Details

analyze90.0ms (2.9%)

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)

sample836.0ms (26.9%)

Results

819.0ms

8256×

body

256

valid

preprocess69.0ms (2.2%)

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 (1.7%)

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)

localize4.0ms (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))

series5.0ms (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))

rewrite52.0ms (1.7%)

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 (1.4%)

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 (0.4%)

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

prune15.0ms (0.5%)

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
▶	33.0b	(-.f64 (*.f64 2 (/.f64 x y)) 1)
	33.3b	-1
▶	30.2b	(+.f64 1 (*.f64 -2 (/.f64 y x)))
✓	0.0b	(/.f64 (-.f64 x y) (+.f64 x y))
▶	0.8b	(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 x y)))) 1)
▶	0.0b	(-.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 x y)))
	30.8b	1
▶	0.2b	(*.f64 (/.f64 1 (+.f64 x y)) (-.f64 x y))

Compiler

Compiled 125 to 83 computations (33.6% saved)

localize5.0ms (0.2%)

Local error

Found 6 expressions with local error:

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

series9.0ms (0.3%)

Counts

3 → 72

Calls

18 calls:

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

rewrite98.0ms (3.1%)

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

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

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

simplify67.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

542×	`fma-def_binary64`
509×	`sub-neg_binary64`
409×	`times-frac_binary64`
381×	`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	5034	1098

Stop Event

1×	node limit

Counts

385 → 365

Calls

Call 1

Inputs
(/.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))))))
-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)

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

localize10.0ms (0.3%)

localize4.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

series4.0ms (0.1%)

Counts

1 → 0

Calls

6 calls:

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

rewrite41.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

652×	`pow1_binary64`
604×	`add-log-exp_binary64`
604×	`log1p-expm1-u_binary64`
604×	`expm1-log1p-u_binary64`
592×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	127	7
2	1608	7

Stop Event

1×	node limit

Counts

1 → 20

Calls

Call 1

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

Outputs

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

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

20 → 20

Calls

Call 1

Inputs

Outputs

localize5.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

series5.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(/.f64 1 (+.f64 x y))
0.0ms	x	@	inf	(/.f64 1 (+.f64 x y))
0.0ms	x	@	0	(*.f64 (/.f64 1 (+.f64 x y)) (-.f64 x y))
0.0ms	y	@	0	(/.f64 1 (+.f64 x y))
0.0ms	x	@	-inf	(/.f64 1 (+.f64 x y))

rewrite54.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

972×	`pow1_binary64`
905×	`add-log-exp_binary64`
905×	`log1p-expm1-u_binary64`
905×	`expm1-log1p-u_binary64`
89×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	174	17
2	2436	17

Stop Event

1×	node limit

Counts

2 → 62

Calls

Call 1

Inputs
(*.f64 (/.f64 1 (+.f64 x y)) (-.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 1 (/.f64 (+.f64 x y) (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 x y) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (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 -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 (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 (-.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 -1 (-.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)) (/.f64 1 (+.f64 x y))) (fma.f64 x x (*.f64 y (+.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 /.f64 (*.f64 (-.f64 x y) -1) (neg.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 (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 1 (+.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 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))))))))

simplify54.0ms (1.8%)

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

localize8.0ms (0.3%)

Local error

Found 6 expressions with local error:

New	Error	Program
	3.0b	(log1p.f64 (/.f64 (-.f64 x y) (+.f64 x y)))
	0.0b	(exp.f64 (log1p.f64 (/.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	(exp.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 x y))))
✓	3.0b	(log1p.f64 (/.f64 (-.f64 x y) (+.f64 x y)))

series14.0ms (0.4%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	y	@	inf	(log1p.f64 (/.f64 (-.f64 x y) (+.f64 x y)))
2.0ms	x	@	inf	(exp.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 x y))))
1.0ms	y	@	inf	(exp.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 x y))))
1.0ms	x	@	0	(log1p.f64 (/.f64 (-.f64 x y) (+.f64 x y)))
1.0ms	y	@	-inf	(exp.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 x y))))

rewrite58.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

958×	`prod-diff_binary64`
482×	`log-prod_binary64`
272×	`fma-def_binary64`
248×	`pow2_binary64`
172×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	26
1	177	25
2	2665	25

Stop Event

1×	node limit

Counts

2 → 92

Calls

Call 1

Inputs
(log1p.f64 (/.f64 (-.f64 x y) (+.f64 x y)))
(exp.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 x y))))

Outputs

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

simplify105.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

814×	`associate-/r*_binary64`
704×	`associate-/l*_binary64`
459×	`distribute-rgt-in_binary64`
434×	`distribute-lft-in_binary64`
238×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	221	2155
1	716	1659
2	2879	1415

