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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze34.0ms (1.1%)

Memory

-22.7MiB live, 62.2MiB 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)

sample861.0ms (27.8%)

Memory

37.4MiB live, 1 007.0MiB allocated

Samples

558.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 258.0ms

ival-mult: 131.0ms (50.8% of total)

ival-sub: 58.0ms (22.5% of total)

ival-div: 53.0ms (20.6% of total)

ival-true: 6.0ms (2.3% of total)

exact: 5.0ms (1.9% of total)

ival-assert: 4.0ms (1.6% of total)

Bogosity

explain73.0ms (2.4%)

Memory

-20.3MiB live, 95.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
69	-	2	(1.7055428001719033e-50 6.7885364211955895e-267)	`(/.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/o	34	0
↳	`(.f64 (.f64 x #s(literal 2 binary64)) y)`	overflow	34
`/.f64`	`(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`	n/u	33	0
↳	`(.f64 (.f64 x #s(literal 2 binary64)) y)`	underflow	33

Confusion

	Predicted +	Predicted -
+	67	2
-	0	187

Precision

1.0

Recall

0.9710144927536232

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	67	0	2
-	0	0	187

Precision?

1.0

Recall?

0.9710144927536232

Freqs

test

number	freq
0	189
1	67

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

28.0ms

512×

valid

Compiler

Compiled 59 to 25 computations (57.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-mult: 7.0ms (51.7% of total)

ival-sub: 3.0ms (22.2% of total)

ival-div: 3.0ms (22.2% of total)

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

exact: 0.0ms (0% of total)

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

preprocess59.0ms (1.9%)

Memory

12.6MiB live, 50.8MiB 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

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	75.0%	(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify24.0ms (0.8%)

Memory

-16.6MiB live, 21.0MiB 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)

localize21.0ms (0.7%)

Memory

12.3MiB live, 48.3MiB 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	16.011552748162767	(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))

Samples

16.0ms

256×

valid

Compiler

Compiled 25 to 9 computations (64% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-mult: 6.0ms (63.7% of total)

ival-sub: 2.0ms (21.2% of total)

ival-div: 2.0ms (21.2% of total)

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

exact: 0.0ms (0% of total)

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

series15.0ms (0.5%)

Memory

-17.4MiB live, 26.1MiB 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
7.0ms	y	@	0	((/ (- x y) (* (* x 2) y)) (- x y) (* (* x 2) y) (* x 2))
2.0ms	y	@	-inf	((/ (- x y) (* (* x 2) y)) (- x y) (* (* x 2) y) (* x 2))
2.0ms	x	@	-inf	((/ (- x y) (* (* x 2) y)) (- x y) (* (* x 2) y) (* x 2))
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))

simplify287.0ms (9.3%)

Memory

6.6MiB live, 122.1MiB 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)

rewrite271.0ms (8.7%)

Memory

-1.8MiB live, 150.0MiB 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)

eval77.0ms (2.5%)

Memory: 6.2MiB live, 89.6MiB allocated
Compiler: Compiled 12 062 to 1 289 computations (89.3% saved)

prune8.0ms (0.3%)

Memory

25.8MiB live, 25.8MiB 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
▶	88.0%	(/.f64 (/.f64 (-.f64 x y) y) (*.f64 #s(literal 2 binary64) x))
▶	75.0%	(/.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))
▶	52.7%	#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
▶	49.0%	#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))

Compiler

Compiled 102 to 78 computations (23.5% saved)

simplify59.0ms (1.9%)

Memory

-23.0MiB live, 14.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score
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 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	59	93
2	97	89
3	150	89
4	169	89
5	193	89
6	313	89
7	653	89
8	863	89
9	996	89
10	1081	89
11	1107	89
0	1107	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) 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)

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

localize44.0ms (1.4%)

Memory

22.5MiB live, 22.5MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 x y)
accuracy	0.0	(*.f64 #s(literal 2 binary64) x)
accuracy	0.01953125	(/.f64 (-.f64 x y) y)
accuracy	7.649995027112023	(/.f64 (/.f64 (-.f64 x y) y) (*.f64 #s(literal 2 binary64) x))
accuracy	0.0	(-.f64 x y)
accuracy	0.0	(+.f64 x x)
accuracy	0.0	(*.f64 (+.f64 x x) y)
accuracy	16.011552748162767	(/.f64 (-.f64 x y) (*.f64 (+.f64 x x) y))
accuracy	0.0	(/.f64 #s(literal 1/2 binary64) y)
accuracy	30.269766542117413	#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	32.60995458319804	#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	0.015625	(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))

