Details

analyze78.0ms (2.5%)

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)

sample927.0ms (29.9%)

Results

886.0ms	8256×	body	256	valid
25.0ms	230×	body	256	infinite

Bogosity

preprocess14.0ms (0.4%)

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)

simplify8.0ms (0.3%)

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)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

4 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 11 to 7 computations (36.4% saved)

localize9.0ms (0.3%)

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))

rewrite66.0ms (2.1%)

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> 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Outputs

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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)))))))

simplify80.0ms (2.6%)

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))
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(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))

eval57.0ms (1.8%)

Compiler: Compiled 2898 to 1619 computations (44.1% saved)

prune48.0ms (1.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	175	5	180
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	175	6	181

Error

Counts

181 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	0b	(fma.f64 y y (*.f64 x (+.f64 x 2)))
✓	0.0b	(+.f64 (.f64 x (+.f64 2 x)) (.f64 y y))
▶	22.1b	(+.f64 (.f64 x x) (.f64 y y))
▶	15.5b	(+.f64 (.f64 2 x) (.f64 y y))
▶	25.0b	(*.f64 (+.f64 2 x) x)
▶	37.0b	(*.f64 y y)

Compiler

Compiled 91 to 57 computations (37.4% saved)

localize11.0ms (0.4%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 21 to 12 computations (42.9% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite37.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

593×	`pow1_binary64`
557×	`add-log-exp_binary64`
556×	`log1p-expm1-u_binary64`
556×	`expm1-log1p-u_binary64`
548×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	114	7
2	1488	7

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

Inputs
(*.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 (.f64 (.f64 x x) 1) (.f64 (.f64 x 2) 1))))) (#(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 (.f64 x x) 3) (pow.f64 (.f64 x 2) 3)) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (-.f64 (.f64 (.f64 x 2) (.f64 x 2)) (.f64 (.f64 x x) (.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x 2) (.f64 x 2))) (-.f64 (.f64 x x) (.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 8 (pow.f64 x 3)) x) (fma.f64 x x (-.f64 4 (.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (fma.f64 x x -4) x) (+.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (+.f64 8 (pow.f64 x 3))) (fma.f64 x x (-.f64 4 (.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (fma.f64 x x -4)) (+.f64 x -2))))) (#(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 (sqrt.f64 (.f64 x (+.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))))))

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

simplify37.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

460×	`associate-*l/_binary64`
366×	`associate-*r/_binary64`
348×	`times-frac_binary64`
263×	`fma-def_binary64`
246×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	70	290
1	209	273
2	794	267
3	3626	267

Stop Event

1×	node limit

Counts

33 → 33

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 x 2))
(+.f64 (.f64 x 2) (.f64 x x))
(+.f64 (.f64 (.f64 x x) 1) (.f64 (.f64 x 2) 1))
(-.f64 (+.f64 1 (*.f64 x (+.f64 x 2))) 1)
(/.f64 (+.f64 (pow.f64 (.f64 x x) 3) (pow.f64 (.f64 x 2) 3)) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (-.f64 (.f64 (.f64 x 2) (.f64 x 2)) (.f64 (.f64 x x) (*.f64 x 2)))))
(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x 2) (.f64 x 2))) (-.f64 (.f64 x x) (.f64 x 2)))
(/.f64 (.f64 (+.f64 8 (pow.f64 x 3)) x) (fma.f64 x x (-.f64 4 (.f64 x 2))))
(/.f64 (*.f64 (fma.f64 x x -4) x) (+.f64 x -2))
(/.f64 (.f64 x (+.f64 8 (pow.f64 x 3))) (fma.f64 x x (-.f64 4 (.f64 x 2))))
(/.f64 (*.f64 x (fma.f64 x x -4)) (+.f64 x -2))
(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 (sqrt.f64 (*.f64 x (+.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))

