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)

sample1.2s (29%)

Results

1.2s	8256×	body	256	valid
1.0ms	9×	body	256	infinite
1.0ms	8×	body	256	invalid

Bogosity

preprocess4.0ms (0.1%)

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)

simplify43.0ms (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×

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

Error

0.2b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.2b	(*.f64 x (log.f64 x))

Compiler

Compiled 5 to 3 computations (40% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 x (log.f64 x))

Compiler

Compiled 8 to 3 computations (62.5% saved)

series87.0ms (2.1%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
55.0ms	x	@	0	(*.f64 x (log.f64 x))
25.0ms	x	@	-inf	(*.f64 x (log.f64 x))
7.0ms	x	@	inf	(*.f64 x (log.f64 x))

rewrite53.0ms (1.3%)

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
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (.f64 x (log.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (log.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 x (log.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x (log.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x (log.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 x (log.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 x (log.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 x x) 1))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (log.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (log.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 x x) 1))))))

simplify49.0ms (1.2%)

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

Error

0.1b

Counts

18 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	37.2b	(pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 2)
▶	1.4b	(pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3)
✓	0.2b	(*.f64 x (log.f64 x))
▶	41.6b	(cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3))

Compiler

Compiled 29 to 21 computations (27.6% saved)

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.2b	(*.f64 x (log.f64 x))
✓	0.3b	(pow.f64 (*.f64 x (log.f64 x)) 3)
✓	40.4b	(cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3))

Compiler

Compiled 22 to 9 computations (59.1% saved)

series5.0ms (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)
1.0ms	x	@	0	(pow.f64 (*.f64 x (log.f64 x)) 3)
1.0ms	x	@	0	(cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3))

rewrite56.0ms (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
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (.f64 x (log.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 x (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (log.f64 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x (log.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 x (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (log.f64 x)) (.f64 (sqrt.f64 (log.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 x (log.f64 x))) (sqrt.f64 (.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (.f64 (cbrt.f64 (log.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 x (log.f64 x))) (pow.f64 (cbrt.f64 (.f64 x (log.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 x (log.f64 x))) (pow.f64 (pow.f64 (.f64 x (log.f64 x)) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 x (log.f64 x))) 2) (cbrt.f64 (.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 x x)) (.f64 (cbrt.f64 x) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (log.f64 x) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (log.f64 x) (cbrt.f64 (.f64 x x))) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (.f64 x (log.f64 x)) 2) 1/3) (cbrt.f64 (.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/3) (.f64 x (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((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))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (log.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x (log.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 x (log.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x (log.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 x (log.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 x (log.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 x (log.f64 x)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 x x) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (.f64 x (log.f64 x)) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 x (.f64 (log.f64 x) (pow.f64 (.f64 x (log.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (log.f64 x) (.f64 x (pow.f64 (.f64 x (log.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x (log.f64 x)) (pow.f64 (.f64 x (log.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 x (log.f64 x)) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (.f64 x (log.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 x (log.f64 x)) 3/2) (pow.f64 (.f64 x (log.f64 x)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 x (log.f64 x))) (.f64 (sqrt.f64 (.f64 x (log.f64 x))) (pow.f64 (.f64 x (log.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .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)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 x (log.f64 x)) 2) (.f64 x (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 x 3) (pow.f64 (log.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (log.f64 x) 3) (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (.f64 x (log.f64 x)) 2) x) (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (.f64 x (log.f64 x)) 2) (log.f64 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (.f64 x (log.f64 x)) 2) 1) (.f64 x (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((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))))))) (#(struct:change #<rule egg-rr> (2) ((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))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (.f64 x (log.f64 x))) 3) (pow.f64 (sqrt.f64 (.f64 x (log.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 x (log.f64 x))) 2) 3) (.f64 x (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 x (log.f64 x)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (.f64 x (log.f64 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (.f64 x (log.f64 x)) 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (.f64 x (log.f64 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 3 (log.f64 (.f64 x (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (.f64 x (log.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (.f64 x (log.f64 x)) 3)))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (log.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (log.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 x)) (*.f64 (sqrt.f64 (log.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (sqrt.f64 (*.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (*.f64 (cbrt.f64 (log.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (log.f64 x))) (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (log.f64 x))) (pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) (cbrt.f64 (*.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 x) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 x) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) 1/3) (cbrt.f64 (*.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (*.f64 x (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((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))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (log.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (log.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 x (log.f64 x)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 x x) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (*.f64 x (log.f64 x)) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (log.f64 x) (pow.f64 (*.f64 x (log.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 x) (*.f64 x (pow.f64 (*.f64 x (log.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (log.f64 x)) (pow.f64 (*.f64 x (log.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (*.f64 x (log.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (log.f64 x)) 3/2) (pow.f64 (*.f64 x (log.f64 x)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (*.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (pow.f64 (*.f64 x (log.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) (*.f64 x (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 3) (pow.f64 (log.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 x) 3) (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) x) (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) (log.f64 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) 1) (*.f64 x (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((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))))))) (#(struct:change #<rule egg-rr> (2) ((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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 3) (pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) 3) (*.f64 x (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (*.f64 x (log.f64 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (*.f64 x (log.f64 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3 (log.f64 (*.f64 x (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 x (log.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (*.f64 x (log.f64 x)) 3)))))))

simplify60.0ms (1.5%)

