Details

analyze100.0ms (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)

sample975.0ms (59.2%)

Results

910.0ms	8256×	body	256	valid
54.0ms	481×	body	256	infinite

Bogosity

preprocess84.0ms (5.1%)

Algorithm

2×	egg-herbie

Rules

513×	`fma-def_binary64`
355×	`fma-neg_binary64`
106×	`distribute-rgt-in_binary64`
92×	`cancel-sign-sub-inv_binary64`
84×	`unsub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	20
1	33	20
2	71	20
3	161	20
4	312	20
5	524	20
6	1006	20
7	1445	20
8	1896	20
9	2046	20
10	2048	20
11	2048	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 x -2) (-.f64 y x))
(.f64 (-.f64 y x) (.f64 x -2))
(.f64 2 (-.f64 (.f64 y y) (*.f64 y x)))
(.f64 2 (.f64 y (-.f64 y x)))
(.f64 (-.f64 y x) (.f64 2 y))

Compiler

Compiled 13 to 9 computations (30.8% saved)

simplify30.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

388×	`fma-def_binary64`
286×	`fma-neg_binary64`
70×	`distribute-rgt-in_binary64`
68×	`cancel-sign-sub-inv_binary64`
67×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	18	10
2	43	10
3	102	10
4	207	10
5	294	10
6	501	10
7	871	10
8	1254	10
9	1451	10
10	1501	10

Stop Event

1×

saturated

Counts

1 → 3

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

eval1.0ms (0%)

Compiler: Compiled 25 to 14 computations (44% saved)

prune1.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	1	2	3
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	3	4

Error

Counts

4 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(.f64 (.f64 2 x) (-.f64 x y))
▶	0.0b	(.f64 2 (-.f64 (.f64 x x) (*.f64 x y)))

Compiler

Compiled 20 to 13 computations (35% saved)

localize12.0ms (0.7%)

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 (0.3%)

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))
1.0ms	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 (.f64 x x) (.f64 x y))

rewrite48.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

951×	`pow1_binary64`
886×	`add-log-exp_binary64`
885×	`log1p-expm1-u_binary64`
885×	`expm1-log1p-u_binary64`
93×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	183	17
2	2476	17

Stop Event

1×	node limit

Counts

2 → 72

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

Outputs

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

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

simplify47.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

841×	`times-frac_binary64`
395×	`associate-/l*_binary64`
341×	`distribute-rgt-in_binary64`
318×	`unswap-sqr_binary64`
288×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	185	1697
1	508	1324
2	1982	1265

Stop Event

1×	node limit

Counts

120 → 102

Calls

Call 1

Inputs
(.f64 -1 (.f64 y x))
(+.f64 (pow.f64 x 2) (.f64 -1 (.f64 y x)))
(+.f64 (pow.f64 x 2) (.f64 -1 (.f64 y x)))
(+.f64 (pow.f64 x 2) (.f64 -1 (.f64 y x)))
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) (.f64 -1 (.f64 y x)))
(+.f64 (pow.f64 x 2) (.f64 -1 (.f64 y x)))
(+.f64 (pow.f64 x 2) (.f64 -1 (.f64 y x)))
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) (.f64 -1 (.f64 y x)))
(+.f64 (pow.f64 x 2) (.f64 -1 (.f64 y x)))
(+.f64 (pow.f64 x 2) (.f64 -1 (.f64 y x)))
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) (.f64 -1 (.f64 y x)))
(+.f64 (pow.f64 x 2) (.f64 -1 (.f64 y x)))
(+.f64 (pow.f64 x 2) (.f64 -1 (.f64 y x)))
(.f64 -1 (.f64 y x))
(+.f64 (pow.f64 x 2) (.f64 -1 (.f64 y x)))
(+.f64 (pow.f64 x 2) (.f64 -1 (.f64 y x)))
(+.f64 (pow.f64 x 2) (.f64 -1 (.f64 y x)))
(.f64 -1 (.f64 y x))
(+.f64 (pow.f64 x 2) (.f64 -1 (.f64 y x)))
(+.f64 (pow.f64 x 2) (.f64 -1 (.f64 y x)))
(+.f64 (pow.f64 x 2) (.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 (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 (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 (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 (.f64 x x) (.f64 y (neg.f64 x)))
(+.f64 (.f64 x x) (.f64 (*.f64 y (neg.f64 x)) 1))
(+.f64 (.f64 x x) (+.f64 (.f64 y (neg.f64 x)) (fma.f64 (neg.f64 y) x (*.f64 x y))))
(+.f64 (.f64 x (-.f64 x y)) (fma.f64 (neg.f64 y) x (.f64 x y)))
(+.f64 (.f64 x (-.f64 x y)) (fma.f64 (neg.f64 x) y (.f64 x y)))
(+.f64 (.f64 x (-.f64 x y)) (fma.f64 (.f64 y (neg.f64 x)) 1 (*.f64 x y)))
(+.f64 (.f64 x (-.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 x y))) (pow.f64 (cbrt.f64 (.f64 x y)) 2) (.f64 x y)))
(+.f64 (.f64 x (-.f64 x y)) (fma.f64 (neg.f64 (sqrt.f64 (.f64 x y))) (sqrt.f64 (.f64 x y)) (.f64 x y)))
(+.f64 (.f64 x (-.f64 x y)) (.f64 (fma.f64 (neg.f64 y) x (*.f64 x y)) 1))
(+.f64 (.f64 x (-.f64 x y)) (+.f64 (fma.f64 (neg.f64 y) x (.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y))))
(+.f64 (fma.f64 (neg.f64 y) x (.f64 x y)) (.f64 x (-.f64 x y)))
(+.f64 (.f64 y (neg.f64 x)) (.f64 x x))
(*.f64 x (-.f64 x y))
(.f64 (.f64 x (-.f64 x y)) 1)
(.f64 1 (.f64 x (-.f64 x y)))
(.f64 (cbrt.f64 (.f64 x (-.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 x y))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (-.f64 x y))) 2) (cbrt.f64 (*.f64 x (-.f64 x y))))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (-.f64 x y)))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (-.f64 x y)))
(.f64 (sqrt.f64 (.f64 x (-.f64 x y))) (sqrt.f64 (*.f64 x (-.f64 x y))))
(.f64 (-.f64 (pow.f64 x 6) (pow.f64 (.f64 x y) 3)) (/.f64 1 (+.f64 (pow.f64 x 4) (.f64 (.f64 x y) (*.f64 x (+.f64 x y))))))
(.f64 (-.f64 (pow.f64 x 4) (pow.f64 (.f64 x y) 2)) (/.f64 1 (*.f64 x (+.f64 x y))))
(*.f64 (-.f64 x y) x)
(.f64 (+.f64 x (sqrt.f64 (.f64 x y))) (-.f64 x (sqrt.f64 (*.f64 x y))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 x 4) (.f64 (.f64 x y) (.f64 x (+.f64 x y)))) (-.f64 (pow.f64 x 6) (pow.f64 (.f64 x y) 3))))
(/.f64 1 (/.f64 (.f64 x (+.f64 x y)) (-.f64 (pow.f64 x 4) (pow.f64 (.f64 x y) 2))))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (.f64 x y) 3)) (+.f64 (pow.f64 x 4) (.f64 (.f64 x y) (.f64 x (+.f64 x y)))))
(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 (.f64 x y) 2)) (.f64 x (+.f64 x y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 6) (pow.f64 (.f64 x y) 3))) (neg.f64 (+.f64 (pow.f64 x 4) (.f64 (.f64 x y) (.f64 x (+.f64 x y))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 4) (pow.f64 (.f64 x y) 2))) (neg.f64 (.f64 x (+.f64 x y))))
(/.f64 (+.f64 (pow.f64 x 6) (pow.f64 (.f64 y (neg.f64 x)) 3)) (+.f64 (pow.f64 x 4) (-.f64 (.f64 (.f64 y (neg.f64 x)) (.f64 y (neg.f64 x))) (.f64 (.f64 x x) (*.f64 y (neg.f64 x))))))
(/.f64 (+.f64 (pow.f64 (.f64 x (-.f64 x y)) 3) (pow.f64 (fma.f64 (neg.f64 y) x (.f64 x y)) 3)) (+.f64 (pow.f64 (.f64 x (-.f64 x y)) 2) (-.f64 (.f64 (fma.f64 (neg.f64 y) x (.f64 x y)) (fma.f64 (neg.f64 y) x (.f64 x y))) (.f64 (.f64 x (-.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y))))))
(/.f64 (-.f64 (pow.f64 x 4) (.f64 (.f64 y (neg.f64 x)) (.f64 y (neg.f64 x)))) (-.f64 (.f64 x x) (*.f64 y (neg.f64 x))))
(/.f64 (-.f64 (pow.f64 (.f64 x (-.f64 x y)) 2) (.f64 (fma.f64 (neg.f64 y) x (.f64 x y)) (fma.f64 (neg.f64 y) x (.f64 x y)))) (-.f64 (.f64 x (-.f64 x y)) (fma.f64 (neg.f64 y) x (.f64 x y))))
(pow.f64 (*.f64 x (-.f64 x y)) 1)
(pow.f64 (pow.f64 (*.f64 x (-.f64 x y)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 x (-.f64 x y))) 3)
(pow.f64 (sqrt.f64 (*.f64 x (-.f64 x y))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 x y)) 2))
(log.f64 (pow.f64 (exp.f64 x) (-.f64 x y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (-.f64 x y)))))
(cbrt.f64 (pow.f64 (*.f64 x (-.f64 x y)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 x y))))
(log1p.f64 (expm1.f64 (*.f64 x (-.f64 x y))))
(exp.f64 (log.f64 (*.f64 x (-.f64 x y))))
(fma.f64 x x (*.f64 y (neg.f64 x)))
(fma.f64 x (-.f64 x y) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(fma.f64 1 (.f64 x x) (.f64 y (neg.f64 x)))
(fma.f64 1 (.f64 x (-.f64 x y)) (fma.f64 (neg.f64 y) x (.f64 x y)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (-.f64 x y))) 2) (cbrt.f64 (.f64 x (-.f64 x y))) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) (*.f64 y (neg.f64 x)))
(fma.f64 (sqrt.f64 (.f64 x (-.f64 x y))) (sqrt.f64 (.f64 x (-.f64 x y))) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(+.f64 (.f64 (.f64 2 x) (-.f64 x y)) (.f64 (fma.f64 (neg.f64 y) x (.f64 x y)) 2))
(+.f64 (.f64 (.f64 2 x) (-.f64 x y)) (.f64 2 (fma.f64 (neg.f64 y) x (.f64 x y))))
(+.f64 (.f64 (.f64 x x) 2) (.f64 (.f64 y (neg.f64 x)) 2))
(+.f64 (.f64 2 (.f64 x x)) (.f64 2 (.f64 y (neg.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 2 x) (-.f64 x y)))) 1)
(/.f64 (.f64 (-.f64 (pow.f64 x 6) (pow.f64 (.f64 x y) 3)) 2) (+.f64 (pow.f64 x 4) (.f64 (.f64 x y) (*.f64 x (+.f64 x y)))))
(/.f64 (.f64 (-.f64 (pow.f64 x 4) (pow.f64 (.f64 x y) 2)) 2) (*.f64 x (+.f64 x y)))
(/.f64 (.f64 2 (-.f64 (pow.f64 x 6) (pow.f64 (.f64 x y) 3))) (+.f64 (pow.f64 x 4) (.f64 (.f64 x y) (*.f64 x (+.f64 x y)))))
(/.f64 (.f64 2 (-.f64 (pow.f64 x 4) (pow.f64 (.f64 x y) 2))) (*.f64 x (+.f64 x y)))
(pow.f64 (.f64 (.f64 2 x) (-.f64 x y)) 1)
(pow.f64 (pow.f64 (.f64 (.f64 2 x) (-.f64 x y)) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 (.f64 2 x) (-.f64 x y))) 3)
(pow.f64 (sqrt.f64 (.f64 (.f64 2 x) (-.f64 x y))) 2)
(sqrt.f64 (pow.f64 (.f64 (.f64 2 x) (-.f64 x y)) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) (-.f64 x y)) 2))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 2 x) (-.f64 x y)))))
(cbrt.f64 (pow.f64 (.f64 (.f64 2 x) (-.f64 x y)) 3))
(expm1.f64 (log1p.f64 (.f64 (.f64 2 x) (-.f64 x y))))
(log1p.f64 (expm1.f64 (.f64 (.f64 2 x) (-.f64 x y))))
(exp.f64 (log.f64 (.f64 (.f64 2 x) (-.f64 x y))))

