Details

analyze50.0ms (2.8%)

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)

sample719.0ms (40.7%)

Results

680.0ms	8256×	body	256	valid
25.0ms	336×	body	256	infinite

Bogosity

preprocess140.0ms (7.9%)

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 (9%)

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

0.03%

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.03%	(-.f64 (.f64 x x) (.f64 y y))

Compiler

Compiled 9 to 5 computations (44.4% saved)

localize6.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.03%	(-.f64 (.f64 x x) (.f64 y y))

Compiler

Compiled 17 to 5 computations (70.6% saved)

series1.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite56.0ms (3.2%)

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)))))))

simplify77.0ms (4.4%)

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))

eval13.0ms (0.8%)

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

prune9.0ms (0.5%)

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
▶	0%	(*.f64 (-.f64 x y) (+.f64 x y))
▶	45.39%	(*.f64 y (neg.f64 y))
▶	43.65%	(*.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 (0.2%)

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

localize6.0ms (0.3%)

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
✓	0%	(*.f64 (-.f64 x y) (+.f64 x y))
✓	45.39%	(*.f64 y (neg.f64 y))
✓	43.65%	(*.f64 x x)

Compiler

Compiled 20 to 12 computations (40% saved)

regimes17.0ms (1%)

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

Results

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

Compiler

Compiled 48 to 25 computations (47.9% saved)

regimes36.0ms (2%)

Accuracy

Total -46.8b remaining (-506.6%)

Threshold costs -46.8b (-506.6%)

Counts

2 → 6

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))
(*.f64 x x)

Calls

3 calls:

12.0ms	x
12.0ms	(*.f64 x x)
11.0ms	y

Results

Error	Segments	Branch
17.76%	3	`x`
17.05%	3	`y`
14.43%	6	`(*.f64 x x)`

Compiler

Compiled 20 to 12 computations (40% saved)

bsearch57.0ms (3.2%)

Algorithm

5×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	1.975270914801301e+53	7.621059953050822e+59
7.0ms	2.7433938903647293e+46	8.825968880779713e+46
14.0ms	7.027958280560558e-168	3.1376970085641786e-166
7.0ms	8.546198080516001e-236	1.8306014030869865e-235
15.0ms	6.012515177750864e-262	1.5037361832769947e-249

Results

51.0ms

576×

body

256

valid

Compiler

Compiled 410 to 297 computations (27.6% saved)

simplify239.0ms (13.5%)

Algorithm

1×	egg-herbie

Rules

12×	`not-or`
10×	`not-not`
10×	`if-not`
8×	`+-commutative`
8×	`if-if-or-not`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	29	155
1	44	151
2	52	151
3	61	143
4	69	143
5	76	139
6	80	139
7	82	139
8	83	139

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs

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

(if (<=.f64 (*.f64 x x) 3708122014196869/16122269626942909129404900662735492142298807557254685123533957184651913530173488143140175045399694454793530120643833272670970079330526292030350920973600450955456136596649325078391464772840162385651374295294530896122681527488756156580761624107880751845994219387748352) (*.f64 y (neg.f64 y)) (if (<=.f64 (*.f64 x x) 6758781324760091/57277807836949922408837567867349676981443478344341305058882899404622128010705808318690568531649256750858719018437999440148793721514146753400890052083129159241025748615958424204533602522957957552490080016463490494951861107213475167230717574212948590592) (*.f64 x x) (if (<=.f64 (*.f64 x x) 8962953628782945/33196124551047943668099262909529289208099569857939495199965258637525222491303265171197656391576830354305583092890406313459161208603294202463094998672911709496489454427212076189483008) (*.f64 y (neg.f64 y)) (if (<=.f64 (*.f64 x x) 86000000000000000931205157365319113145912918016) (*.f64 x x) (if (<=.f64 (*.f64 x x) 199999999999999998644189734872325595292341688388812800) (*.f64 y (neg.f64 y)) (*.f64 x x))))))

(*.f64 x x)

