Details

analyze3.0ms (0.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
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)

sample1.1s (24.1%)

Results

1.0s	8256×	body	256	valid
1.0ms	7×	body	256	infinite
1.0ms	8×	body	256	invalid

Bogosity

preprocess16.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

2×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	11
1	7	11
0	1	1

Stop Event

1×	saturated
1×	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)

simplify11.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	11
1	7	11

Stop Event

1×

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)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Accurracy

99.5%

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.5%	(*.f64 x (log.f64 x))

Compiler

Compiled 5 to 3 computations (40% saved)

localize6.0ms (0.1%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	99.5%	(*.f64 x (log.f64 x))

Compiler

Compiled 8 to 3 computations (62.5% saved)

series73.0ms (1.6%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
50.0ms	x	@	0	(*.f64 x (log.f64 x))
14.0ms	x	@	-inf	(*.f64 x (log.f64 x))
9.0ms	x	@	inf	(*.f64 x (log.f64 x))

rewrite94.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1054×	`add-sqr-sqrt`
1044×	`*-un-lft-identity`
982×	`pow1`
962×	`add-cube-cbrt`
946×	`add-cbrt-cube`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	11
1	113	11
2	1321	11

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

Inputs
(*.f64 x (log.f64 x))

Outputs
(((-.f64 (+.f64 1 (.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))) 2) (2)) ((pow.f64 (cbrt.f64 (.f64 x (log.f64 x))) 3) (2)) ((pow.f64 (pow.f64 (.f64 x (log.f64 x)) 3) 1/3) (2)) ((sqrt.f64 (pow.f64 (.f64 x (log.f64 x)) 2)) (2)) ((log.f64 (pow.f64 x x)) (2)) ((cbrt.f64 (pow.f64 (.f64 x (log.f64 x)) 3)) (2)) ((expm1.f64 (log1p.f64 (.f64 x (log.f64 x)))) (2)) ((exp.f64 (log.f64 (*.f64 x (log.f64 x)))) (2)) ((log1p.f64 (-.f64 (pow.f64 x x) 1)) (2)))

Outputs

(((-.f64 (+.f64 1 (*.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))) 2) (2)) ((pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3) (2)) ((pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) 1/3) (2)) ((sqrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 2)) (2)) ((log.f64 (pow.f64 x x)) (2)) ((cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3)) (2)) ((expm1.f64 (log1p.f64 (*.f64 x (log.f64 x)))) (2)) ((exp.f64 (log.f64 (*.f64 x (log.f64 x)))) (2)) ((log1p.f64 (-.f64 (pow.f64 x x) 1)) (2)))

simplify52.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

890×	`associate-+r-`
802×	`associate-+l-`
788×	`distribute-lft-in`
776×	`distribute-rgt-in`
548×	`log-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	259
1	99	259
2	325	259
3	1771	259
4	5566	259

Stop Event

1×	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 (sqrt.f64 (*.f64 x (log.f64 x))) 2)
(pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3)
(pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) 1/3)
(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 (sqrt.f64 (*.f64 x (log.f64 x))) 2)
(*.f64 x (log.f64 x))
(pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3)
(*.f64 x (log.f64 x))
(pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) 1/3)
(*.f64 x (log.f64 x))
(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 (0.1%)

Compiler: Compiled 112 to 56 computations (50% saved)

prune3.0ms (0.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	14	3	17
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	14	4	18

Accurracy

99.7%

Counts

18 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	54.1%	(pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 2)
▶	97.7%	(pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3)
✓	99.5%	(*.f64 x (log.f64 x))
▶	33.8%	(cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3))

Compiler

Compiled 29 to 21 computations (27.6% saved)

localize10.0ms (0.2%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
✓	99.7%	(pow.f64 (*.f64 x (log.f64 x)) 3)
	99.5%	(*.f64 x (log.f64 x))
✓	36.2%	(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:

Time	Variable		Point	Expression
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))

rewrite63.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1440×	`add-sqr-sqrt`
1410×	`*-un-lft-identity`
1330×	`add-cube-cbrt`
1316×	`add-cbrt-cube`
1300×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	28
1	183	28
2	1934	28

Stop Event

1×	node limit

Counts

2 → 57

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) (2)) ((.f64 x (log.f64 x)) (2)) ((.f64 (log.f64 x) x) (2)) ((.f64 (.f64 x (log.f64 x)) 1) (2)) ((.f64 1 (.f64 x (log.f64 x))) (2)) ((.f64 (sqrt.f64 (log.f64 x)) (.f64 (sqrt.f64 (log.f64 x)) x)) (2)) ((.f64 (sqrt.f64 (.f64 x (log.f64 x))) (sqrt.f64 (.f64 x (log.f64 x)))) (2)) ((.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (log.f64 x))) (2)) ((.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (.f64 (cbrt.f64 (log.f64 x)) x)) (2)) ((.f64 (cbrt.f64 (.f64 x (log.f64 x))) (pow.f64 (cbrt.f64 (.f64 x (log.f64 x))) 2)) (2)) ((.f64 (cbrt.f64 (.f64 x (log.f64 x))) (pow.f64 (pow.f64 (.f64 x (log.f64 x)) 2) 1/3)) (2)) ((.f64 (pow.f64 (cbrt.f64 (.f64 x (log.f64 x))) 2) (cbrt.f64 (.f64 x (log.f64 x)))) (2)) ((.f64 (cbrt.f64 (.f64 x x)) (.f64 (cbrt.f64 x) (log.f64 x))) (2)) ((.f64 (.f64 x (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x))) (2)) ((.f64 (.f64 x (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x))) (2)) ((.f64 (.f64 (log.f64 x) (sqrt.f64 x)) (sqrt.f64 x)) (2)) ((.f64 (.f64 (log.f64 x) (cbrt.f64 (.f64 x x))) (cbrt.f64 x)) (2)) ((.f64 (pow.f64 (pow.f64 (.f64 x (log.f64 x)) 2) 1/3) (cbrt.f64 (.f64 x (log.f64 x)))) (2)) ((.f64 (pow.f64 1 1/3) (.f64 x (log.f64 x))) (2)) ((.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)) (2)) ((pow.f64 (.f64 x (log.f64 x)) 1) (2)) ((pow.f64 (pow.f64 (.f64 x (log.f64 x)) 3) 1/3) (2)) ((pow.f64 (sqrt.f64 (.f64 x (log.f64 x))) 2) (2)) ((pow.f64 (cbrt.f64 (.f64 x (log.f64 x))) 3) (2)) ((sqrt.f64 (pow.f64 (.f64 x (log.f64 x)) 2)) (2)) ((log.f64 (pow.f64 x x)) (2)) ((expm1.f64 (log1p.f64 (.f64 x (log.f64 x)))) (2)) ((exp.f64 (log.f64 (.f64 x (log.f64 x)))) (2)) ((exp.f64 (.f64 (log.f64 (.f64 x (log.f64 x))) 1)) (2)) ((exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 x (log.f64 x)))) 1/3)) (2)) ((log1p.f64 (-.f64 (pow.f64 x x) 1)) (2)))
(((-.f64 (+.f64 1 (pow.f64 (.f64 x (log.f64 x)) 3)) 1) (2)) ((.f64 x (.f64 (log.f64 x) (pow.f64 (.f64 x (log.f64 x)) 2))) (2)) ((.f64 (log.f64 x) (.f64 x (pow.f64 (.f64 x (log.f64 x)) 2))) (2)) ((.f64 (.f64 x (log.f64 x)) (pow.f64 (.f64 x (log.f64 x)) 2)) (2)) ((.f64 (pow.f64 (.f64 x (log.f64 x)) 3) 1) (2)) ((.f64 1 (pow.f64 (.f64 x (log.f64 x)) 3)) (2)) ((.f64 (pow.f64 (.f64 x (log.f64 x)) 3/2) (pow.f64 (.f64 x (log.f64 x)) 3/2)) (2)) ((.f64 (sqrt.f64 (.f64 x (log.f64 x))) (.f64 (sqrt.f64 (.f64 x (log.f64 x))) (pow.f64 (.f64 x (log.f64 x)) 2))) (2)) ((.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))) (2)) ((.f64 (pow.f64 (.f64 x (log.f64 x)) 2) (.f64 x (log.f64 x))) (2)) ((.f64 (pow.f64 x 3) (pow.f64 (log.f64 x) 3)) (2)) ((.f64 (pow.f64 (log.f64 x) 3) (pow.f64 x 3)) (2)) ((.f64 (.f64 (pow.f64 (.f64 x (log.f64 x)) 2) x) (log.f64 x)) (2)) ((.f64 (.f64 (pow.f64 (.f64 x (log.f64 x)) 2) (log.f64 x)) x) (2)) ((.f64 (.f64 (pow.f64 (.f64 x (log.f64 x)) 2) 1) (.f64 x (log.f64 x))) (2)) ((.f64 (.f64 (pow.f64 (.f64 x (log.f64 x)) 2) (sqrt.f64 (.f64 x (log.f64 x)))) (sqrt.f64 (.f64 x (log.f64 x)))) (2)) ((.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)))) (2)) ((.f64 (pow.f64 (sqrt.f64 (.f64 x (log.f64 x))) 3) (pow.f64 (sqrt.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))) (2)) ((sqrt.f64 (pow.f64 (.f64 x (log.f64 x)) 6)) (2)) ((log.f64 (exp.f64 (pow.f64 (.f64 x (log.f64 x)) 3))) (2)) ((cbrt.f64 (pow.f64 (pow.f64 (.f64 x (log.f64 x)) 3) 3)) (2)) ((expm1.f64 (log1p.f64 (pow.f64 (.f64 x (log.f64 x)) 3))) (2)) ((exp.f64 (.f64 3 (log.f64 (.f64 x (log.f64 x))))) (2)) ((exp.f64 (.f64 (.f64 3 (log.f64 (.f64 x (log.f64 x)))) 1)) (2)) ((log1p.f64 (expm1.f64 (pow.f64 (.f64 x (log.f64 x)) 3))) (2)))

Outputs

(((-.f64 (+.f64 1 (*.f64 x (log.f64 x))) 1) (2)) ((*.f64 x (log.f64 x)) (2)) ((*.f64 (log.f64 x) x) (2)) ((*.f64 (*.f64 x (log.f64 x)) 1) (2)) ((*.f64 1 (*.f64 x (log.f64 x))) (2)) ((*.f64 (sqrt.f64 (log.f64 x)) (*.f64 (sqrt.f64 (log.f64 x)) x)) (2)) ((*.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (sqrt.f64 (*.f64 x (log.f64 x)))) (2)) ((*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (log.f64 x))) (2)) ((*.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (*.f64 (cbrt.f64 (log.f64 x)) x)) (2)) ((*.f64 (cbrt.f64 (*.f64 x (log.f64 x))) (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2)) (2)) ((*.f64 (cbrt.f64 (*.f64 x (log.f64 x))) (pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) 1/3)) (2)) ((*.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) (cbrt.f64 (*.f64 x (log.f64 x)))) (2)) ((*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) (log.f64 x))) (2)) ((*.f64 (*.f64 x (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x))) (2)) ((*.f64 (*.f64 x (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x))) (2)) ((*.f64 (*.f64 (log.f64 x) (sqrt.f64 x)) (sqrt.f64 x)) (2)) ((*.f64 (*.f64 (log.f64 x) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x)) (2)) ((*.f64 (pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) 1/3) (cbrt.f64 (*.f64 x (log.f64 x)))) (2)) ((*.f64 (pow.f64 1 1/3) (*.f64 x (log.f64 x))) (2)) ((*.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)) (2)) ((pow.f64 (*.f64 x (log.f64 x)) 1) (2)) ((pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) 1/3) (2)) ((pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 2) (2)) ((pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3) (2)) ((sqrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 2)) (2)) ((log.f64 (pow.f64 x x)) (2)) ((expm1.f64 (log1p.f64 (*.f64 x (log.f64 x)))) (2)) ((exp.f64 (log.f64 (*.f64 x (log.f64 x)))) (2)) ((exp.f64 (*.f64 (log.f64 (*.f64 x (log.f64 x))) 1)) (2)) ((exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 x (log.f64 x)))) 1/3)) (2)) ((log1p.f64 (-.f64 (pow.f64 x x) 1)) (2)))

(((-.f64 (+.f64 1 (pow.f64 (*.f64 x (log.f64 x)) 3)) 1) (2)) ((*.f64 x (*.f64 (log.f64 x) (pow.f64 (*.f64 x (log.f64 x)) 2))) (2)) ((*.f64 (log.f64 x) (*.f64 x (pow.f64 (*.f64 x (log.f64 x)) 2))) (2)) ((*.f64 (*.f64 x (log.f64 x)) (pow.f64 (*.f64 x (log.f64 x)) 2)) (2)) ((*.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) 1) (2)) ((*.f64 1 (pow.f64 (*.f64 x (log.f64 x)) 3)) (2)) ((*.f64 (pow.f64 (*.f64 x (log.f64 x)) 3/2) (pow.f64 (*.f64 x (log.f64 x)) 3/2)) (2)) ((*.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (*.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (pow.f64 (*.f64 x (log.f64 x)) 2))) (2)) ((*.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))) (2)) ((*.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) (*.f64 x (log.f64 x))) (2)) ((*.f64 (pow.f64 x 3) (pow.f64 (log.f64 x) 3)) (2)) ((*.f64 (pow.f64 (log.f64 x) 3) (pow.f64 x 3)) (2)) ((*.f64 (*.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) x) (log.f64 x)) (2)) ((*.f64 (*.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) (log.f64 x)) x) (2)) ((*.f64 (*.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) 1) (*.f64 x (log.f64 x))) (2)) ((*.f64 (*.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) (sqrt.f64 (*.f64 x (log.f64 x)))) (sqrt.f64 (*.f64 x (log.f64 x)))) (2)) ((*.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)))) (2)) ((*.f64 (pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 3) (pow.f64 (sqrt.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))) (2)) ((sqrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 6)) (2)) ((log.f64 (exp.f64 (pow.f64 (*.f64 x (log.f64 x)) 3))) (2)) ((cbrt.f64 (pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) 3)) (2)) ((expm1.f64 (log1p.f64 (pow.f64 (*.f64 x (log.f64 x)) 3))) (2)) ((exp.f64 (*.f64 3 (log.f64 (*.f64 x (log.f64 x))))) (2)) ((exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 x (log.f64 x)))) 1)) (2)) ((log1p.f64 (expm1.f64 (pow.f64 (*.f64 x (log.f64 x)) 3))) (2)))

simplify58.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1136×	`associate-+r+`
928×	`associate-+l+`
672×	`distribute-lft-neg-in`
660×	`swap-sqr`
624×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	139	1425
1	322	1409
2	1336	1409
3	3483	1409

Stop Event

1×	node limit

Counts

81 → 73

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

localize8.0ms (0.2%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
	99.5%	(*.f64 x (log.f64 x))
✓	99.1%	(cbrt.f64 (*.f64 x (log.f64 x)))
✓	98.8%	(pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3)

Compiler

Compiled 21 to 7 computations (66.7% saved)

series17.0ms (0.4%)

Counts

2 → 0

Calls

6 calls:

Time	Variable		Point	Expression
15.0ms	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)
0.0ms	x	@	-inf	(cbrt.f64 (*.f64 x (log.f64 x)))
0.0ms	x	@	inf	(cbrt.f64 (*.f64 x (log.f64 x)))

rewrite64.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1426×	`add-sqr-sqrt`
1396×	`*-un-lft-identity`
1316×	`add-cube-cbrt`
1298×	`add-cbrt-cube`
1282×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	26
1	181	26
2	1876	26

Stop Event

1×	node limit

Counts

2 → 55

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) (2)) ((*.f64 x (log.f64 x)) (2)) ((*.f64 (log.f64 x) x) (2)) ((*.f64 (cbrt.f64 (*.f64 x (log.f64 x))) (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2)) (2)) ((*.f64 (*.f64 x (log.f64 x)) 1) (2)) ((*.f64 1 (*.f64 x (log.f64 x))) (2)) ((*.f64 (sqrt.f64 (log.f64 x)) (*.f64 (sqrt.f64 (log.f64 x)) x)) (2)) ((*.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (sqrt.f64 (*.f64 x (log.f64 x)))) (2)) ((*.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))) (2)) ((*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (log.f64 x))) (2)) ((*.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (*.f64 (cbrt.f64 (log.f64 x)) x)) (2)) ((*.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) (cbrt.f64 (*.f64 x (log.f64 x)))) (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))) (2)) ((*.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2))) (2)) ((*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) (log.f64 x))) (2)) ((*.f64 (*.f64 x (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x))) (2)) ((*.f64 (*.f64 x (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x))) (2)) ((*.f64 (*.f64 (log.f64 x) (sqrt.f64 x)) (sqrt.f64 x)) (2)) ((*.f64 (*.f64 (log.f64 x) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x)) (2)) ((*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) 1) (cbrt.f64 (*.f64 x (log.f64 x)))) (2)) ((*.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)) (2)) ((*.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))))) (2)) ((*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) (cbrt.f64 x)) (cbrt.f64 (log.f64 x))) (2)) ((*.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)) (2)) ((*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) 2) 3) (cbrt.f64 (*.f64 x (log.f64 x)))) (2)) ((sqrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 2)) (2)) ((log.f64 (pow.f64 x x)) (2)) ((cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3)) (2)) ((expm1.f64 (log1p.f64 (*.f64 x (log.f64 x)))) (2)) ((exp.f64 (log.f64 (*.f64 x (log.f64 x)))) (2)) ((exp.f64 (*.f64 (log.f64 (*.f64 x (log.f64 x))) 1)) (2)) ((log1p.f64 (-.f64 (pow.f64 x x) 1)) (2)))

(((-.f64 (+.f64 1 (cbrt.f64 (*.f64 x (log.f64 x)))) 1) (2)) ((*.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 1) (2)) ((*.f64 1 (cbrt.f64 (*.f64 x (log.f64 x)))) (2)) ((*.f64 (pow.f64 (*.f64 x (log.f64 x)) 1/6) (pow.f64 (*.f64 x (log.f64 x)) 1/6)) (2)) ((*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 x)) (2)) ((*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) 2)) (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)) (2)) ((*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) 2) (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x))))) (2)) ((*.f64 (cbrt.f64 x) (cbrt.f64 (log.f64 x))) (2)) ((*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x))))) (2)) ((*.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 x (log.f64 x)))) (2)) ((*.f64 (pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 1/3) (pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 1/3)) (2)) ((pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 1) (2)) ((pow.f64 (*.f64 x (log.f64 x)) 1/3) (2)) ((pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 1/6) 2) (2)) ((pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) 3) (2)) ((sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2)) (2)) ((log.f64 (exp.f64 (cbrt.f64 (*.f64 x (log.f64 x))))) (2)) ((expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 x (log.f64 x))))) (2)) ((exp.f64 (log.f64 (cbrt.f64 (*.f64 x (log.f64 x))))) (2)) ((exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) 1)) (2)) ((exp.f64 (*.f64 (log.f64 (*.f64 x (log.f64 x))) 1/3)) (2)) ((log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 x (log.f64 x))))) (2)))

simplify50.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1524×	`distribute-rgt-in`
1504×	`distribute-lft-in`
1410×	`associate-+r+`
1298×	`associate-+l+`
1018×	`unswap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	113	1411
1	246	1129
2	832	847
3	2785	847

Stop Event

1×	node limit

Counts

55 → 66

Calls

Call 1

Inputs
(-.f64 (+.f64 1 (*.f64 x (log.f64 x))) 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 (.f64 x (log.f64 x)) 1)
(.f64 1 (.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 (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 (cbrt.f64 (.f64 x x)) (*.f64 (cbrt.f64 x) (log.f64 x)))
(.f64 (.f64 x (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)))
(.f64 (.f64 x (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x)))
(.f64 (.f64 (log.f64 x) (sqrt.f64 x)) (sqrt.f64 x))
(.f64 (.f64 (log.f64 x) (cbrt.f64 (*.f64 x x))) (cbrt.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 (.f64 x (log.f64 x)) 1/6)) (pow.f64 (*.f64 x (log.f64 x)) 1/6))
(.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 (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 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (log.f64 x)))) 2) 3) (cbrt.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))))
(exp.f64 (.f64 (log.f64 (.f64 x (log.f64 x))) 1))
(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 (pow.f64 (.f64 x (log.f64 x)) 1/6) (pow.f64 (*.f64 x (log.f64 x)) 1/6))
(*.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 (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 (cbrt.f64 (*.f64 x (log.f64 x))) 1)
(pow.f64 (*.f64 x (log.f64 x)) 1/3)
(pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 1/6) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) 3)
(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)))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (log.f64 x)))) 1))
(exp.f64 (.f64 (log.f64 (.f64 x (log.f64 x))) 1/3))
(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 (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 (.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 (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 (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 (cbrt.f64 x) (.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) (cbrt.f64 (log.f64 x))))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (log.f64 x))) 2) (*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 x)))
(.f64 (cbrt.f64 (.f64 x x)) (*.f64 (cbrt.f64 x) (log.f64 x)))
(.f64 (cbrt.f64 (.f64 x x)) (*.f64 (log.f64 x) (cbrt.f64 x)))
(.f64 (log.f64 x) (.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x 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 (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 (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) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x))
(.f64 (cbrt.f64 (.f64 x x)) (*.f64 (log.f64 x) (cbrt.f64 x)))
(.f64 (log.f64 x) (.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x 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 (.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))
(.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 (cbrt.f64 x) (.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) (cbrt.f64 (log.f64 x))))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (log.f64 x))) 2) (*.f64 (cbrt.f64 (log.f64 x)) (cbrt.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 (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))
(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))
(exp.f64 (.f64 (log.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))
(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 (+.f64 1 (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 (+.f64 1 (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 (+.f64 1 (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 (.f64 x (log.f64 x)) 1/6) (pow.f64 (*.f64 x (log.f64 x)) 1/6))
(+.f64 (+.f64 1 (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 (+.f64 1 (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 (+.f64 1 (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 (+.f64 1 (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 (pow.f64 (cbrt.f64 (.f64 x (log.f64 x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))))
(+.f64 (+.f64 1 (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 (+.f64 1 (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 (cbrt.f64 (*.f64 x (log.f64 x))) 1)
(+.f64 (+.f64 1 (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 (*.f64 x (log.f64 x)) 1/3)
(+.f64 (+.f64 1 (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 (+.f64 1 (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 (+.f64 1 (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 (+.f64 1 (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 (+.f64 1 (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 (+.f64 1 (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 (+.f64 1 (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 (.f64 (log.f64 (cbrt.f64 (.f64 x (log.f64 x)))) 1))
(+.f64 (+.f64 1 (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 (.f64 (log.f64 (.f64 x (log.f64 x))) 1/3))
(+.f64 (+.f64 1 (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 (+.f64 1 (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 (0.2%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
✓	99.9%	(sqrt.f64 (*.f64 x (log.f64 x)))
✓	99.5%	(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)

series12.0ms (0.3%)

Counts

2 → 0

Calls

6 calls:

Time	Variable		Point	Expression
8.0ms	x	@	0	(pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 2)
2.0ms	x	@	-inf	(pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 2)
1.0ms	x	@	inf	(pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 2)
0.0ms	x	@	-inf	(sqrt.f64 (*.f64 x (log.f64 x)))
0.0ms	x	@	inf	(sqrt.f64 (*.f64 x (log.f64 x)))

rewrite56.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1364×	`add-sqr-sqrt`
1346×	`*-un-lft-identity`
1250×	`add-cube-cbrt`
1234×	`add-cbrt-cube`
1220×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	26
1	178	26
2	1774	26

Stop Event

1×	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) (2)) ((*.f64 x (log.f64 x)) (2)) ((*.f64 (log.f64 x) x) (2)) ((*.f64 (*.f64 x (log.f64 x)) 1) (2)) ((*.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (sqrt.f64 (*.f64 x (log.f64 x)))) (2)) ((*.f64 1 (*.f64 x (log.f64 x))) (2)) ((*.f64 (sqrt.f64 (log.f64 x)) (*.f64 (sqrt.f64 (log.f64 x)) x)) (2)) ((*.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))))) (2)) ((*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (log.f64 x))) (2)) ((*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (*.f64 x (log.f64 x))))) (2)) ((*.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (*.f64 (cbrt.f64 (log.f64 x)) x)) (2)) ((*.f64 (cbrt.f64 (*.f64 x (log.f64 x))) (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2)) (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))))) (2)) ((*.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) (cbrt.f64 (*.f64 x (log.f64 x)))) (2)) ((*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (log.f64 x))) (2)) ((*.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)) (2)) ((*.f64 (*.f64 x (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x))) (2)) ((*.f64 (*.f64 x (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x))) (2)) ((*.f64 (*.f64 (log.f64 x) (sqrt.f64 x)) (sqrt.f64 x)) (2)) ((*.f64 (*.f64 (log.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) (2)) ((*.f64 (*.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (sqrt.f64 x)) (sqrt.f64 (log.f64 x))) (2)) ((*.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))))) (2)) ((sqrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 2)) (2)) ((log.f64 (pow.f64 x x)) (2)) ((cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3)) (2)) ((expm1.f64 (log1p.f64 (*.f64 x (log.f64 x)))) (2)) ((exp.f64 (log.f64 (*.f64 x (log.f64 x)))) (2)) ((log1p.f64 (-.f64 (pow.f64 x x) 1)) (2)))

