Details

analyze53.0ms (3.4%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
25%	25%	74.9%	0.1%	0%	0%	0%	5
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)

sample747.0ms (48.1%)

Results

706.0ms	8256×	body	256	valid
29.0ms	326×	body	256	infinite

Bogosity

preprocess130.0ms (8.4%)

Algorithm

2×	egg-herbie

Rules

1348×	`associate-+r-`
1296×	`fma-def`
1120×	`associate--l+`
1096×	`associate-+l-`
1086×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	38
1	28	38
2	49	38
3	103	38
4	253	38
5	921	38
6	3015	38
7	4475	38
8	6053	38
9	6608	38
10	6721	38
11	6835	38
12	6915	38
13	6915	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)

simplify144.0ms (9.3%)

Algorithm

1×	egg-herbie

Rules

1420×	`fma-def`
1404×	`distribute-lft-out`
1070×	`*-commutative`
982×	`+-commutative`
970×	`associate-+r-`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	19
1	18	19
2	30	19
3	58	19
4	131	19
5	363	19
6	1010	19
7	2028	19
8	4473	19
9	6300	19
10	7278	19
11	7602	19
12	7832	19
13	7946	19
14	7946	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	x	@	-inf	(-.f64 (.f64 x x) (.f64 y y))

rewrite55.0ms (3.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1700×	`add-sqr-sqrt`
1680×	`*-un-lft-identity`
1570×	`add-cube-cbrt`
1558×	`add-cbrt-cube`
168×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	19
1	159	19
2	2247	19

Stop Event

1×	node limit

Counts

1 → 48

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 x x) (+.f64 (.f64 y (neg.f64 y)) (fma.f64 (neg.f64 y) y (.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x x) (.f64 (.f64 y (neg.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 x x) (.f64 y y)) (fma.f64 (neg.f64 y) y (.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 x x) (.f64 y y)) (+.f64 (fma.f64 (neg.f64 y) y (.f64 y y)) (fma.f64 (neg.f64 y) y (.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 x x) (.f64 y y)) (.f64 (fma.f64 (neg.f64 y) y (.f64 y y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 x x) (.f64 y y)) (fma.f64 (.f64 y (neg.f64 y)) 1 (.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 x x) (.f64 y y)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (pow.f64 y 4)) (.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 (fma.f64 (neg.f64 y) y (.f64 y y)) (-.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 1 (-.f64 (.f64 x x) (.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (-.f64 (.f64 x x) (.f64 y y))) (sqrt.f64 (-.f64 (.f64 x x) (.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (-.f64 (.f64 x x) (.f64 y y))) (cbrt.f64 (pow.f64 (-.f64 (.f64 x x) (.f64 y y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 x x) (.f64 y y)) 2)) (cbrt.f64 (-.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 (-.f64 (pow.f64 x 4) (pow.f64 y 4)) (/.f64 1 (fma.f64 x x (.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 x 6) (pow.f64 y 6)) (/.f64 1 (+.f64 (pow.f64 x 4) (+.f64 (pow.f64 y 4) (pow.f64 (.f64 x y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (.f64 y y)) (-.f64 (pow.f64 x 4) (pow.f64 y 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 x 4) (+.f64 (pow.f64 y 4) (pow.f64 (.f64 x y) 2))) (-.f64 (pow.f64 x 6) (pow.f64 y 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 4) (pow.f64 y 4)) (fma.f64 x x (.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 6) (pow.f64 y 6)) (+.f64 (pow.f64 x 4) (+.f64 (pow.f64 y 4) (pow.f64 (.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 4) (.f64 (.f64 y (neg.f64 y)) (.f64 y (neg.f64 y)))) (-.f64 (.f64 x x) (.f64 y (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (-.f64 (.f64 x x) (.f64 y y)) 2) (.f64 (fma.f64 (neg.f64 y) y (.f64 y y)) (fma.f64 (neg.f64 y) y (.f64 y y)))) (-.f64 (-.f64 (.f64 x x) (.f64 y y)) (fma.f64 (neg.f64 y) y (.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 6) (pow.f64 (.f64 y (neg.f64 y)) 3)) (+.f64 (pow.f64 x 4) (-.f64 (.f64 (.f64 y (neg.f64 y)) (.f64 y (neg.f64 y))) (.f64 (.f64 x x) (.f64 y (neg.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (-.f64 (.f64 x x) (.f64 y y)) 3) (pow.f64 (fma.f64 (neg.f64 y) y (.f64 y y)) 3)) (+.f64 (pow.f64 (-.f64 (.f64 x x) (.f64 y y)) 2) (-.f64 (.f64 (fma.f64 (neg.f64 y) y (.f64 y y)) (fma.f64 (neg.f64 y) y (.f64 y y))) (.f64 (-.f64 (.f64 x x) (.f64 y y)) (fma.f64 (neg.f64 y) y (.f64 y y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x 4) (pow.f64 y 4))) (neg.f64 (fma.f64 x x (.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x 6) (pow.f64 y 6))) (neg.f64 (+.f64 (pow.f64 x 4) (+.f64 (pow.f64 y 4) (pow.f64 (.f64 x y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (.f64 x x) (.f64 y y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (.f64 x x) (.f64 y y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (.f64 x x) (.f64 y y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (.f64 x x) (.f64 y y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (.f64 x x) (.f64 y y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 x y)) (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (.f64 x x) (.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (.f64 x x) (.f64 y y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (.f64 x x) (.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (.f64 x x) (.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (-.f64 (.f64 x x) (.f64 y y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (.f64 x x) (.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x x (.f64 y (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 x x) (.f64 y (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 (.f64 x x) (.f64 y y)) (fma.f64 (neg.f64 y) y (.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 (.f64 x x) (.f64 y y))) (sqrt.f64 (-.f64 (.f64 x x) (.f64 y y))) (fma.f64 (neg.f64 y) y (.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 x x) (.f64 y y)) 2)) (cbrt.f64 (-.f64 (.f64 x x) (.f64 y y))) (fma.f64 (neg.f64 y) y (.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (.f64 x x)) (.f64 y (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x y) (-.f64 x y) (fma.f64 (neg.f64 y) y (.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 x x) (+.f64 (*.f64 y (neg.f64 y)) (fma.f64 (neg.f64 y) y (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x x) (*.f64 (*.f64 y (neg.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (fma.f64 (neg.f64 y) y (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (+.f64 (fma.f64 (neg.f64 y) y (*.f64 y y)) (fma.f64 (neg.f64 y) y (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (fma.f64 (neg.f64 y) y (*.f64 y y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (fma.f64 (*.f64 y (neg.f64 y)) 1 (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (pow.f64 y 4)) (*.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 (fma.f64 (neg.f64 y) y (*.f64 y y)) (-.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 1 (-.f64 (*.f64 x x) (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (*.f64 x x) (*.f64 y y))) (sqrt.f64 (-.f64 (*.f64 x x) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (*.f64 x x) (*.f64 y y))) (cbrt.f64 (pow.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 2)) (cbrt.f64 (-.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 (-.f64 (pow.f64 x 4) (pow.f64 y 4)) (/.f64 1 (fma.f64 x x (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x 6) (pow.f64 y 6)) (/.f64 1 (+.f64 (pow.f64 x 4) (+.f64 (pow.f64 y 4) (pow.f64 (*.f64 x y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 y y)) (-.f64 (pow.f64 x 4) (pow.f64 y 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 x 4) (+.f64 (pow.f64 y 4) (pow.f64 (*.f64 x y) 2))) (-.f64 (pow.f64 x 6) (pow.f64 y 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 4) (pow.f64 y 4)) (fma.f64 x x (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 6) (pow.f64 y 6)) (+.f64 (pow.f64 x 4) (+.f64 (pow.f64 y 4) (pow.f64 (*.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 4) (*.f64 (*.f64 y (neg.f64 y)) (*.f64 y (neg.f64 y)))) (-.f64 (*.f64 x x) (*.f64 y (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 2) (*.f64 (fma.f64 (neg.f64 y) y (*.f64 y y)) (fma.f64 (neg.f64 y) y (*.f64 y y)))) (-.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (fma.f64 (neg.f64 y) y (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 6) (pow.f64 (*.f64 y (neg.f64 y)) 3)) (+.f64 (pow.f64 x 4) (-.f64 (*.f64 (*.f64 y (neg.f64 y)) (*.f64 y (neg.f64 y))) (*.f64 (*.f64 x x) (*.f64 y (neg.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 3) (pow.f64 (fma.f64 (neg.f64 y) y (*.f64 y y)) 3)) (+.f64 (pow.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 2) (-.f64 (*.f64 (fma.f64 (neg.f64 y) y (*.f64 y y)) (fma.f64 (neg.f64 y) y (*.f64 y y))) (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (fma.f64 (neg.f64 y) y (*.f64 y y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x 4) (pow.f64 y 4))) (neg.f64 (fma.f64 x x (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x 6) (pow.f64 y 6))) (neg.f64 (+.f64 (pow.f64 x 4) (+.f64 (pow.f64 y 4) (pow.f64 (*.f64 x y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (*.f64 x x) (*.f64 y y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) (*.f64 y y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 x y)) (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (*.f64 x x) (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (*.f64 x x) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (*.f64 x x) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 x x) (*.f64 y y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (*.f64 x x) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x x (*.f64 y (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x x) (*.f64 y (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 (*.f64 x x) (*.f64 y y)) (fma.f64 (neg.f64 y) y (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 (*.f64 x x) (*.f64 y y))) (sqrt.f64 (-.f64 (*.f64 x x) (*.f64 y y))) (fma.f64 (neg.f64 y) y (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 2)) (cbrt.f64 (-.f64 (*.f64 x x) (*.f64 y y))) (fma.f64 (neg.f64 y) y (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (*.f64 x x)) (*.f64 y (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x y) (-.f64 x y) (fma.f64 (neg.f64 y) y (*.f64 y y)))))))

simplify70.0ms (4.5%)

