Details

analyze99.0ms (1.7%)

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
25%	74.9%	0.1%	5
25%	62.4%	12.6%	6
37.5%	50%	12.6%	7
46.8%	37.5%	15.7%	8
53.1%	30.4%	16.5%	9
58.5%	20.7%	20.8%	10
62%	16.2%	21.8%	11
65%	10.8%	24.2%	12

Compiler

Compiled 12 to 8 computations (33.3% saved)

sample1.7s (29.9%)

Results

1.5s	8256×	body	256	valid
188.0ms	448×	body	256	invalid

preprocess18.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

30×	`fma-def_binary64`
19×	`*-commutative_binary64`
10×	`distribute-rgt-out_binary64`
8×	`associate-r_binary64`
8×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	20
1	38	20
2	77	20
3	130	20
4	134	20
0	2	2

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 13 to 9 computations (30.8% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

17×	`fma-def_binary64`
14×	`*-commutative_binary64`
6×	`distribute-rgt-out_binary64`
5×	`associate-r_binary64`
5×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	20	10
2	43	10
3	76	10
4	80	10

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 18 to 11 computations (38.9% 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
▶	0.0b	(.f64 2 (.f64 x (+.f64 x y)))
▶	0.0b	(.f64 2 (+.f64 (.f64 x x) (*.f64 x y)))

Compiler

Compiled 20 to 13 computations (35% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 20 to 7 computations (65% saved)

series6.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite74.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

839×	`pow1_binary64`
783×	`add-log-exp_binary64`
782×	`log1p-expm1-u_binary64`
782×	`expm1-log1p-u_binary64`
767×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	155	17
2	2132	17

Stop Event

1×	node limit

Counts

2 → 42

Calls

Call 1

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

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

Outputs

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

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

simplify200.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

2020×	`unswap-sqr_binary64`
1080×	`sqr-pow_binary64`
629×	`fabs-mul_binary64`
612×	`pow-sqr_binary64`
610×	`cube-prod_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	408
1	27	372
2	54	372
3	116	372
4	266	372
5	752	372
6	1186	372
7	1674	372
8	1841	372
9	1979	372
10	2149	372
11	2398	372
12	2716	372
13	3090	372
14	3545	372
15	4133	372
16	4841	372
17	5699	372
18	6121	372
19	6435	372
20	6741	372
21	6817	372
22	6851	372

Stop Event

1×	node limit

Counts

90 → 54

Calls

Call 1

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

Outputs
(*.f64 y x)
(+.f64 (*.f64 y x) (pow.f64 x 2))
(fma.f64 y x (*.f64 x x))
(*.f64 x (+.f64 y x))
(+.f64 (*.f64 y x) (pow.f64 x 2))
(fma.f64 y x (*.f64 x x))
(*.f64 x (+.f64 y x))
(+.f64 (*.f64 y x) (pow.f64 x 2))
(fma.f64 y x (*.f64 x x))
(*.f64 x (+.f64 y x))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 y x) (pow.f64 x 2))
(fma.f64 y x (*.f64 x x))
(*.f64 x (+.f64 y x))
(+.f64 (*.f64 y x) (pow.f64 x 2))
(fma.f64 y x (*.f64 x x))
(*.f64 x (+.f64 y x))
(+.f64 (*.f64 y x) (pow.f64 x 2))
(fma.f64 y x (*.f64 x x))
(*.f64 x (+.f64 y x))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 y x) (pow.f64 x 2))
(fma.f64 y x (*.f64 x x))
(*.f64 x (+.f64 y x))
(+.f64 (*.f64 y x) (pow.f64 x 2))
(fma.f64 y x (*.f64 x x))
(*.f64 x (+.f64 y x))
(+.f64 (*.f64 y x) (pow.f64 x 2))
(fma.f64 y x (*.f64 x x))
(*.f64 x (+.f64 y x))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 y x) (pow.f64 x 2))
(fma.f64 y x (*.f64 x x))
(*.f64 x (+.f64 y x))
(+.f64 (*.f64 y x) (pow.f64 x 2))
(fma.f64 y x (*.f64 x x))
(*.f64 x (+.f64 y x))
(+.f64 (*.f64 y x) (pow.f64 x 2))
(fma.f64 y x (*.f64 x x))
(*.f64 x (+.f64 y x))
(*.f64 y x)
(+.f64 (*.f64 y x) (pow.f64 x 2))
(fma.f64 y x (*.f64 x x))
(*.f64 x (+.f64 y x))
(+.f64 (*.f64 y x) (pow.f64 x 2))
(fma.f64 y x (*.f64 x x))
(*.f64 x (+.f64 y x))
(+.f64 (*.f64 y x) (pow.f64 x 2))
(fma.f64 y x (*.f64 x x))
(*.f64 x (+.f64 y x))
(*.f64 y x)
(+.f64 (*.f64 y x) (pow.f64 x 2))
(fma.f64 y x (*.f64 x x))
(*.f64 x (+.f64 y x))
(+.f64 (*.f64 y x) (pow.f64 x 2))
(fma.f64 y x (*.f64 x x))
(*.f64 x (+.f64 y x))
(+.f64 (*.f64 y x) (pow.f64 x 2))
(fma.f64 y x (*.f64 x x))
(*.f64 x (+.f64 y x))
(.f64 2 (.f64 y x))
(.f64 (.f64 y x) 2)
(.f64 y (.f64 x 2))
(.f64 x (.f64 y 2))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 2 (*.f64 y x)))
(.f64 2 (fma.f64 y x (.f64 x x)))
(.f64 2 (.f64 x (+.f64 y x)))
(.f64 (.f64 x 2) (+.f64 y x))
(.f64 x (.f64 2 (+.f64 y x)))
(.f64 (+.f64 y x) (.f64 x 2))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 2 (*.f64 y x)))
(.f64 2 (fma.f64 y x (.f64 x x)))
(.f64 2 (.f64 x (+.f64 y x)))
(.f64 (.f64 x 2) (+.f64 y x))
(.f64 x (.f64 2 (+.f64 y x)))
(.f64 (+.f64 y x) (.f64 x 2))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 2 (*.f64 y x)))
(.f64 2 (fma.f64 y x (.f64 x x)))
(.f64 2 (.f64 x (+.f64 y x)))
(.f64 (.f64 x 2) (+.f64 y x))
(.f64 x (.f64 2 (+.f64 y x)))
(.f64 (+.f64 y x) (.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(.f64 2 (.f64 x x))
(.f64 (.f64 2 x) x)
(.f64 x (.f64 x 2))
(+.f64 (.f64 2 (.f64 y x)) (*.f64 2 (pow.f64 x 2)))
(.f64 2 (fma.f64 y x (.f64 x x)))
(.f64 2 (.f64 x (+.f64 y x)))
(.f64 (.f64 x 2) (+.f64 y x))
(.f64 x (.f64 2 (+.f64 y x)))
(.f64 (+.f64 y x) (.f64 x 2))
(+.f64 (.f64 2 (.f64 y x)) (*.f64 2 (pow.f64 x 2)))
(.f64 2 (fma.f64 y x (.f64 x x)))
(.f64 2 (.f64 x (+.f64 y x)))
(.f64 (.f64 x 2) (+.f64 y x))
(.f64 x (.f64 2 (+.f64 y x)))
(.f64 (+.f64 y x) (.f64 x 2))
(+.f64 (.f64 2 (.f64 y x)) (*.f64 2 (pow.f64 x 2)))
(.f64 2 (fma.f64 y x (.f64 x x)))
(.f64 2 (.f64 x (+.f64 y x)))
(.f64 (.f64 x 2) (+.f64 y x))
(.f64 x (.f64 2 (+.f64 y x)))
(.f64 (+.f64 y x) (.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(.f64 2 (.f64 x x))
(.f64 (.f64 2 x) x)
(.f64 x (.f64 x 2))
(+.f64 (.f64 2 (.f64 y x)) (*.f64 2 (pow.f64 x 2)))
(.f64 2 (fma.f64 y x (.f64 x x)))
(.f64 2 (.f64 x (+.f64 y x)))
(.f64 (.f64 x 2) (+.f64 y x))
(.f64 x (.f64 2 (+.f64 y x)))
(.f64 (+.f64 y x) (.f64 x 2))
(+.f64 (.f64 2 (.f64 y x)) (*.f64 2 (pow.f64 x 2)))
(.f64 2 (fma.f64 y x (.f64 x x)))
(.f64 2 (.f64 x (+.f64 y x)))
(.f64 (.f64 x 2) (+.f64 y x))
(.f64 x (.f64 2 (+.f64 y x)))
(.f64 (+.f64 y x) (.f64 x 2))
(+.f64 (.f64 2 (.f64 y x)) (*.f64 2 (pow.f64 x 2)))
(.f64 2 (fma.f64 y x (.f64 x x)))
(.f64 2 (.f64 x (+.f64 y x)))
(.f64 (.f64 x 2) (+.f64 y x))
(.f64 x (.f64 2 (+.f64 y x)))
(.f64 (+.f64 y x) (.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(.f64 2 (.f64 x x))
(.f64 (.f64 2 x) x)
(.f64 x (.f64 x 2))
(+.f64 (.f64 2 (.f64 y x)) (*.f64 2 (pow.f64 x 2)))
(.f64 2 (fma.f64 y x (.f64 x x)))
(.f64 2 (.f64 x (+.f64 y x)))
(.f64 (.f64 x 2) (+.f64 y x))
(.f64 x (.f64 2 (+.f64 y x)))
(.f64 (+.f64 y x) (.f64 x 2))
(+.f64 (.f64 2 (.f64 y x)) (*.f64 2 (pow.f64 x 2)))
(.f64 2 (fma.f64 y x (.f64 x x)))
(.f64 2 (.f64 x (+.f64 y x)))
(.f64 (.f64 x 2) (+.f64 y x))
(.f64 x (.f64 2 (+.f64 y x)))
(.f64 (+.f64 y x) (.f64 x 2))
(+.f64 (.f64 2 (.f64 y x)) (*.f64 2 (pow.f64 x 2)))
(.f64 2 (fma.f64 y x (.f64 x x)))
(.f64 2 (.f64 x (+.f64 y x)))
(.f64 (.f64 x 2) (+.f64 y x))
(.f64 x (.f64 2 (+.f64 y x)))
(.f64 (+.f64 y x) (.f64 x 2))
(.f64 2 (.f64 y x))
(.f64 (.f64 y x) 2)
(.f64 y (.f64 x 2))
(.f64 x (.f64 y 2))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 2 (*.f64 y x)))
(.f64 2 (fma.f64 y x (.f64 x x)))
(.f64 2 (.f64 x (+.f64 y x)))
(.f64 (.f64 x 2) (+.f64 y x))
(.f64 x (.f64 2 (+.f64 y x)))
(.f64 (+.f64 y x) (.f64 x 2))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 2 (*.f64 y x)))
(.f64 2 (fma.f64 y x (.f64 x x)))
(.f64 2 (.f64 x (+.f64 y x)))
(.f64 (.f64 x 2) (+.f64 y x))
(.f64 x (.f64 2 (+.f64 y x)))
(.f64 (+.f64 y x) (.f64 x 2))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 2 (*.f64 y x)))
(.f64 2 (fma.f64 y x (.f64 x x)))
(.f64 2 (.f64 x (+.f64 y x)))
(.f64 (.f64 x 2) (+.f64 y x))
(.f64 x (.f64 2 (+.f64 y x)))
(.f64 (+.f64 y x) (.f64 x 2))
(.f64 2 (.f64 y x))
(.f64 (.f64 y x) 2)
(.f64 y (.f64 x 2))
(.f64 x (.f64 y 2))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 2 (*.f64 y x)))
(.f64 2 (fma.f64 y x (.f64 x x)))
(.f64 2 (.f64 x (+.f64 y x)))
(.f64 (.f64 x 2) (+.f64 y x))
(.f64 x (.f64 2 (+.f64 y x)))
(.f64 (+.f64 y x) (.f64 x 2))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 2 (*.f64 y x)))
(.f64 2 (fma.f64 y x (.f64 x x)))
(.f64 2 (.f64 x (+.f64 y x)))
(.f64 (.f64 x 2) (+.f64 y x))
(.f64 x (.f64 2 (+.f64 y x)))
(.f64 (+.f64 y x) (.f64 x 2))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 2 (*.f64 y x)))
(.f64 2 (fma.f64 y x (.f64 x x)))
(.f64 2 (.f64 x (+.f64 y x)))
(.f64 (.f64 x 2) (+.f64 y x))
(.f64 x (.f64 2 (+.f64 y x)))
(.f64 (+.f64 y x) (.f64 x 2))

