Details

analyze324.0ms (3%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
18.8%	18.7%	81.2%	0.1%	0%	0%	0%	5
28.1%	28.1%	71.8%	0.1%	0%	0%	0%	6
39.1%	39%	60.9%	0.1%	0%	0%	0%	7
52.3%	52.3%	47.6%	0.1%	0%	0%	0%	8
67.6%	67.5%	32.4%	0.1%	0%	0%	0%	9
74.8%	74.7%	25.2%	0.1%	0%	0%	0%	10
83.3%	83.2%	16.7%	0.1%	0%	0%	0%	11
87.1%	87%	12.9%	0.1%	0%	0%	0%	12

Compiler

Compiled 12 to 8 computations (33.3% saved)

sample1.8s (16.4%)

Results

1.8s	8255×	body	256	valid
0.0ms	1×	body	1024	valid

Bogosity

preprocess155.0ms (1.4%)

Algorithm

2×	egg-herbie

Rules

1210×	`fma-neg_binary64`
554×	`div-sub_binary64`
400×	`sub-neg_binary64`
367×	`associate-/l*_binary64`
357×	`associate-/l/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	26
1	33	26
2	54	26
3	106	26
4	228	26
5	464	26
6	1258	26
7	3570	26
8	5998	26
9	6870	26
10	7405	26
11	7607	26
12	7711	26
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 2 (+.f64 x y)))
(/.f64 (-.f64 y x) (-.f64 2 (+.f64 y x)))

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

Compiler

Compiled 13 to 9 computations (30.8% saved)

simplify140.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1142×	`fma-neg_binary64`
983×	`fma-def_binary64`
651×	`div-sub_binary64`
413×	`sub-neg_binary64`
386×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	18	13
2	35	13
3	77	13
4	188	13
5	357	13
6	886	13
7	2396	13
8	4744	13
9	6567	13
10	7144	13
11	7528	13
12	7596	13
13	7616	13

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 20 to 11 computations (45% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(/.f64 (-.f64 x y) (-.f64 (-.f64 2 x) y))

Compiler

Compiled 11 to 7 computations (36.4% saved)

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 25 to 13 computations (48% saved)

series5.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite73.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

520×	`log-prod_binary64`
392×	`fma-def_binary64`
334×	`pow-prod-down_binary64`
289×	`pow2_binary64`
199×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	200	13
2	3178	13

Stop Event

1×	node limit

Counts

1 → 61

Calls

Call 1

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

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

Outputs

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

simplify73.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

593×	`div-sub_binary64`
464×	`fma-def_binary64`
394×	`times-frac_binary64`
305×	`associate-/l*_binary64`
302×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	109	865
1	343	807
2	1252	693
3	7180	693

Stop Event

1×	node limit

Counts

85 → 96

Calls

Call 1

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

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

eval39.0ms (0.4%)

Compiler: Compiled 2066 to 1291 computations (37.5% saved)

prune25.0ms (0.2%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	85	11	96
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	85	12	97

Error

Counts

97 → 12

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.1b	(pow.f64 (/.f64 (-.f64 2 (+.f64 x y)) (-.f64 x y)) -1)
▶	32.2b	(/.f64 x (-.f64 2 x))
	25.5b	(*.f64 (pow.f64 (-.f64 2 (+.f64 x y)) -1/2) (/.f64 (-.f64 x y) (sqrt.f64 (-.f64 2 (+.f64 x y)))))
	31.0b	(/.f64 (neg.f64 y) (-.f64 2 y))
	40.8b	-1
	0.1b	(fma.f64 x (/.f64 1 (-.f64 2 (+.f64 x y))) (neg.f64 (/.f64 y (-.f64 2 (+.f64 x y)))))
▶	0.0b	(-.f64 (/.f64 x (-.f64 2 (+.f64 x y))) (/.f64 y (-.f64 2 (+.f64 x y))))
	38.8b	1
✓	0.0b	(/.f64 (-.f64 x y) (-.f64 (-.f64 2 x) y))
	38.9b	(+.f64 (-.f64 1 (/.f64 x y)) (*.f64 (/.f64 (-.f64 2 x) y) (-.f64 (/.f64 (-.f64 (-.f64 2 x) x) y) -1)))
▶	28.0b	(.f64 (/.f64 (-.f64 x y) (-.f64 (pow.f64 (-.f64 2 x) 2) (.f64 y y))) (+.f64 y (-.f64 2 x)))
▶	0.2b	(*.f64 (/.f64 1 (-.f64 2 (+.f64 x y))) (-.f64 x y))

Compiler

Compiled 299 to 201 computations (32.8% saved)

localize14.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 42 to 19 computations (54.8% saved)

series13.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
2.0ms	y	@	0	(-.f64 (/.f64 x (-.f64 2 (+.f64 x y))) (/.f64 y (-.f64 2 (+.f64 x y))))
1.0ms	y	@	0	(/.f64 y (-.f64 2 (+.f64 x y)))
1.0ms	x	@	-inf	(/.f64 y (-.f64 2 (+.f64 x y)))
1.0ms	x	@	-inf	(/.f64 x (-.f64 2 (+.f64 x y)))
1.0ms	x	@	-inf	(-.f64 (/.f64 x (-.f64 2 (+.f64 x y))) (/.f64 y (-.f64 2 (+.f64 x y))))

rewrite110.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

616×	`log-prod_binary64`
542×	`fma-def_binary64`
330×	`pow2_binary64`
281×	`log-div_binary64`
278×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	33
1	229	33
2	3870	33

Stop Event

1×	node limit

Counts

3 → 252

Calls

Call 1

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

Outputs
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Outputs

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y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (-.f64 x y) (-.f64 8 (pow.f64 (+.f64 y x) 3))) (fma.f64 (+.f64 y x) (+.f64 (+.f64 2 x) y) 4) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 y (-.f64 (-.f64 2 x) y)))) (cbrt.f64 (pow.f64 (/.f64 y (-.f64 (-.f64 2 x) y)) 2)) (/.f64 y (-.f64 (-.f64 2 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (-.f64 x y) (-.f64 8 (pow.f64 (+.f64 y x) 3))) (fma.f64 (+.f64 y x) (+.f64 (+.f64 2 x) y) 4) (+.f64 (/.f64 (neg.f64 y) (-.f64 (-.f64 2 x) y)) (/.f64 y (-.f64 (-.f64 2 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (-.f64 x y) (-.f64 4 (pow.f64 (+.f64 y x) 2))) (+.f64 (+.f64 2 x) y) (fma.f64 (neg.f64 (/.f64 1 (-.f64 (-.f64 2 x) y))) y (/.f64 y (-.f64 (-.f64 2 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (-.f64 x y) (-.f64 4 (pow.f64 (+.f64 y x) 2))) (+.f64 (+.f64 2 x) y) (fma.f64 (/.f64 (neg.f64 y) (-.f64 (-.f64 2 x) y)) 1 (/.f64 y (-.f64 (-.f64 2 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (-.f64 x y) (-.f64 4 (pow.f64 (+.f64 y x) 2))) (+.f64 (+.f64 2 x) y) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 y (-.f64 (-.f64 2 x) y)))) (cbrt.f64 (pow.f64 (/.f64 y (-.f64 (-.f64 2 x) y)) 2)) (/.f64 y (-.f64 (-.f64 2 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (-.f64 x y) (-.f64 4 (pow.f64 (+.f64 y x) 2))) (+.f64 (+.f64 2 x) y) (+.f64 (/.f64 (neg.f64 y) (-.f64 (-.f64 2 x) y)) (/.f64 y (-.f64 (-.f64 2 x) y))))))))

simplify88.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

760×	`associate-/l*_binary64`
520×	`associate-/r*_binary64`
411×	`cancel-sign-sub-inv_binary64`
304×	`distribute-rgt-in_binary64`
275×	`unsub-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	252	2393
1	842	2276
2	3166	1960

Stop Event

1×	node limit

Counts

324 → 358

Calls

Call 1

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

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

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 12 to 8 computations (33.3% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(/.f64 x (-.f64 2 x))
0.0ms	x	@	inf	(/.f64 x (-.f64 2 x))
0.0ms	x	@	-inf	(/.f64 x (-.f64 2 x))

rewrite60.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

678×	`pow1_binary64`
638×	`add-log-exp_binary64`
637×	`log1p-expm1-u_binary64`
637×	`expm1-log1p-u_binary64`
627×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	117	7
2	1625	7

Stop Event

1×	node limit

Counts

1 → 33

Calls

Call 1

Inputs
(/.f64 x (-.f64 2 x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 x (-.f64 2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (-.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (-.f64 2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (-.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (-.f64 2 x))) (pow.f64 (cbrt.f64 (/.f64 x (-.f64 2 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x (-.f64 2 x))) 2) (cbrt.f64 (/.f64 x (-.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (-.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (-.f64 2 x))) (sqrt.f64 (/.f64 x (-.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (-.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (neg.f64 (-.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 2 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (-.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (-.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 2 x)) 2)) (/.f64 x (cbrt.f64 (-.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (-.f64 2 x)) 2)) (cbrt.f64 (/.f64 x (-.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (-.f64 2 x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (-.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (-.f64 2 x))) (/.f64 x (sqrt.f64 (-.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (-.f64 2 x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (-.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (-.f64 8 (pow.f64 x 3))) (+.f64 4 (*.f64 x (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (-.f64 4 (*.f64 x x))) (+.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (-.f64 2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (-.f64 2 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (-.f64 2 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (-.f64 2 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 2 x) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (neg.f64 (-.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (-.f64 2 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (-.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (-.f64 2 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (-.f64 2 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (-.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (-.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (-.f64 2 x))))))))

simplify62.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

805×	`unswap-sqr_binary64`
507×	`associate-/r*_binary64`
487×	`fma-def_binary64`
380×	`fma-neg_binary64`
268×	`distribute-lft-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	37	168
1	101	156
2	277	153
3	886	145
4	2728	145
5	6724	145

Stop Event

1×	node limit

Counts

45 → 47

Calls

Call 1

Inputs
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 1/4 (pow.f64 x 2)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/4 (pow.f64 x 2)) (*.f64 1/8 (pow.f64 x 3))))
(+.f64 (.f64 1/16 (pow.f64 x 4)) (+.f64 (.f64 1/2 x) (+.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 1/8 (pow.f64 x 3)))))
-1
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 1 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 4 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 1 (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 2 (/.f64 1 x)) (*.f64 4 (/.f64 1 (pow.f64 x 2)))))))
-1
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 1 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 4 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 1 (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 2 (/.f64 1 x)) (*.f64 4 (/.f64 1 (pow.f64 x 2)))))))

Outputs
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 1/4 (pow.f64 x 2)))
(fma.f64 1/2 x (.f64 1/4 (.f64 x x)))
(fma.f64 1/2 x (.f64 x (.f64 x 1/4)))
(.f64 x (+.f64 (.f64 x 1/4) 1/2))
(*.f64 x (fma.f64 x 1/4 1/2))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/4 (pow.f64 x 2)) (*.f64 1/8 (pow.f64 x 3))))
(fma.f64 1/2 x (fma.f64 1/4 (.f64 x x) (.f64 1/8 (pow.f64 x 3))))
(fma.f64 1/2 x (.f64 (.f64 x x) (+.f64 1/4 (*.f64 x 1/8))))
(.f64 x (+.f64 (.f64 x (fma.f64 x 1/8 1/4)) 1/2))
(.f64 x (+.f64 1/2 (.f64 x (fma.f64 x 1/8 1/4))))
(+.f64 (.f64 1/16 (pow.f64 x 4)) (+.f64 (.f64 1/2 x) (+.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 1/8 (pow.f64 x 3)))))
(fma.f64 1/16 (pow.f64 x 4) (fma.f64 1/2 x (fma.f64 1/4 (.f64 x x) (.f64 1/8 (pow.f64 x 3)))))
(fma.f64 1/2 x (fma.f64 1/16 (pow.f64 x 4) (.f64 (.f64 x x) (+.f64 1/4 (*.f64 x 1/8)))))
(fma.f64 x (fma.f64 x 1/4 1/2) (.f64 (pow.f64 x 3) (+.f64 1/8 (.f64 x 1/16))))
-1
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(+.f64 -1 (neg.f64 (/.f64 2 x)))
(+.f64 -1 (/.f64 -2 x))
(-.f64 -1 (/.f64 2 x))
(neg.f64 (+.f64 1 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 -1 (neg.f64 (+.f64 (/.f64 2 x) (/.f64 4 (*.f64 x x)))))
(-.f64 (+.f64 -1 (/.f64 -2 x)) (/.f64 4 (*.f64 x x)))
(+.f64 (-.f64 -1 (/.f64 2 x)) (/.f64 -4 (*.f64 x x)))
(+.f64 -1 (-.f64 (/.f64 -2 x) (/.f64 4 (*.f64 x x))))
(+.f64 -1 (+.f64 (/.f64 -2 x) (/.f64 -4 (*.f64 x x))))
(neg.f64 (+.f64 1 (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 2 (/.f64 1 x)) (*.f64 4 (/.f64 1 (pow.f64 x 2)))))))
(neg.f64 (+.f64 (+.f64 1 (/.f64 8 (pow.f64 x 3))) (+.f64 (/.f64 2 x) (/.f64 4 (*.f64 x x)))))
(-.f64 -1 (+.f64 (/.f64 2 x) (+.f64 (/.f64 4 (*.f64 x x)) (/.f64 8 (pow.f64 x 3)))))
(+.f64 -1 (+.f64 (/.f64 -2 x) (+.f64 (/.f64 -4 (*.f64 x x)) (/.f64 -8 (pow.f64 x 3)))))
(+.f64 -1 (+.f64 (/.f64 -2 x) (-.f64 (/.f64 -8 (pow.f64 x 3)) (/.f64 4 (*.f64 x x)))))
(+.f64 -1 (+.f64 (/.f64 -4 (*.f64 x x)) (+.f64 (/.f64 -2 x) (/.f64 -8 (pow.f64 x 3)))))
-1
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(+.f64 -1 (neg.f64 (/.f64 2 x)))
(+.f64 -1 (/.f64 -2 x))
(-.f64 -1 (/.f64 2 x))
(neg.f64 (+.f64 1 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 -1 (neg.f64 (+.f64 (/.f64 2 x) (/.f64 4 (*.f64 x x)))))
(-.f64 (+.f64 -1 (/.f64 -2 x)) (/.f64 4 (*.f64 x x)))
(+.f64 (-.f64 -1 (/.f64 2 x)) (/.f64 -4 (*.f64 x x)))
(+.f64 -1 (-.f64 (/.f64 -2 x) (/.f64 4 (*.f64 x x))))
(+.f64 -1 (+.f64 (/.f64 -2 x) (/.f64 -4 (*.f64 x x))))
(neg.f64 (+.f64 1 (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 2 (/.f64 1 x)) (*.f64 4 (/.f64 1 (pow.f64 x 2)))))))
(neg.f64 (+.f64 (+.f64 1 (/.f64 8 (pow.f64 x 3))) (+.f64 (/.f64 2 x) (/.f64 4 (*.f64 x x)))))
(-.f64 -1 (+.f64 (/.f64 2 x) (+.f64 (/.f64 4 (*.f64 x x)) (/.f64 8 (pow.f64 x 3)))))
(+.f64 -1 (+.f64 (/.f64 -2 x) (+.f64 (/.f64 -4 (*.f64 x x)) (/.f64 -8 (pow.f64 x 3)))))
(+.f64 -1 (+.f64 (/.f64 -2 x) (-.f64 (/.f64 -8 (pow.f64 x 3)) (/.f64 4 (*.f64 x x)))))
(+.f64 -1 (+.f64 (/.f64 -4 (*.f64 x x)) (+.f64 (/.f64 -2 x) (/.f64 -8 (pow.f64 x 3)))))

