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

analyze22.0ms (0.4%)

Memory

-27.7MiB live, 52.5MiB 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)

sample809.0ms (13.6%)

Memory

24.5MiB live, 1 284.1MiB allocated

Samples

446.0ms

8 256×

valid

Precisions

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

ival-mult: 117.0ms (45.4% of total)

ival-sub: 75.0ms (29.1% of total)

ival-div: 52.0ms (20.2% of total)

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

exact: 5.0ms (1.9% of total)

ival-assert: 3.0ms (1.2% of total)

Bogosity

preprocess520.0ms (8.8%)

Memory

-23.1MiB live, 397.0MiB allocated

Algorithm

1×	egg-herbie

Rules

7 700×	`lower-fma.f64`
7 700×	`lower-fma.f32`
3 752×	`lower-*.f32`
3 748×	`lower-*.f64`
2 616×	`div-sub`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	53
1	71	45
2	303	35
3	1658	35
4	3588	35
5	5120	35
6	5897	35
7	6043	35
8	6091	35
9	6178	35
10	6178	35
11	6640	35
12	7256	35
0	7	9
0	11	9
1	22	9
2	56	7
3	133	7
4	309	7
5	630	7
6	1135	7
7	4009	7
8	7041	7
0	8094	7

Stop Event

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

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 x y) (.f64 x (.f64 y #s(literal 2 binary64))))

explain122.0ms (2.1%)

Memory

17.2MiB live, 135.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
67	-	4	(3.0940193300947877e-93 -1.044739398288474e-217)	`(/.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	32	0
↳	`(.f64 (.f64 x #s(literal 2 binary64)) y)`	overflow	32
`/.f64`	`(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`	n/u	31	0
↳	`(.f64 (.f64 x #s(literal 2 binary64)) y)`	underflow	31

Confusion

	Predicted +	Predicted -
+	63	4
-	0	189

Precision

1.0

Recall

0.9402985074626866

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	63	0	4
-	0	0	189

Precision?

1.0

Recall?

0.9402985074626866

Freqs

test

number	freq
0	193
1	63

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

81.0ms

512×

valid

Compiler

Compiled 72 to 32 computations (55.6% saved)

Precisions

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

ival-mult: 59.0ms (87.3% of total)

ival-div: 5.0ms (7.4% of total)

ival-sub: 3.0ms (4.4% of total)

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

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	76.0%	(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))

Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify264.0ms (4.4%)

Memory

-9.9MiB live, 386.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

7 700×	`lower-fma.f64`
7 700×	`lower-fma.f32`
3 752×	`lower-*.f32`
3 748×	`lower-*.f64`
1 972×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	7	23
0	11	23
1	22	23
2	56	21
3	133	21
4	309	21
5	630	21
6	1135	21
7	4009	21
8	7041	21
0	8094	21

Stop Event

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

localize21.0ms (0.4%)

Memory

36.4MiB live, 36.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 x y)
✓	accuracy	100.0%	(.f64 (.f64 x #s(literal 2 binary64)) y)
✓	accuracy	100.0%	(*.f64 x #s(literal 2 binary64))
✓	accuracy	76.0%	(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))

Samples

13.0ms

256×

valid

Compiler

Compiled 25 to 9 computations (64% saved)

Precisions

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

ival-mult: 3.0ms (45.3% of total)

ival-sub: 2.0ms (30.2% of total)

ival-div: 2.0ms (30.2% of total)

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

exact: 0.0ms (0% of total)

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

series75.0ms (1.3%)

Memory

-24.2MiB live, 14.3MiB allocated

Counts

4 → 84

Calls

Call 1

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

Outputs
#<alt (/ -1/2 x)>
#<alt (/ (- (* 1/2 (/ x y)) 1/2) x)>
#<alt (/ (- (* 1/2 (/ x y)) 1/2) x)>
#<alt (/ (- (* 1/2 (/ x y)) 1/2) x)>
#<alt (/ 1/2 y)>
#<alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))>
#<alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))>
#<alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))>
#<alt (/ 1/2 y)>
#<alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))>
#<alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))>
#<alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))>
#<alt (/ 1/2 y)>
#<alt (/ (+ 1/2 (* -1/2 (/ y x))) y)>
#<alt (/ (+ 1/2 (* -1/2 (/ y x))) y)>
#<alt (/ (+ 1/2 (* -1/2 (/ y x))) y)>
#<alt (/ -1/2 x)>
#<alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))>
#<alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))>
#<alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))>
#<alt (/ -1/2 x)>
#<alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))>
#<alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))>
#<alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))>
#<alt (* -1 y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt x>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (* -1 y)>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>

