Details

analyze78.0ms (1.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
37.5%	62.4%	0.1%	6
50%	46.8%	3.2%	7
56.2%	37.5%	6.3%	8
62.4%	25.8%	11.8%	9
65.6%	20.3%	14.1%	10
68.7%	13.5%	17.9%	11
70.2%	10.5%	19.2%	12

Compiler

Compiled 14 to 11 computations (21.4% saved)

sample1.0s (14%)

Results

925.0ms	8244×	body	64	valid
61.0ms	619×	body	64	invalid
2.0ms	12×	body	128	valid

preprocess46.0ms (0.6%)

Algorithm

2×	egg-herbie

Rules

620×	`fma-def_binary64`
612×	`fma-neg_binary64`
514×	`distribute-rgt-in_binary64`
498×	`div-sub_binary64`
475×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	32
1	41	32
2	133	32
3	395	32
4	1406	32
5	6328	32
0	2	2

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs
(/.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) (.f64 y 3))
(/.f64 (.f64 (-.f64 1 y) (-.f64 3 y)) (.f64 x 3))

Outputs
(/.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) (.f64 y 3))
(*.f64 (/.f64 (-.f64 1 x) y) (/.f64 (-.f64 3 x) 3))
(*.f64 (/.f64 (-.f64 1 x) y) (-.f64 1 (/.f64 x 3)))
(.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) (.f64 3 y)))
(*.f64 (-.f64 3 x) (/.f64 (-.f64 1/3 (/.f64 x 3)) y))
(.f64 (.f64 1/3 (/.f64 (-.f64 1 x) y)) (-.f64 3 x))
(/.f64 (.f64 (-.f64 1 y) (-.f64 3 y)) (.f64 x 3))
(*.f64 (/.f64 (-.f64 1 y) x) (/.f64 (-.f64 3 y) 3))
(*.f64 (/.f64 (-.f64 1 y) x) (-.f64 1 (/.f64 y 3)))
(/.f64 (-.f64 1 y) (*.f64 (/.f64 x (-.f64 3 y)) 3))
(.f64 (-.f64 1 y) (.f64 (-.f64 3 y) (/.f64 1/3 x)))

Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify40.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

638×	`unsub-neg_binary64`
351×	`sub-neg_binary64`
330×	`associate-/l*_binary64`
308×	`fma-def_binary64`
306×	`fma-neg_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	10	16
1	24	16
2	71	16
3	204	16
4	733	16
5	3250	14
6	7620	14

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

Inputs
(/.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) (.f64 y 3))

Outputs
(/.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) (.f64 y 3))
(*.f64 (/.f64 (-.f64 1 x) y) (/.f64 (-.f64 3 x) 3))
(/.f64 (*.f64 (-.f64 1 x) (-.f64 1 (/.f64 x 3))) y)
(.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) (.f64 3 y)))
(*.f64 (-.f64 1 x) (/.f64 (-.f64 1 (/.f64 x 3)) y))
(.f64 (-.f64 1 x) (.f64 (-.f64 3 x) (/.f64 1/3 y)))
(*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y))

prune3.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

6.4b

Counts

3 → 2

Alt Table

Status	Error	Program
	6.6b	(*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y))
▶	6.5b	(/.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) (.f64 y 3))

Compiler

Compiled 73 to 55 computations (24.7% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (-.f64 1 x) (-.f64 3 x))
✓	6.1b	(/.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) (.f64 y 3))

series7.0ms (0.1%)

Counts

2 → 36

Calls

9 calls:

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

rewrite69.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

627×	`log-prod_binary64`
365×	`pow-prod-down_binary64`
302×	`pow2_binary64`
230×	`prod-diff_binary64`
212×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	26
1	224	26
2	3284	26

Stop Event

1×	node limit

Counts

2 → 114

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (-.f64 3 x) (.f64 (-.f64 1 x) (/.f64 1/3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x)))))) 2)) (log.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x))))))) (log.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (-.f64 3 x) (.f64 (-.f64 1 x) (/.f64 1/3 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (.f64 3 (/.f64 y (-.f64 3 x)))) (/.f64 x (.f64 3 (/.f64 y (-.f64 3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 (-.f64 3 x) (.f64 (-.f64 1 x) (/.f64 1/3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 1 x) (/.f64 1 (.f64 3 (/.f64 y (-.f64 3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 1 x) (.f64 (-.f64 3 x) (/.f64 1/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 3 x) (.f64 (-.f64 1 x) (/.f64 1/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 1 x) (-.f64 3 x)) (/.f64 1/3 y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 3 x) (.f64 (-.f64 1 x) (/.f64 1/3 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (-.f64 3 x) (.f64 (-.f64 1 x) (/.f64 1/3 y)))) (pow.f64 (cbrt.f64 (.f64 (-.f64 3 x) (.f64 (-.f64 1 x) (/.f64 1/3 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 (-.f64 3 x) (.f64 (-.f64 1 x) (/.f64 1/3 y)))) 2) (cbrt.f64 (.f64 (-.f64 3 x) (.f64 (-.f64 1 x) (/.f64 1/3 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 (-.f64 1 x) (-.f64 3 x))) 2) (.f64 (cbrt.f64 (.f64 (-.f64 1 x) (-.f64 3 x))) (/.f64 1/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 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(#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (.f64 (-.f64 1 x) (-.f64 3 x))) 3) (/.f64 (sqrt.f64 (.f64 (-.f64 1 x) (-.f64 3 x))) y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 y) (/.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (-.f64 1 x) (-.f64 3 x))) 2) y) (/.f64 (cbrt.f64 (.f64 (-.f64 1 x) (-.f64 3 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 3 y)) -2) (/.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) (cbrt.f64 (.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 1 x) (cbrt.f64 (.f64 (.f64 y y) 9))) (/.f64 (-.f64 3 x) (cbrt.f64 (.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 3 x) (cbrt.f64 (.f64 (.f64 y y) 9))) (/.f64 (-.f64 1 x) (cbrt.f64 (.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (-.f64 1 x) (-.f64 3 x))) 2) (cbrt.f64 (.f64 (.f64 y y) 9))) (cbrt.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 3 x) (.f64 (neg.f64 x) (-.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 3 x) (.f64 (-.f64 3 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (-.f64 1 x) (-.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 3 (-.f64 1 x)) (.f64 (neg.f64 x) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (-.f64 1 x) 3) (.f64 (-.f64 1 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 x)) (-.f64 3 x))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 x)) (-.f64 3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 x)) (-.f64 3 x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 x)) (-.f64 3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (-.f64 1 x) (-.f64 3 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 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Outputs

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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 3 x) (*.f64 (neg.f64 x) (-.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 3 x) (*.f64 (-.f64 3 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 1 x) (-.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 3 (-.f64 1 x)) (*.f64 (neg.f64 x) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 1 x) 3) (*.f64 (-.f64 1 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 x)) (-.f64 3 x))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 x)) (-.f64 3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 x)) (-.f64 3 x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 x)) (-.f64 3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x 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(+.f64 x 3) 9) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 9 (*.f64 x x)) (-.f64 1 (*.f64 x x))) (*.f64 (+.f64 x 3) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 x 3)) (-.f64 3 x)) (+.f64 1 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 x x)) (-.f64 3 x)) (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 27 (pow.f64 x 3)) (-.f64 1 x)) (fma.f64 x (+.f64 x 3) 9))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 9 (*.f64 x x)) (-.f64 1 x)) (+.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 x) (-.f64 27 (pow.f64 x 3))) (fma.f64 x (+.f64 x 3) 9))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 x) (-.f64 9 (*.f64 x x))) (+.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 3 x) (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 3 x) (-.f64 1 (*.f64 x x))) (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 1 x) (-.f64 3 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (-.f64 1 x) (-.f64 3 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (-.f64 1 x)) (-.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 1 x) (-.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 3 x) (*.f64 (neg.f64 x) (-.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 3 x) (*.f64 (-.f64 3 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 x) 3 (*.f64 (-.f64 1 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 3 (-.f64 1 x) (*.f64 (neg.f64 x) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 3 x) 1 (*.f64 (neg.f64 x) (-.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 3 x) 1 (*.f64 (-.f64 3 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (-.f64 3 x)) (cbrt.f64 (pow.f64 (-.f64 3 x) 2)) (*.f64 (neg.f64 x) (-.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (-.f64 3 x)) (cbrt.f64 (pow.f64 (-.f64 3 x) 2)) (*.f64 (-.f64 3 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (-.f64 3 x) 2)) (cbrt.f64 (-.f64 3 x)) (*.f64 (neg.f64 x) (-.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (-.f64 3 x) 2)) (cbrt.f64 (-.f64 3 x)) (*.f64 (-.f64 3 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 3 x)) (sqrt.f64 (-.f64 3 x)) (*.f64 (neg.f64 x) (-.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 3 x)) (sqrt.f64 (-.f64 3 x)) (*.f64 (-.f64 3 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 27 (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 x 3) 9)) (*.f64 (neg.f64 x) (-.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 27 (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 x 3) 9)) (*.f64 (-.f64 3 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 9 (*.f64 x x)) (/.f64 1 (+.f64 x 3)) (*.f64 (neg.f64 x) (-.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 9 (*.f64 x x)) (/.f64 1 (+.f64 x 3)) (*.f64 (-.f64 3 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 1 x) (-.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (-.f64 1 x) (-.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 1 x) (-.f64 3 x))) 1))))))

simplify44.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

806×	`fma-def_binary64`
776×	`unsub-neg_binary64`
340×	`distribute-rgt-neg-out_binary64`
338×	`distribute-rgt-in_binary64`
329×	`distribute-neg-out_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	27	499
1	60	487
2	136	463
3	365	463
4	1226	419
5	4658	419

