))
Compiler

Compiled 487 to 323 computations (33.7% saved)

localize33.0ms (0.6%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
99.5%
(*.f64 (/.f64 (-.f64 0 (pow.f64 (log.f64 x) 3)) (+.f64 0 (+.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 0 (log.f64 x))))) x)
99.5%
(/.f64 (-.f64 0 (pow.f64 (log.f64 x) 3)) (+.f64 0 (+.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 0 (log.f64 x)))))
99.1%
(*.f64 (log.f64 x) (log.f64 x))
98.9%
(pow.f64 (log.f64 x) 3)
Compiler

Compiled 111 to 56 computations (49.5% saved)

series5.0ms (0.1%)

Counts
4 → 44
Calls

12 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(/.f64 (-.f64 0 (pow.f64 (log.f64 x) 3)) (+.f64 0 (+.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 0 (log.f64 x)))))
1.0ms
x
@-inf
(pow.f64 (log.f64 x) 3)
0.0ms
x
@inf
(pow.f64 (log.f64 x) 3)
0.0ms
x
@0
(pow.f64 (log.f64 x) 3)
0.0ms
x
@0
(*.f64 (/.f64 (-.f64 0 (pow.f64 (log.f64 x) 3)) (+.f64 0 (+.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 0 (log.f64 x))))) x)

rewrite73.0ms (1.3%)

Algorithm
batch-egg-rewrite
Rules
1968×pow1
1838×log1p-expm1-u
1838×expm1-log1p-u
306×add-sqr-sqrt
296×*-un-lft-identity
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
015102
136138
2485338
Stop Event
node limit
Counts
4 → 140
Calls
Call 1
Inputs
(pow.f64 (log.f64 x) 3)
(*.f64 (log.f64 x) (log.f64 x))
(/.f64 (-.f64 0 (pow.f64 (log.f64 x) 3)) (+.f64 0 (+.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 0 (log.f64 x)))))
(*.f64 (/.f64 (-.f64 0 (pow.f64 (log.f64 x) 3)) (+.f64 0 (+.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 0 (log.f64 x))))) x)
Outputs
(+.f64 (pow.f64 (log.f64 x) 3) 0)
(+.f64 0 (pow.f64 (log.f64 x) 3))
(-.f64 0 (pow.f64 (log.f64 x) 3))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 x) 3))) 1)
(-.f64 (/.f64 0 (pow.f64 (log.f64 x) 6)) (pow.f64 (log.f64 x) 3))
(-.f64 (/.f64 0 (pow.f64 (log.f64 x) 3)) (pow.f64 (log.f64 x) 3))
(*.f64 (log.f64 x) (pow.f64 (log.f64 x) 2))
(*.f64 (pow.f64 (log.f64 x) 3) 1)
(*.f64 (pow.f64 (log.f64 x) 2) (log.f64 x))
(*.f64 1 (pow.f64 (log.f64 x) 3))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 x) 2)) (*.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (log.f64 x) 2)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 x) 4)) (*.f64 (cbrt.f64 (pow.f64 (log.f64 x) 2)) (log.f64 x)))
(*.f64 (pow.f64 (log.f64 x) 6) (/.f64 1 (pow.f64 (log.f64 x) 3)))
(*.f64 (sqrt.f64 (log.f64 x)) (*.f64 (sqrt.f64 (log.f64 x)) (pow.f64 (log.f64 x) 2)))
(*.f64 (pow.f64 (log.f64 x) 3/2) (pow.f64 (log.f64 x) 3/2))
(*.f64 (pow.f64 (log.f64 x) 3/2) (neg.f64 (pow.f64 (log.f64 x) 3/2)))
(*.f64 (pow.f64 (log.f64 x) 9) (/.f64 1 (pow.f64 (log.f64 x) 6)))
(*.f64 -1 (pow.f64 (log.f64 x) 3))
(*.f64 (pow.f64 (sqrt.f64 (log.f64 x)) 3) (pow.f64 (sqrt.f64 (log.f64 x)) 3))
(*.f64 (*.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 x) 3)) (/.f64 1 (pow.f64 (log.f64 x) 2)))
(*.f64 (neg.f64 (pow.f64 (log.f64 x) 3/2)) (pow.f64 (log.f64 x) 3/2))
(*.f64 (*.f64 (pow.f64 (log.f64 x) 2) (cbrt.f64 (pow.f64 (log.f64 x) 2))) (cbrt.f64 (log.f64 x)))
(*.f64 (*.f64 (pow.f64 (log.f64 x) 2) (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)))
(*.f64 (*.f64 (log.f64 x) (cbrt.f64 (pow.f64 (log.f64 x) 4))) (cbrt.f64 (pow.f64 (log.f64 x) 2)))
(/.f64 (pow.f64 (log.f64 x) 2) (/.f64 1 (log.f64 x)))
(/.f64 1 (/.f64 (pow.f64 (log.f64 x) 6) (pow.f64 (log.f64 x) 9)))
(/.f64 1 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 x) 6)))
(/.f64 (pow.f64 (log.f64 x) 6) (pow.f64 (log.f64 x) 3))
(/.f64 (pow.f64 (log.f64 x) 9) (pow.f64 (log.f64 x) 6))
(/.f64 (pow.f64 (log.f64 x) 9) (+.f64 0 (-.f64 (pow.f64 (log.f64 x) 6) 0)))
(/.f64 (*.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 x) 3)) (pow.f64 (log.f64 x) 2))
(neg.f64 (pow.f64 (log.f64 x) 3))
(sqrt.f64 (pow.f64 (log.f64 x) 6))
(log.f64 (exp.f64 (pow.f64 (log.f64 x) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log.f64 x) 3))))
(cbrt.f64 (pow.f64 (log.f64 x) 9))
(expm1.f64 (log1p.f64 (pow.f64 (log.f64 x) 3)))
(exp.f64 (*.f64 3 (log.f64 (log.f64 x))))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 x))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (log.f64 x) 3)))
(+.f64 0 (pow.f64 (log.f64 x) 2))
(+.f64 (pow.f64 (log.f64 x) 2) 0)
(-.f64 0 (pow.f64 (log.f64 x) 2))
(-.f64 (pow.f64 (log.f64 x) 2) 0)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 x) 2))) 1)
(/.f64 (log.f64 x) (/.f64 1 (log.f64 x)))
(/.f64 (pow.f64 (log.f64 x) 3) (*.f64 (pow.f64 (log.f64 x) 2) (/.f64 1 (log.f64 x))))
(/.f64 (pow.f64 (log.f64 x) 3) (*.f64 (/.f64 1 (log.f64 x)) (pow.f64 (log.f64 x) 2)))
(/.f64 1 (*.f64 (/.f64 1 (log.f64 x)) (/.f64 1 (log.f64 x))))
(/.f64 1 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 (log.f64 x) 6)))
(/.f64 1 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 x) 4)))
(/.f64 (pow.f64 (log.f64 x) 6) (pow.f64 (log.f64 x) 4))
(/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 (log.f64 x) 2))
(/.f64 (-.f64 (pow.f64 (log.f64 x) 6) 0) (pow.f64 (log.f64 x) 4))
(pow.f64 (log.f64 x) 2)
(pow.f64 (pow.f64 (log.f64 x) 2) 1)
(pow.f64 (cbrt.f64 (pow.f64 (log.f64 x) 2)) 3)
(pow.f64 (pow.f64 (log.f64 x) 6) 1/3)
(neg.f64 (pow.f64 (log.f64 x) 2))
(sqrt.f64 (pow.f64 (log.f64 x) 4))
(log.f64 (pow.f64 x (log.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log.f64 x) 2))))
(log.f64 (/.f64 1 (pow.f64 x (log.f64 x))))
(cbrt.f64 (pow.f64 (log.f64 x) 6))
(expm1.f64 (log1p.f64 (pow.f64 (log.f64 x) 2)))
(exp.f64 (*.f64 2 (log.f64 (log.f64 x))))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (log.f64 x))) 1))
(exp.f64 (*.f64 (log.f64 (log.f64 x)) 2))
(log1p.f64 (expm1.f64 (pow.f64 (log.f64 x) 2)))
(fma.f64 (log.f64 x) (log.f64 x) 0)
(fma.f64 1 (pow.f64 (log.f64 x) 2) 0)
(fma.f64 (cbrt.f64 (pow.f64 (log.f64 x) 4)) (cbrt.f64 (pow.f64 (log.f64 x) 2)) 0)
(+.f64 (log.f64 x) 0)
(+.f64 0 (log.f64 x))
(+.f64 (log.f64 (sqrt.f64 x)) (log.f64 (sqrt.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 x) 2)) (log.f64 (cbrt.f64 x)))
(-.f64 0 (log.f64 x))
(-.f64 (exp.f64 (log1p.f64 (log.f64 x))) 1)
(*.f64 (log.f64 x) 1)
(*.f64 (log.f64 x) (/.f64 (log.f64 x) (log.f64 x)))
(*.f64 (pow.f64 (log.f64 x) 3) (/.f64 1 (pow.f64 (log.f64 x) 2)))
(*.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 x) (/.f64 1 (pow.f64 (log.f64 x) 2))))
(*.f64 1 (log.f64 x))
(*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 (pow.f64 (log.f64 x) 2)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 x) 2)) (cbrt.f64 (log.f64 x)))
(*.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)))
(*.f64 (pow.f64 (log.f64 x) 3/2) (*.f64 (pow.f64 (log.f64 x) 3/2) (/.f64 1 (pow.f64 (log.f64 x) 2))))
(*.f64 (/.f64 1 (pow.f64 (log.f64 x) 2)) (pow.f64 (log.f64 x) 3))
(*.f64 (/.f64 1 (log.f64 x)) (/.f64 (pow.f64 (log.f64 x) 3) (log.f64 x)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (log.f64 x) 4))) (sqrt.f64 (cbrt.f64 (pow.f64 (log.f64 x) 2))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (log.f64 x) 4))) (/.f64 (pow.f64 (log.f64 x) 3) (cbrt.f64 (pow.f64 (log.f64 x) 2))))
(*.f64 (/.f64 (log.f64 x) 1) (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 x) 2)))
(*.f64 (/.f64 (log.f64 x) (cbrt.f64 (pow.f64 (log.f64 x) 4))) (/.f64 (pow.f64 (log.f64 x) 2) (cbrt.f64 (pow.f64 (log.f64 x) 2))))
(*.f64 (/.f64 (log.f64 x) (log.f64 x)) (log.f64 x))
(*.f64 (/.f64 (pow.f64 (log.f64 x) 3/2) 1) (/.f64 (pow.f64 (log.f64 x) 3/2) (pow.f64 (log.f64 x) 2)))
(*.f64 (/.f64 (pow.f64 (log.f64 x) 3/2) (cbrt.f64 (pow.f64 (log.f64 x) 4))) (/.f64 (pow.f64 (log.f64 x) 3/2) (cbrt.f64 (pow.f64 (log.f64 x) 2))))
(*.f64 (/.f64 (pow.f64 (log.f64 x) 2) 1) (/.f64 (log.f64 x) (pow.f64 (log.f64 x) 2)))
(*.f64 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 x) 6)) (pow.f64 (log.f64 x) 4))
(*.f64 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 x) 4)) (pow.f64 (log.f64 x) 2))
(pow.f64 (log.f64 x) 1)
(pow.f64 (pow.f64 (log.f64 x) 3) 1/3)
(pow.f64 (pow.f64 (log.f64 x) 2) 1/2)
(pow.f64 (cbrt.f64 (log.f64 x)) 3)
(pow.f64 (sqrt.f64 (log.f64 x)) 2)
(pow.f64 (/.f64 1 (log.f64 x)) -1)
(neg.f64 (log.f64 x))
(sqrt.f64 (pow.f64 (log.f64 x) 2))
(fabs.f64 (log.f64 x))
(log.f64 x)
(log.f64 (+.f64 1 (-.f64 x 1)))
(cbrt.f64 (pow.f64 (log.f64 x) 3))
(expm1.f64 (log1p.f64 (log.f64 x)))
(exp.f64 (log.f64 (log.f64 x)))
(exp.f64 (*.f64 (log.f64 (log.f64 x)) 1))
(log1p.f64 (-.f64 x 1))
(fma.f64 1 (log.f64 x) 0)
(fma.f64 (cbrt.f64 (pow.f64 (log.f64 x) 2)) (cbrt.f64 (log.f64 x)) 0)
(fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) 0)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (log.f64 x)))) 1)
(/.f64 x (/.f64 1 (log.f64 x)))
(/.f64 (pow.f64 (log.f64 x) 3) (/.f64 (pow.f64 (log.f64 x) 2) x))
(/.f64 1 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 x (pow.f64 (log.f64 x) 3))))
(/.f64 (*.f64 x (pow.f64 (log.f64 x) 3)) (pow.f64 (log.f64 x) 2))
(/.f64 (/.f64 (*.f64 x (pow.f64 (log.f64 x) 3)) (log.f64 x)) (log.f64 x))
(/.f64 (/.f64 (*.f64 x (pow.f64 (log.f64 x) 3)) 1) (pow.f64 (log.f64 x) 2))
(/.f64 (/.f64 (*.f64 x (pow.f64 (log.f64 x) 3)) (cbrt.f64 (pow.f64 (log.f64 x) 4))) (cbrt.f64 (pow.f64 (log.f64 x) 2)))
(pow.f64 (*.f64 x (log.f64 x)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3)
(pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 2))
(log.f64 (pow.f64 x x))
(log.f64 (+.f64 1 (-.f64 (pow.f64 x x) 1)))
(cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (log.f64 x) 3)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 x) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x (log.f64 x))))
(exp.f64 (log.f64 (*.f64 x (log.f64 x))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (log.f64 x))) 1))
(log1p.f64 (-.f64 (pow.f64 x x) 1))

simplify112.0ms (2%)

