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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze35.0ms (1%)

Memory

-5.7MiB live, 40.0MiB 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)

sample882.0ms (24.5%)

Memory

35.2MiB live, 1 158.4MiB allocated

Samples

634.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 370.0ms

ival-mult: 198.0ms (53.5% of total)

ival-div: 85.0ms (23% of total)

ival-sub: 74.0ms (20% of total)

ival-true: 6.0ms (1.6% of total)

exact: 5.0ms (1.4% of total)

ival-assert: 3.0ms (0.8% of total)

Bogosity

explain122.0ms (3.4%)

Memory

9.2MiB live, 113.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
52	-	5	(-4.860402712771498e-202 -2.1114463989688487e-109)	`(/.f64 (-.f64 x y) (.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	-	`(.f64 (.f64 x #s(literal 2 binary64)) 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	27	0
↳	`(.f64 (.f64 x #s(literal 2 binary64)) y)`	underflow	27
`/.f64`	`(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`	n/o	20	0
↳	`(.f64 (.f64 x #s(literal 2 binary64)) y)`	overflow	20

Confusion

	Predicted +	Predicted -
+	47	5
-	0	204

Precision

1.0

Recall

0.9038461538461539

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	47	0	5
-	0	0	204

Precision?

1.0

Recall?

0.9038461538461539

Freqs

test

number	freq
0	209
1	47

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

50.0ms

512×

valid

Compiler

Compiled 59 to 25 computations (57.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-mult: 30.0ms (82.1% of total)

ival-sub: 3.0ms (8.2% of total)

ival-div: 3.0ms (8.2% of total)

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

exact: 0.0ms (0% of total)

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

preprocess60.0ms (1.7%)

Memory

-3.9MiB live, 83.2MiB 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: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	81.6%	(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify23.0ms (0.6%)

Memory

2.7MiB live, 47.0MiB 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)

localize70.0ms (1.9%)

Memory

-15.7MiB live, 52.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 x y)
accuracy	0.0	(.f64 (.f64 x #s(literal 2 binary64)) y)
accuracy	0.0	(*.f64 x #s(literal 2 binary64))
accuracy	11.746201656707262	(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))

Samples

65.0ms

256×

valid

Compiler

Compiled 25 to 9 computations (64% saved)

Precisions

Click to see histograms. Total time spent on operations: 54.0ms

ival-sub: 49.0ms (90.1% of total)

ival-mult: 3.0ms (5.5% of total)

ival-div: 2.0ms (3.7% of total)

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

exact: 0.0ms (0% of total)

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

series10.0ms (0.3%)

Memory

28.0MiB live, 28.0MiB 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))

simplify221.0ms (6.1%)

Memory

-1.1MiB live, 276.6MiB 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)

rewrite274.0ms (7.6%)

Memory

-18.2MiB live, 213.0MiB 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))
(/.f64 (-.f64 (/.f64 (/.f64 x y) x) (/.f64 (/.f64 y x) y)) #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)

eval104.0ms (2.9%)

Memory: 20.9MiB live, 77.3MiB allocated
Compiler: Compiled 12 062 to 1 289 computations (89.3% saved)

prune57.0ms (1.6%)

Memory

-13.5MiB live, 29.4MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

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

Accuracy

100.0%

Counts

428 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	86.9%	(/.f64 (/.f64 (-.f64 x y) x) (*.f64 #s(literal 2 binary64) y))
▶	81.6%	(/.f64 (-.f64 x y) (*.f64 (+.f64 x x) y))
▶	100.0%	(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
▶	53.6%	#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
▶	48.0%	#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))

Compiler

Compiled 102 to 78 computations (23.5% saved)

simplify24.0ms (0.7%)

