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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze21.0ms (0.4%)

Memory

-27.6MiB live, 51.0MiB allocated

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)

sample656.0ms (13%)

Memory

44.2MiB live, 868.7MiB allocated

Samples

420.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 230.0ms

ival-mult: 105.0ms (45.7% of total)

ival-sub: 57.0ms (24.8% of total)

ival-div: 53.0ms (23.1% of total)

ival-true: 6.0ms (2.6% of total)

exact: 5.0ms (2.2% of total)

ival-assert: 3.0ms (1.3% of total)

Bogosity

explain148.0ms (2.9%)

Memory

-29.1MiB live, 130.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
64	-	2	(-9.180836523536412e-167 -5.078439338322202e-145)	`(/.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/u	32	0
↳	`(.f64 (.f64 x #s(literal 2 binary64)) y)`	underflow	32
`/.f64`	`(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`	n/o	30	0
↳	`(*.f64 x #s(literal 2 binary64))`	overflow	1
↳	`(.f64 (.f64 x #s(literal 2 binary64)) y)`	overflow	30
`*.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

49.0ms

512×

valid

Compiler

Compiled 82 to 32 computations (61% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-mult: 7.0ms (52.2% of total)

ival-sub: 3.0ms (22.4% of total)

ival-div: 3.0ms (22.4% of total)

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

exact: 0.0ms (0% of total)

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

preprocess54.0ms (1.1%)

Memory

27.2MiB live, 64.4MiB allocated

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: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

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)

simplify23.0ms (0.4%)

Memory

-22.5MiB live, 16.7MiB allocated

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)

localize18.0ms (0.4%)

Memory

15.8MiB live, 15.8MiB allocated

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	0.24010023243363315	(.f64 (.f64 x #s(literal 2 binary64)) y)
accuracy	14.84366597527204	(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))

Samples

13.0ms

256×

valid

Compiler

Compiled 48 to 16 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-mult: 3.0ms (46.6% of total)

ival-div: 2.0ms (31% of total)

ival-sub: 1.0ms (15.5% of total)

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

exact: 0.0ms (0% of total)

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

series9.0ms (0.2%)

Memory

3.6MiB live, 3.6MiB allocated

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
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))
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))

simplify156.0ms (3.1%)

Memory

-9.3MiB live, 110.1MiB allocated

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)

rewrite257.0ms (5.1%)

Memory

32.0MiB live, 252.4MiB allocated

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

eval84.0ms (1.7%)

Memory: -45.9MiB live, 92.8MiB allocated
Compiler: Compiled 12 062 to 1 289 computations (89.3% saved)

prune9.0ms (0.2%)

Memory

27.0MiB live, 27.0MiB allocated

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	420	7	427
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	421	7	428

Accuracy

100.0%

Counts

428 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	87.5%	(/.f64 (/.f64 (-.f64 x y) y) (*.f64 #s(literal 2 binary64) x))
▶	87.5%	(/.f64 (-.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64)) x)
▶	76.4%	(/.f64 (-.f64 x y) (*.f64 (+.f64 x x) y))
	88.0%	(-.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))
▶	99.9%	(-.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 174 to 122 computations (29.9% saved)

simplify46.0ms (0.9%)

Memory

-20.6MiB live, 17.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 #s(literal 2 binary64) y)
cost-diff	0	(/.f64 x (*.f64 #s(literal 2 binary64) y))
cost-diff	0	(-.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64))
cost-diff	2	(/.f64 (-.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64)) x)
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: 2 (0.0ms)

Iter	Nodes	Cost
0	23	102
0	35	98
1	57	98
2	90	94
3	145	94
4	164	94
5	188	94
6	308	94
7	642	94
8	857	94
9	984	94
10	1070	94
11	1098	94
0	1098	94

Stop Event

1×	iter limit
1×	saturated
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 x (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64)) x)
(-.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64))
(/.f64 x (*.f64 #s(literal 2 binary64) y))
x
(*.f64 #s(literal 2 binary64) y)
#s(literal 2 binary64)
y
#s(literal 1/2 binary64)

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

localize93.0ms (1.8%)

Memory

1.9MiB live, 79.1MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0.0	(/.f64 x (*.f64 #s(literal 2 binary64) y))
accuracy	0.0	(*.f64 #s(literal 2 binary64) y)
accuracy	0.010097509768442016	(-.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64))
accuracy	8.00927011745075	(/.f64 (-.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64)) x)
accuracy	0.0	(-.f64 x y)
accuracy	0.0	(+.f64 x x)
accuracy	0.24010023243363315	(*.f64 (+.f64 x x) y)
accuracy	14.84366597527204	(/.f64 (-.f64 x y) (*.f64 (+.f64 x x) y))
accuracy	0.0	(/.f64 #s(literal 1/2 binary64) y)
accuracy	32.053767270814724	#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	31.700643318875887	#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	0.03250753162065376	(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))

Samples

62.0ms

256×

valid

Compiler

Compiled 198 to 46 computations (76.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 48.0ms

ival-mult: 31.0ms (64.5% of total)

ival-div: 11.0ms (22.9% of total)

ival-sub: 3.0ms (6.2% of total)

ival-add: 1.0ms (2.1% of total)

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

exact: 0.0ms (0% of total)

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

series13.0ms (0.3%)

Memory

25.1MiB live, 25.1MiB allocated

Counts

14 → 23

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

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

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	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 (* 2 y)) 1/2) x) (- (/ x (* 2 y)) 1/2) (/ x (* 2 y)) (* 2 y))
2.0ms	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 (* 2 y)) 1/2) x) (- (/ x (* 2 y)) 1/2) (/ x (* 2 y)) (* 2 y))
2.0ms	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 (* 2 y)) 1/2) x) (- (/ x (* 2 y)) 1/2) (/ x (* 2 y)) (* 2 y))
2.0ms	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 (* 2 y)) 1/2) x) (- (/ x (* 2 y)) 1/2) (/ x (* 2 y)) (* 2 y))
2.0ms	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 (* 2 y)) 1/2) x) (- (/ x (* 2 y)) 1/2) (/ x (* 2 y)) (* 2 y))

simplify102.0ms (2%)

Memory

10.5MiB live, 83.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	102
1	140	102
2	361	102
3	1087	96
4	2574	96
5	4445	96
6	5681	96
7	6358	96
8	7919	96
0	8096	92

Stop Event

1×	iter limit
1×	node limit

Counts

23 → 22

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

rewrite89.0ms (1.8%)

Memory

-27.2MiB live, 61.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	86
0	35	86
1	123	86
0	756	86

