Details

analyze294.0ms (13.1%)

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
0%	0%	99.9%	0.1%	0%	0%	0%	5
0%	0%	99.9%	0.1%	0%	0%	0%	6
25%	25%	74.9%	0.1%	0%	0%	0%	7
31.3%	31.2%	68.7%	0.1%	0%	0%	0%	8
56.3%	56.2%	43.7%	0.1%	0%	0%	0%	9
60.9%	60.9%	39%	0.1%	0%	0%	0%	10
76.6%	76.5%	23.4%	0.1%	0%	0%	0%	11
79.3%	79.2%	20.7%	0.1%	0%	0%	0%	12

Compiler

Compiled 12 to 8 computations (33.3% saved)

sample1.0s (46.7%)

Results

1.0s	8256×	body	256	valid
0.0ms	1×	body	256	infinite

Bogosity

preprocess16.0ms (0.7%)

Algorithm

2×	egg-herbie

Rules

12×	`associate-/r*_binary64`
5×	`*-commutative_binary64`
4×	`associate-l_binary64`
4×	`associate-/l/_binary64`
2×	`associate-r_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	26
1	24	26
2	39	26
3	49	26
4	49	26
0	2	2
1	2	2

Stop Event

1×	unsound
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1
0

Call 2

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

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

Symmetry

(sort x y)

Compiler

Compiled 13 to 9 computations (30.8% saved)

simplify7.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

13×	`associate-/r*_binary64`
5×	`*-commutative_binary64`
4×	`associate-/l/_binary64`
3×	`associate-r_binary64`
3×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	15	13
2	29	13
3	43	13
4	45	13

Stop Event

1×

saturated

Counts

1 → 3

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 29 to 15 computations (48.3% saved)

prune1.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.1b

Counts

4 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	7.4b	(/.f64 (/.f64 (+.f64 x y) x) (*.f64 y 2))
▶	17.7b	(/.f64 (+.f64 x y) (.f64 (.f64 x 2) y))

Compiler

Compiled 22 to 14 computations (36.4% saved)

localize11.0ms (0.5%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	16.9b	(/.f64 (+.f64 x y) (.f64 (.f64 x 2) y))

Compiler

Compiled 25 to 13 computations (48% saved)

series5.0ms (0.2%)

Counts

1 → 24

Calls

6 calls:

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

rewrite49.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

517×	`log-prod_binary64`
482×	`prod-diff_binary64`
321×	`pow-prod-down_binary64`
243×	`pow2_binary64`
180×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	180	13
2	2668	13

Stop Event

1×	node limit

Counts

1 → 54

Calls

Call 1

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

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

Outputs

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

simplify122.0ms (5.4%)

Algorithm

1×	egg-herbie

Rules

966×	`log-div_binary64`
579×	`associate-/l*_binary64`
430×	`associate-/r*_binary64`
312×	`distribute-rgt-in_binary64`
306×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	153	1098
1	394	1054
2	1468	1052
3	7060	1052

Stop Event

1×	node limit

Counts

78 → 84

Calls

Call 1

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

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

localize8.0ms (0.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 x y) x)
✓	6.9b	(/.f64 (/.f64 (+.f64 x y) x) (*.f64 y 2))

Compiler

Compiled 25 to 10 computations (60% saved)

series4.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

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

rewrite57.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

544×	`log-prod_binary64`
500×	`prod-diff_binary64`
348×	`pow-prod-down_binary64`
257×	`pow2_binary64`
199×	`log-div_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	20
1	186	20
2	2938	20

Stop Event

1×	node limit

Counts

2 → 95

Calls

Call 1

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

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

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

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

simplify92.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

893×	`fma-def_binary64`
598×	`associate-/r*_binary64`
380×	`unswap-sqr_binary64`
274×	`associate-/r/_binary64`
222×	`log-prod_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	240	1769
1	599	1702
2	2469	1702

Stop Event

1×	node limit

Counts

143 → 139

Calls

Call 1

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

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

eval53.0ms (2.3%)

Compiler: Compiled 3432 to 1380 computations (59.8% saved)

prune33.0ms (1.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	220	3	223
Fresh	0	0	0
Picked	0	1	1
Done	1	0	1
Total	221	4	225

Error

Counts

225 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	7.4b	(/.f64 (/.f64 (+.f64 x y) x) (*.f64 y 2))
▶	33.7b	(/.f64 1/2 y)
▶	30.0b	(/.f64 1/2 x)
▶	0.0b	(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))

Compiler

Compiled 30 to 22 computations (26.7% saved)

localize8.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 18 to 12 computations (33.3% saved)

series2.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	y	@	0	(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
0.0ms	x	@	0	(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
0.0ms	y	@	inf	(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
0.0ms	y	@	-inf	(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
0.0ms	x	@	inf	(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))

rewrite51.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

903×	`prod-diff_binary64`
555×	`unpow-prod-down_binary64`
401×	`log-prod_binary64`
290×	`fma-def_binary64`
230×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	167	10
2	2527	10

