Details

analyze44.0ms (3.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	87.4%	0.1%	0%	12.5%	0%	4
7.7%	6.2%	74.9%	0.1%	0%	18.7%	0%	5
17.4%	12.5%	59.3%	0.1%	0%	28.1%	0%	6
34.9%	23.4%	43.7%	0.1%	0%	32.8%	0%	7
45.6%	28.1%	33.6%	0.1%	0%	38.2%	0%	8
60.3%	35.5%	23.4%	0.1%	0%	41%	0%	9
68.3%	38.2%	17.8%	0.1%	0%	43.9%	0%	10
77.8%	42.4%	12.1%	0.1%	0%	45.4%	0%	11
82.8%	43.9%	9.1%	0.1%	0%	46.9%	0%	12

Compiler

Compiled 7 to 5 computations (28.6% saved)

sample1.2s (81.5%)

Results

1.1s	8256×	body	256	valid
35.0ms	532×	body	256	invalid

Bogosity

preprocess8.0ms (0.6%)

Algorithm

2×	egg-herbie

Rules

2×	`swap-x-y`
2×	`rational_best_oopsla_all_46_json_45_simplify-35`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	22
1	9	22
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
(sqrt.f64 (+.f64 x y))
(sqrt.f64 (+.f64 y x))

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

Symmetry

(sort x y)

Compiler

Compiled 8 to 6 computations (25% saved)

simplify8.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

2×	`rational_best_oopsla_all_46_json_45_simplify-35`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	8	11

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

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

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

eval0.0ms (0%)

Compiler: Compiled 6 to 4 computations (33.3% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Error

0.0b

Counts

2 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 11 to 4 computations (63.6% saved)

series4.0ms (0.3%)

Counts

1 → 8

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	y	@	inf	(sqrt.f64 (+.f64 x y))
0.0ms	x	@	inf	(sqrt.f64 (+.f64 x y))
0.0ms	x	@	0	(sqrt.f64 (+.f64 x y))
0.0ms	y	@	0	(sqrt.f64 (+.f64 x y))
0.0ms	x	@	-inf	(sqrt.f64 (+.f64 x y))

rewrite52.0ms (3.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1144×	`rational_best_oopsla_all_46_json_45_simplify-37`
1084×	`rational_best_oopsla_all_46_json_45_simplify-23`
1046×	`rational_best_oopsla_all_46_json_45_simplify-13`
748×	`rational_best_oopsla_all_46_json-2`
748×	`rational_best_oopsla_all_46_json-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	38	11
2	88	11
3	283	11
4	1344	11

Stop Event

1×	node limit

Counts

1 → 60

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 x y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 x y)) (.f64 (.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y))) (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 x y)) (.f64 (.f64 (sqrt.f64 (+.f64 x y)) (/.f64 1 (sqrt.f64 (+.f64 x y)))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 x y)) (.f64 (neg.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 0 (.f64 (sqrt.f64 (+.f64 x y)) (/.f64 1 (sqrt.f64 (+.f64 x y))))) (sqrt.f64 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 0 (.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y))) (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y))))) (sqrt.f64 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (+.f64 x y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (+.f64 x y)) (.f64 (.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y))) (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (+.f64 x y)) (.f64 (.f64 (sqrt.f64 (+.f64 x y)) (/.f64 1 (sqrt.f64 (+.f64 x y)))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (+.f64 x y)) (.f64 (sqrt.f64 (+.f64 x y)) (/.f64 0 (sqrt.f64 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (+.f64 x y)) (.f64 (neg.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (sqrt.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 0 (.f64 (sqrt.f64 (+.f64 x y)) (/.f64 1 (sqrt.f64 (+.f64 x y))))) (.f64 (.f64 (sqrt.f64 (+.f64 x y)) (/.f64 1 (sqrt.f64 (+.f64 x y)))) (neg.f64 (sqrt.f64 (+.f64 x y)))))))) 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((x .f64 (.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y))) (.f64 (sqrt.f64 (+.f64 x y)) (/.f64 1 (sqrt.f64 (+.f64 x y))))) (sqrt.f64 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y))) (.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y))) (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y))))) (sqrt.f64 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (neg.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y))))) (sqrt.f64 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y))) (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y))))) (neg.f64 (sqrt.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (.f64 (sqrt.f64 (+.f64 x y)) (/.f64 1 (sqrt.f64 (+.f64 x y))))) (neg.f64 (sqrt.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 x y)) 1)))) 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Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 x y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 x y)) (*.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y))) (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 x y)) (*.f64 (*.f64 (sqrt.f64 (+.f64 x y)) (/.f64 1 (sqrt.f64 (+.f64 x y)))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 x y)) (*.f64 (neg.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (*.f64 (sqrt.f64 (+.f64 x y)) (/.f64 1 (sqrt.f64 (+.f64 x y))))) (sqrt.f64 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y))) (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y))))) (sqrt.f64 (+.f64 x y)))))) 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(neg.f64 (sqrt.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 x y)) (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 x y)) (/.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y))) (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 x y)) (/.f64 (*.f64 (sqrt.f64 (+.f64 x y)) (/.f64 1 (sqrt.f64 (+.f64 x y)))) (*.f64 (sqrt.f64 (+.f64 x y)) (/.f64 1 (sqrt.f64 (+.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (sqrt.f64 (+.f64 x y))))))))

