Details

analyze44.0ms (1.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
25%	25%	74.9%	0.1%	0%	0%	0%	5
43.8%	43.7%	56.2%	0.1%	0%	0%	0%	6
59.4%	59.3%	40.6%	0.1%	0%	0%	0%	7
68.3%	67.1%	31.2%	0.1%	1.6%	0%	0%	8
76.6%	74.1%	22.6%	0.1%	3.1%	0%	0%	9
81.9%	77.7%	17.2%	0.1%	5.1%	0%	0%	10
87.2%	81%	11.9%	0.1%	7%	0%	0%	11
90.2%	82.6%	9%	0.1%	8.3%	0%	0%	12

Compiler

Compiled 8 to 6 computations (25% saved)

sample668.0ms (17.4%)

Results

630.0ms	8256×	body	256	valid
27.0ms	365×	body	256	infinite

Bogosity

preprocess137.0ms (3.6%)

Algorithm

2×	egg-herbie

Rules

4008×	`rational.json-simplify-35`
2700×	`rational.json-simplify-51`
1900×	`rational.json-simplify-2`
1496×	`rational.json-simplify-1`
768×	`rational.json-simplify-47`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	26
1	21	26
2	43	26
3	83	26
4	165	26
5	327	26
6	747	26
7	1099	26
8	1380	26
9	1782	26
10	2152	26
11	2744	26
12	3612	26
13	4038	26
14	4234	26
15	5938	26
16	6150	26
17	6150	26
18	7120	26
0	2	2

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify105.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

2688×	`rational.json-simplify-51`
2634×	`rational.json-simplify-2`
2510×	`rational.json-simplify-44`
2092×	`rational.json-simplify-35`
908×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	13	13
2	26	13
3	48	13
4	95	13
5	186	13
6	424	13
7	1062	13
8	1596	13
9	1777	13
10	1908	13
11	2086	13
12	2315	13
13	2621	13
14	5240	13
15	5679	13
16	6234	13
17	6234	13

Stop Event

1×	node limit

Counts

1 → 1

Calls

Call 1

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.2b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.2b	(/.f64 x (*.f64 y 3))

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 8 computations (38.5% saved)

series3.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite68.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1904×	`rational.json-simplify-35`
1352×	`rational.json-1`
1352×	`rational.json-2`
1352×	`rational.json-4`
1352×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	50	13
2	145	13
3	433	13
4	1424	13
5	4040	13

Stop Event

1×	node limit

Counts

1 → 58

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (/.f64 1/3 y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 x (/.f64 1/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (/.f64 x (.f64 y -3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (.f64 y 6)) (/.f64 x (.f64 y 6)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 x (/.f64 1/3 y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 x (.f64 y -3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 x (/.f64 1/3 y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 x (.f64 (.f64 2 (/.f64 1/3 y)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 x (.f64 (/.f64 2 (.f64 y 3)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 x (.f64 2/3 (/.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x (/.f64 1/3 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 x (/.f64 1/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 x x) (/.f64 1/6 y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 x x) (.f64 (/.f64 1/3 y) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 x x) (.f64 (.f64 (/.f64 1/3 y) 1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 x x) (.f64 1/6 (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 x x) (.f64 (/.f64 1/2 y) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 x x) (.f64 (.f64 (/.f64 1 y) 1/2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 x x) (.f64 1/3 (/.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 x y) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 x (.f64 y 6)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (/.f64 x (.f64 y 6)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (/.f64 x 6) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (/.f64 x 2) (/.f64 1/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (/.f64 x (+.f64 y y)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (.f64 x (/.f64 1/3 y)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (.f64 x 1/3) (/.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 x (/.f64 1/6 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (/.f64 1/6 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 x y) 2/3) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x 4) (/.f64 1 (.f64 y 12)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x 4) (.f64 (/.f64 1 (.f64 y 12)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x 4) (.f64 1/4 (/.f64 1/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x 4) (.f64 (/.f64 1 (.f64 y 4)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x 4) (.f64 1/2 (/.f64 1/6 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 2 (/.f64 y x)) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x 1/3) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 y) (.f64 x 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/3 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 x) (/.f64 1 (.f64 y -3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 x) (.f64 (/.f64 1 (.f64 y -3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 x) (.f64 (/.f64 -1 y) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (/.f64 x (.f64 y -3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (.f64 (/.f64 x (.f64 y -3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (.f64 (/.f64 (neg.f64 x) y) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x 2/3) (/.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/3 (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (/.f64 x y) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/2 y) (.f64 x 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/6 y) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 1/3 y) 1/2) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 x (.f64 y -3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/6 (/.f64 2 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 x (.f64 y 6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 y 12)) (.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 y -3)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (/.f64 1/3 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (.f64 y -3)))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (/.f64 1/3 y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (/.f64 1/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (/.f64 x (*.f64 y -3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (*.f64 y 6)) (/.f64 x (*.f64 y 6)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (/.f64 1/3 y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 x (*.f64 y -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1/3 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (*.f64 2 (/.f64 1/3 y)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (/.f64 2 (*.f64 y 3)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 2/3 (/.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (/.f64 1/3 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (/.f64 1/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (/.f64 1/6 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (*.f64 (/.f64 1/3 y) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (*.f64 (*.f64 (/.f64 1/3 y) 1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (*.f64 1/6 (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (*.f64 (/.f64 1/2 y) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (*.f64 (*.f64 (/.f64 1 y) 1/2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (*.f64 1/3 (/.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x y) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 x (*.f64 y 6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 x (*.f64 y 6)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 x 6) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 x 2) (/.f64 1/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 x (+.f64 y y)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (*.f64 x (/.f64 1/3 y)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (*.f64 x 1/3) (/.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 x (/.f64 1/6 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 1/6 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x y) 2/3) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 4) (/.f64 1 (*.f64 y 12)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 4) (*.f64 (/.f64 1 (*.f64 y 12)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 4) (*.f64 1/4 (/.f64 1/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 4) (*.f64 (/.f64 1 (*.f64 y 4)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 4) (*.f64 1/2 (/.f64 1/6 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (/.f64 y x)) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 1/3) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (*.f64 x 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (*.f64 y -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (*.f64 (/.f64 1 (*.f64 y -3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (*.f64 (/.f64 -1 y) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 x (*.f64 y -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 (/.f64 x (*.f64 y -3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 (/.f64 (neg.f64 x) y) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 2/3) (/.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (/.f64 x y) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 y) (*.f64 x 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/6 y) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1/3 y) 1/2) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (*.f64 y -3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/6 (/.f64 2 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (*.f64 y 6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 y 12)) (*.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 y -3)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (/.f64 1/3 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (*.f64 y -3)))))))

simplify115.0ms (3%)

Algorithm

1×	egg-herbie

Rules

1418×	`rational.json-simplify-2`
1068×	`rational.json-simplify-35`
834×	`rational.json-simplify-1`
794×	`rational.json-simplify-51`
776×	`rational.json-simplify-44`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	135	1066
1	303	1066
2	630	1066
3	1290	1066
4	2730	1066
5	6325	1066
6	7691	1066

Stop Event

1×	node limit

Counts

82 → 59

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 (*.f64 x (/.f64 1/3 y)) 0)
(+.f64 0 (*.f64 x (/.f64 1/3 y)))
(+.f64 -1 (-.f64 1 (/.f64 x (*.f64 y -3))))
(+.f64 (/.f64 x (.f64 y 6)) (/.f64 x (.f64 y 6)))
(-.f64 (*.f64 x (/.f64 1/3 y)) 0)
(-.f64 0 (/.f64 x (*.f64 y -3)))
(*.f64 x (/.f64 1/3 y))
(.f64 x (.f64 (*.f64 2 (/.f64 1/3 y)) 1/2))
(.f64 x (.f64 (/.f64 2 (*.f64 y 3)) 1/2))
(.f64 x (.f64 2/3 (/.f64 1/2 y)))
(.f64 (.f64 x (/.f64 1/3 y)) 1)
(.f64 1 (.f64 x (/.f64 1/3 y)))
(*.f64 (+.f64 x x) (/.f64 1/6 y))
(.f64 (+.f64 x x) (.f64 (/.f64 1/3 y) 1/2))
(.f64 (+.f64 x x) (.f64 (*.f64 (/.f64 1/3 y) 1/2) 1))
(.f64 (+.f64 x x) (.f64 1/6 (/.f64 1 y)))
(.f64 (+.f64 x x) (.f64 (/.f64 1/2 y) 1/3))
(.f64 (+.f64 x x) (.f64 (*.f64 (/.f64 1 y) 1/2) 1/3))
(.f64 (+.f64 x x) (.f64 1/3 (/.f64 1/2 y)))
(*.f64 (/.f64 x y) 1/3)
(.f64 2 (/.f64 x (.f64 y 6)))
(.f64 2 (.f64 (/.f64 x (*.f64 y 6)) 1))
(.f64 2 (.f64 (/.f64 x 6) (/.f64 1 y)))
(.f64 2 (.f64 (/.f64 x 2) (/.f64 1/3 y)))
(.f64 2 (.f64 (/.f64 x (+.f64 y y)) 1/3))
(.f64 2 (.f64 (*.f64 x (/.f64 1/3 y)) 1/2))
(.f64 2 (.f64 (*.f64 x 1/3) (/.f64 1/2 y)))
(.f64 2 (.f64 x (/.f64 1/6 y)))
(.f64 2 (.f64 (/.f64 1/6 y) x))
(.f64 (.f64 (/.f64 x y) 2/3) 1/2)
(.f64 (.f64 x 4) (/.f64 1 (*.f64 y 12)))
(.f64 (.f64 x 4) (.f64 (/.f64 1 (.f64 y 12)) 1))
(.f64 (.f64 x 4) (*.f64 1/4 (/.f64 1/3 y)))
(.f64 (.f64 x 4) (.f64 (/.f64 1 (.f64 y 4)) 1/3))
(.f64 (.f64 x 4) (*.f64 1/2 (/.f64 1/6 y)))
(*.f64 (/.f64 2 (/.f64 y x)) 1/6)
(.f64 (.f64 x 1/3) (/.f64 1 y))
(.f64 (/.f64 1 y) (.f64 x 1/3))
(*.f64 (/.f64 1/3 y) x)
(.f64 (neg.f64 x) (/.f64 1 (.f64 y -3)))
(.f64 (neg.f64 x) (.f64 (/.f64 1 (*.f64 y -3)) 1))
(.f64 (neg.f64 x) (.f64 (/.f64 -1 y) 1/3))
(.f64 -1 (/.f64 x (.f64 y -3)))
(.f64 -1 (.f64 (/.f64 x (*.f64 y -3)) 1))
(.f64 -1 (.f64 (/.f64 (neg.f64 x) y) 1/3))
(.f64 (.f64 x 2/3) (/.f64 1/2 y))
(*.f64 1/3 (/.f64 x y))
(.f64 1/2 (.f64 (/.f64 x y) 2/3))
(.f64 (/.f64 1/2 y) (.f64 x 2/3))
(*.f64 (/.f64 1/6 y) (+.f64 x x))
(.f64 (.f64 (/.f64 1/3 y) 1/2) (+.f64 x x))
(.f64 (/.f64 x (.f64 y -3)) -1)
(*.f64 1/6 (/.f64 2 (/.f64 y x)))
(.f64 (/.f64 x (.f64 y 6)) 2)
(.f64 (/.f64 1 (.f64 y 12)) (*.f64 x 4))
(.f64 (/.f64 1 (.f64 y -3)) (neg.f64 x))
(pow.f64 (*.f64 x (/.f64 1/3 y)) 1)
(neg.f64 (/.f64 x (*.f64 y -3)))

Outputs
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(+.f64 (*.f64 x (/.f64 1/3 y)) 0)
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(+.f64 0 (*.f64 x (/.f64 1/3 y)))
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(+.f64 -1 (-.f64 1 (/.f64 x (*.f64 y -3))))
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(+.f64 (/.f64 x (.f64 y 6)) (/.f64 x (.f64 y 6)))
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(-.f64 (*.f64 x (/.f64 1/3 y)) 0)
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(-.f64 0 (/.f64 x (*.f64 y -3)))
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(.f64 x (.f64 (*.f64 2 (/.f64 1/3 y)) 1/2))
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(.f64 x (.f64 (/.f64 2 (*.f64 y 3)) 1/2))
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(.f64 x (.f64 2/3 (/.f64 1/2 y)))
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(.f64 (.f64 x (/.f64 1/3 y)) 1)
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(.f64 1 (.f64 x (/.f64 1/3 y)))
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(*.f64 (+.f64 x x) (/.f64 1/6 y))
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(.f64 (+.f64 x x) (.f64 (/.f64 1/3 y) 1/2))
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(.f64 (+.f64 x x) (.f64 (*.f64 (/.f64 1/3 y) 1/2) 1))
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(.f64 (+.f64 x x) (.f64 1/6 (/.f64 1 y)))
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(.f64 (+.f64 x x) (.f64 (/.f64 1/2 y) 1/3))
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(.f64 (+.f64 x x) (.f64 (*.f64 (/.f64 1 y) 1/2) 1/3))
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(.f64 (+.f64 x x) (.f64 1/3 (/.f64 1/2 y)))
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(*.f64 (/.f64 x y) 1/3)
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(.f64 2 (/.f64 x (.f64 y 6)))
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(.f64 2 (.f64 (/.f64 x (*.f64 y 6)) 1))
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(.f64 2 (.f64 (/.f64 x 6) (/.f64 1 y)))
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(.f64 2 (.f64 (/.f64 x 2) (/.f64 1/3 y)))
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(.f64 2 (.f64 (/.f64 x (+.f64 y y)) 1/3))
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(.f64 2 (.f64 (*.f64 x (/.f64 1/3 y)) 1/2))
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(.f64 2 (.f64 (*.f64 x 1/3) (/.f64 1/2 y)))
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(.f64 2 (.f64 x (/.f64 1/6 y)))
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(.f64 2 (.f64 (/.f64 1/6 y) x))
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(.f64 (.f64 (/.f64 x y) 2/3) 1/2)
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(.f64 (.f64 x 4) (/.f64 1 (*.f64 y 12)))
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(.f64 (.f64 x 4) (.f64 (/.f64 1 (.f64 y 12)) 1))
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(.f64 (.f64 x 4) (*.f64 1/4 (/.f64 1/3 y)))
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(.f64 (.f64 x 4) (.f64 (/.f64 1 (.f64 y 4)) 1/3))
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(.f64 (.f64 x 4) (*.f64 1/2 (/.f64 1/6 y)))
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(*.f64 (/.f64 2 (/.f64 y x)) 1/6)
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(.f64 (.f64 x 1/3) (/.f64 1 y))
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(.f64 (/.f64 1 y) (.f64 x 1/3))
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(*.f64 (/.f64 1/3 y) x)
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(.f64 (neg.f64 x) (/.f64 1 (.f64 y -3)))
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(.f64 (neg.f64 x) (.f64 (/.f64 1 (*.f64 y -3)) 1))
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(.f64 (neg.f64 x) (.f64 (/.f64 -1 y) 1/3))
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(.f64 -1 (/.f64 x (.f64 y -3)))
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(.f64 -1 (.f64 (/.f64 x (*.f64 y -3)) 1))
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(.f64 -1 (.f64 (/.f64 (neg.f64 x) y) 1/3))
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(.f64 (.f64 x 2/3) (/.f64 1/2 y))
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(.f64 1/2 (.f64 (/.f64 x y) 2/3))
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(.f64 (/.f64 1/2 y) (.f64 x 2/3))
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(*.f64 (/.f64 1/6 y) (+.f64 x x))
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(.f64 (.f64 (/.f64 1/3 y) 1/2) (+.f64 x x))
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(.f64 (/.f64 x (.f64 y -3)) -1)
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(*.f64 1/6 (/.f64 2 (/.f64 y x)))
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(.f64 (/.f64 x (.f64 y 6)) 2)
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(.f64 (/.f64 1 (.f64 y 12)) (*.f64 x 4))
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(.f64 (/.f64 1 (.f64 y -3)) (neg.f64 x))
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(pow.f64 (*.f64 x (/.f64 1/3 y)) 1)
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(neg.f64 (/.f64 x (*.f64 y -3)))
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))

eval10.0ms (0.3%)

Compiler: Compiled 469 to 323 computations (31.1% saved)

prune12.0ms (0.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	53	6	59
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	53	7	60

Error

0.0b

Counts

60 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.2b	(/.f64 x (*.f64 y 3))
▶	0.3b	(*.f64 (/.f64 x y) 1/3)
▶	0.7b	(*.f64 (/.f64 2 (/.f64 y x)) 1/6)
▶	0.4b	(.f64 (/.f64 1 y) (.f64 x 1/3))
▶	0.3b	(*.f64 (/.f64 1/3 y) x)
▶	0.4b	(.f64 x (.f64 2/3 (/.f64 1/2 y)))
	0.3b	(.f64 2 (.f64 (/.f64 x 6) (/.f64 1 y)))

Compiler

Compiled 111 to 85 computations (23.4% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 6 computations (53.8% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite69.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1264×	`rational.json-1`
1264×	`rational.json-2`
1264×	`rational.json-4`
1264×	`rational.json-3`
1256×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	48	13
2	123	13
3	305	13
4	807	13
5	3413	13

Stop Event

1×	node limit

Counts

1 → 10

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 x y) 1/3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (/.f64 x y) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 x y) 1/6) (.f64 (/.f64 x y) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (/.f64 x y) 1/3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 x y) 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 x y) 2/3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 x y) 4/3) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (/.f64 x y) 4/3)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (/.f64 x y) 4/3))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (/.f64 x y) 1/3) 1)))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 x y) 1/3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 x y) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 x y) 1/6) (*.f64 (/.f64 x y) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (/.f64 x y) 1/3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 x y) 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 x y) 2/3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 x y) 4/3) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (/.f64 x y) 4/3)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (/.f64 x y) 4/3))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 x y) 1/3) 1)))))

simplify272.0ms (7.1%)

Algorithm

1×	egg-herbie

Rules

1636×	`rational.json-simplify-35`
1594×	`rational.json-simplify-2`
1476×	`rational.json-simplify-61`
874×	`rational.json-simplify-39`
600×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	442
1	74	442
2	162	442
3	423	442
4	1308	442
5	2938	442
6	3876	442
7	4338	442
8	4772	442
9	6099	442
10	6443	442
11	6767	442
12	7422	442

Stop Event

1×	node limit

Counts

34 → 11

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 (*.f64 (/.f64 x y) 1/3) 0)
(+.f64 0 (*.f64 (/.f64 x y) 1/3))
(+.f64 (.f64 (/.f64 x y) 1/6) (.f64 (/.f64 x y) 1/6))
(-.f64 (*.f64 (/.f64 x y) 1/3) 0)
(/.f64 (*.f64 (/.f64 x y) 1/3) 1)
(/.f64 (*.f64 (/.f64 x y) 2/3) 2)
(/.f64 (*.f64 (/.f64 x y) 4/3) 4)
(/.f64 (.f64 2 (.f64 (/.f64 x y) 4/3)) 8)
(/.f64 (.f64 2 (.f64 2 (*.f64 (/.f64 x y) 4/3))) 16)
(pow.f64 (*.f64 (/.f64 x y) 1/3) 1)

Outputs
(*.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 (*.f64 (/.f64 x y) 1/3) 0)
(*.f64 1/3 (/.f64 x y))
(+.f64 0 (*.f64 (/.f64 x y) 1/3))
(*.f64 1/3 (/.f64 x y))
(+.f64 (.f64 (/.f64 x y) 1/6) (.f64 (/.f64 x y) 1/6))
(*.f64 1/3 (/.f64 x y))
(-.f64 (*.f64 (/.f64 x y) 1/3) 0)
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 (/.f64 x y) 1/3) 1)
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 (/.f64 x y) 2/3) 2)
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 (/.f64 x y) 4/3) 4)
(*.f64 1/3 (/.f64 x y))
(/.f64 (.f64 2 (.f64 (/.f64 x y) 4/3)) 8)
(*.f64 1/3 (/.f64 x y))
(/.f64 (.f64 2 (.f64 2 (*.f64 (/.f64 x y) 4/3))) 16)
(*.f64 1/3 (/.f64 x y))
(pow.f64 (*.f64 (/.f64 x y) 1/3) 1)
(*.f64 1/3 (/.f64 x y))

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 (/.f64 1/3 y) x)
✓	0.4b	(/.f64 1/3 y)

Compiler

Compiled 13 to 8 computations (38.5% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

9 calls:

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

rewrite81.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1268×	`rational.json-1`
1268×	`rational.json-2`
1268×	`rational.json-3`
1266×	`rational.json-4`
1252×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	20
1	49	20
2	123	20
3	285	20
4	621	20
5	1974	20
6	5066	20

Stop Event

1×	node limit

Counts

2 → 102

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/3 y) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1/3 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (/.f64 -1/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/6 y) (/.f64 1/6 y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1/3 y) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 -1/3 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 3 (*.f64 y (*.f64 y 9))))))) (#(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 2 (/.f64 1/6 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2/3 y) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 3) (/.f64 1 (*.f64 y (*.f64 y 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 6) (/.f64 1/2 (*.f64 y (*.f64 y 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (/.f64 1/3 y) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1/3 y) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3 (/.f64 y (*.f64 y (*.f64 y 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 2/3 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (/.f64 1/3 y) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 6 (/.f64 (*.f64 y 1/2) (*.f64 y (*.f64 y 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/6 y) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 3/2) (/.f64 2 (*.f64 y (*.f64 y 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3/2 (/.f64 (+.f64 y y) (*.f64 y (*.f64 y 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (*.f64 y (*.f64 y 9))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 y y) (*.f64 y (*.f64 y 9))) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/3 y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 y (*.f64 y 9))) (*.f64 y 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 y (*.f64 y 9))) (*.f64 y 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 3 (*.f64 y (*.f64 y 9))) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (*.f64 y (*.f64 y 9))) (*.f64 y 6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 y 1/2) (*.f64 y (*.f64 y 9))) 6)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1/3 y) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/3 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 -1/3 y))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1/3 y) x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 1/3 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/6 (/.f64 y x)) (/.f64 1/6 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (/.f64 1/3 y) x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/3 (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (*.f64 y 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 (*.f64 y (*.f64 y 9)) (*.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1/3 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 y (/.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2/3 (*.f64 y (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (*.f64 6 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x x) (*.f64 y 6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4/3 (*.f64 2 (*.f64 y (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4/3 (/.f64 (*.f64 y 4) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 2/3 (/.f64 y x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/3 (neg.f64 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (*.f64 2 (*.f64 6 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (/.f64 (*.f64 y 12) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 8/3 (*.f64 2 (/.f64 (*.f64 y 4) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 8/3 (*.f64 2 (*.f64 2 (*.f64 y (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2/3 (neg.f64 (*.f64 y (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 4) (*.f64 y 12))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 4/3 (/.f64 y x)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (*.f64 y (/.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 8 (*.f64 2 (*.f64 2 (*.f64 6 (/.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 8 (*.f64 2 (/.f64 (*.f64 y 12) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 8) (*.f64 2 (*.f64 y 12)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -4/3 (-.f64 0 (*.f64 2 (*.f64 y (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -4/3 (-.f64 0 (/.f64 (*.f64 y 4) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1/3 y) (*.f64 x 8)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x y) 3)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 1/2) (*.f64 y 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 1/2) (/.f64 (*.f64 y (*.f64 y 9)) (*.f64 y 6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 x) (neg.f64 (*.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 x) (-.f64 0 (/.f64 (*.f64 y (*.f64 y 9)) (*.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 6 (/.f64 y x))) (*.f64 (*.f64 6 (/.f64 y x)) (*.f64 6 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (/.f64 1/3 y) (*.f64 x 8))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (/.f64 x y)) 6)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (neg.f64 x)) (*.f64 2 (neg.f64 (*.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (neg.f64 (*.f64 6 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 x 8)) (*.f64 2 (*.f64 2 (*.f64 y 12))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x 4) (*.f64 y 3/2)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x 3) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (*.f64 y 1/2)) 6)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (+.f64 y y)) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -4 (-.f64 0 (*.f64 2 (*.f64 6 (/.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -4 (-.f64 0 (/.f64 (*.f64 y 12) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 x x)) (neg.f64 (*.f64 y 6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x 4)) (neg.f64 (*.f64 y 12)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (/.f64 x (*.f64 y 1/2))) 12)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (/.f64 1/3 y) (*.f64 x 8)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (/.f64 x y))) 12)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (neg.f64 x))) (*.f64 2 (*.f64 2 (neg.f64 (*.f64 y 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (/.f64 (*.f64 x 4) (*.f64 y 3/2))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (/.f64 x 3)) (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (neg.f64 (+.f64 x x))) (*.f64 2 (neg.f64 (*.f64 y 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x 1/2)) (neg.f64 (*.f64 y 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x 1/2)) (-.f64 0 (/.f64 (*.f64 y (*.f64 y 9)) (*.f64 y 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x 8)) (-.f64 0 (*.f64 2 (*.f64 y 12))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (*.f64 x 4))) (*.f64 y 12))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 x 3)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (+.f64 x x))) (*.f64 y 6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (+.f64 x x))) (neg.f64 (neg.f64 (*.f64 y 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (*.f64 x 1/2))) (*.f64 y 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (neg.f64 x))) (-.f64 0 (*.f64 2 (neg.f64 (*.f64 y 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (/.f64 x 3))) (*.f64 y -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (/.f64 x 3))) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (neg.f64 (+.f64 x x)))) (neg.f64 (*.f64 y 6)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 1/3 y) x) 1)))))

simplify86.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

1718×	`rational.json-simplify-35`
1464×	`rational.json-simplify-49`
1118×	`rational.json-simplify-46`
1012×	`rational.json-simplify-44`
778×	`rational.json-simplify-2`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	235	1932
1	734	1926
2	2036	1824
3	7301	1824

