Details

analyze81.0ms (2.7%)

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
36.4%	25%	43.7%	0.1%	31.2%	0%	0%	7
50%	31.2%	31.2%	0.1%	37.5%	0%	0%	8
62.5%	39%	23.4%	0.1%	37.5%	0%	0%	9
72.4%	42.9%	16.4%	0.1%	40.6%	0%	0%	10
79.6%	47.2%	12.1%	0.1%	40.6%	0%	0%	11
85.5%	49.4%	8.4%	0.1%	42.1%	0%	0%	12

Compiler

Compiled 14 to 9 computations (35.7% saved)

sample1.0s (34.8%)

Results

1.0s	8256×	body	256	valid
21.0ms	233×	body	256	infinite

Bogosity

preprocess15.0ms (0.5%)

Algorithm

2×	egg-herbie

Rules

26×	`fma-def_binary64`
11×	`+-commutative_binary64`
6×	`associate-+r+_binary64`
6×	`associate-+l+_binary64`
4×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	26
1	28	22
2	62	22
3	76	22
0	2	2

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

14×	`fma-def_binary64`
6×	`+-commutative_binary64`
3×	`associate-+r+_binary64`
3×	`associate-+l+_binary64`
2×	`*-commutative_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	17	11
2	34	11
3	42	11

Stop Event

1×

saturated

Counts

1 → 3

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 30 to 15 computations (50% saved)

prune2.0ms (0.1%)

Pruning

4 alts after pruning (4 fresh and 0 done)

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

Error

0.0b

Counts

4 → 3

Alt Table

Click to see full alt table

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

Compiler

Compiled 34 to 21 computations (38.2% saved)

localize11.0ms (0.4%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 25 to 13 computations (48% saved)

series4.0ms (0.1%)

Counts

2 → 36

Calls

9 calls:

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

rewrite57.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

606×	`unpow-prod-down_binary64`
410×	`log-prod_binary64`
380×	`fma-def_binary64`
298×	`exp-prod_binary64`
296×	`pow-prod-down_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	18
1	183	18
2	2571	18

Stop Event

1×	node limit

Counts

2 → 136

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x x) (.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x 2) (.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 x (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 x 2) 1) (.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 x 2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 x 2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 x (+.f64 x 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 8 (pow.f64 x 3)) (pow.f64 x 6)) (+.f64 (pow.f64 (.f64 x 2) 2) (-.f64 (pow.f64 x 4) (.f64 (.f64 x 2) (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (.f64 x 2) 2) (pow.f64 x 4)) (-.f64 (.f64 x 2) (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 8 (pow.f64 x 3)) x) (fma.f64 x (-.f64 x 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 4 (.f64 x x)) x) (-.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (+.f64 8 (pow.f64 x 3))) (fma.f64 x (-.f64 x 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (-.f64 4 (.f64 x x))) (-.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (+.f64 x 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x (+.f64 x 2)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x (+.f64 x 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 x (+.f64 x 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x (+.f64 x 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (.f64 x (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (+.f64 x 2)))) 2)) (cbrt.f64 (log.f64 (.f64 x (+.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 x (+.f64 x 2))))) (sqrt.f64 (log.f64 (.f64 x (+.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 x (+.f64 x 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 x (+.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 x (+.f64 x 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 x (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 x (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 x (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 x (+.f64 x 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (+.f64 x 2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (+.f64 x 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (.f64 x (+.f64 x 2)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (.f64 x (+.f64 x 2))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (.f64 x (+.f64 x 2))) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x x (.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 2 (.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 x (.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 x x) (.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 x 2) (.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) x) (.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) 2) (.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (pow.f64 x 3/2) (.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) 2) (.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x 2) 1 (.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (cbrt.f64 x) x) (pow.f64 (cbrt.f64 x) 2) (.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 3/2) (sqrt.f64 x) (.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 x 2)) 2) (cbrt.f64 (.f64 x 2)) (.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 x 2)) (sqrt.f64 (.f64 x 2)) (.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 5) (cbrt.f64 x) (.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 2 (sqrt.f64 x)) (sqrt.f64 x) (.f64 x x))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x (+.f64 x 2) (.f64 y y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (.f64 x (+.f64 x 2)) 2) (fma.f64 x (+.f64 x 2) (.f64 (neg.f64 y) y))) (/.f64 (pow.f64 y 4) (fma.f64 x (+.f64 x 2) (.f64 (neg.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 x (+.f64 x 2) (.f64 y y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 x (+.f64 x 2) (.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 x (+.f64 x 2) (.f64 y y))) (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 x 2) (.f64 y y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 x 2) (.f64 y y))) 2) (cbrt.f64 (fma.f64 x (+.f64 x 2) (.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (hypot.f64 y (sqrt.f64 (.f64 x (+.f64 x 2)))) (hypot.f64 y (sqrt.f64 (.f64 x (+.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (pow.f64 (.f64 x (+.f64 x 2)) 3) (pow.f64 y 6)) (/.f64 1 (fma.f64 (.f64 y y) (-.f64 (.f64 y y) (.f64 x (+.f64 x 2))) (pow.f64 (.f64 x (+.f64 x 2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (pow.f64 (.f64 x (+.f64 x 2)) 3) (pow.f64 y 6)) (pow.f64 (/.f64 1 (fma.f64 (.f64 y y) (-.f64 (.f64 y y) (.f64 x (+.f64 x 2))) (pow.f64 (.f64 x (+.f64 x 2)) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 (.f64 x (+.f64 x 2)) 2) (pow.f64 y 4)) (/.f64 1 (fma.f64 x (+.f64 x 2) (.f64 (neg.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 (.f64 x (+.f64 x 2)) 2) (pow.f64 y 4)) (pow.f64 (/.f64 1 (fma.f64 x (+.f64 x 2) (.f64 (neg.f64 y) y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/3) (fma.f64 x (+.f64 x 2) (.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x (+.f64 x 2) (.f64 y y)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x (+.f64 x 2) (.f64 y y)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (.f64 (fma.f64 x (+.f64 x 2) (.f64 y y)) (cbrt.f64 (fma.f64 x (+.f64 x 2) (.f64 y y)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 x (+.f64 x 2) (.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (fma.f64 x (+.f64 x 2) (.f64 y y)) 5/2) 1/3) (cbrt.f64 (hypot.f64 y (sqrt.f64 (.f64 x (+.f64 x 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (+.f64 x 2) (.f64 y y)))) 2) 3) (cbrt.f64 (fma.f64 x (+.f64 x 2) (.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x (+.f64 x 2) (.f64 y y)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x (+.f64 x 2) (.f64 y y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (.f64 y y) (-.f64 (.f64 y y) (.f64 x (+.f64 x 2))) (pow.f64 (.f64 x (+.f64 x 2)) 2)) (+.f64 (pow.f64 (.f64 x (+.f64 x 2)) 3) (pow.f64 y 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x (+.f64 x 2) (.f64 (neg.f64 y) y)) (-.f64 (pow.f64 (.f64 x (+.f64 x 2)) 2) (pow.f64 y 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 x (+.f64 x 2)) 3) (pow.f64 y 6)) (fma.f64 (.f64 y y) (-.f64 (.f64 y y) (.f64 x (+.f64 x 2))) (pow.f64 (.f64 x (+.f64 x 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 x (+.f64 x 2)) 3) (pow.f64 y 6)) (+.f64 (pow.f64 y 4) (-.f64 (pow.f64 (.f64 x (+.f64 x 2)) 2) (.f64 x (.f64 (+.f64 x 2) (.f64 y y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (.f64 x (+.f64 x 2)) 2) (pow.f64 y 4)) (fma.f64 x (+.f64 x 2) (.f64 (neg.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (.f64 x (+.f64 x 2)) 3) (pow.f64 y 6))) (neg.f64 (fma.f64 (.f64 y y) (-.f64 (.f64 y y) (.f64 x (+.f64 x 2))) (pow.f64 (.f64 x (+.f64 x 2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (.f64 x (+.f64 x 2)) 2) (pow.f64 y 4))) (neg.f64 (fma.f64 x (+.f64 x 2) (.f64 (neg.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 y 4) (pow.f64 (.f64 x (+.f64 x 2)) 2)) (-.f64 (.f64 y y) (.f64 x (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x (+.f64 x 2) (.f64 y y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (+.f64 x 2) (.f64 y y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (+.f64 x 2) (.f64 y y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x (+.f64 x 2) (.f64 y y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 y (sqrt.f64 (.f64 x (+.f64 x 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (fma.f64 x (+.f64 x 2) (.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (.f64 y y) (-.f64 (.f64 y y) (.f64 x (+.f64 x 2))) (pow.f64 (.f64 x (+.f64 x 2)) 2)) (+.f64 (pow.f64 (.f64 x (+.f64 x 2)) 3) (pow.f64 y 6))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x (+.f64 x 2) (.f64 (neg.f64 y) y)) (-.f64 (pow.f64 (.f64 x (+.f64 x 2)) 2) (pow.f64 y 4))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x (+.f64 x 2) (.f64 y y)))) 2)) (cbrt.f64 (log.f64 (fma.f64 x (+.f64 x 2) (.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 x (+.f64 x 2) (.f64 y y))))) (sqrt.f64 (log.f64 (fma.f64 x (+.f64 x 2) (.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x (+.f64 x 2) (.f64 y y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x (+.f64 x 2) (.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (+.f64 x 2) (.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x (+.f64 x 2)))) (pow.f64 (exp.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (pow.f64 (exp.f64 x) (+.f64 x 2)) (+.f64 1 (expm1.f64 (.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x (+.f64 x 2)))) (+.f64 1 (expm1.f64 (.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 y y))) (pow.f64 (exp.f64 x) (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (pow.f64 (exp.f64 y) y) (+.f64 1 (expm1.f64 (.f64 x (+.f64 x 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 y y))) (+.f64 1 (expm1.f64 (.f64 x (+.f64 x 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (+.f64 x 2) (.f64 y y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (+.f64 x 2) (.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x (+.f64 x 2) (.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x (+.f64 x 2) (.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 x (+.f64 x 2) (.f64 y y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 x (+.f64 x 2) (.f64 y y)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 x (+.f64 x 2) (.f64 y y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (hypot.f64 y (sqrt.f64 (.f64 x (+.f64 x 2))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (fma.f64 x (+.f64 x 2) (.f64 y y))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 2 (fma.f64 x x (.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (+.f64 x 2) (.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 x (fma.f64 x x (.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x 2) x (.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x (+.f64 x 2)) 1 (.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y y (.f64 x (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 y y) 1 (.f64 x (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 x (+.f64 x 2)) (.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 y y) (.f64 x (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 x 2) (fma.f64 x x (.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 x (+.f64 x 2))) (pow.f64 (cbrt.f64 (.f64 x (+.f64 x 2))) 2) (.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 x 2))) 2) (cbrt.f64 (.f64 x (+.f64 x 2))) (.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (+.f64 x 2)) (.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) 2) (fma.f64 x x (.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 (cbrt.f64 y) y) (.f64 x (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (cbrt.f64 y) y) (pow.f64 (cbrt.f64 y) 2) (.f64 x (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 2)) 2) (.f64 (cbrt.f64 (+.f64 x 2)) x) (.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 x (+.f64 x 2))) (sqrt.f64 (.f64 x (+.f64 x 2))) (.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (+.f64 x 2)) (.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) 2) (fma.f64 x x (.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (pow.f64 y 3/2) (.f64 x (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x 2)) (.f64 (sqrt.f64 (+.f64 x 2)) x) (.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 x 2)) 2) (cbrt.f64 (.f64 x 2)) (fma.f64 x x (.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 x 2)) (sqrt.f64 (.f64 x 2)) (fma.f64 x x (.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 y 3/2) (sqrt.f64 y) (.f64 x (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x (pow.f64 (cbrt.f64 (+.f64 x 2)) 2)) (cbrt.f64 (+.f64 x 2)) (.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x (sqrt.f64 (+.f64 x 2))) (sqrt.f64 (+.f64 x 2)) (.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (+.f64 x 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (+.f64 x 2) (sqrt.f64 x)) (sqrt.f64 x) (.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (fma.f64 x x (.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 2 (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 x x (.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 5) (cbrt.f64 y) (.f64 x (+.f64 x 2)))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x x) (*.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 2) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x 2) 1) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 x 2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 x 2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 x 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 8 (pow.f64 x 3)) (pow.f64 x 6)) (+.f64 (pow.f64 (*.f64 x 2) 2) (-.f64 (pow.f64 x 4) (*.f64 (*.f64 x 2) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 x 2) 2) (pow.f64 x 4)) (-.f64 (*.f64 x 2) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 8 (pow.f64 x 3)) x) (fma.f64 x (-.f64 x 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 4 (*.f64 x x)) x) (-.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 8 (pow.f64 x 3))) (fma.f64 x (-.f64 x 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 4 (*.f64 x x))) (-.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (+.f64 x 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (+.f64 x 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 x (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (+.f64 x 2)))) 2)) (cbrt.f64 (log.f64 (*.f64 x (+.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x (+.f64 x 2))))) (sqrt.f64 (log.f64 (*.f64 x (+.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (+.f64 x 2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (+.f64 x 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 x (+.f64 x 2)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x 2))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x 2))) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x x (*.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 2 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 x (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x x) (*.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x 2) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) x) (*.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 2) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (pow.f64 x 3/2) (*.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 2) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x 2) 1 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 x) x) (pow.f64 (cbrt.f64 x) 2) (*.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 3/2) (sqrt.f64 x) (*.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 2)) 2) (cbrt.f64 (*.f64 x 2)) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x 2)) (sqrt.f64 (*.f64 x 2)) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 5) (cbrt.f64 x) (*.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x x))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x (+.f64 x 2) (*.f64 y y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 2) (fma.f64 x (+.f64 x 2) (*.f64 (neg.f64 y) y))) (/.f64 (pow.f64 y 4) (fma.f64 x (+.f64 x 2) (*.f64 (neg.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (+.f64 x 2) (*.f64 y y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x (+.f64 x 2) (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x (+.f64 x 2) (*.f64 y y))) (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 x 2) (*.f64 y y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 x 2) (*.f64 y y))) 2) (cbrt.f64 (fma.f64 x (+.f64 x 2) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 y (sqrt.f64 (*.f64 x (+.f64 x 2)))) (hypot.f64 y (sqrt.f64 (*.f64 x (+.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 3) (pow.f64 y 6)) (/.f64 1 (fma.f64 (*.f64 y y) (-.f64 (*.f64 y y) (*.f64 x (+.f64 x 2))) (pow.f64 (*.f64 x (+.f64 x 2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 3) (pow.f64 y 6)) (pow.f64 (/.f64 1 (fma.f64 (*.f64 y y) (-.f64 (*.f64 y y) (*.f64 x (+.f64 x 2))) (pow.f64 (*.f64 x (+.f64 x 2)) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 2) (pow.f64 y 4)) (/.f64 1 (fma.f64 x (+.f64 x 2) (*.f64 (neg.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 2) (pow.f64 y 4)) (pow.f64 (/.f64 1 (fma.f64 x (+.f64 x 2) (*.f64 (neg.f64 y) y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (fma.f64 x (+.f64 x 2) (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x (+.f64 x 2) (*.f64 y y)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x (+.f64 x 2) (*.f64 y y)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (fma.f64 x (+.f64 x 2) (*.f64 y y)) (cbrt.f64 (fma.f64 x (+.f64 x 2) (*.f64 y y)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 x (+.f64 x 2) (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (fma.f64 x (+.f64 x 2) (*.f64 y y)) 5/2) 1/3) (cbrt.f64 (hypot.f64 y (sqrt.f64 (*.f64 x (+.f64 x 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (+.f64 x 2) (*.f64 y y)))) 2) 3) (cbrt.f64 (fma.f64 x (+.f64 x 2) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x (+.f64 x 2) (*.f64 y y)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x (+.f64 x 2) (*.f64 y y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (*.f64 y y) (-.f64 (*.f64 y y) (*.f64 x (+.f64 x 2))) (pow.f64 (*.f64 x (+.f64 x 2)) 2)) (+.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 3) (pow.f64 y 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x (+.f64 x 2) (*.f64 (neg.f64 y) y)) (-.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 2) (pow.f64 y 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 3) (pow.f64 y 6)) (fma.f64 (*.f64 y y) (-.f64 (*.f64 y y) (*.f64 x (+.f64 x 2))) (pow.f64 (*.f64 x (+.f64 x 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 3) (pow.f64 y 6)) (+.f64 (pow.f64 y 4) (-.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 2) (*.f64 x (*.f64 (+.f64 x 2) (*.f64 y y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 2) (pow.f64 y 4)) (fma.f64 x (+.f64 x 2) (*.f64 (neg.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 3) (pow.f64 y 6))) (neg.f64 (fma.f64 (*.f64 y y) (-.f64 (*.f64 y y) (*.f64 x (+.f64 x 2))) (pow.f64 (*.f64 x (+.f64 x 2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 2) (pow.f64 y 4))) (neg.f64 (fma.f64 x (+.f64 x 2) (*.f64 (neg.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 y 4) (pow.f64 (*.f64 x (+.f64 x 2)) 2)) (-.f64 (*.f64 y y) (*.f64 x (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x (+.f64 x 2) (*.f64 y y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (+.f64 x 2) (*.f64 y y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (+.f64 x 2) (*.f64 y y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x (+.f64 x 2) (*.f64 y y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 y (sqrt.f64 (*.f64 x (+.f64 x 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (fma.f64 x (+.f64 x 2) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (*.f64 y y) (-.f64 (*.f64 y y) (*.f64 x (+.f64 x 2))) (pow.f64 (*.f64 x (+.f64 x 2)) 2)) (+.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 3) (pow.f64 y 6))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x (+.f64 x 2) (*.f64 (neg.f64 y) y)) (-.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 2) (pow.f64 y 4))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x (+.f64 x 2) (*.f64 y y)))) 2)) (cbrt.f64 (log.f64 (fma.f64 x (+.f64 x 2) (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 x (+.f64 x 2) (*.f64 y y))))) (sqrt.f64 (log.f64 (fma.f64 x (+.f64 x 2) (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x (+.f64 x 2) (*.f64 y y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x (+.f64 x 2) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (+.f64 x 2) (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 x 2)))) (pow.f64 (exp.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 x) (+.f64 x 2)) (+.f64 1 (expm1.f64 (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 x 2)))) (+.f64 1 (expm1.f64 (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 y y))) (pow.f64 (exp.f64 x) (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 y) y) (+.f64 1 (expm1.f64 (*.f64 x (+.f64 x 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 y y))) (+.f64 1 (expm1.f64 (*.f64 x (+.f64 x 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (+.f64 x 2) (*.f64 y y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (+.f64 x 2) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x (+.f64 x 2) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x (+.f64 x 2) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x (+.f64 x 2) (*.f64 y y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 x (+.f64 x 2) (*.f64 y y)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x (+.f64 x 2) (*.f64 y y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (hypot.f64 y (sqrt.f64 (*.f64 x (+.f64 x 2))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x (+.f64 x 2) (*.f64 y y))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 2 (fma.f64 x x (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (+.f64 x 2) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 x (fma.f64 x x (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x 2) x (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (+.f64 x 2)) 1 (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y y (*.f64 x (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y y) 1 (*.f64 x (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x (+.f64 x 2)) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 y y) (*.f64 x (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x 2) (fma.f64 x x (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 2) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 2) (cbrt.f64 (*.f64 x (+.f64 x 2))) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (+.f64 x 2)) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 2) (fma.f64 x x (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) y) (*.f64 x (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 y) y) (pow.f64 (cbrt.f64 y) 2) (*.f64 x (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 2)) 2) (*.f64 (cbrt.f64 (+.f64 x 2)) x) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x (+.f64 x 2))) (sqrt.f64 (*.f64 x (+.f64 x 2))) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (+.f64 x 2)) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 2) (fma.f64 x x (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (pow.f64 y 3/2) (*.f64 x (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x 2)) (*.f64 (sqrt.f64 (+.f64 x 2)) x) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 2)) 2) (cbrt.f64 (*.f64 x 2)) (fma.f64 x x (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x 2)) (sqrt.f64 (*.f64 x 2)) (fma.f64 x x (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 y 3/2) (sqrt.f64 y) (*.f64 x (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (+.f64 x 2)) 2)) (cbrt.f64 (+.f64 x 2)) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 (+.f64 x 2))) (sqrt.f64 (+.f64 x 2)) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 x 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 x 2) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (fma.f64 x x (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 x x (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 5) (cbrt.f64 y) (*.f64 x (+.f64 x 2)))))))

simplify68.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

661×	`unswap-sqr_binary64`
345×	`times-frac_binary64`
265×	`cancel-sign-sub-inv_binary64`
220×	`associate-/l*_binary64`
220×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	327	2403
1	808	2272
2	2377	2250

