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)

sample880.0ms (20%)

Results

868.0ms	8256×	body	256	valid
0.0ms	7×	body	256	invalid
0.0ms	2×	body	256	infinite

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)

simplify11.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	11
1	7	11

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.42%

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.42%	(*.f64 x (log.f64 x))

Compiler

Compiled 5 to 3 computations (40% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.42%	(*.f64 x (log.f64 x))

Compiler

Compiled 8 to 3 computations (62.5% saved)

series65.0ms (1.5%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
41.0ms	x	@	0	(*.f64 x (log.f64 x))
14.0ms	x	@	-inf	(*.f64 x (log.f64 x))
10.0ms	x	@	inf	(*.f64 x (log.f64 x))

rewrite47.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

Outputs
((#(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))))))

simplify52.0ms (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)

prune4.0ms (0.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	13	4	17
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	13	5	18

Error

0.28%

Counts

18 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	52.04%	(pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 2)
▶	2.19%	(pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3)
✓	0.42%	(*.f64 x (log.f64 x))
▶	0.42%	(.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x))
▶	62.4%	(cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3))

Compiler

Compiled 38 to 28 computations (26.3% saved)

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.4%	(pow.f64 (*.f64 x (log.f64 x)) 3)
	0.42%	(*.f64 x (log.f64 x))
✓	60.4%	(cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3))

Compiler

Compiled 22 to 9 computations (59.1% saved)

series4.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3))
1.0ms	x	@	-inf	(pow.f64 (*.f64 x (log.f64 x)) 3)
0.0ms	x	@	inf	(pow.f64 (*.f64 x (log.f64 x)) 3)
0.0ms	x	@	0	(pow.f64 (*.f64 x (log.f64 x)) 3)
0.0ms	x	@	0	(cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3))

rewrite57.0ms (1.3%)

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)))))))

simplify64.0ms (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)

localize13.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.01%	(log.f64 (/.f64 1 x))
✓	0.42%	(*.f64 (log.f64 (/.f64 1 x)) x)

Compiler

Compiled 25 to 18 computations (28% saved)

series120.0ms (2.7%)

Counts

2 → 16

Calls

6 calls:

Time	Variable		Point	Expression
117.0ms	x	@	-inf	(*.f64 (log.f64 (/.f64 1 x)) x)
3.0ms	x	@	0	(*.f64 (log.f64 (/.f64 1 x)) x)
0.0ms	x	@	inf	(*.f64 (log.f64 (/.f64 1 x)) x)
0.0ms	x	@	0	(log.f64 (/.f64 1 x))
0.0ms	x	@	-inf	(log.f64 (/.f64 1 x))

rewrite255.0ms (5.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1374×	`add-sqr-sqrt`
1358×	`*-un-lft-identity`
1258×	`add-cube-cbrt`
1240×	`add-cbrt-cube`
1224×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	24
1	154	24
2	1759	24

Stop Event

1×	node limit

Counts

2 → 38

Calls

Call 1

Inputs
(*.f64 (log.f64 (/.f64 1 x)) x)
(log.f64 (/.f64 1 x))

Outputs

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

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

simplify56.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

814×	`*-commutative`
714×	`unswap-sqr`
628×	`distribute-lft-in`
576×	`distribute-rgt-in`
564×	`associate-/l*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	94	816
1	218	816
2	1021	816
3	5098	816

Stop Event

1×	node limit

Counts

54 → 50

Calls

Call 1

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

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

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.42%	(*.f64 x (log.f64 x))
✓	0.96%	(cbrt.f64 (*.f64 x (log.f64 x)))
✓	1.15%	(pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3)

Compiler

Compiled 21 to 7 computations (66.7% saved)

series3.0ms (0.1%)

Counts

2 → 0

Calls

6 calls:

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

rewrite75.0ms (1.7%)

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)))))))))

simplify61.0ms (1.4%)

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)))

