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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze14.0ms (0.2%)

Memory

-21.2MiB live, 21.1MiB 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)

sample614.0ms (8.4%)

Memory

44.2MiB live, 1 051.0MiB allocated

Samples

387.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 196.0ms

ival-div: 68.0ms (34.8% of total)

ival-sub: 60.0ms (30.7% of total)

ival-add: 58.0ms (29.7% of total)

ival-true: 6.0ms (3.1% of total)

ival-assert: 4.0ms (2% of total)

Bogosity

explain93.0ms (1.3%)

Memory

-52.4MiB live, 110.1MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	1

Precision?

0/0

Recall?

0/0

Samples

20.0ms

512×

valid

Compiler

Compiled 43 to 19 computations (55.8% saved)

Precisions

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

ival-sub: 3.0ms (32.7% of total)

ival-div: 3.0ms (32.7% of total)

ival-add: 3.0ms (32.7% of total)

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

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

preprocess110.0ms (1.5%)

Memory

-0.3MiB live, 78.7MiB allocated

Algorithm

1×	egg-herbie

Rules

264×	`times-frac`
152×	`lower-fma.f64`
152×	`lower-fma.f32`
125×	`div-sub`
108×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 9 to 5 computations (44.4% saved)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(/.f64 (+.f64 x y) (-.f64 x y))

Compiler

Compiled 9 to 5 computations (44.4% saved)

simplify24.0ms (0.3%)

Memory

22.1MiB live, 22.1MiB 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

152×	`lower-fma.f64`
152×	`lower-fma.f32`
108×	`times-frac`
100×	`div-sub`
88×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize52.0ms (0.7%)

Memory

-27.5MiB live, 14.0MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 x y)
accuracy	0	(+.f64 x y)
accuracy	0.04296875	(/.f64 (+.f64 x y) (-.f64 x y))

Samples

10.0ms

256×

valid

Compiler

Compiled 17 to 7 computations (58.8% saved)

Precisions

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

ival-div: 2.0ms (45% of total)

ival-sub: 1.0ms (22.5% of total)

ival-add: 1.0ms (22.5% of total)

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

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

series5.0ms (0.1%)

Memory

3.5MiB live, 3.5MiB 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	@	0	(/ (+ x y) (- x y))
0.0ms	y	@	0	(/ (+ x y) (- x y))

simplify187.0ms (2.5%)

Memory

38.8MiB live, 147.0MiB allocated

Algorithm

1×	egg-herbie

Rules

5 988×	`lower-fma.f64`
5 988×	`lower-fma.f32`
1 639×	`lower-*.f64`
1 639×	`lower-*.f32`
890×	`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 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64))
(- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal 2 binary64))) y))
(- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1)
(fma.f64 (fma.f64 (fma.f64 (/.f64 x (.f64 (.f64 y y) y)) #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 y y))) x (/.f64 #s(literal -2 binary64) y)) x #s(literal -1 binary64))
1
#s(literal 1 binary64)
(- (+ 1 (/ y x)) (* -1 (/ y x)))
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64))
(- (+ 1 (+ (/ y x) (/ (* y (- y (* -1 y))) (pow x 2)))) (* -1 (/ y x)))
(fma.f64 (-.f64 (/.f64 y x) #s(literal -1 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)))))
(fma.f64 (/.f64 (+.f64 y y) (*.f64 x x)) (fma.f64 (/.f64 y x) y y) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(- (+ 1 (/ y x)) (* -1 (/ y x)))
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1 (- y (* -1 y))) (* -1 (/ (* y (- y (* -1 y))) x))) x)))
(fma.f64 (-.f64 (/.f64 y x) #s(literal -1 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 (/.f64 (fma.f64 #s(literal 2 binary64) y (/.f64 (*.f64 (+.f64 y y) (fma.f64 (/.f64 y x) y y)) x)) x) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ y x)))
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64))
(+ 1 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))
(fma.f64 (-.f64 (/.f64 y x) #s(literal -1 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)))))
(fma.f64 (/.f64 (+.f64 y y) (*.f64 x x)) (fma.f64 (/.f64 y x) y y) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)))
-1
#s(literal -1 binary64)
(- (* -1 (/ x y)) (+ 1 (/ x y)))
(fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64))
(- (+ (* -1 (/ x y)) (/ (* x (- (* -1 x) x)) (pow y 2))) (+ 1 (/ x y)))
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (fma.f64 (/.f64 #s(literal 2 binary64) y) x #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 (fma.f64 #s(literal 2 binary64) x (/.f64 (*.f64 (+.f64 x x) (fma.f64 (/.f64 x y) x x)) y)) y))
-1
#s(literal -1 binary64)
(- (* -1 (/ (- x (* -1 x)) y)) 1)
(fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64))
(- (* -1 (/ (- (+ x (/ (* x (- x (* -1 x))) y)) (* -1 x)) y)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (fma.f64 (/.f64 #s(literal 2 binary64) y) x #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 (fma.f64 #s(literal 2 binary64) x (/.f64 (*.f64 (+.f64 x x) (fma.f64 (/.f64 x y) x x)) y)) y))
y
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
x
(* x (+ 1 (/ y x)))
(+.f64 y x)
(* x (+ 1 (/ y x)))
(+.f64 y x)
(* x (+ 1 (/ y x)))
(+.f64 y x)
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 y x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 y x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 y x)
x
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
y
(* y (+ 1 (/ x y)))
(+.f64 y x)
(* y (+ 1 (/ x y)))
(+.f64 y x)
(* y (+ 1 (/ x y)))
(+.f64 y x)
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 y x)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 y x)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 y 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 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)

