Metrics for Linear.Projection:perspective from linear-1.19.1.3, A

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze12.0ms (0.2%)

Memory

-13.7MiB live, 24.6MiB 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
50%	50%	50%	0.1%	0%	0%	0%	3
50%	50%	50%	0.1%	0%	0%	0%	4
75%	74.9%	25%	0.1%	0%	0%	0%	5
75%	74.9%	25%	0.1%	0%	0%	0%	6
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	7
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	8
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	9
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	10
96.9%	96.8%	3.1%	0.1%	0%	0%	0%	11
96.9%	96.8%	3.1%	0.1%	0%	0%	0%	12

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample809.0ms (15.8%)

Memory

-3.0MiB live, 956.1MiB allocated

Samples

534.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 300.0ms

ival-add: 140.0ms (46.7% of total)

ival-div: 105.0ms (35% of total)

ival-sub: 46.0ms (15.3% of total)

ival-true: 6.0ms (2% of total)

ival-assert: 3.0ms (1% of total)

Bogosity

explain50.0ms (1%)

Memory

21.4MiB live, 59.6MiB allocated

FPErrors

Click to see full error table

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

20.0ms

512×

valid

Compiler

Compiled 41 to 19 computations (53.7% saved)

Precisions

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

ival-sub: 3.0ms (32.8% of total)

ival-div: 3.0ms (32.8% of total)

ival-add: 3.0ms (32.8% of total)

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

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

preprocess121.0ms (2.4%)

Memory

-0.8MiB live, 35.8MiB allocated

Algorithm

1×	egg-herbie

Rules

528×	`times-frac`
304×	`lower-fma.f64`
304×	`lower-fma.f32`
250×	`div-sub`
216×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	41
1	41	37
2	96	35
3	249	35
4	642	35
5	1390	35
6	1427	35
7	1431	35
8	1499	35
9	1556	35
0	5	7
0	8	7
1	11	7
2	16	7
3	22	7
4	31	7
5	54	7
6	90	7
7	129	7
8	213	7
9	439	7
10	843	7
11	970	7
12	972	7
13	1010	7
14	1039	7
0	1039	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))
(/.f64 (+.f64 y x) (-.f64 x y))

Compiler

Compiled 7 to 5 computations (28.6% saved)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify98.0ms (1.9%)

Memory

-22.6MiB live, 19.7MiB 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`
216×	`times-frac`
200×	`div-sub`
176×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	15
0	8	15
1	11	15
2	16	15
3	22	15
4	31	15
5	54	15
6	90	15
7	129	15
8	213	15
9	439	15
10	843	15
11	970	15
12	972	15
13	1010	15
14	1039	15
0	1039	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 (+.f64 y x) (-.f64 x y))
(+.f64 x y)
(+.f64 y x)
x
y
(-.f64 x y)

localize14.0ms (0.3%)

Memory

15.5MiB live, 15.5MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 x y)
accuracy	0	(+.f64 x y)
accuracy	0.02734375	(/.f64 (+.f64 x y) (-.f64 x y))

Samples

9.0ms

256×

valid

Compiler

Compiled 17 to 7 computations (58.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-div: 2.0ms (46% of total)

ival-sub: 1.0ms (23% of total)

ival-add: 1.0ms (23% of total)

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

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

series5.0ms (0.1%)

Memory

4.9MiB live, 4.9MiB 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 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 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 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 (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 y)) (+ 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 y)) (/ (* x (- (* -1 x) x)) (pow y 2))) (+ 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 y)) (/ (* (pow x 2) (- (* -1 x) x)) (pow y 3))) (+ 1 (+ (* -1 (/ (* x (- (* -1 x) x)) (pow y 2))) (/ x y)))) (taylor inf y) (#s(alt (/.f64 (+.f64 x y) (-.f64 x y)) (patch (/.f64 (+.f64 x y) (-.f64 x y)) #<representation:binary64>) () ())) ())
#s(alt y (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation:binary64>) () ())) ())
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation:binary64>) () ())) ())
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation:binary64>) () ())) ())
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation:binary64>) () ())) ())
#s(alt (* -1 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 (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 (* -1 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 (/ (- (+ x (/ (* x (- x (* -1 x))) y)) (* -1 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 (/ (- (+ x (* -1 (/ (- (* -1 (/ (* (pow x 2) (- x (* -1 x))) y)) (* x (- x (* -1 x)))) y))) (* -1 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 y (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1))) (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1))) (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1))) (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation:binary64>) () ())) ())
#s(alt (* -1 y) (taylor -inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1 (* -1 (/ x y))))) (taylor -inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1 (* -1 (/ x y))))) (taylor -inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1 (* -1 (/ x y))))) (taylor -inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation:binary64>) () ())) ())
#s(alt -1 (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 y (taylor 0 x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation:binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation:binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation:binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation:binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation:binary64>) () ())) ())
#s(alt (- x y) (taylor 0 x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation:binary64>) () ())) ())
#s(alt (- x y) (taylor 0 x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation:binary64>) () ())) ())
#s(alt (- x y) (taylor 0 x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation:binary64>) () ())) ())
#s(alt 1 (taylor inf x) (#s(alt (/.f64 (+.f64 x y) (-.f64 x y)) (patch (/.f64 (+.f64 x y) (-.f64 x y)) #<representation:binary64>) () ())) ())
#s(alt (- (+ 1 (/ y x)) (* -1 (/ 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 (+ (/ y x) (/ (* y (- y (* -1 y))) (pow x 2)))) (* -1 (/ 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 (+ (/ y x) (/ (* (pow y 2) (- y (* -1 y))) (pow x 3)))) (+ (* -1 (/ y x)) (* -1 (/ (* y (- y (* -1 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 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 (* x (+ 1 (* -1 (/ y x)))) (taylor inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation:binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ y x)))) (taylor inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation:binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ y x)))) (taylor inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation:binary64>) () ())) ())
#s(alt 1 (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 (/ y x)) (* -1 (/ 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 (- y (* -1 y))) (* -1 (/ (* y (- y (* -1 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 (- y (* -1 y))) (* -1 (/ (+ (* y (- y (* -1 y))) (/ (* (pow y 2) (- y (* -1 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 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 -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>) () ())) ())

Calls

6 calls:

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

simplify382.0ms (7.5%)

Memory

-18.9MiB live, 176.3MiB allocated

Algorithm

1×	egg-herbie

Rules

11 976×	`lower-fma.f64`
11 976×	`lower-fma.f32`
3 278×	`lower-*.f64`
3 278×	`lower-*.f32`
1 780×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	140	458
1	432	439
2	1258	395
3	5371	377
0	8476	347

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 63

Calls

Call 1

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

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

rewrite244.0ms (4.8%)

