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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze46.0ms (0.6%)

Memory

0.2MiB live, 39.5MiB 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)

sample1.8s (24.4%)

Memory

20.7MiB live, 1 156.6MiB allocated

Samples

1.4s	8 255×	0	valid
0.0ms	1×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 562.0ms

ival-sub: 337.0ms (60% of total)

ival-div: 170.0ms (30.3% of total)

ival-add: 41.0ms (7.3% of total)

ival-true: 6.0ms (1.1% of total)

exact: 5.0ms (0.9% of total)

ival-assert: 3.0ms (0.5% of total)

adjust: 0.0ms (0% of total)

Bogosity

explain81.0ms (1.1%)

Memory

34.3MiB live, 226.8MiB 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

31.0ms

512×

valid

Compiler

Compiled 59 to 25 computations (57.6% saved)

Precisions

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

ival-sub: 5.0ms (33.4% of total)

ival-div: 5.0ms (33.4% of total)

ival-add: 4.0ms (26.7% of total)

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

exact: 0.0ms (0% of total)

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

preprocess250.0ms (3.4%)

Memory

-19.7MiB live, 104.2MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

Outputs
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
(/.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: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.2MiB live, 1.2MiB 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)

simplify31.0ms (0.4%)

Memory

8.4MiB live, 45.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize30.0ms (0.4%)

Memory

5.0MiB live, 45.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 x y)
accuracy	0	(-.f64 #s(literal 2 binary64) (+.f64 x y))
accuracy	0	(+.f64 x y)
accuracy	0.0234375	(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))

Samples

25.0ms

256×

valid

Compiler

Compiled 25 to 9 computations (64% saved)

Precisions

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

ival-sub: 8.0ms (69.6% of total)

ival-div: 2.0ms (17.4% of total)

ival-add: 1.0ms (8.7% of total)

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

exact: 0.0ms (0% of total)

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

series10.0ms (0.1%)

Memory

-21.3MiB live, 15.9MiB 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	y	@	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))
1.0ms	x	@	0	((/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (+ x y))
1.0ms	y	@	-inf	((/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (+ x y))

simplify172.0ms (2.3%)

Memory

27.3MiB live, 276.3MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	186	985
1	571	921
2	1809	857
3	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)

rewrite198.0ms (2.7%)

Memory

-14.8MiB live, 225.0MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

4 → 607

Calls

Call 1

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

Outputs
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eval94.0ms (1.3%)

Memory: 18.9MiB live, 133.6MiB allocated
Compiler: Compiled 16 977 to 1 879 computations (88.9% saved)

prune25.0ms (0.3%)

Memory

-13.6MiB live, 58.3MiB allocated

Pruning

14 alts after pruning (13 fresh and 1 done)

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

Accuracy

100.0%

Counts

695 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
▶	66.3%	(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)))
	90.4%	(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (*.f64 (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) y) #s(literal 1 binary64)) y)))
	40.1%	(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 y)))
	34.2%	(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x)))
	58.6%	(/.f64 (*.f64 (+.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 x y)) (-.f64 #s(literal 4 binary64) (pow.f64 (+.f64 y x) #s(literal 2 binary64))))
	52.8%	(/.f64 #s(approx (- x y) (neg.f64 y)) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
▶	99.9%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 y x)))
▶	52.5%	#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 #s(literal -2 binary64) y)))
	48.2%	#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x)))
▶	34.2%	#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)))
	40.4%	#s(approx (/ (- x y) (- 2 (+ x y))) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y)))
	39.9%	#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64))
▶	33.8%	#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64))

Compiler

Compiled 223 to 199 computations (10.8% saved)

simplify241.0ms (3.2%)

Memory

-21.7MiB live, 109.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64))
cost-diff	0	(/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x)
cost-diff	0	(-.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (- x y) (- 2 (+ x y))) (-.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) #s(literal 1 binary64)))
cost-diff	0	(-.f64 #s(literal 2 binary64) y)
cost-diff	0	#s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))
cost-diff	0	(-.f64 x y)
cost-diff	0	(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)))
cost-diff	0	(+.f64 #s(literal -2 binary64) y)
cost-diff	0	(/.f64 y (+.f64 #s(literal -2 binary64) y))
cost-diff	0	#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 #s(literal -2 binary64) y)))
cost-diff	0	#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64))
cost-diff	0	(+.f64 y x)
cost-diff	0	(-.f64 (+.f64 y x) #s(literal 2 binary64))
cost-diff	0	(/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 y x))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 y x)))

Rules

2 208×	`lower-fma.f32`
2 206×	`lower-fma.f64`
1 040×	`lower-*.f64`
1 040×	`lower-*.f32`
978×	`div-sub`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	27	144
0	41	144
1	74	144
2	111	142
3	193	142
4	390	142
5	748	142
6	1627	142
7	2829	142
8	3499	142
9	3771	142
10	4145	142
11	4506	142
12	4923	142
13	5436	142
14	5538	142
15	5554	142
16	5554	142
17	5698	142
18	5746	142
19	5746	142
0	5746	142

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

Outputs
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 y x)))
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
#s(literal 1 binary64)
(/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 y x))
(/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 x y))
(-.f64 (+.f64 y x) #s(literal 2 binary64))
(-.f64 (+.f64 x y) #s(literal 2 binary64))
(+.f64 y x)
(+.f64 x y)
y
x
#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 y (+.f64 #s(literal -2 binary64) y)))
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (-.f64 y #s(literal 2 binary64))))
(/.f64 y (+.f64 #s(literal -2 binary64) y))
(/.f64 y (-.f64 y #s(literal 2 binary64)))
y
(+.f64 #s(literal -2 binary64) y)
(-.f64 y #s(literal 2 binary64))
#s(literal -2 binary64)
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)))
(-.f64 x y)
x
y
#s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))
(-.f64 #s(literal 2 binary64) y)
#s(literal 2 binary64)
#s(approx (/ (- x y) (- 2 (+ x y))) (-.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) #s(literal 1 binary64)))
#s(approx (/ (- x y) (- 2 (+ x y))) (-.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 (0.8%)