Calls

21 calls:

Time	Variable		Point	Expression
67.0ms	x	@	inf	(/ (- x y) (* (* x 2) y))
1.0ms	x	@	inf	(* x 2)
1.0ms	y	@	inf	(/ (- x y) (* (* x 2) y))
1.0ms	x	@	0	(/ (- x y) (* (* x 2) y))
1.0ms	y	@	-inf	(/ (- x y) (* (* x 2) y))

simplify474.0ms (8%)

Memory

23.7MiB live, 695.9MiB allocated

Algorithm

1×	egg-herbie

Rules

16 868×	`lower-fma.f64`
16 868×	`lower-fma.f32`
2 616×	`lower-*.f64`
2 616×	`lower-*.f32`
2 482×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	399
1	106	399
2	239	399
3	553	369
4	1457	369
5	2639	369
6	4362	369
7	5570	369
8	6051	369
9	6296	369
10	6416	369
11	7573	369
0	8021	366

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 81

Calls

Call 1

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

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

rewrite887.0ms (14.9%)

Memory

-1.8MiB live, 505.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 688×	`lower-/.f32`
5 686×	`lower-/.f64`
4 398×	`lower-*.f32`
4 394×	`lower-*.f64`
2 466×	`lower-pow.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	7	20
0	11	20
1	43	20
2	301	18
3	4219	18
0	10118	18

Stop Event

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

Counts

4 → 623

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

eval255.0ms (4.3%)

Memory: 18.0MiB live, 177.9MiB allocated
Compiler: Compiled 16 841 to 1 711 computations (89.8% saved)

prune86.0ms (1.5%)

Memory

-9.7MiB live, 270.3MiB allocated

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	701	3	704
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	701	4	705

Accuracy

100.0%

Counts

705 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	76.0%	(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))
▶	100.0%	(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
▶	45.4%	#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
▶	56.2%	#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))

Compiler

Compiled 32 to 21 computations (34.4% saved)

simplify418.0ms (7%)

Memory

-24.1MiB live, 632.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal 1/2 binary64) x)
✓	cost-diff	0	(/.f64 #s(literal 1/2 binary64) y)
✓	cost-diff	64	(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
✓	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))

Rules

17 602×	`lower-fma.f64`
17 602×	`lower-fma.f32`
4 330×	`lower-*.f64`
4 330×	`lower-*.f32`
2 040×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	52
0	19	54
1	32	54
2	73	48
3	158	48
4	349	48
5	710	48
6	1399	48
7	4715	48
8	7753	48
0	8127	48

Stop Event

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

Calls

Call 1

Inputs
#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 #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

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

localize59.0ms (1%)

Memory

16.2MiB live, 53.5MiB allocated

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 #s(literal 1/2 binary64) y)
✓	accuracy	100.0%	(/.f64 #s(literal 1/2 binary64) x)
✓	accuracy	100.0%	(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
✓	accuracy	100.0%	(/.f64 #s(literal 1/2 binary64) y)
✓	accuracy	45.4%	#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
✓	accuracy	100.0%	(/.f64 #s(literal -1/2 binary64) x)
✓	accuracy	56.2%	#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))

Samples

45.0ms

256×

valid

Compiler

Compiled 46 to 15 computations (67.4% saved)

Precisions

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

ival-div: 30.0ms (81.9% of total)

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

ival-mult: 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)

series4.0ms (0.1%)