Memory

46.8MiB live, 197.8MiB allocated

Rules

4 620×	`lower-*.f64`
4 620×	`lower-*.f32`
3 766×	`lower-fma.f64`
3 766×	`lower-fma.f32`
3 010×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	13
0	8	13
1	36	13
2	275	13
3	4496	13
0	8990	13

Stop Event

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

Counts

3 → 463

Calls

Call 1

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

Outputs
(.f64 (pow.f64 (/.f64 (-.f64 y x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (neg.f64 (-.f64 (hypot.f64 y x) (.f64 y x))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (-.f64 x y) (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (neg.f64 (-.f64 (hypot.f64 y x) (.f64 y x))) #s(literal -1 binary64)))
(.f64 (pow.f64 (.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (.f64 (/.f64 (+.f64 y x) (fma.f64 y x (hypot.f64 y x))) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 (hypot.f64 y x) (.f64 y x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 y x (hypot.f64 y x)) (+.f64 y x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 x y) (fma.f64 y x (hypot.f64 y x))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 (/.f64 (+.f64 y x) (fma.f64 y x (hypot.f64 y x))) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 (hypot.f64 y x) (*.f64 y x)) (+.f64 y x)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 (/.f64 (+.f64 y x) (fma.f64 y x (hypot.f64 y x))) #s(literal 1 binary64)) (.f64 (/.f64 (+.f64 y x) (fma.f64 y x (hypot.f64 y x))) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 (hypot.f64 y x) (.f64 y x)) (fma.f64 y x (hypot.f64 y x))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 (/.f64 (+.f64 y x) (fma.f64 y x (hypot.f64 y x))) #s(literal 1 binary64)) (fma.f64 (neg.f64 y) y (.f64 x x))) #s(literal -1 binary64)) (pow.f64 (.f64 (-.f64 (hypot.f64 y x) (*.f64 y x)) (-.f64 x y)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 (/.f64 (+.f64 y x) (fma.f64 y x (hypot.f64 y x))) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 (hypot.f64 y x) (.f64 y x)) (pow.f64 (-.f64 (hypot.f64 y x) (.f64 y x)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (*.f64 (/.f64 (+.f64 y x) (fma.f64 y x (hypot.f64 y x))) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (fma.f64 y x (hypot.f64 y x))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (.f64 (/.f64 (+.f64 y x) (fma.f64 y x (hypot.f64 y x))) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 y x (hypot.f64 y x)) #s(literal -1 binary64)) (fma.f64 y x (hypot.f64 y x))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 y x (hypot.f64 y x)) #s(literal -1 binary64)) (pow.f64 (-.f64 (hypot.f64 y x) (.f64 y x)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 (/.f64 (+.f64 y x) (fma.f64 y x (hypot.f64 y x))) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 x y) (fma.f64 y x (hypot.f64 y x))) #s(literal -1 binary64)))
(.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 x y) (pow.f64 (-.f64 (hypot.f64 y x) (.f64 y x)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (.f64 (-.f64 (hypot.f64 y x) (*.f64 y x)) (-.f64 x y)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (neg.f64 (+.f64 y x)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 y x) #s(literal -1 binary64)))
(.f64 (/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 x y)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 y x) y) #s(literal 2 binary64)))) (-.f64 (.f64 x x) (.f64 (-.f64 y x) y)))
(.f64 (/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 x y)) (hypot.f64 (pow.f64 (.f64 (-.f64 y x) y) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (.f64 (-.f64 y x) y) (-.f64 (.f64 (-.f64 y x) y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (/.f64 (+.f64 y x) (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y x (hypot.f64 y x))))
(.f64 (pow.f64 (.f64 (/.f64 (+.f64 y x) (fma.f64 y x (hypot.f64 y x))) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (pow.f64 (-.f64 (hypot.f64 y x) (*.f64 y x)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (.f64 (/.f64 (+.f64 y x) (fma.f64 y x (hypot.f64 y x))) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 (hypot.f64 y x) (*.f64 y x)) (+.f64 y x)) #s(literal -1 binary64)))
(.f64 (pow.f64 (.f64 (/.f64 (+.f64 y x) (fma.f64 y x (hypot.f64 y x))) #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (pow.f64 (-.f64 (hypot.f64 y x) (.f64 y x)) #s(literal -1 binary64)) (+.f64 y x)))
(.f64 (pow.f64 (.f64 (/.f64 (+.f64 y x) (fma.f64 y x (hypot.f64 y x))) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (+.f64 y x) (-.f64 (hypot.f64 y x) (*.f64 y x))))
(.f64 (pow.f64 (/.f64 (-.f64 x y) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (hypot.f64 y x) (.f64 y x)) #s(literal -1 binary64)))
(*.f64 (/.f64 (neg.f64 (+.f64 y x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y x (hypot.f64 y x))))
(.f64 (.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (*.f64 (/.f64 (+.f64 y x) (fma.f64 y x (hypot.f64 y x))) #s(literal 1 binary64))) (fma.f64 y x (hypot.f64 y x)))
(*.f64 (pow.f64 (/.f64 (-.f64 x y) (+.f64 y x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (-.f64 x y) (+.f64 y x)) #s(literal -1/2 binary64)))
(.f64 (/.f64 (+.f64 y x) (.f64 (+.f64 y x) (-.f64 y x))) (neg.f64 (+.f64 y x)))
(.f64 (/.f64 (neg.f64 (+.f64 y x)) (fma.f64 (neg.f64 y) y (.f64 x x))) (neg.f64 (+.f64 y x)))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 (-.f64 (hypot.f64 y x) (.f64 y x)) #s(literal -1 binary64)) (-.f64 x y)))
(*.f64 (/.f64 (+.f64 y x) #s(literal 1 binary64)) (pow.f64 (-.f64 x y) #s(literal -1 binary64)))
(.f64 (/.f64 (+.f64 y x) (.f64 (/.f64 (+.f64 y x) (fma.f64 y x (hypot.f64 y x))) #s(literal 1 binary64))) (pow.f64 (-.f64 (hypot.f64 y x) (*.f64 y x)) #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 (/.f64 (+.f64 y x) (fma.f64 y x (hypot.f64 y x))) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 y x (hypot.f64 y x)) (-.f64 x y)))
(.f64 (/.f64 (.f64 (/.f64 (+.f64 y x) (fma.f64 y x (hypot.f64 y x))) #s(literal 1 binary64)) (.f64 (/.f64 (+.f64 y x) (fma.f64 y x (hypot.f64 y x))) #s(literal 1 binary64))) (/.f64 (fma.f64 y x (hypot.f64 y x)) (-.f64 (hypot.f64 y x) (.f64 y x))))
(.f64 (/.f64 (.f64 (/.f64 (+.f64 y x) (fma.f64 y x (hypot.f64 y x))) #s(literal 1 binary64)) (fma.f64 (neg.f64 y) y (*.f64 x x))) (/.f64 (fma.f64 y x (hypot.f64 y x)) (pow.f64 (+.f64 y x) #s(literal -1 binary64))))
(.f64 (/.f64 (.f64 (/.f64 (+.f64 y x) (fma.f64 y x (hypot.f64 y x))) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (fma.f64 y x (hypot.f64 y x)) (pow.f64 (fma.f64 y x (hypot.f64 y x)) #s(literal -1 binary64))))