Stop Event

1×	node limit

Counts

1 → 89

Calls

Call 1

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

Outputs

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

simplify92.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

561×	`times-frac_binary64`
403×	`fma-neg_binary64`
277×	`log-prod_binary64`
249×	`unswap-sqr_binary64`
224×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	245	1745
1	636	1635
2	1871	1622
3	6487	1606

Stop Event

1×	node limit

Counts

113 → 119

Calls

Call 1

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

Outputs
(/.f64 1/2 y)
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(/.f64 1/2 x)
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(/.f64 1/2 x)
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(/.f64 1/2 x)
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(/.f64 1/2 y)
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(/.f64 1/2 y)
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)))) 1)
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(-.f64 (/.f64 (/.f64 1/4 (.f64 y y)) (-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (/.f64 (/.f64 1/4 (.f64 x x)) (-.f64 (/.f64 1/2 y) (/.f64 1/2 x))))
(/.f64 (-.f64 (/.f64 1/4 (.f64 y y)) (/.f64 1/4 (.f64 x x))) (-.f64 (/.f64 1/2 y) (/.f64 1/2 x)))
(/.f64 (+.f64 (/.f64 1/4 (.f64 y y)) (/.f64 -1/4 (.f64 x x))) (-.f64 (/.f64 1/2 y) (/.f64 1/2 x)))
(/.f64 (+.f64 (/.f64 1/4 (.f64 y y)) (/.f64 -1/4 (.f64 x x))) (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))
(*.f64 1/2 (+.f64 (/.f64 1 y) (/.f64 1 x)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(*.f64 1/2 (+.f64 (/.f64 1 x) (/.f64 1 y)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(*.f64 1/2 (pow.f64 (+.f64 (/.f64 1 y) (/.f64 1 x)) 1))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(*.f64 1/2 (pow.f64 (+.f64 (/.f64 1 x) (/.f64 1 y)) 1))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(*.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)) 1)
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(*.f64 1 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(*.f64 (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x))) 2))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x))) 2) (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x))))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(*.f64 (sqrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (sqrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x))))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(.f64 (fma.f64 1/2 y (.f64 1/2 x)) (/.f64 1 (*.f64 y x)))
(/.f64 (.f64 1/2 (+.f64 y x)) (.f64 y x))
(.f64 (/.f64 1/2 (.f64 y x)) (+.f64 y x))
(.f64 (fma.f64 1/2 y (.f64 1/2 x)) (pow.f64 (/.f64 1 (*.f64 y x)) 1))
(.f64 (fma.f64 1/2 y (.f64 1/2 x)) (/.f64 1 (*.f64 y x)))
(/.f64 (.f64 1/2 (+.f64 y x)) (.f64 y x))
(.f64 (/.f64 1/2 (.f64 y x)) (+.f64 y x))
(.f64 (+.f64 (pow.f64 (/.f64 1/2 y) 3) (/.f64 1/8 (pow.f64 x 3))) (/.f64 1 (fma.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) (/.f64 1/2 y)) (/.f64 1/4 (.f64 y y)))))
(.f64 (+.f64 (/.f64 1/8 (pow.f64 y 3)) (/.f64 1/8 (pow.f64 x 3))) (/.f64 1 (fma.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) (/.f64 1/2 y)) (/.f64 1/4 (.f64 y y)))))
(/.f64 (+.f64 (pow.f64 (/.f64 1/2 y) 3) (/.f64 1/8 (pow.f64 x 3))) (fma.f64 (/.f64 1/2 x) (+.f64 (/.f64 1/2 x) (/.f64 -1/2 y)) (/.f64 1/4 (*.f64 y y))))
