Details

analyze68.0ms (0.6%)

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)

sample998.0ms (9.3%)

Results

908.0ms	8256×	body	256	valid
75.0ms	676×	body	256	invalid

preprocess63.0ms (0.6%)

Algorithm

2×	egg-herbie

Rules

620×	`fma-def_binary64`
612×	`fma-neg_binary64`
500×	`div-sub_binary64`
478×	`distribute-rgt-in_binary64`
460×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	32
1	41	32
2	133	32
3	393	32
4	1405	32
5	6450	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 3 x) (/.f64 3 (/.f64 (-.f64 1 x) y)))
(.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) (.f64 3 y)))
(/.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 3 y) x) (/.f64 (-.f64 1 y) 3))
(*.f64 (/.f64 (-.f64 3 y) x) (-.f64 1/3 (/.f64 y 3)))
(.f64 (-.f64 1 y) (.f64 (-.f64 3 y) (/.f64 1/3 x)))
(.f64 (-.f64 1 y) (/.f64 (-.f64 3 y) (.f64 x 3)))

Compiler

Compiled 15 to 12 computations (20% saved)

simplify56.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

420×	`unsub-neg_binary64`
339×	`associate-/l*_binary64`
308×	`fma-def_binary64`
306×	`fma-neg_binary64`
295×	`associate-*l/_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	10	16
1	24	16
2	71	16
3	204	16
4	732	16
5	3323	14
6	7935	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) y) (-.f64 1 (/.f64 x 3)))
(*.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))

eval1.0ms (0%)

Compiler: Compiled 23 to 17 computations (26.1% saved)

prune1.0ms (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

6.9b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	7.0b	(/.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) (.f64 y 3))
▶	7.1b	(*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y))

Compiler

Compiled 25 to 19 computations (24% saved)

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 1/3 y)
✓	6.5b	(*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y))

Compiler

Compiled 29 to 20 computations (31% saved)

series7.0ms (0.1%)

Counts

2 → 24

Calls

9 calls:

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

rewrite73.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

554×	`unpow-prod-down_binary64`
459×	`log-prod_binary64`
355×	`exp-prod_binary64`
278×	`pow2_binary64`
256×	`pow-prod-down_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	18
1	221	18
2	2708	18

Stop Event

1×	node limit

Counts

2 → 84

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 x (+.f64 x -4)) (/.f64 1/3 y)) (.f64 3 (/.f64 1/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 1/3 y) (.f64 x (+.f64 x -4))) (.f64 (/.f64 1/3 y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 1/3 y)) (fma.f64 x (+.f64 x -4) 3))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 1/3 y)) (fma.f64 x (+.f64 x -4) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 1/3 y)) (fma.f64 x (+.f64 x -4) 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 1/3 y)) (fma.f64 x (+.f64 x -4) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x (+.f64 x -4) 3) (.f64 y 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (.f64 (fma.f64 x (+.f64 x -4) 3) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (fma.f64 x (+.f64 x -4) 3) 1/3) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 (fma.f64 x (+.f64 x -4) 3) 1/3)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 (fma.f64 x (+.f64 x -4) 3) 1/3) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 (fma.f64 x (+.f64 x -4) 3) 1/3) (cbrt.f64 (.f64 y y))) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 (fma.f64 x (+.f64 x -4) 3) 1/3) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 -1/3 (fma.f64 x (+.f64 x -4) 3)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (fma.f64 x (+.f64 x -4) 3) -1/3) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (.f64 (fma.f64 x (+.f64 x -4) 3) 1/3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y)))) 2)) (cbrt.f64 (log.f64 (.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y))))) (sqrt.f64 (log.f64 (.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 1/3 y)) (fma.f64 x (+.f64 x -4) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 (.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1/3 y) (.f64 x (+.f64 x -4)) (.f64 (/.f64 1/3 y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x (+.f64 x -4)) (/.f64 1/3 y) (.f64 3 (/.f64 1/3 y)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1/3 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1/3 y))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1/3 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1/3 y)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1/3 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1/3 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/3 (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/3 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 1/3 y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 1/3 y)) (pow.f64 (cbrt.f64 (/.f64 1/3 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 1/3 y)) 2) (cbrt.f64 (/.f64 1/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 1/3 y)) (sqrt.f64 (/.f64 1/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1/3 (/.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1/3 (pow.f64 (/.f64 1 (neg.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 y) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/3) (/.f64 1/3 y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 1/3 y) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 1/3 y) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 (.f64 1/9 (pow.f64 y -2)) 1/3) 1/3) (cbrt.f64 (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (.f64 (/.f64 1/3 y) (cbrt.f64 (/.f64 1/3 y))) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 1/3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (/.f64 1/3 y) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (/.f64 1/3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 1/3) 3) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 1/3 y))) 2) 3) (cbrt.f64 (/.f64 1/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 1/3 y))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 1/3 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 1/3) 2) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 y 3)) 2) -1) (cbrt.f64 (/.f64 1/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/3 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 1/9 (pow.f64 y -2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1/3 y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1/3 y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 1/3 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 y 3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (/.f64 1/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (.f64 y 3) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 1/3 y))) 2)) (cbrt.f64 (log.f64 (/.f64 1/3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 1/3 y)))) (sqrt.f64 (log.f64 (/.f64 1/3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 1/9 (pow.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1/3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1/3 y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 1/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 1/3 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 1/3 y))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (/.f64 1/3 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (/.f64 1/3 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 y 3)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (/.f64 1/3 y)) 1) 1))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (+.f64 x -4)) (/.f64 1/3 y)) (*.f64 3 (/.f64 1/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1/3 y) (*.f64 x (+.f64 x -4))) (*.f64 (/.f64 1/3 y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 1/3 y)) (fma.f64 x (+.f64 x -4) 3))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 1/3 y)) (fma.f64 x (+.f64 x -4) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 1/3 y)) (fma.f64 x (+.f64 x -4) 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 1/3 y)) (fma.f64 x (+.f64 x -4) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x (+.f64 x -4) 3) (*.f64 y 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 (fma.f64 x (+.f64 x -4) 3) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x (+.f64 x -4) 3) 1/3) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (fma.f64 x (+.f64 x -4) 3) 1/3)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (fma.f64 x (+.f64 x -4) 3) 1/3) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (fma.f64 x (+.f64 x -4) 3) 1/3) (cbrt.f64 (*.f64 y y))) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (fma.f64 x (+.f64 x -4) 3) 1/3) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/3 (fma.f64 x (+.f64 x -4) 3)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x (+.f64 x -4) 3) -1/3) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (*.f64 (fma.f64 x (+.f64 x -4) 3) 1/3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y)))) 2)) (cbrt.f64 (log.f64 (*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y))))) (sqrt.f64 (log.f64 (*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 1/3 y)) (fma.f64 x (+.f64 x -4) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1/3 y) (*.f64 x (+.f64 x -4)) (*.f64 (/.f64 1/3 y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (+.f64 x -4)) (/.f64 1/3 y) (*.f64 3 (/.f64 1/3 y)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1/3 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1/3 y))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1/3 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1/3 y)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1/3 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1/3 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1/3 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/3 y)) (pow.f64 (cbrt.f64 (/.f64 1/3 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 1/3 y)) 2) (cbrt.f64 (/.f64 1/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 1/3 y)) (sqrt.f64 (/.f64 1/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/3 (/.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/3 (pow.f64 (/.f64 1 (neg.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (/.f64 1/3 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 1/3 y) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 1/3 y) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (*.f64 1/9 (pow.f64 y -2)) 1/3) 1/3) (cbrt.f64 (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 1/3 y) (cbrt.f64 (/.f64 1/3 y))) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 1/3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (/.f64 1/3 y) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (/.f64 1/3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 1/3) 3) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 1/3 y))) 2) 3) (cbrt.f64 (/.f64 1/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 1/3 y))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 1/3 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 1/3) 2) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 y 3)) 2) -1) (cbrt.f64 (/.f64 1/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/3 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/9 (pow.f64 y -2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1/3 y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1/3 y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 1/3 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y 3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (/.f64 1/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 y 3) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 1/3 y))) 2)) (cbrt.f64 (log.f64 (/.f64 1/3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 1/3 y)))) (sqrt.f64 (log.f64 (/.f64 1/3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/9 (pow.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1/3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1/3 y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 1/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 1/3 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 1/3 y))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 1/3 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 1/3 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 y 3)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 1/3 y)) 1) 1))))))

simplify120.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1096×	`fma-def_binary64`
503×	`distribute-neg-frac_binary64`
359×	`associate-/l*_binary64`
350×	`*-commutative_binary64`
340×	`associate-*l/_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	23	485
1	50	483
2	94	447
3	178	447
4	451	270
5	1511	270
6	3867	270
7	5694	270
8	5914	270
9	6202	270
10	6545	270
11	7347	270

