Details

analyze4.0ms (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
50%	50%	50%	0%	0%	0%	0%	3
66.7%	50%	25%	0%	25%	0%	0%	4
80%	50%	12.5%	0%	37.5%	0%	0%	5
88.9%	50%	6.2%	0%	43.7%	0%	0%	6
94.1%	50%	3.1%	0%	46.9%	0%	0%	7
97%	50%	1.6%	0%	48.4%	0%	0%	8
98.5%	50%	0.8%	0%	49.2%	0%	0%	9
99.2%	50.4%	0.4%	0%	49.2%	0%	0%	10
99.6%	50.4%	0.2%	0%	49.4%	0%	0%	11
99.8%	50.4%	0.1%	0%	49.5%	0%	0%	12

Compiler

Compiled 10 to 8 computations (20% saved)

sample2.9s (52.4%)

Results

2.0s	4000×	body	1024	valid
505.0ms	2074×	body	512	valid
200.0ms	1755×	body	256	valid
199.0ms	427×	body	2048	valid
0.0ms	3×	body	256	infinite

Bogosity

preprocess52.0ms (0.9%)

Algorithm

2×	egg-herbie

Rules

1318×	`associate-/l*`
988×	`distribute-lft-in`
978×	`distribute-rgt-in`
836×	`distribute-lft-neg-in`
810×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	25
1	21	25
2	35	25
3	60	25
4	117	25
5	268	25
6	745	25
7	2173	25
8	4843	25
0	1	1

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)

Outputs
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)
(*.f64 -1/2 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(*.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) -1/2)

Compiler

Compiled 10 to 8 computations (20% saved)

simplify59.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1318×	`associate-/l*`
988×	`distribute-lft-in`
978×	`distribute-rgt-in`
836×	`distribute-lft-neg-in`
810×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	25
1	21	25
2	35	25
3	60	25
4	117	25
5	268	25
6	745	25
7	2173	25
8	4843	25

Stop Event

1×	node limit

Counts

1 → 3

Calls

Call 1

Inputs
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)

Outputs
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)
(*.f64 -1/2 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(*.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) -1/2)

eval1.0ms (0%)

Compiler: Compiled 25 to 12 computations (52% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	2	1	3
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	2	2	4

Error

58.6b

Counts

4 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	58.6b	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)

Compiler

Compiled 9 to 7 computations (22.2% saved)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	4.2b	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Compiler

Compiled 24 to 8 computations (66.7% saved)

series1.0ms (0%)

Counts

1 → 8

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
0.0ms	x	@	-inf	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
0.0ms	x	@	inf	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

rewrite35.0ms (0.6%)

Algorithm

1×	egg-rewrite-iter-limit
1×	batch-egg-rewrite

Rules

180×	`add-sqr-sqrt`
172×	`pow1`
172×	`*-un-lft-identity`
170×	`add-exp-log`
168×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	170	11
2	2644	11
0	8	11

Stop Event

1×	iter limit
1×	unsound

Counts

1 → 13

Calls

Call 1

Inputs
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

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

Outputs

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

simplify62.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

898×	`associate-*r/`
804×	`fma-def`
778×	`*-commutative`
712×	`associate-r`
658×	`associate-*l/`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	66	501
1	179	485
2	576	481
3	2145	353

Stop Event

1×	node limit

Counts

21 → 33

Calls

Call 1

Inputs
(*.f64 2 x)
(+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3)))
(+.f64 (.f64 2 x) (+.f64 (.f64 1/3 (pow.f64 x 3)) (*.f64 1/60 (pow.f64 x 5))))
(+.f64 (.f64 2 x) (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (.f64 1/2520 (pow.f64 x 7)) (.f64 1/60 (pow.f64 x 5)))))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(+.f64 (exp.f64 x) (neg.f64 (exp.f64 (neg.f64 x))))
(.f64 1 (.f64 2 (sinh.f64 x)))
(.f64 (sqrt.f64 (.f64 2 (sinh.f64 x))) (sqrt.f64 (*.f64 2 (sinh.f64 x))))
(.f64 (.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) (cbrt.f64 (.f64 2 (sinh.f64 x)))) (cbrt.f64 (*.f64 2 (sinh.f64 x))))
(*.f64 2 (sinh.f64 x))
(/.f64 (-.f64 (.f64 (exp.f64 x) (exp.f64 x)) (.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (+.f64 (.f64 (exp.f64 x) (exp.f64 x)) (+.f64 (.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) (*.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(pow.f64 (*.f64 2 (sinh.f64 x)) 1)
(log.f64 (exp.f64 (*.f64 2 (sinh.f64 x))))
(cbrt.f64 (.f64 (.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (sinh.f64 x))) (*.f64 2 (sinh.f64 x))))
(expm1.f64 (log1p.f64 (*.f64 2 (sinh.f64 x))))
(exp.f64 (log.f64 (*.f64 2 (sinh.f64 x))))
(log1p.f64 (expm1.f64 (*.f64 2 (sinh.f64 x))))

Outputs
(*.f64 2 x)
(+.f64 x x)
(+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3)))
(fma.f64 2 x (*.f64 1/3 (pow.f64 x 3)))
(fma.f64 1/3 (pow.f64 x 3) (+.f64 x x))
(.f64 x (fma.f64 x (.f64 x 1/3) 2))
(+.f64 (.f64 2 x) (+.f64 (.f64 1/3 (pow.f64 x 3)) (*.f64 1/60 (pow.f64 x 5))))
(fma.f64 2 x (fma.f64 1/3 (pow.f64 x 3) (*.f64 1/60 (pow.f64 x 5))))
(fma.f64 1/3 (pow.f64 x 3) (fma.f64 1/60 (pow.f64 x 5) (+.f64 x x)))
(+.f64 (fma.f64 1/60 (pow.f64 x 5) x) (fma.f64 1/3 (pow.f64 x 3) x))
(+.f64 (.f64 2 x) (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (.f64 1/2520 (pow.f64 x 7)) (.f64 1/60 (pow.f64 x 5)))))
(fma.f64 2 x (fma.f64 1/3 (pow.f64 x 3) (fma.f64 1/2520 (pow.f64 x 7) (*.f64 1/60 (pow.f64 x 5)))))
(fma.f64 2 x (fma.f64 1/3 (pow.f64 x 3) (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/2520 (pow.f64 x 7)))))
(fma.f64 x (fma.f64 x (.f64 x 1/3) 2) (fma.f64 1/60 (pow.f64 x 5) (.f64 1/2520 (pow.f64 x 7))))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(+.f64 (exp.f64 x) (neg.f64 (exp.f64 (neg.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(.f64 1 (.f64 2 (sinh.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(.f64 (sqrt.f64 (.f64 2 (sinh.f64 x))) (sqrt.f64 (*.f64 2 (sinh.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(.f64 (.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) (cbrt.f64 (.f64 2 (sinh.f64 x)))) (cbrt.f64 (*.f64 2 (sinh.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(*.f64 2 (sinh.f64 x))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(/.f64 (-.f64 (.f64 (exp.f64 x) (exp.f64 x)) (.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (+.f64 (.f64 (exp.f64 x) (exp.f64 x)) (+.f64 (.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) (*.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (+.f64 (exp.f64 (+.f64 x x)) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (+.f64 1 (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 x -2)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (exp.f64 (*.f64 x -3))) (+.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) -2))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (exp.f64 (*.f64 x -3))) (+.f64 1 (+.f64 (pow.f64 (exp.f64 2) x) (pow.f64 (exp.f64 -2) x))))
(pow.f64 (*.f64 2 (sinh.f64 x)) 1)
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(log.f64 (exp.f64 (*.f64 2 (sinh.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(cbrt.f64 (.f64 (.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (sinh.f64 x))) (*.f64 2 (sinh.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(expm1.f64 (log1p.f64 (*.f64 2 (sinh.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(exp.f64 (log.f64 (*.f64 2 (sinh.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(log1p.f64 (expm1.f64 (*.f64 2 (sinh.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))

eval9.0ms (0.2%)

Compiler: Compiled 479 to 318 computations (33.6% saved)

prune10.0ms (0.2%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	29	4	33
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	30	4	34

Error

Counts

34 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.5b	(/.f64 (+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3))) 2)
▶	0.8b	(/.f64 (+.f64 x x) 2)
▶	0.5b	(/.f64 (.f64 x (fma.f64 x (.f64 x 1/3) 2)) 2)
▶	0.0b	(/.f64 (*.f64 2 (sinh.f64 x)) 2)

Compiler

Compiled 36 to 28 computations (22.2% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(sinh.f64 x)

Compiler

Compiled 15 to 9 computations (40% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite47.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1016×	`associate-r`
846×	`add-sqr-sqrt`
830×	`*-un-lft-identity`
788×	`pow1`
774×	`add-cube-cbrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	5
1	83	5
2	1022	5

Stop Event

1×	node limit

Counts

1 → 31

Calls

Call 1

Inputs
(sinh.f64 x)

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

Outputs

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

simplify54.0ms (1%)

Algorithm

1×	egg-herbie

Rules

704×	`associate-+l-`
606×	`distribute-lft-neg-in`
590×	`associate-*r/`
544×	`associate-+r-`
528×	`unswap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	96	785
1	226	617
2	980	589
3	5174	589

Stop Event

1×	node limit

Counts

43 → 52

Calls

Call 1

Inputs
x
(+.f64 (*.f64 1/6 (pow.f64 x 3)) x)
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/120 (pow.f64 x 5)) x))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/5040 (pow.f64 x 7)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) x)))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(-.f64 (+.f64 (sinh.f64 x) 1) 1)
(-.f64 (/.f64 (exp.f64 x) 2) (/.f64 (exp.f64 (neg.f64 x)) 2))
(*.f64 (sinh.f64 x) 1)
(*.f64 1 (sinh.f64 x))
(*.f64 (sqrt.f64 (sinh.f64 x)) (sqrt.f64 (sinh.f64 x)))
(*.f64 (cbrt.f64 (sinh.f64 x)) (pow.f64 (cbrt.f64 (sinh.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2) (cbrt.f64 (sinh.f64 x)))
(.f64 (.f64 (sinh.f64 x) 2) 1/2)
(.f64 1/2 (.f64 (sinh.f64 x) 2))
(.f64 (.f64 (sqrt.f64 (sinh.f64 x)) (sqrt.f64 (sqrt.f64 (sinh.f64 x)))) (sqrt.f64 (sqrt.f64 (sinh.f64 x))))
(.f64 (.f64 (sqrt.f64 (sinh.f64 x)) (cbrt.f64 (sinh.f64 x))) (cbrt.f64 (sqrt.f64 (sinh.f64 x))))
(.f64 (.f64 (sqrt.f64 (sinh.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2))) (sqrt.f64 (cbrt.f64 (sinh.f64 x))))
(.f64 (.f64 (cbrt.f64 (sinh.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2))) (sqrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2)))
(.f64 (.f64 (cbrt.f64 (sinh.f64 x)) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2)))) (cbrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2) (sqrt.f64 (cbrt.f64 (sinh.f64 x)))) (sqrt.f64 (cbrt.f64 (sinh.f64 x))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2))) (cbrt.f64 (cbrt.f64 (sinh.f64 x))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2) (cbrt.f64 (sqrt.f64 (sinh.f64 x)))) (cbrt.f64 (sqrt.f64 (sinh.f64 x))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2) (*.f64 (cbrt.f64 (cbrt.f64 (sinh.f64 x))) (cbrt.f64 (cbrt.f64 (sinh.f64 x))))) (cbrt.f64 (cbrt.f64 (sinh.f64 x))))
(/.f64 1 (/.f64 2 (*.f64 (sinh.f64 x) 2)))
(/.f64 (*.f64 (sinh.f64 x) 2) 2)
(/.f64 (neg.f64 (*.f64 (sinh.f64 x) 2)) -2)
(pow.f64 (sinh.f64 x) 1)
(pow.f64 (sqrt.f64 (sinh.f64 x)) 2)
(pow.f64 (cbrt.f64 (sinh.f64 x)) 3)
(pow.f64 (pow.f64 (sinh.f64 x) 3) 1/3)
(sqrt.f64 (pow.f64 (sinh.f64 x) 2))
(log.f64 (exp.f64 (sinh.f64 x)))
(cbrt.f64 (pow.f64 (sinh.f64 x) 3))
(expm1.f64 (log1p.f64 (sinh.f64 x)))
(exp.f64 (log.f64 (sinh.f64 x)))
(log1p.f64 (expm1.f64 (sinh.f64 x)))

Outputs
x
(+.f64 (*.f64 1/6 (pow.f64 x 3)) x)
(fma.f64 1/6 (pow.f64 x 3) x)
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/120 (pow.f64 x 5)) x))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 1/120 (pow.f64 x 5) x))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/5040 (pow.f64 x 7)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) x)))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 1/5040 (pow.f64 x 7) (fma.f64 1/120 (pow.f64 x 5) x)))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 1/120 (pow.f64 x 5) (fma.f64 1/5040 (pow.f64 x 7) x)))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x)))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x)))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x)))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x)))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x)))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x)))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x)))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x)))
(-.f64 (+.f64 (sinh.f64 x) 1) 1)
(+.f64 (sinh.f64 x) 0)
(sinh.f64 x)
(-.f64 (/.f64 (exp.f64 x) 2) (/.f64 (exp.f64 (neg.f64 x)) 2))
(+.f64 (sinh.f64 x) 0)
(sinh.f64 x)
(*.f64 (sinh.f64 x) 1)
(+.f64 (sinh.f64 x) 0)
(sinh.f64 x)
(*.f64 1 (sinh.f64 x))
(+.f64 (sinh.f64 x) 0)
(sinh.f64 x)
(*.f64 (sqrt.f64 (sinh.f64 x)) (sqrt.f64 (sinh.f64 x)))
(+.f64 (sinh.f64 x) 0)
(sinh.f64 x)
(*.f64 (cbrt.f64 (sinh.f64 x)) (pow.f64 (cbrt.f64 (sinh.f64 x)) 2))
(+.f64 (sinh.f64 x) 0)
(sinh.f64 x)
(*.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2) (cbrt.f64 (sinh.f64 x)))
(+.f64 (sinh.f64 x) 0)
(sinh.f64 x)
(.f64 (.f64 (sinh.f64 x) 2) 1/2)
(+.f64 (sinh.f64 x) 0)
(sinh.f64 x)
(.f64 1/2 (.f64 (sinh.f64 x) 2))
(+.f64 (sinh.f64 x) 0)
(sinh.f64 x)
(.f64 (.f64 (sqrt.f64 (sinh.f64 x)) (sqrt.f64 (sqrt.f64 (sinh.f64 x)))) (sqrt.f64 (sqrt.f64 (sinh.f64 x))))
(+.f64 (sinh.f64 x) 0)
(sinh.f64 x)
(.f64 (.f64 (sqrt.f64 (sinh.f64 x)) (cbrt.f64 (sinh.f64 x))) (cbrt.f64 (sqrt.f64 (sinh.f64 x))))
(.f64 (sqrt.f64 (sinh.f64 x)) (.f64 (cbrt.f64 (sinh.f64 x)) (cbrt.f64 (sqrt.f64 (sinh.f64 x)))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (sinh.f64 x))) (sqrt.f64 (sinh.f64 x))) (cbrt.f64 (sinh.f64 x)))
(.f64 (.f64 (sqrt.f64 (sinh.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2))) (sqrt.f64 (cbrt.f64 (sinh.f64 x))))
(.f64 (sqrt.f64 (sinh.f64 x)) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2)) (sqrt.f64 (cbrt.f64 (sinh.f64 x)))))
(.f64 (sqrt.f64 (sinh.f64 x)) (.f64 (fabs.f64 (cbrt.f64 (sinh.f64 x))) (sqrt.f64 (cbrt.f64 (sinh.f64 x)))))
(*.f64 (sqrt.f64 (sinh.f64 x)) (pow.f64 (sqrt.f64 (cbrt.f64 (sinh.f64 x))) 3))
(.f64 (.f64 (cbrt.f64 (sinh.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2))) (sqrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2)))
(+.f64 (sinh.f64 x) 0)
(sinh.f64 x)
(.f64 (.f64 (cbrt.f64 (sinh.f64 x)) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2)))) (cbrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2)))
(+.f64 (sinh.f64 x) 0)
(sinh.f64 x)
(.f64 (.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2) (sqrt.f64 (cbrt.f64 (sinh.f64 x)))) (sqrt.f64 (cbrt.f64 (sinh.f64 x))))
(+.f64 (sinh.f64 x) 0)
(sinh.f64 x)
(.f64 (.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2))) (cbrt.f64 (cbrt.f64 (sinh.f64 x))))
(.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2)) (cbrt.f64 (cbrt.f64 (sinh.f64 x)))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2) (cbrt.f64 (sqrt.f64 (sinh.f64 x)))) (cbrt.f64 (sqrt.f64 (sinh.f64 x))))
(.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2) (.f64 (cbrt.f64 (sqrt.f64 (sinh.f64 x))) (cbrt.f64 (sqrt.f64 (sinh.f64 x)))))
(.f64 (cbrt.f64 (sqrt.f64 (sinh.f64 x))) (.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2) (cbrt.f64 (sqrt.f64 (sinh.f64 x)))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2) (*.f64 (cbrt.f64 (cbrt.f64 (sinh.f64 x))) (cbrt.f64 (cbrt.f64 (sinh.f64 x))))) (cbrt.f64 (cbrt.f64 (sinh.f64 x))))
(+.f64 (sinh.f64 x) 0)
(sinh.f64 x)
(/.f64 1 (/.f64 2 (*.f64 (sinh.f64 x) 2)))
(+.f64 (sinh.f64 x) 0)
(sinh.f64 x)
(/.f64 (*.f64 (sinh.f64 x) 2) 2)
(+.f64 (sinh.f64 x) 0)
(sinh.f64 x)
(/.f64 (neg.f64 (*.f64 (sinh.f64 x) 2)) -2)
(+.f64 (sinh.f64 x) 0)
(sinh.f64 x)
(pow.f64 (sinh.f64 x) 1)
(+.f64 (sinh.f64 x) 0)
(sinh.f64 x)
(pow.f64 (sqrt.f64 (sinh.f64 x)) 2)
(+.f64 (sinh.f64 x) 0)
(sinh.f64 x)
(pow.f64 (cbrt.f64 (sinh.f64 x)) 3)
(+.f64 (sinh.f64 x) 0)
(sinh.f64 x)
(pow.f64 (pow.f64 (sinh.f64 x) 3) 1/3)
(+.f64 (sinh.f64 x) 0)
(sinh.f64 x)
(sqrt.f64 (pow.f64 (sinh.f64 x) 2))
(+.f64 (sinh.f64 x) 0)
(sinh.f64 x)
(log.f64 (exp.f64 (sinh.f64 x)))
(+.f64 (sinh.f64 x) 0)
(sinh.f64 x)
(cbrt.f64 (pow.f64 (sinh.f64 x) 3))
(+.f64 (sinh.f64 x) 0)
(sinh.f64 x)
(expm1.f64 (log1p.f64 (sinh.f64 x)))
(+.f64 (sinh.f64 x) 0)
(sinh.f64 x)
(exp.f64 (log.f64 (sinh.f64 x)))
(+.f64 (sinh.f64 x) 0)
(sinh.f64 x)
(log1p.f64 (expm1.f64 (sinh.f64 x)))
(+.f64 (sinh.f64 x) 0)
(sinh.f64 x)

localize17.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 x (*.f64 x 1/3) 2)
✓	0.0b	(.f64 x (fma.f64 x (.f64 x 1/3) 2))
✓	0.4b	(*.f64 x 1/3)

Compiler

Compiled 31 to 21 computations (32.3% saved)

series3.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(*.f64 x 1/3)
1.0ms	x	@	-inf	(.f64 x (fma.f64 x (.f64 x 1/3) 2))
0.0ms	x	@	inf	(.f64 x (fma.f64 x (.f64 x 1/3) 2))
0.0ms	x	@	0	(.f64 x (fma.f64 x (.f64 x 1/3) 2))
0.0ms	x	@	inf	(*.f64 x 1/3)

rewrite60.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1670×	`add-sqr-sqrt`
1650×	`*-un-lft-identity`
1534×	`add-cube-cbrt`
1514×	`add-cbrt-cube`
172×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	43
1	181	43
2	2043	43

Stop Event

1×	node limit

Counts

3 → 51

Calls

Call 1

Inputs
(*.f64 x 1/3)
(.f64 x (fma.f64 x (.f64 x 1/3) 2))
(fma.f64 x (*.f64 x 1/3) 2)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x 1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x 1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x 1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x 1/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 x x) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/3) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x 1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x 1/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x 1/3)))))))

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

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

simplify69.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1506×	`associate-/r*`
1310×	`unswap-sqr`
864×	`distribute-lft-in`
836×	`distribute-rgt-in`
686×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	124	1339
1	282	1321
2	1322	1277
3	6563	1277

Stop Event

1×	node limit

Counts

87 → 73

Calls

Call 1

Inputs
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 2 x)
(+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3)))
(+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3)))
(+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3)))
(*.f64 1/3 (pow.f64 x 3))
(+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3)))
(+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3)))
(+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3)))
(*.f64 1/3 (pow.f64 x 3))
(+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3)))
(+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3)))
(+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3)))
2
(+.f64 2 (*.f64 1/3 (pow.f64 x 2)))
(+.f64 2 (*.f64 1/3 (pow.f64 x 2)))
(+.f64 2 (*.f64 1/3 (pow.f64 x 2)))
(*.f64 1/3 (pow.f64 x 2))
(+.f64 2 (*.f64 1/3 (pow.f64 x 2)))
(+.f64 2 (*.f64 1/3 (pow.f64 x 2)))
(+.f64 2 (*.f64 1/3 (pow.f64 x 2)))
(*.f64 1/3 (pow.f64 x 2))
(+.f64 2 (*.f64 1/3 (pow.f64 x 2)))
(+.f64 2 (*.f64 1/3 (pow.f64 x 2)))
(+.f64 2 (*.f64 1/3 (pow.f64 x 2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 1/3))) 1)
(pow.f64 (*.f64 x 1/3) 1)
(pow.f64 (sqrt.f64 (*.f64 x 1/3)) 2)
(pow.f64 (cbrt.f64 (*.f64 x 1/3)) 3)
(pow.f64 (pow.f64 (*.f64 x 1/3) 3) 1/3)
(sqrt.f64 (.f64 (.f64 x x) 1/9))
(log.f64 (pow.f64 (exp.f64 1/3) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 1/3))))
(cbrt.f64 (pow.f64 (*.f64 x 1/3) 3))
(expm1.f64 (log1p.f64 (*.f64 x 1/3)))
(exp.f64 (log.f64 (*.f64 x 1/3)))
(exp.f64 (.f64 (log.f64 (.f64 x 1/3)) 1))
(log1p.f64 (expm1.f64 (*.f64 x 1/3)))
(+.f64 (.f64 x (.f64 x (.f64 x 1/3))) (.f64 x 2))
(+.f64 (.f64 (.f64 x (.f64 x 1/3)) x) (.f64 2 x))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (fma.f64 x (.f64 x 1/3) 2)))) 1)
(pow.f64 (.f64 x (fma.f64 x (.f64 x 1/3) 2)) 1)
(pow.f64 (sqrt.f64 (.f64 x (fma.f64 x (.f64 x 1/3) 2))) 2)
(pow.f64 (cbrt.f64 (.f64 x (fma.f64 x (.f64 x 1/3) 2))) 3)
(pow.f64 (pow.f64 (.f64 x (fma.f64 x (.f64 x 1/3) 2)) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 x (fma.f64 x (.f64 x 1/3) 2)) 2))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 x (*.f64 x 1/3) 2)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (fma.f64 x (.f64 x 1/3) 2)))))
(cbrt.f64 (pow.f64 (.f64 x (fma.f64 x (.f64 x 1/3) 2)) 3))
(expm1.f64 (log1p.f64 (.f64 x (fma.f64 x (.f64 x 1/3) 2))))
(exp.f64 (log.f64 (.f64 x (fma.f64 x (.f64 x 1/3) 2))))
(exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 x (*.f64 x 1/3) 2))) 1))
(log1p.f64 (expm1.f64 (.f64 x (fma.f64 x (.f64 x 1/3) 2))))
(+.f64 2 (.f64 x (.f64 x 1/3)))
(+.f64 (.f64 x (.f64 x 1/3)) 2)
(+.f64 (.f64 (.f64 x (*.f64 x 1/3)) 1) 2)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (*.f64 x 1/3) 2))) 1)
(.f64 (fma.f64 x (.f64 x 1/3) 2) 1)
(.f64 1 (fma.f64 x (.f64 x 1/3) 2))
(.f64 (sqrt.f64 (fma.f64 x (.f64 x 1/3) 2)) (sqrt.f64 (fma.f64 x (*.f64 x 1/3) 2)))
(.f64 (cbrt.f64 (fma.f64 x (.f64 x 1/3) 2)) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 1/3) 2)) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x 1/3) 2)) 2) (cbrt.f64 (fma.f64 x (*.f64 x 1/3) 2)))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 x 1/3)) (.f64 x (.f64 x 1/3))) 4) (-.f64 (.f64 x (*.f64 x 1/3)) 2))
(/.f64 (+.f64 (pow.f64 (.f64 x (.f64 x 1/3)) 3) 8) (+.f64 (.f64 (.f64 x (.f64 x 1/3)) (.f64 x (.f64 x 1/3))) (-.f64 4 (.f64 (.f64 x (.f64 x 1/3)) 2))))
(pow.f64 (fma.f64 x (*.f64 x 1/3) 2) 1)
(pow.f64 (sqrt.f64 (fma.f64 x (*.f64 x 1/3) 2)) 2)
(pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 1/3) 2)) 3)
(pow.f64 (pow.f64 (fma.f64 x (*.f64 x 1/3) 2) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 x (*.f64 x 1/3) 2) 2))
(log.f64 (exp.f64 (fma.f64 x (*.f64 x 1/3) 2)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (*.f64 x 1/3) 2))))
(cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x 1/3) 2) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (*.f64 x 1/3) 2)))
(exp.f64 (log.f64 (fma.f64 x (*.f64 x 1/3) 2)))
(exp.f64 (.f64 (log.f64 (fma.f64 x (.f64 x 1/3) 2)) 1))
(log1p.f64 (expm1.f64 (fma.f64 x (*.f64 x 1/3) 2)))