Memory

10.6MiB live, 127.9MiB 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	0.00390625	(/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x)
accuracy	42.11414021879141	#s(approx (/ (- x y) (- 2 (+ x y))) (-.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) #s(literal 1 binary64)))
accuracy	0	(-.f64 x y)
accuracy	0	(-.f64 #s(literal 2 binary64) y)
accuracy	0.0234375	(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)))
accuracy	21.588946725412594	#s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))
accuracy	0	(+.f64 #s(literal -2 binary64) y)
accuracy	0.00390625	(/.f64 y (+.f64 #s(literal -2 binary64) y))
accuracy	30.365639940946785	#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 #s(literal -2 binary64) y)))
accuracy	42.35102397537341	#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64))
accuracy	0	(-.f64 y x)
accuracy	0	(+.f64 y x)
accuracy	0.03125	(/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 y x))
accuracy	0.0703125	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 y x)))

Samples

36.0ms	255×	0	valid
0.0ms	1×	1	valid

Compiler

Compiled 124 to 24 computations (80.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-div: 8.0ms (37.3% of total)

ival-sub: 6.0ms (28% of total)

ival-add: 5.0ms (23.3% of total)

ival-mult: 2.0ms (9.3% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series29.0ms (0.4%)

Memory

30.3MiB live, 64.6MiB allocated

Counts

17 → 360

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	x	@	inf	((/ 1 (/ (- (+ y x) 2) (- y x))) (/ (- (+ y x) 2) (- y x)) (- (+ y x) 2) (+ y x) (/ (- x y) (- 2 (+ x y))) (/ (- x y) (- 2 (+ x y))) (/ y (+ -2 y)) (+ -2 y) (/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (- 2 y) (/ (- x y) (- 2 (+ x y))) (- (/ (+ (* y 2) -2) x) 1) (/ (+ (* y 2) -2) x) (+ (* y 2) -2) (- y x))
3.0ms	y	@	0	((/ 1 (/ (- (+ y x) 2) (- y x))) (/ (- (+ y x) 2) (- y x)) (- (+ y x) 2) (+ y x) (/ (- x y) (- 2 (+ x y))) (/ (- x y) (- 2 (+ x y))) (/ y (+ -2 y)) (+ -2 y) (/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (- 2 y) (/ (- x y) (- 2 (+ x y))) (- (/ (+ (* y 2) -2) x) 1) (/ (+ (* y 2) -2) x) (+ (* y 2) -2) (- y x))
3.0ms	y	@	inf	((/ 1 (/ (- (+ y x) 2) (- y x))) (/ (- (+ y x) 2) (- y x)) (- (+ y x) 2) (+ y x) (/ (- x y) (- 2 (+ x y))) (/ (- x y) (- 2 (+ x y))) (/ y (+ -2 y)) (+ -2 y) (/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (- 2 y) (/ (- x y) (- 2 (+ x y))) (- (/ (+ (* y 2) -2) x) 1) (/ (+ (* y 2) -2) x) (+ (* y 2) -2) (- y x))
3.0ms	y	@	-inf	((/ 1 (/ (- (+ y x) 2) (- y x))) (/ (- (+ y x) 2) (- y x)) (- (+ y x) 2) (+ y x) (/ (- x y) (- 2 (+ x y))) (/ (- x y) (- 2 (+ x y))) (/ y (+ -2 y)) (+ -2 y) (/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (- 2 y) (/ (- x y) (- 2 (+ x y))) (- (/ (+ (* y 2) -2) x) 1) (/ (+ (* y 2) -2) x) (+ (* y 2) -2) (- y x))
2.0ms	x	@	0	((/ 1 (/ (- (+ y x) 2) (- y x))) (/ (- (+ y x) 2) (- y x)) (- (+ y x) 2) (+ y x) (/ (- x y) (- 2 (+ x y))) (/ (- x y) (- 2 (+ x y))) (/ y (+ -2 y)) (+ -2 y) (/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (- 2 y) (/ (- x y) (- 2 (+ x y))) (- (/ (+ (* y 2) -2) x) 1) (/ (+ (* y 2) -2) x) (+ (* y 2) -2) (- y x))

simplify144.0ms (1.9%)

Memory

0.1MiB live, 196.8MiB allocated

Algorithm

1×	egg-herbie

Rules

7 742×	`lower-fma.f64`
7 742×	`lower-fma.f32`
3 898×	`lower-*.f64`
3 898×	`lower-*.f32`
3 472×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	525	4808
1	1619	4473
2	5262	4392
0	8438	4123

Stop Event

1×	iter limit
1×	node limit

Counts

360 → 342

Calls

Call 1

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

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

rewrite257.0ms (3.5%)

Memory

1.4MiB live, 153.9MiB allocated

Rules

5 754×	`lower-/.f32`
5 744×	`lower-/.f64`
4 568×	`lower-*.f64`
4 568×	`lower-*.f32`
2 220×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	129
0	41	129
1	211	127
2	1762	127
0	8768	127

Stop Event

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

Counts

17 → 564

Calls

Call 1

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

Outputs
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eval261.0ms (3.5%)

Memory: 3.8MiB live, 166.9MiB allocated
Compiler: Compiled 17 191 to 2 567 computations (85.1% saved)

prune33.0ms (0.4%)

Memory

-27.7MiB live, 93.5MiB allocated

Pruning

16 alts after pruning (12 fresh and 4 done)

	Pruned	Kept	Total
New	899	7	906
Fresh	3	5	8
Picked	2	3	5
Done	0	1	1
Total	904	16	920

