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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze10.0ms (0.1%)

Memory

17.4MiB live, 17.4MiB 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)

sample897.0ms (11.1%)

Memory

38.6MiB live, 819.9MiB allocated

Samples

694.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 444.0ms

ival-add: 234.0ms (52.7% of total)

ival-sub: 112.0ms (25.2% of total)

ival-div: 90.0ms (20.3% of total)

ival-true: 6.0ms (1.4% of total)

ival-assert: 3.0ms (0.7% of total)

Bogosity

explain288.0ms (3.6%)

Memory

-16.8MiB live, 92.0MiB 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

201.0ms

512×

valid

Compiler

Compiled 43 to 19 computations (55.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 152.0ms

ival-div: 146.0ms (95.9% of total)

ival-sub: 3.0ms (2% of total)

ival-add: 3.0ms (2% of total)

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

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

preprocess65.0ms (0.8%)

Memory

5.6MiB live, 90.0MiB 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))

Compiler

Compiled 9 to 5 computations (44.4% saved)

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 9 to 5 computations (44.4% saved)

simplify27.0ms (0.3%)

Memory

0.2MiB live, 37.1MiB 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 x y)
x
y
(-.f64 x y)

localize19.0ms (0.2%)

Memory

9.7MiB live, 45.5MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 x y)
accuracy	0	(+.f64 x y)
accuracy	0.0234375	(/.f64 (+.f64 x y) (-.f64 x y))

Samples

13.0ms

256×

valid

Compiler

Compiled 17 to 7 computations (58.8% saved)

Precisions

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

ival-div: 2.0ms (43.4% of total)

ival-sub: 1.0ms (21.7% of total)

ival-add: 1.0ms (21.7% of total)

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

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

series5.0ms (0.1%)

Memory

11.6MiB live, 11.6MiB allocated

Counts

3 → 72

Calls

Call 1

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

Inputs

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

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

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

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

Calls

18 calls:

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

simplify391.0ms (4.9%)

Memory

-46.3MiB live, 330.8MiB 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	482
1	432	436
2	1252	395
3	5334	377
0	8411	347

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 63

Calls

Call 1

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

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

rewrite282.0ms (3.5%)

