Details

analyze61.0ms (2.3%)

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
36.4%	25%	43.7%	0.1%	31.2%	0%	0%	7
50%	31.2%	31.2%	0.1%	37.5%	0%	0%	8
62.5%	39%	23.4%	0.1%	37.5%	0%	0%	9
72.4%	42.9%	16.4%	0.1%	40.6%	0%	0%	10
79.6%	47.2%	12.1%	0.1%	40.6%	0%	0%	11
85.5%	49.4%	8.4%	0.1%	42.1%	0%	0%	12

Compiler

Compiled 14 to 9 computations (35.7% saved)

sample847.0ms (31.9%)

Results

812.0ms	8256×	body	256	valid
21.0ms	229×	body	256	infinite

Bogosity

preprocess8.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

26×	`rational.json-simplify-1`
12×	`rational.json-simplify-2`
10×	`rational.json-simplify-41`
8×	`rational.json-simplify-54`
8×	`rational.json-simplify-55`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	50
1	26	50
2	42	50
3	54	50
4	62	50
5	62	50
0	2	2

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

simplify19.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

14×	`rational.json-simplify-1`
8×	`rational.json-simplify-2`
8×	`rational.json-simplify-54`
8×	`rational.json-simplify-55`
4×	`rational.json-simplify-73`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	25
1	18	25
2	28	25
3	37	25
4	45	25
5	45	25

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 22 to 12 computations (45.5% saved)

prune1.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.0b

Counts

3 → 2

Alt Table

Click to see full alt table

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

Compiler

Compiled 24 to 15 computations (37.5% saved)

localize10.0ms (0.4%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 25 to 13 computations (48% saved)

series3.0ms (0.1%)

Counts

2 → 36

Calls

9 calls:

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

rewrite89.0ms (3.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1936×	`rational.json-5`
1934×	`rational.json-1`
1934×	`rational.json-2`
1934×	`rational.json-4`
1934×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	38
1	78	38
2	250	38
3	905	38
4	3766	38

Stop Event

1×	node limit

Counts

2 → 17

Calls

Call 1

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

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

Outputs

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

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

simplify159.0ms (6%)

Algorithm

1×	egg-herbie

Rules

1328×	`rational.json-simplify-47`
1114×	`rational.json-simplify-49`
958×	`rational.json-simplify-2`
800×	`rational.json-simplify-111`
790×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	1061
1	86	1061
2	265	1061
3	1388	1061
4	5437	1061

