Details

analyze240.0ms (5.4%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
25%	74.9%	0.1%	6
43.7%	56.2%	0.1%	7
56.2%	43.7%	0.1%	8
70.2%	29.7%	0.1%	9
76.5%	23.4%	0.1%	10
84.7%	15.2%	0.1%	11
87.8%	12.1%	0.1%	12

Compiler

Compiled 12 to 8 computations (33.3% saved)

sample1.4s (31.5%)

Results

1.4s

8256×

body

256

valid

preprocess55.0ms (1.2%)

Algorithm

2×	egg-herbie

Rules

968×	`fma-neg_binary64`
788×	`div-sub_binary64`
502×	`times-frac_binary64`
301×	`distribute-rgt-neg-out_binary64`
298×	`distribute-neg-frac_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	26
1	27	26
2	71	26
3	168	26
4	327	26
5	720	26
6	1566	22
7	4076	22
8	7578	22
0	2	2

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 13 to 9 computations (30.8% saved)

simplify45.0ms (1%)

Algorithm

1×	egg-herbie

Rules

546×	`times-frac_binary64`
408×	`fma-def_binary64`
355×	`distribute-neg-frac_binary64`
350×	`neg-sub0_binary64`
339×	`neg-mul-1_binary64`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	16	13
2	41	13
3	87	13
4	178	13
5	356	13
6	652	11
7	1398	11
8	5424	11
9	7110	11

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 19 to 12 computations (36.8% saved)

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.0b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	7.0b	(/.f64 x (fma.f64 1/2 (/.f64 x y) -1/2))
▶	16.0b	(/.f64 (.f64 (.f64 x 2) y) (-.f64 x y))

Compiler

Compiled 21 to 14 computations (33.3% saved)

localize11.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
	15.6b	(/.f64 (.f64 (.f64 x 2) y) (-.f64 x y))
✓	15.6b	(/.f64 (.f64 (.f64 x 2) y) (-.f64 x y))

Compiler

Compiled 25 to 13 computations (48% saved)

series4.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite57.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

525×	`log-prod_binary64`
386×	`prod-diff_binary64`
385×	`exp-prod_binary64`
322×	`pow-prod-down_binary64`
246×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	181	13
2	2667	13

Stop Event

1×	node limit

Counts

1 → 63

Calls

Call 1

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

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

Outputs

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

simplify141.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

821×	`fma-def_binary64`
543×	`associate-/r*_binary64`
508×	`distribute-lft-out_binary64`
486×	`associate-*l/_binary64`
460×	`associate-r_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	34	492
1	105	480
2	329	438
3	1285	402
4	6537	360
5	7467	360

Stop Event

1×	node limit

Counts

87 → 77

Calls

Call 1

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

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

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	7.0b	(/.f64 x (fma.f64 1/2 (/.f64 x y) -1/2))
	0.0b	(fma.f64 1/2 (/.f64 x y) -1/2)
✓	0.0b	(fma.f64 1/2 (/.f64 x y) -1/2)
✓	7.0b	(/.f64 x (fma.f64 1/2 (/.f64 x y) -1/2))

Compiler

Compiled 23 to 12 computations (47.8% saved)

series7.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

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

rewrite51.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

871×	`pow1_binary64`
809×	`add-log-exp_binary64`
809×	`log1p-expm1-u_binary64`
809×	`expm1-log1p-u_binary64`
793×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	171	19
2	2161	19

Stop Event

1×	node limit

Counts

2 → 52

Calls

Call 1

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

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

Outputs

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

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

simplify68.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

821×	`fma-def_binary64`
550×	`associate-/r*_binary64`
510×	`distribute-lft-out_binary64`
491×	`associate-*l/_binary64`
466×	`associate-r_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	39	660
1	116	648
2	343	606
3	1314	570
4	6638	528
5	7575	528

Stop Event

1×	node limit

Counts

100 → 71

Calls

Call 1

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

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

eval43.0ms (1%)

Compiler: Compiled 2131 to 1067 computations (49.9% saved)

prune24.0ms (0.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	141	7	148
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	142	8	150

