Details

analyze92.0ms (1.5%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
25%	25%	74.9%	0.1%	0%	0%	0%	5
37.5%	37.5%	62.4%	0.1%	0%	0%	0%	6
56.3%	56.2%	43.7%	0.1%	0%	0%	0%	7
65.6%	65.6%	34.3%	0.1%	0%	0%	0%	8
76.6%	76.5%	23.4%	0.1%	0%	0%	0%	9
82%	82%	18%	0.1%	0%	0%	0%	10
87.9%	87.8%	12.1%	0.1%	0%	0%	0%	11
90.8%	90.7%	9.2%	0.1%	0%	0%	0%	12

Compiler

Compiled 8 to 6 computations (25% saved)

sample1.1s (18.7%)

Results

1.1s

8256×

body

256

valid

Bogosity

preprocess29.0ms (0.5%)

Algorithm

2×	egg-herbie

Rules

2×	`swap-x-y`
2×	`rational.json-simplify-71`
2×	`rational.json-simplify-53`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	30
1	12	30
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 (fabs.f64 (-.f64 x y)))
(sqrt.f64 (fabs.f64 (-.f64 y x)))

Outputs
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt.f64 (fabs.f64 (-.f64 y x)))
(sqrt.f64 (fabs.f64 (-.f64 x y)))

Symmetry

(sort x y)

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify23.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

2×	`rational.json-simplify-71`
2×	`rational.json-simplify-53`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	11	15

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

Inputs
(sqrt.f64 (fabs.f64 (-.f64 x y)))

Outputs
(sqrt.f64 (fabs.f64 (-.f64 x y)))

eval1.0ms (0%)

Compiler: Compiled 7 to 5 computations (28.6% 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 (fabs.f64 (-.f64 x y)))

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize11.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 16 to 5 computations (68.8% saved)

series3.0ms (0%)

Counts

1 → 8

Calls

6 calls:

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

rewrite115.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1634×	`rational.json-5`
1632×	`exponential.json-3`
1632×	`rational.json-1`
1632×	`rational.json-2`
1632×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	69	15
2	243	15
3	917	15
4	3481	15

Stop Event

1×	node limit

Counts

1 → 14

Calls

Call 1

Inputs
(sqrt.f64 (fabs.f64 (-.f64 x y)))

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

Outputs

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

simplify154.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

1280×	`rational.json-simplify-49`
1006×	`rational.json-simplify-104`
962×	`rational.json-simplify-2`
938×	`rational.json-simplify-47`
682×	`rational.json-simplify-58`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	42	550
1	65	506
2	127	418
3	321	418
4	1690	330
5	5391	330