Outputs
(.f64 -1 (.f64 y x))
(*.f64 y (neg.f64 x))
(+.f64 (pow.f64 x 2) (.f64 -1 (.f64 y x)))
(fma.f64 y (neg.f64 x) (*.f64 x x))
(*.f64 x (-.f64 x y))
(+.f64 (pow.f64 x 2) (.f64 -1 (.f64 y x)))
(fma.f64 y (neg.f64 x) (*.f64 x x))
(*.f64 x (-.f64 x y))
(+.f64 (pow.f64 x 2) (.f64 -1 (.f64 y x)))
(fma.f64 y (neg.f64 x) (*.f64 x x))
(*.f64 x (-.f64 x y))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (pow.f64 x 2) (.f64 -1 (.f64 y x)))
(fma.f64 y (neg.f64 x) (*.f64 x x))
(*.f64 x (-.f64 x y))
(+.f64 (pow.f64 x 2) (.f64 -1 (.f64 y x)))
(fma.f64 y (neg.f64 x) (*.f64 x x))
(*.f64 x (-.f64 x y))
(+.f64 (pow.f64 x 2) (.f64 -1 (.f64 y x)))
(fma.f64 y (neg.f64 x) (*.f64 x x))
(*.f64 x (-.f64 x y))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (pow.f64 x 2) (.f64 -1 (.f64 y x)))
(fma.f64 y (neg.f64 x) (*.f64 x x))
(*.f64 x (-.f64 x y))
(+.f64 (pow.f64 x 2) (.f64 -1 (.f64 y x)))
(fma.f64 y (neg.f64 x) (*.f64 x x))
(*.f64 x (-.f64 x y))
(+.f64 (pow.f64 x 2) (.f64 -1 (.f64 y x)))
(fma.f64 y (neg.f64 x) (*.f64 x x))
(*.f64 x (-.f64 x y))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (pow.f64 x 2) (.f64 -1 (.f64 y x)))
(fma.f64 y (neg.f64 x) (*.f64 x x))
(*.f64 x (-.f64 x y))
(+.f64 (pow.f64 x 2) (.f64 -1 (.f64 y x)))
(fma.f64 y (neg.f64 x) (*.f64 x x))
(*.f64 x (-.f64 x y))
(+.f64 (pow.f64 x 2) (.f64 -1 (.f64 y x)))
(fma.f64 y (neg.f64 x) (*.f64 x x))
(*.f64 x (-.f64 x y))
(.f64 -1 (.f64 y x))
(*.f64 y (neg.f64 x))
(+.f64 (pow.f64 x 2) (.f64 -1 (.f64 y x)))
(fma.f64 y (neg.f64 x) (*.f64 x x))
(*.f64 x (-.f64 x y))
(+.f64 (pow.f64 x 2) (.f64 -1 (.f64 y x)))
(fma.f64 y (neg.f64 x) (*.f64 x x))
(*.f64 x (-.f64 x y))
(+.f64 (pow.f64 x 2) (.f64 -1 (.f64 y x)))
(fma.f64 y (neg.f64 x) (*.f64 x x))
(*.f64 x (-.f64 x y))
(.f64 -1 (.f64 y x))
(*.f64 y (neg.f64 x))
(+.f64 (pow.f64 x 2) (.f64 -1 (.f64 y x)))
(fma.f64 y (neg.f64 x) (*.f64 x x))
(*.f64 x (-.f64 x y))
(+.f64 (pow.f64 x 2) (.f64 -1 (.f64 y x)))
(fma.f64 y (neg.f64 x) (*.f64 x x))
(*.f64 x (-.f64 x y))
(+.f64 (pow.f64 x 2) (.f64 -1 (.f64 y x)))
(fma.f64 y (neg.f64 x) (*.f64 x x))
(*.f64 x (-.f64 x y))
(.f64 -2 (.f64 y x))
(.f64 y (.f64 x -2))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(fma.f64 2 (.f64 x x) (.f64 -2 (*.f64 y x)))
(.f64 x (.f64 2 (-.f64 x y)))
(.f64 2 (.f64 x (-.f64 x y)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(fma.f64 2 (.f64 x x) (.f64 -2 (*.f64 y x)))
(.f64 x (.f64 2 (-.f64 x y)))
(.f64 2 (.f64 x (-.f64 x y)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(fma.f64 2 (.f64 x x) (.f64 -2 (*.f64 y x)))
(.f64 x (.f64 2 (-.f64 x y)))
(.f64 2 (.f64 x (-.f64 x y)))
(*.f64 2 (pow.f64 x 2))
(.f64 x (.f64 x 2))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(fma.f64 2 (.f64 x x) (.f64 -2 (*.f64 y x)))
(.f64 x (.f64 2 (-.f64 x y)))
(.f64 2 (.f64 x (-.f64 x y)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(fma.f64 2 (.f64 x x) (.f64 -2 (*.f64 y x)))
(.f64 x (.f64 2 (-.f64 x y)))
(.f64 2 (.f64 x (-.f64 x y)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(fma.f64 2 (.f64 x x) (.f64 -2 (*.f64 y x)))
(.f64 x (.f64 2 (-.f64 x y)))
(.f64 2 (.f64 x (-.f64 x y)))
(*.f64 2 (pow.f64 x 2))
(.f64 x (.f64 x 2))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(fma.f64 2 (.f64 x x) (.f64 -2 (*.f64 y x)))
(.f64 x (.f64 2 (-.f64 x y)))
(.f64 2 (.f64 x (-.f64 x y)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(fma.f64 2 (.f64 x x) (.f64 -2 (*.f64 y x)))
(.f64 x (.f64 2 (-.f64 x y)))
(.f64 2 (.f64 x (-.f64 x y)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(fma.f64 2 (.f64 x x) (.f64 -2 (*.f64 y x)))
(.f64 x (.f64 2 (-.f64 x y)))
(.f64 2 (.f64 x (-.f64 x y)))
(*.f64 2 (pow.f64 x 2))
(.f64 x (.f64 x 2))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(fma.f64 2 (.f64 x x) (.f64 -2 (*.f64 y x)))
(.f64 x (.f64 2 (-.f64 x y)))
(.f64 2 (.f64 x (-.f64 x y)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(fma.f64 2 (.f64 x x) (.f64 -2 (*.f64 y x)))
(.f64 x (.f64 2 (-.f64 x y)))
(.f64 2 (.f64 x (-.f64 x y)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(fma.f64 2 (.f64 x x) (.f64 -2 (*.f64 y x)))
(.f64 x (.f64 2 (-.f64 x y)))
(.f64 2 (.f64 x (-.f64 x y)))
(.f64 -2 (.f64 y x))
(.f64 y (.f64 x -2))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(fma.f64 2 (.f64 x x) (.f64 -2 (*.f64 y x)))
(.f64 x (.f64 2 (-.f64 x y)))
(.f64 2 (.f64 x (-.f64 x y)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(fma.f64 2 (.f64 x x) (.f64 -2 (*.f64 y x)))
(.f64 x (.f64 2 (-.f64 x y)))
(.f64 2 (.f64 x (-.f64 x y)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(fma.f64 2 (.f64 x x) (.f64 -2 (*.f64 y x)))
(.f64 x (.f64 2 (-.f64 x y)))
(.f64 2 (.f64 x (-.f64 x y)))
(.f64 -2 (.f64 y x))
