Details

analyze244.0ms (8.2%)

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)

sample1.8s (62%)

Results

1.8s	8256×	body	256	valid
60.0ms	555×	body	256	invalid

Bogosity

preprocess12.0ms (0.4%)

Algorithm

2×	egg-herbie

Rules

2×	`swap-x-y`
2×	`rational.json-simplify-1`

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)

simplify29.0ms (1%)

Algorithm

1×	egg-herbie

Rules

2×	`rational.json-simplify-1`

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))

eval1.0ms (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)

localize8.0ms (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)

series5.0ms (0.2%)

Counts

1 → 8

Calls

6 calls:

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

rewrite129.0ms (4.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1464×	`rational.json-5`
1462×	`exponential.json-3`
1462×	`rational.json-1`
1462×	`rational.json-2`
1462×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	59	11
2	203	11
3	746	11
4	2868	11

Stop Event

1×	node limit

Counts

1 → 19

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

simplify203.0ms (6.8%)

Algorithm

1×	egg-herbie

Rules

1100×	`rational.json-simplify-50`
1070×	`rational.json-simplify-43`
1040×	`rational.json-simplify-111`
988×	`rational.json-simplify-54`
940×	`rational.json-simplify-58`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	90	657
1	166	657
2	318	657
3	652	657
4	2607	657
5	6726	657

Stop Event

1×	node limit

Counts

27 → 50

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

eval31.0ms (1.1%)

Compiler: Compiled 1050 to 633 computations (39.7% saved)

prune9.0ms (0.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	48	2	50
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	48	3	51

Error

0.0b

Counts

51 → 3

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.5b	(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 y)) x)) (sqrt.f64 y))
✓	0.0b	(sqrt.f64 (+.f64 x y))
▶	1.3b	(sqrt.f64 y)

Compiler

Compiled 23 to 17 computations (26.1% saved)

localize3.0ms (0.1%)

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

localize23.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 y)) x))
✓	0.0b	(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 y)) x)) (sqrt.f64 y))
✓	0.1b	(sqrt.f64 (/.f64 1 y))
✓	0.2b	(*.f64 (sqrt.f64 (/.f64 1 y)) x)

Compiler

Compiled 40 to 27 computations (32.5% saved)

series9.0ms (0.3%)

Counts

4 → 3

Calls

21 calls:

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

rewrite159.0ms (5.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1492×	`rational.json-simplify-49`
826×	`rational.json-simplify-47`
672×	`rational.json-simplify-50`
670×	`rational.json-simplify-58`
568×	`rational.json-5`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	84
1	109	84
2	334	84
3	1254	84
4	5013	84

Stop Event

1×	node limit

Counts

4 → 67

Calls

Call 1

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

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

simplify161.0ms (5.4%)

Algorithm

1×	egg-herbie

Rules

1166×	`rational.json-simplify-111`
1108×	`rational.json-simplify-1`
896×	`rational.json-simplify-2`
852×	`rational.json-simplify-54`
660×	`rational.json-simplify-41`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	129	1586
1	285	1490
2	727	1490
3	2388	1490
4	5431	1490