(/.f64 (+.f64 (/.f64 1/8 (pow.f64 y 3)) (/.f64 1/8 (pow.f64 x 3))) (fma.f64 1/2 (/.f64 (+.f64 (/.f64 1/2 x) (/.f64 -1/2 y)) x) (/.f64 1/4 (*.f64 y y))))
(.f64 (+.f64 (pow.f64 (/.f64 1/2 y) 3) (/.f64 1/8 (pow.f64 x 3))) (pow.f64 (/.f64 1 (fma.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) (/.f64 1/2 y)) (/.f64 1/4 (.f64 y y)))) 1))
(.f64 (+.f64 (/.f64 1/8 (pow.f64 y 3)) (/.f64 1/8 (pow.f64 x 3))) (/.f64 1 (fma.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) (/.f64 1/2 y)) (/.f64 1/4 (.f64 y y)))))
(/.f64 (+.f64 (pow.f64 (/.f64 1/2 y) 3) (/.f64 1/8 (pow.f64 x 3))) (fma.f64 (/.f64 1/2 x) (+.f64 (/.f64 1/2 x) (/.f64 -1/2 y)) (/.f64 1/4 (*.f64 y y))))
(/.f64 (+.f64 (/.f64 1/8 (pow.f64 y 3)) (/.f64 1/8 (pow.f64 x 3))) (fma.f64 1/2 (/.f64 (+.f64 (/.f64 1/2 x) (/.f64 -1/2 y)) x) (/.f64 1/4 (*.f64 y y))))
(.f64 (-.f64 (/.f64 1/4 (.f64 y y)) (/.f64 1/4 (*.f64 x x))) (/.f64 1 (-.f64 (/.f64 1/2 y) (/.f64 1/2 x))))
(/.f64 (-.f64 (/.f64 1/4 (.f64 y y)) (/.f64 1/4 (.f64 x x))) (-.f64 (/.f64 1/2 y) (/.f64 1/2 x)))
(/.f64 (+.f64 (/.f64 1/4 (.f64 y y)) (/.f64 -1/4 (.f64 x x))) (-.f64 (/.f64 1/2 y) (/.f64 1/2 x)))
(/.f64 (+.f64 (/.f64 1/4 (.f64 y y)) (/.f64 -1/4 (.f64 x x))) (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))
(.f64 (-.f64 (/.f64 1/4 (.f64 y y)) (/.f64 1/4 (*.f64 x x))) (pow.f64 (/.f64 1 (-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) 1))
(/.f64 (-.f64 (/.f64 1/4 (.f64 y y)) (/.f64 1/4 (.f64 x x))) (-.f64 (/.f64 1/2 y) (/.f64 1/2 x)))
(/.f64 (+.f64 (/.f64 1/4 (.f64 y y)) (/.f64 -1/4 (.f64 x x))) (-.f64 (/.f64 1/2 y) (/.f64 1/2 x)))
(/.f64 (+.f64 (/.f64 1/4 (.f64 y y)) (/.f64 -1/4 (.f64 x x))) (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))
(*.f64 (pow.f64 1 1/3) (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)) 3)) 1/3))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(.f64 (pow.f64 (.f64 (pow.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)) 2) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x))) 2)) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x))) 2) (pow.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)) 2))) (cbrt.f64 (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)))))
(.f64 (cbrt.f64 (.f64 (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x))) 7))) (cbrt.f64 (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x))) 8)) (cbrt.f64 (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)))))
(.f64 (pow.f64 (.f64 (pow.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)) 2) (sqrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)))) 1/3) (cbrt.f64 (sqrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)))))
(.f64 (cbrt.f64 (.f64 (sqrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (pow.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)) 2))) (cbrt.f64 (sqrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)))))
(*.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x))) 5)) (cbrt.f64 (sqrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)) 5/2)) (cbrt.f64 (sqrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)))) 2) 3) (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x))))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)))) 3))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(/.f64 1 (/.f64 (.f64 y x) (fma.f64 1/2 y (.f64 1/2 x))))