Memory

5.3MiB live, 5.3MiB allocated

Counts

6 → 108

Calls

Call 1

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

Outputs
#<alt (/ -1/2 x)>
#<alt (/ (- (* 1/2 (/ x y)) 1/2) x)>
#<alt (/ (- (* 1/2 (/ x y)) 1/2) x)>
#<alt (/ (- (* 1/2 (/ x y)) 1/2) x)>
#<alt (/ 1/2 y)>
#<alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))>
#<alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))>
#<alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))>
#<alt (/ 1/2 y)>
#<alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))>
#<alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))>
#<alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))>
#<alt (/ 1/2 y)>
#<alt (/ (+ 1/2 (* -1/2 (/ y x))) y)>
#<alt (/ (+ 1/2 (* -1/2 (/ y x))) y)>
#<alt (/ (+ 1/2 (* -1/2 (/ y x))) y)>
#<alt (/ -1/2 x)>
#<alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))>
#<alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))>
#<alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))>
#<alt (/ -1/2 x)>
#<alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))>
#<alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))>
#<alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ (- (* 1/2 (/ x y)) 1/2) x)>
#<alt (/ (- (* 1/2 (/ x y)) 1/2) x)>
#<alt (/ (- (* 1/2 (/ x y)) 1/2) x)>
#<alt (/ 1/2 y)>
#<alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))>
#<alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))>
#<alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))>
#<alt (/ 1/2 y)>
#<alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))>
#<alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))>
#<alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))>
#<alt (/ 1/2 y)>
#<alt (/ (+ 1/2 (* -1/2 (/ y x))) y)>
#<alt (/ (+ 1/2 (* -1/2 (/ y x))) y)>
#<alt (/ (+ 1/2 (* -1/2 (/ y x))) y)>
#<alt (/ -1/2 x)>
#<alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))>
#<alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))>
#<alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))>
#<alt (/ -1/2 x)>
#<alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))>
#<alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))>
#<alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))>
#<alt (/ 1/2 y)>
#<alt (/ 1/2 y)>
#<alt (/ 1/2 y)>
#<alt (/ 1/2 y)>
#<alt (/ 1/2 y)>
#<alt (/ 1/2 y)>
#<alt (/ 1/2 y)>
#<alt (/ 1/2 y)>
#<alt (/ 1/2 y)>
#<alt (/ 1/2 y)>
#<alt (/ 1/2 y)>
#<alt (/ 1/2 y)>
#<alt (/ 1/2 y)>
#<alt (/ (+ 1/2 (* -1/2 (/ y x))) y)>
#<alt (/ (+ 1/2 (* -1/2 (/ y x))) y)>
#<alt (/ (+ 1/2 (* -1/2 (/ y x))) y)>
#<alt (/ -1/2 x)>
#<alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))>
#<alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))>
#<alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))>
#<alt (/ -1/2 x)>
#<alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))>
#<alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))>
#<alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))>
#<alt (/ -1/2 x)>
#<alt (/ (- (* 1/2 (/ x y)) 1/2) x)>
#<alt (/ (- (* 1/2 (/ x y)) 1/2) x)>
#<alt (/ (- (* 1/2 (/ x y)) 1/2) x)>
#<alt (/ 1/2 y)>
#<alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))>
#<alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))>
#<alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))>
#<alt (/ 1/2 y)>
#<alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))>
#<alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))>
#<alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>

Calls

27 calls:

Time	Variable		Point	Expression
0.0ms	y	@	0	(- (/ 1/2 y) (/ 1/2 x))
0.0ms	x	@	0	(- (/ 1/2 y) (/ 1/2 x))
0.0ms	x	@	0	(/ -1/2 x)
0.0ms	y	@	0	(/ 1/2 y)
0.0ms	x	@	inf	(/ -1/2 x)

simplify684.0ms (11.5%)

Memory

5.7MiB live, 683.4MiB allocated

Algorithm

1×	egg-herbie

Rules

22 904×	`lower-fma.f64`
22 904×	`lower-fma.f32`
3 708×	`lower-*.f64`
3 708×	`lower-*.f32`
1 872×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	648
1	44	648
2	72	648
3	115	558
4	213	558
5	519	558
6	1556	558
7	3585	558
8	5323	558
9	6169	558
10	6354	558
11	6467	558
12	6607	558
13	7097	558
14	7390	558
15	7517	558
16	7517	558
17	7517	558
0	8013	549

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 108

Calls

Call 1

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

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

rewrite307.0ms (5.2%)