Accuracy

100.0%

Counts

920 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
▶	40.1%	(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 y)))
	34.2%	(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x)))
▶	28.4%	(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64))))
▶	52.8%	(/.f64 #s(approx (- x y) (neg.f64 y)) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
✓	99.9%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 y x)))
	48.2%	(/.f64 #s(literal 1 binary64) #s(approx (/ (- (+ y x) 2) (- y x)) (/.f64 (-.f64 #s(literal 2 binary64) x) x)))
	48.6%	(/.f64 #s(literal 1 binary64) #s(approx (/ (- (+ y x) 2) (- y x)) (-.f64 (/.f64 (-.f64 (-.f64 #s(literal 2 binary64) y) y) x) #s(literal 1 binary64))))
✓	52.5%	#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 #s(literal -2 binary64) y)))
	48.2%	#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x)))
	34.6%	#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)))
	40.4%	#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)))
▶	14.5%	#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y)))
	15.0%	#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 #s(literal -1/2 binary64) y)))
▶	39.9%	#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) #s(literal 1 binary64)))
✓	33.8%	#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64))

Compiler

Compiled 208 to 202 computations (2.9% saved)

simplify78.0ms (1%)

Memory

31.6MiB live, 69.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Rules

1 240×	`lower-fma.f32`
1 238×	`lower-fma.f64`
760×	`lower-*.f32`
758×	`lower-*.f64`
416×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	167
0	43	167
1	68	167
2	98	167
3	163	167
4	310	167
5	507	167
6	1049	167
7	2022	167
8	2327	167
9	2448	167
10	2480	167
11	2501	167
12	2501	167
0	2501	167

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize55.0ms (0.7%)

Memory

-22.3MiB live, 98.0MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 x y)
accuracy	0	(neg.f64 y)
accuracy	0.0234375	(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 y)))
accuracy	38.23732184058645	#s(approx (- 2 (+ x y)) (neg.f64 y))
accuracy	0	(-.f64 x y)
accuracy	0.0234375	(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64))))
accuracy	21.588946725412594	#s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))
accuracy	32.15805011733702	#s(approx (- 2 y) #s(literal 2 binary64))
accuracy	0	(fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64))
accuracy	0.00390625	(*.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y)
accuracy	30.365639940946785	#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y)))
accuracy	32.64149836427391	#s(approx (/ y (+ -2 y)) (*.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y))
accuracy	30.365639940946785	#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) #s(literal 1 binary64)))
accuracy	30.72192912366858	#s(approx (/ y (+ -2 y)) #s(literal 1 binary64))
accuracy	0	(+.f64 x y)
accuracy	0	(neg.f64 y)
accuracy	0.0234375	(/.f64 #s(approx (- x y) (neg.f64 y)) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
accuracy	30.31548878240388	#s(approx (- x y) (neg.f64 y))

Samples

37.0ms

256×

valid

Compiler

Compiled 115 to 20 computations (82.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-sub: 7.0ms (33.2% of total)

ival-div: 6.0ms (28.5% of total)

ival-add: 3.0ms (14.2% of total)

ival-mult: 3.0ms (14.2% of total)

exact: 1.0ms (4.7% of total)

ival-neg: 1.0ms (4.7% of total)

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

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

series16.0ms (0.2%)

Memory

-7.4MiB live, 31.4MiB allocated

Counts

17 → 336

Calls

Call 1

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

Outputs
#s(alt (/ x (- 2 x)) (taylor 0 y) (#s(alt (/.f64 #s(approx (- x y) (neg.f64 y)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 #s(approx (- x y) (neg.f64 y)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) (taylor 0 y) (#s(alt (/.f64 #s(approx (- x y) (neg.f64 y)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 #s(approx (- x y) (neg.f64 y)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) (taylor 0 y) (#s(alt (/.f64 #s(approx (- x y) (neg.f64 y)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 #s(approx (- x y) (neg.f64 y)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) (taylor 0 y) (#s(alt (/.f64 #s(approx (- x y) (neg.f64 y)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 #s(approx (- x y) (neg.f64 y)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt #s(approx (- x y) (neg.f64 y)) (patch #s(approx (- x y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt #s(approx (- x y) (neg.f64 y)) (patch #s(approx (- x y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt #s(approx (- x y) (neg.f64 y)) (patch #s(approx (- x y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt #s(approx (- x y) (neg.f64 y)) (patch #s(approx (- x y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (- 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 (- 2 x)) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) #s(literal 1 binary64))) (patch #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 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(approx (/ y (+ -2 y)) #s(literal 1 binary64))) (patch #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 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(approx (/ y (+ -2 y)) #s(literal 1 binary64))) (patch #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 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(approx (/ y (+ -2 y)) #s(literal 1 binary64))) (patch #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 y) (taylor 0 y) (#s(alt #s(approx (/ y (+ -2 y)) #s(literal 1 binary64)) (patch #s(approx (/ y (+ -2 y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (- (* -1/4 y) 1/2)) (taylor 0 y) (#s(alt #s(approx (/ y (+ -2 y)) #s(literal 1 binary64)) (patch #s(approx (/ y (+ -2 y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (- (* y (- (* -1/8 y) 1/4)) 1/2)) (taylor 0 y) (#s(alt #s(approx (/ y (+ -2 y)) #s(literal 1 binary64)) (patch #s(approx (/ y (+ -2 y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
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#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) (neg y) (- 2 (+ x y)) (/ (- x y) (- 2 (+ x y))) (/ y (+ -2 y)) (/ (- x y) (- 2 (+ x y))) (/ y (+ -2 y)) (* (+ (* -1/4 y) -1/2) y) (+ (* -1/4 y) -1/2) (/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (- 2 y) (/ (- x y) (- 2 (+ x y))) (- 2 (+ x y)) (+ x y))
1.0ms	y	@	-inf	((/ (- x y) (- 2 (+ x y))) (- x y) (neg y) (- 2 (+ x y)) (/ (- x y) (- 2 (+ x y))) (/ y (+ -2 y)) (/ (- x y) (- 2 (+ x y))) (/ y (+ -2 y)) (* (+ (* -1/4 y) -1/2) y) (+ (* -1/4 y) -1/2) (/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (- 2 y) (/ (- x y) (- 2 (+ x y))) (- 2 (+ x y)) (+ x y))
1.0ms	y	@	0	((/ (- x y) (- 2 (+ x y))) (- x y) (neg y) (- 2 (+ x y)) (/ (- x y) (- 2 (+ x y))) (/ y (+ -2 y)) (/ (- x y) (- 2 (+ x y))) (/ y (+ -2 y)) (* (+ (* -1/4 y) -1/2) y) (+ (* -1/4 y) -1/2) (/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (- 2 y) (/ (- x y) (- 2 (+ x y))) (- 2 (+ x y)) (+ x y))
0.0ms	x	@	-inf	((/ (- x y) (- 2 (+ x y))) (- x y) (neg y) (- 2 (+ x y)) (/ (- x y) (- 2 (+ x y))) (/ y (+ -2 y)) (/ (- x y) (- 2 (+ x y))) (/ y (+ -2 y)) (* (+ (* -1/4 y) -1/2) y) (+ (* -1/4 y) -1/2) (/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (- 2 y) (/ (- x y) (- 2 (+ x y))) (- 2 (+ x y)) (+ x y))
0.0ms	x	@	inf	((/ (- x y) (- 2 (+ x y))) (- x y) (neg y) (- 2 (+ x y)) (/ (- x y) (- 2 (+ x y))) (/ y (+ -2 y)) (/ (- x y) (- 2 (+ x y))) (/ y (+ -2 y)) (* (+ (* -1/4 y) -1/2) y) (+ (* -1/4 y) -1/2) (/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (- 2 y) (/ (- x y) (- 2 (+ x y))) (- 2 (+ x y)) (+ x y))

