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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze16.0ms (0.2%)

Memory

30.9MiB live, 30.9MiB 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)

sample767.0ms (8.5%)

Memory

6.3MiB live, 867.5MiB allocated

Samples

441.0ms	8 253×	0	valid
0.0ms	2×	2	valid
0.0ms	1×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 186.0ms

ival-sub: 78.0ms (42% of total)

ival-div: 55.0ms (29.6% of total)

ival-add: 40.0ms (21.5% of total)

ival-true: 5.0ms (2.7% of total)

exact: 4.0ms (2.2% of total)

ival-assert: 3.0ms (1.6% of total)

adjust: 0.0ms (0% of total)

Bogosity

explain144.0ms (1.6%)

Memory

-20.5MiB live, 100.5MiB 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

24.0ms

512×

valid

Compiler

Compiled 61 to 25 computations (59% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-sub: 4.0ms (36% of total)

ival-div: 3.0ms (27% of total)

ival-add: 3.0ms (27% of total)

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

exact: 0.0ms (0% of total)

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

preprocess100.0ms (1.1%)

Memory

16.0MiB live, 90.0MiB 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

1.1MiB live, 1.1MiB 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)

simplify46.0ms (0.5%)

Memory

-15.3MiB live, 36.4MiB 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)

localize19.0ms (0.2%)

Memory

22.8MiB live, 22.8MiB 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	0.0234375	(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))

Samples

12.0ms

256×

valid

Compiler

Compiled 25 to 9 computations (64% saved)

Precisions

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

ival-sub: 2.0ms (36.9% of total)

ival-div: 1.0ms (18.5% of total)

ival-add: 1.0ms (18.5% of total)

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

exact: 0.0ms (0% of total)

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

series38.0ms (0.4%)

Memory

-27.3MiB live, 10.3MiB 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)))
0.0ms	y	@	-inf	(/ (- x y) (- 2 (+ x y)))

simplify329.0ms (3.6%)

Memory

14.7MiB live, 362.1MiB 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 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (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 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 y (/.f64 x x) x)
(* x (+ 1 (/ y x)))
(fma.f64 y (/.f64 x x) x)
(* x (+ 1 (/ y x)))
(fma.f64 y (/.f64 x x) x)
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(fma.f64 y (/.f64 x x) x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(fma.f64 y (/.f64 x x) x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(fma.f64 y (/.f64 x 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)

rewrite1.0s (11.5%)