simplify85.0ms (5.9%)

Algorithm

1×	egg-herbie

Rules

1266×	`rational_best_oopsla_all_46_json_45_simplify-49`
972×	`rational_best_oopsla_all_46_json_45_simplify-72`
742×	`rational_best_oopsla_all_46_json_45_simplify-108`
720×	`rational_best_oopsla_all_46_json_45_simplify-23`
514×	`rational_best_oopsla_all_46_json_45_simplify-89`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	161	1108
1	594	1108
2	3015	1108

Stop Event

1×	node limit

Counts

68 → 82

Calls

Call 1

Inputs
(sqrt.f64 y)
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 y)) x)) (sqrt.f64 y))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (pow.f64 x 2))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 y)) x)) (sqrt.f64 y)))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (pow.f64 x 2))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 y)) x)) (+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 5))) (pow.f64 x 3))) (sqrt.f64 y))))
(sqrt.f64 x)
(+.f64 (sqrt.f64 x) (.f64 1/2 (.f64 y (sqrt.f64 (/.f64 1 x)))))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 y 2) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (+.f64 (sqrt.f64 x) (.f64 1/2 (.f64 y (sqrt.f64 (/.f64 1 x))))))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 y 2) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (+.f64 (.f64 1/16 (.f64 (pow.f64 y 3) (sqrt.f64 (/.f64 1 (pow.f64 x 5))))) (+.f64 (sqrt.f64 x) (.f64 1/2 (.f64 y (sqrt.f64 (/.f64 1 x)))))))
(+.f64 (sqrt.f64 (+.f64 x y)) 0)
(+.f64 (sqrt.f64 (+.f64 x y)) (.f64 (.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y))) (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)))) 0))
(+.f64 (sqrt.f64 (+.f64 x y)) (.f64 (.f64 (sqrt.f64 (+.f64 x y)) (/.f64 1 (sqrt.f64 (+.f64 x y)))) 0))
(+.f64 (sqrt.f64 (+.f64 x y)) (*.f64 (neg.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)))) 0))
(+.f64 0 (sqrt.f64 (+.f64 x y)))
(+.f64 (.f64 0 (.f64 (sqrt.f64 (+.f64 x y)) (/.f64 1 (sqrt.f64 (+.f64 x y))))) (sqrt.f64 (+.f64 x y)))
(+.f64 (.f64 0 (.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y))) (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y))))) (sqrt.f64 (+.f64 x y)))
(-.f64 (sqrt.f64 (+.f64 x y)) 0)
(-.f64 (sqrt.f64 (+.f64 x y)) (.f64 (.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y))) (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)))) 0))
(-.f64 (sqrt.f64 (+.f64 x y)) (.f64 (.f64 (sqrt.f64 (+.f64 x y)) (/.f64 1 (sqrt.f64 (+.f64 x y)))) 0))
(-.f64 (sqrt.f64 (+.f64 x y)) (*.f64 (sqrt.f64 (+.f64 x y)) (/.f64 0 (sqrt.f64 (+.f64 x y)))))
(-.f64 (sqrt.f64 (+.f64 x y)) (*.f64 (neg.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)))) 0))
(-.f64 0 (neg.f64 (sqrt.f64 (+.f64 x y))))
(-.f64 (.f64 0 (.f64 (sqrt.f64 (+.f64 x y)) (/.f64 1 (sqrt.f64 (+.f64 x y))))) (.f64 (.f64 (sqrt.f64 (+.f64 x y)) (/.f64 1 (sqrt.f64 (+.f64 x y)))) (neg.f64 (sqrt.f64 (+.f64 x y)))))
(-.f64 (.f64 0 (.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y))) (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y))))) (.f64 (.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y))) (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)))) (neg.f64 (sqrt.f64 (+.f64 x y)))))
(*.f64 (sqrt.f64 (+.f64 x y)) 1)