(((-.f64 (+.f64 1 (sqrt.f64 (*.f64 x (log.f64 x)))) 1) (2)) ((*.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 1) (2)) ((*.f64 1 (sqrt.f64 (*.f64 x (log.f64 x)))) (2)) ((*.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 x)) (2)) ((*.f64 (pow.f64 (*.f64 x (log.f64 x)) 1/4) (pow.f64 (*.f64 x (log.f64 x)) 1/4)) (2)) ((*.f64 (sqrt.f64 x) (sqrt.f64 (log.f64 x))) (2)) ((*.f64 (cbrt.f64 (*.f64 x (log.f64 x))) (cbrt.f64 (sqrt.f64 (*.f64 x (log.f64 x))))) (2)) ((*.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (log.f64 x)))) (cbrt.f64 (*.f64 x (log.f64 x)))) (2)) ((*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 x (log.f64 x))))) (2)) ((*.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 x (log.f64 x)))) (2)) ((*.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)) (2)) ((pow.f64 (*.f64 x (log.f64 x)) 1/2) (2)) ((pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 1) (2)) ((pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 1/4) 2) (2)) ((pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (log.f64 x)))) 3) (2)) ((pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 3/2) 1/3) (2)) ((fabs.f64 (sqrt.f64 (*.f64 x (log.f64 x)))) (2)) ((log.f64 (exp.f64 (sqrt.f64 (*.f64 x (log.f64 x))))) (2)) ((cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3/2)) (2)) ((expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 x (log.f64 x))))) (2)) ((exp.f64 (log.f64 (sqrt.f64 (*.f64 x (log.f64 x))))) (2)) ((log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 x (log.f64 x))))) (2)))

simplify58.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1286×	`distribute-lft-in`
1264×	`distribute-rgt-in`
1104×	`associate-+r+`
1016×	`associate-+l+`
788×	`unswap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	105	1248
1	221	978
2	866	708
3	2792	708

Stop Event

1×	node limit

Counts

50 → 59

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 (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 (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 (.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 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)))
(.f64 (.f64 x (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x)))
(.f64 (.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 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))
(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 (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 (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 (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 (pow.f64 (*.f64 x (log.f64 x)) 1/4) 2)
(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)
(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 (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 (sqrt.f64 (log.f64 x)) (.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (sqrt.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 (.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 (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 (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 (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 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)))
(.f64 (sqrt.f64 (log.f64 x)) (.f64 (sqrt.f64 (*.f64 x (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))
(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 (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 (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 (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 (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)))
(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)))
(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)))

eval41.0ms (0.9%)

Compiler: Compiled 2579 to 1068 computations (58.6% saved)

prune82.0ms (1.8%)

Pruning

15 alts after pruning (11 fresh and 4 done)

	Pruned	Kept	Total
New	238	11	249
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	238	15	253

Accurracy

99.9%

Counts

253 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	54.0%	(pow.f64 (*.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 x)) 2)
	97.3%	(pow.f64 (*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 x)) 3)
✓	54.1%	(pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 2)
✓	97.7%	(pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3)
	97.9%	(.f64 (pow.f64 (cbrt.f64 (.f64 x (log.f64 x))) 2) (*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 x)))
	98.0%	(.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (.f64 (cbrt.f64 (log.f64 x)) x))
	97.7%	(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (log.f64 x)))
	97.3%	(.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)))))
▶	97.7%	(.f64 (.f64 (log.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
▶	99.0%	(.f64 (.f64 (log.f64 x) (sqrt.f64 x)) (sqrt.f64 x))
	54.1%	(.f64 (.f64 x (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)))
▶	46.3%	(.f64 (cbrt.f64 (.f64 x x)) (*.f64 (log.f64 x) (cbrt.f64 x)))
✓	99.5%	(*.f64 x (log.f64 x))
✓	33.8%	(cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3))
▶	33.7%	(cbrt.f64 (.f64 (.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) x) (log.f64 x)))

Compiler

Compiled 297 to 183 computations (38.4% saved)

localize8.0ms (0.2%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	99.5%	(.f64 (.f64 (log.f64 x) (sqrt.f64 x)) (sqrt.f64 x))
✓	99.4%	(*.f64 (log.f64 x) (sqrt.f64 x))

Compiler

Compiled 19 to 5 computations (73.7% saved)

series4.0ms (0.1%)

Counts

2 → 12

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(.f64 (.f64 (log.f64 x) (sqrt.f64 x)) (sqrt.f64 x))
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))
0.0ms	x	@	0	(*.f64 (log.f64 x) (sqrt.f64 x))
0.0ms	x	@	inf	(*.f64 (log.f64 x) (sqrt.f64 x))

rewrite59.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1416×	`add-sqr-sqrt`
1402×	`*-un-lft-identity`
1296×	`add-cube-cbrt`
1272×	`add-cbrt-cube`
1258×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	26
1	153	26
2	1829	26

Stop Event

1×	node limit

Counts

2 → 24

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) (2)) ((pow.f64 (*.f64 (log.f64 x) (sqrt.f64 x)) 1) (2)) ((pow.f64 (sqrt.f64 (*.f64 (log.f64 x) (sqrt.f64 x))) 2) (2)) ((pow.f64 (cbrt.f64 (*.f64 (log.f64 x) (sqrt.f64 x))) 3) (2)) ((pow.f64 (pow.f64 (*.f64 (log.f64 x) (sqrt.f64 x)) 3) 1/3) (2)) ((sqrt.f64 (*.f64 x (pow.f64 (log.f64 x) 2))) (2)) ((log.f64 (pow.f64 x (sqrt.f64 x))) (2)) ((cbrt.f64 (pow.f64 (*.f64 (log.f64 x) (sqrt.f64 x)) 3)) (2)) ((expm1.f64 (log1p.f64 (*.f64 (log.f64 x) (sqrt.f64 x)))) (2)) ((exp.f64 (log.f64 (*.f64 (log.f64 x) (sqrt.f64 x)))) (2)) ((exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 x) (sqrt.f64 x))) 1)) (2)) ((log1p.f64 (-.f64 (pow.f64 x (sqrt.f64 x)) 1)) (2)))

(((-.f64 (+.f64 1 (*.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))) 2) (2)) ((pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3) (2)) ((pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) 1/3) (2)) ((sqrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 2)) (2)) ((log.f64 (pow.f64 x x)) (2)) ((cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3)) (2)) ((expm1.f64 (log1p.f64 (*.f64 x (log.f64 x)))) (2)) ((exp.f64 (log.f64 (*.f64 x (log.f64 x)))) (2)) ((exp.f64 (*.f64 (log.f64 (*.f64 x (log.f64 x))) 1)) (2)) ((log1p.f64 (-.f64 (pow.f64 x x) 1)) (2)))

simplify49.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1204×	`log-prod`
1124×	`associate-r`
1116×	`fma-def`
984×	`associate-l`
704×	`associate-+r+`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	73	582
1	176	522
2	671	462
3	3852	460

Stop Event

1×	node limit

Counts

36 → 36

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 (sqrt.f64 (*.f64 (log.f64 x) (sqrt.f64 x))) 2)
(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)
(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))))
(exp.f64 (.f64 (log.f64 (.f64 (log.f64 x) (sqrt.f64 x))) 1))
(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 (sqrt.f64 (*.f64 x (log.f64 x))) 2)
(pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3)
(pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) 1/3)
(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))))
(exp.f64 (.f64 (log.f64 (.f64 x (log.f64 x))) 1))
(log1p.f64 (-.f64 (pow.f64 x x) 1))

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))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x))
(*.f64 x (log.f64 x))
(log.f64 (pow.f64 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 x (log.f64 x))
(log.f64 (pow.f64 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 x (log.f64 x))
(log.f64 (pow.f64 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 x (log.f64 x))
(log.f64 (pow.f64 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 x (log.f64 x))
(log.f64 (pow.f64 x 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 (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))
(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))
(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))
(exp.f64 (.f64 (log.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))
(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))
(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 (sqrt.f64 (*.f64 x (log.f64 x))) 2)
(*.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))
(sqrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 2))
(*.f64 x (log.f64 x))
(log.f64 (pow.f64 x 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))
(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))
(exp.f64 (.f64 (log.f64 (.f64 x (log.f64 x))) 1))
(*.f64 x (log.f64 x))
(log.f64 (pow.f64 x 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)))

localize11.0ms (0.2%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	99.5%	(*.f64 (log.f64 x) (cbrt.f64 x))
✓	99.5%	(.f64 (cbrt.f64 (.f64 x x)) (*.f64 (log.f64 x) (cbrt.f64 x)))
✓	99.0%	(cbrt.f64 x)
✓	47.5%	(cbrt.f64 (*.f64 x x))

Compiler

Compiled 28 to 7 computations (75% saved)

series28.0ms (0.6%)

Counts

4 → 12

Calls

12 calls:

Time	Variable		Point	Expression
4.0ms	x	@	0	(cbrt.f64 x)
2.0ms	x	@	0	(.f64 (cbrt.f64 (.f64 x x)) (*.f64 (log.f64 x) (cbrt.f64 x)))
0.0ms	x	@	-inf	(*.f64 (log.f64 x) (cbrt.f64 x))
0.0ms	x	@	inf	(*.f64 (log.f64 x) (cbrt.f64 x))
0.0ms	x	@	0	(*.f64 (log.f64 x) (cbrt.f64 x))

rewrite81.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1678×	`add-sqr-sqrt`
1660×	`*-un-lft-identity`
1540×	`add-cube-cbrt`
1512×	`add-cbrt-cube`
182×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	62
1	189	42
2	2256	42

Stop Event

1×	node limit

Counts

4 → 75

Calls

Call 1

Inputs
(cbrt.f64 (*.f64 x x))
(cbrt.f64 x)
(.f64 (cbrt.f64 (.f64 x x)) (*.f64 (log.f64 x) (cbrt.f64 x)))
(*.f64 (log.f64 x) (cbrt.f64 x))

Outputs
(((-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (.f64 x x)))) 1) (2)) ((.f64 (cbrt.f64 (.f64 x x)) 1) (2)) ((.f64 (cbrt.f64 x) (cbrt.f64 x)) (2)) ((.f64 1 (cbrt.f64 (.f64 x x))) (2)) ((.f64 (pow.f64 x 1/6) (.f64 (pow.f64 x 1/6) (cbrt.f64 x))) (2)) ((.f64 (sqrt.f64 x) (pow.f64 x 1/6)) (2)) ((.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (.f64 x (cbrt.f64 x)))) (2)) ((.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 x))) (2)) ((.f64 (cbrt.f64 (.f64 x (cbrt.f64 x))) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)) (2)) ((.f64 (.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)) (cbrt.f64 (cbrt.f64 x))) (2)) ((.f64 (pow.f64 1 1/3) (cbrt.f64 (.f64 x x))) (2)) ((.f64 (pow.f64 (.f64 x (cbrt.f64 x)) 1/3) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)) (2)) ((pow.f64 x 2/3) (2)) ((pow.f64 (.f64 x x) 1/3) (2)) ((pow.f64 (cbrt.f64 (.f64 x x)) 1) (2)) ((pow.f64 (cbrt.f64 x) 2) (2)) ((pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) 3) (2)) ((sqrt.f64 (.f64 x (cbrt.f64 x))) (2)) ((log.f64 (exp.f64 (cbrt.f64 (.f64 x x)))) (2)) ((log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (.f64 x x))))) (2)) ((expm1.f64 (log1p.f64 (cbrt.f64 (.f64 x x)))) (2)) ((exp.f64 (log.f64 (cbrt.f64 (.f64 x x)))) (2)) ((exp.f64 (.f64 (.f64 2 (log.f64 x)) 1/3)) (2)) ((exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x x))) 1)) (2)) ((log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 x x)))) (2)))
(((-.f64 (exp.f64 (log1p.f64 (cbrt.f64 x))) 1) (2)) ((.f64 (cbrt.f64 x) 1) (2)) ((.f64 1 (cbrt.f64 x)) (2)) ((.f64 (pow.f64 x 1/6) (pow.f64 x 1/6)) (2)) ((.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (cbrt.f64 x))) (2)) ((.f64 (cbrt.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)) (2)) ((.f64 (sqrt.f64 (cbrt.f64 (.f64 x (cbrt.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))) (2)) ((.f64 (pow.f64 1 1/3) (cbrt.f64 x)) (2)) ((.f64 (pow.f64 (sqrt.f64 x) 1/3) (pow.f64 (sqrt.f64 x) 1/3)) (2)) ((pow.f64 x 1/3) (2)) ((pow.f64 (.f64 x x) 1/6) (2)) ((pow.f64 (cbrt.f64 (.f64 x x)) 1/2) (2)) ((pow.f64 (cbrt.f64 x) 1) (2)) ((pow.f64 (pow.f64 x 1/6) 2) (2)) ((pow.f64 (cbrt.f64 (cbrt.f64 x)) 3) (2)) ((sqrt.f64 (cbrt.f64 (.f64 x x))) (2)) ((fabs.f64 (cbrt.f64 x)) (2)) ((log.f64 (exp.f64 (cbrt.f64 x))) (2)) ((log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 x)))) (2)) ((expm1.f64 (log1p.f64 (cbrt.f64 x))) (2)) ((exp.f64 (log.f64 (cbrt.f64 x))) (2)) ((exp.f64 (.f64 (log.f64 x) 1/3)) (2)) ((exp.f64 (.f64 (log.f64 (cbrt.f64 x)) 1)) (2)) ((log1p.f64 (expm1.f64 (cbrt.f64 x))) (2)))
(((-.f64 (exp.f64 (log1p.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))) 2) (2)) ((pow.f64 (cbrt.f64 (.f64 x (log.f64 x))) 3) (2)) ((pow.f64 (pow.f64 (.f64 x (log.f64 x)) 3) 1/3) (2)) ((sqrt.f64 (pow.f64 (.f64 x (log.f64 x)) 2)) (2)) ((log.f64 (exp.f64 (.f64 x (log.f64 x)))) (2)) ((log.f64 (+.f64 1 (expm1.f64 (.f64 x (log.f64 x))))) (2)) ((cbrt.f64 (pow.f64 (.f64 x (log.f64 x)) 3)) (2)) ((expm1.f64 (log1p.f64 (.f64 x (log.f64 x)))) (2)) ((exp.f64 (log.f64 (.f64 x (log.f64 x)))) (2)) ((exp.f64 (.f64 (log.f64 (.f64 x (log.f64 x))) 1)) (2)) ((log1p.f64 (expm1.f64 (.f64 x (log.f64 x)))) (2)))
(((-.f64 (exp.f64 (log1p.f64 (.f64 (cbrt.f64 x) (log.f64 x)))) 1) (2)) ((pow.f64 (.f64 (cbrt.f64 x) (log.f64 x)) 1) (2)) ((pow.f64 (sqrt.f64 (.f64 (cbrt.f64 x) (log.f64 x))) 2) (2)) ((pow.f64 (cbrt.f64 (.f64 (cbrt.f64 x) (log.f64 x))) 3) (2)) ((pow.f64 (.f64 x (pow.f64 (log.f64 x) 3)) 1/3) (2)) ((sqrt.f64 (pow.f64 (.f64 (cbrt.f64 x) (log.f64 x)) 2)) (2)) ((log.f64 (pow.f64 x (cbrt.f64 x))) (2)) ((log.f64 (+.f64 1 (-.f64 (pow.f64 x (cbrt.f64 x)) 1))) (2)) ((cbrt.f64 (.f64 x (pow.f64 (log.f64 x) 3))) (2)) ((expm1.f64 (log1p.f64 (.f64 (cbrt.f64 x) (log.f64 x)))) (2)) ((exp.f64 (log.f64 (.f64 (cbrt.f64 x) (log.f64 x)))) (2)) ((exp.f64 (.f64 (log.f64 (*.f64 (cbrt.f64 x) (log.f64 x))) 1)) (2)) ((log1p.f64 (-.f64 (pow.f64 x (cbrt.f64 x)) 1)) (2)))

simplify173.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

1564×	`associate-+r+`
1344×	`associate-+l+`
782×	`unswap-sqr`
512×	`*-commutative`
428×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	161	1167
1	321	1153
2	1193	1147
3	4004	1147

Stop Event

1×	node limit

Counts

87 → 90

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 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 x x)))) 1)
(.f64 (cbrt.f64 (.f64 x x)) 1)
(*.f64 (cbrt.f64 x) (cbrt.f64 x))
(.f64 1 (cbrt.f64 (.f64 x x)))
(.f64 (pow.f64 x 1/6) (.f64 (pow.f64 x 1/6) (cbrt.f64 x)))
(*.f64 (sqrt.f64 x) (pow.f64 x 1/6))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (.f64 x (cbrt.f64 x))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 x)))
(.f64 (cbrt.f64 (.f64 x (cbrt.f64 x))) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))
(.f64 (.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)) (cbrt.f64 (cbrt.f64 x)))
(.f64 (pow.f64 1 1/3) (cbrt.f64 (.f64 x x)))
(.f64 (pow.f64 (.f64 x (cbrt.f64 x)) 1/3) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))
(pow.f64 x 2/3)
(pow.f64 (*.f64 x x) 1/3)
(pow.f64 (cbrt.f64 (*.f64 x x)) 1)
(pow.f64 (cbrt.f64 x) 2)
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) 3)
(sqrt.f64 (*.f64 x (cbrt.f64 x)))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 x x))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 x x)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 x x))))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 x x))))
(exp.f64 (.f64 (.f64 2 (log.f64 x)) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x x))) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 x x))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 x))) 1)
(*.f64 (cbrt.f64 x) 1)
(*.f64 1 (cbrt.f64 x))
(*.f64 (pow.f64 x 1/6) (pow.f64 x 1/6))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (cbrt.f64 x)))
(*.f64 (cbrt.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 x (cbrt.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 x))
(*.f64 (pow.f64 (sqrt.f64 x) 1/3) (pow.f64 (sqrt.f64 x) 1/3))
(pow.f64 x 1/3)
(pow.f64 (*.f64 x x) 1/6)
(pow.f64 (cbrt.f64 (*.f64 x x)) 1/2)
(pow.f64 (cbrt.f64 x) 1)
(pow.f64 (pow.f64 x 1/6) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 x)) 3)
(sqrt.f64 (cbrt.f64 (*.f64 x x)))
(fabs.f64 (cbrt.f64 x))
(log.f64 (exp.f64 (cbrt.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 x))))
(expm1.f64 (log1p.f64 (cbrt.f64 x)))
(exp.f64 (log.f64 (cbrt.f64 x)))
(exp.f64 (*.f64 (log.f64 x) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (*.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)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 2))
(log.f64 (exp.f64 (*.f64 x (log.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (log.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (log.f64 x))))
(exp.f64 (log.f64 (*.f64 x (log.f64 x))))
(exp.f64 (.f64 (log.f64 (.f64 x (log.f64 x))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (log.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cbrt.f64 x) (log.f64 x)))) 1)
(pow.f64 (*.f64 (cbrt.f64 x) (log.f64 x)) 1)
(pow.f64 (sqrt.f64 (*.f64 (cbrt.f64 x) (log.f64 x))) 2)
(pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 x) (log.f64 x))) 3)
(pow.f64 (*.f64 x (pow.f64 (log.f64 x) 3)) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (cbrt.f64 x) (log.f64 x)) 2))
(log.f64 (pow.f64 x (cbrt.f64 x)))
(log.f64 (+.f64 1 (-.f64 (pow.f64 x (cbrt.f64 x)) 1)))
(cbrt.f64 (*.f64 x (pow.f64 (log.f64 x) 3)))
(expm1.f64 (log1p.f64 (*.f64 (cbrt.f64 x) (log.f64 x))))
(exp.f64 (log.f64 (*.f64 (cbrt.f64 x) (log.f64 x))))
(exp.f64 (.f64 (log.f64 (.f64 (cbrt.f64 x) (log.f64 x))) 1))
(log1p.f64 (-.f64 (pow.f64 x (cbrt.f64 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 (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 (cbrt.f64 -1) (.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (neg.f64 x)))
(.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (.f64 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 (cbrt.f64 -1) (.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (neg.f64 x)))
(.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (.f64 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 (cbrt.f64 -1) (.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (neg.f64 x)))
(.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (.f64 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 (cbrt.f64 -1) (.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (neg.f64 x)))
(.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (.f64 x (neg.f64 (cbrt.f64 -1))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 x x)))) 1)
(cbrt.f64 (*.f64 x x))
(pow.f64 (cbrt.f64 x) 2)
(.f64 (cbrt.f64 (.f64 x x)) 1)
(cbrt.f64 (*.f64 x x))
(pow.f64 (cbrt.f64 x) 2)
(*.f64 (cbrt.f64 x) (cbrt.f64 x))
(cbrt.f64 (*.f64 x x))
(pow.f64 (cbrt.f64 x) 2)
(.f64 1 (cbrt.f64 (.f64 x x)))
(cbrt.f64 (*.f64 x x))
(pow.f64 (cbrt.f64 x) 2)
(.f64 (pow.f64 x 1/6) (.f64 (pow.f64 x 1/6) (cbrt.f64 x)))
(cbrt.f64 (*.f64 x x))
(pow.f64 (cbrt.f64 x) 2)
(*.f64 (sqrt.f64 x) (pow.f64 x 1/6))
(*.f64 (pow.f64 x 1/6) (sqrt.f64 x))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (.f64 x (cbrt.f64 x))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 x)))
(cbrt.f64 (*.f64 x x))
(pow.f64 (cbrt.f64 x) 2)
(.f64 (cbrt.f64 (.f64 x (cbrt.f64 x))) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (.f64 x (cbrt.f64 x))))
(.f64 (.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)) (cbrt.f64 (cbrt.f64 x)))
(cbrt.f64 (*.f64 x x))
(pow.f64 (cbrt.f64 x) 2)
(.f64 (pow.f64 1 1/3) (cbrt.f64 (.f64 x x)))
(cbrt.f64 (*.f64 x x))
(pow.f64 (cbrt.f64 x) 2)
(.f64 (pow.f64 (.f64 x (cbrt.f64 x)) 1/3) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (.f64 x (cbrt.f64 x))))
(pow.f64 x 2/3)
(cbrt.f64 (*.f64 x x))
(pow.f64 (cbrt.f64 x) 2)
(pow.f64 (*.f64 x x) 1/3)
(cbrt.f64 (*.f64 x x))
(pow.f64 (cbrt.f64 x) 2)
(pow.f64 (cbrt.f64 (*.f64 x x)) 1)
(cbrt.f64 (*.f64 x x))
(pow.f64 (cbrt.f64 x) 2)
(pow.f64 (cbrt.f64 x) 2)
(cbrt.f64 (*.f64 x x))
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) 3)
(cbrt.f64 (*.f64 x x))
(pow.f64 (cbrt.f64 x) 2)
(sqrt.f64 (*.f64 x (cbrt.f64 x)))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 x x))))
(cbrt.f64 (*.f64 x x))
(pow.f64 (cbrt.f64 x) 2)
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 x x)))))
(cbrt.f64 (*.f64 x x))
(pow.f64 (cbrt.f64 x) 2)
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 x x))))
(cbrt.f64 (*.f64 x x))
(pow.f64 (cbrt.f64 x) 2)
(exp.f64 (log.f64 (cbrt.f64 (*.f64 x x))))
(cbrt.f64 (*.f64 x x))
(pow.f64 (cbrt.f64 x) 2)
(exp.f64 (.f64 (.f64 2 (log.f64 x)) 1/3))
(cbrt.f64 (*.f64 x x))
(pow.f64 (cbrt.f64 x) 2)
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x x))) 1))
(cbrt.f64 (*.f64 x x))
(pow.f64 (cbrt.f64 x) 2)
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 x x))))
(cbrt.f64 (*.f64 x x))
(pow.f64 (cbrt.f64 x) 2)
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 x))) 1)
(cbrt.f64 x)
(*.f64 (cbrt.f64 x) 1)
(cbrt.f64 x)
(*.f64 1 (cbrt.f64 x))
(cbrt.f64 x)
(*.f64 (pow.f64 x 1/6) (pow.f64 x 1/6))
(cbrt.f64 x)
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (cbrt.f64 x)))
(cbrt.f64 x)
(*.f64 (cbrt.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))
(cbrt.f64 x)
(.f64 (sqrt.f64 (cbrt.f64 (.f64 x (cbrt.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 x (cbrt.f64 x)))) (fabs.f64 (cbrt.f64 (cbrt.f64 x))))
(.f64 (cbrt.f64 (cbrt.f64 x)) (pow.f64 (.f64 x (cbrt.f64 x)) 1/6))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 x))
(cbrt.f64 x)
(*.f64 (pow.f64 (sqrt.f64 x) 1/3) (pow.f64 (sqrt.f64 x) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))
(pow.f64 x 1/3)
(cbrt.f64 x)
(pow.f64 (*.f64 x x) 1/6)
(pow.f64 (cbrt.f64 (*.f64 x x)) 1/2)
(pow.f64 (*.f64 x x) 1/6)
(pow.f64 (cbrt.f64 x) 1)
(cbrt.f64 x)
(pow.f64 (pow.f64 x 1/6) 2)
(cbrt.f64 x)
(pow.f64 (cbrt.f64 (cbrt.f64 x)) 3)
(cbrt.f64 x)
(sqrt.f64 (cbrt.f64 (*.f64 x x)))
(pow.f64 (*.f64 x x) 1/6)
(fabs.f64 (cbrt.f64 x))
(cbrt.f64 x)
(log.f64 (exp.f64 (cbrt.f64 x)))
(cbrt.f64 x)
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 x))))
(cbrt.f64 x)
(expm1.f64 (log1p.f64 (cbrt.f64 x)))
(cbrt.f64 x)
(exp.f64 (log.f64 (cbrt.f64 x)))
(cbrt.f64 x)
(exp.f64 (*.f64 (log.f64 x) 1/3))
(cbrt.f64 x)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) 1))
(cbrt.f64 x)
(log1p.f64 (expm1.f64 (cbrt.f64 x)))
(cbrt.f64 x)
(-.f64 (exp.f64 (log1p.f64 (*.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 (sqrt.f64 (*.f64 x (log.f64 x))) 2)
(*.f64 x (log.f64 x))
(pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3)
(*.f64 x (log.f64 x))
(pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) 1/3)
(*.f64 x (log.f64 x))
(sqrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 2))
(*.f64 x (log.f64 x))
(log.f64 (exp.f64 (*.f64 x (log.f64 x))))
(*.f64 x (log.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (log.f64 x)))))
(*.f64 x (log.f64 x))
(cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3))
(*.f64 x (log.f64 x))
(expm1.f64 (log1p.f64 (*.f64 x (log.f64 x))))
(*.f64 x (log.f64 x))
(exp.f64 (log.f64 (*.f64 x (log.f64 x))))
(*.f64 x (log.f64 x))
(exp.f64 (.f64 (log.f64 (.f64 x (log.f64 x))) 1))
(*.f64 x (log.f64 x))
(log1p.f64 (expm1.f64 (*.f64 x (log.f64 x))))
(*.f64 x (log.f64 x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cbrt.f64 x) (log.f64 x)))) 1)
(*.f64 (log.f64 x) (cbrt.f64 x))
(pow.f64 (*.f64 (cbrt.f64 x) (log.f64 x)) 1)
(*.f64 (log.f64 x) (cbrt.f64 x))
(pow.f64 (sqrt.f64 (*.f64 (cbrt.f64 x) (log.f64 x))) 2)
(*.f64 (log.f64 x) (cbrt.f64 x))
(pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 x) (log.f64 x))) 3)
(*.f64 (log.f64 x) (cbrt.f64 x))
(pow.f64 (*.f64 x (pow.f64 (log.f64 x) 3)) 1/3)
(cbrt.f64 (*.f64 x (pow.f64 (log.f64 x) 3)))
(sqrt.f64 (pow.f64 (*.f64 (cbrt.f64 x) (log.f64 x)) 2))
(*.f64 (log.f64 x) (cbrt.f64 x))
(log.f64 (pow.f64 x (cbrt.f64 x)))
(*.f64 (log.f64 x) (cbrt.f64 x))
(log.f64 (+.f64 1 (-.f64 (pow.f64 x (cbrt.f64 x)) 1)))
(*.f64 (log.f64 x) (cbrt.f64 x))
(cbrt.f64 (*.f64 x (pow.f64 (log.f64 x) 3)))
(expm1.f64 (log1p.f64 (*.f64 (cbrt.f64 x) (log.f64 x))))
(*.f64 (log.f64 x) (cbrt.f64 x))
(exp.f64 (log.f64 (*.f64 (cbrt.f64 x) (log.f64 x))))
(*.f64 (log.f64 x) (cbrt.f64 x))
(exp.f64 (.f64 (log.f64 (.f64 (cbrt.f64 x) (log.f64 x))) 1))
(*.f64 (log.f64 x) (cbrt.f64 x))
(log1p.f64 (-.f64 (pow.f64 x (cbrt.f64 x)) 1))
(*.f64 (log.f64 x) (cbrt.f64 x))

