Metrics for Linear.Projection:inversePerspective from linear-1.19.1.3, B

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze44.0ms (0.9%)

Memory

-9.8MiB live, 34.0MiB allocated; 8ms collecting garbage

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
25%	25%	74.9%	0.1%	0%	0%	0%	3
37.5%	37.5%	62.4%	0.1%	0%	0%	0%	4
56.3%	56.2%	43.7%	0.1%	0%	0%	0%	5
65.6%	65.6%	34.3%	0.1%	0%	0%	0%	6
76.6%	76.5%	23.4%	0.1%	0%	0%	0%	7
82%	82%	18%	0.1%	0%	0%	0%	8
87.9%	87.8%	12.1%	0.1%	0%	0%	0%	9
90.8%	90.7%	9.2%	0.1%	0%	0%	0%	10
93.8%	93.8%	6.1%	0.1%	0%	0%	0%	11
95.4%	95.3%	4.6%	0.1%	0%	0%	0%	12

Compiler

Compiled 11 to 9 computations (18.2% saved)

sample1.1s (22.1%)

Memory

29.1MiB live, 1 255.5MiB allocated; 254ms collecting garbage

Samples

757.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 322.0ms

ival-mult: 146.0ms (45.3% of total)

ival-sub: 109.0ms (33.9% of total)

ival-div: 50.0ms (15.5% of total)

ival-true: 6.0ms (1.9% of total)

exact: 5.0ms (1.6% of total)

ival-assert: 3.0ms (0.9% of total)

adjust: 2.0ms (0.6% of total)

Bogosity

explain235.0ms (4.6%)

Memory

-30.7MiB live, 192.9MiB allocated; 88ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
64	-	2	(4.371666834367014e-304 -2.564450725774742e-11)	`(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`
1	-	0	-	`(.f64 (.f64 x #s(literal 2 binary64)) y)`
0	-	0	-	`(*.f64 x #s(literal 2 binary64))`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`y`
0	-	0	-	`(-.f64 x y)`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`	n/o	36	0
↳	`(*.f64 x #s(literal 2 binary64))`	overflow	1
↳	`(.f64 (.f64 x #s(literal 2 binary64)) y)`	overflow	36
`/.f64`	`(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`	n/u	26	0
↳	`(.f64 (.f64 x #s(literal 2 binary64)) y)`	underflow	26
`*.f64`	`(.f64 (.f64 x #s(literal 2 binary64)) y)`	*no**	1	0

Confusion

	Predicted +	Predicted -
+	63	2
-	0	191

Precision

1.0

Recall

0.9692307692307692

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	63	0	2
-	0	0	191

Precision?

1.0

Recall?

0.9692307692307692

Freqs

test

number	freq
0	193
1	63

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

138.0ms

512×

valid

Compiler

Compiled 59 to 25 computations (57.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 124.0ms

ival-mult: 80.0ms (64.6% of total)

ival-sub: 39.0ms (31.5% of total)

ival-div: 3.0ms (2.4% of total)

ival-true: 0.0ms (0% of total)

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

preprocess58.0ms (1.1%)

Memory

0.9MiB live, 91.3MiB allocated; 10ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	53
1	59	49
2	216	37
3	719	35
4	1099	35
5	1185	35
6	1263	35
7	1435	35
8	1539	35
9	1619	35
10	1623	35
11	1623	35
0	7	9
0	11	9
1	22	9
2	53	7
3	107	7
4	124	7
5	137	7
6	161	7
7	279	7
8	609	7
9	820	7
10	947	7
11	1033	7
12	1059	7
0	1059	7

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))

Outputs
(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))
(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 9 to 7 computations (22.2% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	76.4%	(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify27.0ms (0.5%)

Memory

-5.2MiB live, 46.8MiB allocated; 9ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x #s(literal 2 binary64))
cost-diff	0	(.f64 (.f64 x #s(literal 2 binary64)) y)
cost-diff	0	(-.f64 x y)
cost-diff	2	(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	7	23
0	11	23
1	22	23
2	53	21
3	107	21
4	124	21
5	137	21
6	161	21
7	279	21
8	609	21
9	820	21
10	947	21
11	1033	21
12	1059	21
0	1059	21

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))
(-.f64 x y)
x
y
(.f64 (.f64 x #s(literal 2 binary64)) y)
(*.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)

Outputs
(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))
(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(-.f64 x y)
x
y
(.f64 (.f64 x #s(literal 2 binary64)) y)
(.f64 (.f64 #s(literal 2 binary64) x) y)
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)

localize22.0ms (0.4%)

Memory

19.8MiB live, 63.6MiB allocated; 4ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 x y)
accuracy	0.0	(*.f64 x #s(literal 2 binary64))
accuracy	0.24162567451290762	(.f64 (.f64 x #s(literal 2 binary64)) y)
accuracy	14.885304210884751	(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))

Samples

17.0ms

256×

valid

Compiler

Compiled 25 to 9 computations (64% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-mult: 3.0ms (38.9% of total)

ival-sub: 2.0ms (25.9% of total)

ival-div: 2.0ms (25.9% of total)

ival-true: 0.0ms (0% of total)

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series23.0ms (0.5%)

Memory

-16.4MiB live, 26.8MiB allocated; 8ms collecting garbage

Counts

4 → 15

Calls

Call 1

Inputs
(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))
(-.f64 x y)
(.f64 (.f64 x #s(literal 2 binary64)) y)
(*.f64 x #s(literal 2 binary64))

Outputs
(/ -1/2 x)
(/ (- (* 1/2 (/ x y)) 1/2) x)
(* -1 y)
(- x y)
(* 2 (* x y))
(* 2 x)
(/ 1/2 y)
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
x
(* x (+ 1 (* -1 (/ y x))))
(* -1 (* x (- (/ y x) 1)))
(/ (+ 1/2 (* -1/2 (/ y x))) y)
(+ x (* -1 y))
(* y (- (/ x y) 1))
(* -1 (* y (+ 1 (* -1 (/ x y)))))

Calls

6 calls:

Time	Variable		Point	Expression
15.0ms	x	@	inf	((/ (- x y) (* (* x 2) y)) (- x y) (* (* x 2) y) (* x 2))
2.0ms	y	@	-inf	((/ (- x y) (* (* x 2) y)) (- x y) (* (* x 2) y) (* x 2))
2.0ms	x	@	-inf	((/ (- x y) (* (* x 2) y)) (- x y) (* (* x 2) y) (* x 2))
1.0ms	x	@	0	((/ (- x y) (* (* x 2) y)) (- x y) (* (* x 2) y) (* x 2))
1.0ms	y	@	inf	((/ (- x y) (* (* x 2) y)) (- x y) (* (* x 2) y) (* x 2))

simplify150.0ms (2.9%)

Memory

22.3MiB live, 197.9MiB allocated; 61ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	40	62
1	114	62
2	279	62
3	703	56
4	2198	56
5	4139	56
6	5596	56
7	6210	56
0	8077	56

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 14

Calls

Call 1

Inputs
(/ -1/2 x)
(/ (- (* 1/2 (/ x y)) 1/2) x)
(* -1 y)
(- x y)
(* 2 (* x y))
(* 2 x)
(/ 1/2 y)
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
x
(* x (+ 1 (* -1 (/ y x))))
(* -1 (* x (- (/ y x) 1)))
(/ (+ 1/2 (* -1/2 (/ y x))) y)
(+ x (* -1 y))
(* y (- (/ x y) 1))
(* -1 (* y (+ 1 (* -1 (/ x y)))))

Outputs
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ (- (* 1/2 (/ x y)) 1/2) x)
(-.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))
(* -1 y)
(neg.f64 y)
(- x y)
(-.f64 x y)
(* 2 (* x y))
(.f64 (.f64 y x) #s(literal 2 binary64))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(-.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))
x
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
(/ (+ 1/2 (* -1/2 (/ y x))) y)
(-.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))
(+ x (* -1 y))
(-.f64 x y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)

rewrite218.0ms (4.3%)

Memory

3.1MiB live, 239.4MiB allocated; 55ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	7	20
0	11	20
1	38	20
2	216	18
3	2250	18
0	8389	18

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

4 → 420

Calls

Call 1

Inputs
(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))
(-.f64 x y)
(.f64 (.f64 x #s(literal 2 binary64)) y)
(*.f64 x #s(literal 2 binary64))

Outputs
(*.f64 (/.f64 (+.f64 y x) (+.f64 y x)) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)))
(.f64 (/.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) (fma.f64 (+.f64 y x) y (*.f64 x x))) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)))
(.f64 (+.f64 y x) (/.f64 (-.f64 x y) (.f64 (.f64 (+.f64 y x) #s(literal 2 binary64)) (.f64 y x))))
(.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) (/.f64 (-.f64 x y) (.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) (.f64 (.f64 #s(literal 2 binary64) x) y))))
(/.f64 (neg.f64 (/.f64 (/.f64 (-.f64 x y) y) #s(literal 2 binary64))) (neg.f64 x))
(/.f64 (neg.f64 (/.f64 (/.f64 (-.f64 x y) y) x)) #s(literal -2 binary64))
(/.f64 (neg.f64 (/.f64 (/.f64 (-.f64 x y) x) y)) #s(literal -2 binary64))
(/.f64 (neg.f64 (/.f64 (fma.f64 (.f64 x (.f64 y x)) #s(literal 2 binary64) (.f64 (.f64 #s(literal -2 binary64) (.f64 y x)) y)) (.f64 (.f64 #s(literal 2 binary64) x) y))) (.f64 #s(literal -2 binary64) (*.f64 y x)))
(/.f64 (neg.f64 (/.f64 (-.f64 x y) (*.f64 #s(literal -2 binary64) y))) (neg.f64 x))
(/.f64 (neg.f64 (/.f64 (-.f64 x y) (*.f64 y x))) #s(literal -2 binary64))
(/.f64 (neg.f64 (neg.f64 (/.f64 (-.f64 x y) y))) (neg.f64 (*.f64 #s(literal -2 binary64) x)))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -3 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x (.f64 y x)) #s(literal 2 binary64) (.f64 (.f64 #s(literal -2 binary64) (.f64 y x)) y)))) (neg.f64 (neg.f64 (pow.f64 (.f64 (*.f64 #s(literal 2 binary64) x) y) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (/.f64 (-.f64 x y) x))) (neg.f64 (*.f64 #s(literal -2 binary64) y)))
(/.f64 (neg.f64 (-.f64 (.f64 (/.f64 x y) (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)))) (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (.f64 (/.f64 x y) (.f64 #s(literal 2 binary64) y)) (.f64 (.f64 #s(literal 2 binary64) x) (/.f64 y x)))) (neg.f64 (.f64 (.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) y))))
(/.f64 (neg.f64 (-.f64 (.f64 (/.f64 x y) y) (.f64 (.f64 #s(literal 2 binary64) x) (/.f64 y (.f64 #s(literal 2 binary64) x))))) (.f64 #s(literal -2 binary64) (.f64 y x)))
(/.f64 (neg.f64 (-.f64 (.f64 (/.f64 x y) (.f64 #s(literal -2 binary64) (.f64 y x))) (.f64 #s(literal -2 binary64) (.f64 y x)))) (neg.f64 (.f64 (.f64 #s(literal 2 binary64) x) (.f64 #s(literal -2 binary64) (*.f64 y x)))))
(/.f64 (neg.f64 (-.f64 (.f64 (/.f64 x y) (.f64 (.f64 #s(literal 2 binary64) x) y)) (.f64 (.f64 #s(literal 2 binary64) x) y))) (neg.f64 (.f64 (.f64 #s(literal 2 binary64) x) (.f64 (*.f64 #s(literal 2 binary64) x) y))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 #s(literal 2 binary64) y) #s(literal 1 binary64)))) (neg.f64 (.f64 (.f64 #s(literal 2 binary64) y) (*.f64 #s(literal 2 binary64) x))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) y)) (.f64 (.f64 #s(literal 2 binary64) y) (/.f64 y x)))) (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 1 binary64) y) (.f64 (.f64 #s(literal 2 binary64) y) (/.f64 y (.f64 #s(literal 2 binary64) x))))) (neg.f64 (.f64 (.f64 #s(literal 2 binary64) y) y)))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (.f64 y x))) (.f64 (.f64 #s(literal 2 binary64) y) (neg.f64 y)))) (neg.f64 (.f64 (.f64 #s(literal 2 binary64) y) (.f64 #s(literal -2 binary64) (*.f64 y x)))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 2 binary64) x) y)) (.f64 (.f64 #s(literal 2 binary64) y) y))) (neg.f64 (.f64 (.f64 #s(literal 2 binary64) y) (.f64 (*.f64 #s(literal 2 binary64) x) y))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) x)) (.f64 y #s(literal 1 binary64)))) (.f64 #s(literal -2 binary64) (*.f64 y x)))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) y)) (.f64 y (/.f64 y x)))) (neg.f64 (.f64 y (*.f64 #s(literal 2 binary64) y))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 y (/.f64 y (.f64 #s(literal 2 binary64) x))))) (.f64 (neg.f64 y) y))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 #s(literal -2 binary64) (.f64 y x))) (.f64 (neg.f64 y) y))) (neg.f64 (.f64 y (.f64 #s(literal -2 binary64) (*.f64 y x)))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 #s(literal 2 binary64) x) y)) (.f64 y y))) (neg.f64 (.f64 (.f64 (*.f64 #s(literal 2 binary64) x) y) y)))
(/.f64 (neg.f64 (-.f64 (.f64 (neg.f64 x) (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 #s(literal -2 binary64) (.f64 y x)) #s(literal 1 binary64)))) (neg.f64 (.f64 (.f64 #s(literal -2 binary64) (.f64 y x)) (*.f64 #s(literal 2 binary64) x))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal -2 binary64) (.f64 y x)) (.f64 (.f64 #s(literal -2 binary64) (.f64 y x)) (/.f64 y x)))) (neg.f64 (.f64 (.f64 #s(literal -2 binary64) (.f64 y x)) (*.f64 #s(literal 2 binary64) y))))
(/.f64 (neg.f64 (-.f64 (.f64 (neg.f64 x) y) (.f64 (.f64 #s(literal -2 binary64) (.f64 y x)) (/.f64 y (.f64 #s(literal 2 binary64) x))))) (neg.f64 (.f64 (.f64 #s(literal -2 binary64) (.f64 y x)) y)))
(/.f64 (neg.f64 (-.f64 (.f64 (neg.f64 x) (.f64 #s(literal -2 binary64) (.f64 y x))) (.f64 (.f64 #s(literal -2 binary64) (.f64 y x)) (neg.f64 y)))) (neg.f64 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) x) y) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (.f64 (neg.f64 x) (.f64 (.f64 #s(literal 2 binary64) x) y)) (.f64 (.f64 #s(literal -2 binary64) (.f64 y x)) y))) (neg.f64 (.f64 (.f64 #s(literal -2 binary64) (.f64 y x)) (.f64 (*.f64 #s(literal 2 binary64) x) y))))
(/.f64 (neg.f64 (-.f64 (.f64 x (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 #s(literal 2 binary64) x) y) #s(literal 1 binary64)))) (neg.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) x) y) (*.f64 #s(literal 2 binary64) x))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) x) y) (.f64 (.f64 (.f64 #s(literal 2 binary64) x) y) (/.f64 y x)))) (neg.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) x) y) (*.f64 #s(literal 2 binary64) y))))
(/.f64 (neg.f64 (-.f64 (.f64 y x) (.f64 (.f64 (.f64 #s(literal 2 binary64) x) y) (/.f64 y (.f64 #s(literal 2 binary64) x))))) (neg.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) x) y) y)))
(/.f64 (neg.f64 (-.f64 (.f64 x (.f64 #s(literal -2 binary64) (.f64 y x))) (.f64 (.f64 (.f64 #s(literal 2 binary64) x) y) (neg.f64 y)))) (neg.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) x) y) (.f64 #s(literal -2 binary64) (*.f64 y x)))))
(/.f64 (neg.f64 (-.f64 (neg.f64 x) (neg.f64 y))) (.f64 (.f64 #s(literal 2 binary64) x) y))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -3 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)))))
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(-.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))))))) (/.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))))))))
(-.f64 (/.f64 (.f64 (.f64 x x) (+.f64 y x)) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (/.f64 (.f64 (+.f64 y x) (.f64 y y)) (pow.f64 (+.f64 y x) #s(literal 2 binary64))))
(-.f64 (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))) (pow.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) #s(literal 2 binary64))) (/.f64 (.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (fma.f64 y y (.f64 x x)) (+.f64 y x))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (fma.f64 y y (.f64 x x)) (+.f64 y x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (fma.f64 (.f64 y y) (fma.f64 y y (.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (+.f64 y x))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (.f64 (fma.f64 (.f64 y y) (fma.f64 y y (.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (+.f64 y x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (+.f64 y x) y (.f64 x x)))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (+.f64 y x) y (.f64 x x)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (+.f64 y x) y (.f64 x x)))) (/.f64 (pow.f64 y #s(literal 9 binary64)) (.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (+.f64 y x) y (.f64 x x)))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 y y (.f64 x x))) (+.f64 y x)) (/.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y (.f64 x x))) (+.f64 y x)))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 y y) (fma.f64 y y (.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 y x)) (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (.f64 y y) (fma.f64 y y (.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 y x)))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 (+.f64 y x) y (.f64 x x))))) (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 (+.f64 y x) y (.f64 x x))))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (neg.f64 (fma.f64 (+.f64 y x) y (.f64 x x))))) (/.f64 (/.f64 (pow.f64 y #s(literal 9 binary64)) (+.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (neg.f64 (fma.f64 (+.f64 y x) y (.f64 x x))))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (+.f64 y x) y (.f64 x x))) (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (+.f64 y x) y (.f64 x x))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (+.f64 y x) y (.f64 x x))) (/.f64 (/.f64 (pow.f64 y #s(literal 9 binary64)) (+.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (+.f64 y x) y (.f64 x x))))
(-.f64 (.f64 x (/.f64 x (+.f64 y x))) (/.f64 (.f64 (neg.f64 (neg.f64 y)) y) (+.f64 y x)))
(-.f64 (.f64 x (/.f64 x (+.f64 y x))) (.f64 y (/.f64 y (+.f64 y x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))))
(-.f64 x y)
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (fma.f64 (+.f64 y x) y (.f64 x x))))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (fma.f64 (+.f64 y x) y (.f64 x x))))))
(+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (fma.f64 y y (.f64 x x)) (+.f64 y x))) (/.f64 (.f64 (.f64 (neg.f64 y) y) (.f64 y y)) (.f64 (fma.f64 y y (*.f64 x x)) (+.f64 y x))))
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (fma.f64 (.f64 y y) (fma.f64 y y (.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (+.f64 y x))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (.f64 (fma.f64 (.f64 y y) (fma.f64 y y (.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (+.f64 y x))))
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (+.f64 y x) y (.f64 x x)))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (+.f64 y x) y (.f64 x x)))))
(+.f64 (.f64 y (/.f64 y (+.f64 y x))) (.f64 x (/.f64 x (+.f64 y x))))
(+.f64 (.f64 x (/.f64 x (+.f64 y x))) (/.f64 (.f64 (neg.f64 (neg.f64 y)) (neg.f64 y)) (+.f64 y x)))
(+.f64 (.f64 x (/.f64 x (+.f64 y x))) (.f64 y (/.f64 y (+.f64 y x))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))) (/.f64 (.f64 (neg.f64 (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 y #s(literal 3/2 binary64))) (neg.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))) (/.f64 (.f64 (.f64 (neg.f64 y) y) y) (neg.f64 (fma.f64 (+.f64 y x) y (.f64 x x)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))) (/.f64 (.f64 (neg.f64 (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 y #s(literal 3/2 binary64))) (neg.f64 (neg.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))) (/.f64 (.f64 (.f64 (neg.f64 y) y) y) (neg.f64 (neg.f64 (fma.f64 (+.f64 y x) y (.f64 x x))))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))) (/.f64 (.f64 (neg.f64 (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 y #s(literal 3/2 binary64))) (fma.f64 (+.f64 y x) y (*.f64 x x))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))) (/.f64 (.f64 (.f64 (neg.f64 y) y) y) (fma.f64 (+.f64 y x) y (.f64 x x))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))))
(.f64 (fabs.f64 (.f64 #s(literal -2 binary64) x)) y)
(.f64 (fabs.f64 (neg.f64 (.f64 #s(literal -2 binary64) x))) y)
(.f64 (fabs.f64 (.f64 #s(literal 2 binary64) x)) y)
(.f64 (fabs.f64 (.f64 #s(literal 2 binary64) y)) x)
(.f64 (neg.f64 (.f64 #s(literal -2 binary64) x)) y)
(.f64 (neg.f64 (neg.f64 y)) (.f64 #s(literal 2 binary64) x))
(.f64 (neg.f64 (neg.f64 x)) (.f64 #s(literal 2 binary64) y))
(.f64 (.f64 #s(literal -2 binary64) x) (neg.f64 y))
(.f64 (neg.f64 x) (.f64 #s(literal -2 binary64) y))
(.f64 (neg.f64 y) (.f64 #s(literal -2 binary64) x))
(.f64 (.f64 #s(literal 2 binary64) y) x)
(.f64 (.f64 y x) #s(literal 2 binary64))
(.f64 (.f64 #s(literal 2 binary64) x) (neg.f64 (neg.f64 y)))
(.f64 (.f64 #s(literal 2 binary64) x) y)
(.f64 #s(literal 2 binary64) (.f64 y x))
(.f64 y (fabs.f64 (.f64 #s(literal -2 binary64) x)))
(.f64 y (fabs.f64 (neg.f64 (.f64 #s(literal -2 binary64) x))))
(.f64 y (fabs.f64 (.f64 #s(literal 2 binary64) x)))
(.f64 y (neg.f64 (.f64 #s(literal -2 binary64) x)))
(.f64 y (.f64 #s(literal 2 binary64) x))
(.f64 x (fabs.f64 (.f64 #s(literal -2 binary64) y)))
(.f64 x (fabs.f64 (neg.f64 (.f64 #s(literal -2 binary64) y))))
(.f64 x (fabs.f64 (.f64 #s(literal 2 binary64) y)))
(.f64 x (neg.f64 (.f64 #s(literal -2 binary64) y)))
(.f64 x (.f64 #s(literal 2 binary64) y))
(neg.f64 (.f64 #s(literal -2 binary64) (.f64 y x)))
(fma.f64 y x (*.f64 y x))
(fma.f64 x y (*.f64 y x))
(sqrt.f64 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) x) y) #s(literal 2 binary64)))
(fabs.f64 (.f64 #s(literal -2 binary64) (.f64 y x)))
(fabs.f64 (.f64 (.f64 #s(literal 2 binary64) x) y))
(+.f64 (.f64 y x) (.f64 y x))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (.f64 x x))) (neg.f64 (-.f64 x x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (.f64 x x) (.f64 x x)))))
(/.f64 (-.f64 (.f64 x x) (.f64 x x)) (-.f64 x x))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 x x) (.f64 x x))))
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 (neg.f64 x))) x)
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) x)
(-.f64 (/.f64 (.f64 x x) (-.f64 x x)) (/.f64 (.f64 x x) (-.f64 x x)))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 (.f64 x x) (.f64 x x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 (.f64 x x) (.f64 x x)))))
(+.f64 x x)

eval93.0ms (1.8%)

