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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze26.0ms (0.4%)

Memory

1.4MiB live, 40.5MiB 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)

sample642.0ms (9.7%)

Memory

5.6MiB live, 1 469.8MiB allocated

Samples

422.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 236.0ms

ival-mult: 118.0ms (49.9% of total)

ival-sub: 53.0ms (22.4% of total)

ival-div: 52.0ms (22% of total)

ival-true: 6.0ms (2.5% of total)

exact: 5.0ms (2.1% of total)

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

Bogosity

explain72.0ms (1.1%)

Memory

29.7MiB live, 109.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
72	-	3	(-2.07994454478506e-88 7.146146826890104e-229)	`(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`
0	-	0	-	`(*.f64 x #s(literal 2 binary64))`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`y`
0	-	0	-	`(-.f64 x y)`
0	-	0	-	`(.f64 (.f64 x #s(literal 2 binary64)) y)`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`	n/u	36	0
↳	`(.f64 (.f64 x #s(literal 2 binary64)) y)`	underflow	36
`/.f64`	`(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`	n/o	33	0
↳	`(.f64 (.f64 x #s(literal 2 binary64)) y)`	overflow	33

Confusion

	Predicted +	Predicted -
+	69	3
-	0	184

Precision

1.0

Recall

0.9583333333333334

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	69	0	3
-	0	0	184

Precision?

1.0

Recall?

0.9583333333333334

Freqs

test

number	freq
0	187
1	69

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

29.0ms

512×

valid

Compiler

Compiled 86 to 38 computations (55.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-div: 6.0ms (36.9% of total)

ival-mult: 6.0ms (36.9% of total)

ival-sub: 3.0ms (18.5% of total)

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

exact: 0.0ms (0% of total)

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

preprocess354.0ms (5.3%)

Memory

-31.9MiB live, 404.2MiB 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))))

Compiler

Compiled 11 to 7 computations (36.4% saved)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB 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
▶	74.1%	(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))

Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify220.0ms (3.3%)

Memory

44.6MiB live, 313.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
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	0	(/.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)

localize23.0ms (0.4%)

Memory

-2.1MiB live, 35.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 x y)
accuracy	0	(.f64 (.f64 x #s(literal 2 binary64)) y)
accuracy	0	(*.f64 x #s(literal 2 binary64))
accuracy	16.568272937136456	(/.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: 6.0ms

ival-mult: 3.0ms (47.4% of total)

ival-div: 2.0ms (31.6% of total)

ival-sub: 1.0ms (15.8% of total)

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

exact: 0.0ms (0% of total)

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

series13.0ms (0.2%)

Memory

-26.6MiB live, 16.3MiB 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
4.0ms	y	@	-inf	(/ (- x y) (* (* x 2) y))
1.0ms	x	@	inf	(* x 2)
1.0ms	y	@	inf	(/ (- x y) (* (* x 2) y))
1.0ms	x	@	inf	(/ (- x y) (* (* x 2) y))
1.0ms	x	@	0	(/ (- x y) (* (* x 2) y))

simplify628.0ms (9.4%)

Memory

-125.5MiB live, 472.2MiB 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))

rewrite577.0ms (8.7%)

Memory

-34.9MiB live, 487.1MiB allocated

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)

eval113.0ms (1.7%)

Memory: 5.9MiB live, 157.2MiB allocated
Compiler: Compiled 16 841 to 1 711 computations (89.8% saved)

prune89.0ms (1.3%)

Memory

24.8MiB live, 254.6MiB allocated

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	698	6	704
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	698	7	705

Accuracy

100.0%

Counts

705 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	74.1%	(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))
▶	41.6%	(/.f64 #s(approx (- x y) (neg.f64 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))
▶	73.4%	(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x y)) (-.f64 x y))
	86.3%	#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y))
▶	46.2%	#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
▶	54.7%	#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))

Compiler

Compiled 119 to 77 computations (35.3% saved)

simplify287.0ms (4.3%)