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 x 2))
(*.f64 x (+.f64 2 x))
(+.f64 (.f64 x 2) (.f64 x x))
(*.f64 x (+.f64 2 x))
(+.f64 (.f64 (.f64 x x) 1) (.f64 (.f64 x 2) 1))
(*.f64 x (+.f64 2 x))
(-.f64 (+.f64 1 (*.f64 x (+.f64 x 2))) 1)
(*.f64 x (+.f64 2 x))
(/.f64 (+.f64 (pow.f64 (.f64 x x) 3) (pow.f64 (.f64 x 2) 3)) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (-.f64 (.f64 (.f64 x 2) (.f64 x 2)) (.f64 (.f64 x x) (*.f64 x 2)))))
(/.f64 (+.f64 (pow.f64 (.f64 x x) 3) (.f64 (pow.f64 x 3) 8)) (+.f64 (.f64 x (pow.f64 x 3)) (-.f64 (.f64 (.f64 x x) 4) (.f64 (pow.f64 x 3) 2))))
(/.f64 (fma.f64 (pow.f64 x 3) 8 (pow.f64 x 6)) (fma.f64 (.f64 2 x) (.f64 x (-.f64 2 x)) (pow.f64 x 4)))
(/.f64 (fma.f64 8 (pow.f64 x 3) (pow.f64 x 6)) (.f64 (.f64 x x) (fma.f64 x x (fma.f64 x -2 4))))
(/.f64 (fma.f64 8 (pow.f64 x 3) (pow.f64 x 6)) (fma.f64 (*.f64 x x) (fma.f64 x -2 4) (pow.f64 x 4)))
(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x 2) (.f64 x 2))) (-.f64 (.f64 x x) (.f64 x 2)))
(*.f64 x (+.f64 2 x))
(/.f64 (.f64 (+.f64 8 (pow.f64 x 3)) x) (fma.f64 x x (-.f64 4 (.f64 x 2))))
(/.f64 x (/.f64 (fma.f64 x x (-.f64 4 (*.f64 2 x))) (+.f64 8 (pow.f64 x 3))))
(/.f64 (fma.f64 x 8 (pow.f64 x 4)) (fma.f64 x x (+.f64 4 (*.f64 x -2))))
(/.f64 (fma.f64 x 8 (pow.f64 x 4)) (fma.f64 x x (fma.f64 x -2 4)))
(/.f64 (*.f64 (fma.f64 x x -4) x) (+.f64 x -2))
(*.f64 x (+.f64 2 x))
(/.f64 (.f64 x (+.f64 8 (pow.f64 x 3))) (fma.f64 x x (-.f64 4 (.f64 x 2))))
(/.f64 x (/.f64 (fma.f64 x x (-.f64 4 (*.f64 2 x))) (+.f64 8 (pow.f64 x 3))))
(/.f64 (fma.f64 x 8 (pow.f64 x 4)) (fma.f64 x x (+.f64 4 (*.f64 x -2))))
(/.f64 (fma.f64 x 8 (pow.f64 x 4)) (fma.f64 x x (fma.f64 x -2 4)))
(/.f64 (*.f64 x (fma.f64 x x -4)) (+.f64 x -2))
(*.f64 x (+.f64 2 x))
(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 (sqrt.f64 (*.f64 x (+.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))

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)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	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)

rewrite39.0ms (1.2%)

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))))))))

simplify38.0ms (1.2%)

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 2 x) (.f64 y y))

Compiler

Compiled 18 to 9 computations (50% saved)

series2.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite42.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

747×	`pow1_binary64`
696×	`add-log-exp_binary64`
695×	`log1p-expm1-u_binary64`
695×	`expm1-log1p-u_binary64`
680×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	150	8
2	1954	8

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

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

Outputs

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

simplify44.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

803×	`fma-neg_binary64`
459×	`div-sub_binary64`
440×	`associate-l_binary64`
398×	`log-prod_binary64`
380×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	91	623
1	229	593
2	746	583
3	4537	583

Stop Event

1×	node limit

Counts

59 → 44

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

localize6.0ms (0.2%)

Compiler: Compiled 17 to 5 computations (70.6% saved)

eval27.0ms (0.9%)