Memory: 13.9MiB live, 111.4MiB allocated; 61ms collecting garbage
Compiler: Compiled 12 062 to 1 289 computations (89.3% saved)

prune13.0ms (0.2%)

Memory

-0.6MiB live, 40.6MiB allocated; 7ms collecting garbage

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	422	5	427
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	423	5	428

Accuracy

100.0%

Counts

428 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	76.4%	(/.f64 (-.f64 x y) (*.f64 (+.f64 x x) y))
▶	87.3%	(-.f64 (/.f64 (/.f64 (.f64 x (/.f64 x (+.f64 y x))) (.f64 #s(literal 2 binary64) x)) y) (/.f64 (/.f64 (.f64 y (/.f64 y (+.f64 y x))) (.f64 #s(literal 2 binary64) x)) y))
▶	100.0%	(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
▶	49.9%	#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
▶	50.5%	#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))

Compiler

Compiled 138 to 92 computations (33.3% saved)

simplify95.0ms (1.9%)

Memory

-19.6MiB live, 182.1MiB allocated; 13ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (/.f64 (.f64 x (/.f64 x (+.f64 y x))) (.f64 #s(literal 2 binary64) x)) y)
cost-diff	4	(/.f64 (/.f64 (.f64 y (/.f64 y (+.f64 y x))) (.f64 #s(literal 2 binary64) x)) y)
cost-diff	4	(/.f64 (.f64 x (/.f64 x (+.f64 y x))) (.f64 #s(literal 2 binary64) x))
cost-diff	6	(-.f64 (/.f64 (/.f64 (.f64 x (/.f64 x (+.f64 y x))) (.f64 #s(literal 2 binary64) x)) y) (/.f64 (/.f64 (.f64 y (/.f64 y (+.f64 y x))) (.f64 #s(literal 2 binary64) x)) y))
cost-diff	0	(+.f64 x x)
cost-diff	0	(*.f64 (+.f64 x x) y)
cost-diff	0	(-.f64 x y)
cost-diff	2	(/.f64 (-.f64 x y) (*.f64 (+.f64 x x) y))
cost-diff	0	(/.f64 #s(literal 1/2 binary64) y)
cost-diff	0	#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
cost-diff	0	(/.f64 #s(literal -1/2 binary64) x)
cost-diff	0	#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))
cost-diff	0	(/.f64 #s(literal 1/2 binary64) x)
cost-diff	0	(/.f64 #s(literal 1/2 binary64) y)
cost-diff	0	(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	30	182
0	49	180
1	94	180
2	220	156
3	608	154
4	1733	150
5	4339	150
0	8067	150

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
(/.f64 #s(literal 1/2 binary64) x)
x
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))
(/.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
x
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
(/.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
(/.f64 (-.f64 x y) (*.f64 (+.f64 x x) y))
(-.f64 x y)
x
y
(*.f64 (+.f64 x x) y)
(+.f64 x x)
(-.f64 (/.f64 (/.f64 (.f64 x (/.f64 x (+.f64 y x))) (.f64 #s(literal 2 binary64) x)) y) (/.f64 (/.f64 (.f64 y (/.f64 y (+.f64 y x))) (.f64 #s(literal 2 binary64) x)) y))
(/.f64 (/.f64 (.f64 x (/.f64 x (+.f64 y x))) (.f64 #s(literal 2 binary64) x)) y)
(/.f64 (.f64 x (/.f64 x (+.f64 y x))) (.f64 #s(literal 2 binary64) x))
(*.f64 x (/.f64 x (+.f64 y x)))
x
(/.f64 x (+.f64 y x))
(+.f64 y x)
y
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
(/.f64 (/.f64 (.f64 y (/.f64 y (+.f64 y x))) (.f64 #s(literal 2 binary64) x)) y)
(/.f64 (.f64 y (/.f64 y (+.f64 y x))) (.f64 #s(literal 2 binary64) x))
(*.f64 y (/.f64 y (+.f64 y x)))
(/.f64 y (+.f64 y x))

Outputs
(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
(/.f64 #s(literal 1/2 binary64) x)
x
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))
(/.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
x
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
(/.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
(/.f64 (-.f64 x y) (*.f64 (+.f64 x x) y))
(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(-.f64 x y)
x
y
(*.f64 (+.f64 x x) y)
(.f64 (.f64 #s(literal 2 binary64) y) x)
(+.f64 x x)
(*.f64 #s(literal 2 binary64) x)
(-.f64 (/.f64 (/.f64 (.f64 x (/.f64 x (+.f64 y x))) (.f64 #s(literal 2 binary64) x)) y) (/.f64 (/.f64 (.f64 y (/.f64 y (+.f64 y x))) (.f64 #s(literal 2 binary64) x)) y))
(*.f64 (/.f64 #s(literal -1/2 binary64) (+.f64 x y)) (-.f64 (/.f64 y x) (/.f64 x y)))
(/.f64 (/.f64 (.f64 x (/.f64 x (+.f64 y x))) (.f64 #s(literal 2 binary64) x)) y)
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 x y)) y) x)
(/.f64 (.f64 x (/.f64 x (+.f64 y x))) (.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (/.f64 x (+.f64 x y)))
(*.f64 x (/.f64 x (+.f64 y x)))
(*.f64 (/.f64 x (+.f64 x y)) x)
x
(/.f64 x (+.f64 y x))
(/.f64 x (+.f64 x y))
(+.f64 y x)
(+.f64 x y)
y
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
(/.f64 (/.f64 (.f64 y (/.f64 y (+.f64 y x))) (.f64 #s(literal 2 binary64) x)) y)
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 y (+.f64 x y)) x))
(/.f64 (.f64 y (/.f64 y (+.f64 y x))) (.f64 #s(literal 2 binary64) x))
(.f64 (.f64 #s(literal 1/2 binary64) (/.f64 y (+.f64 x y))) (/.f64 y x))
(*.f64 y (/.f64 y (+.f64 y x)))
(*.f64 (/.f64 y (+.f64 x y)) y)
(/.f64 y (+.f64 y x))
(/.f64 y (+.f64 x y))

localize161.0ms (3.2%)

Memory

28.2MiB live, 171.8MiB allocated; 9ms collecting garbage

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0.08984375	(*.f64 y (/.f64 y (+.f64 y x)))
accuracy	1.1518825828397112	(/.f64 (.f64 y (/.f64 y (+.f64 y x))) (.f64 #s(literal 2 binary64) x))
accuracy	7.099658217648578	(/.f64 (.f64 x (/.f64 x (+.f64 y x))) (.f64 #s(literal 2 binary64) x))
accuracy	12.303050564387393	(/.f64 (/.f64 (.f64 y (/.f64 y (+.f64 y x))) (.f64 #s(literal 2 binary64) x)) y)
accuracy	0.0	(-.f64 x y)
accuracy	0.0	(+.f64 x x)
accuracy	0.24162567451290762	(*.f64 (+.f64 x x) y)
accuracy	14.885304210884751	(/.f64 (-.f64 x y) (*.f64 (+.f64 x x) y))
accuracy	0.0	(/.f64 #s(literal 1/2 binary64) y)
accuracy	32.08419971135823	#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
accuracy	0.0	(/.f64 #s(literal -1/2 binary64) x)
accuracy	31.67802399466657	#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))
accuracy	0.0	(/.f64 #s(literal 1/2 binary64) y)
accuracy	0.0	(/.f64 #s(literal 1/2 binary64) x)
accuracy	0.0078125	(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))

Samples

144.0ms

256×

valid

Compiler

Compiled 176 to 29 computations (83.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 128.0ms

ival-div: 81.0ms (63.4% of total)

ival-mult: 40.0ms (31.3% of total)

ival-sub: 3.0ms (2.3% of total)

ival-add: 2.0ms (1.6% of total)

ival-true: 0.0ms (0% of total)

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series51.0ms (1%)

Memory

-8.1MiB live, 38.5MiB allocated; 6ms collecting garbage

Counts

16 → 109

Calls

Call 1

Inputs
(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) y)
(/.f64 #s(literal 1/2 binary64) x)
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))
(/.f64 #s(literal -1/2 binary64) x)
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
(/.f64 (-.f64 x y) (*.f64 (+.f64 x x) y))
(-.f64 x y)
(*.f64 (+.f64 x x) y)
(+.f64 x x)
(-.f64 (/.f64 (/.f64 (.f64 x (/.f64 x (+.f64 y x))) (.f64 #s(literal 2 binary64) x)) y) (/.f64 (/.f64 (.f64 y (/.f64 y (+.f64 y x))) (.f64 #s(literal 2 binary64) x)) y))
(/.f64 (.f64 x (/.f64 x (+.f64 y x))) (.f64 #s(literal 2 binary64) x))
(/.f64 (/.f64 (.f64 y (/.f64 y (+.f64 y x))) (.f64 #s(literal 2 binary64) x)) y)
(/.f64 (/.f64 (.f64 x (/.f64 x (+.f64 y x))) (.f64 #s(literal 2 binary64) x)) y)
(/.f64 (.f64 y (/.f64 y (+.f64 y x))) (.f64 #s(literal 2 binary64) x))
(*.f64 y (/.f64 y (+.f64 y x)))

Outputs
(/ -1/2 x)
(/ (- (* 1/2 (/ x y)) 1/2) x)
(/ 1/2 x)
(* -1 y)
(- x y)
(* 2 (* x y))
(* 2 x)
(* 1/2 (/ x y))
(* x (+ (* -1/2 (/ x (pow y 2))) (* 1/2 (/ 1 y))))
(* x (+ (* x (- (* 1/2 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (* 1/2 (/ 1 y))))
(* x (+ (* x (- (* x (+ (* -1/2 (/ x (pow y 4))) (* 1/2 (/ 1 (pow y 3))))) (* 1/2 (/ 1 (pow y 2))))) (* 1/2 (/ 1 y))))
(/ (+ 1/2 (* -1/2 (/ x y))) x)
(/ (+ 1/2 (* x (- (* 1/2 (/ x (pow y 2))) (* 1/2 (/ 1 y))))) x)
(/ (+ 1/2 (* x (- (* x (+ (* -1/2 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (* 1/2 (/ 1 y))))) x)
(* 1/2 (/ x (pow y 2)))
(* x (+ (* -1/2 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2)))))
(* x (+ (* x (- (* 1/2 (/ x (pow y 4))) (* 1/2 (/ 1 (pow y 3))))) (* 1/2 (/ 1 (pow y 2)))))
(* x (+ (* x (- (* x (+ (* -1/2 (/ x (pow y 5))) (* 1/2 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 3))))) (* 1/2 (/ 1 (pow y 2)))))
(* 1/2 (/ y x))
(/ (+ (* -1/2 x) (* 1/2 y)) x)
(/ (+ (* 1/2 y) (* x (- (* 1/2 (/ x y)) 1/2))) x)
(/ (+ (* 1/2 y) (* x (- (* x (+ (* -1/2 (/ x (pow y 2))) (* 1/2 (/ 1 y)))) 1/2))) x)
y
(+ y (* -1 x))
(+ y (* x (- (/ x y) 1)))
(+ y (* x (- (* x (+ (* -1 (/ x (pow y 2))) (/ 1 y))) 1)))
(/ 1/2 y)
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
x
(* x (+ 1 (* -1 (/ y x))))
1/2
(+ 1/2 (* -1/2 (/ y x)))
(- (+ 1/2 (* 1/2 (/ (pow y 2) (pow x 2)))) (* 1/2 (/ y x)))
(- (+ 1/2 (* -1/2 (/ (pow y 3) (pow x 3)))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (* 1/2 (/ y x))))
(* 1/2 (/ y (pow x 2)))
(/ (+ (* -1/2 (/ (pow y 2) x)) (* 1/2 y)) (pow x 2))
(/ (+ (* -1/2 (/ (pow y 2) x)) (+ (* 1/2 y) (* 1/2 (/ (pow y 3) (pow x 2))))) (pow x 2))
(/ (+ (* -1/2 (/ (pow y 2) x)) (+ (* -1/2 (/ (pow y 4) (pow x 3))) (+ (* 1/2 y) (* 1/2 (/ (pow y 3) (pow x 2)))))) (pow x 2))
(- (+ (* 1/2 (/ y (pow x 2))) (* 1/2 (/ 1 y))) (* 1/2 (/ 1 x)))
(- (+ (* -1/2 (/ (pow y 2) (pow x 3))) (* 1/2 (/ 1 y))) (+ (* -1/2 (/ y (pow x 2))) (* 1/2 (/ 1 x))))
(* 1/2 (/ (pow y 2) (pow x 2)))
(/ (+ (* -1/2 (/ (pow y 3) x)) (* 1/2 (pow y 2))) (pow x 2))
(/ (+ (* -1/2 (/ (pow y 3) x)) (+ (* 1/2 (/ (pow y 4) (pow x 2))) (* 1/2 (pow y 2)))) (pow x 2))
(/ (+ (* -1/2 (/ (pow y 3) x)) (+ (* -1/2 (/ (pow y 5) (pow x 3))) (+ (* 1/2 (/ (pow y 4) (pow x 2))) (* 1/2 (pow y 2))))) (pow x 2))
(/ (pow y 2) x)
(/ (+ (* -1 (/ (pow y 3) x)) (pow y 2)) x)
(/ (- (+ (/ (pow y 4) (pow x 2)) (pow y 2)) (/ (pow y 3) x)) x)
(/ (- (+ (* -1 (/ (pow y 5) (pow x 3))) (pow y 2)) (+ (* -1 (/ (pow y 4) (pow x 2))) (/ (pow y 3) x))) x)
(* -1 (* x (- (/ y x) 1)))
(+ (* -1 (/ (+ 1/2 (+ (* -1/2 (/ y x)) (* 1/2 (/ y x)))) x)) (* 1/2 (/ 1 y)))
(+ (* -1 (/ (+ 1/2 (* -1 (/ (- (+ (* -1/2 (/ (pow y 2) x)) (* 1/2 (/ (pow y 2) x))) (+ (* -1/2 y) (* 1/2 y))) x))) x)) (* 1/2 (/ 1 y)))
(+ 1/2 (* -1 (/ (- (* -1/2 (/ (pow y 2) x)) (* -1/2 y)) x)))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (pow y 3) x)) (* -1/2 (pow y 2))) x)) (* -1/2 y)) x)))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (pow y 3) x)) (* 1/2 (pow y 2))) x)) (* 1/2 y)) (pow x 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (pow y 4) x)) (* 1/2 (pow y 3))) x)) (* 1/2 (pow y 2))) x)) (* 1/2 y)) (pow x 2))
(+ (* -1 (/ (+ 1/2 (* -1/2 (/ y x))) x)) (* 1/2 (/ 1 y)))
(+ (* -1 (/ (+ 1/2 (* -1 (/ (- (* -1/2 (/ (pow y 2) x)) (* -1/2 y)) x))) x)) (* 1/2 (/ 1 y)))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (pow y 4) x)) (* 1/2 (pow y 3))) x)) (* 1/2 (pow y 2))) (pow x 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (pow y 5) x)) (* 1/2 (pow y 4))) x)) (* 1/2 (pow y 3))) x)) (* 1/2 (pow y 2))) (pow x 2))
(* -1 (/ (+ (* -1 (pow y 2)) (/ (pow y 3) x)) x))
(* -1 (/ (+ (* -1 (/ (- (/ (pow y 4) x) (pow y 3)) x)) (* -1 (pow y 2))) x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow y 5) x) (pow y 4)) x)) (pow y 3)) x)) (* -1 (pow y 2))) x))
(/ (+ 1/2 (* -1/2 (/ y x))) y)
(+ x (* -1 y))
(+ 1/2 (* y (- (* 1/2 (/ y (pow x 2))) (* 1/2 (/ 1 x)))))
(+ 1/2 (* y (- (* y (+ (* -1/2 (/ y (pow x 3))) (* 1/2 (/ 1 (pow x 2))))) (* 1/2 (/ 1 x)))))
(* y (+ (* -1/2 (/ y (pow x 3))) (* 1/2 (/ 1 (pow x 2)))))
(* y (+ (* y (- (* 1/2 (/ y (pow x 4))) (* 1/2 (/ 1 (pow x 3))))) (* 1/2 (/ 1 (pow x 2)))))
(* y (+ (* y (- (* y (+ (* -1/2 (/ y (pow x 5))) (* 1/2 (/ 1 (pow x 4))))) (* 1/2 (/ 1 (pow x 3))))) (* 1/2 (/ 1 (pow x 2)))))
(/ (+ 1/2 (* y (- (* 1/2 (/ y (pow x 2))) (* 1/2 (/ 1 x))))) y)
(/ (+ 1/2 (* y (- (* y (+ (* -1/2 (/ y (pow x 3))) (* 1/2 (/ 1 (pow x 2))))) (* 1/2 (/ 1 x))))) y)
(* (pow y 2) (+ (* -1/2 (/ y (pow x 3))) (* 1/2 (/ 1 (pow x 2)))))
(* (pow y 2) (+ (* y (- (* 1/2 (/ y (pow x 4))) (* 1/2 (/ 1 (pow x 3))))) (* 1/2 (/ 1 (pow x 2)))))
(* (pow y 2) (+ (* y (- (* y (+ (* -1/2 (/ y (pow x 5))) (* 1/2 (/ 1 (pow x 4))))) (* 1/2 (/ 1 (pow x 3))))) (* 1/2 (/ 1 (pow x 2)))))
(* (pow y 2) (+ (* -1 (/ y (pow x 2))) (/ 1 x)))
(* (pow y 2) (+ (* y (- (/ y (pow x 3)) (/ 1 (pow x 2)))) (/ 1 x)))
(* (pow y 2) (+ (* y (- (* y (+ (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x)))
(* y (- (/ x y) 1))
(/ (+ (* -1/2 (/ (pow x 2) y)) (* 1/2 x)) y)
(/ (+ (* -1/2 (/ (pow x 2) y)) (+ (* 1/2 x) (* 1/2 (/ (pow x 3) (pow y 2))))) y)
(/ (+ (* -1/2 (/ (pow x 2) y)) (+ (* -1/2 (/ (pow x 4) (pow y 3))) (+ (* 1/2 x) (* 1/2 (/ (pow x 3) (pow y 2)))))) y)
(- (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))
(- (+ (* 1/2 (/ x (pow y 2))) (* 1/2 (/ 1 x))) (* 1/2 (/ 1 y)))
(- (+ (* -1/2 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 x))) (+ (* -1/2 (/ x (pow y 2))) (* 1/2 (/ 1 y))))
(/ (+ (* -1/2 (/ (pow x 2) y)) (* 1/2 x)) (pow y 2))
(/ (+ (* -1/2 (/ (pow x 2) y)) (+ (* 1/2 x) (* 1/2 (/ (pow x 3) (pow y 2))))) (pow y 2))
(/ (+ (* -1/2 (/ (pow x 2) y)) (+ (* -1/2 (/ (pow x 4) (pow y 3))) (+ (* 1/2 x) (* 1/2 (/ (pow x 3) (pow y 2)))))) (pow y 2))
(* y (- (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))
(* y (- (+ (* 1/2 (/ x (pow y 2))) (* 1/2 (/ 1 x))) (* 1/2 (/ 1 y))))
(* y (- (+ (* -1/2 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 x))) (+ (* -1/2 (/ x (pow y 2))) (* 1/2 (/ 1 y)))))
(* y (+ 1 (* -1 (/ x y))))
(* y (- (+ 1 (/ (pow x 2) (pow y 2))) (/ x y)))
(* y (- (+ 1 (* -1 (/ (pow x 3) (pow y 3)))) (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(- (* -1 (/ (- (* -1 (/ (+ (* -1/2 x) (* 1/2 x)) y)) 1/2) y)) (* 1/2 (/ 1 x)))
(- (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/2 (pow x 2))) y)) (+ (* -1/2 x) (* 1/2 x))) y)) 1/2) y)) (* 1/2 (/ 1 x)))
(* -1 (/ (+ (* -1/2 x) (* 1/2 (/ (pow x 2) y))) y))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/2 (/ (pow x 3) y))) y)) (* -1/2 x)) y))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (pow x 3)) (* 1/2 (/ (pow x 4) y))) y)) (* -1/2 (pow x 2))) y)) (* -1/2 x)) y))
(+ (* -1 (/ (+ 1/2 (* -1/2 (/ x y))) y)) (* 1/2 (/ 1 x)))
(+ (* -1 (/ (+ 1/2 (* -1 (/ (- (* -1/2 (/ (pow x 2) y)) (* -1/2 x)) y))) y)) (* 1/2 (/ 1 x)))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (pow x 3) y)) (* 1/2 (pow x 2))) y)) (* 1/2 x)) (pow y 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (pow x 4) y)) (* 1/2 (pow x 3))) y)) (* 1/2 (pow x 2))) y)) (* 1/2 x)) (pow y 2))
(* -1 (* y (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))))
(* -1 (* y (- (* -1 (/ (- (* 1/2 (/ x y)) 1/2) y)) (* 1/2 (/ 1 x)))))
(* -1 (* y (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow x 2) y)) (* 1/2 x)) y)) 1/2) y)) (* 1/2 (/ 1 x)))))
(* -1 (* y (- (/ x y) 1)))
(* -1 (* y (- (* -1 (/ (- (/ (pow x 2) y) x) y)) 1)))
(* -1 (* y (- (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y)) x) y)) 1)))