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 27 to 8 computations (70.4% saved)

series5.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite209.0ms (3.6%)

Algorithm

1×	batch-egg-rewrite

Rules

928×	`pow1_binary64`
865×	`add-log-exp_binary64`
864×	`log1p-expm1-u_binary64`
864×	`expm1-log1p-u_binary64`
847×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	178	17
2	2445	17

Stop Event

1×	node limit

Counts

2 → 61

Calls

Call 1

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

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

Outputs

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

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

simplify199.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

2020×	`unswap-sqr_binary64`
1080×	`sqr-pow_binary64`
629×	`fabs-mul_binary64`
612×	`pow-sqr_binary64`
610×	`cube-prod_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	408
1	27	372
2	54	372
3	116	372
4	266	372
5	752	372
6	1186	372
7	1674	372
8	1841	372
9	1979	372
10	2149	372
11	2398	372
12	2716	372
13	3090	372
14	3545	372
15	4133	372
16	4841	372
17	5699	372
18	6121	372
19	6435	372
20	6741	372
21	6817	372
22	6851	372

Stop Event

1×	node limit

Counts

109 → 73

Calls

Call 1

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

Outputs
(*.f64 y x)
(+.f64 (*.f64 y x) (pow.f64 x 2))
(fma.f64 y x (*.f64 x x))
(*.f64 x (+.f64 y x))
(+.f64 (*.f64 y x) (pow.f64 x 2))
(fma.f64 y x (*.f64 x x))
(*.f64 x (+.f64 y x))
(+.f64 (*.f64 y x) (pow.f64 x 2))
(fma.f64 y x (*.f64 x x))
(*.f64 x (+.f64 y x))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 y x) (pow.f64 x 2))
(fma.f64 y x (*.f64 x x))
(*.f64 x (+.f64 y x))
(+.f64 (*.f64 y x) (pow.f64 x 2))
(fma.f64 y x (*.f64 x x))
(*.f64 x (+.f64 y x))
(+.f64 (*.f64 y x) (pow.f64 x 2))
(fma.f64 y x (*.f64 x x))
(*.f64 x (+.f64 y x))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 y x) (pow.f64 x 2))
(fma.f64 y x (*.f64 x x))
(*.f64 x (+.f64 y x))
(+.f64 (*.f64 y x) (pow.f64 x 2))
(fma.f64 y x (*.f64 x x))
(*.f64 x (+.f64 y x))
(+.f64 (*.f64 y x) (pow.f64 x 2))
(fma.f64 y x (*.f64 x x))
(*.f64 x (+.f64 y x))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 y x) (pow.f64 x 2))
(fma.f64 y x (*.f64 x x))
(*.f64 x (+.f64 y x))
(+.f64 (*.f64 y x) (pow.f64 x 2))
(fma.f64 y x (*.f64 x x))
(*.f64 x (+.f64 y x))
(+.f64 (*.f64 y x) (pow.f64 x 2))
(fma.f64 y x (*.f64 x x))
(*.f64 x (+.f64 y x))
(*.f64 y x)
(+.f64 (*.f64 y x) (pow.f64 x 2))
(fma.f64 y x (*.f64 x x))
(*.f64 x (+.f64 y x))
(+.f64 (*.f64 y x) (pow.f64 x 2))
(fma.f64 y x (*.f64 x x))
(*.f64 x (+.f64 y x))
(+.f64 (*.f64 y x) (pow.f64 x 2))
(fma.f64 y x (*.f64 x x))
(*.f64 x (+.f64 y x))
(*.f64 y x)
(+.f64 (*.f64 y x) (pow.f64 x 2))
(fma.f64 y x (*.f64 x x))
(*.f64 x (+.f64 y x))
(+.f64 (*.f64 y x) (pow.f64 x 2))
(fma.f64 y x (*.f64 x x))
(*.f64 x (+.f64 y x))
(+.f64 (*.f64 y x) (pow.f64 x 2))
(fma.f64 y x (*.f64 x x))
(*.f64 x (+.f64 y x))
(.f64 2 (.f64 y x))
(.f64 (.f64 y x) 2)
(.f64 y (.f64 x 2))
(.f64 x (.f64 y 2))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 2 (*.f64 y x)))
(.f64 2 (fma.f64 y x (.f64 x x)))
(.f64 2 (.f64 x (+.f64 y x)))
(.f64 (.f64 x 2) (+.f64 y x))
(.f64 x (.f64 2 (+.f64 y x)))
(.f64 (+.f64 y x) (.f64 x 2))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 2 (*.f64 y x)))
(.f64 2 (fma.f64 y x (.f64 x x)))
(.f64 2 (.f64 x (+.f64 y x)))
(.f64 (.f64 x 2) (+.f64 y x))
(.f64 x (.f64 2 (+.f64 y x)))
(.f64 (+.f64 y x) (.f64 x 2))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 2 (*.f64 y x)))
(.f64 2 (fma.f64 y x (.f64 x x)))
(.f64 2 (.f64 x (+.f64 y x)))
(.f64 (.f64 x 2) (+.f64 y x))
(.f64 x (.f64 2 (+.f64 y x)))
(.f64 (+.f64 y x) (.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(.f64 2 (.f64 x x))
(.f64 (.f64 2 x) x)
(.f64 x (.f64 x 2))
(+.f64 (.f64 2 (.f64 y x)) (*.f64 2 (pow.f64 x 2)))
(.f64 2 (fma.f64 y x (.f64 x x)))
(.f64 2 (.f64 x (+.f64 y x)))
(.f64 (.f64 x 2) (+.f64 y x))
(.f64 x (.f64 2 (+.f64 y x)))
(.f64 (+.f64 y x) (.f64 x 2))
(+.f64 (.f64 2 (.f64 y x)) (*.f64 2 (pow.f64 x 2)))
(.f64 2 (fma.f64 y x (.f64 x x)))
(.f64 2 (.f64 x (+.f64 y x)))
(.f64 (.f64 x 2) (+.f64 y x))
(.f64 x (.f64 2 (+.f64 y x)))
(.f64 (+.f64 y x) (.f64 x 2))
(+.f64 (.f64 2 (.f64 y x)) (*.f64 2 (pow.f64 x 2)))
(.f64 2 (fma.f64 y x (.f64 x x)))
(.f64 2 (.f64 x (+.f64 y x)))
(.f64 (.f64 x 2) (+.f64 y x))
(.f64 x (.f64 2 (+.f64 y x)))
(.f64 (+.f64 y x) (.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(.f64 2 (.f64 x x))
(.f64 (.f64 2 x) x)
(.f64 x (.f64 x 2))
(+.f64 (.f64 2 (.f64 y x)) (*.f64 2 (pow.f64 x 2)))
(.f64 2 (fma.f64 y x (.f64 x x)))
(.f64 2 (.f64 x (+.f64 y x)))
(.f64 (.f64 x 2) (+.f64 y x))
(.f64 x (.f64 2 (+.f64 y x)))
(.f64 (+.f64 y x) (.f64 x 2))
(+.f64 (.f64 2 (.f64 y x)) (*.f64 2 (pow.f64 x 2)))
(.f64 2 (fma.f64 y x (.f64 x x)))
(.f64 2 (.f64 x (+.f64 y x)))
(.f64 (.f64 x 2) (+.f64 y x))
(.f64 x (.f64 2 (+.f64 y x)))
(.f64 (+.f64 y x) (.f64 x 2))
(+.f64 (.f64 2 (.f64 y x)) (*.f64 2 (pow.f64 x 2)))
(.f64 2 (fma.f64 y x (.f64 x x)))
(.f64 2 (.f64 x (+.f64 y x)))
(.f64 (.f64 x 2) (+.f64 y x))
(.f64 x (.f64 2 (+.f64 y x)))
(.f64 (+.f64 y x) (.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(.f64 2 (.f64 x x))
(.f64 (.f64 2 x) x)
(.f64 x (.f64 x 2))
(+.f64 (.f64 2 (.f64 y x)) (*.f64 2 (pow.f64 x 2)))
(.f64 2 (fma.f64 y x (.f64 x x)))
(.f64 2 (.f64 x (+.f64 y x)))
(.f64 (.f64 x 2) (+.f64 y x))
(.f64 x (.f64 2 (+.f64 y x)))
(.f64 (+.f64 y x) (.f64 x 2))
(+.f64 (.f64 2 (.f64 y x)) (*.f64 2 (pow.f64 x 2)))
(.f64 2 (fma.f64 y x (.f64 x x)))
(.f64 2 (.f64 x (+.f64 y x)))
(.f64 (.f64 x 2) (+.f64 y x))
(.f64 x (.f64 2 (+.f64 y x)))
(.f64 (+.f64 y x) (.f64 x 2))
(+.f64 (.f64 2 (.f64 y x)) (*.f64 2 (pow.f64 x 2)))
(.f64 2 (fma.f64 y x (.f64 x x)))
(.f64 2 (.f64 x (+.f64 y x)))
(.f64 (.f64 x 2) (+.f64 y x))
(.f64 x (.f64 2 (+.f64 y x)))
(.f64 (+.f64 y x) (.f64 x 2))
(.f64 2 (.f64 y x))
(.f64 (.f64 y x) 2)
(.f64 y (.f64 x 2))
(.f64 x (.f64 y 2))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 2 (*.f64 y x)))
(.f64 2 (fma.f64 y x (.f64 x x)))
(.f64 2 (.f64 x (+.f64 y x)))
(.f64 (.f64 x 2) (+.f64 y x))
(.f64 x (.f64 2 (+.f64 y x)))
(.f64 (+.f64 y x) (.f64 x 2))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 2 (*.f64 y x)))
(.f64 2 (fma.f64 y x (.f64 x x)))
(.f64 2 (.f64 x (+.f64 y x)))
(.f64 (.f64 x 2) (+.f64 y x))
(.f64 x (.f64 2 (+.f64 y x)))
(.f64 (+.f64 y x) (.f64 x 2))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 2 (*.f64 y x)))
(.f64 2 (fma.f64 y x (.f64 x x)))
(.f64 2 (.f64 x (+.f64 y x)))
(.f64 (.f64 x 2) (+.f64 y x))
(.f64 x (.f64 2 (+.f64 y x)))
(.f64 (+.f64 y x) (.f64 x 2))
(.f64 2 (.f64 y x))
(.f64 (.f64 y x) 2)
(.f64 y (.f64 x 2))
(.f64 x (.f64 y 2))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 2 (*.f64 y x)))
(.f64 2 (fma.f64 y x (.f64 x x)))
(.f64 2 (.f64 x (+.f64 y x)))
(.f64 (.f64 x 2) (+.f64 y x))
(.f64 x (.f64 2 (+.f64 y x)))
(.f64 (+.f64 y x) (.f64 x 2))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 2 (*.f64 y x)))
(.f64 2 (fma.f64 y x (.f64 x x)))
(.f64 2 (.f64 x (+.f64 y x)))
(.f64 (.f64 x 2) (+.f64 y x))
(.f64 x (.f64 2 (+.f64 y x)))
(.f64 (+.f64 y x) (.f64 x 2))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 2 (*.f64 y x)))
(.f64 2 (fma.f64 y x (.f64 x x)))
(.f64 2 (.f64 x (+.f64 y x)))
(.f64 (.f64 x 2) (+.f64 y x))
(.f64 x (.f64 2 (+.f64 y x)))
(.f64 (+.f64 y x) (.f64 x 2))