(.f64 y (.f64 x -2))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(fma.f64 2 (.f64 x x) (.f64 -2 (*.f64 y x)))
(.f64 x (.f64 2 (-.f64 x y)))
(.f64 2 (.f64 x (-.f64 x y)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(fma.f64 2 (.f64 x x) (.f64 -2 (*.f64 y x)))
(.f64 x (.f64 2 (-.f64 x y)))
(.f64 2 (.f64 x (-.f64 x y)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(fma.f64 2 (.f64 x x) (.f64 -2 (*.f64 y x)))
(.f64 x (.f64 2 (-.f64 x y)))
(.f64 2 (.f64 x (-.f64 x y)))
(+.f64 (.f64 x x) (.f64 y (neg.f64 x)))
(fma.f64 y (neg.f64 x) (*.f64 x x))
(*.f64 x (-.f64 x y))
(+.f64 (.f64 x x) (.f64 (*.f64 y (neg.f64 x)) 1))
(fma.f64 y (neg.f64 x) (*.f64 x x))
(*.f64 x (-.f64 x y))
(+.f64 (.f64 x x) (+.f64 (.f64 y (neg.f64 x)) (fma.f64 (neg.f64 y) x (*.f64 x y))))
(fma.f64 y (neg.f64 x) (*.f64 x x))
(*.f64 x (-.f64 x y))
(+.f64 (.f64 x (-.f64 x y)) (fma.f64 (neg.f64 y) x (.f64 x y)))
(fma.f64 y (neg.f64 x) (*.f64 x x))
(*.f64 x (-.f64 x y))
(+.f64 (.f64 x (-.f64 x y)) (fma.f64 (neg.f64 x) y (.f64 x y)))
(fma.f64 y (neg.f64 x) (*.f64 x x))
(*.f64 x (-.f64 x y))
(+.f64 (.f64 x (-.f64 x y)) (fma.f64 (.f64 y (neg.f64 x)) 1 (*.f64 x y)))
(fma.f64 y (neg.f64 x) (*.f64 x x))
(*.f64 x (-.f64 x y))
(+.f64 (.f64 x (-.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 x y))) (pow.f64 (cbrt.f64 (.f64 x y)) 2) (.f64 x y)))
(fma.f64 y (neg.f64 x) (*.f64 x x))
(*.f64 x (-.f64 x y))
(+.f64 (.f64 x (-.f64 x y)) (fma.f64 (neg.f64 (sqrt.f64 (.f64 x y))) (sqrt.f64 (.f64 x y)) (.f64 x y)))
(fma.f64 y (neg.f64 x) (*.f64 x x))
(*.f64 x (-.f64 x y))
(+.f64 (.f64 x (-.f64 x y)) (.f64 (fma.f64 (neg.f64 y) x (*.f64 x y)) 1))
(fma.f64 y (neg.f64 x) (*.f64 x x))
(*.f64 x (-.f64 x y))
(+.f64 (.f64 x (-.f64 x y)) (+.f64 (fma.f64 (neg.f64 y) x (.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y))))
(fma.f64 y (neg.f64 x) (*.f64 x x))
(*.f64 x (-.f64 x y))
(+.f64 (fma.f64 (neg.f64 y) x (.f64 x y)) (.f64 x (-.f64 x y)))
(fma.f64 y (neg.f64 x) (*.f64 x x))
(*.f64 x (-.f64 x y))
(+.f64 (.f64 y (neg.f64 x)) (.f64 x x))
(fma.f64 y (neg.f64 x) (*.f64 x x))
(*.f64 x (-.f64 x y))
(*.f64 x (-.f64 x y))
(fma.f64 y (neg.f64 x) (*.f64 x x))
(.f64 (.f64 x (-.f64 x y)) 1)
(fma.f64 y (neg.f64 x) (*.f64 x x))
(*.f64 x (-.f64 x y))
(.f64 1 (.f64 x (-.f64 x y)))
(fma.f64 y (neg.f64 x) (*.f64 x x))
(*.f64 x (-.f64 x y))
(.f64 (cbrt.f64 (.f64 x (-.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 x y))) 2))
(fma.f64 y (neg.f64 x) (*.f64 x x))
(*.f64 x (-.f64 x y))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (-.f64 x y))) 2) (cbrt.f64 (*.f64 x (-.f64 x y))))
(fma.f64 y (neg.f64 x) (*.f64 x x))
(*.f64 x (-.f64 x y))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (-.f64 x y)))
(fma.f64 y (neg.f64 x) (*.f64 x x))
(*.f64 x (-.f64 x y))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (-.f64 x y)))
(fma.f64 y (neg.f64 x) (*.f64 x x))
(*.f64 x (-.f64 x y))
(.f64 (sqrt.f64 (.f64 x (-.f64 x y))) (sqrt.f64 (*.f64 x (-.f64 x y))))
(fma.f64 y (neg.f64 x) (*.f64 x x))
(*.f64 x (-.f64 x y))
(.f64 (-.f64 (pow.f64 x 6) (pow.f64 (.f64 x y) 3)) (/.f64 1 (+.f64 (pow.f64 x 4) (.f64 (.f64 x y) (*.f64 x (+.f64 x y))))))
(.f64 (-.f64 (pow.f64 x 6) (pow.f64 (.f64 y x) 3)) (/.f64 1 (+.f64 (pow.f64 x 4) (.f64 (.f64 y x) (*.f64 x (+.f64 y x))))))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (.f64 y x) 3)) (fma.f64 x (.f64 y (*.f64 x (+.f64 y x))) (pow.f64 x 4)))
(.f64 (-.f64 (pow.f64 x 4) (pow.f64 (.f64 x y) 2)) (/.f64 1 (*.f64 x (+.f64 x y))))
(.f64 (-.f64 (pow.f64 x 4) (pow.f64 (.f64 y x) 2)) (/.f64 1 (*.f64 x (+.f64 y x))))
(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 (.f64 y x) 2)) (.f64 x (+.f64 y x)))
(*.f64 (-.f64 x y) x)
(fma.f64 y (neg.f64 x) (*.f64 x x))
(*.f64 x (-.f64 x y))
(.f64 (+.f64 x (sqrt.f64 (.f64 x y))) (-.f64 x (sqrt.f64 (*.f64 x y))))
(fma.f64 y (neg.f64 x) (*.f64 x x))
(*.f64 x (-.f64 x y))
(/.f64 1 (/.f64 (+.f64 (pow.f64 x 4) (.f64 (.f64 x y) (.f64 x (+.f64 x y)))) (-.f64 (pow.f64 x 6) (pow.f64 (.f64 x y) 3))))
(.f64 (-.f64 (pow.f64 x 6) (pow.f64 (.f64 y x) 3)) (/.f64 1 (+.f64 (pow.f64 x 4) (.f64 (.f64 y x) (*.f64 x (+.f64 y x))))))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (.f64 y x) 3)) (fma.f64 x (.f64 y (*.f64 x (+.f64 y x))) (pow.f64 x 4)))
(/.f64 1 (/.f64 (.f64 x (+.f64 x y)) (-.f64 (pow.f64 x 4) (pow.f64 (.f64 x y) 2))))
(.f64 (-.f64 (pow.f64 x 4) (pow.f64 (.f64 y x) 2)) (/.f64 1 (*.f64 x (+.f64 y x))))
(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 (.f64 y x) 2)) (.f64 x (+.f64 y x)))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (.f64 x y) 3)) (+.f64 (pow.f64 x 4) (.f64 (.f64 x y) (.f64 x (+.f64 x y)))))
(.f64 (-.f64 (pow.f64 x 6) (pow.f64 (.f64 y x) 3)) (/.f64 1 (+.f64 (pow.f64 x 4) (.f64 (.f64 y x) (*.f64 x (+.f64 y x))))))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (.f64 y x) 3)) (fma.f64 x (.f64 y (*.f64 x (+.f64 y x))) (pow.f64 x 4)))