Error

Counts

150 → 8

Alt Table

Click to see full alt table

Status	Error	Program
▶	6.8b	(.f64 (/.f64 x 1) (/.f64 (.f64 2 y) (-.f64 x y)))
▶	32.1b	(*.f64 -2 x)
	7.0b	(/.f64 x (+.f64 -1/2 (*.f64 1/2 (/.f64 x y))))
▶	38.8b	(/.f64 x (*.f64 x (/.f64 1/2 y)))
▶	31.6b	(*.f64 2 y)
	7.5b	(*.f64 (/.f64 (+.f64 x x) (-.f64 x y)) y)
▶	38.7b	(/.f64 x (*.f64 1/2 (/.f64 x y)))
✓	16.0b	(/.f64 (.f64 (.f64 x 2) y) (-.f64 x y))

Compiler

Compiled 137 to 93 computations (32.1% saved)

localize103.0ms (2.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	6.8b	(.f64 (/.f64 x 1) (/.f64 (.f64 2 y) (-.f64 x y)))
	0.0b	(/.f64 (*.f64 2 y) (-.f64 x y))
✓	0.0b	(/.f64 (*.f64 2 y) (-.f64 x y))
✓	6.8b	(.f64 (/.f64 x 1) (/.f64 (.f64 2 y) (-.f64 x y)))

Compiler

Compiled 33 to 18 computations (45.5% saved)

series5.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite65.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

536×	`log-prod_binary64`
413×	`prod-diff_binary64`
341×	`pow-prod-down_binary64`
259×	`pow2_binary64`
203×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	226	23
2	2960	23

Stop Event

1×	node limit

Counts

2 → 116

Calls

Call 1

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

Outputs

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

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

simplify84.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

909×	`fma-neg_binary64`
694×	`associate-/l/_binary64`
343×	`distribute-lft-out_binary64`
330×	`cancel-sign-sub-inv_binary64`
300×	`fma-def_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	57	999
1	174	969
2	574	849
3	2252	819
4	4368	741
5	5692	732
6	7752	732

Stop Event

1×	node limit

Counts

164 → 144

Calls

Call 1

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

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

localize3.0ms (0.1%)

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

localize3.0ms (0.1%)

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

localize30.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
	14.4b	(/.f64 x (*.f64 1/2 (/.f64 x y)))
	0.0b	(*.f64 1/2 (/.f64 x y))
✓	0.0b	(*.f64 1/2 (/.f64 x y))
✓	14.4b	(/.f64 x (*.f64 1/2 (/.f64 x y)))

Compiler

Compiled 20 to 9 computations (55% saved)

series6.0ms (0.1%)

Counts

2 → 24

Calls

12 calls:

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

rewrite130.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

873×	`pow1_binary64`
814×	`add-log-exp_binary64`
814×	`log1p-expm1-u_binary64`
814×	`expm1-log1p-u_binary64`
798×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	154	17
2	2145	17

Stop Event

1×	node limit

Counts

2 → 62

Calls

Call 1

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

Outputs

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

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

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	96
1	5	96

Stop Event

1×

saturated

Counts

86 → 63

Calls

Call 1

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

Outputs
(*.f64 2 y)
(*.f64 2 y)
(*.f64 2 y)
(*.f64 2 y)
(*.f64 2 y)
(*.f64 2 y)
(*.f64 2 y)
(*.f64 2 y)
(*.f64 2 y)
(*.f64 2 y)
(*.f64 2 y)
(*.f64 2 y)
(*.f64 2 y)
(*.f64 2 y)
(*.f64 2 y)
(*.f64 2 y)
(*.f64 2 y)
(*.f64 2 y)
(*.f64 2 y)
(*.f64 2 y)
(*.f64 2 y)
(*.f64 2 y)
(*.f64 2 y)
(*.f64 2 y)

localize30.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
	14.4b	(/.f64 x (*.f64 x (/.f64 1/2 y)))
	0.2b	(*.f64 x (/.f64 1/2 y))
✓	0.2b	(*.f64 x (/.f64 1/2 y))
✓	14.4b	(/.f64 x (*.f64 x (/.f64 1/2 y)))

Compiler

Compiled 20 to 12 computations (40% saved)

series3.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite63.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