(*.f64 (sqrt.f64 (+.f64 x y)) (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y))))
(.f64 (sqrt.f64 (+.f64 x y)) (.f64 (sqrt.f64 (+.f64 x y)) (/.f64 1 (sqrt.f64 (+.f64 x y)))))
(.f64 (sqrt.f64 (+.f64 x y)) (.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y))) (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)))))
(*.f64 (sqrt.f64 (+.f64 x y)) (/.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y))) (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)))))
(.f64 (sqrt.f64 (+.f64 x y)) (.f64 (sqrt.f64 (+.f64 x y)) (/.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y))) (sqrt.f64 (+.f64 x y)))))
(.f64 (sqrt.f64 (+.f64 x y)) (.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y))) (*.f64 (sqrt.f64 (+.f64 x y)) (/.f64 1 (sqrt.f64 (+.f64 x y))))))
(.f64 (sqrt.f64 (+.f64 x y)) (.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y))) (*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y))) (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y))))))
(.f64 (sqrt.f64 (+.f64 x y)) (.f64 (sqrt.f64 (+.f64 x y)) (/.f64 (*.f64 (sqrt.f64 (+.f64 x y)) (/.f64 1 (sqrt.f64 (+.f64 x y)))) (sqrt.f64 (+.f64 x y)))))
(.f64 (sqrt.f64 (+.f64 x y)) (.f64 (sqrt.f64 (+.f64 x y)) (/.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y))) (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)))) (sqrt.f64 (+.f64 x y)))))
(.f64 (sqrt.f64 (+.f64 x y)) (.f64 (.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y))) (.f64 (sqrt.f64 (+.f64 x y)) (/.f64 1 (sqrt.f64 (+.f64 x y))))) (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)))))
(.f64 (sqrt.f64 (+.f64 x y)) (.f64 (.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y))) (.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y))) (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y))))) (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)))))
(.f64 (sqrt.f64 (+.f64 x y)) (.f64 (*.f64 (sqrt.f64 (+.f64 x y)) (/.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y))) (sqrt.f64 (+.f64 x y)))) (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)))))
(*.f64 1 (sqrt.f64 (+.f64 x y)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y))) (sqrt.f64 (+.f64 x y)))
(.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y))) (.f64 (sqrt.f64 (+.f64 x y)) (/.f64 1 (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y))))))
(.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y))) (+.f64 0 (.f64 (sqrt.f64 (+.f64 x y)) (/.f64 1 (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)))))))
(.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y))) (.f64 (sqrt.f64 (+.f64 x y)) (/.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y))) (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)))) (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y))))))
(.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y))) (.f64 (*.f64 (sqrt.f64 (+.f64 x y)) (/.f64 1 (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y))))) (/.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y))) (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y))))))
(.f64 (.f64 (sqrt.f64 (+.f64 x y)) (/.f64 1 (sqrt.f64 (+.f64 x y)))) (sqrt.f64 (+.f64 x y)))
