Details

analyze408.0ms (7.5%)

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)

sample2.0s (36%)

Results

1.9s	8256×	body	256	valid
77.0ms	402×	body	256	infinite

Bogosity

preprocess122.0ms (2.2%)

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)

simplify96.0ms (1.8%)

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

0.3b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.3b	(/.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
✓	0.3b	(/.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))

rewrite78.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

2010×	`bool.json-1`
2010×	`bool.json-2`
1584×	`bool.json-3`
1004×	`rational.json-simplify-35`
686×	`rational.json-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	74	13
2	248	13
3	693	13
4	2128	13
5	5876	13

Stop Event

1×	node limit

Counts

1 → 67

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 (.f64 x (/.f64 1/3 y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 x (/.f64 1/3 y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 x (.f64 2 (/.f64 1/6 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 y) 1/6))))) (#(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 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 (.f64 2 (/.f64 1/6 y)) 1/2))))) (#(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 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 (/.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 x (/.f64 1/6 y)))))) (#(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 (/.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 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 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 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 (.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 (neg.f64 x) (.f64 y 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 (neg.f64 x) (.f64 y 3)) 1))))) (#(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 (/.f64 1/6 y) (+.f64 x x))))) (#(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 (/.f64 1 y) 1/6) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (neg.f64 x) (.f64 y 3)) -1)))) (#(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 x (/.f64 2 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 1 (.f64 y -3)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (/.f64 1/6 y) (/.f64 1/6 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (neg.f64 x) (.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (.f64 y -3)))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (.f64 x (/.f64 1/3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x and (.f64 x (/.f64 1/3 y)) (.f64 x (/.f64 1/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x or (.f64 x (/.f64 1/3 y)) (.f64 x (/.f64 1/3 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 (*.f64 x (/.f64 1/3 y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1/3 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 2 (/.f64 1/6 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 y) 1/6))))) (#(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 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 (*.f64 2 (/.f64 1/6 y)) 1/2))))) (#(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 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 (/.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 x (/.f64 1/6 y)))))) (#(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 (/.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 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 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 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 (*.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 (neg.f64 x) (*.f64 y 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 (neg.f64 x) (*.f64 y 3)) 1))))) (#(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 (/.f64 1/6 y) (+.f64 x x))))) (#(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 (/.f64 1 y) 1/6) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 x) (*.f64 y 3)) -1)))) (#(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 x (/.f64 2 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 1 (*.f64 y -3)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1/6 y) (/.f64 1/6 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (neg.f64 x) (*.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (*.f64 y -3)))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 x (/.f64 1/3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 x (/.f64 1/3 y)) (*.f64 x (/.f64 1/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 x (/.f64 1/3 y)) (*.f64 x (/.f64 1/3 y)))))))

simplify134.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

1884×	`rational.json-simplify-35`
986×	`rational.json-simplify-2`
876×	`rational.json-simplify-1`
748×	`rational.json-simplify-51`
716×	`rational.json-simplify-53`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	152	1207
1	335	1201
2	724	1201
3	1620	1201
4	3833	1201
5	6069	1201
6	7166	1201

Stop Event

1×	node limit

Counts

91 → 71

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

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

eval12.0ms (0.2%)

Compiler: Compiled 575 to 398 computations (30.8% saved)

prune90.0ms (1.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	66	5	71
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	66	6	72

Error

0.0b

Counts

72 → 6

Alt Table

Click to see full alt table

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

Compiler

Compiled 93 to 71 computations (23.7% 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)

series0.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite75.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1746×	`bool.json-1`
1746×	`bool.json-2`
1700×	`rational.json-1`
1700×	`rational.json-2`
1476×	`bool.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	72	13
2	223	13
3	538	13
4	1383	13
5	4789	13

Stop Event

1×	node limit

Counts

1 → 8

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) 1/3) 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 (.f64 2 (.f64 (/.f64 x y) 4/3)) (.f64 2 (.f64 (/.f64 x y) 4/3))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (.f64 (/.f64 x y) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x and (.f64 (/.f64 x y) 1/3) (.f64 (/.f64 x y) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x or (.f64 (/.f64 x y) 1/3) (*.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) 1/3) 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 (*.f64 2 (*.f64 (/.f64 x y) 4/3)) (*.f64 2 (*.f64 (/.f64 x y) 4/3))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (/.f64 x y) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (/.f64 x y) 1/3) (*.f64 (/.f64 x y) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (/.f64 x y) 1/3) (*.f64 (/.f64 x y) 1/3))))))

simplify421.0ms (7.7%)

