Details

analyze51.0ms (1.4%)

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
37.5%	37.5%	62.4%	0.1%	0%	0%	0%	6
56.3%	56.2%	43.7%	0.1%	0%	0%	0%	7
65.6%	65.6%	34.3%	0.1%	0%	0%	0%	8
76.6%	76.5%	23.4%	0.1%	0%	0%	0%	9
82%	82%	18%	0.1%	0%	0%	0%	10
87.9%	87.8%	12.1%	0.1%	0%	0%	0%	11
90.8%	90.7%	9.2%	0.1%	0%	0%	0%	12

Compiler

Compiled 10 to 8 computations (20% saved)

sample1.9s (51.2%)

Results

1.8s	7722×	body	256	valid
42.0ms	175×	body	2048	valid
39.0ms	215×	body	1024	valid
20.0ms	144×	body	512	valid

Bogosity

preprocess10.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

4×	`rational.json-simplify-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	26
1	14	26
0	2	2

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs
(-.f64 x (*.f64 (/.f64 3 8) y))
(-.f64 y (*.f64 (/.f64 3 8) x))

Outputs
(-.f64 x (*.f64 (/.f64 3 8) y))
(-.f64 x (*.f64 3/8 y))
(-.f64 y (*.f64 (/.f64 3 8) x))
(-.f64 y (*.f64 x 3/8))

Compiler

Compiled 11 to 9 computations (18.2% saved)

simplify11.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

2×	`rational.json-simplify-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	13
1	11	13

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

Inputs
(-.f64 x (*.f64 (/.f64 3 8) y))

Outputs
(-.f64 x (*.f64 (/.f64 3 8) y))
(-.f64 x (*.f64 3/8 y))

eval0.0ms (0%)

Compiler: Compiled 14 to 10 computations (28.6% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.1b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.1b	(-.f64 x (*.f64 3/8 y))

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 x (*.f64 3/8 y))

Compiler

Compiled 13 to 8 computations (38.5% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	y	@	inf	(-.f64 x (*.f64 3/8 y))
0.0ms	x	@	inf	(-.f64 x (*.f64 3/8 y))
0.0ms	x	@	0	(-.f64 x (*.f64 3/8 y))
0.0ms	y	@	0	(-.f64 x (*.f64 3/8 y))
0.0ms	x	@	-inf	(-.f64 x (*.f64 3/8 y))

rewrite129.0ms (3.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1790×	`rational.json-simplify-35`
1624×	`rational.json-1`
1136×	`exponential.json-3`
1136×	`rational.json-2`
1136×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	45	13
2	100	13
3	212	13
4	392	13
5	881	13
6	2345	13
7	4257	13
8	5637	13
9	7786	13

Stop Event

1×	node limit

Counts

1 → 53

Calls

Call 1

Inputs
(-.f64 x (*.f64 3/8 y))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (.f64 y -3/8))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (.f64 y -3/8)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 x (.f64 y -3/8)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 x (+.f64 (.f64 y -3/8) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 y -3/8) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 x (+.f64 (.f64 3/8 y) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (+.f64 (.f64 3/8 y) -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x 1/2) (-.f64 (.f64 x 1/2) (.f64 3/8 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 x 1/2) (.f64 y 3/16)) (-.f64 (.f64 x 1/2) (.f64 y 3/16)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (.f64 y -3/8)) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (-.f64 2 (-.f64 (.f64 3/8 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (.f64 y -3/8) -1) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (+.f64 (.f64 y -3/8) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x 1) (+.f64 (.f64 y -3/8) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x -1) (+.f64 1 (.f64 y -3/8)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 2 (-.f64 (.f64 3/8 y) x)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (-.f64 (.f64 x 1/2) (.f64 y 3/16)) -1) (+.f64 1 (-.f64 (.f64 x 1/2) (.f64 y 3/16))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 x 1/2) (.f64 3/8 y)) (.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 x (.f64 y -3/8)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 x (.f64 y -3/8)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (-.f64 (.f64 x 1/2) (.f64 y 3/16)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 x (+.f64 x (.f64 y -3/4))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (.f64 3/8 y) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (.f64 (-.f64 (.f64 3/8 y) x) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 (.f64 3/8 y) x) -4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (-.f64 (.f64 3/8 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 y 3/4) (.f64 x -2)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (.f64 x 8) (.f64 y 3)) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (+.f64 x (+.f64 x (.f64 y -3/4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (.f64 x 1/2) (.f64 y 3/16)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -2 (.f64 (-.f64 (.f64 3/8 y) x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 (.f64 3/8 y) x) 1/2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (-.f64 (.f64 3/8 y) x) -4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 (.f64 3/8 y) x) -1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/8 (-.f64 (.f64 x 8) (.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1/2 (+.f64 (.f64 y 3/4) (.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (.f64 y -3/8)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (+.f64 x (.f64 y -3/4))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 3/8 y) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (.f64 3/8 y) x) -4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 y 3/4) (.f64 x -2)) -2)))) (#(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 (.f64 y 3/2) (.f64 x 4)) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (-.f64 (.f64 x 8) (.f64 y 3))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 y 3) (.f64 x 8)) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (-.f64 (.f64 x 8) (.f64 y 3)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (-.f64 (.f64 y 3) (.f64 x 8))) -16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (-.f64 (.f64 x 8) (.f64 y 3))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (-.f64 (.f64 y 3) (.f64 x 8)))) -32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (-.f64 (.f64 x 8) (.f64 y 3)))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (-.f64 (.f64 x 8) (.f64 y 3)))))) (.f64 2 (.f64 2 (.f64 2 (.f64 2 (-.f64 (.f64 x 8) (.f64 y 3))))))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (.f64 y -3/8)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (.f64 3/8 y) x))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 y -3/8))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (*.f64 y -3/8)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 x (*.f64 y -3/8)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 x (+.f64 (*.f64 y -3/8) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y -3/8) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 x (+.f64 (*.f64 3/8 y) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (+.f64 (*.f64 3/8 y) -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 1/2) (-.f64 (*.f64 x 1/2) (*.f64 3/8 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 x 1/2) (*.f64 y 3/16)) (-.f64 (*.f64 x 1/2) (*.f64 y 3/16)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (*.f64 y -3/8)) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (-.f64 2 (-.f64 (*.f64 3/8 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 y -3/8) -1) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (+.f64 (*.f64 y -3/8) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x 1) (+.f64 (*.f64 y -3/8) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x -1) (+.f64 1 (*.f64 y -3/8)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 2 (-.f64 (*.f64 3/8 y) x)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (-.f64 (*.f64 x 1/2) (*.f64 y 3/16)) -1) (+.f64 1 (-.f64 (*.f64 x 1/2) (*.f64 y 3/16))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 x 1/2) (*.f64 3/8 y)) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (*.f64 y -3/8)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x (*.f64 y -3/8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (-.f64 (*.f64 x 1/2) (*.f64 y 3/16)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (+.f64 x (*.f64 y -3/4))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 3/8 y) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (-.f64 (*.f64 3/8 y) x) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (*.f64 3/8 y) x) -4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (-.f64 (*.f64 3/8 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 y 3/4) (*.f64 x -2)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x 8) (*.f64 y 3)) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 x (+.f64 x (*.f64 y -3/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x 1/2) (*.f64 y 3/16)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (*.f64 (-.f64 (*.f64 3/8 y) x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (*.f64 3/8 y) x) 1/2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (-.f64 (*.f64 3/8 y) x) -4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (*.f64 3/8 y) x) -1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (-.f64 (*.f64 x 8) (*.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (+.f64 (*.f64 y 3/4) (*.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (*.f64 y -3/8)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (+.f64 x (*.f64 y -3/4))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 3/8 y) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 3/8 y) x) -4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 y 3/4) (*.f64 x -2)) -2)))) (#(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 (*.f64 y 3/2) (*.f64 x 4)) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (-.f64 (*.f64 x 8) (*.f64 y 3))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 y 3) (*.f64 x 8)) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (-.f64 (*.f64 x 8) (*.f64 y 3)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (-.f64 (*.f64 y 3) (*.f64 x 8))) -16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (-.f64 (*.f64 x 8) (*.f64 y 3))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (-.f64 (*.f64 y 3) (*.f64 x 8)))) -32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (-.f64 (*.f64 x 8) (*.f64 y 3)))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (-.f64 (*.f64 x 8) (*.f64 y 3)))))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (-.f64 (*.f64 x 8) (*.f64 y 3))))))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (*.f64 y -3/8)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (*.f64 3/8 y) x))))))

