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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze17.0ms (0.2%)

Memory

1.5MiB live, 40.8MiB 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)

sample783.0ms (7.2%)

Memory

28.5MiB live, 1 137.2MiB allocated

Samples

480.0ms	8 254×	0	valid
0.0ms	1×	2	valid
0.0ms	1×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 257.0ms

ival-sub: 121.0ms (47% of total)

ival-div: 64.0ms (24.9% of total)

ival-add: 59.0ms (22.9% of total)

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

exact: 5.0ms (1.9% of total)

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

adjust: 0.0ms (0% of total)

Bogosity

explain410.0ms (3.8%)

Memory

-17.2MiB live, 105.1MiB 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

254.0ms

512×

valid

Compiler

Compiled 61 to 25 computations (59% saved)

Precisions

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

ival-sub: 5.0ms (43.4% of total)

ival-div: 3.0ms (26% of total)

ival-add: 3.0ms (26% of total)

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

exact: 0.0ms (0% of total)

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

preprocess95.0ms (0.9%)

Memory

10.3MiB live, 48.5MiB 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)))

Compiler

Compiled 11 to 7 computations (36.4% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.4MiB live, 1.4MiB 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)

simplify233.0ms (2.1%)

Memory

-16.2MiB live, 23.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

localize239.0ms (2.2%)

Memory

-20.7MiB live, 35.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 x y)
accuracy	0	(-.f64 #s(literal 2 binary64) (+.f64 x y))
accuracy	0	(+.f64 x y)
accuracy	0.01953125	(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))

Samples

226.0ms

256×

valid

Compiler

Compiled 25 to 9 computations (64% saved)

Precisions

Click to see histograms. Total time spent on operations: 220.0ms

ival-sub: 217.0ms (98.7% of total)

ival-div: 2.0ms (0.9% of total)

ival-add: 1.0ms (0.5% of total)

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

exact: 0.0ms (0% of total)

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

series7.0ms (0.1%)

Memory

9.8MiB live, 9.8MiB allocated

Counts

4 → 96

Calls

Call 1

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

Outputs
#s(alt (* -1 (/ y (- 2 y))) (taylor 0 x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))))) (taylor 0 x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ())
#s(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))))) (taylor 0 x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ())
#s(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))))) (taylor 0 x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt -1 (taylor inf x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) (taylor inf x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) (taylor inf x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ())
#s(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))))) (taylor inf x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt -1 (taylor -inf x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) (taylor -inf x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1) (taylor -inf x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1) (taylor -inf x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (/ x (- 2 x)) (taylor 0 y) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) (taylor 0 y) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ())
#s(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))) (taylor 0 y) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ())
#s(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))) (taylor 0 y) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf y) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y))) (taylor inf y) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y))) (taylor inf y) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ())
#s(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)))) (taylor inf y) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf y) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- (* 2 x) 2) y))) (taylor -inf y) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y))) (taylor -inf y) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y))) (taylor -inf y) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (- x y) (taylor 0 x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (- x y) (taylor 0 x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (- x y) (taylor 0 x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ y x)))) (taylor inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ y x)))) (taylor inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ y x)))) (taylor inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ x y) 1)) (taylor inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ x y) 1)) (taylor inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ x y) 1)) (taylor inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor -inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1 (* -1 (/ x y))))) (taylor -inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1 (* -1 (/ x y))))) (taylor -inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1 (* -1 (/ x y))))) (taylor -inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (- 2 y) (taylor 0 x) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (- (+ 2 (* -1 x)) y) (taylor 0 x) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (- (+ 2 (* -1 x)) y) (taylor 0 x) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (- (+ 2 (* -1 x)) y) (taylor 0 x) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* 2 (/ 1 x)) (+ 1 (/ y x)))) (taylor inf x) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* 2 (/ 1 x)) (+ 1 (/ y x)))) (taylor inf x) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* 2 (/ 1 x)) (+ 1 (/ y x)))) (taylor inf x) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) (taylor -inf x) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) (taylor -inf x) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) (taylor -inf x) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (- 2 x) (taylor 0 y) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (- (+ 2 (* -1 y)) x) (taylor 0 y) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (- (+ 2 (* -1 y)) x) (taylor 0 y) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (- (+ 2 (* -1 y)) x) (taylor 0 y) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor inf y) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 2 (/ 1 y)) (+ 1 (/ x y)))) (taylor inf y) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 2 (/ 1 y)) (+ 1 (/ x y)))) (taylor inf y) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 2 (/ 1 y)) (+ 1 (/ x y)))) (taylor inf y) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor -inf y) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1 (* -1 (/ (- 2 x) y))))) (taylor -inf y) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1 (* -1 (/ (- 2 x) y))))) (taylor -inf y) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1 (* -1 (/ (- 2 x) y))))) (taylor -inf y) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt y (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt y (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1))) (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1))) (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1))) (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())

Calls

24 calls:

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

simplify650.0ms (6%)

Memory

-17.8MiB live, 619.2MiB 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)

rewrite514.0ms (4.7%)

Memory

60.1MiB live, 437.0MiB allocated

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

eval474.0ms (4.4%)

Memory: -19.3MiB live, 181.9MiB allocated
Compiler: Compiled 19 615 to 1 840 computations (90.6% saved)

prune162.0ms (1.5%)

Memory

-26.3MiB live, 163.1MiB allocated

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	683	11	694
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	683	12	695

Accuracy

100.0%

Counts

695 → 12

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)))
▶	62.4%	(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)))
	39.3%	(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 y)))
▶	39.1%	(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x)))
	60.1%	(.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (.f64 (+.f64 x y) (+.f64 x y)))) (+.f64 #s(literal 2 binary64) (+.f64 x y)))
▶	99.7%	(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y))
	60.1%	(.f64 (+.f64 x y) (/.f64 (-.f64 x y) (.f64 (+.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))))
	51.4%	#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 y #s(literal -2 binary64))))
▶	51.1%	#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x)))
	39.3%	#s(approx (/ (- x y) (- 2 (+ x y))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x x)) y)))
	39.2%	#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64))
▶	38.8%	#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64))

Compiler

Compiled 245 to 145 computations (40.8% saved)

simplify96.0ms (0.9%)

Memory

10.3MiB live, 52.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Rules

896×	`lower-fma.f64`
896×	`lower-fma.f32`
528×	`lower-*.f32`
526×	`lower-*.f64`
320×	`div-sub`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	128
0	36	128
1	60	126
2	98	126
3	200	126
4	416	126
5	720	126
6	1270	126
7	1890	126
8	2011	126
9	2049	126
10	2056	126
11	2058	126
0	2058	126

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize103.0ms (1%)

Memory

-1.3MiB live, 74.4MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 x y)
accuracy	0	(-.f64 #s(literal 2 binary64) y)
accuracy	0.01953125	(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)))
accuracy	24.046066647971553	#s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))
accuracy	0	(-.f64 x y)
accuracy	0	(neg.f64 x)
accuracy	0.01953125	(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x)))
accuracy	38.94876961085934	#s(approx (- 2 (+ x y)) (neg.f64 x))
accuracy	0	(-.f64 #s(literal 2 binary64) x)
accuracy	0.0078125	(/.f64 x (-.f64 #s(literal 2 binary64) x))
accuracy	31.27979555484947	#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x)))
accuracy	39.19073981807932	#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64))
accuracy	0	(-.f64 #s(literal 2 binary64) (+.f64 x y))
accuracy	0	(+.f64 x y)
accuracy	0.0234375	(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
accuracy	0.15625	(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y))

Samples

80.0ms

256×

valid

Compiler

Compiled 108 to 17 computations (84.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

ival-div: 30.0ms (75.6% of total)

ival-sub: 5.0ms (12.6% of total)

ival-add: 2.0ms (5% of total)

ival-mult: 2.0ms (5% of total)

ival-neg: 1.0ms (2.5% of total)

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

exact: 0.0ms (0% of total)

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

series26.0ms (0.2%)

