Details

analyze128.0ms (2.5%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
15.6%	84.3%	0.1%	6
39%	60.9%	0.1%	7
51.5%	48.4%	0.1%	8
66%	34%	0.1%	9
73.8%	26.1%	0.1%	10
82%	17.9%	0.1%	11
86.3%	13.6%	0.1%	12

Compiler

Compiled 10 to 6 computations (40% saved)

sample889.0ms (17.3%)

Results

877.0ms

8256×

body

256

valid

preprocess71.0ms (1.4%)

Algorithm

2×	egg-herbie

Rules

1022×	`fma-neg_binary64`
485×	`div-sub_binary64`
480×	`times-frac_binary64`
259×	`associate-/l*_binary64`
250×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	20
1	22	20
2	34	20
3	54	20
4	104	20
5	192	20
6	319	20
7	676	20
8	1930	20
9	3892	20
10	4645	20
11	4722	20
12	4800	20
13	4830	20
14	4854	20
15	4876	20
16	4902	20
17	5076	20
0	2	2

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify52.0ms (1%)

Algorithm

1×	egg-herbie

Rules

801×	`fma-def_binary64`
511×	`fma-neg_binary64`
363×	`times-frac_binary64`
334×	`div-sub_binary64`
143×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	10
1	12	10
2	19	10
3	30	10
4	57	10
5	93	10
6	154	10
7	244	10
8	437	10
9	990	10
10	2383	10
11	3170	10
12	3927	10
13	3974	10
14	3996	10
15	4016	10
16	4016	10

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

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

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

Compiler

Compiled 9 to 5 computations (44.4% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 17 to 5 computations (70.6% saved)

series4.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite44.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

959×	`pow1_binary64`
898×	`add-log-exp_binary64`
898×	`log1p-expm1-u_binary64`
898×	`expm1-log1p-u_binary64`
78×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	10
1	143	10
2	2294	10

Stop Event

1×	node limit

Counts

1 → 36

Calls

Call 1

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

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

Outputs

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

simplify43.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

546×	`times-frac_binary64`
477×	`fma-def_binary64`
360×	`div-sub_binary64`
327×	`sub-neg_binary64`
322×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	77	507
1	256	444
2	889	354
3	4560	354

Stop Event

1×	node limit

Counts

60 → 59

Calls

Call 1

Inputs
-1
(-.f64 (*.f64 2 (/.f64 x y)) 1)
(-.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (.f64 2 (/.f64 x y))) 1)
(-.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (.f64 2 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 2 (/.f64 x y)))) 1)
1
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 y x))) (/.f64 y x))
(-.f64 (+.f64 1 (+.f64 (.f64 -1 (/.f64 (.f64 y (-.f64 (.f64 -1 y) y)) (pow.f64 x 2))) (.f64 -1 (/.f64 y x)))) (/.f64 y x))
(-.f64 (+.f64 (/.f64 (.f64 (pow.f64 y 2) (-.f64 (.f64 -1 y) y)) (pow.f64 x 3)) (+.f64 1 (+.f64 (.f64 -1 (/.f64 (.f64 y (-.f64 (.f64 -1 y) y)) (pow.f64 x 2))) (.f64 -1 (/.f64 y x))))) (/.f64 y x))
1
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 y x))) (/.f64 y x))
(-.f64 (+.f64 1 (+.f64 (.f64 -1 (/.f64 (.f64 y (-.f64 (.f64 -1 y) y)) (pow.f64 x 2))) (.f64 -1 (/.f64 y x)))) (/.f64 y x))
(-.f64 (+.f64 (/.f64 (.f64 (pow.f64 y 2) (-.f64 (.f64 -1 y) y)) (pow.f64 x 3)) (+.f64 1 (+.f64 (.f64 -1 (/.f64 (.f64 y (-.f64 (.f64 -1 y) y)) (pow.f64 x 2))) (.f64 -1 (/.f64 y x))))) (/.f64 y x))
1
(+.f64 1 (*.f64 -2 (/.f64 y x)))
(+.f64 1 (+.f64 (.f64 -2 (/.f64 y x)) (.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))
(+.f64 (.f64 -2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 1 (+.f64 (.f64 -2 (/.f64 y x)) (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))))
-1
(-.f64 (/.f64 x y) (+.f64 1 (*.f64 -1 (/.f64 x y))))
(-.f64 (+.f64 (/.f64 x y) (.f64 -1 (/.f64 (.f64 (-.f64 x (.f64 -1 x)) x) (pow.f64 y 2)))) (+.f64 1 (.f64 -1 (/.f64 x y))))
(-.f64 (+.f64 (/.f64 (.f64 (-.f64 x (.f64 -1 x)) (pow.f64 x 2)) (pow.f64 y 3)) (+.f64 (/.f64 x y) (.f64 -1 (/.f64 (.f64 (-.f64 x (.f64 -1 x)) x) (pow.f64 y 2))))) (+.f64 1 (.f64 -1 (/.f64 x y))))
-1
(-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 x) x) y)) 1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 x) x) y)) (/.f64 (.f64 (-.f64 (.f64 -1 x) x) x) (pow.f64 y 2))) 1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 x) x) y)) (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 -1 x) x) (pow.f64 x 2)) (pow.f64 y 3))) (/.f64 (.f64 (-.f64 (*.f64 -1 x) x) x) (pow.f64 y 2)))) 1)

Outputs
-1
(-.f64 (*.f64 2 (/.f64 x y)) 1)
(fma.f64 2 (/.f64 x y) -1)
(-.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (.f64 2 (/.f64 x y))) 1)
(+.f64 (/.f64 (.f64 -2 (.f64 x x)) (*.f64 y y)) (fma.f64 2 (/.f64 x y) -1))
(fma.f64 -2 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 2 (/.f64 x y) -1))
(+.f64 -1 (.f64 (/.f64 x y) (+.f64 (.f64 (/.f64 x y) -2) 2)))
(+.f64 -1 (.f64 (/.f64 x y) (+.f64 2 (.f64 (/.f64 x y) -2))))
(-.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (.f64 2 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 2 (/.f64 x y)))) 1)
(+.f64 (fma.f64 -2 (/.f64 (.f64 x x) (.f64 y y)) (*.f64 2 (+.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 x y)))) -1)
(fma.f64 -2 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 2 (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) -1))
(fma.f64 2 (pow.f64 (/.f64 x y) 3) (+.f64 -1 (.f64 (/.f64 x y) (+.f64 (.f64 (/.f64 x y) -2) 2))))
(+.f64 (.f64 (/.f64 x y) (+.f64 2 (.f64 (/.f64 x y) -2))) (fma.f64 2 (pow.f64 (/.f64 x y) 3) -1))
1
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 y x))) (/.f64 y x))
(+.f64 1 (-.f64 (/.f64 (neg.f64 y) x) (/.f64 y x)))
(-.f64 (-.f64 1 (/.f64 y x)) (/.f64 y x))
(fma.f64 -2 (/.f64 y x) 1)
(-.f64 (+.f64 1 (+.f64 (.f64 -1 (/.f64 (.f64 y (-.f64 (.f64 -1 y) y)) (pow.f64 x 2))) (.f64 -1 (/.f64 y x)))) (/.f64 y x))
(+.f64 1 (-.f64 (.f64 -1 (+.f64 (/.f64 y (/.f64 (.f64 x x) (-.f64 (neg.f64 y) y))) (/.f64 y x))) (/.f64 y x)))
(-.f64 (-.f64 (-.f64 1 (.f64 (/.f64 y x) (.f64 -2 (/.f64 y x)))) (/.f64 y x)) (/.f64 y x))
(fma.f64 2 (/.f64 (.f64 y y) (.f64 x x)) (fma.f64 -2 (/.f64 y x) 1))
(fma.f64 2 (/.f64 y (*.f64 x (/.f64 x y))) (fma.f64 -2 (/.f64 y x) 1))
(-.f64 (+.f64 (/.f64 (.f64 (pow.f64 y 2) (-.f64 (.f64 -1 y) y)) (pow.f64 x 3)) (+.f64 1 (+.f64 (.f64 -1 (/.f64 (.f64 y (-.f64 (.f64 -1 y) y)) (pow.f64 x 2))) (.f64 -1 (/.f64 y x))))) (/.f64 y x))
(+.f64 (/.f64 (.f64 y y) (/.f64 (pow.f64 x 3) (-.f64 (neg.f64 y) y))) (+.f64 1 (-.f64 (.f64 -1 (+.f64 (/.f64 y (/.f64 (*.f64 x x) (-.f64 (neg.f64 y) y))) (/.f64 y x))) (/.f64 y x))))
(+.f64 (-.f64 (-.f64 1 (.f64 (/.f64 y x) (.f64 -2 (/.f64 y x)))) (/.f64 y x)) (-.f64 (*.f64 -2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (/.f64 y x)))
(fma.f64 -2 (pow.f64 (/.f64 y x) 3) (fma.f64 2 (/.f64 (.f64 y y) (.f64 x x)) (fma.f64 -2 (/.f64 y x) 1)))
(fma.f64 -2 (pow.f64 (/.f64 y x) 3) (fma.f64 2 (/.f64 y (*.f64 x (/.f64 x y))) (fma.f64 -2 (/.f64 y x) 1)))
1
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 y x))) (/.f64 y x))
(+.f64 1 (-.f64 (/.f64 (neg.f64 y) x) (/.f64 y x)))
(-.f64 (-.f64 1 (/.f64 y x)) (/.f64 y x))
(fma.f64 -2 (/.f64 y x) 1)
(-.f64 (+.f64 1 (+.f64 (.f64 -1 (/.f64 (.f64 y (-.f64 (.f64 -1 y) y)) (pow.f64 x 2))) (.f64 -1 (/.f64 y x)))) (/.f64 y x))
(+.f64 1 (-.f64 (.f64 -1 (+.f64 (/.f64 y (/.f64 (.f64 x x) (-.f64 (neg.f64 y) y))) (/.f64 y x))) (/.f64 y x)))
(-.f64 (-.f64 (-.f64 1 (.f64 (/.f64 y x) (.f64 -2 (/.f64 y x)))) (/.f64 y x)) (/.f64 y x))
(fma.f64 2 (/.f64 (.f64 y y) (.f64 x x)) (fma.f64 -2 (/.f64 y x) 1))
(fma.f64 2 (/.f64 y (*.f64 x (/.f64 x y))) (fma.f64 -2 (/.f64 y x) 1))
(-.f64 (+.f64 (/.f64 (.f64 (pow.f64 y 2) (-.f64 (.f64 -1 y) y)) (pow.f64 x 3)) (+.f64 1 (+.f64 (.f64 -1 (/.f64 (.f64 y (-.f64 (.f64 -1 y) y)) (pow.f64 x 2))) (.f64 -1 (/.f64 y x))))) (/.f64 y x))
(+.f64 (/.f64 (.f64 y y) (/.f64 (pow.f64 x 3) (-.f64 (neg.f64 y) y))) (+.f64 1 (-.f64 (.f64 -1 (+.f64 (/.f64 y (/.f64 (*.f64 x x) (-.f64 (neg.f64 y) y))) (/.f64 y x))) (/.f64 y x))))
(+.f64 (-.f64 (-.f64 1 (.f64 (/.f64 y x) (.f64 -2 (/.f64 y x)))) (/.f64 y x)) (-.f64 (*.f64 -2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (/.f64 y x)))
(fma.f64 -2 (pow.f64 (/.f64 y x) 3) (fma.f64 2 (/.f64 (.f64 y y) (.f64 x x)) (fma.f64 -2 (/.f64 y x) 1)))
(fma.f64 -2 (pow.f64 (/.f64 y x) 3) (fma.f64 2 (/.f64 y (*.f64 x (/.f64 x y))) (fma.f64 -2 (/.f64 y x) 1)))
1
(+.f64 1 (*.f64 -2 (/.f64 y x)))
(+.f64 1 (-.f64 (/.f64 (neg.f64 y) x) (/.f64 y x)))
(-.f64 (-.f64 1 (/.f64 y x)) (/.f64 y x))
(fma.f64 -2 (/.f64 y x) 1)
(+.f64 1 (+.f64 (.f64 -2 (/.f64 y x)) (.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))
(+.f64 1 (-.f64 (.f64 -1 (+.f64 (/.f64 y (/.f64 (.f64 x x) (-.f64 (neg.f64 y) y))) (/.f64 y x))) (/.f64 y x)))
(-.f64 (-.f64 (-.f64 1 (.f64 (/.f64 y x) (.f64 -2 (/.f64 y x)))) (/.f64 y x)) (/.f64 y x))
(fma.f64 2 (/.f64 (.f64 y y) (.f64 x x)) (fma.f64 -2 (/.f64 y x) 1))
(fma.f64 2 (/.f64 y (*.f64 x (/.f64 x y))) (fma.f64 -2 (/.f64 y x) 1))
(+.f64 (.f64 -2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 1 (+.f64 (.f64 -2 (/.f64 y x)) (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))))
(+.f64 (/.f64 (.f64 y y) (/.f64 (pow.f64 x 3) (-.f64 (neg.f64 y) y))) (+.f64 1 (-.f64 (.f64 -1 (+.f64 (/.f64 y (/.f64 (*.f64 x x) (-.f64 (neg.f64 y) y))) (/.f64 y x))) (/.f64 y x))))
(+.f64 (-.f64 (-.f64 1 (.f64 (/.f64 y x) (.f64 -2 (/.f64 y x)))) (/.f64 y x)) (-.f64 (*.f64 -2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (/.f64 y x)))
(fma.f64 -2 (pow.f64 (/.f64 y x) 3) (fma.f64 2 (/.f64 (.f64 y y) (.f64 x x)) (fma.f64 -2 (/.f64 y x) 1)))
(fma.f64 -2 (pow.f64 (/.f64 y x) 3) (fma.f64 2 (/.f64 y (*.f64 x (/.f64 x y))) (fma.f64 -2 (/.f64 y x) 1)))
-1
(-.f64 (/.f64 x y) (+.f64 1 (*.f64 -1 (/.f64 x y))))
(fma.f64 2 (/.f64 x y) -1)
(-.f64 (+.f64 (/.f64 x y) (.f64 -1 (/.f64 (.f64 (-.f64 x (.f64 -1 x)) x) (pow.f64 y 2)))) (+.f64 1 (.f64 -1 (/.f64 x y))))
(+.f64 (/.f64 (.f64 -2 (.f64 x x)) (*.f64 y y)) (fma.f64 2 (/.f64 x y) -1))
(fma.f64 -2 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 2 (/.f64 x y) -1))
(+.f64 -1 (.f64 (/.f64 x y) (+.f64 (.f64 (/.f64 x y) -2) 2)))
(+.f64 -1 (.f64 (/.f64 x y) (+.f64 2 (.f64 (/.f64 x y) -2))))
(-.f64 (+.f64 (/.f64 (.f64 (-.f64 x (.f64 -1 x)) (pow.f64 x 2)) (pow.f64 y 3)) (+.f64 (/.f64 x y) (.f64 -1 (/.f64 (.f64 (-.f64 x (.f64 -1 x)) x) (pow.f64 y 2))))) (+.f64 1 (.f64 -1 (/.f64 x y))))
(+.f64 (fma.f64 -2 (/.f64 (.f64 x x) (.f64 y y)) (*.f64 2 (+.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 x y)))) -1)
(fma.f64 -2 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 2 (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) -1))
(fma.f64 2 (pow.f64 (/.f64 x y) 3) (+.f64 -1 (.f64 (/.f64 x y) (+.f64 (.f64 (/.f64 x y) -2) 2))))
(+.f64 (.f64 (/.f64 x y) (+.f64 2 (.f64 (/.f64 x y) -2))) (fma.f64 2 (pow.f64 (/.f64 x y) 3) -1))
-1
(-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 x) x) y)) 1)
(fma.f64 2 (/.f64 x y) -1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 x) x) y)) (/.f64 (.f64 (-.f64 (.f64 -1 x) x) x) (pow.f64 y 2))) 1)
(+.f64 (/.f64 (.f64 -2 (.f64 x x)) (*.f64 y y)) (fma.f64 2 (/.f64 x y) -1))
(fma.f64 -2 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 2 (/.f64 x y) -1))
(+.f64 -1 (.f64 (/.f64 x y) (+.f64 (.f64 (/.f64 x y) -2) 2)))
(+.f64 -1 (.f64 (/.f64 x y) (+.f64 2 (.f64 (/.f64 x y) -2))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 x) x) y)) (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 -1 x) x) (pow.f64 x 2)) (pow.f64 y 3))) (/.f64 (.f64 (-.f64 (*.f64 -1 x) x) x) (pow.f64 y 2)))) 1)
(+.f64 (fma.f64 -2 (/.f64 (.f64 x x) (.f64 y y)) (*.f64 2 (+.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 x y)))) -1)
(fma.f64 -2 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 2 (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) -1))
(fma.f64 2 (pow.f64 (/.f64 x y) 3) (+.f64 -1 (.f64 (/.f64 x y) (+.f64 (.f64 (/.f64 x y) -2) 2))))
(+.f64 (.f64 (/.f64 x y) (+.f64 2 (.f64 (/.f64 x y) -2))) (fma.f64 2 (pow.f64 (/.f64 x y) 3) -1))

eval13.0ms (0.3%)

Compiler: Compiled 879 to 400 computations (54.5% saved)

prune13.0ms (0.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	52	7	59
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	52	8	60

Error

Counts

60 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(/.f64 (-.f64 x y) (+.f64 x y))
▶	0.2b	(*.f64 (-.f64 x y) (/.f64 1 (+.f64 x y)))
▶	27.3b	(-.f64 (*.f64 2 (/.f64 x y)) 1)
	28.3b	-1
▶	35.5b	(+.f64 1 (*.f64 -2 (/.f64 y x)))
▶	0.0b	(-.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 x y)))
	36.3b	1
▶	0.0b	(cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 3))

Compiler

Compiled 123 to 81 computations (34.1% saved)

localize8.0ms (0.2%)

Local error

Found 6 expressions with local error:

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

Compiler

Compiled 28 to 6 computations (78.6% saved)

series9.0ms (0.2%)

Counts

3 → 72

Calls

18 calls:

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

rewrite90.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

514×	`log-prod_binary64`
498×	`fma-def_binary64`
394×	`pow-prod-down_binary64`
259×	`pow2_binary64`
256×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	24
1	175	24
2	3071	24

Stop Event

1×	node limit

Counts

3 → 313

Calls

Call 1

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

Outputs
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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 x (+.f64 x y)) (.f64 y (+.f64 x y))) (pow.f64 (+.f64 x y) 2))))) (#(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 (/.f64 x (+.f64 x y)) 3) (pow.f64 (/.f64 (+.f64 x y) y) -3)) (+.f64 (/.f64 y (+.f64 x y)) (pow.f64 (/.f64 x (+.f64 x y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (.f64 x (+.f64 x y)) (.f64 y (+.f64 x y)))) (neg.f64 (pow.f64 (+.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 x y)) (neg.f64 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x (+.f64 x y)) 3) (pow.f64 (/.f64 (+.f64 x y) y) -3))) (neg.f64 (+.f64 (/.f64 y (+.f64 x y)) (pow.f64 (/.f64 x (+.f64 x y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (-.f64 x y) (+.f64 x y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 x y) 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Outputs

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y)) (/.f64 y (+.f64 x y))) (pow.f64 (/.f64 y (+.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (*.f64 (/.f64 1 (+.f64 x y)) (/.f64 y (+.f64 x y))) (/.f64 (*.f64 x y) (pow.f64 (+.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 x y)) (pow.f64 (/.f64 y (+.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 y (+.f64 x y)) (/.f64 x (+.f64 x y)) (pow.f64 (/.f64 y (+.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 y (+.f64 x y)) (/.f64 y (+.f64 x y)) (/.f64 (*.f64 x y) (pow.f64 (+.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 (/.f64 y (+.f64 x y)) 2) (/.f64 (*.f64 x y) (pow.f64 (+.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 (*.f64 x y) (pow.f64 (+.f64 x y) 2)) (pow.f64 (/.f64 y (+.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y y) (pow.f64 (+.f64 x y) -2) (/.f64 (*.f64 x y) (pow.f64 (+.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 y (+.f64 x y))) 2) (pow.f64 (cbrt.f64 (/.f64 y (+.f64 x y))) 4) (/.f64 (*.f64 x y) (pow.f64 (+.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) 2) (*.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) (/.f64 y (+.f64 x y))) (pow.f64 (/.f64 y (+.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 y (+.f64 x y))) (pow.f64 (/.f64 y (+.f64 x y)) 3/2) (/.f64 (*.f64 x y) (pow.f64 (+.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 x (+.f64 x y))) (*.f64 (sqrt.f64 (/.f64 x (+.f64 x y))) (/.f64 y (+.f64 x y))) (pow.f64 (/.f64 y (+.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 y (+.f64 x y))) 4) (pow.f64 (cbrt.f64 (/.f64 y (+.f64 x y))) 2) (/.f64 (*.f64 x y) (pow.f64 (+.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (/.f64 y (+.f64 x y)) 3/2) (sqrt.f64 (/.f64 y (+.f64 x y))) (/.f64 (*.f64 x y) (pow.f64 (+.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 x y) (pow.f64 (+.f64 x y) 2))) 2) (cbrt.f64 (/.f64 (*.f64 x y) (pow.f64 (+.f64 x y) 2))) (pow.f64 (/.f64 y (+.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (*.f64 x y) (pow.f64 (+.f64 x y) 2))) (sqrt.f64 (/.f64 (*.f64 x y) (pow.f64 (+.f64 x y) 2))) (pow.f64 (/.f64 y (+.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 y (+.f64 x y)) y) (/.f64 1 (+.f64 x y)) (/.f64 (*.f64 x y) (pow.f64 (+.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 x (+.f64 x y)) y) (/.f64 1 (+.f64 x y)) (pow.f64 (/.f64 y (+.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 y (+.f64 x y))) 5) (cbrt.f64 (/.f64 y (+.f64 x y))) (/.f64 (*.f64 x y) (pow.f64 (+.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 x (+.f64 x y)) (pow.f64 (cbrt.f64 (/.f64 y (+.f64 x y))) 2)) (cbrt.f64 (/.f64 y (+.f64 x y))) (pow.f64 (/.f64 y (+.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 x (+.f64 x y)) (sqrt.f64 (/.f64 y (+.f64 x y)))) (sqrt.f64 (/.f64 y (+.f64 x y))) (pow.f64 (/.f64 y (+.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 y (+.f64 x y))))))))

simplify66.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

544×	`fma-def_binary64`
513×	`sub-neg_binary64`
409×	`times-frac_binary64`
379×	`distribute-rgt-neg-in_binary64`
292×	`distribute-neg-frac_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	102	1451
1	344	1343
2	1065	1140
3	5038	1098

Stop Event

1×	node limit

Counts

385 → 365

Calls

Call 1

Inputs
-1
(-.f64 (*.f64 2 (/.f64 x y)) 1)
(-.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (.f64 2 (/.f64 x y))) 1)
(-.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (.f64 2 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 2 (/.f64 x y)))) 1)
1
(+.f64 1 (*.f64 -2 (/.f64 y x)))
(-.f64 (+.f64 1 (+.f64 (.f64 -2 (/.f64 y x)) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))) (.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(-.f64 (+.f64 1 (+.f64 (.f64 -2 (/.f64 y x)) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3)))))) (+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))
1
(+.f64 1 (.f64 -1 (/.f64 (-.f64 y (.f64 -1 y)) x)))
(+.f64 1 (+.f64 (.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (.f64 -1 (/.f64 (-.f64 y (*.f64 -1 y)) x))))
(+.f64 (.f64 -2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 1 (+.f64 (.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (.f64 -1 (/.f64 (-.f64 y (.f64 -1 y)) x)))))
1
(+.f64 1 (*.f64 -2 (/.f64 y x)))
(+.f64 1 (+.f64 (.f64 -2 (/.f64 y x)) (.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))
(+.f64 (.f64 -2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 1 (+.f64 (.f64 -2 (/.f64 y x)) (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))))
-1
(-.f64 (*.f64 2 (/.f64 x y)) 1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (.f64 2 (/.f64 x y))) (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) 1))
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (.f64 2 (/.f64 x y)) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 1 (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))))
-1
(-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 x) x) y)) 1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 x) x) y)) (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) 1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 x) x) y)) (+.f64 (.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (.f64 2 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))) 1)
(/.f64 x y)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
1
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (*.f64 -1 (/.f64 y x))))
(+.f64 1 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (.f64 -1 (/.f64 y x)))))
1
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (*.f64 -1 (/.f64 y x))))
(+.f64 1 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (.f64 -1 (/.f64 y x)))))
1
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (*.f64 -1 (/.f64 y x))))
(+.f64 1 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (.f64 -1 (/.f64 y x)))))
(/.f64 x y)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(/.f64 x y)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(/.f64 y x)
(+.f64 (/.f64 y x) (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (+.f64 (/.f64 y x) (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (+.f64 (/.f64 y x) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (.f64 -1 (/.f64 (pow.f64 y 4) (pow.f64 x 4))))))
1
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 1 (*.f64 -1 (/.f64 x y))))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 1 (+.f64 (.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (.f64 -1 (/.f64 x y)))))
1
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 1 (*.f64 -1 (/.f64 x y))))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 1 (+.f64 (.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (.f64 -1 (/.f64 x y)))))
1
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 1 (*.f64 -1 (/.f64 x y))))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 1 (+.f64 (.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (.f64 -1 (/.f64 x y)))))
(/.f64 y x)
(+.f64 (/.f64 y x) (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (+.f64 (/.f64 y x) (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (+.f64 (/.f64 y x) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (.f64 -1 (/.f64 (pow.f64 y 4) (pow.f64 x 4))))))
(/.f64 y x)
(+.f64 (/.f64 y x) (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (+.f64 (/.f64 y x) (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (+.f64 (/.f64 y x) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (.f64 -1 (/.f64 (pow.f64 y 4) (pow.f64 x 4))))))