Algorithm

1×	egg-herbie

Rules

1272×	`fma-def`
1110×	`+-commutative`
758×	`distribute-lft-in`
680×	`distribute-rgt-in`
498×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	132	2116
1	352	2002
2	1670	1848
3	7814	1848

Stop Event

1×	node limit

Counts

72 → 70

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 x x) (+.f64 (.f64 y (neg.f64 y)) (fma.f64 (neg.f64 y) y (*.f64 y y))))
(+.f64 (.f64 x x) (.f64 (*.f64 y (neg.f64 y)) 1))
(+.f64 (-.f64 (.f64 x x) (.f64 y y)) (fma.f64 (neg.f64 y) y (*.f64 y y)))
(+.f64 (-.f64 (.f64 x x) (.f64 y y)) (+.f64 (fma.f64 (neg.f64 y) y (.f64 y y)) (fma.f64 (neg.f64 y) y (.f64 y y))))
(+.f64 (-.f64 (.f64 x x) (.f64 y y)) (.f64 (fma.f64 (neg.f64 y) y (.f64 y y)) 1))
(+.f64 (-.f64 (.f64 x x) (.f64 y y)) (fma.f64 (.f64 y (neg.f64 y)) 1 (.f64 y y)))
(+.f64 (-.f64 (.f64 x x) (.f64 y y)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (pow.f64 y 4)) (*.f64 y y)))
(+.f64 (.f64 y (neg.f64 y)) (.f64 x x))
(+.f64 (fma.f64 (neg.f64 y) y (.f64 y y)) (-.f64 (.f64 x x) (*.f64 y y)))
(.f64 (-.f64 (.f64 x x) (*.f64 y y)) 1)
(.f64 1 (-.f64 (.f64 x x) (*.f64 y y)))
(.f64 (sqrt.f64 (-.f64 (.f64 x x) (.f64 y y))) (sqrt.f64 (-.f64 (.f64 x x) (*.f64 y y))))
(.f64 (cbrt.f64 (-.f64 (.f64 x x) (.f64 y y))) (cbrt.f64 (pow.f64 (-.f64 (.f64 x x) (*.f64 y y)) 2)))
(.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 x x) (.f64 y y)) 2)) (cbrt.f64 (-.f64 (.f64 x x) (*.f64 y y))))
(*.f64 (+.f64 x y) (-.f64 x y))
(*.f64 (-.f64 x y) (+.f64 x y))
(.f64 (-.f64 (pow.f64 x 4) (pow.f64 y 4)) (/.f64 1 (fma.f64 x x (.f64 y y))))
(.f64 (-.f64 (pow.f64 x 6) (pow.f64 y 6)) (/.f64 1 (+.f64 (pow.f64 x 4) (+.f64 (pow.f64 y 4) (pow.f64 (.f64 x y) 2)))))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 y y)) (-.f64 (pow.f64 x 4) (pow.f64 y 4))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 x 4) (+.f64 (pow.f64 y 4) (pow.f64 (*.f64 x y) 2))) (-.f64 (pow.f64 x 6) (pow.f64 y 6))))
(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 y 4)) (fma.f64 x x (*.f64 y y)))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 y 6)) (+.f64 (pow.f64 x 4) (+.f64 (pow.f64 y 4) (pow.f64 (*.f64 x y) 2))))
(/.f64 (-.f64 (pow.f64 x 4) (.f64 (.f64 y (neg.f64 y)) (.f64 y (neg.f64 y)))) (-.f64 (.f64 x x) (*.f64 y (neg.f64 y))))
(/.f64 (-.f64 (pow.f64 (-.f64 (.f64 x x) (.f64 y y)) 2) (.f64 (fma.f64 (neg.f64 y) y (.f64 y y)) (fma.f64 (neg.f64 y) y (.f64 y y)))) (-.f64 (-.f64 (.f64 x x) (.f64 y y)) (fma.f64 (neg.f64 y) y (.f64 y y))))
(/.f64 (+.f64 (pow.f64 x 6) (pow.f64 (.f64 y (neg.f64 y)) 3)) (+.f64 (pow.f64 x 4) (-.f64 (.f64 (.f64 y (neg.f64 y)) (.f64 y (neg.f64 y))) (.f64 (.f64 x x) (*.f64 y (neg.f64 y))))))
(/.f64 (+.f64 (pow.f64 (-.f64 (.f64 x x) (.f64 y y)) 3) (pow.f64 (fma.f64 (neg.f64 y) y (.f64 y y)) 3)) (+.f64 (pow.f64 (-.f64 (.f64 x x) (.f64 y y)) 2) (-.f64 (.f64 (fma.f64 (neg.f64 y) y (.f64 y y)) (fma.f64 (neg.f64 y) y (.f64 y y))) (.f64 (-.f64 (.f64 x x) (.f64 y y)) (fma.f64 (neg.f64 y) y (.f64 y y))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 4) (pow.f64 y 4))) (neg.f64 (fma.f64 x x (*.f64 y y))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 6) (pow.f64 y 6))) (neg.f64 (+.f64 (pow.f64 x 4) (+.f64 (pow.f64 y 4) (pow.f64 (*.f64 x y) 2)))))
(pow.f64 (-.f64 (.f64 x x) (.f64 y y)) 1)
(pow.f64 (sqrt.f64 (-.f64 (.f64 x x) (.f64 y y))) 2)
(pow.f64 (cbrt.f64 (-.f64 (.f64 x x) (.f64 y y))) 3)
(pow.f64 (pow.f64 (-.f64 (.f64 x x) (.f64 y y)) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (.f64 x x) (.f64 y y)) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 x y)) (-.f64 x y)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (.f64 x x) (.f64 y y)))))
(cbrt.f64 (pow.f64 (-.f64 (.f64 x x) (.f64 y y)) 3))
(expm1.f64 (log1p.f64 (-.f64 (.f64 x x) (.f64 y y))))
(exp.f64 (log.f64 (-.f64 (.f64 x x) (.f64 y y))))
(exp.f64 (.f64 (log.f64 (-.f64 (.f64 x x) (*.f64 y y))) 1))
(log1p.f64 (expm1.f64 (-.f64 (.f64 x x) (.f64 y y))))
(fma.f64 x x (*.f64 y (neg.f64 y)))
(fma.f64 1 (.f64 x x) (.f64 y (neg.f64 y)))
(fma.f64 1 (-.f64 (.f64 x x) (.f64 y y)) (fma.f64 (neg.f64 y) y (*.f64 y y)))
(fma.f64 (sqrt.f64 (-.f64 (.f64 x x) (.f64 y y))) (sqrt.f64 (-.f64 (.f64 x x) (.f64 y y))) (fma.f64 (neg.f64 y) y (*.f64 y y)))
(fma.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 x x) (.f64 y y)) 2)) (cbrt.f64 (-.f64 (.f64 x x) (.f64 y y))) (fma.f64 (neg.f64 y) y (*.f64 y y)))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (.f64 x x)) (.f64 y (neg.f64 y)))
(fma.f64 (+.f64 x y) (-.f64 x y) (fma.f64 (neg.f64 y) y (*.f64 y y)))