Outputs
(*.f64 (-.f64 x y) (+.f64 x y))
(if (<=.f64 (.f64 x x) 3708122014196869/16122269626942909129404900662735492142298807557254685123533957184651913530173488143140175045399694454793530120643833272670970079330526292030350920973600450955456136596649325078391464772840162385651374295294530896122681527488756156580761624107880751845994219387748352) (.f64 y (neg.f64 y)) (if (<=.f64 (.f64 x x) 6758781324760091/57277807836949922408837567867349676981443478344341305058882899404622128010705808318690568531649256750858719018437999440148793721514146753400890052083129159241025748615958424204533602522957957552490080016463490494951861107213475167230717574212948590592) (.f64 x x) (if (<=.f64 (.f64 x x) 8962953628782945/33196124551047943668099262909529289208099569857939495199965258637525222491303265171197656391576830354305583092890406313459161208603294202463094998672911709496489454427212076189483008) (.f64 y (neg.f64 y)) (if (<=.f64 (.f64 x x) 86000000000000000931205157365319113145912918016) (.f64 x x) (if (<=.f64 (.f64 x x) 199999999999999998644189734872325595292341688388812800) (.f64 y (neg.f64 y)) (*.f64 x x))))))
(if (<=.f64 (.f64 x x) 3708122014196869/16122269626942909129404900662735492142298807557254685123533957184651913530173488143140175045399694454793530120643833272670970079330526292030350920973600450955456136596649325078391464772840162385651374295294530896122681527488756156580761624107880751845994219387748352) (.f64 y (neg.f64 y)) (if (<=.f64 (.f64 x x) 6758781324760091/57277807836949922408837567867349676981443478344341305058882899404622128010705808318690568531649256750858719018437999440148793721514146753400890052083129159241025748615958424204533602522957957552490080016463490494951861107213475167230717574212948590592) (.f64 x x) (if (or (<=.f64 (.f64 x x) 8962953628782945/33196124551047943668099262909529289208099569857939495199965258637525222491303265171197656391576830354305583092890406313459161208603294202463094998672911709496489454427212076189483008) (not (or (<=.f64 (.f64 x x) 86000000000000000931205157365319113145912918016) (not (<=.f64 (.f64 x x) 199999999999999998644189734872325595292341688388812800))))) (.f64 y (neg.f64 y)) (*.f64 x x))))
(if (or (<=.f64 (.f64 x x) 3708122014196869/16122269626942909129404900662735492142298807557254685123533957184651913530173488143140175045399694454793530120643833272670970079330526292030350920973600450955456136596649325078391464772840162385651374295294530896122681527488756156580761624107880751845994219387748352) (not (or (<=.f64 (.f64 x x) 6758781324760091/57277807836949922408837567867349676981443478344341305058882899404622128010705808318690568531649256750858719018437999440148793721514146753400890052083129159241025748615958424204533602522957957552490080016463490494951861107213475167230717574212948590592) (not (or (<=.f64 (.f64 x x) 8962953628782945/33196124551047943668099262909529289208099569857939495199965258637525222491303265171197656391576830354305583092890406313459161208603294202463094998672911709496489454427212076189483008) (and (not (<=.f64 (.f64 x x) 86000000000000000931205157365319113145912918016)) (<=.f64 (.f64 x x) 199999999999999998644189734872325595292341688388812800))))))) (.f64 y (neg.f64 y)) (*.f64 x x))
(if (or (<=.f64 (.f64 x x) 3708122014196869/16122269626942909129404900662735492142298807557254685123533957184651913530173488143140175045399694454793530120643833272670970079330526292030350920973600450955456136596649325078391464772840162385651374295294530896122681527488756156580761624107880751845994219387748352) (and (not (<=.f64 (.f64 x x) 6758781324760091/57277807836949922408837567867349676981443478344341305058882899404622128010705808318690568531649256750858719018437999440148793721514146753400890052083129159241025748615958424204533602522957957552490080016463490494951861107213475167230717574212948590592)) (or (<=.f64 (.f64 x x) 8962953628782945/33196124551047943668099262909529289208099569857939495199965258637525222491303265171197656391576830354305583092890406313459161208603294202463094998672911709496489454427212076189483008) (and (not (<=.f64 (.f64 x x) 86000000000000000931205157365319113145912918016)) (<=.f64 (.f64 x x) 199999999999999998644189734872325595292341688388812800))))) (.f64 y (neg.f64 y)) (*.f64 x x))
(*.f64 x x)

Compiler

Compiled 55 to 30 computations (45.5% saved)

soundness0.0ms (0%)

end175.0ms (9.9%)

Compiler: Compiled 51 to 25 computations (51% saved)

Details

analyze50.0ms (2.8%)

sample719.0ms (40.7%)

preprocess140.0ms (7.9%)

simplify159.0ms (9%)

eval0.0ms (0%)

prune1.0ms (0%)

localize6.0ms (0.3%)

series1.0ms (0.1%)

rewrite56.0ms (3.2%)

simplify77.0ms (4.4%)

eval13.0ms (0.8%)

prune9.0ms (0.5%)

localize3.0ms (0.2%)

localize4.0ms (0.2%)

localize6.0ms (0.3%)

eval0.0ms (0%)

prune1.0ms (0.1%)

regimes17.0ms (1%)

regimes36.0ms (2%)

bsearch57.0ms (3.2%)

simplify239.0ms (13.5%)

soundness0.0ms (0%)

end175.0ms (9.9%)

Profiling