Memory

-13.3MiB live, 317.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

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

Rules

5 402×	`lower-fma.f64`
5 402×	`lower-fma.f32`
3 426×	`lower-*.f32`
3 418×	`lower-*.f64`
1 812×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	24	106
0	36	104
1	59	104
2	132	100
3	303	100
4	934	100
5	2520	100
6	5720	100
0	8152	100

Stop Event

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

Calls

Call 1

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

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

localize76.0ms (1.1%)

Memory

14.6MiB live, 97.1MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 x y)
accuracy	0	(*.f64 x y)
accuracy	0.453384133417538	(/.f64 #s(literal 1/2 binary64) (*.f64 x y))
accuracy	16.583282706897656	(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x y)) (-.f64 x y))
accuracy	0	(*.f64 x #s(literal 2 binary64))
accuracy	0	(neg.f64 y)
accuracy	16.568272937136456	(/.f64 #s(approx (- x y) (neg.f64 y)) (.f64 (.f64 x #s(literal 2 binary64)) y))
accuracy	29.030893969512345	#s(approx (- x y) (neg.f64 y))
accuracy	0	(/.f64 #s(literal 1/2 binary64) y)
accuracy	34.43625277631257	#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
accuracy	0	(/.f64 #s(literal -1/2 binary64) x)
accuracy	29.019364820121893	#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))
accuracy	0	(/.f64 #s(literal 1/2 binary64) y)
accuracy	0	(/.f64 #s(literal 1/2 binary64) x)
accuracy	0.01171875	(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))

Samples

56.0ms

256×

valid

Compiler

Compiled 94 to 19 computations (79.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-mult: 19.0ms (60.7% of total)

ival-div: 8.0ms (25.6% of total)

ival-sub: 2.0ms (6.4% of total)

ival-neg: 1.0ms (3.2% of total)

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

exact: 0.0ms (0% of total)

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

series10.0ms (0.2%)

Memory

-17.4MiB live, 20.8MiB allocated

Counts

15 → 300

Calls

Call 1

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

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

75 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(* (* x 2) y)
0.0ms	y	@	0	(- (/ 1/2 y) (/ 1/2 x))
0.0ms	x	@	inf	(/ 1/2 (* x y))
0.0ms	y	@	inf	(/ 1/2 (* x y))
0.0ms	x	@	0	(/ 1/2 (* x y))

simplify457.0ms (6.9%)

Memory

6.8MiB live, 560.5MiB allocated

Algorithm

1×	egg-herbie

Rules

15 568×	`lower-fma.f64`
15 568×	`lower-fma.f32`
2 476×	`lower-*.f64`
2 476×	`lower-*.f32`
2 312×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	1356
1	108	1356
2	245	1356
3	572	1356
4	1496	1356
5	2681	1356
6	4510	1356
7	5758	1356
8	6262	1356
9	6431	1356
10	6549	1356
11	7623	1356
0	8059	1341

Stop Event

1×	iter limit
1×	node limit

Counts

300 → 294

Calls

Call 1

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

rewrite560.0ms (8.4%)

Memory

22.5MiB live, 575.8MiB allocated

Rules

5 700×	`lower-/.f32`
5 690×	`lower-/.f64`
4 242×	`lower-*.f32`
4 234×	`lower-*.f64`
3 134×	`lower-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	90
0	36	88
1	124	84
2	1003	84
0	8241	84

Stop Event

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

Counts

15 → 1 007

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

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

eval191.0ms (2.9%)

Memory: 25.5MiB live, 370.6MiB allocated
Compiler: Compiled 22 647 to 1 658 computations (92.7% saved)

prune350.0ms (5.3%)

Memory

-43.9MiB live, 173.2MiB allocated

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	1 327	0	1 327
Fresh	0	1	1
Picked	0	5	5
Done	0	1	1
Total	1 327	7	1 334

Accuracy

100.0%

Counts

1 334 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	74.1%	(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))
✓	41.6%	(/.f64 #s(approx (- x y) (neg.f64 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))
✓	73.4%	(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x y)) (-.f64 x y))
▶	86.3%	#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y))
✓	46.2%	#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
✓	54.7%	#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))