Outputs
(*.f64 -1 (pow.f64 y 2))
(*.f64 y (neg.f64 y))
(neg.f64 (*.f64 y y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(-.f64 (.f64 x x) (.f64 y y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(-.f64 (.f64 x x) (.f64 y y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(-.f64 (.f64 x x) (.f64 y y))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(-.f64 (.f64 x x) (.f64 y y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(-.f64 (.f64 x x) (.f64 y y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(-.f64 (.f64 x x) (.f64 y y))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(-.f64 (.f64 x x) (.f64 y y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(-.f64 (.f64 x x) (.f64 y y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(-.f64 (.f64 x x) (.f64 y y))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(-.f64 (.f64 x x) (.f64 y y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(-.f64 (.f64 x x) (.f64 y y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(-.f64 (.f64 x x) (.f64 y y))
(*.f64 -1 (pow.f64 y 2))
(*.f64 y (neg.f64 y))
(neg.f64 (*.f64 y y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(-.f64 (.f64 x x) (.f64 y y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(-.f64 (.f64 x x) (.f64 y y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(-.f64 (.f64 x x) (.f64 y y))
(*.f64 -1 (pow.f64 y 2))
(*.f64 y (neg.f64 y))
(neg.f64 (*.f64 y y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(-.f64 (.f64 x x) (.f64 y y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(-.f64 (.f64 x x) (.f64 y y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2))
(-.f64 (.f64 x x) (.f64 y y))
(+.f64 (.f64 x x) (.f64 y (neg.f64 y)))
(-.f64 (.f64 x x) (.f64 y y))
(+.f64 (.f64 x x) (+.f64 (.f64 y (neg.f64 y)) (fma.f64 (neg.f64 y) y (*.f64 y y))))
(-.f64 (.f64 x x) (.f64 y y))
(+.f64 (.f64 x x) (.f64 (*.f64 y (neg.f64 y)) 1))
(-.f64 (.f64 x x) (.f64 y y))
(+.f64 (-.f64 (.f64 x x) (.f64 y y)) (fma.f64 (neg.f64 y) y (*.f64 y y)))
(-.f64 (.f64 x x) (.f64 y y))
(+.f64 (-.f64 (.f64 x x) (.f64 y y)) (+.f64 (fma.f64 (neg.f64 y) y (.f64 y y)) (fma.f64 (neg.f64 y) y (.f64 y y))))
(-.f64 (.f64 x x) (.f64 y y))
(+.f64 (-.f64 (.f64 x x) (.f64 y y)) (.f64 (fma.f64 (neg.f64 y) y (.f64 y y)) 1))
(-.f64 (.f64 x x) (.f64 y y))
(+.f64 (-.f64 (.f64 x x) (.f64 y y)) (fma.f64 (.f64 y (neg.f64 y)) 1 (.f64 y y)))
(-.f64 (.f64 x x) (.f64 y y))
(+.f64 (-.f64 (.f64 x x) (.f64 y y)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (pow.f64 y 4)) (*.f64 y y)))
(fma.f64 (+.f64 y x) (-.f64 x y) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (pow.f64 y 4)) (*.f64 y y)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (pow.f64 y 4)) (fma.f64 x x 0))
(+.f64 (.f64 y (neg.f64 y)) (.f64 x x))
(-.f64 (.f64 x x) (.f64 y y))
(+.f64 (fma.f64 (neg.f64 y) y (.f64 y y)) (-.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 1 (-.f64 (.f64 x x) (*.f64 y y)))
(-.f64 (.f64 x x) (.f64 y y))
(.f64 (sqrt.f64 (-.f64 (.f64 x x) (.f64 y y))) (sqrt.f64 (-.f64 (.f64 x x) (*.f64 y y))))
(-.f64 (.f64 x x) (.f64 y y))
(.f64 (cbrt.f64 (-.f64 (.f64 x x) (.f64 y y))) (cbrt.f64 (pow.f64 (-.f64 (.f64 x x) (*.f64 y y)) 2)))
(.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 x x) (.f64 y y)) 2)) (cbrt.f64 (-.f64 (.f64 x x) (*.f64 y y))))
(.f64 (cbrt.f64 (-.f64 (.f64 x x) (.f64 y y))) (cbrt.f64 (pow.f64 (-.f64 (.f64 x x) (*.f64 y y)) 2)))
(*.f64 (+.f64 x y) (-.f64 x y))
(-.f64 (.f64 x x) (.f64 y y))
(*.f64 (-.f64 x y) (+.f64 x y))
(-.f64 (.f64 x x) (.f64 y y))
(.f64 (-.f64 (pow.f64 x 4) (pow.f64 y 4)) (/.f64 1 (fma.f64 x x (.f64 y y))))
(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 y 4)) (fma.f64 x x (*.f64 y y)))
(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 y 4)) (fma.f64 y y (*.f64 x x)))
(.f64 (-.f64 (pow.f64 x 6) (pow.f64 y 6)) (/.f64 1 (+.f64 (pow.f64 x 4) (+.f64 (pow.f64 y 4) (pow.f64 (.f64 x y) 2)))))
(/.f64 (.f64 (-.f64 (pow.f64 x 6) (pow.f64 y 6)) 1) (+.f64 (+.f64 (pow.f64 x 4) (pow.f64 y 4)) (pow.f64 (.f64 y x) 2)))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 y 6)) (+.f64 (pow.f64 x 4) (+.f64 (pow.f64 (*.f64 y x) 2) (pow.f64 y 4))))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 y 6)) (+.f64 (pow.f64 (*.f64 y x) 2) (+.f64 (pow.f64 x 4) (pow.f64 y 4))))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 y y)) (-.f64 (pow.f64 x 4) (pow.f64 y 4))))
(.f64 (-.f64 (pow.f64 x 4) (pow.f64 y 4)) (/.f64 1 (fma.f64 x x (.f64 y y))))
(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 y 4)) (fma.f64 x x (*.f64 y y)))
(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 y 4)) (fma.f64 y y (*.f64 x x)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 x 4) (+.f64 (pow.f64 y 4) (pow.f64 (*.f64 x y) 2))) (-.f64 (pow.f64 x 6) (pow.f64 y 6))))
(/.f64 (.f64 (-.f64 (pow.f64 x 6) (pow.f64 y 6)) 1) (+.f64 (+.f64 (pow.f64 x 4) (pow.f64 y 4)) (pow.f64 (.f64 y x) 2)))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 y 6)) (+.f64 (pow.f64 x 4) (+.f64 (pow.f64 (*.f64 y x) 2) (pow.f64 y 4))))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 y 6)) (+.f64 (pow.f64 (*.f64 y x) 2) (+.f64 (pow.f64 x 4) (pow.f64 y 4))))
(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 y 4)) (fma.f64 x x (*.f64 y y)))
(.f64 (-.f64 (pow.f64 x 4) (pow.f64 y 4)) (/.f64 1 (fma.f64 x x (.f64 y y))))
(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 y 4)) (fma.f64 y y (*.f64 x x)))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 y 6)) (+.f64 (pow.f64 x 4) (+.f64 (pow.f64 y 4) (pow.f64 (*.f64 x y) 2))))
