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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze15.0ms (0.4%)

Memory

6.5MiB live, 6.5MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
25%	25%	74.9%	0.1%	0%	0%	0%	3
37.5%	37.5%	62.4%	0.1%	0%	0%	0%	4
56.3%	56.2%	43.7%	0.1%	0%	0%	0%	5
65.6%	65.6%	34.3%	0.1%	0%	0%	0%	6
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)

sample518.0ms (14.2%)

Memory

200.8MiB live, 200.8MiB allocated

Samples

311.0ms	8 253×	0	valid
0.0ms	3×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 169.0ms

ival-sub: 74.0ms (43.7% of total)

ival-div: 47.0ms (27.7% of total)

ival-add: 35.0ms (20.7% of total)

ival-true: 6.0ms (3.5% of total)

exact: 5.0ms (3% of total)

ival-assert: 3.0ms (1.8% of total)

adjust: 0.0ms (0% of total)

Bogosity

explain90.0ms (2.5%)

Memory

47.8MiB live, 47.8MiB 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 128 to 52 computations (59.4% saved)

Precisions

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

ival-sub: 4.0ms (36.5% of total)

ival-div: 3.0ms (27.4% of total)

ival-add: 3.0ms (27.4% of total)

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

exact: 0.0ms (0% of total)

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

preprocess77.0ms (2.1%)

Memory

7.3MiB live, 7.3MiB allocated

Algorithm

1×	egg-herbie

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify23.0ms (0.6%)

Memory

2.0MiB live, 2.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

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

localize16.0ms (0.4%)

Memory

7.7MiB live, 7.7MiB allocated

Localize:

Found 4 expressions of interest:

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

Samples

11.0ms

256×

valid

Compiler

Compiled 48 to 16 computations (66.7% saved)

Precisions

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

ival-sub: 2.0ms (37.8% of total)

ival-div: 1.0ms (18.9% of total)

ival-add: 1.0ms (18.9% of total)

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

exact: 0.0ms (0% of total)

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

series6.0ms (0.2%)

Memory

2.6MiB live, 2.6MiB 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 (/ 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 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 (- 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 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 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 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 #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 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 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 -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 (* -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 -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>) () ())) ())
#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 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 (- 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 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 -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 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 (* -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 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 -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 (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 (* -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 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>) () ())) ())

Calls

6 calls:

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

simplify132.0ms (3.6%)

Memory

41.5MiB live, 41.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	186	985
1	571	921
2	1809	857
3	7619	851
0	8589	806

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 87

Calls

Call 1

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

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

rewrite133.0ms (3.7%)

Memory

49.7MiB live, 49.7MiB allocated

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
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eval67.0ms (1.9%)

Memory: 61.7MiB live, 61.7MiB allocated
Compiler: Compiled 16 977 to 1 879 computations (88.9% saved)

prune15.0ms (0.4%)

Memory

32.1MiB live, 32.1MiB allocated

Pruning

11 alts after pruning (10 fresh and 1 done)

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

Accuracy

100.0%

Counts

695 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
▶	59.4%	(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)))
	32.5%	(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 y)))
▶	41.2%	(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x)))
▶	100.0%	(-.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 y x))) (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 y x))))
	46.0%	#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 #s(literal -2 binary64) y)))
▶	56.0%	#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x)))
	41.4%	#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)))
	32.5%	#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)))
	32.3%	#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64))
▶	41.0%	#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64))

Compiler

Compiled 151 to 137 computations (9.3% saved)

simplify46.0ms (1.3%)

Memory

3.8MiB live, 3.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	135
0	36	129
1	63	129
2	92	129
3	161	129
4	336	129
5	665	129
6	1229	129
7	1765	129
8	1851	129
9	1873	129
10	1886	129
0	1886	129

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize38.0ms (1.1%)

Memory

19.5MiB live, 19.5MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 x y)
accuracy	0	(-.f64 #s(literal 2 binary64) y)
accuracy	0.01953125	(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)))
accuracy	26.013845425928277	#s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))
accuracy	0	(-.f64 x y)
accuracy	0	(neg.f64 x)
accuracy	0.01953125	(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x)))
accuracy	37.53625570721814	#s(approx (- 2 (+ x y)) (neg.f64 x))
accuracy	0	(-.f64 #s(literal 2 binary64) x)
accuracy	0.00390625	(/.f64 x (-.f64 #s(literal 2 binary64) x))
accuracy	28.146991690538602	#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x)))
accuracy	37.74693931648088	#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64))
accuracy	0	(+.f64 y x)
accuracy	0.0078125	(/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 y x)))
accuracy	0.01171875	(/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 y x)))
accuracy	0.015625	(-.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 y x))) (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 y x))))

Samples

27.0ms

256×

valid

Compiler

Compiled 212 to 39 computations (81.6% saved)

Precisions

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

ival-div: 6.0ms (38.7% of total)

ival-sub: 6.0ms (38.7% of total)

ival-add: 2.0ms (12.9% of total)

ival-neg: 1.0ms (6.5% of total)