simplify367.0ms (4.9%)

Memory

-98.1MiB live, 307.6MiB allocated

Algorithm

1×	egg-herbie

Rules

13 592×	`lower-fma.f64`
13 592×	`lower-fma.f32`
5 242×	`lower-*.f64`
5 242×	`lower-*.f32`
3 354×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	239	3998
1	709	3778
2	2181	3456
0	8384	3250

Stop Event

1×	iter limit
1×	node limit

Counts

336 → 324

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

rewrite148.0ms (2%)

Memory

-28.8MiB live, 252.8MiB allocated

Rules

4 728×	`lower-/.f32`
4 722×	`lower-/.f64`
3 766×	`lower-*.f32`
3 764×	`lower-*.f64`
3 678×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	150
0	43	150
1	161	150
2	1138	150
0	8506	150

Stop Event

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

Counts

17 → 561

Calls

Call 1

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

Outputs
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eval266.0ms (3.6%)

Memory: 26.8MiB live, 215.1MiB allocated
Compiler: Compiled 18 287 to 2 101 computations (88.5% saved)

prune47.0ms (0.6%)

Memory

-0.1MiB live, 74.3MiB allocated

Pruning

17 alts after pruning (8 fresh and 9 done)

	Pruned	Kept	Total
New	995	2	997
Fresh	1	6	7
Picked	0	5	5
Done	0	4	4
Total	996	17	1 013

Accuracy

100.0%

Counts

1 013 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
✓	40.1%	(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 y)))
	34.2%	(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x)))
✓	28.4%	(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64))))
✓	52.8%	(/.f64 #s(approx (- x y) (neg.f64 y)) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
✓	99.9%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 y x)))
▶	48.2%	(/.f64 #s(literal 1 binary64) #s(approx (/ (- (+ y x) 2) (- y x)) (/.f64 (-.f64 #s(literal 2 binary64) x) x)))
▶	48.6%	(/.f64 #s(literal 1 binary64) #s(approx (/ (- (+ y x) 2) (- y x)) (-.f64 (/.f64 (-.f64 (-.f64 #s(literal 2 binary64) y) y) x) #s(literal 1 binary64))))
✓	52.5%	#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 #s(literal -2 binary64) y)))
▶	48.2%	#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x)))
▶	34.6%	#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)))
	40.4%	#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)))
✓	14.5%	#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y)))
	3.2%	#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (.f64 #s(approx (+ ( -1/4 y) -1/2) (*.f64 #s(literal -1/4 binary64) y)) y)))
▶	15.0%	#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (.f64 #s(approx (+ ( -1/4 y) -1/2) #s(literal -1/2 binary64)) y)))
✓	39.9%	#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) #s(literal 1 binary64)))
✓	33.8%	#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64))

Compiler

Compiled 192 to 186 computations (3.1% saved)

simplify293.0ms (3.9%)

Memory

-3.2MiB live, 87.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Rules

5 008×	`lower-fma.f64`
5 008×	`lower-fma.f32`
1 440×	`lower-*.f32`
1 436×	`lower-*.f64`
1 324×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	257
0	55	257
1	97	257
2	151	257
3	264	257
4	494	257
5	1039	257
6	2437	257
7	3829	257
8	4552	257
9	5154	257
10	5514	257
11	5775	257
12	5905	257
13	6076	257
14	6768	257
15	7150	257
16	7519	257
17	7736	257
18	7935	257
0	8067	244

Stop Event

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

Calls

Call 1

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

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

localize104.0ms (1.4%)

