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)

sample834.0ms (20.9%)

Results

822.0ms	8256×	body	256	valid
1.0ms	11×	body	256	invalid
1.0ms	8×	body	256	infinite

Bogosity

preprocess14.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

2×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

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

Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify14.0ms (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

0.3b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.3b	(*.f64 x (log.f64 x))

Compiler

Compiled 5 to 3 computations (40% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 8 to 3 computations (62.5% saved)

series47.0ms (1.2%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
25.0ms	x	@	0	(*.f64 x (log.f64 x))
13.0ms	x	@	-inf	(*.f64 x (log.f64 x))
8.0ms	x	@	inf	(*.f64 x (log.f64 x))

rewrite50.0ms (1.2%)

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 (1.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

23 → 17

Calls

Call 1

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

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

eval2.0ms (0.1%)

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

prune4.0ms (0.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

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

Error

0.2b

Counts

18 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	32.3b	(pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 2)
▶	1.3b	(pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3)
✓	0.3b	(*.f64 x (log.f64 x))
▶	3.0b	(expm1.f64 (log1p.f64 (*.f64 x (log.f64 x))))
▶	40.4b	(cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3))

Compiler

Compiled 36 to 26 computations (27.8% saved)

localize12.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.3b	(pow.f64 (*.f64 x (log.f64 x)) 3)
	0.3b	(*.f64 x (log.f64 x))
✓	39.0b	(cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3))

Compiler

Compiled 22 to 9 computations (59.1% saved)

series4.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite68.0ms (1.7%)

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)))))))

simplify106.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

81 → 73

Calls

Call 1

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

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

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(log1p.f64 (*.f64 x (log.f64 x)))
	0.3b	(*.f64 x (log.f64 x))
✓	2.9b	(expm1.f64 (log1p.f64 (*.f64 x (log.f64 x))))

Compiler

Compiled 19 to 5 computations (73.7% saved)

series22.0ms (0.5%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
21.0ms	x	@	-inf	(log1p.f64 (*.f64 x (log.f64 x)))
0.0ms	x	@	inf	(log1p.f64 (*.f64 x (log.f64 x)))
0.0ms	x	@	0	(log1p.f64 (*.f64 x (log.f64 x)))
0.0ms	x	@	0	(expm1.f64 (log1p.f64 (*.f64 x (log.f64 x))))
0.0ms	x	@	-inf	(expm1.f64 (log1p.f64 (*.f64 x (log.f64 x))))

rewrite52.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1220×	`add-sqr-sqrt`
1208×	`*-un-lft-identity`
1138×	`pow1`
1116×	`add-cube-cbrt`
1098×	`add-cbrt-cube`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	26
1	151	26
2	1553	26

Stop Event

1×	node limit

Counts

2 → 43

Calls

Call 1

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

Outputs

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

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

simplify51.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1402×	`fma-def`
1136×	`unswap-sqr`
752×	`associate-+l+`
728×	`associate-/r*`
588×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	160	2001
1	456	1669
2	1974	1617

Stop Event

1×	node limit

Counts

67 → 97

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

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.3b	(*.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)))

rewrite74.0ms (1.9%)

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)))))))))

simplify50.0ms (1.3%)

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)))
	0.3b	(*.f64 x (log.f64 x))
✓	0.3b	(pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 2)

Compiler

Compiled 21 to 7 computations (66.7% saved)

series5.0ms (0.1%)

Counts

2 → 0

Calls

6 calls:

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

rewrite75.0ms (1.9%)

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)))))))))

simplify62.0ms (1.6%)

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)))

eval164.0ms (4.1%)

Compiler: Compiled 4565 to 2262 computations (50.4% saved)

prune90.0ms (2.2%)

Pruning

22 alts after pruning (17 fresh and 5 done)

	Pruned	Kept	Total
New	346	17	363
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	346	22	368