(/.f64 (.f64 (-.f64 (pow.f64 x 6) (pow.f64 y 6)) 1) (+.f64 (+.f64 (pow.f64 x 4) (pow.f64 y 4)) (pow.f64 (.f64 y x) 2)))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 y 6)) (+.f64 (pow.f64 x 4) (+.f64 (pow.f64 (*.f64 y x) 2) (pow.f64 y 4))))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 y 6)) (+.f64 (pow.f64 (*.f64 y x) 2) (+.f64 (pow.f64 x 4) (pow.f64 y 4))))
(/.f64 (-.f64 (pow.f64 x 4) (.f64 (.f64 y (neg.f64 y)) (.f64 y (neg.f64 y)))) (-.f64 (.f64 x x) (*.f64 y (neg.f64 y))))
(.f64 (-.f64 (pow.f64 x 4) (pow.f64 y 4)) (/.f64 1 (fma.f64 x x (.f64 y y))))
(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 y 4)) (fma.f64 x x (*.f64 y y)))
(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 y 4)) (fma.f64 y y (*.f64 x x)))
(/.f64 (-.f64 (pow.f64 (-.f64 (.f64 x x) (.f64 y y)) 2) (.f64 (fma.f64 (neg.f64 y) y (.f64 y y)) (fma.f64 (neg.f64 y) y (.f64 y y)))) (-.f64 (-.f64 (.f64 x x) (.f64 y y)) (fma.f64 (neg.f64 y) y (.f64 y y))))
(/.f64 (+.f64 (pow.f64 (-.f64 (.f64 x x) (.f64 y y)) 2) (.f64 (.f64 0 (.f64 y y)) (.f64 0 (.f64 y y)))) (fma.f64 (+.f64 y x) (-.f64 x y) (.f64 0 (*.f64 y y))))
(/.f64 (pow.f64 (-.f64 (.f64 x x) (.f64 y y)) 2) (-.f64 (.f64 x x) (.f64 y y)))
(/.f64 (+.f64 (pow.f64 x 6) (pow.f64 (.f64 y (neg.f64 y)) 3)) (+.f64 (pow.f64 x 4) (-.f64 (.f64 (.f64 y (neg.f64 y)) (.f64 y (neg.f64 y))) (.f64 (.f64 x x) (*.f64 y (neg.f64 y))))))
(/.f64 (.f64 (-.f64 (pow.f64 x 6) (pow.f64 y 6)) 1) (+.f64 (+.f64 (pow.f64 x 4) (pow.f64 y 4)) (pow.f64 (.f64 y x) 2)))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 y 6)) (+.f64 (pow.f64 x 4) (+.f64 (pow.f64 (*.f64 y x) 2) (pow.f64 y 4))))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 y 6)) (+.f64 (pow.f64 (*.f64 y x) 2) (+.f64 (pow.f64 x 4) (pow.f64 y 4))))
(/.f64 (+.f64 (pow.f64 (-.f64 (.f64 x x) (.f64 y y)) 3) (pow.f64 (fma.f64 (neg.f64 y) y (.f64 y y)) 3)) (+.f64 (pow.f64 (-.f64 (.f64 x x) (.f64 y y)) 2) (-.f64 (.f64 (fma.f64 (neg.f64 y) y (.f64 y y)) (fma.f64 (neg.f64 y) y (.f64 y y))) (.f64 (-.f64 (.f64 x x) (.f64 y y)) (fma.f64 (neg.f64 y) y (.f64 y y))))))
(/.f64 (+.f64 (pow.f64 (-.f64 (.f64 x x) (.f64 y y)) 3) (pow.f64 (fma.f64 (neg.f64 y) y (.f64 y y)) 3)) (+.f64 (pow.f64 (-.f64 (.f64 x x) (.f64 y y)) 2) (.f64 (fma.f64 (neg.f64 y) y (.f64 y y)) (-.f64 (fma.f64 (neg.f64 y) y (.f64 y y)) (-.f64 (.f64 x x) (.f64 y y))))))
(/.f64 (+.f64 (pow.f64 (-.f64 (.f64 x x) (.f64 y y)) 3) (pow.f64 (.f64 0 (.f64 y y)) 3)) (fma.f64 (.f64 0 (.f64 y y)) (-.f64 (.f64 0 (.f64 y y)) (-.f64 (.f64 x x) (.f64 y y))) (pow.f64 (-.f64 (.f64 x x) (.f64 y y)) 2)))
(/.f64 (+.f64 0 (pow.f64 (-.f64 (.f64 x x) (.f64 y y)) 3)) (pow.f64 (-.f64 (.f64 x x) (.f64 y y)) 2))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 4) (pow.f64 y 4))) (neg.f64 (fma.f64 x x (*.f64 y y))))
(.f64 (-.f64 (pow.f64 x 4) (pow.f64 y 4)) (/.f64 1 (fma.f64 x x (.f64 y y))))
(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 y 4)) (fma.f64 x x (*.f64 y y)))
(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 y 4)) (fma.f64 y y (*.f64 x x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 6) (pow.f64 y 6))) (neg.f64 (+.f64 (pow.f64 x 4) (+.f64 (pow.f64 y 4) (pow.f64 (*.f64 x y) 2)))))
(/.f64 (.f64 (-.f64 (pow.f64 x 6) (pow.f64 y 6)) 1) (+.f64 (+.f64 (pow.f64 x 4) (pow.f64 y 4)) (pow.f64 (.f64 y x) 2)))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 y 6)) (+.f64 (pow.f64 x 4) (+.f64 (pow.f64 (*.f64 y x) 2) (pow.f64 y 4))))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 y 6)) (+.f64 (pow.f64 (*.f64 y x) 2) (+.f64 (pow.f64 x 4) (pow.f64 y 4))))
(pow.f64 (-.f64 (.f64 x x) (.f64 y y)) 1)
(-.f64 (.f64 x x) (.f64 y y))
(pow.f64 (sqrt.f64 (-.f64 (.f64 x x) (.f64 y y))) 2)
(-.f64 (.f64 x x) (.f64 y y))
(pow.f64 (cbrt.f64 (-.f64 (.f64 x x) (.f64 y y))) 3)
(-.f64 (.f64 x x) (.f64 y y))
(pow.f64 (pow.f64 (-.f64 (.f64 x x) (.f64 y y)) 3) 1/3)
(-.f64 (.f64 x x) (.f64 y y))
(sqrt.f64 (pow.f64 (-.f64 (.f64 x x) (.f64 y y)) 2))
(-.f64 (.f64 x x) (.f64 y y))
(log.f64 (pow.f64 (exp.f64 (+.f64 x y)) (-.f64 x y)))
(-.f64 (.f64 x x) (.f64 y y))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (.f64 x x) (.f64 y y)))))
(-.f64 (.f64 x x) (.f64 y y))
(cbrt.f64 (pow.f64 (-.f64 (.f64 x x) (.f64 y y)) 3))
(-.f64 (.f64 x x) (.f64 y y))
(expm1.f64 (log1p.f64 (-.f64 (.f64 x x) (.f64 y y))))
(-.f64 (.f64 x x) (.f64 y y))
(exp.f64 (log.f64 (-.f64 (.f64 x x) (.f64 y y))))
(-.f64 (.f64 x x) (.f64 y y))
(exp.f64 (.f64 (log.f64 (-.f64 (.f64 x x) (*.f64 y y))) 1))
(-.f64 (.f64 x x) (.f64 y y))
(log1p.f64 (expm1.f64 (-.f64 (.f64 x x) (.f64 y y))))
(-.f64 (.f64 x x) (.f64 y y))
(fma.f64 x x (*.f64 y (neg.f64 y)))
(-.f64 (.f64 x x) (.f64 y y))
(fma.f64 1 (.f64 x x) (.f64 y (neg.f64 y)))
(-.f64 (.f64 x x) (.f64 y y))
(fma.f64 1 (-.f64 (.f64 x x) (.f64 y y)) (fma.f64 (neg.f64 y) y (*.f64 y y)))
(-.f64 (.f64 x x) (.f64 y y))
(fma.f64 (sqrt.f64 (-.f64 (.f64 x x) (.f64 y y))) (sqrt.f64 (-.f64 (.f64 x x) (.f64 y y))) (fma.f64 (neg.f64 y) y (*.f64 y y)))
(-.f64 (.f64 x x) (.f64 y y))
(fma.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 x x) (.f64 y y)) 2)) (cbrt.f64 (-.f64 (.f64 x x) (.f64 y y))) (fma.f64 (neg.f64 y) y (*.f64 y y)))
(fma.f64 (cbrt.f64 (-.f64 (.f64 x x) (.f64 y y))) (cbrt.f64 (pow.f64 (-.f64 (.f64 x x) (.f64 y y)) 2)) (.f64 0 (.f64 y y)))
(fma.f64 (cbrt.f64 (-.f64 (.f64 x x) (.f64 y y))) (cbrt.f64 (pow.f64 (-.f64 (.f64 x x) (.f64 y y)) 2)) 0)
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (.f64 x x)) (.f64 y (neg.f64 y)))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (.f64 x x)) (neg.f64 (.f64 y y)))
(-.f64 (.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (.f64 x x))) (*.f64 y y))
(fma.f64 (+.f64 x y) (-.f64 x y) (fma.f64 (neg.f64 y) y (*.f64 y y)))
(-.f64 (.f64 x x) (.f64 y y))