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

exact: 0.0ms (0% of total)

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

series16.0ms (0.5%)

Memory

7.6MiB live, 7.6MiB allocated

Counts

16 → 336

Calls

Call 1

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

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

Calls

6 calls:

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

simplify137.0ms (3.8%)

Memory

45.2MiB live, 45.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	533	4863
1	1718	4522
2	5347	4344
0	8429	4114

Stop Event

1×	iter limit
1×	node limit

Counts

336 → 327

Calls

Call 1

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

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

rewrite152.0ms (4.2%)

Memory

57.3MiB live, 57.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	121
0	36	115
1	189	115
2	1549	115
0	8942	115

Stop Event

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

Counts

16 → 624

Calls

Call 1

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

Outputs
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eval155.0ms (4.3%)

Memory: 104.2MiB live, 104.2MiB allocated
Compiler: Compiled 25 345 to 2 811 computations (88.9% saved)

prune43.0ms (1.2%)

Memory

49.4MiB live, 49.4MiB allocated

Pruning

13 alts after pruning (8 fresh and 5 done)

	Pruned	Kept	Total
New	1 145	4	1 149
Fresh	1	4	5
Picked	1	4	5
Done	0	1	1
Total	1 147	13	1 160

Accuracy

100.0%

Counts

1 160 → 13

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)))
▶	32.5%	(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 y)))
✓	41.2%	(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x)))
	29.0%	(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64))))
✓	100.0%	(-.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 y x))) (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 y x))))
▶	46.0%	#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (-.f64 y #s(literal 2 binary64))))
✓	56.0%	#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x)))
▶	41.4%	#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)))
	32.5%	#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)))
▶	15.9%	#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x)))
	16.4%	#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(literal 1/2 binary64) x)))
▶	32.3%	#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64))
✓	41.0%	#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64))

Compiler

Compiled 145 to 141 computations (2.8% saved)

simplify111.0ms (3.1%)

Memory

6.9MiB live, 6.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	152
0	41	152
1	68	152
2	100	152
3	158	152
4	319	152
5	501	152
6	988	152
7	1891	152
8	2210	152
9	2587	152
10	3052	152
11	3489	152
12	3558	152
13	3599	152
14	3615	152
15	3617	152
0	3617	152

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

localize58.0ms (1.6%)

Memory

22.0MiB live, 22.0MiB 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 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) #s(literal 1 binary64))
accuracy	0.0078125	(/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x)
accuracy	37.51493783455289	#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	(neg.f64 y)
accuracy	0.01953125	(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 y)))
accuracy	43.083109409923246	#s(approx (- 2 (+ x y)) (neg.f64 y))
accuracy	0	(fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64))
accuracy	0.00390625	(*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x)
accuracy	28.146991690538602	#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x)))
accuracy	32.303976981475735	#s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x))
accuracy	43.30928781497624	#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64))
accuracy	0	(/.f64 y (-.f64 y #s(literal 2 binary64)))
accuracy	0	(-.f64 y #s(literal 2 binary64))
accuracy	34.590397242202556	#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (-.f64 y #s(literal 2 binary64))))

Samples

40.0ms

256×

valid

Compiler

Compiled 212 to 48 computations (77.4% saved)

Precisions

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

ival-div: 7.0ms (28.1% of total)

ival-sub: 7.0ms (28.1% of total)

ival-mult: 5.0ms (20.1% of total)

ival-add: 4.0ms (16.1% of total)

exact: 1.0ms (4% of total)

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

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

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

series20.0ms (0.5%)

Memory

8.1MiB live, 8.1MiB allocated

Counts

16 → 300

Calls

Call 1

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

Outputs
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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 #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 -1 (taylor -inf x) (#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 (- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) (taylor -inf x) (#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 (- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) (taylor -inf x) (#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 (- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) (taylor -inf x) (#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 (/ (- (* 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>) () ())) ())

Calls

6 calls:

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

simplify147.0ms (4%)

Memory

47.3MiB live, 47.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	292	4028
1	873	3818
2	2543	3486
0	8378	3260

Stop Event

1×	iter limit
1×	node limit

Counts

300 → 295

Calls

Call 1

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

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

rewrite139.0ms (3.8%)

Memory

50.3MiB live, 50.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	139
0	41	139
1	183	139
2	1398	139
0	8549	139

Stop Event

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

Counts

16 → 364

Calls

Call 1

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

Outputs
#<batchref>
#<batchref>
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eval90.0ms (2.5%)

Memory: 61.2MiB live, 61.2MiB allocated
Compiler: Compiled 11 462 to 1 757 computations (84.7% saved)

prune32.0ms (0.9%)

Memory

32.2MiB live, 32.2MiB allocated

Pruning

15 alts after pruning (6 fresh and 9 done)

	Pruned	Kept	Total
New	655	4	659
Fresh	1	2	3
Picked	1	4	5
Done	0	5	5
Total	657	15	672

