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)

sample826.0ms (19.2%)

Results

793.0ms	8256×	body	256	valid
1.0ms	15×	body	256	invalid
0.0ms	5×	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 (0.3%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	11
1	7	11

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.2b

Counts

2 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 5 to 3 computations (40% saved)

localize34.0ms (0.8%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 8 to 3 computations (62.5% saved)

series48.0ms (1.1%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
27.0ms	x	@	0	(*.f64 x (log.f64 x))
15.0ms	x	@	-inf	(*.f64 x (log.f64 x))
6.0ms	x	@	inf	(*.f64 x (log.f64 x))

rewrite77.0ms (1.8%)

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))))))

simplify47.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

23 → 17

Calls

Call 1

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

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

eval2.0ms (0.1%)

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

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

0.2b

Counts

18 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	35.3b	(pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 2)
▶	1.4b	(pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3)
✓	0.2b	(*.f64 x (log.f64 x))
▶	37.7b	(exp.f64 (log.f64 (*.f64 x (log.f64 x))))
▶	42.5b	(cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3))

Compiler

Compiled 36 to 26 computations (27.8% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.2b	(*.f64 x (log.f64 x))
✓	0.3b	(pow.f64 (*.f64 x (log.f64 x)) 3)
✓	41.0b	(cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3))

Compiler

Compiled 22 to 9 computations (59.1% saved)

series26.0ms (0.6%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
24.0ms	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))

rewrite56.0ms (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)))))))

simplify58.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

81 → 73

Calls

Call 1

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

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

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(log.f64 (*.f64 x (log.f64 x)))
	0.2b	(*.f64 x (log.f64 x))
✓	2.7b	(exp.f64 (log.f64 (*.f64 x (log.f64 x))))

Compiler

Compiled 19 to 5 computations (73.7% saved)

series46.0ms (1.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
24.0ms	x	@	inf	(log.f64 (*.f64 x (log.f64 x)))
12.0ms	x	@	-inf	(log.f64 (*.f64 x (log.f64 x)))
10.0ms	x	@	0	(log.f64 (*.f64 x (log.f64 x)))
0.0ms	x	@	-inf	(exp.f64 (log.f64 (*.f64 x (log.f64 x))))
0.0ms	x	@	0	(exp.f64 (log.f64 (*.f64 x (log.f64 x))))

rewrite84.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1224×	`add-sqr-sqrt`
1214×	`*-un-lft-identity`
1142×	`pow1`
1120×	`add-cube-cbrt`
1102×	`add-cbrt-cube`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	26
1	143	26
2	1537	26

Stop Event

1×	node limit

Counts

2 → 54

Calls

Call 1

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

Outputs

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

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

simplify58.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

788×	`unswap-sqr`
754×	`associate--l+`
688×	`associate-*r/`
630×	`distribute-lft-in`
616×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	132	1438
1	310	1402
2	1173	1386
3	4953	1386

Stop Event

1×	node limit

Counts

78 → 71

Calls

Call 1

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

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

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 21 to 7 computations (66.7% saved)

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

rewrite86.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 55

Calls

Call 1

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

Outputs

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

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

simplify49.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

55 → 66

Calls

Call 1

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

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

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(sqrt.f64 (*.f64 x (log.f64 x)))
✓	0.2b	(pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 2)
	0.2b	(*.f64 x (log.f64 x))

Compiler

Compiled 21 to 7 computations (66.7% saved)

series6.0ms (0.1%)

Counts

2 → 0

Calls

6 calls:

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

rewrite56.0ms (1.3%)

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)))))))))

simplify53.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

50 → 59

Calls

Call 1

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

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

eval95.0ms (2.2%)

Compiler: Compiled 3478 to 1440 computations (58.6% saved)

prune51.0ms (1.2%)

Pruning

19 alts after pruning (14 fresh and 5 done)

	Pruned	Kept	Total
New	323	14	337
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	323	19	342