Stop Event

1×	node limit

Counts

126 → 122

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 (/.f64 1/3 y) 0)
(+.f64 0 (/.f64 1/3 y))
(+.f64 -1 (-.f64 1 (/.f64 -1/3 y)))
(+.f64 (/.f64 1/6 y) (/.f64 1/6 y))
(-.f64 (/.f64 1/3 y) 0)
(-.f64 0 (/.f64 -1/3 y))
(.f64 y (/.f64 3 (.f64 y (*.f64 y 9))))
(*.f64 (/.f64 1/3 y) 1)
(*.f64 1 (/.f64 1/3 y))
(*.f64 2 (/.f64 1/6 y))
(*.f64 (/.f64 2/3 y) 1/2)
(.f64 (.f64 y 3) (/.f64 1 (.f64 y (.f64 y 9))))
(.f64 (.f64 y 6) (/.f64 1/2 (.f64 y (.f64 y 9))))
(*.f64 4 (/.f64 (/.f64 1/3 y) 4))
(.f64 (.f64 (/.f64 1/3 y) 4) 1/4)
(.f64 3 (/.f64 y (.f64 y (*.f64 y 9))))
(*.f64 1/2 (/.f64 2/3 y))
(.f64 1/4 (.f64 (/.f64 1/3 y) 4))
(.f64 6 (/.f64 (.f64 y 1/2) (.f64 y (.f64 y 9))))
(*.f64 (/.f64 1/6 y) 2)
(.f64 (.f64 y 3/2) (/.f64 2 (.f64 y (.f64 y 9))))
(.f64 3/2 (/.f64 (+.f64 y y) (.f64 y (*.f64 y 9))))
(.f64 (/.f64 y (.f64 y (*.f64 y 9))) 3)
(.f64 (/.f64 (+.f64 y y) (.f64 y (*.f64 y 9))) 3/2)
(*.f64 (/.f64 -1/3 y) -1)
(.f64 (/.f64 1 (.f64 y (.f64 y 9))) (.f64 y 3))
(.f64 (/.f64 2 (.f64 y (.f64 y 9))) (.f64 y 3/2))
(.f64 (/.f64 3 (.f64 y (*.f64 y 9))) y)
(.f64 (/.f64 1/2 (.f64 y (.f64 y 9))) (.f64 y 6))
(.f64 (/.f64 (.f64 y 1/2) (.f64 y (.f64 y 9))) 6)
(*.f64 (/.f64 (/.f64 1/3 y) 4) 4)
(pow.f64 (/.f64 1/3 y) 1)
(neg.f64 (/.f64 -1/3 y))
(+.f64 (*.f64 (/.f64 1/3 y) x) 0)
(+.f64 0 (*.f64 (/.f64 1/3 y) x))
(+.f64 (/.f64 1/6 (/.f64 y x)) (/.f64 1/6 (/.f64 y x)))
(-.f64 (*.f64 (/.f64 1/3 y) x) 0)
(/.f64 1/3 (/.f64 y x))
(/.f64 x (*.f64 y 3))
(/.f64 x (/.f64 (.f64 y (.f64 y 9)) (*.f64 y 3)))
(/.f64 (*.f64 (/.f64 1/3 y) x) 1)
(/.f64 1 (*.f64 y (/.f64 3 x)))
(/.f64 2/3 (*.f64 y (/.f64 2 x)))
(/.f64 2 (*.f64 6 (/.f64 y x)))
(/.f64 (+.f64 x x) (*.f64 y 6))
(/.f64 4/3 (.f64 2 (.f64 y (/.f64 2 x))))
(/.f64 4/3 (/.f64 (*.f64 y 4) x))
(/.f64 (/.f64 2/3 (/.f64 y x)) 2)
(/.f64 -1/3 (neg.f64 (/.f64 y x)))
(/.f64 4 (.f64 2 (.f64 6 (/.f64 y x))))
(/.f64 4 (/.f64 (*.f64 y 12) x))
(/.f64 8/3 (.f64 2 (/.f64 (.f64 y 4) x)))
(/.f64 8/3 (.f64 2 (.f64 2 (*.f64 y (/.f64 2 x)))))
(/.f64 -2/3 (neg.f64 (*.f64 y (/.f64 2 x))))
(/.f64 (.f64 x 4) (.f64 y 12))
(/.f64 (/.f64 4/3 (/.f64 y x)) 4)
(/.f64 -1 (neg.f64 (*.f64 y (/.f64 3 x))))
(/.f64 8 (.f64 2 (.f64 2 (*.f64 6 (/.f64 y x)))))
(/.f64 8 (.f64 2 (/.f64 (.f64 y 12) x)))
(/.f64 (.f64 x 8) (.f64 2 (*.f64 y 12)))
(/.f64 -4/3 (-.f64 0 (.f64 2 (.f64 y (/.f64 2 x)))))
(/.f64 -4/3 (-.f64 0 (/.f64 (*.f64 y 4) x)))
(/.f64 (.f64 (/.f64 1/3 y) (.f64 x 8)) 8)
(/.f64 (/.f64 x y) 3)
(/.f64 (.f64 x 1/2) (.f64 y 3/2))
(/.f64 (.f64 x 1/2) (/.f64 (.f64 y (.f64 y 9)) (.f64 y 6)))
(/.f64 (neg.f64 x) (neg.f64 (*.f64 y 3)))
(/.f64 (neg.f64 x) (-.f64 0 (/.f64 (.f64 y (.f64 y 9)) (*.f64 y 3))))
(/.f64 (.f64 2 (.f64 6 (/.f64 y x))) (.f64 (.f64 6 (/.f64 y x)) (*.f64 6 (/.f64 y x))))
(/.f64 (.f64 2 (.f64 (/.f64 1/3 y) (*.f64 x 8))) 16)
(/.f64 (*.f64 2 (/.f64 x y)) 6)
(/.f64 (.f64 2 (neg.f64 x)) (.f64 2 (neg.f64 (*.f64 y 3))))
(/.f64 -2 (neg.f64 (*.f64 6 (/.f64 y x))))
(/.f64 (.f64 2 (.f64 x 8)) (.f64 2 (.f64 2 (*.f64 y 12))))
(/.f64 (/.f64 (.f64 x 4) (.f64 y 3/2)) 8)
(/.f64 (/.f64 x 3) y)
(/.f64 (/.f64 x (*.f64 y 1/2)) 6)
(/.f64 (/.f64 x (+.f64 y y)) 3/2)
(/.f64 -4 (-.f64 0 (.f64 2 (.f64 6 (/.f64 y x)))))
(/.f64 -4 (-.f64 0 (/.f64 (*.f64 y 12) x)))
(/.f64 (neg.f64 (+.f64 x x)) (neg.f64 (*.f64 y 6)))
(/.f64 (neg.f64 (.f64 x 4)) (neg.f64 (.f64 y 12)))
(/.f64 (.f64 2 (/.f64 x (.f64 y 1/2))) 12)
(/.f64 (.f64 2 (.f64 2 (.f64 (/.f64 1/3 y) (.f64 x 8)))) 32)
(/.f64 (.f64 2 (.f64 2 (/.f64 x y))) 12)
(/.f64 (.f64 2 (.f64 2 (neg.f64 x))) (.f64 2 (.f64 2 (neg.f64 (*.f64 y 3)))))
(/.f64 (.f64 2 (/.f64 (.f64 x 4) (*.f64 y 3/2))) 16)
(/.f64 (*.f64 2 (/.f64 x 3)) (+.f64 y y))
(/.f64 (.f64 2 (neg.f64 (+.f64 x x))) (.f64 2 (neg.f64 (*.f64 y 6))))
(/.f64 (neg.f64 (.f64 x 1/2)) (neg.f64 (.f64 y 3/2)))
(/.f64 (neg.f64 (.f64 x 1/2)) (-.f64 0 (/.f64 (.f64 y (.f64 y 9)) (.f64 y 6))))
(/.f64 (neg.f64 (.f64 x 8)) (-.f64 0 (.f64 2 (*.f64 y 12))))
(/.f64 (neg.f64 (neg.f64 (.f64 x 4))) (.f64 y 12))
(/.f64 (neg.f64 (/.f64 x 3)) (neg.f64 y))
(/.f64 (neg.f64 (neg.f64 (+.f64 x x))) (*.f64 y 6))
(/.f64 (neg.f64 (neg.f64 (+.f64 x x))) (neg.f64 (neg.f64 (*.f64 y 6))))
(/.f64 (neg.f64 (neg.f64 (.f64 x 1/2))) (.f64 y 3/2))
(/.f64 (neg.f64 (.f64 2 (neg.f64 x))) (-.f64 0 (.f64 2 (neg.f64 (*.f64 y 3)))))
(/.f64 (neg.f64 (.f64 2 (/.f64 x 3))) (.f64 y -2))
(/.f64 (neg.f64 (neg.f64 (/.f64 x 3))) y)
(/.f64 (neg.f64 (neg.f64 (neg.f64 (+.f64 x x)))) (neg.f64 (*.f64 y 6)))
(pow.f64 (*.f64 (/.f64 1/3 y) x) 1)

Outputs
(*.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 (/.f64 1/3 y) 0)
(/.f64 1/3 y)
(+.f64 0 (/.f64 1/3 y))
(/.f64 1/3 y)
(+.f64 -1 (-.f64 1 (/.f64 -1/3 y)))
(/.f64 1/3 y)
(+.f64 (/.f64 1/6 y) (/.f64 1/6 y))
(-.f64 (/.f64 1/3 y) 0)
(/.f64 1/3 y)
(-.f64 0 (/.f64 -1/3 y))
(/.f64 1/3 y)
(.f64 y (/.f64 3 (.f64 y (*.f64 y 9))))
(.f64 y (/.f64 3 (.f64 9 (*.f64 y y))))
(.f64 y (/.f64 1/3 (.f64 y y)))
(*.f64 (/.f64 1/3 y) 1)
(/.f64 1/3 y)
(*.f64 1 (/.f64 1/3 y))
(/.f64 1/3 y)
(*.f64 2 (/.f64 1/6 y))
(*.f64 (/.f64 1/6 y) 2)
(*.f64 (/.f64 2/3 y) 1/2)
(.f64 (.f64 y 3) (/.f64 1 (.f64 y (.f64 y 9))))
(.f64 y (.f64 3 (/.f64 1 (.f64 y (.f64 y 9)))))
(.f64 y (.f64 3 (/.f64 1 (.f64 9 (.f64 y y)))))
(.f64 3 (.f64 y (/.f64 (/.f64 1/9 y) y)))
(.f64 (.f64 y 6) (/.f64 1/2 (.f64 y (.f64 y 9))))
(.f64 (.f64 y 6) (/.f64 1/2 (.f64 9 (.f64 y y))))
(.f64 6 (.f64 (/.f64 y y) (/.f64 1/18 y)))
(*.f64 4 (/.f64 (/.f64 1/3 y) 4))
(/.f64 1/3 y)
(.f64 (.f64 (/.f64 1/3 y) 4) 1/4)
(/.f64 1/3 y)
(.f64 3 (/.f64 y (.f64 y (*.f64 y 9))))
(.f64 (.f64 y 6) (/.f64 1/2 (.f64 y (.f64 y 9))))
(.f64 (.f64 y 6) (/.f64 1/2 (.f64 9 (.f64 y y))))
(.f64 6 (.f64 (/.f64 y y) (/.f64 1/18 y)))
(*.f64 1/2 (/.f64 2/3 y))
(*.f64 (/.f64 2/3 y) 1/2)
(.f64 1/4 (.f64 (/.f64 1/3 y) 4))
(/.f64 1/3 y)
(.f64 6 (/.f64 (.f64 y 1/2) (.f64 y (.f64 y 9))))
(.f64 (.f64 y 6) (/.f64 1/2 (.f64 y (.f64 y 9))))
(.f64 (.f64 y 6) (/.f64 1/2 (.f64 9 (.f64 y y))))
(.f64 6 (.f64 (/.f64 y y) (/.f64 1/18 y)))
(*.f64 (/.f64 1/6 y) 2)
(.f64 (.f64 y 3/2) (/.f64 2 (.f64 y (.f64 y 9))))
(.f64 y (.f64 3/2 (/.f64 (/.f64 2 y) (*.f64 y 9))))
(.f64 y (.f64 3/2 (/.f64 2 (.f64 9 (.f64 y y)))))
(.f64 y (.f64 3/2 (/.f64 (/.f64 2/9 y) y)))
(.f64 3/2 (/.f64 (+.f64 y y) (.f64 y (*.f64 y 9))))
(.f64 3/2 (/.f64 (+.f64 y y) (.f64 9 (*.f64 y y))))
(.f64 (/.f64 y (.f64 y (*.f64 y 9))) 3)
(.f64 (.f64 y 6) (/.f64 1/2 (.f64 y (.f64 y 9))))
(.f64 (.f64 y 6) (/.f64 1/2 (.f64 9 (.f64 y y))))
(.f64 6 (.f64 (/.f64 y y) (/.f64 1/18 y)))
(.f64 (/.f64 (+.f64 y y) (.f64 y (*.f64 y 9))) 3/2)
(.f64 3/2 (/.f64 (+.f64 y y) (.f64 y (*.f64 y 9))))
(.f64 3/2 (/.f64 (+.f64 y y) (.f64 9 (*.f64 y y))))
(*.f64 (/.f64 -1/3 y) -1)
(/.f64 1/3 y)
(.f64 (/.f64 1 (.f64 y (.f64 y 9))) (.f64 y 3))
(.f64 y (.f64 3 (/.f64 1 (.f64 y (.f64 y 9)))))
(.f64 y (.f64 3 (/.f64 1 (.f64 9 (.f64 y y)))))
(.f64 3 (.f64 y (/.f64 (/.f64 1/9 y) y)))
(.f64 (/.f64 2 (.f64 y (.f64 y 9))) (.f64 y 3/2))
(.f64 y (.f64 3/2 (/.f64 (/.f64 2 y) (*.f64 y 9))))
(.f64 y (.f64 3/2 (/.f64 2 (.f64 9 (.f64 y y)))))
(.f64 y (.f64 3/2 (/.f64 (/.f64 2/9 y) y)))
(.f64 (/.f64 3 (.f64 y (*.f64 y 9))) y)
(.f64 y (/.f64 3 (.f64 y (*.f64 y 9))))
(.f64 y (/.f64 3 (.f64 9 (*.f64 y y))))
(.f64 y (/.f64 1/3 (.f64 y y)))
(.f64 (/.f64 1/2 (.f64 y (.f64 y 9))) (.f64 y 6))
(.f64 (.f64 y 6) (/.f64 1/2 (.f64 y (.f64 y 9))))
(.f64 (.f64 y 6) (/.f64 1/2 (.f64 9 (.f64 y y))))
(.f64 6 (.f64 (/.f64 y y) (/.f64 1/18 y)))
(.f64 (/.f64 (.f64 y 1/2) (.f64 y (.f64 y 9))) 6)
(.f64 (.f64 y 6) (/.f64 1/2 (.f64 y (.f64 y 9))))
(.f64 (.f64 y 6) (/.f64 1/2 (.f64 9 (.f64 y y))))
(.f64 6 (.f64 (/.f64 y y) (/.f64 1/18 y)))
(*.f64 (/.f64 (/.f64 1/3 y) 4) 4)
(/.f64 1/3 y)
(pow.f64 (/.f64 1/3 y) 1)
(/.f64 1/3 y)
(neg.f64 (/.f64 -1/3 y))
(/.f64 1/3 y)
(+.f64 (*.f64 (/.f64 1/3 y) x) 0)
(*.f64 1/3 (/.f64 x y))
(+.f64 0 (*.f64 (/.f64 1/3 y) x))
(*.f64 1/3 (/.f64 x y))
(+.f64 (/.f64 1/6 (/.f64 y x)) (/.f64 1/6 (/.f64 y x)))
(+.f64 (/.f64 x (/.f64 y 1/6)) (/.f64 x (/.f64 y 1/6)))
(-.f64 (*.f64 (/.f64 1/3 y) x) 0)
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(*.f64 1/3 (/.f64 x y))
(/.f64 x (*.f64 y 3))
(*.f64 1/3 (/.f64 x y))
(/.f64 x (/.f64 (.f64 y (.f64 y 9)) (*.f64 y 3)))
(/.f64 x (.f64 (.f64 y 9) (/.f64 y (*.f64 y 3))))
(/.f64 (.f64 y 3) (/.f64 (.f64 9 (*.f64 y y)) x))
(*.f64 y (/.f64 (/.f64 1/3 y) (/.f64 y x)))
(/.f64 (*.f64 (/.f64 1/3 y) x) 1)
(*.f64 1/3 (/.f64 x y))
(/.f64 1 (*.f64 y (/.f64 3 x)))
(*.f64 1/3 (/.f64 x y))
(/.f64 2/3 (*.f64 y (/.f64 2 x)))
(*.f64 1/3 (/.f64 x y))
(/.f64 2 (*.f64 6 (/.f64 y x)))
(*.f64 1/3 (/.f64 x y))
(/.f64 (+.f64 x x) (*.f64 y 6))
(*.f64 1/3 (/.f64 x y))
(/.f64 4/3 (.f64 2 (.f64 y (/.f64 2 x))))
(*.f64 1/3 (/.f64 x y))
(/.f64 4/3 (/.f64 (*.f64 y 4) x))
(*.f64 1/3 (/.f64 x y))
(/.f64 (/.f64 2/3 (/.f64 y x)) 2)
(*.f64 1/3 (/.f64 x y))
(/.f64 -1/3 (neg.f64 (/.f64 y x)))
(*.f64 1/3 (/.f64 x y))
(/.f64 4 (.f64 2 (.f64 6 (/.f64 y x))))
(*.f64 1/3 (/.f64 x y))
(/.f64 4 (/.f64 (*.f64 y 12) x))
(*.f64 1/3 (/.f64 x y))
(/.f64 8/3 (.f64 2 (/.f64 (.f64 y 4) x)))
(*.f64 1/3 (/.f64 x y))
(/.f64 8/3 (.f64 2 (.f64 2 (*.f64 y (/.f64 2 x)))))
(*.f64 1/3 (/.f64 x y))
(/.f64 -2/3 (neg.f64 (*.f64 y (/.f64 2 x))))
(*.f64 1/3 (/.f64 x y))
(/.f64 (.f64 x 4) (.f64 y 12))
(*.f64 1/3 (/.f64 x y))
(/.f64 (/.f64 4/3 (/.f64 y x)) 4)
(*.f64 1/3 (/.f64 x y))
(/.f64 -1 (neg.f64 (*.f64 y (/.f64 3 x))))
(*.f64 1/3 (/.f64 x y))
(/.f64 8 (.f64 2 (.f64 2 (*.f64 6 (/.f64 y x)))))
(*.f64 1/3 (/.f64 x y))
(/.f64 8 (.f64 2 (/.f64 (.f64 y 12) x)))
(*.f64 1/3 (/.f64 x y))
(/.f64 (.f64 x 8) (.f64 2 (*.f64 y 12)))
(*.f64 1/3 (/.f64 x y))
(/.f64 -4/3 (-.f64 0 (.f64 2 (.f64 y (/.f64 2 x)))))
(*.f64 1/3 (/.f64 x y))
(/.f64 -4/3 (-.f64 0 (/.f64 (*.f64 y 4) x)))
(*.f64 1/3 (/.f64 x y))
(/.f64 (.f64 (/.f64 1/3 y) (.f64 x 8)) 8)
(*.f64 1/3 (/.f64 x y))
(/.f64 (/.f64 x y) 3)
(*.f64 1/3 (/.f64 x y))
(/.f64 (.f64 x 1/2) (.f64 y 3/2))
(*.f64 1/3 (/.f64 x y))
(/.f64 (.f64 x 1/2) (/.f64 (.f64 y (.f64 y 9)) (.f64 y 6)))
(/.f64 x (.f64 (.f64 y 9) (/.f64 y (*.f64 y 3))))
(/.f64 (.f64 y 3) (/.f64 (.f64 9 (*.f64 y y)) x))
(*.f64 y (/.f64 (/.f64 1/3 y) (/.f64 y x)))
(/.f64 (neg.f64 x) (neg.f64 (*.f64 y 3)))
(*.f64 1/3 (/.f64 x y))
(/.f64 (neg.f64 x) (-.f64 0 (/.f64 (.f64 y (.f64 y 9)) (*.f64 y 3))))
(/.f64 x (.f64 (.f64 y 9) (/.f64 y (*.f64 y 3))))
(/.f64 (.f64 y 3) (/.f64 (.f64 9 (*.f64 y y)) x))
(*.f64 y (/.f64 (/.f64 1/3 y) (/.f64 y x)))
(/.f64 (.f64 2 (.f64 6 (/.f64 y x))) (.f64 (.f64 6 (/.f64 y x)) (*.f64 6 (/.f64 y x))))
(.f64 (.f64 6 (/.f64 y x)) (/.f64 2 (.f64 (.f64 6 (/.f64 y x)) (*.f64 6 (/.f64 y x)))))
(.f64 (.f64 6 (/.f64 y x)) (/.f64 (/.f64 1/3 (/.f64 y x)) (*.f64 6 (/.f64 y x))))
(+.f64 (/.f64 1 (.f64 6 (/.f64 y x))) (/.f64 1 (.f64 6 (/.f64 y x))))
(/.f64 (.f64 2 (.f64 (/.f64 1/3 y) (*.f64 x 8))) 16)
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 2 (/.f64 x y)) 6)
(*.f64 1/3 (/.f64 x y))
(/.f64 (.f64 2 (neg.f64 x)) (.f64 2 (neg.f64 (*.f64 y 3))))
(*.f64 1/3 (/.f64 x y))
(/.f64 -2 (neg.f64 (*.f64 6 (/.f64 y x))))
(*.f64 1/3 (/.f64 x y))
(/.f64 (.f64 2 (.f64 x 8)) (.f64 2 (.f64 2 (*.f64 y 12))))
(*.f64 1/3 (/.f64 x y))
(/.f64 (/.f64 (.f64 x 4) (.f64 y 3/2)) 8)
(*.f64 1/3 (/.f64 x y))
(/.f64 (/.f64 x 3) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 (/.f64 x (*.f64 y 1/2)) 6)
(*.f64 1/3 (/.f64 x y))
(/.f64 (/.f64 x (+.f64 y y)) 3/2)
(*.f64 1/3 (/.f64 x y))
(/.f64 -4 (-.f64 0 (.f64 2 (.f64 6 (/.f64 y x)))))
(*.f64 1/3 (/.f64 x y))
(/.f64 -4 (-.f64 0 (/.f64 (*.f64 y 12) x)))
(*.f64 1/3 (/.f64 x y))
(/.f64 (neg.f64 (+.f64 x x)) (neg.f64 (*.f64 y 6)))
(*.f64 1/3 (/.f64 x y))
(/.f64 (neg.f64 (.f64 x 4)) (neg.f64 (.f64 y 12)))
(*.f64 1/3 (/.f64 x y))
(/.f64 (.f64 2 (/.f64 x (.f64 y 1/2))) 12)
(*.f64 1/3 (/.f64 x y))
(/.f64 (.f64 2 (.f64 2 (.f64 (/.f64 1/3 y) (.f64 x 8)))) 32)
(*.f64 1/3 (/.f64 x y))
(/.f64 (.f64 2 (.f64 2 (/.f64 x y))) 12)
(*.f64 1/3 (/.f64 x y))
(/.f64 (.f64 2 (.f64 2 (neg.f64 x))) (.f64 2 (.f64 2 (neg.f64 (*.f64 y 3)))))
(*.f64 1/3 (/.f64 x y))
(/.f64 (.f64 2 (/.f64 (.f64 x 4) (*.f64 y 3/2))) 16)
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 2 (/.f64 x 3)) (+.f64 y y))
(*.f64 1/3 (/.f64 x y))
(/.f64 (.f64 2 (neg.f64 (+.f64 x x))) (.f64 2 (neg.f64 (*.f64 y 6))))
(*.f64 1/3 (/.f64 x y))
(/.f64 (neg.f64 (.f64 x 1/2)) (neg.f64 (.f64 y 3/2)))
(*.f64 1/3 (/.f64 x y))
(/.f64 (neg.f64 (.f64 x 1/2)) (-.f64 0 (/.f64 (.f64 y (.f64 y 9)) (.f64 y 6))))
(/.f64 x (.f64 (.f64 y 9) (/.f64 y (*.f64 y 3))))
(/.f64 (.f64 y 3) (/.f64 (.f64 9 (*.f64 y y)) x))
(*.f64 y (/.f64 (/.f64 1/3 y) (/.f64 y x)))
(/.f64 (neg.f64 (.f64 x 8)) (-.f64 0 (.f64 2 (*.f64 y 12))))
(*.f64 1/3 (/.f64 x y))
(/.f64 (neg.f64 (neg.f64 (.f64 x 4))) (.f64 y 12))
(*.f64 1/3 (/.f64 x y))
(/.f64 (neg.f64 (/.f64 x 3)) (neg.f64 y))
(*.f64 1/3 (/.f64 x y))
(/.f64 (neg.f64 (neg.f64 (+.f64 x x))) (*.f64 y 6))
(*.f64 1/3 (/.f64 x y))
(/.f64 (neg.f64 (neg.f64 (+.f64 x x))) (neg.f64 (neg.f64 (*.f64 y 6))))
(*.f64 1/3 (/.f64 x y))
(/.f64 (neg.f64 (neg.f64 (.f64 x 1/2))) (.f64 y 3/2))
(*.f64 1/3 (/.f64 x y))
(/.f64 (neg.f64 (.f64 2 (neg.f64 x))) (-.f64 0 (.f64 2 (neg.f64 (*.f64 y 3)))))
(*.f64 1/3 (/.f64 x y))
(/.f64 (neg.f64 (.f64 2 (/.f64 x 3))) (.f64 y -2))
(*.f64 1/3 (/.f64 x y))
(/.f64 (neg.f64 (neg.f64 (/.f64 x 3))) y)
(*.f64 1/3 (/.f64 x y))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (+.f64 x x)))) (neg.f64 (*.f64 y 6)))
(*.f64 1/3 (/.f64 x y))
(pow.f64 (*.f64 (/.f64 1/3 y) x) 1)
(*.f64 1/3 (/.f64 x y))

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 x (.f64 2/3 (/.f64 1/2 y)))
✓	0.4b	(*.f64 2/3 (/.f64 1/2 y))

Compiler

Compiled 21 to 15 computations (28.6% saved)

series1.0ms (0%)

Counts

2 → 36

Calls

9 calls:

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

rewrite92.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1628×	`rational.json-1`
1628×	`rational.json-2`
1628×	`rational.json-4`
1628×	`rational.json-3`
1190×	`rational.json-simplify-35`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	63	32
2	149	32
3	352	26
4	786	26
5	2578	26
6	6418	26

Stop Event

1×	node limit

Counts

2 → 42

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 y) 1/3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 1 y) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2/3 (/.f64 1/4 y)) (*.f64 2/3 (/.f64 1/4 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (/.f64 1 y) 1/3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 y) 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2/3 (/.f64 1 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 y) 4/3) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 y) 8/3) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (/.f64 1 y) 8/3)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (/.f64 1 y) 8/3)) (*.f64 2 (*.f64 (/.f64 1 y) 8/3))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 1 y) 1/3) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 x y) 1/3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 x y) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 2/3 (/.f64 x y)) 4) (/.f64 (*.f64 2/3 (/.f64 x y)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (/.f64 x y) 1/3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 y (*.f64 2/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 x y) 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 y y) (*.f64 2/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (+.f64 (/.f64 y (*.f64 2/3 x)) (/.f64 y (*.f64 2/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 (/.f64 y 1/4) (*.f64 2/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (+.f64 (/.f64 (+.f64 y y) (*.f64 2/3 x)) (/.f64 (+.f64 y y) (*.f64 2/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2/3 (/.f64 x y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2/3 x) (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2/3 x) (/.f64 (*.f64 y (/.f64 y 1/4)) (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (/.f64 (*.f64 y 8) (*.f64 2/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (+.f64 (/.f64 (/.f64 y 1/4) (*.f64 2/3 x)) (/.f64 (/.f64 y 1/4) (*.f64 2/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 x y) 4/3) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 8 (+.f64 (/.f64 (*.f64 y 8) (*.f64 2/3 x)) (/.f64 (*.f64 y 8) (*.f64 2/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 x y) 8/3) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 4/3) (/.f64 y 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 2/3 (/.f64 x y)) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (/.f64 x y) 8/3)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 8/3) (*.f64 y 8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 2/3 x) 2) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2/3 x)) (/.f64 y -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 (*.f64 2/3 x) 2) (/.f64 (*.f64 2/3 x) 2)) (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (/.f64 x y) 8/3)) (*.f64 2 (*.f64 (/.f64 x y) 8/3))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (*.f64 2/3 x)) (neg.f64 (*.f64 2/3 x))) (*.f64 (neg.f64 y) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x 4/3)) (neg.f64 (/.f64 y 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (*.f64 2/3 x) 2)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (*.f64 2/3 x))) (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 x y) 1/3) 1)))))

simplify113.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

1010×	`rational.json-simplify-43`
916×	`rational.json-simplify-1`
880×	`rational.json-simplify-2`
708×	`rational.json-simplify-35`
700×	`rational.json-simplify-51`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	107	942
1	299	942
2	821	942
3	3036	942
4	5649	942
5	7659	942

Stop Event

1×	node limit

Counts

78 → 47

Calls

Call 1

Inputs
(/.f64 1/3 y)
(/.f64 1/3 y)
(/.f64 1/3 y)
(/.f64 1/3 y)
(/.f64 1/3 y)
(/.f64 1/3 y)
(/.f64 1/3 y)
(/.f64 1/3 y)
(/.f64 1/3 y)
(/.f64 1/3 y)
(/.f64 1/3 y)
(/.f64 1/3 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 x y))
(+.f64 (*.f64 (/.f64 1 y) 1/3) 0)
(+.f64 0 (*.f64 (/.f64 1 y) 1/3))
(+.f64 (.f64 2/3 (/.f64 1/4 y)) (.f64 2/3 (/.f64 1/4 y)))
(-.f64 (*.f64 (/.f64 1 y) 1/3) 0)
(/.f64 (*.f64 (/.f64 1 y) 1/3) 1)
(/.f64 (*.f64 2/3 (/.f64 1 y)) 2)
(/.f64 (*.f64 (/.f64 1 y) 4/3) 4)
(/.f64 (*.f64 (/.f64 1 y) 8/3) 8)
(/.f64 (.f64 2 (.f64 (/.f64 1 y) 8/3)) 16)
(/.f64 (+.f64 (.f64 2 (.f64 (/.f64 1 y) 8/3)) (.f64 2 (.f64 (/.f64 1 y) 8/3))) 32)
(pow.f64 (*.f64 (/.f64 1 y) 1/3) 1)
(+.f64 (*.f64 (/.f64 x y) 1/3) 0)
(+.f64 0 (*.f64 (/.f64 x y) 1/3))
(+.f64 (/.f64 (.f64 2/3 (/.f64 x y)) 4) (/.f64 (.f64 2/3 (/.f64 x y)) 4))
(-.f64 (*.f64 (/.f64 x y) 1/3) 0)
(/.f64 1/2 (/.f64 y (*.f64 2/3 x)))
(/.f64 (*.f64 (/.f64 x y) 1/3) 1)
(/.f64 1 (/.f64 (+.f64 y y) (*.f64 2/3 x)))
(/.f64 1 (+.f64 (/.f64 y (.f64 2/3 x)) (/.f64 y (.f64 2/3 x))))
(/.f64 2 (/.f64 (/.f64 y 1/4) (*.f64 2/3 x)))
(/.f64 2 (+.f64 (/.f64 (+.f64 y y) (.f64 2/3 x)) (/.f64 (+.f64 y y) (.f64 2/3 x))))
(/.f64 (*.f64 2/3 (/.f64 x y)) 2)
(/.f64 (*.f64 2/3 x) (+.f64 y y))
(/.f64 (.f64 2/3 x) (/.f64 (.f64 y (/.f64 y 1/4)) (+.f64 y y)))
(/.f64 4 (/.f64 (.f64 y 8) (.f64 2/3 x)))
(/.f64 4 (+.f64 (/.f64 (/.f64 y 1/4) (.f64 2/3 x)) (/.f64 (/.f64 y 1/4) (.f64 2/3 x))))
(/.f64 (*.f64 (/.f64 x y) 4/3) 4)
(/.f64 8 (+.f64 (/.f64 (.f64 y 8) (.f64 2/3 x)) (/.f64 (.f64 y 8) (.f64 2/3 x))))
(/.f64 (*.f64 (/.f64 x y) 8/3) 8)
(/.f64 (*.f64 x 4/3) (/.f64 y 1/4))
(/.f64 (/.f64 (*.f64 2/3 (/.f64 x y)) 4) 1/2)
(/.f64 (.f64 2 (.f64 (/.f64 x y) 8/3)) 16)
(/.f64 (.f64 x 8/3) (.f64 y 8))
(/.f64 (/.f64 (*.f64 2/3 x) 2) y)
(/.f64 (neg.f64 (*.f64 2/3 x)) (/.f64 y -1/2))
(/.f64 (+.f64 (/.f64 (.f64 2/3 x) 2) (/.f64 (.f64 2/3 x) 2)) (+.f64 y y))
(/.f64 (+.f64 (.f64 2 (.f64 (/.f64 x y) 8/3)) (.f64 2 (.f64 (/.f64 x y) 8/3))) 32)
(/.f64 (+.f64 (neg.f64 (.f64 2/3 x)) (neg.f64 (.f64 2/3 x))) (*.f64 (neg.f64 y) 4))
(/.f64 (neg.f64 (*.f64 x 4/3)) (neg.f64 (/.f64 y 1/4)))
(/.f64 (neg.f64 (/.f64 (*.f64 2/3 x) 2)) (neg.f64 y))
(/.f64 (neg.f64 (neg.f64 (*.f64 2/3 x))) (+.f64 y y))
(pow.f64 (*.f64 (/.f64 x y) 1/3) 1)

