Metrics for Data.Colour.RGB:hslsv from colour-2.3.3, C

analyze18.0ms (0.3%)

Memory

4.1MiB live, 43.1MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
25%	25%	74.9%	0.1%	0%	0%	0%	3
37.5%	37.5%	62.4%	0.1%	0%	0%	0%	4
56.3%	56.2%	43.7%	0.1%	0%	0%	0%	5
65.6%	65.6%	34.3%	0.1%	0%	0%	0%	6
79.7%	79.6%	20.3%	0.1%	0%	0%	0%	7
83.6%	83.5%	16.4%	0.1%	0%	0%	0%	8
90.2%	90.1%	9.8%	0.1%	0%	0%	0%	9
92%	91.9%	8%	0.1%	0%	0%	0%	10
95.2%	95.1%	4.8%	0.1%	0%	0%	0%	11
96%	96%	4%	0.1%	0%	0%	0%	12

Compiler

Compiled 11 to 9 computations (18.2% saved)

sample678.0ms (10.4%)

Memory

7.7MiB live, 1 235.4MiB allocated

Samples

439.0ms	8 255×	0	valid
0.0ms	1×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 223.0ms

ival-sub: 91.0ms (40.7% of total)

ival-div: 78.0ms (34.9% of total)

ival-add: 40.0ms (17.9% of total)

ival-true: 6.0ms (2.7% of total)

exact: 5.0ms (2.2% of total)

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

adjust: 0.0ms (0% of total)

Bogosity

preprocess88.0ms (1.3%)

Memory

9.8MiB live, 87.9MiB allocated

Algorithm

1×	egg-herbie

Rules

464×	`lower-fma.f64`
464×	`lower-fma.f32`
312×	`unsub-neg`
260×	`div-sub`
226×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	51
1	66	47
2	168	46
3	494	45
4	1095	45
5	1632	45
6	1885	45
7	1991	45
8	2049	45
9	2062	45
0	7	9
0	11	9
1	21	9
2	38	9
3	79	9
4	186	9
5	346	9
6	616	9
7	904	9
8	948	9
9	964	9
10	965	9
0	965	9

Stop Event

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

Calls

Call 1

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

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

explain83.0ms (1.3%)

Memory

-24.9MiB live, 209.4MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`#s(literal 2 binary64)`
-	-	`y`
-	-	`(-.f64 x y)`
-	-	`(+.f64 x y)`
-	-	`(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))`
-	-	`(-.f64 #s(literal 2 binary64) (+.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

29.0ms

512×

valid

Compiler

Compiled 72 to 32 computations (55.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-sub: 5.0ms (42% of total)

ival-div: 3.0ms (25.2% of total)

ival-add: 3.0ms (25.2% of total)

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

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))

Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify35.0ms (0.5%)

Memory

22.2MiB live, 61.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

464×	`lower-fma.f64`
464×	`lower-fma.f32`
224×	`lower-*.f64`
224×	`lower-*.f32`
152×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	23
0	11	23
1	21	23
2	38	23
3	79	23
4	186	23
5	346	23
6	616	23
7	904	23
8	948	23
9	964	23
10	965	23
0	965	23

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize22.0ms (0.3%)

Memory

10.4MiB live, 50.0MiB allocated

Localize:

Found 4 expressions of interest:

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

Samples

14.0ms

256×

valid

Compiler

Compiled 25 to 9 computations (64% saved)

Precisions

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

ival-sub: 2.0ms (30.8% of total)

ival-div: 2.0ms (30.8% of total)

ival-add: 1.0ms (15.4% of total)

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

exact: 0.0ms (0% of total)

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

series12.0ms (0.2%)

Memory

-37.5MiB live, 15.3MiB allocated

Counts

4 → 96

Calls

Call 1

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

Outputs
#<alt (* -1 (/ y (- 2 y)))>
#<alt (+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))))>
#<alt (+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2)))))>
#<alt (+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2)))))>
#<alt -1>
#<alt (- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))>
#<alt (- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x))))>
#<alt (- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x)))))>
#<alt -1>
#<alt (- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))>
#<alt (- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1)>
#<alt (- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1)>
#<alt (/ x (- 2 x))>
#<alt (+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))>
#<alt (+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))>
#<alt (+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))>
#<alt 1>
#<alt (- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y)))>
#<alt (- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y)))>
#<alt (- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (- (* 2 x) 2) y)))>
#<alt (+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y)))>
#<alt (+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y)))>
#<alt (* -1 y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt x>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (* -1 y)>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (- 2 y)>
#<alt (- (+ 2 (* -1 x)) y)>
#<alt (- (+ 2 (* -1 x)) y)>
#<alt (- (+ 2 (* -1 x)) y)>
#<alt (* -1 x)>
#<alt (* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))>
#<alt (* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))>
#<alt (* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))>
#<alt (- 2 x)>
#<alt (- (+ 2 (* -1 y)) x)>
#<alt (- (+ 2 (* -1 y)) x)>
#<alt (- (+ 2 (* -1 y)) x)>
#<alt (* -1 y)>
#<alt (* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))>
#<alt (* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))>
#<alt (* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))>
#<alt (* -1 y)>
#<alt (* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))>
#<alt (* -1 (* y (+ 1 (* -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)))>

Calls

24 calls:

Time	Variable		Point	Expression
5.0ms	x	@	0	(/ (- x y) (- 2 (+ x y)))
2.0ms	x	@	inf	(/ (- x y) (- 2 (+ x y)))
1.0ms	y	@	inf	(/ (- x y) (- 2 (+ x y)))
1.0ms	y	@	0	(/ (- x y) (- 2 (+ x y)))
1.0ms	x	@	-inf	(/ (- x y) (- 2 (+ x y)))

rewrite334.0ms (5.1%)

Memory

44.3MiB live, 424.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 750×	`lower-fma.f64`
4 750×	`lower-fma.f32`
4 670×	`lower-*.f64`
4 670×	`lower-*.f32`
4 200×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	20
0	11	20
1	60	20
2	525	20
3	7752	20
0	8474	20

Stop Event

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

Counts

4 → 607

Calls

Call 1

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

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

simplify432.0ms (6.6%)

Memory

-43.9MiB live, 525.4MiB allocated

Algorithm

1×	egg-herbie

Rules

12 038×	`lower-fma.f64`
12 038×	`lower-fma.f32`
4 472×	`lower-*.f64`
4 472×	`lower-*.f32`
2 680×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	186	985
1	571	921
2	1809	857
3	7607	851
0	8573	806

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 87

Calls

Call 1

Inputs
(* -1 (/ y (- 2 y)))
(+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))))
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2)))))
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2)))))
-1
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
(- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x)))))
-1
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1)
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1)
(/ x (- 2 x))
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
1
(- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y)))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y)))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y))))
1
(+ 1 (* -1 (/ (- (* 2 x) 2) y)))
(+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y)))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y)))
(* -1 y)
(- x y)
(- x y)
(- x y)
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
x
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
x
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* -1 y))
(* -1 y)
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(- 2 y)
(- (+ 2 (* -1 x)) y)
(- (+ 2 (* -1 x)) y)
(- (+ 2 (* -1 x)) y)
(* -1 x)
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(- 2 x)
(- (+ 2 (* -1 y)) x)
(- (+ 2 (* -1 y)) x)
(- (+ 2 (* -1 y)) x)
(* -1 y)
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
(* -1 (* y (+ 1 (* -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)))

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

eval86.0ms (1.3%)

Memory: 19.7MiB live, 172.3MiB allocated
Compiler: Compiled 19 528 to 1 840 computations (90.6% saved)

prune91.0ms (1.4%)

Memory

6.1MiB live, 213.9MiB allocated

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	684	10	694
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	684	11	695

Accuracy

100.0%

Counts

695 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) x (/.f64 y (+.f64 (+.f64 x y) #s(literal -2 binary64))))
	92.3%	(/.f64 (fma.f64 y (/.f64 x y) (neg.f64 y)) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
✓	100.0%	(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
▶	65.4%	(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) y))
	39.7%	(/.f64 (-.f64 x y) (neg.f64 y))
▶	36.7%	(/.f64 (-.f64 x y) (neg.f64 x))
	51.6%	(/.f64 y (+.f64 y #s(literal -2 binary64)))
▶	50.9%	(/.f64 x (-.f64 #s(literal 2 binary64) x))
	39.6%	(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x x)) y))
	39.3%	#s(literal 1 binary64)
▶	36.3%	#s(literal -1 binary64)

Compiler

Compiled 189 to 127 computations (32.8% saved)

simplify83.0ms (1.3%)

Memory

-8.6MiB live, 66.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 #s(literal 2 binary64) y)
✓	cost-diff	0	(-.f64 x y)
✓	cost-diff	0	(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) y))
✓	cost-diff	0	(neg.f64 x)
✓	cost-diff	0	(-.f64 x y)
✓	cost-diff	128	(/.f64 (-.f64 x y) (neg.f64 x))
✓	cost-diff	0	(-.f64 #s(literal 2 binary64) x)
✓	cost-diff	0	(/.f64 x (-.f64 #s(literal 2 binary64) x))
✓	cost-diff	0	(+.f64 x y)
✓	cost-diff	0	(-.f64 #s(literal 2 binary64) (+.f64 x y))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
✓	cost-diff	1280	(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) x (/.f64 y (+.f64 (+.f64 x y) #s(literal -2 binary64))))

Rules

800×	`lower-fma.f32`
798×	`lower-fma.f64`
464×	`lower-*.f64`
464×	`lower-*.f32`
320×	`div-sub`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	19	88
0	33	88
1	60	87
2	107	86
3	240	86
4	448	86
5	927	86
6	1602	82
7	1730	80
8	1800	80
9	1827	80
10	1829	80
0	1829	80