Memory

8.5MiB live, 54.3MiB 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 y)
cost-diff	0	(/.f64 (-.f64 x y) x)
cost-diff	2	(/.f64 (/.f64 (-.f64 x y) x) (*.f64 #s(literal 2 binary64) y))
cost-diff	0	(+.f64 x x)
cost-diff	0	(*.f64 (+.f64 x x) y)
cost-diff	0	(-.f64 x y)
cost-diff	2	(/.f64 (-.f64 x y) (*.f64 (+.f64 x x) y))
cost-diff	0	(/.f64 #s(literal 1/2 binary64) y)
cost-diff	0	#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
cost-diff	0	(/.f64 #s(literal -1/2 binary64) x)
cost-diff	0	#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))
cost-diff	0	(/.f64 #s(literal 1/2 binary64) x)
cost-diff	0	(/.f64 #s(literal 1/2 binary64) y)
cost-diff	0	(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	97
0	33	93
1	56	93
2	89	89
3	146	89
4	169	89
5	193	89
6	313	89
7	650	89
8	859	89
9	983	89
10	1069	89
11	1096	89
0	1096	89

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

localize78.0ms (2.2%)

Memory

3.0MiB live, 110.3MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 x y)
accuracy	0.0	(*.f64 #s(literal 2 binary64) y)
accuracy	0.00390625	(/.f64 (-.f64 x y) x)
accuracy	8.347497196227733	(/.f64 (/.f64 (-.f64 x y) x) (*.f64 #s(literal 2 binary64) y))
accuracy	0.0	(-.f64 x y)
accuracy	0.0	(+.f64 x x)
accuracy	0.0	(*.f64 (+.f64 x x) y)
accuracy	11.746201656707262	(/.f64 (-.f64 x y) (*.f64 (+.f64 x x) y))
accuracy	0.0	(/.f64 #s(literal 1/2 binary64) y)
accuracy	29.707429994375484	#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	33.256392026397684	#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))
accuracy	0.0	(/.f64 #s(literal 1/2 binary64) y)
accuracy	0.0	(/.f64 #s(literal 1/2 binary64) x)
accuracy	0.0078125	(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))

Samples

67.0ms

256×

valid

Compiler

Compiled 91 to 21 computations (76.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

ival-div: 30.0ms (74.8% of total)

ival-mult: 6.0ms (15% of total)

ival-sub: 2.0ms (5% of total)

ival-add: 1.0ms (2.5% of total)

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

exact: 0.0ms (0% of total)

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

series41.0ms (1.1%)

Memory

-22.3MiB live, 24.1MiB allocated

Counts

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

Calls

6 calls:

Time	Variable		Point	Expression
33.0ms	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 y) x) (* 2 y)) (/ (- x y) x) (* 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 y) x) (* 2 y)) (/ (- x y) x) (* 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 y) x) (* 2 y)) (/ (- x y) x) (* 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 y) x) (* 2 y)) (/ (- x y) x) (* 2 y))
1.0ms	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 y) x) (* 2 y)) (/ (- x y) x) (* 2 y))

simplify176.0ms (4.9%)

Memory

9.0MiB live, 236.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	48	97
1	130	93
2	304	93
3	753	87
4	2268	87
5	5106	87
6	7131	87
0	8609	87

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

rewrite87.0ms (2.4%)

Memory

13.9MiB live, 114.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	79
0	33	79
1	108	79
0	613	79

Stop Event

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

Counts

13 → 111

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

eval24.0ms (0.7%)

Memory: -1.5MiB live, 46.5MiB allocated
Compiler: Compiled 1 717 to 328 computations (80.9% saved)

prune5.0ms (0.1%)

Memory

11.3MiB live, 11.3MiB allocated

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	115	1	116
Fresh	0	0	0
Picked	1	4	5
Done	0	0	0
Total	116	5	121

Accuracy

100.0%

Counts

121 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	86.9%	(/.f64 (/.f64 (-.f64 x y) x) (+.f64 y y))
✓	81.6%	(/.f64 (-.f64 x y) (*.f64 (+.f64 x x) y))
✓	100.0%	(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
✓	53.6%	#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
✓	48.0%	#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))

Compiler

Compiled 51 to 38 computations (25.5% saved)

simplify36.0ms (1%)

Memory

-18.8MiB live, 28.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 y y)
cost-diff	0	(-.f64 x y)
cost-diff	0	(/.f64 (-.f64 x y) x)
cost-diff	2	(/.f64 (/.f64 (-.f64 x y) x) (+.f64 y y))