Memory

31.0MiB live, 292.0MiB 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 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) x) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) y))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) y) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) x))
(+.f64 (.f64 (/.f64 (+.f64 x y) (fma.f64 y (.f64 y y) (.f64 x (.f64 x x)))) (.f64 x x)) (.f64 (/.f64 (+.f64 x y) (fma.f64 y (.f64 y y) (.f64 x (.f64 x x)))) (.f64 y (+.f64 x y))))
(+.f64 (.f64 (/.f64 (+.f64 x y) (fma.f64 y (.f64 y y) (.f64 x (.f64 x x)))) (.f64 y (+.f64 x y))) (.f64 (/.f64 (+.f64 x y) (fma.f64 y (.f64 y y) (.f64 x (.f64 x x)))) (.f64 x x)))
(+.f64 (.f64 (/.f64 (+.f64 x y) (fma.f64 y (.f64 y y) (.f64 x (.f64 x x)))) (fma.f64 x x (.f64 y y))) (.f64 (/.f64 (+.f64 x y) (fma.f64 y (.f64 y y) (.f64 x (.f64 x x)))) (.f64 x y)))
(+.f64 (.f64 x (/.f64 #s(literal 1 binary64) (-.f64 x y))) (.f64 y (/.f64 #s(literal 1 binary64) (-.f64 x y))))
(+.f64 (.f64 y (/.f64 #s(literal 1 binary64) (-.f64 x y))) (.f64 x (/.f64 #s(literal 1 binary64) (-.f64 x y))))
(+.f64 (.f64 (.f64 x x) (/.f64 (+.f64 x y) (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))))) (.f64 (.f64 y (+.f64 x y)) (/.f64 (+.f64 x y) (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))))))
(+.f64 (.f64 (.f64 y (+.f64 x y)) (/.f64 (+.f64 x y) (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))))) (.f64 (.f64 x x) (/.f64 (+.f64 x y) (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))))))
(+.f64 (.f64 (fma.f64 x x (.f64 y y)) (/.f64 (+.f64 x y) (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))))) (.f64 (.f64 x y) (/.f64 (+.f64 x y) (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 x y) (+.f64 x y))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 x y) (-.f64 y x)))
(-.f64 (/.f64 (/.f64 (.f64 x x) (-.f64 x y)) (-.f64 x y)) (/.f64 (/.f64 (.f64 y y) (-.f64 x y)) (-.f64 x y)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 y x)) (/.f64 (+.f64 x y) (-.f64 y x)))
(-.f64 (/.f64 (.f64 x x) (.f64 (-.f64 x y) (-.f64 x y))) (/.f64 (.f64 y y) (.f64 (-.f64 x y) (-.f64 x y))))
(fma.f64 x (/.f64 #s(literal 1 binary64) (-.f64 x y)) (*.f64 y (/.f64 #s(literal 1 binary64) (-.f64 x y))))
(fma.f64 y (/.f64 #s(literal 1 binary64) (-.f64 x y)) (*.f64 x (/.f64 #s(literal 1 binary64) (-.f64 x y))))
(fma.f64 (.f64 x x) (/.f64 (+.f64 x y) (fma.f64 y (.f64 y y) (.f64 x (.f64 x x)))) (.f64 (.f64 y (+.f64 x y)) (/.f64 (+.f64 x y) (fma.f64 y (.f64 y y) (.f64 x (*.f64 x x))))))
(fma.f64 (.f64 y (+.f64 x y)) (/.f64 (+.f64 x y) (fma.f64 y (.f64 y y) (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (/.f64 (+.f64 x y) (fma.f64 y (.f64 y y) (.f64 x (*.f64 x x))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) x (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) y))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) y (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) x))
(fma.f64 (fma.f64 x x (.f64 y y)) (/.f64 (+.f64 x y) (fma.f64 y (.f64 y y) (.f64 x (.f64 x x)))) (.f64 (.f64 x y) (/.f64 (+.f64 x y) (fma.f64 y (.f64 y y) (.f64 x (*.f64 x x))))))
(fma.f64 (/.f64 (+.f64 x y) (fma.f64 y (.f64 y y) (.f64 x (.f64 x x)))) (.f64 x x) (.f64 (/.f64 (+.f64 x y) (fma.f64 y (.f64 y y) (.f64 x (.f64 x x)))) (*.f64 y (+.f64 x y))))
(fma.f64 (/.f64 (+.f64 x y) (fma.f64 y (.f64 y y) (.f64 x (.f64 x x)))) (.f64 y (+.f64 x y)) (.f64 (/.f64 (+.f64 x y) (fma.f64 y (.f64 y y) (.f64 x (.f64 x x)))) (*.f64 x x)))
(fma.f64 (/.f64 (+.f64 x y) (fma.f64 y (.f64 y y) (.f64 x (.f64 x x)))) (fma.f64 x x (.f64 y y)) (.f64 (/.f64 (+.f64 x y) (fma.f64 y (.f64 y y) (.f64 x (.f64 x x)))) (*.f64 x y)))
(neg.f64 (/.f64 (+.f64 x y) (-.f64 y x)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 x y) (+.f64 x y))))
(/.f64 (+.f64 x y) (-.f64 x y))
(/.f64 (-.f64 (neg.f64 y) x) (-.f64 y x))
(/.f64 (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))) (.f64 (-.f64 x y) (fma.f64 x (-.f64 x y) (*.f64 y y))))
(/.f64 (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))) (.f64 (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y))) (-.f64 y x)))
(/.f64 (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))) (.f64 (-.f64 y x) (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (+.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x y) (.f64 y y)) (/.f64 (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))) (-.f64 x y))))
(/.f64 (.f64 (+.f64 x y) (-.f64 x y)) (.f64 (-.f64 x y) (-.f64 x y)))
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 y x) (+.f64 x y)))
(/.f64 (.f64 (fma.f64 y (+.f64 x y) (.f64 x x)) (-.f64 y x)) (.f64 (-.f64 x y) (neg.f64 (fma.f64 x (-.f64 x y) (.f64 y y)))))
(/.f64 (.f64 (fma.f64 y (+.f64 x y) (.f64 x x)) (-.f64 y x)) (.f64 (-.f64 y x) (fma.f64 x (-.f64 x y) (.f64 y y))))
(/.f64 (.f64 (fma.f64 y (+.f64 x y) (.f64 x x)) (-.f64 y x)) (neg.f64 (.f64 (-.f64 x y) (fma.f64 x (-.f64 x y) (.f64 y y)))))
(/.f64 (.f64 (+.f64 x y) (-.f64 y x)) (.f64 (-.f64 x y) (-.f64 y x)))
(/.f64 (.f64 (+.f64 x y) (-.f64 y x)) (.f64 (-.f64 y x) (-.f64 x y)))
(/.f64 (.f64 (+.f64 x y) (-.f64 y x)) (neg.f64 (.f64 (-.f64 x y) (-.f64 x y))))
(/.f64 (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (.f64 (.f64 (-.f64 x y) (fma.f64 x (-.f64 x y) (.f64 y y))) (fma.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x)) (.f64 (.f64 y (.f64 y y)) (fma.f64 y (.f64 y y) (.f64 x (.f64 x x)))))))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (+.f64 x y)))
(/.f64 (.f64 (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))) (fma.f64 y (.f64 y y) (.f64 x (.f64 x x)))) (.f64 (.f64 (-.f64 x y) (fma.f64 x (-.f64 x y) (.f64 y y))) (fma.f64 y (.f64 y y) (.f64 x (*.f64 x x)))))
(/.f64 (.f64 (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))) (fma.f64 y (.f64 y y) (.f64 x (.f64 x x)))) (.f64 (.f64 (-.f64 x y) (-.f64 x y)) (fma.f64 (.f64 y y) (fma.f64 x x (.f64 y y)) (.f64 x (.f64 x (.f64 x x))))))
(/.f64 (.f64 (fma.f64 x x (.f64 y y)) (.f64 (+.f64 x y) (-.f64 x y))) (.f64 (.f64 (-.f64 x y) (-.f64 x y)) (fma.f64 x x (.f64 y y))))
(/.f64 (/.f64 (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))) (-.f64 x y)) (fma.f64 x (-.f64 x y) (.f64 y y)))
(/.f64 (/.f64 (+.f64 x y) (fma.f64 y (.f64 y y) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 x y) (.f64 x x))))
(/.f64 (.f64 (+.f64 x y) (fma.f64 y (+.f64 x y) (.f64 x x))) (fma.f64 y (.f64 y y) (.f64 x (*.f64 x x))))
(/.f64 (.f64 (+.f64 x y) (+.f64 x y)) (.f64 (+.f64 x y) (-.f64 x y)))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (+.f64 x y) (-.f64 y x))) (*.f64 (-.f64 x y) (-.f64 y x)))
(/.f64 (.f64 (.f64 (+.f64 x y) (-.f64 y x)) #s(literal 1 binary64)) (*.f64 (-.f64 x y) (-.f64 y x)))
(/.f64 (.f64 (.f64 (+.f64 x y) (-.f64 y x)) #s(literal 1 binary64)) (*.f64 (-.f64 y x) (-.f64 x y)))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (fma.f64 y (+.f64 x y) (.f64 x x)) (-.f64 y x))) (.f64 (-.f64 x y) (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)))))
