Details

analyze80.0ms (1.5%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
18.7%	81.2%	0.1%	5
28.1%	71.8%	0.1%	6
39%	60.9%	0.1%	7
52.3%	47.6%	0.1%	8
67.5%	32.4%	0.1%	9
74.7%	25.2%	0.1%	10
83.2%	16.7%	0.1%	11
87%	12.9%	0.1%	12

Compiler

Compiled 12 to 8 computations (33.3% saved)

sample1.2s (22.3%)

Results

1.2s	8255×	body	256	valid
0.0ms	1×	body	1024	valid

preprocess180.0ms (3.3%)

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)

simplify144.0ms (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

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)

localize11.0ms (0.2%)

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 (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite95.0ms (1.8%)

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)))))))))

simplify66.0ms (1.2%)

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)))))

eval50.0ms (0.9%)

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

prune15.0ms (0.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	91	5	96
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	91	6	97

Error

Counts

97 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	1.0b	(expm1.f64 (log1p.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))))
	43.4b	-1
	37.1b	1
▶	27.6b	(/.f64 (neg.f64 y) (-.f64 2 y))
✓	0.0b	(/.f64 (-.f64 x y) (-.f64 (-.f64 2 x) y))
▶	35.3b	(/.f64 x (-.f64 2 x))

Compiler

Compiled 45 to 33 computations (26.7% saved)

localize19.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))
✓	0.0b	(expm1.f64 (log1p.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))))
✓	1.9b	(log1p.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y))))

Compiler

Compiled 46 to 19 computations (58.7% saved)

series46.0ms (0.8%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
27.0ms	y	@	0	(log1p.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y))))
2.0ms	x	@	0	(log1p.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y))))
2.0ms	y	@	inf	(log1p.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y))))
2.0ms	y	@	-inf	(log1p.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y))))
2.0ms	x	@	-inf	(log1p.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y))))

rewrite211.0ms (3.9%)

Algorithm

1×	batch-egg-rewrite

Rules

545×	`log-prod_binary64`
346×	`pow-prod-down_binary64`
338×	`fma-def_binary64`
299×	`pow2_binary64`
206×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	41
1	216	41
2	3301	41

Stop Event

1×	node limit

Counts

3 → 165

Calls

Call 1

Inputs
(log1p.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y))))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))))
(/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))

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

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

simplify129.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

716×	`associate-/l*_binary64`
693×	`associate-/r*_binary64`
457×	`associate-*l/_binary64`
224×	`fma-def_binary64`
159×	`+-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	273	3453
1	873	3179
2	3471	2920