Memory

13.1MiB live, 302.4MiB 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) (fma.f64 (.f64 (+.f64 x y) (+.f64 x y)) (-.f64 (neg.f64 y) x) #s(literal 8 binary64))) #s(literal 4 binary64)) (.f64 (/.f64 (-.f64 x y) (fma.f64 (.f64 (+.f64 x y) (+.f64 x y)) (-.f64 (neg.f64 y) x) #s(literal 8 binary64))) (*.f64 (+.f64 x y) (+.f64 #s(literal 2 binary64) (+.f64 x y)))))
(+.f64 (.f64 (/.f64 (-.f64 x y) (fma.f64 (.f64 (+.f64 x y) (+.f64 x y)) (-.f64 (neg.f64 y) x) #s(literal 8 binary64))) (.f64 (+.f64 x y) (+.f64 #s(literal 2 binary64) (+.f64 x y)))) (.f64 (/.f64 (-.f64 x y) (fma.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (-.f64 (neg.f64 y) x) #s(literal 8 binary64))) #s(literal 4 binary64)))
(+.f64 (.f64 (/.f64 (-.f64 x y) (fma.f64 (.f64 (+.f64 x y) (+.f64 x y)) (-.f64 (neg.f64 y) x) #s(literal 8 binary64))) (fma.f64 (+.f64 x y) (+.f64 x y) #s(literal 4 binary64))) (.f64 (/.f64 (-.f64 x y) (fma.f64 (.f64 (+.f64 x y) (+.f64 x y)) (-.f64 (neg.f64 y) x) #s(literal 8 binary64))) (*.f64 #s(literal 2 binary64) (+.f64 x y))))
(+.f64 (.f64 (/.f64 (-.f64 x y) (fma.f64 (+.f64 x y) (-.f64 (neg.f64 y) x) #s(literal 4 binary64))) #s(literal 2 binary64)) (.f64 (/.f64 (-.f64 x y) (fma.f64 (+.f64 x y) (-.f64 (neg.f64 y) x) #s(literal 4 binary64))) (+.f64 x y)))
(+.f64 (.f64 (/.f64 (-.f64 x y) (fma.f64 (+.f64 x y) (-.f64 (neg.f64 y) x) #s(literal 4 binary64))) (+.f64 x y)) (.f64 (/.f64 (-.f64 x y) (fma.f64 (+.f64 x y) (-.f64 (neg.f64 y) x) #s(literal 4 binary64))) #s(literal 2 binary64)))
(+.f64 (.f64 (/.f64 (-.f64 x y) (fma.f64 (+.f64 x y) (-.f64 (neg.f64 y) x) #s(literal 4 binary64))) (+.f64 x #s(literal 2 binary64))) (.f64 (/.f64 (-.f64 x y) (fma.f64 (+.f64 x y) (-.f64 (neg.f64 y) x) #s(literal 4 binary64))) y))
(+.f64 (.f64 (/.f64 (-.f64 x y) (fma.f64 (+.f64 x y) (-.f64 (neg.f64 y) x) #s(literal 4 binary64))) (+.f64 y #s(literal 2 binary64))) (.f64 (/.f64 (-.f64 x y) (fma.f64 (+.f64 x y) (-.f64 (neg.f64 y) x) #s(literal 4 binary64))) 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) (fma.f64 (.f64 (+.f64 x y) (+.f64 x y)) (-.f64 (neg.f64 y) x) #s(literal 8 binary64)))) (.f64 (.f64 (+.f64 x y) (+.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 (-.f64 x y) (fma.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (-.f64 (neg.f64 y) x) #s(literal 8 binary64)))))
(+.f64 (.f64 (.f64 (+.f64 x y) (+.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 (-.f64 x y) (fma.f64 (.f64 (+.f64 x y) (+.f64 x y)) (-.f64 (neg.f64 y) x) #s(literal 8 binary64)))) (.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) (fma.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (-.f64 (neg.f64 y) x) #s(literal 8 binary64)))))
(+.f64 (.f64 (fma.f64 (+.f64 x y) (+.f64 x y) #s(literal 4 binary64)) (/.f64 (-.f64 x y) (fma.f64 (.f64 (+.f64 x y) (+.f64 x y)) (-.f64 (neg.f64 y) x) #s(literal 8 binary64)))) (.f64 (.f64 #s(literal 2 binary64) (+.f64 x y)) (/.f64 (-.f64 x y) (fma.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (-.f64 (neg.f64 y) x) #s(literal 8 binary64)))))
(+.f64 (.f64 #s(literal 2 binary64) (/.f64 (-.f64 x y) (fma.f64 (+.f64 x y) (-.f64 (neg.f64 y) x) #s(literal 4 binary64)))) (.f64 (+.f64 x y) (/.f64 (-.f64 x y) (fma.f64 (+.f64 x y) (-.f64 (neg.f64 y) x) #s(literal 4 binary64)))))
(+.f64 (.f64 (+.f64 x y) (/.f64 (-.f64 x y) (fma.f64 (+.f64 x y) (-.f64 (neg.f64 y) x) #s(literal 4 binary64)))) (.f64 #s(literal 2 binary64) (/.f64 (-.f64 x y) (fma.f64 (+.f64 x y) (-.f64 (neg.f64 y) x) #s(literal 4 binary64)))))
(+.f64 (.f64 (+.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 x y) (fma.f64 (+.f64 x y) (-.f64 (neg.f64 y) x) #s(literal 4 binary64)))) (.f64 y (/.f64 (-.f64 x y) (fma.f64 (+.f64 x y) (-.f64 (neg.f64 y) x) #s(literal 4 binary64)))))
(+.f64 (.f64 (+.f64 y #s(literal 2 binary64)) (/.f64 (-.f64 x y) (fma.f64 (+.f64 x y) (-.f64 (neg.f64 y) x) #s(literal 4 binary64)))) (.f64 x (/.f64 (-.f64 x y) (fma.f64 (+.f64 x y) (-.f64 (neg.f64 y) x) #s(literal 4 binary64)))))
(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) (fma.f64 (+.f64 x y) (-.f64 (neg.f64 y) x) #s(literal 4 binary64))) (*.f64 (+.f64 x y) (/.f64 (-.f64 x y) (fma.f64 (+.f64 x y) (-.f64 (neg.f64 y) x) #s(literal 4 binary64)))))
(fma.f64 (+.f64 x y) (/.f64 (-.f64 x y) (fma.f64 (+.f64 x y) (-.f64 (neg.f64 y) x) #s(literal 4 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 x y) (fma.f64 (+.f64 x y) (-.f64 (neg.f64 y) x) #s(literal 4 binary64)))))
(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) (fma.f64 (.f64 (+.f64 x y) (+.f64 x y)) (-.f64 (neg.f64 y) x) #s(literal 8 binary64))) (.f64 (.f64 (+.f64 x y) (+.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 (-.f64 x y) (fma.f64 (.f64 (+.f64 x y) (+.f64 x y)) (-.f64 (neg.f64 y) x) #s(literal 8 binary64)))))
(fma.f64 (.f64 (+.f64 x y) (+.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 (-.f64 x y) (fma.f64 (.f64 (+.f64 x y) (+.f64 x y)) (-.f64 (neg.f64 y) x) #s(literal 8 binary64))) (.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) (fma.f64 (.f64 (+.f64 x y) (+.f64 x y)) (-.f64 (neg.f64 y) x) #s(literal 8 binary64)))))