Memory

-4.2MiB live, 189.2MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 #s(literal 2 binary64) x)
accuracy	0.0078125	(/.f64 (-.f64 #s(literal 2 binary64) x) x)
accuracy	0.0703125	(/.f64 #s(literal 1 binary64) #s(approx (/ (- (+ y x) 2) (- y x)) (/.f64 (-.f64 #s(literal 2 binary64) x) x)))
accuracy	33.41828629926139	#s(approx (/ (- (+ y x) 2) (- y x)) (/.f64 (-.f64 #s(literal 2 binary64) x) x))
accuracy	0	(*.f64 y #s(literal 2 binary64))
accuracy	0.00390625	(/.f64 #s(approx (+ (* y 2) -2) (*.f64 y #s(literal 2 binary64))) x)
accuracy	30.699569392625182	#s(approx (+ (* y 2) -2) (*.f64 y #s(literal 2 binary64)))
accuracy	42.11414021879141	#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)))
accuracy	0	(-.f64 #s(literal 2 binary64) x)
accuracy	0.015625	(/.f64 x (-.f64 #s(literal 2 binary64) x))
accuracy	33.154537999065994	#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x)))
accuracy	0.00390625	(.f64 #s(approx (+ ( -1/4 y) -1/2) #s(literal -1/2 binary64)) y)
accuracy	30.365639940946785	#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (.f64 #s(approx (+ ( -1/4 y) -1/2) #s(literal -1/2 binary64)) y)))
accuracy	32.13008243092821	#s(approx (+ (* -1/4 y) -1/2) #s(literal -1/2 binary64))
accuracy	32.64149836427391	#s(approx (/ y (+ -2 y)) (.f64 #s(approx (+ ( -1/4 y) -1/2) #s(literal -1/2 binary64)) y))
accuracy	0.00390625	(/.f64 (-.f64 (-.f64 #s(literal 2 binary64) y) y) x)
accuracy	0.0078125	(-.f64 (-.f64 #s(literal 2 binary64) y) y)
accuracy	0.0703125	(/.f64 #s(literal 1 binary64) #s(approx (/ (- (+ y x) 2) (- y x)) (-.f64 (/.f64 (-.f64 (-.f64 #s(literal 2 binary64) y) y) x) #s(literal 1 binary64))))
accuracy	33.25873537263288	#s(approx (/ (- (+ y x) 2) (- y x)) (-.f64 (/.f64 (-.f64 (-.f64 #s(literal 2 binary64) y) y) x) #s(literal 1 binary64)))

Samples

83.0ms	255×	0	valid
0.0ms	1×	1	valid

Compiler

Compiled 165 to 34 computations (79.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 65.0ms

ival-div: 25.0ms (38.2% of total)

ival-add: 20.0ms (30.5% of total)

ival-sub: 14.0ms (21.4% of total)

ival-mult: 4.0ms (6.1% of total)

exact: 1.0ms (1.5% of total)

adjust: 0.0ms (0% of total)

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

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

series27.0ms (0.4%)

Memory

6.4MiB live, 43.5MiB allocated

Counts

20 → 372

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	((/ 1 (/ (- (+ y x) 2) (- y x))) (/ (- (+ y x) 2) (- y x)) (- (/ (- (- 2 y) y) x) 1) (/ (- (- 2 y) y) x) (/ (- x y) (- 2 (+ x y))) (/ y (+ -2 y)) (* (+ (* -1/4 y) -1/2) y) (+ (* -1/4 y) -1/2) (/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (- 2 x) (/ (- x y) (- 2 (+ x y))) (- (/ (+ (* y 2) -2) x) 1) (/ (+ (* y 2) -2) x) (+ (* y 2) -2) (/ 1 (/ (- (+ y x) 2) (- y x))) (/ (- (+ y x) 2) (- y x)) (/ (- 2 x) x) (- (- 2 y) y) (* y 2))
2.0ms	y	@	0	((/ 1 (/ (- (+ y x) 2) (- y x))) (/ (- (+ y x) 2) (- y x)) (- (/ (- (- 2 y) y) x) 1) (/ (- (- 2 y) y) x) (/ (- x y) (- 2 (+ x y))) (/ y (+ -2 y)) (* (+ (* -1/4 y) -1/2) y) (+ (* -1/4 y) -1/2) (/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (- 2 x) (/ (- x y) (- 2 (+ x y))) (- (/ (+ (* y 2) -2) x) 1) (/ (+ (* y 2) -2) x) (+ (* y 2) -2) (/ 1 (/ (- (+ y x) 2) (- y x))) (/ (- (+ y x) 2) (- y x)) (/ (- 2 x) x) (- (- 2 y) y) (* y 2))
2.0ms	x	@	-inf	((/ 1 (/ (- (+ y x) 2) (- y x))) (/ (- (+ y x) 2) (- y x)) (- (/ (- (- 2 y) y) x) 1) (/ (- (- 2 y) y) x) (/ (- x y) (- 2 (+ x y))) (/ y (+ -2 y)) (* (+ (* -1/4 y) -1/2) y) (+ (* -1/4 y) -1/2) (/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (- 2 x) (/ (- x y) (- 2 (+ x y))) (- (/ (+ (* y 2) -2) x) 1) (/ (+ (* y 2) -2) x) (+ (* y 2) -2) (/ 1 (/ (- (+ y x) 2) (- y x))) (/ (- (+ y x) 2) (- y x)) (/ (- 2 x) x) (- (- 2 y) y) (* y 2))
2.0ms	y	@	inf	((/ 1 (/ (- (+ y x) 2) (- y x))) (/ (- (+ y x) 2) (- y x)) (- (/ (- (- 2 y) y) x) 1) (/ (- (- 2 y) y) x) (/ (- x y) (- 2 (+ x y))) (/ y (+ -2 y)) (* (+ (* -1/4 y) -1/2) y) (+ (* -1/4 y) -1/2) (/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (- 2 x) (/ (- x y) (- 2 (+ x y))) (- (/ (+ (* y 2) -2) x) 1) (/ (+ (* y 2) -2) x) (+ (* y 2) -2) (/ 1 (/ (- (+ y x) 2) (- y x))) (/ (- (+ y x) 2) (- y x)) (/ (- 2 x) x) (- (- 2 y) y) (* y 2))
2.0ms	x	@	0	((/ 1 (/ (- (+ y x) 2) (- y x))) (/ (- (+ y x) 2) (- y x)) (- (/ (- (- 2 y) y) x) 1) (/ (- (- 2 y) y) x) (/ (- x y) (- 2 (+ x y))) (/ y (+ -2 y)) (* (+ (* -1/4 y) -1/2) y) (+ (* -1/4 y) -1/2) (/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (- 2 x) (/ (- x y) (- 2 (+ x y))) (- (/ (+ (* y 2) -2) x) 1) (/ (+ (* y 2) -2) x) (+ (* y 2) -2) (/ 1 (/ (- (+ y x) 2) (- y x))) (/ (- (+ y x) 2) (- y x)) (/ (- 2 x) x) (- (- 2 y) y) (* y 2))

simplify164.0ms (2.2%)