Error

0.0b

Counts

342 → 19

Alt Table

Click to see full alt table

Status	Error	Program
▶	35.5b	(pow.f64 (pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 1/4) 2) 2)
	2.5b	(pow.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (log.f64 x)))) 2) (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x))))) 3)
	1.7b	(pow.f64 (*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 x)) 3)
✓	35.3b	(pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 2)
✓	1.4b	(pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3)
	35.3b	(.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)))))
	1.3b	(.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (.f64 (cbrt.f64 (log.f64 x)) x))
	1.4b	(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (log.f64 x)))
	1.3b	(.f64 (.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) (cbrt.f64 x)) (cbrt.f64 (log.f64 x)))
	1.4b	(.f64 (.f64 (log.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
▶	0.6b	(.f64 (.f64 (log.f64 x) (sqrt.f64 x)) (sqrt.f64 x))
	32.3b	(.f64 (.f64 (log.f64 x) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x))
▶	35.3b	(.f64 (.f64 x (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)))
▶	32.3b	(.f64 (cbrt.f64 (.f64 x x)) (*.f64 (log.f64 x) (cbrt.f64 x)))
▶	1.3b	(.f64 (cbrt.f64 x) (.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) (cbrt.f64 (log.f64 x))))
✓	0.2b	(*.f64 x (log.f64 x))
✓	37.7b	(exp.f64 (log.f64 (*.f64 x (log.f64 x))))
	42.7b	(cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3) 3))
✓	42.5b	(cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3))

Compiler

Compiled 384 to 246 computations (35.9% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (.f64 (log.f64 x) (sqrt.f64 x)) (sqrt.f64 x))
✓	0.4b	(*.f64 (log.f64 x) (sqrt.f64 x))

Compiler

Compiled 19 to 5 computations (73.7% saved)

series4.0ms (0.1%)

Counts

2 → 12

Calls

6 calls:

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

rewrite61.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 24

Calls

Call 1

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

Outputs

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

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

simplify48.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

36 → 36

Calls

Call 1

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

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

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (cbrt.f64 (.f64 x x)) (*.f64 (log.f64 x) (cbrt.f64 x)))
✓	0.4b	(*.f64 (log.f64 x) (cbrt.f64 x))
✓	0.6b	(cbrt.f64 x)
✓	31.6b	(cbrt.f64 (*.f64 x x))

Compiler

Compiled 28 to 7 computations (75% saved)

series7.0ms (0.2%)

Counts

4 → 12

Calls

12 calls:

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

rewrite90.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 75

Calls

Call 1

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

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

simplify62.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1570×	`associate-+r+`
1342×	`associate-+l+`
782×	`unswap-sqr`
532×	`*-commutative`
428×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	161	1167
1	321	1153
2	1193	1147
3	4039	1147

Stop Event

1×	node limit

Counts

87 → 90

Calls

Call 1

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

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

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (log.f64 x))
✓	0.1b	(*.f64 x (sqrt.f64 (log.f64 x)))
✓	0.2b	(.f64 (.f64 x (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)))

Compiler

Compiled 21 to 5 computations (76.2% saved)

series3.0ms (0.1%)

Counts

3 → 32

Calls

9 calls:

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

rewrite63.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	35
1	153	35
2	1829	35

Stop Event

1×	node limit

Counts

3 → 46

Calls

Call 1

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

Outputs

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

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

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

simplify108.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

78 → 71

Calls

Call 1

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

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

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 (*.f64 x (log.f64 x)) 1/4)
✓	0.2b	(pow.f64 (pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 1/4) 2) 2)
	0.2b	(*.f64 x (log.f64 x))
✓	0.3b	(pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 1/4) 2)

Compiler

Compiled 34 to 17 computations (50% saved)

series35.0ms (0.8%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 1/4) 2)
1.0ms	x	@	inf	(pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 1/4) 2)
1.0ms	x	@	0	(pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 1/4) 2)
0.0ms	x	@	-inf	(pow.f64 (pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 1/4) 2) 2)
0.0ms	x	@	inf	(pow.f64 (pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 1/4) 2) 2)

rewrite67.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1746×	`add-sqr-sqrt`
1722×	`*-un-lft-identity`
1610×	`add-cube-cbrt`
1594×	`add-cbrt-cube`
208×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	57
1	232	43
2	2616	43