Outputs
(/.f64 1/3 y)
(/.f64 1/3 y)
(/.f64 1/3 y)
(/.f64 1/3 y)
(/.f64 1/3 y)
(/.f64 1/3 y)
(/.f64 1/3 y)
(/.f64 1/3 y)
(/.f64 1/3 y)
(/.f64 1/3 y)
(/.f64 1/3 y)
(/.f64 1/3 y)
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 1/3 y) x)
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 1/3 y) x)
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 1/3 y) x)
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 1/3 y) x)
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 1/3 y) x)
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 1/3 y) x)
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 1/3 y) x)
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 1/3 y) x)
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 1/3 y) x)
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 1/3 y) x)
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 1/3 y) x)
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 1/3 y) x)
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 1/3 y) x)
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 1/3 y) x)
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 1/3 y) x)
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 1/3 y) x)
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 1/3 y) x)
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 1/3 y) x)
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 1/3 y) x)
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 1/3 y) x)
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 1/3 y) x)
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 1/3 y) x)
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 1/3 y) x)
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 1/3 y) x)
(+.f64 (*.f64 (/.f64 1 y) 1/3) 0)
(*.f64 1/3 (/.f64 1 y))
(*.f64 8/3 (/.f64 1/8 y))
(+.f64 0 (*.f64 (/.f64 1 y) 1/3))
(*.f64 1/3 (/.f64 1 y))
(*.f64 8/3 (/.f64 1/8 y))
(+.f64 (.f64 2/3 (/.f64 1/4 y)) (.f64 2/3 (/.f64 1/4 y)))
(*.f64 1/3 (/.f64 1 y))
(*.f64 8/3 (/.f64 1/8 y))
(-.f64 (*.f64 (/.f64 1 y) 1/3) 0)
(*.f64 1/3 (/.f64 1 y))
(*.f64 8/3 (/.f64 1/8 y))
(/.f64 (*.f64 (/.f64 1 y) 1/3) 1)
(*.f64 1/3 (/.f64 1 y))
(*.f64 8/3 (/.f64 1/8 y))
(/.f64 (*.f64 2/3 (/.f64 1 y)) 2)
(*.f64 1/3 (/.f64 1 y))
(*.f64 8/3 (/.f64 1/8 y))
(/.f64 (*.f64 (/.f64 1 y) 4/3) 4)
(*.f64 1/3 (/.f64 1 y))
(*.f64 8/3 (/.f64 1/8 y))
(/.f64 (*.f64 (/.f64 1 y) 8/3) 8)
(*.f64 1/3 (/.f64 1 y))
(*.f64 8/3 (/.f64 1/8 y))
(/.f64 (.f64 2 (.f64 (/.f64 1 y) 8/3)) 16)
(*.f64 1/3 (/.f64 1 y))
(*.f64 8/3 (/.f64 1/8 y))
(/.f64 (+.f64 (.f64 2 (.f64 (/.f64 1 y) 8/3)) (.f64 2 (.f64 (/.f64 1 y) 8/3))) 32)
(*.f64 1/3 (/.f64 1 y))
(*.f64 8/3 (/.f64 1/8 y))
(pow.f64 (*.f64 (/.f64 1 y) 1/3) 1)
(*.f64 1/3 (/.f64 1 y))
(*.f64 8/3 (/.f64 1/8 y))
(+.f64 (*.f64 (/.f64 x y) 1/3) 0)
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 1/3 y) x)
(+.f64 0 (*.f64 (/.f64 x y) 1/3))
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 1/3 y) x)
(+.f64 (/.f64 (.f64 2/3 (/.f64 x y)) 4) (/.f64 (.f64 2/3 (/.f64 x y)) 4))
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 1/3 y) x)
(-.f64 (*.f64 (/.f64 x y) 1/3) 0)
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 1/3 y) x)
(/.f64 1/2 (/.f64 y (*.f64 2/3 x)))
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 1/3 y) x)
(/.f64 (*.f64 (/.f64 x y) 1/3) 1)
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 1/3 y) x)
(/.f64 1 (/.f64 (+.f64 y y) (*.f64 2/3 x)))
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 1/3 y) x)
(/.f64 1 (+.f64 (/.f64 y (.f64 2/3 x)) (/.f64 y (.f64 2/3 x))))
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 1/3 y) x)
(/.f64 2 (/.f64 (/.f64 y 1/4) (*.f64 2/3 x)))
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 1/3 y) x)
(/.f64 2 (+.f64 (/.f64 (+.f64 y y) (.f64 2/3 x)) (/.f64 (+.f64 y y) (.f64 2/3 x))))
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 1/3 y) x)
(/.f64 (*.f64 2/3 (/.f64 x y)) 2)
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 1/3 y) x)
(/.f64 (*.f64 2/3 x) (+.f64 y y))
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 1/3 y) x)
(/.f64 (.f64 2/3 x) (/.f64 (.f64 y (/.f64 y 1/4)) (+.f64 y y)))
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 1/3 y) x)
(/.f64 4 (/.f64 (.f64 y 8) (.f64 2/3 x)))
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 1/3 y) x)
(/.f64 4 (+.f64 (/.f64 (/.f64 y 1/4) (.f64 2/3 x)) (/.f64 (/.f64 y 1/4) (.f64 2/3 x))))
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 1/3 y) x)
(/.f64 (*.f64 (/.f64 x y) 4/3) 4)
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 1/3 y) x)
(/.f64 8 (+.f64 (/.f64 (.f64 y 8) (.f64 2/3 x)) (/.f64 (.f64 y 8) (.f64 2/3 x))))
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 1/3 y) x)
(/.f64 (*.f64 (/.f64 x y) 8/3) 8)
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 1/3 y) x)
(/.f64 (*.f64 x 4/3) (/.f64 y 1/4))
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 1/3 y) x)
(/.f64 (/.f64 (*.f64 2/3 (/.f64 x y)) 4) 1/2)
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 1/3 y) x)
(/.f64 (.f64 2 (.f64 (/.f64 x y) 8/3)) 16)
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 1/3 y) x)
(/.f64 (.f64 x 8/3) (.f64 y 8))
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 1/3 y) x)
(/.f64 (/.f64 (*.f64 2/3 x) 2) y)
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 1/3 y) x)
(/.f64 (neg.f64 (*.f64 2/3 x)) (/.f64 y -1/2))
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 1/3 y) x)
(/.f64 (+.f64 (/.f64 (.f64 2/3 x) 2) (/.f64 (.f64 2/3 x) 2)) (+.f64 y y))
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 1/3 y) x)
(/.f64 (+.f64 (.f64 2 (.f64 (/.f64 x y) 8/3)) (.f64 2 (.f64 (/.f64 x y) 8/3))) 32)
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 1/3 y) x)
(/.f64 (+.f64 (neg.f64 (.f64 2/3 x)) (neg.f64 (.f64 2/3 x))) (*.f64 (neg.f64 y) 4))
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 1/3 y) x)
(/.f64 (neg.f64 (*.f64 x 4/3)) (neg.f64 (/.f64 y 1/4)))
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 1/3 y) x)
(/.f64 (neg.f64 (/.f64 (*.f64 2/3 x) 2)) (neg.f64 y))
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 1/3 y) x)
(/.f64 (neg.f64 (neg.f64 (*.f64 2/3 x))) (+.f64 y y))
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 1/3 y) x)
(pow.f64 (*.f64 (/.f64 x y) 1/3) 1)
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 1/3 y) x)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (/.f64 1 y) (.f64 x 1/3))
✓	0.4b	(*.f64 x 1/3)

Compiler

Compiled 19 to 13 computations (31.6% saved)

series2.0ms (0%)

Counts

2 → 36

Calls

9 calls:

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

rewrite110.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

2008×	`rational.json-1`
1610×	`rational.json-simplify-35`
944×	`rational.json-2`
944×	`rational.json-4`
944×	`rational.json-3`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	26
1	73	20
2	175	20
3	363	20
4	842	20
5	3004	20
6	7901	20

Stop Event

1×	node limit

Counts

2 → 94

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 1/3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (*.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 1/6) (*.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x 1/3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 x -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 2/3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 4/3) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x -1/3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x 2/3)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x 1/3) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 x 1/3) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (*.f64 x 1/3) 8)) (*.f64 2 (*.f64 (*.f64 x 1/3) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 x -1/3))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/3 (/.f64 x y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/3 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (/.f64 1/6 y)) (*.f64 x (/.f64 1/6 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 1/3 (/.f64 x y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (*.f64 y 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 (neg.f64 y) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 (/.f64 (*.f64 y -2) -1/3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/3 (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 1/3) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 1/3) (/.f64 (*.f64 y y) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 y (/.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 y) (/.f64 3 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/3 (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 y (*.f64 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 2 y) (/.f64 6 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 2 y) (+.f64 (/.f64 3 x) (/.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (*.f64 2 (/.f64 y (*.f64 x 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 2/3) (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x 2/3) y) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x x) (*.f64 y 6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 y (*.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (*.f64 y (/.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 4 y) (+.f64 (/.f64 6 x) (/.f64 6 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 8 (*.f64 2 (*.f64 2 (/.f64 y (*.f64 x 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 8 (/.f64 (*.f64 y 8) (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (neg.f64 (/.f64 y (*.f64 x 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (+.f64 (neg.f64 (*.f64 y (/.f64 3 x))) (neg.f64 (*.f64 y (/.f64 3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (+.f64 (/.f64 y (*.f64 x -1/3)) (/.f64 y (*.f64 x -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 4/3) (*.f64 y 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x 4/3) y) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 4) (*.f64 (*.f64 y 8) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 y (*.f64 x 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x -1/3) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2/3 (*.f64 y (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (/.f64 3 x)) (*.f64 (*.f64 y (/.f64 3 x)) (*.f64 y (/.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 y (*.f64 x 1/6)) (*.f64 y (*.f64 (/.f64 6 x) (*.f64 y (/.f64 3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 1/3 (/.f64 x y)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x 2/3)) (*.f64 y -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 16 (+.f64 (*.f64 2 (*.f64 2 (/.f64 y (*.f64 x 1/6)))) (*.f64 2 (*.f64 2 (/.f64 y (*.f64 x 1/6))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 16 (+.f64 (/.f64 (*.f64 y 8) (*.f64 x 1/3)) (/.f64 (*.f64 y 8) (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -4 (+.f64 (neg.f64 (/.f64 y (*.f64 x 1/6))) (neg.f64 (/.f64 y (*.f64 x 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -4 (-.f64 0 (*.f64 2 (/.f64 y (*.f64 x 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x 1/3) 8) (*.f64 y 8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (/.f64 y (*.f64 x 1/6))) (*.f64 (/.f64 y (*.f64 x 1/6)) (/.f64 y (*.f64 x 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (/.f64 y (*.f64 x 1/6))) (+.f64 (*.f64 y (*.f64 (/.f64 6 x) (*.f64 y (/.f64 3 x)))) (*.f64 y (*.f64 (/.f64 6 x) (*.f64 y (/.f64 3 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (/.f64 1/6 y)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 1/6) (*.f64 y 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 1/6) (/.f64 (*.f64 y y) (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 x) (neg.f64 (*.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/3 (-.f64 0 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (neg.f64 (*.f64 x 2/3))) (*.f64 (neg.f64 y) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 1/3 (/.f64 x y)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 x 1/3) 8)) (*.f64 2 (*.f64 y 8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 x 1/3) 8) y) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x -1/3) y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (*.f64 x 1/3) 8)) (neg.f64 (*.f64 y 8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/2 (-.f64 0 (/.f64 y (*.f64 x 2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x 2/3) (*.f64 y 8)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 y (/.f64 3 x))) (-.f64 0 (*.f64 (*.f64 y (/.f64 3 x)) (*.f64 y (/.f64 3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x 4/3)) (neg.f64 (*.f64 y 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (*.f64 x 2/3))) (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 x x)) (neg.f64 (*.f64 y 6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 (*.f64 x 2/3) (*.f64 y 8)) (/.f64 (*.f64 x 2/3) (*.f64 y 8))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (neg.f64 (*.f64 x 2/3))) (*.f64 2 (neg.f64 (*.f64 x 2/3)))) (*.f64 2 (*.f64 (neg.f64 y) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (*.f64 x 4/3)) (neg.f64 (*.f64 x 4/3))) (*.f64 2 (neg.f64 (*.f64 y 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (neg.f64 (*.f64 x 2/3))) (neg.f64 (neg.f64 (*.f64 x 2/3)))) (*.f64 y 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (*.f64 1/3 (/.f64 x y)) 8)) (*.f64 2 (*.f64 (*.f64 1/3 (/.f64 x y)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 (*.f64 (*.f64 x 1/3) 8) y) (/.f64 (*.f64 (*.f64 x 1/3) 8) y)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 (*.f64 x -1/3) y) (/.f64 (*.f64 x -1/3) y)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 1 y)) (-.f64 0 (/.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 2 y)) (-.f64 0 (/.f64 6 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (neg.f64 (*.f64 x 2/3)))) (-.f64 0 (*.f64 (neg.f64 y) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (*.f64 x 4/3))) (*.f64 y 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (*.f64 x 4/3))) (-.f64 0 (neg.f64 (*.f64 y 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (neg.f64 (*.f64 x 2/3)))) (*.f64 y -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x 1/6)) (-.f64 0 (*.f64 y 1/2)))))) (#(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 (*.f64 x -1/3) y))))))

simplify82.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1820×	`rational.json-simplify-35`
1318×	`rational.json-simplify-61`
948×	`rational.json-simplify-41`
814×	`rational.json-simplify-50`
736×	`rational.json-simplify-43`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	224	1762
1	714	1726
2	2185	1720
3	5788	1720

Stop Event

1×	node limit

Counts

130 → 111

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 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 (*.f64 x 1/3) 0)
(+.f64 0 (*.f64 x 1/3))
(+.f64 -1 (-.f64 1 (*.f64 x -1/3)))
(+.f64 (.f64 x 1/6) (.f64 x 1/6))
(-.f64 (*.f64 x 1/3) 0)
(-.f64 0 (*.f64 x -1/3))
(/.f64 (*.f64 x 1/3) 1)
(/.f64 (*.f64 x 2/3) 2)
(/.f64 (*.f64 x 4/3) 4)
(/.f64 (*.f64 x -1/3) -1)
(/.f64 (neg.f64 (*.f64 x 2/3)) -2)
(/.f64 (.f64 (.f64 x 1/3) 8) 8)
(/.f64 (.f64 2 (.f64 (*.f64 x 1/3) 8)) 16)
(/.f64 (+.f64 (.f64 2 (.f64 (.f64 x 1/3) 8)) (.f64 2 (.f64 (.f64 x 1/3) 8))) 32)
(pow.f64 (*.f64 x 1/3) 1)
(neg.f64 (*.f64 x -1/3))
(+.f64 (*.f64 1/3 (/.f64 x y)) 0)
(+.f64 0 (*.f64 1/3 (/.f64 x y)))
(+.f64 (.f64 x (/.f64 1/6 y)) (.f64 x (/.f64 1/6 y)))
(-.f64 (*.f64 1/3 (/.f64 x y)) 0)
(/.f64 x (*.f64 y 3))
(/.f64 x (/.f64 (neg.f64 y) -1/3))
(/.f64 x (/.f64 (/.f64 (*.f64 y -2) -1/3) 2))
(/.f64 1/3 (/.f64 y x))
(/.f64 (*.f64 x 1/3) y)
(/.f64 (.f64 x 1/3) (/.f64 (.f64 y y) y))
(/.f64 1 (*.f64 y (/.f64 3 x)))
(/.f64 (/.f64 1 y) (/.f64 3 x))
(/.f64 (*.f64 1/3 (/.f64 x y)) 1)
(/.f64 2 (/.f64 y (*.f64 x 1/6)))
(/.f64 (/.f64 2 y) (/.f64 6 x))
(/.f64 (/.f64 2 y) (+.f64 (/.f64 3 x) (/.f64 3 x)))
(/.f64 4 (.f64 2 (/.f64 y (.f64 x 1/6))))
(/.f64 (*.f64 x 2/3) (+.f64 y y))
(/.f64 (/.f64 (*.f64 x 2/3) y) 2)
(/.f64 (+.f64 x x) (*.f64 y 6))
(/.f64 -1 (/.f64 y (*.f64 x -1/3)))
(/.f64 -1 (neg.f64 (*.f64 y (/.f64 3 x))))
(/.f64 (/.f64 4 y) (+.f64 (/.f64 6 x) (/.f64 6 x)))
(/.f64 8 (.f64 2 (.f64 2 (/.f64 y (*.f64 x 1/6)))))
(/.f64 8 (/.f64 (.f64 y 8) (.f64 x 1/3)))
(/.f64 -2 (neg.f64 (/.f64 y (*.f64 x 1/6))))
(/.f64 -2 (+.f64 (neg.f64 (.f64 y (/.f64 3 x))) (neg.f64 (.f64 y (/.f64 3 x)))))
(/.f64 -2 (+.f64 (/.f64 y (.f64 x -1/3)) (/.f64 y (.f64 x -1/3))))
(/.f64 (.f64 x 4/3) (.f64 y 4))
(/.f64 (/.f64 (*.f64 x 4/3) y) 4)
(/.f64 (.f64 x 4) (.f64 (*.f64 y 8) 3/2))
(/.f64 1/2 (/.f64 y (*.f64 x 2/3)))
(/.f64 (*.f64 x -1/3) (neg.f64 y))
(/.f64 2/3 (*.f64 y (/.f64 2 x)))
(/.f64 (.f64 y (/.f64 3 x)) (.f64 (.f64 y (/.f64 3 x)) (.f64 y (/.f64 3 x))))
(/.f64 (/.f64 y (.f64 x 1/6)) (.f64 y (.f64 (/.f64 6 x) (.f64 y (/.f64 3 x)))))
(/.f64 (.f64 (.f64 1/3 (/.f64 x y)) 8) 8)
(/.f64 (neg.f64 (.f64 x 2/3)) (.f64 y -2))
(/.f64 16 (+.f64 (.f64 2 (.f64 2 (/.f64 y (.f64 x 1/6)))) (.f64 2 (.f64 2 (/.f64 y (.f64 x 1/6))))))
(/.f64 16 (+.f64 (/.f64 (.f64 y 8) (.f64 x 1/3)) (/.f64 (.f64 y 8) (.f64 x 1/3))))
(/.f64 -4 (+.f64 (neg.f64 (/.f64 y (.f64 x 1/6))) (neg.f64 (/.f64 y (.f64 x 1/6)))))
(/.f64 -4 (-.f64 0 (.f64 2 (/.f64 y (.f64 x 1/6)))))
(/.f64 (.f64 (.f64 x 1/3) 8) (*.f64 y 8))
(/.f64 (.f64 2 (/.f64 y (.f64 x 1/6))) (.f64 (/.f64 y (.f64 x 1/6)) (/.f64 y (*.f64 x 1/6))))
(/.f64 (.f64 2 (/.f64 y (.f64 x 1/6))) (+.f64 (.f64 y (.f64 (/.f64 6 x) (.f64 y (/.f64 3 x)))) (.f64 y (.f64 (/.f64 6 x) (.f64 y (/.f64 3 x))))))
(/.f64 (*.f64 x (/.f64 1/6 y)) 1/2)
(/.f64 (.f64 x 1/6) (.f64 y 1/2))
(/.f64 (.f64 x 1/6) (/.f64 (.f64 y y) (+.f64 y y)))
(/.f64 (neg.f64 x) (neg.f64 (*.f64 y 3)))
(/.f64 -1/3 (-.f64 0 (/.f64 y x)))
(/.f64 (.f64 2 (neg.f64 (.f64 x 2/3))) (*.f64 (neg.f64 y) 4))
(/.f64 (.f64 2 (.f64 (*.f64 1/3 (/.f64 x y)) 8)) 16)
(/.f64 (.f64 2 (.f64 (.f64 x 1/3) 8)) (.f64 2 (*.f64 y 8)))
(/.f64 (/.f64 (.f64 (.f64 x 1/3) 8) y) 8)
(/.f64 (/.f64 (*.f64 x -1/3) y) -1)
(/.f64 (neg.f64 (.f64 (.f64 x 1/3) 8)) (neg.f64 (*.f64 y 8)))
(/.f64 -1/2 (-.f64 0 (/.f64 y (*.f64 x 2/3))))
(/.f64 (/.f64 (.f64 x 2/3) (.f64 y 8)) 1/4)
(/.f64 (neg.f64 (.f64 y (/.f64 3 x))) (-.f64 0 (.f64 (.f64 y (/.f64 3 x)) (.f64 y (/.f64 3 x)))))
(/.f64 (neg.f64 (.f64 x 4/3)) (neg.f64 (.f64 y 4)))
(/.f64 (neg.f64 (neg.f64 (*.f64 x 2/3))) (+.f64 y y))
(/.f64 (neg.f64 (+.f64 x x)) (neg.f64 (*.f64 y 6)))
(/.f64 (+.f64 (/.f64 (.f64 x 2/3) (.f64 y 8)) (/.f64 (.f64 x 2/3) (.f64 y 8))) 1/2)
(/.f64 (+.f64 (.f64 2 (neg.f64 (.f64 x 2/3))) (.f64 2 (neg.f64 (.f64 x 2/3)))) (.f64 2 (.f64 (neg.f64 y) 4)))
(/.f64 (+.f64 (neg.f64 (.f64 x 4/3)) (neg.f64 (.f64 x 4/3))) (.f64 2 (neg.f64 (.f64 y 4))))
(/.f64 (+.f64 (neg.f64 (neg.f64 (.f64 x 2/3))) (neg.f64 (neg.f64 (.f64 x 2/3)))) (*.f64 y 4))
(/.f64 (+.f64 (.f64 2 (.f64 (.f64 1/3 (/.f64 x y)) 8)) (.f64 2 (.f64 (.f64 1/3 (/.f64 x y)) 8))) 32)
(/.f64 (+.f64 (/.f64 (.f64 (.f64 x 1/3) 8) y) (/.f64 (.f64 (.f64 x 1/3) 8) y)) 16)
(/.f64 (+.f64 (/.f64 (.f64 x -1/3) y) (/.f64 (.f64 x -1/3) y)) -2)
(/.f64 (neg.f64 (/.f64 1 y)) (-.f64 0 (/.f64 3 x)))
(/.f64 (neg.f64 (/.f64 2 y)) (-.f64 0 (/.f64 6 x)))
(/.f64 (neg.f64 (.f64 2 (neg.f64 (.f64 x 2/3)))) (-.f64 0 (*.f64 (neg.f64 y) 4)))
(/.f64 (neg.f64 (neg.f64 (.f64 x 4/3))) (.f64 y 4))
(/.f64 (neg.f64 (neg.f64 (.f64 x 4/3))) (-.f64 0 (neg.f64 (.f64 y 4))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (.f64 x 2/3)))) (.f64 y -2))
(/.f64 (neg.f64 (.f64 x 1/6)) (-.f64 0 (.f64 y 1/2)))
(pow.f64 (*.f64 1/3 (/.f64 x y)) 1)
(neg.f64 (/.f64 (*.f64 x -1/3) 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 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(+.f64 (*.f64 x 1/3) 0)
(*.f64 1/3 x)
(+.f64 0 (*.f64 x 1/3))
(*.f64 1/3 x)
(+.f64 -1 (-.f64 1 (*.f64 x -1/3)))
(*.f64 1/3 x)
(+.f64 (.f64 x 1/6) (.f64 x 1/6))
(*.f64 1/3 x)
(-.f64 (*.f64 x 1/3) 0)
(*.f64 1/3 x)
(-.f64 0 (*.f64 x -1/3))
(*.f64 1/3 x)
(/.f64 (*.f64 x 1/3) 1)
(*.f64 1/3 x)
(/.f64 (*.f64 x 2/3) 2)
(*.f64 1/3 x)
(/.f64 (*.f64 x 4/3) 4)
(*.f64 1/3 x)
(/.f64 (*.f64 x -1/3) -1)
(*.f64 1/3 x)
(/.f64 (neg.f64 (*.f64 x 2/3)) -2)
(*.f64 1/3 x)
(/.f64 (.f64 (.f64 x 1/3) 8) 8)
(*.f64 1/3 x)
(/.f64 (.f64 2 (.f64 (*.f64 x 1/3) 8)) 16)
(*.f64 1/3 x)
(/.f64 (+.f64 (.f64 2 (.f64 (.f64 x 1/3) 8)) (.f64 2 (.f64 (.f64 x 1/3) 8))) 32)
(*.f64 1/3 x)
(pow.f64 (*.f64 x 1/3) 1)
(*.f64 1/3 x)
(neg.f64 (*.f64 x -1/3))
(*.f64 1/3 x)
(+.f64 (*.f64 1/3 (/.f64 x y)) 0)
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(+.f64 0 (*.f64 1/3 (/.f64 x y)))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(+.f64 (.f64 x (/.f64 1/6 y)) (.f64 x (/.f64 1/6 y)))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(-.f64 (*.f64 1/3 (/.f64 x y)) 0)
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(/.f64 x (*.f64 y 3))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(/.f64 x (/.f64 (neg.f64 y) -1/3))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(/.f64 x (/.f64 (/.f64 (*.f64 y -2) -1/3) 2))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(/.f64 1/3 (/.f64 y x))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(/.f64 (*.f64 x 1/3) y)
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(/.f64 (.f64 x 1/3) (/.f64 (.f64 y y) y))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(/.f64 1 (*.f64 y (/.f64 3 x)))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(/.f64 (/.f64 1 y) (/.f64 3 x))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(/.f64 (*.f64 1/3 (/.f64 x y)) 1)
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(/.f64 2 (/.f64 y (*.f64 x 1/6)))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(/.f64 (/.f64 2 y) (/.f64 6 x))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(/.f64 (/.f64 2 y) (+.f64 (/.f64 3 x) (/.f64 3 x)))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(/.f64 4 (.f64 2 (/.f64 y (.f64 x 1/6))))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(/.f64 (*.f64 x 2/3) (+.f64 y y))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(/.f64 (/.f64 (*.f64 x 2/3) y) 2)
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(/.f64 (+.f64 x x) (*.f64 y 6))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(/.f64 -1 (/.f64 y (*.f64 x -1/3)))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(/.f64 -1 (neg.f64 (*.f64 y (/.f64 3 x))))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(/.f64 (/.f64 4 y) (+.f64 (/.f64 6 x) (/.f64 6 x)))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(/.f64 8 (.f64 2 (.f64 2 (/.f64 y (*.f64 x 1/6)))))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(/.f64 8 (/.f64 (.f64 y 8) (.f64 x 1/3)))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(/.f64 -2 (neg.f64 (/.f64 y (*.f64 x 1/6))))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(/.f64 -2 (+.f64 (neg.f64 (.f64 y (/.f64 3 x))) (neg.f64 (.f64 y (/.f64 3 x)))))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(/.f64 -2 (+.f64 (/.f64 y (.f64 x -1/3)) (/.f64 y (.f64 x -1/3))))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(/.f64 (.f64 x 4/3) (.f64 y 4))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(/.f64 (/.f64 (*.f64 x 4/3) y) 4)
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(/.f64 (.f64 x 4) (.f64 (*.f64 y 8) 3/2))
(.f64 x (/.f64 4 (.f64 y 12)))
(/.f64 1/2 (/.f64 y (*.f64 x 2/3)))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(/.f64 (*.f64 x -1/3) (neg.f64 y))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(/.f64 2/3 (*.f64 y (/.f64 2 x)))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(/.f64 (.f64 y (/.f64 3 x)) (.f64 (.f64 y (/.f64 3 x)) (.f64 y (/.f64 3 x))))
(.f64 y (/.f64 (/.f64 3 x) (.f64 (.f64 y (/.f64 3 x)) (.f64 y (/.f64 3 x)))))
(.f64 y (/.f64 (/.f64 3 x) (.f64 y (.f64 y (.f64 (/.f64 3 x) (/.f64 3 x))))))
(/.f64 (/.f64 y (.f64 x 1/6)) (.f64 y (.f64 (/.f64 6 x) (.f64 y (/.f64 3 x)))))
(/.f64 y (.f64 (.f64 x 1/6) (.f64 y (.f64 y (*.f64 (/.f64 3 x) (/.f64 6 x))))))
(/.f64 (/.f64 (/.f64 (/.f64 (/.f64 y 1/6) x) y) y) (*.f64 (/.f64 3 x) (/.f64 6 x)))
(/.f64 (/.f64 x (/.f64 6 (/.f64 y (.f64 x (.f64 y 1/6))))) (*.f64 y (/.f64 3 x)))
(/.f64 (/.f64 x (/.f64 6 (/.f64 (/.f64 (.f64 y 6) x) y))) (.f64 y (/.f64 3 x)))
(/.f64 (.f64 (.f64 1/3 (/.f64 x y)) 8) 8)
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(/.f64 (neg.f64 (.f64 x 2/3)) (.f64 y -2))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(/.f64 16 (+.f64 (.f64 2 (.f64 2 (/.f64 y (.f64 x 1/6)))) (.f64 2 (.f64 2 (/.f64 y (.f64 x 1/6))))))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(/.f64 16 (+.f64 (/.f64 (.f64 y 8) (.f64 x 1/3)) (/.f64 (.f64 y 8) (.f64 x 1/3))))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(/.f64 -4 (+.f64 (neg.f64 (/.f64 y (.f64 x 1/6))) (neg.f64 (/.f64 y (.f64 x 1/6)))))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(/.f64 -4 (-.f64 0 (.f64 2 (/.f64 y (.f64 x 1/6)))))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(/.f64 (.f64 (.f64 x 1/3) 8) (*.f64 y 8))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(/.f64 (.f64 2 (/.f64 y (.f64 x 1/6))) (.f64 (/.f64 y (.f64 x 1/6)) (/.f64 y (*.f64 x 1/6))))
(/.f64 (*.f64 (/.f64 (/.f64 y 1/6) x) (/.f64 2 (/.f64 (/.f64 y 1/6) x))) (/.f64 (/.f64 y 1/6) x))
(.f64 (/.f64 y (.f64 x 1/6)) (/.f64 x (/.f64 (/.f64 y 1/6) (*.f64 x (/.f64 1/3 y)))))
(.f64 (/.f64 (.f64 y 6) x) (/.f64 1/3 (/.f64 (/.f64 y x) (*.f64 x (/.f64 1/6 y)))))
(/.f64 (.f64 2 (/.f64 y (.f64 x 1/6))) (+.f64 (.f64 y (.f64 (/.f64 6 x) (.f64 y (/.f64 3 x)))) (.f64 y (.f64 (/.f64 6 x) (.f64 y (/.f64 3 x))))))
(/.f64 (.f64 2 (/.f64 y (.f64 x 1/6))) (+.f64 (.f64 y (.f64 y (.f64 (/.f64 3 x) (/.f64 6 x)))) (.f64 y (.f64 y (.f64 (/.f64 3 x) (/.f64 6 x))))))
(.f64 2 (/.f64 (/.f64 (/.f64 y 1/6) x) (.f64 (.f64 y (.f64 (/.f64 3 x) (/.f64 6 x))) (+.f64 y y))))
(.f64 2 (/.f64 (/.f64 y (.f64 x 1/6)) (.f64 y (.f64 (/.f64 6 x) (*.f64 (/.f64 3 x) (+.f64 y y))))))
(.f64 2 (/.f64 (/.f64 (.f64 y 6) x) (.f64 y (.f64 (/.f64 6 x) (*.f64 (/.f64 3 x) (+.f64 y y))))))
(/.f64 (*.f64 x (/.f64 1/6 y)) 1/2)
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(/.f64 (.f64 x 1/6) (.f64 y 1/2))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(/.f64 (.f64 x 1/6) (/.f64 (.f64 y y) (+.f64 y y)))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(/.f64 (neg.f64 x) (neg.f64 (*.f64 y 3)))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(/.f64 -1/3 (-.f64 0 (/.f64 y x)))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(/.f64 (.f64 2 (neg.f64 (.f64 x 2/3))) (*.f64 (neg.f64 y) 4))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(/.f64 (.f64 2 (.f64 (*.f64 1/3 (/.f64 x y)) 8)) 16)
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(/.f64 (.f64 2 (.f64 (.f64 x 1/3) 8)) (.f64 2 (*.f64 y 8)))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(/.f64 (/.f64 (.f64 (.f64 x 1/3) 8) y) 8)
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(/.f64 (/.f64 (*.f64 x -1/3) y) -1)
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(/.f64 (neg.f64 (.f64 (.f64 x 1/3) 8)) (neg.f64 (*.f64 y 8)))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(/.f64 -1/2 (-.f64 0 (/.f64 y (*.f64 x 2/3))))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(/.f64 (/.f64 (.f64 x 2/3) (.f64 y 8)) 1/4)
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(/.f64 (neg.f64 (.f64 y (/.f64 3 x))) (-.f64 0 (.f64 (.f64 y (/.f64 3 x)) (.f64 y (/.f64 3 x)))))
(/.f64 (.f64 y (/.f64 3 x)) (.f64 (.f64 y (/.f64 3 x)) (.f64 y (/.f64 3 x))))
(.f64 y (/.f64 (/.f64 3 x) (.f64 (.f64 y (/.f64 3 x)) (.f64 y (/.f64 3 x)))))
(.f64 y (/.f64 (/.f64 3 x) (.f64 y (.f64 y (.f64 (/.f64 3 x) (/.f64 3 x))))))
(/.f64 (neg.f64 (.f64 x 4/3)) (neg.f64 (.f64 y 4)))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(/.f64 (neg.f64 (neg.f64 (*.f64 x 2/3))) (+.f64 y y))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(/.f64 (neg.f64 (+.f64 x x)) (neg.f64 (*.f64 y 6)))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(/.f64 (+.f64 (/.f64 (.f64 x 2/3) (.f64 y 8)) (/.f64 (.f64 x 2/3) (.f64 y 8))) 1/2)
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(/.f64 (+.f64 (.f64 2 (neg.f64 (.f64 x 2/3))) (.f64 2 (neg.f64 (.f64 x 2/3)))) (.f64 2 (.f64 (neg.f64 y) 4)))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(/.f64 (+.f64 (neg.f64 (.f64 x 4/3)) (neg.f64 (.f64 x 4/3))) (.f64 2 (neg.f64 (.f64 y 4))))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(/.f64 (+.f64 (neg.f64 (neg.f64 (.f64 x 2/3))) (neg.f64 (neg.f64 (.f64 x 2/3)))) (*.f64 y 4))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(/.f64 (+.f64 (.f64 2 (.f64 (.f64 1/3 (/.f64 x y)) 8)) (.f64 2 (.f64 (.f64 1/3 (/.f64 x y)) 8))) 32)
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(/.f64 (+.f64 (/.f64 (.f64 (.f64 x 1/3) 8) y) (/.f64 (.f64 (.f64 x 1/3) 8) y)) 16)
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(/.f64 (+.f64 (/.f64 (.f64 x -1/3) y) (/.f64 (.f64 x -1/3) y)) -2)
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(/.f64 (neg.f64 (/.f64 1 y)) (-.f64 0 (/.f64 3 x)))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(/.f64 (neg.f64 (/.f64 2 y)) (-.f64 0 (/.f64 6 x)))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(/.f64 (neg.f64 (.f64 2 (neg.f64 (.f64 x 2/3)))) (-.f64 0 (*.f64 (neg.f64 y) 4)))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(/.f64 (neg.f64 (neg.f64 (.f64 x 4/3))) (.f64 y 4))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(/.f64 (neg.f64 (neg.f64 (.f64 x 4/3))) (-.f64 0 (neg.f64 (.f64 y 4))))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (.f64 x 2/3)))) (.f64 y -2))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(/.f64 (neg.f64 (.f64 x 1/6)) (-.f64 0 (.f64 y 1/2)))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(pow.f64 (*.f64 1/3 (/.f64 x y)) 1)
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(neg.f64 (/.f64 (*.f64 x -1/3) y))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 (/.f64 2 (/.f64 y x)) 1/6)
✓	0.6b	(/.f64 2 (/.f64 y x))