Memory

-17.6MiB live, 18.1MiB allocated

Counts

15 → 312

Calls

Call 1

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

Outputs
#s(alt (* -1 (/ y (- 2 y))) (taylor 0 x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y)) (patch (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))))) (taylor 0 x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y)) (patch (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(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))))) (taylor 0 x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y)) (patch (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(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))))) (taylor 0 x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y)) (patch (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt -1 (taylor inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y)) (patch (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) (taylor inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y)) (patch (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) (taylor inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y)) (patch (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(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))))) (taylor inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y)) (patch (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt -1 (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y)) (patch (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y)) (patch (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y)) (patch (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y)) (patch (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ x (- 2 x)) (taylor 0 y) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y)) (patch (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) (taylor 0 y) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y)) (patch (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(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))) (taylor 0 y) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y)) (patch (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(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))) (taylor 0 y) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y)) (patch (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf y) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y)) (patch (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y))) (taylor inf y) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y)) (patch (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y)) #<representation binary64>) () ())) ())
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#s(alt (+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y))) (taylor -inf y) (#s(alt (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) (patch (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y))) (taylor -inf y) (#s(alt (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) (patch (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (- 2 y) (taylor 0 x) (#s(alt #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) (patch #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (- (+ 2 (* -1 x)) y) (taylor 0 x) (#s(alt #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) (patch #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (- (+ 2 (* -1 x)) y) (taylor 0 x) (#s(alt #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) (patch #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (- (+ 2 (* -1 x)) y) (taylor 0 x) (#s(alt #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) (patch #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) (patch #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* 2 (/ 1 x)) (+ 1 (/ y x)))) (taylor inf x) (#s(alt #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) (patch #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* 2 (/ 1 x)) (+ 1 (/ y x)))) (taylor inf x) (#s(alt #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) (patch #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* 2 (/ 1 x)) (+ 1 (/ y x)))) (taylor inf x) (#s(alt #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) (patch #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) (patch #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) (taylor -inf x) (#s(alt #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) (patch #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) (taylor -inf x) (#s(alt #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) (patch #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) (taylor -inf x) (#s(alt #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) (patch #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (- 2 x) (taylor 0 y) (#s(alt #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) (patch #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (- (+ 2 (* -1 y)) x) (taylor 0 y) (#s(alt #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) (patch #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (- (+ 2 (* -1 y)) x) (taylor 0 y) (#s(alt #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) (patch #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (- (+ 2 (* -1 y)) x) (taylor 0 y) (#s(alt #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) (patch #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor inf y) (#s(alt #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) (patch #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 2 (/ 1 y)) (+ 1 (/ x y)))) (taylor inf y) (#s(alt #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) (patch #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 2 (/ 1 y)) (+ 1 (/ x y)))) (taylor inf y) (#s(alt #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) (patch #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 2 (/ 1 y)) (+ 1 (/ x y)))) (taylor inf y) (#s(alt #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) (patch #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor -inf y) (#s(alt #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) (patch #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1 (* -1 (/ (- 2 x) y))))) (taylor -inf y) (#s(alt #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) (patch #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1 (* -1 (/ (- 2 x) y))))) (taylor -inf y) (#s(alt #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) (patch #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1 (* -1 (/ (- 2 x) y))))) (taylor -inf y) (#s(alt #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) (patch #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)) #<representation binary64>) () ())) ())
#s(alt 2 (taylor 0 y) (#s(alt (-.f64 #s(literal 2 binary64) y) (patch (-.f64 #s(literal 2 binary64) y) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* -1 y)) (taylor 0 y) (#s(alt (-.f64 #s(literal 2 binary64) y) (patch (-.f64 #s(literal 2 binary64) y) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* -1 y)) (taylor 0 y) (#s(alt (-.f64 #s(literal 2 binary64) y) (patch (-.f64 #s(literal 2 binary64) y) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* -1 y)) (taylor 0 y) (#s(alt (-.f64 #s(literal 2 binary64) y) (patch (-.f64 #s(literal 2 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor inf y) (#s(alt (-.f64 #s(literal 2 binary64) y) (patch (-.f64 #s(literal 2 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 2 (/ 1 y)) 1)) (taylor inf y) (#s(alt (-.f64 #s(literal 2 binary64) y) (patch (-.f64 #s(literal 2 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 2 (/ 1 y)) 1)) (taylor inf y) (#s(alt (-.f64 #s(literal 2 binary64) y) (patch (-.f64 #s(literal 2 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 2 (/ 1 y)) 1)) (taylor inf y) (#s(alt (-.f64 #s(literal 2 binary64) y) (patch (-.f64 #s(literal 2 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor -inf y) (#s(alt (-.f64 #s(literal 2 binary64) y) (patch (-.f64 #s(literal 2 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- 1 (* 2 (/ 1 y))))) (taylor -inf y) (#s(alt (-.f64 #s(literal 2 binary64) y) (patch (-.f64 #s(literal 2 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- 1 (* 2 (/ 1 y))))) (taylor -inf y) (#s(alt (-.f64 #s(literal 2 binary64) y) (patch (-.f64 #s(literal 2 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- 1 (* 2 (/ 1 y))))) (taylor -inf y) (#s(alt (-.f64 #s(literal 2 binary64) y) (patch (-.f64 #s(literal 2 binary64) y) #<representation binary64>) () ())) ())

Calls

78 calls:

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

simplify554.0ms (5.1%)

Memory

31.0MiB live, 465.4MiB allocated

Algorithm

1×	egg-herbie

Rules

9 584×	`lower-fma.f64`
9 584×	`lower-fma.f32`
5 568×	`lower-*.f64`
5 568×	`lower-*.f32`
4 218×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	347	4340
1	1077	4037
2	3221	3919
0	8516	3694

Stop Event

1×	iter limit
1×	node limit

Counts

312 → 303

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 (- 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 (/ 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 (- 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)))
(* 1/2 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)))))
(* -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)))))
(* -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 (- (/ 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)))
(- 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)))))
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)))))

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

rewrite397.0ms (3.7%)

Memory

12.8MiB live, 519.0MiB allocated

Rules

4 414×	`lower-/.f32`
4 406×	`lower-/.f64`
3 982×	`lower-*.f32`
3 980×	`lower-*.f64`
3 868×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	110
0	36	108
1	136	108
2	1024	108
0	8398	108

Stop Event

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

Counts

15 → 846

Calls

Call 1

Inputs
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
(-.f64 #s(literal 2 binary64) (+.f64 x y))
(+.f64 x y)
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64))
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x)))
(/.f64 x (-.f64 #s(literal 2 binary64) x))
(-.f64 #s(literal 2 binary64) x)
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x)))
(-.f64 x y)
#s(approx (- 2 (+ x y)) (neg.f64 x))
(neg.f64 x)
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)))
#s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))
(-.f64 #s(literal 2 binary64) 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 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))) x) (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) y)))
(+.f64 (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) y)) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) x))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) x)) (.f64 #s(literal 1 binary64) (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) 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))))) (+.f64 #s(literal 4 binary64) (.f64 (+.f64 x y) (+.f64 x y)))) (.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 #s(literal 2 binary64) y)) (.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (.f64 (+.f64 x y) (+.f64 x y)))) x))
(+.f64 (.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (.f64 (+.f64 x y) (+.f64 x y)))) (+.f64 #s(literal 2 binary64) x)) (.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (.f64 (+.f64 x y) (+.f64 x y)))) y))
(+.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 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) x) #s(literal 1 binary64)) (.f64 (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) y)) #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 (+.f64 #s(literal 4 binary64) (.f64 (+.f64 x y) (+.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 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 #s(literal 2 binary64) y) (/.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))))))
(+.f64 (.f64 (+.f64 #s(literal 2 binary64) x) (/.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))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 x y))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 x y) (+.f64 (+.f64 x y) #s(literal -2 binary64))))
(-.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 x y))))
(-.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 y (+.f64 x y) (.f64 x x))) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 (/.f64 (.f64 y (.f64 y y)) (fma.f64 y (+.f64 x y) (.f64 x x))) (-.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 y (+.f64 x y) (.f64 x x)))) (/.f64 (.f64 y (.f64 y y)) (.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (fma.f64 y (+.f64 x y) (.f64 x x)))))
(-.f64 (/.f64 (.f64 x x) (.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (+.f64 x y))) (/.f64 (.f64 y y) (.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (+.f64 x y))))
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(-.f64 (/.f64 (.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))))) (fma.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (fma.f64 (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 x y))) (.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 x y))))))) (/.f64 (.f64 (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 x y))) (.f64 (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 x y))))) (fma.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (fma.f64 (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 x y))) (.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 x y))))))))
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eval326.0ms (3%)