818×	`pow1_binary64`
764×	`add-log-exp_binary64`
764×	`log1p-expm1-u_binary64`
764×	`expm1-log1p-u_binary64`
748×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	156	11
2	2158	11

Stop Event

1×	node limit

Counts

2 → 62

Calls

Call 1

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

Outputs

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

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

simplify15.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative_binary64`
2×	`associate-/l*_binary64`
1×	`associate-*r/_binary64`
1×	`associate-*l/_binary64`
1×	`associate-/r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	264
1	12	264
2	16	264
3	20	264
4	21	264

Stop Event

1×

saturated

Counts

110 → 63

Calls

Call 1

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

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

eval94.0ms (2.1%)

Compiler: Compiled 3448 to 1995 computations (42.1% saved)

prune63.0ms (1.4%)

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	268	2	270
Fresh	1	1	2
Picked	1	0	1
Done	0	5	5
Total	270	8	278

Error

Counts

278 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	6.8b	(.f64 (/.f64 x 1) (/.f64 (.f64 2 y) (-.f64 x y)))
✓	32.1b	(*.f64 -2 x)
✓	31.6b	(*.f64 2 y)
▶	7.5b	(*.f64 (/.f64 (+.f64 x x) (-.f64 x y)) y)
✓	38.7b	(/.f64 x (*.f64 1/2 (/.f64 x y)))
▶	7.0b	(/.f64 (*.f64 2 x) (-.f64 (/.f64 x y) 1))
✓	16.0b	(/.f64 (.f64 (.f64 x 2) y) (-.f64 x y))
▶	53.7b	(-.f64 (+.f64 1 (*.f64 y 2)) 1)

Compiler

Compiled 74 to 52 computations (29.7% saved)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
	1.9b	(-.f64 (+.f64 1 (*.f64 y 2)) 1)
✓	1.9b	(-.f64 (+.f64 1 (*.f64 y 2)) 1)

Compiler

Compiled 20 to 16 computations (20% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite60.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

714×	`pow1_binary64`
672×	`add-log-exp_binary64`
671×	`log1p-expm1-u_binary64`
671×	`expm1-log1p-u_binary64`
662×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	156	4
2	2021	4

Stop Event

1×	node limit

Counts

1 → 43

Calls

Call 1

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

Outputs

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

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	48
1	5	48

Stop Event

1×

saturated

Counts

55 → 43

Calls

Call 1

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

Outputs
(*.f64 2 y)
(*.f64 2 y)
(*.f64 2 y)
(*.f64 2 y)
(*.f64 2 y)
(*.f64 2 y)
(*.f64 2 y)
(*.f64 2 y)
(*.f64 2 y)
(*.f64 2 y)
(*.f64 2 y)
(*.f64 2 y)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	7.0b	(/.f64 (*.f64 2 x) (-.f64 (/.f64 x y) 1))
	0.0b	(-.f64 (/.f64 x y) 1)
✓	0.0b	(-.f64 (/.f64 x y) 1)
✓	7.0b	(/.f64 (*.f64 2 x) (-.f64 (/.f64 x y) 1))

Compiler

Compiled 26 to 14 computations (46.2% saved)

series4.0ms (0.1%)

Counts

2 → 30

Calls

12 calls:

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

rewrite160.0ms (3.6%)

Algorithm

1×	batch-egg-rewrite

Rules

504×	`log-prod_binary64`
387×	`exp-prod_binary64`
287×	`prod-diff_binary64`
266×	`pow-prod-down_binary64`
248×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	20
1	199	20
2	2769	20

Stop Event

1×	node limit

Counts

2 → 122

Calls

Call 1

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

Outputs

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

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

simplify67.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

821×	`fma-def_binary64`
542×	`associate-/r*_binary64`
508×	`distribute-lft-out_binary64`
486×	`associate-*l/_binary64`
458×	`associate-r_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	36	507
1	107	495
2	330	453
3	1286	417
4	6554	375
5	7482	375

Stop Event

1×	node limit

Counts

152 → 138

Calls

Call 1

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

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

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	7.4b	(*.f64 (/.f64 (+.f64 x x) (-.f64 x y)) y)
	0.0b	(/.f64 (+.f64 x x) (-.f64 x y))
✓	0.0b	(/.f64 (+.f64 x x) (-.f64 x y))
✓	7.4b	(*.f64 (/.f64 (+.f64 x x) (-.f64 x y)) y)