Stop Event

1×	node limit

Counts

70 → 75

Calls

Call 1

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

Outputs
(sqrt.f64 y)
(.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 y)) x))
(.f64 (sqrt.f64 (/.f64 1 y)) (.f64 1/2 x))
(.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 y)) x))
(.f64 (sqrt.f64 (/.f64 1 y)) (.f64 1/2 x))
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 y)) x) 0)
(*.f64 (sqrt.f64 (/.f64 1 y)) x)
(+.f64 (.f64 (sqrt.f64 (/.f64 1 y)) (.f64 x 1/2)) (.f64 (sqrt.f64 (/.f64 1 y)) (.f64 x 1/2)))
(*.f64 (sqrt.f64 (/.f64 1 y)) x)
(+.f64 0 (*.f64 (sqrt.f64 (/.f64 1 y)) x))
(*.f64 (sqrt.f64 (/.f64 1 y)) x)
(-.f64 (*.f64 (sqrt.f64 (/.f64 1 y)) x) 0)
(*.f64 (sqrt.f64 (/.f64 1 y)) x)
(-.f64 (.f64 (sqrt.f64 (/.f64 1 y)) (.f64 x 1/2)) (neg.f64 (.f64 (sqrt.f64 (/.f64 1 y)) (.f64 x 1/2))))
(*.f64 (sqrt.f64 (/.f64 1 y)) x)
(-.f64 0 (neg.f64 (*.f64 (sqrt.f64 (/.f64 1 y)) x)))
(*.f64 (sqrt.f64 (/.f64 1 y)) x)
(-.f64 (-.f64 0 (-.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 y)) x))) 1)
(*.f64 (sqrt.f64 (/.f64 1 y)) x)
(/.f64 (*.f64 (sqrt.f64 (/.f64 1 y)) x) 1)
(*.f64 (sqrt.f64 (/.f64 1 y)) x)
(/.f64 (.f64 (sqrt.f64 (/.f64 1 y)) x) (/.f64 (.f64 (sqrt.f64 (/.f64 1 y)) x) (*.f64 (sqrt.f64 (/.f64 1 y)) x)))
(*.f64 (sqrt.f64 (/.f64 1 y)) x)
(pow.f64 (*.f64 (sqrt.f64 (/.f64 1 y)) x) 1)
(*.f64 (sqrt.f64 (/.f64 1 y)) x)
(neg.f64 (neg.f64 (*.f64 (sqrt.f64 (/.f64 1 y)) x)))
(*.f64 (sqrt.f64 (/.f64 1 y)) x)
(+.f64 (sqrt.f64 (/.f64 1 y)) 0)
(sqrt.f64 (/.f64 1 y))
(+.f64 0 (sqrt.f64 (/.f64 1 y)))
(sqrt.f64 (/.f64 1 y))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 y)) 1/2) (.f64 (sqrt.f64 (/.f64 1 y)) 1/2))
(sqrt.f64 (/.f64 1 y))
(-.f64 (sqrt.f64 (/.f64 1 y)) 0)
(sqrt.f64 (/.f64 1 y))
(-.f64 0 (neg.f64 (sqrt.f64 (/.f64 1 y))))
(sqrt.f64 (/.f64 1 y))
(-.f64 (-.f64 0 (-.f64 -1 (sqrt.f64 (/.f64 1 y)))) 1)
(sqrt.f64 (/.f64 1 y))
(*.f64 1 (sqrt.f64 (/.f64 1 y)))
(sqrt.f64 (/.f64 1 y))
(*.f64 (sqrt.f64 (/.f64 1 y)) 1)
(sqrt.f64 (/.f64 1 y))
(*.f64 (sqrt.f64 (/.f64 1 y)) (/.f64 (sqrt.f64 (/.f64 1 y)) (sqrt.f64 (/.f64 1 y))))
(sqrt.f64 (/.f64 1 y))
(.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 y)) 2))
(sqrt.f64 (/.f64 1 y))
(*.f64 (/.f64 (sqrt.f64 (/.f64 1 y)) (sqrt.f64 (/.f64 1 y))) (sqrt.f64 (/.f64 1 y)))
(sqrt.f64 (/.f64 1 y))
(.f64 (.f64 (sqrt.f64 (/.f64 1 y)) 1/2) 2)
(sqrt.f64 (/.f64 1 y))
(.f64 (sqrt.f64 (.f64 (/.f64 1 y) (/.f64 1 y))) (/.f64 1 (sqrt.f64 (/.f64 1 y))))
(sqrt.f64 (/.f64 1 y))
(.f64 (sqrt.f64 (.f64 (/.f64 1 y) (/.f64 1 y))) (*.f64 (/.f64 1 (sqrt.f64 (/.f64 1 y))) 1))
(sqrt.f64 (/.f64 1 y))
(.f64 (sqrt.f64 (.f64 (/.f64 1 y) (/.f64 1 y))) (/.f64 (/.f64 (sqrt.f64 (/.f64 1 y)) (sqrt.f64 (/.f64 1 y))) (sqrt.f64 (/.f64 1 y))))
(sqrt.f64 (/.f64 1 y))
(.f64 (/.f64 1 (sqrt.f64 (/.f64 1 y))) (sqrt.f64 (.f64 (/.f64 1 y) (/.f64 1 y))))
(sqrt.f64 (/.f64 1 y))
(.f64 (sqrt.f64 (.f64 (.f64 (/.f64 1 y) (/.f64 1 y)) (.f64 (/.f64 1 y) (/.f64 1 y)))) (/.f64 (/.f64 1 (sqrt.f64 (/.f64 1 y))) (sqrt.f64 (*.f64 (/.f64 1 y) (/.f64 1 y)))))