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize66.0ms (1%)

Memory

23.3MiB live, 103.1MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 x y)
✓	accuracy	100.0%	(-.f64 #s(literal 2 binary64) y)
✓	accuracy	100.0%	(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) y))
✓	accuracy	100.0%	(-.f64 x y)
✓	accuracy	100.0%	(neg.f64 x)
✓	accuracy	100.0%	(/.f64 (-.f64 x y) (neg.f64 x))
✓	accuracy	100.0%	(-.f64 #s(literal 2 binary64) x)
✓	accuracy	100.0%	(/.f64 x (-.f64 #s(literal 2 binary64) x))
✓	accuracy	100.0%	(+.f64 x y)
✓	accuracy	100.0%	(/.f64 y (+.f64 (+.f64 x y) #s(literal -2 binary64)))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
✓	accuracy	99.9%	(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) x (/.f64 y (+.f64 (+.f64 x y) #s(literal -2 binary64))))

Samples

41.0ms

256×

valid

Compiler

Compiled 91 to 22 computations (75.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-div: 13.0ms (52.1% of total)

ival-sub: 5.0ms (20% of total)

ival-add: 4.0ms (16% of total)

ival-mult: 2.0ms (8% of total)

ival-neg: 1.0ms (4% of total)

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

exact: 0.0ms (0% of total)

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

series33.0ms (0.5%)

Memory

-14.0MiB live, 24.2MiB allocated

Counts

12 → 240

Calls

Call 1

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

Outputs
#<alt (/ y (- y 2))>
#<alt (+ (* x (- (/ 1 (- 2 y)) (/ y (pow (- y 2) 2)))) (/ y (- y 2)))>
#<alt (+ (* x (- (+ (* x (- (/ 1 (pow (- 2 y) 2)) (* -1 (/ y (pow (- y 2) 3))))) (/ 1 (- 2 y))) (/ y (pow (- y 2) 2)))) (/ y (- y 2)))>
#<alt (+ (* x (- (+ (* x (- (+ (* x (- (/ 1 (pow (- 2 y) 3)) (/ y (pow (- y 2) 4)))) (/ 1 (pow (- 2 y) 2))) (* -1 (/ y (pow (- y 2) 3))))) (/ 1 (- 2 y))) (/ y (pow (- y 2) 2)))) (/ y (- y 2)))>
#<alt -1>
#<alt (- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))>
#<alt (- (+ (* -1 (/ (+ (* -1 (* (- 2 y) (- y 2))) (* y (- y 2))) (pow x 2))) (* 2 (/ y x))) (+ 1 (* 2 (/ 1 x))))>
#<alt (- (+ (* -1 (/ (+ (* -1 (* y (pow (- y 2) 2))) (* -1 (* (pow (- 2 y) 2) (- y 2)))) (pow x 3))) (* 2 (/ y x))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- y 2)) (pow x 2))) (+ (* 2 (/ 1 x)) (/ (* y (- y 2)) (pow x 2))))))>
#<alt -1>
#<alt (- (* -1 (/ (- (+ 2 (* -1 y)) y) x)) 1)>
#<alt (- (* -1 (/ (- (+ 2 (+ (* -1 y) (* -1 (/ (- (* (- 2 y) (- y 2)) (* y (- y 2))) x)))) y) x)) 1)>
#<alt (- (* -1 (/ (- (+ 2 (+ (* -1 y) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (* (pow (- 2 y) 2) (- y 2))) (* y (pow (- y 2) 2))) x)) (* (- 2 y) (- y 2))) (* y (- y 2))) x)))) y) x)) 1)>
#<alt (/ x (- 2 x))>
#<alt (+ (* y (- (/ 1 (- x 2)) (* -1 (/ x (pow (- 2 x) 2))))) (/ x (- 2 x)))>
#<alt (+ (* y (- (+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- x 2) 2))))) (/ 1 (- x 2))) (* -1 (/ x (pow (- 2 x) 2))))) (/ x (- 2 x)))>
#<alt (+ (* y (- (+ (* y (- (* y (- (/ 1 (pow (- x 2) 3)) (* -1 (/ x (pow (- 2 x) 4))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- x 2) 2))))) (/ 1 (- x 2))) (* -1 (/ x (pow (- 2 x) 2))))) (/ x (- 2 x)))>
#<alt 1>
#<alt (- (+ 1 (+ (* -1 (/ x y)) (* 2 (/ 1 y)))) (/ x y))>
#<alt (- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ (+ (* x (- 2 x)) (* (- 2 x) (- x 2))) (pow y 2))) (* 2 (/ 1 y))))) (/ x y))>
#<alt (- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ (+ (* -1 (* (- 2 x) (pow (- x 2) 2))) (* x (pow (- 2 x) 2))) (pow y 3))) (* 2 (/ 1 y))))) (+ (/ x y) (+ (/ (* x (- 2 x)) (pow y 2)) (/ (* (- 2 x) (- x 2)) (pow y 2)))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (- (* 2 x) 2) y)))>
#<alt (+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (* (- 2 x) (- x 2))) (* x (- 2 x))) y)) (* 2 x)) 2) y)))>
#<alt (+ 1 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (* (- 2 x) (- x 2))) (* -1 (/ (- (* -1 (* (- 2 x) (pow (- x 2) 2))) (* -1 (* x (pow (- 2 x) 2)))) y))) (* x (- 2 x))) y)) (* 2 x)) 2) y)))>
#<alt (/ 1 (- 2 y))>
#<alt (+ (/ 1 (- 2 y)) (/ x (pow (- 2 y) 2)))>
#<alt (+ (* x (+ (/ 1 (pow (- 2 y) 2)) (/ x (pow (- 2 y) 3)))) (/ 1 (- 2 y)))>
#<alt (+ (* x (+ (* x (+ (/ 1 (pow (- 2 y) 3)) (/ x (pow (- 2 y) 4)))) (/ 1 (pow (- 2 y) 2)))) (/ 1 (- 2 y)))>
#<alt (/ -1 x)>
#<alt (/ (- (/ y x) (+ 1 (* 2 (/ 1 x)))) x)>
#<alt (/ (- (+ (/ y x) (/ (* (- 2 y) (- y 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) x)>
#<alt (/ (- (+ (/ y x) (/ (* (pow (- 2 y) 2) (- y 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- y 2)) (pow x 2))) (* 2 (/ 1 x))))) x)>
#<alt (/ -1 x)>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- y 2) x))) x))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (+ y (/ (* (- 2 y) (- y 2)) x)) 2) x))) x))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (+ y (* -1 (/ (- (* -1 (/ (* (pow (- 2 y) 2) (- y 2)) x)) (* (- 2 y) (- y 2))) x))) 2) x))) x))>
#<alt (/ 1 (- 2 x))>
#<alt (+ (/ 1 (- 2 x)) (/ y (pow (- 2 x) 2)))>
#<alt (+ (* y (+ (/ 1 (pow (- 2 x) 2)) (/ y (pow (- 2 x) 3)))) (/ 1 (- 2 x)))>
#<alt (+ (* y (+ (* y (+ (/ 1 (pow (- 2 x) 3)) (/ y (pow (- 2 x) 4)))) (/ 1 (pow (- 2 x) 2)))) (/ 1 (- 2 x)))>
#<alt (/ -1 y)>
#<alt (/ (- (/ x y) (+ 1 (* 2 (/ 1 y)))) y)>
#<alt (/ (- (+ (/ x y) (/ (* (- 2 x) (- x 2)) (pow y 2))) (+ 1 (* 2 (/ 1 y)))) y)>
#<alt (/ (- (+ (/ x y) (/ (* (pow (- 2 x) 2) (- x 2)) (pow y 3))) (+ 1 (+ (* -1 (/ (* (- 2 x) (- x 2)) (pow y 2))) (* 2 (/ 1 y))))) y)>
#<alt (/ -1 y)>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- x 2) y))) y))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (+ x (/ (* (- 2 x) (- x 2)) y)) 2) y))) y))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- x 2)) y)) (* (- 2 x) (- x 2))) y))) 2) y))) y))>
#<alt (- 2 y)>
#<alt (- (+ 2 (* -1 x)) y)>
#<alt (- (+ 2 (* -1 x)) y)>
#<alt (- (+ 2 (* -1 x)) y)>
#<alt (* -1 x)>
#<alt (* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))>
#<alt (* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))>
#<alt (* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))>
#<alt (- 2 x)>
#<alt (- (+ 2 (* -1 y)) x)>
#<alt (- (+ 2 (* -1 y)) x)>
#<alt (- (+ 2 (* -1 y)) x)>
#<alt (* -1 y)>
#<alt (* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))>
#<alt (* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))>
#<alt (* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))>
#<alt (* -1 y)>
#<alt (* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))>
#<alt (* -1 (* y (+ 1 (* -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 (* 1/2 x)>
#<alt (* x (+ 1/2 (* 1/4 x)))>
#<alt (* x (+ 1/2 (* x (+ 1/4 (* 1/8 x)))))>
#<alt (* x (+ 1/2 (* x (+ 1/4 (* x (+ 1/8 (* 1/16 x)))))))>
#<alt -1>
#<alt (* -1 (+ 1 (* 2 (/ 1 x))))>
#<alt (- (* -1 (/ (+ 2 (* 4 (/ 1 x))) x)) 1)>
#<alt (- (* -1 (/ (+ 4 (* 8 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x))))>
#<alt -1>
#<alt (* -1 (+ 1 (* 2 (/ 1 x))))>
#<alt (- (* -1 (/ (+ 2 (* 4 (/ 1 x))) x)) 1)>
#<alt (- (* -1 (/ (+ 2 (+ (* 4 (/ 1 x)) (/ 8 (pow x 2)))) x)) 1)>
#<alt 2>
#<alt (+ 2 (* -1 x))>
#<alt (+ 2 (* -1 x))>
#<alt (+ 2 (* -1 x))>
#<alt (* -1 x)>
#<alt (* x (- (* 2 (/ 1 x)) 1))>
#<alt (* x (- (* 2 (/ 1 x)) 1))>
#<alt (* x (- (* 2 (/ 1 x)) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (* 2 (/ 1 x)))))>
#<alt (* -1 (* x (- 1 (* 2 (/ 1 x)))))>
#<alt (* -1 (* x (- 1 (* 2 (/ 1 x)))))>
#<alt (/ y x)>
#<alt (/ (+ y (* -1 x)) x)>
#<alt (/ (+ y (* -1 x)) x)>
#<alt (/ (+ y (* -1 x)) x)>
#<alt -1>
#<alt (- (/ y x) 1)>
#<alt (- (/ y x) 1)>
#<alt (- (/ y x) 1)>
#<alt -1>
#<alt (- (/ y x) 1)>
#<alt (- (/ y x) 1)>
#<alt (- (/ y x) 1)>
#<alt -1>
#<alt (- (/ y x) 1)>
#<alt (- (/ y x) 1)>
#<alt (- (/ y x) 1)>
#<alt (/ y x)>
#<alt (* y (- (/ 1 x) (/ 1 y)))>
#<alt (* y (- (/ 1 x) (/ 1 y)))>
#<alt (* y (- (/ 1 x) (/ 1 y)))>
#<alt (/ y x)>
#<alt (* -1 (* y (- (/ 1 y) (/ 1 x))))>
#<alt (* -1 (* y (- (/ 1 y) (/ 1 x))))>
#<alt (* -1 (* y (- (/ 1 y) (/ 1 x))))>
#<alt (* -1 y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt x>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (* -1 y)>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 (/ y (- 2 y)))>
#<alt (+ (* -1 (/ y (- 2 y))) (/ x (- 2 y)))>
#<alt (+ (* -1 (/ y (- 2 y))) (/ x (- 2 y)))>
#<alt (+ (* -1 (/ y (- 2 y))) (/ x (- 2 y)))>
#<alt (/ x (- 2 y))>
#<alt (* x (+ (* -1 (/ y (* x (- 2 y)))) (/ 1 (- 2 y))))>
#<alt (* x (+ (* -1 (/ y (* x (- 2 y)))) (/ 1 (- 2 y))))>
#<alt (* x (+ (* -1 (/ y (* x (- 2 y)))) (/ 1 (- 2 y))))>
#<alt (/ x (- 2 y))>
#<alt (* -1 (* x (- (/ y (* x (- 2 y))) (/ 1 (- 2 y)))))>
#<alt (* -1 (* x (- (/ y (* x (- 2 y))) (/ 1 (- 2 y)))))>
#<alt (* -1 (* x (- (/ y (* x (- 2 y))) (/ 1 (- 2 y)))))>
#<alt (* 1/2 x)>
#<alt (+ (* -1 (* y (+ 1/2 (* -1/4 x)))) (* 1/2 x))>
#<alt (+ (* 1/2 x) (* y (- (* -1/2 (* y (+ 1/2 (* -1/4 x)))) (+ 1/2 (* -1/4 x)))))>
#<alt (+ (* 1/2 x) (* y (- (* y (- (* -1/4 (* y (+ 1/2 (* -1/4 x)))) (* 1/2 (+ 1/2 (* -1/4 x))))) (+ 1/2 (* -1/4 x)))))>
#<alt 1>
#<alt (+ 1 (+ (* -1 (/ x y)) (* 2 (/ 1 y))))>
#<alt (+ 1 (+ (* -1 (/ x y)) (+ (* 2 (/ (+ 2 (* -1 x)) (pow y 2))) (* 2 (/ 1 y)))))>
#<alt (- (+ 1 (+ (* -1 (/ x y)) (+ (* 4 (/ (+ 2 (* -1 x)) (pow y 3))) (* 2 (/ 1 y))))) (* -2 (/ (+ 2 (* -1 x)) (pow y 2))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (- x 2) y)))>
#<alt (+ 1 (* -1 (/ (- (+ x (* 2 (/ (- x 2) y))) 2) y)))>
#<alt (+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (* -4 (/ (- x 2) y)) (* 2 (- x 2))) y))) 2) y)))>
#<alt 2>
#<alt (+ 2 (* -1 y))>
#<alt (+ 2 (* -1 y))>
#<alt (+ 2 (* -1 y))>
#<alt (* -1 y)>
#<alt (* y (- (* 2 (/ 1 y)) 1))>
#<alt (* y (- (* 2 (/ 1 y)) 1))>
#<alt (* y (- (* 2 (/ 1 y)) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (- 1 (* 2 (/ 1 y)))))>
#<alt (* -1 (* y (- 1 (* 2 (/ 1 y)))))>
#<alt (* -1 (* y (- 1 (* 2 (/ 1 y)))))>
#<alt (/ y (- x 2))>
#<alt (* y (+ (* -1 (/ y (pow (- x 2) 2))) (/ 1 (- x 2))))>
#<alt (* y (+ (* y (- (/ y (pow (- x 2) 3)) (/ 1 (pow (- x 2) 2)))) (/ 1 (- x 2))))>
#<alt (* y (+ (* y (- (* y (+ (* -1 (/ y (pow (- x 2) 4))) (/ 1 (pow (- x 2) 3)))) (/ 1 (pow (- x 2) 2)))) (/ 1 (- x 2))))>
#<alt 1>
#<alt (- (+ 1 (* 2 (/ 1 y))) (/ x y))>
#<alt (- (+ 1 (+ (* -1 (/ (* (- 2 x) (- x 2)) (pow y 2))) (* 2 (/ 1 y)))) (/ x y))>
#<alt (- (+ 1 (+ (* 2 (/ 1 y)) (/ (* (- 2 x) (pow (- x 2) 2)) (pow y 3)))) (+ (/ x y) (/ (* (- 2 x) (- x 2)) (pow y 2))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (- x 2) y)))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (pow (- x 2) 2) y)) (* -1 (- x 2))) y)))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (- x 2) 3) y)) (* -1 (pow (- x 2) 2))) y)) (* -1 (- x 2))) y)))>
#<alt (/ y (- y 2))>
#<alt (+ (* -1 (/ (* x y) (pow (- y 2) 2))) (/ y (- y 2)))>
#<alt (+ (* x (- (/ (* x y) (pow (- y 2) 3)) (/ y (pow (- y 2) 2)))) (/ y (- y 2)))>
#<alt (+ (* x (- (* x (- (* -1 (/ (* x y) (pow (- y 2) 4))) (* -1 (/ y (pow (- y 2) 3))))) (/ y (pow (- y 2) 2)))) (/ y (- y 2)))>
#<alt (/ y x)>
#<alt (/ (+ y (* -1 (/ (* y (- y 2)) x))) x)>
#<alt (/ (- (+ y (/ (* y (pow (- y 2) 2)) (pow x 2))) (/ (* y (- y 2)) x)) x)>
#<alt (/ (- (+ y (* -1 (/ (* y (pow (- y 2) 3)) (pow x 3)))) (+ (* -1 (/ (* y (pow (- y 2) 2)) (pow x 2))) (/ (* y (- y 2)) x))) x)>
#<alt (/ y x)>
#<alt (* -1 (/ (+ (* -1 y) (/ (* y (- y 2)) x)) x))>
#<alt (* -1 (/ (+ (* -1 y) (* -1 (/ (- (/ (* y (pow (- y 2) 2)) x) (* y (- y 2))) x))) x))>
#<alt (* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ (* y (pow (- y 2) 3)) x) (* y (pow (- y 2) 2))) x)) (* y (- y 2))) x))) x))>