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	6	22
0	10	22
1	17	22
2	36	22
3	77	22
4	120	20
5	155	20
6	273	20
7	608	20
8	828	20
9	955	20
10	1040	20
11	1066	20
0	1066	20

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(/.f64 (/.f64 (-.f64 x y) x) (+.f64 y y))
(/.f64 (-.f64 x y) x)
(-.f64 x y)
x
y
(+.f64 y y)

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

localize39.0ms (1.1%)

Memory

6.2MiB live, 52.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 x y)
accuracy	0.0	(+.f64 y y)
accuracy	0.00390625	(/.f64 (-.f64 x y) x)
accuracy	8.347497196227733	(/.f64 (/.f64 (-.f64 x y) x) (+.f64 y y))

Samples

23.0ms

256×

valid

Compiler

Compiled 24 to 8 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-div: 6.0ms (53.5% of total)

ival-sub: 3.0ms (26.8% of total)

ival-add: 2.0ms (17.8% of total)

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

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

series6.0ms (0.2%)

Memory

10.5MiB live, 10.5MiB allocated

Counts

4 → 20

Calls

Call 1

Inputs
(/.f64 (/.f64 (-.f64 x y) x) (+.f64 y y))
(/.f64 (-.f64 x y) x)
(-.f64 x y)
(+.f64 y y)

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

Calls

6 calls:

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

simplify163.0ms (4.5%)

Memory

14.3MiB live, 194.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	44	92
1	121	82
2	292	82
3	750	76
4	2243	76
5	5117	76
6	7317	76
0	8577	76

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 19

Calls

Call 1

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

rewrite176.0ms (4.9%)

Memory

-65.0MiB live, 64.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	20
0	10	20
1	42	20
0	281	20

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Counts

4 → 44

Calls

Call 1

Inputs
(/.f64 (/.f64 (-.f64 x y) x) (+.f64 y y))
(/.f64 (-.f64 x y) x)
(-.f64 x y)
(+.f64 y y)

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

eval7.0ms (0.2%)

Memory: 18.3MiB live, 18.3MiB allocated
Compiler: Compiled 761 to 166 computations (78.2% saved)

prune3.0ms (0.1%)

Memory

10.0MiB live, 10.0MiB allocated

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	53	0	53
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	53	5	58

Accuracy

100.0%

Counts

58 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	86.9%	(/.f64 (/.f64 (-.f64 x y) x) (+.f64 y y))
✓	81.6%	(/.f64 (-.f64 x y) (*.f64 (+.f64 x x) y))
✓	100.0%	(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
✓	53.6%	#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
✓	48.0%	#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))

Compiler

Compiled 120 to 66 computations (45% saved)

regimes23.0ms (0.6%)

Memory

-23.4MiB live, 21.3MiB allocated

Counts

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

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

Calls

3 calls:

17.0ms	(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))
3.0ms	y
2.0ms	x

Results

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

Compiler

Compiled 11 to 11 computations (0% saved)

regimes6.0ms (0.2%)

Memory

18.6MiB live, 18.6MiB allocated

Counts

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

Results

Accuracy	Segments	Branch
91.9%	5	`(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`
88.3%	4	`x`
89.8%	4	`y`

Compiler

Compiled 11 to 11 computations (0% saved)

regimes4.0ms (0.1%)

Memory

13.4MiB live, 13.4MiB allocated

Counts

2 → 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))

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:

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

Results

Accuracy	Segments	Branch
77.2%	3	`x`
82.0%	3	`y`
60.9%	4	`(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`

Compiler

Compiled 11 to 11 computations (0% saved)

regimes4.0ms (0.1%)

Memory

10.3MiB live, 10.3MiB 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:

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

Results

Accuracy	Segments	Branch
48.0%	1	`(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`
48.0%	1	`x`
48.0%	1	`y`

Compiler

Compiled 11 to 11 computations (0% saved)

bsearch1.0ms (0%)

Memory

2.2MiB live, 2.2MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	7.020603904459881e+304	+inf
0.0ms	-0.0	1.6407106453201127e-90
0.0ms	-2.648241047924941e-127	0.0
0.0ms	-4.446683976325944e+286	-5.400991238277358e+285