Compiler

Compiled 21 to 11 computations (47.6% saved)

series2.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite83.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1586×	`rational.json-1`
1586×	`rational.json-2`
1586×	`rational.json-4`
1586×	`rational.json-3`
1576×	`exponential.json-3`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	66	32
2	182	32
3	495	26
4	1475	26
5	4583	26

Stop Event

1×	node limit

Counts

2 → 51

Calls

Call 1

Inputs
(/.f64 2 (/.f64 y x))
(*.f64 (/.f64 2 (/.f64 y x)) 1/6)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (/.f64 x y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 2 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x y) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (/.f64 (neg.f64 (+.f64 x x)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 2 (/.f64 x y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (neg.f64 (+.f64 x x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 2 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (*.f64 2 (/.f64 2 y)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (/.f64 4 y) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 2 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (*.f64 1/2 (/.f64 2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (*.f64 (/.f64 1/2 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (*.f64 (*.f64 1/2 (/.f64 2 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 4) (/.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 4) (*.f64 1/2 (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 4) (*.f64 (/.f64 1/2 y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 4) (*.f64 1/4 (/.f64 2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (/.f64 4 y)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 x (/.f64 4 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 y) (/.f64 1 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 y) (*.f64 (/.f64 1 (/.f64 1 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 2 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (*.f64 (/.f64 -1 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (*.f64 (/.f64 2 (neg.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x y) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (/.f64 2 y)) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 1 x)) (/.f64 2 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 (+.f64 x x)) y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 y) (*.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (neg.f64 y)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (neg.f64 (+.f64 x x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (*.f64 y -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 -2 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 x -2) y))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (neg.f64 (*.f64 x 4)) (+.f64 y y)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 x y) 1/3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 x y) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (/.f64 x y) 1/3) 2) (/.f64 (*.f64 (/.f64 x y) 1/3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (/.f64 x y) 1/3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 x y) 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 x y) 2/3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (/.f64 x y) 2/3)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (/.f64 x y) 2/3))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (/.f64 x y) 2/3)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 x y) 1/3) 1)))))

simplify115.0ms (3%)

Algorithm

1×	egg-herbie

Rules

1310×	`rational.json-simplify-2`
1088×	`rational.json-simplify-1`
896×	`rational.json-simplify-55`
856×	`rational.json-simplify-35`
734×	`rational.json-simplify-53`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	114	1287
1	273	1287
2	597	1287
3	1767	1287
4	4096	1287
5	6457	1287

Stop Event

1×	node limit

Counts

99 → 53

Calls

Call 1

Inputs
(*.f64 2 (/.f64 x y))
(*.f64 2 (/.f64 x y))
(*.f64 2 (/.f64 x y))
(*.f64 2 (/.f64 x y))
(*.f64 2 (/.f64 x y))
(*.f64 2 (/.f64 x y))
(*.f64 2 (/.f64 x y))
(*.f64 2 (/.f64 x y))
(*.f64 2 (/.f64 x y))
(*.f64 2 (/.f64 x y))
(*.f64 2 (/.f64 x y))
(*.f64 2 (/.f64 x y))
(*.f64 2 (/.f64 x y))
(*.f64 2 (/.f64 x y))
(*.f64 2 (/.f64 x y))
(*.f64 2 (/.f64 x y))
(*.f64 2 (/.f64 x y))
(*.f64 2 (/.f64 x y))
(*.f64 2 (/.f64 x y))
(*.f64 2 (/.f64 x y))
(*.f64 2 (/.f64 x y))
(*.f64 2 (/.f64 x y))
(*.f64 2 (/.f64 x y))
(*.f64 2 (/.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 x y))
(+.f64 (*.f64 2 (/.f64 x y)) 0)
(+.f64 0 (*.f64 2 (/.f64 x y)))
(+.f64 (/.f64 x y) (/.f64 x y))
(+.f64 -1 (-.f64 1 (/.f64 (neg.f64 (+.f64 x x)) y)))
(-.f64 (*.f64 2 (/.f64 x y)) 0)
(-.f64 0 (/.f64 (neg.f64 (+.f64 x x)) y))
(*.f64 2 (/.f64 x y))
(*.f64 x (/.f64 2 y))
(.f64 x (.f64 (*.f64 2 (/.f64 2 y)) 1/2))
(.f64 x (.f64 (/.f64 4 y) 1/2))
(.f64 (.f64 2 (/.f64 x y)) 1)
(.f64 1 (.f64 2 (/.f64 x y)))
(*.f64 (+.f64 x x) (/.f64 1 y))
(.f64 (+.f64 x x) (.f64 1/2 (/.f64 2 y)))
(.f64 (+.f64 x x) (.f64 (/.f64 1/2 y) 2))
(.f64 (+.f64 x x) (.f64 (*.f64 1/2 (/.f64 2 y)) 1))
(.f64 (.f64 x 4) (/.f64 1/2 y))
(.f64 (.f64 x 4) (*.f64 1/2 (/.f64 1 y)))
(.f64 (.f64 x 4) (*.f64 (/.f64 1/2 y) 1))
(.f64 (.f64 x 4) (*.f64 1/4 (/.f64 2 y)))
(.f64 (.f64 x (/.f64 4 y)) 1/2)
(.f64 1/2 (.f64 x (/.f64 4 y)))
(*.f64 (/.f64 2 y) x)
(*.f64 (/.f64 2 y) (/.f64 1 (/.f64 1 x)))
(.f64 (/.f64 2 y) (.f64 (/.f64 1 (/.f64 1 x)) 1))
(*.f64 (neg.f64 x) (/.f64 2 (neg.f64 y)))
(.f64 (neg.f64 x) (.f64 (/.f64 -1 y) 2))
(.f64 (neg.f64 x) (.f64 (/.f64 2 (neg.f64 y)) 1))
(*.f64 (/.f64 x y) 2)
(*.f64 (/.f64 1 y) (+.f64 x x))
(.f64 (.f64 1/2 (/.f64 2 y)) (+.f64 x x))
(*.f64 (/.f64 1 (/.f64 1 x)) (/.f64 2 y))
(*.f64 (/.f64 (neg.f64 (+.f64 x x)) y) -1)
(.f64 (/.f64 1/2 y) (.f64 x 4))
(*.f64 (/.f64 2 (neg.f64 y)) (neg.f64 x))
(pow.f64 (*.f64 2 (/.f64 x y)) 1)
(neg.f64 (/.f64 (neg.f64 (+.f64 x x)) y))
(neg.f64 (/.f64 x (*.f64 y -1/2)))
(neg.f64 (/.f64 -2 (/.f64 y x)))
(neg.f64 (/.f64 (*.f64 x -2) y))
(neg.f64 (/.f64 (neg.f64 (*.f64 x 4)) (+.f64 y y)))
(+.f64 (*.f64 (/.f64 x y) 1/3) 0)
(+.f64 0 (*.f64 (/.f64 x y) 1/3))
(+.f64 (/.f64 (.f64 (/.f64 x y) 1/3) 2) (/.f64 (.f64 (/.f64 x y) 1/3) 2))
(-.f64 (*.f64 (/.f64 x y) 1/3) 0)
(/.f64 (*.f64 (/.f64 x y) 1/3) 1)
(/.f64 (*.f64 (/.f64 x y) 2/3) 2)
(/.f64 (.f64 2 (.f64 (/.f64 x y) 2/3)) 4)
(/.f64 (.f64 2 (.f64 2 (*.f64 (/.f64 x y) 2/3))) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (/.f64 x y) 2/3)))) 16)
(pow.f64 (*.f64 (/.f64 x y) 1/3) 1)

Outputs
(*.f64 2 (/.f64 x y))
(*.f64 2 (/.f64 x y))
(*.f64 2 (/.f64 x y))
(*.f64 2 (/.f64 x y))
(*.f64 2 (/.f64 x y))
(*.f64 2 (/.f64 x y))
(*.f64 2 (/.f64 x y))
(*.f64 2 (/.f64 x y))
(*.f64 2 (/.f64 x y))
(*.f64 2 (/.f64 x y))
(*.f64 2 (/.f64 x y))
(*.f64 2 (/.f64 x y))
(*.f64 2 (/.f64 x y))
(*.f64 2 (/.f64 x y))
(*.f64 2 (/.f64 x y))
(*.f64 2 (/.f64 x y))
(*.f64 2 (/.f64 x y))
(*.f64 2 (/.f64 x y))
(*.f64 2 (/.f64 x y))
(*.f64 2 (/.f64 x y))
(*.f64 2 (/.f64 x y))
(*.f64 2 (/.f64 x y))
(*.f64 2 (/.f64 x y))
(*.f64 2 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 x y) 1/3)
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 x y) 1/3)
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 x y) 1/3)
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 x y) 1/3)
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 x y) 1/3)
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 x y) 1/3)
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 x y) 1/3)
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 x y) 1/3)
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 x y) 1/3)
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 x y) 1/3)
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 x y) 1/3)
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 x y) 1/3)
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 x y) 1/3)
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 x y) 1/3)
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 x y) 1/3)
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 x y) 1/3)
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 x y) 1/3)
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 x y) 1/3)
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 x y) 1/3)
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 x y) 1/3)
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 x y) 1/3)
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 x y) 1/3)
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 x y) 1/3)
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 x y) 1/3)
(+.f64 (*.f64 2 (/.f64 x y)) 0)
(*.f64 2 (/.f64 x y))
(+.f64 0 (*.f64 2 (/.f64 x y)))
(*.f64 2 (/.f64 x y))
(+.f64 (/.f64 x y) (/.f64 x y))
(*.f64 2 (/.f64 x y))
(+.f64 -1 (-.f64 1 (/.f64 (neg.f64 (+.f64 x x)) y)))
(*.f64 2 (/.f64 x y))
(-.f64 (*.f64 2 (/.f64 x y)) 0)
(*.f64 2 (/.f64 x y))
(-.f64 0 (/.f64 (neg.f64 (+.f64 x x)) y))
(*.f64 2 (/.f64 x y))
(*.f64 2 (/.f64 x y))
(*.f64 x (/.f64 2 y))
(*.f64 2 (/.f64 x y))
(.f64 x (.f64 (*.f64 2 (/.f64 2 y)) 1/2))
(*.f64 2 (/.f64 x y))
(.f64 x (.f64 (/.f64 4 y) 1/2))
(*.f64 2 (/.f64 x y))
(.f64 (.f64 2 (/.f64 x y)) 1)
(*.f64 2 (/.f64 x y))
(.f64 1 (.f64 2 (/.f64 x y)))
(*.f64 2 (/.f64 x y))
(*.f64 (+.f64 x x) (/.f64 1 y))
(*.f64 2 (/.f64 x y))
(.f64 (+.f64 x x) (.f64 1/2 (/.f64 2 y)))
(*.f64 2 (/.f64 x y))
(.f64 (+.f64 x x) (.f64 (/.f64 1/2 y) 2))
(*.f64 2 (/.f64 x y))
(.f64 (+.f64 x x) (.f64 (*.f64 1/2 (/.f64 2 y)) 1))
(*.f64 2 (/.f64 x y))
(.f64 (.f64 x 4) (/.f64 1/2 y))
(*.f64 2 (/.f64 x y))
(.f64 (.f64 x 4) (*.f64 1/2 (/.f64 1 y)))
(*.f64 2 (/.f64 x y))
(.f64 (.f64 x 4) (*.f64 (/.f64 1/2 y) 1))
(*.f64 2 (/.f64 x y))
(.f64 (.f64 x 4) (*.f64 1/4 (/.f64 2 y)))
(*.f64 2 (/.f64 x y))
(.f64 (.f64 x (/.f64 4 y)) 1/2)
(*.f64 2 (/.f64 x y))
(.f64 1/2 (.f64 x (/.f64 4 y)))
(*.f64 2 (/.f64 x y))
(*.f64 (/.f64 2 y) x)
(*.f64 2 (/.f64 x y))
(*.f64 (/.f64 2 y) (/.f64 1 (/.f64 1 x)))
(*.f64 2 (/.f64 x y))
(.f64 (/.f64 2 y) (.f64 (/.f64 1 (/.f64 1 x)) 1))
(*.f64 2 (/.f64 x y))
(*.f64 (neg.f64 x) (/.f64 2 (neg.f64 y)))
(*.f64 2 (/.f64 x y))
(.f64 (neg.f64 x) (.f64 (/.f64 -1 y) 2))
(*.f64 2 (/.f64 x y))
(.f64 (neg.f64 x) (.f64 (/.f64 2 (neg.f64 y)) 1))
(*.f64 2 (/.f64 x y))
(*.f64 (/.f64 x y) 2)
(*.f64 2 (/.f64 x y))
(*.f64 (/.f64 1 y) (+.f64 x x))
(*.f64 2 (/.f64 x y))
(.f64 (.f64 1/2 (/.f64 2 y)) (+.f64 x x))
(*.f64 2 (/.f64 x y))
(*.f64 (/.f64 1 (/.f64 1 x)) (/.f64 2 y))
(*.f64 2 (/.f64 x y))
(*.f64 (/.f64 (neg.f64 (+.f64 x x)) y) -1)
(*.f64 2 (/.f64 x y))
(.f64 (/.f64 1/2 y) (.f64 x 4))
(*.f64 2 (/.f64 x y))
(*.f64 (/.f64 2 (neg.f64 y)) (neg.f64 x))
(*.f64 2 (/.f64 x y))
(pow.f64 (*.f64 2 (/.f64 x y)) 1)
(*.f64 2 (/.f64 x y))
(neg.f64 (/.f64 (neg.f64 (+.f64 x x)) y))
(*.f64 2 (/.f64 x y))
(neg.f64 (/.f64 x (*.f64 y -1/2)))
(*.f64 2 (/.f64 x y))
(neg.f64 (/.f64 -2 (/.f64 y x)))
(*.f64 2 (/.f64 x y))
(neg.f64 (/.f64 (*.f64 x -2) y))
(*.f64 2 (/.f64 x y))
(neg.f64 (/.f64 (neg.f64 (*.f64 x 4)) (+.f64 y y)))
(*.f64 2 (/.f64 x y))
(+.f64 (*.f64 (/.f64 x y) 1/3) 0)
(*.f64 (/.f64 x y) 1/3)
(+.f64 0 (*.f64 (/.f64 x y) 1/3))
(*.f64 (/.f64 x y) 1/3)
(+.f64 (/.f64 (.f64 (/.f64 x y) 1/3) 2) (/.f64 (.f64 (/.f64 x y) 1/3) 2))
(*.f64 (/.f64 x y) 1/3)
(-.f64 (*.f64 (/.f64 x y) 1/3) 0)
(*.f64 (/.f64 x y) 1/3)
(/.f64 (*.f64 (/.f64 x y) 1/3) 1)
(*.f64 (/.f64 x y) 1/3)
(/.f64 (*.f64 (/.f64 x y) 2/3) 2)
(*.f64 (/.f64 x y) 1/3)
(/.f64 (.f64 2 (.f64 (/.f64 x y) 2/3)) 4)
(*.f64 (/.f64 x y) 1/3)
(/.f64 (.f64 2 (.f64 2 (*.f64 (/.f64 x y) 2/3))) 8)
(*.f64 (/.f64 x y) 1/3)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (/.f64 x y) 2/3)))) 16)
(*.f64 (/.f64 x y) 1/3)
(pow.f64 (*.f64 (/.f64 x y) 1/3) 1)
(*.f64 (/.f64 x y) 1/3)

eval68.0ms (1.8%)

Compiler: Compiled 3476 to 2368 computations (31.9% saved)

prune50.0ms (1.3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	339	5	344
Fresh	1	0	1
Picked	1	0	1
Done	3	2	5
Total	344	7	351

Error

Counts

351 → 7

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.2b	(/.f64 (/.f64 x y) 3)
▶	0.3b	(/.f64 (/.f64 x 3) y)
▶	0.4b	(/.f64 x (.f64 (.f64 y 9) (/.f64 y (*.f64 y 3))))
✓	0.2b	(/.f64 x (*.f64 y 3))
▶	0.6b	(/.f64 2 (*.f64 6 (/.f64 y x)))
▶	0.6b	(/.f64 1/3 (/.f64 y x))
✓	0.3b	(*.f64 (/.f64 1/3 y) x)

Compiler

Compiled 100 to 72 computations (28% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 6 computations (53.8% saved)

series0.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite79.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1426×	`rational.json-1`
1426×	`rational.json-2`
1426×	`rational.json-4`
1426×	`rational.json-3`
1408×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	55	13
2	177	13
3	519	13
4	1698	13
5	4497	13

Stop Event

1×	node limit

Counts

1 → 99

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (/.f64 1/3 y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (/.f64 1/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (/.f64 x (*.f64 y -3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (/.f64 (*.f64 x -1/3) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 x 1/3) (+.f64 y y)) (/.f64 (*.f64 x 1/3) (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (*.f64 y 6)) (/.f64 x (*.f64 y 6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 x y) 6) (/.f64 (/.f64 x y) 6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 x (/.f64 1/3 y)) 2) (/.f64 (*.f64 x (/.f64 1/3 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (/.f64 1/3 y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 x (*.f64 y -3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (*.f64 x -1/3) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1/3 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (*.f64 2 (/.f64 1/3 y)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (/.f64 2 (*.f64 y 3)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (*.f64 2 (/.f64 1 y)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (/.f64 2 y) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 2/3 (/.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x y) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (/.f64 1/3 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (/.f64 1/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (/.f64 1 (*.f64 y 6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (*.f64 (/.f64 1 y) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (*.f64 1/3 (/.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (*.f64 (*.f64 (/.f64 1 y) 1/6) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (*.f64 (*.f64 1/3 (/.f64 1/2 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (*.f64 (*.f64 (/.f64 1 y) 1/2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (/.f64 2 y)) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 1/3) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 1/3) (*.f64 (*.f64 2 (/.f64 1 y)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (*.f64 x 1/3) (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 x (*.f64 y 6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 x y) 6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (*.f64 x (/.f64 1/3 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 x (*.f64 y 6)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 (/.f64 x y) 6) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 (*.f64 x (/.f64 1/3 y)) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 x 6) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 x 2) (/.f64 1/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 x (+.f64 y y)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 (/.f64 x y) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (*.f64 x (/.f64 1/3 y)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 x y) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (*.f64 x 1/3) (/.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 x (/.f64 1 (*.f64 y 6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 1 (*.f64 y 6)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 1/2 y) (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 4) (/.f64 1 (*.f64 y 12)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 4) (*.f64 (/.f64 1 (*.f64 y 12)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 4) (*.f64 1/12 (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 4) (*.f64 1/4 (/.f64 1/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 4) (*.f64 (/.f64 2 (*.f64 y 8)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 4) (*.f64 1/6 (/.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 4) (*.f64 1/2 (/.f64 1 (*.f64 y 6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x y) 2/3) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x y) 4) 1/12)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 2/3) (/.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 2/3) (*.f64 (/.f64 1 y) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (*.f64 x 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (*.f64 y -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (*.f64 (/.f64 1 (*.f64 y -3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (*.f64 (/.f64 -1 y) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x -1/3) (/.f64 -1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x -1/3) (*.f64 (/.f64 -1 y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 x (*.f64 y -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (*.f64 x -1/3) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 (/.f64 x (*.f64 y -3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 (/.f64 (*.f64 x -1/3) y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 (/.f64 x (neg.f64 y)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 1 y)) (/.f64 x 6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 1 y)) (*.f64 (/.f64 x 6) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 1 y)) (*.f64 (/.f64 x 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 1 y)) (*.f64 (*.f64 x 1/3) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 1 y)) (*.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (/.f64 x y) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/6 (*.f64 x (/.f64 2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2/3 (/.f64 x (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2/3 (*.f64 (/.f64 x (+.f64 y y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2/3 (*.f64 (/.f64 x 2) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2/3 (*.f64 x (/.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 y) (*.f64 x 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 y 6)) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 y) 1/6) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/3 (/.f64 1/2 y)) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (*.f64 y -3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x -1/3) y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 y y)) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 y) (*.f64 x -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 6) (*.f64 2 (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/12 (*.f64 (/.f64 x y) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (*.f64 y 6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x y) 6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 y 12)) (*.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (/.f64 1/3 y)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 y -3)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (/.f64 1/3 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (*.f64 y -3)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 x -1/3) y))))))

simplify124.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

1836×	`rational.json-simplify-35`
1364×	`rational.json-simplify-2`
1106×	`rational.json-simplify-61`
1086×	`rational.json-simplify-51`
1062×	`rational.json-simplify-43`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	207	1629
1	444	1611
2	958	1611
3	2184	1611
4	4957	1611
5	7774	1611

