Details

analyze86.0ms (5.7%)

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)

sample790.0ms (52.1%)

Results

752.0ms	8256×	body	256	valid
27.0ms	333×	body	256	infinite

Bogosity

preprocess142.0ms (9.4%)

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)

simplify159.0ms (10.5%)

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)

series2.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite72.0ms (4.8%)

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)))))))

simplify78.0ms (5.2%)

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))

eval14.0ms (0.9%)

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

prune10.0ms (0.7%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	67	3	70
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	68	3	71

Error

Counts

71 → 3

Alt Table

Click to see full alt table

Status	Error	Program
▶	0b	(*.f64 (-.f64 x y) (+.f64 x y))
▶	27.9b	(*.f64 y (neg.f64 y))
▶	28.8b	(*.f64 x x)

Compiler

Compiled 20 to 12 computations (40% saved)

localize3.0ms (0.2%)

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

localize4.0ms (0.3%)

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

localize7.0ms (0.5%)

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

eval0.0ms (0%)

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

prune1.0ms (0.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

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

Error

Counts

3 → 3

Alt Table

Click to see full alt table

Status	Error	Program
✓	0b	(*.f64 (-.f64 x y) (+.f64 x y))
✓	27.9b	(*.f64 y (neg.f64 y))
✓	28.8b	(*.f64 x x)

Compiler

Compiled 20 to 12 computations (40% 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	(-.f64 (.f64 x x) (.f64 y y))
4.0ms	x
3.0ms	y
3.0ms	(*.f64 y y)
3.0ms	(*.f64 x x)

Results

Error	Segments	Branch
0b	1	`x`
0b	1	`y`
0b	1	`(-.f64 (.f64 x x) (.f64 y y))`
0b	1	`(*.f64 x x)`
0b	1	`(*.f64 y y)`

Compiler

Compiled 48 to 25 computations (47.9% saved)

regimes38.0ms (2.5%)

Accuracy

Total -46.8b remaining (-505.9%)

Threshold costs -46.8b (-505.9%)

Counts

2 → 5

Calls

Call 1

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

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

Calls

3 calls:

23.0ms	y
9.0ms	x
5.0ms	(*.f64 x x)

Results

Error	Segments	Branch
9.4b	3	`x`
9.3b	5	`y`
9.6b	2	`(*.f64 x x)`

Compiler

Compiled 20 to 12 computations (40% saved)

bsearch54.0ms (3.5%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
17.0ms	1.9145301637613653e-68	1.4742609030103324e-65
12.0ms	-1.782388358483935e-98	-6.260014319617165e-102
12.0ms	-4.946915417621298e-55	-1.0595643863561336e-58
12.0ms	-1.6669205116719113e-23	-1.8439983716320924e-26

Results

48.0ms

512×

body

256

valid

Compiler

Compiled 430 to 297 computations (30.9% saved)

simplify8.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

8×	`not-or`
8×	`+-commutative`
8×	`*-commutative`
6×	`not-not`
6×	`if-if-or-not`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	26	105
1	41	105
2	49	101
3	58	97
4	63	97
5	67	97
6	68	97
7	69	97

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs

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

(if (<=.f64 y -8885453165039545/87112285931760246646623899502532662132736) (*.f64 y (neg.f64 y)) (if (<=.f64 y -3243820782991565/6901746346790563787434755862277025452451108972170386555162524223799296) (*.f64 x x) (if (<=.f64 y -207784017051299/19239260838083241802870625048898248928261591440656956380834127638791856333738872368854622194768025215237611323392) (*.f64 y (neg.f64 y)) (if (<=.f64 y 6070840288205403/60708402882054033466233184588234965832575213720379360039119137804340758912662765568) (*.f64 x x) (*.f64 y (neg.f64 y))))))

(*.f64 x x)

Outputs
(*.f64 (-.f64 x y) (+.f64 x y))
(if (<=.f64 y -8885453165039545/87112285931760246646623899502532662132736) (.f64 y (neg.f64 y)) (if (<=.f64 y -3243820782991565/6901746346790563787434755862277025452451108972170386555162524223799296) (.f64 x x) (if (<=.f64 y -207784017051299/19239260838083241802870625048898248928261591440656956380834127638791856333738872368854622194768025215237611323392) (.f64 y (neg.f64 y)) (if (<=.f64 y 6070840288205403/60708402882054033466233184588234965832575213720379360039119137804340758912662765568) (.f64 x x) (*.f64 y (neg.f64 y))))))
(if (<=.f64 y -8885453165039545/87112285931760246646623899502532662132736) (.f64 y (neg.f64 y)) (if (<=.f64 y -3243820782991565/6901746346790563787434755862277025452451108972170386555162524223799296) (.f64 x x) (if (or (<=.f64 y -207784017051299/19239260838083241802870625048898248928261591440656956380834127638791856333738872368854622194768025215237611323392) (not (<=.f64 y 6070840288205403/60708402882054033466233184588234965832575213720379360039119137804340758912662765568))) (.f64 y (neg.f64 y)) (.f64 x x))))
(if (or (<=.f64 y -8885453165039545/87112285931760246646623899502532662132736) (not (or (<=.f64 y -3243820782991565/6901746346790563787434755862277025452451108972170386555162524223799296) (not (or (<=.f64 y -207784017051299/19239260838083241802870625048898248928261591440656956380834127638791856333738872368854622194768025215237611323392) (not (<=.f64 y 6070840288205403/60708402882054033466233184588234965832575213720379360039119137804340758912662765568))))))) (.f64 y (neg.f64 y)) (.f64 x x))
(if (or (<=.f64 y -8885453165039545/87112285931760246646623899502532662132736) (not (or (<=.f64 y -3243820782991565/6901746346790563787434755862277025452451108972170386555162524223799296) (and (not (<=.f64 y -207784017051299/19239260838083241802870625048898248928261591440656956380834127638791856333738872368854622194768025215237611323392)) (<=.f64 y 6070840288205403/60708402882054033466233184588234965832575213720379360039119137804340758912662765568))))) (.f64 y (neg.f64 y)) (.f64 x x))
(*.f64 x x)

Compiler

Compiled 41 to 27 computations (34.1% saved)

soundness0.0ms (0%)

end24.0ms (1.6%)

Compiler: Compiled 37 to 22 computations (40.5% saved)

Details

analyze86.0ms (5.7%)

sample790.0ms (52.1%)

preprocess142.0ms (9.4%)

simplify159.0ms (10.5%)

eval0.0ms (0%)

prune1.0ms (0%)

localize6.0ms (0.4%)

series2.0ms (0.1%)

rewrite72.0ms (4.8%)

simplify78.0ms (5.2%)

eval14.0ms (0.9%)

prune10.0ms (0.7%)

localize3.0ms (0.2%)

localize4.0ms (0.3%)

localize7.0ms (0.5%)

eval0.0ms (0%)

prune1.0ms (0.1%)

regimes18.0ms (1.2%)

regimes38.0ms (2.5%)

bsearch54.0ms (3.5%)

simplify8.0ms (0.5%)

soundness0.0ms (0%)

end24.0ms (1.6%)

Profiling