Outputs
-1
(-.f64 (*.f64 2 (/.f64 x y)) 1)
(fma.f64 2 (/.f64 x y) -1)
(-.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (.f64 2 (/.f64 x y))) 1)
(+.f64 (/.f64 (.f64 -2 (.f64 x x)) (*.f64 y y)) (fma.f64 2 (/.f64 x y) -1))
(fma.f64 -2 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 2 (/.f64 x y) -1))
(fma.f64 -2 (.f64 x (/.f64 x (.f64 y y))) (fma.f64 2 (/.f64 x y) -1))
(-.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (.f64 2 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 2 (/.f64 x y)))) 1)
(+.f64 (fma.f64 -2 (/.f64 (.f64 x x) (.f64 y y)) (*.f64 2 (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))))) -1)
(fma.f64 -2 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 2 (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) -1))
(fma.f64 2 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 3)) (fma.f64 -2 (*.f64 (/.f64 x y) (/.f64 x y)) -1))
(fma.f64 2 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 3)) (fma.f64 -2 (.f64 x (/.f64 x (.f64 y y))) -1))
1
(+.f64 1 (*.f64 -2 (/.f64 y x)))
(fma.f64 -2 (/.f64 y x) 1)
(-.f64 (+.f64 1 (+.f64 (.f64 -2 (/.f64 y x)) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))) (.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 1 (-.f64 (fma.f64 -2 (/.f64 y x) (/.f64 (.f64 y y) (.f64 x x))) (neg.f64 (/.f64 (.f64 y y) (.f64 x x)))))
(+.f64 (fma.f64 -2 (/.f64 y x) (.f64 (/.f64 y x) (/.f64 y x))) (+.f64 1 (.f64 (/.f64 y x) (/.f64 y x))))
(fma.f64 -2 (/.f64 y x) (fma.f64 2 (/.f64 y (/.f64 (*.f64 x x) y)) 1))
(-.f64 (+.f64 1 (+.f64 (.f64 -2 (/.f64 y x)) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3)))))) (+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))
(+.f64 1 (-.f64 (+.f64 (fma.f64 -2 (/.f64 y x) (/.f64 (.f64 y y) (.f64 x x))) (neg.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)))) (+.f64 (neg.f64 (/.f64 (.f64 y y) (.f64 x x))) (/.f64 (pow.f64 y 3) (pow.f64 x 3)))))
(+.f64 1 (+.f64 (-.f64 (fma.f64 -2 (/.f64 y x) (.f64 (/.f64 y x) (/.f64 y x))) (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (-.f64 (.f64 (/.f64 y x) (/.f64 y x)) (/.f64 (pow.f64 y 3) (pow.f64 x 3)))))
(+.f64 1 (fma.f64 -2 (/.f64 y x) (.f64 (.f64 (/.f64 y (/.f64 (*.f64 x x) y)) (-.f64 (/.f64 y x) 1)) -2)))
(+.f64 (fma.f64 -2 (/.f64 y x) 1) (.f64 (.f64 (/.f64 y (/.f64 (*.f64 x x) y)) (+.f64 (/.f64 y x) -1)) -2))
1
(+.f64 1 (.f64 -1 (/.f64 (-.f64 y (.f64 -1 y)) x)))
(+.f64 1 (*.f64 -2 (/.f64 y x)))
(fma.f64 -2 (/.f64 y x) 1)
(+.f64 1 (+.f64 (.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (.f64 -1 (/.f64 (-.f64 y (*.f64 -1 y)) x))))
(+.f64 1 (-.f64 (fma.f64 -2 (/.f64 y x) (/.f64 (.f64 y y) (.f64 x x))) (neg.f64 (/.f64 (.f64 y y) (.f64 x x)))))
(+.f64 (fma.f64 -2 (/.f64 y x) (.f64 (/.f64 y x) (/.f64 y x))) (+.f64 1 (.f64 (/.f64 y x) (/.f64 y x))))
(fma.f64 -2 (/.f64 y x) (fma.f64 2 (/.f64 y (/.f64 (*.f64 x x) y)) 1))
(+.f64 (.f64 -2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 1 (+.f64 (.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (.f64 -1 (/.f64 (-.f64 y (.f64 -1 y)) x)))))
(fma.f64 -2 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (+.f64 1 (fma.f64 2 (/.f64 (.f64 y y) (.f64 x x)) (neg.f64 (/.f64 (-.f64 y (neg.f64 y)) x)))))
(+.f64 (-.f64 (/.f64 2 (*.f64 (/.f64 x y) (/.f64 x y))) (/.f64 (+.f64 y y) x)) (fma.f64 -2 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) 1))
(fma.f64 -2 (pow.f64 (/.f64 y x) 3) (fma.f64 -2 (/.f64 y x) (fma.f64 2 (/.f64 y (/.f64 (*.f64 x x) y)) 1)))
1
(+.f64 1 (*.f64 -2 (/.f64 y x)))
(fma.f64 -2 (/.f64 y x) 1)
(+.f64 1 (+.f64 (.f64 -2 (/.f64 y x)) (.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))
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(/.f64 y x)
(+.f64 (/.f64 y x) (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 (/.f64 y x) (neg.f64 (/.f64 (.f64 y y) (.f64 x x))))
(-.f64 (/.f64 y x) (*.f64 (/.f64 y x) (/.f64 y x)))
(-.f64 (/.f64 y x) (/.f64 y (/.f64 (*.f64 x x) y)))
(neg.f64 (*.f64 (/.f64 y x) (+.f64 (/.f64 y x) -1)))
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (+.f64 (/.f64 y x) (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))
(+.f64 (+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (/.f64 y x)) (neg.f64 (/.f64 (.f64 y y) (.f64 x x))))
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (-.f64 (/.f64 y x) (*.f64 (/.f64 y x) (/.f64 y x))))
(-.f64 (pow.f64 (/.f64 y x) 3) (*.f64 (/.f64 y x) (+.f64 -1 (/.f64 y x))))
(-.f64 (pow.f64 (/.f64 y x) 3) (*.f64 (/.f64 y x) (+.f64 (/.f64 y x) -1)))
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (+.f64 (/.f64 y x) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (.f64 -1 (/.f64 (pow.f64 y 4) (pow.f64 x 4))))))
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (+.f64 (/.f64 y x) (.f64 -1 (+.f64 (/.f64 (.f64 y y) (*.f64 x x)) (/.f64 (pow.f64 y 4) (pow.f64 x 4))))))
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (-.f64 (-.f64 (/.f64 y x) (*.f64 (/.f64 y x) (/.f64 y x))) (/.f64 (pow.f64 y 4) (pow.f64 x 4))))
(-.f64 (-.f64 (pow.f64 (/.f64 y x) 3) (*.f64 (/.f64 y x) (+.f64 -1 (/.f64 y x)))) (/.f64 (pow.f64 y 4) (pow.f64 x 4)))
(-.f64 (-.f64 (pow.f64 (/.f64 y x) 3) (*.f64 (/.f64 y x) (+.f64 (/.f64 y x) -1))) (pow.f64 (/.f64 y x) 4))
(/.f64 y x)
(+.f64 (/.f64 y x) (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 (/.f64 y x) (neg.f64 (/.f64 (.f64 y y) (.f64 x x))))
(-.f64 (/.f64 y x) (*.f64 (/.f64 y x) (/.f64 y x)))
(-.f64 (/.f64 y x) (/.f64 y (/.f64 (*.f64 x x) y)))
(neg.f64 (*.f64 (/.f64 y x) (+.f64 (/.f64 y x) -1)))
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (+.f64 (/.f64 y x) (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))
(+.f64 (+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (/.f64 y x)) (neg.f64 (/.f64 (.f64 y y) (.f64 x x))))
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (-.f64 (/.f64 y x) (*.f64 (/.f64 y x) (/.f64 y x))))
(-.f64 (pow.f64 (/.f64 y x) 3) (*.f64 (/.f64 y x) (+.f64 -1 (/.f64 y x))))
(-.f64 (pow.f64 (/.f64 y x) 3) (*.f64 (/.f64 y x) (+.f64 (/.f64 y x) -1)))
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (+.f64 (/.f64 y x) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (.f64 -1 (/.f64 (pow.f64 y 4) (pow.f64 x 4))))))
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (+.f64 (/.f64 y x) (.f64 -1 (+.f64 (/.f64 (.f64 y y) (*.f64 x x)) (/.f64 (pow.f64 y 4) (pow.f64 x 4))))))
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (-.f64 (-.f64 (/.f64 y x) (*.f64 (/.f64 y x) (/.f64 y x))) (/.f64 (pow.f64 y 4) (pow.f64 x 4))))
(-.f64 (-.f64 (pow.f64 (/.f64 y x) 3) (*.f64 (/.f64 y x) (+.f64 -1 (/.f64 y x)))) (/.f64 (pow.f64 y 4) (pow.f64 x 4)))
(-.f64 (-.f64 (pow.f64 (/.f64 y x) 3) (*.f64 (/.f64 y x) (+.f64 (/.f64 y x) -1))) (pow.f64 (/.f64 y x) 4))

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(*.f64 -2 (/.f64 y x))
	0.0b	(+.f64 1 (*.f64 -2 (/.f64 y x)))
✓	0.0b	(+.f64 1 (*.f64 -2 (/.f64 y x)))
✓	0.0b	(*.f64 -2 (/.f64 y x))

Compiler

Compiled 21 to 11 computations (47.6% saved)

series9.0ms (0.2%)

Counts

2 → 6

Calls

12 calls:

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

rewrite52.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

890×	`pow1_binary64`
829×	`add-log-exp_binary64`
829×	`log1p-expm1-u_binary64`
829×	`expm1-log1p-u_binary64`
814×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	170	15
2	2205	15

Stop Event

1×	node limit

Counts

2 → 52

Calls

Call 1

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

Outputs

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

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

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
2×	`associate-/l*_binary64`
1×	`associate-*r/_binary64`
1×	`associate-*l/_binary64`
1×	`associate-/r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	24
1	12	24
2	16	24
3	20	24
4	21	24

Stop Event

1×

saturated

Counts

58 → 55

Calls

Call 1

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

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

localize7.0ms (0.1%)

Compiler: Compiled 21 to 11 computations (47.6% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(*.f64 (-.f64 x y) (/.f64 1 (+.f64 x y)))
	0.0b	(/.f64 1 (+.f64 x y))
✓	0.0b	(/.f64 1 (+.f64 x y))
✓	0.2b	(*.f64 (-.f64 x y) (/.f64 1 (+.f64 x y)))

Compiler

Compiled 25 to 10 computations (60% saved)

series4.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(/.f64 1 (+.f64 x y))
0.0ms	x	@	inf	(/.f64 1 (+.f64 x y))
0.0ms	x	@	0	(*.f64 (-.f64 x y) (/.f64 1 (+.f64 x y)))
0.0ms	x	@	-inf	(/.f64 1 (+.f64 x y))
0.0ms	y	@	-inf	(/.f64 1 (+.f64 x y))

rewrite51.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

975×	`pow1_binary64`
908×	`add-log-exp_binary64`
908×	`log1p-expm1-u_binary64`
908×	`expm1-log1p-u_binary64`
90×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	176	17
2	2476	17

Stop Event

1×	node limit

Counts

2 → 62

Calls

Call 1

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

Outputs

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

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

simplify56.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

676×	`times-frac_binary64`
589×	`fma-def_binary64`
426×	`div-sub_binary64`
404×	`sub-neg_binary64`
402×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	100	1023
1	316	918
2	1101	792
3	5566	792

Stop Event

1×	node limit

Counts

110 → 99

Calls

Call 1

Inputs
-1
(-.f64 (*.f64 2 (/.f64 x y)) 1)
(-.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (.f64 2 (/.f64 x y))) 1)
(-.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (.f64 2 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 2 (/.f64 x y)))) 1)
1
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 y x))) (/.f64 y x))
(-.f64 (+.f64 1 (+.f64 (.f64 -1 (/.f64 (.f64 y (-.f64 (.f64 -1 y) y)) (pow.f64 x 2))) (.f64 -1 (/.f64 y x)))) (/.f64 y x))
(-.f64 (+.f64 (/.f64 (.f64 (pow.f64 y 2) (-.f64 (.f64 -1 y) y)) (pow.f64 x 3)) (+.f64 1 (+.f64 (.f64 -1 (/.f64 (.f64 y (-.f64 (.f64 -1 y) y)) (pow.f64 x 2))) (.f64 -1 (/.f64 y x))))) (/.f64 y x))
1
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 y x))) (/.f64 y x))
(-.f64 (+.f64 1 (+.f64 (.f64 -1 (/.f64 (.f64 y (-.f64 (.f64 -1 y) y)) (pow.f64 x 2))) (.f64 -1 (/.f64 y x)))) (/.f64 y x))
(-.f64 (+.f64 (/.f64 (.f64 (pow.f64 y 2) (-.f64 (.f64 -1 y) y)) (pow.f64 x 3)) (+.f64 1 (+.f64 (.f64 -1 (/.f64 (.f64 y (-.f64 (.f64 -1 y) y)) (pow.f64 x 2))) (.f64 -1 (/.f64 y x))))) (/.f64 y x))
1
(+.f64 1 (*.f64 -2 (/.f64 y x)))
(+.f64 1 (+.f64 (.f64 -2 (/.f64 y x)) (.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))
(+.f64 (.f64 -2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 1 (+.f64 (.f64 -2 (/.f64 y x)) (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))))
-1
(-.f64 (/.f64 x y) (+.f64 1 (*.f64 -1 (/.f64 x y))))
(-.f64 (+.f64 (/.f64 x y) (.f64 -1 (/.f64 (.f64 (-.f64 x (.f64 -1 x)) x) (pow.f64 y 2)))) (+.f64 1 (.f64 -1 (/.f64 x y))))
(-.f64 (+.f64 (/.f64 (.f64 (-.f64 x (.f64 -1 x)) (pow.f64 x 2)) (pow.f64 y 3)) (+.f64 (/.f64 x y) (.f64 -1 (/.f64 (.f64 (-.f64 x (.f64 -1 x)) x) (pow.f64 y 2))))) (+.f64 1 (.f64 -1 (/.f64 x y))))
-1
(-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 x) x) y)) 1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 x) x) y)) (/.f64 (.f64 (-.f64 (.f64 -1 x) x) x) (pow.f64 y 2))) 1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 x) x) y)) (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 -1 x) x) (pow.f64 x 2)) (pow.f64 y 3))) (/.f64 (.f64 (-.f64 (*.f64 -1 x) x) x) (pow.f64 y 2)))) 1)
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x (pow.f64 y 2))))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)) (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x (pow.f64 y 2)))))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)) (+.f64 (/.f64 1 y) (+.f64 (.f64 -1 (/.f64 x (pow.f64 y 2))) (.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 4))))))
(/.f64 1 x)
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y (pow.f64 x 2))))
(+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y (pow.f64 x 2)))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 4))) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (.f64 -1 (/.f64 y (pow.f64 x 2))))))
(/.f64 1 x)
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y (pow.f64 x 2))))
(+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y (pow.f64 x 2)))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 4))) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (.f64 -1 (/.f64 y (pow.f64 x 2))))))
(/.f64 1 x)
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y (pow.f64 x 2))))
(+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y (pow.f64 x 2)))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 4))) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (.f64 -1 (/.f64 y (pow.f64 x 2))))))
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x (pow.f64 y 2))))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)) (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x (pow.f64 y 2)))))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)) (+.f64 (/.f64 1 y) (+.f64 (.f64 -1 (/.f64 x (pow.f64 y 2))) (.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 4))))))
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x (pow.f64 y 2))))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)) (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x (pow.f64 y 2)))))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)) (+.f64 (/.f64 1 y) (+.f64 (.f64 -1 (/.f64 x (pow.f64 y 2))) (.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 4))))))