Compiler: Compiled 1340 to 821 computations (38.7% saved)

prune19.0ms (0.6%)

Pruning

9 alts after pruning (3 fresh and 6 done)

	Pruned	Kept	Total
New	102	3	105
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	102	9	111

Error

Counts

111 → 9

Alt Table

Click to see full alt table

Status	Error	Program
✓	0b	(fma.f64 y y (*.f64 x (+.f64 x 2)))
✓	0.0b	(+.f64 (.f64 x (+.f64 2 x)) (.f64 y y))
✓	22.1b	(+.f64 (.f64 x x) (.f64 y y))
▶	25.0b	(+.f64 (.f64 x x) (.f64 2 x))
✓	15.5b	(+.f64 (.f64 2 x) (.f64 y y))
✓	25.0b	(*.f64 (+.f64 2 x) x)
✓	37.0b	(*.f64 y y)
▶	46.8b	(*.f64 x x)
▶	40.2b	(*.f64 2 x)

Compiler

Compiled 70 to 45 computations (35.7% saved)

localize3.0ms (0.1%)

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

localize2.0ms (0.1%)

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

rewrite40.0ms (1.3%)

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))))))

simplify40.0ms (1.3%)

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))

eval14.0ms (0.4%)

Compiler: Compiled 692 to 444 computations (35.8% saved)

prune10.0ms (0.3%)

Pruning

9 alts after pruning (0 fresh and 9 done)

	Pruned	Kept	Total
New	56	0	56
Fresh	0	0	0
Picked	0	1	1
Done	0	8	8
Total	56	9	65

Error

Counts

65 → 9

Alt Table

Click to see full alt table

Status	Error	Program
✓	0b	(fma.f64 y y (*.f64 x (+.f64 x 2)))
✓	0.0b	(+.f64 (.f64 x (+.f64 2 x)) (.f64 y y))
✓	22.1b	(+.f64 (.f64 x x) (.f64 y y))
✓	25.0b	(+.f64 (.f64 x x) (.f64 2 x))
✓	15.5b	(+.f64 (.f64 2 x) (.f64 y y))
✓	25.0b	(*.f64 (+.f64 2 x) x)
✓	37.0b	(*.f64 y y)
✓	46.8b	(*.f64 x x)
✓	40.2b	(*.f64 2 x)

Compiler

Compiled 70 to 45 computations (35.7% saved)

regimes39.0ms (1.3%)

Counts

10 → 1

Calls

Call 1

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

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

Calls

7 calls:

6.0ms	(+.f64 (+.f64 (.f64 x 2) (.f64 x x)) (*.f64 y y))
6.0ms	(+.f64 (.f64 x 2) (.f64 x x))
6.0ms	(+.f64 (.f64 x 2) (.f64 x x))
6.0ms	x
5.0ms	y

Results

Error	Segments	Branch
0b	1	`x`
0b	1	`y`
0b	1	`(+.f64 (+.f64 (.f64 x 2) (.f64 x x)) (*.f64 y y))`
0b	1	`(+.f64 (.f64 x 2) (.f64 x x))`
0b	1	`(+.f64 (.f64 x 2) (.f64 x x))`
0b	1	`(*.f64 y y)`
0b	1	`(*.f64 y y)`

Compiler

Compiled 112 to 58 computations (48.2% saved)

regimes36.0ms (1.1%)

Counts

9 → 1

Calls

Call 1

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

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

Calls

6 calls:

6.0ms	(+.f64 (.f64 x 2) (.f64 x x))
6.0ms	y
6.0ms	(+.f64 (+.f64 (.f64 x 2) (.f64 x x)) (*.f64 y y))
6.0ms	(+.f64 (.f64 x 2) (.f64 x x))
5.0ms	x

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 (.f64 x 2) (.f64 x x))`
0.0b	1	`(*.f64 y y)`

Compiler

Compiled 99 to 51 computations (48.5% saved)

regimes165.0ms (5.3%)