Error

0.0b

Counts

368 → 22

Alt Table

Click to see full alt table

Status	Error	Program
	32.9b	(pow.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (log.f64 x)))) 3) 2)
	2.6b	(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) 3) 3)
	2.6b	(pow.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (log.f64 x)))) 2) (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x))))) 3)
	32.4b	(pow.f64 (*.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 x)) 2)
▶	32.6b	(pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3)) 2)
✓	32.3b	(pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 2)
	1.6b	(pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3)) 3)
✓	1.3b	(pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3)
▶	1.2b	(.f64 (pow.f64 (cbrt.f64 (.f64 x (log.f64 x))) 2) (*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 x)))
	1.4b	(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (log.f64 x)))
	1.8b	(.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)))))
	32.2b	(.f64 (.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (sqrt.f64 x)) (sqrt.f64 (log.f64 x)))
	32.5b	(.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)))))
	1.4b	(.f64 (.f64 (log.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
▶	0.5b	(.f64 (.f64 (log.f64 x) (sqrt.f64 x)) (sqrt.f64 x))
▶	32.3b	(.f64 (.f64 x (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)))
	30.1b	(.f64 (log.f64 x) (.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x)))
▶	30.2b	(.f64 (cbrt.f64 (.f64 x x)) (*.f64 (log.f64 x) (cbrt.f64 x)))
✓	0.3b	(*.f64 x (log.f64 x))
✓	3.0b	(expm1.f64 (log1p.f64 (*.f64 x (log.f64 x))))
✓	40.4b	(cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3))
	40.6b	(cbrt.f64 (*.f64 (pow.f64 (log.f64 x) 3) (pow.f64 x 3)))

Compiler

Compiled 466 to 298 computations (36.1% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 19 to 5 computations (73.7% saved)

series27.0ms (0.7%)

Counts

2 → 12

Calls

6 calls:

Time	Variable		Point	Expression
24.0ms	x	@	0	(*.f64 (log.f64 x) (sqrt.f64 x))
1.0ms	x	@	-inf	(.f64 (.f64 (log.f64 x) (sqrt.f64 x)) (sqrt.f64 x))
1.0ms	x	@	-inf	(*.f64 (log.f64 x) (sqrt.f64 x))
0.0ms	x	@	inf	(*.f64 (log.f64 x) (sqrt.f64 x))
0.0ms	x	@	0	(.f64 (.f64 (log.f64 x) (sqrt.f64 x)) (sqrt.f64 x))

rewrite53.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 24

Calls

Call 1

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

Outputs

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

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

simplify47.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	73	582
1	176	522
2	671	462
3	3824	460

Stop Event

1×	node limit

Counts

36 → 36

Calls

Call 1

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

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

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 (log.f64 x) (cbrt.f64 x))
✓	0.4b	(.f64 (cbrt.f64 (.f64 x x)) (*.f64 (log.f64 x) (cbrt.f64 x)))
✓	0.6b	(cbrt.f64 x)
✓	29.6b	(cbrt.f64 (*.f64 x x))

Compiler

Compiled 28 to 7 computations (75% saved)

series5.0ms (0.1%)

Counts

4 → 12

Calls

12 calls:

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

rewrite89.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 75

Calls

Call 1

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

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

simplify56.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

87 → 90

Calls

Call 1

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

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

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(sqrt.f64 (log.f64 x))
✓	0.1b	(*.f64 x (sqrt.f64 (log.f64 x)))
✓	0.2b	(.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 (.f64 x (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)))
1.0ms	x	@	-inf	(*.f64 x (sqrt.f64 (log.f64 x)))
0.0ms	x	@	inf	(*.f64 x (sqrt.f64 (log.f64 x)))
0.0ms	x	@	0	(*.f64 x (sqrt.f64 (log.f64 x)))
0.0ms	x	@	-inf	(.f64 (.f64 x (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)))

rewrite78.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	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))))))))

simplify54.0ms (1.4%)

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))

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(*.f64 x (log.f64 x))
✓	0.3b	(pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3)) 2)
	0.6b	(cbrt.f64 (*.f64 x (log.f64 x)))
	0.7b	(pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3)