simplify242.0ms (6.5%)

Algorithm

1×	egg-herbie

Rules

1888×	`rational.json-simplify-35`
1770×	`rational.json-simplify-1`
1766×	`rational.json-simplify-45`
1476×	`rational.json-simplify-2`
934×	`rational.json-simplify-41`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	128	1427
1	251	1427
2	400	1247
3	726	1247
4	1776	1247
5	2907	1247
6	3852	1247
7	4438	1247
8	4719	1247
9	4988	1247
10	5231	1247
11	5798	1247
12	6326	1247
13	7490	1247
14	7670	1247
15	7899	1247

Stop Event

1×	node limit

Counts

77 → 62

Calls

Call 1

Inputs
(*.f64 -3/8 y)
(+.f64 (*.f64 -3/8 y) x)
(+.f64 (*.f64 -3/8 y) x)
(+.f64 (*.f64 -3/8 y) x)
x
(+.f64 (*.f64 -3/8 y) x)
(+.f64 (*.f64 -3/8 y) x)
(+.f64 (*.f64 -3/8 y) x)
x
(+.f64 (*.f64 -3/8 y) x)
(+.f64 (*.f64 -3/8 y) x)
(+.f64 (*.f64 -3/8 y) x)
x
(+.f64 (*.f64 -3/8 y) x)
(+.f64 (*.f64 -3/8 y) x)
(+.f64 (*.f64 -3/8 y) x)
(*.f64 -3/8 y)
(+.f64 (*.f64 -3/8 y) x)
(+.f64 (*.f64 -3/8 y) x)
(+.f64 (*.f64 -3/8 y) x)
(*.f64 -3/8 y)
(+.f64 (*.f64 -3/8 y) x)
(+.f64 (*.f64 -3/8 y) x)
(+.f64 (*.f64 -3/8 y) x)
(+.f64 x (*.f64 y -3/8))
(+.f64 (+.f64 x (*.f64 y -3/8)) 0)
(+.f64 0 (+.f64 x (*.f64 y -3/8)))
(+.f64 1 (+.f64 x (+.f64 (*.f64 y -3/8) -1)))
(+.f64 (*.f64 y -3/8) x)
(+.f64 -1 (-.f64 x (+.f64 (*.f64 3/8 y) -1)))
(+.f64 (-.f64 x (+.f64 (*.f64 3/8 y) -1)) -1)
(+.f64 (.f64 x 1/2) (-.f64 (.f64 x 1/2) (*.f64 3/8 y)))
(+.f64 (-.f64 (.f64 x 1/2) (.f64 y 3/16)) (-.f64 (.f64 x 1/2) (.f64 y 3/16)))
(+.f64 (+.f64 1 (*.f64 y -3/8)) (+.f64 x -1))
(+.f64 -2 (-.f64 2 (-.f64 (*.f64 3/8 y) x)))
(+.f64 (+.f64 (*.f64 y -3/8) -1) (+.f64 x 1))
(+.f64 (+.f64 x (+.f64 (*.f64 y -3/8) -1)) 1)
(+.f64 (+.f64 x 1) (+.f64 (*.f64 y -3/8) -1))
(+.f64 (+.f64 x -1) (+.f64 1 (*.f64 y -3/8)))
(+.f64 (-.f64 2 (-.f64 (*.f64 3/8 y) x)) -2)
(+.f64 (+.f64 (-.f64 (.f64 x 1/2) (.f64 y 3/16)) -1) (+.f64 1 (-.f64 (.f64 x 1/2) (.f64 y 3/16))))
(+.f64 (-.f64 (.f64 x 1/2) (.f64 3/8 y)) (*.f64 x 1/2))
(.f64 (+.f64 x (.f64 y -3/8)) 1)
(.f64 1 (+.f64 x (.f64 y -3/8)))
(.f64 2 (-.f64 (.f64 x 1/2) (*.f64 y 3/16)))
(.f64 (+.f64 x (+.f64 x (.f64 y -3/4))) 1/2)
(.f64 (-.f64 (.f64 3/8 y) x) -1)
(.f64 4 (.f64 (-.f64 (*.f64 3/8 y) x) -1/4))
(.f64 (.f64 (-.f64 (*.f64 3/8 y) x) -4) 1/4)
(.f64 -1 (-.f64 (.f64 3/8 y) x))
(.f64 (+.f64 (.f64 y 3/4) (*.f64 x -2)) -1/2)
(.f64 (-.f64 (.f64 x 8) (*.f64 y 3)) 1/8)
(.f64 1/2 (+.f64 x (+.f64 x (.f64 y -3/4))))
(.f64 (-.f64 (.f64 x 1/2) (*.f64 y 3/16)) 2)
(.f64 -2 (.f64 (-.f64 (*.f64 3/8 y) x) 1/2))
(.f64 (.f64 (-.f64 (*.f64 3/8 y) x) 1/2) -2)
(.f64 1/4 (.f64 (-.f64 (*.f64 3/8 y) x) -4))
(.f64 (.f64 (-.f64 (*.f64 3/8 y) x) -1/4) 4)
(.f64 1/8 (-.f64 (.f64 x 8) (*.f64 y 3)))
(.f64 -1/2 (+.f64 (.f64 y 3/4) (*.f64 x -2)))
(/.f64 (+.f64 x (*.f64 y -3/8)) 1)
(/.f64 (+.f64 x (+.f64 x (*.f64 y -3/4))) 2)
(/.f64 (-.f64 (*.f64 3/8 y) x) -1)
(/.f64 (.f64 (-.f64 (.f64 3/8 y) x) -4) 4)
(/.f64 (+.f64 (.f64 y 3/4) (.f64 x -2)) -2)
(/.f64 (-.f64 (.f64 x 8) (.f64 y 3)) 8)
(/.f64 (-.f64 (.f64 y 3/2) (.f64 x 4)) -4)
(/.f64 (.f64 2 (-.f64 (.f64 x 8) (*.f64 y 3))) 16)
(/.f64 (-.f64 (.f64 y 3) (.f64 x 8)) -8)
(/.f64 (.f64 2 (.f64 2 (-.f64 (.f64 x 8) (.f64 y 3)))) 32)
(/.f64 (.f64 2 (-.f64 (.f64 y 3) (*.f64 x 8))) -16)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (-.f64 (.f64 x 8) (*.f64 y 3))))) 64)
(/.f64 (.f64 2 (.f64 2 (-.f64 (.f64 y 3) (.f64 x 8)))) -32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (-.f64 (.f64 x 8) (.f64 y 3)))))) 128)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (-.f64 (.f64 x 8) (.f64 y 3)))))) (.f64 2 (.f64 2 (.f64 2 (.f64 2 (-.f64 (.f64 x 8) (.f64 y 3))))))) 256)
(pow.f64 (+.f64 x (*.f64 y -3/8)) 1)
(neg.f64 (-.f64 (*.f64 3/8 y) x))