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.12%	(sqrt.f64 (*.f64 x (log.f64 x)))
✓	0.39%	(pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 2)
	0.42%	(*.f64 x (log.f64 x))

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

rewrite78.0ms (1.8%)

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)))))))))

simplify86.0ms (1.9%)

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)))

eval100.0ms (2.3%)

Compiler: Compiled 3092 to 1373 computations (55.6% saved)

prune50.0ms (1.1%)

Pruning

19 alts after pruning (14 fresh and 5 done)

	Pruned	Kept	Total
New	285	14	299
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	285	19	304

Error

0.01%

Counts

304 → 19

Alt Table

Click to see full alt table

Status	Error	Program
▶	52.13%	(pow.f64 (*.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 x)) 2)
✓	52.04%	(pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 2)
✓	2.19%	(pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3)
	52.02%	(.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)))))
	1.9%	(.f64 (pow.f64 (cbrt.f64 (.f64 x (log.f64 x))) 2) (*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 x)))
	2.09%	(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (log.f64 x)))
	2.11%	(.f64 (.f64 (log.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
▶	0.86%	(.f64 (.f64 (log.f64 x) (sqrt.f64 x)) (sqrt.f64 x))
▶	51.96%	(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (*.f64 x (log.f64 x)))))
	47.44%	(.f64 (log.f64 x) (.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x)))
	47.41%	(.f64 (cbrt.f64 (.f64 x x)) (*.f64 (log.f64 x) (cbrt.f64 x)))
	1.86%	(.f64 (cbrt.f64 x) (.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) (cbrt.f64 (log.f64 x))))
✓	0.42%	(*.f64 x (log.f64 x))
▶	48.9%	(.f64 -1 (pow.f64 (sqrt.f64 (.f64 x (neg.f64 (log.f64 x)))) 2))
	1.88%	(.f64 -1 (.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 x))) 3) x))
✓	0.42%	(.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x))
▶	49.25%	(.f64 -1 (.f64 (expm1.f64 (log1p.f64 (neg.f64 (log.f64 x)))) x))
	0.94%	(.f64 -1 (.f64 (cbrt.f64 (pow.f64 (neg.f64 (log.f64 x)) 3)) x))
✓	62.4%	(cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3))

Compiler

Compiled 374 to 254 computations (32.1% saved)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.54%	(*.f64 (log.f64 x) (sqrt.f64 x))
✓	0.55%	(.f64 (.f64 (log.f64 x) (sqrt.f64 x)) (sqrt.f64 x))

Compiler

Compiled 19 to 5 computations (73.7% saved)

series3.0ms (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))
0.0ms	x	@	inf	(*.f64 (log.f64 x) (sqrt.f64 x))
0.0ms	x	@	0	(*.f64 (log.f64 x) (sqrt.f64 x))
0.0ms	x	@	inf	(.f64 (.f64 (log.f64 x) (sqrt.f64 x)) (sqrt.f64 x))

rewrite53.0ms (1.2%)

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

simplify54.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1200×	`log-prod`
1160×	`associate-r`
1104×	`fma-def`
1006×	`associate-l`
704×	`associate-+r+`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	73	582
1	176	522
2	671	462
3	3824	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 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))
(-.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))

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

localize12.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.02%	(log1p.f64 (neg.f64 (log.f64 x)))
✓	0.2%	(*.f64 (expm1.f64 (log1p.f64 (neg.f64 (log.f64 x)))) x)
✓	0.83%	(expm1.f64 (log1p.f64 (neg.f64 (log.f64 x))))

Compiler

Compiled 33 to 9 computations (72.7% saved)

series55.0ms (1.3%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
27.0ms	x	@	inf	(log1p.f64 (neg.f64 (log.f64 x)))
15.0ms	x	@	-inf	(log1p.f64 (neg.f64 (log.f64 x)))
13.0ms	x	@	0	(log1p.f64 (neg.f64 (log.f64 x)))
0.0ms	x	@	0	(*.f64 (expm1.f64 (log1p.f64 (neg.f64 (log.f64 x)))) x)
0.0ms	x	@	inf	(*.f64 (expm1.f64 (log1p.f64 (neg.f64 (log.f64 x)))) x)

rewrite82.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1290×	`add-sqr-sqrt`
1278×	`*-un-lft-identity`
1184×	`add-cube-cbrt`
1166×	`add-cbrt-cube`
1150×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	37
1	176	25
2	1939	25