localize28.0ms (0.6%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
✓	99.9%	(sqrt.f64 (log.f64 x))
✓	99.7%	(*.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 x))
✓	99.5%	(pow.f64 (*.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 x)) 2)

Compiler

Compiled 24 to 8 computations (66.7% saved)

series7.0ms (0.2%)

Counts

3 → 8

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(pow.f64 (*.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 x)) 2)
1.0ms	x	@	0	(pow.f64 (*.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 x)) 2)
1.0ms	x	@	inf	(pow.f64 (*.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 x)) 2)
1.0ms	x	@	-inf	(*.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 x))
1.0ms	x	@	-inf	(sqrt.f64 (log.f64 x))

rewrite88.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

1636×	`add-sqr-sqrt`
1618×	`*-un-lft-identity`
1496×	`add-cube-cbrt`
1478×	`add-cbrt-cube`
184×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	45
1	199	35
2	2246	35

Stop Event

1×	node limit

Counts

3 → 66

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))
(sqrt.f64 (log.f64 x))

Outputs

(((-.f64 (exp.f64 (log1p.f64 (*.f64 x (log.f64 x)))) 1) (2)) ((*.f64 x (log.f64 x)) (2)) ((*.f64 (log.f64 x) x) (2)) ((*.f64 (sqrt.f64 (log.f64 x)) (*.f64 (sqrt.f64 (log.f64 x)) x)) (2)) ((*.f64 (sqrt.f64 (log.f64 x)) (*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x (log.f64 x))))) (2)) ((*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (*.f64 x (log.f64 x))))) (2)) ((*.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (sqrt.f64 (*.f64 x (log.f64 x)))) (2)) ((*.f64 (*.f64 x (log.f64 x)) 1) (2)) ((*.f64 1 (*.f64 x (log.f64 x))) (2)) ((*.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))))) (2)) ((*.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (*.f64 (cbrt.f64 (log.f64 x)) x)) (2)) ((*.f64 (cbrt.f64 (*.f64 x (log.f64 x))) (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2)) (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))))) (2)) ((*.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) (cbrt.f64 (*.f64 x (log.f64 x)))) (2)) ((*.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))))) (2)) ((*.f64 (*.f64 (log.f64 x) (sqrt.f64 x)) (sqrt.f64 x)) (2)) ((*.f64 (*.f64 (log.f64 x) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x)) (2)) ((*.f64 (*.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (sqrt.f64 (log.f64 x))) (sqrt.f64 x)) (2)) ((*.f64 (*.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (sqrt.f64 x)) (sqrt.f64 (log.f64 x))) (2)) ((*.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))))) (2)) ((sqrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 2)) (2)) ((log.f64 (pow.f64 x x)) (2)) ((log.f64 (+.f64 1 (-.f64 (pow.f64 x x) 1))) (2)) ((cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3)) (2)) ((expm1.f64 (log1p.f64 (*.f64 x (log.f64 x)))) (2)) ((exp.f64 (log.f64 (*.f64 x (log.f64 x)))) (2)) ((exp.f64 (*.f64 (log.f64 (*.f64 x (log.f64 x))) 1)) (2)) ((log1p.f64 (-.f64 (pow.f64 x x) 1)) (2)))

(((-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 x (log.f64 x))))) 1) (2)) ((pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 1) (2)) ((pow.f64 (*.f64 x (log.f64 x)) 1/2) (2)) ((pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (log.f64 x)))) 2) (2)) ((pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (log.f64 x)))) 3) (2)) ((pow.f64 (pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 3) 1/3) (2)) ((sqrt.f64 (*.f64 x (log.f64 x))) (2)) ((fabs.f64 (sqrt.f64 (*.f64 x (log.f64 x)))) (2)) ((log.f64 (exp.f64 (sqrt.f64 (*.f64 x (log.f64 x))))) (2)) ((log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 x (log.f64 x)))))) (2)) ((cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 3)) (2)) ((expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 x (log.f64 x))))) (2)) ((exp.f64 (log.f64 (sqrt.f64 (*.f64 x (log.f64 x))))) (2)) ((exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (log.f64 x)))) 1)) (2)) ((log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 x (log.f64 x))))) (2)))

(((-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (log.f64 x)))) 1) (2)) ((*.f64 (sqrt.f64 (log.f64 x)) 1) (2)) ((*.f64 1 (sqrt.f64 (log.f64 x))) (2)) ((*.f64 (pow.f64 (log.f64 x) 1/4) (pow.f64 (log.f64 x) 1/4)) (2)) ((*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 (sqrt.f64 (log.f64 x)))) (2)) ((*.f64 (cbrt.f64 (sqrt.f64 (log.f64 x))) (cbrt.f64 (log.f64 x))) (2)) ((*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (sqrt.f64 (cbrt.f64 (log.f64 x)))) (2)) ((*.f64 (pow.f64 1 1/2) (sqrt.f64 (log.f64 x))) (2)) ((*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) 1/2) (pow.f64 (cbrt.f64 (log.f64 x)) 1/2)) (2)) ((pow.f64 (log.f64 x) 1/2) (2)) ((pow.f64 (sqrt.f64 (log.f64 x)) 1) (2)) ((pow.f64 (pow.f64 (log.f64 x) 1/4) 2) (2)) ((pow.f64 (cbrt.f64 (sqrt.f64 (log.f64 x))) 3) (2)) ((pow.f64 (pow.f64 (log.f64 x) 3/2) 1/3) (2)) ((fabs.f64 (sqrt.f64 (log.f64 x))) (2)) ((log.f64 (exp.f64 (sqrt.f64 (log.f64 x)))) (2)) ((log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (log.f64 x))))) (2)) ((cbrt.f64 (pow.f64 (log.f64 x) 3/2)) (2)) ((expm1.f64 (log1p.f64 (sqrt.f64 (log.f64 x)))) (2)) ((exp.f64 (log.f64 (sqrt.f64 (log.f64 x)))) (2)) ((exp.f64 (*.f64 (log.f64 (log.f64 x)) 1/2)) (2)) ((exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 x))) 1)) (2)) ((log1p.f64 (expm1.f64 (sqrt.f64 (log.f64 x)))) (2)))

simplify95.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

668×	`*-commutative`
632×	`+-commutative`
610×	`distribute-lft-in`
592×	`distribute-rgt-in`
506×	`distribute-lft-neg-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	147	1482
1	290	1424
2	1380	1416
3	4486	1024

Stop Event

1×	node limit

Counts

74 → 79

Calls

Call 1

Inputs
(*.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 (exp.f64 (log1p.f64 (*.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 (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 (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 (.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) (cbrt.f64 (*.f64 x x))) (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))
(log.f64 (+.f64 1 (-.f64 (pow.f64 x x) 1)))
(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))))
(exp.f64 (.f64 (log.f64 (.f64 x (log.f64 x))) 1))
(log1p.f64 (-.f64 (pow.f64 x x) 1))
(-.f64 (exp.f64 (log1p.f64 (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 (sqrt.f64 (sqrt.f64 (*.f64 x (log.f64 x)))) 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)
(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)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 x (log.f64 x))))))
(cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 3))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 x (log.f64 x)))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 x (log.f64 x)))))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (log.f64 x)))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 x (log.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (log.f64 x)))) 1)
(*.f64 (sqrt.f64 (log.f64 x)) 1)
(*.f64 1 (sqrt.f64 (log.f64 x)))
(*.f64 (pow.f64 (log.f64 x) 1/4) (pow.f64 (log.f64 x) 1/4))
(*.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 (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 (pow.f64 (log.f64 x) 1/4) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (log.f64 x))) 3)
(pow.f64 (pow.f64 (log.f64 x) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (log.f64 x)))
(log.f64 (exp.f64 (sqrt.f64 (log.f64 x))))
(log.f64 (+.f64 1 (expm1.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))))
(exp.f64 (*.f64 (log.f64 (log.f64 x)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 x))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (log.f64 x))))

Outputs
(*.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 (exp.f64 (log1p.f64 (*.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 (sqrt.f64 (log.f64 x)) (.f64 (sqrt.f64 (log.f64 x)) x))
(*.f64 x (log.f64 x))
(.f64 (sqrt.f64 (log.f64 x)) (.f64 (sqrt.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 (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 (sqrt.f64 (log.f64 x)) (.f64 (sqrt.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 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 (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 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))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 x (log.f64 x)))) (sqrt.f64 (*.f64 x (log.f64 x)))))
(*.f64 x (log.f64 x))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (log.f64 x))) 2) (cbrt.f64 (*.f64 x (log.f64 x))))
(*.f64 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 x (log.f64 x))
(.f64 (.f64 (log.f64 x) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 x (log.f64 x))
(.f64 (.f64 (log.f64 x) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x))
(.f64 (log.f64 x) (.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x)))
(.f64 (cbrt.f64 (.f64 x x)) (*.f64 (log.f64 x) (cbrt.f64 x)))
(.f64 (.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (sqrt.f64 (log.f64 x))) (sqrt.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 (sqrt.f64 (log.f64 x)) (.f64 (sqrt.f64 x) (sqrt.f64 (*.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)))
(.f64 (sqrt.f64 (log.f64 x)) (.f64 (sqrt.f64 x) (sqrt.f64 (*.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 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))
(log.f64 (+.f64 1 (-.f64 (pow.f64 x x) 1)))
(*.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))
(exp.f64 (.f64 (log.f64 (.f64 x (log.f64 x))) 1))
(*.f64 x (log.f64 x))
(log1p.f64 (-.f64 (pow.f64 x x) 1))
(*.f64 x (log.f64 x))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 x (log.f64 x))))) 1)
(sqrt.f64 (*.f64 x (log.f64 x)))
(pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 1)
(sqrt.f64 (*.f64 x (log.f64 x)))
(pow.f64 (*.f64 x (log.f64 x)) 1/2)
(sqrt.f64 (*.f64 x (log.f64 x)))
(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (log.f64 x)))) 2)
(sqrt.f64 (*.f64 x (log.f64 x)))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (log.f64 x)))) 3)
(sqrt.f64 (*.f64 x (log.f64 x)))
(pow.f64 (pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 3) 1/3)
(sqrt.f64 (*.f64 x (log.f64 x)))
(sqrt.f64 (*.f64 x (log.f64 x)))
(fabs.f64 (sqrt.f64 (*.f64 x (log.f64 x))))
(sqrt.f64 (*.f64 x (log.f64 x)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 x (log.f64 x)))))
(sqrt.f64 (*.f64 x (log.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 x (log.f64 x))))))
(sqrt.f64 (*.f64 x (log.f64 x)))
(cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 3))
(sqrt.f64 (*.f64 x (log.f64 x)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 x (log.f64 x)))))
(sqrt.f64 (*.f64 x (log.f64 x)))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 x (log.f64 x)))))
(sqrt.f64 (*.f64 x (log.f64 x)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (log.f64 x)))) 1))
(sqrt.f64 (*.f64 x (log.f64 x)))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 x (log.f64 x)))))
(sqrt.f64 (*.f64 x (log.f64 x)))
(-.f64 (exp.f64 (log1p.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 (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 (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 (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 (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 (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))
(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))
(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))
(log.f64 (+.f64 1 (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))
(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))
(exp.f64 (*.f64 (log.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))
(exp.f64 (*.f64 (log.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))
(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))

localize12.0ms (0.3%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	99.5%	(*.f64 (log.f64 x) (pow.f64 (cbrt.f64 x) 2))
✓	99.4%	(.f64 (.f64 (log.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
✓	99.3%	(pow.f64 (cbrt.f64 x) 2)
	99.0%	(cbrt.f64 x)

Compiler

Compiled 28 to 13 computations (53.6% saved)

series3.0ms (0.1%)

Counts

3 → 12

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(.f64 (.f64 (log.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
1.0ms	x	@	-inf	(*.f64 (log.f64 x) (pow.f64 (cbrt.f64 x) 2))
0.0ms	x	@	-inf	(pow.f64 (cbrt.f64 x) 2)
0.0ms	x	@	inf	(pow.f64 (cbrt.f64 x) 2)
0.0ms	x	@	0	(pow.f64 (cbrt.f64 x) 2)

rewrite86.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1672×	`add-sqr-sqrt`
1652×	`*-un-lft-identity`
1534×	`add-cube-cbrt`
1508×	`add-cbrt-cube`
182×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	43
1	196	43
2	2232	43

Stop Event

1×	node limit

Counts

3 → 44

Calls

Call 1

Inputs
(pow.f64 (cbrt.f64 x) 2)
(.f64 (.f64 (log.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (log.f64 x) (pow.f64 (cbrt.f64 x) 2))

Outputs

(((-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 x) 2))) 1) (2)) ((*.f64 (cbrt.f64 x) (cbrt.f64 x)) (2)) ((*.f64 (pow.f64 (cbrt.f64 x) 2) 1) (2)) ((*.f64 1 (pow.f64 (cbrt.f64 x) 2)) (2)) ((*.f64 (pow.f64 x 1/6) (*.f64 (pow.f64 x 1/6) (cbrt.f64 x))) (2)) ((*.f64 (sqrt.f64 x) (pow.f64 x 1/6)) (2)) ((*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (*.f64 x (cbrt.f64 x)))) (2)) ((*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 x))) (2)) ((*.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)) (2)) ((*.f64 (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)) (cbrt.f64 (cbrt.f64 x))) (2)) ((sqrt.f64 (*.f64 x (cbrt.f64 x))) (2)) ((log.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2))) (2)) ((log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 x) 2)))) (2)) ((cbrt.f64 (*.f64 x x)) (2)) ((expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 x) 2))) (2)) ((exp.f64 (*.f64 2 (log.f64 (cbrt.f64 x)))) (2)) ((exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 x))) 1)) (2)) ((log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 x) 2))) (2)))

(((-.f64 (exp.f64 (log1p.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))) 2) (2)) ((pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3) (2)) ((pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) 1/3) (2)) ((sqrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 2)) (2)) ((log.f64 (pow.f64 x x)) (2)) ((log.f64 (+.f64 1 (-.f64 (pow.f64 x x) 1))) (2)) ((cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3)) (2)) ((expm1.f64 (log1p.f64 (*.f64 x (log.f64 x)))) (2)) ((exp.f64 (log.f64 (*.f64 x (log.f64 x)))) (2)) ((exp.f64 (*.f64 (log.f64 (*.f64 x (log.f64 x))) 1)) (2)) ((log1p.f64 (-.f64 (pow.f64 x x) 1)) (2)))

(((-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (log.f64 x)))) 1) (2)) ((pow.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (log.f64 x)) 1) (2)) ((pow.f64 (*.f64 (cbrt.f64 x) (sqrt.f64 (log.f64 x))) 2) (2)) ((pow.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (log.f64 x))) 3) (2)) ((pow.f64 (*.f64 (pow.f64 (log.f64 x) 3) (*.f64 x x)) 1/3) (2)) ((sqrt.f64 (*.f64 (pow.f64 (log.f64 x) 2) (*.f64 x (cbrt.f64 x)))) (2)) ((log.f64 (pow.f64 x (pow.f64 (cbrt.f64 x) 2))) (2)) ((log.f64 (+.f64 1 (-.f64 (pow.f64 x (pow.f64 (cbrt.f64 x) 2)) 1))) (2)) ((cbrt.f64 (*.f64 (pow.f64 (log.f64 x) 3) (*.f64 x x))) (2)) ((expm1.f64 (log1p.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (log.f64 x)))) (2)) ((exp.f64 (log.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (log.f64 x)))) (2)) ((exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (log.f64 x))) 1)) (2)) ((log1p.f64 (-.f64 (pow.f64 x (pow.f64 (cbrt.f64 x) 2)) 1)) (2)))

simplify84.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1038×	`associate-r`
946×	`associate-l`
918×	`log-prod`
800×	`fma-def`
676×	`associate-+r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	113	826
1	239	826
2	700	826
3	3530	826

Stop Event

1×	node limit

Counts

56 → 55

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 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 x) 2))) 1)
(*.f64 (cbrt.f64 x) (cbrt.f64 x))
(*.f64 (pow.f64 (cbrt.f64 x) 2) 1)
(*.f64 1 (pow.f64 (cbrt.f64 x) 2))
(.f64 (pow.f64 x 1/6) (.f64 (pow.f64 x 1/6) (cbrt.f64 x)))
(*.f64 (sqrt.f64 x) (pow.f64 x 1/6))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (.f64 x (cbrt.f64 x))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 x)))
(.f64 (cbrt.f64 (.f64 x (cbrt.f64 x))) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))
(.f64 (.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)) (cbrt.f64 (cbrt.f64 x)))
(sqrt.f64 (*.f64 x (cbrt.f64 x)))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 x) 2))))
(cbrt.f64 (*.f64 x x))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 x) 2)))
(exp.f64 (*.f64 2 (log.f64 (cbrt.f64 x))))
(exp.f64 (.f64 (.f64 2 (log.f64 (cbrt.f64 x))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 x) 2)))
(-.f64 (exp.f64 (log1p.f64 (*.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)) 3) 1/3)
(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))
(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))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (log.f64 x)))) 1)
(pow.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (log.f64 x)) 1)
(pow.f64 (*.f64 (cbrt.f64 x) (sqrt.f64 (log.f64 x))) 2)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (log.f64 x))) 3)
(pow.f64 (.f64 (pow.f64 (log.f64 x) 3) (.f64 x x)) 1/3)
(sqrt.f64 (.f64 (pow.f64 (log.f64 x) 2) (.f64 x (cbrt.f64 x))))
(log.f64 (pow.f64 x (pow.f64 (cbrt.f64 x) 2)))
(log.f64 (+.f64 1 (-.f64 (pow.f64 x (pow.f64 (cbrt.f64 x) 2)) 1)))
(cbrt.f64 (.f64 (pow.f64 (log.f64 x) 3) (.f64 x x)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (log.f64 x))))
(exp.f64 (log.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (log.f64 x))))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) (log.f64 x))) 1))
(log1p.f64 (-.f64 (pow.f64 x (pow.f64 (cbrt.f64 x) 2)) 1))