(.f64 (fma.f64 1/2 y (.f64 1/2 x)) (/.f64 1 (*.f64 y x)))
(/.f64 (.f64 1/2 (+.f64 y x)) (.f64 y x))
(.f64 (/.f64 1/2 (.f64 y x)) (+.f64 y x))
(/.f64 1 (/.f64 (fma.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) (/.f64 1/2 y)) (/.f64 1/4 (*.f64 y y))) (+.f64 (pow.f64 (/.f64 1/2 y) 3) (/.f64 1/8 (pow.f64 x 3)))))
(.f64 (+.f64 (/.f64 1/8 (pow.f64 y 3)) (/.f64 1/8 (pow.f64 x 3))) (/.f64 1 (fma.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) (/.f64 1/2 y)) (/.f64 1/4 (.f64 y y)))))
(/.f64 (+.f64 (pow.f64 (/.f64 1/2 y) 3) (/.f64 1/8 (pow.f64 x 3))) (fma.f64 (/.f64 1/2 x) (+.f64 (/.f64 1/2 x) (/.f64 -1/2 y)) (/.f64 1/4 (*.f64 y y))))
(/.f64 (+.f64 (/.f64 1/8 (pow.f64 y 3)) (/.f64 1/8 (pow.f64 x 3))) (fma.f64 1/2 (/.f64 (+.f64 (/.f64 1/2 x) (/.f64 -1/2 y)) x) (/.f64 1/4 (*.f64 y y))))
(/.f64 1 (/.f64 (-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) (-.f64 (/.f64 1/4 (.f64 y y)) (/.f64 1/4 (.f64 x x)))))
(/.f64 (-.f64 (/.f64 1/4 (.f64 y y)) (/.f64 1/4 (.f64 x x))) (-.f64 (/.f64 1/2 y) (/.f64 1/2 x)))
(/.f64 (+.f64 (/.f64 1/4 (.f64 y y)) (/.f64 -1/4 (.f64 x x))) (-.f64 (/.f64 1/2 y) (/.f64 1/2 x)))
(/.f64 (+.f64 (/.f64 1/4 (.f64 y y)) (/.f64 -1/4 (.f64 x x))) (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))
(/.f64 (fma.f64 1/2 y (.f64 1/2 x)) (.f64 y x))
(.f64 (fma.f64 1/2 y (.f64 1/2 x)) (/.f64 1 (*.f64 y x)))
(/.f64 (.f64 1/2 (+.f64 y x)) (.f64 y x))
(.f64 (/.f64 1/2 (.f64 y x)) (+.f64 y x))
(/.f64 (+.f64 (pow.f64 (/.f64 1/2 y) 3) (/.f64 1/8 (pow.f64 x 3))) (fma.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) (/.f64 1/2 y)) (/.f64 1/4 (*.f64 y y))))
(.f64 (+.f64 (/.f64 1/8 (pow.f64 y 3)) (/.f64 1/8 (pow.f64 x 3))) (/.f64 1 (fma.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) (/.f64 1/2 y)) (/.f64 1/4 (.f64 y y)))))
(/.f64 (+.f64 (pow.f64 (/.f64 1/2 y) 3) (/.f64 1/8 (pow.f64 x 3))) (fma.f64 (/.f64 1/2 x) (+.f64 (/.f64 1/2 x) (/.f64 -1/2 y)) (/.f64 1/4 (*.f64 y y))))
(/.f64 (+.f64 (/.f64 1/8 (pow.f64 y 3)) (/.f64 1/8 (pow.f64 x 3))) (fma.f64 1/2 (/.f64 (+.f64 (/.f64 1/2 x) (/.f64 -1/2 y)) x) (/.f64 1/4 (*.f64 y y))))
(/.f64 (+.f64 (pow.f64 (/.f64 1/2 y) 3) (/.f64 1/8 (pow.f64 x 3))) (+.f64 (/.f64 1/4 (.f64 x x)) (-.f64 (/.f64 1/4 (.f64 y y)) (/.f64 1/4 (*.f64 y x)))))
(/.f64 (+.f64 (/.f64 1/8 (pow.f64 y 3)) (/.f64 1/8 (pow.f64 x 3))) (+.f64 (/.f64 1/4 (.f64 x x)) (-.f64 (/.f64 1/4 (.f64 y y)) (/.f64 1/4 (*.f64 y x)))))
(/.f64 (+.f64 (pow.f64 (/.f64 1/2 y) 3) (/.f64 1/8 (pow.f64 x 3))) (+.f64 (+.f64 (/.f64 1/4 (.f64 y y)) (/.f64 1/4 (.f64 x x))) (/.f64 -1/4 (*.f64 y x))))
(/.f64 (+.f64 (/.f64 1/8 (pow.f64 y 3)) (/.f64 1/8 (pow.f64 x 3))) (+.f64 (/.f64 1/4 (.f64 y y)) (-.f64 (/.f64 1/4 (.f64 x x)) (/.f64 1/4 (*.f64 y x)))))
(/.f64 (+.f64 (/.f64 1/8 (pow.f64 y 3)) (/.f64 1/8 (pow.f64 x 3))) (+.f64 (/.f64 1/4 (.f64 y y)) (+.f64 (/.f64 1/4 (.f64 x x)) (/.f64 -1/4 (*.f64 y x)))))
(/.f64 (-.f64 (/.f64 1/4 (.f64 y y)) (/.f64 1/4 (.f64 x x))) (-.f64 (/.f64 1/2 y) (/.f64 1/2 x)))
(/.f64 (+.f64 (/.f64 1/4 (.f64 y y)) (/.f64 -1/4 (.f64 x x))) (-.f64 (/.f64 1/2 y) (/.f64 1/2 x)))
(/.f64 (+.f64 (/.f64 1/4 (.f64 y y)) (/.f64 -1/4 (.f64 x x))) (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))
(/.f64 (neg.f64 (fma.f64 1/2 y (.f64 1/2 x))) (neg.f64 (.f64 y x)))
(.f64 (fma.f64 1/2 y (.f64 1/2 x)) (/.f64 1 (*.f64 y x)))
(/.f64 (.f64 1/2 (+.f64 y x)) (.f64 y x))