Stop Event

1×	node limit

Counts

108 → 94

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

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

localize15.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	6.5b	(/.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) (.f64 y 3))

Compiler

Compiled 33 to 23 computations (30.3% saved)

series4.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite69.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	16
1	224	16
2	3285	16

Stop Event

1×	node limit

Counts

1 → 61

Calls

Call 1

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

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

Outputs

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

simplify56.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

753×	`unsub-neg_binary64`
712×	`fma-def_binary64`
334×	`distribute-neg-out_binary64`
331×	`distribute-rgt-neg-out_binary64`
309×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	22	401
1	49	399
2	110	387
3	320	387
4	1147	343
5	4526	343

Stop Event

1×	node limit

Counts

85 → 72

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))

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

eval55.0ms (0.5%)

Compiler: Compiled 2499 to 1905 computations (23.8% saved)

prune40.0ms (0.4%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	157	9	166
Fresh	0	0	0
Picked	0	1	1
Done	1	0	1
Total	158	10	168

Error

Counts

168 → 10

Alt Table

Click to see full alt table

Status	Error	Program
	42.0b	(.f64 (/.f64 x y) (+.f64 -4/3 (.f64 x 1/3)))
	48.9b	(.f64 (.f64 x x) (/.f64 1/3 y))
▶	0.4b	(*.f64 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))) 1/3)
▶	0.2b	(-.f64 (/.f64 1 (.f64 3 (/.f64 y (-.f64 3 x)))) (/.f64 x (.f64 3 (/.f64 y (-.f64 3 x)))))
✓	7.0b	(/.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) (.f64 y 3))
	0.3b	(.f64 (/.f64 (-.f64 1 x) (.f64 3 y)) (-.f64 3 x))
▶	42.2b	(.f64 (/.f64 x y) (.f64 x 1/3))
	0.4b	(*.f64 (/.f64 (-.f64 3 x) y) (/.f64 (-.f64 1 x) 3))
▶	20.3b	(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
▶	20.3b	(/.f64 1 y)

Compiler

Compiled 223 to 166 computations (25.6% saved)

localize48.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 58 to 41 computations (29.3% saved)

series32.0ms (0.3%)

Counts

4 → 72

Calls

24 calls:

Time	Variable		Point	Expression
4.0ms	y	@	0	(*.f64 3 (/.f64 y (-.f64 3 x)))
4.0ms	y	@	inf	(*.f64 3 (/.f64 y (-.f64 3 x)))
2.0ms	y	@	0	(/.f64 x (*.f64 3 (/.f64 y (-.f64 3 x))))
1.0ms	y	@	inf	(/.f64 x (*.f64 3 (/.f64 y (-.f64 3 x))))
1.0ms	x	@	inf	(*.f64 3 (/.f64 y (-.f64 3 x)))

rewrite132.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

572×	`log-prod_binary64`
308×	`pow-prod-down_binary64`
286×	`pow2_binary64`
212×	`log-div_binary64`
199×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	40
1	225	40
2	3127	40

Stop Event

1×	node limit

Counts

4 → 189

Calls

Call 1

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

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

simplify107.0ms (1%)

Algorithm

1×	egg-herbie

Rules

497×	`distribute-rgt-out_binary64`
476×	`associate-l_binary64`
456×	`associate-/r/_binary64`
364×	`fma-def_binary64`
331×	`associate-r_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	77	1018
1	211	1016
2	542	959
3	1683	938
4	5342	913

Stop Event

1×	node limit

Counts

261 → 232

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

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

localize7.0ms (0.1%)

Compiler: Compiled 7 to 5 computations (28.6% saved)

localize15.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (/.f64 x y) (.f64 x 1/3))
✓	0.3b	(*.f64 x 1/3)

Compiler

Compiled 18 to 9 computations (50% saved)

series16.0ms (0.2%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
6.0ms	x	@	0	(.f64 (/.f64 x y) (.f64 x 1/3))
2.0ms	x	@	0	(*.f64 x 1/3)
2.0ms	y	@	0	(.f64 (/.f64 x y) (.f64 x 1/3))
1.0ms	y	@	inf	(.f64 (/.f64 x y) (.f64 x 1/3))
1.0ms	x	@	inf	(.f64 (/.f64 x y) (.f64 x 1/3))

rewrite88.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

781×	`pow1_binary64`
724×	`add-log-exp_binary64`
724×	`log1p-expm1-u_binary64`
724×	`expm1-log1p-u_binary64`
708×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	14
1	149	14
2	1937	14

Stop Event

1×	node limit

Counts

2 → 34

Calls

Call 1

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

Outputs

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

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

simplify172.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

771×	`sqr-pow_binary64`
562×	`associate-l_binary64`
474×	`*-commutative_binary64`
416×	`unswap-sqr_binary64`
366×	`associate-*l/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	288
1	18	288
2	32	288
3	62	288
4	178	288
5	664	288
6	2471	288
7	3898	288
8	4054	288
9	4264	288
10	4482	288
11	4808	288
12	5204	288
13	5814	288
14	6530	288
15	7338	288

