Metrics for Data.Random.Distribution.T:$ccdf from random-fu-0.2.6.2

analyze33.0ms (0.7%)

Memory

-19.3MiB live, 20.4MiB 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
50%	50%	50%	0.1%	0%	0%	0%	3
50%	50%	50%	0.1%	0%	0%	0%	4
75%	74.9%	25%	0.1%	0%	0%	0%	5
75%	74.9%	25%	0.1%	0%	0%	0%	6
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	7
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	8
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	9
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	10
96.9%	96.8%	3.1%	0.1%	0%	0%	0%	11
96.9%	96.8%	3.1%	0.1%	0%	0%	0%	12

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample778.0ms (17%)

Memory

41.8MiB live, 1 023.3MiB allocated

Samples

400.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 160.0ms

ival-add: 85.0ms (53.3% of total)

ival-div: 66.0ms (41.3% of total)

ival-true: 6.0ms (3.8% of total)

ival-assert: 3.0ms (1.9% of total)

Bogosity

preprocess107.0ms (2.3%)

Memory

-19.5MiB live, 62.8MiB allocated

Algorithm

1×	egg-herbie

Rules

856×	`times-frac`
820×	`distribute-lft-in`
772×	`distribute-rgt-in`
636×	`div-sub`
544×	`associate-/r*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	41
1	42	35
2	106	35
3	310	35
4	1262	35
5	2388	35
6	3252	35
7	3801	35
8	4253	35
9	4303	35
10	4335	35
11	4411	35
12	4595	35
0	5	7
0	8	7
1	11	7
2	14	7
3	16	7
0	16	7

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

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

Outputs
(/.f64 (+.f64 x y) (+.f64 y y))

explain69.0ms (1.5%)

Memory

-2.2MiB live, 75.5MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(+.f64 y y)`
-	-	`(/.f64 (+.f64 x y) (+.f64 y y))`
-	-	`y`
-	-	`(+.f64 x y)`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

21.0ms

512×

valid

Compiler

Compiled 52 to 24 computations (53.8% saved)

Precisions

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

ival-add: 5.0ms (54.1% of total)

ival-div: 4.0ms (43.3% of total)

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 (+.f64 x y) (+.f64 y y))

Compiler

Compiled 9 to 5 computations (44.4% saved)

simplify4.0ms (0.1%)

Memory

4.1MiB live, 4.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Program
✓	cost-diff	(+.f64 y y)
✓	cost-diff	(+.f64 x y)
✓	cost-diff	(/.f64 (+.f64 x y) (+.f64 y y))

Rules

10×	`lower-/.f32`
8×	`lower-/.f64`
6×	`lower-+.f32`
4×	`lift-+.f64`
4×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	15
0	8	15
1	11	15
2	14	15
3	16	15
0	16	15

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

Outputs
(/.f64 (+.f64 x y) (+.f64 y y))
(+.f64 x y)
x
y
(+.f64 y y)

localize25.0ms (0.5%)

Memory

-16.4MiB live, 25.1MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 y y)
✓	accuracy	100.0%	(+.f64 x y)
✓	accuracy	100.0%	(/.f64 (+.f64 x y) (+.f64 y y))

Samples

19.0ms

256×

valid

Compiler

Compiled 17 to 7 computations (58.8% saved)

Precisions

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

ival-div: 2.0ms (43.9% of total)

ival-add: 2.0ms (43.9% of total)

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

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

series5.0ms (0.1%)

Memory

8.5MiB live, 8.5MiB allocated

Counts

3 → 60

Calls

Call 1

Inputs
#<alt (/.f64 (+.f64 x y) (+.f64 y y))>
#<alt (+.f64 x y)>
#<alt (+.f64 y y)>

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

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	y	@	0	(+ y y)
1.0ms	x	@	inf	(/ (+ x y) (+ y y))
1.0ms	y	@	0	(/ (+ x y) (+ y y))
0.0ms	x	@	0	(/ (+ x y) (+ y y))
0.0ms	y	@	inf	(/ (+ x y) (+ y y))

simplify243.0ms (5.3%)

Memory

12.3MiB live, 181.2MiB allocated

Algorithm

1×	egg-herbie

Rules

4 752×	`lower-fma.f64`
4 752×	`lower-fma.f32`
2 672×	`lower-*.f64`
2 672×	`lower-*.f32`
1 714×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	240
1	95	240
2	195	240
3	539	240
4	2494	240
5	4900	240
6	6147	240
7	7103	240
8	7625	240
0	8012	222

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 54

Calls

Call 1

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

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

rewrite77.0ms (1.7%)

Memory

-8.6MiB live, 67.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

150×	`lower-/.f32`
148×	`lower-/.f64`
128×	`lower-*.f64`
128×	`lower-*.f32`
76×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	13
0	8	13
1	38	13
0	305	13

Stop Event

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

Counts

3 → 61

Calls

Call 1

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

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

eval31.0ms (0.7%)

Memory: -10.0MiB live, 27.1MiB allocated
Compiler: Compiled 1 183 to 160 computations (86.5% saved)

prune9.0ms (0.2%)

Memory

24.4MiB live, 24.4MiB allocated

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	111	4	115
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	112	4	116

Accuracy

100.0%

Counts

116 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	4.2%	(*.f64 (+.f64 y y) (+.f64 x y))
▶	99.7%	#s(approx (/ (+ x y) (+ y y)) (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)))
▶	47.8%	#s(approx (/ (+ x y) (+ y y)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))
▶	53.8%	#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))

Compiler

Compiled 30 to 18 computations (40% saved)

simplify18.0ms (0.4%)

Memory

-26.4MiB live, 18.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

New	Metric	Program
✓	cost-diff	(+.f64 x y)
✓	cost-diff	(+.f64 y y)
✓	cost-diff	(*.f64 (+.f64 y y) (+.f64 x y))
✓	cost-diff	(/.f64 x y)
✓	cost-diff	(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))
✓	cost-diff	#s(approx (/ (+ x y) (+ y y)) (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)))
✓	cost-diff	(*.f64 #s(literal 1/2 binary64) x)
✓	cost-diff	(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
✓	cost-diff	#s(approx (/ (+ x y) (+ y y)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))
✓	cost-diff	#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))

Rules

114×	`lower-fma.f32`
112×	`lower-fma.f64`
84×	`lower-+.f32`
80×	`lower-+.f64`
78×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	75
0	23	75
1	37	75
2	65	75
3	110	75
4	146	75
5	179	75
0	179	75

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize45.0ms (1%)

Memory

1.0MiB live, 78.2MiB allocated

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 y y)
✓	accuracy	100.0%	(+.f64 x y)
✓	accuracy	100.0%	(*.f64 (+.f64 y y) (+.f64 x y))
✓	accuracy	100.0%	(/.f64 x y)
✓	accuracy	100.0%	#s(approx (/ (+ x y) (+ y y)) (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)))
✓	accuracy	99.7%	(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))
✓	accuracy	100.0%	(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) x)
✓	accuracy	47.8%	#s(approx (/ (+ x y) (+ y y)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))
✓	accuracy	53.8%	#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))

Samples

25.0ms

256×

valid

Compiler

Compiled 63 to 14 computations (77.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-div: 7.0ms (46% of total)

ival-add: 4.0ms (26.3% of total)

ival-mult: 4.0ms (26.3% 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

14.8MiB live, 14.8MiB allocated

Counts

10 → 216

Calls

Call 1

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

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

Calls

54 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(+ (* 1/2 (/ x y)) 1/2)
1.0ms	x	@	inf	(/ (* 1/2 x) y)
1.0ms	x	@	0	(/ (* 1/2 x) y)
0.0ms	y	@	0	(/ (* 1/2 x) y)
0.0ms	y	@	inf	(/ (* 1/2 x) y)

simplify264.0ms (5.8%)

Memory

-0.4MiB live, 273.8MiB allocated

Algorithm

1×	egg-herbie

Rules

5 472×	`lower-fma.f64`
5 472×	`lower-fma.f32`
3 286×	`lower-*.f64`
3 286×	`lower-*.f32`
1 318×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	1056
1	176	1056
2	393	1056
3	1169	1056
4	2718	1056
5	5963	1056
0	8114	984

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 210

Calls

Call 1

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

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

rewrite70.0ms (1.5%)

Memory

10.2MiB live, 84.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

388×	`lower-*.f32`
384×	`lower-*.f64`
360×	`lower-/.f32`
356×	`lower-/.f64`
316×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	66
0	23	66
1	90	66
0	712	66

Stop Event

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

Counts

10 → 194

Calls

Call 1

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

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

eval80.0ms (1.7%)

Memory: -9.9MiB live, 55.2MiB allocated
Compiler: Compiled 3 928 to 403 computations (89.7% saved)

prune47.0ms (1%)

Memory

-4.7MiB live, 72.1MiB allocated

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	399	5	404
Fresh	0	0	0
Picked	0	4	4
Done	0	0	0
Total	399	9	408