Algorithm

1×	egg-herbie

Rules

1852×	`rational.json-simplify-35`
1510×	`rational.json-simplify-59`
1180×	`rational.json-simplify-61`
1000×	`rational.json-simplify-2`
642×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	416
1	60	416
2	133	416
3	333	416
4	1018	416
5	2272	416
6	2950	416
7	3315	416
8	3693	416
9	5086	416
10	5367	416
11	5642	416
12	6068	416

Stop Event

1×	node limit

Counts

32 → 9

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) 1/3) 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 (.f64 2 (.f64 (/.f64 x y) 4/3)) (.f64 2 (.f64 (/.f64 x y) 4/3))) 16)

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) 1/3) 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 (.f64 2 (.f64 (/.f64 x y) 4/3)) (.f64 2 (.f64 (/.f64 x y) 4/3))) 16)
(*.f64 1/3 (/.f64 x y))

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

rewrite63.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1356×	`rational.json-simplify-35`
1086×	`bool.json-1`
1086×	`bool.json-2`
1016×	`rational.json-1`
1016×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	20
1	73	20
2	223	20
3	518	20
4	1171	20
5	3205	20

Stop Event

1×	node limit

Counts

2 → 85

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 (/.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 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 6 (/.f64 y (*.f64 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 1/4 (*.f64 (/.f64 1/3 y) 4))))) (#(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 y (*.f64 y (*.f64 y 9))) 3)))) (#(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 y (*.f64 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 neg.f64 (/.f64 -1/3 y))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (/.f64 1/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x and (/.f64 1/3 y) (/.f64 1/3 y))))) (#(struct:change #<rule egg-rr> (2) ((x or (/.f64 1/3 y) (/.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 x (/.f64 1/6 y)) (*.f64 x (/.f64 1/6 y)))))) (#(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 (*.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 x 1/2)))))) (#(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 x 1/2))))))) (#(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 (-.f64 0 (/.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 (*.f64 x 4) (*.f64 y 12))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 8/3 (+.f64 (/.f64 (*.f64 y 4) x) (/.f64 (*.f64 y 4) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 8/3 (+.f64 (*.f64 2 (/.f64 y (*.f64 x 1/2))) (*.f64 2 (/.f64 y (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2/3 (-.f64 0 (/.f64 y (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 4/3 (/.f64 y x)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (-.f64 0 (*.f64 y (/.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 8 (+.f64 (/.f64 (*.f64 y 12) x) (/.f64 (*.f64 y 12) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 8 (+.f64 (*.f64 2 (*.f64 6 (/.f64 y x))) (*.f64 2 (*.f64 6 (/.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 8) (*.f64 (*.f64 y 4) 6))))) (#(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 (neg.f64 x) (neg.f64 (*.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (-.f64 0 (*.f64 6 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 x 8)) (+.f64 (*.f64 (*.f64 y 4) 6) (*.f64 (*.f64 y 4) 6)))))) (#(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 (/.f64 (+.f64 x x) y) 6)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x 8) (*.f64 y 3)) 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 y)) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x 4)) (-.f64 0 (*.f64 y 12)))))) (#(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 (neg.f64 x)) (*.f64 y 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 x)) (-.f64 0 (neg.f64 (*.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 x (+.f64 y y)) (/.f64 x (+.f64 y y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 (+.f64 x x) y) (/.f64 (+.f64 x x) y)) 12)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (+.f64 x x)) (neg.f64 (+.f64 x x))) (+.f64 (neg.f64 (*.f64 y 6)) (neg.f64 (*.f64 y 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 (*.f64 x 8) (*.f64 y 3)) (/.f64 (*.f64 x 8) (*.f64 y 3))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (/.f64 1/3 y) (*.f64 x 8))) (*.f64 2 (*.f64 (/.f64 1/3 y) (*.f64 x 8)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (/.f64 x y)) (*.f64 2 (/.f64 x y))) 12)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (neg.f64 x)) (*.f64 2 (neg.f64 x))) (+.f64 (*.f64 2 (neg.f64 (*.f64 y 3))) (*.f64 2 (neg.f64 (*.f64 y 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 x 3) (/.f64 x 3)) (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x))) (*.f64 y 6))))) (#(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 (*.f64 x 1/2)) (-.f64 0 (*.f64 y 3/2)))))) (#(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 (neg.f64 x))) (neg.f64 (*.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (/.f64 1/3 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (/.f64 1/3 y) x) (*.f64 (/.f64 1/3 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (/.f64 1/3 y) x) (*.f64 (/.f64 1/3 y) x))))))