Outputs
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 2 x)
(*.f64 x 2)
(+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3)))
(fma.f64 2 x (*.f64 1/3 (pow.f64 x 3)))
(.f64 x (fma.f64 1/3 (.f64 x x) 2))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2))
(+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3)))
(fma.f64 2 x (*.f64 1/3 (pow.f64 x 3)))
(.f64 x (fma.f64 1/3 (.f64 x x) 2))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2))
(+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3)))
(fma.f64 2 x (*.f64 1/3 (pow.f64 x 3)))
(.f64 x (fma.f64 1/3 (.f64 x x) 2))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2))
(*.f64 1/3 (pow.f64 x 3))
(+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3)))
(fma.f64 2 x (*.f64 1/3 (pow.f64 x 3)))
(.f64 x (fma.f64 1/3 (.f64 x x) 2))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2))
(+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3)))
(fma.f64 2 x (*.f64 1/3 (pow.f64 x 3)))
(.f64 x (fma.f64 1/3 (.f64 x x) 2))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2))
(+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3)))
(fma.f64 2 x (*.f64 1/3 (pow.f64 x 3)))
(.f64 x (fma.f64 1/3 (.f64 x x) 2))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2))
(*.f64 1/3 (pow.f64 x 3))
(+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3)))
(fma.f64 2 x (*.f64 1/3 (pow.f64 x 3)))
(.f64 x (fma.f64 1/3 (.f64 x x) 2))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2))
(+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3)))
(fma.f64 2 x (*.f64 1/3 (pow.f64 x 3)))
(.f64 x (fma.f64 1/3 (.f64 x x) 2))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2))
(+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3)))
(fma.f64 2 x (*.f64 1/3 (pow.f64 x 3)))
(.f64 x (fma.f64 1/3 (.f64 x x) 2))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2))
2
(+.f64 2 (*.f64 1/3 (pow.f64 x 2)))
(fma.f64 x (*.f64 1/3 x) 2)
(fma.f64 1/3 (*.f64 x x) 2)
(+.f64 2 (*.f64 1/3 (pow.f64 x 2)))
(fma.f64 x (*.f64 1/3 x) 2)
(fma.f64 1/3 (*.f64 x x) 2)
(+.f64 2 (*.f64 1/3 (pow.f64 x 2)))
(fma.f64 x (*.f64 1/3 x) 2)
(fma.f64 1/3 (*.f64 x x) 2)
(*.f64 1/3 (pow.f64 x 2))
(.f64 1/3 (.f64 x x))
(+.f64 2 (*.f64 1/3 (pow.f64 x 2)))
(fma.f64 x (*.f64 1/3 x) 2)
(fma.f64 1/3 (*.f64 x x) 2)
(+.f64 2 (*.f64 1/3 (pow.f64 x 2)))
(fma.f64 x (*.f64 1/3 x) 2)
(fma.f64 1/3 (*.f64 x x) 2)
(+.f64 2 (*.f64 1/3 (pow.f64 x 2)))
(fma.f64 x (*.f64 1/3 x) 2)
(fma.f64 1/3 (*.f64 x x) 2)
(*.f64 1/3 (pow.f64 x 2))
(.f64 1/3 (.f64 x x))
(+.f64 2 (*.f64 1/3 (pow.f64 x 2)))
(fma.f64 x (*.f64 1/3 x) 2)
(fma.f64 1/3 (*.f64 x x) 2)
(+.f64 2 (*.f64 1/3 (pow.f64 x 2)))
(fma.f64 x (*.f64 1/3 x) 2)
(fma.f64 1/3 (*.f64 x x) 2)
(+.f64 2 (*.f64 1/3 (pow.f64 x 2)))
(fma.f64 x (*.f64 1/3 x) 2)
(fma.f64 1/3 (*.f64 x x) 2)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 1/3))) 1)
(*.f64 1/3 x)
(pow.f64 (*.f64 x 1/3) 1)
(*.f64 1/3 x)
(pow.f64 (sqrt.f64 (*.f64 x 1/3)) 2)
(*.f64 1/3 x)
(pow.f64 (cbrt.f64 (*.f64 x 1/3)) 3)
(*.f64 1/3 x)
(pow.f64 (pow.f64 (*.f64 x 1/3) 3) 1/3)
(*.f64 1/3 x)
(sqrt.f64 (.f64 (.f64 x x) 1/9))
(sqrt.f64 (.f64 x (.f64 x 1/9)))
(fabs.f64 (*.f64 1/3 x))
(log.f64 (pow.f64 (exp.f64 1/3) x))
(*.f64 1/3 x)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 1/3))))
(*.f64 1/3 x)
(cbrt.f64 (pow.f64 (*.f64 x 1/3) 3))
(*.f64 1/3 x)
(expm1.f64 (log1p.f64 (*.f64 x 1/3)))
(*.f64 1/3 x)
(exp.f64 (log.f64 (*.f64 x 1/3)))
(*.f64 1/3 x)
(exp.f64 (.f64 (log.f64 (.f64 x 1/3)) 1))
(*.f64 1/3 x)
(log1p.f64 (expm1.f64 (*.f64 x 1/3)))
(*.f64 1/3 x)
(+.f64 (.f64 x (.f64 x (.f64 x 1/3))) (.f64 x 2))
(fma.f64 2 x (*.f64 1/3 (pow.f64 x 3)))
(.f64 x (fma.f64 1/3 (.f64 x x) 2))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2))
(+.f64 (.f64 (.f64 x (.f64 x 1/3)) x) (.f64 2 x))
(fma.f64 2 x (*.f64 1/3 (pow.f64 x 3)))
(.f64 x (fma.f64 1/3 (.f64 x x) 2))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (fma.f64 x (.f64 x 1/3) 2)))) 1)
(fma.f64 2 x (*.f64 1/3 (pow.f64 x 3)))
(.f64 x (fma.f64 1/3 (.f64 x x) 2))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2))
(pow.f64 (.f64 x (fma.f64 x (.f64 x 1/3) 2)) 1)
(fma.f64 2 x (*.f64 1/3 (pow.f64 x 3)))
(.f64 x (fma.f64 1/3 (.f64 x x) 2))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2))
(pow.f64 (sqrt.f64 (.f64 x (fma.f64 x (.f64 x 1/3) 2))) 2)
(fma.f64 2 x (*.f64 1/3 (pow.f64 x 3)))
(.f64 x (fma.f64 1/3 (.f64 x x) 2))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2))
(pow.f64 (cbrt.f64 (.f64 x (fma.f64 x (.f64 x 1/3) 2))) 3)
(fma.f64 2 x (*.f64 1/3 (pow.f64 x 3)))
(.f64 x (fma.f64 1/3 (.f64 x x) 2))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2))
(pow.f64 (pow.f64 (.f64 x (fma.f64 x (.f64 x 1/3) 2)) 3) 1/3)
(fma.f64 2 x (*.f64 1/3 (pow.f64 x 3)))
(.f64 x (fma.f64 1/3 (.f64 x x) 2))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2))
(sqrt.f64 (pow.f64 (.f64 x (fma.f64 x (.f64 x 1/3) 2)) 2))
(fma.f64 2 x (*.f64 1/3 (pow.f64 x 3)))
(.f64 x (fma.f64 1/3 (.f64 x x) 2))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 x (*.f64 x 1/3) 2)))
(fma.f64 2 x (*.f64 1/3 (pow.f64 x 3)))
(.f64 x (fma.f64 1/3 (.f64 x x) 2))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (fma.f64 x (.f64 x 1/3) 2)))))
(fma.f64 2 x (*.f64 1/3 (pow.f64 x 3)))
(.f64 x (fma.f64 1/3 (.f64 x x) 2))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2))
(cbrt.f64 (pow.f64 (.f64 x (fma.f64 x (.f64 x 1/3) 2)) 3))
(fma.f64 2 x (*.f64 1/3 (pow.f64 x 3)))
(.f64 x (fma.f64 1/3 (.f64 x x) 2))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2))
(expm1.f64 (log1p.f64 (.f64 x (fma.f64 x (.f64 x 1/3) 2))))
(fma.f64 2 x (*.f64 1/3 (pow.f64 x 3)))
(.f64 x (fma.f64 1/3 (.f64 x x) 2))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2))
(exp.f64 (log.f64 (.f64 x (fma.f64 x (.f64 x 1/3) 2))))
(fma.f64 2 x (*.f64 1/3 (pow.f64 x 3)))
(.f64 x (fma.f64 1/3 (.f64 x x) 2))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2))
(exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 x (*.f64 x 1/3) 2))) 1))
(fma.f64 2 x (*.f64 1/3 (pow.f64 x 3)))
(.f64 x (fma.f64 1/3 (.f64 x x) 2))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2))
(log1p.f64 (expm1.f64 (.f64 x (fma.f64 x (.f64 x 1/3) 2))))
(fma.f64 2 x (*.f64 1/3 (pow.f64 x 3)))
(.f64 x (fma.f64 1/3 (.f64 x x) 2))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2))
(+.f64 2 (.f64 x (.f64 x 1/3)))
(fma.f64 x (*.f64 1/3 x) 2)
(fma.f64 1/3 (*.f64 x x) 2)
(+.f64 (.f64 x (.f64 x 1/3)) 2)
(fma.f64 x (*.f64 1/3 x) 2)
(fma.f64 1/3 (*.f64 x x) 2)
(+.f64 (.f64 (.f64 x (*.f64 x 1/3)) 1) 2)
(fma.f64 x (*.f64 1/3 x) 2)
(fma.f64 1/3 (*.f64 x x) 2)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (*.f64 x 1/3) 2))) 1)
(fma.f64 x (*.f64 1/3 x) 2)
(fma.f64 1/3 (*.f64 x x) 2)
(.f64 (fma.f64 x (.f64 x 1/3) 2) 1)
(fma.f64 x (*.f64 1/3 x) 2)
(fma.f64 1/3 (*.f64 x x) 2)
(.f64 1 (fma.f64 x (.f64 x 1/3) 2))
(fma.f64 x (*.f64 1/3 x) 2)
(fma.f64 1/3 (*.f64 x x) 2)
(.f64 (sqrt.f64 (fma.f64 x (.f64 x 1/3) 2)) (sqrt.f64 (fma.f64 x (*.f64 x 1/3) 2)))
(fma.f64 x (*.f64 1/3 x) 2)
(fma.f64 1/3 (*.f64 x x) 2)
(.f64 (cbrt.f64 (fma.f64 x (.f64 x 1/3) 2)) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 1/3) 2)) 2))
(fma.f64 x (*.f64 1/3 x) 2)
(fma.f64 1/3 (*.f64 x x) 2)
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x 1/3) 2)) 2) (cbrt.f64 (fma.f64 x (*.f64 x 1/3) 2)))
(fma.f64 x (*.f64 1/3 x) 2)
(fma.f64 1/3 (*.f64 x x) 2)
(/.f64 (-.f64 (.f64 (.f64 x (.f64 x 1/3)) (.f64 x (.f64 x 1/3))) 4) (-.f64 (.f64 x (*.f64 x 1/3)) 2))
(/.f64 (fma.f64 (.f64 1/3 (.f64 x x)) (.f64 1/3 (.f64 x x)) -4) (fma.f64 x (*.f64 1/3 x) -2))
(/.f64 (fma.f64 x (.f64 1/3 (.f64 1/3 (pow.f64 x 3))) -4) (fma.f64 1/3 (*.f64 x x) -2))
(/.f64 (fma.f64 1/9 (pow.f64 x 4) -4) (fma.f64 1/3 (*.f64 x x) -2))
(/.f64 (+.f64 (pow.f64 (.f64 x (.f64 x 1/3)) 3) 8) (+.f64 (.f64 (.f64 x (.f64 x 1/3)) (.f64 x (.f64 x 1/3))) (-.f64 4 (.f64 (.f64 x (.f64 x 1/3)) 2))))
(/.f64 (+.f64 (pow.f64 (.f64 1/3 (.f64 x x)) 3) 8) (fma.f64 (.f64 1/3 (.f64 x x)) (.f64 1/3 (.f64 x x)) (-.f64 4 (.f64 x (.f64 (*.f64 1/3 x) 2)))))
(/.f64 (+.f64 (.f64 1/27 (pow.f64 (.f64 x x) 3)) 8) (-.f64 (fma.f64 x (.f64 1/3 (.f64 1/3 (pow.f64 x 3))) 4) (.f64 x (.f64 x 2/3))))
(/.f64 (fma.f64 1/27 (pow.f64 x 6) 8) (fma.f64 1/9 (pow.f64 x 4) (fma.f64 x (*.f64 x -2/3) 4)))
(pow.f64 (fma.f64 x (*.f64 x 1/3) 2) 1)
(fma.f64 x (*.f64 1/3 x) 2)
(fma.f64 1/3 (*.f64 x x) 2)
(pow.f64 (sqrt.f64 (fma.f64 x (*.f64 x 1/3) 2)) 2)
(fma.f64 x (*.f64 1/3 x) 2)
(fma.f64 1/3 (*.f64 x x) 2)
(pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 1/3) 2)) 3)
(fma.f64 x (*.f64 1/3 x) 2)
(fma.f64 1/3 (*.f64 x x) 2)
(pow.f64 (pow.f64 (fma.f64 x (*.f64 x 1/3) 2) 3) 1/3)
(fma.f64 x (*.f64 1/3 x) 2)
(fma.f64 1/3 (*.f64 x x) 2)
(sqrt.f64 (pow.f64 (fma.f64 x (*.f64 x 1/3) 2) 2))
(fma.f64 x (*.f64 1/3 x) 2)
(fma.f64 1/3 (*.f64 x x) 2)
(log.f64 (exp.f64 (fma.f64 x (*.f64 x 1/3) 2)))
(fma.f64 x (*.f64 1/3 x) 2)
(fma.f64 1/3 (*.f64 x x) 2)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (*.f64 x 1/3) 2))))
(fma.f64 x (*.f64 1/3 x) 2)
(fma.f64 1/3 (*.f64 x x) 2)
(cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x 1/3) 2) 3))
(fma.f64 x (*.f64 1/3 x) 2)
(fma.f64 1/3 (*.f64 x x) 2)
(expm1.f64 (log1p.f64 (fma.f64 x (*.f64 x 1/3) 2)))
(fma.f64 x (*.f64 1/3 x) 2)
(fma.f64 1/3 (*.f64 x x) 2)
(exp.f64 (log.f64 (fma.f64 x (*.f64 x 1/3) 2)))
(fma.f64 x (*.f64 1/3 x) 2)
(fma.f64 1/3 (*.f64 x x) 2)
(exp.f64 (.f64 (log.f64 (fma.f64 x (.f64 x 1/3) 2)) 1))
(fma.f64 x (*.f64 1/3 x) 2)
(fma.f64 1/3 (*.f64 x x) 2)
(log1p.f64 (expm1.f64 (fma.f64 x (*.f64 x 1/3) 2)))
(fma.f64 x (*.f64 1/3 x) 2)
(fma.f64 1/3 (*.f64 x x) 2)

localize4.0ms (0.1%)

Compiler: Compiled 11 to 5 computations (54.5% saved)

localize22.0ms (0.4%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 1/3 (pow.f64 x 3))

Compiler

Compiled 36 to 28 computations (22.2% saved)

series1.0ms (0%)

Counts

1 → 0

Calls

3 calls:

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

rewrite49.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1234×	`add-sqr-sqrt`
1204×	`*-un-lft-identity`
1140×	`add-cube-cbrt`
1132×	`add-cbrt-cube`
1116×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	149	13
2	1594	13

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/3 (pow.f64 x 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/3 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (cbrt.f64 1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/3 (pow.f64 x 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 6) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/3 (pow.f64 x 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/3 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/3 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/3 (pow.f64 x 3))))))))

simplify56.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1084×	`distribute-rgt-in`
1068×	`distribute-lft-in`
956×	`associate-*l/`
896×	`associate-*r/`
890×	`log-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	38	275
1	97	209
2	326	143
3	1692	143
4	6911	143

Stop Event

1×	node limit

Counts

11 → 14

Calls

Call 1

Inputs
(-.f64 (+.f64 1 (*.f64 1/3 (pow.f64 x 3))) 1)
(pow.f64 (*.f64 1/3 (pow.f64 x 3)) 1)
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 1/3)) 2)
(pow.f64 (*.f64 x (cbrt.f64 1/3)) 3)
(pow.f64 (pow.f64 (*.f64 1/3 (pow.f64 x 3)) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 x 6) 1/9))
(log.f64 (pow.f64 (exp.f64 1/3) (pow.f64 x 3)))
(cbrt.f64 (pow.f64 (*.f64 1/3 (pow.f64 x 3)) 3))
(expm1.f64 (log1p.f64 (*.f64 1/3 (pow.f64 x 3))))
(exp.f64 (log.f64 (*.f64 1/3 (pow.f64 x 3))))
(log1p.f64 (expm1.f64 (*.f64 1/3 (pow.f64 x 3))))

Outputs
(-.f64 (+.f64 1 (*.f64 1/3 (pow.f64 x 3))) 1)
(+.f64 (+.f64 1 (*.f64 1/3 (pow.f64 x 3))) -1)
(+.f64 (*.f64 1/3 (pow.f64 x 3)) 0)
(*.f64 1/3 (pow.f64 x 3))
(pow.f64 (*.f64 1/3 (pow.f64 x 3)) 1)
(+.f64 (+.f64 1 (*.f64 1/3 (pow.f64 x 3))) -1)
(+.f64 (*.f64 1/3 (pow.f64 x 3)) 0)
(*.f64 1/3 (pow.f64 x 3))
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 1/3)) 2)
(+.f64 (+.f64 1 (*.f64 1/3 (pow.f64 x 3))) -1)
(+.f64 (*.f64 1/3 (pow.f64 x 3)) 0)
(*.f64 1/3 (pow.f64 x 3))
(pow.f64 (*.f64 x (cbrt.f64 1/3)) 3)
(+.f64 (+.f64 1 (*.f64 1/3 (pow.f64 x 3))) -1)
(+.f64 (*.f64 1/3 (pow.f64 x 3)) 0)
(*.f64 1/3 (pow.f64 x 3))
(pow.f64 (pow.f64 (*.f64 1/3 (pow.f64 x 3)) 3) 1/3)
(+.f64 (+.f64 1 (*.f64 1/3 (pow.f64 x 3))) -1)
(+.f64 (*.f64 1/3 (pow.f64 x 3)) 0)
(*.f64 1/3 (pow.f64 x 3))
(sqrt.f64 (*.f64 (pow.f64 x 6) 1/9))
(+.f64 (+.f64 1 (*.f64 1/3 (pow.f64 x 3))) -1)
(+.f64 (*.f64 1/3 (pow.f64 x 3)) 0)
(*.f64 1/3 (pow.f64 x 3))
(log.f64 (pow.f64 (exp.f64 1/3) (pow.f64 x 3)))
(+.f64 (+.f64 1 (*.f64 1/3 (pow.f64 x 3))) -1)
(+.f64 (*.f64 1/3 (pow.f64 x 3)) 0)
(*.f64 1/3 (pow.f64 x 3))
(cbrt.f64 (pow.f64 (*.f64 1/3 (pow.f64 x 3)) 3))
(+.f64 (+.f64 1 (*.f64 1/3 (pow.f64 x 3))) -1)
(+.f64 (*.f64 1/3 (pow.f64 x 3)) 0)
(*.f64 1/3 (pow.f64 x 3))
(expm1.f64 (log1p.f64 (*.f64 1/3 (pow.f64 x 3))))
(+.f64 (+.f64 1 (*.f64 1/3 (pow.f64 x 3))) -1)
(+.f64 (*.f64 1/3 (pow.f64 x 3)) 0)
(*.f64 1/3 (pow.f64 x 3))
(exp.f64 (log.f64 (*.f64 1/3 (pow.f64 x 3))))
(+.f64 (+.f64 1 (*.f64 1/3 (pow.f64 x 3))) -1)
(+.f64 (*.f64 1/3 (pow.f64 x 3)) 0)
(*.f64 1/3 (pow.f64 x 3))
(log1p.f64 (expm1.f64 (*.f64 1/3 (pow.f64 x 3))))
(+.f64 (+.f64 1 (*.f64 1/3 (pow.f64 x 3))) -1)
(+.f64 (*.f64 1/3 (pow.f64 x 3)) 0)
(*.f64 1/3 (pow.f64 x 3))

eval53.0ms (0.9%)

Compiler: Compiled 1903 to 1349 computations (29.1% saved)

prune46.0ms (0.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	135	4	139
Fresh	0	0	0
Picked	1	0	1
Done	1	2	3
Total	137	6	143

Error

Counts

143 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.5b	(/.f64 (+.f64 (.f64 (.f64 x (.f64 x 1/3)) x) (.f64 2 x)) 2)
✓	0.8b	(/.f64 (+.f64 x x) 2)
▶	0.5b	(/.f64 (.f64 x (/.f64 (-.f64 (.f64 (.f64 x (.f64 x 1/3)) (.f64 x (.f64 x 1/3))) 4) (-.f64 (.f64 x (.f64 x 1/3)) 2))) 2)
▶	0.5b	(/.f64 (.f64 x (+.f64 (.f64 x (*.f64 x 1/3)) 2)) 2)
▶	60.2b	(/.f64 (.f64 x (.f64 1/3 (*.f64 x x))) 2)
✓	0.0b	(/.f64 (*.f64 2 (sinh.f64 x)) 2)

Compiler

Compiled 75 to 55 computations (26.7% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (.f64 x (.f64 1/3 (*.f64 x x))) 2)
✓	0.1b	(.f64 x (.f64 1/3 (*.f64 x x)))
✓	0.2b	(.f64 1/3 (.f64 x x))

Compiler

Compiled 28 to 14 computations (50% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	(/.f64 (.f64 x (.f64 1/3 (*.f64 x x))) 2)
0.0ms	x	@	0	(.f64 1/3 (.f64 x x))
0.0ms	x	@	inf	(/.f64 (.f64 x (.f64 1/3 (*.f64 x x))) 2)
0.0ms	x	@	inf	(.f64 1/3 (.f64 x x))
0.0ms	x	@	0	(/.f64 (.f64 x (.f64 1/3 (*.f64 x x))) 2)

rewrite65.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1810×	`add-sqr-sqrt`
1776×	`*-un-lft-identity`
1670×	`add-cube-cbrt`
1654×	`add-cbrt-cube`
178×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	57
1	194	45
2	2365	45

Stop Event

1×	node limit

Counts

3 → 56

Calls

Call 1

Inputs
(.f64 1/3 (.f64 x x))
(.f64 x (.f64 1/3 (*.f64 x x)))
(/.f64 (.f64 x (.f64 1/3 (*.f64 x x))) 2)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (*.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/3 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/3 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/3 (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 4) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/3) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/3 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/3 (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/3 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/3 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/3 (*.f64 x x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/3 (*.f64 x x))))))))

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

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

simplify80.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1570×	`associate-/l*`
1128×	`associate-/r*`
972×	`unswap-sqr`
856×	`*-commutative`
766×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	131	1304
1	309	1286
2	1497	1266
3	6063	1266

Stop Event

1×	node limit

Counts

92 → 68

Calls

Call 1

Inputs
(*.f64 1/3 (pow.f64 x 2))
(*.f64 1/3 (pow.f64 x 2))
(*.f64 1/3 (pow.f64 x 2))
(*.f64 1/3 (pow.f64 x 2))
(*.f64 1/3 (pow.f64 x 2))
(*.f64 1/3 (pow.f64 x 2))
(*.f64 1/3 (pow.f64 x 2))
(*.f64 1/3 (pow.f64 x 2))
(*.f64 1/3 (pow.f64 x 2))
(*.f64 1/3 (pow.f64 x 2))
(*.f64 1/3 (pow.f64 x 2))
(*.f64 1/3 (pow.f64 x 2))
(*.f64 1/3 (pow.f64 x 3))
(*.f64 1/3 (pow.f64 x 3))
(*.f64 1/3 (pow.f64 x 3))
(*.f64 1/3 (pow.f64 x 3))
(*.f64 1/3 (pow.f64 x 3))
(*.f64 1/3 (pow.f64 x 3))
(*.f64 1/3 (pow.f64 x 3))
(*.f64 1/3 (pow.f64 x 3))
(*.f64 1/3 (pow.f64 x 3))
(*.f64 1/3 (pow.f64 x 3))
(*.f64 1/3 (pow.f64 x 3))
(*.f64 1/3 (pow.f64 x 3))
(*.f64 1/6 (pow.f64 x 3))
(*.f64 1/6 (pow.f64 x 3))
(*.f64 1/6 (pow.f64 x 3))
(*.f64 1/6 (pow.f64 x 3))
(*.f64 1/6 (pow.f64 x 3))
(*.f64 1/6 (pow.f64 x 3))
(*.f64 1/6 (pow.f64 x 3))
(*.f64 1/6 (pow.f64 x 3))
(*.f64 1/6 (pow.f64 x 3))
(*.f64 1/6 (pow.f64 x 3))
(*.f64 1/6 (pow.f64 x 3))
(*.f64 1/6 (pow.f64 x 3))
(-.f64 (exp.f64 (log1p.f64 (.f64 1/3 (.f64 x x)))) 1)
(pow.f64 (.f64 1/3 (.f64 x x)) 1)
(pow.f64 (*.f64 x (sqrt.f64 1/3)) 2)
(pow.f64 (cbrt.f64 (.f64 1/3 (.f64 x x))) 3)
(pow.f64 (pow.f64 (.f64 1/3 (.f64 x x)) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/9))
(log.f64 (pow.f64 (exp.f64 1/3) (*.f64 x x)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 1/3 (.f64 x x)))))
(cbrt.f64 (pow.f64 (.f64 1/3 (.f64 x x)) 3))
(expm1.f64 (log1p.f64 (.f64 1/3 (.f64 x x))))
(exp.f64 (log.f64 (.f64 1/3 (.f64 x x))))
(exp.f64 (.f64 (log.f64 (.f64 1/3 (*.f64 x x))) 1))
(log1p.f64 (expm1.f64 (.f64 1/3 (.f64 x x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (pow.f64 x 3)))) 1)
(pow.f64 (*.f64 1/3 (pow.f64 x 3)) 1)
(pow.f64 (.f64 (sqrt.f64 (.f64 1/3 x)) x) 2)
(pow.f64 (cbrt.f64 (*.f64 1/3 (pow.f64 x 3))) 3)
(pow.f64 (pow.f64 (*.f64 1/3 (pow.f64 x 3)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 1/3 (pow.f64 x 3)) 2))
(log.f64 (exp.f64 (*.f64 1/3 (pow.f64 x 3))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/3 (pow.f64 x 3)))))
(cbrt.f64 (pow.f64 (*.f64 1/3 (pow.f64 x 3)) 3))
(expm1.f64 (log1p.f64 (*.f64 1/3 (pow.f64 x 3))))
(exp.f64 (log.f64 (*.f64 1/3 (pow.f64 x 3))))
(exp.f64 (.f64 (log.f64 (.f64 1/3 (pow.f64 x 3))) 1))
(log1p.f64 (expm1.f64 (*.f64 1/3 (pow.f64 x 3))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 1/3 (pow.f64 x 3)) 1/2))) 1)
(.f64 x (.f64 (.f64 1/3 (.f64 x x)) 1/2))
(.f64 x (/.f64 1 (/.f64 6 (.f64 x x))))
(.f64 (.f64 1/3 (.f64 x x)) (.f64 x 1/2))
(.f64 (.f64 1/3 (pow.f64 x 3)) 1/2)
(.f64 (.f64 (*.f64 1/3 (pow.f64 x 3)) 1/2) 1)
(.f64 1 (.f64 (*.f64 1/3 (pow.f64 x 3)) 1/2))
(.f64 (sqrt.f64 (.f64 (.f64 1/3 (pow.f64 x 3)) 1/2)) (sqrt.f64 (.f64 (*.f64 1/3 (pow.f64 x 3)) 1/2)))
(.f64 (.f64 (sqrt.f64 (.f64 1/3 x)) x) (.f64 (.f64 (sqrt.f64 (.f64 1/3 x)) x) 1/2))
(.f64 (cbrt.f64 (.f64 (.f64 1/3 (pow.f64 x 3)) 1/2)) (cbrt.f64 (.f64 (pow.f64 (*.f64 1/3 (pow.f64 x 3)) 2) 1/4)))
(.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 1/3 (pow.f64 x 3)) 2) 1/4)) (cbrt.f64 (.f64 (*.f64 1/3 (pow.f64 x 3)) 1/2)))
(.f64 (pow.f64 (cbrt.f64 (.f64 1/3 (pow.f64 x 3))) 2) (.f64 (cbrt.f64 (.f64 1/3 (pow.f64 x 3))) 1/2))
(.f64 (.f64 1/3 x) (.f64 (.f64 x x) 1/2))
(.f64 1/2 (.f64 1/3 (pow.f64 x 3)))
(.f64 (neg.f64 (.f64 1/3 (pow.f64 x 3))) -1/2)
(.f64 (/.f64 x 2) (.f64 1/3 (*.f64 x x)))
(pow.f64 (.f64 (.f64 1/3 (pow.f64 x 3)) 1/2) 1)
(pow.f64 (sqrt.f64 (.f64 (.f64 1/3 (pow.f64 x 3)) 1/2)) 2)
(pow.f64 (cbrt.f64 (.f64 (.f64 1/3 (pow.f64 x 3)) 1/2)) 3)
(pow.f64 (pow.f64 (.f64 (.f64 1/3 (pow.f64 x 3)) 1/2) 3) 1/3)
(pow.f64 (/.f64 2 (*.f64 1/3 (pow.f64 x 3))) -1)
(neg.f64 (/.f64 (*.f64 1/3 (pow.f64 x 3)) -2))
(sqrt.f64 (.f64 (pow.f64 (.f64 1/3 (pow.f64 x 3)) 2) 1/4))
(log.f64 (sqrt.f64 (exp.f64 (*.f64 1/3 (pow.f64 x 3)))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 1/3 (pow.f64 x 3)) 1/2))))
(cbrt.f64 (pow.f64 (.f64 (.f64 1/3 (pow.f64 x 3)) 1/2) 3))
(expm1.f64 (log1p.f64 (.f64 (.f64 1/3 (pow.f64 x 3)) 1/2)))
(exp.f64 (log.f64 (.f64 (.f64 1/3 (pow.f64 x 3)) 1/2)))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 1/3 (pow.f64 x 3)) 1/2)) 1))
(log1p.f64 (expm1.f64 (.f64 (.f64 1/3 (pow.f64 x 3)) 1/2)))