(.f64 (/.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (.f64 (/.f64 (+.f64 y x) (fma.f64 y x (hypot.f64 y x))) #s(literal 1 binary64))) (/.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (-.f64 (hypot.f64 y x) (.f64 y x))))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (.f64 (/.f64 (+.f64 y x) (fma.f64 y x (hypot.f64 y x))) #s(literal 1 binary64))) (/.f64 (pow.f64 (-.f64 (hypot.f64 y x) (.f64 y x)) #s(literal -1 binary64)) (-.f64 (hypot.f64 y x) (.f64 y x))))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (neg.f64 y) y (.f64 x x))) (/.f64 (pow.f64 (-.f64 (hypot.f64 y x) (*.f64 y x)) #s(literal -1 binary64)) (pow.f64 (+.f64 y x) #s(literal -1 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (pow.f64 (-.f64 (hypot.f64 y x) (.f64 y x)) #s(literal -1 binary64)) (pow.f64 (fma.f64 y x (hypot.f64 y x)) #s(literal -1 binary64))))
(.f64 (/.f64 (-.f64 (hypot.f64 y x) (.f64 y x)) (-.f64 x y)) (/.f64 (+.f64 y x) (-.f64 (hypot.f64 y x) (*.f64 y x))))
(*.f64 (/.f64 (+.f64 y x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (fma.f64 y x (hypot.f64 y x)) #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 y x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y x (hypot.f64 y x)))
(.f64 (pow.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (+.f64 y x)) #s(literal -1 binary64)))
(.f64 (pow.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) #s(literal -1 binary64)) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))
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(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y x (hypot.f64 y x))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y x (hypot.f64 y x))) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y x (hypot.f64 y x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y x (hypot.f64 y x)))))
(/.f64 (-.f64 (pow.f64 (.f64 x (/.f64 x (+.f64 y x))) #s(literal 3 binary64)) (pow.f64 (.f64 y (/.f64 y (+.f64 y x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 x (/.f64 x (+.f64 y x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 y (/.f64 y (+.f64 y x))) #s(literal 2 binary64)) (.f64 (.f64 x (/.f64 x (+.f64 y x))) (*.f64 y (/.f64 y (+.f64 y x)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y x (hypot.f64 y x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y x (hypot.f64 y x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y x (hypot.f64 y x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y x (hypot.f64 y x))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y x (hypot.f64 y x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y x (hypot.f64 y x)))))))
(/.f64 (/.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (.f64 (/.f64 (+.f64 y x) (fma.f64 y x (hypot.f64 y x))) #s(literal 1 binary64))) (fma.f64 y x (hypot.f64 y x)))
(/.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 y x (hypot.f64 y x)))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y x (hypot.f64 y x)))
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 y x))) (+.f64 y x))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)) (.f64 (hypot.f64 y x) (+.f64 y x)))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 (*.f64 y y) (hypot.f64 y x) (pow.f64 x #s(literal 4 binary64))) (+.f64 y x)))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y x (hypot.f64 y x))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 y #s(literal 9 binary64))) #s(literal 1 binary64)) (.f64 (hypot.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (*.f64 y x) #s(literal 3/2 binary64))) (fma.f64 y x (hypot.f64 y x))))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y x (hypot.f64 y x))))
(/.f64 (.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (-.f64 x y)) (fma.f64 (neg.f64 y) y (*.f64 x x)))
(/.f64 (.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (-.f64 (hypot.f64 y x) (*.f64 y x))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(/.f64 (.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 y x) y) #s(literal 2 binary64)))) (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 (.f64 x x) (.f64 (-.f64 y x) y))))
(/.f64 (.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (hypot.f64 (pow.f64 (.f64 (-.f64 y x) y) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (.f64 (-.f64 y x) y) (-.f64 (.f64 (-.f64 y x) y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (neg.f64 (fma.f64 y x (hypot.f64 y x)))))
(/.f64 (.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (.f64 (+.f64 y x) (-.f64 y x))) (.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (neg.f64 (+.f64 y x))))
(/.f64 (pow.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) #s(literal 2 binary64)) (.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (+.f64 y x)))
(/.f64 (.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (fma.f64 y x (hypot.f64 y x))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (+.f64 y x) (-.f64 y x))) (neg.f64 (+.f64 y x)))
(/.f64 (-.f64 (.f64 (.f64 x x) (+.f64 y x)) (.f64 (+.f64 y x) (.f64 y y))) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y x (hypot.f64 y x))) (.f64 (fma.f64 y x (hypot.f64 y x)) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (fma.f64 y x (hypot.f64 y x)) #s(literal 2 binary64)))
(/.f64 (.f64 (/.f64 (+.f64 y x) (fma.f64 y x (hypot.f64 y x))) #s(literal 1 binary64)) (pow.f64 (-.f64 (hypot.f64 y x) (.f64 y x)) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 (+.f64 y x) (hypot.f64 y x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (.f64 (+.f64 y x) (fma.f64 (.f64 y y) (hypot.f64 y x) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (*.f64 (fma.f64 y x (hypot.f64 y x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 y #s(literal 9 binary64))) (.f64 (fma.f64 y x (hypot.f64 y x)) (hypot.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (.f64 y x) #s(literal 3/2 binary64)))))
(/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (neg.f64 (+.f64 y x)))
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y x (hypot.f64 y x)))))
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (fma.f64 y x (hypot.f64 y x))))
(/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 y x) #s(literal -1 binary64)))
(/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (+.f64 y x))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x y) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 #s(literal 1 binary64) (fma.f64 y x (hypot.f64 y x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (-.f64 (.f64 x x) (.f64 (neg.f64 y) x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (neg.f64 (fma.f64 y x (hypot.f64 y x)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y x (hypot.f64 y x)))