Memory: 1.5MiB live, 475.8MiB allocated
Compiler: Compiled 31 710 to 2 822 computations (91.1% saved)

prune304.0ms (2.8%)

Memory

-29.4MiB live, 377.5MiB allocated

Pruning

14 alts after pruning (9 fresh and 5 done)

	Pruned	Kept	Total
New	1 322	5	1 327
Fresh	2	4	6
Picked	1	4	5
Done	0	1	1
Total	1 325	14	1 339

Accuracy

100.0%

Counts

1 339 → 14

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)))
	39.3%	(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 y)))
✓	39.1%	(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x)))
▶	24.4%	(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64))))
▶	60.1%	(.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (.f64 (+.f64 x y) (+.f64 x y)))) (+.f64 #s(literal 2 binary64) (+.f64 x y)))
✓	99.7%	(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y))
	51.4%	#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 y #s(literal -2 binary64))))
✓	51.1%	#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x)))
	51.1%	#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))))
▶	39.3%	#s(approx (/ (- x y) (- 2 (+ x y))) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y)))
▶	13.9%	#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))
	14.2%	#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 x #s(literal 1/2 binary64))))
▶	39.2%	#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64))
✓	38.8%	#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64))

Compiler

Compiled 223 to 139 computations (37.7% saved)

simplify444.0ms (4.1%)

Memory

3.1MiB live, 652.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Rules

20 434×	`lower-fma.f32`
20 430×	`lower-fma.f64`
3 466×	`lower-+.f32`
3 462×	`lower-+.f64`
2 730×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	200
0	49	200
1	104	200
2	224	200
3	529	200
4	1482	200
5	3961	200
0	8186	198

Stop Event

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

Calls

Call 1

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

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

localize80.0ms (0.7%)

Memory

0.6MiB live, 117.1MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64))
accuracy	0	(/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y)
accuracy	0	(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y))
accuracy	38.85003822506321	#s(approx (/ (- x y) (- 2 (+ x y))) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y)))
accuracy	0	(-.f64 x y)
accuracy	0.01953125	(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64))))
accuracy	24.046066647971553	#s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))
accuracy	28.730276537809637	#s(approx (- 2 y) #s(literal 2 binary64))
accuracy	0	(fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64))
accuracy	0.0078125	(*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
accuracy	31.27979555484947	#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))
accuracy	32.25931897196507	#s(approx (/ x (- 2 x)) (*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
accuracy	38.90142602561308	#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64))
accuracy	0	(+.f64 #s(literal 2 binary64) (+.f64 x y))
accuracy	0.01171875	(*.f64 (+.f64 x y) (+.f64 x y))
accuracy	0.16796875	(.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (.f64 (+.f64 x y) (+.f64 x y)))) (+.f64 #s(literal 2 binary64) (+.f64 x y)))
accuracy	24.511080477831367	(/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y))))

Samples

42.0ms

256×

valid

Compiler

Compiled 162 to 29 computations (82.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-div: 8.0ms (28.8% of total)

ival-sub: 7.0ms (25.2% of total)

ival-mult: 7.0ms (25.2% of total)

ival-add: 5.0ms (18% of total)

exact: 1.0ms (3.6% of total)

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

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

series38.0ms (0.3%)