eval31.0ms (0.5%)

Compiler: Compiled 1567 to 787 computations (49.8% saved)

prune20.0ms (0.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	123	4	127
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	123	6	129

Error

Counts

129 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(.f64 2 (fma.f64 y x (.f64 x x)))
✓	0.0b	(.f64 2 (.f64 x (+.f64 x y)))
✓	0.0b	(.f64 2 (+.f64 (.f64 x x) (*.f64 x y)))
▶	31.9b	(.f64 2 (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x y) (.f64 x y))) (-.f64 (.f64 x x) (*.f64 x y))))
▶	21.1b	(.f64 x (.f64 y 2))
▶	33.5b	(.f64 x (.f64 x 2))

Compiler

Compiled 71 to 40 computations (43.7% saved)

localize50.0ms (0.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 x x) (*.f64 x x))
✓	0.2b	(.f64 (.f64 x y) (*.f64 x y))
✓	2.5b	(-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x y) (.f64 x y)))
✓	31.1b	(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x y) (.f64 x y))) (-.f64 (.f64 x x) (.f64 x y)))

Compiler

Compiled 95 to 12 computations (87.4% saved)

series51.0ms (0.9%)

Counts

4 → 84

Calls

21 calls:

Time	Variable		Point	Expression
39.0ms	y	@	0	(-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x y) (.f64 x y)))
2.0ms	x	@	0	(-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x y) (.f64 x y)))
1.0ms	x	@	0	(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x y) (.f64 x y))) (-.f64 (.f64 x x) (.f64 x y)))
1.0ms	y	@	0	(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x y) (.f64 x y))) (-.f64 (.f64 x x) (.f64 x y)))
1.0ms	x	@	inf	(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x y) (.f64 x y))) (-.f64 (.f64 x x) (.f64 x y)))

rewrite112.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

792×	`log-prod_binary64`
454×	`fma-neg_binary64`
223×	`pow1/3_binary64`
215×	`expm1-udef_binary64`
215×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	55
1	255	31
2	4332	31

Stop Event

1×	node limit

Counts

4 → 229

Calls

Call 1

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

Outputs
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2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (exp.f64 (neg.f64 (pow.f64 (.f64 x y) 2))) (exp.f64 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (/.f64 1 (exp.f64 (pow.f64 (.f64 x y) 2))) (exp.f64 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (exp.f64 (neg.f64 (pow.f64 (.f64 x y) 2))) (+.f64 1 (expm1.f64 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (/.f64 1 (exp.f64 (pow.f64 (.f64 x y) 2))) (+.f64 1 (expm1.f64 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (exp.f64 (+.f64 (neg.f64 (pow.f64 (.f64 x y) 2)) (pow.f64 (.f64 x y) 2))) (exp.f64 (-.f64 (pow.f64 x 4) (pow.f64 (.f64 x y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (exp.f64 (+.f64 (neg.f64 (pow.f64 (.f64 x y) 2)) (pow.f64 (.f64 x y) 2))) (+.f64 1 (expm1.f64 (-.f64 (pow.f64 x 4) (pow.f64 (.f64 x y) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (pow.f64 x 4) (pow.f64 (.f64 x y) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (pow.f64 x 4) (pow.f64 (.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (pow.f64 x 4) (pow.f64 (.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (pow.f64 x 4) (pow.f64 (.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (-.f64 (pow.f64 x 4) (pow.f64 (.f64 x y) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (pow.f64 x 3) (neg.f64 (pow.f64 (.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (pow.f64 x 3) (neg.f64 (-.f64 (pow.f64 (.f64 x y) 2) (+.f64 (neg.f64 (pow.f64 (.f64 x y) 2)) (pow.f64 (.f64 x y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x x) (.f64 x x) (neg.f64 (pow.f64 (.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x x) (.f64 x x) (neg.f64 (-.f64 (pow.f64 (.f64 x y) 2) (+.f64 (neg.f64 (pow.f64 (.f64 x y) 2)) (pow.f64 (.f64 x y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 4) 1 (neg.f64 (pow.f64 (.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 4) 1 (neg.f64 (-.f64 (pow.f64 (.f64 x y) 2) (+.f64 (neg.f64 (pow.f64 (.f64 x y) 2)) (pow.f64 (.f64 x y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 x 4) (neg.f64 (pow.f64 (.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 x 4) (neg.f64 (-.f64 (pow.f64 (.f64 x y) 2) (+.f64 (neg.f64 (pow.f64 (.f64 x y) 2)) (pow.f64 (.f64 x y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 (pow.f64 x 4) (pow.f64 (.f64 x y) 2)) (+.f64 (neg.f64 (pow.f64 (.f64 x y) 2)) (pow.f64 (.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 3) x (neg.f64 (pow.f64 (.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 3) x (neg.f64 (-.f64 (pow.f64 (.f64 x y) 2) (+.f64 (neg.f64 (pow.f64 (.f64 x y) 2)) (pow.f64 (.f64 x y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x 4) (pow.f64 (.f64 x y) 2))) 2) (cbrt.f64 (-.f64 (pow.f64 x 4) (pow.f64 (.f64 x y) 2))) (+.f64 (neg.f64 (pow.f64 (.f64 x y) 2)) (pow.f64 (.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 x x)) (.f64 (cbrt.f64 x) (pow.f64 x 3)) (neg.f64 (pow.f64 (.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 x x)) (.f64 (cbrt.f64 x) (pow.f64 x 3)) (neg.f64 (-.f64 (pow.f64 (.f64 x y) 2) (+.f64 (neg.f64 (pow.f64 (.f64 x y) 2)) (pow.f64 (.f64 x y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 (pow.f64 x 4)) 2) (neg.f64 (pow.f64 (.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 (pow.f64 x 4)) 2) (neg.f64 (-.f64 (pow.f64 (.f64 x y) 2) (+.f64 (neg.f64 (pow.f64 (.f64 x y) 2)) (pow.f64 (.f64 x y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x 4)) (.f64 (cbrt.f64 (.f64 x x)) (.f64 x x)) (neg.f64 (pow.f64 (.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x 4)) (.f64 (cbrt.f64 (.f64 x x)) (.f64 x x)) (neg.f64 (-.f64 (pow.f64 (.f64 x y) 2) (+.f64 (neg.f64 (pow.f64 (.f64 x y) 2)) (pow.f64 (.f64 x y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (pow.f64 x 4)) 2) (cbrt.f64 (pow.f64 x 4)) (neg.f64 (pow.f64 (.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (pow.f64 x 4)) 2) (cbrt.f64 (pow.f64 x 4)) (neg.f64 (-.f64 (pow.f64 (.f64 x y) 2) (+.f64 (neg.f64 (pow.f64 (.f64 x y) 2)) (pow.f64 (.f64 x y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 (pow.f64 x 4) (pow.f64 (.f64 x y) 2))) (sqrt.f64 (-.f64 (pow.f64 x 4) (pow.f64 (.f64 x y) 2))) (+.f64 (neg.f64 (pow.f64 (.f64 x y) 2)) (pow.f64 (.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (pow.f64 x 3)) (neg.f64 (pow.f64 (.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (pow.f64 x 3)) (neg.f64 (-.f64 (pow.f64 (.f64 x y) 2) (+.f64 (neg.f64 (pow.f64 (.f64 x y) 2)) (pow.f64 (.f64 x y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x (+.f64 x y)) (.f64 x (-.f64 x y)) (+.f64 (neg.f64 (pow.f64 (.f64 x y) 2)) (pow.f64 (.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 x x) (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (.f64 x x)) (neg.f64 (pow.f64 (.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 x x) (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (.f64 x x)) (neg.f64 (-.f64 (pow.f64 (.f64 x y) 2) (+.f64 (neg.f64 (pow.f64 (.f64 x y) 2)) (pow.f64 (.f64 x y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (pow.f64 x 3) 1) x (neg.f64 (pow.f64 (.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (pow.f64 x 3) 1) x (neg.f64 (-.f64 (pow.f64 (.f64 x y) 2) (+.f64 (neg.f64 (pow.f64 (.f64 x y) 2)) (pow.f64 (.f64 x y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (pow.f64 x 3) (cbrt.f64 (.f64 x x))) (cbrt.f64 x) (neg.f64 (pow.f64 (.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (pow.f64 x 3) (cbrt.f64 (.f64 x x))) (cbrt.f64 x) (neg.f64 (-.f64 (pow.f64 (.f64 x y) 2) (+.f64 (neg.f64 (pow.f64 (.f64 x y) 2)) (pow.f64 (.f64 x y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (pow.f64 x 3) (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 (pow.f64 (.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (pow.f64 x 3) (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 (-.f64 (pow.f64 (.f64 x y) 2) (+.f64 (neg.f64 (pow.f64 (.f64 x y) 2)) (pow.f64 (.f64 x y) 2)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (pow.f64 (.f64 x y) 2))) (cbrt.f64 (exp.f64 (pow.f64 (.f64 x y) 2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (.f64 x y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (.f64 x y) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (.f64 x y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (.f64 x y) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x y) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x y) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (.f64 x y)) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x y) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 x y) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 x y) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 (*.f64 x y) 2)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (pow.f64 x 4))) (cbrt.f64 (exp.f64 (pow.f64 x 4))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x 4)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 x 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 x 4)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 x 4) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 x x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 x 4) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 x 4)) 1))))))