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))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x))
(*.f64 x (log.f64 x))
(log.f64 (pow.f64 x x))
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)
(*.f64 x (log.f64 x))
(log.f64 (pow.f64 x x))
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)
(*.f64 x (log.f64 x))
(log.f64 (pow.f64 x x))
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)
(*.f64 x (log.f64 x))
(log.f64 (pow.f64 x x))
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)
(*.f64 x (log.f64 x))
(log.f64 (pow.f64 x x))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 x) 2))) 1)
(pow.f64 (cbrt.f64 x) 2)
(*.f64 (cbrt.f64 x) (cbrt.f64 x))
(pow.f64 (cbrt.f64 x) 2)
(*.f64 (pow.f64 (cbrt.f64 x) 2) 1)
(pow.f64 (cbrt.f64 x) 2)
(*.f64 1 (pow.f64 (cbrt.f64 x) 2))
(pow.f64 (cbrt.f64 x) 2)
(.f64 (pow.f64 x 1/6) (.f64 (pow.f64 x 1/6) (cbrt.f64 x)))
(pow.f64 (cbrt.f64 x) 2)
(*.f64 (sqrt.f64 x) (pow.f64 x 1/6))
(*.f64 (pow.f64 x 1/6) (sqrt.f64 x))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (.f64 x (cbrt.f64 x))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 x)))
(pow.f64 (cbrt.f64 x) 2)
(.f64 (cbrt.f64 (.f64 x (cbrt.f64 x))) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (.f64 x (cbrt.f64 x))))
(.f64 (.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)) (cbrt.f64 (cbrt.f64 x)))
(pow.f64 (cbrt.f64 x) 2)
(sqrt.f64 (*.f64 x (cbrt.f64 x)))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)))
(pow.f64 (cbrt.f64 x) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 x) 2))))
(pow.f64 (cbrt.f64 x) 2)
(cbrt.f64 (*.f64 x x))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 x) 2)))
(pow.f64 (cbrt.f64 x) 2)
(exp.f64 (*.f64 2 (log.f64 (cbrt.f64 x))))
(pow.f64 (cbrt.f64 x) 2)
(exp.f64 (.f64 (.f64 2 (log.f64 (cbrt.f64 x))) 1))
(pow.f64 (cbrt.f64 x) 2)
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 x) 2)))
(pow.f64 (cbrt.f64 x) 2)
(-.f64 (exp.f64 (log1p.f64 (*.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 (sqrt.f64 (*.f64 x (log.f64 x))) 2)
(*.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))
(sqrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 2))
(*.f64 x (log.f64 x))
(log.f64 (pow.f64 x x))
(log.f64 (pow.f64 x x))
(*.f64 x (log.f64 x))
(log.f64 (+.f64 1 (-.f64 (pow.f64 x x) 1)))
(*.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))
(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))
(exp.f64 (.f64 (log.f64 (.f64 x (log.f64 x))) 1))
(*.f64 x (log.f64 x))
(log.f64 (pow.f64 x x))
(log1p.f64 (-.f64 (pow.f64 x x) 1))
(*.f64 x (log.f64 x))
(log.f64 (pow.f64 x x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (log.f64 x)))) 1)
(*.f64 (log.f64 x) (pow.f64 (cbrt.f64 x) 2))
(pow.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (log.f64 x)) 1)
(*.f64 (log.f64 x) (pow.f64 (cbrt.f64 x) 2))
(pow.f64 (*.f64 (cbrt.f64 x) (sqrt.f64 (log.f64 x))) 2)
(*.f64 (log.f64 x) (pow.f64 (cbrt.f64 x) 2))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (log.f64 x))) 3)
(*.f64 (log.f64 x) (pow.f64 (cbrt.f64 x) 2))
(pow.f64 (.f64 (pow.f64 (log.f64 x) 3) (.f64 x x)) 1/3)
(cbrt.f64 (.f64 (.f64 x x) (pow.f64 (log.f64 x) 3)))
(cbrt.f64 (.f64 x (.f64 x (pow.f64 (log.f64 x) 3))))
(sqrt.f64 (.f64 (pow.f64 (log.f64 x) 2) (.f64 x (cbrt.f64 x))))
(sqrt.f64 (.f64 (.f64 x (cbrt.f64 x)) (pow.f64 (log.f64 x) 2)))
(sqrt.f64 (.f64 x (.f64 (cbrt.f64 x) (pow.f64 (log.f64 x) 2))))
(log.f64 (pow.f64 x (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (log.f64 x) (pow.f64 (cbrt.f64 x) 2))
(log.f64 (+.f64 1 (-.f64 (pow.f64 x (pow.f64 (cbrt.f64 x) 2)) 1)))
(*.f64 (log.f64 x) (pow.f64 (cbrt.f64 x) 2))
(cbrt.f64 (.f64 (pow.f64 (log.f64 x) 3) (.f64 x x)))
(cbrt.f64 (.f64 (.f64 x x) (pow.f64 (log.f64 x) 3)))
(cbrt.f64 (.f64 x (.f64 x (pow.f64 (log.f64 x) 3))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (log.f64 x))))
(*.f64 (log.f64 x) (pow.f64 (cbrt.f64 x) 2))
(exp.f64 (log.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (log.f64 x))))
(*.f64 (log.f64 x) (pow.f64 (cbrt.f64 x) 2))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) (log.f64 x))) 1))
(*.f64 (log.f64 x) (pow.f64 (cbrt.f64 x) 2))
(log1p.f64 (-.f64 (pow.f64 x (pow.f64 (cbrt.f64 x) 2)) 1))
(*.f64 (log.f64 x) (pow.f64 (cbrt.f64 x) 2))

localize16.0ms (0.4%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	99.8%	(.f64 (.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) x) (log.f64 x))
✓	99.6%	(pow.f64 (*.f64 x (log.f64 x)) 2)
	99.5%	(*.f64 x (log.f64 x))
✓	36.2%	(cbrt.f64 (.f64 (.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) x) (log.f64 x)))

Compiler

Compiled 46 to 18 computations (60.9% saved)

series7.0ms (0.2%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(.f64 (.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) x) (log.f64 x))
2.0ms	x	@	inf	(.f64 (.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) x) (log.f64 x))
1.0ms	x	@	0	(.f64 (.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) x) (log.f64 x))
0.0ms	x	@	inf	(pow.f64 (*.f64 x (log.f64 x)) 2)
0.0ms	x	@	-inf	(pow.f64 (*.f64 x (log.f64 x)) 2)

rewrite71.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1720×	`add-sqr-sqrt`
1700×	`*-un-lft-identity`
1582×	`add-cube-cbrt`
1552×	`add-cbrt-cube`
188×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	61
1	220	45
2	2370	45

Stop Event

1×	node limit

Counts

3 → 75

Calls

Call 1

Inputs
(cbrt.f64 (.f64 (.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) x) (log.f64 x)))
(pow.f64 (*.f64 x (log.f64 x)) 2)
(.f64 (.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) x) (log.f64 x))

Outputs

(((-.f64 (exp.f64 (log1p.f64 (*.f64 x (log.f64 x)))) 1) (2)) ((*.f64 x (log.f64 x)) (2)) ((*.f64 (log.f64 x) x) (2)) ((*.f64 (*.f64 x (log.f64 x)) 1) (2)) ((*.f64 1 (*.f64 x (log.f64 x))) (2)) ((*.f64 (sqrt.f64 (log.f64 x)) (*.f64 (sqrt.f64 (log.f64 x)) x)) (2)) ((*.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (sqrt.f64 (*.f64 x (log.f64 x)))) (2)) ((*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (log.f64 x))) (2)) ((*.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) (cbrt.f64 (*.f64 x (log.f64 x)))) (2)) ((*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 (*.f64 x (pow.f64 (*.f64 x (log.f64 x)) 2)))) (2)) ((*.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (*.f64 (cbrt.f64 (log.f64 x)) x)) (2)) ((*.f64 (cbrt.f64 (*.f64 x (pow.f64 (*.f64 x (log.f64 x)) 2))) (cbrt.f64 (log.f64 x))) (2)) ((*.f64 (cbrt.f64 (*.f64 x (log.f64 x))) (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2)) (2)) ((*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (log.f64 x))) (2)) ((*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2))) (2)) ((*.f64 (*.f64 x (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x))) (2)) ((*.f64 (*.f64 x (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x))) (2)) ((*.f64 (*.f64 (log.f64 x) (sqrt.f64 x)) (sqrt.f64 x)) (2)) ((*.f64 (*.f64 (log.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) (2)) ((*.f64 (pow.f64 1 1/3) (*.f64 x (log.f64 x))) (2)) ((*.f64 (pow.f64 (sqrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3)) 1/3)) (2)) ((pow.f64 (*.f64 x (log.f64 x)) 1) (2)) ((pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) 1/2) (2)) ((pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) 1/3) (2)) ((pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 2) (2)) ((pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3) (2)) ((sqrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 2)) (2)) ((fabs.f64 (*.f64 x (log.f64 x))) (2)) ((log.f64 (pow.f64 x x)) (2)) ((log.f64 (+.f64 1 (-.f64 (pow.f64 x x) 1))) (2)) ((expm1.f64 (log1p.f64 (*.f64 x (log.f64 x)))) (2)) ((exp.f64 (log.f64 (*.f64 x (log.f64 x)))) (2)) ((exp.f64 (*.f64 (log.f64 (*.f64 x (log.f64 x))) 1)) (2)) ((exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (log.f64 x)) 3)) 1/3)) (2)) ((log1p.f64 (-.f64 (pow.f64 x x) 1)) (2)))

(((-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 x (log.f64 x)) 2))) 1) (2)) ((*.f64 x (*.f64 (log.f64 x) (*.f64 x (log.f64 x)))) (2)) ((*.f64 (log.f64 x) (*.f64 x (*.f64 x (log.f64 x)))) (2)) ((*.f64 (*.f64 x (log.f64 x)) (*.f64 x (log.f64 x))) (2)) ((*.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) 1) (2)) ((*.f64 1 (pow.f64 (*.f64 x (log.f64 x)) 2)) (2)) ((*.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (*.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (*.f64 x (log.f64 x)))) (2)) ((*.f64 (sqrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3)) (sqrt.f64 (*.f64 x (log.f64 x)))) (2)) ((*.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) (cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 4))) (2)) ((*.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) (*.f64 (cbrt.f64 (*.f64 x (log.f64 x))) (*.f64 x (log.f64 x)))) (2)) ((*.f64 (cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 4)) (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2)) (2)) ((*.f64 (cbrt.f64 (*.f64 x (pow.f64 (*.f64 x (log.f64 x)) 2))) (*.f64 (cbrt.f64 (log.f64 x)) (*.f64 x (log.f64 x)))) (2)) ((*.f64 (pow.f64 (cbrt.f64 (*.f64 x (pow.f64 (*.f64 x (log.f64 x)) 2))) 2) (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (2)) ((*.f64 (pow.f64 (log.f64 x) 2) (*.f64 x x)) (2)) ((*.f64 (*.f64 x x) (pow.f64 (log.f64 x) 2)) (2)) ((*.f64 (*.f64 (*.f64 x (log.f64 x)) x) (log.f64 x)) (2)) ((*.f64 (*.f64 (*.f64 x (log.f64 x)) (log.f64 x)) x) (2)) ((*.f64 (*.f64 (*.f64 x (log.f64 x)) (cbrt.f64 (*.f64 x (pow.f64 (*.f64 x (log.f64 x)) 2)))) (cbrt.f64 (log.f64 x))) (2)) ((*.f64 (*.f64 (*.f64 x (log.f64 x)) (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2)) (cbrt.f64 (*.f64 x (log.f64 x)))) (2)) ((sqrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 4)) (2)) ((log.f64 (exp.f64 (pow.f64 (*.f64 x (log.f64 x)) 2))) (2)) ((log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 x (log.f64 x)) 2)))) (2)) ((cbrt.f64 (pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) 3)) (2)) ((expm1.f64 (log1p.f64 (pow.f64 (*.f64 x (log.f64 x)) 2))) (2)) ((exp.f64 (*.f64 2 (log.f64 (*.f64 x (log.f64 x))))) (2)) ((exp.f64 (*.f64 (*.f64 2 (log.f64 (*.f64 x (log.f64 x)))) 1)) (2)) ((log1p.f64 (expm1.f64 (pow.f64 (*.f64 x (log.f64 x)) 2))) (2)))

(((-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 x (log.f64 x)) 3))) 1) (2)) ((pow.f64 (*.f64 x (log.f64 x)) 3) (2)) ((pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) 1) (2)) ((pow.f64 (sqrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3)) 2) (2)) ((pow.f64 (pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) 3) 1/3) (2)) ((sqrt.f64 (pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) 3)) (2)) ((log.f64 (exp.f64 (pow.f64 (*.f64 x (log.f64 x)) 3))) (2)) ((log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 x (log.f64 x)) 3)))) (2)) ((cbrt.f64 (pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) 3)) (2)) ((expm1.f64 (log1p.f64 (pow.f64 (*.f64 x (log.f64 x)) 3))) (2)) ((exp.f64 (log.f64 (pow.f64 (*.f64 x (log.f64 x)) 3))) (2)) ((exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (log.f64 x)) 3)) 1)) (2)) ((log1p.f64 (expm1.f64 (pow.f64 (*.f64 x (log.f64 x)) 3))) (2)))

simplify96.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

982×	`distribute-lft-in`
956×	`distribute-rgt-in`
948×	`*-commutative`
858×	`+-commutative`
564×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	177	2249
1	403	2219
2	1981	2199
3	6747	2199

Stop Event

1×	node limit

Counts

111 → 106

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) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (log.f64 x) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (log.f64 x) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (log.f64 x) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 x 2))
(.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2) (pow.f64 x 2))
(.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2) (pow.f64 x 2))
(.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2) (pow.f64 x 2))
(.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2) (pow.f64 x 2))
(*.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 (exp.f64 (log1p.f64 (*.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 (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 (cbrt.f64 (.f64 x (log.f64 x))) 2) (cbrt.f64 (*.f64 x (log.f64 x))))
(.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 (.f64 x (pow.f64 (*.f64 x (log.f64 x)) 2))))
(.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (.f64 (cbrt.f64 (log.f64 x)) x))
(.f64 (cbrt.f64 (.f64 x (pow.f64 (*.f64 x (log.f64 x)) 2))) (cbrt.f64 (log.f64 x)))
(.f64 (cbrt.f64 (.f64 x (log.f64 x))) (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (log.f64 x)))
(.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (.f64 x (log.f64 x)) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2)))
(.f64 (.f64 x (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)))
(.f64 (.f64 x (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x)))
(.f64 (.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 (pow.f64 1 1/3) (.f64 x (log.f64 x)))
(.f64 (pow.f64 (sqrt.f64 (pow.f64 (.f64 x (log.f64 x)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3)) 1/3))
(pow.f64 (*.f64 x (log.f64 x)) 1)
(pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 2)
(pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3)
(sqrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 2))
(fabs.f64 (*.f64 x (log.f64 x)))
(log.f64 (pow.f64 x x))
(log.f64 (+.f64 1 (-.f64 (pow.f64 x x) 1)))
(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))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 x (log.f64 x)) 3)) 1/3))
(log1p.f64 (-.f64 (pow.f64 x x) 1))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 x (log.f64 x)) 2))) 1)
(.f64 x (.f64 (log.f64 x) (*.f64 x (log.f64 x))))
(.f64 (log.f64 x) (.f64 x (*.f64 x (log.f64 x))))
(.f64 (.f64 x (log.f64 x)) (*.f64 x (log.f64 x)))
(.f64 (pow.f64 (.f64 x (log.f64 x)) 2) 1)
(.f64 1 (pow.f64 (.f64 x (log.f64 x)) 2))
(.f64 (sqrt.f64 (.f64 x (log.f64 x))) (.f64 (sqrt.f64 (.f64 x (log.f64 x))) (*.f64 x (log.f64 x))))
(.f64 (sqrt.f64 (pow.f64 (.f64 x (log.f64 x)) 3)) (sqrt.f64 (*.f64 x (log.f64 x))))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (log.f64 x))) 2) (cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 4)))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (log.f64 x))) 2) (.f64 (cbrt.f64 (.f64 x (log.f64 x))) (*.f64 x (log.f64 x))))
(.f64 (cbrt.f64 (pow.f64 (.f64 x (log.f64 x)) 4)) (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2))
(.f64 (cbrt.f64 (.f64 x (pow.f64 (.f64 x (log.f64 x)) 2))) (.f64 (cbrt.f64 (log.f64 x)) (*.f64 x (log.f64 x))))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (pow.f64 (*.f64 x (log.f64 x)) 2))) 2) (pow.f64 (cbrt.f64 (log.f64 x)) 2))
(.f64 (pow.f64 (log.f64 x) 2) (.f64 x x))
(.f64 (.f64 x x) (pow.f64 (log.f64 x) 2))
(.f64 (.f64 (*.f64 x (log.f64 x)) x) (log.f64 x))
(.f64 (.f64 (*.f64 x (log.f64 x)) (log.f64 x)) x)
(.f64 (.f64 (.f64 x (log.f64 x)) (cbrt.f64 (.f64 x (pow.f64 (*.f64 x (log.f64 x)) 2)))) (cbrt.f64 (log.f64 x)))
(.f64 (.f64 (.f64 x (log.f64 x)) (pow.f64 (cbrt.f64 (.f64 x (log.f64 x))) 2)) (cbrt.f64 (*.f64 x (log.f64 x))))
(sqrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 4))
(log.f64 (exp.f64 (pow.f64 (*.f64 x (log.f64 x)) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 x (log.f64 x)) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 x (log.f64 x)) 2)))
(exp.f64 (.f64 2 (log.f64 (.f64 x (log.f64 x)))))
(exp.f64 (.f64 (.f64 2 (log.f64 (*.f64 x (log.f64 x)))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 x (log.f64 x)) 2)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 x (log.f64 x)) 3))) 1)
(pow.f64 (*.f64 x (log.f64 x)) 3)
(pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) 1)
(pow.f64 (sqrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3)) 2)
(pow.f64 (pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) 3) 1/3)
(sqrt.f64 (pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) 3))
(log.f64 (exp.f64 (pow.f64 (*.f64 x (log.f64 x)) 3)))
(log.f64 (+.f64 1 (expm1.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 (log.f64 (pow.f64 (*.f64 x (log.f64 x)) 3)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 x (log.f64 x)) 3)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 x (log.f64 x)) 3)))