(sqrt.f64 (/.f64 1 y))
(.f64 (sqrt.f64 (.f64 (.f64 (/.f64 1 y) (/.f64 1 y)) (.f64 (/.f64 1 y) (/.f64 1 y)))) (/.f64 (.f64 (/.f64 1 (sqrt.f64 (/.f64 1 y))) 1) (sqrt.f64 (.f64 (/.f64 1 y) (/.f64 1 y)))))
(sqrt.f64 (/.f64 1 y))
(.f64 (.f64 (sqrt.f64 (.f64 (.f64 (/.f64 1 y) (/.f64 1 y)) (.f64 (/.f64 1 y) (/.f64 1 y)))) (sqrt.f64 (.f64 (.f64 (/.f64 1 y) (/.f64 1 y)) (.f64 (/.f64 1 y) (/.f64 1 y))))) (/.f64 (/.f64 (/.f64 1 (sqrt.f64 (/.f64 1 y))) (sqrt.f64 (.f64 (/.f64 1 y) (/.f64 1 y)))) (sqrt.f64 (.f64 (.f64 (/.f64 1 y) (/.f64 1 y)) (.f64 (/.f64 1 y) (/.f64 1 y))))))
(sqrt.f64 (/.f64 1 y))
(/.f64 (sqrt.f64 (/.f64 1 y)) 1)
(sqrt.f64 (/.f64 1 y))
(/.f64 (sqrt.f64 (/.f64 1 y)) (/.f64 (sqrt.f64 (/.f64 1 y)) (sqrt.f64 (/.f64 1 y))))
(sqrt.f64 (/.f64 1 y))
(pow.f64 (sqrt.f64 (/.f64 1 y)) 1)
(sqrt.f64 (/.f64 1 y))
(neg.f64 (neg.f64 (sqrt.f64 (/.f64 1 y))))
(sqrt.f64 (/.f64 1 y))
(-.f64 (.f64 (sqrt.f64 (/.f64 1 y)) (.f64 x 1/2)) (neg.f64 (sqrt.f64 y)))
(-.f64 (.f64 (sqrt.f64 (/.f64 1 y)) (.f64 1/2 x)) (neg.f64 (sqrt.f64 y)))
(+.f64 (sqrt.f64 y) (.f64 (sqrt.f64 (/.f64 1 y)) (.f64 1/2 x)))
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(-.f64 (sqrt.f64 y) (neg.f64 (.f64 (sqrt.f64 (/.f64 1 y)) (.f64 x 1/2))))
(-.f64 (.f64 (sqrt.f64 (/.f64 1 y)) (.f64 1/2 x)) (neg.f64 (sqrt.f64 y)))
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(-.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 1 y)) (.f64 x 1/2)) (sqrt.f64 y)) 0)
(-.f64 (.f64 (sqrt.f64 (/.f64 1 y)) (.f64 1/2 x)) (neg.f64 (sqrt.f64 y)))
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(+.f64 (sqrt.f64 y) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 y)) x)))
(-.f64 0 (-.f64 (neg.f64 (.f64 (sqrt.f64 (/.f64 1 y)) (.f64 x 1/2))) (sqrt.f64 y)))
(-.f64 (.f64 (sqrt.f64 (/.f64 1 y)) (.f64 1/2 x)) (neg.f64 (sqrt.f64 y)))
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(-.f64 (-.f64 (.f64 (sqrt.f64 (/.f64 1 y)) (.f64 x 1/2)) (-.f64 -1 (sqrt.f64 y))) 1)
(-.f64 (.f64 (sqrt.f64 (/.f64 1 y)) (.f64 1/2 x)) (neg.f64 (sqrt.f64 y)))
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(-.f64 (-.f64 0 (-.f64 -1 (.f64 (sqrt.f64 (/.f64 1 y)) (.f64 x 1/2)))) (-.f64 1 (sqrt.f64 y)))
(-.f64 (.f64 (sqrt.f64 (/.f64 1 y)) (.f64 1/2 x)) (neg.f64 (sqrt.f64 y)))
(+.f64 (sqrt.f64 y) (.f64 (sqrt.f64 (/.f64 1 y)) (.f64 1/2 x)))
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(-.f64 (-.f64 (sqrt.f64 y) (-.f64 -1 (.f64 (sqrt.f64 (/.f64 1 y)) (.f64 x 1/2)))) 1)
(-.f64 (.f64 (sqrt.f64 (/.f64 1 y)) (.f64 1/2 x)) (neg.f64 (sqrt.f64 y)))
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(-.f64 (-.f64 0 (-.f64 (-.f64 -1 (.f64 (sqrt.f64 (/.f64 1 y)) (.f64 x 1/2))) (sqrt.f64 y))) 1)
(-.f64 (.f64 (sqrt.f64 (/.f64 1 y)) (.f64 1/2 x)) (neg.f64 (sqrt.f64 y)))
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(-.f64 (-.f64 0 (-.f64 -1 (sqrt.f64 y))) (-.f64 1 (.f64 (sqrt.f64 (/.f64 1 y)) (.f64 x 1/2))))
