Details

analyze155.0ms (9.4%)

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
90.8%	9.1%	0.1%	13
93%	6.9%	0.1%	14

Compiler

Compiled 10 to 6 computations (40% saved)

sample699.0ms (42.6%)

Results

687.0ms

8256×

body

128

valid

Compiler

Compiled 20 to 12 computations (40% saved)

preprocess61.0ms (3.7%)

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
0	2	2

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs
(/.f64 (-.f64 x 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 9 to 5 computations (44.4% saved)

simplify52.0ms (3.2%)

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))

prune1.0ms (0.1%)

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

Status	Error	Program
▶	0.0b	(/.f64 (-.f64 x y) (+.f64 x y))

Compiler

Compiled 27 to 15 computations (44.4% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series4.0ms (0.2%)

Counts

1 → 24

Calls

6 calls:

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

rewrite45.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

898×	`log1p-expm1-u_binary64`
898×	`expm1-log1p-u_binary64`
78×	`add-sqr-sqrt_binary64`
77×	`*-un-lft-identity_binary64`
77×	`pow1_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 → 37

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 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 log1p.f64 (expm1.f64 (/.f64 (-.f64 x y) (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.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 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 log1p.f64 (expm1.f64 (/.f64 (-.f64 x y) (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 x y))))))))

simplify27.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

827×	`associate-/l*_binary64`
531×	`fma-def_binary64`
454×	`cancel-sign-sub-inv_binary64`
412×	`associate-/r/_binary64`
334×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	33	414
1	109	408
2	348	366
3	1439	324

Stop Event

1×	node limit

Counts

61 → 51

Calls

Call 1

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

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

prune39.0ms (2.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	48	3	51
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	48	4	52

Error

Counts

52 → 4

Alt Table

Status	Error	Program
	30.1b	(fma.f64 2 (/.f64 x y) -1)
✓	0.0b	(/.f64 (-.f64 x y) (+.f64 x y))
▶	0.1b	(*.f64 (cbrt.f64 (/.f64 (-.f64 x y) (+.f64 x y))) (cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 2)))
	33.5b	(fma.f64 2 (*.f64 (/.f64 y x) (+.f64 (/.f64 y x) -1)) 1)

Compiler

Compiled 755 to 309 computations (59.1% saved)

localize11.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(/.f64 (-.f64 x y) (+.f64 x y))
✓	0.1b	(cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 2))
✓	0.1b	(cbrt.f64 (/.f64 (-.f64 x y) (+.f64 x y)))
✓	0.1b	(pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 2)

series28.0ms (1.7%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
6.0ms	x	@	-inf	(cbrt.f64 (/.f64 (-.f64 x y) (+.f64 x y)))
5.0ms	x	@	0	(cbrt.f64 (/.f64 (-.f64 x y) (+.f64 x y)))
3.0ms	y	@	inf	(cbrt.f64 (/.f64 (-.f64 x y) (+.f64 x y)))
3.0ms	x	@	inf	(cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 2))
2.0ms	y	@	-inf	(cbrt.f64 (/.f64 (-.f64 x y) (+.f64 x y)))

rewrite61.0ms (3.7%)

Algorithm

1×	batch-egg-rewrite

Rules

768×	`prod-diff_binary64`
188×	`log1p-udef_binary64`
111×	`add-sqr-sqrt_binary64`
108×	`pow1_binary64`
107×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	40
1	223	40
2	3063	40

Stop Event

1×	node limit

Counts

3 → 98

Calls

Call 1

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

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

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

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

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

simplify46.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

660×	`associate-/l*_binary64`
526×	`associate-/r*_binary64`
496×	`fma-def_binary64`
365×	`cancel-sign-sub-inv_binary64`
121×	`sub-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	132	1939
1	441	1915
2	1727	1651