(.f64 (/.f64 1/2 (.f64 y x)) (+.f64 y x))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 1/2 y) 3) (/.f64 1/8 (pow.f64 x 3)))) (neg.f64 (fma.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) (/.f64 1/2 y)) (/.f64 1/4 (*.f64 y y)))))
(.f64 (+.f64 (/.f64 1/8 (pow.f64 y 3)) (/.f64 1/8 (pow.f64 x 3))) (/.f64 1 (fma.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) (/.f64 1/2 y)) (/.f64 1/4 (.f64 y y)))))
(/.f64 (+.f64 (pow.f64 (/.f64 1/2 y) 3) (/.f64 1/8 (pow.f64 x 3))) (fma.f64 (/.f64 1/2 x) (+.f64 (/.f64 1/2 x) (/.f64 -1/2 y)) (/.f64 1/4 (*.f64 y y))))
(/.f64 (+.f64 (/.f64 1/8 (pow.f64 y 3)) (/.f64 1/8 (pow.f64 x 3))) (fma.f64 1/2 (/.f64 (+.f64 (/.f64 1/2 x) (/.f64 -1/2 y)) x) (/.f64 1/4 (*.f64 y y))))
(/.f64 (neg.f64 (-.f64 (/.f64 1/4 (.f64 y y)) (/.f64 1/4 (.f64 x x)))) (neg.f64 (-.f64 (/.f64 1/2 y) (/.f64 1/2 x))))
(/.f64 (-.f64 (/.f64 1/4 (.f64 y y)) (/.f64 1/4 (.f64 x x))) (-.f64 (/.f64 1/2 y) (/.f64 1/2 x)))
(/.f64 (+.f64 (/.f64 1/4 (.f64 y y)) (/.f64 -1/4 (.f64 x x))) (-.f64 (/.f64 1/2 y) (/.f64 1/2 x)))
(/.f64 (+.f64 (/.f64 1/4 (.f64 y y)) (/.f64 -1/4 (.f64 x x))) (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))
(/.f64 (+.f64 x (.f64 (.f64 y 2) 1/2)) (.f64 (.f64 y 2) x))
(/.f64 (+.f64 x (.f64 y 1)) (.f64 y (*.f64 x 2)))
(/.f64 (+.f64 y x) (.f64 y (.f64 x 2)))
(/.f64 (/.f64 (+.f64 y x) 2) (*.f64 y x))
(/.f64 (fma.f64 -1/2 x (.f64 (neg.f64 y) 1/2)) (.f64 (neg.f64 y) x))
(.f64 (fma.f64 1/2 y (.f64 1/2 x)) (/.f64 1 (*.f64 y x)))
(/.f64 (.f64 1/2 (+.f64 y x)) (.f64 y x))
(.f64 (/.f64 1/2 (.f64 y x)) (+.f64 y x))
(/.f64 (fma.f64 1/2 (.f64 x 2) y) (.f64 y (*.f64 x 2)))
(/.f64 (+.f64 x (.f64 y 1)) (.f64 y (*.f64 x 2)))
(/.f64 (+.f64 y x) (.f64 y (.f64 x 2)))
(/.f64 (/.f64 (+.f64 y x) 2) (*.f64 y x))
(/.f64 (fma.f64 x 2 (.f64 (.f64 y 2) 1)) (.f64 (.f64 y 2) (*.f64 x 2)))
(/.f64 (fma.f64 x 2 (.f64 y 2)) (.f64 (.f64 y 2) (.f64 x 2)))
(/.f64 (.f64 2 (+.f64 y x)) (.f64 x (*.f64 4 y)))
(.f64 1 (/.f64 (/.f64 (+.f64 y x) 2) (.f64 y x)))
(/.f64 (fma.f64 -1/2 (.f64 x 2) (.f64 (neg.f64 y) 1)) (.f64 (neg.f64 y) (.f64 x 2)))
(/.f64 (+.f64 (.f64 x -1) (neg.f64 y)) (.f64 (*.f64 y 2) (neg.f64 x)))
(/.f64 (-.f64 (neg.f64 y) x) (.f64 y (.f64 -2 x)))
(/.f64 (-.f64 (neg.f64 y) x) (.f64 y (.f64 x -2)))
(/.f64 (fma.f64 1/2 (neg.f64 x) (.f64 y -1/2)) (.f64 y (neg.f64 x)))
(.f64 (fma.f64 1/2 y (.f64 1/2 x)) (/.f64 1 (*.f64 y x)))
(/.f64 (.f64 1/2 (+.f64 y x)) (.f64 y x))
(.f64 (/.f64 1/2 (.f64 y x)) (+.f64 y x))
(/.f64 (fma.f64 -1 x (.f64 (.f64 y 2) -1/2)) (.f64 (.f64 y 2) (neg.f64 x)))
(/.f64 (+.f64 (.f64 x -1) (neg.f64 y)) (.f64 (*.f64 y 2) (neg.f64 x)))
(/.f64 (-.f64 (neg.f64 y) x) (.f64 y (.f64 -2 x)))
(/.f64 (-.f64 (neg.f64 y) x) (.f64 y (.f64 x -2)))
(/.f64 (fma.f64 -1/2 (neg.f64 x) (.f64 (neg.f64 y) -1/2)) (.f64 (neg.f64 y) (neg.f64 x)))
(.f64 (fma.f64 1/2 y (.f64 1/2 x)) (/.f64 1 (*.f64 y x)))
(/.f64 (.f64 1/2 (+.f64 y x)) (.f64 y x))
(.f64 (/.f64 1/2 (.f64 y x)) (+.f64 y x))
(/.f64 (+.f64 y (.f64 (.f64 x 2) 1/2)) (.f64 (.f64 x 2) y))
(/.f64 (+.f64 x (.f64 y 1)) (.f64 y (*.f64 x 2)))
(/.f64 (+.f64 y x) (.f64 y (.f64 x 2)))
(/.f64 (/.f64 (+.f64 y x) 2) (*.f64 y x))
(/.f64 (fma.f64 -1/2 y (.f64 (neg.f64 x) 1/2)) (.f64 (neg.f64 x) y))
(.f64 (fma.f64 1/2 y (.f64 1/2 x)) (/.f64 1 (*.f64 y x)))
(/.f64 (.f64 1/2 (+.f64 y x)) (.f64 y x))
(.f64 (/.f64 1/2 (.f64 y x)) (+.f64 y x))