Stop Event

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

Counts

14 → 103

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

Outputs
(/.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) (*.f64 (neg.f64 y) #s(literal 1/2 binary64))) y) x)
(/.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 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y))))
(/.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 (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 (fma.f64 x #s(literal 1/2 binary64) (.f64 (neg.f64 y) #s(literal 1/2 binary64)))) (neg.f64 (.f64 x y)))
(/.f64 (-.f64 (.f64 #s(literal -1/2 binary64) (neg.f64 x)) (.f64 (neg.f64 y) #s(literal -1/2 binary64))) (*.f64 (neg.f64 y) (neg.f64 x)))
(/.f64 (-.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 (neg.f64 y) #s(literal 1/2 binary64))) (*.f64 (neg.f64 y) x))
(/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (neg.f64 x)) (.f64 y #s(literal -1/2 binary64))) (*.f64 y (neg.f64 x)))
(/.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))) (+.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 3 binary64)) (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 (fma.f64 x #s(literal 1/2 binary64) (.f64 (neg.f64 y) #s(literal 1/2 binary64))) (.f64 x 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 #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 (.f64 x #s(literal 1/2 binary64)) (.f64 x y)) (/.f64 (.f64 y #s(literal 1/2 binary64)) (.f64 x y)))
(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal -1/2 binary64) (neg.f64 y))
(/.f64 #s(literal 1/2 binary64) (neg.f64 (neg.f64 y)))
(/.f64 #s(literal 1/2 binary64) y)
(neg.f64 (/.f64 #s(literal -1/2 binary64) y))
(/.f64 #s(literal -1/2 binary64) (neg.f64 x))
(/.f64 #s(literal 1/2 binary64) (neg.f64 (neg.f64 x)))
(/.f64 #s(literal 1/2 binary64) x)
(neg.f64 (/.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) (neg.f64 (neg.f64 x)))
(/.f64 #s(literal -1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) (neg.f64 x))
(neg.f64 (/.f64 #s(literal 1/2 binary64) x))
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
(/.f64 (/.f64 (-.f64 x y) x) (*.f64 #s(literal 2 binary64) y))
(/.f64 (/.f64 (-.f64 x y) y) (*.f64 #s(literal 2 binary64) x))
(/.f64 (-.f64 (.f64 (/.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)) x) (/.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)) x)) (.f64 (/.f64 y (.f64 (.f64 #s(literal 2 binary64) x) y)) (/.f64 y (.f64 (.f64 #s(literal 2 binary64) x) y)))) (+.f64 (/.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)) x) (/.f64 y (.f64 (*.f64 #s(literal 2 binary64) x) y))))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)) x) #s(literal 3 binary64)) (pow.f64 (/.f64 y (.f64 (.f64 #s(literal 2 binary64) x) y)) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)) x) (/.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)) x) (fma.f64 (/.f64 y (.f64 (.f64 #s(literal 2 binary64) x) y)) (/.f64 y (.f64 (.f64 #s(literal 2 binary64) x) y)) (.f64 (/.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)) x) (/.f64 y (.f64 (*.f64 #s(literal 2 binary64) x) y))))))
(/.f64 (neg.f64 (*.f64 (/.f64 (-.f64 x y) #s(literal 0 binary64)) #s(literal 0 binary64))) (neg.f64 y))
(/.f64 (neg.f64 (neg.f64 (-.f64 x y))) (neg.f64 (.f64 x (.f64 #s(literal -2 binary64) y))))
(/.f64 (-.f64 (.f64 x (.f64 (.f64 #s(literal 2 binary64) x) y)) (.f64 (.f64 (.f64 #s(literal 2 binary64) x) y) y)) (.f64 (.f64 (.f64 #s(literal 2 binary64) x) y) (.f64 (*.f64 #s(literal 2 binary64) x) y)))
(/.f64 (*.f64 (/.f64 (-.f64 x y) #s(literal 0 binary64)) #s(literal 0 binary64)) y)
(/.f64 (.f64 (+.f64 x y) (-.f64 x y)) (.f64 (+.f64 x y) (.f64 (.f64 #s(literal 2 binary64) x) y)))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (.f64 (fma.f64 x x (.f64 y (+.f64 x y))) (.f64 (.f64 #s(literal 2 binary64) x) y)))
(/.f64 (neg.f64 (-.f64 x y)) (.f64 x (.f64 #s(literal -2 binary64) y)))
(/.f64 (-.f64 x y) (.f64 (.f64 #s(literal 2 binary64) x) y))
(neg.f64 (/.f64 (neg.f64 (-.f64 x y)) (.f64 (.f64 #s(literal 2 binary64) x) y)))
(neg.f64 (/.f64 (-.f64 x y) (.f64 x (.f64 #s(literal -2 binary64) y))))
(-.f64 (/.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)) x) (/.f64 y (.f64 (*.f64 #s(literal 2 binary64) x) y)))
(/.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 x y))) (neg.f64 (+.f64 x y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (*.f64 y (+.f64 x y)))))
(/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (+.f64 x y))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 x x (*.f64 y (+.f64 x y))))
(-.f64 (/.f64 (.f64 x x) (+.f64 x y)) (/.f64 (.f64 y y) (+.f64 x y)))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (.f64 y (+.f64 x y)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 x x (.f64 y (+.f64 x y)))))
(-.f64 x y)
(.f64 (.f64 x y) #s(literal 2 binary64))
(.f64 (.f64 #s(literal 2 binary64) y) x)
(.f64 (.f64 #s(literal 2 binary64) x) y)
(.f64 #s(literal 2 binary64) (.f64 x y))
(.f64 x (.f64 #s(literal 2 binary64) y))
(.f64 y (.f64 #s(literal 2 binary64) x))
(/.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 x y (*.f64 x y))
(fma.f64 y x (*.f64 x y))
(+.f64 (.f64 x y) (.f64 x y))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x #s(literal 0 binary64))))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x #s(literal 0 binary64)))
(-.f64 (/.f64 (.f64 x x) #s(literal 0 binary64)) (/.f64 (.f64 x x) #s(literal 0 binary64)))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal 0 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal 0 binary64))))
(+.f64 x x)
(/.f64 (-.f64 (.f64 (/.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)) x) (/.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)) x)) (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))) (+.f64 (/.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)) x) (/.f64 #s(literal 1/2 binary64) x)))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)) x) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)) x) (/.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)) x) (+.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (.f64 (/.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) x) (/.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64)))) (neg.f64 (neg.f64 x)))
(/.f64 (-.f64 (.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)) (neg.f64 x)) (.f64 x #s(literal -1/2 binary64))) (.f64 x (neg.f64 x)))
(/.f64 (-.f64 (.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)) x) (.f64 x #s(literal 1/2 binary64))) (.f64 x x))
(/.f64 (-.f64 (pow.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 (+.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64)) x))
(/.f64 (-.f64 (pow.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (.f64 (+.f64 (fma.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (pow.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64))) x))
(/.f64 (neg.f64 (-.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64))) (neg.f64 x))
(/.f64 (-.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64)) x)
(neg.f64 (/.f64 (neg.f64 (-.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64))) x))
(neg.f64 (/.f64 (-.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64)) (neg.f64 x)))
(-.f64 (/.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) x) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (neg.f64 (+.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (+.f64 (fma.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (pow.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (+.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 (fma.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (pow.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)) (+.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64))))
(-.f64 (/.f64 (pow.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 3 binary64)) (+.f64 (fma.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (pow.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)))) (/.f64 #s(literal 1/8 binary64) (+.f64 (fma.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (pow.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)))))
(-.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64))
(/.f64 (/.f64 x y) #s(literal 2 binary64))
(/.f64 (neg.f64 (/.f64 x #s(literal 2 binary64))) (neg.f64 y))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (*.f64 #s(literal -2 binary64) y)))
(/.f64 (/.f64 x #s(literal 2 binary64)) y)
(/.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) y))
(/.f64 x (*.f64 #s(literal 2 binary64) y))
(neg.f64 (/.f64 (neg.f64 x) (*.f64 #s(literal 2 binary64) y)))
(neg.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y)))
(*.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)

eval12.0ms (0.2%)

Memory: 12.2MiB live, 12.2MiB allocated
Compiler: Compiled 1 851 to 373 computations (79.8% saved)

prune6.0ms (0.1%)

Memory

9.2MiB live, 9.2MiB allocated

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	116	3	119
Fresh	0	2	2
Picked	1	4	5
Done	0	0	0
Total	117	9	126

Accuracy

100.0%

Counts

126 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	87.5%	(/.f64 (/.f64 (-.f64 x y) y) (*.f64 #s(literal 2 binary64) x))
▶	72.2%	(/.f64 (-.f64 (pow.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 (+.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64)) x))
▶	87.5%	(/.f64 (-.f64 (/.f64 x (+.f64 y y)) #s(literal 1/2 binary64)) x)
✓	76.4%	(/.f64 (-.f64 x y) (*.f64 (+.f64 x x) y))
▶	39.1%	(/.f64 #s(approx (- x y) (neg.f64 y)) (*.f64 (+.f64 x x) y))
▶	88.0%	(-.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))
✓	99.9%	(-.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 194 to 128 computations (34% saved)

simplify211.0ms (4.2%)

Memory

17.2MiB live, 203.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64))
cost-diff	0	(-.f64 (pow.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)) #s(literal 1/4 binary64))
cost-diff	0	(/.f64 (-.f64 (pow.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 (+.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64)) x))
cost-diff	1	(+.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64))
cost-diff	0	(*.f64 #s(literal 2 binary64) x)
cost-diff	0	(-.f64 x y)
cost-diff	0	(/.f64 (-.f64 x y) y)
cost-diff	2	(/.f64 (/.f64 (-.f64 x y) y) (*.f64 #s(literal 2 binary64) x))
cost-diff	0	(+.f64 y y)
cost-diff	0	(/.f64 x (+.f64 y y))
cost-diff	1	(-.f64 (/.f64 x (+.f64 y y)) #s(literal 1/2 binary64))
cost-diff	1	(/.f64 (-.f64 (/.f64 x (+.f64 y y)) #s(literal 1/2 binary64)) x)
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	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	5	(-.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))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	252
0	65	252
1	121	248
2	276	228
3	782	228
4	2910	224
5	6932	223
0	8099	219

Stop Event

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

Calls

Call 1

Inputs
(-.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))
(/.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
(/.f64 (-.f64 (/.f64 x (+.f64 y y)) #s(literal 1/2 binary64)) x)
(-.f64 (/.f64 x (+.f64 y y)) #s(literal 1/2 binary64))
(/.f64 x (+.f64 y y))
x
(+.f64 y y)
y
#s(literal 1/2 binary64)
(/.f64 (/.f64 (-.f64 x y) y) (*.f64 #s(literal 2 binary64) x))
(/.f64 (-.f64 x y) y)
(-.f64 x y)
x
y
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
(/.f64 (-.f64 (pow.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 (+.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64)) x))
(-.f64 (pow.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64))
(/.f64 x (*.f64 #s(literal 2 binary64) y))
x
(*.f64 #s(literal 2 binary64) y)
#s(literal 2 binary64)
y
#s(literal 1/4 binary64)
(.f64 (+.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64)) x)
(+.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)

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

localize175.0ms (3.5%)

Memory

-33.0MiB live, 175.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 #s(literal 2 binary64) y)
accuracy	0.06640625	(.f64 (+.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64)) x)
accuracy	0.22494125976844204	(pow.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64))
accuracy	17.405264622807753	(/.f64 (-.f64 (pow.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 (+.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64)) x))
accuracy	0.0	(-.f64 x y)
accuracy	0.0	(*.f64 #s(literal 2 binary64) x)
accuracy	0.015625	(/.f64 (-.f64 x y) y)
accuracy	8.023230634259024	(/.f64 (/.f64 (-.f64 x y) y) (*.f64 #s(literal 2 binary64) x))
accuracy	0.0	(/.f64 x (+.f64 y y))
accuracy	0.0	(+.f64 y y)
accuracy	0.010097509768442016	(-.f64 (/.f64 x (+.f64 y y)) #s(literal 1/2 binary64))
accuracy	8.00927011745075	(/.f64 (-.f64 (/.f64 x (+.f64 y y)) #s(literal 1/2 binary64)) x)
accuracy	0.0	(neg.f64 y)
accuracy	0.24010023243363315	(*.f64 (+.f64 x x) y)
accuracy	14.84366597527204	(/.f64 #s(approx (- x y) (neg.f64 y)) (*.f64 (+.f64 x x) y))
accuracy	31.661682720878204	#s(approx (- x y) (neg.f64 y))
accuracy	0.09375	(*.f64 x (/.f64 x (+.f64 y x)))
accuracy	1.6855071103508716	(/.f64 (.f64 y (/.f64 y (+.f64 y x))) (.f64 #s(literal 2 binary64) x))
accuracy	6.669676453962107	(/.f64 (.f64 x (/.f64 x (+.f64 y x))) (.f64 #s(literal 2 binary64) x))
accuracy	10.313662579831444	(/.f64 (/.f64 (.f64 y (/.f64 y (+.f64 y x))) (.f64 #s(literal 2 binary64) x)) y)

Samples

134.0ms

256×

valid

Compiler

Compiled 500 to 72 computations (85.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 80.0ms

ival-div: 58.0ms (72.7% of total)

ival-mult: 9.0ms (11.3% of total)

ival-add: 5.0ms (6.3% of total)

ival-sub: 4.0ms (5% of total)

ival-pow2: 2.0ms (2.5% of total)

ival-neg: 1.0ms (1.3% of total)

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

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

exact: 0.0ms (0% of total)

series50.0ms (1%)

Memory

1.9MiB live, 48.4MiB allocated

Counts

24 → 132

Calls

Call 1

Inputs
(-.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 #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 x (+.f64 y y)) #s(literal 1/2 binary64)) x)
(-.f64 (/.f64 x (+.f64 y y)) #s(literal 1/2 binary64))
(/.f64 x (+.f64 y y))
(+.f64 y y)
(/.f64 (/.f64 (-.f64 x y) y) (*.f64 #s(literal 2 binary64) x))
(/.f64 (-.f64 x y) y)
(-.f64 x y)
(*.f64 #s(literal 2 binary64) x)
(+.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 (+.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64)) x))
(-.f64 (pow.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64))
(/.f64 (.f64 y (/.f64 y (+.f64 y x))) (.f64 #s(literal 2 binary64) x))
(*.f64 x (/.f64 x (+.f64 y x)))
(.f64 (+.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64)) x)
(*.f64 #s(literal 2 binary64) y)