Counts

7 → 3

Calls

Call 1

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

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

Calls

3 calls:

142.0ms	x
14.0ms	y
7.0ms	(*.f64 y y)

Results

Error	Segments	Branch
0.9b	3	`x`
3.5b	3	`y`
3.5b	2	`(*.f64 y y)`

Compiler

Compiled 48 to 23 computations (52.1% saved)

bsearch123.0ms (4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
107.0ms	0.0007239096159390105	0.08881603707856525
16.0ms	-230833861.2107078	-0.0008839258546512142

Results

25.0ms

272×

body

256

valid

Compiler

Compiled 358 to 233 computations (34.9% saved)

regimes154.0ms (5%)

Counts

6 → 3

Calls

Call 1

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

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

Calls

3 calls:

133.0ms	x
13.0ms	y
6.0ms	(*.f64 y y)

Results

Error	Segments	Branch
2.4b	3	`x`
7.0b	3	`y`
7.3b	2	`(*.f64 y y)`

Compiler

Compiled 41 to 22 computations (46.3% saved)

bsearch244.0ms (7.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
14.0ms	0.1344543120521383	113.23906275268287
230.0ms	-230833861.2107078	-0.0008839258546512142

Results

27.0ms

288×

body

256

valid

Compiler

Compiled 362 to 256 computations (29.3% saved)

regimes35.0ms (1.1%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

3 calls:

16.0ms	x
12.0ms	y
6.0ms	(*.f64 y y)

Results

Error	Segments	Branch
2.4b	3	`x`
7.0b	3	`y`
7.3b	2	`(*.f64 y y)`

Compiler

Compiled 34 to 19 computations (44.1% saved)

bsearch32.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
14.0ms	0.1344543120521383	113.23906275268287
18.0ms	-230833861.2107078	-0.0008839258546512142

Results

28.0ms

288×

body

256

valid

Compiler

Compiled 342 to 246 computations (28.1% saved)

regimes71.0ms (2.3%)

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

Calls

3 calls:

44.0ms	x
14.0ms	y
11.0ms	(*.f64 y y)

Results

Error	Segments	Branch
11.9b	13	`x`
8.8b	3	`y`
7.4b	4	`(*.f64 y y)`

Compiler

Compiled 27 to 16 computations (40.7% saved)

bsearch42.0ms (1.4%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
15.0ms	1.3245395341842656e-69	2.0811777087674013e-60
16.0ms	6.771776364327566e-105	6.40190097773755e-100
11.0ms	2.3312149570665996e-123	5.946159530198465e-123

Results

35.0ms

368×

body

256

valid

Compiler

Compiled 294 to 219 computations (25.5% saved)

regimes70.0ms (2.2%)

Counts

3 → 14

Calls

Call 1

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

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

Calls

3 calls:

43.0ms	x
16.0ms	y
10.0ms	(*.f64 y y)

Results

Error	Segments	Branch
12.4b	14	`x`
17.2b	4	`y`
16.7b	4	`(*.f64 y y)`

Compiler

Compiled 22 to 13 computations (40.9% saved)

bsearch191.0ms (6.2%)

Algorithm

13×	binary-search

Steps

Time	Left	Right
39.0ms	0.1344543120521383	113.23906275268287
15.0ms	6.019015603611826e-14	2.8167724311927773e-11
14.0ms	1.8838909445488021e-94	3.942114098144892e-88
16.0ms	5.418255280552455e-142	4.145082238181299e-133
15.0ms	2.112874943129926e-158	9.317204636825722e-152
15.0ms	5.606043357622347e-207	1.6624940729907543e-198
8.0ms	1.6043193233849812e-212	3.6207072986561764e-212
13.0ms	8.796147834489381e-241	2.6775751685996953e-239
5.0ms	6.674054660626849e-260	8.777854738156577e-260
7.0ms	-2.394974362870273e-178	-1.4133286179357803e-178
14.0ms	-3.1032513384891706e-167	-1.6272468088352617e-170
16.0ms	-8.72516205356881e-108	-1.2381531486025817e-113
13.0ms	-1.395467663616599e-11	-5.267282727957923e-14