(fma.f64 (fma.f64 (+.f64 x y) (+.f64 #s(literal 2 binary64) (+.f64 x y)) #s(literal 4 binary64)) (/.f64 x (fma.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (-.f64 (neg.f64 y) x) #s(literal 8 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 (fma.f64 (.f64 (+.f64 x y) (+.f64 x y)) (-.f64 (neg.f64 y) x) #s(literal 8 binary64))) (.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 (fma.f64 (.f64 (+.f64 x y) (+.f64 x y)) (-.f64 (neg.f64 y) x) #s(literal 8 binary64))) (.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 (fma.f64 (+.f64 x y) (-.f64 (neg.f64 y) x) #s(literal 4 binary64))) (/.f64 y (+.f64 (+.f64 x y) #s(literal -2 binary64))))
(fma.f64 (+.f64 #s(literal 2 binary64) (+.f64 x y)) (/.f64 x (fma.f64 (+.f64 x y) (-.f64 (neg.f64 y) x) #s(literal 4 binary64))) (*.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 (fma.f64 (+.f64 x y) (-.f64 (neg.f64 y) x) #s(literal 4 binary64))) (*.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)))
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(/.f64 (.f64 (.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (.f64 (-.f64 x y) (fma.f64 x (+.f64 x y) (.f64 y y)))) (/.f64 #s(literal 1 binary64) (-.f64 x y))) (fma.f64 (.f64 y y) (fma.f64 x x (.f64 y y)) (.f64 x (.f64 x (.f64 x x)))))
(/.f64 (.f64 (.f64 (fma.f64 x x (.f64 y y)) (.f64 (-.f64 x y) (+.f64 x y))) (/.f64 #s(literal 1 binary64) (-.f64 x y))) (fma.f64 x x (*.f64 y y)))
(/.f64 (.f64 (.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 x (+.f64 x y) (.f64 y y))) (.f64 (-.f64 x y) (fma.f64 x (+.f64 x y) (*.f64 y y))))
(/.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) #s(literal 1 binary64)) (-.f64 x y))
(/.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) #s(literal -1 binary64)) (-.f64 x y))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) #s(literal -1 binary64))
(*.f64 (+.f64 x y) #s(literal 1 binary64))
(.f64 (+.f64 x y) (.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (-.f64 x y))))
(.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y))))
(.f64 (fma.f64 x (-.f64 x y) (.f64 y y)) (/.f64 (+.f64 x y) (fma.f64 x (-.f64 x y) (*.f64 y y))))
(.f64 (fma.f64 x (-.f64 x y) (.f64 y y)) (.f64 (+.f64 x y) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (.f64 y y)))))
(.f64 (fma.f64 x (+.f64 x y) (.f64 y y)) (.f64 (/.f64 (+.f64 x y) (fma.f64 x (+.f64 x y) (.f64 y y))) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (+.f64 x y))
(.f64 (.f64 (-.f64 x y) (+.f64 x y)) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(*.f64 #s(literal -1 binary64) (-.f64 (neg.f64 y) x))
(.f64 (neg.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)))))
(.f64 (.f64 (+.f64 x y) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (-.f64 y x)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (.f64 y y))) (fma.f64 x (.f64 x x) (.f64 y (*.f64 y y))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) (.f64 (-.f64 x y) (+.f64 x y)))
(.f64 (.f64 (/.f64 (+.f64 x y) (fma.f64 x (+.f64 x y) (.f64 y y))) #s(literal 1 binary64)) (fma.f64 x (+.f64 x y) (.f64 y y)))
(.f64 (.f64 (/.f64 (+.f64 x y) (fma.f64 x (+.f64 x y) (.f64 y y))) #s(literal 1 binary64)) (fma.f64 (neg.f64 y) (-.f64 (neg.f64 y) x) (.f64 x x)))
(*.f64 (/.f64 (+.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 (/.f64 (+.f64 x y) (.f64 (-.f64 x y) (fma.f64 x (+.f64 x y) (.f64 y y)))) (/.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x y) (.f64 y y)))))
(.f64 (/.f64 (+.f64 x y) (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))))) (/.f64 (-.f64 x y) (fma.f64 x (-.f64 x y) (.f64 y y))))
(.f64 (.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x x) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (.f64 y y))))
(.f64 (.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 x y) (fma.f64 x (+.f64 x y) (.f64 y y))) #s(literal 1 binary64))) (fma.f64 x (+.f64 x y) (*.f64 y y)))
(.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(.f64 (/.f64 (.f64 (+.f64 x y) (-.f64 y x)) (*.f64 (-.f64 x y) (+.f64 x y))) (-.f64 (neg.f64 y) x))
(.f64 (/.f64 (.f64 (+.f64 x y) (-.f64 y x)) (.f64 (-.f64 x y) (fma.f64 x (+.f64 x y) (.f64 y y)))) (neg.f64 (fma.f64 x (+.f64 x y) (*.f64 y y))))
(.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (*.f64 (+.f64 x y) (-.f64 y x))) (-.f64 (neg.f64 y) x))
(.f64 (/.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (fma.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x))) (.f64 (.f64 y (-.f64 y x)) (.f64 (.f64 y (-.f64 y x)) (.f64 y (-.f64 y x)))))) (fma.f64 (.f64 y (-.f64 y x)) (-.f64 (.f64 y (-.f64 y x)) (.f64 x x)) (.f64 x (.f64 x (*.f64 x x)))))
(.f64 (/.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (.f64 (fma.f64 x (-.f64 x y) (.f64 y y)) (-.f64 (.f64 x x) (.f64 y (-.f64 y x))))) (-.f64 (.f64 x x) (.f64 y (-.f64 y x))))
(.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (.f64 (fma.f64 x (+.f64 x y) (.f64 y y)) (-.f64 y x))) (neg.f64 (fma.f64 x (+.f64 x y) (*.f64 y y))))