(.f64 (.f64 (sqrt.f64 (+.f64 x y)) (/.f64 1 (sqrt.f64 (+.f64 x y)))) (.f64 (sqrt.f64 (+.f64 x y)) (/.f64 (.f64 (sqrt.f64 (+.f64 x y)) (/.f64 1 (sqrt.f64 (+.f64 x y)))) (*.f64 (sqrt.f64 (+.f64 x y)) (/.f64 1 (sqrt.f64 (+.f64 x y)))))))
(*.f64 (neg.f64 (sqrt.f64 (+.f64 x y))) -1)
(*.f64 (neg.f64 (sqrt.f64 (+.f64 x y))) (neg.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)))))
(.f64 (neg.f64 (sqrt.f64 (+.f64 x y))) (.f64 (neg.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)))) (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)))))
(.f64 (neg.f64 (sqrt.f64 (+.f64 x y))) (.f64 -1 (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)))))
(*.f64 (neg.f64 (sqrt.f64 (+.f64 x y))) (-.f64 (/.f64 0 (sqrt.f64 (+.f64 x y))) (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)))))
(.f64 (neg.f64 (sqrt.f64 (+.f64 x y))) (-.f64 0 (.f64 (sqrt.f64 (+.f64 x y)) (/.f64 1 (sqrt.f64 (+.f64 x y))))))
(.f64 (neg.f64 (sqrt.f64 (+.f64 x y))) (-.f64 0 (.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y))) (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y))))))
(*.f64 -1 (neg.f64 (sqrt.f64 (+.f64 x y))))
(.f64 (.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y))) (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)))) (sqrt.f64 (+.f64 x y)))
(*.f64 (/.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y))) (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)))) (sqrt.f64 (+.f64 x y)))
(.f64 (.f64 (sqrt.f64 (+.f64 x y)) (/.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y))) (sqrt.f64 (+.f64 x y)))) (sqrt.f64 (+.f64 x y)))
(.f64 (.f64 (sqrt.f64 (+.f64 x y)) (/.f64 1 (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y))))) (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y))))
(*.f64 (neg.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)))) (neg.f64 (sqrt.f64 (+.f64 x y))))
(.f64 (neg.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)))) (.f64 (neg.f64 (sqrt.f64 (+.f64 x y))) (/.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y))) (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y))))))
(.f64 (.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y))) (*.f64 (sqrt.f64 (+.f64 x y)) (/.f64 1 (sqrt.f64 (+.f64 x y))))) (sqrt.f64 (+.f64 x y)))
(.f64 (.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y))) (*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y))) (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y))))) (sqrt.f64 (+.f64 x y)))
(*.f64 (neg.f64 (neg.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y))))) (sqrt.f64 (+.f64 x y)))
(.f64 (neg.f64 (.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y))) (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y))))) (neg.f64 (sqrt.f64 (+.f64 x y))))
(.f64 (neg.f64 (.f64 (sqrt.f64 (+.f64 x y)) (/.f64 1 (sqrt.f64 (+.f64 x y))))) (neg.f64 (sqrt.f64 (+.f64 x y))))
(/.f64 (sqrt.f64 (+.f64 x y)) 1)
(/.f64 (sqrt.f64 (+.f64 x y)) (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y))))
(/.f64 (sqrt.f64 (+.f64 x y)) (/.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y))) (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)))))
(/.f64 (sqrt.f64 (+.f64 x y)) (/.f64 (.f64 (sqrt.f64 (+.f64 x y)) (/.f64 1 (sqrt.f64 (+.f64 x y)))) (.f64 (sqrt.f64 (+.f64 x y)) (/.f64 1 (sqrt.f64 (+.f64 x y))))))
(neg.f64 (neg.f64 (sqrt.f64 (+.f64 x y))))