Stop Event

1×	node limit

Counts

150 → 134

Calls

Call 1

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

Outputs
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) y)) (.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (.f64 x x) y) (.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))))
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (*.f64 (/.f64 x y) x) (/.f64 1 y)))
(fma.f64 -4/3 (/.f64 x y) (fma.f64 (/.f64 1/3 y) (*.f64 x x) (/.f64 1 y)))
(+.f64 (/.f64 1 y) (.f64 (/.f64 x y) (+.f64 -4/3 (.f64 x 1/3))))
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) y)) (.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (.f64 x x) y) (.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))))
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (*.f64 (/.f64 x y) x) (/.f64 1 y)))
(fma.f64 -4/3 (/.f64 x y) (fma.f64 (/.f64 1/3 y) (*.f64 x x) (/.f64 1 y)))
(+.f64 (/.f64 1 y) (.f64 (/.f64 x y) (+.f64 -4/3 (.f64 x 1/3))))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(.f64 (/.f64 1/3 y) (.f64 x x))
(.f64 (/.f64 x y) (.f64 x 1/3))
(+.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) y)) (.f64 -4/3 (/.f64 x y)))
(fma.f64 1/3 (/.f64 (.f64 x x) y) (.f64 -4/3 (/.f64 x y)))
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x))))
(fma.f64 -4/3 (/.f64 x y) (.f64 (/.f64 1/3 y) (.f64 x x)))
(fma.f64 -4/3 (/.f64 x y) (.f64 (/.f64 x y) (.f64 x 1/3)))
(.f64 (/.f64 x y) (+.f64 -4/3 (.f64 x 1/3)))
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) y)) (.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (.f64 x x) y) (.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))))
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (*.f64 (/.f64 x y) x) (/.f64 1 y)))
(fma.f64 -4/3 (/.f64 x y) (fma.f64 (/.f64 1/3 y) (*.f64 x x) (/.f64 1 y)))
(+.f64 (/.f64 1 y) (.f64 (/.f64 x y) (+.f64 -4/3 (.f64 x 1/3))))
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) y)) (.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (.f64 x x) y) (.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))))
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (*.f64 (/.f64 x y) x) (/.f64 1 y)))
(fma.f64 -4/3 (/.f64 x y) (fma.f64 (/.f64 1/3 y) (*.f64 x x) (/.f64 1 y)))
(+.f64 (/.f64 1 y) (.f64 (/.f64 x y) (+.f64 -4/3 (.f64 x 1/3))))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(.f64 (/.f64 1/3 y) (.f64 x x))
(.f64 (/.f64 x y) (.f64 x 1/3))
(+.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) y)) (.f64 -4/3 (/.f64 x y)))
(fma.f64 1/3 (/.f64 (.f64 x x) y) (.f64 -4/3 (/.f64 x y)))
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x))))
(fma.f64 -4/3 (/.f64 x y) (.f64 (/.f64 1/3 y) (.f64 x x)))
(fma.f64 -4/3 (/.f64 x y) (.f64 (/.f64 x y) (.f64 x 1/3)))
(.f64 (/.f64 x y) (+.f64 -4/3 (.f64 x 1/3)))
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) y)) (.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (.f64 x x) y) (.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))))
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (*.f64 (/.f64 x y) x) (/.f64 1 y)))
(fma.f64 -4/3 (/.f64 x y) (fma.f64 (/.f64 1/3 y) (*.f64 x x) (/.f64 1 y)))
(+.f64 (/.f64 1 y) (.f64 (/.f64 x y) (+.f64 -4/3 (.f64 x 1/3))))
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) y)) (.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (.f64 x x) y) (.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))))
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (*.f64 (/.f64 x y) x) (/.f64 1 y)))
(fma.f64 -4/3 (/.f64 x y) (fma.f64 (/.f64 1/3 y) (*.f64 x x) (/.f64 1 y)))
(+.f64 (/.f64 1 y) (.f64 (/.f64 x y) (+.f64 -4/3 (.f64 x 1/3))))
(.f64 1/3 (/.f64 (.f64 (-.f64 3 x) (-.f64 1 x)) y))
(*.f64 1/3 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x))))
(/.f64 (*.f64 1/3 (-.f64 3 x)) (/.f64 y (-.f64 1 x)))
(.f64 (/.f64 (-.f64 3 x) y) (.f64 1/3 (-.f64 1 x)))
(/.f64 (-.f64 1 x) (/.f64 (/.f64 y 1/3) (-.f64 3 x)))
(*.f64 (-.f64 1 x) (/.f64 (fma.f64 x -1/3 1) y))
(.f64 1/3 (/.f64 (.f64 (-.f64 3 x) (-.f64 1 x)) y))
(*.f64 1/3 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x))))
(/.f64 (*.f64 1/3 (-.f64 3 x)) (/.f64 y (-.f64 1 x)))
(.f64 (/.f64 (-.f64 3 x) y) (.f64 1/3 (-.f64 1 x)))
(/.f64 (-.f64 1 x) (/.f64 (/.f64 y 1/3) (-.f64 3 x)))
(*.f64 (-.f64 1 x) (/.f64 (fma.f64 x -1/3 1) y))
(.f64 1/3 (/.f64 (.f64 (-.f64 3 x) (-.f64 1 x)) y))
(*.f64 1/3 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x))))
(/.f64 (*.f64 1/3 (-.f64 3 x)) (/.f64 y (-.f64 1 x)))
(.f64 (/.f64 (-.f64 3 x) y) (.f64 1/3 (-.f64 1 x)))
(/.f64 (-.f64 1 x) (/.f64 (/.f64 y 1/3) (-.f64 3 x)))
(*.f64 (-.f64 1 x) (/.f64 (fma.f64 x -1/3 1) y))
(.f64 1/3 (/.f64 (.f64 (-.f64 3 x) (-.f64 1 x)) y))
(*.f64 1/3 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x))))
(/.f64 (*.f64 1/3 (-.f64 3 x)) (/.f64 y (-.f64 1 x)))
(.f64 (/.f64 (-.f64 3 x) y) (.f64 1/3 (-.f64 1 x)))
(/.f64 (-.f64 1 x) (/.f64 (/.f64 y 1/3) (-.f64 3 x)))
(*.f64 (-.f64 1 x) (/.f64 (fma.f64 x -1/3 1) y))
(.f64 1/3 (/.f64 (.f64 (-.f64 3 x) (-.f64 1 x)) y))
(*.f64 1/3 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x))))
(/.f64 (*.f64 1/3 (-.f64 3 x)) (/.f64 y (-.f64 1 x)))
(.f64 (/.f64 (-.f64 3 x) y) (.f64 1/3 (-.f64 1 x)))
(/.f64 (-.f64 1 x) (/.f64 (/.f64 y 1/3) (-.f64 3 x)))
(*.f64 (-.f64 1 x) (/.f64 (fma.f64 x -1/3 1) y))
(.f64 1/3 (/.f64 (.f64 (-.f64 3 x) (-.f64 1 x)) y))
(*.f64 1/3 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x))))
(/.f64 (*.f64 1/3 (-.f64 3 x)) (/.f64 y (-.f64 1 x)))
(.f64 (/.f64 (-.f64 3 x) y) (.f64 1/3 (-.f64 1 x)))
(/.f64 (-.f64 1 x) (/.f64 (/.f64 y 1/3) (-.f64 3 x)))
(*.f64 (-.f64 1 x) (/.f64 (fma.f64 x -1/3 1) y))
(.f64 1/3 (/.f64 (.f64 (-.f64 3 x) (-.f64 1 x)) y))
(*.f64 1/3 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x))))
(/.f64 (*.f64 1/3 (-.f64 3 x)) (/.f64 y (-.f64 1 x)))
(.f64 (/.f64 (-.f64 3 x) y) (.f64 1/3 (-.f64 1 x)))
(/.f64 (-.f64 1 x) (/.f64 (/.f64 y 1/3) (-.f64 3 x)))
(*.f64 (-.f64 1 x) (/.f64 (fma.f64 x -1/3 1) y))
(.f64 1/3 (/.f64 (.f64 (-.f64 3 x) (-.f64 1 x)) y))
(*.f64 1/3 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x))))
(/.f64 (*.f64 1/3 (-.f64 3 x)) (/.f64 y (-.f64 1 x)))
(.f64 (/.f64 (-.f64 3 x) y) (.f64 1/3 (-.f64 1 x)))
(/.f64 (-.f64 1 x) (/.f64 (/.f64 y 1/3) (-.f64 3 x)))
(*.f64 (-.f64 1 x) (/.f64 (fma.f64 x -1/3 1) y))
(.f64 1/3 (/.f64 (.f64 (-.f64 3 x) (-.f64 1 x)) y))
(*.f64 1/3 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x))))
(/.f64 (*.f64 1/3 (-.f64 3 x)) (/.f64 y (-.f64 1 x)))
(.f64 (/.f64 (-.f64 3 x) y) (.f64 1/3 (-.f64 1 x)))
(/.f64 (-.f64 1 x) (/.f64 (/.f64 y 1/3) (-.f64 3 x)))
(*.f64 (-.f64 1 x) (/.f64 (fma.f64 x -1/3 1) y))
(.f64 1/3 (/.f64 (.f64 (-.f64 3 x) (-.f64 1 x)) y))
(*.f64 1/3 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x))))
(/.f64 (*.f64 1/3 (-.f64 3 x)) (/.f64 y (-.f64 1 x)))
(.f64 (/.f64 (-.f64 3 x) y) (.f64 1/3 (-.f64 1 x)))
(/.f64 (-.f64 1 x) (/.f64 (/.f64 y 1/3) (-.f64 3 x)))
(*.f64 (-.f64 1 x) (/.f64 (fma.f64 x -1/3 1) y))
(.f64 1/3 (/.f64 (.f64 (-.f64 3 x) (-.f64 1 x)) y))
(*.f64 1/3 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x))))
(/.f64 (*.f64 1/3 (-.f64 3 x)) (/.f64 y (-.f64 1 x)))
(.f64 (/.f64 (-.f64 3 x) y) (.f64 1/3 (-.f64 1 x)))
(/.f64 (-.f64 1 x) (/.f64 (/.f64 y 1/3) (-.f64 3 x)))
(*.f64 (-.f64 1 x) (/.f64 (fma.f64 x -1/3 1) y))
(.f64 1/3 (/.f64 (.f64 (-.f64 3 x) (-.f64 1 x)) y))
(*.f64 1/3 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x))))
(/.f64 (*.f64 1/3 (-.f64 3 x)) (/.f64 y (-.f64 1 x)))
(.f64 (/.f64 (-.f64 3 x) y) (.f64 1/3 (-.f64 1 x)))
(/.f64 (-.f64 1 x) (/.f64 (/.f64 y 1/3) (-.f64 3 x)))
(*.f64 (-.f64 1 x) (/.f64 (fma.f64 x -1/3 1) y))
3
(+.f64 3 (*.f64 -4 x))
(+.f64 3 (*.f64 x -4))
(fma.f64 x -4 3)
(+.f64 3 (+.f64 (*.f64 -4 x) (pow.f64 x 2)))
(+.f64 3 (fma.f64 -4 x (*.f64 x x)))
(+.f64 3 (*.f64 x (+.f64 x -4)))
(fma.f64 x (+.f64 x -4) 3)
(+.f64 3 (+.f64 (*.f64 -4 x) (pow.f64 x 2)))
(+.f64 3 (fma.f64 -4 x (*.f64 x x)))
(+.f64 3 (*.f64 x (+.f64 x -4)))
(fma.f64 x (+.f64 x -4) 3)
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 -4 x) (pow.f64 x 2))
(fma.f64 -4 x (*.f64 x x))
(*.f64 x (+.f64 x -4))
(+.f64 3 (+.f64 (*.f64 -4 x) (pow.f64 x 2)))
(+.f64 3 (fma.f64 -4 x (*.f64 x x)))
(+.f64 3 (*.f64 x (+.f64 x -4)))
(fma.f64 x (+.f64 x -4) 3)
(+.f64 3 (+.f64 (*.f64 -4 x) (pow.f64 x 2)))
(+.f64 3 (fma.f64 -4 x (*.f64 x x)))
(+.f64 3 (*.f64 x (+.f64 x -4)))
(fma.f64 x (+.f64 x -4) 3)
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 -4 x) (pow.f64 x 2))
(fma.f64 -4 x (*.f64 x x))
(*.f64 x (+.f64 x -4))
(+.f64 3 (+.f64 (*.f64 -4 x) (pow.f64 x 2)))
(+.f64 3 (fma.f64 -4 x (*.f64 x x)))
(+.f64 3 (*.f64 x (+.f64 x -4)))
(fma.f64 x (+.f64 x -4) 3)
(+.f64 3 (+.f64 (*.f64 -4 x) (pow.f64 x 2)))
(+.f64 3 (fma.f64 -4 x (*.f64 x x)))
(+.f64 3 (*.f64 x (+.f64 x -4)))
(fma.f64 x (+.f64 x -4) 3)

prune282.0ms (3.9%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	129	5	134
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	131	5	136

Error

0.0b

Counts

136 → 5

Alt Table

Status	Error	Program
▶	0.2b	(*.f64 (-.f64 1 x) (/.f64 (fma.f64 x -1/3 1) y))
	0.2b	(-.f64 (/.f64 1 (.f64 3 (/.f64 y (-.f64 3 x)))) (/.f64 x (.f64 3 (/.f64 y (-.f64 3 x)))))
	0.2b	(.f64 (.f64 (-.f64 3 x) 1/3) (/.f64 (-.f64 1 x) y))
	0.3b	(*.f64 (/.f64 (-.f64 1 x) 3) (/.f64 (-.f64 3 x) y))
	6.5b	(/.f64 (fma.f64 x (+.f64 x -4) 3) (*.f64 y 3))

Compiler

Compiled 2334 to 1711 computations (26.7% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (fma.f64 x -1/3 1) y)
✓	0.1b	(*.f64 (-.f64 1 x) (/.f64 (fma.f64 x -1/3 1) y))
✓	0.1b	(fma.f64 x -1/3 1)

series10.0ms (0.1%)

Counts

3 → 60

Calls

15 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(/.f64 (fma.f64 x -1/3 1) y)
1.0ms	y	@	0	(*.f64 (-.f64 1 x) (/.f64 (fma.f64 x -1/3 1) y))
1.0ms	y	@	inf	(*.f64 (-.f64 1 x) (/.f64 (fma.f64 x -1/3 1) y))
1.0ms	y	@	-inf	(*.f64 (-.f64 1 x) (/.f64 (fma.f64 x -1/3 1) y))
0.0ms	x	@	0	(/.f64 (fma.f64 x -1/3 1) y)

rewrite66.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

627×	`unpow-prod-down_binary64`
455×	`log-prod_binary64`
295×	`pow-prod-down_binary64`
251×	`pow2_binary64`
176×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	27
1	192	27
2	2525	27

Stop Event

1×	node limit

Counts

3 → 189

Calls

Call 1

Inputs
(fma.f64 x -1/3 1)
(*.f64 (-.f64 1 x) (/.f64 (fma.f64 x -1/3 1) y))
(/.f64 (fma.f64 x -1/3 1) y)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (.f64 x -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 x -1/3 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x -1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 x -1/3) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x -1/3 1))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x -1/3 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x -1/3 1)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x -1/3 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x -1/3 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 x -1/3 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 x -1/3 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 x -1/3 1)) (pow.f64 (cbrt.f64 (fma.f64 x -1/3 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/3 1)) 2) (cbrt.f64 (fma.f64 x -1/3 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 x -1/3 1)) (sqrt.f64 (fma.f64 x -1/3 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/3) (fma.f64 x -1/3 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x -1/3 1) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x -1/3 1) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (.f64 (fma.f64 x -1/3 1) (cbrt.f64 (fma.f64 x -1/3 1))) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 x -1/3 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (fma.f64 x -1/3 1) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (fma.f64 x -1/3 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x -1/3 1))) 2) 3) (cbrt.f64 (fma.f64 x -1/3 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x -1/3 1))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x -1/3 1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 -1/27 (pow.f64 x 3)) 1) (+.f64 (pow.f64 (.f64 x -1/3) 2) (-.f64 1 (.f64 (.f64 x -1/3) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (.f64 x -1/3) 2) 1) (fma.f64 x -1/3 -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x -1/3 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x -1/3 1) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x -1/3 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x -1/3 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x -1/3 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x -1/3 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x -1/3 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x -1/3 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x -1/3 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x -1/3 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x -1/3 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log1p.f64 (.f64 x -1/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log1p.f64 (.f64 x -1/3))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 1/3 (log1p.f64 (.f64 x -1/3))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 1/2 (log1p.f64 (.f64 x -1/3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log1p.f64 (.f64 x -1/3)) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (fma.f64 x -1/3 1) y) (.f64 (neg.f64 x) (/.f64 (fma.f64 x -1/3 1) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (fma.f64 x -1/3 1) y) (.f64 (/.f64 (fma.f64 x -1/3 1) y) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 1 x) (/.f64 y (fma.f64 x -1/3 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 x)) (/.f64 (fma.f64 x -1/3 1) y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 x)) (/.f64 (fma.f64 x -1/3 1) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 x)) (/.f64 (fma.f64 x -1/3 1) y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 x)) (/.f64 (fma.f64 x -1/3 1) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 1 x) (/.f64 y (fma.f64 x -1/3 1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (.f64 (fma.f64 x -1/3 1) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 x) (/.f64 y (fma.f64 x -1/3 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 x 3)) (.f64 (/.f64 y (fma.f64 x -1/3 1)) (+.f64 1 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (.f64 x x)) (.f64 (/.f64 y (fma.f64 x -1/3 1)) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (fma.f64 x -1/3 1) (-.f64 1 x)) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 (fma.f64 x -1/3 1) (-.f64 1 x))) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1 (pow.f64 x 3)) 1) (.f64 (+.f64 1 (fma.f64 x x x)) (/.f64 y (fma.f64 x -1/3 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1 (.f64 x x)) 1) (.f64 (+.f64 x 1) (/.f64 y (fma.f64 x -1/3 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1 (pow.f64 x 3)) (fma.f64 x -1/3 1)) (.f64 (+.f64 1 (fma.f64 x x x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1 (.f64 x x)) (fma.f64 x -1/3 1)) (.f64 (+.f64 x 1) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1 (pow.f64 x 3)) (neg.f64 (fma.f64 x -1/3 1))) (.f64 (+.f64 1 (fma.f64 x x x)) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1 (.f64 x x)) (neg.f64 (fma.f64 x -1/3 1))) (.f64 (+.f64 x 1) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (fma.f64 x -1/3 1) (-.f64 1 (pow.f64 x 3))) (.f64 y (+.f64 1 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (neg.f64 (fma.f64 x -1/3 1)) (-.f64 1 (pow.f64 x 3))) (.f64 (neg.f64 y) (+.f64 1 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (fma.f64 x -1/3 1) (-.f64 1 (.f64 x x))) (.f64 y (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (neg.f64 (fma.f64 x -1/3 1)) (-.f64 1 (.f64 x x))) (.f64 (neg.f64 y) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 (fma.f64 x -1/3 1) (-.f64 1 x)) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 (fma.f64 x -1/3 1) (-.f64 1 x)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 (fma.f64 x -1/3 1) (-.f64 1 x)) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1 (pow.f64 x 3)) (/.f64 (fma.f64 x -1/3 1) y)) (+.f64 1 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1 (.f64 x x)) (/.f64 (fma.f64 x -1/3 1) y)) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (neg.f64 (fma.f64 x -1/3 1)) (-.f64 1 x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1 x) (neg.f64 (fma.f64 x -1/3 1))) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 (fma.f64 x -1/3 1) y) (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 (fma.f64 x -1/3 1) y) (-.f64 1 (.f64 x 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Outputs