Stop Event

1×	node limit

Counts

237 → 185

Calls

Call 1

Inputs
(log.f64 (+.f64 (*.f64 -1 (/.f64 y (-.f64 2 y))) 1))
(+.f64 (log.f64 (+.f64 (.f64 -1 (/.f64 y (-.f64 2 y))) 1)) (.f64 (-.f64 (/.f64 1 (.f64 (-.f64 2 y) (+.f64 (.f64 -1 (/.f64 y (-.f64 2 y))) 1))) (/.f64 y (.f64 (pow.f64 (-.f64 2 y) 2) (+.f64 (.f64 -1 (/.f64 y (-.f64 2 y))) 1)))) x))
(+.f64 (.f64 1/2 (.f64 (+.f64 (.f64 2 (/.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) (.f64 (+.f64 (.f64 -1 (/.f64 y (-.f64 2 y))) 1) (-.f64 2 y)))) (.f64 -1 (/.f64 (pow.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) 2) (pow.f64 (+.f64 (.f64 -1 (/.f64 y (-.f64 2 y))) 1) 2)))) (pow.f64 x 2))) (+.f64 (log.f64 (+.f64 (.f64 -1 (/.f64 y (-.f64 2 y))) 1)) (.f64 (-.f64 (/.f64 1 (.f64 (-.f64 2 y) (+.f64 (.f64 -1 (/.f64 y (-.f64 2 y))) 1))) (/.f64 y (.f64 (pow.f64 (-.f64 2 y) 2) (+.f64 (*.f64 -1 (/.f64 y (-.f64 2 y))) 1)))) x)))
(+.f64 (.f64 1/2 (.f64 (+.f64 (.f64 2 (/.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) (.f64 (+.f64 (.f64 -1 (/.f64 y (-.f64 2 y))) 1) (-.f64 2 y)))) (.f64 -1 (/.f64 (pow.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) 2) (pow.f64 (+.f64 (.f64 -1 (/.f64 y (-.f64 2 y))) 1) 2)))) (pow.f64 x 2))) (+.f64 (log.f64 (+.f64 (.f64 -1 (/.f64 y (-.f64 2 y))) 1)) (+.f64 (.f64 (-.f64 (/.f64 1 (.f64 (-.f64 2 y) (+.f64 (.f64 -1 (/.f64 y (-.f64 2 y))) 1))) (/.f64 y (.f64 (pow.f64 (-.f64 2 y) 2) (+.f64 (.f64 -1 (/.f64 y (-.f64 2 y))) 1)))) x) (.f64 1/6 (.f64 (+.f64 (.f64 -6 (/.f64 (pow.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) 2) (.f64 (pow.f64 (+.f64 (.f64 -1 (/.f64 y (-.f64 2 y))) 1) 2) (-.f64 2 y)))) (+.f64 (.f64 6 (/.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) (.f64 (+.f64 (.f64 -1 (/.f64 y (-.f64 2 y))) 1) (pow.f64 (-.f64 2 y) 2)))) (.f64 2 (/.f64 (pow.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) 3) (pow.f64 (+.f64 (*.f64 -1 (/.f64 y (-.f64 2 y))) 1) 3))))) (pow.f64 x 3))))))
(+.f64 (log.f64 (-.f64 (*.f64 2 y) 2)) (log.f64 (/.f64 1 x)))
(-.f64 (+.f64 (log.f64 (/.f64 1 x)) (+.f64 (log.f64 (-.f64 (.f64 2 y) 2)) (.f64 2 (/.f64 1 x)))) (/.f64 y x))
(-.f64 (+.f64 (log.f64 (/.f64 1 x)) (+.f64 (log.f64 (-.f64 (.f64 2 y) 2)) (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 2 (pow.f64 (-.f64 2 y) 2)) (.f64 -1 (pow.f64 (-.f64 2 y) 2))) (pow.f64 x 2))) (*.f64 2 (/.f64 1 x))))) (/.f64 y x))
(-.f64 (+.f64 (.f64 1/6 (/.f64 (+.f64 (.f64 -6 (pow.f64 (-.f64 2 y) 3)) (+.f64 (.f64 6 (pow.f64 (-.f64 2 y) 3)) (.f64 2 (pow.f64 (-.f64 2 y) 3)))) (pow.f64 x 3))) (+.f64 (log.f64 (/.f64 1 x)) (+.f64 (log.f64 (-.f64 (.f64 2 y) 2)) (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 2 (pow.f64 (-.f64 2 y) 2)) (.f64 -1 (pow.f64 (-.f64 2 y) 2))) (pow.f64 x 2))) (*.f64 2 (/.f64 1 x)))))) (/.f64 y x))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 (.f64 -1 (-.f64 (.f64 2 y) 2))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (.f64 2 (/.f64 1 x)) (log.f64 (.f64 -1 (-.f64 (*.f64 2 y) 2))))) (/.f64 y x))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 2 (pow.f64 (-.f64 2 y) 2)) (.f64 -1 (pow.f64 (-.f64 2 y) 2))) (pow.f64 x 2))) (+.f64 (.f64 2 (/.f64 1 x)) (log.f64 (.f64 -1 (-.f64 (.f64 2 y) 2)))))) (/.f64 y x))
(-.f64 (+.f64 (.f64 -1/6 (/.f64 (+.f64 (.f64 -6 (pow.f64 (-.f64 2 y) 3)) (+.f64 (.f64 -2 (pow.f64 (-.f64 2 y) 3)) (.f64 6 (pow.f64 (-.f64 2 y) 3)))) (pow.f64 x 3))) (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 2 (pow.f64 (-.f64 2 y) 2)) (.f64 -1 (pow.f64 (-.f64 2 y) 2))) (pow.f64 x 2))) (+.f64 (.f64 2 (/.f64 1 x)) (log.f64 (.f64 -1 (-.f64 (.f64 2 y) 2))))))) (/.f64 y x))
(log.f64 (+.f64 1 (/.f64 x (-.f64 2 x))))
(+.f64 (log.f64 (+.f64 1 (/.f64 x (-.f64 2 x)))) (.f64 -1 (/.f64 (.f64 (+.f64 (/.f64 1 (-.f64 2 x)) (*.f64 -1 (/.f64 x (pow.f64 (-.f64 2 x) 2)))) y) (+.f64 1 (/.f64 x (-.f64 2 x))))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 y 2) (+.f64 (.f64 -1 (/.f64 (pow.f64 (+.f64 (/.f64 1 (-.f64 2 x)) (.f64 -1 (/.f64 x (pow.f64 (-.f64 2 x) 2)))) 2) (pow.f64 (+.f64 1 (/.f64 x (-.f64 2 x))) 2))) (.f64 -2 (/.f64 (+.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (.f64 -1 (/.f64 x (pow.f64 (-.f64 2 x) 3)))) (+.f64 1 (/.f64 x (-.f64 2 x)))))))) (+.f64 (log.f64 (+.f64 1 (/.f64 x (-.f64 2 x)))) (.f64 -1 (/.f64 (.f64 (+.f64 (/.f64 1 (-.f64 2 x)) (*.f64 -1 (/.f64 x (pow.f64 (-.f64 2 x) 2)))) y) (+.f64 1 (/.f64 x (-.f64 2 x)))))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 y 2) (+.f64 (.f64 -1 (/.f64 (pow.f64 (+.f64 (/.f64 1 (-.f64 2 x)) (.f64 -1 (/.f64 x (pow.f64 (-.f64 2 x) 2)))) 2) (pow.f64 (+.f64 1 (/.f64 x (-.f64 2 x))) 2))) (.f64 -2 (/.f64 (+.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (.f64 -1 (/.f64 x (pow.f64 (-.f64 2 x) 3)))) (+.f64 1 (/.f64 x (-.f64 2 x)))))))) (+.f64 (log.f64 (+.f64 1 (/.f64 x (-.f64 2 x)))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (/.f64 1 (-.f64 2 x)) (.f64 -1 (/.f64 x (pow.f64 (-.f64 2 x) 2)))) y) (+.f64 1 (/.f64 x (-.f64 2 x))))) (.f64 1/6 (.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 (+.f64 (/.f64 1 (-.f64 2 x)) (.f64 -1 (/.f64 x (pow.f64 (-.f64 2 x) 2)))) 3) (pow.f64 (+.f64 1 (/.f64 x (-.f64 2 x))) 3))) (+.f64 (.f64 -6 (/.f64 (.f64 (+.f64 (/.f64 1 (-.f64 2 x)) (.f64 -1 (/.f64 x (pow.f64 (-.f64 2 x) 2)))) (+.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (.f64 -1 (/.f64 x (pow.f64 (-.f64 2 x) 3))))) (pow.f64 (+.f64 1 (/.f64 x (-.f64 2 x))) 2))) (.f64 -6 (/.f64 (+.f64 (*.f64 -1 (/.f64 x (pow.f64 (-.f64 2 x) 4))) (/.f64 1 (pow.f64 (-.f64 2 x) 3))) (+.f64 1 (/.f64 x (-.f64 2 x))))))) (pow.f64 y 3))))))