Memory

19.0MiB live, 559.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 350×	`lower-/.f32`
5 344×	`lower-/.f64`
4 296×	`lower-*.f64`
4 296×	`lower-*.f32`
3 734×	`lower-fma.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	42
0	19	44
1	87	44
2	761	38
0	8303	38

Stop Event

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

Counts

6 → 378

Calls

Call 1

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

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

eval59.0ms (1%)

Memory: 4.6MiB live, 120.6MiB allocated
Compiler: Compiled 8 559 to 1 043 computations (87.8% saved)

prune69.0ms (1.2%)

Memory

-44.2MiB live, 137.9MiB allocated

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	515	0	515
Fresh	0	0	0
Picked	0	3	3
Done	0	1	1
Total	515	4	519

Accuracy

100.0%

Counts

519 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	76.0%	(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))
✓	100.0%	(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
✓	45.4%	#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
✓	56.2%	#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))

Compiler

Compiled 58 to 34 computations (41.4% saved)

regimes7.0ms (0.1%)

Memory

20.4MiB live, 20.4MiB allocated

Counts

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

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

Calls

3 calls:

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

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 17 to 11 computations (35.3% saved)

regimes7.0ms (0.1%)

Memory

-21.0MiB live, 18.2MiB allocated

Counts

3 → 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 #s(literal 2 binary64)) y))

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
84.1%	4	`x`
89.5%	5	`y`
88.9%	5	`(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`

Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes5.0ms (0.1%)

Memory

14.3MiB live, 14.3MiB 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:

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

Results

Accuracy	Segments	Branch
75.9%	3	`x`
58.5%	2	`(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`
80.5%	3	`y`

Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes4.0ms (0.1%)

Memory

14.8MiB live, 14.8MiB 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	x
1.0ms	(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))
1.0ms	y

Results

Accuracy	Segments	Branch
56.2%	1	`(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`
56.2%	1	`x`
56.2%	1	`y`

Compiler

Compiled 17 to 11 computations (35.3% saved)

bsearch70.0ms (1.2%)

Memory

-31.8MiB live, 86.5MiB allocated

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
9.0ms	5.004502387277378e+133	2.3804076323013004e+135
11.0ms	1.1438314320578431e-178	1.058971201062842e-174
35.0ms	-3.6393693475194603e-205	-1.044739398288474e-217
10.0ms	-4.619999689063087e+139	-2.605342277122413e+137

Samples

45.0ms

512×

valid

Compiler

Compiled 622 to 428 computations (31.2% saved)

Precisions

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

ival-mult: 6.0ms (44.5% 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)

bsearch19.0ms (0.3%)

Memory

32.3MiB live, 32.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	5.456009830982266e+93	2.7021493535227294e+95
8.0ms	-2.097667830264108e-74	-3.759044768668814e-75

Samples

10.0ms

208×

valid

Compiler

Compiled 196 to 142 computations (27.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-mult: 2.0ms (37.2% of total)

ival-sub: 1.0ms (18.6% of total)

ival-div: 1.0ms (18.6% of total)

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

exact: 0.0ms (0% of total)

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

simplify10.0ms (0.2%)

Memory

-21.8MiB live, 15.8MiB allocated

Algorithm

1×	egg-herbie

Rules

12×	`*-commutative_binary64`
12×	`+-commutative_binary64`
12×	`sub-neg_binary64`
8×	`neg-sub0_binary64`
8×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	140
1	43	140
2	55	140
3	63	140
4	69	140
5	71	140

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(if (<=.f64 y #s(literal -4800000000000000157639499948183645179137660318526136138459104446041985633114182378611206315013091580882957622964747690777512755044215160832 binary64)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 y #s(literal -4066580100539833/11296055834832869987796435368818511453405415647406310098733607723450775321444793999623495683980919987883591461993135986312493187463513563790506212353947784425723184365930864482290528289970814110895029437915338121462939648 binary64)) (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) (if (<=.f64 y #s(literal 5417898233426357/570305077202774402330146450712536415611653563406069991322399064737409395901084673313239101414671424972330288696699300913836088090171929749781582664965276773531499334295033118760359274030825472 binary64)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) (if (<=.f64 y #s(literal 370000000000000013313390566144931514570358276954411670787923574488886973326348268794571916689837680276401725746261325310256368922394624 binary64)) (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))))))
(if (<=.f64 y #s(literal -5092589940836215/254629497041810760783555711051172270131433549208242031329517556169297662470417088272924672 binary64)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 y #s(literal 5500000000000000296471177979063621114882105791579620141489748174168924490622038114133845475328 binary64)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))))
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))