Compiler

Compiled 65 to 42 computations (35.4% saved)

simplify277.0ms (4.2%)

Memory

-0.7MiB live, 561.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 y x)
cost-diff	0	(fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y))
cost-diff	256	(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y)

Rules

10 282×	`lower-fma.f32`
10 280×	`lower-fma.f64`
2 822×	`lower-*.f64`
2 822×	`lower-*.f32`
2 032×	`lower-/.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	13	39
0	17	40
1	32	40
2	67	36
3	146	36
4	321	35
5	727	35
6	1628	35
7	3983	35
8	7468	35
0	8004	35

Stop Event

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

Calls

Call 1

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

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

localize32.0ms (0.5%)

Memory

28.6MiB live, 66.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64))
accuracy	0	(/.f64 y x)
accuracy	0	#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y))
accuracy	8.759669274898265	(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y)

Samples

22.0ms

256×

valid

Compiler

Compiled 34 to 15 computations (55.9% saved)

Precisions

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

ival-mult: 7.0ms (48.7% of total)

ival-div: 5.0ms (34.8% of total)

ival-sub: 1.0ms (7% of total)

ival-add: 1.0ms (7% of total)

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

exact: 0.0ms (0% of total)

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

series68.0ms (1%)

Memory

-30.6MiB live, 7.3MiB allocated

Counts

4 → 96

Calls

Call 1

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

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

Calls

24 calls:

Time	Variable		Point	Expression
64.0ms	y	@	-inf	(/ (+ (* -1/2 (/ y x)) 1/2) y)
0.0ms	y	@	inf	(/ (+ (* -1/2 (/ y x)) 1/2) y)
0.0ms	x	@	inf	(/ (+ (* -1/2 (/ y x)) 1/2) y)
0.0ms	x	@	0	(/ (+ (* -1/2 (/ y x)) 1/2) y)
0.0ms	x	@	-inf	(/ (+ (* -1/2 (/ y x)) 1/2) y)

simplify288.0ms (4.3%)

Memory

16.8MiB live, 324.2MiB allocated

Algorithm

1×	egg-herbie

Rules

4 580×	`lower-fma.f64`
4 580×	`lower-fma.f32`
2 868×	`lower-*.f64`
2 868×	`lower-*.f32`
1 602×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	576
1	66	576
2	142	576
3	389	576
4	739	504
5	1472	504
6	3848	504
7	5910	504
8	7128	504
9	7615	504
10	7750	504
11	7904	504
12	7932	504
0	8245	486

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

Calls

Call 1

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

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

rewrite296.0ms (4.5%)

Memory

43.1MiB live, 464.5MiB allocated

Rules

4 432×	`lower-*.f64`
4 432×	`lower-*.f32`
4 162×	`lower-/.f32`
4 158×	`lower-/.f64`
3 578×	`lower-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	35
0	17	35
1	79	35
2	555	33
3	7342	33
0	8259	33