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(.f64 1 (+.f64 (.f64 (sqrt.f64 (/.f64 1 y)) (*.f64 x 1/2)) (sqrt.f64 y)))
(-.f64 (.f64 (sqrt.f64 (/.f64 1 y)) (.f64 1/2 x)) (neg.f64 (sqrt.f64 y)))
(+.f64 (sqrt.f64 y) (.f64 (sqrt.f64 (/.f64 1 y)) (.f64 1/2 x)))
(+.f64 (sqrt.f64 y) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 y)) x)))
(.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 1 y)) (*.f64 x 1/2)) (sqrt.f64 y)) 1)
(-.f64 (.f64 (sqrt.f64 (/.f64 1 y)) (.f64 1/2 x)) (neg.f64 (sqrt.f64 y)))
(+.f64 (sqrt.f64 y) (.f64 (sqrt.f64 (/.f64 1 y)) (.f64 1/2 x)))
(+.f64 (sqrt.f64 y) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 y)) x)))
(.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 1 y)) (.f64 x 1/2)) (sqrt.f64 y)) (/.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 1 y)) (.f64 x 1/2)) (sqrt.f64 y)) (+.f64 (.f64 (sqrt.f64 (/.f64 1 y)) (*.f64 x 1/2)) (sqrt.f64 y))))
(-.f64 (.f64 (sqrt.f64 (/.f64 1 y)) (.f64 1/2 x)) (neg.f64 (sqrt.f64 y)))
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(+.f64 (sqrt.f64 y) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 y)) x)))
(.f64 (/.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 1 y)) (.f64 x 1/2)) (sqrt.f64 y)) (+.f64 (.f64 (sqrt.f64 (/.f64 1 y)) (.f64 x 1/2)) (sqrt.f64 y))) (+.f64 (.f64 (sqrt.f64 (/.f64 1 y)) (*.f64 x 1/2)) (sqrt.f64 y)))
(-.f64 (.f64 (sqrt.f64 (/.f64 1 y)) (.f64 1/2 x)) (neg.f64 (sqrt.f64 y)))
(+.f64 (sqrt.f64 y) (.f64 (sqrt.f64 (/.f64 1 y)) (.f64 1/2 x)))
(+.f64 (sqrt.f64 y) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 y)) x)))
(.f64 (.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 1 y)) (.f64 x 1/2)) (sqrt.f64 y)) (+.f64 (.f64 (sqrt.f64 (/.f64 1 y)) (.f64 x 1/2)) (sqrt.f64 y))) (/.f64 1 (+.f64 (.f64 (sqrt.f64 (/.f64 1 y)) (.f64 x 1/2)) (sqrt.f64 y))))
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(+.f64 (sqrt.f64 y) (.f64 (sqrt.f64 (/.f64 1 y)) (.f64 1/2 x)))
(+.f64 (sqrt.f64 y) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 y)) x)))
(.f64 (.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 1 y)) (.f64 x 1/2)) (sqrt.f64 y)) (+.f64 (.f64 (sqrt.f64 (/.f64 1 y)) (.f64 x 1/2)) (sqrt.f64 y))) (.f64 (/.f64 1 (+.f64 (.f64 (sqrt.f64 (/.f64 1 y)) (*.f64 x 1/2)) (sqrt.f64 y))) 1))
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(.f64 (.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 1 y)) (.f64 x 1/2)) (sqrt.f64 y)) (+.f64 (.f64 (sqrt.f64 (/.f64 1 y)) (.f64 x 1/2)) (sqrt.f64 y))) (/.f64 (/.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 1 y)) (.f64 x 1/2)) (sqrt.f64 y)) (+.f64 (.f64 (sqrt.f64 (/.f64 1 y)) (.f64 x 1/2)) (sqrt.f64 y))) (+.f64 (.f64 (sqrt.f64 (/.f64 1 y)) (.f64 x 1/2)) (sqrt.f64 y))))
(-.f64 (.f64 (sqrt.f64 (/.f64 1 y)) (.f64 1/2 x)) (neg.f64 (sqrt.f64 y)))
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(+.f64 (sqrt.f64 y) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 y)) x)))