Stop Event

1×	node limit

Counts

170 → 143

Calls

Call 1

Inputs
1
(-.f64 1 (*.f64 4 (/.f64 x y)))
(-.f64 (+.f64 1 (.f64 8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) (.f64 4 (/.f64 x y)))
(-.f64 (+.f64 1 (.f64 8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) (+.f64 (.f64 4 (/.f64 x y)) (*.f64 12 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
1
(-.f64 1 (*.f64 4 (/.f64 y x)))
(-.f64 (+.f64 (.f64 8 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) 1) (.f64 4 (/.f64 y x)))
(-.f64 (+.f64 (.f64 8 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) 1) (+.f64 (.f64 4 (/.f64 y x)) (*.f64 12 (/.f64 (pow.f64 y 3) (pow.f64 x 3)))))
1
(-.f64 1 (*.f64 4 (/.f64 y x)))
(-.f64 (+.f64 (.f64 8 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) 1) (.f64 4 (/.f64 y x)))
(-.f64 (+.f64 (.f64 8 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) 1) (+.f64 (.f64 4 (/.f64 y x)) (*.f64 12 (/.f64 (pow.f64 y 3) (pow.f64 x 3)))))
1
(-.f64 1 (*.f64 4 (/.f64 y x)))
(-.f64 (+.f64 (.f64 8 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) 1) (.f64 4 (/.f64 y x)))
(-.f64 (+.f64 (.f64 8 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) 1) (+.f64 (.f64 4 (/.f64 y x)) (*.f64 12 (/.f64 (pow.f64 y 3) (pow.f64 x 3)))))
1
(-.f64 1 (*.f64 4 (/.f64 x y)))
(-.f64 (+.f64 1 (.f64 8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) (.f64 4 (/.f64 x y)))
(-.f64 (+.f64 1 (.f64 8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) (+.f64 (.f64 4 (/.f64 x y)) (*.f64 12 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
1
(-.f64 1 (*.f64 4 (/.f64 x y)))
(-.f64 (+.f64 1 (.f64 8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) (.f64 4 (/.f64 x y)))
(-.f64 (+.f64 1 (.f64 8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) (+.f64 (.f64 4 (/.f64 x y)) (*.f64 12 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(cbrt.f64 -1)
(+.f64 (.f64 2/3 (.f64 (/.f64 x y) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3))) (cbrt.f64 -1))
(-.f64 (+.f64 (.f64 2/3 (.f64 (/.f64 x y) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3))) (cbrt.f64 -1)) (+.f64 (.f64 4/9 (.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7)) 1/3))) (.f64 2/3 (/.f64 (pow.f64 x 2) (.f64 (pow.f64 y 2) (pow.f64 (cbrt.f64 -1) 2))))))
(-.f64 (+.f64 (.f64 2/3 (.f64 (/.f64 x y) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3))) (+.f64 (.f64 2/3 (/.f64 (pow.f64 x 3) (.f64 (pow.f64 y 3) (pow.f64 (cbrt.f64 -1) 2)))) (+.f64 (cbrt.f64 -1) (+.f64 (.f64 40/81 (/.f64 (pow.f64 x 3) (.f64 (pow.f64 y 3) (pow.f64 (cbrt.f64 -1) 4)))) (.f64 8/9 (.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 11)) 1/3))))))) (+.f64 (.f64 4/9 (.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7)) 1/3))) (.f64 2/3 (/.f64 (pow.f64 x 2) (.f64 (pow.f64 y 2) (pow.f64 (cbrt.f64 -1) 2))))))
1
(-.f64 1 (*.f64 2/3 (/.f64 y x)))
(-.f64 (+.f64 (.f64 2/9 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) 1) (.f64 2/3 (/.f64 y x)))
(-.f64 (+.f64 (.f64 2/9 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) 1) (+.f64 (.f64 2/3 (/.f64 y x)) (*.f64 22/81 (/.f64 (pow.f64 y 3) (pow.f64 x 3)))))
(pow.f64 (cbrt.f64 -1) 2)
(+.f64 (.f64 2/3 (.f64 (/.f64 y x) (pow.f64 (cbrt.f64 -1) 1/3))) (pow.f64 (cbrt.f64 -1) 2))
(-.f64 (+.f64 (.f64 2/3 (.f64 (/.f64 y x) (pow.f64 (cbrt.f64 -1) 1/3))) (pow.f64 (cbrt.f64 -1) 2)) (+.f64 (.f64 4/9 (.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))) (.f64 2/3 (/.f64 (pow.f64 y 2) (.f64 (cbrt.f64 -1) (pow.f64 x 2))))))
(-.f64 (+.f64 (.f64 8/9 (.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 8)) 1/3))) (+.f64 (.f64 2/3 (/.f64 (pow.f64 y 3) (.f64 (cbrt.f64 -1) (pow.f64 x 3)))) (+.f64 (.f64 2/3 (.f64 (/.f64 y x) (pow.f64 (cbrt.f64 -1) 1/3))) (pow.f64 (cbrt.f64 -1) 2)))) (+.f64 (.f64 4/9 (.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))) (+.f64 (.f64 2/3 (/.f64 (pow.f64 y 2) (.f64 (cbrt.f64 -1) (pow.f64 x 2)))) (*.f64 40/81 (/.f64 (pow.f64 y 3) (pow.f64 x 3))))))
1
(-.f64 1 (*.f64 2/3 (/.f64 y x)))