Memory

-0.3MiB live, 37.0MiB allocated

Counts

18 → 372

Calls

Call 1

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

Outputs
#s(alt (* -1 (/ y (- 4 (pow y 2)))) (taylor 0 x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (.f64 (+.f64 x y) (+.f64 x y)))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (.f64 (+.f64 x y) (+.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ y (- 4 (pow y 2)))) (* x (- (/ 1 (- 4 (pow y 2))) (* 2 (/ (pow y 2) (pow (- 4 (pow y 2)) 2)))))) (taylor 0 x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (.f64 (+.f64 x y) (+.f64 x y)))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (.f64 (+.f64 x y) (+.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ y (- 4 (pow y 2)))) (* x (- (+ (* -1 (* x (+ (* -2 (/ (* y (- (/ 1 (- 4 (pow y 2))) (* 2 (/ (pow y 2) (pow (- 4 (pow y 2)) 2))))) (- 4 (pow y 2)))) (/ y (pow (- 4 (pow y 2)) 2))))) (/ 1 (- 4 (pow y 2)))) (* 2 (/ (pow y 2) (pow (- 4 (pow y 2)) 2)))))) (taylor 0 x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (.f64 (+.f64 x y) (+.f64 x y)))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (.f64 (+.f64 x y) (+.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ y (- 4 (pow y 2)))) (* x (- (+ (* x (- (* -1 (* x (+ (* -1 (/ (- (/ 1 (- 4 (pow y 2))) (* 2 (/ (pow y 2) (pow (- 4 (pow y 2)) 2)))) (- 4 (pow y 2)))) (* 2 (/ (* y (+ (* -2 (/ (* y (- (/ 1 (- 4 (pow y 2))) (* 2 (/ (pow y 2) (pow (- 4 (pow y 2)) 2))))) (- 4 (pow y 2)))) (/ y (pow (- 4 (pow y 2)) 2)))) (- 4 (pow y 2))))))) (+ (* -2 (/ (* y (- (/ 1 (- 4 (pow y 2))) (* 2 (/ (pow y 2) (pow (- 4 (pow y 2)) 2))))) (- 4 (pow y 2)))) (/ y (pow (- 4 (pow y 2)) 2))))) (/ 1 (- 4 (pow y 2)))) (* 2 (/ (pow y 2) (pow (- 4 (pow y 2)) 2)))))) (taylor 0 x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (.f64 (+.f64 x y) (+.f64 x y)))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (.f64 (+.f64 x y) (+.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (/ -1 x) (taylor inf x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (.f64 (+.f64 x y) (+.f64 x y)))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (.f64 (+.f64 x y) (+.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (/ y x) (+ 1 (* -2 (/ y x)))) x) (taylor inf x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (.f64 (+.f64 x y) (+.f64 x y)))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (.f64 (+.f64 x y) (+.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (/ y x) (/ (pow y 2) (pow x 2))) (+ 1 (+ (* -2 (/ y x)) (+ (* 2 (/ (* y (- y (* -2 y))) (pow x 2))) (/ 4 (pow x 2)))))) x) (taylor inf x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (.f64 (+.f64 x y) (+.f64 x y)))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (.f64 (+.f64 x y) (+.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (* -1 (/ (+ (* -1 (* (- 4 (pow y 2)) (- y (* -2 y)))) (* 2 (* y (- (pow y 2) (+ 4 (* 2 (* y (- y (* -2 y))))))))) (pow x 3))) (+ (/ y x) (/ (pow y 2) (pow x 2)))) (+ 1 (+ (* -2 (/ y x)) (+ (* 2 (/ (* y (- y (* -2 y))) (pow x 2))) (/ 4 (pow x 2)))))) x) (taylor inf x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (.f64 (+.f64 x y) (+.f64 x y)))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (.f64 (+.f64 x y) (+.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (/ -1 x) (taylor -inf x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (.f64 (+.f64 x y) (+.f64 x y)))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (.f64 (+.f64 x y) (+.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (+ 1 (* -1 (/ y x))) (* 2 (/ y x))) x)) (taylor -inf x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (.f64 (+.f64 x y) (+.f64 x y)))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (.f64 (+.f64 x y) (+.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 1 (* -1 (/ (- (+ (* -1 (- (* -1 y) (* 2 y))) (/ (pow y 2) x)) (+ (* -2 (/ (* y (- (* -1 y) (* 2 y))) x)) (* 4 (/ 1 x)))) x))) x)) (taylor -inf x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (.f64 (+.f64 x y) (+.f64 x y)))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (.f64 (+.f64 x y) (+.f64 x y)))) #<representation binary64>) () ())) ())
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#s(alt (/ (- (* 2 x) 2) y) (taylor -inf y) (#s(alt (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y) (patch (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (/ (- (* 2 x) 2) y) (taylor -inf y) (#s(alt (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y) (patch (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt -2 (taylor 0 x) (#s(alt (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) (patch (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 2 x) 2) (taylor 0 x) (#s(alt (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) (patch (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 2 x) 2) (taylor 0 x) (#s(alt (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) (patch (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 2 x) 2) (taylor 0 x) (#s(alt (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) (patch (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) (patch (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- 2 (* 2 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) (patch (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- 2 (* 2 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) (patch (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- 2 (* 2 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) (patch (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) (patch (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 2 (/ 1 x)) 2))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) (patch (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 2 (/ 1 x)) 2))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) (patch (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 2 (/ 1 x)) 2))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) (patch (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 x) (#s(alt (.f64 (+.f64 x y) (+.f64 x y)) (patch (.f64 (+.f64 x y) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (* x y)) (pow y 2)) (taylor 0 x) (#s(alt (.f64 (+.f64 x y) (+.f64 x y)) (patch (.f64 (+.f64 x y) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (+ x (* 2 y))) (pow y 2)) (taylor 0 x) (#s(alt (.f64 (+.f64 x y) (+.f64 x y)) (patch (.f64 (+.f64 x y) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (+ x (* 2 y))) (pow y 2)) (taylor 0 x) (#s(alt (.f64 (+.f64 x y) (+.f64 x y)) (patch (.f64 (+.f64 x y) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 (+.f64 x y) (+.f64 x y)) (patch (.f64 (+.f64 x y) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ y x)))) (taylor inf x) (#s(alt (.f64 (+.f64 x y) (+.f64 x y)) (patch (.f64 (+.f64 x y) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (+ (* 2 (/ y x)) (/ (pow y 2) (pow x 2))))) (taylor inf x) (#s(alt (.f64 (+.f64 x y) (+.f64 x y)) (patch (.f64 (+.f64 x y) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (+ (* 2 (/ y x)) (/ (pow y 2) (pow x 2))))) (taylor inf x) (#s(alt (.f64 (+.f64 x y) (+.f64 x y)) (patch (.f64 (+.f64 x y) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 (+.f64 x y) (+.f64 x y)) (patch (.f64 (+.f64 x y) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ y x)))) (taylor -inf x) (#s(alt (.f64 (+.f64 x y) (+.f64 x y)) (patch (.f64 (+.f64 x y) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 y) (* -1 (/ (pow y 2) x))) x)))) (taylor -inf x) (#s(alt (.f64 (+.f64 x y) (+.f64 x y)) (patch (.f64 (+.f64 x y) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 y) (* -1 (/ (pow y 2) x))) x)))) (taylor -inf x) (#s(alt (.f64 (+.f64 x y) (+.f64 x y)) (patch (.f64 (+.f64 x y) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 y) (#s(alt (.f64 (+.f64 x y) (+.f64 x y)) (patch (.f64 (+.f64 x y) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (* x y)) (pow x 2)) (taylor 0 y) (#s(alt (.f64 (+.f64 x y) (+.f64 x y)) (patch (.f64 (+.f64 x y) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* y (+ y (* 2 x))) (pow x 2)) (taylor 0 y) (#s(alt (.f64 (+.f64 x y) (+.f64 x y)) (patch (.f64 (+.f64 x y) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* y (+ y (* 2 x))) (pow x 2)) (taylor 0 y) (#s(alt (.f64 (+.f64 x y) (+.f64 x y)) (patch (.f64 (+.f64 x y) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor inf y) (#s(alt (.f64 (+.f64 x y) (+.f64 x y)) (patch (.f64 (+.f64 x y) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1 (* 2 (/ x y)))) (taylor inf y) (#s(alt (.f64 (+.f64 x y) (+.f64 x y)) (patch (.f64 (+.f64 x y) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1 (+ (* 2 (/ x y)) (/ (pow x 2) (pow y 2))))) (taylor inf y) (#s(alt (.f64 (+.f64 x y) (+.f64 x y)) (patch (.f64 (+.f64 x y) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1 (+ (* 2 (/ x y)) (/ (pow x 2) (pow y 2))))) (taylor inf y) (#s(alt (.f64 (+.f64 x y) (+.f64 x y)) (patch (.f64 (+.f64 x y) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor -inf y) (#s(alt (.f64 (+.f64 x y) (+.f64 x y)) (patch (.f64 (+.f64 x y) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1 (* 2 (/ x y)))) (taylor -inf y) (#s(alt (.f64 (+.f64 x y) (+.f64 x y)) (patch (.f64 (+.f64 x y) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (pow x 2) y))) y)))) (taylor -inf y) (#s(alt (.f64 (+.f64 x y) (+.f64 x y)) (patch (.f64 (+.f64 x y) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (pow x 2) y))) y)))) (taylor -inf y) (#s(alt (.f64 (+.f64 x y) (+.f64 x y)) (patch (.f64 (+.f64 x y) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ 2 y) (taylor 0 x) (#s(alt (+.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (+.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (+ x y)) (taylor 0 x) (#s(alt (+.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (+.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (+ x y)) (taylor 0 x) (#s(alt (+.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (+.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (+ x y)) (taylor 0 x) (#s(alt (+.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (+.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (+.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (+.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (+ (* 2 (/ 1 x)) (/ y x)))) (taylor inf x) (#s(alt (+.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (+.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (+ (* 2 (/ 1 x)) (/ y x)))) (taylor inf x) (#s(alt (+.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (+.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (+ (* 2 (/ 1 x)) (/ y x)))) (taylor inf x) (#s(alt (+.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (+.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (+.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (+.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ 2 y) x)) 1))) (taylor -inf x) (#s(alt (+.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (+.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ 2 y) x)) 1))) (taylor -inf x) (#s(alt (+.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (+.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ 2 y) x)) 1))) (taylor -inf x) (#s(alt (+.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (+.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ 2 x) (taylor 0 y) (#s(alt (+.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (+.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (+ x y)) (taylor 0 y) (#s(alt (+.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (+.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (+ x y)) (taylor 0 y) (#s(alt (+.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (+.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (+ x y)) (taylor 0 y) (#s(alt (+.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (+.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt y (taylor inf y) (#s(alt (+.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (+.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (+ (* 2 (/ 1 y)) (/ x y)))) (taylor inf y) (#s(alt (+.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (+.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (+ (* 2 (/ 1 y)) (/ x y)))) (taylor inf y) (#s(alt (+.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (+.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (+ (* 2 (/ 1 y)) (/ x y)))) (taylor inf y) (#s(alt (+.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (+.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt y (taylor -inf y) (#s(alt (+.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (+.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ (+ 2 x) y)) 1))) (taylor -inf y) (#s(alt (+.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (+.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ (+ 2 x) y)) 1))) (taylor -inf y) (#s(alt (+.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (+.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ (+ 2 x) y)) 1))) (taylor -inf y) (#s(alt (+.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (+.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())

Calls

93 calls:

Time	Variable		Point	Expression
2.0ms	y	@	0	(- 1 (/ (+ (* 2 x) -2) y))
2.0ms	x	@	inf	(* (/ (- x y) (- 4 (* (+ x y) (+ x y)))) (+ 2 (+ x y)))
1.0ms	x	@	0	(* (/ (- x y) (- 4 (* (+ x y) (+ x y)))) (+ 2 (+ x y)))
1.0ms	y	@	-inf	(/ (- x y) (- 4 (* (+ x y) (+ x y))))
1.0ms	y	@	0	(* (/ (- x y) (- 4 (* (+ x y) (+ x y)))) (+ 2 (+ x y)))

simplify451.0ms (4.2%)

Memory

30.9MiB live, 582.6MiB allocated

Algorithm

1×	egg-herbie

Rules

8 876×	`lower-fma.f64`
8 876×	`lower-fma.f32`
5 834×	`lower-*.f64`
5 834×	`lower-*.f32`
4 920×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	763	6977
1	2503	6388
0	8485	6048

Stop Event

1×	iter limit
1×	node limit

Counts

372 → 365

Calls

Call 1

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

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

rewrite458.0ms (4.2%)

Memory

9.2MiB live, 528.7MiB allocated

Rules

5 030×	`lower-/.f32`
5 024×	`lower-/.f64`
4 964×	`lower-*.f32`
4 958×	`lower-*.f64`
2 432×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	34	178
0	49	170
1	234	162
2	2036	162
0	8593	162

Stop Event

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

Counts

18 → 796

Calls

Call 1

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

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

eval466.0ms (4.3%)

Memory: 18.7MiB live, 355.9MiB allocated
Compiler: Compiled 43 468 to 3 387 computations (92.2% saved)

prune274.0ms (2.5%)

Memory

-14.8MiB live, 354.1MiB allocated

Pruning

17 alts after pruning (9 fresh and 8 done)

	Pruned	Kept	Total
New	1 204	6	1 210
Fresh	1	3	4
Picked	2	3	5
Done	0	5	5
Total	1 207	17	1 224

Accuracy

100.0%

Counts

1 224 → 17

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)))
	39.3%	(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 y)))
✓	39.1%	(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x)))
✓	24.4%	(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64))))
▶	13.7%	(/.f64 #s(approx (- x y) (neg.f64 y)) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64))))
✓	99.7%	(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y))
	32.4%	(.f64 #s(approx (/ (- x y) (- 4 ( (+ x y) (+ x y)))) (/.f64 (neg.f64 y) (-.f64 #s(literal 4 binary64) (*.f64 y y)))) (+.f64 #s(literal 2 binary64) (+.f64 x y)))
▶	51.4%	#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 y #s(literal -2 binary64))))
✓	51.1%	#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x)))
	51.1%	#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))))
▶	39.5%	#s(approx (/ (- x y) (- 2 (+ x y))) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* 2 x) -2) (*.f64 #s(literal 2 binary64) x)) y)))
✓	13.9%	#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))
	3.1%	#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (.f64 x #s(approx (+ ( x 1/4) 1/2) (*.f64 x #s(literal 1/4 binary64))))))
▶	14.2%	#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (.f64 x #s(approx (+ ( x 1/4) 1/2) #s(literal 1/2 binary64)))))
✓	39.2%	#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64))
✓	38.8%	#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64))
▶	31.6%	#s(approx (* (/ (- x y) (- 4 (* (+ x y) (+ x y)))) (+ 2 (+ x y))) (/.f64 (.f64 y (+.f64 y #s(literal 2 binary64))) (neg.f64 (-.f64 #s(literal 4 binary64) (.f64 y y)))))

Compiler

Compiled 262 to 163 computations (37.8% saved)

simplify438.0ms (4%)

Memory

-36.5MiB live, 496.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 y (+.f64 y #s(literal 2 binary64)))
cost-diff	0	(/.f64 (.f64 y (+.f64 y #s(literal 2 binary64))) (neg.f64 (-.f64 #s(literal 4 binary64) (.f64 y y))))
cost-diff	0	#s(approx (* (/ (- x y) (- 4 (* (+ x y) (+ x y)))) (+ 2 (+ x y))) (/.f64 (.f64 y (+.f64 y #s(literal 2 binary64))) (neg.f64 (-.f64 #s(literal 4 binary64) (.f64 y y)))))
cost-diff	256	(neg.f64 (-.f64 #s(literal 4 binary64) (*.f64 y y)))
cost-diff	0	(/.f64 #s(approx (+ (* 2 x) -2) (*.f64 #s(literal 2 binary64) x)) y)
cost-diff	0	(-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* 2 x) -2) (*.f64 #s(literal 2 binary64) x)) y))
cost-diff	0	#s(approx (/ (- x y) (- 2 (+ x y))) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* 2 x) -2) (*.f64 #s(literal 2 binary64) x)) y)))
cost-diff	128	(*.f64 #s(literal 2 binary64) x)
cost-diff	0	#s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))
cost-diff	0	(neg.f64 y)
cost-diff	0	#s(approx (- x y) (neg.f64 y))
cost-diff	0	(/.f64 #s(approx (- x y) (neg.f64 y)) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64))))
cost-diff	0	#s(approx (+ (* x 1/4) 1/2) #s(literal 1/2 binary64))
cost-diff	0	(.f64 x #s(approx (+ ( x 1/4) 1/2) #s(literal 1/2 binary64)))
cost-diff	0	#s(approx (/ x (- 2 x)) (.f64 x #s(approx (+ ( x 1/4) 1/2) #s(literal 1/2 binary64))))
cost-diff	0	#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (.f64 x #s(approx (+ ( x 1/4) 1/2) #s(literal 1/2 binary64)))))
cost-diff	0	(+.f64 y #s(literal -2 binary64))
cost-diff	0	(/.f64 y (+.f64 y #s(literal -2 binary64)))
cost-diff	0	#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 y #s(literal -2 binary64))))

Rules

12 796×	`lower-fma.f64`
12 796×	`lower-fma.f32`
2 452×	`lower-*.f32`
2 444×	`lower-*.f64`
2 310×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	259
0	62	259
1	127	256
2	275	256
3	635	256
4	1769	256
5	4489	256
0	8209	244

Stop Event

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

Calls

Call 1

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

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

localize98.0ms (0.9%)

Memory

35.0MiB live, 229.6MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(-.f64 #s(literal 4 binary64) (*.f64 y y))
accuracy	0.015625	(*.f64 y (+.f64 y #s(literal 2 binary64)))
accuracy	13.105617306744568	(/.f64 (.f64 y (+.f64 y #s(literal 2 binary64))) (neg.f64 (-.f64 #s(literal 4 binary64) (.f64 y y))))
accuracy	31.112304612599424	#s(approx (* (/ (- x y) (- 4 (* (+ x y) (+ x y)))) (+ 2 (+ x y))) (/.f64 (.f64 y (+.f64 y #s(literal 2 binary64))) (neg.f64 (-.f64 #s(literal 4 binary64) (.f64 y y)))))
accuracy	0	(-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* 2 x) -2) (*.f64 #s(literal 2 binary64) x)) y))
accuracy	0	(*.f64 #s(literal 2 binary64) x)
accuracy	31.517412206973976	#s(approx (+ (* 2 x) -2) (*.f64 #s(literal 2 binary64) x))
accuracy	38.85003822506321	#s(approx (/ (- x y) (- 2 (+ x y))) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* 2 x) -2) (*.f64 #s(literal 2 binary64) x)) y)))
accuracy	0.01953125	(/.f64 #s(approx (- x y) (neg.f64 y)) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64))))
accuracy	24.046066647971553	#s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))
accuracy	28.730276537809637	#s(approx (- 2 y) #s(literal 2 binary64))
accuracy	31.219209381223195	#s(approx (- x y) (neg.f64 y))
accuracy	0.0078125	(.f64 x #s(approx (+ ( x 1/4) 1/2) #s(literal 1/2 binary64)))
accuracy	31.27979555484947	#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (.f64 x #s(approx (+ ( x 1/4) 1/2) #s(literal 1/2 binary64)))))
accuracy	31.677913895213077	#s(approx (+ (* x 1/4) 1/2) #s(literal 1/2 binary64))
accuracy	32.25931897196507	#s(approx (/ x (- 2 x)) (.f64 x #s(approx (+ ( x 1/4) 1/2) #s(literal 1/2 binary64))))
accuracy	0	(+.f64 y #s(literal -2 binary64))
accuracy	0.015625	(/.f64 y (+.f64 y #s(literal -2 binary64)))
accuracy	31.112304612599424	#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 y #s(literal -2 binary64))))