Compiler

Compiled 12 to 12 computations (0% saved)

bsearch63.0ms (1.7%)

Memory

-41.1MiB live, 59.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
26.0ms	1094156700.1241999	446315826650.49634
34.0ms	-2.218972632211284e-10	-2.3442130206850355e-14

Samples

14.0ms

256×

valid

Compiler

Compiled 428 to 364 computations (15% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-mult: 3.0ms (44.8% of total)

ival-div: 2.0ms (29.9% of total)

ival-sub: 1.0ms (14.9% of total)

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

exact: 0.0ms (0% of total)

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

simplify40.0ms (1.1%)

Memory

5.3MiB live, 51.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	160
1	58	160
2	99	160
3	163	160
4	215	160
5	321	160
6	817	160
7	5770	160

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 -40000000000000001319544441363478699417083520460180314547390332566952102911144359515659154874345297651440469526517609593602352808846070463447296324668951162364530823708308233521804472831690438299749571920194575166617207694888593244900050884667283337052501378615669149173199628334975156224 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 -2438866054934369/12194330274671844653834364178879555881830461494785043558043581873536608354764709453594945715091765512343073949692994620685343654997219864477696 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) y)) (if (<=.f64 (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #s(literal 99999999999999993925355250553646218600402872201173249531907715713232045630132339028433092574405077484368561180561621725787171937426360305302357988408668827749873014416820110410677102531624409058437198025485515990766396825508218326595491122696079498053460349186625724064076043808459598620749043481381437440 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 -5694524180712749/1237940039285380274899124224 binary64)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 y #s(literal 1750000000 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 -40000000000000001319544441363478699417083520460180314547390332566952102911144359515659154874345297651440469526517609593602352808846070463447296324668951162364530823708308233521804472831690438299749571920194575166617207694888593244900050884667283337052501378615669149173199628334975156224 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 -2438866054934369/12194330274671844653834364178879555881830461494785043558043581873536608354764709453594945715091765512343073949692994620685343654997219864477696 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) y)) (if (<=.f64 (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #s(literal 99999999999999993925355250553646218600402872201173249531907715713232045630132339028433092574405077484368561180561621725787171937426360305302357988408668827749873014416820110410677102531624409058437198025485515990766396825508218326595491122696079498053460349186625724064076043808459598620749043481381437440 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 -5694524180712749/1237940039285380274899124224 binary64)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 y #s(literal 1750000000 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 -5694524180712749/1237940039285380274899124224 binary64)) (not (<=.f64 y #s(literal 1750000000 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))

soundness691.0ms (19.2%)

Memory

-1.4MiB live, 278.2MiB 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×	done
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit

Compiler

Compiled 209 to 83 computations (60.3% saved)

preprocess46.0ms (1.3%)

Memory: 24.6MiB live, 76.2MiB allocated
Compiler: Compiled 352 to 110 computations (68.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze35.0ms (1%)

sample882.0ms (24.5%)

explain122.0ms (3.4%)

preprocess60.0ms (1.7%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify23.0ms (0.6%)

localize70.0ms (1.9%)

series10.0ms (0.3%)

simplify221.0ms (6.1%)

rewrite274.0ms (7.6%)

eval104.0ms (2.9%)

prune57.0ms (1.6%)

simplify24.0ms (0.7%)

localize78.0ms (2.2%)

series41.0ms (1.1%)

simplify176.0ms (4.9%)

rewrite87.0ms (2.4%)

eval24.0ms (0.7%)

prune5.0ms (0.1%)

simplify36.0ms (1%)

localize39.0ms (1.1%)

series6.0ms (0.2%)

simplify163.0ms (4.5%)

rewrite176.0ms (4.9%)

eval7.0ms (0.2%)

prune3.0ms (0.1%)

regimes23.0ms (0.6%)

regimes6.0ms (0.2%)

regimes4.0ms (0.1%)

regimes4.0ms (0.1%)

bsearch1.0ms (0%)

bsearch63.0ms (1.7%)

simplify40.0ms (1.1%)

soundness691.0ms (19.2%)

preprocess46.0ms (1.3%)

end0.0ms (0%)

Profiling