Outputs
(sqrt.f64 y)
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 y)) x)) (sqrt.f64 y))
(+.f64 (sqrt.f64 y) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 y)) x)))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (pow.f64 x 2))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 y)) x)) (sqrt.f64 y)))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 y)) x)) (+.f64 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (.f64 -1/8 (pow.f64 x 2))) (sqrt.f64 y)))
(+.f64 (sqrt.f64 y) (+.f64 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (.f64 -1/8 (pow.f64 x 2))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 y)) x))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 y)) x)) (+.f64 (sqrt.f64 y) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (.f64 -1/8 (pow.f64 x 2)))))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (pow.f64 x 2))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 y)) x)) (+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 5))) (pow.f64 x 3))) (sqrt.f64 y))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 y)) x)) (+.f64 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (.f64 -1/8 (pow.f64 x 2))) (+.f64 (sqrt.f64 y) (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 5))) (pow.f64 x 3))))))
(+.f64 (sqrt.f64 y) (+.f64 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (.f64 -1/8 (pow.f64 x 2))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 y)) x)) (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 5))) (pow.f64 x 3))))))
(sqrt.f64 x)
(+.f64 (sqrt.f64 x) (.f64 1/2 (.f64 y (sqrt.f64 (/.f64 1 x)))))
(+.f64 (sqrt.f64 x) (.f64 y (.f64 1/2 (sqrt.f64 (/.f64 1 x)))))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 y 2) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (+.f64 (sqrt.f64 x) (.f64 1/2 (.f64 y (sqrt.f64 (/.f64 1 x))))))
(+.f64 (sqrt.f64 x) (+.f64 (.f64 -1/8 (.f64 (pow.f64 y 2) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (.f64 1/2 (.f64 y (sqrt.f64 (/.f64 1 x))))))
(+.f64 (sqrt.f64 x) (+.f64 (.f64 y (.f64 1/2 (sqrt.f64 (/.f64 1 x)))) (.f64 -1/8 (.f64 (pow.f64 y 2) (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))))
(+.f64 (sqrt.f64 x) (+.f64 (.f64 y (.f64 1/2 (sqrt.f64 (/.f64 1 x)))) (.f64 (pow.f64 y 2) (.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 y 2) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (+.f64 (.f64 1/16 (.f64 (pow.f64 y 3) (sqrt.f64 (/.f64 1 (pow.f64 x 5))))) (+.f64 (sqrt.f64 x) (.f64 1/2 (.f64 y (sqrt.f64 (/.f64 1 x)))))))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 y 2) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (+.f64 (+.f64 (sqrt.f64 x) (.f64 1/2 (.f64 y (sqrt.f64 (/.f64 1 x))))) (.f64 (pow.f64 y 3) (.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))))))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 y 2) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (+.f64 (+.f64 (sqrt.f64 x) (.f64 y (.f64 1/2 (sqrt.f64 (/.f64 1 x))))) (.f64 (pow.f64 y 3) (.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))))))
(+.f64 (sqrt.f64 x) (+.f64 (.f64 y (.f64 1/2 (sqrt.f64 (/.f64 1 x)))) (+.f64 (.f64 (pow.f64 y 2) (.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (.f64 (pow.f64 y 3) (.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 5))))))))
(+.f64 (sqrt.f64 (+.f64 x y)) 0)
(sqrt.f64 (+.f64 y x))
(+.f64 (sqrt.f64 (+.f64 x y)) (.f64 (.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y))) (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)))) 0))
(sqrt.f64 (+.f64 y x))
(+.f64 (sqrt.f64 (+.f64 x y)) (.f64 (.f64 (sqrt.f64 (+.f64 x y)) (/.f64 1 (sqrt.f64 (+.f64 x y)))) 0))
(sqrt.f64 (+.f64 y x))
(+.f64 (sqrt.f64 (+.f64 x y)) (*.f64 (neg.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)))) 0))
(sqrt.f64 (+.f64 y x))
(+.f64 0 (sqrt.f64 (+.f64 x y)))
(sqrt.f64 (+.f64 y x))
(+.f64 (.f64 0 (.f64 (sqrt.f64 (+.f64 x y)) (/.f64 1 (sqrt.f64 (+.f64 x y))))) (sqrt.f64 (+.f64 x y)))
(sqrt.f64 (+.f64 y x))
(+.f64 (.f64 0 (.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y))) (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y))))) (sqrt.f64 (+.f64 x y)))
(sqrt.f64 (+.f64 y x))
(-.f64 (sqrt.f64 (+.f64 x y)) 0)
(sqrt.f64 (+.f64 y x))