Stop Event

1×	node limit

Counts

123 → 107

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 (*.f64 x (/.f64 1/3 y)) 0)
(+.f64 0 (*.f64 x (/.f64 1/3 y)))
(+.f64 -1 (-.f64 1 (/.f64 x (*.f64 y -3))))
(+.f64 -1 (-.f64 1 (/.f64 (*.f64 x -1/3) y)))
(+.f64 (/.f64 (.f64 x 1/3) (+.f64 y y)) (/.f64 (.f64 x 1/3) (+.f64 y y)))
(+.f64 (/.f64 x (.f64 y 6)) (/.f64 x (.f64 y 6)))
(+.f64 (/.f64 (/.f64 x y) 6) (/.f64 (/.f64 x y) 6))
(+.f64 (/.f64 (.f64 x (/.f64 1/3 y)) 2) (/.f64 (.f64 x (/.f64 1/3 y)) 2))
(-.f64 (*.f64 x (/.f64 1/3 y)) 0)
(-.f64 0 (/.f64 x (*.f64 y -3)))
(-.f64 0 (/.f64 (*.f64 x -1/3) y))
(*.f64 x (/.f64 1/3 y))
(.f64 x (.f64 (*.f64 2 (/.f64 1/3 y)) 1/2))
(.f64 x (.f64 (/.f64 2 (*.f64 y 3)) 1/2))
(.f64 x (.f64 (*.f64 2 (/.f64 1 y)) 1/6))
(.f64 x (.f64 (/.f64 2 y) 1/6))
(.f64 x (.f64 2/3 (/.f64 1/2 y)))
(*.f64 (/.f64 x y) 1/3)
(.f64 (.f64 x (/.f64 1/3 y)) 1)
(.f64 1 (.f64 x (/.f64 1/3 y)))
(.f64 (+.f64 x x) (/.f64 1 (.f64 y 6)))
(.f64 (+.f64 x x) (.f64 (/.f64 1 y) 1/6))
(.f64 (+.f64 x x) (.f64 1/3 (/.f64 1/2 y)))
(.f64 (+.f64 x x) (.f64 (*.f64 (/.f64 1 y) 1/6) 1))
(.f64 (+.f64 x x) (.f64 (*.f64 1/3 (/.f64 1/2 y)) 1))
(.f64 (+.f64 x x) (.f64 (*.f64 (/.f64 1 y) 1/2) 1/3))
(.f64 (.f64 x (/.f64 2 y)) 1/6)
(.f64 (.f64 x 1/3) (/.f64 1 y))
(.f64 (.f64 x 1/3) (.f64 (.f64 2 (/.f64 1 y)) 1/2))
(.f64 2 (/.f64 (.f64 x 1/3) (+.f64 y y)))
(.f64 2 (/.f64 x (.f64 y 6)))
(*.f64 2 (/.f64 (/.f64 x y) 6))
(.f64 2 (/.f64 (.f64 x (/.f64 1/3 y)) 2))
(.f64 2 (.f64 (/.f64 x (*.f64 y 6)) 1))
(.f64 2 (.f64 (/.f64 (/.f64 x y) 6) 1))
(.f64 2 (.f64 (/.f64 (*.f64 x (/.f64 1/3 y)) 2) 1))
(.f64 2 (.f64 (/.f64 x 6) (/.f64 1 y)))
(.f64 2 (.f64 (/.f64 x 2) (/.f64 1/3 y)))
(.f64 2 (.f64 (/.f64 x (+.f64 y y)) 1/3))
(.f64 2 (.f64 (/.f64 (/.f64 x y) 2) 1/3))
(.f64 2 (.f64 (*.f64 x (/.f64 1/3 y)) 1/2))
(.f64 2 (.f64 (/.f64 x y) 1/6))
(.f64 2 (.f64 (*.f64 x 1/3) (/.f64 1/2 y)))
(.f64 2 (.f64 x (/.f64 1 (*.f64 y 6))))
(.f64 2 (.f64 (/.f64 1 (*.f64 y 6)) x))
(.f64 2 (.f64 (/.f64 1/2 y) (*.f64 x 1/3)))
(.f64 (.f64 x 4) (/.f64 1 (*.f64 y 12)))
(.f64 (.f64 x 4) (.f64 (/.f64 1 (.f64 y 12)) 1))
(.f64 (.f64 x 4) (*.f64 1/12 (/.f64 1 y)))
(.f64 (.f64 x 4) (*.f64 1/4 (/.f64 1/3 y)))
(.f64 (.f64 x 4) (.f64 (/.f64 2 (.f64 y 8)) 1/3))
(.f64 (.f64 x 4) (*.f64 1/6 (/.f64 1/2 y)))
(.f64 (.f64 x 4) (.f64 1/2 (/.f64 1 (.f64 y 6))))
(.f64 (.f64 (/.f64 x y) 2/3) 1/2)
(.f64 (.f64 (/.f64 x y) 4) 1/12)
(.f64 (.f64 x 2/3) (/.f64 1/2 y))
(.f64 (.f64 x 2/3) (*.f64 (/.f64 1 y) 1/2))
(.f64 (/.f64 1 y) (.f64 x 1/3))
(*.f64 (/.f64 1/3 y) x)
(*.f64 1/3 (/.f64 x y))
(.f64 (neg.f64 x) (/.f64 1 (.f64 y -3)))
(.f64 (neg.f64 x) (.f64 (/.f64 1 (*.f64 y -3)) 1))
(.f64 (neg.f64 x) (.f64 (/.f64 -1 y) 1/3))
(.f64 (.f64 x -1/3) (/.f64 -1 y))
(.f64 (.f64 x -1/3) (*.f64 (/.f64 -1 y) 1))
(.f64 -1 (/.f64 x (.f64 y -3)))
(.f64 -1 (/.f64 (.f64 x -1/3) y))
(.f64 -1 (.f64 (/.f64 x (*.f64 y -3)) 1))
(.f64 -1 (.f64 (/.f64 (*.f64 x -1/3) y) 1))
(.f64 -1 (.f64 (/.f64 x (neg.f64 y)) 1/3))
(.f64 (.f64 2 (/.f64 1 y)) (/.f64 x 6))
(.f64 (.f64 2 (/.f64 1 y)) (*.f64 (/.f64 x 6) 1))
(.f64 (.f64 2 (/.f64 1 y)) (*.f64 (/.f64 x 2) 1/3))
(.f64 (.f64 2 (/.f64 1 y)) (.f64 (.f64 x 1/3) 1/2))
(.f64 (.f64 2 (/.f64 1 y)) (*.f64 x 1/6))
(.f64 1/2 (.f64 (/.f64 x y) 2/3))
(.f64 1/6 (.f64 x (/.f64 2 y)))
(*.f64 2/3 (/.f64 x (+.f64 y y)))
(.f64 2/3 (.f64 (/.f64 x (+.f64 y y)) 1))
(.f64 2/3 (.f64 (/.f64 x 2) (/.f64 1 y)))
(.f64 2/3 (.f64 x (/.f64 1/2 y)))
(.f64 (/.f64 1/2 y) (.f64 x 2/3))
(.f64 (/.f64 1 (.f64 y 6)) (+.f64 x x))
(.f64 (.f64 (/.f64 1 y) 1/6) (+.f64 x x))
(.f64 (.f64 1/3 (/.f64 1/2 y)) (+.f64 x x))
(.f64 (/.f64 x (.f64 y -3)) -1)
(.f64 (/.f64 (.f64 x -1/3) y) -1)
(*.f64 (/.f64 x (+.f64 y y)) 2/3)
(.f64 (/.f64 -1 y) (.f64 x -1/3))
(.f64 (/.f64 x 6) (.f64 2 (/.f64 1 y)))
(.f64 1/12 (.f64 (/.f64 x y) 4))
(.f64 (/.f64 x (.f64 y 6)) 2)
(*.f64 (/.f64 (/.f64 x y) 6) 2)
(.f64 (/.f64 1 (.f64 y 12)) (*.f64 x 4))
(.f64 (/.f64 (.f64 x (/.f64 1/3 y)) 2) 2)
(.f64 (/.f64 1 (.f64 y -3)) (neg.f64 x))
(pow.f64 (*.f64 x (/.f64 1/3 y)) 1)
(neg.f64 (/.f64 x (*.f64 y -3)))
(neg.f64 (/.f64 (*.f64 x -1/3) y))

Outputs
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(*.f64 x (/.f64 1/3 y))
(+.f64 (*.f64 x (/.f64 1/3 y)) 0)
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(*.f64 x (/.f64 1/3 y))
(+.f64 0 (*.f64 x (/.f64 1/3 y)))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(*.f64 x (/.f64 1/3 y))
(+.f64 -1 (-.f64 1 (/.f64 x (*.f64 y -3))))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(*.f64 x (/.f64 1/3 y))
(+.f64 -1 (-.f64 1 (/.f64 (*.f64 x -1/3) y)))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(*.f64 x (/.f64 1/3 y))
(+.f64 (/.f64 (.f64 x 1/3) (+.f64 y y)) (/.f64 (.f64 x 1/3) (+.f64 y y)))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(*.f64 x (/.f64 1/3 y))
(+.f64 (/.f64 x (.f64 y 6)) (/.f64 x (.f64 y 6)))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(*.f64 x (/.f64 1/3 y))
(+.f64 (/.f64 (/.f64 x y) 6) (/.f64 (/.f64 x y) 6))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(*.f64 x (/.f64 1/3 y))
(+.f64 (/.f64 (.f64 x (/.f64 1/3 y)) 2) (/.f64 (.f64 x (/.f64 1/3 y)) 2))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(*.f64 x (/.f64 1/3 y))
(-.f64 (*.f64 x (/.f64 1/3 y)) 0)
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(*.f64 x (/.f64 1/3 y))
(-.f64 0 (/.f64 x (*.f64 y -3)))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(*.f64 x (/.f64 1/3 y))
(-.f64 0 (/.f64 (*.f64 x -1/3) y))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(*.f64 x (/.f64 1/3 y))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(.f64 x (.f64 (*.f64 2 (/.f64 1/3 y)) 1/2))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(*.f64 x (/.f64 1/3 y))
(.f64 x (.f64 (/.f64 2 (*.f64 y 3)) 1/2))
(.f64 (/.f64 2 (.f64 y 3)) (*.f64 1/2 x))
(.f64 x (.f64 1/2 (/.f64 2/3 y)))
(.f64 (/.f64 2/3 y) (.f64 x 1/2))
(.f64 1/2 (.f64 x (/.f64 2/3 y)))
(.f64 x (.f64 (*.f64 2 (/.f64 1 y)) 1/6))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(*.f64 x (/.f64 1/3 y))
(.f64 x (.f64 (/.f64 2 y) 1/6))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(*.f64 x (/.f64 1/3 y))
(.f64 x (.f64 2/3 (/.f64 1/2 y)))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(*.f64 x (/.f64 1/3 y))
(*.f64 (/.f64 x y) 1/3)
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(*.f64 x (/.f64 1/3 y))
(.f64 (.f64 x (/.f64 1/3 y)) 1)
(*.f64 1/3 (/.f64 x y))
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(.f64 (.f64 x 4) (.f64 (/.f64 1 (.f64 y 12)) 1))
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(.f64 (.f64 x 4) (*.f64 1/12 (/.f64 1 y)))
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(.f64 (.f64 x 4) (*.f64 1/4 (/.f64 1/3 y)))
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(.f64 (.f64 x 4) (.f64 (/.f64 2 (.f64 y 8)) 1/3))
(.f64 (.f64 x 4) (.f64 1/3 (/.f64 2 (.f64 y 8))))
(.f64 (/.f64 1/4 y) (.f64 x 4/3))
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(.f64 (.f64 x 4) (*.f64 1/6 (/.f64 1/2 y)))
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(*.f64 x (/.f64 1/3 y))
(.f64 (.f64 x 4) (.f64 1/2 (/.f64 1 (.f64 y 6))))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
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(.f64 (.f64 (/.f64 x y) 2/3) 1/2)
(*.f64 1/3 (/.f64 x y))
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(*.f64 x (/.f64 1/3 y))
(.f64 (.f64 (/.f64 x y) 4) 1/12)
(*.f64 1/3 (/.f64 x y))
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(*.f64 x (/.f64 1/3 y))
(.f64 (.f64 x 2/3) (/.f64 1/2 y))
(*.f64 1/3 (/.f64 x y))
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(.f64 (.f64 x 2/3) (*.f64 (/.f64 1 y) 1/2))
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(*.f64 x (/.f64 1/3 y))
(.f64 (/.f64 1 y) (.f64 x 1/3))
(*.f64 1/3 (/.f64 x y))
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(*.f64 x (/.f64 1/3 y))
(*.f64 (/.f64 1/3 y) x)
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(*.f64 x (/.f64 1/3 y))
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(.f64 (neg.f64 x) (/.f64 1 (.f64 y -3)))
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(.f64 (.f64 x -1/3) (*.f64 (/.f64 -1 y) 1))
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(.f64 -1 (.f64 (/.f64 x (*.f64 y -3)) 1))
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(.f64 -1 (.f64 (/.f64 (*.f64 x -1/3) y) 1))
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(*.f64 x (/.f64 1/3 y))
(.f64 -1 (.f64 (/.f64 x (neg.f64 y)) 1/3))
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(.f64 (.f64 2 (/.f64 1 y)) (/.f64 x 6))
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(*.f64 x (/.f64 1/3 y))
(.f64 (.f64 2 (/.f64 1 y)) (*.f64 (/.f64 x 6) 1))
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(.f64 (.f64 2 (/.f64 1 y)) (*.f64 (/.f64 x 2) 1/3))
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(*.f64 1/3 (/.f64 x y))
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(.f64 (.f64 2 (/.f64 1 y)) (*.f64 x 1/6))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(*.f64 x (/.f64 1/3 y))
(.f64 1/2 (.f64 (/.f64 x y) 2/3))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(*.f64 x (/.f64 1/3 y))
(.f64 1/6 (.f64 x (/.f64 2 y)))
(*.f64 1/3 (/.f64 x y))
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(*.f64 2/3 (/.f64 x (+.f64 y y)))
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(/.f64 1/3 (/.f64 y x))
(*.f64 x (/.f64 1/3 y))
(.f64 2/3 (.f64 (/.f64 x (+.f64 y y)) 1))
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(/.f64 1/3 (/.f64 y x))
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(*.f64 1/3 (/.f64 x y))
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(.f64 (/.f64 1/2 y) (.f64 x 2/3))
(*.f64 1/3 (/.f64 x y))
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(*.f64 x (/.f64 1/3 y))
(.f64 (/.f64 1 (.f64 y 6)) (+.f64 x x))
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(/.f64 1/3 (/.f64 y x))
(*.f64 x (/.f64 1/3 y))
(.f64 (.f64 (/.f64 1 y) 1/6) (+.f64 x x))
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(.f64 (.f64 1/3 (/.f64 1/2 y)) (+.f64 x x))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(*.f64 x (/.f64 1/3 y))
(.f64 (/.f64 x (.f64 y -3)) -1)
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(*.f64 x (/.f64 1/3 y))
(.f64 (/.f64 (.f64 x -1/3) y) -1)
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(*.f64 x (/.f64 1/3 y))
(*.f64 (/.f64 x (+.f64 y y)) 2/3)
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(*.f64 x (/.f64 1/3 y))
(.f64 (/.f64 -1 y) (.f64 x -1/3))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(*.f64 x (/.f64 1/3 y))
(.f64 (/.f64 x 6) (.f64 2 (/.f64 1 y)))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(*.f64 x (/.f64 1/3 y))
(.f64 1/12 (.f64 (/.f64 x y) 4))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(*.f64 x (/.f64 1/3 y))
(.f64 (/.f64 x (.f64 y 6)) 2)
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(*.f64 x (/.f64 1/3 y))
(*.f64 (/.f64 (/.f64 x y) 6) 2)
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(*.f64 x (/.f64 1/3 y))
(.f64 (/.f64 1 (.f64 y 12)) (*.f64 x 4))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(*.f64 x (/.f64 1/3 y))
(.f64 (/.f64 (.f64 x (/.f64 1/3 y)) 2) 2)
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(*.f64 x (/.f64 1/3 y))
(.f64 (/.f64 1 (.f64 y -3)) (neg.f64 x))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(*.f64 x (/.f64 1/3 y))
(pow.f64 (*.f64 x (/.f64 1/3 y)) 1)
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(*.f64 x (/.f64 1/3 y))
(neg.f64 (/.f64 x (*.f64 y -3)))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(*.f64 x (/.f64 1/3 y))
(neg.f64 (/.f64 (*.f64 x -1/3) y))
(*.f64 1/3 (/.f64 x y))
(/.f64 1/3 (/.f64 y x))
(*.f64 x (/.f64 1/3 y))

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.6b	(/.f64 1/3 (/.f64 y x))

Compiler

Compiled 13 to 6 computations (53.8% saved)

series0.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite76.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

1570×	`rational.json-1`
1570×	`rational.json-2`
1570×	`rational.json-4`
1570×	`rational.json-3`
1554×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	53	13
2	166	13
3	495	13
4	1580	13
5	4589	13

Stop Event

1×	node limit

Counts

1 → 52

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/3 (/.f64 x y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/3 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/3 (*.f64 y (/.f64 2 x))) (/.f64 1/3 (*.f64 y (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (*.f64 y 6)) (/.f64 x (*.f64 y 6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 1/3 (/.f64 x y)) 2) (/.f64 (*.f64 1/3 (/.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 1/3 (/.f64 x y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1/3 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (/.f64 1 y) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (*.f64 2 (/.f64 1/3 y)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (/.f64 2 (*.f64 y 3)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/3 (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 1/3 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (/.f64 1/3 (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (*.f64 (/.f64 1/3 y) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (*.f64 (/.f64 1 (+.f64 y y)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (*.f64 (*.f64 (/.f64 1/3 y) 1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 1/3 (*.f64 y (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 x (*.f64 y 6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (*.f64 1/3 (/.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 x (+.f64 y y)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 x (*.f64 y 6)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 (*.f64 1/3 (/.f64 x y)) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 x 2) (/.f64 1/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (*.f64 1/3 (/.f64 x y)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 x (/.f64 1/3 (+.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 1/3 (+.f64 y y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 4) (/.f64 1 (*.f64 y 12)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 4) (*.f64 (/.f64 1 (*.f64 y 12)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 4) (*.f64 1/4 (/.f64 1/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 4) (*.f64 1/2 (/.f64 1/3 (+.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x y) 2/3) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 y) (/.f64 1 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 y) (*.f64 (/.f64 1 (/.f64 1 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (*.f64 y -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (*.f64 (/.f64 -1 y) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (*.f64 (/.f64 1 (*.f64 y -3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x y) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (*.f64 1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (/.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (*.f64 (/.f64 x 3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (/.f64 x y) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 (+.f64 y y)) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1/3 y) 1/2) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 1 x)) (/.f64 1/3 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 3) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (*.f64 y 6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 y 12)) (*.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 1/3 (/.f64 x y)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 y -3)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/3 (/.f64 x y)) 1)))))

simplify71.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1134×	`rational.json-simplify-29`
854×	`rational.json-simplify-53`
788×	`rational.json-simplify-2`
784×	`rational.json-simplify-49`
664×	`rational.json-simplify-55`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	120	1028
1	262	1006
2	559	1006
3	1396	1006
4	4283	1006

Stop Event

1×	node limit

Counts

76 → 57

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 (*.f64 1/3 (/.f64 x y)) 0)
(+.f64 0 (*.f64 1/3 (/.f64 x y)))
(+.f64 (/.f64 1/3 (.f64 y (/.f64 2 x))) (/.f64 1/3 (.f64 y (/.f64 2 x))))
(+.f64 (/.f64 x (.f64 y 6)) (/.f64 x (.f64 y 6)))
(+.f64 (/.f64 (.f64 1/3 (/.f64 x y)) 2) (/.f64 (.f64 1/3 (/.f64 x y)) 2))
(-.f64 (*.f64 1/3 (/.f64 x y)) 0)
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(.f64 x (.f64 (/.f64 1 y) 1/3))
(.f64 x (.f64 (*.f64 2 (/.f64 1/3 y)) 1/2))
(.f64 x (.f64 (/.f64 2 (*.f64 y 3)) 1/2))
(.f64 (.f64 1/3 (/.f64 x y)) 1)
(.f64 1 (.f64 1/3 (/.f64 x y)))
(*.f64 (+.f64 x x) (/.f64 1/3 (+.f64 y y)))
(.f64 (+.f64 x x) (.f64 (/.f64 1/3 y) 1/2))
(.f64 (+.f64 x x) (.f64 (/.f64 1 (+.f64 y y)) 1/3))
(.f64 (+.f64 x x) (.f64 (*.f64 (/.f64 1/3 y) 1/2) 1))
(.f64 2 (/.f64 1/3 (.f64 y (/.f64 2 x))))
(.f64 2 (/.f64 x (.f64 y 6)))
(.f64 2 (/.f64 (.f64 1/3 (/.f64 x y)) 2))
(.f64 2 (.f64 (/.f64 x (+.f64 y y)) 1/3))
(.f64 2 (.f64 (/.f64 x (*.f64 y 6)) 1))
(.f64 2 (.f64 (/.f64 (*.f64 1/3 (/.f64 x y)) 2) 1))
(.f64 2 (.f64 (/.f64 x 2) (/.f64 1/3 y)))
(.f64 2 (.f64 (*.f64 1/3 (/.f64 x y)) 1/2))
(.f64 2 (.f64 x (/.f64 1/3 (+.f64 y y))))
(.f64 2 (.f64 (/.f64 1/3 (+.f64 y y)) x))
(.f64 (.f64 x 4) (/.f64 1 (*.f64 y 12)))
(.f64 (.f64 x 4) (.f64 (/.f64 1 (.f64 y 12)) 1))
(.f64 (.f64 x 4) (*.f64 1/4 (/.f64 1/3 y)))
(.f64 (.f64 x 4) (*.f64 1/2 (/.f64 1/3 (+.f64 y y))))
(.f64 (.f64 (/.f64 x y) 2/3) 1/2)
(*.f64 (/.f64 1/3 y) x)
(*.f64 (/.f64 1/3 y) (/.f64 1 (/.f64 1 x)))
(.f64 (/.f64 1/3 y) (.f64 (/.f64 1 (/.f64 1 x)) 1))
(.f64 (neg.f64 x) (/.f64 1 (.f64 y -3)))
(.f64 (neg.f64 x) (.f64 (/.f64 -1 y) 1/3))
(.f64 (neg.f64 x) (.f64 (/.f64 1 (*.f64 y -3)) 1))
(*.f64 (/.f64 x y) 1/3)
(.f64 (/.f64 1 y) (.f64 1/3 x))
(*.f64 (/.f64 1 y) (/.f64 x 3))
(.f64 (/.f64 1 y) (.f64 (/.f64 x 3) 1))
(.f64 1/2 (.f64 (/.f64 x y) 2/3))
(*.f64 (/.f64 1/3 (+.f64 y y)) (+.f64 x x))
(.f64 (.f64 (/.f64 1/3 y) 1/2) (+.f64 x x))
(*.f64 (/.f64 1 (/.f64 1 x)) (/.f64 1/3 y))
(*.f64 (/.f64 x 3) (/.f64 1 y))
(.f64 (/.f64 x (.f64 y 6)) 2)
(.f64 (/.f64 1 (.f64 y 12)) (*.f64 x 4))
(.f64 (/.f64 (.f64 1/3 (/.f64 x y)) 2) 2)
(.f64 (/.f64 1 (.f64 y -3)) (neg.f64 x))
(pow.f64 (*.f64 1/3 (/.f64 x y)) 1)

Outputs
(*.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 (*.f64 1/3 (/.f64 x y)) 0)
(*.f64 1/3 (/.f64 x y))
(+.f64 0 (*.f64 1/3 (/.f64 x y)))
(*.f64 1/3 (/.f64 x y))
(+.f64 (/.f64 1/3 (.f64 y (/.f64 2 x))) (/.f64 1/3 (.f64 y (/.f64 2 x))))
(*.f64 1/3 (/.f64 x y))
(+.f64 (/.f64 x (.f64 y 6)) (/.f64 x (.f64 y 6)))
(*.f64 1/3 (/.f64 x y))
(+.f64 (/.f64 (.f64 1/3 (/.f64 x y)) 2) (/.f64 (.f64 1/3 (/.f64 x y)) 2))
(*.f64 1/3 (/.f64 x y))
(-.f64 (*.f64 1/3 (/.f64 x y)) 0)
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(.f64 x (.f64 (/.f64 1 y) 1/3))
(*.f64 1/3 (/.f64 x y))
(.f64 x (.f64 (*.f64 2 (/.f64 1/3 y)) 1/2))
(*.f64 1/3 (/.f64 x y))
(.f64 x (.f64 (/.f64 2 (*.f64 y 3)) 1/2))
(*.f64 1/3 (/.f64 x y))
(.f64 (.f64 1/3 (/.f64 x y)) 1)
(*.f64 1/3 (/.f64 x y))
(.f64 1 (.f64 1/3 (/.f64 x y)))
(*.f64 1/3 (/.f64 x y))
(*.f64 (+.f64 x x) (/.f64 1/3 (+.f64 y y)))
(*.f64 1/3 (/.f64 x y))
(.f64 (+.f64 x x) (.f64 (/.f64 1/3 y) 1/2))
(*.f64 1/3 (/.f64 x y))
(.f64 (+.f64 x x) (.f64 (/.f64 1 (+.f64 y y)) 1/3))
(*.f64 1/3 (/.f64 x y))
(.f64 (+.f64 x x) (.f64 (*.f64 (/.f64 1/3 y) 1/2) 1))
(*.f64 1/3 (/.f64 x y))
(.f64 2 (/.f64 1/3 (.f64 y (/.f64 2 x))))
(*.f64 1/3 (/.f64 x y))
(.f64 2 (/.f64 x (.f64 y 6)))
(*.f64 1/3 (/.f64 x y))
(.f64 2 (/.f64 (.f64 1/3 (/.f64 x y)) 2))
(*.f64 1/3 (/.f64 x y))
(.f64 2 (.f64 (/.f64 x (+.f64 y y)) 1/3))
(*.f64 1/3 (/.f64 x y))
(.f64 2 (.f64 (/.f64 x (*.f64 y 6)) 1))
(*.f64 1/3 (/.f64 x y))
(.f64 2 (.f64 (/.f64 (*.f64 1/3 (/.f64 x y)) 2) 1))
(*.f64 1/3 (/.f64 x y))
(.f64 2 (.f64 (/.f64 x 2) (/.f64 1/3 y)))
(*.f64 1/3 (/.f64 x y))
(.f64 2 (.f64 (*.f64 1/3 (/.f64 x y)) 1/2))
(*.f64 1/3 (/.f64 x y))
(.f64 2 (.f64 x (/.f64 1/3 (+.f64 y y))))
(*.f64 1/3 (/.f64 x y))
(.f64 2 (.f64 (/.f64 1/3 (+.f64 y y)) x))
(*.f64 1/3 (/.f64 x y))
(.f64 (.f64 x 4) (/.f64 1 (*.f64 y 12)))
(*.f64 1/3 (/.f64 x y))
(.f64 (.f64 x 4) (.f64 (/.f64 1 (.f64 y 12)) 1))
(*.f64 1/3 (/.f64 x y))
(.f64 (.f64 x 4) (*.f64 1/4 (/.f64 1/3 y)))
(*.f64 1/3 (/.f64 x y))
(.f64 (.f64 x 4) (*.f64 1/2 (/.f64 1/3 (+.f64 y y))))
(*.f64 1/3 (/.f64 x y))
(.f64 (.f64 (/.f64 x y) 2/3) 1/2)
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 1/3 y) x)
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 1/3 y) (/.f64 1 (/.f64 1 x)))
(*.f64 1/3 (/.f64 x y))
(.f64 (/.f64 1/3 y) (.f64 (/.f64 1 (/.f64 1 x)) 1))
(*.f64 1/3 (/.f64 x y))
(.f64 (neg.f64 x) (/.f64 1 (.f64 y -3)))
(*.f64 (neg.f64 x) (/.f64 -1/3 y))
(*.f64 x (neg.f64 (/.f64 -1/3 y)))
(.f64 (neg.f64 x) (.f64 (/.f64 -1 y) 1/3))
(.f64 (neg.f64 x) (.f64 1/3 (/.f64 -1 y)))
(.f64 (/.f64 -1 y) (.f64 x -1/3))
(.f64 x (.f64 (/.f64 -1 y) -1/3))
(.f64 (neg.f64 x) (.f64 (/.f64 1 (*.f64 y -3)) 1))
(.f64 (neg.f64 x) (/.f64 1 (.f64 y -3)))
(*.f64 (neg.f64 x) (/.f64 -1/3 y))
(*.f64 x (neg.f64 (/.f64 -1/3 y)))
(*.f64 (/.f64 x y) 1/3)
(*.f64 1/3 (/.f64 x y))
(.f64 (/.f64 1 y) (.f64 1/3 x))
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 1 y) (/.f64 x 3))
(*.f64 1/3 (/.f64 x y))
(.f64 (/.f64 1 y) (.f64 (/.f64 x 3) 1))
(*.f64 1/3 (/.f64 x y))
(.f64 1/2 (.f64 (/.f64 x y) 2/3))
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 1/3 (+.f64 y y)) (+.f64 x x))
(*.f64 1/3 (/.f64 x y))
(.f64 (.f64 (/.f64 1/3 y) 1/2) (+.f64 x x))
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 1 (/.f64 1 x)) (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 x 3) (/.f64 1 y))
(*.f64 1/3 (/.f64 x y))
(.f64 (/.f64 x (.f64 y 6)) 2)
(*.f64 1/3 (/.f64 x y))
(.f64 (/.f64 1 (.f64 y 12)) (*.f64 x 4))
(*.f64 1/3 (/.f64 x y))
(.f64 (/.f64 (.f64 1/3 (/.f64 x y)) 2) 2)
(*.f64 1/3 (/.f64 x y))
(.f64 (/.f64 1 (.f64 y -3)) (neg.f64 x))
(.f64 (neg.f64 x) (/.f64 1 (.f64 y -3)))
(*.f64 (neg.f64 x) (/.f64 -1/3 y))
(*.f64 x (neg.f64 (/.f64 -1/3 y)))
(pow.f64 (*.f64 1/3 (/.f64 x y)) 1)
(*.f64 1/3 (/.f64 x y))