Stop Event

1×	node limit

Counts

22 → 19

Calls

Call 1

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

Outputs
(sqrt.f64 (fabs.f64 (neg.f64 (+.f64 y (*.f64 -1 x)))))
(sqrt.f64 (fabs.f64 (neg.f64 (+.f64 y (neg.f64 x)))))
(sqrt.f64 (fabs.f64 (+.f64 y (neg.f64 x))))
(sqrt.f64 (fabs.f64 (-.f64 y x)))
(sqrt.f64 (fabs.f64 (neg.f64 (+.f64 y (*.f64 -1 x)))))
(sqrt.f64 (fabs.f64 (neg.f64 (+.f64 y (neg.f64 x)))))
(sqrt.f64 (fabs.f64 (+.f64 y (neg.f64 x))))
(sqrt.f64 (fabs.f64 (-.f64 y x)))
(sqrt.f64 (fabs.f64 (neg.f64 (+.f64 y (*.f64 -1 x)))))
(sqrt.f64 (fabs.f64 (neg.f64 (+.f64 y (neg.f64 x)))))
(sqrt.f64 (fabs.f64 (+.f64 y (neg.f64 x))))
(sqrt.f64 (fabs.f64 (-.f64 y x)))
(sqrt.f64 (fabs.f64 (neg.f64 (+.f64 y (*.f64 -1 x)))))
(sqrt.f64 (fabs.f64 (neg.f64 (+.f64 y (neg.f64 x)))))
(sqrt.f64 (fabs.f64 (+.f64 y (neg.f64 x))))
(sqrt.f64 (fabs.f64 (-.f64 y x)))
(sqrt.f64 (fabs.f64 (+.f64 (*.f64 -1 y) x)))
(sqrt.f64 (fabs.f64 (neg.f64 (+.f64 y (*.f64 -1 x)))))
(sqrt.f64 (fabs.f64 (neg.f64 (+.f64 y (neg.f64 x)))))
(sqrt.f64 (fabs.f64 (+.f64 y (neg.f64 x))))
(sqrt.f64 (fabs.f64 (-.f64 y x)))
(sqrt.f64 (fabs.f64 (+.f64 (*.f64 -1 y) x)))
(sqrt.f64 (fabs.f64 (neg.f64 (+.f64 y (*.f64 -1 x)))))
(sqrt.f64 (fabs.f64 (neg.f64 (+.f64 y (neg.f64 x)))))
(sqrt.f64 (fabs.f64 (+.f64 y (neg.f64 x))))
(sqrt.f64 (fabs.f64 (-.f64 y x)))
(sqrt.f64 (fabs.f64 (+.f64 (*.f64 -1 y) x)))
(sqrt.f64 (fabs.f64 (neg.f64 (+.f64 y (*.f64 -1 x)))))
(sqrt.f64 (fabs.f64 (neg.f64 (+.f64 y (neg.f64 x)))))
(sqrt.f64 (fabs.f64 (+.f64 y (neg.f64 x))))
(sqrt.f64 (fabs.f64 (-.f64 y x)))
(sqrt.f64 (fabs.f64 (+.f64 (*.f64 -1 y) x)))
(sqrt.f64 (fabs.f64 (neg.f64 (+.f64 y (*.f64 -1 x)))))
(sqrt.f64 (fabs.f64 (neg.f64 (+.f64 y (neg.f64 x)))))
(sqrt.f64 (fabs.f64 (+.f64 y (neg.f64 x))))
(sqrt.f64 (fabs.f64 (-.f64 y x)))
(+.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))) 0)
(sqrt.f64 (fabs.f64 (neg.f64 (+.f64 y (*.f64 -1 x)))))
(sqrt.f64 (fabs.f64 (neg.f64 (+.f64 y (neg.f64 x)))))
(sqrt.f64 (fabs.f64 (+.f64 y (neg.f64 x))))
(sqrt.f64 (fabs.f64 (-.f64 y x)))
(+.f64 0 (sqrt.f64 (fabs.f64 (-.f64 x y))))
(sqrt.f64 (fabs.f64 (neg.f64 (+.f64 y (*.f64 -1 x)))))
(sqrt.f64 (fabs.f64 (neg.f64 (+.f64 y (neg.f64 x)))))
(sqrt.f64 (fabs.f64 (+.f64 y (neg.f64 x))))
(sqrt.f64 (fabs.f64 (-.f64 y x)))
(-.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))) 0)
(sqrt.f64 (fabs.f64 (neg.f64 (+.f64 y (*.f64 -1 x)))))
(sqrt.f64 (fabs.f64 (neg.f64 (+.f64 y (neg.f64 x)))))
(sqrt.f64 (fabs.f64 (+.f64 y (neg.f64 x))))
(sqrt.f64 (fabs.f64 (-.f64 y x)))
(*.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))) 1)
(sqrt.f64 (fabs.f64 (neg.f64 (+.f64 y (*.f64 -1 x)))))
(sqrt.f64 (fabs.f64 (neg.f64 (+.f64 y (neg.f64 x)))))
(sqrt.f64 (fabs.f64 (+.f64 y (neg.f64 x))))
(sqrt.f64 (fabs.f64 (-.f64 y x)))
(*.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))) (/.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))) (sqrt.f64 (fabs.f64 (-.f64 x y)))))
(sqrt.f64 (fabs.f64 (neg.f64 (+.f64 y (*.f64 -1 x)))))
(sqrt.f64 (fabs.f64 (neg.f64 (+.f64 y (neg.f64 x)))))
(sqrt.f64 (fabs.f64 (+.f64 y (neg.f64 x))))
(sqrt.f64 (fabs.f64 (-.f64 y x)))
(*.f64 1 (sqrt.f64 (fabs.f64 (-.f64 x y))))
(sqrt.f64 (fabs.f64 (neg.f64 (+.f64 y (*.f64 -1 x)))))
(sqrt.f64 (fabs.f64 (neg.f64 (+.f64 y (neg.f64 x)))))
(sqrt.f64 (fabs.f64 (+.f64 y (neg.f64 x))))
(sqrt.f64 (fabs.f64 (-.f64 y x)))
(*.f64 (/.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))) (sqrt.f64 (fabs.f64 (-.f64 x y)))) (sqrt.f64 (fabs.f64 (-.f64 x y))))
(sqrt.f64 (fabs.f64 (neg.f64 (+.f64 y (*.f64 -1 x)))))
(sqrt.f64 (fabs.f64 (neg.f64 (+.f64 y (neg.f64 x)))))
(sqrt.f64 (fabs.f64 (+.f64 y (neg.f64 x))))
(sqrt.f64 (fabs.f64 (-.f64 y x)))
(.f64 (sqrt.f64 (.f64 (-.f64 y x) (-.f64 y x))) (/.f64 1 (sqrt.f64 (fabs.f64 (-.f64 x y)))))
(sqrt.f64 (fabs.f64 (neg.f64 (+.f64 y (*.f64 -1 x)))))
(sqrt.f64 (fabs.f64 (neg.f64 (+.f64 y (neg.f64 x)))))
(sqrt.f64 (fabs.f64 (+.f64 y (neg.f64 x))))
(sqrt.f64 (fabs.f64 (-.f64 y x)))
(.f64 (/.f64 1 (sqrt.f64 (fabs.f64 (-.f64 x y)))) (sqrt.f64 (.f64 (-.f64 y x) (-.f64 y x))))
(sqrt.f64 (fabs.f64 (neg.f64 (+.f64 y (*.f64 -1 x)))))
(sqrt.f64 (fabs.f64 (neg.f64 (+.f64 y (neg.f64 x)))))
(sqrt.f64 (fabs.f64 (+.f64 y (neg.f64 x))))
(sqrt.f64 (fabs.f64 (-.f64 y x)))
(.f64 (sqrt.f64 (.f64 (.f64 (-.f64 y x) (-.f64 y x)) (.f64 (-.f64 y x) (-.f64 y x)))) (/.f64 (/.f64 1 (sqrt.f64 (fabs.f64 (-.f64 x y)))) (sqrt.f64 (*.f64 (-.f64 y x) (-.f64 y x)))))
(sqrt.f64 (fabs.f64 (neg.f64 (+.f64 y (*.f64 -1 x)))))
(sqrt.f64 (fabs.f64 (neg.f64 (+.f64 y (neg.f64 x)))))
(sqrt.f64 (fabs.f64 (+.f64 y (neg.f64 x))))
(sqrt.f64 (fabs.f64 (-.f64 y x)))
(.f64 (/.f64 (/.f64 1 (sqrt.f64 (fabs.f64 (-.f64 x y)))) (sqrt.f64 (.f64 (-.f64 y x) (-.f64 y x)))) (sqrt.f64 (.f64 (.f64 (-.f64 y x) (-.f64 y x)) (*.f64 (-.f64 y x) (-.f64 y x)))))
(sqrt.f64 (fabs.f64 (neg.f64 (+.f64 y (*.f64 -1 x)))))
(sqrt.f64 (fabs.f64 (neg.f64 (+.f64 y (neg.f64 x)))))
(sqrt.f64 (fabs.f64 (+.f64 y (neg.f64 x))))
(sqrt.f64 (fabs.f64 (-.f64 y x)))
(/.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))) 1)
(sqrt.f64 (fabs.f64 (neg.f64 (+.f64 y (*.f64 -1 x)))))
(sqrt.f64 (fabs.f64 (neg.f64 (+.f64 y (neg.f64 x)))))
(sqrt.f64 (fabs.f64 (+.f64 y (neg.f64 x))))
(sqrt.f64 (fabs.f64 (-.f64 y x)))
(/.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))) (/.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))) (sqrt.f64 (fabs.f64 (-.f64 x y)))))
(sqrt.f64 (fabs.f64 (neg.f64 (+.f64 y (*.f64 -1 x)))))
(sqrt.f64 (fabs.f64 (neg.f64 (+.f64 y (neg.f64 x)))))
(sqrt.f64 (fabs.f64 (+.f64 y (neg.f64 x))))
(sqrt.f64 (fabs.f64 (-.f64 y x)))
(pow.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))) 1)
(sqrt.f64 (fabs.f64 (neg.f64 (+.f64 y (*.f64 -1 x)))))
(sqrt.f64 (fabs.f64 (neg.f64 (+.f64 y (neg.f64 x)))))
(sqrt.f64 (fabs.f64 (+.f64 y (neg.f64 x))))
(sqrt.f64 (fabs.f64 (-.f64 y x)))

eval6.0ms (0.1%)

Compiler: Compiled 233 to 62 computations (73.4% saved)

prune6.0ms (0.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	18	1	19
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	18	2	20

Error

0.0b

Counts

20 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	31.6b	(.f64 (/.f64 1 (sqrt.f64 (fabs.f64 (-.f64 x y)))) (sqrt.f64 (.f64 (-.f64 y x) (-.f64 y x))))
✓	0.0b	(sqrt.f64 (fabs.f64 (-.f64 x y)))

Compiler

Compiled 25 to 16 computations (36% saved)

localize30.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (-.f64 y x) (-.f64 y x))
✓	0.2b	(.f64 (/.f64 1 (sqrt.f64 (fabs.f64 (-.f64 x y)))) (sqrt.f64 (.f64 (-.f64 y x) (-.f64 y x))))
✓	0.3b	(/.f64 1 (sqrt.f64 (fabs.f64 (-.f64 x y))))
✓	29.3b	(sqrt.f64 (*.f64 (-.f64 y x) (-.f64 y x)))

Compiler

Compiled 58 to 14 computations (75.9% saved)

series15.0ms (0.2%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
2.0ms	y	@	-inf	(/.f64 1 (sqrt.f64 (fabs.f64 (-.f64 x y))))
1.0ms	x	@	0	(/.f64 1 (sqrt.f64 (fabs.f64 (-.f64 x y))))
1.0ms	x	@	-inf	(/.f64 1 (sqrt.f64 (fabs.f64 (-.f64 x y))))
1.0ms	y	@	inf	(/.f64 1 (sqrt.f64 (fabs.f64 (-.f64 x y))))
1.0ms	x	@	inf	(/.f64 1 (sqrt.f64 (fabs.f64 (-.f64 x y))))

rewrite180.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

1230×	`rational.json-simplify-2`
786×	`rational.json-simplify-47`
682×	`rational.json-simplify-58`
630×	`rational.json-5`
628×	`exponential.json-3`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	112
1	117	112
2	361	78
3	1383	78
4	5003	78