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)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.2b	(*.f64 x (log.f64 x))
✓	0.6b	(cbrt.f64 (*.f64 x (log.f64 x)))
✓	0.7b	(pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3)

Compiler

Compiled 21 to 7 computations (66.7% saved)

series5.0ms (0.1%)

Counts

2 → 0

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	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)))

rewrite55.0ms (1.3%)

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (log.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (log.f64 x))) (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (log.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 x)) (*.f64 (sqrt.f64 (log.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (sqrt.f64 (*.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((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)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (*.f64 (cbrt.f64 (log.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) (cbrt.f64 (*.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((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)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 x) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 x) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) 1) (cbrt.f64 (*.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((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))))) (#(struct:change #<rule egg-rr> (2) ((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)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) (cbrt.f64 x)) (cbrt.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((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))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) 2) 3) (cbrt.f64 (*.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (log.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 x x) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (*.f64 x (log.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (*.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (log.f64 x)) 1/6) (pow.f64 (*.f64 x (log.f64 x)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((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))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) 2) (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (cbrt.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((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)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 1/3) (pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (log.f64 x)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 x (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 x (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 x (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (log.f64 x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 x (log.f64 x)))))))))

simplify49.0ms (1.2%)

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)))

localize25.0ms (0.6%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (*.f64 x (log.f64 x)))
	0.2b	(*.f64 x (log.f64 x))
✓	0.2b	(pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 2)

Compiler

Compiled 21 to 7 computations (66.7% saved)

series7.0ms (0.2%)

Counts

2 → 0

Calls

6 calls:

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

rewrite62.0ms (1.5%)

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (log.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (log.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (sqrt.f64 (*.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 x)) (*.f64 (sqrt.f64 (log.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((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)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (*.f64 x (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (*.f64 (cbrt.f64 (log.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (log.f64 x))) (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((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)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) (cbrt.f64 (*.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((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))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 x) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (sqrt.f64 x)) (sqrt.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((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)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 x x) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (*.f64 x (log.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (log.f64 x)) 1/4) (pow.f64 (*.f64 x (log.f64 x)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (sqrt.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (log.f64 x))) (cbrt.f64 (sqrt.f64 (*.f64 x (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (log.f64 x)))) (cbrt.f64 (*.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((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))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (log.f64 x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (log.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (*.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 x (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 x (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 x (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 x (log.f64 x)))))))))

simplify48.0ms (1.2%)

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)))

eval39.0ms (1%)

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

prune35.0ms (0.8%)

Pruning

14 alts after pruning (10 fresh and 4 done)

	Pruned	Kept	Total
New	239	10	249
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	239	14	253

Error

0.0b

Counts

253 → 14

Alt Table

Click to see full alt table

Status	Error	Program
	2.6b	(pow.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (log.f64 x)))) 2) (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x))))) 3)
	1.6b	(pow.f64 (*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 x)) 3)
✓	37.2b	(pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 2)
✓	1.4b	(pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3)
	1.8b	(.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)))
	1.4b	(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (log.f64 x)))
▶	37.4b	(.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)))))
▶	0.6b	(.f64 (.f64 (log.f64 x) (sqrt.f64 x)) (sqrt.f64 x))
▶	30.6b	(.f64 (.f64 (log.f64 x) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x))
▶	1.3b	(.f64 (.f64 x (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x)))
▶	37.2b	(.f64 (.f64 x (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)))
	37.2b	(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (*.f64 x (log.f64 x)))))
✓	0.2b	(*.f64 x (log.f64 x))
✓	41.6b	(cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3))

Compiler

Compiled 301 to 171 computations (43.2% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (.f64 (log.f64 x) (sqrt.f64 x)) (sqrt.f64 x))
✓	0.4b	(*.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	@	-inf	(.f64 (.f64 (log.f64 x) (sqrt.f64 x)) (sqrt.f64 x))
1.0ms	x	@	-inf	(*.f64 (log.f64 x) (sqrt.f64 x))
1.0ms	x	@	0	(*.f64 (log.f64 x) (sqrt.f64 x))
1.0ms	x	@	inf	(*.f64 (log.f64 x) (sqrt.f64 x))
0.0ms	x	@	inf	(.f64 (.f64 (log.f64 x) (sqrt.f64 x)) (sqrt.f64 x))

rewrite77.0ms (1.9%)