Results

174.0ms

1536×

body

256

valid

Compiler

Compiled 1170 to 868 computations (25.8% saved)

regimes19.0ms (0.6%)

Accuracy

Total -35.7b remaining (-138.6%)

Threshold costs -35.7b (-138.6%)

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	x
8.0ms	y

Results

Error	Segments	Branch
25.7b	3	`x`
34.6b	3	`y`

Compiler

Compiled 14 to 9 computations (35.7% saved)

bsearch27.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
13.0ms	0.1344543120521383	113.23906275268287
14.0ms	-1.395467663616599e-11	-5.267282727957923e-14

Results

24.0ms

256×

body

256

valid

Compiler

Compiled 210 to 156 computations (25.7% saved)

simplify11.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

5×	`+-commutative_binary64`
3×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	87	352
1	95	352

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(fma.f64 y y (*.f64 x (+.f64 x 2)))
(+.f64 (.f64 x (+.f64 2 x)) (.f64 y y))
(if (<=.f64 x -2) (+.f64 (.f64 x x) (.f64 y y)) (if (<=.f64 x 3098476543630901/36028797018963968) (+.f64 (.f64 2 x) (.f64 y y)) (+.f64 (.f64 x x) (.f64 y y))))
(if (<=.f64 x -4150517416584649/4611686018427387904) (+.f64 (.f64 x x) (.f64 2 x)) (if (<=.f64 x 8782019273372467/2251799813685248) (+.f64 (.f64 2 x) (.f64 y y)) (*.f64 (+.f64 2 x) x)))
(if (<=.f64 x -490) (.f64 (+.f64 2 x) x) (if (<=.f64 x 607985949695017/4503599627370496) (+.f64 (.f64 2 x) (.f64 y y)) (.f64 (+.f64 2 x) x)))
(if (<=.f64 (.f64 y y) 8782537673408677/1488565707357402911845015158554633286356257506687627387456491927921949262056238946972039271861787782268441644249633132407878864135402815488) (.f64 (+.f64 2 x) x) (if (<=.f64 (.f64 y y) 8069530869021589/20173827172553973356686868531273530268200826506478308693989526222973809547006571833044104322501076808092993531037089792) (.f64 y y) (if (<=.f64 (.f64 y y) 834740539628243/7588550360256754183279148073529370729071901715047420004889892225542594864082845696) (.f64 (+.f64 2 x) x) (*.f64 y y))))
(if (<=.f64 x -2135446567767281/154742504910672534362390528) (.f64 x x) (if (<=.f64 x -7276904104443057/338460656020607282663380637712778772392143197677711984273740183180495765112991409062496875745134225841966700556811959451779072) (.f64 2 x) (if (<=.f64 x -4011154121752225/33992831540273094316133645219357992149093959534530043084764424844825827831094543535306400144974674282808917087119776064982181077609773263322209278641061590524405201333465166018030600192) (.f64 y y) (if (<=.f64 x -1003736935876883/4562440617622195218641171605700291324893228507248559930579192517899275167208677386505912811317371399778642309573594407310688704721375437998252661319722214188251994674360264950082874192246603776) (.f64 2 x) (if (<=.f64 x 5539569662801113/69244620785013915169893880288577664649638356718206520148356066053544201755915040781030818563707002931730762300556198370198467059319135998738502644985094416224536059445117594392163977484884566481701992255745056886508490364387532700233026358315193005046436800875428314917896192) (.f64 y y) (if (<=.f64 x 4879885938723055/938439603600587528746394711938657107663969949193687942084737423845328945327403963493426274822541422606069252398088182827397836333287780407720182613329988145004965865323862822167078543736143176539997470989737828269291292380585577139908076735904949708259328) (.f64 2 x) (if (<=.f64 x 6443556535427747/189516368689051383685178160212707831452256593886315504289435063235601922935348741007187305765215634515440396813614632959737741704603859178643101474004050432031793820315045154486116367874950982034333862206264217376817974469459968) (.f64 y y) (if (<=.f64 x 8189640480253831/706003489677054374237277210551156965837838477962894381170850482715673457590299624976468480248807499242724466374570999144530824216469597736906638272121736526607699022870679030143158018123175881930939339869708632591433728) (.f64 2 x) (if (<=.f64 x 2318722513810355/30916300184138066757562815127455898754391418637651479989257882011612153138316483396289550132655380623699708928252017417418920629288343901245943269387736645989575846518587392) (.f64 y y) (if (<=.f64 x 4290498537581631/13407807929942597099574024998205846127479365820592393377723561443721764030073546976801874298166903427690031858186486050853753882811946569946433649006084096) (.f64 2 x) (if (<=.f64 x 352281387416075/587135645693458306972370149197334256843920637227079967676822742883052256278652110865924749596192175757983744) (.f64 y y) (if (<=.f64 x 5818318184641287/1237940039285380274899124224) (.f64 2 x) (if (<=.f64 x 106) (.f64 y y) (.f64 x x))))))))))))))
(if (<=.f64 x -2135446567767281/154742504910672534362390528) (.f64 x x) (if (<=.f64 x 2) (.f64 2 x) (*.f64 x x)))
(*.f64 2 x)