(-.f64 (sqrt.f64 (+.f64 x y)) (.f64 (.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y))) (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)))) 0))
(sqrt.f64 (+.f64 y x))
(-.f64 (sqrt.f64 (+.f64 x y)) (.f64 (.f64 (sqrt.f64 (+.f64 x y)) (/.f64 1 (sqrt.f64 (+.f64 x y)))) 0))
(sqrt.f64 (+.f64 y x))
(-.f64 (sqrt.f64 (+.f64 x y)) (*.f64 (sqrt.f64 (+.f64 x y)) (/.f64 0 (sqrt.f64 (+.f64 x y)))))
(sqrt.f64 (+.f64 y x))
(-.f64 (sqrt.f64 (+.f64 x y)) (*.f64 (neg.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)))) 0))
(sqrt.f64 (+.f64 y x))
(-.f64 0 (neg.f64 (sqrt.f64 (+.f64 x y))))
(sqrt.f64 (+.f64 y x))
(-.f64 (.f64 0 (.f64 (sqrt.f64 (+.f64 x y)) (/.f64 1 (sqrt.f64 (+.f64 x y))))) (.f64 (.f64 (sqrt.f64 (+.f64 x y)) (/.f64 1 (sqrt.f64 (+.f64 x y)))) (neg.f64 (sqrt.f64 (+.f64 x y)))))
(sqrt.f64 (+.f64 y x))
(-.f64 (.f64 0 (.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y))) (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y))))) (.f64 (.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y))) (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)))) (neg.f64 (sqrt.f64 (+.f64 x y)))))
(sqrt.f64 (+.f64 y x))
(*.f64 (sqrt.f64 (+.f64 x y)) 1)
(sqrt.f64 (+.f64 y x))
(*.f64 (sqrt.f64 (+.f64 x y)) (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y))))
(sqrt.f64 (+.f64 y x))
(.f64 (sqrt.f64 (+.f64 x y)) (.f64 (sqrt.f64 (+.f64 x y)) (/.f64 1 (sqrt.f64 (+.f64 x y)))))
(sqrt.f64 (+.f64 y x))
(.f64 (sqrt.f64 (+.f64 x y)) (.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y))) (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)))))
(sqrt.f64 (+.f64 y x))
(*.f64 (sqrt.f64 (+.f64 x y)) (/.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y))) (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)))))
(sqrt.f64 (+.f64 y x))
(.f64 (sqrt.f64 (+.f64 x y)) (.f64 (sqrt.f64 (+.f64 x y)) (/.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y))) (sqrt.f64 (+.f64 x y)))))
(sqrt.f64 (+.f64 y x))
(.f64 (sqrt.f64 (+.f64 x y)) (.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y))) (*.f64 (sqrt.f64 (+.f64 x y)) (/.f64 1 (sqrt.f64 (+.f64 x y))))))
(sqrt.f64 (+.f64 y x))
(.f64 (sqrt.f64 (+.f64 x y)) (.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y))) (*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y))) (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y))))))
(sqrt.f64 (+.f64 y x))
(.f64 (sqrt.f64 (+.f64 x y)) (.f64 (sqrt.f64 (+.f64 x y)) (/.f64 (*.f64 (sqrt.f64 (+.f64 x y)) (/.f64 1 (sqrt.f64 (+.f64 x y)))) (sqrt.f64 (+.f64 x y)))))
(sqrt.f64 (+.f64 y x))
(.f64 (sqrt.f64 (+.f64 x y)) (.f64 (sqrt.f64 (+.f64 x y)) (/.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y))) (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)))) (sqrt.f64 (+.f64 x y)))))
(sqrt.f64 (+.f64 y x))
(.f64 (sqrt.f64 (+.f64 x y)) (.f64 (.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y))) (.f64 (sqrt.f64 (+.f64 x y)) (/.f64 1 (sqrt.f64 (+.f64 x y))))) (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)))))
(sqrt.f64 (+.f64 y x))
(.f64 (sqrt.f64 (+.f64 x y)) (.f64 (.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y))) (.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y))) (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y))))) (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)))))
(sqrt.f64 (+.f64 y x))
(.f64 (sqrt.f64 (+.f64 x y)) (.f64 (*.f64 (sqrt.f64 (+.f64 x y)) (/.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y))) (sqrt.f64 (+.f64 x y)))) (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)))))
(sqrt.f64 (+.f64 y x))
(*.f64 1 (sqrt.f64 (+.f64 x y)))
(sqrt.f64 (+.f64 y x))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y))) (sqrt.f64 (+.f64 x y)))
(sqrt.f64 (+.f64 y x))
(.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y))) (.f64 (sqrt.f64 (+.f64 x y)) (/.f64 1 (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y))))))
(sqrt.f64 (+.f64 y x))
(.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y))) (+.f64 0 (.f64 (sqrt.f64 (+.f64 x y)) (/.f64 1 (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)))))))
(sqrt.f64 (+.f64 y x))
(.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y))) (.f64 (sqrt.f64 (+.f64 x y)) (/.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y))) (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)))) (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y))))))