Compiler

Compiled 26 to 6 computations (76.9% saved)

series74.0ms (1.7%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
70.0ms	x	@	0	(/.f64 (+.f64 x x) (-.f64 x y))
1.0ms	x	@	inf	(/.f64 (+.f64 x x) (-.f64 x y))
0.0ms	y	@	inf	(/.f64 (+.f64 x x) (-.f64 x y))
0.0ms	y	@	-inf	(/.f64 (+.f64 x x) (-.f64 x y))
0.0ms	x	@	0	(*.f64 (/.f64 (+.f64 x x) (-.f64 x y)) y)

rewrite54.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

972×	`pow1_binary64`
910×	`add-log-exp_binary64`
909×	`log1p-expm1-u_binary64`
909×	`expm1-log1p-u_binary64`
90×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	23
1	165	23
2	2741	23

Stop Event

1×	node limit

Counts

2 → 57

Calls

Call 1

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

Outputs

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

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

simplify116.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

1138×	`associate-/r/_binary64`
696×	`associate-/l/_binary64`
451×	`associate-+l+_binary64`
369×	`distribute-lft-out_binary64`
359×	`fma-def_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	59	1005
1	179	969
2	594	849
3	2319	819
4	4331	747
5	4932	738
6	5532	738
7	6225	738
8	6428	738

Stop Event

1×	node limit

Counts

105 → 85

Calls

Call 1

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

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

eval108.0ms (2.4%)

Compiler: Compiled 3749 to 2198 computations (41.4% saved)

prune38.0ms (0.8%)

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	264	2	266
Fresh	0	0	0
Picked	0	1	1
Done	2	5	7
Total	266	8	274

Error

Counts

274 → 8

Alt Table

Click to see full alt table

Status	Error	Program
▶	7.0b	(/.f64 (+.f64 x x) (/.f64 (-.f64 x y) y))
▶	39.6b	(.f64 (.f64 -2 (/.f64 x y)) y)
✓	31.6b	(*.f64 2 y)
✓	7.5b	(*.f64 (/.f64 (+.f64 x x) (-.f64 x y)) y)
✓	32.1b	(*.f64 -2 x)
✓	38.7b	(/.f64 x (*.f64 1/2 (/.f64 x y)))
✓	16.0b	(/.f64 (.f64 (.f64 x 2) y) (-.f64 x y))
✓	53.7b	(-.f64 (+.f64 1 (*.f64 y 2)) 1)

Compiler

Compiled 70 to 47 computations (32.9% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	14.5b	(.f64 (.f64 -2 (/.f64 x y)) y)
	0.0b	(*.f64 -2 (/.f64 x y))
✓	0.0b	(*.f64 -2 (/.f64 x y))
✓	14.5b	(.f64 (.f64 -2 (/.f64 x y)) y)

Compiler

Compiled 20 to 9 computations (55% saved)

series26.0ms (0.6%)

Counts

2 → 24

Calls

12 calls:

Time	Variable		Point	Expression
22.0ms	x	@	-inf	(.f64 (.f64 -2 (/.f64 x y)) y)
0.0ms	x	@	0	(.f64 (.f64 -2 (/.f64 x y)) y)
0.0ms	x	@	-inf	(*.f64 -2 (/.f64 x y))
0.0ms	y	@	0	(.f64 (.f64 -2 (/.f64 x y)) y)
0.0ms	x	@	inf	(*.f64 -2 (/.f64 x y))

rewrite52.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

783×	`pow1_binary64`
726×	`add-log-exp_binary64`
726×	`log1p-expm1-u_binary64`
726×	`expm1-log1p-u_binary64`
711×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	149	17
2	1933	17

Stop Event

1×	node limit

Counts

2 → 35

Calls

Call 1

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

Outputs

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

simplify9.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	96
1	5	96

Stop Event

1×

saturated

Counts

59 → 36

Calls

Call 1

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

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

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	7.0b	(/.f64 (+.f64 x x) (/.f64 (-.f64 x y) y))
	0.0b	(/.f64 (-.f64 x y) y)
✓	0.0b	(/.f64 (-.f64 x y) y)
✓	7.0b	(/.f64 (+.f64 x x) (/.f64 (-.f64 x y) y))