Outputs
(*.f64 1/3 (pow.f64 x 2))
(.f64 1/3 (.f64 x x))
(*.f64 1/3 (pow.f64 x 2))
(.f64 1/3 (.f64 x x))
(*.f64 1/3 (pow.f64 x 2))
(.f64 1/3 (.f64 x x))
(*.f64 1/3 (pow.f64 x 2))
(.f64 1/3 (.f64 x x))
(*.f64 1/3 (pow.f64 x 2))
(.f64 1/3 (.f64 x x))
(*.f64 1/3 (pow.f64 x 2))
(.f64 1/3 (.f64 x x))
(*.f64 1/3 (pow.f64 x 2))
(.f64 1/3 (.f64 x x))
(*.f64 1/3 (pow.f64 x 2))
(.f64 1/3 (.f64 x x))
(*.f64 1/3 (pow.f64 x 2))
(.f64 1/3 (.f64 x x))
(*.f64 1/3 (pow.f64 x 2))
(.f64 1/3 (.f64 x x))
(*.f64 1/3 (pow.f64 x 2))
(.f64 1/3 (.f64 x x))
(*.f64 1/3 (pow.f64 x 2))
(.f64 1/3 (.f64 x x))
(*.f64 1/3 (pow.f64 x 3))
(*.f64 1/3 (pow.f64 x 3))
(*.f64 1/3 (pow.f64 x 3))
(*.f64 1/3 (pow.f64 x 3))
(*.f64 1/3 (pow.f64 x 3))
(*.f64 1/3 (pow.f64 x 3))
(*.f64 1/3 (pow.f64 x 3))
(*.f64 1/3 (pow.f64 x 3))
(*.f64 1/3 (pow.f64 x 3))
(*.f64 1/3 (pow.f64 x 3))
(*.f64 1/3 (pow.f64 x 3))
(*.f64 1/3 (pow.f64 x 3))
(*.f64 1/6 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 1/6)
(*.f64 1/6 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 1/6)
(*.f64 1/6 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 1/6)
(*.f64 1/6 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 1/6)
(*.f64 1/6 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 1/6)
(*.f64 1/6 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 1/6)
(*.f64 1/6 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 1/6)
(*.f64 1/6 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 1/6)
(*.f64 1/6 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 1/6)
(*.f64 1/6 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 1/6)
(*.f64 1/6 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 1/6)
(*.f64 1/6 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 1/6)
(-.f64 (exp.f64 (log1p.f64 (.f64 1/3 (.f64 x x)))) 1)
(.f64 1/3 (.f64 x x))
(pow.f64 (.f64 1/3 (.f64 x x)) 1)
(.f64 1/3 (.f64 x x))
(pow.f64 (*.f64 x (sqrt.f64 1/3)) 2)
(.f64 1/3 (.f64 x x))
(pow.f64 (cbrt.f64 (.f64 1/3 (.f64 x x))) 3)
(.f64 1/3 (.f64 x x))
(pow.f64 (pow.f64 (.f64 1/3 (.f64 x x)) 3) 1/3)
(.f64 1/3 (.f64 x x))
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/9))
(log.f64 (pow.f64 (exp.f64 1/3) (*.f64 x x)))
(.f64 1/3 (.f64 x x))
(log.f64 (+.f64 1 (expm1.f64 (.f64 1/3 (.f64 x x)))))
(.f64 1/3 (.f64 x x))
(cbrt.f64 (pow.f64 (.f64 1/3 (.f64 x x)) 3))
(.f64 1/3 (.f64 x x))
(expm1.f64 (log1p.f64 (.f64 1/3 (.f64 x x))))
(.f64 1/3 (.f64 x x))
(exp.f64 (log.f64 (.f64 1/3 (.f64 x x))))
(.f64 1/3 (.f64 x x))
(exp.f64 (.f64 (log.f64 (.f64 1/3 (*.f64 x x))) 1))
(.f64 1/3 (.f64 x x))
(log1p.f64 (expm1.f64 (.f64 1/3 (.f64 x x))))
(.f64 1/3 (.f64 x x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (pow.f64 x 3)))) 1)
(*.f64 1/3 (pow.f64 x 3))
(pow.f64 (*.f64 1/3 (pow.f64 x 3)) 1)
(*.f64 1/3 (pow.f64 x 3))
(pow.f64 (.f64 (sqrt.f64 (.f64 1/3 x)) x) 2)
(*.f64 1/3 (pow.f64 x 3))
(pow.f64 (cbrt.f64 (*.f64 1/3 (pow.f64 x 3))) 3)
(*.f64 1/3 (pow.f64 x 3))
(pow.f64 (pow.f64 (*.f64 1/3 (pow.f64 x 3)) 3) 1/3)
(*.f64 1/3 (pow.f64 x 3))
(sqrt.f64 (pow.f64 (*.f64 1/3 (pow.f64 x 3)) 2))
(*.f64 1/3 (pow.f64 x 3))
(log.f64 (exp.f64 (*.f64 1/3 (pow.f64 x 3))))
(*.f64 1/3 (pow.f64 x 3))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/3 (pow.f64 x 3)))))
(*.f64 1/3 (pow.f64 x 3))
(cbrt.f64 (pow.f64 (*.f64 1/3 (pow.f64 x 3)) 3))
(*.f64 1/3 (pow.f64 x 3))
(expm1.f64 (log1p.f64 (*.f64 1/3 (pow.f64 x 3))))
(*.f64 1/3 (pow.f64 x 3))
(exp.f64 (log.f64 (*.f64 1/3 (pow.f64 x 3))))
(*.f64 1/3 (pow.f64 x 3))
(exp.f64 (.f64 (log.f64 (.f64 1/3 (pow.f64 x 3))) 1))
(*.f64 1/3 (pow.f64 x 3))
(log1p.f64 (expm1.f64 (*.f64 1/3 (pow.f64 x 3))))
(*.f64 1/3 (pow.f64 x 3))
(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 1/3 (pow.f64 x 3)) 1/2))) 1)
(*.f64 (pow.f64 x 3) 1/6)
(.f64 x (.f64 (.f64 1/3 (.f64 x x)) 1/2))
(*.f64 (pow.f64 x 3) 1/6)
(.f64 x (/.f64 1 (/.f64 6 (.f64 x x))))
(*.f64 (pow.f64 x 3) 1/6)
(.f64 (.f64 1/3 (.f64 x x)) (.f64 x 1/2))
(*.f64 (pow.f64 x 3) 1/6)
(.f64 (.f64 1/3 (pow.f64 x 3)) 1/2)
(*.f64 (pow.f64 x 3) 1/6)
(.f64 (.f64 (*.f64 1/3 (pow.f64 x 3)) 1/2) 1)
(*.f64 (pow.f64 x 3) 1/6)
(.f64 1 (.f64 (*.f64 1/3 (pow.f64 x 3)) 1/2))
(*.f64 (pow.f64 x 3) 1/6)
(.f64 (sqrt.f64 (.f64 (.f64 1/3 (pow.f64 x 3)) 1/2)) (sqrt.f64 (.f64 (*.f64 1/3 (pow.f64 x 3)) 1/2)))
(*.f64 (pow.f64 x 3) 1/6)
(.f64 (.f64 (sqrt.f64 (.f64 1/3 x)) x) (.f64 (.f64 (sqrt.f64 (.f64 1/3 x)) x) 1/2))
(*.f64 (pow.f64 x 3) 1/6)
(.f64 (cbrt.f64 (.f64 (.f64 1/3 (pow.f64 x 3)) 1/2)) (cbrt.f64 (.f64 (pow.f64 (*.f64 1/3 (pow.f64 x 3)) 2) 1/4)))
(.f64 (cbrt.f64 (.f64 (pow.f64 x 3) 1/6)) (cbrt.f64 (.f64 (pow.f64 (.f64 1/3 (pow.f64 x 3)) 2) 1/4)))
(.f64 (cbrt.f64 (.f64 (pow.f64 x 3) 1/6)) (cbrt.f64 (.f64 (pow.f64 (.f64 x x) 3) 1/36)))
(.f64 (cbrt.f64 (.f64 (pow.f64 x 3) 1/6)) (cbrt.f64 (*.f64 (pow.f64 x 6) 1/36)))
(.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 1/3 (pow.f64 x 3)) 2) 1/4)) (cbrt.f64 (.f64 (*.f64 1/3 (pow.f64 x 3)) 1/2)))
(.f64 (cbrt.f64 (.f64 (pow.f64 x 3) 1/6)) (cbrt.f64 (.f64 (pow.f64 (.f64 1/3 (pow.f64 x 3)) 2) 1/4)))
(.f64 (cbrt.f64 (.f64 (pow.f64 x 3) 1/6)) (cbrt.f64 (.f64 (pow.f64 (.f64 x x) 3) 1/36)))
(.f64 (cbrt.f64 (.f64 (pow.f64 x 3) 1/6)) (cbrt.f64 (*.f64 (pow.f64 x 6) 1/36)))
(.f64 (pow.f64 (cbrt.f64 (.f64 1/3 (pow.f64 x 3))) 2) (.f64 (cbrt.f64 (.f64 1/3 (pow.f64 x 3))) 1/2))
(*.f64 (pow.f64 x 3) 1/6)
(.f64 (.f64 1/3 x) (.f64 (.f64 x x) 1/2))
(*.f64 (pow.f64 x 3) 1/6)
(.f64 1/2 (.f64 1/3 (pow.f64 x 3)))
(*.f64 (pow.f64 x 3) 1/6)
(.f64 (neg.f64 (.f64 1/3 (pow.f64 x 3))) -1/2)
(*.f64 (pow.f64 x 3) 1/6)
(.f64 (/.f64 x 2) (.f64 1/3 (*.f64 x x)))
(*.f64 (pow.f64 x 3) 1/6)
(pow.f64 (.f64 (.f64 1/3 (pow.f64 x 3)) 1/2) 1)
(*.f64 (pow.f64 x 3) 1/6)
(pow.f64 (sqrt.f64 (.f64 (.f64 1/3 (pow.f64 x 3)) 1/2)) 2)
(*.f64 (pow.f64 x 3) 1/6)
(pow.f64 (cbrt.f64 (.f64 (.f64 1/3 (pow.f64 x 3)) 1/2)) 3)
(*.f64 (pow.f64 x 3) 1/6)
(pow.f64 (pow.f64 (.f64 (.f64 1/3 (pow.f64 x 3)) 1/2) 3) 1/3)
(*.f64 (pow.f64 x 3) 1/6)
(pow.f64 (/.f64 2 (*.f64 1/3 (pow.f64 x 3))) -1)
(*.f64 (pow.f64 x 3) 1/6)
(neg.f64 (/.f64 (*.f64 1/3 (pow.f64 x 3)) -2))
(*.f64 (pow.f64 x 3) 1/6)
(sqrt.f64 (.f64 (pow.f64 (.f64 1/3 (pow.f64 x 3)) 2) 1/4))
(sqrt.f64 (.f64 (pow.f64 (.f64 x x) 3) 1/36))
(fabs.f64 (*.f64 (pow.f64 x 3) 1/6))
(log.f64 (sqrt.f64 (exp.f64 (*.f64 1/3 (pow.f64 x 3)))))
(log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/3) (pow.f64 x 3))))
(log.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (pow.f64 x 3)))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 1/3 (pow.f64 x 3)) 1/2))))
(*.f64 (pow.f64 x 3) 1/6)
(cbrt.f64 (pow.f64 (.f64 (.f64 1/3 (pow.f64 x 3)) 1/2) 3))
(*.f64 (pow.f64 x 3) 1/6)
(expm1.f64 (log1p.f64 (.f64 (.f64 1/3 (pow.f64 x 3)) 1/2)))
(*.f64 (pow.f64 x 3) 1/6)
(exp.f64 (log.f64 (.f64 (.f64 1/3 (pow.f64 x 3)) 1/2)))
(*.f64 (pow.f64 x 3) 1/6)
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 1/3 (pow.f64 x 3)) 1/2)) 1))
(*.f64 (pow.f64 x 3) 1/6)
(log1p.f64 (expm1.f64 (.f64 (.f64 1/3 (pow.f64 x 3)) 1/2)))
(*.f64 (pow.f64 x 3) 1/6)

localize14.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 x (+.f64 (.f64 x (*.f64 x 1/3)) 2))
✓	0.1b	(.f64 x (.f64 x 1/3))
	0.4b	(*.f64 x 1/3)

Compiler

Compiled 39 to 27 computations (30.8% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(.f64 x (+.f64 (.f64 x (*.f64 x 1/3)) 2))
0.0ms	x	@	0	(.f64 x (+.f64 (.f64 x (*.f64 x 1/3)) 2))
0.0ms	x	@	-inf	(.f64 x (+.f64 (.f64 x (*.f64 x 1/3)) 2))
0.0ms	x	@	0	(.f64 x (.f64 x 1/3))
0.0ms	x	@	inf	(.f64 x (.f64 x 1/3))

rewrite81.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

920×	`*-commutative`
768×	`unswap-sqr`
594×	`swap-sqr`
540×	`associate-*r/`
424×	`associate-*l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	34
1	201	34
2	2535	34

Stop Event

1×	node limit

Counts

2 → 72

Calls

Call 1

Inputs
(.f64 x (.f64 x 1/3))
(.f64 x (+.f64 (.f64 x (*.f64 x 1/3)) 2))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (*.f64 x x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (*.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (*.f64 x x)))) (exp.f64 (log1p.f64 (*.f64 1/3 (*.f64 x x))))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (*.f64 x x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/3 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/3 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (sqrt.f64 1/3)) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/9 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 1/3 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/3 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 1/3)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/3 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/3 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/3 (*.f64 x x))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 2) (*.f64 1/3 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 (*.f64 x x) 1/3 2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 (*.f64 x x) 1/3 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 1 (fma.f64 (*.f64 x x) 1/3 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (*.f64 x x) 1/3 -2) (*.f64 x (+.f64 (*.f64 1/9 (pow.f64 x 4)) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 1/9 (pow.f64 x 4)) (+.f64 4 (*.f64 (*.f64 x x) -2/3))) (*.f64 x (+.f64 8 (pow.f64 (*.f64 x (sqrt.f64 1/3)) 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 x (fma.f64 (*.f64 x x) 1/3 -2)) (-.f64 (*.f64 (pow.f64 x 6) 1/9) (*.f64 (*.f64 x x) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/9) (*.f64 (*.f64 x 2) (-.f64 (*.f64 x 2) (*.f64 1/3 (pow.f64 x 3))))) (+.f64 (pow.f64 (*.f64 1/3 (pow.f64 x 3)) 3) (pow.f64 (*.f64 x 2) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 1/9 (pow.f64 x 4)) -4) (/.f64 (fma.f64 (*.f64 x x) 1/3 -2) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 8 (pow.f64 (*.f64 x (sqrt.f64 1/3)) 6)) (/.f64 (+.f64 (*.f64 1/9 (pow.f64 x 4)) (+.f64 4 (*.f64 (*.f64 x x) -2/3))) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 (*.f64 1/9 (pow.f64 x 4)) -4)) (fma.f64 (*.f64 x x) 1/3 -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 8 (pow.f64 (*.f64 x (sqrt.f64 1/3)) 6))) (+.f64 (*.f64 1/9 (pow.f64 x 4)) (+.f64 4 (*.f64 (*.f64 x x) -2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/9) (*.f64 (*.f64 x x) 4)) (*.f64 x (fma.f64 (*.f64 x x) 1/3 -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 1/3 (pow.f64 x 3)) 3) (pow.f64 (*.f64 x 2) 3)) (+.f64 (*.f64 (pow.f64 x 6) 1/9) (*.f64 (*.f64 x 2) (-.f64 (*.f64 x 2) (*.f64 1/3 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 1/3 (pow.f64 x 3)) 3) (pow.f64 (*.f64 x 2) 3)) (+.f64 (*.f64 (*.f64 x x) 4) (-.f64 (*.f64 (pow.f64 x 6) 1/9) (*.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 4 (*.f64 1/9 (pow.f64 x 4)))) (+.f64 2 (*.f64 (*.f64 x x) -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 (neg.f64 (*.f64 1/9 (pow.f64 x 4))) 4)) (+.f64 (*.f64 (*.f64 x x) -1/3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 -8 (neg.f64 (pow.f64 (*.f64 x (sqrt.f64 1/3)) 6)))) (neg.f64 (+.f64 (*.f64 1/9 (pow.f64 x 4)) (+.f64 4 (*.f64 (*.f64 x x) -2/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (*.f64 x (+.f64 (*.f64 1/9 (pow.f64 x 4)) -4))) (fma.f64 (*.f64 x x) 1/3 -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (*.f64 x (+.f64 8 (pow.f64 (*.f64 x (sqrt.f64 1/3)) 6)))) (+.f64 (*.f64 1/9 (pow.f64 x 4)) (+.f64 4 (*.f64 (*.f64 x x) -2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (-.f64 (*.f64 (pow.f64 x 6) 1/9) (*.f64 (*.f64 x x) 4))) (*.f64 x (fma.f64 (*.f64 x x) 1/3 -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (+.f64 (pow.f64 (*.f64 1/3 (pow.f64 x 3)) 3) (pow.f64 (*.f64 x 2) 3))) (+.f64 (*.f64 (pow.f64 x 6) 1/9) (*.f64 (*.f64 x 2) (-.f64 (*.f64 x 2) (*.f64 1/3 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x (sqrt.f64 (fma.f64 (*.f64 x x) 1/3 2))) (sqrt.f64 (+.f64 (*.f64 1/9 (pow.f64 x 4)) -4))) (sqrt.f64 (fma.f64 (*.f64 x x) 1/3 -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x (sqrt.f64 (fma.f64 (*.f64 x x) 1/3 2))) (sqrt.f64 (+.f64 8 (pow.f64 (*.f64 x (sqrt.f64 1/3)) 6)))) (sqrt.f64 (+.f64 (*.f64 1/9 (pow.f64 x 4)) (+.f64 4 (*.f64 (*.f64 x x) -2/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) 1/3 2)) 2)) (cbrt.f64 (+.f64 (*.f64 1/9 (pow.f64 x 4)) -4))) (cbrt.f64 (fma.f64 (*.f64 x x) 1/3 -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) 1/3 2)) 2)) (cbrt.f64 (+.f64 8 (pow.f64 (*.f64 x (sqrt.f64 1/3)) 6)))) (cbrt.f64 (+.f64 (*.f64 1/9 (pow.f64 x 4)) (+.f64 4 (*.f64 (*.f64 x x) -2/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 4 (*.f64 1/9 (pow.f64 x 4))) x) (+.f64 2 (*.f64 (*.f64 x x) -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (neg.f64 (*.f64 1/9 (pow.f64 x 4))) 4) x) (+.f64 (*.f64 (*.f64 x x) -1/3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -8 (neg.f64 (pow.f64 (*.f64 x (sqrt.f64 1/3)) 6))) x) (neg.f64 (+.f64 (*.f64 1/9 (pow.f64 x 4)) (+.f64 4 (*.f64 (*.f64 x x) -2/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x (+.f64 (*.f64 1/9 (pow.f64 x 4)) -4)) 1) (fma.f64 (*.f64 x x) 1/3 -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x (+.f64 8 (pow.f64 (*.f64 x (sqrt.f64 1/3)) 6))) 1) (+.f64 (*.f64 1/9 (pow.f64 x 4)) (+.f64 4 (*.f64 (*.f64 x x) -2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/9) (*.f64 (*.f64 x x) 4)) 1) (*.f64 x (fma.f64 (*.f64 x x) 1/3 -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (*.f64 1/3 (pow.f64 x 3)) 3) (pow.f64 (*.f64 x 2) 3)) 1) (+.f64 (*.f64 (pow.f64 x 6) 1/9) (*.f64 (*.f64 x 2) (-.f64 (*.f64 x 2) (*.f64 1/3 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 1/9 (pow.f64 x 4)) -4)) (*.f64 x (sqrt.f64 (fma.f64 (*.f64 x x) 1/3 2)))) (sqrt.f64 (fma.f64 (*.f64 x x) 1/3 -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 8 (pow.f64 (*.f64 x (sqrt.f64 1/3)) 6))) (*.f64 x (sqrt.f64 (fma.f64 (*.f64 x x) 1/3 2)))) (sqrt.f64 (+.f64 (*.f64 1/9 (pow.f64 x 4)) (+.f64 4 (*.f64 (*.f64 x x) -2/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (+.f64 (*.f64 1/9 (pow.f64 x 4)) -4)) 1) (fma.f64 (*.f64 x x) 1/3 -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (+.f64 (*.f64 1/9 (pow.f64 x 4)) -4)) (sqrt.f64 (fma.f64 (*.f64 x x) 1/3 -2))) (sqrt.f64 (fma.f64 (*.f64 x x) 1/3 -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (+.f64 (*.f64 1/9 (pow.f64 x 4)) -4)) (*.f64 (cbrt.f64 (fma.f64 (*.f64 x x) 1/3 -2)) (cbrt.f64 (fma.f64 (*.f64 x x) 1/3 -2)))) (cbrt.f64 (fma.f64 (*.f64 x x) 1/3 -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (+.f64 8 (pow.f64 (*.f64 x (sqrt.f64 1/3)) 6))) 1) (+.f64 (*.f64 1/9 (pow.f64 x 4)) (+.f64 4 (*.f64 (*.f64 x x) -2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (+.f64 8 (pow.f64 (*.f64 x (sqrt.f64 1/3)) 6))) (sqrt.f64 (+.f64 (*.f64 1/9 (pow.f64 x 4)) (+.f64 4 (*.f64 (*.f64 x x) -2/3))))) (sqrt.f64 (+.f64 (*.f64 1/9 (pow.f64 x 4)) (+.f64 4 (*.f64 (*.f64 x x) -2/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (+.f64 8 (pow.f64 (*.f64 x (sqrt.f64 1/3)) 6))) (*.f64 (cbrt.f64 (+.f64 (*.f64 1/9 (pow.f64 x 4)) (+.f64 4 (*.f64 (*.f64 x x) -2/3)))) (cbrt.f64 (+.f64 (*.f64 1/9 (pow.f64 x 4)) (+.f64 4 (*.f64 (*.f64 x x) -2/3)))))) (cbrt.f64 (+.f64 (*.f64 1/9 (pow.f64 x 4)) (+.f64 4 (*.f64 (*.f64 x x) -2/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x x) 4) (*.f64 (pow.f64 x 6) 1/9)) (-.f64 (*.f64 x 2) (*.f64 1/3 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 (*.f64 x x) 1/3 2)))) (exp.f64 (log1p.f64 (*.f64 x (fma.f64 (*.f64 x x) 1/3 2))))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 (*.f64 x x) 1/3 2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (fma.f64 (*.f64 x x) 1/3 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (fma.f64 (*.f64 x x) 1/3 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (fma.f64 (*.f64 x x) 1/3 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (fma.f64 (*.f64 x x) 1/3 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (fma.f64 (*.f64 x x) 1/3 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (fma.f64 (*.f64 x x) 1/3 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 (*.f64 x x) 1/3 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (fma.f64 (*.f64 x x) 1/3 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 x x) 1/3 2) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (fma.f64 (*.f64 x x) 1/3 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (fma.f64 (*.f64 x x) 1/3 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (fma.f64 (*.f64 x x) 1/3 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 1/3 (*.f64 x x)) (*.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/3 (*.f64 x x)) x (*.f64 x 2))))))

simplify96.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1112×	`associate-/l*`
1066×	`associate-+r+`
1000×	`times-frac`
896×	`*-commutative`
664×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	213	3548
1	576	3376
2	2106	3376
3	7670	3376