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (log.f64 x) (sqrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (log.f64 x) (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (log.f64 x) (sqrt.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (log.f64 x) (sqrt.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (log.f64 x) (sqrt.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x (pow.f64 (log.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 x (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (log.f64 x) (sqrt.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (log.f64 x) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (log.f64 x) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 x) (sqrt.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 x (sqrt.f64 x)) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (log.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (log.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (log.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 x x) 1))))))

simplify47.0ms (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 (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (log.f64 x) (cbrt.f64 (.f64 x x)))
✓	0.3b	(.f64 (.f64 (log.f64 x) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x))
✓	0.6b	(cbrt.f64 x)
✓	30.1b	(cbrt.f64 (*.f64 x x))

Compiler

Compiled 30 to 7 computations (76.7% saved)

series8.0ms (0.2%)

Counts

4 → 12

Calls

12 calls:

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

rewrite94.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1650×	`add-sqr-sqrt`
1632×	`*-un-lft-identity`
1514×	`add-cube-cbrt`
1488×	`add-cbrt-cube`
180×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	48
1	189	48
2	2226	48

Stop Event

1×	node limit

Counts

4 → 75

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 x) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cbrt.f64 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 x 1/6) (.f64 (pow.f64 x 1/6) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 x) (pow.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (.f64 x (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 x (cbrt.f64 x))) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/3) (cbrt.f64 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 x (cbrt.f64 x)) 1/3) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x x) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 x (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 2 (log.f64 x)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 x x))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 x 1/6) (pow.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (cbrt.f64 (.f64 x (cbrt.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/3) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 x) 1/3) (pow.f64 (sqrt.f64 x) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x x) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 x) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 x (log.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (log.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 x (log.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x (log.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x (log.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 x (log.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (-.f64 (pow.f64 x x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 x (log.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (*.f64 x (log.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 x x) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (cbrt.f64 (.f64 x x)) (log.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (cbrt.f64 (.f64 x x)) (log.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (cbrt.f64 x) (sqrt.f64 (log.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (cbrt.f64 (.f64 x x)) (log.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (.f64 x x) (pow.f64 (log.f64 x) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (.f64 x (cbrt.f64 x)) (pow.f64 (log.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 x (cbrt.f64 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (-.f64 (pow.f64 x (cbrt.f64 (.f64 x x))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (.f64 x x) (pow.f64 (log.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (cbrt.f64 (.f64 x x)) (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (cbrt.f64 (.f64 x x)) (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (cbrt.f64 (.f64 x x)) (log.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 x (cbrt.f64 (*.f64 x x))) 1))))))

simplify57.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1128×	`associate-+r+`
860×	`associate-+l+`
826×	`unswap-sqr`
566×	`*-commutative`
388×	`sqr-pow`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	163	1231
1	334	1217
2	1250	1211
3	3920	1147

Stop Event

1×	node limit

Counts

87 → 93

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

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

localize25.0ms (0.6%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(sqrt.f64 (log.f64 x))
✓	0.1b	(*.f64 x (sqrt.f64 (log.f64 x)))
✓	0.1b	(.f64 (.f64 x (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)))

Compiler

Compiled 21 to 5 computations (76.2% saved)

series3.0ms (0.1%)

Counts

3 → 32

Calls

9 calls:

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

rewrite70.0ms (1.7%)

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	35
1	153	35
2	1829	35

Stop Event

1×	node limit

Counts

3 → 46

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (log.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (log.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (log.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (log.f64 x))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (sqrt.f64 (log.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 (log.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (log.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 (log.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (sqrt.f64 (log.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (log.f64 x) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (sqrt.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (log.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (sqrt.f64 (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (sqrt.f64 (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (sqrt.f64 (log.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (sqrt.f64 (log.f64 x)))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (log.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 x) 1/4) (pow.f64 (log.f64 x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (log.f64 x))) (cbrt.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 (sqrt.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (sqrt.f64 (cbrt.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) 1/2) (pow.f64 (cbrt.f64 (log.f64 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 x) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (log.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 x) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 x) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log.f64 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (log.f64 x))))))))

simplify49.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1324×	`distribute-lft-in`
1286×	`distribute-rgt-in`
1142×	`associate-+r+`
1036×	`associate-+l+`
744×	`unswap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	121	1524
1	256	1392
2	891	1288
3	3083	1288

Stop Event

1×	node limit

Counts

78 → 71

Calls

Call 1

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

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 x (pow.f64 (cbrt.f64 (log.f64 x)) 2))
✓	0.4b	(.f64 (.f64 x (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x)))
✓	0.4b	(pow.f64 (cbrt.f64 (log.f64 x)) 2)
✓	0.5b	(cbrt.f64 (log.f64 x))

Compiler

Compiled 31 to 13 computations (58.1% saved)

series14.0ms (0.3%)

Counts

4 → 48

Calls

12 calls:

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

rewrite121.0ms (2.9%)