Stop Event

1×	node limit

Counts

3 → 82

Calls

Call 1

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

Outputs

((#(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 *.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 (*.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)) 1/8) (*.f64 (pow.f64 (*.f64 x (log.f64 x)) 1/8) (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 (sqrt.f64 (*.f64 x (log.f64 x)))) (*.f64 (cbrt.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 (cbrt.f64 (*.f64 x (log.f64 x))) (cbrt.f64 (sqrt.f64 (*.f64 x (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 1/4) (*.f64 (pow.f64 (log.f64 x) 1/4) (pow.f64 (*.f64 x (log.f64 x)) 1/4)))))) (#(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 (*.f64 (pow.f64 (*.f64 x (log.f64 x)) 1/4) (pow.f64 (*.f64 x (log.f64 x)) 1/8)) (pow.f64 (*.f64 x (log.f64 x)) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x 1/4) (pow.f64 x 1/4)) (*.f64 (pow.f64 (log.f64 x) 1/4) (pow.f64 (log.f64 x) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 x (log.f64 x)) 1/4) (cbrt.f64 (sqrt.f64 (*.f64 x (log.f64 x))))) (cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 x (log.f64 x)) 1/4) (pow.f64 x 1/4)) (pow.f64 (log.f64 x) 1/4))))) (#(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 *.f64 (pow.f64 (pow.f64 x 1/4) 2) (pow.f64 (pow.f64 (log.f64 x) 1/4) 2))))) (#(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 (*.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)))))))))

((#(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 (*.f64 x (log.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (log.f64 x)) 1/4) (pow.f64 (*.f64 x (log.f64 x)) 3/4))))) (#(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 (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 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 (*.f64 x (log.f64 x)) 3/4) (pow.f64 (*.f64 x (log.f64 x)) 1/4))))) (#(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 (*.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 (pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 1/8) 4) (pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 1/8) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (log.f64 x)))) 4) (pow.f64 (cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 1/4)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 x 1/4) 4) (pow.f64 (pow.f64 (log.f64 x) 1/4) 4))))) (#(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 (*.f64 1/4 (log.f64 (*.f64 x (log.f64 x)))) 4))))) (#(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 (pow.f64 (*.f64 x (log.f64 x)) 1/4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (log.f64 x)) 1/4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (*.f64 x (log.f64 x)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (log.f64 x)) 1/8) (pow.f64 (*.f64 x (log.f64 x)) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 1/4)) (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 (pow.f64 (*.f64 x (log.f64 x)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 1/4) (pow.f64 (log.f64 x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 x) 1/4) (pow.f64 x 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (log.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/4) (pow.f64 (*.f64 x (log.f64 x)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 1/4) (pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) 1/4) (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (sqrt.f64 (*.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (pow.f64 (*.f64 x (log.f64 x)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (*.f64 x (log.f64 x)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 x (log.f64 x)) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (*.f64 x (log.f64 x)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 1/4 (log.f64 (*.f64 x (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/4 (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)) 1/4)))))))

simplify87.0ms (2%)

Algorithm

1×	egg-herbie

Rules

770×	`unswap-sqr`
678×	`+-commutative`
580×	`distribute-lft-in`
554×	`*-commutative`
546×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	199	4200
1	436	2728
2	1335	2600
3	4493	2600