Stop Event

1×	node limit

Counts

96 → 114

Calls

Call 1

Inputs
(*.f64 1/3 (pow.f64 x 2))
(*.f64 1/3 (pow.f64 x 2))
(*.f64 1/3 (pow.f64 x 2))
(*.f64 1/3 (pow.f64 x 2))
(*.f64 1/3 (pow.f64 x 2))
(*.f64 1/3 (pow.f64 x 2))
(*.f64 1/3 (pow.f64 x 2))
(*.f64 1/3 (pow.f64 x 2))
(*.f64 1/3 (pow.f64 x 2))
(*.f64 1/3 (pow.f64 x 2))
(*.f64 1/3 (pow.f64 x 2))
(*.f64 1/3 (pow.f64 x 2))
(*.f64 2 x)
(+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3)))
(+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3)))
(+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3)))
(*.f64 1/3 (pow.f64 x 3))
(+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3)))
(+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3)))
(+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3)))
(*.f64 1/3 (pow.f64 x 3))
(+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3)))
(+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3)))
(+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3)))
(+.f64 (exp.f64 (log1p.f64 (.f64 1/3 (.f64 x x)))) -1)
(-.f64 (exp.f64 (log1p.f64 (.f64 1/3 (.f64 x x)))) 1)
(/.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (.f64 1/3 (.f64 x x)))) (exp.f64 (log1p.f64 (.f64 1/3 (.f64 x x))))) 1) (+.f64 (exp.f64 (log1p.f64 (.f64 1/3 (*.f64 x x)))) 1))
(pow.f64 (.f64 1/3 (.f64 x x)) 1)
(pow.f64 (*.f64 x (sqrt.f64 1/3)) 2)
(pow.f64 (cbrt.f64 (.f64 1/3 (.f64 x x))) 3)
(pow.f64 (pow.f64 (*.f64 x (sqrt.f64 1/3)) 6) 1/3)
(sqrt.f64 (*.f64 1/9 (pow.f64 x 4)))
(log.f64 (exp.f64 (.f64 1/3 (.f64 x x))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 1/3 (.f64 x x)))))
(cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 1/3)) 6))
(expm1.f64 (log1p.f64 (.f64 1/3 (.f64 x x))))
(exp.f64 (log.f64 (.f64 1/3 (.f64 x x))))
(log1p.f64 (expm1.f64 (.f64 1/3 (.f64 x x))))
(+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 x 2))
(+.f64 (.f64 x 2) (.f64 1/3 (pow.f64 x 3)))
(+.f64 (exp.f64 (log1p.f64 (.f64 x (fma.f64 (.f64 x x) 1/3 2)))) -1)
(-.f64 (exp.f64 (log1p.f64 (.f64 x (fma.f64 (.f64 x x) 1/3 2)))) 1)
(/.f64 x (/.f64 1 (fma.f64 (*.f64 x x) 1/3 2)))
(/.f64 1 (/.f64 (fma.f64 (.f64 x x) 1/3 -2) (.f64 x (+.f64 (*.f64 1/9 (pow.f64 x 4)) -4))))
(/.f64 1 (/.f64 (+.f64 (.f64 1/9 (pow.f64 x 4)) (+.f64 4 (.f64 (.f64 x x) -2/3))) (.f64 x (+.f64 8 (pow.f64 (*.f64 x (sqrt.f64 1/3)) 6)))))
(/.f64 1 (/.f64 (.f64 x (fma.f64 (.f64 x x) 1/3 -2)) (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 (*.f64 x x) 4))))
(/.f64 1 (/.f64 (+.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 (.f64 x 2) (-.f64 (.f64 x 2) (.f64 1/3 (pow.f64 x 3))))) (+.f64 (pow.f64 (.f64 1/3 (pow.f64 x 3)) 3) (pow.f64 (*.f64 x 2) 3))))
(/.f64 (+.f64 (.f64 1/9 (pow.f64 x 4)) -4) (/.f64 (fma.f64 (.f64 x x) 1/3 -2) x))
(/.f64 (+.f64 8 (pow.f64 (.f64 x (sqrt.f64 1/3)) 6)) (/.f64 (+.f64 (.f64 1/9 (pow.f64 x 4)) (+.f64 4 (.f64 (.f64 x x) -2/3))) x))
(/.f64 (.f64 x (+.f64 (.f64 1/9 (pow.f64 x 4)) -4)) (fma.f64 (*.f64 x x) 1/3 -2))
(/.f64 (.f64 x (+.f64 8 (pow.f64 (.f64 x (sqrt.f64 1/3)) 6))) (+.f64 (.f64 1/9 (pow.f64 x 4)) (+.f64 4 (.f64 (*.f64 x x) -2/3))))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 (.f64 x x) 4)) (.f64 x (fma.f64 (*.f64 x x) 1/3 -2)))
(/.f64 (+.f64 (pow.f64 (.f64 1/3 (pow.f64 x 3)) 3) (pow.f64 (.f64 x 2) 3)) (+.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 (.f64 x 2) (-.f64 (.f64 x 2) (*.f64 1/3 (pow.f64 x 3))))))
(/.f64 (+.f64 (pow.f64 (.f64 1/3 (pow.f64 x 3)) 3) (pow.f64 (.f64 x 2) 3)) (+.f64 (.f64 (.f64 x x) 4) (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 x 2)))))
(/.f64 (.f64 x (-.f64 4 (.f64 1/9 (pow.f64 x 4)))) (+.f64 2 (.f64 (.f64 x x) -1/3)))
(/.f64 (.f64 x (+.f64 (neg.f64 (.f64 1/9 (pow.f64 x 4))) 4)) (+.f64 (.f64 (.f64 x x) -1/3) 2))
(/.f64 (.f64 x (+.f64 -8 (neg.f64 (pow.f64 (.f64 x (sqrt.f64 1/3)) 6)))) (neg.f64 (+.f64 (.f64 1/9 (pow.f64 x 4)) (+.f64 4 (.f64 (*.f64 x x) -2/3)))))
(/.f64 (.f64 1 (.f64 x (+.f64 (.f64 1/9 (pow.f64 x 4)) -4))) (fma.f64 (.f64 x x) 1/3 -2))
(/.f64 (.f64 1 (.f64 x (+.f64 8 (pow.f64 (.f64 x (sqrt.f64 1/3)) 6)))) (+.f64 (.f64 1/9 (pow.f64 x 4)) (+.f64 4 (.f64 (.f64 x x) -2/3))))
(/.f64 (.f64 1 (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 (.f64 x x) 4))) (.f64 x (fma.f64 (.f64 x x) 1/3 -2)))
(/.f64 (.f64 1 (+.f64 (pow.f64 (.f64 1/3 (pow.f64 x 3)) 3) (pow.f64 (.f64 x 2) 3))) (+.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 (.f64 x 2) (-.f64 (.f64 x 2) (.f64 1/3 (pow.f64 x 3))))))
(/.f64 (.f64 (.f64 x (sqrt.f64 (fma.f64 (.f64 x x) 1/3 2))) (sqrt.f64 (+.f64 (.f64 1/9 (pow.f64 x 4)) -4))) (sqrt.f64 (fma.f64 (*.f64 x x) 1/3 -2)))
(/.f64 (.f64 (.f64 x (sqrt.f64 (fma.f64 (.f64 x x) 1/3 2))) (sqrt.f64 (+.f64 8 (pow.f64 (.f64 x (sqrt.f64 1/3)) 6)))) (sqrt.f64 (+.f64 (.f64 1/9 (pow.f64 x 4)) (+.f64 4 (.f64 (*.f64 x x) -2/3)))))
(/.f64 (.f64 (.f64 x (pow.f64 (cbrt.f64 (fma.f64 (.f64 x x) 1/3 2)) 2)) (cbrt.f64 (+.f64 (.f64 1/9 (pow.f64 x 4)) -4))) (cbrt.f64 (fma.f64 (*.f64 x x) 1/3 -2)))
(/.f64 (.f64 (.f64 x (pow.f64 (cbrt.f64 (fma.f64 (.f64 x x) 1/3 2)) 2)) (cbrt.f64 (+.f64 8 (pow.f64 (.f64 x (sqrt.f64 1/3)) 6)))) (cbrt.f64 (+.f64 (.f64 1/9 (pow.f64 x 4)) (+.f64 4 (.f64 (*.f64 x x) -2/3)))))
(/.f64 (.f64 (-.f64 4 (.f64 1/9 (pow.f64 x 4))) x) (+.f64 2 (.f64 (.f64 x x) -1/3)))
(/.f64 (.f64 (+.f64 (neg.f64 (.f64 1/9 (pow.f64 x 4))) 4) x) (+.f64 (.f64 (.f64 x x) -1/3) 2))
(/.f64 (.f64 (+.f64 -8 (neg.f64 (pow.f64 (.f64 x (sqrt.f64 1/3)) 6))) x) (neg.f64 (+.f64 (.f64 1/9 (pow.f64 x 4)) (+.f64 4 (.f64 (*.f64 x x) -2/3)))))
(/.f64 (.f64 (.f64 x (+.f64 (.f64 1/9 (pow.f64 x 4)) -4)) 1) (fma.f64 (.f64 x x) 1/3 -2))
(/.f64 (.f64 (.f64 x (+.f64 8 (pow.f64 (.f64 x (sqrt.f64 1/3)) 6))) 1) (+.f64 (.f64 1/9 (pow.f64 x 4)) (+.f64 4 (.f64 (.f64 x x) -2/3))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 (.f64 x x) 4)) 1) (.f64 x (fma.f64 (.f64 x x) 1/3 -2)))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 1/3 (pow.f64 x 3)) 3) (pow.f64 (.f64 x 2) 3)) 1) (+.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 (.f64 x 2) (-.f64 (.f64 x 2) (.f64 1/3 (pow.f64 x 3))))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (.f64 1/9 (pow.f64 x 4)) -4)) (.f64 x (sqrt.f64 (fma.f64 (.f64 x x) 1/3 2)))) (sqrt.f64 (fma.f64 (*.f64 x x) 1/3 -2)))
(/.f64 (.f64 (sqrt.f64 (+.f64 8 (pow.f64 (.f64 x (sqrt.f64 1/3)) 6))) (.f64 x (sqrt.f64 (fma.f64 (.f64 x x) 1/3 2)))) (sqrt.f64 (+.f64 (.f64 1/9 (pow.f64 x 4)) (+.f64 4 (.f64 (*.f64 x x) -2/3)))))
(/.f64 (/.f64 (.f64 x (+.f64 (.f64 1/9 (pow.f64 x 4)) -4)) 1) (fma.f64 (*.f64 x x) 1/3 -2))
(/.f64 (/.f64 (.f64 x (+.f64 (.f64 1/9 (pow.f64 x 4)) -4)) (sqrt.f64 (fma.f64 (.f64 x x) 1/3 -2))) (sqrt.f64 (fma.f64 (.f64 x x) 1/3 -2)))
(/.f64 (/.f64 (.f64 x (+.f64 (.f64 1/9 (pow.f64 x 4)) -4)) (.f64 (cbrt.f64 (fma.f64 (.f64 x x) 1/3 -2)) (cbrt.f64 (fma.f64 (.f64 x x) 1/3 -2)))) (cbrt.f64 (fma.f64 (.f64 x x) 1/3 -2)))
(/.f64 (/.f64 (.f64 x (+.f64 8 (pow.f64 (.f64 x (sqrt.f64 1/3)) 6))) 1) (+.f64 (.f64 1/9 (pow.f64 x 4)) (+.f64 4 (.f64 (*.f64 x x) -2/3))))
(/.f64 (/.f64 (.f64 x (+.f64 8 (pow.f64 (.f64 x (sqrt.f64 1/3)) 6))) (sqrt.f64 (+.f64 (.f64 1/9 (pow.f64 x 4)) (+.f64 4 (.f64 (.f64 x x) -2/3))))) (sqrt.f64 (+.f64 (.f64 1/9 (pow.f64 x 4)) (+.f64 4 (.f64 (.f64 x x) -2/3)))))
(/.f64 (/.f64 (.f64 x (+.f64 8 (pow.f64 (.f64 x (sqrt.f64 1/3)) 6))) (.f64 (cbrt.f64 (+.f64 (.f64 1/9 (pow.f64 x 4)) (+.f64 4 (.f64 (.f64 x x) -2/3)))) (cbrt.f64 (+.f64 (.f64 1/9 (pow.f64 x 4)) (+.f64 4 (.f64 (.f64 x x) -2/3)))))) (cbrt.f64 (+.f64 (.f64 1/9 (pow.f64 x 4)) (+.f64 4 (.f64 (.f64 x x) -2/3)))))
(/.f64 (-.f64 (.f64 (.f64 x x) 4) (.f64 (pow.f64 x 6) 1/9)) (-.f64 (.f64 x 2) (*.f64 1/3 (pow.f64 x 3))))
(/.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (.f64 x (fma.f64 (.f64 x x) 1/3 2)))) (exp.f64 (log1p.f64 (.f64 x (fma.f64 (.f64 x x) 1/3 2))))) 1) (+.f64 (exp.f64 (log1p.f64 (.f64 x (fma.f64 (*.f64 x x) 1/3 2)))) 1))
(pow.f64 (.f64 x (fma.f64 (.f64 x x) 1/3 2)) 1)
(pow.f64 (sqrt.f64 (.f64 x (fma.f64 (.f64 x x) 1/3 2))) 2)
(pow.f64 (cbrt.f64 (.f64 x (fma.f64 (.f64 x x) 1/3 2))) 3)
(pow.f64 (pow.f64 (.f64 x (fma.f64 (.f64 x x) 1/3 2)) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 x (fma.f64 (.f64 x x) 1/3 2)) 2))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 (*.f64 x x) 1/3 2)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (fma.f64 (.f64 x x) 1/3 2)))))
(cbrt.f64 (pow.f64 (.f64 x (fma.f64 (.f64 x x) 1/3 2)) 3))
(cbrt.f64 (.f64 (pow.f64 (fma.f64 (.f64 x x) 1/3 2) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (.f64 x (fma.f64 (.f64 x x) 1/3 2))))
(exp.f64 (log.f64 (.f64 x (fma.f64 (.f64 x x) 1/3 2))))
(log1p.f64 (expm1.f64 (.f64 x (fma.f64 (.f64 x x) 1/3 2))))
(fma.f64 x (.f64 1/3 (.f64 x x)) (*.f64 x 2))
(fma.f64 (.f64 1/3 (.f64 x x)) x (*.f64 x 2))

Outputs
(*.f64 1/3 (pow.f64 x 2))
(.f64 1/3 (.f64 x x))
(*.f64 1/3 (pow.f64 x 2))
(.f64 1/3 (.f64 x x))
(*.f64 1/3 (pow.f64 x 2))
(.f64 1/3 (.f64 x x))
(*.f64 1/3 (pow.f64 x 2))
(.f64 1/3 (.f64 x x))
(*.f64 1/3 (pow.f64 x 2))
(.f64 1/3 (.f64 x x))
(*.f64 1/3 (pow.f64 x 2))
(.f64 1/3 (.f64 x x))
(*.f64 1/3 (pow.f64 x 2))
(.f64 1/3 (.f64 x x))
(*.f64 1/3 (pow.f64 x 2))
(.f64 1/3 (.f64 x x))
(*.f64 1/3 (pow.f64 x 2))
(.f64 1/3 (.f64 x x))
(*.f64 1/3 (pow.f64 x 2))
(.f64 1/3 (.f64 x x))
(*.f64 1/3 (pow.f64 x 2))
(.f64 1/3 (.f64 x x))
(*.f64 1/3 (pow.f64 x 2))
(.f64 1/3 (.f64 x x))
(*.f64 2 x)
(*.f64 x 2)
(+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3)))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2))
(.f64 x (fma.f64 1/3 (.f64 x x) 2))
(+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3)))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2))
(.f64 x (fma.f64 1/3 (.f64 x x) 2))
(+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3)))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2))
(.f64 x (fma.f64 1/3 (.f64 x x) 2))
(*.f64 1/3 (pow.f64 x 3))
(+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3)))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2))
(.f64 x (fma.f64 1/3 (.f64 x x) 2))
(+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3)))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2))
(.f64 x (fma.f64 1/3 (.f64 x x) 2))
(+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3)))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2))
(.f64 x (fma.f64 1/3 (.f64 x x) 2))
(*.f64 1/3 (pow.f64 x 3))
(+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3)))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2))
(.f64 x (fma.f64 1/3 (.f64 x x) 2))
(+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3)))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2))
(.f64 x (fma.f64 1/3 (.f64 x x) 2))
(+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3)))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2))
(.f64 x (fma.f64 1/3 (.f64 x x) 2))
(+.f64 (exp.f64 (log1p.f64 (.f64 1/3 (.f64 x x)))) -1)
(.f64 1/3 (.f64 x x))
(-.f64 (exp.f64 (log1p.f64 (.f64 1/3 (.f64 x x)))) 1)
(.f64 1/3 (.f64 x x))
(/.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (.f64 1/3 (.f64 x x)))) (exp.f64 (log1p.f64 (.f64 1/3 (.f64 x x))))) 1) (+.f64 (exp.f64 (log1p.f64 (.f64 1/3 (*.f64 x x)))) 1))
(/.f64 (.f64 (+.f64 (exp.f64 (log1p.f64 (.f64 1/3 (.f64 x x)))) 1) (.f64 1/3 (.f64 x x))) (+.f64 (exp.f64 (log1p.f64 (.f64 1/3 (*.f64 x x)))) 1))
(/.f64 (expm1.f64 (.f64 2 (log1p.f64 (.f64 1/3 (.f64 x x))))) (fma.f64 1/3 (.f64 x x) 2))
(pow.f64 (.f64 1/3 (.f64 x x)) 1)
(.f64 1/3 (.f64 x x))
(pow.f64 (*.f64 x (sqrt.f64 1/3)) 2)
(.f64 1/3 (.f64 x x))
(pow.f64 (cbrt.f64 (.f64 1/3 (.f64 x x))) 3)
(.f64 1/3 (.f64 x x))
(pow.f64 (pow.f64 (*.f64 x (sqrt.f64 1/3)) 6) 1/3)
(cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 1/3)) 6))
(sqrt.f64 (*.f64 1/9 (pow.f64 x 4)))
(log.f64 (exp.f64 (.f64 1/3 (.f64 x x))))
(.f64 1/3 (.f64 x x))
(log.f64 (+.f64 1 (expm1.f64 (.f64 1/3 (.f64 x x)))))
(.f64 1/3 (.f64 x x))
(cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 1/3)) 6))
(expm1.f64 (log1p.f64 (.f64 1/3 (.f64 x x))))
(.f64 1/3 (.f64 x x))
(exp.f64 (log.f64 (.f64 1/3 (.f64 x x))))
(.f64 1/3 (.f64 x x))
(log1p.f64 (expm1.f64 (.f64 1/3 (.f64 x x))))
(.f64 1/3 (.f64 x x))
(+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 x 2))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2))
(.f64 x (fma.f64 1/3 (.f64 x x) 2))
(+.f64 (.f64 x 2) (.f64 1/3 (pow.f64 x 3)))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2))
(.f64 x (fma.f64 1/3 (.f64 x x) 2))
(+.f64 (exp.f64 (log1p.f64 (.f64 x (fma.f64 (.f64 x x) 1/3 2)))) -1)
(fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2))
(.f64 x (fma.f64 1/3 (.f64 x x) 2))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (fma.f64 (.f64 x x) 1/3 2)))) 1)
(fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2))
(.f64 x (fma.f64 1/3 (.f64 x x) 2))
(/.f64 x (/.f64 1 (fma.f64 (*.f64 x x) 1/3 2)))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2))
(.f64 x (fma.f64 1/3 (.f64 x x) 2))
(/.f64 1 (/.f64 (fma.f64 (.f64 x x) 1/3 -2) (.f64 x (+.f64 (*.f64 1/9 (pow.f64 x 4)) -4))))
(/.f64 x (/.f64 (fma.f64 (*.f64 x x) 1/3 -2) (fma.f64 1/9 (pow.f64 x 4) -4)))
(.f64 x (/.f64 (fma.f64 1/9 (pow.f64 x 4) -4) (fma.f64 1/3 (.f64 x x) -2)))
(/.f64 1 (/.f64 (+.f64 (.f64 1/9 (pow.f64 x 4)) (+.f64 4 (.f64 (.f64 x x) -2/3))) (.f64 x (+.f64 8 (pow.f64 (*.f64 x (sqrt.f64 1/3)) 6)))))
(/.f64 x (/.f64 (fma.f64 1/9 (pow.f64 x 4) (+.f64 4 (.f64 x (.f64 x -2/3)))) (+.f64 (pow.f64 (*.f64 x (sqrt.f64 1/3)) 6) 8)))
(.f64 x (/.f64 (+.f64 (pow.f64 (.f64 x (sqrt.f64 1/3)) 6) 8) (fma.f64 1/9 (pow.f64 x 4) (fma.f64 x (*.f64 x -2/3) 4))))
(/.f64 (.f64 x (+.f64 (pow.f64 (.f64 x (sqrt.f64 1/3)) 6) 8)) (fma.f64 x (*.f64 x -2/3) (fma.f64 1/9 (pow.f64 x 4) 4)))
(/.f64 1 (/.f64 (.f64 x (fma.f64 (.f64 x x) 1/3 -2)) (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 (*.f64 x x) 4))))
(/.f64 x (/.f64 (fma.f64 (*.f64 x x) 1/3 -2) (fma.f64 1/9 (pow.f64 x 4) -4)))
(.f64 x (/.f64 (fma.f64 1/9 (pow.f64 x 4) -4) (fma.f64 1/3 (.f64 x x) -2)))
(/.f64 1 (/.f64 (+.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 (.f64 x 2) (-.f64 (.f64 x 2) (.f64 1/3 (pow.f64 x 3))))) (+.f64 (pow.f64 (.f64 1/3 (pow.f64 x 3)) 3) (pow.f64 (*.f64 x 2) 3))))
(/.f64 (+.f64 (pow.f64 (.f64 1/3 (pow.f64 x 3)) 3) (pow.f64 (.f64 x 2) 3)) (fma.f64 (pow.f64 x 6) 1/9 (.f64 (.f64 x 2) (+.f64 (.f64 x 2) (.f64 -1/3 (pow.f64 x 3))))))
(/.f64 (fma.f64 (pow.f64 x 3) 8 (pow.f64 (.f64 1/3 (pow.f64 x 3)) 3)) (fma.f64 (.f64 x 2) (fma.f64 x 2 (.f64 (pow.f64 x 3) -1/3)) (.f64 1/9 (pow.f64 x 6))))
(/.f64 (fma.f64 (pow.f64 x 3) 8 (.f64 1/27 (pow.f64 (pow.f64 x 3/2) 6))) (fma.f64 x (.f64 x 4) (fma.f64 1/3 (.f64 (pow.f64 x 4) -2) (.f64 1/9 (pow.f64 x 6)))))
(/.f64 (+.f64 (.f64 1/9 (pow.f64 x 4)) -4) (/.f64 (fma.f64 (.f64 x x) 1/3 -2) x))
(/.f64 x (/.f64 (fma.f64 (*.f64 x x) 1/3 -2) (fma.f64 1/9 (pow.f64 x 4) -4)))
(.f64 x (/.f64 (fma.f64 1/9 (pow.f64 x 4) -4) (fma.f64 1/3 (.f64 x x) -2)))
(/.f64 (+.f64 8 (pow.f64 (.f64 x (sqrt.f64 1/3)) 6)) (/.f64 (+.f64 (.f64 1/9 (pow.f64 x 4)) (+.f64 4 (.f64 (.f64 x x) -2/3))) x))
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(/.f64 (.f64 x (+.f64 (pow.f64 (.f64 x (sqrt.f64 1/3)) 6) 8)) (fma.f64 x (*.f64 x -2/3) (fma.f64 1/9 (pow.f64 x 4) 4)))
(/.f64 (/.f64 (.f64 x (+.f64 8 (pow.f64 (.f64 x (sqrt.f64 1/3)) 6))) (sqrt.f64 (+.f64 (.f64 1/9 (pow.f64 x 4)) (+.f64 4 (.f64 (.f64 x x) -2/3))))) (sqrt.f64 (+.f64 (.f64 1/9 (pow.f64 x 4)) (+.f64 4 (.f64 (.f64 x x) -2/3)))))
(/.f64 x (/.f64 (fma.f64 1/9 (pow.f64 x 4) (+.f64 4 (.f64 x (.f64 x -2/3)))) (+.f64 (pow.f64 (*.f64 x (sqrt.f64 1/3)) 6) 8)))
(.f64 x (/.f64 (+.f64 (pow.f64 (.f64 x (sqrt.f64 1/3)) 6) 8) (fma.f64 1/9 (pow.f64 x 4) (fma.f64 x (*.f64 x -2/3) 4))))
(/.f64 (.f64 x (+.f64 (pow.f64 (.f64 x (sqrt.f64 1/3)) 6) 8)) (fma.f64 x (*.f64 x -2/3) (fma.f64 1/9 (pow.f64 x 4) 4)))
(/.f64 (/.f64 (.f64 x (+.f64 8 (pow.f64 (.f64 x (sqrt.f64 1/3)) 6))) (.f64 (cbrt.f64 (+.f64 (.f64 1/9 (pow.f64 x 4)) (+.f64 4 (.f64 (.f64 x x) -2/3)))) (cbrt.f64 (+.f64 (.f64 1/9 (pow.f64 x 4)) (+.f64 4 (.f64 (.f64 x x) -2/3)))))) (cbrt.f64 (+.f64 (.f64 1/9 (pow.f64 x 4)) (+.f64 4 (.f64 (.f64 x x) -2/3)))))
(/.f64 x (/.f64 (fma.f64 1/9 (pow.f64 x 4) (+.f64 4 (.f64 x (.f64 x -2/3)))) (+.f64 (pow.f64 (*.f64 x (sqrt.f64 1/3)) 6) 8)))
(.f64 x (/.f64 (+.f64 (pow.f64 (.f64 x (sqrt.f64 1/3)) 6) 8) (fma.f64 1/9 (pow.f64 x 4) (fma.f64 x (*.f64 x -2/3) 4))))
(/.f64 (.f64 x (+.f64 (pow.f64 (.f64 x (sqrt.f64 1/3)) 6) 8)) (fma.f64 x (*.f64 x -2/3) (fma.f64 1/9 (pow.f64 x 4) 4)))
(/.f64 (-.f64 (.f64 (.f64 x x) 4) (.f64 (pow.f64 x 6) 1/9)) (-.f64 (.f64 x 2) (*.f64 1/3 (pow.f64 x 3))))
(/.f64 (-.f64 (.f64 x (.f64 x 4)) (.f64 1/9 (pow.f64 x 6))) (+.f64 (.f64 x 2) (*.f64 -1/3 (pow.f64 x 3))))
(/.f64 (fma.f64 x (.f64 x 4) (.f64 (pow.f64 x 6) -1/9)) (fma.f64 x 2 (*.f64 (pow.f64 x 3) -1/3)))
(/.f64 (fma.f64 x (.f64 x 4) (.f64 (pow.f64 x 6) -1/9)) (.f64 x (fma.f64 x (.f64 x -1/3) 2)))
(/.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (.f64 x (fma.f64 (.f64 x x) 1/3 2)))) (exp.f64 (log1p.f64 (.f64 x (fma.f64 (.f64 x x) 1/3 2))))) 1) (+.f64 (exp.f64 (log1p.f64 (.f64 x (fma.f64 (*.f64 x x) 1/3 2)))) 1))
(/.f64 (.f64 (+.f64 1 (exp.f64 (log1p.f64 (.f64 x (fma.f64 (.f64 x x) 1/3 2))))) (.f64 x (fma.f64 (.f64 x x) 1/3 2))) (+.f64 1 (exp.f64 (log1p.f64 (.f64 x (fma.f64 (*.f64 x x) 1/3 2))))))
(/.f64 (expm1.f64 (.f64 2 (log1p.f64 (fma.f64 1/3 (pow.f64 x 3) (.f64 x 2))))) (+.f64 1 (exp.f64 (log1p.f64 (fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2))))))
(/.f64 (expm1.f64 (.f64 2 (log1p.f64 (.f64 x (fma.f64 1/3 (.f64 x x) 2))))) (+.f64 1 (exp.f64 (log1p.f64 (.f64 x (fma.f64 1/3 (*.f64 x x) 2))))))
(pow.f64 (.f64 x (fma.f64 (.f64 x x) 1/3 2)) 1)
(fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2))
(.f64 x (fma.f64 1/3 (.f64 x x) 2))
(pow.f64 (sqrt.f64 (.f64 x (fma.f64 (.f64 x x) 1/3 2))) 2)
(fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2))
(.f64 x (fma.f64 1/3 (.f64 x x) 2))
(pow.f64 (cbrt.f64 (.f64 x (fma.f64 (.f64 x x) 1/3 2))) 3)
(fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2))
(.f64 x (fma.f64 1/3 (.f64 x x) 2))
(pow.f64 (pow.f64 (.f64 x (fma.f64 (.f64 x x) 1/3 2)) 3) 1/3)
(fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2))
(.f64 x (fma.f64 1/3 (.f64 x x) 2))
(sqrt.f64 (pow.f64 (.f64 x (fma.f64 (.f64 x x) 1/3 2)) 2))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2))
(.f64 x (fma.f64 1/3 (.f64 x x) 2))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 (*.f64 x x) 1/3 2)))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2))
(.f64 x (fma.f64 1/3 (.f64 x x) 2))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (fma.f64 (.f64 x x) 1/3 2)))))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2))
(.f64 x (fma.f64 1/3 (.f64 x x) 2))
(cbrt.f64 (pow.f64 (.f64 x (fma.f64 (.f64 x x) 1/3 2)) 3))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2))
(.f64 x (fma.f64 1/3 (.f64 x x) 2))
(cbrt.f64 (.f64 (pow.f64 (fma.f64 (.f64 x x) 1/3 2) 3) (pow.f64 x 3)))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2))
(.f64 x (fma.f64 1/3 (.f64 x x) 2))
(expm1.f64 (log1p.f64 (.f64 x (fma.f64 (.f64 x x) 1/3 2))))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2))
(.f64 x (fma.f64 1/3 (.f64 x x) 2))
(exp.f64 (log.f64 (.f64 x (fma.f64 (.f64 x x) 1/3 2))))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2))
(.f64 x (fma.f64 1/3 (.f64 x x) 2))
(log1p.f64 (expm1.f64 (.f64 x (fma.f64 (.f64 x x) 1/3 2))))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2))
(.f64 x (fma.f64 1/3 (.f64 x x) 2))
(fma.f64 x (.f64 1/3 (.f64 x x)) (*.f64 x 2))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2))
(.f64 x (fma.f64 1/3 (.f64 x x) 2))
(fma.f64 (.f64 1/3 (.f64 x x)) x (*.f64 x 2))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2))
(.f64 x (fma.f64 1/3 (.f64 x x) 2))

localize42.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 x (/.f64 (-.f64 (.f64 (.f64 x (.f64 x 1/3)) (.f64 x (.f64 x 1/3))) 4) (-.f64 (.f64 x (.f64 x 1/3)) 2)))
	0.1b	(.f64 x (.f64 x 1/3))
✓	0.1b	(.f64 (.f64 x (.f64 x 1/3)) (.f64 x (*.f64 x 1/3)))
	0.4b	(*.f64 x 1/3)

Compiler

Compiled 113 to 79 computations (30.1% saved)

series3.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(.f64 (.f64 x (.f64 x 1/3)) (.f64 x (*.f64 x 1/3)))
1.0ms	x	@	inf	(.f64 x (/.f64 (-.f64 (.f64 (.f64 x (.f64 x 1/3)) (.f64 x (.f64 x 1/3))) 4) (-.f64 (.f64 x (.f64 x 1/3)) 2)))
0.0ms	x	@	0	(.f64 (.f64 x (.f64 x 1/3)) (.f64 x (*.f64 x 1/3)))
0.0ms	x	@	0	(.f64 x (/.f64 (-.f64 (.f64 (.f64 x (.f64 x 1/3)) (.f64 x (.f64 x 1/3))) 4) (-.f64 (.f64 x (.f64 x 1/3)) 2)))
0.0ms	x	@	-inf	(.f64 x (/.f64 (-.f64 (.f64 (.f64 x (.f64 x 1/3)) (.f64 x (.f64 x 1/3))) 4) (-.f64 (.f64 x (.f64 x 1/3)) 2)))

rewrite87.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1608×	`associate-/r/`
910×	`associate-/l/`
778×	`distribute-lft-in`
300×	`add-sqr-sqrt`
286×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	70
1	303	40
2	4178	40