Calls

6 calls:

Time	Variable		Point	Expression
27.0ms	x	@	0	((- (/ 1/2 y) (/ 1/2 x)) (/ 1/2 y) (/ 1/2 x) (/ (- x y) (* (* x 2) y)) (/ -1/2 x) (/ (- x y) (* (* x 2) y)) (/ (- x y) (* (+ x x) y)) (- x y) (* (+ x x) y) (+ x x) (- (/ (/ (* x (/ x (+ y x))) (* 2 x)) y) (/ (/ (* y (/ y (+ y x))) (* 2 x)) y)) (/ (* x (/ x (+ y x))) (* 2 x)) (/ (/ (* y (/ y (+ y x))) (* 2 x)) y) (/ (/ (* x (/ x (+ y x))) (* 2 x)) y) (/ (* y (/ y (+ y x))) (* 2 x)) (* y (/ y (+ y x))))
8.0ms	x	@	inf	((- (/ 1/2 y) (/ 1/2 x)) (/ 1/2 y) (/ 1/2 x) (/ (- x y) (* (* x 2) y)) (/ -1/2 x) (/ (- x y) (* (* x 2) y)) (/ (- x y) (* (+ x x) y)) (- x y) (* (+ x x) y) (+ x x) (- (/ (/ (* x (/ x (+ y x))) (* 2 x)) y) (/ (/ (* y (/ y (+ y x))) (* 2 x)) y)) (/ (* x (/ x (+ y x))) (* 2 x)) (/ (/ (* y (/ y (+ y x))) (* 2 x)) y) (/ (/ (* x (/ x (+ y x))) (* 2 x)) y) (/ (* y (/ y (+ y x))) (* 2 x)) (* y (/ y (+ y x))))
5.0ms	y	@	0	((- (/ 1/2 y) (/ 1/2 x)) (/ 1/2 y) (/ 1/2 x) (/ (- x y) (* (* x 2) y)) (/ -1/2 x) (/ (- x y) (* (* x 2) y)) (/ (- x y) (* (+ x x) y)) (- x y) (* (+ x x) y) (+ x x) (- (/ (/ (* x (/ x (+ y x))) (* 2 x)) y) (/ (/ (* y (/ y (+ y x))) (* 2 x)) y)) (/ (* x (/ x (+ y x))) (* 2 x)) (/ (/ (* y (/ y (+ y x))) (* 2 x)) y) (/ (/ (* x (/ x (+ y x))) (* 2 x)) y) (/ (* y (/ y (+ y x))) (* 2 x)) (* y (/ y (+ y x))))
4.0ms	y	@	inf	((- (/ 1/2 y) (/ 1/2 x)) (/ 1/2 y) (/ 1/2 x) (/ (- x y) (* (* x 2) y)) (/ -1/2 x) (/ (- x y) (* (* x 2) y)) (/ (- x y) (* (+ x x) y)) (- x y) (* (+ x x) y) (+ x x) (- (/ (/ (* x (/ x (+ y x))) (* 2 x)) y) (/ (/ (* y (/ y (+ y x))) (* 2 x)) y)) (/ (* x (/ x (+ y x))) (* 2 x)) (/ (/ (* y (/ y (+ y x))) (* 2 x)) y) (/ (/ (* x (/ x (+ y x))) (* 2 x)) y) (/ (* y (/ y (+ y x))) (* 2 x)) (* y (/ y (+ y x))))
3.0ms	x	@	-inf	((- (/ 1/2 y) (/ 1/2 x)) (/ 1/2 y) (/ 1/2 x) (/ (- x y) (* (* x 2) y)) (/ -1/2 x) (/ (- x y) (* (* x 2) y)) (/ (- x y) (* (+ x x) y)) (- x y) (* (+ x x) y) (+ x x) (- (/ (/ (* x (/ x (+ y x))) (* 2 x)) y) (/ (/ (* y (/ y (+ y x))) (* 2 x)) y)) (/ (* x (/ x (+ y x))) (* 2 x)) (/ (/ (* y (/ y (+ y x))) (* 2 x)) y) (/ (/ (* x (/ x (+ y x))) (* 2 x)) y) (/ (* y (/ y (+ y x))) (* 2 x)) (* y (/ y (+ y x))))

simplify191.0ms (3.7%)

Memory

-8.8MiB live, 170.4MiB allocated; 29ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	456	1806
1	1487	1682
2	4887	1637
0	8407	1531

Stop Event

1×	iter limit
1×	node limit

Counts

109 → 107

Calls

Call 1

Inputs
(/ -1/2 x)
(/ (- (* 1/2 (/ x y)) 1/2) x)
(/ 1/2 x)
(* -1 y)
(- x y)
(* 2 (* x y))
(* 2 x)
(* 1/2 (/ x y))
(* x (+ (* -1/2 (/ x (pow y 2))) (* 1/2 (/ 1 y))))
(* x (+ (* x (- (* 1/2 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (* 1/2 (/ 1 y))))
(* x (+ (* x (- (* x (+ (* -1/2 (/ x (pow y 4))) (* 1/2 (/ 1 (pow y 3))))) (* 1/2 (/ 1 (pow y 2))))) (* 1/2 (/ 1 y))))
(/ (+ 1/2 (* -1/2 (/ x y))) x)
(/ (+ 1/2 (* x (- (* 1/2 (/ x (pow y 2))) (* 1/2 (/ 1 y))))) x)
(/ (+ 1/2 (* x (- (* x (+ (* -1/2 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (* 1/2 (/ 1 y))))) x)
(* 1/2 (/ x (pow y 2)))
(* x (+ (* -1/2 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2)))))
(* x (+ (* x (- (* 1/2 (/ x (pow y 4))) (* 1/2 (/ 1 (pow y 3))))) (* 1/2 (/ 1 (pow y 2)))))
(* x (+ (* x (- (* x (+ (* -1/2 (/ x (pow y 5))) (* 1/2 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 3))))) (* 1/2 (/ 1 (pow y 2)))))
(* 1/2 (/ y x))
(/ (+ (* -1/2 x) (* 1/2 y)) x)
(/ (+ (* 1/2 y) (* x (- (* 1/2 (/ x y)) 1/2))) x)
(/ (+ (* 1/2 y) (* x (- (* x (+ (* -1/2 (/ x (pow y 2))) (* 1/2 (/ 1 y)))) 1/2))) x)
y
(+ y (* -1 x))
(+ y (* x (- (/ x y) 1)))
(+ y (* x (- (* x (+ (* -1 (/ x (pow y 2))) (/ 1 y))) 1)))
(/ 1/2 y)
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
x
(* x (+ 1 (* -1 (/ y x))))
1/2
(+ 1/2 (* -1/2 (/ y x)))
(- (+ 1/2 (* 1/2 (/ (pow y 2) (pow x 2)))) (* 1/2 (/ y x)))
(- (+ 1/2 (* -1/2 (/ (pow y 3) (pow x 3)))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (* 1/2 (/ y x))))
(* 1/2 (/ y (pow x 2)))
(/ (+ (* -1/2 (/ (pow y 2) x)) (* 1/2 y)) (pow x 2))
(/ (+ (* -1/2 (/ (pow y 2) x)) (+ (* 1/2 y) (* 1/2 (/ (pow y 3) (pow x 2))))) (pow x 2))
(/ (+ (* -1/2 (/ (pow y 2) x)) (+ (* -1/2 (/ (pow y 4) (pow x 3))) (+ (* 1/2 y) (* 1/2 (/ (pow y 3) (pow x 2)))))) (pow x 2))
(- (+ (* 1/2 (/ y (pow x 2))) (* 1/2 (/ 1 y))) (* 1/2 (/ 1 x)))
(- (+ (* -1/2 (/ (pow y 2) (pow x 3))) (* 1/2 (/ 1 y))) (+ (* -1/2 (/ y (pow x 2))) (* 1/2 (/ 1 x))))
(* 1/2 (/ (pow y 2) (pow x 2)))
(/ (+ (* -1/2 (/ (pow y 3) x)) (* 1/2 (pow y 2))) (pow x 2))
(/ (+ (* -1/2 (/ (pow y 3) x)) (+ (* 1/2 (/ (pow y 4) (pow x 2))) (* 1/2 (pow y 2)))) (pow x 2))
(/ (+ (* -1/2 (/ (pow y 3) x)) (+ (* -1/2 (/ (pow y 5) (pow x 3))) (+ (* 1/2 (/ (pow y 4) (pow x 2))) (* 1/2 (pow y 2))))) (pow x 2))
(/ (pow y 2) x)
(/ (+ (* -1 (/ (pow y 3) x)) (pow y 2)) x)
(/ (- (+ (/ (pow y 4) (pow x 2)) (pow y 2)) (/ (pow y 3) x)) x)
(/ (- (+ (* -1 (/ (pow y 5) (pow x 3))) (pow y 2)) (+ (* -1 (/ (pow y 4) (pow x 2))) (/ (pow y 3) x))) x)
(* -1 (* x (- (/ y x) 1)))
(+ (* -1 (/ (+ 1/2 (+ (* -1/2 (/ y x)) (* 1/2 (/ y x)))) x)) (* 1/2 (/ 1 y)))
(+ (* -1 (/ (+ 1/2 (* -1 (/ (- (+ (* -1/2 (/ (pow y 2) x)) (* 1/2 (/ (pow y 2) x))) (+ (* -1/2 y) (* 1/2 y))) x))) x)) (* 1/2 (/ 1 y)))
(+ 1/2 (* -1 (/ (- (* -1/2 (/ (pow y 2) x)) (* -1/2 y)) x)))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (pow y 3) x)) (* -1/2 (pow y 2))) x)) (* -1/2 y)) x)))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (pow y 3) x)) (* 1/2 (pow y 2))) x)) (* 1/2 y)) (pow x 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (pow y 4) x)) (* 1/2 (pow y 3))) x)) (* 1/2 (pow y 2))) x)) (* 1/2 y)) (pow x 2))
(+ (* -1 (/ (+ 1/2 (* -1/2 (/ y x))) x)) (* 1/2 (/ 1 y)))
(+ (* -1 (/ (+ 1/2 (* -1 (/ (- (* -1/2 (/ (pow y 2) x)) (* -1/2 y)) x))) x)) (* 1/2 (/ 1 y)))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (pow y 4) x)) (* 1/2 (pow y 3))) x)) (* 1/2 (pow y 2))) (pow x 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (pow y 5) x)) (* 1/2 (pow y 4))) x)) (* 1/2 (pow y 3))) x)) (* 1/2 (pow y 2))) (pow x 2))
(* -1 (/ (+ (* -1 (pow y 2)) (/ (pow y 3) x)) x))
(* -1 (/ (+ (* -1 (/ (- (/ (pow y 4) x) (pow y 3)) x)) (* -1 (pow y 2))) x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow y 5) x) (pow y 4)) x)) (pow y 3)) x)) (* -1 (pow y 2))) x))
(/ (+ 1/2 (* -1/2 (/ y x))) y)
(+ x (* -1 y))
(+ 1/2 (* y (- (* 1/2 (/ y (pow x 2))) (* 1/2 (/ 1 x)))))
(+ 1/2 (* y (- (* y (+ (* -1/2 (/ y (pow x 3))) (* 1/2 (/ 1 (pow x 2))))) (* 1/2 (/ 1 x)))))
(* y (+ (* -1/2 (/ y (pow x 3))) (* 1/2 (/ 1 (pow x 2)))))
(* y (+ (* y (- (* 1/2 (/ y (pow x 4))) (* 1/2 (/ 1 (pow x 3))))) (* 1/2 (/ 1 (pow x 2)))))
(* y (+ (* y (- (* y (+ (* -1/2 (/ y (pow x 5))) (* 1/2 (/ 1 (pow x 4))))) (* 1/2 (/ 1 (pow x 3))))) (* 1/2 (/ 1 (pow x 2)))))
(/ (+ 1/2 (* y (- (* 1/2 (/ y (pow x 2))) (* 1/2 (/ 1 x))))) y)
(/ (+ 1/2 (* y (- (* y (+ (* -1/2 (/ y (pow x 3))) (* 1/2 (/ 1 (pow x 2))))) (* 1/2 (/ 1 x))))) y)
(* (pow y 2) (+ (* -1/2 (/ y (pow x 3))) (* 1/2 (/ 1 (pow x 2)))))
(* (pow y 2) (+ (* y (- (* 1/2 (/ y (pow x 4))) (* 1/2 (/ 1 (pow x 3))))) (* 1/2 (/ 1 (pow x 2)))))
(* (pow y 2) (+ (* y (- (* y (+ (* -1/2 (/ y (pow x 5))) (* 1/2 (/ 1 (pow x 4))))) (* 1/2 (/ 1 (pow x 3))))) (* 1/2 (/ 1 (pow x 2)))))
(* (pow y 2) (+ (* -1 (/ y (pow x 2))) (/ 1 x)))
(* (pow y 2) (+ (* y (- (/ y (pow x 3)) (/ 1 (pow x 2)))) (/ 1 x)))
(* (pow y 2) (+ (* y (- (* y (+ (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x)))
(* y (- (/ x y) 1))
(/ (+ (* -1/2 (/ (pow x 2) y)) (* 1/2 x)) y)
(/ (+ (* -1/2 (/ (pow x 2) y)) (+ (* 1/2 x) (* 1/2 (/ (pow x 3) (pow y 2))))) y)
(/ (+ (* -1/2 (/ (pow x 2) y)) (+ (* -1/2 (/ (pow x 4) (pow y 3))) (+ (* 1/2 x) (* 1/2 (/ (pow x 3) (pow y 2)))))) y)
(- (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))
(- (+ (* 1/2 (/ x (pow y 2))) (* 1/2 (/ 1 x))) (* 1/2 (/ 1 y)))
(- (+ (* -1/2 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 x))) (+ (* -1/2 (/ x (pow y 2))) (* 1/2 (/ 1 y))))
(/ (+ (* -1/2 (/ (pow x 2) y)) (* 1/2 x)) (pow y 2))
(/ (+ (* -1/2 (/ (pow x 2) y)) (+ (* 1/2 x) (* 1/2 (/ (pow x 3) (pow y 2))))) (pow y 2))
(/ (+ (* -1/2 (/ (pow x 2) y)) (+ (* -1/2 (/ (pow x 4) (pow y 3))) (+ (* 1/2 x) (* 1/2 (/ (pow x 3) (pow y 2)))))) (pow y 2))
(* y (- (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))
(* y (- (+ (* 1/2 (/ x (pow y 2))) (* 1/2 (/ 1 x))) (* 1/2 (/ 1 y))))
(* y (- (+ (* -1/2 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 x))) (+ (* -1/2 (/ x (pow y 2))) (* 1/2 (/ 1 y)))))
(* y (+ 1 (* -1 (/ x y))))
(* y (- (+ 1 (/ (pow x 2) (pow y 2))) (/ x y)))
(* y (- (+ 1 (* -1 (/ (pow x 3) (pow y 3)))) (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(- (* -1 (/ (- (* -1 (/ (+ (* -1/2 x) (* 1/2 x)) y)) 1/2) y)) (* 1/2 (/ 1 x)))
(- (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/2 (pow x 2))) y)) (+ (* -1/2 x) (* 1/2 x))) y)) 1/2) y)) (* 1/2 (/ 1 x)))
(* -1 (/ (+ (* -1/2 x) (* 1/2 (/ (pow x 2) y))) y))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/2 (/ (pow x 3) y))) y)) (* -1/2 x)) y))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (pow x 3)) (* 1/2 (/ (pow x 4) y))) y)) (* -1/2 (pow x 2))) y)) (* -1/2 x)) y))
(+ (* -1 (/ (+ 1/2 (* -1/2 (/ x y))) y)) (* 1/2 (/ 1 x)))
(+ (* -1 (/ (+ 1/2 (* -1 (/ (- (* -1/2 (/ (pow x 2) y)) (* -1/2 x)) y))) y)) (* 1/2 (/ 1 x)))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (pow x 3) y)) (* 1/2 (pow x 2))) y)) (* 1/2 x)) (pow y 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (pow x 4) y)) (* 1/2 (pow x 3))) y)) (* 1/2 (pow x 2))) y)) (* 1/2 x)) (pow y 2))
(* -1 (* y (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))))
(* -1 (* y (- (* -1 (/ (- (* 1/2 (/ x y)) 1/2) y)) (* 1/2 (/ 1 x)))))
(* -1 (* y (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow x 2) y)) (* 1/2 x)) y)) 1/2) y)) (* 1/2 (/ 1 x)))))
(* -1 (* y (- (/ x y) 1)))
(* -1 (* y (- (* -1 (/ (- (/ (pow x 2) y) x) y)) 1)))
(* -1 (* y (- (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y)) x) y)) 1)))