Stop Event

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

Counts

4 → 236

Calls

Call 1

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

Outputs
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 #s(literal -1/2 binary64) (/.f64 y x))))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 y x)) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 #s(literal -1/2 binary64) (/.f64 y x))) (/.f64 #s(literal 1/2 binary64) y))
(+.f64 (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 y x)) (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1/2 binary64) y))
(exp.f64 (*.f64 (log.f64 (/.f64 y (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) y))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) y))
(-.f64 (/.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal -1/2 binary64)) (.f64 x x))) y) (/.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal -1/2 binary64))) y))
(-.f64 (/.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 x x)) (.f64 y (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal -1/2 binary64)))) (/.f64 #s(literal 1/4 binary64) (*.f64 y (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal -1/2 binary64)))))
(fma.f64 x (/.f64 #s(literal 1/2 binary64) (.f64 y x)) (.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal -1/2 binary64) (/.f64 y x))))
(fma.f64 x (/.f64 #s(literal 1/2 binary64) (.f64 y x)) (.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y x)) (/.f64 #s(literal 1 binary64) y)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y) (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 #s(literal -1/2 binary64) (/.f64 y x))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y) (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 y x)) (/.f64 #s(literal 1 binary64) y)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y x)) (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1/2 binary64) y))
(fma.f64 (neg.f64 x) (neg.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y x))) (.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal -1/2 binary64) (/.f64 y x))))
(fma.f64 (neg.f64 x) (neg.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y x))) (.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y x)) (/.f64 #s(literal 1 binary64) y)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y) (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 #s(literal -1/2 binary64) (/.f64 y x))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y) (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 y x)) (/.f64 #s(literal 1 binary64) y)))
(fma.f64 (/.f64 x y) (/.f64 #s(literal 1/2 binary64) x) (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 #s(literal -1/2 binary64) (/.f64 y x))))
(fma.f64 (/.f64 x y) (/.f64 #s(literal 1/2 binary64) x) (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 y x)) (/.f64 #s(literal 1 binary64) y)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (.f64 y #s(literal 2 binary64))) (.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal -1/2 binary64) (/.f64 y x))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (.f64 y #s(literal 2 binary64))) (.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y x)) (/.f64 #s(literal 1 binary64) y)))
(fma.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 #s(literal -1/2 binary64) (/.f64 y x))))
(fma.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64) (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 y x)) (/.f64 #s(literal 1 binary64) y)))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal -1/2 binary64) (/.f64 y x)) (/.f64 #s(literal 1/2 binary64) y))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y x)) x (.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal -1/2 binary64) (/.f64 y x))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y x)) x (.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y x)) (/.f64 #s(literal 1 binary64) y)))
(fma.f64 #s(literal -1 binary64) (/.f64 x (.f64 y (.f64 x #s(literal -2 binary64)))) (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 #s(literal -1/2 binary64) (/.f64 y x))))
(fma.f64 #s(literal -1 binary64) (/.f64 x (.f64 y (.f64 x #s(literal -2 binary64)))) (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 y x)) (/.f64 #s(literal 1 binary64) y)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 x y) (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 #s(literal -1/2 binary64) (/.f64 y x))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 x y) (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 y x)) (/.f64 #s(literal 1 binary64) y)))
(fma.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x (.f64 x #s(literal -2 binary64))) (.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal -1/2 binary64) (/.f64 y x))))
(fma.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x (.f64 x #s(literal -2 binary64))) (.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y x)) (/.f64 #s(literal 1 binary64) y)))
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 x (.f64 y #s(literal -2 binary64))) (.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal -1/2 binary64) (/.f64 y x))))
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 x (.f64 y #s(literal -2 binary64))) (.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y x)) (/.f64 #s(literal 1 binary64) y)))
(fma.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) x)) (/.f64 x (neg.f64 y)) (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 #s(literal -1/2 binary64) (/.f64 y x))))
(fma.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) x)) (/.f64 x (neg.f64 y)) (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 y x)) (/.f64 #s(literal 1 binary64) y)))
(fma.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) x) (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 #s(literal -1/2 binary64) (/.f64 y x))))
(fma.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) x) (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 y x)) (/.f64 #s(literal 1 binary64) y)))
(neg.f64 (/.f64 (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) y))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) y)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 y (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)))))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y)
(/.f64 (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (neg.f64 y))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x))) #s(literal 1/8 binary64)) (.f64 y (fma.f64 (/.f64 y x) (-.f64 (.f64 (/.f64 y x) #s(literal 1/4 binary64)) #s(literal -1/4 binary64)) #s(literal 1/4 binary64))))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x))) #s(literal 1/8 binary64)) (.f64 (neg.f64 (fma.f64 (/.f64 y x) (-.f64 (.f64 (/.f64 y x) #s(literal 1/4 binary64)) #s(literal -1/4 binary64)) #s(literal 1/4 binary64))) (neg.f64 y)))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x))) #s(literal 1/8 binary64)) (.f64 (neg.f64 y) (neg.f64 (fma.f64 (/.f64 y x) (-.f64 (.f64 (/.f64 y x) #s(literal 1/4 binary64)) #s(literal -1/4 binary64)) #s(literal 1/4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64))))