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

Calls

6 calls:

Time	Variable		Point	Expression
13.0ms	y	@	0	((- (/ (/ (* 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) (/ (- x y) (* (+ x x) y)) (- x y) (neg y) (* (+ x x) y) (/ (- (/ x (+ y y)) 1/2) x) (- (/ x (+ y y)) 1/2) (/ x (+ y y)) (+ y y) (/ (/ (- x y) y) (* 2 x)) (/ (- x y) y) (- x y) (* 2 x) (+ (/ x (* 2 y)) 1/2) (/ (- (pow (/ x (* 2 y)) 2) 1/4) (* (+ (/ x (* 2 y)) 1/2) x)) (- (pow (/ x (* 2 y)) 2) 1/4) (pow (/ x (* 2 y)) 2) (/ (* y (/ y (+ y x))) (* 2 x)) (* x (/ x (+ y x))) (* (+ (/ x (* 2 y)) 1/2) x) (* 2 y))
10.0ms	y	@	inf	((- (/ (/ (* 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) (/ (- x y) (* (+ x x) y)) (- x y) (neg y) (* (+ x x) y) (/ (- (/ x (+ y y)) 1/2) x) (- (/ x (+ y y)) 1/2) (/ x (+ y y)) (+ y y) (/ (/ (- x y) y) (* 2 x)) (/ (- x y) y) (- x y) (* 2 x) (+ (/ x (* 2 y)) 1/2) (/ (- (pow (/ x (* 2 y)) 2) 1/4) (* (+ (/ x (* 2 y)) 1/2) x)) (- (pow (/ x (* 2 y)) 2) 1/4) (pow (/ x (* 2 y)) 2) (/ (* y (/ y (+ y x))) (* 2 x)) (* x (/ x (+ y x))) (* (+ (/ x (* 2 y)) 1/2) x) (* 2 y))
8.0ms	x	@	0	((- (/ (/ (* 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) (/ (- x y) (* (+ x x) y)) (- x y) (neg y) (* (+ x x) y) (/ (- (/ x (+ y y)) 1/2) x) (- (/ x (+ y y)) 1/2) (/ x (+ y y)) (+ y y) (/ (/ (- x y) y) (* 2 x)) (/ (- x y) y) (- x y) (* 2 x) (+ (/ x (* 2 y)) 1/2) (/ (- (pow (/ x (* 2 y)) 2) 1/4) (* (+ (/ x (* 2 y)) 1/2) x)) (- (pow (/ x (* 2 y)) 2) 1/4) (pow (/ x (* 2 y)) 2) (/ (* y (/ y (+ y x))) (* 2 x)) (* x (/ x (+ y x))) (* (+ (/ x (* 2 y)) 1/2) x) (* 2 y))
7.0ms	x	@	inf	((- (/ (/ (* 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) (/ (- x y) (* (+ x x) y)) (- x y) (neg y) (* (+ x x) y) (/ (- (/ x (+ y y)) 1/2) x) (- (/ x (+ y y)) 1/2) (/ x (+ y y)) (+ y y) (/ (/ (- x y) y) (* 2 x)) (/ (- x y) y) (- x y) (* 2 x) (+ (/ x (* 2 y)) 1/2) (/ (- (pow (/ x (* 2 y)) 2) 1/4) (* (+ (/ x (* 2 y)) 1/2) x)) (- (pow (/ x (* 2 y)) 2) 1/4) (pow (/ x (* 2 y)) 2) (/ (* y (/ y (+ y x))) (* 2 x)) (* x (/ x (+ y x))) (* (+ (/ x (* 2 y)) 1/2) x) (* 2 y))
5.0ms	x	@	-inf	((- (/ (/ (* 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) (/ (- x y) (* (+ x x) y)) (- x y) (neg y) (* (+ x x) y) (/ (- (/ x (+ y y)) 1/2) x) (- (/ x (+ y y)) 1/2) (/ x (+ y y)) (+ y y) (/ (/ (- x y) y) (* 2 x)) (/ (- x y) y) (- x y) (* 2 x) (+ (/ x (* 2 y)) 1/2) (/ (- (pow (/ x (* 2 y)) 2) 1/4) (* (+ (/ x (* 2 y)) 1/2) x)) (- (pow (/ x (* 2 y)) 2) 1/4) (pow (/ x (* 2 y)) 2) (/ (* y (/ y (+ y x))) (* 2 x)) (* x (/ x (+ y x))) (* (+ (/ x (* 2 y)) 1/2) x) (* 2 y))

simplify179.0ms (3.6%)

Memory

16.2MiB live, 122.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	492	1997
1	1603	1862
2	5230	1818
0	8411	1709

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 131

Calls

Call 1

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

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

rewrite811.0ms (16.1%)

Memory

-35.8MiB live, 515.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	205
0	65	253
1	245	161
2	1888	161
0	8381	159

Stop Event

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

Counts

24 → 5 897

Calls

Call 1

Inputs
(-.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 #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 x (+.f64 y y)) #s(literal 1/2 binary64)) x)
(-.f64 (/.f64 x (+.f64 y y)) #s(literal 1/2 binary64))
(/.f64 x (+.f64 y y))
(+.f64 y y)
(/.f64 (/.f64 (-.f64 x y) y) (*.f64 #s(literal 2 binary64) x))
(/.f64 (-.f64 x y) y)
(-.f64 x y)
(*.f64 #s(literal 2 binary64) x)
(+.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 (+.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64)) x))
(-.f64 (pow.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64))
(/.f64 (.f64 y (/.f64 y (+.f64 y x))) (.f64 #s(literal 2 binary64) x))
(*.f64 x (/.f64 x (+.f64 y x)))
(.f64 (+.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64)) x)
(*.f64 #s(literal 2 binary64) y)