Stop Event

1×	node limit

Counts

53 → 29

Calls

Call 1

Inputs
(*.f64 2 x)
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(pow.f64 y 2)
(+.f64 (*.f64 2 x) (pow.f64 y 2))
(+.f64 (*.f64 2 x) (+.f64 (pow.f64 y 2) (pow.f64 x 2)))
(+.f64 (*.f64 2 x) (+.f64 (pow.f64 y 2) (pow.f64 x 2)))
(pow.f64 x 2)
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(+.f64 (*.f64 2 x) (+.f64 (pow.f64 y 2) (pow.f64 x 2)))
(+.f64 (*.f64 2 x) (+.f64 (pow.f64 y 2) (pow.f64 x 2)))
(pow.f64 x 2)
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(+.f64 (*.f64 2 x) (+.f64 (pow.f64 y 2) (pow.f64 x 2)))
(+.f64 (*.f64 2 x) (+.f64 (pow.f64 y 2) (pow.f64 x 2)))
(*.f64 (+.f64 2 x) x)
(+.f64 (pow.f64 y 2) (*.f64 (+.f64 2 x) x))
(+.f64 (pow.f64 y 2) (*.f64 (+.f64 2 x) x))
(+.f64 (pow.f64 y 2) (*.f64 (+.f64 2 x) x))
(pow.f64 y 2)
(+.f64 (pow.f64 y 2) (*.f64 (+.f64 2 x) x))
(+.f64 (pow.f64 y 2) (*.f64 (+.f64 2 x) x))
(+.f64 (pow.f64 y 2) (*.f64 (+.f64 2 x) x))
(pow.f64 y 2)
(+.f64 (pow.f64 y 2) (*.f64 (+.f64 2 x) x))
(+.f64 (pow.f64 y 2) (*.f64 (+.f64 2 x) x))
(+.f64 (pow.f64 y 2) (*.f64 (+.f64 2 x) x))
(+.f64 (*.f64 x (+.f64 x 2)) 0)
(+.f64 0 (*.f64 x (+.f64 x 2)))
(-.f64 (*.f64 x (+.f64 x 2)) 0)
(/.f64 (*.f64 x (+.f64 x 2)) 1)
(/.f64 (.f64 x (+.f64 x 2)) (/.f64 (.f64 x (+.f64 x 2)) (*.f64 x (+.f64 x 2))))
(pow.f64 (*.f64 x (+.f64 x 2)) 1)
(-.f64 (+.f64 (.f64 x (+.f64 x 2)) (.f64 y y)) 0)
(.f64 (+.f64 (.f64 x (+.f64 x 2)) (*.f64 y y)) 1)
(.f64 (+.f64 (.f64 x (+.f64 x 2)) (.f64 y y)) (/.f64 (+.f64 (.f64 x (+.f64 x 2)) (.f64 y y)) (+.f64 (.f64 x (+.f64 x 2)) (*.f64 y y))))
(.f64 1 (+.f64 (.f64 x (+.f64 x 2)) (*.f64 y y)))
(.f64 (.f64 (+.f64 (.f64 x (+.f64 x 2)) (.f64 y y)) (+.f64 (.f64 x (+.f64 x 2)) (.f64 y y))) (/.f64 1 (+.f64 (.f64 x (+.f64 x 2)) (.f64 y y))))
(.f64 (.f64 (+.f64 (.f64 x (+.f64 x 2)) (.f64 y y)) (+.f64 (.f64 x (+.f64 x 2)) (.f64 y y))) (.f64 (/.f64 1 (+.f64 (.f64 x (+.f64 x 2)) (*.f64 y y))) 1))
(.f64 (/.f64 1 (+.f64 (.f64 x (+.f64 x 2)) (.f64 y y))) (.f64 (+.f64 (.f64 x (+.f64 x 2)) (.f64 y y)) (+.f64 (.f64 x (+.f64 x 2)) (.f64 y y))))
(.f64 (.f64 (.f64 (+.f64 (.f64 x (+.f64 x 2)) (.f64 y y)) (+.f64 (.f64 x (+.f64 x 2)) (.f64 y y))) (.f64 (+.f64 (.f64 x (+.f64 x 2)) (.f64 y y)) (+.f64 (.f64 x (+.f64 x 2)) (.f64 y y)))) (/.f64 (/.f64 1 (+.f64 (.f64 x (+.f64 x 2)) (.f64 y y))) (.f64 (+.f64 (.f64 x (+.f64 x 2)) (.f64 y y)) (+.f64 (.f64 x (+.f64 x 2)) (*.f64 y y)))))
(/.f64 (+.f64 (.f64 x (+.f64 x 2)) (.f64 y y)) 1)
(/.f64 (+.f64 (.f64 x (+.f64 x 2)) (.f64 y y)) (/.f64 (+.f64 (.f64 x (+.f64 x 2)) (.f64 y y)) (+.f64 (.f64 x (+.f64 x 2)) (.f64 y y))))
(pow.f64 (+.f64 (.f64 x (+.f64 x 2)) (.f64 y y)) 1)