(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 (.f64 x y) 2)) (.f64 x (+.f64 x y)))
(.f64 (-.f64 (pow.f64 x 4) (pow.f64 (.f64 y x) 2)) (/.f64 1 (*.f64 x (+.f64 y x))))
(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 (.f64 y x) 2)) (.f64 x (+.f64 y x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 6) (pow.f64 (.f64 x y) 3))) (neg.f64 (+.f64 (pow.f64 x 4) (.f64 (.f64 x y) (.f64 x (+.f64 x y))))))
(.f64 (-.f64 (pow.f64 x 6) (pow.f64 (.f64 y x) 3)) (/.f64 1 (+.f64 (pow.f64 x 4) (.f64 (.f64 y x) (*.f64 x (+.f64 y x))))))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (.f64 y x) 3)) (fma.f64 x (.f64 y (*.f64 x (+.f64 y x))) (pow.f64 x 4)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 4) (pow.f64 (.f64 x y) 2))) (neg.f64 (.f64 x (+.f64 x y))))
(.f64 (-.f64 (pow.f64 x 4) (pow.f64 (.f64 y x) 2)) (/.f64 1 (*.f64 x (+.f64 y x))))
(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 (.f64 y x) 2)) (.f64 x (+.f64 y x)))
(/.f64 (+.f64 (pow.f64 x 6) (pow.f64 (.f64 y (neg.f64 x)) 3)) (+.f64 (pow.f64 x 4) (-.f64 (.f64 (.f64 y (neg.f64 x)) (.f64 y (neg.f64 x))) (.f64 (.f64 x x) (*.f64 y (neg.f64 x))))))
(.f64 (-.f64 (pow.f64 x 6) (pow.f64 (.f64 y x) 3)) (/.f64 1 (+.f64 (pow.f64 x 4) (.f64 (.f64 y x) (*.f64 x (+.f64 y x))))))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (.f64 y x) 3)) (fma.f64 x (.f64 y (*.f64 x (+.f64 y x))) (pow.f64 x 4)))
(/.f64 (+.f64 (pow.f64 (.f64 x (-.f64 x y)) 3) (pow.f64 (fma.f64 (neg.f64 y) x (.f64 x y)) 3)) (+.f64 (pow.f64 (.f64 x (-.f64 x y)) 2) (-.f64 (.f64 (fma.f64 (neg.f64 y) x (.f64 x y)) (fma.f64 (neg.f64 y) x (.f64 x y))) (.f64 (.f64 x (-.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y))))))
(/.f64 (+.f64 (pow.f64 (.f64 x (-.f64 x y)) 3) (pow.f64 (fma.f64 (neg.f64 x) y (.f64 y x)) 3)) (+.f64 (pow.f64 (.f64 x (-.f64 x y)) 2) (.f64 (fma.f64 (neg.f64 x) y (.f64 y x)) (-.f64 (fma.f64 (neg.f64 x) y (.f64 y x)) (*.f64 x (-.f64 x y))))))
(/.f64 (+.f64 (pow.f64 (.f64 x (-.f64 x y)) 3) (pow.f64 (.f64 0 (.f64 y x)) 3)) (fma.f64 (.f64 0 (.f64 y x)) (-.f64 (.f64 0 (.f64 y x)) (.f64 x (-.f64 x y))) (pow.f64 (*.f64 x (-.f64 x y)) 2)))
(/.f64 (+.f64 0 (pow.f64 (.f64 x (-.f64 x y)) 3)) (pow.f64 (.f64 x (-.f64 x y)) 2))
(/.f64 (-.f64 (pow.f64 x 4) (.f64 (.f64 y (neg.f64 x)) (.f64 y (neg.f64 x)))) (-.f64 (.f64 x x) (*.f64 y (neg.f64 x))))
(.f64 (-.f64 (pow.f64 x 4) (pow.f64 (.f64 y x) 2)) (/.f64 1 (*.f64 x (+.f64 y x))))
(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 (.f64 y x) 2)) (.f64 x (+.f64 y x)))
(/.f64 (-.f64 (pow.f64 (.f64 x (-.f64 x y)) 2) (.f64 (fma.f64 (neg.f64 y) x (.f64 x y)) (fma.f64 (neg.f64 y) x (.f64 x y)))) (-.f64 (.f64 x (-.f64 x y)) (fma.f64 (neg.f64 y) x (.f64 x y))))
(/.f64 (-.f64 (pow.f64 (.f64 x (-.f64 x y)) 2) (.f64 (fma.f64 (neg.f64 x) y (.f64 y x)) (fma.f64 (neg.f64 x) y (.f64 y x)))) (-.f64 (.f64 x (-.f64 x y)) (fma.f64 (neg.f64 x) y (.f64 y x))))
(/.f64 (+.f64 (pow.f64 (.f64 x (-.f64 x y)) 2) (.f64 (.f64 0 (.f64 y x)) (.f64 0 (.f64 y x)))) (fma.f64 x (-.f64 x y) (.f64 0 (.f64 y x))))
(/.f64 (pow.f64 (.f64 x (-.f64 x y)) 2) (.f64 x (-.f64 x y)))
(pow.f64 (*.f64 x (-.f64 x y)) 1)
(fma.f64 y (neg.f64 x) (*.f64 x x))
(*.f64 x (-.f64 x y))
(pow.f64 (pow.f64 (*.f64 x (-.f64 x y)) 3) 1/3)
(fma.f64 y (neg.f64 x) (*.f64 x x))
(*.f64 x (-.f64 x y))
(pow.f64 (cbrt.f64 (*.f64 x (-.f64 x y))) 3)
(fma.f64 y (neg.f64 x) (*.f64 x x))
(*.f64 x (-.f64 x y))
(pow.f64 (sqrt.f64 (*.f64 x (-.f64 x y))) 2)
(fma.f64 y (neg.f64 x) (*.f64 x x))
(*.f64 x (-.f64 x y))
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 x y)) 2))
(fma.f64 y (neg.f64 x) (*.f64 x x))
(*.f64 x (-.f64 x y))
(log.f64 (pow.f64 (exp.f64 x) (-.f64 x y)))
(fma.f64 y (neg.f64 x) (*.f64 x x))
(*.f64 x (-.f64 x y))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (-.f64 x y)))))
(fma.f64 y (neg.f64 x) (*.f64 x x))
(*.f64 x (-.f64 x y))
(cbrt.f64 (pow.f64 (*.f64 x (-.f64 x y)) 3))
(fma.f64 y (neg.f64 x) (*.f64 x x))
(*.f64 x (-.f64 x y))
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 x y))))
(fma.f64 y (neg.f64 x) (*.f64 x x))
(*.f64 x (-.f64 x y))
(log1p.f64 (expm1.f64 (*.f64 x (-.f64 x y))))
(fma.f64 y (neg.f64 x) (*.f64 x x))
(*.f64 x (-.f64 x y))
(exp.f64 (log.f64 (*.f64 x (-.f64 x y))))
(fma.f64 y (neg.f64 x) (*.f64 x x))
(*.f64 x (-.f64 x y))
(fma.f64 x x (*.f64 y (neg.f64 x)))
(fma.f64 y (neg.f64 x) (*.f64 x x))
(*.f64 x (-.f64 x y))
(fma.f64 x (-.f64 x y) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(fma.f64 y (neg.f64 x) (*.f64 x x))
(*.f64 x (-.f64 x y))
(fma.f64 1 (.f64 x x) (.f64 y (neg.f64 x)))
(fma.f64 y (neg.f64 x) (*.f64 x x))
(*.f64 x (-.f64 x y))