Outputs
(*.f64 (/.f64 (/.f64 (-.f64 x y) y) #s(literal 0 binary64)) #s(literal 0 binary64))
(.f64 (/.f64 (/.f64 (-.f64 x y) y) (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x #s(literal 0 binary64)))
(.f64 (/.f64 (-.f64 (pow.f64 (/.f64 x (.f64 #s(literal -2 binary64) y)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x #s(literal 0 binary64)) #s(literal 3 binary64)) #s(literal 0 binary64) #s(literal 1/8 binary64))) (fma.f64 (pow.f64 (/.f64 x #s(literal 0 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64) (fma.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/4 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 (/.f64 x (.f64 #s(literal -2 binary64) y)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (pow.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (/.f64 (/.f64 (-.f64 x y) #s(literal 2 binary64)) x))
(/.f64 (neg.f64 (/.f64 (-.f64 (pow.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) x)) (neg.f64 (fma.f64 (/.f64 x #s(literal 0 binary64)) #s(literal 0 binary64) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (/.f64 (/.f64 (-.f64 x y) y) x)) #s(literal -2 binary64))
(/.f64 (neg.f64 (/.f64 (/.f64 (-.f64 (.f64 (.f64 (/.f64 x (+.f64 y x)) x) y) (.f64 y (.f64 (/.f64 y (+.f64 y x)) y))) (*.f64 #s(literal -2 binary64) y)) y)) (neg.f64 y))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y)) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (/.f64 x #s(literal 0 binary64)) #s(literal 0 binary64) (/.f64 #s(literal 1/2 binary64) x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (pow.f64 (/.f64 x (.f64 #s(literal -2 binary64) y)) #s(literal 2 binary64)) x) (fma.f64 (/.f64 x #s(literal 0 binary64)) #s(literal 0 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) x) (fma.f64 (/.f64 x #s(literal 0 binary64)) #s(literal 0 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 (/.f64 (pow.f64 (/.f64 x (.f64 #s(literal -2 binary64) y)) #s(literal 2 binary64)) x) (fma.f64 (/.f64 x #s(literal 0 binary64)) #s(literal 0 binary64) #s(literal 1/2 binary64))) (/.f64 (/.f64 #s(literal 1/4 binary64) x) (fma.f64 (/.f64 x #s(literal 0 binary64)) #s(literal 0 binary64) #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x (.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 (pow.f64 (/.f64 x #s(literal 0 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64) (+.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y)) (/.f64 #s(literal 1/2 binary64) x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (pow.f64 (/.f64 x (.f64 #s(literal -2 binary64) y)) #s(literal 2 binary64)) x) (fma.f64 (/.f64 x #s(literal 0 binary64)) #s(literal 0 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) x) (fma.f64 (/.f64 x #s(literal 0 binary64)) #s(literal 0 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (/.f64 (pow.f64 (/.f64 x (.f64 #s(literal -2 binary64) y)) #s(literal 2 binary64)) x) (fma.f64 (/.f64 x #s(literal 0 binary64)) #s(literal 0 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) x) (fma.f64 (/.f64 x #s(literal 0 binary64)) #s(literal 0 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (.f64 (/.f64 (/.f64 (pow.f64 (/.f64 x (.f64 #s(literal -2 binary64) y)) #s(literal 2 binary64)) x) (fma.f64 (/.f64 x #s(literal 0 binary64)) #s(literal 0 binary64) #s(literal 1/2 binary64))) (/.f64 (/.f64 #s(literal 1/4 binary64) x) (fma.f64 (/.f64 x #s(literal 0 binary64)) #s(literal 0 binary64) #s(literal 1/2 binary64))))))))
(/.f64 (neg.f64 (fma.f64 (/.f64 x (+.f64 y x)) x (.f64 (/.f64 y (+.f64 y x)) y))) (.f64 #s(literal -2 binary64) y))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x (.f64 #s(literal -2 binary64) y)) #s(literal 2 binary64)) #s(literal 1/4 binary64))))) (neg.f64 (neg.f64 (.f64 (neg.f64 x) (fma.f64 (/.f64 x #s(literal 0 binary64)) #s(literal 0 binary64) #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x (.f64 #s(literal -2 binary64) y)) #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 x #s(literal 0 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64) (fma.f64 (/.f64 x (.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/4 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x (.f64 #s(literal -2 binary64) y)) #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (fma.f64 (pow.f64 (/.f64 x #s(literal 0 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64) (fma.f64 (/.f64 x (.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/4 binary64)))))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (/.f64 (/.f64 (-.f64 x y) #s(literal 2 binary64)) x) #s(literal 2 binary64)))) (/.f64 (/.f64 (-.f64 x y) #s(literal 2 binary64)) x))
(/.f64 (neg.f64 (neg.f64 (/.f64 (-.f64 (pow.f64 (.f64 (/.f64 x (+.f64 y x)) x) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 y (+.f64 y x)) y) #s(literal 3 binary64))) (.f64 #s(literal -2 binary64) y)))) (neg.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (/.f64 (-.f64 x y) #s(literal 2 binary64)) x) #s(literal 2 binary64)) (/.f64 (.f64 (.f64 (/.f64 x (+.f64 y x)) x) (.f64 (/.f64 y (+.f64 y x)) y)) (pow.f64 (*.f64 #s(literal -2 binary64) y) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (/.f64 (-.f64 (.f64 (.f64 (/.f64 x (+.f64 y x)) x) y) (.f64 y (.f64 (/.f64 y (+.f64 y x)) y))) (.f64 #s(literal -2 binary64) y)))) (neg.f64 (neg.f64 (.f64 y y))))
(/.f64 (neg.f64 (-.f64 (.f64 (/.f64 x (.f64 #s(literal -2 binary64) y)) x) (.f64 x #s(literal 1/2 binary64)))) (neg.f64 (.f64 x x)))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 (/.f64 x (.f64 #s(literal -2 binary64) y)) #s(literal 2 binary64)) (.f64 (fma.f64 (/.f64 x #s(literal 0 binary64)) #s(literal 0 binary64) #s(literal 1/2 binary64)) x)) (.f64 (.f64 (fma.f64 (/.f64 x #s(literal 0 binary64)) #s(literal 0 binary64) #s(literal 1/2 binary64)) x) #s(literal 1/4 binary64)))) (neg.f64 (pow.f64 (.f64 (fma.f64 (/.f64 x #s(literal 0 binary64)) #s(literal 0 binary64) #s(literal 1/2 binary64)) x) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 (/.f64 (.f64 (/.f64 x (+.f64 y x)) x) #s(literal 0 binary64)) #s(literal 0 binary64)) (neg.f64 y)) (.f64 (neg.f64 y) (.f64 (/.f64 (.f64 (/.f64 y (+.f64 y x)) y) #s(literal 0 binary64)) #s(literal 0 binary64))))) (neg.f64 (*.f64 y y)))
(/.f64 (neg.f64 (-.f64 (.f64 (/.f64 x #s(literal 2 binary64)) (.f64 (/.f64 (/.f64 x (+.f64 y x)) x) y)) (.f64 (neg.f64 y) (.f64 (/.f64 (.f64 (/.f64 y (+.f64 y x)) y) #s(literal 0 binary64)) #s(literal 0 binary64))))) (neg.f64 (.f64 (neg.f64 y) y)))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 (/.f64 (.f64 (/.f64 x (+.f64 y x)) x) #s(literal 0 binary64)) #s(literal 0 binary64)) (.f64 #s(literal -2 binary64) y)) (.f64 (neg.f64 y) (.f64 (/.f64 y (+.f64 y x)) y)))) (*.f64 #s(literal -2 binary64) y))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 (/.f64 (.f64 (/.f64 x (+.f64 y x)) x) #s(literal 0 binary64)) #s(literal 0 binary64)) (neg.f64 y)) (.f64 (.f64 y (/.f64 y #s(literal 2 binary64))) (/.f64 (/.f64 y (+.f64 y x)) x)))) (neg.f64 (.f64 y (neg.f64 y))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 (/.f64 (.f64 (/.f64 x (+.f64 y x)) x) #s(literal 0 binary64)) #s(literal 0 binary64)) (.f64 #s(literal -2 binary64) y)) (.f64 y (.f64 (/.f64 y (+.f64 y x)) y)))) (*.f64 #s(literal -2 binary64) y))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 (/.f64 x (+.f64 y x)) x) (neg.f64 y)) (.f64 (.f64 #s(literal -2 binary64) y) (.f64 (/.f64 (.f64 (/.f64 y (+.f64 y x)) y) #s(literal 0 binary64)) #s(literal 0 binary64))))) (*.f64 #s(literal -2 binary64) y))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 (/.f64 x (+.f64 y x)) x) y) (.f64 (.f64 #s(literal -2 binary64) y) (.f64 (/.f64 (.f64 (/.f64 y (+.f64 y x)) y) #s(literal 0 binary64)) #s(literal 0 binary64))))) (*.f64 #s(literal -2 binary64) y))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 (/.f64 x (+.f64 y x)) x) (.f64 #s(literal -2 binary64) y)) (.f64 (.f64 #s(literal -2 binary64) y) (.f64 (/.f64 y (+.f64 y x)) y)))) (neg.f64 (pow.f64 (*.f64 #s(literal -2 binary64) y) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (.f64 (/.f64 (.f64 (/.f64 x (+.f64 y x)) x) #s(literal 2 binary64)) x) (.f64 x (/.f64 (.f64 (/.f64 y (+.f64 y x)) y) #s(literal 2 binary64))))) (neg.f64 (*.f64 x x)))
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(.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 8 binary64))
(*.f64 #s(literal -2 binary64) y)
(*.f64 #s(literal -2 binary64) x)
(.f64 (pow.f64 (.f64 #s(literal -2 binary64) y) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) y))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64))
(*.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) #s(literal 8 binary64))
(.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (.f64 #s(literal -2 binary64) y))
(.f64 (.f64 y x) #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -8 binary64))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64))
(.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 #s(literal -2 binary64) y))
(*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -8 binary64))
(*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 8 binary64))
(.f64 (pow.f64 y #s(literal 3 binary64)) (.f64 #s(literal -2 binary64) y))
(*.f64 (neg.f64 x) #s(literal 2 binary64))
(.f64 (neg.f64 y) (.f64 #s(literal -2 binary64) y))
(*.f64 (neg.f64 y) #s(literal 2 binary64))
(.f64 (.f64 #s(literal -2 binary64) y) (pow.f64 (*.f64 #s(literal -2 binary64) y) #s(literal 2 binary64)))
(.f64 (.f64 #s(literal -2 binary64) y) (pow.f64 (neg.f64 y) #s(literal 3 binary64)))
(.f64 (.f64 #s(literal -2 binary64) y) (pow.f64 x #s(literal 3 binary64)))
(.f64 (.f64 #s(literal -2 binary64) y) (pow.f64 y #s(literal 3 binary64)))
(.f64 (.f64 #s(literal -2 binary64) y) (neg.f64 y))
(.f64 (.f64 #s(literal -2 binary64) y) y)
(.f64 (.f64 #s(literal -2 binary64) y) x)
(.f64 #s(literal 2 binary64) (.f64 y x))
(*.f64 #s(literal 2 binary64) (neg.f64 x))
(*.f64 #s(literal 2 binary64) (neg.f64 y))
(*.f64 #s(literal 2 binary64) y)
(*.f64 #s(literal 2 binary64) x)
(*.f64 y #s(literal -2 binary64))
(.f64 y (.f64 #s(literal -2 binary64) y))
(*.f64 y #s(literal 2 binary64))
(*.f64 x #s(literal -2 binary64))
(.f64 x (.f64 #s(literal -2 binary64) y))
(*.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal -2 binary64) y) #s(literal 3 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 0 binary64) y)) #s(literal 0 binary64))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) y)) (neg.f64 (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (neg.f64 (.f64 y (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x x #s(literal 0 binary64)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 y y #s(literal 0 binary64)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 0 binary64)) (.f64 #s(literal 0 binary64) (.f64 x x))) #s(literal 0 binary64))
(/.f64 (-.f64 (.f64 (.f64 y y) #s(literal 0 binary64)) (.f64 #s(literal 0 binary64) (.f64 y y))) #s(literal 0 binary64))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal 0 binary64)) (.f64 (fma.f64 x x #s(literal 0 binary64)) (pow.f64 x #s(literal 3 binary64)))) (.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y #s(literal 0 binary64)) (.f64 (fma.f64 y y #s(literal 0 binary64)) (pow.f64 y #s(literal 3 binary64)))) (.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (pow.f64 (*.f64 #s(literal 0 binary64) y) #s(literal 3 binary64)) #s(literal 0 binary64))
(/.f64 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) y) #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 3 binary64)))
(/.f64 (pow.f64 (.f64 y (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 3 binary64)))
(/.f64 (pow.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (fma.f64 x x #s(literal 0 binary64))) #s(literal 3 binary64)))
(/.f64 (pow.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 3 binary64)))
(/.f64 (pow.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (fma.f64 y y #s(literal 0 binary64))) #s(literal 3 binary64)))
(/.f64 (pow.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) #s(literal 3 binary64)) (pow.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal 3 binary64)))
(/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (fma.f64 x x #s(literal 0 binary64))) #s(literal 3 binary64)))
(/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 3 binary64)))
(/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (fma.f64 y y #s(literal 0 binary64))) #s(literal 3 binary64)))
(/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal 3 binary64)))
(/.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 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 x x #s(literal 0 binary64)))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 y y #s(literal 0 binary64)))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y #s(literal 0 binary64)))
(neg.f64 (*.f64 #s(literal -2 binary64) y))
(fma.f64 y x (*.f64 y x))
(fma.f64 x y (*.f64 y x))
(-.f64 (/.f64 (.f64 x x) #s(literal 0 binary64)) (/.f64 (.f64 x x) #s(literal 0 binary64)))
(-.f64 (/.f64 (.f64 y y) #s(literal 0 binary64)) (/.f64 (.f64 y y) #s(literal 0 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal -2 binary64) y)) #s(literal 3 binary64)))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal 0 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal 0 binary64))))
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y #s(literal 0 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y #s(literal 0 binary64))))
(+.f64 (.f64 y x) (.f64 y x))
(+.f64 (neg.f64 x) (neg.f64 x))
(+.f64 (neg.f64 y) (neg.f64 y))
(+.f64 y y)
(+.f64 x x)

eval315.0ms (6.3%)

Memory: 26.1MiB live, 247.0MiB allocated
Compiler: Compiled 43 945 to 4 473 computations (89.8% saved)

prune58.0ms (1.2%)

Memory

-1.0MiB live, 86.7MiB allocated

Pruning

9 alts after pruning (2 fresh and 7 done)