(log.f64 2)
(+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 -1 x) (*.f64 -1 (-.f64 2 x))) y)) (log.f64 2))
(+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 -1 x) (.f64 -1 (-.f64 2 x))) y)) (+.f64 (log.f64 2) (.f64 1/2 (/.f64 (+.f64 (.f64 -1/4 (pow.f64 (-.f64 (.f64 -1 x) (.f64 -1 (-.f64 2 x))) 2)) (.f64 (-.f64 (.f64 -1 x) (.f64 -1 (-.f64 2 x))) (-.f64 2 x))) (pow.f64 y 2)))))
(+.f64 (.f64 1/6 (/.f64 (+.f64 (.f64 3 (.f64 (-.f64 (.f64 -1 x) (.f64 -1 (-.f64 2 x))) (pow.f64 (-.f64 2 x) 2))) (+.f64 (.f64 -3/2 (.f64 (-.f64 2 x) (pow.f64 (-.f64 (.f64 -1 x) (.f64 -1 (-.f64 2 x))) 2))) (.f64 1/4 (pow.f64 (-.f64 (.f64 -1 x) (.f64 -1 (-.f64 2 x))) 3)))) (pow.f64 y 3))) (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 -1 x) (.f64 -1 (-.f64 2 x))) y)) (+.f64 (log.f64 2) (.f64 1/2 (/.f64 (+.f64 (.f64 -1/4 (pow.f64 (-.f64 (.f64 -1 x) (.f64 -1 (-.f64 2 x))) 2)) (.f64 (-.f64 (.f64 -1 x) (.f64 -1 (-.f64 2 x))) (-.f64 2 x))) (pow.f64 y 2))))))
(log.f64 2)
(+.f64 (log.f64 2) (.f64 -1/2 (/.f64 (-.f64 (.f64 2 x) 2) y)))
(+.f64 (log.f64 2) (+.f64 (.f64 -1/2 (/.f64 (-.f64 (.f64 2 x) 2) y)) (.f64 1/2 (/.f64 (+.f64 (.f64 -1 (.f64 (-.f64 (.f64 2 x) 2) (-.f64 2 x))) (.f64 -1/4 (pow.f64 (-.f64 (.f64 2 x) 2) 2))) (pow.f64 y 2)))))
(+.f64 (log.f64 2) (+.f64 (.f64 -1/6 (/.f64 (+.f64 (.f64 3/2 (.f64 (pow.f64 (-.f64 (.f64 2 x) 2) 2) (-.f64 2 x))) (+.f64 (.f64 1/4 (pow.f64 (-.f64 (.f64 2 x) 2) 3)) (.f64 3 (.f64 (-.f64 (.f64 2 x) 2) (pow.f64 (-.f64 2 x) 2))))) (pow.f64 y 3))) (+.f64 (.f64 -1/2 (/.f64 (-.f64 (.f64 2 x) 2) y)) (.f64 1/2 (/.f64 (+.f64 (.f64 -1 (.f64 (-.f64 (.f64 2 x) 2) (-.f64 2 x))) (.f64 -1/4 (pow.f64 (-.f64 (*.f64 2 x) 2) 2))) (pow.f64 y 2))))))
(*.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 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
(log.f64 (+.f64 (*.f64 -1 (/.f64 y (-.f64 2 y))) 1))
(log.f64 (fma.f64 -1 (/.f64 y (-.f64 2 y)) 1))
(log1p.f64 (/.f64 (neg.f64 y) (-.f64 2 y)))
(+.f64 (log.f64 (+.f64 (.f64 -1 (/.f64 y (-.f64 2 y))) 1)) (.f64 (-.f64 (/.f64 1 (.f64 (-.f64 2 y) (+.f64 (.f64 -1 (/.f64 y (-.f64 2 y))) 1))) (/.f64 y (.f64 (pow.f64 (-.f64 2 y) 2) (+.f64 (.f64 -1 (/.f64 y (-.f64 2 y))) 1)))) x))
(+.f64 (log.f64 (fma.f64 -1 (/.f64 y (-.f64 2 y)) 1)) (.f64 (-.f64 (/.f64 1 (.f64 (-.f64 2 y) (fma.f64 -1 (/.f64 y (-.f64 2 y)) 1))) (/.f64 y (*.f64 (fma.f64 -1 (/.f64 y (-.f64 2 y)) 1) (pow.f64 (-.f64 2 y) 2)))) x))
(fma.f64 x (/.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) (-.f64 1 (/.f64 y (-.f64 2 y)))) (log1p.f64 (/.f64 (neg.f64 y) (-.f64 2 y))))
(+.f64 (.f64 1/2 (.f64 (+.f64 (.f64 2 (/.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) (.f64 (+.f64 (.f64 -1 (/.f64 y (-.f64 2 y))) 1) (-.f64 2 y)))) (.f64 -1 (/.f64 (pow.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) 2) (pow.f64 (+.f64 (.f64 -1 (/.f64 y (-.f64 2 y))) 1) 2)))) (pow.f64 x 2))) (+.f64 (log.f64 (+.f64 (.f64 -1 (/.f64 y (-.f64 2 y))) 1)) (.f64 (-.f64 (/.f64 1 (.f64 (-.f64 2 y) (+.f64 (.f64 -1 (/.f64 y (-.f64 2 y))) 1))) (/.f64 y (.f64 (pow.f64 (-.f64 2 y) 2) (+.f64 (*.f64 -1 (/.f64 y (-.f64 2 y))) 1)))) x)))
(fma.f64 1/2 (.f64 (fma.f64 2 (/.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) (.f64 (-.f64 2 y) (fma.f64 -1 (/.f64 y (-.f64 2 y)) 1))) (neg.f64 (/.f64 (pow.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) 2) (pow.f64 (fma.f64 -1 (/.f64 y (-.f64 2 y)) 1) 2)))) (.f64 x x)) (+.f64 (log.f64 (fma.f64 -1 (/.f64 y (-.f64 2 y)) 1)) (.f64 (-.f64 (/.f64 1 (.f64 (-.f64 2 y) (fma.f64 -1 (/.f64 y (-.f64 2 y)) 1))) (/.f64 y (.f64 (fma.f64 -1 (/.f64 y (-.f64 2 y)) 1) (pow.f64 (-.f64 2 y) 2)))) x)))
(fma.f64 1/2 (.f64 x (.f64 x (-.f64 (.f64 2 (/.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) (.f64 (-.f64 2 y) (-.f64 1 (/.f64 y (-.f64 2 y)))))) (/.f64 (pow.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) 2) (pow.f64 (-.f64 1 (/.f64 y (-.f64 2 y))) 2))))) (fma.f64 x (/.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) (-.f64 1 (/.f64 y (-.f64 2 y)))) (log1p.f64 (/.f64 (neg.f64 y) (-.f64 2 y)))))
(fma.f64 1/2 (.f64 (.f64 (/.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) (-.f64 1 (/.f64 y (-.f64 2 y)))) (-.f64 (/.f64 2 (-.f64 2 y)) (/.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) (-.f64 1 (/.f64 y (-.f64 2 y)))))) (*.f64 x x)) (fma.f64 x (/.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) (-.f64 1 (/.f64 y (-.f64 2 y)))) (log1p.f64 (/.f64 (neg.f64 y) (-.f64 2 y)))))