Samples

64.0ms

256×

valid

Compiler

Compiled 166 to 38 computations (77.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

ival-div: 12.0ms (27.8% of total)

ival-mult: 12.0ms (27.8% of total)

ival-sub: 9.0ms (20.9% of total)

ival-add: 7.0ms (16.2% of total)

ival-neg: 2.0ms (4.6% of total)

exact: 1.0ms (2.3% of total)

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

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

series20.0ms (0.2%)

Memory

6.5MiB live, 44.5MiB allocated

Counts

22 → 372

Calls

Call 1

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

Outputs
#s(alt (* -1 (/ y (- 2 y))) (taylor 0 x) (#s(alt #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 y #s(literal -2 binary64)))) (patch #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 y #s(literal -2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))))) (taylor 0 x) (#s(alt #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 y #s(literal -2 binary64)))) (patch #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 y #s(literal -2 binary64)))) #<representation binary64>) () ())) ())
#s(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))))) (taylor 0 x) (#s(alt #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 y #s(literal -2 binary64)))) (patch #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 y #s(literal -2 binary64)))) #<representation binary64>) () ())) ())
#s(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))))) (taylor 0 x) (#s(alt #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 y #s(literal -2 binary64)))) (patch #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 y #s(literal -2 binary64)))) #<representation binary64>) () ())) ())
#s(alt -1 (taylor inf x) (#s(alt #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 y #s(literal -2 binary64)))) (patch #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 y #s(literal -2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) (taylor inf x) (#s(alt #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 y #s(literal -2 binary64)))) (patch #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 y #s(literal -2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) (taylor inf x) (#s(alt #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 y #s(literal -2 binary64)))) (patch #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 y #s(literal -2 binary64)))) #<representation binary64>) () ())) ())
#s(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))))) (taylor inf x) (#s(alt #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 y #s(literal -2 binary64)))) (patch #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 y #s(literal -2 binary64)))) #<representation binary64>) () ())) ())
#s(alt -1 (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 y #s(literal -2 binary64)))) (patch #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 y #s(literal -2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 y #s(literal -2 binary64)))) (patch #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 y #s(literal -2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 y #s(literal -2 binary64)))) (patch #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 y #s(literal -2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 y #s(literal -2 binary64)))) (patch #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 y #s(literal -2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ x (- 2 x)) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 y #s(literal -2 binary64)))) (patch #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 y #s(literal -2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 y #s(literal -2 binary64)))) (patch #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 y #s(literal -2 binary64)))) #<representation binary64>) () ())) ())
#s(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))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 y #s(literal -2 binary64)))) (patch #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 y #s(literal -2 binary64)))) #<representation binary64>) () ())) ())
#s(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))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 y #s(literal -2 binary64)))) (patch #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 y #s(literal -2 binary64)))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf y) (#s(alt #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 y #s(literal -2 binary64)))) (patch #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 y #s(literal -2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y))) (taylor inf y) (#s(alt #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 y #s(literal -2 binary64)))) (patch #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 y #s(literal -2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y))) (taylor inf y) (#s(alt #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 y #s(literal -2 binary64)))) (patch #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 y #s(literal -2 binary64)))) #<representation binary64>) () ())) ())
#s(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)))) (taylor inf y) (#s(alt #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 y #s(literal -2 binary64)))) (patch #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 y #s(literal -2 binary64)))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf y) (#s(alt #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 y #s(literal -2 binary64)))) (patch #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 y #s(literal -2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- (* 2 x) 2) y))) (taylor -inf y) (#s(alt #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 y #s(literal -2 binary64)))) (patch #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 y #s(literal -2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y))) (taylor -inf y) (#s(alt #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 y #s(literal -2 binary64)))) (patch #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 y #s(literal -2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y))) (taylor -inf y) (#s(alt #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 y #s(literal -2 binary64)))) (patch #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 y #s(literal -2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 y) (taylor 0 y) (#s(alt (/.f64 y (+.f64 y #s(literal -2 binary64))) (patch (/.f64 y (+.f64 y #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (- (* -1/4 y) 1/2)) (taylor 0 y) (#s(alt (/.f64 y (+.f64 y #s(literal -2 binary64))) (patch (/.f64 y (+.f64 y #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (- (* y (- (* -1/8 y) 1/4)) 1/2)) (taylor 0 y) (#s(alt (/.f64 y (+.f64 y #s(literal -2 binary64))) (patch (/.f64 y (+.f64 y #s(literal -2 binary64))) #<representation binary64>) () ())) ())
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#s(alt (- (* 2 x) 2) (taylor 0 x) (#s(alt #s(approx (+ (* 2 x) -2) (.f64 #s(literal 2 binary64) x)) (patch #s(approx (+ ( 2 x) -2) (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt #s(approx (+ (* 2 x) -2) (.f64 #s(literal 2 binary64) x)) (patch #s(approx (+ ( 2 x) -2) (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x (- 2 (* 2 (/ 1 x)))) (taylor inf x) (#s(alt #s(approx (+ (* 2 x) -2) (.f64 #s(literal 2 binary64) x)) (patch #s(approx (+ ( 2 x) -2) (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x (- 2 (* 2 (/ 1 x)))) (taylor inf x) (#s(alt #s(approx (+ (* 2 x) -2) (.f64 #s(literal 2 binary64) x)) (patch #s(approx (+ ( 2 x) -2) (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x (- 2 (* 2 (/ 1 x)))) (taylor inf x) (#s(alt #s(approx (+ (* 2 x) -2) (.f64 #s(literal 2 binary64) x)) (patch #s(approx (+ ( 2 x) -2) (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt #s(approx (+ (* 2 x) -2) (.f64 #s(literal 2 binary64) x)) (patch #s(approx (+ ( 2 x) -2) (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 2 (/ 1 x)) 2))) (taylor -inf x) (#s(alt #s(approx (+ (* 2 x) -2) (.f64 #s(literal 2 binary64) x)) (patch #s(approx (+ ( 2 x) -2) (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 2 (/ 1 x)) 2))) (taylor -inf x) (#s(alt #s(approx (+ (* 2 x) -2) (.f64 #s(literal 2 binary64) x)) (patch #s(approx (+ ( 2 x) -2) (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 2 (/ 1 x)) 2))) (taylor -inf x) (#s(alt #s(approx (+ (* 2 x) -2) (.f64 #s(literal 2 binary64) x)) (patch #s(approx (+ ( 2 x) -2) (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt 4 (taylor 0 y) (#s(alt (-.f64 #s(literal 4 binary64) (.f64 y y)) (patch (-.f64 #s(literal 4 binary64) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (+ 4 (* -1 (pow y 2))) (taylor 0 y) (#s(alt (-.f64 #s(literal 4 binary64) (.f64 y y)) (patch (-.f64 #s(literal 4 binary64) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (+ 4 (* -1 (pow y 2))) (taylor 0 y) (#s(alt (-.f64 #s(literal 4 binary64) (.f64 y y)) (patch (-.f64 #s(literal 4 binary64) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (+ 4 (* -1 (pow y 2))) (taylor 0 y) (#s(alt (-.f64 #s(literal 4 binary64) (.f64 y y)) (patch (-.f64 #s(literal 4 binary64) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow y 2)) (taylor inf y) (#s(alt (-.f64 #s(literal 4 binary64) (.f64 y y)) (patch (-.f64 #s(literal 4 binary64) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- (* 4 (/ 1 (pow y 2))) 1)) (taylor inf y) (#s(alt (-.f64 #s(literal 4 binary64) (.f64 y y)) (patch (-.f64 #s(literal 4 binary64) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- (* 4 (/ 1 (pow y 2))) 1)) (taylor inf y) (#s(alt (-.f64 #s(literal 4 binary64) (.f64 y y)) (patch (-.f64 #s(literal 4 binary64) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- (* 4 (/ 1 (pow y 2))) 1)) (taylor inf y) (#s(alt (-.f64 #s(literal 4 binary64) (.f64 y y)) (patch (-.f64 #s(literal 4 binary64) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow y 2)) (taylor -inf y) (#s(alt (-.f64 #s(literal 4 binary64) (.f64 y y)) (patch (-.f64 #s(literal 4 binary64) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- (* 4 (/ 1 (pow y 2))) 1)) (taylor -inf y) (#s(alt (-.f64 #s(literal 4 binary64) (.f64 y y)) (patch (-.f64 #s(literal 4 binary64) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- (* 4 (/ 1 (pow y 2))) 1)) (taylor -inf y) (#s(alt (-.f64 #s(literal 4 binary64) (.f64 y y)) (patch (-.f64 #s(literal 4 binary64) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- (* 4 (/ 1 (pow y 2))) 1)) (taylor -inf y) (#s(alt (-.f64 #s(literal 4 binary64) (.f64 y y)) (patch (-.f64 #s(literal 4 binary64) (.f64 y y)) #<representation binary64>) () ())) ())