Accuracy

100.0%

Counts

408 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	3.5%	(fma.f64 (+.f64 y y) x (+.f64 y y))
▶	3.7%	(fma.f64 #s(literal -2 binary64) y (*.f64 x (+.f64 y y)))
✓	4.2%	(*.f64 (+.f64 y y) (+.f64 x y))
▶	29.1%	#s(approx (/ (+ x y) (+ y y)) (fma.f64 (+.f64 y y) x #s(literal 1/2 binary64)))
✓	99.7%	#s(approx (/ (+ x y) (+ y y)) (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)))
✓	47.8%	#s(approx (/ (+ x y) (+ y y)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))
▶	3.7%	#s(approx (/ (+ x y) (+ y y)) (*.f64 (+.f64 y y) x))
✓	53.8%	#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))
▶	3.4%	#s(approx (* (+ y y) (+ x y)) (.f64 y (.f64 y #s(literal 2 binary64))))

Compiler

Compiled 120 to 66 computations (45% saved)

simplify49.0ms (1.1%)

Memory

-4.1MiB live, 34.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 y y)
✓	cost-diff	0	(*.f64 x (+.f64 y y))
✓	cost-diff	192	(fma.f64 #s(literal -2 binary64) y (*.f64 x (+.f64 y y)))
✓	cost-diff	0	(+.f64 y y)
✓	cost-diff	64	(fma.f64 (+.f64 y y) x (+.f64 y y))
✓	cost-diff	0	(.f64 y (.f64 y #s(literal 2 binary64)))
✓	cost-diff	0	#s(approx (* (+ y y) (+ x y)) (.f64 y (.f64 y #s(literal 2 binary64))))
✓	cost-diff	128	(*.f64 y #s(literal 2 binary64))
✓	cost-diff	0	(+.f64 y y)
✓	cost-diff	0	(*.f64 (+.f64 y y) x)
✓	cost-diff	0	#s(approx (/ (+ x y) (+ y y)) (*.f64 (+.f64 y y) x))
✓	cost-diff	0	(+.f64 y y)
✓	cost-diff	0	(fma.f64 (+.f64 y y) x #s(literal 1/2 binary64))
✓	cost-diff	0	#s(approx (/ (+ x y) (+ y y)) (fma.f64 (+.f64 y y) x #s(literal 1/2 binary64)))

Rules

594×	`lower-fma.f32`
588×	`lower-fma.f64`
302×	`lower-*.f32`
294×	`lower-*.f64`
192×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	104
0	30	104
1	55	103
2	127	102
3	215	102
4	293	102
5	324	102
6	418	102
7	418	102
8	439	102
9	495	102
10	600	102
11	672	102
12	721	102
13	721	102
0	721	98

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize65.0ms (1.4%)

Memory

-24.9MiB live, 94.9MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 y y)
✓	accuracy	100.0%	(*.f64 x (+.f64 y y))
✓	accuracy	100.0%	(fma.f64 #s(literal -2 binary64) y (*.f64 x (+.f64 y y)))
✓	accuracy	100.0%	(fma.f64 (+.f64 y y) x (+.f64 y y))
✓	accuracy	100.0%	(+.f64 y y)
✓	accuracy	100.0%	(.f64 y (.f64 y #s(literal 2 binary64)))
✓	accuracy	100.0%	(*.f64 y #s(literal 2 binary64))
✓	accuracy	59.8%	#s(approx (* (+ y y) (+ x y)) (.f64 y (.f64 y #s(literal 2 binary64))))
✓	accuracy	100.0%	(+.f64 y y)
✓	accuracy	100.0%	(*.f64 (+.f64 y y) x)
✓	accuracy	3.7%	#s(approx (/ (+ x y) (+ y y)) (*.f64 (+.f64 y y) x))
✓	accuracy	100.0%	(fma.f64 (+.f64 y y) x #s(literal 1/2 binary64))
✓	accuracy	100.0%	(+.f64 y y)
✓	accuracy	29.1%	#s(approx (/ (+ x y) (+ y y)) (fma.f64 (+.f64 y y) x #s(literal 1/2 binary64)))

Samples

29.0ms

256×

valid

Compiler

Compiled 90 to 19 computations (78.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-mult: 9.0ms (53% of total)

ival-add: 6.0ms (35.3% of total)

ival-div: 2.0ms (11.8% of total)

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

exact: 0.0ms (0% of total)

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

series7.0ms (0.1%)

Memory

13.0MiB live, 13.0MiB allocated

Counts

11 → 228

Calls

Call 1

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

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

Calls

57 calls:

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

simplify290.0ms (6.3%)

Memory

-6.7MiB live, 267.3MiB allocated

Algorithm

1×	egg-herbie

Rules

4 586×	`lower-fma.f64`
4 586×	`lower-fma.f32`
2 968×	`lower-*.f64`
2 968×	`lower-*.f32`
1 594×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	78	1284
1	252	1284
2	652	1284
3	1361	1284
4	3001	1284
5	6798	1284
0	8069	1188

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 228

Calls

Call 1

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

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

rewrite134.0ms (2.9%)

Memory

14.8MiB live, 146.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

1 340×	`lower-fma.f32`
1 334×	`lower-fma.f64`
406×	`lower-*.f32`
398×	`lower-*.f64`
344×	`lower-/.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	83
0	30	79
1	121	77
0	1101	77

Stop Event

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

Counts

11 → 780

Calls

Call 1

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

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

eval280.0ms (6.1%)

Memory: 2.6MiB live, 308.4MiB allocated
Compiler: Compiled 16 487 to 1 198 computations (92.7% saved)

prune189.0ms (4.1%)

Memory

8.3MiB live, 415.2MiB allocated

Pruning

20 alts after pruning (15 fresh and 5 done)

	Pruned	Kept	Total
New	1 397	15	1 412
Fresh	0	0	0
Picked	3	2	5
Done	1	3	4
Total	1 401	20	1 421

Accuracy

100.0%

Counts

1 421 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	29.1%	#s(approx (/ (+ x y) (+ y y)) (fma.f64 (+.f64 y y) x #s(literal 1/2 binary64)))
✓	99.7%	#s(approx (/ (+ x y) (+ y y)) (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)))
✓	47.8%	#s(approx (/ (+ x y) (+ y y)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))
▶	47.7%	#s(approx (/ (+ x y) (+ y y)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
✓	3.7%	#s(approx (/ (+ x y) (+ y y)) (*.f64 (+.f64 y y) x))
	3.7%	#s(approx (/ (+ x y) (+ y y)) (.f64 (.f64 (+.f64 y y) #s(literal 2 binary64)) x))
✓	53.8%	#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))
	3.7%	#s(approx (+ (* -2 y) (* x (+ y y))) (*.f64 y (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64))))
	3.0%	#s(approx (+ (* -2 y) (* x (+ y y))) (*.f64 y #s(literal -2 binary64)))
▶	2.9%	#s(approx (* (+ y y) (+ x y)) (fma.f64 (+.f64 y y) #s(literal 2 binary64) (+.f64 y y)))
	3.4%	#s(approx (* (+ y y) (+ x y)) (/.f64 #s(literal 1/2 binary64) y))
	3.8%	#s(approx (* (+ y y) (+ x y)) (/.f64 #s(literal -1 binary64) (+.f64 y y)))
▶	2.9%	#s(approx (* (+ y y) (+ x y)) (+.f64 y y))
	3.4%	#s(approx (* (+ y y) (+ x y)) (*.f64 (+.f64 y y) y))
▶	2.9%	#s(approx (* (+ y y) (+ x y)) (*.f64 (+.f64 y y) #s(literal 2 binary64)))
	3.0%	#s(approx (* (+ y y) (+ x y)) (*.f64 (+.f64 y y) #s(literal -2 binary64)))
	2.4%	#s(approx (* (+ y y) (+ x y)) (.f64 (.f64 y (*.f64 y y)) #s(literal 8 binary64)))
▶	3.4%	#s(approx (* (+ y y) (+ x y)) (.f64 (.f64 y y) #s(literal 4 binary64)))
	2.4%	#s(approx (* (+ y y) (+ x y)) (.f64 y (.f64 (+.f64 y y) y)))
	1.7%	#s(approx (* (+ y y) (+ x y)) (.f64 y (.f64 y #s(literal -2 binary64))))

Compiler

Compiled 286 to 168 computations (41.3% saved)

simplify14.0ms (0.3%)

Memory

-12.7MiB live, 25.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 y y)
✓	cost-diff	0	#s(approx (* (+ y y) (+ x y)) (fma.f64 (+.f64 y y) #s(literal 2 binary64) (+.f64 y y)))
✓	cost-diff	448	(fma.f64 (+.f64 y y) #s(literal 2 binary64) (+.f64 y y))
✓	cost-diff	0	(*.f64 y y)
✓	cost-diff	0	(.f64 (.f64 y y) #s(literal 4 binary64))
✓	cost-diff	0	#s(approx (* (+ y y) (+ x y)) (.f64 (.f64 y y) #s(literal 4 binary64)))
✓	cost-diff	0	(+.f64 y y)
✓	cost-diff	0	#s(approx (* (+ y y) (+ x y)) (*.f64 (+.f64 y y) #s(literal 2 binary64)))
✓	cost-diff	192	(*.f64 (+.f64 y y) #s(literal 2 binary64))
✓	cost-diff	0	(+.f64 y y)
✓	cost-diff	0	#s(approx (* (+ y y) (+ x y)) (+.f64 y y))
✓	cost-diff	0	(/.f64 #s(literal 1/2 binary64) y)
✓	cost-diff	0	(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
✓	cost-diff	0	#s(approx (/ (+ x y) (+ y y)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))