(/.f64 (-.f64 y x) #s(literal -1 binary64))
(/.f64 (-.f64 x y) #s(literal 1 binary64))
(neg.f64 (-.f64 y x))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (+.f64 y x) y) #s(literal 2 binary64)))) (-.f64 (.f64 x (-.f64 x y)) (*.f64 y y)) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y x (hypot.f64 y x)))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (hypot.f64 (pow.f64 (.f64 (+.f64 y x) y) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (.f64 (+.f64 y x) y) (-.f64 (.f64 (+.f64 y x) y) (.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y x (hypot.f64 y x)))))
(fma.f64 (/.f64 (.f64 x x) (.f64 (+.f64 y x) (-.f64 y x))) (-.f64 y x) (neg.f64 (*.f64 y (/.f64 y (+.f64 y x)))))
(fma.f64 (/.f64 (.f64 x x) (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (-.f64 (hypot.f64 y x) (.f64 y x))) (neg.f64 (*.f64 y (/.f64 y (+.f64 y x)))))
(fma.f64 (/.f64 (.f64 x x) #s(literal 1 binary64)) (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (neg.f64 (.f64 y (/.f64 y (+.f64 y x)))))
(fma.f64 (/.f64 x (.f64 (/.f64 (+.f64 y x) (fma.f64 y x (hypot.f64 y x))) #s(literal 1 binary64))) (/.f64 x (fma.f64 y x (hypot.f64 y x))) (neg.f64 (.f64 y (/.f64 y (+.f64 y x)))))
(fma.f64 (/.f64 x (fma.f64 (neg.f64 y) y (.f64 x x))) (/.f64 x (pow.f64 (-.f64 x y) #s(literal -1 binary64))) (neg.f64 (.f64 y (/.f64 y (+.f64 y x)))))
(fma.f64 (/.f64 (.f64 x x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (-.f64 (hypot.f64 y x) (.f64 y x)) (neg.f64 (*.f64 y (/.f64 y (+.f64 y x)))))
(fma.f64 (/.f64 (.f64 x x) (fma.f64 (neg.f64 y) y (.f64 x x))) (-.f64 x y) (neg.f64 (*.f64 y (/.f64 y (+.f64 y x)))))
(fma.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 x (+.f64 y x)) (neg.f64 (*.f64 y (/.f64 y (+.f64 y x)))))
(fma.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 x (pow.f64 (-.f64 (hypot.f64 y x) (.f64 y x)) #s(literal -1 binary64))) (neg.f64 (.f64 y (/.f64 y (+.f64 y x)))))
(fma.f64 (.f64 (/.f64 (+.f64 y x) (fma.f64 y x (hypot.f64 y x))) #s(literal 1 binary64)) (.f64 (-.f64 y x) y) (.f64 (.f64 (/.f64 (+.f64 y x) (fma.f64 y x (hypot.f64 y x))) #s(literal 1 binary64)) (*.f64 x x)))
(fma.f64 (.f64 (/.f64 (+.f64 y x) (fma.f64 y x (hypot.f64 y x))) #s(literal 1 binary64)) (.f64 x x) (.f64 (.f64 (/.f64 (+.f64 y x) (fma.f64 y x (hypot.f64 y x))) #s(literal 1 binary64)) (*.f64 (-.f64 y x) y)))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 y x (hypot.f64 y x))) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y x (hypot.f64 y x)))))
(fma.f64 #s(literal -1 binary64) y x)
(fma.f64 (neg.f64 y) #s(literal 1 binary64) (*.f64 x #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (neg.f64 y) (*.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal 1 binary64) x (*.f64 #s(literal 1 binary64) (neg.f64 y)))
(fma.f64 (.f64 (-.f64 y x) y) (.f64 (/.f64 (+.f64 y x) (fma.f64 y x (hypot.f64 y x))) #s(literal 1 binary64)) (.f64 (.f64 x x) (*.f64 (/.f64 (+.f64 y x) (fma.f64 y x (hypot.f64 y x))) #s(literal 1 binary64))))
(fma.f64 (*.f64 x x) (/.f64 x (fma.f64 y x (hypot.f64 y x))) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y x (hypot.f64 y x)))))
(fma.f64 (.f64 x x) (.f64 (/.f64 (+.f64 y x) (fma.f64 y x (hypot.f64 y x))) #s(literal 1 binary64)) (.f64 (.f64 (-.f64 y x) y) (*.f64 (/.f64 (+.f64 y x) (fma.f64 y x (hypot.f64 y x))) #s(literal 1 binary64))))
(fma.f64 (.f64 x x) (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (neg.f64 (.f64 y (/.f64 y (+.f64 y x)))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 y x (hypot.f64 y x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y x (hypot.f64 y x)))))
(fma.f64 y #s(literal -1 binary64) x)
(fma.f64 x (/.f64 (*.f64 x x) (fma.f64 y x (hypot.f64 y x))) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y x (hypot.f64 y x)))))
(fma.f64 x (/.f64 x (+.f64 y x)) (neg.f64 (*.f64 y (/.f64 y (+.f64 y x)))))
(fma.f64 x #s(literal 1 binary64) (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(-.f64 (+.f64 x #s(literal 0 binary64)) y)
(-.f64 (/.f64 (.f64 x (/.f64 x (+.f64 y x))) #s(literal 1 binary64)) (/.f64 (.f64 y (/.f64 y (+.f64 y x))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y x (hypot.f64 y x))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y x (hypot.f64 y x))) #s(literal 1 binary64)))
(-.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 y #s(literal 1 binary64)))
(-.f64 (.f64 x (/.f64 x (+.f64 y x))) (.f64 y (/.f64 y (+.f64 y x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y x (hypot.f64 y x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y x (hypot.f64 y x))))
(-.f64 #s(literal 0 binary64) (-.f64 y x))
(-.f64 x y)
(exp.f64 (neg.f64 (*.f64 (log.f64 (-.f64 x y)) #s(literal -1 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 (-.f64 x y)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (.f64 (.f64 (-.f64 y x) y) (.f64 (/.f64 (+.f64 y x) (fma.f64 y x (hypot.f64 y x))) #s(literal 1 binary64))) (.f64 (.f64 x x) (.f64 (/.f64 (+.f64 y x) (fma.f64 y x (hypot.f64 y x))) #s(literal 1 binary64))))
(+.f64 (.f64 (neg.f64 y) #s(literal 1 binary64)) (.f64 x #s(literal 1 binary64)))
(+.f64 (.f64 x #s(literal 1 binary64)) (.f64 (neg.f64 y) #s(literal 1 binary64)))
(+.f64 (.f64 (.f64 x x) (.f64 (/.f64 (+.f64 y x) (fma.f64 y x (hypot.f64 y x))) #s(literal 1 binary64))) (.f64 (.f64 (-.f64 y x) y) (.f64 (/.f64 (+.f64 y x) (fma.f64 y x (hypot.f64 y x))) #s(literal 1 binary64))))
(+.f64 (.f64 (.f64 (/.f64 (+.f64 y x) (fma.f64 y x (hypot.f64 y x))) #s(literal 1 binary64)) (.f64 (-.f64 y x) y)) (.f64 (.f64 (/.f64 (+.f64 y x) (fma.f64 y x (hypot.f64 y x))) #s(literal 1 binary64)) (.f64 x x)))
(+.f64 (.f64 #s(literal 1 binary64) (neg.f64 y)) (.f64 #s(literal 1 binary64) x))
(+.f64 (.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1 binary64) (neg.f64 y)))
(+.f64 (.f64 (.f64 (/.f64 (+.f64 y x) (fma.f64 y x (hypot.f64 y x))) #s(literal 1 binary64)) (.f64 x x)) (.f64 (.f64 (/.f64 (+.f64 y x) (fma.f64 y x (hypot.f64 y x))) #s(literal 1 binary64)) (.f64 (-.f64 y x) y)))
(+.f64 (neg.f64 (neg.f64 x)) (neg.f64 y))
(+.f64 (.f64 x (/.f64 x (+.f64 y x))) (neg.f64 (.f64 y (/.f64 y (+.f64 y x)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y x (hypot.f64 y x))) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y x (hypot.f64 y x)))))
(+.f64 (neg.f64 y) x)
(+.f64 x (neg.f64 y))