Algorithm
egg-herbie
Rules
1666×fma-neg
1544×log-prod
1320×times-frac
1108×exp-prod
598×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02752790
15532674
243482674
Stop Event
node limit
Counts
184 → 186
Calls
Call 1
Inputs
(*.f64 -1 (pow.f64 (log.f64 (/.f64 1 x)) 3))
(*.f64 -1 (pow.f64 (log.f64 (/.f64 1 x)) 3))
(*.f64 -1 (pow.f64 (log.f64 (/.f64 1 x)) 3))
(*.f64 -1 (pow.f64 (log.f64 (/.f64 1 x)) 3))
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 3)
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 3)
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 3)
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 3)
(pow.f64 (log.f64 x) 2)
(pow.f64 (log.f64 x) 2)
(pow.f64 (log.f64 x) 2)
(pow.f64 (log.f64 x) 2)
(pow.f64 (log.f64 (/.f64 1 x)) 2)
(pow.f64 (log.f64 (/.f64 1 x)) 2)
(pow.f64 (log.f64 (/.f64 1 x)) 2)
(pow.f64 (log.f64 (/.f64 1 x)) 2)
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2)
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2)
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2)
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2)
(*.f64 -1 (log.f64 x))
(*.f64 -1 (log.f64 x))
(*.f64 -1 (log.f64 x))
(*.f64 -1 (log.f64 x))
(log.f64 (/.f64 1 x))
(log.f64 (/.f64 1 x))
(log.f64 (/.f64 1 x))
(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 -1 (*.f64 x (log.f64 x)))
(*.f64 -1 (*.f64 x (log.f64 x)))
(*.f64 -1 (*.f64 x (log.f64 x)))
(*.f64 -1 (*.f64 x (log.f64 x)))
(*.f64 (log.f64 (/.f64 1 x)) x)
(*.f64 (log.f64 (/.f64 1 x)) x)
(*.f64 (log.f64 (/.f64 1 x)) x)
(*.f64 (log.f64 (/.f64 1 x)) x)
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x))
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x))
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x))
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x))
(+.f64 (pow.f64 (log.f64 x) 3) 0)
(+.f64 0 (pow.f64 (log.f64 x) 3))
(-.f64 0 (pow.f64 (log.f64 x) 3))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 x) 3))) 1)
(-.f64 (/.f64 0 (pow.f64 (log.f64 x) 6)) (pow.f64 (log.f64 x) 3))
(-.f64 (/.f64 0 (pow.f64 (log.f64 x) 3)) (pow.f64 (log.f64 x) 3))
(*.f64 (log.f64 x) (pow.f64 (log.f64 x) 2))
(*.f64 (pow.f64 (log.f64 x) 3) 1)
(*.f64 (pow.f64 (log.f64 x) 2) (log.f64 x))
(*.f64 1 (pow.f64 (log.f64 x) 3))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 x) 2)) (*.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (log.f64 x) 2)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 x) 4)) (*.f64 (cbrt.f64 (pow.f64 (log.f64 x) 2)) (log.f64 x)))
(*.f64 (pow.f64 (log.f64 x) 6) (/.f64 1 (pow.f64 (log.f64 x) 3)))
(*.f64 (sqrt.f64 (log.f64 x)) (*.f64 (sqrt.f64 (log.f64 x)) (pow.f64 (log.f64 x) 2)))
(*.f64 (pow.f64 (log.f64 x) 3/2) (pow.f64 (log.f64 x) 3/2))
(*.f64 (pow.f64 (log.f64 x) 3/2) (neg.f64 (pow.f64 (log.f64 x) 3/2)))
(*.f64 (pow.f64 (log.f64 x) 9) (/.f64 1 (pow.f64 (log.f64 x) 6)))
(*.f64 -1 (pow.f64 (log.f64 x) 3))
(*.f64 (pow.f64 (sqrt.f64 (log.f64 x)) 3) (pow.f64 (sqrt.f64 (log.f64 x)) 3))
(*.f64 (*.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 x) 3)) (/.f64 1 (pow.f64 (log.f64 x) 2)))
(*.f64 (neg.f64 (pow.f64 (log.f64 x) 3/2)) (pow.f64 (log.f64 x) 3/2))
(*.f64 (*.f64 (pow.f64 (log.f64 x) 2) (cbrt.f64 (pow.f64 (log.f64 x) 2))) (cbrt.f64 (log.f64 x)))
(*.f64 (*.f64 (pow.f64 (log.f64 x) 2) (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)))
(*.f64 (*.f64 (log.f64 x) (cbrt.f64 (pow.f64 (log.f64 x) 4))) (cbrt.f64 (pow.f64 (log.f64 x) 2)))
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(/.f64 1 (/.f64 (pow.f64 (log.f64 x) 6) (pow.f64 (log.f64 x) 9)))
(/.f64 1 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 x) 6)))
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(/.f64 (pow.f64 (log.f64 x) 9) (pow.f64 (log.f64 x) 6))
(/.f64 (pow.f64 (log.f64 x) 9) (+.f64 0 (-.f64 (pow.f64 (log.f64 x) 6) 0)))
(/.f64 (*.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 x) 3)) (pow.f64 (log.f64 x) 2))
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(log.f64 (exp.f64 (pow.f64 (log.f64 x) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log.f64 x) 3))))
(cbrt.f64 (pow.f64 (log.f64 x) 9))
(expm1.f64 (log1p.f64 (pow.f64 (log.f64 x) 3)))
(exp.f64 (*.f64 3 (log.f64 (log.f64 x))))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 x))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (log.f64 x) 3)))
(+.f64 0 (pow.f64 (log.f64 x) 2))
(+.f64 (pow.f64 (log.f64 x) 2) 0)
(-.f64 0 (pow.f64 (log.f64 x) 2))
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(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 x) 2))) 1)
(/.f64 (log.f64 x) (/.f64 1 (log.f64 x)))
(/.f64 (pow.f64 (log.f64 x) 3) (*.f64 (pow.f64 (log.f64 x) 2) (/.f64 1 (log.f64 x))))
(/.f64 (pow.f64 (log.f64 x) 3) (*.f64 (/.f64 1 (log.f64 x)) (pow.f64 (log.f64 x) 2)))
(/.f64 1 (*.f64 (/.f64 1 (log.f64 x)) (/.f64 1 (log.f64 x))))
(/.f64 1 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 (log.f64 x) 6)))
(/.f64 1 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 x) 4)))
(/.f64 (pow.f64 (log.f64 x) 6) (pow.f64 (log.f64 x) 4))
(/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 (log.f64 x) 2))
(/.f64 (-.f64 (pow.f64 (log.f64 x) 6) 0) (pow.f64 (log.f64 x) 4))
(pow.f64 (log.f64 x) 2)
(pow.f64 (pow.f64 (log.f64 x) 2) 1)
(pow.f64 (cbrt.f64 (pow.f64 (log.f64 x) 2)) 3)
(pow.f64 (pow.f64 (log.f64 x) 6) 1/3)
(neg.f64 (pow.f64 (log.f64 x) 2))
(sqrt.f64 (pow.f64 (log.f64 x) 4))
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(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log.f64 x) 2))))
(log.f64 (/.f64 1 (pow.f64 x (log.f64 x))))
(cbrt.f64 (pow.f64 (log.f64 x) 6))
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(exp.f64 (*.f64 (*.f64 2 (log.f64 (log.f64 x))) 1))
(exp.f64 (*.f64 (log.f64 (log.f64 x)) 2))
(log1p.f64 (expm1.f64 (pow.f64 (log.f64 x) 2)))
(fma.f64 (log.f64 x) (log.f64 x) 0)
(fma.f64 1 (pow.f64 (log.f64 x) 2) 0)
(fma.f64 (cbrt.f64 (pow.f64 (log.f64 x) 4)) (cbrt.f64 (pow.f64 (log.f64 x) 2)) 0)
(+.f64 (log.f64 x) 0)
(+.f64 0 (log.f64 x))
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(-.f64 0 (log.f64 x))
(-.f64 (exp.f64 (log1p.f64 (log.f64 x))) 1)
(*.f64 (log.f64 x) 1)
(*.f64 (log.f64 x) (/.f64 (log.f64 x) (log.f64 x)))
(*.f64 (pow.f64 (log.f64 x) 3) (/.f64 1 (pow.f64 (log.f64 x) 2)))
(*.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 x) (/.f64 1 (pow.f64 (log.f64 x) 2))))
(*.f64 1 (log.f64 x))
(*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 (pow.f64 (log.f64 x) 2)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 x) 2)) (cbrt.f64 (log.f64 x)))
(*.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)))
(*.f64 (pow.f64 (log.f64 x) 3/2) (*.f64 (pow.f64 (log.f64 x) 3/2) (/.f64 1 (pow.f64 (log.f64 x) 2))))
(*.f64 (/.f64 1 (pow.f64 (log.f64 x) 2)) (pow.f64 (log.f64 x) 3))
(*.f64 (/.f64 1 (log.f64 x)) (/.f64 (pow.f64 (log.f64 x) 3) (log.f64 x)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (log.f64 x) 4))) (sqrt.f64 (cbrt.f64 (pow.f64 (log.f64 x) 2))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (log.f64 x) 4))) (/.f64 (pow.f64 (log.f64 x) 3) (cbrt.f64 (pow.f64 (log.f64 x) 2))))
(*.f64 (/.f64 (log.f64 x) 1) (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 x) 2)))
(*.f64 (/.f64 (log.f64 x) (cbrt.f64 (pow.f64 (log.f64 x) 4))) (/.f64 (pow.f64 (log.f64 x) 2) (cbrt.f64 (pow.f64 (log.f64 x) 2))))
(*.f64 (/.f64 (log.f64 x) (log.f64 x)) (log.f64 x))
(*.f64 (/.f64 (pow.f64 (log.f64 x) 3/2) 1) (/.f64 (pow.f64 (log.f64 x) 3/2) (pow.f64 (log.f64 x) 2)))
(*.f64 (/.f64 (pow.f64 (log.f64 x) 3/2) (cbrt.f64 (pow.f64 (log.f64 x) 4))) (/.f64 (pow.f64 (log.f64 x) 3/2) (cbrt.f64 (pow.f64 (log.f64 x) 2))))
(*.f64 (/.f64 (pow.f64 (log.f64 x) 2) 1) (/.f64 (log.f64 x) (pow.f64 (log.f64 x) 2)))
(*.f64 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 x) 6)) (pow.f64 (log.f64 x) 4))
(*.f64 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 x) 4)) (pow.f64 (log.f64 x) 2))
(pow.f64 (log.f64 x) 1)
(pow.f64 (pow.f64 (log.f64 x) 3) 1/3)
(pow.f64 (pow.f64 (log.f64 x) 2) 1/2)
(pow.f64 (cbrt.f64 (log.f64 x)) 3)
(pow.f64 (sqrt.f64 (log.f64 x)) 2)
(pow.f64 (/.f64 1 (log.f64 x)) -1)
(neg.f64 (log.f64 x))
(sqrt.f64 (pow.f64 (log.f64 x) 2))
(fabs.f64 (log.f64 x))
(log.f64 x)
(log.f64 (+.f64 1 (-.f64 x 1)))
(cbrt.f64 (pow.f64 (log.f64 x) 3))
(expm1.f64 (log1p.f64 (log.f64 x)))
(exp.f64 (log.f64 (log.f64 x)))
(exp.f64 (*.f64 (log.f64 (log.f64 x)) 1))
(log1p.f64 (-.f64 x 1))
(fma.f64 1 (log.f64 x) 0)
(fma.f64 (cbrt.f64 (pow.f64 (log.f64 x) 2)) (cbrt.f64 (log.f64 x)) 0)
(fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) 0)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (log.f64 x)))) 1)
(/.f64 x (/.f64 1 (log.f64 x)))
(/.f64 (pow.f64 (log.f64 x) 3) (/.f64 (pow.f64 (log.f64 x) 2) x))
(/.f64 1 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 x (pow.f64 (log.f64 x) 3))))
(/.f64 (*.f64 x (pow.f64 (log.f64 x) 3)) (pow.f64 (log.f64 x) 2))
(/.f64 (/.f64 (*.f64 x (pow.f64 (log.f64 x) 3)) (log.f64 x)) (log.f64 x))
(/.f64 (/.f64 (*.f64 x (pow.f64 (log.f64 x) 3)) 1) (pow.f64 (log.f64 x) 2))
(/.f64 (/.f64 (*.f64 x (pow.f64 (log.f64 x) 3)) (cbrt.f64 (pow.f64 (log.f64 x) 4))) (cbrt.f64 (pow.f64 (log.f64 x) 2)))
(pow.f64 (*.f64 x (log.f64 x)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3)
(pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 2))
(log.f64 (pow.f64 x x))
(log.f64 (+.f64 1 (-.f64 (pow.f64 x x) 1)))
(cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (log.f64 x) 3)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 x) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x (log.f64 x))))
(exp.f64 (log.f64 (*.f64 x (log.f64 x))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (log.f64 x))) 1))
(log1p.f64 (-.f64 (pow.f64 x x) 1))
Outputs
(*.f64 -1 (pow.f64 (log.f64 (/.f64 1 x)) 3))
(neg.f64 (pow.f64 (neg.f64 (log.f64 x)) 3))
(*.f64 -1 (pow.f64 (log.f64 (/.f64 1 x)) 3))
(neg.f64 (pow.f64 (neg.f64 (log.f64 x)) 3))
(*.f64 -1 (pow.f64 (log.f64 (/.f64 1 x)) 3))
(neg.f64 (pow.f64 (neg.f64 (log.f64 x)) 3))
(*.f64 -1 (pow.f64 (log.f64 (/.f64 1 x)) 3))
(neg.f64 (pow.f64 (neg.f64 (log.f64 x)) 3))
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 3)
(pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 3)
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3)
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 3)
(pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 3)
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3)
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 3)
(pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 3)
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3)
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 3)
(pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 3)
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3)
(pow.f64 (log.f64 x) 2)
(pow.f64 (log.f64 x) 2)
(pow.f64 (log.f64 x) 2)
(pow.f64 (log.f64 x) 2)
(pow.f64 (log.f64 (/.f64 1 x)) 2)
(pow.f64 (log.f64 x) 2)
(pow.f64 (log.f64 (/.f64 1 x)) 2)
(pow.f64 (log.f64 x) 2)
(pow.f64 (log.f64 (/.f64 1 x)) 2)
(pow.f64 (log.f64 x) 2)
(pow.f64 (log.f64 (/.f64 1 x)) 2)
(pow.f64 (log.f64 x) 2)
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2)
(pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2)
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2)
(pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2)
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2)
(pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2)
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2)
(pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2)
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)
(*.f64 -1 (log.f64 x))
(neg.f64 (log.f64 x))
(*.f64 -1 (log.f64 x))
(neg.f64 (log.f64 x))
(*.f64 -1 (log.f64 x))
(neg.f64 (log.f64 x))
(*.f64 -1 (log.f64 x))
(neg.f64 (log.f64 x))
(log.f64 (/.f64 1 x))
(neg.f64 (log.f64 x))
(log.f64 (/.f64 1 x))
(neg.f64 (log.f64 x))
(log.f64 (/.f64 1 x))
(neg.f64 (log.f64 x))
(log.f64 (/.f64 1 x))
(neg.f64 (log.f64 x))
(*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(neg.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))
(neg.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(neg.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))
(neg.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(neg.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))
(neg.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(neg.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))
(neg.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(*.f64 -1 (*.f64 x (log.f64 x)))
(neg.f64 (*.f64 x (log.f64 x)))
(*.f64 (log.f64 x) (neg.f64 x))
(*.f64 x (neg.f64 (log.f64 x)))
(*.f64 -1 (*.f64 x (log.f64 x)))
(neg.f64 (*.f64 x (log.f64 x)))
(*.f64 (log.f64 x) (neg.f64 x))
(*.f64 x (neg.f64 (log.f64 x)))
(*.f64 -1 (*.f64 x (log.f64 x)))
(neg.f64 (*.f64 x (log.f64 x)))
(*.f64 (log.f64 x) (neg.f64 x))
(*.f64 x (neg.f64 (log.f64 x)))
(*.f64 -1 (*.f64 x (log.f64 x)))
(neg.f64 (*.f64 x (log.f64 x)))
(*.f64 (log.f64 x) (neg.f64 x))
(*.f64 x (neg.f64 (log.f64 x)))
(*.f64 (log.f64 (/.f64 1 x)) x)
(neg.f64 (*.f64 x (log.f64 x)))
(*.f64 (log.f64 x) (neg.f64 x))
(*.f64 x (neg.f64 (log.f64 x)))
(*.f64 (log.f64 (/.f64 1 x)) x)
(neg.f64 (*.f64 x (log.f64 x)))
(*.f64 (log.f64 x) (neg.f64 x))
(*.f64 x (neg.f64 (log.f64 x)))
(*.f64 (log.f64 (/.f64 1 x)) x)
(neg.f64 (*.f64 x (log.f64 x)))
(*.f64 (log.f64 x) (neg.f64 x))
(*.f64 x (neg.f64 (log.f64 x)))
(*.f64 (log.f64 (/.f64 1 x)) x)
(neg.f64 (*.f64 x (log.f64 x)))
(*.f64 (log.f64 x) (neg.f64 x))
(*.f64 x (neg.f64 (log.f64 x)))
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x))
(*.f64 (neg.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) x)
(*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (neg.f64 x))
(*.f64 x (neg.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x))
(*.f64 (neg.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) x)
(*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (neg.f64 x))
(*.f64 x (neg.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x))
(*.f64 (neg.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) x)
(*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (neg.f64 x))
(*.f64 x (neg.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x))
(*.f64 (neg.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) x)
(*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (neg.f64 x))
(*.f64 x (neg.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))
(+.f64 (pow.f64 (log.f64 x) 3) 0)
(pow.f64 (log.f64 x) 3)
(+.f64 0 (pow.f64 (log.f64 x) 3))
(pow.f64 (log.f64 x) 3)
(-.f64 0 (pow.f64 (log.f64 x) 3))
(neg.f64 (pow.f64 (log.f64 x) 3))
(pow.f64 (neg.f64 (log.f64 x)) 3)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 x) 3))) 1)
(pow.f64 (log.f64 x) 3)
(-.f64 (/.f64 0 (pow.f64 (log.f64 x) 6)) (pow.f64 (log.f64 x) 3))
(neg.f64 (pow.f64 (log.f64 x) 3))
(pow.f64 (neg.f64 (log.f64 x)) 3)
(-.f64 (/.f64 0 (pow.f64 (log.f64 x) 3)) (pow.f64 (log.f64 x) 3))
(neg.f64 (pow.f64 (log.f64 x) 3))
(pow.f64 (neg.f64 (log.f64 x)) 3)
(*.f64 (log.f64 x) (pow.f64 (log.f64 x) 2))
(pow.f64 (log.f64 x) 3)
(*.f64 (pow.f64 (log.f64 x) 3) 1)
(pow.f64 (log.f64 x) 3)
(*.f64 (pow.f64 (log.f64 x) 2) (log.f64 x))
(pow.f64 (log.f64 x) 3)
(*.f64 1 (pow.f64 (log.f64 x) 3))
(pow.f64 (log.f64 x) 3)
(*.f64 (cbrt.f64 (pow.f64 (log.f64 x) 2)) (*.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (log.f64 x) 2)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 x) 2)) (*.f64 (pow.f64 (log.f64 x) 2) (cbrt.f64 (log.f64 x))))
(*.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (pow.f64 (log.f64 x) 2)) 4))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 x) 2)) (pow.f64 (cbrt.f64 (log.f64 x)) 7))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 x) 4)) (*.f64 (cbrt.f64 (pow.f64 (log.f64 x) 2)) (log.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 x) 4)) (*.f64 (log.f64 x) (cbrt.f64 (pow.f64 (log.f64 x) 2))))
(*.f64 (log.f64 x) (*.f64 (cbrt.f64 (pow.f64 (log.f64 x) 2)) (cbrt.f64 (pow.f64 (log.f64 x) 4))))
(*.f64 (pow.f64 (log.f64 x) 6) (/.f64 1 (pow.f64 (log.f64 x) 3)))
(pow.f64 (log.f64 x) 3)
(*.f64 (sqrt.f64 (log.f64 x)) (*.f64 (sqrt.f64 (log.f64 x)) (pow.f64 (log.f64 x) 2)))
(pow.f64 (log.f64 x) 3)
(*.f64 (pow.f64 (log.f64 x) 3/2) (pow.f64 (log.f64 x) 3/2))
(pow.f64 (log.f64 x) 3)
(*.f64 (pow.f64 (log.f64 x) 3/2) (neg.f64 (pow.f64 (log.f64 x) 3/2)))
(neg.f64 (pow.f64 (log.f64 x) 3))
(pow.f64 (neg.f64 (log.f64 x)) 3)
(*.f64 (pow.f64 (log.f64 x) 9) (/.f64 1 (pow.f64 (log.f64 x) 6)))
(/.f64 (pow.f64 (log.f64 x) 9) (pow.f64 (log.f64 x) 6))
(*.f64 -1 (pow.f64 (log.f64 x) 3))
(neg.f64 (pow.f64 (log.f64 x) 3))
(pow.f64 (neg.f64 (log.f64 x)) 3)
(*.f64 (pow.f64 (sqrt.f64 (log.f64 x)) 3) (pow.f64 (sqrt.f64 (log.f64 x)) 3))
(pow.f64 (log.f64 x) 3)
(*.f64 (*.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 x) 3)) (/.f64 1 (pow.f64 (log.f64 x) 2)))
(pow.f64 (log.f64 x) 3)
(*.f64 (neg.f64 (pow.f64 (log.f64 x) 3/2)) (pow.f64 (log.f64 x) 3/2))
(neg.f64 (pow.f64 (log.f64 x) 3))
(pow.f64 (neg.f64 (log.f64 x)) 3)
(*.f64 (*.f64 (pow.f64 (log.f64 x) 2) (cbrt.f64 (pow.f64 (log.f64 x) 2))) (cbrt.f64 (log.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 x) 2)) (*.f64 (pow.f64 (log.f64 x) 2) (cbrt.f64 (log.f64 x))))
(*.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (pow.f64 (log.f64 x) 2)) 4))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 x) 2)) (pow.f64 (cbrt.f64 (log.f64 x)) 7))
(*.f64 (*.f64 (pow.f64 (log.f64 x) 2) (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)))
(pow.f64 (log.f64 x) 3)
(*.f64 (*.f64 (log.f64 x) (cbrt.f64 (pow.f64 (log.f64 x) 4))) (cbrt.f64 (pow.f64 (log.f64 x) 2)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 x) 4)) (*.f64 (log.f64 x) (cbrt.f64 (pow.f64 (log.f64 x) 2))))
(*.f64 (log.f64 x) (*.f64 (cbrt.f64 (pow.f64 (log.f64 x) 2)) (cbrt.f64 (pow.f64 (log.f64 x) 4))))
(/.f64 (pow.f64 (log.f64 x) 2) (/.f64 1 (log.f64 x)))
(pow.f64 (log.f64 x) 3)
(/.f64 1 (/.f64 (pow.f64 (log.f64 x) 6) (pow.f64 (log.f64 x) 9)))
(*.f64 (pow.f64 (log.f64 x) 9) (/.f64 1 (pow.f64 (log.f64 x) 6)))
(/.f64 (pow.f64 (log.f64 x) 9) (pow.f64 (log.f64 x) 6))
(/.f64 1 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 x) 6)))
(pow.f64 (log.f64 x) 3)
(/.f64 (pow.f64 (log.f64 x) 6) (pow.f64 (log.f64 x) 3))
(pow.f64 (log.f64 x) 3)
(/.f64 (pow.f64 (log.f64 x) 9) (pow.f64 (log.f64 x) 6))
(*.f64 (pow.f64 (log.f64 x) 9) (/.f64 1 (pow.f64 (log.f64 x) 6)))
(/.f64 (pow.f64 (log.f64 x) 9) (+.f64 0 (-.f64 (pow.f64 (log.f64 x) 6) 0)))
(*.f64 (pow.f64 (log.f64 x) 9) (/.f64 1 (pow.f64 (log.f64 x) 6)))
(/.f64 (pow.f64 (log.f64 x) 9) (pow.f64 (log.f64 x) 6))
(/.f64 (*.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 x) 3)) (pow.f64 (log.f64 x) 2))
(pow.f64 (log.f64 x) 3)
(neg.f64 (pow.f64 (log.f64 x) 3))
(pow.f64 (neg.f64 (log.f64 x)) 3)
(sqrt.f64 (pow.f64 (log.f64 x) 6))
(log.f64 (exp.f64 (pow.f64 (log.f64 x) 3)))
(pow.f64 (log.f64 x) 3)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log.f64 x) 3))))
(pow.f64 (log.f64 x) 3)
(cbrt.f64 (pow.f64 (log.f64 x) 9))
(expm1.f64 (log1p.f64 (pow.f64 (log.f64 x) 3)))
(pow.f64 (log.f64 x) 3)
(exp.f64 (*.f64 3 (log.f64 (log.f64 x))))
(pow.f64 (log.f64 x) 3)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 x))) 1))
(pow.f64 (log.f64 x) 3)
(log1p.f64 (expm1.f64 (pow.f64 (log.f64 x) 3)))
(pow.f64 (log.f64 x) 3)
(+.f64 0 (pow.f64 (log.f64 x) 2))
(pow.f64 (log.f64 x) 2)
(+.f64 (pow.f64 (log.f64 x) 2) 0)
(pow.f64 (log.f64 x) 2)
(-.f64 0 (pow.f64 (log.f64 x) 2))
(neg.f64 (pow.f64 (log.f64 x) 2))
(-.f64 (pow.f64 (log.f64 x) 2) 0)
(pow.f64 (log.f64 x) 2)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 x) 2))) 1)
(pow.f64 (log.f64 x) 2)
(/.f64 (log.f64 x) (/.f64 1 (log.f64 x)))
(pow.f64 (log.f64 x) 2)
(/.f64 (pow.f64 (log.f64 x) 3) (*.f64 (pow.f64 (log.f64 x) 2) (/.f64 1 (log.f64 x))))
(pow.f64 (log.f64 x) 2)
(/.f64 (pow.f64 (log.f64 x) 3) (*.f64 (/.f64 1 (log.f64 x)) (pow.f64 (log.f64 x) 2)))
(pow.f64 (log.f64 x) 2)
(/.f64 1 (*.f64 (/.f64 1 (log.f64 x)) (/.f64 1 (log.f64 x))))
(pow.f64 (log.f64 x) 2)
(/.f64 1 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 (log.f64 x) 6)))
(pow.f64 (log.f64 x) 2)
(/.f64 1 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 x) 4)))
(pow.f64 (log.f64 x) 2)
(/.f64 (pow.f64 (log.f64 x) 6) (pow.f64 (log.f64 x) 4))
(pow.f64 (log.f64 x) 2)
(/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 (log.f64 x) 2))
(pow.f64 (log.f64 x) 2)
(/.f64 (-.f64 (pow.f64 (log.f64 x) 6) 0) (pow.f64 (log.f64 x) 4))
(pow.f64 (log.f64 x) 2)
(pow.f64 (log.f64 x) 2)
(pow.f64 (pow.f64 (log.f64 x) 2) 1)
(pow.f64 (log.f64 x) 2)
(pow.f64 (cbrt.f64 (pow.f64 (log.f64 x) 2)) 3)
(pow.f64 (log.f64 x) 2)
(pow.f64 (pow.f64 (log.f64 x) 6) 1/3)
(cbrt.f64 (pow.f64 (log.f64 x) 6))
(neg.f64 (pow.f64 (log.f64 x) 2))
(sqrt.f64 (pow.f64 (log.f64 x) 4))
(log.f64 (pow.f64 x (log.f64 x)))
(pow.f64 (log.f64 x) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log.f64 x) 2))))
(pow.f64 (log.f64 x) 2)
(log.f64 (/.f64 1 (pow.f64 x (log.f64 x))))
(neg.f64 (pow.f64 (log.f64 x) 2))
(cbrt.f64 (pow.f64 (log.f64 x) 6))
(expm1.f64 (log1p.f64 (pow.f64 (log.f64 x) 2)))
(pow.f64 (log.f64 x) 2)
(exp.f64 (*.f64 2 (log.f64 (log.f64 x))))
(pow.f64 (log.f64 x) 2)
(exp.f64 (*.f64 (*.f64 2 (log.f64 (log.f64 x))) 1))
(pow.f64 (log.f64 x) 2)
(exp.f64 (*.f64 (log.f64 (log.f64 x)) 2))
(pow.f64 (log.f64 x) 2)
(log1p.f64 (expm1.f64 (pow.f64 (log.f64 x) 2)))
(pow.f64 (log.f64 x) 2)
(fma.f64 (log.f64 x) (log.f64 x) 0)
(pow.f64 (log.f64 x) 2)
(fma.f64 1 (pow.f64 (log.f64 x) 2) 0)
(pow.f64 (log.f64 x) 2)
(fma.f64 (cbrt.f64 (pow.f64 (log.f64 x) 4)) (cbrt.f64 (pow.f64 (log.f64 x) 2)) 0)
(*.f64 (cbrt.f64 (pow.f64 (log.f64 x) 2)) (cbrt.f64 (pow.f64 (log.f64 x) 4)))
(+.f64 (log.f64 x) 0)
(log.f64 x)
(+.f64 0 (log.f64 x))
(log.f64 x)
(+.f64 (log.f64 (sqrt.f64 x)) (log.f64 (sqrt.f64 x)))
(*.f64 2 (log.f64 (sqrt.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 x) 2)) (log.f64 (cbrt.f64 x)))
(*.f64 3 (log.f64 (cbrt.f64 x)))
(-.f64 0 (log.f64 x))
(neg.f64 (log.f64 x))
(-.f64 (exp.f64 (log1p.f64 (log.f64 x))) 1)
(log.f64 x)
(*.f64 (log.f64 x) 1)
(log.f64 x)
(*.f64 (log.f64 x) (/.f64 (log.f64 x) (log.f64 x)))
(log.f64 x)
(*.f64 (pow.f64 (log.f64 x) 3) (/.f64 1 (pow.f64 (log.f64 x) 2)))
(log.f64 x)
(*.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 x) (/.f64 1 (pow.f64 (log.f64 x) 2))))
(log.f64 x)
(*.f64 1 (log.f64 x))
(log.f64 x)
(*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 (pow.f64 (log.f64 x) 2)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 x) 2)) (cbrt.f64 (log.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 x) 2)) (cbrt.f64 (log.f64 x)))
(*.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)))
(log.f64 x)
(*.f64 (pow.f64 (log.f64 x) 3/2) (*.f64 (pow.f64 (log.f64 x) 3/2) (/.f64 1 (pow.f64 (log.f64 x) 2))))
(log.f64 x)
(*.f64 (/.f64 1 (pow.f64 (log.f64 x) 2)) (pow.f64 (log.f64 x) 3))
(log.f64 x)
(*.f64 (/.f64 1 (log.f64 x)) (/.f64 (pow.f64 (log.f64 x) 3) (log.f64 x)))
(log.f64 x)
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (log.f64 x) 4))) (sqrt.f64 (cbrt.f64 (pow.f64 (log.f64 x) 2))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (log.f64 x) 4))) (/.f64 (pow.f64 (log.f64 x) 3) (cbrt.f64 (pow.f64 (log.f64 x) 2))))
(/.f64 (/.f64 (pow.f64 (log.f64 x) 3) (cbrt.f64 (pow.f64 (log.f64 x) 4))) (cbrt.f64 (pow.f64 (log.f64 x) 2)))
(/.f64 (/.f64 (pow.f64 (log.f64 x) 3) (cbrt.f64 (pow.f64 (log.f64 x) 2))) (cbrt.f64 (pow.f64 (log.f64 x) 4)))
(*.f64 (/.f64 (log.f64 x) 1) (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 x) 2)))
(log.f64 x)
(*.f64 (/.f64 (log.f64 x) (cbrt.f64 (pow.f64 (log.f64 x) 4))) (/.f64 (pow.f64 (log.f64 x) 2) (cbrt.f64 (pow.f64 (log.f64 x) 2))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (log.f64 x) 4))) (/.f64 (pow.f64 (log.f64 x) 3) (cbrt.f64 (pow.f64 (log.f64 x) 2))))
(/.f64 (/.f64 (pow.f64 (log.f64 x) 3) (cbrt.f64 (pow.f64 (log.f64 x) 4))) (cbrt.f64 (pow.f64 (log.f64 x) 2)))
(/.f64 (/.f64 (pow.f64 (log.f64 x) 3) (cbrt.f64 (pow.f64 (log.f64 x) 2))) (cbrt.f64 (pow.f64 (log.f64 x) 4)))
(*.f64 (/.f64 (log.f64 x) (log.f64 x)) (log.f64 x))
(log.f64 x)
(*.f64 (/.f64 (pow.f64 (log.f64 x) 3/2) 1) (/.f64 (pow.f64 (log.f64 x) 3/2) (pow.f64 (log.f64 x) 2)))
(log.f64 x)
(*.f64 (/.f64 (pow.f64 (log.f64 x) 3/2) (cbrt.f64 (pow.f64 (log.f64 x) 4))) (/.f64 (pow.f64 (log.f64 x) 3/2) (cbrt.f64 (pow.f64 (log.f64 x) 2))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (log.f64 x) 4))) (/.f64 (pow.f64 (log.f64 x) 3) (cbrt.f64 (pow.f64 (log.f64 x) 2))))
(/.f64 (/.f64 (pow.f64 (log.f64 x) 3) (cbrt.f64 (pow.f64 (log.f64 x) 4))) (cbrt.f64 (pow.f64 (log.f64 x) 2)))
(/.f64 (/.f64 (pow.f64 (log.f64 x) 3) (cbrt.f64 (pow.f64 (log.f64 x) 2))) (cbrt.f64 (pow.f64 (log.f64 x) 4)))
(*.f64 (/.f64 (pow.f64 (log.f64 x) 2) 1) (/.f64 (log.f64 x) (pow.f64 (log.f64 x) 2)))
(log.f64 x)
(*.f64 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 x) 6)) (pow.f64 (log.f64 x) 4))
(log.f64 x)
(*.f64 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 x) 4)) (pow.f64 (log.f64 x) 2))
(log.f64 x)
(pow.f64 (log.f64 x) 1)
(log.f64 x)
(pow.f64 (pow.f64 (log.f64 x) 3) 1/3)
(log.f64 x)
(pow.f64 (pow.f64 (log.f64 x) 2) 1/2)
(log.f64 x)
(pow.f64 (cbrt.f64 (log.f64 x)) 3)
(log.f64 x)
(pow.f64 (sqrt.f64 (log.f64 x)) 2)
(log.f64 x)
(pow.f64 (/.f64 1 (log.f64 x)) -1)
(log.f64 x)
(neg.f64 (log.f64 x))
(sqrt.f64 (pow.f64 (log.f64 x) 2))
(log.f64 x)
(fabs.f64 (log.f64 x))
(log.f64 x)
(log.f64 x)
(log.f64 (+.f64 1 (-.f64 x 1)))
(log1p.f64 (+.f64 x -1))
(log.f64 (+.f64 x 0))
(log1p.f64 (+.f64 -1 x))
(cbrt.f64 (pow.f64 (log.f64 x) 3))
(log.f64 x)
(expm1.f64 (log1p.f64 (log.f64 x)))
(log.f64 x)
(exp.f64 (log.f64 (log.f64 x)))
(log.f64 x)
(exp.f64 (*.f64 (log.f64 (log.f64 x)) 1))
(log.f64 x)
(log1p.f64 (-.f64 x 1))
(log1p.f64 (+.f64 x -1))
(log.f64 (+.f64 x 0))
(log1p.f64 (+.f64 -1 x))
(fma.f64 1 (log.f64 x) 0)
(log.f64 x)
(fma.f64 (cbrt.f64 (pow.f64 (log.f64 x) 2)) (cbrt.f64 (log.f64 x)) 0)
(*.f64 (cbrt.f64 (pow.f64 (log.f64 x) 2)) (cbrt.f64 (log.f64 x)))
(fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) 0)
(log.f64 x)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (log.f64 x)))) 1)
(*.f64 x (log.f64 x))
(/.f64 x (/.f64 1 (log.f64 x)))
(*.f64 x (log.f64 x))
(/.f64 (pow.f64 (log.f64 x) 3) (/.f64 (pow.f64 (log.f64 x) 2) x))
(*.f64 x (log.f64 x))
(/.f64 1 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 x (pow.f64 (log.f64 x) 3))))
(*.f64 x (log.f64 x))
(/.f64 (*.f64 x (pow.f64 (log.f64 x) 3)) (pow.f64 (log.f64 x) 2))
(*.f64 x (log.f64 x))
(/.f64 (/.f64 (*.f64 x (pow.f64 (log.f64 x) 3)) (log.f64 x)) (log.f64 x))
(*.f64 x (log.f64 x))
(/.f64 (/.f64 (*.f64 x (pow.f64 (log.f64 x) 3)) 1) (pow.f64 (log.f64 x) 2))
(*.f64 x (log.f64 x))
(/.f64 (/.f64 (*.f64 x (pow.f64 (log.f64 x) 3)) (cbrt.f64 (pow.f64 (log.f64 x) 4))) (cbrt.f64 (pow.f64 (log.f64 x) 2)))
(/.f64 (/.f64 x (/.f64 (cbrt.f64 (pow.f64 (log.f64 x) 4)) (pow.f64 (log.f64 x) 3))) (cbrt.f64 (pow.f64 (log.f64 x) 2)))
(*.f64 (/.f64 x (cbrt.f64 (pow.f64 (log.f64 x) 2))) (/.f64 (pow.f64 (log.f64 x) 3) (cbrt.f64 (pow.f64 (log.f64 x) 4))))
(*.f64 (/.f64 (pow.f64 (log.f64 x) 3) (cbrt.f64 (pow.f64 (log.f64 x) 2))) (/.f64 x (cbrt.f64 (pow.f64 (log.f64 x) 4))))
(pow.f64 (*.f64 x (log.f64 x)) 1)
(*.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 (sqrt.f64 (*.f64 x (log.f64 x))) 2)
(*.f64 x (log.f64 x))
(sqrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 2))
(fabs.f64 (*.f64 x (log.f64 x)))
(log.f64 (pow.f64 x x))
(*.f64 x (log.f64 x))
(log.f64 (+.f64 1 (-.f64 (pow.f64 x x) 1)))
(log1p.f64 (+.f64 (pow.f64 x x) -1))
(log.f64 (+.f64 (pow.f64 x x) 0))
(log1p.f64 (+.f64 -1 (pow.f64 x x)))
(cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3))
(*.f64 x (log.f64 x))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (log.f64 x) 3)))
(*.f64 x (log.f64 x))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 x) 3) (pow.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))
(exp.f64 (*.f64 (log.f64 (*.f64 x (log.f64 x))) 1))
(*.f64 x (log.f64 x))
(log1p.f64 (-.f64 (pow.f64 x x) 1))
(log1p.f64 (+.f64 (pow.f64 x x) -1))
(log.f64 (+.f64 (pow.f64 x x) 0))
(log1p.f64 (+.f64 -1 (pow.f64 x x)))

localize12.0ms (0.2%)

Local Accuracy

Found 2 expressions with local accuracy:

NewAccuracyProgram
99.5%
(*.f64 (*.f64 (log.f64 x) (sqrt.f64 x)) (sqrt.f64 x))
99.5%
(*.f64 (log.f64 x) (sqrt.f64 x))
Compiler

Compiled 19 to 5 computations (73.7% saved)

series3.0ms (0.1%)

Counts
2 → 12
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(*.f64 (*.f64 (log.f64 x) (sqrt.f64 x)) (sqrt.f64 x))
1.0ms
x
@-inf
(*.f64 (log.f64 x) (sqrt.f64 x))
1.0ms
x
@inf
(*.f64 (log.f64 x) (sqrt.f64 x))
1.0ms
x
@0
(*.f64 (log.f64 x) (sqrt.f64 x))
0.0ms
x
@inf
(*.f64 (*.f64 (log.f64 x) (sqrt.f64 x)) (sqrt.f64 x))

rewrite57.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
1402×pow1
1282×add-exp-log
1282×log1p-expm1-u
1282×expm1-log1p-u
1248×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0826
115426
2181526
Stop Event
node limit
Counts
2 → 22
Calls
Call 1
Inputs
(*.f64 (log.f64 x) (sqrt.f64 x))
(*.f64 (*.f64 (log.f64 x) (sqrt.f64 x)) (sqrt.f64 x))
Outputs
(-.f64 (+.f64 1 (*.f64 (log.f64 x) (sqrt.f64 x))) 1)
(pow.f64 (*.f64 (log.f64 x) (sqrt.f64 x)) 1)
(pow.f64 (cbrt.f64 (*.f64 (log.f64 x) (sqrt.f64 x))) 3)
(pow.f64 (pow.f64 (*.f64 (log.f64 x) (sqrt.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (log.f64 x) (sqrt.f64 x))) 2)
(sqrt.f64 (*.f64 x (pow.f64 (log.f64 x) 2)))
(log.f64 (pow.f64 x (sqrt.f64 x)))
(cbrt.f64 (pow.f64 (*.f64 (log.f64 x) (sqrt.f64 x)) 3))
(expm1.f64 (log1p.f64 (*.f64 (log.f64 x) (sqrt.f64 x))))
(exp.f64 (log.f64 (*.f64 (log.f64 x) (sqrt.f64 x))))
(log1p.f64 (-.f64 (pow.f64 x (sqrt.f64 x)) 1))
(-.f64 (+.f64 1 (*.f64 x (log.f64 x))) 1)
(pow.f64 (*.f64 x (log.f64 x)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3)
(pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 2))
(log.f64 (pow.f64 x 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 (-.f64 (pow.f64 x x) 1))

simplify64.0ms (1.2%)

Algorithm
egg-herbie
Rules
1300×log-prod
1214×fma-def
1148×fma-neg
992×associate-*r*
834×associate-*l*
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
069544
1168490
2620436
33637434
47945434
Stop Event
node limit
Counts
34 → 34
Calls
Call 1
Inputs
(*.f64 (log.f64 x) x)
(*.f64 (log.f64 x) x)
(*.f64 (log.f64 x) x)
(*.f64 (log.f64 x) x)
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x))
(*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)))
(*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)))
(*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)))
(*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)))
(-.f64 (+.f64 1 (*.f64 (log.f64 x) (sqrt.f64 x))) 1)
(pow.f64 (*.f64 (log.f64 x) (sqrt.f64 x)) 1)
(pow.f64 (cbrt.f64 (*.f64 (log.f64 x) (sqrt.f64 x))) 3)
(pow.f64 (pow.f64 (*.f64 (log.f64 x) (sqrt.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (log.f64 x) (sqrt.f64 x))) 2)
(sqrt.f64 (*.f64 x (pow.f64 (log.f64 x) 2)))
(log.f64 (pow.f64 x (sqrt.f64 x)))
(cbrt.f64 (pow.f64 (*.f64 (log.f64 x) (sqrt.f64 x)) 3))
(expm1.f64 (log1p.f64 (*.f64 (log.f64 x) (sqrt.f64 x))))
(exp.f64 (log.f64 (*.f64 (log.f64 x) (sqrt.f64 x))))
(log1p.f64 (-.f64 (pow.f64 x (sqrt.f64 x)) 1))
(-.f64 (+.f64 1 (*.f64 x (log.f64 x))) 1)
(pow.f64 (*.f64 x (log.f64 x)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3)
(pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 2))
(log.f64 (pow.f64 x 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 (-.f64 (pow.f64 x x) 1))
Outputs
(*.f64 (log.f64 x) x)
(*.f64 x (log.f64 x))
(*.f64 (log.f64 x) x)
(*.f64 x (log.f64 x))
(*.f64 (log.f64 x) x)
(*.f64 x (log.f64 x))
(*.f64 (log.f64 x) x)
(*.f64 x (log.f64 x))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x))
(*.f64 x (log.f64 x))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x))
(*.f64 x (log.f64 x))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x))
(*.f64 x (log.f64 x))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x))
(*.f64 x (log.f64 x))
(*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)))
(*.f64 x (log.f64 x))
(*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)))
(*.f64 x (log.f64 x))
(*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)))
(*.f64 x (log.f64 x))
(*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)))
(*.f64 x (log.f64 x))
(-.f64 (+.f64 1 (*.f64 (log.f64 x) (sqrt.f64 x))) 1)
(+.f64 1 (-.f64 (*.f64 (log.f64 x) (sqrt.f64 x)) 1))
(+.f64 (*.f64 (log.f64 x) (sqrt.f64 x)) 0)
(*.f64 (log.f64 x) (sqrt.f64 x))
(pow.f64 (*.f64 (log.f64 x) (sqrt.f64 x)) 1)
(+.f64 1 (-.f64 (*.f64 (log.f64 x) (sqrt.f64 x)) 1))
(+.f64 (*.f64 (log.f64 x) (sqrt.f64 x)) 0)
(*.f64 (log.f64 x) (sqrt.f64 x))
(pow.f64 (cbrt.f64 (*.f64 (log.f64 x) (sqrt.f64 x))) 3)
(+.f64 1 (-.f64 (*.f64 (log.f64 x) (sqrt.f64 x)) 1))
(+.f64 (*.f64 (log.f64 x) (sqrt.f64 x)) 0)
(*.f64 (log.f64 x) (sqrt.f64 x))
(pow.f64 (pow.f64 (*.f64 (log.f64 x) (sqrt.f64 x)) 3) 1/3)
(+.f64 1 (-.f64 (*.f64 (log.f64 x) (sqrt.f64 x)) 1))
(+.f64 (*.f64 (log.f64 x) (sqrt.f64 x)) 0)
(*.f64 (log.f64 x) (sqrt.f64 x))
(pow.f64 (sqrt.f64 (*.f64 (log.f64 x) (sqrt.f64 x))) 2)
(+.f64 1 (-.f64 (*.f64 (log.f64 x) (sqrt.f64 x)) 1))
(+.f64 (*.f64 (log.f64 x) (sqrt.f64 x)) 0)
(*.f64 (log.f64 x) (sqrt.f64 x))
(sqrt.f64 (*.f64 x (pow.f64 (log.f64 x) 2)))
(fabs.f64 (*.f64 (log.f64 x) (sqrt.f64 x)))
(log.f64 (pow.f64 x (sqrt.f64 x)))
(+.f64 1 (-.f64 (*.f64 (log.f64 x) (sqrt.f64 x)) 1))
(+.f64 (*.f64 (log.f64 x) (sqrt.f64 x)) 0)
(*.f64 (log.f64 x) (sqrt.f64 x))
(cbrt.f64 (pow.f64 (*.f64 (log.f64 x) (sqrt.f64 x)) 3))
(+.f64 1 (-.f64 (*.f64 (log.f64 x) (sqrt.f64 x)) 1))
(+.f64 (*.f64 (log.f64 x) (sqrt.f64 x)) 0)
(*.f64 (log.f64 x) (sqrt.f64 x))
(expm1.f64 (log1p.f64 (*.f64 (log.f64 x) (sqrt.f64 x))))
(+.f64 1 (-.f64 (*.f64 (log.f64 x) (sqrt.f64 x)) 1))
(+.f64 (*.f64 (log.f64 x) (sqrt.f64 x)) 0)
(*.f64 (log.f64 x) (sqrt.f64 x))
(exp.f64 (log.f64 (*.f64 (log.f64 x) (sqrt.f64 x))))
(+.f64 1 (-.f64 (*.f64 (log.f64 x) (sqrt.f64 x)) 1))
(+.f64 (*.f64 (log.f64 x) (sqrt.f64 x)) 0)
(*.f64 (log.f64 x) (sqrt.f64 x))
(log1p.f64 (-.f64 (pow.f64 x (sqrt.f64 x)) 1))
(log1p.f64 (+.f64 (pow.f64 x (sqrt.f64 x)) -1))
(log1p.f64 (+.f64 -1 (pow.f64 x (sqrt.f64 x))))
(-.f64 (+.f64 1 (*.f64 x (log.f64 x))) 1)
(*.f64 x (log.f64 x))
(pow.f64 (*.f64 x (log.f64 x)) 1)
(*.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 (sqrt.f64 (*.f64 x (log.f64 x))) 2)
(*.f64 x (log.f64 x))
(sqrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 2))
(*.f64 x (log.f64 x))
(log.f64 (pow.f64 x 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))
(log1p.f64 (-.f64 (pow.f64 x x) 1))
(log1p.f64 (+.f64 (pow.f64 x x) -1))
(log1p.f64 (+.f64 -1 (pow.f64 x x)))

localize12.0ms (0.2%)