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1 (-.f64 2 (+.f64 x y)))
✓	0.2b	(*.f64 (/.f64 1 (-.f64 2 (+.f64 x y))) (-.f64 x y))

Compiler

Compiled 35 to 17 computations (51.4% saved)

series5.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(/.f64 1 (-.f64 2 (+.f64 x y)))
0.0ms	x	@	0	(*.f64 (/.f64 1 (-.f64 2 (+.f64 x y))) (-.f64 x y))
0.0ms	y	@	inf	(/.f64 1 (-.f64 2 (+.f64 x y)))
0.0ms	y	@	0	(/.f64 1 (-.f64 2 (+.f64 x y)))
0.0ms	x	@	0	(/.f64 1 (-.f64 2 (+.f64 x y)))

rewrite87.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

618×	`prod-diff_binary64`
516×	`log-prod_binary64`
303×	`fma-def_binary64`
293×	`pow2_binary64`
203×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	228	23
2	3234	23

Stop Event

1×	node limit

Counts

2 → 80

Calls

Call 1

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (-.f64 2 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 2 (+.f64 x y))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 2 (+.f64 x y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (-.f64 2 (+.f64 x y)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (-.f64 2 (+.f64 x y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (-.f64 2 (+.f64 x y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (-.f64 2 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 2 (+.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (-.f64 2 (+.f64 x y)))) (cbrt.f64 (pow.f64 (-.f64 2 (+.f64 x y)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (-.f64 2 (+.f64 x y)) -2)) (/.f64 1 (cbrt.f64 (-.f64 2 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 2 (+.f64 x y)) -1/2) (pow.f64 (-.f64 2 (+.f64 x y)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (-.f64 2 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 2 (+.f64 x y))) 2)) (/.f64 1 (cbrt.f64 (-.f64 2 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 8 (pow.f64 (+.f64 x y) 3))) (fma.f64 (+.f64 x y) (+.f64 (+.f64 2 x) y) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 4 (pow.f64 (+.f64 x y) 2))) (+.f64 (+.f64 2 x) 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 (/.f64 1 (-.f64 2 (+.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 2 (+.f64 x y)) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (-.f64 2 (+.f64 x y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (-.f64 2 (+.f64 x y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 2 (+.f64 x y)) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (neg.f64 (-.f64 2 (+.f64 x y)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 2 (+.f64 x y)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (-.f64 2 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 2 (+.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (-.f64 2 (+.f64 x y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (-.f64 2 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (-.f64 2 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (-.f64 2 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 2 (+.f64 x y))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (-.f64 2 (+.f64 x y)))) 1))))))

simplify110.0ms (1%)

Algorithm

1×	egg-herbie

Rules

645×	`fma-def_binary64`
552×	`times-frac_binary64`
458×	`associate-/l*_binary64`
384×	`associate-/r*_binary64`
341×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	161	1591
1	477	1533
2	1716	1306

Stop Event

1×	node limit

Counts

128 → 144

Calls

Call 1

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

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

localize16.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 2 (+.f64 x y)) (-.f64 x y))
✓	0.1b	(pow.f64 (/.f64 (-.f64 2 (+.f64 x y)) (-.f64 x y)) -1)

Compiler

Compiled 37 to 16 computations (56.8% saved)

series14.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(pow.f64 (/.f64 (-.f64 2 (+.f64 x y)) (-.f64 x y)) -1)
2.0ms	x	@	0	(/.f64 (-.f64 2 (+.f64 x y)) (-.f64 x y))
2.0ms	y	@	0	(pow.f64 (/.f64 (-.f64 2 (+.f64 x y)) (-.f64 x y)) -1)
2.0ms	x	@	-inf	(pow.f64 (/.f64 (-.f64 2 (+.f64 x y)) (-.f64 x y)) -1)
1.0ms	y	@	inf	(pow.f64 (/.f64 (-.f64 2 (+.f64 x y)) (-.f64 x y)) -1)

rewrite131.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

722×	`prod-diff_binary64`
565×	`log-prod_binary64`
309×	`fma-def_binary64`
215×	`expm1-udef_binary64`
215×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	29
1	238	26
2	3505	26

Stop Event

1×	node limit

Counts

2 → 171

Calls

Call 1

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

Outputs

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egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 x y) (-.f64 (-.f64 2 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 x y) (-.f64 (-.f64 2 x) y))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) (-.f64 (-.f64 2 x) y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) (-.f64 (-.f64 2 x) y))) 2) (cbrt.f64 (/.f64 (-.f64 x y) (-.f64 (-.f64 2 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 x y) (-.f64 (-.f64 2 x) y))) (sqrt.f64 (/.f64 (-.f64 x y) (-.f64 (-.f64 2 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 (-.f64 2 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 x y)) 1) (/.f64 (sqrt.f64 (-.f64 x y)) (-.f64 (-.f64 2 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 (-.f64 2 x) y) 2))) (/.f64 (-.f64 x y) (cbrt.f64 (-.f64 (-.f64 2 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (cbrt.f64 (pow.f64 (-.f64 (-.f64 2 x) y) 2))) (/.f64 (cbrt.f64 (-.f64 x y)) (cbrt.f64 (-.f64 (-.f64 2 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 x y)) (cbrt.f64 (pow.f64 (-.f64 (-.f64 2 x) y) 2))) (/.f64 (sqrt.f64 (-.f64 x y)) (cbrt.f64 (-.f64 (-.f64 2 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (-.f64 (-.f64 2 x) y))) (/.f64 (-.f64 x y) (sqrt.f64 (-.f64 (-.f64 2 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (sqrt.f64 (-.f64 (-.f64 2 x) y))) (/.f64 (cbrt.f64 (-.f64 x y)) (sqrt.f64 (-.f64 (-.f64 2 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (-.f64 (-.f64 2 x) y))) (/.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (-.f64 (-.f64 2 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (-.f64 2 x) y)) (-.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (-.f64 2 x) y)) (pow.f64 (/.f64 1 (-.f64 x y)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 x y) (-.f64 8 (pow.f64 (+.f64 x y) 3))) (fma.f64 (+.f64 x y) (+.f64 2 (+.f64 x y)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 x y) (-.f64 4 (pow.f64 (+.f64 x y) 2))) (+.f64 2 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 (-.f64 (-.f64 2 x) y))) (neg.f64 (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (/.f64 (-.f64 (-.f64 2 x) y) (-.f64 x y)) 2))) (cbrt.f64 (/.f64 (-.f64 x y) (-.f64 (-.f64 2 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 x y) (-.f64 (-.f64 2 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (/.f64 (-.f64 (-.f64 2 x) y) (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (-.f64 2 x) y) (-.f64 x y)))))) (#(struct:change #<rule 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simplify105.0ms (1%)

Algorithm

1×	egg-herbie

Rules

443×	`cancel-sign-sub-inv_binary64`
291×	`fma-neg_binary64`
288×	`unsub-neg_binary64`
272×	`distribute-rgt-neg-in_binary64`
267×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	267	2539
1	978	2331
2	4488	2174

Stop Event

1×	node limit

Counts

219 → 246

Calls

Call 1

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

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

localize26.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 (-.f64 2 x) 2)
✓	0.2b	(.f64 (/.f64 (-.f64 x y) (-.f64 (pow.f64 (-.f64 2 x) 2) (.f64 y y))) (+.f64 y (-.f64 2 x)))
✓	2.2b	(-.f64 (pow.f64 (-.f64 2 x) 2) (*.f64 y y))
✓	26.8b	(/.f64 (-.f64 x y) (-.f64 (pow.f64 (-.f64 2 x) 2) (*.f64 y y)))

Compiler

Compiled 65 to 35 computations (46.2% saved)

series17.0ms (0.2%)

Counts

4 → 84

Calls

21 calls:

Time	Variable		Point	Expression
3.0ms	y	@	0	(.f64 (/.f64 (-.f64 x y) (-.f64 (pow.f64 (-.f64 2 x) 2) (.f64 y y))) (+.f64 y (-.f64 2 x)))
2.0ms	x	@	0	(.f64 (/.f64 (-.f64 x y) (-.f64 (pow.f64 (-.f64 2 x) 2) (.f64 y y))) (+.f64 y (-.f64 2 x)))
1.0ms	x	@	0	(/.f64 (-.f64 x y) (-.f64 (pow.f64 (-.f64 2 x) 2) (*.f64 y y)))
1.0ms	x	@	inf	(/.f64 (-.f64 x y) (-.f64 (pow.f64 (-.f64 2 x) 2) (*.f64 y y)))
1.0ms	x	@	-inf	(/.f64 (-.f64 x y) (-.f64 (pow.f64 (-.f64 2 x) 2) (*.f64 y y)))

rewrite201.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

797×	`fma-def_binary64`
372×	`fma-neg_binary64`
280×	`log-div_binary64`
277×	`expm1-udef_binary64`
277×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	67
1	304	67
2	5110	67

Stop Event

1×	node limit

Counts

4 → 260

Calls

Call 1

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

Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (-.f64 2 x) 2) (.f64 y (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (-.f64 2 x) 2) (.f64 (.f64 y (neg.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (pow.f64 (-.f64 2 x) 2) (.f64 y y)) (fma.f64 (neg.f64 y) y (.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (pow.f64 (-.f64 2 x) 2) (.f64 y y)) (fma.f64 (.f64 y (neg.f64 y)) 1 (.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (pow.f64 (-.f64 2 x) 2) (.f64 y y)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 y y))) (cbrt.f64 (pow.f64 y 4)) (.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 y (neg.f64 y)) (pow.f64 (-.f64 2 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 (-.f64 2 x) 2) (.f64 y y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 y (-.f64 2 x)) (-.f64 (-.f64 2 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (-.f64 (pow.f64 (-.f64 2 x) 2) 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 2 (-.f64 2 x)) (.f64 (neg.f64 x) (-.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (-.f64 2 x) 2) (.f64 (-.f64 2 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (-.f64 2 x) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 2 x) (-.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (-.f64 2 x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (-.f64 2 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (-.f64 2 x) 2)) (cbrt.f64 (pow.f64 (-.f64 2 x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (-.f64 2 x) 2)) (.f64 (cbrt.f64 (-.f64 2 x)) (-.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (-.f64 2 x) 4)) (cbrt.f64 (pow.f64 (-.f64 2 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (-.f64 2 x)) (.f64 (sqrt.f64 (-.f64 2 x)) (-.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 2 x) (sqrt.f64 (-.f64 2 x))) (sqrt.f64 (-.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 2 x) (cbrt.f64 (pow.f64 (-.f64 2 x) 2))) (cbrt.f64 (-.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 8 (pow.f64 x 3)) (-.f64 8 (pow.f64 x 3))) (.f64 (fma.f64 x (+.f64 x 2) 4) (fma.f64 x (+.f64 x 2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 4 (.f64 x x)) (-.f64 4 (.f64 x x))) (.f64 (+.f64 x 2) (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 4 (.f64 x x)) (-.f64 8 (pow.f64 x 3))) (.f64 (+.f64 x 2) (fma.f64 x (+.f64 x 2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 8 (pow.f64 x 3)) (-.f64 4 (.f64 x x))) (.f64 (fma.f64 x (+.f64 x 2) 4) (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 8 (pow.f64 x 3)) (-.f64 2 x)) (fma.f64 x (+.f64 x 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 4 (.f64 x x)) (-.f64 2 x)) (+.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 2 x) (-.f64 8 (pow.f64 x 3))) (fma.f64 x (+.f64 x 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 2 x) (-.f64 4 (.f64 x x))) (+.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 2 x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (-.f64 2 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (-.f64 2 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 2 x) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (-.f64 2 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (-.f64 2 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 2 (log.f64 (-.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 2 (log.f64 (-.f64 2 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 (-.f64 2 x) (.f64 (neg.f64 x) (-.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 2 x) 2 (.f64 (-.f64 2 x) (neg.f64 x)))))))

simplify89.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

669×	`times-frac_binary64`
615×	`cancel-sign-sub-inv_binary64`
451×	`distribute-rgt-in_binary64`
410×	`distribute-lft-in_binary64`
260×	`sub-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	266	2910
1	893	2744
2	3334	2628