eval121.0ms (2.4%)

Memory: -19.5MiB live, 116.4MiB allocated
Compiler: Compiled 11 311 to 1 302 computations (88.5% saved)

prune29.0ms (0.6%)

Memory

-5.5MiB live, 31.9MiB allocated

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	519	7	526
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	519	8	527

Accuracy

100.0%

Counts

527 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 x y) (-.f64 x y))
▶	51.7%	(/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y)))
▶	99.8%	(*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (+.f64 y x))
	56.0%	(.f64 (/.f64 (+.f64 y x) (.f64 (+.f64 y x) (-.f64 y x))) (neg.f64 (+.f64 y x)))
	50.0%	#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)))
▶	52.2%	#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64)))
▶	48.7%	#s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64))
▶	50.9%	#s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64))

Compiler

Compiled 107 to 91 computations (15% saved)

simplify58.0ms (1.1%)

Memory

1.0MiB live, 39.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 #s(literal -2 binary64) y)
cost-diff	0	(fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64))
cost-diff	0	#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64)))
cost-diff	0	(neg.f64 y)
cost-diff	0	#s(approx (- x y) (neg.f64 y))
cost-diff	0	(+.f64 x y)
cost-diff	0	(/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 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 x)
cost-diff	0	(-.f64 x y)
cost-diff	0	(pow.f64 (-.f64 x y) #s(literal -1 binary64))
cost-diff	6080	(*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (+.f64 y x))

Rules

752×	`lower-fma.f32`
750×	`lower-fma.f64`
496×	`lower-*.f32`
494×	`lower-*.f64`
280×	`div-sub`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	21	93
0	31	93
1	50	93
2	73	91
3	86	91
4	179	91
5	271	91
6	401	91
7	663	91
8	1068	91
9	1346	91
10	1529	91
11	1554	91
12	1570	91
13	1577	91
0	1577	91

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize47.0ms (0.9%)

Memory

-1.9MiB live, 80.0MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 #s(literal -2 binary64) y)
accuracy	0.10546875	(fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64))
accuracy	30.579581348826466	#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64)))
accuracy	0	(+.f64 x y)
accuracy	0	(neg.f64 y)
accuracy	0.02734375	(/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y)))
accuracy	30.77233163984806	#s(approx (- x y) (neg.f64 y))
accuracy	32.81651348118134	#s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64))
accuracy	31.424933591349593	#s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64))
accuracy	0	(-.f64 x y)
accuracy	0	(+.f64 y x)
accuracy	0.0078125	(pow.f64 (-.f64 x y) #s(literal -1 binary64))
accuracy	0.1484375	(*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (+.f64 y x))

Samples

28.0ms

256×

valid

Compiler

Compiled 79 to 17 computations (78.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-add: 4.0ms (23.4% of total)

ival-pow: 4.0ms (23.4% of total)

ival-div: 3.0ms (17.6% of total)

ival-mult: 3.0ms (17.6% of total)

ival-sub: 1.0ms (5.9% of total)

ival-neg: 1.0ms (5.9% of total)

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

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

exact: 0.0ms (0% of total)

series81.0ms (1.6%)

Memory

-15.4MiB live, 22.3MiB allocated

Counts

13 → 288

Calls

Call 1

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

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

Calls

6 calls:

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

simplify199.0ms (3.9%)

Memory

27.5MiB live, 218.8MiB allocated

Algorithm

1×	egg-herbie

Rules

9 976×	`lower-fma.f64`
9 976×	`lower-fma.f32`
3 042×	`lower-*.f64`
3 042×	`lower-*.f32`
2 464×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	242	2408
1	741	2262
2	2132	1987
3	6626	1961
0	8450	1780

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 270

Calls

Call 1

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

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

rewrite214.0ms (4.2%)

Memory

-25.3MiB live, 414.3MiB allocated

Rules

5 384×	`lower-fma.f32`
5 382×	`lower-fma.f64`
5 106×	`lower-*.f32`
5 104×	`lower-*.f64`
4 122×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	82
0	31	80
1	112	80
2	779	80
0	8599	80