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

simplify70.0ms (1%)

Algorithm

1×	egg-herbie

Rules

499×	`fma-def_binary64`
434×	`cancel-sign-sub-inv_binary64`
429×	`associate-/r*_binary64`
379×	`associate-l_binary64`
364×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	26	806
1	54	786
2	107	750
3	243	750
4	749	706
5	3230	643
6	7824	553

Stop Event

1×	node limit

Counts

249 → 209

Calls

Call 1

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

Outputs
1
(+.f64 1 (*.f64 -1/3 x))
(fma.f64 -1/3 x 1)
(+.f64 1 (*.f64 -1/3 x))
(fma.f64 -1/3 x 1)
(+.f64 1 (*.f64 -1/3 x))
(fma.f64 -1/3 x 1)
(*.f64 -1/3 x)
(+.f64 1 (*.f64 -1/3 x))
(fma.f64 -1/3 x 1)
(+.f64 1 (*.f64 -1/3 x))
(fma.f64 -1/3 x 1)
(+.f64 1 (*.f64 -1/3 x))
(fma.f64 -1/3 x 1)
(*.f64 -1/3 x)
(+.f64 1 (*.f64 -1/3 x))
(fma.f64 -1/3 x 1)
(+.f64 1 (*.f64 -1/3 x))
(fma.f64 -1/3 x 1)
(+.f64 1 (*.f64 -1/3 x))
(fma.f64 -1/3 x 1)
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
(+.f64 (/.f64 1 y) (/.f64 (*.f64 -4/3 x) y))
(fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))
(fma.f64 x (/.f64 -4/3 y) (/.f64 1 y))
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) y)) (.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (.f64 x x) y) (/.f64 (.f64 -4/3 x) y)))
(+.f64 (/.f64 1 y) (fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))))
(fma.f64 1/3 (/.f64 x (/.f64 y x)) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)))
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (/.f64 x (/.f64 y x)) (/.f64 1 y)))
(+.f64 (/.f64 1 y) (.f64 (/.f64 x y) (+.f64 -4/3 (.f64 x 1/3))))
(*.f64 (fma.f64 -1/3 x 1) (/.f64 (-.f64 1 x) y))
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) y)) (.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (.f64 x x) y) (/.f64 (.f64 -4/3 x) y)))
(+.f64 (/.f64 1 y) (fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))))
(fma.f64 1/3 (/.f64 x (/.f64 y x)) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)))
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (/.f64 x (/.f64 y x)) (/.f64 1 y)))
(+.f64 (/.f64 1 y) (.f64 (/.f64 x y) (+.f64 -4/3 (.f64 x 1/3))))
(*.f64 (fma.f64 -1/3 x 1) (/.f64 (-.f64 1 x) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(/.f64 (.f64 1/3 (.f64 x x)) y)
(.f64 x (.f64 x (/.f64 1/3 y)))
(+.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) y)) (.f64 -4/3 (/.f64 x y)))
(fma.f64 1/3 (/.f64 (.f64 x x) y) (/.f64 (.f64 -4/3 x) y))
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x))))
(.f64 (/.f64 x y) (+.f64 -4/3 (.f64 x 1/3)))
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) y)) (.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (.f64 x x) y) (/.f64 (.f64 -4/3 x) y)))
(+.f64 (/.f64 1 y) (fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))))
(fma.f64 1/3 (/.f64 x (/.f64 y x)) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)))
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (/.f64 x (/.f64 y x)) (/.f64 1 y)))
(+.f64 (/.f64 1 y) (.f64 (/.f64 x y) (+.f64 -4/3 (.f64 x 1/3))))
(*.f64 (fma.f64 -1/3 x 1) (/.f64 (-.f64 1 x) y))
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) y)) (.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (.f64 x x) y) (/.f64 (.f64 -4/3 x) y)))
(+.f64 (/.f64 1 y) (fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))))
(fma.f64 1/3 (/.f64 x (/.f64 y x)) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)))
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (/.f64 x (/.f64 y x)) (/.f64 1 y)))
(+.f64 (/.f64 1 y) (.f64 (/.f64 x y) (+.f64 -4/3 (.f64 x 1/3))))
(*.f64 (fma.f64 -1/3 x 1) (/.f64 (-.f64 1 x) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(/.f64 (.f64 1/3 (.f64 x x)) y)
(.f64 x (.f64 x (/.f64 1/3 y)))
(+.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) y)) (.f64 -4/3 (/.f64 x y)))
(fma.f64 1/3 (/.f64 (.f64 x x) y) (/.f64 (.f64 -4/3 x) y))
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x))))
(.f64 (/.f64 x y) (+.f64 -4/3 (.f64 x 1/3)))
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) y)) (.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (.f64 x x) y) (/.f64 (.f64 -4/3 x) y)))
(+.f64 (/.f64 1 y) (fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))))
(fma.f64 1/3 (/.f64 x (/.f64 y x)) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)))
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (/.f64 x (/.f64 y x)) (/.f64 1 y)))
(+.f64 (/.f64 1 y) (.f64 (/.f64 x y) (+.f64 -4/3 (.f64 x 1/3))))
(*.f64 (fma.f64 -1/3 x 1) (/.f64 (-.f64 1 x) y))
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) y)) (.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (.f64 x x) y) (/.f64 (.f64 -4/3 x) y)))
(+.f64 (/.f64 1 y) (fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))))
(fma.f64 1/3 (/.f64 x (/.f64 y x)) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)))
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (/.f64 x (/.f64 y x)) (/.f64 1 y)))
(+.f64 (/.f64 1 y) (.f64 (/.f64 x y) (+.f64 -4/3 (.f64 x 1/3))))
(*.f64 (fma.f64 -1/3 x 1) (/.f64 (-.f64 1 x) y))
(/.f64 (.f64 (+.f64 1 (.f64 -1/3 x)) (-.f64 1 x)) y)
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (.f64 x x) y) (/.f64 (.f64 -4/3 x) y)))
(+.f64 (/.f64 1 y) (fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))))
(fma.f64 1/3 (/.f64 x (/.f64 y x)) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)))
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (/.f64 x (/.f64 y x)) (/.f64 1 y)))
(+.f64 (/.f64 1 y) (.f64 (/.f64 x y) (+.f64 -4/3 (.f64 x 1/3))))
(*.f64 (fma.f64 -1/3 x 1) (/.f64 (-.f64 1 x) y))
(/.f64 (.f64 (+.f64 1 (.f64 -1/3 x)) (-.f64 1 x)) y)
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (.f64 x x) y) (/.f64 (.f64 -4/3 x) y)))
(+.f64 (/.f64 1 y) (fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))))
(fma.f64 1/3 (/.f64 x (/.f64 y x)) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)))
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (/.f64 x (/.f64 y x)) (/.f64 1 y)))
(+.f64 (/.f64 1 y) (.f64 (/.f64 x y) (+.f64 -4/3 (.f64 x 1/3))))
(*.f64 (fma.f64 -1/3 x 1) (/.f64 (-.f64 1 x) y))
(/.f64 (.f64 (+.f64 1 (.f64 -1/3 x)) (-.f64 1 x)) y)
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (.f64 x x) y) (/.f64 (.f64 -4/3 x) y)))
(+.f64 (/.f64 1 y) (fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))))
(fma.f64 1/3 (/.f64 x (/.f64 y x)) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)))
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (/.f64 x (/.f64 y x)) (/.f64 1 y)))
(+.f64 (/.f64 1 y) (.f64 (/.f64 x y) (+.f64 -4/3 (.f64 x 1/3))))
(*.f64 (fma.f64 -1/3 x 1) (/.f64 (-.f64 1 x) y))
(/.f64 (.f64 (+.f64 1 (.f64 -1/3 x)) (-.f64 1 x)) y)
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (.f64 x x) y) (/.f64 (.f64 -4/3 x) y)))
(+.f64 (/.f64 1 y) (fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))))
(fma.f64 1/3 (/.f64 x (/.f64 y x)) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)))
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (/.f64 x (/.f64 y x)) (/.f64 1 y)))
(+.f64 (/.f64 1 y) (.f64 (/.f64 x y) (+.f64 -4/3 (.f64 x 1/3))))
(*.f64 (fma.f64 -1/3 x 1) (/.f64 (-.f64 1 x) y))
(/.f64 (.f64 (+.f64 1 (.f64 -1/3 x)) (-.f64 1 x)) y)
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (.f64 x x) y) (/.f64 (.f64 -4/3 x) y)))
(+.f64 (/.f64 1 y) (fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))))
(fma.f64 1/3 (/.f64 x (/.f64 y x)) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)))
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (/.f64 x (/.f64 y x)) (/.f64 1 y)))
(+.f64 (/.f64 1 y) (.f64 (/.f64 x y) (+.f64 -4/3 (.f64 x 1/3))))
(*.f64 (fma.f64 -1/3 x 1) (/.f64 (-.f64 1 x) y))
(/.f64 (.f64 (+.f64 1 (.f64 -1/3 x)) (-.f64 1 x)) y)
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (.f64 x x) y) (/.f64 (.f64 -4/3 x) y)))
(+.f64 (/.f64 1 y) (fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))))
(fma.f64 1/3 (/.f64 x (/.f64 y x)) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)))
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (/.f64 x (/.f64 y x)) (/.f64 1 y)))
(+.f64 (/.f64 1 y) (.f64 (/.f64 x y) (+.f64 -4/3 (.f64 x 1/3))))
(*.f64 (fma.f64 -1/3 x 1) (/.f64 (-.f64 1 x) y))
(/.f64 (.f64 (+.f64 1 (.f64 -1/3 x)) (-.f64 1 x)) y)
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (.f64 x x) y) (/.f64 (.f64 -4/3 x) y)))
(+.f64 (/.f64 1 y) (fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))))
(fma.f64 1/3 (/.f64 x (/.f64 y x)) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)))
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (/.f64 x (/.f64 y x)) (/.f64 1 y)))
(+.f64 (/.f64 1 y) (.f64 (/.f64 x y) (+.f64 -4/3 (.f64 x 1/3))))
(*.f64 (fma.f64 -1/3 x 1) (/.f64 (-.f64 1 x) y))
(/.f64 (.f64 (+.f64 1 (.f64 -1/3 x)) (-.f64 1 x)) y)
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (.f64 x x) y) (/.f64 (.f64 -4/3 x) y)))
(+.f64 (/.f64 1 y) (fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))))
(fma.f64 1/3 (/.f64 x (/.f64 y x)) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)))
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (/.f64 x (/.f64 y x)) (/.f64 1 y)))
(+.f64 (/.f64 1 y) (.f64 (/.f64 x y) (+.f64 -4/3 (.f64 x 1/3))))
(*.f64 (fma.f64 -1/3 x 1) (/.f64 (-.f64 1 x) y))
(/.f64 (.f64 (+.f64 1 (.f64 -1/3 x)) (-.f64 1 x)) y)
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (.f64 x x) y) (/.f64 (.f64 -4/3 x) y)))
(+.f64 (/.f64 1 y) (fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))))
(fma.f64 1/3 (/.f64 x (/.f64 y x)) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)))
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (/.f64 x (/.f64 y x)) (/.f64 1 y)))
(+.f64 (/.f64 1 y) (.f64 (/.f64 x y) (+.f64 -4/3 (.f64 x 1/3))))
(*.f64 (fma.f64 -1/3 x 1) (/.f64 (-.f64 1 x) y))
(/.f64 (.f64 (+.f64 1 (.f64 -1/3 x)) (-.f64 1 x)) y)
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (.f64 x x) y) (/.f64 (.f64 -4/3 x) y)))
(+.f64 (/.f64 1 y) (fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))))
(fma.f64 1/3 (/.f64 x (/.f64 y x)) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)))
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (/.f64 x (/.f64 y x)) (/.f64 1 y)))
(+.f64 (/.f64 1 y) (.f64 (/.f64 x y) (+.f64 -4/3 (.f64 x 1/3))))
(*.f64 (fma.f64 -1/3 x 1) (/.f64 (-.f64 1 x) y))
(/.f64 (.f64 (+.f64 1 (.f64 -1/3 x)) (-.f64 1 x)) y)
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (.f64 x x) y) (/.f64 (.f64 -4/3 x) y)))
(+.f64 (/.f64 1 y) (fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))))
(fma.f64 1/3 (/.f64 x (/.f64 y x)) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)))
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (/.f64 x (/.f64 y x)) (/.f64 1 y)))
(+.f64 (/.f64 1 y) (.f64 (/.f64 x y) (+.f64 -4/3 (.f64 x 1/3))))
(*.f64 (fma.f64 -1/3 x 1) (/.f64 (-.f64 1 x) y))
(/.f64 (.f64 (+.f64 1 (.f64 -1/3 x)) (-.f64 1 x)) y)
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (.f64 x x) y) (/.f64 (.f64 -4/3 x) y)))
(+.f64 (/.f64 1 y) (fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))))
(fma.f64 1/3 (/.f64 x (/.f64 y x)) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)))
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (/.f64 x (/.f64 y x)) (/.f64 1 y)))
(+.f64 (/.f64 1 y) (.f64 (/.f64 x y) (+.f64 -4/3 (.f64 x 1/3))))
(*.f64 (fma.f64 -1/3 x 1) (/.f64 (-.f64 1 x) y))
(/.f64 1 y)
(+.f64 (*.f64 -1/3 (/.f64 x y)) (/.f64 1 y))
(fma.f64 -1/3 (/.f64 x y) (/.f64 1 y))
(/.f64 (fma.f64 -1/3 x 1) y)
(+.f64 (*.f64 -1/3 (/.f64 x y)) (/.f64 1 y))
(fma.f64 -1/3 (/.f64 x y) (/.f64 1 y))
(/.f64 (fma.f64 -1/3 x 1) y)
(+.f64 (*.f64 -1/3 (/.f64 x y)) (/.f64 1 y))
(fma.f64 -1/3 (/.f64 x y) (/.f64 1 y))
(/.f64 (fma.f64 -1/3 x 1) y)
(*.f64 -1/3 (/.f64 x y))
(*.f64 x (/.f64 -1/3 y))
(+.f64 (/.f64 1 y) (*.f64 -1/3 (/.f64 x y)))
(fma.f64 -1/3 (/.f64 x y) (/.f64 1 y))
(/.f64 (fma.f64 -1/3 x 1) y)
(+.f64 (/.f64 1 y) (*.f64 -1/3 (/.f64 x y)))
(fma.f64 -1/3 (/.f64 x y) (/.f64 1 y))
(/.f64 (fma.f64 -1/3 x 1) y)
(+.f64 (/.f64 1 y) (*.f64 -1/3 (/.f64 x y)))
(fma.f64 -1/3 (/.f64 x y) (/.f64 1 y))
(/.f64 (fma.f64 -1/3 x 1) y)
(*.f64 -1/3 (/.f64 x y))
(*.f64 x (/.f64 -1/3 y))
(+.f64 (/.f64 1 y) (*.f64 -1/3 (/.f64 x y)))
(fma.f64 -1/3 (/.f64 x y) (/.f64 1 y))
(/.f64 (fma.f64 -1/3 x 1) y)
(+.f64 (/.f64 1 y) (*.f64 -1/3 (/.f64 x y)))
(fma.f64 -1/3 (/.f64 x y) (/.f64 1 y))
(/.f64 (fma.f64 -1/3 x 1) y)
(+.f64 (/.f64 1 y) (*.f64 -1/3 (/.f64 x y)))
(fma.f64 -1/3 (/.f64 x y) (/.f64 1 y))
(/.f64 (fma.f64 -1/3 x 1) y)
(/.f64 (+.f64 1 (*.f64 -1/3 x)) y)
(fma.f64 -1/3 (/.f64 x y) (/.f64 1 y))
(/.f64 (fma.f64 -1/3 x 1) y)
(/.f64 (+.f64 1 (*.f64 -1/3 x)) y)
(fma.f64 -1/3 (/.f64 x y) (/.f64 1 y))
(/.f64 (fma.f64 -1/3 x 1) y)
(/.f64 (+.f64 1 (*.f64 -1/3 x)) y)
(fma.f64 -1/3 (/.f64 x y) (/.f64 1 y))
(/.f64 (fma.f64 -1/3 x 1) y)
(/.f64 (+.f64 1 (*.f64 -1/3 x)) y)
(fma.f64 -1/3 (/.f64 x y) (/.f64 1 y))
(/.f64 (fma.f64 -1/3 x 1) y)
(/.f64 (+.f64 1 (*.f64 -1/3 x)) y)
(fma.f64 -1/3 (/.f64 x y) (/.f64 1 y))
(/.f64 (fma.f64 -1/3 x 1) y)
(/.f64 (+.f64 1 (*.f64 -1/3 x)) y)
(fma.f64 -1/3 (/.f64 x y) (/.f64 1 y))
(/.f64 (fma.f64 -1/3 x 1) y)
(/.f64 (+.f64 1 (*.f64 -1/3 x)) y)
(fma.f64 -1/3 (/.f64 x y) (/.f64 1 y))
(/.f64 (fma.f64 -1/3 x 1) y)
(/.f64 (+.f64 1 (*.f64 -1/3 x)) y)
(fma.f64 -1/3 (/.f64 x y) (/.f64 1 y))
(/.f64 (fma.f64 -1/3 x 1) y)
(/.f64 (+.f64 1 (*.f64 -1/3 x)) y)
(fma.f64 -1/3 (/.f64 x y) (/.f64 1 y))
(/.f64 (fma.f64 -1/3 x 1) y)
(/.f64 (+.f64 1 (*.f64 -1/3 x)) y)
(fma.f64 -1/3 (/.f64 x y) (/.f64 1 y))
(/.f64 (fma.f64 -1/3 x 1) y)
(/.f64 (+.f64 1 (*.f64 -1/3 x)) y)
(fma.f64 -1/3 (/.f64 x y) (/.f64 1 y))
(/.f64 (fma.f64 -1/3 x 1) y)
(/.f64 (+.f64 1 (*.f64 -1/3 x)) y)
(fma.f64 -1/3 (/.f64 x y) (/.f64 1 y))
(/.f64 (fma.f64 -1/3 x 1) y)