(sqrt.f64 (+.f64 y x))
(.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y))) (.f64 (*.f64 (sqrt.f64 (+.f64 x y)) (/.f64 1 (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y))))) (/.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y))) (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y))))))
(sqrt.f64 (+.f64 y x))
(.f64 (.f64 (sqrt.f64 (+.f64 x y)) (/.f64 1 (sqrt.f64 (+.f64 x y)))) (sqrt.f64 (+.f64 x y)))
(sqrt.f64 (+.f64 y x))
(.f64 (.f64 (sqrt.f64 (+.f64 x y)) (/.f64 1 (sqrt.f64 (+.f64 x y)))) (.f64 (sqrt.f64 (+.f64 x y)) (/.f64 (.f64 (sqrt.f64 (+.f64 x y)) (/.f64 1 (sqrt.f64 (+.f64 x y)))) (*.f64 (sqrt.f64 (+.f64 x y)) (/.f64 1 (sqrt.f64 (+.f64 x y)))))))
(sqrt.f64 (+.f64 y x))
(*.f64 (neg.f64 (sqrt.f64 (+.f64 x y))) -1)
(sqrt.f64 (+.f64 y x))
(*.f64 (neg.f64 (sqrt.f64 (+.f64 x y))) (neg.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)))))
(sqrt.f64 (+.f64 y x))
(.f64 (neg.f64 (sqrt.f64 (+.f64 x y))) (.f64 (neg.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)))) (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)))))
(sqrt.f64 (+.f64 y x))
(.f64 (neg.f64 (sqrt.f64 (+.f64 x y))) (.f64 -1 (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)))))
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(*.f64 (neg.f64 (sqrt.f64 (+.f64 x y))) (-.f64 (/.f64 0 (sqrt.f64 (+.f64 x y))) (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)))))
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(.f64 (neg.f64 (sqrt.f64 (+.f64 x y))) (-.f64 0 (.f64 (sqrt.f64 (+.f64 x y)) (/.f64 1 (sqrt.f64 (+.f64 x y))))))
(sqrt.f64 (+.f64 y x))
(.f64 (neg.f64 (sqrt.f64 (+.f64 x y))) (-.f64 0 (.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y))) (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y))))))
(sqrt.f64 (+.f64 y x))
(*.f64 -1 (neg.f64 (sqrt.f64 (+.f64 x y))))
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(.f64 (.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y))) (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)))) (sqrt.f64 (+.f64 x y)))
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(*.f64 (/.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y))) (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)))) (sqrt.f64 (+.f64 x y)))
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(*.f64 (neg.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)))) (neg.f64 (sqrt.f64 (+.f64 x y))))
(sqrt.f64 (+.f64 y x))
(.f64 (neg.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)))) (.f64 (neg.f64 (sqrt.f64 (+.f64 x y))) (/.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y))) (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y))))))
(sqrt.f64 (+.f64 y x))
(.f64 (.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y))) (*.f64 (sqrt.f64 (+.f64 x y)) (/.f64 1 (sqrt.f64 (+.f64 x y))))) (sqrt.f64 (+.f64 x y)))
(sqrt.f64 (+.f64 y x))
(.f64 (.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y))) (*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y))) (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y))))) (sqrt.f64 (+.f64 x y)))
(sqrt.f64 (+.f64 y x))
(*.f64 (neg.f64 (neg.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y))))) (sqrt.f64 (+.f64 x y)))
(sqrt.f64 (+.f64 y x))
(.f64 (neg.f64 (.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y))) (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y))))) (neg.f64 (sqrt.f64 (+.f64 x y))))
(sqrt.f64 (+.f64 y x))
(.f64 (neg.f64 (.f64 (sqrt.f64 (+.f64 x y)) (/.f64 1 (sqrt.f64 (+.f64 x y))))) (neg.f64 (sqrt.f64 (+.f64 x y))))
(sqrt.f64 (+.f64 y x))
(/.f64 (sqrt.f64 (+.f64 x y)) 1)
(sqrt.f64 (+.f64 y x))
(/.f64 (sqrt.f64 (+.f64 x y)) (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y))))
(sqrt.f64 (+.f64 y x))
(/.f64 (sqrt.f64 (+.f64 x y)) (/.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y))) (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)))))
(sqrt.f64 (+.f64 y x))
(/.f64 (sqrt.f64 (+.f64 x y)) (/.f64 (.f64 (sqrt.f64 (+.f64 x y)) (/.f64 1 (sqrt.f64 (+.f64 x y)))) (.f64 (sqrt.f64 (+.f64 x y)) (/.f64 1 (sqrt.f64 (+.f64 x y))))))
(sqrt.f64 (+.f64 y x))
(neg.f64 (neg.f64 (sqrt.f64 (+.f64 x y))))
(sqrt.f64 (+.f64 y x))