Samples

33.0ms

256×

valid

Compiler

Compiled 91 to 21 computations (76.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-div: 11.0ms (52.4% of total)

ival-mult: 6.0ms (28.6% of total)

ival-sub: 2.0ms (9.5% of total)

ival-add: 1.0ms (4.8% of total)

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

exact: 0.0ms (0% of total)

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

series20.0ms (0.6%)

Memory

-28.3MiB live, 10.7MiB allocated

Counts

13 → 22

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

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

Calls

6 calls:

Time	Variable		Point	Expression
11.0ms	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) y) (* 2 x)) (/ (- x y) y) (* 2 x))
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) y) (* 2 x)) (/ (- x y) y) (* 2 x))
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) y) (* 2 x)) (/ (- x y) y) (* 2 x))
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) y) (* 2 x)) (/ (- x y) y) (* 2 x))
1.0ms	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) y) (* 2 x)) (/ (- x y) y) (* 2 x))

simplify126.0ms (4.1%)

Memory

1.4MiB live, 91.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	47	89
1	126	89
2	310	89
3	787	83
4	2758	83
5	5674	83
6	7419	83
0	8131	83

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 21

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

rewrite74.0ms (2.4%)

Memory

-8.1MiB live, 66.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	79
0	33	79
1	111	79
0	631	79

Stop Event

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

Counts

13 → 135

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

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

eval24.0ms (0.8%)

Memory: 6.5MiB live, 50.4MiB allocated
Compiler: Compiled 1 780 to 347 computations (80.5% saved)

prune4.0ms (0.1%)

Memory

15.8MiB live, 15.8MiB allocated

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	123	0	123
Fresh	0	0	0
Picked	0	5	5
Done	0	0	0
Total	123	5	128

Accuracy

100.0%

Counts

128 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	88.0%	(/.f64 (/.f64 (-.f64 x y) y) (*.f64 #s(literal 2 binary64) x))
✓	75.0%	(/.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))
✓	52.7%	#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
✓	49.0%	#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))

Compiler

Compiled 111 to 65 computations (41.4% saved)

regimes10.0ms (0.3%)

Memory

-14.4MiB live, 23.4MiB allocated

Counts

6 → 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) y) (*.f64 #s(literal 2 binary64) x))

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

Calls

3 calls:

5.0ms	y
2.0ms	x
2.0ms	(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))

Results

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

Compiler

Compiled 11 to 11 computations (0% saved)

regimes6.0ms (0.2%)

Memory

13.6MiB live, 13.6MiB 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) x))
(/.f64 (-.f64 x y) (*.f64 (+.f64 x x) y))
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))

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
89.1%	5	`x`
84.7%	5	`y`
88.7%	5	`(/.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

9.7MiB live, 9.7MiB 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) 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) y))

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
76.1%	3	`y`
60.3%	3	`(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`
80.0%	3	`x`

Compiler

Compiled 11 to 11 computations (0% saved)

regimes5.0ms (0.1%)

Memory

-28.1MiB live, 10.5MiB 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	(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))
1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
49.0%	1	`(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`
49.0%	1	`y`
49.0%	1	`x`

Compiler

Compiled 11 to 11 computations (0% saved)

bsearch100.0ms (3.2%)

Memory

0.8MiB live, 85.9MiB allocated

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
46.0ms	5.2462064584218645e+113	6.869365179674516e+115
4.0ms	3.2076572207536936e-177	3.702745659105195e-177
32.0ms	-2.5050909948123464e-153	-6.971085662086584e-157
13.0ms	-2.747572283419329e+133	-1.667739675145035e+123

Samples

58.0ms

448×

valid

Compiler

Compiled 628 to 516 computations (17.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 49.0ms

ival-mult: 43.0ms (88.3% of total)

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

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

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

exact: 0.0ms (0% of total)

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

bsearch24.0ms (0.8%)

Memory

24.0MiB live, 24.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	5.177248932972958e-16	3.461528872607885e-14
12.0ms	-1.6827580493147445e+53	-1.0882477516832455e+44