Compiler

Compiled 40 to 16 computations (60% saved)

series18.0ms (0.5%)

Counts

1 → 0

Calls

3 calls:

Time

Variable

Point

Expression

17.0ms

-inf

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

0.0ms

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

0.0ms

inf

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

rewrite55.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1668×	`add-sqr-sqrt`
1632×	`*-un-lft-identity`
1538×	`add-cube-cbrt`
1520×	`add-cbrt-cube`
184×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	11
1	244	11
2	2281	11

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

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

Outputs

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

simplify58.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1106×	`distribute-lft-out`
692×	`distribute-lft-in`
660×	`distribute-rgt-in`
540×	`associate-+r+`
514×	`associate-*l/`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	86	499
1	200	499
2	686	499
3	1529	485
4	5231	485

Stop Event

1×	node limit

Counts

35 → 43

Calls

Call 1

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

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

localize26.0ms (0.7%)

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 (*.f64 x (log.f64 x)))
	0.6b	(cbrt.f64 x)

Compiler

Compiled 46 to 13 computations (71.7% 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	@	-inf	(cbrt.f64 (log.f64 x))
1.0ms	x	@	0	(cbrt.f64 (log.f64 x))
0.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2)
0.0ms	x	@	inf	(pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2)

rewrite81.0ms (2%)

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))))))))

simplify51.0ms (1.3%)

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))

eval123.0ms (3.1%)

Compiler: Compiled 6216 to 2320 computations (62.7% saved)

prune79.0ms (2%)

Pruning

24 alts after pruning (14 fresh and 10 done)

	Pruned	Kept	Total
New	454	8	462
Fresh	6	6	12
Picked	0	1	1
Done	0	9	9
Total	460	24	484

Error

0.0b

Counts

484 → 24

Alt Table

Click to see full alt table

Status	Error	Program
	32.9b	(pow.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (log.f64 x)))) 3) 2)
	2.6b	(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) 3) 3)
	32.4b	(pow.f64 (*.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 x)) 2)
✓	32.6b	(pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3)) 2)
✓	32.3b	(pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 2)
✓	1.3b	(pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3)
	3.1b	(.f64 (pow.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (.f64 x (log.f64 x))))) 2) (*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 x)))
	1.4b	(.f64 (pow.f64 (cbrt.f64 (.f64 (log.f64 x) (sqrt.f64 x))) 3) (sqrt.f64 x))
✓	1.2b	(.f64 (pow.f64 (cbrt.f64 (.f64 x (log.f64 x))) 2) (*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 x)))
▶	1.4b	(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (log.f64 x) (cbrt.f64 x)))
	1.4b	(.f64 (.f64 (log.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
✓	0.5b	(.f64 (.f64 (log.f64 x) (sqrt.f64 x)) (sqrt.f64 x))
	32.4b	(.f64 (.f64 x (pow.f64 (pow.f64 (log.f64 x) 1/4) 2)) (sqrt.f64 (log.f64 x)))
✓	32.3b	(.f64 (.f64 x (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)))
▶	31.3b	(.f64 (sqrt.f64 (.f64 x (pow.f64 (log.f64 x) 2))) (sqrt.f64 x))
	14.5b	(.f64 (sqrt.f64 (.f64 x (cbrt.f64 x))) (*.f64 (log.f64 x) (cbrt.f64 x)))
▶	30.1b	(.f64 (log.f64 x) (.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x)))
▶	19.4b	(.f64 (cbrt.f64 (pow.f64 (.f64 (log.f64 x) (sqrt.f64 x)) 3)) (sqrt.f64 x))
✓	30.2b	(.f64 (cbrt.f64 (.f64 x x)) (*.f64 (log.f64 x) (cbrt.f64 x)))
▶	30.2b	(.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 (*.f64 x (pow.f64 (log.f64 x) 3))))
✓	0.3b	(*.f64 x (log.f64 x))
✓	3.0b	(expm1.f64 (log1p.f64 (*.f64 x (log.f64 x))))
✓	40.4b	(cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3))
	40.6b	(cbrt.f64 (*.f64 (pow.f64 (log.f64 x) 3) (pow.f64 x 3)))