(-.f64 (+.f64 (.f64 2/9 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) 1) (.f64 2/3 (/.f64 y x)))
(-.f64 (+.f64 (.f64 2/9 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) 1) (+.f64 (.f64 2/3 (/.f64 y x)) (*.f64 22/81 (/.f64 (pow.f64 y 3) (pow.f64 x 3)))))
(cbrt.f64 -1)
(+.f64 (.f64 2/3 (.f64 (/.f64 x y) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3))) (cbrt.f64 -1))
(-.f64 (+.f64 (.f64 2/3 (.f64 (/.f64 x y) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3))) (cbrt.f64 -1)) (+.f64 (.f64 4/9 (.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7)) 1/3))) (.f64 2/3 (/.f64 (pow.f64 x 2) (.f64 (pow.f64 y 2) (pow.f64 (cbrt.f64 -1) 2))))))
(-.f64 (+.f64 (.f64 2/3 (.f64 (/.f64 x y) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3))) (+.f64 (.f64 2/3 (/.f64 (pow.f64 x 3) (.f64 (pow.f64 y 3) (pow.f64 (cbrt.f64 -1) 2)))) (+.f64 (cbrt.f64 -1) (+.f64 (.f64 40/81 (/.f64 (pow.f64 x 3) (.f64 (pow.f64 y 3) (pow.f64 (cbrt.f64 -1) 4)))) (.f64 8/9 (.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 11)) 1/3))))))) (+.f64 (.f64 4/9 (.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7)) 1/3))) (.f64 2/3 (/.f64 (pow.f64 x 2) (.f64 (pow.f64 y 2) (pow.f64 (cbrt.f64 -1) 2))))))
(cbrt.f64 -1)
(+.f64 (.f64 2/3 (.f64 (/.f64 x y) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3))) (cbrt.f64 -1))
(-.f64 (+.f64 (.f64 2/3 (.f64 (/.f64 x y) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3))) (cbrt.f64 -1)) (+.f64 (.f64 4/9 (.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7)) 1/3))) (.f64 2/3 (/.f64 (pow.f64 x 2) (.f64 (pow.f64 y 2) (pow.f64 (cbrt.f64 -1) 2))))))
(-.f64 (+.f64 (.f64 2/3 (.f64 (/.f64 x y) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3))) (+.f64 (.f64 2/3 (/.f64 (pow.f64 x 3) (.f64 (pow.f64 y 3) (pow.f64 (cbrt.f64 -1) 2)))) (+.f64 (cbrt.f64 -1) (+.f64 (.f64 40/81 (/.f64 (pow.f64 x 3) (.f64 (pow.f64 y 3) (pow.f64 (cbrt.f64 -1) 4)))) (.f64 8/9 (.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 11)) 1/3))))))) (+.f64 (.f64 4/9 (.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7)) 1/3))) (.f64 2/3 (/.f64 (pow.f64 x 2) (.f64 (pow.f64 y 2) (pow.f64 (cbrt.f64 -1) 2))))))
1
(-.f64 1 (*.f64 4/3 (/.f64 x y)))
(-.f64 (+.f64 1 (.f64 8/9 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) (.f64 4/3 (/.f64 x y)))
(-.f64 (+.f64 1 (.f64 8/9 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) (+.f64 (.f64 4/3 (/.f64 x y)) (*.f64 68/81 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
1
(-.f64 1 (*.f64 4/3 (/.f64 y x)))
(-.f64 (+.f64 (.f64 8/9 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) 1) (.f64 4/3 (/.f64 y x)))
(-.f64 (+.f64 (.f64 8/9 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) 1) (+.f64 (.f64 4/3 (/.f64 y x)) (*.f64 68/81 (/.f64 (pow.f64 y 3) (pow.f64 x 3)))))
1
(-.f64 1 (*.f64 4/3 (/.f64 y x)))
(-.f64 (+.f64 (.f64 8/9 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) 1) (.f64 4/3 (/.f64 y x)))
(-.f64 (+.f64 (.f64 8/9 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) 1) (+.f64 (.f64 4/3 (/.f64 y x)) (*.f64 68/81 (/.f64 (pow.f64 y 3) (pow.f64 x 3)))))
1
(-.f64 1 (*.f64 4/3 (/.f64 y x)))
(-.f64 (+.f64 (.f64 8/9 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) 1) (.f64 4/3 (/.f64 y x)))
(-.f64 (+.f64 (.f64 8/9 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) 1) (+.f64 (.f64 4/3 (/.f64 y x)) (*.f64 68/81 (/.f64 (pow.f64 y 3) (pow.f64 x 3)))))
1
(-.f64 1 (*.f64 4/3 (/.f64 x y)))
(-.f64 (+.f64 1 (.f64 8/9 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) (.f64 4/3 (/.f64 x y)))
(-.f64 (+.f64 1 (.f64 8/9 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) (+.f64 (.f64 4/3 (/.f64 x y)) (*.f64 68/81 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
1
(-.f64 1 (*.f64 4/3 (/.f64 x y)))
(-.f64 (+.f64 1 (.f64 8/9 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) (.f64 4/3 (/.f64 x y)))
(-.f64 (+.f64 1 (.f64 8/9 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) (+.f64 (.f64 4/3 (/.f64 x y)) (*.f64 68/81 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))