Stop Event

1×	node limit

Counts

3 → 60

Calls

Call 1

Inputs
(expm1.f64 (log1p.f64 (neg.f64 (log.f64 x))))
(*.f64 (expm1.f64 (log1p.f64 (neg.f64 (log.f64 x)))) x)
(log1p.f64 (neg.f64 (log.f64 x)))

Outputs

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

simplify55.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1144×	`associate-/l*`
1066×	`fma-def`
1044×	`distribute-lft-in`
1032×	`unswap-sqr`
854×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	140	1576
1	343	1274
2	1715	1160

Stop Event

1×	node limit

Counts

96 → 97

Calls

Call 1

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

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

localize33.0ms (0.8%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1%	(sqrt.f64 (*.f64 x (neg.f64 (log.f64 x))))
✓	0.4%	(pow.f64 (sqrt.f64 (*.f64 x (neg.f64 (log.f64 x)))) 2)
✓	0.42%	(*.f64 x (neg.f64 (log.f64 x)))

Compiler

Compiled 38 to 13 computations (65.8% saved)

series5.0ms (0.1%)

Counts

3 → 12

Calls

9 calls:

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

rewrite76.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1440×	`add-sqr-sqrt`
1420×	`*-un-lft-identity`
1324×	`add-cube-cbrt`
1308×	`add-cbrt-cube`
1292×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	49
1	205	37
2	2210	37

Stop Event

1×	node limit

Counts

3 → 73

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 x (log.f64 x)))))) (#(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)) 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 neg.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 0 (*.f64 x (log.f64 x)))))) (#(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 (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 (log.f64 x)) (*.f64 (sqrt.f64 (log.f64 x)) 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 (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 x) 2) (*.f64 (cbrt.f64 x) (log.f64 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 -1 (*.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 x -1) (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 *.f64 (neg.f64 x) (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x neg.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 (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 (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 (log.f64 x)) (sqrt.f64 x))))) (#(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 (sqrt.f64 (*.f64 x (log.f64 x)))) (cbrt.f64 (*.f64 x (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 (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 exp.f64 (*.f64 (log.f64 (*.f64 x (log.f64 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (log.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 x (log.f64 x)))))))))

simplify79.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1510×	`fma-def`
690×	`*-commutative`
600×	`log-prod`
550×	`associate-/r*`
478×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	135	1903
1	283	1543
2	1140	1183
3	3098	1183
4	6328	1183

Stop Event

1×	node limit

Counts

85 → 75

Calls

Call 1

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

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

localize15.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.08%	(sqrt.f64 (log.f64 x))
✓	0.22%	(*.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 x))
✓	0.39%	(pow.f64 (*.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 x)) 2)

Compiler

Compiled 24 to 8 computations (66.7% saved)

series2.0ms (0.1%)

Counts

3 → 8

Calls

9 calls:

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

rewrite88.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 66

Calls

Call 1

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

Outputs

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

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

simplify61.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

74 → 79

Calls

Call 1

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

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

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.12%	(sqrt.f64 (*.f64 x (log.f64 x)))
✓	0.26%	(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (*.f64 x (log.f64 x)))))
✓	0.28%	(.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (.f64 x (log.f64 x))))
	0.42%	(*.f64 x (log.f64 x))

Compiler

Compiled 39 to 8 computations (79.5% saved)

series1.0ms (0%)

Counts

2 → 12

Calls

6 calls:

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

rewrite77.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1726×	`add-sqr-sqrt`
1716×	`*-un-lft-identity`
1588×	`add-cube-cbrt`
1554×	`add-cbrt-cube`
186×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	36
1	214	26
2	2304	26

