Details

analyze107.0ms (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)

sample900.0ms (12.3%)

Results

889.0ms	8255×	body	256	valid
0.0ms	1×	body	1024	valid

preprocess184.0ms (2.5%)

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)

simplify198.0ms (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)

prune2.0ms (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)

localize20.0ms (0.3%)

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)

series9.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite96.0ms (1.3%)

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)))))))))

simplify95.0ms (1.3%)

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)))))

eval76.0ms (1%)

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

prune23.0ms (0.3%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	88	8	96
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	88	9	97

Error

Counts

97 → 9

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(/.f64 (-.f64 x y) (-.f64 (-.f64 2 x) y))
▶	43.5b	(+.f64 (-.f64 1 (/.f64 x y)) (*.f64 (/.f64 (-.f64 2 x) y) (-.f64 (/.f64 (-.f64 (-.f64 2 x) x) y) -1)))
▶	43.0b	(+.f64 1 (/.f64 (-.f64 (-.f64 2 x) x) y))
	36.7b	-1
	25.9b	(.f64 (/.f64 (-.f64 x y) (-.f64 (pow.f64 (-.f64 2 x) 2) (.f64 y y))) (+.f64 y (-.f64 2 x)))
	43.2b	1
▶	0.1b	(*.f64 (/.f64 1 (-.f64 2 (+.f64 x y))) (-.f64 x y))
▶	34.0b	(/.f64 (neg.f64 y) (-.f64 2 y))
▶	28.9b	(/.f64 x (-.f64 2 x))

Compiler

Compiled 183 to 129 computations (29.5% saved)

localize16.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 35 to 17 computations (51.4% saved)

series6.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite97.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 80

Calls

Call 1

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

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

Outputs

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

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

simplify75.0ms (1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

128 → 144

Calls

Call 1

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

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

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 12 to 8 computations (33.3% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(/.f64 x (-.f64 2 x))
0.0ms	x	@	0	(/.f64 x (-.f64 2 x))
0.0ms	x	@	-inf	(/.f64 x (-.f64 2 x))

rewrite62.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 33

Calls

Call 1

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

Outputs

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

simplify56.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

45 → 47

Calls

Call 1

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

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

localize6.0ms (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)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	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))

rewrite57.0ms (0.8%)

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))))))))

simplify61.0ms (0.8%)

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)))))

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 30 to 19 computations (36.7% saved)

series5.0ms (0.1%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	y	@	0	(+.f64 1 (/.f64 (-.f64 (-.f64 2 x) x) y))
1.0ms	x	@	0	(+.f64 1 (/.f64 (-.f64 (-.f64 2 x) x) y))
1.0ms	x	@	inf	(+.f64 1 (/.f64 (-.f64 (-.f64 2 x) x) y))
0.0ms	x	@	inf	(-.f64 (-.f64 2 x) x)
0.0ms	y	@	inf	(+.f64 1 (/.f64 (-.f64 (-.f64 2 x) x) y))

rewrite114.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

497×	`log-prod_binary64`
444×	`fma-def_binary64`
309×	`pow-prod-down_binary64`
285×	`pow2_binary64`
255×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	20
1	213	20
2	3215	20

Stop Event

1×	node limit

Counts

2 → 167

Calls

Call 1

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

Outputs

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

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

simplify70.0ms (1%)

Algorithm

1×	egg-herbie

Rules

628×	`fma-def_binary64`
537×	`fma-neg_binary64`
178×	`cancel-sign-sub-inv_binary64`
77×	`div-sub_binary64`
65×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	357
1	48	283
2	94	283
3	151	283
4	259	283
5	485	283
6	929	283
7	1423	283
8	2234	283
9	2606	283
10	2699	283

Stop Event

1×

saturated

Counts

203 → 181

Calls

Call 1

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

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

localize28.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 80 to 49 computations (38.8% saved)