(/.f64 (fma.f64 1/2 (.f64 y 2) x) (.f64 x (*.f64 y 2)))
(/.f64 (+.f64 x (.f64 y 1)) (.f64 y (*.f64 x 2)))
(/.f64 (+.f64 y x) (.f64 y (.f64 x 2)))
(/.f64 (/.f64 (+.f64 y x) 2) (*.f64 y x))
(/.f64 (fma.f64 y 2 (.f64 (.f64 x 2) 1)) (.f64 (.f64 x 2) (*.f64 y 2)))
(/.f64 (fma.f64 x 2 (.f64 y 2)) (.f64 (.f64 y 2) (.f64 x 2)))
(/.f64 (.f64 2 (+.f64 y x)) (.f64 x (*.f64 4 y)))
(.f64 1 (/.f64 (/.f64 (+.f64 y x) 2) (.f64 y x)))
(/.f64 (fma.f64 -1/2 (.f64 y 2) (.f64 (neg.f64 x) 1)) (.f64 (neg.f64 x) (.f64 y 2)))
(/.f64 (+.f64 (.f64 x -1) (neg.f64 y)) (.f64 (*.f64 y 2) (neg.f64 x)))
(/.f64 (-.f64 (neg.f64 y) x) (.f64 y (.f64 -2 x)))
(/.f64 (-.f64 (neg.f64 y) x) (.f64 y (.f64 x -2)))
(/.f64 (fma.f64 1/2 (neg.f64 y) (.f64 x -1/2)) (.f64 x (neg.f64 y)))
(.f64 (fma.f64 1/2 y (.f64 1/2 x)) (/.f64 1 (*.f64 y x)))
(/.f64 (.f64 1/2 (+.f64 y x)) (.f64 y x))
(.f64 (/.f64 1/2 (.f64 y x)) (+.f64 y x))
(/.f64 (fma.f64 -1 y (.f64 (.f64 x 2) -1/2)) (.f64 (.f64 x 2) (neg.f64 y)))
(/.f64 (+.f64 (.f64 x -1) (neg.f64 y)) (.f64 (*.f64 y 2) (neg.f64 x)))
(/.f64 (-.f64 (neg.f64 y) x) (.f64 y (.f64 -2 x)))
(/.f64 (-.f64 (neg.f64 y) x) (.f64 y (.f64 x -2)))
(/.f64 (fma.f64 -1/2 (neg.f64 y) (.f64 (neg.f64 x) -1/2)) (.f64 (neg.f64 x) (neg.f64 y)))
(.f64 (fma.f64 1/2 y (.f64 1/2 x)) (/.f64 1 (*.f64 y x)))
(/.f64 (.f64 1/2 (+.f64 y x)) (.f64 y x))
(.f64 (/.f64 1/2 (.f64 y x)) (+.f64 y x))
(/.f64 (-.f64 (/.f64 1/4 (.f64 x x)) (/.f64 1/4 (.f64 y y))) (-.f64 (/.f64 1/2 x) (/.f64 1/2 y)))
(/.f64 (-.f64 (/.f64 1/4 (.f64 y y)) (/.f64 1/4 (.f64 x x))) (-.f64 (/.f64 1/2 y) (/.f64 1/2 x)))
(/.f64 (+.f64 (/.f64 1/4 (.f64 y y)) (/.f64 -1/4 (.f64 x x))) (-.f64 (/.f64 1/2 y) (/.f64 1/2 x)))
(/.f64 (+.f64 (/.f64 1/4 (.f64 y y)) (/.f64 -1/4 (.f64 x x))) (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))
(/.f64 (/.f64 (fma.f64 1/2 y (*.f64 1/2 x)) y) x)
(.f64 (fma.f64 1/2 y (.f64 1/2 x)) (/.f64 1 (*.f64 y x)))
(/.f64 (.f64 1/2 (+.f64 y x)) (.f64 y x))
(.f64 (/.f64 1/2 (.f64 y x)) (+.f64 y x))
(pow.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)) 1)
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(pow.f64 (pow.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)) 2) 1/2)
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(pow.f64 (pow.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)) 3) 1/3)
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x))) 3)
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(pow.f64 (sqrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x))) 2)
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(pow.f64 (/.f64 (.f64 y x) (fma.f64 1/2 y (.f64 1/2 x))) -1)
(.f64 (fma.f64 1/2 y (.f64 1/2 x)) (/.f64 1 (*.f64 y x)))
(/.f64 (.f64 1/2 (+.f64 y x)) (.f64 y x))
(.f64 (/.f64 1/2 (.f64 y x)) (+.f64 y x))
(pow.f64 (/.f64 (fma.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) (/.f64 1/2 y)) (/.f64 1/4 (*.f64 y y))) (+.f64 (pow.f64 (/.f64 1/2 y) 3) (/.f64 1/8 (pow.f64 x 3)))) -1)
(.f64 (+.f64 (/.f64 1/8 (pow.f64 y 3)) (/.f64 1/8 (pow.f64 x 3))) (/.f64 1 (fma.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) (/.f64 1/2 y)) (/.f64 1/4 (.f64 y y)))))
(/.f64 (+.f64 (pow.f64 (/.f64 1/2 y) 3) (/.f64 1/8 (pow.f64 x 3))) (fma.f64 (/.f64 1/2 x) (+.f64 (/.f64 1/2 x) (/.f64 -1/2 y)) (/.f64 1/4 (*.f64 y y))))