Stop Event

1×	node limit

Counts

140 → 168

Calls

Call 1

Inputs
(+.f64 (log.f64 (/.f64 2 y)) (log.f64 x))
(+.f64 (log.f64 (/.f64 2 y)) (+.f64 (*.f64 -1 (/.f64 x y)) (log.f64 x)))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (log.f64 (/.f64 2 y)) (+.f64 (.f64 -1 (/.f64 x y)) (log.f64 x))))
(+.f64 (.f64 -1/3 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (log.f64 (/.f64 2 y)) (+.f64 (*.f64 -1 (/.f64 x y)) (log.f64 x)))))
(log.f64 2)
(+.f64 (log.f64 2) (.f64 1/2 (/.f64 (-.f64 (.f64 -1 y) y) x)))
(+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -1 (.f64 y (-.f64 (.f64 -1 y) y))) (.f64 -1/4 (pow.f64 (-.f64 (.f64 -1 y) y) 2))) (pow.f64 x 2))) (+.f64 (log.f64 2) (.f64 1/2 (/.f64 (-.f64 (.f64 -1 y) y) x))))
(+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -1 (.f64 y (-.f64 (.f64 -1 y) y))) (.f64 -1/4 (pow.f64 (-.f64 (.f64 -1 y) y) 2))) (pow.f64 x 2))) (+.f64 (log.f64 2) (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 -1 y) y) x)) (.f64 1/6 (/.f64 (+.f64 (.f64 1/4 (pow.f64 (-.f64 (.f64 -1 y) y) 3)) (+.f64 (.f64 3 (.f64 (pow.f64 y 2) (-.f64 (.f64 -1 y) y))) (.f64 3/2 (.f64 y (pow.f64 (-.f64 (*.f64 -1 y) y) 2))))) (pow.f64 x 3))))))
(log.f64 2)
(+.f64 (log.f64 2) (.f64 1/2 (/.f64 (-.f64 (.f64 -1 y) y) x)))
(+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -1 (.f64 y (-.f64 (.f64 -1 y) y))) (.f64 -1/4 (pow.f64 (-.f64 (.f64 -1 y) y) 2))) (pow.f64 x 2))) (+.f64 (log.f64 2) (.f64 1/2 (/.f64 (-.f64 (.f64 -1 y) y) x))))
(+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -1 (.f64 y (-.f64 (.f64 -1 y) y))) (.f64 -1/4 (pow.f64 (-.f64 (.f64 -1 y) y) 2))) (pow.f64 x 2))) (+.f64 (log.f64 2) (+.f64 (.f64 -1/6 (/.f64 (+.f64 (.f64 -1/4 (pow.f64 (-.f64 (.f64 -1 y) y) 3)) (+.f64 (.f64 -3 (.f64 (pow.f64 y 2) (-.f64 (.f64 -1 y) y))) (.f64 -3/2 (.f64 y (pow.f64 (-.f64 (.f64 -1 y) y) 2))))) (pow.f64 x 3))) (.f64 1/2 (/.f64 (-.f64 (*.f64 -1 y) y) x)))))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 -1 (/.f64 y x)))
(+.f64 (log.f64 2) (+.f64 (.f64 1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (.f64 -1 (/.f64 y x))))
(+.f64 (.f64 -1/3 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 (log.f64 2) (+.f64 (.f64 1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x)))))
(+.f64 (log.f64 (/.f64 1 y)) (log.f64 (-.f64 x (*.f64 -1 x))))
(+.f64 (log.f64 (/.f64 1 y)) (+.f64 (.f64 -1 (/.f64 x y)) (log.f64 (-.f64 x (.f64 -1 x)))))
(+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -1 (pow.f64 x 2))) (pow.f64 y 2))) (+.f64 (log.f64 (/.f64 1 y)) (+.f64 (.f64 -1 (/.f64 x y)) (log.f64 (-.f64 x (*.f64 -1 x))))))
(+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -1 (pow.f64 x 2))) (pow.f64 y 2))) (+.f64 (.f64 1/6 (/.f64 (+.f64 (.f64 -2 (pow.f64 x 3)) (+.f64 (.f64 -6 (pow.f64 x 3)) (.f64 6 (pow.f64 x 3)))) (pow.f64 y 3))) (+.f64 (log.f64 (/.f64 1 y)) (+.f64 (.f64 -1 (/.f64 x y)) (log.f64 (-.f64 x (*.f64 -1 x)))))))
(+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (-.f64 (*.f64 -1 x) x)))
(+.f64 (log.f64 (/.f64 -1 y)) (+.f64 (log.f64 (-.f64 (.f64 -1 x) x)) (.f64 -1 (/.f64 x y))))
(+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -1 (pow.f64 x 2))) (pow.f64 y 2))) (+.f64 (log.f64 (/.f64 -1 y)) (+.f64 (log.f64 (-.f64 (.f64 -1 x) x)) (*.f64 -1 (/.f64 x y)))))
(+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -1 (pow.f64 x 2))) (pow.f64 y 2))) (+.f64 (log.f64 (/.f64 -1 y)) (+.f64 (.f64 -1/6 (/.f64 (+.f64 (.f64 2 (pow.f64 x 3)) (+.f64 (.f64 6 (pow.f64 x 3)) (.f64 -6 (pow.f64 x 3)))) (pow.f64 y 3))) (+.f64 (log.f64 (-.f64 (.f64 -1 x) x)) (*.f64 -1 (/.f64 x y))))))
(exp.f64 (+.f64 (log.f64 (/.f64 2 y)) (log.f64 x)))
(+.f64 (.f64 -1 (/.f64 (.f64 (exp.f64 (+.f64 (log.f64 (/.f64 2 y)) (log.f64 x))) x) y)) (exp.f64 (+.f64 (log.f64 (/.f64 2 y)) (log.f64 x))))
(+.f64 (/.f64 (.f64 (exp.f64 (+.f64 (log.f64 (/.f64 2 y)) (log.f64 x))) (pow.f64 x 2)) (pow.f64 y 2)) (+.f64 (.f64 -1 (/.f64 (*.f64 (exp.f64 (+.f64 (log.f64 (/.f64 2 y)) (log.f64 x))) x) y)) (exp.f64 (+.f64 (log.f64 (/.f64 2 y)) (log.f64 x)))))
(+.f64 (/.f64 (.f64 (exp.f64 (+.f64 (log.f64 (/.f64 2 y)) (log.f64 x))) (pow.f64 x 2)) (pow.f64 y 2)) (+.f64 (.f64 -1 (/.f64 (.f64 (exp.f64 (+.f64 (log.f64 (/.f64 2 y)) (log.f64 x))) (pow.f64 x 3)) (pow.f64 y 3))) (+.f64 (.f64 -1 (/.f64 (*.f64 (exp.f64 (+.f64 (log.f64 (/.f64 2 y)) (log.f64 x))) x) y)) (exp.f64 (+.f64 (log.f64 (/.f64 2 y)) (log.f64 x))))))
2
(-.f64 (+.f64 2 (*.f64 -1 (/.f64 y x))) (/.f64 y x))
(-.f64 (+.f64 2 (+.f64 (.f64 2 (/.f64 (+.f64 (.f64 1/2 (+.f64 (.f64 -1 (.f64 y (-.f64 (.f64 -1 y) y))) (.f64 -1/4 (pow.f64 (-.f64 (.f64 -1 y) y) 2)))) (.f64 1/8 (pow.f64 (-.f64 (.f64 -1 y) y) 2))) (pow.f64 x 2))) (.f64 -1 (/.f64 y x)))) (/.f64 y x))