Stop Event

1×	node limit

Counts

2 → 28

Calls

Call 1

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

Outputs

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

simplify48.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1394×	`associate-r`
1230×	`associate-l`
874×	`associate-+r+`
664×	`associate-+l+`
464×	`distribute-lft-neg-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	80	508
1	184	508
2	667	508
3	4527	504

Stop Event

1×	node limit

Counts

40 → 35

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

eval64.0ms (1.5%)

Compiler: Compiled 4110 to 1892 computations (54% saved)

prune306.0ms (6.9%)

Pruning

20 alts after pruning (11 fresh and 9 done)

	Pruned	Kept	Total
New	361	3	364
Fresh	1	8	9
Picked	1	0	1
Done	0	9	9
Total	363	20	383

Error

0.01%

Counts

383 → 20

Alt Table

Click to see full alt table

Status	Error	Program
✓	52.13%	(pow.f64 (*.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 x)) 2)
✓	52.04%	(pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 2)
✓	2.19%	(pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3)
▶	52.14%	(.f64 (pow.f64 (sqrt.f64 (.f64 (log.f64 x) (sqrt.f64 x))) 2) (sqrt.f64 x))
	1.9%	(.f64 (pow.f64 (cbrt.f64 (.f64 x (log.f64 x))) 2) (*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 x)))
	2.09%	(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (log.f64 x)))
▶	2.11%	(.f64 (.f64 (log.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
✓	0.86%	(.f64 (.f64 (log.f64 x) (sqrt.f64 x)) (sqrt.f64 x))
	50.03%	(.f64 (sqrt.f64 (.f64 x (pow.f64 (log.f64 x) 2))) (sqrt.f64 x))
	52.11%	(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 (log.f64 x)) (*.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 x))))
▶	47.44%	(.f64 (log.f64 x) (.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x)))
	47.41%	(.f64 (cbrt.f64 (.f64 x x)) (*.f64 (log.f64 x) (cbrt.f64 x)))
	1.86%	(.f64 (cbrt.f64 x) (.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) (cbrt.f64 (log.f64 x))))
✓	0.42%	(*.f64 x (log.f64 x))
✓	48.9%	(.f64 -1 (pow.f64 (sqrt.f64 (.f64 x (neg.f64 (log.f64 x)))) 2))
▶	1.88%	(.f64 -1 (.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 x))) 3) x))
✓	0.42%	(.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x))
✓	49.25%	(.f64 -1 (.f64 (expm1.f64 (log1p.f64 (neg.f64 (log.f64 x)))) x))
▶	0.94%	(.f64 -1 (.f64 (cbrt.f64 (pow.f64 (neg.f64 (log.f64 x)) 3)) x))
✓	62.4%	(cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3))

Compiler

Compiled 343 to 235 computations (31.5% saved)

localize43.0ms (1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.42%	(*.f64 (cbrt.f64 (pow.f64 (neg.f64 (log.f64 x)) 3)) x)
✓	0.82%	(cbrt.f64 (pow.f64 (neg.f64 (log.f64 x)) 3))
✓	1.11%	(pow.f64 (neg.f64 (log.f64 x)) 3)

Compiler

Compiled 38 to 20 computations (47.4% saved)

series4.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite65.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1490×	`add-sqr-sqrt`
1458×	`*-un-lft-identity`
1378×	`add-cube-cbrt`
1360×	`add-cbrt-cube`
1342×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	39
1	209	27
2	2292	27

Stop Event

1×	node limit

Counts

3 → 73

Calls

Call 1

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

Outputs

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

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

simplify74.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1586×	`associate-/l*`
1094×	`distribute-lft-in`
1000×	`distribute-rgt-in`
866×	`*-commutative`
810×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	163	1927
1	379	1703
2	1904	1517