Outputs
(*.f64 (log.f64 x) x)
(log.f64 (pow.f64 x x))
(*.f64 x (log.f64 x))
(*.f64 (log.f64 x) x)
(log.f64 (pow.f64 x x))
(*.f64 x (log.f64 x))
(*.f64 (log.f64 x) x)
(log.f64 (pow.f64 x x))
(*.f64 x (log.f64 x))
(*.f64 (log.f64 x) x)
(log.f64 (pow.f64 x x))
(*.f64 x (log.f64 x))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x))
(log.f64 (pow.f64 x x))
(*.f64 x (log.f64 x))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x))
(log.f64 (pow.f64 x x))
(*.f64 x (log.f64 x))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x))
(log.f64 (pow.f64 x x))
(*.f64 x (log.f64 x))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x))
(log.f64 (pow.f64 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 (.f64 (cbrt.f64 -1) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) x))
(.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 (.f64 (cbrt.f64 -1) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) x))
(.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 (.f64 (cbrt.f64 -1) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) x))
(.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 (.f64 (cbrt.f64 -1) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) x))
(.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) 2) (pow.f64 x 2))
(pow.f64 (log.f64 (pow.f64 x x)) 2)
(pow.f64 (*.f64 x (log.f64 x)) 2)
(*.f64 (pow.f64 (log.f64 x) 2) (pow.f64 x 2))
(pow.f64 (log.f64 (pow.f64 x x)) 2)
(pow.f64 (*.f64 x (log.f64 x)) 2)
(*.f64 (pow.f64 (log.f64 x) 2) (pow.f64 x 2))
(pow.f64 (log.f64 (pow.f64 x x)) 2)
(pow.f64 (*.f64 x (log.f64 x)) 2)
(*.f64 (pow.f64 (log.f64 x) 2) (pow.f64 x 2))
(pow.f64 (log.f64 (pow.f64 x x)) 2)
(pow.f64 (*.f64 x (log.f64 x)) 2)
(*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 x 2))
(pow.f64 (log.f64 (pow.f64 x x)) 2)
(pow.f64 (*.f64 x (log.f64 x)) 2)
(*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 x 2))
(pow.f64 (log.f64 (pow.f64 x x)) 2)
(pow.f64 (*.f64 x (log.f64 x)) 2)
(*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 x 2))
(pow.f64 (log.f64 (pow.f64 x x)) 2)
(pow.f64 (*.f64 x (log.f64 x)) 2)
(*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 x 2))
(pow.f64 (log.f64 (pow.f64 x x)) 2)
(pow.f64 (*.f64 x (log.f64 x)) 2)
(.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2) (pow.f64 x 2))
(.f64 (.f64 x x) (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2))
(.f64 (.f64 x x) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2))
(.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2) (pow.f64 x 2))
(.f64 (.f64 x x) (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2))
(.f64 (.f64 x x) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2))
(.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2) (pow.f64 x 2))
(.f64 (.f64 x x) (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2))
(.f64 (.f64 x x) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2))
(.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2) (pow.f64 x 2))
(.f64 (.f64 x x) (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2))
(.f64 (.f64 x x) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2))
(*.f64 (pow.f64 (log.f64 x) 3) (pow.f64 x 3))
(pow.f64 (log.f64 (pow.f64 x x)) 3)
(pow.f64 (*.f64 x (log.f64 x)) 3)
(*.f64 (pow.f64 (log.f64 x) 3) (pow.f64 x 3))
(pow.f64 (log.f64 (pow.f64 x x)) 3)
(pow.f64 (*.f64 x (log.f64 x)) 3)
(*.f64 (pow.f64 (log.f64 x) 3) (pow.f64 x 3))
(pow.f64 (log.f64 (pow.f64 x x)) 3)
(pow.f64 (*.f64 x (log.f64 x)) 3)
(*.f64 (pow.f64 (log.f64 x) 3) (pow.f64 x 3))
(pow.f64 (log.f64 (pow.f64 x 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 (log.f64 (pow.f64 x 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 (log.f64 (pow.f64 x 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 (log.f64 (pow.f64 x 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 (log.f64 (pow.f64 x 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 (exp.f64 (log1p.f64 (*.f64 x (log.f64 x)))) 1)
(log.f64 (pow.f64 x x))
(*.f64 x (log.f64 x))
(*.f64 x (log.f64 x))
(log.f64 (pow.f64 x x))
(*.f64 (log.f64 x) x)
(log.f64 (pow.f64 x x))
(*.f64 x (log.f64 x))
(.f64 (.f64 x (log.f64 x)) 1)
(log.f64 (pow.f64 x x))
(*.f64 x (log.f64 x))
(.f64 1 (.f64 x (log.f64 x)))
(log.f64 (pow.f64 x x))
(*.f64 x (log.f64 x))
(.f64 (sqrt.f64 (log.f64 x)) (.f64 (sqrt.f64 (log.f64 x)) x))
(log.f64 (pow.f64 x x))
(*.f64 x (log.f64 x))
(.f64 (sqrt.f64 (.f64 x (log.f64 x))) (sqrt.f64 (*.f64 x (log.f64 x))))
(log.f64 (pow.f64 x x))
(*.f64 x (log.f64 x))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (log.f64 x)))
(log.f64 (pow.f64 x x))
(*.f64 x (log.f64 x))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (log.f64 x))) 2) (cbrt.f64 (*.f64 x (log.f64 x))))
(log.f64 (pow.f64 x x))
(*.f64 x (log.f64 x))
(.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 (.f64 x (pow.f64 (*.f64 x (log.f64 x)) 2))))
(.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 (.f64 x (pow.f64 (log.f64 (pow.f64 x x)) 2))))
(.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 x 3))))
(.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (.f64 (cbrt.f64 (log.f64 x)) x))
(log.f64 (pow.f64 x x))
(*.f64 x (log.f64 x))
(.f64 (cbrt.f64 (.f64 x (pow.f64 (*.f64 x (log.f64 x)) 2))) (cbrt.f64 (log.f64 x)))
(.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 (.f64 x (pow.f64 (log.f64 (pow.f64 x x)) 2))))
(.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 x 3))))
(.f64 (cbrt.f64 (.f64 x (log.f64 x))) (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2))
(log.f64 (pow.f64 x x))
(*.f64 x (log.f64 x))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (log.f64 x)))
(log.f64 (pow.f64 x x))
(*.f64 x (log.f64 x))
(.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (.f64 x (log.f64 x)) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (log.f64 (pow.f64 x x)) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 x x))) 2)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (log.f64 (pow.f64 x x)) 4))) (fabs.f64 (cbrt.f64 (log.f64 (pow.f64 x x)))))
(.f64 (cbrt.f64 (.f64 x (log.f64 x))) (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 4))))
(.f64 (.f64 x (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)))
(log.f64 (pow.f64 x x))
(*.f64 x (log.f64 x))
(.f64 (.f64 x (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x)))
(log.f64 (pow.f64 x x))
(*.f64 x (log.f64 x))
(.f64 (.f64 (log.f64 x) (sqrt.f64 x)) (sqrt.f64 x))
(log.f64 (pow.f64 x x))
(*.f64 x (log.f64 x))
(.f64 (.f64 (log.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(log.f64 (pow.f64 x x))
(*.f64 x (log.f64 x))
(.f64 (pow.f64 1 1/3) (.f64 x (log.f64 x)))
(log.f64 (pow.f64 x x))
(*.f64 x (log.f64 x))
(.f64 (pow.f64 (sqrt.f64 (pow.f64 (.f64 x (log.f64 x)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3)) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (log.f64 (pow.f64 x x)) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (log.f64 (pow.f64 x x)) 3))))
(.f64 (cbrt.f64 (pow.f64 (.f64 x (log.f64 x)) 3/2)) (cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3/2)))
(pow.f64 (*.f64 x (log.f64 x)) 1)
(log.f64 (pow.f64 x x))
(*.f64 x (log.f64 x))
(pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) 1/2)
(log.f64 (pow.f64 x x))
(*.f64 x (log.f64 x))
(pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) 1/3)
(log.f64 (pow.f64 x x))
(*.f64 x (log.f64 x))
(pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 2)
(log.f64 (pow.f64 x x))
(*.f64 x (log.f64 x))
(pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3)
(log.f64 (pow.f64 x x))
(*.f64 x (log.f64 x))
(sqrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 2))
(log.f64 (pow.f64 x x))
(*.f64 x (log.f64 x))
(fabs.f64 (*.f64 x (log.f64 x)))
(log.f64 (pow.f64 x x))
(*.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)))
(log.f64 (pow.f64 x x))
(*.f64 x (log.f64 x))
(expm1.f64 (log1p.f64 (*.f64 x (log.f64 x))))
(log.f64 (pow.f64 x x))
(*.f64 x (log.f64 x))
(exp.f64 (log.f64 (*.f64 x (log.f64 x))))
(log.f64 (pow.f64 x x))
(*.f64 x (log.f64 x))
(exp.f64 (.f64 (log.f64 (.f64 x (log.f64 x))) 1))
(log.f64 (pow.f64 x x))
(*.f64 x (log.f64 x))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 x (log.f64 x)) 3)) 1/3))
(log.f64 (pow.f64 x x))
(*.f64 x (log.f64 x))
(log1p.f64 (-.f64 (pow.f64 x x) 1))
(log.f64 (pow.f64 x x))
(*.f64 x (log.f64 x))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 x (log.f64 x)) 2))) 1)
(pow.f64 (log.f64 (pow.f64 x x)) 2)
(pow.f64 (*.f64 x (log.f64 x)) 2)
(.f64 x (.f64 (log.f64 x) (*.f64 x (log.f64 x))))
(pow.f64 (log.f64 (pow.f64 x x)) 2)
(pow.f64 (*.f64 x (log.f64 x)) 2)
(.f64 (log.f64 x) (.f64 x (*.f64 x (log.f64 x))))
(pow.f64 (log.f64 (pow.f64 x x)) 2)
(pow.f64 (*.f64 x (log.f64 x)) 2)
(.f64 (.f64 x (log.f64 x)) (*.f64 x (log.f64 x)))
(pow.f64 (log.f64 (pow.f64 x x)) 2)
(pow.f64 (*.f64 x (log.f64 x)) 2)
(.f64 (pow.f64 (.f64 x (log.f64 x)) 2) 1)
(pow.f64 (log.f64 (pow.f64 x x)) 2)
(pow.f64 (*.f64 x (log.f64 x)) 2)
(.f64 1 (pow.f64 (.f64 x (log.f64 x)) 2))
(pow.f64 (log.f64 (pow.f64 x x)) 2)
(pow.f64 (*.f64 x (log.f64 x)) 2)
(.f64 (sqrt.f64 (.f64 x (log.f64 x))) (.f64 (sqrt.f64 (.f64 x (log.f64 x))) (*.f64 x (log.f64 x))))
(pow.f64 (log.f64 (pow.f64 x x)) 2)
(pow.f64 (*.f64 x (log.f64 x)) 2)
(.f64 (sqrt.f64 (pow.f64 (.f64 x (log.f64 x)) 3)) (sqrt.f64 (*.f64 x (log.f64 x))))
(pow.f64 (log.f64 (pow.f64 x x)) 2)
(pow.f64 (*.f64 x (log.f64 x)) 2)
(.f64 (pow.f64 (cbrt.f64 (.f64 x (log.f64 x))) 2) (cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 4)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 x x))) 2) (cbrt.f64 (pow.f64 (log.f64 (pow.f64 x x)) 4)))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (log.f64 x))) 2) (.f64 (cbrt.f64 (.f64 x (log.f64 x))) (*.f64 x (log.f64 x))))
(pow.f64 (log.f64 (pow.f64 x x)) 2)
(pow.f64 (*.f64 x (log.f64 x)) 2)
(.f64 (cbrt.f64 (pow.f64 (.f64 x (log.f64 x)) 4)) (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 x x))) 2) (cbrt.f64 (pow.f64 (log.f64 (pow.f64 x x)) 4)))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (log.f64 x))) 2) (cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 4)))
(.f64 (cbrt.f64 (.f64 x (pow.f64 (.f64 x (log.f64 x)) 2))) (.f64 (cbrt.f64 (log.f64 x)) (*.f64 x (log.f64 x))))
(.f64 (cbrt.f64 (.f64 x (pow.f64 (log.f64 (pow.f64 x x)) 2))) (*.f64 (log.f64 (pow.f64 x x)) (cbrt.f64 (log.f64 x))))
(.f64 (log.f64 x) (.f64 x (.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 (.f64 x (pow.f64 (log.f64 (pow.f64 x x)) 2))))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 x 3))) (*.f64 x (pow.f64 (cbrt.f64 (log.f64 x)) 4)))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (pow.f64 (*.f64 x (log.f64 x)) 2))) 2) (pow.f64 (cbrt.f64 (log.f64 x)) 2))
(.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (pow.f64 (cbrt.f64 (.f64 x (pow.f64 (log.f64 (pow.f64 x x)) 2))) 2))
(.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (pow.f64 (cbrt.f64 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 x 3))) 2))
(.f64 (pow.f64 (log.f64 x) 2) (.f64 x x))
(pow.f64 (log.f64 (pow.f64 x x)) 2)
(pow.f64 (*.f64 x (log.f64 x)) 2)
(.f64 (.f64 x x) (pow.f64 (log.f64 x) 2))
(pow.f64 (log.f64 (pow.f64 x x)) 2)
(pow.f64 (*.f64 x (log.f64 x)) 2)
(.f64 (.f64 (*.f64 x (log.f64 x)) x) (log.f64 x))
(pow.f64 (log.f64 (pow.f64 x x)) 2)
(pow.f64 (*.f64 x (log.f64 x)) 2)
(.f64 (.f64 (*.f64 x (log.f64 x)) (log.f64 x)) x)
(pow.f64 (log.f64 (pow.f64 x x)) 2)
(pow.f64 (*.f64 x (log.f64 x)) 2)
(.f64 (.f64 (.f64 x (log.f64 x)) (cbrt.f64 (.f64 x (pow.f64 (*.f64 x (log.f64 x)) 2)))) (cbrt.f64 (log.f64 x)))
(.f64 (cbrt.f64 (.f64 x (pow.f64 (log.f64 (pow.f64 x x)) 2))) (*.f64 (log.f64 (pow.f64 x x)) (cbrt.f64 (log.f64 x))))
(.f64 (log.f64 x) (.f64 x (.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 (.f64 x (pow.f64 (log.f64 (pow.f64 x x)) 2))))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 x 3))) (*.f64 x (pow.f64 (cbrt.f64 (log.f64 x)) 4)))
(.f64 (.f64 (.f64 x (log.f64 x)) (pow.f64 (cbrt.f64 (.f64 x (log.f64 x))) 2)) (cbrt.f64 (*.f64 x (log.f64 x))))
(pow.f64 (log.f64 (pow.f64 x x)) 2)
(pow.f64 (*.f64 x (log.f64 x)) 2)
(sqrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 4))
(pow.f64 (log.f64 (pow.f64 x x)) 2)
(pow.f64 (*.f64 x (log.f64 x)) 2)
(log.f64 (exp.f64 (pow.f64 (*.f64 x (log.f64 x)) 2)))
(pow.f64 (log.f64 (pow.f64 x x)) 2)
(pow.f64 (*.f64 x (log.f64 x)) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 x (log.f64 x)) 2))))
(pow.f64 (log.f64 (pow.f64 x x)) 2)
(pow.f64 (*.f64 x (log.f64 x)) 2)
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) 3))
(pow.f64 (log.f64 (pow.f64 x x)) 2)
(pow.f64 (*.f64 x (log.f64 x)) 2)
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 x (log.f64 x)) 2)))
(pow.f64 (log.f64 (pow.f64 x x)) 2)
(pow.f64 (*.f64 x (log.f64 x)) 2)
(exp.f64 (.f64 2 (log.f64 (.f64 x (log.f64 x)))))
(pow.f64 (log.f64 (pow.f64 x x)) 2)
(pow.f64 (*.f64 x (log.f64 x)) 2)
(exp.f64 (.f64 (.f64 2 (log.f64 (*.f64 x (log.f64 x)))) 1))
(pow.f64 (log.f64 (pow.f64 x x)) 2)
(pow.f64 (*.f64 x (log.f64 x)) 2)
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 x (log.f64 x)) 2)))
(pow.f64 (log.f64 (pow.f64 x x)) 2)
(pow.f64 (*.f64 x (log.f64 x)) 2)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 x (log.f64 x)) 3))) 1)
(pow.f64 (log.f64 (pow.f64 x x)) 3)
(pow.f64 (*.f64 x (log.f64 x)) 3)
(pow.f64 (*.f64 x (log.f64 x)) 3)
(pow.f64 (log.f64 (pow.f64 x x)) 3)
(pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) 1)
(pow.f64 (log.f64 (pow.f64 x x)) 3)
(pow.f64 (*.f64 x (log.f64 x)) 3)
(pow.f64 (sqrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3)) 2)
(pow.f64 (log.f64 (pow.f64 x x)) 3)
(pow.f64 (*.f64 x (log.f64 x)) 3)
(pow.f64 (pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) 3) 1/3)
(pow.f64 (log.f64 (pow.f64 x x)) 3)
(pow.f64 (*.f64 x (log.f64 x)) 3)
(sqrt.f64 (pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) 3))
(pow.f64 (log.f64 (pow.f64 x x)) 3)
(pow.f64 (*.f64 x (log.f64 x)) 3)
(log.f64 (exp.f64 (pow.f64 (*.f64 x (log.f64 x)) 3)))
(pow.f64 (log.f64 (pow.f64 x x)) 3)
(pow.f64 (*.f64 x (log.f64 x)) 3)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 x (log.f64 x)) 3))))
(pow.f64 (log.f64 (pow.f64 x 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 (log.f64 (pow.f64 x x)) 3)
(pow.f64 (*.f64 x (log.f64 x)) 3)
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 x (log.f64 x)) 3)))
(pow.f64 (log.f64 (pow.f64 x x)) 3)
(pow.f64 (*.f64 x (log.f64 x)) 3)
(exp.f64 (log.f64 (pow.f64 (*.f64 x (log.f64 x)) 3)))
(pow.f64 (log.f64 (pow.f64 x x)) 3)
(pow.f64 (*.f64 x (log.f64 x)) 3)
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 x (log.f64 x)) 3)) 1))
(pow.f64 (log.f64 (pow.f64 x x)) 3)
(pow.f64 (*.f64 x (log.f64 x)) 3)
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 x (log.f64 x)) 3)))
(pow.f64 (log.f64 (pow.f64 x x)) 3)
(pow.f64 (*.f64 x (log.f64 x)) 3)

eval114.0ms (2.5%)

Compiler: Compiled 5269 to 2229 computations (57.7% saved)

prune104.0ms (2.3%)

Pruning

22 alts after pruning (13 fresh and 9 done)

	Pruned	Kept	Total
New	429	10	439
Fresh	3	3	6
Picked	0	1	1
Done	0	8	8
Total	432	22	454

Accurracy

100.0%

Counts

454 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	54.0%	(pow.f64 (*.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 x)) 2)
▶	97.3%	(pow.f64 (*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 x)) 3)
✓	54.1%	(pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 2)
✓	97.7%	(pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3)
	96.6%	(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) 3) (.f64 (log.f64 x) (cbrt.f64 x)))
▶	98.0%	(.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (.f64 (cbrt.f64 (log.f64 x)) x))
▶	97.7%	(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (log.f64 x) (cbrt.f64 x)))
	75.3%	(.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (.f64 x (cbrt.f64 x)))) (.f64 (log.f64 x) (cbrt.f64 x)))
	97.3%	(.f64 (.f64 (log.f64 x) (pow.f64 (*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 x))) 2)) (cbrt.f64 x))
	97.3%	(.f64 (.f64 (log.f64 x) (pow.f64 (cbrt.f64 x) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 3))
▶	97.7%	(.f64 (.f64 (log.f64 x) (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 x))))
✓	97.7%	(.f64 (.f64 (log.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
✓	99.0%	(.f64 (.f64 (log.f64 x) (sqrt.f64 x)) (sqrt.f64 x))
	54.1%	(.f64 (.f64 x (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)))
	55.3%	(.f64 (sqrt.f64 (.f64 x (pow.f64 (log.f64 x) 2))) (sqrt.f64 x))
	64.9%	(.f64 (cbrt.f64 (pow.f64 (.f64 (log.f64 x) (sqrt.f64 x)) 3)) (sqrt.f64 x))
▶	33.6%	(.f64 (cbrt.f64 (.f64 x (pow.f64 (*.f64 x (log.f64 x)) 2))) (cbrt.f64 (log.f64 x)))
✓	46.3%	(.f64 (cbrt.f64 (.f64 x x)) (*.f64 (log.f64 x) (cbrt.f64 x)))
	46.5%	(.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 (*.f64 x (pow.f64 (log.f64 x) 3))))
✓	99.5%	(*.f64 x (log.f64 x))
✓	33.8%	(cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3))
✓	33.7%	(cbrt.f64 (.f64 (.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) x) (log.f64 x)))

Compiler

Compiled 422 to 277 computations (34.4% saved)

localize11.0ms (0.2%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	99.6%	(*.f64 (cbrt.f64 (log.f64 x)) x)
✓	99.4%	(.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (.f64 (cbrt.f64 (log.f64 x)) x))
✓	99.2%	(pow.f64 (cbrt.f64 (log.f64 x)) 2)
✓	99.2%	(cbrt.f64 (log.f64 x))

Compiler

Compiled 29 to 10 computations (65.5% saved)

series13.0ms (0.3%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
4.0ms	x	@	inf	(*.f64 (cbrt.f64 (log.f64 x)) x)
2.0ms	x	@	0	(cbrt.f64 (log.f64 x))
1.0ms	x	@	0	(*.f64 (cbrt.f64 (log.f64 x)) x)
1.0ms	x	@	-inf	(*.f64 (cbrt.f64 (log.f64 x)) x)
1.0ms	x	@	inf	(cbrt.f64 (log.f64 x))

rewrite128.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1678×	`add-sqr-sqrt`
1658×	`*-un-lft-identity`
1540×	`add-cube-cbrt`
1512×	`add-cbrt-cube`
182×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	50
1	196	50
2	2232	50

Stop Event

1×	node limit

Counts

4 → 67

Calls

Call 1

Inputs
(cbrt.f64 (log.f64 x))
(pow.f64 (cbrt.f64 (log.f64 x)) 2)
(.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (.f64 (cbrt.f64 (log.f64 x)) x))
(*.f64 (cbrt.f64 (log.f64 x)) x)

Outputs
(((-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (log.f64 x)))) 1) (2)) ((.f64 (cbrt.f64 (log.f64 x)) 1) (2)) ((.f64 1 (cbrt.f64 (log.f64 x))) (2)) ((.f64 (pow.f64 (log.f64 x) 1/6) (pow.f64 (log.f64 x) 1/6)) (2)) ((.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 x))) 2) (cbrt.f64 (cbrt.f64 (log.f64 x)))) (2)) ((.f64 (cbrt.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 x))) 2)) (2)) ((.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 x))) 2))) (2)) ((.f64 (pow.f64 1 1/3) (cbrt.f64 (log.f64 x))) (2)) ((.f64 (pow.f64 (sqrt.f64 (log.f64 x)) 1/3) (pow.f64 (sqrt.f64 (log.f64 x)) 1/3)) (2)) ((pow.f64 (log.f64 x) 1/3) (2)) ((pow.f64 (cbrt.f64 (log.f64 x)) 1) (2)) ((pow.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) 1/2) (2)) ((pow.f64 (pow.f64 (log.f64 x) 1/6) 2) (2)) ((pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 x))) 3) (2)) ((sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (2)) ((fabs.f64 (cbrt.f64 (log.f64 x))) (2)) ((log.f64 (exp.f64 (cbrt.f64 (log.f64 x)))) (2)) ((log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (log.f64 x))))) (2)) ((expm1.f64 (log1p.f64 (cbrt.f64 (log.f64 x)))) (2)) ((exp.f64 (log.f64 (cbrt.f64 (log.f64 x)))) (2)) ((exp.f64 (.f64 (log.f64 (log.f64 x)) 1/3)) (2)) ((exp.f64 (.f64 (log.f64 (cbrt.f64 (log.f64 x))) 1)) (2)) ((log1p.f64 (expm1.f64 (cbrt.f64 (log.f64 x)))) (2)))
(((-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2))) 1) (2)) ((.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 (log.f64 x))) (2)) ((.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) 1) (2)) ((.f64 1 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (2)) ((.f64 (pow.f64 (log.f64 x) 1/6) (.f64 (pow.f64 (log.f64 x) 1/6) (cbrt.f64 (log.f64 x)))) (2)) ((.f64 (sqrt.f64 (log.f64 x)) (pow.f64 (log.f64 x) 1/6)) (2)) ((.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 x))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 4))) (2)) ((.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 x))) 2) (.f64 (cbrt.f64 (cbrt.f64 (log.f64 x))) (cbrt.f64 (log.f64 x)))) (2)) ((.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 x))) 2)) (2)) ((.f64 (.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 x))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 x)))) (2)) ((sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 4)) (2)) ((log.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2))) (2)) ((log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2)))) (2)) ((cbrt.f64 (pow.f64 (log.f64 x) 2)) (2)) ((expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2))) (2)) ((exp.f64 (.f64 2 (log.f64 (cbrt.f64 (log.f64 x))))) (2)) ((exp.f64 (.f64 (*.f64 2 (log.f64 (cbrt.f64 (log.f64 x)))) 1)) (2)) ((log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2))) (2)))
(((-.f64 (exp.f64 (log1p.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))) 2) (2)) ((pow.f64 (cbrt.f64 (.f64 x (log.f64 x))) 3) (2)) ((pow.f64 (pow.f64 (.f64 x (log.f64 x)) 3) 1/3) (2)) ((sqrt.f64 (pow.f64 (.f64 x (log.f64 x)) 2)) (2)) ((log.f64 (pow.f64 x x)) (2)) ((log.f64 (+.f64 1 (-.f64 (pow.f64 x x) 1))) (2)) ((cbrt.f64 (pow.f64 (.f64 x (log.f64 x)) 3)) (2)) ((expm1.f64 (log1p.f64 (.f64 x (log.f64 x)))) (2)) ((exp.f64 (log.f64 (.f64 x (log.f64 x)))) (2)) ((exp.f64 (.f64 (log.f64 (*.f64 x (log.f64 x))) 1)) (2)) ((log1p.f64 (-.f64 (pow.f64 x x) 1)) (2)))
(((-.f64 (exp.f64 (log1p.f64 (.f64 x (cbrt.f64 (log.f64 x))))) 1) (2)) ((pow.f64 (.f64 x (cbrt.f64 (log.f64 x))) 1) (2)) ((pow.f64 (sqrt.f64 (.f64 x (cbrt.f64 (log.f64 x)))) 2) (2)) ((pow.f64 (cbrt.f64 (.f64 x (cbrt.f64 (log.f64 x)))) 3) (2)) ((pow.f64 (.f64 (log.f64 x) (pow.f64 x 3)) 1/3) (2)) ((sqrt.f64 (pow.f64 (.f64 x (cbrt.f64 (log.f64 x))) 2)) (2)) ((log.f64 (pow.f64 (exp.f64 (cbrt.f64 (log.f64 x))) x)) (2)) ((log.f64 (+.f64 1 (expm1.f64 (.f64 x (cbrt.f64 (log.f64 x)))))) (2)) ((cbrt.f64 (.f64 (log.f64 x) (pow.f64 x 3))) (2)) ((expm1.f64 (log1p.f64 (.f64 x (cbrt.f64 (log.f64 x))))) (2)) ((exp.f64 (log.f64 (.f64 x (cbrt.f64 (log.f64 x))))) (2)) ((exp.f64 (.f64 (log.f64 (.f64 x (cbrt.f64 (log.f64 x)))) 1)) (2)) ((log1p.f64 (expm1.f64 (*.f64 x (cbrt.f64 (log.f64 x))))) (2)))

simplify102.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

1278×	`associate-+r-`
570×	`+-commutative`
538×	`distribute-lft-in`
522×	`distribute-rgt-in`
512×	`sqr-pow`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	169	1683
1	359	1661
2	1251	1657
3	3715	1647
4	7277	1647

Stop Event

1×	node limit

Counts

115 → 91

Calls

Call 1

Inputs
(pow.f64 (log.f64 x) 1/3)
(pow.f64 (log.f64 x) 1/3)
(pow.f64 (log.f64 x) 1/3)
(pow.f64 (log.f64 x) 1/3)
(.f64 (pow.f64 (.f64 1 (log.f64 (/.f64 1 x))) 1/3) (cbrt.f64 -1))
(.f64 (pow.f64 (.f64 1 (log.f64 (/.f64 1 x))) 1/3) (cbrt.f64 -1))
(.f64 (pow.f64 (.f64 1 (log.f64 (/.f64 1 x))) 1/3) (cbrt.f64 -1))
(.f64 (pow.f64 (.f64 1 (log.f64 (/.f64 1 x))) 1/3) (cbrt.f64 -1))
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 1/3)
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 1/3)
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 1/3)
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 1/3)
(pow.f64 (pow.f64 (log.f64 x) 2) 1/3)
(pow.f64 (pow.f64 (log.f64 x) 2) 1/3)
(pow.f64 (pow.f64 (log.f64 x) 2) 1/3)
(pow.f64 (pow.f64 (log.f64 x) 2) 1/3)
(.f64 (pow.f64 (.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2)) 1/3) (pow.f64 (cbrt.f64 -1) 2))
(.f64 (pow.f64 (.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2)) 1/3) (pow.f64 (cbrt.f64 -1) 2))
(.f64 (pow.f64 (.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2)) 1/3) (pow.f64 (cbrt.f64 -1) 2))
(.f64 (pow.f64 (.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2)) 1/3) (pow.f64 (cbrt.f64 -1) 2))
(pow.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2) 1/3)
(pow.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2) 1/3)
(pow.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2) 1/3)
(pow.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2) 1/3)
(*.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 (pow.f64 (.f64 1 (log.f64 x)) 1/3) x)
(.f64 (pow.f64 (.f64 1 (log.f64 x)) 1/3) x)
(.f64 (pow.f64 (.f64 1 (log.f64 x)) 1/3) x)
(.f64 (pow.f64 (.f64 1 (log.f64 x)) 1/3) x)
(.f64 (pow.f64 (.f64 1 (log.f64 (/.f64 1 x))) 1/3) (*.f64 (cbrt.f64 -1) x))
(.f64 (pow.f64 (.f64 1 (log.f64 (/.f64 1 x))) 1/3) (*.f64 (cbrt.f64 -1) x))
(.f64 (pow.f64 (.f64 1 (log.f64 (/.f64 1 x))) 1/3) (*.f64 (cbrt.f64 -1) x))
(.f64 (pow.f64 (.f64 1 (log.f64 (/.f64 1 x))) 1/3) (*.f64 (cbrt.f64 -1) x))
(.f64 (pow.f64 (.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) 1/3) x)
(.f64 (pow.f64 (.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) 1/3) x)
(.f64 (pow.f64 (.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) 1/3) x)
(.f64 (pow.f64 (.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) 1/3) x)
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (log.f64 x)))) 1)
(*.f64 (cbrt.f64 (log.f64 x)) 1)
(*.f64 1 (cbrt.f64 (log.f64 x)))
(*.f64 (pow.f64 (log.f64 x) 1/6) (pow.f64 (log.f64 x) 1/6))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 x))) 2) (cbrt.f64 (cbrt.f64 (log.f64 x))))
(*.f64 (cbrt.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 x))) 2))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 x))) 2)))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (log.f64 x)))
(*.f64 (pow.f64 (sqrt.f64 (log.f64 x)) 1/3) (pow.f64 (sqrt.f64 (log.f64 x)) 1/3))
(pow.f64 (log.f64 x) 1/3)
(pow.f64 (cbrt.f64 (log.f64 x)) 1)
(pow.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) 1/2)
(pow.f64 (pow.f64 (log.f64 x) 1/6) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 x))) 3)
(sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2))
(fabs.f64 (cbrt.f64 (log.f64 x)))
(log.f64 (exp.f64 (cbrt.f64 (log.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (log.f64 x)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (log.f64 x))))
(exp.f64 (log.f64 (cbrt.f64 (log.f64 x))))
(exp.f64 (*.f64 (log.f64 (log.f64 x)) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 x))) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 (log.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2))) 1)
(*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 (log.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) 1)
(*.f64 1 (pow.f64 (cbrt.f64 (log.f64 x)) 2))
(.f64 (pow.f64 (log.f64 x) 1/6) (.f64 (pow.f64 (log.f64 x) 1/6) (cbrt.f64 (log.f64 x))))
(*.f64 (sqrt.f64 (log.f64 x)) (pow.f64 (log.f64 x) 1/6))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 x))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 4)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 x))) 2) (.f64 (cbrt.f64 (cbrt.f64 (log.f64 x))) (cbrt.f64 (log.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 x))) 2))
(.f64 (.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 x))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 x))))
(sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 4))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2))))
(cbrt.f64 (pow.f64 (log.f64 x) 2))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2)))
(exp.f64 (*.f64 2 (log.f64 (cbrt.f64 (log.f64 x)))))
(exp.f64 (.f64 (.f64 2 (log.f64 (cbrt.f64 (log.f64 x)))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2)))
(-.f64 (exp.f64 (log1p.f64 (*.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)) 3) 1/3)
(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))
(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))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (cbrt.f64 (log.f64 x))))) 1)
(pow.f64 (*.f64 x (cbrt.f64 (log.f64 x))) 1)
(pow.f64 (sqrt.f64 (*.f64 x (cbrt.f64 (log.f64 x)))) 2)
(pow.f64 (cbrt.f64 (*.f64 x (cbrt.f64 (log.f64 x)))) 3)
(pow.f64 (*.f64 (log.f64 x) (pow.f64 x 3)) 1/3)
(sqrt.f64 (pow.f64 (*.f64 x (cbrt.f64 (log.f64 x))) 2))
(log.f64 (pow.f64 (exp.f64 (cbrt.f64 (log.f64 x))) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (cbrt.f64 (log.f64 x))))))
(cbrt.f64 (*.f64 (log.f64 x) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x (cbrt.f64 (log.f64 x)))))
(exp.f64 (log.f64 (*.f64 x (cbrt.f64 (log.f64 x)))))
(exp.f64 (.f64 (log.f64 (.f64 x (cbrt.f64 (log.f64 x)))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (cbrt.f64 (log.f64 x)))))