(-.f64 (+.f64 (.f64 2 (/.f64 (+.f64 (.f64 1/48 (pow.f64 (-.f64 (.f64 -1 y) y) 3)) (+.f64 (.f64 1/6 (+.f64 (.f64 1/4 (pow.f64 (-.f64 (.f64 -1 y) y) 3)) (+.f64 (.f64 3 (.f64 (pow.f64 y 2) (-.f64 (.f64 -1 y) y))) (.f64 3/2 (.f64 y (pow.f64 (-.f64 (.f64 -1 y) y) 2)))))) (.f64 1/4 (.f64 (-.f64 (.f64 -1 y) y) (+.f64 (.f64 -1 (.f64 y (-.f64 (.f64 -1 y) y))) (.f64 -1/4 (pow.f64 (-.f64 (.f64 -1 y) y) 2))))))) (pow.f64 x 3))) (+.f64 2 (+.f64 (.f64 2 (/.f64 (+.f64 (.f64 1/2 (+.f64 (.f64 -1 (.f64 y (-.f64 (.f64 -1 y) y))) (.f64 -1/4 (pow.f64 (-.f64 (.f64 -1 y) y) 2)))) (.f64 1/8 (pow.f64 (-.f64 (.f64 -1 y) y) 2))) (pow.f64 x 2))) (.f64 -1 (/.f64 y x))))) (/.f64 y x))
2
(-.f64 (+.f64 2 (*.f64 -1 (/.f64 y x))) (/.f64 y x))
(-.f64 (+.f64 2 (+.f64 (.f64 2 (/.f64 (+.f64 (.f64 1/2 (+.f64 (.f64 -1 (.f64 y (-.f64 (.f64 -1 y) y))) (.f64 -1/4 (pow.f64 (-.f64 (.f64 -1 y) y) 2)))) (.f64 1/8 (pow.f64 (-.f64 (.f64 -1 y) y) 2))) (pow.f64 x 2))) (.f64 -1 (/.f64 y x)))) (/.f64 y x))
(-.f64 (+.f64 2 (+.f64 (.f64 -2 (/.f64 (+.f64 (.f64 -1/4 (.f64 (-.f64 (.f64 -1 y) y) (+.f64 (.f64 -1 (.f64 y (-.f64 (.f64 -1 y) y))) (.f64 -1/4 (pow.f64 (-.f64 (.f64 -1 y) y) 2))))) (+.f64 (.f64 1/6 (+.f64 (.f64 -3 (.f64 (pow.f64 y 2) (-.f64 (.f64 -1 y) y))) (+.f64 (.f64 -1/4 (pow.f64 (-.f64 (.f64 -1 y) y) 3)) (.f64 -3/2 (.f64 y (pow.f64 (-.f64 (.f64 -1 y) y) 2)))))) (.f64 -1/48 (pow.f64 (-.f64 (.f64 -1 y) y) 3)))) (pow.f64 x 3))) (+.f64 (.f64 2 (/.f64 (+.f64 (.f64 1/2 (+.f64 (.f64 -1 (.f64 y (-.f64 (.f64 -1 y) y))) (.f64 -1/4 (pow.f64 (-.f64 (.f64 -1 y) y) 2)))) (.f64 1/8 (pow.f64 (-.f64 (.f64 -1 y) y) 2))) (pow.f64 x 2))) (.f64 -1 (/.f64 y x))))) (/.f64 y x))
2
(+.f64 2 (*.f64 -2 (/.f64 y x)))
(+.f64 2 (+.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 2 (+.f64 (.f64 -2 (/.f64 y x)) (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))))
(exp.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 (-.f64 x (*.f64 -1 x)))))
(+.f64 (.f64 -1 (/.f64 (.f64 (exp.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 (-.f64 x (.f64 -1 x))))) x) y)) (exp.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 (-.f64 x (.f64 -1 x))))))
(+.f64 (.f64 -1 (/.f64 (.f64 (exp.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 (-.f64 x (.f64 -1 x))))) x) y)) (+.f64 (exp.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 (-.f64 x (.f64 -1 x))))) (/.f64 (.f64 (exp.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 (-.f64 x (.f64 -1 x))))) (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/2 (+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -1 (pow.f64 x 2)))))) (pow.f64 y 2))))
(+.f64 (.f64 -1 (/.f64 (.f64 (exp.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 (-.f64 x (.f64 -1 x))))) x) y)) (+.f64 (exp.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 (-.f64 x (.f64 -1 x))))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 1/6 (+.f64 (.f64 -2 (pow.f64 x 3)) (+.f64 (.f64 -6 (pow.f64 x 3)) (.f64 6 (pow.f64 x 3))))) (.f64 -1/2 (.f64 (+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -1 (pow.f64 x 2))) x)))) (exp.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 (-.f64 x (.f64 -1 x)))))) (pow.f64 y 3)) (/.f64 (.f64 (exp.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 (-.f64 x (.f64 -1 x))))) (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/2 (+.f64 (.f64 2 (pow.f64 x 2)) (*.f64 -1 (pow.f64 x 2)))))) (pow.f64 y 2)))))
(exp.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (-.f64 (*.f64 -1 x) x))))
(+.f64 (.f64 -1 (/.f64 (.f64 (exp.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (-.f64 (.f64 -1 x) x)))) x) y)) (exp.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (-.f64 (.f64 -1 x) x)))))
(+.f64 (/.f64 (.f64 (exp.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (-.f64 (.f64 -1 x) x)))) (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/2 (+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -1 (pow.f64 x 2)))))) (pow.f64 y 2)) (+.f64 (.f64 -1 (/.f64 (.f64 (exp.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (-.f64 (.f64 -1 x) x)))) x) y)) (exp.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (-.f64 (.f64 -1 x) x))))))
(+.f64 (/.f64 (.f64 (exp.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (-.f64 (.f64 -1 x) x)))) (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/2 (+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -1 (pow.f64 x 2)))))) (pow.f64 y 2)) (+.f64 (.f64 -1 (/.f64 (.f64 (exp.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (-.f64 (.f64 -1 x) x)))) x) y)) (+.f64 (.f64 -1 (/.f64 (.f64 (exp.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (-.f64 (.f64 -1 x) x)))) (+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/6 (+.f64 (.f64 2 (pow.f64 x 3)) (+.f64 (.f64 6 (pow.f64 x 3)) (.f64 -6 (pow.f64 x 3))))) (.f64 1/2 (.f64 (+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -1 (pow.f64 x 2))) x))))) (pow.f64 y 3))) (exp.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (-.f64 (.f64 -1 x) x)))))))