Accuracy

100.0%

Counts

672 → 15

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)))
✓	32.5%	(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 y)))
✓	41.2%	(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x)))
▶	29.0%	(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64))))
✓	100.0%	(-.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 y x))) (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 y x))))
✓	46.0%	#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (-.f64 y #s(literal 2 binary64))))
✓	56.0%	#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x)))
▶	41.5%	#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)))
	32.5%	#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)))
▶	15.5%	#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (- y 2)) (*.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y)))
▶	16.0%	#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (- y 2)) (*.f64 #s(literal -1/2 binary64) y)))
✓	15.9%	#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x)))
▶	16.4%	#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (.f64 #s(approx (+ ( 1/4 x) 1/2) #s(literal 1/2 binary64)) x)))
✓	32.3%	#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64))
✓	41.0%	#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64))

Compiler

Compiled 150 to 147 computations (2% saved)

simplify87.0ms (2.4%)

Memory

6.2MiB live, 6.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	238
0	52	238
1	83	238
2	111	238
3	159	238
4	277	238
5	461	238
6	1009	238
7	2023	238
8	2344	238
9	2584	238
10	2731	238
11	2795	238
12	2811	238
13	2829	238
14	2841	238
0	2841	230

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize68.0ms (1.9%)

Memory

26.6MiB live, 26.6MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 x y)
accuracy	0.01953125	(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64))))
accuracy	26.013845425928277	#s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))
accuracy	27.680946304447684	#s(approx (- 2 y) #s(literal 2 binary64))
accuracy	0	(fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64))
accuracy	0	(*.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y)
accuracy	28.245500805034887	#s(approx (/ y (- y 2)) (*.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y))
accuracy	34.590397242202556	#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (- y 2)) (*.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y)))
accuracy	0	(*.f64 #s(literal -1/2 binary64) y)
accuracy	27.674017380075416	#s(approx (/ y (- y 2)) (*.f64 #s(literal -1/2 binary64) y))
accuracy	34.590397242202556	#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (- y 2)) (*.f64 #s(literal -1/2 binary64) y)))
accuracy	0.00390625	(.f64 #s(approx (+ ( 1/4 x) 1/2) #s(literal 1/2 binary64)) x)
accuracy	28.146991690538602	#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (.f64 #s(approx (+ ( 1/4 x) 1/2) #s(literal 1/2 binary64)) x)))
accuracy	32.042908800477115	#s(approx (+ (* 1/4 x) 1/2) #s(literal 1/2 binary64))
accuracy	32.303976981475735	#s(approx (/ x (- 2 x)) (.f64 #s(approx (+ ( 1/4 x) 1/2) #s(literal 1/2 binary64)) x))
accuracy	0	(*.f64 y #s(literal 2 binary64))
accuracy	0.0078125	(/.f64 #s(approx (+ (* y 2) -2) (*.f64 y #s(literal 2 binary64))) x)
accuracy	34.96450819808044	#s(approx (+ (* y 2) -2) (*.f64 y #s(literal 2 binary64)))
accuracy	37.51493783455289	#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)))

Samples

47.0ms

256×

valid

Compiler

Compiled 251 to 58 computations (76.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-mult: 9.0ms (29.7% of total)

ival-sub: 8.0ms (26.4% of total)

ival-div: 7.0ms (23.1% of total)

ival-add: 5.0ms (16.5% of total)

exact: 1.0ms (3.3% of total)

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

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

series23.0ms (0.6%)