series13.0ms (0.2%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
4.0ms	x	@	-inf	(+.f64 (-.f64 1 (/.f64 x y)) (*.f64 (/.f64 (-.f64 2 x) y) (-.f64 (/.f64 (-.f64 (-.f64 2 x) x) y) -1)))
2.0ms	x	@	0	(+.f64 (-.f64 1 (/.f64 x y)) (*.f64 (/.f64 (-.f64 2 x) y) (-.f64 (/.f64 (-.f64 (-.f64 2 x) x) y) -1)))
1.0ms	x	@	inf	(+.f64 (-.f64 1 (/.f64 x y)) (*.f64 (/.f64 (-.f64 2 x) y) (-.f64 (/.f64 (-.f64 (-.f64 2 x) x) y) -1)))
1.0ms	y	@	0	(+.f64 (-.f64 1 (/.f64 x y)) (*.f64 (/.f64 (-.f64 2 x) y) (-.f64 (/.f64 (-.f64 (-.f64 2 x) x) y) -1)))
1.0ms	y	@	-inf	(+.f64 (-.f64 1 (/.f64 x y)) (*.f64 (/.f64 (-.f64 2 x) y) (-.f64 (/.f64 (-.f64 (-.f64 2 x) x) y) -1)))

rewrite117.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	66
1	361	63
2	5776	63

Stop Event

1×	node limit

Counts

3 → 172

Calls

Call 1

Inputs

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

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

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

Outputs

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

simplify76.0ms (1%)

Algorithm

1×	egg-herbie

Rules

896×	`times-frac_binary64`
599×	`fma-neg_binary64`
462×	`associate-/l*_binary64`
327×	`fma-def_binary64`
322×	`associate-/r*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	79	1824
1	269	1722
2	730	1472
3	2517	1420

Stop Event

1×	node limit

Counts

244 → 222

Calls

Call 1

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

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

eval481.0ms (6.6%)

Compiler: Compiled 16934 to 10748 computations (36.5% saved)

prune115.0ms (1.6%)

Pruning

13 alts after pruning (9 fresh and 4 done)

	Pruned	Kept	Total
New	742	9	751
Fresh	3	0	3
Picked	1	0	1
Done	1	4	5
Total	747	13	760

Error

Counts

760 → 13

Alt Table

Click to see full alt table

Status	Error	Program
▶	29.0b	(*.f64 (/.f64 1 (-.f64 2 x)) x)
	36.7b	-1
▶	42.9b	(+.f64 1 (/.f64 (*.f64 -2 x) y))
	43.2b	1
✓	0.1b	(*.f64 (/.f64 1 (-.f64 2 (+.f64 x y))) (-.f64 x y))
	53.8b	(*.f64 y (fma.f64 y -1/4 -1/2))
▶	54.7b	(*.f64 1/2 x)
✓	34.0b	(/.f64 (neg.f64 y) (-.f64 2 y))
	43.5b	(-.f64 1 (/.f64 (-.f64 x (*.f64 (-.f64 2 x) (+.f64 1 (/.f64 (-.f64 2 (+.f64 x x)) y)))) y))
✓	0.0b	(/.f64 (-.f64 x y) (-.f64 (-.f64 2 x) y))
▶	43.2b	(+.f64 1 (/.f64 2 y))
▶	53.5b	(*.f64 -1/2 y)
✓	28.9b	(/.f64 x (-.f64 2 x))

Compiler

Compiled 173 to 131 computations (24.3% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 20 to 15 computations (25% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite110.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 45

Calls

Call 1

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

Outputs

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

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

simplify68.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

69 → 73

Calls

Call 1

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

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

localize3.0ms (0%)

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

localize3.0ms (0%)

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

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 10 computations (23.1% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite61.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

626×	`pow1_binary64`
588×	`add-log-exp_binary64`
587×	`log1p-expm1-u_binary64`
587×	`expm1-log1p-u_binary64`
578×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	130	7
2	1618	7

Stop Event

1×	node limit

Counts

1 → 31

Calls

Call 1

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

Outputs

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

simplify11.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

2×	`fma-def_binary64`
1×	`+-commutative_binary64`
1×	`*-commutative_binary64`
1×	`associate-*r/_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	69
1	14	69
2	16	69

Stop Event

1×

saturated

Counts

43 → 35

Calls

Call 1

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

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

localize10.0ms (0.1%)

Compiler: Compiled 21 to 14 computations (33.3% saved)

eval31.0ms (0.4%)

Compiler: Compiled 1175 to 912 computations (22.4% saved)

prune21.0ms (0.3%)

Pruning

14 alts after pruning (5 fresh and 9 done)

	Pruned	Kept	Total
New	106	2	108
Fresh	1	3	4
Picked	0	1	1
Done	0	8	8
Total	107	14	121