Outputs
(+.f64 (log.f64 (/.f64 2 y)) (log.f64 x))
(+.f64 (log.f64 (/.f64 2 y)) (+.f64 (*.f64 -1 (/.f64 x y)) (log.f64 x)))
(+.f64 (log.f64 (/.f64 2 y)) (fma.f64 -1 (/.f64 x y) (log.f64 x)))
(+.f64 (log.f64 (/.f64 2 y)) (-.f64 (log.f64 x) (/.f64 x y)))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (log.f64 (/.f64 2 y)) (+.f64 (.f64 -1 (/.f64 x y)) (log.f64 x))))
(fma.f64 1/2 (/.f64 (.f64 x x) (.f64 y y)) (+.f64 (log.f64 (/.f64 2 y)) (fma.f64 -1 (/.f64 x y) (log.f64 x))))
(+.f64 (-.f64 (log.f64 x) (/.f64 x y)) (fma.f64 1/2 (*.f64 (/.f64 x y) (/.f64 x y)) (log.f64 (/.f64 2 y))))
(+.f64 (.f64 -1/3 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (log.f64 (/.f64 2 y)) (+.f64 (*.f64 -1 (/.f64 x y)) (log.f64 x)))))
(fma.f64 -1/3 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 1/2 (/.f64 (.f64 x x) (.f64 y y)) (+.f64 (log.f64 (/.f64 2 y)) (fma.f64 -1 (/.f64 x y) (log.f64 x)))))
(fma.f64 -1/3 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (+.f64 (-.f64 (log.f64 x) (/.f64 x y)) (fma.f64 1/2 (*.f64 (/.f64 x y) (/.f64 x y)) (log.f64 (/.f64 2 y)))))
(fma.f64 -1/3 (pow.f64 (/.f64 x y) 3) (+.f64 (-.f64 (log.f64 x) (/.f64 x y)) (fma.f64 1/2 (*.f64 (/.f64 x y) (/.f64 x y)) (log.f64 (/.f64 2 y)))))
(log.f64 2)
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(+.f64 (fma.f64 2 (/.f64 (+.f64 (.f64 (.f64 (.f64 y -2) (-.f64 (.f64 (neg.f64 y) -1/2) y)) (.f64 (neg.f64 y) 1/2)) (+.f64 (.f64 (.f64 (pow.f64 y 3) -8) 1/16) (.f64 1/6 (fma.f64 3 (.f64 (pow.f64 y 3) -2) (.f64 y (.f64 (.f64 (.f64 y y) 4) 3/2)))))) (pow.f64 x 3)) 2) (+.f64 (.f64 (/.f64 2 (.f64 x x)) (+.f64 (.f64 1/2 (.f64 2 (.f64 y y))) (.f64 (.f64 (*.f64 y y) 4) 0))) (/.f64 y (/.f64 x -2))))
2
(-.f64 (+.f64 2 (*.f64 -1 (/.f64 y x))) (/.f64 y x))
(+.f64 2 (/.f64 (-.f64 (neg.f64 y) y) x))
(fma.f64 (/.f64 y x) -2 2)
(-.f64 (+.f64 2 (+.f64 (.f64 2 (/.f64 (+.f64 (.f64 1/2 (+.f64 (.f64 -1 (.f64 y (-.f64 (.f64 -1 y) y))) (.f64 -1/4 (pow.f64 (-.f64 (.f64 -1 y) y) 2)))) (.f64 1/8 (pow.f64 (-.f64 (.f64 -1 y) y) 2))) (pow.f64 x 2))) (.f64 -1 (/.f64 y x)))) (/.f64 y x))
(+.f64 2 (-.f64 (fma.f64 2 (/.f64 (fma.f64 1/2 (fma.f64 -1 (.f64 y (-.f64 (neg.f64 y) y)) (.f64 -1/4 (pow.f64 (-.f64 (neg.f64 y) y) 2))) (.f64 (pow.f64 (-.f64 (neg.f64 y) y) 2) 1/8)) (.f64 x x)) (/.f64 (neg.f64 y) x)) (/.f64 y x)))
(+.f64 2 (+.f64 (.f64 2 (/.f64 (fma.f64 1/2 (-.f64 (.f64 -1/4 (pow.f64 (.f64 y -2) 2)) (.f64 y (.f64 y -2))) (.f64 (pow.f64 (.f64 y -2) 2) 1/8)) (.f64 x x))) (/.f64 (*.f64 y -2) x)))
(+.f64 2 (+.f64 (.f64 (/.f64 2 (.f64 x x)) (+.f64 (.f64 1/2 (.f64 2 (.f64 y y))) (.f64 (.f64 (.f64 y y) 4) 0))) (/.f64 y (/.f64 x -2))))
(-.f64 (+.f64 2 (+.f64 (.f64 -2 (/.f64 (+.f64 (.f64 -1/4 (.f64 (-.f64 (.f64 -1 y) y) (+.f64 (.f64 -1 (.f64 y (-.f64 (.f64 -1 y) y))) (.f64 -1/4 (pow.f64 (-.f64 (.f64 -1 y) y) 2))))) (+.f64 (.f64 1/6 (+.f64 (.f64 -3 (.f64 (pow.f64 y 2) (-.f64 (.f64 -1 y) y))) (+.f64 (.f64 -1/4 (pow.f64 (-.f64 (.f64 -1 y) y) 3)) (.f64 -3/2 (.f64 y (pow.f64 (-.f64 (.f64 -1 y) y) 2)))))) (.f64 -1/48 (pow.f64 (-.f64 (.f64 -1 y) y) 3)))) (pow.f64 x 3))) (+.f64 (.f64 2 (/.f64 (+.f64 (.f64 1/2 (+.f64 (.f64 -1 (.f64 y (-.f64 (.f64 -1 y) y))) (.f64 -1/4 (pow.f64 (-.f64 (.f64 -1 y) y) 2)))) (.f64 1/8 (pow.f64 (-.f64 (.f64 -1 y) y) 2))) (pow.f64 x 2))) (.f64 -1 (/.f64 y x))))) (/.f64 y x))
(+.f64 2 (-.f64 (fma.f64 -2 (/.f64 (fma.f64 -1/4 (.f64 (-.f64 (neg.f64 y) y) (fma.f64 -1 (.f64 y (-.f64 (neg.f64 y) y)) (.f64 -1/4 (pow.f64 (-.f64 (neg.f64 y) y) 2)))) (fma.f64 1/6 (fma.f64 -3 (.f64 (.f64 y y) (-.f64 (neg.f64 y) y)) (fma.f64 -1/4 (pow.f64 (-.f64 (neg.f64 y) y) 3) (.f64 (.f64 y (pow.f64 (-.f64 (neg.f64 y) y) 2)) -3/2))) (.f64 (pow.f64 (-.f64 (neg.f64 y) y) 3) -1/48))) (pow.f64 x 3)) (fma.f64 2 (/.f64 (fma.f64 1/2 (fma.f64 -1 (.f64 y (-.f64 (neg.f64 y) y)) (.f64 -1/4 (pow.f64 (-.f64 (neg.f64 y) y) 2))) (.f64 (pow.f64 (-.f64 (neg.f64 y) y) 2) 1/8)) (.f64 x x)) (/.f64 (neg.f64 y) x))) (/.f64 y x)))
(+.f64 2 (+.f64 (fma.f64 -2 (/.f64 (fma.f64 -1/4 (+.f64 (.f64 -1/4 (pow.f64 (.f64 y -2) 3)) (.f64 (neg.f64 y) (pow.f64 (.f64 y -2) 2))) (fma.f64 1/6 (fma.f64 -1/4 (pow.f64 (.f64 y -2) 3) (fma.f64 (.f64 (pow.f64 y 3) -2) -3 (.f64 y (.f64 (pow.f64 (.f64 y -2) 2) -3/2)))) (.f64 (pow.f64 (.f64 y -2) 3) -1/48))) (pow.f64 x 3)) (.f64 2 (/.f64 (fma.f64 1/2 (-.f64 (.f64 -1/4 (pow.f64 (.f64 y -2) 2)) (.f64 y (.f64 y -2))) (.f64 (pow.f64 (.f64 y -2) 2) 1/8)) (.f64 x x)))) (/.f64 (.f64 y -2) x)))
(+.f64 2 (+.f64 (fma.f64 -2 (/.f64 (fma.f64 -1/4 (.f64 (.f64 (.f64 y y) 4) (+.f64 (.f64 (neg.f64 y) -1/2) (neg.f64 y))) (fma.f64 1/6 (fma.f64 (.f64 (pow.f64 y 3) -2) -3 (.f64 (.f64 (.f64 y y) 4) (+.f64 (.f64 (neg.f64 y) -1/2) (.f64 y -3/2)))) (.f64 (.f64 (pow.f64 y 3) -8) -1/48))) (pow.f64 x 3)) (.f64 (/.f64 2 (.f64 x x)) (+.f64 (.f64 1/2 (.f64 2 (.f64 y y))) (.f64 (.f64 (.f64 y y) 4) 0)))) (/.f64 y (/.f64 x -2))))
2
(+.f64 2 (*.f64 -2 (/.f64 y x)))
(+.f64 2 (/.f64 (-.f64 (neg.f64 y) y) x))
(fma.f64 (/.f64 y x) -2 2)
(+.f64 2 (+.f64 (.f64 -2 (/.f64 y x)) (.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))
(+.f64 2 (fma.f64 -2 (/.f64 y x) (.f64 2 (/.f64 (.f64 y y) (*.f64 x x)))))
(+.f64 2 (fma.f64 2 (/.f64 (.f64 y y) (.f64 x x)) (/.f64 (*.f64 y -2) x)))
(+.f64 2 (fma.f64 2 (/.f64 (.f64 y y) (.f64 x x)) (/.f64 y (/.f64 x -2))))
(+.f64 (.f64 -2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 2 (+.f64 (.f64 -2 (/.f64 y x)) (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))))
(fma.f64 -2 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (+.f64 2 (fma.f64 -2 (/.f64 y x) (.f64 2 (/.f64 (.f64 y y) (*.f64 x x))))))
(+.f64 (fma.f64 2 (/.f64 (.f64 y y) (.f64 x x)) (/.f64 (*.f64 y -2) x)) (fma.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) -2 2))
(+.f64 (fma.f64 2 (/.f64 (.f64 y y) (.f64 x x)) (/.f64 y (/.f64 x -2))) (fma.f64 (pow.f64 (/.f64 y x) 3) -2 2))
(exp.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 (-.f64 x (*.f64 -1 x)))))
(exp.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 (-.f64 x (neg.f64 x)))))
(*.f64 (/.f64 1 y) (+.f64 x x))
(/.f64 (+.f64 x x) y)
(+.f64 (.f64 -1 (/.f64 (.f64 (exp.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 (-.f64 x (.f64 -1 x))))) x) y)) (exp.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 (-.f64 x (.f64 -1 x))))))
(fma.f64 -1 (/.f64 (exp.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 (-.f64 x (neg.f64 x))))) (/.f64 y x)) (exp.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 (-.f64 x (neg.f64 x))))))
(-.f64 (.f64 (/.f64 1 y) (+.f64 x x)) (/.f64 (.f64 (/.f64 1 y) (+.f64 x x)) (/.f64 y x)))
(-.f64 (/.f64 (+.f64 x x) y) (*.f64 (/.f64 x y) (/.f64 (+.f64 x x) y)))
(+.f64 (.f64 -1 (/.f64 (.f64 (exp.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 (-.f64 x (.f64 -1 x))))) x) y)) (+.f64 (exp.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 (-.f64 x (.f64 -1 x))))) (/.f64 (.f64 (exp.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 (-.f64 x (.f64 -1 x))))) (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/2 (+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -1 (pow.f64 x 2)))))) (pow.f64 y 2))))