rewrite257.0ms (3.5%)

Memory

-36.2MiB live, 168.3MiB allocated

Rules

2 310×	`lower-*.f64`
2 310×	`lower-*.f32`
1 883×	`lower-fma.f64`
1 883×	`lower-fma.f32`
1 505×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

3 → 463

Calls

Call 1

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

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

eval76.0ms (1%)

Memory: 27.2MiB live, 137.5MiB allocated
Compiler: Compiled 13 789 to 1 292 computations (90.6% saved)

prune129.0ms (1.8%)

Memory

13.1MiB live, 171.3MiB allocated

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	516	10	526
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	516	11	527

Accuracy

100.0%

Counts

527 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 y x)) y (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 y x)) x))
▶	99.7%	(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 y x)) x (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 y x)) y))
	53.1%	(pow.f64 (*.f64 (/.f64 (-.f64 x y) (+.f64 y x)) (/.f64 (-.f64 x y) (+.f64 y x))) #s(literal -1/2 binary64))
	44.0%	(/.f64 (+.f64 x y) (fma.f64 (.f64 x x) (/.f64 x (fma.f64 (+.f64 y x) y (.f64 x x))) (neg.f64 (.f64 (.f64 y y) (/.f64 y (fma.f64 (+.f64 y x) y (*.f64 x x)))))))
✓	99.9%	(/.f64 (+.f64 x y) (-.f64 x y))
▶	48.0%	(/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y)))
	99.7%	(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 y x)) (+.f64 y x))
▶	52.7%	#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)))
	48.5%	#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64)))
	51.5%	#s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64))
▶	47.2%	#s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64))

Compiler

Compiled 273 to 135 computations (50.5% saved)

simplify59.0ms (0.8%)

Memory

-5.4MiB live, 34.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 y x)
cost-diff	0	(/.f64 #s(literal -1 binary64) (-.f64 y x))
cost-diff	320	(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 y x)) x)
cost-diff	1088	(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 y x)) y (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 y x)) x))
cost-diff	0	(/.f64 #s(literal 2 binary64) x)
cost-diff	0	(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)))
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 y x)
cost-diff	0	(/.f64 #s(literal -1 binary64) (-.f64 y x))
cost-diff	320	(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 y x)) y)
cost-diff	1088	(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 y x)) x (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 y x)) y))

Rules

376×	`lower-fma.f32`
373×	`lower-fma.f64`
248×	`lower-*.f32`
246×	`lower-*.f64`
160×	`div-sub`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	22	124
0	34	113
1	53	112
2	78	110
3	115	108
4	193	106
5	332	106
6	595	106
7	1053	106
8	1483	106
9	1877	106
10	1925	106
11	1950	106
12	1970	106
13	1970	106
0	1970	106

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize63.0ms (0.9%)