Outputs
(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(if (<=.f64 y #s(literal -4800000000000000157639499948183645179137660318526136138459104446041985633114182378611206315013091580882957622964747690777512755044215160832 binary64)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 y #s(literal -4066580100539833/11296055834832869987796435368818511453405415647406310098733607723450775321444793999623495683980919987883591461993135986312493187463513563790506212353947784425723184365930864482290528289970814110895029437915338121462939648 binary64)) (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) (if (<=.f64 y #s(literal 5417898233426357/570305077202774402330146450712536415611653563406069991322399064737409395901084673313239101414671424972330288696699300913836088090171929749781582664965276773531499334295033118760359274030825472 binary64)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) (if (<=.f64 y #s(literal 370000000000000013313390566144931514570358276954411670787923574488886973326348268794571916689837680276401725746261325310256368922394624 binary64)) (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))))))
(if (<=.f64 y #s(literal -4800000000000000157639499948183645179137660318526136138459104446041985633114182378611206315013091580882957622964747690777512755044215160832 binary64)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 y #s(literal -4066580100539833/11296055834832869987796435368818511453405415647406310098733607723450775321444793999623495683980919987883591461993135986312493187463513563790506212353947784425723184365930864482290528289970814110895029437915338121462939648 binary64)) (/.f64 (-.f64 x y) (.f64 y (.f64 x #s(literal 2 binary64)))) (if (<=.f64 y #s(literal 5417898233426357/570305077202774402330146450712536415611653563406069991322399064737409395901084673313239101414671424972330288696699300913836088090171929749781582664965276773531499334295033118760359274030825472 binary64)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) (if (<=.f64 y #s(literal 370000000000000013313390566144931514570358276954411670787923574488886973326348268794571916689837680276401725746261325310256368922394624 binary64)) (/.f64 (-.f64 x y) (.f64 y (.f64 x #s(literal 2 binary64)))) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))))))
(if (<=.f64 y #s(literal -5092589940836215/254629497041810760783555711051172270131433549208242031329517556169297662470417088272924672 binary64)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 y #s(literal 5500000000000000296471177979063621114882105791579620141489748174168924490622038114133845475328 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))

soundness591.0ms (9.9%)

Memory

2.8MiB live, 272.8MiB allocated

Rules

16 868×	`lower-fma.f64`
16 868×	`lower-fma.f32`
5 688×	`lower-/.f32`
5 686×	`lower-/.f64`
4 398×	`lower-*.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	40	399
1	106	399
2	239	399
3	553	369
4	1457	369
5	2639	369
6	4362	369
7	5570	369
8	6051	369
9	6296	369
10	6416	369
11	7573	369
0	8021	366
0	7	20
0	11	20
1	43	20
2	301	18
3	4219	18
0	10118	18

Stop Event

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

Compiler

Compiled 122 to 62 computations (49.2% saved)

preprocess94.0ms (1.6%)

Memory: 31.4MiB live, 70.4MiB allocated
Compiler: Compiled 198 to 88 computations (55.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze22.0ms (0.4%)

sample809.0ms (13.6%)

preprocess520.0ms (8.8%)

explain122.0ms (2.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify264.0ms (4.4%)

localize21.0ms (0.4%)

series75.0ms (1.3%)

simplify474.0ms (8%)

rewrite887.0ms (14.9%)

eval255.0ms (4.3%)

prune86.0ms (1.5%)

simplify418.0ms (7%)

localize59.0ms (1%)

series4.0ms (0.1%)

simplify684.0ms (11.5%)

rewrite307.0ms (5.2%)

eval59.0ms (1%)

prune69.0ms (1.2%)

regimes7.0ms (0.1%)

regimes7.0ms (0.1%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

bsearch70.0ms (1.2%)

bsearch19.0ms (0.3%)

simplify10.0ms (0.2%)

soundness591.0ms (9.9%)

preprocess94.0ms (1.6%)

end0.0ms (0%)

Profiling