Outputs
(*.f64 2 x)
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(pow.f64 y 2)
(+.f64 (*.f64 2 x) (pow.f64 y 2))
(+.f64 (*.f64 2 x) (+.f64 (pow.f64 y 2) (pow.f64 x 2)))
(+.f64 (*.f64 2 x) (+.f64 (pow.f64 x 2) (pow.f64 y 2)))
(+.f64 (*.f64 2 x) (+.f64 (pow.f64 y 2) (pow.f64 x 2)))
(+.f64 (*.f64 2 x) (+.f64 (pow.f64 x 2) (pow.f64 y 2)))
(pow.f64 x 2)
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(+.f64 (*.f64 2 x) (+.f64 (pow.f64 y 2) (pow.f64 x 2)))
(+.f64 (*.f64 2 x) (+.f64 (pow.f64 x 2) (pow.f64 y 2)))
(+.f64 (*.f64 2 x) (+.f64 (pow.f64 y 2) (pow.f64 x 2)))
(+.f64 (*.f64 2 x) (+.f64 (pow.f64 x 2) (pow.f64 y 2)))
(pow.f64 x 2)
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(+.f64 (*.f64 2 x) (+.f64 (pow.f64 y 2) (pow.f64 x 2)))
(+.f64 (*.f64 2 x) (+.f64 (pow.f64 x 2) (pow.f64 y 2)))
(+.f64 (*.f64 2 x) (+.f64 (pow.f64 y 2) (pow.f64 x 2)))
(+.f64 (*.f64 2 x) (+.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 (+.f64 2 x) x)
(*.f64 x (+.f64 2 x))
(+.f64 (pow.f64 y 2) (*.f64 (+.f64 2 x) x))
(+.f64 (pow.f64 y 2) (*.f64 x (+.f64 2 x)))
(+.f64 (pow.f64 y 2) (*.f64 (+.f64 2 x) x))
(+.f64 (pow.f64 y 2) (*.f64 x (+.f64 2 x)))
(+.f64 (pow.f64 y 2) (*.f64 (+.f64 2 x) x))
(+.f64 (pow.f64 y 2) (*.f64 x (+.f64 2 x)))
(pow.f64 y 2)
(+.f64 (pow.f64 y 2) (*.f64 (+.f64 2 x) x))
(+.f64 (pow.f64 y 2) (*.f64 x (+.f64 2 x)))
(+.f64 (pow.f64 y 2) (*.f64 (+.f64 2 x) x))
(+.f64 (pow.f64 y 2) (*.f64 x (+.f64 2 x)))
(+.f64 (pow.f64 y 2) (*.f64 (+.f64 2 x) x))
(+.f64 (pow.f64 y 2) (*.f64 x (+.f64 2 x)))
(pow.f64 y 2)
(+.f64 (pow.f64 y 2) (*.f64 (+.f64 2 x) x))
(+.f64 (pow.f64 y 2) (*.f64 x (+.f64 2 x)))
(+.f64 (pow.f64 y 2) (*.f64 (+.f64 2 x) x))
(+.f64 (pow.f64 y 2) (*.f64 x (+.f64 2 x)))
(+.f64 (pow.f64 y 2) (*.f64 (+.f64 2 x) x))
(+.f64 (pow.f64 y 2) (*.f64 x (+.f64 2 x)))
(+.f64 (*.f64 x (+.f64 x 2)) 0)
(*.f64 x (+.f64 2 x))
(+.f64 0 (*.f64 x (+.f64 x 2)))
(*.f64 x (+.f64 2 x))
(-.f64 (*.f64 x (+.f64 x 2)) 0)
(*.f64 x (+.f64 2 x))
(/.f64 (*.f64 x (+.f64 x 2)) 1)
(*.f64 x (+.f64 2 x))
(/.f64 (.f64 x (+.f64 x 2)) (/.f64 (.f64 x (+.f64 x 2)) (*.f64 x (+.f64 x 2))))
(*.f64 x (+.f64 2 x))
(pow.f64 (*.f64 x (+.f64 x 2)) 1)
(*.f64 x (+.f64 2 x))
(-.f64 (+.f64 (.f64 x (+.f64 x 2)) (.f64 y y)) 0)
(+.f64 (.f64 x (+.f64 2 x)) (.f64 y y))
(.f64 (+.f64 (.f64 x (+.f64 x 2)) (*.f64 y y)) 1)
(+.f64 (.f64 x (+.f64 2 x)) (.f64 y y))
(.f64 (+.f64 (.f64 x (+.f64 x 2)) (.f64 y y)) (/.f64 (+.f64 (.f64 x (+.f64 x 2)) (.f64 y y)) (+.f64 (.f64 x (+.f64 x 2)) (*.f64 y y))))
(+.f64 (.f64 x (+.f64 2 x)) (.f64 y y))
(.f64 1 (+.f64 (.f64 x (+.f64 x 2)) (*.f64 y y)))
(+.f64 (.f64 x (+.f64 2 x)) (.f64 y y))
(.f64 (.f64 (+.f64 (.f64 x (+.f64 x 2)) (.f64 y y)) (+.f64 (.f64 x (+.f64 x 2)) (.f64 y y))) (/.f64 1 (+.f64 (.f64 x (+.f64 x 2)) (.f64 y y))))
(+.f64 (.f64 x (+.f64 2 x)) (.f64 y y))
(.f64 (.f64 (+.f64 (.f64 x (+.f64 x 2)) (.f64 y y)) (+.f64 (.f64 x (+.f64 x 2)) (.f64 y y))) (.f64 (/.f64 1 (+.f64 (.f64 x (+.f64 x 2)) (*.f64 y y))) 1))
(+.f64 (.f64 x (+.f64 2 x)) (.f64 y y))
(.f64 (/.f64 1 (+.f64 (.f64 x (+.f64 x 2)) (.f64 y y))) (.f64 (+.f64 (.f64 x (+.f64 x 2)) (.f64 y y)) (+.f64 (.f64 x (+.f64 x 2)) (.f64 y y))))
(+.f64 (.f64 x (+.f64 2 x)) (.f64 y y))
(.f64 (.f64 (.f64 (+.f64 (.f64 x (+.f64 x 2)) (.f64 y y)) (+.f64 (.f64 x (+.f64 x 2)) (.f64 y y))) (.f64 (+.f64 (.f64 x (+.f64 x 2)) (.f64 y y)) (+.f64 (.f64 x (+.f64 x 2)) (.f64 y y)))) (/.f64 (/.f64 1 (+.f64 (.f64 x (+.f64 x 2)) (.f64 y y))) (.f64 (+.f64 (.f64 x (+.f64 x 2)) (.f64 y y)) (+.f64 (.f64 x (+.f64 x 2)) (*.f64 y y)))))
(+.f64 (.f64 x (+.f64 2 x)) (.f64 y y))
(/.f64 (+.f64 (.f64 x (+.f64 x 2)) (.f64 y y)) 1)
(+.f64 (.f64 x (+.f64 2 x)) (.f64 y y))
(/.f64 (+.f64 (.f64 x (+.f64 x 2)) (.f64 y y)) (/.f64 (+.f64 (.f64 x (+.f64 x 2)) (.f64 y y)) (+.f64 (.f64 x (+.f64 x 2)) (.f64 y y))))
(+.f64 (.f64 x (+.f64 2 x)) (.f64 y y))
(pow.f64 (+.f64 (.f64 x (+.f64 x 2)) (.f64 y y)) 1)
(+.f64 (.f64 x (+.f64 2 x)) (.f64 y y))