Memory

9.8MiB live, 9.8MiB allocated

Counts

20 → 348

Calls

Call 1

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

Outputs
#s(alt (/ x (- 2 x)) (taylor 0 y) (#s(alt #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))) (patch #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))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 2 (+ x y))) (-.f64 (/.f64 #s(approx (+ (* y 2) -2) (.f64 y #s(literal 2 binary64))) x) #s(literal 1 binary64))) (patch #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))) #<representation binary64>) () ())) ())
#s(alt (+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 2 (+ x y))) (-.f64 (/.f64 #s(approx (+ (* y 2) -2) (.f64 y #s(literal 2 binary64))) x) #s(literal 1 binary64))) (patch #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))) #<representation binary64>) () ())) ())
#s(alt (+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 2 (+ x y))) (-.f64 (/.f64 #s(approx (+ (* y 2) -2) (.f64 y #s(literal 2 binary64))) x) #s(literal 1 binary64))) (patch #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))) #<representation binary64>) () ())) ())
#s(alt (* -1 (+ 1 (* 2 (/ 1 x)))) (taylor 0 y) (#s(alt (-.f64 (/.f64 #s(approx (+ (* y 2) -2) (.f64 y #s(literal 2 binary64))) x) #s(literal 1 binary64)) (patch (-.f64 (/.f64 #s(approx (+ ( y 2) -2) (*.f64 y #s(literal 2 binary64))) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) (taylor 0 y) (#s(alt (-.f64 (/.f64 #s(approx (+ (* y 2) -2) (.f64 y #s(literal 2 binary64))) x) #s(literal 1 binary64)) (patch (-.f64 (/.f64 #s(approx (+ ( y 2) -2) (*.f64 y #s(literal 2 binary64))) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) (taylor 0 y) (#s(alt (-.f64 (/.f64 #s(approx (+ (* y 2) -2) (.f64 y #s(literal 2 binary64))) x) #s(literal 1 binary64)) (patch (-.f64 (/.f64 #s(approx (+ ( y 2) -2) (*.f64 y #s(literal 2 binary64))) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) (taylor 0 y) (#s(alt (-.f64 (/.f64 #s(approx (+ (* y 2) -2) (.f64 y #s(literal 2 binary64))) x) #s(literal 1 binary64)) (patch (-.f64 (/.f64 #s(approx (+ ( y 2) -2) (*.f64 y #s(literal 2 binary64))) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ -2 x) (taylor 0 y) (#s(alt (/.f64 #s(approx (+ (* y 2) -2) (.f64 y #s(literal 2 binary64))) x) (patch (/.f64 #s(approx (+ ( y 2) -2) (*.f64 y #s(literal 2 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (- (* 2 (/ y x)) (* 2 (/ 1 x))) (taylor 0 y) (#s(alt (/.f64 #s(approx (+ (* y 2) -2) (.f64 y #s(literal 2 binary64))) x) (patch (/.f64 #s(approx (+ ( y 2) -2) (*.f64 y #s(literal 2 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (- (* 2 (/ y x)) (* 2 (/ 1 x))) (taylor 0 y) (#s(alt (/.f64 #s(approx (+ (* y 2) -2) (.f64 y #s(literal 2 binary64))) x) (patch (/.f64 #s(approx (+ ( y 2) -2) (*.f64 y #s(literal 2 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (- (* 2 (/ y x)) (* 2 (/ 1 x))) (taylor 0 y) (#s(alt (/.f64 #s(approx (+ (* y 2) -2) (.f64 y #s(literal 2 binary64))) x) (patch (/.f64 #s(approx (+ ( y 2) -2) (*.f64 y #s(literal 2 binary64))) x) #<representation binary64>) () ())) ())
#s(alt -2 (taylor 0 y) (#s(alt #s(approx (+ (* y 2) -2) (.f64 y #s(literal 2 binary64))) (patch #s(approx (+ ( y 2) -2) (*.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* 2 y) 2) (taylor 0 y) (#s(alt #s(approx (+ (* y 2) -2) (.f64 y #s(literal 2 binary64))) (patch #s(approx (+ ( y 2) -2) (*.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* 2 y) 2) (taylor 0 y) (#s(alt #s(approx (+ (* y 2) -2) (.f64 y #s(literal 2 binary64))) (patch #s(approx (+ ( y 2) -2) (*.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* 2 y) 2) (taylor 0 y) (#s(alt #s(approx (+ (* y 2) -2) (.f64 y #s(literal 2 binary64))) (patch #s(approx (+ ( y 2) -2) (*.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ x (- 2 x)) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (.f64 #s(approx (+ ( 1/4 x) 1/2) #s(literal 1/2 binary64)) x))) (patch #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (.f64 #s(approx (+ ( 1/4 x) 1/2) #s(literal 1/2 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (.f64 #s(approx (+ ( 1/4 x) 1/2) #s(literal 1/2 binary64)) x))) (patch #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (.f64 #s(approx (+ ( 1/4 x) 1/2) #s(literal 1/2 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt (+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (.f64 #s(approx (+ ( 1/4 x) 1/2) #s(literal 1/2 binary64)) x))) (patch #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (.f64 #s(approx (+ ( 1/4 x) 1/2) #s(literal 1/2 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt (+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (.f64 #s(approx (+ ( 1/4 x) 1/2) #s(literal 1/2 binary64)) x))) (patch #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (.f64 #s(approx (+ ( 1/4 x) 1/2) #s(literal 1/2 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt (/ x (- 2 x)) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (- y 2)) (.f64 #s(literal -1/2 binary64) y))) (patch #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (- y 2)) (.f64 #s(literal -1/2 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (- y 2)) (.f64 #s(literal -1/2 binary64) y))) (patch #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (- y 2)) (.f64 #s(literal -1/2 binary64) 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 #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (- y 2)) (.f64 #s(literal -1/2 binary64) y))) (patch #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (- y 2)) (.f64 #s(literal -1/2 binary64) 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 #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (- y 2)) (.f64 #s(literal -1/2 binary64) y))) (patch #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (- y 2)) (.f64 #s(literal -1/2 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 y) (taylor 0 y) (#s(alt #s(approx (/ y (- y 2)) (.f64 #s(literal -1/2 binary64) y)) (patch #s(approx (/ y (- y 2)) (.f64 #s(literal -1/2 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* y (- (* -1/4 y) 1/2)) (taylor 0 y) (#s(alt #s(approx (/ y (- y 2)) (.f64 #s(literal -1/2 binary64) y)) (patch #s(approx (/ y (- y 2)) (.f64 #s(literal -1/2 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* y (- (* y (- (* -1/8 y) 1/4)) 1/2)) (taylor 0 y) (#s(alt #s(approx (/ y (- y 2)) (.f64 #s(literal -1/2 binary64) y)) (patch #s(approx (/ y (- y 2)) (.f64 #s(literal -1/2 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* y (- (* y (- (* y (- (* -1/16 y) 1/8)) 1/4)) 1/2)) (taylor 0 y) (#s(alt #s(approx (/ y (- y 2)) (.f64 #s(literal -1/2 binary64) y)) (patch #s(approx (/ y (- y 2)) (.f64 #s(literal -1/2 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 y) (taylor 0 y) (#s(alt (.f64 #s(literal -1/2 binary64) y) (patch (.f64 #s(literal -1/2 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* -1/2 y) (taylor 0 y) (#s(alt (.f64 #s(literal -1/2 binary64) y) (patch (.f64 #s(literal -1/2 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* -1/2 y) (taylor 0 y) (#s(alt (.f64 #s(literal -1/2 binary64) y) (patch (.f64 #s(literal -1/2 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* -1/2 y) (taylor 0 y) (#s(alt (.f64 #s(literal -1/2 binary64) y) (patch (.f64 #s(literal -1/2 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ x (- 2 x)) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (- y 2)) (.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y))) (patch #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (- y 2)) (.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (- y 2)) (.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y))) (patch #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (- y 2)) (.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) 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 #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (- y 2)) (.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y))) (patch #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (- y 2)) (.