Calls

60 calls:

Time	Variable		Point	Expression
17.0ms	x	@	0	(+ (* (/ 1 (- 2 (+ x y))) x) (/ y (+ (+ x y) -2)))
1.0ms	x	@	0	(/ (- x y) (neg x))
1.0ms	x	@	inf	(+ (* (/ 1 (- 2 (+ x y))) x) (/ y (+ (+ x y) -2)))
1.0ms	y	@	0	(/ y (+ (+ x y) -2))
1.0ms	y	@	0	(+ (* (/ 1 (- 2 (+ x y))) x) (/ y (+ (+ x y) -2)))

rewrite336.0ms (5.2%)

Memory

-2.8MiB live, 508.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 062×	`lower-/.f32`
5 052×	`lower-/.f64`
4 066×	`lower-*.f64`
4 066×	`lower-*.f32`
3 578×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	67
0	32	67
1	162	66
2	1416	66
0	8442	66

Stop Event

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

Counts

12 → 605

Calls

Call 1

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

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

simplify410.0ms (6.3%)

Memory

43.9MiB live, 547.4MiB allocated

Algorithm

1×	egg-herbie

Rules

7 674×	`lower-fma.f64`
7 674×	`lower-fma.f32`
3 626×	`lower-*.f64`
3 626×	`lower-*.f32`
3 406×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	548	2615
1	1732	2386
2	5215	2315
0	8266	2232