(+.f64 (.f64 1/2 (.f64 (+.f64 (.f64 2 (/.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) (.f64 (+.f64 (.f64 -1 (/.f64 y (-.f64 2 y))) 1) (-.f64 2 y)))) (.f64 -1 (/.f64 (pow.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) 2) (pow.f64 (+.f64 (.f64 -1 (/.f64 y (-.f64 2 y))) 1) 2)))) (pow.f64 x 2))) (+.f64 (log.f64 (+.f64 (.f64 -1 (/.f64 y (-.f64 2 y))) 1)) (+.f64 (.f64 (-.f64 (/.f64 1 (.f64 (-.f64 2 y) (+.f64 (.f64 -1 (/.f64 y (-.f64 2 y))) 1))) (/.f64 y (.f64 (pow.f64 (-.f64 2 y) 2) (+.f64 (.f64 -1 (/.f64 y (-.f64 2 y))) 1)))) x) (.f64 1/6 (.f64 (+.f64 (.f64 -6 (/.f64 (pow.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) 2) (.f64 (pow.f64 (+.f64 (.f64 -1 (/.f64 y (-.f64 2 y))) 1) 2) (-.f64 2 y)))) (+.f64 (.f64 6 (/.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) (.f64 (+.f64 (.f64 -1 (/.f64 y (-.f64 2 y))) 1) (pow.f64 (-.f64 2 y) 2)))) (.f64 2 (/.f64 (pow.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) 3) (pow.f64 (+.f64 (*.f64 -1 (/.f64 y (-.f64 2 y))) 1) 3))))) (pow.f64 x 3))))))
(fma.f64 1/2 (.f64 (fma.f64 2 (/.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) (.f64 (-.f64 2 y) (fma.f64 -1 (/.f64 y (-.f64 2 y)) 1))) (neg.f64 (/.f64 (pow.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) 2) (pow.f64 (fma.f64 -1 (/.f64 y (-.f64 2 y)) 1) 2)))) (.f64 x x)) (+.f64 (log.f64 (fma.f64 -1 (/.f64 y (-.f64 2 y)) 1)) (fma.f64 (-.f64 (/.f64 1 (.f64 (-.f64 2 y) (fma.f64 -1 (/.f64 y (-.f64 2 y)) 1))) (/.f64 y (.f64 (fma.f64 -1 (/.f64 y (-.f64 2 y)) 1) (pow.f64 (-.f64 2 y) 2)))) x (.f64 1/6 (.f64 (fma.f64 -6 (/.f64 (pow.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) 2) (.f64 (-.f64 2 y) (pow.f64 (fma.f64 -1 (/.f64 y (-.f64 2 y)) 1) 2))) (fma.f64 6 (/.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) (.f64 (fma.f64 -1 (/.f64 y (-.f64 2 y)) 1) (pow.f64 (-.f64 2 y) 2))) (.f64 2 (/.f64 (pow.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) 3) (pow.f64 (fma.f64 -1 (/.f64 y (-.f64 2 y)) 1) 3))))) (pow.f64 x 3))))))
(fma.f64 1/2 (.f64 x (.f64 x (-.f64 (.f64 2 (/.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) (.f64 (-.f64 2 y) (-.f64 1 (/.f64 y (-.f64 2 y)))))) (/.f64 (pow.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) 2) (pow.f64 (-.f64 1 (/.f64 y (-.f64 2 y))) 2))))) (+.f64 (log1p.f64 (/.f64 (neg.f64 y) (-.f64 2 y))) (fma.f64 (.f64 1/6 (fma.f64 -6 (/.f64 (pow.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) 2) (.f64 (-.f64 2 y) (pow.f64 (-.f64 1 (/.f64 y (-.f64 2 y))) 2))) (fma.f64 2 (/.f64 (pow.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) 3) (pow.f64 (-.f64 1 (/.f64 y (-.f64 2 y))) 3)) (.f64 6 (/.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) (.f64 (-.f64 1 (/.f64 y (-.f64 2 y))) (pow.f64 (-.f64 2 y) 2))))))) (pow.f64 x 3) (*.f64 x (/.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) (-.f64 1 (/.f64 y (-.f64 2 y))))))))
(+.f64 (fma.f64 x (/.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) (-.f64 1 (/.f64 y (-.f64 2 y)))) (log1p.f64 (/.f64 (neg.f64 y) (-.f64 2 y)))) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 1/6 (fma.f64 -6 (/.f64 (pow.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) 2) (.f64 (-.f64 2 y) (pow.f64 (-.f64 1 (/.f64 y (-.f64 2 y))) 2))) (fma.f64 2 (pow.f64 (/.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) (-.f64 1 (/.f64 y (-.f64 2 y)))) 3) (.f64 6 (/.f64 (-.f64 (/.f64 1 (pow.f64 (-.f64 2 y) 3)) (/.f64 (/.f64 y (-.f64 2 y)) (pow.f64 (-.f64 2 y) 3))) (-.f64 1 (/.f64 y (-.f64 2 y)))))))) x) (.f64 1/2 (.f64 (/.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) (-.f64 1 (/.f64 y (-.f64 2 y)))) (-.f64 (/.f64 2 (-.f64 2 y)) (/.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) (-.f64 1 (/.f64 y (-.f64 2 y))))))))))
(+.f64 (log.f64 (-.f64 (*.f64 2 y) 2)) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 (fma.f64 2 y -2)) (neg.f64 (log.f64 x)))
(-.f64 (log.f64 (fma.f64 y 2 -2)) (log.f64 x))
(-.f64 (+.f64 (log.f64 (/.f64 1 x)) (+.f64 (log.f64 (-.f64 (.f64 2 y) 2)) (.f64 2 (/.f64 1 x)))) (/.f64 y x))
(+.f64 (neg.f64 (log.f64 x)) (-.f64 (+.f64 (log.f64 (fma.f64 2 y -2)) (/.f64 2 x)) (/.f64 y x)))
(+.f64 (-.f64 (log.f64 (fma.f64 y 2 -2)) (log.f64 x)) (-.f64 (/.f64 2 x) (/.f64 y x)))
(+.f64 (-.f64 (log.f64 (fma.f64 y 2 -2)) (log.f64 x)) (/.f64 (-.f64 2 y) x))
(-.f64 (+.f64 (log.f64 (/.f64 1 x)) (+.f64 (log.f64 (-.f64 (.f64 2 y) 2)) (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 2 (pow.f64 (-.f64 2 y) 2)) (.f64 -1 (pow.f64 (-.f64 2 y) 2))) (pow.f64 x 2))) (*.f64 2 (/.f64 1 x))))) (/.f64 y x))
(-.f64 (+.f64 (neg.f64 (log.f64 x)) (+.f64 (log.f64 (fma.f64 2 y -2)) (fma.f64 1/2 (/.f64 (.f64 (pow.f64 (-.f64 2 y) 2) 1) (.f64 x x)) (/.f64 2 x)))) (/.f64 y x))
(+.f64 (-.f64 (log.f64 (fma.f64 y 2 -2)) (log.f64 x)) (-.f64 (fma.f64 1/2 (/.f64 (pow.f64 (-.f64 2 y) 2) (*.f64 x x)) (/.f64 2 x)) (/.f64 y x)))
(-.f64 (+.f64 (+.f64 (log.f64 (fma.f64 y 2 -2)) (.f64 1/2 (/.f64 (pow.f64 (-.f64 2 y) 2) (.f64 x x)))) (/.f64 (-.f64 2 y) x)) (log.f64 x))
(-.f64 (+.f64 (.f64 1/6 (/.f64 (+.f64 (.f64 -6 (pow.f64 (-.f64 2 y) 3)) (+.f64 (.f64 6 (pow.f64 (-.f64 2 y) 3)) (.f64 2 (pow.f64 (-.f64 2 y) 3)))) (pow.f64 x 3))) (+.f64 (log.f64 (/.f64 1 x)) (+.f64 (log.f64 (-.f64 (.f64 2 y) 2)) (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 2 (pow.f64 (-.f64 2 y) 2)) (.f64 -1 (pow.f64 (-.f64 2 y) 2))) (pow.f64 x 2))) (*.f64 2 (/.f64 1 x)))))) (/.f64 y x))
(-.f64 (fma.f64 1/6 (/.f64 (fma.f64 -6 (pow.f64 (-.f64 2 y) 3) (.f64 (pow.f64 (-.f64 2 y) 3) 8)) (pow.f64 x 3)) (+.f64 (neg.f64 (log.f64 x)) (+.f64 (log.f64 (fma.f64 2 y -2)) (fma.f64 1/2 (/.f64 (.f64 (pow.f64 (-.f64 2 y) 2) 1) (*.f64 x x)) (/.f64 2 x))))) (/.f64 y x))