Outputs
(*.f64 -3/8 y)
(+.f64 (*.f64 -3/8 y) x)
(+.f64 x (*.f64 -3/8 y))
(+.f64 (*.f64 -3/8 y) x)
(+.f64 x (*.f64 -3/8 y))
(+.f64 (*.f64 -3/8 y) x)
(+.f64 x (*.f64 -3/8 y))
x
(+.f64 (*.f64 -3/8 y) x)
(+.f64 x (*.f64 -3/8 y))
(+.f64 (*.f64 -3/8 y) x)
(+.f64 x (*.f64 -3/8 y))
(+.f64 (*.f64 -3/8 y) x)
(+.f64 x (*.f64 -3/8 y))
x
(+.f64 (*.f64 -3/8 y) x)
(+.f64 x (*.f64 -3/8 y))
(+.f64 (*.f64 -3/8 y) x)
(+.f64 x (*.f64 -3/8 y))
(+.f64 (*.f64 -3/8 y) x)
(+.f64 x (*.f64 -3/8 y))
x
(+.f64 (*.f64 -3/8 y) x)
(+.f64 x (*.f64 -3/8 y))
(+.f64 (*.f64 -3/8 y) x)
(+.f64 x (*.f64 -3/8 y))
(+.f64 (*.f64 -3/8 y) x)
(+.f64 x (*.f64 -3/8 y))
(*.f64 -3/8 y)
(+.f64 (*.f64 -3/8 y) x)
(+.f64 x (*.f64 -3/8 y))
(+.f64 (*.f64 -3/8 y) x)
(+.f64 x (*.f64 -3/8 y))
(+.f64 (*.f64 -3/8 y) x)
(+.f64 x (*.f64 -3/8 y))
(*.f64 -3/8 y)
(+.f64 (*.f64 -3/8 y) x)
(+.f64 x (*.f64 -3/8 y))
(+.f64 (*.f64 -3/8 y) x)
(+.f64 x (*.f64 -3/8 y))
(+.f64 (*.f64 -3/8 y) x)
(+.f64 x (*.f64 -3/8 y))
(+.f64 x (*.f64 y -3/8))
(+.f64 x (*.f64 -3/8 y))
(+.f64 (+.f64 x (*.f64 y -3/8)) 0)
(+.f64 x (*.f64 -3/8 y))
(+.f64 0 (+.f64 x (*.f64 y -3/8)))
(+.f64 x (*.f64 -3/8 y))
(+.f64 1 (+.f64 x (+.f64 (*.f64 y -3/8) -1)))
(+.f64 x (*.f64 -3/8 y))
(+.f64 (*.f64 y -3/8) x)
(+.f64 x (*.f64 -3/8 y))
(+.f64 -1 (-.f64 x (+.f64 (*.f64 3/8 y) -1)))
(+.f64 -1 (-.f64 x (+.f64 -1 (*.f64 y 3/8))))
(-.f64 (+.f64 x -1) (+.f64 -1 (*.f64 y 3/8)))
(-.f64 x (*.f64 y 3/8))
(+.f64 (-.f64 x (+.f64 (*.f64 3/8 y) -1)) -1)
(+.f64 -1 (-.f64 x (+.f64 -1 (*.f64 y 3/8))))
(-.f64 (+.f64 x -1) (+.f64 -1 (*.f64 y 3/8)))
(-.f64 x (*.f64 y 3/8))
(+.f64 (.f64 x 1/2) (-.f64 (.f64 x 1/2) (*.f64 3/8 y)))
(+.f64 (.f64 x 1/2) (-.f64 (.f64 x 1/2) (*.f64 y 3/8)))
(+.f64 (-.f64 (.f64 x 1/2) (.f64 y 3/16)) (-.f64 (.f64 x 1/2) (.f64 y 3/16)))
(+.f64 (+.f64 1 (*.f64 y -3/8)) (+.f64 x -1))
(+.f64 x (*.f64 -3/8 y))
(+.f64 -2 (-.f64 2 (-.f64 (*.f64 3/8 y) x)))
(+.f64 -1 (-.f64 x (+.f64 -1 (*.f64 y 3/8))))
(-.f64 (+.f64 x -1) (+.f64 -1 (*.f64 y 3/8)))
(-.f64 x (*.f64 y 3/8))
(+.f64 (+.f64 (*.f64 y -3/8) -1) (+.f64 x 1))
(+.f64 x (*.f64 -3/8 y))
(+.f64 (+.f64 x (+.f64 (*.f64 y -3/8) -1)) 1)
(+.f64 x (*.f64 -3/8 y))
(+.f64 (+.f64 x 1) (+.f64 (*.f64 y -3/8) -1))
(+.f64 x (*.f64 -3/8 y))
(+.f64 (+.f64 x -1) (+.f64 1 (*.f64 y -3/8)))
(+.f64 x (*.f64 -3/8 y))
(+.f64 (-.f64 2 (-.f64 (*.f64 3/8 y) x)) -2)
(+.f64 -1 (-.f64 x (+.f64 -1 (*.f64 y 3/8))))
(-.f64 (+.f64 x -1) (+.f64 -1 (*.f64 y 3/8)))
(-.f64 x (*.f64 y 3/8))
(+.f64 (+.f64 (-.f64 (.f64 x 1/2) (.f64 y 3/16)) -1) (+.f64 1 (-.f64 (.f64 x 1/2) (.f64 y 3/16))))
(+.f64 (-.f64 (.f64 x 1/2) (.f64 y 3/16)) (-.f64 (.f64 x 1/2) (.f64 y 3/16)))
(+.f64 (-.f64 (.f64 x 1/2) (.f64 3/8 y)) (*.f64 x 1/2))
(+.f64 (.f64 x 1/2) (-.f64 (.f64 x 1/2) (*.f64 y 3/8)))
(.f64 (+.f64 x (.f64 y -3/8)) 1)
(+.f64 x (*.f64 -3/8 y))
(.f64 1 (+.f64 x (.f64 y -3/8)))
(+.f64 x (*.f64 -3/8 y))
(.f64 2 (-.f64 (.f64 x 1/2) (*.f64 y 3/16)))
(.f64 (-.f64 (.f64 x 1/2) (*.f64 y 3/16)) 2)
(.f64 (+.f64 x (+.f64 x (.f64 y -3/4))) 1/2)
(+.f64 x (*.f64 -3/8 y))
(.f64 (-.f64 (.f64 3/8 y) x) -1)
(+.f64 -1 (-.f64 x (+.f64 -1 (*.f64 y 3/8))))
(-.f64 (+.f64 x -1) (+.f64 -1 (*.f64 y 3/8)))
(-.f64 x (*.f64 y 3/8))