Outputs
(fma.f64 y y (*.f64 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 -2) (+.f64 (.f64 x x) (.f64 y y)) (if (<=.f64 x 3098476543630901/36028797018963968) (+.f64 (.f64 2 x) (.f64 y y)) (+.f64 (.f64 x x) (.f64 y y))))
(if (<=.f64 x -2) (+.f64 (.f64 y y) (.f64 x x)) (if (<=.f64 x 3098476543630901/36028797018963968) (+.f64 (.f64 y y) (.f64 x 2)) (+.f64 (.f64 y y) (.f64 x x))))
(if (<=.f64 x -4150517416584649/4611686018427387904) (+.f64 (.f64 x x) (.f64 2 x)) (if (<=.f64 x 8782019273372467/2251799813685248) (+.f64 (.f64 2 x) (.f64 y y)) (*.f64 (+.f64 2 x) x)))
(if (<=.f64 x -4150517416584649/4611686018427387904) (+.f64 (.f64 x x) (.f64 x 2)) (if (<=.f64 x 8782019273372467/2251799813685248) (+.f64 (.f64 y y) (.f64 x 2)) (*.f64 x (+.f64 x 2))))
(if (<=.f64 x -490) (.f64 (+.f64 2 x) x) (if (<=.f64 x 607985949695017/4503599627370496) (+.f64 (.f64 2 x) (.f64 y y)) (.f64 (+.f64 2 x) x)))
(if (<=.f64 x -490) (.f64 x (+.f64 x 2)) (if (<=.f64 x 607985949695017/4503599627370496) (+.f64 (.f64 y y) (.f64 x 2)) (.f64 x (+.f64 x 2))))
(if (<=.f64 (.f64 y y) 8782537673408677/1488565707357402911845015158554633286356257506687627387456491927921949262056238946972039271861787782268441644249633132407878864135402815488) (.f64 (+.f64 2 x) x) (if (<=.f64 (.f64 y y) 8069530869021589/20173827172553973356686868531273530268200826506478308693989526222973809547006571833044104322501076808092993531037089792) (.f64 y y) (if (<=.f64 (.f64 y y) 834740539628243/7588550360256754183279148073529370729071901715047420004889892225542594864082845696) (.f64 (+.f64 2 x) x) (*.f64 y y))))
(if (<=.f64 (.f64 y y) 8782537673408677/1488565707357402911845015158554633286356257506687627387456491927921949262056238946972039271861787782268441644249633132407878864135402815488) (.f64 x (+.f64 x 2)) (if (<=.f64 (.f64 y y) 8069530869021589/20173827172553973356686868531273530268200826506478308693989526222973809547006571833044104322501076808092993531037089792) (.f64 y y) (if (<=.f64 (.f64 y y) 834740539628243/7588550360256754183279148073529370729071901715047420004889892225542594864082845696) (.f64 x (+.f64 x 2)) (*.f64 y y))))
(if (<=.f64 x -2135446567767281/154742504910672534362390528) (.f64 x x) (if (<=.f64 x -7276904104443057/338460656020607282663380637712778772392143197677711984273740183180495765112991409062496875745134225841966700556811959451779072) (.f64 2 x) (if (<=.f64 x -4011154121752225/33992831540273094316133645219357992149093959534530043084764424844825827831094543535306400144974674282808917087119776064982181077609773263322209278641061590524405201333465166018030600192) (.f64 y y) (if (<=.f64 x -1003736935876883/4562440617622195218641171605700291324893228507248559930579192517899275167208677386505912811317371399778642309573594407310688704721375437998252661319722214188251994674360264950082874192246603776) (.f64 2 x) (if (<=.f64 x 5539569662801113/69244620785013915169893880288577664649638356718206520148356066053544201755915040781030818563707002931730762300556198370198467059319135998738502644985094416224536059445117594392163977484884566481701992255745056886508490364387532700233026358315193005046436800875428314917896192) (.f64 y y) (if (<=.f64 x 4879885938723055/938439603600587528746394711938657107663969949193687942084737423845328945327403963493426274822541422606069252398088182827397836333287780407720182613329988145004965865323862822167078543736143176539997470989737828269291292380585577139908076735904949708259328) (.f64 2 x) (if (<=.f64 x 6443556535427747/189516368689051383685178160212707831452256593886315504289435063235601922935348741007187305765215634515440396813614632959737741704603859178643101474004050432031793820315045154486116367874950982034333862206264217376817974469459968) (.f64 y y) (if (<=.f64 x 