Compiler

Compiled 24 to 6 computations (75% saved)

series6.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite96.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

682×	`prod-diff_binary64`
483×	`log-prod_binary64`
282×	`pow-prod-down_binary64`
236×	`fma-def_binary64`
228×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	20
1	173	20
2	3110	20

Stop Event

1×	node limit

Counts

2 → 107

Calls

Call 1

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

Outputs

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

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

simplify65.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

821×	`fma-def_binary64`
541×	`associate-/r*_binary64`
508×	`distribute-lft-out_binary64`
486×	`associate-*l/_binary64`
462×	`associate-r_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	38	633
1	112	621
2	334	579
3	1288	543
4	6567	501
5	7501	501

Stop Event

1×	node limit

Counts

155 → 123

Calls

Call 1

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

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

eval85.0ms (1.9%)

Compiler: Compiled 2064 to 850 computations (58.8% saved)

prune23.0ms (0.5%)

Pruning

9 alts after pruning (1 fresh and 8 done)

	Pruned	Kept	Total
New	158	1	159
Fresh	0	0	0
Picked	0	1	1
Done	0	7	7
Total	158	9	167

Error

Counts

167 → 9

Alt Table

Click to see full alt table

Status	Error	Program
✓	7.0b	(/.f64 (+.f64 x x) (/.f64 (-.f64 x y) y))
✓	39.6b	(.f64 (.f64 -2 (/.f64 x y)) y)
✓	31.6b	(*.f64 2 y)
✓	7.5b	(*.f64 (/.f64 (+.f64 x x) (-.f64 x y)) y)
✓	32.1b	(*.f64 -2 x)
✓	38.7b	(/.f64 x (*.f64 1/2 (/.f64 x y)))
✓	16.0b	(/.f64 (.f64 (.f64 x 2) y) (-.f64 x y))
✓	53.7b	(-.f64 (+.f64 1 (*.f64 y 2)) 1)
	40.3b	(*.f64 (/.f64 -2 (/.f64 y x)) y)

Compiler

Compiled 79 to 53 computations (32.9% saved)

regimes92.0ms (2.1%)

Counts

9 → 3

Calls

Call 1

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

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

Calls

3 calls:

46.0ms	(/.f64 (.f64 (.f64 x 2) y) (-.f64 x y))
22.0ms	y
21.0ms	x

Results

Error	Segments	Branch
0.0b	3	`x`
0.1b	3	`y`
0.4b	5	`(/.f64 (.f64 (.f64 x 2) y) (-.f64 x y))`

Compiler

Compiled 80 to 44 computations (45% saved)

bsearch45.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
21.0ms	3.707767885376538e-8	3.851515990361152e-7
24.0ms	-1017573229644233500.0	-343732.3631995036

Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes94.0ms (2.1%)

Counts

8 → 5

Calls

Call 1

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

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

Calls

3 calls:

55.0ms	(/.f64 (.f64 (.f64 x 2) y) (-.f64 x y))
19.0ms	y
17.0ms	x

Results

Error	Segments	Branch
3.3b	3	`x`
2.8b	3	`y`
0.5b	5	`(/.f64 (.f64 (.f64 x 2) y) (-.f64 x y))`

Compiler

Compiled 71 to 42 computations (40.8% saved)

bsearch1.0ms (0%)

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	4.400409553691061e-111	3.186799533028956e-103
0.0ms	0.0	1.26757750497359e-302
0.0ms	-1.480442023858642e-298	-6.581709815236517e-299
0.0ms	-inf	-3.0706112291969643e+116

Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes75.0ms (1.7%)

Counts

7 → 5

Calls

Call 1

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

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

Calls

3 calls:

29.0ms	x
23.0ms	(/.f64 (.f64 (.f64 x 2) y) (-.f64 x y))
21.0ms	y

Results

Error	Segments	Branch
7.5b	5	`x`
10.3b	4	`y`
7.0b	5	`(/.f64 (.f64 (.f64 x 2) y) (-.f64 x y))`

Compiler

Compiled 62 to 39 computations (37.1% saved)

bsearch1.0ms (0%)

