Details

analyze324.0ms (4.5%)

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
28.6%	25%	62.4%	0.1%	12.5%	0%	0%	6
42.9%	37.5%	50%	0.1%	12.5%	0%	0%	7
55.6%	46.8%	37.5%	0.1%	15.6%	0%	0%	8
63.6%	53.1%	30.4%	0.1%	16.4%	0%	0%	9
73.9%	58.5%	20.7%	0.1%	20.7%	0%	0%	10
79.3%	62%	16.2%	0.1%	21.7%	0%	0%	11
85.7%	65%	10.8%	0.1%	24.1%	0%	0%	12

Compiler

Compiled 12 to 8 computations (33.3% saved)

sample3.5s (49.5%)

Results

3.5s	8256×	body	256	valid
39.0ms	476×	body	256	infinite

Bogosity

preprocess149.0ms (2.1%)

Algorithm

2×	egg-herbie

Rules

1106×	`rational.json-simplify-2`
918×	`rational.json-simplify-44`
904×	`rational.json-simplify-37`
824×	`rational.json-simplify-47`
824×	`rational.json-simplify-39`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	50
1	22	38
2	36	38
3	77	38
4	384	38
5	3954	38
6	6248	38
7	7322	38
8	7980	38
0	2	2

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs
(.f64 2 (+.f64 (.f64 x x) (*.f64 x y)))
(.f64 2 (+.f64 (.f64 y y) (*.f64 y x)))

Outputs
(.f64 2 (+.f64 (.f64 x x) (*.f64 x y)))
(.f64 2 (.f64 x (+.f64 y x)))
(.f64 2 (.f64 x (+.f64 x y)))
(.f64 (+.f64 x y) (.f64 x 2))
(.f64 2 (+.f64 (.f64 y y) (*.f64 y x)))
(.f64 2 (+.f64 (.f64 y y) (*.f64 x y)))
(.f64 2 (.f64 y (+.f64 y x)))
(.f64 2 (.f64 y (+.f64 x y)))

Compiler

Compiled 13 to 9 computations (30.8% saved)

simplify132.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1814×	`rational.json-simplify-35`
1346×	`rational.json-simplify-53`
1020×	`rational.json-simplify-39`
866×	`rational.json-simplify-59`
654×	`rational.json-simplify-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	25
1	14	19
2	22	19
3	43	19
4	198	19
5	1981	19
6	5968	19
7	7845	19

Stop Event

1×	node limit

Counts

1 → 5

Calls

Call 1

Inputs
(.f64 2 (+.f64 (.f64 x x) (*.f64 x y)))

Outputs
(.f64 2 (+.f64 (.f64 x x) (*.f64 x y)))
(.f64 2 (.f64 x (+.f64 y x)))
(.f64 2 (.f64 x (+.f64 x y)))
(.f64 (+.f64 x y) (.f64 x 2))
(.f64 (+.f64 x y) (.f64 2 x))

eval1.0ms (0%)

Compiler: Compiled 39 to 21 computations (46.2% saved)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	3	2	5
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	3	3	6

Error

0.0b

Counts

6 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(.f64 (+.f64 x y) (.f64 x 2))
▶	0.0b	(.f64 2 (+.f64 (.f64 x x) (*.f64 x y)))

Compiler

Compiled 20 to 13 computations (35% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 2 (+.f64 (.f64 x x) (*.f64 x y)))
✓	0.0b	(+.f64 (.f64 x x) (.f64 x y))

Compiler

Compiled 27 to 8 computations (70.4% saved)

series3.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite63.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

2020×	`rational.json-simplify-35`
1146×	`rational.json-1`
1146×	`rational.json-2`
1146×	`rational.json-4`
1146×	`rational.json-3`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	44
1	61	32
2	136	32
3	325	32
4	1186	32
5	3971	32

Stop Event

1×	node limit

Counts

2 → 37

Calls

Call 1

Inputs
(+.f64 (.f64 x x) (.f64 x y))
(.f64 2 (+.f64 (.f64 x x) (*.f64 x y)))

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

Outputs

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

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

simplify112.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

936×	`rational.json-simplify-59`
934×	`rational.json-simplify-51`
898×	`rational.json-simplify-41`
874×	`rational.json-simplify-2`
830×	`rational.json-simplify-19`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	75	1681
1	158	1573
2	407	1483
3	1432	1483
4	3272	1483
5	6034	1483
6	7489	1483