Outputs
1
(-.f64 1 (*.f64 4 (/.f64 x y)))
(+.f64 1 (*.f64 -4 (/.f64 x y)))
(+.f64 1 (/.f64 (*.f64 -4 x) y))
(fma.f64 (/.f64 x y) -4 1)
(-.f64 (+.f64 1 (.f64 8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) (.f64 4 (/.f64 x y)))
(+.f64 1 (-.f64 (.f64 8 (/.f64 (.f64 x x) (.f64 y y))) (.f64 4 (/.f64 x y))))
(+.f64 1 (fma.f64 8 (.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (.f64 -4 x) y)))
(fma.f64 (/.f64 x y) -4 (fma.f64 8 (*.f64 (/.f64 x y) (/.f64 x y)) 1))
(-.f64 (+.f64 1 (.f64 8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) (+.f64 (.f64 4 (/.f64 x y)) (*.f64 12 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(-.f64 (+.f64 1 (.f64 8 (/.f64 (.f64 x x) (.f64 y y)))) (fma.f64 4 (/.f64 x y) (.f64 12 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(-.f64 (fma.f64 8 (.f64 (/.f64 x y) (/.f64 x y)) 1) (fma.f64 12 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (.f64 4 (/.f64 x y))))
(+.f64 1 (fma.f64 8 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 (/.f64 x y) -4 (/.f64 -12 (pow.f64 (/.f64 y x) 3)))))
1
(-.f64 1 (*.f64 4 (/.f64 y x)))
(+.f64 1 (*.f64 -4 (/.f64 y x)))
(-.f64 1 (/.f64 (*.f64 4 y) x))
(fma.f64 (/.f64 y x) -4 1)
(-.f64 (+.f64 (.f64 8 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) 1) (.f64 4 (/.f64 y x)))
(+.f64 (fma.f64 8 (/.f64 (.f64 y y) (.f64 x x)) 1) (*.f64 -4 (/.f64 y x)))
(+.f64 (fma.f64 8 (/.f64 (/.f64 (.f64 y y) x) x) 1) (.f64 (/.f64 y x) -4))
(fma.f64 8 (/.f64 (.f64 y y) (.f64 x x)) (fma.f64 (/.f64 y x) -4 1))
(-.f64 (+.f64 (.f64 8 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) 1) (+.f64 (.f64 4 (/.f64 y x)) (*.f64 12 (/.f64 (pow.f64 y 3) (pow.f64 x 3)))))
(-.f64 (fma.f64 8 (/.f64 (.f64 y y) (.f64 x x)) 1) (fma.f64 4 (/.f64 y x) (*.f64 12 (/.f64 (pow.f64 y 3) (pow.f64 x 3)))))
(-.f64 (fma.f64 8 (/.f64 (/.f64 (.f64 y y) x) x) 1) (fma.f64 4 (/.f64 y x) (/.f64 (.f64 12 (pow.f64 y 3)) (pow.f64 x 3))))
(+.f64 (fma.f64 8 (/.f64 (.f64 y y) (.f64 x x)) 1) (fma.f64 (/.f64 y x) -4 (*.f64 (pow.f64 (/.f64 y x) 3) -12)))
1
(-.f64 1 (*.f64 4 (/.f64 y x)))
(+.f64 1 (*.f64 -4 (/.f64 y x)))
(-.f64 1 (/.f64 (*.f64 4 y) x))
(fma.f64 (/.f64 y x) -4 1)
(-.f64 (+.f64 (.f64 8 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) 1) (.f64 4 (/.f64 y x)))
(+.f64 (fma.f64 8 (/.f64 (.f64 y y) (.f64 x x)) 1) (*.f64 -4 (/.f64 y x)))
(+.f64 (fma.f64 8 (/.f64 (/.f64 (.f64 y y) x) x) 1) (.f64 (/.f64 y x) -4))
(fma.f64 8 (/.f64 (.f64 y y) (.f64 x x)) (fma.f64 (/.f64 y x) -4 1))
(-.f64 (+.f64 (.f64 8 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) 1) (+.f64 (.f64 4 (/.f64 y x)) (*.f64 12 (/.f64 (pow.f64 y 3) (pow.f64 x 3)))))
(-.f64 (fma.f64 8 (/.f64 (.f64 y y) (.f64 x x)) 1) (fma.f64 4 (/.f64 y x) (*.f64 12 (/.f64 (pow.f64 y 3) (pow.f64 x 3)))))
(-.f64 (fma.f64 8 (/.f64 (/.f64 (.f64 y y) x) x) 1) (fma.f64 4 (/.f64 y x) (/.f64 (.f64 12 (pow.f64 y 3)) (pow.f64 x 3))))
(+.f64 (fma.f64 8 (/.f64 (.f64 y y) (.f64 x x)) 1) (fma.f64 (/.f64 y x) -4 (*.f64 (pow.f64 (/.f64 y x) 3) -12)))
1
(-.f64 1 (*.f64 4 (/.f64 y x)))
(+.f64 1 (*.f64 -4 (/.f64 y x)))
(-.f64 1 (/.f64 (*.f64 4 y) x))
(fma.f64 (/.f64 y x) -4 1)
(-.f64 (+.f64 (.f64 8 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) 1) (.f64 4 (/.f64 y x)))
(+.f64 (fma.f64 8 (/.f64 (.f64 y y) (.f64 x x)) 1) (*.f64 -4 (/.f64 y x)))
(+.f64 (fma.f64 8 (/.f64 (/.f64 (.f64 y y) x) x) 1) (.f64 (/.f64 y x) -4))
(fma.f64 8 (/.f64 (.f64 y y) (.f64 x x)) (fma.f64 (/.f64 y x) -4 1))
(-.f64 (+.f64 (.f64 8 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) 1) (+.f64 (.f64 4 (/.f64 y x)) (*.f64 12 (/.f64 (pow.f64 y 3) (pow.f64 x 3)))))
(-.f64 (fma.f64 8 (/.f64 (.f64 y y) (.f64 x x)) 1) (fma.f64 4 (/.f64 y x) (*.f64 12 (/.f64 (pow.f64 y 3) (pow.f64 x 3)))))
