Details

analyze125.0ms (5.5%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
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)

sample939.0ms (41.3%)

Results

929.0ms	8256×	body	256	valid
0.0ms	1×	body	256	infinite

Bogosity

preprocess18.0ms (0.8%)

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
▶	6.6b	(/.f64 (/.f64 (+.f64 x y) x) (*.f64 y 2))
▶	15.1b	(/.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
✓	14.5b	(/.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	@	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	x	@	-inf	(/.f64 (+.f64 x y) (.f64 (.f64 x 2) y))
1.0ms	y	@	inf	(/.f64 (+.f64 x y) (.f64 (.f64 x 2) y))

rewrite51.0ms (2.3%)

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))))))

simplify55.0ms (2.4%)

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)))

localize9.0ms (0.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 x y) x)
✓	6.2b	(/.f64 (/.f64 (+.f64 x y) x) (*.f64 y 2))

Compiler

Compiled 25 to 10 computations (60% saved)

series3.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

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

rewrite54.0ms (2.4%)

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))))))

simplify59.0ms (2.6%)

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))

eval48.0ms (2.1%)

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

prune33.0ms (1.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	218	5	223
Fresh	0	0	0
Picked	0	1	1
Done	1	0	1
Total	219	6	225

Error

Counts

225 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	6.6b	(/.f64 (/.f64 (+.f64 x y) x) (*.f64 y 2))
▶	32.6b	(/.f64 1/2 y)
▶	30.1b	(/.f64 1/2 x)
▶	0.0b	(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
▶	20.3b	(*.f64 (pow.f64 (+.f64 y y) -1/2) (/.f64 (/.f64 (+.f64 x y) x) (sqrt.f64 (+.f64 y y))))
▶	6.7b	(*.f64 (/.f64 (+.f64 x y) x) (/.f64 1/2 y))

Compiler

Compiled 107 to 71 computations (33.6% 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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/.f64 (+.f64 x (*.f64 (*.f64 y 2) 1/2)) (*.f64 (*.f64 y 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -1/2 x (*.f64 (neg.f64 y) 1/2)) (*.f64 (neg.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 1/2 (*.f64 x 2) y) (*.f64 y (*.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x 2 (*.f64 (*.f64 y 2) 1)) (*.f64 (*.f64 y 2) (*.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -1/2 (*.f64 x 2) (*.f64 (neg.f64 y) 1)) (*.f64 (neg.f64 y) (*.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 1/2 (neg.f64 x) (*.f64 y -1/2)) (*.f64 y (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -1 x (*.f64 (*.f64 y 2) -1/2)) (*.f64 (*.f64 y 2) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -1/2 (neg.f64 x) (*.f64 (neg.f64 y) -1/2)) (*.f64 (neg.f64 y) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 y (*.f64 (*.f64 x 2) 1/2)) (*.f64 (*.f64 x 2) 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 #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 1/2 y (*.f64 1/2 x)) y) x)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 y x) (fma.f64 1/2 y (*.f64 1/2 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((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)))) (#(struct:change #<rule egg-rr> (2) ((x 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)))) (#(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))))))

simplify64.0ms (2.8%)

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))

localize4.0ms (0.2%)

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

localize3.0ms (0.1%)

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

localize8.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(/.f64 (+.f64 x y) x)
✓	6.3b	(*.f64 (/.f64 (+.f64 x y) x) (/.f64 1/2 y))

Compiler

Compiled 25 to 10 computations (60% saved)

series2.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite50.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

496×	`log-prod_binary64`
482×	`prod-diff_binary64`
363×	`pow-prod-down_binary64`
257×	`pow2_binary64`
209×	`log-div_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	189	13
2	2860	13

Stop Event

1×	node limit

Counts

1 → 64

Calls

Call 1

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

Outputs

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

simplify54.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

1001×	`log-div_binary64`
548×	`associate-/r*_binary64`
395×	`associate-/l/_binary64`
299×	`distribute-rgt-in_binary64`
291×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	165	1066
1	442	1045
2	1623	1045
3	7762	1045

Stop Event

1×	node limit

Counts

88 → 72

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

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

localize17.0ms (0.8%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(/.f64 (+.f64 x y) x)
✓	3.0b	(*.f64 (pow.f64 (+.f64 y y) -1/2) (/.f64 (/.f64 (+.f64 x y) x) (sqrt.f64 (+.f64 y y))))
✓	3.5b	(/.f64 (/.f64 (+.f64 x y) x) (sqrt.f64 (+.f64 y y)))

Compiler

Compiled 51 to 13 computations (74.5% saved)

series11.0ms (0.5%)

Counts

2 → 36

Calls

12 calls:

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

rewrite82.0ms (3.6%)