Stop Event

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

Counts

13 → 1 010

Calls

Call 1

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

Outputs
(.f64 (/.f64 (-.f64 (neg.f64 y) x) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (hypot.f64 y x) (.f64 y x)))
(.f64 (/.f64 (/.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (-.f64 x y)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 y (-.f64 y x)) #s(literal 2 binary64)))) (-.f64 (.f64 x x) (.f64 y (-.f64 y x))))
(.f64 (/.f64 (/.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (-.f64 x y)) (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 y (-.f64 y x)) #s(literal 3 binary64)))) (-.f64 (hypot.f64 (.f64 x x) (.f64 y (-.f64 y x))) (.f64 (.f64 (*.f64 x x) y) (-.f64 y x))))
(.f64 (/.f64 (/.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (-.f64 x y)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 x (-.f64 x y)) #s(literal 2 binary64)))) (-.f64 (.f64 y y) (.f64 x (-.f64 x y))))
(.f64 (/.f64 (/.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (-.f64 x y)) (hypot.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (.f64 x (-.f64 x y)) #s(literal 3/2 binary64)))) (-.f64 (hypot.f64 (.f64 y y) (.f64 x (-.f64 x y))) (.f64 (.f64 (*.f64 y y) x) (-.f64 x y))))
(*.f64 (/.f64 (+.f64 y x) (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (fma.f64 y x (hypot.f64 y x))))
(.f64 (/.f64 (.f64 (+.f64 y x) (-.f64 y x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (pow.f64 (fma.f64 y x (hypot.f64 y x)) #s(literal -1 binary64))))
(.f64 (/.f64 (.f64 (+.f64 y x) (-.f64 y x)) #s(literal 1 binary64)) (/.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (-.f64 x y)))
(*.f64 (/.f64 (-.f64 (neg.f64 y) x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y x (hypot.f64 y x))))
(.f64 (.f64 (*.f64 (+.f64 y x) (pow.f64 (-.f64 x y) #s(literal -1/2 binary64))) (pow.f64 (-.f64 x y) #s(literal -1/4 binary64))) (pow.f64 (-.f64 x y) #s(literal -1/4 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (fma.f64 y x (hypot.f64 y x)))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x y) #s(literal -1/2 binary64))) (*.f64 (pow.f64 (-.f64 x y) #s(literal -1/2 binary64)) (+.f64 y x)))
(.f64 (.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (*.f64 (/.f64 (+.f64 y x) (fma.f64 y x (hypot.f64 y x))) #s(literal 1 binary64))) (fma.f64 y x (hypot.f64 y x)))
(*.f64 (pow.f64 (/.f64 (-.f64 x y) (+.f64 y x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (-.f64 x y) (+.f64 y x)) #s(literal -1/2 binary64)))
(.f64 (/.f64 (.f64 (+.f64 y x) (-.f64 x y)) #s(literal 1 binary64)) (/.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (-.f64 x y)))
(.f64 (/.f64 (-.f64 (neg.f64 y) x) (.f64 (+.f64 y x) (-.f64 x y))) (-.f64 (neg.f64 y) x))
(*.f64 (/.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (/.f64 (-.f64 x y) (-.f64 y x))) (-.f64 (neg.f64 y) x))
(.f64 (/.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (/.f64 (.f64 (+.f64 y x) (-.f64 x y)) (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))))) (/.f64 (.f64 (+.f64 y x) (-.f64 x y)) (-.f64 (hypot.f64 y x) (.f64 y x))))
(*.f64 (/.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 y x))
(.f64 (/.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (.f64 (+.f64 y x) (-.f64 x y))) (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (pow.f64 (+.f64 y x) #s(literal -1 binary64))))
(.f64 (/.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (.f64 (+.f64 y x) (-.f64 x y)) (pow.f64 (fma.f64 y x (hypot.f64 y x)) #s(literal -1 binary64))))
(.f64 (/.f64 (.f64 (/.f64 (+.f64 y x) (fma.f64 y x (hypot.f64 y x))) #s(literal 1 binary64)) (/.f64 (-.f64 x y) (-.f64 y x))) (/.f64 (fma.f64 y x (hypot.f64 y x)) (-.f64 y x)))
(.f64 (/.f64 (.f64 (/.f64 (+.f64 y x) (fma.f64 y x (hypot.f64 y x))) #s(literal 1 binary64)) (/.f64 (.f64 (+.f64 y x) (-.f64 x y)) (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))))) (/.f64 (fma.f64 y x (hypot.f64 y x)) (-.f64 (hypot.f64 y x) (.f64 y x))))
(.f64 (/.f64 (.f64 (/.f64 (+.f64 y x) (fma.f64 y x (hypot.f64 y x))) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 y x (hypot.f64 y x)) (-.f64 x y)))
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(neg.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x y) #s(literal -1 binary64))))
(neg.f64 (/.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal -1 binary64)) (neg.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) y) x))))))
(fma.f64 (/.f64 (pow.f64 (.f64 (/.f64 #s(literal -2 binary64) y) x) #s(literal 2 binary64)) (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x y)))) (neg.f64 (pow.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal -2 binary64) y) x) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64)) (neg.f64 (pow.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (.f64 (neg.f64 y) y)) y #s(literal -1 binary64))
(fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (fma.f64 y y #s(literal 0 binary64)) #s(literal -1 binary64))
(fma.f64 (/.f64 x (neg.f64 y)) #s(literal 2 binary64) #s(literal -1 binary64))
(fma.f64 (.f64 (.f64 #s(literal -2 binary64) x) #s(literal 1 binary64)) (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) y) #s(literal -1 binary64))
(fma.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) y) #s(literal -1 binary64))
(fma.f64 (neg.f64 (/.f64 #s(literal -2 binary64) y)) (*.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 (neg.f64 x) (/.f64 #s(literal 2 binary64) y) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal -2 binary64) x) (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 #s(literal -2 binary64) x) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)) #s(literal -1 binary64) #s(literal -1 binary64))
(fma.f64 (pow.f64 (*.f64 (/.f64 #s(literal -2 binary64) y) x) #s(literal 2 binary64)) (pow.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) y) x) #s(literal -1 binary64))
(fma.f64 (*.f64 (/.f64 #s(literal -2 binary64) y) x) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal -2 binary64) y) (neg.f64 (*.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64))
(fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) y) x) #s(literal -1 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x y)) #s(literal -1 binary64))
(fma.f64 x (/.f64 #s(literal -2 binary64) y) #s(literal -1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -2 binary64) y) x))) (/.f64 (pow.f64 (.f64 (/.f64 #s(literal -2 binary64) y) x) #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) y) x))))
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal -2 binary64) y) x) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 1 binary64))) (pow.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 (*.f64 (/.f64 #s(literal -2 binary64) y) x) #s(literal 1 binary64))
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal -2 binary64) y) x) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 1 binary64))) (neg.f64 (pow.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 1 binary64)) #s(literal -1 binary64))))
(+.f64 (*.f64 (/.f64 #s(literal -2 binary64) y) x) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) y) x))
(.f64 (/.f64 #s(literal 2 binary64) (.f64 (neg.f64 y) y)) y)
(*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (fma.f64 y y #s(literal 0 binary64)))
(.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) y) #s(literal -1/2 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) y) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 2 binary64))
(*.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -2 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 #s(literal -2 binary64) y) #s(literal 1 binary64))
(*.f64 #s(literal -2 binary64) (pow.f64 y #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) y))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) y))
(pow.f64 (*.f64 #s(literal -1/2 binary64) y) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal 2 binary64) y) #s(literal -1 binary64))
(/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1/2 binary64))
(/.f64 #s(literal 2 binary64) (neg.f64 y))
(/.f64 #s(literal -2 binary64) y)
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) y))
(/.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1/2 binary64)))
(neg.f64 (/.f64 #s(literal 2 binary64) y))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) y))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal -1/2 binary64) y)) #s(literal -1 binary64)))

eval332.0ms (6.5%)

Memory: 51.0MiB live, 395.8MiB allocated
Compiler: Compiled 25 803 to 2 687 computations (89.6% saved)

prune37.0ms (0.7%)

Memory

-43.3MiB live, 91.1MiB allocated

Pruning

9 alts after pruning (4 fresh and 5 done)

	Pruned	Kept	Total
New	1 277	3	1 280
Fresh	1	1	2
Picked	1	4	5
Done	0	1	1
Total	1 279	9	1 288

Accuracy

100.0%

Counts

1 288 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 x y) (-.f64 x y))
✓	51.7%	(/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y)))
▶	100.0%	(+.f64 (/.f64 y (-.f64 x y)) (/.f64 x (-.f64 x y)))
▶	99.8%	(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) (+.f64 y x))
▶	51.2%	#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 x y) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -2 binary64)) #s(literal -1 binary64)))
▶	50.0%	#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)))
✓	52.2%	#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64)))
✓	48.7%	#s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64))
✓	50.9%	#s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64))

Compiler

Compiled 64 to 55 computations (14.1% saved)

simplify223.0ms (4.4%)