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) 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 #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (- y 2)) (.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y))) (patch #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (- y 2)) (.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 y) (taylor 0 y) (#s(alt #s(approx (/ y (- y 2)) (.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y)) (patch #s(approx (/ y (- y 2)) (.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* y (- (* -1/4 y) 1/2)) (taylor 0 y) (#s(alt #s(approx (/ y (- y 2)) (.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y)) (patch #s(approx (/ y (- y 2)) (.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* y (- (* y (- (* -1/8 y) 1/4)) 1/2)) (taylor 0 y) (#s(alt #s(approx (/ y (- y 2)) (.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y)) (patch #s(approx (/ y (- y 2)) (.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* y (- (* y (- (* y (- (* -1/16 y) 1/8)) 1/4)) 1/2)) (taylor 0 y) (#s(alt #s(approx (/ y (- y 2)) (.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y)) (patch #s(approx (/ y (- y 2)) (.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 y) (taylor 0 y) (#s(alt (.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y) (patch (.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* y (- (* -1/4 y) 1/2)) (taylor 0 y) (#s(alt (.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y) (patch (.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* y (- (* -1/4 y) 1/2)) (taylor 0 y) (#s(alt (.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y) (patch (.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* y (- (* -1/4 y) 1/2)) (taylor 0 y) (#s(alt (.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y) (patch (.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt -1/2 (taylor 0 y) (#s(alt (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) (patch (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* -1/4 y) 1/2) (taylor 0 y) (#s(alt (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) (patch (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* -1/4 y) 1/2) (taylor 0 y) (#s(alt (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) (patch (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* -1/4 y) 1/2) (taylor 0 y) (#s(alt (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) (patch (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ x (- 2 x)) (taylor 0 y) (#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 (+ (* -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)) #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 (+ (* 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)) #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 (+ (* 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)) #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 x (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
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#s(alt (- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (- y 2)) (.f64 #s(literal -1/2 binary64) y))) (patch #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (- y 2)) (.f64 #s(literal -1/2 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (- y 2)) (.f64 #s(literal -1/2 binary64) y))) (patch #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (- y 2)) (.f64 #s(literal -1/2 binary64) 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 #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (- y 2)) (.f64 #s(literal -1/2 binary64) y))) (patch #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (- y 2)) (.f64 #s(literal -1/2 binary64) y))) #<representation binary64>) () ())) ())
#s(alt -1 (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (- y 2)) (.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y))) (patch #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (- y 2)) (.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y))) #<representation binary64>) () ())) ())
#s(alt (- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (- y 2)) (.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y))) (patch #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (- y 2)) (.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (- y 2)) (.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y))) (patch #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (- y 2)) (.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) 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 #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (- y 2)) (.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y))) (patch #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (- y 2)) (.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y))) #<representation binary64>) () ())) ())
#s(alt -1 (taylor -inf x) (#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 (- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) (taylor -inf x) (#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 (- (* -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)) #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 (- (* -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)) #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 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 (* -1 x) (taylor -inf x) (#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 (* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) (taylor -inf x) (#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 (* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) (taylor -inf x) (#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 (* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) (taylor -inf x) (#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>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	y	@	inf	((/ (- x y) (- 2 (+ x y))) (- (/ (+ (* y 2) -2) x) 1) (/ (+ (* y 2) -2) x) (+ (* y 2) -2) (/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (* (+ (* 1/4 x) 1/2) x) (+ (* 1/4 x) 1/2) (/ (- x y) (- 2 (+ x y))) (/ y (- y 2)) (* -1/2 y) (/ (- x y) (- 2 (+ x y))) (/ y (- y 2)) (* (+ (* -1/4 y) -1/2) y) (+ (* -1/4 y) -1/2) (/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (- 2 y) (* y 2))
2.0ms	y	@	-inf	((/ (- x y) (- 2 (+ x y))) (- (/ (+ (* y 2) -2) x) 1) (/ (+ (* y 2) -2) x) (+ (* y 2) -2) (/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (* (+ (* 1/4 x) 1/2) x) (+ (* 1/4 x) 1/2) (/ (- x y) (- 2 (+ x y))) (/ y (- y 2)) (* -1/2 y) (/ (- x y) (- 2 (+ x y))) (/ y (- y 2)) (* (+ (* -1/4 y) -1/2) y) (+ (* -1/4 y) -1/2) (/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (- 2 y) (* y 2))
2.0ms	y	@	0	((/ (- x y) (- 2 (+ x y))) (- (/ (+ (* y 2) -2) x) 1) (/ (+ (* y 2) -2) x) (+ (* y 2) -2) (/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (* (+ (* 1/4 x) 1/2) x) (+ (* 1/4 x) 1/2) (/ (- x y) (- 2 (+ x y))) (/ y (- y 2)) (* -1/2 y) (/ (- x y) (- 2 (+ x y))) (/ y (- y 2)) (* (+ (* -1/4 y) -1/2) y) (+ (* -1/4 y) -1/2) (/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (- 2 y) (* y 2))
1.0ms	x	@	-inf	((/ (- x y) (- 2 (+ x y))) (- (/ (+ (* y 2) -2) x) 1) (/ (+ (* y 2) -2) x) (+ (* y 2) -2) (/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (* (+ (* 1/4 x) 1/2) x) (+ (* 1/4 x) 1/2) (/ (- x y) (- 2 (+ x y))) (/ y (- y 2)) (* -1/2 y) (/ (- x y) (- 2 (+ x y))) (/ y (- y 2)) (* (+ (* -1/4 y) -1/2) y) (+ (* -1/4 y) -1/2) (/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (- 2 y) (* y 2))
1.0ms	x	@	0	((/ (- x y) (- 2 (+ x y))) (- (/ (+ (* y 2) -2) x) 1) (/ (+ (* y 2) -2) x) (+ (* y 2) -2) (/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (* (+ (* 1/4 x) 1/2) x) (+ (* 1/4 x) 1/2) (/ (- x y) (- 2 (+ x y))) (/ y (- y 2)) (* -1/2 y) (/ (- x y) (- 2 (+ x y))) (/ y (- y 2)) (* (+ (* -1/4 y) -1/2) y) (+ (* -1/4 y) -1/2) (/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (- 2 y) (* y 2))