	Pruned	Kept	Total
New	1 555	2	1 557
Fresh	0	0	0
Picked	2	3	5
Done	0	4	4
Total	1 557	9	1 566

Accuracy

100.0%

Counts

1 566 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	87.5%	(/.f64 (/.f64 (-.f64 x y) y) (*.f64 #s(literal 2 binary64) x))
✓	87.5%	(/.f64 (-.f64 (/.f64 x (+.f64 y y)) #s(literal 1/2 binary64)) x)
▶	68.9%	(/.f64 (-.f64 #s(approx (pow (/ x (* 2 y)) 2) (.f64 (.f64 x (/.f64 (/.f64 x y) y)) #s(literal 1/4 binary64))) #s(literal 1/4 binary64)) (.f64 (+.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64)) x))
✓	76.4%	(/.f64 (-.f64 x y) (*.f64 (+.f64 x x) y))
▶	50.3%	(/.f64 #s(approx (- (pow (/ x (* 2 y)) 2) 1/4) #s(literal -1/4 binary64)) (.f64 (+.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64)) x))
✓	39.1%	(/.f64 #s(approx (- x y) (neg.f64 y)) (*.f64 (+.f64 x x) y))
✓	99.9%	(-.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 122 to 91 computations (25.4% saved)

simplify299.0ms (5.9%)

Memory

-1.5MiB live, 113.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	179
0	34	179
1	58	179
2	115	179
3	256	179
4	681	179
5	1925	179
6	3662	179
7	4327	179
8	4735	179
9	5341	179
10	5699	179
11	6048	179
12	6294	179
13	6618	179
14	7143	179
15	7280	179
16	7400	179
17	7440	179
18	7480	179
19	7480	179
20	7591	179
21	7751	179
22	7763	179
23	7763	179
0	9955	179

Stop Event

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

Calls

Call 1

Inputs
(/.f64 #s(approx (- (pow (/ x (* 2 y)) 2) 1/4) #s(literal -1/4 binary64)) (.f64 (+.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64)) x))
#s(approx (- (pow (/ x (* 2 y)) 2) 1/4) #s(literal -1/4 binary64))
#s(literal -1/4 binary64)
(.f64 (+.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64)) x)
(+.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64))
(/.f64 x (*.f64 #s(literal 2 binary64) y))
x
(*.f64 #s(literal 2 binary64) y)
#s(literal 2 binary64)
y
#s(literal 1/2 binary64)
(/.f64 (-.f64 #s(approx (pow (/ x (* 2 y)) 2) (.f64 (.f64 x (/.f64 (/.f64 x y) y)) #s(literal 1/4 binary64))) #s(literal 1/4 binary64)) (.f64 (+.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64)) x))
(-.f64 #s(approx (pow (/ x (* 2 y)) 2) (.f64 (.f64 x (/.f64 (/.f64 x y) y)) #s(literal 1/4 binary64))) #s(literal 1/4 binary64))
#s(approx (pow (/ x (* 2 y)) 2) (.f64 (.f64 x (/.f64 (/.f64 x y) y)) #s(literal 1/4 binary64)))
(.f64 (.f64 x (/.f64 (/.f64 x y) y)) #s(literal 1/4 binary64))
(*.f64 x (/.f64 (/.f64 x y) y))
x
(/.f64 (/.f64 x y) y)
(/.f64 x y)
y
#s(literal 1/4 binary64)
(.f64 (+.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64)) x)
(+.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64))
(/.f64 x (*.f64 #s(literal 2 binary64) y))
(*.f64 #s(literal 2 binary64) y)
#s(literal 2 binary64)
#s(literal 1/2 binary64)

Outputs
(/.f64 #s(approx (- (pow (/ x (* 2 y)) 2) 1/4) #s(literal -1/4 binary64)) (.f64 (+.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64)) x))
(/.f64 (/.f64 #s(approx (- (pow (/ x (* 2 y)) 2) 1/4) #s(literal -1/4 binary64)) x) (-.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64)))
#s(approx (- (pow (/ x (* 2 y)) 2) 1/4) #s(literal -1/4 binary64))
#s(literal -1/4 binary64)
(.f64 (+.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64)) x)
(.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x (.f64 y #s(literal 2 binary64)))) x)
(+.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 y #s(literal 2 binary64))))
(/.f64 x (*.f64 #s(literal 2 binary64) y))
(/.f64 x (*.f64 y #s(literal 2 binary64)))
x
(*.f64 #s(literal 2 binary64) y)
(*.f64 y #s(literal 2 binary64))
#s(literal 2 binary64)
y
#s(literal 1/2 binary64)
(/.f64 (-.f64 #s(approx (pow (/ x (* 2 y)) 2) (.f64 (.f64 x (/.f64 (/.f64 x y) y)) #s(literal 1/4 binary64))) #s(literal 1/4 binary64)) (.f64 (+.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64)) x))
(/.f64 (-.f64 #s(approx (pow (/ x (* 2 y)) 2) (.f64 (.f64 (/.f64 (/.f64 x y) y) x) #s(literal 1/4 binary64))) #s(literal 1/4 binary64)) (.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x (.f64 y #s(literal 2 binary64)))) x))
(-.f64 #s(approx (pow (/ x (* 2 y)) 2) (.f64 (.f64 x (/.f64 (/.f64 x y) y)) #s(literal 1/4 binary64))) #s(literal 1/4 binary64))
(-.f64 #s(approx (pow (/ x (* 2 y)) 2) (.f64 (.f64 (/.f64 (/.f64 x y) y) x) #s(literal 1/4 binary64))) #s(literal 1/4 binary64))
#s(approx (pow (/ x (* 2 y)) 2) (.f64 (.f64 x (/.f64 (/.f64 x y) y)) #s(literal 1/4 binary64)))
#s(approx (pow (/ x (* 2 y)) 2) (.f64 (.f64 (/.f64 (/.f64 x y) y) x) #s(literal 1/4 binary64)))
(.f64 (.f64 x (/.f64 (/.f64 x y) y)) #s(literal 1/4 binary64))
(.f64 (.f64 (/.f64 (/.f64 x y) y) x) #s(literal 1/4 binary64))
(*.f64 x (/.f64 (/.f64 x y) y))
(*.f64 (/.f64 (/.f64 x y) y) x)
x
(/.f64 (/.f64 x y) y)
(/.f64 x y)
y
#s(literal 1/4 binary64)
(.f64 (+.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64)) x)
(.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x (.f64 y #s(literal 2 binary64)))) x)
(+.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 y #s(literal 2 binary64))))
(/.f64 x (*.f64 #s(literal 2 binary64) y))
(/.f64 x (*.f64 y #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) y)
(*.f64 y #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 1/2 binary64)

localize98.0ms (1.9%)

Memory

-20.6MiB live, 106.4MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.11328125	(/.f64 (/.f64 x y) y)
accuracy	0.20094801648052096	(.f64 (.f64 x (/.f64 (/.f64 x y) y)) #s(literal 1/4 binary64))
accuracy	4.120799262523424	(*.f64 x (/.f64 (/.f64 x y) y))
accuracy	17.405264622807753	(/.f64 (-.f64 #s(approx (pow (/ x (* 2 y)) 2) (.f64 (.f64 x (/.f64 (/.f64 x y) y)) #s(literal 1/4 binary64))) #s(literal 1/4 binary64)) (.f64 (+.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64)) x))
accuracy	0.0	(*.f64 #s(literal 2 binary64) y)
accuracy	0.06640625	(.f64 (+.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64)) x)
accuracy	17.405264622807753	(/.f64 #s(approx (- (pow (/ x (* 2 y)) 2) 1/4) #s(literal -1/4 binary64)) (.f64 (+.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64)) x))
accuracy	32.24303158834784	#s(approx (- (pow (/ x (* 2 y)) 2) 1/4) #s(literal -1/4 binary64))

Samples

81.0ms

256×

valid

Compiler

Compiled 326 to 44 computations (86.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-div: 6.0ms (26.4% of total)

ival-add: 6.0ms (26.4% of total)

ival-mult: 6.0ms (26.4% of total)

ival-pow2: 3.0ms (13.2% of total)

ival-sub: 1.0ms (4.4% of total)

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

exact: 0.0ms (0% of total)

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

series10.0ms (0.2%)

Memory

25.2MiB live, 25.2MiB allocated

Counts

11 → 25

Calls

Call 1

Inputs
(/.f64 #s(approx (- (pow (/ x (* 2 y)) 2) 1/4) #s(literal -1/4 binary64)) (.f64 (+.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64)) x))
#s(approx (- (pow (/ x (* 2 y)) 2) 1/4) #s(literal -1/4 binary64))
(.f64 (+.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64)) x)
(+.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64))
(/.f64 (-.f64 #s(approx (pow (/ x (* 2 y)) 2) (.f64 (.f64 x (/.f64 (/.f64 x y) y)) #s(literal 1/4 binary64))) #s(literal 1/4 binary64)) (.f64 (+.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64)) x))
(-.f64 #s(approx (pow (/ x (* 2 y)) 2) (.f64 (.f64 x (/.f64 (/.f64 x y) y)) #s(literal 1/4 binary64))) #s(literal 1/4 binary64))
#s(approx (pow (/ x (* 2 y)) 2) (.f64 (.f64 x (/.f64 (/.f64 x y) y)) #s(literal 1/4 binary64)))
(.f64 (.f64 x (/.f64 (/.f64 x y) y)) #s(literal 1/4 binary64))
(*.f64 #s(literal 2 binary64) y)
(*.f64 x (/.f64 (/.f64 x y) y))
(/.f64 (/.f64 x y) y)