(fma.f64 1 (.f64 x (-.f64 x y)) (fma.f64 (neg.f64 y) x (.f64 x y)))
(fma.f64 y (neg.f64 x) (*.f64 x x))
(*.f64 x (-.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (-.f64 x y))) 2) (cbrt.f64 (.f64 x (-.f64 x y))) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(fma.f64 y (neg.f64 x) (*.f64 x x))
(*.f64 x (-.f64 x y))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) (*.f64 y (neg.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x 4)) (*.f64 y (neg.f64 x)))
(fma.f64 (sqrt.f64 (.f64 x (-.f64 x y))) (sqrt.f64 (.f64 x (-.f64 x y))) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(fma.f64 y (neg.f64 x) (*.f64 x x))
(*.f64 x (-.f64 x y))
(+.f64 (.f64 (.f64 2 x) (-.f64 x y)) (.f64 (fma.f64 (neg.f64 y) x (.f64 x y)) 2))
(fma.f64 2 (.f64 x x) (.f64 -2 (*.f64 y x)))
(.f64 x (.f64 2 (-.f64 x y)))
(.f64 2 (.f64 x (-.f64 x y)))
(+.f64 (.f64 (.f64 2 x) (-.f64 x y)) (.f64 2 (fma.f64 (neg.f64 y) x (.f64 x y))))
(fma.f64 2 (.f64 x x) (.f64 -2 (*.f64 y x)))
(.f64 x (.f64 2 (-.f64 x y)))
(.f64 2 (.f64 x (-.f64 x y)))
(+.f64 (.f64 (.f64 x x) 2) (.f64 (.f64 y (neg.f64 x)) 2))
(fma.f64 2 (.f64 x x) (.f64 -2 (*.f64 y x)))
(.f64 x (.f64 2 (-.f64 x y)))
(.f64 2 (.f64 x (-.f64 x y)))
(+.f64 (.f64 2 (.f64 x x)) (.f64 2 (.f64 y (neg.f64 x))))
(fma.f64 2 (.f64 x x) (.f64 -2 (*.f64 y x)))
(.f64 x (.f64 2 (-.f64 x y)))
(.f64 2 (.f64 x (-.f64 x y)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 2 x) (-.f64 x y)))) 1)
(fma.f64 2 (.f64 x x) (.f64 -2 (*.f64 y x)))
(.f64 x (.f64 2 (-.f64 x y)))
(.f64 2 (.f64 x (-.f64 x y)))
(/.f64 (.f64 (-.f64 (pow.f64 x 6) (pow.f64 (.f64 x y) 3)) 2) (+.f64 (pow.f64 x 4) (.f64 (.f64 x y) (*.f64 x (+.f64 x y)))))
(/.f64 2 (/.f64 (+.f64 (pow.f64 x 4) (.f64 (.f64 y x) (.f64 x (+.f64 y x)))) (-.f64 (pow.f64 x 6) (pow.f64 (.f64 y x) 3))))
(.f64 (/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (.f64 y x) 3)) (fma.f64 x (.f64 y (.f64 x (+.f64 y x))) (pow.f64 x 4))) 2)
(/.f64 (.f64 (-.f64 (pow.f64 x 4) (pow.f64 (.f64 x y) 2)) 2) (*.f64 x (+.f64 x y)))
(.f64 (/.f64 2 x) (/.f64 (-.f64 (pow.f64 x 4) (pow.f64 (.f64 y x) 2)) (+.f64 y x)))
(.f64 (/.f64 (-.f64 (pow.f64 x 4) (pow.f64 (.f64 y x) 2)) (*.f64 x (+.f64 y x))) 2)
(.f64 (/.f64 2 (.f64 x (+.f64 y x))) (-.f64 (pow.f64 x 4) (pow.f64 (*.f64 y x) 2)))
(/.f64 (.f64 2 (-.f64 (pow.f64 x 6) (pow.f64 (.f64 x y) 3))) (+.f64 (pow.f64 x 4) (.f64 (.f64 x y) (*.f64 x (+.f64 x y)))))
(/.f64 2 (/.f64 (+.f64 (pow.f64 x 4) (.f64 (.f64 y x) (.f64 x (+.f64 y x)))) (-.f64 (pow.f64 x 6) (pow.f64 (.f64 y x) 3))))
(.f64 (/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (.f64 y x) 3)) (fma.f64 x (.f64 y (.f64 x (+.f64 y x))) (pow.f64 x 4))) 2)
(/.f64 (.f64 2 (-.f64 (pow.f64 x 4) (pow.f64 (.f64 x y) 2))) (*.f64 x (+.f64 x y)))
(.f64 (/.f64 2 x) (/.f64 (-.f64 (pow.f64 x 4) (pow.f64 (.f64 y x) 2)) (+.f64 y x)))
(.f64 (/.f64 (-.f64 (pow.f64 x 4) (pow.f64 (.f64 y x) 2)) (*.f64 x (+.f64 y x))) 2)
(.f64 (/.f64 2 (.f64 x (+.f64 y x))) (-.f64 (pow.f64 x 4) (pow.f64 (*.f64 y x) 2)))
(pow.f64 (.f64 (.f64 2 x) (-.f64 x y)) 1)
(fma.f64 2 (.f64 x x) (.f64 -2 (*.f64 y x)))
(.f64 x (.f64 2 (-.f64 x y)))
(.f64 2 (.f64 x (-.f64 x y)))
(pow.f64 (pow.f64 (.f64 (.f64 2 x) (-.f64 x y)) 3) 1/3)
(fma.f64 2 (.f64 x x) (.f64 -2 (*.f64 y x)))
(.f64 x (.f64 2 (-.f64 x y)))
(.f64 2 (.f64 x (-.f64 x y)))
(pow.f64 (cbrt.f64 (.f64 (.f64 2 x) (-.f64 x y))) 3)
(fma.f64 2 (.f64 x x) (.f64 -2 (*.f64 y x)))
(.f64 x (.f64 2 (-.f64 x y)))
(.f64 2 (.f64 x (-.f64 x y)))
(pow.f64 (sqrt.f64 (.f64 (.f64 2 x) (-.f64 x y))) 2)
(fma.f64 2 (.f64 x x) (.f64 -2 (*.f64 y x)))
(.f64 x (.f64 2 (-.f64 x y)))
(.f64 2 (.f64 x (-.f64 x y)))
(sqrt.f64 (pow.f64 (.f64 (.f64 2 x) (-.f64 x y)) 2))
(fma.f64 2 (.f64 x x) (.f64 -2 (*.f64 y x)))
(.f64 x (.f64 2 (-.f64 x y)))
(.f64 2 (.f64 x (-.f64 x y)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) (-.f64 x y)) 2))
(fma.f64 2 (.f64 x x) (.f64 -2 (*.f64 y x)))
(.f64 x (.f64 2 (-.f64 x y)))
(.f64 2 (.f64 x (-.f64 x y)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 2 x) (-.f64 x y)))))
(fma.f64 2 (.f64 x x) (.f64 -2 (*.f64 y x)))
(.f64 x (.f64 2 (-.f64 x y)))
(.f64 2 (.f64 x (-.f64 x y)))
(cbrt.f64 (pow.f64 (.f64 (.f64 2 x) (-.f64 x y)) 3))
(fma.f64 2 (.f64 x x) (.f64 -2 (*.f64 y x)))
(.f64 x (.f64 2 (-.f64 x y)))
(.f64 2 (.f64 x (-.f64 x y)))
(expm1.f64 (log1p.f64 (.f64 (.f64 2 x) (-.f64 x y))))
(fma.f64 2 (.f64 x x) (.f64 -2 (*.f64 y x)))
(.f64 x (.f64 2 (-.f64 x y)))
(.f64 2 (.f64 x (-.f64 x y)))
(log1p.f64 (expm1.f64 (.f64 (.f64 2 x) (-.f64 x y))))
(fma.f64 2 (.f64 x x) (.f64 -2 (*.f64 y x)))
(.f64 x (.f64 2 (-.f64 x y)))
(.f64 2 (.f64 x (-.f64 x y)))
(exp.f64 (log.f64 (.f64 (.f64 2 x) (-.f64 x y))))
(fma.f64 2 (.f64 x x) (.f64 -2 (*.f64 y x)))
(.f64 x (.f64 2 (-.f64 x y)))
(.f64 2 (.f64 x (-.f64 x y)))