(-.f64 (fma.f64 1/6 (/.f64 (.f64 2 (pow.f64 (-.f64 2 y) 3)) (pow.f64 x 3)) (+.f64 (fma.f64 1/2 (/.f64 (pow.f64 (-.f64 2 y) 2) (.f64 x x)) (/.f64 2 x)) (-.f64 (log.f64 (fma.f64 y 2 -2)) (log.f64 x)))) (/.f64 y x))
(fma.f64 1/6 (/.f64 2 (/.f64 (pow.f64 x 3) (pow.f64 (-.f64 2 y) 3))) (-.f64 (+.f64 (+.f64 (log.f64 (fma.f64 y 2 -2)) (.f64 1/2 (/.f64 (pow.f64 (-.f64 2 y) 2) (.f64 x x)))) (/.f64 (-.f64 2 y) x)) (log.f64 x)))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 (.f64 -1 (-.f64 (.f64 2 y) 2))))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 (neg.f64 (fma.f64 2 y -2))))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 (neg.f64 (fma.f64 y 2 -2))))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 (+.f64 2 (*.f64 y -2))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (.f64 2 (/.f64 1 x)) (log.f64 (.f64 -1 (-.f64 (*.f64 2 y) 2))))) (/.f64 y x))
(+.f64 (log.f64 (/.f64 -1 x)) (-.f64 (+.f64 (/.f64 2 x) (log.f64 (neg.f64 (fma.f64 2 y -2)))) (/.f64 y x)))
(+.f64 (+.f64 (/.f64 2 x) (log.f64 (/.f64 -1 x))) (-.f64 (log.f64 (neg.f64 (fma.f64 y 2 -2))) (/.f64 y x)))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 (+.f64 2 (*.f64 y -2))) (/.f64 (-.f64 2 y) x)))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 2 (pow.f64 (-.f64 2 y) 2)) (.f64 -1 (pow.f64 (-.f64 2 y) 2))) (pow.f64 x 2))) (+.f64 (.f64 2 (/.f64 1 x)) (log.f64 (.f64 -1 (-.f64 (.f64 2 y) 2)))))) (/.f64 y x))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (fma.f64 1/2 (/.f64 (.f64 (pow.f64 (-.f64 2 y) 2) 1) (.f64 x x)) (/.f64 2 x)) (log.f64 (neg.f64 (fma.f64 2 y -2))))) (/.f64 y x))
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(-.f64 (fma.f64 -1/6 (/.f64 (fma.f64 -6 (pow.f64 (-.f64 2 y) 3) (.f64 (pow.f64 (-.f64 2 y) 3) 4)) (pow.f64 x 3)) (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (fma.f64 1/2 (/.f64 (.f64 (pow.f64 (-.f64 2 y) 2) 1) (*.f64 x x)) (/.f64 2 x)) (log.f64 (neg.f64 (fma.f64 2 y -2)))))) (/.f64 y x))
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(log.f64 (+.f64 1 (/.f64 x (-.f64 2 x))))
(log1p.f64 (/.f64 x (-.f64 2 x)))
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(-.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 (/.f64 (fma.f64 y 2 -2) (.f64 x x)) (-.f64 2 y)) (+.f64 (/.f64 (fma.f64 y 2 -2) (/.f64 (pow.f64 x 3) (pow.f64 (-.f64 2 y) 2))) (-.f64 (fma.f64 2 (/.f64 y x) -1) (/.f64 2 x))))
(+.f64 (+.f64 (.f64 2 (/.f64 y x)) (.f64 (/.f64 (fma.f64 y 2 -2) (*.f64 x x)) (+.f64 (-.f64 2 y) (/.f64 (pow.f64 (-.f64 2 y) 2) x)))) (+.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 (+.f64 (/.f64 x (pow.f64 (-.f64 2 x) 2)) (/.f64 -1 (-.f64 2 x))) y (/.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 y y) (+.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (/.f64 (neg.f64 x) (pow.f64 (-.f64 2 x) 3)))) (+.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 y y) (-.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (/.f64 x (pow.f64 (-.f64 2 x) 3)))))
(fma.f64 (+.f64 (/.f64 x (pow.f64 (-.f64 2 x) 3)) (/.f64 -1 (pow.f64 (-.f64 2 x) 2))) (*.f64 y y) (fma.f64 (+.f64 (/.f64 x (pow.f64 (-.f64 2 x) 2)) (/.f64 -1 (-.f64 2 x))) y (/.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 y y) (+.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (/.f64 (neg.f64 x) (pow.f64 (-.f64 2 x) 3)))) (+.f64 (/.f64 x (-.f64 2 x)) (.f64 -1 (+.f64 (.f64 (fma.f64 -1 (/.f64 x (pow.f64 (-.f64 2 x) 4)) (/.f64 1 (pow.f64 (-.f64 2 x) 3))) (pow.f64 y 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 (-.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 3)) (/.f64 x (pow.f64 (-.f64 2 x) 4))) (pow.f64 y 3) (.f64 y (-.f64 (/.f64 1 (-.f64 2 x)) (/.f64 x (pow.f64 (-.f64 2 x) 2))))) (/.f64 x (-.f64 2 x))) (.f64 (*.f64 y y) (-.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (/.f64 x (pow.f64 (-.f64 2 x) 3)))))
(-.f64 (fma.f64 (+.f64 (/.f64 x (pow.f64 (-.f64 2 x) 3)) (/.f64 -1 (pow.f64 (-.f64 2 x) 2))) (.f64 y y) (fma.f64 (+.f64 (/.f64 x (pow.f64 (-.f64 2 x) 2)) (/.f64 -1 (-.f64 2 x))) y (/.f64 x (-.f64 2 x)))) (.f64 (-.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 3)) (/.f64 x (pow.f64 (-.f64 2 x) 4))) (pow.f64 y 3)))
1
(-.f64 (+.f64 1 (.f64 -1 (/.f64 x y))) (.f64 -1 (/.f64 (-.f64 2 x) y)))
(+.f64 1 (/.f64 (*.f64 -1 (-.f64 x (-.f64 2 x))) y))
(+.f64 1 (/.f64 (fma.f64 -1 x (-.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 (neg.f64 (/.f64 x y)) (/.f64 (-.f64 2 x) (/.f64 (.f64 y y) (.f64 -1 (-.f64 x (-.f64 2 x)))))) (/.f64 (neg.f64 (-.f64 2 x)) y)))
(+.f64 (+.f64 1 (*.f64 (/.f64 (fma.f64 -1 x (-.f64 2 x)) y) (/.f64 (-.f64 2 x) y))) (/.f64 (fma.f64 -1 x (-.f64 2 x)) y))
(+.f64 1 (*.f64 (+.f64 (/.f64 (-.f64 2 x) y) 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 2 x) (/.f64 (.f64 y y) (.f64 -1 (-.f64 x (-.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 (.f64 (pow.f64 (-.f64 2 x) 2) (fma.f64 -1 x (-.f64 2 x))) (pow.f64 y 3)) (/.f64 x y)) (.f64 (/.f64 (fma.f64 -1 x (-.f64 2 x)) y) (/.f64 (-.f64 2 x) y)))))
(+.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) y) (/.f64 (-.f64 2 x) y)))
(+.f64 1 (*.f64 (/.f64 (fma.f64 2 x -2) y) (-.f64 -1 (/.f64 (-.f64 2 x) 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) y) (/.f64 (-.f64 2 x) y))) (.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 (/.f64 (fma.f64 2 x -2) (pow.f64 y 3)) (pow.f64 (-.f64 2 x) 2))))