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	2.5759255148682997e+110	+inf
0.0ms	0.0	1.26757750497359e-302
0.0ms	-3.991791234351505e-302	0.0
0.0ms	-inf	-3.0706112291969643e+116

Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes45.0ms (1%)

Accuracy

Total -48.2b remaining (-340.6%)

Threshold costs -48.2b (-340.6%)

Counts

6 → 3

Calls

Call 1

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

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

Calls

2 calls:

21.0ms	x
20.0ms	y

Results

Error	Segments	Branch
14.1b	3	`x`
15.2b	3	`y`

Compiler

Compiled 42 to 27 computations (35.7% saved)

bsearch43.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
22.0ms	1.320464962363939e-17	8.575298000149808e-17
22.0ms	-4.054953462260326e-111	-2.2002047768455306e-111

Compiler

Compiled 16 to 11 computations (31.3% saved)

simplify9.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	326
1	56	326
2	60	326
3	62	326
4	63	326

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 x -1017573229644233472) (.f64 (/.f64 (+.f64 x x) (-.f64 x y)) y) (if (<=.f64 x 700377551526505/18889465931478580854784) (/.f64 (+.f64 x x) (/.f64 (-.f64 x y) y)) (.f64 (/.f64 (+.f64 x x) (-.f64 x y)) y)))
(if (<=.f64 (/.f64 (.f64 (.f64 x 2) y) (-.f64 x y)) -inf.0) (.f64 (/.f64 (+.f64 x x) (-.f64 x y)) y) (if (<=.f64 (/.f64 (.f64 (.f64 x 2) y) (-.f64 x y)) -4712544691453469/47125446914534694131579097993419809976955095716785201420286055195012674566357244479460731079205201122720511132925006540350105785156086431086764996857554304860885586653967937772270969055149056096849908977391371752266308172471982589601097478449614615258949356272900190565812730839296826751014759649673012612226351104) (/.f64 (.f64 (.f64 x 2) y) (-.f64 x y)) (if (<=.f64 (/.f64 (.f64 (.f64 x 2) y) (-.f64 x y)) 0) (.f64 (/.f64 (+.f64 x x) (-.f64 x y)) y) (if (<=.f64 (/.f64 (.f64 (.f64 x 2) y) (-.f64 x y)) 3384606560206073/676921312041214565326761275425557544784286395355423968547480366360991530225982818124993751490268451683933401113623918903558144) (/.f64 (.f64 (.f64 x 2) y) (-.f64 x y)) (*.f64 (/.f64 (+.f64 x x) (-.f64 x y)) y)))))
(if (<=.f64 (/.f64 (.f64 (.f64 x 2) y) (-.f64 x y)) -inf.0) (.f64 -2 x) (if (<=.f64 (/.f64 (.f64 (.f64 x 2) y) (-.f64 x y)) -15442066444954728/772103322247736428651791941524190166662432288223808740069966728315087660095197093551484618001698015194652854401843307157096133183997320086925557708514169730840749451738610692460887556999562135090788908685580234789131193097780962748024381086918485856402626253175196722230275782071039209488625822100242638638716536487936) (/.f64 (.f64 (.f64 x 2) y) (-.f64 x y)) (if (<=.f64 (/.f64 (.f64 (.f64 x 2) y) (-.f64 x y)) 0) (.f64 -2 x) (if (<=.f64 (/.f64 (.f64 (.f64 x 2) y) (-.f64 x y)) 499999999999999978409886320820907879202552238629189140897698107811441303810555744076971465473716161022374445056) (/.f64 (.f64 (.f64 x 2) y) (-.f64 x y)) (*.f64 2 y)))))
(if (<=.f64 x -5489768835878651/1353842624082429130653522550851115089568572790710847937094960732721983060451965636249987502980536903367866802227247837807116288) (.f64 2 y) (if (<=.f64 x 8570307594859487/649037107316853453566312041152512) (.f64 -2 x) (*.f64 2 y)))
(*.f64 -2 x)