Samples

12.0ms

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 (45.4% of total)

ival-div: 2.0ms (30.3% of total)

ival-sub: 1.0ms (15.1% of total)

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

exact: 0.0ms (0% of total)

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

simplify284.0ms (9.1%)

Memory

-12.4MiB live, 63.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	128
1	55	128
2	97	128
3	161	128
4	214	128
5	320	128
6	812	128
7	6019	128

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 x #s(literal -27000000000000002116518691647423219956280844958143920928354846343903867171868794432171465507469259084835236128842347981972394899144704 binary64)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) (if (<=.f64 x #s(literal -2705176266112081/1932268761508629172347675945465993672149463664853217499328617625725759571144780212268096883290961288981231808015751088588682539330521493827871454336733540374348490407411712 binary64)) (/.f64 (-.f64 x y) (.f64 (+.f64 x x) y)) (if (<=.f64 x #s(literal 8440515142601061/2281220308811097609320585802850145662446614253624279965289596258949637583604338693252956405658685699889321154786797203655344352360687718999126330659861107094125997337180132475041437096123301888 binary64)) #s(approx (/ (- x y) ( (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 x #s(literal 68000000000000001058040296803745325650237694990632177469144399469296697119203387822019006514223226441982027099013120 binary64)) (/.f64 (-.f64 x y) (.f64 (+.f64 x x) y)) #s(approx (/ (- x y) ( (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))))))
(if (<=.f64 x #s(literal -25000000000000001096146076126904933865851191296 binary64)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) (if (<=.f64 x #s(literal 5862884026055561/316912650057057350374175801344 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))

Outputs
(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(if (<=.f64 x #s(literal -27000000000000002116518691647423219956280844958143920928354846343903867171868794432171465507469259084835236128842347981972394899144704 binary64)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) (if (<=.f64 x #s(literal -2705176266112081/1932268761508629172347675945465993672149463664853217499328617625725759571144780212268096883290961288981231808015751088588682539330521493827871454336733540374348490407411712 binary64)) (/.f64 (-.f64 x y) (.f64 (+.f64 x x) y)) (if (<=.f64 x #s(literal 8440515142601061/2281220308811097609320585802850145662446614253624279965289596258949637583604338693252956405658685699889321154786797203655344352360687718999126330659861107094125997337180132475041437096123301888 binary64)) #s(approx (/ (- x y) ( (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 x #s(literal 68000000000000001058040296803745325650237694990632177469144399469296697119203387822019006514223226441982027099013120 binary64)) (/.f64 (-.f64 x y) (.f64 (+.f64 x x) y)) #s(approx (/ (- x y) ( (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))))))
(if (<=.f64 x #s(literal -25000000000000001096146076126904933865851191296 binary64)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) (if (<=.f64 x #s(literal 5862884026055561/316912650057057350374175801344 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))))
(if (or (<=.f64 x #s(literal -25000000000000001096146076126904933865851191296 binary64)) (not (<=.f64 x #s(literal 5862884026055561/316912650057057350374175801344 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))

soundness543.0ms (17.5%)

Memory

-7.5MiB live, 234.2MiB 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 177 to 79 computations (55.4% saved)

preprocess40.0ms (1.3%)

Memory: 11.2MiB live, 88.6MiB allocated
Compiler: Compiled 288 to 102 computations (64.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze34.0ms (1.1%)

sample861.0ms (27.8%)

explain73.0ms (2.4%)

preprocess59.0ms (1.9%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify24.0ms (0.8%)

localize21.0ms (0.7%)

series15.0ms (0.5%)

simplify287.0ms (9.3%)

rewrite271.0ms (8.7%)

eval77.0ms (2.5%)

prune8.0ms (0.3%)

simplify59.0ms (1.9%)

localize44.0ms (1.4%)

series20.0ms (0.6%)

simplify126.0ms (4.1%)

rewrite74.0ms (2.4%)

eval24.0ms (0.8%)

prune4.0ms (0.1%)

regimes10.0ms (0.3%)

regimes6.0ms (0.2%)

regimes4.0ms (0.1%)

regimes5.0ms (0.1%)

bsearch100.0ms (3.2%)

bsearch24.0ms (0.8%)

simplify284.0ms (9.1%)

soundness543.0ms (17.5%)

preprocess40.0ms (1.3%)

end0.0ms (0%)

Profiling