localize5.0ms (0.1%)

Compiler: Compiled 12 to 8 computations (33.3% saved)

localize8.0ms (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))
0.0ms	y	@	inf	(/.f64 (neg.f64 y) (-.f64 2 y))
0.0ms	y	@	-inf	(/.f64 (neg.f64 y) (-.f64 2 y))

rewrite79.0ms (1.5%)

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))))))))

simplify58.0ms (1.1%)

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)))))

eval141.0ms (2.6%)

Compiler: Compiled 5910 to 4204 computations (28.9% saved)

prune39.0ms (0.7%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	233	4	237
Fresh	1	1	2
Picked	0	1	1
Done	1	2	3
Total	235	8	243

Error

Counts

243 → 8

Alt Table

Click to see full alt table

Status	Error	Program
▶	53.4b	(*.f64 -1/2 y)
✓	35.3b	(/.f64 x (-.f64 2 x))
▶	29.0b	(/.f64 (-.f64 (.f64 x x) (.f64 y y)) (*.f64 (-.f64 (-.f64 2 y) x) (+.f64 x y)))
▶	37.2b	(+.f64 1 (/.f64 2 y))
	43.4b	-1
	37.1b	1
✓	27.6b	(/.f64 (neg.f64 y) (-.f64 2 y))
✓	0.0b	(/.f64 (-.f64 x y) (-.f64 (-.f64 2 x) y))

Compiler

Compiled 63 to 45 computations (28.6% saved)

localize3.0ms (0.1%)

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

localize6.0ms (0.1%)

Compiler: Compiled 13 to 10 computations (23.1% saved)

localize41.0ms (0.8%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (-.f64 (-.f64 2 y) x) (+.f64 x y))
✓	3.1b	(-.f64 (.f64 x x) (.f64 y y))
✓	28.5b	(/.f64 (-.f64 (.f64 x x) (.f64 y y)) (*.f64 (-.f64 (-.f64 2 y) x) (+.f64 x y)))

Compiler

Compiled 55 to 21 computations (61.8% saved)

series16.0ms (0.3%)

Counts

3 → 72

Calls

18 calls:

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

rewrite131.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

895×	`fma-def_binary64`
403×	`fma-neg_binary64`
275×	`expm1-udef_binary64`
275×	`log1p-udef_binary64`
220×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	48
1	304	36
2	5129	36

Stop Event

1×	node limit

Counts

3 → 303

Calls

Call 1

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

Outputs

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simplify103.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

715×	`times-frac_binary64`
568×	`associate-/l*_binary64`
541×	`cancel-sign-sub-inv_binary64`
288×	`sub-neg_binary64`
252×	`div-sub_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	216	2326
1	785	2183
2	3227	2023

Stop Event

1×	node limit

Counts

375 → 371

Calls

Call 1

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

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

eval241.0ms (4.5%)

Compiler: Compiled 11190 to 4809 computations (57% saved)

prune113.0ms (2.1%)

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	369	2	371
Fresh	1	1	2
Picked	1	0	1
Done	0	5	5
Total	371	8	379

Error

Counts

379 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	53.4b	(*.f64 -1/2 y)
✓	35.3b	(/.f64 x (-.f64 2 x))
✓	37.2b	(+.f64 1 (/.f64 2 y))
	37.1b	1
	43.4b	-1
▶	44.7b	(/.f64 (-.f64 (.f64 x x) (.f64 y y)) (*.f64 (-.f64 2 y) y))
✓	27.6b	(/.f64 (neg.f64 y) (-.f64 2 y))
✓	0.0b	(/.f64 (-.f64 x y) (-.f64 (-.f64 2 x) y))

Compiler

Compiled 59 to 43 computations (27.1% saved)

localize30.0ms (0.6%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (-.f64 2 y) y)
	3.1b	(-.f64 (.f64 x x) (.f64 y y))
✓	20.7b	(/.f64 (-.f64 (.f64 x x) (.f64 y y)) (*.f64 (-.f64 2 y) y))

Compiler

Compiled 39 to 15 computations (61.5% saved)

series20.0ms (0.4%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
12.0ms	x	@	inf	(/.f64 (-.f64 (.f64 x x) (.f64 y y)) (*.f64 (-.f64 2 y) y))
1.0ms	x	@	0	(/.f64 (-.f64 (.f64 x x) (.f64 y y)) (*.f64 (-.f64 2 y) y))
1.0ms	y	@	0	(/.f64 (-.f64 (.f64 x x) (.f64 y y)) (*.f64 (-.f64 2 y) y))
1.0ms	y	@	inf	(/.f64 (-.f64 (.f64 x x) (.f64 y y)) (*.f64 (-.f64 2 y) y))
1.0ms	y	@	-inf	(/.f64 (-.f64 (.f64 x x) (.f64 y y)) (*.f64 (-.f64 2 y) y))

rewrite105.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

652×	`log-prod_binary64`
494×	`fma-def_binary64`
320×	`pow2_binary64`
221×	`pow1/3_binary64`
218×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	26
1	240	26
2	3742	26

Stop Event

1×	node limit

Counts

2 → 107

Calls

Call 1

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

Outputs

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

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

simplify77.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

702×	`associate-l_binary64`
595×	`associate-r_binary64`
518×	`times-frac_binary64`
403×	`associate-/l*_binary64`
370×	`associate-/r*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	66	635
1	201	576
2	625	530
3	2221	510

Stop Event

1×	node limit

Counts

143 → 137

Calls

Call 1

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

eval200.0ms (3.7%)

Compiler: Compiled 6684 to 2667 computations (60.1% saved)

prune45.0ms (0.8%)

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	305	1	306
Fresh	0	2	2
Picked	1	0	1
Done	0	5	5
Total	306	8	314

Error

Counts

314 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	53.4b	(*.f64 -1/2 y)
✓	35.3b	(/.f64 x (-.f64 2 x))
✓	37.2b	(+.f64 1 (/.f64 2 y))
	37.1b	1
	43.4b	-1
✓	27.6b	(/.f64 (neg.f64 y) (-.f64 2 y))
✓	0.0b	(/.f64 (-.f64 x y) (-.f64 (-.f64 2 x) y))
	44.3b	(/.f64 (.f64 y (neg.f64 y)) (.f64 (-.f64 2 y) y))

Compiler

Compiled 56 to 42 computations (25% saved)

regimes64.0ms (1.2%)

