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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze21.0ms (0.3%)

Memory

-5.8MiB live, 35.0MiB 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
76.6%	76.5%	23.4%	0.1%	0%	0%	0%	7
82%	82%	18%	0.1%	0%	0%	0%	8
87.9%	87.8%	12.1%	0.1%	0%	0%	0%	9
90.8%	90.7%	9.2%	0.1%	0%	0%	0%	10
93.8%	93.8%	6.1%	0.1%	0%	0%	0%	11
95.4%	95.3%	4.6%	0.1%	0%	0%	0%	12

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample1.6s (23.7%)

Memory

15.5MiB live, 835.5MiB allocated

Samples

1.2s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 848.0ms

ival-sub: 394.0ms (46.5% of total)

ival-add: 298.0ms (35.2% of total)

ival-div: 148.0ms (17.5% of total)

ival-true: 6.0ms (0.7% of total)

ival-assert: 3.0ms (0.4% of total)

Bogosity

explain55.0ms (0.8%)

Memory

-20.9MiB live, 116.5MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(/.f64 (-.f64 x y) (+.f64 x y))`
-	-	`y`
-	-	`(-.f64 x y)`
-	-	`(+.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

27.0ms

512×

valid

Compiler

Compiled 43 to 19 computations (55.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-sub: 3.0ms (31.8% of total)

ival-div: 3.0ms (31.8% of total)

ival-add: 3.0ms (31.8% of total)

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

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

preprocess62.0ms (0.9%)

Memory

16.5MiB live, 94.6MiB allocated

Algorithm

1×	egg-herbie

Rules

410×	`times-frac`
304×	`lower-fma.f64`
304×	`lower-fma.f32`
228×	`associate-l`
182×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	41
1	50	37
2	122	35
3	313	35
4	821	35
5	1352	35
6	1401	35
7	1441	35
8	1484	35
9	1496	35
0	5	7
0	8	7
1	14	7
2	21	7
3	33	7
4	60	7
5	104	7
6	171	7
7	279	7
8	458	7
9	773	7
10	781	7
11	819	7
12	848	7
0	848	7

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (-.f64 x y) (+.f64 x y))

Outputs
(/.f64 (-.f64 x y) (+.f64 x y))

Compiler

Compiled 9 to 5 computations (44.4% saved)

eval0.0ms (0%)

Memory: 0.6MiB live, 0.6MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 (-.f64 x y) (+.f64 x y))

Compiler

Compiled 9 to 5 computations (44.4% saved)

simplify24.0ms (0.3%)

Memory

-9.5MiB live, 29.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(+.f64 x y)
cost-diff	0	(-.f64 x y)
cost-diff	0	(/.f64 (-.f64 x y) (+.f64 x y))

Rules

304×	`lower-fma.f64`
304×	`lower-fma.f32`
176×	`lower-*.f64`
176×	`lower-*.f32`
142×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	15
0	8	15
1	14	15
2	21	15
3	33	15
4	60	15
5	104	15
6	171	15
7	279	15
8	458	15
9	773	15
10	781	15
11	819	15
12	848	15
0	848	15

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(/.f64 (-.f64 x y) (+.f64 x y))
(-.f64 x y)
x
y
(+.f64 x y)

Outputs
(/.f64 (-.f64 x y) (+.f64 x y))
(-.f64 x y)
x
y
(+.f64 x y)

localize22.0ms (0.3%)

Memory

16.0MiB live, 56.6MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 x y)
accuracy	0	(+.f64 x y)
accuracy	0.024101269536884032	(/.f64 (-.f64 x y) (+.f64 x y))

Samples

12.0ms

256×

valid

Compiler

Compiled 17 to 7 computations (58.8% saved)

Precisions

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

ival-div: 2.0ms (43.8% of total)

ival-sub: 1.0ms (21.9% of total)

ival-add: 1.0ms (21.9% of total)

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

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

series6.0ms (0.1%)

Memory

-26.0MiB live, 12.4MiB allocated

Counts

3 → 72

Calls

Call 1

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

Inputs

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

#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())

#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())

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

Calls

18 calls:

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

simplify195.0ms (2.8%)

Memory

34.9MiB live, 348.4MiB allocated

Algorithm

1×	egg-herbie

Rules

11 876×	`lower-fma.f64`
11 876×	`lower-fma.f32`
3 410×	`lower-*.f64`
3 410×	`lower-*.f32`
2 360×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	142	462
1	439	432
2	1229	387
3	4744	375
0	8368	351

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 63

Calls

Call 1

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

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

rewrite231.0ms (3.4%)