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	56
1	196	56
2	2231	56

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (log.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (log.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cbrt.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (log.f64 x) 1/6) (pow.f64 (log.f64 x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 x))) 2) (cbrt.f64 (cbrt.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((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)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/3) (cbrt.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (log.f64 x)) 1/3) (pow.f64 (sqrt.f64 (log.f64 x)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 x) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 x) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (log.f64 x)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (log.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (log.f64 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (cbrt.f64 (log.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (log.f64 x) 1/6) (.f64 (pow.f64 (log.f64 x) 1/6) (cbrt.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (log.f64 x)) (pow.f64 (log.f64 x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 x))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 x))) 2) (.f64 (cbrt.f64 (cbrt.f64 (log.f64 x))) (cbrt.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 x))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 2 (log.f64 (cbrt.f64 (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (*.f64 2 (log.f64 (cbrt.f64 (log.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 x (log.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (log.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 x (log.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x (log.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x (log.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 x (log.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 x (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 x (log.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 x (log.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (log.f64 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 x (pow.f64 (cbrt.f64 (log.f64 x)) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (pow.f64 (cbrt.f64 (log.f64 x)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (cbrt.f64 (log.f64 x)) (sqrt.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x (pow.f64 (cbrt.f64 (log.f64 x)) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 x 3) (pow.f64 (log.f64 x) 2)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 4) (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (pow.f64 (cbrt.f64 (log.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 x (pow.f64 (cbrt.f64 (log.f64 x)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 x 3) (pow.f64 (log.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 x (pow.f64 (cbrt.f64 (log.f64 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 x (pow.f64 (cbrt.f64 (log.f64 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 x (pow.f64 (cbrt.f64 (log.f64 x)) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 x (pow.f64 (cbrt.f64 (log.f64 x)) 2))))))))

simplify62.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

736×	`associate-/r*`
620×	`associate-/l*`
534×	`distribute-lft-in`
532×	`*-commutative`
528×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	171	1777
1	356	1755
2	1294	1751
3	4291	1751

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

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

localize15.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.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)))))
	0.2b	(*.f64 x (log.f64 x))
✓	0.2b	(cbrt.f64 (sqrt.f64 (*.f64 x (log.f64 x))))
	0.6b	(cbrt.f64 (*.f64 x (log.f64 x)))

Compiler

Compiled 53 to 8 computations (84.9% saved)

series62.0ms (1.5%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
26.0ms	x	@	0	(cbrt.f64 (sqrt.f64 (*.f64 x (log.f64 x))))
22.0ms	x	@	-inf	(cbrt.f64 (sqrt.f64 (*.f64 x (log.f64 x))))
12.0ms	x	@	inf	(cbrt.f64 (sqrt.f64 (*.f64 x (log.f64 x))))
3.0ms	x	@	-inf	(.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)))))
0.0ms	x	@	0	(.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)))))

rewrite57.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1708×	`add-sqr-sqrt`
1686×	`*-un-lft-identity`
1570×	`add-cube-cbrt`
1542×	`add-cbrt-cube`
202×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	78
1	209	28
2	2563	28

Stop Event

1×	node limit

Counts

2 → 41

Calls

Call 1

Inputs
(cbrt.f64 (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)))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 x (log.f64 x)) 1/6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (log.f64 x)) 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (*.f64 x (log.f64 x)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 1/6) (pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 1/6)) (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) (cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (cbrt.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 2)))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (pow.f64 (*.f64 x (log.f64 x)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 1/4) 1/3) (pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 1/4) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 x) 1/3) (pow.f64 (sqrt.f64 (log.f64 x)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (log.f64 x)) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 1/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (*.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (pow.f64 (*.f64 x (log.f64 x)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (*.f64 x (log.f64 x)) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 x (log.f64 x)) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (*.f64 x (log.f64 x)) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (*.f64 x (log.f64 x)) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (log.f64 x)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (log.f64 x)) 1/6)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (*.f64 x (log.f64 x)) 1/6)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (log.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (log.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (-.f64 (pow.f64 x x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (log.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 x x) 1))))))

simplify58.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1162×	`associate-r`
1104×	`associate-+r+`
1046×	`associate-l`
920×	`associate-+l+`
716×	`distribute-lft-neg-out`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	131	1525
1	297	1501
2	817	1397
3	4200	1397

Stop Event

1×	node limit

Counts

65 → 61

Calls

Call 1

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

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

eval125.0ms (3%)

Compiler: Compiled 7088 to 2571 computations (63.7% saved)

prune103.0ms (2.5%)

Pruning

14 alts after pruning (7 fresh and 7 done)

	Pruned	Kept	Total
New	487	5	492
Fresh	3	2	5
Picked	1	0	1
Done	1	7	8
Total	492	14	506