Rules

182×	`lower-fma.f32`
180×	`lower-fma.f64`
124×	`lower-*.f32`
116×	`lower-*.f64`
114×	`lower-+.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	21	114
0	29	114
1	48	104
2	93	100
3	161	100
4	213	100
5	248	100
0	248	100

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

Outputs
#s(approx (/ (+ x y) (+ y y)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
#s(approx (/ (+ x y) (+ y y)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(/.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
x
#s(approx (* (+ y y) (+ x y)) (+.f64 y y))
(+.f64 y y)
y
#s(approx (* (+ y y) (+ x y)) (*.f64 (+.f64 y y) #s(literal 2 binary64)))
#s(approx (* (+ y y) (+ x y)) (*.f64 y #s(literal 4 binary64)))
(*.f64 (+.f64 y y) #s(literal 2 binary64))
(*.f64 y #s(literal 4 binary64))
(+.f64 y y)
y
#s(literal 2 binary64)
#s(approx (* (+ y y) (+ x y)) (.f64 (.f64 y y) #s(literal 4 binary64)))
#s(approx (* (+ y y) (+ x y)) (.f64 y (.f64 y #s(literal 4 binary64))))
(.f64 (.f64 y y) #s(literal 4 binary64))
(.f64 y (.f64 y #s(literal 4 binary64)))
(*.f64 y y)
y
#s(literal 4 binary64)
#s(approx (* (+ y y) (+ x y)) (fma.f64 (+.f64 y y) #s(literal 2 binary64) (+.f64 y y)))
#s(approx (* (+ y y) (+ x y)) (*.f64 y #s(literal 6 binary64)))
(fma.f64 (+.f64 y y) #s(literal 2 binary64) (+.f64 y y))
(*.f64 y #s(literal 6 binary64))
(+.f64 y y)
y
#s(literal 2 binary64)

localize97.0ms (2.1%)

Memory

22.2MiB live, 103.3MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 (+.f64 y y) #s(literal 2 binary64) (+.f64 y y))
✓	accuracy	100.0%	(+.f64 y y)
✓	accuracy	4.3%	#s(approx (* (+ y y) (+ x y)) (fma.f64 (+.f64 y y) #s(literal 2 binary64) (+.f64 y y)))
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	100.0%	(.f64 (.f64 y y) #s(literal 4 binary64))
✓	accuracy	40.5%	#s(approx (* (+ y y) (+ x y)) (.f64 (.f64 y y) #s(literal 4 binary64)))
✓	accuracy	100.0%	(+.f64 y y)
✓	accuracy	100.0%	(*.f64 (+.f64 y y) #s(literal 2 binary64))
✓	accuracy	4.3%	#s(approx (* (+ y y) (+ x y)) (*.f64 (+.f64 y y) #s(literal 2 binary64)))
✓	accuracy	100.0%	(+.f64 y y)
✓	accuracy	4.3%	#s(approx (* (+ y y) (+ x y)) (+.f64 y y))
✓	accuracy	100.0%	(/.f64 #s(literal 1/2 binary64) y)
✓	accuracy	99.7%	(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
✓	accuracy	47.8%	#s(approx (/ (+ x y) (+ y y)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))

Samples

55.0ms

256×

valid

Compiler

Compiled 86 to 17 computations (80.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 44.0ms

ival-mult: 35.0ms (79.3% of total)

ival-div: 4.0ms (9.1% of total)

ival-add: 4.0ms (9.1% of total)

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

exact: 0.0ms (0% of total)

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

series18.0ms (0.4%)

Memory

-30.4MiB live, 9.0MiB allocated

Counts

12 → 216

Calls

Call 1

Inputs
#<alt #s(approx (/ (+ x y) (+ y y)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))>
#<alt (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)>
#<alt (/.f64 #s(literal 1/2 binary64) y)>
#<alt #s(approx (* (+ y y) (+ x y)) (+.f64 y y))>
#<alt (+.f64 y y)>
#<alt (*.f64 (+.f64 y y) #s(literal 2 binary64))>
#<alt #s(approx (* (+ y y) (+ x y)) (*.f64 (+.f64 y y) #s(literal 2 binary64)))>
#<alt #s(approx (* (+ y y) (+ x y)) (.f64 (.f64 y y) #s(literal 4 binary64)))>
#<alt (.f64 (.f64 y y) #s(literal 4 binary64))>
#<alt (*.f64 y y)>
#<alt (fma.f64 (+.f64 y y) #s(literal 2 binary64) (+.f64 y y))>
#<alt #s(approx (* (+ y y) (+ x y)) (fma.f64 (+.f64 y y) #s(literal 2 binary64) (+.f64 y y)))>