Outputs
-1
(-.f64 (*.f64 2 (/.f64 x y)) 1)
(fma.f64 2 (/.f64 x y) -1)
(-.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (.f64 2 (/.f64 x y))) 1)
(+.f64 (.f64 -2 (/.f64 (.f64 x x) (*.f64 y y))) (fma.f64 2 (/.f64 x y) -1))
(fma.f64 -2 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 2 (/.f64 x y) -1))
(+.f64 -1 (.f64 (/.f64 x y) (+.f64 2 (.f64 (/.f64 x y) -2))))
(+.f64 -1 (.f64 (.f64 (/.f64 x y) -2) (+.f64 -1 (/.f64 x y))))
(-.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (.f64 2 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 2 (/.f64 x y)))) 1)
(+.f64 (fma.f64 -2 (/.f64 (.f64 x x) (.f64 y y)) (*.f64 2 (+.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 x y)))) -1)
(fma.f64 -2 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 2 (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) -1))
(+.f64 (.f64 (/.f64 x y) (+.f64 2 (.f64 (/.f64 x y) -2))) (fma.f64 2 (pow.f64 (/.f64 x y) 3) -1))
(fma.f64 2 (pow.f64 (/.f64 x y) 3) (+.f64 -1 (.f64 (.f64 (/.f64 x y) -2) (+.f64 -1 (/.f64 x y)))))
1
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 y x))) (/.f64 y x))
(+.f64 1 (-.f64 (neg.f64 (/.f64 y x)) (/.f64 y x)))
(-.f64 (-.f64 1 (/.f64 y x)) (/.f64 y x))
(fma.f64 -2 (/.f64 y x) 1)
(-.f64 (+.f64 1 (+.f64 (.f64 -1 (/.f64 (.f64 y (-.f64 (.f64 -1 y) y)) (pow.f64 x 2))) (.f64 -1 (/.f64 y x)))) (/.f64 y x))
(+.f64 1 (-.f64 (fma.f64 -1 (/.f64 y (/.f64 (*.f64 x x) (-.f64 (neg.f64 y) y))) (neg.f64 (/.f64 y x))) (/.f64 y x)))
(-.f64 (-.f64 (-.f64 1 (.f64 (/.f64 y x) (.f64 -2 (/.f64 y x)))) (/.f64 y x)) (/.f64 y x))
(fma.f64 -2 (/.f64 y x) (fma.f64 (/.f64 2 x) (/.f64 (*.f64 y y) x) 1))
(fma.f64 -2 (/.f64 y x) (fma.f64 (/.f64 2 x) (/.f64 y (/.f64 x y)) 1))
(-.f64 (+.f64 (/.f64 (.f64 (pow.f64 y 2) (-.f64 (.f64 -1 y) y)) (pow.f64 x 3)) (+.f64 1 (+.f64 (.f64 -1 (/.f64 (.f64 y (-.f64 (.f64 -1 y) y)) (pow.f64 x 2))) (.f64 -1 (/.f64 y x))))) (/.f64 y x))
(+.f64 (/.f64 (.f64 y y) (/.f64 (pow.f64 x 3) (-.f64 (neg.f64 y) y))) (+.f64 1 (-.f64 (fma.f64 -1 (/.f64 y (/.f64 (.f64 x x) (-.f64 (neg.f64 y) y))) (neg.f64 (/.f64 y x))) (/.f64 y x))))
(+.f64 (-.f64 (-.f64 1 (.f64 (/.f64 y x) (.f64 -2 (/.f64 y x)))) (/.f64 y x)) (-.f64 (*.f64 -2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (/.f64 y x)))
(fma.f64 -2 (pow.f64 (/.f64 y x) 3) (fma.f64 -2 (/.f64 y x) (fma.f64 (/.f64 2 x) (/.f64 (*.f64 y y) x) 1)))
(fma.f64 -2 (pow.f64 (/.f64 y x) 3) (fma.f64 -2 (/.f64 y x) (fma.f64 (/.f64 2 x) (/.f64 y (/.f64 x y)) 1)))
1
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 y x))) (/.f64 y x))
(+.f64 1 (-.f64 (neg.f64 (/.f64 y x)) (/.f64 y x)))
(-.f64 (-.f64 1 (/.f64 y x)) (/.f64 y x))
(fma.f64 -2 (/.f64 y x) 1)
(-.f64 (+.f64 1 (+.f64 (.f64 -1 (/.f64 (.f64 y (-.f64 (.f64 -1 y) y)) (pow.f64 x 2))) (.f64 -1 (/.f64 y x)))) (/.f64 y x))
(+.f64 1 (-.f64 (fma.f64 -1 (/.f64 y (/.f64 (*.f64 x x) (-.f64 (neg.f64 y) y))) (neg.f64 (/.f64 y x))) (/.f64 y x)))
(-.f64 (-.f64 (-.f64 1 (.f64 (/.f64 y x) (.f64 -2 (/.f64 y x)))) (/.f64 y x)) (/.f64 y x))
(fma.f64 -2 (/.f64 y x) (fma.f64 (/.f64 2 x) (/.f64 (*.f64 y y) x) 1))
(fma.f64 -2 (/.f64 y x) (fma.f64 (/.f64 2 x) (/.f64 y (/.f64 x y)) 1))
(-.f64 (+.f64 (/.f64 (.f64 (pow.f64 y 2) (-.f64 (.f64 -1 y) y)) (pow.f64 x 3)) (+.f64 1 (+.f64 (.f64 -1 (/.f64 (.f64 y (-.f64 (.f64 -1 y) y)) (pow.f64 x 2))) (.f64 -1 (/.f64 y x))))) (/.f64 y x))
(+.f64 (/.f64 (.f64 y y) (/.f64 (pow.f64 x 3) (-.f64 (neg.f64 y) y))) (+.f64 1 (-.f64 (fma.f64 -1 (/.f64 y (/.f64 (.f64 x x) (-.f64 (neg.f64 y) y))) (neg.f64 (/.f64 y x))) (/.f64 y x))))
(+.f64 (-.f64 (-.f64 1 (.f64 (/.f64 y x) (.f64 -2 (/.f64 y x)))) (/.f64 y x)) (-.f64 (*.f64 -2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (/.f64 y x)))
(fma.f64 -2 (pow.f64 (/.f64 y x) 3) (fma.f64 -2 (/.f64 y x) (fma.f64 (/.f64 2 x) (/.f64 (*.f64 y y) x) 1)))
(fma.f64 -2 (pow.f64 (/.f64 y x) 3) (fma.f64 -2 (/.f64 y x) (fma.f64 (/.f64 2 x) (/.f64 y (/.f64 x y)) 1)))
1
(+.f64 1 (*.f64 -2 (/.f64 y x)))
(+.f64 1 (-.f64 (neg.f64 (/.f64 y x)) (/.f64 y x)))
(-.f64 (-.f64 1 (/.f64 y x)) (/.f64 y x))
(fma.f64 -2 (/.f64 y x) 1)
(+.f64 1 (+.f64 (.f64 -2 (/.f64 y x)) (.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))
(+.f64 1 (-.f64 (fma.f64 -1 (/.f64 y (/.f64 (*.f64 x x) (-.f64 (neg.f64 y) y))) (neg.f64 (/.f64 y x))) (/.f64 y x)))
(-.f64 (-.f64 (-.f64 1 (.f64 (/.f64 y x) (.f64 -2 (/.f64 y x)))) (/.f64 y x)) (/.f64 y x))
(fma.f64 -2 (/.f64 y x) (fma.f64 (/.f64 2 x) (/.f64 (*.f64 y y) x) 1))
(fma.f64 -2 (/.f64 y x) (fma.f64 (/.f64 2 x) (/.f64 y (/.f64 x y)) 1))
(+.f64 (.f64 -2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 1 (+.f64 (.f64 -2 (/.f64 y x)) (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))))
(+.f64 (/.f64 (.f64 y y) (/.f64 (pow.f64 x 3) (-.f64 (neg.f64 y) y))) (+.f64 1 (-.f64 (fma.f64 -1 (/.f64 y (/.f64 (.f64 x x) (-.f64 (neg.f64 y) y))) (neg.f64 (/.f64 y x))) (/.f64 y x))))
(+.f64 (-.f64 (-.f64 1 (.f64 (/.f64 y x) (.f64 -2 (/.f64 y x)))) (/.f64 y x)) (-.f64 (*.f64 -2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (/.f64 y x)))
(fma.f64 -2 (pow.f64 (/.f64 y x) 3) (fma.f64 -2 (/.f64 y x) (fma.f64 (/.f64 2 x) (/.f64 (*.f64 y y) x) 1)))
(fma.f64 -2 (pow.f64 (/.f64 y x) 3) (fma.f64 -2 (/.f64 y x) (fma.f64 (/.f64 2 x) (/.f64 y (/.f64 x y)) 1)))
-1
(-.f64 (/.f64 x y) (+.f64 1 (*.f64 -1 (/.f64 x y))))
(fma.f64 2 (/.f64 x y) -1)
(-.f64 (+.f64 (/.f64 x y) (.f64 -1 (/.f64 (.f64 (-.f64 x (.f64 -1 x)) x) (pow.f64 y 2)))) (+.f64 1 (.f64 -1 (/.f64 x y))))
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(fma.f64 -2 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 2 (/.f64 x y) -1))
(+.f64 -1 (.f64 (/.f64 x y) (+.f64 2 (.f64 (/.f64 x y) -2))))
(+.f64 -1 (.f64 (.f64 (/.f64 x y) -2) (+.f64 -1 (/.f64 x y))))
(-.f64 (+.f64 (/.f64 (.f64 (-.f64 x (.f64 -1 x)) (pow.f64 x 2)) (pow.f64 y 3)) (+.f64 (/.f64 x y) (.f64 -1 (/.f64 (.f64 (-.f64 x (.f64 -1 x)) x) (pow.f64 y 2))))) (+.f64 1 (.f64 -1 (/.f64 x y))))
(+.f64 (fma.f64 -2 (/.f64 (.f64 x x) (.f64 y y)) (*.f64 2 (+.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 x y)))) -1)
(fma.f64 -2 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 2 (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) -1))
(+.f64 (.f64 (/.f64 x y) (+.f64 2 (.f64 (/.f64 x y) -2))) (fma.f64 2 (pow.f64 (/.f64 x y) 3) -1))
(fma.f64 2 (pow.f64 (/.f64 x y) 3) (+.f64 -1 (.f64 (.f64 (/.f64 x y) -2) (+.f64 -1 (/.f64 x y)))))
-1
(-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 x) x) y)) 1)
(fma.f64 2 (/.f64 x y) -1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 x) x) y)) (/.f64 (.f64 (-.f64 (.f64 -1 x) x) x) (pow.f64 y 2))) 1)
(+.f64 (.f64 -2 (/.f64 (.f64 x x) (*.f64 y y))) (fma.f64 2 (/.f64 x y) -1))
(fma.f64 -2 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 2 (/.f64 x y) -1))
(+.f64 -1 (.f64 (/.f64 x y) (+.f64 2 (.f64 (/.f64 x y) -2))))
(+.f64 -1 (.f64 (.f64 (/.f64 x y) -2) (+.f64 -1 (/.f64 x y))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 x) x) y)) (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 -1 x) x) (pow.f64 x 2)) (pow.f64 y 3))) (/.f64 (.f64 (-.f64 (*.f64 -1 x) x) x) (pow.f64 y 2)))) 1)
(+.f64 (fma.f64 -2 (/.f64 (.f64 x x) (.f64 y y)) (*.f64 2 (+.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 x y)))) -1)
(fma.f64 -2 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 2 (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) -1))
(+.f64 (.f64 (/.f64 x y) (+.f64 2 (.f64 (/.f64 x y) -2))) (fma.f64 2 (pow.f64 (/.f64 x y) 3) -1))
(fma.f64 2 (pow.f64 (/.f64 x y) 3) (+.f64 -1 (.f64 (.f64 (/.f64 x y) -2) (+.f64 -1 (/.f64 x y)))))
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x (pow.f64 y 2))))
(+.f64 (/.f64 1 y) (/.f64 (neg.f64 x) (*.f64 y y)))
(-.f64 (/.f64 1 y) (/.f64 x (*.f64 y y)))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)) (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x (pow.f64 y 2)))))
(+.f64 (+.f64 (/.f64 1 y) (/.f64 (neg.f64 x) (.f64 y y))) (/.f64 (.f64 x x) (pow.f64 y 3)))
(-.f64 (+.f64 (/.f64 1 y) (/.f64 (.f64 x x) (pow.f64 y 3))) (/.f64 x (.f64 y y)))
(+.f64 (/.f64 1 y) (.f64 (/.f64 x (.f64 y y)) (+.f64 -1 (/.f64 x y))))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)) (+.f64 (/.f64 1 y) (+.f64 (.f64 -1 (/.f64 x (pow.f64 y 2))) (.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 4))))))
(+.f64 (/.f64 (.f64 x x) (pow.f64 y 3)) (+.f64 (/.f64 1 y) (fma.f64 -1 (/.f64 x (.f64 y y)) (neg.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 4))))))
(+.f64 (/.f64 (.f64 x x) (pow.f64 y 3)) (-.f64 (-.f64 (/.f64 1 y) (/.f64 x (.f64 y y))) (/.f64 (pow.f64 x 3) (pow.f64 y 4))))
(-.f64 (+.f64 (/.f64 1 y) (.f64 (/.f64 x (.f64 y y)) (+.f64 -1 (/.f64 x y)))) (/.f64 (pow.f64 x 3) (pow.f64 y 4)))
(+.f64 (.f64 (/.f64 x (.f64 y y)) (+.f64 -1 (/.f64 x y))) (-.f64 (/.f64 1 y) (/.f64 (pow.f64 x 3) (pow.f64 y 4))))
(/.f64 1 x)
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y (pow.f64 x 2))))
(+.f64 (/.f64 1 x) (/.f64 (neg.f64 y) (*.f64 x x)))
(-.f64 (/.f64 1 x) (/.f64 y (*.f64 x x)))
(+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y (pow.f64 x 2)))))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 (neg.f64 y) (.f64 x x))) (/.f64 (.f64 y y) (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 y (/.f64 (pow.f64 x 3) y))) (/.f64 y (*.f64 x x)))
(+.f64 (/.f64 1 x) (.f64 (/.f64 y (.f64 x x)) (+.f64 -1 (/.f64 y x))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 4))) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (.f64 -1 (/.f64 y (pow.f64 x 2))))))
(fma.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 1 x) (/.f64 (neg.f64 y) (.f64 x x))) (/.f64 (.f64 y y) (pow.f64 x 3))))
(-.f64 (-.f64 (+.f64 (/.f64 1 x) (/.f64 y (/.f64 (pow.f64 x 3) y))) (/.f64 y (*.f64 x x))) (/.f64 (pow.f64 y 3) (pow.f64 x 4)))
(+.f64 (.f64 (/.f64 y (.f64 x x)) (+.f64 -1 (/.f64 y x))) (-.f64 (/.f64 1 x) (/.f64 (pow.f64 y 3) (pow.f64 x 4))))
(-.f64 (+.f64 (/.f64 1 x) (.f64 (/.f64 y (.f64 x x)) (+.f64 -1 (/.f64 y x)))) (/.f64 (pow.f64 y 3) (pow.f64 x 4)))
(/.f64 1 x)
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y (pow.f64 x 2))))
(+.f64 (/.f64 1 x) (/.f64 (neg.f64 y) (*.f64 x x)))
(-.f64 (/.f64 1 x) (/.f64 y (*.f64 x x)))
(+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y (pow.f64 x 2)))))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 (neg.f64 y) (.f64 x x))) (/.f64 (.f64 y y) (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 y (/.f64 (pow.f64 x 3) y))) (/.f64 y (*.f64 x x)))
(+.f64 (/.f64 1 x) (.f64 (/.f64 y (.f64 x x)) (+.f64 -1 (/.f64 y x))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 4))) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (.f64 -1 (/.f64 y (pow.f64 x 2))))))
(fma.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 1 x) (/.f64 (neg.f64 y) (.f64 x x))) (/.f64 (.f64 y y) (pow.f64 x 3))))
(-.f64 (-.f64 (+.f64 (/.f64 1 x) (/.f64 y (/.f64 (pow.f64 x 3) y))) (/.f64 y (*.f64 x x))) (/.f64 (pow.f64 y 3) (pow.f64 x 4)))
(+.f64 (.f64 (/.f64 y (.f64 x x)) (+.f64 -1 (/.f64 y x))) (-.f64 (/.f64 1 x) (/.f64 (pow.f64 y 3) (pow.f64 x 4))))
(-.f64 (+.f64 (/.f64 1 x) (.f64 (/.f64 y (.f64 x x)) (+.f64 -1 (/.f64 y x)))) (/.f64 (pow.f64 y 3) (pow.f64 x 4)))
(/.f64 1 x)
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y (pow.f64 x 2))))
(+.f64 (/.f64 1 x) (/.f64 (neg.f64 y) (*.f64 x x)))
(-.f64 (/.f64 1 x) (/.f64 y (*.f64 x x)))
(+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y (pow.f64 x 2)))))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 (neg.f64 y) (.f64 x x))) (/.f64 (.f64 y y) (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 y (/.f64 (pow.f64 x 3) y))) (/.f64 y (*.f64 x x)))
(+.f64 (/.f64 1 x) (.f64 (/.f64 y (.f64 x x)) (+.f64 -1 (/.f64 y x))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 4))) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (.f64 -1 (/.f64 y (pow.f64 x 2))))))
(fma.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 1 x) (/.f64 (neg.f64 y) (.f64 x x))) (/.f64 (.f64 y y) (pow.f64 x 3))))
(-.f64 (-.f64 (+.f64 (/.f64 1 x) (/.f64 y (/.f64 (pow.f64 x 3) y))) (/.f64 y (*.f64 x x))) (/.f64 (pow.f64 y 3) (pow.f64 x 4)))
(+.f64 (.f64 (/.f64 y (.f64 x x)) (+.f64 -1 (/.f64 y x))) (-.f64 (/.f64 1 x) (/.f64 (pow.f64 y 3) (pow.f64 x 4))))
(-.f64 (+.f64 (/.f64 1 x) (.f64 (/.f64 y (.f64 x x)) (+.f64 -1 (/.f64 y x)))) (/.f64 (pow.f64 y 3) (pow.f64 x 4)))
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x (pow.f64 y 2))))
(+.f64 (/.f64 1 y) (/.f64 (neg.f64 x) (*.f64 y y)))
(-.f64 (/.f64 1 y) (/.f64 x (*.f64 y y)))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)) (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x (pow.f64 y 2)))))
(+.f64 (+.f64 (/.f64 1 y) (/.f64 (neg.f64 x) (.f64 y y))) (/.f64 (.f64 x x) (pow.f64 y 3)))
(-.f64 (+.f64 (/.f64 1 y) (/.f64 (.f64 x x) (pow.f64 y 3))) (/.f64 x (.f64 y y)))
(+.f64 (/.f64 1 y) (.f64 (/.f64 x (.f64 y y)) (+.f64 -1 (/.f64 x y))))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)) (+.f64 (/.f64 1 y) (+.f64 (.f64 -1 (/.f64 x (pow.f64 y 2))) (.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 4))))))
(+.f64 (/.f64 (.f64 x x) (pow.f64 y 3)) (+.f64 (/.f64 1 y) (fma.f64 -1 (/.f64 x (.f64 y y)) (neg.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 4))))))
(+.f64 (/.f64 (.f64 x x) (pow.f64 y 3)) (-.f64 (-.f64 (/.f64 1 y) (/.f64 x (.f64 y y))) (/.f64 (pow.f64 x 3) (pow.f64 y 4))))
(-.f64 (+.f64 (/.f64 1 y) (.f64 (/.f64 x (.f64 y y)) (+.f64 -1 (/.f64 x y)))) (/.f64 (pow.f64 x 3) (pow.f64 y 4)))
(+.f64 (.f64 (/.f64 x (.f64 y y)) (+.f64 -1 (/.f64 x y))) (-.f64 (/.f64 1 y) (/.f64 (pow.f64 x 3) (pow.f64 y 4))))
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x (pow.f64 y 2))))
(+.f64 (/.f64 1 y) (/.f64 (neg.f64 x) (*.f64 y y)))
(-.f64 (/.f64 1 y) (/.f64 x (*.f64 y y)))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)) (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x (pow.f64 y 2)))))
(+.f64 (+.f64 (/.f64 1 y) (/.f64 (neg.f64 x) (.f64 y y))) (/.f64 (.f64 x x) (pow.f64 y 3)))
(-.f64 (+.f64 (/.f64 1 y) (/.f64 (.f64 x x) (pow.f64 y 3))) (/.f64 x (.f64 y y)))
(+.f64 (/.f64 1 y) (.f64 (/.f64 x (.f64 y y)) (+.f64 -1 (/.f64 x y))))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)) (+.f64 (/.f64 1 y) (+.f64 (.f64 -1 (/.f64 x (pow.f64 y 2))) (.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 4))))))
(+.f64 (/.f64 (.f64 x x) (pow.f64 y 3)) (+.f64 (/.f64 1 y) (fma.f64 -1 (/.f64 x (.f64 y y)) (neg.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 4))))))
(+.f64 (/.f64 (.f64 x x) (pow.f64 y 3)) (-.f64 (-.f64 (/.f64 1 y) (/.f64 x (.f64 y y))) (/.f64 (pow.f64 x 3) (pow.f64 y 4))))
(-.f64 (+.f64 (/.f64 1 y) (.f64 (/.f64 x (.f64 y y)) (+.f64 -1 (/.f64 x y)))) (/.f64 (pow.f64 x 3) (pow.f64 y 4)))
(+.f64 (.f64 (/.f64 x (.f64 y y)) (+.f64 -1 (/.f64 x y))) (-.f64 (/.f64 1 y) (/.f64 (pow.f64 x 3) (pow.f64 y 4))))

localize12.0ms (0.2%)

Local error

Found 6 expressions with local error:

New	Error	Program
	0.0b	(cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 3))
	0.0b	(pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 3)
	0.0b	(/.f64 (-.f64 x y) (+.f64 x y))
	0.0b	(/.f64 (-.f64 x y) (+.f64 x y))
✓	0.0b	(pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 3)
✓	0.0b	(cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 3))

Compiler

Compiled 37 to 11 computations (70.3% saved)

series14.0ms (0.3%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
6.0ms	y	@	inf	(pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 3)
1.0ms	x	@	inf	(pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 3)
1.0ms	y	@	-inf	(pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 3)
1.0ms	x	@	-inf	(pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 3)
1.0ms	x	@	-inf	(cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 3))

rewrite118.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

768×	`prod-diff_binary64`
485×	`log-prod_binary64`
316×	`pow-prod-down_binary64`
255×	`fma-def_binary64`
251×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	213	23
2	2873	23

Stop Event

1×	node limit

Counts

2 → 285

Calls

Call 1

Inputs
(cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 3))
(pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 3)

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 3))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 3)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x y) (*.f64 (/.f64 1 (+.f64 x y)) (pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 x y) (+.f64 x y)) (pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 2) (/.f64 (-.f64 x y) (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) (+.f64 x y))) 2) (*.f64 (cbrt.f64 (/.f64 (-.f64 x y) (+.f64 x y))) (pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 x y) (+.f64 x y))) (*.f64 (sqrt.f64 (/.f64 (-.f64 x y) (+.f64 x y))) (pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 x y) 3) (pow.f64 (+.f64 x y) -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 3/2) (pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 2) (-.f64 x y)) (/.f64 1 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 2) 1) (/.f64 (-.f64 x y) (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x y) (+.f64 x y)) (cbrt.f64 (/.f64 (-.f64 x y) (+.f64 x y)))) 2) (cbrt.f64 (/.f64 (-.f64 x y) (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 2) (sqrt.f64 (/.f64 (-.f64 x y) (+.f64 x y)))) (sqrt.f64 (/.f64 (-.f64 x y) (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (-.f64 x y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 2) (/.f64 (+.f64 x y) (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (-.f64 x y) 3) (pow.f64 (+.f64 x y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (neg.f64 (-.f64 x y)) 3) (pow.f64 (neg.f64 (+.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (-.f64 x y) 3)) (neg.f64 (pow.f64 (+.f64 x y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 x y) (pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 2)) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (-.f64 x y)) (pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 2)) (neg.f64 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 2) (-.f64 x y)) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 2) 1) (/.f64 (+.f64 x y) (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 2) (neg.f64 (-.f64 x y))) (neg.f64 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 9))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3 (log.f64 (/.f64 (-.f64 x y) (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (-.f64 x y) (+.f64 x y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 3)))))))

simplify154.0ms (3%)

Algorithm

1×	egg-herbie

Rules

895×	`associate-/r*_binary64`
301×	`fma-def_binary64`
282×	`unsub-neg_binary64`
282×	`fma-neg_binary64`
280×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	256	1990
1	918	1550
2	3721	1265

Stop Event

1×	node limit

Counts

333 → 352

Calls

Call 1

Inputs
-1
(-.f64 (*.f64 2 (/.f64 x y)) 1)
(-.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (.f64 2 (/.f64 x y))) 1)
(-.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (.f64 2 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 2 (/.f64 x y)))) 1)
1
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 y x))) (/.f64 y x))
(-.f64 (+.f64 1 (+.f64 (.f64 -1 (/.f64 (.f64 y (-.f64 (.f64 -1 y) y)) (pow.f64 x 2))) (.f64 -1 (/.f64 y x)))) (/.f64 y x))
(-.f64 (+.f64 (/.f64 (.f64 (pow.f64 y 2) (-.f64 (.f64 -1 y) y)) (pow.f64 x 3)) (+.f64 1 (+.f64 (.f64 -1 (/.f64 (.f64 y (-.f64 (.f64 -1 y) y)) (pow.f64 x 2))) (.f64 -1 (/.f64 y x))))) (/.f64 y x))
(*.f64 -1 (cbrt.f64 -1))
(+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (.f64 y (cbrt.f64 -1))) (.f64 y (cbrt.f64 -1))) x)) (*.f64 -1 (cbrt.f64 -1)))
(+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (.f64 y (cbrt.f64 -1))) (.f64 y (cbrt.f64 -1))) x)) (+.f64 (.f64 -1 (cbrt.f64 -1)) (/.f64 (.f64 y (-.f64 (.f64 -1 (.f64 y (cbrt.f64 -1))) (*.f64 y (cbrt.f64 -1)))) (pow.f64 x 2))))
(+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (.f64 y (cbrt.f64 -1))) (.f64 y (cbrt.f64 -1))) x)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 y 2) (-.f64 (.f64 -1 (.f64 y (cbrt.f64 -1))) (.f64 y (cbrt.f64 -1)))) (pow.f64 x 3))) (+.f64 (.f64 -1 (cbrt.f64 -1)) (/.f64 (.f64 y (-.f64 (.f64 -1 (.f64 y (cbrt.f64 -1))) (.f64 y (cbrt.f64 -1)))) (pow.f64 x 2)))))
1
(+.f64 1 (*.f64 -2 (/.f64 y x)))
(+.f64 1 (+.f64 (.f64 -2 (/.f64 y x)) (.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))
(+.f64 (.f64 -2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 1 (+.f64 (.f64 -2 (/.f64 y x)) (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))))
-1
(-.f64 (/.f64 x y) (+.f64 1 (*.f64 -1 (/.f64 x y))))
(-.f64 (+.f64 (/.f64 x y) (.f64 -1 (/.f64 (.f64 (-.f64 x (.f64 -1 x)) x) (pow.f64 y 2)))) (+.f64 1 (.f64 -1 (/.f64 x y))))
(-.f64 (+.f64 (/.f64 (.f64 (-.f64 x (.f64 -1 x)) (pow.f64 x 2)) (pow.f64 y 3)) (+.f64 (/.f64 x y) (.f64 -1 (/.f64 (.f64 (-.f64 x (.f64 -1 x)) x) (pow.f64 y 2))))) (+.f64 1 (.f64 -1 (/.f64 x y))))
-1
(-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 x) x) y)) 1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 x) x) y)) (/.f64 (.f64 (-.f64 (.f64 -1 x) x) x) (pow.f64 y 2))) 1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 x) x) y)) (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 -1 x) x) (pow.f64 x 2)) (pow.f64 y 3))) (/.f64 (.f64 (-.f64 (*.f64 -1 x) x) x) (pow.f64 y 2)))) 1)
-1
(-.f64 (*.f64 6 (/.f64 x y)) 1)
(-.f64 (+.f64 (.f64 -18 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (.f64 6 (/.f64 x y))) 1)
(-.f64 (+.f64 (.f64 -18 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (.f64 6 (/.f64 x y)) (*.f64 38 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))) 1)
1
(-.f64 (+.f64 1 (+.f64 (.f64 -2 (/.f64 y x)) (.f64 -1 (/.f64 y x)))) (+.f64 (/.f64 y x) (*.f64 2 (/.f64 y x))))
(-.f64 (+.f64 1 (+.f64 (.f64 -2 (/.f64 (.f64 y (-.f64 (.f64 -1 y) y)) (pow.f64 x 2))) (+.f64 (/.f64 (pow.f64 (-.f64 (.f64 -1 y) y) 2) (pow.f64 x 2)) (+.f64 (/.f64 (.f64 (-.f64 (.f64 -2 y) (.f64 2 y)) (-.f64 (.f64 -1 y) y)) (pow.f64 x 2)) (+.f64 (.f64 -1 (/.f64 (.f64 y (-.f64 (.f64 -1 y) y)) (pow.f64 x 2))) (+.f64 (.f64 -2 (/.f64 y x)) (.f64 -1 (/.f64 y x)))))))) (+.f64 (/.f64 y x) (.f64 2 (/.f64 y x))))
(-.f64 (+.f64 1 (+.f64 (.f64 -2 (/.f64 (.f64 y (-.f64 (.f64 -1 y) y)) (pow.f64 x 2))) (+.f64 (/.f64 (pow.f64 (-.f64 (.f64 -1 y) y) 2) (pow.f64 x 2)) (+.f64 (.f64 -1 (/.f64 (.f64 y (-.f64 (.f64 -1 y) y)) (pow.f64 x 2))) (+.f64 (/.f64 (.f64 (-.f64 (.f64 -2 y) (.f64 2 y)) (-.f64 (.f64 -1 y) y)) (pow.f64 x 2)) (+.f64 (.f64 -2 (/.f64 (.f64 y (pow.f64 (-.f64 (.f64 -1 y) y) 2)) (pow.f64 x 3))) (+.f64 (/.f64 (.f64 (pow.f64 y 2) (-.f64 (.f64 -1 y) y)) (pow.f64 x 3)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 y 2) (-.f64 (.f64 -1 y) y)) (pow.f64 x 3))) (+.f64 (.f64 -2 (/.f64 y x)) (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 -2 y) (.f64 2 y)) (.f64 y (-.f64 (.f64 -1 y) y))) (pow.f64 x 3))) (+.f64 (/.f64 (.f64 (+.f64 (pow.f64 (-.f64 (.f64 -1 y) y) 2) (.f64 -2 (.f64 y (-.f64 (.f64 -1 y) y)))) (-.f64 (.f64 -1 y) y)) (pow.f64 x 3)) (.f64 -1 (/.f64 y x))))))))))))) (+.f64 (/.f64 y x) (.f64 2 (/.f64 y x))))
1
(+.f64 1 (.f64 -1 (/.f64 (+.f64 (.f64 -2 (-.f64 (.f64 -1 y) y)) (.f64 -1 (-.f64 (*.f64 -1 y) y))) x)))
(+.f64 1 (+.f64 (.f64 -2 (/.f64 (.f64 y (-.f64 (.f64 -1 y) y)) (pow.f64 x 2))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -2 (-.f64 (.f64 -1 y) y)) (.f64 -1 (-.f64 (.f64 -1 y) y))) x)) (+.f64 (.f64 2 (/.f64 (pow.f64 (-.f64 (.f64 -1 y) y) 2) (pow.f64 x 2))) (+.f64 (/.f64 (pow.f64 (-.f64 (.f64 -1 y) y) 2) (pow.f64 x 2)) (.f64 -1 (/.f64 (.f64 y (-.f64 (.f64 -1 y) y)) (pow.f64 x 2))))))))
(+.f64 1 (+.f64 (.f64 -2 (/.f64 (.f64 y (-.f64 (.f64 -1 y) y)) (pow.f64 x 2))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -2 (-.f64 (.f64 -1 y) y)) (.f64 -1 (-.f64 (.f64 -1 y) y))) x)) (+.f64 (/.f64 (pow.f64 (-.f64 (.f64 -1 y) y) 2) (pow.f64 x 2)) (+.f64 (.f64 2 (/.f64 (pow.f64 (-.f64 (.f64 -1 y) y) 2) (pow.f64 x 2))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -2 (.f64 (pow.f64 y 2) (-.f64 (.f64 -1 y) y))) (+.f64 (.f64 -1 (.f64 (+.f64 (pow.f64 (-.f64 (.f64 -1 y) y) 2) (.f64 -2 (.f64 y (-.f64 (.f64 -1 y) y)))) (-.f64 (.f64 -1 y) y))) (+.f64 (.f64 4 (.f64 y (pow.f64 (-.f64 (.f64 -1 y) y) 2))) (.f64 -1 (.f64 (pow.f64 y 2) (-.f64 (.f64 -1 y) y)))))) (pow.f64 x 3))) (.f64 -1 (/.f64 (.f64 y (-.f64 (*.f64 -1 y) y)) (pow.f64 x 2)))))))))
1
(+.f64 (*.f64 -6 (/.f64 y x)) 1)
(+.f64 (.f64 -6 (/.f64 y x)) (+.f64 (.f64 18 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) 1))
(+.f64 (.f64 -6 (/.f64 y x)) (+.f64 (.f64 18 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (*.f64 -38 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) 1)))
-1
(-.f64 (+.f64 (/.f64 x y) (.f64 2 (/.f64 (-.f64 x (.f64 -1 x)) y))) (+.f64 1 (*.f64 -1 (/.f64 x y))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (pow.f64 (-.f64 x (.f64 -1 x)) 2) (.f64 2 (.f64 (-.f64 x (.f64 -1 x)) x))) (pow.f64 y 2))) (+.f64 (.f64 -2 (/.f64 (pow.f64 (-.f64 x (.f64 -1 x)) 2) (pow.f64 y 2))) (+.f64 (.f64 2 (/.f64 (-.f64 x (.f64 -1 x)) y)) (+.f64 (/.f64 x y) (.f64 -1 (/.f64 (.f64 (-.f64 x (.f64 -1 x)) x) (pow.f64 y 2))))))) (+.f64 1 (*.f64 -1 (/.f64 x y))))
(-.f64 (+.f64 (/.f64 (.f64 (-.f64 x (.f64 -1 x)) (pow.f64 x 2)) (pow.f64 y 3)) (+.f64 (.f64 -2 (/.f64 (pow.f64 (-.f64 x (.f64 -1 x)) 2) (pow.f64 y 2))) (+.f64 (.f64 2 (/.f64 (-.f64 x (.f64 -1 x)) y)) (+.f64 (/.f64 (.f64 (+.f64 (pow.f64 (-.f64 x (.f64 -1 x)) 2) (.f64 2 (.f64 (-.f64 x (.f64 -1 x)) x))) (-.f64 x (.f64 -1 x))) (pow.f64 y 3)) (+.f64 (.f64 -1 (/.f64 (+.f64 (pow.f64 (-.f64 x (.f64 -1 x)) 2) (.f64 2 (.f64 (-.f64 x (.f64 -1 x)) x))) (pow.f64 y 2))) (+.f64 (/.f64 x y) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 (-.f64 x (.f64 -1 x)) 2) x) (pow.f64 y 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 x (.f64 -1 x)) x) (pow.f64 y 2))) (.f64 -1 (/.f64 (+.f64 (.f64 -2 (.f64 (-.f64 x (.f64 -1 x)) (pow.f64 x 2))) (.f64 -2 (.f64 (pow.f64 (-.f64 x (.f64 -1 x)) 2) x))) (pow.f64 y 3))))))))))) (+.f64 1 (*.f64 -1 (/.f64 x y))))
-1
(-.f64 (.f64 -1 (/.f64 (-.f64 (+.f64 (.f64 -1 x) (.f64 2 (-.f64 (.f64 -1 x) x))) x) y)) 1)
(-.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 (-.f64 (.f64 -1 x) x) 2) (pow.f64 y 2))) (+.f64 (.f64 -1 (/.f64 (-.f64 (+.f64 (.f64 -1 x) (.f64 2 (-.f64 (.f64 -1 x) x))) x) y)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -2 (.f64 (-.f64 (.f64 -1 x) x) x)) (pow.f64 (-.f64 (.f64 -1 x) x) 2)) (pow.f64 y 2))) (/.f64 (.f64 (-.f64 (*.f64 -1 x) x) x) (pow.f64 y 2))))) 1)
(-.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 (-.f64 (.f64 -1 x) x) 2) (pow.f64 y 2))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (-.f64 (.f64 -1 x) x) (pow.f64 x 2)) (+.f64 (.f64 (-.f64 (.f64 -1 x) x) (+.f64 (.f64 -2 (.f64 (-.f64 (.f64 -1 x) x) x)) (pow.f64 (-.f64 (.f64 -1 x) x) 2))) (+.f64 (.f64 -1 (+.f64 (.f64 2 (.f64 (pow.f64 (-.f64 (.f64 -1 x) x) 2) x)) (.f64 -2 (.f64 (-.f64 (.f64 -1 x) x) (pow.f64 x 2))))) (.f64 -2 (.f64 (pow.f64 (-.f64 (.f64 -1 x) x) 2) x))))) (pow.f64 y 3))) (+.f64 (.f64 -1 (/.f64 (-.f64 (+.f64 (.f64 -1 x) (.f64 2 (-.f64 (.f64 -1 x) x))) x) y)) (+.f64 (/.f64 (.f64 (-.f64 (.f64 -1 x) x) x) (pow.f64 y 2)) (.f64 -1 (/.f64 (+.f64 (.f64 -2 (.f64 (-.f64 (.f64 -1 x) x) x)) (pow.f64 (-.f64 (.f64 -1 x) x) 2)) (pow.f64 y 2))))))) 1)