Error

Counts

506 → 14

Alt Table

Click to see full alt table

Status	Error	Program
▶	1.6b	(pow.f64 (*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 x)) 3)
✓	37.2b	(pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 2)
✓	1.4b	(pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3)
▶	1.4b	(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (log.f64 x)))
▶	15.3b	(.f64 (.f64 (log.f64 x) (sqrt.f64 (*.f64 x (cbrt.f64 x)))) (cbrt.f64 x))
✓	0.6b	(.f64 (.f64 (log.f64 x) (sqrt.f64 x)) (sqrt.f64 x))
✓	30.6b	(.f64 (.f64 (log.f64 x) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x))
	1.1b	(.f64 (.f64 x (pow.f64 (pow.f64 (log.f64 x) 2) 1/3)) (cbrt.f64 (log.f64 x)))
✓	37.2b	(.f64 (.f64 x (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)))
▶	0.7b	(.f64 (.f64 x (cbrt.f64 (pow.f64 (log.f64 x) 2))) (cbrt.f64 (log.f64 x)))
▶	36.1b	(.f64 (sqrt.f64 (.f64 x (pow.f64 (log.f64 x) 2))) (sqrt.f64 x))
	30.2b	(.f64 (cbrt.f64 (.f64 x (*.f64 x (pow.f64 (log.f64 x) 3)))) (cbrt.f64 x))
✓	0.2b	(*.f64 x (log.f64 x))
✓	41.6b	(cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3))

Compiler

Compiled 221 to 148 computations (33% saved)

localize17.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(.f64 (.f64 x (cbrt.f64 (pow.f64 (log.f64 x) 2))) (cbrt.f64 (log.f64 x)))
✓	0.5b	(cbrt.f64 (pow.f64 (log.f64 x) 2))
✓	0.5b	(pow.f64 (log.f64 x) 2)
	0.5b	(cbrt.f64 (log.f64 x))

Compiler

Compiled 35 to 18 computations (48.6% saved)

series33.0ms (0.8%)

Counts

3 → 32

Calls

9 calls:

Time	Variable		Point	Expression
29.0ms	x	@	inf	(cbrt.f64 (pow.f64 (log.f64 x) 2))
1.0ms	x	@	-inf	(cbrt.f64 (pow.f64 (log.f64 x) 2))
1.0ms	x	@	0	(cbrt.f64 (pow.f64 (log.f64 x) 2))
0.0ms	x	@	-inf	(pow.f64 (log.f64 x) 2)
0.0ms	x	@	inf	(.f64 (.f64 x (cbrt.f64 (pow.f64 (log.f64 x) 2))) (cbrt.f64 (log.f64 x)))

rewrite64.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1780×	`add-sqr-sqrt`
1760×	`*-un-lft-identity`
1634×	`add-cube-cbrt`
1610×	`add-cbrt-cube`
198×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	61
1	212	37
2	2453	37

Stop Event

1×	node limit

Counts

3 → 58

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 x) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 x) (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (cbrt.f64 (pow.f64 (log.f64 x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (log.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 x)) (*.f64 (sqrt.f64 (log.f64 x)) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (log.f64 x) 4)) (pow.f64 (cbrt.f64 (log.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 x) (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 x) (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (log.f64 x) 4)) 1) (pow.f64 (cbrt.f64 (log.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (log.f64 x) 4)) (cbrt.f64 (log.f64 x))) (cbrt.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (log.f64 x) 4)) (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 x) 4)))) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 x (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (log.f64 x) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (log.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (log.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (log.f64 x) 2)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 (log.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 x)) (pow.f64 (log.f64 x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 x) 1/6) (*.f64 (pow.f64 (log.f64 x) 1/6) (cbrt.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 x))) 2) (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 x) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 x))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (log.f64 x))) (cbrt.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 x) 4))) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 x))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (pow.f64 (cbrt.f64 (log.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (log.f64 x) 4)) 1/3) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 x) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 x) 2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 x))) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (pow.f64 (log.f64 x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (log.f64 x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (log.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (log.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (log.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (log.f64 x))))))))

simplify77.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1234×	`associate-+r-`
984×	`+-commutative`
940×	`fma-def`
674×	`*-commutative`
616×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	136	1476
1	290	1384
2	859	1384
3	2663	1384
4	7594	1384

Stop Event

1×	node limit

Counts

90 → 70

Calls

Call 1

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

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 x))
	0.5b	(cbrt.f64 (log.f64 x))
	0.6b	(cbrt.f64 x)
✓	0.7b	(pow.f64 (*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 x)) 3)

Compiler

Compiled 24 to 8 computations (66.7% saved)

series2.0ms (0.1%)