Memory

20.6MiB live, 132.9MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 y x)
accuracy	0.03125	(/.f64 #s(literal -1 binary64) (-.f64 y x))
accuracy	0.078125	(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 y x)) y (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 y x)) x))
accuracy	0.166347509768442	(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 y x)) x)
accuracy	0	(/.f64 #s(literal 2 binary64) x)
accuracy	0.109375	(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64))
accuracy	30.271058228714974	#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)))
accuracy	0	(+.f64 x y)
accuracy	0	(neg.f64 y)
accuracy	0.04296875	(/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y)))
accuracy	33.11686212591196	#s(approx (- x y) (neg.f64 y))
accuracy	33.78366587900583	#s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64))
accuracy	0	(-.f64 y x)
accuracy	0.03125	(/.f64 #s(literal -1 binary64) (-.f64 y x))
accuracy	0.1015625	(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 y x)) x (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 y x)) y))
accuracy	0.16015625	(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 y x)) y)

Samples

37.0ms

256×

valid

Compiler

Compiled 114 to 20 computations (82.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-div: 8.0ms (32.9% of total)

ival-add: 7.0ms (28.8% of total)

ival-mult: 5.0ms (20.5% of total)

ival-sub: 3.0ms (12.3% of total)

ival-neg: 1.0ms (4.1% of total)

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

exact: 0.0ms (0% of total)

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

series29.0ms (0.4%)

Memory

-21.2MiB live, 61.5MiB allocated

Counts

14 → 312

Calls

Call 1

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

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

Calls

78 calls:

Time	Variable		Point	Expression
6.0ms	y	@	-inf	(+ (* (/ -1 (- y x)) x) (* (/ -1 (- y x)) y))
3.0ms	x	@	inf	(+ (* (/ -1 (- y x)) x) (* (/ -1 (- y x)) y))
1.0ms	x	@	inf	(+ (* (/ 2 x) y) 1)
1.0ms	x	@	-inf	(+ (* (/ -1 (- y x)) x) (* (/ -1 (- y x)) y))
0.0ms	y	@	inf	(+ (* (/ -1 (- y x)) x) (* (/ -1 (- y x)) y))

simplify210.0ms (2.9%)

Memory

8.0MiB live, 294.0MiB allocated

Algorithm

1×	egg-herbie

Rules

5 797×	`lower-fma.f64`
5 797×	`lower-fma.f32`
1 705×	`lower-*.f64`
1 705×	`lower-*.f32`
1 492×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	396	2959
1	1229	2752
2	3416	2552
0	8153	2302

Stop Event

1×	iter limit
1×	node limit

Counts

312 → 300

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

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

rewrite300.0ms (4.1%)

Memory

3.1MiB live, 309.4MiB allocated

Rules

2 849×	`lower-fma.f32`
2 846×	`lower-fma.f64`
2 050×	`lower-/.f32`
2 047×	`lower-/.f64`
1 882×	`lower-*.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	103
0	34	92
1	137	89
2	1073	85
0	8651	85

Stop Event

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

Counts

14 → 896

Calls

Call 1

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

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

eval235.0ms (3.2%)

Memory: -7.4MiB live, 506.4MiB allocated
Compiler: Compiled 42 057 to 2 411 computations (94.3% saved)

prune506.0ms (6.9%)

Memory

13.1MiB live, 292.2MiB allocated

Pruning

11 alts after pruning (7 fresh and 4 done)

	Pruned	Kept	Total
New	1 666	7	1 673
Fresh	5	0	5
Picked	2	3	5
Done	0	1	1
Total	1 673	11	1 684

Accuracy

100.0%

Counts

1 684 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	44.1%	(/.f64 (fma.f64 x (-.f64 x y) (.f64 (-.f64 x y) y)) (.f64 (-.f64 x y) (-.f64 x y)))
✓	99.9%	(/.f64 (+.f64 x y) (-.f64 x y))
▶	87.4%	(/.f64 (+.f64 x y) #s(approx (- x y) (fma.f64 (/.f64 (neg.f64 y) x) x x)))
✓	48.0%	(/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y)))
▶	100.0%	(-.f64 (/.f64 x (-.f64 x y)) (/.f64 y (-.f64 y x)))
▶	99.7%	(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) (+.f64 x y))
▶	48.5%	#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -1 binary64)))
✓	52.7%	#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)))
	52.9%	#s(approx (/ (+ x y) (- x y)) (fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (/.f64 y x) (fma.f64 y (/.f64 y x) y) y) x) #s(literal 1 binary64)))
▶	51.5%	#s(approx (/ (+ x y) (- x y)) #s(approx (+ (* (/ 2 x) y) 1) #s(literal 1 binary64)))
✓	47.2%	#s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64))