(.f64 (/.f64 1 (+.f64 (.f64 (sqrt.f64 (/.f64 1 y)) (.f64 x 1/2)) (sqrt.f64 y))) (.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 1 y)) (.f64 x 1/2)) (sqrt.f64 y)) (+.f64 (.f64 (sqrt.f64 (/.f64 1 y)) (.f64 x 1/2)) (sqrt.f64 y))))
(-.f64 (.f64 (sqrt.f64 (/.f64 1 y)) (.f64 1/2 x)) (neg.f64 (sqrt.f64 y)))
(+.f64 (sqrt.f64 y) (.f64 (sqrt.f64 (/.f64 1 y)) (.f64 1/2 x)))
(+.f64 (sqrt.f64 y) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 y)) x)))
(.f64 (.f64 (.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 1 y)) (.f64 x 1/2)) (sqrt.f64 y)) (+.f64 (.f64 (sqrt.f64 (/.f64 1 y)) (.f64 x 1/2)) (sqrt.f64 y))) (.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 1 y)) (.f64 x 1/2)) (sqrt.f64 y)) (+.f64 (.f64 (sqrt.f64 (/.f64 1 y)) (.f64 x 1/2)) (sqrt.f64 y)))) (/.f64 (/.f64 1 (+.f64 (.f64 (sqrt.f64 (/.f64 1 y)) (.f64 x 1/2)) (sqrt.f64 y))) (.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 1 y)) (.f64 x 1/2)) (sqrt.f64 y)) (+.f64 (.f64 (sqrt.f64 (/.f64 1 y)) (*.f64 x 1/2)) (sqrt.f64 y)))))
(-.f64 (.f64 (sqrt.f64 (/.f64 1 y)) (.f64 1/2 x)) (neg.f64 (sqrt.f64 y)))
(+.f64 (sqrt.f64 y) (.f64 (sqrt.f64 (/.f64 1 y)) (.f64 1/2 x)))
(+.f64 (sqrt.f64 y) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 y)) x)))
(.f64 (.f64 (.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 1 y)) (.f64 x 1/2)) (sqrt.f64 y)) (+.f64 (.f64 (sqrt.f64 (/.f64 1 y)) (.f64 x 1/2)) (sqrt.f64 y))) (.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 1 y)) (.f64 x 1/2)) (sqrt.f64 y)) (+.f64 (.f64 (sqrt.f64 (/.f64 1 y)) (.f64 x 1/2)) (sqrt.f64 y)))) (/.f64 (.f64 (/.f64 1 (+.f64 (.f64 (sqrt.f64 (/.f64 1 y)) (.f64 x 1/2)) (sqrt.f64 y))) 1) (.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 1 y)) (.f64 x 1/2)) (sqrt.f64 y)) (+.f64 (.f64 (sqrt.f64 (/.f64 1 y)) (.f64 x 1/2)) (sqrt.f64 y)))))
(-.f64 (.f64 (sqrt.f64 (/.f64 1 y)) (.f64 1/2 x)) (neg.f64 (sqrt.f64 y)))
(+.f64 (sqrt.f64 y) (.f64 (sqrt.f64 (/.f64 1 y)) (.f64 1/2 x)))
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(.f64 (.f64 (.f64 (.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 1 y)) (.f64 x 1/2)) (sqrt.f64 y)) (+.f64 (.f64 (sqrt.f64 (/.f64 1 y)) (.f64 x 1/2)) (sqrt.f64 y))) (.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 1 y)) (.f64 x 1/2)) (sqrt.f64 y)) (+.f64 (.f64 (sqrt.f64 (/.f64 1 y)) (.f64 x 1/2)) (sqrt.f64 y)))) (.f64 (.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 1 y)) (.f64 x 1/2)) (sqrt.f64 y)) (+.f64 (.f64 (sqrt.f64 (/.f64 1 y)) (.f64 x 1/2)) (sqrt.f64 y))) (.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 1 y)) (.f64 x 1/2)) (sqrt.f64 y)) (+.f64 (.f64 (sqrt.f64 (/.f64 1 y)) (.f64 x 1/2)) (sqrt.f64 y))))) (/.f64 (/.f64 (/.f64 1 (+.f64 (.f64 (sqrt.f64 (/.f64 1 y)) (.f64 x 1/2)) (sqrt.f64 y))) (.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 1 y)) (.f64 x 1/2)) (sqrt.f64 y)) (+.f64 (.f64 (sqrt.f64 (/.f64 1 y)) (.f64 x 1/2)) (sqrt.f64 y)))) (.f64 (.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 1 y)) (.f64 x 1/2)) (sqrt.f64 y)) (+.f64 (.f64 (sqrt.f64 (/.f64 1 y)) (.f64 x 1/2)) (sqrt.f64 y))) (.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 1 y)) (.f64 x 1/2)) (sqrt.f64 y)) (+.f64 (.f64 (sqrt.f64 (/.f64 1 y)) (.f64 x 1/2)) (sqrt.f64 y))))))