Outputs
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ (- (* 1/2 (/ x y)) 1/2) x)
(/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal -1/2 binary64)) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(* -1 y)
(neg.f64 y)
(- x y)
(-.f64 x y)
(* 2 (* x y))
(.f64 (.f64 x y) #s(literal 2 binary64))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 1/2 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/2 binary64))
(* x (+ (* -1/2 (/ x (pow y 2))) (* 1/2 (/ 1 y))))
(*.f64 (/.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) y) x)
(* x (+ (* x (- (* 1/2 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (* 1/2 (/ 1 y))))
(*.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal -1/2 binary64)) y) x #s(literal 1/2 binary64)) y) x)
(* x (+ (* x (- (* x (+ (* -1/2 (/ x (pow y 4))) (* 1/2 (/ 1 (pow y 3))))) (* 1/2 (/ 1 (pow y 2))))) (* 1/2 (/ 1 y))))
(.f64 (fma.f64 (fma.f64 (.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64)))) #s(literal -1/2 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal -1/2 binary64)) (*.f64 y y))) x (/.f64 #s(literal 1/2 binary64) y)) x)
(/ (+ 1/2 (* -1/2 (/ x y))) x)
(/.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x)
(/ (+ 1/2 (* x (- (* 1/2 (/ x (pow y 2))) (* 1/2 (/ 1 y))))) x)
(/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal -1/2 binary64)) y) x #s(literal 1/2 binary64)) x)
(/ (+ 1/2 (* x (- (* x (+ (* -1/2 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (* 1/2 (/ 1 y))))) x)
(/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) y) x #s(literal -1/2 binary64)) y) x #s(literal 1/2 binary64)) x)
(* 1/2 (/ x (pow y 2)))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) x)
(* x (+ (* -1/2 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2)))))
(*.f64 (/.f64 (/.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) y) y) x)
(* x (+ (* x (- (* 1/2 (/ x (pow y 4))) (* 1/2 (/ 1 (pow y 3))))) (* 1/2 (/ 1 (pow y 2)))))
(*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 4 binary64))) x (/.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal 3 binary64)))) x (/.f64 (/.f64 #s(literal 1/2 binary64) y) y)) x)
(* x (+ (* x (- (* x (+ (* -1/2 (/ x (pow y 5))) (* 1/2 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 3))))) (* 1/2 (/ 1 (pow y 2)))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 x (pow.f64 y #s(literal 5 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 4 binary64)))) x (/.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal 3 binary64)))) x (/.f64 (/.f64 #s(literal 1/2 binary64) y) y)) x)
(* 1/2 (/ y x))
(*.f64 (/.f64 y x) #s(literal 1/2 binary64))
(/ (+ (* -1/2 x) (* 1/2 y)) x)
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 x y)) x)
(/ (+ (* 1/2 y) (* x (- (* 1/2 (/ x y)) 1/2))) x)
(/.f64 (fma.f64 (-.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) x (.f64 #s(literal 1/2 binary64) y)) x)
(/ (+ (* 1/2 y) (* x (- (* x (+ (* -1/2 (/ x (pow y 2))) (* 1/2 (/ 1 y)))) 1/2))) x)
(/.f64 (fma.f64 (-.f64 (.f64 (/.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) y) x) #s(literal 1/2 binary64)) x (.f64 #s(literal 1/2 binary64) y)) x)
y
(+ y (* -1 x))
(-.f64 y x)
(+ y (* x (- (/ x y) 1)))
(fma.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) x y)
(+ y (* x (- (* x (+ (* -1 (/ x (pow y 2))) (/ 1 y))) 1)))
(fma.f64 (-.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) x) #s(literal 1 binary64)) x y)
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(-.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))
x
(* x (+ 1 (* -1 (/ y x))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/2 (/ y x)))
(fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(- (+ 1/2 (* 1/2 (/ (pow y 2) (pow x 2)))) (* 1/2 (/ y x)))
(fma.f64 (/.f64 (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x) y #s(literal 1/2 binary64))
(- (+ 1/2 (* -1/2 (/ (pow y 3) (pow x 3)))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (* 1/2 (/ y x))))
(fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x) y #s(literal -1/2 binary64)) x) y #s(literal 1/2 binary64))
(* 1/2 (/ y (pow x 2)))
(*.f64 (/.f64 (/.f64 y x) x) #s(literal 1/2 binary64))
(/ (+ (* -1/2 (/ (pow y 2) x)) (* 1/2 y)) (pow x 2))
(*.f64 (/.f64 (/.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x) x) y)
(/ (+ (* -1/2 (/ (pow y 2) x)) (+ (* 1/2 y) (* 1/2 (/ (pow y 3) (pow x 2))))) (pow x 2))
(/.f64 (*.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x) y #s(literal -1/2 binary64)) x)) y) x)
(/ (+ (* -1/2 (/ (pow y 2) x)) (+ (* -1/2 (/ (pow y 4) (pow x 3))) (+ (* 1/2 y) (* 1/2 (/ (pow y 3) (pow x 2)))))) (pow x 2))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 y (/.f64 y x) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64)))) (.f64 (+.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) x) x) y) #s(literal 1/2 binary64))) (.f64 x x))
(- (+ (* 1/2 (/ y (pow x 2))) (* 1/2 (/ 1 y))) (* 1/2 (/ 1 x)))
(-.f64 (/.f64 (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x) (/.f64 #s(literal -1/2 binary64) y))
(- (+ (* -1/2 (/ (pow y 2) (pow x 3))) (* 1/2 (/ 1 y))) (+ (* -1/2 (/ y (pow x 2))) (* 1/2 (/ 1 x))))
(-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (/.f64 (/.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x) x) y)) (/.f64 #s(literal 1/2 binary64) x))
(* 1/2 (/ (pow y 2) (pow x 2)))
(.f64 (.f64 (/.f64 (/.f64 y x) x) #s(literal 1/2 binary64)) y)
(/ (+ (* -1/2 (/ (pow y 3) x)) (* 1/2 (pow y 2))) (pow x 2))
(.f64 (.f64 (/.f64 (/.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x) x) y) y)
(/ (+ (* -1/2 (/ (pow y 3) x)) (+ (* 1/2 (/ (pow y 4) (pow x 2))) (* 1/2 (pow y 2)))) (pow x 2))
(/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) y (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) x) (pow.f64 y #s(literal 3 binary64)))) x)) (*.f64 x x))
(/ (+ (* -1/2 (/ (pow y 3) x)) (+ (* -1/2 (/ (pow y 5) (pow x 3))) (+ (* 1/2 (/ (pow y 4) (pow x 2))) (* 1/2 (pow y 2))))) (pow x 2))
(/.f64 (fma.f64 (fma.f64 y y (/.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) x) x)) #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) x) (/.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 x #s(literal 3 binary64)))))) (.f64 x x))
(/ (pow y 2) x)
(*.f64 y (/.f64 y x))
(/ (+ (* -1 (/ (pow y 3) x)) (pow y 2)) x)
(.f64 (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) y) y)
(/ (- (+ (/ (pow y 4) (pow x 2)) (pow y 2)) (/ (pow y 3) x)) x)
(/.f64 (fma.f64 y y (/.f64 (-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) x) (pow.f64 y #s(literal 3 binary64))) x)) x)
(/ (- (+ (* -1 (/ (pow y 5) (pow x 3))) (pow y 2)) (+ (* -1 (/ (pow y 4) (pow x 2))) (/ (pow y 3) x))) x)
(/.f64 (-.f64 (fma.f64 y y (/.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))) (/.f64 (+.f64 (/.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) x) (pow.f64 y #s(literal 3 binary64))) x)) x)
(* -1 (* x (- (/ y x) 1)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 y x) #s(literal 1 binary64)))
(+ (* -1 (/ (+ 1/2 (+ (* -1/2 (/ y x)) (* 1/2 (/ y x)))) x)) (* 1/2 (/ 1 y)))
(-.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))
(+ (* -1 (/ (+ 1/2 (* -1 (/ (- (+ (* -1/2 (/ (pow y 2) x)) (* 1/2 (/ (pow y 2) x))) (+ (* -1/2 y) (* 1/2 y))) x))) x)) (* 1/2 (/ 1 y)))
(-.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))
(+ 1/2 (* -1 (/ (- (* -1/2 (/ (pow y 2) x)) (* -1/2 y)) x)))
(fma.f64 (/.f64 (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x) y #s(literal 1/2 binary64))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (pow y 3) x)) (* -1/2 (pow y 2))) x)) (* -1/2 y)) x)))
(fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x) y #s(literal -1/2 binary64)) x) y #s(literal 1/2 binary64))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (pow y 3) x)) (* 1/2 (pow y 2))) x)) (* 1/2 y)) (pow x 2))
(/.f64 (*.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x) y #s(literal -1/2 binary64)) x)) y) x)
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (pow y 4) x)) (* 1/2 (pow y 3))) x)) (* 1/2 (pow y 2))) x)) (* 1/2 y)) (pow x 2))
(/.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) y (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) x) (pow.f64 y #s(literal 3 binary64)))) x)) (neg.f64 x))) (*.f64 x x))
(+ (* -1 (/ (+ 1/2 (* -1/2 (/ y x))) x)) (* 1/2 (/ 1 y)))
(-.f64 (/.f64 (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x) (/.f64 #s(literal -1/2 binary64) y))
(+ (* -1 (/ (+ 1/2 (* -1 (/ (- (* -1/2 (/ (pow y 2) x)) (* -1/2 y)) x))) x)) (* 1/2 (/ 1 y)))
(-.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x) y #s(literal -1/2 binary64)) x) (/.f64 #s(literal -1/2 binary64) y))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (pow y 4) x)) (* 1/2 (pow y 3))) x)) (* 1/2 (pow y 2))) (pow x 2))
(/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) y (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) x) (pow.f64 y #s(literal 3 binary64)))) x)) (*.f64 x x))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (pow y 5) x)) (* 1/2 (pow y 4))) x)) (* 1/2 (pow y 3))) x)) (* 1/2 (pow y 2))) (pow x 2))
(/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) y (/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (pow.f64 y #s(literal 5 binary64)) x) (pow.f64 y #s(literal 4 binary64)))) x)) (neg.f64 x))) (*.f64 x x))
(* -1 (/ (+ (* -1 (pow y 2)) (/ (pow y 3) x)) x))
(.f64 (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) y) y)
(* -1 (/ (+ (* -1 (/ (- (/ (pow y 4) x) (pow y 3)) x)) (* -1 (pow y 2))) x))
(/.f64 (-.f64 (*.f64 y y) (/.f64 (-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) x) (pow.f64 y #s(literal 3 binary64))) (neg.f64 x))) x)
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow y 5) x) (pow y 4)) x)) (pow y 3)) x)) (* -1 (pow y 2))) x))
(/.f64 (-.f64 (*.f64 y y) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (pow.f64 y #s(literal 5 binary64)) x) (pow.f64 y #s(literal 4 binary64))) (neg.f64 x)) (pow.f64 y #s(literal 3 binary64))) (neg.f64 x))) x)
(/ (+ 1/2 (* -1/2 (/ y x))) y)
(/.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) y)
(+ x (* -1 y))
(-.f64 x y)
(+ 1/2 (* y (- (* 1/2 (/ y (pow x 2))) (* 1/2 (/ 1 x)))))
(fma.f64 (/.f64 (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x) y #s(literal 1/2 binary64))
(+ 1/2 (* y (- (* y (+ (* -1/2 (/ y (pow x 3))) (* 1/2 (/ 1 (pow x 2))))) (* 1/2 (/ 1 x)))))
(fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x) y #s(literal -1/2 binary64)) x) y #s(literal 1/2 binary64))
(* y (+ (* -1/2 (/ y (pow x 3))) (* 1/2 (/ 1 (pow x 2)))))
(*.f64 (/.f64 (/.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x) x) y)
(* y (+ (* y (- (* 1/2 (/ y (pow x 4))) (* 1/2 (/ 1 (pow x 3))))) (* 1/2 (/ 1 (pow x 2)))))
(*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) y (/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 3 binary64)))) y (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) y)
(* y (+ (* y (- (* y (+ (* -1/2 (/ y (pow x 5))) (* 1/2 (/ 1 (pow x 4))))) (* 1/2 (/ 1 (pow x 3))))) (* 1/2 (/ 1 (pow x 2)))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 y (pow.f64 x #s(literal 5 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64)))) y (/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 3 binary64)))) y (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) y)
(/ (+ 1/2 (* y (- (* 1/2 (/ y (pow x 2))) (* 1/2 (/ 1 x))))) y)
(/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x) y #s(literal 1/2 binary64)) y)
(/ (+ 1/2 (* y (- (* y (+ (* -1/2 (/ y (pow x 3))) (* 1/2 (/ 1 (pow x 2))))) (* 1/2 (/ 1 x))))) y)
(/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x) y #s(literal -1/2 binary64)) x) y #s(literal 1/2 binary64)) y)
(* (pow y 2) (+ (* -1/2 (/ y (pow x 3))) (* 1/2 (/ 1 (pow x 2)))))
(.f64 (.f64 (/.f64 (/.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x) x) y) y)
(* (pow y 2) (+ (* y (- (* 1/2 (/ y (pow x 4))) (* 1/2 (/ 1 (pow x 3))))) (* 1/2 (/ 1 (pow x 2)))))
(.f64 (.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) y (/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 3 binary64)))) y (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) y) y)
(* (pow y 2) (+ (* y (- (* y (+ (* -1/2 (/ y (pow x 5))) (* 1/2 (/ 1 (pow x 4))))) (* 1/2 (/ 1 (pow x 3))))) (* 1/2 (/ 1 (pow x 2)))))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 y (pow.f64 x #s(literal 5 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64)))) y (/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 3 binary64)))) y (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) y) y)
(* (pow y 2) (+ (* -1 (/ y (pow x 2))) (/ 1 x)))
(.f64 (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) y) y)
(* (pow y 2) (+ (* y (- (/ y (pow x 3)) (/ 1 (pow x 2)))) (/ 1 x)))
(.f64 (fma.f64 (-.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) y (/.f64 #s(literal 1 binary64) x)) (.f64 y y))
(* (pow y 2) (+ (* y (- (* y (+ (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x)))
(.f64 (fma.f64 (fma.f64 (neg.f64 y) (/.f64 y (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) x))) y (/.f64 #s(literal 1 binary64) x)) (.f64 y y))
(* y (- (/ x y) 1))
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)
(/ (+ (* -1/2 (/ (pow x 2) y)) (* 1/2 x)) y)
(*.f64 (/.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) y) x)
(/ (+ (* -1/2 (/ (pow x 2) y)) (+ (* 1/2 x) (* 1/2 (/ (pow x 3) (pow y 2))))) y)
(/.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (.f64 x x))) y)) y)
(/ (+ (* -1/2 (/ (pow x 2) y)) (+ (* -1/2 (/ (pow x 4) (pow y 3))) (+ (* 1/2 x) (* 1/2 (/ (pow x 3) (pow y 2)))))) y)
(fma.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (/.f64 x y)) (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 x (/.f64 x y) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))))) y))
(- (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))
(-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y))
(- (+ (* 1/2 (/ x (pow y 2))) (* 1/2 (/ 1 x))) (* 1/2 (/ 1 y)))
(-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) y))
(- (+ (* -1/2 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 x))) (+ (* -1/2 (/ x (pow y 2))) (* 1/2 (/ 1 y))))
(-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (*.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal -1/2 binary64)) y) x) y)) (/.f64 #s(literal 1/2 binary64) y))
(/ (+ (* -1/2 (/ (pow x 2) y)) (* 1/2 x)) (pow y 2))
(*.f64 (/.f64 (/.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) y) y) x)
(/ (+ (* -1/2 (/ (pow x 2) y)) (+ (* 1/2 x) (* 1/2 (/ (pow x 3) (pow y 2))))) (pow y 2))
(/.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (.f64 x x))) y)) (*.f64 y y))
(/ (+ (* -1/2 (/ (pow x 2) y)) (+ (* -1/2 (/ (pow x 4) (pow y 3))) (+ (* 1/2 x) (* 1/2 (/ (pow x 3) (pow y 2)))))) (pow y 2))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (/.f64 x y)) (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 x (/.f64 x y) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))))) y)) y)
(* y (- (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) y)
(* y (- (+ (* 1/2 (/ x (pow y 2))) (* 1/2 (/ 1 x))) (* 1/2 (/ 1 y))))
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) y)) y)
(* y (- (+ (* -1/2 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 x))) (+ (* -1/2 (/ x (pow y 2))) (* 1/2 (/ 1 y)))))
(.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal -1/2 binary64)) y) x) y)) (/.f64 #s(literal 1/2 binary64) y)) y)
(* y (+ 1 (* -1 (/ x y))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y)
(* y (- (+ 1 (/ (pow x 2) (pow y 2))) (/ x y)))
(.f64 (+.f64 (/.f64 (-.f64 (.f64 x (/.f64 x y)) x) y) #s(literal 1 binary64)) y)
(* y (- (+ 1 (* -1 (/ (pow x 3) (pow y 3)))) (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y))))
(.f64 (-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) x)) y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 x y)) y)
(- (* -1 (/ (- (* -1 (/ (+ (* -1/2 x) (* 1/2 x)) y)) 1/2) y)) (* 1/2 (/ 1 x)))
(fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 0 binary64) y) #s(literal -1/2 binary64)) y) #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) x))
(- (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/2 (pow x 2))) y)) (+ (* -1/2 x) (* 1/2 x))) y)) 1/2) y)) (* 1/2 (/ 1 x)))
(fma.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 0 binary64) y)) y) #s(literal 1/2 binary64)) y) #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) x))
(* -1 (/ (+ (* -1/2 x) (* 1/2 (/ (pow x 2) y))) y))
(*.f64 (/.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) y) x)
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/2 (/ (pow x 3) y))) y)) (* -1/2 x)) y))
(/.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (.f64 x x))) y)) y)
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (pow x 3)) (* 1/2 (/ (pow x 4) y))) y)) (* -1/2 (pow x 2))) y)) (* -1/2 x)) y))
(/.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 (fma.f64 (.f64 x x) #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) y))) y)) y)) y)
(+ (* -1 (/ (+ 1/2 (* -1/2 (/ x y))) y)) (* 1/2 (/ 1 x)))
(-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) y))
(+ (* -1 (/ (+ 1/2 (* -1 (/ (- (* -1/2 (/ (pow x 2) y)) (* -1/2 x)) y))) y)) (* 1/2 (/ 1 x)))
(-.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) y) x #s(literal -1/2 binary64)) y) (/.f64 #s(literal -1/2 binary64) x))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (pow x 3) y)) (* 1/2 (pow x 2))) y)) (* 1/2 x)) (pow y 2))
(/.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (.f64 x x))) y)) (*.f64 y y))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (pow x 4) y)) (* 1/2 (pow x 3))) y)) (* 1/2 (pow x 2))) y)) (* 1/2 x)) (pow y 2))
(/.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 (fma.f64 (.f64 x x) #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) y))) y)) y)) (*.f64 y y))
(* -1 (* y (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))))
(*.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) y)) y)
(* -1 (* y (- (* -1 (/ (- (* 1/2 (/ x y)) 1/2) y)) (* 1/2 (/ 1 x)))))
(*.f64 (neg.f64 y) (-.f64 (/.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1/2 binary64) x)))
(* -1 (* y (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow x 2) y)) (* 1/2 x)) y)) 1/2) y)) (* 1/2 (/ 1 x)))))
(*.f64 (neg.f64 y) (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) y) x #s(literal -1/2 binary64)) y) #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) x)))
(* -1 (* y (- (/ x y) 1)))
(*.f64 (neg.f64 y) (-.f64 (/.f64 x y) #s(literal 1 binary64)))
(* -1 (* y (- (* -1 (/ (- (/ (pow x 2) y) x) y)) 1)))
(.f64 (neg.f64 y) (-.f64 (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) x) #s(literal 1 binary64)))
(* -1 (* y (- (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y)) x) y)) 1)))
(.f64 (neg.f64 y) (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (.f64 x x)) (neg.f64 y)) x) (neg.f64 y)) #s(literal 1 binary64)))

rewrite326.0ms (6.4%)

Memory

16.8MiB live, 437.3MiB allocated; 106ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	144
0	49	126
1	177	126
2	1365	126
0	8522	126

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

16 → 1 471

Calls

Call 1

Inputs
(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) y)
(/.f64 #s(literal 1/2 binary64) x)
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))
(/.f64 #s(literal -1/2 binary64) x)
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
(/.f64 (-.f64 x y) (*.f64 (+.f64 x x) y))
(-.f64 x y)
(*.f64 (+.f64 x x) y)
(+.f64 x x)
(-.f64 (/.f64 (/.f64 (.f64 x (/.f64 x (+.f64 y x))) (.f64 #s(literal 2 binary64) x)) y) (/.f64 (/.f64 (.f64 y (/.f64 y (+.f64 y x))) (.f64 #s(literal 2 binary64) x)) y))
(/.f64 (.f64 x (/.f64 x (+.f64 y x))) (.f64 #s(literal 2 binary64) x))
(/.f64 (/.f64 (.f64 y (/.f64 y (+.f64 y x))) (.f64 #s(literal 2 binary64) x)) y)
(/.f64 (/.f64 (.f64 x (/.f64 x (+.f64 y x))) (.f64 #s(literal 2 binary64) x)) y)
(/.f64 (.f64 y (/.f64 y (+.f64 y x))) (.f64 #s(literal 2 binary64) x))
(*.f64 y (/.f64 y (+.f64 y x)))