Calls

93 calls:

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

simplify389.0ms (3.6%)

Memory

-22.0MiB live, 617.9MiB allocated

Algorithm

1×	egg-herbie

Rules

8 312×	`lower-fma.f64`
8 312×	`lower-fma.f32`
5 038×	`lower-*.f64`
5 038×	`lower-*.f32`
3 356×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	539	5569
1	1716	5207
2	5837	5099
0	8330	4756

Stop Event

1×	iter limit
1×	node limit

Counts

372 → 367

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

rewrite936.0ms (8.6%)

Memory

-4.9MiB live, 441.5MiB allocated

Rules

5 082×	`lower-/.f32`
5 074×	`lower-/.f64`
4 370×	`lower-*.f32`
4 362×	`lower-*.f64`
2 364×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	240
0	62	238
1	293	223
2	2439	223
0	8508	215

Stop Event

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

Counts

22 → 262

Calls

Call 1

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

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

eval114.0ms (1.1%)

Memory: 18.2MiB live, 170.9MiB allocated
Compiler: Compiled 11 105 to 1 077 computations (90.3% saved)

prune138.0ms (1.3%)

Memory

8.6MiB live, 201.6MiB allocated

Pruning

16 alts after pruning (5 fresh and 11 done)

	Pruned	Kept	Total
New	626	3	629
Fresh	2	2	4
Picked	2	3	5
Done	0	8	8
Total	630	16	646

Accuracy

100.0%

Counts

646 → 16

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)))
	39.3%	(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 y)))
✓	39.1%	(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x)))
✓	24.4%	(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64))))
✓	99.7%	(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y))
✓	51.4%	#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 y #s(literal -2 binary64))))
✓	51.1%	#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x)))
	51.1%	#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))))
✓	39.5%	#s(approx (/ (- x y) (- 2 (+ x y))) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* 2 x) -2) (*.f64 #s(literal 2 binary64) x)) y)))
	32.2%	#s(approx (/ (- x y) (- 2 (+ x y))) (*.f64 (/.f64 y (fma.f64 y y #s(literal -4 binary64))) (+.f64 y #s(literal 2 binary64))))
	13.2%	#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ y -2)) (*.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64)))))
	13.7%	#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ y -2)) (*.f64 y #s(literal -1/2 binary64))))
✓	13.9%	#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))
✓	14.2%	#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (.f64 x #s(approx (+ ( x 1/4) 1/2) #s(literal 1/2 binary64)))))
✓	39.2%	#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64))
✓	38.8%	#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64))

Compiler

Compiled 369 to 160 computations (56.6% saved)

regimes26.0ms (0.2%)

Memory

-9.6MiB live, 68.3MiB allocated

Counts

26 → 1

Calls

Call 1

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

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

Calls

3 calls:

9.0ms	x
8.0ms	(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
8.0ms	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)

regimes23.0ms (0.2%)

Memory

-20.5MiB live, 33.0MiB allocated

Counts

18 → 2

Calls

Call 1

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

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

Calls

3 calls:

11.0ms	y
6.0ms	x
5.0ms	(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))

Results

Accuracy	Segments	Branch
88.5%	3	`x`
85.1%	3	`y`
99.3%	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%)

Memory

5.0MiB live, 5.0MiB allocated

Counts

14 → 3

Calls

Call 1

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

Outputs

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

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

#s(approx (/ (- x y) (- 2 (+ x y))) (/.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
98.9%	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%)

Memory

4.4MiB live, 4.4MiB allocated

Counts

11 → 4

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

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

Results

Accuracy	Segments	Branch
92.3%	4	`(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes4.0ms (0%)

Memory

6.1MiB live, 6.1MiB allocated

Counts

10 → 4

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

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

Results

Accuracy	Segments	Branch
91.0%	4	`(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes9.0ms (0.1%)

Memory

-23.5MiB live, 14.1MiB allocated

Counts

9 → 4

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	x
3.0ms	(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))

Results

Accuracy	Segments	Branch
68.7%	4	`x`
89.8%	4	`(/.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

9.2MiB live, 9.2MiB allocated

Counts

7 → 4

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

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

Results

Accuracy	Segments	Branch
89.6%	4	`(/.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

7.7MiB live, 7.7MiB allocated

Counts

6 → 4

Calls

Call 1

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

Outputs
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64))
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ y -2)) (*.f64 y #s(literal -1/2 binary64))))
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 x #s(literal 1/2 binary64))))
#s(approx (/ (- x y) (- 2 (+ x y))) #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
89.5%	4	`(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes2.0ms (0%)

Memory

5.7MiB live, 5.7MiB allocated

Counts

4 → 3

Calls

Call 1

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

Outputs

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

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

#s(approx (/ (- x y) (- 2 (+ x y))) #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
86.5%	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

8.9MiB live, 8.9MiB allocated

Counts

2 → 2

Calls

Call 1

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

Outputs
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64))
#s(approx (/ (- x y) (- 2 (+ x y))) #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
70.5%	3	`y`
76.3%	2	`(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))`

Compiler

Compiled 14 to 9 computations (35.7% saved)

regimes5.0ms (0%)

Memory

-26.6MiB live, 11.7MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

3.0ms	x
1.0ms	y
1.0ms	(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))

Results

Accuracy	Segments	Branch
38.8%	1	`x`
38.8%	1	`y`
38.8%	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

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-2.6328824081407547e-5	-9.99597694329573e-10

Compiler

Compiled 14 to 12 computations (14.3% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0849174970874531e-5	0.013321977528827302
0.0ms	-2.6328824081407547e-5	-9.99597694329573e-10

Compiler

Compiled 14 to 12 computations (14.3% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	4.832967628162825e-27	9.09851231287613e-10
0.0ms	7.949807863455297e-200	1.1437221148741217e-171
0.0ms	-2.6328824081407547e-5	-9.99597694329573e-10

Compiler

Compiled 14 to 12 computations (14.3% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	1.0849174970874531e-5	0.013321977528827302
0.0ms	7.949807863455297e-200	1.1437221148741217e-171
0.0ms	-2.6328824081407547e-5	-9.99597694329573e-10

Compiler

Compiled 14 to 12 computations (14.3% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	1.0849174970874531e-5	0.013321977528827302
0.0ms	7.949807863455297e-200	1.1437221148741217e-171
0.0ms	-2.6328824081407547e-5	-9.99597694329573e-10

Compiler

Compiled 14 to 12 computations (14.3% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	1.0849174970874531e-5	0.013321977528827302
0.0ms	7.949807863455297e-200	1.1437221148741217e-171
0.0ms	-2.6328824081407547e-5	-9.99597694329573e-10