Compiler

Compiled 420 to 292 computations (30.5% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(*.f64 (log.f64 x) (cbrt.f64 x))
✓	0.4b	(.f64 (pow.f64 (cbrt.f64 x) 2) (.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	@	-inf	(pow.f64 (cbrt.f64 x) 2)
0.0ms	x	@	0	(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (log.f64 x) (cbrt.f64 x)))
0.0ms	x	@	0	(pow.f64 (cbrt.f64 x) 2)

rewrite61.0ms (1.5%)

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))))))))

simplify61.0ms (1.5%)

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 (log.f64 x) (.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x)))
✓	0.3b	(.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 x))
	0.6b	(cbrt.f64 x)
	29.6b	(cbrt.f64 (*.f64 x x))

Compiler

Compiled 30 to 7 computations (76.7% saved)

series5.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite68.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	12
1	190	12
2	2026	12

Stop Event

1×	node limit

Counts

2 → 29

Calls

Call 1

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

Outputs

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

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

simplify46.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1068×	`associate-+r+`
874×	`associate-+l+`
734×	`*-commutative`
616×	`unswap-sqr`
464×	`log-prod`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	81	541
1	183	533
2	754	533
3	3177	469

Stop Event

1×	node limit

Counts

53 → 43

Calls

Call 1

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

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

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 34 to 18 computations (47.1% saved)

series24.0ms (0.6%)

Counts

4 → 32

Calls

12 calls:

Time	Variable		Point	Expression
21.0ms	x	@	-inf	(sqrt.f64 (*.f64 x (pow.f64 (log.f64 x) 2)))
1.0ms	x	@	-inf	(*.f64 x (pow.f64 (log.f64 x) 2))
0.0ms	x	@	-inf	(.f64 (sqrt.f64 (.f64 x (pow.f64 (log.f64 x) 2))) (sqrt.f64 x))
0.0ms	x	@	-inf	(pow.f64 (log.f64 x) 2)
0.0ms	x	@	0	(*.f64 x (pow.f64 (log.f64 x) 2))

rewrite66.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	76
1	217	54
2	2469	54

Stop Event

1×	node limit

Counts

4 → 73

Calls

Call 1

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

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

simplify68.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1262×	`unswap-sqr`
614×	`distribute-lft-in`
590×	`distribute-rgt-in`
580×	`distribute-lft-neg-in`
528×	`distribute-lft-neg-out`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	173	2089
1	370	1925
2	1333	1881
3	5255	1881

Stop Event

1×	node limit

Counts

105 → 103

Calls

Call 1

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

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

localize38.0ms (1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 (*.f64 x (pow.f64 (log.f64 x) 3))))
✓	0.7b	(pow.f64 (log.f64 x) 3)
✓	1.1b	(cbrt.f64 (*.f64 x (pow.f64 (log.f64 x) 3)))
	29.6b	(cbrt.f64 (*.f64 x x))

Compiler

Compiled 41 to 19 computations (53.7% saved)

series2.0ms (0.1%)

Counts

3 → 20

Calls

9 calls:

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

rewrite80.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

1996×	`add-sqr-sqrt`
1966×	`*-un-lft-identity`
1842×	`add-cube-cbrt`
1816×	`add-cbrt-cube`
210×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	57
1	239	37
2	2712	37

Stop Event

1×	node limit

Counts

3 → 60

Calls

Call 1

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

Outputs

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

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (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))))))))

simplify59.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1464×	`associate-+l+`
834×	`distribute-lft-neg-in`
768×	`unswap-sqr`
742×	`distribute-rgt-neg-in`
510×	`sqr-pow`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	147	1470
1	328	1454
2	1248	1254
3	4012	1254