Stop Event

1×	node limit

Counts

109 → 106

Calls

Call 1

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

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

localize16.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.42%	(*.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 x))) 3) x)
✓	0.77%	(cbrt.f64 (neg.f64 (log.f64 x)))
✓	1.09%	(pow.f64 (cbrt.f64 (neg.f64 (log.f64 x))) 3)

Compiler

Compiled 37 to 16 computations (56.8% saved)

series11.0ms (0.2%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
4.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (neg.f64 (log.f64 x))) 3)
2.0ms	x	@	0	(pow.f64 (cbrt.f64 (neg.f64 (log.f64 x))) 3)
2.0ms	x	@	inf	(pow.f64 (cbrt.f64 (neg.f64 (log.f64 x))) 3)
1.0ms	x	@	0	(*.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 x))) 3) x)
1.0ms	x	@	-inf	(*.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 x))) 3) x)

rewrite63.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1494×	`add-sqr-sqrt`
1462×	`*-un-lft-identity`
1382×	`add-cube-cbrt`
1364×	`add-cbrt-cube`
1346×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	37
1	205	25
2	2260	25

Stop Event

1×	node limit

Counts

3 → 71

Calls

Call 1

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

Outputs

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

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

((#(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 neg.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))))))

simplify74.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

830×	`distribute-lft-neg-in`
752×	`distribute-rgt-neg-in`
610×	`*-commutative`
596×	`fma-def`
558×	`associate--r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	169	1803
1	408	1579
2	1564	1361
3	4989	1361

Stop Event

1×	node limit

Counts

107 → 107

Calls

Call 1

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

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

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.42%	(.f64 (log.f64 x) (.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x)))
✓	0.45%	(.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 x))
✓	0.86%	(cbrt.f64 x)
✓	46.54%	(cbrt.f64 (*.f64 x x))

Compiler

Compiled 30 to 7 computations (76.7% saved)

series6.0ms (0.1%)

Counts

4 → 24

Calls

12 calls:

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

rewrite62.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1488×	`add-sqr-sqrt`
1470×	`*-un-lft-identity`
1366×	`add-cube-cbrt`
1344×	`add-cbrt-cube`
1332×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	28
1	190	28
2	2026	28

Stop Event

1×	node limit

Counts

4 → 76

Calls

Call 1

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

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

simplify70.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1152×	`associate--r+`
1098×	`associate-/l*`
664×	`*-commutative`
654×	`associate-/r*`
588×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	158	1548
1	331	1288
2	1484	1036
3	5560	1036

Stop Event

1×	node limit

Counts

100 → 99

Calls

Call 1

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

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.51%	(*.f64 (log.f64 x) (pow.f64 (cbrt.f64 x) 2))
✓	0.53%	(.f64 (.f64 (log.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
✓	0.84%	(pow.f64 (cbrt.f64 x) 2)
	0.86%	(cbrt.f64 x)

Compiler

Compiled 28 to 13 computations (53.6% saved)

series4.0ms (0.1%)

Counts

3 → 12

Calls

9 calls:

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

rewrite67.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 44

Calls

Call 1

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

Outputs

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

simplify57.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

56 → 55

Calls

Call 1

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

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

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.08%	(sqrt.f64 (*.f64 (log.f64 x) (sqrt.f64 x)))
✓	0.26%	(.f64 (pow.f64 (sqrt.f64 (.f64 (log.f64 x) (sqrt.f64 x))) 2) (sqrt.f64 x))
✓	0.33%	(pow.f64 (sqrt.f64 (*.f64 (log.f64 x) (sqrt.f64 x))) 2)
	0.54%	(*.f64 (log.f64 x) (sqrt.f64 x))

Compiler

Compiled 37 to 11 computations (70.3% saved)

series6.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite63.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1692×	`add-sqr-sqrt`
1674×	`*-un-lft-identity`
1550×	`add-cube-cbrt`
1528×	`add-cbrt-cube`
184×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	59
1	218	45
2	2235	45