(-.f64 (fma.f64 8 (/.f64 (/.f64 (.f64 y y) x) x) 1) (fma.f64 4 (/.f64 y x) (/.f64 (.f64 12 (pow.f64 y 3)) (pow.f64 x 3))))
(+.f64 (fma.f64 8 (/.f64 (.f64 y y) (.f64 x x)) 1) (fma.f64 (/.f64 y x) -4 (*.f64 (pow.f64 (/.f64 y x) 3) -12)))
1
(-.f64 1 (*.f64 4 (/.f64 x y)))
(+.f64 1 (*.f64 -4 (/.f64 x y)))
(+.f64 1 (/.f64 (*.f64 -4 x) y))
(fma.f64 (/.f64 x y) -4 1)
(-.f64 (+.f64 1 (.f64 8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) (.f64 4 (/.f64 x y)))
(+.f64 1 (-.f64 (.f64 8 (/.f64 (.f64 x x) (.f64 y y))) (.f64 4 (/.f64 x y))))
(+.f64 1 (fma.f64 8 (.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (.f64 -4 x) y)))
(fma.f64 (/.f64 x y) -4 (fma.f64 8 (*.f64 (/.f64 x y) (/.f64 x y)) 1))
(-.f64 (+.f64 1 (.f64 8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) (+.f64 (.f64 4 (/.f64 x y)) (*.f64 12 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(-.f64 (+.f64 1 (.f64 8 (/.f64 (.f64 x x) (.f64 y y)))) (fma.f64 4 (/.f64 x y) (.f64 12 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(-.f64 (fma.f64 8 (.f64 (/.f64 x y) (/.f64 x y)) 1) (fma.f64 12 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (.f64 4 (/.f64 x y))))
(+.f64 1 (fma.f64 8 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 (/.f64 x y) -4 (/.f64 -12 (pow.f64 (/.f64 y x) 3)))))
1
(-.f64 1 (*.f64 4 (/.f64 x y)))
(+.f64 1 (*.f64 -4 (/.f64 x y)))
(+.f64 1 (/.f64 (*.f64 -4 x) y))
(fma.f64 (/.f64 x y) -4 1)
(-.f64 (+.f64 1 (.f64 8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) (.f64 4 (/.f64 x y)))
(+.f64 1 (-.f64 (.f64 8 (/.f64 (.f64 x x) (.f64 y y))) (.f64 4 (/.f64 x y))))
(+.f64 1 (fma.f64 8 (.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (.f64 -4 x) y)))
(fma.f64 (/.f64 x y) -4 (fma.f64 8 (*.f64 (/.f64 x y) (/.f64 x y)) 1))
(-.f64 (+.f64 1 (.f64 8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) (+.f64 (.f64 4 (/.f64 x y)) (*.f64 12 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(-.f64 (+.f64 1 (.f64 8 (/.f64 (.f64 x x) (.f64 y y)))) (fma.f64 4 (/.f64 x y) (.f64 12 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(-.f64 (fma.f64 8 (.f64 (/.f64 x y) (/.f64 x y)) 1) (fma.f64 12 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (.f64 4 (/.f64 x y))))
(+.f64 1 (fma.f64 8 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 (/.f64 x y) -4 (/.f64 -12 (pow.f64 (/.f64 y x) 3)))))
(cbrt.f64 -1)
(+.f64 (.f64 2/3 (.f64 (/.f64 x y) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3))) (cbrt.f64 -1))
(fma.f64 2/3 (*.f64 (/.f64 x y) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) (cbrt.f64 -1))
(fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (*.f64 (/.f64 x y) 2/3) (cbrt.f64 -1))
(-.f64 (+.f64 (.f64 2/3 (.f64 (/.f64 x y) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3))) (cbrt.f64 -1)) (+.f64 (.f64 4/9 (.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7)) 1/3))) (.f64 2/3 (/.f64 (pow.f64 x 2) (.f64 (pow.f64 y 2) (pow.f64 (cbrt.f64 -1) 2))))))
(-.f64 (fma.f64 2/3 (.f64 (/.f64 x y) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) (cbrt.f64 -1)) (fma.f64 4/9 (.f64 (/.f64 (.f64 x x) (.f64 y y)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7)))) (.f64 2/3 (/.f64 (.f64 x x) (.f64 (.f64 y y) (pow.f64 (cbrt.f64 -1) 2))))))
(-.f64 (fma.f64 2/3 (.f64 (/.f64 x y) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) (cbrt.f64 -1)) (fma.f64 2/3 (.f64 (/.f64 x (pow.f64 (cbrt.f64 -1) 2)) (/.f64 x (.f64 y y))) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7))) (.f64 (.f64 (/.f64 x y) (/.f64 x y)) 4/9))))
(-.f64 (fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (.f64 (/.f64 x y) 2/3) (cbrt.f64 -1)) (.f64 (.f64 (/.f64 x y) (/.f64 x y)) (+.f64 (.f64 4/9 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7)))) (/.f64 2/3 (pow.f64 (cbrt.f64 -1) 2)))))