eval17.0ms (1.2%)

Compiler: Compiled 1841 to 583 computations (68.3% saved)

prune12.0ms (0.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	81	1	82
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	81	2	83

Error

Counts

83 → 2

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(sqrt.f64 (+.f64 x y))
▶	1.0b	(sqrt.f64 y)

Compiler

Compiled 10 to 7 computations (30% saved)

localize2.0ms (0.2%)

Compiler: Compiled 5 to 3 computations (40% saved)

eval0.0ms (0%)

Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	1	1
Total	2	2

Error

Counts

2 → 2

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(sqrt.f64 (+.f64 x y))
✓	1.0b	(sqrt.f64 y)

Compiler

Compiled 10 to 7 computations (30% saved)

regimes13.0ms (0.9%)

Accuracy

Total -1.0b remaining (-26180.3%)

Threshold costs -1.0b (-26180.3%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

4 calls:

4.0ms	(sqrt.f64 (+.f64 x y))
3.0ms	(+.f64 x y)
3.0ms	y
3.0ms	x

Results

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

Compiler

Compiled 25 to 16 computations (36% saved)

simplify1.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	16

Stop Event

1×	done
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 10 to 7 computations (30% saved)

soundness0.0ms (0%)

end15.0ms (1.1%)

Remove: (sort x y)
Compiler: Compiled 20 to 13 computations (35% saved)

Details

analyze44.0ms (3.1%)

sample1.2s (81.5%)

preprocess8.0ms (0.6%)

simplify8.0ms (0.6%)

eval0.0ms (0%)

prune1.0ms (0%)

localize4.0ms (0.3%)

series4.0ms (0.3%)

rewrite52.0ms (3.6%)

simplify85.0ms (5.9%)

eval17.0ms (1.2%)

prune12.0ms (0.8%)

localize2.0ms (0.2%)

eval0.0ms (0%)

prune1.0ms (0.1%)

regimes13.0ms (0.9%)

simplify1.0ms (0.1%)

soundness0.0ms (0%)

end15.0ms (1.1%)

Profiling