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(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 y y) (.f64 x x)) #s(literal -1/4 binary64)))) (neg.f64 (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 x x)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 y x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal -1/2 binary64)) (.f64 x x))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal -1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal -1/2 binary64)) (.f64 x x))) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal -1/2 binary64)) (.f64 x x))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal -1/2 binary64))) (.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal -1/2 binary64)) (*.f64 x x))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal -1/2 binary64)))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal -1/2 binary64)) (.f64 x x))) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal -1/2 binary64)) (.f64 x x)))) (.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal -1/2 binary64))))) (+.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal -1/2 binary64)) (.f64 x x))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal -1/2 binary64)))))
(/.f64 (.f64 (fma.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) #s(literal -1/8 binary64)) (.f64 x (.f64 x x))) (/.f64 (.f64 (.f64 (.f64 y (.f64 y y)) #s(literal -1/8 binary64)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/8 binary64))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 1/512 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y x) (-.f64 (.f64 (/.f64 y x) #s(literal 1/4 binary64)) #s(literal -1/4 binary64)) #s(literal 1/4 binary64)))) (fma.f64 #s(literal 1/64 binary64) (.f64 (/.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x))) (/.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x)))) (-.f64 #s(literal 1/64 binary64) (.f64 (/.f64 (.f64 y (.f64 y y)) (.f64 x (*.f64 x x))) #s(literal -1/64 binary64)))))
(/.f64 (.f64 (fma.f64 #s(literal 1/64 binary64) (.f64 (/.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x))) (/.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x)))) #s(literal -1/64 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y x) (-.f64 (.f64 (/.f64 y x) #s(literal 1/4 binary64)) #s(literal -1/4 binary64)) #s(literal 1/4 binary64)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 y (.f64 y y)) (.f64 x (*.f64 x x))) #s(literal -1/8 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal 1/64 binary64) (.f64 (/.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x))) (/.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x)))) #s(literal -1/64 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal -1/2 binary64)))) (fma.f64 #s(literal 1/16 binary64) (.f64 (/.f64 (.f64 y y) (.f64 x x)) (/.f64 (.f64 y y) (.f64 x x))) (fma.f64 (/.f64 (.f64 y y) (*.f64 x x)) #s(literal 1/16 binary64) #s(literal 1/16 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 (/.f64 (.f64 y y) (.f64 x x)) #s(literal 1/16 binary64)) (/.f64 (.f64 y y) (.f64 x x)) #s(literal -1/16 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal -1/2 binary64)))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 y y) (.f64 x x)) #s(literal 1/4 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x))) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y x) (-.f64 (.f64 (/.f64 y x) #s(literal 1/4 binary64)) #s(literal -1/4 binary64)) #s(literal 1/4 binary64))))
(.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x))) #s(literal 1/8 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y x) (-.f64 (*.f64 (/.f64 y x) #s(literal 1/4 binary64)) #s(literal -1/4 binary64)) #s(literal 1/4 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)))
(.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 y y) (*.f64 x x)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal -1/2 binary64))))
(.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 y y) (.f64 x x)) #s(literal -1/4 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))
(.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x))) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (/.f64 y x) (-.f64 (.f64 (/.f64 y x) #s(literal 1/4 binary64)) #s(literal -1/4 binary64)) #s(literal 1/4 binary64)))))
(.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 y y) (*.f64 x x)) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y x) (-.f64 (.f64 (/.f64 y x) #s(literal 1/4 binary64)) #s(literal -1/4 binary64)) #s(literal 1/4 binary64))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x))) #s(literal 1/8 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal -1/2 binary64))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 y y) (*.f64 x x)) #s(literal -1/4 binary64)))
(.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 y x)))))
(.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 y y) (.f64 x x)) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 y y) (*.f64 x x)) #s(literal -1/4 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)))
(.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x))) #s(literal 1/8 binary64)) (fma.f64 (fma.f64 (/.f64 y x) #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (.f64 (fma.f64 (/.f64 y x) #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (fma.f64 (/.f64 y x) #s(literal 1/4 binary64) #s(literal 1/4 binary64))) (/.f64 (.f64 (.f64 (.f64 y (.f64 y y)) #s(literal -1/8 binary64)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/8 binary64))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) (fma.f64 (fma.f64 (/.f64 y x) #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (-.f64 (fma.f64 (/.f64 y x) #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 x x))) (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 #s(literal 1/4 binary64) (.f64 y y))) (.f64 x (.f64 x (*.f64 x x))))))
(.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x))) #s(literal 1/8 binary64)) (.f64 (fma.f64 (/.f64 y x) (-.f64 (.f64 (/.f64 y x) #s(literal 1/4 binary64)) #s(literal -1/4 binary64)) #s(literal 1/4 binary64)) (+.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 y y) (.f64 x x)) #s(literal -1/4 binary64)) (/.f64 (.f64 y #s(literal -1/4 binary64)) x)))) (+.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 y y) (.f64 x x)) #s(literal -1/4 binary64)) (/.f64 (*.f64 y #s(literal -1/4 binary64)) x)))
(.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 y y) (.f64 x x)) #s(literal -1/4 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x))) #s(literal -1/8 binary64))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 y y) (*.f64 x x)) (fma.f64 (/.f64 y x) #s(literal -1/4 binary64) #s(literal 1/4 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) x))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 (neg.f64 y) x))
(neg.f64 (/.f64 (neg.f64 y) x))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) x)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 x y)))
(/.f64 y x)
(/.f64 (neg.f64 y) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal -1 binary64) (/.f64 x (neg.f64 y)))
(/.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) (neg.f64 x))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (neg.f64 x))
(pow.f64 (/.f64 x y) #s(literal -1 binary64))
(*.f64 y (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 y x) #s(literal 1 binary64))
(*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal 1 binary64) (/.f64 y x))
(*.f64 (/.f64 #s(literal 1 binary64) x) y)
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) x))
(*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 y)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (pow.f64 (/.f64 x y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 x y) #s(literal -1/2 binary64)))