eval348.0ms (3.8%)

Memory: 12.1MiB live, 131.3MiB allocated
Compiler: Compiled 19 615 to 1 840 computations (90.6% saved)

prune199.0ms (2.2%)

Memory

-18.8MiB live, 295.1MiB allocated

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	681	13	694
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	681	14	695

Accuracy

100.0%

Counts

695 → 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)))
▶	62.3%	(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)))
	36.8%	(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 y)))
	39.6%	(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x)))
	89.3%	(/.f64 #s(approx (- x y) (fma.f64 y (/.f64 x y) (neg.f64 y))) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
	51.3%	(/.f64 #s(approx (- x y) (neg.f64 y)) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
	99.9%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 x y)))
▶	100.0%	(-.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 x y))))
▶	51.0%	#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 y #s(literal -2 binary64))))
	50.4%	#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x)))
▶	39.4%	#s(approx (/ (- x y) (- 2 (+ x y))) (+.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) #s(literal -1 binary64)))
	36.8%	#s(approx (/ (- x y) (- 2 (+ x y))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x x)) y)))
	36.3%	#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64))
▶	39.4%	#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64))

Compiler

Compiled 275 to 169 computations (38.5% saved)

simplify145.0ms (1.6%)

Memory

-3.9MiB live, 72.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64))
cost-diff	0	(/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x)
cost-diff	0	(+.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) #s(literal -1 binary64))
cost-diff	0	#s(approx (/ (- x y) (- 2 (+ x y))) (+.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) #s(literal -1 binary64)))
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	(+.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))))
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 x (-.f64 #s(literal 2 binary64) (+.f64 x y)))
cost-diff	1088	(-.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 x y))))

Rules

1 552×	`lower-fma.f32`
1 550×	`lower-fma.f64`
768×	`lower-*.f64`
768×	`lower-*.f32`
556×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	149
0	41	143
1	58	143
2	80	143
3	138	143
4	302	143
5	590	143
6	1040	143
7	1515	143
8	1836	143
9	2347	143
10	2623	143
11	2721	143
12	2766	143
13	2782	143
14	2782	143
0	2782	143

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize77.0ms (0.9%)

Memory

-7.8MiB live, 84.4MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64))
accuracy	0	(/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x)
accuracy	0	(+.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) #s(literal -1 binary64))
accuracy	38.795285478947314	#s(approx (/ (- x y) (- 2 (+ x y))) (+.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) #s(literal -1 binary64)))
accuracy	0	(-.f64 x y)
accuracy	0	(-.f64 #s(literal 2 binary64) y)
accuracy	0.0234375	(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)))
accuracy	24.171753645751952	#s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))
accuracy	0	(+.f64 y #s(literal -2 binary64))
accuracy	0.00390625	(/.f64 y (+.f64 y #s(literal -2 binary64)))
accuracy	31.325268575161008	#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 y #s(literal -2 binary64))))
accuracy	38.80640041805934	#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64))
accuracy	0	(+.f64 x y)
accuracy	0.00390625	(-.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 x y))))
accuracy	0.015625	(/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y)))
accuracy	0.01953125	(/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 x y)))

Samples

49.0ms

256×

valid

Compiler

Compiled 129 to 21 computations (83.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-mult: 16.0ms (44.1% of total)

ival-div: 11.0ms (30.3% of total)

ival-sub: 4.0ms (11% of total)

ival-add: 4.0ms (11% of total)

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

exact: 0.0ms (0% of total)

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

series25.0ms (0.3%)

Memory

25.6MiB live, 25.6MiB allocated

Counts

17 → 360

Calls

Call 1

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

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

Calls

90 calls:

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

simplify320.0ms (3.5%)

Memory

25.6MiB live, 521.5MiB allocated

Algorithm

1×	egg-herbie

Rules

10 034×	`lower-fma.f64`
10 034×	`lower-fma.f32`
4 366×	`lower-*.f64`
4 366×	`lower-*.f32`
3 766×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	560	5135
1	1771	4830
2	5504	4630
0	8470	4362

Stop Event

1×	iter limit
1×	node limit

Counts

360 → 349

Calls

Call 1

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

rewrite350.0ms (3.9%)

Memory

-30.4MiB live, 612.2MiB allocated

Rules

5 352×	`lower-/.f32`
5 342×	`lower-/.f64`
5 110×	`lower-*.f64`
5 110×	`lower-*.f32`
2 540×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	135
0	41	129
1	182	129
2	1591	129
0	8866	129

Stop Event

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

Counts

17 → 591

Calls

Call 1

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

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

eval336.0ms (3.7%)

Memory: 17.7MiB live, 377.7MiB allocated
Compiler: Compiled 24 670 to 2 352 computations (90.5% saved)

prune269.0ms (3%)

Memory

-19.1MiB live, 340.7MiB allocated

Pruning

17 alts after pruning (12 fresh and 5 done)

	Pruned	Kept	Total
New	1 043	7	1 050
Fresh	3	5	8
Picked	1	4	5
Done	0	1	1
Total	1 047	17	1 064

Accuracy

100.0%

Counts

1 064 → 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)))
✓	62.3%	(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)))
▶	36.8%	(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 y)))
	39.6%	(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x)))
▶	27.7%	(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64))))
▶	89.3%	(/.f64 #s(approx (- x y) (fma.f64 y (/.f64 x y) (neg.f64 y))) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
	51.3%	(/.f64 #s(approx (- x y) (neg.f64 y)) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
✓	100.0%	(-.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 x y))))
✓	51.0%	#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 y #s(literal -2 binary64))))
	50.4%	#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x)))
	51.0%	#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal -2 binary64)) y)))
	36.8%	#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)))
	39.8%	#s(approx (/ (- x y) (- 2 (+ x y))) (+.f64 (/.f64 #s(approx (+ (* y 2) -2) (*.f64 y #s(literal 2 binary64))) x) #s(literal -1 binary64)))
▶	16.6%	#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)))))
	16.9%	#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ y -2)) (*.f64 y #s(literal -1/2 binary64))))
▶	36.3%	#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ y -2)) #s(literal 1 binary64)))
✓	39.4%	#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64))