Stop Event

1×	node limit

Counts

80 → 76

Calls

Call 1

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

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(*.f64 (log.f64 x) (sqrt.f64 x))
✓	0.4b	(.f64 (cbrt.f64 (pow.f64 (.f64 (log.f64 x) (sqrt.f64 x)) 3)) (sqrt.f64 x))
✓	0.5b	(pow.f64 (*.f64 (log.f64 x) (sqrt.f64 x)) 3)
✓	19.1b	(cbrt.f64 (pow.f64 (*.f64 (log.f64 x) (sqrt.f64 x)) 3))

Compiler

Compiled 38 to 14 computations (63.2% saved)

series13.0ms (0.3%)

Counts

3 → 12

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(pow.f64 (*.f64 (log.f64 x) (sqrt.f64 x)) 3)
2.0ms	x	@	inf	(pow.f64 (*.f64 (log.f64 x) (sqrt.f64 x)) 3)
1.0ms	x	@	0	(pow.f64 (*.f64 (log.f64 x) (sqrt.f64 x)) 3)
0.0ms	x	@	0	(cbrt.f64 (pow.f64 (*.f64 (log.f64 x) (sqrt.f64 x)) 3))
0.0ms	x	@	-inf	(cbrt.f64 (pow.f64 (*.f64 (log.f64 x) (sqrt.f64 x)) 3))

rewrite65.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1786×	`add-sqr-sqrt`
1754×	`*-un-lft-identity`
1648×	`add-cube-cbrt`
1628×	`add-cbrt-cube`
188×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	61
1	224	47
2	2426	47

Stop Event

1×	node limit

Counts

3 → 72

Calls

Call 1

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

Outputs

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

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

((#(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))))))))

simplify79.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1552×	`associate-+r+`
1334×	`associate-+l+`
1210×	`unswap-sqr`
866×	`*-commutative`
516×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	167	1764
1	389	1668
2	1617	1644
3	5424	1644

Stop Event

1×	node limit

Counts

84 → 84

Calls

Call 1

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

eval146.0ms (3.7%)

Compiler: Compiled 6420 to 2722 computations (57.6% saved)

prune109.0ms (2.7%)

Pruning

24 alts after pruning (10 fresh and 14 done)

	Pruned	Kept	Total
New	509	5	514
Fresh	4	5	9
Picked	0	1	1
Done	1	13	14
Total	514	24	538

Error

Counts

538 → 24

Alt Table

Click to see full alt table

Status	Error	Program
	2.6b	(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) 3) 3)
	32.4b	(pow.f64 (*.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 x)) 2)
✓	32.6b	(pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3)) 2)
✓	32.3b	(pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 2)
✓	1.3b	(pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3)
	1.4b	(.f64 (pow.f64 (cbrt.f64 (.f64 (log.f64 x) (sqrt.f64 x))) 3) (sqrt.f64 x))
✓	1.4b	(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (log.f64 x) (cbrt.f64 x)))
	0.6b	(.f64 (.f64 (pow.f64 x 1/4) (*.f64 (pow.f64 x 1/4) (log.f64 x))) (sqrt.f64 x))
	1.4b	(.f64 (.f64 (log.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
✓	0.5b	(.f64 (.f64 (log.f64 x) (sqrt.f64 x)) (sqrt.f64 x))
✓	32.3b	(.f64 (.f64 x (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)))
✓	31.3b	(.f64 (sqrt.f64 (.f64 x (pow.f64 (log.f64 x) 2))) (sqrt.f64 x))
	0.5b	(*.f64 (log.f64 x) (pow.f64 (sqrt.f64 x) 2))
	1.4b	(.f64 (log.f64 x) (.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x)))
✓	30.1b	(.f64 (log.f64 x) (.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x)))
	40.1b	(*.f64 (log.f64 x) (cbrt.f64 (pow.f64 x 3)))
✓	19.4b	(.f64 (cbrt.f64 (pow.f64 (.f64 (log.f64 x) (sqrt.f64 x)) 3)) (sqrt.f64 x))
	19.8b	(.f64 (cbrt.f64 (.f64 (pow.f64 (log.f64 x) 3) (pow.f64 x 3/2))) (sqrt.f64 x))
✓	30.2b	(.f64 (cbrt.f64 (.f64 x x)) (*.f64 (log.f64 x) (cbrt.f64 x)))
✓	30.2b	(.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 (*.f64 x (pow.f64 (log.f64 x) 3))))
✓	0.3b	(*.f64 x (log.f64 x))
✓	3.0b	(expm1.f64 (log1p.f64 (*.f64 x (log.f64 x))))
✓	40.4b	(cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3))
	40.6b	(cbrt.f64 (*.f64 (pow.f64 (log.f64 x) 3) (pow.f64 x 3)))