eval48.0ms (0.7%)

Memory: 4.8MiB live, 83.7MiB allocated
Compiler: Compiled 6 902 to 638 computations (90.8% saved)

prune37.0ms (0.6%)

Memory

-22.9MiB live, 91.2MiB allocated

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	332	0	332
Fresh	0	0	0
Picked	0	1	1
Done	0	6	6
Total	332	7	339

Accuracy

100.0%

Counts

339 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	74.1%	(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))
✓	41.6%	(/.f64 #s(approx (- x y) (neg.f64 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))
✓	73.4%	(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x y)) (-.f64 x y))
✓	86.3%	#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y))
✓	46.2%	#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
✓	54.7%	#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))

Compiler

Compiled 118 to 63 computations (46.6% saved)

regimes9.0ms (0.1%)

Memory

25.5MiB live, 25.5MiB allocated

Counts

7 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
100.0%	1	`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)

regimes10.0ms (0.1%)

Memory

-22.1MiB live, 22.6MiB allocated

Counts

5 → 5

Calls

Call 1

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
84.8%	4	`x`
86.6%	5	`y`
87.5%	5	`(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`

Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes2.0ms (0%)

Memory

7.1MiB live, 7.1MiB 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 #s(approx (- x y) (neg.f64 y)) (.f64 (.f64 x #s(literal 2 binary64)) y))
(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x y)) (-.f64 x y))

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

Calls

1 calls:

2.0ms

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

Results

Accuracy	Segments	Branch
86.8%	5	`(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes7.0ms (0.1%)

Memory

-21.7MiB live, 17.6MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs

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

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

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

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

Results

Accuracy	Segments	Branch
73.0%	3	`x`
76.2%	3	`y`
58.3%	3	`(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`

Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes4.0ms (0.1%)

Memory

13.0MiB live, 13.0MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
54.7%	1	`(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`
54.7%	1	`x`
54.7%	1	`y`

Compiler

Compiled 17 to 11 computations (35.3% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	1.2510943780001296e+303	+inf
0.0ms	0.0	2.0138910710645435e-112
0.0ms	-7.85200346087935e-98	-4.360868707988524e-121
0.0ms	-inf	-2.921133619333026e+305