Outputs
(pow.f64 (log.f64 x) 1/3)
(cbrt.f64 (log.f64 x))
(pow.f64 (log.f64 x) 1/3)
(cbrt.f64 (log.f64 x))
(pow.f64 (log.f64 x) 1/3)
(cbrt.f64 (log.f64 x))
(pow.f64 (log.f64 x) 1/3)
(cbrt.f64 (log.f64 x))
(.f64 (pow.f64 (.f64 1 (log.f64 (/.f64 1 x))) 1/3) (cbrt.f64 -1))
(*.f64 (cbrt.f64 (neg.f64 (log.f64 x))) (cbrt.f64 -1))
(.f64 (pow.f64 (.f64 1 (log.f64 (/.f64 1 x))) 1/3) (cbrt.f64 -1))
(*.f64 (cbrt.f64 (neg.f64 (log.f64 x))) (cbrt.f64 -1))
(.f64 (pow.f64 (.f64 1 (log.f64 (/.f64 1 x))) 1/3) (cbrt.f64 -1))
(*.f64 (cbrt.f64 (neg.f64 (log.f64 x))) (cbrt.f64 -1))
(.f64 (pow.f64 (.f64 1 (log.f64 (/.f64 1 x))) 1/3) (cbrt.f64 -1))
(*.f64 (cbrt.f64 (neg.f64 (log.f64 x))) (cbrt.f64 -1))
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 1/3)
(cbrt.f64 (log.f64 x))
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 1/3)
(cbrt.f64 (log.f64 x))
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 1/3)
(cbrt.f64 (log.f64 x))
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 1/3)
(cbrt.f64 (log.f64 x))
(pow.f64 (pow.f64 (log.f64 x) 2) 1/3)
(cbrt.f64 (pow.f64 (log.f64 x) 2))
(pow.f64 (pow.f64 (log.f64 x) 2) 1/3)
(cbrt.f64 (pow.f64 (log.f64 x) 2))
(pow.f64 (pow.f64 (log.f64 x) 2) 1/3)
(cbrt.f64 (pow.f64 (log.f64 x) 2))
(pow.f64 (pow.f64 (log.f64 x) 2) 1/3)
(cbrt.f64 (pow.f64 (log.f64 x) 2))
(.f64 (pow.f64 (.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2)) 1/3) (pow.f64 (cbrt.f64 -1) 2))
(*.f64 (cbrt.f64 (pow.f64 (neg.f64 (log.f64 x)) 2)) (pow.f64 (cbrt.f64 -1) 2))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 x) 2)) (pow.f64 (cbrt.f64 -1) 2))
(.f64 (pow.f64 (.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2)) 1/3) (pow.f64 (cbrt.f64 -1) 2))
(*.f64 (cbrt.f64 (pow.f64 (neg.f64 (log.f64 x)) 2)) (pow.f64 (cbrt.f64 -1) 2))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 x) 2)) (pow.f64 (cbrt.f64 -1) 2))
(.f64 (pow.f64 (.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2)) 1/3) (pow.f64 (cbrt.f64 -1) 2))
(*.f64 (cbrt.f64 (pow.f64 (neg.f64 (log.f64 x)) 2)) (pow.f64 (cbrt.f64 -1) 2))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 x) 2)) (pow.f64 (cbrt.f64 -1) 2))
(.f64 (pow.f64 (.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2)) 1/3) (pow.f64 (cbrt.f64 -1) 2))
(*.f64 (cbrt.f64 (pow.f64 (neg.f64 (log.f64 x)) 2)) (pow.f64 (cbrt.f64 -1) 2))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 x) 2)) (pow.f64 (cbrt.f64 -1) 2))
(pow.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2) 1/3)
(cbrt.f64 (pow.f64 (log.f64 x) 2))
(pow.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2) 1/3)
(cbrt.f64 (pow.f64 (log.f64 x) 2))
(pow.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2) 1/3)
(cbrt.f64 (pow.f64 (log.f64 x) 2))
(pow.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2) 1/3)
(cbrt.f64 (pow.f64 (log.f64 x) 2))
(*.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 (pow.f64 (.f64 1 (log.f64 x)) 1/3) x)
(*.f64 x (cbrt.f64 (log.f64 x)))
(.f64 (pow.f64 (.f64 1 (log.f64 x)) 1/3) x)
(*.f64 x (cbrt.f64 (log.f64 x)))
(.f64 (pow.f64 (.f64 1 (log.f64 x)) 1/3) x)
(*.f64 x (cbrt.f64 (log.f64 x)))
(.f64 (pow.f64 (.f64 1 (log.f64 x)) 1/3) x)
(*.f64 x (cbrt.f64 (log.f64 x)))
(.f64 (pow.f64 (.f64 1 (log.f64 (/.f64 1 x))) 1/3) (*.f64 (cbrt.f64 -1) x))
(.f64 (cbrt.f64 (neg.f64 (log.f64 x))) (.f64 x (cbrt.f64 -1)))
(.f64 (pow.f64 (.f64 1 (log.f64 (/.f64 1 x))) 1/3) (*.f64 (cbrt.f64 -1) x))
(.f64 (cbrt.f64 (neg.f64 (log.f64 x))) (.f64 x (cbrt.f64 -1)))
(.f64 (pow.f64 (.f64 1 (log.f64 (/.f64 1 x))) 1/3) (*.f64 (cbrt.f64 -1) x))
(.f64 (cbrt.f64 (neg.f64 (log.f64 x))) (.f64 x (cbrt.f64 -1)))
(.f64 (pow.f64 (.f64 1 (log.f64 (/.f64 1 x))) 1/3) (*.f64 (cbrt.f64 -1) x))
(.f64 (cbrt.f64 (neg.f64 (log.f64 x))) (.f64 x (cbrt.f64 -1)))
(.f64 (pow.f64 (.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) 1/3) x)
(*.f64 x (cbrt.f64 (log.f64 x)))
(.f64 (pow.f64 (.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) 1/3) x)
(*.f64 x (cbrt.f64 (log.f64 x)))
(.f64 (pow.f64 (.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) 1/3) x)
(*.f64 x (cbrt.f64 (log.f64 x)))
(.f64 (pow.f64 (.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) 1/3) x)
(*.f64 x (cbrt.f64 (log.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (log.f64 x)))) 1)
(cbrt.f64 (log.f64 x))
(*.f64 (cbrt.f64 (log.f64 x)) 1)
(cbrt.f64 (log.f64 x))
(*.f64 1 (cbrt.f64 (log.f64 x)))
(cbrt.f64 (log.f64 x))
(*.f64 (pow.f64 (log.f64 x) 1/6) (pow.f64 (log.f64 x) 1/6))
(cbrt.f64 (log.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 x))) 2) (cbrt.f64 (cbrt.f64 (log.f64 x))))
(cbrt.f64 (log.f64 x))
(*.f64 (cbrt.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 x))) 2))
(cbrt.f64 (log.f64 x))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 x))) 2)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 4))) (fabs.f64 (cbrt.f64 (cbrt.f64 (log.f64 x)))))
(*.f64 (cbrt.f64 (cbrt.f64 (log.f64 x))) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 4))))
(*.f64 (cbrt.f64 (cbrt.f64 (log.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 x))) 4)))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (log.f64 x)))
(cbrt.f64 (log.f64 x))
(*.f64 (pow.f64 (sqrt.f64 (log.f64 x)) 1/3) (pow.f64 (sqrt.f64 (log.f64 x)) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (log.f64 x))) (cbrt.f64 (sqrt.f64 (log.f64 x))))
(pow.f64 (pow.f64 (sqrt.f64 (log.f64 x)) 1/6) 4)
(pow.f64 (log.f64 x) 1/3)
(cbrt.f64 (log.f64 x))
(pow.f64 (cbrt.f64 (log.f64 x)) 1)
(cbrt.f64 (log.f64 x))
(pow.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) 1/2)
(cbrt.f64 (log.f64 x))
(pow.f64 (pow.f64 (log.f64 x) 1/6) 2)
(cbrt.f64 (log.f64 x))
(pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 x))) 3)
(cbrt.f64 (log.f64 x))
(sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2))
(cbrt.f64 (log.f64 x))
(fabs.f64 (cbrt.f64 (log.f64 x)))
(cbrt.f64 (log.f64 x))
(log.f64 (exp.f64 (cbrt.f64 (log.f64 x))))
(cbrt.f64 (log.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (log.f64 x)))))
(cbrt.f64 (log.f64 x))
(expm1.f64 (log1p.f64 (cbrt.f64 (log.f64 x))))
(cbrt.f64 (log.f64 x))
(exp.f64 (log.f64 (cbrt.f64 (log.f64 x))))
(cbrt.f64 (log.f64 x))
(exp.f64 (*.f64 (log.f64 (log.f64 x)) 1/3))
(cbrt.f64 (log.f64 x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 x))) 1))
(cbrt.f64 (log.f64 x))
(log1p.f64 (expm1.f64 (cbrt.f64 (log.f64 x))))
(cbrt.f64 (log.f64 x))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2))) 1)
(pow.f64 (cbrt.f64 (log.f64 x)) 2)
(*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 (log.f64 x)))
(pow.f64 (cbrt.f64 (log.f64 x)) 2)
(*.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) 1)
(pow.f64 (cbrt.f64 (log.f64 x)) 2)
(*.f64 1 (pow.f64 (cbrt.f64 (log.f64 x)) 2))
(pow.f64 (cbrt.f64 (log.f64 x)) 2)
(.f64 (pow.f64 (log.f64 x) 1/6) (.f64 (pow.f64 (log.f64 x) 1/6) (cbrt.f64 (log.f64 x))))
(pow.f64 (cbrt.f64 (log.f64 x)) 2)
(*.f64 (sqrt.f64 (log.f64 x)) (pow.f64 (log.f64 x) 1/6))
(pow.f64 (cbrt.f64 (log.f64 x)) 2)
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 x))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 4)))
(pow.f64 (cbrt.f64 (log.f64 x)) 2)
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 x))) 2) (.f64 (cbrt.f64 (cbrt.f64 (log.f64 x))) (cbrt.f64 (log.f64 x))))
(pow.f64 (cbrt.f64 (log.f64 x)) 2)
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 x))) 2))
(pow.f64 (cbrt.f64 (log.f64 x)) 2)
(.f64 (.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 x))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 x))))
(pow.f64 (cbrt.f64 (log.f64 x)) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 4))
(pow.f64 (cbrt.f64 (log.f64 x)) 2)
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2)))
(pow.f64 (cbrt.f64 (log.f64 x)) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2))))
(pow.f64 (cbrt.f64 (log.f64 x)) 2)
(cbrt.f64 (pow.f64 (log.f64 x) 2))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2)))
(pow.f64 (cbrt.f64 (log.f64 x)) 2)
(exp.f64 (*.f64 2 (log.f64 (cbrt.f64 (log.f64 x)))))
(pow.f64 (cbrt.f64 (log.f64 x)) 2)
(exp.f64 (.f64 (.f64 2 (log.f64 (cbrt.f64 (log.f64 x)))) 1))
(pow.f64 (cbrt.f64 (log.f64 x)) 2)
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2)))
(pow.f64 (cbrt.f64 (log.f64 x)) 2)
(-.f64 (exp.f64 (log1p.f64 (*.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 (sqrt.f64 (*.f64 x (log.f64 x))) 2)
(*.f64 x (log.f64 x))
(pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3)
(*.f64 x (log.f64 x))
(pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) 1/3)
(*.f64 x (log.f64 x))
(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))
(log.f64 (+.f64 1 (-.f64 (pow.f64 x x) 1)))
(*.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))
(exp.f64 (.f64 (log.f64 (.f64 x (log.f64 x))) 1))
(*.f64 x (log.f64 x))
(log1p.f64 (-.f64 (pow.f64 x x) 1))
(*.f64 x (log.f64 x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (cbrt.f64 (log.f64 x))))) 1)
(*.f64 x (cbrt.f64 (log.f64 x)))
(pow.f64 (*.f64 x (cbrt.f64 (log.f64 x))) 1)
(*.f64 x (cbrt.f64 (log.f64 x)))
(pow.f64 (sqrt.f64 (*.f64 x (cbrt.f64 (log.f64 x)))) 2)
(*.f64 x (cbrt.f64 (log.f64 x)))
(pow.f64 (cbrt.f64 (*.f64 x (cbrt.f64 (log.f64 x)))) 3)
(*.f64 x (cbrt.f64 (log.f64 x)))
(pow.f64 (*.f64 (log.f64 x) (pow.f64 x 3)) 1/3)
(cbrt.f64 (*.f64 (log.f64 x) (pow.f64 x 3)))
(sqrt.f64 (pow.f64 (*.f64 x (cbrt.f64 (log.f64 x))) 2))
(*.f64 x (cbrt.f64 (log.f64 x)))
(log.f64 (pow.f64 (exp.f64 (cbrt.f64 (log.f64 x))) x))
(*.f64 x (cbrt.f64 (log.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (cbrt.f64 (log.f64 x))))))
(*.f64 x (cbrt.f64 (log.f64 x)))
(cbrt.f64 (*.f64 (log.f64 x) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x (cbrt.f64 (log.f64 x)))))
(*.f64 x (cbrt.f64 (log.f64 x)))
(exp.f64 (log.f64 (*.f64 x (cbrt.f64 (log.f64 x)))))
(*.f64 x (cbrt.f64 (log.f64 x)))
(exp.f64 (.f64 (log.f64 (.f64 x (cbrt.f64 (log.f64 x)))) 1))
(*.f64 x (cbrt.f64 (log.f64 x)))
(log1p.f64 (expm1.f64 (*.f64 x (cbrt.f64 (log.f64 x)))))
(*.f64 x (cbrt.f64 (log.f64 x)))

localize52.0ms (1.2%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	99.4%	(*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 x))
	99.2%	(cbrt.f64 (log.f64 x))
	99.0%	(cbrt.f64 x)
✓	98.8%	(pow.f64 (*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 x)) 3)

Compiler

Compiled 24 to 8 computations (66.7% saved)

series1.0ms (0%)

Counts

2 → 0

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	(pow.f64 (*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 x)) 3)
0.0ms	x	@	inf	(pow.f64 (*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 x)) 3)
0.0ms	x	@	0	(pow.f64 (*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 x)) 3)
0.0ms	x	@	-inf	(*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 x))
0.0ms	x	@	0	(*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 x))

rewrite92.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

1692×	`add-sqr-sqrt`
1662×	`*-un-lft-identity`
1566×	`add-cube-cbrt`
1546×	`add-cbrt-cube`
178×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	36
1	200	26
2	2266	26

Stop Event

1×	node limit

Counts

2 → 44

Calls

Call 1

Inputs
(pow.f64 (*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 x)) 3)
(*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 x))

Outputs

(((-.f64 (exp.f64 (log1p.f64 (*.f64 x (log.f64 x)))) 1) (2)) ((*.f64 x (log.f64 x)) (2)) ((*.f64 (log.f64 x) x) (2)) ((*.f64 (cbrt.f64 (log.f64 x)) (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2))) (2)) ((*.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2))) (2)) ((*.f64 (cbrt.f64 (*.f64 x (log.f64 x))) (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2)) (2)) ((*.f64 (*.f64 x (log.f64 x)) 1) (2)) ((*.f64 1 (*.f64 x (log.f64 x))) (2)) ((*.f64 (sqrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2))) (2)) ((*.f64 (sqrt.f64 (log.f64 x)) (*.f64 (sqrt.f64 (log.f64 x)) x)) (2)) ((*.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (sqrt.f64 (*.f64 x (log.f64 x)))) (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))) (2)) ((*.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (*.f64 (cbrt.f64 (log.f64 x)) x)) (2)) ((*.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) (cbrt.f64 (*.f64 x (log.f64 x)))) (2)) ((*.f64 (*.f64 (log.f64 x) (sqrt.f64 x)) (sqrt.f64 x)) (2)) ((*.f64 (*.f64 (log.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) (2)) ((*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) (cbrt.f64 (log.f64 x))) (cbrt.f64 x)) (2)) ((*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) (cbrt.f64 x)) (cbrt.f64 (log.f64 x))) (2)) ((*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) 1) (cbrt.f64 (*.f64 x (log.f64 x)))) (2)) ((*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) (sqrt.f64 (cbrt.f64 (*.f64 x (log.f64 x))))) (sqrt.f64 (cbrt.f64 (*.f64 x (log.f64 x))))) (2)) ((*.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))))) (2)) ((*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) 3)) (2)) ((*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) 2) 3) (cbrt.f64 (*.f64 x (log.f64 x)))) (2)) ((sqrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 2)) (2)) ((log.f64 (pow.f64 x x)) (2)) ((log.f64 (+.f64 1 (-.f64 (pow.f64 x x) 1))) (2)) ((cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3)) (2)) ((expm1.f64 (log1p.f64 (*.f64 x (log.f64 x)))) (2)) ((exp.f64 (log.f64 (*.f64 x (log.f64 x)))) (2)) ((exp.f64 (*.f64 (log.f64 (*.f64 x (log.f64 x))) 1)) (2)) ((log1p.f64 (-.f64 (pow.f64 x x) 1)) (2)))

(((-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 x (log.f64 x))))) 1) (2)) ((pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 1) (2)) ((pow.f64 (*.f64 x (log.f64 x)) 1/3) (2)) ((pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) 2) (2)) ((pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) 3) (2)) ((sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2)) (2)) ((log.f64 (exp.f64 (cbrt.f64 (*.f64 x (log.f64 x))))) (2)) ((log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 x (log.f64 x)))))) (2)) ((cbrt.f64 (*.f64 x (log.f64 x))) (2)) ((expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 x (log.f64 x))))) (2)) ((exp.f64 (log.f64 (cbrt.f64 (*.f64 x (log.f64 x))))) (2)) ((exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) 1)) (2)) ((log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 x (log.f64 x))))) (2)))

simplify64.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

878×	`associate-+r+`
850×	`unswap-sqr`
832×	`associate-+l+`
714×	`fma-def`
658×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	95	672
1	212	672
2	751	672
3	2933	672
4	7203	672

Stop Event

1×	node limit

Counts

44 → 48

Calls

Call 1

Inputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (log.f64 x)))) 1)
(*.f64 x (log.f64 x))
(*.f64 (log.f64 x) x)
(.f64 (cbrt.f64 (log.f64 x)) (.f64 (cbrt.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 (cbrt.f64 (.f64 x (log.f64 x))) (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2))
(.f64 (.f64 x (log.f64 x)) 1)
(.f64 1 (.f64 x (log.f64 x)))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 x (log.f64 x)))) (.f64 (sqrt.f64 (cbrt.f64 (.f64 x (log.f64 x)))) (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2)))
(.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 (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 (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 (.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 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) (cbrt.f64 (log.f64 x))) (cbrt.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) 1) (cbrt.f64 (.f64 x (log.f64 x))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 x (log.f64 x))) 2) (sqrt.f64 (cbrt.f64 (.f64 x (log.f64 x))))) (sqrt.f64 (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 (pow.f64 (sqrt.f64 (cbrt.f64 (.f64 x (log.f64 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) 3))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (log.f64 x)))) 2) 3) (cbrt.f64 (*.f64 x (log.f64 x))))
(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))
(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))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 x (log.f64 x))))) 1)
(pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 1)
(pow.f64 (*.f64 x (log.f64 x)) 1/3)
(pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) 3)
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 x (log.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 x (log.f64 x))))))
(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)))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (log.f64 x)))) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 x (log.f64 x)))))

Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (log.f64 x)))) 1)
(*.f64 x (log.f64 x))
(log.f64 (pow.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 (cbrt.f64 (log.f64 x)) (.f64 (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 x) (cbrt.f64 (log.f64 x))))
(.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 (log.f64 (pow.f64 x x))) 2) (.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 x)))
(.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 (.f64 x (log.f64 x))) 2) (*.f64 (cbrt.f64 x) (cbrt.f64 (log.f64 x))))
(.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 (log.f64 (pow.f64 x x))) 2) (.f64 (cbrt.f64 (log.f64 x)) (cbrt.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))
(log.f64 (pow.f64 x x))
(.f64 (.f64 x (log.f64 x)) 1)
(*.f64 x (log.f64 x))
(log.f64 (pow.f64 x x))
(.f64 1 (.f64 x (log.f64 x)))
(*.f64 x (log.f64 x))
(log.f64 (pow.f64 x x))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 x (log.f64 x)))) (.f64 (sqrt.f64 (cbrt.f64 (.f64 x (log.f64 x)))) (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2)))
(*.f64 x (log.f64 x))
(log.f64 (pow.f64 x x))
(.f64 (sqrt.f64 (log.f64 x)) (.f64 (sqrt.f64 (log.f64 x)) x))
(*.f64 x (log.f64 x))
(log.f64 (pow.f64 x x))
(.f64 (sqrt.f64 (.f64 x (log.f64 x))) (sqrt.f64 (*.f64 x (log.f64 x))))
(*.f64 x (log.f64 x))
(log.f64 (pow.f64 x 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 x (log.f64 x))
(log.f64 (pow.f64 x x))
(.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (.f64 (cbrt.f64 (log.f64 x)) x))
(*.f64 x (log.f64 x))
(log.f64 (pow.f64 x x))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (log.f64 x))) 2) (cbrt.f64 (*.f64 x (log.f64 x))))
(*.f64 x (log.f64 x))
(log.f64 (pow.f64 x x))
(.f64 (.f64 (log.f64 x) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 x (log.f64 x))
(log.f64 (pow.f64 x x))
(.f64 (.f64 (log.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 x (log.f64 x))
(log.f64 (pow.f64 x x))
(.f64 (.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) (cbrt.f64 (log.f64 x))) (cbrt.f64 x))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (log.f64 x))) 2) (*.f64 (cbrt.f64 x) (cbrt.f64 (log.f64 x))))
(.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 (log.f64 (pow.f64 x x))) 2) (.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 x)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) (cbrt.f64 x)) (cbrt.f64 (log.f64 x)))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (log.f64 x))) 2) (*.f64 (cbrt.f64 x) (cbrt.f64 (log.f64 x))))
(.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 (log.f64 (pow.f64 x x))) 2) (.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 x)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 x (log.f64 x))) 2) 1) (cbrt.f64 (.f64 x (log.f64 x))))
(*.f64 x (log.f64 x))
(log.f64 (pow.f64 x x))
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 x (log.f64 x))) 2) (sqrt.f64 (cbrt.f64 (.f64 x (log.f64 x))))) (sqrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))))
(*.f64 x (log.f64 x))
(log.f64 (pow.f64 x 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 x (log.f64 x))
(log.f64 (pow.f64 x x))
(.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (.f64 x (log.f64 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) 3))
(*.f64 x (log.f64 x))
(log.f64 (pow.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 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 (pow.f64 x x))
(*.f64 x (log.f64 x))
(log.f64 (+.f64 1 (-.f64 (pow.f64 x x) 1)))
(*.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))
(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))
(exp.f64 (.f64 (log.f64 (.f64 x (log.f64 x))) 1))
(*.f64 x (log.f64 x))
(log.f64 (pow.f64 x x))
(log1p.f64 (-.f64 (pow.f64 x x) 1))
(*.f64 x (log.f64 x))
(log.f64 (pow.f64 x x))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 x (log.f64 x))))) 1)
(cbrt.f64 (*.f64 x (log.f64 x)))
(cbrt.f64 (log.f64 (pow.f64 x x)))
(pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 1)
(cbrt.f64 (*.f64 x (log.f64 x)))
(cbrt.f64 (log.f64 (pow.f64 x x)))
(pow.f64 (*.f64 x (log.f64 x)) 1/3)
(cbrt.f64 (*.f64 x (log.f64 x)))
(cbrt.f64 (log.f64 (pow.f64 x x)))
(pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) 2)
(cbrt.f64 (*.f64 x (log.f64 x)))
(cbrt.f64 (log.f64 (pow.f64 x x)))
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) 3)
(cbrt.f64 (*.f64 x (log.f64 x)))
(cbrt.f64 (log.f64 (pow.f64 x x)))
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2))
(cbrt.f64 (*.f64 x (log.f64 x)))
(cbrt.f64 (log.f64 (pow.f64 x x)))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 x (log.f64 x)))))
(cbrt.f64 (*.f64 x (log.f64 x)))
(cbrt.f64 (log.f64 (pow.f64 x x)))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 x (log.f64 x))))))
(cbrt.f64 (*.f64 x (log.f64 x)))
(cbrt.f64 (log.f64 (pow.f64 x x)))
(cbrt.f64 (*.f64 x (log.f64 x)))
(cbrt.f64 (log.f64 (pow.f64 x x)))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 x (log.f64 x)))))
(cbrt.f64 (*.f64 x (log.f64 x)))
(cbrt.f64 (log.f64 (pow.f64 x x)))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 x (log.f64 x)))))
(cbrt.f64 (*.f64 x (log.f64 x)))
(cbrt.f64 (log.f64 (pow.f64 x x)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (log.f64 x)))) 1))
(cbrt.f64 (*.f64 x (log.f64 x)))
(cbrt.f64 (log.f64 (pow.f64 x x)))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 x (log.f64 x)))))
(cbrt.f64 (*.f64 x (log.f64 x)))
(cbrt.f64 (log.f64 (pow.f64 x x)))

localize11.0ms (0.2%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
	99.5%	(*.f64 (log.f64 x) (cbrt.f64 x))
✓	99.5%	(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (log.f64 x) (cbrt.f64 x)))
	99.3%	(pow.f64 (cbrt.f64 x) 2)
	99.0%	(cbrt.f64 x)

Compiler

Compiled 26 to 10 computations (61.5% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (log.f64 x) (cbrt.f64 x)))
0.0ms	x	@	0	(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (log.f64 x) (cbrt.f64 x)))
0.0ms	x	@	inf	(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (log.f64 x) (cbrt.f64 x)))

rewrite103.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1700×	`add-sqr-sqrt`
1680×	`*-un-lft-identity`
1560×	`add-cube-cbrt`
1532×	`add-cbrt-cube`
184×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	31
1	196	11
2	2263	11

Stop Event

1×	node limit

Counts

1 → 13

Calls

Call 1

Inputs
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (log.f64 x) (cbrt.f64 x)))

Outputs

(((-.f64 (exp.f64 (log1p.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))) 2) (2)) ((pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3) (2)) ((pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) 1/3) (2)) ((sqrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 2)) (2)) ((log.f64 (exp.f64 (*.f64 x (log.f64 x)))) (2)) ((log.f64 (+.f64 1 (expm1.f64 (*.f64 x (log.f64 x))))) (2)) ((cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3)) (2)) ((expm1.f64 (log1p.f64 (*.f64 x (log.f64 x)))) (2)) ((exp.f64 (log.f64 (*.f64 x (log.f64 x)))) (2)) ((exp.f64 (*.f64 (log.f64 (*.f64 x (log.f64 x))) 1)) (2)) ((log1p.f64 (expm1.f64 (*.f64 x (log.f64 x)))) (2)))

simplify60.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1256×	`associate-+r-`
974×	`distribute-lft-in`
944×	`associate-+l-`
916×	`distribute-rgt-in`
708×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	275
1	100	275
2	325	275
3	2116	275
4	6578	275

Stop Event

1×	node limit

Counts

25 → 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 (exp.f64 (log1p.f64 (*.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)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 2))
(log.f64 (exp.f64 (*.f64 x (log.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (log.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (log.f64 x))))
(exp.f64 (log.f64 (*.f64 x (log.f64 x))))
(exp.f64 (.f64 (log.f64 (.f64 x (log.f64 x))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (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 (exp.f64 (log1p.f64 (*.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 (sqrt.f64 (*.f64 x (log.f64 x))) 2)
(*.f64 x (log.f64 x))
(pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3)
(*.f64 x (log.f64 x))
(pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) 1/3)
(*.f64 x (log.f64 x))
(sqrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 2))
(*.f64 x (log.f64 x))
(log.f64 (exp.f64 (*.f64 x (log.f64 x))))
(*.f64 x (log.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (log.f64 x)))))
(*.f64 x (log.f64 x))
(cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3))
(*.f64 x (log.f64 x))
(expm1.f64 (log1p.f64 (*.f64 x (log.f64 x))))
(*.f64 x (log.f64 x))
(exp.f64 (log.f64 (*.f64 x (log.f64 x))))
(*.f64 x (log.f64 x))
(exp.f64 (.f64 (log.f64 (.f64 x (log.f64 x))) 1))
(*.f64 x (log.f64 x))
(log1p.f64 (expm1.f64 (*.f64 x (log.f64 x))))
(*.f64 x (log.f64 x))

localize18.0ms (0.4%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
	99.5%	(*.f64 x (log.f64 x))
✓	99.4%	(.f64 (cbrt.f64 (.f64 x (pow.f64 (*.f64 x (log.f64 x)) 2))) (cbrt.f64 (log.f64 x)))
	99.2%	(cbrt.f64 (log.f64 x))
✓	36.1%	(cbrt.f64 (.f64 x (pow.f64 (.f64 x (log.f64 x)) 2)))

Compiler

Compiled 48 to 19 computations (60.4% saved)

series6.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(cbrt.f64 (.f64 x (pow.f64 (.f64 x (log.f64 x)) 2)))
2.0ms	x	@	0	(cbrt.f64 (.f64 x (pow.f64 (.f64 x (log.f64 x)) 2)))
1.0ms	x	@	inf	(cbrt.f64 (.f64 x (pow.f64 (.f64 x (log.f64 x)) 2)))
0.0ms	x	@	-inf	(.f64 (cbrt.f64 (.f64 x (pow.f64 (*.f64 x (log.f64 x)) 2))) (cbrt.f64 (log.f64 x)))
0.0ms	x	@	inf	(.f64 (cbrt.f64 (.f64 x (pow.f64 (*.f64 x (log.f64 x)) 2))) (cbrt.f64 (log.f64 x)))

rewrite94.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1890×	`add-sqr-sqrt`
1870×	`*-un-lft-identity`
1742×	`add-cube-cbrt`
1712×	`add-cbrt-cube`
220×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	64
1	236	38
2	2798	38

Stop Event

1×	node limit

Counts

2 → 38

Calls

Call 1

Inputs
(cbrt.f64 (.f64 x (pow.f64 (.f64 x (log.f64 x)) 2)))
(.f64 (cbrt.f64 (.f64 x (pow.f64 (*.f64 x (log.f64 x)) 2))) (cbrt.f64 (log.f64 x)))

Outputs

(((-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 x (pow.f64 (*.f64 x (log.f64 x)) 2))))) 1) (2)) ((*.f64 (cbrt.f64 (*.f64 x (pow.f64 (*.f64 x (log.f64 x)) 2))) 1) (2)) ((*.f64 1 (cbrt.f64 (*.f64 x (pow.f64 (*.f64 x (log.f64 x)) 2)))) (2)) ((*.f64 (cbrt.f64 (*.f64 (*.f64 x (log.f64 x)) (sqrt.f64 x))) (cbrt.f64 (*.f64 (*.f64 x (log.f64 x)) (sqrt.f64 x)))) (2)) ((*.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) (cbrt.f64 x)) (2)) ((*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (pow.f64 (*.f64 x (log.f64 x)) 2)))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (pow.f64 (*.f64 x (log.f64 x)) 2)))) 2)) (2)) ((*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (pow.f64 (*.f64 x (log.f64 x)) 2)))) 2) (cbrt.f64 (cbrt.f64 (*.f64 x (pow.f64 (*.f64 x (log.f64 x)) 2))))) (2)) ((*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2)) (2)) ((*.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 x (pow.f64 (*.f64 x (log.f64 x)) 2)))) (2)) ((*.f64 (pow.f64 (*.f64 (*.f64 x (log.f64 x)) (sqrt.f64 x)) 1/3) (pow.f64 (*.f64 (*.f64 x (log.f64 x)) (sqrt.f64 x)) 1/3)) (2)) ((*.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (*.f64 x (log.f64 x)) 4) (*.f64 x x))) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 x (pow.f64 (*.f64 x (log.f64 x)) 2))))) (2)) ((pow.f64 (*.f64 x (pow.f64 (*.f64 x (log.f64 x)) 2)) 1/3) (2)) ((pow.f64 (cbrt.f64 (*.f64 x (pow.f64 (*.f64 x (log.f64 x)) 2))) 1) (2)) ((pow.f64 (cbrt.f64 (*.f64 (*.f64 x (log.f64 x)) (sqrt.f64 x))) 2) (2)) ((pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (pow.f64 (*.f64 x (log.f64 x)) 2)))) 3) (2)) ((sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 (*.f64 x (log.f64 x)) 4) (*.f64 x x)))) (2)) ((log.f64 (exp.f64 (cbrt.f64 (*.f64 x (pow.f64 (*.f64 x (log.f64 x)) 2))))) (2)) ((log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 x (pow.f64 (*.f64 x (log.f64 x)) 2)))))) (2)) ((expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 x (pow.f64 (*.f64 x (log.f64 x)) 2))))) (2)) ((exp.f64 (log.f64 (cbrt.f64 (*.f64 x (pow.f64 (*.f64 x (log.f64 x)) 2))))) (2)) ((exp.f64 (*.f64 (log.f64 (*.f64 x (pow.f64 (*.f64 x (log.f64 x)) 2))) 1/3)) (2)) ((exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (pow.f64 (*.f64 x (log.f64 x)) 2)))) 1)) (2)) ((log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 x (pow.f64 (*.f64 x (log.f64 x)) 2))))) (2)))

(((-.f64 (exp.f64 (log1p.f64 (*.f64 x (log.f64 x)))) 1) (2)) ((pow.f64 (*.f64 x (log.f64 x)) 1) (2)) ((pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) 1/2) (2)) ((pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 2) (2)) ((pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3) (2)) ((pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) 1/3) (2)) ((sqrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 2)) (2)) ((fabs.f64 (*.f64 x (log.f64 x))) (2)) ((log.f64 (pow.f64 x x)) (2)) ((log.f64 (+.f64 1 (-.f64 (pow.f64 x x) 1))) (2)) ((cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3)) (2)) ((expm1.f64 (log1p.f64 (*.f64 x (log.f64 x)))) (2)) ((exp.f64 (log.f64 (*.f64 x (log.f64 x)))) (2)) ((exp.f64 (*.f64 (log.f64 (*.f64 x (log.f64 x))) 1)) (2)) ((log1p.f64 (-.f64 (pow.f64 x x) 1)) (2)))

simplify117.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

1434×	`associate-r`
1292×	`associate-l`
976×	`associate-+r+`
836×	`associate-+l+`
504×	`distribute-lft-neg-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	115	1502
1	269	1486
2	794	1486
3	4854	1486

Stop Event

1×	node limit

Counts

62 → 59

Calls

Call 1

Inputs
(.f64 (pow.f64 (.f64 1 (pow.f64 (log.f64 x) 2)) 1/3) x)
(.f64 (pow.f64 (.f64 1 (pow.f64 (log.f64 x) 2)) 1/3) x)
(.f64 (pow.f64 (.f64 1 (pow.f64 (log.f64 x) 2)) 1/3) x)
(.f64 (pow.f64 (.f64 1 (pow.f64 (log.f64 x) 2)) 1/3) x)
(.f64 (pow.f64 (.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2)) 1/3) x)
(.f64 (pow.f64 (.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2)) 1/3) x)
(.f64 (pow.f64 (.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2)) 1/3) x)
(.f64 (pow.f64 (.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2)) 1/3) x)
(.f64 -1 (.f64 (pow.f64 (.f64 1 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2)) 1/3) (*.f64 (cbrt.f64 -1) x)))
(.f64 -1 (.f64 (pow.f64 (.f64 1 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2)) 1/3) (*.f64 (cbrt.f64 -1) x)))
(.f64 -1 (.f64 (pow.f64 (.f64 1 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2)) 1/3) (*.f64 (cbrt.f64 -1) x)))
(.f64 -1 (.f64 (pow.f64 (.f64 1 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2)) 1/3) (*.f64 (cbrt.f64 -1) x)))
(*.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 (exp.f64 (log1p.f64 (cbrt.f64 (.f64 x (pow.f64 (.f64 x (log.f64 x)) 2))))) 1)
(.f64 (cbrt.f64 (.f64 x (pow.f64 (*.f64 x (log.f64 x)) 2))) 1)
(.f64 1 (cbrt.f64 (.f64 x (pow.f64 (*.f64 x (log.f64 x)) 2))))
(.f64 (cbrt.f64 (.f64 (.f64 x (log.f64 x)) (sqrt.f64 x))) (cbrt.f64 (.f64 (*.f64 x (log.f64 x)) (sqrt.f64 x))))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (log.f64 x))) 2) (cbrt.f64 x))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 x (pow.f64 (.f64 x (log.f64 x)) 2)))) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (pow.f64 (*.f64 x (log.f64 x)) 2)))) 2))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (pow.f64 (.f64 x (log.f64 x)) 2)))) 2) (cbrt.f64 (cbrt.f64 (.f64 x (pow.f64 (*.f64 x (log.f64 x)) 2)))))
(.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 (.f64 x (log.f64 x))) 2))
(.f64 (pow.f64 1 1/3) (cbrt.f64 (.f64 x (pow.f64 (*.f64 x (log.f64 x)) 2))))
(.f64 (pow.f64 (.f64 (.f64 x (log.f64 x)) (sqrt.f64 x)) 1/3) (pow.f64 (.f64 (*.f64 x (log.f64 x)) (sqrt.f64 x)) 1/3))
(.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 x (log.f64 x)) 4) (.f64 x x))) 1/3) (cbrt.f64 (cbrt.f64 (.f64 x (pow.f64 (.f64 x (log.f64 x)) 2)))))
(pow.f64 (.f64 x (pow.f64 (.f64 x (log.f64 x)) 2)) 1/3)
(pow.f64 (cbrt.f64 (.f64 x (pow.f64 (.f64 x (log.f64 x)) 2))) 1)
(pow.f64 (cbrt.f64 (.f64 (.f64 x (log.f64 x)) (sqrt.f64 x))) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (pow.f64 (.f64 x (log.f64 x)) 2)))) 3)
(sqrt.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 x (log.f64 x)) 4) (*.f64 x x))))
(log.f64 (exp.f64 (cbrt.f64 (.f64 x (pow.f64 (.f64 x (log.f64 x)) 2)))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (.f64 x (pow.f64 (.f64 x (log.f64 x)) 2))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (.f64 x (pow.f64 (.f64 x (log.f64 x)) 2)))))
(exp.f64 (log.f64 (cbrt.f64 (.f64 x (pow.f64 (.f64 x (log.f64 x)) 2)))))
(exp.f64 (.f64 (log.f64 (.f64 x (pow.f64 (*.f64 x (log.f64 x)) 2))) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (pow.f64 (*.f64 x (log.f64 x)) 2)))) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 (.f64 x (pow.f64 (.f64 x (log.f64 x)) 2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (log.f64 x)))) 1)
(pow.f64 (*.f64 x (log.f64 x)) 1)
(pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) 1/2)
(pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 2)
(pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3)
(pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 2))
(fabs.f64 (*.f64 x (log.f64 x)))
(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))
(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 (pow.f64 (.f64 1 (pow.f64 (log.f64 x) 2)) 1/3) x)
(*.f64 x (cbrt.f64 (pow.f64 (log.f64 x) 2)))
(.f64 (pow.f64 (.f64 1 (pow.f64 (log.f64 x) 2)) 1/3) x)
(*.f64 x (cbrt.f64 (pow.f64 (log.f64 x) 2)))
(.f64 (pow.f64 (.f64 1 (pow.f64 (log.f64 x) 2)) 1/3) x)
(*.f64 x (cbrt.f64 (pow.f64 (log.f64 x) 2)))
(.f64 (pow.f64 (.f64 1 (pow.f64 (log.f64 x) 2)) 1/3) x)
(*.f64 x (cbrt.f64 (pow.f64 (log.f64 x) 2)))
(.f64 (pow.f64 (.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2)) 1/3) x)
(*.f64 x (cbrt.f64 (pow.f64 (log.f64 x) 2)))
(.f64 (pow.f64 (.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2)) 1/3) x)
(*.f64 x (cbrt.f64 (pow.f64 (log.f64 x) 2)))
(.f64 (pow.f64 (.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2)) 1/3) x)
(*.f64 x (cbrt.f64 (pow.f64 (log.f64 x) 2)))
(.f64 (pow.f64 (.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2)) 1/3) x)
(*.f64 x (cbrt.f64 (pow.f64 (log.f64 x) 2)))
(.f64 -1 (.f64 (pow.f64 (.f64 1 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2)) 1/3) (*.f64 (cbrt.f64 -1) x)))
(neg.f64 (.f64 (cbrt.f64 (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2)) (.f64 x (cbrt.f64 -1))))
(.f64 (cbrt.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (neg.f64 (.f64 x (cbrt.f64 -1))))
(.f64 (cbrt.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (.f64 x (neg.f64 (cbrt.f64 -1))))
(.f64 x (.f64 (cbrt.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (neg.f64 (cbrt.f64 -1))))
(.f64 -1 (.f64 (pow.f64 (.f64 1 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2)) 1/3) (*.f64 (cbrt.f64 -1) x)))
(neg.f64 (.f64 (cbrt.f64 (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2)) (.f64 x (cbrt.f64 -1))))
(.f64 (cbrt.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (neg.f64 (.f64 x (cbrt.f64 -1))))
(.f64 (cbrt.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (.f64 x (neg.f64 (cbrt.f64 -1))))
(.f64 x (.f64 (cbrt.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (neg.f64 (cbrt.f64 -1))))
(.f64 -1 (.f64 (pow.f64 (.f64 1 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2)) 1/3) (*.f64 (cbrt.f64 -1) x)))
(neg.f64 (.f64 (cbrt.f64 (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2)) (.f64 x (cbrt.f64 -1))))
(.f64 (cbrt.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (neg.f64 (.f64 x (cbrt.f64 -1))))
(.f64 (cbrt.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (.f64 x (neg.f64 (cbrt.f64 -1))))
(.f64 x (.f64 (cbrt.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (neg.f64 (cbrt.f64 -1))))
(.f64 -1 (.f64 (pow.f64 (.f64 1 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2)) 1/3) (*.f64 (cbrt.f64 -1) x)))
(neg.f64 (.f64 (cbrt.f64 (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2)) (.f64 x (cbrt.f64 -1))))
(.f64 (cbrt.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (neg.f64 (.f64 x (cbrt.f64 -1))))
(.f64 (cbrt.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (.f64 x (neg.f64 (cbrt.f64 -1))))
(.f64 x (.f64 (cbrt.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (neg.f64 (cbrt.f64 -1))))
(*.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 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (.f64 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 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (.f64 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 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (.f64 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 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (.f64 x (neg.f64 (cbrt.f64 -1))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (.f64 x (pow.f64 (.f64 x (log.f64 x)) 2))))) 1)
(cbrt.f64 (.f64 x (pow.f64 (.f64 x (log.f64 x)) 2)))
(.f64 (cbrt.f64 (.f64 x (pow.f64 (*.f64 x (log.f64 x)) 2))) 1)
(cbrt.f64 (.f64 x (pow.f64 (.f64 x (log.f64 x)) 2)))
(.f64 1 (cbrt.f64 (.f64 x (pow.f64 (*.f64 x (log.f64 x)) 2))))
(cbrt.f64 (.f64 x (pow.f64 (.f64 x (log.f64 x)) 2)))
(.f64 (cbrt.f64 (.f64 (.f64 x (log.f64 x)) (sqrt.f64 x))) (cbrt.f64 (.f64 (*.f64 x (log.f64 x)) (sqrt.f64 x))))
(pow.f64 (cbrt.f64 (.f64 x (.f64 (log.f64 x) (sqrt.f64 x)))) 2)
(pow.f64 (cbrt.f64 (.f64 (.f64 x (log.f64 x)) (sqrt.f64 x))) 2)
(.f64 (pow.f64 (cbrt.f64 (.f64 x (log.f64 x))) 2) (cbrt.f64 x))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 x (pow.f64 (.f64 x (log.f64 x)) 2)))) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (pow.f64 (*.f64 x (log.f64 x)) 2)))) 2))
(cbrt.f64 (.f64 x (pow.f64 (.f64 x (log.f64 x)) 2)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (pow.f64 (.f64 x (log.f64 x)) 2)))) 2) (cbrt.f64 (cbrt.f64 (.f64 x (pow.f64 (*.f64 x (log.f64 x)) 2)))))
(cbrt.f64 (.f64 x (pow.f64 (.f64 x (log.f64 x)) 2)))
(.f64 (cbrt.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 x))
(.f64 (pow.f64 1 1/3) (cbrt.f64 (.f64 x (pow.f64 (*.f64 x (log.f64 x)) 2))))
(cbrt.f64 (.f64 x (pow.f64 (.f64 x (log.f64 x)) 2)))
(.f64 (pow.f64 (.f64 (.f64 x (log.f64 x)) (sqrt.f64 x)) 1/3) (pow.f64 (.f64 (*.f64 x (log.f64 x)) (sqrt.f64 x)) 1/3))
(pow.f64 (cbrt.f64 (.f64 x (.f64 (log.f64 x) (sqrt.f64 x)))) 2)
(pow.f64 (cbrt.f64 (.f64 (.f64 x (log.f64 x)) (sqrt.f64 x))) 2)
(.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 x (log.f64 x)) 4) (.f64 x x))) 1/3) (cbrt.f64 (cbrt.f64 (.f64 x (pow.f64 (.f64 x (log.f64 x)) 2)))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 x (pow.f64 (.f64 x (log.f64 x)) 2)))) (cbrt.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 x (log.f64 x)) 4) (.f64 x x)))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 x (pow.f64 (.f64 x (log.f64 x)) 2)))) (cbrt.f64 (cbrt.f64 (.f64 x (.f64 x (pow.f64 (.f64 x (log.f64 x)) 4))))))
(pow.f64 (.f64 x (pow.f64 (.f64 x (log.f64 x)) 2)) 1/3)
(cbrt.f64 (.f64 x (pow.f64 (.f64 x (log.f64 x)) 2)))
(pow.f64 (cbrt.f64 (.f64 x (pow.f64 (.f64 x (log.f64 x)) 2))) 1)
(cbrt.f64 (.f64 x (pow.f64 (.f64 x (log.f64 x)) 2)))
(pow.f64 (cbrt.f64 (.f64 (.f64 x (log.f64 x)) (sqrt.f64 x))) 2)
(pow.f64 (cbrt.f64 (.f64 x (.f64 (log.f64 x) (sqrt.f64 x)))) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (pow.f64 (.f64 x (log.f64 x)) 2)))) 3)
(cbrt.f64 (.f64 x (pow.f64 (.f64 x (log.f64 x)) 2)))
(sqrt.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 x (log.f64 x)) 4) (*.f64 x x))))
(sqrt.f64 (cbrt.f64 (.f64 x (.f64 x (pow.f64 (*.f64 x (log.f64 x)) 4)))))
(log.f64 (exp.f64 (cbrt.f64 (.f64 x (pow.f64 (.f64 x (log.f64 x)) 2)))))
(cbrt.f64 (.f64 x (pow.f64 (.f64 x (log.f64 x)) 2)))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (.f64 x (pow.f64 (.f64 x (log.f64 x)) 2))))))
(cbrt.f64 (.f64 x (pow.f64 (.f64 x (log.f64 x)) 2)))
(expm1.f64 (log1p.f64 (cbrt.f64 (.f64 x (pow.f64 (.f64 x (log.f64 x)) 2)))))
(cbrt.f64 (.f64 x (pow.f64 (.f64 x (log.f64 x)) 2)))
(exp.f64 (log.f64 (cbrt.f64 (.f64 x (pow.f64 (.f64 x (log.f64 x)) 2)))))
(cbrt.f64 (.f64 x (pow.f64 (.f64 x (log.f64 x)) 2)))
(exp.f64 (.f64 (log.f64 (.f64 x (pow.f64 (*.f64 x (log.f64 x)) 2))) 1/3))
(cbrt.f64 (.f64 x (pow.f64 (.f64 x (log.f64 x)) 2)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (pow.f64 (*.f64 x (log.f64 x)) 2)))) 1))
(cbrt.f64 (.f64 x (pow.f64 (.f64 x (log.f64 x)) 2)))
(log1p.f64 (expm1.f64 (cbrt.f64 (.f64 x (pow.f64 (.f64 x (log.f64 x)) 2)))))
(cbrt.f64 (.f64 x (pow.f64 (.f64 x (log.f64 x)) 2)))
(-.f64 (exp.f64 (log1p.f64 (*.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 (pow.f64 (*.f64 x (log.f64 x)) 2) 1/2)
(*.f64 x (log.f64 x))
(pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 2)
(*.f64 x (log.f64 x))
(pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3)
(*.f64 x (log.f64 x))
(pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) 1/3)
(*.f64 x (log.f64 x))
(sqrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 2))
(*.f64 x (log.f64 x))
(fabs.f64 (*.f64 x (log.f64 x)))
(*.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)))
(*.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))
(exp.f64 (.f64 (log.f64 (.f64 x (log.f64 x))) 1))
(*.f64 x (log.f64 x))
(log1p.f64 (-.f64 (pow.f64 x x) 1))
(*.f64 x (log.f64 x))

localize18.0ms (0.4%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
	99.3%	(pow.f64 (cbrt.f64 x) 2)
✓	99.1%	(*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))
✓	99.0%	(cbrt.f64 (sqrt.f64 x))
	99.0%	(cbrt.f64 x)