Outputs
#<alt 1/2>
#<alt (+ 1/2 (* 1/2 (/ x y)))>
#<alt (+ 1/2 (* 1/2 (/ x y)))>
#<alt (+ 1/2 (* 1/2 (/ x y)))>
#<alt (* 1/2 (/ x y))>
#<alt (* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))>
#<alt (* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))>
#<alt (* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))>
#<alt (* 1/2 (/ x y))>
#<alt (* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))>
#<alt (* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))>
#<alt (* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))>
#<alt (* 1/2 (/ x y))>
#<alt (/ (+ (* 1/2 x) (* 1/2 y)) y)>
#<alt (/ (+ (* 1/2 x) (* 1/2 y)) y)>
#<alt (/ (+ (* 1/2 x) (* 1/2 y)) y)>
#<alt 1/2>
#<alt (+ 1/2 (* 1/2 (/ x y)))>
#<alt (+ 1/2 (* 1/2 (/ x y)))>
#<alt (+ 1/2 (* 1/2 (/ x y)))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/2 (/ x y)))>
#<alt (+ 1/2 (* 1/2 (/ x y)))>
#<alt (+ 1/2 (* 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 (* 1/2 (/ x y))>
#<alt (/ 1/2 y)>
#<alt (/ 1/2 y)>
#<alt (/ 1/2 y)>
#<alt (/ 1/2 y)>
#<alt (/ 1/2 y)>
#<alt (/ 1/2 y)>
#<alt (/ 1/2 y)>
#<alt (/ 1/2 y)>
#<alt (/ 1/2 y)>
#<alt (/ 1/2 y)>
#<alt (/ 1/2 y)>
#<alt (/ 1/2 y)>
#<alt (* 2 (* x y))>
#<alt (* y (+ (* 2 x) (* 2 y)))>
#<alt (* y (+ (* 2 x) (* 2 y)))>
#<alt (* y (+ (* 2 x) (* 2 y)))>
#<alt (* 2 (pow y 2))>
#<alt (* (pow y 2) (+ 2 (* 2 (/ x y))))>
#<alt (* (pow y 2) (+ 2 (* 2 (/ x y))))>
#<alt (* (pow y 2) (+ 2 (* 2 (/ x y))))>
#<alt (* 2 (pow y 2))>
#<alt (* (pow y 2) (+ 2 (* 2 (/ x y))))>
#<alt (* (pow y 2) (+ 2 (* 2 (/ x y))))>
#<alt (* (pow y 2) (+ 2 (* 2 (/ x y))))>
#<alt (* 2 (pow y 2))>
#<alt (+ (* 2 (* x y)) (* 2 (pow y 2)))>
#<alt (+ (* 2 (* x y)) (* 2 (pow y 2)))>
#<alt (+ (* 2 (* x y)) (* 2 (pow y 2)))>
#<alt (* 2 (* x y))>
#<alt (* x (+ (* 2 y) (* 2 (/ (pow y 2) x))))>
#<alt (* x (+ (* 2 y) (* 2 (/ (pow y 2) x))))>
#<alt (* x (+ (* 2 y) (* 2 (/ (pow y 2) x))))>
#<alt (* 2 (* x y))>
#<alt (* -1 (* x (+ (* -2 y) (* -2 (/ (pow y 2) x)))))>
#<alt (* -1 (* x (+ (* -2 y) (* -2 (/ (pow y 2) x)))))>
#<alt (* -1 (* x (+ (* -2 y) (* -2 (/ (pow y 2) x)))))>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 4 y)>
#<alt (* 4 y)>
#<alt (* 4 y)>
#<alt (* 4 y)>
#<alt (* 4 y)>
#<alt (* 4 y)>
#<alt (* 4 y)>
#<alt (* 4 y)>
#<alt (* 4 y)>
#<alt (* 4 y)>
#<alt (* 4 y)>
#<alt (* 4 y)>
#<alt (* 2 (* x y))>
#<alt (* y (+ (* 2 x) (* 2 y)))>
#<alt (* y (+ (* 2 x) (* 2 y)))>
#<alt (* y (+ (* 2 x) (* 2 y)))>
#<alt (* 2 (pow y 2))>
#<alt (* (pow y 2) (+ 2 (* 2 (/ x y))))>
#<alt (* (pow y 2) (+ 2 (* 2 (/ x y))))>
#<alt (* (pow y 2) (+ 2 (* 2 (/ x y))))>
#<alt (* 2 (pow y 2))>
#<alt (* (pow y 2) (+ 2 (* 2 (/ x y))))>
#<alt (* (pow y 2) (+ 2 (* 2 (/ x y))))>
#<alt (* (pow y 2) (+ 2 (* 2 (/ x y))))>
#<alt (* 2 (pow y 2))>
#<alt (+ (* 2 (* x y)) (* 2 (pow y 2)))>
#<alt (+ (* 2 (* x y)) (* 2 (pow y 2)))>
#<alt (+ (* 2 (* x y)) (* 2 (pow y 2)))>
#<alt (* 2 (* x y))>
#<alt (* x (+ (* 2 y) (* 2 (/ (pow y 2) x))))>
#<alt (* x (+ (* 2 y) (* 2 (/ (pow y 2) x))))>
#<alt (* x (+ (* 2 y) (* 2 (/ (pow y 2) x))))>
#<alt (* 2 (* x y))>
#<alt (* -1 (* x (+ (* -2 y) (* -2 (/ (pow y 2) x)))))>
#<alt (* -1 (* x (+ (* -2 y) (* -2 (/ (pow y 2) x)))))>
#<alt (* -1 (* x (+ (* -2 y) (* -2 (/ (pow y 2) x)))))>
#<alt (* 2 (* x y))>
#<alt (* y (+ (* 2 x) (* 2 y)))>
#<alt (* y (+ (* 2 x) (* 2 y)))>
#<alt (* y (+ (* 2 x) (* 2 y)))>
#<alt (* 2 (pow y 2))>
#<alt (* (pow y 2) (+ 2 (* 2 (/ x y))))>
#<alt (* (pow y 2) (+ 2 (* 2 (/ x y))))>
#<alt (* (pow y 2) (+ 2 (* 2 (/ x y))))>
#<alt (* 2 (pow y 2))>
#<alt (* (pow y 2) (+ 2 (* 2 (/ x y))))>
#<alt (* (pow y 2) (+ 2 (* 2 (/ x y))))>
#<alt (* (pow y 2) (+ 2 (* 2 (/ x y))))>
#<alt (* 2 (pow y 2))>
#<alt (+ (* 2 (* x y)) (* 2 (pow y 2)))>
#<alt (+ (* 2 (* x y)) (* 2 (pow y 2)))>
#<alt (+ (* 2 (* x y)) (* 2 (pow y 2)))>
#<alt (* 2 (* x y))>
#<alt (* x (+ (* 2 y) (* 2 (/ (pow y 2) x))))>
#<alt (* x (+ (* 2 y) (* 2 (/ (pow y 2) x))))>
#<alt (* x (+ (* 2 y) (* 2 (/ (pow y 2) x))))>
#<alt (* 2 (* x y))>
#<alt (* -1 (* x (+ (* -2 y) (* -2 (/ (pow y 2) x)))))>
#<alt (* -1 (* x (+ (* -2 y) (* -2 (/ (pow y 2) x)))))>
#<alt (* -1 (* x (+ (* -2 y) (* -2 (/ (pow y 2) x)))))>
#<alt (* 4 (pow y 2))>
#<alt (* 4 (pow y 2))>
#<alt (* 4 (pow y 2))>
#<alt (* 4 (pow y 2))>
#<alt (* 4 (pow y 2))>
#<alt (* 4 (pow y 2))>
#<alt (* 4 (pow y 2))>
#<alt (* 4 (pow y 2))>
#<alt (* 4 (pow y 2))>
#<alt (* 4 (pow y 2))>
#<alt (* 4 (pow y 2))>
#<alt (* 4 (pow y 2))>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (* 6 y)>
#<alt (* 6 y)>
#<alt (* 6 y)>
#<alt (* 6 y)>
#<alt (* 6 y)>
#<alt (* 6 y)>
#<alt (* 6 y)>
#<alt (* 6 y)>
#<alt (* 6 y)>
#<alt (* 6 y)>
#<alt (* 6 y)>
#<alt (* 6 y)>
#<alt (* 2 (* x y))>
#<alt (* y (+ (* 2 x) (* 2 y)))>
#<alt (* y (+ (* 2 x) (* 2 y)))>
#<alt (* y (+ (* 2 x) (* 2 y)))>
#<alt (* 2 (pow y 2))>
#<alt (* (pow y 2) (+ 2 (* 2 (/ x y))))>
#<alt (* (pow y 2) (+ 2 (* 2 (/ x y))))>
#<alt (* (pow y 2) (+ 2 (* 2 (/ x y))))>
#<alt (* 2 (pow y 2))>
#<alt (* (pow y 2) (+ 2 (* 2 (/ x y))))>
#<alt (* (pow y 2) (+ 2 (* 2 (/ x y))))>
#<alt (* (pow y 2) (+ 2 (* 2 (/ x y))))>
#<alt (* 2 (pow y 2))>
#<alt (+ (* 2 (* x y)) (* 2 (pow y 2)))>
#<alt (+ (* 2 (* x y)) (* 2 (pow y 2)))>
#<alt (+ (* 2 (* x y)) (* 2 (pow y 2)))>
#<alt (* 2 (* x y))>
#<alt (* x (+ (* 2 y) (* 2 (/ (pow y 2) x))))>
#<alt (* x (+ (* 2 y) (* 2 (/ (pow y 2) x))))>
#<alt (* x (+ (* 2 y) (* 2 (/ (pow y 2) x))))>
#<alt (* 2 (* x y))>
#<alt (* -1 (* x (+ (* -2 y) (* -2 (/ (pow y 2) x)))))>
#<alt (* -1 (* x (+ (* -2 y) (* -2 (/ (pow y 2) x)))))>
#<alt (* -1 (* x (+ (* -2 y) (* -2 (/ (pow y 2) x)))))>

Calls

54 calls:

Time	Variable		Point	Expression
13.0ms	y	@	0	(* (+ y y) 2)
0.0ms	y	@	-inf	(* (+ y y) 2)
0.0ms	y	@	inf	(* (+ y y) 2)
0.0ms	y	@	-inf	(/ 1/2 y)
0.0ms	y	@	0	(* (* y y) 4)

simplify329.0ms (7.2%)

Memory

14.0MiB live, 371.8MiB allocated

Algorithm

1×	egg-herbie

Rules

6 008×	`lower-fma.f64`
6 008×	`lower-fma.f32`
3 048×	`lower-*.f64`
3 048×	`lower-*.f32`
1 802×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	1128
1	131	1128
2	294	1128
3	600	1128
4	1193	1128
5	2822	1128
6	5098	1128
7	7613	1128
0	8060	1110