Stop Event

1×	node limit

Counts

118 → 111

Calls

Call 1

Inputs
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (log.f64 x)) (log.f64 x)))) 2)
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (log.f64 x)) (log.f64 x)))) 2)
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (log.f64 x)) (log.f64 x)))) 2)
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (log.f64 x)) (log.f64 x)))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (*.f64 -1 (log.f64 (/.f64 1 x))))))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (*.f64 -1 (log.f64 (/.f64 1 x))))))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (*.f64 -1 (log.f64 (/.f64 1 x))))))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (*.f64 -1 (log.f64 (/.f64 1 x))))))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (.f64 -1 (log.f64 (/.f64 -1 x)))))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (.f64 -1 (log.f64 (/.f64 -1 x)))))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (.f64 -1 (log.f64 (/.f64 -1 x)))))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (.f64 -1 (log.f64 (/.f64 -1 x)))))) 2)
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (log.f64 x)) (log.f64 x)))) 4)
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (log.f64 x)) (log.f64 x)))) 4)
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (log.f64 x)) (log.f64 x)))) 4)
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (log.f64 x)) (log.f64 x)))) 4)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (*.f64 -1 (log.f64 (/.f64 1 x))))))) 4)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (*.f64 -1 (log.f64 (/.f64 1 x))))))) 4)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (*.f64 -1 (log.f64 (/.f64 1 x))))))) 4)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (*.f64 -1 (log.f64 (/.f64 1 x))))))) 4)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (.f64 -1 (log.f64 (/.f64 -1 x)))))) 4)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (.f64 -1 (log.f64 (/.f64 -1 x)))))) 4)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (.f64 -1 (log.f64 (/.f64 -1 x)))))) 4)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (.f64 -1 (log.f64 (/.f64 -1 x)))))) 4)
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (log.f64 x)) (log.f64 x))))
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (log.f64 x)) (log.f64 x))))
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (log.f64 x)) (log.f64 x))))
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (log.f64 x)) (log.f64 x))))
(exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (*.f64 -1 (log.f64 (/.f64 1 x)))))))
(exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (*.f64 -1 (log.f64 (/.f64 1 x)))))))
(exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (*.f64 -1 (log.f64 (/.f64 1 x)))))))
(exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (*.f64 -1 (log.f64 (/.f64 1 x)))))))
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (.f64 -1 (log.f64 (/.f64 -1 x))))))
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (.f64 -1 (log.f64 (/.f64 -1 x))))))
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (.f64 -1 (log.f64 (/.f64 -1 x))))))
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (.f64 -1 (log.f64 (/.f64 -1 x))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 x (log.f64 x))))) 1)
(.f64 (pow.f64 (.f64 x (log.f64 x)) 1/4) (pow.f64 (*.f64 x (log.f64 x)) 1/4))
(.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)) 1/8) (.f64 (pow.f64 (.f64 x (log.f64 x)) 1/8) (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 (sqrt.f64 (.f64 x (log.f64 x)))) (.f64 (cbrt.f64 (pow.f64 (.f64 x (log.f64 x)) 1/4)) (pow.f64 (*.f64 x (log.f64 x)) 1/4)))
(.f64 (cbrt.f64 (.f64 x (log.f64 x))) (cbrt.f64 (sqrt.f64 (*.f64 x (log.f64 x)))))
(.f64 (pow.f64 x 1/4) (.f64 (pow.f64 (log.f64 x) 1/4) (pow.f64 (*.f64 x (log.f64 x)) 1/4)))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 x (log.f64 x))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))))