Stop Event

1×	node limit

Counts

2 → 51

Calls

Call 1

Inputs
(.f64 (.f64 x (.f64 x 1/3)) (.f64 x (*.f64 x 1/3)))
(.f64 x (/.f64 (-.f64 (.f64 (.f64 x (.f64 x 1/3)) (.f64 x (.f64 x 1/3))) 4) (-.f64 (.f64 x (.f64 x 1/3)) 2)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 1/9))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x 1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 1/9) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 1/9)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 x 1/3)) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (*.f64 x 1/3)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 x 1/3)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x 1/3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 1/9)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 1/9)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x 1/3) (*.f64 x x)) (*.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 2) (*.f64 (*.f64 x 1/3) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (/.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 1/9) (fma.f64 (*.f64 x x) 1/3 -2))) (*.f64 x (neg.f64 (/.f64 4 (fma.f64 (*.f64 x x) 1/3 -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (*.f64 x (+.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 1/9) -4)) (+.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 1/9) -4)) (*.f64 x (*.f64 x 1/3))) (*.f64 (/.f64 (*.f64 x (+.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 1/9) -4)) (+.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 1/9) -4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (*.f64 x (+.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 1/9) -4)) (+.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 1/9) -4)) 2) (*.f64 (/.f64 (*.f64 x (+.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 1/9) -4)) (+.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 1/9) -4)) (*.f64 x (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (*.f64 x (+.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 1/9) -4)) (+.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 1/9) -4)) (/.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 1/9) (fma.f64 (*.f64 x x) 1/3 -2))) (*.f64 (/.f64 (*.f64 x (+.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 1/9) -4)) (+.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 1/9) -4)) (neg.f64 (/.f64 4 (fma.f64 (*.f64 x x) 1/3 -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (*.f64 x (+.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 1/9) -4)) (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 1/27) -8)) (*.f64 (pow.f64 (*.f64 x x) 2) 1/9)) (*.f64 (/.f64 (*.f64 x (+.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 1/9) -4)) (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 1/27) -8)) (+.f64 4 (*.f64 (*.f64 x x) 2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (*.f64 x (+.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 1/9) -4)) (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 1/27) -8)) (+.f64 4 (*.f64 (*.f64 x x) 2/3))) (*.f64 (/.f64 (*.f64 x (+.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 1/9) -4)) (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 1/27) -8)) (*.f64 (pow.f64 (*.f64 x x) 2) 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (*.f64 x (+.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 1/9) -4)) (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 1/27) -8)) (+.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 1/9) 4)) (*.f64 (/.f64 (*.f64 x (+.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 1/9) -4)) (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 1/27) -8)) (*.f64 (*.f64 x x) 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 x 1) (*.f64 x (*.f64 x 1/3))) (*.f64 (/.f64 x 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 x 1) 2) (*.f64 (/.f64 x 1) (*.f64 x (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 x 1) (/.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 1/9) (fma.f64 (*.f64 x x) 1/3 -2))) (*.f64 (/.f64 x 1) (neg.f64 (/.f64 4 (fma.f64 (*.f64 x x) 1/3 -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 x (*.f64 x 1/3) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 1 (fma.f64 x (*.f64 x 1/3) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (*.f64 x (fma.f64 x (*.f64 x 1/3) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 1/9) -4)) (fma.f64 (*.f64 x x) 1/3 -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 (pow.f64 (*.f64 x (*.f64 x 1/3)) 4) -16)) (*.f64 (fma.f64 (*.f64 x x) 1/3 -2) (+.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 1/9) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 (pow.f64 (*.f64 x (*.f64 x 1/3)) 6) -64)) (*.f64 (fma.f64 (*.f64 x x) 1/3 -2) (+.f64 16 (+.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 1/9) 4) (pow.f64 (*.f64 x (*.f64 x 1/3)) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 4 (*.f64 (pow.f64 (*.f64 x x) 2) 1/9))) (neg.f64 (fma.f64 (*.f64 x x) 1/3 -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 4 (*.f64 (pow.f64 (*.f64 x x) 2) 1/9)) x) (neg.f64 (fma.f64 (*.f64 x x) 1/3 -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (+.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 1/9) -4)) (sqrt.f64 (fma.f64 (*.f64 x x) 1/3 -2))) (sqrt.f64 (fma.f64 (*.f64 x x) 1/3 -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (+.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 1/9) -4)) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) 1/3 -2)) 2)) (cbrt.f64 (fma.f64 (*.f64 x x) 1/3 -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x (+.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 1/9) -4))) (neg.f64 (fma.f64 (*.f64 x x) 1/3 -2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (fma.f64 x (*.f64 x 1/3) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x (*.f64 x 1/3) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x (*.f64 x 1/3) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (fma.f64 x (*.f64 x 1/3) 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x (*.f64 x 1/3) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (fma.f64 x (*.f64 x 1/3) 2)) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 x (*.f64 x 1/3) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x (*.f64 x 1/3) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x (*.f64 x 1/3) 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 x (*.f64 x 1/3) 2) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x (*.f64 x 1/3) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (fma.f64 x (*.f64 x 1/3) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 x (*.f64 x 1/3) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x (*.f64 x 1/3) 2))))))))

simplify78.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1044×	`associate-*r/`
972×	`associate-/l*`
842×	`distribute-lft-in`
798×	`times-frac`
794×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	163	2063
1	491	1903
2	1863	1861

Stop Event

1×	node limit

Counts

75 → 77

Calls

Call 1

Inputs
(*.f64 1/9 (pow.f64 x 4))
(*.f64 1/9 (pow.f64 x 4))
(*.f64 1/9 (pow.f64 x 4))
(*.f64 1/9 (pow.f64 x 4))
(*.f64 1/9 (pow.f64 x 4))
(*.f64 1/9 (pow.f64 x 4))
(*.f64 1/9 (pow.f64 x 4))
(*.f64 1/9 (pow.f64 x 4))
(*.f64 1/9 (pow.f64 x 4))
(*.f64 1/9 (pow.f64 x 4))
(*.f64 1/9 (pow.f64 x 4))
(*.f64 1/9 (pow.f64 x 4))
(*.f64 2 x)
(+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3)))
(+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3)))
(+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3)))
(*.f64 1/3 (pow.f64 x 3))
(+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3)))
(+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3)))
(+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3)))
(*.f64 1/3 (pow.f64 x 3))
(+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3)))
(+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3)))
(+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 (.f64 x x) 2) 1/9))) 1)
(pow.f64 (.f64 x (.f64 x 1/3)) 2)
(pow.f64 (.f64 (pow.f64 (.f64 x x) 2) 1/9) 1)
(pow.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 x x) 2) 1/9)) 3)
(pow.f64 (pow.f64 (.f64 x (.f64 x 1/3)) 6) 1/3)
(sqrt.f64 (pow.f64 (.f64 x (.f64 x 1/3)) 4))
(log.f64 (exp.f64 (.f64 (pow.f64 (.f64 x x) 2) 1/9)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (pow.f64 (.f64 x x) 2) 1/9))))
(cbrt.f64 (pow.f64 (.f64 x (.f64 x 1/3)) 6))
(expm1.f64 (log1p.f64 (.f64 (pow.f64 (.f64 x x) 2) 1/9)))
(exp.f64 (log.f64 (.f64 (pow.f64 (.f64 x x) 2) 1/9)))
(exp.f64 (.f64 (log.f64 (.f64 x (*.f64 x 1/3))) 2))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 (*.f64 x x) 2) 1/9)) 1))
(log1p.f64 (expm1.f64 (.f64 (pow.f64 (.f64 x x) 2) 1/9)))
(+.f64 (.f64 (.f64 x 1/3) (.f64 x x)) (.f64 x 2))
(+.f64 (.f64 x 2) (.f64 (.f64 x 1/3) (.f64 x x)))
(+.f64 (.f64 x (/.f64 (.f64 (pow.f64 (.f64 x x) 2) 1/9) (fma.f64 (.f64 x x) 1/3 -2))) (.f64 x (neg.f64 (/.f64 4 (fma.f64 (.f64 x x) 1/3 -2)))))
(+.f64 (.f64 (/.f64 (.f64 x (+.f64 (.f64 (pow.f64 (.f64 x x) 2) 1/9) -4)) (+.f64 (.f64 (pow.f64 (.f64 x x) 2) 1/9) -4)) (.f64 x (.f64 x 1/3))) (.f64 (/.f64 (.f64 x (+.f64 (.f64 (pow.f64 (.f64 x x) 2) 1/9) -4)) (+.f64 (.f64 (pow.f64 (.f64 x x) 2) 1/9) -4)) 2))
(+.f64 (.f64 (/.f64 (.f64 x (+.f64 (.f64 (pow.f64 (.f64 x x) 2) 1/9) -4)) (+.f64 (.f64 (pow.f64 (.f64 x x) 2) 1/9) -4)) 2) (.f64 (/.f64 (.f64 x (+.f64 (.f64 (pow.f64 (.f64 x x) 2) 1/9) -4)) (+.f64 (.f64 (pow.f64 (.f64 x x) 2) 1/9) -4)) (.f64 x (.f64 x 1/3))))
(+.f64 (.f64 (/.f64 (.f64 x (+.f64 (.f64 (pow.f64 (.f64 x x) 2) 1/9) -4)) (+.f64 (.f64 (pow.f64 (.f64 x x) 2) 1/9) -4)) (/.f64 (.f64 (pow.f64 (.f64 x x) 2) 1/9) (fma.f64 (.f64 x x) 1/3 -2))) (.f64 (/.f64 (.f64 x (+.f64 (.f64 (pow.f64 (.f64 x x) 2) 1/9) -4)) (+.f64 (.f64 (pow.f64 (.f64 x x) 2) 1/9) -4)) (neg.f64 (/.f64 4 (fma.f64 (.f64 x x) 1/3 -2)))))
(+.f64 (.f64 (/.f64 (.f64 x (+.f64 (.f64 (pow.f64 (.f64 x x) 2) 1/9) -4)) (+.f64 (.f64 (pow.f64 (.f64 x x) 3) 1/27) -8)) (.f64 (pow.f64 (.f64 x x) 2) 1/9)) (.f64 (/.f64 (.f64 x (+.f64 (.f64 (pow.f64 (.f64 x x) 2) 1/9) -4)) (+.f64 (.f64 (pow.f64 (.f64 x x) 3) 1/27) -8)) (+.f64 4 (.f64 (.f64 x x) 2/3))))
(+.f64 (.f64 (/.f64 (.f64 x (+.f64 (.f64 (pow.f64 (.f64 x x) 2) 1/9) -4)) (+.f64 (.f64 (pow.f64 (.f64 x x) 3) 1/27) -8)) (+.f64 4 (.f64 (.f64 x x) 2/3))) (.f64 (/.f64 (.f64 x (+.f64 (.f64 (pow.f64 (.f64 x x) 2) 1/9) -4)) (+.f64 (.f64 (pow.f64 (.f64 x x) 3) 1/27) -8)) (.f64 (pow.f64 (.f64 x x) 2) 1/9)))
(+.f64 (.f64 (/.f64 (.f64 x (+.f64 (.f64 (pow.f64 (.f64 x x) 2) 1/9) -4)) (+.f64 (.f64 (pow.f64 (.f64 x x) 3) 1/27) -8)) (+.f64 (.f64 (pow.f64 (.f64 x x) 2) 1/9) 4)) (.f64 (/.f64 (.f64 x (+.f64 (.f64 (pow.f64 (.f64 x x) 2) 1/9) -4)) (+.f64 (.f64 (pow.f64 (.f64 x x) 3) 1/27) -8)) (.f64 (.f64 x x) 2/3)))
(+.f64 (.f64 (/.f64 x 1) (.f64 x (.f64 x 1/3))) (.f64 (/.f64 x 1) 2))
(+.f64 (.f64 (/.f64 x 1) 2) (.f64 (/.f64 x 1) (.f64 x (.f64 x 1/3))))
(+.f64 (.f64 (/.f64 x 1) (/.f64 (.f64 (pow.f64 (.f64 x x) 2) 1/9) (fma.f64 (.f64 x x) 1/3 -2))) (.f64 (/.f64 x 1) (neg.f64 (/.f64 4 (fma.f64 (.f64 x x) 1/3 -2)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (fma.f64 x (.f64 x 1/3) 2)))) 1)
(/.f64 x (/.f64 1 (fma.f64 x (*.f64 x 1/3) 2)))
(/.f64 1 (/.f64 1 (.f64 x (fma.f64 x (.f64 x 1/3) 2))))
(/.f64 (.f64 x (+.f64 (.f64 (pow.f64 (.f64 x x) 2) 1/9) -4)) (fma.f64 (.f64 x x) 1/3 -2))
(/.f64 (.f64 x (+.f64 (pow.f64 (.f64 x (.f64 x 1/3)) 4) -16)) (.f64 (fma.f64 (.f64 x x) 1/3 -2) (+.f64 (.f64 (pow.f64 (*.f64 x x) 2) 1/9) 4)))
(/.f64 (.f64 x (+.f64 (pow.f64 (.f64 x (.f64 x 1/3)) 6) -64)) (.f64 (fma.f64 (.f64 x x) 1/3 -2) (+.f64 16 (+.f64 (.f64 (.f64 (pow.f64 (.f64 x x) 2) 1/9) 4) (pow.f64 (.f64 x (.f64 x 1/3)) 4)))))
(/.f64 (.f64 x (-.f64 4 (.f64 (pow.f64 (.f64 x x) 2) 1/9))) (neg.f64 (fma.f64 (.f64 x x) 1/3 -2)))
(/.f64 (.f64 (-.f64 4 (.f64 (pow.f64 (.f64 x x) 2) 1/9)) x) (neg.f64 (fma.f64 (.f64 x x) 1/3 -2)))
(/.f64 (/.f64 (.f64 x (+.f64 (.f64 (pow.f64 (.f64 x x) 2) 1/9) -4)) (sqrt.f64 (fma.f64 (.f64 x x) 1/3 -2))) (sqrt.f64 (fma.f64 (*.f64 x x) 1/3 -2)))
(/.f64 (/.f64 (.f64 x (+.f64 (.f64 (pow.f64 (.f64 x x) 2) 1/9) -4)) (pow.f64 (cbrt.f64 (fma.f64 (.f64 x x) 1/3 -2)) 2)) (cbrt.f64 (fma.f64 (*.f64 x x) 1/3 -2)))
(/.f64 (neg.f64 (.f64 x (+.f64 (.f64 (pow.f64 (.f64 x x) 2) 1/9) -4))) (neg.f64 (fma.f64 (.f64 x x) 1/3 -2)))
(pow.f64 (.f64 x (fma.f64 x (.f64 x 1/3) 2)) 1)
(pow.f64 (sqrt.f64 (.f64 x (fma.f64 x (.f64 x 1/3) 2))) 2)
(pow.f64 (cbrt.f64 (.f64 x (fma.f64 x (.f64 x 1/3) 2))) 3)
(pow.f64 (pow.f64 (.f64 x (fma.f64 x (.f64 x 1/3) 2)) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 x (fma.f64 x (.f64 x 1/3) 2)) 2))
(log.f64 (pow.f64 (exp.f64 (fma.f64 x (*.f64 x 1/3) 2)) x))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (fma.f64 x (.f64 x 1/3) 2)))))
(cbrt.f64 (pow.f64 (.f64 x (fma.f64 x (.f64 x 1/3) 2)) 3))
(cbrt.f64 (.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x (.f64 x 1/3) 2) 3)))
(cbrt.f64 (.f64 (pow.f64 (fma.f64 x (.f64 x 1/3) 2) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (.f64 x (fma.f64 x (.f64 x 1/3) 2))))
(exp.f64 (log.f64 (.f64 x (fma.f64 x (.f64 x 1/3) 2))))
(exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 x (*.f64 x 1/3) 2))) 1))
(log1p.f64 (expm1.f64 (.f64 x (fma.f64 x (.f64 x 1/3) 2))))