8189640480253831/706003489677054374237277210551156965837838477962894381170850482715673457590299624976468480248807499242724466374570999144530824216469597736906638272121736526607699022870679030143158018123175881930939339869708632591433728) (.f64 2 x) (if (<=.f64 x 2318722513810355/30916300184138066757562815127455898754391418637651479989257882011612153138316483396289550132655380623699708928252017417418920629288343901245943269387736645989575846518587392) (.f64 y y) (if (<=.f64 x 4290498537581631/13407807929942597099574024998205846127479365820592393377723561443721764030073546976801874298166903427690031858186486050853753882811946569946433649006084096) (.f64 2 x) (if (<=.f64 x 352281387416075/587135645693458306972370149197334256843920637227079967676822742883052256278652110865924749596192175757983744) (.f64 y y) (if (<=.f64 x 5818318184641287/1237940039285380274899124224) (.f64 2 x) (if (<=.f64 x 106) (.f64 y y) (.f64 x x))))))))))))))
(if (<=.f64 x -2135446567767281/154742504910672534362390528) (.f64 x x) (if (<=.f64 x -7276904104443057/338460656020607282663380637712778772392143197677711984273740183180495765112991409062496875745134225841966700556811959451779072) (.f64 x 2) (if (<=.f64 x -4011154121752225/33992831540273094316133645219357992149093959534530043084764424844825827831094543535306400144974674282808917087119776064982181077609773263322209278641061590524405201333465166018030600192) (.f64 y y) (if (<=.f64 x -1003736935876883/4562440617622195218641171605700291324893228507248559930579192517899275167208677386505912811317371399778642309573594407310688704721375437998252661319722214188251994674360264950082874192246603776) (.f64 x 2) (if (<=.f64 x 5539569662801113/69244620785013915169893880288577664649638356718206520148356066053544201755915040781030818563707002931730762300556198370198467059319135998738502644985094416224536059445117594392163977484884566481701992255745056886508490364387532700233026358315193005046436800875428314917896192) (.f64 y y) (if (<=.f64 x 4879885938723055/938439603600587528746394711938657107663969949193687942084737423845328945327403963493426274822541422606069252398088182827397836333287780407720182613329988145004965865323862822167078543736143176539997470989737828269291292380585577139908076735904949708259328) (.f64 x 2) (if (<=.f64 x 6443556535427747/189516368689051383685178160212707831452256593886315504289435063235601922935348741007187305765215634515440396813614632959737741704603859178643101474004050432031793820315045154486116367874950982034333862206264217376817974469459968) (.f64 y y) (if (<=.f64 x 8189640480253831/706003489677054374237277210551156965837838477962894381170850482715673457590299624976468480248807499242724466374570999144530824216469597736906638272121736526607699022870679030143158018123175881930939339869708632591433728) (.f64 x 2) (if (<=.f64 x 2318722513810355/30916300184138066757562815127455898754391418637651479989257882011612153138316483396289550132655380623699708928252017417418920629288343901245943269387736645989575846518587392) (.f64 y y) (if (<=.f64 x 4290498537581631/13407807929942597099574024998205846127479365820592393377723561443721764030073546976801874298166903427690031858186486050853753882811946569946433649006084096) (.f64 x 2) (if (<=.f64 x 352281387416075/587135645693458306972370149197334256843920637227079967676822742883052256278652110865924749596192175757983744) (.f64 y y) (if (<=.f64 x 5818318184641287/1237940039285380274899124224) (.f64 x 2) (if (<=.f64 x 106) (.f64 y y) (.f64 x x))))))))))))))
(if (<=.f64 x -2135446567767281/154742504910672534362390528) (.f64 x x) (if (<=.f64 x 2) (.f64 2 x) (*.f64 x x)))
(if (<=.f64 x -2135446567767281/154742504910672534362390528) (.f64 x x) (if (<=.f64 x 2) (.f64 x 2) (*.f64 x x)))
(*.f64 2 x)
(*.f64 x 2)