(.f64 (.f64 (pow.f64 (.f64 x (log.f64 x)) 1/4) (pow.f64 (.f64 x (log.f64 x)) 1/8)) (pow.f64 (*.f64 x (log.f64 x)) 1/8))
(.f64 (.f64 (pow.f64 x 1/4) (pow.f64 x 1/4)) (*.f64 (pow.f64 (log.f64 x) 1/4) (pow.f64 (log.f64 x) 1/4)))
(.f64 (.f64 (pow.f64 (.f64 x (log.f64 x)) 1/4) (cbrt.f64 (sqrt.f64 (.f64 x (log.f64 x))))) (cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 1/4)))
(.f64 (.f64 (pow.f64 (*.f64 x (log.f64 x)) 1/4) (pow.f64 x 1/4)) (pow.f64 (log.f64 x) 1/4))
(.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))
(*.f64 (pow.f64 (pow.f64 x 1/4) 2) (pow.f64 (pow.f64 (log.f64 x) 1/4) 2))
(sqrt.f64 (*.f64 x (log.f64 x)))
(fabs.f64 (sqrt.f64 (*.f64 x (log.f64 x))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 x (log.f64 x)))))
(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 (.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)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (log.f64 x)))) 1)
(*.f64 x (log.f64 x))
(*.f64 (log.f64 x) x)
(.f64 (.f64 x (log.f64 x)) 1)
(.f64 (pow.f64 (.f64 x (log.f64 x)) 1/4) (pow.f64 (*.f64 x (log.f64 x)) 3/4))
(.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 (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 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 (.f64 x (log.f64 x)) 3/4) (pow.f64 (*.f64 x (log.f64 x)) 1/4))
(.f64 (.f64 (sqrt.f64 (.f64 x (log.f64 x))) (cbrt.f64 (.f64 x (log.f64 x)))) (cbrt.f64 (sqrt.f64 (*.f64 x (log.f64 x)))))
(.f64 (.f64 x (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)))
(.f64 (.f64 x (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x)))
(.f64 (.f64 (log.f64 x) (sqrt.f64 x)) (sqrt.f64 x))
(.f64 (.f64 (log.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(.f64 (pow.f64 (pow.f64 (.f64 x (log.f64 x)) 1/8) 4) (pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 1/8) 4))
(.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (.f64 x (log.f64 x)))) 4) (pow.f64 (cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 1/4)) 4))
(*.f64 (pow.f64 (pow.f64 x 1/4) 4) (pow.f64 (pow.f64 (log.f64 x) 1/4) 4))
(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 (.f64 1/4 (log.f64 (*.f64 x (log.f64 x)))) 4))
(exp.f64 (.f64 (log.f64 (.f64 x (log.f64 x))) 1))
(log1p.f64 (-.f64 (pow.f64 x x) 1))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 x (log.f64 x)) 1/4))) 1)
(.f64 (pow.f64 (.f64 x (log.f64 x)) 1/4) 1)
(.f64 1 (pow.f64 (.f64 x (log.f64 x)) 1/4))
(.f64 (pow.f64 (.f64 x (log.f64 x)) 1/8) (pow.f64 (*.f64 x (log.f64 x)) 1/8))
(.f64 (cbrt.f64 (pow.f64 (.f64 x (log.f64 x)) 1/4)) (cbrt.f64 (sqrt.f64 (*.f64 x (log.f64 x)))))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 x (log.f64 x)))) (cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 1/4)))
(*.f64 (pow.f64 x 1/4) (pow.f64 (log.f64 x) 1/4))
(*.f64 (pow.f64 (log.f64 x) 1/4) (pow.f64 x 1/4))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 x (log.f64 x)))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (log.f64 x))))))
(.f64 (pow.f64 1 1/4) (pow.f64 (.f64 x (log.f64 x)) 1/4))
(.f64 (pow.f64 (sqrt.f64 (.f64 x (log.f64 x))) 1/4) (pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 1/4))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 x (log.f64 x))) 2) 1/4) (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 1/4))
(sqrt.f64 (sqrt.f64 (*.f64 x (log.f64 x))))
(fabs.f64 (pow.f64 (*.f64 x (log.f64 x)) 1/4))
(log.f64 (exp.f64 (pow.f64 (*.f64 x (log.f64 x)) 1/4)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 x (log.f64 x)) 1/4))))
(cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3/4))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 x (log.f64 x)) 1/4)))
(exp.f64 (.f64 1/4 (log.f64 (.f64 x (log.f64 x)))))
(exp.f64 (.f64 (.f64 1/4 (log.f64 (*.f64 x (log.f64 x)))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 x (log.f64 x)) 1/4)))