Stop Event

1×	node limit

Counts

4 → 141

Calls

Call 1

Inputs
(sqrt.f64 (*.f64 (-.f64 y x) (-.f64 y x)))
(/.f64 1 (sqrt.f64 (fabs.f64 (-.f64 x y))))
(.f64 (/.f64 1 (sqrt.f64 (fabs.f64 (-.f64 x y)))) (sqrt.f64 (.f64 (-.f64 y x) (-.f64 y x))))
(*.f64 (-.f64 y x) (-.f64 y x))

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

simplify229.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

1456×	`rational.json-simplify-54`
1282×	`rational.json-simplify-50`
1236×	`rational.json-simplify-43`
770×	`exponential.json-simplify-26`
502×	`rational.json-simplify-2`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	326	6083
1	727	5583
2	1336	5493
3	3674	5485

Stop Event

1×	node limit

Counts

237 → 214

Calls

Call 1

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

Outputs
(*.f64 -1 x)
(neg.f64 x)
(+.f64 y (*.f64 -1 x))
(+.f64 (*.f64 -1 x) y)
(+.f64 (neg.f64 x) y)
(+.f64 y (*.f64 -1 x))
(+.f64 (*.f64 -1 x) y)
(+.f64 (neg.f64 x) y)
(+.f64 y (*.f64 -1 x))
(+.f64 (*.f64 -1 x) y)
(+.f64 (neg.f64 x) y)
y
(+.f64 y (*.f64 -1 x))
(+.f64 (*.f64 -1 x) y)
(+.f64 (neg.f64 x) y)
(+.f64 y (*.f64 -1 x))
(+.f64 (*.f64 -1 x) y)
(+.f64 (neg.f64 x) y)
(+.f64 y (*.f64 -1 x))
(+.f64 (*.f64 -1 x) y)
(+.f64 (neg.f64 x) y)
(*.f64 -1 y)
(neg.f64 y)
(+.f64 (*.f64 -1 y) x)
(+.f64 x (*.f64 -1 y))
(+.f64 x (neg.f64 y))
(+.f64 (*.f64 -1 y) x)
(+.f64 x (*.f64 -1 y))
(+.f64 x (neg.f64 y))
(+.f64 (*.f64 -1 y) x)
(+.f64 x (*.f64 -1 y))
(+.f64 x (neg.f64 y))
y
(+.f64 y (*.f64 -1 x))
(+.f64 (*.f64 -1 x) y)
(+.f64 (neg.f64 x) y)
(+.f64 y (*.f64 -1 x))
(+.f64 (*.f64 -1 x) y)
(+.f64 (neg.f64 x) y)
(+.f64 y (*.f64 -1 x))
(+.f64 (*.f64 -1 x) y)
(+.f64 (neg.f64 x) y)
(*.f64 -1 x)
(neg.f64 x)
(+.f64 y (*.f64 -1 x))
(+.f64 (*.f64 -1 x) y)
(+.f64 (neg.f64 x) y)
(+.f64 y (*.f64 -1 x))
(+.f64 (*.f64 -1 x) y)
(+.f64 (neg.f64 x) y)
(+.f64 y (*.f64 -1 x))
(+.f64 (*.f64 -1 x) y)
(+.f64 (neg.f64 x) y)
(*.f64 -1 x)
(neg.f64 x)
(+.f64 y (*.f64 -1 x))
(+.f64 (*.f64 -1 x) y)
(+.f64 (neg.f64 x) y)
(+.f64 y (*.f64 -1 x))
(+.f64 (*.f64 -1 x) y)
(+.f64 (neg.f64 x) y)
(+.f64 y (*.f64 -1 x))
(+.f64 (*.f64 -1 x) y)
(+.f64 (neg.f64 x) y)
(sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y))))
(sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 y x))))
(sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y))))
(sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 y x))))
(sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y))))
(sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 y x))))
(sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y))))
(sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 y x))))
(sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y))))
(sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 y x))))
(sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y))))
(sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 y x))))
(sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y))))
(sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 y x))))
(sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y))))
(sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 y x))))
(sqrt.f64 (/.f64 1 (fabs.f64 (neg.f64 (+.f64 y (*.f64 -1 x))))))
(sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y))))
(sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 y x))))
(sqrt.f64 (/.f64 1 (fabs.f64 (neg.f64 (+.f64 y (*.f64 -1 x))))))
(sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y))))
(sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 y x))))
(sqrt.f64 (/.f64 1 (fabs.f64 (neg.f64 (+.f64 y (*.f64 -1 x))))))
(sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y))))
(sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 y x))))
(sqrt.f64 (/.f64 1 (fabs.f64 (neg.f64 (+.f64 y (*.f64 -1 x))))))
(sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y))))
(sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 y x))))
(sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y))))
(sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 y x))))
(sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y))))
(sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 y x))))
(sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y))))
(sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 y x))))
(sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y))))
(sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 y x))))
(sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y))))
(sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 y x))))
(sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y))))
(sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 y x))))
(sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y))))
(sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 y x))))
(sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y))))
(sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 y x))))
(sqrt.f64 (/.f64 1 (fabs.f64 (+.f64 (*.f64 -1 y) x))))
(sqrt.f64 (/.f64 1 (fabs.f64 (+.f64 x (*.f64 -1 y)))))
(sqrt.f64 (/.f64 1 (fabs.f64 (+.f64 x (neg.f64 y)))))
(sqrt.f64 (/.f64 1 (fabs.f64 (+.f64 (*.f64 -1 y) x))))
(sqrt.f64 (/.f64 1 (fabs.f64 (+.f64 x (*.f64 -1 y)))))
(sqrt.f64 (/.f64 1 (fabs.f64 (+.f64 x (neg.f64 y)))))
(sqrt.f64 (/.f64 1 (fabs.f64 (+.f64 (*.f64 -1 y) x))))
(sqrt.f64 (/.f64 1 (fabs.f64 (+.f64 x (*.f64 -1 y)))))
(sqrt.f64 (/.f64 1 (fabs.f64 (+.f64 x (neg.f64 y)))))
(sqrt.f64 (/.f64 1 (fabs.f64 (+.f64 (*.f64 -1 y) x))))
(sqrt.f64 (/.f64 1 (fabs.f64 (+.f64 x (*.f64 -1 y)))))
(sqrt.f64 (/.f64 1 (fabs.f64 (+.f64 x (neg.f64 y)))))
(*.f64 y (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))))
(*.f64 y (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 y x)))))
(+.f64 (.f64 y (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y))))) (.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))) x)))
(+.f64 (.f64 y (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y))))) (.f64 -1 (*.f64 x (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))))))
(*.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))) (+.f64 (neg.f64 x) y))
(*.f64 (+.f64 (neg.f64 x) y) (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 y x)))))
(*.f64 (+.f64 (neg.f64 x) y) (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))))
(+.f64 (.f64 y (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y))))) (.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))) x)))
(+.f64 (.f64 y (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y))))) (.f64 -1 (*.f64 x (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))))))
(*.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))) (+.f64 (neg.f64 x) y))
(*.f64 (+.f64 (neg.f64 x) y) (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 y x)))))
(*.f64 (+.f64 (neg.f64 x) y) (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))))
(+.f64 (.f64 y (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y))))) (.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))) x)))
(+.f64 (.f64 y (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y))))) (.f64 -1 (*.f64 x (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))))))
(*.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))) (+.f64 (neg.f64 x) y))
(*.f64 (+.f64 (neg.f64 x) y) (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 y x)))))
(*.f64 (+.f64 (neg.f64 x) y) (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))))
(.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))) x))
(.f64 -1 (.f64 x (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y))))))
(*.f64 (neg.f64 x) (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))))
(*.f64 (neg.f64 x) (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 y x)))))
(+.f64 (.f64 y (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y))))) (.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))) x)))
(+.f64 (.f64 y (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y))))) (.f64 -1 (*.f64 x (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))))))
(*.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))) (+.f64 (neg.f64 x) y))
(*.f64 (+.f64 (neg.f64 x) y) (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 y x)))))
(*.f64 (+.f64 (neg.f64 x) y) (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))))
(+.f64 (.f64 y (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y))))) (.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))) x)))
(+.f64 (.f64 y (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y))))) (.f64 -1 (*.f64 x (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))))))
(*.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))) (+.f64 (neg.f64 x) y))
(*.f64 (+.f64 (neg.f64 x) y) (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 y x)))))
(*.f64 (+.f64 (neg.f64 x) y) (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))))
(+.f64 (.f64 y (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y))))) (.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))) x)))
(+.f64 (.f64 y (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y))))) (.f64 -1 (*.f64 x (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))))))
(*.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))) (+.f64 (neg.f64 x) y))
(*.f64 (+.f64 (neg.f64 x) y) (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 y x)))))
(*.f64 (+.f64 (neg.f64 x) y) (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))))
(.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (neg.f64 (+.f64 y (*.f64 -1 x)))))) x))
(.f64 -1 (.f64 x (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y))))))
(*.f64 (neg.f64 x) (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))))
(*.f64 (neg.f64 x) (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 y x)))))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (neg.f64 (+.f64 y (.f64 -1 x)))))) x)) (.f64 y (sqrt.f64 (/.f64 1 (fabs.f64 (neg.f64 (+.f64 y (*.f64 -1 x))))))))
(+.f64 (.f64 y (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y))))) (.f64 -1 (*.f64 x (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))))))
(*.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))) (+.f64 (neg.f64 x) y))
(*.f64 (+.f64 (neg.f64 x) y) (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 y x)))))
(*.f64 (+.f64 (neg.f64 x) y) (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (neg.f64 (+.f64 y (.f64 -1 x)))))) x)) (.f64 y (sqrt.f64 (/.f64 1 (fabs.f64 (neg.f64 (+.f64 y (*.f64 -1 x))))))))
(+.f64 (.f64 y (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y))))) (.f64 -1 (*.f64 x (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))))))
(*.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))) (+.f64 (neg.f64 x) y))
(*.f64 (+.f64 (neg.f64 x) y) (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 y x)))))
(*.f64 (+.f64 (neg.f64 x) y) (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (neg.f64 (+.f64 y (.f64 -1 x)))))) x)) (.f64 y (sqrt.f64 (/.f64 1 (fabs.f64 (neg.f64 (+.f64 y (*.f64 -1 x))))))))
(+.f64 (.f64 y (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y))))) (.f64 -1 (*.f64 x (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))))))
(*.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))) (+.f64 (neg.f64 x) y))
(*.f64 (+.f64 (neg.f64 x) y) (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 y x)))))
(*.f64 (+.f64 (neg.f64 x) y) (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))))
(.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))) x))
(.f64 -1 (.f64 x (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y))))))
(*.f64 (neg.f64 x) (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))))
(*.f64 (neg.f64 x) (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 y x)))))
(+.f64 (.f64 y (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y))))) (.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))) x)))
(+.f64 (.f64 y (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y))))) (.f64 -1 (*.f64 x (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))))))
(*.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))) (+.f64 (neg.f64 x) y))
(*.f64 (+.f64 (neg.f64 x) y) (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 y x)))))
(*.f64 (+.f64 (neg.f64 x) y) (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))))
(+.f64 (.f64 y (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y))))) (.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))) x)))
(+.f64 (.f64 y (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y))))) (.f64 -1 (*.f64 x (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))))))
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(*.f64 (-.f64 x y) (-.f64 x y))
(fabs.f64 (-.f64 0 (*.f64 (/.f64 (-.f64 x y) (fabs.f64 (/.f64 (-.f64 y x) (-.f64 y x)))) (/.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 (/.f64 (-.f64 y x) (-.f64 y x)))))))
(*.f64 (-.f64 y x) (-.f64 y x))
(*.f64 (-.f64 x y) (-.f64 x y))
(fabs.f64 (-.f64 0 (/.f64 (*.f64 (-.f64 y x) (-.f64 y x)) (neg.f64 (/.f64 (-.f64 y x) (-.f64 y x))))))
(*.f64 (-.f64 y x) (-.f64 y x))
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eval222.0ms (3.7%)