prune765.0ms (10.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	205	4	209
Fresh	3	1	4
Picked	0	1	1
Done	0	0	0
Total	208	6	214

Error

Counts

214 → 6

Alt Table

Status	Error	Program
	1.3b	(.f64 (-.f64 1 x) (.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) -1) (pow.f64 (/.f64 (cbrt.f64 y) (fma.f64 x -1/3 1)) -1)))
	9.9b	(/.f64 (.f64 (/.f64 (fma.f64 x -1/3 1) y) (-.f64 1 (.f64 x x))) (+.f64 x 1))
	0.2b	(*.f64 (fma.f64 -1/3 x 1) (/.f64 (-.f64 1 x) y))
✓	0.2b	(*.f64 (-.f64 1 x) (/.f64 (fma.f64 x -1/3 1) y))
▶	0.2b	(/.f64 (-.f64 1 x) (/.f64 y (fma.f64 x -1/3 1)))
	0.3b	(*.f64 (/.f64 (-.f64 1 x) 3) (/.f64 (-.f64 3 x) y))

Compiler

Compiled 3767 to 2756 computations (26.8% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (-.f64 1 x) (/.f64 y (fma.f64 x -1/3 1)))
✓	0.1b	(/.f64 y (fma.f64 x -1/3 1))
	0.1b	(fma.f64 x -1/3 1)

series6.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite140.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

521×	`log-prod_binary64`
456×	`prod-diff_binary64`
299×	`egg-rr`
274×	`pow-prod-down_binary64`
265×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	22
1	200	22
2	2837	22

Stop Event

1×	node limit

Counts

2 → 342

Calls

Call 1

Inputs
(/.f64 y (fma.f64 x -1/3 1))
(/.f64 (-.f64 1 x) (/.f64 y (fma.f64 x -1/3 1)))

Outputs

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

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

simplify70.0ms (1%)

Algorithm

1×	egg-herbie

Rules

767×	`fma-def_binary64`
544×	`associate-/l/_binary64`
537×	`associate-*l/_binary64`
454×	`distribute-lft-out_binary64`
317×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	58	758
1	144	706
2	350	666
3	1042	646
4	3732	626
5	7759	626

Stop Event

1×	node limit

Counts

390 → 369

Calls

Call 1

Inputs
(/.f64 y (+.f64 1 (*.f64 -1/3 x)))
(/.f64 y (+.f64 1 (*.f64 -1/3 x)))
(/.f64 y (+.f64 1 (*.f64 -1/3 x)))
(/.f64 y (+.f64 1 (*.f64 -1/3 x)))
(/.f64 y (+.f64 1 (*.f64 -1/3 x)))
(/.f64 y (+.f64 1 (*.f64 -1/3 x)))
(/.f64 y (+.f64 1 (*.f64 -1/3 x)))
(/.f64 y (+.f64 1 (*.f64 -1/3 x)))
(/.f64 y (+.f64 1 (*.f64 -1/3 x)))
(/.f64 y (+.f64 1 (*.f64 -1/3 x)))
(/.f64 y (+.f64 1 (*.f64 -1/3 x)))
(/.f64 y (+.f64 1 (*.f64 -1/3 x)))
y
(+.f64 y (.f64 1/3 (.f64 y x)))
(+.f64 y (+.f64 (.f64 1/9 (.f64 y (pow.f64 x 2))) (.f64 1/3 (.f64 y x))))
(+.f64 y (+.f64 (.f64 1/27 (.f64 y (pow.f64 x 3))) (+.f64 (.f64 1/9 (.f64 y (pow.f64 x 2))) (.f64 1/3 (.f64 y x)))))
(*.f64 -3 (/.f64 y x))
(+.f64 (.f64 -3 (/.f64 y x)) (.f64 -9 (/.f64 y (pow.f64 x 2))))
(+.f64 (.f64 -3 (/.f64 y x)) (+.f64 (.f64 -9 (/.f64 y (pow.f64 x 2))) (*.f64 -27 (/.f64 y (pow.f64 x 3)))))
(+.f64 (.f64 -3 (/.f64 y x)) (+.f64 (.f64 -9 (/.f64 y (pow.f64 x 2))) (+.f64 (.f64 -27 (/.f64 y (pow.f64 x 3))) (.f64 -81 (/.f64 y (pow.f64 x 4))))))
(*.f64 -3 (/.f64 y x))
(+.f64 (.f64 -3 (/.f64 y x)) (.f64 -9 (/.f64 y (pow.f64 x 2))))
(+.f64 (.f64 -3 (/.f64 y x)) (+.f64 (.f64 -9 (/.f64 y (pow.f64 x 2))) (*.f64 -27 (/.f64 y (pow.f64 x 3)))))
(+.f64 (.f64 -3 (/.f64 y x)) (+.f64 (.f64 -9 (/.f64 y (pow.f64 x 2))) (+.f64 (.f64 -27 (/.f64 y (pow.f64 x 3))) (.f64 -81 (/.f64 y (pow.f64 x 4))))))
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) y)) (.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) y)) (.f64 -4/3 (/.f64 x y))))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(+.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) y)) (.f64 -4/3 (/.f64 x y)))
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) y)) (.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) y)) (.f64 -4/3 (/.f64 x y))))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(+.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) y)) (.f64 -4/3 (/.f64 x y)))
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) y)) (.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) y)) (.f64 -4/3 (/.f64 x y))))
(/.f64 (.f64 (+.f64 1 (.f64 -1/3 x)) (-.f64 1 x)) y)
(/.f64 (.f64 (+.f64 1 (.f64 -1/3 x)) (-.f64 1 x)) y)
(/.f64 (.f64 (+.f64 1 (.f64 -1/3 x)) (-.f64 1 x)) y)
(/.f64 (.f64 (+.f64 1 (.f64 -1/3 x)) (-.f64 1 x)) y)
(/.f64 (.f64 (+.f64 1 (.f64 -1/3 x)) (-.f64 1 x)) y)
(/.f64 (.f64 (+.f64 1 (.f64 -1/3 x)) (-.f64 1 x)) y)
(/.f64 (.f64 (+.f64 1 (.f64 -1/3 x)) (-.f64 1 x)) y)
(/.f64 (.f64 (+.f64 1 (.f64 -1/3 x)) (-.f64 1 x)) y)
(/.f64 (.f64 (+.f64 1 (.f64 -1/3 x)) (-.f64 1 x)) y)
(/.f64 (.f64 (+.f64 1 (.f64 -1/3 x)) (-.f64 1 x)) y)
(/.f64 (.f64 (+.f64 1 (.f64 -1/3 x)) (-.f64 1 x)) y)
(/.f64 (.f64 (+.f64 1 (.f64 -1/3 x)) (-.f64 1 x)) y)