Local Accuracy

Found 3 expressions with local accuracy:

NewAccuracyProgram
99.9%
(sqrt.f64 (*.f64 x (neg.f64 (log.f64 x))))
99.6%
(pow.f64 (sqrt.f64 (*.f64 x (neg.f64 (log.f64 x)))) 2)
99.5%
(*.f64 x (neg.f64 (log.f64 x)))
Compiler

Compiled 38 to 13 computations (65.8% saved)

series23.0ms (0.4%)

Counts
3 → 12
Calls

9 calls:

TimeVariablePointExpression
14.0ms
x
@0
(*.f64 x (neg.f64 (log.f64 x)))
6.0ms
x
@0
(pow.f64 (sqrt.f64 (*.f64 x (neg.f64 (log.f64 x)))) 2)
1.0ms
x
@-inf
(pow.f64 (sqrt.f64 (*.f64 x (neg.f64 (log.f64 x)))) 2)
1.0ms
x
@inf
(pow.f64 (sqrt.f64 (*.f64 x (neg.f64 (log.f64 x)))) 2)
0.0ms
x
@inf
(sqrt.f64 (*.f64 x (neg.f64 (log.f64 x))))

rewrite113.0ms (2.1%)

Algorithm
batch-egg-rewrite
Rules
1420×pow1
1308×add-exp-log
1306×log1p-expm1-u
1306×expm1-log1p-u
1272×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01049
120637
2219637
Stop Event
node limit
Counts
3 → 69
Calls
Call 1
Inputs
(*.f64 x (neg.f64 (log.f64 x)))
(pow.f64 (sqrt.f64 (*.f64 x (neg.f64 (log.f64 x)))) 2)
(sqrt.f64 (*.f64 x (neg.f64 (log.f64 x))))
Outputs
(-.f64 0 (*.f64 x (log.f64 x)))
(-.f64 (+.f64 1 (*.f64 x (log.f64 x))) 1)
(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)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) 1/3)
(neg.f64 (*.f64 x (log.f64 x)))
(sqrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 2))
(log.f64 (pow.f64 x 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 (-.f64 (pow.f64 x x) 1))
(-.f64 0 (*.f64 x (log.f64 x)))
(-.f64 (+.f64 1 (*.f64 x (log.f64 x))) 1)
(*.f64 x (log.f64 x))
(*.f64 (log.f64 x) x)
(*.f64 (*.f64 x (log.f64 x)) 1)
(*.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (sqrt.f64 (*.f64 x (log.f64 x))))
(*.f64 1 (*.f64 x (log.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (*.f64 (cbrt.f64 (log.f64 x)) x))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (log.f64 x)))
(*.f64 (cbrt.f64 (*.f64 x (log.f64 x))) (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2))
(*.f64 (cbrt.f64 (*.f64 x (log.f64 x))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (log.f64 x)))) (sqrt.f64 (*.f64 x (log.f64 x)))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) (cbrt.f64 (*.f64 x (log.f64 x))))
(*.f64 (pow.f64 (*.f64 x (log.f64 x)) 1/4) (*.f64 (pow.f64 (*.f64 x (log.f64 x)) 1/4) (sqrt.f64 (*.f64 x (log.f64 x)))))
(*.f64 (sqrt.f64 (log.f64 x)) (*.f64 (sqrt.f64 (log.f64 x)) x))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (log.f64 x)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (*.f64 x (log.f64 x)))))
(*.f64 -1 (*.f64 x (log.f64 x)))
(*.f64 (*.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (pow.f64 (*.f64 x (log.f64 x)) 1/4)) (pow.f64 (*.f64 x (log.f64 x)) 1/4))
(*.f64 (neg.f64 x) (log.f64 x))
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x)))
(*.f64 (*.f64 x (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)))
(*.f64 (*.f64 x -1) (log.f64 x))
(*.f64 (*.f64 (log.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (*.f64 (log.f64 x) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (*.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (cbrt.f64 (*.f64 x (log.f64 x)))) (cbrt.f64 (sqrt.f64 (*.f64 x (log.f64 x)))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (sqrt.f64 x)) (sqrt.f64 (log.f64 x)))
(neg.f64 (*.f64 x (log.f64 x)))
(sqrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 2))
(log.f64 (pow.f64 x 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 (-.f64 (pow.f64 x x) 1))
(-.f64 (+.f64 1 (sqrt.f64 (*.f64 x (log.f64 x)))) 1)
(*.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 1)
(*.f64 1 (sqrt.f64 (*.f64 x (log.f64 x))))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (log.f64 x)))) (cbrt.f64 (*.f64 x (log.f64 x))))
(*.f64 (cbrt.f64 (*.f64 x (log.f64 x))) (cbrt.f64 (sqrt.f64 (*.f64 x (log.f64 x)))))
(*.f64 (pow.f64 (*.f64 x (log.f64 x)) 1/4) (pow.f64 (*.f64 x (log.f64 x)) 1/4))
(*.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 (log.f64 x)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 x (log.f64 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 1/2))
(pow.f64 (*.f64 x (log.f64 x)) 1/2)
(pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (log.f64 x)))) 3)
(pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 3/2) 1/3)
(pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 1/4) 2)
(fabs.f64 (sqrt.f64 (*.f64 x (log.f64 x))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 x (log.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 x (log.f64 x)))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 x (log.f64 x)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 x (log.f64 x)))))

simplify76.0ms (1.4%)

Algorithm
egg-herbie
Rules
1944×fma-def
1524×log-prod
766×fma-neg
618×cube-prod
524×exp-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01291803
12651467
29811131
332651131
463781131
Stop Event
node limit
Counts
81 → 74
Calls
Call 1
Inputs
(*.f64 -1 (*.f64 x (log.f64 x)))
(*.f64 -1 (*.f64 x (log.f64 x)))
(*.f64 -1 (*.f64 x (log.f64 x)))
(*.f64 -1 (*.f64 x (log.f64 x)))
(*.f64 (log.f64 (/.f64 1 x)) x)
(*.f64 (log.f64 (/.f64 1 x)) x)
(*.f64 (log.f64 (/.f64 1 x)) x)
(*.f64 (log.f64 (/.f64 1 x)) x)
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x))
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x))
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x))
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x))
(-.f64 0 (*.f64 x (log.f64 x)))
(-.f64 (+.f64 1 (*.f64 x (log.f64 x))) 1)
(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)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) 1/3)
(neg.f64 (*.f64 x (log.f64 x)))
(sqrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 2))
(log.f64 (pow.f64 x 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 (-.f64 (pow.f64 x x) 1))
(-.f64 0 (*.f64 x (log.f64 x)))
(-.f64 (+.f64 1 (*.f64 x (log.f64 x))) 1)
(*.f64 x (log.f64 x))
(*.f64 (log.f64 x) x)
(*.f64 (*.f64 x (log.f64 x)) 1)
(*.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (sqrt.f64 (*.f64 x (log.f64 x))))
(*.f64 1 (*.f64 x (log.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (*.f64 (cbrt.f64 (log.f64 x)) x))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (log.f64 x)))
(*.f64 (cbrt.f64 (*.f64 x (log.f64 x))) (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2))
(*.f64 (cbrt.f64 (*.f64 x (log.f64 x))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (log.f64 x)))) (sqrt.f64 (*.f64 x (log.f64 x)))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) (cbrt.f64 (*.f64 x (log.f64 x))))
(*.f64 (pow.f64 (*.f64 x (log.f64 x)) 1/4) (*.f64 (pow.f64 (*.f64 x (log.f64 x)) 1/4) (sqrt.f64 (*.f64 x (log.f64 x)))))
(*.f64 (sqrt.f64 (log.f64 x)) (*.f64 (sqrt.f64 (log.f64 x)) x))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (log.f64 x)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (*.f64 x (log.f64 x)))))
(*.f64 -1 (*.f64 x (log.f64 x)))
(*.f64 (*.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (pow.f64 (*.f64 x (log.f64 x)) 1/4)) (pow.f64 (*.f64 x (log.f64 x)) 1/4))
(*.f64 (neg.f64 x) (log.f64 x))
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x)))
(*.f64 (*.f64 x (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)))
(*.f64 (*.f64 x -1) (log.f64 x))
(*.f64 (*.f64 (log.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (*.f64 (log.f64 x) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (*.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (cbrt.f64 (*.f64 x (log.f64 x)))) (cbrt.f64 (sqrt.f64 (*.f64 x (log.f64 x)))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (sqrt.f64 x)) (sqrt.f64 (log.f64 x)))
(neg.f64 (*.f64 x (log.f64 x)))
(sqrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 2))
(log.f64 (pow.f64 x 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 (-.f64 (pow.f64 x x) 1))
(-.f64 (+.f64 1 (sqrt.f64 (*.f64 x (log.f64 x)))) 1)
(*.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 1)
(*.f64 1 (sqrt.f64 (*.f64 x (log.f64 x))))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (log.f64 x)))) (cbrt.f64 (*.f64 x (log.f64 x))))
(*.f64 (cbrt.f64 (*.f64 x (log.f64 x))) (cbrt.f64 (sqrt.f64 (*.f64 x (log.f64 x)))))
(*.f64 (pow.f64 (*.f64 x (log.f64 x)) 1/4) (pow.f64 (*.f64 x (log.f64 x)) 1/4))
(*.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 (log.f64 x)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 x (log.f64 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 1/2))
(pow.f64 (*.f64 x (log.f64 x)) 1/2)
(pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (log.f64 x)))) 3)
(pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 3/2) 1/3)
(pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 1/4) 2)
(fabs.f64 (sqrt.f64 (*.f64 x (log.f64 x))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 x (log.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 x (log.f64 x)))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 x (log.f64 x)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 x (log.f64 x)))))
Outputs
(*.f64 -1 (*.f64 x (log.f64 x)))
(*.f64 x (neg.f64 (log.f64 x)))
(*.f64 (log.f64 x) (neg.f64 x))
(*.f64 -1 (*.f64 x (log.f64 x)))
(*.f64 x (neg.f64 (log.f64 x)))
(*.f64 (log.f64 x) (neg.f64 x))
(*.f64 -1 (*.f64 x (log.f64 x)))
(*.f64 x (neg.f64 (log.f64 x)))
(*.f64 (log.f64 x) (neg.f64 x))
(*.f64 -1 (*.f64 x (log.f64 x)))
(*.f64 x (neg.f64 (log.f64 x)))
(*.f64 (log.f64 x) (neg.f64 x))
(*.f64 (log.f64 (/.f64 1 x)) x)
(*.f64 x (neg.f64 (log.f64 x)))
(*.f64 (log.f64 x) (neg.f64 x))
(*.f64 (log.f64 (/.f64 1 x)) x)
(*.f64 x (neg.f64 (log.f64 x)))
(*.f64 (log.f64 x) (neg.f64 x))
(*.f64 (log.f64 (/.f64 1 x)) x)
(*.f64 x (neg.f64 (log.f64 x)))
(*.f64 (log.f64 x) (neg.f64 x))
(*.f64 (log.f64 (/.f64 1 x)) x)
(*.f64 x (neg.f64 (log.f64 x)))
(*.f64 (log.f64 x) (neg.f64 x))
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x))
(*.f64 x (neg.f64 (log.f64 x)))
(*.f64 (log.f64 x) (neg.f64 x))
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x))
(*.f64 x (neg.f64 (log.f64 x)))
(*.f64 (log.f64 x) (neg.f64 x))
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x))
(*.f64 x (neg.f64 (log.f64 x)))
(*.f64 (log.f64 x) (neg.f64 x))
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x))
(*.f64 x (neg.f64 (log.f64 x)))
(*.f64 (log.f64 x) (neg.f64 x))
(-.f64 0 (*.f64 x (log.f64 x)))
(*.f64 x (neg.f64 (log.f64 x)))
(*.f64 (log.f64 x) (neg.f64 x))
(-.f64 (+.f64 1 (*.f64 x (log.f64 x))) 1)
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1))
(+.f64 (*.f64 x (log.f64 x)) 0)
(*.f64 x (log.f64 x))
(pow.f64 (*.f64 x (log.f64 x)) 1)
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1))
(+.f64 (*.f64 x (log.f64 x)) 0)
(*.f64 x (log.f64 x))
(pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 2)
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1))
(+.f64 (*.f64 x (log.f64 x)) 0)
(*.f64 x (log.f64 x))
(pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3)
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1))
(+.f64 (*.f64 x (log.f64 x)) 0)
(*.f64 x (log.f64 x))
(pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) 1/2)
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1))
(+.f64 (*.f64 x (log.f64 x)) 0)
(*.f64 x (log.f64 x))
(pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) 1/3)
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1))
(+.f64 (*.f64 x (log.f64 x)) 0)
(*.f64 x (log.f64 x))
(neg.f64 (*.f64 x (log.f64 x)))
(*.f64 x (neg.f64 (log.f64 x)))
(*.f64 (log.f64 x) (neg.f64 x))
(sqrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 2))
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1))
(+.f64 (*.f64 x (log.f64 x)) 0)
(*.f64 x (log.f64 x))
(log.f64 (pow.f64 x x))
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1))
(+.f64 (*.f64 x (log.f64 x)) 0)
(*.f64 x (log.f64 x))
(cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3))
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1))
(+.f64 (*.f64 x (log.f64 x)) 0)
(*.f64 x (log.f64 x))
(expm1.f64 (log1p.f64 (*.f64 x (log.f64 x))))
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1))
(+.f64 (*.f64 x (log.f64 x)) 0)
(*.f64 x (log.f64 x))
(exp.f64 (log.f64 (*.f64 x (log.f64 x))))
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1))
(+.f64 (*.f64 x (log.f64 x)) 0)
(*.f64 x (log.f64 x))
(log1p.f64 (-.f64 (pow.f64 x x) 1))
(log1p.f64 (+.f64 (pow.f64 x x) -1))
(log1p.f64 (+.f64 -1 (pow.f64 x x)))
(-.f64 0 (*.f64 x (log.f64 x)))
(*.f64 x (neg.f64 (log.f64 x)))
(*.f64 (log.f64 x) (neg.f64 x))
(-.f64 (+.f64 1 (*.f64 x (log.f64 x))) 1)
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1))
(+.f64 (*.f64 x (log.f64 x)) 0)
(*.f64 x (log.f64 x))
(*.f64 x (log.f64 x))
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1))
(+.f64 (*.f64 x (log.f64 x)) 0)
(*.f64 (log.f64 x) x)
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1))
(+.f64 (*.f64 x (log.f64 x)) 0)
(*.f64 x (log.f64 x))
(*.f64 (*.f64 x (log.f64 x)) 1)
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1))
(+.f64 (*.f64 x (log.f64 x)) 0)
(*.f64 x (log.f64 x))
(*.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (sqrt.f64 (*.f64 x (log.f64 x))))
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1))
(+.f64 (*.f64 x (log.f64 x)) 0)
(*.f64 x (log.f64 x))
(*.f64 1 (*.f64 x (log.f64 x)))
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1))
(+.f64 (*.f64 x (log.f64 x)) 0)
(*.f64 x (log.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (*.f64 (cbrt.f64 (log.f64 x)) x))
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1))
(+.f64 (*.f64 x (log.f64 x)) 0)
(*.f64 x (log.f64 x))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (log.f64 x)))
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1))
(+.f64 (*.f64 x (log.f64 x)) 0)
(*.f64 x (log.f64 x))
(*.f64 (cbrt.f64 (*.f64 x (log.f64 x))) (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2))
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1))
(+.f64 (*.f64 x (log.f64 x)) 0)
(*.f64 x (log.f64 x))
(*.f64 (cbrt.f64 (*.f64 x (log.f64 x))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (log.f64 x)))) (sqrt.f64 (*.f64 x (log.f64 x)))))
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1))
(+.f64 (*.f64 x (log.f64 x)) 0)
(*.f64 x (log.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) (cbrt.f64 (*.f64 x (log.f64 x))))
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1))
(+.f64 (*.f64 x (log.f64 x)) 0)
(*.f64 x (log.f64 x))
(*.f64 (pow.f64 (*.f64 x (log.f64 x)) 1/4) (*.f64 (pow.f64 (*.f64 x (log.f64 x)) 1/4) (sqrt.f64 (*.f64 x (log.f64 x)))))
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1))
(+.f64 (*.f64 x (log.f64 x)) 0)
(*.f64 x (log.f64 x))
(*.f64 (sqrt.f64 (log.f64 x)) (*.f64 (sqrt.f64 (log.f64 x)) x))
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1))
(+.f64 (*.f64 x (log.f64 x)) 0)
(*.f64 x (log.f64 x))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (log.f64 x)))
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1))
(+.f64 (*.f64 x (log.f64 x)) 0)
(*.f64 x (log.f64 x))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (*.f64 x (log.f64 x)))))
(*.f64 (*.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 x)) (sqrt.f64 (*.f64 x (log.f64 x))))
(*.f64 (sqrt.f64 (log.f64 x)) (*.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (sqrt.f64 x)))
(*.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (*.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 x)))
(*.f64 -1 (*.f64 x (log.f64 x)))
(*.f64 x (neg.f64 (log.f64 x)))
(*.f64 (log.f64 x) (neg.f64 x))
(*.f64 (*.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (pow.f64 (*.f64 x (log.f64 x)) 1/4)) (pow.f64 (*.f64 x (log.f64 x)) 1/4))
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1))
(+.f64 (*.f64 x (log.f64 x)) 0)
(*.f64 x (log.f64 x))
(*.f64 (neg.f64 x) (log.f64 x))
(*.f64 x (neg.f64 (log.f64 x)))
(*.f64 (log.f64 x) (neg.f64 x))
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x)))
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1))
(+.f64 (*.f64 x (log.f64 x)) 0)
(*.f64 x (log.f64 x))
(*.f64 (*.f64 x (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)))
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1))
(+.f64 (*.f64 x (log.f64 x)) 0)
(*.f64 x (log.f64 x))
(*.f64 (*.f64 x -1) (log.f64 x))
(*.f64 x (neg.f64 (log.f64 x)))
(*.f64 (log.f64 x) (neg.f64 x))
(*.f64 (*.f64 (log.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1))
(+.f64 (*.f64 x (log.f64 x)) 0)
(*.f64 x (log.f64 x))
(*.f64 (*.f64 (log.f64 x) (sqrt.f64 x)) (sqrt.f64 x))
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1))
(+.f64 (*.f64 x (log.f64 x)) 0)
(*.f64 x (log.f64 x))
(*.f64 (*.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (cbrt.f64 (*.f64 x (log.f64 x)))) (cbrt.f64 (sqrt.f64 (*.f64 x (log.f64 x)))))
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1))
(+.f64 (*.f64 x (log.f64 x)) 0)
(*.f64 x (log.f64 x))
(*.f64 (*.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (sqrt.f64 x)) (sqrt.f64 (log.f64 x)))
(*.f64 (*.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 x)) (sqrt.f64 (*.f64 x (log.f64 x))))
(*.f64 (sqrt.f64 (log.f64 x)) (*.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (sqrt.f64 x)))
(*.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (*.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 x)))
(neg.f64 (*.f64 x (log.f64 x)))
(*.f64 x (neg.f64 (log.f64 x)))
(*.f64 (log.f64 x) (neg.f64 x))
(sqrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 2))
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1))
(+.f64 (*.f64 x (log.f64 x)) 0)
(*.f64 x (log.f64 x))
(log.f64 (pow.f64 x x))
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1))
(+.f64 (*.f64 x (log.f64 x)) 0)
(*.f64 x (log.f64 x))
(cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3))
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1))
(+.f64 (*.f64 x (log.f64 x)) 0)
(*.f64 x (log.f64 x))
(expm1.f64 (log1p.f64 (*.f64 x (log.f64 x))))
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1))
(+.f64 (*.f64 x (log.f64 x)) 0)
(*.f64 x (log.f64 x))
(exp.f64 (log.f64 (*.f64 x (log.f64 x))))
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1))
(+.f64 (*.f64 x (log.f64 x)) 0)
(*.f64 x (log.f64 x))
(log1p.f64 (-.f64 (pow.f64 x x) 1))
(log1p.f64 (+.f64 (pow.f64 x x) -1))
(log1p.f64 (+.f64 -1 (pow.f64 x x)))
(-.f64 (+.f64 1 (sqrt.f64 (*.f64 x (log.f64 x)))) 1)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 1))
(+.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 0)
(sqrt.f64 (*.f64 x (log.f64 x)))
(*.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 1)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 1))
(+.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 0)
(sqrt.f64 (*.f64 x (log.f64 x)))
(*.f64 1 (sqrt.f64 (*.f64 x (log.f64 x))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 1))
(+.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 0)
(sqrt.f64 (*.f64 x (log.f64 x)))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (log.f64 x)))) (cbrt.f64 (*.f64 x (log.f64 x))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 1))
(+.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 0)
(sqrt.f64 (*.f64 x (log.f64 x)))
(*.f64 (cbrt.f64 (*.f64 x (log.f64 x))) (cbrt.f64 (sqrt.f64 (*.f64 x (log.f64 x)))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 1))
(+.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 0)
(sqrt.f64 (*.f64 x (log.f64 x)))
(*.f64 (pow.f64 (*.f64 x (log.f64 x)) 1/4) (pow.f64 (*.f64 x (log.f64 x)) 1/4))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 1))
(+.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 0)
(sqrt.f64 (*.f64 x (log.f64 x)))
(*.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 (log.f64 x)))
(*.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 x))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 1))
(+.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 0)
(sqrt.f64 (*.f64 x (log.f64 x)))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 x (log.f64 x))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 1))
(+.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 0)
(sqrt.f64 (*.f64 x (log.f64 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 1/2))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 1))
(+.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 0)
(sqrt.f64 (*.f64 x (log.f64 x)))
(pow.f64 (*.f64 x (log.f64 x)) 1/2)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 1))
(+.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 0)
(sqrt.f64 (*.f64 x (log.f64 x)))
(pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 1)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 1))
(+.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 0)
(sqrt.f64 (*.f64 x (log.f64 x)))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (log.f64 x)))) 3)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 1))
(+.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 0)
(sqrt.f64 (*.f64 x (log.f64 x)))
(pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 3/2) 1/3)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 1))
(+.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 0)
(sqrt.f64 (*.f64 x (log.f64 x)))
(pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 1/4) 2)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 1))
(+.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 0)
(sqrt.f64 (*.f64 x (log.f64 x)))
(fabs.f64 (sqrt.f64 (*.f64 x (log.f64 x))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 1))
(+.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 0)
(sqrt.f64 (*.f64 x (log.f64 x)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 x (log.f64 x)))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 1))
(+.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 0)
(sqrt.f64 (*.f64 x (log.f64 x)))
(cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3/2))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 1))
(+.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 0)
(sqrt.f64 (*.f64 x (log.f64 x)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 x (log.f64 x)))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 1))
(+.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 0)
(sqrt.f64 (*.f64 x (log.f64 x)))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 x (log.f64 x)))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 1))
(+.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 0)
(sqrt.f64 (*.f64 x (log.f64 x)))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 x (log.f64 x)))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 1))
(+.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 0)
(sqrt.f64 (*.f64 x (log.f64 x)))

localize7.0ms (0.1%)

Local Accuracy

Found 3 expressions with local accuracy:

NewAccuracyProgram
99.9%
(sqrt.f64 (log.f64 x))
99.8%
(*.f64 x (sqrt.f64 (log.f64 x)))
99.7%
(*.f64 (*.f64 x (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)))
Compiler

Compiled 21 to 5 computations (76.2% saved)

series2.0ms (0%)

Counts
3 → 32
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(*.f64 x (sqrt.f64 (log.f64 x)))
0.0ms
x
@inf
(*.f64 x (sqrt.f64 (log.f64 x)))
0.0ms
x
@0
(*.f64 x (sqrt.f64 (log.f64 x)))
0.0ms
x
@0
(*.f64 (*.f64 x (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)))
0.0ms
x
@-inf
(*.f64 (*.f64 x (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)))

rewrite106.0ms (1.9%)

Algorithm
batch-egg-rewrite
Rules
1402×pow1
1282×add-exp-log
1282×log1p-expm1-u
1282×expm1-log1p-u
1248×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0835
115435
2181635
Stop Event
node limit
Counts
3 → 42
Calls
Call 1
Inputs
(*.f64 (*.f64 x (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)))
(*.f64 x (sqrt.f64 (log.f64 x)))
(sqrt.f64 (log.f64 x))
Outputs
(-.f64 (+.f64 1 (*.f64 x (log.f64 x))) 1)
(pow.f64 (*.f64 x (log.f64 x)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3)
(pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 2))
(log.f64 (pow.f64 (exp.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 (*.f64 x (sqrt.f64 (log.f64 x)))) 1)
(pow.f64 (*.f64 x (sqrt.f64 (log.f64 x))) 1)
(pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 (log.f64 x)))) 3)
(pow.f64 (pow.f64 (*.f64 x (sqrt.f64 (log.f64 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (log.f64 x)))) 2)
(sqrt.f64 (*.f64 (log.f64 x) (*.f64 x x)))
(log.f64 (pow.f64 (exp.f64 x) (sqrt.f64 (log.f64 x))))
(cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (log.f64 x))) 3))
(expm1.f64 (log1p.f64 (*.f64 x (sqrt.f64 (log.f64 x)))))
(exp.f64 (log.f64 (*.f64 x (sqrt.f64 (log.f64 x)))))
(log1p.f64 (expm1.f64 (*.f64 x (sqrt.f64 (log.f64 x)))))
(-.f64 (+.f64 1 (sqrt.f64 (log.f64 x))) 1)
(*.f64 (sqrt.f64 (log.f64 x)) 1)
(*.f64 1 (sqrt.f64 (log.f64 x)))
(*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 (sqrt.f64 (log.f64 x))))
(*.f64 (cbrt.f64 (sqrt.f64 (log.f64 x))) (cbrt.f64 (log.f64 x)))
(*.f64 (pow.f64 (log.f64 x) 1/4) (pow.f64 (log.f64 x) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (sqrt.f64 (cbrt.f64 (log.f64 x))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (log.f64 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) 1/2) (pow.f64 (cbrt.f64 (log.f64 x)) 1/2))
(pow.f64 (log.f64 x) 1/2)
(pow.f64 (sqrt.f64 (log.f64 x)) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (log.f64 x))) 3)
(pow.f64 (pow.f64 (log.f64 x) 3/2) 1/3)
(pow.f64 (pow.f64 (log.f64 x) 1/4) 2)
(fabs.f64 (sqrt.f64 (log.f64 x)))
(log.f64 (exp.f64 (sqrt.f64 (log.f64 x))))
(cbrt.f64 (pow.f64 (log.f64 x) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (log.f64 x))))
(exp.f64 (log.f64 (sqrt.f64 (log.f64 x))))
(log1p.f64 (expm1.f64 (sqrt.f64 (log.f64 x))))

simplify52.0ms (0.9%)

