Details

analyze70.0ms (2.6%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
25%	25%	74.9%	0.1%	0%	0%	0%	5
28.6%	25%	62.4%	0.1%	12.5%	0%	0%	6
42.9%	37.5%	50%	0.1%	12.5%	0%	0%	7
55.6%	46.8%	37.5%	0.1%	15.6%	0%	0%	8
63.6%	53.1%	30.4%	0.1%	16.4%	0%	0%	9
73.9%	58.5%	20.7%	0.1%	20.7%	0%	0%	10
79.3%	62%	16.2%	0.1%	21.7%	0%	0%	11
85.7%	65%	10.8%	0.1%	24.1%	0%	0%	12

Compiler

Compiled 12 to 8 computations (33.3% saved)

sample1.4s (53.3%)

Results

1.3s	8256×	body	256	valid
45.0ms	433×	body	256	infinite

Bogosity

preprocess20.0ms (0.8%)

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 (0.3%)

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 (0.1%)

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)

localize9.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 20 to 7 computations (65% saved)

series6.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

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

rewrite65.0ms (2.5%)

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

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.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))))))

simplify208.0ms (7.9%)

Algorithm

1×	egg-herbie

Rules

2020×	`unswap-sqr_binary64`
1080×	`sqr-pow_binary64`
631×	`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	265	372
5	755	372
6	1189	372
7	1677	372
8	1844	372
9	1982	372
10	2152	372
11	2401	372
12	2717	372
13	3089	372
14	3544	372
15	4134	372
16	4842	372
17	5704	372
18	6126	372
19	6438	372
20	6746	372
21	6822	372
22	6858	372

Stop Event

1×	node limit

Counts

90 → 54

Calls

Call 1

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

localize8.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 27 to 8 computations (70.4% saved)

series5.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

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

rewrite74.0ms (2.8%)

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	2446	17

Stop Event

1×	node limit

Counts

2 → 61

Calls

Call 1

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

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

Outputs

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

((#(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 (cbrt.f64 (*.f64 x x)) (*.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)) (cbrt.f64 (*.f64 x x)) (*.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))))))

simplify237.0ms (9%)

Algorithm

1×	egg-herbie

Rules

2020×	`unswap-sqr_binary64`
1080×	`sqr-pow_binary64`
631×	`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	265	372
5	755	372
6	1189	372
7	1677	372
8	1844	372
9	1982	372
10	2152	372
11	2401	372
12	2717	372
13	3089	372
14	3544	372
15	4134	372
16	4842	372
17	5704	372
18	6126	372
19	6438	372
20	6746	372
21	6822	372
22	6858	372

Stop Event

1×	node limit

Counts

109 → 73

Calls

Call 1

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

eval30.0ms (1.2%)

Compiler: Compiled 1567 to 780 computations (50.2% saved)

prune91.0ms (3.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	125	2	127
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	125	4	129

Error

Counts

129 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(.f64 2 (.f64 x (+.f64 x y)))
▶	20.6b	(.f64 y (.f64 2 x))
▶	36.2b	(.f64 x (.f64 2 x))
✓	0.0b	(.f64 2 (+.f64 (.f64 x x) (*.f64 x y)))

Compiler

Compiled 34 to 23 computations (32.4% saved)

localize10.0ms (0.4%)

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

localize18.0ms (0.7%)

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

eval0.0ms (0%)

Compiler: Compiled 2 to 2 computations (0% saved)

prune2.0ms (0.1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	3	3
Total	4	4

Error

Counts

4 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(.f64 2 (.f64 x (+.f64 x y)))
✓	20.6b	(.f64 y (.f64 2 x))
✓	36.2b	(.f64 x (.f64 2 x))
✓	0.0b	(.f64 2 (+.f64 (.f64 x x) (*.f64 x y)))

Compiler

Compiled 34 to 23 computations (32.4% saved)

regimes98.0ms (3.7%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

4 calls:

85.0ms	y
4.0ms	x
4.0ms	(.f64 2 (+.f64 (.f64 x x) (*.f64 x y)))
4.0ms	(+.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 54 to 33 computations (38.9% saved)

regimes8.0ms (0.3%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	y
4.0ms	x

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`y`

Compiler

Compiled 25 to 16 computations (36% saved)

regimes44.0ms (1.7%)

Accuracy

Total -51.2b remaining (-1080.4%)

Threshold costs -51.2b (-1080.4%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

2 calls:

34.0ms	y
9.0ms	x

Results

Error	Segments	Branch
10.8b	3	`x`
4.7b	3	`y`

Compiler

Compiled 18 to 12 computations (33.3% saved)

bsearch33.0ms (1.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
17.0ms	3.5479429605238394e-56	3.807080685151759e-56
17.0ms	-3.5054404949919658e-15	-2.8613762525451886e-15

Compiler

Compiled 16 to 11 computations (31.3% saved)

simplify122.0ms (4.6%)

Algorithm

1×	egg-herbie

Rules

7×	`*-commutative_binary64`
2×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	63
1	30	63

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(.f64 2 (+.f64 (.f64 x x) (*.f64 x y)))
(.f64 2 (.f64 x (+.f64 x y)))
(if (<=.f64 y -4443673747540907/1267650600228229401496703205376) (.f64 y (.f64 2 x)) (if (<=.f64 y 3917920378626673/110427941548649020598956093796432407239217743554726184882600387580788736) (.f64 x (.f64 2 x)) (.f64 y (.f64 2 x))))
(.f64 y (.f64 2 x))

Outputs
(.f64 2 (+.f64 (.f64 x x) (*.f64 x y)))
(.f64 2 (.f64 x (+.f64 x y)))
(if (<=.f64 y -4443673747540907/1267650600228229401496703205376) (.f64 y (.f64 2 x)) (if (<=.f64 y 3917920378626673/110427941548649020598956093796432407239217743554726184882600387580788736) (.f64 x (.f64 2 x)) (.f64 y (.f64 2 x))))
(.f64 y (.f64 2 x))

Compiler

Compiled 52 to 35 computations (32.7% saved)

soundness0.0ms (0%)

end58.0ms (2.2%)

Compiler: Compiled 46 to 29 computations (37% saved)

Details

analyze70.0ms (2.6%)

sample1.4s (53.3%)

preprocess20.0ms (0.8%)

simplify8.0ms (0.3%)

eval1.0ms (0%)

prune1.0ms (0.1%)

localize9.0ms (0.3%)

series6.0ms (0.2%)

rewrite65.0ms (2.5%)

simplify208.0ms (7.9%)

localize8.0ms (0.3%)

series5.0ms (0.2%)

rewrite74.0ms (2.8%)

simplify237.0ms (9%)

eval30.0ms (1.2%)

prune91.0ms (3.5%)

localize10.0ms (0.4%)

localize18.0ms (0.7%)

eval0.0ms (0%)

prune2.0ms (0.1%)

regimes98.0ms (3.7%)

regimes8.0ms (0.3%)

regimes44.0ms (1.7%)

bsearch33.0ms (1.3%)

simplify122.0ms (4.6%)

soundness0.0ms (0%)

end58.0ms (2.2%)

Profiling