(+.f64 (fma.f64 -1 (/.f64 (exp.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 (-.f64 x (neg.f64 x))))) (/.f64 y x)) (exp.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 (-.f64 x (neg.f64 x)))))) (/.f64 (exp.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 (-.f64 x (neg.f64 x))))) (/.f64 (.f64 y y) (.f64 1/2 (+.f64 (.f64 x x) (.f64 (*.f64 x x) 1))))))
(-.f64 (fma.f64 (/.f64 1 y) (+.f64 x x) (.f64 (/.f64 (.f64 (/.f64 1 y) (+.f64 x x)) y) (/.f64 (.f64 1/2 (fma.f64 x x (.f64 x x))) y))) (/.f64 (*.f64 (/.f64 1 y) (+.f64 x x)) (/.f64 y x)))
(+.f64 (/.f64 2 (pow.f64 (/.f64 y x) 3)) (-.f64 (/.f64 (+.f64 x x) y) (*.f64 (/.f64 x y) (/.f64 (+.f64 x x) y))))
(+.f64 (.f64 -1 (/.f64 (.f64 (exp.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 (-.f64 x (.f64 -1 x))))) x) y)) (+.f64 (exp.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 (-.f64 x (.f64 -1 x))))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 1/6 (+.f64 (.f64 -2 (pow.f64 x 3)) (+.f64 (.f64 -6 (pow.f64 x 3)) (.f64 6 (pow.f64 x 3))))) (.f64 -1/2 (.f64 (+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -1 (pow.f64 x 2))) x)))) (exp.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 (-.f64 x (.f64 -1 x)))))) (pow.f64 y 3)) (/.f64 (.f64 (exp.f64 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 (-.f64 x (.f64 -1 x))))) (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/2 (+.f64 (.f64 2 (pow.f64 x 2)) (*.f64 -1 (pow.f64 x 2)))))) (pow.f64 y 2)))))
(+.f64 (fma.f64 -1 (/.f64 (exp.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 (-.f64 x (neg.f64 x))))) (/.f64 y x)) (exp.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 (-.f64 x (neg.f64 x)))))) (+.f64 (/.f64 (exp.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 (-.f64 x (neg.f64 x))))) (/.f64 (.f64 y y) (.f64 1/2 (+.f64 (.f64 x x) (.f64 (.f64 x x) 1))))) (/.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 1/6 (fma.f64 -2 (pow.f64 x 3) (.f64 (pow.f64 x 3) 0)) (.f64 -1/2 (.f64 x (.f64 (.f64 x x) 1))))) (/.f64 (pow.f64 y 3) (exp.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 (-.f64 x (neg.f64 x)))))))))
(+.f64 (-.f64 (fma.f64 (/.f64 1 y) (+.f64 x x) (.f64 (/.f64 (.f64 (/.f64 1 y) (+.f64 x x)) y) (/.f64 (.f64 1/2 (fma.f64 x x (.f64 x x))) y))) (/.f64 (.f64 (/.f64 1 y) (+.f64 x x)) (/.f64 y x))) (/.f64 (fma.f64 (pow.f64 x 3) -1/6 (fma.f64 (pow.f64 x 3) -1/2 (.f64 -1/3 (pow.f64 x 3)))) (/.f64 (pow.f64 y 3) (*.f64 (/.f64 1 y) (+.f64 x x)))))
(+.f64 (/.f64 (+.f64 x x) y) (-.f64 (.f64 (/.f64 (+.f64 x x) (pow.f64 y 3)) (+.f64 (.f64 x x) (/.f64 (fma.f64 (pow.f64 x 3) -1/6 (.f64 (pow.f64 x 3) -5/6)) y))) (.f64 (/.f64 x y) (/.f64 (+.f64 x x) y))))
(exp.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (-.f64 (*.f64 -1 x) x))))
(exp.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (-.f64 (neg.f64 x) x))))
(.f64 (/.f64 -1 y) (.f64 x -2))
(+.f64 (.f64 -1 (/.f64 (.f64 (exp.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (-.f64 (.f64 -1 x) x)))) x) y)) (exp.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (-.f64 (.f64 -1 x) x)))))
(fma.f64 -1 (/.f64 (exp.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (-.f64 (neg.f64 x) x)))) (/.f64 y x)) (exp.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (-.f64 (neg.f64 x) x)))))
(-.f64 (.f64 (/.f64 -1 y) (.f64 x -2)) (/.f64 (.f64 (.f64 x (/.f64 -1 y)) (*.f64 x -2)) y))
(fma.f64 (/.f64 -1 y) (.f64 x -2) (/.f64 (.f64 (*.f64 x (/.f64 -1 y)) (+.f64 x x)) y))
(+.f64 (/.f64 (.f64 (exp.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (-.f64 (.f64 -1 x) x)))) (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/2 (+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -1 (pow.f64 x 2)))))) (pow.f64 y 2)) (+.f64 (.f64 -1 (/.f64 (.f64 (exp.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (-.f64 (.f64 -1 x) x)))) x) y)) (exp.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (-.f64 (.f64 -1 x) x))))))
(+.f64 (fma.f64 -1 (/.f64 (exp.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (-.f64 (neg.f64 x) x)))) (/.f64 y x)) (exp.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (-.f64 (neg.f64 x) x))))) (/.f64 (exp.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (-.f64 (neg.f64 x) x)))) (/.f64 (.f64 y y) (.f64 1/2 (+.f64 (.f64 x x) (.f64 (*.f64 x x) 1))))))
(+.f64 (-.f64 (.f64 (/.f64 -1 y) (.f64 x -2)) (/.f64 (.f64 (.f64 x (/.f64 -1 y)) (.f64 x -2)) y)) (.f64 (/.f64 (.f64 1/2 (fma.f64 x x (.f64 x x))) y) (/.f64 (.f64 (/.f64 -1 y) (.f64 x -2)) y)))
(+.f64 (.f64 (/.f64 -1 y) (.f64 x -2)) (.f64 (/.f64 (.f64 (/.f64 -1 y) (*.f64 x -2)) y) (-.f64 (/.f64 x (/.f64 y x)) x)))
(+.f64 (/.f64 (.f64 (exp.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (-.f64 (.f64 -1 x) x)))) (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/2 (+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -1 (pow.f64 x 2)))))) (pow.f64 y 2)) (+.f64 (.f64 -1 (/.f64 (.f64 (exp.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (-.f64 (.f64 -1 x) x)))) x) y)) (+.f64 (.f64 -1 (/.f64 (.f64 (exp.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (-.f64 (.f64 -1 x) x)))) (+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/6 (+.f64 (.f64 2 (pow.f64 x 3)) (+.f64 (.f64 6 (pow.f64 x 3)) (.f64 -6 (pow.f64 x 3))))) (.f64 1/2 (.f64 (+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -1 (pow.f64 x 2))) x))))) (pow.f64 y 3))) (exp.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (-.f64 (.f64 -1 x) x)))))))
(+.f64 (/.f64 (exp.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (-.f64 (neg.f64 x) x)))) (/.f64 (.f64 y y) (.f64 1/2 (+.f64 (.f64 x x) (.f64 (.f64 x x) 1))))) (fma.f64 -1 (/.f64 (exp.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (-.f64 (neg.f64 x) x)))) (/.f64 y x)) (fma.f64 -1 (/.f64 (exp.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (-.f64 (neg.f64 x) x)))) (/.f64 (pow.f64 y 3) (fma.f64 1/6 (pow.f64 x 3) (fma.f64 1/6 (fma.f64 2 (pow.f64 x 3) (.f64 (pow.f64 x 3) 0)) (.f64 (.f64 1/2 (.f64 (.f64 x x) 1)) x))))) (exp.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (-.f64 (neg.f64 x) x)))))))
(+.f64 (.f64 (/.f64 (.f64 1/2 (fma.f64 x x (.f64 x x))) y) (/.f64 (.f64 (/.f64 -1 y) (.f64 x -2)) y)) (-.f64 (-.f64 (.f64 (/.f64 -1 y) (.f64 x -2)) (/.f64 (.f64 (/.f64 -1 y) (.f64 x -2)) (/.f64 (pow.f64 y 3) (fma.f64 (pow.f64 x 3) 1/6 (fma.f64 1/2 (pow.f64 x 3) (.f64 (pow.f64 x 3) 1/3)))))) (/.f64 (.f64 (.f64 x (/.f64 -1 y)) (*.f64 x -2)) y)))
(+.f64 (fma.f64 (/.f64 -1 y) (.f64 x -2) (.f64 (/.f64 (.f64 (+.f64 x x) (/.f64 -1 y)) (pow.f64 y 3)) (fma.f64 (pow.f64 x 3) 1/6 (.f64 (pow.f64 x 3) 5/6)))) (.f64 (/.f64 (.f64 (/.f64 -1 y) (*.f64 x -2)) y) (-.f64 (/.f64 x (/.f64 y x)) x)))