(.f64 4 (.f64 (-.f64 (*.f64 3/8 y) x) -1/4))
(+.f64 -1 (-.f64 x (+.f64 -1 (*.f64 y 3/8))))
(-.f64 (+.f64 x -1) (+.f64 -1 (*.f64 y 3/8)))
(-.f64 x (*.f64 y 3/8))
(.f64 (.f64 (-.f64 (*.f64 3/8 y) x) -4) 1/4)
(+.f64 -1 (-.f64 x (+.f64 -1 (*.f64 y 3/8))))
(-.f64 (+.f64 x -1) (+.f64 -1 (*.f64 y 3/8)))
(-.f64 x (*.f64 y 3/8))
(.f64 -1 (-.f64 (.f64 3/8 y) x))
(+.f64 -1 (-.f64 x (+.f64 -1 (*.f64 y 3/8))))
(-.f64 (+.f64 x -1) (+.f64 -1 (*.f64 y 3/8)))
(-.f64 x (*.f64 y 3/8))
(.f64 (+.f64 (.f64 y 3/4) (*.f64 x -2)) -1/2)
(.f64 (-.f64 (.f64 x 8) (*.f64 y 3)) 1/8)
(.f64 1/2 (+.f64 x (+.f64 x (.f64 y -3/4))))
(+.f64 x (*.f64 -3/8 y))
(.f64 (-.f64 (.f64 x 1/2) (*.f64 y 3/16)) 2)
(.f64 -2 (.f64 (-.f64 (*.f64 3/8 y) x) 1/2))
(+.f64 -1 (-.f64 x (+.f64 -1 (*.f64 y 3/8))))
(-.f64 (+.f64 x -1) (+.f64 -1 (*.f64 y 3/8)))
(-.f64 x (*.f64 y 3/8))
(.f64 (.f64 (-.f64 (*.f64 3/8 y) x) 1/2) -2)
(+.f64 -1 (-.f64 x (+.f64 -1 (*.f64 y 3/8))))
(-.f64 (+.f64 x -1) (+.f64 -1 (*.f64 y 3/8)))
(-.f64 x (*.f64 y 3/8))
(.f64 1/4 (.f64 (-.f64 (*.f64 3/8 y) x) -4))
(+.f64 -1 (-.f64 x (+.f64 -1 (*.f64 y 3/8))))
(-.f64 (+.f64 x -1) (+.f64 -1 (*.f64 y 3/8)))
(-.f64 x (*.f64 y 3/8))
(.f64 (.f64 (-.f64 (*.f64 3/8 y) x) -1/4) 4)
(+.f64 -1 (-.f64 x (+.f64 -1 (*.f64 y 3/8))))
(-.f64 (+.f64 x -1) (+.f64 -1 (*.f64 y 3/8)))
(-.f64 x (*.f64 y 3/8))
(.f64 1/8 (-.f64 (.f64 x 8) (*.f64 y 3)))
(.f64 (-.f64 (.f64 x 8) (*.f64 y 3)) 1/8)
(.f64 -1/2 (+.f64 (.f64 y 3/4) (*.f64 x -2)))
(.f64 (+.f64 (.f64 y 3/4) (*.f64 x -2)) -1/2)
(/.f64 (+.f64 x (*.f64 y -3/8)) 1)
(+.f64 x (*.f64 -3/8 y))
(/.f64 (+.f64 x (+.f64 x (*.f64 y -3/4))) 2)
(+.f64 x (*.f64 -3/8 y))
(/.f64 (-.f64 (*.f64 3/8 y) x) -1)
(+.f64 -1 (-.f64 x (+.f64 -1 (*.f64 y 3/8))))
(-.f64 (+.f64 x -1) (+.f64 -1 (*.f64 y 3/8)))
(-.f64 x (*.f64 y 3/8))
(/.f64 (.f64 (-.f64 (.f64 3/8 y) x) -4) 4)
(+.f64 -1 (-.f64 x (+.f64 -1 (*.f64 y 3/8))))
(-.f64 (+.f64 x -1) (+.f64 -1 (*.f64 y 3/8)))
(-.f64 x (*.f64 y 3/8))
(/.f64 (+.f64 (.f64 y 3/4) (.f64 x -2)) -2)
(/.f64 (-.f64 (.f64 x 8) (.f64 y 3)) 8)
(/.f64 (-.f64 (.f64 y 3/2) (.f64 x 4)) -4)
(/.f64 (.f64 2 (-.f64 (.f64 x 8) (*.f64 y 3))) 16)
(.f64 (-.f64 (.f64 x 8) (*.f64 y 3)) 1/8)
(/.f64 (-.f64 (.f64 y 3) (.f64 x 8)) -8)
(/.f64 (.f64 2 (.f64 2 (-.f64 (.f64 x 8) (.f64 y 3)))) 32)
(.f64 (-.f64 (.f64 x 8) (*.f64 y 3)) 1/8)
(/.f64 (.f64 2 (-.f64 (.f64 y 3) (*.f64 x 8))) -16)
(.f64 (-.f64 (.f64 y 3) (*.f64 x 8)) -1/8)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (-.f64 (.f64 x 8) (*.f64 y 3))))) 64)
(.f64 (-.f64 (.f64 x 8) (*.f64 y 3)) 1/8)
(/.f64 (.f64 2 (.f64 2 (-.f64 (.f64 y 3) (.f64 x 8)))) -32)
(.f64 (-.f64 (.f64 y 3) (*.f64 x 8)) -1/8)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (-.f64 (.f64 x 8) (.f64 y 3)))))) 128)
(.f64 (-.f64 (.f64 x 8) (*.f64 y 3)) 1/8)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (-.f64 (.f64 x 8) (.f64 y 3)))))) (.f64 2 (.f64 2 (.f64 2 (.f64 2 (-.f64 (.f64 x 8) (.f64 y 3))))))) 256)
(.f64 (-.f64 (.f64 x 8) (*.f64 y 3)) 1/8)
(pow.f64 (+.f64 x (*.f64 y -3/8)) 1)
(+.f64 x (*.f64 -3/8 y))
(neg.f64 (-.f64 (*.f64 3/8 y) x))
(+.f64 -1 (-.f64 x (+.f64 -1 (*.f64 y 3/8))))
(-.f64 (+.f64 x -1) (+.f64 -1 (*.f64 y 3/8)))
(-.f64 x (*.f64 y 3/8))