Stop Event

1×	node limit

Counts

85 → 53

Calls

Call 1

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

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

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (+.f64 x y) (.f64 x 2))

Compiler

Compiled 18 to 9 computations (50% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(.f64 (+.f64 x y) (.f64 x 2))
0.0ms	x	@	0	(.f64 (+.f64 x y) (.f64 x 2))
0.0ms	x	@	-inf	(.f64 (+.f64 x y) (.f64 x 2))
0.0ms	y	@	inf	(.f64 (+.f64 x y) (.f64 x 2))
0.0ms	y	@	-inf	(.f64 (+.f64 x y) (.f64 x 2))

rewrite121.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1664×	`rational.json-simplify-35`
1554×	`exponential.json-3`
1554×	`rational.json-1`
1554×	`rational.json-2`
1554×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	55	19
2	124	19
3	250	19
4	447	19
5	1002	19
6	2440	19
7	4593	19
8	5785	19
9	7009	19

Stop Event

1×	node limit

Counts

1 → 14

Calls

Call 1

Inputs
(.f64 (+.f64 x y) (.f64 x 2))

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

Outputs

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

simplify682.0ms (9.6%)

Algorithm

1×	egg-herbie

Rules

3176×	`rational.json-simplify-35`
2976×	`rational.json-simplify-2`
1358×	`rational.json-simplify-53`
958×	`rational.json-simplify-1`
902×	`exponential.json-simplify-26`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	48	902
1	123	794
2	250	794
3	556	794
4	1954	794
5	4093	794
6	5016	794
7	5252	794
8	5390	794
9	5502	794
10	5614	794
11	6235	794
12	6628	794
13	6904	794
14	7005	794
15	7190	794
16	7190	794
17	7300	794
18	7410	794
19	7525	794
20	7635	794
21	7745	794

Stop Event

1×	node limit

Counts

38 → 21

Calls

Call 1

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

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

eval13.0ms (0.2%)

Compiler: Compiled 744 to 395 computations (46.9% saved)

prune9.0ms (0.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	71	3	74
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	71	5	76

Error

Counts

76 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(.f64 (+.f64 x y) (.f64 x 2))
▶	21.7b	(*.f64 y (+.f64 x x))
▶	0.0b	(*.f64 x (+.f64 x (+.f64 x (+.f64 y y))))
✓	0.0b	(.f64 2 (+.f64 (.f64 x x) (*.f64 x y)))
▶	21.7b	(.f64 2 (.f64 y x))

Compiler

Compiled 45 to 28 computations (37.8% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 2 (.f64 y x))

Compiler

Compiled 13 to 6 computations (53.8% saved)

series2.0ms (0%)

Counts

1 → 0

Calls

6 calls:

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

rewrite289.0ms (4.1%)

Algorithm

1×	batch-egg-rewrite

Rules

2570×	`rational.json-simplify-2`
1730×	`rational.json-simplify-35`
1394×	`rational.json-1`
1394×	`rational.json-2`
1122×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	48	13
2	113	13
3	220	13
4	378	13
5	843	13
6	1815	13
7	3192	13
8	3932	13
9	4709	13
10	5815	13
11	6474	13
12	6474	13
13	7805	13

Stop Event

1×	node limit

Counts

1 → 17

Calls

Call 1

Inputs
(.f64 2 (.f64 y x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y x) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (*.f64 y x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 2 (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (*.f64 x 1/2)) (*.f64 y (*.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (*.f64 x 3/2)) (*.f64 y (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 2 (*.f64 y x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (*.f64 x 4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (*.f64 x 8)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 16 (*.f64 y x)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 16 (*.f64 y x))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 16 (*.f64 y x)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 16 (*.f64 y x))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 16 (*.f64 y x)))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 16 (*.f64 y x))))))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 16 (*.f64 y x)))))))) 512)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (*.f64 y x)) 1)))))

simplify515.0ms (7.2%)

Algorithm

1×	egg-herbie

Rules

2986×	`rational.json-simplify-35`
2158×	`rational.json-simplify-2`
1058×	`rational.json-simplify-53`
1030×	`rational.json-simplify-49`
1028×	`exponential.json-simplify-26`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	51	323
1	139	221
2	288	221
3	758	221
4	2759	221
5	4584	221
6	5379	221
7	5668	221
8	5857	221
9	6018	221
10	6819	221
11	7018	221
12	7165	221
13	7281	221
14	7290	221
15	7290	221
16	7440	221
17	7707	221
18	7988	221