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 8 computations (38.5% saved)

series0.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite119.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

2112×	`rational.json-1`
1066×	`rational.json-2`
1066×	`rational.json-4`
1066×	`rational.json-3`
1058×	`rational.json-simplify-50`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	55	13
2	177	13
3	522	13
4	1712	13
5	4146	13
6	7978	13

Stop Event

1×	node limit

Counts

1 → 99

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (/.f64 1/3 y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (/.f64 1/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (/.f64 (*.f64 x -1/3) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (/.f64 x (*.f64 3 (neg.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (/.f64 x (neg.f64 (*.f64 3 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x 1/3) (/.f64 1/2 y)) (*.f64 (*.f64 x 1/3) (/.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (/.f64 1/6 y)) (*.f64 x (/.f64 1/6 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (/.f64 x y) 2/3) 4) (/.f64 (*.f64 (/.f64 x y) 2/3) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (/.f64 1/3 y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (*.f64 x -1/3) y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 x (*.f64 3 (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 x (neg.f64 (*.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1/3 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 2/3 (/.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3 (*.f64 (*.f64 x 2/3) (/.f64 1/6 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 1/3) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (/.f64 1/3 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (/.f64 1/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (/.f64 1/6 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (*.f64 1/3 (/.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (*.f64 (/.f64 1/3 y) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (*.f64 (/.f64 1 y) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 6 (*.f64 (*.f64 x 1/3) (/.f64 1/6 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 2/3) (/.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 2/3) (*.f64 (/.f64 1 y) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 2/3) (*.f64 3 (/.f64 1/6 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x y) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (*.f64 x 1/3) (/.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 x (/.f64 1/6 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (*.f64 (/.f64 x y) 2/3) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (*.f64 1/3 (/.f64 1/2 y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (*.f64 (/.f64 1/3 y) 1/2) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (*.f64 (/.f64 1 y) 1/6) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (*.f64 (/.f64 1 y) 1/2) (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 1 (*.f64 y 12)) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 1 (*.f64 y 4)) (*.f64 x 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 x 6) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 4) (/.f64 1 (*.f64 y 12)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 4) (*.f64 1/2 (/.f64 1/6 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 4) (*.f64 1/6 (/.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x y) 2/3) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 4/3) (/.f64 1 (*.f64 y 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 4/3) (*.f64 1/2 (/.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 4/3) (*.f64 3/2 (/.f64 1/6 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (/.f64 2 y)) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (*.f64 x 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x -1/3) (/.f64 -1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (*.f64 3 (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 -1 (*.f64 3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (*.f64 x -1/3) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 x (*.f64 3 (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 x (neg.f64 (*.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (/.f64 x 2) (/.f64 1/6 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (+.f64 (*.f64 x 1/3) (/.f64 x 6)) (/.f64 1/6 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (*.f64 3 (/.f64 (*.f64 x 1/3) 2)) (/.f64 1/6 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (/.f64 x 6) (/.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (/.f64 (*.f64 x 1/3) 2) (/.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x x) 4) (*.f64 1/4 (/.f64 1/6 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x x) 4) (*.f64 1/12 (/.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x 2/3) 4) (*.f64 1/4 (/.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2/3 (/.f64 x (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2/3 (*.f64 (*.f64 x 3) (/.f64 1/6 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (/.f64 x y) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 y) (*.f64 x 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/6 (*.f64 x (/.f64 2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 y) (/.f64 x 6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 y) (*.f64 1/6 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 y) (*.f64 1/2 (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/6 y) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x -2) (*.f64 -1 (/.f64 1/6 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (neg.f64 x) 2/3) (*.f64 -1 (/.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (*.f64 (neg.f64 x) (/.f64 1/6 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (*.f64 (*.f64 x -1/3) (/.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 1/3 y)) (*.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/3 (/.f64 1/2 y)) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1/3 y) 1/2) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 y) 1/6) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 y) 1/2) (*.f64 x 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4/3 (*.f64 (+.f64 x (/.f64 x 2)) (/.f64 1/6 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4/3 (*.f64 (/.f64 x 2) (/.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x -1/3) y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (*.f64 3 (neg.f64 y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (neg.f64 (*.f64 3 y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 y y)) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x 1/3) (/.f64 1/2 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 6) (/.f64 2 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 y 4)) (*.f64 x 4/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 y) (*.f64 x -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (/.f64 1/6 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 y 12)) (*.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (/.f64 x y) 2/3) 4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 3 (neg.f64 y))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (*.f64 3 y)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (/.f64 1/3 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 x -1/3) y))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (*.f64 3 (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (neg.f64 (*.f64 3 y))))))))

simplify138.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

1520×	`rational.json-simplify-53`
1086×	`rational.json-simplify-43`
1024×	`exponential.json-simplify-26`
900×	`rational.json-simplify-2`
702×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	208	1599
1	460	1599
2	1022	1599
3	2166	1599
4	4172	1599
5	6863	1599
6	7650	1599

Stop Event

1×	node limit

Counts

123 → 99

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 (*.f64 x (/.f64 1/3 y)) 0)
(+.f64 0 (*.f64 x (/.f64 1/3 y)))
(+.f64 -1 (-.f64 1 (/.f64 (*.f64 x -1/3) y)))
(+.f64 -1 (-.f64 1 (/.f64 x (*.f64 3 (neg.f64 y)))))
(+.f64 -1 (-.f64 1 (/.f64 x (neg.f64 (*.f64 3 y)))))
(+.f64 (.f64 (.f64 x 1/3) (/.f64 1/2 y)) (.f64 (.f64 x 1/3) (/.f64 1/2 y)))
(+.f64 (.f64 x (/.f64 1/6 y)) (.f64 x (/.f64 1/6 y)))
(+.f64 (/.f64 (.f64 (/.f64 x y) 2/3) 4) (/.f64 (.f64 (/.f64 x y) 2/3) 4))
(-.f64 (*.f64 x (/.f64 1/3 y)) 0)
(-.f64 0 (/.f64 (*.f64 x -1/3) y))
(-.f64 0 (/.f64 x (*.f64 3 (neg.f64 y))))
(-.f64 0 (/.f64 x (neg.f64 (*.f64 3 y))))
(*.f64 x (/.f64 1/3 y))
(.f64 x (.f64 2/3 (/.f64 1/2 y)))
(.f64 3 (.f64 (*.f64 x 2/3) (/.f64 1/6 y)))
(.f64 (.f64 x 1/3) (/.f64 1 y))
(.f64 (.f64 x (/.f64 1/3 y)) 1)
(.f64 1 (.f64 x (/.f64 1/3 y)))
(*.f64 (+.f64 x x) (/.f64 1/6 y))
(.f64 (+.f64 x x) (.f64 1/3 (/.f64 1/2 y)))
(.f64 (+.f64 x x) (.f64 (/.f64 1/3 y) 1/2))
(.f64 (+.f64 x x) (.f64 (/.f64 1 y) 1/6))
(.f64 6 (.f64 (*.f64 x 1/3) (/.f64 1/6 y)))
(.f64 (.f64 x 2/3) (/.f64 1/2 y))
(.f64 (.f64 x 2/3) (*.f64 (/.f64 1 y) 1/2))
(.f64 (.f64 x 2/3) (*.f64 3 (/.f64 1/6 y)))
(*.f64 (/.f64 x y) 1/3)
(.f64 2 (.f64 (*.f64 x 1/3) (/.f64 1/2 y)))
(.f64 2 (.f64 x (/.f64 1/6 y)))
(.f64 2 (/.f64 (.f64 (/.f64 x y) 2/3) 4))
(.f64 2 (.f64 (*.f64 1/3 (/.f64 1/2 y)) x))
(.f64 2 (.f64 (*.f64 (/.f64 1/3 y) 1/2) x))
(.f64 2 (.f64 (*.f64 (/.f64 1 y) 1/6) x))
(.f64 2 (.f64 (.f64 (/.f64 1 y) 1/2) (.f64 x 1/3)))
(.f64 2 (.f64 (/.f64 1 (*.f64 y 12)) (+.f64 x x)))
(.f64 2 (.f64 (/.f64 1 (.f64 y 4)) (.f64 x 2/3)))
(.f64 2 (.f64 (/.f64 x 6) (/.f64 1 y)))
(.f64 (.f64 x 4) (/.f64 1 (*.f64 y 12)))
(.f64 (.f64 x 4) (*.f64 1/2 (/.f64 1/6 y)))
(.f64 (.f64 x 4) (*.f64 1/6 (/.f64 1/2 y)))
(.f64 (.f64 (/.f64 x y) 2/3) 1/2)
(.f64 (.f64 x 4/3) (/.f64 1 (*.f64 y 4)))
(.f64 (.f64 x 4/3) (*.f64 1/2 (/.f64 1/2 y)))
(.f64 (.f64 x 4/3) (*.f64 3/2 (/.f64 1/6 y)))
(.f64 (.f64 x (/.f64 2 y)) 1/6)
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 1/3 y) x)
(.f64 (/.f64 1 y) (.f64 x 1/3))
(.f64 (.f64 x -1/3) (/.f64 -1 y))
(.f64 (neg.f64 x) (/.f64 1 (.f64 3 (neg.f64 y))))
(.f64 (neg.f64 x) (/.f64 -1 (.f64 3 y)))
(.f64 -1 (/.f64 (.f64 x -1/3) y))
(.f64 -1 (/.f64 x (.f64 3 (neg.f64 y))))
(.f64 -1 (/.f64 x (neg.f64 (.f64 3 y))))
(.f64 4 (.f64 (/.f64 x 2) (/.f64 1/6 y)))
(.f64 4 (.f64 (+.f64 (*.f64 x 1/3) (/.f64 x 6)) (/.f64 1/6 y)))
(.f64 4 (.f64 (.f64 3 (/.f64 (.f64 x 1/3) 2)) (/.f64 1/6 y)))
(.f64 4 (.f64 (/.f64 x 6) (/.f64 1/2 y)))
(.f64 4 (.f64 (/.f64 (*.f64 x 1/3) 2) (/.f64 1/2 y)))
(.f64 (.f64 (+.f64 x x) 4) (*.f64 1/4 (/.f64 1/6 y)))
(.f64 (.f64 (+.f64 x x) 4) (*.f64 1/12 (/.f64 1/2 y)))
(.f64 (.f64 (.f64 x 2/3) 4) (.f64 1/4 (/.f64 1/2 y)))
(*.f64 2/3 (/.f64 x (+.f64 y y)))
(.f64 2/3 (.f64 (*.f64 x 3) (/.f64 1/6 y)))
(.f64 1/2 (.f64 (/.f64 x y) 2/3))
(.f64 (/.f64 1/2 y) (.f64 x 2/3))
(.f64 1/6 (.f64 x (/.f64 2 y)))
(*.f64 (/.f64 2 y) (/.f64 x 6))
(.f64 (/.f64 2 y) (.f64 1/6 x))
(.f64 (/.f64 2 y) (.f64 1/2 (*.f64 x 1/3)))
(*.f64 (/.f64 1/6 y) (+.f64 x x))
(.f64 (.f64 x -2) (*.f64 -1 (/.f64 1/6 y)))
(.f64 (.f64 (neg.f64 x) 2/3) (*.f64 -1 (/.f64 1/2 y)))
(.f64 -2 (.f64 (neg.f64 x) (/.f64 1/6 y)))
(.f64 -2 (.f64 (*.f64 x -1/3) (/.f64 1/2 y)))
(.f64 (.f64 2 (/.f64 1/3 y)) (*.f64 1/2 x))
(.f64 (.f64 1/3 (/.f64 1/2 y)) (+.f64 x x))
(.f64 (.f64 (/.f64 1/3 y) 1/2) (+.f64 x x))
(.f64 (.f64 (/.f64 1 y) 1/6) (+.f64 x x))
(.f64 (.f64 (/.f64 1 y) 1/2) (*.f64 x 2/3))
(.f64 4/3 (.f64 (+.f64 x (/.f64 x 2)) (/.f64 1/6 y)))
(.f64 4/3 (.f64 (/.f64 x 2) (/.f64 1/2 y)))
(.f64 (/.f64 (.f64 x -1/3) y) -1)
(.f64 (/.f64 x (.f64 3 (neg.f64 y))) -1)
(.f64 (/.f64 x (neg.f64 (.f64 3 y))) -1)
(*.f64 (/.f64 x (+.f64 y y)) 2/3)
(.f64 (.f64 (*.f64 x 1/3) (/.f64 1/2 y)) 2)
(*.f64 (/.f64 x 6) (/.f64 2 y))
(.f64 (/.f64 1 (.f64 y 4)) (*.f64 x 4/3))
(.f64 (/.f64 -1 y) (.f64 x -1/3))
(.f64 (.f64 x (/.f64 1/6 y)) 2)
(.f64 (/.f64 1 (.f64 y 12)) (*.f64 x 4))
(.f64 (/.f64 (.f64 (/.f64 x y) 2/3) 4) 2)
(.f64 (/.f64 1 (.f64 3 (neg.f64 y))) (neg.f64 x))
(.f64 (/.f64 -1 (.f64 3 y)) (neg.f64 x))
(pow.f64 (*.f64 x (/.f64 1/3 y)) 1)
(neg.f64 (/.f64 (*.f64 x -1/3) y))
(neg.f64 (/.f64 x (*.f64 3 (neg.f64 y))))
(neg.f64 (/.f64 x (neg.f64 (*.f64 3 y))))

Outputs
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(+.f64 (*.f64 x (/.f64 1/3 y)) 0)
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(+.f64 0 (*.f64 x (/.f64 1/3 y)))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(+.f64 -1 (-.f64 1 (/.f64 (*.f64 x -1/3) y)))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(+.f64 -1 (-.f64 1 (/.f64 x (*.f64 3 (neg.f64 y)))))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(+.f64 -1 (-.f64 1 (/.f64 x (neg.f64 (*.f64 3 y)))))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(+.f64 (.f64 (.f64 x 1/3) (/.f64 1/2 y)) (.f64 (.f64 x 1/3) (/.f64 1/2 y)))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(+.f64 (.f64 x (/.f64 1/6 y)) (.f64 x (/.f64 1/6 y)))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(+.f64 (/.f64 (.f64 (/.f64 x y) 2/3) 4) (/.f64 (.f64 (/.f64 x y) 2/3) 4))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(-.f64 (*.f64 x (/.f64 1/3 y)) 0)
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(-.f64 0 (/.f64 (*.f64 x -1/3) y))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(-.f64 0 (/.f64 x (*.f64 3 (neg.f64 y))))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(-.f64 0 (/.f64 x (neg.f64 (*.f64 3 y))))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(.f64 x (.f64 2/3 (/.f64 1/2 y)))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(.f64 3 (.f64 (*.f64 x 2/3) (/.f64 1/6 y)))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(.f64 (.f64 x 1/3) (/.f64 1 y))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(.f64 (.f64 x (/.f64 1/3 y)) 1)
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(.f64 1 (.f64 x (/.f64 1/3 y)))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 (+.f64 x x) (/.f64 1/6 y))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(.f64 (+.f64 x x) (.f64 1/3 (/.f64 1/2 y)))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(.f64 (+.f64 x x) (.f64 (/.f64 1/3 y) 1/2))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(.f64 (+.f64 x x) (.f64 (/.f64 1 y) 1/6))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(.f64 6 (.f64 (*.f64 x 1/3) (/.f64 1/6 y)))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(.f64 (.f64 x 2/3) (/.f64 1/2 y))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(.f64 (.f64 x 2/3) (*.f64 (/.f64 1 y) 1/2))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(.f64 (.f64 x 2/3) (*.f64 3 (/.f64 1/6 y)))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 (/.f64 x y) 1/3)
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(.f64 2 (.f64 (*.f64 x 1/3) (/.f64 1/2 y)))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(.f64 2 (.f64 x (/.f64 1/6 y)))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(.f64 2 (/.f64 (.f64 (/.f64 x y) 2/3) 4))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(.f64 2 (.f64 (*.f64 1/3 (/.f64 1/2 y)) x))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(.f64 2 (.f64 (*.f64 (/.f64 1/3 y) 1/2) x))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(.f64 2 (.f64 (*.f64 (/.f64 1 y) 1/6) x))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(.f64 2 (.f64 (.f64 (/.f64 1 y) 1/2) (.f64 x 1/3)))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(.f64 2 (.f64 (/.f64 1 (*.f64 y 12)) (+.f64 x x)))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(.f64 2 (.f64 (/.f64 1 (.f64 y 4)) (.f64 x 2/3)))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(.f64 2 (.f64 (/.f64 x 6) (/.f64 1 y)))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(.f64 (.f64 x 4) (/.f64 1 (*.f64 y 12)))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(.f64 (.f64 x 4) (*.f64 1/2 (/.f64 1/6 y)))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(.f64 (.f64 x 4) (*.f64 1/6 (/.f64 1/2 y)))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(.f64 (.f64 (/.f64 x y) 2/3) 1/2)
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(.f64 (.f64 x 4/3) (/.f64 1 (*.f64 y 4)))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(.f64 (.f64 x 4/3) (*.f64 1/2 (/.f64 1/2 y)))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(.f64 (.f64 x 4/3) (*.f64 3/2 (/.f64 1/6 y)))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(.f64 (.f64 x (/.f64 2 y)) 1/6)
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 (/.f64 1/3 y) x)
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(.f64 (/.f64 1 y) (.f64 x 1/3))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(.f64 (.f64 x -1/3) (/.f64 -1 y))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(.f64 (neg.f64 x) (/.f64 1 (.f64 3 (neg.f64 y))))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(.f64 (neg.f64 x) (/.f64 -1 (.f64 3 y)))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(.f64 -1 (/.f64 (.f64 x -1/3) y))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(.f64 -1 (/.f64 x (.f64 3 (neg.f64 y))))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(.f64 -1 (/.f64 x (neg.f64 (.f64 3 y))))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(.f64 4 (.f64 (/.f64 x 2) (/.f64 1/6 y)))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(.f64 4 (.f64 (+.f64 (*.f64 x 1/3) (/.f64 x 6)) (/.f64 1/6 y)))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(.f64 4 (.f64 (.f64 3 (/.f64 (.f64 x 1/3) 2)) (/.f64 1/6 y)))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(.f64 4 (.f64 (/.f64 x 6) (/.f64 1/2 y)))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(.f64 4 (.f64 (/.f64 (*.f64 x 1/3) 2) (/.f64 1/2 y)))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(.f64 (.f64 (+.f64 x x) 4) (*.f64 1/4 (/.f64 1/6 y)))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(.f64 (.f64 (+.f64 x x) 4) (*.f64 1/12 (/.f64 1/2 y)))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(.f64 (.f64 (.f64 x 2/3) 4) (.f64 1/4 (/.f64 1/2 y)))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 2/3 (/.f64 x (+.f64 y y)))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(.f64 2/3 (.f64 (*.f64 x 3) (/.f64 1/6 y)))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(.f64 1/2 (.f64 (/.f64 x y) 2/3))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(.f64 (/.f64 1/2 y) (.f64 x 2/3))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(.f64 1/6 (.f64 x (/.f64 2 y)))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 (/.f64 2 y) (/.f64 x 6))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(.f64 (/.f64 2 y) (.f64 1/6 x))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(.f64 (/.f64 2 y) (.f64 1/2 (*.f64 x 1/3)))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 (/.f64 1/6 y) (+.f64 x x))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(.f64 (.f64 x -2) (*.f64 -1 (/.f64 1/6 y)))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(.f64 (.f64 (neg.f64 x) 2/3) (*.f64 -1 (/.f64 1/2 y)))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(.f64 -2 (.f64 (neg.f64 x) (/.f64 1/6 y)))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(.f64 -2 (.f64 (*.f64 x -1/3) (/.f64 1/2 y)))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(.f64 (.f64 2 (/.f64 1/3 y)) (*.f64 1/2 x))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(.f64 (.f64 1/3 (/.f64 1/2 y)) (+.f64 x x))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(.f64 (.f64 (/.f64 1/3 y) 1/2) (+.f64 x x))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(.f64 (.f64 (/.f64 1 y) 1/6) (+.f64 x x))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(.f64 (.f64 (/.f64 1 y) 1/2) (*.f64 x 2/3))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(.f64 4/3 (.f64 (+.f64 x (/.f64 x 2)) (/.f64 1/6 y)))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(.f64 4/3 (.f64 (/.f64 x 2) (/.f64 1/2 y)))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(.f64 (/.f64 (.f64 x -1/3) y) -1)
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(.f64 (/.f64 x (.f64 3 (neg.f64 y))) -1)
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(.f64 (/.f64 x (neg.f64 (.f64 3 y))) -1)
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 (/.f64 x (+.f64 y y)) 2/3)
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(.f64 (.f64 (*.f64 x 1/3) (/.f64 1/2 y)) 2)
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(*.f64 (/.f64 x 6) (/.f64 2 y))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(.f64 (/.f64 1 (.f64 y 4)) (*.f64 x 4/3))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(.f64 (/.f64 -1 y) (.f64 x -1/3))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(.f64 (.f64 x (/.f64 1/6 y)) 2)
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(.f64 (/.f64 1 (.f64 y 12)) (*.f64 x 4))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(.f64 (/.f64 (.f64 (/.f64 x y) 2/3) 4) 2)
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(.f64 (/.f64 1 (.f64 3 (neg.f64 y))) (neg.f64 x))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(.f64 (/.f64 -1 (.f64 3 y)) (neg.f64 x))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(pow.f64 (*.f64 x (/.f64 1/3 y)) 1)
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(neg.f64 (/.f64 (*.f64 x -1/3) y))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(neg.f64 (/.f64 x (*.f64 3 (neg.f64 y))))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(neg.f64 (/.f64 x (neg.f64 (*.f64 3 y))))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 6 (/.f64 y x))
✓	0.5b	(/.f64 2 (*.f64 6 (/.f64 y x)))

Compiler

Compiled 21 to 11 computations (47.6% saved)

series4.0ms (0.1%)

Counts

2 → 24

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(*.f64 6 (/.f64 y x))
0.0ms	y	@	0	(*.f64 6 (/.f64 y x))
0.0ms	x	@	0	(*.f64 6 (/.f64 y x))
0.0ms	y	@	-inf	(*.f64 6 (/.f64 y x))
0.0ms	y	@	inf	(*.f64 6 (/.f64 y x))

rewrite77.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

1336×	`rational.json-1`
1336×	`rational.json-2`
1336×	`rational.json-4`
1336×	`rational.json-3`
1318×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	26
1	67	26
2	191	26
3	579	26
4	1921	26
5	4833	26

Stop Event

1×	node limit

Counts

2 → 71

Calls

Call 1

Inputs
(/.f64 2 (*.f64 6 (/.f64 y x)))
(*.f64 6 (/.f64 y x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/3 (/.f64 x y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/3 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 x y) 6) (/.f64 (/.f64 x y) 6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 2 (*.f64 (/.f64 y x) 12)) (/.f64 2 (*.f64 (/.f64 y x) 12)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (*.f64 6 y)) (/.f64 x (*.f64 6 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 1/3 (/.f64 x y)) 2) (/.f64 (*.f64 1/3 (/.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 1/3 (/.f64 x y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 x y) 6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 2 (*.f64 (/.f64 y x) 12)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 x (*.f64 6 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (*.f64 1/3 (/.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 x (/.f64 2 (*.f64 y 12))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1/3 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/3 (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 1/3 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (/.f64 2 (*.f64 y 12)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2/3 (/.f64 x y)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 4) (/.f64 1 (*.f64 y 12)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 x y)) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (/.f64 y -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x y) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 y 12)) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2/3 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (/.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/6 (*.f64 2 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 3) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (*.f64 6 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 1/3 (/.f64 x y)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 y 12)) (*.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 y -1/3)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (/.f64 2 (*.f64 y 12))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/3 (/.f64 x y)) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 6 (/.f64 y x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 6 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (/.f64 y x)) (*.f64 (/.f64 y x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (/.f64 y x)) (/.f64 (*.f64 y 4) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 y x) 3) (*.f64 (/.f64 y x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (neg.f64 (*.f64 6 (/.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 y x) 4) (*.f64 2 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 y 4) x) (*.f64 2 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 6 (/.f64 y x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (*.f64 6 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 6 (/.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 y x) 12) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2/3 (/.f64 x y)) (*.f64 (*.f64 1/3 (/.f64 x y)) (*.f64 1/3 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 y x) 24) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (/.f64 y x)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (/.f64 x y)) (*.f64 1/3 (*.f64 x (/.f64 (/.f64 x y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 6 (/.f64 y x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 6 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y 12) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2/3 (/.f64 x y))) (*.f64 2 (*.f64 (*.f64 1/3 (/.f64 x y)) (*.f64 1/3 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (*.f64 (/.f64 y x) 12)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 y x) 4) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (/.f64 x y)) (*.f64 2 (*.f64 1/3 (*.f64 x (/.f64 (/.f64 x y) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 4 (*.f64 (/.f64 y x) 12))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (/.f64 y x) 4)) 4/3)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 2 (/.f64 x y)) 1/3) (*.f64 x (/.f64 (/.f64 x y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 6 y)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 y 12)) (neg.f64 (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (/.f64 x y))) (-.f64 0 (*.f64 1/3 (*.f64 x (/.f64 (/.f64 x y) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (/.f64 (*.f64 2 (/.f64 x y)) 1/3)) (*.f64 2 (*.f64 x (/.f64 (/.f64 x y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (*.f64 2 (/.f64 x y)) 1/3)) (neg.f64 (*.f64 x (/.f64 (/.f64 x y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2/3 (/.f64 x y))) (-.f64 0 (*.f64 (*.f64 1/3 (/.f64 x y)) (*.f64 1/3 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (*.f64 6 y))) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (/.f64 (*.f64 2 (/.f64 x y)) 1/3))) (-.f64 0 (*.f64 2 (*.f64 x (/.f64 (/.f64 x y) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (/.f64 (*.f64 2 (/.f64 x y)) 1/3))) (*.f64 x (/.f64 (/.f64 x y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 6 (/.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (*.f64 6 (/.f64 y x))))))))

simplify68.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1572×	`rational.json-simplify-51`
888×	`rational.json-simplify-49`
806×	`rational.json-simplify-35`
748×	`rational.json-simplify-46`
736×	`rational.json-simplify-53`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	151	1813
1	419	1699
2	1153	1633
3	4686	1633