Compiler

Compiled 14 to 12 computations (14.3% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	1.0849174970874531e-5	0.013321977528827302
0.0ms	7.949807863455297e-200	1.1437221148741217e-171
0.0ms	-2.6328824081407547e-5	-9.99597694329573e-10

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	1.0849174970874531e-5	0.013321977528827302
0.0ms	-0.9175931504642985	-0.0007758584021698464

Compiler

Compiled 14 to 12 computations (14.3% saved)

bsearch11.0ms (0.1%)

Memory

24.7MiB live, 24.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	-2.0712365722951734e-261	1.7384845824675676e-254

Samples

4.0ms

208×

valid

Compiler

Compiled 144 to 116 computations (19.4% 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)

simplify15.0ms (0.1%)

Memory

-10.0MiB live, 28.7MiB allocated

Algorithm

1×	egg-herbie

Rules

18×	`+-commutative_binary64`
14×	`*-commutative_binary64`
14×	`sub-neg_binary64`
6×	`neg-sub0_binary64`
6×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	81	724
1	97	724
2	109	724
3	117	724
4	120	724

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 -5902958103587057/295147905179352825856 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -5902958103587057/295147905179352825856 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 5902958103587057/295147905179352825856 binary64)) (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))) #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 y #s(literal -2 binary64))))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -5902958103587057/295147905179352825856 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 8618206661096855/86182066610968551542636378241108028056376767329454880514019834315878107616003372189510312530372009184902888961739623919010110377987011442493486117202360415845666384627768436296772219009176743399772868636439042064384 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 y #s(literal -2 binary64)))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 1742245718635205/348449143727040986586495598010130648530944 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 x #s(literal 1/2 binary64)))) #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 y #s(literal -2 binary64)))))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -5902958103587057/295147905179352825856 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 8618206661096855/86182066610968551542636378241108028056376767329454880514019834315878107616003372189510312530372009184902888961739623919010110377987011442493486117202360415845666384627768436296772219009176743399772868636439042064384 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ y -2)) (*.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64))))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 5902958103587057/295147905179352825856 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -5902958103587057/295147905179352825856 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 8618206661096855/86182066610968551542636378241108028056376767329454880514019834315878107616003372189510312530372009184902888961739623919010110377987011442493486117202360415845666384627768436296772219009176743399772868636439042064384 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ y -2)) (.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64))))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 5902958103587057/295147905179352825856 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64))))) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -5902958103587057/295147905179352825856 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 8618206661096855/86182066610968551542636378241108028056376767329454880514019834315878107616003372189510312530372009184902888961739623919010110377987011442493486117202360415845666384627768436296772219009176743399772868636439042064384 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ y -2)) (.f64 y #s(literal -1/2 binary64)))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 5902958103587057/295147905179352825856 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64))))) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -5902958103587057/295147905179352825856 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 8618206661096855/86182066610968551542636378241108028056376767329454880514019834315878107616003372189510312530372009184902888961739623919010110377987011442493486117202360415845666384627768436296772219009176743399772868636439042064384 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ y -2)) (.f64 y #s(literal -1/2 binary64)))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 5902958103587057/295147905179352825856 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (.f64 x #s(literal 1/2 binary64)))) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -1/2 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 5902958103587057/295147905179352825856 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 x #s(literal 1/2 binary64)))) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -20240225330731/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)))
#s(approx (/ (- x y) (- 2 (+ x y))) #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 -5902958103587057/295147905179352825856 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -5902958103587057/295147905179352825856 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 5902958103587057/295147905179352825856 binary64)) (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))) #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 y #s(literal -2 binary64))))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -5902958103587057/295147905179352825856 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 8618206661096855/86182066610968551542636378241108028056376767329454880514019834315878107616003372189510312530372009184902888961739623919010110377987011442493486117202360415845666384627768436296772219009176743399772868636439042064384 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 y #s(literal -2 binary64)))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 1742245718635205/348449143727040986586495598010130648530944 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 x #s(literal 1/2 binary64)))) #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 y #s(literal -2 binary64)))))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -5902958103587057/295147905179352825856 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 8618206661096855/86182066610968551542636378241108028056376767329454880514019834315878107616003372189510312530372009184902888961739623919010110377987011442493486117202360415845666384627768436296772219009176743399772868636439042064384 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ y -2)) (*.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64))))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 5902958103587057/295147905179352825856 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -5902958103587057/295147905179352825856 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 8618206661096855/86182066610968551542636378241108028056376767329454880514019834315878107616003372189510312530372009184902888961739623919010110377987011442493486117202360415845666384627768436296772219009176743399772868636439042064384 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ y -2)) (.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64))))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 5902958103587057/295147905179352825856 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64))))) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -5902958103587057/295147905179352825856 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 8618206661096855/86182066610968551542636378241108028056376767329454880514019834315878107616003372189510312530372009184902888961739623919010110377987011442493486117202360415845666384627768436296772219009176743399772868636439042064384 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ y -2)) (.f64 y #s(literal -1/2 binary64)))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 5902958103587057/295147905179352825856 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64))))) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -5902958103587057/295147905179352825856 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 8618206661096855/86182066610968551542636378241108028056376767329454880514019834315878107616003372189510312530372009184902888961739623919010110377987011442493486117202360415845666384627768436296772219009176743399772868636439042064384 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ y -2)) (.f64 y #s(literal -1/2 binary64)))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 5902958103587057/295147905179352825856 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (.f64 x #s(literal 1/2 binary64)))) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -1/2 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 5902958103587057/295147905179352825856 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 x #s(literal 1/2 binary64)))) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -20240225330731/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)))
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64))

soundness925.0ms (8.5%)

Memory

-109.8MiB live, 698.0MiB allocated

Rules

12 038×	`lower-fma.f64`
12 038×	`lower-fma.f32`
9 584×	`lower-fma.f64`
9 584×	`lower-fma.f32`
8 312×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	539	5569
1	1716	5207
2	5837	5099
0	8330	4756
0	347	4340
1	1077	4037
2	3221	3919
0	8516	3694
0	186	985
1	571	921
2	1809	857
3	7607	851
0	8573	806

Stop Event

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

Compiler

Compiled 592 to 203 computations (65.7% saved)

preprocess68.0ms (0.6%)

Memory: 20.5MiB live, 173.5MiB allocated
Compiler: Compiled 870 to 144 computations (83.4% 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	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

start0.0ms (0%)

analyze17.0ms (0.2%)

sample783.0ms (7.2%)

explain410.0ms (3.8%)

preprocess95.0ms (0.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify233.0ms (2.1%)

localize239.0ms (2.2%)

series7.0ms (0.1%)

simplify650.0ms (6%)

rewrite514.0ms (4.7%)

eval474.0ms (4.4%)

prune162.0ms (1.5%)

simplify96.0ms (0.9%)

localize103.0ms (1%)

series26.0ms (0.2%)

simplify554.0ms (5.1%)

rewrite397.0ms (3.7%)

eval326.0ms (3%)

prune304.0ms (2.8%)

simplify444.0ms (4.1%)

localize80.0ms (0.7%)

series38.0ms (0.3%)

simplify451.0ms (4.2%)

rewrite458.0ms (4.2%)

eval466.0ms (4.3%)

prune274.0ms (2.5%)

simplify438.0ms (4%)

localize98.0ms (0.9%)

series20.0ms (0.2%)

simplify389.0ms (3.6%)

rewrite936.0ms (8.6%)

eval114.0ms (1.1%)

prune138.0ms (1.3%)

regimes26.0ms (0.2%)

regimes23.0ms (0.2%)

regimes5.0ms (0%)

regimes4.0ms (0%)

regimes4.0ms (0%)

regimes9.0ms (0.1%)

regimes3.0ms (0%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes3.0ms (0%)

regimes5.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch11.0ms (0.1%)

simplify15.0ms (0.1%)

soundness925.0ms (8.5%)

preprocess68.0ms (0.6%)

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