Outputs
(/.f64 y (+.f64 1 (*.f64 -1/3 x)))
(/.f64 y (fma.f64 -1/3 x 1))
(/.f64 y (+.f64 1 (*.f64 -1/3 x)))
(/.f64 y (fma.f64 -1/3 x 1))
(/.f64 y (+.f64 1 (*.f64 -1/3 x)))
(/.f64 y (fma.f64 -1/3 x 1))
(/.f64 y (+.f64 1 (*.f64 -1/3 x)))
(/.f64 y (fma.f64 -1/3 x 1))
(/.f64 y (+.f64 1 (*.f64 -1/3 x)))
(/.f64 y (fma.f64 -1/3 x 1))
(/.f64 y (+.f64 1 (*.f64 -1/3 x)))
(/.f64 y (fma.f64 -1/3 x 1))
(/.f64 y (+.f64 1 (*.f64 -1/3 x)))
(/.f64 y (fma.f64 -1/3 x 1))
(/.f64 y (+.f64 1 (*.f64 -1/3 x)))
(/.f64 y (fma.f64 -1/3 x 1))
(/.f64 y (+.f64 1 (*.f64 -1/3 x)))
(/.f64 y (fma.f64 -1/3 x 1))
(/.f64 y (+.f64 1 (*.f64 -1/3 x)))
(/.f64 y (fma.f64 -1/3 x 1))
(/.f64 y (+.f64 1 (*.f64 -1/3 x)))
(/.f64 y (fma.f64 -1/3 x 1))
(/.f64 y (+.f64 1 (*.f64 -1/3 x)))
(/.f64 y (fma.f64 -1/3 x 1))
y
(+.f64 y (.f64 1/3 (.f64 y x)))
(fma.f64 1/3 (*.f64 y x) y)
(fma.f64 y (*.f64 x 1/3) y)
(+.f64 y (+.f64 (.f64 1/9 (.f64 y (pow.f64 x 2))) (.f64 1/3 (.f64 y x))))
(+.f64 y (fma.f64 1/9 (.f64 y (.f64 x x)) (.f64 1/3 (.f64 y x))))
(+.f64 y (fma.f64 1/9 (.f64 y (.f64 x x)) (.f64 y (.f64 x 1/3))))
(fma.f64 y (.f64 x 1/3) (fma.f64 (.f64 x x) (*.f64 y 1/9) y))
(fma.f64 y (.f64 x (+.f64 (.f64 x 1/9) 1/3)) y)
(fma.f64 y (.f64 x (+.f64 1/3 (.f64 x 1/9))) y)
(+.f64 y (+.f64 (.f64 1/27 (.f64 y (pow.f64 x 3))) (+.f64 (.f64 1/9 (.f64 y (pow.f64 x 2))) (.f64 1/3 (.f64 y x)))))
(+.f64 y (fma.f64 1/27 (.f64 y (pow.f64 x 3)) (fma.f64 1/9 (.f64 y (.f64 x x)) (.f64 1/3 (*.f64 y x)))))
(+.f64 y (fma.f64 1/27 (.f64 y (pow.f64 x 3)) (fma.f64 1/9 (.f64 y (.f64 x x)) (.f64 y (*.f64 x 1/3)))))
(fma.f64 y (.f64 1/27 (pow.f64 x 3)) (fma.f64 y (.f64 x 1/3) (fma.f64 (.f64 x x) (.f64 y 1/9) y)))
(fma.f64 y (.f64 (.f64 x x) (+.f64 (.f64 x 1/27) 1/9)) (fma.f64 y (.f64 x 1/3) y))
(+.f64 y (.f64 (.f64 y x) (+.f64 (.f64 x (+.f64 1/9 (.f64 x 1/27))) 1/3)))
(*.f64 -3 (/.f64 y x))
(+.f64 (.f64 -3 (/.f64 y x)) (.f64 -9 (/.f64 y (pow.f64 x 2))))
(fma.f64 -3 (/.f64 y x) (.f64 -9 (/.f64 y (.f64 x x))))
(fma.f64 -9 (/.f64 y (.f64 x x)) (.f64 -3 (/.f64 y x)))
(*.f64 (/.f64 y x) (+.f64 -3 (/.f64 -9 x)))
(+.f64 (.f64 -3 (/.f64 y x)) (+.f64 (.f64 -9 (/.f64 y (pow.f64 x 2))) (*.f64 -27 (/.f64 y (pow.f64 x 3)))))
(fma.f64 -3 (/.f64 y x) (fma.f64 -9 (/.f64 y (.f64 x x)) (.f64 -27 (/.f64 y (pow.f64 x 3)))))
(fma.f64 -27 (/.f64 y (pow.f64 x 3)) (*.f64 (/.f64 y x) (+.f64 -3 (/.f64 -9 x))))
(.f64 (/.f64 y x) (+.f64 (+.f64 (/.f64 -9 x) (/.f64 -27 (.f64 x x))) -3))
(.f64 (/.f64 y x) (+.f64 -3 (+.f64 (/.f64 -9 x) (/.f64 -27 (.f64 x x)))))
(+.f64 (.f64 -3 (/.f64 y x)) (+.f64 (.f64 -9 (/.f64 y (pow.f64 x 2))) (+.f64 (.f64 -27 (/.f64 y (pow.f64 x 3))) (.f64 -81 (/.f64 y (pow.f64 x 4))))))
(fma.f64 -3 (/.f64 y x) (fma.f64 -9 (/.f64 y (.f64 x x)) (fma.f64 -27 (/.f64 y (pow.f64 x 3)) (.f64 -81 (/.f64 y (pow.f64 x 4))))))
(fma.f64 -3 (/.f64 y x) (fma.f64 -9 (/.f64 y (.f64 x x)) (fma.f64 -27 (/.f64 y (pow.f64 x 3)) (/.f64 (.f64 y -81) (pow.f64 x 4)))))
(fma.f64 -3 (/.f64 y x) (fma.f64 -81 (/.f64 y (pow.f64 x 4)) (.f64 (/.f64 y (.f64 x x)) (+.f64 -9 (/.f64 -27 x)))))
(fma.f64 (/.f64 y x) (+.f64 -3 (/.f64 -9 x)) (*.f64 (/.f64 y (pow.f64 x 3)) (+.f64 -27 (/.f64 -81 x))))
(*.f64 -3 (/.f64 y x))
(+.f64 (.f64 -3 (/.f64 y x)) (.f64 -9 (/.f64 y (pow.f64 x 2))))
(fma.f64 -3 (/.f64 y x) (.f64 -9 (/.f64 y (.f64 x x))))
(fma.f64 -9 (/.f64 y (.f64 x x)) (.f64 -3 (/.f64 y x)))
(*.f64 (/.f64 y x) (+.f64 -3 (/.f64 -9 x)))
(+.f64 (.f64 -3 (/.f64 y x)) (+.f64 (.f64 -9 (/.f64 y (pow.f64 x 2))) (*.f64 -27 (/.f64 y (pow.f64 x 3)))))
(fma.f64 -3 (/.f64 y x) (fma.f64 -9 (/.f64 y (.f64 x x)) (.f64 -27 (/.f64 y (pow.f64 x 3)))))
(fma.f64 -27 (/.f64 y (pow.f64 x 3)) (*.f64 (/.f64 y x) (+.f64 -3 (/.f64 -9 x))))
(.f64 (/.f64 y x) (+.f64 (+.f64 (/.f64 -9 x) (/.f64 -27 (.f64 x x))) -3))
(.f64 (/.f64 y x) (+.f64 -3 (+.f64 (/.f64 -9 x) (/.f64 -27 (.f64 x x)))))
(+.f64 (.f64 -3 (/.f64 y x)) (+.f64 (.f64 -9 (/.f64 y (pow.f64 x 2))) (+.f64 (.f64 -27 (/.f64 y (pow.f64 x 3))) (.f64 -81 (/.f64 y (pow.f64 x 4))))))
(fma.f64 -3 (/.f64 y x) (fma.f64 -9 (/.f64 y (.f64 x x)) (fma.f64 -27 (/.f64 y (pow.f64 x 3)) (.f64 -81 (/.f64 y (pow.f64 x 4))))))
(fma.f64 -3 (/.f64 y x) (fma.f64 -9 (/.f64 y (.f64 x x)) (fma.f64 -27 (/.f64 y (pow.f64 x 3)) (/.f64 (.f64 y -81) (pow.f64 x 4)))))
(fma.f64 -3 (/.f64 y x) (fma.f64 -81 (/.f64 y (pow.f64 x 4)) (.f64 (/.f64 y (.f64 x x)) (+.f64 -9 (/.f64 -27 x)))))
(fma.f64 (/.f64 y x) (+.f64 -3 (/.f64 -9 x)) (*.f64 (/.f64 y (pow.f64 x 3)) (+.f64 -27 (/.f64 -81 x))))
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) y)) (.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (.f64 x x) y) (.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 x (/.f64 y x)) (*.f64 -4/3 (/.f64 x y))))
(fma.f64 1/3 (*.f64 (/.f64 x y) x) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)))
(fma.f64 1/3 (*.f64 x (/.f64 x y)) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)))
(+.f64 (/.f64 1 y) (.f64 (/.f64 x y) (+.f64 -4/3 (.f64 x 1/3))))
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) y)) (.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (.f64 x x) y) (.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 x (/.f64 y x)) (*.f64 -4/3 (/.f64 x y))))
(fma.f64 1/3 (*.f64 (/.f64 x y) x) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)))
(fma.f64 1/3 (*.f64 x (/.f64 x y)) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)))
(+.f64 (/.f64 1 y) (.f64 (/.f64 x y) (+.f64 -4/3 (.f64 x 1/3))))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(.f64 (/.f64 1/3 y) (.f64 x x))
(.f64 (.f64 x x) (/.f64 1/3 y))
(+.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) y)) (.f64 -4/3 (/.f64 x y)))
(fma.f64 1/3 (/.f64 (.f64 x x) y) (.f64 -4/3 (/.f64 x y)))
(fma.f64 1/3 (/.f64 x (/.f64 y x)) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 -4/3 (/.f64 x y) (.f64 (/.f64 1/3 y) (.f64 x x)))
(.f64 x (+.f64 (/.f64 -4/3 y) (.f64 (/.f64 1/3 y) x)))
(.f64 (/.f64 x y) (+.f64 -4/3 (.f64 x 1/3)))
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) y)) (.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (.f64 x x) y) (.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 x (/.f64 y x)) (*.f64 -4/3 (/.f64 x y))))
(fma.f64 1/3 (*.f64 (/.f64 x y) x) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)))
(fma.f64 1/3 (*.f64 x (/.f64 x y)) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)))
(+.f64 (/.f64 1 y) (.f64 (/.f64 x y) (+.f64 -4/3 (.f64 x 1/3))))
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) y)) (.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (.f64 x x) y) (.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 x (/.f64 y x)) (*.f64 -4/3 (/.f64 x y))))
(fma.f64 1/3 (*.f64 (/.f64 x y) x) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)))
(fma.f64 1/3 (*.f64 x (/.f64 x y)) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)))
(+.f64 (/.f64 1 y) (.f64 (/.f64 x y) (+.f64 -4/3 (.f64 x 1/3))))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(.f64 (/.f64 1/3 y) (.f64 x x))
(.f64 (.f64 x x) (/.f64 1/3 y))
(+.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) y)) (.f64 -4/3 (/.f64 x y)))
(fma.f64 1/3 (/.f64 (.f64 x x) y) (.f64 -4/3 (/.f64 x y)))
(fma.f64 1/3 (/.f64 x (/.f64 y x)) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 -4/3 (/.f64 x y) (.f64 (/.f64 1/3 y) (.f64 x x)))
(.f64 x (+.f64 (/.f64 -4/3 y) (.f64 (/.f64 1/3 y) x)))
(.f64 (/.f64 x y) (+.f64 -4/3 (.f64 x 1/3)))
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) y)) (.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (.f64 x x) y) (.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 x (/.f64 y x)) (*.f64 -4/3 (/.f64 x y))))
(fma.f64 1/3 (*.f64 (/.f64 x y) x) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)))
(fma.f64 1/3 (*.f64 x (/.f64 x y)) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)))
(+.f64 (/.f64 1 y) (.f64 (/.f64 x y) (+.f64 -4/3 (.f64 x 1/3))))
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) y)) (.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (.f64 x x) y) (.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 x (/.f64 y x)) (*.f64 -4/3 (/.f64 x y))))
(fma.f64 1/3 (*.f64 (/.f64 x y) x) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)))
(fma.f64 1/3 (*.f64 x (/.f64 x y)) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)))
(+.f64 (/.f64 1 y) (.f64 (/.f64 x y) (+.f64 -4/3 (.f64 x 1/3))))
(/.f64 (.f64 (+.f64 1 (.f64 -1/3 x)) (-.f64 1 x)) y)
(/.f64 (+.f64 1 (*.f64 -1/3 x)) (/.f64 y (-.f64 1 x)))
(*.f64 (/.f64 (fma.f64 -1/3 x 1) y) (-.f64 1 x))
(*.f64 (/.f64 (-.f64 1 x) y) (fma.f64 -1/3 x 1))
(*.f64 (fma.f64 -1/3 x 1) (/.f64 (-.f64 1 x) y))
(/.f64 (.f64 (+.f64 1 (.f64 -1/3 x)) (-.f64 1 x)) y)
(/.f64 (+.f64 1 (*.f64 -1/3 x)) (/.f64 y (-.f64 1 x)))
(*.f64 (/.f64 (fma.f64 -1/3 x 1) y) (-.f64 1 x))
(*.f64 (/.f64 (-.f64 1 x) y) (fma.f64 -1/3 x 1))
(*.f64 (fma.f64 -1/3 x 1) (/.f64 (-.f64 1 x) y))
(/.f64 (.f64 (+.f64 1 (.f64 -1/3 x)) (-.f64 1 x)) y)
(/.f64 (+.f64 1 (*.f64 -1/3 x)) (/.f64 y (-.f64 1 x)))
(*.f64 (/.f64 (fma.f64 -1/3 x 1) y) (-.f64 1 x))
(*.f64 (/.f64 (-.f64 1 x) y) (fma.f64 -1/3 x 1))
(*.f64 (fma.f64 -1/3 x 1) (/.f64 (-.f64 1 x) y))
(/.f64 (.f64 (+.f64 1 (.f64 -1/3 x)) (-.f64 1 x)) y)
(/.f64 (+.f64 1 (*.f64 -1/3 x)) (/.f64 y (-.f64 1 x)))
(*.f64 (/.f64 (fma.f64 -1/3 x 1) y) (-.f64 1 x))
(*.f64 (/.f64 (-.f64 1 x) y) (fma.f64 -1/3 x 1))
(*.f64 (fma.f64 -1/3 x 1) (/.f64 (-.f64 1 x) y))
(/.f64 (.f64 (+.f64 1 (.f64 -1/3 x)) (-.f64 1 x)) y)
(/.f64 (+.f64 1 (*.f64 -1/3 x)) (/.f64 y (-.f64 1 x)))
(*.f64 (/.f64 (fma.f64 -1/3 x 1) y) (-.f64 1 x))
(*.f64 (/.f64 (-.f64 1 x) y) (fma.f64 -1/3 x 1))
(*.f64 (fma.f64 -1/3 x 1) (/.f64 (-.f64 1 x) y))
(/.f64 (.f64 (+.f64 1 (.f64 -1/3 x)) (-.f64 1 x)) y)
(/.f64 (+.f64 1 (*.f64 -1/3 x)) (/.f64 y (-.f64 1 x)))
(*.f64 (/.f64 (fma.f64 -1/3 x 1) y) (-.f64 1 x))
(*.f64 (/.f64 (-.f64 1 x) y) (fma.f64 -1/3 x 1))
(*.f64 (fma.f64 -1/3 x 1) (/.f64 (-.f64 1 x) y))
(/.f64 (.f64 (+.f64 1 (.f64 -1/3 x)) (-.f64 1 x)) y)
(/.f64 (+.f64 1 (*.f64 -1/3 x)) (/.f64 y (-.f64 1 x)))
(*.f64 (/.f64 (fma.f64 -1/3 x 1) y) (-.f64 1 x))
(*.f64 (/.f64 (-.f64 1 x) y) (fma.f64 -1/3 x 1))
(*.f64 (fma.f64 -1/3 x 1) (/.f64 (-.f64 1 x) y))
(/.f64 (.f64 (+.f64 1 (.f64 -1/3 x)) (-.f64 1 x)) y)
(/.f64 (+.f64 1 (*.f64 -1/3 x)) (/.f64 y (-.f64 1 x)))
(*.f64 (/.f64 (fma.f64 -1/3 x 1) y) (-.f64 1 x))
(*.f64 (/.f64 (-.f64 1 x) y) (fma.f64 -1/3 x 1))
(*.f64 (fma.f64 -1/3 x 1) (/.f64 (-.f64 1 x) y))
(/.f64 (.f64 (+.f64 1 (.f64 -1/3 x)) (-.f64 1 x)) y)
(/.f64 (+.f64 1 (*.f64 -1/3 x)) (/.f64 y (-.f64 1 x)))
(*.f64 (/.f64 (fma.f64 -1/3 x 1) y) (-.f64 1 x))
(*.f64 (/.f64 (-.f64 1 x) y) (fma.f64 -1/3 x 1))
(*.f64 (fma.f64 -1/3 x 1) (/.f64 (-.f64 1 x) y))
(/.f64 (.f64 (+.f64 1 (.f64 -1/3 x)) (-.f64 1 x)) y)
(/.f64 (+.f64 1 (*.f64 -1/3 x)) (/.f64 y (-.f64 1 x)))
(*.f64 (/.f64 (fma.f64 -1/3 x 1) y) (-.f64 1 x))
(*.f64 (/.f64 (-.f64 1 x) y) (fma.f64 -1/3 x 1))
(*.f64 (fma.f64 -1/3 x 1) (/.f64 (-.f64 1 x) y))
(/.f64 (.f64 (+.f64 1 (.f64 -1/3 x)) (-.f64 1 x)) y)
(/.f64 (+.f64 1 (*.f64 -1/3 x)) (/.f64 y (-.f64 1 x)))
(*.f64 (/.f64 (fma.f64 -1/3 x 1) y) (-.f64 1 x))
(*.f64 (/.f64 (-.f64 1 x) y) (fma.f64 -1/3 x 1))
(*.f64 (fma.f64 -1/3 x 1) (/.f64 (-.f64 1 x) y))
(/.f64 (.f64 (+.f64 1 (.f64 -1/3 x)) (-.f64 1 x)) y)
(/.f64 (+.f64 1 (*.f64 -1/3 x)) (/.f64 y (-.f64 1 x)))
(*.f64 (/.f64 (fma.f64 -1/3 x 1) y) (-.f64 1 x))
(*.f64 (/.f64 (-.f64 1 x) y) (fma.f64 -1/3 x 1))
(*.f64 (fma.f64 -1/3 x 1) (/.f64 (-.f64 1 x) y))