Stop Event

1×	node limit

Counts

17 → 19

Calls

Call 1

Inputs
(+.f64 (.f64 y x) (.f64 y x))
(+.f64 (.f64 2 (.f64 y x)) 0)
(+.f64 0 (.f64 2 (.f64 y x)))
(+.f64 (.f64 y (.f64 x 1/2)) (.f64 y (.f64 x 3/2)))
(+.f64 (.f64 y (.f64 x 3/2)) (.f64 y (.f64 x 1/2)))
(-.f64 (.f64 2 (.f64 y x)) 0)
(/.f64 (.f64 2 (.f64 y x)) 1)
(/.f64 (.f64 y (.f64 x 4)) 2)
(/.f64 (.f64 y (.f64 x 8)) 4)
(/.f64 (.f64 16 (.f64 y x)) 8)
(/.f64 (.f64 2 (.f64 16 (*.f64 y x))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 16 (.f64 y x)))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 16 (*.f64 y x))))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 16 (.f64 y x)))))) 128)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 16 (*.f64 y x))))))) 256)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 16 (.f64 y x)))))))) 512)
(pow.f64 (.f64 2 (.f64 y x)) 1)

Outputs
(+.f64 (.f64 y x) (.f64 y x))
(*.f64 y (+.f64 x x))
(.f64 y (.f64 x 2))
(+.f64 (.f64 2 (.f64 y x)) 0)
(+.f64 (.f64 y x) (.f64 y x))
(*.f64 y (+.f64 x x))
(.f64 y (.f64 x 2))
(+.f64 0 (.f64 2 (.f64 y x)))
(+.f64 (.f64 y x) (.f64 y x))
(*.f64 y (+.f64 x x))
(.f64 y (.f64 x 2))
(+.f64 (.f64 y (.f64 x 1/2)) (.f64 y (.f64 x 3/2)))
(+.f64 (.f64 y x) (.f64 y x))
(*.f64 y (+.f64 x x))
(.f64 y (.f64 x 2))
(+.f64 (.f64 y (.f64 x 3/2)) (.f64 y (.f64 x 1/2)))
(+.f64 (.f64 y x) (.f64 y x))
(*.f64 y (+.f64 x x))
(.f64 y (.f64 x 2))
(-.f64 (.f64 2 (.f64 y x)) 0)
(+.f64 (.f64 y x) (.f64 y x))
(*.f64 y (+.f64 x x))
(.f64 y (.f64 x 2))
(/.f64 (.f64 2 (.f64 y x)) 1)
(+.f64 (.f64 y x) (.f64 y x))
(*.f64 y (+.f64 x x))
(.f64 y (.f64 x 2))
(/.f64 (.f64 y (.f64 x 4)) 2)
(+.f64 (.f64 y x) (.f64 y x))
(*.f64 y (+.f64 x x))
(.f64 y (.f64 x 2))
(/.f64 (.f64 y (.f64 x 8)) 4)
(+.f64 (.f64 y x) (.f64 y x))
(*.f64 y (+.f64 x x))
(.f64 y (.f64 x 2))
(/.f64 (.f64 16 (.f64 y x)) 8)
(+.f64 (.f64 y x) (.f64 y x))
(*.f64 y (+.f64 x x))
(.f64 y (.f64 x 2))
(/.f64 (.f64 2 (.f64 16 (*.f64 y x))) 16)
(+.f64 (.f64 y x) (.f64 y x))
(*.f64 y (+.f64 x x))
(.f64 y (.f64 x 2))
(/.f64 (.f64 2 (.f64 2 (.f64 16 (.f64 y x)))) 32)
(+.f64 (.f64 y x) (.f64 y x))
(*.f64 y (+.f64 x x))
(.f64 y (.f64 x 2))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 16 (*.f64 y x))))) 64)
(+.f64 (.f64 y x) (.f64 y x))
(*.f64 y (+.f64 x x))
(.f64 y (.f64 x 2))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 16 (.f64 y x)))))) 128)
(+.f64 (.f64 y x) (.f64 y x))
(*.f64 y (+.f64 x x))
(.f64 y (.f64 x 2))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 16 (*.f64 y x))))))) 256)
(+.f64 (.f64 y x) (.f64 y x))
(*.f64 y (+.f64 x x))
(.f64 y (.f64 x 2))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 16 (.f64 y x)))))))) 512)
(+.f64 (.f64 y x) (.f64 y x))
(*.f64 y (+.f64 x x))
(.f64 y (.f64 x 2))
(pow.f64 (.f64 2 (.f64 y x)) 1)
(+.f64 (.f64 y x) (.f64 y x))
(*.f64 y (+.f64 x x))
(.f64 y (.f64 x 2))