Compiler

Compiled 213 to 111 computations (47.9% saved)

simplify117.0ms (1.6%)

Memory

24.9MiB live, 100.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (- x y) (fma.f64 (/.f64 (neg.f64 y) x) x x))
cost-diff	0	(+.f64 x y)
cost-diff	0	(/.f64 (+.f64 x y) #s(approx (- x y) (fma.f64 (/.f64 (neg.f64 y) x) x x)))
cost-diff	1024	(fma.f64 (/.f64 (neg.f64 y) x) x x)
cost-diff	0	(+.f64 x y)
cost-diff	0	(-.f64 x y)
cost-diff	0	(/.f64 #s(literal 1 binary64) (-.f64 x y))
cost-diff	320	(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) (+.f64 x y))
cost-diff	0	(/.f64 x y)
cost-diff	0	(fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -1 binary64))
cost-diff	0	#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -1 binary64)))
cost-diff	0	#s(approx (+ (* (/ 2 x) y) 1) #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (+ x y) (- x y)) #s(approx (+ (* (/ 2 x) y) 1) #s(literal 1 binary64)))
cost-diff	0	(/.f64 y (-.f64 y x))
cost-diff	0	(-.f64 x y)
cost-diff	0	(/.f64 x (-.f64 x y))
cost-diff	896	(-.f64 (/.f64 x (-.f64 x y)) (/.f64 y (-.f64 y x)))

Rules

2 397×	`lower-fma.f32`
2 395×	`lower-fma.f64`
1 599×	`lower-*.f32`
1 598×	`lower-*.f64`
888×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	150
0	46	148
1	81	148
2	137	132
3	231	132
4	615	132
5	2425	132
6	5011	132
7	7873	132
0	8054	130

Stop Event

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

Calls

Call 1

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

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

localize189.0ms (2.6%)

Memory

-58.3MiB live, 94.5MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0	(neg.f64 y)
accuracy	0	#s(approx (- x y) (fma.f64 (/.f64 (neg.f64 y) x) x x))
accuracy	0.0390625	(/.f64 (+.f64 x y) #s(approx (- x y) (fma.f64 (/.f64 (neg.f64 y) x) x x)))
accuracy	7.7154546512656115	(fma.f64 (/.f64 (neg.f64 y) x) x x)
accuracy	0	(-.f64 x y)
accuracy	0	(+.f64 x y)
accuracy	0.03125	(/.f64 #s(literal 1 binary64) (-.f64 x y))
accuracy	0.1484375	(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) (+.f64 x y))
accuracy	0	(/.f64 x y)
accuracy	0.00390625	(fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -1 binary64))
accuracy	32.79316853475746	#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -1 binary64)))
accuracy	30.024959607239023	#s(approx (/ (+ x y) (- x y)) #s(approx (+ (* (/ 2 x) y) 1) #s(literal 1 binary64)))
accuracy	30.277508129758587	#s(approx (+ (* (/ 2 x) y) 1) #s(literal 1 binary64))
accuracy	0	(-.f64 x y)
accuracy	0.01171875	(/.f64 x (-.f64 x y))
accuracy	0.02734375	(/.f64 y (-.f64 y x))
accuracy	0.0390625	(-.f64 (/.f64 x (-.f64 x y)) (/.f64 y (-.f64 y x)))

Samples

130.0ms	255×	0	valid
1.0ms	1×	5	exit

Compiler

Compiled 119 to 27 computations (77.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 98.0ms

ival-sub: 58.0ms (58.9% of total)

ival-div: 28.0ms (28.4% of total)

ival-mult: 6.0ms (6.1% of total)

ival-add: 4.0ms (4.1% of total)

ival-neg: 1.0ms (1% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series17.0ms (0.2%)