(/.f64 (.f64 (.f64 (fma.f64 y (+.f64 x y) (.f64 x x)) (-.f64 y x)) #s(literal 1 binary64)) (.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (-.f64 y x)))
(/.f64 (.f64 (.f64 (fma.f64 y (+.f64 x y) (.f64 x x)) (-.f64 y x)) #s(literal 1 binary64)) (.f64 (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y))) (-.f64 x y)))
(/.f64 (.f64 (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))) #s(literal -1 binary64)) (.f64 (fma.f64 x (-.f64 x y) (.f64 y y)) (-.f64 y x)))
(/.f64 (.f64 (.f64 (+.f64 x y) (-.f64 x y)) #s(literal -1 binary64)) (*.f64 (-.f64 x y) (-.f64 y x)))
(/.f64 (.f64 (.f64 (fma.f64 y (+.f64 x y) (.f64 x x)) (-.f64 y x)) #s(literal -1 binary64)) (.f64 (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y))) (-.f64 y x)))
(/.f64 (.f64 (.f64 (+.f64 x y) (-.f64 y x)) #s(literal -1 binary64)) (*.f64 (-.f64 x y) (-.f64 x y)))
(/.f64 (.f64 #s(literal -1 binary64) (.f64 (fma.f64 y (+.f64 x y) (.f64 x x)) (-.f64 y x))) (.f64 (-.f64 y x) (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)))))
(/.f64 (.f64 #s(literal -1 binary64) (.f64 (+.f64 x y) (-.f64 y x))) (*.f64 (-.f64 x y) (-.f64 x y)))
(/.f64 (.f64 (+.f64 x y) (fma.f64 y (.f64 y y) (.f64 x (.f64 x x)))) (.f64 (.f64 (+.f64 x y) (-.f64 x y)) (fma.f64 x (-.f64 x y) (*.f64 y y))))
(/.f64 (.f64 (+.f64 x y) (.f64 (+.f64 x y) (-.f64 x y))) (.f64 (.f64 (+.f64 x y) (-.f64 x y)) (-.f64 x y)))
(/.f64 (.f64 (+.f64 x y) (.f64 (fma.f64 y (+.f64 x y) (.f64 x x)) (-.f64 y x))) (.f64 (.f64 (+.f64 x y) (-.f64 x y)) (neg.f64 (fma.f64 x (-.f64 x y) (.f64 y y)))))
(/.f64 (.f64 (+.f64 x y) (.f64 (+.f64 x y) (-.f64 y x))) (.f64 (.f64 (+.f64 x y) (-.f64 x y)) (-.f64 y x)))
(/.f64 (.f64 (+.f64 x y) (fma.f64 (.f64 y (+.f64 x y)) (.f64 (.f64 y (+.f64 x y)) (.f64 y (+.f64 x y))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (.f64 (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))) (fma.f64 (.f64 y (+.f64 x y)) (-.f64 (.f64 y (+.f64 x y)) (.f64 x x)) (.f64 x (.f64 x (.f64 x x))))))
(/.f64 (.f64 (+.f64 x y) (.f64 (fma.f64 y (+.f64 x y) (.f64 x x)) (-.f64 (.f64 x x) (.f64 y (+.f64 x y))))) (.f64 (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))) (-.f64 (.f64 x x) (*.f64 y (+.f64 x y)))))
(/.f64 (neg.f64 (/.f64 (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))) (-.f64 x y))) (neg.f64 (fma.f64 x (-.f64 x y) (.f64 y y))))
(/.f64 (/.f64 (+.f64 x y) (.f64 (/.f64 (+.f64 x y) (fma.f64 y (+.f64 x y) (.f64 x x))) #s(literal 1 binary64))) (fma.f64 x (-.f64 x y) (*.f64 y y)))
(/.f64 (/.f64 (+.f64 x y) #s(literal 1 binary64)) (-.f64 x y))
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(/.f64 (neg.f64 (.f64 (fma.f64 y (+.f64 x y) (.f64 x x)) (-.f64 y x))) (neg.f64 (neg.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)))))
(/.f64 (/.f64 (.f64 (+.f64 x y) (-.f64 x y)) (.f64 (/.f64 (+.f64 x y) (fma.f64 y (+.f64 x y) (.f64 x x))) #s(literal 1 binary64))) (fma.f64 y (+.f64 x y) (.f64 x x)))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 y (+.f64 x y) (.f64 x x))) (.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 y (+.f64 x y) (.f64 x x))) (/.f64 (.f64 x (.f64 x x)) (fma.f64 y (+.f64 x y) (.f64 x x))))) (.f64 (/.f64 (.f64 y (.f64 y y)) (fma.f64 y (+.f64 x y) (.f64 x x))) (.f64 (/.f64 (.f64 y (.f64 y y)) (fma.f64 y (+.f64 x y) (.f64 x x))) (/.f64 (.f64 y (.f64 y y)) (fma.f64 y (+.f64 x y) (.f64 x x)))))) (fma.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 y (+.f64 x y) (.f64 x x))) (/.f64 (.f64 x (.f64 x x)) (fma.f64 y (+.f64 x y) (.f64 x x))) (fma.f64 (/.f64 (.f64 y (.f64 y y)) (fma.f64 y (+.f64 x y) (.f64 x x))) (/.f64 (.f64 y (.f64 y y)) (fma.f64 y (+.f64 x y) (.f64 x x))) (.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 y (+.f64 x y) (.f64 x x))) (/.f64 (.f64 y (.f64 y y)) (fma.f64 y (+.f64 x y) (*.f64 x x)))))))
(/.f64 (-.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (+.f64 x y) (.f64 (+.f64 x y) (+.f64 x y)))) (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (.f64 (+.f64 x y) (.f64 (+.f64 x y) (+.f64 x y))))) (fma.f64 (/.f64 (.f64 x x) (+.f64 x y)) (/.f64 (.f64 x x) (+.f64 x y)) (fma.f64 (/.f64 (.f64 y y) (+.f64 x y)) (/.f64 (.f64 y y) (+.f64 x y)) (.f64 (/.f64 (.f64 x x) (+.f64 x y)) (/.f64 (*.f64 y y) (+.f64 x y))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 y (+.f64 x y) (.f64 x x))) (/.f64 (.f64 x (.f64 x x)) (fma.f64 y (+.f64 x y) (.f64 x x)))) (.f64 (/.f64 (.f64 y (.f64 y y)) (fma.f64 y (+.f64 x y) (.f64 x x))) (/.f64 (.f64 y (.f64 y y)) (fma.f64 y (+.f64 x y) (.f64 x x))))) (fma.f64 x (/.f64 (.f64 x x) (fma.f64 y (+.f64 x y) (.f64 x x))) (/.f64 (.f64 y (.f64 y y)) (fma.f64 y (+.f64 x y) (*.f64 x x)))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 x x) (+.f64 x y)) (/.f64 (.f64 x x) (+.f64 x y))) (.f64 (/.f64 (.f64 y y) (+.f64 x y)) (/.f64 (.f64 y y) (+.f64 x y)))) (fma.f64 x (/.f64 x (+.f64 x y)) (/.f64 (*.f64 y y) (+.f64 x y))))
(/.f64 (.f64 (.f64 (/.f64 (+.f64 x y) (fma.f64 y (+.f64 x y) (.f64 x x))) #s(literal 1 binary64)) (fma.f64 (.f64 y (-.f64 y x)) (.f64 (.f64 y y) (.f64 (-.f64 x y) (-.f64 x y))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (fma.f64 (.f64 y (-.f64 y x)) (-.f64 (.f64 y (-.f64 y x)) (.f64 x x)) (.f64 x (.f64 x (.f64 x x)))))
(/.f64 (.f64 (.f64 (/.f64 (+.f64 x y) (fma.f64 y (+.f64 x y) (.f64 x x))) #s(literal 1 binary64)) (.f64 (fma.f64 x (-.f64 x y) (.f64 y y)) (-.f64 (.f64 x x) (.f64 y (-.f64 y x))))) (-.f64 (.f64 x x) (*.f64 y (-.f64 y x))))
(/.f64 (.f64 (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 x y) (.f64 x x)))) (fma.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x)) (.f64 (.f64 y (.f64 y y)) (fma.f64 y (.f64 y y) (.f64 x (*.f64 x x))))))
(/.f64 (.f64 (.f64 (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))) (fma.f64 y (.f64 y y) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 x y) (.f64 x x)))) (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))))
(/.f64 (.f64 (.f64 (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))) (fma.f64 y (.f64 y y) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 x y))) (fma.f64 (.f64 y y) (fma.f64 x x (.f64 y y)) (.f64 x (.f64 x (*.f64 x x)))))
(/.f64 (.f64 (.f64 (fma.f64 x x (.f64 y y)) (.f64 (+.f64 x y) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (+.f64 x y))) (fma.f64 x x (*.f64 y y)))
(/.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) #s(literal -1 binary64)) (+.f64 x y))
(/.f64 (-.f64 (/.f64 (.f64 x x) #s(literal 1 binary64)) (.f64 y y)) (+.f64 x y))
(/.f64 (-.f64 (neg.f64 (.f64 x x)) (neg.f64 (.f64 y y))) (-.f64 (neg.f64 y) x))
(/.f64 (-.f64 (.f64 x x) (/.f64 (.f64 y y) #s(literal 1 binary64))) (+.f64 x y))
(/.f64 (-.f64 (/.f64 (.f64 x x) #s(literal 1 binary64)) (/.f64 (.f64 y y) #s(literal 1 binary64))) (+.f64 x y))
(/.f64 (-.f64 (neg.f64 (.f64 x (.f64 x x))) (.f64 y (.f64 y y))) (neg.f64 (fma.f64 y (+.f64 x y) (*.f64 x x))))