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 216

Calls

Call 1

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

Outputs
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/2 (/ x y)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (/ x y)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (/ x y)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))
(* 1/2 (/ x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))
(* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))
(* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))
(* 1/2 (/ x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))
(* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))
(* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))
(* 1/2 (/ x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(/ (+ (* 1/2 x) (* 1/2 y)) y)
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))
(/ (+ (* 1/2 x) (* 1/2 y)) y)
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))
(/ (+ (* 1/2 x) (* 1/2 y)) y)
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/2 (/ x y)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (/ x y)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (/ x y)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/2 (/ x y)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (/ x y)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (/ x y)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))
(* 1/2 (/ x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(* 2 (* x y))
(.f64 x (.f64 y #s(literal 2 binary64)))
(* y (+ (* 2 x) (* 2 y)))
(.f64 y (.f64 #s(literal 2 binary64) (+.f64 x y)))
(* y (+ (* 2 x) (* 2 y)))
(.f64 y (.f64 #s(literal 2 binary64) (+.f64 x y)))
(* y (+ (* 2 x) (* 2 y)))
(.f64 y (.f64 #s(literal 2 binary64) (+.f64 x y)))
(* 2 (pow y 2))
(.f64 #s(literal 2 binary64) (.f64 y y))
(* (pow y 2) (+ 2 (* 2 (/ x y))))
(.f64 y (.f64 #s(literal 2 binary64) (+.f64 x y)))
(* (pow y 2) (+ 2 (* 2 (/ x y))))
(.f64 y (.f64 #s(literal 2 binary64) (+.f64 x y)))
(* (pow y 2) (+ 2 (* 2 (/ x y))))
(.f64 y (.f64 #s(literal 2 binary64) (+.f64 x y)))
(* 2 (pow y 2))
(.f64 #s(literal 2 binary64) (.f64 y y))
(* (pow y 2) (+ 2 (* 2 (/ x y))))
(.f64 y (.f64 #s(literal 2 binary64) (+.f64 x y)))
(* (pow y 2) (+ 2 (* 2 (/ x y))))
(.f64 y (.f64 #s(literal 2 binary64) (+.f64 x y)))
(* (pow y 2) (+ 2 (* 2 (/ x y))))
(.f64 y (.f64 #s(literal 2 binary64) (+.f64 x y)))
(* 2 (pow y 2))
(.f64 #s(literal 2 binary64) (.f64 y y))
(+ (* 2 (* x y)) (* 2 (pow y 2)))
(.f64 y (.f64 #s(literal 2 binary64) (+.f64 x y)))
(+ (* 2 (* x y)) (* 2 (pow y 2)))
(.f64 y (.f64 #s(literal 2 binary64) (+.f64 x y)))
(+ (* 2 (* x y)) (* 2 (pow y 2)))
(.f64 y (.f64 #s(literal 2 binary64) (+.f64 x y)))
(* 2 (* x y))
(.f64 x (.f64 y #s(literal 2 binary64)))
(* x (+ (* 2 y) (* 2 (/ (pow y 2) x))))
(.f64 y (.f64 #s(literal 2 binary64) (+.f64 x y)))
(* x (+ (* 2 y) (* 2 (/ (pow y 2) x))))
(.f64 y (.f64 #s(literal 2 binary64) (+.f64 x y)))
(* x (+ (* 2 y) (* 2 (/ (pow y 2) x))))
(.f64 y (.f64 #s(literal 2 binary64) (+.f64 x y)))
(* 2 (* x y))
(.f64 x (.f64 y #s(literal 2 binary64)))
(* -1 (* x (+ (* -2 y) (* -2 (/ (pow y 2) x)))))
(.f64 y (.f64 #s(literal 2 binary64) (+.f64 x y)))
(* -1 (* x (+ (* -2 y) (* -2 (/ (pow y 2) x)))))
(.f64 y (.f64 #s(literal 2 binary64) (+.f64 x y)))
(* -1 (* x (+ (* -2 y) (* -2 (/ (pow y 2) x)))))
(.f64 y (.f64 #s(literal 2 binary64) (+.f64 x y)))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 4 y)
(*.f64 y #s(literal 4 binary64))
(* 4 y)
(*.f64 y #s(literal 4 binary64))
(* 4 y)
(*.f64 y #s(literal 4 binary64))
(* 4 y)
(*.f64 y #s(literal 4 binary64))
(* 4 y)
(*.f64 y #s(literal 4 binary64))
(* 4 y)
(*.f64 y #s(literal 4 binary64))
(* 4 y)
(*.f64 y #s(literal 4 binary64))
(* 4 y)
(*.f64 y #s(literal 4 binary64))
(* 4 y)
(*.f64 y #s(literal 4 binary64))
(* 4 y)
(*.f64 y #s(literal 4 binary64))
(* 4 y)
(*.f64 y #s(literal 4 binary64))
(* 4 y)
(*.f64 y #s(literal 4 binary64))
(* 2 (* x y))
(.f64 x (.f64 y #s(literal 2 binary64)))
(* y (+ (* 2 x) (* 2 y)))
(.f64 y (.f64 #s(literal 2 binary64) (+.f64 x y)))
(* y (+ (* 2 x) (* 2 y)))
(.f64 y (.f64 #s(literal 2 binary64) (+.f64 x y)))
(* y (+ (* 2 x) (* 2 y)))
(.f64 y (.f64 #s(literal 2 binary64) (+.f64 x y)))
(* 2 (pow y 2))
(.f64 #s(literal 2 binary64) (.f64 y y))
(* (pow y 2) (+ 2 (* 2 (/ x y))))
(.f64 y (.f64 #s(literal 2 binary64) (+.f64 x y)))
(* (pow y 2) (+ 2 (* 2 (/ x y))))
(.f64 y (.f64 #s(literal 2 binary64) (+.f64 x y)))
(* (pow y 2) (+ 2 (* 2 (/ x y))))
(.f64 y (.f64 #s(literal 2 binary64) (+.f64 x y)))
(* 2 (pow y 2))
(.f64 #s(literal 2 binary64) (.f64 y y))
(* (pow y 2) (+ 2 (* 2 (/ x y))))
(.f64 y (.f64 #s(literal 2 binary64) (+.f64 x y)))
(* (pow y 2) (+ 2 (* 2 (/ x y))))
(.f64 y (.f64 #s(literal 2 binary64) (+.f64 x y)))
(* (pow y 2) (+ 2 (* 2 (/ x y))))
(.f64 y (.f64 #s(literal 2 binary64) (+.f64 x y)))
(* 2 (pow y 2))
(.f64 #s(literal 2 binary64) (.f64 y y))
(+ (* 2 (* x y)) (* 2 (pow y 2)))
(.f64 y (.f64 #s(literal 2 binary64) (+.f64 x y)))
(+ (* 2 (* x y)) (* 2 (pow y 2)))
(.f64 y (.f64 #s(literal 2 binary64) (+.f64 x y)))
(+ (* 2 (* x y)) (* 2 (pow y 2)))
(.f64 y (.f64 #s(literal 2 binary64) (+.f64 x y)))
(* 2 (* x y))
(.f64 x (.f64 y #s(literal 2 binary64)))
(* x (+ (* 2 y) (* 2 (/ (pow y 2) x))))
(.f64 y (.f64 #s(literal 2 binary64) (+.f64 x y)))
(* x (+ (* 2 y) (* 2 (/ (pow y 2) x))))
(.f64 y (.f64 #s(literal 2 binary64) (+.f64 x y)))
(* x (+ (* 2 y) (* 2 (/ (pow y 2) x))))
(.f64 y (.f64 #s(literal 2 binary64) (+.f64 x y)))
(* 2 (* x y))
(.f64 x (.f64 y #s(literal 2 binary64)))
(* -1 (* x (+ (* -2 y) (* -2 (/ (pow y 2) x)))))
(.f64 y (.f64 #s(literal 2 binary64) (+.f64 x y)))
(* -1 (* x (+ (* -2 y) (* -2 (/ (pow y 2) x)))))
(.f64 y (.f64 #s(literal 2 binary64) (+.f64 x y)))
(* -1 (* x (+ (* -2 y) (* -2 (/ (pow y 2) x)))))
(.f64 y (.f64 #s(literal 2 binary64) (+.f64 x y)))
(* 2 (* x y))
(.f64 x (.f64 y #s(literal 2 binary64)))
(* y (+ (* 2 x) (* 2 y)))
(.f64 y (.f64 #s(literal 2 binary64) (+.f64 x y)))
(* y (+ (* 2 x) (* 2 y)))
(.f64 y (.f64 #s(literal 2 binary64) (+.f64 x y)))
(* y (+ (* 2 x) (* 2 y)))
(.f64 y (.f64 #s(literal 2 binary64) (+.f64 x y)))
(* 2 (pow y 2))
(.f64 #s(literal 2 binary64) (.f64 y y))
(* (pow y 2) (+ 2 (* 2 (/ x y))))
(.f64 y (.f64 #s(literal 2 binary64) (+.f64 x y)))
(* (pow y 2) (+ 2 (* 2 (/ x y))))
(.f64 y (.f64 #s(literal 2 binary64) (+.f64 x y)))
(* (pow y 2) (+ 2 (* 2 (/ x y))))
(.f64 y (.f64 #s(literal 2 binary64) (+.f64 x y)))
(* 2 (pow y 2))
(.f64 #s(literal 2 binary64) (.f64 y y))
(* (pow y 2) (+ 2 (* 2 (/ x y))))
(.f64 y (.f64 #s(literal 2 binary64) (+.f64 x y)))
(* (pow y 2) (+ 2 (* 2 (/ x y))))
(.f64 y (.f64 #s(literal 2 binary64) (+.f64 x y)))
(* (pow y 2) (+ 2 (* 2 (/ x y))))
(.f64 y (.f64 #s(literal 2 binary64) (+.f64 x y)))
(* 2 (pow y 2))
(.f64 #s(literal 2 binary64) (.f64 y y))
(+ (* 2 (* x y)) (* 2 (pow y 2)))
(.f64 y (.f64 #s(literal 2 binary64) (+.f64 x y)))
(+ (* 2 (* x y)) (* 2 (pow y 2)))
(.f64 y (.f64 #s(literal 2 binary64) (+.f64 x y)))
(+ (* 2 (* x y)) (* 2 (pow y 2)))
(.f64 y (.f64 #s(literal 2 binary64) (+.f64 x y)))
(* 2 (* x y))
(.f64 x (.f64 y #s(literal 2 binary64)))
(* x (+ (* 2 y) (* 2 (/ (pow y 2) x))))
(.f64 y (.f64 #s(literal 2 binary64) (+.f64 x y)))
(* x (+ (* 2 y) (* 2 (/ (pow y 2) x))))
(.f64 y (.f64 #s(literal 2 binary64) (+.f64 x y)))
(* x (+ (* 2 y) (* 2 (/ (pow y 2) x))))
(.f64 y (.f64 #s(literal 2 binary64) (+.f64 x y)))
(* 2 (* x y))
(.f64 x (.f64 y #s(literal 2 binary64)))
(* -1 (* x (+ (* -2 y) (* -2 (/ (pow y 2) x)))))
(.f64 y (.f64 #s(literal 2 binary64) (+.f64 x y)))
(* -1 (* x (+ (* -2 y) (* -2 (/ (pow y 2) x)))))
(.f64 y (.f64 #s(literal 2 binary64) (+.f64 x y)))
(* -1 (* x (+ (* -2 y) (* -2 (/ (pow y 2) x)))))
(.f64 y (.f64 #s(literal 2 binary64) (+.f64 x y)))
(* 4 (pow y 2))
(.f64 y (.f64 y #s(literal 4 binary64)))
(* 4 (pow y 2))
(.f64 y (.f64 y #s(literal 4 binary64)))
(* 4 (pow y 2))
(.f64 y (.f64 y #s(literal 4 binary64)))
(* 4 (pow y 2))
(.f64 y (.f64 y #s(literal 4 binary64)))
(* 4 (pow y 2))
(.f64 y (.f64 y #s(literal 4 binary64)))
(* 4 (pow y 2))
(.f64 y (.f64 y #s(literal 4 binary64)))
(* 4 (pow y 2))
(.f64 y (.f64 y #s(literal 4 binary64)))
(* 4 (pow y 2))
(.f64 y (.f64 y #s(literal 4 binary64)))
(* 4 (pow y 2))
(.f64 y (.f64 y #s(literal 4 binary64)))
(* 4 (pow y 2))
(.f64 y (.f64 y #s(literal 4 binary64)))
(* 4 (pow y 2))
(.f64 y (.f64 y #s(literal 4 binary64)))
(* 4 (pow y 2))
(.f64 y (.f64 y #s(literal 4 binary64)))
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(* 6 y)
(*.f64 y #s(literal 6 binary64))
(* 6 y)
(*.f64 y #s(literal 6 binary64))
(* 6 y)
(*.f64 y #s(literal 6 binary64))
(* 6 y)
(*.f64 y #s(literal 6 binary64))
(* 6 y)
(*.f64 y #s(literal 6 binary64))
(* 6 y)
(*.f64 y #s(literal 6 binary64))
(* 6 y)
(*.f64 y #s(literal 6 binary64))
(* 6 y)
(*.f64 y #s(literal 6 binary64))
(* 6 y)
(*.f64 y #s(literal 6 binary64))
(* 6 y)
(*.f64 y #s(literal 6 binary64))
(* 6 y)
(*.f64 y #s(literal 6 binary64))
(* 6 y)
(*.f64 y #s(literal 6 binary64))
(* 2 (* x y))
(.f64 x (.f64 y #s(literal 2 binary64)))
(* y (+ (* 2 x) (* 2 y)))
(.f64 y (.f64 #s(literal 2 binary64) (+.f64 x y)))
(* y (+ (* 2 x) (* 2 y)))
(.f64 y (.f64 #s(literal 2 binary64) (+.f64 x y)))
(* y (+ (* 2 x) (* 2 y)))
(.f64 y (.f64 #s(literal 2 binary64) (+.f64 x y)))
(* 2 (pow y 2))
(.f64 #s(literal 2 binary64) (.f64 y y))
(* (pow y 2) (+ 2 (* 2 (/ x y))))
(.f64 y (.f64 #s(literal 2 binary64) (+.f64 x y)))
(* (pow y 2) (+ 2 (* 2 (/ x y))))
(.f64 y (.f64 #s(literal 2 binary64) (+.f64 x y)))
(* (pow y 2) (+ 2 (* 2 (/ x y))))
(.f64 y (.f64 #s(literal 2 binary64) (+.f64 x y)))
(* 2 (pow y 2))
(.f64 #s(literal 2 binary64) (.f64 y y))
(* (pow y 2) (+ 2 (* 2 (/ x y))))
(.f64 y (.f64 #s(literal 2 binary64) (+.f64 x y)))
(* (pow y 2) (+ 2 (* 2 (/ x y))))
(.f64 y (.f64 #s(literal 2 binary64) (+.f64 x y)))
(* (pow y 2) (+ 2 (* 2 (/ x y))))
(.f64 y (.f64 #s(literal 2 binary64) (+.f64 x y)))
(* 2 (pow y 2))
(.f64 #s(literal 2 binary64) (.f64 y y))
(+ (* 2 (* x y)) (* 2 (pow y 2)))
(.f64 y (.f64 #s(literal 2 binary64) (+.f64 x y)))
(+ (* 2 (* x y)) (* 2 (pow y 2)))
(.f64 y (.f64 #s(literal 2 binary64) (+.f64 x y)))
(+ (* 2 (* x y)) (* 2 (pow y 2)))
(.f64 y (.f64 #s(literal 2 binary64) (+.f64 x y)))
(* 2 (* x y))
(.f64 x (.f64 y #s(literal 2 binary64)))
(* x (+ (* 2 y) (* 2 (/ (pow y 2) x))))
(.f64 y (.f64 #s(literal 2 binary64) (+.f64 x y)))
(* x (+ (* 2 y) (* 2 (/ (pow y 2) x))))
(.f64 y (.f64 #s(literal 2 binary64) (+.f64 x y)))
(* x (+ (* 2 y) (* 2 (/ (pow y 2) x))))
(.f64 y (.f64 #s(literal 2 binary64) (+.f64 x y)))
(* 2 (* x y))
(.f64 x (.f64 y #s(literal 2 binary64)))
(* -1 (* x (+ (* -2 y) (* -2 (/ (pow y 2) x)))))
(.f64 y (.f64 #s(literal 2 binary64) (+.f64 x y)))
(* -1 (* x (+ (* -2 y) (* -2 (/ (pow y 2) x)))))
(.f64 y (.f64 #s(literal 2 binary64) (+.f64 x y)))
(* -1 (* x (+ (* -2 y) (* -2 (/ (pow y 2) x)))))
(.f64 y (.f64 #s(literal 2 binary64) (+.f64 x y)))