Memory

21.6MiB live, 223.4MiB allocated

Algorithm

1×	egg-herbie

Rules

9 232×	`lower-fma.f64`
9 232×	`lower-fma.f32`
4 702×	`lower-*.f64`
4 702×	`lower-*.f32`
3 248×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	535	5475
1	1650	5031
2	5316	4970
0	8481	4675

Stop Event

1×	iter limit
1×	node limit

Counts

372 → 372

Calls

Call 1

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

rewrite304.0ms (4.1%)

Memory

-13.6MiB live, 188.2MiB allocated

Rules

6 440×	`lower-*.f32`
6 436×	`lower-*.f64`
5 068×	`lower-/.f32`
5 056×	`lower-/.f64`
3 034×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	236
0	55	236
1	289	236
2	2395	236
0	9728	228

Stop Event

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

Counts

20 → 300

Calls

Call 1

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

Outputs
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eval383.0ms (5.2%)

Memory: -4.2MiB live, 149.8MiB allocated
Compiler: Compiled 11 551 to 1 849 computations (84% saved)

prune26.0ms (0.3%)

Memory

-5.6MiB live, 71.5MiB allocated

Pruning

17 alts after pruning (6 fresh and 11 done)

	Pruned	Kept	Total
New	700	4	704
Fresh	1	2	3
Picked	3	2	5
Done	0	9	9
Total	704	17	721

Accuracy

100.0%

Counts

721 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
✓	40.1%	(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 y)))
	34.2%	(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x)))
✓	28.4%	(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64))))
✓	52.8%	(/.f64 #s(approx (- x y) (neg.f64 y)) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
✓	99.9%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 y x)))
	48.2%	(/.f64 #s(literal 1 binary64) #s(approx (/ (- (+ y x) 2) (- y x)) (-.f64 (/.f64 #s(approx (- (- 2 y) y) #s(literal 2 binary64)) x) #s(literal 1 binary64))))
✓	52.5%	#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 #s(literal -2 binary64) y)))
✓	48.2%	#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x)))
	34.6%	#s(approx (/ (- x y) (- 2 (+ x y))) (-.f64 (/.f64 #s(approx (+ (* y 2) -2) (+.f64 y y)) x) #s(literal 1 binary64)))
	40.4%	#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)))
✓	14.5%	#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y)))
✓	15.0%	#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (.f64 #s(approx (+ ( -1/4 y) -1/2) #s(literal -1/2 binary64)) y)))
✓	39.9%	#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) #s(literal 1 binary64)))
	15.6%	#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)))
	15.8%	#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(literal 1/2 binary64) x)))
✓	33.8%	#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64))

Compiler

Compiled 334 to 227 computations (32% saved)

regimes26.0ms (0.4%)

Memory

20.5MiB live, 65.3MiB allocated

Counts

27 → 1

Calls

Call 1

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

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

Calls

3 calls:

10.0ms	y
8.0ms	x
7.0ms	(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))

Results

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

Compiler

Compiled 11 to 11 computations (0% saved)

regimes20.0ms (0.3%)

Memory

5.9MiB live, 44.6MiB allocated

Counts

20 → 2

Calls

Call 1

Inputs
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64))
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64))
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 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 (/ y (+ -2 y)) (*.f64 #s(literal -1/2 binary64) y)))
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (.f64 #s(approx (+ ( -1/4 y) -1/2) #s(literal -1/2 binary64)) y)))
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (.f64 #s(approx (+ ( -1/4 y) -1/2) (*.f64 #s(literal -1/4 binary64) y)) 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 (+ -2 y)) (*.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)))
(/.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)))
#s(approx (/ (- x y) (- 2 (+ x y))) (-.f64 (/.f64 #s(approx (+ (* y 2) -2) (+.f64 y y)) x) #s(literal 1 binary64)))
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)))
#s(approx (/ (- x y) (- 2 (+ x y))) (-.f64 (/.f64 #s(approx (+ (* y 2) -2) (*.f64 y #s(literal 2 binary64))) x) #s(literal 1 binary64)))
(/.f64 #s(approx (- x y) (neg.f64 y)) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
#s(approx (/ (- x y) (- 2 (+ x y))) (-.f64 #s(literal 1 binary64) (/.f64 (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	(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
6.0ms	x
6.0ms	y

Results

Accuracy	Segments	Branch
89.6%	3	`x`
76.6%	3	`y`
98.3%	2	`(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))`

Compiler

Compiled 11 to 11 computations (0% saved)

regimes24.0ms (0.3%)

Memory

-27.7MiB live, 11.3MiB allocated

Counts

15 → 3

Calls

Call 1

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

23.0ms

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

Results

Accuracy	Segments	Branch
98.2%	3	`(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes8.0ms (0.1%)

Memory

17.7MiB live, 17.7MiB allocated

Counts

11 → 4

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
76.1%	3	`x`
89.2%	4	`(/.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

9.0MiB live, 9.0MiB allocated

Counts

10 → 4

Calls

Call 1

Inputs
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64))
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64))
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 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 (/ y (+ -2 y)) (*.f64 #s(literal -1/2 binary64) y)))
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (.f64 #s(approx (+ ( -1/4 y) -1/2) #s(literal -1/2 binary64)) y)))
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (.f64 #s(approx (+ ( -1/4 y) -1/2) (*.f64 #s(literal -1/4 binary64) y)) 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 (+ -2 y)) (*.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(approx (/ y (+ -2 y)) (*.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))) #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
88.4%	4	`(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes34.0ms (0.5%)