eval15.0ms (0.4%)

Compiler: Compiled 577 to 443 computations (23.2% saved)

prune9.0ms (0.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	59	3	62
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	59	4	63

Error

0.1b

Counts

63 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.4b	(/.f64 (+.f64 x (+.f64 x (*.f64 y -3/4))) 2)
✓	0.1b	(-.f64 x (*.f64 3/8 y))
▶	29.2b	(*.f64 -3/8 y)
	34.3b	x

Compiler

Compiled 26 to 19 computations (26.9% saved)

localize3.0ms (0.1%)

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

localize11.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 x (*.f64 y -3/4))
✓	0.0b	(+.f64 x (+.f64 x (*.f64 y -3/4)))
✓	0.2b	(/.f64 (+.f64 x (+.f64 x (*.f64 y -3/4))) 2)

Compiler

Compiled 30 to 19 computations (36.7% saved)

series6.0ms (0.2%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
4.0ms	x	@	inf	(/.f64 (+.f64 x (+.f64 x (*.f64 y -3/4))) 2)
0.0ms	x	@	0	(/.f64 (+.f64 x (+.f64 x (*.f64 y -3/4))) 2)
0.0ms	y	@	0	(/.f64 (+.f64 x (+.f64 x (*.f64 y -3/4))) 2)
0.0ms	y	@	inf	(/.f64 (+.f64 x (+.f64 x (*.f64 y -3/4))) 2)
0.0ms	x	@	-inf	(/.f64 (+.f64 x (+.f64 x (*.f64 y -3/4))) 2)

rewrite169.0ms (4.6%)