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 231

Calls

Call 1

Inputs
(/ y (- y 2))
(+ (* x (- (/ 1 (- 2 y)) (/ y (pow (- y 2) 2)))) (/ y (- y 2)))
(+ (* x (- (+ (* x (- (/ 1 (pow (- 2 y) 2)) (* -1 (/ y (pow (- y 2) 3))))) (/ 1 (- 2 y))) (/ y (pow (- y 2) 2)))) (/ y (- y 2)))
(+ (* x (- (+ (* x (- (+ (* x (- (/ 1 (pow (- 2 y) 3)) (/ y (pow (- y 2) 4)))) (/ 1 (pow (- 2 y) 2))) (* -1 (/ y (pow (- y 2) 3))))) (/ 1 (- 2 y))) (/ y (pow (- y 2) 2)))) (/ y (- y 2)))
-1
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(- (+ (* -1 (/ (+ (* -1 (* (- 2 y) (- y 2))) (* y (- y 2))) (pow x 2))) (* 2 (/ y x))) (+ 1 (* 2 (/ 1 x))))
(- (+ (* -1 (/ (+ (* -1 (* y (pow (- y 2) 2))) (* -1 (* (pow (- 2 y) 2) (- y 2)))) (pow x 3))) (* 2 (/ y x))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- y 2)) (pow x 2))) (+ (* 2 (/ 1 x)) (/ (* y (- y 2)) (pow x 2))))))
-1
(- (* -1 (/ (- (+ 2 (* -1 y)) y) x)) 1)
(- (* -1 (/ (- (+ 2 (+ (* -1 y) (* -1 (/ (- (* (- 2 y) (- y 2)) (* y (- y 2))) x)))) y) x)) 1)
(- (* -1 (/ (- (+ 2 (+ (* -1 y) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (* (pow (- 2 y) 2) (- y 2))) (* y (pow (- y 2) 2))) x)) (* (- 2 y) (- y 2))) (* y (- y 2))) x)))) y) x)) 1)
(/ x (- 2 x))
(+ (* y (- (/ 1 (- x 2)) (* -1 (/ x (pow (- 2 x) 2))))) (/ x (- 2 x)))
(+ (* y (- (+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- x 2) 2))))) (/ 1 (- x 2))) (* -1 (/ x (pow (- 2 x) 2))))) (/ x (- 2 x)))
(+ (* y (- (+ (* y (- (* y (- (/ 1 (pow (- x 2) 3)) (* -1 (/ x (pow (- 2 x) 4))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- x 2) 2))))) (/ 1 (- x 2))) (* -1 (/ x (pow (- 2 x) 2))))) (/ x (- 2 x)))
1
(- (+ 1 (+ (* -1 (/ x y)) (* 2 (/ 1 y)))) (/ x y))
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ (+ (* x (- 2 x)) (* (- 2 x) (- x 2))) (pow y 2))) (* 2 (/ 1 y))))) (/ x y))
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ (+ (* -1 (* (- 2 x) (pow (- x 2) 2))) (* x (pow (- 2 x) 2))) (pow y 3))) (* 2 (/ 1 y))))) (+ (/ x y) (+ (/ (* x (- 2 x)) (pow y 2)) (/ (* (- 2 x) (- x 2)) (pow y 2)))))
1
(+ 1 (* -1 (/ (- (* 2 x) 2) y)))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (* (- 2 x) (- x 2))) (* x (- 2 x))) y)) (* 2 x)) 2) y)))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (* (- 2 x) (- x 2))) (* -1 (/ (- (* -1 (* (- 2 x) (pow (- x 2) 2))) (* -1 (* x (pow (- 2 x) 2)))) y))) (* x (- 2 x))) y)) (* 2 x)) 2) y)))
(/ 1 (- 2 y))
(+ (/ 1 (- 2 y)) (/ x (pow (- 2 y) 2)))
(+ (* x (+ (/ 1 (pow (- 2 y) 2)) (/ x (pow (- 2 y) 3)))) (/ 1 (- 2 y)))
(+ (* x (+ (* x (+ (/ 1 (pow (- 2 y) 3)) (/ x (pow (- 2 y) 4)))) (/ 1 (pow (- 2 y) 2)))) (/ 1 (- 2 y)))
(/ -1 x)
(/ (- (/ y x) (+ 1 (* 2 (/ 1 x)))) x)
(/ (- (+ (/ y x) (/ (* (- 2 y) (- y 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) x)
(/ (- (+ (/ y x) (/ (* (pow (- 2 y) 2) (- y 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- y 2)) (pow x 2))) (* 2 (/ 1 x))))) x)
(/ -1 x)
(* -1 (/ (+ 1 (* -1 (/ (- y 2) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (+ y (/ (* (- 2 y) (- y 2)) x)) 2) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (+ y (* -1 (/ (- (* -1 (/ (* (pow (- 2 y) 2) (- y 2)) x)) (* (- 2 y) (- y 2))) x))) 2) x))) x))
(/ 1 (- 2 x))
(+ (/ 1 (- 2 x)) (/ y (pow (- 2 x) 2)))
(+ (* y (+ (/ 1 (pow (- 2 x) 2)) (/ y (pow (- 2 x) 3)))) (/ 1 (- 2 x)))
(+ (* y (+ (* y (+ (/ 1 (pow (- 2 x) 3)) (/ y (pow (- 2 x) 4)))) (/ 1 (pow (- 2 x) 2)))) (/ 1 (- 2 x)))
(/ -1 y)
(/ (- (/ x y) (+ 1 (* 2 (/ 1 y)))) y)
(/ (- (+ (/ x y) (/ (* (- 2 x) (- x 2)) (pow y 2))) (+ 1 (* 2 (/ 1 y)))) y)
(/ (- (+ (/ x y) (/ (* (pow (- 2 x) 2) (- x 2)) (pow y 3))) (+ 1 (+ (* -1 (/ (* (- 2 x) (- x 2)) (pow y 2))) (* 2 (/ 1 y))))) y)
(/ -1 y)
(* -1 (/ (+ 1 (* -1 (/ (- x 2) y))) y))
(* -1 (/ (+ 1 (* -1 (/ (- (+ x (/ (* (- 2 x) (- x 2)) y)) 2) y))) y))
(* -1 (/ (+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- x 2)) y)) (* (- 2 x) (- x 2))) y))) 2) y))) y))
(- 2 y)
(- (+ 2 (* -1 x)) y)
(- (+ 2 (* -1 x)) y)
(- (+ 2 (* -1 x)) y)
(* -1 x)
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(- 2 x)
(- (+ 2 (* -1 y)) x)
(- (+ 2 (* -1 y)) x)
(- (+ 2 (* -1 y)) x)
(* -1 y)
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
(* -1 (* y (+ 1 (* -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)))
(* 1/2 x)
(* x (+ 1/2 (* 1/4 x)))
(* x (+ 1/2 (* x (+ 1/4 (* 1/8 x)))))
(* x (+ 1/2 (* x (+ 1/4 (* x (+ 1/8 (* 1/16 x)))))))
-1
(* -1 (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 4 (/ 1 x))) x)) 1)
(- (* -1 (/ (+ 4 (* 8 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
-1
(* -1 (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 4 (/ 1 x))) x)) 1)
(- (* -1 (/ (+ 2 (+ (* 4 (/ 1 x)) (/ 8 (pow x 2)))) x)) 1)
2
(+ 2 (* -1 x))
(+ 2 (* -1 x))
(+ 2 (* -1 x))
(* -1 x)
(* x (- (* 2 (/ 1 x)) 1))
(* x (- (* 2 (/ 1 x)) 1))
(* x (- (* 2 (/ 1 x)) 1))
(* -1 x)
(* -1 (* x (- 1 (* 2 (/ 1 x)))))
(* -1 (* x (- 1 (* 2 (/ 1 x)))))
(* -1 (* x (- 1 (* 2 (/ 1 x)))))
(/ y x)
(/ (+ y (* -1 x)) x)
(/ (+ y (* -1 x)) x)
(/ (+ y (* -1 x)) x)
-1
(- (/ y x) 1)
(- (/ y x) 1)
(- (/ y x) 1)
-1
(- (/ y x) 1)
(- (/ y x) 1)
(- (/ y x) 1)
-1
(- (/ y x) 1)
(- (/ y x) 1)
(- (/ y x) 1)
(/ y x)
(* y (- (/ 1 x) (/ 1 y)))
(* y (- (/ 1 x) (/ 1 y)))
(* y (- (/ 1 x) (/ 1 y)))
(/ y x)
(* -1 (* y (- (/ 1 y) (/ 1 x))))
(* -1 (* y (- (/ 1 y) (/ 1 x))))
(* -1 (* y (- (/ 1 y) (/ 1 x))))
(* -1 y)
(- x y)
(- x y)
(- x y)
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
x
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
x
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* -1 y))
(* -1 y)
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 (/ y (- 2 y)))
(+ (* -1 (/ y (- 2 y))) (/ x (- 2 y)))
(+ (* -1 (/ y (- 2 y))) (/ x (- 2 y)))
(+ (* -1 (/ y (- 2 y))) (/ x (- 2 y)))
(/ x (- 2 y))
(* x (+ (* -1 (/ y (* x (- 2 y)))) (/ 1 (- 2 y))))
(* x (+ (* -1 (/ y (* x (- 2 y)))) (/ 1 (- 2 y))))
(* x (+ (* -1 (/ y (* x (- 2 y)))) (/ 1 (- 2 y))))
(/ x (- 2 y))
(* -1 (* x (- (/ y (* x (- 2 y))) (/ 1 (- 2 y)))))
(* -1 (* x (- (/ y (* x (- 2 y))) (/ 1 (- 2 y)))))
(* -1 (* x (- (/ y (* x (- 2 y))) (/ 1 (- 2 y)))))
(* 1/2 x)
(+ (* -1 (* y (+ 1/2 (* -1/4 x)))) (* 1/2 x))
(+ (* 1/2 x) (* y (- (* -1/2 (* y (+ 1/2 (* -1/4 x)))) (+ 1/2 (* -1/4 x)))))
(+ (* 1/2 x) (* y (- (* y (- (* -1/4 (* y (+ 1/2 (* -1/4 x)))) (* 1/2 (+ 1/2 (* -1/4 x))))) (+ 1/2 (* -1/4 x)))))
1
(+ 1 (+ (* -1 (/ x y)) (* 2 (/ 1 y))))
(+ 1 (+ (* -1 (/ x y)) (+ (* 2 (/ (+ 2 (* -1 x)) (pow y 2))) (* 2 (/ 1 y)))))
(- (+ 1 (+ (* -1 (/ x y)) (+ (* 4 (/ (+ 2 (* -1 x)) (pow y 3))) (* 2 (/ 1 y))))) (* -2 (/ (+ 2 (* -1 x)) (pow y 2))))
1
(+ 1 (* -1 (/ (- x 2) y)))
(+ 1 (* -1 (/ (- (+ x (* 2 (/ (- x 2) y))) 2) y)))
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (* -4 (/ (- x 2) y)) (* 2 (- x 2))) y))) 2) y)))
2
(+ 2 (* -1 y))
(+ 2 (* -1 y))
(+ 2 (* -1 y))
(* -1 y)
(* y (- (* 2 (/ 1 y)) 1))
(* y (- (* 2 (/ 1 y)) 1))
(* y (- (* 2 (/ 1 y)) 1))
(* -1 y)
(* -1 (* y (- 1 (* 2 (/ 1 y)))))
(* -1 (* y (- 1 (* 2 (/ 1 y)))))
(* -1 (* y (- 1 (* 2 (/ 1 y)))))
(/ y (- x 2))
(* y (+ (* -1 (/ y (pow (- x 2) 2))) (/ 1 (- x 2))))
(* y (+ (* y (- (/ y (pow (- x 2) 3)) (/ 1 (pow (- x 2) 2)))) (/ 1 (- x 2))))
(* y (+ (* y (- (* y (+ (* -1 (/ y (pow (- x 2) 4))) (/ 1 (pow (- x 2) 3)))) (/ 1 (pow (- x 2) 2)))) (/ 1 (- x 2))))
1
(- (+ 1 (* 2 (/ 1 y))) (/ x y))
(- (+ 1 (+ (* -1 (/ (* (- 2 x) (- x 2)) (pow y 2))) (* 2 (/ 1 y)))) (/ x y))
(- (+ 1 (+ (* 2 (/ 1 y)) (/ (* (- 2 x) (pow (- x 2) 2)) (pow y 3)))) (+ (/ x y) (/ (* (- 2 x) (- x 2)) (pow y 2))))
1
(+ 1 (* -1 (/ (- x 2) y)))
(+ 1 (* -1 (/ (- (* -1 (/ (pow (- x 2) 2) y)) (* -1 (- x 2))) y)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (- x 2) 3) y)) (* -1 (pow (- x 2) 2))) y)) (* -1 (- x 2))) y)))
(/ y (- y 2))
(+ (* -1 (/ (* x y) (pow (- y 2) 2))) (/ y (- y 2)))
(+ (* x (- (/ (* x y) (pow (- y 2) 3)) (/ y (pow (- y 2) 2)))) (/ y (- y 2)))
(+ (* x (- (* x (- (* -1 (/ (* x y) (pow (- y 2) 4))) (* -1 (/ y (pow (- y 2) 3))))) (/ y (pow (- y 2) 2)))) (/ y (- y 2)))
(/ y x)
(/ (+ y (* -1 (/ (* y (- y 2)) x))) x)
(/ (- (+ y (/ (* y (pow (- y 2) 2)) (pow x 2))) (/ (* y (- y 2)) x)) x)
(/ (- (+ y (* -1 (/ (* y (pow (- y 2) 3)) (pow x 3)))) (+ (* -1 (/ (* y (pow (- y 2) 2)) (pow x 2))) (/ (* y (- y 2)) x))) x)
(/ y x)
(* -1 (/ (+ (* -1 y) (/ (* y (- y 2)) x)) x))
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (/ (* y (pow (- y 2) 2)) x) (* y (- y 2))) x))) x))
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ (* y (pow (- y 2) 3)) x) (* y (pow (- y 2) 2))) x)) (* y (- y 2))) x))) x))