Algorithm

1×	batch-egg-rewrite

Rules

717×	`prod-diff_binary64`
500×	`log-prod_binary64`
250×	`fma-def_binary64`
193×	`log-div_binary64`
175×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	30
1	258	26
2	4141	26

Stop Event

1×	node limit

Counts

2 → 109

Calls

Call 1

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

Outputs

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

simplify29.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

42×	`*-commutative_binary64`
29×	`associate-*l/_binary64`
25×	`associate-*r/_binary64`
17×	`associate-/r/_binary64`
16×	`associate-/r*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	215	1976
1	636	1976

Stop Event

1×

unsound

Counts

145 → 118

Calls

Call 1

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

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

eval170.0ms (7.5%)

Compiler: Compiled 6580 to 3522 computations (46.5% saved)

prune87.0ms (3.8%)

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	415	0	415
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	415	6	421

Error

Counts

421 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	6.6b	(/.f64 (/.f64 (+.f64 x y) x) (*.f64 y 2))
✓	32.6b	(/.f64 1/2 y)
✓	30.1b	(/.f64 1/2 x)
✓	0.0b	(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
✓	20.3b	(*.f64 (pow.f64 (+.f64 y y) -1/2) (/.f64 (/.f64 (+.f64 x y) x) (sqrt.f64 (+.f64 y y))))
✓	6.7b	(*.f64 (/.f64 (+.f64 x y) x) (/.f64 1/2 y))

Compiler

Compiled 59 to 39 computations (33.9% saved)

regimes16.0ms (0.7%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

3 calls:

5.0ms	(/.f64 (+.f64 x y) (.f64 (.f64 x 2) y))
5.0ms	y
5.0ms	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 75 to 40 computations (46.7% saved)

regimes36.0ms (1.6%)

Accuracy

Total -53.2b remaining (-614.4%)

Threshold costs -53.2b (-614.4%)

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:

24.0ms	y
11.0ms	x

Results

Error	Segments	Branch
8.7b	4	`x`
10.7b	2	`y`

Compiler

Compiled 14 to 10 computations (28.6% saved)

bsearch37.0ms (1.6%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
8.0ms	-4.702342459205364e-100	-2.742541798588381e-100
14.0ms	-1.320846426250586e-77	-5.6409349099524094e-86
14.0ms	-1.231452444898063e-27	-2.1036024064356985e-30

Results

32.0ms

336×

body

256

valid

Compiler

Compiled 268 to 221 computations (17.5% saved)

simplify4.0ms (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 -7992587079153375/2854495385411919762116571938898990272765493248) (/.f64 1/2 y) (if (<=.f64 x -4912770182618093/4271974071841820164790043412339104229205409044713305539894083215644439451561281100045924173873152) (/.f64 1/2 x) (if (<=.f64 x -4531230712585365/9850501549098619803069760025035903451269934817616361666987073351061430442874302652853566563721228910201656997576704) (/.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 -7992587079153375/2854495385411919762116571938898990272765493248) (/.f64 1/2 y) (if (<=.f64 x -4912770182618093/4271974071841820164790043412339104229205409044713305539894083215644439451561281100045924173873152) (/.f64 1/2 x) (if (<=.f64 x -4531230712585365/9850501549098619803069760025035903451269934817616361666987073351061430442874302652853566563721228910201656997576704) (/.f64 1/2 y) (/.f64 1/2 x))))

(/.f64 1/2 x)

Compiler

Compiled 40 to 30 computations (25% saved)

soundness89.0ms (3.9%)

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)

end28.0ms (1.3%)

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

Details

analyze125.0ms (5.5%)

sample939.0ms (41.3%)

preprocess18.0ms (0.8%)

simplify7.0ms (0.3%)

eval1.0ms (0%)

prune1.0ms (0.1%)

localize11.0ms (0.5%)

series5.0ms (0.2%)

rewrite51.0ms (2.3%)

simplify55.0ms (2.4%)

localize9.0ms (0.4%)

series3.0ms (0.2%)

rewrite54.0ms (2.4%)

simplify59.0ms (2.6%)

eval48.0ms (2.1%)

prune33.0ms (1.4%)

localize8.0ms (0.3%)

series2.0ms (0.1%)

rewrite51.0ms (2.3%)

simplify64.0ms (2.8%)

localize4.0ms (0.2%)

localize3.0ms (0.1%)

localize8.0ms (0.3%)

series2.0ms (0.1%)

rewrite50.0ms (2.2%)

simplify54.0ms (2.4%)

localize17.0ms (0.8%)

series11.0ms (0.5%)

rewrite82.0ms (3.6%)

simplify29.0ms (1.3%)

eval170.0ms (7.5%)

prune87.0ms (3.8%)

regimes16.0ms (0.7%)

regimes36.0ms (1.6%)

bsearch37.0ms (1.6%)

simplify4.0ms (0.2%)

soundness89.0ms (3.9%)

end28.0ms (1.3%)

Profiling