Error

Counts

121 → 14

Alt Table

Click to see full alt table

Status	Error	Program
✓	29.0b	(*.f64 (/.f64 1 (-.f64 2 x)) x)
	36.7b	-1
	43.2b	1
✓	43.2b	(+.f64 1 (/.f64 2 y))
✓	0.1b	(*.f64 (/.f64 1 (-.f64 2 (+.f64 x y))) (-.f64 x y))
▶	53.8b	(*.f64 y (fma.f64 y -1/4 -1/2))
✓	54.7b	(*.f64 1/2 x)
✓	34.0b	(/.f64 (neg.f64 y) (-.f64 2 y))
▶	43.5b	(-.f64 1 (/.f64 (-.f64 x (*.f64 (-.f64 2 x) (+.f64 1 (/.f64 (-.f64 2 (+.f64 x x)) y)))) y))
✓	0.0b	(/.f64 (-.f64 x y) (-.f64 (-.f64 2 x) y))
✓	42.9b	(+.f64 1 (/.f64 (*.f64 -2 x) y))
▶	28.9b	(/.f64 1 (/.f64 (-.f64 2 x) x))
✓	53.5b	(*.f64 -1/2 y)
✓	28.9b	(/.f64 x (-.f64 2 x))

Compiler

Compiled 118 to 89 computations (24.6% saved)

localize12.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 y (fma.f64 y -1/4 -1/2))

Compiler

Compiled 15 to 11 computations (26.7% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	y	@	-inf	(*.f64 y (fma.f64 y -1/4 -1/2))
1.0ms	y	@	0	(*.f64 y (fma.f64 y -1/4 -1/2))
1.0ms	y	@	inf	(*.f64 y (fma.f64 y -1/4 -1/2))

rewrite56.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

541×	`pow1_binary64`
529×	`add-sqr-sqrt_binary64`
503×	`add-log-exp_binary64`
503×	`log1p-expm1-u_binary64`
503×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	122	8
2	1335	8

Stop Event

1×	node limit

Counts

1 → 13

Calls

Call 1

Inputs
(*.f64 y (fma.f64 y -1/4 -1/2))

Outputs

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

simplify192.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

778×	`sqr-pow_binary64`
565×	`cube-prod_binary64`
559×	`fabs-mul_binary64`
529×	`associate-l_binary64`
528×	`pow-sqr_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	9	117
1	18	117
2	32	108
3	68	90
4	168	90
5	480	90
6	1702	90
7	2955	90
8	3159	90
9	3372	90
10	3592	90
11	3905	90
12	4307	90
13	4820	90
14	5388	90
15	6070	90
16	6905	90
17	7299	90
18	7587	90
19	7863	90
20	7939	90
21	7975	90

Stop Event

1×	node limit

Counts

25 → 18

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

localize31.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 1 (/.f64 (-.f64 x (*.f64 (-.f64 2 x) (+.f64 1 (/.f64 (-.f64 2 (+.f64 x x)) y)))) y))
✓	0.0b	(+.f64 1 (/.f64 (-.f64 2 (+.f64 x x)) y))
✓	0.0b	(*.f64 (-.f64 2 x) (+.f64 1 (/.f64 (-.f64 2 (+.f64 x x)) y)))
✓	3.1b	(/.f64 (-.f64 x (*.f64 (-.f64 2 x) (+.f64 1 (/.f64 (-.f64 2 (+.f64 x x)) y)))) y)

Compiler

Compiled 97 to 56 computations (42.3% saved)

series13.0ms (0.2%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
4.0ms	y	@	-inf	(/.f64 (-.f64 x (*.f64 (-.f64 2 x) (+.f64 1 (/.f64 (-.f64 2 (+.f64 x x)) y)))) y)
1.0ms	x	@	0	(/.f64 (-.f64 x (*.f64 (-.f64 2 x) (+.f64 1 (/.f64 (-.f64 2 (+.f64 x x)) y)))) y)
1.0ms	x	@	-inf	(/.f64 (-.f64 x (*.f64 (-.f64 2 x) (+.f64 1 (/.f64 (-.f64 2 (+.f64 x x)) y)))) y)
1.0ms	x	@	inf	(/.f64 (-.f64 x (*.f64 (-.f64 2 x) (+.f64 1 (/.f64 (-.f64 2 (+.f64 x x)) y)))) y)
1.0ms	y	@	inf	(/.f64 (-.f64 x (*.f64 (-.f64 2 x) (+.f64 1 (/.f64 (-.f64 2 (+.f64 x x)) y)))) y)

rewrite162.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

462×	`fma-neg_binary64`
303×	`expm1-udef_binary64`
302×	`log1p-udef_binary64`
234×	`log-pow_binary64`
189×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	85
1	353	85
2	6009	85