Counts

14 → 1

Calls

Call 1

Inputs
-1
-1
-1
1
(*.f64 -1/2 y)
(+.f64 1 (/.f64 2 y))
(/.f64 x (-.f64 2 x))
(/.f64 (neg.f64 y) (-.f64 2 y))
(/.f64 (-.f64 x y) (-.f64 (-.f64 2 x) y))
(/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))
(/.f64 (.f64 y (neg.f64 y)) (.f64 (-.f64 2 y) y))
(/.f64 (-.f64 (.f64 x x) (.f64 y y)) (*.f64 (-.f64 2 y) y))
(/.f64 (-.f64 (.f64 x x) (.f64 y y)) (*.f64 (-.f64 (-.f64 2 y) x) (+.f64 x y)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))))

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

Calls

4 calls:

42.0ms	x
8.0ms	y
6.0ms	(/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))
5.0ms	(/.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 122 to 68 computations (44.3% saved)

regimes41.0ms (0.8%)

Counts

8 → 3

Calls

Call 1

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

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

Calls

2 calls:

22.0ms	x
18.0ms	y

Results

Error	Segments	Branch
14.8b	3	`x`
14.4b	3	`y`

Compiler

Compiled 31 to 23 computations (25.8% saved)

bsearch35.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
17.0ms	1.691583628363531e-118	4.360747004183161e-104
17.0ms	-2.7743930468776687e-65	-6.631114659844426e-73

Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes168.0ms (3.1%)

Counts

7 → 5

Calls

Call 1

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

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

Calls

2 calls:

98.0ms	y
68.0ms	x

Results

Error	Segments	Branch
22.0b	5	`x`
13.7b	5	`y`

Compiler

Compiled 25 to 19 computations (24% saved)

bsearch155.0ms (2.9%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
71.0ms	5.285115643374038e+40	2.8980976079857506e+56
23.0ms	-2.7743930468776687e-65	-6.631114659844426e-73
18.0ms	-1.7472228930527276e-25	-2.1628330894931542e-26
43.0ms	-462916781935.7031	-172814496.4193428

Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes106.0ms (2%)

Counts

6 → 7

Calls

Call 1

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

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

Calls

2 calls:

76.0ms	y
28.0ms	x

Results

Error	Segments	Branch
22.7b	5	`x`
19.6b	7	`y`

Compiler

Compiled 20 to 16 computations (20% saved)

bsearch119.0ms (2.2%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
19.0ms	5.285115643374038e+40	2.8980976079857506e+56
19.0ms	6.687057651320731e-53	1.5168279358711112e-38
19.0ms	1.691583628363531e-118	4.360747004183161e-104
24.0ms	-2.7743930468776687e-65	-6.631114659844426e-73
19.0ms	-1.7472228930527276e-25	-2.1628330894931542e-26
20.0ms	-462916781935.7031	-172814496.4193428

Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes65.0ms (1.2%)

Counts

5 → 7

Calls

Call 1

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

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

Calls

2 calls:

32.0ms	y
31.0ms	x

Results

Error	Segments	Branch
22.7b	5	`x`
19.7b	7	`y`

Compiler

Compiled 15 to 12 computations (20% saved)

bsearch116.0ms (2.2%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
21.0ms	5.285115643374038e+40	2.8980976079857506e+56
18.0ms	6.687057651320731e-53	1.5168279358711112e-38
20.0ms	1.691583628363531e-118	4.360747004183161e-104
19.0ms	-2.7743930468776687e-65	-6.631114659844426e-73
18.0ms	-1.7472228930527276e-25	-2.1628330894931542e-26
19.0ms	-462916781935.7031	-172814496.4193428

Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes79.0ms (1.5%)

Counts

4 → 3

Calls

Call 1

Inputs
-1
-1
-1
1

Outputs
1
-1
1

Calls

2 calls:

67.0ms	x
11.0ms	y

Results

Error	Segments	Branch
24.7b	3	`x`
22.8b	3	`y`

Compiler

Compiled 12 to 10 computations (16.7% saved)

bsearch109.0ms (2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
82.0ms	5.285115643374038e+40	2.8980976079857506e+56
25.0ms	-462916781935.7031	-172814496.4193428

Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes45.0ms (0.8%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0.0b (-0%)

Counts

3 → 1

Calls

Call 1

Inputs
-1
-1
-1

Outputs
-1

Calls

2 calls:

35.0ms	y
7.0ms	x

Results

Error	Segments	Branch
43.4b	1	`x`
43.4b	1	`y`

Compiler

Compiled 11 to 9 computations (18.2% saved)

simplify25.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	220
1	58	220
2	68	220
3	73	220
4	75	220

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 (-.f64 x y) (-.f64 (-.f64 2 x) y))
(if (<=.f64 y -6579256673555427/237142198758023568227473377297792835283496928595231875152809132048206089502588928) (/.f64 (neg.f64 y) (-.f64 2 y)) (if (<=.f64 y 122950848647908288/726838724295606890549323807888004534353641360687318060281490199180639288113397923326191050713763565560762521606266177933534601628614656) (/.f64 x (-.f64 2 x)) (/.f64 (neg.f64 y) (-.f64 2 y))))
(if (<=.f64 y -29626674043885/64) (+.f64 1 (/.f64 2 y)) (if (<=.f64 y -951278626538291/5444517870735015415413993718908291383296) (/.f64 x (-.f64 2 x)) (if (<=.f64 y -6579256673555427/237142198758023568227473377297792835283496928595231875152809132048206089502588928) (*.f64 -1/2 y) (if (<=.f64 y 52851156433740378628680269629906334253056) (/.f64 x (-.f64 2 x)) 1))))
(if (<=.f64 y -29626674043885/64) (+.f64 1 (/.f64 2 y)) (if (<=.f64 y -951278626538291/5444517870735015415413993718908291383296) -1 (if (<=.f64 y -6579256673555427/237142198758023568227473377297792835283496928595231875152809132048206089502588928) (.f64 -1/2 y) (if (<=.f64 y 122950848647908288/726838724295606890549323807888004534353641360687318060281490199180639288113397923326191050713763565560762521606266177933534601628614656) -1 (if (<=.f64 y 7211308705590741/107839786668602559178668060348078522694548577690162289924414440996864) (.f64 -1/2 y) (if (<=.f64 y 52851156433740378628680269629906334253056) -1 1))))))
(if (<=.f64 y -29626674043885/64) 1 (if (<=.f64 y -951278626538291/5444517870735015415413993718908291383296) -1 (if (<=.f64 y -6579256673555427/237142198758023568227473377297792835283496928595231875152809132048206089502588928) (.f64 -1/2 y) (if (<=.f64 y 122950848647908288/726838724295606890549323807888004534353641360687318060281490199180639288113397923326191050713763565560762521606266177933534601628614656) -1 (if (<=.f64 y 7211308705590741/107839786668602559178668060348078522694548577690162289924414440996864) (.f64 -1/2 y) (if (<=.f64 y 52851156433740378628680269629906334253056) -1 1))))))
(if (<=.f64 y -29626674043885/64) 1 (if (<=.f64 y 52851156433740378628680269629906334253056) -1 1))
-1