Compiler

Compiled 45 to 16 computations (64.4% saved)

series4.0ms (0.1%)

Counts

2 → 12

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(cbrt.f64 (sqrt.f64 x))
0.0ms	x	@	0	(cbrt.f64 (sqrt.f64 x))
0.0ms	x	@	inf	(cbrt.f64 (sqrt.f64 x))
0.0ms	x	@	-inf	(*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))
0.0ms	x	@	0	(*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))

rewrite82.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1112×	`add-sqr-sqrt`
1090×	`*-un-lft-identity`
1022×	`pow1`
1020×	`add-cube-cbrt`
1010×	`add-cbrt-cube`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	14
1	134	12
2	1481	12

Stop Event

1×	node limit

Counts

2 → 33

Calls

Call 1

Inputs
(cbrt.f64 (sqrt.f64 x))
(*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))

Outputs

(((-.f64 (+.f64 1 (pow.f64 x 1/6)) 1) (2)) ((*.f64 (pow.f64 x 1/6) 1) (2)) ((*.f64 1 (pow.f64 x 1/6)) (2)) ((*.f64 (pow.f64 (sqrt.f64 x) 1/6) (pow.f64 (sqrt.f64 x) 1/6)) (2)) ((*.f64 (cbrt.f64 (pow.f64 x 1/6)) (cbrt.f64 (cbrt.f64 x))) (2)) ((*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x 1/6))) (2)) ((*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)) (sqrt.f64 (cbrt.f64 (cbrt.f64 x)))) (2)) ((*.f64 (pow.f64 1 1/3) (pow.f64 x 1/6)) (2)) ((*.f64 (pow.f64 (pow.f64 x 1/4) 1/3) (pow.f64 (pow.f64 x 1/4) 1/3)) (2)) ((pow.f64 x 1/6) (2)) ((pow.f64 (sqrt.f64 x) 1/3) (2)) ((pow.f64 (pow.f64 x 1/6) 1) (2)) ((pow.f64 (cbrt.f64 x) 1/2) (2)) ((pow.f64 (pow.f64 (sqrt.f64 x) 1/6) 2) (2)) ((pow.f64 (cbrt.f64 (pow.f64 x 1/6)) 3) (2)) ((sqrt.f64 (cbrt.f64 x)) (2)) ((fabs.f64 (pow.f64 x 1/6)) (2)) ((log.f64 (exp.f64 (pow.f64 x 1/6))) (2)) ((expm1.f64 (log1p.f64 (pow.f64 x 1/6))) (2)) ((exp.f64 (log.f64 (pow.f64 x 1/6))) (2)) ((log1p.f64 (expm1.f64 (pow.f64 x 1/6))) (2)))

(((-.f64 (+.f64 1 (cbrt.f64 x)) 1) (2)) ((pow.f64 x 1/3) (2)) ((pow.f64 (sqrt.f64 x) 2/3) (2)) ((pow.f64 (pow.f64 x 1/6) 2) (2)) ((pow.f64 (cbrt.f64 x) 1) (2)) ((pow.f64 (cbrt.f64 (cbrt.f64 x)) 3) (2)) ((sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (2)) ((log.f64 (exp.f64 (cbrt.f64 x))) (2)) ((cbrt.f64 x) (2)) ((expm1.f64 (log1p.f64 (cbrt.f64 x))) (2)) ((exp.f64 (log.f64 (cbrt.f64 x))) (2)) ((log1p.f64 (expm1.f64 (cbrt.f64 x))) (2)))

simplify56.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

854×	`associate-r`
766×	`associate-l`
760×	`distribute-lft-in`
752×	`*-commutative`
752×	`fma-def`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	73	539
1	151	467
2	466	401
3	2962	393
4	7335	393

Stop Event

1×	node limit

Counts

45 → 42

Calls

Call 1

Inputs
(pow.f64 x 1/6)
(pow.f64 x 1/6)
(pow.f64 x 1/6)
(pow.f64 x 1/6)
(pow.f64 x 1/6)
(pow.f64 x 1/6)
(pow.f64 x 1/6)
(pow.f64 x 1/6)
(.f64 (pow.f64 (.f64 -1 x) 1/6) (pow.f64 (*.f64 (sqrt.f64 -1) 1) 1/3))
(.f64 (pow.f64 (.f64 -1 x) 1/6) (pow.f64 (*.f64 (sqrt.f64 -1) 1) 1/3))
(.f64 (pow.f64 (.f64 -1 x) 1/6) (pow.f64 (*.f64 (sqrt.f64 -1) 1) 1/3))
(.f64 (pow.f64 (.f64 -1 x) 1/6) (pow.f64 (*.f64 (sqrt.f64 -1) 1) 1/3))
(-.f64 (+.f64 1 (pow.f64 x 1/6)) 1)
(*.f64 (pow.f64 x 1/6) 1)
(*.f64 1 (pow.f64 x 1/6))
(*.f64 (pow.f64 (sqrt.f64 x) 1/6) (pow.f64 (sqrt.f64 x) 1/6))
(*.f64 (cbrt.f64 (pow.f64 x 1/6)) (cbrt.f64 (cbrt.f64 x)))
(*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x 1/6)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)) (sqrt.f64 (cbrt.f64 (cbrt.f64 x))))
(*.f64 (pow.f64 1 1/3) (pow.f64 x 1/6))
(*.f64 (pow.f64 (pow.f64 x 1/4) 1/3) (pow.f64 (pow.f64 x 1/4) 1/3))
(pow.f64 x 1/6)
(pow.f64 (sqrt.f64 x) 1/3)
(pow.f64 (pow.f64 x 1/6) 1)
(pow.f64 (cbrt.f64 x) 1/2)
(pow.f64 (pow.f64 (sqrt.f64 x) 1/6) 2)
(pow.f64 (cbrt.f64 (pow.f64 x 1/6)) 3)
(sqrt.f64 (cbrt.f64 x))
(fabs.f64 (pow.f64 x 1/6))
(log.f64 (exp.f64 (pow.f64 x 1/6)))
(expm1.f64 (log1p.f64 (pow.f64 x 1/6)))
(exp.f64 (log.f64 (pow.f64 x 1/6)))
(log1p.f64 (expm1.f64 (pow.f64 x 1/6)))
(-.f64 (+.f64 1 (cbrt.f64 x)) 1)
(pow.f64 x 1/3)
(pow.f64 (sqrt.f64 x) 2/3)
(pow.f64 (pow.f64 x 1/6) 2)
(pow.f64 (cbrt.f64 x) 1)
(pow.f64 (cbrt.f64 (cbrt.f64 x)) 3)
(sqrt.f64 (pow.f64 (cbrt.f64 x) 2))
(log.f64 (exp.f64 (cbrt.f64 x)))
(cbrt.f64 x)
(expm1.f64 (log1p.f64 (cbrt.f64 x)))
(exp.f64 (log.f64 (cbrt.f64 x)))
(log1p.f64 (expm1.f64 (cbrt.f64 x)))

Outputs
(pow.f64 x 1/6)
(pow.f64 x 1/6)
(pow.f64 x 1/6)
(pow.f64 x 1/6)
(pow.f64 x 1/6)
(pow.f64 x 1/6)
(pow.f64 x 1/6)
(pow.f64 x 1/6)
(.f64 (pow.f64 (.f64 -1 x) 1/6) (pow.f64 (*.f64 (sqrt.f64 -1) 1) 1/3))
(*.f64 (pow.f64 (neg.f64 x) 1/6) (cbrt.f64 (sqrt.f64 -1)))
(.f64 (pow.f64 (.f64 -1 x) 1/6) (pow.f64 (*.f64 (sqrt.f64 -1) 1) 1/3))
(*.f64 (pow.f64 (neg.f64 x) 1/6) (cbrt.f64 (sqrt.f64 -1)))
(.f64 (pow.f64 (.f64 -1 x) 1/6) (pow.f64 (*.f64 (sqrt.f64 -1) 1) 1/3))
(*.f64 (pow.f64 (neg.f64 x) 1/6) (cbrt.f64 (sqrt.f64 -1)))
(.f64 (pow.f64 (.f64 -1 x) 1/6) (pow.f64 (*.f64 (sqrt.f64 -1) 1) 1/3))
(*.f64 (pow.f64 (neg.f64 x) 1/6) (cbrt.f64 (sqrt.f64 -1)))
(-.f64 (+.f64 1 (pow.f64 x 1/6)) 1)
(pow.f64 x 1/6)
(*.f64 (pow.f64 x 1/6) 1)
(pow.f64 x 1/6)
(*.f64 1 (pow.f64 x 1/6))
(pow.f64 x 1/6)
(*.f64 (pow.f64 (sqrt.f64 x) 1/6) (pow.f64 (sqrt.f64 x) 1/6))
(cbrt.f64 (sqrt.f64 x))
(*.f64 (cbrt.f64 (pow.f64 x 1/6)) (cbrt.f64 (cbrt.f64 x)))
(pow.f64 x 1/6)
(*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x 1/6)))
(pow.f64 x 1/6)
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)) (sqrt.f64 (cbrt.f64 (cbrt.f64 x))))
(pow.f64 x 1/6)
(*.f64 (pow.f64 1 1/3) (pow.f64 x 1/6))
(pow.f64 x 1/6)
(*.f64 (pow.f64 (pow.f64 x 1/4) 1/3) (pow.f64 (pow.f64 x 1/4) 1/3))
(*.f64 (cbrt.f64 (pow.f64 x 1/4)) (cbrt.f64 (pow.f64 x 1/4)))
(pow.f64 (pow.f64 (pow.f64 x 1/4) 1/6) 4)
(pow.f64 x 1/6)
(pow.f64 (sqrt.f64 x) 1/3)
(cbrt.f64 (sqrt.f64 x))
(pow.f64 (pow.f64 x 1/6) 1)
(pow.f64 x 1/6)
(pow.f64 (cbrt.f64 x) 1/2)
(pow.f64 x 1/6)
(pow.f64 (pow.f64 (sqrt.f64 x) 1/6) 2)
(cbrt.f64 (sqrt.f64 x))
(pow.f64 (cbrt.f64 (pow.f64 x 1/6)) 3)
(pow.f64 x 1/6)
(sqrt.f64 (cbrt.f64 x))
(pow.f64 x 1/6)
(fabs.f64 (pow.f64 x 1/6))
(pow.f64 x 1/6)
(log.f64 (exp.f64 (pow.f64 x 1/6)))
(pow.f64 x 1/6)
(expm1.f64 (log1p.f64 (pow.f64 x 1/6)))
(pow.f64 x 1/6)
(exp.f64 (log.f64 (pow.f64 x 1/6)))
(pow.f64 x 1/6)
(log1p.f64 (expm1.f64 (pow.f64 x 1/6)))
(pow.f64 x 1/6)
(-.f64 (+.f64 1 (cbrt.f64 x)) 1)
(+.f64 1 (-.f64 (cbrt.f64 x) 1))
(+.f64 (cbrt.f64 x) 0)
(cbrt.f64 x)
(pow.f64 x 1/3)
(+.f64 1 (-.f64 (cbrt.f64 x) 1))
(+.f64 (cbrt.f64 x) 0)
(cbrt.f64 x)
(pow.f64 (sqrt.f64 x) 2/3)
(*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))
(pow.f64 (pow.f64 (sqrt.f64 x) 1/6) 4)
(pow.f64 (pow.f64 x 1/6) 2)
(+.f64 1 (-.f64 (cbrt.f64 x) 1))
(+.f64 (cbrt.f64 x) 0)
(cbrt.f64 x)
(pow.f64 (cbrt.f64 x) 1)
(+.f64 1 (-.f64 (cbrt.f64 x) 1))
(+.f64 (cbrt.f64 x) 0)
(cbrt.f64 x)
(pow.f64 (cbrt.f64 (cbrt.f64 x)) 3)
(+.f64 1 (-.f64 (cbrt.f64 x) 1))
(+.f64 (cbrt.f64 x) 0)
(cbrt.f64 x)
(sqrt.f64 (pow.f64 (cbrt.f64 x) 2))
(+.f64 1 (-.f64 (cbrt.f64 x) 1))
(+.f64 (cbrt.f64 x) 0)
(cbrt.f64 x)
(log.f64 (exp.f64 (cbrt.f64 x)))
(+.f64 1 (-.f64 (cbrt.f64 x) 1))
(+.f64 (cbrt.f64 x) 0)
(cbrt.f64 x)
(cbrt.f64 x)
(+.f64 1 (-.f64 (cbrt.f64 x) 1))
(+.f64 (cbrt.f64 x) 0)
(expm1.f64 (log1p.f64 (cbrt.f64 x)))
(+.f64 1 (-.f64 (cbrt.f64 x) 1))
(+.f64 (cbrt.f64 x) 0)
(cbrt.f64 x)
(exp.f64 (log.f64 (cbrt.f64 x)))
(+.f64 1 (-.f64 (cbrt.f64 x) 1))
(+.f64 (cbrt.f64 x) 0)
(cbrt.f64 x)
(log1p.f64 (expm1.f64 (cbrt.f64 x)))
(+.f64 1 (-.f64 (cbrt.f64 x) 1))
(+.f64 (cbrt.f64 x) 0)
(cbrt.f64 x)

eval133.0ms (2.9%)

Compiler: Compiled 8050 to 3488 computations (56.7% saved)

prune132.0ms (2.9%)

Pruning

24 alts after pruning (12 fresh and 12 done)

	Pruned	Kept	Total
New	554	8	562
Fresh	4	4	8
Picked	1	0	1
Done	1	12	13
Total	560	24	584

Accurracy

100.0%

Counts

584 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	96.3%	(pow.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 x))) 3) (cbrt.f64 x)) 3)
✓	54.0%	(pow.f64 (*.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 x)) 2)
✓	97.3%	(pow.f64 (*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 x)) 3)
✓	54.1%	(pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 2)
✓	97.7%	(pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3)
	98.4%	(.f64 (pow.f64 (pow.f64 (log.f64 x) 2) 1/3) (.f64 (cbrt.f64 (log.f64 x)) x))
	53.7%	(.f64 (pow.f64 (pow.f64 (log.f64 x) 1/3) 2) (.f64 (cbrt.f64 (log.f64 x)) x))
	97.0%	(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 x))) 3) 2) (.f64 (cbrt.f64 (log.f64 x)) x))
	96.6%	(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 3) 2) (.f64 (log.f64 x) (cbrt.f64 x)))
	97.5%	(.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (pow.f64 (cbrt.f64 (.f64 x (cbrt.f64 (log.f64 x)))) 3))
✓	98.0%	(.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (.f64 (cbrt.f64 (log.f64 x)) x))
✓	97.7%	(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (log.f64 x) (cbrt.f64 x)))
	98.3%	(.f64 (.f64 (pow.f64 (*.f64 1 (pow.f64 (log.f64 x) 2)) 1/3) x) (cbrt.f64 (log.f64 x)))
✓	97.7%	(.f64 (.f64 (log.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
✓	99.0%	(.f64 (.f64 (log.f64 x) (sqrt.f64 x)) (sqrt.f64 x))
	54.1%	(.f64 (.f64 x (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)))
	55.3%	(.f64 (sqrt.f64 (.f64 x (pow.f64 (log.f64 x) 2))) (sqrt.f64 x))
	64.9%	(.f64 (cbrt.f64 (pow.f64 (.f64 (log.f64 x) (sqrt.f64 x)) 3)) (sqrt.f64 x))
	98.8%	(.f64 (cbrt.f64 (pow.f64 (log.f64 x) 2)) (.f64 (cbrt.f64 (log.f64 x)) x))
✓	46.3%	(.f64 (cbrt.f64 (.f64 x x)) (*.f64 (log.f64 x) (cbrt.f64 x)))
	46.5%	(.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 (*.f64 x (pow.f64 (log.f64 x) 3))))
✓	99.5%	(*.f64 x (log.f64 x))
✓	33.8%	(cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3))
✓	33.7%	(cbrt.f64 (.f64 (.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) x) (log.f64 x)))

Compiler

Compiled 269 to 183 computations (32% saved)

regimes47.0ms (1%)

Accuracy

Total -52.5b remaining (-18176.3%)

Threshold costs -52.5b (-18176.3%)

Counts

33 → 1

Calls

Call 1

Inputs
(*.f64 x (log.f64 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 (cbrt.f64 (.f64 x x)) (*.f64 (log.f64 x) (cbrt.f64 x)))
(pow.f64 (*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 x)) 3)
(pow.f64 (*.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 x)) 2)
(.f64 (.f64 x (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)))
(.f64 (sqrt.f64 (.f64 x (pow.f64 (log.f64 x) 2))) (sqrt.f64 x))
(.f64 (.f64 (log.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (log.f64 x)))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (log.f64 x) (cbrt.f64 x)))
(cbrt.f64 (.f64 (.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) x) (log.f64 x)))
(.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 (*.f64 x (pow.f64 (log.f64 x) 3))))
(.f64 (cbrt.f64 (pow.f64 (log.f64 x) 2)) (.f64 (cbrt.f64 (log.f64 x)) x))
(.f64 (cbrt.f64 (pow.f64 (.f64 (log.f64 x) (sqrt.f64 x)) 3)) (sqrt.f64 x))
(.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (.f64 (cbrt.f64 (log.f64 x)) x))
(.f64 (pow.f64 (pow.f64 (log.f64 x) 1/3) 2) (.f64 (cbrt.f64 (log.f64 x)) x))
(.f64 (pow.f64 (pow.f64 (log.f64 x) 2) 1/3) (.f64 (cbrt.f64 (log.f64 x)) x))
(.f64 (cbrt.f64 (.f64 x (pow.f64 (*.f64 x (log.f64 x)) 2))) (cbrt.f64 (log.f64 x)))
(.f64 (.f64 (pow.f64 (*.f64 1 (pow.f64 (log.f64 x) 2)) 1/3) x) (cbrt.f64 (log.f64 x)))
(pow.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 x))) 3) (cbrt.f64 x)) 3)
(.f64 (.f64 (log.f64 x) (pow.f64 (cbrt.f64 x) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 3))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) 3) (.f64 (log.f64 x) (cbrt.f64 x)))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 3) 2) (.f64 (log.f64 x) (cbrt.f64 x)))
(.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 (log.f64 x)) 2) (pow.f64 (cbrt.f64 (.f64 x (cbrt.f64 (log.f64 x)))) 3))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 x))) 3) 2) (.f64 (cbrt.f64 (log.f64 x)) x))
(.f64 (.f64 (log.f64 x) (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 x))))
(.f64 (.f64 (log.f64 x) (pow.f64 (*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 x))) 2)) (cbrt.f64 x))
(.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (.f64 x (cbrt.f64 x)))) (.f64 (log.f64 x) (cbrt.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)))))

Outputs
(*.f64 x (log.f64 x))

Calls

2 calls:

15.0ms	(*.f64 x (log.f64 x))
14.0ms	x

Results

Accuracy	Segments	Branch
99.5%	1	`x`
99.5%	1	`(*.f64 x (log.f64 x))`

Compiler

Compiled 386 to 156 computations (59.6% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	11
1	7	11

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(*.f64 x (log.f64 x))

Outputs
(*.f64 x (log.f64 x))

Compiler

Compiled 5 to 3 computations (40% saved)

soundness0.0ms (0%)

end55.0ms (1.2%)

Compiler: Compiled 5 to 3 computations (40% saved)

Details

analyze3.0ms (0.1%)

sample1.1s (24.1%)

preprocess16.0ms (0.3%)

simplify11.0ms (0.2%)

eval0.0ms (0%)

prune1.0ms (0%)

localize6.0ms (0.1%)

series73.0ms (1.6%)

rewrite94.0ms (2.1%)

simplify52.0ms (1.1%)

eval2.0ms (0.1%)

prune3.0ms (0.1%)

localize10.0ms (0.2%)

series4.0ms (0.1%)

rewrite63.0ms (1.4%)

simplify58.0ms (1.3%)

localize8.0ms (0.2%)

series17.0ms (0.4%)

rewrite64.0ms (1.4%)

simplify50.0ms (1.1%)

localize8.0ms (0.2%)

series12.0ms (0.3%)

rewrite56.0ms (1.2%)

simplify58.0ms (1.3%)

eval41.0ms (0.9%)

prune82.0ms (1.8%)

localize8.0ms (0.2%)

series4.0ms (0.1%)

rewrite59.0ms (1.3%)

simplify49.0ms (1.1%)

localize11.0ms (0.2%)

series28.0ms (0.6%)

rewrite81.0ms (1.8%)

simplify173.0ms (3.8%)

localize28.0ms (0.6%)

series7.0ms (0.2%)

rewrite88.0ms (2%)

simplify95.0ms (2.1%)

localize12.0ms (0.3%)

series3.0ms (0.1%)

rewrite86.0ms (1.9%)

simplify84.0ms (1.9%)

localize16.0ms (0.4%)

series7.0ms (0.2%)

rewrite71.0ms (1.6%)

simplify96.0ms (2.1%)

eval114.0ms (2.5%)

prune104.0ms (2.3%)

localize11.0ms (0.2%)

series13.0ms (0.3%)

rewrite128.0ms (2.8%)

simplify102.0ms (2.3%)

localize52.0ms (1.2%)

series1.0ms (0%)

rewrite92.0ms (2%)

simplify64.0ms (1.4%)

localize11.0ms (0.2%)

series1.0ms (0%)

rewrite103.0ms (2.3%)

simplify60.0ms (1.3%)

localize18.0ms (0.4%)

series6.0ms (0.1%)

rewrite94.0ms (2.1%)

simplify117.0ms (2.6%)

localize18.0ms (0.4%)

series4.0ms (0.1%)

rewrite82.0ms (1.8%)

simplify56.0ms (1.2%)

eval133.0ms (2.9%)

prune132.0ms (2.9%)

regimes47.0ms (1%)

simplify3.0ms (0.1%)

soundness0.0ms (0%)

end55.0ms (1.2%)

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