Algorithm

1×	batch-egg-rewrite

Rules

2406×	`rational.json-simplify-2`
1562×	`rational.json-simplify-1`
1498×	`rational.json-simplify-35`
1322×	`exponential.json-3`
1322×	`rational.json-1`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	10	57
1	69	57
2	153	57
3	324	57
4	659	57
5	1687	45
6	3786	45
7	5328	45
8	6415	45
9	7248	45
10	7248	45

Stop Event

1×	node limit

Counts

3 → 77

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (.f64 y -3/8))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (.f64 y -3/8)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 x (.f64 y -3/8)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 y -3/8) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x 1/2) (+.f64 (.f64 y -3/8) (.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (+.f64 x (.f64 y -3/8)) 1/2) (.f64 (+.f64 x (.f64 y -3/8)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (.f64 y -3/8) (.f64 x 1/2)) (.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x (.f64 y -3/8)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 y -3/4) (+.f64 x x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (+.f64 x (.f64 y -3/8)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 x (.f64 y -3/8)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 x (.f64 y -3/8)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 x (.f64 y -3/8)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (.f64 (+.f64 x (.f64 y -3/8)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 x (.f64 y -3/8)) 8) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 8 (/.f64 (+.f64 x (.f64 y -3/8)) 8))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (+.f64 (.f64 y -3/4) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (.f64 y -3/4) (+.f64 x x)) 8) 1/16)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (+.f64 x (.f64 y -3/8)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 4 (.f64 (+.f64 x (.f64 y -3/8)) 8)) 1/32)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 x (.f64 y -3/8)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/8 (.f64 (+.f64 x (.f64 y -3/8)) 8))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 x (.f64 y -3/8)) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/16 (.f64 (+.f64 (.f64 y -3/4) (+.f64 x x)) 8))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 x (.f64 y -3/8)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/32 (.f64 4 (.f64 (+.f64 x (.f64 y -3/8)) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (.f64 y -3/8)) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 y -3/4) (+.f64 x x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 y -3/4) (+.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (+.f64 x (.f64 y -3/8)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 x (.f64 y -3/8)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (.f64 y -3/4) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 x (.f64 y -3/8)) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (.f64 (+.f64 x (.f64 y -3/8)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 x (.f64 y -3/8)) 8) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 8 (.f64 (+.f64 x (.f64 y -3/8)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (+.f64 x (.f64 y -3/8)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (+.f64 (.f64 y -3/2) (.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (.f64 y -3/4) (+.f64 x x)) 8) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (+.f64 x (.f64 y -3/8)) 8))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 4 (.f64 (+.f64 x (.f64 y -3/8)) 8)) 1/16)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 x (.f64 y -3/8)) 1/2) 4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/8 (.f64 (+.f64 (.f64 y -3/4) (+.f64 x x)) 8))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 x (.f64 y -3/8)) 1/4) 8)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/16 (.f64 4 (.f64 (+.f64 x (.f64 y -3/8)) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 y -3/2) (.f64 x 4)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 y -3/4) (+.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 x (.f64 y -3/8)) 4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 x (.f64 y -3/8)) 8) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (.f64 y -3/4) (+.f64 x x)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 4 (.f64 (+.f64 x (.f64 y -3/8)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 4 (.f64 (+.f64 x (.f64 y -3/8)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 4 (.f64 (+.f64 x (.f64 y -3/8)) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 4 (.f64 (+.f64 x (.f64 y -3/8)) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (*.f64 y -3/4) (+.f64 x x)) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x (.f64 y -3/4)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 x (.f64 y -3/4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (+.f64 (.f64 y -3/8) (.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 x (.f64 y -3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (.f64 (+.f64 x (.f64 y -3/4)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 y -3/2) (+.f64 x x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (+.f64 (.f64 y -3/2) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 x (.f64 y -3/4)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (+.f64 x (.f64 y -3/4)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 x (.f64 y -3/4)) 8) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/8 (.f64 (+.f64 x (.f64 y -3/4)) 8))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 y -3/8) (.f64 x 1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 x (.f64 y -3/4)) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (.f64 y -3/4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 y -3/2) (+.f64 x x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 x (.f64 y -3/4)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 x (.f64 y -3/4)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (+.f64 x (.f64 y -3/4)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (+.f64 x (.f64 y -3/4)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 x (.f64 y -3/4)) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 x (.f64 y -3/4)) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (.f64 y -3/4)) 1)))))

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 y -3/4) (+.f64 x x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 y -3/4) (+.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (+.f64 x (*.f64 y -3/8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (*.f64 y -3/8)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 y -3/4) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x (*.f64 y -3/8)) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (+.f64 x (*.f64 y -3/8)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x (*.f64 y -3/8)) 8) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 8 (*.f64 (+.f64 x (*.f64 y -3/8)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (+.f64 x (*.f64 y -3/8)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (*.f64 y -3/2) (*.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 y -3/4) (+.f64 x x)) 8) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 x (*.f64 y -3/8)) 8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 4 (*.f64 (+.f64 x (*.f64 y -3/8)) 8)) 1/16)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x (*.f64 y -3/8)) 1/2) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (*.f64 (+.f64 (*.f64 y -3/4) (+.f64 x x)) 8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x (*.f64 y -3/8)) 1/4) 8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/16 (*.f64 4 (*.f64 (+.f64 x (*.f64 y -3/8)) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 y -3/2) (*.f64 x 4)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 y -3/4) (+.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x (*.f64 y -3/8)) 4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x (*.f64 y -3/8)) 8) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 y -3/4) (+.f64 x x)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (*.f64 (+.f64 x (*.f64 y -3/8)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 4 (*.f64 (+.f64 x (*.f64 y -3/8)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 4 (*.f64 (+.f64 x (*.f64 y -3/8)) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 4 (*.f64 (+.f64 x (*.f64 y -3/8)) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (*.f64 y -3/4) (+.f64 x x)) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x (*.f64 y -3/4)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (*.f64 y -3/4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (+.f64 (*.f64 y -3/8) (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x (*.f64 y -3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (+.f64 x (*.f64 y -3/4)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 y -3/2) (+.f64 x x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (*.f64 y -3/2) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x (*.f64 y -3/4)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 x (*.f64 y -3/4)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x (*.f64 y -3/4)) 8) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (*.f64 (+.f64 x (*.f64 y -3/4)) 8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 y -3/8) (*.f64 x 1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x (*.f64 y -3/4)) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (*.f64 y -3/4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 y -3/2) (+.f64 x x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x (*.f64 y -3/4)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x (*.f64 y -3/4)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 x (*.f64 y -3/4)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 x (*.f64 y -3/4)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 x (*.f64 y -3/4)) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 x (*.f64 y -3/4)) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (*.f64 y -3/4)) 1)))))

simplify967.0ms (26.1%)