Outputs
-1
(-.f64 (*.f64 2 (/.f64 x y)) 1)
(fma.f64 2 (/.f64 x y) -1)
(-.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (.f64 2 (/.f64 x y))) 1)
(+.f64 (.f64 -2 (/.f64 (.f64 x x) (*.f64 y y))) (fma.f64 2 (/.f64 x y) -1))
(fma.f64 -2 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 2 (/.f64 x y) -1))
(+.f64 -1 (.f64 (/.f64 x y) (+.f64 (.f64 (/.f64 x y) -2) 2)))
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(+.f64 1 (fma.f64 -2 (/.f64 y (/.f64 (.f64 x x) (-.f64 (neg.f64 y) y))) (fma.f64 -1 (/.f64 (.f64 (-.f64 (neg.f64 y) y) -3) x) (+.f64 (/.f64 (pow.f64 (-.f64 (neg.f64 y) y) 2) (.f64 x x)) (fma.f64 2 (/.f64 (pow.f64 (-.f64 (neg.f64 y) y) 2) (.f64 x x)) (.f64 -1 (+.f64 (/.f64 (fma.f64 -2 (.f64 (.f64 y y) (-.f64 (neg.f64 y) y)) (fma.f64 -1 (.f64 (-.f64 (neg.f64 y) y) (+.f64 (pow.f64 (-.f64 (neg.f64 y) y) 2) (.f64 -2 (.f64 y (-.f64 (neg.f64 y) y))))) (fma.f64 4 (.f64 y (pow.f64 (-.f64 (neg.f64 y) y) 2)) (neg.f64 (.f64 (.f64 y y) (-.f64 (neg.f64 y) y)))))) (pow.f64 x 3)) (/.f64 y (/.f64 (.f64 x x) (-.f64 (neg.f64 y) y))))))))))
(+.f64 1 (+.f64 (+.f64 (-.f64 (/.f64 (pow.f64 (.f64 y -2) 2) (.f64 x x)) (/.f64 (.f64 y -2) (/.f64 x -3))) (.f64 3 (/.f64 (pow.f64 (.f64 y -2) 2) (.f64 x x)))) (-.f64 (/.f64 (neg.f64 y) (/.f64 x (/.f64 (.f64 y -2) x))) (/.f64 (fma.f64 -2 (.f64 -2 (pow.f64 y 3)) (-.f64 (fma.f64 (.f64 y 4) (pow.f64 (.f64 y -2) 2) (neg.f64 (.f64 -2 (pow.f64 y 3)))) (.f64 (.f64 y -2) (.f64 (.f64 y -2) (.f64 y -4))))) (pow.f64 x 3)))))
(+.f64 1 (+.f64 (-.f64 (fma.f64 3 (/.f64 (.f64 y (.f64 y 4)) (.f64 x x)) (.f64 2 (.f64 (/.f64 y x) (/.f64 y x)))) (/.f64 (+.f64 (-.f64 (.f64 2 (neg.f64 (pow.f64 (.f64 y -2) 3))) (.f64 2 (pow.f64 (.f64 y -2) 3))) (.f64 (.f64 -2 (pow.f64 y 3)) -3)) (pow.f64 x 3))) (-.f64 (/.f64 (.f64 y (.f64 y 4)) (.f64 x x)) (*.f64 (/.f64 y (/.f64 x -2)) -3))))
1
(+.f64 (*.f64 -6 (/.f64 y x)) 1)
(-.f64 (+.f64 1 (.f64 (/.f64 y x) -3)) (.f64 3 (/.f64 y x)))
(+.f64 1 (fma.f64 (/.f64 y x) -3 (*.f64 (/.f64 y x) -3)))
(fma.f64 (/.f64 y x) -6 1)
(+.f64 (.f64 -6 (/.f64 y x)) (+.f64 (.f64 18 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) 1))
(fma.f64 -6 (/.f64 y x) (fma.f64 18 (/.f64 (.f64 y y) (.f64 x x)) 1))
(fma.f64 (/.f64 y x) -6 (fma.f64 (*.f64 (/.f64 y x) (/.f64 y x)) 18 1))
(+.f64 (.f64 -6 (/.f64 y x)) (+.f64 (.f64 18 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (*.f64 -38 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) 1)))
(fma.f64 -6 (/.f64 y x) (fma.f64 18 (/.f64 (.f64 y y) (.f64 x x)) (fma.f64 -38 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) 1)))
(fma.f64 (/.f64 y x) -6 (fma.f64 (*.f64 (/.f64 y x) (/.f64 y x)) 18 (fma.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) -38 1)))
(fma.f64 (/.f64 y x) -6 (fma.f64 (*.f64 (/.f64 y x) (/.f64 y x)) 18 (fma.f64 (pow.f64 (/.f64 y x) 3) -38 1)))
-1
(-.f64 (+.f64 (/.f64 x y) (.f64 2 (/.f64 (-.f64 x (.f64 -1 x)) y))) (+.f64 1 (*.f64 -1 (/.f64 x y))))
(-.f64 (+.f64 (/.f64 x y) (*.f64 2 (/.f64 (-.f64 x (neg.f64 x)) y))) (+.f64 1 (/.f64 (neg.f64 x) y)))
(+.f64 (.f64 2 (.f64 2 (/.f64 x y))) (fma.f64 2 (/.f64 x y) -1))
(+.f64 (/.f64 (*.f64 x 4) y) (fma.f64 2 (/.f64 x y) -1))
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (pow.f64 (-.f64 x (.f64 -1 x)) 2) (.f64 2 (.f64 (-.f64 x (.f64 -1 x)) x))) (pow.f64 y 2))) (+.f64 (.f64 -2 (/.f64 (pow.f64 (-.f64 x (.f64 -1 x)) 2) (pow.f64 y 2))) (+.f64 (.f64 2 (/.f64 (-.f64 x (.f64 -1 x)) y)) (+.f64 (/.f64 x y) (.f64 -1 (/.f64 (.f64 (-.f64 x (.f64 -1 x)) x) (pow.f64 y 2))))))) (+.f64 1 (*.f64 -1 (/.f64 x y))))
(-.f64 (fma.f64 -1 (/.f64 (+.f64 (pow.f64 (-.f64 x (neg.f64 x)) 2) (.f64 2 (.f64 x (-.f64 x (neg.f64 x))))) (.f64 y y)) (fma.f64 -2 (/.f64 (pow.f64 (-.f64 x (neg.f64 x)) 2) (.f64 y y)) (fma.f64 2 (/.f64 (-.f64 x (neg.f64 x)) y) (+.f64 (/.f64 x y) (neg.f64 (/.f64 (-.f64 x (neg.f64 x)) (/.f64 (*.f64 y y) x))))))) (+.f64 1 (/.f64 (neg.f64 x) y)))
(fma.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 x x) 2) (pow.f64 (+.f64 x x) 2)) (.f64 y y)) (+.f64 (fma.f64 -2 (/.f64 (pow.f64 (+.f64 x x) 2) (.f64 y y)) (.f64 2 (.f64 2 (/.f64 x y)))) (+.f64 (.f64 (/.f64 x y) (/.f64 (.f64 x -2) y)) (fma.f64 2 (/.f64 x y) -1))))
(+.f64 (.f64 -2 (.f64 (.f64 (/.f64 x y) (/.f64 x y)) 4)) (+.f64 (fma.f64 -2 (.f64 (.f64 (/.f64 x y) (/.f64 x y)) 4) (/.f64 (.f64 x 4) y)) (+.f64 -1 (.f64 (/.f64 x y) (+.f64 (.f64 (/.f64 x y) -2) 2)))))
(-.f64 (+.f64 (/.f64 (.f64 (-.f64 x (.f64 -1 x)) (pow.f64 x 2)) (pow.f64 y 3)) (+.f64 (.f64 -2 (/.f64 (pow.f64 (-.f64 x (.f64 -1 x)) 2) (pow.f64 y 2))) (+.f64 (.f64 2 (/.f64 (-.f64 x (.f64 -1 x)) y)) (+.f64 (/.f64 (.f64 (+.f64 (pow.f64 (-.f64 x (.f64 -1 x)) 2) (.f64 2 (.f64 (-.f64 x (.f64 -1 x)) x))) (-.f64 x (.f64 -1 x))) (pow.f64 y 3)) (+.f64 (.f64 -1 (/.f64 (+.f64 (pow.f64 (-.f64 x (.f64 -1 x)) 2) (.f64 2 (.f64 (-.f64 x (.f64 -1 x)) x))) (pow.f64 y 2))) (+.f64 (/.f64 x y) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 (-.f64 x (.f64 -1 x)) 2) x) (pow.f64 y 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 x (.f64 -1 x)) x) (pow.f64 y 2))) (.f64 -1 (/.f64 (+.f64 (.f64 -2 (.f64 (-.f64 x (.f64 -1 x)) (pow.f64 x 2))) (.f64 -2 (.f64 (pow.f64 (-.f64 x (.f64 -1 x)) 2) x))) (pow.f64 y 3))))))))))) (+.f64 1 (*.f64 -1 (/.f64 x y))))
(+.f64 (/.f64 (-.f64 x (neg.f64 x)) (/.f64 (pow.f64 y 3) (.f64 x x))) (-.f64 (fma.f64 -2 (/.f64 (pow.f64 (-.f64 x (neg.f64 x)) 2) (.f64 y y)) (fma.f64 2 (/.f64 (-.f64 x (neg.f64 x)) y) (+.f64 (/.f64 (+.f64 (pow.f64 (-.f64 x (neg.f64 x)) 2) (.f64 2 (.f64 x (-.f64 x (neg.f64 x))))) (/.f64 (pow.f64 y 3) (-.f64 x (neg.f64 x)))) (fma.f64 -1 (/.f64 (+.f64 (pow.f64 (-.f64 x (neg.f64 x)) 2) (.f64 2 (.f64 x (-.f64 x (neg.f64 x))))) (.f64 y y)) (+.f64 (/.f64 x y) (fma.f64 2 (/.f64 (pow.f64 (-.f64 x (neg.f64 x)) 2) (/.f64 (pow.f64 y 3) x)) (.f64 -1 (+.f64 (/.f64 (-.f64 x (neg.f64 x)) (/.f64 (.f64 y y) x)) (/.f64 (.f64 -2 (+.f64 (.f64 (.f64 x x) (-.f64 x (neg.f64 x))) (*.f64 x (pow.f64 (-.f64 x (neg.f64 x)) 2)))) (pow.f64 y 3)))))))))) (+.f64 1 (/.f64 (neg.f64 x) y))))
(+.f64 (fma.f64 -2 (/.f64 (pow.f64 (+.f64 x x) 2) (.f64 y y)) (+.f64 (-.f64 (+.f64 (/.f64 x y) (+.f64 (/.f64 (.f64 2 (+.f64 (.f64 2 (pow.f64 x 3)) (.f64 x (pow.f64 (+.f64 x x) 2)))) (pow.f64 y 3)) (fma.f64 2 (/.f64 x (/.f64 (pow.f64 y 3) (pow.f64 (+.f64 x x) 2))) (.f64 (/.f64 x y) (/.f64 (.f64 x -2) y))))) (/.f64 (+.f64 (pow.f64 (+.f64 x x) 2) (pow.f64 (+.f64 x x) 2)) (.f64 y y))) (fma.f64 2 (.f64 2 (/.f64 x y)) (.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x x) 2) (pow.f64 (+.f64 x x) 2)) (pow.f64 y 3)) (+.f64 x x))))) (-.f64 (/.f64 (.f64 2 (pow.f64 x 3)) (pow.f64 y 3)) (-.f64 1 (/.f64 x y))))
(+.f64 (+.f64 (+.f64 (+.f64 (fma.f64 (/.f64 x y) (.f64 (/.f64 x y) -2) (/.f64 (.f64 3 (.f64 (.f64 x x) (.f64 x 4))) (pow.f64 y 3))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 (+.f64 x x) 3) (pow.f64 y 3)))) (.f64 (/.f64 (.f64 2 (.f64 x (.f64 x 4))) (.f64 y y)) (fma.f64 2 (/.f64 x y) -1))) (fma.f64 -2 (.f64 (.f64 (/.f64 x y) (/.f64 x y)) 4) (/.f64 (*.f64 x 4) y))) (fma.f64 2 (pow.f64 (/.f64 x y) 3) (+.f64 -1 (/.f64 x y))))
-1
(-.f64 (.f64 -1 (/.f64 (-.f64 (+.f64 (.f64 -1 x) (.f64 2 (-.f64 (.f64 -1 x) x))) x) y)) 1)
(fma.f64 -1 (/.f64 (-.f64 (fma.f64 -1 x (*.f64 2 (-.f64 (neg.f64 x) x))) x) y) -1)
(fma.f64 -1 (/.f64 (+.f64 (.f64 -2 (+.f64 x x)) (.f64 x -2)) y) -1)
(-.f64 -1 (/.f64 (.f64 3 (.f64 x -2)) y))
(-.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 (-.f64 (.f64 -1 x) x) 2) (pow.f64 y 2))) (+.f64 (.f64 -1 (/.f64 (-.f64 (+.f64 (.f64 -1 x) (.f64 2 (-.f64 (.f64 -1 x) x))) x) y)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -2 (.f64 (-.f64 (.f64 -1 x) x) x)) (pow.f64 (-.f64 (.f64 -1 x) x) 2)) (pow.f64 y 2))) (/.f64 (.f64 (-.f64 (*.f64 -1 x) x) x) (pow.f64 y 2))))) 1)
(+.f64 (fma.f64 -2 (/.f64 (pow.f64 (-.f64 (neg.f64 x) x) 2) (.f64 y y)) (fma.f64 -1 (/.f64 (-.f64 (fma.f64 -1 x (.f64 2 (-.f64 (neg.f64 x) x))) x) y) (fma.f64 -1 (/.f64 (fma.f64 -2 (.f64 x (-.f64 (neg.f64 x) x)) (pow.f64 (-.f64 (neg.f64 x) x) 2)) (.f64 y y)) (/.f64 (-.f64 (neg.f64 x) x) (/.f64 (*.f64 y y) x))))) -1)
(+.f64 -1 (fma.f64 -2 (/.f64 (pow.f64 (.f64 x -2) 2) (.f64 y y)) (-.f64 (-.f64 (.f64 (/.f64 x y) (/.f64 (.f64 x -2) y)) (/.f64 (+.f64 (pow.f64 (.f64 x -2) 2) (pow.f64 (.f64 x -2) 2)) (.f64 y y))) (/.f64 (+.f64 (.f64 -2 (+.f64 x x)) (*.f64 x -2)) y))))
(fma.f64 -2 (.f64 (.f64 (/.f64 x y) (/.f64 x y)) 4) (+.f64 (-.f64 (.f64 (/.f64 x y) (.f64 (/.f64 x y) -2)) (/.f64 (.f64 3 (.f64 x -2)) y)) (fma.f64 -2 (.f64 (.f64 (/.f64 x y) (/.f64 x y)) 4) -1)))
(-.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 (-.f64 (.f64 -1 x) x) 2) (pow.f64 y 2))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (-.f64 (.f64 -1 x) x) (pow.f64 x 2)) (+.f64 (.f64 (-.f64 (.f64 -1 x) x) (+.f64 (.f64 -2 (.f64 (-.f64 (.f64 -1 x) x) x)) (pow.f64 (-.f64 (.f64 -1 x) x) 2))) (+.f64 (.f64 -1 (+.f64 (.f64 2 (.f64 (pow.f64 (-.f64 (.f64 -1 x) x) 2) x)) (.f64 -2 (.f64 (-.f64 (.f64 -1 x) x) (pow.f64 x 2))))) (.f64 -2 (.f64 (pow.f64 (-.f64 (.f64 -1 x) x) 2) x))))) (pow.f64 y 3))) (+.f64 (.f64 -1 (/.f64 (-.f64 (+.f64 (.f64 -1 x) (.f64 2 (-.f64 (.f64 -1 x) x))) x) y)) (+.f64 (/.f64 (.f64 (-.f64 (.f64 -1 x) x) x) (pow.f64 y 2)) (.f64 -1 (/.f64 (+.f64 (.f64 -2 (.f64 (-.f64 (.f64 -1 x) x) x)) (pow.f64 (-.f64 (.f64 -1 x) x) 2)) (pow.f64 y 2))))))) 1)
(+.f64 (fma.f64 -2 (/.f64 (pow.f64 (-.f64 (neg.f64 x) x) 2) (.f64 y y)) (fma.f64 -1 (/.f64 (fma.f64 (-.f64 (neg.f64 x) x) (.f64 x x) (fma.f64 (-.f64 (neg.f64 x) x) (fma.f64 -2 (.f64 x (-.f64 (neg.f64 x) x)) (pow.f64 (-.f64 (neg.f64 x) x) 2)) (fma.f64 -1 (fma.f64 2 (.f64 x (pow.f64 (-.f64 (neg.f64 x) x) 2)) (.f64 -2 (.f64 (.f64 x x) (-.f64 (neg.f64 x) x)))) (.f64 -2 (.f64 x (pow.f64 (-.f64 (neg.f64 x) x) 2)))))) (pow.f64 y 3)) (fma.f64 -1 (/.f64 (-.f64 (fma.f64 -1 x (.f64 2 (-.f64 (neg.f64 x) x))) x) y) (fma.f64 -1 (/.f64 (fma.f64 -2 (.f64 x (-.f64 (neg.f64 x) x)) (pow.f64 (-.f64 (neg.f64 x) x) 2)) (.f64 y y)) (/.f64 (-.f64 (neg.f64 x) x) (/.f64 (*.f64 y y) x)))))) -1)
(+.f64 -1 (fma.f64 -2 (/.f64 (pow.f64 (.f64 x -2) 2) (.f64 y y)) (-.f64 (-.f64 (-.f64 (.f64 (/.f64 x y) (/.f64 (.f64 x -2) y)) (/.f64 (+.f64 (pow.f64 (.f64 x -2) 2) (pow.f64 (.f64 x -2) 2)) (.f64 y y))) (/.f64 (+.f64 (.f64 -2 (+.f64 x x)) (.f64 x -2)) y)) (/.f64 (+.f64 (+.f64 (+.f64 (pow.f64 (.f64 x -2) 3) (pow.f64 (.f64 x -2) 3)) (.f64 -2 (.f64 2 (pow.f64 x 3)))) (fma.f64 (.f64 x x) (.f64 x -2) (+.f64 (pow.f64 (.f64 x -2) 3) (pow.f64 (*.f64 x -2) 3)))) (pow.f64 y 3)))))
(+.f64 -1 (-.f64 (fma.f64 -2 (.f64 (.f64 (/.f64 x y) (/.f64 x y)) 4) (-.f64 (fma.f64 (/.f64 x y) (.f64 (/.f64 x y) -2) (.f64 -2 (.f64 (.f64 (/.f64 x y) (/.f64 x y)) 4))) (/.f64 (.f64 3 (.f64 x -2)) y))) (/.f64 (+.f64 (+.f64 (.f64 2 (.f64 (pow.f64 x 3) -8)) (.f64 3 (.f64 -2 (.f64 2 (pow.f64 x 3))))) (.f64 (.f64 x (.f64 x -2)) (+.f64 x (*.f64 x 4)))) (pow.f64 y 3))))

eval358.0ms (7%)