prune1.8s (25.7%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	401	9	410
Fresh	3	1	4
Picked	1	0	1
Done	0	1	1
Total	405	11	416

Error

Counts

416 → 11

Alt Table

Status	Error	Program
✓	0.2b	(*.f64 (-.f64 1 x) (/.f64 (fma.f64 x -1/3 1) y))
	0.5b	(+.f64 (fma.f64 1 (/.f64 (fma.f64 x -1/3 1) y) (neg.f64 (.f64 (cbrt.f64 (.f64 x (/.f64 (fma.f64 x -1/3 1) y))) (pow.f64 (cbrt.f64 (.f64 x (/.f64 (fma.f64 x -1/3 1) y))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 x (/.f64 (fma.f64 x -1/3 1) y)))) (pow.f64 (cbrt.f64 (.f64 x (/.f64 (fma.f64 x -1/3 1) y))) 2) (.f64 (cbrt.f64 (.f64 x (/.f64 (fma.f64 x -1/3 1) y))) (pow.f64 (cbrt.f64 (.f64 x (/.f64 (fma.f64 x -1/3 1) y))) 2))))
	6.4b	(+.f64 (/.f64 1 y) (+.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) y)) (.f64 -4/3 (/.f64 x y))))
	10.4b	(/.f64 (-.f64 1 x) (/.f64 y (/.f64 (+.f64 (.f64 -1/27 (pow.f64 x 3)) 1) (+.f64 (pow.f64 (.f64 x -1/3) 2) (-.f64 1 (.f64 (.f64 x -1/3) 1))))))
	0.4b	(+.f64 (fma.f64 1 (/.f64 (fma.f64 x -1/3 1) y) (neg.f64 (.f64 (/.f64 x (cbrt.f64 (/.f64 y (fma.f64 x -1/3 1)))) (pow.f64 (cbrt.f64 (/.f64 y (fma.f64 x -1/3 1))) -2)))) (fma.f64 (neg.f64 (/.f64 x (cbrt.f64 (/.f64 y (fma.f64 x -1/3 1))))) (pow.f64 (cbrt.f64 (/.f64 y (fma.f64 x -1/3 1))) -2) (.f64 (/.f64 x (cbrt.f64 (/.f64 y (fma.f64 x -1/3 1)))) (pow.f64 (cbrt.f64 (/.f64 y (fma.f64 x -1/3 1))) -2))))
	11.9b	(*.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) y) (/.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 1 (fma.f64 x -1/3 1))))
▶	0.2b	(/.f64 (-.f64 1 x) (/.f64 y (+.f64 1 (*.f64 -1/3 x))))
	10.1b	(.f64 (sqrt.f64 (-.f64 1 x)) (.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 (fma.f64 x -1/3 1) y)))
	47.3b	(+.f64 (.f64 (fma.f64 x -1/3 1) (/.f64 (-.f64 1 x) y)) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 y (fma.f64 x -1/3 1))))) (/.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 y (fma.f64 x -1/3 1)))) (.f64 x (/.f64 (fma.f64 x -1/3 1) y))))
	9.9b	(/.f64 (.f64 (/.f64 (fma.f64 x -1/3 1) y) (-.f64 1 (.f64 x x))) (+.f64 x 1))
	0.2b	(/.f64 (-.f64 1 x) (*.f64 y (/.f64 1 (fma.f64 x -1/3 1))))

Compiler

Compiled 17863 to 12417 computations (30.5% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

series7.0ms (0.1%)

Counts

3 → 36

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	y	@	inf	(/.f64 y (+.f64 1 (*.f64 -1/3 x)))
1.0ms	y	@	0	(/.f64 y (+.f64 1 (*.f64 -1/3 x)))
1.0ms	y	@	inf	(/.f64 (-.f64 1 x) (/.f64 y (+.f64 1 (*.f64 -1/3 x))))
1.0ms	y	@	0	(/.f64 (-.f64 1 x) (/.f64 y (+.f64 1 (*.f64 -1/3 x))))
1.0ms	x	@	0	(*.f64 -1/3 x)

rewrite153.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

700×	`prod-diff_binary64`
601×	`log-prod_binary64`
321×	`fma-def_binary64`
309×	`egg-rr`
209×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	30
1	227	26
2	3353	26

Stop Event

1×	node limit

Counts

3 → 373

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 -1/3 x))) (cbrt.f64 (exp.f64 (*.f64 -1/3 x))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 -1/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 -1/3 x)))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 -1/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 -1/3 x 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/3 x) 1)))) (#(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 (sqrt.f64 (*.f64 -1/3 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/27 (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/9 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.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 (*.f64 -1/27 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (log1p.f64 (*.f64 -1/3 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 -1/3 x 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 -1/3 x 1) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 -1/3 x 1)) (pow.f64 (cbrt.f64 (fma.f64 -1/3 x 1)) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/3 x 1)) 2) (cbrt.f64 (fma.f64 -1/3 x 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 -1/3 x 1)) (sqrt.f64 (fma.f64 -1/3 x 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 -1/27 (pow.f64 x 3) 1) (/.f64 1 (fma.f64 (*.f64 -1/3 x) (fma.f64 -1/3 x -1) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (*.f64 1/9 (*.f64 x x))) (/.f64 1 (-.f64 1 (*.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 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))))))

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

simplify71.0ms (1%)

Algorithm

1×	egg-herbie

Rules

767×	`fma-def_binary64`
545×	`associate-/l/_binary64`
533×	`associate-*l/_binary64`
454×	`distribute-lft-out_binary64`
317×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	57	638
1	143	610
2	350	570
3	1040	550
4	3731	530
5	7758	530

Stop Event

1×	node limit

Counts

409 → 399

Calls

Call 1

Inputs
y
(+.f64 y (.f64 1/3 (.f64 y x)))
(+.f64 y (+.f64 (.f64 1/9 (.f64 y (pow.f64 x 2))) (.f64 1/3 (.f64 y x))))
(+.f64 y (+.f64 (.f64 1/27 (.f64 y (pow.f64 x 3))) (+.f64 (.f64 1/9 (.f64 y (pow.f64 x 2))) (.f64 1/3 (.f64 y x)))))
(*.f64 -3 (/.f64 y x))
(+.f64 (.f64 -3 (/.f64 y x)) (.f64 -9 (/.f64 y (pow.f64 x 2))))
(+.f64 (.f64 -3 (/.f64 y x)) (+.f64 (.f64 -9 (/.f64 y (pow.f64 x 2))) (*.f64 -27 (/.f64 y (pow.f64 x 3)))))
(+.f64 (.f64 -3 (/.f64 y x)) (+.f64 (.f64 -9 (/.f64 y (pow.f64 x 2))) (+.f64 (.f64 -27 (/.f64 y (pow.f64 x 3))) (.f64 -81 (/.f64 y (pow.f64 x 4))))))
(*.f64 -3 (/.f64 y x))
(+.f64 (.f64 -3 (/.f64 y x)) (.f64 -9 (/.f64 y (pow.f64 x 2))))
(+.f64 (.f64 -3 (/.f64 y x)) (+.f64 (.f64 -9 (/.f64 y (pow.f64 x 2))) (*.f64 -27 (/.f64 y (pow.f64 x 3)))))
(+.f64 (.f64 -3 (/.f64 y x)) (+.f64 (.f64 -9 (/.f64 y (pow.f64 x 2))) (+.f64 (.f64 -27 (/.f64 y (pow.f64 x 3))) (.f64 -81 (/.f64 y (pow.f64 x 4))))))
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) y)) (.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) y)) (.f64 -4/3 (/.f64 x y))))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(+.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) y)) (.f64 -4/3 (/.f64 x y)))
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) y)) (.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) y)) (.f64 -4/3 (/.f64 x y))))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(+.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) y)) (.f64 -4/3 (/.f64 x y)))
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) y)) (.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) y)) (.f64 -4/3 (/.f64 x y))))
(/.f64 (.f64 (+.f64 1 (.f64 -1/3 x)) (-.f64 1 x)) y)
(/.f64 (.f64 (+.f64 1 (.f64 -1/3 x)) (-.f64 1 x)) y)
(/.f64 (.f64 (+.f64 1 (.f64 -1/3 x)) (-.f64 1 x)) y)
(/.f64 (.f64 (+.f64 1 (.f64 -1/3 x)) (-.f64 1 x)) y)
(/.f64 (.f64 (+.f64 1 (.f64 -1/3 x)) (-.f64 1 x)) y)
(/.f64 (.f64 (+.f64 1 (.f64 -1/3 x)) (-.f64 1 x)) y)
(/.f64 (.f64 (+.f64 1 (.f64 -1/3 x)) (-.f64 1 x)) y)
(/.f64 (.f64 (+.f64 1 (.f64 -1/3 x)) (-.f64 1 x)) y)
(/.f64 (.f64 (+.f64 1 (.f64 -1/3 x)) (-.f64 1 x)) y)
(/.f64 (.f64 (+.f64 1 (.f64 -1/3 x)) (-.f64 1 x)) y)
(/.f64 (.f64 (+.f64 1 (.f64 -1/3 x)) (-.f64 1 x)) y)
(/.f64 (.f64 (+.f64 1 (.f64 -1/3 x)) (-.f64 1 x)) y)