Stop Event

1×	node limit

Counts

95 → 88

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 (*.f64 1/3 (/.f64 x y)) 0)
(+.f64 0 (*.f64 1/3 (/.f64 x y)))
(+.f64 (/.f64 (/.f64 x y) 6) (/.f64 (/.f64 x y) 6))
(+.f64 (/.f64 2 (.f64 (/.f64 y x) 12)) (/.f64 2 (.f64 (/.f64 y x) 12)))
(+.f64 (/.f64 x (.f64 6 y)) (/.f64 x (.f64 6 y)))
(+.f64 (/.f64 (.f64 1/3 (/.f64 x y)) 2) (/.f64 (.f64 1/3 (/.f64 x y)) 2))
(-.f64 (*.f64 1/3 (/.f64 x y)) 0)
(*.f64 2 (/.f64 (/.f64 x y) 6))
(.f64 2 (/.f64 2 (.f64 (/.f64 y x) 12)))
(.f64 2 (/.f64 x (.f64 6 y)))
(.f64 2 (/.f64 (.f64 1/3 (/.f64 x y)) 2))
(.f64 2 (.f64 x (/.f64 2 (*.f64 y 12))))
(*.f64 x (/.f64 1/3 y))
(.f64 (.f64 1/3 (/.f64 x y)) 1)
(.f64 1 (.f64 1/3 (/.f64 x y)))
(.f64 (+.f64 x x) (/.f64 2 (.f64 y 12)))
(*.f64 1/3 (/.f64 x y))
(.f64 (.f64 2/3 (/.f64 x y)) 1/2)
(.f64 (.f64 x 4) (/.f64 1 (*.f64 y 12)))
(.f64 (.f64 2 (/.f64 x y)) 1/6)
(*.f64 (neg.f64 x) (/.f64 1 (/.f64 y -1/3)))
(*.f64 (/.f64 x y) 1/3)
(*.f64 (/.f64 1/3 y) x)
(.f64 (/.f64 2 (.f64 y 12)) (+.f64 x x))
(.f64 1/2 (.f64 2/3 (/.f64 x y)))
(*.f64 (/.f64 1 y) (/.f64 x 3))
(.f64 1/6 (.f64 2 (/.f64 x y)))
(*.f64 (/.f64 x 3) (/.f64 1 y))
(.f64 (/.f64 x (.f64 6 y)) 2)
(.f64 (/.f64 (.f64 1/3 (/.f64 x y)) 2) 2)
(.f64 (/.f64 1 (.f64 y 12)) (*.f64 x 4))
(*.f64 (/.f64 1 (/.f64 y -1/3)) (neg.f64 x))
(.f64 (.f64 x (/.f64 2 (*.f64 y 12))) 2)
(pow.f64 (*.f64 1/3 (/.f64 x y)) 1)
(+.f64 (*.f64 6 (/.f64 y x)) 0)
(+.f64 0 (*.f64 6 (/.f64 y x)))
(+.f64 (.f64 2 (/.f64 y x)) (.f64 (/.f64 y x) 4))
(+.f64 (.f64 2 (/.f64 y x)) (/.f64 (.f64 y 4) x))
(+.f64 (.f64 (/.f64 y x) 3) (.f64 (/.f64 y x) 3))
(+.f64 -1 (-.f64 1 (neg.f64 (*.f64 6 (/.f64 y x)))))
(+.f64 (.f64 (/.f64 y x) 4) (.f64 2 (/.f64 y x)))
(+.f64 (/.f64 (.f64 y 4) x) (.f64 2 (/.f64 y x)))
(-.f64 (*.f64 6 (/.f64 y x)) 0)
(-.f64 0 (neg.f64 (*.f64 6 (/.f64 y x))))
(/.f64 (*.f64 6 (/.f64 y x)) 1)
(/.f64 (*.f64 (/.f64 y x) 12) 2)
(/.f64 (.f64 2/3 (/.f64 x y)) (.f64 (.f64 1/3 (/.f64 x y)) (.f64 1/3 (/.f64 x y))))
(/.f64 (*.f64 (/.f64 y x) 24) 4)
(/.f64 (*.f64 2 (/.f64 y x)) 1/3)
(/.f64 (.f64 2 (/.f64 x y)) (.f64 1/3 (*.f64 x (/.f64 (/.f64 x y) y))))
(/.f64 (neg.f64 (*.f64 6 (/.f64 y x))) -1)
(/.f64 (*.f64 6 y) x)
(/.f64 (*.f64 y 12) (+.f64 x x))
(/.f64 (.f64 2 (.f64 2/3 (/.f64 x y))) (.f64 2 (.f64 (.f64 1/3 (/.f64 x y)) (.f64 1/3 (/.f64 x y)))))
(/.f64 (.f64 4 (.f64 (/.f64 y x) 12)) 8)
(/.f64 (*.f64 (/.f64 y x) 4) 2/3)
(/.f64 (.f64 4 (/.f64 x y)) (.f64 2 (.f64 1/3 (.f64 x (/.f64 (/.f64 x y) y)))))
(/.f64 (.f64 2 (.f64 4 (*.f64 (/.f64 y x) 12))) 16)
(/.f64 (.f64 2 (.f64 (/.f64 y x) 4)) 4/3)
(/.f64 (/.f64 (.f64 2 (/.f64 x y)) 1/3) (.f64 x (/.f64 (/.f64 x y) y)))
(/.f64 (neg.f64 (*.f64 6 y)) (neg.f64 x))
(/.f64 (neg.f64 (*.f64 y 12)) (neg.f64 (+.f64 x x)))
(/.f64 (neg.f64 (.f64 2 (/.f64 x y))) (-.f64 0 (.f64 1/3 (*.f64 x (/.f64 (/.f64 x y) y)))))
(/.f64 (.f64 2 (/.f64 (.f64 2 (/.f64 x y)) 1/3)) (.f64 2 (.f64 x (/.f64 (/.f64 x y) y))))
(/.f64 (neg.f64 (/.f64 (.f64 2 (/.f64 x y)) 1/3)) (neg.f64 (.f64 x (/.f64 (/.f64 x y) y))))
(/.f64 (neg.f64 (.f64 2/3 (/.f64 x y))) (-.f64 0 (.f64 (.f64 1/3 (/.f64 x y)) (.f64 1/3 (/.f64 x y)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 6 y))) x)
(/.f64 (neg.f64 (.f64 2 (/.f64 (.f64 2 (/.f64 x y)) 1/3))) (-.f64 0 (.f64 2 (.f64 x (/.f64 (/.f64 x y) y)))))
(/.f64 (neg.f64 (neg.f64 (/.f64 (.f64 2 (/.f64 x y)) 1/3))) (.f64 x (/.f64 (/.f64 x y) y)))
(pow.f64 (*.f64 6 (/.f64 y x)) 1)
(neg.f64 (neg.f64 (*.f64 6 (/.f64 y x))))

Outputs
(*.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 (*.f64 1/3 (/.f64 x y)) 0)
(*.f64 1/3 (/.f64 x y))
(+.f64 0 (*.f64 1/3 (/.f64 x y)))
(*.f64 1/3 (/.f64 x y))
(+.f64 (/.f64 (/.f64 x y) 6) (/.f64 (/.f64 x y) 6))
(+.f64 (/.f64 x (.f64 y 6)) (/.f64 x (.f64 y 6)))
(+.f64 (/.f64 x (/.f64 y 1/6)) (/.f64 x (/.f64 y 1/6)))
(+.f64 (/.f64 2 (.f64 (/.f64 y x) 12)) (/.f64 2 (.f64 (/.f64 y x) 12)))
(+.f64 (/.f64 x (.f64 y 6)) (/.f64 x (.f64 y 6)))
(+.f64 (/.f64 x (/.f64 y 1/6)) (/.f64 x (/.f64 y 1/6)))
(+.f64 (/.f64 x (.f64 6 y)) (/.f64 x (.f64 6 y)))
(+.f64 (/.f64 x (.f64 y 6)) (/.f64 x (.f64 y 6)))
(+.f64 (/.f64 x (/.f64 y 1/6)) (/.f64 x (/.f64 y 1/6)))
(+.f64 (/.f64 (.f64 1/3 (/.f64 x y)) 2) (/.f64 (.f64 1/3 (/.f64 x y)) 2))
(*.f64 1/3 (/.f64 x y))
(-.f64 (*.f64 1/3 (/.f64 x y)) 0)
(*.f64 1/3 (/.f64 x y))
(*.f64 2 (/.f64 (/.f64 x y) 6))
(.f64 2 (/.f64 x (.f64 y 6)))
(*.f64 2 (/.f64 x (/.f64 y 1/6)))
(.f64 2 (/.f64 2 (.f64 (/.f64 y x) 12)))
(.f64 2 (/.f64 x (.f64 y 6)))
(*.f64 2 (/.f64 x (/.f64 y 1/6)))
(.f64 2 (/.f64 x (.f64 6 y)))
(.f64 2 (/.f64 x (.f64 y 6)))
(*.f64 2 (/.f64 x (/.f64 y 1/6)))
(.f64 2 (/.f64 (.f64 1/3 (/.f64 x y)) 2))
(*.f64 1/3 (/.f64 x y))
(.f64 2 (.f64 x (/.f64 2 (*.f64 y 12))))
(.f64 x (.f64 (/.f64 2 (*.f64 y 12)) 2))
(.f64 x (.f64 2 (/.f64 1/6 y)))
(*.f64 x (/.f64 1/3 y))
(.f64 (.f64 1/3 (/.f64 x y)) 1)
(*.f64 1/3 (/.f64 x y))
(.f64 1 (.f64 1/3 (/.f64 x y)))
(*.f64 1/3 (/.f64 x y))
(.f64 (+.f64 x x) (/.f64 2 (.f64 y 12)))
(.f64 (/.f64 2 (.f64 y 12)) (+.f64 x x))
(*.f64 (/.f64 1/6 y) (+.f64 x x))
(*.f64 1/3 (/.f64 x y))
(.f64 (.f64 2/3 (/.f64 x y)) 1/2)
(*.f64 1/3 (/.f64 x y))
(.f64 (.f64 x 4) (/.f64 1 (*.f64 y 12)))
(.f64 x (.f64 4 (/.f64 1/12 y)))
(.f64 4 (.f64 x (/.f64 1/12 y)))
(.f64 (.f64 2 (/.f64 x y)) 1/6)
(*.f64 1/3 (/.f64 x y))
(*.f64 (neg.f64 x) (/.f64 1 (/.f64 y -1/3)))
(*.f64 (neg.f64 x) (/.f64 -1/3 y))
(*.f64 x (neg.f64 (/.f64 -1/3 y)))
(*.f64 (/.f64 x y) 1/3)
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 1/3 y) x)
(*.f64 x (/.f64 1/3 y))
(.f64 (/.f64 2 (.f64 y 12)) (+.f64 x x))
(*.f64 (/.f64 1/6 y) (+.f64 x x))
(.f64 1/2 (.f64 2/3 (/.f64 x y)))
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 1 y) (/.f64 x 3))
(.f64 1/6 (.f64 2 (/.f64 x y)))
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 x 3) (/.f64 1 y))
(*.f64 (/.f64 1 y) (/.f64 x 3))
(.f64 (/.f64 x (.f64 6 y)) 2)
(.f64 2 (/.f64 x (.f64 y 6)))
(*.f64 2 (/.f64 x (/.f64 y 1/6)))
(.f64 (/.f64 (.f64 1/3 (/.f64 x y)) 2) 2)
(*.f64 1/3 (/.f64 x y))
(.f64 (/.f64 1 (.f64 y 12)) (*.f64 x 4))
(.f64 (.f64 x 4) (/.f64 1 (*.f64 y 12)))
(.f64 x (.f64 4 (/.f64 1/12 y)))
(.f64 4 (.f64 x (/.f64 1/12 y)))
(*.f64 (/.f64 1 (/.f64 y -1/3)) (neg.f64 x))
(*.f64 (neg.f64 x) (/.f64 1 (/.f64 y -1/3)))
(*.f64 (neg.f64 x) (/.f64 -1/3 y))
(*.f64 x (neg.f64 (/.f64 -1/3 y)))
(.f64 (.f64 x (/.f64 2 (*.f64 y 12))) 2)
(.f64 x (.f64 (/.f64 2 (*.f64 y 12)) 2))
(.f64 x (.f64 2 (/.f64 1/6 y)))
(pow.f64 (*.f64 1/3 (/.f64 x y)) 1)
(*.f64 1/3 (/.f64 x y))
(+.f64 (*.f64 6 (/.f64 y x)) 0)
(*.f64 6 (/.f64 y x))
(*.f64 y (/.f64 6 x))
(+.f64 0 (*.f64 6 (/.f64 y x)))
(*.f64 6 (/.f64 y x))
(*.f64 y (/.f64 6 x))
(+.f64 (.f64 2 (/.f64 y x)) (.f64 (/.f64 y x) 4))
(*.f64 6 (/.f64 y x))
(*.f64 y (/.f64 6 x))
(+.f64 (.f64 2 (/.f64 y x)) (/.f64 (.f64 y 4) x))
(*.f64 6 (/.f64 y x))
(*.f64 y (/.f64 6 x))
(+.f64 (.f64 (/.f64 y x) 3) (.f64 (/.f64 y x) 3))
(*.f64 6 (/.f64 y x))
(*.f64 y (/.f64 6 x))
(+.f64 -1 (-.f64 1 (neg.f64 (*.f64 6 (/.f64 y x)))))
(*.f64 6 (/.f64 y x))
(*.f64 y (/.f64 6 x))
(+.f64 (.f64 (/.f64 y x) 4) (.f64 2 (/.f64 y x)))
(*.f64 6 (/.f64 y x))
(*.f64 y (/.f64 6 x))
(+.f64 (/.f64 (.f64 y 4) x) (.f64 2 (/.f64 y x)))
(*.f64 6 (/.f64 y x))
(*.f64 y (/.f64 6 x))
(-.f64 (*.f64 6 (/.f64 y x)) 0)
(*.f64 6 (/.f64 y x))
(*.f64 y (/.f64 6 x))
(-.f64 0 (neg.f64 (*.f64 6 (/.f64 y x))))
(*.f64 6 (/.f64 y x))
(*.f64 y (/.f64 6 x))
(/.f64 (*.f64 6 (/.f64 y x)) 1)
(*.f64 6 (/.f64 y x))
(*.f64 y (/.f64 6 x))
(/.f64 (*.f64 (/.f64 y x) 12) 2)
(*.f64 6 (/.f64 y x))
(*.f64 y (/.f64 6 x))
(/.f64 (.f64 2/3 (/.f64 x y)) (.f64 (.f64 1/3 (/.f64 x y)) (.f64 1/3 (/.f64 x y))))
(/.f64 (.f64 (/.f64 x y) 2/3) (.f64 (.f64 1/3 (/.f64 x y)) (.f64 1/3 (/.f64 x y))))
(.f64 (/.f64 x y) (/.f64 2 (.f64 (/.f64 x y) (*.f64 1/3 (/.f64 x y)))))
(.f64 6 (/.f64 x (.f64 y (.f64 x (/.f64 x (.f64 y y))))))
(/.f64 (/.f64 (*.f64 (/.f64 x y) 6) (/.f64 x y)) (/.f64 x y))
(/.f64 (*.f64 (/.f64 y x) 24) 4)
(*.f64 6 (/.f64 y x))
(*.f64 y (/.f64 6 x))
(/.f64 (*.f64 2 (/.f64 y x)) 1/3)
(*.f64 6 (/.f64 y x))
(*.f64 y (/.f64 6 x))
(/.f64 (.f64 2 (/.f64 x y)) (.f64 1/3 (*.f64 x (/.f64 (/.f64 x y) y))))
(/.f64 (.f64 (/.f64 x y) 2/3) (.f64 (.f64 1/3 (/.f64 x y)) (.f64 1/3 (/.f64 x y))))
(.f64 (/.f64 x y) (/.f64 2 (.f64 (/.f64 x y) (*.f64 1/3 (/.f64 x y)))))
(.f64 6 (/.f64 x (.f64 y (.f64 x (/.f64 x (.f64 y y))))))
(/.f64 (/.f64 (*.f64 (/.f64 x y) 6) (/.f64 x y)) (/.f64 x y))
(/.f64 (neg.f64 (*.f64 6 (/.f64 y x))) -1)
(*.f64 6 (/.f64 y x))
(*.f64 y (/.f64 6 x))
(/.f64 (*.f64 6 y) x)
(*.f64 6 (/.f64 y x))
(*.f64 y (/.f64 6 x))
(/.f64 (*.f64 y 12) (+.f64 x x))
(*.f64 6 (/.f64 y x))
(*.f64 y (/.f64 6 x))
(/.f64 (.f64 2 (.f64 2/3 (/.f64 x y))) (.f64 2 (.f64 (.f64 1/3 (/.f64 x y)) (.f64 1/3 (/.f64 x y)))))
(/.f64 (.f64 (/.f64 x y) 2/3) (.f64 (.f64 1/3 (/.f64 x y)) (.f64 1/3 (/.f64 x y))))
(.f64 (/.f64 x y) (/.f64 2 (.f64 (/.f64 x y) (*.f64 1/3 (/.f64 x y)))))
(.f64 6 (/.f64 x (.f64 y (.f64 x (/.f64 x (.f64 y y))))))
(/.f64 (/.f64 (*.f64 (/.f64 x y) 6) (/.f64 x y)) (/.f64 x y))
(/.f64 (.f64 4 (.f64 (/.f64 y x) 12)) 8)
(*.f64 6 (/.f64 y x))
(*.f64 y (/.f64 6 x))
(/.f64 (*.f64 (/.f64 y x) 4) 2/3)
(*.f64 6 (/.f64 y x))
(*.f64 y (/.f64 6 x))
(/.f64 (.f64 4 (/.f64 x y)) (.f64 2 (.f64 1/3 (.f64 x (/.f64 (/.f64 x y) y)))))
(/.f64 (.f64 (/.f64 x y) 2/3) (.f64 (.f64 1/3 (/.f64 x y)) (.f64 1/3 (/.f64 x y))))
(.f64 (/.f64 x y) (/.f64 2 (.f64 (/.f64 x y) (*.f64 1/3 (/.f64 x y)))))
(.f64 6 (/.f64 x (.f64 y (.f64 x (/.f64 x (.f64 y y))))))
(/.f64 (/.f64 (*.f64 (/.f64 x y) 6) (/.f64 x y)) (/.f64 x y))
(/.f64 (.f64 2 (.f64 4 (*.f64 (/.f64 y x) 12))) 16)
(*.f64 6 (/.f64 y x))
(*.f64 y (/.f64 6 x))
(/.f64 (.f64 2 (.f64 (/.f64 y x) 4)) 4/3)
(*.f64 6 (/.f64 y x))
(*.f64 y (/.f64 6 x))
(/.f64 (/.f64 (.f64 2 (/.f64 x y)) 1/3) (.f64 x (/.f64 (/.f64 x y) y)))
(/.f64 (.f64 (/.f64 x y) 2/3) (.f64 (.f64 1/3 (/.f64 x y)) (.f64 1/3 (/.f64 x y))))
(.f64 (/.f64 x y) (/.f64 2 (.f64 (/.f64 x y) (*.f64 1/3 (/.f64 x y)))))
(.f64 6 (/.f64 x (.f64 y (.f64 x (/.f64 x (.f64 y y))))))
(/.f64 (/.f64 (*.f64 (/.f64 x y) 6) (/.f64 x y)) (/.f64 x y))
(/.f64 (neg.f64 (*.f64 6 y)) (neg.f64 x))
(*.f64 6 (/.f64 y x))
(*.f64 y (/.f64 6 x))
(/.f64 (neg.f64 (*.f64 y 12)) (neg.f64 (+.f64 x x)))
(*.f64 6 (/.f64 y x))
(*.f64 y (/.f64 6 x))
(/.f64 (neg.f64 (.f64 2 (/.f64 x y))) (-.f64 0 (.f64 1/3 (*.f64 x (/.f64 (/.f64 x y) y)))))
(/.f64 (.f64 (/.f64 x y) 2/3) (.f64 (.f64 1/3 (/.f64 x y)) (.f64 1/3 (/.f64 x y))))
(.f64 (/.f64 x y) (/.f64 2 (.f64 (/.f64 x y) (*.f64 1/3 (/.f64 x y)))))
(.f64 6 (/.f64 x (.f64 y (.f64 x (/.f64 x (.f64 y y))))))
(/.f64 (/.f64 (*.f64 (/.f64 x y) 6) (/.f64 x y)) (/.f64 x y))
(/.f64 (.f64 2 (/.f64 (.f64 2 (/.f64 x y)) 1/3)) (.f64 2 (.f64 x (/.f64 (/.f64 x y) y))))
(/.f64 (.f64 (/.f64 x y) 2/3) (.f64 (.f64 1/3 (/.f64 x y)) (.f64 1/3 (/.f64 x y))))
(.f64 (/.f64 x y) (/.f64 2 (.f64 (/.f64 x y) (*.f64 1/3 (/.f64 x y)))))
(.f64 6 (/.f64 x (.f64 y (.f64 x (/.f64 x (.f64 y y))))))
(/.f64 (/.f64 (*.f64 (/.f64 x y) 6) (/.f64 x y)) (/.f64 x y))
(/.f64 (neg.f64 (/.f64 (.f64 2 (/.f64 x y)) 1/3)) (neg.f64 (.f64 x (/.f64 (/.f64 x y) y))))
(/.f64 (.f64 (/.f64 x y) 2/3) (.f64 (.f64 1/3 (/.f64 x y)) (.f64 1/3 (/.f64 x y))))
(.f64 (/.f64 x y) (/.f64 2 (.f64 (/.f64 x y) (*.f64 1/3 (/.f64 x y)))))
(.f64 6 (/.f64 x (.f64 y (.f64 x (/.f64 x (.f64 y y))))))
(/.f64 (/.f64 (*.f64 (/.f64 x y) 6) (/.f64 x y)) (/.f64 x y))
(/.f64 (neg.f64 (.f64 2/3 (/.f64 x y))) (-.f64 0 (.f64 (.f64 1/3 (/.f64 x y)) (.f64 1/3 (/.f64 x y)))))
(/.f64 (.f64 (/.f64 x y) 2/3) (.f64 (.f64 1/3 (/.f64 x y)) (.f64 1/3 (/.f64 x y))))
(.f64 (/.f64 x y) (/.f64 2 (.f64 (/.f64 x y) (*.f64 1/3 (/.f64 x y)))))
(.f64 6 (/.f64 x (.f64 y (.f64 x (/.f64 x (.f64 y y))))))
(/.f64 (/.f64 (*.f64 (/.f64 x y) 6) (/.f64 x y)) (/.f64 x y))
(/.f64 (neg.f64 (neg.f64 (*.f64 6 y))) x)
(*.f64 6 (/.f64 y x))
(*.f64 y (/.f64 6 x))
(/.f64 (neg.f64 (.f64 2 (/.f64 (.f64 2 (/.f64 x y)) 1/3))) (-.f64 0 (.f64 2 (.f64 x (/.f64 (/.f64 x y) y)))))
(/.f64 (.f64 (/.f64 x y) 2/3) (.f64 (.f64 1/3 (/.f64 x y)) (.f64 1/3 (/.f64 x y))))
(.f64 (/.f64 x y) (/.f64 2 (.f64 (/.f64 x y) (*.f64 1/3 (/.f64 x y)))))
(.f64 6 (/.f64 x (.f64 y (.f64 x (/.f64 x (.f64 y y))))))
(/.f64 (/.f64 (*.f64 (/.f64 x y) 6) (/.f64 x y)) (/.f64 x y))
(/.f64 (neg.f64 (neg.f64 (/.f64 (.f64 2 (/.f64 x y)) 1/3))) (.f64 x (/.f64 (/.f64 x y) y)))
(/.f64 (.f64 (/.f64 x y) 2/3) (.f64 (.f64 1/3 (/.f64 x y)) (.f64 1/3 (/.f64 x y))))
(.f64 (/.f64 x y) (/.f64 2 (.f64 (/.f64 x y) (*.f64 1/3 (/.f64 x y)))))
(.f64 6 (/.f64 x (.f64 y (.f64 x (/.f64 x (.f64 y y))))))
(/.f64 (/.f64 (*.f64 (/.f64 x y) 6) (/.f64 x y)) (/.f64 x y))
(pow.f64 (*.f64 6 (/.f64 y x)) 1)
(*.f64 6 (/.f64 y x))
(*.f64 y (/.f64 6 x))
(neg.f64 (neg.f64 (*.f64 6 (/.f64 y x))))
(*.f64 6 (/.f64 y x))
(*.f64 y (/.f64 6 x))

localize14.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 x (.f64 (.f64 y 9) (/.f64 y (*.f64 y 3))))
✓	0.3b	(.f64 (.f64 y 9) (/.f64 y (*.f64 y 3)))
✓	0.3b	(/.f64 y (*.f64 y 3))

Compiler

Compiled 37 to 24 computations (35.1% saved)

series1.0ms (0%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	y	@	inf	(.f64 (.f64 y 9) (/.f64 y (*.f64 y 3)))
0.0ms	y	@	-inf	(.f64 (.f64 y 9) (/.f64 y (*.f64 y 3)))
0.0ms	y	@	0	(.f64 (.f64 y 9) (/.f64 y (*.f64 y 3)))
0.0ms	x	@	-inf	(/.f64 x (.f64 (.f64 y 9) (/.f64 y (*.f64 y 3))))
0.0ms	y	@	0	(/.f64 y (*.f64 y 3))

rewrite76.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

1960×	`rational.json-1`
1960×	`rational.json-2`
1960×	`rational.json-4`
1960×	`rational.json-3`
834×	`rational.json-simplify-61`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	69
1	81	69
2	247	21
3	1085	21
4	5022	21

Stop Event

1×	node limit

Counts

3 → 84

Calls

Call 1

Inputs
(/.f64 y (*.f64 y 3))
(.f64 (.f64 y 9) (/.f64 y (*.f64 y 3)))
(/.f64 x (.f64 (.f64 y 9) (/.f64 y (*.f64 y 3))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x . 1/3)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 y (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y 3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 y 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 y y) y)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 y 3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y 9) 3)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y 6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y 18) 6)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y 12) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 y 9) 4) 12)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 y 12)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y 18) 3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 y 9) 4) 3) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y 3) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (/.f64 1/3 y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (/.f64 1/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (/.f64 1/3 y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 (/.f64 x y) (*.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (*.f64 (/.f64 (/.f64 x y) (*.f64 y 3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3 (*.f64 x (/.f64 1/9 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 3) (*.f64 x (/.f64 (/.f64 1/9 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 3) (*.f64 (*.f64 x (/.f64 (/.f64 1/9 y) y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (/.f64 (*.f64 y 9) (*.f64 y (*.f64 y (/.f64 9 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (/.f64 (*.f64 y 18) (*.f64 y (*.f64 18 (/.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 9 (/.f64 (*.f64 y 1/3) (*.f64 y (*.f64 y (/.f64 9 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 9) (/.f64 1/3 (*.f64 y (*.f64 y (/.f64 9 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 9) (/.f64 2/3 (*.f64 y (*.f64 18 (/.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1/3 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 3 (/.f64 1/9 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (/.f64 1/3 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (/.f64 1/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y y) (/.f64 (*.f64 x (/.f64 1/9 y)) (*.f64 y 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y y) (*.f64 (/.f64 (*.f64 x (/.f64 1/9 y)) (*.f64 y 2/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 6) (/.f64 (/.f64 x (*.f64 y 18)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 6) (*.f64 (/.f64 (/.f64 x (*.f64 y 18)) y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (/.f64 1/6 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (*.f64 (/.f64 1 (*.f64 y 18)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (*.f64 (/.f64 1/6 y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (*.f64 1/2 (/.f64 1/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (/.f64 1/9 y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 x (*.f64 y 6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (*.f64 y 3) (*.f64 y (*.f64 18 (/.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (*.f64 x (/.f64 1/3 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x y) 3/2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 4) (/.f64 1 (*.f64 y 12)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x 2/9) y) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2/3 (/.f64 (*.f64 y 9) (*.f64 y (*.f64 18 (/.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 18) (/.f64 1/3 (*.f64 y (*.f64 18 (/.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 12) (/.f64 1 (*.f64 2 (*.f64 y (*.f64 18 (/.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 12) (/.f64 1 (*.f64 (+.f64 y y) (*.f64 18 (/.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 6 (/.f64 x (*.f64 y 18)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 6 (*.f64 (/.f64 x (*.f64 y 18)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 3 x) (/.f64 1/9 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 1/3) (/.f64 9 (*.f64 y (*.f64 y (/.f64 9 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x y) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 1/9) (/.f64 3 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (/.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/9 y) (*.f64 3 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (neg.f64 (*.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (*.f64 1/3 (neg.f64 (*.f64 y 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x y) -9) -3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (*.f64 y 3)) (/.f64 1 (/.f64 y (/.f64 (/.f64 x y) -9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 x (neg.f64 (*.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 x (*.f64 1/3 (neg.f64 (*.f64 y 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (*.f64 x (/.f64 1/9 y)) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 2/3) (/.f64 9 (*.f64 y (*.f64 18 (/.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/9 (/.f64 3 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (/.f64 (/.f64 1/9 y) y)) (*.f64 y 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x y) (*.f64 y 3)) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (/.f64 1/9 y)) (*.f64 y 2/3)) (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 1/2) (/.f64 6 (*.f64 y (*.f64 y (/.f64 9 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3/2 (/.f64 (+.f64 y y) (*.f64 y (*.f64 y (/.f64 9 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 (/.f64 x y) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 (+.f64 y y) (*.f64 y (*.f64 3 (/.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/6 (/.f64 (*.f64 y 18) (*.f64 y (*.f64 y (/.f64 9 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 9/2) (/.f64 2/3 (*.f64 y (*.f64 y (/.f64 9 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/6 y) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 y 18)) (*.f64 x 6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x (*.f64 y 18)) y) (*.f64 y 6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (*.f64 y 18)) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (/.f64 1/3 y)) 1)))))

simplify81.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1238×	`rational.json-simplify-51`
1166×	`rational.json-simplify-49`
1126×	`rational.json-simplify-53`
1122×	`rational.json-simplify-46`
1064×	`rational.json-simplify-35`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	201	2206
1	539	2118
2	1422	1974
3	6114	1968