Compiler: Compiled 24607 to 8517 computations (65.4% saved)

prune139.0ms (2.7%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	925	5	930
Fresh	2	0	2
Picked	1	0	1
Done	2	3	5
Total	930	8	938

Error

Counts

938 → 8

Alt Table

Click to see full alt table

Status	Error	Program
	28.3b	-1
✓	27.3b	(-.f64 (*.f64 2 (/.f64 x y)) 1)
▶	0.0b	(/.f64 1 (/.f64 (+.f64 x y) (-.f64 x y)))
✓	35.5b	(+.f64 1 (*.f64 -2 (/.f64 y x)))
	36.3b	1
✓	0.0b	(/.f64 (-.f64 x y) (+.f64 x y))
▶	27.3b	(-.f64 (/.f64 x y) (/.f64 y (+.f64 x y)))
▶	18.1b	(/.f64 (-.f64 (+.f64 x y) (.f64 (/.f64 (+.f64 x y) x) y)) (.f64 (/.f64 (+.f64 x y) x) (+.f64 x y)))

Compiler

Compiled 78 to 46 computations (41% saved)

localize25.0ms (0.5%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.1b	(*.f64 (/.f64 (+.f64 x y) x) y)
	0.1b	(*.f64 (/.f64 (+.f64 x y) x) (+.f64 x y))
	0.0b	(/.f64 (+.f64 x y) x)
	0.0b	(-.f64 (+.f64 x y) (*.f64 (/.f64 (+.f64 x y) x) y))
✓	0.0b	(/.f64 (+.f64 x y) x)
✓	0.1b	(*.f64 (/.f64 (+.f64 x y) x) (+.f64 x y))
✓	0.1b	(*.f64 (/.f64 (+.f64 x y) x) y)
✓	17.9b	(/.f64 (-.f64 (+.f64 x y) (.f64 (/.f64 (+.f64 x y) x) y)) (.f64 (/.f64 (+.f64 x y) x) (+.f64 x y)))

Compiler

Compiled 60 to 8 computations (86.7% saved)

series27.0ms (0.5%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
4.0ms	x	@	inf	(*.f64 (/.f64 (+.f64 x y) x) y)
3.0ms	y	@	0	(*.f64 (/.f64 (+.f64 x y) x) y)
2.0ms	x	@	-inf	(/.f64 (-.f64 (+.f64 x y) (.f64 (/.f64 (+.f64 x y) x) y)) (.f64 (/.f64 (+.f64 x y) x) (+.f64 x y)))
1.0ms	x	@	inf	(/.f64 (-.f64 (+.f64 x y) (.f64 (/.f64 (+.f64 x y) x) y)) (.f64 (/.f64 (+.f64 x y) x) (+.f64 x y)))
1.0ms	y	@	inf	(/.f64 (-.f64 (+.f64 x y) (.f64 (/.f64 (+.f64 x y) x) y)) (.f64 (/.f64 (+.f64 x y) x) (+.f64 x y)))

rewrite146.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

768×	`log-prod_binary64`
593×	`fma-def_binary64`
308×	`log-div_binary64`
288×	`fma-neg_binary64`
220×	`expm1-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	61
1	230	55
2	4227	53

Stop Event

1×	node limit

Counts

4 → 218

Calls

Call 1

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

Outputs
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x) (/.f64 (+.f64 x y) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) x)) 2)) (cbrt.f64 (/.f64 (+.f64 x y) x)) (/.f64 (+.f64 x y) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x (sqrt.f64 (/.f64 (+.f64 x y) x))) (sqrt.f64 (/.f64 (+.f64 x y) x)) (/.f64 (+.f64 x y) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 y (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) x)) 2)) (cbrt.f64 (/.f64 (+.f64 x y) x)) (.f64 x (/.f64 (+.f64 x y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 y (sqrt.f64 (/.f64 (+.f64 x y) x))) (sqrt.f64 (/.f64 (+.f64 x y) x)) (.f64 x (/.f64 (+.f64 x y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (/.f64 (+.f64 x y) x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (.f64 x (/.f64 (+.f64 x y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (/.f64 (+.f64 x y) x) (sqrt.f64 y)) (sqrt.f64 y) (*.f64 x (/.f64 (+.f64 x y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (pow.f64 (+.f64 x y) 2) x)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 x y) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x y) x))) (cbrt.f64 (exp.f64 (/.f64 (+.f64 x y) x))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x y) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x y) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 x y) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 x y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (+.f64 x y) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (+.f64 x y) x)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) x)) 2) (cbrt.f64 (/.f64 (+.f64 x y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (+.f64 x y) 2)) (.f64 (cbrt.f64 (+.f64 x y)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (+.f64 x y) x)) (sqrt.f64 (/.f64 (+.f64 x y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 x y)) (.f64 (sqrt.f64 (+.f64 x y)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (+.f64 x y)) (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 x) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 x y) 2)) 1) (/.f64 (cbrt.f64 (+.f64 x y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (+.f64 x y)) 1) (/.f64 (sqrt.f64 (+.f64 x y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 x y) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 x y) 2)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (+.f64 x y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (+.f64 x y) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 x y) 2)) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 x y)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 x y) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 x y) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (+.f64 x y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 x y) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 x y) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 x y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 x y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 x y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x y) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 x y) x)))))))

simplify124.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

528×	`fma-def_binary64`
490×	`sub-neg_binary64`
397×	`times-frac_binary64`
392×	`div-sub_binary64`
340×	`associate-/l*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	106	1308
1	347	1242
2	1337	1030
3	6647	1012

Stop Event

1×	node limit

Counts

314 → 257

Calls

Call 1

Inputs
-1
(-.f64 (*.f64 2 (/.f64 x y)) 1)
(-.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (.f64 2 (/.f64 x y))) 1)
(-.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (.f64 2 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 2 (/.f64 x y)))) 1)
1
(+.f64 1 (*.f64 -2 (/.f64 y x)))
(-.f64 (+.f64 1 (+.f64 (.f64 -2 (/.f64 y x)) (.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (*.f64 -4 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))
(-.f64 (+.f64 1 (+.f64 (.f64 -2 (/.f64 y x)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 2 (.f64 y (-.f64 (.f64 -1 (pow.f64 y 2)) (+.f64 (pow.f64 y 2) (.f64 -4 (pow.f64 y 2)))))) (.f64 -2 (pow.f64 y 3))) (pow.f64 x 3))) (.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))) (+.f64 (*.f64 -4 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
1
(+.f64 1 (*.f64 -2 (/.f64 y x)))
(+.f64 (.f64 -1 (/.f64 (-.f64 (pow.f64 y 2) (+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 4 (pow.f64 y 2)))) (pow.f64 x 2))) (+.f64 1 (.f64 -2 (/.f64 y x))))
(+.f64 (.f64 -1 (/.f64 (-.f64 (pow.f64 y 2) (+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 4 (pow.f64 y 2)))) (pow.f64 x 2))) (+.f64 1 (+.f64 (.f64 -2 (/.f64 y x)) (.f64 -1 (/.f64 (+.f64 (.f64 -2 (.f64 y (-.f64 (pow.f64 y 2) (+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 4 (pow.f64 y 2)))))) (.f64 -2 (pow.f64 y 3))) (pow.f64 x 3))))))
1
(+.f64 1 (*.f64 -2 (/.f64 y x)))
(+.f64 1 (+.f64 (.f64 -2 (/.f64 y x)) (.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))
(+.f64 (.f64 -2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 1 (+.f64 (.f64 -2 (/.f64 y x)) (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))))
-1
(-.f64 (*.f64 2 (/.f64 x y)) 1)
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (.f64 2 (/.f64 x y))) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (*.f64 4 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))))
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 2 (pow.f64 x 3)) (.f64 2 (.f64 (-.f64 (pow.f64 x 2) (+.f64 (.f64 4 (pow.f64 x 2)) (.f64 -1 (pow.f64 x 2)))) x))) (pow.f64 y 3))) (.f64 2 (/.f64 x y)))) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (*.f64 4 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))))
-1
(-.f64 (*.f64 2 (/.f64 x y)) 1)
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (.f64 2 (/.f64 x y))) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (*.f64 4 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))))
(-.f64 (+.f64 (.f64 -2 (/.f64 (.f64 (-.f64 (pow.f64 x 2) (+.f64 (.f64 4 (pow.f64 x 2)) (.f64 -1 (pow.f64 x 2)))) x) (pow.f64 y 3))) (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (.f64 2 (/.f64 x y))))) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (.f64 4 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))))
(/.f64 (pow.f64 y 2) x)
(+.f64 (/.f64 (pow.f64 y 2) x) y)
(+.f64 (/.f64 (pow.f64 y 2) x) y)
(+.f64 (/.f64 (pow.f64 y 2) x) y)
y
(+.f64 (/.f64 (pow.f64 y 2) x) y)
(+.f64 (/.f64 (pow.f64 y 2) x) y)
(+.f64 (/.f64 (pow.f64 y 2) x) y)
y
(+.f64 (/.f64 (pow.f64 y 2) x) y)
(+.f64 (/.f64 (pow.f64 y 2) x) y)
(+.f64 (/.f64 (pow.f64 y 2) x) y)
y
(+.f64 (/.f64 (pow.f64 y 2) x) y)
(+.f64 (/.f64 (pow.f64 y 2) x) y)
(+.f64 (/.f64 (pow.f64 y 2) x) y)
(/.f64 (pow.f64 y 2) x)
(+.f64 (/.f64 (pow.f64 y 2) x) y)
(+.f64 (/.f64 (pow.f64 y 2) x) y)
(+.f64 (/.f64 (pow.f64 y 2) x) y)
(/.f64 (pow.f64 y 2) x)
(+.f64 (/.f64 (pow.f64 y 2) x) y)
(+.f64 (/.f64 (pow.f64 y 2) x) y)
(+.f64 (/.f64 (pow.f64 y 2) x) y)
(/.f64 (pow.f64 y 2) x)
(+.f64 (*.f64 2 y) (/.f64 (pow.f64 y 2) x))
(+.f64 (*.f64 2 y) (+.f64 (/.f64 (pow.f64 y 2) x) x))
(+.f64 (*.f64 2 y) (+.f64 (/.f64 (pow.f64 y 2) x) x))
x
(+.f64 (*.f64 2 y) x)
(+.f64 (*.f64 2 y) (+.f64 (/.f64 (pow.f64 y 2) x) x))
(+.f64 (*.f64 2 y) (+.f64 (/.f64 (pow.f64 y 2) x) x))
x
(+.f64 (*.f64 2 y) x)
(+.f64 (*.f64 2 y) (+.f64 (/.f64 (pow.f64 y 2) x) x))
(+.f64 (*.f64 2 y) (+.f64 (/.f64 (pow.f64 y 2) x) x))
x
(+.f64 (*.f64 2 y) x)
(+.f64 (*.f64 2 y) (+.f64 (/.f64 (pow.f64 y 2) x) x))
(+.f64 (*.f64 2 y) (+.f64 (/.f64 (pow.f64 y 2) x) x))
(/.f64 (pow.f64 y 2) x)
(+.f64 (*.f64 2 y) (/.f64 (pow.f64 y 2) x))
(+.f64 (*.f64 2 y) (+.f64 (/.f64 (pow.f64 y 2) x) x))
(+.f64 (*.f64 2 y) (+.f64 (/.f64 (pow.f64 y 2) x) x))
(/.f64 (pow.f64 y 2) x)
(+.f64 (*.f64 2 y) (/.f64 (pow.f64 y 2) x))
(+.f64 (*.f64 2 y) (+.f64 (/.f64 (pow.f64 y 2) x) x))
(+.f64 (*.f64 2 y) (+.f64 (/.f64 (pow.f64 y 2) x) x))
(/.f64 y x)
(+.f64 1 (/.f64 y x))
(+.f64 1 (/.f64 y x))
(+.f64 1 (/.f64 y x))
1
(+.f64 (/.f64 y x) 1)
(+.f64 (/.f64 y x) 1)
(+.f64 (/.f64 y x) 1)
1
(+.f64 (/.f64 y x) 1)
(+.f64 (/.f64 y x) 1)
(+.f64 (/.f64 y x) 1)
1
(+.f64 (/.f64 y x) 1)
(+.f64 (/.f64 y x) 1)
(+.f64 (/.f64 y x) 1)
(/.f64 y x)
(+.f64 1 (/.f64 y x))
(+.f64 1 (/.f64 y x))
(+.f64 1 (/.f64 y x))
(/.f64 y x)
(+.f64 1 (/.f64 y x))
(+.f64 1 (/.f64 y x))
(+.f64 1 (/.f64 y x))