Stop Event

1×	node limit

Counts

70 → 37

Calls

Call 1

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

Outputs
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(/.f64 (.f64 (.f64 1/3 x) x) y)
(.f64 1/3 (.f64 (/.f64 x y) x))
(.f64 1/3 (.f64 x (/.f64 x y)))
(/.f64 (.f64 x (.f64 1/3 x)) y)
(/.f64 1/3 (/.f64 (/.f64 y x) x))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(/.f64 (.f64 (.f64 1/3 x) x) y)
(.f64 1/3 (.f64 (/.f64 x y) x))
(.f64 1/3 (.f64 x (/.f64 x y)))
(/.f64 (.f64 x (.f64 1/3 x)) y)
(/.f64 1/3 (/.f64 (/.f64 y x) x))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(/.f64 (.f64 (.f64 1/3 x) x) y)
(.f64 1/3 (.f64 (/.f64 x y) x))
(.f64 1/3 (.f64 x (/.f64 x y)))
(/.f64 (.f64 x (.f64 1/3 x)) y)
(/.f64 1/3 (/.f64 (/.f64 y x) x))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(/.f64 (.f64 (.f64 1/3 x) x) y)
(.f64 1/3 (.f64 (/.f64 x y) x))
(.f64 1/3 (.f64 x (/.f64 x y)))
(/.f64 (.f64 x (.f64 1/3 x)) y)
(/.f64 1/3 (/.f64 (/.f64 y x) x))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(/.f64 (.f64 (.f64 1/3 x) x) y)
(.f64 1/3 (.f64 (/.f64 x y) x))
(.f64 1/3 (.f64 x (/.f64 x y)))
(/.f64 (.f64 x (.f64 1/3 x)) y)
(/.f64 1/3 (/.f64 (/.f64 y x) x))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(/.f64 (.f64 (.f64 1/3 x) x) y)
(.f64 1/3 (.f64 (/.f64 x y) x))
(.f64 1/3 (.f64 x (/.f64 x y)))
(/.f64 (.f64 x (.f64 1/3 x)) y)
(/.f64 1/3 (/.f64 (/.f64 y x) x))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(/.f64 (.f64 (.f64 1/3 x) x) y)
(.f64 1/3 (.f64 (/.f64 x y) x))
(.f64 1/3 (.f64 x (/.f64 x y)))
(/.f64 (.f64 x (.f64 1/3 x)) y)
(/.f64 1/3 (/.f64 (/.f64 y x) x))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(/.f64 (.f64 (.f64 1/3 x) x) y)
(.f64 1/3 (.f64 (/.f64 x y) x))
(.f64 1/3 (.f64 x (/.f64 x y)))
(/.f64 (.f64 x (.f64 1/3 x)) y)
(/.f64 1/3 (/.f64 (/.f64 y x) x))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(/.f64 (.f64 (.f64 1/3 x) x) y)
(.f64 1/3 (.f64 (/.f64 x y) x))
(.f64 1/3 (.f64 x (/.f64 x y)))
(/.f64 (.f64 x (.f64 1/3 x)) y)
(/.f64 1/3 (/.f64 (/.f64 y x) x))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(/.f64 (.f64 (.f64 1/3 x) x) y)
(.f64 1/3 (.f64 (/.f64 x y) x))
(.f64 1/3 (.f64 x (/.f64 x y)))
(/.f64 (.f64 x (.f64 1/3 x)) y)
(/.f64 1/3 (/.f64 (/.f64 y x) x))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(/.f64 (.f64 (.f64 1/3 x) x) y)
(.f64 1/3 (.f64 (/.f64 x y) x))
(.f64 1/3 (.f64 x (/.f64 x y)))
(/.f64 (.f64 x (.f64 1/3 x)) y)
(/.f64 1/3 (/.f64 (/.f64 y x) x))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(/.f64 (.f64 (.f64 1/3 x) x) y)
(.f64 1/3 (.f64 (/.f64 x y) x))
(.f64 1/3 (.f64 x (/.f64 x y)))
(/.f64 (.f64 x (.f64 1/3 x)) y)
(/.f64 1/3 (/.f64 (/.f64 y x) x))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(/.f64 (.f64 (.f64 1/3 x) x) y)
(.f64 1/3 (.f64 (/.f64 x y) x))
(.f64 1/3 (.f64 x (/.f64 x y)))
(/.f64 (.f64 x (.f64 1/3 x)) y)
(/.f64 1/3 (/.f64 (/.f64 y x) x))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(/.f64 (.f64 (.f64 1/3 x) x) y)
(.f64 1/3 (.f64 (/.f64 x y) x))
(.f64 1/3 (.f64 x (/.f64 x y)))
(/.f64 (.f64 x (.f64 1/3 x)) y)
(/.f64 1/3 (/.f64 (/.f64 y x) x))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(/.f64 (.f64 (.f64 1/3 x) x) y)
(.f64 1/3 (.f64 (/.f64 x y) x))
(.f64 1/3 (.f64 x (/.f64 x y)))
(/.f64 (.f64 x (.f64 1/3 x)) y)
(/.f64 1/3 (/.f64 (/.f64 y x) x))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(/.f64 (.f64 (.f64 1/3 x) x) y)
(.f64 1/3 (.f64 (/.f64 x y) x))
(.f64 1/3 (.f64 x (/.f64 x y)))
(/.f64 (.f64 x (.f64 1/3 x)) y)
(/.f64 1/3 (/.f64 (/.f64 y x) x))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(/.f64 (.f64 (.f64 1/3 x) x) y)
(.f64 1/3 (.f64 (/.f64 x y) x))
(.f64 1/3 (.f64 x (/.f64 x y)))
(/.f64 (.f64 x (.f64 1/3 x)) y)
(/.f64 1/3 (/.f64 (/.f64 y x) x))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(/.f64 (.f64 (.f64 1/3 x) x) y)
(.f64 1/3 (.f64 (/.f64 x y) x))
(.f64 1/3 (.f64 x (/.f64 x y)))
(/.f64 (.f64 x (.f64 1/3 x)) y)
(/.f64 1/3 (/.f64 (/.f64 y x) x))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(/.f64 (.f64 (.f64 1/3 x) x) y)
(.f64 1/3 (.f64 (/.f64 x y) x))
(.f64 1/3 (.f64 x (/.f64 x y)))
(/.f64 (.f64 x (.f64 1/3 x)) y)
(/.f64 1/3 (/.f64 (/.f64 y x) x))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(/.f64 (.f64 (.f64 1/3 x) x) y)
(.f64 1/3 (.f64 (/.f64 x y) x))
(.f64 1/3 (.f64 x (/.f64 x y)))
(/.f64 (.f64 x (.f64 1/3 x)) y)
(/.f64 1/3 (/.f64 (/.f64 y x) x))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(/.f64 (.f64 (.f64 1/3 x) x) y)
(.f64 1/3 (.f64 (/.f64 x y) x))
(.f64 1/3 (.f64 x (/.f64 x y)))
(/.f64 (.f64 x (.f64 1/3 x)) y)
(/.f64 1/3 (/.f64 (/.f64 y x) x))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(/.f64 (.f64 (.f64 1/3 x) x) y)
(.f64 1/3 (.f64 (/.f64 x y) x))
(.f64 1/3 (.f64 x (/.f64 x y)))
(/.f64 (.f64 x (.f64 1/3 x)) y)
(/.f64 1/3 (/.f64 (/.f64 y x) x))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(/.f64 (.f64 (.f64 1/3 x) x) y)
(.f64 1/3 (.f64 (/.f64 x y) x))
(.f64 1/3 (.f64 x (/.f64 x y)))
(/.f64 (.f64 x (.f64 1/3 x)) y)
(/.f64 1/3 (/.f64 (/.f64 y x) x))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(/.f64 (.f64 (.f64 1/3 x) x) y)
(.f64 1/3 (.f64 (/.f64 x y) x))
(.f64 1/3 (.f64 x (/.f64 x y)))
(/.f64 (.f64 x (.f64 1/3 x)) y)
(/.f64 1/3 (/.f64 (/.f64 y x) x))

localize21.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
✓	0.3b	(*.f64 -4/3 (/.f64 x y))

Compiler

Compiled 26 to 14 computations (46.2% saved)

series16.0ms (0.1%)

Counts

2 → 15

Calls

12 calls:

Time	Variable		Point	Expression
6.0ms	x	@	0	(*.f64 -4/3 (/.f64 x y))
1.0ms	y	@	inf	(*.f64 -4/3 (/.f64 x y))
1.0ms	y	@	0	(*.f64 -4/3 (/.f64 x y))
1.0ms	x	@	inf	(*.f64 -4/3 (/.f64 x y))
1.0ms	x	@	-inf	(*.f64 -4/3 (/.f64 x y))

rewrite115.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

912×	`prod-diff_binary64`
454×	`log-prod_binary64`
279×	`pow-prod-down_binary64`
253×	`fma-def_binary64`
246×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	20
1	195	18
2	2671	18

Stop Event

1×	node limit

Counts

2 → 91

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (*.f64 -4/3 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (*.f64 -4/3 x) y))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (*.f64 -4/3 x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (*.f64 -4/3 x) y)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (*.f64 -4/3 x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 -4/3 x) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -4/3 (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 -4/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -4/3 x) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 -4/3 x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -4/3 x) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -4/3 x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -4/3 x) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) -4/3) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -4/3 (neg.f64 x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 -4/3 x) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 -4/3 x) y) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 -4/3 x) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (*.f64 -4/3 x) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 -4/3 x) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (*.f64 -4/3 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (*.f64 -4/3 x) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (*.f64 -4/3 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 -4/3 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 -4/3 x) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (*.f64 -4/3 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 -4/3 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (*.f64 -4/3 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 -4/3 x) y)) 1))))))

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

simplify55.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

262×	`fma-def_binary64`
237×	`fma-neg_binary64`
69×	`cancel-sign-sub-inv_binary64`
53×	`associate-/l*_binary64`
49×	`associate-l_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	138
1	33	114
2	57	114
3	95	114
4	176	114
5	350	114
6	724	114
7	1145	114
8	1318	114
9	1351	114
10	1407	114

Stop Event

1×

saturated

Counts

106 → 97

Calls

Call 1

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

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

localize32.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(/.f64 y (-.f64 3 x))
✓	0.2b	(/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x)))
✓	0.4b	(*.f64 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))) 1/3)

Compiler

Compiled 38 to 26 computations (31.6% saved)

series10.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite185.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

641×	`log-prod_binary64`
511×	`prod-diff_binary64`
327×	`pow2_binary64`
294×	`egg-rr`
228×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	29
1	250	29
2	3545	29

Stop Event

1×	node limit

Counts

2 → 322

Calls

Call 1

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

Outputs

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simplify73.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

765×	`unsub-neg_binary64`
759×	`fma-def_binary64`
350×	`distribute-rgt-neg-out_binary64`
342×	`distribute-neg-out_binary64`
325×	`fma-neg_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	31	736
1	75	732
2	148	720
3	363	688
4	1227	632
5	4738	632

Stop Event

1×	node limit

Counts

370 → 344

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

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

eval578.0ms (5.4%)

Compiler: Compiled 26558 to 18531 computations (30.2% saved)

prune198.0ms (1.9%)

Pruning

18 alts after pruning (15 fresh and 3 done)

	Pruned	Kept	Total
New	878	12	890
Fresh	1	3	4
Picked	1	0	1
Done	2	3	5
Total	882	18	900

Error

Counts

900 → 18

Alt Table

Click to see full alt table

Status	Error	Program
	20.3b	(/.f64 (+.f64 1 (*.f64 -4/3 x)) y)
	48.9b	(.f64 (.f64 x x) (/.f64 1/3 y))
	20.6b	(.f64 (/.f64 (-.f64 1 x) (.f64 y 1/3)) 1/3)
✓	42.2b	(.f64 (/.f64 x y) (.f64 x 1/3))
	42.2b	(/.f64 1/3 (/.f64 (/.f64 y x) x))
▶	42.0b	(.f64 (.f64 (/.f64 x y) (+.f64 x -4)) 1/3)
	1.4b	(-.f64 (/.f64 1 y) (/.f64 x (*.f64 3 (/.f64 y (-.f64 3 x)))))
	0.4b	(*.f64 (/.f64 (-.f64 3 x) y) (/.f64 (-.f64 1 x) 3))
	20.6b	(*.f64 (/.f64 3 y) 1/3)
✓	20.3b	(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
	42.0b	(.f64 (/.f64 x y) (+.f64 -4/3 (.f64 x 1/3)))
▶	42.2b	(/.f64 x (/.f64 y (*.f64 x 1/3)))
▶	42.2b	(.f64 x (.f64 x (/.f64 1/3 y)))
▶	0.3b	(.f64 (/.f64 (-.f64 1 x) (.f64 3 y)) (-.f64 3 x))
	61.3b	(*.f64 x (/.f64 -4/3 y))
▶	61.3b	(*.f64 -4/3 (/.f64 x y))
✓	20.3b	(/.f64 1 y)
	42.2b	(/.f64 (*.f64 x 1/3) (/.f64 y x))