eval17.0ms (1.1%)

Compiler: Compiled 1164 to 381 computations (67.3% saved)

prune10.0ms (0.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	67	3	70
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	67	4	71

Error

Counts

71 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(-.f64 (.f64 x x) (.f64 y y))
▶	0.0b	(*.f64 (-.f64 x y) (+.f64 x y))
▶	30.2b	(*.f64 y (neg.f64 y))
▶	29.4b	(*.f64 x x)

Compiler

Compiled 29 to 17 computations (41.4% saved)

localize3.0ms (0.2%)

Compiler: Compiled 6 to 3 computations (50% saved)

localize4.0ms (0.2%)

Compiler: Compiled 9 to 4 computations (55.6% 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))

rewrite60.0ms (3.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1938×	`add-sqr-sqrt`
1922×	`*-un-lft-identity`
1804×	`add-cube-cbrt`
1776×	`add-cbrt-cube`
172×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	19
1	160	19
2	2397	19

Stop Event

1×	node limit

Counts

1 → 44

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x x) (.f64 (neg.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 (.f64 x (-.f64 x y)) (.f64 y (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 y (-.f64 x y)) (.f64 x (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 x x) (.f64 y y)) (fma.f64 (neg.f64 y) y (.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (+.f64 x y) x) (.f64 (+.f64 x y) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (+.f64 x y)) (.f64 (neg.f64 y) (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 x (-.f64 x y)) 1) (.f64 (.f64 y (-.f64 x y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 x x) (.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (-.f64 (.f64 x x) (.f64 y y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (-.f64 (.f64 x x) (.f64 y y)) 2) (-.f64 (.f64 x x) (.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 x y) (-.f64 (.f64 x x) (.f64 y y))) (-.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 x y) (+.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 x x (.f64 y (-.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 x y) (-.f64 (.f64 x x) (.f64 y y))) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 x y) (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 x x (.f64 y (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (.f64 x x) (.f64 y y)) (+.f64 x y)) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) (+.f64 x y)) (fma.f64 x x (.f64 y (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (.f64 x x) (.f64 y y)) (-.f64 x y)) (-.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (pow.f64 x 3) (pow.f64 y 3)) (-.f64 x y)) (fma.f64 x x (.f64 y (-.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (.f64 x (-.f64 x y)) (.f64 x (-.f64 x y))) (.f64 (.f64 y (-.f64 x y)) (.f64 y (-.f64 x y)))) (-.f64 (.f64 x (-.f64 x y)) (.f64 y (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 y y) (.f64 y y))) (+.f64 (.f64 x x) (.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 x (-.f64 x y)) 3) (pow.f64 (.f64 y (-.f64 x y)) 3)) (+.f64 (.f64 (.f64 x (-.f64 x y)) (.f64 x (-.f64 x y))) (-.f64 (.f64 (.f64 y (-.f64 x y)) (.f64 y (-.f64 x y))) (.f64 (.f64 x (-.f64 x y)) (.f64 y (-.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (.f64 x x) 3) (pow.f64 (.f64 y y) 3)) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (.f64 (.f64 y y) (.f64 y y)) (.f64 (.f64 x x) (.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (.f64 x x) (.f64 y y)) (+.f64 (pow.f64 x 3) (pow.f64 y 3))) (.f64 (+.f64 x y) (fma.f64 x x (.f64 y (-.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) (-.f64 (.f64 x x) (.f64 y y))) (-.f64 (pow.f64 x 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) (+.f64 (pow.f64 x 3) (pow.f64 y 3))) (.f64 (fma.f64 x x (.f64 y (+.f64 x y))) (fma.f64 x x (.f64 y (-.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (.f64 x x) (.f64 y y)) (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (.f64 (-.f64 x y) (fma.f64 x x (.f64 y (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (pow.f64 x 3) (pow.f64 y 3)) (-.f64 (.f64 x x) (.f64 y y))) (+.f64 (pow.f64 x 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (pow.f64 x 3) (pow.f64 y 3)) (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (.f64 (fma.f64 x x (.f64 y (-.f64 y x))) (fma.f64 x x (.f64 y (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (.f64 x x) (.f64 y y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (.f64 x x) (.f64 y y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (.f64 x x) (.f64 y y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (.f64 x x) (.f64 y y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (.f64 x x) (.f64 y y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (-.f64 x y)) (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (.f64 x x) (.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (.f64 x x) (.f64 y y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (.f64 x x) (.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (.f64 x x) (.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (-.f64 (.f64 x x) (.f64 y y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (.f64 x x) (.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x x (neg.f64 (.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (-.f64 x y) (.f64 y (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 x y) x (*.f64 y (-.f64 x y)))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x x) (*.f64 (neg.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 (*.f64 x (-.f64 x y)) (*.f64 y (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (-.f64 x y)) (*.f64 x (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (fma.f64 (neg.f64 y) y (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 x y) x) (*.f64 (+.f64 x y) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (+.f64 x y)) (*.f64 (neg.f64 y) (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (-.f64 x y)) 1) (*.f64 (*.f64 y (-.f64 x y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x x) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (-.f64 (*.f64 x x) (*.f64 y y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 2) (-.f64 (*.f64 x x) (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 x y) (-.f64 (*.f64 x x) (*.f64 y y))) (-.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 x y) (+.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 x x (*.f64 y (-.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x y) (-.f64 (*.f64 x x) (*.f64 y y))) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x y) (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 x x (*.f64 y (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (+.f64 x y)) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) (+.f64 x y)) (fma.f64 x x (*.f64 y (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (-.f64 x y)) (-.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 y 3)) (-.f64 x y)) (fma.f64 x x (*.f64 y (-.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x (-.f64 x y)) (*.f64 x (-.f64 x y))) (*.f64 (*.f64 y (-.f64 x y)) (*.f64 y (-.f64 x y)))) (-.f64 (*.f64 x (-.f64 x y)) (*.f64 y (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y y))) (+.f64 (*.f64 x x) (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 x y)) 3) (pow.f64 (*.f64 y (-.f64 x y)) 3)) (+.f64 (*.f64 (*.f64 x (-.f64 x y)) (*.f64 x (-.f64 x y))) (-.f64 (*.f64 (*.f64 y (-.f64 x y)) (*.f64 y (-.f64 x y))) (*.f64 (*.f64 x (-.f64 x y)) (*.f64 y (-.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 y y) 3)) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 (*.f64 x x) (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (+.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 (+.f64 x y) (fma.f64 x x (*.f64 y (-.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) (-.f64 (*.f64 x x) (*.f64 y y))) (-.f64 (pow.f64 x 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) (+.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (fma.f64 x x (*.f64 y (-.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 (-.f64 x y) (fma.f64 x x (*.f64 y (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 y 3)) (-.f64 (*.f64 x x) (*.f64 y y))) (+.f64 (pow.f64 x 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 y 3)) (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 (fma.f64 x x (*.f64 y (-.f64 y x))) (fma.f64 x x (*.f64 y (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (*.f64 x x) (*.f64 y y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) (*.f64 y y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (-.f64 x y)) (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (*.f64 x x) (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (*.f64 x x) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (*.f64 x x) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 x x) (*.f64 y y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (*.f64 x x) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x x (neg.f64 (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (-.f64 x y) (*.f64 y (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 x y) x (*.f64 y (-.f64 x y)))))))

simplify50.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

1684×	`associate-/l*`
770×	`associate-*r/`
762×	`associate-*l/`
670×	`associate-/r*`
616×	`associate-/r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	149	2696
1	502	1768
2	2530	1760

Stop Event

1×	node limit

Counts

68 → 81

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 x x) (.f64 (neg.f64 y) y))
(+.f64 (.f64 x x) (neg.f64 (.f64 y y)))
(+.f64 (.f64 x (-.f64 x y)) (.f64 y (-.f64 x y)))
(+.f64 (.f64 y (-.f64 x y)) (.f64 x (-.f64 x y)))
(+.f64 (-.f64 (.f64 x x) (.f64 y y)) (fma.f64 (neg.f64 y) y (*.f64 y y)))
(+.f64 (.f64 (+.f64 x y) x) (.f64 (+.f64 x y) (neg.f64 y)))
(+.f64 (.f64 x (+.f64 x y)) (.f64 (neg.f64 y) (+.f64 x y)))
(+.f64 (.f64 (.f64 x (-.f64 x y)) 1) (.f64 (.f64 y (-.f64 x y)) 1))
(-.f64 (.f64 x x) (.f64 y y))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (.f64 x x) (.f64 y y)))) 1)
(/.f64 (pow.f64 (-.f64 (.f64 x x) (.f64 y y)) 2) (-.f64 (.f64 x x) (.f64 y y)))
(/.f64 (.f64 (-.f64 x y) (-.f64 (.f64 x x) (*.f64 y y))) (-.f64 x y))
(/.f64 (.f64 (-.f64 x y) (+.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 x x (.f64 y (-.f64 y x))))
(/.f64 (.f64 (+.f64 x y) (-.f64 (.f64 x x) (*.f64 y y))) (+.f64 x y))
(/.f64 (.f64 (+.f64 x y) (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 x x (.f64 y (+.f64 x y))))
(/.f64 (.f64 (-.f64 (.f64 x x) (*.f64 y y)) (+.f64 x y)) (+.f64 x y))
(/.f64 (.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) (+.f64 x y)) (fma.f64 x x (.f64 y (+.f64 x y))))
(/.f64 (.f64 (-.f64 (.f64 x x) (*.f64 y y)) (-.f64 x y)) (-.f64 x y))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) (pow.f64 y 3)) (-.f64 x y)) (fma.f64 x x (.f64 y (-.f64 y x))))
(/.f64 (-.f64 (.f64 (.f64 x (-.f64 x y)) (.f64 x (-.f64 x y))) (.f64 (.f64 y (-.f64 x y)) (.f64 y (-.f64 x y)))) (-.f64 (.f64 x (-.f64 x y)) (.f64 y (-.f64 x y))))
(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 y y) (.f64 y y))) (+.f64 (.f64 x x) (.f64 y y)))
(/.f64 (+.f64 (pow.f64 (.f64 x (-.f64 x y)) 3) (pow.f64 (.f64 y (-.f64 x y)) 3)) (+.f64 (.f64 (.f64 x (-.f64 x y)) (.f64 x (-.f64 x y))) (-.f64 (.f64 (.f64 y (-.f64 x y)) (.f64 y (-.f64 x y))) (.f64 (.f64 x (-.f64 x y)) (*.f64 y (-.f64 x y))))))
(/.f64 (-.f64 (pow.f64 (.f64 x x) 3) (pow.f64 (.f64 y y) 3)) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (.f64 (.f64 y y) (.f64 y y)) (.f64 (.f64 x x) (*.f64 y y)))))
(/.f64 (.f64 (-.f64 (.f64 x x) (.f64 y y)) (+.f64 (pow.f64 x 3) (pow.f64 y 3))) (.f64 (+.f64 x y) (fma.f64 x x (*.f64 y (-.f64 y x)))))
(/.f64 (.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) (-.f64 (.f64 x x) (*.f64 y y))) (-.f64 (pow.f64 x 3) (pow.f64 y 3)))
(/.f64 (.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) (+.f64 (pow.f64 x 3) (pow.f64 y 3))) (.f64 (fma.f64 x x (.f64 y (+.f64 x y))) (fma.f64 x x (.f64 y (-.f64 y x)))))
(/.f64 (.f64 (-.f64 (.f64 x x) (.f64 y y)) (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (.f64 (-.f64 x y) (fma.f64 x x (*.f64 y (+.f64 x y)))))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) (pow.f64 y 3)) (-.f64 (.f64 x x) (*.f64 y y))) (+.f64 (pow.f64 x 3) (pow.f64 y 3)))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) (pow.f64 y 3)) (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (.f64 (fma.f64 x x (.f64 y (-.f64 y x))) (fma.f64 x x (.f64 y (+.f64 x y)))))
(pow.f64 (sqrt.f64 (-.f64 (.f64 x x) (.f64 y y))) 2)
(pow.f64 (cbrt.f64 (-.f64 (.f64 x x) (.f64 y y))) 3)
(pow.f64 (pow.f64 (-.f64 (.f64 x x) (.f64 y y)) 3) 1/3)
(pow.f64 (-.f64 (.f64 x x) (.f64 y y)) 1)
(sqrt.f64 (pow.f64 (-.f64 (.f64 x x) (.f64 y y)) 2))
(log.f64 (pow.f64 (exp.f64 (-.f64 x y)) (+.f64 x y)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (.f64 x x) (.f64 y y)))))
(cbrt.f64 (pow.f64 (-.f64 (.f64 x x) (.f64 y y)) 3))
(expm1.f64 (log1p.f64 (-.f64 (.f64 x x) (.f64 y y))))
(exp.f64 (log.f64 (-.f64 (.f64 x x) (.f64 y y))))
(exp.f64 (.f64 (log.f64 (-.f64 (.f64 x x) (*.f64 y y))) 1))
(log1p.f64 (expm1.f64 (-.f64 (.f64 x x) (.f64 y y))))
(fma.f64 x x (neg.f64 (*.f64 y y)))
(fma.f64 x (-.f64 x y) (*.f64 y (-.f64 x y)))
(fma.f64 (-.f64 x y) x (*.f64 y (-.f64 x y)))