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

localize287.0ms (6.7%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 51 to 16 computations (68.6% saved)

series5.0ms (0.1%)

Counts

2 → 12

Calls

6 calls:

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

rewrite59.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1594×	`add-sqr-sqrt`
1574×	`*-un-lft-identity`
1464×	`add-cube-cbrt`
1442×	`add-cbrt-cube`
176×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	30
1	191	30
2	2124	30

Stop Event

1×	node limit

Counts

2 → 42

Calls

Call 1

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

Outputs

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

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

simplify52.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1350×	`associate-r`
1134×	`associate-l`
1086×	`distribute-lft-in`
1084×	`distribute-rgt-in`
558×	`associate-+r+`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	109	946
1	220	946
2	678	946
3	3482	936

Stop Event

1×	node limit

Counts

54 → 52

Calls

Call 1

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

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

eval127.0ms (3%)

Compiler: Compiled 6298 to 2623 computations (58.4% saved)

prune109.0ms (2.5%)

Pruning

25 alts after pruning (16 fresh and 9 done)

	Pruned	Kept	Total
New	455	9	464
Fresh	2	7	9
Picked	1	0	1
Done	0	9	9
Total	458	25	483

Error

0.0b

Counts

483 → 25

Alt Table

Click to see full alt table

Status	Error	Program
✓	35.5b	(pow.f64 (pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 1/4) 2) 2)
	2.5b	(pow.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (log.f64 x)))) 2) (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x))))) 3)
	1.7b	(pow.f64 (*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 x)) 3)
✓	35.3b	(pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 2)
✓	1.4b	(pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3)
	2.3b	(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) 3) (.f64 (log.f64 x) (cbrt.f64 x)))
	35.2b	(.f64 (pow.f64 (.f64 x (log.f64 x)) 3/4) (pow.f64 (*.f64 x (log.f64 x)) 1/4))
	1.4b	(.f64 (pow.f64 (cbrt.f64 (.f64 (log.f64 x) (sqrt.f64 x))) 3) (sqrt.f64 x))
▶	1.3b	(.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (.f64 (cbrt.f64 (log.f64 x)) x))
▶	1.4b	(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (log.f64 x) (cbrt.f64 x)))
▶	1.3b	(.f64 (.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) (cbrt.f64 x)) (cbrt.f64 (log.f64 x)))
	1.4b	(.f64 (.f64 (log.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
✓	0.6b	(.f64 (.f64 (log.f64 x) (sqrt.f64 x)) (sqrt.f64 x))
▶	32.3b	(.f64 (.f64 (log.f64 x) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x))
	1.5b	(.f64 (.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 x))) (.f64 (pow.f64 (cbrt.f64 (.f64 x (log.f64 x))) 2) (cbrt.f64 (log.f64 x))))
	35.4b	(.f64 (.f64 x (sqrt.f64 (log.f64 x))) (pow.f64 (pow.f64 (log.f64 x) 3/2) 1/3))
✓	35.3b	(.f64 (.f64 x (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)))
	34.5b	(.f64 (sqrt.f64 (.f64 x (pow.f64 (log.f64 x) 2))) (sqrt.f64 x))
✓	32.3b	(.f64 (cbrt.f64 (.f64 x x)) (*.f64 (log.f64 x) (cbrt.f64 x)))
	32.3b	(.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 (*.f64 x (pow.f64 (log.f64 x) 3))))
▶	29.8b	(.f64 (cbrt.f64 x) (.f64 (pow.f64 (cbrt.f64 (.f64 x (log.f64 x))) 2) (.f64 (pow.f64 (*.f64 1 (log.f64 (/.f64 1 x))) 1/3) (cbrt.f64 -1))))
✓	0.2b	(*.f64 x (log.f64 x))
✓	37.7b	(exp.f64 (log.f64 (*.f64 x (log.f64 x))))
	42.7b	(cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3) 3))
✓	42.5b	(cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3))

Compiler

Compiled 513 to 346 computations (32.6% saved)

localize17.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 50 to 16 computations (68% saved)

localize45.0ms (1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (log.f64 x) (cbrt.f64 (.f64 x x)))
✓	0.3b	(.f64 (.f64 (log.f64 x) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x))
	0.6b	(cbrt.f64 x)
	31.6b	(cbrt.f64 (*.f64 x x))

Compiler

Compiled 30 to 7 computations (76.7% saved)

series1.0ms (0%)

Counts

2 → 12

Calls

6 calls:

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

rewrite56.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	32
1	189	32
2	2224	32

Stop Event

1×	node limit

Counts

2 → 26

Calls

Call 1

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

Outputs

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

simplify63.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1178×	`associate-+r-`
1018×	`associate-+l-`
834×	`associate-r`
778×	`fma-def`
758×	`log-prod`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	83	698
1	190	690
2	569	690
3	2953	626
4	6700	626

Stop Event

1×	node limit

Counts

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

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 26 to 10 computations (61.5% saved)

series2.0ms (0.1%)

Counts

2 → 12

Calls

6 calls:

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

rewrite79.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	42
1	196	22
2	2263	22

Stop Event

1×	node limit

Counts

2 → 31

Calls

Call 1

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

Outputs

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

simplify60.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1268×	`associate-+r-`
1006×	`distribute-lft-in`
934×	`distribute-rgt-in`
924×	`*-commutative`
828×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	85	531
1	169	531
2	492	531
3	2634	531
4	7528	531