Compiler

Compiled 323 to 236 computations (26.9% saved)

localize14.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (-.f64 1 x) (*.f64 3 y))
✓	0.3b	(.f64 (/.f64 (-.f64 1 x) (.f64 3 y)) (-.f64 3 x))

Compiler

Compiled 33 to 23 computations (30.3% saved)

series7.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite93.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

578×	`log-prod_binary64`
389×	`pow-prod-down_binary64`
298×	`pow2_binary64`
278×	`prod-diff_binary64`
209×	`log-div_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	26
1	223	26
2	3210	26

Stop Event

1×	node limit

Counts

2 → 153

Calls

Call 1

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

Outputs

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

simplify101.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

873×	`unsub-neg_binary64`
792×	`fma-def_binary64`
403×	`distribute-rgt-in_binary64`
380×	`distribute-lft-in_binary64`
377×	`fma-neg_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	30	650
1	68	648
2	141	636
3	359	549
4	1279	529
5	5360	529

Stop Event

1×	node limit

Counts

201 → 170

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

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

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.3b	(*.f64 -4/3 (/.f64 x y))

Compiler

Compiled 13 to 6 computations (53.8% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 x (.f64 x (/.f64 1/3 y)))
✓	0.2b	(*.f64 x (/.f64 1/3 y))
	0.3b	(/.f64 1/3 y)

Compiler

Compiled 20 to 12 computations (40% saved)

series32.0ms (0.3%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
27.0ms	y	@	0	(.f64 x (.f64 x (/.f64 1/3 y)))
1.0ms	y	@	inf	(*.f64 x (/.f64 1/3 y))
1.0ms	x	@	0	(*.f64 x (/.f64 1/3 y))
1.0ms	x	@	-inf	(*.f64 x (/.f64 1/3 y))
1.0ms	y	@	-inf	(*.f64 x (/.f64 1/3 y))

rewrite61.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

724×	`pow1_binary64`
671×	`add-log-exp_binary64`
671×	`log1p-expm1-u_binary64`
671×	`expm1-log1p-u_binary64`
658×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	149	17
2	1841	17

Stop Event

1×	node limit

Counts

2 → 41

Calls

Call 1

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

Outputs

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

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

simplify98.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1371×	`associate-*l/_binary64`
1103×	`associate-*r/_binary64`
349×	`sqr-pow_binary64`
314×	`*-commutative_binary64`
243×	`associate-/l*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	408
1	21	408
2	38	408
3	70	408
4	192	408
5	687	408
6	1820	408
7	2839	408
8	2949	408
9	3090	408
10	3268	408
11	3542	408
12	3870	408
13	5354	408

Stop Event

1×	node limit

Counts

89 → 45

Calls

Call 1

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

Outputs
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(.f64 1/3 (.f64 (/.f64 x y) x))
(.f64 1/3 (.f64 x (/.f64 x y)))
(.f64 x (/.f64 (.f64 1/3 x) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(.f64 1/3 (.f64 (/.f64 x y) x))
(.f64 1/3 (.f64 x (/.f64 x y)))
(.f64 x (/.f64 (.f64 1/3 x) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(.f64 1/3 (.f64 (/.f64 x y) x))
(.f64 1/3 (.f64 x (/.f64 x y)))
(.f64 x (/.f64 (.f64 1/3 x) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(.f64 1/3 (.f64 (/.f64 x y) x))
(.f64 1/3 (.f64 x (/.f64 x y)))
(.f64 x (/.f64 (.f64 1/3 x) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(.f64 1/3 (.f64 (/.f64 x y) x))
(.f64 1/3 (.f64 x (/.f64 x y)))
(.f64 x (/.f64 (.f64 1/3 x) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(.f64 1/3 (.f64 (/.f64 x y) x))
(.f64 1/3 (.f64 x (/.f64 x y)))
(.f64 x (/.f64 (.f64 1/3 x) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(.f64 1/3 (.f64 (/.f64 x y) x))
(.f64 1/3 (.f64 x (/.f64 x y)))
(.f64 x (/.f64 (.f64 1/3 x) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(.f64 1/3 (.f64 (/.f64 x y) x))
(.f64 1/3 (.f64 x (/.f64 x y)))
(.f64 x (/.f64 (.f64 1/3 x) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(.f64 1/3 (.f64 (/.f64 x y) x))
(.f64 1/3 (.f64 x (/.f64 x y)))
(.f64 x (/.f64 (.f64 1/3 x) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(.f64 1/3 (.f64 (/.f64 x y) x))
(.f64 1/3 (.f64 x (/.f64 x y)))
(.f64 x (/.f64 (.f64 1/3 x) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(.f64 1/3 (.f64 (/.f64 x y) x))
(.f64 1/3 (.f64 x (/.f64 x y)))
(.f64 x (/.f64 (.f64 1/3 x) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(.f64 1/3 (.f64 (/.f64 x y) x))
(.f64 1/3 (.f64 x (/.f64 x y)))
(.f64 x (/.f64 (.f64 1/3 x) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(.f64 1/3 (.f64 (/.f64 x y) x))
(.f64 1/3 (.f64 x (/.f64 x y)))
(.f64 x (/.f64 (.f64 1/3 x) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(.f64 1/3 (.f64 (/.f64 x y) x))
(.f64 1/3 (.f64 x (/.f64 x y)))
(.f64 x (/.f64 (.f64 1/3 x) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(.f64 1/3 (.f64 (/.f64 x y) x))
(.f64 1/3 (.f64 x (/.f64 x y)))
(.f64 x (/.f64 (.f64 1/3 x) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(.f64 1/3 (.f64 (/.f64 x y) x))
(.f64 1/3 (.f64 x (/.f64 x y)))
(.f64 x (/.f64 (.f64 1/3 x) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(.f64 1/3 (.f64 (/.f64 x y) x))
(.f64 1/3 (.f64 x (/.f64 x y)))
(.f64 x (/.f64 (.f64 1/3 x) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(.f64 1/3 (.f64 (/.f64 x y) x))
(.f64 1/3 (.f64 x (/.f64 x y)))
(.f64 x (/.f64 (.f64 1/3 x) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(.f64 1/3 (.f64 (/.f64 x y) x))
(.f64 1/3 (.f64 x (/.f64 x y)))
(.f64 x (/.f64 (.f64 1/3 x) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(.f64 1/3 (.f64 (/.f64 x y) x))
(.f64 1/3 (.f64 x (/.f64 x y)))
(.f64 x (/.f64 (.f64 1/3 x) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(.f64 1/3 (.f64 (/.f64 x y) x))
(.f64 1/3 (.f64 x (/.f64 x y)))
(.f64 x (/.f64 (.f64 1/3 x) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(.f64 1/3 (.f64 (/.f64 x y) x))
(.f64 1/3 (.f64 x (/.f64 x y)))
(.f64 x (/.f64 (.f64 1/3 x) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(.f64 1/3 (.f64 (/.f64 x y) x))
(.f64 1/3 (.f64 x (/.f64 x y)))
(.f64 x (/.f64 (.f64 1/3 x) y))
(*.f64 1/3 (/.f64 (pow.f64 x 2) y))
(.f64 1/3 (/.f64 (.f64 x x) y))
(.f64 1/3 (.f64 (/.f64 x y) x))
(.f64 1/3 (.f64 x (/.f64 x y)))
(.f64 x (/.f64 (.f64 1/3 x) y))

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 x (/.f64 y (*.f64 x 1/3)))
✓	0.2b	(/.f64 y (*.f64 x 1/3))
	0.3b	(*.f64 x 1/3)

Compiler

Compiled 20 to 12 computations (40% saved)

series5.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite117.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

904×	`pow1_binary64`
845×	`add-log-exp_binary64`
845×	`log1p-expm1-u_binary64`
845×	`expm1-log1p-u_binary64`
827×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	155	17
2	2241	17