rewrite153.0ms (3.3%)

Memory

14.8MiB live, 177.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

428×	`lower-fma.f32`
426×	`lower-fma.f64`
308×	`lower-*.f32`
300×	`lower-*.f64`
264×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	98
0	29	80
1	95	80
0	814	80

Stop Event

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

Counts

12 → 591

Calls

Call 1

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

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

eval221.0ms (4.8%)

Memory: -2.6MiB live, 382.0MiB allocated
Compiler: Compiled 12 010 to 671 computations (94.4% saved)

prune101.0ms (2.2%)

Memory

-14.0MiB live, 317.5MiB allocated

Pruning

20 alts after pruning (13 fresh and 7 done)

	Pruned	Kept	Total
New	1 172	7	1 179
Fresh	4	6	10
Picked	2	3	5
Done	1	4	5
Total	1 179	20	1 199

Accuracy

100.0%

Counts

1 199 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	29.1%	#s(approx (/ (+ x y) (+ y y)) (fma.f64 (+.f64 y y) x #s(literal 1/2 binary64)))
✓	99.7%	#s(approx (/ (+ x y) (+ y y)) (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)))
	47.8%	#s(approx (/ (+ x y) (+ y y)) (/.f64 x (+.f64 y y)))
✓	47.7%	#s(approx (/ (+ x y) (+ y y)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
✓	3.7%	#s(approx (/ (+ x y) (+ y y)) (*.f64 (+.f64 y y) x))
	3.7%	#s(approx (/ (+ x y) (+ y y)) (.f64 (.f64 (+.f64 y y) #s(literal 8 binary64)) x))
	3.7%	#s(approx (/ (+ x y) (+ y y)) (.f64 (.f64 y #s(literal 4 binary64)) x))
✓	53.8%	#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))
	3.0%	#s(approx (+ (* -2 y) (* x (+ y y))) (*.f64 y #s(literal -2 binary64)))
	2.9%	#s(approx (* (+ y y) (+ x y)) (fma.f64 (+.f64 y y) #s(literal 8 binary64) (+.f64 y y)))
	3.4%	#s(approx (* (+ y y) (+ x y)) (/.f64 #s(literal 1/2 binary64) y))
✓	2.9%	#s(approx (* (+ y y) (+ x y)) (+.f64 y y))
	3.4%	#s(approx (* (+ y y) (+ x y)) (*.f64 (+.f64 y y) y))
	2.9%	#s(approx (* (+ y y) (+ x y)) (*.f64 (+.f64 y y) #s(literal 8 binary64)))
	3.0%	#s(approx (* (+ y y) (+ x y)) (*.f64 (+.f64 y y) #s(literal -2 binary64)))
	2.9%	#s(approx (* (+ y y) (+ x y)) (.f64 (.f64 (+.f64 y y) #s(literal 8 binary64)) #s(literal 2 binary64)))
✓	3.4%	#s(approx (* (+ y y) (+ x y)) (.f64 (.f64 y y) #s(literal 4 binary64)))
	2.4%	#s(approx (* (+ y y) (+ x y)) (.f64 y (.f64 (+.f64 y y) y)))
	1.7%	#s(approx (* (+ y y) (+ x y)) (.f64 y (.f64 y #s(literal -2 binary64))))
	2.9%	#s(approx (* (+ y y) (+ x y)) #s(approx (+ (* (+ y y) 2) (+ y y)) (*.f64 y #s(literal 6 binary64))))

Compiler

Compiled 368 to 142 computations (61.4% saved)

regimes30.0ms (0.6%)