simplify126.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

1456×	`rational.json-simplify-2`
1212×	`rational.json-simplify-1`
1130×	`rational.json-simplify-51`
1112×	`rational.json-simplify-35`
670×	`rational.json-simplify-49`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	199	1621
1	530	1609
2	1363	1525
3	4155	1525
4	6827	1525
5	7964	1525

Stop Event

1×	node limit

Counts

109 → 104

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

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

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 x (.f64 (/.f64 2 y) 1/6))
✓	0.4b	(*.f64 (/.f64 2 y) 1/6)

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 2 y) 1/6)
0.0ms	x	@	0	(.f64 x (.f64 (/.f64 2 y) 1/6))
0.0ms	x	@	-inf	(.f64 x (.f64 (/.f64 2 y) 1/6))
0.0ms	x	@	inf	(.f64 x (.f64 (/.f64 2 y) 1/6))
0.0ms	y	@	-inf	(.f64 x (.f64 (/.f64 2 y) 1/6))

rewrite66.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1456×	`rational.json-simplify-35`
1182×	`bool.json-1`
1182×	`bool.json-2`
1132×	`rational.json-1`
1132×	`rational.json-2`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	94	32
2	276	32
3	621	26
4	1358	26
5	3703	26

Stop Event

1×	node limit

Counts

2 → 58

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 2 y) 1/6) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 2 y) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 2 y) 1/12) (*.f64 (/.f64 2 y) 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (/.f64 2 y) 1/6) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 2 y) 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 2 y) 1/3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 2 y) 2/3) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (/.f64 2 y) 2/3)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (/.f64 2 y) 2/3))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (/.f64 2 y) 2/3))) (*.f64 2 (*.f64 2 (*.f64 (/.f64 2 y) 2/3)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (/.f64 2 y) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (/.f64 2 y) 1/6) (*.f64 (/.f64 2 y) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (/.f64 2 y) 1/6) (*.f64 (/.f64 2 y) 1/6))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 x 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 (/.f64 (*.f64 1/6 x) y) (/.f64 (*.f64 1/6 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x 1/3) y) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 y (*.f64 1/6 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (*.f64 2 (/.f64 y (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x 1/3) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (/.f64 (+.f64 y y) (*.f64 1/6 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (+.f64 (*.f64 2 (/.f64 y (*.f64 x 1/3))) (*.f64 2 (/.f64 y (*.f64 x 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/6 x) (*.f64 y 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 x y) 2/3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 8 (*.f64 2 (/.f64 (+.f64 y y) (*.f64 1/6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 8 (/.f64 (*.f64 y 4) (*.f64 1/6 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (-.f64 0 (/.f64 y (*.f64 1/6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (*.f64 x 1/3) y) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 1/3) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 16 (+.f64 (/.f64 (*.f64 y 4) (*.f64 1/6 x)) (/.f64 (*.f64 y 4) (*.f64 1/6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 16 (+.f64 (*.f64 2 (/.f64 (+.f64 y y) (*.f64 1/6 x))) (*.f64 2 (/.f64 (+.f64 y y) (*.f64 1/6 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -4 (-.f64 0 (/.f64 (+.f64 y y) (*.f64 1/6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (-.f64 0 (/.f64 y (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 x 1/3)) (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (/.f64 (*.f64 x 1/3) y) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/6 x) y) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 1/12) (*.f64 y 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 1/6 x)) (neg.f64 (*.f64 y 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 y y) (*.f64 1/6 x)) (*.f64 (/.f64 y (*.f64 1/6 x)) (/.f64 y (*.f64 1/6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 x 1/3))) (*.f64 y 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (/.f64 (*.f64 x 1/3) y) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (neg.f64 (*.f64 1/6 x))) (*.f64 2 (neg.f64 (*.f64 y 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 2 (*.f64 x 1/3)) (*.f64 y 1/2)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/6 x) (+.f64 y y)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x 1/3)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (*.f64 1/6 x))) (*.f64 y 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (*.f64 1/6 x))) (-.f64 0 (neg.f64 (*.f64 y 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 (*.f64 1/6 x) (+.f64 y y)) (/.f64 (*.f64 1/6 x) (+.f64 y y))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 y (*.f64 1/6 x)) (*.f64 2 (/.f64 y (*.f64 x 1/3)))) (*.f64 (/.f64 y (*.f64 1/6 x)) (*.f64 2 (/.f64 y (*.f64 x 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (/.f64 y (*.f64 x 1/3))) (/.f64 y (*.f64 1/6 x))) (*.f64 (*.f64 2 (/.f64 y (*.f64 x 1/3))) (/.f64 y (*.f64 1/6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (/.f64 y (*.f64 x 1/3))) (*.f64 2 (/.f64 y (*.f64 x 1/3)))) (*.f64 (*.f64 2 (/.f64 y (*.f64 x 1/3))) (*.f64 2 (/.f64 y (*.f64 x 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 (*.f64 2 (*.f64 x 1/3)) (*.f64 y 1/2)) (/.f64 (*.f64 2 (*.f64 x 1/3)) (*.f64 y 1/2))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (/.f64 (*.f64 x 1/3) y) 4))) (*.f64 2 (*.f64 2 (*.f64 (/.f64 (*.f64 x 1/3) y) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (neg.f64 (*.f64 1/6 x))) (*.f64 2 (neg.f64 (*.f64 1/6 x)))) (+.f64 (*.f64 2 (neg.f64 (*.f64 y 1/2))) (*.f64 2 (neg.f64 (*.f64 y 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (*.f64 x 1/3)) (neg.f64 (*.f64 x 1/3))) (*.f64 y -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (neg.f64 (*.f64 1/6 x))) (neg.f64 (neg.f64 (*.f64 1/6 x)))) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (*.f64 x 1/3))) (neg.f64 (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x 1/12)) (-.f64 0 (*.f64 y 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (*.f64 x 1/3))) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (neg.f64 (*.f64 1/6 x)))) (neg.f64 (*.f64 y 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (/.f64 (*.f64 x 1/3) y)))))) (#(struct:change #<rule egg-rr> (2) ((x and (/.f64 (*.f64 x 1/3) y) (/.f64 (*.f64 x 1/3) y))))) (#(struct:change #<rule egg-rr> (2) ((x or (/.f64 (*.f64 x 1/3) y) (/.f64 (*.f64 x 1/3) y))))))

simplify70.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1432×	`rational.json-simplify-51`
1138×	`rational.json-simplify-44`
1044×	`rational.json-simplify-49`
1026×	`rational.json-simplify-47`
1000×	`rational.json-simplify-35`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	146	1192
1	443	1192
2	1267	1186
3	5814	1186

Stop Event

1×	node limit

Counts

94 → 67

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

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

rewrite70.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1498×	`bool.json-1`
1498×	`bool.json-2`
1444×	`rational.json-1`
1444×	`rational.json-2`
1444×	`rational.json-4`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	26
1	101	20
2	308	20
3	661	20
4	1493	20
5	4580	20