Stop Event

1×	node limit

Counts

2 → 81

Calls

Call 1

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

Outputs

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

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

simplify156.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1158×	`associate-/r/_binary64`
1079×	`associate-*l/_binary64`
624×	`times-frac_binary64`
525×	`associate-l_binary64`
434×	`unswap-sqr_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	408
1	22	408
2	40	408
3	80	408
4	206	408
5	743	408
6	3173	408
7	4720	408
8	5002	408
9	5222	408
10	5450	408
11	5775	408

Stop Event

1×	node limit

Counts

129 → 83

Calls

Call 1

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

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

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (/.f64 x y) (+.f64 x -4))
✓	0.3b	(.f64 (.f64 (/.f64 x y) (+.f64 x -4)) 1/3)

Compiler

Compiled 28 to 15 computations (46.4% saved)

series6.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	y	@	0	(.f64 (.f64 (/.f64 x y) (+.f64 x -4)) 1/3)
1.0ms	x	@	0	(.f64 (.f64 (/.f64 x y) (+.f64 x -4)) 1/3)
1.0ms	y	@	inf	(.f64 (.f64 (/.f64 x y) (+.f64 x -4)) 1/3)
1.0ms	x	@	inf	(.f64 (.f64 (/.f64 x y) (+.f64 x -4)) 1/3)
1.0ms	x	@	-inf	(.f64 (.f64 (/.f64 x y) (+.f64 x -4)) 1/3)

rewrite110.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

521×	`log-prod_binary64`
340×	`pow-prod-down_binary64`
269×	`pow2_binary64`
268×	`prod-diff_binary64`
190×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	207	23
2	2916	23

Stop Event

1×	node limit

Counts

2 → 109

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 x y) (*.f64 (+.f64 x -4) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (/.f64 x y)) 1/3) (*.f64 (*.f64 (/.f64 x y) -4) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/3 (*.f64 x (/.f64 x y))) (*.f64 1/3 (*.f64 (/.f64 x y) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x y))) (+.f64 x -4))) 2)) (log.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x y))) (+.f64 x -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x y))) (+.f64 x -4)))) (log.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x y))) (+.f64 x -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 x y) (*.f64 (+.f64 x -4) 1/3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x -4) 1/3) (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (*.f64 (+.f64 x -4) 1/3)) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) (*.f64 (+.f64 x -4) 1/3)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x (+.f64 x -4)) 1/3) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/3 (*.f64 x (+.f64 x -4))) y)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 x y) (*.f64 (+.f64 x -4) 1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/9 (pow.f64 (*.f64 (/.f64 x y) (+.f64 x -4)) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 x y) (*.f64 (+.f64 x -4) 1/3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) (*.f64 (+.f64 x -4) 1/3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 x y) (*.f64 (+.f64 x -4) 1/3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/9 (pow.f64 (*.f64 (/.f64 x y) (+.f64 x -4)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x y))) (+.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 x y) (*.f64 (+.f64 x -4) 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 x y) (*.f64 (+.f64 x -4) 1/3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 x y) (*.f64 (+.f64 x -4) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 x y) (*.f64 (+.f64 x -4) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 x y) (*.f64 (+.f64 x -4) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 x y) (*.f64 (+.f64 x -4) 1/3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (/.f64 x y) (*.f64 (+.f64 x -4) 1/3)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 x y) (*.f64 (+.f64 x -4) 1/3)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 x y) (*.f64 (+.f64 x -4) 1/3)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 x y) (*.f64 (+.f64 x -4) 1/3))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/3 (*.f64 x (/.f64 x y)) (*.f64 1/3 (*.f64 (/.f64 x y) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (/.f64 x y)) 1/3 (*.f64 (*.f64 (/.f64 x y) -4) 1/3))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (/.f64 x y)) (*.f64 (/.f64 x y) -4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 x y) -4) (*.f64 x (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 x y) (+.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (/.f64 x y)) 1) (*.f64 (*.f64 (/.f64 x y) -4) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x y))) (+.f64 x -4)) 2)) (*.f64 (/.f64 x y) (*.f64 (+.f64 x -4) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x -4)) (/.f64 x y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x -4)) (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 x y) (+.f64 x -4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 y (+.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x -4) (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 x (+.f64 x -4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -64 (pow.f64 x 3)) (*.f64 (/.f64 y x) (-.f64 (fma.f64 x x 16) (*.f64 x -4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x x -16) (*.f64 (/.f64 y x) (+.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 x -4)) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x (+.f64 x -4))) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 -64 (pow.f64 x 3))) (*.f64 y (-.f64 (fma.f64 x x 16) (*.f64 x -4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) (+.f64 -64 (pow.f64 x 3))) (*.f64 (neg.f64 y) (-.f64 (fma.f64 x x 16) (*.f64 x -4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (fma.f64 x x -16)) (*.f64 y (+.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) (fma.f64 x x -16)) (*.f64 (neg.f64 y) (+.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -64 (pow.f64 x 3)) x) (*.f64 (-.f64 (fma.f64 x x 16) (*.f64 x -4)) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -16) x) (*.f64 (+.f64 x 4) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -64 (pow.f64 x 3)) 1) (*.f64 (-.f64 (fma.f64 x x 16) (*.f64 x -4)) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -16) 1) (*.f64 (+.f64 x 4) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -64 (pow.f64 x 3)) (neg.f64 x)) (*.f64 (-.f64 (fma.f64 x x 16) (*.f64 x -4)) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -16) (neg.f64 x)) (*.f64 (+.f64 x 4) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (/.f64 x y)) 3) (pow.f64 (*.f64 (/.f64 x y) -4) 3)) (+.f64 (pow.f64 (*.f64 x (/.f64 x y)) 2) (-.f64 (pow.f64 (*.f64 (/.f64 x y) -4) 2) (*.f64 (*.f64 x (/.f64 x y)) (*.f64 (/.f64 x y) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 x y)) 2) (pow.f64 (*.f64 (/.f64 x y) -4) 2)) (fma.f64 x (/.f64 x y) (neg.f64 (*.f64 (/.f64 x y) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (+.f64 x -4)) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (+.f64 x -4)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (+.f64 x -4)) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) (+.f64 x -4)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -64 (pow.f64 x 3)) (/.f64 x y)) (-.f64 (fma.f64 x x 16) (*.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -16) (/.f64 x y)) (+.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 x y) (+.f64 -64 (pow.f64 x 3))) (-.f64 (fma.f64 x x 16) (*.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 x y) (fma.f64 x x -16)) (+.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x -4) (neg.f64 x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 x y) (+.f64 x -4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 x y) (+.f64 x -4)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 x y) (+.f64 x -4)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) (+.f64 x -4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 x y) (+.f64 x -4))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (*.f64 x (+.f64 x -4))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 x y) (+.f64 x -4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 x -4)) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 x y) (+.f64 x -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 x y) (+.f64 x -4)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 x y) (+.f64 x -4))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 x y) (+.f64 x -4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 x y) (+.f64 x -4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 x y) (+.f64 x -4))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (/.f64 x y) (+.f64 x -4)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 x y) (+.f64 x -4)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 x y) (+.f64 x -4)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 x y) (+.f64 x -4))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (/.f64 x y) (*.f64 (/.f64 x y) -4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 (/.f64 1 y) -4) (*.f64 x (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x y) x (*.f64 (/.f64 x y) -4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x y) -4 (*.f64 x (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -4 (/.f64 x y) (*.f64 x (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x (/.f64 x y)) (*.f64 (/.f64 x y) -4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (/.f64 x y) -4) (*.f64 x (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) (/.f64 1 y) (*.f64 (/.f64 x y) -4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 x y)) (*.f64 (/.f64 x y) -4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (/.f64 x y) 2)) (*.f64 (cbrt.f64 (/.f64 x y)) x) (*.f64 (/.f64 x y) -4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (/.f64 x y) 2)) (*.f64 (cbrt.f64 (/.f64 x y)) -4) (*.f64 x (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 x y)) (*.f64 (/.f64 x y) -4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 x y)) (*.f64 (sqrt.f64 (/.f64 x y)) x) (*.f64 (/.f64 x y) -4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 x y)) (*.f64 (sqrt.f64 (/.f64 x y)) -4) (*.f64 x (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x -4) (/.f64 1 y) (*.f64 x (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (/.f64 x y)) 1 (*.f64 (*.f64 (/.f64 x y) -4) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) -4)) 2) (cbrt.f64 (*.f64 (/.f64 x y) -4)) (*.f64 x (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 x y))) 2) (cbrt.f64 (*.f64 x (/.f64 x y))) (*.f64 (/.f64 x y) -4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (/.f64 x y) -4)) (sqrt.f64 (*.f64 (/.f64 x y) -4)) (*.f64 x (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x (/.f64 x y))) (sqrt.f64 (*.f64 x (/.f64 x y))) (*.f64 (/.f64 x y) -4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 x y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 (/.f64 x y) -4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 x y) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (/.f64 x y) -4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (cbrt.f64 (pow.f64 (/.f64 x y) 2))) (cbrt.f64 (/.f64 x y)) (*.f64 (/.f64 x y) -4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 x y)) (*.f64 (/.f64 x y) -4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -4 (cbrt.f64 (pow.f64 (/.f64 x y) 2))) (cbrt.f64 (/.f64 x y)) (*.f64 x (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -4 (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 x y)) (*.f64 x (/.f64 x y)))))))

simplify77.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

514×	`associate-/l*_binary64`
507×	`distribute-rgt-out_binary64`
428×	`fma-def_binary64`
422×	`associate-/r/_binary64`
386×	`fma-neg_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	21	699
1	46	699
2	90	699
3	196	615
4	538	489
5	1981	489
6	5467	489
7	7434	489