localize6.0ms (0.4%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 18 to 9 computations (50% saved)

series4.0ms (0.2%)

Counts

1 → 24

Calls

6 calls:

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

rewrite61.0ms (3.7%)

Algorithm

1×	batch-egg-rewrite

Rules

824×	`pow1_binary64`
767×	`add-log-exp_binary64`
766×	`log1p-expm1-u_binary64`
766×	`expm1-log1p-u_binary64`
751×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	153	10
2	2049	10

Stop Event

1×	node limit

Counts

1 → 19

Calls

Call 1

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

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

Outputs

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

simplify40.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

739×	`log-prod_binary64`
681×	`associate-l_binary64`
654×	`associate-r_binary64`
262×	`fma-neg_binary64`
174×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	68	590
1	199	555
2	712	450
3	4806	450

Stop Event

1×	node limit

Counts

43 → 32

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 (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 (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 (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 (.f64 x (.f64 2 x)) (.f64 (neg.f64 y) (.f64 2 x)))
(+.f64 (.f64 (.f64 2 x) x) (.f64 (.f64 2 x) (neg.f64 y)))
(-.f64 (+.f64 1 (.f64 x (.f64 2 (-.f64 x y)))) 1)
(/.f64 (.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) (.f64 2 x)) (fma.f64 x x (*.f64 y (+.f64 x y))))
(/.f64 (.f64 (-.f64 (.f64 x x) (.f64 y y)) (.f64 2 x)) (+.f64 x y))
(/.f64 (.f64 (.f64 2 x) (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 x x (*.f64 y (+.f64 x y))))
(/.f64 (.f64 (.f64 2 x) (-.f64 (.f64 x x) (.f64 y y))) (+.f64 x y))
(pow.f64 (.f64 x (.f64 2 (-.f64 x y))) 1)
(pow.f64 (pow.f64 (.f64 x (.f64 2 (-.f64 x y))) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 x (.f64 2 (-.f64 x y)))) 3)
(pow.f64 (sqrt.f64 (.f64 x (.f64 2 (-.f64 x y)))) 2)
(sqrt.f64 (pow.f64 (.f64 x (.f64 2 (-.f64 x y))) 2))
(log.f64 (pow.f64 (exp.f64 (-.f64 x y)) (*.f64 2 x)))
(cbrt.f64 (pow.f64 (.f64 x (.f64 2 (-.f64 x y))) 3))
(cbrt.f64 (.f64 (pow.f64 (.f64 2 x) 3) (pow.f64 (-.f64 x y) 3)))
(cbrt.f64 (.f64 (pow.f64 (-.f64 x y) 3) (pow.f64 (.f64 2 x) 3)))
(expm1.f64 (log1p.f64 (.f64 x (.f64 2 (-.f64 x y)))))
(log1p.f64 (expm1.f64 (.f64 x (.f64 2 (-.f64 x y)))))
(exp.f64 (log.f64 (.f64 x (.f64 2 (-.f64 x y)))))