Algorithm
egg-herbie
Rules
1694×fma-def
1066×distribute-rgt-in
1030×distribute-lft-in
804×log-prod
688×associate-+r+
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01121396
12391344
28181336
32888990
Stop Event
node limit
Counts
74 → 63
Calls
Call 1
Inputs
(*.f64 (log.f64 x) x)
(*.f64 (log.f64 x) x)
(*.f64 (log.f64 x) x)
(*.f64 (log.f64 x) x)
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x))
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)
(*.f64 (sqrt.f64 (log.f64 x)) x)
(*.f64 (sqrt.f64 (log.f64 x)) x)
(*.f64 (sqrt.f64 (log.f64 x)) x)
(*.f64 (sqrt.f64 (log.f64 x)) x)
(*.f64 (*.f64 (sqrt.f64 -1) x) (sqrt.f64 (log.f64 (/.f64 1 x))))
(*.f64 (*.f64 (sqrt.f64 -1) x) (sqrt.f64 (log.f64 (/.f64 1 x))))
(*.f64 (*.f64 (sqrt.f64 -1) x) (sqrt.f64 (log.f64 (/.f64 1 x))))
(*.f64 (*.f64 (sqrt.f64 -1) x) (sqrt.f64 (log.f64 (/.f64 1 x))))
(*.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) x)
(*.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) x)
(*.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) x)
(*.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) x)
(*.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 (/.f64 1 x))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 (/.f64 1 x))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 (/.f64 1 x))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 (/.f64 1 x))))
(sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(-.f64 (+.f64 1 (*.f64 x (log.f64 x))) 1)
(pow.f64 (*.f64 x (log.f64 x)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3)
(pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 2))
(log.f64 (pow.f64 (exp.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 (*.f64 x (sqrt.f64 (log.f64 x)))) 1)
(pow.f64 (*.f64 x (sqrt.f64 (log.f64 x))) 1)
(pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 (log.f64 x)))) 3)
(pow.f64 (pow.f64 (*.f64 x (sqrt.f64 (log.f64 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (log.f64 x)))) 2)
(sqrt.f64 (*.f64 (log.f64 x) (*.f64 x x)))
(log.f64 (pow.f64 (exp.f64 x) (sqrt.f64 (log.f64 x))))
(cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (log.f64 x))) 3))
(expm1.f64 (log1p.f64 (*.f64 x (sqrt.f64 (log.f64 x)))))
(exp.f64 (log.f64 (*.f64 x (sqrt.f64 (log.f64 x)))))
(log1p.f64 (expm1.f64 (*.f64 x (sqrt.f64 (log.f64 x)))))
(-.f64 (+.f64 1 (sqrt.f64 (log.f64 x))) 1)
(*.f64 (sqrt.f64 (log.f64 x)) 1)
(*.f64 1 (sqrt.f64 (log.f64 x)))
(*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 (sqrt.f64 (log.f64 x))))
(*.f64 (cbrt.f64 (sqrt.f64 (log.f64 x))) (cbrt.f64 (log.f64 x)))
(*.f64 (pow.f64 (log.f64 x) 1/4) (pow.f64 (log.f64 x) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (sqrt.f64 (cbrt.f64 (log.f64 x))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (log.f64 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) 1/2) (pow.f64 (cbrt.f64 (log.f64 x)) 1/2))
(pow.f64 (log.f64 x) 1/2)
(pow.f64 (sqrt.f64 (log.f64 x)) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (log.f64 x))) 3)
(pow.f64 (pow.f64 (log.f64 x) 3/2) 1/3)
(pow.f64 (pow.f64 (log.f64 x) 1/4) 2)
(fabs.f64 (sqrt.f64 (log.f64 x)))
(log.f64 (exp.f64 (sqrt.f64 (log.f64 x))))
(cbrt.f64 (pow.f64 (log.f64 x) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (log.f64 x))))
(exp.f64 (log.f64 (sqrt.f64 (log.f64 x))))
(log1p.f64 (expm1.f64 (sqrt.f64 (log.f64 x))))
Outputs
(*.f64 (log.f64 x) x)
(*.f64 x (log.f64 x))
(*.f64 (log.f64 x) x)
(*.f64 x (log.f64 x))
(*.f64 (log.f64 x) x)
(*.f64 x (log.f64 x))
(*.f64 (log.f64 x) x)
(*.f64 x (log.f64 x))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x))
(*.f64 x (log.f64 x))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x))
(*.f64 x (log.f64 x))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x))
(*.f64 x (log.f64 x))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x))
(*.f64 x (log.f64 x))
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)
(*.f64 x (log.f64 x))
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)
(*.f64 x (log.f64 x))
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)
(*.f64 x (log.f64 x))
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)
(*.f64 x (log.f64 x))
(*.f64 (sqrt.f64 (log.f64 x)) x)
(*.f64 x (sqrt.f64 (log.f64 x)))
(*.f64 (sqrt.f64 (log.f64 x)) x)
(*.f64 x (sqrt.f64 (log.f64 x)))
(*.f64 (sqrt.f64 (log.f64 x)) x)
(*.f64 x (sqrt.f64 (log.f64 x)))
(*.f64 (sqrt.f64 (log.f64 x)) x)
(*.f64 x (sqrt.f64 (log.f64 x)))
(*.f64 (*.f64 (sqrt.f64 -1) x) (sqrt.f64 (log.f64 (/.f64 1 x))))
(*.f64 (sqrt.f64 -1) (*.f64 x (sqrt.f64 (neg.f64 (log.f64 x)))))
(*.f64 x (*.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 (log.f64 x)))))
(*.f64 (*.f64 (sqrt.f64 -1) x) (sqrt.f64 (log.f64 (/.f64 1 x))))
(*.f64 (sqrt.f64 -1) (*.f64 x (sqrt.f64 (neg.f64 (log.f64 x)))))
(*.f64 x (*.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 (log.f64 x)))))
(*.f64 (*.f64 (sqrt.f64 -1) x) (sqrt.f64 (log.f64 (/.f64 1 x))))
(*.f64 (sqrt.f64 -1) (*.f64 x (sqrt.f64 (neg.f64 (log.f64 x)))))
(*.f64 x (*.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 (log.f64 x)))))
(*.f64 (*.f64 (sqrt.f64 -1) x) (sqrt.f64 (log.f64 (/.f64 1 x))))
(*.f64 (sqrt.f64 -1) (*.f64 x (sqrt.f64 (neg.f64 (log.f64 x)))))
(*.f64 x (*.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 (log.f64 x)))))
(*.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) x)
(*.f64 x (sqrt.f64 (log.f64 x)))
(*.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) x)
(*.f64 x (sqrt.f64 (log.f64 x)))
(*.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) x)
(*.f64 x (sqrt.f64 (log.f64 x)))
(*.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) x)
(*.f64 x (sqrt.f64 (log.f64 x)))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 (/.f64 1 x))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 (log.f64 x))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 (/.f64 1 x))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 (log.f64 x))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 (/.f64 1 x))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 (log.f64 x))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 (/.f64 1 x))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 (log.f64 x))))
(sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(sqrt.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))
(sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(sqrt.f64 (log.f64 x))
(sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(sqrt.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))
(sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(sqrt.f64 (log.f64 x))
(sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(sqrt.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))
(sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(sqrt.f64 (log.f64 x))
(sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(sqrt.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))
(sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(sqrt.f64 (log.f64 x))
(-.f64 (+.f64 1 (*.f64 x (log.f64 x))) 1)
(*.f64 x (log.f64 x))
(pow.f64 (*.f64 x (log.f64 x)) 1)
(*.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 (sqrt.f64 (*.f64 x (log.f64 x))) 2)
(*.f64 x (log.f64 x))
(sqrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 2))
(*.f64 x (log.f64 x))
(log.f64 (pow.f64 (exp.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))
(log1p.f64 (expm1.f64 (*.f64 x (log.f64 x))))
(*.f64 x (log.f64 x))
(-.f64 (+.f64 1 (*.f64 x (sqrt.f64 (log.f64 x)))) 1)
(*.f64 x (sqrt.f64 (log.f64 x)))
(pow.f64 (*.f64 x (sqrt.f64 (log.f64 x))) 1)
(*.f64 x (sqrt.f64 (log.f64 x)))
(pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 (log.f64 x)))) 3)
(*.f64 x (sqrt.f64 (log.f64 x)))
(pow.f64 (pow.f64 (*.f64 x (sqrt.f64 (log.f64 x))) 3) 1/3)
(*.f64 x (sqrt.f64 (log.f64 x)))
(pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (log.f64 x)))) 2)
(*.f64 x (sqrt.f64 (log.f64 x)))
(sqrt.f64 (*.f64 (log.f64 x) (*.f64 x x)))
(sqrt.f64 (*.f64 x (*.f64 x (log.f64 x))))
(fabs.f64 (*.f64 x (sqrt.f64 (log.f64 x))))
(log.f64 (pow.f64 (exp.f64 x) (sqrt.f64 (log.f64 x))))
(*.f64 x (sqrt.f64 (log.f64 x)))
(cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (log.f64 x))) 3))
(*.f64 x (sqrt.f64 (log.f64 x)))
(expm1.f64 (log1p.f64 (*.f64 x (sqrt.f64 (log.f64 x)))))
(*.f64 x (sqrt.f64 (log.f64 x)))
(exp.f64 (log.f64 (*.f64 x (sqrt.f64 (log.f64 x)))))
(*.f64 x (sqrt.f64 (log.f64 x)))
(log1p.f64 (expm1.f64 (*.f64 x (sqrt.f64 (log.f64 x)))))
(*.f64 x (sqrt.f64 (log.f64 x)))
(-.f64 (+.f64 1 (sqrt.f64 (log.f64 x))) 1)
(sqrt.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))
(sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(sqrt.f64 (log.f64 x))
(*.f64 (sqrt.f64 (log.f64 x)) 1)
(sqrt.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))
(sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(sqrt.f64 (log.f64 x))
(*.f64 1 (sqrt.f64 (log.f64 x)))
(sqrt.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))
(sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(sqrt.f64 (log.f64 x))
(*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 (sqrt.f64 (log.f64 x))))
(sqrt.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))
(sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(sqrt.f64 (log.f64 x))
(*.f64 (cbrt.f64 (sqrt.f64 (log.f64 x))) (cbrt.f64 (log.f64 x)))
(sqrt.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))
(sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(sqrt.f64 (log.f64 x))
(*.f64 (pow.f64 (log.f64 x) 1/4) (pow.f64 (log.f64 x) 1/4))
(sqrt.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))
(sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(sqrt.f64 (log.f64 x))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (sqrt.f64 (cbrt.f64 (log.f64 x))))
(*.f64 (fabs.f64 (cbrt.f64 (log.f64 x))) (sqrt.f64 (cbrt.f64 (log.f64 x))))
(*.f64 (cbrt.f64 (log.f64 x)) (sqrt.f64 (cbrt.f64 (log.f64 x))))
(pow.f64 (cbrt.f64 (log.f64 x)) 3/2)
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (log.f64 x)))
(sqrt.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))
(sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(sqrt.f64 (log.f64 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) 1/2) (pow.f64 (cbrt.f64 (log.f64 x)) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (sqrt.f64 (cbrt.f64 (log.f64 x))))
(*.f64 (fabs.f64 (cbrt.f64 (log.f64 x))) (sqrt.f64 (cbrt.f64 (log.f64 x))))
(*.f64 (cbrt.f64 (log.f64 x)) (sqrt.f64 (cbrt.f64 (log.f64 x))))
(pow.f64 (cbrt.f64 (log.f64 x)) 3/2)
(pow.f64 (log.f64 x) 1/2)
(sqrt.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))
(sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(sqrt.f64 (log.f64 x))
(pow.f64 (sqrt.f64 (log.f64 x)) 1)
(sqrt.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))
(sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(sqrt.f64 (log.f64 x))
(pow.f64 (cbrt.f64 (sqrt.f64 (log.f64 x))) 3)
(sqrt.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))
(sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(sqrt.f64 (log.f64 x))
(pow.f64 (pow.f64 (log.f64 x) 3/2) 1/3)
(cbrt.f64 (pow.f64 (log.f64 x) 3/2))
(pow.f64 (pow.f64 (log.f64 x) 1/4) 2)
(sqrt.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))
(sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(sqrt.f64 (log.f64 x))
(fabs.f64 (sqrt.f64 (log.f64 x)))
(sqrt.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))
(sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(sqrt.f64 (log.f64 x))
(log.f64 (exp.f64 (sqrt.f64 (log.f64 x))))
(sqrt.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))
(sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(sqrt.f64 (log.f64 x))
(cbrt.f64 (pow.f64 (log.f64 x) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (log.f64 x))))
(sqrt.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))
(sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(sqrt.f64 (log.f64 x))
(exp.f64 (log.f64 (sqrt.f64 (log.f64 x))))
(sqrt.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))
(sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(sqrt.f64 (log.f64 x))
(log1p.f64 (expm1.f64 (sqrt.f64 (log.f64 x))))
(sqrt.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))
(sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(sqrt.f64 (log.f64 x))

localize11.0ms (0.2%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
99.5%
(*.f64 x (log.f64 x))
99.4%
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) (cbrt.f64 (*.f64 x (log.f64 x))))
99.3%
(pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2)
99.0%
(cbrt.f64 (*.f64 x (log.f64 x)))
Compiler

Compiled 34 to 10 computations (70.6% saved)

series3.0ms (0.1%)

Counts
2 → 12
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) (cbrt.f64 (*.f64 x (log.f64 x))))
0.0ms
x
@inf
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) (cbrt.f64 (*.f64 x (log.f64 x))))
0.0ms
x
@-inf
(pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2)
0.0ms
x
@inf
(pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2)
0.0ms
x
@0
(pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2)

rewrite122.0ms (2.2%)

Algorithm
batch-egg-rewrite
Rules
1470×pow1
1360×add-exp-log
1358×log1p-expm1-u
1358×expm1-log1p-u
1326×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01032
119932
2199632
Stop Event
node limit
Counts
2 → 30
Calls
Call 1
Inputs
(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))))
Outputs
(-.f64 (+.f64 1 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2)) 1)
(*.f64 (cbrt.f64 (*.f64 x (log.f64 x))) (cbrt.f64 (*.f64 x (log.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) 1)
(*.f64 1 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 4)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) (cbrt.f64 (*.f64 x (log.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) 2))
(*.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 (*.f64 x (log.f64 x)))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (log.f64 x)) 2))
(*.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (pow.f64 (*.f64 x (log.f64 x)) 1/6))
(*.f64 (pow.f64 (*.f64 x (log.f64 x)) 1/6) (sqrt.f64 (*.f64 x (log.f64 x))))
(*.f64 (*.f64 (cbrt.f64 (*.f64 x (log.f64 x))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))))
(*.f64 (*.f64 (cbrt.f64 (*.f64 x (log.f64 x))) (cbrt.f64 x)) (cbrt.f64 (log.f64 x)))
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 4))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2)))
(cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 2))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2)))
(exp.f64 (*.f64 2 (log.f64 (cbrt.f64 (*.f64 x (log.f64 x))))))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2)))
(-.f64 (+.f64 1 (*.f64 x (log.f64 x))) 1)
(pow.f64 (*.f64 x (log.f64 x)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3)
(pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 2))
(log.f64 (pow.f64 x 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 (-.f64 (pow.f64 x x) 1))

simplify49.0ms (0.9%)

Algorithm
egg-herbie
Rules
1318×distribute-rgt-in
1308×distribute-lft-in
1116×fma-def
974×log-prod
696×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
083948
1175876
2477804
32550804
Stop Event
node limit
Counts
42 → 41
Calls
Call 1
Inputs
(*.f64 (log.f64 x) x)
(*.f64 (log.f64 x) x)
(*.f64 (log.f64 x) x)
(*.f64 (log.f64 x) x)
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x))
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)
(-.f64 (+.f64 1 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2)) 1)
(*.f64 (cbrt.f64 (*.f64 x (log.f64 x))) (cbrt.f64 (*.f64 x (log.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) 1)
(*.f64 1 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 4)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) (cbrt.f64 (*.f64 x (log.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) 2))
(*.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 (*.f64 x (log.f64 x)))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (log.f64 x)) 2))
(*.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (pow.f64 (*.f64 x (log.f64 x)) 1/6))
(*.f64 (pow.f64 (*.f64 x (log.f64 x)) 1/6) (sqrt.f64 (*.f64 x (log.f64 x))))
(*.f64 (*.f64 (cbrt.f64 (*.f64 x (log.f64 x))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))))
(*.f64 (*.f64 (cbrt.f64 (*.f64 x (log.f64 x))) (cbrt.f64 x)) (cbrt.f64 (log.f64 x)))
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 4))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2)))
(cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 2))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2)))
(exp.f64 (*.f64 2 (log.f64 (cbrt.f64 (*.f64 x (log.f64 x))))))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2)))
(-.f64 (+.f64 1 (*.f64 x (log.f64 x))) 1)
(pow.f64 (*.f64 x (log.f64 x)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3)
(pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 2))
(log.f64 (pow.f64 x 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 (-.f64 (pow.f64 x x) 1))
Outputs
(*.f64 (log.f64 x) x)
(*.f64 x (log.f64 x))
(*.f64 (log.f64 x) x)
(*.f64 x (log.f64 x))
(*.f64 (log.f64 x) x)
(*.f64 x (log.f64 x))
(*.f64 (log.f64 x) x)
(*.f64 x (log.f64 x))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x))
(*.f64 x (log.f64 x))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x))
(*.f64 x (log.f64 x))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x))
(*.f64 x (log.f64 x))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x))
(*.f64 x (log.f64 x))
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)
(*.f64 x (log.f64 x))
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)
(*.f64 x (log.f64 x))
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)
(*.f64 x (log.f64 x))
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)
(*.f64 x (log.f64 x))
(-.f64 (+.f64 1 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2)) 1)
(+.f64 (+.f64 1 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2)) -1)
(+.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) 0)
(pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2)
(*.f64 (cbrt.f64 (*.f64 x (log.f64 x))) (cbrt.f64 (*.f64 x (log.f64 x))))
(+.f64 (+.f64 1 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2)) -1)
(+.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) 0)
(pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2)
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) 1)
(+.f64 (+.f64 1 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2)) -1)
(+.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) 0)
(pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2)
(*.f64 1 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2))
(+.f64 (+.f64 1 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2)) -1)
(+.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) 0)
(pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2)
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 4)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) (cbrt.f64 (*.f64 x (log.f64 x)))))
(+.f64 (+.f64 1 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2)) -1)
(+.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) 0)
(pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2)
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 4)))
(*.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 (*.f64 x (log.f64 x)))))
(*.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (*.f64 x (log.f64 x))) (cbrt.f64 (log.f64 x))))
(*.f64 (cbrt.f64 (*.f64 x (log.f64 x))) (*.f64 (cbrt.f64 x) (cbrt.f64 (log.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (log.f64 x)) 2))
(*.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (pow.f64 (*.f64 x (log.f64 x)) 1/6))
(*.f64 (pow.f64 (*.f64 x (log.f64 x)) 1/6) (sqrt.f64 (*.f64 x (log.f64 x))))
(*.f64 (pow.f64 (*.f64 x (log.f64 x)) 1/6) (sqrt.f64 (*.f64 x (log.f64 x))))
(*.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (pow.f64 (*.f64 x (log.f64 x)) 1/6))
(*.f64 (*.f64 (cbrt.f64 (*.f64 x (log.f64 x))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))))
(+.f64 (+.f64 1 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2)) -1)
(+.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) 0)
(pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2)
(*.f64 (*.f64 (cbrt.f64 (*.f64 x (log.f64 x))) (cbrt.f64 x)) (cbrt.f64 (log.f64 x)))
(*.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (*.f64 x (log.f64 x))) (cbrt.f64 (log.f64 x))))
(*.f64 (cbrt.f64 (*.f64 x (log.f64 x))) (*.f64 (cbrt.f64 x) (cbrt.f64 (log.f64 x))))
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 4))
(+.f64 (+.f64 1 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2)) -1)
(+.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) 0)
(pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2)
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2)))
(+.f64 (+.f64 1 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2)) -1)
(+.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) 0)
(pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2)
(cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 2))
(+.f64 (+.f64 1 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2)) -1)
(+.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) 0)
(pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2)
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2)))
(+.f64 (+.f64 1 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2)) -1)
(+.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) 0)
(pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2)
(exp.f64 (*.f64 2 (log.f64 (cbrt.f64 (*.f64 x (log.f64 x))))))
(+.f64 (+.f64 1 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2)) -1)
(+.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) 0)
(pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2)
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2)))
(+.f64 (+.f64 1 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2)) -1)
(+.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) 0)
(pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2)
(-.f64 (+.f64 1 (*.f64 x (log.f64 x))) 1)
(*.f64 x (log.f64 x))
(pow.f64 (*.f64 x (log.f64 x)) 1)
(*.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 (sqrt.f64 (*.f64 x (log.f64 x))) 2)
(*.f64 x (log.f64 x))
(sqrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 2))
(*.f64 x (log.f64 x))
(log.f64 (pow.f64 x 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))
(log1p.f64 (-.f64 (pow.f64 x x) 1))
(log1p.f64 (+.f64 (pow.f64 x x) -1))
(log1p.f64 (+.f64 -1 (pow.f64 x x)))

eval183.0ms (3.3%)

Compiler

Compiled 7788 to 3856 computations (50.5% saved)

prune197.0ms (3.6%)

Pruning

24 alts after pruning (14 fresh and 10 done)

PrunedKeptTotal
New5094513
Fresh21012
Picked011
Done1910
Total51224536
Accurracy
100.0%
Counts
536 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.0%
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) 3) 3)
50.9%
(pow.f64 (*.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 x)) 2)
51.1%
(pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 2)
97.8%
(pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3)
96.5%
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) 3) 2) (cbrt.f64 (*.f64 x (log.f64 x))))
97.8%
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) (cbrt.f64 (*.f64 x (log.f64 x))))
99.1%
(*.f64 (*.f64 (log.f64 x) (sqrt.f64 x)) (sqrt.f64 x))
98.0%
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x)))
51.1%
(*.f64 (*.f64 x (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)))
28.3%
(*.f64 (sqrt.f64 (*.f64 (log.f64 x) (*.f64 x x))) (sqrt.f64 (log.f64 x)))
68.2%
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (log.f64 x) (sqrt.f64 x)) 3)) (sqrt.f64 x))
99.5%
(*.f64 x (log.f64 x))
48.0%
(*.f64 -1 (pow.f64 (sqrt.f64 (*.f64 x (neg.f64 (log.f64 x)))) 2))
98.0%
(*.f64 -1 (*.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 x))) 3) x))
99.2%
(*.f64 -1 (*.f64 (/.f64 (-.f64 0 (pow.f64 (log.f64 x) 3)) (+.f64 0 (+.f64 (/.f64 (log.f64 x) (/.f64 1 (log.f64 x))) (*.f64 0 (log.f64 x))))) x))
98.7%
(*.f64 -1 (*.f64 (*.f64 (cbrt.f64 (*.f64 (log.f64 x) (log.f64 x))) (cbrt.f64 (neg.f64 (log.f64 x)))) x))
99.5%
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x))
47.6%
(*.f64 -1 (*.f64 (exp.f64 (log.f64 (neg.f64 (log.f64 x)))) x))
99.0%
(*.f64 -1 (*.f64 (cbrt.f64 (pow.f64 (neg.f64 (log.f64 x)) 3)) x))
4.7%
(log.f64 (pow.f64 x x))
39.6%
(cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3))
39.5%
(cbrt.f64 (*.f64 (pow.f64 (log.f64 x) 3) (pow.f64 x 3)))
39.6%
(cbrt.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) (log.f64 x)) x))
20.2%
(cbrt.f64 (exp.f64 (*.f64 3 (log.f64 (*.f64 x (log.f64 x))))))
Compiler

Compiled 447 to 309 computations (30.9% saved)

localize116.0ms (2.1%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
99.5%
(*.f64 (/.f64 (-.f64 0 (pow.f64 (log.f64 x) 3)) (+.f64 0 (+.f64 (/.f64 (log.f64 x) (/.f64 1 (log.f64 x))) (*.f64 0 (log.f64 x))))) x)
99.5%
(/.f64 (-.f64 0 (pow.f64 (log.f64 x) 3)) (+.f64 0 (+.f64 (/.f64 (log.f64 x) (/.f64 1 (log.f64 x))) (*.f64 0 (log.f64 x)))))
99.4%
(/.f64 (log.f64 x) (/.f64 1 (log.f64 x)))
98.9%
(pow.f64 (log.f64 x) 3)
Compiler

Compiled 128 to 76 computations (40.6% saved)

series1.0ms (0%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
0.0ms
x
@0
(/.f64 (log.f64 x) (/.f64 1 (log.f64 x)))
0.0ms
x
@-inf
(/.f64 (log.f64 x) (/.f64 1 (log.f64 x)))
0.0ms
x
@-inf
(*.f64 (/.f64 (-.f64 0 (pow.f64 (log.f64 x) 3)) (+.f64 0 (+.f64 (/.f64 (log.f64 x) (/.f64 1 (log.f64 x))) (*.f64 0 (log.f64 x))))) x)
0.0ms
x
@-inf
(/.f64 (-.f64 0 (pow.f64 (log.f64 x) 3)) (+.f64 0 (+.f64 (/.f64 (log.f64 x) (/.f64 1 (log.f64 x))) (*.f64 0 (log.f64 x)))))
0.0ms
x
@inf
(/.f64 (-.f64 0 (pow.f64 (log.f64 x) 3)) (+.f64 0 (+.f64 (/.f64 (log.f64 x) (/.f64 1 (log.f64 x))) (*.f64 0 (log.f64 x)))))

rewrite82.0ms (1.5%)