Counts

2 → 0

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(pow.f64 (*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 x)) 3)
1.0ms	x	@	0	(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	@	-inf	(*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 x))
0.0ms	x	@	0	(*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 x))

rewrite85.0ms (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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (log.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 x)) (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (log.f64 x))) (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (log.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((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)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 x)) (*.f64 (sqrt.f64 (log.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (sqrt.f64 (*.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((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)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (*.f64 (cbrt.f64 (log.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) (cbrt.f64 (*.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 x) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) (cbrt.f64 (log.f64 x))) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) (cbrt.f64 x)) (cbrt.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) 1) (cbrt.f64 (*.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((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)))))))) (#(struct:change #<rule egg-rr> (2) ((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)))))))) (#(struct:change #<rule egg-rr> (2) ((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))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) 2) 3) (cbrt.f64 (*.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (-.f64 (pow.f64 x x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (log.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 x x) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 x (log.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (log.f64 x)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 x (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 x (log.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 x (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 x (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 x (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 x (log.f64 x)))))))))

simplify63.0ms (1.5%)

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)))

localize15.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 x (pow.f64 (log.f64 x) 2))
✓	0.3b	(.f64 (sqrt.f64 (.f64 x (pow.f64 (log.f64 x) 2))) (sqrt.f64 x))
✓	0.4b	(sqrt.f64 (*.f64 x (pow.f64 (log.f64 x) 2)))
	0.5b	(pow.f64 (log.f64 x) 2)

Compiler

Compiled 34 to 18 computations (47.1% saved)

series4.0ms (0.1%)

Counts

3 → 24

Calls

9 calls:

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

rewrite75.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1828×	`add-sqr-sqrt`
1814×	`*-un-lft-identity`
1678×	`add-cube-cbrt`
1654×	`add-cbrt-cube`
200×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	65
1	217	43
2	2469	43

Stop Event

1×	node limit

Counts

3 → 55

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (log.f64 x) (sqrt.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 x) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 x) (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (log.f64 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (log.f64 x) (sqrt.f64 x))) (sqrt.f64 (*.f64 (log.f64 x) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 1/4) (*.f64 (pow.f64 x 1/4) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (log.f64 x) (sqrt.f64 x))) (cbrt.f64 (*.f64 x (pow.f64 (log.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (pow.f64 (log.f64 x) 2))) (cbrt.f64 (*.f64 (log.f64 x) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (sqrt.f64 x)) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (pow.f64 (log.f64 x) 2))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 x (pow.f64 (log.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (*.f64 (log.f64 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (pow.f64 (log.f64 x) 2))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 x (pow.f64 (log.f64 x) 2))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (pow.f64 (log.f64 x) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (log.f64 x) (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (log.f64 x) (sqrt.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (log.f64 x) (sqrt.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (log.f64 x) (sqrt.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (log.f64 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (log.f64 x) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (log.f64 x) (sqrt.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (log.f64 x) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (log.f64 x) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (pow.f64 (log.f64 x) 2))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 x) (sqrt.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (log.f64 x) (sqrt.f64 x))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (log.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (log.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (log.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (log.f64 x))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (pow.f64 (log.f64 x) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (pow.f64 (log.f64 x) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (log.f64 x) (sqrt.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (pow.f64 (log.f64 x) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (log.f64 x) 4) (*.f64 x x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (pow.f64 (log.f64 x) 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (log.f64 x) 4) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 x (log.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (pow.f64 (log.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (pow.f64 (log.f64 x) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (pow.f64 (log.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (pow.f64 (log.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (pow.f64 (log.f64 x) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (pow.f64 (log.f64 x) 2))))))))

simplify67.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1694×	`associate-+l+`
918×	`unswap-sqr`
490×	`distribute-lft-neg-in`
464×	`*-commutative`
460×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	139	1555
1	317	1471
2	1209	1427
3	4260	1427

Stop Event

1×	node limit

Counts

79 → 75

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

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

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 (cbrt.f64 x) (log.f64 x))
✓	0.4b	(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (log.f64 x)))
✓	0.5b	(pow.f64 (cbrt.f64 x) 2)
	0.6b	(cbrt.f64 x)

Compiler

Compiled 26 to 10 computations (61.5% saved)

series10.0ms (0.2%)

Counts

3 → 12

Calls

9 calls:

Time	Variable		Point	Expression
6.0ms	x	@	-inf	(*.f64 (cbrt.f64 x) (log.f64 x))
1.0ms	x	@	-inf	(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (log.f64 x)))
1.0ms	x	@	-inf	(pow.f64 (cbrt.f64 x) 2)
0.0ms	x	@	inf	(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (log.f64 x)))
0.0ms	x	@	0	(pow.f64 (cbrt.f64 x) 2)

rewrite60.0ms (1.5%)

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	37
1	196	37
2	2233	37

Stop Event

1×	node limit

Counts

3 → 44

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 x) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 1/6) (*.f64 (pow.f64 x 1/6) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (pow.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (*.f64 x (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 x) 2)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (log.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (log.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (log.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (log.f64 x))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (cbrt.f64 x) (log.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cbrt.f64 x) (log.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (cbrt.f64 x) (log.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 x) (log.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (pow.f64 (log.f64 x) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (cbrt.f64 x) (log.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 x (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (-.f64 (pow.f64 x (cbrt.f64 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 x (pow.f64 (log.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cbrt.f64 x) (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (cbrt.f64 x) (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (cbrt.f64 x) (log.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 x (cbrt.f64 x)) 1))))))

simplify54.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1014×	`associate-r`
930×	`associate-l`
892×	`fma-def`
738×	`log-prod`
714×	`associate-+r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	112	738
1	229	738
2	642	738
3	3412	738