Compiler

Compiled 282 to 171 computations (39.4% saved)

simplify269.0ms (3%)

Memory

6.6MiB live, 180.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Rules

3 832×	`lower-fma.f32`
3 828×	`lower-fma.f64`
2 464×	`lower-*.f32`
2 462×	`lower-*.f64`
1 558×	`div-sub`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	33	187
0	48	183
1	84	183
2	123	183
3	198	175
4	374	175
5	720	175
6	2102	175
7	4233	175
8	5382	175
9	5736	175
10	5942	175
11	6015	175
12	6079	175
13	6817	175
14	7411	175
15	7715	175
16	7733	175
17	7832	175
18	7890	175
19	7930	175
0	8042	175

Stop Event

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

Calls

Call 1

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

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

localize127.0ms (1.4%)

Memory

-16.7MiB live, 102.3MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 x y)
accuracy	0	(neg.f64 y)
accuracy	0.0234375	(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 y)))
accuracy	40.40551677235898	#s(approx (- 2 (+ x y)) (neg.f64 y))
accuracy	0	(-.f64 x y)
accuracy	0.0234375	(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64))))
accuracy	24.171753645751952	#s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))
accuracy	30.75974501187258	#s(approx (- 2 y) #s(literal 2 binary64))
accuracy	0	(fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64))
accuracy	0.0078125	(*.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64)))
accuracy	31.309126257907444	#s(approx (/ y (+ y -2)) (*.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64))))
accuracy	31.325268575161008	#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)))))
accuracy	31.325268575161008	#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ y -2)) #s(literal 1 binary64)))
accuracy	31.73231676298306	#s(approx (/ y (+ y -2)) #s(literal 1 binary64))
accuracy	0	(neg.f64 y)
accuracy	0	#s(approx (- x y) (fma.f64 y (/.f64 x y) (neg.f64 y)))
accuracy	0.0234375	(/.f64 #s(approx (- x y) (fma.f64 y (/.f64 x y) (neg.f64 y))) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
accuracy	6.593123356249508	(fma.f64 y (/.f64 x y) (neg.f64 y))

Samples

66.0ms

256×

valid

Compiler

Compiled 126 to 23 computations (81.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-add: 22.0ms (60.6% of total)

ival-div: 5.0ms (13.8% of total)

ival-sub: 4.0ms (11% of total)

ival-mult: 4.0ms (11% of total)

exact: 1.0ms (2.8% of total)

ival-neg: 1.0ms (2.8% of total)

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

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

series17.0ms (0.2%)

Memory

27.6MiB live, 27.6MiB allocated

Counts

17 → 336

Calls

Call 1

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

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

Calls

84 calls:

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

simplify321.0ms (3.5%)

Memory

4.6MiB live, 444.8MiB allocated

Algorithm

1×	egg-herbie

Rules

12 840×	`lower-fma.f64`
12 840×	`lower-fma.f32`
4 894×	`lower-*.f64`
4 894×	`lower-*.f32`
2 802×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	230	3939
1	678	3731
2	2115	3403
0	8520	3203

Stop Event

1×	iter limit
1×	node limit

Counts

336 → 327

Calls

Call 1

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

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

rewrite268.0ms (3%)

Memory

3.4MiB live, 429.2MiB allocated

Rules

5 332×	`lower-/.f32`
5 324×	`lower-/.f64`
4 100×	`lower-fma.f32`
4 096×	`lower-fma.f64`
3 764×	`lower-*.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	33	162
0	48	162
1	196	162
2	1430	156
0	8318	156

Stop Event

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

Counts

17 → 499

Calls

Call 1

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

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

eval124.0ms (1.4%)

Memory: 15.5MiB live, 245.3MiB allocated
Compiler: Compiled 18 481 to 1 693 computations (90.8% saved)

prune159.0ms (1.8%)

Memory

-17.9MiB live, 224.6MiB allocated

Pruning

18 alts after pruning (8 fresh and 10 done)

	Pruned	Kept	Total
New	929	3	932
Fresh	2	5	7
Picked	0	5	5
Done	0	5	5
Total	931	18	949

Accuracy

100.0%

Counts

949 → 18

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)))
✓	62.3%	(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)))
✓	36.8%	(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 y)))
▶	39.6%	(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x)))
✓	27.7%	(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64))))
✓	89.3%	(/.f64 #s(approx (- x y) (fma.f64 y (/.f64 x y) (neg.f64 y))) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
▶	51.3%	(/.f64 #s(approx (- x y) (neg.f64 y)) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
✓	100.0%	(-.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 x y))))
✓	51.0%	#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 y #s(literal -2 binary64))))
▶	50.4%	#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x)))
▶	36.8%	#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)))
	39.8%	#s(approx (/ (- x y) (- 2 (+ x y))) (+.f64 (/.f64 #s(approx (+ (* y 2) -2) (*.f64 y #s(literal 2 binary64))) x) #s(literal -1 binary64)))
	16.6%	#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ y -2)) (fma.f64 (.f64 y y) #s(literal -1/4 binary64) (.f64 y #s(literal -1/2 binary64)))))
✓	16.6%	#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)))))
	3.4%	#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ y -2)) (.f64 y #s(approx (+ ( y -1/4) -1/2) (*.f64 y #s(literal -1/4 binary64))))))
▶	16.9%	#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ y -2)) (.f64 y #s(approx (+ ( y -1/4) -1/2) #s(literal -1/2 binary64)))))
✓	36.3%	#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ y -2)) #s(literal 1 binary64)))
✓	39.4%	#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64))