Memory

16.2MiB live, 16.2MiB allocated

Counts

16 → 372

Calls

Call 1

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

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

Calls

93 calls:

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

simplify300.0ms (4.1%)

Memory

-12.9MiB live, 260.1MiB allocated

Algorithm

1×	egg-herbie

Rules

8 158×	`lower-fma.f64`
8 158×	`lower-fma.f32`
1 845×	`lower-*.f64`
1 845×	`lower-*.f32`
1 726×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	411	3487
1	1304	3277
2	3709	2892
0	8462	2641

Stop Event

1×	iter limit
1×	node limit

Counts

372 → 357

Calls

Call 1

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

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

rewrite452.0ms (6.2%)

Memory

2.5MiB live, 513.9MiB allocated

Rules

2 737×	`lower-*.f32`
2 736×	`lower-*.f64`
2 532×	`lower-/.f32`
2 526×	`lower-/.f64`
1 643×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	125
0	46	127
1	198	119
2	1657	116
0	8921	111

Stop Event

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

Counts

16 → 1 499

Calls

Call 1

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

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

eval564.0ms (7.7%)

Memory: 15.6MiB live, 488.8MiB allocated
Compiler: Compiled 52 619 to 3 105 computations (94.1% saved)

prune204.0ms (2.8%)

Memory

36.3MiB live, 535.7MiB allocated

Pruning

11 alts after pruning (2 fresh and 9 done)

	Pruned	Kept	Total
New	2 016	1	2 017
Fresh	1	1	2
Picked	0	5	5
Done	0	4	4
Total	2 017	11	2 028

Accuracy

100.0%

Counts

2 028 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(/.f64 (+.f64 x y) (-.f64 x y))
✓	87.4%	(/.f64 (+.f64 x y) #s(approx (- x y) (fma.f64 (/.f64 (neg.f64 y) x) x x)))
✓	48.0%	(/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y)))
✓	100.0%	(-.f64 (/.f64 x (-.f64 x y)) (/.f64 y (-.f64 y x)))
✓	99.7%	(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) (+.f64 x y))
▶	86.9%	(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) #s(approx (+ x y) (fma.f64 (/.f64 x y) y y)))
✓	48.5%	#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -1 binary64)))
✓	52.7%	#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)))
▶	52.9%	#s(approx (/ (+ x y) (- x y)) (fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (/.f64 y x) (fma.f64 y (/.f64 y x) y) y) x) #s(literal 1 binary64)))
✓	51.5%	#s(approx (/ (+ x y) (- x y)) #s(approx (+ (* (/ 2 x) y) 1) #s(literal 1 binary64)))
✓	47.2%	#s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64))

Compiler

Compiled 117 to 66 computations (43.6% saved)

simplify235.0ms (3.2%)

Memory

-30.5MiB live, 192.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Rules

5 254×	`lower-fma.f32`
5 250×	`lower-fma.f64`
2 213×	`lower-*.f32`
2 212×	`lower-*.f64`
801×	`lower-neg.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	19	123
0	33	123
1	64	121
2	118	118
3	205	112
4	368	112
5	1138	112
6	3401	112
7	5425	112
0	8400	112

Stop Event

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

Calls

Call 1

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

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

localize118.0ms (1.6%)

Memory

-3.1MiB live, 81.6MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0	#s(approx (+ x y) (fma.f64 (/.f64 x y) y y))
accuracy	0.03125	(/.f64 #s(literal 1 binary64) (-.f64 x y))
accuracy	0.15234375	(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) #s(approx (+ x y) (fma.f64 (/.f64 x y) y y)))
accuracy	7.981769136322119	(fma.f64 (/.f64 x y) y y)
accuracy	0.0546875	(fma.f64 (/.f64 y x) (fma.f64 y (/.f64 y x) y) y)
accuracy	0.07421875	(fma.f64 y (/.f64 y x) y)
accuracy	2.1408491090443307	(/.f64 (fma.f64 (/.f64 y x) (fma.f64 y (/.f64 y x) y) y) x)
accuracy	30.115677096061194	#s(approx (/ (+ x y) (- x y)) (fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (/.f64 y x) (fma.f64 y (/.f64 y x) y) y) x) #s(literal 1 binary64)))