simplify143.0ms (3.9%)

Memory

47.2MiB live, 47.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	298	4401
1	903	4172
2	2681	3839
0	8548	3598

Stop Event

1×	iter limit
1×	node limit

Counts

348 → 345

Calls

Call 1

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

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

rewrite137.0ms (3.8%)

Memory

49.4MiB live, 49.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	224
0	52	224
1	219	224
2	1578	224
0	8711	216

Stop Event

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

Counts

20 → 248

Calls

Call 1

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

Outputs
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eval80.0ms (2.2%)

Memory: 53.9MiB live, 53.9MiB allocated
Compiler: Compiled 9 773 to 1 248 computations (87.2% saved)

prune32.0ms (0.9%)

Memory

30.6MiB live, 30.6MiB allocated

Pruning

15 alts after pruning (1 fresh and 14 done)

	Pruned	Kept	Total
New	593	0	593
Fresh	0	1	1
Picked	0	5	5
Done	0	9	9
Total	593	15	608

Accuracy

100.0%

Counts

608 → 15

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)))
✓	32.5%	(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 y)))
✓	41.2%	(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x)))
✓	29.0%	(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64))))
✓	100.0%	(-.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 y x))) (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 y x))))
✓	46.0%	#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (-.f64 y #s(literal 2 binary64))))
✓	56.0%	#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x)))
✓	41.5%	#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)))
	32.5%	#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)))
✓	15.5%	#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (- y 2)) (*.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y)))
✓	16.0%	#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (- y 2)) (*.f64 #s(literal -1/2 binary64) y)))
✓	15.9%	#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x)))
✓	16.4%	#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (.f64 #s(approx (+ ( 1/4 x) 1/2) #s(literal 1/2 binary64)) x)))
✓	32.3%	#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64))
✓	41.0%	#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64))

Compiler

Compiled 240 to 174 computations (27.5% saved)

regimes20.0ms (0.5%)

Memory

9.4MiB live, 9.4MiB allocated

Counts

19 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 11 to 11 computations (0% saved)

regimes20.0ms (0.5%)