Stop Event

1×	node limit

Counts

4 → 164

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x y) (neg.f64 (/.f64 (-.f64 2 x) (/.f64 y (+.f64 1 (/.f64 (+.f64 2 (+.f64 x x)) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x y) (/.f64 (-.f64 2 x) (/.f64 y (+.f64 1 (/.f64 (+.f64 2 (+.f64 x x)) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (-.f64 x (.f64 (-.f64 2 x) (+.f64 1 (/.f64 (+.f64 2 (+.f64 x x)) y)))) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (-.f64 x (.f64 (-.f64 2 x) (+.f64 1 (/.f64 (+.f64 2 (+.f64 x x)) y)))) y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 x (.f64 (-.f64 2 x) (+.f64 1 (/.f64 (+.f64 2 (+.f64 x x)) y)))) (pow.f64 y -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 x (.f64 (-.f64 2 x) (+.f64 1 (/.f64 (+.f64 2 (+.f64 x x)) y)))) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (-.f64 x (.f64 (-.f64 2 x) (+.f64 1 (/.f64 (+.f64 2 (+.f64 x x)) y))))) 2) (.f64 (cbrt.f64 (-.f64 x (.f64 (-.f64 2 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simplify85.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

763×	`fma-neg_binary64`
641×	`times-frac_binary64`
554×	`associate-/l*_binary64`
470×	`fma-def_binary64`
361×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	99	2425
1	342	2226
2	947	2008
3	3306	1919

Stop Event

1×	node limit

Counts

260 → 236

Calls

Call 1

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

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

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 20 to 14 computations (30% saved)

series17.0ms (0.2%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
16.0ms	x	@	-inf	(/.f64 1 (/.f64 (-.f64 2 x) x))
0.0ms	x	@	0	(/.f64 1 (/.f64 (-.f64 2 x) x))
0.0ms	x	@	inf	(/.f64 1 (/.f64 (-.f64 2 x) x))

rewrite60.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

868×	`pow1_binary64`
815×	`add-log-exp_binary64`
814×	`log1p-expm1-u_binary64`
814×	`expm1-log1p-u_binary64`
799×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	161	7
2	2219	7

Stop Event

1×	node limit

Counts

1 → 38

Calls

Call 1

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

Outputs

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

simplify62.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

50 → 52

Calls

Call 1

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

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

eval349.0ms (4.8%)

Compiler: Compiled 7250 to 4916 computations (32.2% saved)

prune108.0ms (1.5%)

Pruning

14 alts after pruning (3 fresh and 11 done)

	Pruned	Kept	Total
New	304	2	306
Fresh	1	1	2
Picked	0	1	1
Done	1	10	11
Total	306	14	320

Error

Counts

320 → 14

Alt Table

Click to see full alt table

Status	Error	Program
	43.2b	1
✓	43.2b	(+.f64 1 (/.f64 2 y))
	53.8b	(+.f64 (.f64 (.f64 y -1/4) y) (*.f64 -1/2 y))
✓	54.7b	(*.f64 1/2 x)
✓	34.0b	(/.f64 (neg.f64 y) (-.f64 2 y))
✓	43.5b	(-.f64 1 (/.f64 (-.f64 x (*.f64 (-.f64 2 x) (+.f64 1 (/.f64 (-.f64 2 (+.f64 x x)) y)))) y))
✓	0.0b	(/.f64 (-.f64 x y) (-.f64 (-.f64 2 x) y))
✓	29.0b	(*.f64 (/.f64 1 (-.f64 2 x)) x)
✓	42.9b	(+.f64 1 (/.f64 (*.f64 -2 x) y))
✓	28.9b	(/.f64 1 (/.f64 (-.f64 2 x) x))
✓	0.1b	(*.f64 (/.f64 1 (-.f64 2 (+.f64 x y))) (-.f64 x y))
✓	53.5b	(*.f64 -1/2 y)
✓	28.9b	(/.f64 x (-.f64 2 x))
	36.7b	-1

Compiler

Compiled 121 to 91 computations (24.8% saved)

regimes83.0ms (1.1%)

Counts

23 → 1

Calls

Call 1

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

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

Calls

4 calls:

50.0ms	x
14.0ms	y
6.0ms	(/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))
6.0ms	(/.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 191 to 124 computations (35.1% saved)

regimes291.0ms (4%)