Outputs
(*.f64 -1 (pow.f64 y 2))
(*.f64 y (neg.f64 y))
(+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 (+.f64 y (*.f64 -1 y)) x))
(*.f64 y (neg.f64 y))
(+.f64 (.f64 -1 (pow.f64 y 2)) (+.f64 (pow.f64 x 2) (.f64 (+.f64 y (*.f64 -1 y)) x)))
(+.f64 (-.f64 (.f64 x x) (.f64 y y)) (.f64 (.f64 0 y) x))
(-.f64 (.f64 x x) (.f64 y y))
(+.f64 (.f64 -1 (pow.f64 y 2)) (+.f64 (pow.f64 x 2) (.f64 (+.f64 y (*.f64 -1 y)) x)))
(+.f64 (-.f64 (.f64 x x) (.f64 y y)) (.f64 (.f64 0 y) x))
(-.f64 (.f64 x x) (.f64 y y))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (pow.f64 x 2) (.f64 (+.f64 y (.f64 -1 y)) x))
(+.f64 (.f64 (.f64 0 y) x) (*.f64 x x))
(fma.f64 x x 0)
(+.f64 (.f64 -1 (pow.f64 y 2)) (+.f64 (pow.f64 x 2) (.f64 (+.f64 y (*.f64 -1 y)) x)))
(+.f64 (-.f64 (.f64 x x) (.f64 y y)) (.f64 (.f64 0 y) x))
(-.f64 (.f64 x x) (.f64 y y))
(+.f64 (.f64 -1 (pow.f64 y 2)) (+.f64 (pow.f64 x 2) (.f64 (+.f64 y (*.f64 -1 y)) x)))
(+.f64 (-.f64 (.f64 x x) (.f64 y y)) (.f64 (.f64 0 y) x))
(-.f64 (.f64 x x) (.f64 y y))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (pow.f64 x 2) (.f64 (+.f64 y (.f64 -1 y)) x))
(+.f64 (.f64 (.f64 0 y) x) (*.f64 x x))
(fma.f64 x x 0)
(+.f64 (.f64 -1 (pow.f64 y 2)) (+.f64 (pow.f64 x 2) (.f64 (+.f64 y (*.f64 -1 y)) x)))
(+.f64 (-.f64 (.f64 x x) (.f64 y y)) (.f64 (.f64 0 y) x))
(-.f64 (.f64 x x) (.f64 y y))
(+.f64 (.f64 -1 (pow.f64 y 2)) (+.f64 (pow.f64 x 2) (.f64 (+.f64 y (*.f64 -1 y)) x)))
(+.f64 (-.f64 (.f64 x x) (.f64 y y)) (.f64 (.f64 0 y) x))
(-.f64 (.f64 x x) (.f64 y y))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (.f64 y (+.f64 (.f64 -1 x) x)) (pow.f64 x 2))
(+.f64 (.f64 (.f64 0 y) x) (*.f64 x x))
(fma.f64 x x 0)
(+.f64 (.f64 -1 (pow.f64 y 2)) (+.f64 (.f64 y (+.f64 (*.f64 -1 x) x)) (pow.f64 x 2)))
(+.f64 (-.f64 (.f64 x x) (.f64 y y)) (.f64 (.f64 0 y) x))
(-.f64 (.f64 x x) (.f64 y y))
(+.f64 (.f64 -1 (pow.f64 y 2)) (+.f64 (.f64 y (+.f64 (*.f64 -1 x) x)) (pow.f64 x 2)))
(+.f64 (-.f64 (.f64 x x) (.f64 y y)) (.f64 (.f64 0 y) x))
(-.f64 (.f64 x x) (.f64 y y))
(*.f64 -1 (pow.f64 y 2))
(*.f64 y (neg.f64 y))
(+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 y (+.f64 (*.f64 -1 x) x)))
(*.f64 y (neg.f64 y))
(+.f64 (.f64 -1 (pow.f64 y 2)) (+.f64 (.f64 y (+.f64 (*.f64 -1 x) x)) (pow.f64 x 2)))
(+.f64 (-.f64 (.f64 x x) (.f64 y y)) (.f64 (.f64 0 y) x))
(-.f64 (.f64 x x) (.f64 y y))
(+.f64 (.f64 -1 (pow.f64 y 2)) (+.f64 (.f64 y (+.f64 (*.f64 -1 x) x)) (pow.f64 x 2)))
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(-.f64 (.f64 x x) (.f64 y y))
(*.f64 -1 (pow.f64 y 2))
(*.f64 y (neg.f64 y))
(+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 -1 (.f64 y (+.f64 (.f64 -1 x) x))))
(*.f64 y (neg.f64 y))
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(-.f64 (.f64 x x) (.f64 y y))
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(-.f64 (.f64 x x) (.f64 y y))
(+.f64 (.f64 x x) (neg.f64 (.f64 y y)))
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(-.f64 (.f64 x x) (.f64 y y))
(+.f64 (.f64 x (-.f64 x y)) (.f64 y (-.f64 x y)))
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(-.f64 (.f64 x x) (.f64 y y))
(+.f64 (.f64 y (-.f64 x y)) (.f64 x (-.f64 x y)))
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(-.f64 (.f64 x x) (.f64 y y))
(+.f64 (-.f64 (.f64 x x) (.f64 y y)) (fma.f64 (neg.f64 y) y (*.f64 y y)))
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(-.f64 (.f64 x x) (.f64 y y))
(+.f64 (.f64 (+.f64 x y) x) (.f64 (+.f64 x y) (neg.f64 y)))
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(-.f64 (exp.f64 (log1p.f64 (-.f64 (.f64 x x) (.f64 y y)))) 1)
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(/.f64 (pow.f64 (-.f64 (.f64 x x) (.f64 y y)) 2) (-.f64 (.f64 x x) (.f64 y y)))
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(/.f64 (.f64 (-.f64 x y) (-.f64 (.f64 x x) (*.f64 y y))) (-.f64 x y))
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(/.f64 (.f64 (-.f64 x y) (+.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 x x (.f64 y (-.f64 y x))))
(.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 x x (.f64 y (-.f64 y x)))) (-.f64 x y))
(.f64 (-.f64 x y) (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 x x (.f64 y (-.f64 y x)))))
(/.f64 (.f64 (+.f64 x y) (-.f64 (.f64 x x) (*.f64 y y))) (+.f64 x y))
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(/.f64 (.f64 (+.f64 x y) (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 x x (.f64 y (+.f64 x y))))
(/.f64 (.f64 (+.f64 y x) (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 x x (.f64 y (+.f64 y x))))
(.f64 (/.f64 (+.f64 y x) (fma.f64 x x (.f64 y (+.f64 y x)))) (-.f64 (pow.f64 x 3) (pow.f64 y 3)))
(/.f64 (.f64 (-.f64 (.f64 x x) (*.f64 y y)) (+.f64 x y)) (+.f64 x y))
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(/.f64 (.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) (+.f64 x y)) (fma.f64 x x (.f64 y (+.f64 x y))))
(/.f64 (.f64 (+.f64 y x) (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 x x (.f64 y (+.f64 y x))))
(.f64 (/.f64 (+.f64 y x) (fma.f64 x x (.f64 y (+.f64 y x)))) (-.f64 (pow.f64 x 3) (pow.f64 y 3)))
(/.f64 (.f64 (-.f64 (.f64 x x) (*.f64 y y)) (-.f64 x y)) (-.f64 x y))
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(/.f64 (.f64 (+.f64 (pow.f64 x 3) (pow.f64 y 3)) (-.f64 x y)) (fma.f64 x x (.f64 y (-.f64 y x))))
(/.f64 (.f64 (-.f64 x y) (+.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 x x (.f64 y (-.f64 y x))))
(.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 x x (.f64 y (-.f64 y x)))) (-.f64 x y))
(.f64 (-.f64 x y) (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 x x (.f64 y (-.f64 y x)))))
(/.f64 (-.f64 (.f64 (.f64 x (-.f64 x y)) (.f64 x (-.f64 x y))) (.f64 (.f64 y (-.f64 x y)) (.f64 y (-.f64 x y)))) (-.f64 (.f64 x (-.f64 x y)) (.f64 y (-.f64 x y))))
(+.f64 (-.f64 (.f64 x x) (.f64 y y)) (.f64 (.f64 0 y) x))
(-.f64 (.f64 x x) (.f64 y y))
(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 y y) (.f64 y y))) (+.f64 (.f64 x x) (.f64 y y)))
(/.f64 (-.f64 (.f64 x (pow.f64 x 3)) (.f64 y (pow.f64 y 3))) (fma.f64 x x (*.f64 y y)))
(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 y 4)) (fma.f64 y y (*.f64 x x)))