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

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	((/ (- (pow (/ x (* 2 y)) 2) 1/4) (* (+ (/ x (* 2 y)) 1/2) x)) (- (pow (/ x (* 2 y)) 2) 1/4) (* (+ (/ x (* 2 y)) 1/2) x) (+ (/ x (* 2 y)) 1/2) (/ (- (pow (/ x (* 2 y)) 2) 1/4) (* (+ (/ x (* 2 y)) 1/2) x)) (- (pow (/ x (* 2 y)) 2) 1/4) (pow (/ x (* 2 y)) 2) (* (* x (/ (/ x y) y)) 1/4) (* 2 y) (* x (/ (/ x y) y)) (/ (/ x y) y))
2.0ms	x	@	inf	((/ (- (pow (/ x (* 2 y)) 2) 1/4) (* (+ (/ x (* 2 y)) 1/2) x)) (- (pow (/ x (* 2 y)) 2) 1/4) (* (+ (/ x (* 2 y)) 1/2) x) (+ (/ x (* 2 y)) 1/2) (/ (- (pow (/ x (* 2 y)) 2) 1/4) (* (+ (/ x (* 2 y)) 1/2) x)) (- (pow (/ x (* 2 y)) 2) 1/4) (pow (/ x (* 2 y)) 2) (* (* x (/ (/ x y) y)) 1/4) (* 2 y) (* x (/ (/ x y) y)) (/ (/ x y) y))
1.0ms	x	@	0	((/ (- (pow (/ x (* 2 y)) 2) 1/4) (* (+ (/ x (* 2 y)) 1/2) x)) (- (pow (/ x (* 2 y)) 2) 1/4) (* (+ (/ x (* 2 y)) 1/2) x) (+ (/ x (* 2 y)) 1/2) (/ (- (pow (/ x (* 2 y)) 2) 1/4) (* (+ (/ x (* 2 y)) 1/2) x)) (- (pow (/ x (* 2 y)) 2) 1/4) (pow (/ x (* 2 y)) 2) (* (* x (/ (/ x y) y)) 1/4) (* 2 y) (* x (/ (/ x y) y)) (/ (/ x y) y))
1.0ms	y	@	0	((/ (- (pow (/ x (* 2 y)) 2) 1/4) (* (+ (/ x (* 2 y)) 1/2) x)) (- (pow (/ x (* 2 y)) 2) 1/4) (* (+ (/ x (* 2 y)) 1/2) x) (+ (/ x (* 2 y)) 1/2) (/ (- (pow (/ x (* 2 y)) 2) 1/4) (* (+ (/ x (* 2 y)) 1/2) x)) (- (pow (/ x (* 2 y)) 2) 1/4) (pow (/ x (* 2 y)) 2) (* (* x (/ (/ x y) y)) 1/4) (* 2 y) (* x (/ (/ x y) y)) (/ (/ x y) y))
1.0ms	y	@	inf	((/ (- (pow (/ x (* 2 y)) 2) 1/4) (* (+ (/ x (* 2 y)) 1/2) x)) (- (pow (/ x (* 2 y)) 2) 1/4) (* (+ (/ x (* 2 y)) 1/2) x) (+ (/ x (* 2 y)) 1/2) (/ (- (pow (/ x (* 2 y)) 2) 1/4) (* (+ (/ x (* 2 y)) 1/2) x)) (- (pow (/ x (* 2 y)) 2) 1/4) (pow (/ x (* 2 y)) 2) (* (* x (/ (/ x y) y)) 1/4) (* 2 y) (* x (/ (/ x y) y)) (/ (/ x y) y))

simplify123.0ms (2.4%)

Memory

-12.8MiB live, 108.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	171
1	171	171
2	443	165
3	1565	165
4	5225	165
0	8489	154

Stop Event

1×	iter limit
1×	node limit

Counts

25 → 25

Calls

Call 1

Inputs
(/ -1/2 x)
(/ (- (* 1/2 (/ x y)) 1/2) x)
-1/4
(- (* 1/4 (/ (pow x 2) (pow y 2))) 1/4)
(* 1/2 x)
(* x (+ 1/2 (* 1/2 (/ x y))))
1/2
(+ 1/2 (* 1/2 (/ x y)))
(* 1/4 (/ (pow x 2) (pow y 2)))
(/ (pow x 2) (pow y 2))
(/ x (pow y 2))
(/ 1/2 y)
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(* (pow x 2) (- (* 1/4 (/ 1 (pow y 2))) (* 1/4 (/ 1 (pow x 2)))))
(* 1/2 (/ (pow x 2) y))
(* (pow x 2) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))
(* 1/2 (/ x y))
(* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))
(* x (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))))
(/ (+ 1/2 (* -1/2 (/ y x))) y)
(/ (+ (* -1/4 (pow y 2)) (* 1/4 (pow x 2))) (pow y 2))
(/ (+ (* 1/2 (* x y)) (* 1/2 (pow x 2))) y)
(/ (+ (* 1/2 x) (* 1/2 y)) y)
(* 2 y)
(+ (* 1/2 x) (* 1/2 (/ (pow x 2) 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))
-1/4
#s(literal -1/4 binary64)
(- (* 1/4 (/ (pow x 2) (pow y 2))) 1/4)
(fma.f64 (.f64 (/.f64 #s(literal 1/4 binary64) (.f64 y y)) x) x #s(literal -1/4 binary64))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* 1/2 (/ x y))))
(*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/2 (/ x y)))
(fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(* 1/4 (/ (pow x 2) (pow y 2)))
(.f64 (.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 y y)) x) x)
(/ (pow x 2) (pow y 2))
(*.f64 (/.f64 (/.f64 x y) y) x)
(/ x (pow y 2))
(/.f64 (/.f64 x y) 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))
(* (pow x 2) (- (* 1/4 (/ 1 (pow y 2))) (* 1/4 (/ 1 (pow x 2)))))
(fma.f64 (.f64 (/.f64 #s(literal 1/4 binary64) (.f64 y y)) x) x #s(literal -1/4 binary64))
(* 1/2 (/ (pow x 2) y))
(.f64 (.f64 (/.f64 x y) x) #s(literal 1/2 binary64))
(* (pow x 2) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))
(*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x)
(* 1/2 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/2 binary64))
(* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))
(fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(* x (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))))
(fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/ (+ 1/2 (* -1/2 (/ y x))) y)
(-.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))
(/ (+ (* -1/4 (pow y 2)) (* 1/4 (pow x 2))) (pow y 2))
(fma.f64 (.f64 (/.f64 #s(literal 1/4 binary64) (.f64 y y)) x) x #s(literal -1/4 binary64))
(/ (+ (* 1/2 (* x y)) (* 1/2 (pow x 2))) y)
(*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x)
(/ (+ (* 1/2 x) (* 1/2 y)) y)
(fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(+ (* 1/2 x) (* 1/2 (/ (pow x 2) y)))
(*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x)

rewrite125.0ms (2.5%)

Memory

-1.9MiB live, 232.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	137
0	34	137
1	112	137
2	607	137
0	8655	133

Stop Event

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

Counts

11 → 390

Calls

Call 1

Inputs
(/.f64 #s(approx (- (pow (/ x (* 2 y)) 2) 1/4) #s(literal -1/4 binary64)) (.f64 (+.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64)) x))
#s(approx (- (pow (/ x (* 2 y)) 2) 1/4) #s(literal -1/4 binary64))
(.f64 (+.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64)) x)
(+.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64))
(/.f64 (-.f64 #s(approx (pow (/ x (* 2 y)) 2) (.f64 (.f64 x (/.f64 (/.f64 x y) y)) #s(literal 1/4 binary64))) #s(literal 1/4 binary64)) (.f64 (+.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64)) x))
(-.f64 #s(approx (pow (/ x (* 2 y)) 2) (.f64 (.f64 x (/.f64 (/.f64 x y) y)) #s(literal 1/4 binary64))) #s(literal 1/4 binary64))
#s(approx (pow (/ x (* 2 y)) 2) (.f64 (.f64 x (/.f64 (/.f64 x y) y)) #s(literal 1/4 binary64)))
(.f64 (.f64 x (/.f64 (/.f64 x y) y)) #s(literal 1/4 binary64))
(*.f64 #s(literal 2 binary64) y)
(*.f64 x (/.f64 (/.f64 x y) y))
(/.f64 (/.f64 x y) y)