Compiler

Compiled 259 to 153 computations (40.9% saved)

simplify138.0ms (1.5%)

Memory

-1.3MiB live, 75.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Rules

1 776×	`lower-fma.f32`
1 774×	`lower-fma.f64`
960×	`lower-*.f32`
958×	`lower-*.f64`
632×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	182
0	50	182
1	77	182
2	106	182
3	170	182
4	339	182
5	547	182
6	1177	182
7	2494	182
8	3106	182
9	3417	182
10	3514	182
11	3715	182
12	3725	182
13	3729	182
14	3731	182
0	3731	178

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

localize97.0ms (1.1%)

Memory

-4.3MiB live, 110.6MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64))
accuracy	0	(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y))
accuracy	0.01171875	(/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y)
accuracy	40.47733915495106	#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	(neg.f64 x)
accuracy	0.0234375	(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x)))
accuracy	38.604569191617195	#s(approx (- 2 (+ x y)) (neg.f64 x))
accuracy	0	(/.f64 x (-.f64 #s(literal 2 binary64) x))
accuracy	0	(-.f64 #s(literal 2 binary64) x)
accuracy	31.736129609016626	#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x)))
accuracy	0.0078125	(.f64 y #s(approx (+ ( y -1/4) -1/2) #s(literal -1/2 binary64)))
accuracy	30.785339523460866	#s(approx (+ (* y -1/4) -1/2) #s(literal -1/2 binary64))
accuracy	31.309126257907444	#s(approx (/ y (+ y -2)) (.f64 y #s(approx (+ ( y -1/4) -1/2) #s(literal -1/2 binary64))))
accuracy	31.325268575161008	#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ y -2)) (.f64 y #s(approx (+ ( y -1/4) -1/2) #s(literal -1/2 binary64)))))
accuracy	0	(+.f64 x y)
accuracy	0	(neg.f64 y)
accuracy	0.0234375	(/.f64 #s(approx (- x y) (neg.f64 y)) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
accuracy	31.369101713581365	#s(approx (- x y) (neg.f64 y))

Samples

56.0ms

256×

valid

Compiler

Compiled 130 to 26 computations (80% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-div: 6.0ms (25.3% of total)

ival-add: 6.0ms (25.3% of total)

ival-sub: 5.0ms (21.1% of total)

ival-mult: 4.0ms (16.9% of total)

ival-neg: 2.0ms (8.4% of total)

exact: 1.0ms (4.2% of total)

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

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

series17.0ms (0.2%)

Memory

34.0MiB live, 34.0MiB allocated

Counts

20 → 384

Calls

Call 1

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

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

96 calls:

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

simplify301.0ms (3.3%)

Memory

-30.8MiB live, 418.8MiB allocated

Algorithm

1×	egg-herbie

Rules

11 486×	`lower-fma.f64`
11 486×	`lower-fma.f32`
4 474×	`lower-*.f64`
4 474×	`lower-*.f32`
4 412×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	308	4559
1	936	4300
2	2781	3961
0	8683	3727

Stop Event

1×	iter limit
1×	node limit

Counts

384 → 372

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

rewrite639.0ms (7%)

Memory

-10.6MiB live, 359.1MiB allocated

Rules

5 108×	`lower-/.f32`
5 100×	`lower-/.f64`
4 554×	`lower-*.f32`
4 552×	`lower-*.f64`
2 820×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	168
0	50	168
1	198	168
2	1469	168
0	8321	164

Stop Event

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

Counts

20 → 419

Calls

Call 1

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

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

eval100.0ms (1.1%)

Memory: 28.5MiB live, 219.9MiB allocated
Compiler: Compiled 14 313 to 1 547 computations (89.2% saved)

prune157.0ms (1.7%)

Memory

-13.4MiB live, 184.2MiB allocated

Pruning

18 alts after pruning (5 fresh and 13 done)

	Pruned	Kept	Total
New	788	3	791
Fresh	1	2	3
Picked	2	3	5
Done	0	10	10
Total	791	18	809

Accuracy

100.0%

Counts

809 → 18

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)))
✓	62.3%	(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)))
✓	36.8%	(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 y)))
✓	39.6%	(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x)))
✓	27.7%	(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64))))
✓	89.3%	(/.f64 #s(approx (- x y) (fma.f64 y (/.f64 x y) (neg.f64 y))) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
✓	100.0%	(-.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 x y))))
✓	51.0%	#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 y #s(literal -2 binary64))))
✓	50.4%	#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x)))
	37.1%	#s(approx (/ (- x y) (- 2 (+ x y))) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* 2 x) -2) (+.f64 x x)) y)))
	39.8%	#s(approx (/ (- x y) (- 2 (+ x y))) (+.f64 (/.f64 #s(approx (+ (* y 2) -2) (*.f64 y #s(literal 2 binary64))) x) #s(literal -1 binary64)))
	16.6%	#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ y -2)) (fma.f64 (.f64 y y) #s(literal -1/4 binary64) (.f64 y #s(literal -1/2 binary64)))))
✓	16.6%	#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)))))
✓	16.9%	#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ y -2)) (.f64 y #s(approx (+ ( y -1/4) -1/2) #s(literal -1/2 binary64)))))
✓	36.3%	#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ y -2)) #s(literal 1 binary64)))
	13.1%	#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)))))
	13.7%	#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 x #s(literal 1/2 binary64))))
✓	39.4%	#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64))