(/.f64 (+.f64 (pow.f64 (.f64 x (-.f64 x y)) 3) (pow.f64 (.f64 y (-.f64 x y)) 3)) (+.f64 (.f64 (.f64 x (-.f64 x y)) (.f64 x (-.f64 x y))) (-.f64 (.f64 (.f64 y (-.f64 x y)) (.f64 y (-.f64 x y))) (.f64 (.f64 x (-.f64 x y)) (*.f64 y (-.f64 x y))))))
(/.f64 (+.f64 (pow.f64 (.f64 x (-.f64 x y)) 3) (pow.f64 (.f64 y (-.f64 x y)) 3)) (fma.f64 (.f64 x (-.f64 x y)) (.f64 x (-.f64 x y)) (.f64 (.f64 y (-.f64 x y)) (-.f64 (.f64 y (-.f64 x y)) (.f64 x (-.f64 x y))))))
(/.f64 (.f64 (pow.f64 (-.f64 x y) 3) (+.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 x (.f64 (-.f64 x y) (.f64 x (-.f64 x y))) (.f64 y (.f64 (-.f64 x y) (.f64 (-.f64 x y) (-.f64 y x))))))
(/.f64 (.f64 (pow.f64 (-.f64 x y) 3) (+.f64 (pow.f64 x 3) (pow.f64 y 3))) (.f64 (-.f64 x y) (+.f64 (.f64 x (.f64 x (-.f64 x y))) (.f64 (.f64 y (-.f64 x y)) (-.f64 y x)))))
(/.f64 (-.f64 (pow.f64 (.f64 x x) 3) (pow.f64 (.f64 y y) 3)) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (.f64 (.f64 y y) (.f64 y y)) (.f64 (.f64 x x) (*.f64 y y)))))
(/.f64 (-.f64 (pow.f64 (.f64 x x) 3) (pow.f64 (.f64 y y) 3)) (+.f64 (.f64 x (pow.f64 x 3)) (.f64 (.f64 y y) (fma.f64 x x (.f64 y y)))))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 y 6)) (fma.f64 (.f64 y y) (fma.f64 y y (.f64 x x)) (pow.f64 x 4)))
(/.f64 (.f64 (-.f64 (.f64 x x) (.f64 y y)) (+.f64 (pow.f64 x 3) (pow.f64 y 3))) (.f64 (+.f64 x y) (fma.f64 x x (*.f64 y (-.f64 y x)))))
(/.f64 (.f64 (-.f64 x y) (+.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 x x (.f64 y (-.f64 y x))))
(.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 x x (.f64 y (-.f64 y x)))) (-.f64 x y))
(.f64 (-.f64 x y) (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 x x (.f64 y (-.f64 y x)))))
(/.f64 (.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) (-.f64 (.f64 x x) (*.f64 y y))) (-.f64 (pow.f64 x 3) (pow.f64 y 3)))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) (-.f64 (.f64 x x) (.f64 y y))))
(.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (-.f64 (.f64 x x) (*.f64 y y)))
(.f64 (/.f64 (-.f64 (.f64 x x) (*.f64 y y)) (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (-.f64 (pow.f64 x 3) (pow.f64 y 3)))
(/.f64 (.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) (+.f64 (pow.f64 x 3) (pow.f64 y 3))) (.f64 (fma.f64 x x (.f64 y (+.f64 x y))) (fma.f64 x x (.f64 y (-.f64 y x)))))
(.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 x x (.f64 y (-.f64 y x)))) (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 x x (*.f64 y (+.f64 y x)))))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 y 6)) (.f64 (fma.f64 x x (.f64 y (-.f64 y x))) (fma.f64 x x (*.f64 y (+.f64 y x)))))
(/.f64 (.f64 (-.f64 (.f64 x x) (.f64 y y)) (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (.f64 (-.f64 x y) (fma.f64 x x (*.f64 y (+.f64 x y)))))
(.f64 (/.f64 (-.f64 (.f64 x x) (.f64 y y)) (-.f64 x y)) (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 x x (.f64 y (+.f64 y x)))))
(.f64 (/.f64 (+.f64 y x) 1) (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 x x (.f64 y (+.f64 y x)))))
(/.f64 (.f64 (/.f64 (+.f64 y x) 1) (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 x x (.f64 y (+.f64 y x))))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) (pow.f64 y 3)) (-.f64 (.f64 x x) (*.f64 y y))) (+.f64 (pow.f64 x 3) (pow.f64 y 3)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 y 3)) (-.f64 (.f64 x x) (.f64 y y))))
(.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 y 3)) (+.f64 (pow.f64 x 3) (pow.f64 y 3))) (-.f64 (.f64 x x) (*.f64 y y)))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) (pow.f64 y 3)) (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (.f64 (fma.f64 x x (.f64 y (-.f64 y x))) (fma.f64 x x (.f64 y (+.f64 x y)))))
(.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 x x (.f64 y (-.f64 y x)))) (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 x x (*.f64 y (+.f64 y x)))))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 y 6)) (.f64 (fma.f64 x x (.f64 y (-.f64 y x))) (fma.f64 x x (*.f64 y (+.f64 y x)))))
(pow.f64 (sqrt.f64 (-.f64 (.f64 x x) (.f64 y y))) 2)
(+.f64 (-.f64 (.f64 x x) (.f64 y y)) (.f64 (.f64 0 y) x))
(-.f64 (.f64 x x) (.f64 y y))
(pow.f64 (cbrt.f64 (-.f64 (.f64 x x) (.f64 y y))) 3)
(+.f64 (-.f64 (.f64 x x) (.f64 y y)) (.f64 (.f64 0 y) x))
(-.f64 (.f64 x x) (.f64 y y))
(pow.f64 (pow.f64 (-.f64 (.f64 x x) (.f64 y y)) 3) 1/3)
(+.f64 (-.f64 (.f64 x x) (.f64 y y)) (.f64 (.f64 0 y) x))
(-.f64 (.f64 x x) (.f64 y y))
(pow.f64 (-.f64 (.f64 x x) (.f64 y y)) 1)
(+.f64 (-.f64 (.f64 x x) (.f64 y y)) (.f64 (.f64 0 y) x))
(-.f64 (.f64 x x) (.f64 y y))
(sqrt.f64 (pow.f64 (-.f64 (.f64 x x) (.f64 y y)) 2))
(fabs.f64 (-.f64 (.f64 x x) (.f64 y y)))
(log.f64 (pow.f64 (exp.f64 (-.f64 x y)) (+.f64 x y)))
(+.f64 (-.f64 (.f64 x x) (.f64 y y)) (.f64 (.f64 0 y) x))
(-.f64 (.f64 x x) (.f64 y y))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (.f64 x x) (.f64 y y)))))
(+.f64 (-.f64 (.f64 x x) (.f64 y y)) (.f64 (.f64 0 y) x))
(-.f64 (.f64 x x) (.f64 y y))
(cbrt.f64 (pow.f64 (-.f64 (.f64 x x) (.f64 y y)) 3))
(+.f64 (-.f64 (.f64 x x) (.f64 y y)) (.f64 (.f64 0 y) x))
(-.f64 (.f64 x x) (.f64 y y))
(expm1.f64 (log1p.f64 (-.f64 (.f64 x x) (.f64 y y))))
(+.f64 (-.f64 (.f64 x x) (.f64 y y)) (.f64 (.f64 0 y) x))
(-.f64 (.f64 x x) (.f64 y y))
(exp.f64 (log.f64 (-.f64 (.f64 x x) (.f64 y y))))
(+.f64 (-.f64 (.f64 x x) (.f64 y y)) (.f64 (.f64 0 y) x))
(-.f64 (.f64 x x) (.f64 y y))
(exp.f64 (.f64 (log.f64 (-.f64 (.f64 x x) (*.f64 y y))) 1))
(+.f64 (-.f64 (.f64 x x) (.f64 y y)) (.f64 (.f64 0 y) x))
(-.f64 (.f64 x x) (.f64 y y))
(log1p.f64 (expm1.f64 (-.f64 (.f64 x x) (.f64 y y))))
(+.f64 (-.f64 (.f64 x x) (.f64 y y)) (.f64 (.f64 0 y) x))
(-.f64 (.f64 x x) (.f64 y y))
(fma.f64 x x (neg.f64 (*.f64 y y)))
(+.f64 (-.f64 (.f64 x x) (.f64 y y)) (.f64 (.f64 0 y) x))
(-.f64 (.f64 x x) (.f64 y y))
(fma.f64 x (-.f64 x y) (*.f64 y (-.f64 x y)))
(+.f64 (-.f64 (.f64 x x) (.f64 y y)) (.f64 (.f64 0 y) x))
(-.f64 (.f64 x x) (.f64 y y))
(fma.f64 (-.f64 x y) x (*.f64 y (-.f64 x y)))
(+.f64 (-.f64 (.f64 x x) (.f64 y y)) (.f64 (.f64 0 y) x))
(-.f64 (.f64 x x) (.f64 y y))