Outputs
(.f64 -2 (.f64 y x))
(.f64 x (.f64 -2 y))
(.f64 y (.f64 -2 x))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(fma.f64 2 (.f64 x x) (.f64 -2 (*.f64 y x)))
(.f64 x (+.f64 (.f64 -2 y) (*.f64 x 2)))
(.f64 x (.f64 2 (-.f64 x y)))
(.f64 2 (.f64 x (-.f64 x y)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(fma.f64 2 (.f64 x x) (.f64 -2 (*.f64 y x)))
(.f64 x (+.f64 (.f64 -2 y) (*.f64 x 2)))
(.f64 x (.f64 2 (-.f64 x y)))
(.f64 2 (.f64 x (-.f64 x y)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(fma.f64 2 (.f64 x x) (.f64 -2 (*.f64 y x)))
(.f64 x (+.f64 (.f64 -2 y) (*.f64 x 2)))
(.f64 x (.f64 2 (-.f64 x y)))
(.f64 2 (.f64 x (-.f64 x y)))
(*.f64 2 (pow.f64 x 2))
(.f64 x (.f64 x 2))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(fma.f64 2 (.f64 x x) (.f64 -2 (*.f64 y x)))
(.f64 x (+.f64 (.f64 -2 y) (*.f64 x 2)))
(.f64 x (.f64 2 (-.f64 x y)))
(.f64 2 (.f64 x (-.f64 x y)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(fma.f64 2 (.f64 x x) (.f64 -2 (*.f64 y x)))
(.f64 x (+.f64 (.f64 -2 y) (*.f64 x 2)))
(.f64 x (.f64 2 (-.f64 x y)))
(.f64 2 (.f64 x (-.f64 x y)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(fma.f64 2 (.f64 x x) (.f64 -2 (*.f64 y x)))
(.f64 x (+.f64 (.f64 -2 y) (*.f64 x 2)))
(.f64 x (.f64 2 (-.f64 x y)))
(.f64 2 (.f64 x (-.f64 x y)))
(*.f64 2 (pow.f64 x 2))
(.f64 x (.f64 x 2))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(fma.f64 2 (.f64 x x) (.f64 -2 (*.f64 y x)))
(.f64 x (+.f64 (.f64 -2 y) (*.f64 x 2)))
(.f64 x (.f64 2 (-.f64 x y)))
(.f64 2 (.f64 x (-.f64 x y)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(fma.f64 2 (.f64 x x) (.f64 -2 (*.f64 y x)))
(.f64 x (+.f64 (.f64 -2 y) (*.f64 x 2)))
(.f64 x (.f64 2 (-.f64 x y)))
(.f64 2 (.f64 x (-.f64 x y)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(fma.f64 2 (.f64 x x) (.f64 -2 (*.f64 y x)))
(.f64 x (+.f64 (.f64 -2 y) (*.f64 x 2)))
(.f64 x (.f64 2 (-.f64 x y)))
(.f64 2 (.f64 x (-.f64 x y)))
(*.f64 2 (pow.f64 x 2))
(.f64 x (.f64 x 2))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(fma.f64 2 (.f64 x x) (.f64 -2 (*.f64 y x)))
(.f64 x (+.f64 (.f64 -2 y) (*.f64 x 2)))
(.f64 x (.f64 2 (-.f64 x y)))
(.f64 2 (.f64 x (-.f64 x y)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(fma.f64 2 (.f64 x x) (.f64 -2 (*.f64 y x)))
(.f64 x (+.f64 (.f64 -2 y) (*.f64 x 2)))
(.f64 x (.f64 2 (-.f64 x y)))
(.f64 2 (.f64 x (-.f64 x y)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(fma.f64 2 (.f64 x x) (.f64 -2 (*.f64 y x)))
(.f64 x (+.f64 (.f64 -2 y) (*.f64 x 2)))
(.f64 x (.f64 2 (-.f64 x y)))
(.f64 2 (.f64 x (-.f64 x y)))
(.f64 -2 (.f64 y x))
(.f64 x (.f64 -2 y))
(.f64 y (.f64 -2 x))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(fma.f64 2 (.f64 x x) (.f64 -2 (*.f64 y x)))
(.f64 x (+.f64 (.f64 -2 y) (*.f64 x 2)))
(.f64 x (.f64 2 (-.f64 x y)))
(.f64 2 (.f64 x (-.f64 x y)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(fma.f64 2 (.f64 x x) (.f64 -2 (*.f64 y x)))
(.f64 x (+.f64 (.f64 -2 y) (*.f64 x 2)))
(.f64 x (.f64 2 (-.f64 x y)))
(.f64 2 (.f64 x (-.f64 x y)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(fma.f64 2 (.f64 x x) (.f64 -2 (*.f64 y x)))
(.f64 x (+.f64 (.f64 -2 y) (*.f64 x 2)))
(.f64 x (.f64 2 (-.f64 x y)))
(.f64 2 (.f64 x (-.f64 x y)))
(.f64 -2 (.f64 y x))
(.f64 x (.f64 -2 y))
(.f64 y (.f64 -2 x))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(fma.f64 2 (.f64 x x) (.f64 -2 (*.f64 y x)))
(.f64 x (+.f64 (.f64 -2 y) (*.f64 x 2)))
(.f64 x (.f64 2 (-.f64 x y)))
(.f64 2 (.f64 x (-.f64 x y)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(fma.f64 2 (.f64 x x) (.f64 -2 (*.f64 y x)))
(.f64 x (+.f64 (.f64 -2 y) (*.f64 x 2)))
(.f64 x (.f64 2 (-.f64 x y)))
(.f64 2 (.f64 x (-.f64 x y)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(fma.f64 2 (.f64 x x) (.f64 -2 (*.f64 y x)))
(.f64 x (+.f64 (.f64 -2 y) (*.f64 x 2)))
(.f64 x (.f64 2 (-.f64 x y)))
(.f64 2 (.f64 x (-.f64 x y)))
(+.f64 (.f64 x (.f64 2 x)) (.f64 (neg.f64 y) (.f64 2 x)))
(fma.f64 2 (.f64 x x) (.f64 -2 (*.f64 y x)))
(.f64 x (+.f64 (.f64 -2 y) (*.f64 x 2)))
(.f64 x (.f64 2 (-.f64 x y)))
(.f64 2 (.f64 x (-.f64 x y)))
(+.f64 (.f64 (.f64 2 x) x) (.f64 (.f64 2 x) (neg.f64 y)))
(fma.f64 2 (.f64 x x) (.f64 -2 (*.f64 y x)))
(.f64 x (+.f64 (.f64 -2 y) (*.f64 x 2)))
(.f64 x (.f64 2 (-.f64 x y)))
(.f64 2 (.f64 x (-.f64 x y)))
(-.f64 (+.f64 1 (.f64 x (.f64 2 (-.f64 x y)))) 1)
(fma.f64 2 (.f64 x x) (.f64 -2 (*.f64 y x)))
(.f64 x (+.f64 (.f64 -2 y) (*.f64 x 2)))
(.f64 x (.f64 2 (-.f64 x y)))
(.f64 2 (.f64 x (-.f64 x y)))
(/.f64 (.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) (.f64 2 x)) (fma.f64 x x (*.f64 y (+.f64 x y))))
(/.f64 (.f64 x 2) (/.f64 (fma.f64 x x (.f64 y (+.f64 y x))) (-.f64 (pow.f64 x 3) (pow.f64 y 3))))
(.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 (.f64 x 2) (fma.f64 y (+.f64 y x) (*.f64 x x))))
(.f64 (.f64 x 2) (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 y (+.f64 y x) (*.f64 x x))))
(/.f64 (.f64 (-.f64 (.f64 x x) (.f64 y y)) (.f64 2 x)) (+.f64 x y))
(fma.f64 2 (.f64 x x) (.f64 -2 (*.f64 y x)))
(.f64 x (+.f64 (.f64 -2 y) (*.f64 x 2)))
(.f64 x (.f64 2 (-.f64 x y)))
(.f64 2 (.f64 x (-.f64 x y)))
(/.f64 (.f64 (.f64 2 x) (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 x x (*.f64 y (+.f64 x y))))
(/.f64 (.f64 x 2) (/.f64 (fma.f64 x x (.f64 y (+.f64 y x))) (-.f64 (pow.f64 x 3) (pow.f64 y 3))))
(.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 (.f64 x 2) (fma.f64 y (+.f64 y x) (*.f64 x x))))
(.f64 (.f64 x 2) (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 y (+.f64 y x) (*.f64 x x))))
(/.f64 (.f64 (.f64 2 x) (-.f64 (.f64 x x) (.f64 y y))) (+.f64 x y))
(fma.f64 2 (.f64 x x) (.f64 -2 (*.f64 y x)))
(.f64 x (+.f64 (.f64 -2 y) (*.f64 x 2)))
(.f64 x (.f64 2 (-.f64 x y)))
(.f64 2 (.f64 x (-.f64 x y)))
(pow.f64 (.f64 x (.f64 2 (-.f64 x y))) 1)
(fma.f64 2 (.f64 x x) (.f64 -2 (*.f64 y x)))
(.f64 x (+.f64 (.f64 -2 y) (*.f64 x 2)))
(.f64 x (.f64 2 (-.f64 x y)))
(.f64 2 (.f64 x (-.f64 x y)))
(pow.f64 (pow.f64 (.f64 x (.f64 2 (-.f64 x y))) 3) 1/3)
(fma.f64 2 (.f64 x x) (.f64 -2 (*.f64 y x)))
(.f64 x (+.f64 (.f64 -2 y) (*.f64 x 2)))
(.f64 x (.f64 2 (-.f64 x y)))
(.f64 2 (.f64 x (-.f64 x y)))
(pow.f64 (cbrt.f64 (.f64 x (.f64 2 (-.f64 x y)))) 3)
(fma.f64 2 (.f64 x x) (.f64 -2 (*.f64 y x)))
(.f64 x (+.f64 (.f64 -2 y) (*.f64 x 2)))
(.f64 x (.f64 2 (-.f64 x y)))
(.f64 2 (.f64 x (-.f64 x y)))
(pow.f64 (sqrt.f64 (.f64 x (.f64 2 (-.f64 x y)))) 2)
(fma.f64 2 (.f64 x x) (.f64 -2 (*.f64 y x)))
(.f64 x (+.f64 (.f64 -2 y) (*.f64 x 2)))
(.f64 x (.f64 2 (-.f64 x y)))
(.f64 2 (.f64 x (-.f64 x y)))
(sqrt.f64 (pow.f64 (.f64 x (.f64 2 (-.f64 x y))) 2))
(fma.f64 2 (.f64 x x) (.f64 -2 (*.f64 y x)))
(.f64 x (+.f64 (.f64 -2 y) (*.f64 x 2)))
(.f64 x (.f64 2 (-.f64 x y)))
(.f64 2 (.f64 x (-.f64 x y)))
(log.f64 (pow.f64 (exp.f64 (-.f64 x y)) (*.f64 2 x)))
(fma.f64 2 (.f64 x x) (.f64 -2 (*.f64 y x)))
(.f64 x (+.f64 (.f64 -2 y) (*.f64 x 2)))
(.f64 x (.f64 2 (-.f64 x y)))
(.f64 2 (.f64 x (-.f64 x y)))
(cbrt.f64 (pow.f64 (.f64 x (.f64 2 (-.f64 x y))) 3))
(fma.f64 2 (.f64 x x) (.f64 -2 (*.f64 y x)))
(.f64 x (+.f64 (.f64 -2 y) (*.f64 x 2)))
(.f64 x (.f64 2 (-.f64 x y)))
(.f64 2 (.f64 x (-.f64 x y)))
(cbrt.f64 (.f64 (pow.f64 (.f64 2 x) 3) (pow.f64 (-.f64 x y) 3)))
(fma.f64 2 (.f64 x x) (.f64 -2 (*.f64 y x)))
(.f64 x (+.f64 (.f64 -2 y) (*.f64 x 2)))
(.f64 x (.f64 2 (-.f64 x y)))
(.f64 2 (.f64 x (-.f64 x y)))
(cbrt.f64 (.f64 (pow.f64 (-.f64 x y) 3) (pow.f64 (.f64 2 x) 3)))
(fma.f64 2 (.f64 x x) (.f64 -2 (*.f64 y x)))
(.f64 x (+.f64 (.f64 -2 y) (*.f64 x 2)))
(.f64 x (.f64 2 (-.f64 x y)))
(.f64 2 (.f64 x (-.f64 x y)))
(expm1.f64 (log1p.f64 (.f64 x (.f64 2 (-.f64 x y)))))
(fma.f64 2 (.f64 x x) (.f64 -2 (*.f64 y x)))
(.f64 x (+.f64 (.f64 -2 y) (*.f64 x 2)))
(.f64 x (.f64 2 (-.f64 x y)))
(.f64 2 (.f64 x (-.f64 x y)))
(log1p.f64 (expm1.f64 (.f64 x (.f64 2 (-.f64 x y)))))
(fma.f64 2 (.f64 x x) (.f64 -2 (*.f64 y x)))
(.f64 x (+.f64 (.f64 -2 y) (*.f64 x 2)))
(.f64 x (.f64 2 (-.f64 x y)))
(.f64 2 (.f64 x (-.f64 x y)))
(exp.f64 (log.f64 (.f64 x (.f64 2 (-.f64 x y)))))
(fma.f64 2 (.f64 x x) (.f64 -2 (*.f64 y x)))
(.f64 x (+.f64 (.f64 -2 y) (*.f64 x 2)))
(.f64 x (.f64 2 (-.f64 x y)))
(.f64 2 (.f64 x (-.f64 x y)))