Counts

16 → 5

Calls

Call 1

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

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

Calls

2 calls:

169.0ms	y
118.0ms	x

Results

Error	Segments	Branch
11.8b	5	`x`
12.9b	7	`y`

Compiler

Compiled 75 to 54 computations (28% saved)

bsearch196.0ms (2.7%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
60.0ms	6.285753023433205e-16	7.044342452142171e-16
35.0ms	-5.268119908707239e-116	-1.492891915107546e-122
71.0ms	-1.7034663505553692e-98	-3.799725986740355e-101
30.0ms	-4.820113211539896e+45	-3.208380997947883e+38

Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes132.0ms (1.8%)

Counts

11 → 5

Calls

Call 1

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

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

Calls

2 calls:

74.0ms	y
54.0ms	x

Results

Error	Segments	Branch
11.8b	5	`x`
13.1b	7	`y`

Compiler

Compiled 36 to 27 computations (25% saved)

bsearch105.0ms (1.4%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
17.0ms	6.285753023433205e-16	7.044342452142171e-16
20.0ms	-5.268119908707239e-116	-1.492891915107546e-122
51.0ms	-1.7034663505553692e-98	-3.799725986740355e-101
17.0ms	-4.820113211539896e+45	-3.208380997947883e+38

Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes158.0ms (2.2%)

Counts

10 → 6

Calls

Call 1

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

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

Calls

2 calls:

83.0ms	x
72.0ms	y

Results

Error	Segments	Branch
18.5b	7	`x`
14.7b	6	`y`

Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch128.0ms (1.8%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
56.0ms	57.87169821626854	4659018427.59083
16.0ms	8.286997312357007e-103	1.9630733440788926e-102
15.0ms	-3.3491262313392206e+25	-6.957286716310456e+24
19.0ms	-1.1296334899709073e+76	-5.884583977951197e+75
21.0ms	-9.51645033025358e+91	-3.796002271977416e+91

Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes104.0ms (1.4%)

Counts

9 → 7

Calls

Call 1

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

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

Calls

2 calls:

70.0ms	x
32.0ms	y

Results

Error	Segments	Branch
19.2b	7	`x`
22.2b	6	`y`

Compiler

Compiled 25 to 20 computations (20% saved)

bsearch100.0ms (1.4%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
18.0ms	0.037081330015517396	1090310108487131600.0
17.0ms	3.435250785373719e-175	8.59215450626112e-175
15.0ms	-8.293979706213011e-160	-4.814224578891682e-160
16.0ms	-5.268119908707239e-116	-1.492891915107546e-122
15.0ms	-1.7034663505553692e-98	-3.799725986740355e-101
18.0ms	-4.820113211539896e+45	-3.208380997947883e+38

Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes211.0ms (2.9%)

Counts

8 → 7

Calls

Call 1

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

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

Calls

2 calls:

115.0ms	y
93.0ms	x

Results

Error	Segments	Branch
19.3b	7	`x`
21.3b	7	`y`

Compiler

Compiled 20 to 16 computations (20% saved)

bsearch208.0ms (2.8%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
27.0ms	0.037081330015517396	1090310108487131600.0
28.0ms	3.435250785373719e-175	8.59215450626112e-175
36.0ms	-8.293979706213011e-160	-4.814224578891682e-160
28.0ms	-5.268119908707239e-116	-1.492891915107546e-122
59.0ms	-1.7034663505553692e-98	-3.799725986740355e-101
28.0ms	-4.820113211539896e+45	-3.208380997947883e+38

Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes132.0ms (1.8%)

Counts

7 → 5

Calls

Call 1

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

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

Calls

2 calls:

83.0ms	y
47.0ms	x

Results

Error	Segments	Branch
21.0b	5	`x`
23.3b	5	`y`

Compiler

Compiled 17 to 14 computations (17.6% saved)

bsearch83.0ms (1.1%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
33.0ms	0.037081330015517396	1090310108487131600.0
16.0ms	-5.268119908707239e-116	-1.492891915107546e-122
17.0ms	-1.7034663505553692e-98	-3.799725986740355e-101
17.0ms	-4.820113211539896e+45	-3.208380997947883e+38

Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes75.0ms (1%)

Accuracy

Total -40.6b remaining (-181.3%)

Threshold costs -40.6b (-181.3%)

Counts

6 → 3

Calls

Call 1

Inputs
-1
1
-1
1
-1
1

Outputs
-1
1
-1

Calls

2 calls:

59.0ms	y
15.0ms	x

Results

Error	Segments	Branch
22.4b	3	`x`
23.3b	5	`y`

Compiler

Compiled 14 to 12 computations (14.3% saved)

bsearch34.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
16.0ms	0.037081330015517396	1090310108487131600.0
18.0ms	-4.820113211539896e+45	-3.208380997947883e+38

Compiler

Compiled 16 to 11 computations (31.3% saved)

simplify70.0ms (1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	73	339
1	87	339
2	97	339
3	102	339
4	104	339

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 (-.f64 x y) (-.f64 (-.f64 2 x) y))
(if (<=.f64 x -4820113211539895714351115576670099018568695808) -1 (if (<=.f64 x -5243749351557199/307828173409331868845930000782371982852185463050511302093346042220669701339821957901673955116288403443801781174272) (/.f64 (neg.f64 y) (-.f64 2 y)) (if (<=.f64 x -584270256634683/11090678776483259438313656736572334813745748301503266300681918322458485231222502492159897624416558312389564843845614287315896631296) (/.f64 1 (/.f64 (-.f64 2 x) x)) (if (<=.f64 x 796813859304151/1267650600228229401496703205376) (/.f64 (neg.f64 y) (-.f64 2 y)) (/.f64 x (-.f64 2 x))))))
(if (<=.f64 x -4820113211539895714351115576670099018568695808) -1 (if (<=.f64 x -5243749351557199/307828173409331868845930000782371982852185463050511302093346042220669701339821957901673955116288403443801781174272) (/.f64 (neg.f64 y) (-.f64 2 y)) (if (<=.f64 x -584270256634683/11090678776483259438313656736572334813745748301503266300681918322458485231222502492159897624416558312389564843845614287315896631296) (/.f64 x (-.f64 2 x)) (if (<=.f64 x 796813859304151/1267650600228229401496703205376) (/.f64 (neg.f64 y) (-.f64 2 y)) (/.f64 x (-.f64 2 x))))))
(if (<=.f64 y -95164503302535802479542244351475152319107827029702336353312868025103617514335668070533562368) 1 (if (<=.f64 y -11296334899709073119794859081738689628630231513979416929846277187288728338432) -1 (if (<=.f64 y -33491262313392205593575424) 1 (if (<=.f64 y 8359022577945477/10086913586276986678343434265636765134100413253239154346994763111486904773503285916522052161250538404046496765518544896) (/.f64 x (-.f64 2 x)) (if (<=.f64 y 4072358726907575/70368744177664) (*.f64 -1/2 y) (+.f64 1 (/.f64 2 y)))))))
(if (<=.f64 x -4820113211539895714351115576670099018568695808) -1 (if (<=.f64 x -5243749351557199/307828173409331868845930000782371982852185463050511302093346042220669701339821957901673955116288403443801781174272) (+.f64 1 (/.f64 2 y)) (if (<=.f64 x -584270256634683/11090678776483259438313656736572334813745748301503266300681918322458485231222502492159897624416558312389564843845614287315896631296) (.f64 1/2 x) (if (<=.f64 x -3282165328875913/3957286423569672544968040336314355040562101585619389438625008897486355601704509874725062416979888719833562742816258229429621840548908019359480738481630290686665708354379186176) (+.f64 1 (/.f64 2 y)) (if (<=.f64 x 3061157756817891/8911016831293350036408538292383381493932086928219843614412485386522021810954448020519360959604241015192660760885926576778688876408936402340337229140082449586429677098359892480630613656731648) (.f64 -1/2 y) (if (<=.f64 x 5343982849289169/144115188075855872) 1 -1))))))
(if (<=.f64 x -4820113211539895714351115576670099018568695808) -1 (if (<=.f64 x -5243749351557199/307828173409331868845930000782371982852185463050511302093346042220669701339821957901673955116288403443801781174272) 1 (if (<=.f64 x -584270256634683/11090678776483259438313656736572334813745748301503266300681918322458485231222502492159897624416558312389564843845614287315896631296) (.f64 1/2 x) (if (<=.f64 x -3282165328875913/3957286423569672544968040336314355040562101585619389438625008897486355601704509874725062416979888719833562742816258229429621840548908019359480738481630290686665708354379186176) 1 (if (<=.f64 x 3061157756817891/8911016831293350036408538292383381493932086928219843614412485386522021810954448020519360959604241015192660760885926576778688876408936402340337229140082449586429677098359892480630613656731648) (.f64 -1/2 y) (if (<=.f64 x 5343982849289169/144115188075855872) 1 -1))))))
(if (<=.f64 x -4820113211539895714351115576670099018568695808) -1 (if (<=.f64 x -5243749351557199/307828173409331868845930000782371982852185463050511302093346042220669701339821957901673955116288403443801781174272) 1 (if (<=.f64 x -584270256634683/11090678776483259438313656736572334813745748301503266300681918322458485231222502492159897624416558312389564843845614287315896631296) (*.f64 1/2 x) (if (<=.f64 x 5343982849289169/144115188075855872) 1 -1))))
(if (<=.f64 x -4820113211539895714351115576670099018568695808) -1 (if (<=.f64 x 5343982849289169/144115188075855872) 1 -1))
-1