localize13.0ms (0.5%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 32 to 14 computations (56.3% saved)

series2.0ms (0.1%)

Counts

2 → 36

Calls

9 calls:

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

rewrite122.0ms (4.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1084×	`rational.json-simplify-49`
840×	`rational.json-simplify-47`
704×	`rational.json-simplify-54`
632×	`rational.json-simplify-50`
608×	`rational.json-simplify-58`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	38
1	89	38
2	300	38
3	1126	38
4	4704	38

Stop Event

1×	node limit

Counts

2 → 69

Calls

Call 1

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

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

Outputs

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

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

simplify196.0ms (7.4%)

Algorithm

1×	egg-herbie

Rules

938×	`rational.json-simplify-2`
884×	`rational.json-simplify-54`
876×	`rational.json-simplify-49`
646×	`rational.json-simplify-41`
604×	`rational.json-simplify-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	162	2455
1	405	2283
2	1070	2283
3	2935	2169
4	6607	2169

Stop Event

1×	node limit

Counts

105 → 96

Calls

Call 1

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

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

eval39.0ms (1.5%)

Compiler: Compiled 2244 to 1170 computations (47.9% saved)

prune19.0ms (0.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	123	2	125
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	123	4	127

Error

0.0b

Counts

127 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(+.f64 (+.f64 (.f64 x 2) (.f64 x x)) (*.f64 y y))
▶	18.0b	(+.f64 (+.f64 x x) (*.f64 y y))
✓	0.0b	(+.f64 (.f64 x (+.f64 x 2)) (.f64 y y))
▶	23.3b	(*.f64 (+.f64 2 x) x)

Compiler

Compiled 40 to 25 computations (37.5% saved)

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 12 to 8 computations (33.3% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite107.0ms (4%)

Algorithm

1×	batch-egg-rewrite

Rules

1174×	`rational.json-5`
1172×	`exponential.json-3`
1172×	`rational.json-1`
1172×	`rational.json-2`
1172×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	51	13
2	162	13
3	575	13
4	2258	13