Outputs
(/.f64 (-.f64 x y) (-.f64 (-.f64 2 x) y))
(if (<=.f64 y -6579256673555427/237142198758023568227473377297792835283496928595231875152809132048206089502588928) (/.f64 (neg.f64 y) (-.f64 2 y)) (if (<=.f64 y 122950848647908288/726838724295606890549323807888004534353641360687318060281490199180639288113397923326191050713763565560762521606266177933534601628614656) (/.f64 x (-.f64 2 x)) (/.f64 (neg.f64 y) (-.f64 2 y))))
(if (<=.f64 y -6579256673555427/237142198758023568227473377297792835283496928595231875152809132048206089502588928) (/.f64 (neg.f64 y) (-.f64 2 y)) (if (<=.f64 y 1921107010123567/11356855067118857664833184498250070849275646260739344691898284362197488876771842551971735167402555711886914400097909030211478150447104) (/.f64 x (-.f64 2 x)) (/.f64 (neg.f64 y) (-.f64 2 y))))
(if (<=.f64 y -29626674043885/64) (+.f64 1 (/.f64 2 y)) (if (<=.f64 y -951278626538291/5444517870735015415413993718908291383296) (/.f64 x (-.f64 2 x)) (if (<=.f64 y -6579256673555427/237142198758023568227473377297792835283496928595231875152809132048206089502588928) (*.f64 -1/2 y) (if (<=.f64 y 52851156433740378628680269629906334253056) (/.f64 x (-.f64 2 x)) 1))))
(if (<=.f64 y -29626674043885/64) (+.f64 1 (/.f64 2 y)) (if (<=.f64 y -951278626538291/5444517870735015415413993718908291383296) (/.f64 x (-.f64 2 x)) (if (<=.f64 y -6579256673555427/237142198758023568227473377297792835283496928595231875152809132048206089502588928) (*.f64 y -1/2) (if (<=.f64 y 52851156433740378628680269629906334253056) (/.f64 x (-.f64 2 x)) 1))))
(if (<=.f64 y -29626674043885/64) (+.f64 1 (/.f64 2 y)) (if (<=.f64 y -951278626538291/5444517870735015415413993718908291383296) -1 (if (<=.f64 y -6579256673555427/237142198758023568227473377297792835283496928595231875152809132048206089502588928) (.f64 -1/2 y) (if (<=.f64 y 122950848647908288/726838724295606890549323807888004534353641360687318060281490199180639288113397923326191050713763565560762521606266177933534601628614656) -1 (if (<=.f64 y 7211308705590741/107839786668602559178668060348078522694548577690162289924414440996864) (.f64 -1/2 y) (if (<=.f64 y 52851156433740378628680269629906334253056) -1 1))))))
(if (<=.f64 y -29626674043885/64) (+.f64 1 (/.f64 2 y)) (if (<=.f64 y -951278626538291/5444517870735015415413993718908291383296) -1 (if (<=.f64 y -6579256673555427/237142198758023568227473377297792835283496928595231875152809132048206089502588928) (.f64 y -1/2) (if (<=.f64 y 1921107010123567/11356855067118857664833184498250070849275646260739344691898284362197488876771842551971735167402555711886914400097909030211478150447104) -1 (if (<=.f64 y 7211308705590741/107839786668602559178668060348078522694548577690162289924414440996864) (.f64 y -1/2) (if (<=.f64 y 52851156433740378628680269629906334253056) -1 1))))))
(if (<=.f64 y -29626674043885/64) 1 (if (<=.f64 y -951278626538291/5444517870735015415413993718908291383296) -1 (if (<=.f64 y -6579256673555427/237142198758023568227473377297792835283496928595231875152809132048206089502588928) (.f64 -1/2 y) (if (<=.f64 y 122950848647908288/726838724295606890549323807888004534353641360687318060281490199180639288113397923326191050713763565560762521606266177933534601628614656) -1 (if (<=.f64 y 7211308705590741/107839786668602559178668060348078522694548577690162289924414440996864) (.f64 -1/2 y) (if (<=.f64 y 52851156433740378628680269629906334253056) -1 1))))))
(if (<=.f64 y -29626674043885/64) 1 (if (<=.f64 y -951278626538291/5444517870735015415413993718908291383296) -1 (if (<=.f64 y -6579256673555427/237142198758023568227473377297792835283496928595231875152809132048206089502588928) (.f64 y -1/2) (if (<=.f64 y 1921107010123567/11356855067118857664833184498250070849275646260739344691898284362197488876771842551971735167402555711886914400097909030211478150447104) -1 (if (<=.f64 y 7211308705590741/107839786668602559178668060348078522694548577690162289924414440996864) (.f64 y -1/2) (if (<=.f64 y 52851156433740378628680269629906334253056) -1 1))))))
(if (<=.f64 y -29626674043885/64) 1 (if (<=.f64 y 52851156433740378628680269629906334253056) -1 1))
-1

Compiler

Compiled 169 to 127 computations (24.9% saved)

soundness369.0ms (6.8%)

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)

end170.0ms (3.2%)

Compiler: Compiled 157 to 115 computations (26.8% saved)

Details

analyze80.0ms (1.5%)

sample1.2s (22.3%)

preprocess180.0ms (3.3%)

simplify144.0ms (2.7%)

eval1.0ms (0%)

prune1.0ms (0%)

localize11.0ms (0.2%)

series5.0ms (0.1%)

rewrite95.0ms (1.8%)

simplify66.0ms (1.2%)

eval50.0ms (0.9%)

prune15.0ms (0.3%)

localize19.0ms (0.3%)

series46.0ms (0.8%)

rewrite211.0ms (3.9%)

simplify129.0ms (2.4%)

localize5.0ms (0.1%)

localize8.0ms (0.1%)

series2.0ms (0%)

rewrite79.0ms (1.5%)

simplify58.0ms (1.1%)

eval141.0ms (2.6%)

prune39.0ms (0.7%)

localize3.0ms (0.1%)

localize6.0ms (0.1%)

localize41.0ms (0.8%)

series16.0ms (0.3%)

rewrite131.0ms (2.4%)

simplify103.0ms (1.9%)

eval241.0ms (4.5%)

prune113.0ms (2.1%)

localize30.0ms (0.6%)

series20.0ms (0.4%)

rewrite105.0ms (2%)

simplify77.0ms (1.4%)

eval200.0ms (3.7%)

prune45.0ms (0.8%)

regimes64.0ms (1.2%)

regimes41.0ms (0.8%)

bsearch35.0ms (0.7%)

regimes168.0ms (3.1%)

bsearch155.0ms (2.9%)

regimes106.0ms (2%)

bsearch119.0ms (2.2%)

regimes65.0ms (1.2%)

bsearch116.0ms (2.2%)

regimes79.0ms (1.5%)

bsearch109.0ms (2%)

regimes45.0ms (0.8%)

simplify25.0ms (0.5%)

soundness369.0ms (6.8%)

end170.0ms (3.2%)

Profiling