Memory

12.1MiB live, 90.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 x (-.f64 x y))
cost-diff	0	(-.f64 x y)
cost-diff	0	(/.f64 y (-.f64 x y))
cost-diff	896	(+.f64 (/.f64 y (-.f64 x y)) (/.f64 x (-.f64 x y)))
cost-diff	0	(+.f64 y x)
cost-diff	0	(-.f64 x y)
cost-diff	0	(/.f64 #s(literal 1 binary64) (-.f64 x y))
cost-diff	320	(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) (+.f64 y x))
cost-diff	0	(fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -2 binary64))
cost-diff	0	(/.f64 x y)
cost-diff	0	(fma.f64 (/.f64 x y) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -2 binary64)) #s(literal -1 binary64))
cost-diff	0	#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 x y) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -2 binary64)) #s(literal -1 binary64)))
cost-diff	0	(/.f64 #s(literal 2 binary64) x)
cost-diff	0	(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)))

Rules

3 256×	`lower-fma.f32`
3 250×	`lower-fma.f64`
1 696×	`lower-*.f32`
1 694×	`lower-*.f64`
1 350×	`unsub-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	122
0	40	120
1	73	116
2	142	116
3	218	116
4	412	116
5	740	116
6	1204	116
7	1565	116
8	3010	116
9	4194	116
10	4571	116
11	4626	116
12	4638	116
13	4638	116
14	4908	116
15	5028	116
16	5028	116
17	5028	116
18	5028	116
19	5028	116
0	5028	116

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize75.0ms (1.5%)

Memory

15.2MiB live, 130.3MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 x y)
accuracy	0.01171875	(/.f64 y (-.f64 x y))
accuracy	0.01171875	(/.f64 x (-.f64 x y))
accuracy	0.04296875	(+.f64 (/.f64 y (-.f64 x y)) (/.f64 x (-.f64 x y)))
accuracy	0	(-.f64 x y)
accuracy	0	(+.f64 y x)
accuracy	0.00390625	(/.f64 #s(literal 1 binary64) (-.f64 x y))
accuracy	0.1484375	(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) (+.f64 y x))
accuracy	0	(/.f64 #s(literal -2 binary64) y)
accuracy	0.10546875	(fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -2 binary64))
accuracy	0.11166000976844202	(fma.f64 (/.f64 x y) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -2 binary64)) #s(literal -1 binary64))
accuracy	31.23719379730735	#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 x y) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -2 binary64)) #s(literal -1 binary64)))
accuracy	0	(/.f64 #s(literal 2 binary64) x)
accuracy	0.10546875	(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64))
accuracy	32.001231676527254	#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)))

Samples

57.0ms

256×

valid

Compiler

Compiled 109 to 26 computations (76.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-div: 11.0ms (43% of total)

ival-add: 7.0ms (27.3% of total)

ival-mult: 6.0ms (23.4% of total)

ival-sub: 1.0ms (3.9% of total)

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

exact: 0.0ms (0% of total)

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

series98.0ms (1.9%)

Memory

-12.9MiB live, 25.4MiB allocated

Counts

15 → 336

Calls

Call 1

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

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

6 calls:

Time	Variable		Point	Expression
80.0ms	x	@	inf	((/ (+ x y) (- x y)) (+ (* (/ 2 x) y) 1) (/ 2 x) (/ (+ x y) (- x y)) (+ (* (/ x y) (+ (* (/ -2 y) x) -2)) -1) (/ x y) (+ (* (/ -2 y) x) -2) (* (/ 1 (- x y)) (+ y x)) (/ 1 (- x y)) (- x y) (+ y x) (+ (/ y (- x y)) (/ x (- x y))) (/ y (- x y)) (/ x (- x y)) (/ -2 y))
2.0ms	y	@	0	((/ (+ x y) (- x y)) (+ (* (/ 2 x) y) 1) (/ 2 x) (/ (+ x y) (- x y)) (+ (* (/ x y) (+ (* (/ -2 y) x) -2)) -1) (/ x y) (+ (* (/ -2 y) x) -2) (* (/ 1 (- x y)) (+ y x)) (/ 1 (- x y)) (- x y) (+ y x) (+ (/ y (- x y)) (/ x (- x y))) (/ y (- x y)) (/ x (- x y)) (/ -2 y))
2.0ms	x	@	-inf	((/ (+ x y) (- x y)) (+ (* (/ 2 x) y) 1) (/ 2 x) (/ (+ x y) (- x y)) (+ (* (/ x y) (+ (* (/ -2 y) x) -2)) -1) (/ x y) (+ (* (/ -2 y) x) -2) (* (/ 1 (- x y)) (+ y x)) (/ 1 (- x y)) (- x y) (+ y x) (+ (/ y (- x y)) (/ x (- x y))) (/ y (- x y)) (/ x (- x y)) (/ -2 y))
2.0ms	y	@	-inf	((/ (+ x y) (- x y)) (+ (* (/ 2 x) y) 1) (/ 2 x) (/ (+ x y) (- x y)) (+ (* (/ x y) (+ (* (/ -2 y) x) -2)) -1) (/ x y) (+ (* (/ -2 y) x) -2) (* (/ 1 (- x y)) (+ y x)) (/ 1 (- x y)) (- x y) (+ y x) (+ (/ y (- x y)) (/ x (- x y))) (/ y (- x y)) (/ x (- x y)) (/ -2 y))
2.0ms	y	@	inf	((/ (+ x y) (- x y)) (+ (* (/ 2 x) y) 1) (/ 2 x) (/ (+ x y) (- x y)) (+ (* (/ x y) (+ (* (/ -2 y) x) -2)) -1) (/ x y) (+ (* (/ -2 y) x) -2) (* (/ 1 (- x y)) (+ y x)) (/ 1 (- x y)) (- x y) (+ y x) (+ (/ y (- x y)) (/ x (- x y))) (/ y (- x y)) (/ x (- x y)) (/ -2 y))

simplify234.0ms (4.6%)

Memory

0.8MiB live, 239.1MiB allocated

Algorithm

1×	egg-herbie

Rules

11 744×	`lower-fma.f64`
11 744×	`lower-fma.f32`
3 886×	`lower-*.f64`
3 886×	`lower-*.f32`
2 916×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	441	3254
1	1391	3042
2	3884	2719
0	8484	2466

Stop Event

1×	iter limit
1×	node limit

Counts

336 → 327

Calls

Call 1

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

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

rewrite375.0ms (7.4%)

Memory

16.8MiB live, 465.8MiB allocated

Rules

5 798×	`lower-/.f32`
5 786×	`lower-/.f64`
5 194×	`lower-fma.f32`
5 188×	`lower-fma.f64`
4 222×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	106
0	40	100
1	188	100
2	1731	100
0	8672	100