Stop Event

1×	node limit

Counts

1 → 9

Calls

Call 1

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

Outputs

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

simplify210.0ms (7.9%)

Algorithm

1×	egg-herbie

Rules

1380×	`rational.json-simplify-79`
1270×	`rational.json-simplify-43`
1112×	`rational.json-simplify-104`
946×	`rational.json-simplify-76`
822×	`rational.json-simplify-47`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	345
1	56	345
2	106	345
3	263	345
4	799	345
5	3282	345
6	5008	345
7	6526	345

Stop Event

1×	node limit

Counts

21 → 15

Calls

Call 1

Inputs
(*.f64 2 x)
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(+.f64 (*.f64 x (+.f64 2 x)) 0)
(+.f64 0 (*.f64 x (+.f64 2 x)))
(-.f64 (*.f64 x (+.f64 2 x)) 0)
(-.f64 0 (neg.f64 (*.f64 x (+.f64 2 x))))
(-.f64 (-.f64 0 (-.f64 -1 (*.f64 x (+.f64 2 x)))) 1)
(/.f64 (*.f64 x (+.f64 2 x)) 1)
(/.f64 (.f64 x (+.f64 2 x)) (/.f64 (.f64 x (-.f64 -2 x)) (*.f64 x (-.f64 -2 x))))
(pow.f64 (*.f64 x (+.f64 2 x)) 1)
(neg.f64 (neg.f64 (*.f64 x (+.f64 2 x))))

Outputs
(*.f64 2 x)
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(+.f64 (*.f64 x (+.f64 2 x)) 0)
(*.f64 x (+.f64 2 x))
(+.f64 0 (*.f64 x (+.f64 2 x)))
(*.f64 x (+.f64 2 x))
(-.f64 (*.f64 x (+.f64 2 x)) 0)
(*.f64 x (+.f64 2 x))
(-.f64 0 (neg.f64 (*.f64 x (+.f64 2 x))))
(*.f64 x (+.f64 2 x))
(-.f64 (-.f64 0 (-.f64 -1 (*.f64 x (+.f64 2 x)))) 1)
(*.f64 x (+.f64 2 x))
(/.f64 (*.f64 x (+.f64 2 x)) 1)
(*.f64 x (+.f64 2 x))
(/.f64 (.f64 x (+.f64 2 x)) (/.f64 (.f64 x (-.f64 -2 x)) (*.f64 x (-.f64 -2 x))))
(/.f64 (.f64 x (+.f64 2 x)) (/.f64 (.f64 x (+.f64 2 x)) (*.f64 x (+.f64 2 x))))
(.f64 (.f64 x (+.f64 2 x)) (/.f64 (.f64 x (+.f64 2 x)) (.f64 x (+.f64 2 x))))
(pow.f64 (*.f64 x (+.f64 2 x)) 1)
(*.f64 x (+.f64 2 x))
(neg.f64 (neg.f64 (*.f64 x (+.f64 2 x))))
(*.f64 x (+.f64 2 x))

localize7.0ms (0.3%)

Compiler: Compiled 17 to 5 computations (70.6% saved)

eval7.0ms (0.2%)

Compiler: Compiled 132 to 92 computations (30.3% saved)

prune5.0ms (0.2%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	14	1	15
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	14	5	19

Error

0.0b

Counts

19 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(+.f64 (+.f64 (.f64 x 2) (.f64 x x)) (*.f64 y y))
✓	18.0b	(+.f64 (+.f64 x x) (*.f64 y y))
✓	0.0b	(+.f64 (.f64 x (+.f64 x 2)) (.f64 y y))
✓	23.3b	(*.f64 (+.f64 2 x) x)
▶	41.3b	(*.f64 2 x)

Compiler

Compiled 45 to 29 computations (35.6% saved)

localize3.0ms (0.1%)

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

eval0.0ms (0%)

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

prune3.0ms (0.1%)

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

0.0b

Counts

5 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(+.f64 (+.f64 (.f64 x 2) (.f64 x x)) (*.f64 y y))
✓	18.0b	(+.f64 (+.f64 x x) (*.f64 y y))
✓	0.0b	(+.f64 (.f64 x (+.f64 x 2)) (.f64 y y))
✓	23.3b	(*.f64 (+.f64 2 x) x)
✓	41.3b	(*.f64 2 x)