Stop Event

1×	node limit

Counts

3 → 68

Calls

Call 1

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

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

simplify74.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

978×	`unswap-sqr`
714×	`distribute-lft-neg-in`
682×	`*-commutative`
630×	`distribute-rgt-neg-in`
568×	`distribute-lft-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	172	2342
1	371	2250
2	1420	2234
3	5057	2112

Stop Event

1×	node limit

Counts

104 → 99

Calls

Call 1

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

Outputs
(*.f64 (sqrt.f64 x) (log.f64 x))
(*.f64 (sqrt.f64 x) (log.f64 x))
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(sqrt.f64 (*.f64 (sqrt.f64 x) (log.f64 x)))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (log.f64 x) (sqrt.f64 x)))))
(sqrt.f64 (*.f64 (sqrt.f64 x) (log.f64 x)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (log.f64 x) (sqrt.f64 x)))) 1))
(sqrt.f64 (*.f64 (sqrt.f64 x) (log.f64 x)))
(exp.f64 (.f64 (log.f64 (.f64 (log.f64 x) (sqrt.f64 x))) 1/2))
(sqrt.f64 (*.f64 (sqrt.f64 x) (log.f64 x)))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (log.f64 x) (sqrt.f64 x)))))
(sqrt.f64 (*.f64 (sqrt.f64 x) (log.f64 x)))

eval111.0ms (2.5%)

Compiler: Compiled 6612 to 3313 computations (49.9% saved)

prune115.0ms (2.6%)

Pruning

20 alts after pruning (7 fresh and 13 done)

	Pruned	Kept	Total
New	539	5	544
Fresh	4	2	6
Picked	0	1	1
Done	1	12	13
Total	544	20	564

Error

0.01%

Counts

564 → 20

Alt Table

Click to see full alt table

Status	Error	Program
✓	52.13%	(pow.f64 (*.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 x)) 2)
✓	52.04%	(pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 2)
✓	2.19%	(pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3)
✓	52.14%	(.f64 (pow.f64 (sqrt.f64 (.f64 (log.f64 x) (sqrt.f64 x))) 2) (sqrt.f64 x))
	50.21%	(.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (.f64 x (pow.f64 (log.f64 x) 2)))) 2) (sqrt.f64 x))
✓	2.11%	(.f64 (.f64 (log.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
	1.44%	(.f64 (.f64 (log.f64 x) (*.f64 (cbrt.f64 x) (cbrt.f64 (sqrt.f64 x)))) (sqrt.f64 x))
✓	0.86%	(.f64 (.f64 (log.f64 x) (sqrt.f64 x)) (sqrt.f64 x))
	0.89%	(*.f64 (log.f64 x) (pow.f64 (sqrt.f64 x) 2))
	2.06%	(*.f64 (log.f64 x) (pow.f64 (cbrt.f64 x) 3))
	62.84%	(*.f64 (log.f64 x) (cbrt.f64 (pow.f64 x 3)))
	47.41%	(.f64 (cbrt.f64 (.f64 x x)) (*.f64 (log.f64 x) (cbrt.f64 x)))
	1.86%	(.f64 (cbrt.f64 x) (.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) (cbrt.f64 (log.f64 x))))
✓	0.42%	(*.f64 x (log.f64 x))
✓	48.9%	(.f64 -1 (pow.f64 (sqrt.f64 (.f64 x (neg.f64 (log.f64 x)))) 2))
✓	1.88%	(.f64 -1 (.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 x))) 3) x))
✓	0.42%	(.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x))
✓	49.25%	(.f64 -1 (.f64 (expm1.f64 (log1p.f64 (neg.f64 (log.f64 x)))) x))
✓	0.94%	(.f64 -1 (.f64 (cbrt.f64 (pow.f64 (neg.f64 (log.f64 x)) 3)) x))
✓	62.4%	(cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3))

Compiler

Compiled 199 to 144 computations (27.6% saved)

regimes30.0ms (0.7%)

Accuracy

Total -63.7b remaining (-23994.1%)