(/.f64 (-.f64 (/.f64 (.f64 x x) (.f64 (/.f64 (+.f64 x y) (fma.f64 y (+.f64 x y) (.f64 x x))) #s(literal 1 binary64))) (/.f64 (.f64 y y) (.f64 (/.f64 (+.f64 x y) (fma.f64 y (+.f64 x y) (.f64 x x))) #s(literal 1 binary64)))) (fma.f64 y (+.f64 x y) (*.f64 x x)))
(pow.f64 (-.f64 x y) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (+.f64 x y) (/.f64 (-.f64 x y) (+.f64 x y)))
(*.f64 (-.f64 x y) #s(literal 1 binary64))
(.f64 (fma.f64 x (-.f64 x y) (.f64 y y)) (.f64 (/.f64 (+.f64 x y) (fma.f64 y (+.f64 x y) (.f64 x x))) #s(literal 1 binary64)))
(.f64 (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 x y) (*.f64 x x))))
(.f64 (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 x y) (*.f64 x x))) #s(literal 1 binary64)))
(.f64 (fma.f64 y (+.f64 x y) (.f64 x x)) (/.f64 (-.f64 x y) (fma.f64 y (+.f64 x y) (*.f64 x x))))
(.f64 (fma.f64 y (+.f64 x y) (.f64 x x)) (.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 x y) (.f64 x x)))))
(*.f64 #s(literal 1 binary64) (-.f64 x y))
(.f64 (.f64 (+.f64 x y) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (+.f64 x y)))
(.f64 (.f64 (+.f64 x y) (-.f64 x y)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (-.f64 y x))
(.f64 (.f64 (fma.f64 y (+.f64 x y) (.f64 x x)) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y (+.f64 x y) (.f64 x x)))))
(.f64 (.f64 (+.f64 x y) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 y) x)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (.f64 (+.f64 x y) (-.f64 x y)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) (.f64 (-.f64 x y) (-.f64 x y)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) (-.f64 x y)) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 x y) (.f64 x x))) (fma.f64 y (.f64 y y) (.f64 x (*.f64 x x))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 x y) (.f64 x x))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y y) (.f64 x (*.f64 x x)))) #s(literal -1 binary64)))
(.f64 (.f64 (/.f64 (+.f64 x y) (fma.f64 y (+.f64 x y) (.f64 x x))) #s(literal 1 binary64)) (fma.f64 x (-.f64 x y) (.f64 y y)))
(.f64 (.f64 (/.f64 (+.f64 x y) (fma.f64 y (+.f64 x y) (.f64 x x))) #s(literal 1 binary64)) (/.f64 (fma.f64 x (-.f64 x y) (.f64 y y)) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y y) (.f64 x (.f64 x x)))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (.f64 y y))) (.f64 (+.f64 x y) (-.f64 x y))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 x y) (-.f64 x y))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) (*.f64 (+.f64 x y) (-.f64 x y))) #s(literal -1 binary64)))
(.f64 (/.f64 (+.f64 x y) (fma.f64 y (.f64 y y) (.f64 x (.f64 x x)))) (/.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y)))))
(.f64 (/.f64 (+.f64 x y) (fma.f64 y (.f64 y y) (.f64 x (.f64 x x)))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y))) (-.f64 x y)) #s(literal -1 binary64)))
(.f64 (/.f64 (+.f64 x y) (.f64 (/.f64 (+.f64 x y) (fma.f64 y (+.f64 x y) (.f64 x x))) #s(literal 1 binary64))) (/.f64 (-.f64 x y) (fma.f64 y (+.f64 x y) (.f64 x x))))
(*.f64 (/.f64 (+.f64 x y) #s(literal 1 binary64)) (/.f64 (-.f64 x y) (+.f64 x y)))
(.f64 (.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 x y) (fma.f64 y (+.f64 x y) (.f64 x x))) #s(literal 1 binary64))) (fma.f64 x (-.f64 x y) (*.f64 y y)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 x y) (fma.f64 y (+.f64 x y) (.f64 x x))) #s(literal 1 binary64))) (pow.f64 (/.f64 (fma.f64 y (+.f64 x y) (.f64 x x)) (*.f64 (+.f64 x y) (-.f64 x y))) #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 (+.f64 x y) (-.f64 y x)) (*.f64 (+.f64 x y) (-.f64 x y))) (-.f64 y x))
(.f64 (/.f64 (.f64 (+.f64 x y) (-.f64 y x)) (fma.f64 y (.f64 y y) (.f64 x (.f64 x x)))) (neg.f64 (fma.f64 x (-.f64 x y) (.f64 y y))))
(.f64 (/.f64 (.f64 (+.f64 x y) (-.f64 x y)) (*.f64 (+.f64 x y) (-.f64 y x))) (-.f64 y x))
(.f64 (/.f64 (.f64 (+.f64 x y) (-.f64 x y)) (.f64 (fma.f64 y (+.f64 x y) (.f64 x x)) (-.f64 y x))) (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y))))
(.f64 (/.f64 (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))) (fma.f64 (.f64 y (+.f64 x y)) (.f64 (.f64 y (+.f64 x y)) (.f64 y (+.f64 x y))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (fma.f64 (.f64 y (+.f64 x y)) (-.f64 (.f64 y (+.f64 x y)) (.f64 x x)) (.f64 x (.f64 x (*.f64 x x)))))
(.f64 (/.f64 (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))) (.f64 (fma.f64 y (+.f64 x y) (.f64 x x)) (-.f64 (.f64 x x) (.f64 y (+.f64 x y))))) (-.f64 (.f64 x x) (.f64 y (+.f64 x y))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y y) (.f64 x (.f64 x x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 x y) (*.f64 x x))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y y) (.f64 x (.f64 x x)))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 x y) (*.f64 x x)))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 x y) (fma.f64 y (+.f64 x y) (.f64 x x))) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (.f64 y y))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 x y) (-.f64 y x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 y) x)))
(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y (.f64 y y) (.f64 x (.f64 x x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)))))
(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (.f64 (+.f64 x y) (-.f64 x y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 y) x)))
(.f64 (pow.f64 (/.f64 (.f64 (/.f64 (+.f64 x y) (fma.f64 y (+.f64 x y) (.f64 x x))) #s(literal 1 binary64)) (+.f64 x y)) #s(literal -1 binary64)) (pow.f64 (/.f64 (fma.f64 y (+.f64 x y) (.f64 x x)) (-.f64 x y)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (-.f64 x y) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 x y) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 x y) (-.f64 x y))) (fma.f64 y (.f64 y y) (.f64 x (.f64 x x)))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y))) #s(literal -1 binary64)))
(.f64 (pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 x y) (-.f64 x y))) (.f64 (/.f64 (+.f64 x y) (fma.f64 y (+.f64 x y) (.f64 x x))) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 x y) (.f64 x x))))
(.f64 (pow.f64 (/.f64 (fma.f64 y (+.f64 x y) (.f64 x x)) (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x)) (.f64 (.f64 y (.f64 y y)) (fma.f64 y (.f64 y y) (.f64 x (*.f64 x x)))))))
(.f64 (pow.f64 (/.f64 (fma.f64 y (+.f64 x y) (.f64 x x)) (.f64 (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))) (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y y) (.f64 x (.f64 x x)))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 y (+.f64 x y) (.f64 x x)) (-.f64 y x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y (+.f64 x y) (.f64 x x)))))
(.f64 (pow.f64 (/.f64 (+.f64 x y) (.f64 (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))) (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) (fma.f64 x x (.f64 y y)) (.f64 x (.f64 x (*.f64 x x))))))
(.f64 (pow.f64 (/.f64 (+.f64 x y) (.f64 (fma.f64 x x (.f64 y y)) (.f64 (+.f64 x y) (-.f64 x y)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y y))))