Compiler

Compiled 45 to 29 computations (35.6% saved)

regimes30.0ms (1.1%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

5 calls:

7.0ms	y
6.0ms	(+.f64 (.f64 x 2) (.f64 x x))
5.0ms	x
5.0ms	(*.f64 y y)
5.0ms	(+.f64 (+.f64 (.f64 x 2) (.f64 x x)) (*.f64 y y))

Results

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

Compiler

Compiled 70 to 40 computations (42.9% saved)

regimes236.0ms (8.9%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

3 calls:

156.0ms	(*.f64 y y)
50.0ms	y
28.0ms	x

Results

Error	Segments	Branch
3.9b	3	`x`
7.0b	5	`y`
7.2b	4	`(*.f64 y y)`

Compiler

Compiled 28 to 17 computations (39.3% saved)

bsearch172.0ms (6.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
32.0ms	2.6601895447352484	175.5070474045394
140.0ms	-2.4254045744205875e-15	-4.811357812330189e-34

Results

165.0ms

272×

body

256

valid

Compiler

Compiled 324 to 216 computations (33.3% saved)

regimes15.0ms (0.6%)

Accuracy

Total -18.0b remaining (-77.4%)

Threshold costs -18.0b (-77.4%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

2 calls:

7.0ms	x
6.0ms	y

Results

Error	Segments	Branch
23.3b	1	`x`
23.3b	1	`y`

Compiler

Compiled 16 to 11 computations (31.3% saved)

simplify8.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	108

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(+.f64 (.f64 x (+.f64 x 2)) (.f64 y y))
(if (<=.f64 x -6084722881095501/2535301200456458802993406410752) (.f64 (+.f64 2 x) x) (if (<=.f64 x 9/2) (+.f64 (+.f64 x x) (.f64 y y)) (*.f64 (+.f64 2 x) x)))
(*.f64 (+.f64 2 x) x)
(*.f64 2 x)

Outputs
(+.f64 (.f64 x (+.f64 x 2)) (.f64 y y))
(if (<=.f64 x -6084722881095501/2535301200456458802993406410752) (.f64 (+.f64 2 x) x) (if (<=.f64 x 9/2) (+.f64 (+.f64 x x) (.f64 y y)) (*.f64 (+.f64 2 x) x)))
(*.f64 (+.f64 2 x) x)
(*.f64 2 x)

Compiler

Compiled 50 to 33 computations (34% saved)

soundness119.0ms (4.5%)

Algorithm

1×	egg-herbie

Rules

14×	`rational.json-simplify-1`
8×	`rational.json-simplify-2`
8×	`rational.json-simplify-54`
8×	`rational.json-simplify-55`
4×	`rational.json-simplify-73`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	25
1	18	25
2	28	25
3	37	25
4	45	25
5	45	25

Stop Event

1×

saturated

Compiler

Compiled 22 to 12 computations (45.5% saved)

end141.0ms (5.3%)

Compiler: Compiled 44 to 26 computations (40.9% saved)

Details

analyze61.0ms (2.3%)

sample847.0ms (31.9%)

preprocess8.0ms (0.3%)

simplify19.0ms (0.7%)

eval1.0ms (0%)

prune1.0ms (0.1%)

localize10.0ms (0.4%)

series3.0ms (0.1%)

rewrite89.0ms (3.4%)

simplify159.0ms (6%)

localize13.0ms (0.5%)

series2.0ms (0.1%)

rewrite122.0ms (4.6%)

simplify196.0ms (7.4%)

eval39.0ms (1.5%)

prune19.0ms (0.7%)

localize7.0ms (0.2%)

series1.0ms (0%)

rewrite107.0ms (4%)

simplify210.0ms (7.9%)

localize7.0ms (0.3%)

eval7.0ms (0.2%)

prune5.0ms (0.2%)

localize3.0ms (0.1%)

eval0.0ms (0%)

prune3.0ms (0.1%)

regimes30.0ms (1.1%)

regimes236.0ms (8.9%)

bsearch172.0ms (6.5%)

regimes15.0ms (0.6%)

simplify8.0ms (0.3%)

soundness119.0ms (4.5%)

end141.0ms (5.3%)

Profiling