Stop Event

1×	node limit

Counts

157 → 124

Calls

Call 1

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

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

eval312.0ms (2.9%)

Compiler: Compiled 8203 to 5490 computations (33.1% saved)

prune83.0ms (0.8%)

Pruning

19 alts after pruning (12 fresh and 7 done)

	Pruned	Kept	Total
New	497	10	507
Fresh	8	2	10
Picked	0	1	1
Done	1	6	7
Total	506	19	525

Error

Counts

525 → 19

Alt Table

Click to see full alt table

Status	Error	Program
▶	7.0b	(/.f64 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y) 3)
	42.3b	(.f64 (.f64 x (/.f64 -1/3 y)) (-.f64 3 x))
	20.3b	(/.f64 (+.f64 1 (*.f64 -4/3 x)) y)
✓	0.3b	(.f64 (/.f64 (-.f64 1 x) (.f64 3 y)) (-.f64 3 x))
	41.9b	(*.f64 (/.f64 (+.f64 x -4) (/.f64 y x)) 1/3)
▶	48.9b	(/.f64 (.f64 x x) (.f64 y 3))
▶	61.3b	(*.f64 x (/.f64 -4/3 y))
✓	61.3b	(*.f64 -4/3 (/.f64 x y))
	42.2b	(/.f64 x (*.f64 (/.f64 y x) 3))
	20.6b	(*.f64 (/.f64 3 y) 1/3)
▶	61.3b	(/.f64 (*.f64 -4/3 x) y)
✓	20.3b	(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
	42.0b	(.f64 (/.f64 x y) (+.f64 -4/3 (.f64 x 1/3)))
▶	42.2b	(/.f64 x (*.f64 (/.f64 3 x) y))
✓	20.3b	(/.f64 1 y)
✓	42.2b	(.f64 x (.f64 x (/.f64 1/3 y)))
✓	42.2b	(.f64 (/.f64 x y) (.f64 x 1/3))
✓	42.0b	(.f64 (.f64 (/.f64 x y) (+.f64 x -4)) 1/3)
	42.2b	(.f64 x (/.f64 x (.f64 y 3)))

Compiler

Compiled 289 to 209 computations (27.7% saved)

localize47.0ms (0.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y) 3)
✓	6.3b	(/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y)

Compiler

Compiled 39 to 27 computations (30.8% saved)

series12.0ms (0.1%)

Counts

2 → 36

Calls

12 calls:

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

rewrite77.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

578×	`log-prod_binary64`
368×	`pow-prod-down_binary64`
301×	`pow2_binary64`
225×	`log-div_binary64`
221×	`prod-diff_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	29
1	229	29
2	3259	29

Stop Event

1×	node limit

Counts

2 → 87

Calls

Call 1

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

Outputs

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

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

simplify62.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

771×	`unsub-neg_binary64`
759×	`fma-def_binary64`
379×	`distribute-rgt-neg-out_binary64`
331×	`distribute-rgt-in_binary64`
312×	`distribute-neg-out_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	31	580
1	75	576
2	148	564
3	364	532
4	1228	476
5	4815	476

Stop Event

1×	node limit

Counts

123 → 108

Calls

Call 1

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

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

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 x (/.f64 -4/3 y))
✓	0.3b	(/.f64 -4/3 y)

Compiler

Compiled 13 to 8 computations (38.5% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

9 calls:

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

rewrite60.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

616×	`pow1_binary64`
574×	`add-log-exp_binary64`
574×	`log1p-expm1-u_binary64`
574×	`expm1-log1p-u_binary64`
563×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	11
1	128	11
2	1559	11

Stop Event

1×	node limit

Counts

2 → 40

Calls

Call 1

Inputs
(/.f64 -4/3 y)
(*.f64 x (/.f64 -4/3 y))

Outputs

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

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

simplify15.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
2×	`associate-/l*_binary64`
1×	`associate-*r/_binary64`
1×	`associate-*l/_binary64`
1×	`associate-/r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	168
1	9	168
2	13	168
3	17	168
4	18	168

Stop Event

1×

saturated

Counts

64 → 41

Calls

Call 1

Inputs
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))

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

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (*.f64 -4/3 x) y)
✓	0.3b	(*.f64 -4/3 x)

Compiler

Compiled 13 to 8 computations (38.5% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

9 calls:

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

rewrite71.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

685×	`pow1_binary64`
641×	`add-log-exp_binary64`
641×	`log1p-expm1-u_binary64`
641×	`expm1-log1p-u_binary64`
628×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	11
1	127	11
2	1680	11

Stop Event

1×	node limit

Counts

2 → 52

Calls

Call 1

Inputs
(*.f64 -4/3 x)
(/.f64 (*.f64 -4/3 x) y)

Outputs

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

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

simplify18.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
2×	`associate-/l*_binary64`
1×	`associate-*r/_binary64`
1×	`associate-*l/_binary64`
1×	`associate-/r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	168
1	9	168
2	13	168
3	17	168
4	18	168

Stop Event

1×

saturated

Counts

76 → 52

Calls

Call 1

Inputs
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))
(*.f64 -4/3 (/.f64 x y))

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

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 x (*.f64 (/.f64 3 x) y))
✓	0.3b	(*.f64 (/.f64 3 x) y)

Compiler

Compiled 20 to 12 computations (40% saved)

series3.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite73.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

853×	`pow1_binary64`
796×	`add-log-exp_binary64`
796×	`log1p-expm1-u_binary64`
796×	`expm1-log1p-u_binary64`
780×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	155	17
2	2126	17

Stop Event

1×	node limit

Counts

2 → 62

Calls

Call 1

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

Outputs

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

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

simplify147.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1158×	`associate-/r/_binary64`
1079×	`associate-*l/_binary64`
624×	`times-frac_binary64`
525×	`associate-l_binary64`
434×	`unswap-sqr_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	408
1	22	408
2	40	408
3	80	408
4	206	408
5	743	408
6	3173	408
7	4720	408
8	5002	408
9	5222	408
10	5450	408
11	5775	408

Stop Event

1×	node limit

Counts

110 → 64

Calls

Call 1

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

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

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	10.6b	(/.f64 (.f64 x x) (.f64 y 3))

Compiler

Compiled 18 to 9 computations (50% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite58.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

833×	`pow1_binary64`
778×	`add-log-exp_binary64`
778×	`log1p-expm1-u_binary64`
778×	`expm1-log1p-u_binary64`
760×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	152	10
2	2097	10

Stop Event

1×	node limit

Counts

1 → 40

Calls

Call 1

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

Outputs

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

simplify130.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

682×	`associate-/l/_binary64`
528×	`associate-l_binary64`
493×	`*-commutative_binary64`
470×	`sqr-pow_binary64`
437×	`associate-*l/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	240
1	16	240
2	31	240
3	62	240
4	169	240
5	615	240
6	2654	240
7	3723	240
8	3933	240
9	4152	240
10	4380	240
11	4718	240
12	6225	240
13	6892	240
14	7688	240

Stop Event

1×	node limit

Counts

64 → 42

Calls

Call 1

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

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

eval169.0ms (1.6%)

Compiler: Compiled 3615 to 2485 computations (31.3% saved)

prune155.0ms (1.4%)

Pruning

18 alts after pruning (8 fresh and 10 done)

	Pruned	Kept	Total
New	304	3	307
Fresh	2	5	7
Picked	0	1	1
Done	2	9	11
Total	308	18	326