Threshold costs -63.7b (-23994.1%)

Counts

27 → 1

Calls

Call 1

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

Outputs
(.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x))

Calls

2 calls:

12.0ms	(*.f64 x (log.f64 x))
12.0ms	x

Results

Error	Segments	Branch
0.42%	1	`x`
0.42%	1	`(*.f64 x (log.f64 x))`

Compiler

Compiled 275 to 118 computations (57.1% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

10×	`*-commutative`
6×	`+-commutative`
6×	`neg-sub0`
4×	`distribute-lft-neg-in`
4×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	32
1	18	32
2	25	32
3	30	32
4	35	32
5	37	32

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x))
(*.f64 x (log.f64 x))

Outputs
(.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x))
(neg.f64 (*.f64 x (log.f64 (/.f64 1 x))))
(*.f64 x (neg.f64 (log.f64 (/.f64 1 x))))
(*.f64 x (log.f64 x))

Compiler

Compiled 13 to 9 computations (30.8% saved)

soundness0.0ms (0%)

end25.0ms (0.6%)

Compiler: Compiled 12 to 8 computations (33.3% saved)

Details

analyze3.0ms (0.1%)

sample880.0ms (20%)

preprocess4.0ms (0.1%)

simplify11.0ms (0.2%)

eval0.0ms (0%)

prune1.0ms (0%)

localize6.0ms (0.1%)

series65.0ms (1.5%)

rewrite47.0ms (1.1%)

simplify52.0ms (1.2%)

eval2.0ms (0.1%)

prune4.0ms (0.1%)

localize10.0ms (0.2%)

series4.0ms (0.1%)

rewrite57.0ms (1.3%)

simplify64.0ms (1.5%)

localize13.0ms (0.3%)

series120.0ms (2.7%)

rewrite255.0ms (5.8%)

simplify56.0ms (1.3%)

localize9.0ms (0.2%)

series3.0ms (0.1%)

rewrite75.0ms (1.7%)

simplify61.0ms (1.4%)

localize9.0ms (0.2%)

series5.0ms (0.1%)

rewrite78.0ms (1.8%)

simplify86.0ms (1.9%)

eval100.0ms (2.3%)

prune50.0ms (1.1%)

localize9.0ms (0.2%)

series3.0ms (0.1%)

rewrite53.0ms (1.2%)

simplify54.0ms (1.2%)

localize12.0ms (0.3%)

series55.0ms (1.3%)

rewrite82.0ms (1.9%)

simplify55.0ms (1.2%)

localize33.0ms (0.8%)

series5.0ms (0.1%)

rewrite76.0ms (1.7%)

simplify79.0ms (1.8%)

localize15.0ms (0.3%)

series2.0ms (0.1%)

rewrite88.0ms (2%)

simplify61.0ms (1.4%)

localize13.0ms (0.3%)

series1.0ms (0%)

rewrite77.0ms (1.7%)

simplify48.0ms (1.1%)

eval64.0ms (1.5%)

prune306.0ms (6.9%)

localize43.0ms (1%)

series4.0ms (0.1%)

rewrite65.0ms (1.5%)

simplify74.0ms (1.7%)

localize16.0ms (0.4%)

series11.0ms (0.2%)

rewrite63.0ms (1.4%)

simplify74.0ms (1.7%)

localize11.0ms (0.3%)

series6.0ms (0.1%)

rewrite62.0ms (1.4%)

simplify70.0ms (1.6%)

localize14.0ms (0.3%)

series4.0ms (0.1%)

rewrite67.0ms (1.5%)

simplify57.0ms (1.3%)

localize12.0ms (0.3%)

series6.0ms (0.1%)

rewrite63.0ms (1.4%)

simplify74.0ms (1.7%)

eval111.0ms (2.5%)

prune115.0ms (2.6%)

regimes30.0ms (0.7%)

simplify4.0ms (0.1%)

soundness0.0ms (0%)

end25.0ms (0.6%)

Profiling