Algorithm

1×	egg-herbie

Rules

3354×	`rational.json-simplify-51`
3264×	`rational.json-simplify-49`
2936×	`rational.json-simplify-2`
2674×	`rational.json-simplify-35`
1058×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	132	2105
1	260	2105
2	703	2105
3	1805	2105
4	3404	2105
5	3999	2105
6	4090	2105
7	4143	2105
8	4189	2105
9	4234	2105
10	4279	2105
11	4324	2105
12	4369	2105
13	4414	2105
14	4459	2105
15	4504	2105
16	4549	2105
17	4594	2105
18	4639	2105
19	4684	2105
20	6317	2105
21	6428	2105
22	6473	2105
23	6516	2105
24	6559	2105
25	6602	2105
26	6602	2105
27	6602	2105
28	6645	2105
29	6688	2105
30	6731	2105
31	6774	2105
32	7690	2105
33	7733	2105
34	7776	2105

Stop Event

1×	node limit

Counts

149 → 92

Calls

Call 1

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

Outputs
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(+.f64 x (*.f64 -3/8 y))
(+.f64 (*.f64 -3/8 y) x)
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(pow.f64 (+.f64 x (*.f64 y -3/8)) 1)
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(+.f64 (.f64 y -3/4) (.f64 x 2))
(+.f64 x (+.f64 x (*.f64 y -3/4)))
(/.f64 (.f64 2 (.f64 4 (.f64 (+.f64 x (.f64 y -3/8)) 8))) 32)
(+.f64 (.f64 y -3/4) (.f64 x 2))
(+.f64 x (+.f64 x (*.f64 y -3/4)))
(/.f64 (.f64 2 (.f64 2 (.f64 4 (.f64 (+.f64 x (*.f64 y -3/8)) 8)))) 64)
(+.f64 (.f64 y -3/4) (.f64 x 2))
(+.f64 x (+.f64 x (*.f64 y -3/4)))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 4 (.f64 (+.f64 x (.f64 y -3/8)) 8))))) 128)
(+.f64 (.f64 y -3/4) (.f64 x 2))
(+.f64 x (+.f64 x (*.f64 y -3/4)))
(pow.f64 (+.f64 (*.f64 y -3/4) (+.f64 x x)) 1)
(+.f64 (.f64 y -3/4) (.f64 x 2))
(+.f64 x (+.f64 x (*.f64 y -3/4)))
(-.f64 (+.f64 x (*.f64 y -3/4)) 0)
(+.f64 x (*.f64 y -3/4))
(.f64 (+.f64 x (.f64 y -3/4)) 1)
(+.f64 x (*.f64 y -3/4))
(.f64 2 (+.f64 (.f64 y -3/8) (*.f64 x 1/2)))
(.f64 2 (+.f64 (.f64 -3/8 y) (*.f64 x 1/2)))
(.f64 1 (+.f64 x (.f64 y -3/4)))
(+.f64 x (*.f64 y -3/4))
(.f64 4 (.f64 (+.f64 x (*.f64 y -3/4)) 1/4))
(+.f64 x (*.f64 y -3/4))
(.f64 (+.f64 (.f64 y -3/2) (+.f64 x x)) 1/2)
(+.f64 x (*.f64 y -3/4))
(.f64 1/2 (+.f64 (.f64 y -3/2) (+.f64 x x)))
(+.f64 x (*.f64 y -3/4))
(.f64 (.f64 (+.f64 x (*.f64 y -3/4)) 4) 1/4)
(+.f64 x (*.f64 y -3/4))
(.f64 1/4 (.f64 (+.f64 x (*.f64 y -3/4)) 4))
(+.f64 x (*.f64 y -3/4))
(.f64 (.f64 (+.f64 x (*.f64 y -3/4)) 8) 1/8)
(+.f64 x (*.f64 y -3/4))
(.f64 1/8 (.f64 (+.f64 x (*.f64 y -3/4)) 8))
(+.f64 x (*.f64 y -3/4))
(.f64 (+.f64 (.f64 y -3/8) (*.f64 x 1/2)) 2)
(.f64 2 (+.f64 (.f64 -3/8 y) (*.f64 x 1/2)))
(.f64 (.f64 (+.f64 x (*.f64 y -3/4)) 1/4) 4)
(+.f64 x (*.f64 y -3/4))
(/.f64 (+.f64 x (*.f64 y -3/4)) 1)
(+.f64 x (*.f64 y -3/4))
(/.f64 (+.f64 (*.f64 y -3/2) (+.f64 x x)) 2)
(+.f64 x (*.f64 y -3/4))
(/.f64 (.f64 (+.f64 x (.f64 y -3/4)) 4) 4)
(+.f64 x (*.f64 y -3/4))
(/.f64 (.f64 (+.f64 x (.f64 y -3/4)) 8) 8)
(+.f64 x (*.f64 y -3/4))
(/.f64 (.f64 2 (.f64 (+.f64 x (*.f64 y -3/4)) 8)) 16)
(+.f64 x (*.f64 y -3/4))
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 x (.f64 y -3/4)) 8))) 32)
(+.f64 x (*.f64 y -3/4))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 x (*.f64 y -3/4)) 8)))) 64)
(+.f64 x (*.f64 y -3/4))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 x (.f64 y -3/4)) 8))))) 128)
(+.f64 x (*.f64 y -3/4))
(pow.f64 (+.f64 x (*.f64 y -3/4)) 1)
(+.f64 x (*.f64 y -3/4))

eval20.0ms (0.5%)