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 x (+.f64 x (+.f64 x (+.f64 y y))))
✓	0.0b	(+.f64 x (+.f64 x (+.f64 y y)))

Compiler

Compiled 28 to 6 computations (78.6% saved)

series3.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite116.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1736×	`rational.json-1`
1736×	`rational.json-2`
1736×	`rational.json-3`
1498×	`rational.json-simplify-35`
1238×	`exponential.json-3`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	8	44
1	55	44
2	125	44
3	271	32
4	600	32
5	1608	32
6	3737	32
7	5504	32
8	7443	32

Stop Event

1×	node limit

Counts

2 → 35

Calls

Call 1

Inputs
(+.f64 x (+.f64 x (+.f64 y y)))
(*.f64 x (+.f64 x (+.f64 x (+.f64 y y))))

Outputs

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

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

simplify501.0ms (7%)

Algorithm

1×	egg-herbie

Rules

3952×	`rational.json-simplify-41`
1962×	`rational.json-simplify-53`
1822×	`rational.json-simplify-35`
1538×	`rational.json-simplify-2`
890×	`exponential.json-simplify-26`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	83	1685
1	192	1337
2	447	1337
3	1599	1337
4	3217	1337
5	3833	1337
6	3948	1337
7	4031	1337
8	4104	1337
9	4176	1337
10	5274	1337
11	5884	1337
12	6025	1337
13	6097	1337
14	6169	1337
15	6241	1337
16	6615	1337
17	6615	1337
18	6615	1337

Stop Event

1×	node limit

Counts

83 → 51

Calls

Call 1

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

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

localize5.0ms (0.1%)

Compiler: Compiled 12 to 4 computations (66.7% saved)

eval12.0ms (0.2%)

Compiler: Compiled 686 to 408 computations (40.5% saved)

prune83.0ms (1.2%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	69	1	70
Fresh	0	0	0
Picked	0	1	1
Done	1	3	4
Total	70	5	75

Error

Counts

75 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(.f64 (+.f64 x y) (.f64 x 2))
✓	21.7b	(*.f64 y (+.f64 x x))
✓	0.0b	(*.f64 x (+.f64 x (+.f64 x (+.f64 y y))))
▶	33.7b	(*.f64 x (+.f64 x x))
✓	0.0b	(.f64 2 (+.f64 (.f64 x x) (*.f64 x y)))

Compiler

Compiled 45 to 27 computations (40% saved)

localize4.0ms (0.1%)

Compiler: Compiled 11 to 4 computations (63.6% saved)

eval0.0ms (0%)

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

prune2.0ms (0%)

Pruning

5 alts after pruning (0 fresh and 5 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	4	4
Total	5	5

Error

Counts

5 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(.f64 (+.f64 x y) (.f64 x 2))
✓	21.7b	(*.f64 y (+.f64 x x))
✓	0.0b	(*.f64 x (+.f64 x (+.f64 x (+.f64 y y))))
✓	33.7b	(*.f64 x (+.f64 x x))
✓	0.0b	(.f64 2 (+.f64 (.f64 x x) (*.f64 x y)))

Compiler

Compiled 45 to 27 computations (40% saved)

regimes20.0ms (0.3%)

Counts

6 → 1

Calls

Call 1

Inputs
(.f64 2 (.f64 y x))
(*.f64 x (+.f64 x x))
(*.f64 y (+.f64 x x))
(.f64 (+.f64 x y) (.f64 x 2))
(.f64 2 (+.f64 (.f64 x x) (*.f64 x y)))
(*.f64 x (+.f64 x (+.f64 x (+.f64 y y))))