eval145.0ms (1.8%)

Memory: -48.9MiB live, 148.1MiB allocated
Compiler: Compiled 13 798 to 1 286 computations (90.7% saved)

prune112.0ms (1.4%)

Memory

8.8MiB live, 213.4MiB allocated

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	517	9	526
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	517	10	527

Accuracy

100.0%

Counts

527 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	36.1%	(/.f64 (+.f64 x y) (/.f64 (-.f64 (.f64 (.f64 x x) (+.f64 x y)) (.f64 (+.f64 x y) (.f64 y y))) (*.f64 (+.f64 x y) (+.f64 x y))))
✓	100.0%	(/.f64 (+.f64 x y) (-.f64 x y))
▶	53.6%	(/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y)))
▶	99.9%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (+.f64 x y)))
▶	53.0%	(.f64 (/.f64 (+.f64 x y) (.f64 (+.f64 x y) (-.f64 y x))) (-.f64 (neg.f64 y) x))
	53.0%	(.f64 (+.f64 x y) (/.f64 (-.f64 x y) (.f64 (-.f64 x y) (-.f64 x y))))
▶	53.9%	#s(approx (/ (+ x y) (- x y)) (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -1 binary64)))
	47.8%	#s(approx (/ (+ x y) (- x y)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 y y) x)))
	46.3%	#s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64))
▶	52.8%	#s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64))

Compiler

Compiled 231 to 119 computations (48.5% saved)

simplify195.0ms (2.4%)

Memory

-17.1MiB live, 306.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (+.f64 x y) (-.f64 y x))
cost-diff	0	(+.f64 x y)
cost-diff	448	(.f64 (/.f64 (+.f64 x y) (.f64 (+.f64 x y) (-.f64 y x))) (-.f64 (neg.f64 y) x))
cost-diff	704	(/.f64 (+.f64 x y) (*.f64 (+.f64 x y) (-.f64 y x)))
cost-diff	0	(/.f64 x y)
cost-diff	0	(fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -1 binary64))
cost-diff	0	#s(approx (/ (+ x y) (- x y)) (fma.f64 #s(literal -2 binary64) (/.f64 x y) #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	(+.f64 x y)
cost-diff	0	(-.f64 x y)
cost-diff	0	(/.f64 (-.f64 x y) (+.f64 x y))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (+.f64 x y)))

Rules

7 954×	`lower-fma.f32`
7 952×	`lower-fma.f64`
3 206×	`lower-*.f32`
3 202×	`lower-*.f64`
1 420×	`lower--.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	24	133
0	38	126
1	62	120
2	136	116
3	347	116
4	1089	116
5	4325	116
0	8107	116

Stop Event

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

Calls

Call 1

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

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

localize94.0ms (1.2%)