Stop Event

1×	node limit

Counts

172 → 180

Calls

Call 1

Inputs
(*.f64 2 x)
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(pow.f64 y 2)
(+.f64 (*.f64 2 x) (pow.f64 y 2))
(+.f64 (*.f64 2 x) (+.f64 (pow.f64 y 2) (pow.f64 x 2)))
(+.f64 (*.f64 2 x) (+.f64 (pow.f64 y 2) (pow.f64 x 2)))
(pow.f64 x 2)
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(+.f64 (*.f64 2 x) (+.f64 (pow.f64 y 2) (pow.f64 x 2)))
(+.f64 (*.f64 2 x) (+.f64 (pow.f64 y 2) (pow.f64 x 2)))
(pow.f64 x 2)
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(+.f64 (*.f64 2 x) (+.f64 (pow.f64 y 2) (pow.f64 x 2)))
(+.f64 (*.f64 2 x) (+.f64 (pow.f64 y 2) (pow.f64 x 2)))
(*.f64 (+.f64 2 x) x)
(+.f64 (pow.f64 y 2) (*.f64 (+.f64 2 x) x))
(+.f64 (pow.f64 y 2) (*.f64 (+.f64 2 x) x))
(+.f64 (pow.f64 y 2) (*.f64 (+.f64 2 x) x))
(pow.f64 y 2)
(+.f64 (pow.f64 y 2) (*.f64 (+.f64 2 x) x))
(+.f64 (pow.f64 y 2) (*.f64 (+.f64 2 x) x))
(+.f64 (pow.f64 y 2) (*.f64 (+.f64 2 x) x))
(pow.f64 y 2)
(+.f64 (pow.f64 y 2) (*.f64 (+.f64 2 x) x))
(+.f64 (pow.f64 y 2) (*.f64 (+.f64 2 x) x))
(+.f64 (pow.f64 y 2) (*.f64 (+.f64 2 x) x))
(+.f64 (.f64 x x) (.f64 x 2))
(+.f64 (.f64 x 2) (.f64 x x))
(+.f64 0 (*.f64 x (+.f64 x 2)))
(+.f64 (.f64 (.f64 x 2) 1) (*.f64 x x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 x 2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 x 2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 x 2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 x 2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 x 2)))) 1)
(/.f64 (+.f64 (.f64 8 (pow.f64 x 3)) (pow.f64 x 6)) (+.f64 (pow.f64 (.f64 x 2) 2) (-.f64 (pow.f64 x 4) (.f64 (.f64 x 2) (*.f64 x x)))))
(/.f64 (-.f64 (pow.f64 (.f64 x 2) 2) (pow.f64 x 4)) (-.f64 (.f64 x 2) (*.f64 x x)))
(/.f64 (*.f64 (+.f64 8 (pow.f64 x 3)) x) (fma.f64 x (-.f64 x 2) 4))
(/.f64 (.f64 (-.f64 4 (.f64 x x)) x) (-.f64 2 x))
(/.f64 (*.f64 x (+.f64 8 (pow.f64 x 3))) (fma.f64 x (-.f64 x 2) 4))
(/.f64 (.f64 x (-.f64 4 (.f64 x x))) (-.f64 2 x))
(pow.f64 (*.f64 x (+.f64 x 2)) 1)
(pow.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 2) 1/2)
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 3)
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 x 2))) 2)
(pow.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 3) 1/3)
(pow.f64 (exp.f64 1) (log.f64 (*.f64 x (+.f64 x 2))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (+.f64 x 2)))) 2)) (cbrt.f64 (log.f64 (.f64 x (+.f64 x 2)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 x (+.f64 x 2))))) (sqrt.f64 (log.f64 (.f64 x (+.f64 x 2)))))
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 2))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 x 2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 x 2)))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 x 2))))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 x 2))))
(exp.f64 (log.f64 (*.f64 x (+.f64 x 2))))
(exp.f64 (.f64 (log.f64 (.f64 x (+.f64 x 2))) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (+.f64 x 2)))) 3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (+.f64 x 2)))) 2))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 x (+.f64 x 2)))) 1/3))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (+.f64 x 2))) 1) 1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (+.f64 x 2))) 3) 1/3))
(fma.f64 x x (*.f64 x 2))
(fma.f64 x 2 (*.f64 x x))
(fma.f64 2 x (*.f64 x x))
(fma.f64 1 (.f64 x x) (.f64 x 2))
(fma.f64 1 (.f64 x 2) (.f64 x x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) x) (.f64 x 2))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) 2) (.f64 x x))
(fma.f64 (sqrt.f64 x) (pow.f64 x 3/2) (*.f64 x 2))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) 2) (.f64 x x))
(fma.f64 (.f64 x 2) 1 (.f64 x x))
(fma.f64 (.f64 (cbrt.f64 x) x) (pow.f64 (cbrt.f64 x) 2) (.f64 x 2))
(fma.f64 (pow.f64 x 3/2) (sqrt.f64 x) (*.f64 x 2))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 2)) 2) (cbrt.f64 (.f64 x 2)) (*.f64 x x))
(fma.f64 (sqrt.f64 (.f64 x 2)) (sqrt.f64 (.f64 x 2)) (*.f64 x x))
(fma.f64 (pow.f64 (cbrt.f64 x) 5) (cbrt.f64 x) (*.f64 x 2))
(fma.f64 (.f64 2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 x x))
(fma.f64 (.f64 2 (sqrt.f64 x)) (sqrt.f64 x) (.f64 x x))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (+.f64 x 2) (*.f64 y y)))) 1)
(-.f64 (/.f64 (pow.f64 (.f64 x (+.f64 x 2)) 2) (fma.f64 x (+.f64 x 2) (.f64 (neg.f64 y) y))) (/.f64 (pow.f64 y 4) (fma.f64 x (+.f64 x 2) (*.f64 (neg.f64 y) y))))
(.f64 (fma.f64 x (+.f64 x 2) (.f64 y y)) 1)
(.f64 1 (fma.f64 x (+.f64 x 2) (.f64 y y)))
(.f64 (cbrt.f64 (fma.f64 x (+.f64 x 2) (.f64 y y))) (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 x 2) (*.f64 y y))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 x 2) (.f64 y y))) 2) (cbrt.f64 (fma.f64 x (+.f64 x 2) (*.f64 y y))))
(.f64 (hypot.f64 y (sqrt.f64 (.f64 x (+.f64 x 2)))) (hypot.f64 y (sqrt.f64 (*.f64 x (+.f64 x 2)))))
(.f64 (+.f64 (pow.f64 (.f64 x (+.f64 x 2)) 3) (pow.f64 y 6)) (/.f64 1 (fma.f64 (.f64 y y) (-.f64 (.f64 y y) (.f64 x (+.f64 x 2))) (pow.f64 (.f64 x (+.f64 x 2)) 2))))
(.f64 (+.f64 (pow.f64 (.f64 x (+.f64 x 2)) 3) (pow.f64 y 6)) (pow.f64 (/.f64 1 (fma.f64 (.f64 y y) (-.f64 (.f64 y y) (.f64 x (+.f64 x 2))) (pow.f64 (.f64 x (+.f64 x 2)) 2))) 1))
(.f64 (-.f64 (pow.f64 (.f64 x (+.f64 x 2)) 2) (pow.f64 y 4)) (/.f64 1 (fma.f64 x (+.f64 x 2) (*.f64 (neg.f64 y) y))))
(.f64 (-.f64 (pow.f64 (.f64 x (+.f64 x 2)) 2) (pow.f64 y 4)) (pow.f64 (/.f64 1 (fma.f64 x (+.f64 x 2) (*.f64 (neg.f64 y) y))) 1))
(.f64 (pow.f64 1 1/3) (fma.f64 x (+.f64 x 2) (.f64 y y)))
(.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x (+.f64 x 2) (.f64 y y)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x (+.f64 x 2) (*.f64 y y)) 3)) 1/3))
(.f64 (pow.f64 (pow.f64 (.f64 (fma.f64 x (+.f64 x 2) (.f64 y y)) (cbrt.f64 (fma.f64 x (+.f64 x 2) (.f64 y y)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 x (+.f64 x 2) (*.f64 y y)))))
(.f64 (pow.f64 (pow.f64 (fma.f64 x (+.f64 x 2) (.f64 y y)) 5/2) 1/3) (cbrt.f64 (hypot.f64 y (sqrt.f64 (*.f64 x (+.f64 x 2))))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (+.f64 x 2) (.f64 y y)))) 2) 3) (cbrt.f64 (fma.f64 x (+.f64 x 2) (*.f64 y y))))
(.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x (+.f64 x 2) (.f64 y y)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x (+.f64 x 2) (*.f64 y y)))) 3))
(/.f64 1 (/.f64 (fma.f64 (.f64 y y) (-.f64 (.f64 y y) (.f64 x (+.f64 x 2))) (pow.f64 (.f64 x (+.f64 x 2)) 2)) (+.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 3) (pow.f64 y 6))))
(/.f64 1 (/.f64 (fma.f64 x (+.f64 x 2) (.f64 (neg.f64 y) y)) (-.f64 (pow.f64 (.f64 x (+.f64 x 2)) 2) (pow.f64 y 4))))
(/.f64 (+.f64 (pow.f64 (.f64 x (+.f64 x 2)) 3) (pow.f64 y 6)) (fma.f64 (.f64 y y) (-.f64 (.f64 y y) (.f64 x (+.f64 x 2))) (pow.f64 (*.f64 x (+.f64 x 2)) 2)))
(/.f64 (+.f64 (pow.f64 (.f64 x (+.f64 x 2)) 3) (pow.f64 y 6)) (+.f64 (pow.f64 y 4) (-.f64 (pow.f64 (.f64 x (+.f64 x 2)) 2) (.f64 x (.f64 (+.f64 x 2) (*.f64 y y))))))
(/.f64 (-.f64 (pow.f64 (.f64 x (+.f64 x 2)) 2) (pow.f64 y 4)) (fma.f64 x (+.f64 x 2) (.f64 (neg.f64 y) y)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 x (+.f64 x 2)) 3) (pow.f64 y 6))) (neg.f64 (fma.f64 (.f64 y y) (-.f64 (.f64 y y) (.f64 x (+.f64 x 2))) (pow.f64 (*.f64 x (+.f64 x 2)) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 x (+.f64 x 2)) 2) (pow.f64 y 4))) (neg.f64 (fma.f64 x (+.f64 x 2) (.f64 (neg.f64 y) y))))
(/.f64 (-.f64 (pow.f64 y 4) (pow.f64 (.f64 x (+.f64 x 2)) 2)) (-.f64 (.f64 y y) (*.f64 x (+.f64 x 2))))
(pow.f64 (fma.f64 x (+.f64 x 2) (*.f64 y y)) 1)
(pow.f64 (pow.f64 (fma.f64 x (+.f64 x 2) (*.f64 y y)) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 x (+.f64 x 2) (*.f64 y y)) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 x (+.f64 x 2) (*.f64 y y))) 3)
(pow.f64 (hypot.f64 y (sqrt.f64 (*.f64 x (+.f64 x 2)))) 2)
(pow.f64 (exp.f64 1) (log.f64 (fma.f64 x (+.f64 x 2) (*.f64 y y))))
(pow.f64 (/.f64 (fma.f64 (.f64 y y) (-.f64 (.f64 y y) (.f64 x (+.f64 x 2))) (pow.f64 (.f64 x (+.f64 x 2)) 2)) (+.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 3) (pow.f64 y 6))) -1)
(pow.f64 (/.f64 (fma.f64 x (+.f64 x 2) (.f64 (neg.f64 y) y)) (-.f64 (pow.f64 (.f64 x (+.f64 x 2)) 2) (pow.f64 y 4))) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x (+.f64 x 2) (.f64 y y)))) 2)) (cbrt.f64 (log.f64 (fma.f64 x (+.f64 x 2) (.f64 y y)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 x (+.f64 x 2) (.f64 y y))))) (sqrt.f64 (log.f64 (fma.f64 x (+.f64 x 2) (.f64 y y)))))
(sqrt.f64 (pow.f64 (fma.f64 x (+.f64 x 2) (*.f64 y y)) 2))
(log.f64 (exp.f64 (fma.f64 x (+.f64 x 2) (*.f64 y y))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (+.f64 x 2) (*.f64 y y)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x (+.f64 x 2)))) (pow.f64 (exp.f64 y) y)))
(log.f64 (.f64 (pow.f64 (exp.f64 x) (+.f64 x 2)) (+.f64 1 (expm1.f64 (.f64 y y)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x (+.f64 x 2)))) (+.f64 1 (expm1.f64 (*.f64 y y)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 y y))) (pow.f64 (exp.f64 x) (+.f64 x 2))))
(log.f64 (.f64 (pow.f64 (exp.f64 y) y) (+.f64 1 (expm1.f64 (.f64 x (+.f64 x 2))))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 y y))) (+.f64 1 (expm1.f64 (*.f64 x (+.f64 x 2))))))
(cbrt.f64 (pow.f64 (fma.f64 x (+.f64 x 2) (*.f64 y y)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (+.f64 x 2) (*.f64 y y))))
(log1p.f64 (expm1.f64 (fma.f64 x (+.f64 x 2) (*.f64 y y))))
(exp.f64 (log.f64 (fma.f64 x (+.f64 x 2) (*.f64 y y))))
(exp.f64 (.f64 (log.f64 (fma.f64 x (+.f64 x 2) (.f64 y y))) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 x (+.f64 x 2) (*.f64 y y)))) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 x (+.f64 x 2) (.f64 y y)))) 3))
(exp.f64 (.f64 (log.f64 (hypot.f64 y (sqrt.f64 (.f64 x (+.f64 x 2))))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 x (+.f64 x 2) (*.f64 y y))) 1) 1))
(fma.f64 x 2 (fma.f64 x x (*.f64 y y)))
(fma.f64 x (+.f64 x 2) (*.f64 y y))
(fma.f64 2 x (fma.f64 x x (*.f64 y y)))
(fma.f64 (+.f64 x 2) x (*.f64 y y))
(fma.f64 (.f64 x (+.f64 x 2)) 1 (.f64 y y))
(fma.f64 y y (*.f64 x (+.f64 x 2)))
(fma.f64 (.f64 y y) 1 (.f64 x (+.f64 x 2)))
(fma.f64 1 (.f64 x (+.f64 x 2)) (.f64 y y))
(fma.f64 1 (.f64 y y) (.f64 x (+.f64 x 2)))
(fma.f64 1 (.f64 x 2) (fma.f64 x x (.f64 y y)))
(fma.f64 (cbrt.f64 (.f64 x (+.f64 x 2))) (pow.f64 (cbrt.f64 (.f64 x (+.f64 x 2))) 2) (*.f64 y y))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 x 2))) 2) (cbrt.f64 (.f64 x (+.f64 x 2))) (*.f64 y y))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (+.f64 x 2)) (.f64 y y))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) 2) (fma.f64 x x (.f64 y y)))
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 (cbrt.f64 y) y) (.f64 x (+.f64 x 2)))
(fma.f64 (.f64 (cbrt.f64 y) y) (pow.f64 (cbrt.f64 y) 2) (.f64 x (+.f64 x 2)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 2)) 2) (.f64 (cbrt.f64 (+.f64 x 2)) x) (.f64 y y))
(fma.f64 (sqrt.f64 (.f64 x (+.f64 x 2))) (sqrt.f64 (.f64 x (+.f64 x 2))) (*.f64 y y))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (+.f64 x 2)) (.f64 y y))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) 2) (fma.f64 x x (.f64 y y)))
(fma.f64 (sqrt.f64 y) (pow.f64 y 3/2) (*.f64 x (+.f64 x 2)))
(fma.f64 (sqrt.f64 (+.f64 x 2)) (.f64 (sqrt.f64 (+.f64 x 2)) x) (.f64 y y))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 2)) 2) (cbrt.f64 (.f64 x 2)) (fma.f64 x x (*.f64 y y)))
(fma.f64 (sqrt.f64 (.f64 x 2)) (sqrt.f64 (.f64 x 2)) (fma.f64 x x (*.f64 y y)))
(fma.f64 (pow.f64 y 3/2) (sqrt.f64 y) (*.f64 x (+.f64 x 2)))
(fma.f64 (.f64 x (pow.f64 (cbrt.f64 (+.f64 x 2)) 2)) (cbrt.f64 (+.f64 x 2)) (.f64 y y))
(fma.f64 (.f64 x (sqrt.f64 (+.f64 x 2))) (sqrt.f64 (+.f64 x 2)) (.f64 y y))
(fma.f64 (.f64 (+.f64 x 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 y y))
(fma.f64 (.f64 (+.f64 x 2) (sqrt.f64 x)) (sqrt.f64 x) (.f64 y y))
(fma.f64 (.f64 2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (fma.f64 x x (.f64 y y)))
(fma.f64 (.f64 2 (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 x x (.f64 y y)))
(fma.f64 (pow.f64 (cbrt.f64 y) 5) (cbrt.f64 y) (*.f64 x (+.f64 x 2)))