Compiler

Compiled 14 to 12 computations (14.3% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	1.2510943780001296e+303	+inf
0.0ms	2.0138910710645435e-112	5.782197119068137e-110
0.0ms	-7.85200346087935e-98	-4.360868707988524e-121
0.0ms	-inf	-2.921133619333026e+305

Compiler

Compiled 14 to 12 computations (14.3% saved)

bsearch23.0ms (0.3%)

Memory

11.3MiB live, 49.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	4.378623251594919e-17	9.741364860860878e-15
12.0ms	-1.0814110743464058e-18	-3.2685356833291343e-22

Samples

11.0ms

240×

valid

Compiler

Compiled 224 to 162 computations (27.7% saved)

Precisions

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

ival-mult: 3.0ms (50.6% of total)

ival-sub: 1.0ms (16.9% of total)

ival-div: 1.0ms (16.9% 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

-20.8MiB live, 18.3MiB allocated

Algorithm

1×	egg-herbie

Rules

16×	`*-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	46	277
1	54	277
2	65	277
3	73	277
4	79	277
5	81	277

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 (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #s(literal -inf.0 binary64)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) (if (<=.f64 (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #s(literal -7695704335233297/153914086704665934422965000391185991426092731525255651046673021110334850669910978950836977558144201721900890587136 binary64)) (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) (if (<=.f64 (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #s(literal 0 binary64)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #s(literal 2000000000000000000323530153572912876425337292463318876590990034202234998451477495730520486068427830507559547136360674832054891641135558399286783083212052137222301492244569952354513300088401054553614654135380924225322855000394102452979796521357526782898752177094584641628255914972661310937838244526555136 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 (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #s(literal -inf.0 binary64)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) (if (<=.f64 (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #s(literal -7695704335233297/153914086704665934422965000391185991426092731525255651046673021110334850669910978950836977558144201721900890587136 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x y)) (-.f64 x y)) (if (<=.f64 (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #s(literal 4332296397063773/10830740992659433045228180406808920716548582325686783496759685861775864483615725089999900023844295226942934417817982702456930304 binary64)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #s(literal 2000000000000000000323530153572912876425337292463318876590990034202234998451477495730520486068427830507559547136360674832054891641135558399286783083212052137222301492244569952354513300088401054553614654135380924225322855000394102452979796521357526782898752177094584641628255914972661310937838244526555136 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x y)) (-.f64 x y)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))))))
(if (<=.f64 y #s(literal -8099983099314331/20769187434139310514121985316880384 binary64)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 y #s(literal 7788445287802241/162259276829213363391578010288128 binary64)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))))
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))