Memory

-29.9MiB live, 9.3MiB allocated

Counts

9 → 4

Calls

Call 1

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

Calls

1 calls:

34.0ms

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

Results

Accuracy	Segments	Branch
86.3%	4	`(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes3.0ms (0%)

Memory

10.1MiB live, 10.1MiB allocated

Counts

8 → 4

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

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

Results

Accuracy	Segments	Branch
86.3%	4	`(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes3.0ms (0%)

Memory

9.2MiB live, 9.2MiB allocated

Counts

7 → 4

Calls

Call 1

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

Outputs
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64))
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 #s(literal -1/2 binary64) y)))
#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
86.2%	4	`(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes2.0ms (0%)

Memory

6.4MiB live, 6.4MiB allocated

Counts

4 → 3

Calls

Call 1

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

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
83.6%	3	`(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes8.0ms (0.1%)

Memory

-23.3MiB live, 17.0MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

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

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

#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 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:

4.0ms	x
2.0ms	y
2.0ms	(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))

Results

Accuracy	Segments	Branch
63.0%	3	`x`
61.5%	3	`y`
72.0%	2	`(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))`

Compiler

Compiled 11 to 11 computations (0% saved)

regimes4.0ms (0.1%)

Memory

13.0MiB live, 13.0MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
33.8%	1	`y`
33.8%	1	`x`
33.8%	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

1.4MiB live, 1.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-2.8844659760178664e-6	-1.7417022325007634e-19

Compiler

Compiled 12 to 12 computations (0% saved)

bsearch1.0ms (0%)

Memory

2.3MiB live, 2.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.2960356398254525e-10	5.236279367914095e-10
0.0ms	-2.8844659760178664e-6	-1.7417022325007634e-19

Compiler

Compiled 12 to 12 computations (0% saved)

bsearch1.0ms (0%)

Memory

2.5MiB live, 2.5MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	2.2960356398254525e-10	5.236279367914095e-10
0.0ms	2.481849241973217e-109	2.619376677890654e-108
0.0ms	-2.6768455689173323e-108	-1.9134663699435616e-110

Compiler

Compiled 12 to 12 computations (0% saved)

bsearch1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	0.016226435758386216	0.9999999995808075
0.0ms	2.481849241973217e-109	2.619376677890654e-108
0.0ms	-2.6768455689173323e-108	-1.9134663699435616e-110

Compiler

Compiled 12 to 12 computations (0% saved)

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	0.016226435758386216	0.9999999995808075
0.0ms	2.481849241973217e-109	2.619376677890654e-108
0.0ms	-2.8844659760178664e-6	-1.7417022325007634e-19

Compiler

Compiled 12 to 12 computations (0% saved)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	0.016226435758386216	0.9999999995808075
0.0ms	2.481849241973217e-109	2.619376677890654e-108
0.0ms	-2.8844659760178664e-6	-1.7417022325007634e-19

Compiler

Compiled 12 to 12 computations (0% saved)

bsearch1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	2.2960356398254525e-10	5.236279367914095e-10
0.0ms	2.481849241973217e-109	2.619376677890654e-108
0.0ms	-2.8844659760178664e-6	-1.7417022325007634e-19

Compiler

Compiled 12 to 12 computations (0% saved)

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.2960356398254525e-10	5.236279367914095e-10
0.0ms	-0.9907151911203036	-0.2203605655784224

Compiler

Compiled 12 to 12 computations (0% saved)

bsearch13.0ms (0.2%)

Memory

-18.1MiB live, 20.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	-9.553986824756314e-297	2.291814907409893e-284

Samples

6.0ms

176×

valid

Compiler

Compiled 56 to 122 computations (-117.9% 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)

simplify30.0ms (0.4%)

Memory

23.8MiB live, 62.2MiB allocated

Algorithm

1×	egg-herbie

Rules

18×	`+-commutative-binary64-+.f64`
14×	`-commutative-binary64-.f64`
14×	`sub-neg-binary64-neg.f64-+.f64--.f64`
6×	`neg-sub0-binary64--.f64-neg.f64`
6×	`neg-mul-1-binary64-*.f64-neg.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	83	727
1	99	727
2	111	727
3	119	727
4	122	727