Compiler: Compiled 5698 to 1550 computations (72.8% saved)

prune65.0ms (1.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	212	2	214
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	213	3	216

Error

Counts

216 → 3

Alt Table

Click to see full alt table

Status

Error

Program

▶

0.3b

(+.f64 (*.f64 y (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y))))) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))) x)))

▶

0.5b

(*.f64 (/.f64 1 (sqrt.f64 (fabs.f64 (-.f64 x y)))) (+.f64 (neg.f64 x) y))

✓

0.0b

(sqrt.f64 (fabs.f64 (-.f64 x y)))

Compiler

Compiled 44 to 30 computations (31.8% saved)

localize29.0ms (0.5%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(sqrt.f64 (fabs.f64 (-.f64 x y)))
✓	0.2b	(*.f64 (/.f64 1 (sqrt.f64 (fabs.f64 (-.f64 x y)))) (+.f64 (neg.f64 x) y))
	0.3b	(/.f64 1 (sqrt.f64 (fabs.f64 (-.f64 x y))))

Compiler

Compiled 42 to 13 computations (69% saved)

series4.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	y	@	-inf	(*.f64 (/.f64 1 (sqrt.f64 (fabs.f64 (-.f64 x y)))) (+.f64 (neg.f64 x) y))
0.0ms	x	@	0	(*.f64 (/.f64 1 (sqrt.f64 (fabs.f64 (-.f64 x y)))) (+.f64 (neg.f64 x) y))
0.0ms	x	@	-inf	(*.f64 (/.f64 1 (sqrt.f64 (fabs.f64 (-.f64 x y)))) (+.f64 (neg.f64 x) y))
0.0ms	x	@	inf	(*.f64 (/.f64 1 (sqrt.f64 (fabs.f64 (-.f64 x y)))) (+.f64 (neg.f64 x) y))
0.0ms	y	@	inf	(*.f64 (/.f64 1 (sqrt.f64 (fabs.f64 (-.f64 x y)))) (+.f64 (neg.f64 x) y))

rewrite211.0ms (3.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1152×	`rational.json-simplify-2`
730×	`rational.json-simplify-47`
620×	`rational.json-5`
620×	`rational.json-simplify-58`
618×	`exponential.json-3`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	13	37
1	114	37
2	359	37
3	1312	33
4	4942	33

Stop Event

1×	node limit

Counts

1 → 9

Calls

Call 1

Inputs
(*.f64 (/.f64 1 (sqrt.f64 (fabs.f64 (-.f64 x y)))) (+.f64 (neg.f64 x) y))