Outputs
(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(if (<=.f64 (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #s(literal -inf.0 binary64)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) (if (<=.f64 (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #s(literal -7695704335233297/153914086704665934422965000391185991426092731525255651046673021110334850669910978950836977558144201721900890587136 binary64)) (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) (if (<=.f64 (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #s(literal 0 binary64)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #s(literal 2000000000000000000323530153572912876425337292463318876590990034202234998451477495730520486068427830507559547136360674832054891641135558399286783083212052137222301492244569952354513300088401054553614654135380924225322855000394102452979796521357526782898752177094584641628255914972661310937838244526555136 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 (/.f64 (-.f64 x y) (.f64 y (.f64 x #s(literal 2 binary64)))) #s(literal -inf.0 binary64)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) (if (<=.f64 (/.f64 (-.f64 x y) (.f64 y (.f64 x #s(literal 2 binary64)))) #s(literal -7695704335233297/153914086704665934422965000391185991426092731525255651046673021110334850669910978950836977558144201721900890587136 binary64)) (/.f64 (-.f64 x y) (.f64 y (.f64 x #s(literal 2 binary64)))) (if (<=.f64 (/.f64 (-.f64 x y) (.f64 y (.f64 x #s(literal 2 binary64)))) #s(literal 0 binary64)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 (/.f64 (-.f64 x y) (.f64 y (.f64 x #s(literal 2 binary64)))) #s(literal 2000000000000000000323530153572912876425337292463318876590990034202234998451477495730520486068427830507559547136360674832054891641135558399286783083212052137222301492244569952354513300088401054553614654135380924225322855000394102452979796521357526782898752177094584641628255914972661310937838244526555136 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 (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #s(literal -inf.0 binary64)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) (if (<=.f64 (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #s(literal -7695704335233297/153914086704665934422965000391185991426092731525255651046673021110334850669910978950836977558144201721900890587136 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x y)) (-.f64 x y)) (if (<=.f64 (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #s(literal 4332296397063773/10830740992659433045228180406808920716548582325686783496759685861775864483615725089999900023844295226942934417817982702456930304 binary64)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #s(literal 2000000000000000000323530153572912876425337292463318876590990034202234998451477495730520486068427830507559547136360674832054891641135558399286783083212052137222301492244569952354513300088401054553614654135380924225322855000394102452979796521357526782898752177094584641628255914972661310937838244526555136 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x y)) (-.f64 x y)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))))))
(if (<=.f64 (/.f64 (-.f64 x y) (.f64 y (.f64 x #s(literal 2 binary64)))) #s(literal -inf.0 binary64)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) (if (<=.f64 (/.f64 (-.f64 x y) (.f64 y (.f64 x #s(literal 2 binary64)))) #s(literal -7695704335233297/153914086704665934422965000391185991426092731525255651046673021110334850669910978950836977558144201721900890587136 binary64)) (.f64 (-.f64 x y) (/.f64 #s(literal 1/2 binary64) (.f64 y x))) (if (<=.f64 (/.f64 (-.f64 x y) (.f64 y (.f64 x #s(literal 2 binary64)))) #s(literal 4332296397063773/10830740992659433045228180406808920716548582325686783496759685861775864483615725089999900023844295226942934417817982702456930304 binary64)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 (/.f64 (-.f64 x y) (.f64 y (.f64 x #s(literal 2 binary64)))) #s(literal 2000000000000000000323530153572912876425337292463318876590990034202234998451477495730520486068427830507559547136360674832054891641135558399286783083212052137222301492244569952354513300088401054553614654135380924225322855000394102452979796521357526782898752177094584641628255914972661310937838244526555136 binary64)) (.f64 (-.f64 x y) (/.f64 #s(literal 1/2 binary64) (.f64 y x))) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))))))
(if (<=.f64 y #s(literal -8099983099314331/20769187434139310514121985316880384 binary64)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 y #s(literal 7788445287802241/162259276829213363391578010288128 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))

soundness797.0ms (12%)

Memory

1.9MiB live, 372.9MiB 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 262 to 90 computations (65.6% saved)

preprocess48.0ms (0.7%)

Memory: 8.1MiB live, 123.6MiB allocated
Compiler: Compiled 418 to 106 computations (74.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze26.0ms (0.4%)

sample642.0ms (9.7%)

explain72.0ms (1.1%)

preprocess354.0ms (5.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify220.0ms (3.3%)

localize23.0ms (0.4%)

series13.0ms (0.2%)

simplify628.0ms (9.4%)

rewrite577.0ms (8.7%)

eval113.0ms (1.7%)

prune89.0ms (1.3%)

simplify287.0ms (4.3%)

localize76.0ms (1.1%)

series10.0ms (0.2%)

simplify457.0ms (6.9%)

rewrite560.0ms (8.4%)

eval191.0ms (2.9%)

prune350.0ms (5.3%)

simplify277.0ms (4.2%)

localize32.0ms (0.5%)

series68.0ms (1%)

simplify288.0ms (4.3%)

rewrite296.0ms (4.5%)

eval48.0ms (0.7%)

prune37.0ms (0.6%)

regimes9.0ms (0.1%)

regimes10.0ms (0.1%)

regimes2.0ms (0%)

regimes7.0ms (0.1%)

regimes4.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch23.0ms (0.3%)

simplify10.0ms (0.2%)

soundness797.0ms (12%)

preprocess48.0ms (0.7%)

end0.0ms (0%)

Profiling