Stop Event

1×	node limit

Counts

43 → 38

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

Outputs
(*.f64 (log.f64 x) x)
(*.f64 x (log.f64 x))
(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 (exp.f64 (*.f64 x (log.f64 x))))
(*.f64 x (log.f64 x))
(log.f64 (pow.f64 x x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (log.f64 x)))))
(*.f64 x (log.f64 x))
(log.f64 (pow.f64 x x))
(cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3))
(*.f64 x (log.f64 x))
(log.f64 (pow.f64 x x))
(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 (expm1.f64 (*.f64 x (log.f64 x))))
(*.f64 x (log.f64 x))
(log.f64 (pow.f64 x x))

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 29 to 10 computations (65.5% saved)

series6.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite95.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	41
1	196	41
2	2233	41

Stop Event

1×	node limit

Counts

3 → 44

Calls

Call 1

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

Outputs

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

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

simplify79.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1332×	`associate-+r-`
1196×	`fma-def`
780×	`associate-+r+`
752×	`*-commutative`
656×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	132	1304
1	302	1288
2	926	1288
3	2798	1288
4	7285	1288

Stop Event

1×	node limit

Counts

80 → 61

Calls

Call 1

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

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

localize106.0ms (2.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(pow.f64 (*.f64 1 (log.f64 (/.f64 1 x))) 1/3)
	0.5b	(pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2)
	0.6b	(cbrt.f64 x)
	0.6b	(cbrt.f64 (*.f64 x (log.f64 x)))

Compiler

Compiled 101 to 67 computations (33.7% saved)

series8.0ms (0.2%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
8.0ms	x	@	-inf	(pow.f64 (*.f64 1 (log.f64 (/.f64 1 x))) 1/3)
0.0ms	x	@	0	(pow.f64 (*.f64 1 (log.f64 (/.f64 1 x))) 1/3)
0.0ms	x	@	inf	(pow.f64 (*.f64 1 (log.f64 (/.f64 1 x))) 1/3)

rewrite75.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1484×	`add-sqr-sqrt`
1454×	`*-un-lft-identity`
1366×	`add-cube-cbrt`
1354×	`add-cbrt-cube`
1336×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	13
1	186	13
2	1997	13

Stop Event

1×	node limit

Counts

1 → 15

Calls

Call 1

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

Outputs

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

simplify58.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1176×	`associate-/l/`
830×	`associate--l+`
788×	`associate-/r/`
744×	`associate-*r/`
568×	`*-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	52	491
1	103	491
2	198	491
3	481	477
4	1620	477
5	4787	477

Stop Event

1×	node limit

Counts

27 → 24

Calls

Call 1

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

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

eval170.0ms (4%)

Compiler: Compiled 8635 to 3859 computations (55.3% saved)

prune174.0ms (4%)

Pruning

26 alts after pruning (14 fresh and 12 done)

	Pruned	Kept	Total
New	521	4	525
Fresh	1	10	11
Picked	1	0	1
Done	1	12	13
Total	524	26	550

Error

Counts

550 → 26

Alt Table

Click to see full alt table

Status	Error	Program
✓	35.5b	(pow.f64 (pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 1/4) 2) 2)
	1.7b	(pow.f64 (*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 x)) 3)
✓	35.3b	(pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 2)
✓	1.4b	(pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3)
	1.1b	(.f64 (pow.f64 (pow.f64 (log.f64 x) 2) 1/3) (.f64 (cbrt.f64 (log.f64 x)) x))
	2.3b	(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) 3) (.f64 (log.f64 x) (cbrt.f64 x)))
	35.2b	(.f64 (pow.f64 (.f64 x (log.f64 x)) 3/4) (pow.f64 (*.f64 x (log.f64 x)) 1/4))
	1.4b	(.f64 (pow.f64 (cbrt.f64 (.f64 (log.f64 x) (sqrt.f64 x))) 3) (sqrt.f64 x))
	1.6b	(.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 x))) 3) x))
✓	1.3b	(.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (.f64 (cbrt.f64 (log.f64 x)) x))
✓	1.4b	(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (log.f64 x) (cbrt.f64 x)))
	2.2b	(.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (.f64 x (pow.f64 (log.f64 x) 3))))
	1.4b	(.f64 (.f64 (log.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
✓	0.6b	(.f64 (.f64 (log.f64 x) (sqrt.f64 x)) (sqrt.f64 x))
✓	32.3b	(.f64 (.f64 (log.f64 x) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x))
	1.5b	(.f64 (.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 x))) (.f64 (pow.f64 (cbrt.f64 (.f64 x (log.f64 x))) 2) (cbrt.f64 (log.f64 x))))
	35.4b	(.f64 (.f64 x (sqrt.f64 (log.f64 x))) (pow.f64 (pow.f64 (log.f64 x) 3/2) 1/3))
✓	35.3b	(.f64 (.f64 x (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)))
	34.5b	(.f64 (sqrt.f64 (.f64 x (pow.f64 (log.f64 x) 2))) (sqrt.f64 x))
	0.8b	(.f64 (cbrt.f64 (pow.f64 (log.f64 x) 2)) (.f64 (cbrt.f64 (log.f64 x)) x))
✓	32.3b	(.f64 (cbrt.f64 (.f64 x x)) (*.f64 (log.f64 x) (cbrt.f64 x)))
	32.3b	(.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 (*.f64 x (pow.f64 (log.f64 x) 3))))
✓	0.2b	(*.f64 x (log.f64 x))
✓	37.7b	(exp.f64 (log.f64 (*.f64 x (log.f64 x))))
	42.7b	(cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3) 3))
✓	42.5b	(cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3))