simplify109.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

735×	`distribute-rgt-neg-in_binary64`
694×	`fma-def_binary64`
681×	`distribute-lft-neg-in_binary64`
344×	`cancel-sign-sub-inv_binary64`
342×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	810
1	34	774
2	88	774
3	292	774
4	1290	774
5	3313	774
6	5864	774

Stop Event

1×	node limit

Counts

313 → 240

Calls

Call 1

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

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

localize39.0ms (0.7%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 y x (*.f64 x x))
✓	0.0b	(.f64 2 (fma.f64 y x (.f64 x x)))

Compiler

Compiled 22 to 7 computations (68.2% saved)

series4.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite57.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

620×	`pow1_binary64`
569×	`add-log-exp_binary64`
569×	`log1p-expm1-u_binary64`
569×	`expm1-log1p-u_binary64`
555×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	19
1	139	17
2	1583	17

Stop Event

1×	node limit

Counts

2 → 35

Calls

Call 1

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

Outputs

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

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

simplify199.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

2020×	`unswap-sqr_binary64`
1080×	`sqr-pow_binary64`
634×	`fabs-mul_binary64`
612×	`pow-sqr_binary64`
610×	`cube-prod_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	408
1	27	372
2	54	372
3	116	372
4	266	372
5	752	372
6	1197	372
7	1685	372
8	1852	372
9	1990	372
10	2160	372
11	2409	372
12	2727	372
13	3101	372
14	3558	372
15	4152	372
16	4858	372
17	5714	372
18	6138	372
19	6454	372
20	6758	372
21	6838	372
22	6872	372

Stop Event

1×	node limit

Counts

83 → 48

Calls

Call 1

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

Outputs
(*.f64 2 (pow.f64 x 2))
(.f64 2 (.f64 x x))
(+.f64 (.f64 2 (.f64 y x)) (*.f64 2 (pow.f64 x 2)))
(.f64 2 (fma.f64 y x (.f64 x x)))
(.f64 2 (.f64 x (+.f64 x y)))
(.f64 x (.f64 2 (+.f64 x y)))
(+.f64 (.f64 2 (.f64 y x)) (*.f64 2 (pow.f64 x 2)))
(.f64 2 (fma.f64 y x (.f64 x x)))
(.f64 2 (.f64 x (+.f64 x y)))
(.f64 x (.f64 2 (+.f64 x y)))
(+.f64 (.f64 2 (.f64 y x)) (*.f64 2 (pow.f64 x 2)))
(.f64 2 (fma.f64 y x (.f64 x x)))
(.f64 2 (.f64 x (+.f64 x y)))
(.f64 x (.f64 2 (+.f64 x y)))
(.f64 2 (.f64 y x))
(.f64 2 (.f64 x y))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 2 (*.f64 y x)))
(.f64 2 (fma.f64 y x (.f64 x x)))
(.f64 2 (.f64 x (+.f64 x y)))
(.f64 x (.f64 2 (+.f64 x y)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 2 (*.f64 y x)))
(.f64 2 (fma.f64 y x (.f64 x x)))
(.f64 2 (.f64 x (+.f64 x y)))
(.f64 x (.f64 2 (+.f64 x y)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 2 (*.f64 y x)))
(.f64 2 (fma.f64 y x (.f64 x x)))
(.f64 2 (.f64 x (+.f64 x y)))
(.f64 x (.f64 2 (+.f64 x y)))
(.f64 2 (.f64 y x))
(.f64 2 (.f64 x y))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 2 (*.f64 y x)))
(.f64 2 (fma.f64 y x (.f64 x x)))
(.f64 2 (.f64 x (+.f64 x y)))
(.f64 x (.f64 2 (+.f64 x y)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 2 (*.f64 y x)))
(.f64 2 (fma.f64 y x (.f64 x x)))
(.f64 2 (.f64 x (+.f64 x y)))
(.f64 x (.f64 2 (+.f64 x y)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 2 (*.f64 y x)))
(.f64 2 (fma.f64 y x (.f64 x x)))
(.f64 2 (.f64 x (+.f64 x y)))
(.f64 x (.f64 2 (+.f64 x y)))
(.f64 2 (.f64 y x))
(.f64 2 (.f64 x y))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 2 (*.f64 y x)))
(.f64 2 (fma.f64 y x (.f64 x x)))
(.f64 2 (.f64 x (+.f64 x y)))
(.f64 x (.f64 2 (+.f64 x y)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 2 (*.f64 y x)))
(.f64 2 (fma.f64 y x (.f64 x x)))
(.f64 2 (.f64 x (+.f64 x y)))
(.f64 x (.f64 2 (+.f64 x y)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 2 (*.f64 y x)))
(.f64 2 (fma.f64 y x (.f64 x x)))
(.f64 2 (.f64 x (+.f64 x y)))
(.f64 x (.f64 2 (+.f64 x y)))
(*.f64 2 (pow.f64 x 2))
(.f64 2 (.f64 x x))
(+.f64 (.f64 2 (.f64 y x)) (*.f64 2 (pow.f64 x 2)))
(.f64 2 (fma.f64 y x (.f64 x x)))
(.f64 2 (.f64 x (+.f64 x y)))
(.f64 x (.f64 2 (+.f64 x y)))
(+.f64 (.f64 2 (.f64 y x)) (*.f64 2 (pow.f64 x 2)))
(.f64 2 (fma.f64 y x (.f64 x x)))
(.f64 2 (.f64 x (+.f64 x y)))
(.f64 x (.f64 2 (+.f64 x y)))
(+.f64 (.f64 2 (.f64 y x)) (*.f64 2 (pow.f64 x 2)))
(.f64 2 (fma.f64 y x (.f64 x x)))
(.f64 2 (.f64 x (+.f64 x y)))
(.f64 x (.f64 2 (+.f64 x y)))
(*.f64 2 (pow.f64 x 2))
(.f64 2 (.f64 x x))
(+.f64 (.f64 2 (.f64 y x)) (*.f64 2 (pow.f64 x 2)))
(.f64 2 (fma.f64 y x (.f64 x x)))
(.f64 2 (.f64 x (+.f64 x y)))
(.f64 x (.f64 2 (+.f64 x y)))
(+.f64 (.f64 2 (.f64 y x)) (*.f64 2 (pow.f64 x 2)))
(.f64 2 (fma.f64 y x (.f64 x x)))
(.f64 2 (.f64 x (+.f64 x y)))
(.f64 x (.f64 2 (+.f64 x y)))
(+.f64 (.f64 2 (.f64 y x)) (*.f64 2 (pow.f64 x 2)))
(.f64 2 (fma.f64 y x (.f64 x x)))
(.f64 2 (.f64 x (+.f64 x y)))
(.f64 x (.f64 2 (+.f64 x y)))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 y x) (pow.f64 x 2))
(fma.f64 y x (*.f64 x x))
(*.f64 x (+.f64 x y))
(+.f64 (*.f64 y x) (pow.f64 x 2))
(fma.f64 y x (*.f64 x x))
(*.f64 x (+.f64 x y))
(+.f64 (*.f64 y x) (pow.f64 x 2))
(fma.f64 y x (*.f64 x x))
(*.f64 x (+.f64 x y))
(*.f64 y x)
(*.f64 x y)
(+.f64 (*.f64 y x) (pow.f64 x 2))
(fma.f64 y x (*.f64 x x))
(*.f64 x (+.f64 x y))
(+.f64 (*.f64 y x) (pow.f64 x 2))
(fma.f64 y x (*.f64 x x))
(*.f64 x (+.f64 x y))
(+.f64 (*.f64 y x) (pow.f64 x 2))
(fma.f64 y x (*.f64 x x))
(*.f64 x (+.f64 x y))
(*.f64 y x)
(*.f64 x y)
(+.f64 (*.f64 y x) (pow.f64 x 2))
(fma.f64 y x (*.f64 x x))
(*.f64 x (+.f64 x y))
(+.f64 (*.f64 y x) (pow.f64 x 2))
(fma.f64 y x (*.f64 x x))
(*.f64 x (+.f64 x y))
(+.f64 (*.f64 y x) (pow.f64 x 2))
(fma.f64 y x (*.f64 x x))
(*.f64 x (+.f64 x y))
(*.f64 y x)
(*.f64 x y)
(+.f64 (*.f64 y x) (pow.f64 x 2))
(fma.f64 y x (*.f64 x x))
(*.f64 x (+.f64 x y))
(+.f64 (*.f64 y x) (pow.f64 x 2))
(fma.f64 y x (*.f64 x x))
(*.f64 x (+.f64 x y))
(+.f64 (*.f64 y x) (pow.f64 x 2))
(fma.f64 y x (*.f64 x x))
(*.f64 x (+.f64 x y))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 y x) (pow.f64 x 2))
(fma.f64 y x (*.f64 x x))
(*.f64 x (+.f64 x y))
(+.f64 (*.f64 y x) (pow.f64 x 2))
(fma.f64 y x (*.f64 x x))
(*.f64 x (+.f64 x y))
(+.f64 (*.f64 y x) (pow.f64 x 2))
(fma.f64 y x (*.f64 x x))
(*.f64 x (+.f64 x y))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 y x) (pow.f64 x 2))
(fma.f64 y x (*.f64 x x))
(*.f64 x (+.f64 x y))
(+.f64 (*.f64 y x) (pow.f64 x 2))
(fma.f64 y x (*.f64 x x))
(*.f64 x (+.f64 x y))
(+.f64 (*.f64 y x) (pow.f64 x 2))
(fma.f64 y x (*.f64 x x))
(*.f64 x (+.f64 x y))

localize5.0ms (0.1%)