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

eval128.0ms (2%)

Memory: 4.0MiB live, 349.8MiB allocated
Compiler: Compiled 21 501 to 2 486 computations (88.4% saved)

prune123.0ms (1.9%)

Memory

-47.3MiB live, 359.5MiB allocated

Pruning

14 alts after pruning (10 fresh and 4 done)

	Pruned	Kept	Total
New	941	6	947
Fresh	1	4	5
Picked	2	3	5
Done	0	1	1
Total	944	14	958

Accuracy

100.0%

Counts

958 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) x (/.f64 y (+.f64 (+.f64 x y) #s(literal -2 binary64))))
▶	92.3%	(/.f64 (fma.f64 y (/.f64 x y) (neg.f64 y)) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
	36.7%	(/.f64 (-.f64 y x) x)
✓	100.0%	(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
▶	39.7%	(/.f64 (-.f64 x y) (neg.f64 y))
▶	27.8%	(/.f64 (-.f64 x y) #s(literal 2 binary64))
	51.6%	(/.f64 y (+.f64 y #s(literal -2 binary64)))
✓	50.9%	(/.f64 x (-.f64 #s(literal 2 binary64) x))
	39.6%	(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y))
	39.5%	(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) x) y))
▶	16.7%	(*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
	17.1%	(*.f64 x #s(literal 1/2 binary64))
▶	39.3%	#s(literal 1 binary64)
✓	36.3%	#s(literal -1 binary64)

Compiler

Compiled 197 to 138 computations (29.9% saved)

simplify306.0ms (4.7%)

Memory

3.5MiB live, 242.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(neg.f64 y)
✓	cost-diff	0	(-.f64 x y)
✓	cost-diff	128	(/.f64 (-.f64 x y) (neg.f64 y))
✓	cost-diff	0	(-.f64 x y)
✓	cost-diff	384	(/.f64 (-.f64 x y) #s(literal 2 binary64))
✓	cost-diff	0	(fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64))
✓	cost-diff	0	(*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
✓	cost-diff	0	(neg.f64 y)
✓	cost-diff	0	(/.f64 x y)
✓	cost-diff	0	(/.f64 (fma.f64 y (/.f64 x y) (neg.f64 y)) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
✓	cost-diff	1024	(fma.f64 y (/.f64 x y) (neg.f64 y))

Rules

3 976×	`lower-fma.f32`
3 972×	`lower-fma.f64`
3 164×	`lower-*.f32`
3 162×	`lower-*.f64`
1 602×	`lower-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	17	74
0	30	82
1	63	82
2	116	74
3	233	65
4	455	65
5	1382	65
6	4277	65
7	7180	65
0	8007	65

Stop Event

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

Calls

Call 1

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

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

localize68.0ms (1%)

Memory

-2.6MiB live, 113.2MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 x y)
✓	accuracy	100.0%	(neg.f64 y)
✓	accuracy	100.0%	(/.f64 (-.f64 x y) (neg.f64 y))
✓	accuracy	100.0%	(/.f64 (-.f64 x y) #s(literal 2 binary64))
✓	accuracy	100.0%	(-.f64 x y)
✓	accuracy	100.0%	(fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64))
✓	accuracy	100.0%	(*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
✓	accuracy	100.0%	(+.f64 x y)
✓	accuracy	100.0%	(neg.f64 y)
✓	accuracy	100.0%	(/.f64 (fma.f64 y (/.f64 x y) (neg.f64 y)) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
✓	accuracy	92.6%	(fma.f64 y (/.f64 x y) (neg.f64 y))

Samples

46.0ms

256×

valid

Compiler

Compiled 80 to 21 computations (73.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-div: 7.0ms (35.8% of total)

ival-mult: 5.0ms (25.5% of total)

ival-add: 4.0ms (20.4% of total)

ival-sub: 2.0ms (10.2% of total)

ival-neg: 1.0ms (5.1% of total)

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

exact: 0.0ms (0% of total)

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

series15.0ms (0.2%)