Outputs
(if (<=.f64 x -1017573229644233472) (.f64 (/.f64 (+.f64 x x) (-.f64 x y)) y) (if (<=.f64 x 700377551526505/18889465931478580854784) (/.f64 (+.f64 x x) (/.f64 (-.f64 x y) y)) (.f64 (/.f64 (+.f64 x x) (-.f64 x y)) y)))
(if (<=.f64 x -1017573229644233472) (.f64 y (/.f64 (+.f64 x x) (-.f64 x y))) (if (<=.f64 x 700377551526505/18889465931478580854784) (/.f64 (+.f64 x x) (/.f64 (-.f64 x y) y)) (.f64 y (/.f64 (+.f64 x x) (-.f64 x y)))))
(if (<=.f64 (/.f64 (.f64 (.f64 x 2) y) (-.f64 x y)) -inf.0) (.f64 (/.f64 (+.f64 x x) (-.f64 x y)) y) (if (<=.f64 (/.f64 (.f64 (.f64 x 2) y) (-.f64 x y)) -4712544691453469/47125446914534694131579097993419809976955095716785201420286055195012674566357244479460731079205201122720511132925006540350105785156086431086764996857554304860885586653967937772270969055149056096849908977391371752266308172471982589601097478449614615258949356272900190565812730839296826751014759649673012612226351104) (/.f64 (.f64 (.f64 x 2) y) (-.f64 x y)) (if (<=.f64 (/.f64 (.f64 (.f64 x 2) y) (-.f64 x y)) 0) (.f64 (/.f64 (+.f64 x x) (-.f64 x y)) y) (if (<=.f64 (/.f64 (.f64 (.f64 x 2) y) (-.f64 x y)) 3384606560206073/676921312041214565326761275425557544784286395355423968547480366360991530225982818124993751490268451683933401113623918903558144) (/.f64 (.f64 (.f64 x 2) y) (-.f64 x y)) (*.f64 (/.f64 (+.f64 x x) (-.f64 x y)) y)))))
(if (<=.f64 (/.f64 (.f64 y (.f64 x 2)) (-.f64 x y)) -inf.0) (.f64 y (/.f64 (+.f64 x x) (-.f64 x y))) (if (<=.f64 (/.f64 (.f64 y (.f64 x 2)) (-.f64 x y)) -4712544691453469/47125446914534694131579097993419809976955095716785201420286055195012674566357244479460731079205201122720511132925006540350105785156086431086764996857554304860885586653967937772270969055149056096849908977391371752266308172471982589601097478449614615258949356272900190565812730839296826751014759649673012612226351104) (/.f64 (.f64 y (.f64 x 2)) (-.f64 x y)) (if (<=.f64 (/.f64 (.f64 y (.f64 x 2)) (-.f64 x y)) 0) (.f64 y (/.f64 (+.f64 x x) (-.f64 x y))) (if (<=.f64 (/.f64 (.f64 y (.f64 x 2)) (-.f64 x y)) 3384606560206073/676921312041214565326761275425557544784286395355423968547480366360991530225982818124993751490268451683933401113623918903558144) (/.f64 (.f64 y (.f64 x 2)) (-.f64 x y)) (*.f64 y (/.f64 (+.f64 x x) (-.f64 x y)))))))
(if (<=.f64 (/.f64 (.f64 (.f64 x 2) y) (-.f64 x y)) -inf.0) (.f64 -2 x) (if (<=.f64 (/.f64 (.f64 (.f64 x 2) y) (-.f64 x y)) -15442066444954728/772103322247736428651791941524190166662432288223808740069966728315087660095197093551484618001698015194652854401843307157096133183997320086925557708514169730840749451738610692460887556999562135090788908685580234789131193097780962748024381086918485856402626253175196722230275782071039209488625822100242638638716536487936) (/.f64 (.f64 (.f64 x 2) y) (-.f64 x y)) (if (<=.f64 (/.f64 (.f64 (.f64 x 2) y) (-.f64 x y)) 0) (.f64 -2 x) (if (<=.f64 (/.f64 (.f64 (.f64 x 2) y) (-.f64 x y)) 499999999999999978409886320820907879202552238629189140897698107811441303810555744076971465473716161022374445056) (/.f64 (.f64 (.f64 x 2) y) (-.f64 x y)) (*.f64 2 y)))))
(if (<=.f64 (/.f64 (.f64 y (.f64 x 2)) (-.f64 x y)) -inf.0) (.f64 x -2) (if (<=.f64 (/.f64 (.f64 y (.f64 x 2)) (-.f64 x y)) -1930258305619341/96512915280967053581473992690523770832804036027976092508745841039385957511899636693935577250212251899331606800230413394637016647999665010865694713564271216355093681467326336557610944624945266886348613585697529348641399137222620343503047635864810732050328281646899590278784472758879901186078227762530329829839567060992) (/.f64 (.f64 y (.f64 x 2)) (-.f64 x y)) (if (<=.f64 (/.f64 (.f64 y (.f64 x 2)) (-.f64 x y)) 0) (.f64 x -2) (if (<=.f64 (/.f64 (.f64 y (.f64 x 2)) (-.f64 x y)) 499999999999999978409886320820907879202552238629189140897698107811441303810555744076971465473716161022374445056) (/.f64 (.f64 y (.f64 x 2)) (-.f64 x y)) (*.f64 y 2)))))
(if (<=.f64 x -5489768835878651/1353842624082429130653522550851115089568572790710847937094960732721983060451965636249987502980536903367866802227247837807116288) (.f64 2 y) (if (<=.f64 x 8570307594859487/649037107316853453566312041152512) (.f64 -2 x) (*.f64 2 y)))
(if (<=.f64 x -5489768835878651/1353842624082429130653522550851115089568572790710847937094960732721983060451965636249987502980536903367866802227247837807116288) (.f64 y 2) (if (<=.f64 x 8570307594859487/649037107316853453566312041152512) (.f64 x -2) (*.f64 y 2)))
(*.f64 -2 x)
(*.f64 x -2)