Memory

9.2MiB live, 9.2MiB allocated

Counts

18 → 1

Calls

Call 1

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

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

Calls

3 calls:

6.0ms	x
6.0ms	y
5.0ms	(/.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 11 to 11 computations (0% saved)

regimes19.0ms (0.5%)

Memory

9.0MiB live, 9.0MiB allocated

Counts

17 → 2

Calls

Call 1

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

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:

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

Results

Accuracy	Segments	Branch
91.0%	3	`x`
77.8%	3	`y`
98.7%	2	`(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))`

Compiler

Compiled 11 to 11 computations (0% saved)

regimes5.0ms (0.1%)

Memory

2.9MiB live, 2.9MiB allocated

Counts

13 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

4.0ms

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

Results

Accuracy	Segments	Branch
98.5%	3	`(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes9.0ms (0.2%)

Memory

4.7MiB live, 4.7MiB allocated

Counts

10 → 2

Calls

Call 1

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
77.2%	3	`x`
86.5%	2	`(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))`

Compiler

Compiled 10 to 9 computations (10% saved)

regimes4.0ms (0.1%)

Memory

2.2MiB live, 2.2MiB allocated

Counts

8 → 2

Calls

Call 1

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

Calls

1 calls:

3.0ms

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

Results

Accuracy	Segments	Branch
85.6%	2	`(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes4.0ms (0.1%)

Memory

2.1MiB live, 2.1MiB allocated

Counts

7 → 3

Calls

Call 1

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

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 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x)))

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

Calls

1 calls:

3.0ms

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

Results

Accuracy	Segments	Branch
84.1%	3	`(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes3.0ms (0.1%)

Memory

1.8MiB live, 1.8MiB allocated

Counts

5 → 3

Calls

Call 1

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

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 #s(literal 1/2 binary64) x)))

#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
84.0%	3	`(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes6.0ms (0.2%)

Memory

4.4MiB live, 4.4MiB allocated

Counts

2 → 2

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
63.7%	3	`x`
62.8%	3	`y`
71.7%	2	`(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))`

Compiler

Compiled 11 to 11 computations (0% saved)

regimes5.0ms (0.1%)

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:

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

Results

Accuracy	Segments	Branch
41.0%	1	`y`
41.0%	1	`x`
41.0%	1	`(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))`

Compiler

Compiled 11 to 11 computations (0% saved)

bsearch1.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-2.008493335314539e-5	-3.901951095591325e-12

Compiler

Compiled 12 to 12 computations (0% saved)

bsearch1.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.13835217269366268	0.7686360762367915
0.0ms	-2.008493335314539e-5	-3.901951095591325e-12

Compiler

Compiled 12 to 12 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	7.417259107468262e-148	5.426441825908614e-140

Compiler

Compiled 12 to 12 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.13835217269366268	0.7686360762367915

Compiler

Compiled 12 to 12 computations (0% saved)

bsearch1.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.13835217269366268	0.7686360762367915
0.0ms	-0.8671084533500746	-2.008493335314539e-5

Compiler

Compiled 12 to 12 computations (0% saved)

bsearch1.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.3107860794843612e-27	2.4876140427387543e-24
0.0ms	-0.8671084533500746	-2.008493335314539e-5

Compiler

Compiled 12 to 12 computations (0% saved)

bsearch13.0ms (0.4%)

Memory

3.9MiB live, 3.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	-2.7025363362582164e-255	7.563318368934384e-239

Samples

5.0ms

208×

valid

Compiler

Compiled 64 to 142 computations (-121.9% 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)

simplify47.0ms (1.3%)

Memory

19.9MiB live, 19.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	391
1	85	391
2	103	391
3	119	391
4	144	391
5	185	391
6	249	391
7	328	391
8	444	391
9	562	391
10	656	391
11	714	391
12	735	391
13	737	391