Outputs
(*.f64 2 x)
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(*.f64 x (+.f64 2 x))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(*.f64 x (+.f64 2 x))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(*.f64 x (+.f64 2 x))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(*.f64 x (+.f64 2 x))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(*.f64 x (+.f64 2 x))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(*.f64 x (+.f64 2 x))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(*.f64 x (+.f64 2 x))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(*.f64 x (+.f64 2 x))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(*.f64 x (+.f64 2 x))
(pow.f64 y 2)
(*.f64 y y)
(+.f64 (*.f64 2 x) (pow.f64 y 2))
(fma.f64 2 x (*.f64 y y))
(fma.f64 y y (*.f64 2 x))
(+.f64 (*.f64 2 x) (+.f64 (pow.f64 y 2) (pow.f64 x 2)))
(fma.f64 2 x (fma.f64 x x (*.f64 y y)))
(fma.f64 x (+.f64 2 x) (*.f64 y y))
(+.f64 (*.f64 2 x) (+.f64 (pow.f64 y 2) (pow.f64 x 2)))
(fma.f64 2 x (fma.f64 x x (*.f64 y y)))
(fma.f64 x (+.f64 2 x) (*.f64 y y))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(*.f64 x (+.f64 2 x))
(+.f64 (*.f64 2 x) (+.f64 (pow.f64 y 2) (pow.f64 x 2)))
(fma.f64 2 x (fma.f64 x x (*.f64 y y)))
(fma.f64 x (+.f64 2 x) (*.f64 y y))
(+.f64 (*.f64 2 x) (+.f64 (pow.f64 y 2) (pow.f64 x 2)))
(fma.f64 2 x (fma.f64 x x (*.f64 y y)))
(fma.f64 x (+.f64 2 x) (*.f64 y y))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(*.f64 x (+.f64 2 x))
(+.f64 (*.f64 2 x) (+.f64 (pow.f64 y 2) (pow.f64 x 2)))
(fma.f64 2 x (fma.f64 x x (*.f64 y y)))
(fma.f64 x (+.f64 2 x) (*.f64 y y))
(+.f64 (*.f64 2 x) (+.f64 (pow.f64 y 2) (pow.f64 x 2)))
(fma.f64 2 x (fma.f64 x x (*.f64 y y)))
(fma.f64 x (+.f64 2 x) (*.f64 y y))
(*.f64 (+.f64 2 x) x)
(*.f64 x (+.f64 2 x))
(+.f64 (pow.f64 y 2) (*.f64 (+.f64 2 x) x))
(fma.f64 2 x (fma.f64 x x (*.f64 y y)))
(fma.f64 x (+.f64 2 x) (*.f64 y y))
(+.f64 (pow.f64 y 2) (*.f64 (+.f64 2 x) x))
(fma.f64 2 x (fma.f64 x x (*.f64 y y)))
(fma.f64 x (+.f64 2 x) (*.f64 y y))
(+.f64 (pow.f64 y 2) (*.f64 (+.f64 2 x) x))
(fma.f64 2 x (fma.f64 x x (*.f64 y y)))
(fma.f64 x (+.f64 2 x) (*.f64 y y))
(pow.f64 y 2)
(*.f64 y y)
(+.f64 (pow.f64 y 2) (*.f64 (+.f64 2 x) x))
(fma.f64 2 x (fma.f64 x x (*.f64 y y)))
(fma.f64 x (+.f64 2 x) (*.f64 y y))
(+.f64 (pow.f64 y 2) (*.f64 (+.f64 2 x) x))
(fma.f64 2 x (fma.f64 x x (*.f64 y y)))
(fma.f64 x (+.f64 2 x) (*.f64 y y))
(+.f64 (pow.f64 y 2) (*.f64 (+.f64 2 x) x))
(fma.f64 2 x (fma.f64 x x (*.f64 y y)))
(fma.f64 x (+.f64 2 x) (*.f64 y y))
(pow.f64 y 2)
(*.f64 y y)
(+.f64 (pow.f64 y 2) (*.f64 (+.f64 2 x) x))
(fma.f64 2 x (fma.f64 x x (*.f64 y y)))
(fma.f64 x (+.f64 2 x) (*.f64 y y))
(+.f64 (pow.f64 y 2) (*.f64 (+.f64 2 x) x))
(fma.f64 2 x (fma.f64 x x (*.f64 y y)))
(fma.f64 x (+.f64 2 x) (*.f64 y y))
(+.f64 (pow.f64 y 2) (*.f64 (+.f64 2 x) x))
(fma.f64 2 x (fma.f64 x x (*.f64 y y)))
(fma.f64 x (+.f64 2 x) (*.f64 y y))
(+.f64 (.f64 x x) (.f64 x 2))
(*.f64 x (+.f64 2 x))
(+.f64 (.f64 x 2) (.f64 x x))
(*.f64 x (+.f64 2 x))
(+.f64 0 (*.f64 x (+.f64 x 2)))
(*.f64 x (+.f64 2 x))
(+.f64 (.f64 (.f64 x 2) 1) (*.f64 x x))
(*.f64 x (+.f64 2 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 x 2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 x 2)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 2 x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 2 x)))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 2 x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 x 2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 x 2)))))
(*.f64 x (+.f64 2 x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 x 2)))) 1)
(*.f64 x (+.f64 2 x))
(/.f64 (+.f64 (.f64 8 (pow.f64 x 3)) (pow.f64 x 6)) (+.f64 (pow.f64 (.f64 x 2) 2) (-.f64 (pow.f64 x 4) (.f64 (.f64 x 2) (*.f64 x x)))))
(/.f64 (fma.f64 8 (pow.f64 x 3) (pow.f64 x 6)) (-.f64 (+.f64 (pow.f64 (.f64 2 x) 2) (pow.f64 x 4)) (.f64 x (.f64 2 (.f64 x x)))))
(/.f64 (fma.f64 8 (pow.f64 x 3) (pow.f64 x 6)) (+.f64 (.f64 (.f64 x x) 4) (-.f64 (pow.f64 x 4) (*.f64 2 (pow.f64 x 3)))))
(/.f64 (fma.f64 8 (pow.f64 x 3) (pow.f64 x 6)) (.f64 (.f64 x x) (fma.f64 x (+.f64 x -2) 4)))
(/.f64 (-.f64 (pow.f64 (.f64 x 2) 2) (pow.f64 x 4)) (-.f64 (.f64 x 2) (*.f64 x x)))
(/.f64 (-.f64 (pow.f64 (.f64 2 x) 2) (pow.f64 x 4)) (.f64 x (-.f64 2 x)))
(/.f64 (-.f64 (.f64 (.f64 x x) 4) (pow.f64 x 4)) (*.f64 x (-.f64 2 x)))
(/.f64 (*.f64 (+.f64 8 (pow.f64 x 3)) x) (fma.f64 x (-.f64 x 2) 4))
(/.f64 x (/.f64 (fma.f64 x (+.f64 x -2) 4) (+.f64 8 (pow.f64 x 3))))
(/.f64 (fma.f64 x 8 (pow.f64 x 4)) (fma.f64 x (+.f64 x -2) 4))
(/.f64 (.f64 (-.f64 4 (.f64 x x)) x) (-.f64 2 x))
(/.f64 x (/.f64 (-.f64 2 x) (-.f64 4 (*.f64 x x))))
(.f64 (/.f64 x (-.f64 2 x)) (-.f64 4 (.f64 x x)))
(/.f64 (*.f64 x (+.f64 8 (pow.f64 x 3))) (fma.f64 x (-.f64 x 2) 4))
(/.f64 x (/.f64 (fma.f64 x (+.f64 x -2) 4) (+.f64 8 (pow.f64 x 3))))
(/.f64 (fma.f64 x 8 (pow.f64 x 4)) (fma.f64 x (+.f64 x -2) 4))
(/.f64 (.f64 x (-.f64 4 (.f64 x x))) (-.f64 2 x))
(/.f64 x (/.f64 (-.f64 2 x) (-.f64 4 (*.f64 x x))))
(.f64 (/.f64 x (-.f64 2 x)) (-.f64 4 (.f64 x x)))
(pow.f64 (*.f64 x (+.f64 x 2)) 1)
(*.f64 x (+.f64 2 x))
(pow.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 2) 1/2)
(*.f64 x (+.f64 2 x))
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 3)
(*.f64 x (+.f64 2 x))
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 x 2))) 2)
(*.f64 x (+.f64 2 x))
(pow.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 3) 1/3)
(*.f64 x (+.f64 2 x))
(pow.f64 (exp.f64 1) (log.f64 (*.f64 x (+.f64 x 2))))
(*.f64 x (+.f64 2 x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (+.f64 x 2)))) 2)) (cbrt.f64 (log.f64 (.f64 x (+.f64 x 2)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (+.f64 2 x)))) 2)) (cbrt.f64 (log.f64 (.f64 x (+.f64 2 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 x (+.f64 x 2))))) (sqrt.f64 (log.f64 (.f64 x (+.f64 x 2)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 x (+.f64 2 x))))) (sqrt.f64 (log.f64 (.f64 x (+.f64 2 x)))))
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 2))
(*.f64 x (+.f64 2 x))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 x 2)))
(*.f64 x (+.f64 2 x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 x 2)))))
(*.f64 x (+.f64 2 x))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 3))
(*.f64 x (+.f64 2 x))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 x 2))))
(*.f64 x (+.f64 2 x))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 x 2))))
(*.f64 x (+.f64 2 x))
(exp.f64 (log.f64 (*.f64 x (+.f64 x 2))))
(*.f64 x (+.f64 2 x))
(exp.f64 (.f64 (log.f64 (.f64 x (+.f64 x 2))) 1))
(*.f64 x (+.f64 2 x))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (+.f64 x 2)))) 3))
(*.f64 x (+.f64 2 x))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (+.f64 x 2)))) 2))
(*.f64 x (+.f64 2 x))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 x (+.f64 x 2)))) 1/3))
(*.f64 x (+.f64 2 x))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (+.f64 x 2))) 1) 1))
(*.f64 x (+.f64 2 x))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (+.f64 x 2))) 3) 1/3))
(*.f64 x (+.f64 2 x))
(fma.f64 x x (*.f64 x 2))
(*.f64 x (+.f64 2 x))
(fma.f64 x 2 (*.f64 x x))
(*.f64 x (+.f64 2 x))
(fma.f64 2 x (*.f64 x x))
(*.f64 x (+.f64 2 x))
(fma.f64 1 (.f64 x x) (.f64 x 2))
(*.f64 x (+.f64 2 x))
(fma.f64 1 (.f64 x 2) (.f64 x x))
(*.f64 x (+.f64 2 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) x) (.f64 x 2))
(*.f64 x (+.f64 2 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) 2) (.f64 x x))
(*.f64 x (+.f64 2 x))
(fma.f64 (sqrt.f64 x) (pow.f64 x 3/2) (*.f64 x 2))
(fma.f64 (sqrt.f64 x) (pow.f64 x 3/2) (*.f64 2 x))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) 2) (.f64 x x))
(*.f64 x (+.f64 2 x))
(fma.f64 (.f64 x 2) 1 (.f64 x x))
(*.f64 x (+.f64 2 x))
(fma.f64 (.f64 (cbrt.f64 x) x) (pow.f64 (cbrt.f64 x) 2) (.f64 x 2))
(*.f64 x (+.f64 2 x))
(fma.f64 (pow.f64 x 3/2) (sqrt.f64 x) (*.f64 x 2))
(fma.f64 (sqrt.f64 x) (pow.f64 x 3/2) (*.f64 2 x))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 2)) 2) (cbrt.f64 (.f64 x 2)) (*.f64 x x))
(*.f64 x (+.f64 2 x))
(fma.f64 (sqrt.f64 (.f64 x 2)) (sqrt.f64 (.f64 x 2)) (*.f64 x x))
(*.f64 x (+.f64 2 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 5) (cbrt.f64 x) (*.f64 x 2))
(*.f64 x (+.f64 2 x))
(fma.f64 (.f64 2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 x x))
(*.f64 x (+.f64 2 x))
(fma.f64 (.f64 2 (sqrt.f64 x)) (sqrt.f64 x) (.f64 x x))
(*.f64 x (+.f64 2 x))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (+.f64 x 2) (*.f64 y y)))) 1)
(fma.f64 2 x (fma.f64 x x (*.f64 y y)))
(fma.f64 x (+.f64 2 x) (*.f64 y y))
(-.f64 (/.f64 (pow.f64 (.f64 x (+.f64 x 2)) 2) (fma.f64 x (+.f64 x 2) (.f64 (neg.f64 y) y))) (/.f64 (pow.f64 y 4) (fma.f64 x (+.f64 x 2) (*.f64 (neg.f64 y) y))))
(/.f64 (-.f64 (pow.f64 (.f64 x (+.f64 2 x)) 2) (pow.f64 y 4)) (fma.f64 x (+.f64 2 x) (.f64 y (neg.f64 y))))
(/.f64 (-.f64 (pow.f64 (.f64 x (+.f64 2 x)) 2) (pow.f64 y 4)) (-.f64 (.f64 x (+.f64 2 x)) (*.f64 y y)))
(.f64 (fma.f64 x (+.f64 x 2) (.f64 y y)) 1)
(fma.f64 2 x (fma.f64 x x (*.f64 y y)))
(fma.f64 x (+.f64 2 x) (*.f64 y y))
(.f64 1 (fma.f64 x (+.f64 x 2) (.f64 y y)))
(fma.f64 2 x (fma.f64 x x (*.f64 y y)))
(fma.f64 x (+.f64 2 x) (*.f64 y y))
(.f64 (cbrt.f64 (fma.f64 x (+.f64 x 2) (.f64 y y))) (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 x 2) (*.f64 y y))) 2))
(fma.f64 2 x (fma.f64 x x (*.f64 y y)))
(fma.f64 x (+.f64 2 x) (*.f64 y y))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 x 2) (.f64 y y))) 2) (cbrt.f64 (fma.f64 x (+.f64 x 2) (*.f64 y y))))
(fma.f64 2 x (fma.f64 x x (*.f64 y y)))
(fma.f64 x (+.f64 2 x) (*.f64 y y))
(.f64 (hypot.f64 y (sqrt.f64 (.f64 x (+.f64 x 2)))) (hypot.f64 y (sqrt.f64 (*.f64 x (+.f64 x 2)))))
(fma.f64 2 x (fma.f64 x x (*.f64 y y)))
(fma.f64 x (+.f64 2 x) (*.f64 y y))
(.f64 (+.f64 (pow.f64 (.f64 x (+.f64 x 2)) 3) (pow.f64 y 6)) (/.f64 1 (fma.f64 (.f64 y y) (-.f64 (.f64 y y) (.f64 x (+.f64 x 2))) (pow.f64 (.f64 x (+.f64 x 2)) 2))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 x (+.f64 2 x)) 3) (pow.f64 y 6)) 1) (fma.f64 (.f64 y y) (-.f64 (.f64 y y) (.f64 x (+.f64 2 x))) (pow.f64 (.f64 x (+.f64 2 x)) 2)))
(/.f64 (+.f64 (pow.f64 (.f64 x (+.f64 2 x)) 3) (pow.f64 y 6)) (fma.f64 (.f64 y y) (-.f64 (.f64 y y) (.f64 x (+.f64 2 x))) (pow.f64 (*.f64 x (+.f64 2 x)) 2)))
(/.f64 (+.f64 (pow.f64 (.f64 x (+.f64 2 x)) 3) (pow.f64 y 6)) (+.f64 (pow.f64 y 4) (.f64 (.f64 x (+.f64 2 x)) (-.f64 (.f64 x (+.f64 2 x)) (*.f64 y y)))))
(.f64 (+.f64 (pow.f64 (.f64 x (+.f64 x 2)) 3) (pow.f64 y 6)) (pow.f64 (/.f64 1 (fma.f64 (.f64 y y) (-.f64 (.f64 y y) (.f64 x (+.f64 x 2))) (pow.f64 (.f64 x (+.f64 x 2)) 2))) 1))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 x (+.f64 2 x)) 3) (pow.f64 y 6)) 1) (fma.f64 (.f64 y y) (-.f64 (.f64 y y) (.f64 x (+.f64 2 x))) (pow.f64 (.f64 x (+.f64 2 x)) 2)))
(/.f64 (+.f64 (pow.f64 (.f64 x (+.f64 2 x)) 3) (pow.f64 y 6)) (fma.f64 (.f64 y y) (-.f64 (.f64 y y) (.f64 x (+.f64 2 x))) (pow.f64 (*.f64 x (+.f64 2 x)) 2)))
(/.f64 (+.f64 (pow.f64 (.f64 x (+.f64 2 x)) 3) (pow.f64 y 6)) (+.f64 (pow.f64 y 4) (.f64 (.f64 x (+.f64 2 x)) (-.f64 (.f64 x (+.f64 2 x)) (*.f64 y y)))))
(.f64 (-.f64 (pow.f64 (.f64 x (+.f64 x 2)) 2) (pow.f64 y 4)) (/.f64 1 (fma.f64 x (+.f64 x 2) (*.f64 (neg.f64 y) y))))
(/.f64 (-.f64 (pow.f64 (.f64 x (+.f64 2 x)) 2) (pow.f64 y 4)) (fma.f64 x (+.f64 2 x) (.f64 y (neg.f64 y))))
(/.f64 (-.f64 (pow.f64 (.f64 x (+.f64 2 x)) 2) (pow.f64 y 4)) (-.f64 (.f64 x (+.f64 2 x)) (*.f64 y y)))
(.f64 (-.f64 (pow.f64 (.f64 x (+.f64 x 2)) 2) (pow.f64 y 4)) (pow.f64 (/.f64 1 (fma.f64 x (+.f64 x 2) (*.f64 (neg.f64 y) y))) 1))
(/.f64 (-.f64 (pow.f64 (.f64 x (+.f64 2 x)) 2) (pow.f64 y 4)) (fma.f64 x (+.f64 2 x) (.f64 y (neg.f64 y))))
(/.f64 (-.f64 (pow.f64 (.f64 x (+.f64 2 x)) 2) (pow.f64 y 4)) (-.f64 (.f64 x (+.f64 2 x)) (*.f64 y y)))
(.f64 (pow.f64 1 1/3) (fma.f64 x (+.f64 x 2) (.f64 y y)))
(fma.f64 2 x (fma.f64 x x (*.f64 y y)))
(fma.f64 x (+.f64 2 x) (*.f64 y y))
(.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x (+.f64 x 2) (.f64 y y)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x (+.f64 x 2) (*.f64 y y)) 3)) 1/3))
(.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 x (+.f64 2 x) (.f64 y y)) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 x (+.f64 2 x) (*.f64 y y)) 3))))
(.f64 (cbrt.f64 (pow.f64 (fma.f64 x (+.f64 2 x) (.f64 y y)) 3/2)) (cbrt.f64 (pow.f64 (fma.f64 x (+.f64 2 x) (*.f64 y y)) 3/2)))
(.f64 (pow.f64 (pow.f64 (.f64 (fma.f64 x (+.f64 x 2) (.f64 y y)) (cbrt.f64 (fma.f64 x (+.f64 x 2) (.f64 y y)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 x (+.f64 x 2) (*.f64 y y)))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (fma.f64 x (+.f64 2 x) (.f64 y y)) (cbrt.f64 (fma.f64 x (+.f64 2 x) (.f64 y y)))) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 x (+.f64 2 x) (*.f64 y y)))))
(.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 2 x) (.f64 y y))) 4) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 x (+.f64 2 x) (*.f64 y y)))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 2 x) (.f64 y y))) 8)) (cbrt.f64 (cbrt.f64 (fma.f64 x (+.f64 2 x) (*.f64 y y)))))
(.f64 (pow.f64 (pow.f64 (fma.f64 x (+.f64 x 2) (.f64 y y)) 5/2) 1/3) (cbrt.f64 (hypot.f64 y (sqrt.f64 (*.f64 x (+.f64 x 2))))))
(.f64 (cbrt.f64 (pow.f64 (fma.f64 x (+.f64 2 x) (.f64 y y)) 5/2)) (cbrt.f64 (hypot.f64 y (sqrt.f64 (*.f64 x (+.f64 2 x))))))
(.f64 (cbrt.f64 (pow.f64 (fma.f64 x (+.f64 2 x) (.f64 y y)) 5/2)) (cbrt.f64 (hypot.f64 y (hypot.f64 x (sqrt.f64 (*.f64 2 x))))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (+.f64 x 2) (.f64 y y)))) 2) 3) (cbrt.f64 (fma.f64 x (+.f64 x 2) (*.f64 y y))))
(fma.f64 2 x (fma.f64 x x (*.f64 y y)))
(fma.f64 x (+.f64 2 x) (*.f64 y y))
(.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x (+.f64 x 2) (.f64 y y)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x (+.f64 x 2) (*.f64 y y)))) 3))
(fma.f64 2 x (fma.f64 x x (*.f64 y y)))
(fma.f64 x (+.f64 2 x) (*.f64 y y))
(/.f64 1 (/.f64 (fma.f64 (.f64 y y) (-.f64 (.f64 y y) (.f64 x (+.f64 x 2))) (pow.f64 (.f64 x (+.f64 x 2)) 2)) (+.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 3) (pow.f64 y 6))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 x (+.f64 2 x)) 3) (pow.f64 y 6)) 1) (fma.f64 (.f64 y y) (-.f64 (.f64 y y) (.f64 x (+.f64 2 x))) (pow.f64 (.f64 x (+.f64 2 x)) 2)))
(/.f64 (+.f64 (pow.f64 (.f64 x (+.f64 2 x)) 3) (pow.f64 y 6)) (fma.f64 (.f64 y y) (-.f64 (.f64 y y) (.f64 x (+.f64 2 x))) (pow.f64 (*.f64 x (+.f64 2 x)) 2)))
(/.f64 (+.f64 (pow.f64 (.f64 x (+.f64 2 x)) 3) (pow.f64 y 6)) (+.f64 (pow.f64 y 4) (.f64 (.f64 x (+.f64 2 x)) (-.f64 (.f64 x (+.f64 2 x)) (*.f64 y y)))))
(/.f64 1 (/.f64 (fma.f64 x (+.f64 x 2) (.f64 (neg.f64 y) y)) (-.f64 (pow.f64 (.f64 x (+.f64 x 2)) 2) (pow.f64 y 4))))
(/.f64 (-.f64 (pow.f64 (.f64 x (+.f64 2 x)) 2) (pow.f64 y 4)) (fma.f64 x (+.f64 2 x) (.f64 y (neg.f64 y))))
(/.f64 (-.f64 (pow.f64 (.f64 x (+.f64 2 x)) 2) (pow.f64 y 4)) (-.f64 (.f64 x (+.f64 2 x)) (*.f64 y y)))
(/.f64 (+.f64 (pow.f64 (.f64 x (+.f64 x 2)) 3) (pow.f64 y 6)) (fma.f64 (.f64 y y) (-.f64 (.f64 y y) (.f64 x (+.f64 x 2))) (pow.f64 (*.f64 x (+.f64 x 2)) 2)))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 x (+.f64 2 x)) 3) (pow.f64 y 6)) 1) (fma.f64 (.f64 y y) (-.f64 (.f64 y y) (.f64 x (+.f64 2 x))) (pow.f64 (.f64 x (+.f64 2 x)) 2)))
(/.f64 (+.f64 (pow.f64 (.f64 x (+.f64 2 x)) 3) (pow.f64 y 6)) (fma.f64 (.f64 y y) (-.f64 (.f64 y y) (.f64 x (+.f64 2 x))) (pow.f64 (*.f64 x (+.f64 2 x)) 2)))
(/.f64 (+.f64 (pow.f64 (.f64 x (+.f64 2 x)) 3) (pow.f64 y 6)) (+.f64 (pow.f64 y 4) (.f64 (.f64 x (+.f64 2 x)) (-.f64 (.f64 x (+.f64 2 x)) (*.f64 y y)))))
(/.f64 (+.f64 (pow.f64 (.f64 x (+.f64 x 2)) 3) (pow.f64 y 6)) (+.f64 (pow.f64 y 4) (-.f64 (pow.f64 (.f64 x (+.f64 x 2)) 2) (.f64 x (.f64 (+.f64 x 2) (*.f64 y y))))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 x (+.f64 2 x)) 3) (pow.f64 y 6)) 1) (fma.f64 (.f64 y y) (-.f64 (.f64 y y) (.f64 x (+.f64 2 x))) (pow.f64 (.f64 x (+.f64 2 x)) 2)))
(/.f64 (+.f64 (pow.f64 (.f64 x (+.f64 2 x)) 3) (pow.f64 y 6)) (fma.f64 (.f64 y y) (-.f64 (.f64 y y) (.f64 x (+.f64 2 x))) (pow.f64 (*.f64 x (+.f64 2 x)) 2)))
(/.f64 (+.f64 (pow.f64 (.f64 x (+.f64 2 x)) 3) (pow.f64 y 6)) (+.f64 (pow.f64 y 4) (.f64 (.f64 x (+.f64 2 x)) (-.f64 (.f64 x (+.f64 2 x)) (*.f64 y y)))))
(/.f64 (-.f64 (pow.f64 (.f64 x (+.f64 x 2)) 2) (pow.f64 y 4)) (fma.f64 x (+.f64 x 2) (.f64 (neg.f64 y) y)))
(/.f64 (-.f64 (pow.f64 (.f64 x (+.f64 2 x)) 2) (pow.f64 y 4)) (fma.f64 x (+.f64 2 x) (.f64 y (neg.f64 y))))
(/.f64 (-.f64 (pow.f64 (.f64 x (+.f64 2 x)) 2) (pow.f64 y 4)) (-.f64 (.f64 x (+.f64 2 x)) (*.f64 y y)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 x (+.f64 x 2)) 3) (pow.f64 y 6))) (neg.f64 (fma.f64 (.f64 y y) (-.f64 (.f64 y y) (.f64 x (+.f64 x 2))) (pow.f64 (*.f64 x (+.f64 x 2)) 2))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 x (+.f64 2 x)) 3) (pow.f64 y 6)) 1) (fma.f64 (.f64 y y) (-.f64 (.f64 y y) (.f64 x (+.f64 2 x))) (pow.f64 (.f64 x (+.f64 2 x)) 2)))
(/.f64 (+.f64 (pow.f64 (.f64 x (+.f64 2 x)) 3) (pow.f64 y 6)) (fma.f64 (.f64 y y) (-.f64 (.f64 y y) (.f64 x (+.f64 2 x))) (pow.f64 (*.f64 x (+.f64 2 x)) 2)))
(/.f64 (+.f64 (pow.f64 (.f64 x (+.f64 2 x)) 3) (pow.f64 y 6)) (+.f64 (pow.f64 y 4) (.f64 (.f64 x (+.f64 2 x)) (-.f64 (.f64 x (+.f64 2 x)) (*.f64 y y)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 x (+.f64 x 2)) 2) (pow.f64 y 4))) (neg.f64 (fma.f64 x (+.f64 x 2) (.f64 (neg.f64 y) y))))
(/.f64 (-.f64 (pow.f64 (.f64 x (+.f64 2 x)) 2) (pow.f64 y 4)) (fma.f64 x (+.f64 2 x) (.f64 y (neg.f64 y))))
(/.f64 (-.f64 (pow.f64 (.f64 x (+.f64 2 x)) 2) (pow.f64 y 4)) (-.f64 (.f64 x (+.f64 2 x)) (*.f64 y y)))
(/.f64 (-.f64 (pow.f64 y 4) (pow.f64 (.f64 x (+.f64 x 2)) 2)) (-.f64 (.f64 y y) (*.f64 x (+.f64 x 2))))
(/.f64 (-.f64 (pow.f64 (.f64 x (+.f64 2 x)) 2) (pow.f64 y 4)) (fma.f64 x (+.f64 2 x) (.f64 y (neg.f64 y))))
(/.f64 (-.f64 (pow.f64 (.f64 x (+.f64 2 x)) 2) (pow.f64 y 4)) (-.f64 (.f64 x (+.f64 2 x)) (*.f64 y y)))
(pow.f64 (fma.f64 x (+.f64 x 2) (*.f64 y y)) 1)
(fma.f64 2 x (fma.f64 x x (*.f64 y y)))
(fma.f64 x (+.f64 2 x) (*.f64 y y))
(pow.f64 (pow.f64 (fma.f64 x (+.f64 x 2) (*.f64 y y)) 2) 1/2)
(fma.f64 2 x (fma.f64 x x (*.f64 y y)))
(fma.f64 x (+.f64 2 x) (*.f64 y y))
(pow.f64 (pow.f64 (fma.f64 x (+.f64 x 2) (*.f64 y y)) 3) 1/3)
(fma.f64 2 x (fma.f64 x x (*.f64 y y)))
(fma.f64 x (+.f64 2 x) (*.f64 y y))
(pow.f64 (cbrt.f64 (fma.f64 x (+.f64 x 2) (*.f64 y y))) 3)
(fma.f64 2 x (fma.f64 x x (*.f64 y y)))
(fma.f64 x (+.f64 2 x) (*.f64 y y))
(pow.f64 (hypot.f64 y (sqrt.f64 (*.f64 x (+.f64 x 2)))) 2)
(fma.f64 2 x (fma.f64 x x (*.f64 y y)))
(fma.f64 x (+.f64 2 x) (*.f64 y y))
(pow.f64 (exp.f64 1) (log.f64 (fma.f64 x (+.f64 x 2) (*.f64 y y))))
(fma.f64 2 x (fma.f64 x x (*.f64 y y)))
(fma.f64 x (+.f64 2 x) (*.f64 y y))
(pow.f64 (/.f64 (fma.f64 (.f64 y y) (-.f64 (.f64 y y) (.f64 x (+.f64 x 2))) (pow.f64 (.f64 x (+.f64 x 2)) 2)) (+.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 3) (pow.f64 y 6))) -1)
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 x (+.f64 2 x)) 3) (pow.f64 y 6)) 1) (fma.f64 (.f64 y y) (-.f64 (.f64 y y) (.f64 x (+.f64 2 x))) (pow.f64 (.f64 x (+.f64 2 x)) 2)))
(/.f64 (+.f64 (pow.f64 (.f64 x (+.f64 2 x)) 3) (pow.f64 y 6)) (fma.f64 (.f64 y y) (-.f64 (.f64 y y) (.f64 x (+.f64 2 x))) (pow.f64 (*.f64 x (+.f64 2 x)) 2)))
(/.f64 (+.f64 (pow.f64 (.f64 x (+.f64 2 x)) 3) (pow.f64 y 6)) (+.f64 (pow.f64 y 4) (.f64 (.f64 x (+.f64 2 x)) (-.f64 (.f64 x (+.f64 2 x)) (*.f64 y y)))))
(pow.f64 (/.f64 (fma.f64 x (+.f64 x 2) (.f64 (neg.f64 y) y)) (-.f64 (pow.f64 (.f64 x (+.f64 x 2)) 2) (pow.f64 y 4))) -1)
(/.f64 (-.f64 (pow.f64 (.f64 x (+.f64 2 x)) 2) (pow.f64 y 4)) (fma.f64 x (+.f64 2 x) (.f64 y (neg.f64 y))))
(/.f64 (-.f64 (pow.f64 (.f64 x (+.f64 2 x)) 2) (pow.f64 y 4)) (-.f64 (.f64 x (+.f64 2 x)) (*.f64 y y)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x (+.f64 x 2) (.f64 y y)))) 2)) (cbrt.f64 (log.f64 (fma.f64 x (+.f64 x 2) (.f64 y y)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x (+.f64 2 x) (.f64 y y)))) 2)) (cbrt.f64 (log.f64 (fma.f64 x (+.f64 2 x) (.f64 y y)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 x (+.f64 x 2) (.f64 y y))))) (sqrt.f64 (log.f64 (fma.f64 x (+.f64 x 2) (.f64 y y)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 x (+.f64 2 x) (.f64 y y))))) (sqrt.f64 (log.f64 (fma.f64 x (+.f64 2 x) (.f64 y y)))))
(sqrt.f64 (pow.f64 (fma.f64 x (+.f64 x 2) (*.f64 y y)) 2))
(fma.f64 2 x (fma.f64 x x (*.f64 y y)))
(fma.f64 x (+.f64 2 x) (*.f64 y y))
(log.f64 (exp.f64 (fma.f64 x (+.f64 x 2) (*.f64 y y))))
(fma.f64 2 x (fma.f64 x x (*.f64 y y)))
(fma.f64 x (+.f64 2 x) (*.f64 y y))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (+.f64 x 2) (*.f64 y y)))))
(fma.f64 2 x (fma.f64 x x (*.f64 y y)))
(fma.f64 x (+.f64 2 x) (*.f64 y y))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x (+.f64 x 2)))) (pow.f64 (exp.f64 y) y)))
(fma.f64 2 x (fma.f64 x x (*.f64 y y)))
(fma.f64 x (+.f64 2 x) (*.f64 y y))
(log.f64 (.f64 (pow.f64 (exp.f64 x) (+.f64 x 2)) (+.f64 1 (expm1.f64 (.f64 y y)))))
(fma.f64 2 x (fma.f64 x x (*.f64 y y)))
(fma.f64 x (+.f64 2 x) (*.f64 y y))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x (+.f64 x 2)))) (+.f64 1 (expm1.f64 (*.f64 y y)))))
(fma.f64 2 x (fma.f64 x x (*.f64 y y)))
(fma.f64 x (+.f64 2 x) (*.f64 y y))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 y y))) (pow.f64 (exp.f64 x) (+.f64 x 2))))
(fma.f64 2 x (fma.f64 x x (*.f64 y y)))
(fma.f64 x (+.f64 2 x) (*.f64 y y))
(log.f64 (.f64 (pow.f64 (exp.f64 y) y) (+.f64 1 (expm1.f64 (.f64 x (+.f64 x 2))))))
(fma.f64 2 x (fma.f64 x x (*.f64 y y)))
(fma.f64 x (+.f64 2 x) (*.f64 y y))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 y y))) (+.f64 1 (expm1.f64 (*.f64 x (+.f64 x 2))))))
(fma.f64 2 x (fma.f64 x x (*.f64 y y)))
(fma.f64 x (+.f64 2 x) (*.f64 y y))
(cbrt.f64 (pow.f64 (fma.f64 x (+.f64 x 2) (*.f64 y y)) 3))
(fma.f64 2 x (fma.f64 x x (*.f64 y y)))
(fma.f64 x (+.f64 2 x) (*.f64 y y))
(expm1.f64 (log1p.f64 (fma.f64 x (+.f64 x 2) (*.f64 y y))))
(fma.f64 2 x (fma.f64 x x (*.f64 y y)))
(fma.f64 x (+.f64 2 x) (*.f64 y y))
(log1p.f64 (expm1.f64 (fma.f64 x (+.f64 x 2) (*.f64 y y))))
(fma.f64 2 x (fma.f64 x x (*.f64 y y)))
(fma.f64 x (+.f64 2 x) (*.f64 y y))
(exp.f64 (log.f64 (fma.f64 x (+.f64 x 2) (*.f64 y y))))
(fma.f64 2 x (fma.f64 x x (*.f64 y y)))
(fma.f64 x (+.f64 2 x) (*.f64 y y))
(exp.f64 (.f64 (log.f64 (fma.f64 x (+.f64 x 2) (.f64 y y))) 1))
(fma.f64 2 x (fma.f64 x x (*.f64 y y)))
(fma.f64 x (+.f64 2 x) (*.f64 y y))
(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 x (+.f64 x 2) (*.f64 y y)))) 1/3))
(fma.f64 2 x (fma.f64 x x (*.f64 y y)))
(fma.f64 x (+.f64 2 x) (*.f64 y y))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 x (+.f64 x 2) (.f64 y y)))) 3))
(fma.f64 2 x (fma.f64 x x (*.f64 y y)))
(fma.f64 x (+.f64 2 x) (*.f64 y y))
(exp.f64 (.f64 (log.f64 (hypot.f64 y (sqrt.f64 (.f64 x (+.f64 x 2))))) 2))
(fma.f64 2 x (fma.f64 x x (*.f64 y y)))
(fma.f64 x (+.f64 2 x) (*.f64 y y))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 x (+.f64 x 2) (*.f64 y y))) 1) 1))
(fma.f64 2 x (fma.f64 x x (*.f64 y y)))
(fma.f64 x (+.f64 2 x) (*.f64 y y))
(fma.f64 x 2 (fma.f64 x x (*.f64 y y)))
(fma.f64 2 x (fma.f64 x x (*.f64 y y)))
(fma.f64 x (+.f64 2 x) (*.f64 y y))
(fma.f64 x (+.f64 x 2) (*.f64 y y))
(fma.f64 2 x (fma.f64 x x (*.f64 y y)))
(fma.f64 x (+.f64 2 x) (*.f64 y y))
(fma.f64 2 x (fma.f64 x x (*.f64 y y)))
(fma.f64 x (+.f64 2 x) (*.f64 y y))
(fma.f64 (+.f64 x 2) x (*.f64 y y))
(fma.f64 2 x (fma.f64 x x (*.f64 y y)))
(fma.f64 x (+.f64 2 x) (*.f64 y y))
(fma.f64 (.f64 x (+.f64 x 2)) 1 (.f64 y y))
(fma.f64 2 x (fma.f64 x x (*.f64 y y)))
(fma.f64 x (+.f64 2 x) (*.f64 y y))
(fma.f64 y y (*.f64 x (+.f64 x 2)))
(fma.f64 2 x (fma.f64 x x (*.f64 y y)))
(fma.f64 x (+.f64 2 x) (*.f64 y y))
(fma.f64 (.f64 y y) 1 (.f64 x (+.f64 x 2)))
(fma.f64 2 x (fma.f64 x x (*.f64 y y)))
(fma.f64 x (+.f64 2 x) (*.f64 y y))
(fma.f64 1 (.f64 x (+.f64 x 2)) (.f64 y y))
(fma.f64 2 x (fma.f64 x x (*.f64 y y)))
(fma.f64 x (+.f64 2 x) (*.f64 y y))
(fma.f64 1 (.f64 y y) (.f64 x (+.f64 x 2)))
(fma.f64 2 x (fma.f64 x x (*.f64 y y)))
(fma.f64 x (+.f64 2 x) (*.f64 y y))
(fma.f64 1 (.f64 x 2) (fma.f64 x x (.f64 y y)))
(fma.f64 2 x (fma.f64 x x (*.f64 y y)))
(fma.f64 x (+.f64 2 x) (*.f64 y y))
(fma.f64 (cbrt.f64 (.f64 x (+.f64 x 2))) (pow.f64 (cbrt.f64 (.f64 x (+.f64 x 2))) 2) (*.f64 y y))
(fma.f64 2 x (fma.f64 x x (*.f64 y y)))
(fma.f64 x (+.f64 2 x) (*.f64 y y))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 x 2))) 2) (cbrt.f64 (.f64 x (+.f64 x 2))) (*.f64 y y))
(fma.f64 2 x (fma.f64 x x (*.f64 y y)))
(fma.f64 x (+.f64 2 x) (*.f64 y y))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (+.f64 x 2)) (.f64 y y))
(fma.f64 2 x (fma.f64 x x (*.f64 y y)))
(fma.f64 x (+.f64 2 x) (*.f64 y y))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) 2) (fma.f64 x x (.f64 y y)))
(fma.f64 2 x (fma.f64 x x (*.f64 y y)))
(fma.f64 x (+.f64 2 x) (*.f64 y y))
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 (cbrt.f64 y) y) (.f64 x (+.f64 x 2)))
(fma.f64 2 x (fma.f64 x x (*.f64 y y)))
(fma.f64 x (+.f64 2 x) (*.f64 y y))
(fma.f64 (.f64 (cbrt.f64 y) y) (pow.f64 (cbrt.f64 y) 2) (.f64 x (+.f64 x 2)))
(fma.f64 2 x (fma.f64 x x (*.f64 y y)))
(fma.f64 x (+.f64 2 x) (*.f64 y y))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 2)) 2) (.f64 (cbrt.f64 (+.f64 x 2)) x) (.f64 y y))
(fma.f64 2 x (fma.f64 x x (*.f64 y y)))
(fma.f64 x (+.f64 2 x) (*.f64 y y))
(fma.f64 (sqrt.f64 (.f64 x (+.f64 x 2))) (sqrt.f64 (.f64 x (+.f64 x 2))) (*.f64 y y))
(fma.f64 2 x (fma.f64 x x (*.f64 y y)))
(fma.f64 x (+.f64 2 x) (*.f64 y y))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (+.f64 x 2)) (.f64 y y))
(fma.f64 2 x (fma.f64 x x (*.f64 y y)))
(fma.f64 x (+.f64 2 x) (*.f64 y y))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) 2) (fma.f64 x x (.f64 y y)))
(fma.f64 2 x (fma.f64 x x (*.f64 y y)))
(fma.f64 x (+.f64 2 x) (*.f64 y y))
(fma.f64 (sqrt.f64 y) (pow.f64 y 3/2) (*.f64 x (+.f64 x 2)))
(fma.f64 (sqrt.f64 y) (pow.f64 y 3/2) (*.f64 x (+.f64 2 x)))
(fma.f64 (pow.f64 y 3/2) (sqrt.f64 y) (*.f64 x (+.f64 2 x)))
(fma.f64 (sqrt.f64 (+.f64 x 2)) (.f64 (sqrt.f64 (+.f64 x 2)) x) (.f64 y y))
(fma.f64 2 x (fma.f64 x x (*.f64 y y)))
(fma.f64 x (+.f64 2 x) (*.f64 y y))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 2)) 2) (cbrt.f64 (.f64 x 2)) (fma.f64 x x (*.f64 y y)))
(fma.f64 2 x (fma.f64 x x (*.f64 y y)))
(fma.f64 x (+.f64 2 x) (*.f64 y y))
(fma.f64 (sqrt.f64 (.f64 x 2)) (sqrt.f64 (.f64 x 2)) (fma.f64 x x (*.f64 y y)))
(fma.f64 2 x (fma.f64 x x (*.f64 y y)))
(fma.f64 x (+.f64 2 x) (*.f64 y y))
(fma.f64 (pow.f64 y 3/2) (sqrt.f64 y) (*.f64 x (+.f64 x 2)))
(fma.f64 (sqrt.f64 y) (pow.f64 y 3/2) (*.f64 x (+.f64 2 x)))
(fma.f64 (pow.f64 y 3/2) (sqrt.f64 y) (*.f64 x (+.f64 2 x)))
(fma.f64 (.f64 x (pow.f64 (cbrt.f64 (+.f64 x 2)) 2)) (cbrt.f64 (+.f64 x 2)) (.f64 y y))
(fma.f64 2 x (fma.f64 x x (*.f64 y y)))
(fma.f64 x (+.f64 2 x) (*.f64 y y))
(fma.f64 (.f64 x (sqrt.f64 (+.f64 x 2))) (sqrt.f64 (+.f64 x 2)) (.f64 y y))
(fma.f64 2 x (fma.f64 x x (*.f64 y y)))
(fma.f64 x (+.f64 2 x) (*.f64 y y))
(fma.f64 (.f64 (+.f64 x 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 y y))
(fma.f64 2 x (fma.f64 x x (*.f64 y y)))
(fma.f64 x (+.f64 2 x) (*.f64 y y))
(fma.f64 (.f64 (+.f64 x 2) (sqrt.f64 x)) (sqrt.f64 x) (.f64 y y))
(fma.f64 2 x (fma.f64 x x (*.f64 y y)))
(fma.f64 x (+.f64 2 x) (*.f64 y y))
(fma.f64 (.f64 2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (fma.f64 x x (.f64 y y)))
(fma.f64 2 x (fma.f64 x x (*.f64 y y)))
(fma.f64 x (+.f64 2 x) (*.f64 y y))
(fma.f64 (.f64 2 (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 x x (.f64 y y)))
(fma.f64 2 x (fma.f64 x x (*.f64 y y)))
(fma.f64 x (+.f64 2 x) (*.f64 y y))
(fma.f64 (pow.f64 (cbrt.f64 y) 5) (cbrt.f64 y) (*.f64 x (+.f64 x 2)))
(fma.f64 2 x (fma.f64 x x (*.f64 y y)))
(fma.f64 x (+.f64 2 x) (*.f64 y y))

localize13.0ms (0.4%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 32 to 14 computations (56.3% saved)

series3.0ms (0.1%)

Counts

2 → 36

Calls

9 calls:

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

rewrite65.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

577×	`fma-def_binary64`
467×	`log-prod_binary64`
356×	`pow-prod-down_binary64`
280×	`fma-neg_binary64`
262×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	20
1	203	18
2	2909	18