Stop Event

1×	node limit

Counts

132 → 129

Calls

Call 1

Inputs
1/3
1/3
1/3
1/3
1/3
1/3
1/3
1/3
1/3
1/3
1/3
1/3
(*.f64 3 y)
(*.f64 3 y)
(*.f64 3 y)
(*.f64 3 y)
(*.f64 3 y)
(*.f64 3 y)
(*.f64 3 y)
(*.f64 3 y)
(*.f64 3 y)
(*.f64 3 y)
(*.f64 3 y)
(*.f64 3 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))
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1/3
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Outputs
1/3
1/3
1/3
1/3
1/3
1/3
1/3
1/3
1/3
1/3
1/3
1/3
(*.f64 3 y)
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1/3
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(.f64 (/.f64 (/.f64 6 y) (.f64 y (/.f64 9 x))) (*.f64 y 1/2))
(.f64 y (.f64 1/2 (/.f64 (/.f64 6 (*.f64 y y)) (/.f64 9 x))))
(.f64 3/2 (/.f64 (+.f64 y y) (.f64 y (*.f64 y (/.f64 9 x)))))
(.f64 3/2 (/.f64 (/.f64 (+.f64 y y) y) (.f64 y (/.f64 9 x))))
(*.f64 3/2 (/.f64 x (/.f64 9 (+.f64 (/.f64 1 y) (/.f64 1 y)))))
(.f64 3/2 (/.f64 (.f64 2 (/.f64 1 y)) (/.f64 9 x)))
(*.f64 1/2 (/.f64 (/.f64 x y) 3/2))
(*.f64 x (/.f64 1/3 y))
(.f64 1/2 (/.f64 (+.f64 y y) (.f64 y (*.f64 3 (/.f64 y x)))))
(.f64 1/2 (/.f64 (+.f64 y y) (.f64 3 (*.f64 (/.f64 y x) y))))
(.f64 1/2 (/.f64 (/.f64 (+.f64 y y) y) (.f64 3 (/.f64 y x))))
(.f64 1/2 (/.f64 (/.f64 (.f64 y 2/3) (/.f64 y x)) y))
(.f64 1/2 (/.f64 (.f64 y 2/3) (*.f64 y (/.f64 y x))))
(.f64 1/6 (/.f64 (.f64 y 18) (.f64 y (.f64 y (/.f64 9 x)))))
(.f64 1/3 (.f64 9 (/.f64 y (.f64 y (.f64 y (/.f64 9 x))))))
(.f64 (.f64 y 9) (/.f64 (/.f64 (/.f64 1/3 y) (/.f64 9 x)) y))
(.f64 (/.f64 (/.f64 y y) (.f64 y (/.f64 9 x))) 3)
(.f64 (.f64 y 9/2) (/.f64 2/3 (.f64 y (.f64 y (/.f64 9 x)))))
(.f64 y (.f64 9/2 (/.f64 (/.f64 2/3 y) (*.f64 y (/.f64 9 x)))))
(.f64 (.f64 y 9/2) (/.f64 (/.f64 2/3 y) (*.f64 y (/.f64 9 x))))
(*.f64 (/.f64 1/6 y) (+.f64 x x))
(*.f64 x (/.f64 1/3 y))
(.f64 (/.f64 1 (.f64 y 18)) (*.f64 x 6))
(.f64 (+.f64 x x) (.f64 3 (/.f64 1 (*.f64 y 18))))
(.f64 6 (.f64 x (/.f64 1/18 y)))
(.f64 3 (/.f64 x (.f64 y 9)))
(.f64 (/.f64 (/.f64 x (.f64 y 18)) y) (*.f64 y 6))
(.f64 1/3 (.f64 18 (/.f64 y (.f64 y (.f64 18 (/.f64 y x))))))
(.f64 1/3 (.f64 y (/.f64 18 (.f64 (/.f64 y x) (.f64 y 18)))))
(*.f64 1/3 (/.f64 x (/.f64 y (/.f64 y y))))
(.f64 1/3 (/.f64 y (.f64 y (/.f64 y x))))
(.f64 (/.f64 x (.f64 y 18)) 6)
(.f64 (+.f64 x x) (.f64 3 (/.f64 1 (*.f64 y 18))))
(.f64 6 (.f64 x (/.f64 1/18 y)))
(.f64 3 (/.f64 x (.f64 y 9)))
(pow.f64 (*.f64 x (/.f64 1/3 y)) 1)
(*.f64 x (/.f64 1/3 y))

eval85.0ms (2.2%)

Compiler: Compiled 4407 to 2885 computations (34.5% saved)

prune62.0ms (1.6%)

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	479	1	480
Fresh	0	0	0
Picked	1	0	1
Done	0	6	6
Total	480	7	487

Error

Counts

487 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.2b	(/.f64 (/.f64 x y) 3)
✓	0.3b	(/.f64 (/.f64 x 3) y)
▶	0.3b	(/.f64 x (/.f64 (*.f64 y 18) 6))
✓	0.2b	(/.f64 x (*.f64 y 3))
✓	0.6b	(/.f64 2 (*.f64 6 (/.f64 y x)))
✓	0.6b	(/.f64 1/3 (/.f64 y x))
✓	0.3b	(*.f64 (/.f64 1/3 y) x)

Compiler

Compiled 53 to 39 computations (26.4% saved)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 x (/.f64 (*.f64 y 18) 6))
✓	0.3b	(/.f64 (*.f64 y 18) 6)

Compiler

Compiled 21 to 15 computations (28.6% saved)

series1.0ms (0%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	y	@	0	(/.f64 (*.f64 y 18) 6)
0.0ms	y	@	-inf	(/.f64 (*.f64 y 18) 6)
0.0ms	y	@	inf	(/.f64 (*.f64 y 18) 6)
0.0ms	x	@	0	(/.f64 x (/.f64 (*.f64 y 18) 6))
0.0ms	x	@	inf	(/.f64 x (/.f64 (*.f64 y 18) 6))

rewrite93.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1738×	`rational.json-simplify-35`
1730×	`rational.json-1`
1730×	`rational.json-2`
1730×	`rational.json-3`
898×	`exponential.json-3`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	68	20
2	208	20
3	669	20
4	2592	20
5	6778	20

Stop Event

1×	node limit

Counts

2 → 80

Calls

Call 1

Inputs
(/.f64 (*.f64 y 18) 6)
(/.f64 x (/.f64 (*.f64 y 18) 6))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 y (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y 3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 y 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 y y) y)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 y 3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (*.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y 3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 18 (*.f64 y 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 18) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 6 (*.f64 y 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 y 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 6) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 36) 1/12)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 1/6) 18)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (*.f64 y 18) 12))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (*.f64 y 3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (+.f64 y (*.f64 y 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y y) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 12) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 72) 1/24)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/6 (*.f64 y 18))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3 y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (*.f64 y 3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 36 (*.f64 y 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 36 (*.f64 1/6 (*.f64 y 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (*.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 1/3) 9)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (/.f64 (*.f64 y 18) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 y 6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 1/2) 6)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 9 (*.f64 y 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 1/12) 36)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3/2 (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/12 (*.f64 y 36))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/6 (*.f64 y 1/2)) 36)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 y 18) 12) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 y 12))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 y 18) 2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 y 3) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/24 (*.f64 y 72))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (*.f64 y 3)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (/.f64 1/3 y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (/.f64 1/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (/.f64 1/3 y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 6 (*.f64 (/.f64 x y) 1/18))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1/3 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (/.f64 1/3 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (/.f64 1/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (/.f64 1 (*.f64 y 6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (*.f64 (/.f64 1/3 y) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 x (*.f64 y 6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (*.f64 x (/.f64 1/3 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 1 (*.f64 y 6)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x y) 3/2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 4) (/.f64 1 (*.f64 y 12)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 1/18) (/.f64 6 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 y) (/.f64 1 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 -1 (*.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x y) 1/18) 6)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 x (neg.f64 (*.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (*.f64 y 1/6)) 1/18)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/18 (/.f64 x (*.f64 y 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/18 y) (/.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 6 y) (*.f64 x 1/18))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 y 6)) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 (/.f64 x y) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1/3 y) 1/2) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 1 x)) (/.f64 1/3 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (neg.f64 (*.f64 y 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1/6) (/.f64 1/18 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (*.f64 y 6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (/.f64 1/3 y)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 y 12)) (*.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (*.f64 y 3)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1 (*.f64 y 6)) (/.f64 1 (*.f64 y 6))) x)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (/.f64 1/3 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (neg.f64 (*.f64 y 3))))))))

simplify110.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

1698×	`rational.json-simplify-35`
1514×	`rational.json-simplify-2`
1086×	`rational.json-simplify-51`
806×	`rational.json-simplify-46`
700×	`rational.json-simplify-49`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	145	1238
1	269	1226
2	748	1226
3	3217	1226
4	6230	1226
5	7660	1226

Stop Event

1×	node limit

Counts

116 → 85

Calls

Call 1

Inputs
(*.f64 3 y)
(*.f64 3 y)
(*.f64 3 y)
(*.f64 3 y)
(*.f64 3 y)
(*.f64 3 y)
(*.f64 3 y)
(*.f64 3 y)
(*.f64 3 y)
(*.f64 3 y)
(*.f64 3 y)
(*.f64 3 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 x y))
(+.f64 y (+.f64 y y))
(+.f64 (*.f64 y 3) 0)
(+.f64 0 (*.f64 y 3))
(+.f64 (+.f64 y y) y)
(-.f64 (*.f64 y 3) 0)
(-.f64 0 (neg.f64 (*.f64 y 3)))
(*.f64 y 3)
(.f64 18 (.f64 y 1/6))
(.f64 (.f64 y 18) 1/6)
(.f64 6 (.f64 y 1/2))
(.f64 (.f64 y 3) 1)
(.f64 1 (.f64 y 3))
(.f64 (.f64 y 6) 1/2)
(.f64 (.f64 y 36) 1/12)
(.f64 (.f64 y 1/6) 18)
(.f64 2 (/.f64 (.f64 y 18) 12))
(.f64 2 (/.f64 (.f64 y 3) 2))
(.f64 2 (+.f64 y (.f64 y 1/2)))
(*.f64 (+.f64 y y) 3/2)
(.f64 (.f64 y 12) 1/4)
(.f64 (.f64 y 72) 1/24)
(.f64 1/6 (.f64 y 18))
(*.f64 3 y)
(.f64 (neg.f64 (.f64 y 3)) -1)
(.f64 36 (.f64 y 1/12))
(.f64 36 (.f64 1/6 (*.f64 y 1/2)))
(.f64 -1 (neg.f64 (.f64 y 3)))
(.f64 (.f64 y 1/3) 9)
(.f64 1/3 (/.f64 (.f64 y 18) 2))
(.f64 1/2 (.f64 y 6))
(.f64 (.f64 y 1/2) 6)
(.f64 9 (.f64 y 1/3))
(.f64 (.f64 y 1/12) 36)
(*.f64 3/2 (+.f64 y y))
(.f64 1/12 (.f64 y 36))
(.f64 (.f64 1/6 (*.f64 y 1/2)) 36)
(.f64 (/.f64 (.f64 y 18) 12) 2)
(.f64 1/4 (.f64 y 12))
(.f64 (/.f64 (.f64 y 18) 2) 1/3)
(.f64 (/.f64 (.f64 y 3) 2) 2)
(.f64 1/24 (.f64 y 72))
(pow.f64 (*.f64 y 3) 1)
(neg.f64 (neg.f64 (*.f64 y 3)))
(+.f64 (*.f64 x (/.f64 1/3 y)) 0)
(+.f64 0 (*.f64 x (/.f64 1/3 y)))
(-.f64 (*.f64 x (/.f64 1/3 y)) 0)
(.f64 6 (.f64 (/.f64 x y) 1/18))
(*.f64 x (/.f64 1/3 y))
(.f64 (.f64 x (/.f64 1/3 y)) 1)
(.f64 1 (.f64 x (/.f64 1/3 y)))
(.f64 (+.f64 x x) (/.f64 1 (.f64 y 6)))
(.f64 (+.f64 x x) (.f64 (/.f64 1/3 y) 1/2))
(.f64 2 (/.f64 x (.f64 y 6)))
(.f64 2 (/.f64 (.f64 x (/.f64 1/3 y)) 2))
(.f64 2 (.f64 (/.f64 1 (*.f64 y 6)) x))
(*.f64 (/.f64 (/.f64 x y) 3/2) 1/2)
(.f64 (.f64 x 4) (/.f64 1 (*.f64 y 12)))
(.f64 (.f64 x 1/18) (/.f64 6 y))
(*.f64 (/.f64 1/3 y) x)
(*.f64 (/.f64 1/3 y) (/.f64 1 (/.f64 1 x)))
(.f64 (neg.f64 x) (/.f64 -1 (.f64 y 3)))
(.f64 (.f64 (/.f64 x y) 1/18) 6)
(.f64 -1 (/.f64 x (neg.f64 (.f64 y 3))))
(.f64 (/.f64 x (.f64 y 1/6)) 1/18)
(.f64 1/18 (/.f64 x (.f64 y 1/6)))
(*.f64 (/.f64 1/18 y) (/.f64 x 1/6))
(.f64 (/.f64 6 y) (.f64 x 1/18))
(.f64 (/.f64 1 (.f64 y 6)) (+.f64 x x))
(*.f64 1/2 (/.f64 (/.f64 x y) 3/2))
(.f64 (.f64 (/.f64 1/3 y) 1/2) (+.f64 x x))
(*.f64 (/.f64 1 (/.f64 1 x)) (/.f64 1/3 y))
(.f64 (/.f64 x (neg.f64 (.f64 y 3))) -1)
(*.f64 (/.f64 x 1/6) (/.f64 1/18 y))
(.f64 (/.f64 x (.f64 y 6)) 2)
(.f64 (/.f64 (.f64 x (/.f64 1/3 y)) 2) 2)
(.f64 (/.f64 1 (.f64 y 12)) (*.f64 x 4))
(.f64 (/.f64 -1 (.f64 y 3)) (neg.f64 x))
(.f64 (+.f64 (/.f64 1 (.f64 y 6)) (/.f64 1 (*.f64 y 6))) x)
(pow.f64 (*.f64 x (/.f64 1/3 y)) 1)
(neg.f64 (/.f64 x (neg.f64 (*.f64 y 3))))

Outputs
(*.f64 3 y)
(*.f64 3 y)
(*.f64 3 y)
(*.f64 3 y)
(*.f64 3 y)
(*.f64 3 y)
(*.f64 3 y)
(*.f64 3 y)
(*.f64 3 y)
(*.f64 3 y)
(*.f64 3 y)
(*.f64 3 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 x y))
(+.f64 y (+.f64 y y))
(*.f64 3 y)
(+.f64 (*.f64 y 3) 0)
(*.f64 3 y)
(+.f64 0 (*.f64 y 3))
(*.f64 3 y)
(+.f64 (+.f64 y y) y)
(*.f64 3 y)
(-.f64 (*.f64 y 3) 0)
(*.f64 3 y)
(-.f64 0 (neg.f64 (*.f64 y 3)))
(*.f64 3 y)
(*.f64 y 3)
(*.f64 3 y)
(.f64 18 (.f64 y 1/6))
(*.f64 3 y)
(.f64 (.f64 y 18) 1/6)
(*.f64 3 y)
(.f64 6 (.f64 y 1/2))
(*.f64 3 y)
(.f64 (.f64 y 3) 1)
(*.f64 3 y)
(.f64 1 (.f64 y 3))
(*.f64 3 y)
(.f64 (.f64 y 6) 1/2)
(*.f64 3 y)
(.f64 (.f64 y 36) 1/12)
(*.f64 3 y)
(.f64 (.f64 y 1/6) 18)
(*.f64 3 y)
(.f64 2 (/.f64 (.f64 y 18) 12))
(*.f64 3 y)
(.f64 2 (/.f64 (.f64 y 3) 2))
(*.f64 3 y)
(.f64 2 (+.f64 y (.f64 y 1/2)))
(*.f64 3 y)
(*.f64 (+.f64 y y) 3/2)
(*.f64 3 y)
(.f64 (.f64 y 12) 1/4)
(*.f64 3 y)
(.f64 (.f64 y 72) 1/24)
(*.f64 3 y)
(.f64 1/6 (.f64 y 18))
(*.f64 3 y)
(*.f64 3 y)
(.f64 (neg.f64 (.f64 y 3)) -1)
(*.f64 3 y)
(.f64 36 (.f64 y 1/12))
(*.f64 3 y)
(.f64 36 (.f64 1/6 (*.f64 y 1/2)))
(*.f64 3 y)
(.f64 -1 (neg.f64 (.f64 y 3)))
(*.f64 3 y)
(.f64 (.f64 y 1/3) 9)
(*.f64 3 y)
(.f64 1/3 (/.f64 (.f64 y 18) 2))
(*.f64 3 y)
(.f64 1/2 (.f64 y 6))
(*.f64 3 y)
(.f64 (.f64 y 1/2) 6)
(*.f64 3 y)
(.f64 9 (.f64 y 1/3))
(*.f64 3 y)
(.f64 (.f64 y 1/12) 36)
(*.f64 3 y)
(*.f64 3/2 (+.f64 y y))
(*.f64 3 y)
(.f64 1/12 (.f64 y 36))
(*.f64 3 y)
(.f64 (.f64 1/6 (*.f64 y 1/2)) 36)
(*.f64 3 y)
(.f64 (/.f64 (.f64 y 18) 12) 2)
(*.f64 3 y)
(.f64 1/4 (.f64 y 12))
(*.f64 3 y)
(.f64 (/.f64 (.f64 y 18) 2) 1/3)
(*.f64 3 y)
(.f64 (/.f64 (.f64 y 3) 2) 2)
(*.f64 3 y)
(.f64 1/24 (.f64 y 72))
(*.f64 3 y)
(pow.f64 (*.f64 y 3) 1)
(*.f64 3 y)
(neg.f64 (neg.f64 (*.f64 y 3)))
(*.f64 3 y)
(+.f64 (*.f64 x (/.f64 1/3 y)) 0)
(*.f64 x (/.f64 1/3 y))
(+.f64 0 (*.f64 x (/.f64 1/3 y)))
(*.f64 x (/.f64 1/3 y))
(-.f64 (*.f64 x (/.f64 1/3 y)) 0)
(*.f64 x (/.f64 1/3 y))
(.f64 6 (.f64 (/.f64 x y) 1/18))
(*.f64 1/3 (/.f64 x y))
(*.f64 x (/.f64 1/3 y))
(.f64 (.f64 x (/.f64 1/3 y)) 1)
(*.f64 x (/.f64 1/3 y))
(.f64 1 (.f64 x (/.f64 1/3 y)))
(*.f64 x (/.f64 1/3 y))
(.f64 (+.f64 x x) (/.f64 1 (.f64 y 6)))
(*.f64 x (/.f64 1/3 y))
(.f64 (+.f64 x x) (.f64 (/.f64 1/3 y) 1/2))
(*.f64 x (/.f64 1/3 y))
(.f64 2 (/.f64 x (.f64 y 6)))
(*.f64 x (/.f64 1/3 y))
(.f64 2 (/.f64 (.f64 x (/.f64 1/3 y)) 2))
(*.f64 x (/.f64 1/3 y))
(.f64 2 (.f64 (/.f64 1 (*.f64 y 6)) x))
(*.f64 x (/.f64 1/3 y))
(*.f64 (/.f64 (/.f64 x y) 3/2) 1/2)
(*.f64 x (/.f64 1/3 y))
(.f64 (.f64 x 4) (/.f64 1 (*.f64 y 12)))
(.f64 (.f64 x 4) (/.f64 1/12 y))
(.f64 x (.f64 4 (/.f64 1/12 y)))
(.f64 (.f64 x 1/18) (/.f64 6 y))
(.f64 x (.f64 1/18 (/.f64 6 y)))
(*.f64 (/.f64 1/3 y) x)
(*.f64 x (/.f64 1/3 y))
(*.f64 (/.f64 1/3 y) (/.f64 1 (/.f64 1 x)))
(*.f64 x (/.f64 1/3 y))
(.f64 (neg.f64 x) (/.f64 -1 (.f64 y 3)))
(*.f64 x (/.f64 1/3 y))
(.f64 (.f64 (/.f64 x y) 1/18) 6)
(*.f64 1/3 (/.f64 x y))
(.f64 -1 (/.f64 x (neg.f64 (.f64 y 3))))
(*.f64 x (/.f64 1/3 y))
(.f64 (/.f64 x (.f64 y 1/6)) 1/18)
(.f64 1/18 (/.f64 x (.f64 y 1/6)))
(*.f64 1/18 (/.f64 (/.f64 x y) 1/6))
(.f64 1/18 (/.f64 x (.f64 y 1/6)))
(*.f64 1/18 (/.f64 (/.f64 x y) 1/6))
(*.f64 (/.f64 1/18 y) (/.f64 x 1/6))
(.f64 (/.f64 6 y) (.f64 x 1/18))
(.f64 (.f64 x 1/18) (/.f64 6 y))
(.f64 x (.f64 1/18 (/.f64 6 y)))
(.f64 (/.f64 1 (.f64 y 6)) (+.f64 x x))
(*.f64 x (/.f64 1/3 y))
(*.f64 1/2 (/.f64 (/.f64 x y) 3/2))
(*.f64 x (/.f64 1/3 y))
(.f64 (.f64 (/.f64 1/3 y) 1/2) (+.f64 x x))
(*.f64 x (/.f64 1/3 y))
(*.f64 (/.f64 1 (/.f64 1 x)) (/.f64 1/3 y))
(*.f64 x (/.f64 1/3 y))
(.f64 (/.f64 x (neg.f64 (.f64 y 3))) -1)
(*.f64 x (/.f64 1/3 y))
(*.f64 (/.f64 x 1/6) (/.f64 1/18 y))
(*.f64 (/.f64 1/18 y) (/.f64 x 1/6))
(.f64 (/.f64 x (.f64 y 6)) 2)
(*.f64 x (/.f64 1/3 y))
(.f64 (/.f64 (.f64 x (/.f64 1/3 y)) 2) 2)
(*.f64 x (/.f64 1/3 y))
(.f64 (/.f64 1 (.f64 y 12)) (*.f64 x 4))
(.f64 (.f64 x 4) (/.f64 1 (*.f64 y 12)))
(.f64 (.f64 x 4) (/.f64 1/12 y))
(.f64 x (.f64 4 (/.f64 1/12 y)))
(.f64 (/.f64 -1 (.f64 y 3)) (neg.f64 x))
(*.f64 x (/.f64 1/3 y))
(.f64 (+.f64 (/.f64 1 (.f64 y 6)) (/.f64 1 (*.f64 y 6))) x)
(*.f64 x (/.f64 1/3 y))
(pow.f64 (*.f64 x (/.f64 1/3 y)) 1)
(*.f64 x (/.f64 1/3 y))
(neg.f64 (/.f64 x (neg.f64 (*.f64 y 3))))
(*.f64 x (/.f64 1/3 y))

eval14.0ms (0.4%)

Compiler: Compiled 640 to 446 computations (30.3% saved)

prune13.0ms (0.3%)

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	0	0
Picked	0	1	1
Done	0	6	6
Total	85	7	92

Error

Counts

92 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.2b	(/.f64 (/.f64 x y) 3)
✓	0.3b	(/.f64 (/.f64 x 3) y)
✓	0.3b	(/.f64 x (/.f64 (*.f64 y 18) 6))
✓	0.2b	(/.f64 x (*.f64 y 3))
✓	0.6b	(/.f64 2 (*.f64 6 (/.f64 y x)))
✓	0.6b	(/.f64 1/3 (/.f64 y x))
✓	0.3b	(*.f64 (/.f64 1/3 y) x)

Compiler

Compiled 53 to 39 computations (26.4% saved)

regimes32.0ms (0.8%)

Counts

13 → 1

Calls

Call 1

Inputs
(*.f64 (/.f64 1/3 y) x)
(*.f64 (/.f64 x y) 1/3)
(/.f64 1/3 (/.f64 y x))
(/.f64 x (*.f64 y 3))
(/.f64 (/.f64 x 3) y)
(/.f64 (/.f64 x y) 3)
(.f64 x (.f64 2/3 (/.f64 1/2 y)))
(.f64 (/.f64 1 y) (.f64 x 1/3))
(*.f64 (/.f64 2 (/.f64 y x)) 1/6)
(/.f64 2 (*.f64 6 (/.f64 y x)))
(/.f64 x (/.f64 (*.f64 y 18) 6))
(.f64 2 (.f64 (/.f64 x 6) (/.f64 1 y)))
(/.f64 x (.f64 (.f64 y 9) (/.f64 y (*.f64 y 3))))

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

Calls

4 calls:

8.0ms	y
7.0ms	(/.f64 x (*.f64 y 3))
7.0ms	(*.f64 y 3)
7.0ms	x

Results

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

Compiler

Compiled 105 to 69 computations (34.3% saved)

regimes19.0ms (0.5%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

4 calls:

5.0ms	(*.f64 y 3)
5.0ms	x
4.0ms	y
4.0ms	(/.f64 x (*.f64 y 3))

Results

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

Compiler

Compiled 45 to 30 computations (33.3% saved)

regimes8.0ms (0.2%)

Accuracy

Total -0.6b remaining (-197.2%)

Threshold costs -0.6b (-197.2%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	x
3.0ms	y

Results

Error	Segments	Branch
0.3b	1	`x`
0.3b	1	`y`

Compiler

Compiled 23 to 15 computations (34.8% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	52

Stop Event

1×	done
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 28 to 20 computations (28.6% saved)

soundness0.0ms (0%)

end22.0ms (0.6%)

Compiler: Compiled 22 to 13 computations (40.9% saved)

Details

analyze44.0ms (1.1%)

sample668.0ms (17.4%)

preprocess137.0ms (3.6%)

simplify105.0ms (2.7%)

eval0.0ms (0%)

prune1.0ms (0%)

localize5.0ms (0.1%)

series3.0ms (0.1%)

rewrite68.0ms (1.8%)

simplify115.0ms (3%)

eval10.0ms (0.3%)

prune12.0ms (0.3%)

localize5.0ms (0.1%)

series1.0ms (0%)

rewrite69.0ms (1.8%)

simplify272.0ms (7.1%)

localize6.0ms (0.2%)

series1.0ms (0%)

rewrite81.0ms (2.1%)

simplify86.0ms (2.2%)

localize8.0ms (0.2%)

series1.0ms (0%)

rewrite92.0ms (2.4%)

simplify113.0ms (2.9%)

localize8.0ms (0.2%)

series2.0ms (0%)

rewrite110.0ms (2.9%)

simplify82.0ms (2.1%)

localize7.0ms (0.2%)

series2.0ms (0.1%)

rewrite83.0ms (2.2%)

simplify115.0ms (3%)

eval68.0ms (1.8%)

prune50.0ms (1.3%)

localize5.0ms (0.1%)

series0.0ms (0%)

rewrite79.0ms (2.1%)

simplify124.0ms (3.2%)

localize5.0ms (0.1%)

series0.0ms (0%)

rewrite76.0ms (2%)

simplify71.0ms (1.9%)

localize5.0ms (0.1%)

series0.0ms (0%)

rewrite119.0ms (3.1%)

simplify138.0ms (3.6%)

localize8.0ms (0.2%)

series4.0ms (0.1%)

rewrite77.0ms (2%)

simplify68.0ms (1.8%)

localize14.0ms (0.4%)

series1.0ms (0%)

rewrite76.0ms (2%)

simplify81.0ms (2.1%)

eval85.0ms (2.2%)

prune62.0ms (1.6%)

localize9.0ms (0.2%)

series1.0ms (0%)

rewrite93.0ms (2.4%)

simplify110.0ms (2.9%)

eval14.0ms (0.4%)

prune13.0ms (0.3%)

regimes32.0ms (0.8%)

regimes19.0ms (0.5%)

regimes8.0ms (0.2%)

simplify2.0ms (0.1%)

soundness0.0ms (0%)

end22.0ms (0.6%)

Profiling