Error

Counts

326 → 18

Alt Table

Click to see full alt table

Status	Error	Program
	42.2b	(/.f64 (*.f64 x (/.f64 x y)) 3)
	42.3b	(.f64 (.f64 x (/.f64 -1/3 y)) (-.f64 3 x))
✓	7.0b	(/.f64 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y) 3)
	20.3b	(/.f64 (+.f64 1 (*.f64 -4/3 x)) y)
✓	0.3b	(.f64 (/.f64 (-.f64 1 x) (.f64 3 y)) (-.f64 3 x))
	41.9b	(*.f64 (/.f64 (+.f64 x -4) (/.f64 y x)) 1/3)
	61.3b	(/.f64 x (*.f64 y -3/4))
✓	42.2b	(.f64 (/.f64 x y) (.f64 x 1/3))
✓	48.9b	(/.f64 (.f64 x x) (.f64 y 3))
✓	61.3b	(*.f64 x (/.f64 -4/3 y))
	42.2b	(/.f64 x (*.f64 (/.f64 y x) 3))
	42.0b	(.f64 (/.f64 x y) (+.f64 -4/3 (.f64 x 1/3)))
✓	20.3b	(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y)))
✓	42.2b	(/.f64 x (*.f64 (/.f64 3 x) y))
✓	20.3b	(/.f64 1 y)
	20.5b	(/.f64 (/.f64 3 y) 3)
✓	42.2b	(.f64 x (.f64 x (/.f64 1/3 y)))
✓	42.0b	(.f64 (.f64 (/.f64 x y) (+.f64 x -4)) 1/3)

Compiler

Compiled 170 to 123 computations (27.6% saved)

regimes329.0ms (3.1%)

Counts

36 → 1

Calls

Call 1

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

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

Calls

7 calls:

117.0ms	(/.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) (.f64 y 3))
61.0ms	x
54.0ms	(*.f64 y 3)
41.0ms	y
21.0ms	(*.f64 y 3)

Results

Error	Segments	Branch
0.2b	1	`x`
0.2b	1	`y`
0.2b	1	`(/.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) (.f64 y 3))`
0.2b	1	`(*.f64 (-.f64 1 x) (-.f64 3 x))`
0.2b	1	`(*.f64 (-.f64 1 x) (-.f64 3 x))`
0.2b	1	`(*.f64 y 3)`
0.2b	1	`(*.f64 y 3)`

Compiler

Compiled 340 to 220 computations (35.3% saved)

regimes323.0ms (3%)

Counts

34 → 1

Calls

Call 1

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

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

Calls

7 calls:

51.0ms	y
46.0ms	x
39.0ms	(*.f64 y 3)
39.0ms	(*.f64 y 3)
32.0ms	(/.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) (.f64 y 3))

Results

Error	Segments	Branch
0.3b	1	`x`
0.3b	1	`y`
0.3b	1	`(/.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) (.f64 y 3))`
0.3b	1	`(*.f64 (-.f64 1 x) (-.f64 3 x))`
0.3b	1	`(*.f64 (-.f64 1 x) (-.f64 3 x))`
0.3b	1	`(*.f64 y 3)`
0.3b	1	`(*.f64 y 3)`

Compiler

Compiled 311 to 199 computations (36% saved)

regimes192.0ms (1.8%)

Counts

30 → 1

Calls

Call 1

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

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

Calls

6 calls:

47.0ms	y
40.0ms	(*.f64 y 3)
38.0ms	(*.f64 y 3)
32.0ms	x
10.0ms	(*.f64 (-.f64 1 x) (-.f64 3 x))

Results

Error	Segments	Branch
0.4b	1	`x`
0.4b	1	`y`
0.4b	1	`(*.f64 (-.f64 1 x) (-.f64 3 x))`
0.4b	1	`(*.f64 (-.f64 1 x) (-.f64 3 x))`
0.4b	1	`(*.f64 y 3)`
0.4b	1	`(*.f64 y 3)`

Compiler

Compiled 252 to 156 computations (38.1% saved)

regimes303.0ms (2.8%)

Counts

29 → 3

Calls

Call 1

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

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

Calls

6 calls:

122.0ms	x
53.0ms	y
50.0ms	(*.f64 y 3)
34.0ms	(*.f64 y 3)
16.0ms	(*.f64 (-.f64 1 x) (-.f64 3 x))

Results

Error	Segments	Branch
0.3b	3	`x`
7.0b	1	`y`
0.3b	2	`(*.f64 (-.f64 1 x) (-.f64 3 x))`
0.3b	2	`(*.f64 (-.f64 1 x) (-.f64 3 x))`
7.0b	1	`(*.f64 y 3)`
7.0b	1	`(*.f64 y 3)`

Compiler

Compiled 241 to 148 computations (38.6% saved)

bsearch26.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
8.0ms	7.684137665122611e+74	3.993234435597829e+77
17.0ms	-3.1515642018576523e+69	-1.433141677380257e+66

Compiler

Compiled 66 to 50 computations (24.2% saved)

regimes489.0ms (4.6%)

Counts

28 → 3

Calls

Call 1

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

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

Calls

4 calls:

180.0ms	(*.f64 y 3)
114.0ms	(*.f64 y 3)
100.0ms	y
83.0ms	x

Results

Error	Segments	Branch
0.9b	3	`x`
14.2b	7	`y`
14.2b	7	`(*.f64 y 3)`
14.2b	7	`(*.f64 y 3)`

Compiler

Compiled 212 to 126 computations (40.6% saved)

bsearch39.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
20.0ms	0.22570405195942841	1.857745496851575
19.0ms	-14594907.282178322	-0.006499185871719319

Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes825.0ms (7.7%)

Counts

21 → 3

Calls

Call 1

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

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

Calls

4 calls:

460.0ms	y
199.0ms	(*.f64 y 3)
101.0ms	(*.f64 y 3)
60.0ms	x

Results

Error	Segments	Branch
1.2b	3	`x`
14.2b	7	`y`
14.2b	7	`(*.f64 y 3)`
14.2b	7	`(*.f64 y 3)`

Compiler

Compiled 149 to 89 computations (40.3% saved)

bsearch45.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
21.0ms	0.22570405195942841	1.857745496851575
23.0ms	-14594907.282178322	-0.006499185871719319

Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes445.0ms (4.2%)

Counts

20 → 3

Calls

Call 1

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

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

Calls

4 calls:

200.0ms	(*.f64 y 3)
110.0ms	(*.f64 y 3)
93.0ms	y
33.0ms	x

Results

Error	Segments	Branch
1.2b	3	`x`
14.2b	7	`y`
14.2b	7	`(*.f64 y 3)`
14.2b	7	`(*.f64 y 3)`

Compiler

Compiled 140 to 83 computations (40.7% saved)

bsearch63.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
19.0ms	1.857745496851575	85.99507963477441
44.0ms	-14594907.282178322	-0.006499185871719319

Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes466.0ms (4.4%)

Counts

13 → 3

Calls

Call 1

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

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

Calls

4 calls:

191.0ms	x
95.0ms	(*.f64 y 3)
93.0ms	y
77.0ms	(*.f64 y 3)

Results

Error	Segments	Branch
1.4b	3	`x`
14.3b	7	`y`
14.3b	7	`(*.f64 y 3)`
14.3b	7	`(*.f64 y 3)`

Compiler

Compiled 91 to 58 computations (36.3% saved)

bsearch73.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
19.0ms	1.857745496851575	85.99507963477441
54.0ms	-14594907.282178322	-0.006499185871719319

Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes207.0ms (1.9%)

Counts

12 → 3

Calls

Call 1

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

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

Calls

3 calls:

90.0ms	y
86.0ms	(*.f64 y 3)
24.0ms	x

Results

Error	Segments	Branch
1.5b	3	`x`
14.3b	7	`y`
14.3b	7	`(*.f64 y 3)`

Compiler

Compiled 79 to 50 computations (36.7% saved)

bsearch61.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
25.0ms	1.857745496851575	85.99507963477441
36.0ms	-14594907.282178322	-0.006499185871719319

Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes193.0ms (1.8%)

Counts

11 → 3

Calls

Call 1

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

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

Calls

3 calls:

83.0ms	y
83.0ms	(*.f64 y 3)
24.0ms	x

Results

Error	Segments	Branch
1.5b	3	`x`
14.4b	7	`y`
14.4b	7	`(*.f64 y 3)`

Compiler

Compiled 72 to 46 computations (36.1% saved)

bsearch39.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
20.0ms	1.857745496851575	85.99507963477441
19.0ms	-14594907.282178322	-0.006499185871719319

Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes210.0ms (2%)

Counts

10 → 3

Calls

Call 1

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

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

Calls

3 calls:

77.0ms	(*.f64 y 3)
77.0ms	y
53.0ms	x

Results

Error	Segments	Branch
1.5b	3	`x`
14.4b	7	`y`
14.4b	7	`(*.f64 y 3)`

Compiler

Compiled 65 to 42 computations (35.4% saved)

bsearch43.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
21.0ms	1.857745496851575	85.99507963477441
21.0ms	-14594907.282178322	-0.006499185871719319

Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes53.0ms (0.5%)

Accuracy

Total -41.2b remaining (-202.7%)

Threshold costs -41.2b (-202.7%)

Counts

8 → 1

Calls

Call 1

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

Outputs
(/.f64 1 y)

Calls

2 calls:

39.0ms	x
11.0ms	y

Results

Error	Segments	Branch
20.3b	1	`x`
20.3b	1	`y`

Compiler

Compiled 46 to 31 computations (32.6% saved)

simplify36.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

16×	`*-commutative_binary64`
7×	`+-commutative_binary64`
5×	`sub-neg_binary64`
2×	`neg-sub0_binary64`
2×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	391
1	98	391
2	107	391
3	111	391
4	113	391

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(-.f64 (/.f64 1 (.f64 3 (/.f64 y (-.f64 3 x)))) (/.f64 x (.f64 3 (/.f64 y (-.f64 3 x)))))
(.f64 (/.f64 (-.f64 1 x) (.f64 3 y)) (-.f64 3 x))
(*.f64 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))) 1/3)
(if (<=.f64 x -99999999999999995280522225138166806691251291352861698530421623488512) (/.f64 (.f64 x (/.f64 x y)) 3) (if (<=.f64 x 10000000000000000470601344959054695891559601407866630764278709534898249531392) (/.f64 (/.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) y) 3) (/.f64 (*.f64 x 1/3) (/.f64 y x))))
(if (<=.f64 x -62684649465108136/4294967296) (.f64 (/.f64 (+.f64 x -4) (/.f64 y x)) 1/3) (if (<=.f64 x 4163504882894818816/18446744073709551616) (/.f64 (+.f64 1 (.f64 -4/3 x)) y) (*.f64 (/.f64 (+.f64 x -4) (/.f64 y x)) 1/3)))
(if (<=.f64 x -62684649465108136/4294967296) (/.f64 (.f64 x (/.f64 x y)) 3) (if (<=.f64 x 4163504882894818816/18446744073709551616) (/.f64 (+.f64 1 (.f64 -4/3 x)) y) (.f64 (.f64 x (/.f64 -1/3 y)) (-.f64 3 x))))
(if (<=.f64 x -62684649465108136/4294967296) (/.f64 (.f64 x (/.f64 x y)) 3) (if (<=.f64 x 4183270963684985/2251799813685248) (/.f64 (+.f64 1 (.f64 -4/3 x)) y) (.f64 x (/.f64 x (.f64 y 3)))))
(if (<=.f64 x -62684649465108136/4294967296) (/.f64 (.f64 x (/.f64 x y)) 3) (if (<=.f64 x 4183270963684985/2251799813685248) (/.f64 1 y) (.f64 x (/.f64 x (*.f64 y 3)))))
(if (<=.f64 x -62684649465108136/4294967296) (/.f64 (.f64 x (/.f64 x y)) 3) (if (<=.f64 x 4183270963684985/2251799813685248) (/.f64 1 y) (/.f64 x (.f64 (/.f64 3 x) y))))
(if (<=.f64 x -62684649465108136/4294967296) (/.f64 (.f64 x (/.f64 x y)) 3) (if (<=.f64 x 4183270963684985/2251799813685248) (/.f64 1 y) (/.f64 x (.f64 (/.f64 y x) 3))))
(if (<=.f64 x -62684649465108136/4294967296) (/.f64 (.f64 x (/.f64 x y)) 3) (if (<=.f64 x 4183270963684985/2251799813685248) (/.f64 1 y) (/.f64 (.f64 x (/.f64 x y)) 3)))
(/.f64 1 y)

Outputs
(-.f64 (/.f64 1 (.f64 3 (/.f64 y (-.f64 3 x)))) (/.f64 x (.f64 3 (/.f64 y (-.f64 3 x)))))
(.f64 (/.f64 (-.f64 1 x) (.f64 3 y)) (-.f64 3 x))
(.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) (.f64 3 y)))
(*.f64 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))) 1/3)
(if (<=.f64 x -99999999999999995280522225138166806691251291352861698530421623488512) (/.f64 (.f64 x (/.f64 x y)) 3) (if (<=.f64 x 10000000000000000470601344959054695891559601407866630764278709534898249531392) (/.f64 (/.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) y) 3) (/.f64 (*.f64 x 1/3) (/.f64 y x))))
(if (<=.f64 x -99999999999999995280522225138166806691251291352861698530421623488512) (/.f64 (.f64 x (/.f64 x y)) 3) (if (<=.f64 x 10000000000000000470601344959054695891559601407866630764278709534898249531392) (/.f64 (/.f64 (.f64 (-.f64 3 x) (-.f64 1 x)) y) 3) (/.f64 (*.f64 x 1/3) (/.f64 y x))))
(if (<=.f64 x -62684649465108136/4294967296) (.f64 (/.f64 (+.f64 x -4) (/.f64 y x)) 1/3) (if (<=.f64 x 4163504882894818816/18446744073709551616) (/.f64 (+.f64 1 (.f64 -4/3 x)) y) (*.f64 (/.f64 (+.f64 x -4) (/.f64 y x)) 1/3)))
(if (<=.f64 x -7835581183138517/536870912) (.f64 1/3 (/.f64 (+.f64 x -4) (/.f64 y x))) (if (<=.f64 x 8131845474403943/36028797018963968) (/.f64 (+.f64 1 (.f64 x -4/3)) y) (*.f64 1/3 (/.f64 (+.f64 x -4) (/.f64 y x)))))
(if (<=.f64 x -62684649465108136/4294967296) (/.f64 (.f64 x (/.f64 x y)) 3) (if (<=.f64 x 4163504882894818816/18446744073709551616) (/.f64 (+.f64 1 (.f64 -4/3 x)) y) (.f64 (.f64 x (/.f64 -1/3 y)) (-.f64 3 x))))
(if (<=.f64 x -7835581183138517/536870912) (/.f64 (.f64 x (/.f64 x y)) 3) (if (<=.f64 x 8131845474403943/36028797018963968) (/.f64 (+.f64 1 (.f64 x -4/3)) y) (.f64 (-.f64 3 x) (.f64 x (/.f64 -1/3 y)))))
(if (<=.f64 x -62684649465108136/4294967296) (/.f64 (.f64 x (/.f64 x y)) 3) (if (<=.f64 x 4183270963684985/2251799813685248) (/.f64 (+.f64 1 (.f64 -4/3 x)) y) (.f64 x (/.f64 x (.f64 y 3)))))
(if (<=.f64 x -7835581183138517/536870912) (/.f64 (.f64 x (/.f64 x y)) 3) (if (<=.f64 x 4183270963684985/2251799813685248) (/.f64 (+.f64 1 (.f64 x -4/3)) y) (.f64 x (/.f64 x (.f64 3 y)))))
(if (<=.f64 x -62684649465108136/4294967296) (/.f64 (.f64 x (/.f64 x y)) 3) (if (<=.f64 x 4183270963684985/2251799813685248) (/.f64 1 y) (.f64 x (/.f64 x (*.f64 y 3)))))
(if (<=.f64 x -7835581183138517/536870912) (/.f64 (.f64 x (/.f64 x y)) 3) (if (<=.f64 x 4183270963684985/2251799813685248) (/.f64 1 y) (.f64 x (/.f64 x (*.f64 3 y)))))
(if (<=.f64 x -62684649465108136/4294967296) (/.f64 (.f64 x (/.f64 x y)) 3) (if (<=.f64 x 4183270963684985/2251799813685248) (/.f64 1 y) (/.f64 x (.f64 (/.f64 3 x) y))))
(if (<=.f64 x -7835581183138517/536870912) (/.f64 (.f64 x (/.f64 x y)) 3) (if (<=.f64 x 4183270963684985/2251799813685248) (/.f64 1 y) (/.f64 x (.f64 y (/.f64 3 x)))))
(if (<=.f64 x -62684649465108136/4294967296) (/.f64 (.f64 x (/.f64 x y)) 3) (if (<=.f64 x 4183270963684985/2251799813685248) (/.f64 1 y) (/.f64 x (.f64 (/.f64 y x) 3))))
(if (<=.f64 x -7835581183138517/536870912) (/.f64 (.f64 x (/.f64 x y)) 3) (if (<=.f64 x 4183270963684985/2251799813685248) (/.f64 1 y) (/.f64 x (.f64 3 (/.f64 y x)))))
(if (<=.f64 x -62684649465108136/4294967296) (/.f64 (.f64 x (/.f64 x y)) 3) (if (<=.f64 x 4183270963684985/2251799813685248) (/.f64 1 y) (/.f64 (.f64 x (/.f64 x y)) 3)))
(if (<=.f64 x -7835581183138517/536870912) (/.f64 (.f64 x (/.f64 x y)) 3) (if (<=.f64 x 4183270963684985/2251799813685248) (/.f64 1 y) (/.f64 (.f64 x (/.f64 x y)) 3)))
(/.f64 1 y)

Compiler

Compiled 294 to 202 computations (31.3% saved)

soundness0.0ms (0%)

end240.0ms (2.3%)

Compiler: Compiled 272 to 166 computations (39% saved)