Outputs

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

simplify358.0ms (5.9%)

Algorithm

1×	egg-herbie

Rules

1822×	`rational.json-simplify-47`
1216×	`rational.json-simplify-111`
860×	`rational.json-simplify-2`
810×	`rational.json-simplify-1`
554×	`rational.json-simplify-49`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	52	1647
1	101	1137
2	201	1137
3	473	1137
4	1648	1137
5	4082	1137
6	7350	1137

Stop Event

1×	node limit

Counts

33 → 27

Calls

Call 1

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

Outputs
(*.f64 y (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))))
(*.f64 y (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 y x)))))
(+.f64 (.f64 y (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y))))) (.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))) x)))
(+.f64 (.f64 y (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y))))) (.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))) (*.f64 x -1)))
(*.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))) (+.f64 y (neg.f64 x)))
(*.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 y x)))) (+.f64 y (neg.f64 x)))
(+.f64 (.f64 y (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y))))) (.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))) x)))
(+.f64 (.f64 y (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y))))) (.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))) (*.f64 x -1)))
(*.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))) (+.f64 y (neg.f64 x)))
(*.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 y x)))) (+.f64 y (neg.f64 x)))
(+.f64 (.f64 y (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y))))) (.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))) x)))
(+.f64 (.f64 y (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y))))) (.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))) (*.f64 x -1)))
(*.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))) (+.f64 y (neg.f64 x)))
(*.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 y x)))) (+.f64 y (neg.f64 x)))
(.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))) x))
(.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))) (.f64 x -1))
(*.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))) (neg.f64 x))
(*.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 y x)))) (neg.f64 x))
(*.f64 x (neg.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y))))))
(*.f64 x (neg.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 y x))))))
(+.f64 (.f64 y (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y))))) (.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))) x)))
(+.f64 (.f64 y (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y))))) (.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))) (*.f64 x -1)))
(*.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))) (+.f64 y (neg.f64 x)))
(*.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 y x)))) (+.f64 y (neg.f64 x)))
(+.f64 (.f64 y (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y))))) (.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))) x)))
(+.f64 (.f64 y (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y))))) (.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))) (*.f64 x -1)))
(*.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))) (+.f64 y (neg.f64 x)))
(*.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 y x)))) (+.f64 y (neg.f64 x)))
(+.f64 (.f64 y (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y))))) (.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))) x)))
(+.f64 (.f64 y (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y))))) (.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))) (*.f64 x -1)))
(*.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))) (+.f64 y (neg.f64 x)))
(*.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 y x)))) (+.f64 y (neg.f64 x)))
(.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (neg.f64 (+.f64 y (*.f64 -1 x)))))) x))
(.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))) (.f64 x -1))
(*.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))) (neg.f64 x))
(*.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 y x)))) (neg.f64 x))
(*.f64 x (neg.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y))))))
(*.f64 x (neg.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 y x))))))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (neg.f64 (+.f64 y (.f64 -1 x)))))) x)) (.f64 y (sqrt.f64 (/.f64 1 (fabs.f64 (neg.f64 (+.f64 y (*.f64 -1 x))))))))
(+.f64 (.f64 y (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y))))) (.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))) (*.f64 x -1)))
(*.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))) (+.f64 y (neg.f64 x)))
(*.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 y x)))) (+.f64 y (neg.f64 x)))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (neg.f64 (+.f64 y (.f64 -1 x)))))) x)) (.f64 y (sqrt.f64 (/.f64 1 (fabs.f64 (neg.f64 (+.f64 y (*.f64 -1 x))))))))
(+.f64 (.f64 y (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y))))) (.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))) (*.f64 x -1)))
(*.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))) (+.f64 y (neg.f64 x)))
(*.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 y x)))) (+.f64 y (neg.f64 x)))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (neg.f64 (+.f64 y (.f64 -1 x)))))) x)) (.f64 y (sqrt.f64 (/.f64 1 (fabs.f64 (neg.f64 (+.f64 y (*.f64 -1 x))))))))
(+.f64 (.f64 y (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y))))) (.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))) (*.f64 x -1)))
(*.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))) (+.f64 y (neg.f64 x)))
(*.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 y x)))) (+.f64 y (neg.f64 x)))
(.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))) x))
(.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))) (.f64 x -1))
(*.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))) (neg.f64 x))
(*.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 y x)))) (neg.f64 x))
(*.f64 x (neg.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y))))))
(*.f64 x (neg.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 y x))))))
(+.f64 (.f64 y (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y))))) (.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))) x)))
(+.f64 (.f64 y (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y))))) (.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))) (*.f64 x -1)))
(*.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))) (+.f64 y (neg.f64 x)))
(*.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 y x)))) (+.f64 y (neg.f64 x)))
(+.f64 (.f64 y (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y))))) (.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))) x)))
(+.f64 (.f64 y (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y))))) (.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))) (*.f64 x -1)))
(*.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))) (+.f64 y (neg.f64 x)))
(*.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 y x)))) (+.f64 y (neg.f64 x)))
(+.f64 (.f64 y (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y))))) (.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))) x)))
(+.f64 (.f64 y (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y))))) (.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))) (*.f64 x -1)))
(*.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))) (+.f64 y (neg.f64 x)))
(*.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 y x)))) (+.f64 y (neg.f64 x)))
(*.f64 y (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))))
(*.f64 y (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 y x)))))
(+.f64 (.f64 y (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y))))) (.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))) x)))
(+.f64 (.f64 y (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y))))) (.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))) (*.f64 x -1)))
(*.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))) (+.f64 y (neg.f64 x)))
(*.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 y x)))) (+.f64 y (neg.f64 x)))
(+.f64 (.f64 y (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y))))) (.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))) x)))
(+.f64 (.f64 y (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y))))) (.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))) (*.f64 x -1)))
(*.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))) (+.f64 y (neg.f64 x)))
(*.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 y x)))) (+.f64 y (neg.f64 x)))
(+.f64 (.f64 y (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y))))) (.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))) x)))
(+.f64 (.f64 y (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y))))) (.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))) (*.f64 x -1)))
(*.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))) (+.f64 y (neg.f64 x)))
(*.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 y x)))) (+.f64 y (neg.f64 x)))
(.f64 y (sqrt.f64 (/.f64 1 (fabs.f64 (+.f64 (.f64 -1 y) x)))))
(*.f64 y (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))))
(*.f64 y (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 y x)))))
(+.f64 (.f64 y (sqrt.f64 (/.f64 1 (fabs.f64 (+.f64 (.f64 -1 y) x))))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (+.f64 (*.f64 -1 y) x)))) x)))
(+.f64 (.f64 y (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y))))) (.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))) (*.f64 x -1)))
(*.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))) (+.f64 y (neg.f64 x)))
(*.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 y x)))) (+.f64 y (neg.f64 x)))
(+.f64 (.f64 y (sqrt.f64 (/.f64 1 (fabs.f64 (+.f64 (.f64 -1 y) x))))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (+.f64 (*.f64 -1 y) x)))) x)))
(+.f64 (.f64 y (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y))))) (.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))) (*.f64 x -1)))
(*.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))) (+.f64 y (neg.f64 x)))
(*.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 y x)))) (+.f64 y (neg.f64 x)))
(+.f64 (.f64 y (sqrt.f64 (/.f64 1 (fabs.f64 (+.f64 (.f64 -1 y) x))))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (+.f64 (*.f64 -1 y) x)))) x)))
(+.f64 (.f64 y (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y))))) (.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))) (*.f64 x -1)))
(*.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))) (+.f64 y (neg.f64 x)))
(*.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 y x)))) (+.f64 y (neg.f64 x)))
(+.f64 (*.f64 (/.f64 1 (sqrt.f64 (fabs.f64 (-.f64 x y)))) (-.f64 y x)) 0)
(*.f64 (/.f64 1 (sqrt.f64 (fabs.f64 (-.f64 x y)))) (-.f64 y x))
(*.f64 (/.f64 1 (sqrt.f64 (fabs.f64 (-.f64 y x)))) (-.f64 y x))
(+.f64 0 (*.f64 (/.f64 1 (sqrt.f64 (fabs.f64 (-.f64 x y)))) (-.f64 y x)))
(*.f64 (/.f64 1 (sqrt.f64 (fabs.f64 (-.f64 x y)))) (-.f64 y x))
(*.f64 (/.f64 1 (sqrt.f64 (fabs.f64 (-.f64 y x)))) (-.f64 y x))
(-.f64 (*.f64 (/.f64 1 (sqrt.f64 (fabs.f64 (-.f64 x y)))) (-.f64 y x)) 0)
(*.f64 (/.f64 1 (sqrt.f64 (fabs.f64 (-.f64 x y)))) (-.f64 y x))
(*.f64 (/.f64 1 (sqrt.f64 (fabs.f64 (-.f64 y x)))) (-.f64 y x))
(-.f64 0 (neg.f64 (*.f64 (/.f64 1 (sqrt.f64 (fabs.f64 (-.f64 x y)))) (-.f64 y x))))
(*.f64 (/.f64 1 (sqrt.f64 (fabs.f64 (-.f64 x y)))) (-.f64 y x))
(*.f64 (/.f64 1 (sqrt.f64 (fabs.f64 (-.f64 y x)))) (-.f64 y x))
(-.f64 (-.f64 0 (-.f64 -1 (*.f64 (/.f64 1 (sqrt.f64 (fabs.f64 (-.f64 x y)))) (-.f64 y x)))) 1)
(*.f64 (/.f64 1 (sqrt.f64 (fabs.f64 (-.f64 x y)))) (-.f64 y x))
(*.f64 (/.f64 1 (sqrt.f64 (fabs.f64 (-.f64 y x)))) (-.f64 y x))
(/.f64 (*.f64 (/.f64 1 (sqrt.f64 (fabs.f64 (-.f64 x y)))) (-.f64 y x)) 1)
(*.f64 (/.f64 1 (sqrt.f64 (fabs.f64 (-.f64 x y)))) (-.f64 y x))
(*.f64 (/.f64 1 (sqrt.f64 (fabs.f64 (-.f64 y x)))) (-.f64 y x))
(/.f64 (.f64 (/.f64 1 (sqrt.f64 (fabs.f64 (-.f64 x y)))) (-.f64 y x)) (/.f64 (.f64 (/.f64 1 (sqrt.f64 (fabs.f64 (-.f64 x y)))) (-.f64 y x)) (*.f64 (/.f64 1 (sqrt.f64 (fabs.f64 (-.f64 x y)))) (-.f64 y x))))
(*.f64 (/.f64 1 (sqrt.f64 (fabs.f64 (-.f64 x y)))) (-.f64 y x))
(*.f64 (/.f64 1 (sqrt.f64 (fabs.f64 (-.f64 y x)))) (-.f64 y x))
(pow.f64 (*.f64 (/.f64 1 (sqrt.f64 (fabs.f64 (-.f64 x y)))) (-.f64 y x)) 1)
(*.f64 (/.f64 1 (sqrt.f64 (fabs.f64 (-.f64 x y)))) (-.f64 y x))
(*.f64 (/.f64 1 (sqrt.f64 (fabs.f64 (-.f64 y x)))) (-.f64 y x))
(neg.f64 (neg.f64 (*.f64 (/.f64 1 (sqrt.f64 (fabs.f64 (-.f64 x y)))) (-.f64 y x))))
(*.f64 (/.f64 1 (sqrt.f64 (fabs.f64 (-.f64 x y)))) (-.f64 y x))
(*.f64 (/.f64 1 (sqrt.f64 (fabs.f64 (-.f64 y x)))) (-.f64 y x))