Stop Event

1×	node limit

Counts

2 → 167

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x 2 (pow.f64 (hypot.f64 x y) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (.f64 x (+.f64 x 2)) 2) (-.f64 (.f64 x (+.f64 x 2)) (.f64 y y))) (/.f64 (pow.f64 y 4) (-.f64 (.f64 x (+.f64 x 2)) (.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 x 2 (pow.f64 (hypot.f64 x y) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 x 2 (pow.f64 (hypot.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 x 2 (pow.f64 (hypot.f64 x y) 2))) (pow.f64 (cbrt.f64 (fma.f64 x 2 (pow.f64 (hypot.f64 x y) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 x 2 (pow.f64 (hypot.f64 x y) 2))) 2) (cbrt.f64 (fma.f64 x 2 (pow.f64 (hypot.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (hypot.f64 y (hypot.f64 x (sqrt.f64 (+.f64 x x)))) (hypot.f64 y (hypot.f64 x (sqrt.f64 (+.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (pow.f64 (.f64 x (+.f64 x 2)) 3) (pow.f64 y 6)) (/.f64 1 (fma.f64 (.f64 y y) (-.f64 (.f64 y y) (.f64 x (+.f64 x 2))) (pow.f64 (.f64 x (+.f64 x 2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 (.f64 x (+.f64 x 2)) 2) (pow.f64 y 4)) (/.f64 1 (-.f64 (.f64 x (+.f64 x 2)) (.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (.f64 y y) (-.f64 (.f64 y y) (.f64 x (+.f64 x 2))) (pow.f64 (.f64 x (+.f64 x 2)) 2)) (+.f64 (pow.f64 (.f64 x (+.f64 x 2)) 3) (pow.f64 y 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (.f64 x (+.f64 x 2)) (.f64 y y)) (-.f64 (pow.f64 (.f64 x (+.f64 x 2)) 2) (pow.f64 y 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 x (+.f64 x 2)) 3) (pow.f64 y 6)) (fma.f64 (.f64 y y) (-.f64 (.f64 y y) (.f64 x (+.f64 x 2))) (pow.f64 (.f64 x (+.f64 x 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 x (+.f64 x 2)) 3) (pow.f64 y 6)) (+.f64 (pow.f64 y 4) (-.f64 (pow.f64 (.f64 x (+.f64 x 2)) 2) (.f64 (.f64 x (+.f64 x 2)) (.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (.f64 x (+.f64 x 2)) 2) (pow.f64 y 4)) (-.f64 (.f64 x (+.f64 x 2)) (.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (.f64 x (+.f64 x 2)) 3) (pow.f64 y 6))) (neg.f64 (fma.f64 (.f64 y y) (-.f64 (.f64 y y) (.f64 x (+.f64 x 2))) (pow.f64 (.f64 x (+.f64 x 2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (.f64 x (+.f64 x 2)) 2) (pow.f64 y 4))) (neg.f64 (-.f64 (.f64 x (+.f64 x 2)) (.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 x 3) 8 (pow.f64 (pow.f64 (hypot.f64 x y) 2) 3)) (fma.f64 (.f64 x x) 4 (-.f64 (pow.f64 (pow.f64 (hypot.f64 x y) 2) 2) (.f64 (+.f64 x x) (pow.f64 (hypot.f64 x y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (.f64 x x) 4) (pow.f64 (pow.f64 (hypot.f64 x y) 2) 2)) (-.f64 (+.f64 x x) (pow.f64 (hypot.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 y 4) (pow.f64 (.f64 x (+.f64 x 2)) 2)) (-.f64 (.f64 y y) (.f64 x (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x 2 (pow.f64 (hypot.f64 x y) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 2 (pow.f64 (hypot.f64 x y) 2)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 2 (pow.f64 (hypot.f64 x y) 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x 2 (pow.f64 (hypot.f64 x y) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 y (hypot.f64 x (sqrt.f64 (+.f64 x x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (.f64 y y) (-.f64 (.f64 y y) (.f64 x (+.f64 x 2))) (pow.f64 (.f64 x (+.f64 x 2)) 2)) (+.f64 (pow.f64 (.f64 x (+.f64 x 2)) 3) (pow.f64 y 6))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (.f64 x (+.f64 x 2)) (.f64 y y)) (-.f64 (pow.f64 (.f64 x (+.f64 x 2)) 2) (pow.f64 y 4))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x 2 (pow.f64 (hypot.f64 x y) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x 2 (pow.f64 (hypot.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 2 (pow.f64 (hypot.f64 x y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (+.f64 x x))) (exp.f64 (pow.f64 (hypot.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (+.f64 x x))) (pow.f64 (exp.f64 1) (pow.f64 (hypot.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x (+.f64 x 2)))) (pow.f64 (exp.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (pow.f64 (exp.f64 x) (+.f64 x 2)) (+.f64 1 (expm1.f64 (.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x (+.f64 x 2)))) (+.f64 1 (expm1.f64 (.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 y y))) (pow.f64 (exp.f64 x) (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (pow.f64 (exp.f64 y) y) (+.f64 1 (expm1.f64 (.f64 x (+.f64 x 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 y y))) (+.f64 1 (expm1.f64 (.f64 x (+.f64 x 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (exp.f64 (pow.f64 (hypot.f64 x y) 2)) (pow.f64 (exp.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (exp.f64 (pow.f64 (hypot.f64 x y) 2)) (+.f64 1 (expm1.f64 (+.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (pow.f64 (exp.f64 1) (pow.f64 (hypot.f64 x y) 2)) (+.f64 1 (expm1.f64 (+.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x 2 (pow.f64 (hypot.f64 x y) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x 2 (pow.f64 (hypot.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x 2 (pow.f64 (hypot.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x 2 (pow.f64 (hypot.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 x 2 (pow.f64 (hypot.f64 x y) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 x 2 (pow.f64 (hypot.f64 x y) 2)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 x 2 (pow.f64 (hypot.f64 x y) 2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (hypot.f64 y (hypot.f64 x (sqrt.f64 (+.f64 x x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (fma.f64 x 2 (pow.f64 (hypot.f64 x y) 2))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x x (fma.f64 x 2 (.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 2 (pow.f64 (hypot.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 2 (.f64 (pow.f64 (hypot.f64 x y) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (+.f64 x 2) (.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 x (pow.f64 (hypot.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 x (.f64 (pow.f64 (hypot.f64 x y) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x x) 1 (pow.f64 (hypot.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x x) 1 (.f64 (pow.f64 (hypot.f64 x y) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x x) 1 (fma.f64 x 2 (.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x (+.f64 x 2)) 1 (.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y y (.f64 x (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 y y) 1 (.f64 x (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 x x) (pow.f64 (hypot.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 x x) (.f64 (pow.f64 (hypot.f64 x y) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 x x) (fma.f64 x 2 (.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 x (+.f64 x 2)) (.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 y y) (.f64 x (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 (hypot.f64 x y) 2) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 (pow.f64 y 4)) (.f64 x (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 y 4)) (pow.f64 (cbrt.f64 y) 2) (.f64 x (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x 4)) (fma.f64 x 2 (.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (+.f64 x 2)) (.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) 2) (pow.f64 (hypot.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) 2) (.f64 (pow.f64 (hypot.f64 x y) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) (fma.f64 x 2 (.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 x (+.f64 x 2))) (pow.f64 (cbrt.f64 (.f64 x (+.f64 x 2))) 2) (.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 x 2))) 2) (cbrt.f64 (.f64 x (+.f64 x 2))) (.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 x x)) (pow.f64 (cbrt.f64 (+.f64 x x)) 2) (pow.f64 (hypot.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 x x)) (pow.f64 (cbrt.f64 (+.f64 x x)) 2) (.f64 (pow.f64 (hypot.f64 x y) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x x)) 2) (cbrt.f64 (+.f64 x x)) (pow.f64 (hypot.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x x)) 2) (cbrt.f64 (+.f64 x x)) (.f64 (pow.f64 (hypot.f64 x y) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (pow.f64 x 3/2) (fma.f64 x 2 (.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (+.f64 x 2)) (.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) 2) (pow.f64 (hypot.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) 2) (.f64 (pow.f64 (hypot.f64 x y) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 x (sqrt.f64 (+.f64 x x))) (hypot.f64 x (sqrt.f64 (+.f64 x x))) (.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (pow.f64 y 3/2) (.f64 x (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 (+.f64 x x)) (pow.f64 (hypot.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 (+.f64 x x)) (.f64 (pow.f64 (hypot.f64 x y) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (pow.f64 x 3) 8 (pow.f64 x 6)) (/.f64 1 (-.f64 (fma.f64 (.f64 x x) 4 (pow.f64 x 4)) (.f64 2 (pow.f64 x 3)))) (.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (.f64 (.f64 x x) 4) (pow.f64 x 4)) (/.f64 1 (.f64 x (-.f64 2 x))) (.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x 2) x (.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 y 3/2) (sqrt.f64 y) (.f64 x (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 x y) 2)) 2) (cbrt.f64 (pow.f64 (hypot.f64 x y) 2)) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 x y) (hypot.f64 x y) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 3/2) (sqrt.f64 x) (fma.f64 x 2 (.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 5) (cbrt.f64 y) (.f64 x (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 5) (cbrt.f64 x) (fma.f64 x 2 (.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (pow.f64 (hypot.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 (pow.f64 (hypot.f64 x y) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 2 (sqrt.f64 x)) (sqrt.f64 x) (pow.f64 (hypot.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 2 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (pow.f64 (hypot.f64 x y) 2) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 x (+.f64 x 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 (.f64 x x) 4) (.f64 x (-.f64 2 x))) (/.f64 (pow.f64 x 4) (.f64 x (-.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 x (+.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x (+.f64 x 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 x (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 x (+.f64 x 2))) (pow.f64 (cbrt.f64 (.f64 x (+.f64 x 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 x 2))) 2) (cbrt.f64 (.f64 x (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (hypot.f64 x (sqrt.f64 (+.f64 x x))) (hypot.f64 x (sqrt.f64 (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 (pow.f64 x 3) 8 (pow.f64 x 6)) (/.f64 1 (-.f64 (fma.f64 (.f64 x x) 4 (pow.f64 x 4)) (.f64 2 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (.f64 (.f64 x x) 4) (pow.f64 x 4)) (/.f64 1 (.f64 x (-.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 x 2) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (fma.f64 (.f64 x x) 4 (pow.f64 x 4)) (.f64 2 (pow.f64 x 3))) (fma.f64 (pow.f64 x 3) 8 (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (.f64 x (-.f64 2 x)) (-.f64 (.f64 (.f64 x x) 4) (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 x 3) 8 (pow.f64 x 6)) (-.f64 (fma.f64 (.f64 x x) 4 (pow.f64 x 4)) (.f64 2 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 x 3) 8 (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (-.f64 (.f64 (.f64 x x) 4) (.f64 2 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (.f64 x x) 4) (pow.f64 x 4)) (.f64 x (-.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (pow.f64 x 3) 8 (pow.f64 x 6))) (neg.f64 (-.f64 (fma.f64 (.f64 x x) 4 (pow.f64 x 4)) (.f64 2 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (.f64 (.f64 x x) 4) (pow.f64 x 4))) (neg.f64 (.f64 x (-.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 4) (.f64 (.f64 x x) 4)) (fma.f64 x x (neg.f64 (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (+.f64 x 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x (+.f64 x 2)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x (+.f64 x 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 x (sqrt.f64 (+.f64 x x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x (+.f64 x 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (fma.f64 (.f64 x x) 4 (pow.f64 x 4)) (.f64 2 (pow.f64 x 3))) (fma.f64 (pow.f64 x 3) 8 (pow.f64 x 6))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (.f64 x (-.f64 2 x)) (-.f64 (.f64 (.f64 x x) 4) (pow.f64 x 4))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 x (+.f64 x 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 x (+.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (+.f64 x x))) (pow.f64 (exp.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (expm1.f64 (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (+.f64 x x))) (+.f64 1 (expm1.f64 (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x x))) (pow.f64 (exp.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (pow.f64 (exp.f64 x) x) (+.f64 1 (expm1.f64 (+.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x x))) (+.f64 1 (expm1.f64 (+.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 x (+.f64 x 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 x (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 x (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 x (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 x (+.f64 x 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (+.f64 x 2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (hypot.f64 x (sqrt.f64 (+.f64 x x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (.f64 x (+.f64 x 2)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (.f64 x (+.f64 x 2))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (.f64 x (+.f64 x 2))) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x x (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 2 (.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 x (.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x x) 1 (.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x x) 1 (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 x x) (.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 x x) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x 4)) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) 2) (.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 x x)) (pow.f64 (cbrt.f64 (+.f64 x x)) 2) (.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x x)) 2) (cbrt.f64 (+.f64 x x)) (.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (pow.f64 x 3/2) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) 2) (.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 (+.f64 x x)) (.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 3/2) (sqrt.f64 x) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 5) (cbrt.f64 x) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 2 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x x))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x 2 (pow.f64 (hypot.f64 x y) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 2) (-.f64 (*.f64 x (+.f64 x 2)) (*.f64 y y))) (/.f64 (pow.f64 y 4) (-.f64 (*.f64 x (+.f64 x 2)) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x 2 (pow.f64 (hypot.f64 x y) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x 2 (pow.f64 (hypot.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x 2 (pow.f64 (hypot.f64 x y) 2))) (pow.f64 (cbrt.f64 (fma.f64 x 2 (pow.f64 (hypot.f64 x y) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x 2 (pow.f64 (hypot.f64 x y) 2))) 2) (cbrt.f64 (fma.f64 x 2 (pow.f64 (hypot.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 y (hypot.f64 x (sqrt.f64 (+.f64 x x)))) (hypot.f64 y (hypot.f64 x (sqrt.f64 (+.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 3) (pow.f64 y 6)) (/.f64 1 (fma.f64 (*.f64 y y) (-.f64 (*.f64 y y) (*.f64 x (+.f64 x 2))) (pow.f64 (*.f64 x (+.f64 x 2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 2) (pow.f64 y 4)) (/.f64 1 (-.f64 (*.f64 x (+.f64 x 2)) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (*.f64 y y) (-.f64 (*.f64 y y) (*.f64 x (+.f64 x 2))) (pow.f64 (*.f64 x (+.f64 x 2)) 2)) (+.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 3) (pow.f64 y 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 x (+.f64 x 2)) (*.f64 y y)) (-.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 2) (pow.f64 y 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 3) (pow.f64 y 6)) (fma.f64 (*.f64 y y) (-.f64 (*.f64 y y) (*.f64 x (+.f64 x 2))) (pow.f64 (*.f64 x (+.f64 x 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 3) (pow.f64 y 6)) (+.f64 (pow.f64 y 4) (-.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 2) (*.f64 (*.f64 x (+.f64 x 2)) (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 2) (pow.f64 y 4)) (-.f64 (*.f64 x (+.f64 x 2)) (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 3) (pow.f64 y 6))) (neg.f64 (fma.f64 (*.f64 y y) (-.f64 (*.f64 y y) (*.f64 x (+.f64 x 2))) (pow.f64 (*.f64 x (+.f64 x 2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 2) (pow.f64 y 4))) (neg.f64 (-.f64 (*.f64 x (+.f64 x 2)) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 x 3) 8 (pow.f64 (pow.f64 (hypot.f64 x y) 2) 3)) (fma.f64 (*.f64 x x) 4 (-.f64 (pow.f64 (pow.f64 (hypot.f64 x y) 2) 2) (*.f64 (+.f64 x x) (pow.f64 (hypot.f64 x y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x x) 4) (pow.f64 (pow.f64 (hypot.f64 x y) 2) 2)) (-.f64 (+.f64 x x) (pow.f64 (hypot.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 y 4) (pow.f64 (*.f64 x (+.f64 x 2)) 2)) (-.f64 (*.f64 y y) (*.f64 x (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x 2 (pow.f64 (hypot.f64 x y) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 2 (pow.f64 (hypot.f64 x y) 2)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 2 (pow.f64 (hypot.f64 x y) 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x 2 (pow.f64 (hypot.f64 x y) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 y (hypot.f64 x (sqrt.f64 (+.f64 x x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (*.f64 y y) (-.f64 (*.f64 y y) (*.f64 x (+.f64 x 2))) (pow.f64 (*.f64 x (+.f64 x 2)) 2)) (+.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 3) (pow.f64 y 6))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (*.f64 x (+.f64 x 2)) (*.f64 y y)) (-.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 2) (pow.f64 y 4))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x 2 (pow.f64 (hypot.f64 x y) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x 2 (pow.f64 (hypot.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 2 (pow.f64 (hypot.f64 x y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 x x))) (exp.f64 (pow.f64 (hypot.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 x x))) (pow.f64 (exp.f64 1) (pow.f64 (hypot.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 x 2)))) (pow.f64 (exp.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 x) (+.f64 x 2)) (+.f64 1 (expm1.f64 (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 x 2)))) (+.f64 1 (expm1.f64 (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 y y))) (pow.f64 (exp.f64 x) (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 y) y) (+.f64 1 (expm1.f64 (*.f64 x (+.f64 x 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 y y))) (+.f64 1 (expm1.f64 (*.f64 x (+.f64 x 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (pow.f64 (hypot.f64 x y) 2)) (pow.f64 (exp.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (pow.f64 (hypot.f64 x y) 2)) (+.f64 1 (expm1.f64 (+.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 1) (pow.f64 (hypot.f64 x y) 2)) (+.f64 1 (expm1.f64 (+.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x 2 (pow.f64 (hypot.f64 x y) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x 2 (pow.f64 (hypot.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x 2 (pow.f64 (hypot.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x 2 (pow.f64 (hypot.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x 2 (pow.f64 (hypot.f64 x y) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 x 2 (pow.f64 (hypot.f64 x y) 2)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x 2 (pow.f64 (hypot.f64 x y) 2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (hypot.f64 y (hypot.f64 x (sqrt.f64 (+.f64 x x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x 2 (pow.f64 (hypot.f64 x y) 2))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x x (fma.f64 x 2 (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 2 (pow.f64 (hypot.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 2 (*.f64 (pow.f64 (hypot.f64 x y) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (+.f64 x 2) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 x (pow.f64 (hypot.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 x (*.f64 (pow.f64 (hypot.f64 x y) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x x) 1 (pow.f64 (hypot.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x x) 1 (*.f64 (pow.f64 (hypot.f64 x y) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) 1 (fma.f64 x 2 (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (+.f64 x 2)) 1 (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y y (*.f64 x (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y y) 1 (*.f64 x (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 x x) (pow.f64 (hypot.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 x x) (*.f64 (pow.f64 (hypot.f64 x y) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x x) (fma.f64 x 2 (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x (+.f64 x 2)) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 y y) (*.f64 x (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 (hypot.f64 x y) 2) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 (pow.f64 y 4)) (*.f64 x (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 y 4)) (pow.f64 (cbrt.f64 y) 2) (*.f64 x (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x 4)) (fma.f64 x 2 (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (+.f64 x 2)) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 2) (pow.f64 (hypot.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 2) (*.f64 (pow.f64 (hypot.f64 x y) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) (fma.f64 x 2 (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 2) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 2) (cbrt.f64 (*.f64 x (+.f64 x 2))) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 x x)) (pow.f64 (cbrt.f64 (+.f64 x x)) 2) (pow.f64 (hypot.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 x x)) (pow.f64 (cbrt.f64 (+.f64 x x)) 2) (*.f64 (pow.f64 (hypot.f64 x y) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x x)) 2) (cbrt.f64 (+.f64 x x)) (pow.f64 (hypot.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x x)) 2) (cbrt.f64 (+.f64 x x)) (*.f64 (pow.f64 (hypot.f64 x y) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (pow.f64 x 3/2) (fma.f64 x 2 (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (+.f64 x 2)) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 2) (pow.f64 (hypot.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 2) (*.f64 (pow.f64 (hypot.f64 x y) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 x (sqrt.f64 (+.f64 x x))) (hypot.f64 x (sqrt.f64 (+.f64 x x))) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (pow.f64 y 3/2) (*.f64 x (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 (+.f64 x x)) (pow.f64 (hypot.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 (+.f64 x x)) (*.f64 (pow.f64 (hypot.f64 x y) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (pow.f64 x 3) 8 (pow.f64 x 6)) (/.f64 1 (-.f64 (fma.f64 (*.f64 x x) 4 (pow.f64 x 4)) (*.f64 2 (pow.f64 x 3)))) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 (*.f64 x x) 4) (pow.f64 x 4)) (/.f64 1 (*.f64 x (-.f64 2 x))) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x 2) x (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 y 3/2) (sqrt.f64 y) (*.f64 x (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 x y) 2)) 2) (cbrt.f64 (pow.f64 (hypot.f64 x y) 2)) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 x y) (hypot.f64 x y) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 3/2) (sqrt.f64 x) (fma.f64 x 2 (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 5) (cbrt.f64 y) (*.f64 x (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 5) (cbrt.f64 x) (fma.f64 x 2 (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (pow.f64 (hypot.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 (pow.f64 (hypot.f64 x y) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 (sqrt.f64 x)) (sqrt.f64 x) (pow.f64 (hypot.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (pow.f64 (hypot.f64 x y) 2) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 x 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (*.f64 x x) 4) (*.f64 x (-.f64 2 x))) (/.f64 (pow.f64 x 4) (*.f64 x (-.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (+.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (+.f64 x 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 2) (cbrt.f64 (*.f64 x (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 x (sqrt.f64 (+.f64 x x))) (hypot.f64 x (sqrt.f64 (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 x 3) 8 (pow.f64 x 6)) (/.f64 1 (-.f64 (fma.f64 (*.f64 x x) 4 (pow.f64 x 4)) (*.f64 2 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (*.f64 x x) 4) (pow.f64 x 4)) (/.f64 1 (*.f64 x (-.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x 2) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (fma.f64 (*.f64 x x) 4 (pow.f64 x 4)) (*.f64 2 (pow.f64 x 3))) (fma.f64 (pow.f64 x 3) 8 (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 x (-.f64 2 x)) (-.f64 (*.f64 (*.f64 x x) 4) (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 x 3) 8 (pow.f64 x 6)) (-.f64 (fma.f64 (*.f64 x x) 4 (pow.f64 x 4)) (*.f64 2 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 x 3) 8 (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (-.f64 (*.f64 (*.f64 x x) 4) (*.f64 2 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x x) 4) (pow.f64 x 4)) (*.f64 x (-.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (pow.f64 x 3) 8 (pow.f64 x 6))) (neg.f64 (-.f64 (fma.f64 (*.f64 x x) 4 (pow.f64 x 4)) (*.f64 2 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) 4) (pow.f64 x 4))) (neg.f64 (*.f64 x (-.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 4) (*.f64 (*.f64 x x) 4)) (fma.f64 x x (neg.f64 (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (+.f64 x 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 x (sqrt.f64 (+.f64 x x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (fma.f64 (*.f64 x x) 4 (pow.f64 x 4)) (*.f64 2 (pow.f64 x 3))) (fma.f64 (pow.f64 x 3) 8 (pow.f64 x 6))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 x (-.f64 2 x)) (-.f64 (*.f64 (*.f64 x x) 4) (pow.f64 x 4))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 x x))) (pow.f64 (exp.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (expm1.f64 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 x x))) (+.f64 1 (expm1.f64 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x x))) (pow.f64 (exp.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 x) x) (+.f64 1 (expm1.f64 (+.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x x))) (+.f64 1 (expm1.f64 (+.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (+.f64 x 2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 (+.f64 x x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 x (+.f64 x 2)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x 2))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x 2))) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x x (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 2 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 x (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x x) 1 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) 1 (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 x x) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x x) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x 4)) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 2) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 x x)) (pow.f64 (cbrt.f64 (+.f64 x x)) 2) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x x)) 2) (cbrt.f64 (+.f64 x x)) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (pow.f64 x 3/2) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 2) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 (+.f64 x x)) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 3/2) (sqrt.f64 x) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 5) (cbrt.f64 x) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x x))))))

simplify91.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

711×	`distribute-rgt-in_binary64`
527×	`unswap-sqr_binary64`
420×	`cancel-sign-sub-inv_binary64`
302×	`fma-neg_binary64`
234×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	345	2853
1	904	2695
2	2729	2663