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -4722366482869645/2361183241434822606848 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 -4722366482869645/2361183241434822606848 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 7737125245533627/19342813113834066795298816 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 -5288447750321989/2644223875160994395807661232131084159313618731857124877138595181097623164945245383300756841758861139390364848100093433217024 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 4230758200257591/10576895500643977583230644928524336637254474927428499508554380724390492659780981533203027367035444557561459392400373732868096 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 7737125245533627/19342813113834066795298816 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 -5288447750321989/2644223875160994395807661232131084159313618731857124877138595181097623164945245383300756841758861139390364848100093433217024 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 4230758200257591/10576895500643977583230644928524336637254474927428499508554380724390492659780981533203027367035444557561459392400373732868096 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 5764607523034235/288230376151711744 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 -4722366482869645/2361183241434822606848 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 4230758200257591/10576895500643977583230644928524336637254474927428499508554380724390492659780981533203027367035444557561459392400373732868096 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 5764607523034235/288230376151711744 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 -4722366482869645/2361183241434822606848 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 4230758200257591/10576895500643977583230644928524336637254474927428499508554380724390492659780981533203027367035444557561459392400373732868096 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (.f64 #s(literal -1/2 binary64) y))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 5764607523034235/288230376151711744 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 -4722366482869645/2361183241434822606848 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 4230758200257591/10576895500643977583230644928524336637254474927428499508554380724390492659780981533203027367035444557561459392400373732868096 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (.f64 #s(literal -1/2 binary64) y))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 7737125245533627/19342813113834066795298816 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 -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 7737125245533627/19342813113834066795298816 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 y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 y x)))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -4722366482869645/2361183241434822606848 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 y x))) #s(literal -4722366482869645/2361183241434822606848 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 -4722366482869645/2361183241434822606848 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 7737125245533627/19342813113834066795298816 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 y x))) #s(literal -4722366482869645/2361183241434822606848 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 y x))) #s(literal 7737125245533627/19342813113834066795298816 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 -5288447750321989/2644223875160994395807661232131084159313618731857124877138595181097623164945245383300756841758861139390364848100093433217024 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 4230758200257591/10576895500643977583230644928524336637254474927428499508554380724390492659780981533203027367035444557561459392400373732868096 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 7737125245533627/19342813113834066795298816 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 y x))) #s(literal -5288447750321989/2644223875160994395807661232131084159313618731857124877138595181097623164945245383300756841758861139390364848100093433217024 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 y x))) #s(literal 4230758200257591/10576895500643977583230644928524336637254474927428499508554380724390492659780981533203027367035444557561459392400373732868096 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 y x))) #s(literal 7737125245533627/19342813113834066795298816 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 -5288447750321989/2644223875160994395807661232131084159313618731857124877138595181097623164945245383300756841758861139390364848100093433217024 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 4230758200257591/10576895500643977583230644928524336637254474927428499508554380724390492659780981533203027367035444557561459392400373732868096 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 5764607523034235/288230376151711744 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 y x))) #s(literal -5288447750321989/2644223875160994395807661232131084159313618731857124877138595181097623164945245383300756841758861139390364848100093433217024 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 y x))) #s(literal 4230758200257591/10576895500643977583230644928524336637254474927428499508554380724390492659780981533203027367035444557561459392400373732868096 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (*.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 y x))) #s(literal 5764607523034235/288230376151711744 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 -4722366482869645/2361183241434822606848 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 4230758200257591/10576895500643977583230644928524336637254474927428499508554380724390492659780981533203027367035444557561459392400373732868096 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 5764607523034235/288230376151711744 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 y x))) #s(literal -4722366482869645/2361183241434822606848 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 y x))) #s(literal 4230758200257591/10576895500643977583230644928524336637254474927428499508554380724390492659780981533203027367035444557561459392400373732868096 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/2 binary64)) y))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 y x))) #s(literal 5764607523034235/288230376151711744 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 -4722366482869645/2361183241434822606848 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 4230758200257591/10576895500643977583230644928524336637254474927428499508554380724390492659780981533203027367035444557561459392400373732868096 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (.f64 #s(literal -1/2 binary64) y))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 5764607523034235/288230376151711744 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 y x))) #s(literal -4722366482869645/2361183241434822606848 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 y x))) #s(literal 4230758200257591/10576895500643977583230644928524336637254474927428499508554380724390492659780981533203027367035444557561459392400373732868096 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (.f64 #s(literal -1/2 binary64) y))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 y x))) #s(literal 5764607523034235/288230376151711744 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 -4722366482869645/2361183241434822606848 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 4230758200257591/10576895500643977583230644928524336637254474927428499508554380724390492659780981533203027367035444557561459392400373732868096 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (.f64 #s(literal -1/2 binary64) y))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 7737125245533627/19342813113834066795298816 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 y x))) #s(literal -4722366482869645/2361183241434822606848 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 y x))) #s(literal 4230758200257591/10576895500643977583230644928524336637254474927428499508554380724390492659780981533203027367035444557561459392400373732868096 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ -2 y)) (.f64 #s(literal -1/2 binary64) y))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 y x))) #s(literal 7737125245533627/19342813113834066795298816 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 -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 7737125245533627/19342813113834066795298816 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 y x))) #s(literal -1/2 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 y x))) #s(literal 7737125245533627/19342813113834066795298816 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 x y) (-.f64 #s(literal 2 binary64) (+.f64 y x))) #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))

soundness1.0s (13.7%)

Memory

-5.7MiB live, 656.4MiB allocated

Rules

12 038×	`lower-fma.f64`
12 038×	`lower-fma.f32`
9 232×	`lower-fma.f64`
9 232×	`lower-fma.f32`
7 742×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	525	4808
1	1619	4473
2	5262	4392
0	8438	4123
0	186	985
1	571	921
2	1809	857
3	7619	851
0	8589	806
0	535	5475
1	1650	5031
2	5316	4970
0	8481	4675

Stop Event

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

Compiler

Compiled 515 to 221 computations (57.1% saved)

preprocess177.0ms (2.4%)

Memory: -20.6MiB live, 160.9MiB allocated
Compiler: Compiled 864 to 178 computations (79.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

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

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

start0.0ms (0%)

analyze46.0ms (0.6%)

sample1.8s (24.4%)

explain81.0ms (1.1%)

preprocess250.0ms (3.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify31.0ms (0.4%)

localize30.0ms (0.4%)

series10.0ms (0.1%)

simplify172.0ms (2.3%)

rewrite198.0ms (2.7%)

eval94.0ms (1.3%)

prune25.0ms (0.3%)

simplify241.0ms (3.2%)

localize58.0ms (0.8%)

series29.0ms (0.4%)

simplify144.0ms (1.9%)

rewrite257.0ms (3.5%)

eval261.0ms (3.5%)

prune33.0ms (0.4%)

simplify78.0ms (1%)

localize55.0ms (0.7%)

series16.0ms (0.2%)

simplify367.0ms (4.9%)

rewrite148.0ms (2%)

eval266.0ms (3.6%)

prune47.0ms (0.6%)

simplify293.0ms (3.9%)

localize104.0ms (1.4%)

series27.0ms (0.4%)

simplify164.0ms (2.2%)

rewrite304.0ms (4.1%)

eval383.0ms (5.2%)

prune26.0ms (0.3%)

regimes26.0ms (0.4%)

regimes20.0ms (0.3%)

regimes24.0ms (0.3%)

regimes8.0ms (0.1%)

regimes4.0ms (0.1%)

regimes34.0ms (0.5%)

regimes3.0ms (0%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes8.0ms (0.1%)

regimes4.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch13.0ms (0.2%)

simplify30.0ms (0.4%)

soundness1.0s (13.7%)

preprocess177.0ms (2.4%)

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