Samples

82.0ms

256×

valid

Compiler

Compiled 103 to 22 computations (78.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 72.0ms

ival-div: 57.0ms (79.5% of total)

ival-mult: 7.0ms (9.8% of total)

ival-add: 6.0ms (8.4% of total)

ival-sub: 1.0ms (1.4% of total)

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

exact: 0.0ms (0% of total)

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

series21.0ms (0.3%)

Memory

-14.0MiB live, 21.2MiB allocated

Counts

10 → 240

Calls

Call 1

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

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

Calls

60 calls:

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

simplify413.0ms (5.6%)

Memory

33.5MiB live, 307.4MiB allocated

Algorithm

1×	egg-herbie

Rules

6 518×	`lower-fma.f64`
6 518×	`lower-fma.f32`
2 121×	`lower-*.f64`
2 121×	`lower-*.f32`
1 865×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	363	2603
1	1128	2335
2	3359	2175
0	8178	2008

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 219

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

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

rewrite272.0ms (3.7%)

Memory

-7.5MiB live, 356.1MiB allocated

Rules

2 593×	`lower-/.f32`
2 589×	`lower-/.f64`
2 451×	`lower-fma.f32`
2 447×	`lower-fma.f64`
2 108×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	110
0	33	110
1	148	108
2	1189	105
0	8319	102

Stop Event

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

Counts

10 → 570

Calls

Call 1

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

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

eval335.0ms (4.6%)

Memory: 3.4MiB live, 190.3MiB allocated
Compiler: Compiled 25 078 to 2 412 computations (90.4% saved)

prune141.0ms (1.9%)

Memory

1.7MiB live, 221.4MiB allocated

Pruning

11 alts after pruning (0 fresh and 11 done)

	Pruned	Kept	Total
New	789	0	789
Fresh	0	0	0
Picked	0	2	2
Done	0	9	9
Total	789	11	800

Accuracy

100.0%

Counts

800 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(/.f64 (+.f64 x y) (-.f64 x y))
✓	87.4%	(/.f64 (+.f64 x y) #s(approx (- x y) (fma.f64 (/.f64 (neg.f64 y) x) x x)))
✓	48.0%	(/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y)))
✓	100.0%	(-.f64 (/.f64 x (-.f64 x y)) (/.f64 y (-.f64 y x)))
✓	99.7%	(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) (+.f64 x y))
✓	86.9%	(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) #s(approx (+ x y) (fma.f64 (/.f64 x y) y y)))
✓	48.5%	#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -1 binary64)))
✓	52.7%	#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)))
✓	52.9%	#s(approx (/ (+ x y) (- x y)) (fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (/.f64 y x) (fma.f64 y (/.f64 y x) y) y) x) #s(literal 1 binary64)))
✓	51.5%	#s(approx (/ (+ x y) (- x y)) #s(approx (+ (* (/ 2 x) y) 1) #s(literal 1 binary64)))
✓	47.2%	#s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64))

Compiler

Compiled 328 to 123 computations (62.5% saved)

regimes30.0ms (0.4%)

Memory

-5.6MiB live, 33.1MiB allocated

Counts

19 → 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))
#s(approx (/ (+ x y) (- x y)) #s(approx (+ (* (/ 2 x) y) 1) #s(literal 1 binary64)))
(/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y)))
#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64)))
#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)))
#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -1 binary64)))
(/.f64 (+.f64 x y) (-.f64 x y))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 y x)) (+.f64 y x))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) (+.f64 x y))
(-.f64 (/.f64 x (-.f64 x y)) (/.f64 y (-.f64 y x)))
(/.f64 (+.f64 x y) #s(approx (- x y) (fma.f64 (/.f64 (neg.f64 y) x) x x)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) #s(approx (+ x y) (fma.f64 (/.f64 x y) y y)))
(/.f64 (fma.f64 x (-.f64 x y) (.f64 (-.f64 x y) y)) (.f64 (-.f64 x y) (-.f64 x y)))
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 y x)) x (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 y x)) y))
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 y x)) y (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 y x)) x))
#s(approx (/ (+ x y) (- x y)) (fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (/.f64 y x) (fma.f64 y (/.f64 y x) y) y) x) #s(literal 1 binary64)))
(/.f64 (+.f64 x y) (fma.f64 (.f64 x x) (/.f64 x (fma.f64 (+.f64 y x) y (.f64 x x))) (neg.f64 (.f64 (.f64 y y) (/.f64 y (fma.f64 (+.f64 y x) y (*.f64 x x)))))))
(pow.f64 (*.f64 (/.f64 (-.f64 x y) (+.f64 y x)) (/.f64 (-.f64 x y) (+.f64 y x))) #s(literal -1/2 binary64))

