Details

analyze49.0ms (3.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
25%	25%	74.9%	0.1%	0%	0%	0%	5
28.6%	25%	62.4%	0.1%	12.5%	0%	0%	6
33.3%	25%	50%	0.1%	25%	0%	0%	7
45.5%	31.2%	37.5%	0.1%	31.2%	0%	0%	8
61.7%	39%	24.2%	0.1%	36.7%	0%	0%	9
70.1%	42.9%	18.3%	0.1%	38.6%	0%	0%	10
79.9%	47.2%	11.9%	0.1%	40.8%	0%	0%	11
84.5%	49.4%	9.1%	0.1%	41.5%	0%	0%	12

Compiler

Compiled 10 to 6 computations (40% saved)

sample946.0ms (59.7%)

Results

785.0ms	8256×	body	256	valid
148.0ms	330×	body	256	infinite

Bogosity

preprocess118.0ms (7.5%)

Algorithm

2×	egg-herbie

Rules

1086×	`rational.json-simplify-2`
902×	`rational.json-simplify-44`
858×	`rational.json-simplify-39`
810×	`rational.json-simplify-47`
714×	`rational.json-simplify-37`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	38
1	17	38
2	28	38
3	82	38
4	388	38
5	3939	38
6	6307	38
7	7539	38
0	2	2

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs
(-.f64 (.f64 x x) (.f64 y y))
(-.f64 (.f64 y y) (.f64 x x))

Outputs
(-.f64 (.f64 x x) (.f64 y y))
(-.f64 (.f64 y y) (.f64 x x))

Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify115.0ms (7.2%)

Algorithm

1×	egg-herbie

Rules

1086×	`rational.json-simplify-2`
926×	`rational.json-simplify-44`
894×	`rational.json-simplify-37`
826×	`rational.json-simplify-47`
810×	`rational.json-simplify-39`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	19
1	13	19
2	23	19
3	68	19
4	373	19
5	3929	19
6	6257	19
7	7414	19

Stop Event

1×	node limit

Counts

1 → 1

Calls

Call 1

Inputs
(-.f64 (.f64 x x) (.f64 y y))

Outputs
(-.f64 (.f64 x x) (.f64 y y))

eval0.0ms (0%)

Compiler: Compiled 9 to 5 computations (44.4% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(-.f64 (.f64 x x) (.f64 y y))

Compiler

Compiled 9 to 5 computations (44.4% saved)

localize6.0ms (0.4%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 17 to 5 computations (70.6% saved)

series1.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite79.0ms (5%)

Algorithm

1×	batch-egg-rewrite

Rules

2074×	`rational.json-1`
2074×	`rational.json-2`
2074×	`rational.json-3`
1262×	`rational.json-simplify-35`
870×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	19
1	50	19
2	142	19
3	417	19
4	2022	19
5	6686	19

Stop Event

1×	node limit

Counts

1 → 36

Calls

Call 1

Inputs
(-.f64 (.f64 x x) (.f64 y y))

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

Outputs

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

simplify77.0ms (4.9%)

Algorithm

1×	egg-herbie

Rules

974×	`rational.json-simplify-41`
888×	`rational.json-simplify-19`
876×	`rational.json-simplify-40`
778×	`rational.json-simplify-2`
760×	`rational.json-simplify-38`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	87	1338
1	169	1296
2	355	1296
3	1156	1296
4	6037	1152

Stop Event

1×	node limit

Counts

60 → 42

Calls

Call 1

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

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

eval6.0ms (0.4%)

Compiler: Compiled 407 to 157 computations (61.4% saved)

prune6.0ms (0.4%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	41	1	42
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	42	1	43

Error

0.0b

Counts

43 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 9 to 5 computations (44.4% saved)

localize6.0ms (0.4%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 17 to 5 computations (70.6% saved)

series2.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite70.0ms (4.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1678×	`exponential.json-3`
1678×	`rational.json-1`
1678×	`rational.json-2`
1678×	`rational.json-4`
1678×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	19
1	46	19
2	107	19
3	244	19
4	476	19
5	1258	19
6	4654	19

Stop Event

1×	node limit

Counts

1 → 18

Calls

Call 1

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

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

Outputs

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

simplify56.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

1370×	`rational.json-simplify-40`
1186×	`rational.json-simplify-46`
1114×	`rational.json-simplify-49`
1088×	`rational.json-simplify-35`
1010×	`rational.json-simplify-43`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	67	1220
1	153	1136
2	278	1136
3	788	1130
4	3543	1130

Stop Event

1×	node limit

Counts

42 → 51

Calls

Call 1

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

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

eval11.0ms (0.7%)

Compiler: Compiled 620 to 317 computations (48.9% saved)

prune6.0ms (0.4%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	51	0	51
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	51	1	52

Error

0.0b

Counts

52 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 9 to 5 computations (44.4% saved)

regimes16.0ms (1%)

Accuracy

Total -0.0b remaining (-200%)

Threshold costs -0.0b (-200%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

5 calls:

4.0ms	(*.f64 x x)
3.0ms	x
3.0ms	(-.f64 (.f64 x x) (.f64 y y))
3.0ms	y
2.0ms	(*.f64 y y)

Results

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

Compiler

Compiled 41 to 23 computations (43.9% saved)

simplify1.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	19

Stop Event

1×	done
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 9 to 5 computations (44.4% saved)

soundness0.0ms (0%)

end12.0ms (0.8%)

Compiler: Compiled 9 to 5 computations (44.4% saved)

Details

analyze49.0ms (3.1%)

sample946.0ms (59.7%)

preprocess118.0ms (7.5%)

simplify115.0ms (7.2%)

eval0.0ms (0%)

prune1.0ms (0%)

localize6.0ms (0.4%)

series1.0ms (0.1%)

rewrite79.0ms (5%)

simplify77.0ms (4.9%)

eval6.0ms (0.4%)

prune6.0ms (0.4%)

localize6.0ms (0.4%)

series2.0ms (0.1%)

rewrite70.0ms (4.4%)

simplify56.0ms (3.6%)

eval11.0ms (0.7%)

prune6.0ms (0.4%)

regimes16.0ms (1%)

simplify1.0ms (0.1%)

soundness0.0ms (0%)

end12.0ms (0.8%)

Profiling