Outputs
-1
(-.f64 (*.f64 2 (/.f64 x y)) 1)
(fma.f64 2 (/.f64 x y) -1)
(-.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (.f64 2 (/.f64 x y))) 1)
(+.f64 (/.f64 (.f64 -2 (.f64 x x)) (*.f64 y y)) (fma.f64 2 (/.f64 x y) -1))
(fma.f64 -2 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 2 (/.f64 x y) -1))
(fma.f64 2 (/.f64 x y) (fma.f64 -2 (*.f64 (/.f64 x y) (/.f64 x y)) -1))
(-.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (.f64 2 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 2 (/.f64 x y)))) 1)
(+.f64 (fma.f64 -2 (/.f64 (.f64 x x) (.f64 y y)) (*.f64 2 (+.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 x y)))) -1)
(fma.f64 -2 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 2 (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) -1))
(fma.f64 2 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 3)) (fma.f64 -2 (*.f64 (/.f64 x y) (/.f64 x y)) -1))
1
(+.f64 1 (*.f64 -2 (/.f64 y x)))
(fma.f64 -2 (/.f64 y x) 1)
(-.f64 (+.f64 1 (+.f64 (.f64 -2 (/.f64 y x)) (.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (*.f64 -4 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))
(+.f64 1 (-.f64 (fma.f64 -2 (/.f64 y x) (neg.f64 (/.f64 (.f64 y y) (.f64 x x)))) (.f64 -3 (/.f64 (.f64 y y) (*.f64 x x)))))
(+.f64 (-.f64 (fma.f64 -2 (/.f64 y x) 1) (.f64 (/.f64 y x) (/.f64 y x))) (.f64 3 (*.f64 (/.f64 y x) (/.f64 y x))))
(fma.f64 2 (/.f64 y (*.f64 x (/.f64 x y))) (fma.f64 -2 (/.f64 y x) 1))
(-.f64 (+.f64 1 (+.f64 (.f64 -2 (/.f64 y x)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 2 (.f64 y (-.f64 (.f64 -1 (pow.f64 y 2)) (+.f64 (pow.f64 y 2) (.f64 -4 (pow.f64 y 2)))))) (.f64 -2 (pow.f64 y 3))) (pow.f64 x 3))) (.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))) (+.f64 (*.f64 -4 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(-.f64 (+.f64 1 (fma.f64 -2 (/.f64 y x) (.f64 -1 (+.f64 (/.f64 (fma.f64 2 (.f64 y (-.f64 (neg.f64 (.f64 y y)) (.f64 -3 (.f64 y y)))) (.f64 -2 (pow.f64 y 3))) (pow.f64 x 3)) (/.f64 (.f64 y y) (.f64 x x)))))) (.f64 -3 (/.f64 (.f64 y y) (*.f64 x x))))
(+.f64 (fma.f64 -2 (/.f64 y x) 1) (-.f64 (-.f64 (/.f64 (.f64 y (neg.f64 y)) (.f64 x x)) (/.f64 (fma.f64 -2 (pow.f64 y 3) (.f64 (.f64 2 (.f64 y y)) (.f64 2 y))) (pow.f64 x 3))) (/.f64 (.f64 (.f64 y y) -3) (*.f64 x x))))
(fma.f64 -2 (pow.f64 (/.f64 y x) 3) (fma.f64 2 (/.f64 y (*.f64 x (/.f64 x y))) (fma.f64 -2 (/.f64 y x) 1)))
1
(+.f64 1 (*.f64 -2 (/.f64 y x)))
(fma.f64 -2 (/.f64 y x) 1)
(+.f64 (.f64 -1 (/.f64 (-.f64 (pow.f64 y 2) (+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 4 (pow.f64 y 2)))) (pow.f64 x 2))) (+.f64 1 (.f64 -2 (/.f64 y x))))
(+.f64 1 (-.f64 (fma.f64 -2 (/.f64 y x) (neg.f64 (/.f64 (.f64 y y) (.f64 x x)))) (.f64 -3 (/.f64 (.f64 y y) (*.f64 x x)))))
(+.f64 (-.f64 (fma.f64 -2 (/.f64 y x) 1) (.f64 (/.f64 y x) (/.f64 y x))) (.f64 3 (*.f64 (/.f64 y x) (/.f64 y x))))
(fma.f64 2 (/.f64 y (*.f64 x (/.f64 x y))) (fma.f64 -2 (/.f64 y x) 1))
(+.f64 (.f64 -1 (/.f64 (-.f64 (pow.f64 y 2) (+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 4 (pow.f64 y 2)))) (pow.f64 x 2))) (+.f64 1 (+.f64 (.f64 -2 (/.f64 y x)) (.f64 -1 (/.f64 (+.f64 (.f64 -2 (.f64 y (-.f64 (pow.f64 y 2) (+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 4 (pow.f64 y 2)))))) (.f64 -2 (pow.f64 y 3))) (pow.f64 x 3))))))
(-.f64 (+.f64 1 (fma.f64 -2 (/.f64 y x) (.f64 -1 (+.f64 (/.f64 (fma.f64 2 (.f64 y (-.f64 (neg.f64 (.f64 y y)) (.f64 -3 (.f64 y y)))) (.f64 -2 (pow.f64 y 3))) (pow.f64 x 3)) (/.f64 (.f64 y y) (.f64 x x)))))) (.f64 -3 (/.f64 (.f64 y y) (*.f64 x x))))
(+.f64 (fma.f64 -2 (/.f64 y x) 1) (-.f64 (-.f64 (/.f64 (.f64 y (neg.f64 y)) (.f64 x x)) (/.f64 (fma.f64 -2 (pow.f64 y 3) (.f64 (.f64 2 (.f64 y y)) (.f64 2 y))) (pow.f64 x 3))) (/.f64 (.f64 (.f64 y y) -3) (*.f64 x x))))
(fma.f64 -2 (pow.f64 (/.f64 y x) 3) (fma.f64 2 (/.f64 y (*.f64 x (/.f64 x y))) (fma.f64 -2 (/.f64 y x) 1)))
1
(+.f64 1 (*.f64 -2 (/.f64 y x)))
(fma.f64 -2 (/.f64 y x) 1)
(+.f64 1 (+.f64 (.f64 -2 (/.f64 y x)) (.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))
(+.f64 1 (-.f64 (fma.f64 -2 (/.f64 y x) (neg.f64 (/.f64 (.f64 y y) (.f64 x x)))) (.f64 -3 (/.f64 (.f64 y y) (*.f64 x x)))))
(+.f64 (-.f64 (fma.f64 -2 (/.f64 y x) 1) (.f64 (/.f64 y x) (/.f64 y x))) (.f64 3 (*.f64 (/.f64 y x) (/.f64 y x))))
(fma.f64 2 (/.f64 y (*.f64 x (/.f64 x y))) (fma.f64 -2 (/.f64 y x) 1))
(+.f64 (.f64 -2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 1 (+.f64 (.f64 -2 (/.f64 y x)) (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))))
(-.f64 (+.f64 1 (fma.f64 -2 (/.f64 y x) (.f64 -1 (+.f64 (/.f64 (fma.f64 2 (.f64 y (-.f64 (neg.f64 (.f64 y y)) (.f64 -3 (.f64 y y)))) (.f64 -2 (pow.f64 y 3))) (pow.f64 x 3)) (/.f64 (.f64 y y) (.f64 x x)))))) (.f64 -3 (/.f64 (.f64 y y) (*.f64 x x))))
(+.f64 (fma.f64 -2 (/.f64 y x) 1) (-.f64 (-.f64 (/.f64 (.f64 y (neg.f64 y)) (.f64 x x)) (/.f64 (fma.f64 -2 (pow.f64 y 3) (.f64 (.f64 2 (.f64 y y)) (.f64 2 y))) (pow.f64 x 3))) (/.f64 (.f64 (.f64 y y) -3) (*.f64 x x))))
(fma.f64 -2 (pow.f64 (/.f64 y x) 3) (fma.f64 2 (/.f64 y (*.f64 x (/.f64 x y))) (fma.f64 -2 (/.f64 y x) 1)))
-1
(-.f64 (*.f64 2 (/.f64 x y)) 1)
(fma.f64 2 (/.f64 x y) -1)
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (.f64 2 (/.f64 x y))) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (*.f64 4 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))))
(-.f64 (+.f64 (.f64 2 (/.f64 x y)) (/.f64 (.f64 x x) (.f64 y y))) (fma.f64 -1 (/.f64 (.f64 x x) (.f64 y y)) (+.f64 1 (/.f64 (.f64 (.f64 x x) 4) (.f64 y y)))))
(-.f64 (fma.f64 2 (/.f64 x y) (.f64 (/.f64 x y) (/.f64 x y))) (-.f64 (fma.f64 (.f64 (/.f64 x y) (/.f64 x y)) 4 1) (*.f64 (/.f64 x y) (/.f64 x y))))
(-.f64 (-.f64 (.f64 (/.f64 x y) (+.f64 (/.f64 x y) 2)) 1) (.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 3))
(fma.f64 2 (/.f64 x y) (+.f64 (/.f64 (.f64 x (-.f64 x (.f64 x 3))) (*.f64 y y)) -1))
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 2 (pow.f64 x 3)) (.f64 2 (.f64 (-.f64 (pow.f64 x 2) (+.f64 (.f64 4 (pow.f64 x 2)) (.f64 -1 (pow.f64 x 2)))) x))) (pow.f64 y 3))) (.f64 2 (/.f64 x y)))) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (*.f64 4 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))))
(-.f64 (+.f64 (/.f64 (.f64 x x) (.f64 y y)) (fma.f64 -1 (/.f64 (.f64 2 (+.f64 (pow.f64 x 3) (.f64 x (-.f64 (.f64 x x) (.f64 (.f64 x x) 3))))) (pow.f64 y 3)) (.f64 2 (/.f64 x y)))) (fma.f64 -1 (/.f64 (.f64 x x) (.f64 y y)) (+.f64 1 (/.f64 (.f64 (.f64 x x) 4) (*.f64 y y)))))
(-.f64 (+.f64 (fma.f64 2 (/.f64 x y) (.f64 (/.f64 x y) (/.f64 x y))) (/.f64 (.f64 -2 (+.f64 (pow.f64 x 3) (.f64 x (fma.f64 x x (.f64 (.f64 x x) -3))))) (pow.f64 y 3))) (-.f64 (fma.f64 (.f64 (/.f64 x y) (/.f64 x y)) 4 1) (*.f64 (/.f64 x y) (/.f64 x y))))
(+.f64 (.f64 (/.f64 x y) (+.f64 (/.f64 x y) 2)) (+.f64 (/.f64 -2 (/.f64 (pow.f64 y 3) (.f64 x (fma.f64 x x (.f64 x (-.f64 x (.f64 x 3))))))) (-.f64 -1 (.f64 (.f64 (/.f64 x y) (/.f64 x y)) 3))))
(+.f64 (/.f64 -2 (/.f64 (pow.f64 y 3) (.f64 x (fma.f64 x x (.f64 x (-.f64 x (.f64 x 3))))))) (fma.f64 2 (/.f64 x y) (+.f64 (/.f64 (.f64 x (-.f64 x (.f64 x 3))) (.f64 y y)) -1)))
-1
(-.f64 (*.f64 2 (/.f64 x y)) 1)
(fma.f64 2 (/.f64 x y) -1)
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (.f64 2 (/.f64 x y))) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (*.f64 4 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))))
(-.f64 (+.f64 (.f64 2 (/.f64 x y)) (/.f64 (.f64 x x) (.f64 y y))) (fma.f64 -1 (/.f64 (.f64 x x) (.f64 y y)) (+.f64 1 (/.f64 (.f64 (.f64 x x) 4) (.f64 y y)))))
(-.f64 (fma.f64 2 (/.f64 x y) (.f64 (/.f64 x y) (/.f64 x y))) (-.f64 (fma.f64 (.f64 (/.f64 x y) (/.f64 x y)) 4 1) (*.f64 (/.f64 x y) (/.f64 x y))))
(-.f64 (-.f64 (.f64 (/.f64 x y) (+.f64 (/.f64 x y) 2)) 1) (.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 3))
(fma.f64 2 (/.f64 x y) (+.f64 (/.f64 (.f64 x (-.f64 x (.f64 x 3))) (*.f64 y y)) -1))
(-.f64 (+.f64 (.f64 -2 (/.f64 (.f64 (-.f64 (pow.f64 x 2) (+.f64 (.f64 4 (pow.f64 x 2)) (.f64 -1 (pow.f64 x 2)))) x) (pow.f64 y 3))) (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (.f64 2 (/.f64 x y))))) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (.f64 4 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))))
(-.f64 (fma.f64 -2 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) 3)) (/.f64 (pow.f64 y 3) x)) (+.f64 (/.f64 (.f64 x x) (.f64 y y)) (fma.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (.f64 2 (/.f64 x y))))) (fma.f64 -1 (/.f64 (.f64 x x) (.f64 y y)) (+.f64 1 (/.f64 (.f64 (.f64 x x) 4) (*.f64 y y)))))
(+.f64 (fma.f64 -2 (.f64 (/.f64 (fma.f64 x x (.f64 (.f64 x x) -3)) (pow.f64 y 3)) x) (.f64 (/.f64 x y) (/.f64 x y))) (-.f64 (fma.f64 2 (/.f64 x y) (.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) (-.f64 (fma.f64 (.f64 (/.f64 x y) (/.f64 x y)) 4 1) (*.f64 (/.f64 x y) (/.f64 x y)))))
(+.f64 (fma.f64 -2 (/.f64 (+.f64 (pow.f64 x 3) (.f64 (pow.f64 x 3) -3)) (pow.f64 y 3)) (fma.f64 -2 (pow.f64 (/.f64 x y) 3) (.f64 (/.f64 x y) (+.f64 (/.f64 x y) 2)))) (-.f64 -1 (.f64 (.f64 (/.f64 x y) (/.f64 x y)) 3)))
(+.f64 (+.f64 (/.f64 (.f64 x (-.f64 x (.f64 x 3))) (.f64 y y)) -1) (fma.f64 -2 (/.f64 (+.f64 (pow.f64 x 3) (.f64 (pow.f64 x 3) -3)) (pow.f64 y 3)) (fma.f64 2 (/.f64 x y) (*.f64 -2 (pow.f64 (/.f64 x y) 3)))))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 (/.f64 y x) y)
(+.f64 (/.f64 (pow.f64 y 2) x) y)
(+.f64 y (/.f64 (*.f64 y y) x))
(+.f64 y (/.f64 y (/.f64 x y)))
(+.f64 y (*.f64 (/.f64 y x) y))
(+.f64 (/.f64 (pow.f64 y 2) x) y)
(+.f64 y (/.f64 (*.f64 y y) x))
(+.f64 y (/.f64 y (/.f64 x y)))
(+.f64 y (*.f64 (/.f64 y x) y))
(+.f64 (/.f64 (pow.f64 y 2) x) y)
(+.f64 y (/.f64 (*.f64 y y) x))
(+.f64 y (/.f64 y (/.f64 x y)))
(+.f64 y (*.f64 (/.f64 y x) y))
y
(+.f64 (/.f64 (pow.f64 y 2) x) y)
(+.f64 y (/.f64 (*.f64 y y) x))
(+.f64 y (/.f64 y (/.f64 x y)))
(+.f64 y (*.f64 (/.f64 y x) y))
(+.f64 (/.f64 (pow.f64 y 2) x) y)
(+.f64 y (/.f64 (*.f64 y y) x))
(+.f64 y (/.f64 y (/.f64 x y)))
(+.f64 y (*.f64 (/.f64 y x) y))
(+.f64 (/.f64 (pow.f64 y 2) x) y)
(+.f64 y (/.f64 (*.f64 y y) x))
(+.f64 y (/.f64 y (/.f64 x y)))
(+.f64 y (*.f64 (/.f64 y x) y))
y
(+.f64 (/.f64 (pow.f64 y 2) x) y)
(+.f64 y (/.f64 (*.f64 y y) x))
(+.f64 y (/.f64 y (/.f64 x y)))
(+.f64 y (*.f64 (/.f64 y x) y))
(+.f64 (/.f64 (pow.f64 y 2) x) y)
(+.f64 y (/.f64 (*.f64 y y) x))
(+.f64 y (/.f64 y (/.f64 x y)))
(+.f64 y (*.f64 (/.f64 y x) y))
(+.f64 (/.f64 (pow.f64 y 2) x) y)
(+.f64 y (/.f64 (*.f64 y y) x))
(+.f64 y (/.f64 y (/.f64 x y)))
(+.f64 y (*.f64 (/.f64 y x) y))
y
(+.f64 (/.f64 (pow.f64 y 2) x) y)
(+.f64 y (/.f64 (*.f64 y y) x))
(+.f64 y (/.f64 y (/.f64 x y)))
(+.f64 y (*.f64 (/.f64 y x) y))
(+.f64 (/.f64 (pow.f64 y 2) x) y)
(+.f64 y (/.f64 (*.f64 y y) x))
(+.f64 y (/.f64 y (/.f64 x y)))
(+.f64 y (*.f64 (/.f64 y x) y))
(+.f64 (/.f64 (pow.f64 y 2) x) y)
(+.f64 y (/.f64 (*.f64 y y) x))
(+.f64 y (/.f64 y (/.f64 x y)))
(+.f64 y (*.f64 (/.f64 y x) y))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 (/.f64 y x) y)
(+.f64 (/.f64 (pow.f64 y 2) x) y)
(+.f64 y (/.f64 (*.f64 y y) x))
(+.f64 y (/.f64 y (/.f64 x y)))
(+.f64 y (*.f64 (/.f64 y x) y))
(+.f64 (/.f64 (pow.f64 y 2) x) y)
(+.f64 y (/.f64 (*.f64 y y) x))
(+.f64 y (/.f64 y (/.f64 x y)))
(+.f64 y (*.f64 (/.f64 y x) y))
(+.f64 (/.f64 (pow.f64 y 2) x) y)
(+.f64 y (/.f64 (*.f64 y y) x))
(+.f64 y (/.f64 y (/.f64 x y)))
(+.f64 y (*.f64 (/.f64 y x) y))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 (/.f64 y x) y)
(+.f64 (/.f64 (pow.f64 y 2) x) y)
(+.f64 y (/.f64 (*.f64 y y) x))
(+.f64 y (/.f64 y (/.f64 x y)))
(+.f64 y (*.f64 (/.f64 y x) y))
(+.f64 (/.f64 (pow.f64 y 2) x) y)
(+.f64 y (/.f64 (*.f64 y y) x))
(+.f64 y (/.f64 y (/.f64 x y)))
(+.f64 y (*.f64 (/.f64 y x) y))
(+.f64 (/.f64 (pow.f64 y 2) x) y)
(+.f64 y (/.f64 (*.f64 y y) x))
(+.f64 y (/.f64 y (/.f64 x y)))
(+.f64 y (*.f64 (/.f64 y x) y))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 (/.f64 y x) y)
(+.f64 (*.f64 2 y) (/.f64 (pow.f64 y 2) x))
(fma.f64 2 y (/.f64 (*.f64 y y) x))
(fma.f64 2 y (/.f64 y (/.f64 x y)))
(fma.f64 2 y (*.f64 (/.f64 y x) y))
(+.f64 (*.f64 2 y) (+.f64 (/.f64 (pow.f64 y 2) x) x))
(fma.f64 2 y (+.f64 x (/.f64 (*.f64 y y) x)))
(+.f64 (/.f64 y (/.f64 x y)) (fma.f64 2 y x))
(+.f64 (*.f64 (/.f64 y x) y) (fma.f64 2 y x))
(+.f64 (*.f64 2 y) (+.f64 (/.f64 (pow.f64 y 2) x) x))
(fma.f64 2 y (+.f64 x (/.f64 (*.f64 y y) x)))
(+.f64 (/.f64 y (/.f64 x y)) (fma.f64 2 y x))
(+.f64 (*.f64 (/.f64 y x) y) (fma.f64 2 y x))
x
(+.f64 (*.f64 2 y) x)
(fma.f64 2 y x)
(+.f64 (*.f64 2 y) (+.f64 (/.f64 (pow.f64 y 2) x) x))
(fma.f64 2 y (+.f64 x (/.f64 (*.f64 y y) x)))
(+.f64 (/.f64 y (/.f64 x y)) (fma.f64 2 y x))
(+.f64 (*.f64 (/.f64 y x) y) (fma.f64 2 y x))
(+.f64 (*.f64 2 y) (+.f64 (/.f64 (pow.f64 y 2) x) x))
(fma.f64 2 y (+.f64 x (/.f64 (*.f64 y y) x)))
(+.f64 (/.f64 y (/.f64 x y)) (fma.f64 2 y x))
(+.f64 (*.f64 (/.f64 y x) y) (fma.f64 2 y x))
x
(+.f64 (*.f64 2 y) x)
(fma.f64 2 y x)
(+.f64 (*.f64 2 y) (+.f64 (/.f64 (pow.f64 y 2) x) x))
(fma.f64 2 y (+.f64 x (/.f64 (*.f64 y y) x)))
(+.f64 (/.f64 y (/.f64 x y)) (fma.f64 2 y x))
(+.f64 (*.f64 (/.f64 y x) y) (fma.f64 2 y x))
(+.f64 (*.f64 2 y) (+.f64 (/.f64 (pow.f64 y 2) x) x))
(fma.f64 2 y (+.f64 x (/.f64 (*.f64 y y) x)))
(+.f64 (/.f64 y (/.f64 x y)) (fma.f64 2 y x))
(+.f64 (*.f64 (/.f64 y x) y) (fma.f64 2 y x))
x
(+.f64 (*.f64 2 y) x)
(fma.f64 2 y x)
(+.f64 (*.f64 2 y) (+.f64 (/.f64 (pow.f64 y 2) x) x))
(fma.f64 2 y (+.f64 x (/.f64 (*.f64 y y) x)))
(+.f64 (/.f64 y (/.f64 x y)) (fma.f64 2 y x))
(+.f64 (*.f64 (/.f64 y x) y) (fma.f64 2 y x))
(+.f64 (*.f64 2 y) (+.f64 (/.f64 (pow.f64 y 2) x) x))
(fma.f64 2 y (+.f64 x (/.f64 (*.f64 y y) x)))
(+.f64 (/.f64 y (/.f64 x y)) (fma.f64 2 y x))
(+.f64 (*.f64 (/.f64 y x) y) (fma.f64 2 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 (/.f64 y x) y)
(+.f64 (*.f64 2 y) (/.f64 (pow.f64 y 2) x))
(fma.f64 2 y (/.f64 (*.f64 y y) x))
(fma.f64 2 y (/.f64 y (/.f64 x y)))
(fma.f64 2 y (*.f64 (/.f64 y x) y))
(+.f64 (*.f64 2 y) (+.f64 (/.f64 (pow.f64 y 2) x) x))
(fma.f64 2 y (+.f64 x (/.f64 (*.f64 y y) x)))
(+.f64 (/.f64 y (/.f64 x y)) (fma.f64 2 y x))
(+.f64 (*.f64 (/.f64 y x) y) (fma.f64 2 y x))
(+.f64 (*.f64 2 y) (+.f64 (/.f64 (pow.f64 y 2) x) x))
(fma.f64 2 y (+.f64 x (/.f64 (*.f64 y y) x)))
(+.f64 (/.f64 y (/.f64 x y)) (fma.f64 2 y x))
(+.f64 (*.f64 (/.f64 y x) y) (fma.f64 2 y x))
(/.f64 (pow.f64 y 2) x)
(/.f64 (*.f64 y y) x)
(/.f64 y (/.f64 x y))
(*.f64 (/.f64 y x) y)
(+.f64 (*.f64 2 y) (/.f64 (pow.f64 y 2) x))
(fma.f64 2 y (/.f64 (*.f64 y y) x))
(fma.f64 2 y (/.f64 y (/.f64 x y)))
(fma.f64 2 y (*.f64 (/.f64 y x) y))
(+.f64 (*.f64 2 y) (+.f64 (/.f64 (pow.f64 y 2) x) x))
(fma.f64 2 y (+.f64 x (/.f64 (*.f64 y y) x)))
(+.f64 (/.f64 y (/.f64 x y)) (fma.f64 2 y x))
(+.f64 (*.f64 (/.f64 y x) y) (fma.f64 2 y x))
(+.f64 (*.f64 2 y) (+.f64 (/.f64 (pow.f64 y 2) x) x))
(fma.f64 2 y (+.f64 x (/.f64 (*.f64 y y) x)))
(+.f64 (/.f64 y (/.f64 x y)) (fma.f64 2 y x))
(+.f64 (*.f64 (/.f64 y x) y) (fma.f64 2 y x))
(/.f64 y x)
(+.f64 1 (/.f64 y x))
(+.f64 1 (/.f64 y x))
(+.f64 1 (/.f64 y x))
1
(+.f64 (/.f64 y x) 1)
(+.f64 1 (/.f64 y x))
(+.f64 (/.f64 y x) 1)
(+.f64 1 (/.f64 y x))
(+.f64 (/.f64 y x) 1)
(+.f64 1 (/.f64 y x))
1
(+.f64 (/.f64 y x) 1)
(+.f64 1 (/.f64 y x))
(+.f64 (/.f64 y x) 1)
(+.f64 1 (/.f64 y x))
(+.f64 (/.f64 y x) 1)
(+.f64 1 (/.f64 y x))
1
(+.f64 (/.f64 y x) 1)
(+.f64 1 (/.f64 y x))
(+.f64 (/.f64 y x) 1)
(+.f64 1 (/.f64 y x))
(+.f64 (/.f64 y x) 1)
(+.f64 1 (/.f64 y x))
(/.f64 y x)
(+.f64 1 (/.f64 y x))
(+.f64 1 (/.f64 y x))
(+.f64 1 (/.f64 y x))
(/.f64 y x)
(+.f64 1 (/.f64 y x))
(+.f64 1 (/.f64 y x))
(+.f64 1 (/.f64 y x))

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 24 to 6 computations (75% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite68.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

511×	`log-prod_binary64`
498×	`fma-def_binary64`
382×	`pow-prod-down_binary64`
262×	`pow2_binary64`
244×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	175	13
2	3043	13

Stop Event

1×	node limit

Counts

1 → 146

Calls

Call 1

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

Outputs

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

simplify54.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

774×	`fma-def_binary64`
648×	`fma-neg_binary64`
585×	`associate-/l*_binary64`
429×	`associate-/r*_binary64`
387×	`div-sub_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	43	423
1	137	396
2	390	333
3	1496	309
4	7846	309

Stop Event

1×	node limit

Counts

170 → 163

Calls

Call 1

Inputs
-1
(-.f64 (*.f64 2 (/.f64 x y)) 1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (.f64 2 (/.f64 x y))) 1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (.f64 2 (/.f64 x y)) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) 1)
(/.f64 x y)
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 y x)))
(+.f64 (/.f64 x y) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (*.f64 -1 (/.f64 y x))))
(+.f64 (/.f64 x y) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (.f64 -1 (/.f64 y x)))))
(/.f64 x y)
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 y x)))
(+.f64 (/.f64 x y) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (*.f64 -1 (/.f64 y x))))
(+.f64 (/.f64 x y) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (.f64 -1 (/.f64 y x)))))
(/.f64 x y)
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 y x)))
(+.f64 (/.f64 x y) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (*.f64 -1 (/.f64 y x))))
(+.f64 (/.f64 x y) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (.f64 -1 (/.f64 y x)))))
-1
(-.f64 (*.f64 2 (/.f64 x y)) 1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (.f64 2 (/.f64 x y))) 1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (.f64 2 (/.f64 x y)) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) 1)
-1
(-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 x) x) y)) 1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 x) x) y)) (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) 1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 x) x) y)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) 1)

Outputs
-1
(-.f64 (*.f64 2 (/.f64 x y)) 1)
(fma.f64 2 (/.f64 x y) -1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (.f64 2 (/.f64 x y))) 1)
(+.f64 (neg.f64 (/.f64 (.f64 x x) (.f64 y y))) (fma.f64 2 (/.f64 x y) -1))
(fma.f64 -1 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 2 (/.f64 x y) -1))
(+.f64 -1 (*.f64 (/.f64 x y) (-.f64 2 (/.f64 x y))))
(fma.f64 (/.f64 x y) (-.f64 2 (/.f64 x y)) -1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (.f64 2 (/.f64 x y)) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) 1)
(+.f64 (fma.f64 -1 (/.f64 (.f64 x x) (.f64 y y)) (fma.f64 2 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) -1)
(+.f64 -1 (-.f64 (fma.f64 2 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 (/.f64 x y) (/.f64 x y))))
(+.f64 -1 (+.f64 (*.f64 (/.f64 x y) (-.f64 2 (/.f64 x y))) (pow.f64 (/.f64 x y) 3)))
(+.f64 (pow.f64 (/.f64 x y) 3) (fma.f64 (/.f64 x y) (-.f64 2 (/.f64 x y)) -1))
(/.f64 x y)
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 y x)))
(+.f64 (/.f64 x y) (neg.f64 (/.f64 y x)))
(-.f64 (/.f64 x y) (/.f64 y x))
(+.f64 (/.f64 x y) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (*.f64 -1 (/.f64 y x))))
(+.f64 (/.f64 x y) (+.f64 (neg.f64 (/.f64 y x)) (/.f64 (.f64 y y) (.f64 x x))))
(+.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (-.f64 (/.f64 x y) (/.f64 y x)))
(+.f64 (/.f64 x y) (*.f64 (/.f64 y x) (+.f64 -1 (/.f64 y x))))
(fma.f64 (/.f64 y x) (+.f64 -1 (/.f64 y x)) (/.f64 x y))
(+.f64 (/.f64 x y) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (.f64 -1 (/.f64 y x)))))
(+.f64 (+.f64 (/.f64 x y) (/.f64 (.f64 y y) (.f64 x x))) (fma.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (neg.f64 (/.f64 y x))))
(+.f64 (-.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (-.f64 (/.f64 x y) (/.f64 y x)))
(+.f64 (/.f64 x y) (-.f64 (*.f64 (/.f64 y x) (+.f64 -1 (/.f64 y x))) (pow.f64 (/.f64 y x) 3)))
(-.f64 (fma.f64 (/.f64 y x) (+.f64 -1 (/.f64 y x)) (/.f64 x y)) (pow.f64 (/.f64 y x) 3))
(/.f64 x y)
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 y x)))
(+.f64 (/.f64 x y) (neg.f64 (/.f64 y x)))
(-.f64 (/.f64 x y) (/.f64 y x))
(+.f64 (/.f64 x y) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (*.f64 -1 (/.f64 y x))))
(+.f64 (/.f64 x y) (+.f64 (neg.f64 (/.f64 y x)) (/.f64 (.f64 y y) (.f64 x x))))
(+.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (-.f64 (/.f64 x y) (/.f64 y x)))
(+.f64 (/.f64 x y) (*.f64 (/.f64 y x) (+.f64 -1 (/.f64 y x))))
(fma.f64 (/.f64 y x) (+.f64 -1 (/.f64 y x)) (/.f64 x y))
(+.f64 (/.f64 x y) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (.f64 -1 (/.f64 y x)))))
(+.f64 (+.f64 (/.f64 x y) (/.f64 (.f64 y y) (.f64 x x))) (fma.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (neg.f64 (/.f64 y x))))
(+.f64 (-.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (-.f64 (/.f64 x y) (/.f64 y x)))
(+.f64 (/.f64 x y) (-.f64 (*.f64 (/.f64 y x) (+.f64 -1 (/.f64 y x))) (pow.f64 (/.f64 y x) 3)))
(-.f64 (fma.f64 (/.f64 y x) (+.f64 -1 (/.f64 y x)) (/.f64 x y)) (pow.f64 (/.f64 y x) 3))
(/.f64 x y)
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 y x)))
(+.f64 (/.f64 x y) (neg.f64 (/.f64 y x)))
(-.f64 (/.f64 x y) (/.f64 y x))
(+.f64 (/.f64 x y) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (*.f64 -1 (/.f64 y x))))
(+.f64 (/.f64 x y) (+.f64 (neg.f64 (/.f64 y x)) (/.f64 (.f64 y y) (.f64 x x))))
(+.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (-.f64 (/.f64 x y) (/.f64 y x)))
(+.f64 (/.f64 x y) (*.f64 (/.f64 y x) (+.f64 -1 (/.f64 y x))))
(fma.f64 (/.f64 y x) (+.f64 -1 (/.f64 y x)) (/.f64 x y))
(+.f64 (/.f64 x y) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (.f64 -1 (/.f64 y x)))))
(+.f64 (+.f64 (/.f64 x y) (/.f64 (.f64 y y) (.f64 x x))) (fma.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (neg.f64 (/.f64 y x))))
(+.f64 (-.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (-.f64 (/.f64 x y) (/.f64 y x)))
(+.f64 (/.f64 x y) (-.f64 (*.f64 (/.f64 y x) (+.f64 -1 (/.f64 y x))) (pow.f64 (/.f64 y x) 3)))
(-.f64 (fma.f64 (/.f64 y x) (+.f64 -1 (/.f64 y x)) (/.f64 x y)) (pow.f64 (/.f64 y x) 3))
-1
(-.f64 (*.f64 2 (/.f64 x y)) 1)
(fma.f64 2 (/.f64 x y) -1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (.f64 2 (/.f64 x y))) 1)
(+.f64 (neg.f64 (/.f64 (.f64 x x) (.f64 y y))) (fma.f64 2 (/.f64 x y) -1))
(fma.f64 -1 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 2 (/.f64 x y) -1))
(+.f64 -1 (*.f64 (/.f64 x y) (-.f64 2 (/.f64 x y))))
(fma.f64 (/.f64 x y) (-.f64 2 (/.f64 x y)) -1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (.f64 2 (/.f64 x y)) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) 1)
(+.f64 (fma.f64 -1 (/.f64 (.f64 x x) (.f64 y y)) (fma.f64 2 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) -1)
(+.f64 -1 (-.f64 (fma.f64 2 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 (/.f64 x y) (/.f64 x y))))
(+.f64 -1 (+.f64 (*.f64 (/.f64 x y) (-.f64 2 (/.f64 x y))) (pow.f64 (/.f64 x y) 3)))
(+.f64 (pow.f64 (/.f64 x y) 3) (fma.f64 (/.f64 x y) (-.f64 2 (/.f64 x y)) -1))
-1
(-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 x) x) y)) 1)
(fma.f64 2 (/.f64 x y) -1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 x) x) y)) (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) 1)
(+.f64 (neg.f64 (/.f64 (.f64 x x) (.f64 y y))) (fma.f64 2 (/.f64 x y) -1))
(fma.f64 -1 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 2 (/.f64 x y) -1))
(+.f64 -1 (*.f64 (/.f64 x y) (-.f64 2 (/.f64 x y))))
(fma.f64 (/.f64 x y) (-.f64 2 (/.f64 x y)) -1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 x) x) y)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) 1)
(+.f64 (fma.f64 -1 (/.f64 (.f64 x x) (.f64 y y)) (fma.f64 2 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) -1)
(+.f64 -1 (-.f64 (fma.f64 2 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 (/.f64 x y) (/.f64 x y))))
(+.f64 -1 (+.f64 (*.f64 (/.f64 x y) (-.f64 2 (/.f64 x y))) (pow.f64 (/.f64 x y) 3)))
(+.f64 (pow.f64 (/.f64 x y) 3) (fma.f64 (/.f64 x y) (-.f64 2 (/.f64 x y)) -1))

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(/.f64 1 (/.f64 (+.f64 x y) (-.f64 x y)))
	0.0b	(/.f64 (+.f64 x y) (-.f64 x y))
✓	0.0b	(/.f64 (+.f64 x y) (-.f64 x y))
✓	0.0b	(/.f64 1 (/.f64 (+.f64 x y) (-.f64 x y)))

Compiler

Compiled 27 to 8 computations (70.4% saved)

series5.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite65.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

552×	`prod-diff_binary64`
456×	`log-prod_binary64`
303×	`pow-prod-down_binary64`
238×	`pow2_binary64`
235×	`fma-def_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	23
1	181	20
2	2652	20