Compiler: Compiled 970 to 732 computations (24.5% saved)

prune14.0ms (0.4%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	92	0	92
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	92	4	96

Error

0.1b

Counts

96 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.4b	(/.f64 (+.f64 x (+.f64 x (*.f64 y -3/4))) 2)
✓	0.1b	(-.f64 x (*.f64 3/8 y))
✓	29.2b	(*.f64 -3/8 y)
	34.3b	x

Compiler

Compiled 26 to 19 computations (26.9% saved)

eval0.0ms (0%)

Compiler: Compiled 2 to 2 computations (0% saved)

prune2.0ms (0%)

Pruning

4 alts after pruning (1 fresh and 3 done)

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

Error

0.1b

Counts

4 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.4b	(/.f64 (+.f64 x (+.f64 x (*.f64 y -3/4))) 2)
✓	0.1b	(-.f64 x (*.f64 3/8 y))
✓	29.2b	(*.f64 -3/8 y)
	34.3b	x

Compiler

Compiled 26 to 19 computations (26.9% saved)

eval0.0ms (0%)

Compiler: Compiled 2 to 2 computations (0% saved)

prune2.0ms (0%)

Pruning

4 alts after pruning (1 fresh and 3 done)

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

Error

0.1b

Counts

4 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.4b	(/.f64 (+.f64 x (+.f64 x (*.f64 y -3/4))) 2)
✓	0.1b	(-.f64 x (*.f64 3/8 y))
✓	29.2b	(*.f64 -3/8 y)
	34.3b	x

Compiler

Compiled 26 to 19 computations (26.9% saved)

regimes19.0ms (0.5%)

Counts

5 → 1

Calls

Call 1

Inputs
x
(*.f64 -3/8 y)
(-.f64 x (*.f64 3/8 y))
(-.f64 x (*.f64 (/.f64 3 8) y))
(/.f64 (+.f64 x (+.f64 x (*.f64 y -3/4))) 2)

Outputs
(-.f64 x (*.f64 3/8 y))

Calls

4 calls:

5.0ms	(*.f64 (/.f64 3 8) y)
5.0ms	x
4.0ms	(-.f64 x (*.f64 (/.f64 3 8) y))
4.0ms	y

Results

Error	Segments	Branch
0.1b	1	`x`
0.1b	1	`y`
0.1b	1	`(-.f64 x (*.f64 (/.f64 3 8) y))`
0.1b	1	`(*.f64 (/.f64 3 8) y)`

Compiler

Compiled 49 to 35 computations (28.6% saved)

regimes32.0ms (0.9%)

Accuracy

Total -49.6b remaining (-400.8%)

Threshold costs -49.6b (-400.8%)

Counts

2 → 5

Calls

Call 1

Inputs
x
(*.f64 -3/8 y)

Outputs
x
(*.f64 -3/8 y)
x
(*.f64 -3/8 y)
x

Calls

2 calls:

16.0ms	x
15.0ms	y

Results

Error	Segments	Branch
12.4b	5	`x`
13.9b	5	`y`

Compiler

Compiled 12 to 8 computations (33.3% saved)

bsearch51.0ms (1.4%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
14.0ms	4.5024121363953877e+76	3.972564765721347e+81
15.0ms	3.2172568569741256e-10	9.710007036042223e-8
13.0ms	1.2909986025953722e-24	3.368595094242601e-21
9.0ms	-2.228904135883702e+72	-1.621706415913115e+71

Results

39.0ms	459×	body	256	valid
3.0ms	18×	body	1024	valid
2.0ms	15×	body	512	valid
1.0ms	4×	body	2048	valid

Compiler

Compiled 324 to 259 computations (20.1% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	67

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs

(-.f64 x (*.f64 3/8 y))

(if (<=.f64 x -164999999999999989746501660396935349620099883912192960188787403991810048) x (if (<=.f64 x 7975367974709495/2658455991569831745807614120560689152) (*.f64 -3/8 y) (if (<=.f64 x 7978910409456553/4835703278458516698824704) x (if (<=.f64 x 45500000000000001980542315137799838752399977171676909725247829005507751837696) (*.f64 -3/8 y) x))))

Outputs

(-.f64 x (*.f64 3/8 y))

(if (<=.f64 x -164999999999999989746501660396935349620099883912192960188787403991810048) x (if (<=.f64 x 7975367974709495/2658455991569831745807614120560689152) (*.f64 -3/8 y) (if (<=.f64 x 7978910409456553/4835703278458516698824704) x (if (<=.f64 x 45500000000000001980542315137799838752399977171676909725247829005507751837696) (*.f64 -3/8 y) x))))

Compiler

Compiled 37 to 25 computations (32.4% saved)

soundness9.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

2×	`rational.json-simplify-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	13
1	11	13

Stop Event

1×

saturated

Compiler

Compiled 14 to 10 computations (28.6% saved)

end23.0ms (0.6%)

Compiler: Compiled 33 to 21 computations (36.4% saved)

Details

analyze51.0ms (1.4%)

sample1.9s (51.2%)

preprocess10.0ms (0.3%)

simplify11.0ms (0.3%)

eval0.0ms (0%)

prune1.0ms (0%)

localize5.0ms (0.1%)

series1.0ms (0%)

rewrite129.0ms (3.5%)

simplify242.0ms (6.5%)

eval15.0ms (0.4%)

prune9.0ms (0.2%)

localize3.0ms (0.1%)

localize11.0ms (0.3%)

series6.0ms (0.2%)

rewrite169.0ms (4.6%)

simplify967.0ms (26.1%)

eval20.0ms (0.5%)

prune14.0ms (0.4%)

eval0.0ms (0%)

prune2.0ms (0%)

eval0.0ms (0%)

prune2.0ms (0%)

regimes19.0ms (0.5%)

regimes32.0ms (0.9%)

bsearch51.0ms (1.4%)

simplify3.0ms (0.1%)

soundness9.0ms (0.2%)

end23.0ms (0.6%)

Profiling