localize48.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 y (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y))))) (.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))) x)))
✓	0.1b	(sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y))))
✓	0.2b	(*.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))) x)
✓	0.3b	(*.f64 y (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))))

Compiler

Compiled 76 to 36 computations (52.6% saved)

series79.0ms (1.3%)

Counts

4 → 36

Calls

24 calls:

Time	Variable		Point	Expression
68.0ms	x	@	inf	(*.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))) x)
1.0ms	x	@	-inf	(*.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))) x)
1.0ms	y	@	-inf	(*.f64 y (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))))
1.0ms	y	@	inf	(*.f64 y (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))))
1.0ms	y	@	0	(*.f64 y (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))))

rewrite370.0ms (6.1%)

Algorithm

1×	batch-egg-rewrite

Rules

944×	`rational.json-simplify-47`
860×	`rational.json-simplify-49`
720×	`rational.json-1`
720×	`rational.json-5`
720×	`rational.json-2`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	15	140
1	129	112
2	404	112
3	1524	112
4	5770	108

Stop Event

1×	node limit

Counts

4 → 75

Calls

Call 1

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

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

simplify552.0ms (9.1%)

Algorithm

1×	egg-herbie

Rules

1324×	`rational.json-simplify-49`
1202×	`rational.json-simplify-2`
988×	`rational.json-simplify-54`
642×	`rational.json-simplify-41`
622×	`rational.json-simplify-50`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	159	5289
1	357	4005
2	991	3637
3	3222	3133
4	7790	3133