Stop Event

1×	node limit

Counts

203 → 212

Calls

Call 1

Inputs
(pow.f64 y 2)
(+.f64 (*.f64 2 x) (pow.f64 y 2))
(+.f64 (*.f64 2 x) (+.f64 (pow.f64 y 2) (pow.f64 x 2)))
(+.f64 (*.f64 2 x) (+.f64 (pow.f64 y 2) (pow.f64 x 2)))
(pow.f64 x 2)
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(+.f64 (*.f64 2 x) (+.f64 (pow.f64 y 2) (pow.f64 x 2)))
(+.f64 (*.f64 2 x) (+.f64 (pow.f64 y 2) (pow.f64 x 2)))
(pow.f64 x 2)
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(+.f64 (*.f64 2 x) (+.f64 (pow.f64 y 2) (pow.f64 x 2)))
(+.f64 (*.f64 2 x) (+.f64 (pow.f64 y 2) (pow.f64 x 2)))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(+.f64 (*.f64 2 x) (+.f64 (pow.f64 y 2) (pow.f64 x 2)))
(+.f64 (*.f64 2 x) (+.f64 (pow.f64 y 2) (pow.f64 x 2)))
(+.f64 (*.f64 2 x) (+.f64 (pow.f64 y 2) (pow.f64 x 2)))
(pow.f64 y 2)
(+.f64 (*.f64 2 x) (+.f64 (pow.f64 y 2) (pow.f64 x 2)))
(+.f64 (*.f64 2 x) (+.f64 (pow.f64 y 2) (pow.f64 x 2)))
(+.f64 (*.f64 2 x) (+.f64 (pow.f64 y 2) (pow.f64 x 2)))
(pow.f64 y 2)
(+.f64 (*.f64 2 x) (+.f64 (pow.f64 y 2) (pow.f64 x 2)))
(+.f64 (*.f64 2 x) (+.f64 (pow.f64 y 2) (pow.f64 x 2)))
(+.f64 (*.f64 2 x) (+.f64 (pow.f64 y 2) (pow.f64 x 2)))
(*.f64 2 x)
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x 2 (pow.f64 (hypot.f64 x y) 2)))) 1)
(-.f64 (/.f64 (pow.f64 (.f64 x (+.f64 x 2)) 2) (-.f64 (.f64 x (+.f64 x 2)) (.f64 y y))) (/.f64 (pow.f64 y 4) (-.f64 (.f64 x (+.f64 x 2)) (*.f64 y y))))
(*.f64 (fma.f64 x 2 (pow.f64 (hypot.f64 x y) 2)) 1)
(*.f64 1 (fma.f64 x 2 (pow.f64 (hypot.f64 x y) 2)))
(*.f64 (cbrt.f64 (fma.f64 x 2 (pow.f64 (hypot.f64 x y) 2))) (pow.f64 (cbrt.f64 (fma.f64 x 2 (pow.f64 (hypot.f64 x y) 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 2 (pow.f64 (hypot.f64 x y) 2))) 2) (cbrt.f64 (fma.f64 x 2 (pow.f64 (hypot.f64 x y) 2))))
(*.f64 (hypot.f64 y (hypot.f64 x (sqrt.f64 (+.f64 x x)))) (hypot.f64 y (hypot.f64 x (sqrt.f64 (+.f64 x x)))))
(.f64 (+.f64 (pow.f64 (.f64 x (+.f64 x 2)) 3) (pow.f64 y 6)) (/.f64 1 (fma.f64 (.f64 y y) (-.f64 (.f64 y y) (.f64 x (+.f64 x 2))) (pow.f64 (.f64 x (+.f64 x 2)) 2))))
(.f64 (-.f64 (pow.f64 (.f64 x (+.f64 x 2)) 2) (pow.f64 y 4)) (/.f64 1 (-.f64 (.f64 x (+.f64 x 2)) (.f64 y y))))
(/.f64 1 (/.f64 (fma.f64 (.f64 y y) (-.f64 (.f64 y y) (.f64 x (+.f64 x 2))) (pow.f64 (.f64 x (+.f64 x 2)) 2)) (+.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 3) (pow.f64 y 6))))
(/.f64 1 (/.f64 (-.f64 (.f64 x (+.f64 x 2)) (.f64 y y)) (-.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 2) (pow.f64 y 4))))
(/.f64 (+.f64 (pow.f64 (.f64 x (+.f64 x 2)) 3) (pow.f64 y 6)) (fma.f64 (.f64 y y) (-.f64 (.f64 y y) (.f64 x (+.f64 x 2))) (pow.f64 (*.f64 x (+.f64 x 2)) 2)))
(/.f64 (+.f64 (pow.f64 (.f64 x (+.f64 x 2)) 3) (pow.f64 y 6)) (+.f64 (pow.f64 y 4) (-.f64 (pow.f64 (.f64 x (+.f64 x 2)) 2) (.f64 (.f64 x (+.f64 x 2)) (*.f64 y y)))))
(/.f64 (-.f64 (pow.f64 (.f64 x (+.f64 x 2)) 2) (pow.f64 y 4)) (-.f64 (.f64 x (+.f64 x 2)) (*.f64 y y)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 x (+.f64 x 2)) 3) (pow.f64 y 6))) (neg.f64 (fma.f64 (.f64 y y) (-.f64 (.f64 y y) (.f64 x (+.f64 x 2))) (pow.f64 (*.f64 x (+.f64 x 2)) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 x (+.f64 x 2)) 2) (pow.f64 y 4))) (neg.f64 (-.f64 (.f64 x (+.f64 x 2)) (*.f64 y y))))
(/.f64 (fma.f64 (pow.f64 x 3) 8 (pow.f64 (pow.f64 (hypot.f64 x y) 2) 3)) (fma.f64 (.f64 x x) 4 (-.f64 (pow.f64 (pow.f64 (hypot.f64 x y) 2) 2) (.f64 (+.f64 x x) (pow.f64 (hypot.f64 x y) 2)))))
(/.f64 (-.f64 (.f64 (.f64 x x) 4) (pow.f64 (pow.f64 (hypot.f64 x y) 2) 2)) (-.f64 (+.f64 x x) (pow.f64 (hypot.f64 x y) 2)))
(/.f64 (-.f64 (pow.f64 y 4) (pow.f64 (.f64 x (+.f64 x 2)) 2)) (-.f64 (.f64 y y) (*.f64 x (+.f64 x 2))))
(pow.f64 (fma.f64 x 2 (pow.f64 (hypot.f64 x y) 2)) 1)
(pow.f64 (pow.f64 (fma.f64 x 2 (pow.f64 (hypot.f64 x y) 2)) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 x 2 (pow.f64 (hypot.f64 x y) 2)) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 x 2 (pow.f64 (hypot.f64 x y) 2))) 3)
(pow.f64 (hypot.f64 y (hypot.f64 x (sqrt.f64 (+.f64 x x)))) 2)
(pow.f64 (/.f64 (fma.f64 (.f64 y y) (-.f64 (.f64 y y) (.f64 x (+.f64 x 2))) (pow.f64 (.f64 x (+.f64 x 2)) 2)) (+.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 3) (pow.f64 y 6))) -1)
(pow.f64 (/.f64 (-.f64 (.f64 x (+.f64 x 2)) (.f64 y y)) (-.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 2) (pow.f64 y 4))) -1)
(sqrt.f64 (pow.f64 (fma.f64 x 2 (pow.f64 (hypot.f64 x y) 2)) 2))
(log.f64 (exp.f64 (fma.f64 x 2 (pow.f64 (hypot.f64 x y) 2))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 2 (pow.f64 (hypot.f64 x y) 2)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 x x))) (exp.f64 (pow.f64 (hypot.f64 x y) 2))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 x x))) (pow.f64 (exp.f64 1) (pow.f64 (hypot.f64 x y) 2))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x (+.f64 x 2)))) (pow.f64 (exp.f64 y) y)))
(log.f64 (.f64 (pow.f64 (exp.f64 x) (+.f64 x 2)) (+.f64 1 (expm1.f64 (.f64 y y)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x (+.f64 x 2)))) (+.f64 1 (expm1.f64 (*.f64 y y)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 y y))) (pow.f64 (exp.f64 x) (+.f64 x 2))))
(log.f64 (.f64 (pow.f64 (exp.f64 y) y) (+.f64 1 (expm1.f64 (.f64 x (+.f64 x 2))))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 y y))) (+.f64 1 (expm1.f64 (*.f64 x (+.f64 x 2))))))
(log.f64 (*.f64 (exp.f64 (pow.f64 (hypot.f64 x y) 2)) (pow.f64 (exp.f64 x) 2)))
(log.f64 (*.f64 (exp.f64 (pow.f64 (hypot.f64 x y) 2)) (+.f64 1 (expm1.f64 (+.f64 x x)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 1) (pow.f64 (hypot.f64 x y) 2)) (+.f64 1 (expm1.f64 (+.f64 x x)))))
(cbrt.f64 (pow.f64 (fma.f64 x 2 (pow.f64 (hypot.f64 x y) 2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x 2 (pow.f64 (hypot.f64 x y) 2))))
(log1p.f64 (expm1.f64 (fma.f64 x 2 (pow.f64 (hypot.f64 x y) 2))))
(exp.f64 (log.f64 (fma.f64 x 2 (pow.f64 (hypot.f64 x y) 2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x 2 (pow.f64 (hypot.f64 x y) 2))) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 x 2 (pow.f64 (hypot.f64 x y) 2)))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x 2 (pow.f64 (hypot.f64 x y) 2)))) 3))
(exp.f64 (*.f64 (log.f64 (hypot.f64 y (hypot.f64 x (sqrt.f64 (+.f64 x x))))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 x 2 (pow.f64 (hypot.f64 x y) 2))) 1) 1))
(fma.f64 x x (fma.f64 x 2 (*.f64 y y)))
(fma.f64 x 2 (pow.f64 (hypot.f64 x y) 2))
(fma.f64 x 2 (*.f64 (pow.f64 (hypot.f64 x y) 2) 1))
(fma.f64 x (+.f64 x 2) (*.f64 y y))
(fma.f64 2 x (pow.f64 (hypot.f64 x y) 2))
(fma.f64 2 x (*.f64 (pow.f64 (hypot.f64 x y) 2) 1))
(fma.f64 (+.f64 x x) 1 (pow.f64 (hypot.f64 x y) 2))
(fma.f64 (+.f64 x x) 1 (*.f64 (pow.f64 (hypot.f64 x y) 2) 1))
(fma.f64 (.f64 x x) 1 (fma.f64 x 2 (.f64 y y)))
(fma.f64 (.f64 x (+.f64 x 2)) 1 (.f64 y y))
(fma.f64 y y (*.f64 x (+.f64 x 2)))
(fma.f64 (.f64 y y) 1 (.f64 x (+.f64 x 2)))
(fma.f64 1 (+.f64 x x) (pow.f64 (hypot.f64 x y) 2))
(fma.f64 1 (+.f64 x x) (*.f64 (pow.f64 (hypot.f64 x y) 2) 1))
(fma.f64 1 (.f64 x x) (fma.f64 x 2 (.f64 y y)))
(fma.f64 1 (.f64 x (+.f64 x 2)) (.f64 y y))
(fma.f64 1 (.f64 y y) (.f64 x (+.f64 x 2)))
(fma.f64 1 (pow.f64 (hypot.f64 x y) 2) (+.f64 x x))
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 (pow.f64 y 4)) (*.f64 x (+.f64 x 2)))
(fma.f64 (cbrt.f64 (pow.f64 y 4)) (pow.f64 (cbrt.f64 y) 2) (*.f64 x (+.f64 x 2)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x 4)) (fma.f64 x 2 (*.f64 y y)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (+.f64 x 2)) (.f64 y y))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 2) (pow.f64 (hypot.f64 x y) 2))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) 2) (.f64 (pow.f64 (hypot.f64 x y) 2) 1))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) (fma.f64 x 2 (*.f64 y y)))
(fma.f64 (cbrt.f64 (.f64 x (+.f64 x 2))) (pow.f64 (cbrt.f64 (.f64 x (+.f64 x 2))) 2) (*.f64 y y))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 x 2))) 2) (cbrt.f64 (.f64 x (+.f64 x 2))) (*.f64 y y))
(fma.f64 (cbrt.f64 (+.f64 x x)) (pow.f64 (cbrt.f64 (+.f64 x x)) 2) (pow.f64 (hypot.f64 x y) 2))
(fma.f64 (cbrt.f64 (+.f64 x x)) (pow.f64 (cbrt.f64 (+.f64 x x)) 2) (*.f64 (pow.f64 (hypot.f64 x y) 2) 1))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x x)) 2) (cbrt.f64 (+.f64 x x)) (pow.f64 (hypot.f64 x y) 2))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x x)) 2) (cbrt.f64 (+.f64 x x)) (*.f64 (pow.f64 (hypot.f64 x y) 2) 1))
(fma.f64 (sqrt.f64 x) (pow.f64 x 3/2) (fma.f64 x 2 (*.f64 y y)))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (+.f64 x 2)) (.f64 y y))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 2) (pow.f64 (hypot.f64 x y) 2))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) 2) (.f64 (pow.f64 (hypot.f64 x y) 2) 1))
(fma.f64 (hypot.f64 x (sqrt.f64 (+.f64 x x))) (hypot.f64 x (sqrt.f64 (+.f64 x x))) (*.f64 y y))
(fma.f64 (sqrt.f64 y) (pow.f64 y 3/2) (*.f64 x (+.f64 x 2)))
(fma.f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 (+.f64 x x)) (pow.f64 (hypot.f64 x y) 2))
(fma.f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 (+.f64 x x)) (*.f64 (pow.f64 (hypot.f64 x y) 2) 1))
(fma.f64 (fma.f64 (pow.f64 x 3) 8 (pow.f64 x 6)) (/.f64 1 (-.f64 (fma.f64 (.f64 x x) 4 (pow.f64 x 4)) (.f64 2 (pow.f64 x 3)))) (*.f64 y y))
(fma.f64 (-.f64 (.f64 (.f64 x x) 4) (pow.f64 x 4)) (/.f64 1 (.f64 x (-.f64 2 x))) (.f64 y y))
(fma.f64 (+.f64 x 2) x (*.f64 y y))
(fma.f64 (pow.f64 y 3/2) (sqrt.f64 y) (*.f64 x (+.f64 x 2)))
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 x y) 2)) 2) (cbrt.f64 (pow.f64 (hypot.f64 x y) 2)) (+.f64 x x))
(fma.f64 (hypot.f64 x y) (hypot.f64 x y) (+.f64 x x))
(fma.f64 (pow.f64 x 3/2) (sqrt.f64 x) (fma.f64 x 2 (*.f64 y y)))
(fma.f64 (pow.f64 (cbrt.f64 y) 5) (cbrt.f64 y) (*.f64 x (+.f64 x 2)))
(fma.f64 (pow.f64 (cbrt.f64 x) 5) (cbrt.f64 x) (fma.f64 x 2 (*.f64 y y)))
(fma.f64 (*.f64 2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (pow.f64 (hypot.f64 x y) 2))
(fma.f64 (.f64 2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 (pow.f64 (hypot.f64 x y) 2) 1))
(fma.f64 (*.f64 2 (sqrt.f64 x)) (sqrt.f64 x) (pow.f64 (hypot.f64 x y) 2))
(fma.f64 (.f64 2 (sqrt.f64 x)) (sqrt.f64 x) (.f64 (pow.f64 (hypot.f64 x y) 2) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 x 2)))) 1)
(-.f64 (/.f64 (.f64 (.f64 x x) 4) (.f64 x (-.f64 2 x))) (/.f64 (pow.f64 x 4) (.f64 x (-.f64 2 x))))
(*.f64 x (+.f64 x 2))
(.f64 (.f64 x (+.f64 x 2)) 1)
(.f64 1 (.f64 x (+.f64 x 2)))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (+.f64 x 2)))
(.f64 (cbrt.f64 (.f64 x (+.f64 x 2))) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 x 2))) 2) (cbrt.f64 (*.f64 x (+.f64 x 2))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (+.f64 x 2)))
(*.f64 (hypot.f64 x (sqrt.f64 (+.f64 x x))) (hypot.f64 x (sqrt.f64 (+.f64 x x))))
(.f64 (fma.f64 (pow.f64 x 3) 8 (pow.f64 x 6)) (/.f64 1 (-.f64 (fma.f64 (.f64 x x) 4 (pow.f64 x 4)) (*.f64 2 (pow.f64 x 3)))))
(.f64 (-.f64 (.f64 (.f64 x x) 4) (pow.f64 x 4)) (/.f64 1 (.f64 x (-.f64 2 x))))
(*.f64 (+.f64 x 2) x)
(/.f64 1 (/.f64 (-.f64 (fma.f64 (.f64 x x) 4 (pow.f64 x 4)) (.f64 2 (pow.f64 x 3))) (fma.f64 (pow.f64 x 3) 8 (pow.f64 x 6))))
(/.f64 1 (/.f64 (.f64 x (-.f64 2 x)) (-.f64 (.f64 (*.f64 x x) 4) (pow.f64 x 4))))
(/.f64 (fma.f64 (pow.f64 x 3) 8 (pow.f64 x 6)) (-.f64 (fma.f64 (.f64 x x) 4 (pow.f64 x 4)) (.f64 2 (pow.f64 x 3))))
(/.f64 (fma.f64 (pow.f64 x 3) 8 (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (-.f64 (.f64 (.f64 x x) 4) (*.f64 2 (pow.f64 x 3)))))
(/.f64 (-.f64 (.f64 (.f64 x x) 4) (pow.f64 x 4)) (*.f64 x (-.f64 2 x)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 3) 8 (pow.f64 x 6))) (neg.f64 (-.f64 (fma.f64 (.f64 x x) 4 (pow.f64 x 4)) (.f64 2 (pow.f64 x 3)))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 x x) 4) (pow.f64 x 4))) (neg.f64 (*.f64 x (-.f64 2 x))))
(/.f64 (-.f64 (pow.f64 x 4) (.f64 (.f64 x x) 4)) (fma.f64 x x (neg.f64 (+.f64 x x))))
(pow.f64 (*.f64 x (+.f64 x 2)) 1)
(pow.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 2) 1/2)
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 3)
(pow.f64 (hypot.f64 x (sqrt.f64 (+.f64 x x))) 2)
(pow.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 3) 1/3)
(pow.f64 (/.f64 (-.f64 (fma.f64 (.f64 x x) 4 (pow.f64 x 4)) (.f64 2 (pow.f64 x 3))) (fma.f64 (pow.f64 x 3) 8 (pow.f64 x 6))) -1)
(pow.f64 (/.f64 (.f64 x (-.f64 2 x)) (-.f64 (.f64 (*.f64 x x) 4) (pow.f64 x 4))) -1)
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 2))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 x 2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 x 2)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 x x))) (pow.f64 (exp.f64 x) x)))
(log.f64 (.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (expm1.f64 (.f64 x x)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (+.f64 x x))) (+.f64 1 (expm1.f64 (.f64 x x)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x x))) (pow.f64 (exp.f64 x) 2)))
(log.f64 (*.f64 (pow.f64 (exp.f64 x) x) (+.f64 1 (expm1.f64 (+.f64 x x)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x x))) (+.f64 1 (expm1.f64 (+.f64 x x)))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 x 2))))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 x 2))))
(exp.f64 (log.f64 (*.f64 x (+.f64 x 2))))
(exp.f64 (.f64 (log.f64 (.f64 x (+.f64 x 2))) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (+.f64 x 2)))) 3))
(exp.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 (+.f64 x x)))) 2))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 x (+.f64 x 2)))) 1/3))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (+.f64 x 2))) 1) 1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (+.f64 x 2))) 3) 1/3))
(fma.f64 x x (+.f64 x x))
(fma.f64 x 2 (*.f64 x x))
(fma.f64 2 x (*.f64 x x))
(fma.f64 (+.f64 x x) 1 (*.f64 x x))
(fma.f64 (*.f64 x x) 1 (+.f64 x x))
(fma.f64 1 (+.f64 x x) (*.f64 x x))
(fma.f64 1 (*.f64 x x) (+.f64 x x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x 4)) (+.f64 x x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) 2) (.f64 x x))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) (+.f64 x x))
(fma.f64 (cbrt.f64 (+.f64 x x)) (pow.f64 (cbrt.f64 (+.f64 x x)) 2) (*.f64 x x))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x x)) 2) (cbrt.f64 (+.f64 x x)) (*.f64 x x))
(fma.f64 (sqrt.f64 x) (pow.f64 x 3/2) (+.f64 x x))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) 2) (.f64 x x))
(fma.f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 (+.f64 x x)) (*.f64 x x))
(fma.f64 (pow.f64 x 3/2) (sqrt.f64 x) (+.f64 x x))
(fma.f64 (pow.f64 (cbrt.f64 x) 5) (cbrt.f64 x) (+.f64 x x))
(fma.f64 (.f64 2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 x x))
(fma.f64 (.f64 2 (sqrt.f64 x)) (sqrt.f64 x) (.f64 x x))