(/.f64 (+.f64 (/.f64 1/8 (pow.f64 y 3)) (/.f64 1/8 (pow.f64 x 3))) (fma.f64 1/2 (/.f64 (+.f64 (/.f64 1/2 x) (/.f64 -1/2 y)) x) (/.f64 1/4 (*.f64 y y))))
(pow.f64 (/.f64 (-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) (-.f64 (/.f64 1/4 (.f64 y y)) (/.f64 1/4 (.f64 x x)))) -1)
(/.f64 (-.f64 (/.f64 1/4 (.f64 y y)) (/.f64 1/4 (.f64 x x))) (-.f64 (/.f64 1/2 y) (/.f64 1/2 x)))
(/.f64 (+.f64 (/.f64 1/4 (.f64 y y)) (/.f64 -1/4 (.f64 x x))) (-.f64 (/.f64 1/2 y) (/.f64 1/2 x)))
(/.f64 (+.f64 (/.f64 1/4 (.f64 y y)) (/.f64 -1/4 (.f64 x x))) (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)) 2))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(log.f64 (exp.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x))))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)))))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 1/2 y))) (exp.f64 (/.f64 1/2 x))))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(log.f64 (*.f64 (exp.f64 (/.f64 1/2 y)) (+.f64 1 (expm1.f64 (/.f64 1/2 x)))))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 1/2 y))) (+.f64 1 (expm1.f64 (/.f64 1/2 x)))))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 1/2 x))) (exp.f64 (/.f64 1/2 y))))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(log.f64 (*.f64 (exp.f64 (/.f64 1/2 x)) (+.f64 1 (expm1.f64 (/.f64 1/2 y)))))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 1/2 x))) (+.f64 1 (expm1.f64 (/.f64 1/2 y)))))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)) 3))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x))))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x))))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(exp.f64 (log.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x))))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x))) 1))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(fma.f64 1/2 (/.f64 1 x) (/.f64 1/2 y))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(fma.f64 1/2 (/.f64 1 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(fma.f64 (/.f64 1/2 y) 1 (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(fma.f64 (/.f64 1/2 x) 1 (/.f64 1/2 y))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(fma.f64 1 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(fma.f64 1 (/.f64 1/2 x) (/.f64 1/2 y))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(fma.f64 (cbrt.f64 (/.f64 1/2 x)) (cbrt.f64 (/.f64 1/4 (*.f64 x x))) (/.f64 1/2 y))
(fma.f64 (cbrt.f64 (/.f64 1/4 (*.f64 x x))) (cbrt.f64 (/.f64 1/2 x)) (/.f64 1/2 y))
(fma.f64 (cbrt.f64 (/.f64 1/2 x)) (cbrt.f64 (/.f64 1/4 (*.f64 x x))) (/.f64 1/2 y))
(fma.f64 (cbrt.f64 (/.f64 1/2 y)) (pow.f64 (cbrt.f64 (/.f64 1/2 y)) 2) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 y)) 2) (cbrt.f64 (/.f64 1/2 y)) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(fma.f64 (sqrt.f64 (/.f64 1/2 x)) (sqrt.f64 (/.f64 1/2 x)) (/.f64 1/2 y))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(fma.f64 (sqrt.f64 (/.f64 1/2 y)) (sqrt.f64 (/.f64 1/2 y)) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(fma.f64 -1/2 (/.f64 1 (neg.f64 x)) (/.f64 1/2 y))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(fma.f64 -1/2 (/.f64 1 (neg.f64 y)) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(fma.f64 (/.f64 1 x) 1/2 (/.f64 1/2 y))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(fma.f64 (/.f64 1 y) 1/2 (/.f64 1/2 x))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))