Outputs
(*.f64 1/9 (pow.f64 x 4))
(*.f64 1/9 (pow.f64 x 4))
(*.f64 1/9 (pow.f64 x 4))
(*.f64 1/9 (pow.f64 x 4))
(*.f64 1/9 (pow.f64 x 4))
(*.f64 1/9 (pow.f64 x 4))
(*.f64 1/9 (pow.f64 x 4))
(*.f64 1/9 (pow.f64 x 4))
(*.f64 1/9 (pow.f64 x 4))
(*.f64 1/9 (pow.f64 x 4))
(*.f64 1/9 (pow.f64 x 4))
(*.f64 1/9 (pow.f64 x 4))
(*.f64 2 x)
(*.f64 x 2)
(+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3)))
(fma.f64 2 x (*.f64 1/3 (pow.f64 x 3)))
(.f64 x (fma.f64 x (.f64 x 1/3) 2))
(fma.f64 x 2 (*.f64 1/3 (pow.f64 x 3)))
(+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3)))
(fma.f64 2 x (*.f64 1/3 (pow.f64 x 3)))
(.f64 x (fma.f64 x (.f64 x 1/3) 2))
(fma.f64 x 2 (*.f64 1/3 (pow.f64 x 3)))
(+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3)))
(fma.f64 2 x (*.f64 1/3 (pow.f64 x 3)))
(.f64 x (fma.f64 x (.f64 x 1/3) 2))
(fma.f64 x 2 (*.f64 1/3 (pow.f64 x 3)))
(*.f64 1/3 (pow.f64 x 3))
(+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3)))
(fma.f64 2 x (*.f64 1/3 (pow.f64 x 3)))
(.f64 x (fma.f64 x (.f64 x 1/3) 2))
(fma.f64 x 2 (*.f64 1/3 (pow.f64 x 3)))
(+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3)))
(fma.f64 2 x (*.f64 1/3 (pow.f64 x 3)))
(.f64 x (fma.f64 x (.f64 x 1/3) 2))
(fma.f64 x 2 (*.f64 1/3 (pow.f64 x 3)))
(+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3)))
(fma.f64 2 x (*.f64 1/3 (pow.f64 x 3)))
(.f64 x (fma.f64 x (.f64 x 1/3) 2))
(fma.f64 x 2 (*.f64 1/3 (pow.f64 x 3)))
(*.f64 1/3 (pow.f64 x 3))
(+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3)))
(fma.f64 2 x (*.f64 1/3 (pow.f64 x 3)))
(.f64 x (fma.f64 x (.f64 x 1/3) 2))
(fma.f64 x 2 (*.f64 1/3 (pow.f64 x 3)))
(+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3)))
(fma.f64 2 x (*.f64 1/3 (pow.f64 x 3)))
(.f64 x (fma.f64 x (.f64 x 1/3) 2))
(fma.f64 x 2 (*.f64 1/3 (pow.f64 x 3)))
(+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3)))
(fma.f64 2 x (*.f64 1/3 (pow.f64 x 3)))
(.f64 x (fma.f64 x (.f64 x 1/3) 2))
(fma.f64 x 2 (*.f64 1/3 (pow.f64 x 3)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 (.f64 x x) 2) 1/9))) 1)
(*.f64 1/9 (pow.f64 x 4))
(pow.f64 (.f64 x (.f64 x 1/3)) 2)
(*.f64 1/9 (pow.f64 x 4))
(pow.f64 (.f64 (pow.f64 (.f64 x x) 2) 1/9) 1)
(*.f64 1/9 (pow.f64 x 4))
(pow.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 x x) 2) 1/9)) 3)
(*.f64 1/9 (pow.f64 x 4))
(pow.f64 (pow.f64 (.f64 x (.f64 x 1/3)) 6) 1/3)
(cbrt.f64 (pow.f64 (.f64 x (.f64 x 1/3)) 6))
(sqrt.f64 (pow.f64 (.f64 x (.f64 x 1/3)) 4))
(fabs.f64 (*.f64 1/9 (pow.f64 x 4)))
(log.f64 (exp.f64 (.f64 (pow.f64 (.f64 x x) 2) 1/9)))
(*.f64 1/9 (pow.f64 x 4))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (pow.f64 (.f64 x x) 2) 1/9))))
(*.f64 1/9 (pow.f64 x 4))
(cbrt.f64 (pow.f64 (.f64 x (.f64 x 1/3)) 6))
(expm1.f64 (log1p.f64 (.f64 (pow.f64 (.f64 x x) 2) 1/9)))
(*.f64 1/9 (pow.f64 x 4))
(exp.f64 (log.f64 (.f64 (pow.f64 (.f64 x x) 2) 1/9)))
(*.f64 1/9 (pow.f64 x 4))
(exp.f64 (.f64 (log.f64 (.f64 x (*.f64 x 1/3))) 2))
(*.f64 1/9 (pow.f64 x 4))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 (*.f64 x x) 2) 1/9)) 1))
(*.f64 1/9 (pow.f64 x 4))
(log1p.f64 (expm1.f64 (.f64 (pow.f64 (.f64 x x) 2) 1/9)))
(*.f64 1/9 (pow.f64 x 4))
(+.f64 (.f64 (.f64 x 1/3) (.f64 x x)) (.f64 x 2))
(fma.f64 2 x (*.f64 1/3 (pow.f64 x 3)))
(.f64 x (fma.f64 x (.f64 x 1/3) 2))
(fma.f64 x 2 (*.f64 1/3 (pow.f64 x 3)))
(+.f64 (.f64 x 2) (.f64 (.f64 x 1/3) (.f64 x x)))
(fma.f64 2 x (*.f64 1/3 (pow.f64 x 3)))
(.f64 x (fma.f64 x (.f64 x 1/3) 2))
(fma.f64 x 2 (*.f64 1/3 (pow.f64 x 3)))
(+.f64 (.f64 x (/.f64 (.f64 (pow.f64 (.f64 x x) 2) 1/9) (fma.f64 (.f64 x x) 1/3 -2))) (.f64 x (neg.f64 (/.f64 4 (fma.f64 (.f64 x x) 1/3 -2)))))
(.f64 x (+.f64 (/.f64 (.f64 1/9 (pow.f64 (.f64 x x) 2)) (fma.f64 (.f64 x x) 1/3 -2)) (/.f64 -4 (fma.f64 (*.f64 x x) 1/3 -2))))
(.f64 x (+.f64 (.f64 (/.f64 (pow.f64 x 4) (fma.f64 x (.f64 x 1/3) -2)) 1/9) (/.f64 -4 (fma.f64 x (.f64 x 1/3) -2))))
(.f64 x (-.f64 0 (/.f64 (+.f64 4 (.f64 (pow.f64 x 4) -1/9)) (fma.f64 x (*.f64 x 1/3) -2))))
(+.f64 (.f64 (/.f64 (.f64 x (+.f64 (.f64 (pow.f64 (.f64 x x) 2) 1/9) -4)) (+.f64 (.f64 (pow.f64 (.f64 x x) 2) 1/9) -4)) (.f64 x (.f64 x 1/3))) (.f64 (/.f64 (.f64 x (+.f64 (.f64 (pow.f64 (.f64 x x) 2) 1/9) -4)) (+.f64 (.f64 (pow.f64 (.f64 x x) 2) 1/9) -4)) 2))
(fma.f64 2 x (*.f64 1/3 (pow.f64 x 3)))
(.f64 x (fma.f64 x (.f64 x 1/3) 2))
(fma.f64 x 2 (*.f64 1/3 (pow.f64 x 3)))
(+.f64 (.f64 (/.f64 (.f64 x (+.f64 (.f64 (pow.f64 (.f64 x x) 2) 1/9) -4)) (+.f64 (.f64 (pow.f64 (.f64 x x) 2) 1/9) -4)) 2) (.f64 (/.f64 (.f64 x (+.f64 (.f64 (pow.f64 (.f64 x x) 2) 1/9) -4)) (+.f64 (.f64 (pow.f64 (.f64 x x) 2) 1/9) -4)) (.f64 x (.f64 x 1/3))))
(fma.f64 2 x (*.f64 1/3 (pow.f64 x 3)))
(.f64 x (fma.f64 x (.f64 x 1/3) 2))
(fma.f64 x 2 (*.f64 1/3 (pow.f64 x 3)))
(+.f64 (.f64 (/.f64 (.f64 x (+.f64 (.f64 (pow.f64 (.f64 x x) 2) 1/9) -4)) (+.f64 (.f64 (pow.f64 (.f64 x x) 2) 1/9) -4)) (/.f64 (.f64 (pow.f64 (.f64 x x) 2) 1/9) (fma.f64 (.f64 x x) 1/3 -2))) (.f64 (/.f64 (.f64 x (+.f64 (.f64 (pow.f64 (.f64 x x) 2) 1/9) -4)) (+.f64 (.f64 (pow.f64 (.f64 x x) 2) 1/9) -4)) (neg.f64 (/.f64 4 (fma.f64 (.f64 x x) 1/3 -2)))))
(.f64 x (+.f64 (/.f64 (.f64 1/9 (pow.f64 (.f64 x x) 2)) (fma.f64 (.f64 x x) 1/3 -2)) (/.f64 -4 (fma.f64 (*.f64 x x) 1/3 -2))))
(.f64 x (+.f64 (.f64 (/.f64 (pow.f64 x 4) (fma.f64 x (.f64 x 1/3) -2)) 1/9) (/.f64 -4 (fma.f64 x (.f64 x 1/3) -2))))
(.f64 x (-.f64 0 (/.f64 (+.f64 4 (.f64 (pow.f64 x 4) -1/9)) (fma.f64 x (*.f64 x 1/3) -2))))
(+.f64 (.f64 (/.f64 (.f64 x (+.f64 (.f64 (pow.f64 (.f64 x x) 2) 1/9) -4)) (+.f64 (.f64 (pow.f64 (.f64 x x) 3) 1/27) -8)) (.f64 (pow.f64 (.f64 x x) 2) 1/9)) (.f64 (/.f64 (.f64 x (+.f64 (.f64 (pow.f64 (.f64 x x) 2) 1/9) -4)) (+.f64 (.f64 (pow.f64 (.f64 x x) 3) 1/27) -8)) (+.f64 4 (.f64 (.f64 x x) 2/3))))
(.f64 (/.f64 (.f64 x (fma.f64 (pow.f64 (.f64 x x) 2) 1/9 -4)) (fma.f64 (pow.f64 (.f64 x x) 3) 1/27 -8)) (+.f64 (.f64 1/9 (pow.f64 (.f64 x x) 2)) (+.f64 4 (.f64 x (.f64 x 2/3)))))
(.f64 (/.f64 x (/.f64 (fma.f64 (pow.f64 x 6) 1/27 -8) (fma.f64 1/9 (pow.f64 x 4) -4))) (fma.f64 1/9 (pow.f64 x 4) (fma.f64 x (.f64 x 2/3) 4)))
(.f64 (.f64 (fma.f64 1/9 (pow.f64 x 4) -4) (/.f64 x (fma.f64 (pow.f64 x 6) 1/27 -8))) (fma.f64 1/9 (pow.f64 x 4) (fma.f64 x (*.f64 x 2/3) 4)))
(+.f64 (.f64 (/.f64 (.f64 x (+.f64 (.f64 (pow.f64 (.f64 x x) 2) 1/9) -4)) (+.f64 (.f64 (pow.f64 (.f64 x x) 3) 1/27) -8)) (+.f64 4 (.f64 (.f64 x x) 2/3))) (.f64 (/.f64 (.f64 x (+.f64 (.f64 (pow.f64 (.f64 x x) 2) 1/9) -4)) (+.f64 (.f64 (pow.f64 (.f64 x x) 3) 1/27) -8)) (.f64 (pow.f64 (.f64 x x) 2) 1/9)))
(.f64 (/.f64 (.f64 x (fma.f64 (pow.f64 (.f64 x x) 2) 1/9 -4)) (fma.f64 (pow.f64 (.f64 x x) 3) 1/27 -8)) (+.f64 (.f64 1/9 (pow.f64 (.f64 x x) 2)) (+.f64 4 (.f64 x (.f64 x 2/3)))))
(.f64 (/.f64 x (/.f64 (fma.f64 (pow.f64 x 6) 1/27 -8) (fma.f64 1/9 (pow.f64 x 4) -4))) (fma.f64 1/9 (pow.f64 x 4) (fma.f64 x (.f64 x 2/3) 4)))
(.f64 (.f64 (fma.f64 1/9 (pow.f64 x 4) -4) (/.f64 x (fma.f64 (pow.f64 x 6) 1/27 -8))) (fma.f64 1/9 (pow.f64 x 4) (fma.f64 x (*.f64 x 2/3) 4)))
(+.f64 (.f64 (/.f64 (.f64 x (+.f64 (.f64 (pow.f64 (.f64 x x) 2) 1/9) -4)) (+.f64 (.f64 (pow.f64 (.f64 x x) 3) 1/27) -8)) (+.f64 (.f64 (pow.f64 (.f64 x x) 2) 1/9) 4)) (.f64 (/.f64 (.f64 x (+.f64 (.f64 (pow.f64 (.f64 x x) 2) 1/9) -4)) (+.f64 (.f64 (pow.f64 (.f64 x x) 3) 1/27) -8)) (.f64 (.f64 x x) 2/3)))
(.f64 (/.f64 (.f64 x (fma.f64 (pow.f64 (.f64 x x) 2) 1/9 -4)) (fma.f64 (pow.f64 (.f64 x x) 3) 1/27 -8)) (+.f64 (.f64 1/9 (pow.f64 (.f64 x x) 2)) (+.f64 4 (.f64 x (.f64 x 2/3)))))
(.f64 (/.f64 x (/.f64 (fma.f64 (pow.f64 x 6) 1/27 -8) (fma.f64 1/9 (pow.f64 x 4) -4))) (fma.f64 1/9 (pow.f64 x 4) (fma.f64 x (.f64 x 2/3) 4)))
(.f64 (.f64 (fma.f64 1/9 (pow.f64 x 4) -4) (/.f64 x (fma.f64 (pow.f64 x 6) 1/27 -8))) (fma.f64 1/9 (pow.f64 x 4) (fma.f64 x (*.f64 x 2/3) 4)))
(+.f64 (.f64 (/.f64 x 1) (.f64 x (.f64 x 1/3))) (.f64 (/.f64 x 1) 2))
(fma.f64 2 x (*.f64 1/3 (pow.f64 x 3)))
(.f64 x (fma.f64 x (.f64 x 1/3) 2))
(fma.f64 x 2 (*.f64 1/3 (pow.f64 x 3)))
(+.f64 (.f64 (/.f64 x 1) 2) (.f64 (/.f64 x 1) (.f64 x (.f64 x 1/3))))
(fma.f64 2 x (*.f64 1/3 (pow.f64 x 3)))
(.f64 x (fma.f64 x (.f64 x 1/3) 2))
(fma.f64 x 2 (*.f64 1/3 (pow.f64 x 3)))
(+.f64 (.f64 (/.f64 x 1) (/.f64 (.f64 (pow.f64 (.f64 x x) 2) 1/9) (fma.f64 (.f64 x x) 1/3 -2))) (.f64 (/.f64 x 1) (neg.f64 (/.f64 4 (fma.f64 (.f64 x x) 1/3 -2)))))
(.f64 x (+.f64 (/.f64 (.f64 1/9 (pow.f64 (.f64 x x) 2)) (fma.f64 (.f64 x x) 1/3 -2)) (/.f64 -4 (fma.f64 (*.f64 x x) 1/3 -2))))
(.f64 x (+.f64 (.f64 (/.f64 (pow.f64 x 4) (fma.f64 x (.f64 x 1/3) -2)) 1/9) (/.f64 -4 (fma.f64 x (.f64 x 1/3) -2))))
(.f64 x (-.f64 0 (/.f64 (+.f64 4 (.f64 (pow.f64 x 4) -1/9)) (fma.f64 x (*.f64 x 1/3) -2))))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (fma.f64 x (.f64 x 1/3) 2)))) 1)
(fma.f64 2 x (*.f64 1/3 (pow.f64 x 3)))
(.f64 x (fma.f64 x (.f64 x 1/3) 2))
(fma.f64 x 2 (*.f64 1/3 (pow.f64 x 3)))
(/.f64 x (/.f64 1 (fma.f64 x (*.f64 x 1/3) 2)))
(fma.f64 2 x (*.f64 1/3 (pow.f64 x 3)))
(.f64 x (fma.f64 x (.f64 x 1/3) 2))
(fma.f64 x 2 (*.f64 1/3 (pow.f64 x 3)))
(/.f64 1 (/.f64 1 (.f64 x (fma.f64 x (.f64 x 1/3) 2))))
(fma.f64 2 x (*.f64 1/3 (pow.f64 x 3)))
(.f64 x (fma.f64 x (.f64 x 1/3) 2))
(fma.f64 x 2 (*.f64 1/3 (pow.f64 x 3)))
(/.f64 (.f64 x (+.f64 (.f64 (pow.f64 (.f64 x x) 2) 1/9) -4)) (fma.f64 (.f64 x x) 1/3 -2))
(/.f64 x (/.f64 (fma.f64 (.f64 x x) 1/3 -2) (fma.f64 (pow.f64 (.f64 x x) 2) 1/9 -4)))
(.f64 (/.f64 x (fma.f64 x (.f64 x 1/3) -2)) (fma.f64 1/9 (pow.f64 x 4) -4))
(/.f64 (fma.f64 1/9 (pow.f64 x 4) -4) (/.f64 (fma.f64 x (*.f64 x 1/3) -2) x))
(/.f64 (.f64 x (+.f64 (pow.f64 (.f64 x (.f64 x 1/3)) 4) -16)) (.f64 (fma.f64 (.f64 x x) 1/3 -2) (+.f64 (.f64 (pow.f64 (*.f64 x x) 2) 1/9) 4)))
(.f64 (/.f64 x (fma.f64 (.f64 x x) 1/3 -2)) (/.f64 (+.f64 (pow.f64 (.f64 x (.f64 x 1/3)) 4) -16) (fma.f64 (pow.f64 (*.f64 x x) 2) 1/9 4)))
(.f64 (/.f64 x (fma.f64 x (.f64 x 1/3) -2)) (/.f64 (+.f64 (pow.f64 (.f64 x (.f64 x 1/3)) 4) -16) (fma.f64 1/9 (pow.f64 x 4) 4)))
(.f64 (+.f64 (pow.f64 (.f64 1/9 (pow.f64 x 4)) 2) -16) (/.f64 x (.f64 (fma.f64 x (.f64 x 1/3) -2) (fma.f64 1/9 (pow.f64 x 4) 4))))
(/.f64 (.f64 x (+.f64 (pow.f64 (.f64 x (.f64 x 1/3)) 6) -64)) (.f64 (fma.f64 (.f64 x x) 1/3 -2) (+.f64 16 (+.f64 (.f64 (.f64 (pow.f64 (.f64 x x) 2) 1/9) 4) (pow.f64 (.f64 x (.f64 x 1/3)) 4)))))
(/.f64 x (/.f64 (.f64 (fma.f64 (.f64 x x) 1/3 -2) (+.f64 16 (+.f64 (pow.f64 (.f64 x (.f64 x 1/3)) 4) (.f64 (pow.f64 (.f64 x x) 2) 4/9)))) (+.f64 (pow.f64 (.f64 x (.f64 x 1/3)) 6) -64)))
(/.f64 (.f64 (/.f64 x (fma.f64 x (.f64 x 1/3) -2)) (+.f64 (pow.f64 (.f64 x (.f64 x 1/3)) 6) -64)) (+.f64 16 (fma.f64 (pow.f64 x 4) 4/9 (pow.f64 (.f64 x (.f64 x 1/3)) 4))))
(.f64 (+.f64 (pow.f64 (.f64 x (.f64 x 1/3)) 6) -64) (/.f64 (/.f64 x (fma.f64 x (.f64 x 1/3) -2)) (+.f64 16 (.f64 (.f64 1/9 (pow.f64 x 4)) (fma.f64 1/9 (pow.f64 x 4) 4)))))
(/.f64 (.f64 x (-.f64 4 (.f64 (pow.f64 (.f64 x x) 2) 1/9))) (neg.f64 (fma.f64 (.f64 x x) 1/3 -2)))
(/.f64 x (/.f64 (fma.f64 (.f64 x x) 1/3 -2) (fma.f64 (pow.f64 (.f64 x x) 2) 1/9 -4)))
(.f64 (/.f64 x (fma.f64 x (.f64 x 1/3) -2)) (fma.f64 1/9 (pow.f64 x 4) -4))
(/.f64 (fma.f64 1/9 (pow.f64 x 4) -4) (/.f64 (fma.f64 x (*.f64 x 1/3) -2) x))
(/.f64 (.f64 (-.f64 4 (.f64 (pow.f64 (.f64 x x) 2) 1/9)) x) (neg.f64 (fma.f64 (.f64 x x) 1/3 -2)))
(/.f64 x (/.f64 (fma.f64 (.f64 x x) 1/3 -2) (fma.f64 (pow.f64 (.f64 x x) 2) 1/9 -4)))
(.f64 (/.f64 x (fma.f64 x (.f64 x 1/3) -2)) (fma.f64 1/9 (pow.f64 x 4) -4))
(/.f64 (fma.f64 1/9 (pow.f64 x 4) -4) (/.f64 (fma.f64 x (*.f64 x 1/3) -2) x))
(/.f64 (/.f64 (.f64 x (+.f64 (.f64 (pow.f64 (.f64 x x) 2) 1/9) -4)) (sqrt.f64 (fma.f64 (.f64 x x) 1/3 -2))) (sqrt.f64 (fma.f64 (*.f64 x x) 1/3 -2)))
(/.f64 x (/.f64 (fma.f64 (.f64 x x) 1/3 -2) (fma.f64 (pow.f64 (.f64 x x) 2) 1/9 -4)))
(.f64 (/.f64 x (fma.f64 x (.f64 x 1/3) -2)) (fma.f64 1/9 (pow.f64 x 4) -4))
(/.f64 (fma.f64 1/9 (pow.f64 x 4) -4) (/.f64 (fma.f64 x (*.f64 x 1/3) -2) x))
(/.f64 (/.f64 (.f64 x (+.f64 (.f64 (pow.f64 (.f64 x x) 2) 1/9) -4)) (pow.f64 (cbrt.f64 (fma.f64 (.f64 x x) 1/3 -2)) 2)) (cbrt.f64 (fma.f64 (*.f64 x x) 1/3 -2)))
(/.f64 x (/.f64 (fma.f64 (.f64 x x) 1/3 -2) (fma.f64 (pow.f64 (.f64 x x) 2) 1/9 -4)))
(.f64 (/.f64 x (fma.f64 x (.f64 x 1/3) -2)) (fma.f64 1/9 (pow.f64 x 4) -4))
(/.f64 (fma.f64 1/9 (pow.f64 x 4) -4) (/.f64 (fma.f64 x (*.f64 x 1/3) -2) x))
(/.f64 (neg.f64 (.f64 x (+.f64 (.f64 (pow.f64 (.f64 x x) 2) 1/9) -4))) (neg.f64 (fma.f64 (.f64 x x) 1/3 -2)))
(/.f64 x (/.f64 (fma.f64 (.f64 x x) 1/3 -2) (fma.f64 (pow.f64 (.f64 x x) 2) 1/9 -4)))
(.f64 (/.f64 x (fma.f64 x (.f64 x 1/3) -2)) (fma.f64 1/9 (pow.f64 x 4) -4))
(/.f64 (fma.f64 1/9 (pow.f64 x 4) -4) (/.f64 (fma.f64 x (*.f64 x 1/3) -2) x))
(pow.f64 (.f64 x (fma.f64 x (.f64 x 1/3) 2)) 1)
(fma.f64 2 x (*.f64 1/3 (pow.f64 x 3)))
(.f64 x (fma.f64 x (.f64 x 1/3) 2))
(fma.f64 x 2 (*.f64 1/3 (pow.f64 x 3)))
(pow.f64 (sqrt.f64 (.f64 x (fma.f64 x (.f64 x 1/3) 2))) 2)
(fma.f64 2 x (*.f64 1/3 (pow.f64 x 3)))
(.f64 x (fma.f64 x (.f64 x 1/3) 2))
(fma.f64 x 2 (*.f64 1/3 (pow.f64 x 3)))
(pow.f64 (cbrt.f64 (.f64 x (fma.f64 x (.f64 x 1/3) 2))) 3)
(fma.f64 2 x (*.f64 1/3 (pow.f64 x 3)))
(.f64 x (fma.f64 x (.f64 x 1/3) 2))
(fma.f64 x 2 (*.f64 1/3 (pow.f64 x 3)))
(pow.f64 (pow.f64 (.f64 x (fma.f64 x (.f64 x 1/3) 2)) 3) 1/3)
(fma.f64 2 x (*.f64 1/3 (pow.f64 x 3)))
(.f64 x (fma.f64 x (.f64 x 1/3) 2))
(fma.f64 x 2 (*.f64 1/3 (pow.f64 x 3)))
(sqrt.f64 (pow.f64 (.f64 x (fma.f64 x (.f64 x 1/3) 2)) 2))
(fabs.f64 (.f64 x (fma.f64 x (.f64 x 1/3) 2)))
(fabs.f64 (fma.f64 x 2 (*.f64 1/3 (pow.f64 x 3))))
(log.f64 (pow.f64 (exp.f64 (fma.f64 x (*.f64 x 1/3) 2)) x))
(fma.f64 2 x (*.f64 1/3 (pow.f64 x 3)))
(.f64 x (fma.f64 x (.f64 x 1/3) 2))
(fma.f64 x 2 (*.f64 1/3 (pow.f64 x 3)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (fma.f64 x (.f64 x 1/3) 2)))))
(fma.f64 2 x (*.f64 1/3 (pow.f64 x 3)))
(.f64 x (fma.f64 x (.f64 x 1/3) 2))
(fma.f64 x 2 (*.f64 1/3 (pow.f64 x 3)))
(cbrt.f64 (pow.f64 (.f64 x (fma.f64 x (.f64 x 1/3) 2)) 3))
(fma.f64 2 x (*.f64 1/3 (pow.f64 x 3)))
(.f64 x (fma.f64 x (.f64 x 1/3) 2))
(fma.f64 x 2 (*.f64 1/3 (pow.f64 x 3)))
(cbrt.f64 (.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x (.f64 x 1/3) 2) 3)))
(fma.f64 2 x (*.f64 1/3 (pow.f64 x 3)))
(.f64 x (fma.f64 x (.f64 x 1/3) 2))
(fma.f64 x 2 (*.f64 1/3 (pow.f64 x 3)))
(cbrt.f64 (.f64 (pow.f64 (fma.f64 x (.f64 x 1/3) 2) 3) (pow.f64 x 3)))
(fma.f64 2 x (*.f64 1/3 (pow.f64 x 3)))
(.f64 x (fma.f64 x (.f64 x 1/3) 2))
(fma.f64 x 2 (*.f64 1/3 (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (.f64 x (fma.f64 x (.f64 x 1/3) 2))))
(fma.f64 2 x (*.f64 1/3 (pow.f64 x 3)))
(.f64 x (fma.f64 x (.f64 x 1/3) 2))
(fma.f64 x 2 (*.f64 1/3 (pow.f64 x 3)))
(exp.f64 (log.f64 (.f64 x (fma.f64 x (.f64 x 1/3) 2))))
(fma.f64 2 x (*.f64 1/3 (pow.f64 x 3)))
(.f64 x (fma.f64 x (.f64 x 1/3) 2))
(fma.f64 x 2 (*.f64 1/3 (pow.f64 x 3)))
(exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 x (*.f64 x 1/3) 2))) 1))
(fma.f64 2 x (*.f64 1/3 (pow.f64 x 3)))
(.f64 x (fma.f64 x (.f64 x 1/3) 2))
(fma.f64 x 2 (*.f64 1/3 (pow.f64 x 3)))
(log1p.f64 (expm1.f64 (.f64 x (fma.f64 x (.f64 x 1/3) 2))))
(fma.f64 2 x (*.f64 1/3 (pow.f64 x 3)))
(.f64 x (fma.f64 x (.f64 x 1/3) 2))
(fma.f64 x 2 (*.f64 1/3 (pow.f64 x 3)))

localize63.0ms (1.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (.f64 x (*.f64 x 1/3)) x)
	0.1b	(.f64 x (.f64 x 1/3))
	0.4b	(*.f64 x 1/3)

Compiler

Compiled 46 to 30 computations (34.8% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite49.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1306×	`add-sqr-sqrt`
1290×	`*-un-lft-identity`
1198×	`add-cube-cbrt`
1178×	`add-cbrt-cube`
1164×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	19
1	141	13
2	1645	13

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

Outputs

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

simplify54.0ms (1%)

Algorithm

1×	egg-herbie

Rules

982×	`exp-sum`
784×	`*-commutative`
710×	`associate-r`
708×	`log-prod`
642×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	299
1	79	299
2	311	299
3	2107	299
4	5918	299

Stop Event

1×	node limit

Counts

23 → 12

Calls

Call 1

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

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

eval269.0ms (4.8%)

Compiler: Compiled 8912 to 6621 computations (25.7% saved)

prune118.0ms (2.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	420	3	423
Fresh	0	0	0
Picked	1	0	1
Done	3	2	5
Total	424	5	429

Error

Counts

429 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.5b	(/.f64 (+.f64 (.f64 (.f64 x 1/3) (.f64 x x)) (.f64 x 2)) 2)
✓	0.8b	(/.f64 (+.f64 x x) 2)
▶	0.5b	(/.f64 (.f64 x (+.f64 (.f64 1/3 (*.f64 x x)) 2)) 2)
✓	0.0b	(/.f64 (*.f64 2 (sinh.f64 x)) 2)
▶	60.2b	(.f64 (.f64 1/3 x) (.f64 (.f64 x x) 1/2))

Compiler

Compiled 49 to 36 computations (26.5% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (.f64 x x) 1/2)
✓	0.1b	(.f64 (.f64 1/3 x) (.f64 (.f64 x x) 1/2))
✓	0.4b	(*.f64 1/3 x)

Compiler

Compiled 24 to 13 computations (45.8% saved)

series1.0ms (0%)

Counts

3 → 24

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(.f64 (.f64 x x) 1/2)
0.0ms	x	@	0	(.f64 (.f64 x x) 1/2)
0.0ms	x	@	inf	(.f64 (.f64 1/3 x) (.f64 (.f64 x x) 1/2))
0.0ms	x	@	0	(.f64 (.f64 1/3 x) (.f64 (.f64 x x) 1/2))
0.0ms	x	@	0	(*.f64 1/3 x)

rewrite91.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1710×	`add-sqr-sqrt`
1686×	`*-un-lft-identity`
1574×	`add-cube-cbrt`
1554×	`add-cbrt-cube`
174×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	45
1	187	39
2	2208	39

Stop Event

1×	node limit

Counts

3 → 39

Calls

Call 1

Inputs
(*.f64 1/3 x)
(.f64 (.f64 1/3 x) (.f64 (.f64 x x) 1/2))
(.f64 (.f64 x x) 1/2)

Outputs

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

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

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

simplify102.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1760×	`associate-*r/`
1338×	`fma-def`
1064×	`log-prod`
738×	`unswap-sqr`
418×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	98	741
1	224	741
2	853	741
3	3277	741
4	7172	741

Stop Event

1×	node limit

Counts

63 → 43

Calls

Call 1

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

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

localize16.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 x (+.f64 (.f64 1/3 (*.f64 x x)) 2))
	0.2b	(.f64 1/3 (.f64 x x))

Compiler

Compiled 39 to 22 computations (43.6% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(.f64 x (+.f64 (.f64 1/3 (*.f64 x x)) 2))
0.0ms	x	@	inf	(.f64 x (+.f64 (.f64 1/3 (*.f64 x x)) 2))
0.0ms	x	@	-inf	(.f64 x (+.f64 (.f64 1/3 (*.f64 x x)) 2))

rewrite99.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

894×	`*-commutative`
706×	`unswap-sqr`
558×	`swap-sqr`
540×	`associate-*r/`
424×	`associate-*l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	201	21
2	2557	21

Stop Event

1×	node limit

Counts

1 → 59

Calls

Call 1

Inputs
(.f64 x (+.f64 (.f64 1/3 (*.f64 x x)) 2))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 2) (*.f64 1/3 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 1/3 (*.f64 x x) 2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 1/3 (*.f64 x x) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 1 (fma.f64 1/3 (*.f64 x x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 1/3 (*.f64 x x) -2) (*.f64 x (+.f64 (*.f64 (pow.f64 x 4) 1/9) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/9) (+.f64 4 (*.f64 (*.f64 x x) -2/3))) (*.f64 x (+.f64 8 (*.f64 (pow.f64 x 6) 1/27)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 x (fma.f64 1/3 (*.f64 x x) -2)) (-.f64 (*.f64 (pow.f64 x 6) 1/9) (*.f64 (*.f64 x x) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/9) (*.f64 (*.f64 x 2) (-.f64 (*.f64 x 2) (*.f64 1/3 (pow.f64 x 3))))) (+.f64 (pow.f64 (*.f64 1/3 (pow.f64 x 3)) 3) (pow.f64 (*.f64 x 2) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/9) -4) (/.f64 (fma.f64 1/3 (*.f64 x x) -2) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 8 (*.f64 (pow.f64 x 6) 1/27)) (/.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/9) (+.f64 4 (*.f64 (*.f64 x x) -2/3))) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 (*.f64 (pow.f64 x 4) 1/9) -4)) (fma.f64 1/3 (*.f64 x x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 8 (*.f64 (pow.f64 x 6) 1/27))) (+.f64 (*.f64 (pow.f64 x 4) 1/9) (+.f64 4 (*.f64 (*.f64 x x) -2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/9) (*.f64 (*.f64 x x) 4)) (*.f64 x (fma.f64 1/3 (*.f64 x x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 1/3 (pow.f64 x 3)) 3) (pow.f64 (*.f64 x 2) 3)) (+.f64 (*.f64 (pow.f64 x 6) 1/9) (*.f64 (*.f64 x 2) (-.f64 (*.f64 x 2) (*.f64 1/3 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 1/3 (pow.f64 x 3)) 3) (pow.f64 (*.f64 x 2) 3)) (+.f64 (*.f64 (*.f64 x x) 4) (-.f64 (*.f64 (pow.f64 x 6) 1/9) (*.f64 (*.f64 x 2) (*.f64 1/3 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 4 (*.f64 -1/9 (pow.f64 x 4)))) (+.f64 2 (*.f64 (*.f64 x x) -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (neg.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/9) -4))) (+.f64 (*.f64 (*.f64 x x) -1/3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 -8 (neg.f64 (*.f64 (pow.f64 x 6) 1/27)))) (neg.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/9) (+.f64 4 (*.f64 (*.f64 x x) -2/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (*.f64 x (+.f64 (*.f64 (pow.f64 x 4) 1/9) -4))) (fma.f64 1/3 (*.f64 x x) -2))))) (#(struct:change #<rule egg-rr> (2) 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simplify115.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1122×	`associate-/l*`
1002×	`times-frac`
870×	`*-commutative`
702×	`associate-+r+`
662×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	193	3139
1	545	2947
2	2001	2931
3	7035	2931

Stop Event

1×	node limit

Counts

71 → 97

Calls

Call 1

Inputs
(*.f64 2 x)
(+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3)))
(+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3)))
(+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3)))
(*.f64 1/3 (pow.f64 x 3))
(+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3)))
(+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3)))
(+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3)))
(*.f64 1/3 (pow.f64 x 3))
(+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3)))
(+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3)))
(+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3)))
(+.f64 (.f64 x 2) (.f64 1/3 (pow.f64 x 3)))
(+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 x 2))
(+.f64 (exp.f64 (log1p.f64 (.f64 x (fma.f64 1/3 (.f64 x x) 2)))) -1)
(-.f64 (exp.f64 (log1p.f64 (.f64 x (fma.f64 1/3 (.f64 x x) 2)))) 1)
(/.f64 x (/.f64 1 (fma.f64 1/3 (*.f64 x x) 2)))
(/.f64 1 (/.f64 (fma.f64 1/3 (.f64 x x) -2) (.f64 x (+.f64 (*.f64 (pow.f64 x 4) 1/9) -4))))
(/.f64 1 (/.f64 (+.f64 (.f64 (pow.f64 x 4) 1/9) (+.f64 4 (.f64 (.f64 x x) -2/3))) (.f64 x (+.f64 8 (*.f64 (pow.f64 x 6) 1/27)))))
(/.f64 1 (/.f64 (.f64 x (fma.f64 1/3 (.f64 x x) -2)) (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 (*.f64 x x) 4))))
(/.f64 1 (/.f64 (+.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 (.f64 x 2) (-.f64 (.f64 x 2) (.f64 1/3 (pow.f64 x 3))))) (+.f64 (pow.f64 (.f64 1/3 (pow.f64 x 3)) 3) (pow.f64 (*.f64 x 2) 3))))
(/.f64 (+.f64 (.f64 (pow.f64 x 4) 1/9) -4) (/.f64 (fma.f64 1/3 (.f64 x x) -2) x))
(/.f64 (+.f64 8 (.f64 (pow.f64 x 6) 1/27)) (/.f64 (+.f64 (.f64 (pow.f64 x 4) 1/9) (+.f64 4 (.f64 (.f64 x x) -2/3))) x))
(/.f64 (.f64 x (+.f64 (.f64 (pow.f64 x 4) 1/9) -4)) (fma.f64 1/3 (*.f64 x x) -2))
(/.f64 (.f64 x (+.f64 8 (.f64 (pow.f64 x 6) 1/27))) (+.f64 (.f64 (pow.f64 x 4) 1/9) (+.f64 4 (.f64 (*.f64 x x) -2/3))))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 (.f64 x x) 4)) (.f64 x (fma.f64 1/3 (*.f64 x x) -2)))
(/.f64 (+.f64 (pow.f64 (.f64 1/3 (pow.f64 x 3)) 3) (pow.f64 (.f64 x 2) 3)) (+.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 (.f64 x 2) (-.f64 (.f64 x 2) (*.f64 1/3 (pow.f64 x 3))))))
(/.f64 (+.f64 (pow.f64 (.f64 1/3 (pow.f64 x 3)) 3) (pow.f64 (.f64 x 2) 3)) (+.f64 (.f64 (.f64 x x) 4) (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 (.f64 x 2) (.f64 1/3 (pow.f64 x 3))))))
(/.f64 (.f64 x (+.f64 4 (.f64 -1/9 (pow.f64 x 4)))) (+.f64 2 (.f64 (.f64 x x) -1/3)))
(/.f64 (.f64 x (neg.f64 (+.f64 (.f64 (pow.f64 x 4) 1/9) -4))) (+.f64 (.f64 (.f64 x x) -1/3) 2))
(/.f64 (.f64 x (+.f64 -8 (neg.f64 (.f64 (pow.f64 x 6) 1/27)))) (neg.f64 (+.f64 (.f64 (pow.f64 x 4) 1/9) (+.f64 4 (.f64 (*.f64 x x) -2/3)))))
(/.f64 (.f64 1 (.f64 x (+.f64 (.f64 (pow.f64 x 4) 1/9) -4))) (fma.f64 1/3 (.f64 x x) -2))
(/.f64 (.f64 1 (.f64 x (+.f64 8 (.f64 (pow.f64 x 6) 1/27)))) (+.f64 (.f64 (pow.f64 x 4) 1/9) (+.f64 4 (.f64 (.f64 x x) -2/3))))
(/.f64 (.f64 1 (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 (.f64 x x) 4))) (.f64 x (fma.f64 1/3 (.f64 x x) -2)))
(/.f64 (.f64 1 (+.f64 (pow.f64 (.f64 1/3 (pow.f64 x 3)) 3) (pow.f64 (.f64 x 2) 3))) (+.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 (.f64 x 2) (-.f64 (.f64 x 2) (.f64 1/3 (pow.f64 x 3))))))
(/.f64 (.f64 (.f64 x (sqrt.f64 (fma.f64 1/3 (.f64 x x) 2))) (sqrt.f64 (+.f64 (.f64 (pow.f64 x 4) 1/9) -4))) (sqrt.f64 (fma.f64 1/3 (*.f64 x x) -2)))
(/.f64 (.f64 (.f64 x (sqrt.f64 (fma.f64 1/3 (.f64 x x) 2))) (sqrt.f64 (+.f64 8 (.f64 (pow.f64 x 6) 1/27)))) (sqrt.f64 (+.f64 (.f64 (pow.f64 x 4) 1/9) (+.f64 4 (.f64 (*.f64 x x) -2/3)))))
(/.f64 (.f64 (.f64 x (pow.f64 (cbrt.f64 (fma.f64 1/3 (.f64 x x) 2)) 2)) (cbrt.f64 (+.f64 (.f64 (pow.f64 x 4) 1/9) -4))) (cbrt.f64 (fma.f64 1/3 (*.f64 x x) -2)))
(/.f64 (.f64 (.f64 x (pow.f64 (cbrt.f64 (fma.f64 1/3 (.f64 x x) 2)) 2)) (cbrt.f64 (+.f64 8 (.f64 (pow.f64 x 6) 1/27)))) (cbrt.f64 (+.f64 (.f64 (pow.f64 x 4) 1/9) (+.f64 4 (.f64 (*.f64 x x) -2/3)))))
(/.f64 (.f64 (+.f64 4 (.f64 -1/9 (pow.f64 x 4))) x) (+.f64 2 (.f64 (.f64 x x) -1/3)))
(/.f64 (.f64 (neg.f64 (+.f64 (.f64 (pow.f64 x 4) 1/9) -4)) x) (+.f64 (.f64 (.f64 x x) -1/3) 2))
(/.f64 (.f64 (+.f64 -8 (neg.f64 (.f64 (pow.f64 x 6) 1/27))) x) (neg.f64 (+.f64 (.f64 (pow.f64 x 4) 1/9) (+.f64 4 (.f64 (*.f64 x x) -2/3)))))
(/.f64 (.f64 (.f64 x (+.f64 (.f64 (pow.f64 x 4) 1/9) -4)) 1) (fma.f64 1/3 (.f64 x x) -2))
(/.f64 (.f64 (.f64 x (+.f64 8 (.f64 (pow.f64 x 6) 1/27))) 1) (+.f64 (.f64 (pow.f64 x 4) 1/9) (+.f64 4 (.f64 (.f64 x x) -2/3))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 (.f64 x x) 4)) 1) (.f64 x (fma.f64 1/3 (.f64 x x) -2)))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 1/3 (pow.f64 x 3)) 3) (pow.f64 (.f64 x 2) 3)) 1) (+.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 (.f64 x 2) (-.f64 (.f64 x 2) (.f64 1/3 (pow.f64 x 3))))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (.f64 (pow.f64 x 4) 1/9) -4)) (.f64 x (sqrt.f64 (fma.f64 1/3 (.f64 x x) 2)))) (sqrt.f64 (fma.f64 1/3 (*.f64 x x) -2)))
(/.f64 (.f64 (sqrt.f64 (+.f64 8 (.f64 (pow.f64 x 6) 1/27))) (.f64 x (sqrt.f64 (fma.f64 1/3 (.f64 x x) 2)))) (sqrt.f64 (+.f64 (.f64 (pow.f64 x 4) 1/9) (+.f64 4 (.f64 (*.f64 x x) -2/3)))))
(/.f64 (/.f64 (.f64 x (+.f64 (.f64 (pow.f64 x 4) 1/9) -4)) 1) (fma.f64 1/3 (*.f64 x x) -2))
(/.f64 (/.f64 (.f64 x (+.f64 (.f64 (pow.f64 x 4) 1/9) -4)) (sqrt.f64 (fma.f64 1/3 (.f64 x x) -2))) (sqrt.f64 (fma.f64 1/3 (.f64 x x) -2)))
(/.f64 (/.f64 (.f64 x (+.f64 (.f64 (pow.f64 x 4) 1/9) -4)) (.f64 (cbrt.f64 (fma.f64 1/3 (.f64 x x) -2)) (cbrt.f64 (fma.f64 1/3 (.f64 x x) -2)))) (cbrt.f64 (fma.f64 1/3 (.f64 x x) -2)))
(/.f64 (/.f64 (.f64 x (+.f64 8 (.f64 (pow.f64 x 6) 1/27))) 1) (+.f64 (.f64 (pow.f64 x 4) 1/9) (+.f64 4 (.f64 (*.f64 x x) -2/3))))
(/.f64 (/.f64 (.f64 x (+.f64 8 (.f64 (pow.f64 x 6) 1/27))) (sqrt.f64 (+.f64 (.f64 (pow.f64 x 4) 1/9) (+.f64 4 (.f64 (.f64 x x) -2/3))))) (sqrt.f64 (+.f64 (.f64 (pow.f64 x 4) 1/9) (+.f64 4 (.f64 (.f64 x x) -2/3)))))
(/.f64 (/.f64 (.f64 x (+.f64 8 (.f64 (pow.f64 x 6) 1/27))) (.f64 (cbrt.f64 (+.f64 (.f64 (pow.f64 x 4) 1/9) (+.f64 4 (.f64 (.f64 x x) -2/3)))) (cbrt.f64 (+.f64 (.f64 (pow.f64 x 4) 1/9) (+.f64 4 (.f64 (.f64 x x) -2/3)))))) (cbrt.f64 (+.f64 (.f64 (pow.f64 x 4) 1/9) (+.f64 4 (.f64 (.f64 x x) -2/3)))))
(/.f64 (-.f64 (.f64 (.f64 x x) 4) (.f64 (pow.f64 x 6) 1/9)) (-.f64 (.f64 x 2) (*.f64 1/3 (pow.f64 x 3))))
(/.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (.f64 x (fma.f64 1/3 (.f64 x x) 2)))) (exp.f64 (log1p.f64 (.f64 x (fma.f64 1/3 (.f64 x x) 2))))) 1) (+.f64 (exp.f64 (log1p.f64 (.f64 x (fma.f64 1/3 (*.f64 x x) 2)))) 1))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (.f64 x (fma.f64 1/3 (.f64 x x) 2)))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (.f64 x (fma.f64 1/3 (.f64 x x) 2)))) (exp.f64 (log1p.f64 (.f64 x (fma.f64 1/3 (.f64 x x) 2))))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (.f64 x (fma.f64 1/3 (.f64 x x) 2)))) 1))))
(pow.f64 (.f64 x (fma.f64 1/3 (.f64 x x) 2)) 1)
(pow.f64 (sqrt.f64 (.f64 x (fma.f64 1/3 (.f64 x x) 2))) 2)
(pow.f64 (cbrt.f64 (.f64 x (fma.f64 1/3 (.f64 x x) 2))) 3)
(pow.f64 (pow.f64 (.f64 x (fma.f64 1/3 (.f64 x x) 2)) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 x (fma.f64 1/3 (.f64 x x) 2)) 2))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 1/3 (*.f64 x x) 2)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (fma.f64 1/3 (.f64 x x) 2)))))
(cbrt.f64 (pow.f64 (.f64 x (fma.f64 1/3 (.f64 x x) 2)) 3))
(cbrt.f64 (.f64 (pow.f64 (fma.f64 1/3 (.f64 x x) 2) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (.f64 x (fma.f64 1/3 (.f64 x x) 2))))
(exp.f64 (log.f64 (.f64 x (fma.f64 1/3 (.f64 x x) 2))))
(log1p.f64 (expm1.f64 (.f64 x (fma.f64 1/3 (.f64 x x) 2))))
(fma.f64 x (.f64 1/3 (.f64 x x)) (*.f64 x 2))
(fma.f64 (.f64 1/3 (.f64 x x)) x (*.f64 x 2))