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

localize8.0ms (0.1%)

Compiler: Compiled 13 to 8 computations (38.5% saved)

eval117.0ms (2%)

Compiler: Compiled 6807 to 3026 computations (55.5% saved)

prune58.0ms (1%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	286	2	288
Fresh	0	0	0
Picked	0	1	1
Done	2	3	5
Total	288	6	294

Error

Counts

294 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(.f64 2 (.f64 x (+.f64 x y)))
✓	0.0b	(.f64 2 (+.f64 (.f64 x x) (*.f64 x y)))
✓	21.1b	(.f64 x (.f64 y 2))
▶	0.1b	(.f64 2 (.f64 (/.f64 (.f64 x (+.f64 x y)) x) (/.f64 (.f64 x (-.f64 x y)) (-.f64 x y))))
▶	34.6b	(.f64 2 (/.f64 (.f64 (.f64 (.f64 x (+.f64 x y)) x) (-.f64 x y)) (-.f64 (.f64 x x) (.f64 x y))))
✓	33.5b	(.f64 x (.f64 x 2))

Compiler

Compiled 78 to 47 computations (39.7% saved)

localize56.0ms (1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (/.f64 (.f64 x (+.f64 x y)) x) (/.f64 (*.f64 x (-.f64 x y)) (-.f64 x y)))
	0.0b	(*.f64 x (+.f64 x y))
✓	7.7b	(/.f64 (*.f64 x (-.f64 x y)) (-.f64 x y))
✓	7.9b	(/.f64 (*.f64 x (+.f64 x y)) x)

Compiler

Compiled 73 to 12 computations (83.6% saved)

series5.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

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

rewrite132.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

730×	`log-prod_binary64`
444×	`fma-def_binary64`
287×	`log-div_binary64`
221×	`pow1/3_binary64`
206×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	48
1	239	24
2	4210	24

Stop Event

1×	node limit

Counts

3 → 171

Calls

Call 1

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

Outputs

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

simplify223.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

1082×	`sqr-pow_binary64`
562×	`fabs-mul_binary64`
560×	`cube-prod_binary64`
523×	`pow-sqr_binary64`
481×	`fma-def_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	270
1	17	252
2	28	252
3	47	252
4	107	252
5	310	252
6	1038	252
7	2198	252
8	2545	252
9	2737	252
10	2947	252
11	3257	252
12	3668	252
13	4153	252
14	4725	252
15	5423	252
16	6271	252
17	6666	252
18	6958	252
19	7236	252
20	7310	252
21	7346	252

Stop Event

1×	node limit

Counts

243 → 179

Calls

Call 1

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

Outputs
y
(+.f64 y x)
(+.f64 y x)
(+.f64 y x)
x
(+.f64 y x)
(+.f64 y x)
(+.f64 y x)
x
(+.f64 y x)
(+.f64 y x)
(+.f64 y x)
x
(+.f64 y x)
(+.f64 y x)
(+.f64 y x)
y
(+.f64 y x)
(+.f64 y x)
(+.f64 y x)
y
(+.f64 y x)
(+.f64 y x)
(+.f64 y x)
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
(*.f64 y x)
(+.f64 (*.f64 y x) (pow.f64 x 2))
(fma.f64 y x (*.f64 x x))
(*.f64 x (+.f64 y x))
(+.f64 (*.f64 y x) (pow.f64 x 2))
(fma.f64 y x (*.f64 x x))
(*.f64 x (+.f64 y x))
(+.f64 (*.f64 y x) (pow.f64 x 2))
(fma.f64 y x (*.f64 x x))
(*.f64 x (+.f64 y x))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 y x) (pow.f64 x 2))
(fma.f64 y x (*.f64 x x))
(*.f64 x (+.f64 y x))
(+.f64 (*.f64 y x) (pow.f64 x 2))
(fma.f64 y x (*.f64 x x))
(*.f64 x (+.f64 y x))
(+.f64 (*.f64 y x) (pow.f64 x 2))
(fma.f64 y x (*.f64 x x))
(*.f64 x (+.f64 y x))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 y x) (pow.f64 x 2))
(fma.f64 y x (*.f64 x x))
(*.f64 x (+.f64 y x))
(+.f64 (*.f64 y x) (pow.f64 x 2))
(fma.f64 y x (*.f64 x x))
(*.f64 x (+.f64 y x))
(+.f64 (*.f64 y x) (pow.f64 x 2))
(fma.f64 y x (*.f64 x x))
(*.f64 x (+.f64 y x))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 y x) (pow.f64 x 2))
(fma.f64 y x (*.f64 x x))
(*.f64 x (+.f64 y x))
(+.f64 (*.f64 y x) (pow.f64 x 2))
(fma.f64 y x (*.f64 x x))
(*.f64 x (+.f64 y x))
(+.f64 (*.f64 y x) (pow.f64 x 2))
(fma.f64 y x (*.f64 x x))
(*.f64 x (+.f64 y x))
(*.f64 y x)
(+.f64 (*.f64 y x) (pow.f64 x 2))
(fma.f64 y x (*.f64 x x))
(*.f64 x (+.f64 y x))
(+.f64 (*.f64 y x) (pow.f64 x 2))
(fma.f64 y x (*.f64 x x))
(*.f64 x (+.f64 y x))
(+.f64 (*.f64 y x) (pow.f64 x 2))
(fma.f64 y x (*.f64 x x))
(*.f64 x (+.f64 y x))
(*.f64 y x)
(+.f64 (*.f64 y x) (pow.f64 x 2))
(fma.f64 y x (*.f64 x x))
(*.f64 x (+.f64 y x))
(+.f64 (*.f64 y x) (pow.f64 x 2))
(fma.f64 y x (*.f64 x x))
(*.f64 x (+.f64 y x))
(+.f64 (*.f64 y x) (pow.f64 x 2))
(fma.f64 y x (*.f64 x x))
(*.f64 x (+.f64 y x))

localize78.0ms (1.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(*.f64 x (+.f64 x y))
✓	0.1b	(.f64 (.f64 x (+.f64 x y)) x)
✓	2.6b	(.f64 (.f64 (*.f64 x (+.f64 x y)) x) (-.f64 x y))
✓	31.1b	(/.f64 (.f64 (.f64 (.f64 x (+.f64 x y)) x) (-.f64 x y)) (-.f64 (.f64 x x) (*.f64 x y)))

Compiler

Compiled 87 to 14 computations (83.9% saved)

series45.0ms (0.8%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
28.0ms	y	@	inf	(/.f64 (.f64 (.f64 (.f64 x (+.f64 x y)) x) (-.f64 x y)) (-.f64 (.f64 x x) (*.f64 x y)))
2.0ms	x	@	0	(/.f64 (.f64 (.f64 (.f64 x (+.f64 x y)) x) (-.f64 x y)) (-.f64 (.f64 x x) (*.f64 x y)))
2.0ms	y	@	-inf	(/.f64 (.f64 (.f64 (.f64 x (+.f64 x y)) x) (-.f64 x y)) (-.f64 (.f64 x x) (*.f64 x y)))
1.0ms	y	@	0	(/.f64 (.f64 (.f64 (.f64 x (+.f64 x y)) x) (-.f64 x y)) (-.f64 (.f64 x x) (*.f64 x y)))
1.0ms	x	@	-inf	(/.f64 (.f64 (.f64 (.f64 x (+.f64 x y)) x) (-.f64 x y)) (-.f64 (.f64 x x) (*.f64 x y)))

rewrite159.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

817×	`log-prod_binary64`
325×	`fma-neg_binary64`
237×	`expm1-udef_binary64`
237×	`log1p-udef_binary64`
201×	`log-div_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	51
1	287	30
2	4556	30

Stop Event

1×	node limit

Counts

3 → 148

Calls

Call 1

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

Outputs

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

simplify70.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

386×	`fma-def_binary64`
375×	`distribute-rgt-in_binary64`
286×	`associate-l_binary64`
247×	`associate-r_binary64`
227×	`distribute-lft-out_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	78	1131
1	261	831
2	996	651
3	5052	651