Outputs
(pow.f64 y 2)
(*.f64 y y)
(+.f64 (*.f64 2 x) (pow.f64 y 2))
(fma.f64 2 x (*.f64 y y))
(fma.f64 y y (+.f64 x x))
(+.f64 (*.f64 2 x) (+.f64 (pow.f64 y 2) (pow.f64 x 2)))
(+.f64 (fma.f64 2 x (.f64 y y)) (.f64 x x))
(fma.f64 y y (*.f64 x (+.f64 2 x)))
(+.f64 (*.f64 2 x) (+.f64 (pow.f64 y 2) (pow.f64 x 2)))
(+.f64 (fma.f64 2 x (.f64 y y)) (.f64 x x))
(fma.f64 y y (*.f64 x (+.f64 2 x)))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(*.f64 x (+.f64 2 x))
(+.f64 (*.f64 2 x) (+.f64 (pow.f64 y 2) (pow.f64 x 2)))
(+.f64 (fma.f64 2 x (.f64 y y)) (.f64 x x))
(fma.f64 y y (*.f64 x (+.f64 2 x)))
(+.f64 (*.f64 2 x) (+.f64 (pow.f64 y 2) (pow.f64 x 2)))
(+.f64 (fma.f64 2 x (.f64 y y)) (.f64 x x))
(fma.f64 y y (*.f64 x (+.f64 2 x)))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(*.f64 x (+.f64 2 x))
(+.f64 (*.f64 2 x) (+.f64 (pow.f64 y 2) (pow.f64 x 2)))
(+.f64 (fma.f64 2 x (.f64 y y)) (.f64 x x))
(fma.f64 y y (*.f64 x (+.f64 2 x)))
(+.f64 (*.f64 2 x) (+.f64 (pow.f64 y 2) (pow.f64 x 2)))
(+.f64 (fma.f64 2 x (.f64 y y)) (.f64 x x))
(fma.f64 y y (*.f64 x (+.f64 2 x)))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(*.f64 x (+.f64 2 x))
(+.f64 (*.f64 2 x) (+.f64 (pow.f64 y 2) (pow.f64 x 2)))
(+.f64 (fma.f64 2 x (.f64 y y)) (.f64 x x))
(fma.f64 y y (*.f64 x (+.f64 2 x)))
(+.f64 (*.f64 2 x) (+.f64 (pow.f64 y 2) (pow.f64 x 2)))
(+.f64 (fma.f64 2 x (.f64 y y)) (.f64 x x))
(fma.f64 y y (*.f64 x (+.f64 2 x)))
(+.f64 (*.f64 2 x) (+.f64 (pow.f64 y 2) (pow.f64 x 2)))
(+.f64 (fma.f64 2 x (.f64 y y)) (.f64 x x))
(fma.f64 y y (*.f64 x (+.f64 2 x)))
(pow.f64 y 2)
(*.f64 y y)
(+.f64 (*.f64 2 x) (+.f64 (pow.f64 y 2) (pow.f64 x 2)))
(+.f64 (fma.f64 2 x (.f64 y y)) (.f64 x x))
(fma.f64 y y (*.f64 x (+.f64 2 x)))
(+.f64 (*.f64 2 x) (+.f64 (pow.f64 y 2) (pow.f64 x 2)))
(+.f64 (fma.f64 2 x (.f64 y y)) (.f64 x x))
(fma.f64 y y (*.f64 x (+.f64 2 x)))
(+.f64 (*.f64 2 x) (+.f64 (pow.f64 y 2) (pow.f64 x 2)))
(+.f64 (fma.f64 2 x (.f64 y y)) (.f64 x x))
(fma.f64 y y (*.f64 x (+.f64 2 x)))
(pow.f64 y 2)
(*.f64 y y)
(+.f64 (*.f64 2 x) (+.f64 (pow.f64 y 2) (pow.f64 x 2)))
(+.f64 (fma.f64 2 x (.f64 y y)) (.f64 x x))
(fma.f64 y y (*.f64 x (+.f64 2 x)))
(+.f64 (*.f64 2 x) (+.f64 (pow.f64 y 2) (pow.f64 x 2)))
(+.f64 (fma.f64 2 x (.f64 y y)) (.f64 x x))
(fma.f64 y y (*.f64 x (+.f64 2 x)))
(+.f64 (*.f64 2 x) (+.f64 (pow.f64 y 2) (pow.f64 x 2)))
(+.f64 (fma.f64 2 x (.f64 y y)) (.f64 x x))
(fma.f64 y y (*.f64 x (+.f64 2 x)))
(*.f64 2 x)
(+.f64 x x)
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(*.f64 x (+.f64 2 x))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(*.f64 x (+.f64 2 x))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(*.f64 x (+.f64 2 x))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(*.f64 x (+.f64 2 x))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(*.f64 x (+.f64 2 x))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(*.f64 x (+.f64 2 x))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(*.f64 x (+.f64 2 x))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(*.f64 x (+.f64 2 x))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(*.f64 x (+.f64 2 x))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x 2 (pow.f64 (hypot.f64 x y) 2)))) 1)
(fma.f64 2 x (pow.f64 (hypot.f64 x y) 2))
(-.f64 (/.f64 (pow.f64 (.f64 x (+.f64 x 2)) 2) (-.f64 (.f64 x (+.f64 x 2)) (.f64 y y))) (/.f64 (pow.f64 y 4) (-.f64 (.f64 x (+.f64 x 2)) (*.f64 y y))))
(/.f64 (-.f64 (pow.f64 (.f64 x (+.f64 2 x)) 2) (pow.f64 y 4)) (-.f64 (.f64 x (+.f64 2 x)) (*.f64 y y)))
(/.f64 (-.f64 (pow.f64 (.f64 x (+.f64 2 x)) 2) (pow.f64 y 4)) (fma.f64 x (+.f64 2 x) (.f64 y (neg.f64 y))))
(*.f64 (fma.f64 x 2 (pow.f64 (hypot.f64 x y) 2)) 1)
(fma.f64 2 x (pow.f64 (hypot.f64 x y) 2))
(*.f64 1 (fma.f64 x 2 (pow.f64 (hypot.f64 x y) 2)))
(fma.f64 2 x (pow.f64 (hypot.f64 x y) 2))
(*.f64 (cbrt.f64 (fma.f64 x 2 (pow.f64 (hypot.f64 x y) 2))) (pow.f64 (cbrt.f64 (fma.f64 x 2 (pow.f64 (hypot.f64 x y) 2))) 2))
(fma.f64 2 x (pow.f64 (hypot.f64 x y) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 2 (pow.f64 (hypot.f64 x y) 2))) 2) (cbrt.f64 (fma.f64 x 2 (pow.f64 (hypot.f64 x y) 2))))
(fma.f64 2 x (pow.f64 (hypot.f64 x y) 2))
(*.f64 (hypot.f64 y (hypot.f64 x (sqrt.f64 (+.f64 x x)))) (hypot.f64 y (hypot.f64 x (sqrt.f64 (+.f64 x x)))))
(pow.f64 (hypot.f64 y (hypot.f64 x (sqrt.f64 (+.f64 x x)))) 2)
(pow.f64 (hypot.f64 y (sqrt.f64 (*.f64 x (+.f64 2 x)))) 2)
(.f64 (+.f64 (pow.f64 (.f64 x (+.f64 x 2)) 3) (pow.f64 y 6)) (/.f64 1 (fma.f64 (.f64 y y) (-.f64 (.f64 y y) (.f64 x (+.f64 x 2))) (pow.f64 (.f64 x (+.f64 x 2)) 2))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 x (+.f64 2 x)) 3) (pow.f64 y 6)) 1) (fma.f64 (.f64 y y) (-.f64 (.f64 y y) (.f64 x (+.f64 2 x))) (pow.f64 (.f64 x (+.f64 2 x)) 2)))
(/.f64 (+.f64 (pow.f64 (.f64 x (+.f64 2 x)) 3) (pow.f64 y 6)) (fma.f64 (.f64 y y) (-.f64 (.f64 y y) (.f64 x (+.f64 2 x))) (pow.f64 (*.f64 x (+.f64 2 x)) 2)))
(/.f64 (+.f64 (pow.f64 (.f64 x (+.f64 2 x)) 3) (pow.f64 y 6)) (+.f64 (pow.f64 y 4) (.f64 (.f64 x (+.f64 2 x)) (fma.f64 x (+.f64 2 x) (.f64 y (neg.f64 y))))))
(.f64 (-.f64 (pow.f64 (.f64 x (+.f64 x 2)) 2) (pow.f64 y 4)) (/.f64 1 (-.f64 (.f64 x (+.f64 x 2)) (.f64 y y))))
(/.f64 (-.f64 (pow.f64 (.f64 x (+.f64 2 x)) 2) (pow.f64 y 4)) (-.f64 (.f64 x (+.f64 2 x)) (*.f64 y y)))
(/.f64 (-.f64 (pow.f64 (.f64 x (+.f64 2 x)) 2) (pow.f64 y 4)) (fma.f64 x (+.f64 2 x) (.f64 y (neg.f64 y))))
(/.f64 1 (/.f64 (fma.f64 (.f64 y y) (-.f64 (.f64 y y) (.f64 x (+.f64 x 2))) (pow.f64 (.f64 x (+.f64 x 2)) 2)) (+.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 3) (pow.f64 y 6))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 x (+.f64 2 x)) 3) (pow.f64 y 6)) 1) (fma.f64 (.f64 y y) (-.f64 (.f64 y y) (.f64 x (+.f64 2 x))) (pow.f64 (.f64 x (+.f64 2 x)) 2)))
(/.f64 (+.f64 (pow.f64 (.f64 x (+.f64 2 x)) 3) (pow.f64 y 6)) (fma.f64 (.f64 y y) (-.f64 (.f64 y y) (.f64 x (+.f64 2 x))) (pow.f64 (*.f64 x (+.f64 2 x)) 2)))
(/.f64 (+.f64 (pow.f64 (.f64 x (+.f64 2 x)) 3) (pow.f64 y 6)) (+.f64 (pow.f64 y 4) (.f64 (.f64 x (+.f64 2 x)) (fma.f64 x (+.f64 2 x) (.f64 y (neg.f64 y))))))
(/.f64 1 (/.f64 (-.f64 (.f64 x (+.f64 x 2)) (.f64 y y)) (-.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 2) (pow.f64 y 4))))
(/.f64 (-.f64 (pow.f64 (.f64 x (+.f64 2 x)) 2) (pow.f64 y 4)) (-.f64 (.f64 x (+.f64 2 x)) (*.f64 y y)))
(/.f64 (-.f64 (pow.f64 (.f64 x (+.f64 2 x)) 2) (pow.f64 y 4)) (fma.f64 x (+.f64 2 x) (.f64 y (neg.f64 y))))
(/.f64 (+.f64 (pow.f64 (.f64 x (+.f64 x 2)) 3) (pow.f64 y 6)) (fma.f64 (.f64 y y) (-.f64 (.f64 y y) (.f64 x (+.f64 x 2))) (pow.f64 (*.f64 x (+.f64 x 2)) 2)))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 x (+.f64 2 x)) 3) (pow.f64 y 6)) 1) (fma.f64 (.f64 y y) (-.f64 (.f64 y y) (.f64 x (+.f64 2 x))) (pow.f64 (.f64 x (+.f64 2 x)) 2)))
(/.f64 (+.f64 (pow.f64 (.f64 x (+.f64 2 x)) 3) (pow.f64 y 6)) (fma.f64 (.f64 y y) (-.f64 (.f64 y y) (.f64 x (+.f64 2 x))) (pow.f64 (*.f64 x (+.f64 2 x)) 2)))
(/.f64 (+.f64 (pow.f64 (.f64 x (+.f64 2 x)) 3) (pow.f64 y 6)) (+.f64 (pow.f64 y 4) (.f64 (.f64 x (+.f64 2 x)) (fma.f64 x (+.f64 2 x) (.f64 y (neg.f64 y))))))
(/.f64 (+.f64 (pow.f64 (.f64 x (+.f64 x 2)) 3) (pow.f64 y 6)) (+.f64 (pow.f64 y 4) (-.f64 (pow.f64 (.f64 x (+.f64 x 2)) 2) (.f64 (.f64 x (+.f64 x 2)) (*.f64 y y)))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 x (+.f64 2 x)) 3) (pow.f64 y 6)) 1) (fma.f64 (.f64 y y) (-.f64 (.f64 y y) (.f64 x (+.f64 2 x))) (pow.f64 (.f64 x (+.f64 2 x)) 2)))
(/.f64 (+.f64 (pow.f64 (.f64 x (+.f64 2 x)) 3) (pow.f64 y 6)) (fma.f64 (.f64 y y) (-.f64 (.f64 y y) (.f64 x (+.f64 2 x))) (pow.f64 (*.f64 x (+.f64 2 x)) 2)))
(/.f64 (+.f64 (pow.f64 (.f64 x (+.f64 2 x)) 3) (pow.f64 y 6)) (+.f64 (pow.f64 y 4) (.f64 (.f64 x (+.f64 2 x)) (fma.f64 x (+.f64 2 x) (.f64 y (neg.f64 y))))))
(/.f64 (-.f64 (pow.f64 (.f64 x (+.f64 x 2)) 2) (pow.f64 y 4)) (-.f64 (.f64 x (+.f64 x 2)) (*.f64 y y)))
(/.f64 (-.f64 (pow.f64 (.f64 x (+.f64 2 x)) 2) (pow.f64 y 4)) (-.f64 (.f64 x (+.f64 2 x)) (*.f64 y y)))
(/.f64 (-.f64 (pow.f64 (.f64 x (+.f64 2 x)) 2) (pow.f64 y 4)) (fma.f64 x (+.f64 2 x) (.f64 y (neg.f64 y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 x (+.f64 x 2)) 3) (pow.f64 y 6))) (neg.f64 (fma.f64 (.f64 y y) (-.f64 (.f64 y y) (.f64 x (+.f64 x 2))) (pow.f64 (*.f64 x (+.f64 x 2)) 2))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 x (+.f64 2 x)) 3) (pow.f64 y 6)) 1) (fma.f64 (.f64 y y) (-.f64 (.f64 y y) (.f64 x (+.f64 2 x))) (pow.f64 (.f64 x (+.f64 2 x)) 2)))
(/.f64 (+.f64 (pow.f64 (.f64 x (+.f64 2 x)) 3) (pow.f64 y 6)) (fma.f64 (.f64 y y) (-.f64 (.f64 y y) (.f64 x (+.f64 2 x))) (pow.f64 (*.f64 x (+.f64 2 x)) 2)))
(/.f64 (+.f64 (pow.f64 (.f64 x (+.f64 2 x)) 3) (pow.f64 y 6)) (+.f64 (pow.f64 y 4) (.f64 (.f64 x (+.f64 2 x)) (fma.f64 x (+.f64 2 x) (.f64 y (neg.f64 y))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 x (+.f64 x 2)) 2) (pow.f64 y 4))) (neg.f64 (-.f64 (.f64 x (+.f64 x 2)) (*.f64 y y))))
(/.f64 (-.f64 (pow.f64 (.f64 x (+.f64 2 x)) 2) (pow.f64 y 4)) (-.f64 (.f64 x (+.f64 2 x)) (*.f64 y y)))
(/.f64 (-.f64 (pow.f64 (.f64 x (+.f64 2 x)) 2) (pow.f64 y 4)) (fma.f64 x (+.f64 2 x) (.f64 y (neg.f64 y))))
(/.f64 (fma.f64 (pow.f64 x 3) 8 (pow.f64 (pow.f64 (hypot.f64 x y) 2) 3)) (fma.f64 (.f64 x x) 4 (-.f64 (pow.f64 (pow.f64 (hypot.f64 x y) 2) 2) (.f64 (+.f64 x x) (pow.f64 (hypot.f64 x y) 2)))))
(/.f64 (fma.f64 (pow.f64 x 3) 8 (pow.f64 (pow.f64 (hypot.f64 x y) 2) 3)) (fma.f64 (.f64 x x) 4 (-.f64 (pow.f64 (pow.f64 (hypot.f64 x y) 2) 2) (.f64 (pow.f64 (hypot.f64 x y) 2) (+.f64 x x)))))
(/.f64 (fma.f64 (pow.f64 x 3) 8 (pow.f64 (pow.f64 (hypot.f64 x y) 2) 3)) (fma.f64 x (.f64 x 4) (-.f64 (pow.f64 (hypot.f64 x y) 4) (.f64 2 (*.f64 x (pow.f64 (hypot.f64 x y) 2))))))
(/.f64 (fma.f64 (pow.f64 x 3) 8 (pow.f64 (hypot.f64 x y) 6)) (fma.f64 x (.f64 x 4) (+.f64 (pow.f64 (hypot.f64 x y) 4) (.f64 (pow.f64 (hypot.f64 x y) 2) (*.f64 x -2)))))
(/.f64 (-.f64 (.f64 (.f64 x x) 4) (pow.f64 (pow.f64 (hypot.f64 x y) 2) 2)) (-.f64 (+.f64 x x) (pow.f64 (hypot.f64 x y) 2)))
(/.f64 (-.f64 (.f64 x (.f64 x 4)) (pow.f64 (pow.f64 (hypot.f64 x y) 2) 2)) (-.f64 (+.f64 x x) (pow.f64 (hypot.f64 x y) 2)))
(/.f64 (-.f64 (.f64 x (.f64 x 4)) (pow.f64 (hypot.f64 x y) 4)) (-.f64 (+.f64 x x) (pow.f64 (hypot.f64 x y) 2)))
(/.f64 (-.f64 (pow.f64 y 4) (pow.f64 (.f64 x (+.f64 x 2)) 2)) (-.f64 (.f64 y y) (*.f64 x (+.f64 x 2))))
(/.f64 (-.f64 (pow.f64 (.f64 x (+.f64 2 x)) 2) (pow.f64 y 4)) (-.f64 (.f64 x (+.f64 2 x)) (*.f64 y y)))
(/.f64 (-.f64 (pow.f64 (.f64 x (+.f64 2 x)) 2) (pow.f64 y 4)) (fma.f64 x (+.f64 2 x) (.f64 y (neg.f64 y))))
(pow.f64 (fma.f64 x 2 (pow.f64 (hypot.f64 x y) 2)) 1)
(fma.f64 2 x (pow.f64 (hypot.f64 x y) 2))
(pow.f64 (pow.f64 (fma.f64 x 2 (pow.f64 (hypot.f64 x y) 2)) 2) 1/2)
(fma.f64 2 x (pow.f64 (hypot.f64 x y) 2))
(pow.f64 (pow.f64 (fma.f64 x 2 (pow.f64 (hypot.f64 x y) 2)) 3) 1/3)
(fma.f64 2 x (pow.f64 (hypot.f64 x y) 2))
(pow.f64 (cbrt.f64 (fma.f64 x 2 (pow.f64 (hypot.f64 x y) 2))) 3)
(fma.f64 2 x (pow.f64 (hypot.f64 x y) 2))
(pow.f64 (hypot.f64 y (hypot.f64 x (sqrt.f64 (+.f64 x x)))) 2)
(pow.f64 (hypot.f64 y (sqrt.f64 (*.f64 x (+.f64 2 x)))) 2)
(pow.f64 (/.f64 (fma.f64 (.f64 y y) (-.f64 (.f64 y y) (.f64 x (+.f64 x 2))) (pow.f64 (.f64 x (+.f64 x 2)) 2)) (+.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 3) (pow.f64 y 6))) -1)
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 x (+.f64 2 x)) 3) (pow.f64 y 6)) 1) (fma.f64 (.f64 y y) (-.f64 (.f64 y y) (.f64 x (+.f64 2 x))) (pow.f64 (.f64 x (+.f64 2 x)) 2)))
(/.f64 (+.f64 (pow.f64 (.f64 x (+.f64 2 x)) 3) (pow.f64 y 6)) (fma.f64 (.f64 y y) (-.f64 (.f64 y y) (.f64 x (+.f64 2 x))) (pow.f64 (*.f64 x (+.f64 2 x)) 2)))
(/.f64 (+.f64 (pow.f64 (.f64 x (+.f64 2 x)) 3) (pow.f64 y 6)) (+.f64 (pow.f64 y 4) (.f64 (.f64 x (+.f64 2 x)) (fma.f64 x (+.f64 2 x) (.f64 y (neg.f64 y))))))
(pow.f64 (/.f64 (-.f64 (.f64 x (+.f64 x 2)) (.f64 y y)) (-.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 2) (pow.f64 y 4))) -1)
(/.f64 (-.f64 (pow.f64 (.f64 x (+.f64 2 x)) 2) (pow.f64 y 4)) (-.f64 (.f64 x (+.f64 2 x)) (*.f64 y y)))
(/.f64 (-.f64 (pow.f64 (.f64 x (+.f64 2 x)) 2) (pow.f64 y 4)) (fma.f64 x (+.f64 2 x) (.f64 y (neg.f64 y))))
(sqrt.f64 (pow.f64 (fma.f64 x 2 (pow.f64 (hypot.f64 x y) 2)) 2))
(fma.f64 2 x (pow.f64 (hypot.f64 x y) 2))
(log.f64 (exp.f64 (fma.f64 x 2 (pow.f64 (hypot.f64 x y) 2))))
(fma.f64 2 x (pow.f64 (hypot.f64 x y) 2))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 2 (pow.f64 (hypot.f64 x y) 2)))))
(fma.f64 2 x (pow.f64 (hypot.f64 x y) 2))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 x x))) (exp.f64 (pow.f64 (hypot.f64 x y) 2))))
(fma.f64 2 x (pow.f64 (hypot.f64 x y) 2))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 x x))) (pow.f64 (exp.f64 1) (pow.f64 (hypot.f64 x y) 2))))
(fma.f64 2 x (pow.f64 (hypot.f64 x y) 2))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x (+.f64 x 2)))) (pow.f64 (exp.f64 y) y)))
(+.f64 (fma.f64 2 x (.f64 y y)) (.f64 x x))
(fma.f64 y y (*.f64 x (+.f64 2 x)))
(log.f64 (.f64 (pow.f64 (exp.f64 x) (+.f64 x 2)) (+.f64 1 (expm1.f64 (.f64 y y)))))
(+.f64 (fma.f64 2 x (.f64 y y)) (.f64 x x))
(fma.f64 y y (*.f64 x (+.f64 2 x)))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x (+.f64 x 2)))) (+.f64 1 (expm1.f64 (*.f64 y y)))))
(+.f64 (fma.f64 2 x (.f64 y y)) (.f64 x x))
(fma.f64 y y (*.f64 x (+.f64 2 x)))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 y y))) (pow.f64 (exp.f64 x) (+.f64 x 2))))
(+.f64 (fma.f64 2 x (.f64 y y)) (.f64 x x))
(fma.f64 y y (*.f64 x (+.f64 2 x)))
(log.f64 (.f64 (pow.f64 (exp.f64 y) y) (+.f64 1 (expm1.f64 (.f64 x (+.f64 x 2))))))
(+.f64 (fma.f64 2 x (.f64 y y)) (.f64 x x))
(fma.f64 y y (*.f64 x (+.f64 2 x)))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 y y))) (+.f64 1 (expm1.f64 (*.f64 x (+.f64 x 2))))))
(+.f64 (fma.f64 2 x (.f64 y y)) (.f64 x x))
(fma.f64 y y (*.f64 x (+.f64 2 x)))
(log.f64 (*.f64 (exp.f64 (pow.f64 (hypot.f64 x y) 2)) (pow.f64 (exp.f64 x) 2)))
(fma.f64 2 x (pow.f64 (hypot.f64 x y) 2))
(log.f64 (*.f64 (exp.f64 (pow.f64 (hypot.f64 x y) 2)) (+.f64 1 (expm1.f64 (+.f64 x x)))))
(fma.f64 2 x (pow.f64 (hypot.f64 x y) 2))
(log.f64 (*.f64 (pow.f64 (exp.f64 1) (pow.f64 (hypot.f64 x y) 2)) (+.f64 1 (expm1.f64 (+.f64 x x)))))
(fma.f64 2 x (pow.f64 (hypot.f64 x y) 2))
(cbrt.f64 (pow.f64 (fma.f64 x 2 (pow.f64 (hypot.f64 x y) 2)) 3))
(fma.f64 2 x (pow.f64 (hypot.f64 x y) 2))
(expm1.f64 (log1p.f64 (fma.f64 x 2 (pow.f64 (hypot.f64 x y) 2))))
(fma.f64 2 x (pow.f64 (hypot.f64 x y) 2))
(log1p.f64 (expm1.f64 (fma.f64 x 2 (pow.f64 (hypot.f64 x y) 2))))
(fma.f64 2 x (pow.f64 (hypot.f64 x y) 2))
(exp.f64 (log.f64 (fma.f64 x 2 (pow.f64 (hypot.f64 x y) 2))))
(fma.f64 2 x (pow.f64 (hypot.f64 x y) 2))
(exp.f64 (*.f64 (log.f64 (fma.f64 x 2 (pow.f64 (hypot.f64 x y) 2))) 1))
(fma.f64 2 x (pow.f64 (hypot.f64 x y) 2))
(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 x 2 (pow.f64 (hypot.f64 x y) 2)))) 1/3))
(fma.f64 2 x (pow.f64 (hypot.f64 x y) 2))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x 2 (pow.f64 (hypot.f64 x y) 2)))) 3))
(fma.f64 2 x (pow.f64 (hypot.f64 x y) 2))
(exp.f64 (*.f64 (log.f64 (hypot.f64 y (hypot.f64 x (sqrt.f64 (+.f64 x x))))) 2))
(pow.f64 (hypot.f64 y (hypot.f64 x (sqrt.f64 (+.f64 x x)))) 2)
(pow.f64 (hypot.f64 y (sqrt.f64 (*.f64 x (+.f64 2 x)))) 2)
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 x 2 (pow.f64 (hypot.f64 x y) 2))) 1) 1))
(fma.f64 2 x (pow.f64 (hypot.f64 x y) 2))
(fma.f64 x x (fma.f64 x 2 (*.f64 y y)))
(+.f64 (fma.f64 2 x (.f64 y y)) (.f64 x x))
(fma.f64 y y (*.f64 x (+.f64 2 x)))
(fma.f64 x 2 (pow.f64 (hypot.f64 x y) 2))
(fma.f64 2 x (pow.f64 (hypot.f64 x y) 2))
(fma.f64 x 2 (*.f64 (pow.f64 (hypot.f64 x y) 2) 1))
(fma.f64 2 x (pow.f64 (hypot.f64 x y) 2))
(fma.f64 x (+.f64 x 2) (*.f64 y y))
(+.f64 (fma.f64 2 x (.f64 y y)) (.f64 x x))
(fma.f64 y y (*.f64 x (+.f64 2 x)))
(fma.f64 2 x (pow.f64 (hypot.f64 x y) 2))
(fma.f64 2 x (*.f64 (pow.f64 (hypot.f64 x y) 2) 1))
(fma.f64 2 x (pow.f64 (hypot.f64 x y) 2))
(fma.f64 (+.f64 x x) 1 (pow.f64 (hypot.f64 x y) 2))
(fma.f64 2 x (pow.f64 (hypot.f64 x y) 2))
(fma.f64 (+.f64 x x) 1 (*.f64 (pow.f64 (hypot.f64 x y) 2) 1))
(fma.f64 2 x (pow.f64 (hypot.f64 x y) 2))
(fma.f64 (.f64 x x) 1 (fma.f64 x 2 (.f64 y y)))
(+.f64 (fma.f64 2 x (.f64 y y)) (.f64 x x))
(fma.f64 y y (*.f64 x (+.f64 2 x)))
(fma.f64 (.f64 x (+.f64 x 2)) 1 (.f64 y y))
(+.f64 (fma.f64 2 x (.f64 y y)) (.f64 x x))
(fma.f64 y y (*.f64 x (+.f64 2 x)))
(fma.f64 y y (*.f64 x (+.f64 x 2)))
(+.f64 (fma.f64 2 x (.f64 y y)) (.f64 x x))
(fma.f64 y y (*.f64 x (+.f64 2 x)))
(fma.f64 (.f64 y y) 1 (.f64 x (+.f64 x 2)))
(+.f64 (fma.f64 2 x (.f64 y y)) (.f64 x x))
(fma.f64 y y (*.f64 x (+.f64 2 x)))
(fma.f64 1 (+.f64 x x) (pow.f64 (hypot.f64 x y) 2))
(fma.f64 2 x (pow.f64 (hypot.f64 x y) 2))
(fma.f64 1 (+.f64 x x) (*.f64 (pow.f64 (hypot.f64 x y) 2) 1))
(fma.f64 2 x (pow.f64 (hypot.f64 x y) 2))
(fma.f64 1 (.f64 x x) (fma.f64 x 2 (.f64 y y)))
(+.f64 (fma.f64 2 x (.f64 y y)) (.f64 x x))
(fma.f64 y y (*.f64 x (+.f64 2 x)))
(fma.f64 1 (.f64 x (+.f64 x 2)) (.f64 y y))
(+.f64 (fma.f64 2 x (.f64 y y)) (.f64 x x))
(fma.f64 y y (*.f64 x (+.f64 2 x)))
(fma.f64 1 (.f64 y y) (.f64 x (+.f64 x 2)))
(+.f64 (fma.f64 2 x (.f64 y y)) (.f64 x x))
(fma.f64 y y (*.f64 x (+.f64 2 x)))
(fma.f64 1 (pow.f64 (hypot.f64 x y) 2) (+.f64 x x))
(fma.f64 2 x (pow.f64 (hypot.f64 x y) 2))
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 (pow.f64 y 4)) (*.f64 x (+.f64 x 2)))
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 (pow.f64 y 4)) (*.f64 x (+.f64 2 x)))
(fma.f64 (cbrt.f64 (pow.f64 y 4)) (pow.f64 (cbrt.f64 y) 2) (*.f64 x (+.f64 x 2)))
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 (pow.f64 y 4)) (*.f64 x (+.f64 2 x)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x 4)) (fma.f64 x 2 (*.f64 y y)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x 4)) (fma.f64 2 x (*.f64 y y)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x 4)) (fma.f64 y y (+.f64 x x)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (+.f64 x 2)) (.f64 y y))
(+.f64 (fma.f64 2 x (.f64 y y)) (.f64 x x))
(fma.f64 y y (*.f64 x (+.f64 2 x)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 2) (pow.f64 (hypot.f64 x y) 2))
(fma.f64 2 x (pow.f64 (hypot.f64 x y) 2))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) 2) (.f64 (pow.f64 (hypot.f64 x y) 2) 1))
(fma.f64 2 x (pow.f64 (hypot.f64 x y) 2))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) (fma.f64 x 2 (*.f64 y y)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x 4)) (fma.f64 2 x (*.f64 y y)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x 4)) (fma.f64 y y (+.f64 x x)))
(fma.f64 (cbrt.f64 (.f64 x (+.f64 x 2))) (pow.f64 (cbrt.f64 (.f64 x (+.f64 x 2))) 2) (*.f64 y y))
(+.f64 (fma.f64 2 x (.f64 y y)) (.f64 x x))
(fma.f64 y y (*.f64 x (+.f64 2 x)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 x 2))) 2) (cbrt.f64 (.f64 x (+.f64 x 2))) (*.f64 y y))
(+.f64 (fma.f64 2 x (.f64 y y)) (.f64 x x))
(fma.f64 y y (*.f64 x (+.f64 2 x)))
(fma.f64 (cbrt.f64 (+.f64 x x)) (pow.f64 (cbrt.f64 (+.f64 x x)) 2) (pow.f64 (hypot.f64 x y) 2))
(fma.f64 2 x (pow.f64 (hypot.f64 x y) 2))
(fma.f64 (cbrt.f64 (+.f64 x x)) (pow.f64 (cbrt.f64 (+.f64 x x)) 2) (*.f64 (pow.f64 (hypot.f64 x y) 2) 1))
(fma.f64 2 x (pow.f64 (hypot.f64 x y) 2))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x x)) 2) (cbrt.f64 (+.f64 x x)) (pow.f64 (hypot.f64 x y) 2))
(fma.f64 2 x (pow.f64 (hypot.f64 x y) 2))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x x)) 2) (cbrt.f64 (+.f64 x x)) (*.f64 (pow.f64 (hypot.f64 x y) 2) 1))
(fma.f64 2 x (pow.f64 (hypot.f64 x y) 2))
(fma.f64 (sqrt.f64 x) (pow.f64 x 3/2) (fma.f64 x 2 (*.f64 y y)))
(fma.f64 (sqrt.f64 x) (pow.f64 x 3/2) (fma.f64 2 x (*.f64 y y)))
(fma.f64 (sqrt.f64 x) (pow.f64 x 3/2) (fma.f64 y y (+.f64 x x)))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (+.f64 x 2)) (.f64 y y))
(+.f64 (fma.f64 2 x (.f64 y y)) (.f64 x x))
(fma.f64 y y (*.f64 x (+.f64 2 x)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 2) (pow.f64 (hypot.f64 x y) 2))
(fma.f64 2 x (pow.f64 (hypot.f64 x y) 2))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) 2) (.f64 (pow.f64 (hypot.f64 x y) 2) 1))
(fma.f64 2 x (pow.f64 (hypot.f64 x y) 2))
(fma.f64 (hypot.f64 x (sqrt.f64 (+.f64 x x))) (hypot.f64 x (sqrt.f64 (+.f64 x x))) (*.f64 y y))
(+.f64 (fma.f64 2 x (.f64 y y)) (.f64 x x))
(fma.f64 y y (*.f64 x (+.f64 2 x)))
(fma.f64 (sqrt.f64 y) (pow.f64 y 3/2) (*.f64 x (+.f64 x 2)))
(fma.f64 (sqrt.f64 y) (pow.f64 y 3/2) (*.f64 x (+.f64 2 x)))
(fma.f64 (pow.f64 y 3/2) (sqrt.f64 y) (*.f64 x (+.f64 2 x)))
(fma.f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 (+.f64 x x)) (pow.f64 (hypot.f64 x y) 2))
(fma.f64 2 x (pow.f64 (hypot.f64 x y) 2))
(fma.f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 (+.f64 x x)) (*.f64 (pow.f64 (hypot.f64 x y) 2) 1))
(fma.f64 2 x (pow.f64 (hypot.f64 x y) 2))
(fma.f64 (fma.f64 (pow.f64 x 3) 8 (pow.f64 x 6)) (/.f64 1 (-.f64 (fma.f64 (.f64 x x) 4 (pow.f64 x 4)) (.f64 2 (pow.f64 x 3)))) (*.f64 y y))
(fma.f64 (fma.f64 (pow.f64 x 3) 8 (pow.f64 x 6)) (/.f64 1 (+.f64 (fma.f64 (.f64 x x) 4 (pow.f64 x 4)) (.f64 -2 (pow.f64 x 3)))) (*.f64 y y))
(+.f64 (.f64 y y) (/.f64 (fma.f64 (pow.f64 x 3) 8 (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (fma.f64 x (.f64 x 4) (*.f64 (pow.f64 x 3) -2)))))
(+.f64 (.f64 y y) (/.f64 (fma.f64 (pow.f64 x 3) 8 (pow.f64 x 6)) (+.f64 (.f64 x (.f64 x 4)) (.f64 (pow.f64 x 3) (+.f64 x -2)))))
(fma.f64 (-.f64 (.f64 (.f64 x x) 4) (pow.f64 x 4)) (/.f64 1 (.f64 x (-.f64 2 x))) (.f64 y y))
(fma.f64 (-.f64 (.f64 x (.f64 x 4)) (pow.f64 x 4)) (/.f64 (/.f64 1 x) (-.f64 2 x)) (*.f64 y y))
(+.f64 (.f64 y y) (/.f64 (-.f64 (.f64 x (.f64 x 4)) (pow.f64 x 4)) (.f64 x (-.f64 2 x))))
(+.f64 (.f64 y y) (/.f64 (.f64 (.f64 x x) (fma.f64 x x -4)) (.f64 x (+.f64 x -2))))
(fma.f64 (+.f64 x 2) x (*.f64 y y))
(+.f64 (fma.f64 2 x (.f64 y y)) (.f64 x x))
(fma.f64 y y (*.f64 x (+.f64 2 x)))
(fma.f64 (pow.f64 y 3/2) (sqrt.f64 y) (*.f64 x (+.f64 x 2)))
(fma.f64 (sqrt.f64 y) (pow.f64 y 3/2) (*.f64 x (+.f64 2 x)))
(fma.f64 (pow.f64 y 3/2) (sqrt.f64 y) (*.f64 x (+.f64 2 x)))
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 x y) 2)) 2) (cbrt.f64 (pow.f64 (hypot.f64 x y) 2)) (+.f64 x x))
(fma.f64 2 x (pow.f64 (hypot.f64 x y) 2))
(fma.f64 (hypot.f64 x y) (hypot.f64 x y) (+.f64 x x))
(fma.f64 2 x (pow.f64 (hypot.f64 x y) 2))
(fma.f64 (pow.f64 x 3/2) (sqrt.f64 x) (fma.f64 x 2 (*.f64 y y)))
(fma.f64 (sqrt.f64 x) (pow.f64 x 3/2) (fma.f64 2 x (*.f64 y y)))
(fma.f64 (sqrt.f64 x) (pow.f64 x 3/2) (fma.f64 y y (+.f64 x x)))
(fma.f64 (pow.f64 (cbrt.f64 y) 5) (cbrt.f64 y) (*.f64 x (+.f64 x 2)))
(fma.f64 (pow.f64 (cbrt.f64 y) 5) (cbrt.f64 y) (*.f64 x (+.f64 2 x)))
(+.f64 (*.f64 x (+.f64 2 x)) (pow.f64 (cbrt.f64 y) 6))
(fma.f64 (pow.f64 (cbrt.f64 x) 5) (cbrt.f64 x) (fma.f64 x 2 (*.f64 y y)))
(+.f64 (fma.f64 2 x (.f64 y y)) (.f64 x x))
(fma.f64 y y (*.f64 x (+.f64 2 x)))
(fma.f64 (*.f64 2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (pow.f64 (hypot.f64 x y) 2))
(fma.f64 2 x (pow.f64 (hypot.f64 x y) 2))
(fma.f64 (.f64 2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 (pow.f64 (hypot.f64 x y) 2) 1))
(fma.f64 2 x (pow.f64 (hypot.f64 x y) 2))
(fma.f64 (*.f64 2 (sqrt.f64 x)) (sqrt.f64 x) (pow.f64 (hypot.f64 x y) 2))
(fma.f64 2 x (pow.f64 (hypot.f64 x y) 2))
(fma.f64 (.f64 2 (sqrt.f64 x)) (sqrt.f64 x) (.f64 (pow.f64 (hypot.f64 x y) 2) 1))
(fma.f64 2 x (pow.f64 (hypot.f64 x y) 2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 x 2)))) 1)
(*.f64 x (+.f64 2 x))
(-.f64 (/.f64 (.f64 (.f64 x x) 4) (.f64 x (-.f64 2 x))) (/.f64 (pow.f64 x 4) (.f64 x (-.f64 2 x))))
(/.f64 (-.f64 (.f64 x (.f64 x 4)) (pow.f64 x 4)) (*.f64 x (-.f64 2 x)))
(/.f64 (.f64 (.f64 x x) (fma.f64 x x -4)) (*.f64 x (+.f64 x -2)))
(*.f64 x (+.f64 x 2))
(*.f64 x (+.f64 2 x))
(.f64 (.f64 x (+.f64 x 2)) 1)
(*.f64 x (+.f64 2 x))
(.f64 1 (.f64 x (+.f64 x 2)))
(*.f64 x (+.f64 2 x))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (+.f64 x 2)))
(*.f64 x (+.f64 2 x))
(.f64 (cbrt.f64 (.f64 x (+.f64 x 2))) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 2))
(*.f64 x (+.f64 2 x))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 x 2))) 2) (cbrt.f64 (*.f64 x (+.f64 x 2))))
(*.f64 x (+.f64 2 x))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (+.f64 x 2)))
(*.f64 x (+.f64 2 x))
(*.f64 (hypot.f64 x (sqrt.f64 (+.f64 x x))) (hypot.f64 x (sqrt.f64 (+.f64 x x))))
(*.f64 x (+.f64 2 x))
(.f64 (fma.f64 (pow.f64 x 3) 8 (pow.f64 x 6)) (/.f64 1 (-.f64 (fma.f64 (.f64 x x) 4 (pow.f64 x 4)) (*.f64 2 (pow.f64 x 3)))))
(/.f64 1 (/.f64 (+.f64 (fma.f64 (.f64 x x) 4 (pow.f64 x 4)) (.f64 -2 (pow.f64 x 3))) (fma.f64 (pow.f64 x 3) 8 (pow.f64 x 6))))
(/.f64 (fma.f64 (pow.f64 x 3) 8 (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (fma.f64 x (.f64 x 4) (.f64 (pow.f64 x 3) -2))))
(/.f64 (fma.f64 (pow.f64 x 3) 8 (pow.f64 x 6)) (+.f64 (.f64 x (.f64 x 4)) (*.f64 (pow.f64 x 3) (+.f64 x -2))))
(.f64 (-.f64 (.f64 (.f64 x x) 4) (pow.f64 x 4)) (/.f64 1 (.f64 x (-.f64 2 x))))
(/.f64 (-.f64 (.f64 x (.f64 x 4)) (pow.f64 x 4)) (*.f64 x (-.f64 2 x)))
(/.f64 (.f64 (.f64 x x) (fma.f64 x x -4)) (*.f64 x (+.f64 x -2)))
(*.f64 (+.f64 x 2) x)
(*.f64 x (+.f64 2 x))
(/.f64 1 (/.f64 (-.f64 (fma.f64 (.f64 x x) 4 (pow.f64 x 4)) (.f64 2 (pow.f64 x 3))) (fma.f64 (pow.f64 x 3) 8 (pow.f64 x 6))))
(/.f64 1 (/.f64 (+.f64 (fma.f64 (.f64 x x) 4 (pow.f64 x 4)) (.f64 -2 (pow.f64 x 3))) (fma.f64 (pow.f64 x 3) 8 (pow.f64 x 6))))
(/.f64 (fma.f64 (pow.f64 x 3) 8 (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (fma.f64 x (.f64 x 4) (.f64 (pow.f64 x 3) -2))))
(/.f64 (fma.f64 (pow.f64 x 3) 8 (pow.f64 x 6)) (+.f64 (.f64 x (.f64 x 4)) (*.f64 (pow.f64 x 3) (+.f64 x -2))))
(/.f64 1 (/.f64 (.f64 x (-.f64 2 x)) (-.f64 (.f64 (*.f64 x x) 4) (pow.f64 x 4))))
(/.f64 (-.f64 (.f64 x (.f64 x 4)) (pow.f64 x 4)) (*.f64 x (-.f64 2 x)))
(/.f64 (.f64 (.f64 x x) (fma.f64 x x -4)) (*.f64 x (+.f64 x -2)))
(/.f64 (fma.f64 (pow.f64 x 3) 8 (pow.f64 x 6)) (-.f64 (fma.f64 (.f64 x x) 4 (pow.f64 x 4)) (.f64 2 (pow.f64 x 3))))
(/.f64 1 (/.f64 (+.f64 (fma.f64 (.f64 x x) 4 (pow.f64 x 4)) (.f64 -2 (pow.f64 x 3))) (fma.f64 (pow.f64 x 3) 8 (pow.f64 x 6))))
(/.f64 (fma.f64 (pow.f64 x 3) 8 (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (fma.f64 x (.f64 x 4) (.f64 (pow.f64 x 3) -2))))
(/.f64 (fma.f64 (pow.f64 x 3) 8 (pow.f64 x 6)) (+.f64 (.f64 x (.f64 x 4)) (*.f64 (pow.f64 x 3) (+.f64 x -2))))
(/.f64 (fma.f64 (pow.f64 x 3) 8 (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (-.f64 (.f64 (.f64 x x) 4) (*.f64 2 (pow.f64 x 3)))))
(/.f64 1 (/.f64 (+.f64 (fma.f64 (.f64 x x) 4 (pow.f64 x 4)) (.f64 -2 (pow.f64 x 3))) (fma.f64 (pow.f64 x 3) 8 (pow.f64 x 6))))
(/.f64 (fma.f64 (pow.f64 x 3) 8 (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (fma.f64 x (.f64 x 4) (.f64 (pow.f64 x 3) -2))))
(/.f64 (fma.f64 (pow.f64 x 3) 8 (pow.f64 x 6)) (+.f64 (.f64 x (.f64 x 4)) (*.f64 (pow.f64 x 3) (+.f64 x -2))))
(/.f64 (-.f64 (.f64 (.f64 x x) 4) (pow.f64 x 4)) (*.f64 x (-.f64 2 x)))
(/.f64 (-.f64 (.f64 x (.f64 x 4)) (pow.f64 x 4)) (*.f64 x (-.f64 2 x)))
(/.f64 (.f64 (.f64 x x) (fma.f64 x x -4)) (*.f64 x (+.f64 x -2)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 3) 8 (pow.f64 x 6))) (neg.f64 (-.f64 (fma.f64 (.f64 x x) 4 (pow.f64 x 4)) (.f64 2 (pow.f64 x 3)))))
(/.f64 1 (/.f64 (+.f64 (fma.f64 (.f64 x x) 4 (pow.f64 x 4)) (.f64 -2 (pow.f64 x 3))) (fma.f64 (pow.f64 x 3) 8 (pow.f64 x 6))))
(/.f64 (fma.f64 (pow.f64 x 3) 8 (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (fma.f64 x (.f64 x 4) (.f64 (pow.f64 x 3) -2))))
(/.f64 (fma.f64 (pow.f64 x 3) 8 (pow.f64 x 6)) (+.f64 (.f64 x (.f64 x 4)) (*.f64 (pow.f64 x 3) (+.f64 x -2))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 x x) 4) (pow.f64 x 4))) (neg.f64 (*.f64 x (-.f64 2 x))))
(/.f64 (-.f64 (.f64 x (.f64 x 4)) (pow.f64 x 4)) (*.f64 x (-.f64 2 x)))
(/.f64 (.f64 (.f64 x x) (fma.f64 x x -4)) (*.f64 x (+.f64 x -2)))
(/.f64 (-.f64 (pow.f64 x 4) (.f64 (.f64 x x) 4)) (fma.f64 x x (neg.f64 (+.f64 x x))))
(/.f64 (-.f64 (.f64 x (.f64 x 4)) (pow.f64 x 4)) (*.f64 x (-.f64 2 x)))
(/.f64 (.f64 (.f64 x x) (fma.f64 x x -4)) (*.f64 x (+.f64 x -2)))
(pow.f64 (*.f64 x (+.f64 x 2)) 1)
(*.f64 x (+.f64 2 x))
(pow.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 2) 1/2)
(*.f64 x (+.f64 2 x))
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 3)
(*.f64 x (+.f64 2 x))
(pow.f64 (hypot.f64 x (sqrt.f64 (+.f64 x x))) 2)
(*.f64 x (+.f64 2 x))
(pow.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 3) 1/3)
(*.f64 x (+.f64 2 x))
(pow.f64 (/.f64 (-.f64 (fma.f64 (.f64 x x) 4 (pow.f64 x 4)) (.f64 2 (pow.f64 x 3))) (fma.f64 (pow.f64 x 3) 8 (pow.f64 x 6))) -1)
(/.f64 1 (/.f64 (+.f64 (fma.f64 (.f64 x x) 4 (pow.f64 x 4)) (.f64 -2 (pow.f64 x 3))) (fma.f64 (pow.f64 x 3) 8 (pow.f64 x 6))))
(/.f64 (fma.f64 (pow.f64 x 3) 8 (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (fma.f64 x (.f64 x 4) (.f64 (pow.f64 x 3) -2))))
(/.f64 (fma.f64 (pow.f64 x 3) 8 (pow.f64 x 6)) (+.f64 (.f64 x (.f64 x 4)) (*.f64 (pow.f64 x 3) (+.f64 x -2))))
(pow.f64 (/.f64 (.f64 x (-.f64 2 x)) (-.f64 (.f64 (*.f64 x x) 4) (pow.f64 x 4))) -1)
(/.f64 (-.f64 (.f64 x (.f64 x 4)) (pow.f64 x 4)) (*.f64 x (-.f64 2 x)))
(/.f64 (.f64 (.f64 x x) (fma.f64 x x -4)) (*.f64 x (+.f64 x -2)))
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 2))
(*.f64 x (+.f64 2 x))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 x 2)))
(*.f64 x (+.f64 2 x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 x 2)))))
(*.f64 x (+.f64 2 x))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 x x))) (pow.f64 (exp.f64 x) x)))
(*.f64 x (+.f64 2 x))
(log.f64 (.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (expm1.f64 (.f64 x x)))))
(*.f64 x (+.f64 2 x))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (+.f64 x x))) (+.f64 1 (expm1.f64 (.f64 x x)))))
(*.f64 x (+.f64 2 x))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x x))) (pow.f64 (exp.f64 x) 2)))
(*.f64 x (+.f64 2 x))
(log.f64 (*.f64 (pow.f64 (exp.f64 x) x) (+.f64 1 (expm1.f64 (+.f64 x x)))))
(*.f64 x (+.f64 2 x))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x x))) (+.f64 1 (expm1.f64 (+.f64 x x)))))
(*.f64 x (+.f64 2 x))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 3))
(*.f64 x (+.f64 2 x))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 x 2))))
(*.f64 x (+.f64 2 x))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 x 2))))
(*.f64 x (+.f64 2 x))
(exp.f64 (log.f64 (*.f64 x (+.f64 x 2))))
(*.f64 x (+.f64 2 x))
(exp.f64 (.f64 (log.f64 (.f64 x (+.f64 x 2))) 1))
(*.f64 x (+.f64 2 x))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (+.f64 x 2)))) 3))
(*.f64 x (+.f64 2 x))
(exp.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 (+.f64 x x)))) 2))
(*.f64 x (+.f64 2 x))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 x (+.f64 x 2)))) 1/3))
(*.f64 x (+.f64 2 x))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (+.f64 x 2))) 1) 1))
(*.f64 x (+.f64 2 x))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (+.f64 x 2))) 3) 1/3))
(*.f64 x (+.f64 2 x))
(fma.f64 x x (+.f64 x x))
(*.f64 x (+.f64 2 x))
(fma.f64 x 2 (*.f64 x x))
(*.f64 x (+.f64 2 x))
(fma.f64 2 x (*.f64 x x))
(*.f64 x (+.f64 2 x))
(fma.f64 (+.f64 x x) 1 (*.f64 x x))
(*.f64 x (+.f64 2 x))
(fma.f64 (*.f64 x x) 1 (+.f64 x x))
(*.f64 x (+.f64 2 x))
(fma.f64 1 (+.f64 x x) (*.f64 x x))
(*.f64 x (+.f64 2 x))
(fma.f64 1 (*.f64 x x) (+.f64 x x))
(*.f64 x (+.f64 2 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x 4)) (+.f64 x x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) 2) (.f64 x x))
(*.f64 x (+.f64 2 x))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) (+.f64 x x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x 4)) (+.f64 x x))
(fma.f64 (cbrt.f64 (+.f64 x x)) (pow.f64 (cbrt.f64 (+.f64 x x)) 2) (*.f64 x x))
(*.f64 x (+.f64 2 x))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x x)) 2) (cbrt.f64 (+.f64 x x)) (*.f64 x x))
(*.f64 x (+.f64 2 x))
(fma.f64 (sqrt.f64 x) (pow.f64 x 3/2) (+.f64 x x))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) 2) (.f64 x x))
(*.f64 x (+.f64 2 x))
(fma.f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 (+.f64 x x)) (*.f64 x x))
(*.f64 x (+.f64 2 x))
(fma.f64 (pow.f64 x 3/2) (sqrt.f64 x) (+.f64 x x))
(fma.f64 (sqrt.f64 x) (pow.f64 x 3/2) (+.f64 x x))
(fma.f64 (pow.f64 (cbrt.f64 x) 5) (cbrt.f64 x) (+.f64 x x))
(*.f64 x (+.f64 2 x))
(fma.f64 (.f64 2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 x x))
(*.f64 x (+.f64 2 x))
(fma.f64 (.f64 2 (sqrt.f64 x)) (sqrt.f64 x) (.f64 x x))
(*.f64 x (+.f64 2 x))