eval44.0ms (2.7%)

Compiler: Compiled 1981 to 859 computations (56.6% saved)

prune18.0ms (1.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	132	2	134
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	132	4	136

Error

Counts

136 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(.f64 (.f64 2 x) (-.f64 x y))
▶	22.0b	(.f64 y (.f64 x -2))
▶	33.5b	(.f64 x (.f64 x 2))
✓	0.0b	(.f64 2 (-.f64 (.f64 x x) (*.f64 x y)))

Compiler

Compiled 34 to 23 computations (32.4% saved)

localize5.0ms (0.3%)

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

localize5.0ms (0.3%)

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 (.f64 2 x) (-.f64 x y))
✓	22.0b	(.f64 y (.f64 x -2))
✓	33.5b	(.f64 x (.f64 x 2))
✓	0.0b	(.f64 2 (-.f64 (.f64 x x) (*.f64 x y)))

Compiler

Compiled 34 to 23 computations (32.4% saved)

regimes38.0ms (2.3%)

Counts

4 → 1

Calls

Call 1

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

26.0ms	(.f64 2 (-.f64 (.f64 x x) (*.f64 x y)))
4.0ms	x
4.0ms	y
3.0ms	(-.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 (0.5%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	x
3.0ms	y

Results

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

Compiler

Compiled 25 to 16 computations (36% saved)

regimes35.0ms (2.1%)

Accuracy

Total -48.2b remaining (-767.8%)

Threshold costs -48.2b (-767.8%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

2 calls:

8.0ms	x
8.0ms	y

Results

Error	Segments	Branch
9.3b	3	`x`
6.3b	3	`y`

Compiler

Compiled 18 to 12 computations (33.3% saved)

bsearch21.0ms (1.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
6.0ms	6.03770517414106e-10	9.989149156710543e-10
14.0ms	-5.1792408616431307e-89	-1.7395021165623162e-97

Results

18.0ms

208×

body

256

valid

Compiler

Compiled 224 to 167 computations (25.4% saved)

simplify5.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	63
1	38	63
2	52	63
3	58	63
4	61	63

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(.f64 2 (-.f64 (.f64 x x) (*.f64 x y)))
(.f64 (.f64 2 x) (-.f64 x y))
(if (<=.f64 y -7310526838468353/143343663499379469475676305956380433799785311823017570233599302461682679755530300504376159569382855409664) (.f64 y (.f64 x -2)) (if (<=.f64 y 8510837770086989/9671406556917033397649408) (.f64 x (.f64 x 2)) (.f64 y (.f64 x -2))))
(.f64 x (.f64 x 2))

Outputs
(.f64 2 (-.f64 (.f64 x x) (*.f64 x y)))
(.f64 (.f64 2 x) (-.f64 x y))
(if (<=.f64 y -7310526838468353/143343663499379469475676305956380433799785311823017570233599302461682679755530300504376159569382855409664) (.f64 y (.f64 x -2)) (if (<=.f64 y 8510837770086989/9671406556917033397649408) (.f64 x (.f64 x 2)) (.f64 y (.f64 x -2))))
(if (<=.f64 y -7310526838468353/143343663499379469475676305956380433799785311823017570233599302461682679755530300504376159569382855409664) (.f64 y (.f64 x -2)) (if (<=.f64 y 8510837770086989/9671406556917033397649408) (.f64 x (.f64 2 x)) (.f64 y (.f64 x -2))))
(.f64 x (.f64 x 2))
(.f64 x (.f64 2 x))

Compiler

Compiled 52 to 35 computations (32.7% saved)

soundness0.0ms (0%)

end54.0ms (3.3%)

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

Details

analyze100.0ms (6%)

sample975.0ms (59.2%)

preprocess84.0ms (5.1%)

simplify30.0ms (1.8%)

eval1.0ms (0%)

prune1.0ms (0.1%)

localize12.0ms (0.7%)

series5.0ms (0.3%)

rewrite48.0ms (2.9%)

simplify47.0ms (2.9%)

localize6.0ms (0.4%)

series4.0ms (0.2%)

rewrite61.0ms (3.7%)

simplify40.0ms (2.4%)

eval44.0ms (2.7%)

prune18.0ms (1.1%)

localize5.0ms (0.3%)

localize5.0ms (0.3%)

eval0.0ms (0%)

prune2.0ms (0.1%)

regimes38.0ms (2.3%)

regimes8.0ms (0.5%)

regimes35.0ms (2.1%)

bsearch21.0ms (1.3%)

simplify5.0ms (0.3%)

soundness0.0ms (0%)

end54.0ms (3.3%)

Profiling