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

Calls

3 calls:

17.0ms	(/.f64 (+.f64 x y) (-.f64 x y))
6.0ms	y
6.0ms	x

Results

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

Compiler

Compiled 15 to 9 computations (40% saved)

regimes13.0ms (0.2%)

Memory

-10.9MiB live, 25.2MiB allocated

Counts

10 → 1

Calls

Call 1

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

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

Calls

3 calls:

7.0ms	y
4.0ms	x
3.0ms	(/.f64 (+.f64 x y) (-.f64 x y))

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`y`
99.9%	1	`(/.f64 (+.f64 x y) (-.f64 x y))`

Compiler

Compiled 15 to 9 computations (40% saved)

regimes12.0ms (0.2%)

Memory

-7.1MiB live, 27.6MiB allocated

Counts

7 → 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))
#s(approx (/ (+ x y) (- x y)) #s(approx (+ (* (/ 2 x) y) 1) #s(literal 1 binary64)))
(/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y)))
#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64)))
#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)))
#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -1 binary64)))

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
73.2%	3	`x`
81.8%	3	`y`
98.2%	2	`(/.f64 (+.f64 x y) (-.f64 x y))`

Compiler

Compiled 15 to 9 computations (40% saved)

regimes2.0ms (0%)

Memory

6.5MiB live, 6.5MiB allocated

Counts

5 → 2

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

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

Results

Accuracy	Segments	Branch
97.7%	2	`(/.f64 (+.f64 x y) (-.f64 x y))`

Compiler

Compiled 9 to 5 computations (44.4% saved)

regimes2.0ms (0%)

Memory

5.1MiB live, 5.1MiB allocated

Counts

4 → 2

Calls

Call 1

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

2.0ms

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

Results

Accuracy	Segments	Branch
97.2%	2	`(/.f64 (+.f64 x y) (-.f64 x y))`

Compiler

Compiled 9 to 5 computations (44.4% saved)

regimes2.0ms (0%)

Memory

4.4MiB live, 4.4MiB 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))
#s(approx (/ (+ x y) (- x y)) #s(approx (+ (* (/ 2 x) y) 1) #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
97.2%	2	`(/.f64 (+.f64 x y) (-.f64 x y))`

Compiler

Compiled 9 to 5 computations (44.4% saved)

regimes4.0ms (0.1%)

Memory

10.7MiB live, 10.7MiB 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	y
1.0ms	x
1.0ms	(/.f64 (+.f64 x y) (-.f64 x y))

Results

Accuracy	Segments	Branch
47.2%	1	`x`
47.2%	1	`y`
47.2%	1	`(/.f64 (+.f64 x y) (-.f64 x y))`

Compiler

Compiled 15 to 9 computations (40% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9998728358294113	0.919712950838748

Compiler

Compiled 12 to 10 computations (16.7% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9998728358294113	0.919712950838748

Compiler

Compiled 12 to 10 computations (16.7% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9998728358294113	0.919712950838748

Compiler

Compiled 12 to 10 computations (16.7% saved)

bsearch18.0ms (0.2%)

Memory

-15.4MiB live, 26.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	-0.9998728358294113	0.919712950838748

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)

simplify22.0ms (0.3%)

Memory

-9.7MiB live, 27.9MiB allocated

Algorithm

1×	egg-herbie

Rules

64×	`unsub-neg_binary64`
53×	`distribute-lft-neg-in_binary64`
43×	`neg-mul-1_binary64`
33×	`neg-sub0_binary64`
25×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	155
1	46	155
2	58	155
3	68	155
4	84	155
5	114	155
6	155	155
7	208	155
8	277	155
9	327	155
10	368	155
11	394	155
12	417	155
13	436	155
14	453	155
15	458	155
16	459	155