Stop Event

1×	node limit

Counts

220 → 176

Calls

Call 1

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

Outputs
(*.f64 y x)
(+.f64 (.f64 (+.f64 1 (.f64 -1 (/.f64 (+.f64 y (.f64 -1 y)) y))) (pow.f64 x 2)) (.f64 y x))
(fma.f64 (+.f64 1 (neg.f64 (/.f64 (.f64 0 y) y))) (.f64 x x) (*.f64 y x))
(fma.f64 y x (.f64 x (.f64 x (+.f64 1 (/.f64 0 y)))))
(*.f64 x (+.f64 y x))
(+.f64 (.f64 (+.f64 1 (.f64 -1 (/.f64 (+.f64 y (.f64 -1 y)) y))) (pow.f64 x 2)) (+.f64 (.f64 y x) (.f64 -1 (.f64 (+.f64 (/.f64 1 y) (.f64 -1 (/.f64 (+.f64 1 (.f64 -1 (/.f64 (+.f64 y (*.f64 -1 y)) y))) y))) (pow.f64 x 3)))))
(fma.f64 (+.f64 1 (neg.f64 (/.f64 (.f64 0 y) y))) (.f64 x x) (*.f64 y x))
(fma.f64 y x (.f64 x (.f64 x (+.f64 1 (/.f64 0 y)))))
(*.f64 x (+.f64 y x))
(+.f64 (.f64 (+.f64 1 (.f64 -1 (/.f64 (+.f64 y (.f64 -1 y)) y))) (pow.f64 x 2)) (+.f64 (.f64 y x) (+.f64 (.f64 -1 (.f64 (pow.f64 x 4) (+.f64 (/.f64 1 (pow.f64 y 2)) (.f64 -1 (/.f64 (+.f64 1 (.f64 -1 (/.f64 (+.f64 y (.f64 -1 y)) y))) (pow.f64 y 2)))))) (.f64 -1 (.f64 (+.f64 (/.f64 1 y) (.f64 -1 (/.f64 (+.f64 1 (.f64 -1 (/.f64 (+.f64 y (.f64 -1 y)) y))) y))) (pow.f64 x 3))))))
(fma.f64 (+.f64 1 (neg.f64 (/.f64 (.f64 0 y) y))) (.f64 x x) (*.f64 y x))
(fma.f64 y x (.f64 x (.f64 x (+.f64 1 (/.f64 0 y)))))
(*.f64 x (+.f64 y x))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 y x) (pow.f64 x 2))
(fma.f64 (+.f64 1 (neg.f64 (/.f64 (.f64 0 y) y))) (.f64 x x) (*.f64 y x))
(fma.f64 y x (.f64 x (.f64 x (+.f64 1 (/.f64 0 y)))))
(*.f64 x (+.f64 y x))
(+.f64 (*.f64 y x) (pow.f64 x 2))
(fma.f64 (+.f64 1 (neg.f64 (/.f64 (.f64 0 y) y))) (.f64 x x) (*.f64 y x))
(fma.f64 y x (.f64 x (.f64 x (+.f64 1 (/.f64 0 y)))))
(*.f64 x (+.f64 y x))
(+.f64 (*.f64 y x) (pow.f64 x 2))
(fma.f64 (+.f64 1 (neg.f64 (/.f64 (.f64 0 y) y))) (.f64 x x) (*.f64 y x))
(fma.f64 y x (.f64 x (.f64 x (+.f64 1 (/.f64 0 y)))))
(*.f64 x (+.f64 y x))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 y x) (pow.f64 x 2))
(fma.f64 (+.f64 1 (neg.f64 (/.f64 (.f64 0 y) y))) (.f64 x x) (*.f64 y x))
(fma.f64 y x (.f64 x (.f64 x (+.f64 1 (/.f64 0 y)))))
(*.f64 x (+.f64 y x))
(+.f64 (*.f64 y x) (pow.f64 x 2))
(fma.f64 (+.f64 1 (neg.f64 (/.f64 (.f64 0 y) y))) (.f64 x x) (*.f64 y x))
(fma.f64 y x (.f64 x (.f64 x (+.f64 1 (/.f64 0 y)))))
(*.f64 x (+.f64 y x))
(+.f64 (*.f64 y x) (pow.f64 x 2))
(fma.f64 (+.f64 1 (neg.f64 (/.f64 (.f64 0 y) y))) (.f64 x x) (*.f64 y x))
(fma.f64 y x (.f64 x (.f64 x (+.f64 1 (/.f64 0 y)))))
(*.f64 x (+.f64 y x))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 y x) (pow.f64 x 2))
(fma.f64 (+.f64 1 (neg.f64 (/.f64 (.f64 0 y) y))) (.f64 x x) (*.f64 y x))
(fma.f64 y x (.f64 x (.f64 x (+.f64 1 (/.f64 0 y)))))
(*.f64 x (+.f64 y x))
(+.f64 (*.f64 y x) (pow.f64 x 2))
(fma.f64 (+.f64 1 (neg.f64 (/.f64 (.f64 0 y) y))) (.f64 x x) (*.f64 y x))
(fma.f64 y x (.f64 x (.f64 x (+.f64 1 (/.f64 0 y)))))
(*.f64 x (+.f64 y x))
(+.f64 (*.f64 y x) (pow.f64 x 2))
(fma.f64 (+.f64 1 (neg.f64 (/.f64 (.f64 0 y) y))) (.f64 x x) (*.f64 y x))
(fma.f64 y x (.f64 x (.f64 x (+.f64 1 (/.f64 0 y)))))
(*.f64 x (+.f64 y x))
(*.f64 y x)
(-.f64 (+.f64 (.f64 y x) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (pow.f64 x 3)) (pow.f64 x 3)) x))) (.f64 -1 (pow.f64 x 2)))
(fma.f64 (+.f64 1 (neg.f64 (/.f64 (.f64 0 y) y))) (.f64 x x) (*.f64 y x))
(fma.f64 y x (.f64 x (.f64 x (+.f64 1 (/.f64 0 y)))))
(*.f64 x (+.f64 y x))
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 x 3) y)) (+.f64 (.f64 y x) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (pow.f64 x 3)) (pow.f64 x 3)) x)))) (+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (pow.f64 x 3)) (pow.f64 x 3)) x)) (.f64 -1 (pow.f64 x 2))) x) y))))
(fma.f64 (+.f64 1 (neg.f64 (/.f64 (.f64 0 y) y))) (.f64 x x) (*.f64 y x))
(fma.f64 y x (.f64 x (.f64 x (+.f64 1 (/.f64 0 y)))))
(*.f64 x (+.f64 y x))
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 x 3) y)) (+.f64 (.f64 y x) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (pow.f64 x 3)) (pow.f64 x 3)) x)) (/.f64 (.f64 (-.f64 (.f64 -1 (pow.f64 x 3)) (.f64 -1 (.f64 (-.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (pow.f64 x 3)) (pow.f64 x 3)) x)) (.f64 -1 (pow.f64 x 2))) x))) x) (pow.f64 y 2))))) (+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (pow.f64 x 3)) (pow.f64 x 3)) x)) (*.f64 -1 (pow.f64 x 2))) x) y))))
(fma.f64 (+.f64 1 (neg.f64 (/.f64 (.f64 0 y) y))) (.f64 x x) (*.f64 y x))
(fma.f64 y x (.f64 x (.f64 x (+.f64 1 (/.f64 0 y)))))
(*.f64 x (+.f64 y x))
(*.f64 y x)
(+.f64 (*.f64 y x) (pow.f64 x 2))
(fma.f64 (+.f64 1 (neg.f64 (/.f64 (.f64 0 y) y))) (.f64 x x) (*.f64 y x))
(fma.f64 y x (.f64 x (.f64 x (+.f64 1 (/.f64 0 y)))))
(*.f64 x (+.f64 y x))
(+.f64 (*.f64 y x) (pow.f64 x 2))
(fma.f64 (+.f64 1 (neg.f64 (/.f64 (.f64 0 y) y))) (.f64 x x) (*.f64 y x))
(fma.f64 y x (.f64 x (.f64 x (+.f64 1 (/.f64 0 y)))))
(*.f64 x (+.f64 y x))
(+.f64 (*.f64 y x) (pow.f64 x 2))
(fma.f64 (+.f64 1 (neg.f64 (/.f64 (.f64 0 y) y))) (.f64 x x) (*.f64 y x))
(fma.f64 y x (.f64 x (.f64 x (+.f64 1 (/.f64 0 y)))))
(*.f64 x (+.f64 y x))
(.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 2)))
(neg.f64 (.f64 (.f64 x x) (*.f64 y y)))
(neg.f64 (.f64 (.f64 y x) (*.f64 y x)))
(.f64 y (.f64 y (*.f64 x (neg.f64 x))))
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 2))) (.f64 (+.f64 y (.f64 -1 y)) (pow.f64 x 3)))
(neg.f64 (.f64 (.f64 x x) (*.f64 y y)))
(neg.f64 (.f64 (.f64 y x) (*.f64 y x)))
(.f64 y (.f64 y (*.f64 x (neg.f64 x))))
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (pow.f64 x 4) (.f64 (+.f64 y (.f64 -1 y)) (pow.f64 x 3))))
(fma.f64 -1 (.f64 (.f64 x x) (.f64 y y)) (+.f64 (pow.f64 x 4) (.f64 (*.f64 0 y) (pow.f64 x 3))))
(-.f64 (pow.f64 x 4) (.f64 (.f64 y x) (*.f64 y x)))
(-.f64 (pow.f64 x 4) (.f64 (.f64 x x) (*.f64 y y)))
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (pow.f64 x 4) (.f64 (+.f64 y (.f64 -1 y)) (pow.f64 x 3))))
(fma.f64 -1 (.f64 (.f64 x x) (.f64 y y)) (+.f64 (pow.f64 x 4) (.f64 (*.f64 0 y) (pow.f64 x 3))))
(-.f64 (pow.f64 x 4) (.f64 (.f64 y x) (*.f64 y x)))
(-.f64 (pow.f64 x 4) (.f64 (.f64 x x) (*.f64 y y)))
(pow.f64 x 4)
(+.f64 (pow.f64 x 4) (.f64 (+.f64 y (.f64 -1 y)) (pow.f64 x 3)))
(pow.f64 x 4)
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (pow.f64 x 4) (.f64 (+.f64 y (.f64 -1 y)) (pow.f64 x 3))))
(fma.f64 -1 (.f64 (.f64 x x) (.f64 y y)) (+.f64 (pow.f64 x 4) (.f64 (*.f64 0 y) (pow.f64 x 3))))
(-.f64 (pow.f64 x 4) (.f64 (.f64 y x) (*.f64 y x)))
(-.f64 (pow.f64 x 4) (.f64 (.f64 x x) (*.f64 y y)))
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (pow.f64 x 4) (.f64 (+.f64 y (.f64 -1 y)) (pow.f64 x 3))))
(fma.f64 -1 (.f64 (.f64 x x) (.f64 y y)) (+.f64 (pow.f64 x 4) (.f64 (*.f64 0 y) (pow.f64 x 3))))