Stop Event

1×	node limit

Counts

344 → 351

Calls

Call 1

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

Outputs
(*.f64 -1 (/.f64 y (-.f64 4 (pow.f64 y 2))))
(/.f64 (neg.f64 y) (-.f64 4 (*.f64 y y)))
(/.f64 (neg.f64 y) (neg.f64 (fma.f64 y y -4)))
(+.f64 (.f64 (-.f64 (/.f64 1 (-.f64 4 (pow.f64 y 2))) (.f64 4 (/.f64 y (pow.f64 (-.f64 4 (pow.f64 y 2)) 2)))) x) (*.f64 -1 (/.f64 y (-.f64 4 (pow.f64 y 2)))))
(fma.f64 (+.f64 (/.f64 1 (-.f64 4 (.f64 y y))) (.f64 -4 (/.f64 y (pow.f64 (-.f64 4 (.f64 y y)) 2)))) x (/.f64 (neg.f64 y) (-.f64 4 (.f64 y y))))
(-.f64 (.f64 (+.f64 (/.f64 1 (-.f64 4 (.f64 y y))) (.f64 (/.f64 y (pow.f64 (-.f64 4 (.f64 y y)) 2)) -4)) x) (/.f64 y (-.f64 4 (*.f64 y y))))
(-.f64 (.f64 (+.f64 (/.f64 1 (neg.f64 (fma.f64 y y -4))) (.f64 (/.f64 y (pow.f64 (neg.f64 (fma.f64 y y -4)) 2)) -4)) x) (/.f64 y (neg.f64 (fma.f64 y y -4))))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (/.f64 y (pow.f64 (-.f64 4 (pow.f64 y 2)) 2))) (.f64 -4 (/.f64 (-.f64 (/.f64 1 (-.f64 4 (pow.f64 y 2))) (.f64 4 (/.f64 y (pow.f64 (-.f64 4 (pow.f64 y 2)) 2)))) (-.f64 4 (pow.f64 y 2))))) (pow.f64 x 2))) (+.f64 (.f64 (-.f64 (/.f64 1 (-.f64 4 (pow.f64 y 2))) (.f64 4 (/.f64 y (pow.f64 (-.f64 4 (pow.f64 y 2)) 2)))) x) (.f64 -1 (/.f64 y (-.f64 4 (pow.f64 y 2))))))
(fma.f64 -1 (.f64 (fma.f64 -1 (/.f64 y (pow.f64 (-.f64 4 (.f64 y y)) 2)) (.f64 -4 (/.f64 (+.f64 (/.f64 1 (-.f64 4 (.f64 y y))) (.f64 -4 (/.f64 y (pow.f64 (-.f64 4 (.f64 y y)) 2)))) (-.f64 4 (.f64 y y))))) (.f64 x x)) (fma.f64 (+.f64 (/.f64 1 (-.f64 4 (.f64 y y))) (.f64 -4 (/.f64 y (pow.f64 (-.f64 4 (.f64 y y)) 2)))) x (/.f64 (neg.f64 y) (-.f64 4 (.f64 y y)))))
(-.f64 (-.f64 (.f64 (+.f64 (/.f64 1 (-.f64 4 (.f64 y y))) (.f64 (/.f64 y (pow.f64 (-.f64 4 (.f64 y y)) 2)) -4)) x) (/.f64 y (-.f64 4 (.f64 y y)))) (.f64 x (.f64 x (-.f64 (.f64 -4 (-.f64 (/.f64 1 (pow.f64 (-.f64 4 (.f64 y y)) 2)) (.f64 4 (/.f64 y (pow.f64 (-.f64 4 (.f64 y y)) 3))))) (/.f64 y (pow.f64 (-.f64 4 (.f64 y y)) 2))))))
(-.f64 (.f64 x (+.f64 (+.f64 (/.f64 1 (neg.f64 (fma.f64 y y -4))) (.f64 (/.f64 y (pow.f64 (neg.f64 (fma.f64 y y -4)) 2)) -4)) (.f64 (neg.f64 (fma.f64 -4 (+.f64 (/.f64 1 (pow.f64 (neg.f64 (fma.f64 y y -4)) 2)) (/.f64 (.f64 y -4) (pow.f64 (neg.f64 (fma.f64 y y -4)) 3))) (/.f64 (neg.f64 y) (pow.f64 (neg.f64 (fma.f64 y y -4)) 2)))) x))) (/.f64 y (neg.f64 (fma.f64 y y -4))))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (/.f64 y (pow.f64 (-.f64 4 (pow.f64 y 2)) 2))) (.f64 -4 (/.f64 (-.f64 (/.f64 1 (-.f64 4 (pow.f64 y 2))) (.f64 4 (/.f64 y (pow.f64 (-.f64 4 (pow.f64 y 2)) 2)))) (-.f64 4 (pow.f64 y 2))))) (pow.f64 x 2))) (+.f64 (.f64 (-.f64 (/.f64 1 (-.f64 4 (pow.f64 y 2))) (.f64 4 (/.f64 y (pow.f64 (-.f64 4 (pow.f64 y 2)) 2)))) x) (+.f64 (.f64 (-.f64 (.f64 4 (/.f64 y (pow.f64 (-.f64 4 (pow.f64 y 2)) 3))) (+.f64 (/.f64 1 (pow.f64 (-.f64 4 (pow.f64 y 2)) 2)) (.f64 4 (/.f64 (+.f64 (.f64 -1 (/.f64 y (pow.f64 (-.f64 4 (pow.f64 y 2)) 2))) (.f64 -4 (/.f64 (-.f64 (/.f64 1 (-.f64 4 (pow.f64 y 2))) (.f64 4 (/.f64 y (pow.f64 (-.f64 4 (pow.f64 y 2)) 2)))) (-.f64 4 (pow.f64 y 2))))) (-.f64 4 (pow.f64 y 2)))))) (pow.f64 x 3)) (.f64 -1 (/.f64 y (-.f64 4 (pow.f64 y 2)))))))
(fma.f64 -1 (.f64 (fma.f64 -1 (/.f64 y (pow.f64 (-.f64 4 (.f64 y y)) 2)) (.f64 -4 (/.f64 (+.f64 (/.f64 1 (-.f64 4 (.f64 y y))) (.f64 -4 (/.f64 y (pow.f64 (-.f64 4 (.f64 y y)) 2)))) (-.f64 4 (.f64 y y))))) (.f64 x x)) (fma.f64 (+.f64 (/.f64 1 (-.f64 4 (.f64 y y))) (.f64 -4 (/.f64 y (pow.f64 (-.f64 4 (.f64 y y)) 2)))) x (fma.f64 (-.f64 (.f64 4 (/.f64 y (pow.f64 (-.f64 4 (.f64 y y)) 3))) (+.f64 (/.f64 1 (pow.f64 (-.f64 4 (.f64 y y)) 2)) (.f64 4 (/.f64 (fma.f64 -1 (/.f64 y (pow.f64 (-.f64 4 (.f64 y y)) 2)) (.f64 -4 (/.f64 (+.f64 (/.f64 1 (-.f64 4 (.f64 y y))) (.f64 -4 (/.f64 y (pow.f64 (-.f64 4 (.f64 y y)) 2)))) (-.f64 4 (.f64 y y))))) (-.f64 4 (.f64 y y)))))) (pow.f64 x 3) (/.f64 (neg.f64 y) (-.f64 4 (*.f64 y y))))))
(-.f64 (-.f64 (fma.f64 (+.f64 (/.f64 1 (-.f64 4 (.f64 y y))) (.f64 (/.f64 y (pow.f64 (-.f64 4 (.f64 y y)) 2)) -4)) x (.f64 (-.f64 (.f64 4 (/.f64 y (pow.f64 (-.f64 4 (.f64 y y)) 3))) (fma.f64 4 (/.f64 (-.f64 (.f64 -4 (-.f64 (/.f64 1 (pow.f64 (-.f64 4 (.f64 y y)) 2)) (.f64 4 (/.f64 y (pow.f64 (-.f64 4 (.f64 y y)) 3))))) (/.f64 y (pow.f64 (-.f64 4 (.f64 y y)) 2))) (-.f64 4 (.f64 y y))) (/.f64 1 (pow.f64 (-.f64 4 (.f64 y y)) 2)))) (pow.f64 x 3))) (/.f64 y (-.f64 4 (.f64 y y)))) (.f64 x (.f64 x (-.f64 (.f64 -4 (-.f64 (/.f64 1 (pow.f64 (-.f64 4 (.f64 y y)) 2)) (.f64 4 (/.f64 y (pow.f64 (-.f64 4 (.f64 y y)) 3))))) (/.f64 y (pow.f64 (-.f64 4 (*.f64 y y)) 2))))))
(-.f64 (-.f64 (fma.f64 (+.f64 (/.f64 1 (neg.f64 (fma.f64 y y -4))) (.f64 (/.f64 y (pow.f64 (neg.f64 (fma.f64 y y -4)) 2)) -4)) x (.f64 (+.f64 (.f64 4 (-.f64 (/.f64 y (pow.f64 (neg.f64 (fma.f64 y y -4)) 3)) (-.f64 (/.f64 (.f64 -4 (+.f64 (/.f64 1 (pow.f64 (neg.f64 (fma.f64 y y -4)) 2)) (/.f64 (.f64 y -4) (pow.f64 (neg.f64 (fma.f64 y y -4)) 3)))) (neg.f64 (fma.f64 y y -4))) (/.f64 y (pow.f64 (neg.f64 (fma.f64 y y -4)) 3))))) (/.f64 -1 (pow.f64 (neg.f64 (fma.f64 y y -4)) 2))) (pow.f64 x 3))) (/.f64 y (neg.f64 (fma.f64 y y -4)))) (.f64 (fma.f64 -4 (+.f64 (/.f64 1 (pow.f64 (neg.f64 (fma.f64 y y -4)) 2)) (/.f64 (.f64 y -4) (pow.f64 (neg.f64 (fma.f64 y y -4)) 3))) (/.f64 (neg.f64 y) (pow.f64 (neg.f64 (fma.f64 y y -4)) 2))) (.f64 x x)))
(/.f64 1 x)
(+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (.f64 -1 (/.f64 y (pow.f64 x 2)))))
(+.f64 (+.f64 (/.f64 1 x) (neg.f64 (/.f64 y (.f64 x x)))) (/.f64 4 (.f64 x x)))
(+.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 y x) x)) (/.f64 4 (*.f64 x x)))
(-.f64 (/.f64 1 x) (/.f64 (+.f64 y -4) (*.f64 x x)))
(-.f64 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 3)) (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (.f64 -1 (/.f64 y (pow.f64 x 2)))))) (+.f64 (.f64 -4 (/.f64 (+.f64 4 (.f64 -1 y)) (pow.f64 x 3))) (*.f64 4 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 (+.f64 (+.f64 (/.f64 1 x) (neg.f64 (/.f64 y (.f64 x x)))) (/.f64 4 (.f64 x x))) (/.f64 (*.f64 y y) (pow.f64 x 3))) (fma.f64 -4 (/.f64 (+.f64 4 (neg.f64 y)) (pow.f64 x 3)) (/.f64 4 (pow.f64 x 3))))
(+.f64 (+.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 y x) x)) (/.f64 4 (*.f64 x x))) (-.f64 (/.f64 y (/.f64 (pow.f64 x 3) y)) (fma.f64 -4 (/.f64 (-.f64 4 y) (pow.f64 x 3)) (/.f64 4 (pow.f64 x 3)))))
(+.f64 (-.f64 (/.f64 1 x) (/.f64 (+.f64 y -4) (.f64 x x))) (-.f64 (.f64 (/.f64 y (pow.f64 x 3)) y) (fma.f64 4 (/.f64 (+.f64 y -4) (pow.f64 x 3)) (/.f64 4 (pow.f64 x 3)))))
(-.f64 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 3)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -4 (-.f64 (pow.f64 y 2) (+.f64 (.f64 -4 (+.f64 4 (.f64 -1 y))) 4))) (.f64 (+.f64 4 (.f64 -1 y)) (-.f64 4 (pow.f64 y 2)))) (pow.f64 x 4))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (.f64 -1 (/.f64 y (pow.f64 x 2))))))) (+.f64 (.f64 -4 (/.f64 (+.f64 4 (.f64 -1 y)) (pow.f64 x 3))) (*.f64 4 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 (.f64 y y) (pow.f64 x 3)) (-.f64 (fma.f64 -1 (/.f64 (fma.f64 -4 (-.f64 (.f64 y y) (fma.f64 -4 (+.f64 4 (neg.f64 y)) 4)) (.f64 (-.f64 4 (.f64 y y)) (+.f64 4 (neg.f64 y)))) (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 1 x) (neg.f64 (/.f64 y (.f64 x x)))) (/.f64 4 (.f64 x x)))) (fma.f64 -4 (/.f64 (+.f64 4 (neg.f64 y)) (pow.f64 x 3)) (/.f64 4 (pow.f64 x 3)))))
(+.f64 (/.f64 y (/.f64 (pow.f64 x 3) y)) (-.f64 (-.f64 (+.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 y x) x)) (/.f64 4 (.f64 x x))) (/.f64 (fma.f64 -4 (-.f64 (.f64 y y) (+.f64 -12 (.f64 y 4))) (.f64 (-.f64 4 (*.f64 y y)) (-.f64 4 y))) (pow.f64 x 4))) (fma.f64 -4 (/.f64 (-.f64 4 y) (pow.f64 x 3)) (/.f64 4 (pow.f64 x 3)))))
(+.f64 (.f64 (/.f64 y (pow.f64 x 3)) y) (-.f64 (-.f64 (-.f64 (/.f64 1 x) (/.f64 (+.f64 y -4) (.f64 x x))) (/.f64 (fma.f64 -4 (fma.f64 y y (+.f64 12 (.f64 y -4))) (.f64 (neg.f64 (fma.f64 y y -4)) (-.f64 4 y))) (pow.f64 x 4))) (fma.f64 4 (/.f64 (+.f64 y -4) (pow.f64 x 3)) (/.f64 4 (pow.f64 x 3)))))
(/.f64 1 x)
(+.f64 (*.f64 -1 (/.f64 (-.f64 y 4) (pow.f64 x 2))) (/.f64 1 x))
(+.f64 (+.f64 (/.f64 1 x) (neg.f64 (/.f64 y (.f64 x x)))) (/.f64 4 (.f64 x x)))
(+.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 y x) x)) (/.f64 4 (*.f64 x x)))
(-.f64 (/.f64 1 x) (/.f64 (+.f64 y -4) (*.f64 x x)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (-.f64 y 4) (pow.f64 x 2))) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 3)) (/.f64 1 x))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 3))) (*.f64 4 (/.f64 (-.f64 y 4) (pow.f64 x 3)))))
(-.f64 (+.f64 (+.f64 (+.f64 (/.f64 1 x) (neg.f64 (/.f64 y (.f64 x x)))) (/.f64 4 (.f64 x x))) (/.f64 (*.f64 y y) (pow.f64 x 3))) (fma.f64 -4 (/.f64 (+.f64 4 (neg.f64 y)) (pow.f64 x 3)) (/.f64 4 (pow.f64 x 3))))
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1
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(-.f64 (+.f64 (/.f64 2 y) (+.f64 1 (neg.f64 (/.f64 x y)))) (/.f64 x y))
(+.f64 (-.f64 1 (/.f64 x y)) (-.f64 (/.f64 2 y) (/.f64 x y)))
(+.f64 (/.f64 2 y) (+.f64 1 (*.f64 (/.f64 x y) -2)))
(-.f64 (+.f64 1 (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 2 x) x) (pow.f64 y 2))) (+.f64 (.f64 2 (/.f64 1 y)) (.f64 -1 (/.f64 x y))))) (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 (pow.f64 (-.f64 2 x) 2) (pow.f64 y 2)))))
(+.f64 1 (-.f64 (fma.f64 -1 (/.f64 (fma.f64 -1 (-.f64 2 x) x) y) (neg.f64 (/.f64 (-.f64 2 x) (/.f64 (.f64 y y) x)))) (neg.f64 (/.f64 (pow.f64 (-.f64 2 x) 2) (.f64 y y)))))
(+.f64 (-.f64 (-.f64 1 (/.f64 (-.f64 x (-.f64 2 x)) y)) (.f64 (/.f64 x y) (/.f64 (-.f64 2 x) y))) (/.f64 (pow.f64 (-.f64 2 x) 2) (.f64 y y)))
(+.f64 1 (+.f64 (+.f64 (/.f64 (+.f64 2 (.f64 x -2)) y) (.f64 (/.f64 (+.f64 x -2) (.f64 y y)) x)) (/.f64 (pow.f64 (-.f64 2 x) 2) (.f64 y y))))
(-.f64 (+.f64 1 (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 2 x) x) (pow.f64 y 2))) (+.f64 (/.f64 (.f64 (-.f64 (+.f64 2 (.f64 -1 x)) x) (pow.f64 (-.f64 2 x) 2)) (pow.f64 y 3)) (+.f64 (.f64 2 (/.f64 1 y)) (.f64 -1 (/.f64 x y)))))) (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 (pow.f64 (-.f64 2 x) 2) (pow.f64 y 2)))))
(+.f64 1 (-.f64 (fma.f64 -1 (/.f64 (-.f64 2 x) (/.f64 (.f64 y y) x)) (+.f64 (+.f64 (/.f64 2 y) (neg.f64 (/.f64 x y))) (/.f64 (-.f64 (-.f64 2 x) x) (/.f64 (pow.f64 y 3) (pow.f64 (-.f64 2 x) 2))))) (+.f64 (neg.f64 (/.f64 (pow.f64 (-.f64 2 x) 2) (.f64 y y))) (/.f64 x y))))
(+.f64 (+.f64 (+.f64 (-.f64 (-.f64 (/.f64 2 y) (/.f64 x y)) (.f64 (/.f64 x y) (/.f64 (-.f64 2 x) y))) (.f64 (/.f64 (-.f64 2 (+.f64 x x)) (pow.f64 y 3)) (pow.f64 (-.f64 2 x) 2))) (-.f64 1 (/.f64 x y))) (/.f64 (pow.f64 (-.f64 2 x) 2) (*.f64 y y)))
(+.f64 1 (+.f64 (+.f64 (.f64 (/.f64 (+.f64 2 (.f64 x -2)) (pow.f64 y 3)) (pow.f64 (-.f64 2 x) 2)) (/.f64 (-.f64 2 x) y)) (-.f64 (.f64 (/.f64 (+.f64 x -2) (.f64 y y)) x) (-.f64 (/.f64 x y) (/.f64 (pow.f64 (-.f64 2 x) 2) (*.f64 y y))))))
4
(+.f64 4 (*.f64 -4 x))
(+.f64 4 (*.f64 x -4))
(fma.f64 x -4 4)
(+.f64 4 (+.f64 (*.f64 -4 x) (pow.f64 x 2)))
(+.f64 4 (fma.f64 -4 x (*.f64 x x)))
(+.f64 4 (*.f64 x (+.f64 x -4)))
(+.f64 4 (+.f64 (*.f64 -4 x) (pow.f64 x 2)))
(+.f64 4 (fma.f64 -4 x (*.f64 x x)))
(+.f64 4 (*.f64 x (+.f64 x -4)))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 -4 x) (pow.f64 x 2))
(fma.f64 -4 x (*.f64 x x))
(*.f64 x (+.f64 x -4))
(+.f64 4 (+.f64 (*.f64 -4 x) (pow.f64 x 2)))
(+.f64 4 (fma.f64 -4 x (*.f64 x x)))
(+.f64 4 (*.f64 x (+.f64 x -4)))
(+.f64 4 (+.f64 (*.f64 -4 x) (pow.f64 x 2)))
(+.f64 4 (fma.f64 -4 x (*.f64 x x)))
(+.f64 4 (*.f64 x (+.f64 x -4)))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 -4 x) (pow.f64 x 2))
(fma.f64 -4 x (*.f64 x x))
(*.f64 x (+.f64 x -4))
(+.f64 4 (+.f64 (*.f64 -4 x) (pow.f64 x 2)))
(+.f64 4 (fma.f64 -4 x (*.f64 x x)))
(+.f64 4 (*.f64 x (+.f64 x -4)))
(+.f64 4 (+.f64 (*.f64 -4 x) (pow.f64 x 2)))
(+.f64 4 (fma.f64 -4 x (*.f64 x x)))
(+.f64 4 (*.f64 x (+.f64 x -4)))

eval1.4s (13.2%)