Outputs
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y))) (/.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y))) (fma.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y))) (/.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y))) (*.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y))) (/.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)))) (fma.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)))) (*.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64))))))))
(/.f64 (-.f64 (pow.f64 (.f64 (/.f64 x y) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 y x) (/.f64 #s(literal 1/2 binary64) y)) #s(literal 3 binary64))) (fma.f64 (.f64 (/.f64 x y) (/.f64 #s(literal 1/2 binary64) x)) (.f64 (/.f64 x y) (/.f64 #s(literal 1/2 binary64) x)) (fma.f64 (.f64 (/.f64 y x) (/.f64 #s(literal 1/2 binary64) y)) (.f64 (/.f64 y x) (/.f64 #s(literal 1/2 binary64) y)) (.f64 (.f64 (/.f64 x y) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 (/.f64 y x) (/.f64 #s(literal 1/2 binary64) y))))))
(/.f64 (neg.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) (*.f64 (neg.f64 y) #s(literal 1/2 binary64))) y)) (neg.f64 x))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x #s(literal 1/2 binary64) (.f64 (neg.f64 y) #s(literal 1/2 binary64))))) (neg.f64 (neg.f64 (.f64 x y))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal -1/2 binary64) (neg.f64 x)) (.f64 (neg.f64 y) #s(literal -1/2 binary64)))) (neg.f64 (*.f64 (neg.f64 y) (neg.f64 x))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 (neg.f64 y) #s(literal 1/2 binary64)))) (neg.f64 (*.f64 (neg.f64 y) x)))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (neg.f64 x)) (.f64 y #s(literal -1/2 binary64)))) (neg.f64 (*.f64 y (neg.f64 x))))
(/.f64 (-.f64 (.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y))) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y))))
(/.f64 (-.f64 (.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)))) (.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)))) (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)))))
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(.f64 (/.f64 (/.f64 (.f64 x x) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal 2 binary64)) (/.f64 (fma.f64 x (-.f64 x y) (.f64 y y)) (.f64 x y)))
(.f64 (/.f64 (/.f64 (.f64 x x) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) x) (/.f64 (fma.f64 x (-.f64 x y) (.f64 y y)) (neg.f64 (.f64 #s(literal 2 binary64) y))))
(.f64 (/.f64 (/.f64 (.f64 x x) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) x) (/.f64 (fma.f64 x (-.f64 x y) (.f64 y y)) (.f64 #s(literal 2 binary64) y)))
(.f64 (/.f64 x (neg.f64 x)) (/.f64 (neg.f64 (/.f64 x (+.f64 x y))) (.f64 #s(literal 2 binary64) y)))
(.f64 (/.f64 x (neg.f64 x)) (/.f64 (/.f64 x (+.f64 x y)) (.f64 #s(literal 2 binary64) y)))
(.f64 (/.f64 (/.f64 x (+.f64 x y)) (neg.f64 x)) (/.f64 (neg.f64 x) (.f64 #s(literal 2 binary64) y)))
(.f64 (/.f64 (/.f64 x (+.f64 x y)) (neg.f64 x)) (/.f64 x (.f64 #s(literal 2 binary64) y)))
(.f64 (/.f64 (neg.f64 x) #s(literal 2 binary64)) (/.f64 (/.f64 x (+.f64 x y)) (.f64 x y)))
(*.f64 (/.f64 x (neg.f64 y)) (/.f64 (/.f64 (/.f64 x (+.f64 x y)) x) #s(literal 2 binary64)))
(.f64 (/.f64 (fabs.f64 x) (+.f64 x y)) (/.f64 (fabs.f64 x) (.f64 (*.f64 #s(literal 2 binary64) y) x)))
(.f64 (/.f64 (neg.f64 x) (+.f64 x y)) (/.f64 (/.f64 x y) (.f64 #s(literal -2 binary64) x)))
(.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)) (/.f64 (neg.f64 (/.f64 x (+.f64 x y))) x))
(.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)) (/.f64 (/.f64 x (+.f64 x y)) x))
(*.f64 (/.f64 (/.f64 x (+.f64 x y)) y) (/.f64 (/.f64 x #s(literal 2 binary64)) x))
(.f64 (/.f64 (/.f64 x (+.f64 x y)) y) (/.f64 x (.f64 #s(literal -2 binary64) x)))
(.f64 (/.f64 (/.f64 x (+.f64 x y)) (.f64 #s(literal 2 binary64) y)) (/.f64 (neg.f64 x) x))
(.f64 (/.f64 (/.f64 x (+.f64 x y)) (.f64 #s(literal 2 binary64) y)) (/.f64 x x))
(*.f64 (/.f64 x y) (/.f64 (/.f64 (/.f64 x (+.f64 x y)) x) #s(literal 2 binary64)))
(.f64 (/.f64 (/.f64 x (+.f64 x y)) #s(literal 2 binary64)) (/.f64 (neg.f64 x) (.f64 x y)))
(.f64 (/.f64 (/.f64 x (+.f64 x y)) #s(literal 2 binary64)) (/.f64 x (.f64 x y)))
(*.f64 (/.f64 x x) (/.f64 (/.f64 (/.f64 x (+.f64 x y)) #s(literal 2 binary64)) y))
(.f64 (/.f64 x x) (/.f64 (neg.f64 (/.f64 x (+.f64 x y))) (.f64 #s(literal 2 binary64) y)))
(.f64 (/.f64 x x) (/.f64 (/.f64 x (+.f64 x y)) (neg.f64 (.f64 #s(literal 2 binary64) y))))
(.f64 (/.f64 x x) (/.f64 (/.f64 x (+.f64 x y)) (.f64 #s(literal 2 binary64) y)))
(.f64 (/.f64 x (.f64 #s(literal -2 binary64) x)) (/.f64 (neg.f64 (/.f64 x (+.f64 x y))) y))
(.f64 (/.f64 x (.f64 #s(literal -2 binary64) x)) (/.f64 (/.f64 x (+.f64 x y)) (neg.f64 y)))
(.f64 (/.f64 x (.f64 #s(literal -2 binary64) x)) (/.f64 (/.f64 x (+.f64 x y)) y))
(*.f64 (/.f64 (/.f64 (/.f64 x (+.f64 x y)) x) #s(literal 2 binary64)) (/.f64 (neg.f64 x) y))
(*.f64 (/.f64 (/.f64 (/.f64 x (+.f64 x y)) x) #s(literal 2 binary64)) (/.f64 x (neg.f64 y)))
(*.f64 (/.f64 (/.f64 (/.f64 x (+.f64 x y)) x) #s(literal 2 binary64)) (/.f64 x y))
(.f64 (/.f64 (/.f64 x (+.f64 x y)) x) (/.f64 (neg.f64 x) (.f64 #s(literal 2 binary64) y)))
(.f64 (/.f64 (/.f64 x (+.f64 x y)) x) (/.f64 x (neg.f64 (.f64 #s(literal 2 binary64) y))))
(*.f64 (/.f64 (/.f64 x (+.f64 x y)) x) (/.f64 (/.f64 x #s(literal 2 binary64)) y))
(.f64 (/.f64 (/.f64 x (+.f64 x y)) x) (/.f64 x (.f64 #s(literal 2 binary64) y)))
(.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 (neg.f64 (/.f64 x (+.f64 x y))) (.f64 x y)))
(.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 (/.f64 x (+.f64 x y)) (.f64 x y)))
(*.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 (/.f64 (/.f64 x (+.f64 x y)) x) y))
(.f64 (/.f64 x (+.f64 x y)) (/.f64 (/.f64 x y) (.f64 #s(literal -2 binary64) x)))
(*.f64 x (/.f64 (/.f64 (/.f64 (/.f64 x (+.f64 x y)) x) #s(literal 2 binary64)) y))
(.f64 x (/.f64 (/.f64 x (+.f64 x y)) (.f64 (*.f64 #s(literal 2 binary64) y) x)))
(/.f64 (neg.f64 (/.f64 (.f64 (/.f64 x (+.f64 x y)) x) y)) (.f64 #s(literal -2 binary64) x))
(/.f64 (neg.f64 (/.f64 (.f64 (/.f64 x (+.f64 x y)) x) x)) (neg.f64 (.f64 #s(literal 2 binary64) y)))
(/.f64 (/.f64 (.f64 (/.f64 x (+.f64 x y)) x) y) (.f64 #s(literal -2 binary64) x))
(/.f64 (/.f64 (.f64 (/.f64 x (+.f64 x y)) x) x) (.f64 #s(literal 2 binary64) y))
(/.f64 (neg.f64 (.f64 x x)) (neg.f64 (.f64 (+.f64 x y) (.f64 (.f64 #s(literal 2 binary64) y) x))))
(/.f64 (neg.f64 (/.f64 (.f64 (/.f64 x (+.f64 x y)) x) #s(literal 2 binary64))) (neg.f64 (.f64 x y)))
(/.f64 (neg.f64 (.f64 (neg.f64 x) (/.f64 x (+.f64 x y)))) (.f64 (*.f64 #s(literal 2 binary64) y) x))
(/.f64 (/.f64 (.f64 (/.f64 x (+.f64 x y)) x) #s(literal 2 binary64)) (.f64 x y))
(/.f64 (.f64 x x) (.f64 (+.f64 x y) (.f64 (.f64 #s(literal 2 binary64) y) x)))
(/.f64 (.f64 (neg.f64 x) (/.f64 x (+.f64 x y))) (.f64 (*.f64 #s(literal 2 binary64) y) x))
(/.f64 (*.f64 (/.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 x (+.f64 x y)) x)) (neg.f64 (neg.f64 (neg.f64 y))))
(/.f64 (*.f64 (/.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 x (+.f64 x y)) x)) (neg.f64 (neg.f64 y)))
(/.f64 (*.f64 (/.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 x (+.f64 x y)) x)) (neg.f64 y))
(/.f64 (*.f64 (/.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 x (+.f64 x y)) x)) y)
(/.f64 (.f64 (/.f64 x (+.f64 x y)) x) (.f64 (*.f64 #s(literal 2 binary64) y) x))
(neg.f64 (.f64 (/.f64 x (.f64 x y)) (/.f64 (/.f64 x (+.f64 x y)) #s(literal 2 binary64))))
(.f64 (/.f64 (.f64 (/.f64 y (+.f64 x y)) (/.f64 y (-.f64 y x))) #s(literal -2 binary64)) (/.f64 (-.f64 y x) x))
(.f64 (/.f64 (/.f64 (.f64 y y) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -2 binary64)) (/.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) x))
(*.f64 (/.f64 (/.f64 y (+.f64 x y)) #s(literal -2 binary64)) (/.f64 (neg.f64 y) x))
(*.f64 (/.f64 (/.f64 y (+.f64 x y)) #s(literal -2 binary64)) (/.f64 y x))
(*.f64 (/.f64 (neg.f64 y) x) (/.f64 (/.f64 y (+.f64 x y)) #s(literal -2 binary64)))
(*.f64 (/.f64 (neg.f64 y) x) (/.f64 (/.f64 y (+.f64 x y)) #s(literal 2 binary64)))
(*.f64 (/.f64 (neg.f64 (/.f64 y (+.f64 x y))) x) (/.f64 y #s(literal -2 binary64)))
(*.f64 (/.f64 (neg.f64 (/.f64 y (+.f64 x y))) x) (/.f64 y #s(literal 2 binary64)))
(*.f64 (/.f64 (neg.f64 (/.f64 y (+.f64 x y))) #s(literal 2 binary64)) (/.f64 y (neg.f64 x)))
(*.f64 (/.f64 (neg.f64 (/.f64 y (+.f64 x y))) #s(literal 2 binary64)) (/.f64 y x))
(.f64 (/.f64 (.f64 (/.f64 y (+.f64 x y)) (/.f64 y (-.f64 y x))) (neg.f64 x)) (/.f64 (-.f64 y x) #s(literal 2 binary64)))
(.f64 (/.f64 (.f64 (/.f64 y (+.f64 x y)) (/.f64 y (-.f64 y x))) #s(literal 2 binary64)) (/.f64 (-.f64 y x) (neg.f64 x)))
(.f64 (/.f64 (.f64 (/.f64 y (+.f64 x y)) (/.f64 y (-.f64 y x))) #s(literal 2 binary64)) (/.f64 (-.f64 y x) x))
(.f64 (/.f64 (.f64 (/.f64 y (+.f64 x y)) (/.f64 y (-.f64 y x))) x) (/.f64 (-.f64 y x) #s(literal -2 binary64)))
(.f64 (/.f64 (.f64 (/.f64 y (+.f64 x y)) (/.f64 y (-.f64 y x))) x) (/.f64 (-.f64 y x) #s(literal 2 binary64)))
(.f64 (/.f64 (/.f64 (.f64 y y) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 x)) (/.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) #s(literal 2 binary64)))
(.f64 (/.f64 (/.f64 (.f64 y y) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal 2 binary64)) (/.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (neg.f64 x)))
(.f64 (/.f64 (/.f64 (.f64 y y) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal 2 binary64)) (/.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) x))
(.f64 (/.f64 (/.f64 (.f64 y y) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) x) (/.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) #s(literal -2 binary64)))
(.f64 (/.f64 (/.f64 (.f64 y y) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) x) (/.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) #s(literal 2 binary64)))
(*.f64 (/.f64 (/.f64 y (+.f64 x y)) (neg.f64 x)) (/.f64 (neg.f64 y) #s(literal 2 binary64)))
(*.f64 (/.f64 (/.f64 y (+.f64 x y)) (neg.f64 x)) (/.f64 y #s(literal 2 binary64)))
(*.f64 (/.f64 y #s(literal -2 binary64)) (/.f64 (neg.f64 (/.f64 y (+.f64 x y))) x))
(*.f64 (/.f64 y #s(literal -2 binary64)) (/.f64 (/.f64 y (+.f64 x y)) x))
(*.f64 (/.f64 y (neg.f64 x)) (/.f64 (neg.f64 (/.f64 y (+.f64 x y))) #s(literal 2 binary64)))
(*.f64 (/.f64 y (neg.f64 x)) (/.f64 (/.f64 y (+.f64 x y)) #s(literal 2 binary64)))
(.f64 (/.f64 (fabs.f64 y) (+.f64 x y)) (/.f64 (fabs.f64 y) (.f64 #s(literal -2 binary64) x)))
(*.f64 (/.f64 (neg.f64 y) #s(literal 2 binary64)) (/.f64 (/.f64 y (+.f64 x y)) (neg.f64 x)))
(*.f64 (/.f64 (neg.f64 y) #s(literal 2 binary64)) (/.f64 (/.f64 y (+.f64 x y)) x))
(.f64 (/.f64 (.f64 (/.f64 y (+.f64 x y)) y) #s(literal 0 binary64)) #s(literal 0 binary64))
(.f64 (.f64 (/.f64 (/.f64 y (+.f64 x y)) #s(literal 2 binary64)) (/.f64 y (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x #s(literal 0 binary64)))
(.f64 (/.f64 (neg.f64 y) (+.f64 x y)) (/.f64 y (.f64 #s(literal -2 binary64) x)))
(*.f64 (neg.f64 (/.f64 y #s(literal 2 binary64))) (/.f64 (/.f64 y (+.f64 x y)) x))
(*.f64 (/.f64 (/.f64 y (+.f64 x y)) #s(literal 2 binary64)) (/.f64 (neg.f64 y) x))
(*.f64 (/.f64 (/.f64 y (+.f64 x y)) #s(literal 2 binary64)) (/.f64 y (neg.f64 x)))
(*.f64 (/.f64 (/.f64 y (+.f64 x y)) #s(literal 2 binary64)) (/.f64 y x))
(*.f64 (/.f64 y x) (/.f64 (/.f64 y (+.f64 x y)) #s(literal -2 binary64)))
(*.f64 (/.f64 y x) (/.f64 (neg.f64 (/.f64 y (+.f64 x y))) #s(literal 2 binary64)))
(*.f64 (/.f64 y x) (/.f64 (/.f64 y (+.f64 x y)) #s(literal 2 binary64)))
(*.f64 (/.f64 (/.f64 (/.f64 y (+.f64 x y)) x) #s(literal 2 binary64)) y)
(*.f64 (/.f64 (/.f64 y (+.f64 x y)) x) (/.f64 y #s(literal -2 binary64)))
(*.f64 (/.f64 (/.f64 y (+.f64 x y)) x) (/.f64 (neg.f64 y) #s(literal 2 binary64)))
(*.f64 (/.f64 (/.f64 y (+.f64 x y)) x) (/.f64 y #s(literal 2 binary64)))
(*.f64 (/.f64 y #s(literal 2 binary64)) (/.f64 (neg.f64 (/.f64 y (+.f64 x y))) x))
(*.f64 (/.f64 y #s(literal 2 binary64)) (/.f64 (/.f64 y (+.f64 x y)) (neg.f64 x)))
(*.f64 (/.f64 y #s(literal 2 binary64)) (neg.f64 (/.f64 (/.f64 y (+.f64 x y)) x)))
(*.f64 (/.f64 y #s(literal 2 binary64)) (/.f64 (/.f64 y (+.f64 x y)) x))
(*.f64 (neg.f64 y) (/.f64 (/.f64 (/.f64 y (+.f64 x y)) x) #s(literal 2 binary64)))
(.f64 (/.f64 y (+.f64 x y)) (/.f64 y (.f64 #s(literal -2 binary64) x)))
(*.f64 y (neg.f64 (/.f64 (/.f64 (/.f64 y (+.f64 x y)) x) #s(literal 2 binary64))))
(*.f64 y (/.f64 (/.f64 (/.f64 y (+.f64 x y)) x) #s(literal 2 binary64)))
(/.f64 (neg.f64 (*.f64 y (/.f64 (/.f64 y (+.f64 x y)) x))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 (/.f64 y #s(literal 2 binary64)) (/.f64 y (+.f64 x y)))) (neg.f64 x))
(/.f64 (neg.f64 (neg.f64 (/.f64 (*.f64 (/.f64 y (+.f64 x y)) y) #s(literal 2 binary64)))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (neg.f64 (/.f64 (*.f64 (/.f64 y (+.f64 x y)) y) #s(literal 2 binary64)))) (neg.f64 x))
(/.f64 (neg.f64 (neg.f64 (.f64 (neg.f64 y) (/.f64 y (+.f64 x y))))) (.f64 #s(literal -2 binary64) x))
(/.f64 (neg.f64 (/.f64 (*.f64 (/.f64 y (+.f64 x y)) y) x)) #s(literal -2 binary64))
(/.f64 (/.f64 (*.f64 (/.f64 y (+.f64 x y)) y) x) #s(literal 2 binary64))
(/.f64 (*.f64 y (/.f64 (/.f64 y (+.f64 x y)) x)) #s(literal 2 binary64))
(/.f64 (*.f64 (/.f64 y #s(literal 2 binary64)) (/.f64 y (+.f64 x y))) x)
(/.f64 (neg.f64 (/.f64 (*.f64 (/.f64 y (+.f64 x y)) y) #s(literal 2 binary64))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (/.f64 (*.f64 (/.f64 y (+.f64 x y)) y) #s(literal 2 binary64))) (neg.f64 x))
(/.f64 (neg.f64 (/.f64 (*.f64 (/.f64 y (+.f64 x y)) y) #s(literal 2 binary64))) x)
(/.f64 (neg.f64 (.f64 (neg.f64 y) (/.f64 y (+.f64 x y)))) (.f64 #s(literal -2 binary64) x))
(/.f64 (neg.f64 (.f64 y y)) (neg.f64 (.f64 (+.f64 x y) (*.f64 #s(literal -2 binary64) x))))
(/.f64 (/.f64 (*.f64 (/.f64 y (+.f64 x y)) y) #s(literal 2 binary64)) (neg.f64 x))
(/.f64 (/.f64 (*.f64 (/.f64 y (+.f64 x y)) y) #s(literal 2 binary64)) x)
(/.f64 (.f64 (neg.f64 y) (/.f64 y (+.f64 x y))) (.f64 #s(literal -2 binary64) x))
(/.f64 (.f64 y y) (.f64 (+.f64 x y) (*.f64 #s(literal -2 binary64) x)))
(/.f64 (.f64 (/.f64 y (+.f64 x y)) y) (.f64 #s(literal -2 binary64) x))
(neg.f64 (*.f64 (/.f64 (/.f64 y (+.f64 x y)) #s(literal -2 binary64)) (/.f64 y x)))
(.f64 (.f64 (/.f64 y (+.f64 x y)) (/.f64 y (-.f64 y x))) (-.f64 y x))
(.f64 (/.f64 (.f64 y y) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (-.f64 x y) (*.f64 y y)))
(*.f64 (/.f64 y (+.f64 x y)) y)
(*.f64 y (/.f64 y (+.f64 x y)))
(/.f64 (neg.f64 (*.f64 (neg.f64 y) y)) (neg.f64 (neg.f64 (+.f64 x y))))
(/.f64 (neg.f64 (*.f64 y (neg.f64 y))) (neg.f64 (neg.f64 (+.f64 x y))))
(/.f64 (neg.f64 (neg.f64 (*.f64 y y))) (neg.f64 (neg.f64 (+.f64 x y))))
(/.f64 (neg.f64 (*.f64 y y)) (neg.f64 (+.f64 x y)))
(/.f64 (*.f64 (neg.f64 y) y) (neg.f64 (+.f64 x y)))
(/.f64 (*.f64 y (neg.f64 y)) (neg.f64 (+.f64 x y)))
(/.f64 (*.f64 y y) (+.f64 x y))

eval258.0ms (5.1%)

Memory: -13.0MiB live, 368.5MiB allocated; 46ms collecting garbage
Compiler: Compiled 33 177 to 3 037 computations (90.8% saved)

prune34.0ms (0.7%)

Memory

10.1MiB live, 75.9MiB allocated; 25ms collecting garbage

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	1 066	2	1 068
Fresh	0	0	0
Picked	1	4	5
Done	0	0	0
Total	1 067	6	1 073

Accuracy

100.0%

Counts

1 073 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	76.4%	(/.f64 (-.f64 x y) (*.f64 (+.f64 x x) y))
▶	39.7%	(/.f64 #s(approx (- x y) (neg.f64 y)) (*.f64 (+.f64 x x) y))
✓	100.0%	(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
▶	87.7%	(.f64 (/.f64 (.f64 (/.f64 (+.f64 x y) (+.f64 x y)) (/.f64 (-.f64 x y) (-.f64 y x))) (*.f64 #s(literal 2 binary64) y)) (/.f64 (-.f64 y x) x))
✓	49.9%	#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
✓	50.5%	#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))

Compiler

Compiled 79 to 53 computations (32.9% saved)

simplify137.0ms (2.7%)

Memory

4.9MiB live, 144.6MiB allocated; 12ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (+.f64 x x) y)
cost-diff	0	(neg.f64 y)
cost-diff	0	#s(approx (- x y) (neg.f64 y))
cost-diff	0	(/.f64 #s(approx (- x y) (neg.f64 y)) (*.f64 (+.f64 x x) y))
cost-diff	2	(*.f64 (/.f64 (+.f64 x y) (+.f64 x y)) (/.f64 (-.f64 x y) (-.f64 y x)))
cost-diff	2	(/.f64 (.f64 (/.f64 (+.f64 x y) (+.f64 x y)) (/.f64 (-.f64 x y) (-.f64 y x))) (.f64 #s(literal 2 binary64) y))
cost-diff	6	(/.f64 (-.f64 x y) (-.f64 y x))
cost-diff	6	(/.f64 (+.f64 x y) (+.f64 x y))

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	19	123
0	33	93
1	70	93
2	175	93
3	557	93
4	2980	85
5	5130	65
6	8000	65
0	8036	65