localize3.0ms (0.1%)

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

localize3.0ms (0.1%)

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

eval59.0ms (2.6%)

Compiler: Compiled 1851 to 1299 computations (29.8% saved)

prune16.0ms (0.7%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	119	0	119
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	119	4	123

Error

Counts

123 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	7.4b	(/.f64 (/.f64 (+.f64 x y) x) (*.f64 y 2))
✓	33.7b	(/.f64 1/2 y)
✓	30.0b	(/.f64 1/2 x)
✓	0.0b	(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))

Compiler

Compiled 30 to 22 computations (26.7% saved)

regimes15.0ms (0.7%)

Counts

5 → 1

Calls

Call 1

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

Outputs
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))

Calls

3 calls:

6.0ms	(/.f64 (+.f64 x y) (.f64 (.f64 x 2) y))
4.0ms	y
4.0ms	x

Results

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

Compiler

Compiled 50 to 31 computations (38% saved)

regimes33.0ms (1.5%)

Accuracy

Total -53.6b remaining (-646.8%)

Threshold costs -53.6b (-646.8%)

Counts

2 → 4

Calls

Call 1

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

Outputs
(/.f64 1/2 y)
(/.f64 1/2 x)
(/.f64 1/2 y)
(/.f64 1/2 x)

Calls

2 calls:

18.0ms	y
14.0ms	x

Results

Error	Segments	Branch
8.3b	4	`x`
10.1b	6	`y`

Compiler

Compiled 14 to 10 computations (28.6% saved)

bsearch35.0ms (1.6%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
10.0ms	-2.392143833662123e-144	-5.72546504047221e-145
13.0ms	-3.2799098849737947e-32	-1.4203381747227122e-33
12.0ms	-2.1618673258927734e-7	-4.0634910136666606e-8

Results

31.0ms

304×

body

256

valid

Compiler

Compiled 244 to 201 computations (17.6% saved)

simplify5.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	48
1	18	48

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs

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

(if (<=.f64 x -3022314549036573/37778931862957161709568) (/.f64 1/2 y) (if (<=.f64 x -319703483166135/45671926166590716193865151022383844364247891968) (/.f64 1/2 x) (if (<=.f64 x -4147436154344509/1757388200993436087035366604564836663620975436836686184804982645551499054949799949343375268009332366074187855716219099657503228927927460816018951242525454630912) (/.f64 1/2 y) (/.f64 1/2 x))))

(/.f64 1/2 x)

Outputs

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

(if (<=.f64 x -3022314549036573/37778931862957161709568) (/.f64 1/2 y) (if (<=.f64 x -319703483166135/45671926166590716193865151022383844364247891968) (/.f64 1/2 x) (if (<=.f64 x -4147436154344509/1757388200993436087035366604564836663620975436836686184804982645551499054949799949343375268009332366074187855716219099657503228927927460816018951242525454630912) (/.f64 1/2 y) (/.f64 1/2 x))))

(/.f64 1/2 x)

Compiler

Compiled 40 to 30 computations (25% saved)

soundness93.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

966×	`log-div_binary64`
579×	`associate-/l*_binary64`
430×	`associate-/r*_binary64`
312×	`distribute-rgt-in_binary64`
306×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	153	1098
1	394	1054
2	1468	1052
3	7060	1052

Stop Event

1×	node limit

Compiler

Compiled 57 to 47 computations (17.5% saved)

end27.0ms (1.2%)

Remove: (sort x y)
Compiler: Compiled 54 to 40 computations (25.9% saved)

Details

analyze294.0ms (13.1%)

sample1.0s (46.7%)

preprocess16.0ms (0.7%)

simplify7.0ms (0.3%)

eval1.0ms (0%)

prune1.0ms (0.1%)

localize11.0ms (0.5%)

series5.0ms (0.2%)

rewrite49.0ms (2.2%)

simplify122.0ms (5.4%)

localize8.0ms (0.4%)

series4.0ms (0.2%)

rewrite57.0ms (2.5%)

simplify92.0ms (4.1%)

eval53.0ms (2.3%)

prune33.0ms (1.5%)

localize8.0ms (0.3%)

series2.0ms (0.1%)

rewrite51.0ms (2.3%)

simplify92.0ms (4.1%)

localize3.0ms (0.1%)

localize3.0ms (0.1%)

eval59.0ms (2.6%)

prune16.0ms (0.7%)

regimes15.0ms (0.7%)

regimes33.0ms (1.5%)

bsearch35.0ms (1.6%)

simplify5.0ms (0.2%)

soundness93.0ms (4.2%)

end27.0ms (1.2%)

Profiling