Compiler

Compiled 242 to 169 computations (30.2% saved)

regimes92.0ms (2.3%)

Accuracy

Total -53.3b remaining (-20368.9%)

Threshold costs -53.3b (-20368.9%)

Counts

35 → 1

Calls

Call 1

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

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

Calls

2 calls:

41.0ms	(*.f64 x (log.f64 x))
15.0ms	x

Results

Error	Segments	Branch
0.3b	1	`x`
0.3b	1	`(*.f64 x (log.f64 x))`

Compiler

Compiled 379 to 148 computations (60.9% 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%)

end30.0ms (0.8%)

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

Details

analyze3.0ms (0.1%)

sample834.0ms (20.9%)

preprocess14.0ms (0.3%)

simplify14.0ms (0.3%)

eval0.0ms (0%)

prune1.0ms (0%)

localize5.0ms (0.1%)

series47.0ms (1.2%)

rewrite50.0ms (1.2%)

simplify47.0ms (1.2%)

eval2.0ms (0.1%)

prune4.0ms (0.1%)

localize12.0ms (0.3%)

series4.0ms (0.1%)

rewrite68.0ms (1.7%)

simplify106.0ms (2.6%)

localize8.0ms (0.2%)

series22.0ms (0.5%)

rewrite52.0ms (1.3%)

simplify51.0ms (1.3%)

localize9.0ms (0.2%)

series3.0ms (0.1%)

rewrite74.0ms (1.9%)

simplify50.0ms (1.3%)

localize8.0ms (0.2%)

series5.0ms (0.1%)

rewrite75.0ms (1.9%)

simplify62.0ms (1.6%)

eval164.0ms (4.1%)

prune90.0ms (2.2%)

localize8.0ms (0.2%)

series27.0ms (0.7%)

rewrite53.0ms (1.3%)

simplify47.0ms (1.2%)

localize11.0ms (0.3%)

series5.0ms (0.1%)

rewrite89.0ms (2.2%)

simplify56.0ms (1.4%)

localize7.0ms (0.2%)

series3.0ms (0.1%)

rewrite78.0ms (2%)

simplify54.0ms (1.4%)

localize14.0ms (0.3%)

series18.0ms (0.5%)

rewrite55.0ms (1.4%)

simplify58.0ms (1.5%)

localize26.0ms (0.7%)

series5.0ms (0.1%)

rewrite81.0ms (2%)

simplify51.0ms (1.3%)

eval123.0ms (3.1%)

prune79.0ms (2%)

localize11.0ms (0.3%)

series2.0ms (0.1%)

rewrite61.0ms (1.5%)

simplify61.0ms (1.5%)

localize11.0ms (0.3%)

series5.0ms (0.1%)

rewrite68.0ms (1.7%)

simplify46.0ms (1.1%)

localize14.0ms (0.3%)

series24.0ms (0.6%)

rewrite66.0ms (1.7%)

simplify68.0ms (1.7%)

localize38.0ms (1%)

series2.0ms (0.1%)

rewrite80.0ms (2%)

simplify59.0ms (1.5%)

localize13.0ms (0.3%)

series13.0ms (0.3%)

rewrite65.0ms (1.6%)

simplify79.0ms (2%)

eval146.0ms (3.7%)

prune109.0ms (2.7%)

regimes92.0ms (2.3%)

simplify3.0ms (0.1%)

soundness0.0ms (0%)

end30.0ms (0.8%)

Profiling