Stop Event

1×	node limit

Counts

111 → 110

Calls

Call 1

Inputs
(.f64 y (sqrt.f64 (/.f64 1 (fabs.f64 (+.f64 (.f64 -1 y) x)))))
(.f64 y (sqrt.f64 (/.f64 1 (fabs.f64 (+.f64 (.f64 -1 y) x)))))
(.f64 y (sqrt.f64 (/.f64 1 (fabs.f64 (+.f64 (.f64 -1 y) x)))))
(.f64 y (sqrt.f64 (/.f64 1 (fabs.f64 (+.f64 (.f64 -1 y) x)))))
(.f64 y (sqrt.f64 (/.f64 1 (fabs.f64 (neg.f64 (+.f64 y (.f64 -1 x)))))))
(.f64 y (sqrt.f64 (/.f64 1 (fabs.f64 (neg.f64 (+.f64 y (.f64 -1 x)))))))
(.f64 y (sqrt.f64 (/.f64 1 (fabs.f64 (neg.f64 (+.f64 y (.f64 -1 x)))))))
(.f64 y (sqrt.f64 (/.f64 1 (fabs.f64 (neg.f64 (+.f64 y (.f64 -1 x)))))))
(.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (neg.f64 (+.f64 y (.f64 -1 x)))))) x)
(.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (neg.f64 (+.f64 y (.f64 -1 x)))))) x)
(.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (neg.f64 (+.f64 y (.f64 -1 x)))))) x)
(.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (neg.f64 (+.f64 y (.f64 -1 x)))))) x)
(.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (+.f64 (.f64 -1 y) x)))) x)
(.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (+.f64 (.f64 -1 y) x)))) x)
(.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (+.f64 (.f64 -1 y) x)))) x)
(.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (+.f64 (.f64 -1 y) x)))) x)
(sqrt.f64 (/.f64 1 (fabs.f64 (neg.f64 (+.f64 y (*.f64 -1 x))))))
(sqrt.f64 (/.f64 1 (fabs.f64 (neg.f64 (+.f64 y (*.f64 -1 x))))))
(sqrt.f64 (/.f64 1 (fabs.f64 (neg.f64 (+.f64 y (*.f64 -1 x))))))
(sqrt.f64 (/.f64 1 (fabs.f64 (neg.f64 (+.f64 y (*.f64 -1 x))))))
(sqrt.f64 (/.f64 1 (fabs.f64 (+.f64 (*.f64 -1 y) x))))
(sqrt.f64 (/.f64 1 (fabs.f64 (+.f64 (*.f64 -1 y) x))))
(sqrt.f64 (/.f64 1 (fabs.f64 (+.f64 (*.f64 -1 y) x))))
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(*.f64 y (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))))
(.f64 y (sqrt.f64 (/.f64 1 (fabs.f64 (+.f64 (.f64 -1 y) x)))))
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(*.f64 y (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))))
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(-.f64 (*.f64 y (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y))))) 0)
(-.f64 0 (neg.f64 (*.f64 y (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))))))
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(/.f64 (*.f64 y (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y))))) 1)
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(-.f64 (*.f64 x (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y))))) 0)
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(/.f64 (*.f64 x (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y))))) 1)
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(/.f64 (*.f64 x (neg.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))))) -1)
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(-.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))) 0)
(-.f64 0 (neg.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y))))))
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(*.f64 1 (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))))
(*.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))) 1)
(*.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))) (/.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))) (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y))))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))) (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y))))) (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y))))) -1)
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(/.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))) 1)
(/.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))) (/.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))) (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y))))))
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(-.f64 (.f64 y (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y))))) (.f64 x (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y))))))
(-.f64 (.f64 x (neg.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))))) (neg.f64 (.f64 y (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))))))
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(-.f64 0 (*.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))) (-.f64 x y)))
(-.f64 0 (+.f64 (.f64 x (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y))))) (neg.f64 (.f64 y (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y))))))))
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(-.f64 (-.f64 0 (-.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))) (-.f64 y x)))) 1)
(-.f64 (-.f64 (.f64 y (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y))))) (-.f64 (.f64 x (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y))))) 1)) 1)
(.f64 1 (.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))) (-.f64 y x)))
(*.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))) (-.f64 y x))
(*.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))) (+.f64 y (neg.f64 x)))
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(*.f64 (+.f64 y (neg.f64 x)) (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))))
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Outputs
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(*.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (neg.f64 (+.f64 y (neg.f64 x)))))) (+.f64 y (neg.f64 x)))
(*.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (+.f64 y (neg.f64 x))))) (+.f64 y (neg.f64 x)))
(*.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 y x)))) (-.f64 y x))
(pow.f64 (*.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))) (-.f64 y x)) 1)
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(*.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (+.f64 y (neg.f64 x))))) (+.f64 y (neg.f64 x)))
(*.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 y x)))) (-.f64 y x))
(neg.f64 (*.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))) (-.f64 x y)))
(+.f64 (.f64 y (sqrt.f64 (/.f64 1 (fabs.f64 (neg.f64 (+.f64 y (neg.f64 x))))))) (.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (neg.f64 (+.f64 y (neg.f64 x)))))) (neg.f64 x)))
(*.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (neg.f64 (+.f64 y (neg.f64 x)))))) (+.f64 y (neg.f64 x)))
(*.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (+.f64 y (neg.f64 x))))) (+.f64 y (neg.f64 x)))
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eval393.0ms (6.5%)

Compiler: Compiled 5423 to 2725 computations (49.8% saved)

prune57.0ms (1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	207	2	209
Fresh	0	0	0
Picked	1	0	1
Done	1	1	2
Total	209	3	212

Error

Counts

212 → 3

Alt Table

Click to see full alt table

Status

Error

Program

▶

0.3b

(-.f64 (*.f64 y (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y))))) (*.f64 x (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y))))))

▶

0.5b

(*.f64 (/.f64 1 (sqrt.f64 (fabs.f64 (-.f64 y x)))) (-.f64 y x))

✓

0.0b

(sqrt.f64 (fabs.f64 (-.f64 x y)))

Compiler

Compiled 41 to 26 computations (36.6% saved)

localize25.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (fabs.f64 (-.f64 y x)))
✓	0.2b	(*.f64 (/.f64 1 (sqrt.f64 (fabs.f64 (-.f64 y x)))) (-.f64 y x))
✓	0.3b	(/.f64 1 (sqrt.f64 (fabs.f64 (-.f64 y x))))

Compiler

Compiled 35 to 11 computations (68.6% saved)

series18.0ms (0.3%)

Counts

3 → 56

Calls

18 calls:

Time	Variable		Point	Expression
6.0ms	x	@	0	(*.f64 (/.f64 1 (sqrt.f64 (fabs.f64 (-.f64 y x)))) (-.f64 y x))
1.0ms	y	@	-inf	(/.f64 1 (sqrt.f64 (fabs.f64 (-.f64 y x))))
1.0ms	x	@	-inf	(/.f64 1 (sqrt.f64 (fabs.f64 (-.f64 y x))))
1.0ms	y	@	-inf	(*.f64 (/.f64 1 (sqrt.f64 (fabs.f64 (-.f64 y x)))) (-.f64 y x))
1.0ms	y	@	inf	(/.f64 1 (sqrt.f64 (fabs.f64 (-.f64 y x))))

rewrite119.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

2022×	`rational.json-5`
2020×	`rational.json-1`
2020×	`rational.json-2`
2020×	`rational.json-4`
2020×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	69
1	93	69
2	294	69
3	1117	69
4	4268	69

Stop Event

1×	node limit

Counts

3 → 30

Calls

Call 1

Inputs
(/.f64 1 (sqrt.f64 (fabs.f64 (-.f64 y x))))
(*.f64 (/.f64 1 (sqrt.f64 (fabs.f64 (-.f64 y x)))) (-.f64 y x))
(sqrt.f64 (fabs.f64 (-.f64 y x)))

Outputs

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

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

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

simplify254.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

896×	`rational.json-simplify-41`
886×	`rational.json-simplify-47`
826×	`rational.json-simplify-111`
792×	`rational.json-simplify-2`
792×	`rational.json-simplify-58`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	86	2808
1	162	2256
2	353	2172
3	1189	2172
4	4033	2088
5	6739	2088