Stop Event

1×	node limit

Counts

56 → 51

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 (exp.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 (+.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 (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))
(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 (exp.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))

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (log.f64 x) (sqrt.f64 (.f64 x (cbrt.f64 x))))
✓	0.3b	(.f64 (.f64 (log.f64 x) (sqrt.f64 (*.f64 x (cbrt.f64 x)))) (cbrt.f64 x))
	0.6b	(cbrt.f64 x)
✓	14.5b	(sqrt.f64 (*.f64 x (cbrt.f64 x)))

Compiler

Compiled 34 to 7 computations (79.4% saved)

series22.0ms (0.5%)

Counts

3 → 12

Calls

9 calls:

Time	Variable		Point	Expression
17.0ms	x	@	0	(sqrt.f64 (*.f64 x (cbrt.f64 x)))
1.0ms	x	@	-inf	(.f64 (.f64 (log.f64 x) (sqrt.f64 (*.f64 x (cbrt.f64 x)))) (cbrt.f64 x))
1.0ms	x	@	-inf	(.f64 (log.f64 x) (sqrt.f64 (.f64 x (cbrt.f64 x))))
1.0ms	x	@	-inf	(sqrt.f64 (*.f64 x (cbrt.f64 x)))
0.0ms	x	@	0	(.f64 (log.f64 x) (sqrt.f64 (.f64 x (cbrt.f64 x))))

rewrite67.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1704×	`add-sqr-sqrt`
1682×	`*-un-lft-identity`
1566×	`add-cube-cbrt`
1538×	`add-cbrt-cube`
188×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	75
1	192	43
2	2386	43

Stop Event

1×	node limit

Counts

3 → 54

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 x) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 1/6) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 1/6) (*.f64 (pow.f64 x 1/6) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (pow.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (*.f64 x (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (cbrt.f64 x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x x) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (cbrt.f64 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 x) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 x) 2)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (log.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (log.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (-.f64 (pow.f64 x x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (log.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 x x) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (log.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (log.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cbrt.f64 x) (sqrt.f64 (log.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (log.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (log.f64 x) 3) (*.f64 x x)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 x (cbrt.f64 x)) (pow.f64 (log.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 x (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (-.f64 (pow.f64 x (pow.f64 (cbrt.f64 x) 2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (log.f64 x) 3) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (log.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 x (pow.f64 (cbrt.f64 x) 2)) 1))))))

simplify56.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1320×	`associate-r`
1216×	`associate-l`
826×	`associate-+r+`
652×	`associate-+l+`
498×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	134	1202
1	291	1126
2	906	1094
3	4728	1094

Stop Event

1×	node limit

Counts

66 → 70

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

eval107.0ms (2.6%)

Compiler: Compiled 6847 to 2945 computations (57% saved)

prune141.0ms (3.4%)

Pruning

15 alts after pruning (4 fresh and 11 done)

	Pruned	Kept	Total
New	537	2	539
Fresh	0	2	2
Picked	0	1	1
Done	1	10	11
Total	538	15	553

Error

Counts

553 → 15

Alt Table

Click to see full alt table

Status	Error	Program
	37.7b	(pow.f64 (*.f64 (pow.f64 (log.f64 x) 1/3) (cbrt.f64 x)) 3)
✓	1.6b	(pow.f64 (*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 x)) 3)
✓	37.2b	(pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 2)
✓	1.4b	(pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3)
✓	1.4b	(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (log.f64 x)))
	0.7b	(.f64 (.f64 (pow.f64 x 1/4) (*.f64 (pow.f64 x 1/4) (log.f64 x))) (sqrt.f64 x))
✓	15.3b	(.f64 (.f64 (log.f64 x) (sqrt.f64 (*.f64 x (cbrt.f64 x)))) (cbrt.f64 x))
✓	0.6b	(.f64 (.f64 (log.f64 x) (sqrt.f64 x)) (sqrt.f64 x))
✓	30.6b	(.f64 (.f64 (log.f64 x) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x))
	1.1b	(.f64 (.f64 x (pow.f64 (pow.f64 (log.f64 x) 2) 1/3)) (cbrt.f64 (log.f64 x)))
✓	37.2b	(.f64 (.f64 x (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)))
✓	0.7b	(.f64 (.f64 x (cbrt.f64 (pow.f64 (log.f64 x) 2))) (cbrt.f64 (log.f64 x)))
	30.2b	(.f64 (cbrt.f64 (.f64 x (*.f64 x (pow.f64 (log.f64 x) 3)))) (cbrt.f64 x))
✓	0.2b	(*.f64 x (log.f64 x))
✓	41.6b	(cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3))