(-.f64 (+.f64 (.f64 2/3 (.f64 (/.f64 x y) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3))) (+.f64 (.f64 2/3 (/.f64 (pow.f64 x 3) (.f64 (pow.f64 y 3) (pow.f64 (cbrt.f64 -1) 2)))) (+.f64 (cbrt.f64 -1) (+.f64 (.f64 40/81 (/.f64 (pow.f64 x 3) (.f64 (pow.f64 y 3) (pow.f64 (cbrt.f64 -1) 4)))) (.f64 8/9 (.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 11)) 1/3))))))) (+.f64 (.f64 4/9 (.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7)) 1/3))) (.f64 2/3 (/.f64 (pow.f64 x 2) (.f64 (pow.f64 y 2) (pow.f64 (cbrt.f64 -1) 2))))))
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(-.f64 (+.f64 (fma.f64 2/3 (fma.f64 (/.f64 x y) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (/.f64 (pow.f64 (/.f64 x y) 3) (pow.f64 (cbrt.f64 -1) 2))) (.f64 (pow.f64 (/.f64 x y) 3) (+.f64 (/.f64 -40/81 (cbrt.f64 -1)) (.f64 8/9 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 11))))))) (cbrt.f64 -1)) (.f64 (.f64 (/.f64 x y) (/.f64 x y)) (+.f64 (*.f64 4/9 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7)))) (/.f64 2/3 (pow.f64 (cbrt.f64 -1) 2)))))
1
(-.f64 1 (*.f64 4/3 (/.f64 x y)))
(-.f64 1 (*.f64 (/.f64 x y) 4/3))
(+.f64 1 (*.f64 (/.f64 x y) -4/3))
(fma.f64 (/.f64 x y) -4/3 1)
(-.f64 (+.f64 1 (.f64 8/9 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) (.f64 4/3 (/.f64 x y)))
(+.f64 1 (-.f64 (.f64 (/.f64 (.f64 x x) (.f64 y y)) 8/9) (.f64 (/.f64 x y) 4/3)))
(+.f64 1 (fma.f64 (.f64 (/.f64 x y) (/.f64 x y)) 8/9 (.f64 (/.f64 x y) -4/3)))
(fma.f64 (/.f64 x y) -4/3 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 8/9 1))
(-.f64 (+.f64 1 (.f64 8/9 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) (+.f64 (.f64 4/3 (/.f64 x y)) (*.f64 68/81 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(-.f64 (+.f64 1 (.f64 (/.f64 (.f64 x x) (.f64 y y)) 8/9)) (fma.f64 4/3 (/.f64 x y) (.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) 68/81)))
(-.f64 (fma.f64 (.f64 (/.f64 x y) (/.f64 x y)) 8/9 1) (fma.f64 (/.f64 x y) 4/3 (.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) 68/81)))
(+.f64 (fma.f64 (.f64 (/.f64 x y) (/.f64 x y)) 8/9 1) (fma.f64 (/.f64 x y) -4/3 (.f64 (pow.f64 (/.f64 x y) 3) -68/81)))
1
(-.f64 1 (*.f64 4/3 (/.f64 y x)))
(-.f64 1 (*.f64 (/.f64 y x) 4/3))
(-.f64 1 (/.f64 (*.f64 y 4/3) x))
(fma.f64 (/.f64 y x) -4/3 1)
(-.f64 (+.f64 (.f64 8/9 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) 1) (.f64 4/3 (/.f64 y x)))
(+.f64 (fma.f64 8/9 (/.f64 (.f64 y y) (.f64 x x)) 1) (*.f64 -4/3 (/.f64 y x)))
(-.f64 (fma.f64 (/.f64 (/.f64 (.f64 y y) x) x) 8/9 1) (/.f64 (.f64 y 4/3) x))
(fma.f64 (/.f64 y x) -4/3 (fma.f64 (/.f64 (.f64 y y) (.f64 x x)) 8/9 1))
(-.f64 (+.f64 (.f64 8/9 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) 1) (+.f64 (.f64 4/3 (/.f64 y x)) (*.f64 68/81 (/.f64 (pow.f64 y 3) (pow.f64 x 3)))))
(-.f64 (fma.f64 8/9 (/.f64 (.f64 y y) (.f64 x x)) 1) (fma.f64 4/3 (/.f64 y x) (*.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) 68/81)))
(-.f64 (fma.f64 (/.f64 (/.f64 (.f64 y y) x) x) 8/9 1) (fma.f64 (/.f64 y x) 4/3 (.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) 68/81)))
(+.f64 (fma.f64 (/.f64 y x) -4/3 (fma.f64 (/.f64 (.f64 y y) (.f64 x x)) 8/9 1)) (*.f64 (pow.f64 (/.f64 y x) 3) -68/81))
1
(-.f64 1 (*.f64 4/3 (/.f64 y x)))
(-.f64 1 (*.f64 (/.f64 y x) 4/3))
(-.f64 1 (/.f64 (*.f64 y 4/3) x))
(fma.f64 (/.f64 y x) -4/3 1)
(-.f64 (+.f64 (.f64 8/9 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) 1) (.f64 4/3 (/.f64 y x)))
(+.f64 (fma.f64 8/9 (/.f64 (.f64 y y) (.f64 x x)) 1) (*.f64 -4/3 (/.f64 y x)))
(-.f64 (fma.f64 (/.f64 (/.f64 (.f64 y y) x) x) 8/9 1) (/.f64 (.f64 y 4/3) x))
(fma.f64 (/.f64 y x) -4/3 (fma.f64 (/.f64 (.f64 y y) (.f64 x x)) 8/9 1))