Stop Event

1×	node limit

Counts

86 → 52

Calls

Call 1

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

Outputs
(sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 y x))))
(sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 y x))))
(sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 y x))))
(sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 y x))))
(sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 y x))))
(sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 y x))))
(sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 y x))))
(sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 y x))))
(sqrt.f64 (/.f64 1 (fabs.f64 (neg.f64 (+.f64 (*.f64 -1 y) x)))))
(sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 y x))))
(sqrt.f64 (/.f64 1 (fabs.f64 (neg.f64 (+.f64 (*.f64 -1 y) x)))))
(sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 y x))))
(sqrt.f64 (/.f64 1 (fabs.f64 (neg.f64 (+.f64 (*.f64 -1 y) x)))))
(sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 y x))))
(sqrt.f64 (/.f64 1 (fabs.f64 (neg.f64 (+.f64 (*.f64 -1 y) x)))))
(sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 y x))))
(sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 y x))))
(sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 y x))))
(sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 y x))))
(sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 y x))))
(sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 y x))))
(sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 y x))))
(sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 y x))))
(sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 y x))))
(sqrt.f64 (/.f64 1 (fabs.f64 (+.f64 y (*.f64 -1 x)))))
(sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 y x))))
(sqrt.f64 (/.f64 1 (fabs.f64 (+.f64 y (*.f64 -1 x)))))
(sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 y x))))
(sqrt.f64 (/.f64 1 (fabs.f64 (+.f64 y (*.f64 -1 x)))))
(sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 y x))))
(sqrt.f64 (/.f64 1 (fabs.f64 (+.f64 y (*.f64 -1 x)))))
(sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 y x))))
(.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 y x)))) x))
(.f64 -1 (.f64 x (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 y x))))))
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(sqrt.f64 (fabs.f64 (+.f64 x (neg.f64 y))))
(sqrt.f64 (fabs.f64 (-.f64 y x)))
(pow.f64 (sqrt.f64 (fabs.f64 (-.f64 y x))) 1)
(sqrt.f64 (fabs.f64 (neg.f64 (+.f64 x (*.f64 y -1)))))
(sqrt.f64 (fabs.f64 (neg.f64 (+.f64 x (neg.f64 y)))))
(sqrt.f64 (fabs.f64 (+.f64 x (neg.f64 y))))
(sqrt.f64 (fabs.f64 (-.f64 y x)))

localize189.0ms (3.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 y (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y))))) (.f64 x (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y))))))
	0.1b	(sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y))))
✓	0.2b	(*.f64 x (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))))
	0.3b	(*.f64 y (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))))

Compiler

Compiled 62 to 27 computations (56.5% saved)

series3.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite159.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

820×	`rational.json-simplify-47`
784×	`rational.json-simplify-54`
654×	`rational.json-5`
652×	`exponential.json-3`
652×	`rational.json-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	86
1	110	60
2	349	60
3	1339	60
4	5144	60

Stop Event

1×	node limit

Counts

2 → 36

Calls

Call 1

Inputs
(*.f64 x (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))))
(-.f64 (.f64 y (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y))))) (.f64 x (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y))))))

Outputs

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

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

simplify337.0ms (5.6%)

Algorithm

1×	egg-herbie

Rules

888×	`rational.json-simplify-1`
888×	`rational.json-simplify-49`
876×	`rational.json-simplify-47`
840×	`rational.json-simplify-54`
778×	`rational.json-simplify-2`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	102	3900
1	216	2730
2	470	2730
3	1173	2730
4	2861	2550
5	6420	2550

Stop Event

1×	node limit

Counts

84 → 52

Calls

Call 1

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

Outputs
(*.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))) x)
(*.f64 x (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))))
(*.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))) x)
(*.f64 x (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))))
(*.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))) x)
(*.f64 x (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))))
(*.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))) x)
(*.f64 x (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))))
(*.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))) x)
(*.f64 x (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))))
(*.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))) x)
(*.f64 x (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))))
(*.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))) x)
(*.f64 x (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))))
(*.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))) x)
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(*.f64 x (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))))
(.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (neg.f64 (+.f64 y (.f64 -1 x)))))) x)
(*.f64 x (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))))
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(*.f64 x (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))))
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(*.f64 x (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))))
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(*.f64 x (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))))
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(*.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))) (+.f64 y (neg.f64 x)))
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(*.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))) (+.f64 y (neg.f64 x)))
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(*.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))) (+.f64 y (neg.f64 x)))
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(.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))) x))
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(*.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))) (-.f64 y x))

eval407.0ms (6.7%)

Compiler: Compiled 4476 to 2217 computations (50.5% saved)

prune29.0ms (0.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	176	0	176
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	176	3	179

Error

Counts

179 → 3

Alt Table

Click to see full alt table

Status

Error

Program

✓

0.3b

(-.f64 (*.f64 y (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y))))) (*.f64 x (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y))))))

✓

0.5b

(*.f64 (/.f64 1 (sqrt.f64 (fabs.f64 (-.f64 y x)))) (-.f64 y x))

✓

0.0b

(sqrt.f64 (fabs.f64 (-.f64 x y)))

Compiler

Compiled 41 to 26 computations (36.6% saved)

regimes76.0ms (1.3%)

Accuracy

Total -31.6b remaining (-404041.6%)

Threshold costs -31.6b (-404041.6%)

Counts

6 → 1

Calls

Call 1

Inputs
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(*.f64 (/.f64 1 (sqrt.f64 (fabs.f64 (-.f64 y x)))) (-.f64 y x))
(*.f64 (/.f64 1 (sqrt.f64 (fabs.f64 (-.f64 x y)))) (+.f64 (neg.f64 x) y))
(.f64 (/.f64 1 (sqrt.f64 (fabs.f64 (-.f64 x y)))) (sqrt.f64 (.f64 (-.f64 y x) (-.f64 y x))))
(-.f64 (.f64 y (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y))))) (.f64 x (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y))))))
(+.f64 (.f64 y (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y))))) (.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (fabs.f64 (-.f64 x y)))) x)))

Outputs
(sqrt.f64 (fabs.f64 (-.f64 x y)))

Calls

5 calls:

52.0ms	(-.f64 x y)
7.0ms	x
5.0ms	(fabs.f64 (-.f64 x y))
5.0ms	(sqrt.f64 (fabs.f64 (-.f64 x y)))
5.0ms	y

Results

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

Compiler

Compiled 110 to 57 computations (48.2% saved)

simplify1.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(sqrt.f64 (fabs.f64 (-.f64 x y)))

Outputs
(sqrt.f64 (fabs.f64 (-.f64 x y)))

Compiler

Compiled 7 to 5 computations (28.6% saved)

soundness0.0ms (0%)

end14.0ms (0.2%)

Remove: (sort x y)
Compiler: Compiled 21 to 15 computations (28.6% saved)

Details

analyze92.0ms (1.5%)

sample1.1s (18.7%)

preprocess29.0ms (0.5%)

simplify23.0ms (0.4%)

eval1.0ms (0%)

prune1.0ms (0%)

localize11.0ms (0.2%)

series3.0ms (0%)

rewrite115.0ms (1.9%)

simplify154.0ms (2.5%)

eval6.0ms (0.1%)

prune6.0ms (0.1%)

localize30.0ms (0.5%)

series15.0ms (0.2%)

rewrite180.0ms (3%)

simplify229.0ms (3.8%)

eval222.0ms (3.7%)

prune65.0ms (1.1%)

localize29.0ms (0.5%)

series4.0ms (0.1%)

rewrite211.0ms (3.5%)

simplify358.0ms (5.9%)

localize48.0ms (0.8%)

series79.0ms (1.3%)

rewrite370.0ms (6.1%)

simplify552.0ms (9.1%)

eval393.0ms (6.5%)

prune57.0ms (1%)

localize25.0ms (0.4%)

series18.0ms (0.3%)

rewrite119.0ms (2%)

simplify254.0ms (4.2%)

localize189.0ms (3.1%)

series3.0ms (0.1%)

rewrite159.0ms (2.6%)

simplify337.0ms (5.6%)

eval407.0ms (6.7%)

prune29.0ms (0.5%)

regimes76.0ms (1.3%)

simplify1.0ms (0%)

soundness0.0ms (0%)

end14.0ms (0.2%)

Profiling