(-.f64 (.f64 (sqrt.f64 (/.f64 1 y)) (.f64 1/2 x)) (neg.f64 (sqrt.f64 y)))
(+.f64 (sqrt.f64 y) (.f64 (sqrt.f64 (/.f64 1 y)) (.f64 1/2 x)))
(+.f64 (sqrt.f64 y) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 y)) x)))
(/.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 1 y)) (.f64 x 1/2)) (sqrt.f64 y)) 1)
(-.f64 (.f64 (sqrt.f64 (/.f64 1 y)) (.f64 1/2 x)) (neg.f64 (sqrt.f64 y)))
(+.f64 (sqrt.f64 y) (.f64 (sqrt.f64 (/.f64 1 y)) (.f64 1/2 x)))
(+.f64 (sqrt.f64 y) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 y)) x)))
(/.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 1 y)) (.f64 x 1/2)) (sqrt.f64 y)) (/.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 1 y)) (.f64 x 1/2)) (sqrt.f64 y)) (+.f64 (.f64 (sqrt.f64 (/.f64 1 y)) (.f64 x 1/2)) (sqrt.f64 y))))
(-.f64 (.f64 (sqrt.f64 (/.f64 1 y)) (.f64 1/2 x)) (neg.f64 (sqrt.f64 y)))
(+.f64 (sqrt.f64 y) (.f64 (sqrt.f64 (/.f64 1 y)) (.f64 1/2 x)))
(+.f64 (sqrt.f64 y) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 y)) x)))
(pow.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 1 y)) (.f64 x 1/2)) (sqrt.f64 y)) 1)
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(+.f64 (.f64 (sqrt.f64 (/.f64 1 y)) (.f64 x 1/2)) 0)
(.f64 (sqrt.f64 (/.f64 1 y)) (.f64 1/2 x))
(.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 y)) x))
(+.f64 0 (.f64 (sqrt.f64 (/.f64 1 y)) (.f64 x 1/2)))
(.f64 (sqrt.f64 (/.f64 1 y)) (.f64 1/2 x))
(.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 y)) x))
(-.f64 (.f64 (sqrt.f64 (/.f64 1 y)) (.f64 x 1/2)) 0)
(.f64 (sqrt.f64 (/.f64 1 y)) (.f64 1/2 x))
(.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 y)) x))
(-.f64 0 (neg.f64 (.f64 (sqrt.f64 (/.f64 1 y)) (.f64 x 1/2))))
(.f64 (sqrt.f64 (/.f64 1 y)) (.f64 1/2 x))
(.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 y)) x))
(-.f64 (-.f64 0 (-.f64 -1 (.f64 (sqrt.f64 (/.f64 1 y)) (.f64 x 1/2)))) 1)
(.f64 (sqrt.f64 (/.f64 1 y)) (.f64 1/2 x))
(.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 y)) x))
(/.f64 (.f64 (sqrt.f64 (/.f64 1 y)) (.f64 x 1/2)) 1)
(.f64 (sqrt.f64 (/.f64 1 y)) (.f64 1/2 x))
(.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 y)) x))
(/.f64 (.f64 (sqrt.f64 (/.f64 1 y)) (.f64 x 1/2)) (/.f64 (.f64 (sqrt.f64 (/.f64 1 y)) x) (.f64 (sqrt.f64 (/.f64 1 y)) x)))
(.f64 (sqrt.f64 (/.f64 1 y)) (.f64 1/2 x))
(.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 y)) x))
(pow.f64 (.f64 (sqrt.f64 (/.f64 1 y)) (.f64 x 1/2)) 1)
(.f64 (sqrt.f64 (/.f64 1 y)) (.f64 1/2 x))
(.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 y)) x))
(neg.f64 (neg.f64 (.f64 (sqrt.f64 (/.f64 1 y)) (.f64 x 1/2))))
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eval39.0ms (1.3%)