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
(.f64 (/.f64 (.f64 (/.f64 (+.f64 x y) (+.f64 x y)) (/.f64 (-.f64 x y) (-.f64 y x))) (*.f64 #s(literal 2 binary64) y)) (/.f64 (-.f64 y x) x))
(/.f64 (.f64 (/.f64 (+.f64 x y) (+.f64 x y)) (/.f64 (-.f64 x y) (-.f64 y x))) (.f64 #s(literal 2 binary64) y))
(*.f64 (/.f64 (+.f64 x y) (+.f64 x y)) (/.f64 (-.f64 x y) (-.f64 y x)))
(/.f64 (+.f64 x y) (+.f64 x y))
(+.f64 x y)
x
y
(/.f64 (-.f64 x y) (-.f64 y x))
(-.f64 x y)
(-.f64 y x)
(*.f64 #s(literal 2 binary64) y)
#s(literal 2 binary64)
(/.f64 (-.f64 y x) x)
(/.f64 #s(approx (- x y) (neg.f64 y)) (*.f64 (+.f64 x x) y))
#s(approx (- x y) (neg.f64 y))
(neg.f64 y)
y
(*.f64 (+.f64 x x) y)
(+.f64 x x)
x

Outputs
(.f64 (/.f64 (.f64 (/.f64 (+.f64 x y) (+.f64 x y)) (/.f64 (-.f64 x y) (-.f64 y x))) (*.f64 #s(literal 2 binary64) y)) (/.f64 (-.f64 y x) x))
(*.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (-.f64 y x) y))
(/.f64 (.f64 (/.f64 (+.f64 x y) (+.f64 x y)) (/.f64 (-.f64 x y) (-.f64 y x))) (.f64 #s(literal 2 binary64) y))
(/.f64 #s(literal -1/2 binary64) y)
(*.f64 (/.f64 (+.f64 x y) (+.f64 x y)) (/.f64 (-.f64 x y) (-.f64 y x)))
#s(literal -1 binary64)
(/.f64 (+.f64 x y) (+.f64 x y))
#s(literal 1 binary64)
(+.f64 x y)
(+.f64 y x)
x
y
(/.f64 (-.f64 x y) (-.f64 y x))
#s(literal -1 binary64)
(-.f64 x y)
(-.f64 y x)
(*.f64 #s(literal 2 binary64) y)
#s(literal 2 binary64)
(/.f64 (-.f64 y x) x)
(/.f64 #s(approx (- x y) (neg.f64 y)) (*.f64 (+.f64 x x) y))
(/.f64 #s(approx (- x y) (neg.f64 y)) (.f64 (.f64 #s(literal 2 binary64) x) y))
#s(approx (- x y) (neg.f64 y))
(neg.f64 y)
y
(*.f64 (+.f64 x x) y)
(.f64 (.f64 #s(literal 2 binary64) x) y)
(+.f64 x x)
(*.f64 #s(literal 2 binary64) x)
x

localize140.0ms (2.7%)

Memory

25.4MiB live, 149.3MiB allocated; 44ms collecting garbage

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.0	(neg.f64 y)
accuracy	0.24162567451290762	(*.f64 (+.f64 x x) y)
accuracy	14.885304210884751	(/.f64 #s(approx (- x y) (neg.f64 y)) (*.f64 (+.f64 x x) y))
accuracy	31.67867071435569	#s(approx (- x y) (neg.f64 y))
accuracy	0.0	(*.f64 (/.f64 (+.f64 x y) (+.f64 x y)) (/.f64 (-.f64 x y) (-.f64 y x)))
accuracy	0.0	(*.f64 #s(literal 2 binary64) y)
accuracy	0.01171875	(/.f64 (-.f64 y x) x)
accuracy	7.898092923389697	(.f64 (/.f64 (.f64 (/.f64 (+.f64 x y) (+.f64 x y)) (/.f64 (-.f64 x y) (-.f64 y x))) (*.f64 #s(literal 2 binary64) y)) (/.f64 (-.f64 y x) x))

Samples

109.0ms

256×

valid

Compiler

Compiled 119 to 19 computations (84% saved)

Precisions

Click to see histograms. Total time spent on operations: 94.0ms

ival-add: 53.0ms (56.6% of total)

ival-div: 21.0ms (22.4% of total)

ival-mult: 14.0ms (15% of total)

ival-sub: 3.0ms (3.2% of total)

ival-neg: 2.0ms (2.1% of total)

adjust: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

series17.0ms (0.3%)

Memory

-13.5MiB live, 29.3MiB allocated; 11ms collecting garbage

Counts

11 → 23

Calls

Call 1

Inputs
(/.f64 (+.f64 x y) (+.f64 x y))
(/.f64 (-.f64 x y) (-.f64 y x))
(/.f64 (.f64 (/.f64 (+.f64 x y) (+.f64 x y)) (/.f64 (-.f64 x y) (-.f64 y x))) (.f64 #s(literal 2 binary64) y))
(*.f64 (/.f64 (+.f64 x y) (+.f64 x y)) (/.f64 (-.f64 x y) (-.f64 y x)))
(/.f64 #s(approx (- x y) (neg.f64 y)) (*.f64 (+.f64 x x) y))
#s(approx (- x y) (neg.f64 y))
(neg.f64 y)
(*.f64 (+.f64 x x) y)
(.f64 (/.f64 (.f64 (/.f64 (+.f64 x y) (+.f64 x y)) (/.f64 (-.f64 x y) (-.f64 y x))) (*.f64 #s(literal 2 binary64) y)) (/.f64 (-.f64 y x) x))
(/.f64 (-.f64 y x) x)
(*.f64 #s(literal 2 binary64) y)

Outputs
1
-1
(/ -1/2 y)
(/ -1/2 x)
(/ (- (* 1/2 (/ x y)) 1/2) x)
(* -1 y)
(- x y)
(* 2 (* x y))
(/ y x)
(/ (+ y (* -1 x)) x)
(/ 1/2 y)
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
x
(* x (+ 1 (* -1 (/ y x))))
(- (/ y x) 1)
(* -1 (* x (- (/ y x) 1)))
(/ (+ 1/2 (* -1/2 (/ y x))) y)
(+ x (* -1 y))
(* 2 y)
(* y (- (/ x y) 1))
(* y (- (/ 1 x) (/ 1 y)))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (- (/ 1 y) (/ 1 x))))

Calls

6 calls:

Time	Variable		Point	Expression
7.0ms	x	@	inf	((/ (+ x y) (+ x y)) (/ (- x y) (- y x)) (/ (* (/ (+ x y) (+ x y)) (/ (- x y) (- y x))) (* 2 y)) (* (/ (+ x y) (+ x y)) (/ (- x y) (- y x))) (/ (- x y) (* (+ x x) y)) (- x y) (neg y) (* (+ x x) y) (* (/ (* (/ (+ x y) (+ x y)) (/ (- x y) (- y x))) (* 2 y)) (/ (- y x) x)) (/ (- y x) x) (* 2 y))
2.0ms	y	@	0	((/ (+ x y) (+ x y)) (/ (- x y) (- y x)) (/ (* (/ (+ x y) (+ x y)) (/ (- x y) (- y x))) (* 2 y)) (* (/ (+ x y) (+ x y)) (/ (- x y) (- y x))) (/ (- x y) (* (+ x x) y)) (- x y) (neg y) (* (+ x x) y) (* (/ (* (/ (+ x y) (+ x y)) (/ (- x y) (- y x))) (* 2 y)) (/ (- y x) x)) (/ (- y x) x) (* 2 y))
2.0ms	x	@	0	((/ (+ x y) (+ x y)) (/ (- x y) (- y x)) (/ (* (/ (+ x y) (+ x y)) (/ (- x y) (- y x))) (* 2 y)) (* (/ (+ x y) (+ x y)) (/ (- x y) (- y x))) (/ (- x y) (* (+ x x) y)) (- x y) (neg y) (* (+ x x) y) (* (/ (* (/ (+ x y) (+ x y)) (/ (- x y) (- y x))) (* 2 y)) (/ (- y x) x)) (/ (- y x) x) (* 2 y))
2.0ms	y	@	inf	((/ (+ x y) (+ x y)) (/ (- x y) (- y x)) (/ (* (/ (+ x y) (+ x y)) (/ (- x y) (- y x))) (* 2 y)) (* (/ (+ x y) (+ x y)) (/ (- x y) (- y x))) (/ (- x y) (* (+ x x) y)) (- x y) (neg y) (* (+ x x) y) (* (/ (* (/ (+ x y) (+ x y)) (/ (- x y) (- y x))) (* 2 y)) (/ (- y x) x)) (/ (- y x) x) (* 2 y))
1.0ms	x	@	-inf	((/ (+ x y) (+ x y)) (/ (- x y) (- y x)) (/ (* (/ (+ x y) (+ x y)) (/ (- x y) (- y x))) (* 2 y)) (* (/ (+ x y) (+ x y)) (/ (- x y) (- y x))) (/ (- x y) (* (+ x x) y)) (- x y) (neg y) (* (+ x x) y) (* (/ (* (/ (+ x y) (+ x y)) (/ (- x y) (- y x))) (* 2 y)) (/ (- y x) x)) (/ (- y x) x) (* 2 y))

simplify160.0ms (3.1%)

Memory

-22.3MiB live, 129.3MiB allocated; 39ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	49	94
1	133	90
2	312	90
3	798	84
4	2146	84
5	4386	84
6	5997	84
7	6960	84
0	8252	84

Stop Event

1×	iter limit
1×	node limit

Counts

23 → 22

Calls

Call 1

Inputs
1
-1
(/ -1/2 y)
(/ -1/2 x)
(/ (- (* 1/2 (/ x y)) 1/2) x)
(* -1 y)
(- x y)
(* 2 (* x y))
(/ y x)
(/ (+ y (* -1 x)) x)
(/ 1/2 y)
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
x
(* x (+ 1 (* -1 (/ y x))))
(- (/ y x) 1)
(* -1 (* x (- (/ y x) 1)))
(/ (+ 1/2 (* -1/2 (/ y x))) y)
(+ x (* -1 y))
(* 2 y)
(* y (- (/ x y) 1))
(* y (- (/ 1 x) (/ 1 y)))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (- (/ 1 y) (/ 1 x))))

Outputs
1
#s(literal 1 binary64)
-1
#s(literal -1 binary64)
(/ -1/2 y)
(/.f64 #s(literal -1/2 binary64) y)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ (- (* 1/2 (/ x y)) 1/2) x)
(-.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))
(* -1 y)
(neg.f64 y)
(- x y)
(-.f64 x y)
(* 2 (* x y))
(.f64 (.f64 y x) #s(literal 2 binary64))
(/ y x)
(/.f64 y x)
(/ (+ y (* -1 x)) x)
(-.f64 (/.f64 y x) #s(literal 1 binary64))
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(-.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))
x
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
(- (/ y x) 1)
(-.f64 (/.f64 y x) #s(literal 1 binary64))
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
(/ (+ 1/2 (* -1/2 (/ y x))) y)
(-.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))
(+ x (* -1 y))
(-.f64 x y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* y (- (/ 1 x) (/ 1 y)))
(-.f64 (/.f64 y x) #s(literal 1 binary64))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(* -1 (* y (- (/ 1 y) (/ 1 x))))
(-.f64 (/.f64 y x) #s(literal 1 binary64))

rewrite48.0ms (0.9%)

Memory

25.0MiB live, 68.0MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	106
0	33	76
1	120	76
0	871	76

Stop Event

1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit

Counts

11 → 140

Calls

Call 1

Inputs
(/.f64 (+.f64 x y) (+.f64 x y))
(/.f64 (-.f64 x y) (-.f64 y x))
(/.f64 (.f64 (/.f64 (+.f64 x y) (+.f64 x y)) (/.f64 (-.f64 x y) (-.f64 y x))) (.f64 #s(literal 2 binary64) y))
(*.f64 (/.f64 (+.f64 x y) (+.f64 x y)) (/.f64 (-.f64 x y) (-.f64 y x)))
(/.f64 #s(approx (- x y) (neg.f64 y)) (*.f64 (+.f64 x x) y))
#s(approx (- x y) (neg.f64 y))
(neg.f64 y)
(*.f64 (+.f64 x x) y)
(.f64 (/.f64 (.f64 (/.f64 (+.f64 x y) (+.f64 x y)) (/.f64 (-.f64 x y) (-.f64 y x))) (*.f64 #s(literal 2 binary64) y)) (/.f64 (-.f64 y x) x))
(/.f64 (-.f64 y x) x)
(*.f64 #s(literal 2 binary64) y)