(-.f64 (pow.f64 x 4) (.f64 (.f64 y x) (*.f64 y x)))
(-.f64 (pow.f64 x 4) (.f64 (.f64 x x) (*.f64 y y)))
(pow.f64 x 4)
(+.f64 (pow.f64 x 4) (.f64 (+.f64 y (.f64 -1 y)) (pow.f64 x 3)))
(pow.f64 x 4)
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (pow.f64 x 4) (.f64 (+.f64 y (.f64 -1 y)) (pow.f64 x 3))))
(fma.f64 -1 (.f64 (.f64 x x) (.f64 y y)) (+.f64 (pow.f64 x 4) (.f64 (*.f64 0 y) (pow.f64 x 3))))
(-.f64 (pow.f64 x 4) (.f64 (.f64 y x) (*.f64 y x)))
(-.f64 (pow.f64 x 4) (.f64 (.f64 x x) (*.f64 y y)))
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (pow.f64 x 4) (.f64 (+.f64 y (.f64 -1 y)) (pow.f64 x 3))))
(fma.f64 -1 (.f64 (.f64 x x) (.f64 y y)) (+.f64 (pow.f64 x 4) (.f64 (*.f64 0 y) (pow.f64 x 3))))
(-.f64 (pow.f64 x 4) (.f64 (.f64 y x) (*.f64 y x)))
(-.f64 (pow.f64 x 4) (.f64 (.f64 x x) (*.f64 y y)))
(pow.f64 x 4)
(+.f64 (.f64 (+.f64 (.f64 -1 (pow.f64 x 3)) (pow.f64 x 3)) y) (pow.f64 x 4))
(pow.f64 x 4)
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (.f64 (+.f64 (.f64 -1 (pow.f64 x 3)) (pow.f64 x 3)) y) (pow.f64 x 4)))
(fma.f64 -1 (.f64 (.f64 x x) (.f64 y y)) (+.f64 (pow.f64 x 4) (.f64 (*.f64 0 y) (pow.f64 x 3))))
(-.f64 (pow.f64 x 4) (.f64 (.f64 y x) (*.f64 y x)))
(-.f64 (pow.f64 x 4) (.f64 (.f64 x x) (*.f64 y y)))
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (.f64 (+.f64 (.f64 -1 (pow.f64 x 3)) (pow.f64 x 3)) y) (pow.f64 x 4)))
(fma.f64 -1 (.f64 (.f64 x x) (.f64 y y)) (+.f64 (pow.f64 x 4) (.f64 (*.f64 0 y) (pow.f64 x 3))))
(-.f64 (pow.f64 x 4) (.f64 (.f64 y x) (*.f64 y x)))
(-.f64 (pow.f64 x 4) (.f64 (.f64 x x) (*.f64 y y)))
(.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 2)))
(neg.f64 (.f64 (.f64 x x) (*.f64 y y)))
(neg.f64 (.f64 (.f64 y x) (*.f64 y x)))
(.f64 y (.f64 y (*.f64 x (neg.f64 x))))
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 2))) (.f64 (+.f64 (.f64 -1 (pow.f64 x 3)) (pow.f64 x 3)) y))
(neg.f64 (.f64 (.f64 x x) (*.f64 y y)))
(neg.f64 (.f64 (.f64 y x) (*.f64 y x)))
(.f64 y (.f64 y (*.f64 x (neg.f64 x))))
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (.f64 (+.f64 (.f64 -1 (pow.f64 x 3)) (pow.f64 x 3)) y) (pow.f64 x 4)))
(fma.f64 -1 (.f64 (.f64 x x) (.f64 y y)) (+.f64 (pow.f64 x 4) (.f64 (*.f64 0 y) (pow.f64 x 3))))
(-.f64 (pow.f64 x 4) (.f64 (.f64 y x) (*.f64 y x)))
(-.f64 (pow.f64 x 4) (.f64 (.f64 x x) (*.f64 y y)))
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (.f64 (+.f64 (.f64 -1 (pow.f64 x 3)) (pow.f64 x 3)) y) (pow.f64 x 4)))
(fma.f64 -1 (.f64 (.f64 x x) (.f64 y y)) (+.f64 (pow.f64 x 4) (.f64 (*.f64 0 y) (pow.f64 x 3))))
(-.f64 (pow.f64 x 4) (.f64 (.f64 y x) (*.f64 y x)))
(-.f64 (pow.f64 x 4) (.f64 (.f64 x x) (*.f64 y y)))
(.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 2)))
(neg.f64 (.f64 (.f64 x x) (*.f64 y y)))
(neg.f64 (.f64 (.f64 y x) (*.f64 y x)))
(.f64 y (.f64 y (*.f64 x (neg.f64 x))))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (pow.f64 x 3)) (pow.f64 x 3)) y)) (.f64 -1 (*.f64 (pow.f64 y 2) (pow.f64 x 2))))
(neg.f64 (.f64 (.f64 x x) (*.f64 y y)))
(neg.f64 (.f64 (.f64 y x) (*.f64 y x)))
(.f64 y (.f64 y (*.f64 x (neg.f64 x))))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (pow.f64 x 3)) (pow.f64 x 3)) y)) (+.f64 (.f64 -1 (*.f64 (pow.f64 y 2) (pow.f64 x 2))) (pow.f64 x 4)))
(fma.f64 -1 (.f64 (.f64 x x) (.f64 y y)) (+.f64 (pow.f64 x 4) (.f64 (*.f64 0 y) (pow.f64 x 3))))
(-.f64 (pow.f64 x 4) (.f64 (.f64 y x) (*.f64 y x)))
(-.f64 (pow.f64 x 4) (.f64 (.f64 x x) (*.f64 y y)))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (pow.f64 x 3)) (pow.f64 x 3)) y)) (+.f64 (.f64 -1 (*.f64 (pow.f64 y 2) (pow.f64 x 2))) (pow.f64 x 4)))
(fma.f64 -1 (.f64 (.f64 x x) (.f64 y y)) (+.f64 (pow.f64 x 4) (.f64 (*.f64 0 y) (pow.f64 x 3))))
(-.f64 (pow.f64 x 4) (.f64 (.f64 y x) (*.f64 y x)))
(-.f64 (pow.f64 x 4) (.f64 (.f64 x x) (*.f64 y y)))
(*.f64 y (pow.f64 x 2))
(.f64 y (.f64 x x))
(.f64 x (.f64 y x))
(+.f64 (pow.f64 x 3) (*.f64 y (pow.f64 x 2)))
(+.f64 (pow.f64 x 3) (.f64 y (.f64 x x)))
(.f64 (.f64 x x) (+.f64 y x))
(.f64 x (.f64 x (+.f64 y x)))
(+.f64 (pow.f64 x 3) (*.f64 y (pow.f64 x 2)))
(+.f64 (pow.f64 x 3) (.f64 y (.f64 x x)))
(.f64 (.f64 x x) (+.f64 y x))
(.f64 x (.f64 x (+.f64 y x)))
(+.f64 (pow.f64 x 3) (*.f64 y (pow.f64 x 2)))
(+.f64 (pow.f64 x 3) (.f64 y (.f64 x x)))
(.f64 (.f64 x x) (+.f64 y x))
(.f64 x (.f64 x (+.f64 y x)))
(pow.f64 x 3)
(+.f64 (pow.f64 x 3) (*.f64 y (pow.f64 x 2)))
(+.f64 (pow.f64 x 3) (.f64 y (.f64 x x)))
(.f64 (.f64 x x) (+.f64 y x))
(.f64 x (.f64 x (+.f64 y x)))
(+.f64 (pow.f64 x 3) (*.f64 y (pow.f64 x 2)))
(+.f64 (pow.f64 x 3) (.f64 y (.f64 x x)))
(.f64 (.f64 x x) (+.f64 y x))
(.f64 x (.f64 x (+.f64 y x)))
(+.f64 (pow.f64 x 3) (*.f64 y (pow.f64 x 2)))
(+.f64 (pow.f64 x 3) (.f64 y (.f64 x x)))
(.f64 (.f64 x x) (+.f64 y x))
(.f64 x (.f64 x (+.f64 y x)))
(pow.f64 x 3)
(+.f64 (pow.f64 x 3) (*.f64 y (pow.f64 x 2)))
(+.f64 (pow.f64 x 3) (.f64 y (.f64 x x)))
(.f64 (.f64 x x) (+.f64 y x))
(.f64 x (.f64 x (+.f64 y x)))
(+.f64 (pow.f64 x 3) (*.f64 y (pow.f64 x 2)))
(+.f64 (pow.f64 x 3) (.f64 y (.f64 x x)))
(.f64 (.f64 x x) (+.f64 y x))
(.f64 x (.f64 x (+.f64 y x)))
(+.f64 (pow.f64 x 3) (*.f64 y (pow.f64 x 2)))
(+.f64 (pow.f64 x 3) (.f64 y (.f64 x x)))
(.f64 (.f64 x x) (+.f64 y x))
(.f64 x (.f64 x (+.f64 y x)))
(pow.f64 x 3)
(+.f64 (pow.f64 x 3) (*.f64 y (pow.f64 x 2)))
(+.f64 (pow.f64 x 3) (.f64 y (.f64 x x)))
(.f64 (.f64 x x) (+.f64 y x))
(.f64 x (.f64 x (+.f64 y x)))
(+.f64 (pow.f64 x 3) (*.f64 y (pow.f64 x 2)))
(+.f64 (pow.f64 x 3) (.f64 y (.f64 x x)))
(.f64 (.f64 x x) (+.f64 y x))
(.f64 x (.f64 x (+.f64 y x)))
(+.f64 (pow.f64 x 3) (*.f64 y (pow.f64 x 2)))
(+.f64 (pow.f64 x 3) (.f64 y (.f64 x x)))
(.f64 (.f64 x x) (+.f64 y x))
(.f64 x (.f64 x (+.f64 y x)))
(*.f64 y (pow.f64 x 2))
(.f64 y (.f64 x x))
(.f64 x (.f64 y x))
(+.f64 (pow.f64 x 3) (*.f64 y (pow.f64 x 2)))
(+.f64 (pow.f64 x 3) (.f64 y (.f64 x x)))
(.f64 (.f64 x x) (+.f64 y x))
(.f64 x (.f64 x (+.f64 y x)))
(+.f64 (pow.f64 x 3) (*.f64 y (pow.f64 x 2)))
(+.f64 (pow.f64 x 3) (.f64 y (.f64 x x)))
(.f64 (.f64 x x) (+.f64 y x))
(.f64 x (.f64 x (+.f64 y x)))
(+.f64 (pow.f64 x 3) (*.f64 y (pow.f64 x 2)))
(+.f64 (pow.f64 x 3) (.f64 y (.f64 x x)))
(.f64 (.f64 x x) (+.f64 y x))
(.f64 x (.f64 x (+.f64 y x)))
(*.f64 y (pow.f64 x 2))
(.f64 y (.f64 x x))
(.f64 x (.f64 y x))
(+.f64 (pow.f64 x 3) (*.f64 y (pow.f64 x 2)))
(+.f64 (pow.f64 x 3) (.f64 y (.f64 x x)))
(.f64 (.f64 x x) (+.f64 y x))
(.f64 x (.f64 x (+.f64 y x)))
(+.f64 (pow.f64 x 3) (*.f64 y (pow.f64 x 2)))
(+.f64 (pow.f64 x 3) (.f64 y (.f64 x x)))
(.f64 (.f64 x x) (+.f64 y x))
(.f64 x (.f64 x (+.f64 y x)))
(+.f64 (pow.f64 x 3) (*.f64 y (pow.f64 x 2)))
(+.f64 (pow.f64 x 3) (.f64 y (.f64 x x)))
(.f64 (.f64 x x) (+.f64 y x))
(.f64 x (.f64 x (+.f64 y x)))