Compiler: Compiled 35482 to 20672 computations (41.7% saved)

prune481.0ms (4.4%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	1135	11	1146
Fresh	5	1	6
Picked	1	0	1
Done	3	2	5
Total	1144	14	1158

Error

Counts

1158 → 14

Alt Table

Click to see full alt table

Status	Error	Program
	38.8b	1
	0.1b	(/.f64 (/.f64 1 (-.f64 (-.f64 2 x) y)) (/.f64 1 (-.f64 x y)))
▶	0.1b	(/.f64 1 (/.f64 (-.f64 (-.f64 2 x) y) (-.f64 x y)))
	23.1b	(*.f64 (/.f64 1 (-.f64 2 y)) (-.f64 x y))
	31.0b	(/.f64 (neg.f64 y) (-.f64 2 y))
✓	32.2b	(/.f64 x (-.f64 2 x))
	39.0b	(*.f64 (/.f64 -1 y) (-.f64 x y))
	38.9b	(+.f64 (-.f64 1 (/.f64 x y)) (*.f64 (/.f64 (-.f64 2 x) y) (-.f64 (/.f64 (-.f64 (-.f64 2 x) x) y) -1)))
▶	32.3b	(*.f64 (/.f64 1 (-.f64 2 x)) x)
	40.8b	-1
✓	0.0b	(/.f64 (-.f64 x y) (-.f64 (-.f64 2 x) y))
▶	41.1b	(*.f64 (/.f64 -1 x) (-.f64 x y))
▶	45.5b	(.f64 (/.f64 x (-.f64 4 (.f64 x x))) (+.f64 x 2))
▶	54.5b	(*.f64 1/2 x)

Compiler

Compiled 254 to 182 computations (28.3% saved)

localize58.0ms (0.5%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 (-.f64 2 x) y) (-.f64 x y))
✓	0.1b	(/.f64 1 (/.f64 (-.f64 (-.f64 2 x) y) (-.f64 x y)))

Compiler

Compiled 37 to 20 computations (45.9% saved)

series8.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(/.f64 1 (/.f64 (-.f64 (-.f64 2 x) y) (-.f64 x y)))
1.0ms	y	@	inf	(/.f64 1 (/.f64 (-.f64 (-.f64 2 x) y) (-.f64 x y)))
1.0ms	y	@	0	(/.f64 1 (/.f64 (-.f64 (-.f64 2 x) y) (-.f64 x y)))
1.0ms	x	@	0	(/.f64 (-.f64 (-.f64 2 x) y) (-.f64 x y))
1.0ms	y	@	0	(/.f64 (-.f64 (-.f64 2 x) y) (-.f64 x y))

rewrite103.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

595×	`log-prod_binary64`
398×	`fma-def_binary64`
324×	`pow2_binary64`
223×	`pow1/3_binary64`
219×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	29
1	241	26
2	3682	26

Stop Event

1×	node limit

Counts

2 → 111

Calls

Call 1

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

Outputs

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

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

simplify181.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

723×	`associate-/l*_binary64`
646×	`associate-/r*_binary64`
327×	`distribute-rgt-in_binary64`
308×	`distribute-lft-in_binary64`
284×	`associate-*l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	194	1684
1	650	1554
2	2524	1308

Stop Event

1×	node limit

Counts

159 → 176

Calls

Call 1

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

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

localize7.0ms (0.1%)

Compiler: Compiled 7 to 5 computations (28.6% saved)

localize14.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 (/.f64 -1 x) (-.f64 x y))

Compiler

Compiled 18 to 9 computations (50% saved)

series8.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite99.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

868×	`pow1_binary64`
806×	`add-log-exp_binary64`
806×	`log1p-expm1-u_binary64`
806×	`expm1-log1p-u_binary64`
790×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	153	9
2	2136	9

Stop Event

1×	node limit

Counts

1 → 40

Calls

Call 1

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

Outputs

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

simplify20.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`
1×	`sub-neg_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	141
1	11	141
2	12	141

Stop Event

1×

saturated

Counts

64 → 44

Calls

Call 1

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

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

localize17.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1 (-.f64 2 x))
✓	0.1b	(*.f64 (/.f64 1 (-.f64 2 x)) x)

Compiler

Compiled 20 to 15 computations (25% saved)

series4.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(/.f64 1 (-.f64 2 x))
1.0ms	x	@	0	(*.f64 (/.f64 1 (-.f64 2 x)) x)
1.0ms	x	@	0	(/.f64 1 (-.f64 2 x))
1.0ms	x	@	-inf	(/.f64 1 (-.f64 2 x))
1.0ms	x	@	inf	(*.f64 (/.f64 1 (-.f64 2 x)) x)

rewrite111.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

755×	`pow1_binary64`
706×	`add-log-exp_binary64`
705×	`log1p-expm1-u_binary64`
705×	`expm1-log1p-u_binary64`
694×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	14
1	152	14
2	1910	14

Stop Event

1×	node limit

Counts

2 → 45

Calls

Call 1

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1 (-.f64 2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (-.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (-.f64 2 x))) (cbrt.f64 (pow.f64 (-.f64 2 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (-.f64 2 x) -2)) (/.f64 1 (cbrt.f64 (-.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 2 x) -1/2) (pow.f64 (-.f64 2 x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (-.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 2 x)) 2) -1) (pow.f64 (cbrt.f64 (-.f64 2 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (-.f64 2 x)) -1) (pow.f64 (sqrt.f64 (-.f64 2 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 8 (pow.f64 x 3))) (+.f64 4 (*.f64 x (+.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 4 (*.f64 x x))) (+.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 2 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (-.f64 2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (-.f64 2 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (-.f64 2 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 2 x) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 2 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (-.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (-.f64 2 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (-.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (-.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (-.f64 2 x))))))))

simplify121.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

798×	`fma-def_binary64`
507×	`associate-/l*_binary64`
342×	`distribute-neg-frac_binary64`
303×	`*-commutative_binary64`
300×	`sub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	57	363
1	167	335
2	503	324
3	1625	312
4	4910	312

Stop Event

1×	node limit

Counts

69 → 73

Calls

Call 1

Inputs
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 1/4 (pow.f64 x 2)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/4 (pow.f64 x 2)) (*.f64 1/8 (pow.f64 x 3))))
(+.f64 (.f64 1/16 (pow.f64 x 4)) (+.f64 (.f64 1/2 x) (+.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 1/8 (pow.f64 x 3)))))
-1
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 1 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 4 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 1 (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 2 (/.f64 1 x)) (*.f64 4 (/.f64 1 (pow.f64 x 2)))))))
-1
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 1 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 4 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 1 (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 2 (/.f64 1 x)) (*.f64 4 (/.f64 1 (pow.f64 x 2)))))))
1/2
(+.f64 1/2 (*.f64 1/4 x))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 1/2 (.f64 1/4 x)))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 1/2 (+.f64 (.f64 1/4 x) (*.f64 1/16 (pow.f64 x 3)))))
(/.f64 -1 x)
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)))
(neg.f64 (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 x) (.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 x) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))))
(/.f64 -1 x)
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)))
(neg.f64 (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 x) (.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 x) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))))

Outputs
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 1/4 (pow.f64 x 2)))
(fma.f64 1/2 x (.f64 1/4 (.f64 x x)))
(fma.f64 1/2 x (.f64 x (.f64 x 1/4)))
(*.f64 x (fma.f64 x 1/4 1/2))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/4 (pow.f64 x 2)) (*.f64 1/8 (pow.f64 x 3))))
(fma.f64 1/2 x (fma.f64 1/4 (.f64 x x) (.f64 1/8 (pow.f64 x 3))))
(fma.f64 1/2 x (fma.f64 1/8 (pow.f64 x 3) (.f64 x (.f64 x 1/4))))
(fma.f64 1/8 (pow.f64 x 3) (*.f64 x (fma.f64 x 1/4 1/2)))
(*.f64 x (fma.f64 x (fma.f64 x 1/8 1/4) 1/2))
(+.f64 (.f64 1/16 (pow.f64 x 4)) (+.f64 (.f64 1/2 x) (+.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 1/8 (pow.f64 x 3)))))
(fma.f64 1/16 (pow.f64 x 4) (fma.f64 1/2 x (fma.f64 1/4 (.f64 x x) (.f64 1/8 (pow.f64 x 3)))))
(fma.f64 1/16 (pow.f64 x 4) (fma.f64 1/2 x (fma.f64 1/8 (pow.f64 x 3) (.f64 x (.f64 x 1/4)))))
(fma.f64 1/16 (pow.f64 x 4) (fma.f64 1/8 (pow.f64 x 3) (*.f64 x (fma.f64 x 1/4 1/2))))
(fma.f64 x (fma.f64 x 1/4 1/2) (*.f64 (pow.f64 x 3) (fma.f64 x 1/16 1/8)))
(*.f64 x (fma.f64 x (fma.f64 x 1/8 1/4) (fma.f64 (pow.f64 x 3) 1/16 1/2)))
-1
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 1 (/.f64 2 x)))
(+.f64 -1 (/.f64 -2 x))
(-.f64 -1 (/.f64 2 x))
(neg.f64 (+.f64 1 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 -1 (neg.f64 (+.f64 (/.f64 2 x) (/.f64 4 (*.f64 x x)))))
(-.f64 -1 (+.f64 (/.f64 2 x) (/.f64 4 (*.f64 x x))))
(+.f64 -1 (+.f64 (/.f64 -2 x) (/.f64 -4 (*.f64 x x))))
(+.f64 -1 (+.f64 (/.f64 -2 x) (/.f64 (/.f64 -4 x) x)))
(neg.f64 (+.f64 1 (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 2 (/.f64 1 x)) (*.f64 4 (/.f64 1 (pow.f64 x 2)))))))
(neg.f64 (+.f64 1 (+.f64 (+.f64 (/.f64 8 (pow.f64 x 3)) (/.f64 2 x)) (/.f64 4 (*.f64 x x)))))
(-.f64 -1 (+.f64 (+.f64 (/.f64 2 x) (/.f64 4 (*.f64 x x))) (/.f64 8 (pow.f64 x 3))))
(+.f64 -1 (+.f64 (+.f64 (/.f64 -2 x) (/.f64 -4 (*.f64 x x))) (/.f64 -8 (pow.f64 x 3))))
(+.f64 -1 (+.f64 (/.f64 -2 x) (+.f64 (/.f64 (/.f64 -4 x) x) (/.f64 -8 (pow.f64 x 3)))))
-1
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 1 (/.f64 2 x)))
(+.f64 -1 (/.f64 -2 x))
(-.f64 -1 (/.f64 2 x))
(neg.f64 (+.f64 1 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 -1 (neg.f64 (+.f64 (/.f64 2 x) (/.f64 4 (*.f64 x x)))))
(-.f64 -1 (+.f64 (/.f64 2 x) (/.f64 4 (*.f64 x x))))
(+.f64 -1 (+.f64 (/.f64 -2 x) (/.f64 -4 (*.f64 x x))))
(+.f64 -1 (+.f64 (/.f64 -2 x) (/.f64 (/.f64 -4 x) x)))
(neg.f64 (+.f64 1 (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 2 (/.f64 1 x)) (*.f64 4 (/.f64 1 (pow.f64 x 2)))))))
(neg.f64 (+.f64 1 (+.f64 (+.f64 (/.f64 8 (pow.f64 x 3)) (/.f64 2 x)) (/.f64 4 (*.f64 x x)))))
(-.f64 -1 (+.f64 (+.f64 (/.f64 2 x) (/.f64 4 (*.f64 x x))) (/.f64 8 (pow.f64 x 3))))
(+.f64 -1 (+.f64 (+.f64 (/.f64 -2 x) (/.f64 -4 (*.f64 x x))) (/.f64 -8 (pow.f64 x 3))))
(+.f64 -1 (+.f64 (/.f64 -2 x) (+.f64 (/.f64 (/.f64 -4 x) x) (/.f64 -8 (pow.f64 x 3)))))
1/2
(+.f64 1/2 (*.f64 1/4 x))
(+.f64 1/2 (*.f64 x 1/4))
(fma.f64 x 1/4 1/2)
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 1/2 (.f64 1/4 x)))
(fma.f64 1/8 (.f64 x x) (+.f64 1/2 (.f64 x 1/4)))
(fma.f64 (*.f64 x x) 1/8 (fma.f64 x 1/4 1/2))
(fma.f64 x 1/4 (fma.f64 x (*.f64 x 1/8) 1/2))
(fma.f64 x (fma.f64 x 1/8 1/4) 1/2)
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 1/2 (+.f64 (.f64 1/4 x) (*.f64 1/16 (pow.f64 x 3)))))
(fma.f64 1/8 (.f64 x x) (+.f64 1/2 (fma.f64 1/4 x (.f64 (pow.f64 x 3) 1/16))))
(+.f64 (fma.f64 (pow.f64 x 3) 1/16 (.f64 x 1/4)) (fma.f64 (.f64 x x) 1/8 1/2))
(fma.f64 x (*.f64 x 1/8) (fma.f64 (pow.f64 x 3) 1/16 (fma.f64 x 1/4 1/2)))
(fma.f64 x (fma.f64 x 1/8 1/4) (fma.f64 (pow.f64 x 3) 1/16 1/2))
(/.f64 -1 x)
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)))
(neg.f64 (+.f64 (/.f64 1 x) (/.f64 2 (*.f64 x x))))
(-.f64 (/.f64 -2 (*.f64 x x)) (/.f64 1 x))
(+.f64 (/.f64 (/.f64 -2 x) x) (/.f64 -1 x))
(neg.f64 (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 x) (.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (/.f64 4 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 2 (*.f64 x x)))))
(+.f64 (/.f64 -4 (pow.f64 x 3)) (-.f64 (/.f64 -2 (*.f64 x x)) (/.f64 1 x)))
(+.f64 (/.f64 -2 (*.f64 x x)) (-.f64 (/.f64 -4 (pow.f64 x 3)) (/.f64 1 x)))
(-.f64 (/.f64 (/.f64 -2 x) x) (-.f64 (/.f64 1 x) (/.f64 -4 (pow.f64 x 3))))
(neg.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 x) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))))
(neg.f64 (+.f64 (+.f64 (/.f64 4 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 2 (*.f64 x x)))) (/.f64 8 (pow.f64 x 4))))
(+.f64 (+.f64 (/.f64 -4 (pow.f64 x 3)) (-.f64 (/.f64 -2 (*.f64 x x)) (/.f64 1 x))) (/.f64 -8 (pow.f64 x 4)))
(+.f64 (+.f64 (/.f64 -2 (*.f64 x x)) (-.f64 (/.f64 -4 (pow.f64 x 3)) (/.f64 1 x))) (/.f64 -8 (pow.f64 x 4)))
(+.f64 (-.f64 (/.f64 (/.f64 -2 x) x) (-.f64 (/.f64 1 x) (/.f64 -4 (pow.f64 x 3)))) (/.f64 -8 (pow.f64 x 4)))
(/.f64 -1 x)
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)))
(neg.f64 (+.f64 (/.f64 1 x) (/.f64 2 (*.f64 x x))))
(-.f64 (/.f64 -2 (*.f64 x x)) (/.f64 1 x))
(+.f64 (/.f64 (/.f64 -2 x) x) (/.f64 -1 x))
(neg.f64 (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 x) (.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (/.f64 4 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 2 (*.f64 x x)))))
(+.f64 (/.f64 -4 (pow.f64 x 3)) (-.f64 (/.f64 -2 (*.f64 x x)) (/.f64 1 x)))
(+.f64 (/.f64 -2 (*.f64 x x)) (-.f64 (/.f64 -4 (pow.f64 x 3)) (/.f64 1 x)))
(-.f64 (/.f64 (/.f64 -2 x) x) (-.f64 (/.f64 1 x) (/.f64 -4 (pow.f64 x 3))))
(neg.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 x) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))))
(neg.f64 (+.f64 (+.f64 (/.f64 4 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 2 (*.f64 x x)))) (/.f64 8 (pow.f64 x 4))))
(+.f64 (+.f64 (/.f64 -4 (pow.f64 x 3)) (-.f64 (/.f64 -2 (*.f64 x x)) (/.f64 1 x))) (/.f64 -8 (pow.f64 x 4)))
(+.f64 (+.f64 (/.f64 -2 (*.f64 x x)) (-.f64 (/.f64 -4 (pow.f64 x 3)) (/.f64 1 x))) (/.f64 -8 (pow.f64 x 4)))
(+.f64 (-.f64 (/.f64 (/.f64 -2 x) x) (-.f64 (/.f64 1 x) (/.f64 -4 (pow.f64 x 3)))) (/.f64 -8 (pow.f64 x 4)))

localize25.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (/.f64 x (-.f64 4 (.f64 x x))) (+.f64 x 2))
✓	13.8b	(/.f64 x (-.f64 4 (*.f64 x x)))