eval307.0ms (9.9%)

Compiler: Compiled 14865 to 6006 computations (59.6% saved)

prune99.0ms (3.2%)

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	709	2	711
Fresh	1	1	2
Picked	1	0	1
Done	0	5	5
Total	711	8	719

Error

Counts

719 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	33.0b	(-.f64 (*.f64 2 (/.f64 x y)) 1)
✓	30.2b	(+.f64 1 (*.f64 -2 (/.f64 y x)))
	33.3b	-1
✓	0.0b	(/.f64 (-.f64 x y) (+.f64 x y))
▶	0.1b	(-.f64 (*.f64 x (/.f64 1 (+.f64 x y))) (/.f64 y (+.f64 x y)))
✓	0.0b	(-.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 x y)))
	30.8b	1
✓	0.2b	(*.f64 (/.f64 1 (+.f64 x y)) (-.f64 x y))

Compiler

Compiled 72 to 46 computations (36.1% saved)

localize7.0ms (0.2%)

Local error

Found 8 expressions with local error:

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

series5.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(-.f64 (*.f64 x (/.f64 1 (+.f64 x y))) (/.f64 y (+.f64 x y)))
0.0ms	x	@	0	(*.f64 x (/.f64 1 (+.f64 x y)))
0.0ms	x	@	inf	(-.f64 (*.f64 x (/.f64 1 (+.f64 x y))) (/.f64 y (+.f64 x y)))
0.0ms	y	@	-inf	(*.f64 x (/.f64 1 (+.f64 x y)))
0.0ms	y	@	inf	(-.f64 (*.f64 x (/.f64 1 (+.f64 x y))) (/.f64 y (+.f64 x y)))

rewrite82.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

540×	`log-prod_binary64`
434×	`fma-def_binary64`
382×	`pow-prod-down_binary64`
273×	`pow2_binary64`
241×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	207	17
2	3160	17

Stop Event

1×	node limit

Counts

2 → 218

Calls

Call 1

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

Outputs

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

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

simplify56.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

453×	`fma-def_binary64`
445×	`sub-neg_binary64`
399×	`times-frac_binary64`
341×	`distribute-rgt-neg-in_binary64`
269×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	89	971
1	302	905
2	943	765
3	4605	703

Stop Event

1×	node limit

Counts

266 → 257

Calls

Call 1

Inputs
(/.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)))))
-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)