Memory

-14.7MiB live, 304.9MiB allocated

Rules

3 962×	`lower-*.f64`
3 962×	`lower-*.f32`
3 438×	`lower-/.f32`
3 436×	`lower-/.f64`
2 768×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	13
0	8	13
1	39	13
2	309	13
3	5153	13
0	8671	13

Stop Event

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

Counts

3 → 497

Calls

Call 1

Inputs
(/.f64 (-.f64 x y) (+.f64 x y))
(-.f64 x y)
(+.f64 x y)

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

eval69.0ms (1%)

Memory: -0.4MiB live, 153.6MiB allocated
Compiler: Compiled 14 469 to 1 238 computations (91.4% saved)

prune183.0ms (2.7%)

Memory

-1.4MiB live, 162.6MiB allocated

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	553	7	560
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	553	8	561

Accuracy

100.0%

Counts

561 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	76.5%	(/.f64 (-.f64 (+.f64 x y) (.f64 (/.f64 (+.f64 x y) x) y)) (.f64 (/.f64 (+.f64 x y) x) (+.f64 x y)))
✓	100.0%	(/.f64 (-.f64 x y) (+.f64 x y))
▶	53.0%	(/.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 x y))
▶	100.0%	(-.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 x y)))
▶	49.2%	#s(approx (/ (- x y) (+ x y)) (fma.f64 y (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64)))
	52.3%	#s(approx (/ (- x y) (+ x y)) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (+.f64 (/.f64 (+.f64 x x) y) #s(literal -2 binary64))) y)))
▶	47.7%	#s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64))
▶	52.0%	#s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64))

Compiler

Compiled 165 to 87 computations (47.3% saved)

simplify70.0ms (1%)

Memory

-2.4MiB live, 35.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 #s(literal -2 binary64) x)
cost-diff	0	(fma.f64 y (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (- x y) (+ x y)) (fma.f64 y (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64)))
cost-diff	0	(+.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 x y))
cost-diff	0	#s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64))
cost-diff	0	(/.f64 y (+.f64 x y))
cost-diff	0	(+.f64 x y)
cost-diff	0	(/.f64 x (+.f64 x y))
cost-diff	896	(-.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 x y)))

Rules

608×	`lower-fma.f32`
606×	`lower-fma.f64`
416×	`lower-*.f64`
416×	`lower-*.f32`
288×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	96
0	29	92
1	41	92
2	54	92
3	80	92
4	125	92
5	181	92
6	271	92
7	434	92
8	846	92
9	1120	92
10	1369	92
11	1434	92
12	1469	92
13	1505	92
14	1514	92
0	1514	92

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize61.0ms (0.9%)

Memory

8.5MiB live, 46.9MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 #s(literal -2 binary64) x)
accuracy	0.12109375	(fma.f64 y (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64))
accuracy	32.50345050396362	#s(approx (/ (- x y) (+ x y)) (fma.f64 y (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64)))
accuracy	0	(+.f64 x y)
accuracy	0	(neg.f64 y)
accuracy	0.024101269536884032	(/.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 x y))
accuracy	30.141908559959745	#s(approx (- x y) (neg.f64 y))
accuracy	33.45120798903218	#s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64))
accuracy	30.69730195857718	#s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64))
accuracy	0	(+.f64 x y)
accuracy	0.0078125	(/.f64 x (+.f64 x y))
accuracy	0.01171875	(/.f64 y (+.f64 x y))
accuracy	0.02734375	(-.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 x y)))

Samples

26.0ms

256×

valid

Compiler

Compiled 82 to 17 computations (79.3% saved)

Precisions

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

ival-div: 7.0ms (47.1% of total)

ival-add: 3.0ms (20.2% of total)

ival-sub: 2.0ms (13.5% of total)

ival-mult: 2.0ms (13.5% of total)

ival-neg: 1.0ms (6.7% of total)

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

exact: 0.0ms (0% of total)

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

series15.0ms (0.2%)

Memory

19.1MiB live, 19.1MiB allocated

Counts

12 → 264

Calls

Call 1

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

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

Calls

66 calls:

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

simplify351.0ms (5.1%)

Memory

-2.8MiB live, 270.7MiB allocated

Algorithm

1×	egg-herbie

Rules

12 400×	`lower-fma.f64`
12 400×	`lower-fma.f32`
3 276×	`lower-*.f64`
3 276×	`lower-*.f32`
3 100×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	369	2670
1	1185	2566
2	3208	2240
0	8166	2056