Outputs
(/.f64 (-.f64 x y) (-.f64 (-.f64 2 x) y))
(if (<=.f64 x -4820113211539895714351115576670099018568695808) -1 (if (<=.f64 x -5243749351557199/307828173409331868845930000782371982852185463050511302093346042220669701339821957901673955116288403443801781174272) (/.f64 (neg.f64 y) (-.f64 2 y)) (if (<=.f64 x -584270256634683/11090678776483259438313656736572334813745748301503266300681918322458485231222502492159897624416558312389564843845614287315896631296) (/.f64 1 (/.f64 (-.f64 2 x) x)) (if (<=.f64 x 796813859304151/1267650600228229401496703205376) (/.f64 (neg.f64 y) (-.f64 2 y)) (/.f64 x (-.f64 2 x))))))
(if (<=.f64 x -4820113211539895714351115576670099018568695808) -1 (if (<=.f64 x -5243749351557199/307828173409331868845930000782371982852185463050511302093346042220669701339821957901673955116288403443801781174272) (/.f64 (neg.f64 y) (-.f64 2 y)) (if (<=.f64 x -584270256634683/11090678776483259438313656736572334813745748301503266300681918322458485231222502492159897624416558312389564843845614287315896631296) (/.f64 x (-.f64 2 x)) (if (<=.f64 x 796813859304151/1267650600228229401496703205376) (/.f64 (neg.f64 y) (-.f64 2 y)) (/.f64 x (-.f64 2 x))))))
(if (<=.f64 y -95164503302535802479542244351475152319107827029702336353312868025103617514335668070533562368) 1 (if (<=.f64 y -11296334899709073119794859081738689628630231513979416929846277187288728338432) -1 (if (<=.f64 y -33491262313392205593575424) 1 (if (<=.f64 y 8359022577945477/10086913586276986678343434265636765134100413253239154346994763111486904773503285916522052161250538404046496765518544896) (/.f64 x (-.f64 2 x)) (if (<=.f64 y 4072358726907575/70368744177664) (*.f64 -1/2 y) (+.f64 1 (/.f64 2 y)))))))
(if (<=.f64 y -95164503302535802479542244351475152319107827029702336353312868025103617514335668070533562368) 1 (if (<=.f64 y -11296334899709073119794859081738689628630231513979416929846277187288728338432) -1 (if (<=.f64 y -33491262313392205593575424) 1 (if (<=.f64 y 8359022577945477/10086913586276986678343434265636765134100413253239154346994763111486904773503285916522052161250538404046496765518544896) (/.f64 x (-.f64 2 x)) (if (<=.f64 y 4072358726907575/70368744177664) (*.f64 y -1/2) (+.f64 1 (/.f64 2 y)))))))
(if (<=.f64 x -4820113211539895714351115576670099018568695808) -1 (if (<=.f64 x -5243749351557199/307828173409331868845930000782371982852185463050511302093346042220669701339821957901673955116288403443801781174272) (+.f64 1 (/.f64 2 y)) (if (<=.f64 x -584270256634683/11090678776483259438313656736572334813745748301503266300681918322458485231222502492159897624416558312389564843845614287315896631296) (.f64 1/2 x) (if (<=.f64 x -3282165328875913/3957286423569672544968040336314355040562101585619389438625008897486355601704509874725062416979888719833562742816258229429621840548908019359480738481630290686665708354379186176) (+.f64 1 (/.f64 2 y)) (if (<=.f64 x 3061157756817891/8911016831293350036408538292383381493932086928219843614412485386522021810954448020519360959604241015192660760885926576778688876408936402340337229140082449586429677098359892480630613656731648) (.f64 -1/2 y) (if (<=.f64 x 5343982849289169/144115188075855872) 1 -1))))))