Compiler: Compiled 1715 to 1198 computations (30.1% saved)

prune12.0ms (0.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	75	0	75
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	75	3	78

Error

0.0b

Counts

78 → 3

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.5b	(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 y)) x)) (sqrt.f64 y))
✓	0.0b	(sqrt.f64 (+.f64 x y))
✓	1.3b	(sqrt.f64 y)

Compiler

Compiled 23 to 17 computations (26.1% saved)

regimes24.0ms (0.8%)

Accuracy

Total -1.3b remaining (-11010.1%)

Threshold costs -1.3b (-11010.1%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

4 calls:

9.0ms	(+.f64 x y)
4.0ms	(sqrt.f64 (+.f64 x y))
4.0ms	x
4.0ms	y

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 36 to 23 computations (36.1% saved)

simplify2.0ms (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%)

end23.0ms (0.8%)

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

Details

analyze244.0ms (8.2%)

sample1.8s (62%)

preprocess12.0ms (0.4%)

simplify29.0ms (1%)

eval1.0ms (0%)

prune1.0ms (0%)

localize8.0ms (0.3%)

series5.0ms (0.2%)

rewrite129.0ms (4.3%)

simplify203.0ms (6.8%)

eval31.0ms (1.1%)

prune9.0ms (0.3%)

localize3.0ms (0.1%)

localize23.0ms (0.8%)

series9.0ms (0.3%)

rewrite159.0ms (5.3%)

simplify161.0ms (5.4%)

eval39.0ms (1.3%)

prune12.0ms (0.4%)

regimes24.0ms (0.8%)

simplify2.0ms (0.1%)

soundness0.0ms (0%)

end23.0ms (0.8%)

Profiling