Algorithm
batch-egg-rewrite
Rules
1042×log-prod
492×pow-exp
404×fma-def
356×expm1-udef
352×log1p-udef
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
017121
139927
2551427
Stop Event
node limit
Counts
3 → 174
Calls
Call 1
Inputs
(/.f64 (log.f64 x) (/.f64 1 (log.f64 x)))
(/.f64 (-.f64 0 (pow.f64 (log.f64 x) 3)) (+.f64 0 (+.f64 (/.f64 (log.f64 x) (/.f64 1 (log.f64 x))) (*.f64 0 (log.f64 x)))))
(*.f64 (/.f64 (-.f64 0 (pow.f64 (log.f64 x) 3)) (+.f64 0 (+.f64 (/.f64 (log.f64 x) (/.f64 1 (log.f64 x))) (*.f64 0 (log.f64 x))))) x)
Outputs
(+.f64 0 (pow.f64 (log.f64 x) 2))
(+.f64 (pow.f64 (log.f64 x) 2) 0)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 x (log.f64 x))) (cbrt.f64 (pow.f64 x (log.f64 x))))) (log.f64 (cbrt.f64 (pow.f64 x (log.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 x (log.f64 x)))) (log.f64 (sqrt.f64 (pow.f64 x (log.f64 x)))))
(-.f64 0 (pow.f64 (log.f64 x) 2))
(-.f64 (pow.f64 (log.f64 x) 2) 0)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 x) 2))) 1)
(*.f64 (log.f64 x) (log.f64 x))
(*.f64 1 (pow.f64 (log.f64 x) 2))
(*.f64 (pow.f64 (log.f64 x) 3) (/.f64 1 (log.f64 x)))
(*.f64 (pow.f64 (log.f64 x) 2) 1)
(*.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (pow.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (/.f64 (log.f64 x) (cbrt.f64 (/.f64 1 (log.f64 x)))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (*.f64 (cbrt.f64 (log.f64 x)) (log.f64 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) 2) (pow.f64 (cbrt.f64 (log.f64 x)) 2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) 2) (neg.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2)))
(*.f64 (pow.f64 (log.f64 x) 6) (*.f64 (pow.f64 (log.f64 x) -2) (pow.f64 (log.f64 x) -2)))
(*.f64 (pow.f64 (log.f64 x) 6) (/.f64 1 (pow.f64 (pow.f64 (log.f64 x) 2) 2)))
(*.f64 (sqrt.f64 (log.f64 x)) (pow.f64 (log.f64 x) 3/2))
(*.f64 (sqrt.f64 (log.f64 x)) (/.f64 (log.f64 x) (pow.f64 (log.f64 x) -1/2)))
(*.f64 -1 (pow.f64 (log.f64 x) 2))
(*.f64 (pow.f64 (pow.f64 (log.f64 x) 2) 2) (pow.f64 (log.f64 x) -2))
(*.f64 (pow.f64 (log.f64 x) 3/2) (sqrt.f64 (log.f64 x)))
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (pow.f64 (log.f64 x) -1/2)) (/.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (log.f64 x) -1/2)))
(*.f64 (/.f64 (sqrt.f64 (log.f64 x)) 1) (/.f64 (sqrt.f64 (log.f64 x)) (/.f64 1 (log.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (log.f64 x)) (cbrt.f64 (pow.f64 (log.f64 x) -2))) (/.f64 (sqrt.f64 (log.f64 x)) (cbrt.f64 (/.f64 1 (log.f64 x)))))
(*.f64 (neg.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) 2)) (pow.f64 (cbrt.f64 (log.f64 x)) 2))
(*.f64 (*.f64 (log.f64 x) (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x)))
(pow.f64 (log.f64 x) 2)
(pow.f64 (pow.f64 (log.f64 x) 2) 1)
(pow.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) 3)
(pow.f64 (pow.f64 (log.f64 x) 6) 1/3)
(pow.f64 (pow.f64 (log.f64 x) -2) -1)
(pow.f64 (/.f64 (pow.f64 (log.f64 x) -2) 1) -1)
(pow.f64 (/.f64 (pow.f64 (pow.f64 (log.f64 x) 2) 2) (pow.f64 (log.f64 x) 6)) -1)
(pow.f64 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (pow.f64 (log.f64 x) 2) 2)) -1)
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(sqrt.f64 (pow.f64 (pow.f64 (log.f64 x) 2) 2))
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(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log.f64 x) 2))))
(log.f64 (/.f64 1 (pow.f64 x (log.f64 x))))
(log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (pow.f64 (log.f64 x) 2)))))
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(cbrt.f64 (pow.f64 (log.f64 x) 6))
(expm1.f64 (log1p.f64 (pow.f64 (log.f64 x) 2)))
(exp.f64 (*.f64 2 (log.f64 (log.f64 x))))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (log.f64 x))) 1))
(exp.f64 (*.f64 (log.f64 (log.f64 x)) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 x)) 1) 2))
(exp.f64 (*.f64 (*.f64 (*.f64 2 (log.f64 (log.f64 x))) 1) 1))
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(exp.f64 (*.f64 (*.f64 6 (log.f64 (log.f64 x))) 1/3))
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(exp.f64 (*.f64 (*.f64 -2 (log.f64 (log.f64 x))) -1))
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(fma.f64 (log.f64 x) (log.f64 x) 0)
(fma.f64 1 (pow.f64 (log.f64 x) 2) 0)
(fma.f64 (pow.f64 (log.f64 x) 3) (/.f64 1 (log.f64 x)) 0)
(fma.f64 (pow.f64 (log.f64 x) 2) 1 0)
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(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (/.f64 (log.f64 x) (cbrt.f64 (/.f64 1 (log.f64 x)))) 0)
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (*.f64 (cbrt.f64 (log.f64 x)) (log.f64 x)) 0)
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) 2) (pow.f64 (cbrt.f64 (log.f64 x)) 2) 0)
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) 2) (neg.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) 0)
(fma.f64 (pow.f64 (log.f64 x) 6) (*.f64 (pow.f64 (log.f64 x) -2) (pow.f64 (log.f64 x) -2)) 0)
(fma.f64 (pow.f64 (log.f64 x) 6) (/.f64 1 (pow.f64 (pow.f64 (log.f64 x) 2) 2)) 0)
(fma.f64 (sqrt.f64 (log.f64 x)) (pow.f64 (log.f64 x) 3/2) 0)
(fma.f64 (sqrt.f64 (log.f64 x)) (/.f64 (log.f64 x) (pow.f64 (log.f64 x) -1/2)) 0)
(fma.f64 -1 (pow.f64 (log.f64 x) 2) 0)
(fma.f64 (pow.f64 (pow.f64 (log.f64 x) 2) 2) (pow.f64 (log.f64 x) -2) 0)
(fma.f64 (pow.f64 (log.f64 x) 3/2) (sqrt.f64 (log.f64 x)) 0)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) 1) (/.f64 (cbrt.f64 (log.f64 x)) (/.f64 1 (log.f64 x))) 0)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (cbrt.f64 (pow.f64 (log.f64 x) -2))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) 0)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (pow.f64 (log.f64 x) -1/2)) (/.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (log.f64 x) -1/2)) 0)
(fma.f64 (/.f64 (sqrt.f64 (log.f64 x)) 1) (/.f64 (sqrt.f64 (log.f64 x)) (/.f64 1 (log.f64 x))) 0)
(fma.f64 (/.f64 (sqrt.f64 (log.f64 x)) (cbrt.f64 (pow.f64 (log.f64 x) -2))) (/.f64 (sqrt.f64 (log.f64 x)) (cbrt.f64 (/.f64 1 (log.f64 x)))) 0)
(fma.f64 (neg.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) 2)) (pow.f64 (cbrt.f64 (log.f64 x)) 2) 0)
(fma.f64 (*.f64 (log.f64 x) (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x)) 0)
(+.f64 (log.f64 x) 0)
(+.f64 0 (log.f64 x))
(+.f64 (log.f64 (cbrt.f64 x)) (*.f64 2 (log.f64 (cbrt.f64 x))))
(+.f64 (log.f64 (sqrt.f64 x)) (log.f64 (sqrt.f64 x)))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 x))) (log.f64 (cbrt.f64 x)))
(-.f64 0 (log.f64 x))
(-.f64 (exp.f64 (log1p.f64 (log.f64 x))) 1)
(*.f64 (log.f64 x) 1)
(*.f64 (log.f64 x) (/.f64 (log.f64 x) (log.f64 x)))
(*.f64 (log.f64 x) (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 x) 2)))
(*.f64 1 (log.f64 x))
(*.f64 (/.f64 1 (log.f64 x)) (/.f64 (pow.f64 (log.f64 x) 3) (log.f64 x)))
(*.f64 3 (log.f64 (cbrt.f64 x)))
(*.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 x) -2))
(*.f64 (pow.f64 (log.f64 x) 2) (/.f64 (log.f64 x) (pow.f64 (log.f64 x) 2)))
(*.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 x) (pow.f64 (log.f64 x) -2)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (cbrt.f64 (log.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (neg.f64 (cbrt.f64 (log.f64 x))))
(*.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (log.f64 x)) 2))
(*.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)))
(*.f64 (sqrt.f64 (log.f64 x)) (neg.f64 (sqrt.f64 (log.f64 x))))
(*.f64 -1 (log.f64 x))
(*.f64 (pow.f64 (log.f64 x) -2) (pow.f64 (log.f64 x) 3))
(*.f64 2 (log.f64 (sqrt.f64 x)))
(*.f64 (pow.f64 (log.f64 x) 3/2) (*.f64 (pow.f64 (log.f64 x) 3/2) (pow.f64 (log.f64 x) -2)))
(*.f64 (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) 2)) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2)))
(*.f64 1/3 (*.f64 3 (log.f64 x)))
(*.f64 (/.f64 (log.f64 x) (pow.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) 2)) (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (cbrt.f64 (log.f64 x)) 2)))
(*.f64 (/.f64 (log.f64 x) (log.f64 x)) (log.f64 x))
(*.f64 (/.f64 1 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) 2)) (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (cbrt.f64 (log.f64 x)) 2)))
(*.f64 (/.f64 (pow.f64 (log.f64 x) 3/2) 1) (/.f64 (pow.f64 (log.f64 x) 3/2) (pow.f64 (log.f64 x) 2)))
(*.f64 (/.f64 (pow.f64 (log.f64 x) 3/2) (pow.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) 2)) (/.f64 (pow.f64 (log.f64 x) 3/2) (pow.f64 (cbrt.f64 (log.f64 x)) 2)))
(*.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x)))
(*.f64 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 x) 6)) (pow.f64 (pow.f64 (log.f64 x) 2) 2))
(*.f64 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (pow.f64 (log.f64 x) 2) 2)) (pow.f64 (log.f64 x) 2))
(pow.f64 (log.f64 x) 1)
(pow.f64 (/.f64 1 (log.f64 x)) -1)
(pow.f64 (pow.f64 (log.f64 x) 3) 1/3)
(pow.f64 (pow.f64 (log.f64 x) 2) 1/2)
(pow.f64 (cbrt.f64 (log.f64 x)) 3)
(pow.f64 (sqrt.f64 (log.f64 x)) 2)
(pow.f64 (/.f64 (/.f64 1 (log.f64 x)) 1) -1)
(neg.f64 (log.f64 x))
(sqrt.f64 (pow.f64 (log.f64 x) 2))
(fabs.f64 (log.f64 x))
(log.f64 x)
(log.f64 (+.f64 1 (-.f64 x 1)))
(log.f64 (/.f64 1 (+.f64 1 (-.f64 x 1))))
(cbrt.f64 (pow.f64 (log.f64 x) 3))
(expm1.f64 (log1p.f64 (log.f64 x)))
(exp.f64 (log.f64 (log.f64 x)))
(exp.f64 (*.f64 (log.f64 (log.f64 x)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 x)) 1) 1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (log.f64 x))) -1))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 x)) -1) -1))
(exp.f64 (*.f64 (*.f64 (neg.f64 (log.f64 (log.f64 x))) 1) -1))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 x))) 1/3))
(exp.f64 (*.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 x))) 1) 1/3))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (log.f64 x))) 1/2))
(exp.f64 (*.f64 (*.f64 (*.f64 2 (log.f64 (log.f64 x))) 1) 1/2))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 x))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 x))) 2))
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(-.f64 (exp.f64 (log1p.f64 (log.f64 (pow.f64 x x)))) 1)
(/.f64 x (/.f64 1 (log.f64 x)))
(/.f64 1 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 x (pow.f64 (log.f64 x) 3))))
(/.f64 (pow.f64 (log.f64 x) 3) (/.f64 (pow.f64 (log.f64 x) 2) x))
(/.f64 (*.f64 x (pow.f64 (log.f64 x) 3)) (pow.f64 (log.f64 x) 2))
(/.f64 (/.f64 (*.f64 x (pow.f64 (log.f64 x) 3)) 1) (pow.f64 (log.f64 x) 2))
(/.f64 (/.f64 (*.f64 x (pow.f64 (log.f64 x) 3)) (pow.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) 2)) (pow.f64 (cbrt.f64 (log.f64 x)) 2))
(/.f64 (/.f64 (*.f64 x (pow.f64 (log.f64 x) 3)) (log.f64 x)) (log.f64 x))
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(pow.f64 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 x (pow.f64 (log.f64 x) 3))) -1)
(sqrt.f64 (pow.f64 (log.f64 (pow.f64 x x)) 2))
(log.f64 (pow.f64 x x))
(log.f64 (+.f64 1 (-.f64 (pow.f64 x x) 1)))
(cbrt.f64 (pow.f64 (log.f64 (pow.f64 x x)) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (log.f64 x) 3)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 x) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (log.f64 (pow.f64 x x))))
(exp.f64 (log.f64 (log.f64 (pow.f64 x x))))
(exp.f64 (*.f64 (log.f64 (log.f64 (pow.f64 x x))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 (pow.f64 x x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (pow.f64 x x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (pow.f64 x x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (pow.f64 x x)))) 2))
(log1p.f64 (-.f64 (pow.f64 x x) 1))

simplify115.0ms (2.1%)

Algorithm
egg-herbie
Rules
1290×log-prod
1218×fma-neg
1134×cube-prod
934×times-frac
564×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03492834
17402670
239512642
Stop Event
node limit
Counts
210 → 210
Calls
Call 1
Inputs
(pow.f64 (log.f64 x) 2)
(pow.f64 (log.f64 x) 2)
(pow.f64 (log.f64 x) 2)
(pow.f64 (log.f64 x) 2)
(pow.f64 (log.f64 (/.f64 1 x)) 2)
(pow.f64 (log.f64 (/.f64 1 x)) 2)
(pow.f64 (log.f64 (/.f64 1 x)) 2)
(pow.f64 (log.f64 (/.f64 1 x)) 2)
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2)
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2)
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2)
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2)
(*.f64 -1 (log.f64 x))
(*.f64 -1 (log.f64 x))
(*.f64 -1 (log.f64 x))
(*.f64 -1 (log.f64 x))
(log.f64 (/.f64 1 x))
(log.f64 (/.f64 1 x))
(log.f64 (/.f64 1 x))
(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 -1 (*.f64 x (log.f64 x)))
(*.f64 -1 (*.f64 x (log.f64 x)))
(*.f64 -1 (*.f64 x (log.f64 x)))
(*.f64 -1 (*.f64 x (log.f64 x)))
(*.f64 (log.f64 (/.f64 1 x)) x)
(*.f64 (log.f64 (/.f64 1 x)) x)
(*.f64 (log.f64 (/.f64 1 x)) x)
(*.f64 (log.f64 (/.f64 1 x)) x)
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x))
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x))
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x))
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x))
(+.f64 0 (pow.f64 (log.f64 x) 2))
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(+.f64 (log.f64 (sqrt.f64 (pow.f64 x (log.f64 x)))) (log.f64 (sqrt.f64 (pow.f64 x (log.f64 x)))))
(-.f64 0 (pow.f64 (log.f64 x) 2))
(-.f64 (pow.f64 (log.f64 x) 2) 0)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 x) 2))) 1)
(*.f64 (log.f64 x) (log.f64 x))
(*.f64 1 (pow.f64 (log.f64 x) 2))
(*.f64 (pow.f64 (log.f64 x) 3) (/.f64 1 (log.f64 x)))
(*.f64 (pow.f64 (log.f64 x) 2) 1)
(*.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (pow.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (/.f64 (log.f64 x) (cbrt.f64 (/.f64 1 (log.f64 x)))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (*.f64 (cbrt.f64 (log.f64 x)) (log.f64 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) 2) (pow.f64 (cbrt.f64 (log.f64 x)) 2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) 2) (neg.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2)))
(*.f64 (pow.f64 (log.f64 x) 6) (*.f64 (pow.f64 (log.f64 x) -2) (pow.f64 (log.f64 x) -2)))
(*.f64 (pow.f64 (log.f64 x) 6) (/.f64 1 (pow.f64 (pow.f64 (log.f64 x) 2) 2)))
(*.f64 (sqrt.f64 (log.f64 x)) (pow.f64 (log.f64 x) 3/2))
(*.f64 (sqrt.f64 (log.f64 x)) (/.f64 (log.f64 x) (pow.f64 (log.f64 x) -1/2)))
(*.f64 -1 (pow.f64 (log.f64 x) 2))
(*.f64 (pow.f64 (pow.f64 (log.f64 x) 2) 2) (pow.f64 (log.f64 x) -2))
(*.f64 (pow.f64 (log.f64 x) 3/2) (sqrt.f64 (log.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) 1) (/.f64 (cbrt.f64 (log.f64 x)) (/.f64 1 (log.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (cbrt.f64 (pow.f64 (log.f64 x) -2))) (pow.f64 (cbrt.f64 (log.f64 x)) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (pow.f64 (log.f64 x) -1/2)) (/.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (log.f64 x) -1/2)))
(*.f64 (/.f64 (sqrt.f64 (log.f64 x)) 1) (/.f64 (sqrt.f64 (log.f64 x)) (/.f64 1 (log.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (log.f64 x)) (cbrt.f64 (pow.f64 (log.f64 x) -2))) (/.f64 (sqrt.f64 (log.f64 x)) (cbrt.f64 (/.f64 1 (log.f64 x)))))
(*.f64 (neg.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) 2)) (pow.f64 (cbrt.f64 (log.f64 x)) 2))
(*.f64 (*.f64 (log.f64 x) (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x)))
(pow.f64 (log.f64 x) 2)
(pow.f64 (pow.f64 (log.f64 x) 2) 1)
(pow.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) 3)
(pow.f64 (pow.f64 (log.f64 x) 6) 1/3)
(pow.f64 (pow.f64 (log.f64 x) -2) -1)
(pow.f64 (/.f64 (pow.f64 (log.f64 x) -2) 1) -1)
(pow.f64 (/.f64 (pow.f64 (pow.f64 (log.f64 x) 2) 2) (pow.f64 (log.f64 x) 6)) -1)
(pow.f64 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (pow.f64 (log.f64 x) 2) 2)) -1)
(neg.f64 (pow.f64 (log.f64 x) 2))
(sqrt.f64 (pow.f64 (pow.f64 (log.f64 x) 2) 2))
(log.f64 (pow.f64 x (log.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log.f64 x) 2))))
(log.f64 (/.f64 1 (pow.f64 x (log.f64 x))))
(log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (pow.f64 (log.f64 x) 2)))))
(log.f64 (/.f64 1 (/.f64 1 (pow.f64 x (log.f64 x)))))
(cbrt.f64 (pow.f64 (log.f64 x) 6))
(expm1.f64 (log1p.f64 (pow.f64 (log.f64 x) 2)))
(exp.f64 (*.f64 2 (log.f64 (log.f64 x))))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (log.f64 x))) 1))
(exp.f64 (*.f64 (log.f64 (log.f64 x)) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 x)) 1) 2))
(exp.f64 (*.f64 (*.f64 (*.f64 2 (log.f64 (log.f64 x))) 1) 1))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 (log.f64 x)))) 3))
(exp.f64 (*.f64 (*.f64 6 (log.f64 (log.f64 x))) 1/3))
(exp.f64 (*.f64 (*.f64 (*.f64 2 (log.f64 (log.f64 x))) 3) 1/3))
(exp.f64 (*.f64 (*.f64 -2 (log.f64 (log.f64 x))) -1))
(log1p.f64 (expm1.f64 (pow.f64 (log.f64 x) 2)))
(fma.f64 (log.f64 x) (log.f64 x) 0)
(fma.f64 1 (pow.f64 (log.f64 x) 2) 0)
(fma.f64 (pow.f64 (log.f64 x) 3) (/.f64 1 (log.f64 x)) 0)
(fma.f64 (pow.f64 (log.f64 x) 2) 1 0)
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (pow.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) 2) 0)
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (/.f64 (log.f64 x) (cbrt.f64 (/.f64 1 (log.f64 x)))) 0)
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (*.f64 (cbrt.f64 (log.f64 x)) (log.f64 x)) 0)
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) 2) (pow.f64 (cbrt.f64 (log.f64 x)) 2) 0)
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) 2) (neg.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) 0)
(fma.f64 (pow.f64 (log.f64 x) 6) (*.f64 (pow.f64 (log.f64 x) -2) (pow.f64 (log.f64 x) -2)) 0)
(fma.f64 (pow.f64 (log.f64 x) 6) (/.f64 1 (pow.f64 (pow.f64 (log.f64 x) 2) 2)) 0)
(fma.f64 (sqrt.f64 (log.f64 x)) (pow.f64 (log.f64 x) 3/2) 0)
(fma.f64 (sqrt.f64 (log.f64 x)) (/.f64 (log.f64 x) (pow.f64 (log.f64 x) -1/2)) 0)
(fma.f64 -1 (pow.f64 (log.f64 x) 2) 0)
(fma.f64 (pow.f64 (pow.f64 (log.f64 x) 2) 2) (pow.f64 (log.f64 x) -2) 0)
(fma.f64 (pow.f64 (log.f64 x) 3/2) (sqrt.f64 (log.f64 x)) 0)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) 1) (/.f64 (cbrt.f64 (log.f64 x)) (/.f64 1 (log.f64 x))) 0)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (cbrt.f64 (pow.f64 (log.f64 x) -2))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) 0)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (pow.f64 (log.f64 x) -1/2)) (/.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (log.f64 x) -1/2)) 0)
(fma.f64 (/.f64 (sqrt.f64 (log.f64 x)) 1) (/.f64 (sqrt.f64 (log.f64 x)) (/.f64 1 (log.f64 x))) 0)
(fma.f64 (/.f64 (sqrt.f64 (log.f64 x)) (cbrt.f64 (pow.f64 (log.f64 x) -2))) (/.f64 (sqrt.f64 (log.f64 x)) (cbrt.f64 (/.f64 1 (log.f64 x)))) 0)
(fma.f64 (neg.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) 2)) (pow.f64 (cbrt.f64 (log.f64 x)) 2) 0)
(fma.f64 (*.f64 (log.f64 x) (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x)) 0)
(+.f64 (log.f64 x) 0)
(+.f64 0 (log.f64 x))
(+.f64 (log.f64 (cbrt.f64 x)) (*.f64 2 (log.f64 (cbrt.f64 x))))
(+.f64 (log.f64 (sqrt.f64 x)) (log.f64 (sqrt.f64 x)))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 x))) (log.f64 (cbrt.f64 x)))
(-.f64 0 (log.f64 x))
(-.f64 (exp.f64 (log1p.f64 (log.f64 x))) 1)
(*.f64 (log.f64 x) 1)
(*.f64 (log.f64 x) (/.f64 (log.f64 x) (log.f64 x)))
(*.f64 (log.f64 x) (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 x) 2)))
(*.f64 1 (log.f64 x))
(*.f64 (/.f64 1 (log.f64 x)) (/.f64 (pow.f64 (log.f64 x) 3) (log.f64 x)))
(*.f64 3 (log.f64 (cbrt.f64 x)))
(*.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 x) -2))
(*.f64 (pow.f64 (log.f64 x) 2) (/.f64 (log.f64 x) (pow.f64 (log.f64 x) 2)))
(*.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 x) (pow.f64 (log.f64 x) -2)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (cbrt.f64 (log.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (neg.f64 (cbrt.f64 (log.f64 x))))
(*.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (log.f64 x)) 2))
(*.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)))
(*.f64 (sqrt.f64 (log.f64 x)) (neg.f64 (sqrt.f64 (log.f64 x))))
(*.f64 -1 (log.f64 x))
(*.f64 (pow.f64 (log.f64 x) -2) (pow.f64 (log.f64 x) 3))
(*.f64 2 (log.f64 (sqrt.f64 x)))
(*.f64 (pow.f64 (log.f64 x) 3/2) (*.f64 (pow.f64 (log.f64 x) 3/2) (pow.f64 (log.f64 x) -2)))
(*.f64 (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) 2)) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2)))
(*.f64 1/3 (*.f64 3 (log.f64 x)))
(*.f64 (/.f64 (log.f64 x) (pow.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) 2)) (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (cbrt.f64 (log.f64 x)) 2)))
(*.f64 (/.f64 (log.f64 x) (log.f64 x)) (log.f64 x))
(*.f64 (/.f64 1 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) 2)) (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (cbrt.f64 (log.f64 x)) 2)))
(*.f64 (/.f64 (pow.f64 (log.f64 x) 3/2) 1) (/.f64 (pow.f64 (log.f64 x) 3/2) (pow.f64 (log.f64 x) 2)))
(*.f64 (/.f64 (pow.f64 (log.f64 x) 3/2) (pow.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) 2)) (/.f64 (pow.f64 (log.f64 x) 3/2) (pow.f64 (cbrt.f64 (log.f64 x)) 2)))
(*.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x)))
(*.f64 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 x) 6)) (pow.f64 (pow.f64 (log.f64 x) 2) 2))
(*.f64 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (pow.f64 (log.f64 x) 2) 2)) (pow.f64 (log.f64 x) 2))
(pow.f64 (log.f64 x) 1)
(pow.f64 (/.f64 1 (log.f64 x)) -1)
(pow.f64 (pow.f64 (log.f64 x) 3) 1/3)
(pow.f64 (pow.f64 (log.f64 x) 2) 1/2)
(pow.f64 (cbrt.f64 (log.f64 x)) 3)
(pow.f64 (sqrt.f64 (log.f64 x)) 2)
(pow.f64 (/.f64 (/.f64 1 (log.f64 x)) 1) -1)
(neg.f64 (log.f64 x))
(sqrt.f64 (pow.f64 (log.f64 x) 2))
(fabs.f64 (log.f64 x))
(log.f64 x)
(log.f64 (+.f64 1 (-.f64 x 1)))
(log.f64 (/.f64 1 (+.f64 1 (-.f64 x 1))))
(cbrt.f64 (pow.f64 (log.f64 x) 3))
(expm1.f64 (log1p.f64 (log.f64 x)))
(exp.f64 (log.f64 (log.f64 x)))
(exp.f64 (*.f64 (log.f64 (log.f64 x)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 x)) 1) 1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (log.f64 x))) -1))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 x)) -1) -1))
(exp.f64 (*.f64 (*.f64 (neg.f64 (log.f64 (log.f64 x))) 1) -1))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 x))) 1/3))
(exp.f64 (*.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 x))) 1) 1/3))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (log.f64 x))) 1/2))
(exp.f64 (*.f64 (*.f64 (*.f64 2 (log.f64 (log.f64 x))) 1) 1/2))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 x))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 x))) 2))
(log1p.f64 (-.f64 x 1))
(+.f64 0 (log.f64 (pow.f64 x x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 x x)) (cbrt.f64 (pow.f64 x x)))) (log.f64 (cbrt.f64 (pow.f64 x x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 x x))) (log.f64 (sqrt.f64 (pow.f64 x x))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (pow.f64 x x)))) 1)
(/.f64 x (/.f64 1 (log.f64 x)))
(/.f64 1 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 x (pow.f64 (log.f64 x) 3))))
(/.f64 (pow.f64 (log.f64 x) 3) (/.f64 (pow.f64 (log.f64 x) 2) x))
(/.f64 (*.f64 x (pow.f64 (log.f64 x) 3)) (pow.f64 (log.f64 x) 2))
(/.f64 (/.f64 (*.f64 x (pow.f64 (log.f64 x) 3)) 1) (pow.f64 (log.f64 x) 2))
(/.f64 (/.f64 (*.f64 x (pow.f64 (log.f64 x) 3)) (pow.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) 2)) (pow.f64 (cbrt.f64 (log.f64 x)) 2))
(/.f64 (/.f64 (*.f64 x (pow.f64 (log.f64 x) 3)) (log.f64 x)) (log.f64 x))
(pow.f64 (log.f64 (pow.f64 x x)) 1)
(pow.f64 (cbrt.f64 (log.f64 (pow.f64 x x))) 3)
(pow.f64 (pow.f64 (log.f64 (pow.f64 x x)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (pow.f64 x x))) 2)
(pow.f64 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 x (pow.f64 (log.f64 x) 3))) -1)
(sqrt.f64 (pow.f64 (log.f64 (pow.f64 x x)) 2))
(log.f64 (pow.f64 x x))
(log.f64 (+.f64 1 (-.f64 (pow.f64 x x) 1)))
(cbrt.f64 (pow.f64 (log.f64 (pow.f64 x x)) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (log.f64 x) 3)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 x) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (log.f64 (pow.f64 x x))))
(exp.f64 (log.f64 (log.f64 (pow.f64 x x))))
(exp.f64 (*.f64 (log.f64 (log.f64 (pow.f64 x x))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 (pow.f64 x x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (pow.f64 x x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (pow.f64 x x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (pow.f64 x x)))) 2))
(log1p.f64 (-.f64 (pow.f64 x x) 1))
Outputs
(pow.f64 (log.f64 x) 2)
(pow.f64 (log.f64 x) 2)
(pow.f64 (log.f64 x) 2)
(pow.f64 (log.f64 x) 2)
(pow.f64 (log.f64 (/.f64 1 x)) 2)
(pow.f64 (log.f64 x) 2)
(pow.f64 (log.f64 (/.f64 1 x)) 2)
(pow.f64 (log.f64 x) 2)
(pow.f64 (log.f64 (/.f64 1 x)) 2)
(pow.f64 (log.f64 x) 2)
(pow.f64 (log.f64 (/.f64 1 x)) 2)
(pow.f64 (log.f64 x) 2)
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2)
(pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2)
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2)
(pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2)
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2)
(pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2)
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2)
(pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2)
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)
(*.f64 -1 (log.f64 x))
(neg.f64 (log.f64 x))
(*.f64 -1 (log.f64 x))
(neg.f64 (log.f64 x))
(*.f64 -1 (log.f64 x))
(neg.f64 (log.f64 x))
(*.f64 -1 (log.f64 x))
(neg.f64 (log.f64 x))
(log.f64 (/.f64 1 x))
(neg.f64 (log.f64 x))
(log.f64 (/.f64 1 x))
(neg.f64 (log.f64 x))
(log.f64 (/.f64 1 x))
(neg.f64 (log.f64 x))
(log.f64 (/.f64 1 x))
(neg.f64 (log.f64 x))
(*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(neg.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))
(neg.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(neg.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))
(neg.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(neg.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))
(neg.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(neg.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))
(neg.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(*.f64 -1 (*.f64 x (log.f64 x)))
(neg.f64 (*.f64 x (log.f64 x)))
(*.f64 (log.f64 x) (neg.f64 x))
(*.f64 -1 (*.f64 x (log.f64 x)))
(neg.f64 (*.f64 x (log.f64 x)))
(*.f64 (log.f64 x) (neg.f64 x))
(*.f64 -1 (*.f64 x (log.f64 x)))
(neg.f64 (*.f64 x (log.f64 x)))
(*.f64 (log.f64 x) (neg.f64 x))
(*.f64 -1 (*.f64 x (log.f64 x)))
(neg.f64 (*.f64 x (log.f64 x)))
(*.f64 (log.f64 x) (neg.f64 x))
(*.f64 (log.f64 (/.f64 1 x)) x)
(neg.f64 (*.f64 x (log.f64 x)))
(*.f64 (log.f64 x) (neg.f64 x))
(*.f64 (log.f64 (/.f64 1 x)) x)
(neg.f64 (*.f64 x (log.f64 x)))
(*.f64 (log.f64 x) (neg.f64 x))
(*.f64 (log.f64 (/.f64 1 x)) x)
(neg.f64 (*.f64 x (log.f64 x)))
(*.f64 (log.f64 x) (neg.f64 x))
(*.f64 (log.f64 (/.f64 1 x)) x)
(neg.f64 (*.f64 x (log.f64 x)))
(*.f64 (log.f64 x) (neg.f64 x))
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x))
(neg.f64 (*.f64 x (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))))
(*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (neg.f64 x))
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x))
(neg.f64 (*.f64 x (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))))
(*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (neg.f64 x))
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x))
(neg.f64 (*.f64 x (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))))
(*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (neg.f64 x))
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x))
(neg.f64 (*.f64 x (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))))
(*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (neg.f64 x))
(+.f64 0 (pow.f64 (log.f64 x) 2))
(pow.f64 (log.f64 x) 2)
(+.f64 (pow.f64 (log.f64 x) 2) 0)
(pow.f64 (log.f64 x) 2)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 x (log.f64 x))) (cbrt.f64 (pow.f64 x (log.f64 x))))) (log.f64 (cbrt.f64 (pow.f64 x (log.f64 x)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 x (log.f64 x))))) (log.f64 (cbrt.f64 (pow.f64 x (log.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 x (log.f64 x)))) (log.f64 (sqrt.f64 (pow.f64 x (log.f64 x)))))
(*.f64 2 (log.f64 (sqrt.f64 (pow.f64 x (log.f64 x)))))
(-.f64 0 (pow.f64 (log.f64 x) 2))
(neg.f64 (pow.f64 (log.f64 x) 2))
(-.f64 (pow.f64 (log.f64 x) 2) 0)
(pow.f64 (log.f64 x) 2)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 x) 2))) 1)
(pow.f64 (log.f64 x) 2)
(*.f64 (log.f64 x) (log.f64 x))
(pow.f64 (log.f64 x) 2)
(*.f64 1 (pow.f64 (log.f64 x) 2))
(pow.f64 (log.f64 x) 2)
(*.f64 (pow.f64 (log.f64 x) 3) (/.f64 1 (log.f64 x)))
(pow.f64 (log.f64 x) 2)
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(*.f64 x (log.f64 x))
(/.f64 (*.f64 x (pow.f64 (log.f64 x) 3)) (pow.f64 (log.f64 x) 2))
(*.f64 x (log.f64 x))
(/.f64 (/.f64 (*.f64 x (pow.f64 (log.f64 x) 3)) 1) (pow.f64 (log.f64 x) 2))
(*.f64 x (log.f64 x))
(/.f64 (/.f64 (*.f64 x (pow.f64 (log.f64 x) 3)) (pow.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) 2)) (pow.f64 (cbrt.f64 (log.f64 x)) 2))
(*.f64 x (log.f64 x))
(/.f64 (/.f64 (*.f64 x (pow.f64 (log.f64 x) 3)) (log.f64 x)) (log.f64 x))
(*.f64 x (log.f64 x))
(pow.f64 (log.f64 (pow.f64 x x)) 1)
(*.f64 x (log.f64 x))
(pow.f64 (cbrt.f64 (log.f64 (pow.f64 x x))) 3)
(*.f64 x (log.f64 x))
(pow.f64 (pow.f64 (log.f64 (pow.f64 x x)) 3) 1/3)
(*.f64 x (log.f64 x))
(pow.f64 (sqrt.f64 (log.f64 (pow.f64 x x))) 2)
(*.f64 x (log.f64 x))
(pow.f64 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 x (pow.f64 (log.f64 x) 3))) -1)
(*.f64 x (log.f64 x))
(sqrt.f64 (pow.f64 (log.f64 (pow.f64 x x)) 2))
(sqrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 2))
(fabs.f64 (*.f64 x (log.f64 x)))
(log.f64 (pow.f64 x x))
(*.f64 x (log.f64 x))
(log.f64 (+.f64 1 (-.f64 (pow.f64 x x) 1)))
(log1p.f64 (+.f64 (pow.f64 x x) -1))
(log.f64 (+.f64 (pow.f64 x x) 0))
(cbrt.f64 (pow.f64 (log.f64 (pow.f64 x x)) 3))
(*.f64 x (log.f64 x))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (log.f64 x) 3)))
(*.f64 x (log.f64 x))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 x) 3) (pow.f64 x 3)))
(*.f64 x (log.f64 x))
(expm1.f64 (log1p.f64 (log.f64 (pow.f64 x x))))
(*.f64 x (log.f64 x))
(exp.f64 (log.f64 (log.f64 (pow.f64 x x))))
(*.f64 x (log.f64 x))
(exp.f64 (*.f64 (log.f64 (log.f64 (pow.f64 x x))) 1))
(*.f64 x (log.f64 x))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 (pow.f64 x x))) 1) 1))
(*.f64 x (log.f64 x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (pow.f64 x x)))) 3))
(*.f64 x (log.f64 x))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (pow.f64 x x)))) 1/3))
(*.f64 x (log.f64 x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (pow.f64 x x)))) 2))
(*.f64 x (log.f64 x))
(log1p.f64 (-.f64 (pow.f64 x x) 1))
(log1p.f64 (+.f64 (pow.f64 x x) -1))
(log.f64 (+.f64 (pow.f64 x x) 0))

localize11.0ms (0.2%)