Outputs
(.f64 (/.f64 (/.f64 #s(approx (- (pow (/ x ( 2 y)) 2) 1/4) #s(literal -1/4 binary64)) x) (fma.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y)) x #s(literal 1/4 binary64))) (fma.f64 (/.f64 x #s(literal 0 binary64)) #s(literal 0 binary64) #s(literal 1/2 binary64)))
(.f64 (/.f64 (/.f64 #s(approx (- (pow (/ x ( 2 y)) 2) 1/4) #s(literal -1/4 binary64)) x) (+.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 x (.f64 #s(literal -2 binary64) y)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 x (.f64 #s(literal -2 binary64) y)) x (fma.f64 (/.f64 x y) #s(literal 1/4 binary64) #s(literal 1/4 binary64)))))
(.f64 (/.f64 (/.f64 #s(approx (- (pow (/ x ( 2 y)) 2) 1/4) #s(literal -1/4 binary64)) x) (neg.f64 (-.f64 (.f64 (/.f64 x (.f64 #s(literal -2 binary64) y)) x) #s(literal 1/4 binary64)))) (neg.f64 (-.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64))))
(.f64 (/.f64 (/.f64 #s(approx (- (pow (/ x ( 2 y)) 2) 1/4) #s(literal -1/4 binary64)) x) (-.f64 (pow.f64 (/.f64 x (.f64 #s(literal -2 binary64) y)) #s(literal 4 binary64)) #s(literal 1/16 binary64))) (.f64 (fma.f64 (/.f64 x (.f64 #s(literal -2 binary64) y)) x #s(literal 1/4 binary64)) (-.f64 (/.f64 x (.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64))))
(.f64 (/.f64 (/.f64 #s(approx (- (pow (/ x ( 2 y)) 2) 1/4) #s(literal -1/4 binary64)) x) (-.f64 (pow.f64 (/.f64 x (.f64 #s(literal -2 binary64) y)) #s(literal 6 binary64)) #s(literal 1/64 binary64))) (.f64 (-.f64 (/.f64 x (.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 x (.f64 #s(literal -2 binary64) y)) #s(literal 4 binary64)) #s(literal 1/16 binary64)) (pow.f64 (*.f64 (/.f64 x y) #s(literal 1/4 binary64)) #s(literal 2 binary64)))))
(.f64 (/.f64 (/.f64 #s(approx (- (pow (/ x ( 2 y)) 2) 1/4) #s(literal -1/4 binary64)) x) (-.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 x (.f64 #s(literal -2 binary64) y)) #s(literal 3 binary64)))) (fma.f64 (/.f64 x (.f64 #s(literal -2 binary64) y)) x (fma.f64 (/.f64 x y) #s(literal 1/4 binary64) #s(literal 1/4 binary64))))
(.f64 (/.f64 (/.f64 #s(approx (- (pow (/ x ( 2 y)) 2) 1/4) #s(literal -1/4 binary64)) x) (-.f64 (.f64 (/.f64 x (.f64 #s(literal -2 binary64) y)) x) #s(literal 1/4 binary64))) (-.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64)))
(.f64 (/.f64 #s(approx (- (pow (/ x ( 2 y)) 2) 1/4) #s(literal -1/4 binary64)) (.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 x (.f64 #s(literal -2 binary64) y)) #s(literal 3 binary64))) x)) (fma.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y)) x (fma.f64 (/.f64 x y) #s(literal 1/4 binary64) #s(literal 1/4 binary64))))
(.f64 (/.f64 #s(approx (- (pow (/ x ( 2 y)) 2) 1/4) #s(literal -1/4 binary64)) (.f64 (-.f64 (.f64 (/.f64 x (.f64 #s(literal -2 binary64) y)) x) #s(literal 1/4 binary64)) x)) (-.f64 (/.f64 x (.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64)))
(.f64 (/.f64 #s(approx (- (pow (/ x ( 2 y)) 2) 1/4) #s(literal -1/4 binary64)) (-.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 x (.f64 #s(literal -2 binary64) y)) #s(literal 3 binary64)))) (/.f64 (fma.f64 (/.f64 x (.f64 #s(literal -2 binary64) y)) x (fma.f64 (/.f64 x y) #s(literal 1/4 binary64) #s(literal 1/4 binary64))) x))
(.f64 (/.f64 #s(approx (- (pow (/ x ( 2 y)) 2) 1/4) #s(literal -1/4 binary64)) (-.f64 (.f64 (/.f64 x (.f64 #s(literal -2 binary64) y)) x) #s(literal 1/4 binary64))) (/.f64 (-.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64)) x))
(/.f64 (/.f64 (neg.f64 #s(approx (- (pow (/ x (* 2 y)) 2) 1/4) #s(literal -1/4 binary64))) x) (fma.f64 (/.f64 x #s(literal 0 binary64)) #s(literal 0 binary64) #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (/.f64 #s(approx (- (pow (/ x (* 2 y)) 2) 1/4) #s(literal -1/4 binary64)) x)) (fma.f64 (/.f64 x #s(literal 0 binary64)) #s(literal 0 binary64) #s(literal -1/2 binary64)))
(/.f64 (/.f64 #s(approx (- (pow (/ x (* 2 y)) 2) 1/4) #s(literal -1/4 binary64)) x) (fma.f64 (/.f64 x #s(literal 0 binary64)) #s(literal 0 binary64) #s(literal 1/2 binary64)))
(/.f64 (/.f64 #s(approx (- (pow (/ x (* 2 y)) 2) 1/4) #s(literal -1/4 binary64)) (fma.f64 (/.f64 x #s(literal 0 binary64)) #s(literal 0 binary64) #s(literal -1/2 binary64))) (neg.f64 x))
(/.f64 (/.f64 #s(approx (- (pow (/ x (* 2 y)) 2) 1/4) #s(literal -1/4 binary64)) (fma.f64 (/.f64 x #s(literal 0 binary64)) #s(literal 0 binary64) #s(literal 1/2 binary64))) x)
(/.f64 (neg.f64 #s(approx (- (pow (/ x (* 2 y)) 2) 1/4) #s(literal -1/4 binary64))) (*.f64 (fma.f64 (/.f64 x #s(literal 0 binary64)) #s(literal 0 binary64) #s(literal -1/2 binary64)) x))
(/.f64 #s(approx (- (pow (/ x (* 2 y)) 2) 1/4) #s(literal -1/4 binary64)) (*.f64 (fma.f64 (/.f64 x #s(literal 0 binary64)) #s(literal 0 binary64) #s(literal 1/2 binary64)) x))
(neg.f64 (/.f64 (/.f64 #s(approx (- (pow (/ x (* 2 y)) 2) 1/4) #s(literal -1/4 binary64)) x) (fma.f64 (/.f64 x #s(literal 0 binary64)) #s(literal 0 binary64) #s(literal -1/2 binary64))))
#s(approx (- (pow (/ x (* 2 y)) 2) 1/4) #s(literal -1/4 binary64))
(neg.f64 (neg.f64 #s(approx (- (pow (/ x (* 2 y)) 2) 1/4) #s(literal -1/4 binary64))))
(.f64 (/.f64 (.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 x (.f64 #s(literal -2 binary64) y)) #s(literal 3 binary64))) x) (-.f64 (pow.f64 (/.f64 x (.f64 #s(literal -2 binary64) y)) #s(literal 4 binary64)) (pow.f64 (fma.f64 (/.f64 x y) #s(literal 1/4 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)))) (-.f64 (.f64 (/.f64 x (.f64 #s(literal -2 binary64) y)) x) (fma.f64 (/.f64 x y) #s(literal 1/4 binary64) #s(literal 1/4 binary64))))
(.f64 (/.f64 (.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 x (.f64 #s(literal -2 binary64) y)) #s(literal 3 binary64))) x) (+.f64 (pow.f64 (fma.f64 (/.f64 x y) #s(literal 1/4 binary64) #s(literal 1/4 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 x (.f64 #s(literal -2 binary64) y)) #s(literal 6 binary64)))) (fma.f64 (fma.f64 (/.f64 x y) #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (fma.f64 (/.f64 x (.f64 #s(literal -2 binary64) y)) x (fma.f64 (/.f64 x y) #s(literal 1/4 binary64) #s(literal 1/4 binary64))) (pow.f64 (/.f64 x (.f64 #s(literal -2 binary64) y)) #s(literal 4 binary64))))
(.f64 (/.f64 (.f64 (-.f64 (.f64 (/.f64 x (.f64 #s(literal -2 binary64) y)) x) #s(literal 1/4 binary64)) x) (-.f64 (pow.f64 (/.f64 x (.f64 #s(literal -2 binary64) y)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (fma.f64 (/.f64 x (.f64 #s(literal -2 binary64) y)) x (fma.f64 (/.f64 x y) #s(literal 1/4 binary64) #s(literal 1/4 binary64))))
(.f64 (/.f64 (.f64 (-.f64 (.f64 (/.f64 x (.f64 #s(literal -2 binary64) y)) x) #s(literal 1/4 binary64)) x) (-.f64 (.f64 (/.f64 x (.f64 #s(literal -2 binary64) y)) x) #s(literal 1/4 binary64))) (fma.f64 (/.f64 x #s(literal 0 binary64)) #s(literal 0 binary64) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 (/.f64 x #s(literal 0 binary64)) #s(literal 0 binary64) #s(literal -1/2 binary64)) (neg.f64 x))
(.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 x (.f64 #s(literal -2 binary64) y)) #s(literal 3 binary64))) (/.f64 x (fma.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y)) x (fma.f64 (/.f64 x y) #s(literal 1/4 binary64) #s(literal 1/4 binary64)))))
(*.f64 (neg.f64 x) (fma.f64 (/.f64 x #s(literal 0 binary64)) #s(literal 0 binary64) #s(literal -1/2 binary64)))
(*.f64 (fma.f64 (/.f64 x #s(literal 0 binary64)) #s(literal 0 binary64) #s(literal 1/2 binary64)) x)
(.f64 (-.f64 (.f64 (/.f64 x (.f64 #s(literal -2 binary64) y)) x) #s(literal 1/4 binary64)) (/.f64 x (-.f64 (/.f64 x (.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64))))
(*.f64 x (fma.f64 (/.f64 x #s(literal 0 binary64)) #s(literal 0 binary64) #s(literal 1/2 binary64)))
(/.f64 (.f64 (fma.f64 (/.f64 x (.f64 #s(literal -2 binary64) y)) x #s(literal 1/4 binary64)) x) (fma.f64 (/.f64 x #s(literal 0 binary64)) #s(literal 0 binary64) #s(literal 1/2 binary64)))
(/.f64 (.f64 (+.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 x (.f64 #s(literal -2 binary64) y)) #s(literal 3 binary64))) x) (neg.f64 (fma.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y)) x (fma.f64 (/.f64 x y) #s(literal 1/4 binary64) #s(literal 1/4 binary64)))))
(/.f64 (.f64 (neg.f64 (-.f64 (.f64 (/.f64 x (.f64 #s(literal -2 binary64) y)) x) #s(literal 1/4 binary64))) x) (neg.f64 (-.f64 (/.f64 x (.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (/.f64 x (.f64 #s(literal -2 binary64) y)) #s(literal 4 binary64)) #s(literal 1/16 binary64)) x) (.f64 (fma.f64 (/.f64 x (.f64 #s(literal -2 binary64) y)) x #s(literal 1/4 binary64)) (-.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64))))
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eval72.0ms (1.4%)

Memory: 11.8MiB live, 168.1MiB allocated
Compiler: Compiled 27 239 to 1 966 computations (92.8% saved)

prune31.0ms (0.6%)

Memory

-30.4MiB live, 54.4MiB allocated

Pruning

10 alts after pruning (3 fresh and 7 done)

	Pruned	Kept	Total
New	642	3	645
Fresh	0	0	0
Picked	2	0	2
Done	0	7	7
Total	644	10	654

Accuracy

100.0%

Counts

654 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	87.5%	(/.f64 (/.f64 (-.f64 x y) y) (*.f64 #s(literal 2 binary64) x))
✓	87.5%	(/.f64 (-.f64 (/.f64 x (+.f64 y y)) #s(literal 1/2 binary64)) x)
	68.9%	(/.f64 (-.f64 #s(approx (pow (/ x (* 2 y)) 2) (.f64 (.f64 x (/.f64 (/.f64 x y) y)) #s(literal 1/4 binary64))) #s(literal 1/4 binary64)) (*.f64 (+.f64 (/.f64 x (+.f64 y y)) #s(literal 1/2 binary64)) x))
✓	76.4%	(/.f64 (-.f64 x y) (*.f64 (+.f64 x x) y))
	59.4%	(/.f64 (.f64 (/.f64 (-.f64 (pow.f64 #s(approx (pow (/ x ( 2 y)) 2) (.f64 (.f64 (/.f64 (/.f64 x y) y) x) #s(literal 1/4 binary64))) #s(literal 2 binary64)) #s(literal 1/16 binary64)) (+.f64 #s(literal 1/64 binary64) (pow.f64 #s(approx (pow (/ x (* 2 y)) 2) (.f64 (.f64 (/.f64 (/.f64 x y) y) x) #s(literal 1/4 binary64))) #s(literal 3 binary64)))) (+.f64 (-.f64 #s(literal 1/16 binary64) (.f64 #s(approx (pow (/ x ( 2 y)) 2) (.f64 (.f64 (/.f64 (/.f64 x y) y) x) #s(literal 1/4 binary64))) #s(literal 1/4 binary64))) (pow.f64 #s(approx (pow (/ x (* 2 y)) 2) (.f64 (.f64 (/.f64 (/.f64 x y) y) x) #s(literal 1/4 binary64))) #s(literal 2 binary64)))) (.f64 (+.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64)) x))
	50.3%	(/.f64 #s(approx (- (pow (/ x (* 2 y)) 2) 1/4) #s(literal -1/4 binary64)) (*.f64 (+.f64 (/.f64 x (+.f64 y y)) #s(literal 1/2 binary64)) x))
✓	39.1%	(/.f64 #s(approx (- x y) (neg.f64 y)) (*.f64 (+.f64 x x) y))
✓	99.9%	(-.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 548 to 208 computations (62% saved)

regimes15.0ms (0.3%)