Memory

-18.4MiB live, 21.3MiB allocated

Counts

10 → 204

Calls

Call 1

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

Outputs
#<alt x>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (* -1 y)>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (/ x (- 2 x))>
#<alt (+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))>
#<alt (+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))>
#<alt (+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))>
#<alt 1>
#<alt (- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y)))>
#<alt (- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y)))>
#<alt (- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (- (* 2 x) 2) y)))>
#<alt (+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y)))>
#<alt (+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y)))>
#<alt (* -1 (/ y (- 2 y)))>
#<alt (+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))))>
#<alt (+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2)))))>
#<alt (+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2)))))>
#<alt -1>
#<alt (- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))>
#<alt (- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x))))>
#<alt (- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x)))))>
#<alt -1>
#<alt (- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))>
#<alt (- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1)>
#<alt (- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* 1/4 x)))>
#<alt (* x (+ 1/2 (* 1/4 x)))>
#<alt (* x (+ 1/2 (* 1/4 x)))>
#<alt (* 1/4 (pow x 2))>
#<alt (* (pow x 2) (+ 1/4 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/4 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/4 (* 1/2 (/ 1 x))))>
#<alt (* 1/4 (pow x 2))>
#<alt (* (pow x 2) (+ 1/4 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/4 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/4 (* 1/2 (/ 1 x))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 x))>
#<alt (+ 1/2 (* 1/4 x))>
#<alt (+ 1/2 (* 1/4 x))>
#<alt (* 1/4 x)>
#<alt (* x (+ 1/4 (* 1/2 (/ 1 x))))>
#<alt (* x (+ 1/4 (* 1/2 (/ 1 x))))>
#<alt (* x (+ 1/4 (* 1/2 (/ 1 x))))>
#<alt (* 1/4 x)>
#<alt (* x (+ 1/4 (* 1/2 (/ 1 x))))>
#<alt (* x (+ 1/4 (* 1/2 (/ 1 x))))>
#<alt (* x (+ 1/4 (* 1/2 (/ 1 x))))>
#<alt (* -1/2 y)>
#<alt (+ (* -1/2 y) (* 1/2 x))>
#<alt (+ (* -1/2 y) (* 1/2 x))>
#<alt (+ (* -1/2 y) (* 1/2 x))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* -1/2 (/ y x))))>
#<alt (* x (+ 1/2 (* -1/2 (/ y x))))>
#<alt (* x (+ 1/2 (* -1/2 (/ y x))))>
#<alt (* 1/2 x)>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 1/2)))>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 1/2)))>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 1/2)))>
#<alt (* 1/2 x)>
#<alt (+ (* -1/2 y) (* 1/2 x))>
#<alt (+ (* -1/2 y) (* 1/2 x))>
#<alt (+ (* -1/2 y) (* 1/2 x))>
#<alt (* -1/2 y)>
#<alt (* y (- (* 1/2 (/ x y)) 1/2))>
#<alt (* y (- (* 1/2 (/ x y)) 1/2))>
#<alt (* y (- (* 1/2 (/ x y)) 1/2))>
#<alt (* -1/2 y)>
#<alt (* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))>
#<alt (* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))>
#<alt (* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))>
#<alt (* -1 y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt x>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (* -1 y)>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ x y)))>
#<alt (+ 1 (* -1 (/ x y)))>
#<alt (+ 1 (* -1 (/ x y)))>
#<alt (* -1 (/ x y))>
#<alt (* x (- (/ 1 x) (/ 1 y)))>
#<alt (* x (- (/ 1 x) (/ 1 y)))>
#<alt (* x (- (/ 1 x) (/ 1 y)))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (* x (- (/ 1 y) (/ 1 x))))>
#<alt (* -1 (* x (- (/ 1 y) (/ 1 x))))>
#<alt (* -1 (* x (- (/ 1 y) (/ 1 x))))>
#<alt (* -1 (/ x y))>
#<alt (/ (+ y (* -1 x)) y)>
#<alt (/ (+ y (* -1 x)) y)>
#<alt (/ (+ y (* -1 x)) y)>
#<alt 1>
#<alt (+ 1 (* -1 (/ x y)))>
#<alt (+ 1 (* -1 (/ x y)))>
#<alt (+ 1 (* -1 (/ x y)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ x y)))>
#<alt (+ 1 (* -1 (/ x y)))>
#<alt (+ 1 (* -1 (/ 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)))>

Calls

51 calls:

Time	Variable		Point	Expression
4.0ms	y	@	inf	(/ (- x y) (neg y))
2.0ms	x	@	0	(* x (+ (* x 1/4) 1/2))
0.0ms	x	@	inf	(/ x y)
0.0ms	x	@	-inf	(* x (+ (* x 1/4) 1/2))
0.0ms	x	@	inf	(* x (+ (* x 1/4) 1/2))

rewrite132.0ms (2%)

Memory

5.6MiB live, 119.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

614×	`lower-/.f32`
606×	`lower-/.f64`
548×	`lower-*.f32`
546×	`lower-*.f64`
500×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	52
0	29	52
1	145	52
0	1117	52

Stop Event

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

Counts

10 → 188

Calls

Call 1

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

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

simplify436.0ms (6.7%)

Memory

15.3MiB live, 608.4MiB allocated

Algorithm

1×	egg-herbie

Rules

11 868×	`lower-fma.f64`
11 868×	`lower-fma.f32`
4 882×	`lower-*.f64`
4 882×	`lower-*.f32`
2 450×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	204	1342
1	613	1291
2	1853	1229
3	7429	1223
0	8311	1151

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 192

Calls

Call 1

Inputs
x
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* -1 y))
(* -1 y)
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 y)
(- x y)
(- x y)
(- x y)
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
x
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
(/ x (- 2 x))
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
1
(- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y)))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y)))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y))))
1
(+ 1 (* -1 (/ (- (* 2 x) 2) y)))
(+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y)))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y)))
(* -1 (/ y (- 2 y)))
(+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))))
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2)))))
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2)))))
-1
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
(- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x)))))
-1
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1)
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* 1/2 x)
(* x (+ 1/2 (* 1/4 x)))
(* x (+ 1/2 (* 1/4 x)))
(* x (+ 1/2 (* 1/4 x)))
(* 1/4 (pow x 2))
(* (pow x 2) (+ 1/4 (* 1/2 (/ 1 x))))
(* (pow x 2) (+ 1/4 (* 1/2 (/ 1 x))))
(* (pow x 2) (+ 1/4 (* 1/2 (/ 1 x))))
(* 1/4 (pow x 2))
(* (pow x 2) (+ 1/4 (* 1/2 (/ 1 x))))
(* (pow x 2) (+ 1/4 (* 1/2 (/ 1 x))))
(* (pow x 2) (+ 1/4 (* 1/2 (/ 1 x))))
1/2
(+ 1/2 (* 1/4 x))
(+ 1/2 (* 1/4 x))
(+ 1/2 (* 1/4 x))
(* 1/4 x)
(* x (+ 1/4 (* 1/2 (/ 1 x))))
(* x (+ 1/4 (* 1/2 (/ 1 x))))
(* x (+ 1/4 (* 1/2 (/ 1 x))))
(* 1/4 x)
(* x (+ 1/4 (* 1/2 (/ 1 x))))
(* x (+ 1/4 (* 1/2 (/ 1 x))))
(* x (+ 1/4 (* 1/2 (/ 1 x))))
(* -1/2 y)
(+ (* -1/2 y) (* 1/2 x))
(+ (* -1/2 y) (* 1/2 x))
(+ (* -1/2 y) (* 1/2 x))
(* 1/2 x)
(* x (+ 1/2 (* -1/2 (/ y x))))
(* x (+ 1/2 (* -1/2 (/ y x))))
(* x (+ 1/2 (* -1/2 (/ y x))))
(* 1/2 x)
(* -1 (* x (- (* 1/2 (/ y x)) 1/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 1/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 1/2)))
(* 1/2 x)
(+ (* -1/2 y) (* 1/2 x))
(+ (* -1/2 y) (* 1/2 x))
(+ (* -1/2 y) (* 1/2 x))
(* -1/2 y)
(* y (- (* 1/2 (/ x y)) 1/2))
(* y (- (* 1/2 (/ x y)) 1/2))
(* y (- (* 1/2 (/ x y)) 1/2))
(* -1/2 y)
(* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))
(* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))
(* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))
(* -1 y)
(- x y)
(- x y)
(- x y)
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
x
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
x
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* -1 y))
(* -1 y)
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
1
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ x y)))
(* -1 (/ x y))
(* x (- (/ 1 x) (/ 1 y)))
(* x (- (/ 1 x) (/ 1 y)))
(* x (- (/ 1 x) (/ 1 y)))
(* -1 (/ x y))
(* -1 (* x (- (/ 1 y) (/ 1 x))))
(* -1 (* x (- (/ 1 y) (/ 1 x))))
(* -1 (* x (- (/ 1 y) (/ 1 x))))
(* -1 (/ x y))
(/ (+ y (* -1 x)) y)
(/ (+ y (* -1 x)) y)
(/ (+ y (* -1 x)) y)
1
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ x y)))
1
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ 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)))

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

eval115.0ms (1.8%)

Memory: -12.8MiB live, 114.6MiB allocated
Compiler: Compiled 5 907 to 679 computations (88.5% saved)

prune36.0ms (0.6%)

Memory

33.4MiB live, 111.5MiB allocated

Pruning

14 alts after pruning (7 fresh and 7 done)

	Pruned	Kept	Total
New	436	4	440
Fresh	2	3	5
Picked	2	3	5
Done	0	4	4
Total	440	14	454

Accuracy

100.0%

Counts

454 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) x (/.f64 y (+.f64 (+.f64 x y) #s(literal -2 binary64))))
✓	92.3%	(/.f64 (fma.f64 y (/.f64 x y) (neg.f64 y)) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
	36.7%	(/.f64 (-.f64 y x) x)
✓	100.0%	(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
▶	51.6%	(/.f64 y (+.f64 y #s(literal -2 binary64)))
✓	50.9%	(/.f64 x (-.f64 #s(literal 2 binary64) x))
	39.6%	(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) y))
▶	39.7%	(-.f64 #s(literal 1 binary64) (/.f64 x y))
▶	27.8%	(*.f64 (-.f64 x y) #s(literal 1/2 binary64))
▶	14.7%	(*.f64 y #s(literal -1/2 binary64))
✓	16.7%	(*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
▶	17.1%	(*.f64 x #s(literal 1/2 binary64))
✓	39.3%	#s(literal 1 binary64)
✓	36.3%	#s(literal -1 binary64)

Compiler

Compiled 161 to 114 computations (29.2% saved)

simplify50.0ms (0.8%)

Memory

-22.8MiB live, 63.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Rules

416×	`lower-fma.f64`
416×	`lower-fma.f32`
272×	`lower-*.f32`
266×	`lower-*.f64`
128×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	42
0	22	42
1	32	42
2	46	42
3	69	42
4	99	42
5	139	42
6	196	42
7	340	42
8	488	42
9	578	42
10	624	42
11	719	42
12	775	42
13	867	42
14	895	42
15	909	42
0	909	42

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize60.0ms (0.9%)

Memory

0.5MiB live, 73.2MiB allocated

Localize:

Found 8 expressions of interest:

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

Samples

28.0ms

256×

valid

Compiler

Compiled 44 to 16 computations (63.6% saved)

Precisions

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

ival-div: 4.0ms (31.5% of total)

ival-mult: 4.0ms (31.5% of total)

ival-sub: 2.0ms (15.8% of total)

ival-add: 2.0ms (15.8% of total)

exact: 1.0ms (7.9% of total)