(if (<=.f64 x -4820113211539895714351115576670099018568695808) -1 (if (<=.f64 x -5243749351557199/307828173409331868845930000782371982852185463050511302093346042220669701339821957901673955116288403443801781174272) (+.f64 1 (/.f64 2 y)) (if (<=.f64 x -584270256634683/11090678776483259438313656736572334813745748301503266300681918322458485231222502492159897624416558312389564843845614287315896631296) (.f64 x 1/2) (if (<=.f64 x -3282165328875913/3957286423569672544968040336314355040562101585619389438625008897486355601704509874725062416979888719833562742816258229429621840548908019359480738481630290686665708354379186176) (+.f64 1 (/.f64 2 y)) (if (<=.f64 x 3061157756817891/8911016831293350036408538292383381493932086928219843614412485386522021810954448020519360959604241015192660760885926576778688876408936402340337229140082449586429677098359892480630613656731648) (.f64 y -1/2) (if (<=.f64 x 5343982849289169/144115188075855872) 1 -1))))))
(if (<=.f64 x -4820113211539895714351115576670099018568695808) -1 (if (<=.f64 x -5243749351557199/307828173409331868845930000782371982852185463050511302093346042220669701339821957901673955116288403443801781174272) 1 (if (<=.f64 x -584270256634683/11090678776483259438313656736572334813745748301503266300681918322458485231222502492159897624416558312389564843845614287315896631296) (.f64 1/2 x) (if (<=.f64 x -3282165328875913/3957286423569672544968040336314355040562101585619389438625008897486355601704509874725062416979888719833562742816258229429621840548908019359480738481630290686665708354379186176) 1 (if (<=.f64 x 3061157756817891/8911016831293350036408538292383381493932086928219843614412485386522021810954448020519360959604241015192660760885926576778688876408936402340337229140082449586429677098359892480630613656731648) (.f64 -1/2 y) (if (<=.f64 x 5343982849289169/144115188075855872) 1 -1))))))
(if (<=.f64 x -4820113211539895714351115576670099018568695808) -1 (if (<=.f64 x -5243749351557199/307828173409331868845930000782371982852185463050511302093346042220669701339821957901673955116288403443801781174272) 1 (if (<=.f64 x -584270256634683/11090678776483259438313656736572334813745748301503266300681918322458485231222502492159897624416558312389564843845614287315896631296) (.f64 x 1/2) (if (<=.f64 x -3282165328875913/3957286423569672544968040336314355040562101585619389438625008897486355601704509874725062416979888719833562742816258229429621840548908019359480738481630290686665708354379186176) 1 (if (<=.f64 x 3061157756817891/8911016831293350036408538292383381493932086928219843614412485386522021810954448020519360959604241015192660760885926576778688876408936402340337229140082449586429677098359892480630613656731648) (.f64 y -1/2) (if (<=.f64 x 5343982849289169/144115188075855872) 1 -1))))))
(if (<=.f64 x -4820113211539895714351115576670099018568695808) -1 (if (<=.f64 x -5243749351557199/307828173409331868845930000782371982852185463050511302093346042220669701339821957901673955116288403443801781174272) 1 (if (<=.f64 x -584270256634683/11090678776483259438313656736572334813745748301503266300681918322458485231222502492159897624416558312389564843845614287315896631296) (*.f64 1/2 x) (if (<=.f64 x 5343982849289169/144115188075855872) 1 -1))))
(if (<=.f64 x -4820113211539895714351115576670099018568695808) -1 (if (<=.f64 x -5243749351557199/307828173409331868845930000782371982852185463050511302093346042220669701339821957901673955116288403443801781174272) 1 (if (<=.f64 x -584270256634683/11090678776483259438313656736572334813745748301503266300681918322458485231222502492159897624416558312389564843845614287315896631296) (*.f64 x 1/2) (if (<=.f64 x 5343982849289169/144115188075855872) 1 -1))))
(if (<=.f64 x -4820113211539895714351115576670099018568695808) -1 (if (<=.f64 x 5343982849289169/144115188075855872) 1 -1))
-1

Compiler

Compiled 256 to 192 computations (25% saved)

soundness316.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Compiler

Compiled 22 to 14 computations (36.4% saved)

end210.0ms (2.9%)

Compiler: Compiled 240 to 175 computations (27.1% saved)