Memory

31.1MiB live, 139.9MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 (+.f64 x y) (-.f64 y x))
accuracy	0	(neg.f64 y)
accuracy	0.16015625	(.f64 (/.f64 (+.f64 x y) (.f64 (+.f64 x y) (-.f64 y x))) (-.f64 (neg.f64 y) x))
accuracy	28.84290418242516	(/.f64 (+.f64 x y) (*.f64 (+.f64 x y) (-.f64 y x)))
accuracy	0	(fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -1 binary64))
accuracy	0	(/.f64 x y)
accuracy	29.490043835980213	#s(approx (/ (+ x y) (- x y)) (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -1 binary64)))
accuracy	0	(+.f64 x y)
accuracy	0	(neg.f64 y)
accuracy	0.0234375	(/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y)))
accuracy	29.62887155994551	#s(approx (- x y) (neg.f64 y))
accuracy	30.19620732360519	#s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64))
accuracy	0	(-.f64 x y)
accuracy	0	(+.f64 x y)
accuracy	0.015625	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (+.f64 x y)))
accuracy	0.02734375	(/.f64 (-.f64 x y) (+.f64 x y))

Samples

72.0ms

256×

valid

Compiler

Compiled 121 to 21 computations (82.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 59.0ms

ival-div: 44.0ms (75.1% of total)

ival-mult: 6.0ms (10.2% of total)

ival-sub: 4.0ms (6.8% of total)

ival-add: 2.0ms (3.4% of total)

ival-neg: 1.0ms (1.7% of total)

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

exact: 0.0ms (0% of total)

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

series36.0ms (0.4%)

Memory

-1.4MiB live, 42.1MiB allocated

Counts

14 → 324

Calls

Call 1

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

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

81 calls:

Time	Variable		Point	Expression
17.0ms	y	@	0	(/ (+ x y) (* (+ x y) (- y x)))
1.0ms	x	@	0	(+ (* -2 (/ x y)) -1)
0.0ms	x	@	0	(/ (+ x y) (* (+ x y) (- y x)))
0.0ms	x	@	inf	(+ (* -2 (/ x y)) -1)
0.0ms	y	@	inf	(* (/ (+ x y) (* (+ x y) (- y x))) (- (neg y) x))

simplify746.0ms (9.3%)

Memory

4.7MiB live, 321.9MiB allocated

Algorithm

1×	egg-herbie

Rules

13 412×	`lower-fma.f64`
13 412×	`lower-fma.f32`
4 660×	`lower-*.f64`
4 660×	`lower-*.f32`
3 488×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	408	3273
1	1311	2876
2	3959	2574
0	8473	2333

Stop Event

1×	iter limit
1×	node limit

Counts

324 → 312

Calls

Call 1

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

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

rewrite277.0ms (3.4%)

Memory

-14.1MiB live, 231.6MiB allocated

Rules

2 810×	`lower-fma.f32`
2 808×	`lower-fma.f64`
2 562×	`lower-*.f32`
2 560×	`lower-*.f64`
2 220×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	24	106
0	38	95
1	141	89
2	1183	55
0	10681	55

Stop Event

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

Counts

14 → 660

Calls

Call 1

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

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

eval231.0ms (2.9%)

Memory: 27.1MiB live, 447.6MiB allocated
Compiler: Compiled 32 141 to 2 810 computations (91.3% saved)

prune380.0ms (4.7%)

Memory

-18.5MiB live, 477.6MiB allocated

Pruning

10 alts after pruning (4 fresh and 6 done)

	Pruned	Kept	Total
New	1 387	2	1 389
Fresh	2	2	4
Picked	0	5	5
Done	0	1	1
Total	1 389	10	1 399

Accuracy

100.0%

Counts

1 399 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 x y) (-.f64 x y))
▶	86.0%	(/.f64 (+.f64 x y) #s(approx (- x y) (fma.f64 x (/.f64 y (neg.f64 x)) x)))
✓	53.6%	(/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y)))
✓	99.9%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (+.f64 x y)))
✓	53.0%	(.f64 (/.f64 (+.f64 x y) (.f64 (+.f64 x y) (-.f64 y x))) (-.f64 (neg.f64 y) x))
▶	53.0%	(.f64 (+.f64 x y) (/.f64 (-.f64 x y) (.f64 (-.f64 x y) (-.f64 x y))))
▶	47.8%	#s(approx (/ (+ x y) (- x y)) (fma.f64 y (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)))
✓	53.9%	#s(approx (/ (+ x y) (- x y)) (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -1 binary64)))
▶	46.3%	#s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64))
✓	52.8%	#s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64))

Compiler

Compiled 104 to 58 computations (44.2% saved)

simplify282.0ms (3.5%)

Memory

18.2MiB live, 372.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (- x y) (fma.f64 x (/.f64 y (neg.f64 x)) x))
cost-diff	0	(+.f64 x y)
cost-diff	0	(/.f64 (+.f64 x y) #s(approx (- x y) (fma.f64 x (/.f64 y (neg.f64 x)) x)))
cost-diff	1024	(fma.f64 x (/.f64 y (neg.f64 x)) x)
cost-diff	0	(-.f64 x y)
cost-diff	0	(+.f64 x y)
cost-diff	320	(.f64 (+.f64 x y) (/.f64 (-.f64 x y) (.f64 (-.f64 x y) (-.f64 x y))))
cost-diff	704	(/.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y)))
cost-diff	0	(/.f64 #s(literal 2 binary64) x)
cost-diff	0	(fma.f64 y (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (+ x y) (- x y)) (fma.f64 y (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)))
cost-diff	0	#s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64))

Rules

14 424×	`lower-fma.f32`
14 420×	`lower-fma.f64`
5 372×	`lower-*.f32`
5 368×	`lower-*.f64`
1 892×	`lower-+.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	21	122
0	34	110
1	60	104
2	126	104
3	266	96
4	751	96
5	5451	96
0	8538	96

Stop Event

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

Calls

Call 1

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

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

localize144.0ms (1.8%)

Memory

-9.9MiB live, 75.9MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0	(neg.f64 x)
accuracy	0	#s(approx (- x y) (fma.f64 x (/.f64 y (neg.f64 x)) x))
accuracy	0.0234375	(/.f64 (+.f64 x y) #s(approx (- x y) (fma.f64 x (/.f64 y (neg.f64 x)) x)))
accuracy	8.70395052152721	(fma.f64 x (/.f64 y (neg.f64 x)) x)
accuracy	0	(+.f64 x y)
accuracy	0.014003759768442016	(*.f64 (-.f64 x y) (-.f64 x y))
accuracy	0.16015625	(.f64 (+.f64 x y) (/.f64 (-.f64 x y) (.f64 (-.f64 x y) (-.f64 x y))))
accuracy	28.83899793242516	(/.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y)))
accuracy	0	(/.f64 #s(literal 2 binary64) x)
accuracy	0.1015625	(fma.f64 y (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))
accuracy	33.39521519284863	#s(approx (/ (+ x y) (- x y)) (fma.f64 y (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)))
accuracy	34.33718866871973	#s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64))