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

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

series4.0ms (0.1%)

Memory

8.6MiB live, 8.6MiB allocated

Counts

8 → 144

Calls

Call 1

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

Outputs
#<alt (* -1/2 y)>
#<alt (* y (- (* -1/4 y) 1/2))>
#<alt (* y (- (* y (- (* -1/8 y) 1/4)) 1/2))>
#<alt (* y (- (* y (- (* y (- (* -1/16 y) 1/8)) 1/4)) 1/2))>
#<alt 1>
#<alt (+ 1 (* 2 (/ 1 y)))>
#<alt (+ 1 (+ (* 2 (/ 1 y)) (/ 4 (pow y 2))))>
#<alt (+ 1 (+ (* 2 (/ 1 y)) (+ (* 8 (/ 1 (pow y 3))) (/ 4 (pow y 2)))))>
#<alt 1>
#<alt (+ 1 (* 2 (/ 1 y)))>
#<alt (+ 1 (+ (* 2 (/ 1 y)) (/ 4 (pow y 2))))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 8 (/ 1 y))) y)) 2) y)))>
#<alt -2>
#<alt (- y 2)>
#<alt (- y 2)>
#<alt (- y 2)>
#<alt y>
#<alt (* y (- 1 (* 2 (/ 1 y))))>
#<alt (* y (- 1 (* 2 (/ 1 y))))>
#<alt (* y (- 1 (* 2 (/ 1 y))))>
#<alt y>
#<alt (* -1 (* y (- (* 2 (/ 1 y)) 1)))>
#<alt (* -1 (* y (- (* 2 (/ 1 y)) 1)))>
#<alt (* -1 (* y (- (* 2 (/ 1 y)) 1)))>
#<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 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (+ (* -1/2 y) (* 1/2 x))>
#<alt (+ (* -1/2 y) (* 1/2 x))>
#<alt (+ (* -1/2 y) (* 1/2 x))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* -1/2 (/ y x))))>
#<alt (* x (+ 1/2 (* -1/2 (/ y x))))>
#<alt (* x (+ 1/2 (* -1/2 (/ y x))))>
#<alt (* 1/2 x)>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 1/2)))>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 1/2)))>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 1/2)))>
#<alt (* 1/2 x)>
#<alt (+ (* -1/2 y) (* 1/2 x))>
#<alt (+ (* -1/2 y) (* 1/2 x))>
#<alt (+ (* -1/2 y) (* 1/2 x))>
#<alt (* -1/2 y)>
#<alt (* y (- (* 1/2 (/ x y)) 1/2))>
#<alt (* y (- (* 1/2 (/ x y)) 1/2))>
#<alt (* y (- (* 1/2 (/ x y)) 1/2))>
#<alt (* -1/2 y)>
#<alt (* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))>
#<alt (* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))>
#<alt (* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))>
#<alt (* -1 y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt x>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (* -1 y)>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ x y)))>
#<alt (+ 1 (* -1 (/ x y)))>
#<alt (+ 1 (* -1 (/ x y)))>
#<alt (* -1 (/ x y))>
#<alt (* x (- (/ 1 x) (/ 1 y)))>
#<alt (* x (- (/ 1 x) (/ 1 y)))>
#<alt (* x (- (/ 1 x) (/ 1 y)))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (* x (- (/ 1 y) (/ 1 x))))>
#<alt (* -1 (* x (- (/ 1 y) (/ 1 x))))>
#<alt (* -1 (* x (- (/ 1 y) (/ 1 x))))>
#<alt (* -1 (/ x y))>
#<alt (/ (- y x) y)>
#<alt (/ (- y x) y)>
#<alt (/ (- y x) y)>
#<alt 1>
#<alt (+ 1 (* -1 (/ x y)))>
#<alt (+ 1 (* -1 (/ x y)))>
#<alt (+ 1 (* -1 (/ x y)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ x y)))>
#<alt (+ 1 (* -1 (/ x y)))>
#<alt (+ 1 (* -1 (/ 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)>

Calls

36 calls:

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

rewrite589.0ms (9%)

Memory

7.6MiB live, 452.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 220×	`lower-*.f32`
3 218×	`lower-fma.f64`
3 218×	`lower-fma.f32`
3 214×	`lower-*.f64`
3 056×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	30
0	22	30
1	81	30
2	523	30
3	7648	30
0	8614	30

Stop Event

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

Counts

8 → 347

Calls

Call 1

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

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

simplify514.0ms (7.9%)

Memory

-3.5MiB live, 386.0MiB allocated

Algorithm

1×	egg-herbie

Rules

7 900×	`lower-fma.f64`
7 900×	`lower-fma.f32`
3 362×	`lower-*.f64`
3 362×	`lower-*.f32`
1 684×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	100	606
1	255	587
2	628	586
3	1677	550
4	3882	550
5	7449	550
0	8024	544

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 139

Calls

Call 1

Inputs
(* -1/2 y)
(* y (- (* -1/4 y) 1/2))
(* y (- (* y (- (* -1/8 y) 1/4)) 1/2))
(* y (- (* y (- (* y (- (* -1/16 y) 1/8)) 1/4)) 1/2))
1
(+ 1 (* 2 (/ 1 y)))
(+ 1 (+ (* 2 (/ 1 y)) (/ 4 (pow y 2))))
(+ 1 (+ (* 2 (/ 1 y)) (+ (* 8 (/ 1 (pow y 3))) (/ 4 (pow y 2)))))
1
(+ 1 (* 2 (/ 1 y)))
(+ 1 (+ (* 2 (/ 1 y)) (/ 4 (pow y 2))))
(+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 8 (/ 1 y))) y)) 2) y)))
-2
(- y 2)
(- y 2)
(- y 2)
y
(* y (- 1 (* 2 (/ 1 y))))
(* y (- 1 (* 2 (/ 1 y))))
(* y (- 1 (* 2 (/ 1 y))))
y
(* -1 (* y (- (* 2 (/ 1 y)) 1)))
(* -1 (* y (- (* 2 (/ 1 y)) 1)))
(* -1 (* y (- (* 2 (/ 1 y)) 1)))
(* 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 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(+ (* -1/2 y) (* 1/2 x))
(+ (* -1/2 y) (* 1/2 x))
(+ (* -1/2 y) (* 1/2 x))
(* 1/2 x)
(* x (+ 1/2 (* -1/2 (/ y x))))
(* x (+ 1/2 (* -1/2 (/ y x))))
(* x (+ 1/2 (* -1/2 (/ y x))))
(* 1/2 x)
(* -1 (* x (- (* 1/2 (/ y x)) 1/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 1/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 1/2)))
(* 1/2 x)
(+ (* -1/2 y) (* 1/2 x))
(+ (* -1/2 y) (* 1/2 x))
(+ (* -1/2 y) (* 1/2 x))
(* -1/2 y)
(* y (- (* 1/2 (/ x y)) 1/2))
(* y (- (* 1/2 (/ x y)) 1/2))
(* y (- (* 1/2 (/ x y)) 1/2))
(* -1/2 y)
(* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))
(* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))
(* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))
(* -1 y)
(- x y)
(- x y)
(- x y)
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
x
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
x
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* -1 y))
(* -1 y)
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
1
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ x y)))
(* -1 (/ x y))
(* x (- (/ 1 x) (/ 1 y)))
(* x (- (/ 1 x) (/ 1 y)))
(* x (- (/ 1 x) (/ 1 y)))
(* -1 (/ x y))
(* -1 (* x (- (/ 1 y) (/ 1 x))))
(* -1 (* x (- (/ 1 y) (/ 1 x))))
(* -1 (* x (- (/ 1 y) (/ 1 x))))
(* -1 (/ x y))
(/ (- y x) y)
(/ (- y x) y)
(/ (- y x) y)
1
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ x y)))
1
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ 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)

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

eval95.0ms (1.5%)

Memory: 7.2MiB live, 120.3MiB allocated
Compiler: Compiled 8 277 to 995 computations (88% saved)

prune117.0ms (1.8%)

Memory

-26.4MiB live, 154.2MiB allocated

Pruning

15 alts after pruning (3 fresh and 12 done)

	Pruned	Kept	Total
New	485	1	486
Fresh	0	2	2
Picked	0	5	5
Done	0	7	7
Total	485	15	500

Accuracy

100.0%

Counts

500 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) x (/.f64 y (+.f64 (+.f64 x y) #s(literal -2 binary64))))
✓	92.3%	(/.f64 (fma.f64 y (/.f64 x y) (neg.f64 y)) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
	36.7%	(/.f64 (-.f64 y x) x)
✓	100.0%	(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
✓	51.6%	(/.f64 y (+.f64 y #s(literal -2 binary64)))
✓	50.9%	(/.f64 x (-.f64 #s(literal 2 binary64) x))
	39.6%	(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) y))
✓	39.7%	(-.f64 #s(literal 1 binary64) (/.f64 x y))
✓	27.8%	(*.f64 (-.f64 x y) #s(literal 1/2 binary64))
	14.2%	(*.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64)))
✓	14.7%	(*.f64 y #s(literal -1/2 binary64))
✓	16.7%	(*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
✓	17.1%	(*.f64 x #s(literal 1/2 binary64))
✓	39.3%	#s(literal 1 binary64)
✓	36.3%	#s(literal -1 binary64)

Compiler

Compiled 262 to 139 computations (46.9% saved)

regimes22.0ms (0.3%)

Memory

3.4MiB live, 45.8MiB allocated

Counts

22 → 1

Calls

Call 1

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

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

Calls

3 calls:

8.0ms	y
7.0ms	x
6.0ms	(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))

Results

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

Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes18.0ms (0.3%)

Memory

-1.8MiB live, 37.3MiB allocated

Counts

19 → 2

Calls

Call 1

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

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

Calls

3 calls:

7.0ms	y
6.0ms	x
5.0ms	(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))

Results

Accuracy	Segments	Branch
89.0%	3	`x`
79.1%	3	`y`
98.9%	2	`(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))`

Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes5.0ms (0.1%)

Memory

10.8MiB live, 10.8MiB allocated

Counts

15 → 3

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

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

Results

Accuracy	Segments	Branch
98.7%	3	`(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes4.0ms (0.1%)

Memory

8.0MiB live, 8.0MiB allocated

Counts

9 → 3

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

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

Results

Accuracy	Segments	Branch
98.3%	3	`(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes4.0ms (0.1%)

Memory

-31.9MiB live, 7.4MiB allocated

Counts

8 → 3

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

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

Results

Accuracy	Segments	Branch
97.9%	3	`(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes3.0ms (0%)

Memory

6.7MiB live, 6.7MiB allocated

Counts

7 → 3

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

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

Results

Accuracy	Segments	Branch
97.9%	3	`(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes4.0ms (0.1%)

Memory

9.5MiB live, 9.5MiB allocated

Counts

4 → 3

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
63.4%	3	`x`
86.8%	3	`(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))`

Compiler

Compiled 14 to 9 computations (35.7% saved)

regimes3.0ms (0%)

Memory

7.5MiB live, 7.5MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)

Outputs
#s(literal -1 binary64)
#s(literal 1 binary64)

Calls

2 calls:

2.0ms	y
1.0ms	(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))

Results

Accuracy	Segments	Branch
64.8%	3	`y`
74.0%	2	`(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))`

Compiler

Compiled 14 to 9 computations (35.7% saved)

regimes4.0ms (0.1%)

Memory

9.8MiB live, 9.8MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal -1 binary64)

Outputs
#s(literal -1 binary64)

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
36.3%	1	`x`
36.3%	1	`y`
36.3%	1	`(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))`

Compiler

Compiled 17 to 11 computations (35.3% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999936421163067	-1.6917844825770236e-8

Compiler

Compiled 14 to 12 computations (14.3% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.5804810763199573e-10	0.5546913977563586
0.0ms	-4.833769233348416e-16	-7.350470229007187e-20

Compiler

Compiled 14 to 12 computations (14.3% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.5804810763199573e-10	0.5546913977563586
0.0ms	-4.833769233348416e-16	-7.350470229007187e-20

Compiler

Compiled 14 to 12 computations (14.3% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.5804810763199573e-10	0.5546913977563586
0.0ms	-0.9999936421163067	-1.6917844825770236e-8

Compiler

Compiled 14 to 12 computations (14.3% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.5804810763199573e-10	0.5546913977563586
0.0ms	-0.9999936421163067	-1.6917844825770236e-8

Compiler

Compiled 14 to 12 computations (14.3% saved)

bsearch1.0ms (0%)

Memory

-38.7MiB live, 0.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.5804810763199573e-10	0.5546913977563586
1.0ms	-1.6917844825770236e-8	-8.11680093803516e-10

Compiler

Compiled 14 to 12 computations (14.3% saved)

bsearch11.0ms (0.2%)

Memory

22.7MiB live, 22.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	-7.049489050124826e-246	6.286975023885112e-260

Samples

4.0ms

208×

valid

Compiler

Compiled 118 to 116 computations (1.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

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

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

simplify11.0ms (0.2%)

Memory

-18.3MiB live, 22.3MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	221
1	58	221
2	75	221
3	85	221
4	89	221

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -1/2 binary64)) (/.f64 x (-.f64 #s(literal 2 binary64) x)) (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) y)))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -2028240960365167/5070602400912917605986812821504 binary64)) (/.f64 x (-.f64 #s(literal 2 binary64) x)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 7737125245533627/38685626227668133590597632 binary64)) (*.f64 (-.f64 x y) #s(literal 1/2 binary64)) (/.f64 y (+.f64 y #s(literal -2 binary64)))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -2028240960365167/5070602400912917605986812821504 binary64)) (/.f64 x (-.f64 #s(literal 2 binary64) x)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 7737125245533627/38685626227668133590597632 binary64)) (*.f64 (-.f64 x y) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x y))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -1/2 binary64)) #s(literal -1 binary64) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 7737125245533627/38685626227668133590597632 binary64)) (*.f64 (-.f64 x y) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x y))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -1/2 binary64)) #s(literal -1 binary64) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 7737125245533627/38685626227668133590597632 binary64)) (*.f64 (-.f64 x y) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -3022314549036573/302231454903657293676544 binary64)) #s(literal -1 binary64) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 7737125245533627/38685626227668133590597632 binary64)) (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(literal -1 binary64) #s(literal 1 binary64))
#s(literal -1 binary64)

Outputs
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -1/2 binary64)) (/.f64 x (-.f64 #s(literal 2 binary64) x)) (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) y)))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -2028240960365167/5070602400912917605986812821504 binary64)) (/.f64 x (-.f64 #s(literal 2 binary64) x)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 7737125245533627/38685626227668133590597632 binary64)) (*.f64 (-.f64 x y) #s(literal 1/2 binary64)) (/.f64 y (+.f64 y #s(literal -2 binary64)))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -2028240960365167/5070602400912917605986812821504 binary64)) (/.f64 x (-.f64 #s(literal 2 binary64) x)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 7737125245533627/38685626227668133590597632 binary64)) (*.f64 (-.f64 x y) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x y))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -1/2 binary64)) #s(literal -1 binary64) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 7737125245533627/38685626227668133590597632 binary64)) (*.f64 (-.f64 x y) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x y))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -1/2 binary64)) #s(literal -1 binary64) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 7737125245533627/38685626227668133590597632 binary64)) (*.f64 (-.f64 x y) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -3022314549036573/302231454903657293676544 binary64)) #s(literal -1 binary64) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 7737125245533627/38685626227668133590597632 binary64)) (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(literal -1 binary64) #s(literal 1 binary64))
#s(literal -1 binary64)

soundness771.0ms (11.8%)

Memory

14.2MiB live, 680.0MiB allocated

Rules

12 038×	`lower-fma.f64`
12 038×	`lower-fma.f32`
11 868×	`lower-fma.f64`
11 868×	`lower-fma.f32`
7 674×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	204	1342
1	613	1291
2	1853	1229
3	7429	1223
0	8311	1151
0	548	2615
1	1732	2386
2	5215	2315
0	8266	2232
0	186	985
1	571	921
2	1809	857
3	7607	851
0	8573	806
0	16	52
0	29	52
1	145	52
0	1117	52

Stop Event

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

Compiler

Compiled 418 to 185 computations (55.7% saved)

preprocess58.0ms (0.9%)

Memory: 29.3MiB live, 148.7MiB allocated
Compiler: Compiled 502 to 114 computations (77.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	7	23
0	11	23
1	21	23
2	38	23
3	79	23
4	186	23
5	346	23
6	616	23
7	904	23
8	948	23
9	964	23
10	965	23
0	965	23

Iter	Nodes	Cost
0	14	42
0	22	42
1	32	42
2	46	42
3	69	42
4	99	42
5	139	42
6	196	42
7	340	42
8	488	42
9	578	42
10	624	42
11	719	42
12	775	42
13	867	42
14	895	42
15	909	42
0	909	42

Iter	Nodes	Cost
0	7	23
0	11	23
1	21	23
2	38	23
3	79	23
4	186	23
5	346	23
6	616	23
7	904	23
8	948	23
9	964	23
10	965	23
0	965	23

Iter	Nodes	Cost
0	14	42
0	22	42
1	32	42
2	46	42
3	69	42
4	99	42
5	139	42
6	196	42
7	340	42
8	488	42
9	578	42
10	624	42
11	719	42
12	775	42
13	867	42
14	895	42
15	909	42
0	909	42

analyze18.0ms (0.3%)

sample678.0ms (10.4%)

preprocess88.0ms (1.3%)

explain83.0ms (1.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify35.0ms (0.5%)

localize22.0ms (0.3%)

series12.0ms (0.2%)

rewrite334.0ms (5.1%)

simplify432.0ms (6.6%)

eval86.0ms (1.3%)

prune91.0ms (1.4%)

simplify83.0ms (1.3%)

localize66.0ms (1%)

series33.0ms (0.5%)

rewrite336.0ms (5.2%)

simplify410.0ms (6.3%)

eval128.0ms (2%)

prune123.0ms (1.9%)

simplify306.0ms (4.7%)

localize68.0ms (1%)

series15.0ms (0.2%)

rewrite132.0ms (2%)

simplify436.0ms (6.7%)

eval115.0ms (1.8%)

prune36.0ms (0.6%)

simplify50.0ms (0.8%)

localize60.0ms (0.9%)

series4.0ms (0.1%)

rewrite589.0ms (9%)

simplify514.0ms (7.9%)

eval95.0ms (1.5%)

prune117.0ms (1.8%)

regimes22.0ms (0.3%)

regimes18.0ms (0.3%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

regimes4.0ms (0.1%)

regimes3.0ms (0%)

regimes4.0ms (0.1%)

regimes3.0ms (0%)

regimes4.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

bsearch11.0ms (0.2%)

simplify11.0ms (0.2%)

soundness771.0ms (11.8%)

preprocess58.0ms (0.9%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	7	23
0	11	23
1	21	23
2	38	23
3	79	23
4	186	23
5	346	23
6	616	23
7	904	23
8	948	23
9	964	23
10	965	23
0	965	23

Iter	Nodes	Cost
0	14	42
0	22	42
1	32	42
2	46	42
3	69	42
4	99	42
5	139	42
6	196	42
7	340	42
8	488	42
9	578	42
10	624	42
11	719	42
12	775	42
13	867	42
14	895	42
15	909	42
0	909	42