Local Accuracy

Found 3 expressions with local accuracy:

NewAccuracyProgram
99.9%
(log.f64 (neg.f64 (log.f64 x)))
99.8%
(*.f64 (exp.f64 (log.f64 (neg.f64 (log.f64 x)))) x)
99.1%
(exp.f64 (log.f64 (neg.f64 (log.f64 x))))
Compiler

Compiled 33 to 9 computations (72.7% saved)

series59.0ms (1.1%)

Counts
3 → 32
Calls

9 calls:

TimeVariablePointExpression
21.0ms
x
@-inf
(log.f64 (neg.f64 (log.f64 x)))
20.0ms
x
@0
(log.f64 (neg.f64 (log.f64 x)))
17.0ms
x
@inf
(log.f64 (neg.f64 (log.f64 x)))
0.0ms
x
@-inf
(*.f64 (exp.f64 (log.f64 (neg.f64 (log.f64 x)))) x)
0.0ms
x
@0
(exp.f64 (log.f64 (neg.f64 (log.f64 x))))

rewrite69.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
1254×pow1
1142×add-exp-log
1142×log1p-expm1-u
1142×expm1-log1p-u
1106×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0937
116025
2187925
Stop Event
node limit
Counts
3 → 65
Calls
Call 1
Inputs
(exp.f64 (log.f64 (neg.f64 (log.f64 x))))
(*.f64 (exp.f64 (log.f64 (neg.f64 (log.f64 x)))) x)
(log.f64 (neg.f64 (log.f64 x)))
Outputs
(+.f64 1 (-.f64 (log.f64 x) 1))
(+.f64 0 (log.f64 x))
(+.f64 (log.f64 (sqrt.f64 x)) (log.f64 (sqrt.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 x) 2)) (log.f64 (cbrt.f64 x)))
(-.f64 0 (log.f64 x))
(-.f64 (+.f64 1 (log.f64 x)) 1)
(*.f64 (log.f64 x) 1)
(*.f64 (log.f64 x) -1)
(*.f64 1 (log.f64 x))
(*.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (log.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (cbrt.f64 (log.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (neg.f64 (cbrt.f64 (log.f64 x))))
(*.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)))
(*.f64 (sqrt.f64 (log.f64 x)) (neg.f64 (sqrt.f64 (log.f64 x))))
(*.f64 -1 (log.f64 x))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x)))
(*.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)))
(*.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x)))
(*.f64 (*.f64 -1 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)))
(/.f64 (-.f64 0 (pow.f64 (log.f64 x) 3)) (+.f64 0 (+.f64 (pow.f64 (log.f64 x) 2) (*.f64 0 (log.f64 x)))))
(/.f64 (-.f64 0 (pow.f64 (log.f64 x) 2)) (log.f64 x))
(pow.f64 (log.f64 x) 1)
(pow.f64 (cbrt.f64 (log.f64 x)) 3)
(pow.f64 (pow.f64 (log.f64 x) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 x)) 2)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) 2)) (cbrt.f64 (log.f64 (log.f64 x))))
(pow.f64 (exp.f64 1) (log.f64 (log.f64 x)))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 x)))) (sqrt.f64 (log.f64 (log.f64 x))))
(neg.f64 (log.f64 x))
(sqrt.f64 (pow.f64 (log.f64 x) 2))
(log.f64 x)
(cbrt.f64 (pow.f64 (log.f64 x) 3))
(expm1.f64 (log1p.f64 (log.f64 x)))
(log1p.f64 (-.f64 x 1))
(-.f64 (+.f64 1 (*.f64 x (log.f64 x))) 1)
(pow.f64 (*.f64 x (log.f64 x)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3)
(pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 2)
(neg.f64 (*.f64 x (log.f64 x)))
(sqrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 2))
(log.f64 (pow.f64 x 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 (-.f64 (pow.f64 x x) 1))
(+.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 -1) (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))

simplify67.0ms (1.2%)

Algorithm
egg-herbie
Rules
1464×fma-def
1196×fma-neg
1196×log-prod
940×unswap-sqr
538×associate-/l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01421561
13091157
212751097
370741097
Stop Event
node limit
Counts
97 → 96
Calls
Call 1
Inputs
(*.f64 -1 (log.f64 x))
(*.f64 -1 (log.f64 x))
(*.f64 -1 (log.f64 x))
(*.f64 -1 (log.f64 x))
(log.f64 (/.f64 1 x))
(log.f64 (/.f64 1 x))
(log.f64 (/.f64 1 x))
(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 -1 (*.f64 x (log.f64 x)))
(*.f64 -1 (*.f64 x (log.f64 x)))
(*.f64 -1 (*.f64 x (log.f64 x)))
(*.f64 -1 (*.f64 x (log.f64 x)))
(*.f64 (log.f64 (/.f64 1 x)) x)
(*.f64 (log.f64 (/.f64 1 x)) x)
(*.f64 (log.f64 (/.f64 1 x)) x)
(*.f64 (log.f64 (/.f64 1 x)) x)
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x))
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x))
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x))
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x))
(log.f64 (neg.f64 (*.f64 -1 (log.f64 (/.f64 1 x)))))
(log.f64 (neg.f64 (*.f64 -1 (log.f64 (/.f64 1 x)))))
(log.f64 (neg.f64 (*.f64 -1 (log.f64 (/.f64 1 x)))))
(log.f64 (neg.f64 (*.f64 -1 (log.f64 (/.f64 1 x)))))
(log.f64 (neg.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(log.f64 (neg.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(log.f64 (neg.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(log.f64 (neg.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(+.f64 1 (-.f64 (log.f64 x) 1))
(+.f64 0 (log.f64 x))
(+.f64 (log.f64 (sqrt.f64 x)) (log.f64 (sqrt.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 x) 2)) (log.f64 (cbrt.f64 x)))
(-.f64 0 (log.f64 x))
(-.f64 (+.f64 1 (log.f64 x)) 1)
(*.f64 (log.f64 x) 1)
(*.f64 (log.f64 x) -1)
(*.f64 1 (log.f64 x))
(*.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (log.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (cbrt.f64 (log.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (neg.f64 (cbrt.f64 (log.f64 x))))
(*.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)))
(*.f64 (sqrt.f64 (log.f64 x)) (neg.f64 (sqrt.f64 (log.f64 x))))
(*.f64 -1 (log.f64 x))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x)))
(*.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)))
(*.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x)))
(*.f64 (*.f64 -1 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)))
(/.f64 (-.f64 0 (pow.f64 (log.f64 x) 3)) (+.f64 0 (+.f64 (pow.f64 (log.f64 x) 2) (*.f64 0 (log.f64 x)))))
(/.f64 (-.f64 0 (pow.f64 (log.f64 x) 2)) (log.f64 x))
(pow.f64 (log.f64 x) 1)
(pow.f64 (cbrt.f64 (log.f64 x)) 3)
(pow.f64 (pow.f64 (log.f64 x) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 x)) 2)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) 2)) (cbrt.f64 (log.f64 (log.f64 x))))
(pow.f64 (exp.f64 1) (log.f64 (log.f64 x)))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 x)))) (sqrt.f64 (log.f64 (log.f64 x))))
(neg.f64 (log.f64 x))
(sqrt.f64 (pow.f64 (log.f64 x) 2))
(log.f64 x)
(cbrt.f64 (pow.f64 (log.f64 x) 3))
(expm1.f64 (log1p.f64 (log.f64 x)))
(log1p.f64 (-.f64 x 1))
(-.f64 (+.f64 1 (*.f64 x (log.f64 x))) 1)
(pow.f64 (*.f64 x (log.f64 x)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3)
(pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 2)
(neg.f64 (*.f64 x (log.f64 x)))
(sqrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 2))
(log.f64 (pow.f64 x 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 (-.f64 (pow.f64 x x) 1))
(+.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 -1) (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 -1 (log.f64 x))
(neg.f64 (log.f64 x))
(*.f64 -1 (log.f64 x))
(neg.f64 (log.f64 x))
(*.f64 -1 (log.f64 x))
(neg.f64 (log.f64 x))
(*.f64 -1 (log.f64 x))
(neg.f64 (log.f64 x))
(log.f64 (/.f64 1 x))
(neg.f64 (log.f64 x))
(log.f64 (/.f64 1 x))
(neg.f64 (log.f64 x))
(log.f64 (/.f64 1 x))
(neg.f64 (log.f64 x))
(log.f64 (/.f64 1 x))
(neg.f64 (log.f64 x))
(*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(neg.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))
(-.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1))
(*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(neg.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))
(-.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1))
(*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(neg.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))
(-.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1))
(*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(neg.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))
(-.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1))
(*.f64 -1 (*.f64 x (log.f64 x)))
(*.f64 x (neg.f64 (log.f64 x)))
(*.f64 (log.f64 x) (neg.f64 x))
(*.f64 -1 (*.f64 x (log.f64 x)))
(*.f64 x (neg.f64 (log.f64 x)))
(*.f64 (log.f64 x) (neg.f64 x))
(*.f64 -1 (*.f64 x (log.f64 x)))
(*.f64 x (neg.f64 (log.f64 x)))
(*.f64 (log.f64 x) (neg.f64 x))
(*.f64 -1 (*.f64 x (log.f64 x)))
(*.f64 x (neg.f64 (log.f64 x)))
(*.f64 (log.f64 x) (neg.f64 x))
(*.f64 (log.f64 (/.f64 1 x)) x)
(*.f64 x (neg.f64 (log.f64 x)))
(*.f64 (log.f64 x) (neg.f64 x))
(*.f64 (log.f64 (/.f64 1 x)) x)
(*.f64 x (neg.f64 (log.f64 x)))
(*.f64 (log.f64 x) (neg.f64 x))
(*.f64 (log.f64 (/.f64 1 x)) x)
(*.f64 x (neg.f64 (log.f64 x)))
(*.f64 (log.f64 x) (neg.f64 x))
(*.f64 (log.f64 (/.f64 1 x)) x)
(*.f64 x (neg.f64 (log.f64 x)))
(*.f64 (log.f64 x) (neg.f64 x))
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x))
(*.f64 (neg.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) x)
(*.f64 x (-.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)))
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x))
(*.f64 (neg.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) x)
(*.f64 x (-.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)))
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x))
(*.f64 (neg.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) x)
(*.f64 x (-.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)))
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x))
(*.f64 (neg.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) x)
(*.f64 x (-.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)))
(log.f64 (neg.f64 (*.f64 -1 (log.f64 (/.f64 1 x)))))
(log.f64 (*.f64 1 (neg.f64 (log.f64 x))))
(log.f64 (neg.f64 (log.f64 x)))
(log.f64 (neg.f64 (*.f64 -1 (log.f64 (/.f64 1 x)))))
(log.f64 (*.f64 1 (neg.f64 (log.f64 x))))
(log.f64 (neg.f64 (log.f64 x)))
(log.f64 (neg.f64 (*.f64 -1 (log.f64 (/.f64 1 x)))))
(log.f64 (*.f64 1 (neg.f64 (log.f64 x))))
(log.f64 (neg.f64 (log.f64 x)))
(log.f64 (neg.f64 (*.f64 -1 (log.f64 (/.f64 1 x)))))
(log.f64 (*.f64 1 (neg.f64 (log.f64 x))))
(log.f64 (neg.f64 (log.f64 x)))
(log.f64 (neg.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(log.f64 (neg.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))))
(log.f64 (-.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)))
(log.f64 (neg.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(log.f64 (neg.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))))
(log.f64 (-.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)))
(log.f64 (neg.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(log.f64 (neg.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))))
(log.f64 (-.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)))
(log.f64 (neg.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(log.f64 (neg.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))))
(log.f64 (-.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)))
(+.f64 1 (-.f64 (log.f64 x) 1))
(+.f64 1 (+.f64 (log.f64 x) -1))
(log.f64 x)
(+.f64 0 (log.f64 x))
(+.f64 1 (+.f64 (log.f64 x) -1))
(log.f64 x)
(+.f64 (log.f64 (sqrt.f64 x)) (log.f64 (sqrt.f64 x)))
(*.f64 2 (log.f64 (sqrt.f64 x)))
(*.f64 (log.f64 (sqrt.f64 x)) 2)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 x) 2)) (log.f64 (cbrt.f64 x)))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 x))) (log.f64 (cbrt.f64 x)))
(*.f64 3 (log.f64 (cbrt.f64 x)))
(*.f64 (log.f64 (cbrt.f64 x)) 3)
(-.f64 0 (log.f64 x))
(neg.f64 (log.f64 x))
(-.f64 (+.f64 1 (log.f64 x)) 1)
(+.f64 1 (+.f64 (log.f64 x) -1))
(log.f64 x)
(*.f64 (log.f64 x) 1)
(+.f64 1 (+.f64 (log.f64 x) -1))
(log.f64 x)
(*.f64 (log.f64 x) -1)
(neg.f64 (log.f64 x))
(*.f64 1 (log.f64 x))
(+.f64 1 (+.f64 (log.f64 x) -1))
(log.f64 x)
(*.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (log.f64 x)) 2))
(+.f64 1 (+.f64 (log.f64 x) -1))
(log.f64 x)
(*.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (cbrt.f64 (log.f64 x)))
(+.f64 1 (+.f64 (log.f64 x) -1))
(log.f64 x)
(*.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (neg.f64 (cbrt.f64 (log.f64 x))))
(neg.f64 (log.f64 x))
(*.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)))
(+.f64 1 (+.f64 (log.f64 x) -1))
(log.f64 x)
(*.f64 (sqrt.f64 (log.f64 x)) (neg.f64 (sqrt.f64 (log.f64 x))))
(neg.f64 (log.f64 x))
(*.f64 -1 (log.f64 x))
(neg.f64 (log.f64 x))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x)))
(neg.f64 (log.f64 x))
(*.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)))
(neg.f64 (log.f64 x))
(*.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x)))
(neg.f64 (log.f64 x))
(*.f64 (*.f64 -1 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)))
(neg.f64 (log.f64 x))
(/.f64 (-.f64 0 (pow.f64 (log.f64 x) 3)) (+.f64 0 (+.f64 (pow.f64 (log.f64 x) 2) (*.f64 0 (log.f64 x)))))
(neg.f64 (log.f64 x))
(/.f64 (-.f64 0 (pow.f64 (log.f64 x) 2)) (log.f64 x))
(neg.f64 (log.f64 x))
(pow.f64 (log.f64 x) 1)
(+.f64 1 (+.f64 (log.f64 x) -1))
(log.f64 x)
(pow.f64 (cbrt.f64 (log.f64 x)) 3)
(+.f64 1 (+.f64 (log.f64 x) -1))
(log.f64 x)
(pow.f64 (pow.f64 (log.f64 x) 3) 1/3)
(+.f64 1 (+.f64 (log.f64 x) -1))
(log.f64 x)
(pow.f64 (sqrt.f64 (log.f64 x)) 2)
(+.f64 1 (+.f64 (log.f64 x) -1))
(log.f64 x)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) 2)) (cbrt.f64 (log.f64 (log.f64 x))))
(+.f64 1 (+.f64 (log.f64 x) -1))
(log.f64 x)
(pow.f64 (exp.f64 1) (log.f64 (log.f64 x)))
(+.f64 1 (+.f64 (log.f64 x) -1))
(log.f64 x)
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 x)))) (sqrt.f64 (log.f64 (log.f64 x))))
(+.f64 1 (+.f64 (log.f64 x) -1))
(log.f64 x)
(neg.f64 (log.f64 x))
(sqrt.f64 (pow.f64 (log.f64 x) 2))
(+.f64 1 (+.f64 (log.f64 x) -1))
(log.f64 x)
(log.f64 x)
(+.f64 1 (+.f64 (log.f64 x) -1))
(cbrt.f64 (pow.f64 (log.f64 x) 3))
(+.f64 1 (+.f64 (log.f64 x) -1))
(log.f64 x)
(expm1.f64 (log1p.f64 (log.f64 x)))
(+.f64 1 (+.f64 (log.f64 x) -1))
(log.f64 x)
(log1p.f64 (-.f64 x 1))
(log1p.f64 (+.f64 x -1))
(log1p.f64 (+.f64 -1 x))
(-.f64 (+.f64 1 (*.f64 x (log.f64 x))) 1)
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1))
(+.f64 (*.f64 x (log.f64 x)) 0)
(*.f64 x (log.f64 x))
(pow.f64 (*.f64 x (log.f64 x)) 1)
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1))
(+.f64 (*.f64 x (log.f64 x)) 0)
(*.f64 x (log.f64 x))
(pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3)
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1))
(+.f64 (*.f64 x (log.f64 x)) 0)
(*.f64 x (log.f64 x))
(pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) 1/3)
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1))
(+.f64 (*.f64 x (log.f64 x)) 0)
(*.f64 x (log.f64 x))
(pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 2)
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1))
(+.f64 (*.f64 x (log.f64 x)) 0)
(*.f64 x (log.f64 x))
(neg.f64 (*.f64 x (log.f64 x)))
(*.f64 x (neg.f64 (log.f64 x)))
(*.f64 (log.f64 x) (neg.f64 x))
(sqrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 2))
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1))
(+.f64 (*.f64 x (log.f64 x)) 0)
(*.f64 x (log.f64 x))
(log.f64 (pow.f64 x x))
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1))
(+.f64 (*.f64 x (log.f64 x)) 0)
(*.f64 x (log.f64 x))
(cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3))
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1))
(+.f64 (*.f64 x (log.f64 x)) 0)
(*.f64 x (log.f64 x))
(expm1.f64 (log1p.f64 (*.f64 x (log.f64 x))))
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1))
(+.f64 (*.f64 x (log.f64 x)) 0)
(*.f64 x (log.f64 x))
(exp.f64 (log.f64 (*.f64 x (log.f64 x))))
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1))
(+.f64 (*.f64 x (log.f64 x)) 0)
(*.f64 x (log.f64 x))
(log1p.f64 (-.f64 (pow.f64 x x) 1))
(log1p.f64 (+.f64 (pow.f64 x x) -1))
(log1p.f64 (+.f64 -1 (pow.f64 x x)))
(+.f64 0 (log.f64 (log.f64 x)))
(log.f64 (log.f64 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (log.f64 (cbrt.f64 (log.f64 x))))
(log.f64 (log.f64 x))
(+.f64 (log.f64 -1) (log.f64 (log.f64 x)))
(log.f64 (*.f64 1 (neg.f64 (log.f64 x))))
(log.f64 (neg.f64 (log.f64 x)))
(+.f64 (log.f64 (sqrt.f64 (log.f64 x))) (log.f64 (sqrt.f64 (log.f64 x))))
(log.f64 (log.f64 x))
(-.f64 (+.f64 1 (log.f64 (log.f64 x))) 1)
(log.f64 (log.f64 x))
(*.f64 (log.f64 (log.f64 x)) 1)
(log.f64 (log.f64 x))
(*.f64 1 (log.f64 (log.f64 x)))
(log.f64 (log.f64 x))
(*.f64 (cbrt.f64 (log.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) 2))
(log.f64 (log.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) 2) (cbrt.f64 (log.f64 (log.f64 x))))
(log.f64 (log.f64 x))
(*.f64 (sqrt.f64 (log.f64 (log.f64 x))) (sqrt.f64 (log.f64 (log.f64 x))))
(log.f64 (log.f64 x))
(pow.f64 (log.f64 (log.f64 x)) 1)
(log.f64 (log.f64 x))
(pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) 3)
(log.f64 (log.f64 x))
(pow.f64 (pow.f64 (log.f64 (log.f64 x)) 3) 1/3)
(log.f64 (log.f64 x))
(pow.f64 (sqrt.f64 (log.f64 (log.f64 x))) 2)
(log.f64 (log.f64 x))
(sqrt.f64 (pow.f64 (log.f64 (log.f64 x)) 2))
(log.f64 (log.f64 x))
(cbrt.f64 (pow.f64 (log.f64 (log.f64 x)) 3))
(log.f64 (log.f64 x))
(expm1.f64 (log1p.f64 (log.f64 (log.f64 x))))
(log.f64 (log.f64 x))
(exp.f64 (log.f64 (log.f64 (log.f64 x))))
(log.f64 (log.f64 x))
(log1p.f64 (-.f64 (log.f64 x) 1))
(log.f64 (log.f64 x))

localize16.0ms (0.3%)

Local Accuracy

Found 3 expressions with local accuracy:

NewAccuracyProgram
99.9%
(sqrt.f64 (log.f64 x))
99.7%
(*.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 x))
99.6%
(pow.f64 (*.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 x)) 2)
Compiler

Compiled 24 to 8 computations (66.7% saved)

series3.0ms (0%)

Counts
2 → 0
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@0
(*.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 x))
1.0ms
x
@-inf
(pow.f64 (*.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 x)) 2)
0.0ms
x
@0
(pow.f64 (*.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 x)) 2)
0.0ms
x
@inf
(pow.f64 (*.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 x)) 2)
0.0ms
x
@-inf
(*.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 x))

rewrite59.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
1618×pow1
1484×add-exp-log
1484×log1p-expm1-u
1484×expm1-log1p-u
1444×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01036
120126
2222826
Stop Event
node limit
Counts
2 → 42
Calls
Call 1
Inputs
(pow.f64 (*.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 x)) 2)
(*.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 x))
Outputs
(-.f64 (+.f64 1 (*.f64 x (log.f64 x))) 1)
(*.f64 x (log.f64 x))
(*.f64 (log.f64 x) x)
(*.f64 (sqrt.f64 (log.f64 x)) (*.f64 (sqrt.f64 (log.f64 x)) x))
(*.f64 (sqrt.f64 (log.f64 x)) (*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x (log.f64 x)))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (*.f64 x (log.f64 x)))))
(*.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (sqrt.f64 (*.f64 x (log.f64 x))))
(*.f64 (*.f64 x (log.f64 x)) 1)
(*.f64 1 (*.f64 x (log.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (*.f64 (cbrt.f64 (log.f64 x)) x))
(*.f64 (cbrt.f64 (*.f64 x (log.f64 x))) (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2))
(*.f64 (cbrt.f64 (*.f64 x (log.f64 x))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (log.f64 x)))) (sqrt.f64 (*.f64 x (log.f64 x)))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) (cbrt.f64 (*.f64 x (log.f64 x))))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (log.f64 x)))) (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (log.f64 x)))) (sqrt.f64 (*.f64 x (log.f64 x)))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (sqrt.f64 (sqrt.f64 (*.f64 x (log.f64 x))))) (sqrt.f64 (sqrt.f64 (*.f64 x (log.f64 x)))))
(*.f64 (*.f64 (log.f64 x) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (*.f64 (log.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (*.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (sqrt.f64 (log.f64 x))) (sqrt.f64 x))
(*.f64 (*.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (sqrt.f64 x)) (sqrt.f64 (log.f64 x)))
(*.f64 (*.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (cbrt.f64 (*.f64 x (log.f64 x)))) (cbrt.f64 (sqrt.f64 (*.f64 x (log.f64 x)))))
(sqrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 2))
(log.f64 (pow.f64 x x))
(cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 x) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x (log.f64 x))))
(exp.f64 (log.f64 (*.f64 x (log.f64 x))))
(log1p.f64 (-.f64 (pow.f64 x x) 1))
(-.f64 (+.f64 1 (sqrt.f64 (*.f64 x (log.f64 x)))) 1)
(pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 1)
(pow.f64 (*.f64 x (log.f64 x)) 1/2)
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (log.f64 x)))) 3)
(pow.f64 (pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (log.f64 x)))) 2)
(sqrt.f64 (*.f64 x (log.f64 x)))
(fabs.f64 (sqrt.f64 (*.f64 x (log.f64 x))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 x (log.f64 x)))))
(cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 3))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 x) 3/2) (pow.f64 x 3/2)))
(cbrt.f64 (*.f64 (pow.f64 x 3/2) (pow.f64 (log.f64 x) 3/2)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 x (log.f64 x)))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 x (log.f64 x)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 x (log.f64 x)))))

simplify72.0ms (1.3%)