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 255

Calls

Call 1

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

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

rewrite718.0ms (10.5%)

Memory

11.5MiB live, 327.8MiB allocated

Rules

6 558×	`lower-fma.f32`
6 556×	`lower-fma.f64`
4 418×	`lower-*.f64`
4 418×	`lower-*.f32`
4 344×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	83
0	29	79
1	115	79
2	963	79
0	8874	79

Stop Event

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

Counts

12 → 986

Calls

Call 1

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

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

eval591.0ms (8.6%)

Memory: 17.6MiB live, 363.4MiB allocated
Compiler: Compiled 36 956 to 2 755 computations (92.5% saved)

prune272.0ms (4%)

Memory

-31.2MiB live, 387.6MiB allocated

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	1 395	2	1 397
Fresh	2	0	2
Picked	0	5	5
Done	0	1	1
Total	1 397	8	1 405

Accuracy

100.0%

Counts

1 405 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (-.f64 x y) (+.f64 x y))
✓	53.0%	(/.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 x y))
✓	100.0%	(-.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 x y)))
▶	100.0%	(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) x)) (/.f64 y (+.f64 x y)))
✓	49.2%	#s(approx (/ (- x y) (+ x y)) (fma.f64 y (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64)))
▶	52.3%	#s(approx (/ (- x y) (+ x y)) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) (/.f64 x y) #s(literal -2 binary64))) y)))
✓	47.7%	#s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64))
✓	52.0%	#s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64))

Compiler

Compiled 78 to 46 computations (41% saved)

simplify584.0ms (8.5%)

Memory

16.7MiB live, 133.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 x y)
cost-diff	0	(/.f64 (+.f64 x y) x)
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) x))
cost-diff	896	(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) x)) (/.f64 y (+.f64 x y)))
cost-diff	0	(*.f64 x (fma.f64 #s(literal 2 binary64) (/.f64 x y) #s(literal -2 binary64)))
cost-diff	0	(/.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) (/.f64 x y) #s(literal -2 binary64))) y)
cost-diff	0	#s(approx (/ (- x y) (+ x y)) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) (/.f64 x y) #s(literal -2 binary64))) y)))
cost-diff	128	(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) (/.f64 x y) #s(literal -2 binary64))) y))

Rules

3 304×	`lower-fma.f32`
3 302×	`lower-fma.f64`
1 776×	`lower-*.f32`
1 774×	`lower-*.f64`
1 080×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	100
0	31	94
1	57	94
2	98	92
3	173	92
4	392	92
5	993	92
6	2034	92
7	3071	92
8	3705	92
9	3801	92
10	3828	92
11	3846	92
12	3890	92
13	4424	92
14	4668	92
15	4706	92
16	4710	92
17	4710	92
18	4710	92
19	4710	92
20	4862	92
21	4888	92
22	4942	92
23	4942	92
24	5126	92
25	5358	92
26	5457	92
27	5523	92
28	5545	92
29	5553	92
30	5553	92
31	5553	92
32	5565	92
33	5583	92
34	5637	92
35	5637	92
0	5637	90

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize93.0ms (1.4%)

Memory

-6.0MiB live, 106.0MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(/.f64 (+.f64 x y) x)
accuracy	0.01171875	(/.f64 y (+.f64 x y))
accuracy	0.02734375	(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) x)) (/.f64 y (+.f64 x y)))
accuracy	0.40077691131666926	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) x))
accuracy	0.00390625	(fma.f64 #s(literal 2 binary64) (/.f64 x y) #s(literal -2 binary64))
accuracy	0.05859375	(*.f64 x (fma.f64 #s(literal 2 binary64) (/.f64 x y) #s(literal -2 binary64)))
accuracy	1.2554645024369593	(/.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) (/.f64 x y) #s(literal -2 binary64))) y)
accuracy	30.537059062992302	#s(approx (/ (- x y) (+ x y)) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) (/.f64 x y) #s(literal -2 binary64))) y)))

Samples

77.0ms

256×

valid

Compiler

Compiled 93 to 21 computations (77.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 64.0ms

ival-add: 44.0ms (68.4% of total)

ival-div: 13.0ms (20.2% of total)

ival-sub: 4.0ms (6.2% of total)

ival-mult: 3.0ms (4.7% of total)

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

exact: 0.0ms (0% of total)

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

series21.0ms (0.3%)

Memory

-6.2MiB live, 41.0MiB allocated

Counts

10 → 240

Calls

Call 1

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

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

Calls

60 calls:

Time	Variable		Point	Expression
5.0ms	x	@	inf	(* x (+ (* 2 (/ x y)) -2))
2.0ms	x	@	inf	(/ (+ x y) x)
1.0ms	x	@	inf	(- -1 (/ (* x (+ (* 2 (/ x y)) -2)) y))
0.0ms	x	@	0	(- -1 (/ (* x (+ (* 2 (/ x y)) -2)) y))
0.0ms	x	@	0	(/ (* x (+ (* 2 (/ x y)) -2)) y)

simplify331.0ms (4.8%)

Memory

-14.5MiB live, 497.7MiB allocated

Algorithm

1×	egg-herbie

Rules

14 560×	`lower-fma.f64`
14 560×	`lower-fma.f32`
3 880×	`lower-*.f64`
3 880×	`lower-*.f32`
3 352×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	411	2540
1	1315	2376
2	3597	2147
0	8565	2021

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 234

Calls

Call 1

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

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

rewrite287.0ms (4.2%)

Memory

34.5MiB live, 597.1MiB allocated

Rules

5 420×	`lower-/.f32`
5 410×	`lower-/.f64`
5 220×	`lower-*.f32`
5 218×	`lower-*.f64`
4 586×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	89
0	31	83
1	149	81
2	1337	81
0	8566	81

Stop Event

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

Counts

10 → 564

Calls

Call 1

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

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

eval108.0ms (1.6%)

Memory: 7.2MiB live, 280.3MiB allocated
Compiler: Compiled 19 577 to 2 091 computations (89.3% saved)

prune382.0ms (5.6%)

Memory

-27.3MiB live, 237.2MiB allocated

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	863	0	863
Fresh	0	0	0
Picked	0	2	2
Done	0	6	6
Total	863	8	871

Accuracy

100.0%

Counts

871 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (-.f64 x y) (+.f64 x y))
✓	53.0%	(/.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 x y))
✓	100.0%	(-.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 x y)))
✓	100.0%	(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) x)) (/.f64 y (+.f64 x y)))
✓	49.2%	#s(approx (/ (- x y) (+ x y)) (fma.f64 y (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64)))
✓	52.3%	#s(approx (/ (- x y) (+ x y)) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) (/.f64 x y) #s(literal -2 binary64))) y)))
✓	47.7%	#s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64))
✓	52.0%	#s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64))

Compiler

Compiled 177 to 80 computations (54.8% saved)

regimes12.0ms (0.2%)

Memory

-17.2MiB live, 21.6MiB allocated

Counts

10 → 1

Calls

Call 1

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

Outputs
(/.f64 (-.f64 x y) (+.f64 x y))

Calls

3 calls:

4.0ms	(/.f64 (-.f64 x y) (+.f64 x y))
4.0ms	y
4.0ms	x

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(/.f64 (-.f64 x y) (+.f64 x y))`

Compiler

Compiled 15 to 9 computations (40% saved)

regimes6.0ms (0.1%)

Memory

13.1MiB live, 13.1MiB allocated

Counts

4 → 2

Calls

Call 1

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

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

Calls

3 calls:

2.0ms	y
2.0ms	x
2.0ms	(/.f64 (-.f64 x y) (+.f64 x y))

Results

Accuracy	Segments	Branch
79.4%	3	`x`
78.7%	3	`y`
98.8%	2	`(/.f64 (-.f64 x y) (+.f64 x y))`

Compiler

Compiled 15 to 9 computations (40% saved)

regimes2.0ms (0%)

Memory

4.3MiB live, 4.3MiB allocated

Counts

3 → 2

Calls

Call 1

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

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

Calls

1 calls:

1.0ms

(/.f64 (-.f64 x y) (+.f64 x y))

Results

Accuracy	Segments	Branch
98.2%	2	`(/.f64 (-.f64 x y) (+.f64 x y))`

Compiler

Compiled 9 to 5 computations (44.4% saved)

regimes2.0ms (0%)

Memory

3.3MiB live, 3.3MiB allocated

Counts

2 → 2

Calls

Call 1

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

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

Calls

1 calls:

1.0ms

(/.f64 (-.f64 x y) (+.f64 x y))

Results

Accuracy	Segments	Branch
98.2%	2	`(/.f64 (-.f64 x y) (+.f64 x y))`

Compiler

Compiled 9 to 5 computations (44.4% saved)

regimes6.0ms (0.1%)

Memory

-29.9MiB live, 8.4MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

4.0ms	x
1.0ms	y
1.0ms	(/.f64 (-.f64 x y) (+.f64 x y))