Stop Event

1×	node limit

Counts

2 → 66

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 (*.f64 x 1/3) 0)))) (#(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 2 (*.f64 x 4/3)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 x 4/3)) (*.f64 2 (*.f64 x 4/3))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 x 1/3) (*.f64 x 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 x 1/3) (*.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 (/.f64 x y) 1/6) (*.f64 (/.f64 x y) 1/6))))) (#(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 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 1 (/.f64 y (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 y (*.f64 x 2/3)) 2))))) (#(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 6 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 (+.f64 y y) (neg.f64 (*.f64 x -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (*.f64 2 (*.f64 y (/.f64 6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (*.f64 (*.f64 y (/.f64 6 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (*.f64 (*.f64 2 (*.f64 y (/.f64 6 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (/.f64 (*.f64 y 4) (neg.f64 (*.f64 x -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 2 y) (/.f64 6 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 2/3) (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (/.f64 2/3 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 y (*.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (-.f64 0 (/.f64 y (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 8 (+.f64 (*.f64 2 (*.f64 y (/.f64 6 x))) (*.f64 2 (*.f64 y (/.f64 6 x)))))))) (#(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 8 (/.f64 (*.f64 y 8) (neg.f64 (*.f64 x -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 x y) 4/3) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (-.f64 0 (*.f64 y (/.f64 6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 4/3) (*.f64 y 4))))) (#(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 (/.f64 y (*.f64 x 1/3)) (*.f64 (/.f64 y (*.f64 x 1/3)) (/.f64 y (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (/.f64 6 x)) (*.f64 (*.f64 (/.f64 y (*.f64 x 1/3)) (/.f64 y (*.f64 x 1/3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 x 4/3)) (*.f64 y 8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 x 4/3)) (*.f64 8 y))))) (#(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 x -1/3)) (*.f64 y -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 x y) 1/6) 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 (neg.f64 (*.f64 x 2/3)) (*.f64 y -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x 2/3)) (neg.f64 (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x -1/3)) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (*.f64 x 2/3)) (neg.f64 (*.f64 x 2/3))) (*.f64 2 (neg.f64 (+.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (/.f64 x y) 4/3)) (*.f64 2 (*.f64 (/.f64 x y) 4/3))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 x -1/3)) (*.f64 2 (*.f64 x -1/3))) (*.f64 2 (*.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (*.f64 x -1/3)) (neg.f64 (*.f64 x -1/3))) (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x 1/3) 1/2) (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 (*.f64 x -1/3)) 1/2) (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 (*.f64 x -1/3)) 2) (*.f64 y 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 2 (*.f64 x 4/3)) y) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x 1/3) (neg.f64 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x 1/3) (*.f64 y 4)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x -1/3) y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 (*.f64 x -1/3)) (*.f64 y 4)) 1/4)))) (#(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 (neg.f64 (*.f64 x 2/3))) (-.f64 0 (neg.f64 (+.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (*.f64 x -1/3))) (-.f64 0 (*.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (*.f64 x -1/3))) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 1/3 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 1/3 (/.f64 x y)) (*.f64 1/3 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 1/3 (/.f64 x y)) (*.f64 1/3 (/.f64 x y)))))))

simplify77.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1314×	`rational.json-simplify-61`
1314×	`rational.json-simplify-35`
1096×	`rational.json-simplify-2`
1054×	`rational.json-simplify-51`
986×	`rational.json-simplify-46`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	158	1248
1	508	1248
2	1704	1248
3	4924	1248

Stop Event

1×	node limit

Counts

102 → 73

Calls

Call 1

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

localize11.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (/.f64 (/.f64 2 y) 3) (.f64 1/2 x))
✓	0.3b	(/.f64 (/.f64 2 y) 3)

Compiler

Compiled 27 to 20 computations (25.9% saved)

series1.0ms (0%)

Counts

2 → 36

Calls

9 calls:

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

rewrite81.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1854×	`bool.json-1`
1854×	`bool.json-2`
1772×	`rational.json-1`
1480×	`bool.json-3`
718×	`rational.json-simplify-35`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	11	26
1	121	26
2	376	26
3	907	20
4	2154	20
5	5761	20