Outputs
(*.f64 2 x)
(+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3)))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 2 x))
(.f64 x (fma.f64 x (.f64 x 1/3) 2))
(+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3)))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 2 x))
(.f64 x (fma.f64 x (.f64 x 1/3) 2))
(+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3)))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 2 x))
(.f64 x (fma.f64 x (.f64 x 1/3) 2))
(*.f64 1/3 (pow.f64 x 3))
(+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3)))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 2 x))
(.f64 x (fma.f64 x (.f64 x 1/3) 2))
(+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3)))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 2 x))
(.f64 x (fma.f64 x (.f64 x 1/3) 2))
(+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3)))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 2 x))
(.f64 x (fma.f64 x (.f64 x 1/3) 2))
(*.f64 1/3 (pow.f64 x 3))
(+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3)))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 2 x))
(.f64 x (fma.f64 x (.f64 x 1/3) 2))
(+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3)))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 2 x))
(.f64 x (fma.f64 x (.f64 x 1/3) 2))
(+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3)))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 2 x))
(.f64 x (fma.f64 x (.f64 x 1/3) 2))
(+.f64 (.f64 x 2) (.f64 1/3 (pow.f64 x 3)))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 2 x))
(.f64 x (fma.f64 x (.f64 x 1/3) 2))
(+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 x 2))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 2 x))
(.f64 x (fma.f64 x (.f64 x 1/3) 2))
(+.f64 (exp.f64 (log1p.f64 (.f64 x (fma.f64 1/3 (.f64 x x) 2)))) -1)
(fma.f64 1/3 (pow.f64 x 3) (*.f64 2 x))
(.f64 x (fma.f64 x (.f64 x 1/3) 2))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (fma.f64 1/3 (.f64 x x) 2)))) 1)
(fma.f64 1/3 (pow.f64 x 3) (*.f64 2 x))
(.f64 x (fma.f64 x (.f64 x 1/3) 2))
(/.f64 x (/.f64 1 (fma.f64 1/3 (*.f64 x x) 2)))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 2 x))
(.f64 x (fma.f64 x (.f64 x 1/3) 2))
(/.f64 1 (/.f64 (fma.f64 1/3 (.f64 x x) -2) (.f64 x (+.f64 (*.f64 (pow.f64 x 4) 1/9) -4))))
(/.f64 (.f64 x (fma.f64 (pow.f64 x 4) 1/9 -4)) (fma.f64 1/3 (.f64 x x) -2))
(.f64 x (/.f64 (fma.f64 (pow.f64 x 4) 1/9 -4) (fma.f64 1/3 (.f64 x x) -2)))
(/.f64 (fma.f64 1/9 (pow.f64 x 5) (.f64 x -4)) (fma.f64 x (.f64 x 1/3) -2))
(/.f64 1 (/.f64 (+.f64 (.f64 (pow.f64 x 4) 1/9) (+.f64 4 (.f64 (.f64 x x) -2/3))) (.f64 x (+.f64 8 (*.f64 (pow.f64 x 6) 1/27)))))
(/.f64 (.f64 x (+.f64 8 (.f64 (pow.f64 x 6) 1/27))) (fma.f64 (pow.f64 x 4) 1/9 (+.f64 4 (.f64 x (.f64 x -2/3)))))
(.f64 (/.f64 x (fma.f64 (pow.f64 x 4) 1/9 (fma.f64 x (.f64 x -2/3) 4))) (fma.f64 (pow.f64 x 6) 1/27 8))
(/.f64 (fma.f64 1/27 (pow.f64 x 7) (.f64 x 8)) (fma.f64 x (.f64 x -2/3) (fma.f64 (pow.f64 x 4) 1/9 4)))
(/.f64 1 (/.f64 (.f64 x (fma.f64 1/3 (.f64 x x) -2)) (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 (*.f64 x x) 4))))
(/.f64 (.f64 x (fma.f64 (pow.f64 x 4) 1/9 -4)) (fma.f64 1/3 (.f64 x x) -2))
(.f64 x (/.f64 (fma.f64 (pow.f64 x 4) 1/9 -4) (fma.f64 1/3 (.f64 x x) -2)))
(/.f64 (fma.f64 1/9 (pow.f64 x 5) (.f64 x -4)) (fma.f64 x (.f64 x 1/3) -2))
(/.f64 1 (/.f64 (+.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 (.f64 x 2) (-.f64 (.f64 x 2) (.f64 1/3 (pow.f64 x 3))))) (+.f64 (pow.f64 (.f64 1/3 (pow.f64 x 3)) 3) (pow.f64 (*.f64 x 2) 3))))
(/.f64 (+.f64 (.f64 1/27 (pow.f64 (pow.f64 x 3) 3)) (.f64 (pow.f64 x 3) 8)) (fma.f64 (pow.f64 x 6) 1/9 (.f64 (.f64 2 x) (+.f64 (.f64 2 x) (.f64 -1/3 (pow.f64 x 3))))))
(/.f64 (fma.f64 1/27 (pow.f64 (pow.f64 x 3) 3) (.f64 (pow.f64 x 3) 8)) (fma.f64 (.f64 2 x) (fma.f64 2 x (.f64 (pow.f64 x 3) -1/3)) (.f64 1/9 (pow.f64 x 6))))
(/.f64 (fma.f64 (pow.f64 x 3) 8 (.f64 1/27 (pow.f64 (pow.f64 x 3) 3))) (fma.f64 1/9 (pow.f64 x 6) (.f64 x (+.f64 (.f64 x 4) (.f64 -2/3 (pow.f64 x 3))))))
(/.f64 (+.f64 (.f64 (pow.f64 x 4) 1/9) -4) (/.f64 (fma.f64 1/3 (.f64 x x) -2) x))
(/.f64 (.f64 x (fma.f64 (pow.f64 x 4) 1/9 -4)) (fma.f64 1/3 (.f64 x x) -2))
(.f64 x (/.f64 (fma.f64 (pow.f64 x 4) 1/9 -4) (fma.f64 1/3 (.f64 x x) -2)))
(/.f64 (fma.f64 1/9 (pow.f64 x 5) (.f64 x -4)) (fma.f64 x (.f64 x 1/3) -2))
(/.f64 (+.f64 8 (.f64 (pow.f64 x 6) 1/27)) (/.f64 (+.f64 (.f64 (pow.f64 x 4) 1/9) (+.f64 4 (.f64 (.f64 x x) -2/3))) x))
(/.f64 (.f64 x (+.f64 8 (.f64 (pow.f64 x 6) 1/27))) (fma.f64 (pow.f64 x 4) 1/9 (+.f64 4 (.f64 x (.f64 x -2/3)))))
(.f64 (/.f64 x (fma.f64 (pow.f64 x 4) 1/9 (fma.f64 x (.f64 x -2/3) 4))) (fma.f64 (pow.f64 x 6) 1/27 8))
(/.f64 (fma.f64 1/27 (pow.f64 x 7) (.f64 x 8)) (fma.f64 x (.f64 x -2/3) (fma.f64 (pow.f64 x 4) 1/9 4)))
(/.f64 (.f64 x (+.f64 (.f64 (pow.f64 x 4) 1/9) -4)) (fma.f64 1/3 (*.f64 x x) -2))
(/.f64 (.f64 x (fma.f64 (pow.f64 x 4) 1/9 -4)) (fma.f64 1/3 (.f64 x x) -2))
(.f64 x (/.f64 (fma.f64 (pow.f64 x 4) 1/9 -4) (fma.f64 1/3 (.f64 x x) -2)))
(/.f64 (fma.f64 1/9 (pow.f64 x 5) (.f64 x -4)) (fma.f64 x (.f64 x 1/3) -2))
(/.f64 (.f64 x (+.f64 8 (.f64 (pow.f64 x 6) 1/27))) (+.f64 (.f64 (pow.f64 x 4) 1/9) (+.f64 4 (.f64 (*.f64 x x) -2/3))))
(/.f64 (.f64 x (+.f64 8 (.f64 (pow.f64 x 6) 1/27))) (fma.f64 (pow.f64 x 4) 1/9 (+.f64 4 (.f64 x (.f64 x -2/3)))))
(.f64 (/.f64 x (fma.f64 (pow.f64 x 4) 1/9 (fma.f64 x (.f64 x -2/3) 4))) (fma.f64 (pow.f64 x 6) 1/27 8))
(/.f64 (fma.f64 1/27 (pow.f64 x 7) (.f64 x 8)) (fma.f64 x (.f64 x -2/3) (fma.f64 (pow.f64 x 4) 1/9 4)))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 (.f64 x x) 4)) (.f64 x (fma.f64 1/3 (*.f64 x x) -2)))
(/.f64 (.f64 x (fma.f64 (pow.f64 x 4) 1/9 -4)) (fma.f64 1/3 (.f64 x x) -2))
(.f64 x (/.f64 (fma.f64 (pow.f64 x 4) 1/9 -4) (fma.f64 1/3 (.f64 x x) -2)))
(/.f64 (fma.f64 1/9 (pow.f64 x 5) (.f64 x -4)) (fma.f64 x (.f64 x 1/3) -2))
(/.f64 (+.f64 (pow.f64 (.f64 1/3 (pow.f64 x 3)) 3) (pow.f64 (.f64 x 2) 3)) (+.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 (.f64 x 2) (-.f64 (.f64 x 2) (*.f64 1/3 (pow.f64 x 3))))))
(/.f64 (+.f64 (.f64 1/27 (pow.f64 (pow.f64 x 3) 3)) (.f64 (pow.f64 x 3) 8)) (fma.f64 (pow.f64 x 6) 1/9 (.f64 (.f64 2 x) (+.f64 (.f64 2 x) (.f64 -1/3 (pow.f64 x 3))))))
(/.f64 (fma.f64 1/27 (pow.f64 (pow.f64 x 3) 3) (.f64 (pow.f64 x 3) 8)) (fma.f64 (.f64 2 x) (fma.f64 2 x (.f64 (pow.f64 x 3) -1/3)) (.f64 1/9 (pow.f64 x 6))))
(/.f64 (fma.f64 (pow.f64 x 3) 8 (.f64 1/27 (pow.f64 (pow.f64 x 3) 3))) (fma.f64 1/9 (pow.f64 x 6) (.f64 x (+.f64 (.f64 x 4) (.f64 -2/3 (pow.f64 x 3))))))
(/.f64 (+.f64 (pow.f64 (.f64 1/3 (pow.f64 x 3)) 3) (pow.f64 (.f64 x 2) 3)) (+.f64 (.f64 (.f64 x x) 4) (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 (.f64 x 2) (.f64 1/3 (pow.f64 x 3))))))
(/.f64 (+.f64 (.f64 1/27 (pow.f64 (pow.f64 x 3) 3)) (.f64 (pow.f64 x 3) 8)) (fma.f64 (pow.f64 x 6) 1/9 (.f64 (.f64 2 x) (+.f64 (.f64 2 x) (.f64 -1/3 (pow.f64 x 3))))))
(/.f64 (fma.f64 1/27 (pow.f64 (pow.f64 x 3) 3) (.f64 (pow.f64 x 3) 8)) (fma.f64 (.f64 2 x) (fma.f64 2 x (.f64 (pow.f64 x 3) -1/3)) (.f64 1/9 (pow.f64 x 6))))
(/.f64 (fma.f64 (pow.f64 x 3) 8 (.f64 1/27 (pow.f64 (pow.f64 x 3) 3))) (fma.f64 1/9 (pow.f64 x 6) (.f64 x (+.f64 (.f64 x 4) (.f64 -2/3 (pow.f64 x 3))))))
(/.f64 (.f64 x (+.f64 4 (.f64 -1/9 (pow.f64 x 4)))) (+.f64 2 (.f64 (.f64 x x) -1/3)))
(/.f64 (+.f64 4 (.f64 (pow.f64 x 4) -1/9)) (/.f64 (fma.f64 (.f64 x x) -1/3 2) x))
(.f64 (/.f64 x (fma.f64 x (.f64 x -1/3) 2)) (fma.f64 (pow.f64 x 4) -1/9 4))
(.f64 x (/.f64 (fma.f64 (pow.f64 x 4) -1/9 4) (fma.f64 x (.f64 x -1/3) 2)))
(/.f64 (.f64 x (neg.f64 (+.f64 (.f64 (pow.f64 x 4) 1/9) -4))) (+.f64 (.f64 (.f64 x x) -1/3) 2))
(/.f64 (+.f64 4 (.f64 (pow.f64 x 4) -1/9)) (/.f64 (fma.f64 (.f64 x x) -1/3 2) x))
(.f64 (/.f64 x (fma.f64 x (.f64 x -1/3) 2)) (fma.f64 (pow.f64 x 4) -1/9 4))
(.f64 x (/.f64 (fma.f64 (pow.f64 x 4) -1/9 4) (fma.f64 x (.f64 x -1/3) 2)))
(/.f64 (.f64 x (+.f64 -8 (neg.f64 (.f64 (pow.f64 x 6) 1/27)))) (neg.f64 (+.f64 (.f64 (pow.f64 x 4) 1/9) (+.f64 4 (.f64 (*.f64 x x) -2/3)))))
(/.f64 x (/.f64 (neg.f64 (fma.f64 (pow.f64 x 4) 1/9 (+.f64 4 (.f64 x (.f64 x -2/3))))) (+.f64 -8 (*.f64 (pow.f64 x 6) -1/27))))
(.f64 (/.f64 (fma.f64 (pow.f64 x 6) -1/27 -8) (-.f64 (.f64 (pow.f64 x 4) -1/9) (fma.f64 x (*.f64 x -2/3) 4))) x)
(.f64 x (/.f64 (fma.f64 (pow.f64 x 6) -1/27 -8) (-.f64 -4 (fma.f64 x (.f64 x -2/3) (*.f64 (pow.f64 x 4) 1/9)))))
(/.f64 (.f64 1 (.f64 x (+.f64 (.f64 (pow.f64 x 4) 1/9) -4))) (fma.f64 1/3 (.f64 x x) -2))
(/.f64 (.f64 x (fma.f64 (pow.f64 x 4) 1/9 -4)) (fma.f64 1/3 (.f64 x x) -2))
(.f64 x (/.f64 (fma.f64 (pow.f64 x 4) 1/9 -4) (fma.f64 1/3 (.f64 x x) -2)))
(/.f64 (fma.f64 1/9 (pow.f64 x 5) (.f64 x -4)) (fma.f64 x (.f64 x 1/3) -2))
(/.f64 (.f64 1 (.f64 x (+.f64 8 (.f64 (pow.f64 x 6) 1/27)))) (+.f64 (.f64 (pow.f64 x 4) 1/9) (+.f64 4 (.f64 (.f64 x x) -2/3))))
(/.f64 (.f64 x (+.f64 8 (.f64 (pow.f64 x 6) 1/27))) (fma.f64 (pow.f64 x 4) 1/9 (+.f64 4 (.f64 x (.f64 x -2/3)))))
(.f64 (/.f64 x (fma.f64 (pow.f64 x 4) 1/9 (fma.f64 x (.f64 x -2/3) 4))) (fma.f64 (pow.f64 x 6) 1/27 8))
(/.f64 (fma.f64 1/27 (pow.f64 x 7) (.f64 x 8)) (fma.f64 x (.f64 x -2/3) (fma.f64 (pow.f64 x 4) 1/9 4)))
(/.f64 (.f64 1 (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 (.f64 x x) 4))) (.f64 x (fma.f64 1/3 (.f64 x x) -2)))
(/.f64 (.f64 x (fma.f64 (pow.f64 x 4) 1/9 -4)) (fma.f64 1/3 (.f64 x x) -2))
(.f64 x (/.f64 (fma.f64 (pow.f64 x 4) 1/9 -4) (fma.f64 1/3 (.f64 x x) -2)))
(/.f64 (fma.f64 1/9 (pow.f64 x 5) (.f64 x -4)) (fma.f64 x (.f64 x 1/3) -2))
(/.f64 (.f64 1 (+.f64 (pow.f64 (.f64 1/3 (pow.f64 x 3)) 3) (pow.f64 (.f64 x 2) 3))) (+.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 (.f64 x 2) (-.f64 (.f64 x 2) (.f64 1/3 (pow.f64 x 3))))))
(/.f64 (+.f64 (.f64 1/27 (pow.f64 (pow.f64 x 3) 3)) (.f64 (pow.f64 x 3) 8)) (fma.f64 (pow.f64 x 6) 1/9 (.f64 (.f64 2 x) (+.f64 (.f64 2 x) (.f64 -1/3 (pow.f64 x 3))))))
(/.f64 (fma.f64 1/27 (pow.f64 (pow.f64 x 3) 3) (.f64 (pow.f64 x 3) 8)) (fma.f64 (.f64 2 x) (fma.f64 2 x (.f64 (pow.f64 x 3) -1/3)) (.f64 1/9 (pow.f64 x 6))))
(/.f64 (fma.f64 (pow.f64 x 3) 8 (.f64 1/27 (pow.f64 (pow.f64 x 3) 3))) (fma.f64 1/9 (pow.f64 x 6) (.f64 x (+.f64 (.f64 x 4) (.f64 -2/3 (pow.f64 x 3))))))
(/.f64 (.f64 (.f64 x (sqrt.f64 (fma.f64 1/3 (.f64 x x) 2))) (sqrt.f64 (+.f64 (.f64 (pow.f64 x 4) 1/9) -4))) (sqrt.f64 (fma.f64 1/3 (*.f64 x x) -2)))
(/.f64 (.f64 x (sqrt.f64 (fma.f64 1/3 (.f64 x x) 2))) (/.f64 (sqrt.f64 (fma.f64 1/3 (*.f64 x x) -2)) (sqrt.f64 (fma.f64 (pow.f64 x 4) 1/9 -4))))
(.f64 (/.f64 (.f64 x (sqrt.f64 (fma.f64 1/3 (.f64 x x) 2))) (sqrt.f64 (fma.f64 1/3 (.f64 x x) -2))) (sqrt.f64 (fma.f64 (pow.f64 x 4) 1/9 -4)))
(.f64 (.f64 x (sqrt.f64 (fma.f64 x (.f64 x 1/3) 2))) (/.f64 (sqrt.f64 (fma.f64 (pow.f64 x 4) 1/9 -4)) (sqrt.f64 (fma.f64 x (.f64 x 1/3) -2))))
(/.f64 (.f64 (.f64 x (sqrt.f64 (fma.f64 1/3 (.f64 x x) 2))) (sqrt.f64 (+.f64 8 (.f64 (pow.f64 x 6) 1/27)))) (sqrt.f64 (+.f64 (.f64 (pow.f64 x 4) 1/9) (+.f64 4 (.f64 (*.f64 x x) -2/3)))))
(/.f64 (.f64 x (sqrt.f64 (fma.f64 1/3 (.f64 x x) 2))) (/.f64 (sqrt.f64 (fma.f64 (pow.f64 x 4) 1/9 (+.f64 4 (.f64 x (.f64 x -2/3))))) (sqrt.f64 (+.f64 8 (*.f64 (pow.f64 x 6) 1/27)))))
(.f64 (/.f64 (.f64 x (sqrt.f64 (fma.f64 1/3 (.f64 x x) 2))) (sqrt.f64 (fma.f64 (pow.f64 x 4) 1/9 (fma.f64 x (.f64 x -2/3) 4)))) (sqrt.f64 (fma.f64 (pow.f64 x 6) 1/27 8)))
(.f64 (.f64 x (sqrt.f64 (fma.f64 x (.f64 x 1/3) 2))) (/.f64 (sqrt.f64 (fma.f64 (pow.f64 x 6) 1/27 8)) (sqrt.f64 (fma.f64 x (.f64 x -2/3) (fma.f64 (pow.f64 x 4) 1/9 4)))))
(/.f64 (.f64 (.f64 x (pow.f64 (cbrt.f64 (fma.f64 1/3 (.f64 x x) 2)) 2)) (cbrt.f64 (+.f64 (.f64 (pow.f64 x 4) 1/9) -4))) (cbrt.f64 (fma.f64 1/3 (*.f64 x x) -2)))
(/.f64 (.f64 x (pow.f64 (cbrt.f64 (fma.f64 1/3 (.f64 x x) 2)) 2)) (/.f64 (cbrt.f64 (fma.f64 1/3 (*.f64 x x) -2)) (cbrt.f64 (fma.f64 (pow.f64 x 4) 1/9 -4))))
(/.f64 x (/.f64 (/.f64 (cbrt.f64 (fma.f64 1/3 (.f64 x x) -2)) (cbrt.f64 (fma.f64 (pow.f64 x 4) 1/9 -4))) (pow.f64 (cbrt.f64 (fma.f64 1/3 (.f64 x x) 2)) 2)))
(.f64 (cbrt.f64 (fma.f64 (pow.f64 x 4) 1/9 -4)) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x 1/3) 2)) 2) (/.f64 (cbrt.f64 (fma.f64 x (*.f64 x 1/3) -2)) x)))
(/.f64 (.f64 (.f64 x (pow.f64 (cbrt.f64 (fma.f64 1/3 (.f64 x x) 2)) 2)) (cbrt.f64 (+.f64 8 (.f64 (pow.f64 x 6) 1/27)))) (cbrt.f64 (+.f64 (.f64 (pow.f64 x 4) 1/9) (+.f64 4 (.f64 (*.f64 x x) -2/3)))))
(/.f64 (.f64 x (pow.f64 (cbrt.f64 (fma.f64 1/3 (.f64 x x) 2)) 2)) (/.f64 (cbrt.f64 (fma.f64 (pow.f64 x 4) 1/9 (+.f64 4 (.f64 x (.f64 x -2/3))))) (cbrt.f64 (+.f64 8 (*.f64 (pow.f64 x 6) 1/27)))))
(/.f64 x (/.f64 (cbrt.f64 (fma.f64 (pow.f64 x 4) 1/9 (fma.f64 x (.f64 x -2/3) 4))) (.f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 (*.f64 x x) 2)) 2) (cbrt.f64 (fma.f64 (pow.f64 x 6) 1/27 8)))))
(.f64 (cbrt.f64 (fma.f64 (pow.f64 x 6) 1/27 8)) (/.f64 x (/.f64 (cbrt.f64 (fma.f64 x (.f64 x -2/3) (fma.f64 (pow.f64 x 4) 1/9 4))) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 1/3) 2)) 2))))
(/.f64 (.f64 (+.f64 4 (.f64 -1/9 (pow.f64 x 4))) x) (+.f64 2 (.f64 (.f64 x x) -1/3)))
(/.f64 (+.f64 4 (.f64 (pow.f64 x 4) -1/9)) (/.f64 (fma.f64 (.f64 x x) -1/3 2) x))
(.f64 (/.f64 x (fma.f64 x (.f64 x -1/3) 2)) (fma.f64 (pow.f64 x 4) -1/9 4))
(.f64 x (/.f64 (fma.f64 (pow.f64 x 4) -1/9 4) (fma.f64 x (.f64 x -1/3) 2)))
(/.f64 (.f64 (neg.f64 (+.f64 (.f64 (pow.f64 x 4) 1/9) -4)) x) (+.f64 (.f64 (.f64 x x) -1/3) 2))
(/.f64 (+.f64 4 (.f64 (pow.f64 x 4) -1/9)) (/.f64 (fma.f64 (.f64 x x) -1/3 2) x))
(.f64 (/.f64 x (fma.f64 x (.f64 x -1/3) 2)) (fma.f64 (pow.f64 x 4) -1/9 4))
(.f64 x (/.f64 (fma.f64 (pow.f64 x 4) -1/9 4) (fma.f64 x (.f64 x -1/3) 2)))
(/.f64 (.f64 (+.f64 -8 (neg.f64 (.f64 (pow.f64 x 6) 1/27))) x) (neg.f64 (+.f64 (.f64 (pow.f64 x 4) 1/9) (+.f64 4 (.f64 (*.f64 x x) -2/3)))))
(/.f64 x (/.f64 (neg.f64 (fma.f64 (pow.f64 x 4) 1/9 (+.f64 4 (.f64 x (.f64 x -2/3))))) (+.f64 -8 (*.f64 (pow.f64 x 6) -1/27))))
(.f64 (/.f64 (fma.f64 (pow.f64 x 6) -1/27 -8) (-.f64 (.f64 (pow.f64 x 4) -1/9) (fma.f64 x (*.f64 x -2/3) 4))) x)
(.f64 x (/.f64 (fma.f64 (pow.f64 x 6) -1/27 -8) (-.f64 -4 (fma.f64 x (.f64 x -2/3) (*.f64 (pow.f64 x 4) 1/9)))))
(/.f64 (.f64 (.f64 x (+.f64 (.f64 (pow.f64 x 4) 1/9) -4)) 1) (fma.f64 1/3 (.f64 x x) -2))
(/.f64 (.f64 x (fma.f64 (pow.f64 x 4) 1/9 -4)) (fma.f64 1/3 (.f64 x x) -2))
(.f64 x (/.f64 (fma.f64 (pow.f64 x 4) 1/9 -4) (fma.f64 1/3 (.f64 x x) -2)))
(/.f64 (fma.f64 1/9 (pow.f64 x 5) (.f64 x -4)) (fma.f64 x (.f64 x 1/3) -2))
(/.f64 (.f64 (.f64 x (+.f64 8 (.f64 (pow.f64 x 6) 1/27))) 1) (+.f64 (.f64 (pow.f64 x 4) 1/9) (+.f64 4 (.f64 (.f64 x x) -2/3))))
(/.f64 (.f64 x (+.f64 8 (.f64 (pow.f64 x 6) 1/27))) (fma.f64 (pow.f64 x 4) 1/9 (+.f64 4 (.f64 x (.f64 x -2/3)))))
(.f64 (/.f64 x (fma.f64 (pow.f64 x 4) 1/9 (fma.f64 x (.f64 x -2/3) 4))) (fma.f64 (pow.f64 x 6) 1/27 8))
(/.f64 (fma.f64 1/27 (pow.f64 x 7) (.f64 x 8)) (fma.f64 x (.f64 x -2/3) (fma.f64 (pow.f64 x 4) 1/9 4)))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 (.f64 x x) 4)) 1) (.f64 x (fma.f64 1/3 (.f64 x x) -2)))
(/.f64 (.f64 x (fma.f64 (pow.f64 x 4) 1/9 -4)) (fma.f64 1/3 (.f64 x x) -2))
(.f64 x (/.f64 (fma.f64 (pow.f64 x 4) 1/9 -4) (fma.f64 1/3 (.f64 x x) -2)))
(/.f64 (fma.f64 1/9 (pow.f64 x 5) (.f64 x -4)) (fma.f64 x (.f64 x 1/3) -2))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 1/3 (pow.f64 x 3)) 3) (pow.f64 (.f64 x 2) 3)) 1) (+.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 (.f64 x 2) (-.f64 (.f64 x 2) (.f64 1/3 (pow.f64 x 3))))))
(/.f64 (+.f64 (.f64 1/27 (pow.f64 (pow.f64 x 3) 3)) (.f64 (pow.f64 x 3) 8)) (fma.f64 (pow.f64 x 6) 1/9 (.f64 (.f64 2 x) (+.f64 (.f64 2 x) (.f64 -1/3 (pow.f64 x 3))))))
(/.f64 (fma.f64 1/27 (pow.f64 (pow.f64 x 3) 3) (.f64 (pow.f64 x 3) 8)) (fma.f64 (.f64 2 x) (fma.f64 2 x (.f64 (pow.f64 x 3) -1/3)) (.f64 1/9 (pow.f64 x 6))))
(/.f64 (fma.f64 (pow.f64 x 3) 8 (.f64 1/27 (pow.f64 (pow.f64 x 3) 3))) (fma.f64 1/9 (pow.f64 x 6) (.f64 x (+.f64 (.f64 x 4) (.f64 -2/3 (pow.f64 x 3))))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (.f64 (pow.f64 x 4) 1/9) -4)) (.f64 x (sqrt.f64 (fma.f64 1/3 (.f64 x x) 2)))) (sqrt.f64 (fma.f64 1/3 (*.f64 x x) -2)))
(/.f64 (.f64 x (sqrt.f64 (fma.f64 1/3 (.f64 x x) 2))) (/.f64 (sqrt.f64 (fma.f64 1/3 (*.f64 x x) -2)) (sqrt.f64 (fma.f64 (pow.f64 x 4) 1/9 -4))))
(.f64 (/.f64 (.f64 x (sqrt.f64 (fma.f64 1/3 (.f64 x x) 2))) (sqrt.f64 (fma.f64 1/3 (.f64 x x) -2))) (sqrt.f64 (fma.f64 (pow.f64 x 4) 1/9 -4)))
(.f64 (.f64 x (sqrt.f64 (fma.f64 x (.f64 x 1/3) 2))) (/.f64 (sqrt.f64 (fma.f64 (pow.f64 x 4) 1/9 -4)) (sqrt.f64 (fma.f64 x (.f64 x 1/3) -2))))
(/.f64 (.f64 (sqrt.f64 (+.f64 8 (.f64 (pow.f64 x 6) 1/27))) (.f64 x (sqrt.f64 (fma.f64 1/3 (.f64 x x) 2)))) (sqrt.f64 (+.f64 (.f64 (pow.f64 x 4) 1/9) (+.f64 4 (.f64 (*.f64 x x) -2/3)))))
(/.f64 (.f64 x (sqrt.f64 (fma.f64 1/3 (.f64 x x) 2))) (/.f64 (sqrt.f64 (fma.f64 (pow.f64 x 4) 1/9 (+.f64 4 (.f64 x (.f64 x -2/3))))) (sqrt.f64 (+.f64 8 (*.f64 (pow.f64 x 6) 1/27)))))
(.f64 (/.f64 (.f64 x (sqrt.f64 (fma.f64 1/3 (.f64 x x) 2))) (sqrt.f64 (fma.f64 (pow.f64 x 4) 1/9 (fma.f64 x (.f64 x -2/3) 4)))) (sqrt.f64 (fma.f64 (pow.f64 x 6) 1/27 8)))
(.f64 (.f64 x (sqrt.f64 (fma.f64 x (.f64 x 1/3) 2))) (/.f64 (sqrt.f64 (fma.f64 (pow.f64 x 6) 1/27 8)) (sqrt.f64 (fma.f64 x (.f64 x -2/3) (fma.f64 (pow.f64 x 4) 1/9 4)))))
(/.f64 (/.f64 (.f64 x (+.f64 (.f64 (pow.f64 x 4) 1/9) -4)) 1) (fma.f64 1/3 (*.f64 x x) -2))
(/.f64 (.f64 x (fma.f64 (pow.f64 x 4) 1/9 -4)) (fma.f64 1/3 (.f64 x x) -2))
(.f64 x (/.f64 (fma.f64 (pow.f64 x 4) 1/9 -4) (fma.f64 1/3 (.f64 x x) -2)))
(/.f64 (fma.f64 1/9 (pow.f64 x 5) (.f64 x -4)) (fma.f64 x (.f64 x 1/3) -2))
(/.f64 (/.f64 (.f64 x (+.f64 (.f64 (pow.f64 x 4) 1/9) -4)) (sqrt.f64 (fma.f64 1/3 (.f64 x x) -2))) (sqrt.f64 (fma.f64 1/3 (.f64 x x) -2)))
(/.f64 (.f64 x (fma.f64 (pow.f64 x 4) 1/9 -4)) (fma.f64 1/3 (.f64 x x) -2))
(.f64 x (/.f64 (fma.f64 (pow.f64 x 4) 1/9 -4) (fma.f64 1/3 (.f64 x x) -2)))
(/.f64 (fma.f64 1/9 (pow.f64 x 5) (.f64 x -4)) (fma.f64 x (.f64 x 1/3) -2))
(/.f64 (/.f64 (.f64 x (+.f64 (.f64 (pow.f64 x 4) 1/9) -4)) (.f64 (cbrt.f64 (fma.f64 1/3 (.f64 x x) -2)) (cbrt.f64 (fma.f64 1/3 (.f64 x x) -2)))) (cbrt.f64 (fma.f64 1/3 (.f64 x x) -2)))
(/.f64 (.f64 x (fma.f64 (pow.f64 x 4) 1/9 -4)) (fma.f64 1/3 (.f64 x x) -2))
(.f64 x (/.f64 (fma.f64 (pow.f64 x 4) 1/9 -4) (fma.f64 1/3 (.f64 x x) -2)))
(/.f64 (fma.f64 1/9 (pow.f64 x 5) (.f64 x -4)) (fma.f64 x (.f64 x 1/3) -2))
(/.f64 (/.f64 (.f64 x (+.f64 8 (.f64 (pow.f64 x 6) 1/27))) 1) (+.f64 (.f64 (pow.f64 x 4) 1/9) (+.f64 4 (.f64 (*.f64 x x) -2/3))))
(/.f64 (.f64 x (+.f64 8 (.f64 (pow.f64 x 6) 1/27))) (fma.f64 (pow.f64 x 4) 1/9 (+.f64 4 (.f64 x (.f64 x -2/3)))))
(.f64 (/.f64 x (fma.f64 (pow.f64 x 4) 1/9 (fma.f64 x (.f64 x -2/3) 4))) (fma.f64 (pow.f64 x 6) 1/27 8))
(/.f64 (fma.f64 1/27 (pow.f64 x 7) (.f64 x 8)) (fma.f64 x (.f64 x -2/3) (fma.f64 (pow.f64 x 4) 1/9 4)))
(/.f64 (/.f64 (.f64 x (+.f64 8 (.f64 (pow.f64 x 6) 1/27))) (sqrt.f64 (+.f64 (.f64 (pow.f64 x 4) 1/9) (+.f64 4 (.f64 (.f64 x x) -2/3))))) (sqrt.f64 (+.f64 (.f64 (pow.f64 x 4) 1/9) (+.f64 4 (.f64 (.f64 x x) -2/3)))))
(/.f64 (.f64 x (+.f64 8 (.f64 (pow.f64 x 6) 1/27))) (fma.f64 (pow.f64 x 4) 1/9 (+.f64 4 (.f64 x (.f64 x -2/3)))))
(.f64 (/.f64 x (fma.f64 (pow.f64 x 4) 1/9 (fma.f64 x (.f64 x -2/3) 4))) (fma.f64 (pow.f64 x 6) 1/27 8))
(/.f64 (fma.f64 1/27 (pow.f64 x 7) (.f64 x 8)) (fma.f64 x (.f64 x -2/3) (fma.f64 (pow.f64 x 4) 1/9 4)))
(/.f64 (/.f64 (.f64 x (+.f64 8 (.f64 (pow.f64 x 6) 1/27))) (.f64 (cbrt.f64 (+.f64 (.f64 (pow.f64 x 4) 1/9) (+.f64 4 (.f64 (.f64 x x) -2/3)))) (cbrt.f64 (+.f64 (.f64 (pow.f64 x 4) 1/9) (+.f64 4 (.f64 (.f64 x x) -2/3)))))) (cbrt.f64 (+.f64 (.f64 (pow.f64 x 4) 1/9) (+.f64 4 (.f64 (.f64 x x) -2/3)))))
(/.f64 (.f64 x (+.f64 8 (.f64 (pow.f64 x 6) 1/27))) (fma.f64 (pow.f64 x 4) 1/9 (+.f64 4 (.f64 x (.f64 x -2/3)))))
(.f64 (/.f64 x (fma.f64 (pow.f64 x 4) 1/9 (fma.f64 x (.f64 x -2/3) 4))) (fma.f64 (pow.f64 x 6) 1/27 8))
(/.f64 (fma.f64 1/27 (pow.f64 x 7) (.f64 x 8)) (fma.f64 x (.f64 x -2/3) (fma.f64 (pow.f64 x 4) 1/9 4)))
(/.f64 (-.f64 (.f64 (.f64 x x) 4) (.f64 (pow.f64 x 6) 1/9)) (-.f64 (.f64 x 2) (*.f64 1/3 (pow.f64 x 3))))
(/.f64 (-.f64 (.f64 x (.f64 x 4)) (.f64 1/9 (pow.f64 x 6))) (+.f64 (.f64 2 x) (*.f64 -1/3 (pow.f64 x 3))))
(/.f64 (fma.f64 x (.f64 x 4) (.f64 (pow.f64 x 6) -1/9)) (fma.f64 2 x (*.f64 (pow.f64 x 3) -1/3)))
(/.f64 (fma.f64 x (.f64 x 4) (.f64 (pow.f64 x 6) -1/9)) (.f64 x (fma.f64 x (.f64 x -1/3) 2)))
(/.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (.f64 x (fma.f64 1/3 (.f64 x x) 2)))) (exp.f64 (log1p.f64 (.f64 x (fma.f64 1/3 (.f64 x x) 2))))) 1) (+.f64 (exp.f64 (log1p.f64 (.f64 x (fma.f64 1/3 (*.f64 x x) 2)))) 1))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 2 x))
(.f64 x (fma.f64 x (.f64 x 1/3) 2))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (.f64 x (fma.f64 1/3 (.f64 x x) 2)))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (.f64 x (fma.f64 1/3 (.f64 x x) 2)))) (exp.f64 (log1p.f64 (.f64 x (fma.f64 1/3 (.f64 x x) 2))))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (.f64 x (fma.f64 1/3 (.f64 x x) 2)))) 1))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (log1p.f64 (.f64 x (fma.f64 1/3 (.f64 x x) 2)))) 3) -1) (+.f64 (exp.f64 (+.f64 (log1p.f64 (.f64 x (fma.f64 1/3 (.f64 x x) 2))) (log1p.f64 (.f64 x (fma.f64 1/3 (.f64 x x) 2))))) (+.f64 (exp.f64 (log1p.f64 (.f64 x (fma.f64 1/3 (.f64 x x) 2)))) 1)))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (log1p.f64 (fma.f64 1/3 (pow.f64 x 3) (.f64 2 x)))) 3)) (+.f64 (exp.f64 (log1p.f64 (fma.f64 1/3 (pow.f64 x 3) (.f64 2 x)))) (+.f64 1 (exp.f64 (.f64 2 (log1p.f64 (fma.f64 1/3 (pow.f64 x 3) (.f64 2 x))))))))
(/.f64 (expm1.f64 (.f64 3 (log1p.f64 (.f64 x (fma.f64 x (.f64 x 1/3) 2))))) (+.f64 1 (+.f64 (exp.f64 (log1p.f64 (.f64 x (fma.f64 x (.f64 x 1/3) 2)))) (pow.f64 (exp.f64 2) (log1p.f64 (.f64 x (fma.f64 x (*.f64 x 1/3) 2)))))))
(pow.f64 (.f64 x (fma.f64 1/3 (.f64 x x) 2)) 1)
(fma.f64 1/3 (pow.f64 x 3) (*.f64 2 x))
(.f64 x (fma.f64 x (.f64 x 1/3) 2))
(pow.f64 (sqrt.f64 (.f64 x (fma.f64 1/3 (.f64 x x) 2))) 2)
(fma.f64 1/3 (pow.f64 x 3) (*.f64 2 x))
(.f64 x (fma.f64 x (.f64 x 1/3) 2))
(pow.f64 (cbrt.f64 (.f64 x (fma.f64 1/3 (.f64 x x) 2))) 3)
(fma.f64 1/3 (pow.f64 x 3) (*.f64 2 x))
(.f64 x (fma.f64 x (.f64 x 1/3) 2))
(pow.f64 (pow.f64 (.f64 x (fma.f64 1/3 (.f64 x x) 2)) 3) 1/3)
(fma.f64 1/3 (pow.f64 x 3) (*.f64 2 x))
(.f64 x (fma.f64 x (.f64 x 1/3) 2))
(sqrt.f64 (pow.f64 (.f64 x (fma.f64 1/3 (.f64 x x) 2)) 2))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 2 x))
(.f64 x (fma.f64 x (.f64 x 1/3) 2))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 1/3 (*.f64 x x) 2)))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 2 x))
(.f64 x (fma.f64 x (.f64 x 1/3) 2))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (fma.f64 1/3 (.f64 x x) 2)))))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 2 x))
(.f64 x (fma.f64 x (.f64 x 1/3) 2))
(cbrt.f64 (pow.f64 (.f64 x (fma.f64 1/3 (.f64 x x) 2)) 3))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 2 x))
(.f64 x (fma.f64 x (.f64 x 1/3) 2))
(cbrt.f64 (.f64 (pow.f64 (fma.f64 1/3 (.f64 x x) 2) 3) (pow.f64 x 3)))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 2 x))
(.f64 x (fma.f64 x (.f64 x 1/3) 2))
(expm1.f64 (log1p.f64 (.f64 x (fma.f64 1/3 (.f64 x x) 2))))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 2 x))
(.f64 x (fma.f64 x (.f64 x 1/3) 2))
(exp.f64 (log.f64 (.f64 x (fma.f64 1/3 (.f64 x x) 2))))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 2 x))
(.f64 x (fma.f64 x (.f64 x 1/3) 2))
(log1p.f64 (expm1.f64 (.f64 x (fma.f64 1/3 (.f64 x x) 2))))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 2 x))
(.f64 x (fma.f64 x (.f64 x 1/3) 2))
(fma.f64 x (.f64 1/3 (.f64 x x)) (*.f64 x 2))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 2 x))
(.f64 x (fma.f64 x (.f64 x 1/3) 2))
(fma.f64 (.f64 1/3 (.f64 x x)) x (*.f64 x 2))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 2 x))
(.f64 x (fma.f64 x (.f64 x 1/3) 2))