localize8.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 19 to 9 computations (52.6% saved)

series2.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite40.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

742×	`pow1_binary64`
690×	`add-log-exp_binary64`
689×	`log1p-expm1-u_binary64`
689×	`expm1-log1p-u_binary64`
675×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	150	11
2	1860	11

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs

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

simplify38.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

430×	`associate-l_binary64`
403×	`fma-neg_binary64`
359×	`associate-r_binary64`
327×	`cancel-sign-sub-inv_binary64`
286×	`times-frac_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	64	618
1	176	513
2	689	506
3	4414	481

Stop Event

1×	node limit

Counts

45 → 43

Calls

Call 1

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

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

eval181.0ms (6%)

Compiler: Compiled 6836 to 3710 computations (45.7% saved)

prune77.0ms (2.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	429	6	435
Fresh	0	0	0
Picked	1	0	1
Done	1	1	2
Total	431	7	438

Error

Counts

438 → 7

Alt Table

Click to see full alt table

Status	Error	Program
▶	16.3b	(fma.f64 y y (+.f64 x x))
✓	0.0b	(+.f64 (+.f64 (.f64 x 2) (.f64 x x)) (*.f64 y y))
	16.3b	(+.f64 (+.f64 x x) (*.f64 y y))
▶	22.2b	(+.f64 (.f64 x x) (.f64 y y))
▶	23.7b	(*.f64 (+.f64 2 x) x)
▶	37.9b	(*.f64 y y)
▶	45.5b	(*.f64 x x)

Compiler

Compiled 99 to 58 computations (41.4% saved)

localize5.0ms (0.2%)

Compiler: Compiled 13 to 4 computations (69.2% saved)

localize5.0ms (0.2%)

Compiler: Compiled 6 to 3 computations (50% saved)

localize3.0ms (0.1%)

Compiler: Compiled 6 to 3 computations (50% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 12 to 8 computations (33.3% saved)

series2.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

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

rewrite37.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

583×	`pow1_binary64`
547×	`add-log-exp_binary64`
546×	`log1p-expm1-u_binary64`
546×	`expm1-log1p-u_binary64`
538×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	111	7
2	1433	7

Stop Event

1×	node limit

Counts

1 → 17

Calls

Call 1

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

Outputs

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

simplify42.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

761×	`fma-def_binary64`
632×	`log-prod_binary64`
378×	`*-commutative_binary64`
321×	`associate-l_binary64`
286×	`associate-r_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	52	242
1	135	234
2	412	234
3	2527	234
4	6155	234

Stop Event

1×	node limit

Counts

29 → 28

Calls

Call 1

Inputs
(*.f64 2 x)
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(+.f64 (.f64 x x) (.f64 2 x))
(+.f64 (.f64 2 x) (.f64 x x))
(-.f64 (+.f64 1 (*.f64 x (+.f64 2 x))) 1)
(/.f64 (.f64 (+.f64 8 (pow.f64 x 3)) x) (+.f64 4 (.f64 x (-.f64 x 2))))
(/.f64 (.f64 (-.f64 4 (.f64 x x)) x) (-.f64 2 x))
(/.f64 (.f64 x (+.f64 8 (pow.f64 x 3))) (+.f64 4 (.f64 x (-.f64 x 2))))
(/.f64 (.f64 x (-.f64 4 (.f64 x x))) (-.f64 2 x))
(pow.f64 (*.f64 x (+.f64 2 x)) 1)
(pow.f64 (pow.f64 (*.f64 x (+.f64 2 x)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 2 x))) 3)
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 2 x))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 2 x)) 2))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 2 x)))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 2 x)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 2 x))))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 2 x))))
(exp.f64 (log.f64 (*.f64 x (+.f64 2 x))))

Outputs
(*.f64 2 x)
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(*.f64 x (+.f64 2 x))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(*.f64 x (+.f64 2 x))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(*.f64 x (+.f64 2 x))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(*.f64 x (+.f64 2 x))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(*.f64 x (+.f64 2 x))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(*.f64 x (+.f64 2 x))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(*.f64 x (+.f64 2 x))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(*.f64 x (+.f64 2 x))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(*.f64 x (+.f64 2 x))
(+.f64 (.f64 x x) (.f64 2 x))
(*.f64 x (+.f64 2 x))
(+.f64 (.f64 2 x) (.f64 x x))
(*.f64 x (+.f64 2 x))
(-.f64 (+.f64 1 (*.f64 x (+.f64 2 x))) 1)
(*.f64 x (+.f64 2 x))
(/.f64 (.f64 (+.f64 8 (pow.f64 x 3)) x) (+.f64 4 (.f64 x (-.f64 x 2))))
(/.f64 (.f64 x (+.f64 8 (pow.f64 x 3))) (+.f64 4 (.f64 x (+.f64 x -2))))
(/.f64 (fma.f64 x 8 (pow.f64 x 4)) (fma.f64 x (+.f64 x -2) 4))
(/.f64 (.f64 (-.f64 4 (.f64 x x)) x) (-.f64 2 x))
(/.f64 (-.f64 4 (*.f64 x x)) (/.f64 (-.f64 2 x) x))
(.f64 (/.f64 x (-.f64 2 x)) (-.f64 4 (.f64 x x)))
(.f64 (-.f64 4 (.f64 x x)) (/.f64 x (-.f64 2 x)))
(.f64 x (/.f64 (-.f64 4 (.f64 x x)) (-.f64 2 x)))
(/.f64 (.f64 x (+.f64 8 (pow.f64 x 3))) (+.f64 4 (.f64 x (-.f64 x 2))))
(/.f64 (.f64 x (+.f64 8 (pow.f64 x 3))) (+.f64 4 (.f64 x (+.f64 x -2))))
(/.f64 (fma.f64 x 8 (pow.f64 x 4)) (fma.f64 x (+.f64 x -2) 4))
(/.f64 (.f64 x (-.f64 4 (.f64 x x))) (-.f64 2 x))
(/.f64 (-.f64 4 (*.f64 x x)) (/.f64 (-.f64 2 x) x))
(.f64 (/.f64 x (-.f64 2 x)) (-.f64 4 (.f64 x x)))
(.f64 (-.f64 4 (.f64 x x)) (/.f64 x (-.f64 2 x)))
(.f64 x (/.f64 (-.f64 4 (.f64 x x)) (-.f64 2 x)))
(pow.f64 (*.f64 x (+.f64 2 x)) 1)
(*.f64 x (+.f64 2 x))
(pow.f64 (pow.f64 (*.f64 x (+.f64 2 x)) 3) 1/3)
(*.f64 x (+.f64 2 x))
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 2 x))) 3)
(*.f64 x (+.f64 2 x))
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 2 x))) 2)
(*.f64 x (+.f64 2 x))
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 2 x)) 2))
(*.f64 x (+.f64 2 x))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 2 x)))
(*.f64 x (+.f64 2 x))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 2 x)) 3))
(*.f64 x (+.f64 2 x))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 2 x))))
(*.f64 x (+.f64 2 x))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 2 x))))
(*.f64 x (+.f64 2 x))
(exp.f64 (log.f64 (*.f64 x (+.f64 2 x))))
(*.f64 x (+.f64 2 x))

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 17 to 5 computations (70.6% saved)

series3.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite43.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

650×	`pow1_binary64`
606×	`add-log-exp_binary64`
606×	`log1p-expm1-u_binary64`
606×	`expm1-log1p-u_binary64`
589×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	129	7
2	1751	7

Stop Event

1×	node limit

Counts

1 → 33

Calls

Call 1

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

Outputs

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

simplify43.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

612×	`log-prod_binary64`
556×	`fma-neg_binary64`
524×	`div-sub_binary64`
404×	`associate-l_binary64`
381×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	88	746
1	219	683
2	747	635
3	4639	569

Stop Event

1×	node limit

Counts

57 → 47

Calls

Call 1

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

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

eval19.0ms (0.7%)

Compiler: Compiled 793 to 470 computations (40.7% saved)

prune12.0ms (0.4%)

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	73	2	75
Fresh	0	1	1
Picked	0	1	1
Done	1	4	5
Total	74	8	82

Error

Counts

82 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	16.3b	(fma.f64 y y (+.f64 x x))
▶	16.3b	(+.f64 (+.f64 x x) (*.f64 y y))
✓	22.2b	(+.f64 (.f64 x x) (.f64 y y))
▶	23.7b	(+.f64 (.f64 x x) (.f64 2 x))
✓	23.7b	(*.f64 (+.f64 2 x) x)
✓	37.9b	(*.f64 y y)
✓	45.5b	(*.f64 x x)
▶	40.2b	(*.f64 2 x)

Compiler

Compiled 57 to 35 computations (38.6% saved)

localize3.0ms (0.1%)

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

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 17 to 9 computations (47.1% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite42.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

683×	`pow1_binary64`
641×	`add-log-exp_binary64`
640×	`log1p-expm1-u_binary64`
640×	`expm1-log1p-u_binary64`
627×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	133	7
2	1793	7

Stop Event

1×	node limit

Counts

1 → 39

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (+.f64 x 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 x 4) (*.f64 x (-.f64 x 2))) (/.f64 (*.f64 (*.f64 x x) 4) (*.f64 x (-.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (+.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (+.f64 x 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 2) (cbrt.f64 (*.f64 x (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 x (sqrt.f64 (*.f64 x 2))) (hypot.f64 x (sqrt.f64 (*.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 6) (*.f64 (pow.f64 x 3) 8)) (/.f64 1 (+.f64 (pow.f64 x 4) (-.f64 (*.f64 (*.f64 x x) 4) (*.f64 (pow.f64 x 3) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x 4) (*.f64 (*.f64 x x) 4)) (/.f64 1 (*.f64 x (-.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x 2) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 x 4) (-.f64 (*.f64 (*.f64 x x) 4) (*.f64 (pow.f64 x 3) 2))) (+.f64 (pow.f64 x 6) (*.f64 (pow.f64 x 3) 8))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 x (-.f64 x 2)) (-.f64 (pow.f64 x 4) (*.f64 (*.f64 x x) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 6) (*.f64 (pow.f64 x 3) 8)) (+.f64 (pow.f64 x 4) (-.f64 (*.f64 (*.f64 x x) 4) (*.f64 (pow.f64 x 3) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 6) (*.f64 (pow.f64 x 3) 8)) (+.f64 (*.f64 (*.f64 x x) 4) (-.f64 (pow.f64 x 4) (*.f64 (pow.f64 x 3) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 4) (*.f64 (*.f64 x x) 4)) (*.f64 x (-.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 6) (*.f64 (pow.f64 x 3) 8))) (neg.f64 (+.f64 (pow.f64 x 4) (-.f64 (*.f64 (*.f64 x x) 4) (*.f64 (pow.f64 x 3) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x 4) (*.f64 (*.f64 x x) 4))) (neg.f64 (*.f64 x (-.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x x) 4) (pow.f64 x 4)) (-.f64 (*.f64 x 2) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (+.f64 x 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 x (sqrt.f64 (*.f64 x 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x x (*.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 2 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 x (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x x) (*.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x 2) (*.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 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 2)) 2) (cbrt.f64 (*.f64 x 2)) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x 2)) (sqrt.f64 (*.f64 x 2)) (*.f64 x x))))))

simplify42.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

529×	`fma-neg_binary64`
520×	`cancel-sign-sub-inv_binary64`
433×	`div-sub_binary64`
340×	`times-frac_binary64`
283×	`log-prod_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	100	624
1	283	589
2	969	526
3	4726	526

Stop Event

1×	node limit

Counts

51 → 56

Calls

Call 1

Inputs
(*.f64 2 x)
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(-.f64 (+.f64 1 (*.f64 x (+.f64 x 2))) 1)
(-.f64 (/.f64 (pow.f64 x 4) (.f64 x (-.f64 x 2))) (/.f64 (.f64 (.f64 x x) 4) (.f64 x (-.f64 x 2))))
(*.f64 x (+.f64 x 2))
(.f64 (.f64 x (+.f64 x 2)) 1)
(.f64 1 (.f64 x (+.f64 x 2)))
(.f64 (cbrt.f64 (.f64 x (+.f64 x 2))) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 x 2))) 2) (cbrt.f64 (*.f64 x (+.f64 x 2))))
(.f64 (cbrt.f64 (.f64 x x)) (*.f64 (cbrt.f64 x) (+.f64 x 2)))
(.f64 (hypot.f64 x (sqrt.f64 (.f64 x 2))) (hypot.f64 x (sqrt.f64 (*.f64 x 2))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (+.f64 x 2)))
(.f64 (+.f64 (pow.f64 x 6) (.f64 (pow.f64 x 3) 8)) (/.f64 1 (+.f64 (pow.f64 x 4) (-.f64 (.f64 (.f64 x x) 4) (*.f64 (pow.f64 x 3) 2)))))
(.f64 (-.f64 (pow.f64 x 4) (.f64 (.f64 x x) 4)) (/.f64 1 (.f64 x (-.f64 x 2))))
(*.f64 (+.f64 x 2) x)
(/.f64 1 (/.f64 (+.f64 (pow.f64 x 4) (-.f64 (.f64 (.f64 x x) 4) (.f64 (pow.f64 x 3) 2))) (+.f64 (pow.f64 x 6) (.f64 (pow.f64 x 3) 8))))
(/.f64 1 (/.f64 (.f64 x (-.f64 x 2)) (-.f64 (pow.f64 x 4) (.f64 (*.f64 x x) 4))))
(/.f64 (+.f64 (pow.f64 x 6) (.f64 (pow.f64 x 3) 8)) (+.f64 (pow.f64 x 4) (-.f64 (.f64 (.f64 x x) 4) (.f64 (pow.f64 x 3) 2))))
(/.f64 (+.f64 (pow.f64 x 6) (.f64 (pow.f64 x 3) 8)) (+.f64 (.f64 (.f64 x x) 4) (-.f64 (pow.f64 x 4) (.f64 (pow.f64 x 3) 2))))
(/.f64 (-.f64 (pow.f64 x 4) (.f64 (.f64 x x) 4)) (*.f64 x (-.f64 x 2)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 6) (.f64 (pow.f64 x 3) 8))) (neg.f64 (+.f64 (pow.f64 x 4) (-.f64 (.f64 (.f64 x x) 4) (.f64 (pow.f64 x 3) 2)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 4) (.f64 (.f64 x x) 4))) (neg.f64 (*.f64 x (-.f64 x 2))))
(/.f64 (-.f64 (.f64 (.f64 x x) 4) (pow.f64 x 4)) (-.f64 (.f64 x 2) (.f64 x x)))
(pow.f64 (*.f64 x (+.f64 x 2)) 1)
(pow.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 3)
(pow.f64 (hypot.f64 x (sqrt.f64 (*.f64 x 2))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 2))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 x 2)))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 x 2))))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 x 2))))
(exp.f64 (log.f64 (*.f64 x (+.f64 x 2))))
(fma.f64 x x (*.f64 x 2))
(fma.f64 x 2 (*.f64 x x))
(fma.f64 2 x (*.f64 x x))
(fma.f64 1 (.f64 x x) (.f64 x 2))
(fma.f64 1 (.f64 x 2) (.f64 x x))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (.f64 x x)) (.f64 x 2))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 2)) 2) (cbrt.f64 (.f64 x 2)) (*.f64 x x))
(fma.f64 (sqrt.f64 (.f64 x 2)) (sqrt.f64 (.f64 x 2)) (*.f64 x x))