Outputs
#s(literal 1 binary64)
(.f64 (/.f64 (.f64 (/.f64 (-.f64 x y) (-.f64 y x)) (+.f64 y x)) (*.f64 (-.f64 x y) (+.f64 y x))) (-.f64 x y))
(.f64 (/.f64 (.f64 (/.f64 (-.f64 x y) (-.f64 y x)) (+.f64 y x)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 y (-.f64 y x) (*.f64 x x)))
(.f64 (/.f64 (-.f64 x y) (.f64 (-.f64 y x) (+.f64 y x))) (+.f64 y x))
(.f64 (/.f64 (-.f64 x y) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 y y (.f64 x (+.f64 y x))))
(*.f64 (/.f64 (-.f64 x y) (-.f64 y x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 y x)))
(*.f64 (+.f64 y x) (/.f64 (/.f64 (-.f64 x y) (-.f64 y x)) (+.f64 y x)))
(.f64 (+.f64 y x) (/.f64 (-.f64 x y) (.f64 (-.f64 y x) (+.f64 y x))))
(/.f64 (*.f64 (neg.f64 (-.f64 x y)) #s(literal 1 binary64)) (neg.f64 (-.f64 y x)))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x y))) (neg.f64 (-.f64 y x)))
(/.f64 (-.f64 (.f64 (/.f64 x (-.f64 y x)) (/.f64 x (-.f64 y x))) (.f64 (/.f64 y (-.f64 y x)) (/.f64 y (-.f64 y x)))) (+.f64 (/.f64 x (-.f64 y x)) (/.f64 y (-.f64 y x))))
(/.f64 (-.f64 (pow.f64 (/.f64 x (-.f64 y x)) #s(literal 3 binary64)) (pow.f64 (/.f64 y (-.f64 y x)) #s(literal 3 binary64))) (fma.f64 (/.f64 x (-.f64 y x)) (/.f64 x (-.f64 y x)) (fma.f64 (/.f64 y (-.f64 y x)) (/.f64 y (-.f64 y x)) (*.f64 (/.f64 x (-.f64 y x)) (/.f64 y (-.f64 y x))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 x y))) (neg.f64 (neg.f64 (-.f64 y x))))
(/.f64 (neg.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 y x)) (+.f64 y x))) (neg.f64 (+.f64 y x)))
(/.f64 (neg.f64 (.f64 (-.f64 x y) (+.f64 y x))) (neg.f64 (.f64 (-.f64 y x) (+.f64 y x))))
(/.f64 (-.f64 (.f64 x (-.f64 y x)) (.f64 (-.f64 y x) y)) (*.f64 (-.f64 y x) (-.f64 y x)))
(/.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 y x)) (+.f64 y x)) (+.f64 y x))
(/.f64 (.f64 (-.f64 x y) (+.f64 y x)) (.f64 (-.f64 y x) (+.f64 y x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) (-.f64 y x)))
(/.f64 (neg.f64 (-.f64 x y)) (neg.f64 (-.f64 y x)))
(/.f64 (-.f64 x y) (-.f64 y x))
(neg.f64 (/.f64 (neg.f64 (-.f64 x y)) (-.f64 y x)))
(-.f64 (/.f64 x (-.f64 y x)) (/.f64 y (-.f64 y x)))
(.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (-.f64 x y) (.f64 (-.f64 y x) #s(literal 2 binary64))))
(.f64 (/.f64 (-.f64 x y) (.f64 (-.f64 y x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) y))
(.f64 (/.f64 (-.f64 x y) (.f64 (-.f64 y x) y)) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 x y) (.f64 (-.f64 y x) y)))
(.f64 (/.f64 (/.f64 (-.f64 x y) (-.f64 y x)) (.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64))
(.f64 (/.f64 (-.f64 x y) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) y)))
(.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 x y) (-.f64 y x)) (.f64 #s(literal 2 binary64) y)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 x y) (-.f64 y x))) y)
(/.f64 (neg.f64 (/.f64 (-.f64 x y) (*.f64 (-.f64 y x) #s(literal 2 binary64)))) (neg.f64 y))
(/.f64 (/.f64 (-.f64 x y) (*.f64 (-.f64 y x) #s(literal 2 binary64))) y)
(/.f64 (.f64 (/.f64 (-.f64 x y) (-.f64 y x)) (+.f64 y x)) (.f64 (+.f64 y x) (*.f64 #s(literal 2 binary64) y)))
(/.f64 (.f64 (-.f64 x y) (+.f64 y x)) (.f64 (.f64 (-.f64 y x) (+.f64 y x)) (.f64 #s(literal 2 binary64) y)))
(/.f64 (/.f64 (-.f64 x y) (*.f64 (-.f64 y x) y)) #s(literal 2 binary64))
(/.f64 (neg.f64 (-.f64 x y)) (.f64 (neg.f64 (-.f64 y x)) (.f64 #s(literal 2 binary64) y)))
(/.f64 (/.f64 (neg.f64 (-.f64 x y)) (-.f64 y x)) (*.f64 #s(literal -2 binary64) y))
(/.f64 (/.f64 (-.f64 x y) (-.f64 y x)) (neg.f64 (*.f64 #s(literal -2 binary64) y)))
(/.f64 (/.f64 (-.f64 x y) (-.f64 y x)) (*.f64 #s(literal 2 binary64) y))
(/.f64 (-.f64 x y) (.f64 (-.f64 y x) (.f64 #s(literal 2 binary64) y)))
(neg.f64 (/.f64 (/.f64 (neg.f64 (-.f64 x y)) (-.f64 y x)) (*.f64 #s(literal 2 binary64) y)))
(neg.f64 (/.f64 (/.f64 (-.f64 x y) (-.f64 y x)) (*.f64 #s(literal -2 binary64) y)))
(-.f64 (/.f64 (/.f64 x (-.f64 y x)) (.f64 #s(literal 2 binary64) y)) (/.f64 (/.f64 y (-.f64 y x)) (.f64 #s(literal 2 binary64) y)))
(.f64 (/.f64 (.f64 (/.f64 (-.f64 x y) (-.f64 y x)) (+.f64 y x)) (*.f64 (-.f64 x y) (+.f64 y x))) (-.f64 x y))
(.f64 (/.f64 (.f64 (/.f64 (-.f64 x y) (-.f64 y x)) (+.f64 y x)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 y (-.f64 y x) (*.f64 x x)))
(.f64 (/.f64 (-.f64 x y) (.f64 (-.f64 y x) (+.f64 y x))) (+.f64 y x))
(.f64 (/.f64 (-.f64 x y) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 y y (.f64 x (+.f64 y x))))
(*.f64 (/.f64 (-.f64 x y) (-.f64 y x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 y x)))
(*.f64 (+.f64 y x) (/.f64 (/.f64 (-.f64 x y) (-.f64 y x)) (+.f64 y x)))
(.f64 (+.f64 y x) (/.f64 (-.f64 x y) (.f64 (-.f64 y x) (+.f64 y x))))
(/.f64 (*.f64 (neg.f64 (-.f64 x y)) #s(literal 1 binary64)) (neg.f64 (-.f64 y x)))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x y))) (neg.f64 (-.f64 y x)))
(/.f64 (-.f64 (.f64 (/.f64 x (-.f64 y x)) (/.f64 x (-.f64 y x))) (.f64 (/.f64 y (-.f64 y x)) (/.f64 y (-.f64 y x)))) (+.f64 (/.f64 x (-.f64 y x)) (/.f64 y (-.f64 y x))))
(/.f64 (-.f64 (pow.f64 (/.f64 x (-.f64 y x)) #s(literal 3 binary64)) (pow.f64 (/.f64 y (-.f64 y x)) #s(literal 3 binary64))) (fma.f64 (/.f64 x (-.f64 y x)) (/.f64 x (-.f64 y x)) (fma.f64 (/.f64 y (-.f64 y x)) (/.f64 y (-.f64 y x)) (*.f64 (/.f64 x (-.f64 y x)) (/.f64 y (-.f64 y x))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 x y))) (neg.f64 (neg.f64 (-.f64 y x))))
(/.f64 (neg.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 y x)) (+.f64 y x))) (neg.f64 (+.f64 y x)))
(/.f64 (neg.f64 (.f64 (-.f64 x y) (+.f64 y x))) (neg.f64 (.f64 (-.f64 y x) (+.f64 y x))))
(/.f64 (-.f64 (.f64 x (-.f64 y x)) (.f64 (-.f64 y x) y)) (*.f64 (-.f64 y x) (-.f64 y x)))
(/.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 y x)) (+.f64 y x)) (+.f64 y x))
(/.f64 (.f64 (-.f64 x y) (+.f64 y x)) (.f64 (-.f64 y x) (+.f64 y x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) (-.f64 y x)))
(/.f64 (neg.f64 (-.f64 x y)) (neg.f64 (-.f64 y x)))
(/.f64 (-.f64 x y) (-.f64 y x))
(neg.f64 (/.f64 (neg.f64 (-.f64 x y)) (-.f64 y x)))
(-.f64 (/.f64 x (-.f64 y x)) (/.f64 y (-.f64 y x)))
(/.f64 (/.f64 #s(approx (- x y) (neg.f64 y)) y) (*.f64 #s(literal 2 binary64) x))
(/.f64 (neg.f64 (/.f64 #s(approx (- x y) (neg.f64 y)) (*.f64 #s(literal 2 binary64) x))) (neg.f64 y))
(/.f64 (neg.f64 (neg.f64 #s(approx (- x y) (neg.f64 y)))) (neg.f64 (.f64 (.f64 #s(literal 2 binary64) x) (neg.f64 y))))
(/.f64 (/.f64 #s(approx (- x y) (neg.f64 y)) (*.f64 #s(literal 2 binary64) x)) y)
(/.f64 (neg.f64 #s(approx (- x y) (neg.f64 y))) (.f64 (.f64 #s(literal 2 binary64) x) (neg.f64 y)))
(/.f64 #s(approx (- x y) (neg.f64 y)) (.f64 (.f64 #s(literal 2 binary64) x) y))
(neg.f64 (/.f64 (neg.f64 #s(approx (- x y) (neg.f64 y))) (.f64 (.f64 #s(literal 2 binary64) x) y)))
(neg.f64 (/.f64 #s(approx (- x y) (neg.f64 y)) (.f64 (.f64 #s(literal 2 binary64) x) (neg.f64 y))))
#s(approx (- x y) (neg.f64 y))
(neg.f64 y)
(.f64 (.f64 #s(literal 2 binary64) x) y)
(.f64 (.f64 #s(literal 2 binary64) y) x)
(.f64 #s(literal 2 binary64) (.f64 y x))
(.f64 y (.f64 #s(literal 2 binary64) x))
(.f64 x (.f64 #s(literal 2 binary64) y))
(/.f64 (*.f64 #s(literal 0 binary64) y) #s(literal 0 binary64))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) y) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (*.f64 y #s(literal 0 binary64)) #s(literal 0 binary64))
(/.f64 (.f64 y (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x #s(literal 0 binary64)))
(fma.f64 y x (*.f64 y x))
(fma.f64 x y (*.f64 y x))
(+.f64 (.f64 y x) (.f64 y x))
(.f64 (.f64 (/.f64 (-.f64 y x) x) #s(literal 1/2 binary64)) (/.f64 (-.f64 x y) (*.f64 (-.f64 y x) y)))
(.f64 (.f64 (/.f64 (-.f64 y x) x) #s(literal 1 binary64)) (/.f64 (/.f64 (-.f64 x y) (-.f64 y x)) (*.f64 #s(literal 2 binary64) y)))
(.f64 (/.f64 (-.f64 x y) (.f64 (-.f64 y x) #s(literal 2 binary64))) (/.f64 (/.f64 (-.f64 y x) x) y))
(.f64 (/.f64 (-.f64 x y) (.f64 (-.f64 y x) y)) (/.f64 (/.f64 (-.f64 y x) x) #s(literal 2 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (-.f64 x y) (*.f64 (-.f64 y x) y)) (/.f64 (-.f64 y x) x)))
(.f64 (/.f64 (-.f64 y x) x) (/.f64 (/.f64 (-.f64 x y) (-.f64 y x)) (.f64 #s(literal 2 binary64) y)))
(.f64 (/.f64 (/.f64 (-.f64 x y) (-.f64 y x)) (.f64 #s(literal 2 binary64) y)) (/.f64 (-.f64 y x) x))
(.f64 (/.f64 (-.f64 x y) (-.f64 y x)) (/.f64 (/.f64 (-.f64 y x) x) (.f64 #s(literal 2 binary64) y)))
(.f64 (/.f64 (-.f64 x y) (-.f64 y x)) (/.f64 (-.f64 y x) (.f64 (*.f64 #s(literal 2 binary64) x) y)))
(.f64 #s(literal 1 binary64) (.f64 (/.f64 (-.f64 y x) x) (/.f64 (/.f64 (-.f64 x y) (-.f64 y x)) (*.f64 #s(literal 2 binary64) y))))
(/.f64 (/.f64 (*.f64 (/.f64 (-.f64 y x) x) (/.f64 (-.f64 x y) (-.f64 y x))) #s(literal 2 binary64)) y)
(/.f64 (/.f64 (*.f64 (/.f64 (-.f64 y x) x) (/.f64 (-.f64 x y) (-.f64 y x))) y) #s(literal 2 binary64))
(/.f64 (.f64 (neg.f64 (-.f64 y x)) (/.f64 (/.f64 (-.f64 x y) (-.f64 y x)) (.f64 #s(literal 2 binary64) y))) (neg.f64 x))
(/.f64 (.f64 (/.f64 (-.f64 x y) (.f64 (-.f64 y x) #s(literal 2 binary64))) (/.f64 (-.f64 y x) x)) y)
(/.f64 (.f64 (/.f64 (neg.f64 (-.f64 x y)) (-.f64 y x)) (/.f64 (-.f64 y x) x)) (.f64 #s(literal -2 binary64) y))
(/.f64 (.f64 (/.f64 (-.f64 y x) x) (/.f64 (-.f64 x y) (.f64 (-.f64 y x) #s(literal 2 binary64)))) y)
(/.f64 (.f64 (/.f64 (-.f64 y x) x) (/.f64 (neg.f64 (-.f64 x y)) (-.f64 y x))) (.f64 #s(literal -2 binary64) y))
(/.f64 (.f64 (/.f64 (/.f64 (-.f64 x y) (-.f64 y x)) (.f64 #s(literal 2 binary64) y)) (neg.f64 (-.f64 y x))) (neg.f64 x))
(/.f64 (neg.f64 (.f64 (/.f64 (-.f64 y x) x) (/.f64 (-.f64 x y) (-.f64 y x)))) (.f64 #s(literal -2 binary64) y))
(/.f64 (neg.f64 (.f64 (/.f64 (/.f64 (-.f64 x y) (-.f64 y x)) (.f64 #s(literal 2 binary64) y)) (-.f64 y x))) (neg.f64 x))
(/.f64 (neg.f64 (.f64 (/.f64 (-.f64 x y) (-.f64 y x)) (-.f64 y x))) (.f64 (*.f64 #s(literal 2 binary64) x) (neg.f64 y)))
(/.f64 (.f64 (neg.f64 (-.f64 y x)) (/.f64 (-.f64 x y) (.f64 (-.f64 y x) #s(literal 2 binary64)))) (*.f64 (neg.f64 x) y))
(/.f64 (.f64 (neg.f64 (-.f64 y x)) (/.f64 (neg.f64 (-.f64 x y)) (-.f64 y x))) (.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) y)))
(/.f64 (.f64 (neg.f64 (-.f64 y x)) (/.f64 (-.f64 x y) (-.f64 y x))) (.f64 (neg.f64 x) (*.f64 #s(literal 2 binary64) y)))
(/.f64 (.f64 (-.f64 y x) (/.f64 (-.f64 x y) (.f64 (-.f64 y x) #s(literal 2 binary64)))) (*.f64 y x))
(/.f64 (.f64 (-.f64 y x) (/.f64 (neg.f64 (-.f64 x y)) (-.f64 y x))) (.f64 x (*.f64 #s(literal -2 binary64) y)))
(/.f64 (.f64 (/.f64 (-.f64 x y) (.f64 (-.f64 y x) #s(literal 2 binary64))) (neg.f64 (-.f64 y x))) (*.f64 y (neg.f64 x)))
(/.f64 (.f64 (/.f64 (-.f64 x y) (.f64 (-.f64 y x) #s(literal 2 binary64))) (-.f64 y x)) (*.f64 y x))
(/.f64 (.f64 (/.f64 (neg.f64 (-.f64 x y)) (-.f64 y x)) (neg.f64 (-.f64 y x))) (.f64 (*.f64 #s(literal -2 binary64) y) (neg.f64 x)))
(/.f64 (.f64 (/.f64 (neg.f64 (-.f64 x y)) (-.f64 y x)) (-.f64 y x)) (.f64 (*.f64 #s(literal -2 binary64) y) x))
(/.f64 (.f64 (/.f64 (-.f64 x y) (-.f64 y x)) (neg.f64 (-.f64 y x))) (.f64 (*.f64 #s(literal 2 binary64) y) (neg.f64 x)))
(/.f64 (.f64 (/.f64 (-.f64 y x) x) (/.f64 (-.f64 x y) (-.f64 y x))) (.f64 #s(literal 2 binary64) y))
(/.f64 (.f64 (/.f64 (/.f64 (-.f64 x y) (-.f64 y x)) (.f64 #s(literal 2 binary64) y)) (-.f64 y x)) x)
(/.f64 (.f64 (/.f64 (-.f64 x y) (-.f64 y x)) (-.f64 y x)) (.f64 (*.f64 #s(literal 2 binary64) x) y))
(/.f64 (-.f64 (*.f64 (/.f64 y x) (/.f64 y x)) #s(literal 1 binary64)) (+.f64 (/.f64 y x) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 y x) (/.f64 y x) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 y x))) (neg.f64 (neg.f64 x)))
(/.f64 (-.f64 (.f64 y x) (.f64 x x)) (*.f64 x x))
(/.f64 (.f64 (-.f64 y x) (+.f64 y x)) (.f64 (+.f64 y x) x))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (.f64 (fma.f64 y y (.f64 x (+.f64 y x))) x))
(/.f64 (neg.f64 (-.f64 y x)) (neg.f64 x))
(/.f64 (-.f64 y x) x)
(neg.f64 (/.f64 (neg.f64 (-.f64 y x)) x))
(neg.f64 (/.f64 (-.f64 y x) (neg.f64 x)))
(-.f64 (/.f64 y x) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) y)
(*.f64 y #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 y y) (.f64 y y)) (-.f64 y y))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (-.f64 (.f64 y y) (.f64 y y))))
(+.f64 y y)

eval35.0ms (0.7%)

Memory: -18.7MiB live, 82.9MiB allocated; 15ms collecting garbage
Compiler: Compiled 2 859 to 436 computations (84.7% saved)

prune3.0ms (0.1%)

Memory

14.9MiB live, 14.9MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	127	1	128
Fresh	0	0	0
Picked	1	1	2
Done	0	4	4
Total	128	6	134

Accuracy

100.0%

Counts

134 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	76.4%	(/.f64 (-.f64 x y) (*.f64 (+.f64 x x) y))
✓	39.7%	(/.f64 #s(approx (- x y) (neg.f64 y)) (*.f64 (+.f64 x x) y))
✓	100.0%	(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
▶	87.7%	(.f64 #s(approx (/ ( (/ (+ x y) (+ x y)) (/ (- x y) (- y x))) (* 2 y)) (/.f64 #s(literal -1/2 binary64) y)) (/.f64 (-.f64 y x) x))
✓	49.9%	#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
✓	50.5%	#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))

Compiler

Compiled 83 to 57 computations (31.3% saved)

simplify154.0ms (3%)

Memory

-3.7MiB live, 195.7MiB allocated; 108ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(/.f64 (-.f64 y x) x)
cost-diff	0	(/.f64 #s(literal -1/2 binary64) y)
cost-diff	0	#s(approx (/ (* (/ (+ x y) (+ x y)) (/ (- x y) (- y x))) (* 2 y)) (/.f64 #s(literal -1/2 binary64) y))
cost-diff	0	(.f64 #s(approx (/ ( (/ (+ x y) (+ x y)) (/ (- x y) (- y x))) (* 2 y)) (/.f64 #s(literal -1/2 binary64) y)) (/.f64 (-.f64 y x) x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	66
0	21	50
1	52	50
2	95	50
3	274	50
4	1304	50
5	7440	50
0	8150	50

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
(.f64 #s(approx (/ ( (/ (+ x y) (+ x y)) (/ (- x y) (- y x))) (* 2 y)) (/.f64 #s(literal -1/2 binary64) y)) (/.f64 (-.f64 y x) x))
#s(approx (/ (* (/ (+ x y) (+ x y)) (/ (- x y) (- y x))) (* 2 y)) (/.f64 #s(literal -1/2 binary64) y))
(/.f64 #s(literal -1/2 binary64) y)
#s(literal -1/2 binary64)
y
(/.f64 (-.f64 y x) x)
(-.f64 y x)
x

Outputs
(.f64 #s(approx (/ ( (/ (+ x y) (+ x y)) (/ (- x y) (- y x))) (* 2 y)) (/.f64 #s(literal -1/2 binary64) y)) (/.f64 (-.f64 y x) x))
(.f64 (/.f64 (-.f64 y x) x) #s(approx (/ ( (/ (+ x y) (+ x y)) (/ (- x y) (- y x))) (* 2 y)) (/.f64 #s(literal -1/2 binary64) y)))
#s(approx (/ (* (/ (+ x y) (+ x y)) (/ (- x y) (- y x))) (* 2 y)) (/.f64 #s(literal -1/2 binary64) y))
(/.f64 #s(literal -1/2 binary64) y)
#s(literal -1/2 binary64)
y
(/.f64 (-.f64 y x) x)
(-.f64 y x)
x

localize63.0ms (1.2%)

Memory

-14.6MiB live, 136.1MiB allocated; 11ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 y x)
accuracy	0.0	#s(approx (/ (* (/ (+ x y) (+ x y)) (/ (- x y) (- y x))) (* 2 y)) (/.f64 #s(literal -1/2 binary64) y))
accuracy	0.01171875	(/.f64 (-.f64 y x) x)
accuracy	7.898092923389697	(.f64 #s(approx (/ ( (/ (+ x y) (+ x y)) (/ (- x y) (- y x))) (* 2 y)) (/.f64 #s(literal -1/2 binary64) y)) (/.f64 (-.f64 y x) x))

Samples

52.0ms

256×

valid

Compiler

Compiled 60 to 17 computations (71.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 44.0ms

ival-sub: 27.0ms (61.5% of total)

ival-div: 8.0ms (18.2% of total)

ival-mult: 7.0ms (15.9% of total)

ival-add: 2.0ms (4.6% of total)

ival-true: 0.0ms (0% of total)

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory

13.8MiB live, 13.8MiB allocated; 0ms collecting garbage

Counts

5 → 20

Calls

Call 1

Inputs
(.f64 #s(approx (/ ( (/ (+ x y) (+ x y)) (/ (- x y) (- y x))) (* 2 y)) (/.f64 #s(literal -1/2 binary64) y)) (/.f64 (-.f64 y x) x))
#s(approx (/ (* (/ (+ x y) (+ x y)) (/ (- x y) (- y x))) (* 2 y)) (/.f64 #s(literal -1/2 binary64) y))
(/.f64 #s(literal -1/2 binary64) y)
(/.f64 (-.f64 y x) x)
(-.f64 y x)

Outputs
(/ -1/2 x)
(/ (- (* 1/2 (/ x y)) 1/2) x)
(/ -1/2 y)
(/ y x)
(/ (+ y (* -1 x)) x)
y
(+ y (* -1 x))
(/ 1/2 y)
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
-1
(- (/ y x) 1)
(* -1 x)
(* x (- (/ y x) 1))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(/ (+ 1/2 (* -1/2 (/ y x))) y)
(- y x)
(* y (- (/ 1 x) (/ 1 y)))
(* y (+ 1 (* -1 (/ x y))))
(* -1 (* y (- (/ 1 y) (/ 1 x))))
(* -1 (* y (- (/ x y) 1)))

Calls

6 calls:

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

simplify108.0ms (2.1%)

Memory

-8.7MiB live, 125.4MiB allocated; 12ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	43	85
1	116	81
2	291	81
3	768	75
4	2550	75
5	4860	75
6	6182	75
7	7826	75
0	8011	75

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 19

Calls

Call 1

Inputs
(/ -1/2 x)
(/ (- (* 1/2 (/ x y)) 1/2) x)
(/ -1/2 y)
(/ y x)
(/ (+ y (* -1 x)) x)
y
(+ y (* -1 x))
(/ 1/2 y)
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
-1
(- (/ y x) 1)
(* -1 x)
(* x (- (/ y x) 1))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(/ (+ 1/2 (* -1/2 (/ y x))) y)
(- y x)
(* y (- (/ 1 x) (/ 1 y)))
(* y (+ 1 (* -1 (/ x y))))
(* -1 (* y (- (/ 1 y) (/ 1 x))))
(* -1 (* y (- (/ x y) 1)))

Outputs
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ (- (* 1/2 (/ x y)) 1/2) x)
(-.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))
(/ -1/2 y)
(/.f64 #s(literal -1/2 binary64) y)
(/ y x)
(/.f64 y x)
(/ (+ y (* -1 x)) x)
(/.f64 (-.f64 y x) x)
y
(+ y (* -1 x))
(-.f64 y x)
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(-.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))
-1
#s(literal -1 binary64)
(- (/ y x) 1)
(/.f64 (-.f64 y x) x)
(* -1 x)
(neg.f64 x)
(* x (- (/ y x) 1))
(-.f64 y x)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(-.f64 y x)
(/ (+ 1/2 (* -1/2 (/ y x))) y)
(-.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))
(- y x)
(-.f64 y x)
(* y (- (/ 1 x) (/ 1 y)))
(/.f64 (-.f64 y x) x)
(* y (+ 1 (* -1 (/ x y))))
(-.f64 y x)
(* -1 (* y (- (/ 1 y) (/ 1 x))))
(/.f64 (-.f64 y x) x)
(* -1 (* y (- (/ x y) 1)))
(-.f64 y x)

rewrite119.0ms (2.3%)

Memory

-1.8MiB live, 185.9MiB allocated; 24ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	63
0	21	47
1	94	47
2	582	31
0	8139	31

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

5 → 318

Calls

Call 1

Inputs
(.f64 #s(approx (/ ( (/ (+ x y) (+ x y)) (/ (- x y) (- y x))) (* 2 y)) (/.f64 #s(literal -1/2 binary64) y)) (/.f64 (-.f64 y x) x))
#s(approx (/ (* (/ (+ x y) (+ x y)) (/ (- x y) (- y x))) (* 2 y)) (/.f64 #s(literal -1/2 binary64) y))
(/.f64 #s(literal -1/2 binary64) y)
(/.f64 (-.f64 y x) x)
(-.f64 y x)