Stop Event

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

Counts

15 → 1 245

Calls

Call 1

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

Outputs
#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)))
(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) y))))
(*.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal -1 binary64)))))
(.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 2 binary64) x) y))))))
(*.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 2 binary64) x) y)))))
(.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 2 binary64) x) y))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64))) #s(literal -1 binary64))
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(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (-.f64 x y))) (/.f64 x (neg.f64 (-.f64 x y))))
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(exp.f64 (.f64 (log.f64 (.f64 y #s(literal -1/2 binary64))) #s(literal -1 binary64)))

eval400.0ms (7.8%)

Memory: -13.5MiB live, 409.5MiB allocated
Compiler: Compiled 35 353 to 3 033 computations (91.4% saved)

prune52.0ms (1%)

Memory

12.0MiB live, 98.6MiB allocated

Pruning

9 alts after pruning (0 fresh and 9 done)

	Pruned	Kept	Total
New	1 742	0	1 742
Fresh	0	0	0
Picked	0	4	4
Done	0	5	5
Total	1 742	9	1 751

Accuracy

100.0%

Counts

1 751 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 x y) (-.f64 x y))
✓	51.7%	(/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y)))
✓	100.0%	(+.f64 (/.f64 y (-.f64 x y)) (/.f64 x (-.f64 x y)))
✓	99.8%	(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) (+.f64 y x))
✓	51.2%	#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 x y) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -2 binary64)) #s(literal -1 binary64)))
✓	50.0%	#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)))
✓	52.2%	#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64)))
✓	48.7%	#s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64))
✓	50.9%	#s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64))

Compiler

Compiled 153 to 92 computations (39.9% saved)

regimes13.0ms (0.3%)

Memory

-14.5MiB live, 22.9MiB allocated

Counts

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

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

Calls

3 calls:

6.0ms	x
4.0ms	y
3.0ms	(/.f64 (+.f64 x y) (-.f64 x y))

Results

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

Compiler

Compiled 9 to 9 computations (0% saved)

regimes7.0ms (0.1%)

Memory

17.8MiB live, 17.8MiB allocated

Counts

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

Outputs
#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64)))
#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #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
79.5%	3	`x`
80.1%	3	`y`
99.2%	2	`(/.f64 (+.f64 x y) (-.f64 x y))`

Compiler

Compiled 9 to 9 computations (0% saved)

regimes2.0ms (0%)

Memory

4.9MiB live, 4.9MiB 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 (+.f64 x y) #s(approx (- x y) (neg.f64 y)))
#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64)))

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

Calls

1 calls:

2.0ms

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

Results

Accuracy	Segments	Branch
98.6%	2	`(/.f64 (+.f64 x y) (-.f64 x y))`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes2.0ms (0%)

Memory

3.0MiB live, 3.0MiB 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 (+.f64 x y) #s(approx (- x y) (neg.f64 y)))

Outputs
(/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 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
98.1%	2	`(/.f64 (+.f64 x y) (-.f64 x y))`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes1.0ms (0%)

Memory

2.3MiB live, 2.3MiB 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
98.1%	2	`(/.f64 (+.f64 x y) (-.f64 x y))`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes17.0ms (0.3%)

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:

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

Results

Accuracy	Segments	Branch
50.9%	1	`x`
50.9%	1	`y`
50.9%	1	`(/.f64 (+.f64 x y) (-.f64 x y))`

Compiler

Compiled 9 to 9 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999119326296655	0.9944408926035091

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999119326296655	0.9944408926035091

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999119326296655	0.9944408926035091

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch13.0ms (0.3%)

Memory

18.4MiB live, 18.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	-0.9999119326296655	0.9944408926035091

Samples

4.0ms

240×

valid

Compiler

Compiled 70 to 160 computations (-128.6% 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)

simplify40.0ms (0.8%)

Memory

4.6MiB live, 47.5MiB allocated

Algorithm

1×	egg-herbie

Rules

6×	`+-commutative-binary64-+.f64`
4×	`sub-neg-binary64-neg.f64-+.f64--.f64`
2×	`1-exp-binary32-exp.f32`
2×	`-commutative-binary64-.f64`
2×	`1-exp-binary64-exp.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	144
1	38	144
2	41	144
3	42	144

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)) #s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64))) #s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 x y)) #s(literal -1/2 binary64)) #s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64))) #s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 x y)) #s(literal -1/2 binary64)) (/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y))) #s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 x y)) #s(literal -20240225330731/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 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))
(/.f64 (+.f64 y x) (-.f64 x y))
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 x y)) #s(literal -1/2 binary64)) #s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64))) #s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (+.f64 y x) (-.f64 x y)) #s(literal -1/2 binary64)) #s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64))) #s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 x y)) #s(literal -1/2 binary64)) #s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64))) #s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (+.f64 y x) (-.f64 x y)) #s(literal -1/2 binary64)) #s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64))) #s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 x y)) #s(literal -1/2 binary64)) (/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y))) #s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (+.f64 y x) (-.f64 x y)) #s(literal -1/2 binary64)) (/.f64 (+.f64 y x) #s(approx (- x y) (neg.f64 y))) #s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 x y)) #s(literal -20240225330731/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64)) #s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (+.f64 y x) (-.f64 x y)) #s(literal -20240225330731/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 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))

soundness436.0ms (8.5%)

Memory

-10.1MiB live, 261.7MiB allocated

Rules

11 976×	`lower-fma.f64`
11 976×	`lower-fma.f32`
3 278×	`lower-*.f64`
3 278×	`lower-*.f32`
1 780×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	140	458
1	432	439
2	1258	395
3	5371	377
0	8476	347

Stop Event

1×	done
1×	iter limit
1×	node limit

Compiler

Compiled 114 to 66 computations (42.1% saved)

preprocess261.0ms (5.1%)

Memory: -13.7MiB live, 116.4MiB allocated
Compiler: Compiled 210 to 82 computations (61% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze12.0ms (0.2%)

sample809.0ms (15.8%)

explain50.0ms (1%)

preprocess121.0ms (2.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify98.0ms (1.9%)

localize14.0ms (0.3%)

series5.0ms (0.1%)

simplify382.0ms (7.5%)

rewrite244.0ms (4.8%)

eval121.0ms (2.4%)

prune29.0ms (0.6%)

simplify58.0ms (1.1%)

localize47.0ms (0.9%)

series81.0ms (1.6%)

simplify199.0ms (3.9%)

rewrite214.0ms (4.2%)

eval332.0ms (6.5%)

prune37.0ms (0.7%)

simplify223.0ms (4.4%)

localize75.0ms (1.5%)

series98.0ms (1.9%)

simplify234.0ms (4.6%)

rewrite375.0ms (7.4%)

eval400.0ms (7.8%)

prune52.0ms (1%)

regimes13.0ms (0.3%)

regimes7.0ms (0.1%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes1.0ms (0%)

regimes17.0ms (0.3%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch13.0ms (0.3%)

simplify40.0ms (0.8%)

soundness436.0ms (8.5%)

preprocess261.0ms (5.1%)

end0.0ms (0%)

Profiling