Compiler

Compiled 153 to 103 computations (32.7% saved)

regimes51.0ms (1.2%)

Accuracy

Total -56.1b remaining (-27113.6%)

Threshold costs -56.1b (-27113.6%)

Counts

21 → 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 (.f64 (log.f64 x) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x))
(pow.f64 (*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 x)) 3)
(.f64 (.f64 x (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)))
(pow.f64 (*.f64 (pow.f64 (log.f64 x) 1/3) (cbrt.f64 x)) 3)
(.f64 (sqrt.f64 (.f64 x (pow.f64 (log.f64 x) 2))) (sqrt.f64 x))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (log.f64 x)))
(.f64 (.f64 (log.f64 x) (sqrt.f64 (*.f64 x (cbrt.f64 x)))) (cbrt.f64 x))
(.f64 (cbrt.f64 (.f64 x (*.f64 x (pow.f64 (log.f64 x) 3)))) (cbrt.f64 x))
(.f64 (.f64 (pow.f64 x 1/4) (*.f64 (pow.f64 x 1/4) (log.f64 x))) (sqrt.f64 x))
(.f64 (.f64 x (cbrt.f64 (pow.f64 (log.f64 x) 2))) (cbrt.f64 (log.f64 x)))
(.f64 (.f64 x (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x)))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (*.f64 x (log.f64 x)))))
(.f64 (.f64 x (pow.f64 (pow.f64 (log.f64 x) 2) 1/3)) (cbrt.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)))))
(pow.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (log.f64 x)))) 2) (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x))))) 3)
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (log.f64 x)))) 2) (.f64 (cbrt.f64 (cbrt.f64 (.f64 x (log.f64 x)))) (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2)))

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

Calls

2 calls:

36.0ms	x
9.0ms	(*.f64 x (log.f64 x))

Results

Error	Segments	Branch
0.2b	1	`x`
0.2b	1	`(*.f64 x (log.f64 x))`

Compiler

Compiled 237 to 94 computations (60.3% 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%)

end26.0ms (0.6%)

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

Details

analyze3.0ms (0.1%)

sample1.2s (29%)

preprocess4.0ms (0.1%)

simplify43.0ms (1%)

eval0.0ms (0%)

prune1.0ms (0%)

localize5.0ms (0.1%)

series87.0ms (2.1%)

rewrite53.0ms (1.3%)

simplify49.0ms (1.2%)

eval2.0ms (0.1%)

prune3.0ms (0.1%)

localize10.0ms (0.2%)

series5.0ms (0.1%)

rewrite56.0ms (1.4%)

simplify60.0ms (1.5%)

localize9.0ms (0.2%)

series5.0ms (0.1%)

rewrite55.0ms (1.3%)

simplify49.0ms (1.2%)

localize25.0ms (0.6%)

series7.0ms (0.2%)

rewrite62.0ms (1.5%)

simplify48.0ms (1.2%)

eval39.0ms (1%)

prune35.0ms (0.8%)

localize7.0ms (0.2%)

series4.0ms (0.1%)

rewrite77.0ms (1.9%)

simplify47.0ms (1.1%)

localize11.0ms (0.3%)

series8.0ms (0.2%)

rewrite94.0ms (2.3%)

simplify57.0ms (1.4%)

localize25.0ms (0.6%)

series3.0ms (0.1%)

rewrite70.0ms (1.7%)

simplify49.0ms (1.2%)

localize12.0ms (0.3%)

series14.0ms (0.3%)

rewrite121.0ms (2.9%)

simplify62.0ms (1.5%)

localize15.0ms (0.4%)

series62.0ms (1.5%)

rewrite57.0ms (1.4%)

simplify58.0ms (1.4%)

eval125.0ms (3%)

prune103.0ms (2.5%)

localize17.0ms (0.4%)

series33.0ms (0.8%)

rewrite64.0ms (1.5%)

simplify77.0ms (1.9%)

localize11.0ms (0.3%)

series2.0ms (0.1%)

rewrite85.0ms (2%)

simplify63.0ms (1.5%)

localize15.0ms (0.4%)

series4.0ms (0.1%)

rewrite75.0ms (1.8%)

simplify67.0ms (1.6%)

localize13.0ms (0.3%)

series10.0ms (0.2%)

rewrite60.0ms (1.5%)

simplify54.0ms (1.3%)

localize13.0ms (0.3%)

series22.0ms (0.5%)

rewrite67.0ms (1.6%)

simplify56.0ms (1.3%)

eval107.0ms (2.6%)

prune141.0ms (3.4%)

regimes51.0ms (1.2%)

simplify3.0ms (0.1%)

soundness0.0ms (0%)

end26.0ms (0.6%)

Profiling