Stop Event

1×	node limit

Counts

2 → 77

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 2/3 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 2/3 y) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/3 y) (/.f64 1/3 y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 2/3 y) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 1/3 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 y) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 4/3 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 2/3 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 y) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4/3 y) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 4 y)) 1/12)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (/.f64 2 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/6 (/.f64 4 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/12 (*.f64 2 (/.f64 4 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2/3 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 y) 2)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (/.f64 2/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x and (/.f64 2/3 y) (/.f64 2/3 y))))) (#(struct:change #<rule egg-rr> (2) ((x or (/.f64 2/3 y) (/.f64 2/3 y))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 x 3) y) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (/.f64 x 3) y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 x 3) y) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 (*.f64 y 6) 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 2 (*.f64 (/.f64 y (*.f64 x 1/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (*.f64 (/.f64 (*.f64 y 6) x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 y (*.f64 2/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (*.f64 y 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 x) (*.f64 y 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 x 3) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 y (*.f64 x 1/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 y (*.f64 2/3 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (+.f64 (/.f64 (*.f64 y 6) x) (/.f64 (*.f64 y 6) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (/.f64 (*.f64 y 12) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (/.f64 (*.f64 y 6) (*.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (/.f64 (/.f64 (+.f64 y y) 1/3) (*.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (/.f64 2/3 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2/3 (/.f64 y (*.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2/3 (*.f64 (/.f64 y (*.f64 1/2 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2/3 (*.f64 (/.f64 y x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x x) (*.f64 y 6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x x) (*.f64 4 (*.f64 y 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x x) (*.f64 (*.f64 4 (*.f64 y 3/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4/3 (/.f64 y (/.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4/3 (+.f64 (/.f64 y (*.f64 1/2 x)) (/.f64 y (*.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4/3 (*.f64 (/.f64 y (*.f64 1/2 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4/3 (*.f64 (/.f64 y (/.f64 x 4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/3 (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (/.f64 4/3 y)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 4) (+.f64 (*.f64 4 (*.f64 y 3/2)) (*.f64 4 (*.f64 y 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 4) (*.f64 8 (*.f64 y 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 4) (*.f64 (*.f64 4 (*.f64 y 3/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 4) (*.f64 4 (*.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 4) (*.f64 2 (*.f64 4 (*.f64 y 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 8/3 (+.f64 (/.f64 y (/.f64 x 4)) (/.f64 y (/.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 8/3 (/.f64 (*.f64 y 4) (*.f64 1/2 x)))))) (#(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 2 (*.f64 x 4)) (*.f64 8 (*.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 x (/.f64 4/3 y))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x y) 3)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 8/3 (/.f64 y x)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/2 x) y) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x 4) (/.f64 y 4/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (*.f64 y 6)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 1/2 x)) (neg.f64 (*.f64 y 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 1/2 x)) (*.f64 (neg.f64 (*.f64 y 3/2)) 1))))) (#(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 (neg.f64 (*.f64 y 3/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 x (/.f64 4/3 y))) (*.f64 2 (*.f64 x (/.f64 4/3 y)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 (*.f64 1/2 x) y) (/.f64 (*.f64 1/2 x) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (*.f64 1/2 x)) (neg.f64 (*.f64 1/2 x))) (+.f64 (neg.f64 (*.f64 y 3/2)) (neg.f64 (*.f64 y 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 x) 2) (neg.f64 (*.f64 y 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/2 x) 3/2) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x 3) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x 6) (*.f64 y 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/2 x) 3) (*.f64 y 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/2 x) 1/2) (*.f64 y 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/2 x) (+.f64 y y)) 3/4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (*.f64 1/2 x))) (*.f64 y 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (/.f64 (/.f64 x 3) y)))))) (#(struct:change #<rule egg-rr> (2) ((x and (/.f64 (/.f64 x 3) y) (/.f64 (/.f64 x 3) y))))) (#(struct:change #<rule egg-rr> (2) ((x or (/.f64 (/.f64 x 3) y) (/.f64 (/.f64 x 3) y))))))

simplify128.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

1584×	`rational.json-simplify-39`
1418×	`rational.json-simplify-53`
1268×	`rational.json-simplify-35`
1216×	`rational.json-simplify-49`
888×	`rational.json-simplify-1`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	179	1385
1	549	1385
2	1559	1385
3	4100	1385
4	5318	1367
5	7377	1367

Stop Event

1×	node limit

Counts

113 → 79

Calls

Call 1

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

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

eval316.0ms (5.8%)

Compiler: Compiled 3330 to 2314 computations (30.5% saved)

prune43.0ms (0.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	331	1	332
Fresh	0	0	0
Picked	1	0	1
Done	2	3	5
Total	334	4	338

Error

Counts

338 → 4

Alt Table

Click to see full alt table

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

Compiler

Compiled 28 to 20 computations (28.6% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(/.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)

rewrite98.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1788×	`bool.json-1`
1788×	`bool.json-2`
1716×	`rational.json-1`
1314×	`bool.json-3`
1212×	`rational.json-simplify-35`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	79	13
2	289	13
3	821	13
4	2499	13
5	6191	13