Compiler

Compiled 34 to 18 computations (47.1% saved)

series5.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(/.f64 x (-.f64 4 (*.f64 x x)))
1.0ms	x	@	inf	(/.f64 x (-.f64 4 (*.f64 x x)))
1.0ms	x	@	-inf	(/.f64 x (-.f64 4 (*.f64 x x)))
1.0ms	x	@	0	(.f64 (/.f64 x (-.f64 4 (.f64 x x))) (+.f64 x 2))
1.0ms	x	@	-inf	(.f64 (/.f64 x (-.f64 4 (.f64 x x))) (+.f64 x 2))

rewrite149.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

512×	`log-prod_binary64`
368×	`prod-diff_binary64`
346×	`pow-prod-down_binary64`
277×	`pow2_binary64`
237×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	26
1	216	26
2	3150	23

Stop Event

1×	node limit

Counts

2 → 117

Calls

Call 1

Inputs
(/.f64 x (-.f64 4 (*.f64 x x)))
(.f64 (/.f64 x (-.f64 4 (.f64 x x))) (+.f64 x 2))

Outputs

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x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x (-.f64 4 (*.f64 x x))) 2 (/.f64 x (-.f64 (/.f64 4 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 (/.f64 x (-.f64 4 (*.f64 x x))) (/.f64 x (-.f64 (/.f64 4 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 x (-.f64 (/.f64 4 x) x)) (/.f64 2 (-.f64 (/.f64 4 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 2 (-.f64 (/.f64 4 x) x)) (/.f64 x (-.f64 (/.f64 4 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) (/.f64 x (-.f64 4 (*.f64 x x)))) (/.f64 2 (-.f64 (/.f64 4 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (-.f64 (/.f64 4 x) x) -2)) (*.f64 (/.f64 1 (cbrt.f64 (-.f64 (/.f64 4 x) x))) x) (/.f64 2 (-.f64 (/.f64 4 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (-.f64 (/.f64 4 x) x) -2)) (*.f64 (/.f64 1 (cbrt.f64 (-.f64 (/.f64 4 x) x))) 2) (/.f64 x (-.f64 (/.f64 4 x) 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simplify81.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

838×	`fma-def_binary64`
823×	`times-frac_binary64`
567×	`cancel-sign-sub-inv_binary64`
346×	`distribute-neg-frac_binary64`
318×	`sub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	67	378
1	191	354
2	545	351
3	1729	343
4	5045	343

Stop Event

1×	node limit

Counts

141 → 146

Calls

Call 1

Inputs
(*.f64 1/4 x)
(+.f64 (.f64 1/16 (pow.f64 x 3)) (.f64 1/4 x))
(+.f64 (.f64 1/64 (pow.f64 x 5)) (+.f64 (.f64 1/16 (pow.f64 x 3)) (*.f64 1/4 x)))
(+.f64 (.f64 1/64 (pow.f64 x 5)) (+.f64 (.f64 1/16 (pow.f64 x 3)) (+.f64 (.f64 1/256 (pow.f64 x 7)) (.f64 1/4 x))))
(/.f64 -1 x)
(neg.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)))
(neg.f64 (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 16 (/.f64 1 (pow.f64 x 5))) (/.f64 1 x))))
(neg.f64 (+.f64 (.f64 64 (/.f64 1 (pow.f64 x 7))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 16 (/.f64 1 (pow.f64 x 5))) (/.f64 1 x)))))
(/.f64 -1 x)
(neg.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)))
(neg.f64 (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 16 (/.f64 1 (pow.f64 x 5))) (/.f64 1 x))))
(neg.f64 (+.f64 (.f64 64 (/.f64 1 (pow.f64 x 7))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 16 (/.f64 1 (pow.f64 x 5))) (/.f64 1 x)))))
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 1/4 (pow.f64 x 2)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/4 (pow.f64 x 2)) (*.f64 1/8 (pow.f64 x 3))))
(+.f64 (.f64 1/16 (pow.f64 x 4)) (+.f64 (.f64 1/2 x) (+.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 1/8 (pow.f64 x 3)))))
-1
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 1 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 4 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 1 (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 2 (/.f64 1 x)) (*.f64 4 (/.f64 1 (pow.f64 x 2)))))))
-1
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 1 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 4 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 1 (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 2 (/.f64 1 x)) (*.f64 4 (/.f64 1 (pow.f64 x 2)))))))

Outputs
(*.f64 1/4 x)
(+.f64 (.f64 1/16 (pow.f64 x 3)) (.f64 1/4 x))
(fma.f64 1/16 (pow.f64 x 3) (*.f64 1/4 x))
(fma.f64 1/4 x (*.f64 1/16 (pow.f64 x 3)))
(+.f64 (.f64 1/64 (pow.f64 x 5)) (+.f64 (.f64 1/16 (pow.f64 x 3)) (*.f64 1/4 x)))
(fma.f64 1/64 (pow.f64 x 5) (fma.f64 1/16 (pow.f64 x 3) (*.f64 1/4 x)))
(fma.f64 1/16 (pow.f64 x 3) (fma.f64 1/64 (pow.f64 x 5) (*.f64 1/4 x)))
(fma.f64 x (fma.f64 x (.f64 x 1/16) 1/4) (.f64 1/64 (pow.f64 x 5)))
(+.f64 (.f64 1/64 (pow.f64 x 5)) (+.f64 (.f64 1/16 (pow.f64 x 3)) (+.f64 (.f64 1/256 (pow.f64 x 7)) (.f64 1/4 x))))
(fma.f64 1/64 (pow.f64 x 5) (fma.f64 1/16 (pow.f64 x 3) (fma.f64 1/256 (pow.f64 x 7) (*.f64 1/4 x))))
(fma.f64 1/16 (pow.f64 x 3) (fma.f64 1/64 (pow.f64 x 5) (fma.f64 1/256 (pow.f64 x 7) (*.f64 1/4 x))))
(fma.f64 x (fma.f64 x (.f64 x 1/16) 1/4) (fma.f64 1/64 (pow.f64 x 5) (.f64 1/256 (pow.f64 x 7))))
(/.f64 -1 x)
(neg.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)))
(neg.f64 (+.f64 (/.f64 4 (pow.f64 x 3)) (/.f64 1 x)))
(+.f64 (/.f64 -4 (pow.f64 x 3)) (/.f64 -1 x))
(neg.f64 (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 16 (/.f64 1 (pow.f64 x 5))) (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 4 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 16 (pow.f64 x 5)))))
(-.f64 (/.f64 -4 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 16 (pow.f64 x 5))))
(+.f64 (+.f64 (/.f64 -4 (pow.f64 x 3)) (/.f64 -1 x)) (/.f64 -16 (pow.f64 x 5)))
(neg.f64 (+.f64 (.f64 64 (/.f64 1 (pow.f64 x 7))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 16 (/.f64 1 (pow.f64 x 5))) (/.f64 1 x)))))
(neg.f64 (+.f64 (+.f64 (/.f64 4 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 16 (pow.f64 x 5)))) (/.f64 64 (pow.f64 x 7))))
(+.f64 (-.f64 (/.f64 -4 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 16 (pow.f64 x 5)))) (/.f64 -64 (pow.f64 x 7)))
(+.f64 (+.f64 (+.f64 (/.f64 -4 (pow.f64 x 3)) (/.f64 -1 x)) (/.f64 -16 (pow.f64 x 5))) (/.f64 -64 (pow.f64 x 7)))
(+.f64 (+.f64 (/.f64 -4 (pow.f64 x 3)) (/.f64 -1 x)) (+.f64 (/.f64 -16 (pow.f64 x 5)) (/.f64 -64 (pow.f64 x 7))))
(+.f64 (+.f64 (/.f64 -4 (pow.f64 x 3)) (/.f64 -1 x)) (+.f64 (/.f64 -64 (pow.f64 x 7)) (/.f64 -16 (pow.f64 x 5))))
(/.f64 -1 x)
(neg.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)))
(neg.f64 (+.f64 (/.f64 4 (pow.f64 x 3)) (/.f64 1 x)))
(+.f64 (/.f64 -4 (pow.f64 x 3)) (/.f64 -1 x))
(neg.f64 (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 16 (/.f64 1 (pow.f64 x 5))) (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 4 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 16 (pow.f64 x 5)))))
(-.f64 (/.f64 -4 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 16 (pow.f64 x 5))))
(+.f64 (+.f64 (/.f64 -4 (pow.f64 x 3)) (/.f64 -1 x)) (/.f64 -16 (pow.f64 x 5)))
(neg.f64 (+.f64 (.f64 64 (/.f64 1 (pow.f64 x 7))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 16 (/.f64 1 (pow.f64 x 5))) (/.f64 1 x)))))
(neg.f64 (+.f64 (+.f64 (/.f64 4 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 16 (pow.f64 x 5)))) (/.f64 64 (pow.f64 x 7))))
(+.f64 (-.f64 (/.f64 -4 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 16 (pow.f64 x 5)))) (/.f64 -64 (pow.f64 x 7)))
(+.f64 (+.f64 (+.f64 (/.f64 -4 (pow.f64 x 3)) (/.f64 -1 x)) (/.f64 -16 (pow.f64 x 5))) (/.f64 -64 (pow.f64 x 7)))
(+.f64 (+.f64 (/.f64 -4 (pow.f64 x 3)) (/.f64 -1 x)) (+.f64 (/.f64 -16 (pow.f64 x 5)) (/.f64 -64 (pow.f64 x 7))))
(+.f64 (+.f64 (/.f64 -4 (pow.f64 x 3)) (/.f64 -1 x)) (+.f64 (/.f64 -64 (pow.f64 x 7)) (/.f64 -16 (pow.f64 x 5))))
(*.f64 1/2 x)
(*.f64 x 1/2)
(+.f64 (.f64 1/2 x) (.f64 1/4 (pow.f64 x 2)))
(fma.f64 1/2 x (.f64 1/4 (.f64 x x)))
(fma.f64 1/4 (.f64 x x) (.f64 x 1/2))
(.f64 x (+.f64 1/2 (.f64 1/4 x)))
(*.f64 x (fma.f64 1/4 x 1/2))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/4 (pow.f64 x 2)) (*.f64 1/8 (pow.f64 x 3))))
(fma.f64 1/2 x (fma.f64 1/4 (.f64 x x) (.f64 (pow.f64 x 3) 1/8)))
(fma.f64 x 1/2 (fma.f64 (pow.f64 x 3) 1/8 (.f64 1/4 (.f64 x x))))
(fma.f64 x 1/2 (.f64 (.f64 x x) (+.f64 1/4 (*.f64 x 1/8))))
(.f64 x (+.f64 1/2 (.f64 x (fma.f64 x 1/8 1/4))))
(+.f64 (.f64 1/16 (pow.f64 x 4)) (+.f64 (.f64 1/2 x) (+.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 1/8 (pow.f64 x 3)))))
(fma.f64 1/16 (pow.f64 x 4) (fma.f64 1/2 x (fma.f64 1/4 (.f64 x x) (.f64 (pow.f64 x 3) 1/8))))
(fma.f64 1/16 (pow.f64 x 4) (fma.f64 x 1/2 (fma.f64 (pow.f64 x 3) 1/8 (.f64 1/4 (.f64 x x)))))
(fma.f64 x 1/2 (fma.f64 1/16 (pow.f64 x 4) (.f64 (.f64 x x) (+.f64 1/4 (*.f64 x 1/8)))))
(fma.f64 x (fma.f64 1/4 x 1/2) (.f64 (pow.f64 x 3) (+.f64 1/8 (.f64 x 1/16))))
-1
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 1 (/.f64 2 x)))
(-.f64 -1 (/.f64 2 x))
(+.f64 -1 (/.f64 -2 x))
(neg.f64 (+.f64 1 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 -1 (neg.f64 (+.f64 (/.f64 2 x) (/.f64 4 (*.f64 x x)))))
(-.f64 -1 (+.f64 (/.f64 2 x) (/.f64 4 (*.f64 x x))))
(+.f64 -1 (-.f64 (/.f64 -2 x) (/.f64 4 (*.f64 x x))))
(neg.f64 (+.f64 1 (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 2 (/.f64 1 x)) (*.f64 4 (/.f64 1 (pow.f64 x 2)))))))
(neg.f64 (+.f64 1 (+.f64 (+.f64 (/.f64 2 x) (/.f64 4 (*.f64 x x))) (/.f64 8 (pow.f64 x 3)))))
(-.f64 -1 (+.f64 (/.f64 2 x) (+.f64 (/.f64 4 (*.f64 x x)) (/.f64 8 (pow.f64 x 3)))))
(+.f64 (-.f64 (/.f64 -2 x) (/.f64 4 (*.f64 x x))) (+.f64 -1 (/.f64 -8 (pow.f64 x 3))))
(+.f64 -1 (+.f64 (/.f64 -2 x) (+.f64 (/.f64 -4 (*.f64 x x)) (/.f64 -8 (pow.f64 x 3)))))
-1
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 1 (/.f64 2 x)))
(-.f64 -1 (/.f64 2 x))
(+.f64 -1 (/.f64 -2 x))
(neg.f64 (+.f64 1 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 -1 (neg.f64 (+.f64 (/.f64 2 x) (/.f64 4 (*.f64 x x)))))
(-.f64 -1 (+.f64 (/.f64 2 x) (/.f64 4 (*.f64 x x))))
(+.f64 -1 (-.f64 (/.f64 -2 x) (/.f64 4 (*.f64 x x))))
(neg.f64 (+.f64 1 (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 2 (/.f64 1 x)) (*.f64 4 (/.f64 1 (pow.f64 x 2)))))))
(neg.f64 (+.f64 1 (+.f64 (+.f64 (/.f64 2 x) (/.f64 4 (*.f64 x x))) (/.f64 8 (pow.f64 x 3)))))
(-.f64 -1 (+.f64 (/.f64 2 x) (+.f64 (/.f64 4 (*.f64 x x)) (/.f64 8 (pow.f64 x 3)))))
(+.f64 (-.f64 (/.f64 -2 x) (/.f64 4 (*.f64 x x))) (+.f64 -1 (/.f64 -8 (pow.f64 x 3))))
(+.f64 -1 (+.f64 (/.f64 -2 x) (+.f64 (/.f64 -4 (*.f64 x x)) (/.f64 -8 (pow.f64 x 3)))))

eval306.0ms (2.8%)