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

eval134.0ms (4.3%)

Compiler: Compiled 7859 to 2598 computations (66.9% saved)

prune72.0ms (2.3%)

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	374	1	375
Fresh	1	1	2
Picked	0	1	1
Done	0	5	5
Total	375	8	383

Error

Counts

383 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	33.0b	(-.f64 (*.f64 2 (/.f64 x y)) 1)
✓	30.2b	(+.f64 1 (*.f64 -2 (/.f64 y x)))
✓	0.0b	(/.f64 (-.f64 x y) (+.f64 x y))
✓	0.1b	(-.f64 (*.f64 x (/.f64 1 (+.f64 x y))) (/.f64 y (+.f64 x y)))
✓	0.0b	(-.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 x y)))
	30.8b	1
	33.3b	-1
✓	0.2b	(*.f64 (/.f64 1 (+.f64 x y)) (-.f64 x y))

Compiler

Compiled 72 to 46 computations (36.1% saved)

eval0.0ms (0%)

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

prune3.0ms (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
✓	33.0b	(-.f64 (*.f64 2 (/.f64 x y)) 1)
✓	30.2b	(+.f64 1 (*.f64 -2 (/.f64 y x)))
✓	0.0b	(/.f64 (-.f64 x y) (+.f64 x y))
✓	0.1b	(-.f64 (*.f64 x (/.f64 1 (+.f64 x y))) (/.f64 y (+.f64 x y)))
✓	0.0b	(-.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 x y)))
	30.8b	1
	33.3b	-1
✓	0.2b	(*.f64 (/.f64 1 (+.f64 x y)) (-.f64 x y))

Compiler

Compiled 72 to 46 computations (36.1% saved)

regimes23.0ms (0.8%)

Counts

11 → 1

Calls

Call 1

Inputs
-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 (/.f64 1 (+.f64 x y)) (-.f64 x y))
(-.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 x y)))
(-.f64 (*.f64 x (/.f64 1 (+.f64 x y))) (/.f64 y (+.f64 x y)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 x y)))) 1)

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

Calls

4 calls:

7.0ms	y
7.0ms	x
2.0ms	(/.f64 (-.f64 x y) (+.f64 x y))
2.0ms	(/.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 95 to 47 computations (50.5% saved)

regimes30.0ms (1%)

Counts

8 → 1

Calls

Call 1

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

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

Calls

3 calls:

20.0ms	y
6.0ms	x
2.0ms	(/.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 51 to 31 computations (39.2% saved)

regimes71.0ms (2.3%)

Counts

6 → 5

Calls

Call 1

Inputs
-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)

Calls

2 calls:

50.0ms	y
19.0ms	x

Results

Error	Segments	Branch
14.5b	3	`x`
11.7b	5	`y`

Compiler

Compiled 26 to 20 computations (23.1% saved)

bsearch102.0ms (3.3%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
31.0ms	6.078748506667967e+37	5.341935128015411e+43
19.0ms	7.437860450261574e-218	6.467127347911604e-209
34.0ms	2.5829606774030727e-247	1.6524444803651626e-239
17.0ms	-2.222519678424655e-14	-4.097374560438832e-15

Compiler

Compiled 14 to 9 computations (35.7% saved)

regimes42.0ms (1.4%)

Counts

5 → 5

Calls

Call 1

Inputs
-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)

Calls

2 calls:

24.0ms	y
17.0ms	x

Results

Error	Segments	Branch
14.7b	3	`x`
12.1b	5	`y`

Compiler

Compiled 19 to 15 computations (21.1% saved)

bsearch93.0ms (3%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
17.0ms	6.078748506667967e+37	5.341935128015411e+43
22.0ms	7.437860450261574e-218	6.467127347911604e-209
36.0ms	2.5829606774030727e-247	1.6524444803651626e-239
18.0ms	-2.222519678424655e-14	-4.097374560438832e-15

Compiler

Compiled 14 to 9 computations (35.7% saved)

regimes43.0ms (1.4%)

Counts

4 → 5

Calls

Call 1

Inputs
-1
-1
-1
1

Outputs
-1
1
-1
1
-1

Calls

2 calls:

25.0ms	y
18.0ms	x

Results

Error	Segments	Branch
14.9b	3	`x`
12.3b	5	`y`

Compiler

Compiled 12 to 10 computations (16.7% saved)

bsearch111.0ms (3.6%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
21.0ms	6.078748506667967e+37	5.341935128015411e+43
21.0ms	7.437860450261574e-218	6.467127347911604e-209
17.0ms	2.5829606774030727e-247	1.6524444803651626e-239
52.0ms	-2.222519678424655e-14	-4.097374560438832e-15

Compiler

Compiled 14 to 9 computations (35.7% saved)

regimes8.0ms (0.3%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0.0b (-0%)

Counts

3 → 1

Calls

Call 1

Inputs
-1
-1
-1

Outputs
-1

Calls

2 calls:

4.0ms	x
4.0ms	y

Results

Error	Segments	Branch
33.3b	1	`x`
33.3b	1	`y`

Compiler

Compiled 11 to 9 computations (18.2% saved)

simplify7.0ms (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	40	186
1	52	186
2	60	186
3	64	186
4	66	186