(-.f64 (+.f64 (.f64 8/9 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) 1) (+.f64 (.f64 4/3 (/.f64 y x)) (*.f64 68/81 (/.f64 (pow.f64 y 3) (pow.f64 x 3)))))
(-.f64 (fma.f64 8/9 (/.f64 (.f64 y y) (.f64 x x)) 1) (fma.f64 4/3 (/.f64 y x) (*.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) 68/81)))
(-.f64 (fma.f64 (/.f64 (/.f64 (.f64 y y) x) x) 8/9 1) (fma.f64 (/.f64 y x) 4/3 (.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) 68/81)))
(+.f64 (fma.f64 (/.f64 y x) -4/3 (fma.f64 (/.f64 (.f64 y y) (.f64 x x)) 8/9 1)) (*.f64 (pow.f64 (/.f64 y x) 3) -68/81))
1
(-.f64 1 (*.f64 4/3 (/.f64 y x)))
(-.f64 1 (*.f64 (/.f64 y x) 4/3))
(-.f64 1 (/.f64 (*.f64 y 4/3) x))
(fma.f64 (/.f64 y x) -4/3 1)
(-.f64 (+.f64 (.f64 8/9 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) 1) (.f64 4/3 (/.f64 y x)))
(+.f64 (fma.f64 8/9 (/.f64 (.f64 y y) (.f64 x x)) 1) (*.f64 -4/3 (/.f64 y x)))
(-.f64 (fma.f64 (/.f64 (/.f64 (.f64 y y) x) x) 8/9 1) (/.f64 (.f64 y 4/3) x))
(fma.f64 (/.f64 y x) -4/3 (fma.f64 (/.f64 (.f64 y y) (.f64 x x)) 8/9 1))
(-.f64 (+.f64 (.f64 8/9 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) 1) (+.f64 (.f64 4/3 (/.f64 y x)) (*.f64 68/81 (/.f64 (pow.f64 y 3) (pow.f64 x 3)))))
(-.f64 (fma.f64 8/9 (/.f64 (.f64 y y) (.f64 x x)) 1) (fma.f64 4/3 (/.f64 y x) (*.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) 68/81)))
(-.f64 (fma.f64 (/.f64 (/.f64 (.f64 y y) x) x) 8/9 1) (fma.f64 (/.f64 y x) 4/3 (.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) 68/81)))
(+.f64 (fma.f64 (/.f64 y x) -4/3 (fma.f64 (/.f64 (.f64 y y) (.f64 x x)) 8/9 1)) (*.f64 (pow.f64 (/.f64 y x) 3) -68/81))
1
(-.f64 1 (*.f64 4/3 (/.f64 x y)))
(-.f64 1 (*.f64 (/.f64 x y) 4/3))
(+.f64 1 (*.f64 (/.f64 x y) -4/3))
(fma.f64 (/.f64 x y) -4/3 1)
(-.f64 (+.f64 1 (.f64 8/9 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) (.f64 4/3 (/.f64 x y)))
(+.f64 1 (-.f64 (.f64 (/.f64 (.f64 x x) (.f64 y y)) 8/9) (.f64 (/.f64 x y) 4/3)))
(+.f64 1 (fma.f64 (.f64 (/.f64 x y) (/.f64 x y)) 8/9 (.f64 (/.f64 x y) -4/3)))
(fma.f64 (/.f64 x y) -4/3 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 8/9 1))
(-.f64 (+.f64 1 (.f64 8/9 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) (+.f64 (.f64 4/3 (/.f64 x y)) (*.f64 68/81 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(-.f64 (+.f64 1 (.f64 (/.f64 (.f64 x x) (.f64 y y)) 8/9)) (fma.f64 4/3 (/.f64 x y) (.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) 68/81)))
(-.f64 (fma.f64 (.f64 (/.f64 x y) (/.f64 x y)) 8/9 1) (fma.f64 (/.f64 x y) 4/3 (.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) 68/81)))
(+.f64 (fma.f64 (.f64 (/.f64 x y) (/.f64 x y)) 8/9 1) (fma.f64 (/.f64 x y) -4/3 (.f64 (pow.f64 (/.f64 x y) 3) -68/81)))
1
(-.f64 1 (*.f64 4/3 (/.f64 x y)))
(-.f64 1 (*.f64 (/.f64 x y) 4/3))
(+.f64 1 (*.f64 (/.f64 x y) -4/3))
(fma.f64 (/.f64 x y) -4/3 1)
(-.f64 (+.f64 1 (.f64 8/9 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) (.f64 4/3 (/.f64 x y)))
(+.f64 1 (-.f64 (.f64 (/.f64 (.f64 x x) (.f64 y y)) 8/9) (.f64 (/.f64 x y) 4/3)))
(+.f64 1 (fma.f64 (.f64 (/.f64 x y) (/.f64 x y)) 8/9 (.f64 (/.f64 x y) -4/3)))
(fma.f64 (/.f64 x y) -4/3 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 8/9 1))
(-.f64 (+.f64 1 (.f64 8/9 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) (+.f64 (.f64 4/3 (/.f64 x y)) (*.f64 68/81 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(-.f64 (+.f64 1 (.f64 (/.f64 (.f64 x x) (.f64 y y)) 8/9)) (fma.f64 4/3 (/.f64 x y) (.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) 68/81)))
(-.f64 (fma.f64 (.f64 (/.f64 x y) (/.f64 x y)) 8/9 1) (fma.f64 (/.f64 x y) 4/3 (.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) 68/81)))
(+.f64 (fma.f64 (.f64 (/.f64 x y) (/.f64 x y)) 8/9 1) (fma.f64 (/.f64 x y) -4/3 (.f64 (pow.f64 (/.f64 x y) 3) -68/81)))