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (/.f64 x (-.f64 x y)) (/.f64 y (-.f64 y x)))
(/.f64 (+.f64 x y) (-.f64 x y))
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 x y)) #s(literal -1/2 binary64)) #s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64))) #s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 x y)) #s(literal -1/2 binary64)) #s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64))) #s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 x y)) #s(literal -1/2 binary64)) (/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y))) #s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 x y)) #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64)) #s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64)))
#s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64))

Outputs
(-.f64 (/.f64 x (-.f64 x y)) (/.f64 y (-.f64 y x)))
(-.f64 (/.f64 y (-.f64 x y)) (/.f64 x (-.f64 y x)))
(/.f64 (+.f64 x y) (-.f64 x y))
(/.f64 (+.f64 y x) (-.f64 x y))
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 x y)) #s(literal -1/2 binary64)) #s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64))) #s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (+.f64 y x) (-.f64 x y)) #s(literal -1/2 binary64)) #s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64))) #s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 x y)) #s(literal -1/2 binary64)) #s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64))) #s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (+.f64 y x) (-.f64 x y)) #s(literal -1/2 binary64)) #s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64))) #s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 x y)) #s(literal -1/2 binary64)) (/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y))) #s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (+.f64 y x) (-.f64 x y)) #s(literal -1/2 binary64)) (/.f64 (+.f64 y x) #s(approx (- x y) (neg.f64 y))) #s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 x y)) #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64)) #s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (+.f64 y x) (-.f64 x y)) #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 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))

soundness718.0ms (9.8%)

Memory

6.2MiB live, 360.2MiB allocated

Rules

5 988×	`lower-fma.f64`
5 988×	`lower-fma.f32`
2 849×	`lower-fma.f32`
2 846×	`lower-fma.f64`
2 310×	`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
0	22	103
0	34	92
1	137	89
2	1073	85
0	8651	85
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 170 to 77 computations (54.7% saved)

preprocess163.0ms (2.2%)

Memory: 18.0MiB live, 57.0MiB allocated
Compiler: Compiled 244 to 80 computations (67.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	35	155
1	46	155
2	58	155
3	68	155
4	84	155
5	114	155
6	155	155
7	208	155
8	277	155
9	327	155
10	368	155
11	394	155
12	417	155
13	436	155
14	453	155
15	458	155
16	459	155

Iter	Nodes	Cost
0	35	155
1	46	155
2	58	155
3	68	155
4	84	155
5	114	155
6	155	155
7	208	155
8	277	155
9	327	155
10	368	155
11	394	155
12	417	155
13	436	155
14	453	155
15	458	155
16	459	155

start0.0ms (0%)

analyze14.0ms (0.2%)

sample614.0ms (8.4%)

explain93.0ms (1.3%)

preprocess110.0ms (1.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify24.0ms (0.3%)

localize52.0ms (0.7%)

series5.0ms (0.1%)

simplify187.0ms (2.5%)

rewrite257.0ms (3.5%)

eval76.0ms (1%)

prune129.0ms (1.8%)

simplify59.0ms (0.8%)

localize63.0ms (0.9%)

series29.0ms (0.4%)

simplify210.0ms (2.9%)

rewrite300.0ms (4.1%)

eval235.0ms (3.2%)

prune506.0ms (6.9%)

simplify117.0ms (1.6%)

localize189.0ms (2.6%)

series17.0ms (0.2%)

simplify300.0ms (4.1%)

rewrite452.0ms (6.2%)

eval564.0ms (7.7%)

prune204.0ms (2.8%)

simplify235.0ms (3.2%)

localize118.0ms (1.6%)

series21.0ms (0.3%)

simplify413.0ms (5.6%)

rewrite272.0ms (3.7%)

eval335.0ms (4.6%)

prune141.0ms (1.9%)

regimes30.0ms (0.4%)

regimes13.0ms (0.2%)

regimes12.0ms (0.2%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes4.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch18.0ms (0.2%)

simplify22.0ms (0.3%)

soundness718.0ms (9.8%)

preprocess163.0ms (2.2%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	35	155
1	46	155
2	58	155
3	68	155
4	84	155
5	114	155
6	155	155
7	208	155
8	277	155
9	327	155
10	368	155
11	394	155
12	417	155
13	436	155
14	453	155
15	458	155
16	459	155