Compiler

Compiled 387 to 162 computations (58.1% saved)

regimes44.0ms (0.5%)

Memory

-0.6MiB live, 39.9MiB allocated

Counts

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

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

Calls

3 calls:

26.0ms	y
8.0ms	x
7.0ms	(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))

Results

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

Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes28.0ms (0.3%)

Memory

29.0MiB live, 63.5MiB 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 (/ y (+ y -2)) #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 (/ y (+ y -2)) (*.f64 y #s(literal -1/2 binary64))))
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ y -2)) (.f64 y #s(approx (+ ( y -1/4) -1/2) #s(literal -1/2 binary64)))))
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ y -2)) (.f64 y #s(approx (+ ( y -1/4) -1/2) (*.f64 y #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)))))
#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))))
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ y -2)) (fma.f64 (.f64 y y) #s(literal -1/4 binary64) (.f64 y #s(literal -1/2 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)))
#s(approx (/ (- x y) (- 2 (+ x y))) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* 2 x) -2) (+.f64 x x)) y)))
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)))
#s(approx (/ (- x y) (- 2 (+ x y))) (+.f64 (/.f64 #s(approx (+ (* y 2) -2) (*.f64 y #s(literal 2 binary64))) x) #s(literal -1 binary64)))
(/.f64 #s(approx (- x y) (neg.f64 y)) (-.f64 #s(literal 2 binary64) (+.f64 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 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) #s(literal -1 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 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal -2 binary64)) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 x y)))
(/.f64 #s(approx (- x y) (fma.f64 y (/.f64 x y) (neg.f64 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:

12.0ms	y
8.0ms	x
7.0ms	(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))

Results

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

Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes29.0ms (0.3%)

Memory

-15.7MiB live, 52.8MiB allocated

Counts

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

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:

10.0ms	x
7.0ms	y
6.0ms	(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))

Results

Accuracy	Segments	Branch
87.0%	3	`x`
75.4%	3	`y`
99.0%	2	`(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))`

Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes6.0ms (0.1%)

Memory

14.3MiB live, 14.3MiB allocated

Counts

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

5.0ms

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

Results

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

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes4.0ms (0%)

Memory

12.0MiB live, 12.0MiB allocated

Counts

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

Calls

1 calls:

4.0ms

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

Results

Accuracy	Segments	Branch
88.1%	2	`(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes12.0ms (0.1%)

Memory

-62.8MiB live, 4.6MiB allocated

Counts

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

Calls

1 calls:

11.0ms

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

Results

Accuracy	Segments	Branch
87.7%	3	`(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes4.0ms (0%)

Memory

2.4MiB live, 2.4MiB allocated

Counts

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

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(literal 1 binary64))

Calls

1 calls:

3.0ms

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

Results

Accuracy	Segments	Branch
87.1%	3	`(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes7.0ms (0.1%)

Memory

4.4MiB live, 4.4MiB allocated

Counts

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
61.2%	3	`x`
86.9%	3	`(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))`

Compiler

Compiled 14 to 9 computations (35.7% saved)

regimes2.0ms (0%)

Memory

1.7MiB live, 1.7MiB 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 (/ y (+ y -2)) #s(literal 1 binary64)))
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 x #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
83.4%	3	`(/.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

1.6MiB live, 1.6MiB allocated

Counts

3 → 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 (/ y (+ y -2)) #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

1 calls:

2.0ms

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

Results

Accuracy	Segments	Branch
74.0%	2	`(/.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

4.2MiB live, 4.2MiB 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:

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

Results

Accuracy	Segments	Branch
39.4%	1	`x`
39.4%	1	`y`
39.4%	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

0.1MiB live, 0.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.08955800720936873	-0.00014193086457092076

Compiler

Compiled 14 to 12 computations (14.3% saved)

bsearch0.0ms (0%)

Memory

0.1MiB live, 0.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.420057945512425e-9	0.009772568836542006
0.0ms	-0.08955800720936873	-0.00014193086457092076

Compiler

Compiled 14 to 12 computations (14.3% saved)

bsearch0.0ms (0%)

Memory

0.1MiB live, 0.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.08955800720936873	-0.00014193086457092076

Compiler

Compiled 14 to 12 computations (14.3% saved)

bsearch0.0ms (0%)

Memory

0.1MiB live, 0.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.009772568836542006	0.9999999999847777
0.0ms	-0.08955800720936873	-0.00014193086457092076

Compiler

Compiled 14 to 12 computations (14.3% saved)

bsearch0.0ms (0%)

Memory

0.1MiB live, 0.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.009772568836542006	0.9999999999847777
0.0ms	-0.08955800720936873	-0.00014193086457092076

Compiler

Compiled 14 to 12 computations (14.3% saved)

bsearch0.0ms (0%)

Memory

0.1MiB live, 0.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.6288703986180233e-19	9.575558645653895e-14
0.0ms	-0.08955800720936873	-0.00014193086457092076

Compiler

Compiled 14 to 12 computations (14.3% saved)

bsearch0.0ms (0%)