Stop Event

1×	node limit

Counts

2 → 112

Calls

Call 1

Inputs
(/.f64 1 (/.f64 (+.f64 x y) (-.f64 x y)))
(/.f64 (+.f64 x y) (-.f64 x y))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 x y) (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (/.f64 1 (+.f64 x y))) (*.f64 (neg.f64 y) (/.f64 1 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (+.f64 x y)) x) (*.f64 (/.f64 1 (+.f64 x y)) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 x y) (+.f64 x y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 x y) (+.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 x y) (+.f64 x y))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 x y) (+.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 x y)))) 1)))) (#(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 1 (/.f64 (-.f64 x y) (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x y) (/.f64 1 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 x y) (+.f64 x y))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) (+.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) (+.f64 x y))) 2) (cbrt.f64 (/.f64 (-.f64 x y) (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 x y) (+.f64 x y))) (sqrt.f64 (/.f64 (-.f64 x y) (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (/.f64 (+.f64 x y) (-.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x y)) (-.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) -2) (cbrt.f64 (/.f64 (-.f64 x y) (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) 1) (/.f64 (cbrt.f64 (-.f64 x y)) (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 x y)) 1) (/.f64 (sqrt.f64 (-.f64 x y)) (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) -2) (/.f64 (-.f64 x y) (cbrt.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (pow.f64 (cbrt.f64 (+.f64 x y)) 2)) (/.f64 (cbrt.f64 (-.f64 x y)) (cbrt.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 x y)) (pow.f64 (cbrt.f64 (+.f64 x y)) 2)) (/.f64 (sqrt.f64 (-.f64 x y)) (cbrt.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x y) -1/2) (/.f64 (-.f64 x y) (sqrt.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (sqrt.f64 (+.f64 x y))) (/.f64 (cbrt.f64 (-.f64 x y)) (sqrt.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (+.f64 x y))) (/.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 x y) (*.f64 (+.f64 x y) (-.f64 x y))) (-.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 (+.f64 x y))) (neg.f64 (-.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 y (-.f64 y x) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (+.f64 x y)) 1) (-.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (+.f64 x y)) (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (cbrt.f64 (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (+.f64 x y)) (sqrt.f64 (-.f64 x y))) (sqrt.f64 (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) (+.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 x y) (+.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (-.f64 x y) 3) (pow.f64 (+.f64 x y) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (neg.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (+.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 x y) (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 x y) (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 x y) 3) (pow.f64 (+.f64 x y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 x y) (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x y) (-.f64 x y))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 x y) (+.f64 x y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) -3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (-.f64 x y) (+.f64 x y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (-.f64 x y) (+.f64 x y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (+.f64 x y) (-.f64 x y))) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (-.f64 x y) (+.f64 x y))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (/.f64 1 (+.f64 x y)) (*.f64 (neg.f64 y) (/.f64 1 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (+.f64 x y)) x (*.f64 (/.f64 1 (+.f64 x y)) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 x y) (+.f64 x y))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 x y) (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 x y) (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x y) (/.f64 1 (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (*.f64 (cbrt.f64 (+.f64 x y)) (/.f64 1 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 2) (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x y)) (*.f64 (sqrt.f64 (+.f64 x y)) (/.f64 1 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) (sqrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (+.f64 x y)) (/.f64 1 (neg.f64 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 x y)) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) 1) (/.f64 (cbrt.f64 (+.f64 x y)) (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x y)) 1) (/.f64 (sqrt.f64 (+.f64 x y)) (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) -2) (/.f64 (+.f64 x y) (cbrt.f64 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (/.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 x y) -1/2) (/.f64 (+.f64 x y) (sqrt.f64 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (sqrt.f64 (-.f64 x y))) (/.f64 (cbrt.f64 (+.f64 x y)) (sqrt.f64 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x y) (*.f64 (+.f64 x y) (-.f64 x 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 pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) -3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) (+.f64 x y))) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 x y) (+.f64 x y))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (-.f64 x y) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 x y) (neg.f64 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (-.f64 x y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 x y) (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 x y) (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 x y) (+.f64 x y))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (+.f64 x y) (-.f64 x y))) -1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (-.f64 x y) (+.f64 x y))) 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y))))))))

simplify77.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

668×	`div-sub_binary64`
616×	`sub-neg_binary64`
469×	`associate-/l*_binary64`
437×	`unsub-neg_binary64`
431×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	119	1005
1	419	885
2	1525	660
3	6113	660

Stop Event

1×	node limit

Counts

160 → 156

Calls

Call 1

Inputs
-1
(-.f64 (*.f64 2 (/.f64 x y)) 1)
(-.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (.f64 2 (/.f64 x y))) 1)
(-.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (.f64 2 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 2 (/.f64 x y)))) 1)
1
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 y x))) (/.f64 y x))
(-.f64 (+.f64 1 (+.f64 (.f64 -1 (/.f64 (.f64 y (-.f64 (.f64 -1 y) y)) (pow.f64 x 2))) (.f64 -1 (/.f64 y x)))) (/.f64 y x))
(-.f64 (+.f64 (/.f64 (.f64 (pow.f64 y 2) (-.f64 (.f64 -1 y) y)) (pow.f64 x 3)) (+.f64 1 (+.f64 (.f64 -1 (/.f64 (.f64 y (-.f64 (.f64 -1 y) y)) (pow.f64 x 2))) (.f64 -1 (/.f64 y x))))) (/.f64 y x))
1
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 y x))) (/.f64 y x))
(-.f64 (+.f64 1 (+.f64 (.f64 -1 (/.f64 (.f64 y (-.f64 (.f64 -1 y) y)) (pow.f64 x 2))) (.f64 -1 (/.f64 y x)))) (/.f64 y x))
(-.f64 (+.f64 (/.f64 (.f64 (pow.f64 y 2) (-.f64 (.f64 -1 y) y)) (pow.f64 x 3)) (+.f64 1 (+.f64 (.f64 -1 (/.f64 (.f64 y (-.f64 (.f64 -1 y) y)) (pow.f64 x 2))) (.f64 -1 (/.f64 y x))))) (/.f64 y x))
1
(+.f64 1 (*.f64 -2 (/.f64 y x)))
(+.f64 1 (+.f64 (.f64 -2 (/.f64 y x)) (.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))
(+.f64 (.f64 -2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 1 (+.f64 (.f64 -2 (/.f64 y x)) (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))))
-1
(-.f64 (/.f64 x y) (+.f64 1 (*.f64 -1 (/.f64 x y))))
(-.f64 (+.f64 (/.f64 x y) (.f64 -1 (/.f64 (.f64 (-.f64 x (.f64 -1 x)) x) (pow.f64 y 2)))) (+.f64 1 (.f64 -1 (/.f64 x y))))
(-.f64 (+.f64 (/.f64 (.f64 (-.f64 x (.f64 -1 x)) (pow.f64 x 2)) (pow.f64 y 3)) (+.f64 (/.f64 x y) (.f64 -1 (/.f64 (.f64 (-.f64 x (.f64 -1 x)) x) (pow.f64 y 2))))) (+.f64 1 (.f64 -1 (/.f64 x y))))
-1
(-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 x) x) y)) 1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 x) x) y)) (/.f64 (.f64 (-.f64 (.f64 -1 x) x) x) (pow.f64 y 2))) 1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 x) x) y)) (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 -1 x) x) (pow.f64 x 2)) (pow.f64 y 3))) (/.f64 (.f64 (-.f64 (*.f64 -1 x) x) x) (pow.f64 y 2)))) 1)
-1
(-.f64 (*.f64 -2 (/.f64 x y)) 1)
(-.f64 (+.f64 (.f64 -2 (/.f64 x y)) (.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) 1)
(-.f64 (+.f64 (.f64 -2 (/.f64 x y)) (+.f64 (.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))) 1)
1
(-.f64 (+.f64 (/.f64 y x) 1) (*.f64 -1 (/.f64 y x)))
(-.f64 (+.f64 (/.f64 y x) (+.f64 1 (/.f64 (.f64 y (-.f64 y (.f64 -1 y))) (pow.f64 x 2)))) (*.f64 -1 (/.f64 y x)))
(-.f64 (+.f64 (/.f64 y x) (+.f64 (/.f64 (.f64 (pow.f64 y 2) (-.f64 y (.f64 -1 y))) (pow.f64 x 3)) (+.f64 1 (/.f64 (.f64 y (-.f64 y (.f64 -1 y))) (pow.f64 x 2))))) (*.f64 -1 (/.f64 y x)))
1
(-.f64 (+.f64 (/.f64 y x) 1) (*.f64 -1 (/.f64 y x)))
(-.f64 (+.f64 (/.f64 y x) (+.f64 1 (/.f64 (.f64 y (-.f64 y (.f64 -1 y))) (pow.f64 x 2)))) (*.f64 -1 (/.f64 y x)))
(-.f64 (+.f64 (/.f64 y x) (+.f64 (/.f64 (.f64 (pow.f64 y 2) (-.f64 y (.f64 -1 y))) (pow.f64 x 3)) (+.f64 1 (/.f64 (.f64 y (-.f64 y (.f64 -1 y))) (pow.f64 x 2))))) (*.f64 -1 (/.f64 y x)))
1
(+.f64 1 (*.f64 2 (/.f64 y x)))
(+.f64 1 (+.f64 (.f64 2 (/.f64 y x)) (.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))
(+.f64 1 (+.f64 (.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 (.f64 2 (/.f64 y x)) (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))))
-1
(-.f64 (*.f64 -1 (/.f64 x y)) (+.f64 1 (/.f64 x y)))
(-.f64 (+.f64 (/.f64 (.f64 (-.f64 (.f64 -1 x) x) x) (pow.f64 y 2)) (*.f64 -1 (/.f64 x y))) (+.f64 1 (/.f64 x y)))
(-.f64 (+.f64 (/.f64 (.f64 (-.f64 (.f64 -1 x) x) (pow.f64 x 2)) (pow.f64 y 3)) (+.f64 (/.f64 (.f64 (-.f64 (.f64 -1 x) x) x) (pow.f64 y 2)) (*.f64 -1 (/.f64 x y)))) (+.f64 1 (/.f64 x y)))
-1
(-.f64 (.f64 -1 (/.f64 (-.f64 x (.f64 -1 x)) y)) 1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 x (.f64 -1 x)) x) (pow.f64 y 2))) (.f64 -1 (/.f64 (-.f64 x (*.f64 -1 x)) y))) 1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 x (.f64 -1 x)) (pow.f64 x 2)) (pow.f64 y 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 x (.f64 -1 x)) x) (pow.f64 y 2))) (.f64 -1 (/.f64 (-.f64 x (.f64 -1 x)) y)))) 1)

Outputs
-1
(-.f64 (*.f64 2 (/.f64 x y)) 1)
(fma.f64 2 (/.f64 x y) -1)
(-.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (.f64 2 (/.f64 x y))) 1)
(+.f64 (/.f64 (.f64 -2 (.f64 x x)) (*.f64 y y)) (fma.f64 2 (/.f64 x y) -1))
(fma.f64 -2 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 2 (/.f64 x y) -1))
(+.f64 -1 (.f64 (/.f64 x y) (-.f64 (.f64 (/.f64 x y) -2) -2)))
(+.f64 -1 (.f64 (.f64 (/.f64 x y) -2) (+.f64 -1 (/.f64 x y))))
(-.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (.f64 2 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 2 (/.f64 x y)))) 1)
(+.f64 (fma.f64 -2 (/.f64 (.f64 x x) (.f64 y y)) (*.f64 2 (+.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 x y)))) -1)
(fma.f64 -2 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 2 (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) -1))
(+.f64 (fma.f64 2 (pow.f64 (/.f64 x y) 3) -1) (.f64 (/.f64 x y) (-.f64 (.f64 (/.f64 x y) -2) -2)))
(+.f64 (fma.f64 2 (pow.f64 (/.f64 x y) 3) -1) (.f64 (.f64 (/.f64 x y) -2) (+.f64 -1 (/.f64 x y))))
1
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 y x))) (/.f64 y x))
(+.f64 1 (-.f64 (/.f64 (neg.f64 y) x) (/.f64 y x)))
(-.f64 (-.f64 1 (/.f64 y x)) (/.f64 y x))
(fma.f64 -2 (/.f64 y x) 1)
(-.f64 (+.f64 1 (+.f64 (.f64 -1 (/.f64 (.f64 y (-.f64 (.f64 -1 y) y)) (pow.f64 x 2))) (.f64 -1 (/.f64 y x)))) (/.f64 y x))
(+.f64 1 (-.f64 (fma.f64 -1 (/.f64 y (/.f64 (*.f64 x x) (-.f64 (neg.f64 y) y))) (/.f64 (neg.f64 y) x)) (/.f64 y x)))
(-.f64 (-.f64 (-.f64 1 (.f64 (/.f64 y x) (.f64 -2 (/.f64 y x)))) (/.f64 y x)) (/.f64 y x))
(+.f64 1 (.f64 (/.f64 y x) (+.f64 -2 (.f64 (/.f64 2 x) y))))
(+.f64 1 (.f64 (/.f64 y x) (+.f64 (.f64 (/.f64 2 x) y) -2)))
(-.f64 (+.f64 (/.f64 (.f64 (pow.f64 y 2) (-.f64 (.f64 -1 y) y)) (pow.f64 x 3)) (+.f64 1 (+.f64 (.f64 -1 (/.f64 (.f64 y (-.f64 (.f64 -1 y) y)) (pow.f64 x 2))) (.f64 -1 (/.f64 y x))))) (/.f64 y x))
(+.f64 (/.f64 (.f64 (.f64 y y) (-.f64 (neg.f64 y) y)) (pow.f64 x 3)) (+.f64 1 (-.f64 (fma.f64 -1 (/.f64 y (/.f64 (*.f64 x x) (-.f64 (neg.f64 y) y))) (/.f64 (neg.f64 y) x)) (/.f64 y x))))
(+.f64 (-.f64 (-.f64 1 (.f64 (/.f64 y x) (.f64 -2 (/.f64 y x)))) (/.f64 y x)) (-.f64 (*.f64 -2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (/.f64 y x)))
(+.f64 (.f64 (/.f64 y x) (+.f64 -2 (.f64 (/.f64 2 x) y))) (fma.f64 -2 (pow.f64 (/.f64 y x) 3) 1))
(+.f64 (.f64 (/.f64 y x) (+.f64 (.f64 (/.f64 2 x) y) -2)) (fma.f64 -2 (pow.f64 (/.f64 y x) 3) 1))
1
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 y x))) (/.f64 y x))
(+.f64 1 (-.f64 (/.f64 (neg.f64 y) x) (/.f64 y x)))
(-.f64 (-.f64 1 (/.f64 y x)) (/.f64 y x))
(fma.f64 -2 (/.f64 y x) 1)
(-.f64 (+.f64 1 (+.f64 (.f64 -1 (/.f64 (.f64 y (-.f64 (.f64 -1 y) y)) (pow.f64 x 2))) (.f64 -1 (/.f64 y x)))) (/.f64 y x))
(+.f64 1 (-.f64 (fma.f64 -1 (/.f64 y (/.f64 (*.f64 x x) (-.f64 (neg.f64 y) y))) (/.f64 (neg.f64 y) x)) (/.f64 y x)))
(-.f64 (-.f64 (-.f64 1 (.f64 (/.f64 y x) (.f64 -2 (/.f64 y x)))) (/.f64 y x)) (/.f64 y x))
(+.f64 1 (.f64 (/.f64 y x) (+.f64 -2 (.f64 (/.f64 2 x) y))))
(+.f64 1 (.f64 (/.f64 y x) (+.f64 (.f64 (/.f64 2 x) y) -2)))
(-.f64 (+.f64 (/.f64 (.f64 (pow.f64 y 2) (-.f64 (.f64 -1 y) y)) (pow.f64 x 3)) (+.f64 1 (+.f64 (.f64 -1 (/.f64 (.f64 y (-.f64 (.f64 -1 y) y)) (pow.f64 x 2))) (.f64 -1 (/.f64 y x))))) (/.f64 y x))
(+.f64 (/.f64 (.f64 (.f64 y y) (-.f64 (neg.f64 y) y)) (pow.f64 x 3)) (+.f64 1 (-.f64 (fma.f64 -1 (/.f64 y (/.f64 (*.f64 x x) (-.f64 (neg.f64 y) y))) (/.f64 (neg.f64 y) x)) (/.f64 y x))))
(+.f64 (-.f64 (-.f64 1 (.f64 (/.f64 y x) (.f64 -2 (/.f64 y x)))) (/.f64 y x)) (-.f64 (*.f64 -2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (/.f64 y x)))
(+.f64 (.f64 (/.f64 y x) (+.f64 -2 (.f64 (/.f64 2 x) y))) (fma.f64 -2 (pow.f64 (/.f64 y x) 3) 1))
(+.f64 (.f64 (/.f64 y x) (+.f64 (.f64 (/.f64 2 x) y) -2)) (fma.f64 -2 (pow.f64 (/.f64 y x) 3) 1))
1
(+.f64 1 (*.f64 -2 (/.f64 y x)))
(+.f64 1 (-.f64 (/.f64 (neg.f64 y) x) (/.f64 y x)))
(-.f64 (-.f64 1 (/.f64 y x)) (/.f64 y x))
(fma.f64 -2 (/.f64 y x) 1)
(+.f64 1 (+.f64 (.f64 -2 (/.f64 y x)) (.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))
(+.f64 1 (-.f64 (fma.f64 -1 (/.f64 y (/.f64 (*.f64 x x) (-.f64 (neg.f64 y) y))) (/.f64 (neg.f64 y) x)) (/.f64 y x)))
(-.f64 (-.f64 (-.f64 1 (.f64 (/.f64 y x) (.f64 -2 (/.f64 y x)))) (/.f64 y x)) (/.f64 y x))
(+.f64 1 (.f64 (/.f64 y x) (+.f64 -2 (.f64 (/.f64 2 x) y))))
(+.f64 1 (.f64 (/.f64 y x) (+.f64 (.f64 (/.f64 2 x) y) -2)))
(+.f64 (.f64 -2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 1 (+.f64 (.f64 -2 (/.f64 y x)) (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))))
(+.f64 (/.f64 (.f64 (.f64 y y) (-.f64 (neg.f64 y) y)) (pow.f64 x 3)) (+.f64 1 (-.f64 (fma.f64 -1 (/.f64 y (/.f64 (*.f64 x x) (-.f64 (neg.f64 y) y))) (/.f64 (neg.f64 y) x)) (/.f64 y x))))
(+.f64 (-.f64 (-.f64 1 (.f64 (/.f64 y x) (.f64 -2 (/.f64 y x)))) (/.f64 y x)) (-.f64 (*.f64 -2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (/.f64 y x)))
(+.f64 (.f64 (/.f64 y x) (+.f64 -2 (.f64 (/.f64 2 x) y))) (fma.f64 -2 (pow.f64 (/.f64 y x) 3) 1))
(+.f64 (.f64 (/.f64 y x) (+.f64 (.f64 (/.f64 2 x) y) -2)) (fma.f64 -2 (pow.f64 (/.f64 y x) 3) 1))
-1
(-.f64 (/.f64 x y) (+.f64 1 (*.f64 -1 (/.f64 x y))))
(fma.f64 2 (/.f64 x y) -1)
(-.f64 (+.f64 (/.f64 x y) (.f64 -1 (/.f64 (.f64 (-.f64 x (.f64 -1 x)) x) (pow.f64 y 2)))) (+.f64 1 (.f64 -1 (/.f64 x y))))
(+.f64 (/.f64 (.f64 -2 (.f64 x x)) (*.f64 y y)) (fma.f64 2 (/.f64 x y) -1))
(fma.f64 -2 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 2 (/.f64 x y) -1))
(+.f64 -1 (.f64 (/.f64 x y) (-.f64 (.f64 (/.f64 x y) -2) -2)))
(+.f64 -1 (.f64 (.f64 (/.f64 x y) -2) (+.f64 -1 (/.f64 x y))))
(-.f64 (+.f64 (/.f64 (.f64 (-.f64 x (.f64 -1 x)) (pow.f64 x 2)) (pow.f64 y 3)) (+.f64 (/.f64 x y) (.f64 -1 (/.f64 (.f64 (-.f64 x (.f64 -1 x)) x) (pow.f64 y 2))))) (+.f64 1 (.f64 -1 (/.f64 x y))))
(+.f64 (fma.f64 -2 (/.f64 (.f64 x x) (.f64 y y)) (*.f64 2 (+.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 x y)))) -1)
(fma.f64 -2 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 2 (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) -1))
(+.f64 (fma.f64 2 (pow.f64 (/.f64 x y) 3) -1) (.f64 (/.f64 x y) (-.f64 (.f64 (/.f64 x y) -2) -2)))
(+.f64 (fma.f64 2 (pow.f64 (/.f64 x y) 3) -1) (.f64 (.f64 (/.f64 x y) -2) (+.f64 -1 (/.f64 x y))))
-1
(-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 x) x) y)) 1)
(fma.f64 2 (/.f64 x y) -1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 x) x) y)) (/.f64 (.f64 (-.f64 (.f64 -1 x) x) x) (pow.f64 y 2))) 1)
(+.f64 (/.f64 (.f64 -2 (.f64 x x)) (*.f64 y y)) (fma.f64 2 (/.f64 x y) -1))
(fma.f64 -2 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 2 (/.f64 x y) -1))
(+.f64 -1 (.f64 (/.f64 x y) (-.f64 (.f64 (/.f64 x y) -2) -2)))
(+.f64 -1 (.f64 (.f64 (/.f64 x y) -2) (+.f64 -1 (/.f64 x y))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 x) x) y)) (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 -1 x) x) (pow.f64 x 2)) (pow.f64 y 3))) (/.f64 (.f64 (-.f64 (*.f64 -1 x) x) x) (pow.f64 y 2)))) 1)
(+.f64 (fma.f64 -2 (/.f64 (.f64 x x) (.f64 y y)) (*.f64 2 (+.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 x y)))) -1)
(fma.f64 -2 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 2 (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) -1))
(+.f64 (fma.f64 2 (pow.f64 (/.f64 x y) 3) -1) (.f64 (/.f64 x y) (-.f64 (.f64 (/.f64 x y) -2) -2)))
(+.f64 (fma.f64 2 (pow.f64 (/.f64 x y) 3) -1) (.f64 (.f64 (/.f64 x y) -2) (+.f64 -1 (/.f64 x y))))
-1
(-.f64 (*.f64 -2 (/.f64 x y)) 1)
(fma.f64 -2 (/.f64 x y) -1)
(fma.f64 (/.f64 x y) -2 -1)
(-.f64 (+.f64 (.f64 -2 (/.f64 x y)) (.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) 1)
(+.f64 (.f64 -2 (+.f64 (/.f64 x y) (/.f64 (.f64 x x) (*.f64 y y)))) -1)
(fma.f64 -2 (+.f64 (/.f64 x y) (*.f64 (/.f64 x y) (/.f64 x y))) -1)
(fma.f64 -2 (*.f64 (+.f64 (/.f64 x y) 1) (/.f64 x y)) -1)
(-.f64 (+.f64 (.f64 -2 (/.f64 x y)) (+.f64 (.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))) 1)
(+.f64 (fma.f64 -2 (/.f64 x y) (.f64 -2 (+.f64 (/.f64 (.f64 x x) (*.f64 y y)) (/.f64 (pow.f64 x 3) (pow.f64 y 3))))) -1)
(fma.f64 (/.f64 x y) -2 (fma.f64 -2 (+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) -1))
(fma.f64 -2 (+.f64 (pow.f64 (/.f64 x y) 3) (*.f64 (+.f64 (/.f64 x y) 1) (/.f64 x y))) -1)
1
(-.f64 (+.f64 (/.f64 y x) 1) (*.f64 -1 (/.f64 y x)))
(+.f64 (/.f64 y x) (-.f64 1 (/.f64 (neg.f64 y) x)))
(+.f64 1 (+.f64 (/.f64 y x) (/.f64 y x)))
(fma.f64 2 (/.f64 y x) 1)
(-.f64 (+.f64 (/.f64 y x) (+.f64 1 (/.f64 (.f64 y (-.f64 y (.f64 -1 y))) (pow.f64 x 2)))) (*.f64 -1 (/.f64 y x)))
(-.f64 (+.f64 (+.f64 1 (/.f64 y x)) (/.f64 y (/.f64 (*.f64 x x) (-.f64 y (neg.f64 y))))) (/.f64 (neg.f64 y) x))
(+.f64 (/.f64 y x) (+.f64 1 (+.f64 (/.f64 y x) (.f64 2 (.f64 (/.f64 y x) (/.f64 y x))))))
(fma.f64 2 (*.f64 (/.f64 y x) (+.f64 1 (/.f64 y x))) 1)
(-.f64 (+.f64 (/.f64 y x) (+.f64 (/.f64 (.f64 (pow.f64 y 2) (-.f64 y (.f64 -1 y))) (pow.f64 x 3)) (+.f64 1 (/.f64 (.f64 y (-.f64 y (.f64 -1 y))) (pow.f64 x 2))))) (*.f64 -1 (/.f64 y x)))
(-.f64 (+.f64 (+.f64 (/.f64 y x) (/.f64 (.f64 y y) (/.f64 (pow.f64 x 3) (-.f64 y (neg.f64 y))))) (+.f64 1 (/.f64 y (/.f64 (.f64 x x) (-.f64 y (neg.f64 y)))))) (/.f64 (neg.f64 y) x))
(+.f64 (/.f64 y x) (+.f64 (/.f64 y x) (+.f64 (+.f64 1 (.f64 2 (.f64 (/.f64 y x) (/.f64 y x)))) (*.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))))))
(+.f64 1 (.f64 2 (+.f64 (pow.f64 (/.f64 y x) 3) (.f64 (/.f64 y x) (+.f64 1 (/.f64 y x))))))
1
(-.f64 (+.f64 (/.f64 y x) 1) (*.f64 -1 (/.f64 y x)))
(+.f64 (/.f64 y x) (-.f64 1 (/.f64 (neg.f64 y) x)))
(+.f64 1 (+.f64 (/.f64 y x) (/.f64 y x)))
(fma.f64 2 (/.f64 y x) 1)
(-.f64 (+.f64 (/.f64 y x) (+.f64 1 (/.f64 (.f64 y (-.f64 y (.f64 -1 y))) (pow.f64 x 2)))) (*.f64 -1 (/.f64 y x)))
(-.f64 (+.f64 (+.f64 1 (/.f64 y x)) (/.f64 y (/.f64 (*.f64 x x) (-.f64 y (neg.f64 y))))) (/.f64 (neg.f64 y) x))
(+.f64 (/.f64 y x) (+.f64 1 (+.f64 (/.f64 y x) (.f64 2 (.f64 (/.f64 y x) (/.f64 y x))))))
(fma.f64 2 (*.f64 (/.f64 y x) (+.f64 1 (/.f64 y x))) 1)
(-.f64 (+.f64 (/.f64 y x) (+.f64 (/.f64 (.f64 (pow.f64 y 2) (-.f64 y (.f64 -1 y))) (pow.f64 x 3)) (+.f64 1 (/.f64 (.f64 y (-.f64 y (.f64 -1 y))) (pow.f64 x 2))))) (*.f64 -1 (/.f64 y x)))
(-.f64 (+.f64 (+.f64 (/.f64 y x) (/.f64 (.f64 y y) (/.f64 (pow.f64 x 3) (-.f64 y (neg.f64 y))))) (+.f64 1 (/.f64 y (/.f64 (.f64 x x) (-.f64 y (neg.f64 y)))))) (/.f64 (neg.f64 y) x))
(+.f64 (/.f64 y x) (+.f64 (/.f64 y x) (+.f64 (+.f64 1 (.f64 2 (.f64 (/.f64 y x) (/.f64 y x)))) (*.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))))))
(+.f64 1 (.f64 2 (+.f64 (pow.f64 (/.f64 y x) 3) (.f64 (/.f64 y x) (+.f64 1 (/.f64 y x))))))
1
(+.f64 1 (*.f64 2 (/.f64 y x)))
(+.f64 (/.f64 y x) (-.f64 1 (/.f64 (neg.f64 y) x)))
(+.f64 1 (+.f64 (/.f64 y x) (/.f64 y x)))
(fma.f64 2 (/.f64 y x) 1)
(+.f64 1 (+.f64 (.f64 2 (/.f64 y x)) (.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))
(-.f64 (+.f64 (+.f64 1 (/.f64 y x)) (/.f64 y (/.f64 (*.f64 x x) (-.f64 y (neg.f64 y))))) (/.f64 (neg.f64 y) x))
(+.f64 (/.f64 y x) (+.f64 1 (+.f64 (/.f64 y x) (.f64 2 (.f64 (/.f64 y x) (/.f64 y x))))))
(fma.f64 2 (*.f64 (/.f64 y x) (+.f64 1 (/.f64 y x))) 1)
(+.f64 1 (+.f64 (.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 (.f64 2 (/.f64 y x)) (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))))
(-.f64 (+.f64 (+.f64 (/.f64 y x) (/.f64 (.f64 y y) (/.f64 (pow.f64 x 3) (-.f64 y (neg.f64 y))))) (+.f64 1 (/.f64 y (/.f64 (.f64 x x) (-.f64 y (neg.f64 y)))))) (/.f64 (neg.f64 y) x))
(+.f64 (/.f64 y x) (+.f64 (/.f64 y x) (+.f64 (+.f64 1 (.f64 2 (.f64 (/.f64 y x) (/.f64 y x)))) (*.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))))))
(+.f64 1 (.f64 2 (+.f64 (pow.f64 (/.f64 y x) 3) (.f64 (/.f64 y x) (+.f64 1 (/.f64 y x))))))
-1
(-.f64 (*.f64 -1 (/.f64 x y)) (+.f64 1 (/.f64 x y)))
(fma.f64 -2 (/.f64 x y) -1)
(fma.f64 (/.f64 x y) -2 -1)
(-.f64 (+.f64 (/.f64 (.f64 (-.f64 (.f64 -1 x) x) x) (pow.f64 y 2)) (*.f64 -1 (/.f64 x y))) (+.f64 1 (/.f64 x y)))
(+.f64 (.f64 -2 (+.f64 (/.f64 x y) (/.f64 (.f64 x x) (*.f64 y y)))) -1)
(fma.f64 -2 (+.f64 (/.f64 x y) (*.f64 (/.f64 x y) (/.f64 x y))) -1)
(fma.f64 -2 (*.f64 (+.f64 (/.f64 x y) 1) (/.f64 x y)) -1)
(-.f64 (+.f64 (/.f64 (.f64 (-.f64 (.f64 -1 x) x) (pow.f64 x 2)) (pow.f64 y 3)) (+.f64 (/.f64 (.f64 (-.f64 (.f64 -1 x) x) x) (pow.f64 y 2)) (*.f64 -1 (/.f64 x y)))) (+.f64 1 (/.f64 x y)))
(+.f64 (fma.f64 -2 (/.f64 x y) (.f64 -2 (+.f64 (/.f64 (.f64 x x) (*.f64 y y)) (/.f64 (pow.f64 x 3) (pow.f64 y 3))))) -1)
(fma.f64 (/.f64 x y) -2 (fma.f64 -2 (+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) -1))
(fma.f64 -2 (+.f64 (pow.f64 (/.f64 x y) 3) (*.f64 (+.f64 (/.f64 x y) 1) (/.f64 x y))) -1)
-1
(-.f64 (.f64 -1 (/.f64 (-.f64 x (.f64 -1 x)) y)) 1)
(fma.f64 -2 (/.f64 x y) -1)
(fma.f64 (/.f64 x y) -2 -1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 x (.f64 -1 x)) x) (pow.f64 y 2))) (.f64 -1 (/.f64 (-.f64 x (*.f64 -1 x)) y))) 1)
(+.f64 (.f64 -2 (+.f64 (/.f64 x y) (/.f64 (.f64 x x) (*.f64 y y)))) -1)
(fma.f64 -2 (+.f64 (/.f64 x y) (*.f64 (/.f64 x y) (/.f64 x y))) -1)
(fma.f64 -2 (*.f64 (+.f64 (/.f64 x y) 1) (/.f64 x y)) -1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 x (.f64 -1 x)) (pow.f64 x 2)) (pow.f64 y 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 x (.f64 -1 x)) x) (pow.f64 y 2))) (.f64 -1 (/.f64 (-.f64 x (.f64 -1 x)) y)))) 1)
(+.f64 (fma.f64 -2 (/.f64 x y) (.f64 -2 (+.f64 (/.f64 (.f64 x x) (*.f64 y y)) (/.f64 (pow.f64 x 3) (pow.f64 y 3))))) -1)
(fma.f64 (/.f64 x y) -2 (fma.f64 -2 (+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) -1))
(fma.f64 -2 (+.f64 (pow.f64 (/.f64 x y) 3) (*.f64 (+.f64 (/.f64 x y) 1) (/.f64 x y))) -1)