eval158.0ms (2.7%)

Compiler: Compiled 8964 to 3166 computations (64.7% saved)

prune67.0ms (1.1%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	409	2	411
Fresh	0	0	0
Picked	1	0	1
Done	1	4	5
Total	411	6	417

Error

Counts

417 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	9.5b	(.f64 2 (/.f64 (.f64 x (/.f64 (+.f64 x y) x)) (/.f64 1 x)))
✓	0.0b	(.f64 2 (.f64 x (+.f64 x y)))
✓	0.0b	(.f64 2 (+.f64 (.f64 x x) (*.f64 x y)))
✓	21.1b	(.f64 x (.f64 y 2))
▶	13.6b	(.f64 2 (/.f64 (.f64 x x) (/.f64 x (+.f64 x y))))
✓	33.5b	(.f64 x (.f64 x 2))

Compiler

Compiled 62 to 41 computations (33.9% saved)

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 2 (/.f64 (.f64 x x) (/.f64 x (+.f64 x y))))
✓	0.0b	(/.f64 x (+.f64 x y))
✓	13.4b	(/.f64 (*.f64 x x) (/.f64 x (+.f64 x y)))

Compiler

Compiled 36 to 9 computations (75% saved)

series41.0ms (0.7%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
35.0ms	y	@	inf	(/.f64 x (+.f64 x y))
1.0ms	x	@	0	(/.f64 x (+.f64 x y))
1.0ms	y	@	0	(/.f64 x (+.f64 x y))
1.0ms	y	@	-inf	(/.f64 x (+.f64 x y))
0.0ms	x	@	-inf	(/.f64 x (+.f64 x y))

rewrite100.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

683×	`prod-diff_binary64`
581×	`log-prod_binary64`
342×	`fma-def_binary64`
273×	`pow2_binary64`
234×	`pow-unpow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	36
1	207	24
2	3175	24

Stop Event

1×	node limit

Counts

3 → 147

Calls

Call 1

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

Outputs

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

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

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

simplify103.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

826×	`fma-def_binary64`
734×	`associate-/l*_binary64`
539×	`associate-/r*_binary64`
512×	`associate-*l/_binary64`
457×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	42	879
1	121	810
2	354	759
3	1458	717

Stop Event

1×	node limit

Counts

219 → 173

Calls

Call 1

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

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

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 2 (/.f64 (.f64 x (/.f64 (+.f64 x y) x)) (/.f64 1 x)))
✓	0.0b	(/.f64 (+.f64 x y) x)
✓	0.3b	(/.f64 (*.f64 x (/.f64 (+.f64 x y) x)) (/.f64 1 x))
✓	8.7b	(*.f64 x (/.f64 (+.f64 x y) x))

Compiler

Compiled 48 to 17 computations (64.6% saved)

series10.0ms (0.2%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
3.0ms	y	@	-inf	(*.f64 x (/.f64 (+.f64 x y) x))
0.0ms	x	@	-inf	(/.f64 (+.f64 x y) x)
0.0ms	y	@	-inf	(/.f64 (+.f64 x y) x)
0.0ms	y	@	0	(/.f64 (+.f64 x y) x)
0.0ms	x	@	0	(/.f64 (+.f64 x y) x)

rewrite98.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

663×	`log-prod_binary64`
519×	`prod-diff_binary64`
312×	`pow2_binary64`
234×	`fma-def_binary64`
233×	`log-div_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	52
1	247	46
2	3626	46

Stop Event

1×	node limit

Counts

4 → 156

Calls

Call 1

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

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

simplify339.0ms (5.8%)

Algorithm

1×	egg-herbie

Rules

888×	`sqr-pow_binary64`
658×	`associate-/l/_binary64`
538×	`fabs-mul_binary64`
512×	`cube-prod_binary64`
367×	`pow-sqr_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	627
1	34	591
2	56	591
3	113	591
4	269	591
5	770	591
6	1260	591
7	1910	591
8	3043	591
9	3241	591
10	3422	591
11	3679	591
12	4021	591
13	4414	591
14	4898	591
15	5513	591
16	6251	591
17	6747	591
18	7035	591
19	7309	591
20	7387	591
21	7423	591

Stop Event

1×	node limit

Counts

252 → 175

Calls

Call 1

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

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

eval122.0ms (2.1%)

Compiler: Compiled 5254 to 2352 computations (55.2% saved)

prune91.0ms (1.6%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	347	1	348
Fresh	0	0	0
Picked	1	0	1
Done	1	4	5
Total	349	5	354

Error

Counts

354 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(.f64 2 (.f64 x (+.f64 x y)))
	0.3b	(*.f64 2 (/.f64 (+.f64 y x) (/.f64 1 x)))
✓	0.0b	(.f64 2 (+.f64 (.f64 x x) (*.f64 x y)))
✓	21.1b	(.f64 x (.f64 y 2))
✓	33.5b	(.f64 x (.f64 x 2))

Compiler

Compiled 45 to 31 computations (31.1% saved)

regimes36.0ms (0.6%)

Counts

11 → 1

Calls

Call 1

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

Outputs
(.f64 2 (fma.f64 y x (.f64 x x)))

Calls

4 calls:

10.0ms	y
10.0ms	(+.f64 (.f64 x x) (.f64 x y))
7.0ms	x
6.0ms	(.f64 2 (+.f64 (.f64 x x) (*.f64 x y)))

Results

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

Compiler

Compiled 160 to 72 computations (55% saved)

regimes28.0ms (0.5%)

Counts

10 → 1

Calls

Call 1

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

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

Calls

4 calls:

7.0ms	y
6.0ms	x
6.0ms	(.f64 2 (+.f64 (.f64 x x) (*.f64 x y)))
6.0ms	(+.f64 (.f64 x x) (.f64 x y))

Results

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

Compiler

Compiled 152 to 69 computations (54.6% saved)

regimes38.0ms (0.7%)

Accuracy

Total -43.9b remaining (-467.8%)

Threshold costs -43.9b (-467.8%)

Counts

2 → 7

Calls

Call 1

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

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

Calls

2 calls:

20.0ms	x
18.0ms	y

Results

Error	Segments	Branch
9.4b	7	`x`
9.6b	3	`y`

Compiler

Compiled 18 to 12 computations (33.3% saved)

bsearch312.0ms (5.3%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
54.0ms	6.7875462635314e+59	8.74285779202563e+59
16.0ms	2.7658802787410023e+47	4.455831459559796e+50
67.0ms	2.8559982809127606e-36	2.0712578715169403e-32
16.0ms	-1.8599552550718737e-17	-3.7691213807987127e-19
48.0ms	-9.2550700171727e+34	-1.9060936080802067e+33
111.0ms	-9.546862325072059e+70	-2.331344368867107e+68

Compiler

Compiled 192 to 143 computations (25.5% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

7×	`*-commutative_binary64`
1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	113
1	41	113

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(.f64 2 (fma.f64 y x (.f64 x x)))
(.f64 2 (.f64 x (+.f64 x y)))
(if (<=.f64 x -240000000000000007829447601155211065538340938625732871707250923667456) (.f64 x (.f64 x 2)) (if (<=.f64 x -92550700171726998436719806610669568) (.f64 x (.f64 y 2)) (if (<=.f64 x -3017949946226573/162259276829213363391578010288128) (.f64 x (.f64 x 2)) (if (<=.f64 x 8548446543397363/2993155353253689176481146537402947624255349848014848) (.f64 x (.f64 y 2)) (if (<=.f64 x 276588027874100228866425575718344929439385649152) (.f64 x (.f64 x 2)) (if (<=.f64 x 680000000000000011968802014954028963929572614597710782136320) (.f64 x (.f64 y 2)) (.f64 x (.f64 x 2))))))))
(.f64 x (.f64 y 2))

Outputs
(.f64 2 (fma.f64 y x (.f64 x x)))
(.f64 2 (.f64 x (+.f64 x y)))
(.f64 2 (.f64 x (+.f64 y x)))
(if (<=.f64 x -240000000000000007829447601155211065538340938625732871707250923667456) (.f64 x (.f64 x 2)) (if (<=.f64 x -92550700171726998436719806610669568) (.f64 x (.f64 y 2)) (if (<=.f64 x -3017949946226573/162259276829213363391578010288128) (.f64 x (.f64 x 2)) (if (<=.f64 x 8548446543397363/2993155353253689176481146537402947624255349848014848) (.f64 x (.f64 y 2)) (if (<=.f64 x 276588027874100228866425575718344929439385649152) (.f64 x (.f64 x 2)) (if (<=.f64 x 680000000000000011968802014954028963929572614597710782136320) (.f64 x (.f64 y 2)) (.f64 x (.f64 x 2))))))))
(if (<=.f64 x -240000000000000007829447601155211065538340938625732871707250923667456) (.f64 x (.f64 2 x)) (if (<=.f64 x -92550700171726998436719806610669568) (.f64 x (.f64 2 y)) (if (<=.f64 x -3017949946226573/162259276829213363391578010288128) (.f64 x (.f64 2 x)) (if (<=.f64 x 8548446543397363/2993155353253689176481146537402947624255349848014848) (.f64 x (.f64 2 y)) (if (<=.f64 x 276588027874100228866425575718344929439385649152) (.f64 x (.f64 2 x)) (if (<=.f64 x 680000000000000011968802014954028963929572614597710782136320) (.f64 x (.f64 2 y)) (.f64 x (.f64 2 x))))))))
(.f64 x (.f64 y 2))
(.f64 x (.f64 2 y))

Compiler

Compiled 87 to 58 computations (33.3% saved)

soundness0.0ms (0%)

end47.0ms (0.8%)

Compiler: Compiled 81 to 52 computations (35.8% saved)

Details

analyze99.0ms (1.7%)

sample1.7s (29.9%)

preprocess18.0ms (0.3%)

simplify8.0ms (0.1%)

eval1.0ms (0%)

prune1.0ms (0%)

localize7.0ms (0.1%)

series6.0ms (0.1%)

rewrite74.0ms (1.3%)

simplify200.0ms (3.4%)

localize8.0ms (0.1%)

series5.0ms (0.1%)

rewrite209.0ms (3.6%)

simplify199.0ms (3.4%)

eval31.0ms (0.5%)

prune20.0ms (0.3%)

localize50.0ms (0.9%)

series51.0ms (0.9%)

rewrite112.0ms (1.9%)

simplify109.0ms (1.9%)

localize39.0ms (0.7%)

series4.0ms (0.1%)

rewrite57.0ms (1%)

simplify199.0ms (3.4%)

localize5.0ms (0.1%)

localize8.0ms (0.1%)

eval117.0ms (2%)

prune58.0ms (1%)

localize56.0ms (1%)

series5.0ms (0.1%)

rewrite132.0ms (2.3%)

simplify223.0ms (3.8%)

localize78.0ms (1.3%)

series45.0ms (0.8%)

rewrite159.0ms (2.7%)

simplify70.0ms (1.2%)

eval158.0ms (2.7%)

prune67.0ms (1.1%)

localize10.0ms (0.2%)

series41.0ms (0.7%)

rewrite100.0ms (1.7%)

simplify103.0ms (1.8%)

localize15.0ms (0.3%)

series10.0ms (0.2%)

rewrite98.0ms (1.7%)

simplify339.0ms (5.8%)

eval122.0ms (2.1%)

prune91.0ms (1.6%)

regimes36.0ms (0.6%)

regimes28.0ms (0.5%)

regimes38.0ms (0.7%)

bsearch312.0ms (5.3%)

simplify7.0ms (0.1%)

soundness0.0ms (0%)

end47.0ms (0.8%)

Profiling