Stop Event

1×	node limit

Counts

1 → 60

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 (*.f64 x (/.f64 1/3 y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1/3 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 (*.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 y) 1/3)))) (#(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 (/.f64 1/3 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 1/6 y) 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 (/.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 (/.f64 x y) 2) 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 (neg.f64 x) (*.f64 3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2/3 (/.f64 x (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 y) (/.f64 x 6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 y) (*.f64 x 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (/.f64 x y) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/6 (*.f64 (/.f64 x y) 2))))) (#(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 y) 1/2) (*.f64 x 2/3))))) (#(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 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 (neg.f64 x) (*.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 y y)) 2)))) (#(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 6) (/.f64 2 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 x (/.f64 1/3 y)) 2) 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 *.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 y)) (*.f64 x 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1/6 y) (/.f64 1/6 y)) x)))) (#(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 (neg.f64 x) (*.f64 3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 x (/.f64 1/3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 x (/.f64 1/3 y)) (*.f64 x (/.f64 1/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 x (/.f64 1/3 y)) (*.f64 x (/.f64 1/3 y)))))))

simplify765.0ms (14%)

Algorithm

1×	egg-herbie

Rules

1066×	`rational.json-simplify-19`
994×	`rational.json-simplify-43`
864×	`rational.json-simplify-1`
692×	`rational.json-simplify-50`
666×	`rational.json-simplify-35`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	122	1104
1	247	1104
2	546	1104
3	1174	1104
4	3863	1104
5	5012	1104
6	5804	1104
7	7403	1104

Stop Event

1×	node limit

Counts

84 → 62

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

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

eval10.0ms (0.2%)

Compiler: Compiled 475 to 311 computations (34.5% saved)

prune8.0ms (0.1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	62	0	62
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	62	4	66

Error

Counts

66 → 4

Alt Table

Click to see full alt table

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

Compiler

Compiled 28 to 20 computations (28.6% saved)

regimes23.0ms (0.4%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

4 calls:

6.0ms	(*.f64 y 3)
5.0ms	y
5.0ms	x
5.0ms	(/.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 63 to 44 computations (30.2% saved)

regimes16.0ms (0.3%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

4 calls:

4.0ms	(*.f64 y 3)
4.0ms	x
3.0ms	y
3.0ms	(/.f64 x (*.f64 y 3))

Results

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

Compiler

Compiled 35 to 24 computations (31.4% saved)

regimes7.0ms (0.1%)

Accuracy

Total -0.1b remaining (-52.1%)

Threshold costs -0.1b (-52.1%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	y
3.0ms	x

Results

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

Compiler

Compiled 18 to 12 computations (33.3% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	52

Stop Event

1×	done
1×	saturated

Calls

Call 1

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

Outputs
(/.f64 (/.f64 x 3) y)
(/.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 (0.4%)

Compiler: Compiled 22 to 14 computations (36.4% saved)

Details

analyze408.0ms (7.5%)

sample2.0s (36%)

preprocess122.0ms (2.2%)

simplify96.0ms (1.8%)

eval0.0ms (0%)

prune1.0ms (0%)

localize5.0ms (0.1%)

series3.0ms (0.1%)

rewrite78.0ms (1.4%)

simplify134.0ms (2.5%)

eval12.0ms (0.2%)

prune90.0ms (1.7%)

localize5.0ms (0.1%)

series0.0ms (0%)

rewrite75.0ms (1.4%)

simplify421.0ms (7.7%)

localize6.0ms (0.1%)

series1.0ms (0%)

rewrite63.0ms (1.2%)

simplify126.0ms (2.3%)

localize9.0ms (0.2%)

series1.0ms (0%)

rewrite66.0ms (1.2%)

simplify70.0ms (1.3%)

localize8.0ms (0.2%)

series2.0ms (0%)

rewrite70.0ms (1.3%)

simplify77.0ms (1.4%)

localize11.0ms (0.2%)

series1.0ms (0%)

rewrite81.0ms (1.5%)

simplify128.0ms (2.4%)

eval316.0ms (5.8%)

prune43.0ms (0.8%)

localize5.0ms (0.1%)

series0.0ms (0%)

rewrite98.0ms (1.8%)

simplify765.0ms (14%)

eval10.0ms (0.2%)

prune8.0ms (0.1%)

regimes23.0ms (0.4%)

regimes16.0ms (0.3%)

regimes7.0ms (0.1%)

simplify3.0ms (0.1%)

soundness0.0ms (0%)

end22.0ms (0.4%)

Profiling