Results

Accuracy	Segments	Branch
52.0%	1	`y`
52.0%	1	`x`
52.0%	1	`(/.f64 (-.f64 x y) (+.f64 x y))`

Compiler

Compiled 15 to 9 computations (40% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9886389721758696	0.9988900858412041

Compiler

Compiled 12 to 10 computations (16.7% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9886389721758696	0.9988900858412041

Compiler

Compiled 12 to 10 computations (16.7% saved)

bsearch13.0ms (0.2%)

Memory

20.0MiB live, 20.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	-0.9886389721758696	0.9988900858412041

Samples

4.0ms

240×

valid

Compiler

Compiled 162 to 130 computations (19.8% saved)

Precisions

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

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

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

simplify11.0ms (0.2%)

Memory

-23.0MiB live, 14.6MiB allocated

Algorithm

1×	egg-herbie

Rules

6×	`+-commutative_binary64`
4×	`sub-neg_binary64`
2×	`*-commutative_binary64`
2×	`1-exp_binary64`
2×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	107
1	33	107
2	36	107
3	37	107

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (-.f64 x y) (+.f64 x y))
(if (<=.f64 (/.f64 (-.f64 x y) (+.f64 x y)) #s(literal -1/2 binary64)) (/.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 x y)) #s(approx (/ (- x y) (+ x y)) (fma.f64 y (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (-.f64 x y) (+.f64 x y)) #s(literal -1/2 binary64)) (/.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 x y)) #s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (-.f64 x y) (+.f64 x y)) #s(literal -202402253307311/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64)) #s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64)))
#s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64))

Outputs
(/.f64 (-.f64 x y) (+.f64 x y))
(if (<=.f64 (/.f64 (-.f64 x y) (+.f64 x y)) #s(literal -1/2 binary64)) (/.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 x y)) #s(approx (/ (- x y) (+ x y)) (fma.f64 y (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (-.f64 x y) (+.f64 x y)) #s(literal -1/2 binary64)) (/.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 x y)) #s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (-.f64 x y) (+.f64 x y)) #s(literal -202402253307311/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64)) #s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64)))
#s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64))

soundness355.0ms (5.2%)

Memory

12.6MiB live, 207.2MiB allocated

Rules

11 876×	`lower-fma.f64`
11 876×	`lower-fma.f32`
3 410×	`lower-*.f64`
3 410×	`lower-*.f32`
2 360×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	142	462
1	439	432
2	1229	387
3	4744	375
0	8368	351

Stop Event

1×	done
1×	iter limit
1×	node limit

Compiler

Compiled 98 to 43 computations (56.1% saved)

preprocess60.0ms (0.9%)

Memory: 6.6MiB live, 122.6MiB allocated
Compiler: Compiled 180 to 60 computations (66.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	5	15
0	8	15
1	14	15
2	21	15
3	33	15
4	60	15
5	104	15
6	171	15
7	279	15
8	458	15
9	773	15
10	781	15
11	819	15
12	848	15
0	848	15

Iter	Nodes	Cost
0	5	15
0	8	15
1	14	15
2	21	15
3	33	15
4	60	15
5	104	15
6	171	15
7	279	15
8	458	15
9	773	15
10	781	15
11	819	15
12	848	15
0	848	15

start0.0ms (0%)

analyze21.0ms (0.3%)

sample1.6s (23.7%)

explain55.0ms (0.8%)

preprocess62.0ms (0.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify24.0ms (0.3%)

localize22.0ms (0.3%)

series6.0ms (0.1%)

simplify195.0ms (2.8%)

rewrite231.0ms (3.4%)

eval69.0ms (1%)

prune183.0ms (2.7%)

simplify70.0ms (1%)

localize61.0ms (0.9%)

series15.0ms (0.2%)

simplify351.0ms (5.1%)

rewrite718.0ms (10.5%)

eval591.0ms (8.6%)

prune272.0ms (4%)

simplify584.0ms (8.5%)

localize93.0ms (1.4%)

series21.0ms (0.3%)

simplify331.0ms (4.8%)

rewrite287.0ms (4.2%)

eval108.0ms (1.6%)

prune382.0ms (5.6%)

regimes12.0ms (0.2%)

regimes6.0ms (0.1%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes6.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch13.0ms (0.2%)

simplify11.0ms (0.2%)

soundness355.0ms (5.2%)

preprocess60.0ms (0.9%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	5	15
0	8	15
1	14	15
2	21	15
3	33	15
4	60	15
5	104	15
6	171	15
7	279	15
8	458	15
9	773	15
10	781	15
11	819	15
12	848	15
0	848	15