Outputs
y
(+.f64 y (.f64 1/3 (.f64 y x)))
(fma.f64 1/3 (*.f64 y x) y)
(fma.f64 y (*.f64 1/3 x) y)
(*.f64 y (fma.f64 1/3 x 1))
(+.f64 y (+.f64 (.f64 1/9 (.f64 y (pow.f64 x 2))) (.f64 1/3 (.f64 y x))))
(+.f64 y (fma.f64 1/9 (.f64 y (.f64 x x)) (.f64 1/3 (.f64 y x))))
(+.f64 y (fma.f64 1/3 (.f64 y x) (.f64 (.f64 x x) (.f64 y 1/9))))
(fma.f64 y (.f64 x (.f64 x 1/9)) (fma.f64 y (*.f64 1/3 x) y))
(fma.f64 y (.f64 x (+.f64 (.f64 x 1/9) 1/3)) y)
(fma.f64 y (.f64 x (+.f64 1/3 (.f64 x 1/9))) y)
(+.f64 y (+.f64 (.f64 1/27 (.f64 y (pow.f64 x 3))) (+.f64 (.f64 1/9 (.f64 y (pow.f64 x 2))) (.f64 1/3 (.f64 y x)))))
(+.f64 y (fma.f64 1/27 (.f64 y (pow.f64 x 3)) (fma.f64 1/9 (.f64 y (.f64 x x)) (.f64 1/3 (*.f64 y x)))))
(+.f64 y (fma.f64 1/27 (.f64 y (pow.f64 x 3)) (fma.f64 1/3 (.f64 y x) (.f64 (.f64 x x) (*.f64 y 1/9)))))
(fma.f64 1/27 (.f64 y (pow.f64 x 3)) (fma.f64 y (.f64 x (.f64 x 1/9)) (fma.f64 y (.f64 1/3 x) y)))
(fma.f64 y (.f64 (.f64 x x) (+.f64 (.f64 x 1/27) 1/9)) (.f64 y (fma.f64 1/3 x 1)))
(+.f64 y (.f64 x (.f64 y (+.f64 1/3 (.f64 x (+.f64 1/9 (.f64 x 1/27)))))))
(*.f64 -3 (/.f64 y x))
(/.f64 y (/.f64 x -3))
(+.f64 (.f64 -3 (/.f64 y x)) (.f64 -9 (/.f64 y (pow.f64 x 2))))
(fma.f64 -3 (/.f64 y x) (.f64 -9 (/.f64 y (.f64 x x))))
(fma.f64 -9 (/.f64 y (.f64 x x)) (.f64 -3 (/.f64 y x)))
(*.f64 (/.f64 y x) (+.f64 (/.f64 -9 x) -3))
(*.f64 (/.f64 y x) (+.f64 -3 (/.f64 -9 x)))
(+.f64 (.f64 -3 (/.f64 y x)) (+.f64 (.f64 -9 (/.f64 y (pow.f64 x 2))) (*.f64 -27 (/.f64 y (pow.f64 x 3)))))
(fma.f64 -3 (/.f64 y x) (fma.f64 -9 (/.f64 y (.f64 x x)) (.f64 -27 (/.f64 y (pow.f64 x 3)))))
(fma.f64 -3 (/.f64 y x) (fma.f64 -9 (/.f64 y (*.f64 x x)) (/.f64 -27 (/.f64 (pow.f64 x 3) y))))
(fma.f64 -27 (/.f64 y (pow.f64 x 3)) (*.f64 (/.f64 y x) (+.f64 (/.f64 -9 x) -3)))
(.f64 (/.f64 y x) (+.f64 (/.f64 -27 (.f64 x x)) (+.f64 -3 (/.f64 -9 x))))
(*.f64 (/.f64 y x) (+.f64 (/.f64 (/.f64 -27 x) x) (+.f64 -3 (/.f64 -9 x))))
(+.f64 (.f64 -3 (/.f64 y x)) (+.f64 (.f64 -9 (/.f64 y (pow.f64 x 2))) (+.f64 (.f64 -27 (/.f64 y (pow.f64 x 3))) (.f64 -81 (/.f64 y (pow.f64 x 4))))))
(fma.f64 -3 (/.f64 y x) (fma.f64 -9 (/.f64 y (.f64 x x)) (fma.f64 -27 (/.f64 y (pow.f64 x 3)) (.f64 -81 (/.f64 y (pow.f64 x 4))))))
(fma.f64 -3 (/.f64 y x) (fma.f64 -9 (/.f64 y (*.f64 x x)) (fma.f64 -81 (/.f64 y (pow.f64 x 4)) (/.f64 -27 (/.f64 (pow.f64 x 3) y)))))
(fma.f64 -3 (/.f64 y x) (fma.f64 -81 (/.f64 y (pow.f64 x 4)) (.f64 (/.f64 y (.f64 x x)) (+.f64 -9 (/.f64 -27 x)))))
(fma.f64 (/.f64 y x) (+.f64 -3 (/.f64 -9 x)) (*.f64 (/.f64 y (pow.f64 x 3)) (+.f64 -27 (/.f64 -81 x))))
(fma.f64 (/.f64 y x) (+.f64 -3 (/.f64 -9 x)) (/.f64 (*.f64 y (+.f64 -27 (/.f64 -81 x))) (pow.f64 x 3)))
(*.f64 -3 (/.f64 y x))
(/.f64 y (/.f64 x -3))
(+.f64 (.f64 -3 (/.f64 y x)) (.f64 -9 (/.f64 y (pow.f64 x 2))))
(fma.f64 -3 (/.f64 y x) (.f64 -9 (/.f64 y (.f64 x x))))
(fma.f64 -9 (/.f64 y (.f64 x x)) (.f64 -3 (/.f64 y x)))
(*.f64 (/.f64 y x) (+.f64 (/.f64 -9 x) -3))
(*.f64 (/.f64 y x) (+.f64 -3 (/.f64 -9 x)))
(+.f64 (.f64 -3 (/.f64 y x)) (+.f64 (.f64 -9 (/.f64 y (pow.f64 x 2))) (*.f64 -27 (/.f64 y (pow.f64 x 3)))))
(fma.f64 -3 (/.f64 y x) (fma.f64 -9 (/.f64 y (.f64 x x)) (.f64 -27 (/.f64 y (pow.f64 x 3)))))
(fma.f64 -3 (/.f64 y x) (fma.f64 -9 (/.f64 y (*.f64 x x)) (/.f64 -27 (/.f64 (pow.f64 x 3) y))))
(fma.f64 -27 (/.f64 y (pow.f64 x 3)) (*.f64 (/.f64 y x) (+.f64 (/.f64 -9 x) -3)))
(.f64 (/.f64 y x) (+.f64 (/.f64 -27 (.f64 x x)) (+.f64 -3 (/.f64 -9 x))))
(*.f64 (/.f64 y x) (+.f64 (/.f64 (/.f64 -27 x) x) (+.f64 -3 (/.f64 -9 x))))
(+.f64 (.f64 -3 (/.f64 y x)) (+.f64 (.f64 -9 (/.f64 y (pow.f64 x 2))) (+.f64 (.f64 -27 (/.f64 y (pow.f64 x 3))) (.f64 -81 (/.f64 y (pow.f64 x 4))))))
(fma.f64 -3 (/.f64 y x) (fma.f64 -9 (/.f64 y (.f64 x x)) (fma.f64 -27 (/.f64 y (pow.f64 x 3)) (.f64 -81 (/.f64 y (pow.f64 x 4))))))
(fma.f64 -3 (/.f64 y x) (fma.f64 -9 (/.f64 y (*.f64 x x)) (fma.f64 -81 (/.f64 y (pow.f64 x 4)) (/.f64 -27 (/.f64 (pow.f64 x 3) y)))))
(fma.f64 -3 (/.f64 y x) (fma.f64 -81 (/.f64 y (pow.f64 x 4)) (.f64 (/.f64 y (.f64 x x)) (+.f64 -9 (/.f64 -27 x)))))
(fma.f64 (/.f64 y x) (+.f64 -3 (/.f64 -9 x)) (*.f64 (/.f64 y (pow.f64 x 3)) (+.f64 -27 (/.f64 -81 x))))
(fma.f64 (/.f64 y x) (+.f64 -3 (/.f64 -9 x)) (/.f64 (*.f64 y (+.f64 -27 (/.f64 -81 x))) (pow.f64 x 3)))
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
(fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) y)) (.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (.f64 x x) y) (.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 x (/.f64 y x)) (/.f64 -4/3 (/.f64 y x))))
(fma.f64 1/3 (/.f64 x (/.f64 y x)) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)))
(+.f64 (/.f64 1 y) (.f64 (/.f64 x y) (+.f64 -4/3 (.f64 1/3 x))))
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) y)) (.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (.f64 x x) y) (.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 x (/.f64 y x)) (/.f64 -4/3 (/.f64 y x))))
(fma.f64 1/3 (/.f64 x (/.f64 y x)) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)))
(+.f64 (/.f64 1 y) (.f64 (/.f64 x y) (+.f64 -4/3 (.f64 1/3 x))))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(.f64 1/3 (.f64 x (/.f64 x y)))
(+.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) y)) (.f64 -4/3 (/.f64 x y)))
(fma.f64 1/3 (/.f64 (.f64 x x) y) (.f64 -4/3 (/.f64 x y)))
(fma.f64 1/3 (/.f64 x (/.f64 y x)) (/.f64 -4/3 (/.f64 y x)))
(fma.f64 1/3 (/.f64 x (/.f64 y x)) (/.f64 x (/.f64 y -4/3)))
(.f64 x (+.f64 (/.f64 -4/3 y) (.f64 (/.f64 1/3 y) x)))
(.f64 (/.f64 x y) (+.f64 -4/3 (.f64 1/3 x)))
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) y)) (.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (.f64 x x) y) (.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 x (/.f64 y x)) (/.f64 -4/3 (/.f64 y x))))
(fma.f64 1/3 (/.f64 x (/.f64 y x)) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)))
(+.f64 (/.f64 1 y) (.f64 (/.f64 x y) (+.f64 -4/3 (.f64 1/3 x))))
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) y)) (.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (.f64 x x) y) (.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 x (/.f64 y x)) (/.f64 -4/3 (/.f64 y x))))
(fma.f64 1/3 (/.f64 x (/.f64 y x)) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)))
(+.f64 (/.f64 1 y) (.f64 (/.f64 x y) (+.f64 -4/3 (.f64 1/3 x))))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(*.f64 1/3 (/.f64 x (/.f64 y x)))
(.f64 1/3 (.f64 x (/.f64 x y)))
(+.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) y)) (.f64 -4/3 (/.f64 x y)))
(fma.f64 1/3 (/.f64 (.f64 x x) y) (.f64 -4/3 (/.f64 x y)))
(fma.f64 1/3 (/.f64 x (/.f64 y x)) (/.f64 -4/3 (/.f64 y x)))
(fma.f64 1/3 (/.f64 x (/.f64 y x)) (/.f64 x (/.f64 y -4/3)))
(.f64 x (+.f64 (/.f64 -4/3 y) (.f64 (/.f64 1/3 y) x)))
(.f64 (/.f64 x y) (+.f64 -4/3 (.f64 1/3 x)))
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) y)) (.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (.f64 x x) y) (.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 x (/.f64 y x)) (/.f64 -4/3 (/.f64 y x))))
(fma.f64 1/3 (/.f64 x (/.f64 y x)) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)))
(+.f64 (/.f64 1 y) (.f64 (/.f64 x y) (+.f64 -4/3 (.f64 1/3 x))))
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) y)) (.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (.f64 x x) y) (.f64 -4/3 (/.f64 x y))))
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 x (/.f64 y x)) (/.f64 -4/3 (/.f64 y x))))
(fma.f64 1/3 (/.f64 x (/.f64 y x)) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)))
(+.f64 (/.f64 1 y) (.f64 (/.f64 x y) (+.f64 -4/3 (.f64 1/3 x))))
(/.f64 (.f64 (+.f64 1 (.f64 -1/3 x)) (-.f64 1 x)) y)
(/.f64 (+.f64 1 (*.f64 x -1/3)) (/.f64 y (-.f64 1 x)))
(*.f64 (/.f64 (fma.f64 x -1/3 1) y) (-.f64 1 x))
(*.f64 (-.f64 1 x) (/.f64 (fma.f64 x -1/3 1) y))
(*.f64 (fma.f64 x -1/3 1) (/.f64 (-.f64 1 x) y))
(/.f64 (.f64 (+.f64 1 (.f64 -1/3 x)) (-.f64 1 x)) y)
(/.f64 (+.f64 1 (*.f64 x -1/3)) (/.f64 y (-.f64 1 x)))
(*.f64 (/.f64 (fma.f64 x -1/3 1) y) (-.f64 1 x))
(*.f64 (-.f64 1 x) (/.f64 (fma.f64 x -1/3 1) y))
(*.f64 (fma.f64 x -1/3 1) (/.f64 (-.f64 1 x) y))
(/.f64 (.f64 (+.f64 1 (.f64 -1/3 x)) (-.f64 1 x)) y)
(/.f64 (+.f64 1 (*.f64 x -1/3)) (/.f64 y (-.f64 1 x)))
(*.f64 (/.f64 (fma.f64 x -1/3 1) y) (-.f64 1 x))
(*.f64 (-.f64 1 x) (/.f64 (fma.f64 x -1/3 1) y))
(*.f64 (fma.f64 x -1/3 1) (/.f64 (-.f64 1 x) y))
(/.f64 (.f64 (+.f64 1 (.f64 -1/3 x)) (-.f64 1 x)) y)
(/.f64 (+.f64 1 (*.f64 x -1/3)) (/.f64 y (-.f64 1 x)))
(*.f64 (/.f64 (fma.f64 x -1/3 1) y) (-.f64 1 x))
(*.f64 (-.f64 1 x) (/.f64 (fma.f64 x -1/3 1) y))
(*.f64 (fma.f64 x -1/3 1) (/.f64 (-.f64 1 x) y))
(/.f64 (.f64 (+.f64 1 (.f64 -1/3 x)) (-.f64 1 x)) y)
(/.f64 (+.f64 1 (*.f64 x -1/3)) (/.f64 y (-.f64 1 x)))
(*.f64 (/.f64 (fma.f64 x -1/3 1) y) (-.f64 1 x))
(*.f64 (-.f64 1 x) (/.f64 (fma.f64 x -1/3 1) y))
(*.f64 (fma.f64 x -1/3 1) (/.f64 (-.f64 1 x) y))
(/.f64 (.f64 (+.f64 1 (.f64 -1/3 x)) (-.f64 1 x)) y)
(/.f64 (+.f64 1 (*.f64 x -1/3)) (/.f64 y (-.f64 1 x)))
(*.f64 (/.f64 (fma.f64 x -1/3 1) y) (-.f64 1 x))
(*.f64 (-.f64 1 x) (/.f64 (fma.f64 x -1/3 1) y))
(*.f64 (fma.f64 x -1/3 1) (/.f64 (-.f64 1 x) y))
(/.f64 (.f64 (+.f64 1 (.f64 -1/3 x)) (-.f64 1 x)) y)
(/.f64 (+.f64 1 (*.f64 x -1/3)) (/.f64 y (-.f64 1 x)))
(*.f64 (/.f64 (fma.f64 x -1/3 1) y) (-.f64 1 x))
(*.f64 (-.f64 1 x) (/.f64 (fma.f64 x -1/3 1) y))
(*.f64 (fma.f64 x -1/3 1) (/.f64 (-.f64 1 x) y))
(/.f64 (.f64 (+.f64 1 (.f64 -1/3 x)) (-.f64 1 x)) y)
(/.f64 (+.f64 1 (*.f64 x -1/3)) (/.f64 y (-.f64 1 x)))
(*.f64 (/.f64 (fma.f64 x -1/3 1) y) (-.f64 1 x))
(*.f64 (-.f64 1 x) (/.f64 (fma.f64 x -1/3 1) y))
(*.f64 (fma.f64 x -1/3 1) (/.f64 (-.f64 1 x) y))
(/.f64 (.f64 (+.f64 1 (.f64 -1/3 x)) (-.f64 1 x)) y)
(/.f64 (+.f64 1 (*.f64 x -1/3)) (/.f64 y (-.f64 1 x)))
(*.f64 (/.f64 (fma.f64 x -1/3 1) y) (-.f64 1 x))
(*.f64 (-.f64 1 x) (/.f64 (fma.f64 x -1/3 1) y))
(*.f64 (fma.f64 x -1/3 1) (/.f64 (-.f64 1 x) y))
(/.f64 (.f64 (+.f64 1 (.f64 -1/3 x)) (-.f64 1 x)) y)
(/.f64 (+.f64 1 (*.f64 x -1/3)) (/.f64 y (-.f64 1 x)))
(*.f64 (/.f64 (fma.f64 x -1/3 1) y) (-.f64 1 x))
(*.f64 (-.f64 1 x) (/.f64 (fma.f64 x -1/3 1) y))
(*.f64 (fma.f64 x -1/3 1) (/.f64 (-.f64 1 x) y))
(/.f64 (.f64 (+.f64 1 (.f64 -1/3 x)) (-.f64 1 x)) y)
(/.f64 (+.f64 1 (*.f64 x -1/3)) (/.f64 y (-.f64 1 x)))
(*.f64 (/.f64 (fma.f64 x -1/3 1) y) (-.f64 1 x))
(*.f64 (-.f64 1 x) (/.f64 (fma.f64 x -1/3 1) y))
(*.f64 (fma.f64 x -1/3 1) (/.f64 (-.f64 1 x) y))
(/.f64 (.f64 (+.f64 1 (.f64 -1/3 x)) (-.f64 1 x)) y)
(/.f64 (+.f64 1 (*.f64 x -1/3)) (/.f64 y (-.f64 1 x)))
(*.f64 (/.f64 (fma.f64 x -1/3 1) y) (-.f64 1 x))
(*.f64 (-.f64 1 x) (/.f64 (fma.f64 x -1/3 1) y))
(*.f64 (fma.f64 x -1/3 1) (/.f64 (-.f64 1 x) y))