Outputs
(.f64 (/.f64 (-.f64 y x) x) #s(approx (/ ( (/ (+ x y) (+ x y)) (/ (- x y) (- y x))) (* 2 y)) (/.f64 #s(literal -1/2 binary64) y)))
(.f64 (-.f64 y x) (/.f64 #s(approx (/ ( (/ (+ x y) (+ x y)) (/ (- x y) (- y x))) (* 2 y)) (/.f64 #s(literal -1/2 binary64) y)) x))
(.f64 #s(approx (/ ( (/ (+ x y) (+ x y)) (/ (- x y) (- y x))) (* 2 y)) (/.f64 #s(literal -1/2 binary64) y)) (/.f64 (-.f64 y x) x))
(.f64 (-.f64 x y) (/.f64 #s(approx (/ ( (/ (+ x y) (+ x y)) (/ (- x y) (- y x))) (* 2 y)) (/.f64 #s(literal -1/2 binary64) y)) (neg.f64 x)))
(/.f64 (.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(approx (/ ( (/ (+ x y) (+ x y)) (/ (- x y) (- y x))) (* 2 y)) (/.f64 #s(literal -1/2 binary64) y))) (+.f64 (/.f64 y x) #s(literal 1 binary64)))
(/.f64 (.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(approx (/ ( (/ (+ x y) (+ x y)) (/ (- x y) (- y x))) (* 2 y)) (/.f64 #s(literal -1/2 binary64) y))) (+.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 y x)))
(/.f64 (.f64 (.f64 (-.f64 y x) x) #s(approx (/ (* (/ (+ x y) (+ x y)) (/ (- x y) (- y x))) (* 2 y)) (/.f64 #s(literal -1/2 binary64) y))) (*.f64 x x))
(/.f64 (.f64 #s(approx (/ ( (/ (+ x y) (+ x y)) (/ (- x y) (- y x))) (* 2 y)) (/.f64 #s(literal -1/2 binary64) y)) (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64))) (+.f64 (/.f64 y x) #s(literal 1 binary64)))
(/.f64 (.f64 #s(approx (/ ( (/ (+ x y) (+ x y)) (/ (- x y) (- y x))) (* 2 y)) (/.f64 #s(literal -1/2 binary64) y)) (-.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) (+.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 y x)))
(/.f64 (.f64 #s(approx (/ ( (/ (+ x y) (+ x y)) (/ (- x y) (- y x))) (* 2 y)) (/.f64 #s(literal -1/2 binary64) y)) (.f64 (-.f64 y x) x)) (.f64 x x))
(/.f64 (neg.f64 (.f64 #s(approx (/ ( (/ (+ x y) (+ x y)) (/ (- x y) (- y x))) (* 2 y)) (/.f64 #s(literal -1/2 binary64) y)) (-.f64 x y))) x)
(/.f64 (.f64 (.f64 (-.f64 y x) #s(approx (/ (* (/ (+ x y) (+ x y)) (/ (- x y) (- y x))) (* 2 y)) (/.f64 #s(literal -1/2 binary64) y))) (+.f64 y x)) (*.f64 (+.f64 y x) x))
(/.f64 (.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(approx (/ ( (/ (+ x y) (+ x y)) (/ (- x y) (- y x))) (* 2 y)) (/.f64 #s(literal -1/2 binary64) y))) (.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) x))
(/.f64 (.f64 #s(approx (/ ( (/ (+ x y) (+ x y)) (/ (- x y) (- y x))) (* 2 y)) (/.f64 #s(literal -1/2 binary64) y)) (-.f64 x y)) (neg.f64 x))
(/.f64 (.f64 (-.f64 y x) #s(approx (/ ( (/ (+ x y) (+ x y)) (/ (- x y) (- y x))) (* 2 y)) (/.f64 #s(literal -1/2 binary64) y))) x)
(neg.f64 (/.f64 (.f64 #s(approx (/ ( (/ (+ x y) (+ x y)) (/ (- x y) (- y x))) (* 2 y)) (/.f64 #s(literal -1/2 binary64) y)) (-.f64 x y)) x))
(neg.f64 (/.f64 (.f64 (-.f64 y x) #s(approx (/ ( (/ (+ x y) (+ x y)) (/ (- x y) (- y x))) (* 2 y)) (/.f64 #s(literal -1/2 binary64) y))) (neg.f64 x)))
(neg.f64 (.f64 #s(approx (/ ( (/ (+ x y) (+ x y)) (/ (- x y) (- y x))) (* 2 y)) (/.f64 #s(literal -1/2 binary64) y)) (/.f64 (-.f64 x y) x)))
(neg.f64 (.f64 (/.f64 (-.f64 x y) x) #s(approx (/ ( (/ (+ x y) (+ x y)) (/ (- x y) (- y x))) (* 2 y)) (/.f64 #s(literal -1/2 binary64) y))))
#s(approx (/ (* (/ (+ x y) (+ x y)) (/ (- x y) (- y x))) (* 2 y)) (/.f64 #s(literal -1/2 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y #s(literal 0 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y #s(literal 0 binary64)))
(.f64 (.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(.f64 (.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64))) #s(literal -1/2 binary64))
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(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 y x)) (.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (neg.f64 (+.f64 y x))))
(/.f64 (.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) (+.f64 y x)) (*.f64 (+.f64 y x) (+.f64 y x)))
(/.f64 (.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 y x)) (.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (+.f64 y x)))
(/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (.f64 (.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) (fma.f64 (-.f64 y x) y (.f64 x x))) (+.f64 y x)))
(/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (.f64 (fma.f64 (.f64 x x) (fma.f64 y y (*.f64 x x)) (pow.f64 y #s(literal 4 binary64))) (+.f64 y x)))
(/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 y x) y (.f64 x x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (.f64 (fma.f64 y y (.f64 x x)) (neg.f64 (+.f64 y x))))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (.f64 (fma.f64 y y (.f64 x x)) (+.f64 y x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (.f64 (fma.f64 (.f64 y y) (fma.f64 y y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (neg.f64 (+.f64 y x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (.f64 (.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) (fma.f64 (-.f64 y x) y (.f64 x x))) (neg.f64 (+.f64 y x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 (+.f64 y x) y (.f64 x x)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (+.f64 y x) y (*.f64 x x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 y #s(literal 9 binary64))) (.f64 (+.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 x #s(literal 6 binary64))) (neg.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (neg.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 y x) y (*.f64 x x)))
(/.f64 (pow.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) #s(literal 2 binary64)) (.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (neg.f64 (+.f64 y x))))
(/.f64 (.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (+.f64 y x))))
(/.f64 (.f64 (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 x y)) (+.f64 y x)) (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (+.f64 y x))))
(/.f64 (.f64 (+.f64 y x) (pow.f64 (-.f64 y x) #s(literal 2 binary64))) (fma.f64 (neg.f64 x) x (.f64 y y)))
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 x y)) (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (.f64 (neg.f64 (.f64 (+.f64 y x) (pow.f64 (-.f64 y x) #s(literal 2 binary64)))) (+.f64 y x)) (.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (+.f64 y x)))
(/.f64 (.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (neg.f64 y) y (.f64 x x))) (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 y x)))
(/.f64 (.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 y x)))
(/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (+.f64 y x))
(/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (neg.f64 (+.f64 y x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))))
(neg.f64 (-.f64 x y))
(fma.f64 (/.f64 (.f64 y y) (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 (-.f64 y x) y (.f64 x x))) (/.f64 (*.f64 (neg.f64 x) x) (+.f64 y x)))
(fma.f64 (/.f64 (fabs.f64 y) (.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (.f64 x x))) #s(literal 1 binary64))) (/.f64 (fabs.f64 y) (fma.f64 (+.f64 y x) y (.f64 x x))) (/.f64 (.f64 (neg.f64 x) x) (+.f64 y x)))
(fma.f64 (/.f64 (neg.f64 y) (.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (.f64 x x))) #s(literal 1 binary64))) (/.f64 (neg.f64 y) (fma.f64 (+.f64 y x) y (.f64 x x))) (/.f64 (.f64 (neg.f64 x) x) (+.f64 y x)))
(fma.f64 (/.f64 y (.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (.f64 x x))) #s(literal 1 binary64))) (/.f64 y (fma.f64 (+.f64 y x) y (.f64 x x))) (/.f64 (.f64 (neg.f64 x) x) (+.f64 y x)))
(fma.f64 (/.f64 (fabs.f64 y) #s(literal 1 binary64)) (/.f64 (fabs.f64 y) (+.f64 y x)) (/.f64 (*.f64 (neg.f64 x) x) (+.f64 y x)))
(fma.f64 (/.f64 (neg.f64 y) #s(literal 1 binary64)) (/.f64 (neg.f64 y) (+.f64 y x)) (/.f64 (*.f64 (neg.f64 x) x) (+.f64 y x)))
(fma.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 y (+.f64 y x)) (/.f64 (*.f64 (neg.f64 x) x) (+.f64 y x)))
(fma.f64 (/.f64 (.f64 y y) (fma.f64 (neg.f64 x) x (.f64 y y))) (-.f64 y x) (/.f64 (*.f64 (neg.f64 x) x) (+.f64 y x)))
(fma.f64 (/.f64 (.f64 y y) (fma.f64 (neg.f64 y) y (.f64 x x))) (-.f64 x y) (/.f64 (*.f64 (neg.f64 x) x) (+.f64 y x)))
(fma.f64 (/.f64 (.f64 y y) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (-.f64 y x) y (.f64 x x)) (/.f64 (*.f64 (neg.f64 x) x) (+.f64 y x)))
(fma.f64 (.f64 (/.f64 (-.f64 y x) (fma.f64 (-.f64 y x) y (.f64 x x))) #s(literal 1 binary64)) (.f64 (-.f64 y x) y) (.f64 (.f64 (/.f64 (-.f64 y x) (fma.f64 (-.f64 y x) y (.f64 x x))) #s(literal 1 binary64)) (*.f64 x x)))
(fma.f64 (.f64 (/.f64 (-.f64 y x) (fma.f64 (-.f64 y x) y (.f64 x x))) #s(literal 1 binary64)) (.f64 x x) (.f64 (.f64 (/.f64 (-.f64 y x) (fma.f64 (-.f64 y x) y (.f64 x x))) #s(literal 1 binary64)) (*.f64 (-.f64 y x) y)))
(fma.f64 (fabs.f64 y) (/.f64 (fabs.f64 y) (+.f64 y x)) (/.f64 (*.f64 (neg.f64 x) x) (+.f64 y x)))
(fma.f64 (.f64 (-.f64 y x) y) (.f64 (/.f64 (-.f64 y x) (fma.f64 (-.f64 y x) y (.f64 x x))) #s(literal 1 binary64)) (.f64 (.f64 x x) (.f64 (/.f64 (-.f64 y x) (fma.f64 (-.f64 y x) y (*.f64 x x))) #s(literal 1 binary64))))
(fma.f64 (.f64 x x) (.f64 (/.f64 (-.f64 y x) (fma.f64 (-.f64 y x) y (.f64 x x))) #s(literal 1 binary64)) (.f64 (.f64 (-.f64 y x) y) (.f64 (/.f64 (-.f64 y x) (fma.f64 (-.f64 y x) y (*.f64 x x))) #s(literal 1 binary64))))
(fma.f64 (neg.f64 y) (/.f64 (neg.f64 y) (+.f64 y x)) (/.f64 (*.f64 (neg.f64 x) x) (+.f64 y x)))
(fma.f64 y (/.f64 y (+.f64 y x)) (/.f64 (*.f64 (neg.f64 x) x) (+.f64 y x)))
(-.f64 (/.f64 (.f64 x x) (neg.f64 (+.f64 y x))) (/.f64 (.f64 y y) (neg.f64 (+.f64 y x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 (fma.f64 (+.f64 y x) y (.f64 x x)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (neg.f64 (fma.f64 (+.f64 y x) y (.f64 x x)))))
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))))
(-.f64 (.f64 y (/.f64 y (+.f64 y x))) (.f64 x (/.f64 x (+.f64 y x))))
(-.f64 y x)
(+.f64 (.f64 (.f64 (-.f64 y x) y) (.f64 (/.f64 (-.f64 y x) (fma.f64 (-.f64 y x) y (.f64 x x))) #s(literal 1 binary64))) (.f64 (.f64 x x) (.f64 (/.f64 (-.f64 y x) (fma.f64 (-.f64 y x) y (.f64 x x))) #s(literal 1 binary64))))
(+.f64 (.f64 (.f64 x x) (.f64 (/.f64 (-.f64 y x) (fma.f64 (-.f64 y x) y (.f64 x x))) #s(literal 1 binary64))) (.f64 (.f64 (-.f64 y x) y) (.f64 (/.f64 (-.f64 y x) (fma.f64 (-.f64 y x) y (.f64 x x))) #s(literal 1 binary64))))
(+.f64 (.f64 (.f64 (/.f64 (-.f64 y x) (fma.f64 (-.f64 y x) y (.f64 x x))) #s(literal 1 binary64)) (.f64 (-.f64 y x) y)) (.f64 (.f64 (/.f64 (-.f64 y x) (fma.f64 (-.f64 y x) y (.f64 x x))) #s(literal 1 binary64)) (.f64 x x)))
(+.f64 (.f64 (.f64 (/.f64 (-.f64 y x) (fma.f64 (-.f64 y x) y (.f64 x x))) #s(literal 1 binary64)) (.f64 x x)) (.f64 (.f64 (/.f64 (-.f64 y x) (fma.f64 (-.f64 y x) y (.f64 x x))) #s(literal 1 binary64)) (.f64 (-.f64 y x) y)))
(+.f64 (/.f64 (.f64 x x) (neg.f64 (+.f64 y x))) (.f64 y (/.f64 y (+.f64 y x))))
(+.f64 (.f64 y (/.f64 y (+.f64 y x))) (/.f64 (.f64 (neg.f64 x) x) (+.f64 y x)))

eval63.0ms (1.2%)

Memory: 29.8MiB live, 79.8MiB allocated; 13ms collecting garbage
Compiler: Compiled 14 503 to 1 328 computations (90.8% saved)

prune14.0ms (0.3%)

Memory

-17.5MiB live, 26.1MiB allocated; 9ms collecting garbage

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	326	0	326
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	326	6	332

Accuracy

100.0%

Counts

332 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	76.4%	(/.f64 (-.f64 x y) (*.f64 (+.f64 x x) y))
✓	39.7%	(/.f64 #s(approx (- x y) (neg.f64 y)) (*.f64 (+.f64 x x) y))
✓	100.0%	(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
✓	87.7%	(.f64 #s(approx (/ ( (/ (+ x y) (+ x y)) (/ (- x y) (- y x))) (* 2 y)) (/.f64 #s(literal -1/2 binary64) y)) (/.f64 (-.f64 y x) x))
✓	49.9%	#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
✓	50.5%	#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))

Compiler

Compiled 227 to 113 computations (50.2% saved)

regimes10.0ms (0.2%)

Memory

22.6MiB live, 22.6MiB allocated; 0ms collecting garbage

Counts

9 → 1

Calls

Call 1

Inputs
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
(/.f64 #s(approx (- x y) (neg.f64 y)) (*.f64 (+.f64 x x) y))
(/.f64 (-.f64 x y) (*.f64 (+.f64 x x) y))
(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))
(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(.f64 #s(approx (/ ( (/ (+ x y) (+ x y)) (/ (- x y) (- y x))) (* 2 y)) (/.f64 #s(literal -1/2 binary64) y)) (/.f64 (-.f64 y x) x))
(.f64 (/.f64 (.f64 (/.f64 (+.f64 x y) (+.f64 x y)) (/.f64 (-.f64 x y) (-.f64 y x))) (*.f64 #s(literal 2 binary64) y)) (/.f64 (-.f64 y x) x))
(-.f64 (/.f64 (/.f64 (.f64 x (/.f64 x (+.f64 y x))) (.f64 #s(literal 2 binary64) x)) y) (/.f64 (/.f64 (.f64 y (/.f64 y (+.f64 y x))) (.f64 #s(literal 2 binary64) x)) y))

Outputs
(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))

Calls

3 calls:

3.0ms	y
3.0ms	x
3.0ms	(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))

Results

Accuracy	Segments	Branch
100.0%	1	`(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`
100.0%	1	`x`
100.0%	1	`y`

Compiler

Compiled 11 to 11 computations (0% saved)

regimes12.0ms (0.2%)

Memory

-27.3MiB live, 16.7MiB allocated; 10ms collecting garbage

Counts

5 → 6

Calls

Call 1

Inputs
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
(/.f64 #s(approx (- x y) (neg.f64 y)) (*.f64 (+.f64 x x) y))
(/.f64 (-.f64 x y) (*.f64 (+.f64 x x) y))
(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))

Outputs
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))
(/.f64 (-.f64 x y) (*.f64 (+.f64 x x) y))
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
(/.f64 (-.f64 x y) (*.f64 (+.f64 x x) y))
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))

Calls

3 calls:

7.0ms	x
2.0ms	y
2.0ms	(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))

Results

Accuracy	Segments	Branch
85.9%	4	`(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`
87.2%	5	`x`
90.1%	6	`y`

Compiler

Compiled 11 to 11 computations (0% saved)

regimes5.0ms (0.1%)

Memory

12.4MiB live, 12.4MiB allocated; 0ms collecting garbage

Counts

3 → 3

Calls

Call 1

Inputs

#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))

#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))

(/.f64 #s(approx (- x y) (neg.f64 y)) (*.f64 (+.f64 x x) y))

Outputs

#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))

#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))

#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))

Calls

3 calls:

2.0ms	y
2.0ms	x
1.0ms	(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))

Results

Accuracy	Segments	Branch
76.2%	3	`x`
58.1%	4	`(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`
80.3%	3	`y`

Compiler

Compiled 11 to 11 computations (0% saved)

regimes4.0ms (0.1%)

Memory

10.4MiB live, 10.4MiB allocated; 0ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))

Outputs
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))

Calls

3 calls:

1.0ms	x
1.0ms	(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))
1.0ms	y

Results

Accuracy	Segments	Branch
50.5%	1	`(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`
50.5%	1	`x`
50.5%	1	`y`

Compiler

Compiled 11 to 11 computations (0% saved)

bsearch132.0ms (2.6%)

Memory

-17.8MiB live, 179.4MiB allocated; 46ms collecting garbage

Algorithm

5×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	5.0646543290888286e+163	2.5348459804331253e+176
17.0ms	5.20552132795835e+131	1.797528094813264e+137
60.0ms	1.860316681135835e-124	8.857887634906189e-122
15.0ms	-3.0098803940991227e-176	-7.058842260757561e-198
15.0ms	-1.0851504292507256e+173	-1.7366645435919772e+171

Samples

84.0ms

720×

valid

Compiler

Compiled 1 042 to 862 computations (17.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 68.0ms

ival-mult: 58.0ms (85.3% of total)

ival-sub: 4.0ms (5.9% of total)

ival-div: 4.0ms (5.9% of total)

ival-true: 1.0ms (1.5% of total)

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

bsearch32.0ms (0.6%)

Memory

27.3MiB live, 73.0MiB allocated; 9ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	6.590236321235249e-53	4.37157768626969e-46
16.0ms	-6.058882119924412e+63	-1.5886508302161358e+60

Samples

18.0ms

272×

valid

Compiler

Compiled 454 to 386 computations (15% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-sub: 6.0ms (50.5% of total)

ival-mult: 3.0ms (25.2% of total)

ival-div: 2.0ms (16.8% of total)

ival-true: 0.0ms (0% of total)

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

simplify222.0ms (4.3%)

Memory

-37.2MiB live, 107.0MiB allocated; 23ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	145
1	58	145
2	100	145
3	164	145
4	218	145
5	324	145
6	816	145
7	5716	145

Stop Event

1×	node limit

Calls

Call 1

Inputs
(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(if (<=.f64 y #s(literal -1749999999999999973082593496669911268828828491866810752121261000463082259142900948001648456279979128861517695905207621028654976908998509294358526013602550975738098416091136 binary64)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 y #s(literal -8613887886070705/145998099763910246996517491382409322396583312231953917778534160572776805350677676368189209962155884792916553906355021033942038551084014015944085162231110854024063829579528478402651974151891320832 binary64)) (/.f64 (-.f64 x y) (.f64 (+.f64 x x) y)) (if (<=.f64 y #s(literal 1119401411932767/5954262829429611647380060634218533145425030026750509549825967711687797048224955787888157087447151129073766576998532529631515456541611261952 binary64)) #s(approx (/ (- x y) ( (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) (if (<=.f64 y #s(literal 177999999999999996756278552212558606470852751361409084160627399115190202064063328183752604682454474361391368305524226878620265988818468864 binary64)) (/.f64 (-.f64 x y) (.f64 (+.f64 x x) y)) (if (<=.f64 y #s(literal 51000000000000001625352694829300338191110128093690812884008738245452666522665705111706621172326188612470073266240272564656475084269913883532003129342585351924875264 binary64)) #s(approx (/ (- x y) ( (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x)))))))
(if (<=.f64 y #s(literal -10199999999999999911923087841942956760514969947185323660279808 binary64)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 y #s(literal 8424983333484575/52656145834278593348959013841835216159447547700274555627155488768 binary64)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))))
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))

Outputs
(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(if (<=.f64 y #s(literal -1749999999999999973082593496669911268828828491866810752121261000463082259142900948001648456279979128861517695905207621028654976908998509294358526013602550975738098416091136 binary64)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 y #s(literal -8613887886070705/145998099763910246996517491382409322396583312231953917778534160572776805350677676368189209962155884792916553906355021033942038551084014015944085162231110854024063829579528478402651974151891320832 binary64)) (/.f64 (-.f64 x y) (.f64 (+.f64 x x) y)) (if (<=.f64 y #s(literal 1119401411932767/5954262829429611647380060634218533145425030026750509549825967711687797048224955787888157087447151129073766576998532529631515456541611261952 binary64)) #s(approx (/ (- x y) ( (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) (if (<=.f64 y #s(literal 177999999999999996756278552212558606470852751361409084160627399115190202064063328183752604682454474361391368305524226878620265988818468864 binary64)) (/.f64 (-.f64 x y) (.f64 (+.f64 x x) y)) (if (<=.f64 y #s(literal 51000000000000001625352694829300338191110128093690812884008738245452666522665705111706621172326188612470073266240272564656475084269913883532003129342585351924875264 binary64)) #s(approx (/ (- x y) ( (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x)))))))
(if (<=.f64 y #s(literal -10199999999999999911923087841942956760514969947185323660279808 binary64)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 y #s(literal 8424983333484575/52656145834278593348959013841835216159447547700274555627155488768 binary64)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))))
(if (or (<=.f64 y #s(literal -10199999999999999911923087841942956760514969947185323660279808 binary64)) (not (<=.f64 y #s(literal 8424983333484575/52656145834278593348959013841835216159447547700274555627155488768 binary64)))) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)))
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))

derivations457.0ms (9%)

Memory

13.2MiB live, 350.9MiB allocated; 36ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	7	20
0	11	20
1	38	20
2	216	18
3	2250	18
0	8389	18
0	40	62
1	114	62
2	279	62
3	703	56
4	2198	56
5	4139	56
6	5596	56
7	6210	56
0	8077	56

Stop Event

1×	done
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit

Compiler

Compiled 145 to 41 computations (71.7% saved)

preprocess36.0ms (0.7%)

Memory: 24.3MiB live, 68.6MiB allocated; 6ms collecting garbage
Compiler: Compiled 322 to 108 computations (66.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze44.0ms (0.9%)

sample1.1s (22.1%)

explain235.0ms (4.6%)

preprocess58.0ms (1.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify27.0ms (0.5%)

localize22.0ms (0.4%)

series23.0ms (0.5%)

simplify150.0ms (2.9%)

rewrite218.0ms (4.3%)

eval93.0ms (1.8%)

prune13.0ms (0.2%)

simplify95.0ms (1.9%)

localize161.0ms (3.2%)

series51.0ms (1%)

simplify191.0ms (3.7%)

rewrite326.0ms (6.4%)

eval258.0ms (5.1%)

prune34.0ms (0.7%)

simplify137.0ms (2.7%)

localize140.0ms (2.7%)

series17.0ms (0.3%)

simplify160.0ms (3.1%)

rewrite48.0ms (0.9%)

eval35.0ms (0.7%)

prune3.0ms (0.1%)

simplify154.0ms (3%)

localize63.0ms (1.2%)

series6.0ms (0.1%)

simplify108.0ms (2.1%)

rewrite119.0ms (2.3%)

eval63.0ms (1.2%)

prune14.0ms (0.3%)

regimes10.0ms (0.2%)

regimes12.0ms (0.2%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

bsearch132.0ms (2.6%)

bsearch32.0ms (0.6%)

simplify222.0ms (4.3%)

derivations457.0ms (9%)

preprocess36.0ms (0.7%)

end0.0ms (0%)

Profiling