Algorithm
egg-herbie
Rules
1308×fma-def
1168×distribute-rgt-in
1132×distribute-lft-in
946×associate-+r+
840×associate-+l+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0951084
1211874
2769664
32207664
47724664
Stop Event
node limit
Counts
42 → 48
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (*.f64 x (log.f64 x))) 1)
(*.f64 x (log.f64 x))
(*.f64 (log.f64 x) x)
(*.f64 (sqrt.f64 (log.f64 x)) (*.f64 (sqrt.f64 (log.f64 x)) x))
(*.f64 (sqrt.f64 (log.f64 x)) (*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x (log.f64 x)))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (*.f64 x (log.f64 x)))))
(*.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (sqrt.f64 (*.f64 x (log.f64 x))))
(*.f64 (*.f64 x (log.f64 x)) 1)
(*.f64 1 (*.f64 x (log.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (*.f64 (cbrt.f64 (log.f64 x)) x))
(*.f64 (cbrt.f64 (*.f64 x (log.f64 x))) (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2))
(*.f64 (cbrt.f64 (*.f64 x (log.f64 x))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (log.f64 x)))) (sqrt.f64 (*.f64 x (log.f64 x)))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) (cbrt.f64 (*.f64 x (log.f64 x))))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (log.f64 x)))) (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (log.f64 x)))) (sqrt.f64 (*.f64 x (log.f64 x)))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (sqrt.f64 (sqrt.f64 (*.f64 x (log.f64 x))))) (sqrt.f64 (sqrt.f64 (*.f64 x (log.f64 x)))))
(*.f64 (*.f64 (log.f64 x) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (*.f64 (log.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (*.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (sqrt.f64 (log.f64 x))) (sqrt.f64 x))
(*.f64 (*.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (sqrt.f64 x)) (sqrt.f64 (log.f64 x)))
(*.f64 (*.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (cbrt.f64 (*.f64 x (log.f64 x)))) (cbrt.f64 (sqrt.f64 (*.f64 x (log.f64 x)))))
(sqrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 2))
(log.f64 (pow.f64 x x))
(cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 x) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x (log.f64 x))))
(exp.f64 (log.f64 (*.f64 x (log.f64 x))))
(log1p.f64 (-.f64 (pow.f64 x x) 1))
(-.f64 (+.f64 1 (sqrt.f64 (*.f64 x (log.f64 x)))) 1)
(pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 1)
(pow.f64 (*.f64 x (log.f64 x)) 1/2)
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (log.f64 x)))) 3)
(pow.f64 (pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (log.f64 x)))) 2)
(sqrt.f64 (*.f64 x (log.f64 x)))
(fabs.f64 (sqrt.f64 (*.f64 x (log.f64 x))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 x (log.f64 x)))))
(cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 3))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 x) 3/2) (pow.f64 x 3/2)))
(cbrt.f64 (*.f64 (pow.f64 x 3/2) (pow.f64 (log.f64 x) 3/2)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 x (log.f64 x)))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 x (log.f64 x)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 x (log.f64 x)))))
Outputs
(-.f64 (+.f64 1 (*.f64 x (log.f64 x))) 1)
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1))
(+.f64 (*.f64 x (log.f64 x)) 0)
(*.f64 x (log.f64 x))
(*.f64 x (log.f64 x))
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1))
(+.f64 (*.f64 x (log.f64 x)) 0)
(*.f64 (log.f64 x) x)
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1))
(+.f64 (*.f64 x (log.f64 x)) 0)
(*.f64 x (log.f64 x))
(*.f64 (sqrt.f64 (log.f64 x)) (*.f64 (sqrt.f64 (log.f64 x)) x))
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1))
(+.f64 (*.f64 x (log.f64 x)) 0)
(*.f64 x (log.f64 x))
(*.f64 (sqrt.f64 (log.f64 x)) (*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x (log.f64 x)))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (*.f64 x (log.f64 x)))))
(*.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (*.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (*.f64 x (log.f64 x)))))
(*.f64 (sqrt.f64 (log.f64 x)) (*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x (log.f64 x)))))
(*.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (*.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 x)))
(*.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (sqrt.f64 (*.f64 x (log.f64 x))))
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1))
(+.f64 (*.f64 x (log.f64 x)) 0)
(*.f64 x (log.f64 x))
(*.f64 (*.f64 x (log.f64 x)) 1)
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1))
(+.f64 (*.f64 x (log.f64 x)) 0)
(*.f64 x (log.f64 x))
(*.f64 1 (*.f64 x (log.f64 x)))
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1))
(+.f64 (*.f64 x (log.f64 x)) 0)
(*.f64 x (log.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (*.f64 (cbrt.f64 (log.f64 x)) x))
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1))
(+.f64 (*.f64 x (log.f64 x)) 0)
(*.f64 x (log.f64 x))
(*.f64 (cbrt.f64 (*.f64 x (log.f64 x))) (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2))
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1))
(+.f64 (*.f64 x (log.f64 x)) 0)
(*.f64 x (log.f64 x))
(*.f64 (cbrt.f64 (*.f64 x (log.f64 x))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (log.f64 x)))) (sqrt.f64 (*.f64 x (log.f64 x)))))
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1))
(+.f64 (*.f64 x (log.f64 x)) 0)
(*.f64 x (log.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) (cbrt.f64 (*.f64 x (log.f64 x))))
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1))
(+.f64 (*.f64 x (log.f64 x)) 0)
(*.f64 x (log.f64 x))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (log.f64 x)))) (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (log.f64 x)))) (sqrt.f64 (*.f64 x (log.f64 x)))))
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1))
(+.f64 (*.f64 x (log.f64 x)) 0)
(*.f64 x (log.f64 x))
(*.f64 (*.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (sqrt.f64 (sqrt.f64 (*.f64 x (log.f64 x))))) (sqrt.f64 (sqrt.f64 (*.f64 x (log.f64 x)))))
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1))
(+.f64 (*.f64 x (log.f64 x)) 0)
(*.f64 x (log.f64 x))
(*.f64 (*.f64 (log.f64 x) (sqrt.f64 x)) (sqrt.f64 x))
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1))
(+.f64 (*.f64 x (log.f64 x)) 0)
(*.f64 x (log.f64 x))
(*.f64 (*.f64 (log.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1))
(+.f64 (*.f64 x (log.f64 x)) 0)
(*.f64 x (log.f64 x))
(*.f64 (*.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (sqrt.f64 (log.f64 x))) (sqrt.f64 x))
(*.f64 (sqrt.f64 (log.f64 x)) (*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x (log.f64 x)))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (*.f64 x (log.f64 x)))))
(*.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (*.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 x)))
(*.f64 (*.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (sqrt.f64 x)) (sqrt.f64 (log.f64 x)))
(*.f64 (sqrt.f64 (log.f64 x)) (*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x (log.f64 x)))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (*.f64 x (log.f64 x)))))
(*.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (*.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 x)))
(*.f64 (*.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (cbrt.f64 (*.f64 x (log.f64 x)))) (cbrt.f64 (sqrt.f64 (*.f64 x (log.f64 x)))))
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1))
(+.f64 (*.f64 x (log.f64 x)) 0)
(*.f64 x (log.f64 x))
(sqrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 2))
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1))
(+.f64 (*.f64 x (log.f64 x)) 0)
(*.f64 x (log.f64 x))
(log.f64 (pow.f64 x x))
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1))
(+.f64 (*.f64 x (log.f64 x)) 0)
(*.f64 x (log.f64 x))
(cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3))
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1))
(+.f64 (*.f64 x (log.f64 x)) 0)
(*.f64 x (log.f64 x))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 x) 3) (pow.f64 x 3)))
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1))
(+.f64 (*.f64 x (log.f64 x)) 0)
(*.f64 x (log.f64 x))
(expm1.f64 (log1p.f64 (*.f64 x (log.f64 x))))
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1))
(+.f64 (*.f64 x (log.f64 x)) 0)
(*.f64 x (log.f64 x))
(exp.f64 (log.f64 (*.f64 x (log.f64 x))))
(+.f64 1 (-.f64 (*.f64 x (log.f64 x)) 1))
(+.f64 (*.f64 x (log.f64 x)) 0)
(*.f64 x (log.f64 x))
(log1p.f64 (-.f64 (pow.f64 x x) 1))
(log1p.f64 (+.f64 (pow.f64 x x) -1))
(-.f64 (+.f64 1 (sqrt.f64 (*.f64 x (log.f64 x)))) 1)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 1))
(+.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 0)
(sqrt.f64 (*.f64 x (log.f64 x)))
(pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 1)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 1))
(+.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 0)
(sqrt.f64 (*.f64 x (log.f64 x)))
(pow.f64 (*.f64 x (log.f64 x)) 1/2)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 1))
(+.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 0)
(sqrt.f64 (*.f64 x (log.f64 x)))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (log.f64 x)))) 3)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 1))
(+.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 0)
(sqrt.f64 (*.f64 x (log.f64 x)))
(pow.f64 (pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 3) 1/3)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 1))
(+.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 0)
(sqrt.f64 (*.f64 x (log.f64 x)))
(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (log.f64 x)))) 2)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 1))
(+.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 0)
(sqrt.f64 (*.f64 x (log.f64 x)))
(sqrt.f64 (*.f64 x (log.f64 x)))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 1))
(+.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 0)
(fabs.f64 (sqrt.f64 (*.f64 x (log.f64 x))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 1))
(+.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 0)
(sqrt.f64 (*.f64 x (log.f64 x)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 x (log.f64 x)))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 1))
(+.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 0)
(sqrt.f64 (*.f64 x (log.f64 x)))
(cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 3))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 1))
(+.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 0)
(sqrt.f64 (*.f64 x (log.f64 x)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 x) 3/2) (pow.f64 x 3/2)))
(cbrt.f64 (*.f64 (pow.f64 x 3/2) (pow.f64 (log.f64 x) 3/2)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 x) 3/2) (pow.f64 x 3/2)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 x (log.f64 x)))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 1))
(+.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 0)
(sqrt.f64 (*.f64 x (log.f64 x)))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 x (log.f64 x)))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 1))
(+.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 0)
(sqrt.f64 (*.f64 x (log.f64 x)))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 x (log.f64 x)))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 1))
(+.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 0)
(sqrt.f64 (*.f64 x (log.f64 x)))

localize13.0ms (0.2%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
99.9%
(sqrt.f64 (log.f64 x))
99.7%
(*.f64 (sqrt.f64 (*.f64 (log.f64 x) (*.f64 x x))) (sqrt.f64 (log.f64 x)))
99.6%
(*.f64 (log.f64 x) (*.f64 x x))
55.4%
(sqrt.f64 (*.f64 (log.f64 x) (*.f64 x x)))
Compiler

Compiled 34 to 7 computations (79.4% saved)

series2.0ms (0%)

Counts
3 → 36
Calls

9 calls:

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

rewrite96.0ms (1.7%)

Algorithm
batch-egg-rewrite
Rules
1708×pow1
1566×add-exp-log
1566×log1p-expm1-u
1566×expm1-log1p-u
1524×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01069
119743
2234743
Stop Event
node limit
Counts
3 → 54
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 (log.f64 x) (*.f64 x x)))
(*.f64 (log.f64 x) (*.f64 x x))
(*.f64 (sqrt.f64 (*.f64 (log.f64 x) (*.f64 x x))) (sqrt.f64 (log.f64 x)))
Outputs
(-.f64 (+.f64 1 (*.f64 x (sqrt.f64 (log.f64 x)))) 1)
(*.f64 x (sqrt.f64 (log.f64 x)))
(*.f64 (*.f64 x (sqrt.f64 (log.f64 x))) 1)
(*.f64 (sqrt.f64 (log.f64 x)) x)
(*.f64 1 (*.f64 x (sqrt.f64 (log.f64 x))))
(*.f64 (cbrt.f64 (*.f64 x (sqrt.f64 (log.f64 x)))) (cbrt.f64 (*.f64 x (*.f64 x (log.f64 x)))))
(*.f64 (cbrt.f64 (log.f64 x)) (*.f64 (cbrt.f64 (sqrt.f64 (log.f64 x))) x))
(*.f64 (cbrt.f64 (*.f64 x (*.f64 x (log.f64 x)))) (cbrt.f64 (*.f64 x (sqrt.f64 (log.f64 x)))))
(*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (log.f64 x)))) (sqrt.f64 (*.f64 x (sqrt.f64 (log.f64 x)))))
(*.f64 (pow.f64 (log.f64 x) 1/4) (*.f64 (pow.f64 (log.f64 x) 1/4) x))
(*.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (sqrt.f64 x))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x (log.f64 x)))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 x (*.f64 x (log.f64 x))))))
(*.f64 (pow.f64 1 1/2) (*.f64 x (sqrt.f64 (log.f64 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x (log.f64 x)))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x (log.f64 x)))) 1/2))
(pow.f64 (*.f64 x (*.f64 x (log.f64 x))) 1/2)
(pow.f64 (*.f64 x (sqrt.f64 (log.f64 x))) 1)
(pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 (log.f64 x)))) 3)
(pow.f64 (pow.f64 (*.f64 x (sqrt.f64 (log.f64 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (log.f64 x)))) 2)
(fabs.f64 (*.f64 x (sqrt.f64 (log.f64 x))))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 x))) x))
(cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (log.f64 x))) 3))
(expm1.f64 (log1p.f64 (*.f64 x (sqrt.f64 (log.f64 x)))))
(exp.f64 (log.f64 (*.f64 x (sqrt.f64 (log.f64 x)))))
(log1p.f64 (expm1.f64 (*.f64 x (sqrt.f64 (log.f64 x)))))
(-.f64 (+.f64 1 (*.f64 x (*.f64 x (log.f64 x)))) 1)
(pow.f64 (*.f64 x (*.f64 x (log.f64 x))) 1)
(pow.f64 (*.f64 x (sqrt.f64 (log.f64 x))) 2)
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 x (log.f64 x)))) 3)
(pow.f64 (*.f64 (pow.f64 (log.f64 x) 2) (pow.f64 x 4)) 1/2)
(pow.f64 (pow.f64 (*.f64 x (*.f64 x (log.f64 x))) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 (log.f64 x) 2) (pow.f64 x 4)))
(log.f64 (pow.f64 x (*.f64 x x)))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 x (log.f64 x))) 3))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (*.f64 x x) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (log.f64 x) 3)))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 x (log.f64 x)))))
(exp.f64 (log.f64 (*.f64 x (*.f64 x (log.f64 x)))))
(log1p.f64 (-.f64 (pow.f64 x (*.f64 x x)) 1))
(-.f64 (+.f64 1 (*.f64 x (log.f64 x))) 1)
(pow.f64 (*.f64 x (log.f64 x)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3)
(pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 2)
(pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) 1/2)
(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))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 x) 3) (pow.f64 x 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x (sqrt.f64 (log.f64 x))) 3) (pow.f64 (log.f64 x) 3/2)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 x) 3/2) (pow.f64 (*.f64 x (sqrt.f64 (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))))

simplify70.0ms (1.3%)

Algorithm
egg-herbie
Rules
1398×log-prod
1246×unswap-sqr
544×*-commutative
508×fma-neg
404×fma-def
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01451560
13321544
212371544
345091416
Stop Event
node limit
Counts
90 → 84
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (log.f64 x)) x)
(*.f64 (sqrt.f64 (log.f64 x)) x)
(*.f64 (sqrt.f64 (log.f64 x)) x)
(*.f64 (sqrt.f64 (log.f64 x)) x)
(*.f64 (*.f64 (sqrt.f64 -1) x) (sqrt.f64 (log.f64 (/.f64 1 x))))
(*.f64 (*.f64 (sqrt.f64 -1) x) (sqrt.f64 (log.f64 (/.f64 1 x))))
(*.f64 (*.f64 (sqrt.f64 -1) x) (sqrt.f64 (log.f64 (/.f64 1 x))))
(*.f64 (*.f64 (sqrt.f64 -1) x) (sqrt.f64 (log.f64 (/.f64 1 x))))
(*.f64 -1 (*.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) x))
(*.f64 -1 (*.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) x))
(*.f64 -1 (*.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) x))
(*.f64 -1 (*.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) x))
(*.f64 (log.f64 x) (pow.f64 x 2))
(*.f64 (log.f64 x) (pow.f64 x 2))
(*.f64 (log.f64 x) (pow.f64 x 2))
(*.f64 (log.f64 x) (pow.f64 x 2))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 2)))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 2)))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 2)))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 2)))
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 x 2))
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 x 2))
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 x 2))
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 x 2))
(*.f64 (log.f64 x) x)
(*.f64 (log.f64 x) x)
(*.f64 (log.f64 x) x)
(*.f64 (log.f64 x) x)
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x))
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x))
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x))
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x))
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x))
(-.f64 (+.f64 1 (*.f64 x (sqrt.f64 (log.f64 x)))) 1)
(*.f64 x (sqrt.f64 (log.f64 x)))
(*.f64 (*.f64 x (sqrt.f64 (log.f64 x))) 1)
(*.f64 (sqrt.f64 (log.f64 x)) x)
(*.f64 1 (*.f64 x (sqrt.f64 (log.f64 x))))
(*.f64 (cbrt.f64 (*.f64 x (sqrt.f64 (log.f64 x)))) (cbrt.f64 (*.f64 x (*.f64 x (log.f64 x)))))
(*.f64 (cbrt.f64 (log.f64 x)) (*.f64 (cbrt.f64 (sqrt.f64 (log.f64 x))) x))
(*.f64 (cbrt.f64 (*.f64 x (*.f64 x (log.f64 x)))) (cbrt.f64 (*.f64 x (sqrt.f64 (log.f64 x)))))
(*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (log.f64 x)))) (sqrt.f64 (*.f64 x (sqrt.f64 (log.f64 x)))))
(*.f64 (pow.f64 (log.f64 x) 1/4) (*.f64 (pow.f64 (log.f64 x) 1/4) x))
(*.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (sqrt.f64 x))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x (log.f64 x)))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 x (*.f64 x (log.f64 x))))))
(*.f64 (pow.f64 1 1/2) (*.f64 x (sqrt.f64 (log.f64 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x (log.f64 x)))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x (log.f64 x)))) 1/2))
(pow.f64 (*.f64 x (*.f64 x (log.f64 x))) 1/2)
(pow.f64 (*.f64 x (sqrt.f64 (log.f64 x))) 1)
(pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 (log.f64 x)))) 3)
(pow.f64 (pow.f64 (*.f64 x (sqrt.f64 (log.f64 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (log.f64 x)))) 2)
(fabs.f64 (*.f64 x (sqrt.f64 (log.f64 x))))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 x))) x))
(cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (log.f64 x))) 3))
(expm1.f64 (log1p.f64 (*.f64 x (sqrt.f64 (log.f64 x)))))
(exp.f64 (log.f64 (*.f64 x (sqrt.f64 (log.f64 x)))))
(log1p.f64 (expm1.f64 (*.f64 x (sqrt.f64 (log.f64 x)))))
(-.f64 (+.f64 1 (*.f64 x (*.f64 x (log.f64 x)))) 1)
(pow.f64 (*.f64 x (*.f64 x (log.f64 x))) 1)
(pow.f64 (*.f64 x (sqrt.f64 (log.f64 x))) 2)
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 x (log.f64 x)))) 3)
(pow.f64 (*.f64 (pow.f64 (log.f64 x) 2) (pow.f64 x 4)) 1/2)
(pow.f64 (pow.f64 (*.f64 x (*.f64 x (log.f64 x))) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 (log.f64 x) 2) (pow.f64 x 4)))
(log.f64 (pow.f64 x (*.f64 x x)))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 x (log.f64 x))) 3))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (*.f64 x x) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (log.f64 x) 3)))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 x (log.f64 x)))))
(exp.f64 (log.f64 (*.f64 x (*.f64 x (log.f64 x)))))
(log1p.f64 (-.f64 (pow.f64 x (*.f64 x x)) 1))
(-.f64 (+.f64 1 (*.f64 x (log.f64 x))) 1)
(pow.f64 (*.f64 x (log.f64 x)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3)
(pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 2)
(pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) 1/2)
(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))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 x) 3) (pow.f64 x 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x (sqrt.f64 (log.f64 x))) 3) (pow.f64 (log.f64 x) 3/2)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 x) 3/2) (pow.f64 (*.f64 x (sqrt.f64 (log.f64 x))) 3)))
(expm1.f64 (log1p.f64 (*.f64 x (log.f64 x))))
(exp.f64 (log.f64 (*.f64 x (log.f64 x))))
(log1p.f64 (expm1.f64 (*.f64 x (log.f64 x))))
Outputs
(*.f64 (sqrt.f64 (log.f64 x)) x)
(*.f64 x (sqrt.f64 (log.f64 x)))
(*.f64 (sqrt.f64 (log.f64 x)) x)
(*.f64 x (sqrt.f64 (log.f64 x)))
(*.f64 (sqrt.f64 (log.f64 x)) x)
(*.f64 x (sqrt.f64 (log.f64 x)))
(*.f64 (sqrt.f64 (log.f64 x)) x)
(*.f64 x (sqrt.f64 (log.f64 x)))
(*.f64 (*.f64 (sqrt.f64 -1) x) (sqrt.f64 (log.f64 (/.f64 1 x))))
(*.f64 (*.f64 x (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (log.f64 x))))
(*.f64 x (*.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 (log.f64 x)))))
(*.f64 (sqrt.f64 -1) (*.f64 x (sqrt.f64 (neg.f64 (log.f64 x)))))
(*.f64 (*.f64 (sqrt.f64 -1) x) (sqrt.f64 (log.f64 (/.f64 1 x))))
(*.f64 (*.f64 x (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (log.f64 x))))
(*.f64 x (*.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 (log.f64 x)))))
(*.f64 (sqrt.f64 -1) (*.f64 x (sqrt.f64 (neg.f64 (log.f64 x)))))
(*.f64 (*.f64 (sqrt.f64 -1) x) (sqrt.f64 (log.f64 (/.f64 1 x))))
(*.f64 (*.f64 x (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (log.f64 x))))
(*.f64 x (*.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 (log.f64 x)))))
(*.f64 (sqrt.f64 -1) (*.f64 x (sqrt.f64 (neg.f64 (log.f64 x)))))
(*.f64 (*.f64 (sqrt.f64 -1) x) (sqrt.f64 (log.f64 (/.f64 1 x))))
(*.f64 (*.f64 x (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (log.f64 x))))
(*.f64 x (*.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 (log.f64 x)))))
(*.f64 (sqrt.f64 -1) (*.f64 x (sqrt.f64 (neg.f64 (log.f64 x)))))
(*.f64 -1 (*.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) x))
(neg.f64 (*.f64 x (sqrt.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))))
(*.f64 (sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (neg.f64 x))
(*.f64 (sqrt.f64 (log.f64 x)) (neg.f64 x))
(*.f64 -1 (*.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) x))
(neg.f64 (*.f64 x (sqrt.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))))
(*.f64 (sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (neg.f64 x))
(*.f64 (sqrt.f64 (log.f64 x)) (neg.f64 x))
(*.f64 -1 (*.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) x))
(neg.f64 (*.f64 x (sqrt.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))))
(*.f64 (sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (neg.f64 x))
(*.f64 (sqrt.f64 (log.f64 x)) (neg.f64 x))
(*.f64 -1 (*.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) x))
(neg.f64 (*.f64 x (sqrt.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))))
(*.f64 (sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (neg.f64 x))
(*.f64 (sqrt.f64 (log.f64 x)) (neg.f64 x))
(*.f64 (log.f64 x) (pow.f64 x 2))
(*.f64 (log.f64 x) (*.f64 x x))
(*.f64 x (*.f64 x (log.f64 x)))
(*.f64 x (log.f64 (pow.f64 x x)))
(*.f64 (log.f64 x) (pow.f64 x 2))
(*.f64 (log.f64 x) (*.f64 x x))
(*.f64 x (*.f64 x (log.f64 x)))
(*.f64 x (log.f64 (pow.f64 x x)))
(*.f64 (log.f64 x) (pow.f64 x 2))
(*.f64 (log.f64 x) (*.f64 x x))
(*.f64 x (*.f64 x (log.f64 x)))
(*.f64 x (log.f64 (pow.f64 x x)))
(*.f64 (log.f64 x) (pow.f64 x 2))
(*.f64 (log.f64 x) (*.f64 x x))
(*.f64 x (*.f64 x (log.f64 x)))
(*.f64 x (log.f64 (pow.f64 x x)))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 2)))
(*.f64 (log.f64 x) (*.f64 x x))
(*.f64 x (*.f64 x (log.f64 x)))
(*.f64 x (log.f64 (pow.f64 x x)))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 2)))
(*.f64 (log.f64 x) (*.f64 x x))
(*.f64 x (*.f64 x (log.f64 x)))
(*.f64 x (log.f64 (pow.f64 x x)))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 2)))
(*.f64 (log.f64 x) (*.f64 x x))
(*.f64 x (*.f64 x (log.f64 x)))
(*.f64 x (log.f64 (pow.f64 x x)))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 2)))
(*.f64 (log.f64 x) (*.f64 x x))
(*.f64 x (*.f64 x (log.f64 x)))
(*.f64 x (log.f64 (pow.f64 x x)))
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 x 2))
(*.f64 (log.f64 x) (*.f64 x x))
(*.f64 x (*.f64 x (log.f64 x)))
(*.f64 x (log.f64 (pow.f64 x x)))
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 x 2))
(*.f64 (log.f64 x) (*.f64 x x))
(*.f64 x (*.f64 x (log.f64 x)))
(*.f64 x (log.f64 (pow.f64 x x)))
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 x 2))
(*.f64 (log.f64 x) (*.f64 x x))
(*.f64 x (*.f64 x (log.f64 x)))
(*.f64 x (log.f64 (pow.f64 x x)))
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 x 2))
(*.f64 (log.f64 x) (*.f64 x x))
(*.f64 x (*.f64 x (log.f64 x)))
(*.f64 x (log.f64 (pow.f64 x x)))
(*.f64 (log.f64 x) x)
(*.f64 x (log.f64 x))
(log.f64 (pow.f64 x x))
(*.f64 (log.f64 x) x)
(*.f64 x (log.f64 x))
(log.f64 (pow.f64 x x))
(*.f64 (log.f64 x) x)
(*.f64 x (log.f64 x))
(log.f64 (pow.f64 x x))
(*.f64 (log.f64 x) x)
(*.f64 x (log.f64 x))
(log.f64 (pow.f64 x x))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x))
(*.f64 x (log.f64 x))
(log.f64 (pow.f64 x x))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x))
(*.f64 x (log.f64 x))
(log.f64 (pow.f64 x x))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x))
(*.f64 x (log.f64 x))
(log.f64 (pow.f64 x x))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x))
(*.f64 x (log.f64 x))
(log.f64 (pow.f64 x x))
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x))
(neg.f64 (*.f64 x (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))))
(*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (neg.f64 x))
(*.f64 x (neg.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))
(*.f64 (log.f64 x) (neg.f64 x))
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x))
(neg.f64 (*.f64 x (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))))
(*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (neg.f64 x))
(*.f64 x (neg.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))
(*.f64 (log.f64 x) (neg.f64 x))
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x))
(neg.f64 (*.f64 x (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))))
(*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (neg.f64 x))
(*.f64 x (neg.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))
(*.f64 (log.f64 x) (neg.f64 x))
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x))
(neg.f64 (*.f64 x (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))))
(*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (neg.f64 x))
(*.f64 x (neg.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))
(*.f64 (log.f64 x) (neg.f64 x))
(-.f64 (+.f64 1 (*.f64 x (sqrt.f64 (log.f64 x)))) 1)
(*.f64 x (sqrt.f64 (log.f64 x)))
(*.f64 x (sqrt.f64 (log.f64 x)))
(*.f64 (*.f64 x (sqrt.f64 (log.f64 x))) 1)
(*.f64 x (sqrt.f64 (log.f64 x)))
(*.f64 (sqrt.f64 (log.f64 x)) x)
(*.f64 x (sqrt.f64 (log.f64 x)))
(*.f64 1 (*.f64 x (sqrt.f64 (log.f64 x))))
(*.f64 x (sqrt.f64 (log.f64 x)))
(*.f64 (cbrt.f64 (*.f64 x (sqrt.f64 (log.f64 x)))) (cbrt.f64 (*.f64 x (*.f64 x (log.f64 x)))))
(*.f64 x (sqrt.f64 (log.f64 x)))
(*.f64 (cbrt.f64 (log.f64 x)) (*.f64 (cbrt.f64 (sqrt.f64 (log.f64 x))) x))
(*.f64 (cbrt.f64 (log.f64 x)) (*.f64 x (cbrt.f64 (sqrt.f64 (log.f64 x)))))
(*.f64 (cbrt.f64 (sqrt.f64 (log.f64 x))) (*.f64 x (cbrt.f64 (log.f64 x))))
(*.f64 x (*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 (sqrt.f64 (log.f64 x)))))
(*.f64 (cbrt.f64 (*.f64 x (*.f64 x (log.f64 x)))) (cbrt.f64 (*.f64 x (sqrt.f64 (log.f64 x)))))
(*.f64 x (sqrt.f64 (log.f64 x)))
(*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (log.f64 x)))) (sqrt.f64 (*.f64 x (sqrt.f64 (log.f64 x)))))
(*.f64 x (sqrt.f64 (log.f64 x)))
(*.f64 (pow.f64 (log.f64 x) 1/4) (*.f64 (pow.f64 (log.f64 x) 1/4) x))
(*.f64 x (sqrt.f64 (log.f64 x)))
(*.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x (log.f64 x))))
(*.f64 (sqrt.f64 x) (sqrt.f64 (log.f64 (pow.f64 x x))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x (log.f64 x)))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 x (*.f64 x (log.f64 x))))))
(*.f64 x (sqrt.f64 (log.f64 x)))
(*.f64 (pow.f64 1 1/2) (*.f64 x (sqrt.f64 (log.f64 x))))
(*.f64 x (sqrt.f64 (log.f64 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x (log.f64 x)))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x (log.f64 x)))) 1/2))
(*.f64 x (sqrt.f64 (log.f64 x)))
(pow.f64 (*.f64 x (*.f64 x (log.f64 x))) 1/2)
(*.f64 x (sqrt.f64 (log.f64 x)))
(pow.f64 (*.f64 x (sqrt.f64 (log.f64 x))) 1)
(*.f64 x (sqrt.f64 (log.f64 x)))
(pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 (log.f64 x)))) 3)
(*.f64 x (sqrt.f64 (log.f64 x)))
(pow.f64 (pow.f64 (*.f64 x (sqrt.f64 (log.f64 x))) 3) 1/3)
(*.f64 x (sqrt.f64 (log.f64 x)))
(pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (log.f64 x)))) 2)
(*.f64 x (sqrt.f64 (log.f64 x)))
(fabs.f64 (*.f64 x (sqrt.f64 (log.f64 x))))
(*.f64 x (sqrt.f64 (log.f64 x)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 x))) x))
(*.f64 x (sqrt.f64 (log.f64 x)))
(cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (log.f64 x))) 3))
(*.f64 x (sqrt.f64 (log.f64 x)))
(expm1.f64 (log1p.f64 (*.f64 x (sqrt.f64 (log.f64 x)))))
(*.f64 x (sqrt.f64 (log.f64 x)))
(exp.f64 (log.f64 (*.f64 x (sqrt.f64 (log.f64 x)))))
(*.f64 x (sqrt.f64 (log.f64 x)))
(log1p.f64 (expm1.f64 (*.f64 x (sqrt.f64 (log.f64 x)))))
(*.f64 x (sqrt.f64 (log.f64 x)))
(-.f64 (+.f64 1 (*.f64 x (*.f64 x (log.f64 x)))) 1)
(*.f64 (log.f64 x) (*.f64 x x))
(*.f64 x (*.f64 x (log.f64 x)))
(*.f64 x (log.f64 (pow.f64 x x)))
(pow.f64 (*.f64 x (*.f64 x (log.f64 x))) 1)
(*.f64 (log.f64 x) (*.f64 x x))
(*.f64 x (*.f64 x (log.f64 x)))
(*.f64 x (log.f64 (pow.f64 x x)))
(pow.f64 (*.f64 x (sqrt.f64 (log.f64 x))) 2)
(*.f64 (log.f64 x) (*.f64 x x))
(*.f64 x (*.f64 x (log.f64 x)))
(*.f64 x (log.f64 (pow.f64 x x)))
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 x (log.f64 x)))) 3)
(*.f64 (log.f64 x) (*.f64 x x))
(*.f64 x (*.f64 x (log.f64 x)))
(*.f64 x (log.f64 (pow.f64 x x)))
(pow.f64 (*.f64 (pow.f64 (log.f64 x) 2) (pow.f64 x 4)) 1/2)
(*.f64 (log.f64 x) (*.f64 x x))
(*.f64 x (*.f64 x (log.f64 x)))
(*.f64 x (log.f64 (pow.f64 x x)))
(pow.f64 (pow.f64 (*.f64 x (*.f64 x (log.f64 x))) 3) 1/3)
(*.f64 (log.f64 x) (*.f64 x x))
(*.f64 x (*.f64 x (log.f64 x)))
(*.f64 x (log.f64 (pow.f64 x x)))
(sqrt.f64 (*.f64 (pow.f64 (log.f64 x) 2) (pow.f64 x 4)))
(*.f64 (log.f64 x) (*.f64 x x))
(*.f64 x (*.f64 x (log.f64 x)))
(*.f64 x (log.f64 (pow.f64 x x)))
(log.f64 (pow.f64 x (*.f64 x x)))
(*.f64 (log.f64 x) (*.f64 x x))
(*.f64 x (*.f64 x (log.f64 x)))
(*.f64 x (log.f64 (pow.f64 x x)))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 x (log.f64 x))) 3))
(*.f64 (log.f64 x) (*.f64 x x))
(*.f64 x (*.f64 x (log.f64 x)))
(*.f64 x (log.f64 (pow.f64 x x)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (*.f64 x x) 3)))
(*.f64 (log.f64 x) (*.f64 x x))
(*.f64 x (*.f64 x (log.f64 x)))
(*.f64 x (log.f64 (pow.f64 x x)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (log.f64 x) 3)))
(*.f64 (log.f64 x) (*.f64 x x))
(*.f64 x (*.f64 x (log.f64 x)))
(*.f64 x (log.f64 (pow.f64 x x)))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 x (log.f64 x)))))
(*.f64 (log.f64 x) (*.f64 x x))
(*.f64 x (*.f64 x (log.f64 x)))
(*.f64 x (log.f64 (pow.f64 x x)))
(exp.f64 (log.f64 (*.f64 x (*.f64 x (log.f64 x)))))
(*.f64 (log.f64 x) (*.f64 x x))
(*.f64 x (*.f64 x (log.f64 x)))
(*.f64 x (log.f64 (pow.f64 x x)))
(log1p.f64 (-.f64 (pow.f64 x (*.f64 x x)) 1))
(log1p.f64 (+.f64 (pow.f64 x (*.f64 x x)) -1))
(log1p.f64 (+.f64 -1 (pow.f64 x (*.f64 x x))))
(-.f64 (+.f64 1 (*.f64 x (log.f64 x))) 1)
(*.f64 x (log.f64 x))
(log.f64 (pow.f64 x x))
(pow.f64 (*.f64 x (log.f64 x)) 1)
(*.f64 x (log.f64 x))
(log.f64 (pow.f64 x x))
(pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3)
(*.f64 x (log.f64 x))
(log.f64 (pow.f64 x x))
(pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) 1/3)
(*.f64 x (log.f64 x))
(log.f64 (pow.f64 x x))
(pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 2)
(*.f64 x (log.f64 x))
(log.f64 (pow.f64 x x))
(pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) 1/2)
(*.f64 x (log.f64 x))
(log.f64 (pow.f64 x x))
(sqrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 2))
(*.f64 x (log.f64 x))
(log.f64 (pow.f64 x x))
(log.f64 (exp.f64 (*.f64 x (log.f64 x))))
(*.f64 x (log.f64 x))
(log.f64 (pow.f64 x x))
(cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3))
(*.f64 x (log.f64 x))
(log.f64 (pow.f64 x x))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 x) 3) (pow.f64 x 3)))
(*.f64 x (log.f64 x))
(log.f64 (pow.f64 x x))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x (sqrt.f64 (log.f64 x))) 3) (pow.f64 (log.f64 x) 3/2)))
(*.f64 x (log.f64 x))
(log.f64 (pow.f64 x x))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 x) 3/2) (pow.f64 (*.f64 x (sqrt.f64 (log.f64 x))) 3)))
(*.f64 x (log.f64 x))
(log.f64 (pow.f64 x x))
(expm1.f64 (log1p.f64 (*.f64 x (log.f64 x))))
(*.f64 x (log.f64 x))
(log.f64 (pow.f64 x x))
(exp.f64 (log.f64 (*.f64 x (log.f64 x))))
(*.f64 x (log.f64 x))
(log.f64 (pow.f64 x x))
(log1p.f64 (expm1.f64 (*.f64 x (log.f64 x))))
(*.f64 x (log.f64 x))
(log.f64 (pow.f64 x x))