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 y x))) (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 y x))))
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -5902958103587057/295147905179352825856 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -5902958103587057/295147905179352825856 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 3602879701896397/18014398509481984 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 #s(literal -2 binary64) y)))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 3599131035634557/3599131035634557106248430806148785487095757694641533306480604458089470064537190296255232548883112685719936728506816716098566612844395439751206812144692131084107776 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 #s(literal -2 binary64) y))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 3602879701896397/18014398509481984 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -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 3602879701896397/18014398509481984 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x))) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -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 348449143727041/87112285931760246646623899502532662132736 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(literal 1/2 binary64) x))) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 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 y x))) (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 y x))))
(-.f64 (/.f64 y (-.f64 (+.f64 y x) #s(literal 2 binary64))) (/.f64 x (-.f64 (+.f64 y x) #s(literal 2 binary64))))
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
(/.f64 (-.f64 y x) (-.f64 (+.f64 y x) #s(literal 2 binary64)))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -5902958103587057/295147905179352825856 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))))
(if (<=.f64 (/.f64 (-.f64 y x) (-.f64 (+.f64 y x) #s(literal 2 binary64))) #s(literal -5902958103587057/295147905179352825856 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -5902958103587057/295147905179352825856 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 3602879701896397/18014398509481984 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 #s(literal -2 binary64) y)))))
(if (<=.f64 (/.f64 (-.f64 y x) (-.f64 (+.f64 y x) #s(literal 2 binary64))) #s(literal -5902958103587057/295147905179352825856 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) (if (<=.f64 (/.f64 (-.f64 y x) (-.f64 (+.f64 y x) #s(literal 2 binary64))) #s(literal 3602879701896397/18014398509481984 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 #s(literal -2 binary64) y)))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 3599131035634557/3599131035634557106248430806148785487095757694641533306480604458089470064537190296255232548883112685719936728506816716098566612844395439751206812144692131084107776 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 #s(literal -2 binary64) y))))
(if (<=.f64 (/.f64 (-.f64 y x) (-.f64 (+.f64 y x) #s(literal 2 binary64))) #s(literal 3599131035634557/3599131035634557106248430806148785487095757694641533306480604458089470064537190296255232548883112685719936728506816716098566612844395439751206812144692131084107776 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 #s(literal -2 binary64) y))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 3602879701896397/18014398509481984 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (-.f64 y x) (-.f64 (+.f64 y x) #s(literal 2 binary64))) #s(literal 3602879701896397/18014398509481984 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -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 3602879701896397/18014398509481984 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x))) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (-.f64 y x) (-.f64 (+.f64 y x) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) (if (<=.f64 (/.f64 (-.f64 y x) (-.f64 (+.f64 y x) #s(literal 2 binary64))) #s(literal 3602879701896397/18014398509481984 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x))) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -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 348449143727041/87112285931760246646623899502532662132736 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(literal 1/2 binary64) x))) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (-.f64 y x) (-.f64 (+.f64 y x) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) (if (<=.f64 (/.f64 (-.f64 y x) (-.f64 (+.f64 y x) #s(literal 2 binary64))) #s(literal 348449143727041/87112285931760246646623899502532662132736 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(literal 1/2 binary64) x))) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (-.f64 y x) (-.f64 (+.f64 y x) #s(literal 2 binary64))) #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 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))

soundness549.0ms (15.1%)

Memory

10.8MiB live, 10.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	186	985
1	571	921
2	1809	857
3	7619	851
0	8589	806
0	533	4863
1	1718	4522
2	5347	4344
0	8429	4114
0	7	20
0	11	20
1	60	20
2	525	20
3	7752	20
0	8474	20

Stop Event

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

Compiler

Compiled 331 to 159 computations (52% saved)

preprocess81.0ms (2.2%)

Memory: 55.6MiB live, 55.6MiB allocated
Compiler: Compiled 496 to 148 computations (70.2% 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	67	391
1	85	391
2	103	391
3	119	391
4	144	391
5	185	391
6	249	391
7	328	391
8	444	391
9	562	391
10	656	391
11	714	391
12	735	391
13	737	391

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	67	391
1	85	391
2	103	391
3	119	391
4	144	391
5	185	391
6	249	391
7	328	391
8	444	391
9	562	391
10	656	391
11	714	391
12	735	391
13	737	391

start0.0ms (0%)

analyze15.0ms (0.4%)

sample518.0ms (14.2%)

explain90.0ms (2.5%)

preprocess77.0ms (2.1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify23.0ms (0.6%)

localize16.0ms (0.4%)

series6.0ms (0.2%)

simplify132.0ms (3.6%)

rewrite133.0ms (3.7%)

eval67.0ms (1.9%)

prune15.0ms (0.4%)

simplify46.0ms (1.3%)

localize38.0ms (1.1%)

series16.0ms (0.5%)

simplify137.0ms (3.8%)

rewrite152.0ms (4.2%)

eval155.0ms (4.3%)

prune43.0ms (1.2%)

simplify111.0ms (3.1%)

localize58.0ms (1.6%)

series20.0ms (0.5%)

simplify147.0ms (4%)

rewrite139.0ms (3.8%)

eval90.0ms (2.5%)

prune32.0ms (0.9%)

simplify87.0ms (2.4%)

localize68.0ms (1.9%)

series23.0ms (0.6%)

simplify143.0ms (3.9%)

rewrite137.0ms (3.8%)

eval80.0ms (2.2%)

prune32.0ms (0.9%)

regimes20.0ms (0.5%)

regimes20.0ms (0.5%)

regimes19.0ms (0.5%)

regimes5.0ms (0.1%)

regimes9.0ms (0.2%)

regimes4.0ms (0.1%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

regimes6.0ms (0.2%)

regimes5.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch13.0ms (0.4%)

simplify47.0ms (1.3%)

soundness549.0ms (15.1%)

preprocess81.0ms (2.2%)

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	67	391
1	85	391
2	103	391
3	119	391
4	144	391
5	185	391
6	249	391
7	328	391
8	444	391
9	562	391
10	656	391
11	714	391
12	735	391
13	737	391