Memory

0.1MiB live, 0.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.420057945512425e-9	0.009772568836542006
0.0ms	-5.518107895965929e-20	-1.5583407576264092e-21

Compiler

Compiled 14 to 12 computations (14.3% saved)

bsearch10.0ms (0.1%)

Memory

6.9MiB live, 6.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	-9.38467409701488e-262	4.637811880474514e-297

Samples

3.0ms

192×

valid

Compiler

Compiled 134 to 108 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)

simplify32.0ms (0.4%)

Memory

-9.7MiB live, 27.8MiB allocated

Algorithm

1×	egg-herbie

Rules

208×	`distribute-lft-neg-in_binary64`
172×	`unsub-neg_binary64`
136×	`neg-mul-1_binary64`
118×	`neg-sub0_binary64`
102×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	73	490
1	90	490
2	108	490
3	124	490
4	149	490
5	190	490
6	258	490
7	345	490
8	473	490
9	603	490
10	704	490
11	768	490
12	789	490
13	791	490

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 x y))))
(/.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 -3602879701896397/72057594037927936 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 -3602879701896397/72057594037927936 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 3022314549036573/604462909807314587353088 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 -3602879701896397/72057594037927936 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)))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -3602879701896397/72057594037927936 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 5764607523034235/576460752303423488 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(literal 1 binary64))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -3602879701896397/72057594037927936 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 5764607523034235/576460752303423488 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(literal 1 binary64))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -3602879701896397/72057594037927936 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 2076918743413931/10384593717069655257060992658440192 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(literal 1 binary64))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -2076918743413931/41538374868278621028243970633760768 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 3022314549036573/604462909807314587353088 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 -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 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 (-.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 (+.f64 x y) #s(literal 2 binary64))))
(/.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 -3602879701896397/72057594037927936 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 -3602879701896397/72057594037927936 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 3022314549036573/604462909807314587353088 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 -3602879701896397/72057594037927936 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)))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -3602879701896397/72057594037927936 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 5764607523034235/576460752303423488 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(literal 1 binary64))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -3602879701896397/72057594037927936 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 5764607523034235/576460752303423488 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(literal 1 binary64))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -3602879701896397/72057594037927936 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 2076918743413931/10384593717069655257060992658440192 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(literal 1 binary64))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -2076918743413931/41538374868278621028243970633760768 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 3022314549036573/604462909807314587353088 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 -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 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))

soundness1.3s (14.2%)

Memory

25.0MiB live, 819.2MiB allocated

Rules

12 038×	`lower-fma.f64`
12 038×	`lower-fma.f32`
11 486×	`lower-fma.f64`
11 486×	`lower-fma.f32`
10 034×	`lower-fma.f64`

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
0	308	4559
1	936	4300
2	2781	3961
0	8683	3727
0	186	985
1	571	921
2	1809	857
3	7607	851
0	8573	806
0	560	5135
1	1771	4830
2	5504	4630
0	8470	4362

Stop Event

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

Compiler

Compiled 439 to 167 computations (62% saved)

preprocess287.0ms (3.2%)

Memory: -5.1MiB live, 154.8MiB allocated
Compiler: Compiled 614 to 134 computations (78.2% 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	73	490
1	90	490
2	108	490
3	124	490
4	149	490
5	190	490
6	258	490
7	345	490
8	473	490
9	603	490
10	704	490
11	768	490
12	789	490
13	791	490

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	73	490
1	90	490
2	108	490
3	124	490
4	149	490
5	190	490
6	258	490
7	345	490
8	473	490
9	603	490
10	704	490
11	768	490
12	789	490
13	791	490

start0.0ms (0%)

analyze16.0ms (0.2%)

sample767.0ms (8.5%)

explain144.0ms (1.6%)

preprocess100.0ms (1.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify46.0ms (0.5%)

localize19.0ms (0.2%)

series38.0ms (0.4%)

simplify329.0ms (3.6%)

rewrite1.0s (11.5%)

eval348.0ms (3.8%)

prune199.0ms (2.2%)

simplify145.0ms (1.6%)

localize77.0ms (0.9%)

series25.0ms (0.3%)

simplify320.0ms (3.5%)

rewrite350.0ms (3.9%)

eval336.0ms (3.7%)

prune269.0ms (3%)

simplify269.0ms (3%)

localize127.0ms (1.4%)

series17.0ms (0.2%)

simplify321.0ms (3.5%)

rewrite268.0ms (3%)

eval124.0ms (1.4%)

prune159.0ms (1.8%)

simplify138.0ms (1.5%)

localize97.0ms (1.1%)

series17.0ms (0.2%)

simplify301.0ms (3.3%)

rewrite639.0ms (7%)

eval100.0ms (1.1%)

prune157.0ms (1.7%)

regimes44.0ms (0.5%)

regimes28.0ms (0.3%)

regimes29.0ms (0.3%)

regimes6.0ms (0.1%)

regimes4.0ms (0%)

regimes12.0ms (0.1%)

regimes4.0ms (0%)

regimes7.0ms (0.1%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes4.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch10.0ms (0.1%)

simplify32.0ms (0.4%)

soundness1.3s (14.2%)

preprocess287.0ms (3.2%)

end0.0ms (0%)

Profiling

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

Iter	Nodes	Cost
0	73	490
1	90	490
2	108	490
3	124	490
4	149	490
5	190	490
6	258	490
7	345	490
8	473	490
9	603	490
10	704	490
11	768	490
12	789	490
13	791	490