prune2.3s (31.7%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	396	3	399
Fresh	3	6	9
Picked	0	1	1
Done	0	1	1
Total	399	11	410

Error

Counts

410 → 11

Alt Table

Status	Error	Program
✓	0.2b	(*.f64 (-.f64 1 x) (/.f64 (fma.f64 x -1/3 1) y))
	0.5b	(+.f64 (fma.f64 1 (/.f64 (fma.f64 x -1/3 1) y) (neg.f64 (.f64 (cbrt.f64 (.f64 x (/.f64 (fma.f64 x -1/3 1) y))) (pow.f64 (cbrt.f64 (.f64 x (/.f64 (fma.f64 x -1/3 1) y))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 x (/.f64 (fma.f64 x -1/3 1) y)))) (pow.f64 (cbrt.f64 (.f64 x (/.f64 (fma.f64 x -1/3 1) y))) 2) (.f64 (cbrt.f64 (.f64 x (/.f64 (fma.f64 x -1/3 1) y))) (pow.f64 (cbrt.f64 (.f64 x (/.f64 (fma.f64 x -1/3 1) y))) 2))))
	11.9b	(*.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) y) (/.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 1 (fma.f64 x -1/3 1))))
✓	0.2b	(/.f64 (-.f64 1 x) (/.f64 y (+.f64 1 (*.f64 -1/3 x))))
	10.1b	(.f64 (sqrt.f64 (-.f64 1 x)) (.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 (fma.f64 x -1/3 1) y)))
	0.4b	(+.f64 (fma.f64 1 (/.f64 (fma.f64 x -1/3 1) y) (neg.f64 (.f64 (/.f64 x (cbrt.f64 (/.f64 y (fma.f64 x -1/3 1)))) (pow.f64 (cbrt.f64 (/.f64 y (fma.f64 x -1/3 1))) -2)))) (fma.f64 (neg.f64 (/.f64 x (cbrt.f64 (/.f64 y (fma.f64 x -1/3 1))))) (pow.f64 (cbrt.f64 (/.f64 y (fma.f64 x -1/3 1))) -2) (.f64 (/.f64 x (cbrt.f64 (/.f64 y (fma.f64 x -1/3 1)))) (pow.f64 (cbrt.f64 (/.f64 y (fma.f64 x -1/3 1))) -2))))
	6.4b	(+.f64 (/.f64 1 y) (+.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) y)) (.f64 -4/3 (/.f64 x y))))
	10.4b	(/.f64 (-.f64 1 x) (/.f64 y (+.f64 1 (fma.f64 (fma.f64 -1/27 (pow.f64 x 3) 1) (/.f64 1 (fma.f64 (*.f64 -1/3 x) (fma.f64 -1/3 x -1) 1)) -1))))
	9.9b	(/.f64 (.f64 (/.f64 (fma.f64 x -1/3 1) y) (-.f64 1 (.f64 x x))) (+.f64 x 1))
	0.2b	(/.f64 (-.f64 1 x) (*.f64 y (/.f64 1 (fma.f64 x -1/3 1))))
	47.3b	(+.f64 (.f64 (fma.f64 -1/3 x 1) (/.f64 (-.f64 1 x) y)) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 y (fma.f64 -1/3 x 1))))) (/.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 y (fma.f64 -1/3 x 1)))) (.f64 x (/.f64 (fma.f64 -1/3 x 1) y))))

Compiler

Compiled 18163 to 12095 computations (33.4% saved)

regimes82.0ms (1.1%)

Accuracy

Total -52.6b remaining (-32701%)

Threshold costs -52.6b (-32701%)

Counts

23 → 1

Calls

Call 1

Inputs
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) y)) (.f64 -4/3 (/.f64 x y))))
(/.f64 (-.f64 1 x) (/.f64 y (+.f64 1 (fma.f64 (fma.f64 -1/27 (pow.f64 x 3) 1) (/.f64 1 (fma.f64 (*.f64 -1/3 x) (fma.f64 -1/3 x -1) 1)) -1))))
(+.f64 (.f64 (fma.f64 -1/3 x 1) (/.f64 (-.f64 1 x) y)) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 y (fma.f64 -1/3 x 1))))) (/.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 y (fma.f64 -1/3 x 1)))) (.f64 x (/.f64 (fma.f64 -1/3 x 1) y))))
(+.f64 (fma.f64 1 (/.f64 (fma.f64 x -1/3 1) y) (neg.f64 (.f64 (cbrt.f64 (.f64 x (/.f64 (fma.f64 x -1/3 1) y))) (pow.f64 (cbrt.f64 (.f64 x (/.f64 (fma.f64 x -1/3 1) y))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 x (/.f64 (fma.f64 x -1/3 1) y)))) (pow.f64 (cbrt.f64 (.f64 x (/.f64 (fma.f64 x -1/3 1) y))) 2) (.f64 (cbrt.f64 (.f64 x (/.f64 (fma.f64 x -1/3 1) y))) (pow.f64 (cbrt.f64 (.f64 x (/.f64 (fma.f64 x -1/3 1) y))) 2))))
(+.f64 (/.f64 1 y) (+.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) y)) (.f64 -4/3 (/.f64 x y))))
(/.f64 (-.f64 1 x) (/.f64 y (/.f64 (+.f64 (.f64 -1/27 (pow.f64 x 3)) 1) (+.f64 (pow.f64 (.f64 x -1/3) 2) (-.f64 1 (.f64 (.f64 x -1/3) 1))))))
(+.f64 (fma.f64 1 (/.f64 (fma.f64 x -1/3 1) y) (neg.f64 (.f64 (/.f64 x (cbrt.f64 (/.f64 y (fma.f64 x -1/3 1)))) (pow.f64 (cbrt.f64 (/.f64 y (fma.f64 x -1/3 1))) -2)))) (fma.f64 (neg.f64 (/.f64 x (cbrt.f64 (/.f64 y (fma.f64 x -1/3 1))))) (pow.f64 (cbrt.f64 (/.f64 y (fma.f64 x -1/3 1))) -2) (.f64 (/.f64 x (cbrt.f64 (/.f64 y (fma.f64 x -1/3 1)))) (pow.f64 (cbrt.f64 (/.f64 y (fma.f64 x -1/3 1))) -2))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) y) (/.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 1 (fma.f64 x -1/3 1))))
(/.f64 (-.f64 1 x) (/.f64 y (+.f64 1 (*.f64 -1/3 x))))
(.f64 (sqrt.f64 (-.f64 1 x)) (.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 (fma.f64 x -1/3 1) y)))
(+.f64 (.f64 (fma.f64 x -1/3 1) (/.f64 (-.f64 1 x) y)) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 y (fma.f64 x -1/3 1))))) (/.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 y (fma.f64 x -1/3 1)))) (.f64 x (/.f64 (fma.f64 x -1/3 1) y))))
(/.f64 (-.f64 1 x) (*.f64 y (/.f64 1 (fma.f64 x -1/3 1))))
(.f64 (-.f64 1 x) (.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) -1) (pow.f64 (/.f64 (cbrt.f64 y) (fma.f64 x -1/3 1)) -1)))
(/.f64 (.f64 (/.f64 (fma.f64 x -1/3 1) y) (-.f64 1 (.f64 x x))) (+.f64 x 1))
(*.f64 (fma.f64 -1/3 x 1) (/.f64 (-.f64 1 x) y))
(/.f64 (-.f64 1 x) (/.f64 y (fma.f64 x -1/3 1)))
(*.f64 (-.f64 1 x) (/.f64 (fma.f64 x -1/3 1) y))
(-.f64 (/.f64 1 (.f64 3 (/.f64 y (-.f64 3 x)))) (/.f64 x (.f64 3 (/.f64 y (-.f64 3 x)))))
(.f64 (.f64 (-.f64 3 x) 1/3) (/.f64 (-.f64 1 x) y))
(*.f64 (/.f64 (-.f64 1 x) 3) (/.f64 (-.f64 3 x) y))
(/.f64 (fma.f64 x (+.f64 x -4) 3) (*.f64 y 3))
(*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y))
(/.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) (.f64 y 3))

Outputs
(/.f64 (-.f64 1 x) (/.f64 y (+.f64 1 (*.f64 -1/3 x))))

Results

12.0ms	0.2b	`x`
12.0ms	0.2b	`y`
13.0ms	0.2b	`(/.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) (.f64 y 3))`
5.0ms	0.2b	`(*.f64 (-.f64 1 x) (-.f64 3 x))`
12.0ms	0.2b	`(*.f64 y 3)`
12.0ms	0.2b	`(*.f64 y 3)`

Compiler

Compiled 549 to 402 computations (26.8% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

3×	`+-commutative_binary64`
2×	`*-commutative_binary64`
2×	`sub-neg_binary64`
1×	`neg-sub0_binary64`
1×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	16
1	16	16
2	20	16
3	22	16
4	23	16

Stop Event

1×

saturated

Calls

Call 1

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

Outputs
(/.f64 (-.f64 1 x) (/.f64 y (+.f64 1 (*.f64 -1/3 x))))
(/.f64 (-.f64 1 x) (/.f64 y (+.f64 1 (*.f64 x -1/3))))

end18.0ms (0.3%)

Stop Event

1×

fuel

Compiler

Compiled 26 to 20 computations (23.1% saved)

Details

analyze78.0ms (1.1%)

sample1.0s (14%)

preprocess46.0ms (0.6%)

simplify40.0ms (0.6%)

prune3.0ms (0%)

localize6.0ms (0.1%)

series7.0ms (0.1%)

rewrite69.0ms (1%)

simplify44.0ms (0.6%)

prune282.0ms (3.9%)

localize6.0ms (0.1%)

series10.0ms (0.1%)

rewrite66.0ms (0.9%)

simplify70.0ms (1%)

prune765.0ms (10.7%)

localize7.0ms (0.1%)

series6.0ms (0.1%)

rewrite140.0ms (2%)

simplify70.0ms (1%)

prune1.8s (25.7%)

localize6.0ms (0.1%)

series7.0ms (0.1%)

rewrite153.0ms (2.1%)

simplify71.0ms (1%)

prune2.3s (31.7%)

regimes82.0ms (1.1%)

simplify3.0ms (0%)

end18.0ms (0.3%)

Profiling