Compiler: Compiled 7674 to 4887 computations (36.3% saved)

prune128.0ms (1.2%)

Pruning

15 alts after pruning (10 fresh and 5 done)

	Pruned	Kept	Total
New	435	4	439
Fresh	1	6	7
Picked	1	0	1
Done	1	5	6
Total	438	15	453

Error

Counts

453 → 15

Alt Table

Click to see full alt table

Status	Error	Program
	39.0b	(*.f64 (/.f64 -1 y) (-.f64 x y))
▶	40.9b	(*.f64 (/.f64 -1 x) x)
	38.8b	1
▶	0.1b	(/.f64 (/.f64 1 (-.f64 (-.f64 2 x) y)) (/.f64 1 (-.f64 x y)))
✓	0.1b	(/.f64 1 (/.f64 (-.f64 (-.f64 2 x) y) (-.f64 x y)))
	23.1b	(*.f64 (/.f64 1 (-.f64 2 y)) (-.f64 x y))
▶	31.0b	(/.f64 (neg.f64 y) (-.f64 2 y))
✓	54.5b	(*.f64 1/2 x)
▶	32.2b	(/.f64 1 (+.f64 (/.f64 2 x) -1))
✓	32.2b	(/.f64 x (-.f64 2 x))
	40.8b	-1
▶	38.9b	(+.f64 (-.f64 1 (/.f64 x y)) (*.f64 (/.f64 (-.f64 2 x) y) (-.f64 (/.f64 (-.f64 (-.f64 2 x) x) y) -1)))
✓	32.3b	(*.f64 (/.f64 1 (-.f64 2 x)) x)
✓	0.0b	(/.f64 (-.f64 x y) (-.f64 (-.f64 2 x) y))
	41.1b	(-.f64 (/.f64 y x) 1)

Compiler

Compiled 229 to 168 computations (26.6% saved)

localize40.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1 (-.f64 x y))
✓	0.0b	(/.f64 1 (-.f64 (-.f64 2 x) y))
✓	0.1b	(/.f64 (/.f64 1 (-.f64 (-.f64 2 x) y)) (/.f64 1 (-.f64 x y)))

Compiler

Compiled 42 to 25 computations (40.5% saved)

series12.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(/.f64 1 (-.f64 x y))
1.0ms	x	@	0	(/.f64 (/.f64 1 (-.f64 (-.f64 2 x) y)) (/.f64 1 (-.f64 x y)))
1.0ms	x	@	inf	(/.f64 1 (-.f64 x y))
1.0ms	y	@	0	(/.f64 1 (-.f64 x y))
1.0ms	x	@	-inf	(/.f64 1 (-.f64 x y))

rewrite102.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

869×	`prod-diff_binary64`
614×	`log-prod_binary64`
396×	`fma-def_binary64`
233×	`expm1-udef_binary64`
233×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	36
1	264	30
2	3916	30

Stop Event

1×	node limit

Counts

3 → 99

Calls

Call 1

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

Outputs

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

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

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

simplify125.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

744×	`fma-def_binary64`
667×	`times-frac_binary64`
539×	`associate-/l*_binary64`
440×	`associate-/r*_binary64`
355×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	178	2092
1	532	2019
2	1940	1751

Stop Event

1×	node limit

Counts

171 → 176

Calls

Call 1

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

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

localize10.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 12 to 8 computations (33.3% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite67.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

462×	`pow1_binary64`
443×	`add-sqr-sqrt_binary64`
437×	`*-un-lft-identity_binary64`
425×	`add-log-exp_binary64`
425×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	102	6
2	1247	6

Stop Event

1×	node limit

Counts

1 → 18

Calls

Call 1

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

Outputs

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

simplify13.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	12

Stop Event

1×

saturated

Counts

30 → 19

Calls

Call 1

Inputs
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1

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

localize14.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (neg.f64 y) (-.f64 2 y))

Compiler

Compiled 15 to 9 computations (40% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite77.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

671×	`pow1_binary64`
631×	`add-log-exp_binary64`
629×	`log1p-expm1-u_binary64`
629×	`expm1-log1p-u_binary64`
620×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	9
1	142	7
2	2130	7

Stop Event

1×	node limit

Counts

1 → 38

Calls

Call 1

Inputs
(/.f64 (neg.f64 y) (-.f64 2 y))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 y (+.f64 y 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 y (+.f64 y 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 (+.f64 y 2)) (/.f64 y (+.f64 y 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 1 (+.f64 y 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 1 (+.f64 -2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (+.f64 y 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 y (+.f64 y 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 y (+.f64 y 2))) (pow.f64 (cbrt.f64 (/.f64 y (+.f64 y 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 y (+.f64 y 2))) 2) (cbrt.f64 (/.f64 y (+.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (/.f64 1 (+.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 y (+.f64 y 2))) (sqrt.f64 (/.f64 y (+.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 1 (+.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 y 2)) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 y (+.f64 y 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (+.f64 y 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 y 2)) 2)) (/.f64 y (cbrt.f64 (+.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (+.f64 y 2)) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (+.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 y 2))) (/.f64 y (sqrt.f64 (+.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (+.f64 y 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (+.f64 y 2)) 2)) (cbrt.f64 (/.f64 y (+.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (+.f64 y 2)) 2)) (/.f64 y (cbrt.f64 (+.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (+.f64 y 2))) (/.f64 (cbrt.f64 y) (sqrt.f64 (+.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sqrt.f64 (+.f64 y 2))) (/.f64 y (sqrt.f64 (+.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (+.f64 8 (pow.f64 y 3))) (+.f64 4 (*.f64 y (+.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (+.f64 4 (*.f64 y y))) (+.f64 y 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (+.f64 y 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 y (+.f64 y 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 y (+.f64 y 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 y (+.f64 y 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 y 2) y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 y (+.f64 y 2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 y (+.f64 y 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 y (+.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 y (+.f64 y 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (+.f64 y 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 y (+.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 y (+.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 y (+.f64 y 2))))))))

simplify66.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1033×	`fma-def_binary64`
805×	`unswap-sqr_binary64`
588×	`associate-/l*_binary64`
545×	`distribute-lft-out_binary64`
416×	`*-commutative_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	36	156
1	95	156
2	213	154
3	550	145
4	1648	140
5	4578	140
6	7882	140

Stop Event

1×	node limit

Counts

50 → 52

Calls

Call 1

Inputs
(*.f64 -1/2 y)
(+.f64 (.f64 -1/4 (pow.f64 y 2)) (.f64 -1/2 y))
(+.f64 (.f64 -1/4 (pow.f64 y 2)) (+.f64 (.f64 -1/2 y) (*.f64 -1/8 (pow.f64 y 3))))
(+.f64 (.f64 -1/4 (pow.f64 y 2)) (+.f64 (.f64 -1/2 y) (+.f64 (.f64 -1/16 (pow.f64 y 4)) (.f64 -1/8 (pow.f64 y 3)))))
1
(+.f64 (*.f64 2 (/.f64 1 y)) 1)
(+.f64 1 (+.f64 (.f64 4 (/.f64 1 (pow.f64 y 2))) (.f64 2 (/.f64 1 y))))
(+.f64 1 (+.f64 (.f64 4 (/.f64 1 (pow.f64 y 2))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 y 3))) (*.f64 2 (/.f64 1 y)))))
1
(+.f64 (*.f64 2 (/.f64 1 y)) 1)
(+.f64 1 (+.f64 (.f64 4 (/.f64 1 (pow.f64 y 2))) (.f64 2 (/.f64 1 y))))
(+.f64 1 (+.f64 (.f64 4 (/.f64 1 (pow.f64 y 2))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 y 3))) (*.f64 2 (/.f64 1 y)))))

Outputs
(*.f64 -1/2 y)
(+.f64 (.f64 -1/4 (pow.f64 y 2)) (.f64 -1/2 y))
(fma.f64 -1/4 (.f64 y y) (.f64 -1/2 y))
(fma.f64 -1/2 y (.f64 y (.f64 y -1/4)))
(.f64 y (+.f64 -1/2 (.f64 y -1/4)))
(*.f64 y (fma.f64 y -1/4 -1/2))
(+.f64 (.f64 -1/4 (pow.f64 y 2)) (+.f64 (.f64 -1/2 y) (*.f64 -1/8 (pow.f64 y 3))))
(fma.f64 -1/4 (.f64 y y) (fma.f64 -1/2 y (.f64 -1/8 (pow.f64 y 3))))
(fma.f64 -1/2 y (.f64 (.f64 y y) (+.f64 -1/4 (*.f64 y -1/8))))
(.f64 y (+.f64 -1/2 (.f64 y (fma.f64 y -1/8 -1/4))))
(*.f64 y (fma.f64 y (fma.f64 y -1/8 -1/4) -1/2))
(+.f64 (.f64 -1/4 (pow.f64 y 2)) (+.f64 (.f64 -1/2 y) (+.f64 (.f64 -1/16 (pow.f64 y 4)) (.f64 -1/8 (pow.f64 y 3)))))
(fma.f64 -1/4 (.f64 y y) (fma.f64 -1/2 y (fma.f64 -1/16 (pow.f64 y 4) (.f64 -1/8 (pow.f64 y 3)))))
(fma.f64 -1/4 (.f64 y y) (fma.f64 -1/2 y (fma.f64 -1/8 (pow.f64 y 3) (.f64 -1/16 (pow.f64 y 4)))))
(fma.f64 y (.f64 y -1/4) (fma.f64 -1/8 (pow.f64 y 3) (fma.f64 -1/16 (pow.f64 y 4) (.f64 -1/2 y))))
(fma.f64 -1/16 (pow.f64 y 4) (.f64 y (+.f64 -1/2 (.f64 y (fma.f64 y -1/8 -1/4)))))
(.f64 y (+.f64 -1/2 (.f64 y (fma.f64 y (fma.f64 y -1/16 -1/8) -1/4))))
1
(+.f64 (*.f64 2 (/.f64 1 y)) 1)
(+.f64 1 (/.f64 2 y))
(+.f64 1 (+.f64 (.f64 4 (/.f64 1 (pow.f64 y 2))) (.f64 2 (/.f64 1 y))))
(+.f64 1 (+.f64 (/.f64 2 y) (/.f64 4 (*.f64 y y))))
(+.f64 1 (+.f64 (/.f64 2 y) (/.f64 (/.f64 4 y) y)))
(+.f64 1 (+.f64 (.f64 4 (/.f64 1 (pow.f64 y 2))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 y 3))) (*.f64 2 (/.f64 1 y)))))
(+.f64 1 (+.f64 (/.f64 4 (*.f64 y y)) (+.f64 (/.f64 2 y) (/.f64 8 (pow.f64 y 3)))))
(+.f64 1 (+.f64 (+.f64 (/.f64 2 y) (/.f64 4 (*.f64 y y))) (/.f64 8 (pow.f64 y 3))))
(+.f64 1 (+.f64 (/.f64 2 y) (+.f64 (/.f64 4 (*.f64 y y)) (/.f64 8 (pow.f64 y 3)))))
(+.f64 1 (+.f64 (/.f64 2 y) (+.f64 (/.f64 (/.f64 4 y) y) (/.f64 8 (pow.f64 y 3)))))
1
(+.f64 (*.f64 2 (/.f64 1 y)) 1)
(+.f64 1 (/.f64 2 y))
(+.f64 1 (+.f64 (.f64 4 (/.f64 1 (pow.f64 y 2))) (.f64 2 (/.f64 1 y))))
(+.f64 1 (+.f64 (/.f64 2 y) (/.f64 4 (*.f64 y y))))
(+.f64 1 (+.f64 (/.f64 2 y) (/.f64 (/.f64 4 y) y)))
(+.f64 1 (+.f64 (.f64 4 (/.f64 1 (pow.f64 y 2))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 y 3))) (*.f64 2 (/.f64 1 y)))))
(+.f64 1 (+.f64 (/.f64 4 (*.f64 y y)) (+.f64 (/.f64 2 y) (/.f64 8 (pow.f64 y 3)))))
(+.f64 1 (+.f64 (+.f64 (/.f64 2 y) (/.f64 4 (*.f64 y y))) (/.f64 8 (pow.f64 y 3))))
(+.f64 1 (+.f64 (/.f64 2 y) (+.f64 (/.f64 4 (*.f64 y y)) (/.f64 8 (pow.f64 y 3)))))
(+.f64 1 (+.f64 (/.f64 2 y) (+.f64 (/.f64 (/.f64 4 y) y) (/.f64 8 (pow.f64 y 3)))))

localize16.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 1 (+.f64 (/.f64 2 x) -1))

Compiler

Compiled 21 to 17 computations (19% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(/.f64 1 (+.f64 (/.f64 2 x) -1))
1.0ms	x	@	-inf	(/.f64 1 (+.f64 (/.f64 2 x) -1))
1.0ms	x	@	inf	(/.f64 1 (+.f64 (/.f64 2 x) -1))

rewrite149.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

804×	`pow1_binary64`
751×	`add-log-exp_binary64`
749×	`log1p-expm1-u_binary64`
749×	`expm1-log1p-u_binary64`
738×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	171	10
2	2061	10

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1 (+.f64 (/.f64 2 x) -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 (/.f64 2 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (+.f64 1 (neg.f64 (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (/.f64 2 x) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (+.f64 (/.f64 2 x) -1))) (cbrt.f64 (pow.f64 (+.f64 (/.f64 2 x) -1) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 2 x) -1) -2)) (/.f64 1 (cbrt.f64 (+.f64 (/.f64 2 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 (/.f64 2 x) -1) -1/2) (pow.f64 (+.f64 (/.f64 2 x) -1) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 2 x) -1)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 (/.f64 2 x) -1)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 (/.f64 2 x) -1)) -1) (pow.f64 (sqrt.f64 (+.f64 (/.f64 2 x) -1)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 -1 (/.f64 8 (pow.f64 x 3)))) (+.f64 (/.f64 4 (*.f64 x x)) (-.f64 1 (/.f64 -2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (/.f64 4 (*.f64 x x)) -1)) (+.f64 (/.f64 2 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 2 x) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 (/.f64 2 x) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 2 x) -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (/.f64 2 x) -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 2 x) -1) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 2 x) -1) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 (/.f64 2 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 2 x) -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 2 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 (/.f64 2 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (+.f64 (/.f64 2 x) -1))))))))

simplify64.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

805×	`unswap-sqr_binary64`
507×	`associate-/r*_binary64`
487×	`fma-def_binary64`
380×	`fma-neg_binary64`
268×	`distribute-lft-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	37	168
1	101	156
2	277	153
3	886	145
4	2728	145
5	6724	145

Stop Event

1×	node limit

Counts

34 → 36

Calls

Call 1

Inputs
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 1/4 (pow.f64 x 2)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/4 (pow.f64 x 2)) (*.f64 1/8 (pow.f64 x 3))))
(+.f64 (.f64 1/16 (pow.f64 x 4)) (+.f64 (.f64 1/2 x) (+.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 1/8 (pow.f64 x 3)))))
-1
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 1 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 4 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 1 (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 2 (/.f64 1 x)) (*.f64 4 (/.f64 1 (pow.f64 x 2)))))))
-1
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 1 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 4 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 1 (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 2 (/.f64 1 x)) (*.f64 4 (/.f64 1 (pow.f64 x 2)))))))