Outputs
(.f64 (+.f64 x y) (.f64 x 2))

Calls

4 calls:

5.0ms	y
4.0ms	x
4.0ms	(.f64 2 (+.f64 (.f64 x x) (*.f64 x y)))
4.0ms	(+.f64 (.f64 x x) (.f64 x y))

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`y`
0.0b	1	`(.f64 2 (+.f64 (.f64 x x) (*.f64 x y)))`
0.0b	1	`(+.f64 (.f64 x x) (.f64 x y))`

Compiler

Compiled 68 to 37 computations (45.6% saved)

regimes65.0ms (0.9%)

Accuracy

Total -48.3b remaining (-749%)

Threshold costs -48.3b (-749%)

Counts

3 → 3

Calls

Call 1

Inputs
(.f64 2 (.f64 y x))
(*.f64 x (+.f64 x x))
(*.f64 y (+.f64 x x))

Outputs
(.f64 2 (.f64 y x))
(*.f64 x (+.f64 x x))
(.f64 2 (.f64 y x))

Calls

2 calls:

55.0ms	x
9.0ms	y

Results

Error	Segments	Branch
10.8b	3	`x`
6.4b	3	`y`

Compiler

Compiled 23 to 12 computations (47.8% saved)

bsearch26.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
15.0ms	1.083908027725365e-34	3.872972578518965e-29
11.0ms	-1.5209720977729215e-46	-6.502615982993093e-48

Results

23.0ms

256×

body

256

valid

Compiler

Compiled 272 to 187 computations (31.3% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	89

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs

(*.f64 (+.f64 x y) (*.f64 x 2))

(if (<=.f64 y -1666073364287721/102844034832575377634685573909834406561420991602098741459288064) (*.f64 2 (*.f64 y x)) (if (<=.f64 y 2319277500647185/89202980794122492566142873090593446023921664) (*.f64 x (+.f64 x x)) (*.f64 2 (*.f64 y x))))

(*.f64 2 (*.f64 y x))

Outputs

(*.f64 (+.f64 x y) (*.f64 x 2))

(if (<=.f64 y -1666073364287721/102844034832575377634685573909834406561420991602098741459288064) (*.f64 2 (*.f64 y x)) (if (<=.f64 y 2319277500647185/89202980794122492566142873090593446023921664) (*.f64 x (+.f64 x x)) (*.f64 2 (*.f64 y x))))

(*.f64 2 (*.f64 y x))

Compiler

Compiled 41 to 26 computations (36.6% saved)

soundness227.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

1814×	`rational.json-simplify-35`
1346×	`rational.json-simplify-53`
1020×	`rational.json-simplify-39`
866×	`rational.json-simplify-59`
654×	`rational.json-simplify-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	25
1	14	19
2	22	19
3	43	19
4	198	19
5	1981	19
6	5968	19
7	7845	19

Stop Event

1×	node limit

Compiler

Compiled 48 to 25 computations (47.9% saved)

end83.0ms (1.2%)

Compiler: Compiled 37 to 21 computations (43.2% saved)

Details

analyze324.0ms (4.5%)

sample3.5s (49.5%)

preprocess149.0ms (2.1%)

simplify132.0ms (1.9%)

eval1.0ms (0%)

prune2.0ms (0%)

localize7.0ms (0.1%)

series3.0ms (0%)

rewrite63.0ms (0.9%)

simplify112.0ms (1.6%)

localize6.0ms (0.1%)

series2.0ms (0%)

rewrite121.0ms (1.7%)

simplify682.0ms (9.6%)

eval13.0ms (0.2%)

prune9.0ms (0.1%)

localize4.0ms (0.1%)

series2.0ms (0%)

rewrite289.0ms (4.1%)

simplify515.0ms (7.2%)

localize8.0ms (0.1%)

series3.0ms (0%)

rewrite116.0ms (1.6%)

simplify501.0ms (7%)

localize5.0ms (0.1%)

eval12.0ms (0.2%)

prune83.0ms (1.2%)

localize4.0ms (0.1%)

eval0.0ms (0%)

prune2.0ms (0%)

regimes20.0ms (0.3%)

regimes65.0ms (0.9%)

bsearch26.0ms (0.4%)

simplify2.0ms (0%)

soundness227.0ms (3.2%)

end83.0ms (1.2%)

Profiling