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 -7043446010935163/316912650057057350374175801344) (-.f64 (.f64 2 (/.f64 x y)) 1) (if (<=.f64 y 8133435249391297/31488807865122869393368946606905258090427358510263056881902260126273268613620094029570654385546278232018613516882486860685488436192434164121779142526563380772375266790330713043733329634453442159475340420497130656489612358376476868321800047085704593449207459741696) (+.f64 1 (.f64 -2 (/.f64 y x))) (if (<=.f64 y 3695172133452477/49680578953622685924767343630800081768220352547734291556449665216833630485964060362588109082516687294415607382308194342597490561411674060526217192801317796454542559232667196977608489140211150234408415974198927000028571099322113851392) (-.f64 (.f64 2 (/.f64 x y)) 1) (if (<=.f64 y 60787485066679667109138754740737277952) (+.f64 1 (.f64 -2 (/.f64 y x))) (-.f64 (*.f64 2 (/.f64 x y)) 1)))))
(if (<=.f64 y -7043446010935163/316912650057057350374175801344) (-.f64 (.f64 2 (/.f64 x y)) 1) (if (<=.f64 y 8133435249391297/31488807865122869393368946606905258090427358510263056881902260126273268613620094029570654385546278232018613516882486860685488436192434164121779142526563380772375266790330713043733329634453442159475340420497130656489612358376476868321800047085704593449207459741696) 1 (if (<=.f64 y 3695172133452477/49680578953622685924767343630800081768220352547734291556449665216833630485964060362588109082516687294415607382308194342597490561411674060526217192801317796454542559232667196977608489140211150234408415974198927000028571099322113851392) (-.f64 (.f64 2 (/.f64 x y)) 1) (if (<=.f64 y 60787485066679667109138754740737277952) 1 (-.f64 (*.f64 2 (/.f64 x y)) 1)))))
(if (<=.f64 y -7043446010935163/316912650057057350374175801344) -1 (if (<=.f64 y 8133435249391297/31488807865122869393368946606905258090427358510263056881902260126273268613620094029570654385546278232018613516882486860685488436192434164121779142526563380772375266790330713043733329634453442159475340420497130656489612358376476868321800047085704593449207459741696) 1 (if (<=.f64 y 3695172133452477/49680578953622685924767343630800081768220352547734291556449665216833630485964060362588109082516687294415607382308194342597490561411674060526217192801317796454542559232667196977608489140211150234408415974198927000028571099322113851392) -1 (if (<=.f64 y 60787485066679667109138754740737277952) 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 -7043446010935163/316912650057057350374175801344) (-.f64 (.f64 2 (/.f64 x y)) 1) (if (<=.f64 y 8133435249391297/31488807865122869393368946606905258090427358510263056881902260126273268613620094029570654385546278232018613516882486860685488436192434164121779142526563380772375266790330713043733329634453442159475340420497130656489612358376476868321800047085704593449207459741696) (+.f64 1 (.f64 -2 (/.f64 y x))) (if (<=.f64 y 3695172133452477/49680578953622685924767343630800081768220352547734291556449665216833630485964060362588109082516687294415607382308194342597490561411674060526217192801317796454542559232667196977608489140211150234408415974198927000028571099322113851392) (-.f64 (.f64 2 (/.f64 x y)) 1) (if (<=.f64 y 60787485066679667109138754740737277952) (+.f64 1 (.f64 -2 (/.f64 y x))) (-.f64 (*.f64 2 (/.f64 x y)) 1)))))
(if (<=.f64 y -7043446010935163/316912650057057350374175801344) (+.f64 (.f64 2 (/.f64 x y)) -1) (if (<=.f64 y 8133435249391297/31488807865122869393368946606905258090427358510263056881902260126273268613620094029570654385546278232018613516882486860685488436192434164121779142526563380772375266790330713043733329634453442159475340420497130656489612358376476868321800047085704593449207459741696) (+.f64 1 (.f64 -2 (/.f64 y x))) (if (<=.f64 y 3695172133452477/49680578953622685924767343630800081768220352547734291556449665216833630485964060362588109082516687294415607382308194342597490561411674060526217192801317796454542559232667196977608489140211150234408415974198927000028571099322113851392) (+.f64 (.f64 2 (/.f64 x y)) -1) (if (<=.f64 y 60787485066679667109138754740737277952) (+.f64 1 (.f64 -2 (/.f64 y x))) (+.f64 (*.f64 2 (/.f64 x y)) -1)))))
(if (<=.f64 y -7043446010935163/316912650057057350374175801344) (-.f64 (.f64 2 (/.f64 x y)) 1) (if (<=.f64 y 8133435249391297/31488807865122869393368946606905258090427358510263056881902260126273268613620094029570654385546278232018613516882486860685488436192434164121779142526563380772375266790330713043733329634453442159475340420497130656489612358376476868321800047085704593449207459741696) 1 (if (<=.f64 y 3695172133452477/49680578953622685924767343630800081768220352547734291556449665216833630485964060362588109082516687294415607382308194342597490561411674060526217192801317796454542559232667196977608489140211150234408415974198927000028571099322113851392) (-.f64 (.f64 2 (/.f64 x y)) 1) (if (<=.f64 y 60787485066679667109138754740737277952) 1 (-.f64 (*.f64 2 (/.f64 x y)) 1)))))
(if (<=.f64 y -7043446010935163/316912650057057350374175801344) (+.f64 (.f64 2 (/.f64 x y)) -1) (if (<=.f64 y 8133435249391297/31488807865122869393368946606905258090427358510263056881902260126273268613620094029570654385546278232018613516882486860685488436192434164121779142526563380772375266790330713043733329634453442159475340420497130656489612358376476868321800047085704593449207459741696) 1 (if (<=.f64 y 3695172133452477/49680578953622685924767343630800081768220352547734291556449665216833630485964060362588109082516687294415607382308194342597490561411674060526217192801317796454542559232667196977608489140211150234408415974198927000028571099322113851392) (+.f64 (.f64 2 (/.f64 x y)) -1) (if (<=.f64 y 60787485066679667109138754740737277952) 1 (+.f64 (*.f64 2 (/.f64 x y)) -1)))))
(if (<=.f64 y -7043446010935163/316912650057057350374175801344) -1 (if (<=.f64 y 8133435249391297/31488807865122869393368946606905258090427358510263056881902260126273268613620094029570654385546278232018613516882486860685488436192434164121779142526563380772375266790330713043733329634453442159475340420497130656489612358376476868321800047085704593449207459741696) 1 (if (<=.f64 y 3695172133452477/49680578953622685924767343630800081768220352547734291556449665216833630485964060362588109082516687294415607382308194342597490561411674060526217192801317796454542559232667196977608489140211150234408415974198927000028571099322113851392) -1 (if (<=.f64 y 60787485066679667109138754740737277952) 1 -1))))
-1

end81.0ms (2.6%)

Stop Event

1×

fuel

Compiler

Compiled 274 to 184 computations (32.8% saved)

Details

analyze90.0ms (2.9%)

sample836.0ms (26.9%)

preprocess69.0ms (2.2%)

simplify52.0ms (1.7%)

eval0.0ms (0%)

prune1.0ms (0%)

localize4.0ms (0.1%)

series5.0ms (0.1%)

rewrite52.0ms (1.7%)

simplify43.0ms (1.4%)

eval13.0ms (0.4%)

prune15.0ms (0.5%)

localize5.0ms (0.2%)

series9.0ms (0.3%)

rewrite98.0ms (3.1%)

simplify67.0ms (2.2%)

localize10.0ms (0.3%)

localize4.0ms (0.1%)

series4.0ms (0.1%)

rewrite41.0ms (1.3%)

simplify7.0ms (0.2%)

localize5.0ms (0.2%)

series5.0ms (0.2%)

rewrite54.0ms (1.7%)

simplify54.0ms (1.8%)

localize8.0ms (0.3%)

series14.0ms (0.4%)

rewrite58.0ms (1.9%)

simplify105.0ms (3.4%)

eval307.0ms (9.9%)

prune99.0ms (3.2%)

localize7.0ms (0.2%)

series5.0ms (0.1%)

rewrite82.0ms (2.6%)

simplify56.0ms (1.8%)

eval134.0ms (4.3%)

prune72.0ms (2.3%)

eval0.0ms (0%)

prune3.0ms (0.1%)

regimes23.0ms (0.8%)

regimes30.0ms (1%)

regimes71.0ms (2.3%)

bsearch102.0ms (3.3%)

regimes42.0ms (1.4%)

bsearch93.0ms (3%)

regimes43.0ms (1.4%)

bsearch111.0ms (3.6%)

regimes8.0ms (0.3%)

simplify7.0ms (0.2%)

end81.0ms (2.6%)

Profiling