Samples

77.0ms

256×

valid

Compiler

Compiled 101 to 19 computations (81.2% saved)

Precisions

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

ival-mult: 52.0ms (79.9% of total)

ival-div: 7.0ms (10.8% of total)

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

ival-sub: 1.0ms (1.5% of total)

ival-neg: 1.0ms (1.5% of total)

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

exact: 0.0ms (0% of total)

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

series64.0ms (0.8%)

Memory

-12.6MiB live, 23.5MiB allocated

Counts

13 → 288

Calls

Call 1

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

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

Calls

72 calls:

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

simplify274.0ms (3.4%)

Memory

22.6MiB live, 331.1MiB allocated

Algorithm

1×	egg-herbie

Rules

9 664×	`lower-fma.f64`
9 664×	`lower-fma.f32`
3 420×	`lower-*.f64`
3 420×	`lower-*.f32`
2 746×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	273	2637
1	840	2353
2	2367	2068
3	7571	2068
0	8015	1891

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 273

Calls

Call 1

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

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

rewrite527.0ms (6.5%)

Memory

-26.5MiB live, 467.9MiB allocated

Rules

6 576×	`lower-fma.f32`
6 572×	`lower-fma.f64`
5 296×	`lower-*.f32`
5 292×	`lower-*.f64`
3 708×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	106
0	34	94
1	131	90
2	997	90
0	8569	90

Stop Event

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

Counts

13 → 938

Calls

Call 1

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

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

eval220.0ms (2.7%)

Memory: 44.7MiB live, 465.1MiB allocated
Compiler: Compiled 42 780 to 3 747 computations (91.2% saved)

prune207.0ms (2.6%)

Memory

8.5MiB live, 439.2MiB allocated

Pruning

9 alts after pruning (1 fresh and 8 done)

	Pruned	Kept	Total
New	1 632	1	1 633
Fresh	0	0	0
Picked	1	3	4
Done	1	5	6
Total	1 634	9	1 643

Accuracy

100.0%

Counts

1 643 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 x y) (-.f64 x y))
✓	86.0%	(/.f64 (+.f64 x y) #s(approx (- x y) (fma.f64 x (/.f64 y (neg.f64 x)) x)))
✓	53.6%	(/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y)))
✓	99.9%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (+.f64 x y)))
▶	100.0%	(+.f64 (/.f64 y (-.f64 x y)) (/.f64 x (-.f64 x y)))
✓	47.8%	#s(approx (/ (+ x y) (- x y)) (fma.f64 y (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)))
✓	53.9%	#s(approx (/ (+ x y) (- x y)) (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -1 binary64)))
✓	46.3%	#s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64))
✓	52.8%	#s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64))

Compiler

Compiled 82 to 48 computations (41.5% saved)

simplify28.0ms (0.3%)

Memory

-44.1MiB live, 12.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 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)))

Rules

304×	`lower-fma.f64`
304×	`lower-fma.f32`
176×	`lower-*.f64`
176×	`lower-*.f32`
108×	`unsub-neg`

Iterations

Useful iterations: 9 (0.0ms)

Iter	Nodes	Cost
0	6	26
0	10	26
1	13	26
2	18	26
3	24	26
4	33	26
5	52	26
6	101	26
7	178	24
8	389	24
9	601	22
10	761	22
11	815	22
12	844	22
0	844	22

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(+.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
(+.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))

localize24.0ms (0.3%)

Memory

-4.1MiB live, 32.1MiB allocated

Localize:

Found 4 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	0.01953125	(+.f64 (/.f64 y (-.f64 x y)) (/.f64 x (-.f64 x y)))

Samples

12.0ms

256×

valid

Compiler

Compiled 28 to 8 computations (71.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-div: 3.0ms (48.7% of total)

ival-sub: 1.0ms (16.2% of total)

ival-add: 1.0ms (16.2% of total)

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

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

series5.0ms (0.1%)

Memory

8.1MiB live, 8.1MiB allocated

Counts

4 → 96

Calls

Call 1

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

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

Calls

24 calls:

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

simplify332.0ms (4.1%)

Memory

11.9MiB live, 361.1MiB allocated

Algorithm

1×	egg-herbie

Rules

14 348×	`lower-fma.f64`
14 348×	`lower-fma.f32`
4 498×	`lower-*.f64`
4 498×	`lower-*.f32`
2 386×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	280	1056
1	877	1001
2	2396	904
0	8116	832

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 93

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

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

rewrite294.0ms (3.6%)

Memory

16.7MiB live, 346.5MiB allocated

Rules

7 842×	`lower-fma.f64`
7 842×	`lower-fma.f32`
5 204×	`lower-*.f64`
5 204×	`lower-*.f32`
3 706×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	6	24
0	10	24
1	55	22
2	624	20
0	9206	20

Stop Event

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

Counts

4 → 588

Calls

Call 1

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

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

eval102.0ms (1.3%)

Memory: -22.8MiB live, 214.6MiB allocated
Compiler: Compiled 20 331 to 1 559 computations (92.3% saved)

prune253.0ms (3.1%)

Memory

3.3MiB live, 279.2MiB allocated

Pruning

9 alts after pruning (0 fresh and 9 done)

	Pruned	Kept	Total
New	773	0	773
Fresh	0	0	0
Picked	0	1	1
Done	0	8	8
Total	773	9	782

Accuracy

100.0%

Counts

782 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 x y) (-.f64 x y))
✓	86.0%	(/.f64 (+.f64 x y) #s(approx (- x y) (fma.f64 x (/.f64 y (neg.f64 x)) x)))
✓	53.6%	(/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y)))
✓	99.9%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (+.f64 x y)))
✓	100.0%	(+.f64 (/.f64 y (-.f64 x y)) (/.f64 x (-.f64 x y)))
✓	47.8%	#s(approx (/ (+ x y) (- x y)) (fma.f64 y (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)))
✓	53.9%	#s(approx (/ (+ x y) (- x y)) (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -1 binary64)))
✓	46.3%	#s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64))
✓	52.8%	#s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64))

Compiler

Compiled 214 to 91 computations (57.5% saved)

regimes17.0ms (0.2%)

Memory

-19.7MiB live, 31.6MiB allocated

Counts

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

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

Calls

3 calls:

9.0ms	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 15 to 9 computations (40% saved)

regimes9.0ms (0.1%)