end81.0ms (1.8%)

Stop Event

1×

fuel

Compiler

Compiled 458 to 225 computations (50.9% saved)

Details

analyze240.0ms (5.4%)

sample1.4s (31.5%)

preprocess55.0ms (1.2%)

simplify45.0ms (1%)

eval1.0ms (0%)

prune1.0ms (0%)

localize11.0ms (0.2%)

series4.0ms (0.1%)

rewrite57.0ms (1.3%)

simplify141.0ms (3.2%)

localize12.0ms (0.3%)

series7.0ms (0.2%)

rewrite51.0ms (1.1%)

simplify68.0ms (1.5%)

eval43.0ms (1%)

prune24.0ms (0.5%)

localize103.0ms (2.3%)

series5.0ms (0.1%)

rewrite65.0ms (1.5%)

simplify84.0ms (1.9%)

localize3.0ms (0.1%)

localize3.0ms (0.1%)

localize30.0ms (0.7%)

series6.0ms (0.1%)

rewrite130.0ms (2.9%)

simplify8.0ms (0.2%)

localize30.0ms (0.7%)

series3.0ms (0.1%)

rewrite63.0ms (1.4%)

simplify15.0ms (0.3%)

eval94.0ms (2.1%)

prune63.0ms (1.4%)

localize9.0ms (0.2%)

series1.0ms (0%)

rewrite60.0ms (1.4%)

simplify8.0ms (0.2%)

localize11.0ms (0.2%)

series4.0ms (0.1%)

rewrite160.0ms (3.6%)

simplify67.0ms (1.5%)

localize9.0ms (0.2%)

series74.0ms (1.7%)

rewrite54.0ms (1.2%)

simplify116.0ms (2.6%)

eval108.0ms (2.4%)

prune38.0ms (0.8%)

localize8.0ms (0.2%)

series26.0ms (0.6%)

rewrite52.0ms (1.2%)

simplify9.0ms (0.2%)

localize9.0ms (0.2%)

series6.0ms (0.1%)

rewrite96.0ms (2.1%)

simplify65.0ms (1.5%)

eval85.0ms (1.9%)

prune23.0ms (0.5%)

regimes92.0ms (2.1%)

bsearch45.0ms (1%)

regimes94.0ms (2.1%)

bsearch1.0ms (0%)

regimes75.0ms (1.7%)

bsearch1.0ms (0%)

regimes45.0ms (1%)

bsearch43.0ms (1%)

simplify9.0ms (0.2%)

end81.0ms (1.8%)

Profiling