prune168.0ms (10.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	245	0	245
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	245	4	249

Error

Counts

249 → 4

Alt Table

Status	Error	Program
▶	30.1b	(fma.f64 2 (/.f64 x y) -1)
✓	0.0b	(/.f64 (-.f64 x y) (+.f64 x y))
✓	0.1b	(*.f64 (cbrt.f64 (/.f64 (-.f64 x y) (+.f64 x y))) (cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 2)))
	33.5b	(fma.f64 2 (*.f64 (/.f64 y x) (+.f64 (/.f64 y x) -1)) 1)

Compiler

Compiled 6575 to 2458 computations (62.6% saved)

localize4.0ms (0.2%)

prune2.0ms (0.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	1	1
Done	2	2
Total	4	4

Error

Counts

4 → 4

Alt Table

Status	Error	Program
✓	30.1b	(fma.f64 2 (/.f64 x y) -1)
✓	0.0b	(/.f64 (-.f64 x y) (+.f64 x y))
✓	0.1b	(*.f64 (cbrt.f64 (/.f64 (-.f64 x y) (+.f64 x y))) (cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 2)))
▶	33.5b	(fma.f64 2 (*.f64 (/.f64 y x) (+.f64 (/.f64 y x) -1)) 1)

Compiler

Compiled 66 to 39 computations (40.9% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

series5.0ms (0.3%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	y	@	0	(*.f64 (/.f64 y x) (+.f64 (/.f64 y x) -1))
1.0ms	y	@	inf	(*.f64 (/.f64 y x) (+.f64 (/.f64 y x) -1))
1.0ms	x	@	0	(*.f64 (/.f64 y x) (+.f64 (/.f64 y x) -1))
1.0ms	x	@	inf	(*.f64 (/.f64 y x) (+.f64 (/.f64 y x) -1))
1.0ms	y	@	-inf	(*.f64 (/.f64 y x) (+.f64 (/.f64 y x) -1))

rewrite41.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

850×	`log1p-expm1-u_binary64`
850×	`expm1-log1p-u_binary64`
80×	`add-sqr-sqrt_binary64`
78×	`*-un-lft-identity_binary64`
78×	`pow1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	155	13
2	2221	13

Stop Event

1×	node limit

Counts

1 → 47

Calls

Call 1

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

Outputs

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

simplify35.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

676×	`times-frac_binary64`
650×	`unswap-sqr_binary64`
608×	`fma-def_binary64`
328×	`associate-/l*_binary64`
294×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	336
1	24	336
2	45	282
3	120	282
4	499	282
5	3765	282

Stop Event

1×	node limit

Counts

71 → 53

Calls

Call 1

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

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

prune46.0ms (2.8%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	53	0	53
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	53	4	57

Error

Counts

57 → 4

Alt Table

Status	Error	Program
✓	30.1b	(fma.f64 2 (/.f64 x y) -1)
✓	0.0b	(/.f64 (-.f64 x y) (+.f64 x y))
✓	0.1b	(*.f64 (cbrt.f64 (/.f64 (-.f64 x y) (+.f64 x y))) (cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 2)))
✓	33.5b	(fma.f64 2 (*.f64 (/.f64 y x) (+.f64 (/.f64 y x) -1)) 1)

Compiler

Compiled 1013 to 565 computations (44.2% saved)

regimes42.0ms (2.5%)

Accuracy

Total 0.0b remaining (57.3%)

Threshold costs 0.0b (57.3%)

Counts

23 → 1

Compiler

Compiled 245 to 94 computations (61.6% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	16
1	10	16
2	17	16
3	21	16
4	24	16
5	25	16

Stop Event

1×

saturated

Calls

Call 1

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

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

end56.0ms (3.4%)

Stop Event

1×

done

Compiler

Compiled 78 to 42 computations (46.2% saved)

Details

analyze155.0ms (9.4%)

sample699.0ms (42.6%)

preprocess61.0ms (3.7%)

simplify52.0ms (3.2%)

prune1.0ms (0.1%)

localize4.0ms (0.2%)

series4.0ms (0.2%)

rewrite45.0ms (2.7%)

simplify27.0ms (1.6%)

prune39.0ms (2.4%)

localize11.0ms (0.7%)

series28.0ms (1.7%)

rewrite61.0ms (3.7%)

simplify46.0ms (2.8%)

prune168.0ms (10.3%)

localize4.0ms (0.2%)

prune2.0ms (0.1%)

localize5.0ms (0.3%)

series5.0ms (0.3%)

rewrite41.0ms (2.5%)

simplify35.0ms (2.1%)

prune46.0ms (2.8%)

regimes42.0ms (2.5%)

simplify2.0ms (0.1%)

end56.0ms (3.4%)

Profiling