Memory

18.2MiB live, 96.9MiB allocated

Counts

32 → 1

Calls

Call 1

Inputs
#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))
#s(approx (* (+ y y) (+ x y)) (+.f64 y y))
#s(approx (* (+ y y) (+ x y)) #s(approx (+ (* (+ y y) 2) (+ y y)) (*.f64 y #s(literal 6 binary64))))
#s(approx (+ (* -2 y) (* x (+ y y))) (*.f64 y #s(literal -2 binary64)))
#s(approx (* (+ y y) (+ x y)) (*.f64 (+.f64 y y) #s(literal -2 binary64)))
#s(approx (* (+ y y) (+ x y)) (*.f64 (+.f64 y y) #s(literal 2 binary64)))
#s(approx (* (+ y y) (+ x y)) (*.f64 (+.f64 y y) #s(literal 8 binary64)))
#s(approx (* (+ y y) (+ x y)) (*.f64 (+.f64 y y) y))
#s(approx (/ (+ x y) (+ y y)) (*.f64 (+.f64 y y) x))
#s(approx (/ (+ x y) (+ y y)) (fma.f64 (+.f64 y y) x #s(literal 1/2 binary64)))
#s(approx (* (+ y y) (+ x y)) (.f64 y (.f64 y #s(literal -2 binary64))))
#s(approx (* (+ y y) (+ x y)) (.f64 y (.f64 y #s(literal 2 binary64))))
#s(approx (* (+ y y) (+ x y)) (.f64 (.f64 y y) #s(literal 4 binary64)))
#s(approx (/ (+ x y) (+ y y)) (.f64 (.f64 y #s(literal 4 binary64)) x))
#s(approx (* (+ y y) (+ x y)) (/.f64 #s(literal 1/2 binary64) y))
#s(approx (+ (* -2 y) (* x (+ y y))) (*.f64 y (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64))))
(*.f64 (+.f64 y y) (+.f64 x y))
#s(approx (* (+ y y) (+ x y)) (fma.f64 (+.f64 y y) #s(literal 2 binary64) (+.f64 y y)))
#s(approx (* (+ y y) (+ x y)) (fma.f64 (+.f64 y y) #s(literal 8 binary64) (+.f64 y y)))
(fma.f64 (+.f64 y y) x (+.f64 y y))
#s(approx (* (+ y y) (+ x y)) (.f64 y (.f64 (+.f64 y y) y)))
#s(approx (* (+ y y) (+ x y)) (.f64 (.f64 (+.f64 y y) #s(literal 8 binary64)) #s(literal 2 binary64)))
#s(approx (/ (+ x y) (+ y y)) (.f64 (.f64 (+.f64 y y) #s(literal 2 binary64)) x))
#s(approx (/ (+ x y) (+ y y)) (.f64 (.f64 (+.f64 y y) #s(literal 8 binary64)) x))
#s(approx (* (+ y y) (+ x y)) (/.f64 #s(literal -1 binary64) (+.f64 y y)))
#s(approx (/ (+ x y) (+ y y)) (/.f64 x (+.f64 y y)))
(fma.f64 #s(literal -2 binary64) y (*.f64 x (+.f64 y y)))
#s(approx (* (+ y y) (+ x y)) (.f64 (.f64 y (*.f64 y y)) #s(literal 8 binary64)))
#s(approx (/ (+ x y) (+ y y)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
#s(approx (/ (+ x y) (+ y y)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))
#s(approx (/ (+ x y) (+ y y)) (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)))
(/.f64 (+.f64 x y) (+.f64 y y))

Outputs
(/.f64 (+.f64 x y) (+.f64 y y))

Calls

3 calls:

9.0ms	x
9.0ms	(/.f64 (+.f64 x y) (+.f64 y y))
9.0ms	y

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(/.f64 (+.f64 x y) (+.f64 y y))`

Compiler

Compiled 15 to 9 computations (40% saved)

regimes30.0ms (0.7%)

Memory

-25.3MiB live, 95.0MiB allocated

Counts

31 → 1

Calls

Call 1

Inputs
#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))
#s(approx (* (+ y y) (+ x y)) (+.f64 y y))
#s(approx (* (+ y y) (+ x y)) #s(approx (+ (* (+ y y) 2) (+ y y)) (*.f64 y #s(literal 6 binary64))))
#s(approx (+ (* -2 y) (* x (+ y y))) (*.f64 y #s(literal -2 binary64)))
#s(approx (* (+ y y) (+ x y)) (*.f64 (+.f64 y y) #s(literal -2 binary64)))
#s(approx (* (+ y y) (+ x y)) (*.f64 (+.f64 y y) #s(literal 2 binary64)))
#s(approx (* (+ y y) (+ x y)) (*.f64 (+.f64 y y) #s(literal 8 binary64)))
#s(approx (* (+ y y) (+ x y)) (*.f64 (+.f64 y y) y))
#s(approx (/ (+ x y) (+ y y)) (*.f64 (+.f64 y y) x))
#s(approx (/ (+ x y) (+ y y)) (fma.f64 (+.f64 y y) x #s(literal 1/2 binary64)))
#s(approx (* (+ y y) (+ x y)) (.f64 y (.f64 y #s(literal -2 binary64))))
#s(approx (* (+ y y) (+ x y)) (.f64 y (.f64 y #s(literal 2 binary64))))
#s(approx (* (+ y y) (+ x y)) (.f64 (.f64 y y) #s(literal 4 binary64)))
#s(approx (/ (+ x y) (+ y y)) (.f64 (.f64 y #s(literal 4 binary64)) x))
#s(approx (* (+ y y) (+ x y)) (/.f64 #s(literal 1/2 binary64) y))
#s(approx (+ (* -2 y) (* x (+ y y))) (*.f64 y (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64))))
(*.f64 (+.f64 y y) (+.f64 x y))
#s(approx (* (+ y y) (+ x y)) (fma.f64 (+.f64 y y) #s(literal 2 binary64) (+.f64 y y)))
#s(approx (* (+ y y) (+ x y)) (fma.f64 (+.f64 y y) #s(literal 8 binary64) (+.f64 y y)))
(fma.f64 (+.f64 y y) x (+.f64 y y))
#s(approx (* (+ y y) (+ x y)) (.f64 y (.f64 (+.f64 y y) y)))
#s(approx (* (+ y y) (+ x y)) (.f64 (.f64 (+.f64 y y) #s(literal 8 binary64)) #s(literal 2 binary64)))
#s(approx (/ (+ x y) (+ y y)) (.f64 (.f64 (+.f64 y y) #s(literal 2 binary64)) x))
#s(approx (/ (+ x y) (+ y y)) (.f64 (.f64 (+.f64 y y) #s(literal 8 binary64)) x))
#s(approx (* (+ y y) (+ x y)) (/.f64 #s(literal -1 binary64) (+.f64 y y)))
#s(approx (/ (+ x y) (+ y y)) (/.f64 x (+.f64 y y)))
(fma.f64 #s(literal -2 binary64) y (*.f64 x (+.f64 y y)))
#s(approx (* (+ y y) (+ x y)) (.f64 (.f64 y (*.f64 y y)) #s(literal 8 binary64)))
#s(approx (/ (+ x y) (+ y y)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
#s(approx (/ (+ x y) (+ y y)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))
#s(approx (/ (+ x y) (+ y y)) (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)))

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

Calls

3 calls:

9.0ms	y
9.0ms	(/.f64 (+.f64 x y) (+.f64 y y))
9.0ms	x

Results

Accuracy	Segments	Branch
99.7%	1	`x`
99.7%	1	`y`
99.7%	1	`(/.f64 (+.f64 x y) (+.f64 y y))`

Compiler

Compiled 15 to 9 computations (40% saved)

regimes28.0ms (0.6%)

Memory

1.8MiB live, 82.3MiB allocated

Counts

30 → 3

Calls

Call 1

Inputs
#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))
#s(approx (* (+ y y) (+ x y)) (+.f64 y y))
#s(approx (* (+ y y) (+ x y)) #s(approx (+ (* (+ y y) 2) (+ y y)) (*.f64 y #s(literal 6 binary64))))
#s(approx (+ (* -2 y) (* x (+ y y))) (*.f64 y #s(literal -2 binary64)))
#s(approx (* (+ y y) (+ x y)) (*.f64 (+.f64 y y) #s(literal -2 binary64)))
#s(approx (* (+ y y) (+ x y)) (*.f64 (+.f64 y y) #s(literal 2 binary64)))
#s(approx (* (+ y y) (+ x y)) (*.f64 (+.f64 y y) #s(literal 8 binary64)))
#s(approx (* (+ y y) (+ x y)) (*.f64 (+.f64 y y) y))
#s(approx (/ (+ x y) (+ y y)) (*.f64 (+.f64 y y) x))
#s(approx (/ (+ x y) (+ y y)) (fma.f64 (+.f64 y y) x #s(literal 1/2 binary64)))
#s(approx (* (+ y y) (+ x y)) (.f64 y (.f64 y #s(literal -2 binary64))))
#s(approx (* (+ y y) (+ x y)) (.f64 y (.f64 y #s(literal 2 binary64))))
#s(approx (* (+ y y) (+ x y)) (.f64 (.f64 y y) #s(literal 4 binary64)))
#s(approx (/ (+ x y) (+ y y)) (.f64 (.f64 y #s(literal 4 binary64)) x))
#s(approx (* (+ y y) (+ x y)) (/.f64 #s(literal 1/2 binary64) y))
#s(approx (+ (* -2 y) (* x (+ y y))) (*.f64 y (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64))))
(*.f64 (+.f64 y y) (+.f64 x y))
#s(approx (* (+ y y) (+ x y)) (fma.f64 (+.f64 y y) #s(literal 2 binary64) (+.f64 y y)))
#s(approx (* (+ y y) (+ x y)) (fma.f64 (+.f64 y y) #s(literal 8 binary64) (+.f64 y y)))
(fma.f64 (+.f64 y y) x (+.f64 y y))
#s(approx (* (+ y y) (+ x y)) (.f64 y (.f64 (+.f64 y y) y)))
#s(approx (* (+ y y) (+ x y)) (.f64 (.f64 (+.f64 y y) #s(literal 8 binary64)) #s(literal 2 binary64)))
#s(approx (/ (+ x y) (+ y y)) (.f64 (.f64 (+.f64 y y) #s(literal 2 binary64)) x))
#s(approx (/ (+ x y) (+ y y)) (.f64 (.f64 (+.f64 y y) #s(literal 8 binary64)) x))
#s(approx (* (+ y y) (+ x y)) (/.f64 #s(literal -1 binary64) (+.f64 y y)))
#s(approx (/ (+ x y) (+ y y)) (/.f64 x (+.f64 y y)))
(fma.f64 #s(literal -2 binary64) y (*.f64 x (+.f64 y y)))
#s(approx (* (+ y y) (+ x y)) (.f64 (.f64 y (*.f64 y y)) #s(literal 8 binary64)))
#s(approx (/ (+ x y) (+ y y)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
#s(approx (/ (+ x y) (+ y y)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))