localize16.0ms (0.3%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
99.5%
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (log.f64 x) (sqrt.f64 x)) 3)) (sqrt.f64 x))
99.5%
(*.f64 (log.f64 x) (sqrt.f64 x))
99.2%
(pow.f64 (*.f64 (log.f64 x) (sqrt.f64 x)) 3)
68.7%
(cbrt.f64 (pow.f64 (*.f64 (log.f64 x) (sqrt.f64 x)) 3))
Compiler

Compiled 38 to 14 computations (63.2% saved)

series18.0ms (0.3%)

Counts
3 → 12
Calls

9 calls:

TimeVariablePointExpression
13.0ms
x
@-inf
(pow.f64 (*.f64 (log.f64 x) (sqrt.f64 x)) 3)
2.0ms
x
@inf
(pow.f64 (*.f64 (log.f64 x) (sqrt.f64 x)) 3)
1.0ms
x
@0
(pow.f64 (*.f64 (log.f64 x) (sqrt.f64 x)) 3)
0.0ms
x
@-inf
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (log.f64 x) (sqrt.f64 x)) 3)) (sqrt.f64 x))
0.0ms
x
@-inf
(cbrt.f64 (pow.f64 (*.f64 (log.f64 x) (sqrt.f64 x)) 3))

rewrite90.0ms (1.6%)

Algorithm
batch-egg-rewrite
Rules
1754×pow1
1628×add-exp-log
1628×log1p-expm1-u
1628×expm1-log1p-u
1588×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01161
122447
2240547
Stop Event
node limit
Counts
3 → 67
Calls
Call 1
Inputs
(cbrt.f64 (pow.f64 (*.f64 (log.f64 x) (sqrt.f64 x)) 3))
(pow.f64 (*.f64 (log.f64 x) (sqrt.f64 x)) 3)
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (log.f64 x) (sqrt.f64 x)) 3)) (sqrt.f64 x))
Outputs
(-.f64 (+.f64 1 (*.f64 (log.f64 x) (sqrt.f64 x))) 1)
(*.f64 (log.f64 x) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (log.f64 x))
(*.f64 (*.f64 (log.f64 x) (sqrt.f64 x)) 1)
(*.f64 1 (*.f64 (log.f64 x) (sqrt.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (*.f64 (cbrt.f64 (log.f64 x)) (sqrt.f64 x)))
(*.f64 (cbrt.f64 (*.f64 (log.f64 x) (sqrt.f64 x))) (cbrt.f64 (*.f64 x (pow.f64 (log.f64 x) 2))))
(*.f64 (cbrt.f64 (*.f64 (log.f64 x) (sqrt.f64 x))) (pow.f64 (*.f64 x (pow.f64 (log.f64 x) 2)) 1/3))
(*.f64 (cbrt.f64 (*.f64 x (pow.f64 (log.f64 x) 2))) (cbrt.f64 (*.f64 (log.f64 x) (sqrt.f64 x))))
(*.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (sqrt.f64 x)) (log.f64 x)))
(*.f64 (sqrt.f64 (log.f64 x)) (*.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 x)))
(*.f64 (pow.f64 x 1/4) (*.f64 (pow.f64 x 1/4) (log.f64 x)))
(*.f64 (sqrt.f64 (*.f64 (log.f64 x) (sqrt.f64 x))) (sqrt.f64 (*.f64 (log.f64 x) (sqrt.f64 x))))
(*.f64 (pow.f64 (*.f64 x (pow.f64 (log.f64 x) 2)) 1/3) (cbrt.f64 (*.f64 (log.f64 x) (sqrt.f64 x))))
(*.f64 (pow.f64 1 1/3) (*.f64 (log.f64 x) (sqrt.f64 x)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 x) (sqrt.f64 x)) 3/2) 1/3) (pow.f64 (pow.f64 (*.f64 (log.f64 x) (sqrt.f64 x)) 3/2) 1/3))
(*.f64 (*.f64 (log.f64 x) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))
(*.f64 (*.f64 (log.f64 x) (pow.f64 x 1/4)) (pow.f64 x 1/4))
(*.f64 (*.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x)))
(*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)))
(pow.f64 (*.f64 (log.f64 x) (sqrt.f64 x)) 1)
(pow.f64 (pow.f64 (*.f64 (log.f64 x) (sqrt.f64 x)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (log.f64 x) (sqrt.f64 x))) 3)
(pow.f64 (sqrt.f64 (*.f64 (log.f64 x) (sqrt.f64 x))) 2)
(sqrt.f64 (*.f64 x (pow.f64 (log.f64 x) 2)))
(log.f64 (pow.f64 x (sqrt.f64 x)))
(expm1.f64 (log1p.f64 (*.f64 (log.f64 x) (sqrt.f64 x))))
(exp.f64 (log.f64 (*.f64 (log.f64 x) (sqrt.f64 x))))
(log1p.f64 (-.f64 (pow.f64 x (sqrt.f64 x)) 1))
(-.f64 (+.f64 1 (pow.f64 (*.f64 (log.f64 x) (sqrt.f64 x)) 3)) 1)
(*.f64 (log.f64 x) (*.f64 (sqrt.f64 x) (*.f64 x (pow.f64 (log.f64 x) 2))))
(*.f64 (sqrt.f64 x) (*.f64 (log.f64 x) (*.f64 x (pow.f64 (log.f64 x) 2))))
(*.f64 (*.f64 (log.f64 x) (sqrt.f64 x)) (*.f64 x (pow.f64 (log.f64 x) 2)))
(*.f64 (pow.f64 (*.f64 (log.f64 x) (sqrt.f64 x)) 3) 1)
(*.f64 1 (pow.f64 (*.f64 (log.f64 x) (sqrt.f64 x)) 3))
(*.f64 (cbrt.f64 (*.f64 x (pow.f64 (log.f64 x) 2))) (*.f64 (cbrt.f64 (*.f64 (log.f64 x) (sqrt.f64 x))) (*.f64 x (pow.f64 (log.f64 x) 2))))
(*.f64 (*.f64 x (pow.f64 (log.f64 x) 2)) (*.f64 (log.f64 x) (sqrt.f64 x)))
(*.f64 (sqrt.f64 (*.f64 (log.f64 x) (sqrt.f64 x))) (*.f64 (sqrt.f64 (*.f64 (log.f64 x) (sqrt.f64 x))) (*.f64 x (pow.f64 (log.f64 x) 2))))
(*.f64 (pow.f64 (log.f64 x) 3) (pow.f64 x 3/2))
(*.f64 (pow.f64 x 3/2) (pow.f64 (log.f64 x) 3))
(*.f64 (pow.f64 (*.f64 (log.f64 x) (sqrt.f64 x)) 3/2) (pow.f64 (*.f64 (log.f64 x) (sqrt.f64 x)) 3/2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (pow.f64 (log.f64 x) 2))) 3) (*.f64 (log.f64 x) (sqrt.f64 x)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (log.f64 x) (sqrt.f64 x))) 3) (pow.f64 (sqrt.f64 (*.f64 (log.f64 x) (sqrt.f64 x))) 3))
(*.f64 (*.f64 (*.f64 x (pow.f64 (log.f64 x) 2)) (log.f64 x)) (sqrt.f64 x))
(*.f64 (*.f64 (*.f64 x (pow.f64 (log.f64 x) 2)) (sqrt.f64 x)) (log.f64 x))
(*.f64 (*.f64 (*.f64 x (pow.f64 (log.f64 x) 2)) 1) (*.f64 (log.f64 x) (sqrt.f64 x)))
(*.f64 (*.f64 (*.f64 x (pow.f64 (log.f64 x) 2)) (cbrt.f64 (*.f64 x (pow.f64 (log.f64 x) 2)))) (cbrt.f64 (*.f64 (log.f64 x) (sqrt.f64 x))))
(*.f64 (*.f64 (*.f64 x (pow.f64 (log.f64 x) 2)) (sqrt.f64 (*.f64 (log.f64 x) (sqrt.f64 x)))) (sqrt.f64 (*.f64 (log.f64 x) (sqrt.f64 x))))
(sqrt.f64 (pow.f64 (*.f64 (log.f64 x) (sqrt.f64 x)) 6))
(log.f64 (exp.f64 (pow.f64 (*.f64 (log.f64 x) (sqrt.f64 x)) 3)))
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 x) (sqrt.f64 x)) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 (log.f64 x) (sqrt.f64 x)) 3)))
(exp.f64 (*.f64 3 (log.f64 (*.f64 (log.f64 x) (sqrt.f64 x)))))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 (log.f64 x) (sqrt.f64 x)) 3)))
(-.f64 (+.f64 1 (*.f64 x (log.f64 x))) 1)
(pow.f64 (*.f64 x (log.f64 x)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3)
(pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 2)
(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))
(cbrt.f64 (*.f64 (pow.f64 x 3/2) (pow.f64 (*.f64 (log.f64 x) (sqrt.f64 x)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (log.f64 x) (sqrt.f64 x)) 3) (pow.f64 x 3/2)))
(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))))

simplify76.0ms (1.4%)

Algorithm
egg-herbie
Rules
2098×fma-def
934×unswap-sqr
912×exp-prod
842×cube-prod
738×log-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01571881
13641575
213541269
343161269
Stop Event
node limit
Counts
79 → 82
Calls
Call 1
Inputs
(*.f64 (log.f64 x) x)
(*.f64 (log.f64 x) x)
(*.f64 (log.f64 x) x)
(*.f64 (log.f64 x) x)
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x))
(*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)))
(*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)))
(*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)))
(*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)))
(-.f64 (+.f64 1 (*.f64 (log.f64 x) (sqrt.f64 x))) 1)
(*.f64 (log.f64 x) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (log.f64 x))
(*.f64 (*.f64 (log.f64 x) (sqrt.f64 x)) 1)
(*.f64 1 (*.f64 (log.f64 x) (sqrt.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (*.f64 (cbrt.f64 (log.f64 x)) (sqrt.f64 x)))
(*.f64 (cbrt.f64 (*.f64 (log.f64 x) (sqrt.f64 x))) (cbrt.f64 (*.f64 x (pow.f64 (log.f64 x) 2))))
(*.f64 (cbrt.f64 (*.f64 (log.f64 x) (sqrt.f64 x))) (pow.f64 (*.f64 x (pow.f64 (log.f64 x) 2)) 1/3))
(*.f64 (cbrt.f64 (*.f64 x (pow.f64 (log.f64 x) 2))) (cbrt.f64 (*.f64 (log.f64 x) (sqrt.f64 x))))
(*.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (sqrt.f64 x)) (log.f64 x)))
(*.f64 (sqrt.f64 (log.f64 x)) (*.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 x)))
(*.f64 (pow.f64 x 1/4) (*.f64 (pow.f64 x 1/4) (log.f64 x)))
(*.f64 (sqrt.f64 (*.f64 (log.f64 x) (sqrt.f64 x))) (sqrt.f64 (*.f64 (log.f64 x) (sqrt.f64 x))))
(*.f64 (pow.f64 (*.f64 x (pow.f64 (log.f64 x) 2)) 1/3) (cbrt.f64 (*.f64 (log.f64 x) (sqrt.f64 x))))
(*.f64 (pow.f64 1 1/3) (*.f64 (log.f64 x) (sqrt.f64 x)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 x) (sqrt.f64 x)) 3/2) 1/3) (pow.f64 (pow.f64 (*.f64 (log.f64 x) (sqrt.f64 x)) 3/2) 1/3))
(*.f64 (*.f64 (log.f64 x) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))
(*.f64 (*.f64 (log.f64 x) (pow.f64 x 1/4)) (pow.f64 x 1/4))
(*.f64 (*.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x)))
(*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)))
(pow.f64 (*.f64 (log.f64 x) (sqrt.f64 x)) 1)
(pow.f64 (pow.f64 (*.f64 (log.f64 x) (sqrt.f64 x)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (log.f64 x) (sqrt.f64 x))) 3)
(pow.f64 (sqrt.f64 (*.f64 (log.f64 x) (sqrt.f64 x))) 2)
(sqrt.f64 (*.f64 x (pow.f64 (log.f64 x) 2)))
(log.f64 (pow.f64 x (sqrt.f64 x)))
(expm1.f64 (log1p.f64 (*.f64 (log.f64 x) (sqrt.f64 x))))
(exp.f64 (log.f64 (*.f64 (log.f64 x) (sqrt.f64 x))))
(log1p.f64 (-.f64 (pow.f64 x (sqrt.f64 x)) 1))
(-.f64 (+.f64 1 (pow.f64 (*.f64 (log.f64 x) (sqrt.f64 x)) 3)) 1)
(*.f64 (log.f64 x) (*.f64 (sqrt.f64 x) (*.f64 x (pow.f64 (log.f64 x) 2))))
(*.f64 (sqrt.f64 x) (*.f64 (log.f64 x) (*.f64 x (pow.f64 (log.f64 x) 2))))
(*.f64 (*.f64 (log.f64 x) (sqrt.f64 x)) (*.f64 x (pow.f64 (log.f64 x) 2)))
(*.f64 (pow.f64 (*.f64 (log.f64 x) (sqrt.f64 x)) 3) 1)
(*.f64 1 (pow.f64 (*.f64 (log.f64 x) (sqrt.f64 x)) 3))
(*.f64 (cbrt.f64 (*.f64 x (pow.f64 (log.f64 x) 2))) (*.f64 (cbrt.f64 (*.f64 (log.f64 x) (sqrt.f64 x))) (*.f64 x (pow.f64 (log.f64 x) 2))))
(*.f64 (*.f64 x (pow.f64 (log.f64 x) 2)) (*.f64 (log.f64 x) (sqrt.f64 x)))
(*.f64 (sqrt.f64 (*.f64 (log.f64 x) (sqrt.f64 x))) (*.f64 (sqrt.f64 (*.f64 (log.f64 x) (sqrt.f64 x))) (*.f64 x (pow.f64 (log.f64 x) 2))))
(*.f64 (pow.f64 (log.f64 x) 3) (pow.f64 x 3/2))
(*.f64 (pow.f64 x 3/2) (pow.f64 (log.f64 x) 3))
(*.f64 (pow.f64 (*.f64 (log.f64 x) (sqrt.f64 x)) 3/2) (pow.f64 (*.f64 (log.f64 x) (sqrt.f64 x)) 3/2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (pow.f64 (log.f64 x) 2))) 3) (*.f64 (log.f64 x) (sqrt.f64 x)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (log.f64 x) (sqrt.f64 x))) 3) (pow.f64 (sqrt.f64 (*.f64 (log.f64 x) (sqrt.f64 x))) 3))
(*.f64 (*.f64 (*.f64 x (pow.f64 (log.f64 x) 2)) (log.f64 x)) (sqrt.f64 x))
(*.f64 (*.f64 (*.f64 x (pow.f64 (log.f64 x) 2)) (sqrt.f64 x)) (log.f64 x))
(*.f64 (*.f64 (*.f64 x (pow.f64 (log.f64 x) 2)) 1) (*.f64 (log.f64 x) (sqrt.f64 x)))
(*.f64 (*.f64 (*.f64 x (pow.f64 (log.f64 x) 2)) (cbrt.f64 (*.f64 x (pow.f64 (log.f64 x) 2)))) (cbrt.f64 (*.f64 (log.f64 x) (sqrt.f64 x))))
(*.f64 (*.f64 (*.f64 x (pow.f64 (log.f64 x) 2)) (sqrt.f64 (*.f64 (log.f64 x) (sqrt.f64 x)))) (sqrt.f64 (*.f64 (log.f64 x) (sqrt.f64 x))))
(sqrt.f64 (pow.f64 (*.f64 (log.f64 x) (sqrt.f64 x)) 6))
(log.f64 (exp.f64 (pow.f64 (*.f64 (log.f64 x) (sqrt.f64 x)) 3)))
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 x) (sqrt.f64 x)) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 (log.f64 x) (sqrt.f64 x)) 3)))
(exp.f64 (*.f64 3 (log.f64 (*.f64 (log.f64 x) (sqrt.f64 x)))))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 (log.f64 x) (sqrt.f64 x)) 3)))
(-.f64 (+.f64 1 (*.f64 x (log.f64 x))) 1)
(pow.f64 (*.f64 x (log.f64 x)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3)
(pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 2)
(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))
(cbrt.f64 (*.f64 (pow.f64 x 3/2) (pow.f64 (*.f64 (log.f64 x) (sqrt.f64 x)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (log.f64 x) (sqrt.f64 x)) 3) (pow.f64 x 3/2)))
(expm1.f64 (log1p.f64 (*.f64 x (log.f64 x))))
(exp.f64 (log.f64 (*.f64 x (log.f64 x))))
(log1p.f64 (expm1.f64 (*.f64 x (log.f64 x))))
Outputs
(*.f64 (log.f64 x) x)
(*.f64 x (log.f64 x))
(log.f64 (pow.f64 x x))
(*.f64 (log.f64 x) x)
(*.f64 x (log.f64 x))
(log.f64 (pow.f64 x x))
(*.f64 (log.f64 x) x)
(*.f64 x (log.f64 x))
(log.f64 (pow.f64 x x))
(*.f64 (log.f64 x) x)
(*.f64 x (log.f64 x))
(log.f64 (pow.f64 x x))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x))
(*.f64 x (log.f64 x))
(log.f64 (pow.f64 x x))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x))
(*.f64 x (log.f64 x))
(log.f64 (pow.f64 x x))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x))
(*.f64 x (log.f64 x))
(log.f64 (pow.f64 x x))
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(exp.f64 (log.f64 (*.f64 x (log.f64 x))))
(*.f64 x (log.f64 x))
(log.f64 (pow.f64 x x))
(log1p.f64 (expm1.f64 (*.f64 x (log.f64 x))))
(*.f64 x (log.f64 x))
(log.f64 (pow.f64 x x))

eval304.0ms (5.5%)

Compiler

Compiled 10082 to 5493 computations (45.5% saved)

prune168.0ms (3.1%)

Pruning

23 alts after pruning (10 fresh and 13 done)

PrunedKeptTotal
New6443647
Fresh279
Picked011
Done21214
Total64823671
Accurracy
100.0%
Counts
671 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.5%
(pow.f64 (*.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 3/2) (sqrt.f64 x)) 2)
50.9%
(pow.f64 (*.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 x)) 2)
51.1%
(pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 2)
97.8%
(pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3)
96.5%
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) 3) 2) (cbrt.f64 (*.f64 x (log.f64 x))))
98.9%
(*.f64 (*.f64 (pow.f64 x 1/4) (*.f64 (pow.f64 x 1/4) (log.f64 x))) (sqrt.f64 x))
99.1%
(*.f64 (*.f64 (log.f64 x) (sqrt.f64 x)) (sqrt.f64 x))
51.1%
(*.f64 (*.f64 x (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)))
28.3%
(*.f64 (sqrt.f64 (*.f64 (log.f64 x) (*.f64 x x))) (sqrt.f64 (log.f64 x)))
68.2%
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (log.f64 x) (sqrt.f64 x)) 3)) (sqrt.f64 x))
99.5%
(*.f64 x (log.f64 x))
48.0%
(*.f64 -1 (pow.f64 (sqrt.f64 (*.f64 x (neg.f64 (log.f64 x)))) 2))
98.0%
(*.f64 -1 (*.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 x))) 3) x))
51.1%
(*.f64 -1 (*.f64 (*.f64 (sqrt.f64 (log.f64 x)) (neg.f64 (sqrt.f64 (log.f64 x)))) x))
98.7%
(*.f64 -1 (*.f64 (*.f64 (cbrt.f64 (*.f64 (log.f64 x) (log.f64 x))) (cbrt.f64 (neg.f64 (log.f64 x)))) x))
99.5%
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x))
47.6%
(*.f64 -1 (*.f64 (exp.f64 (log.f64 (neg.f64 (log.f64 x)))) x))
99.0%
(*.f64 -1 (*.f64 (cbrt.f64 (pow.f64 (neg.f64 (log.f64 x)) 3)) x))
4.7%
(log.f64 (pow.f64 x x))
39.6%
(cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3))
39.5%
(cbrt.f64 (*.f64 (pow.f64 (log.f64 x) 3) (pow.f64 x 3)))
39.6%
(cbrt.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) (log.f64 x)) x))
20.2%
(cbrt.f64 (exp.f64 (*.f64 3 (log.f64 (*.f64 x (log.f64 x))))))
Compiler

Compiled 242 to 169 computations (30.2% saved)

regimes75.0ms (1.4%)

Accuracy

Total -63.7b remaining (-20380%)

Threshold costs -63.7b (-20380%)

Counts
30 → 1
Calls
Call 1
Inputs
(*.f64 x (log.f64 x))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x))
(log.f64 (pow.f64 x x))
(cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3))
(pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3)
(pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 2)
(*.f64 (*.f64 (log.f64 x) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 -1 (*.f64 (exp.f64 (log.f64 (neg.f64 (log.f64 x)))) x))
(*.f64 -1 (*.f64 (cbrt.f64 (pow.f64 (neg.f64 (log.f64 x)) 3)) x))
(*.f64 -1 (*.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 x))) 3) x))
(*.f64 -1 (pow.f64 (sqrt.f64 (*.f64 x (neg.f64 (log.f64 x)))) 2))
(pow.f64 (*.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 x)) 2)
(cbrt.f64 (exp.f64 (*.f64 3 (log.f64 (*.f64 x (log.f64 x))))))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 x) 3) (pow.f64 x 3)))
(*.f64 (*.f64 x (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)))
(*.f64 (sqrt.f64 (*.f64 (log.f64 x) (*.f64 x x))) (sqrt.f64 (log.f64 x)))
(cbrt.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) (log.f64 x)) x))
(*.f64 -1 (*.f64 (*.f64 (sqrt.f64 (log.f64 x)) (neg.f64 (sqrt.f64 (log.f64 x)))) x))
(*.f64 (*.f64 (pow.f64 x 1/4) (*.f64 (pow.f64 x 1/4) (log.f64 x))) (sqrt.f64 x))
(pow.f64 (*.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 3/2) (sqrt.f64 x)) 2)
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) 3) 3)
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (log.f64 x) (sqrt.f64 x)) 3)) (sqrt.f64 x))
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) (cbrt.f64 (*.f64 x (log.f64 x))))
(*.f64 -1 (*.f64 (*.f64 (cbrt.f64 (*.f64 (log.f64 x) (log.f64 x))) (cbrt.f64 (neg.f64 (log.f64 x)))) x))
(*.f64 -1 (*.f64 (/.f64 (-.f64 0 (pow.f64 (log.f64 x) 3)) (+.f64 0 (+.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 0 (log.f64 x))))) x))
(*.f64 -1 (*.f64 (/.f64 (-.f64 0 (pow.f64 (log.f64 x) 3)) (+.f64 0 (+.f64 (/.f64 (log.f64 x) (/.f64 1 (log.f64 x))) (*.f64 0 (log.f64 x))))) x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) 2) 3) (cbrt.f64 (*.f64 x (log.f64 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) 3) 2) (cbrt.f64 (*.f64 x (log.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2)))
Outputs
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x))
Calls

2 calls:

55.0ms
x
14.0ms
(*.f64 x (log.f64 x))
Results
AccuracySegmentsBranch
99.5%1x
99.5%1(*.f64 x (log.f64 x))
Compiler

Compiled 348 to 162 computations (53.4% saved)

simplify5.0ms (0.1%)

Algorithm
egg-herbie
Rules
10×*-commutative
sub-neg
+-commutative
neg-sub0
distribute-lft-neg-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01232
11832
22532
33032
43532
53732
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x))
(*.f64 x (log.f64 x))
Outputs
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x))
(neg.f64 (*.f64 x (log.f64 (/.f64 1 x))))
(*.f64 (log.f64 (/.f64 1 x)) (neg.f64 x))
(*.f64 x (log.f64 x))
Compiler

Compiled 13 to 9 computations (30.8% saved)

soundness0.0ms (0%)

end40.0ms (0.7%)

Compiler

Compiled 12 to 8 computations (33.3% saved)

Profiling

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