eval284.0ms (5.5%)

Compiler: Compiled 15678 to 4740 computations (69.8% saved)

prune271.0ms (5.3%)

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	694	2	696
Fresh	2	0	2
Picked	0	1	1
Done	0	5	5
Total	696	8	704

Error

Counts

704 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(/.f64 1 (/.f64 (+.f64 x y) (-.f64 x y)))
	36.3b	1
	28.3b	-1
✓	18.1b	(/.f64 (-.f64 (+.f64 x y) (.f64 (/.f64 (+.f64 x y) x) y)) (.f64 (/.f64 (+.f64 x y) x) (+.f64 x y)))
✓	27.3b	(-.f64 (*.f64 2 (/.f64 x y)) 1)
✓	35.5b	(+.f64 1 (*.f64 -2 (/.f64 y x)))
✓	0.0b	(/.f64 (-.f64 x y) (+.f64 x y))
✓	27.3b	(-.f64 (/.f64 x y) (/.f64 y (+.f64 x y)))

Compiler

Compiled 78 to 46 computations (41% saved)

eval0.0ms (0%)

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

prune6.0ms (0.1%)

Pruning

8 alts after pruning (2 fresh and 6 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	0	0
Done	6	6
Total	8	8

Error

Counts

8 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(/.f64 1 (/.f64 (+.f64 x y) (-.f64 x y)))
	36.3b	1
	28.3b	-1
✓	18.1b	(/.f64 (-.f64 (+.f64 x y) (.f64 (/.f64 (+.f64 x y) x) y)) (.f64 (/.f64 (+.f64 x y) x) (+.f64 x y)))
✓	27.3b	(-.f64 (*.f64 2 (/.f64 x y)) 1)
✓	35.5b	(+.f64 1 (*.f64 -2 (/.f64 y x)))
✓	0.0b	(/.f64 (-.f64 x y) (+.f64 x y))
✓	27.3b	(-.f64 (/.f64 x y) (/.f64 y (+.f64 x y)))

Compiler

Compiled 78 to 46 computations (41% saved)

regimes80.0ms (1.6%)

Counts

15 → 1

Calls

Call 1

Inputs
1
-1
-1
1
-1
1
(-.f64 (*.f64 2 (/.f64 x y)) 1)
(+.f64 1 (*.f64 -2 (/.f64 y x)))
(/.f64 (-.f64 x y) (+.f64 x y))
(/.f64 1 (/.f64 (+.f64 x y) (-.f64 x y)))
(-.f64 (/.f64 x y) (/.f64 y (+.f64 x y)))
(*.f64 (-.f64 x y) (/.f64 1 (+.f64 x y)))
(-.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 x y)))
(/.f64 (-.f64 (+.f64 x y) (.f64 (/.f64 (+.f64 x y) x) y)) (.f64 (/.f64 (+.f64 x y) x) (+.f64 x y)))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 3))

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

Calls

4 calls:

17.0ms	y
15.0ms	x
6.0ms	(/.f64 (-.f64 x y) (+.f64 x y))
5.0ms	(/.f64 (-.f64 x y) (+.f64 x y))

Results

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

Compiler

Compiled 122 to 53 computations (56.6% saved)

regimes42.0ms (0.8%)

Counts

12 → 1

Calls

Call 1

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

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

Calls

3 calls:

18.0ms	y
13.0ms	x
5.0ms	(/.f64 (-.f64 x y) (+.f64 x y))

Results

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

Compiler

Compiled 71 to 38 computations (46.5% saved)

regimes192.0ms (3.7%)

Counts

8 → 7

Calls

Call 1

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

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

Calls

2 calls:

93.0ms	x
72.0ms	y

Results

Error	Segments	Branch
14.7b	7	`x`
10.2b	7	`y`

Compiler

Compiled 28 to 22 computations (21.4% saved)

bsearch174.0ms (3.4%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
29.0ms	3.620222855089171e+130	2.3956272280517592e+132
30.0ms	2.0094718175820891e+93	8.39376325785513e+99
21.0ms	1.793064032889738e-20	5.737143939495321e-15
17.0ms	-3.807771434539554e-87	-2.8559108366382976e-105
18.0ms	-1.6328691955700217e-19	-1.827558712923807e-31
58.0ms	-3231637771403650600.0	-109368107855390.17

Compiler

Compiled 14 to 9 computations (35.7% saved)

regimes148.0ms (2.9%)

Counts

7 → 7

Calls

Call 1

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

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

Calls

2 calls:

78.0ms	x
67.0ms	y

Results

Error	Segments	Branch
15.0b	7	`x`
10.6b	7	`y`

Compiler

Compiled 21 to 17 computations (19% saved)

bsearch241.0ms (4.7%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
47.0ms	3.3042567599910587e+132	5.862523903306872e+137
28.0ms	2.0094718175820891e+93	8.39376325785513e+99
37.0ms	1.793064032889738e-20	5.737143939495321e-15
29.0ms	-3.807771434539554e-87	-2.8559108366382976e-105
71.0ms	-1.6328691955700217e-19	-1.827558712923807e-31
28.0ms	-3231637771403650600.0	-109368107855390.17

Compiler

Compiled 14 to 9 computations (35.7% saved)

regimes229.0ms (4.4%)

Accuracy

Total -51.7b remaining (-458.5%)

Threshold costs -51.7b (-458.5%)

Counts

6 → 7

Calls

Call 1

Inputs
1
-1
-1
1
-1
1

Outputs
-1
1
-1
1
-1
1
-1

Calls

2 calls:

123.0ms	y
103.0ms	x

Results

Error	Segments	Branch
15.5b	7	`x`
11.3b	7	`y`

Compiler

Compiled 14 to 12 computations (14.3% saved)

bsearch272.0ms (5.3%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
41.0ms	3.620222855089171e+130	2.3956272280517592e+132
21.0ms	2.0094718175820891e+93	8.39376325785513e+99
64.0ms	1.5381082389174192e-41	1.8583906253107997e-36
35.0ms	-3.807771434539554e-87	-2.8559108366382976e-105
29.0ms	-1.6328691955700217e-19	-1.827558712923807e-31
80.0ms	-3231637771403650600.0	-109368107855390.17

Compiler

Compiled 14 to 9 computations (35.7% saved)

simplify9.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

7×	`+-commutative_binary64`
5×	`sub-neg_binary64`
4×	`*-commutative_binary64`
2×	`neg-sub0_binary64`
2×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	255
1	66	255
2	74	255
3	78	255
4	80	255

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 x y)))
(/.f64 (-.f64 x y) (+.f64 x y))
(if (<=.f64 y -3231637771403650560) (-.f64 (.f64 2 (/.f64 x y)) 1) (if (<=.f64 y -1695668318911303/10384593717069655257060992658440192) (+.f64 1 (.f64 -2 (/.f64 y x))) (if (<=.f64 y -8528436049924801/2239744742177804210557442280568444278121645497234649534899989100963791871180160945380877493271607115776) (-.f64 (.f64 2 (/.f64 x y)) 1) (if (<=.f64 y 6101480731525234688/340282366920938463463374607431768211456) (+.f64 1 (.f64 -2 (/.f64 y x))) (if (<=.f64 y 2009471817582089119723535549544792983852496191729684384578819758758731546891039748558315061248) (-.f64 (.f64 2 (/.f64 x y)) 1) (if (<=.f64 y 36202228550891711068444913241473523979237825961012377497645884471826896440331660358280007156625883954118646454944655830537717415936) (+.f64 1 (.f64 -2 (/.f64 y x))) (-.f64 (*.f64 2 (/.f64 x y)) 1)))))))
(if (<=.f64 y -3231637771403650560) (-.f64 (.f64 2 (/.f64 x y)) 1) (if (<=.f64 y -1695668318911303/10384593717069655257060992658440192) 1 (if (<=.f64 y -8528436049924801/2239744742177804210557442280568444278121645497234649534899989100963791871180160945380877493271607115776) (-.f64 (.f64 2 (/.f64 x y)) 1) (if (<=.f64 y 6101480731525234688/340282366920938463463374607431768211456) 1 (if (<=.f64 y 2009471817582089119723535549544792983852496191729684384578819758758731546891039748558315061248) (-.f64 (.f64 2 (/.f64 x y)) 1) (if (<=.f64 y 3304256759991058660423854841825190569192959334429470754287114584168722798549484748697125895424099722317567351211389234404614687686656) 1 (-.f64 (.f64 2 (/.f64 x y)) 1)))))))
(if (<=.f64 y -3231637771403650560) -1 (if (<=.f64 y -1695668318911303/10384593717069655257060992658440192) 1 (if (<=.f64 y -8528436049924801/2239744742177804210557442280568444278121645497234649534899989100963791871180160945380877493271607115776) -1 (if (<=.f64 y 96548618957210832/6277101735386680763835789423207666416102355444464034512896) 1 (if (<=.f64 y 2009471817582089119723535549544792983852496191729684384578819758758731546891039748558315061248) -1 (if (<=.f64 y 36202228550891711068444913241473523979237825961012377497645884471826896440331660358280007156625883954118646454944655830537717415936) 1 -1))))))
1

Outputs
(-.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 x y)))
(/.f64 (-.f64 x y) (+.f64 x y))
(if (<=.f64 y -3231637771403650560) (-.f64 (.f64 2 (/.f64 x y)) 1) (if (<=.f64 y -1695668318911303/10384593717069655257060992658440192) (+.f64 1 (.f64 -2 (/.f64 y x))) (if (<=.f64 y -8528436049924801/2239744742177804210557442280568444278121645497234649534899989100963791871180160945380877493271607115776) (-.f64 (.f64 2 (/.f64 x y)) 1) (if (<=.f64 y 6101480731525234688/340282366920938463463374607431768211456) (+.f64 1 (.f64 -2 (/.f64 y x))) (if (<=.f64 y 2009471817582089119723535549544792983852496191729684384578819758758731546891039748558315061248) (-.f64 (.f64 2 (/.f64 x y)) 1) (if (<=.f64 y 36202228550891711068444913241473523979237825961012377497645884471826896440331660358280007156625883954118646454944655830537717415936) (+.f64 1 (.f64 -2 (/.f64 y x))) (-.f64 (*.f64 2 (/.f64 x y)) 1)))))))
(if (<=.f64 y -3231637771403650560) (+.f64 (.f64 2 (/.f64 x y)) -1) (if (<=.f64 y -1695668318911303/10384593717069655257060992658440192) (+.f64 1 (.f64 -2 (/.f64 y x))) (if (<=.f64 y -8528436049924801/2239744742177804210557442280568444278121645497234649534899989100963791871180160945380877493271607115776) (+.f64 (.f64 2 (/.f64 x y)) -1) (if (<=.f64 y 372404829805007/20769187434139310514121985316880384) (+.f64 1 (.f64 -2 (/.f64 y x))) (if (<=.f64 y 2009471817582089119723535549544792983852496191729684384578819758758731546891039748558315061248) (+.f64 (.f64 2 (/.f64 x y)) -1) (if (<=.f64 y 36202228550891711068444913241473523979237825961012377497645884471826896440331660358280007156625883954118646454944655830537717415936) (+.f64 1 (.f64 -2 (/.f64 y x))) (+.f64 (*.f64 2 (/.f64 x y)) -1)))))))
(if (<=.f64 y -3231637771403650560) (-.f64 (.f64 2 (/.f64 x y)) 1) (if (<=.f64 y -1695668318911303/10384593717069655257060992658440192) 1 (if (<=.f64 y -8528436049924801/2239744742177804210557442280568444278121645497234649534899989100963791871180160945380877493271607115776) (-.f64 (.f64 2 (/.f64 x y)) 1) (if (<=.f64 y 6101480731525234688/340282366920938463463374607431768211456) 1 (if (<=.f64 y 2009471817582089119723535549544792983852496191729684384578819758758731546891039748558315061248) (-.f64 (.f64 2 (/.f64 x y)) 1) (if (<=.f64 y 3304256759991058660423854841825190569192959334429470754287114584168722798549484748697125895424099722317567351211389234404614687686656) 1 (-.f64 (.f64 2 (/.f64 x y)) 1)))))))
(if (<=.f64 y -3231637771403650560) (+.f64 (.f64 2 (/.f64 x y)) -1) (if (<=.f64 y -1695668318911303/10384593717069655257060992658440192) 1 (if (<=.f64 y -8528436049924801/2239744742177804210557442280568444278121645497234649534899989100963791871180160945380877493271607115776) (+.f64 (.f64 2 (/.f64 x y)) -1) (if (<=.f64 y 372404829805007/20769187434139310514121985316880384) 1 (if (<=.f64 y 2009471817582089119723535549544792983852496191729684384578819758758731546891039748558315061248) (+.f64 (.f64 2 (/.f64 x y)) -1) (if (<=.f64 y 3304256759991058660423854841825190569192959334429470754287114584168722798549484748697125895424099722317567351211389234404614687686656) 1 (+.f64 (.f64 2 (/.f64 x y)) -1)))))))
(if (<=.f64 y -3231637771403650560) -1 (if (<=.f64 y -1695668318911303/10384593717069655257060992658440192) 1 (if (<=.f64 y -8528436049924801/2239744742177804210557442280568444278121645497234649534899989100963791871180160945380877493271607115776) -1 (if (<=.f64 y 96548618957210832/6277101735386680763835789423207666416102355444464034512896) 1 (if (<=.f64 y 2009471817582089119723535549544792983852496191729684384578819758758731546891039748558315061248) -1 (if (<=.f64 y 36202228550891711068444913241473523979237825961012377497645884471826896440331660358280007156625883954118646454944655830537717415936) 1 -1))))))
(if (<=.f64 y -3231637771403650560) -1 (if (<=.f64 y -1695668318911303/10384593717069655257060992658440192) 1 (if (<=.f64 y -8528436049924801/2239744742177804210557442280568444278121645497234649534899989100963791871180160945380877493271607115776) -1 (if (<=.f64 y 6034288684825677/392318858461667547739736838950479151006397215279002157056) 1 (if (<=.f64 y 2009471817582089119723535549544792983852496191729684384578819758758731546891039748558315061248) -1 (if (<=.f64 y 36202228550891711068444913241473523979237825961012377497645884471826896440331660358280007156625883954118646454944655830537717415936) 1 -1))))))
1

end150.0ms (2.9%)

Stop Event

1×

fuel

Compiler

Compiled 370 to 250 computations (32.4% saved)

Details

analyze128.0ms (2.5%)

sample889.0ms (17.3%)

preprocess71.0ms (1.4%)

simplify52.0ms (1%)

eval0.0ms (0%)

prune1.0ms (0%)

localize6.0ms (0.1%)

series4.0ms (0.1%)

rewrite44.0ms (0.9%)

simplify43.0ms (0.8%)

eval13.0ms (0.3%)

prune13.0ms (0.3%)

localize8.0ms (0.2%)

series9.0ms (0.2%)

rewrite90.0ms (1.8%)

simplify66.0ms (1.3%)

localize8.0ms (0.1%)

series9.0ms (0.2%)

rewrite52.0ms (1%)

simplify8.0ms (0.2%)

localize7.0ms (0.1%)

localize9.0ms (0.2%)

series4.0ms (0.1%)

rewrite51.0ms (1%)

simplify56.0ms (1.1%)

localize12.0ms (0.2%)

series14.0ms (0.3%)

rewrite118.0ms (2.3%)

simplify154.0ms (3%)

eval358.0ms (7%)

prune139.0ms (2.7%)

localize25.0ms (0.5%)

series27.0ms (0.5%)

rewrite146.0ms (2.8%)

simplify124.0ms (2.4%)

localize10.0ms (0.2%)

series2.0ms (0%)

rewrite68.0ms (1.3%)

simplify54.0ms (1.1%)

localize8.0ms (0.2%)

series5.0ms (0.1%)

rewrite65.0ms (1.3%)

simplify77.0ms (1.5%)

eval284.0ms (5.5%)

prune271.0ms (5.3%)

eval0.0ms (0%)

prune6.0ms (0.1%)

regimes80.0ms (1.6%)

regimes42.0ms (0.8%)

regimes192.0ms (3.7%)

bsearch174.0ms (3.4%)

regimes148.0ms (2.9%)

bsearch241.0ms (4.7%)

regimes229.0ms (4.4%)

bsearch272.0ms (5.3%)

simplify9.0ms (0.2%)

end150.0ms (2.9%)

Profiling