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

Calls

3 calls:

10.0ms	x
9.0ms	y
8.0ms	(/.f64 (+.f64 x y) (+.f64 y y))

Results

Accuracy	Segments	Branch
77.3%	3	`x`
75.5%	3	`y`
98.1%	3	`(/.f64 (+.f64 x y) (+.f64 y y))`

Compiler

Compiled 15 to 9 computations (40% saved)

regimes25.0ms (0.6%)

Memory

4.0MiB live, 81.2MiB allocated

Accuracy

Total -34.0b remaining (-115%)

Threshold costs -34b (-115%)

Counts

25 → 1

Calls

Call 1

Inputs
#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))
#s(approx (* (+ y y) (+ x y)) (+.f64 y y))
#s(approx (* (+ y y) (+ x y)) #s(approx (+ (* (+ y y) 2) (+ y y)) (*.f64 y #s(literal 6 binary64))))
#s(approx (+ (* -2 y) (* x (+ y y))) (*.f64 y #s(literal -2 binary64)))
#s(approx (* (+ y y) (+ x y)) (*.f64 (+.f64 y y) #s(literal -2 binary64)))
#s(approx (* (+ y y) (+ x y)) (*.f64 (+.f64 y y) #s(literal 2 binary64)))
#s(approx (* (+ y y) (+ x y)) (*.f64 (+.f64 y y) #s(literal 8 binary64)))
#s(approx (* (+ y y) (+ x y)) (*.f64 (+.f64 y y) y))
#s(approx (/ (+ x y) (+ y y)) (*.f64 (+.f64 y y) x))
#s(approx (/ (+ x y) (+ y y)) (fma.f64 (+.f64 y y) x #s(literal 1/2 binary64)))
#s(approx (* (+ y y) (+ x y)) (.f64 y (.f64 y #s(literal -2 binary64))))
#s(approx (* (+ y y) (+ x y)) (.f64 y (.f64 y #s(literal 2 binary64))))
#s(approx (* (+ y y) (+ x y)) (.f64 (.f64 y y) #s(literal 4 binary64)))
#s(approx (/ (+ x y) (+ y y)) (.f64 (.f64 y #s(literal 4 binary64)) x))
#s(approx (* (+ y y) (+ x y)) (/.f64 #s(literal 1/2 binary64) y))
#s(approx (+ (* -2 y) (* x (+ y y))) (*.f64 y (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64))))
(*.f64 (+.f64 y y) (+.f64 x y))
#s(approx (* (+ y y) (+ x y)) (fma.f64 (+.f64 y y) #s(literal 2 binary64) (+.f64 y y)))
#s(approx (* (+ y y) (+ x y)) (fma.f64 (+.f64 y y) #s(literal 8 binary64) (+.f64 y y)))
(fma.f64 (+.f64 y y) x (+.f64 y y))
#s(approx (* (+ y y) (+ x y)) (.f64 y (.f64 (+.f64 y y) y)))
#s(approx (* (+ y y) (+ x y)) (.f64 (.f64 (+.f64 y y) #s(literal 8 binary64)) #s(literal 2 binary64)))
#s(approx (/ (+ x y) (+ y y)) (.f64 (.f64 (+.f64 y y) #s(literal 2 binary64)) x))
#s(approx (/ (+ x y) (+ y y)) (.f64 (.f64 (+.f64 y y) #s(literal 8 binary64)) x))
#s(approx (* (+ y y) (+ x y)) (/.f64 #s(literal -1 binary64) (+.f64 y y)))

Outputs
#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))

Calls

3 calls:

9.0ms	x
9.0ms	y
7.0ms	(/.f64 (+.f64 x y) (+.f64 y y))

Results

Accuracy	Segments	Branch
53.8%	1	`y`
53.8%	1	`x`
53.8%	1	`(/.f64 (+.f64 x y) (+.f64 y y))`

Compiler

Compiled 15 to 9 computations (40% saved)

bsearch0.0ms (0%)

Memory

1.4MiB live, 1.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.50813416436001	1174384850.2454343
0.0ms	-23242.718995611078	0.4999999938334554

Compiler

Compiled 12 to 10 computations (16.7% saved)

simplify6.0ms (0.1%)

Memory

17.9MiB live, 17.9MiB allocated

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	85
1	25	85

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (+.f64 x y) (+.f64 y y))
#s(approx (/ (+ x y) (+ y y)) (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y y)) #s(literal -20000 binary64)) #s(approx (/ (+ x y) (+ y y)) (/.f64 x (+.f64 y y))) (if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y y)) #s(literal 1 binary64)) #s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64)) #s(approx (/ (+ x y) (+ y y)) (/.f64 x (+.f64 y y)))))
#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))

Outputs
(/.f64 (+.f64 x y) (+.f64 y y))
#s(approx (/ (+ x y) (+ y y)) (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y y)) #s(literal -20000 binary64)) #s(approx (/ (+ x y) (+ y y)) (/.f64 x (+.f64 y y))) (if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y y)) #s(literal 1 binary64)) #s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64)) #s(approx (/ (+ x y) (+ y y)) (/.f64 x (+.f64 y y)))))
#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))

soundness561.0ms (12.2%)

Memory

-10.1MiB live, 433.9MiB allocated

Rules

4 752×	`lower-fma.f64`
4 752×	`lower-fma.f32`
2 672×	`lower-*.f64`
2 672×	`lower-*.f32`
1 714×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	83
0	30	79
1	121	77
0	1101	77
0	21	98
0	29	80
1	95	80
0	814	80
0	16	66
0	23	66
1	90	66
0	712	66
0	34	240
1	95	240
2	195	240
3	539	240
4	2494	240
5	4900	240
6	6147	240
7	7103	240
8	7625	240
0	8012	222

Stop Event

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

Compiler

Compiled 97 to 45 computations (53.6% saved)

preprocess39.0ms (0.8%)

Memory: -14.6MiB live, 102.0MiB allocated
Compiler: Compiled 140 to 52 computations (62.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	20	104
0	30	104
1	55	103
2	127	102
3	215	102
4	293	102
5	324	102
6	418	102
7	418	102
8	439	102
9	495	102
10	600	102
11	672	102
12	721	102
13	721	102
0	721	98

Iter	Nodes	Cost
0	20	104
0	30	104
1	55	103
2	127	102
3	215	102
4	293	102
5	324	102
6	418	102
7	418	102
8	439	102
9	495	102
10	600	102
11	672	102
12	721	102
13	721	102
0	721	98

analyze33.0ms (0.7%)

sample778.0ms (17%)

preprocess107.0ms (2.3%)

explain69.0ms (1.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0.1%)

localize25.0ms (0.5%)

series5.0ms (0.1%)

simplify243.0ms (5.3%)

rewrite77.0ms (1.7%)

eval31.0ms (0.7%)

prune9.0ms (0.2%)

simplify18.0ms (0.4%)

localize45.0ms (1%)

series10.0ms (0.2%)

simplify264.0ms (5.8%)

rewrite70.0ms (1.5%)

eval80.0ms (1.7%)

prune47.0ms (1%)

simplify49.0ms (1.1%)

localize65.0ms (1.4%)

series7.0ms (0.1%)

simplify290.0ms (6.3%)

rewrite134.0ms (2.9%)

eval280.0ms (6.1%)

prune189.0ms (4.1%)

simplify14.0ms (0.3%)

localize97.0ms (2.1%)

series18.0ms (0.4%)

simplify329.0ms (7.2%)

rewrite153.0ms (3.3%)

eval221.0ms (4.8%)

prune101.0ms (2.2%)

regimes30.0ms (0.6%)

regimes30.0ms (0.7%)

regimes28.0ms (0.6%)

regimes25.0ms (0.6%)

bsearch0.0ms (0%)

simplify6.0ms (0.1%)

soundness561.0ms (12.2%)

preprocess39.0ms (0.8%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	20	104
0	30	104
1	55	103
2	127	102
3	215	102
4	293	102
5	324	102
6	418	102
7	418	102
8	439	102
9	495	102
10	600	102
11	672	102
12	721	102
13	721	102
0	721	98