localize18.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (.f64 x 1/3) (*.f64 x x))
	0.4b	(*.f64 x 1/3)

Compiler

Compiled 44 to 25 computations (43.2% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite56.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1300×	`add-sqr-sqrt`
1282×	`*-un-lft-identity`
1194×	`add-cube-cbrt`
1178×	`add-cbrt-cube`
1166×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	19
1	144	13
2	1729	13

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

Outputs

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

simplify57.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1126×	`log-prod`
832×	`distribute-rgt-in`
808×	`distribute-lft-in`
806×	`associate-+r+`
776×	`associate-+l+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	299
1	83	299
2	313	299
3	1972	299
4	7660	299

Stop Event

1×	node limit

Counts

23 → 12

Calls

Call 1

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

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

eval91.0ms (1.6%)

Compiler: Compiled 3418 to 2559 computations (25.1% saved)

prune29.0ms (0.5%)

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	183	0	183
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	183	5	188

Error

Counts

188 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.5b	(/.f64 (+.f64 (.f64 (.f64 x 1/3) (.f64 x x)) (.f64 x 2)) 2)
✓	0.8b	(/.f64 (+.f64 x x) 2)
✓	0.5b	(/.f64 (.f64 x (+.f64 (.f64 1/3 (*.f64 x x)) 2)) 2)
✓	0.0b	(/.f64 (*.f64 2 (sinh.f64 x)) 2)
✓	60.2b	(.f64 (.f64 1/3 x) (.f64 (.f64 x x) 1/2))

Compiler

Compiled 49 to 36 computations (26.5% saved)

regimes16.0ms (0.3%)

Counts

12 → 1

Calls

Call 1

Inputs
(/.f64 (+.f64 x x) 2)
(.f64 (.f64 1/3 x) (.f64 (.f64 x x) 1/2))
(/.f64 (.f64 x (.f64 1/3 (*.f64 x x))) 2)
(/.f64 (.f64 x (+.f64 (.f64 1/3 (*.f64 x x)) 2)) 2)
(/.f64 (.f64 x (+.f64 (.f64 x (*.f64 x 1/3)) 2)) 2)
(/.f64 (+.f64 (.f64 (.f64 x 1/3) (.f64 x x)) (.f64 x 2)) 2)
(/.f64 (+.f64 (.f64 (.f64 x (.f64 x 1/3)) x) (.f64 2 x)) 2)
(/.f64 (.f64 x (/.f64 (-.f64 (.f64 (.f64 x (.f64 x 1/3)) (.f64 x (.f64 x 1/3))) 4) (-.f64 (.f64 x (.f64 x 1/3)) 2))) 2)
(/.f64 (*.f64 2 (sinh.f64 x)) 2)
(/.f64 (.f64 x (fma.f64 x (.f64 x 1/3) 2)) 2)
(/.f64 (+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3))) 2)
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)

Outputs
(/.f64 (*.f64 2 (sinh.f64 x)) 2)

Calls

3 calls:

6.0ms	x
4.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
2.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)`
0.0b	1	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 150 to 105 computations (30% saved)

regimes9.0ms (0.2%)

Counts

8 → 1

Calls

Call 1

Inputs
(/.f64 (+.f64 x x) 2)
(.f64 (.f64 1/3 x) (.f64 (.f64 x x) 1/2))
(/.f64 (.f64 x (.f64 1/3 (*.f64 x x))) 2)
(/.f64 (.f64 x (+.f64 (.f64 1/3 (*.f64 x x)) 2)) 2)
(/.f64 (.f64 x (+.f64 (.f64 x (*.f64 x 1/3)) 2)) 2)
(/.f64 (+.f64 (.f64 (.f64 x 1/3) (.f64 x x)) (.f64 x 2)) 2)
(/.f64 (+.f64 (.f64 (.f64 x (.f64 x 1/3)) x) (.f64 2 x)) 2)
(/.f64 (.f64 x (/.f64 (-.f64 (.f64 (.f64 x (.f64 x 1/3)) (.f64 x (.f64 x 1/3))) 4) (-.f64 (.f64 x (.f64 x 1/3)) 2))) 2)

Outputs
(/.f64 (+.f64 (.f64 (.f64 x 1/3) (.f64 x x)) (.f64 x 2)) 2)

Calls

1 calls:

5.0ms

Results

Error	Segments	Branch
0.5b	1	`x`

Compiler

Compiled 99 to 66 computations (33.3% saved)

regimes8.0ms (0.1%)

Counts

5 → 1

Calls

Call 1

Inputs
(/.f64 (+.f64 x x) 2)
(.f64 (.f64 1/3 x) (.f64 (.f64 x x) 1/2))
(/.f64 (.f64 x (.f64 1/3 (*.f64 x x))) 2)
(/.f64 (.f64 x (+.f64 (.f64 1/3 (*.f64 x x)) 2)) 2)
(/.f64 (.f64 x (+.f64 (.f64 x (*.f64 x 1/3)) 2)) 2)

Outputs
(/.f64 (.f64 x (+.f64 (.f64 1/3 (*.f64 x x)) 2)) 2)

Calls

1 calls:

6.0ms

Results

Error	Segments	Branch
0.5b	1	`x`

Compiler

Compiled 48 to 31 computations (35.4% saved)

regimes4.0ms (0.1%)

Accuracy

Total -59.4b remaining (-7691%)

Threshold costs -59.4b (-7691%)

Counts

3 → 1

Calls

Call 1

Inputs
(/.f64 (+.f64 x x) 2)
(.f64 (.f64 1/3 x) (.f64 (.f64 x x) 1/2))
(/.f64 (.f64 x (.f64 1/3 (*.f64 x x))) 2)

Outputs
(/.f64 (+.f64 x x) 2)

Calls

1 calls:

3.0ms

Results

Error	Segments	Branch
0.8b	1	`x`

Compiler

Compiled 26 to 16 computations (38.5% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

12×	`*-commutative`
4×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	98
1	29	98

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(/.f64 (*.f64 2 (sinh.f64 x)) 2)
(/.f64 (+.f64 (.f64 (.f64 x 1/3) (.f64 x x)) (.f64 x 2)) 2)
(/.f64 (.f64 x (+.f64 (.f64 1/3 (*.f64 x x)) 2)) 2)
(/.f64 (+.f64 x x) 2)

Outputs
(/.f64 (*.f64 2 (sinh.f64 x)) 2)
(/.f64 (+.f64 (.f64 (.f64 x 1/3) (.f64 x x)) (.f64 x 2)) 2)
(/.f64 (+.f64 (.f64 (.f64 x 1/3) (.f64 x x)) (.f64 2 x)) 2)
(/.f64 (.f64 x (+.f64 (.f64 1/3 (*.f64 x x)) 2)) 2)
(/.f64 (.f64 x (+.f64 2 (.f64 1/3 (*.f64 x x)))) 2)
(/.f64 (+.f64 x x) 2)

Compiler

Compiled 39 to 29 computations (25.6% saved)

soundness79.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

898×	`associate-*r/`
804×	`fma-def`
778×	`*-commutative`
712×	`associate-r`
658×	`associate-*l/`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	66	501
1	179	485
2	576	481
3	2145	353

Stop Event

1×	node limit

Compiler

Compiled 104 to 58 computations (44.2% saved)

end30.0ms (0.5%)

Compiler: Compiled 36 to 25 computations (30.6% saved)

Details

analyze4.0ms (0.1%)

sample2.9s (52.4%)

preprocess52.0ms (0.9%)

simplify59.0ms (1%)

eval1.0ms (0%)

prune1.0ms (0%)

localize8.0ms (0.1%)

series1.0ms (0%)

rewrite35.0ms (0.6%)

simplify62.0ms (1.1%)

eval9.0ms (0.2%)

prune10.0ms (0.2%)

localize6.0ms (0.1%)

series2.0ms (0%)

rewrite47.0ms (0.8%)

simplify54.0ms (1%)

localize17.0ms (0.3%)

series3.0ms (0.1%)

rewrite60.0ms (1.1%)

simplify69.0ms (1.2%)

localize4.0ms (0.1%)

localize22.0ms (0.4%)

series1.0ms (0%)

rewrite49.0ms (0.9%)

simplify56.0ms (1%)

eval53.0ms (0.9%)

prune46.0ms (0.8%)

localize9.0ms (0.2%)

series2.0ms (0%)

rewrite65.0ms (1.2%)

simplify80.0ms (1.4%)

localize14.0ms (0.2%)

series1.0ms (0%)

rewrite81.0ms (1.4%)

simplify96.0ms (1.7%)

localize42.0ms (0.7%)

series3.0ms (0.1%)

rewrite87.0ms (1.6%)

simplify78.0ms (1.4%)

localize63.0ms (1.1%)

series0.0ms (0%)

rewrite49.0ms (0.9%)

simplify54.0ms (1%)

eval269.0ms (4.8%)

prune118.0ms (2.1%)

localize8.0ms (0.1%)

series1.0ms (0%)

rewrite91.0ms (1.6%)

simplify102.0ms (1.8%)

localize16.0ms (0.3%)

series0.0ms (0%)

rewrite99.0ms (1.8%)

simplify115.0ms (2%)

localize18.0ms (0.3%)

series0.0ms (0%)

rewrite56.0ms (1%)

simplify57.0ms (1%)

eval91.0ms (1.6%)

prune29.0ms (0.5%)

regimes16.0ms (0.3%)

regimes9.0ms (0.2%)

regimes8.0ms (0.1%)

regimes4.0ms (0.1%)

simplify7.0ms (0.1%)

soundness79.0ms (1.4%)

end30.0ms (0.5%)

Profiling