Compiler

Compiled 264 to 152 computations (42.4% saved)

soundness7.0ms (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

Compiler

Compiled 24 to 15 computations (37.5% saved)

end111.0ms (3.6%)

Compiler: Compiled 248 to 128 computations (48.4% saved)

Details

analyze78.0ms (2.5%)

sample927.0ms (29.9%)

preprocess14.0ms (0.4%)

simplify8.0ms (0.3%)

eval1.0ms (0%)

prune1.0ms (0%)

localize9.0ms (0.3%)

series4.0ms (0.1%)

rewrite66.0ms (2.1%)

simplify80.0ms (2.6%)

eval57.0ms (1.8%)

prune48.0ms (1.6%)

localize11.0ms (0.4%)

series1.0ms (0%)

rewrite37.0ms (1.2%)

simplify37.0ms (1.2%)

localize3.0ms (0.1%)

localize5.0ms (0.2%)

series1.0ms (0%)

rewrite39.0ms (1.2%)

simplify38.0ms (1.2%)

localize6.0ms (0.2%)

series2.0ms (0.1%)

rewrite42.0ms (1.3%)

simplify44.0ms (1.4%)

localize6.0ms (0.2%)

eval27.0ms (0.9%)

prune19.0ms (0.6%)

localize3.0ms (0.1%)

localize2.0ms (0.1%)

localize7.0ms (0.2%)

series1.0ms (0%)

rewrite40.0ms (1.3%)

simplify40.0ms (1.3%)

eval14.0ms (0.4%)

prune10.0ms (0.3%)

regimes39.0ms (1.3%)

regimes36.0ms (1.1%)

regimes165.0ms (5.3%)

bsearch123.0ms (4%)

regimes154.0ms (5%)

bsearch244.0ms (7.9%)

regimes35.0ms (1.1%)

bsearch32.0ms (1%)

regimes71.0ms (2.3%)

bsearch42.0ms (1.4%)

regimes70.0ms (2.2%)

bsearch191.0ms (6.2%)

regimes19.0ms (0.6%)

bsearch27.0ms (0.9%)

simplify11.0ms (0.4%)

soundness7.0ms (0.2%)

end111.0ms (3.6%)

Profiling