Compiler

Compiled 292 to 197 computations (32.5% saved)

regimes36.0ms (0.8%)

Accuracy

Total -63.8b remaining (-26325.8%)

Threshold costs -63.8b (-26325.8%)

Counts

32 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 370 to 154 computations (58.4% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	11
1	7	11

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 5 to 3 computations (40% saved)

soundness0.0ms (0%)

end18.0ms (0.4%)

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

Details

analyze3.0ms (0.1%)

sample826.0ms (19.2%)

preprocess4.0ms (0.1%)

simplify11.0ms (0.3%)

eval0.0ms (0%)

prune1.0ms (0%)

localize34.0ms (0.8%)

series48.0ms (1.1%)

rewrite77.0ms (1.8%)

simplify47.0ms (1.1%)

eval2.0ms (0.1%)

prune4.0ms (0.1%)

localize9.0ms (0.2%)

series26.0ms (0.6%)

rewrite56.0ms (1.3%)

simplify58.0ms (1.3%)

localize9.0ms (0.2%)

series46.0ms (1.1%)

rewrite84.0ms (1.9%)

simplify58.0ms (1.3%)

localize9.0ms (0.2%)

series3.0ms (0.1%)

rewrite86.0ms (2%)

simplify49.0ms (1.1%)

localize8.0ms (0.2%)

series6.0ms (0.1%)

rewrite56.0ms (1.3%)

simplify53.0ms (1.2%)

eval95.0ms (2.2%)

prune51.0ms (1.2%)

localize7.0ms (0.2%)

series4.0ms (0.1%)

rewrite61.0ms (1.4%)

simplify48.0ms (1.1%)

localize11.0ms (0.3%)

series7.0ms (0.2%)

rewrite90.0ms (2.1%)

simplify62.0ms (1.4%)

localize8.0ms (0.2%)

series3.0ms (0.1%)

rewrite63.0ms (1.5%)

simplify108.0ms (2.5%)

localize15.0ms (0.3%)

series35.0ms (0.8%)

rewrite67.0ms (1.6%)

simplify87.0ms (2%)

localize287.0ms (6.7%)

series5.0ms (0.1%)

rewrite59.0ms (1.4%)

simplify52.0ms (1.2%)

eval127.0ms (3%)

prune109.0ms (2.5%)

localize17.0ms (0.4%)

localize45.0ms (1%)

series1.0ms (0%)

rewrite56.0ms (1.3%)

simplify63.0ms (1.5%)

localize11.0ms (0.3%)

series2.0ms (0.1%)

rewrite79.0ms (1.8%)

simplify60.0ms (1.4%)

localize11.0ms (0.3%)

series6.0ms (0.1%)

rewrite95.0ms (2.2%)

simplify79.0ms (1.8%)

localize106.0ms (2.5%)

series8.0ms (0.2%)

rewrite75.0ms (1.7%)

simplify58.0ms (1.3%)

eval170.0ms (4%)

prune174.0ms (4%)

regimes36.0ms (0.8%)

simplify3.0ms (0.1%)

soundness0.0ms (0%)

end18.0ms (0.4%)

Profiling