eval16.0ms (1.1%)

Compiler: Compiled 1414 to 514 computations (63.6% saved)

prune12.0ms (0.7%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	81	0	81
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	81	4	85

Error

Counts

85 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(-.f64 (.f64 x x) (.f64 y y))
✓	0.0b	(*.f64 (-.f64 x y) (+.f64 x y))
✓	30.2b	(*.f64 y (neg.f64 y))
✓	29.4b	(*.f64 x x)

Compiler

Compiled 29 to 17 computations (41.4% saved)

regimes18.0ms (1.2%)

Counts

4 → 1

Calls

Call 1

Inputs
(*.f64 x x)
(*.f64 y (neg.f64 y))
(*.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	x
4.0ms	y
3.0ms	(-.f64 (.f64 x x) (.f64 y y))
3.0ms	(*.f64 y y)
3.0ms	(*.f64 x x)

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 48 to 25 computations (47.9% saved)

regimes37.0ms (2.4%)

Accuracy

Total -47.2b remaining (-407.3%)

Threshold costs -47.2b (-407.3%)

Counts

2 → 7

Calls

Call 1

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

Outputs
(*.f64 x x)
(*.f64 y (neg.f64 y))
(*.f64 x x)
(*.f64 y (neg.f64 y))
(*.f64 x x)
(*.f64 y (neg.f64 y))
(*.f64 x x)

Calls

3 calls:

20.0ms	x
8.0ms	(*.f64 x x)
8.0ms	y

Results

Error	Segments	Branch
11.6b	7	`x`
13.6b	3	`y`
13.7b	4	`(*.f64 x x)`

Compiler

Compiled 20 to 12 computations (40% saved)

bsearch72.0ms (4.6%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
16.0ms	4.8631064998605356e-83	4.3503000626626484e-73
10.0ms	8.377057896305493e-132	2.3137817986265936e-130
7.0ms	7.015753452818661e-145	2.0428339458729045e-144
13.0ms	-2.817667043405355e-116	-1.4732093049591017e-119
12.0ms	-3.171905852251002e-92	-8.450662496276505e-96
13.0ms	-1.3910083717089636e-43	-4.3007069398015275e-47

Results

62.0ms

736×

body

256

valid

Compiler

Compiled 612 to 423 computations (30.9% saved)

simplify12.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

16×	`not-or`
14×	`not-not`
14×	`if-not`
10×	`if-if-or-not`
8×	`+-commutative`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	32	141
1	47	137
2	55	137
3	64	129
4	72	129
5	82	125
6	89	125
7	94	125
8	96	125
9	97	125

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs

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

(if (<=.f64 x -8034690221294951/3213876088517980551083924184682325205044405987565585670602752) (*.f64 x x) (if (<=.f64 x -98638788476501/2348542582773833227889480596789337027375682548908319870707290971532209025114608443463698998384768703031934976) (*.f64 y (neg.f64 y)) (if (<=.f64 x -1242156022966125/44362715105933037753254626946289339254982993206013065202727673289833940924890009968639590497666233249558259375382457149263586525184) (*.f64 x x) (if (<=.f64 x 439347050248359/219673525124179510879420825570604582952621929604585773100622830693937381868724993667921908501166545759273481964527387457187903615990932602002368905315681828864) (*.f64 y (neg.f64 y)) (if (<=.f64 x 6792924845487599/799167628880894011233688890827050574271641124522232614619944181664095165137859998750798362384253944616915694367080095461234681773897801038410285056) (*.f64 x x) (if (<=.f64 x 7822218149124427/2085924839766513752338888384931203236916703635113918720651407820138886450957656787131798913024) (*.f64 y (neg.f64 y)) (*.f64 x x)))))))

(*.f64 x x)

Outputs
(*.f64 (-.f64 x y) (+.f64 x y))
(if (<=.f64 x -8034690221294951/3213876088517980551083924184682325205044405987565585670602752) (.f64 x x) (if (<=.f64 x -98638788476501/2348542582773833227889480596789337027375682548908319870707290971532209025114608443463698998384768703031934976) (.f64 y (neg.f64 y)) (if (<=.f64 x -1242156022966125/44362715105933037753254626946289339254982993206013065202727673289833940924890009968639590497666233249558259375382457149263586525184) (.f64 x x) (if (<=.f64 x 439347050248359/219673525124179510879420825570604582952621929604585773100622830693937381868724993667921908501166545759273481964527387457187903615990932602002368905315681828864) (.f64 y (neg.f64 y)) (if (<=.f64 x 6792924845487599/799167628880894011233688890827050574271641124522232614619944181664095165137859998750798362384253944616915694367080095461234681773897801038410285056) (.f64 x x) (if (<=.f64 x 7822218149124427/2085924839766513752338888384931203236916703635113918720651407820138886450957656787131798913024) (.f64 y (neg.f64 y)) (*.f64 x x)))))))
(if (<=.f64 x -8034690221294951/3213876088517980551083924184682325205044405987565585670602752) (.f64 x x) (if (<=.f64 x -98638788476501/2348542582773833227889480596789337027375682548908319870707290971532209025114608443463698998384768703031934976) (.f64 y (neg.f64 y)) (if (<=.f64 x -1242156022966125/44362715105933037753254626946289339254982993206013065202727673289833940924890009968639590497666233249558259375382457149263586525184) (.f64 x x) (if (<=.f64 x 439347050248359/219673525124179510879420825570604582952621929604585773100622830693937381868724993667921908501166545759273481964527387457187903615990932602002368905315681828864) (.f64 y (neg.f64 y)) (if (or (<=.f64 x 6792924845487599/799167628880894011233688890827050574271641124522232614619944181664095165137859998750798362384253944616915694367080095461234681773897801038410285056) (not (<=.f64 x 7822218149124427/2085924839766513752338888384931203236916703635113918720651407820138886450957656787131798913024))) (.f64 x x) (.f64 y (neg.f64 y)))))))
(if (<=.f64 x -8034690221294951/3213876088517980551083924184682325205044405987565585670602752) (.f64 x x) (if (<=.f64 x -98638788476501/2348542582773833227889480596789337027375682548908319870707290971532209025114608443463698998384768703031934976) (.f64 y (neg.f64 y)) (if (<=.f64 x -1242156022966125/44362715105933037753254626946289339254982993206013065202727673289833940924890009968639590497666233249558259375382457149263586525184) (.f64 x x) (if (or (<=.f64 x 439347050248359/219673525124179510879420825570604582952621929604585773100622830693937381868724993667921908501166545759273481964527387457187903615990932602002368905315681828864) (not (or (<=.f64 x 6792924845487599/799167628880894011233688890827050574271641124522232614619944181664095165137859998750798362384253944616915694367080095461234681773897801038410285056) (not (<=.f64 x 7822218149124427/2085924839766513752338888384931203236916703635113918720651407820138886450957656787131798913024))))) (.f64 y (neg.f64 y)) (*.f64 x x)))))
(if (<=.f64 x -8034690221294951/3213876088517980551083924184682325205044405987565585670602752) (.f64 x x) (if (or (<=.f64 x -98638788476501/2348542582773833227889480596789337027375682548908319870707290971532209025114608443463698998384768703031934976) (not (or (<=.f64 x -1242156022966125/44362715105933037753254626946289339254982993206013065202727673289833940924890009968639590497666233249558259375382457149263586525184) (not (or (<=.f64 x 439347050248359/219673525124179510879420825570604582952621929604585773100622830693937381868724993667921908501166545759273481964527387457187903615990932602002368905315681828864) (and (not (<=.f64 x 6792924845487599/799167628880894011233688890827050574271641124522232614619944181664095165137859998750798362384253944616915694367080095461234681773897801038410285056)) (<=.f64 x 7822218149124427/2085924839766513752338888384931203236916703635113918720651407820138886450957656787131798913024))))))) (.f64 y (neg.f64 y)) (*.f64 x x)))
(if (<=.f64 x -8034690221294951/3213876088517980551083924184682325205044405987565585670602752) (.f64 x x) (if (or (<=.f64 x -98638788476501/2348542582773833227889480596789337027375682548908319870707290971532209025114608443463698998384768703031934976) (and (not (<=.f64 x -1242156022966125/44362715105933037753254626946289339254982993206013065202727673289833940924890009968639590497666233249558259375382457149263586525184)) (or (<=.f64 x 439347050248359/219673525124179510879420825570604582952621929604585773100622830693937381868724993667921908501166545759273481964527387457187903615990932602002368905315681828864) (and (not (<=.f64 x 6792924845487599/799167628880894011233688890827050574271641124522232614619944181664095165137859998750798362384253944616915694367080095461234681773897801038410285056)) (<=.f64 x 7822218149124427/2085924839766513752338888384931203236916703635113918720651407820138886450957656787131798913024))))) (.f64 y (neg.f64 y)) (*.f64 x x)))
(*.f64 x x)

Compiler

Compiled 52 to 33 computations (36.5% saved)

soundness0.0ms (0%)

end28.0ms (1.8%)

Compiler: Compiled 48 to 28 computations (41.7% saved)

Iter	Nodes	Cost
0	32	141
1	47	137
2	55	137
3	64	129
4	72	129
5	82	125
6	89	125
7	94	125
8	96	125
9	97	125

Iter	Nodes	Cost
0	32	141
1	47	137
2	55	137
3	64	129
4	72	129
5	82	125
6	89	125
7	94	125
8	96	125
9	97	125

Details

analyze53.0ms (3.4%)

sample747.0ms (48.1%)

preprocess130.0ms (8.4%)

simplify144.0ms (9.3%)

eval0.0ms (0%)

prune1.0ms (0%)

localize6.0ms (0.4%)

series1.0ms (0.1%)

rewrite55.0ms (3.5%)

simplify70.0ms (4.5%)

eval17.0ms (1.1%)

prune10.0ms (0.7%)

localize3.0ms (0.2%)

localize4.0ms (0.2%)

localize6.0ms (0.4%)

series2.0ms (0.1%)

rewrite60.0ms (3.8%)

simplify50.0ms (3.2%)

eval16.0ms (1.1%)

prune12.0ms (0.7%)

regimes18.0ms (1.2%)

regimes37.0ms (2.4%)

bsearch72.0ms (4.6%)

simplify12.0ms (0.8%)

soundness0.0ms (0%)

end28.0ms (1.8%)

Profiling

Iter	Nodes	Cost
0	32	141
1	47	137
2	55	137
3	64	129
4	72	129
5	82	125
6	89	125
7	94	125
8	96	125
9	97	125