Memory

15.4MiB live, 15.4MiB allocated

Counts

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

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

Calls

3 calls:

3.0ms	y
3.0ms	x
2.0ms	(/.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 15 to 9 computations (40% saved)

regimes8.0ms (0.1%)

Memory

18.7MiB live, 18.7MiB allocated

Counts

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

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

Calls

3 calls:

3.0ms	y
3.0ms	x
2.0ms	(/.f64 (+.f64 x y) (-.f64 x y))

Results

Accuracy	Segments	Branch
78.7%	3	`x`
76.2%	3	`y`
98.4%	2	`(/.f64 (+.f64 x y) (-.f64 x y))`

Compiler

Compiled 15 to 9 computations (40% saved)

regimes5.0ms (0.1%)

Memory

-33.0MiB live, 4.6MiB 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)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 y y) x)))

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

Calls

1 calls:

2.0ms

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

Results

Accuracy	Segments	Branch
98.1%	2	`(/.f64 (+.f64 x y) (-.f64 x y))`

Compiler

Compiled 9 to 5 computations (44.4% saved)

regimes2.0ms (0%)

Memory

3.7MiB live, 3.7MiB 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
97.7%	2	`(/.f64 (+.f64 x y) (-.f64 x y))`

Compiler

Compiled 9 to 5 computations (44.4% saved)

regimes1.0ms (0%)

Memory

2.6MiB live, 2.6MiB 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
97.6%	2	`(/.f64 (+.f64 x y) (-.f64 x y))`

Compiler

Compiled 9 to 5 computations (44.4% saved)

regimes4.0ms (0%)

Memory

6.7MiB live, 6.7MiB 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
52.8%	1	`y`
52.8%	1	`x`
52.8%	1	`(/.f64 (+.f64 x y) (-.f64 x y))`

Compiler

Compiled 15 to 9 computations (40% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.7154125077752421	0.9999999999926146

Compiler

Compiled 12 to 10 computations (16.7% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.7154125077752421	0.9999999999926146

Compiler

Compiled 12 to 10 computations (16.7% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.7154125077752421	0.9999999999926146

Compiler

Compiled 12 to 10 computations (16.7% saved)

bsearch13.0ms (0.2%)

Memory

19.5MiB live, 19.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	-0.7154125077752421	0.9999999999926146

Samples

4.0ms

240×

valid

Compiler

Compiled 162 to 130 computations (19.8% saved)

Precisions

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

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

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

simplify245.0ms (3%)

Memory

-31.3MiB live, 7.7MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	158
1	43	158
2	46	158
3	47	158

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 (/.f64 y (-.f64 x y)) (/.f64 x (-.f64 x y)))
(/.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 #s(literal -2 binary64) (/.f64 x y) #s(literal -1 binary64))) #s(approx (/ (+ x y) (- x y)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 y y) x))))
(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)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 y y) x))))
(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 -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 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 y (-.f64 x y)) (/.f64 x (-.f64 x y)))
(/.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 #s(literal -2 binary64) (/.f64 x y) #s(literal -1 binary64))) #s(approx (/ (+ x y) (- x y)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 y y) x))))
(if (<=.f64 (/.f64 (+.f64 y x) (-.f64 x y)) #s(literal -1/2 binary64)) #s(approx (/ (+ x y) (- x y)) (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -1 binary64))) #s(approx (/ (+ x y) (- x y)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 y y) x))))
(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)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 y y) x))))
(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)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 y y) x))))
(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 -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 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 -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 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))

soundness665.0ms (8.2%)

Memory

18.9MiB live, 369.5MiB allocated

Rules

11 976×	`lower-fma.f64`
11 976×	`lower-fma.f32`
6 576×	`lower-fma.f32`
6 572×	`lower-fma.f64`
5 296×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	140	482
1	432	436
2	1252	395
3	5334	377
0	8411	347
0	21	106
0	34	94
1	131	90
2	997	90
0	8569	90
0	5	13
0	8	13
1	36	13
2	275	13
3	4496	13
0	8990	13

Stop Event

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

Compiler

Compiled 211 to 84 computations (60.2% saved)

preprocess134.0ms (1.7%)

Memory: 15.4MiB live, 132.7MiB allocated
Compiler: Compiled 258 to 78 computations (69.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	6	26
0	10	26
1	13	26
2	18	26
3	24	26
4	33	26
5	52	26
6	101	26
7	178	24
8	389	24
9	601	22
10	761	22
11	815	22
12	844	22
0	844	22

Iter	Nodes	Cost
0	6	26
0	10	26
1	13	26
2	18	26
3	24	26
4	33	26
5	52	26
6	101	26
7	178	24
8	389	24
9	601	22
10	761	22
11	815	22
12	844	22
0	844	22

start0.0ms (0%)

analyze10.0ms (0.1%)

sample897.0ms (11.1%)

explain288.0ms (3.6%)

preprocess65.0ms (0.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify27.0ms (0.3%)

localize19.0ms (0.2%)

series5.0ms (0.1%)

simplify391.0ms (4.9%)

rewrite282.0ms (3.5%)

eval145.0ms (1.8%)

prune112.0ms (1.4%)

simplify195.0ms (2.4%)

localize94.0ms (1.2%)

series36.0ms (0.4%)

simplify746.0ms (9.3%)

rewrite277.0ms (3.4%)

eval231.0ms (2.9%)

prune380.0ms (4.7%)

simplify282.0ms (3.5%)

localize144.0ms (1.8%)

series64.0ms (0.8%)

simplify274.0ms (3.4%)

rewrite527.0ms (6.5%)

eval220.0ms (2.7%)

prune207.0ms (2.6%)

simplify28.0ms (0.3%)

localize24.0ms (0.3%)

series5.0ms (0.1%)

simplify332.0ms (4.1%)

rewrite294.0ms (3.6%)

eval102.0ms (1.3%)

prune253.0ms (3.1%)

regimes17.0ms (0.2%)

regimes9.0ms (0.1%)

regimes8.0ms (0.1%)

regimes5.0ms (0.1%)

regimes2.0ms (0%)

regimes1.0ms (0%)

regimes4.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch13.0ms (0.2%)

simplify245.0ms (3%)

soundness665.0ms (8.2%)

preprocess134.0ms (1.7%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	6	26
0	10	26
1	13	26
2	18	26
3	24	26
4	33	26
5	52	26
6	101	26
7	178	24
8	389	24
9	601	22
10	761	22
11	815	22
12	844	22
0	844	22