Outputs
(*.f64 2 x)
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(*.f64 x (+.f64 2 x))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(*.f64 x (+.f64 2 x))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(*.f64 x (+.f64 2 x))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(*.f64 x (+.f64 2 x))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(*.f64 x (+.f64 2 x))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(*.f64 x (+.f64 2 x))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(*.f64 x (+.f64 2 x))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(*.f64 x (+.f64 2 x))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(*.f64 x (+.f64 2 x))
(-.f64 (+.f64 1 (*.f64 x (+.f64 x 2))) 1)
(*.f64 x (+.f64 2 x))
(-.f64 (/.f64 (pow.f64 x 4) (.f64 x (-.f64 x 2))) (/.f64 (.f64 (.f64 x x) 4) (.f64 x (-.f64 x 2))))
(/.f64 (-.f64 (pow.f64 x 4) (.f64 4 (.f64 x x))) (*.f64 x (+.f64 x -2)))
(/.f64 (.f64 (.f64 x x) (-.f64 (.f64 x x) 4)) (.f64 x (+.f64 x -2)))
(*.f64 x (/.f64 (fma.f64 x x -4) (+.f64 x -2)))
(*.f64 x (+.f64 x 2))
(*.f64 x (+.f64 2 x))
(.f64 (.f64 x (+.f64 x 2)) 1)
(*.f64 x (+.f64 2 x))
(.f64 1 (.f64 x (+.f64 x 2)))
(*.f64 x (+.f64 2 x))
(.f64 (cbrt.f64 (.f64 x (+.f64 x 2))) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 2))
(*.f64 x (+.f64 2 x))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 x 2))) 2) (cbrt.f64 (*.f64 x (+.f64 x 2))))
(*.f64 x (+.f64 2 x))
(.f64 (cbrt.f64 (.f64 x x)) (*.f64 (cbrt.f64 x) (+.f64 x 2)))
(.f64 (cbrt.f64 (.f64 x x)) (*.f64 (+.f64 2 x) (cbrt.f64 x)))
(.f64 (+.f64 2 x) (.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x)))
(.f64 (hypot.f64 x (sqrt.f64 (.f64 x 2))) (hypot.f64 x (sqrt.f64 (*.f64 x 2))))
(*.f64 x (+.f64 2 x))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (+.f64 x 2)))
(*.f64 x (+.f64 2 x))
(.f64 (+.f64 (pow.f64 x 6) (.f64 (pow.f64 x 3) 8)) (/.f64 1 (+.f64 (pow.f64 x 4) (-.f64 (.f64 (.f64 x x) 4) (*.f64 (pow.f64 x 3) 2)))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 x 4) (-.f64 (.f64 4 (.f64 x x)) (.f64 2 (pow.f64 x 3)))) (+.f64 (pow.f64 x 6) (.f64 (pow.f64 x 3) 8))))
(/.f64 (fma.f64 (pow.f64 x 3) 8 (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (fma.f64 x (.f64 x 4) (.f64 (pow.f64 x 3) -2))))
(/.f64 (fma.f64 (pow.f64 x 3) 8 (pow.f64 x 6)) (.f64 (.f64 x x) (-.f64 (fma.f64 x x 4) (*.f64 2 x))))
(/.f64 (fma.f64 (pow.f64 x 3) 8 (pow.f64 x 6)) (.f64 (.f64 x x) (+.f64 (fma.f64 x x 4) (*.f64 x -2))))
(.f64 (-.f64 (pow.f64 x 4) (.f64 (.f64 x x) 4)) (/.f64 1 (.f64 x (-.f64 x 2))))
(/.f64 (-.f64 (pow.f64 x 4) (.f64 4 (.f64 x x))) (*.f64 x (+.f64 x -2)))
(/.f64 (.f64 (.f64 x x) (-.f64 (.f64 x x) 4)) (.f64 x (+.f64 x -2)))
(*.f64 x (/.f64 (fma.f64 x x -4) (+.f64 x -2)))
(*.f64 (+.f64 x 2) x)
(*.f64 x (+.f64 2 x))
(/.f64 1 (/.f64 (+.f64 (pow.f64 x 4) (-.f64 (.f64 (.f64 x x) 4) (.f64 (pow.f64 x 3) 2))) (+.f64 (pow.f64 x 6) (.f64 (pow.f64 x 3) 8))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 x 4) (-.f64 (.f64 4 (.f64 x x)) (.f64 2 (pow.f64 x 3)))) (+.f64 (pow.f64 x 6) (.f64 (pow.f64 x 3) 8))))
(/.f64 (fma.f64 (pow.f64 x 3) 8 (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (fma.f64 x (.f64 x 4) (.f64 (pow.f64 x 3) -2))))
(/.f64 (fma.f64 (pow.f64 x 3) 8 (pow.f64 x 6)) (.f64 (.f64 x x) (-.f64 (fma.f64 x x 4) (*.f64 2 x))))
(/.f64 (fma.f64 (pow.f64 x 3) 8 (pow.f64 x 6)) (.f64 (.f64 x x) (+.f64 (fma.f64 x x 4) (*.f64 x -2))))
(/.f64 1 (/.f64 (.f64 x (-.f64 x 2)) (-.f64 (pow.f64 x 4) (.f64 (*.f64 x x) 4))))
(/.f64 (-.f64 (pow.f64 x 4) (.f64 4 (.f64 x x))) (*.f64 x (+.f64 x -2)))
(/.f64 (.f64 (.f64 x x) (-.f64 (.f64 x x) 4)) (.f64 x (+.f64 x -2)))
(*.f64 x (/.f64 (fma.f64 x x -4) (+.f64 x -2)))
(/.f64 (+.f64 (pow.f64 x 6) (.f64 (pow.f64 x 3) 8)) (+.f64 (pow.f64 x 4) (-.f64 (.f64 (.f64 x x) 4) (.f64 (pow.f64 x 3) 2))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 x 4) (-.f64 (.f64 4 (.f64 x x)) (.f64 2 (pow.f64 x 3)))) (+.f64 (pow.f64 x 6) (.f64 (pow.f64 x 3) 8))))
(/.f64 (fma.f64 (pow.f64 x 3) 8 (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (fma.f64 x (.f64 x 4) (.f64 (pow.f64 x 3) -2))))
(/.f64 (fma.f64 (pow.f64 x 3) 8 (pow.f64 x 6)) (.f64 (.f64 x x) (-.f64 (fma.f64 x x 4) (*.f64 2 x))))
(/.f64 (fma.f64 (pow.f64 x 3) 8 (pow.f64 x 6)) (.f64 (.f64 x x) (+.f64 (fma.f64 x x 4) (*.f64 x -2))))
(/.f64 (+.f64 (pow.f64 x 6) (.f64 (pow.f64 x 3) 8)) (+.f64 (.f64 (.f64 x x) 4) (-.f64 (pow.f64 x 4) (.f64 (pow.f64 x 3) 2))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 x 4) (-.f64 (.f64 4 (.f64 x x)) (.f64 2 (pow.f64 x 3)))) (+.f64 (pow.f64 x 6) (.f64 (pow.f64 x 3) 8))))
(/.f64 (fma.f64 (pow.f64 x 3) 8 (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (fma.f64 x (.f64 x 4) (.f64 (pow.f64 x 3) -2))))
(/.f64 (fma.f64 (pow.f64 x 3) 8 (pow.f64 x 6)) (.f64 (.f64 x x) (-.f64 (fma.f64 x x 4) (*.f64 2 x))))
(/.f64 (fma.f64 (pow.f64 x 3) 8 (pow.f64 x 6)) (.f64 (.f64 x x) (+.f64 (fma.f64 x x 4) (*.f64 x -2))))
(/.f64 (-.f64 (pow.f64 x 4) (.f64 (.f64 x x) 4)) (*.f64 x (-.f64 x 2)))
(/.f64 (-.f64 (pow.f64 x 4) (.f64 4 (.f64 x x))) (*.f64 x (+.f64 x -2)))
(/.f64 (.f64 (.f64 x x) (-.f64 (.f64 x x) 4)) (.f64 x (+.f64 x -2)))
(*.f64 x (/.f64 (fma.f64 x x -4) (+.f64 x -2)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 6) (.f64 (pow.f64 x 3) 8))) (neg.f64 (+.f64 (pow.f64 x 4) (-.f64 (.f64 (.f64 x x) 4) (.f64 (pow.f64 x 3) 2)))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 x 4) (-.f64 (.f64 4 (.f64 x x)) (.f64 2 (pow.f64 x 3)))) (+.f64 (pow.f64 x 6) (.f64 (pow.f64 x 3) 8))))
(/.f64 (fma.f64 (pow.f64 x 3) 8 (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (fma.f64 x (.f64 x 4) (.f64 (pow.f64 x 3) -2))))
(/.f64 (fma.f64 (pow.f64 x 3) 8 (pow.f64 x 6)) (.f64 (.f64 x x) (-.f64 (fma.f64 x x 4) (*.f64 2 x))))
(/.f64 (fma.f64 (pow.f64 x 3) 8 (pow.f64 x 6)) (.f64 (.f64 x x) (+.f64 (fma.f64 x x 4) (*.f64 x -2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 4) (.f64 (.f64 x x) 4))) (neg.f64 (*.f64 x (-.f64 x 2))))
(/.f64 (-.f64 (pow.f64 x 4) (.f64 4 (.f64 x x))) (*.f64 x (+.f64 x -2)))
(/.f64 (.f64 (.f64 x x) (-.f64 (.f64 x x) 4)) (.f64 x (+.f64 x -2)))
(*.f64 x (/.f64 (fma.f64 x x -4) (+.f64 x -2)))
(/.f64 (-.f64 (.f64 (.f64 x x) 4) (pow.f64 x 4)) (-.f64 (.f64 x 2) (.f64 x x)))
(/.f64 (-.f64 (pow.f64 x 4) (.f64 4 (.f64 x x))) (*.f64 x (+.f64 x -2)))
(/.f64 (.f64 (.f64 x x) (-.f64 (.f64 x x) 4)) (.f64 x (+.f64 x -2)))
(*.f64 x (/.f64 (fma.f64 x x -4) (+.f64 x -2)))
(pow.f64 (*.f64 x (+.f64 x 2)) 1)
(*.f64 x (+.f64 2 x))
(pow.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 3) 1/3)
(*.f64 x (+.f64 2 x))
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 3)
(*.f64 x (+.f64 2 x))
(pow.f64 (hypot.f64 x (sqrt.f64 (*.f64 x 2))) 2)
(*.f64 x (+.f64 2 x))
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 2))
(*.f64 x (+.f64 2 x))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 x 2)))
(*.f64 x (+.f64 2 x))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 3))
(*.f64 x (+.f64 2 x))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 x 2))))
(*.f64 x (+.f64 2 x))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 x 2))))
(*.f64 x (+.f64 2 x))
(exp.f64 (log.f64 (*.f64 x (+.f64 x 2))))
(*.f64 x (+.f64 2 x))
(fma.f64 x x (*.f64 x 2))
(*.f64 x (+.f64 2 x))
(fma.f64 x 2 (*.f64 x x))
(*.f64 x (+.f64 2 x))
(fma.f64 2 x (*.f64 x x))
(*.f64 x (+.f64 2 x))
(fma.f64 1 (.f64 x x) (.f64 x 2))
(*.f64 x (+.f64 2 x))
(fma.f64 1 (.f64 x 2) (.f64 x x))
(*.f64 x (+.f64 2 x))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (.f64 x x)) (.f64 x 2))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (.f64 x x)) (.f64 2 x))
(fma.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 (pow.f64 x 4)) (.f64 2 x))
(fma.f64 2 x (.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 (pow.f64 x 4))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 2)) 2) (cbrt.f64 (.f64 x 2)) (*.f64 x x))
(*.f64 x (+.f64 2 x))
(fma.f64 (sqrt.f64 (.f64 x 2)) (sqrt.f64 (.f64 x 2)) (*.f64 x x))
(*.f64 x (+.f64 2 x))

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 17 to 5 computations (70.6% saved)

series2.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite42.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

748×	`pow1_binary64`
702×	`add-log-exp_binary64`
701×	`log1p-expm1-u_binary64`
701×	`expm1-log1p-u_binary64`
686×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	10
1	138	8
2	2168	8

Stop Event

1×	node limit

Counts

1 → 38

Calls

Call 1

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

Outputs

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

simplify51.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

963×	`div-sub_binary64`
460×	`associate-l_binary64`
432×	`associate-r_binary64`
397×	`log-prod_binary64`
379×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	101	780
1	284	717
2	1029	670
3	5879	670

Stop Event

1×	node limit

Counts

62 → 61

Calls

Call 1

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

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

eval43.0ms (1.4%)

Compiler: Compiled 1505 to 724 computations (51.9% saved)

prune19.0ms (0.6%)

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	117	0	117
Fresh	0	0	0
Picked	0	1	1
Done	0	7	7
Total	117	8	125

Error

Counts

125 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	16.3b	(fma.f64 y y (+.f64 x x))
✓	16.3b	(+.f64 (+.f64 x x) (*.f64 y y))
✓	22.2b	(+.f64 (.f64 x x) (.f64 y y))
✓	23.7b	(+.f64 (.f64 x x) (.f64 2 x))
✓	23.7b	(*.f64 (+.f64 2 x) x)
✓	37.9b	(*.f64 y y)
✓	45.5b	(*.f64 x x)
✓	40.2b	(*.f64 2 x)

Compiler

Compiled 57 to 35 computations (38.6% saved)

regimes65.0ms (2.2%)

Counts

11 → 1

Calls

Call 1

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

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

Calls

5 calls:

26.0ms	x
17.0ms	(*.f64 y y)
7.0ms	(+.f64 (+.f64 (.f64 x 2) (.f64 x x)) (*.f64 y y))
6.0ms	(+.f64 (.f64 x 2) (.f64 x x))
6.0ms	y

Results

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

Compiler

Compiled 104 to 48 computations (53.8% saved)

regimes16.0ms (0.5%)

Counts

8 → 1

Calls

Call 1

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

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

Calls

3 calls:

6.0ms	y
5.0ms	x
3.0ms	(*.f64 y y)

Results

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

Compiler

Compiled 57 to 26 computations (54.4% saved)

regimes80.0ms (2.7%)

Counts

7 → 3

Calls

Call 1

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

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

Calls

3 calls:

37.0ms	y
35.0ms	x
6.0ms	(*.f64 y y)

Results

Error	Segments	Branch
0.9b	3	`x`
2.7b	3	`y`
3.0b	2	`(*.f64 y y)`

Compiler

Compiled 48 to 22 computations (54.2% saved)

bsearch58.0ms (1.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
43.0ms	1.0581515406219453	11642240232693254.0
14.0ms	-11801875599321.648	-7762213824.041273

Results

54.0ms

288×

body

256

valid

Compiler

Compiled 378 to 228 computations (39.7% saved)

regimes51.0ms (1.7%)

Counts

6 → 3

Calls

Call 1

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

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

Calls

3 calls:

31.0ms	x
14.0ms	y
5.0ms	(*.f64 y y)

Results

Error	Segments	Branch
14.1b	7	`x`
2.7b	3	`y`
3.0b	2	`(*.f64 y y)`

Compiler

Compiled 41 to 20 computations (51.2% saved)

bsearch29.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
15.0ms	4.763025922637582e-86	6.402585473445806e-80
14.0ms	-3.0341644197631234e-69	-6.003671473728697e-74

Results

26.0ms

272×

body

256

valid

Compiler

Compiled 358 to 233 computations (34.9% saved)

regimes58.0ms (2%)

Counts

5 → 4

Calls

Call 1

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

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

Calls

3 calls:

26.0ms	(*.f64 y y)
19.0ms	x
12.0ms	y

Results

Error	Segments	Branch
18.4b	5	`x`
8.1b	3	`y`
7.2b	4	`(*.f64 y y)`

Compiler

Compiled 34 to 19 computations (44.1% saved)

bsearch36.0ms (1.2%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
12.0ms	1.7684533263876257e+47	1.4218999041771017e+49
15.0ms	2.322414368086495e+36	7.761884435601866e+41
9.0ms	1.821711359024401e-128	4.3759103183828317e-128

Results

32.0ms

336×

body

256

valid

Compiler

Compiled 248 to 174 computations (29.8% saved)

regimes44.0ms (1.5%)

Counts

4 → 4

Calls

Call 1

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

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

Calls

3 calls:

21.0ms	x
13.0ms	y
10.0ms	(*.f64 y y)

Results

Error	Segments	Branch
18.5b	5	`x`
8.1b	3	`y`
7.2b	4	`(*.f64 y y)`

Compiler

Compiled 27 to 16 computations (40.7% saved)

bsearch36.0ms (1.2%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
13.0ms	1.7684533263876257e+47	1.4218999041771017e+49
15.0ms	2.322414368086495e+36	7.761884435601866e+41
9.0ms	1.821711359024401e-128	4.3759103183828317e-128

Results

32.0ms

336×

body

256

valid

Compiler

Compiled 238 to 169 computations (29% saved)

regimes47.0ms (1.6%)

Counts

3 → 4

Calls

Call 1

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

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

Calls

3 calls:

26.0ms	x
11.0ms	y
9.0ms	(*.f64 y y)

Results

Error	Segments	Branch
19.3b	7	`x`
19.0b	3	`y`
18.0b	4	`(*.f64 y y)`

Compiler

Compiled 22 to 13 computations (40.9% saved)

bsearch34.0ms (1.1%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
11.0ms	1.7684533263876257e+47	1.4218999041771017e+49
14.0ms	2.322414368086495e+36	7.761884435601866e+41
8.0ms	1.821711359024401e-128	4.3759103183828317e-128

Results

30.0ms

336×

body

256

valid

Compiler

Compiled 228 to 164 computations (28.1% saved)

regimes19.0ms (0.6%)

Accuracy

Total -36.7b remaining (-149.3%)

Threshold costs -36.7b (-149.3%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

2 calls:

9.0ms	y
9.0ms	x

Results

Error	Segments	Branch
24.6b	3	`x`
34.4b	3	`y`

Compiler

Compiled 14 to 9 computations (35.7% saved)

bsearch32.0ms (1.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
19.0ms	1.0581515406219453	11642240232693254.0
13.0ms	-0.0021145320642315816	-1.3807360612119784e-5

Results

28.0ms

272×

body

256

valid

Compiler

Compiled 222 to 165 computations (25.7% saved)

simplify32.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

6×	`+-commutative_binary64`
2×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	279
1	58	279

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(+.f64 (+.f64 (.f64 x 2) (.f64 x x)) (*.f64 y y))
(+.f64 (.f64 x (+.f64 2 x)) (.f64 y y))
(if (<=.f64 x -7800000000) (+.f64 (.f64 x x) (.f64 y y)) (if (<=.f64 x 2) (+.f64 (+.f64 x x) (.f64 y y)) (+.f64 (.f64 x x) (*.f64 y y))))
(if (<=.f64 y -2486616182048933/248661618204893321077691124073410420050228075398673858720231988446579748506266687766528) (+.f64 (.f64 x x) (.f64 y y)) (if (<=.f64 y 5339967589802275/266998379490113760299377713271194014325338065294581596243380200977777465722580068752870260867072) (+.f64 (.f64 x x) (.f64 2 x)) (+.f64 (.f64 x x) (.f64 y y))))
(if (<=.f64 (.f64 y y) 7023934238210983/195109284394749514461349826862072894109287383916560696928697309976585733676235351257519131441468248197489183195087913930965498479955517831643136) (+.f64 (.f64 x x) (.f64 2 x)) (if (<=.f64 (.f64 y y) 760000000000000027923441438910795382521856) (.f64 y y) (if (<=.f64 (.f64 y y) 180000000000000003835769827383381439044678320128) (.f64 x x) (.f64 y y))))
(if (<=.f64 (.f64 y y) 6633715669421483/195109284394749514461349826862072894109287383916560696928697309976585733676235351257519131441468248197489183195087913930965498479955517831643136) (.f64 (+.f64 2 x) x) (if (<=.f64 (.f64 y y) 760000000000000027923441438910795382521856) (.f64 y y) (if (<=.f64 (.f64 y y) 180000000000000003835769827383381439044678320128) (.f64 x x) (*.f64 y y))))
(if (<=.f64 (.f64 y y) 8584808513368979/390218568789499028922699653724145788218574767833121393857394619953171467352470702515038262882936496394978366390175827861930996959911035663286272) (.f64 2 x) (if (<=.f64 (.f64 y y) 760000000000000027923441438910795382521856) (.f64 y y) (if (<=.f64 (.f64 y y) 180000000000000003835769827383381439044678320128) (.f64 x x) (*.f64 y y))))
(if (<=.f64 x -4842270319348757/2305843009213693952) (.f64 x x) (if (<=.f64 x 2) (.f64 2 x) (*.f64 x x)))
(*.f64 2 x)

Outputs
(+.f64 (+.f64 (.f64 x 2) (.f64 x x)) (*.f64 y y))
(+.f64 (.f64 y y) (+.f64 (.f64 x x) (*.f64 x 2)))
(+.f64 (.f64 x (+.f64 2 x)) (.f64 y y))
(+.f64 (.f64 y y) (.f64 x (+.f64 x 2)))
(if (<=.f64 x -7800000000) (+.f64 (.f64 x x) (.f64 y y)) (if (<=.f64 x 2) (+.f64 (+.f64 x x) (.f64 y y)) (+.f64 (.f64 x x) (*.f64 y y))))
(if (<=.f64 x -7800000000) (+.f64 (.f64 x x) (.f64 y y)) (if (<=.f64 x 2) (+.f64 (.f64 y y) (+.f64 x x)) (+.f64 (.f64 x x) (*.f64 y y))))
(if (<=.f64 y -2486616182048933/248661618204893321077691124073410420050228075398673858720231988446579748506266687766528) (+.f64 (.f64 x x) (.f64 y y)) (if (<=.f64 y 5339967589802275/266998379490113760299377713271194014325338065294581596243380200977777465722580068752870260867072) (+.f64 (.f64 x x) (.f64 2 x)) (+.f64 (.f64 x x) (.f64 y y))))
(if (<=.f64 y -2486616182048933/248661618204893321077691124073410420050228075398673858720231988446579748506266687766528) (+.f64 (.f64 x x) (.f64 y y)) (if (<=.f64 y 5339967589802275/266998379490113760299377713271194014325338065294581596243380200977777465722580068752870260867072) (+.f64 (.f64 x x) (.f64 x 2)) (+.f64 (.f64 x x) (.f64 y y))))
(if (<=.f64 (.f64 y y) 7023934238210983/195109284394749514461349826862072894109287383916560696928697309976585733676235351257519131441468248197489183195087913930965498479955517831643136) (+.f64 (.f64 x x) (.f64 2 x)) (if (<=.f64 (.f64 y y) 760000000000000027923441438910795382521856) (.f64 y y) (if (<=.f64 (.f64 y y) 180000000000000003835769827383381439044678320128) (.f64 x x) (.f64 y y))))
(if (<=.f64 (.f64 y y) 7023934238210983/195109284394749514461349826862072894109287383916560696928697309976585733676235351257519131441468248197489183195087913930965498479955517831643136) (+.f64 (.f64 x x) (.f64 x 2)) (if (<=.f64 (.f64 y y) 760000000000000027923441438910795382521856) (.f64 y y) (if (<=.f64 (.f64 y y) 180000000000000003835769827383381439044678320128) (.f64 x x) (.f64 y y))))
(if (<=.f64 (.f64 y y) 6633715669421483/195109284394749514461349826862072894109287383916560696928697309976585733676235351257519131441468248197489183195087913930965498479955517831643136) (.f64 (+.f64 2 x) x) (if (<=.f64 (.f64 y y) 760000000000000027923441438910795382521856) (.f64 y y) (if (<=.f64 (.f64 y y) 180000000000000003835769827383381439044678320128) (.f64 x x) (*.f64 y y))))
(if (<=.f64 (.f64 y y) 6633715669421483/195109284394749514461349826862072894109287383916560696928697309976585733676235351257519131441468248197489183195087913930965498479955517831643136) (.f64 x (+.f64 x 2)) (if (<=.f64 (.f64 y y) 760000000000000027923441438910795382521856) (.f64 y y) (if (<=.f64 (.f64 y y) 180000000000000003835769827383381439044678320128) (.f64 x x) (*.f64 y y))))
(if (<=.f64 (.f64 y y) 8584808513368979/390218568789499028922699653724145788218574767833121393857394619953171467352470702515038262882936496394978366390175827861930996959911035663286272) (.f64 2 x) (if (<=.f64 (.f64 y y) 760000000000000027923441438910795382521856) (.f64 y y) (if (<=.f64 (.f64 y y) 180000000000000003835769827383381439044678320128) (.f64 x x) (*.f64 y y))))
(if (<=.f64 (.f64 y y) 8584808513368979/390218568789499028922699653724145788218574767833121393857394619953171467352470702515038262882936496394978366390175827861930996959911035663286272) (.f64 x 2) (if (<=.f64 (.f64 y y) 760000000000000027923441438910795382521856) (.f64 y y) (if (<=.f64 (.f64 y y) 180000000000000003835769827383381439044678320128) (.f64 x x) (*.f64 y y))))
(if (<=.f64 x -4842270319348757/2305843009213693952) (.f64 x x) (if (<=.f64 x 2) (.f64 2 x) (*.f64 x x)))
(if (<=.f64 x -4842270319348757/2305843009213693952) (.f64 x x) (if (<=.f64 x 2) (.f64 x 2) (*.f64 x x)))
(*.f64 2 x)
(*.f64 x 2)

Compiler

Compiled 212 to 104 computations (50.9% saved)

soundness0.0ms (0%)

end66.0ms (2.2%)

Compiler: Compiled 196 to 75 computations (61.7% saved)

Details

analyze81.0ms (2.7%)

sample1.0s (34.8%)

preprocess15.0ms (0.5%)

simplify7.0ms (0.2%)

eval1.0ms (0%)

prune2.0ms (0.1%)

localize11.0ms (0.4%)

series4.0ms (0.1%)

rewrite57.0ms (1.9%)

simplify68.0ms (2.3%)

localize13.0ms (0.4%)

series3.0ms (0.1%)

rewrite65.0ms (2.2%)

simplify91.0ms (3.1%)

localize8.0ms (0.3%)

series2.0ms (0.1%)

rewrite40.0ms (1.4%)

simplify38.0ms (1.3%)

eval181.0ms (6%)

prune77.0ms (2.6%)

localize5.0ms (0.2%)

localize5.0ms (0.2%)

localize3.0ms (0.1%)

localize5.0ms (0.2%)

series2.0ms (0.1%)

rewrite37.0ms (1.3%)

simplify42.0ms (1.4%)

localize6.0ms (0.2%)

series3.0ms (0.1%)

rewrite43.0ms (1.4%)

simplify43.0ms (1.4%)

eval19.0ms (0.7%)

prune12.0ms (0.4%)

localize3.0ms (0.1%)

localize7.0ms (0.2%)

series1.0ms (0%)

rewrite42.0ms (1.4%)

simplify42.0ms (1.4%)

localize7.0ms (0.2%)

series2.0ms (0.1%)

rewrite42.0ms (1.4%)

simplify51.0ms (1.7%)

eval43.0ms (1.4%)

prune19.0ms (0.6%)

regimes65.0ms (2.2%)

regimes16.0ms (0.5%)

regimes80.0ms (2.7%)

bsearch58.0ms (1.9%)

regimes51.0ms (1.7%)

bsearch29.0ms (1%)

regimes58.0ms (2%)

bsearch36.0ms (1.2%)

regimes44.0ms (1.5%)

bsearch36.0ms (1.2%)

regimes47.0ms (1.6%)

bsearch34.0ms (1.1%)

regimes19.0ms (0.6%)

bsearch32.0ms (1.1%)

simplify32.0ms (1.1%)

soundness0.0ms (0%)

end66.0ms (2.2%)

Profiling