Memory

39.1MiB live, 39.1MiB allocated

Counts

16 → 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 (-.f64 (/.f64 x (+.f64 y y)) #s(literal 1/2 binary64)) x)
(/.f64 (-.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64)) x)
(/.f64 (/.f64 (-.f64 x y) y) (*.f64 #s(literal 2 binary64) x))
(/.f64 #s(approx (- (pow (/ x (* 2 y)) 2) 1/4) #s(literal -1/4 binary64)) (*.f64 (+.f64 (/.f64 x (+.f64 y y)) #s(literal 1/2 binary64)) x))
(/.f64 #s(approx (- (pow (/ x (* 2 y)) 2) 1/4) #s(literal -1/4 binary64)) (.f64 (+.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64)) x))
(/.f64 (-.f64 #s(approx (pow (/ x (* 2 y)) 2) (.f64 (.f64 x (/.f64 (/.f64 x y) y)) #s(literal 1/4 binary64))) #s(literal 1/4 binary64)) (*.f64 (+.f64 (/.f64 x (+.f64 y y)) #s(literal 1/2 binary64)) x))
(/.f64 (-.f64 #s(approx (pow (/ x (* 2 y)) 2) (.f64 (.f64 x (/.f64 (/.f64 x y) y)) #s(literal 1/4 binary64))) #s(literal 1/4 binary64)) (.f64 (+.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 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 (pow.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 (+.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64)) x))
(/.f64 (.f64 (/.f64 (-.f64 (pow.f64 #s(approx (pow (/ x ( 2 y)) 2) (.f64 (.f64 (/.f64 (/.f64 x y) y) x) #s(literal 1/4 binary64))) #s(literal 2 binary64)) #s(literal 1/16 binary64)) (+.f64 #s(literal 1/64 binary64) (pow.f64 #s(approx (pow (/ x (* 2 y)) 2) (.f64 (.f64 (/.f64 (/.f64 x y) y) x) #s(literal 1/4 binary64))) #s(literal 3 binary64)))) (+.f64 (-.f64 #s(literal 1/16 binary64) (.f64 #s(approx (pow (/ x ( 2 y)) 2) (.f64 (.f64 (/.f64 (/.f64 x y) y) x) #s(literal 1/4 binary64))) #s(literal 1/4 binary64))) (pow.f64 #s(approx (pow (/ x (* 2 y)) 2) (.f64 (.f64 (/.f64 (/.f64 x y) y) x) #s(literal 1/4 binary64))) #s(literal 2 binary64)))) (.f64 (+.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64)) x))

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

Calls

3 calls:

5.0ms	x
5.0ms	y
4.0ms	(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`y`
99.9%	1	`(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`

Compiler

Compiled 11 to 11 computations (0% saved)

regimes12.0ms (0.2%)

Memory

-18.2MiB live, 16.4MiB allocated

Counts

5 → 5

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) y))
(/.f64 (-.f64 x y) (*.f64 (+.f64 x x) y))
#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) x))

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
85.6%	5	`x`
88.8%	5	`y`
89.2%	5	`(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`

Compiler

Compiled 11 to 11 computations (0% saved)

regimes5.0ms (0.1%)

Memory

16.9MiB live, 17.0MiB allocated

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

Results

Accuracy	Segments	Branch
73.0%	3	`x`
79.1%	3	`y`
56.0%	2	`(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`

Compiler

Compiled 11 to 11 computations (0% saved)

regimes5.0ms (0.1%)

Memory

-21.8MiB live, 17.2MiB allocated

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:

3.0ms	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)

bsearch1.0ms (0%)

Memory

3.7MiB live, 3.7MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	1.076940675467809e+301	3.942516950333818e+302
0.0ms	0.0	1.1765951926049599e-82
0.0ms	-7.73895890541696e-107	-0.0
0.0ms	-inf	-1.0611439684369248e+308

Compiler

Compiled 12 to 12 computations (0% saved)

bsearch22.0ms (0.4%)

Memory

-5.9MiB live, 43.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
7.0ms	2.1343371134296256e-46	5.143137768466903e-46
13.0ms	-0.0026142803460631335	-2.7074265367200045e-6

Samples

12.0ms

208×

valid

Compiler

Compiled 350 to 298 computations (14.9% saved)

Precisions

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

ival-mult: 5.0ms (63.8% of total)

ival-sub: 1.0ms (12.8% of total)

ival-div: 1.0ms (12.8% of total)

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

exact: 0.0ms (0% of total)

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

simplify51.0ms (1%)

Memory

2.7MiB live, 40.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	40	148
1	61	140
2	105	140
3	167	140
4	222	140
5	328	140
6	824	140
7	5740	140

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 (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #s(literal -inf.0 binary64)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) (if (<=.f64 (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #s(literal -8263199609878107/165263992197562149737978827008192759957101170741070304821162198818601447809077836456297302609928821211897803006255839576064 binary64)) (/.f64 (-.f64 x y) (.f64 (+.f64 x x) y)) (if (<=.f64 (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #s(literal 0 binary64)) #s(approx (/ (- x y) ( (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #s(literal 20000000000000001050095205104088404974089371622163183098317082310236049159778163915727427501608957280874088876657677563538850464707208611512895843695734139656967744018531516074756604675895761801187379064699415998901622380779352817601493054855602849891585175776401136856762313389443927737309188010803200 binary64)) (/.f64 (-.f64 x y) (.f64 (+.f64 x x) y)) #s(approx (/ (- x y) ( (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))))))
(if (<=.f64 y #s(literal -7673845534663173/147573952589676412928 binary64)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 y #s(literal 498150793720287/1606938044258990275541962092341162602522202993782792835301376 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 (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #s(literal -inf.0 binary64)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) (if (<=.f64 (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #s(literal -8263199609878107/165263992197562149737978827008192759957101170741070304821162198818601447809077836456297302609928821211897803006255839576064 binary64)) (/.f64 (-.f64 x y) (.f64 (+.f64 x x) y)) (if (<=.f64 (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #s(literal 0 binary64)) #s(approx (/ (- x y) ( (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #s(literal 20000000000000001050095205104088404974089371622163183098317082310236049159778163915727427501608957280874088876657677563538850464707208611512895843695734139656967744018531516074756604675895761801187379064699415998901622380779352817601493054855602849891585175776401136856762313389443927737309188010803200 binary64)) (/.f64 (-.f64 x y) (.f64 (+.f64 x x) y)) #s(approx (/ (- x y) ( (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))))))
(if (<=.f64 (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #s(literal -inf.0 binary64)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) (if (or (<=.f64 (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #s(literal -8263199609878107/165263992197562149737978827008192759957101170741070304821162198818601447809077836456297302609928821211897803006255839576064 binary64)) (not (or (<=.f64 (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #s(literal 0 binary64)) (not (<=.f64 (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #s(literal 20000000000000001050095205104088404974089371622163183098317082310236049159778163915727427501608957280874088876657677563538850464707208611512895843695734139656967744018531516074756604675895761801187379064699415998901622380779352817601493054855602849891585175776401136856762313389443927737309188010803200 binary64)))))) (/.f64 (-.f64 x y) (.f64 (+.f64 x x) y)) #s(approx (/ (- x y) ( (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))))
(if (<=.f64 y #s(literal -7673845534663173/147573952589676412928 binary64)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 y #s(literal 498150793720287/1606938044258990275541962092341162602522202993782792835301376 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 -7673845534663173/147573952589676412928 binary64)) (not (<=.f64 y #s(literal 498150793720287/1606938044258990275541962092341162602522202993782792835301376 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))

soundness517.0ms (10.3%)

Memory

1.3MiB live, 235.9MiB allocated

Iterations

Useful iterations: 2 (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
0	7	20
0	11	20
1	38	20
2	216	18
3	2250	18
0	8389	18

Stop Event

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

Compiler

Compiled 189 to 85 computations (55% saved)

preprocess49.0ms (1%)

Memory: -0.2MiB live, 74.0MiB allocated
Compiler: Compiled 312 to 114 computations (63.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze21.0ms (0.4%)

sample656.0ms (13%)

explain148.0ms (2.9%)

preprocess54.0ms (1.1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify23.0ms (0.4%)

localize18.0ms (0.4%)

series9.0ms (0.2%)

simplify156.0ms (3.1%)

rewrite257.0ms (5.1%)

eval84.0ms (1.7%)

prune9.0ms (0.2%)

simplify46.0ms (0.9%)

localize93.0ms (1.8%)

series13.0ms (0.3%)

simplify102.0ms (2%)

rewrite89.0ms (1.8%)

eval12.0ms (0.2%)

prune6.0ms (0.1%)

simplify211.0ms (4.2%)

localize175.0ms (3.5%)

series50.0ms (1%)

simplify179.0ms (3.6%)

rewrite811.0ms (16.1%)

eval315.0ms (6.3%)

prune58.0ms (1.2%)

simplify299.0ms (5.9%)

localize98.0ms (1.9%)

series10.0ms (0.2%)

simplify123.0ms (2.4%)

rewrite125.0ms (2.5%)

eval72.0ms (1.4%)

prune31.0ms (0.6%)

regimes15.0ms (0.3%)

regimes12.0ms (0.2%)

regimes5.0ms (0.1%)

regimes5.0ms (0.1%)

bsearch1.0ms (0%)

bsearch22.0ms (0.4%)

simplify51.0ms (1%)

soundness517.0ms (10.3%)

preprocess49.0ms (1%)

end0.0ms (0%)

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