Outputs
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 1/4 (pow.f64 x 2)))
(fma.f64 1/2 x (.f64 1/4 (.f64 x x)))
(fma.f64 1/2 x (.f64 x (.f64 x 1/4)))
(.f64 x (+.f64 (.f64 x 1/4) 1/2))
(*.f64 x (fma.f64 x 1/4 1/2))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/4 (pow.f64 x 2)) (*.f64 1/8 (pow.f64 x 3))))
(fma.f64 1/2 x (fma.f64 1/4 (.f64 x x) (.f64 1/8 (pow.f64 x 3))))
(fma.f64 1/2 x (.f64 (.f64 x x) (+.f64 1/4 (*.f64 x 1/8))))
(.f64 x (+.f64 (.f64 x (fma.f64 x 1/8 1/4)) 1/2))
(.f64 x (+.f64 1/2 (.f64 x (fma.f64 x 1/8 1/4))))
(+.f64 (.f64 1/16 (pow.f64 x 4)) (+.f64 (.f64 1/2 x) (+.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 1/8 (pow.f64 x 3)))))
(fma.f64 1/16 (pow.f64 x 4) (fma.f64 1/2 x (fma.f64 1/4 (.f64 x x) (.f64 1/8 (pow.f64 x 3)))))
(fma.f64 1/2 x (fma.f64 1/16 (pow.f64 x 4) (.f64 (.f64 x x) (+.f64 1/4 (*.f64 x 1/8)))))
(fma.f64 x (fma.f64 x 1/4 1/2) (.f64 (pow.f64 x 3) (+.f64 1/8 (.f64 x 1/16))))
-1
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(+.f64 -1 (neg.f64 (/.f64 2 x)))
(+.f64 -1 (/.f64 -2 x))
(-.f64 -1 (/.f64 2 x))
(neg.f64 (+.f64 1 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 -1 (neg.f64 (+.f64 (/.f64 2 x) (/.f64 4 (*.f64 x x)))))
(-.f64 (+.f64 -1 (/.f64 -2 x)) (/.f64 4 (*.f64 x x)))
(+.f64 (-.f64 -1 (/.f64 2 x)) (/.f64 -4 (*.f64 x x)))
(+.f64 -1 (-.f64 (/.f64 -2 x) (/.f64 4 (*.f64 x x))))
(+.f64 -1 (+.f64 (/.f64 -2 x) (/.f64 -4 (*.f64 x x))))
(neg.f64 (+.f64 1 (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 2 (/.f64 1 x)) (*.f64 4 (/.f64 1 (pow.f64 x 2)))))))
(neg.f64 (+.f64 (+.f64 1 (/.f64 8 (pow.f64 x 3))) (+.f64 (/.f64 2 x) (/.f64 4 (*.f64 x x)))))
(-.f64 -1 (+.f64 (/.f64 2 x) (+.f64 (/.f64 4 (*.f64 x x)) (/.f64 8 (pow.f64 x 3)))))
(+.f64 -1 (+.f64 (/.f64 -2 x) (+.f64 (/.f64 -4 (*.f64 x x)) (/.f64 -8 (pow.f64 x 3)))))
(+.f64 -1 (+.f64 (/.f64 -2 x) (-.f64 (/.f64 -8 (pow.f64 x 3)) (/.f64 4 (*.f64 x x)))))
(+.f64 -1 (+.f64 (/.f64 -4 (*.f64 x x)) (+.f64 (/.f64 -2 x) (/.f64 -8 (pow.f64 x 3)))))
-1
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(+.f64 -1 (neg.f64 (/.f64 2 x)))
(+.f64 -1 (/.f64 -2 x))
(-.f64 -1 (/.f64 2 x))
(neg.f64 (+.f64 1 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 -1 (neg.f64 (+.f64 (/.f64 2 x) (/.f64 4 (*.f64 x x)))))
(-.f64 (+.f64 -1 (/.f64 -2 x)) (/.f64 4 (*.f64 x x)))
(+.f64 (-.f64 -1 (/.f64 2 x)) (/.f64 -4 (*.f64 x x)))
(+.f64 -1 (-.f64 (/.f64 -2 x) (/.f64 4 (*.f64 x x))))
(+.f64 -1 (+.f64 (/.f64 -2 x) (/.f64 -4 (*.f64 x x))))
(neg.f64 (+.f64 1 (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 2 (/.f64 1 x)) (*.f64 4 (/.f64 1 (pow.f64 x 2)))))))
(neg.f64 (+.f64 (+.f64 1 (/.f64 8 (pow.f64 x 3))) (+.f64 (/.f64 2 x) (/.f64 4 (*.f64 x x)))))
(-.f64 -1 (+.f64 (/.f64 2 x) (+.f64 (/.f64 4 (*.f64 x x)) (/.f64 8 (pow.f64 x 3)))))
(+.f64 -1 (+.f64 (/.f64 -2 x) (+.f64 (/.f64 -4 (*.f64 x x)) (/.f64 -8 (pow.f64 x 3)))))
(+.f64 -1 (+.f64 (/.f64 -2 x) (-.f64 (/.f64 -8 (pow.f64 x 3)) (/.f64 4 (*.f64 x x)))))
(+.f64 -1 (+.f64 (/.f64 -4 (*.f64 x x)) (+.f64 (/.f64 -2 x) (/.f64 -8 (pow.f64 x 3)))))

localize52.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 (-.f64 2 x) x) y)
✓	0.0b	(-.f64 (-.f64 2 x) x)
✓	0.1b	(*.f64 (/.f64 (-.f64 2 x) y) (-.f64 (/.f64 (-.f64 (-.f64 2 x) x) y) -1))
✓	3.8b	(+.f64 (-.f64 1 (/.f64 x y)) (*.f64 (/.f64 (-.f64 2 x) y) (-.f64 (/.f64 (-.f64 (-.f64 2 x) x) y) -1)))

Compiler

Compiled 80 to 49 computations (38.8% saved)

series14.0ms (0.1%)

Counts

4 → 84

Calls

21 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(+.f64 (-.f64 1 (/.f64 x y)) (*.f64 (/.f64 (-.f64 2 x) y) (-.f64 (/.f64 (-.f64 (-.f64 2 x) x) y) -1)))
1.0ms	x	@	inf	(+.f64 (-.f64 1 (/.f64 x y)) (*.f64 (/.f64 (-.f64 2 x) y) (-.f64 (/.f64 (-.f64 (-.f64 2 x) x) y) -1)))
1.0ms	y	@	-inf	(+.f64 (-.f64 1 (/.f64 x y)) (*.f64 (/.f64 (-.f64 2 x) y) (-.f64 (/.f64 (-.f64 (-.f64 2 x) x) y) -1)))
1.0ms	y	@	0	(+.f64 (-.f64 1 (/.f64 x y)) (*.f64 (/.f64 (-.f64 2 x) y) (-.f64 (/.f64 (-.f64 (-.f64 2 x) x) y) -1)))
1.0ms	x	@	-inf	(+.f64 (-.f64 1 (/.f64 x y)) (*.f64 (/.f64 (-.f64 2 x) y) (-.f64 (/.f64 (-.f64 (-.f64 2 x) x) y) -1)))

rewrite132.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

623×	`fma-neg_binary64`
324×	`expm1-udef_binary64`
323×	`log1p-udef_binary64`
188×	`add-sqr-sqrt_binary64`
183×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	70
1	361	67
2	5776	67

Stop Event

1×	node limit

Counts

4 → 229

Calls

Call 1

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

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

simplify84.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

896×	`times-frac_binary64`
588×	`fma-neg_binary64`
454×	`associate-/l*_binary64`
325×	`associate-/r*_binary64`
323×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	83	1864
1	269	1641
2	724	1483
3	2524	1431

Stop Event

1×	node limit

Counts

313 → 284

Calls

Call 1

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

Outputs
(+.f64 1 (.f64 2 (/.f64 (+.f64 (.f64 2 (/.f64 1 y)) 1) y)))
(+.f64 1 (*.f64 2 (/.f64 (+.f64 1 (/.f64 2 y)) y)))
(fma.f64 2 (/.f64 (+.f64 1 (/.f64 2 y)) y) 1)
(+.f64 1 (/.f64 (+.f64 2 (/.f64 4 y)) y))
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(fma.f64 (-.f64 (fma.f64 (/.f64 (+.f64 1 (/.f64 2 y)) y) -1 (/.f64 -4 (*.f64 y y))) (/.f64 1 y)) x (fma.f64 2 (/.f64 (+.f64 1 (/.f64 2 y)) y) 1))
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(*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
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(fma.f64 2 (.f64 x (/.f64 x (.f64 y y))) (.f64 (+.f64 (/.f64 (+.f64 -1 (/.f64 -2 y)) y) (+.f64 (/.f64 -4 (.f64 y y)) (/.f64 -1 y))) x))
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(*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
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(fma.f64 2 (.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 (/.f64 x y) -2 (.f64 (/.f64 (/.f64 x y) y) -6)))
(fma.f64 2 (.f64 x (/.f64 x (.f64 y y))) (*.f64 (/.f64 x y) (-.f64 -2 (/.f64 6 y))))
(+.f64 1 (+.f64 (.f64 -1 (.f64 x (+.f64 (.f64 2 (/.f64 1 y)) (.f64 6 (/.f64 1 (pow.f64 y 2)))))) (+.f64 (.f64 2 (/.f64 (+.f64 (.f64 2 (/.f64 1 y)) 1) y)) (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))))
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1
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1
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(/.f64 (fma.f64 x -2 2) y)
(/.f64 (-.f64 2 (*.f64 2 x)) y)
(fma.f64 -2 (/.f64 x y) (/.f64 2 y))
(/.f64 (fma.f64 x -2 2) y)
(/.f64 (-.f64 2 (*.f64 2 x)) y)
(fma.f64 -2 (/.f64 x y) (/.f64 2 y))
(/.f64 (fma.f64 x -2 2) y)
(/.f64 (-.f64 2 (*.f64 2 x)) y)
(fma.f64 -2 (/.f64 x y) (/.f64 2 y))
(/.f64 (fma.f64 x -2 2) y)
(/.f64 (-.f64 2 (*.f64 2 x)) y)
(fma.f64 -2 (/.f64 x y) (/.f64 2 y))
(/.f64 (fma.f64 x -2 2) y)
(/.f64 (-.f64 2 (*.f64 2 x)) y)
(fma.f64 -2 (/.f64 x y) (/.f64 2 y))
(/.f64 (fma.f64 x -2 2) y)

eval390.0ms (3.6%)

Compiler: Compiled 13256 to 8512 computations (35.8% saved)

prune231.0ms (2.1%)

Pruning

17 alts after pruning (9 fresh and 8 done)

	Pruned	Kept	Total
New	562	5	567
Fresh	1	4	5
Picked	1	0	1
Done	1	8	9
Total	565	17	582

Error

Counts

582 → 17

Alt Table

Click to see full alt table

Status	Error	Program
	40.8b	-1
	38.9b	(-.f64 1 (/.f64 (-.f64 x (*.f64 (-.f64 2 x) (+.f64 1 (/.f64 (-.f64 2 (+.f64 x x)) y)))) y))
	23.1b	(/.f64 (/.f64 1 (-.f64 2 y)) (/.f64 1 (-.f64 x y)))
	38.6b	(+.f64 1 (/.f64 2 y))
	39.0b	(*.f64 (/.f64 -1 y) (-.f64 x y))
	38.8b	1
✓	0.1b	(/.f64 (/.f64 1 (-.f64 (-.f64 2 x) y)) (/.f64 1 (-.f64 x y)))
✓	0.1b	(/.f64 1 (/.f64 (-.f64 (-.f64 2 x) y) (-.f64 x y)))
✓	31.0b	(/.f64 (neg.f64 y) (-.f64 2 y))
✓	54.5b	(*.f64 1/2 x)
✓	32.2b	(/.f64 1 (+.f64 (/.f64 2 x) -1))
	55.8b	(*.f64 -1/2 y)
✓	32.2b	(/.f64 x (-.f64 2 x))
✓	32.3b	(*.f64 (/.f64 1 (-.f64 2 x)) x)
✓	0.0b	(/.f64 (-.f64 x y) (-.f64 (-.f64 2 x) y))
	31.1b	(*.f64 y (/.f64 1 (+.f64 -2 y)))
	41.1b	(-.f64 (/.f64 y x) 1)

Compiler

Compiled 154 to 116 computations (24.7% saved)

regimes144.0ms (1.3%)

Counts

33 → 1

Calls

Call 1

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

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

Calls

4 calls:

44.0ms	(/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))
33.0ms	x
32.0ms	y
16.0ms	(/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`y`
0.0b	1	`(/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))`
0.0b	1	`(/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))`

Compiler

Compiled 327 to 196 computations (40.1% saved)

regimes151.0ms (1.4%)

Counts

25 → 1

Calls

Call 1

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

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

Calls

4 calls:

62.0ms	(/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))
37.0ms	y
26.0ms	x
13.0ms	(/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`y`
0.0b	1	`(/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))`
0.0b	1	`(/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))`

Compiler

Compiled 186 to 115 computations (38.2% saved)

regimes145.0ms (1.3%)

Counts

18 → 5

Calls

Call 1

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

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

Calls

2 calls:

80.0ms	x
57.0ms	y

Results

Error	Segments	Branch
6.3b	5	`x`
12.4b	3	`y`

Compiler

Compiled 89 to 60 computations (32.6% saved)

bsearch70.0ms (0.6%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
18.0ms	1.2802029569200474e+114	5.950678053776232e+122
17.0ms	2.9658099958485696e+66	6.098830502537758e+68
17.0ms	1.5875690938112374e-12	1.3030272837608781e-11
18.0ms	-1.9942022948545567e+125	-1.0026820264124576e+116

Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes79.0ms (0.7%)

Counts

17 → 3

Calls

Call 1

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

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

Calls

2 calls:

47.0ms	x
28.0ms	y

Results

Error	Segments	Branch
13.7b	5	`x`
12.5b	3	`y`

Compiler

Compiled 80 to 55 computations (31.3% saved)

bsearch35.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
17.0ms	2.944192617580757e-19	2.2410409130887317e-12
18.0ms	-7.348807799747896e+95	-7.76975883740175e+88

Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes71.0ms (0.6%)

Counts

14 → 3

Calls

Call 1

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

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

Calls

2 calls:

44.0ms	x
23.0ms	y

Results

Error	Segments	Branch
13.7b	5	`x`
12.6b	3	`y`

Compiler

Compiled 59 to 43 computations (27.1% saved)

bsearch55.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
17.0ms	2.944192617580757e-19	2.2410409130887317e-12
38.0ms	-7.348807799747896e+95	-7.76975883740175e+88

Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes54.0ms (0.5%)

Counts

11 → 3

Calls

Call 1

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

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

Calls

2 calls:

32.0ms	x
19.0ms	y

Results

Error	Segments	Branch
20.5b	5	`x`
14.5b	3	`y`

Compiler

Compiled 39 to 28 computations (28.2% saved)

bsearch46.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
28.0ms	0.8957115902786915	9917.9184604101
18.0ms	-7.348807799747896e+95	-7.76975883740175e+88

Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes84.0ms (0.8%)

Counts

10 → 6

Calls

Call 1

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

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

Calls

2 calls:

52.0ms	x
29.0ms	y

Results

Error	Segments	Branch
20.9b	6	`x`
22.8b	3	`y`

Compiler

Compiled 34 to 25 computations (26.5% saved)

bsearch88.0ms (0.8%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
18.0ms	1.2802029569200474e+114	5.950678053776232e+122
17.0ms	2.9658099958485696e+66	6.098830502537758e+68
17.0ms	0.0024460758496544156	101949.63186573163
18.0ms	1.826848170010284e-82	1.8145820462984054e-78
17.0ms	-1.9942022948545567e+125	-1.0026820264124576e+116

Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes97.0ms (0.9%)

Counts

9 → 6

Calls

Call 1

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

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

Calls

2 calls:

78.0ms	x
17.0ms	y

Results

Error	Segments	Branch
20.9b	6	`x`
22.8b	3	`y`

Compiler

Compiled 29 to 22 computations (24.1% saved)

bsearch88.0ms (0.8%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
18.0ms	1.2802029569200474e+114	5.950678053776232e+122
18.0ms	2.9658099958485696e+66	6.098830502537758e+68
18.0ms	0.0024460758496544156	101949.63186573163
17.0ms	1.826848170010284e-82	1.8145820462984054e-78
17.0ms	-1.9942022948545567e+125	-1.0026820264124576e+116

Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes44.0ms (0.4%)

Counts

7 → 6

Calls

Call 1

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

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

Calls

2 calls:

26.0ms	x
16.0ms	y

Results

Error	Segments	Branch
21.1b	6	`x`
23.0b	3	`y`

Compiler

Compiled 19 to 15 computations (21.1% saved)

bsearch185.0ms (1.7%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
17.0ms	1.8494387053009244e+110	1.2094306697533349e+113
18.0ms	2.9658099958485696e+66	6.098830502537758e+68
17.0ms	0.0024460758496544156	101949.63186573163
17.0ms	1.826848170010284e-82	1.8145820462984054e-78
116.0ms	-1.9942022948545567e+125	-1.0026820264124576e+116

Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes44.0ms (0.4%)

Accuracy

Total -40.8b remaining (-183.8%)

Threshold costs -40.8b (-183.8%)

Counts

6 → 5

Calls

Call 1

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

Outputs
-1
1
-1
1
-1

Calls

2 calls:

30.0ms	x
13.0ms	y

Results

Error	Segments	Branch
22.2b	5	`x`
23.0b	3	`y`

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch100.0ms (0.9%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
48.0ms	1.8494387053009244e+110	1.2094306697533349e+113
17.0ms	2.9658099958485696e+66	6.098830502537758e+68
17.0ms	0.0024460758496544156	101949.63186573163
17.0ms	-1.9942022948545567e+125	-1.0026820264124576e+116

Compiler

Compiled 16 to 11 computations (31.3% saved)

simplify22.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

14×	`+-commutative_binary64`
12×	`sub-neg_binary64`
8×	`*-commutative_binary64`
5×	`neg-sub0_binary64`
5×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	371
1	97	371
2	117	371
3	128	371
4	132	371

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(-.f64 (/.f64 x (-.f64 2 (+.f64 x y))) (/.f64 y (-.f64 2 (+.f64 x y))))
(/.f64 (-.f64 x y) (-.f64 (-.f64 2 x) y))
(if (<=.f64 x -199420229485455668732907874330508221822185349756749361251578630106900697021429330289723604051410376407173844476445139404849152) -1 (if (<=.f64 x 7861261385443755/4951760157141521099596496896) (*.f64 (/.f64 1 (-.f64 2 y)) (-.f64 x y)) (if (<=.f64 x 2965809995848569562676798195204382954255308524223593786642664521728) (/.f64 x (-.f64 2 x)) (if (<=.f64 x 1280202956920047441365694030175137140974335385003700711385276456174206941095743469267834814610800065330249059008512) (+.f64 1 (/.f64 2 y)) (-.f64 (/.f64 y x) 1)))))
(if (<=.f64 y -734880779974789637953245219506967975906517738154783732403238813293294853999206707903306078879744) (*.f64 (/.f64 -1 y) (-.f64 x y)) (if (<=.f64 y 3057424415837199/10384593717069655257060992658440192) (/.f64 x (-.f64 2 x)) (/.f64 (neg.f64 y) (-.f64 2 y))))
(if (<=.f64 y -734880779974789637953245219506967975906517738154783732403238813293294853999206707903306078879744) 1 (if (<=.f64 y 3057424415837199/10384593717069655257060992658440192) (/.f64 x (-.f64 2 x)) (/.f64 (neg.f64 y) (-.f64 2 y))))
(if (<=.f64 y -734880779974789637953245219506967975906517738154783732403238813293294853999206707903306078879744) 1 (if (<=.f64 y 8067852768421099/9007199254740992) (/.f64 x (-.f64 2 x)) (+.f64 1 (/.f64 2 y))))
(if (<=.f64 x -199420229485455668732907874330508221822185349756749361251578630106900697021429330289723604051410376407173844476445139404849152) -1 (if (<=.f64 x 6243398412380489/34175792574734561318320347298712833833643272357706444319152665725155515612490248800367393390985216) (+.f64 1 (/.f64 2 y)) (if (<=.f64 x 5640266897932081/2305843009213693952) (*.f64 1/2 x) (if (<=.f64 x 2965809995848569562676798195204382954255308524223593786642664521728) (-.f64 (/.f64 y x) 1) (if (<=.f64 x 1280202956920047441365694030175137140974335385003700711385276456174206941095743469267834814610800065330249059008512) (+.f64 1 (/.f64 2 y)) (-.f64 (/.f64 y x) 1))))))
(if (<=.f64 x -199420229485455668732907874330508221822185349756749361251578630106900697021429330289723604051410376407173844476445139404849152) -1 (if (<=.f64 x 6243398412380489/34175792574734561318320347298712833833643272357706444319152665725155515612490248800367393390985216) (+.f64 1 (/.f64 2 y)) (if (<=.f64 x 5640266897932081/2305843009213693952) (*.f64 1/2 x) (if (<=.f64 x 2965809995848569562676798195204382954255308524223593786642664521728) -1 (if (<=.f64 x 1280202956920047441365694030175137140974335385003700711385276456174206941095743469267834814610800065330249059008512) (+.f64 1 (/.f64 2 y)) -1)))))
(if (<=.f64 x -199420229485455668732907874330508221822185349756749361251578630106900697021429330289723604051410376407173844476445139404849152) -1 (if (<=.f64 x 6243398412380489/34175792574734561318320347298712833833643272357706444319152665725155515612490248800367393390985216) 1 (if (<=.f64 x 5640266897932081/2305843009213693952) (*.f64 1/2 x) (if (<=.f64 x 2965809995848569562676798195204382954255308524223593786642664521728) -1 (if (<=.f64 x 184943870530092440623532691048163377665672479247498641741296006943563610014647527093153885956759266152645918720) 1 -1)))))
(if (<=.f64 x -199420229485455668732907874330508221822185349756749361251578630106900697021429330289723604051410376407173844476445139404849152) -1 (if (<=.f64 x 5640266897932081/2305843009213693952) 1 (if (<=.f64 x 2965809995848569562676798195204382954255308524223593786642664521728) -1 (if (<=.f64 x 184943870530092440623532691048163377665672479247498641741296006943563610014647527093153885956759266152645918720) 1 -1))))
-1

Outputs
(-.f64 (/.f64 x (-.f64 2 (+.f64 x y))) (/.f64 y (-.f64 2 (+.f64 x y))))
(/.f64 (-.f64 x y) (-.f64 (-.f64 2 x) y))
(if (<=.f64 x -199420229485455668732907874330508221822185349756749361251578630106900697021429330289723604051410376407173844476445139404849152) -1 (if (<=.f64 x 7861261385443755/4951760157141521099596496896) (*.f64 (/.f64 1 (-.f64 2 y)) (-.f64 x y)) (if (<=.f64 x 2965809995848569562676798195204382954255308524223593786642664521728) (/.f64 x (-.f64 2 x)) (if (<=.f64 x 1280202956920047441365694030175137140974335385003700711385276456174206941095743469267834814610800065330249059008512) (+.f64 1 (/.f64 2 y)) (-.f64 (/.f64 y x) 1)))))
(if (<=.f64 x -199420229485455668732907874330508221822185349756749361251578630106900697021429330289723604051410376407173844476445139404849152) -1 (if (<=.f64 x 7861261385443755/4951760157141521099596496896) (*.f64 (-.f64 x y) (/.f64 1 (-.f64 2 y))) (if (<=.f64 x 2965809995848569562676798195204382954255308524223593786642664521728) (/.f64 x (-.f64 2 x)) (if (<=.f64 x 1280202956920047441365694030175137140974335385003700711385276456174206941095743469267834814610800065330249059008512) (+.f64 1 (/.f64 2 y)) (+.f64 (/.f64 y x) -1)))))
(if (<=.f64 x -199420229485455668732907874330508221822185349756749361251578630106900697021429330289723604051410376407173844476445139404849152) -1 (if (<=.f64 x 7861261385443755/4951760157141521099596496896) (*.f64 (-.f64 x y) (/.f64 1 (-.f64 2 y))) (if (<=.f64 x 2965809995848569562676798195204382954255308524223593786642664521728) (/.f64 x (-.f64 2 x)) (if (<=.f64 x 1280202956920047441365694030175137140974335385003700711385276456174206941095743469267834814610800065330249059008512) (+.f64 1 (/.f64 2 y)) (+.f64 -1 (/.f64 y x))))))
(if (<=.f64 y -734880779974789637953245219506967975906517738154783732403238813293294853999206707903306078879744) (*.f64 (/.f64 -1 y) (-.f64 x y)) (if (<=.f64 y 3057424415837199/10384593717069655257060992658440192) (/.f64 x (-.f64 2 x)) (/.f64 (neg.f64 y) (-.f64 2 y))))
(if (<=.f64 y -734880779974789637953245219506967975906517738154783732403238813293294853999206707903306078879744) (*.f64 (-.f64 x y) (/.f64 -1 y)) (if (<=.f64 y 3057424415837199/10384593717069655257060992658440192) (/.f64 x (-.f64 2 x)) (/.f64 (neg.f64 y) (-.f64 2 y))))
(if (<=.f64 y -734880779974789637953245219506967975906517738154783732403238813293294853999206707903306078879744) 1 (if (<=.f64 y 3057424415837199/10384593717069655257060992658440192) (/.f64 x (-.f64 2 x)) (/.f64 (neg.f64 y) (-.f64 2 y))))
(if (<=.f64 y -734880779974789637953245219506967975906517738154783732403238813293294853999206707903306078879744) 1 (if (<=.f64 y 8067852768421099/9007199254740992) (/.f64 x (-.f64 2 x)) (+.f64 1 (/.f64 2 y))))
(if (<=.f64 x -199420229485455668732907874330508221822185349756749361251578630106900697021429330289723604051410376407173844476445139404849152) -1 (if (<=.f64 x 6243398412380489/34175792574734561318320347298712833833643272357706444319152665725155515612490248800367393390985216) (+.f64 1 (/.f64 2 y)) (if (<=.f64 x 5640266897932081/2305843009213693952) (*.f64 1/2 x) (if (<=.f64 x 2965809995848569562676798195204382954255308524223593786642664521728) (-.f64 (/.f64 y x) 1) (if (<=.f64 x 1280202956920047441365694030175137140974335385003700711385276456174206941095743469267834814610800065330249059008512) (+.f64 1 (/.f64 2 y)) (-.f64 (/.f64 y x) 1))))))
(if (<=.f64 x -199420229485455668732907874330508221822185349756749361251578630106900697021429330289723604051410376407173844476445139404849152) -1 (if (<=.f64 x 6243398412380489/34175792574734561318320347298712833833643272357706444319152665725155515612490248800367393390985216) (+.f64 1 (/.f64 2 y)) (if (<=.f64 x 5640266897932081/2305843009213693952) (*.f64 x 1/2) (if (<=.f64 x 2965809995848569562676798195204382954255308524223593786642664521728) (+.f64 (/.f64 y x) -1) (if (<=.f64 x 1280202956920047441365694030175137140974335385003700711385276456174206941095743469267834814610800065330249059008512) (+.f64 1 (/.f64 2 y)) (+.f64 (/.f64 y x) -1))))))
(if (<=.f64 x -199420229485455668732907874330508221822185349756749361251578630106900697021429330289723604051410376407173844476445139404849152) -1 (if (<=.f64 x 6243398412380489/34175792574734561318320347298712833833643272357706444319152665725155515612490248800367393390985216) (+.f64 1 (/.f64 2 y)) (if (<=.f64 x 5640266897932081/2305843009213693952) (*.f64 x 1/2) (if (<=.f64 x 2965809995848569562676798195204382954255308524223593786642664521728) (+.f64 -1 (/.f64 y x)) (if (<=.f64 x 1280202956920047441365694030175137140974335385003700711385276456174206941095743469267834814610800065330249059008512) (+.f64 1 (/.f64 2 y)) (+.f64 -1 (/.f64 y x)))))))
(if (<=.f64 x -199420229485455668732907874330508221822185349756749361251578630106900697021429330289723604051410376407173844476445139404849152) -1 (if (<=.f64 x 6243398412380489/34175792574734561318320347298712833833643272357706444319152665725155515612490248800367393390985216) (+.f64 1 (/.f64 2 y)) (if (<=.f64 x 5640266897932081/2305843009213693952) (*.f64 1/2 x) (if (<=.f64 x 2965809995848569562676798195204382954255308524223593786642664521728) -1 (if (<=.f64 x 1280202956920047441365694030175137140974335385003700711385276456174206941095743469267834814610800065330249059008512) (+.f64 1 (/.f64 2 y)) -1)))))
(if (<=.f64 x -199420229485455668732907874330508221822185349756749361251578630106900697021429330289723604051410376407173844476445139404849152) -1 (if (<=.f64 x 6243398412380489/34175792574734561318320347298712833833643272357706444319152665725155515612490248800367393390985216) (+.f64 1 (/.f64 2 y)) (if (<=.f64 x 5640266897932081/2305843009213693952) (*.f64 x 1/2) (if (<=.f64 x 2965809995848569562676798195204382954255308524223593786642664521728) -1 (if (<=.f64 x 1280202956920047441365694030175137140974335385003700711385276456174206941095743469267834814610800065330249059008512) (+.f64 1 (/.f64 2 y)) -1)))))
(if (<=.f64 x -199420229485455668732907874330508221822185349756749361251578630106900697021429330289723604051410376407173844476445139404849152) -1 (if (<=.f64 x 6243398412380489/34175792574734561318320347298712833833643272357706444319152665725155515612490248800367393390985216) 1 (if (<=.f64 x 5640266897932081/2305843009213693952) (*.f64 1/2 x) (if (<=.f64 x 2965809995848569562676798195204382954255308524223593786642664521728) -1 (if (<=.f64 x 184943870530092440623532691048163377665672479247498641741296006943563610014647527093153885956759266152645918720) 1 -1)))))
(if (<=.f64 x -199420229485455668732907874330508221822185349756749361251578630106900697021429330289723604051410376407173844476445139404849152) -1 (if (<=.f64 x 6243398412380489/34175792574734561318320347298712833833643272357706444319152665725155515612490248800367393390985216) 1 (if (<=.f64 x 5640266897932081/2305843009213693952) (*.f64 x 1/2) (if (<=.f64 x 2965809995848569562676798195204382954255308524223593786642664521728) -1 (if (<=.f64 x 184943870530092440623532691048163377665672479247498641741296006943563610014647527093153885956759266152645918720) 1 -1)))))
(if (<=.f64 x -199420229485455668732907874330508221822185349756749361251578630106900697021429330289723604051410376407173844476445139404849152) -1 (if (<=.f64 x 5640266897932081/2305843009213693952) 1 (if (<=.f64 x 2965809995848569562676798195204382954255308524223593786642664521728) -1 (if (<=.f64 x 184943870530092440623532691048163377665672479247498641741296006943563610014647527093153885956759266152645918720) 1 -1))))
-1

Compiler

Compiled 282 to 208 computations (26.2% saved)

soundness299.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

1142×	`fma-neg_binary64`
983×	`fma-def_binary64`
651×	`div-sub_binary64`
413×	`sub-neg_binary64`
386×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	18	13
2	35	13
3	77	13
4	188	13
5	357	13
6	886	13
7	2396	13
8	4744	13
9	6567	13
10	7144	13
11	7528	13
12	7596	13
13	7616	13

Stop Event

1×	node limit

Compiler

Compiled 22 to 14 computations (36.4% saved)

end199.0ms (1.8%)

Compiler: Compiled 262 to 184 computations (29.8% saved)