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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze11.0ms (0.2%)

Memory

20.2MiB live, 20.2MiB 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)

sample1.1s (19.7%)

Memory

-76.3MiB live, 1 085.3MiB allocated

Samples

831.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 237.0ms

ival-div: 97.0ms (40.9% of total)

ival-add: 82.0ms (34.6% of total)

ival-sub: 48.0ms (20.2% of total)

ival-true: 6.0ms (2.5% of total)

ival-assert: 4.0ms (1.7% of total)

Bogosity

explain88.0ms (1.6%)

Memory

-21.0MiB live, 96.6MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

25.0ms

512×

valid

Compiler

Compiled 41 to 19 computations (53.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-sub: 6.0ms (47.7% of total)

ival-div: 4.0ms (31.8% of total)

ival-add: 3.0ms (23.9% of total)

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

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

preprocess63.0ms (1.2%)

Memory

22.6MiB live, 90.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 7 to 5 computations (28.6% saved)

eval0.0ms (0%)

Memory: 0.7MiB live, 0.7MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify35.0ms (0.6%)

Memory

-13.5MiB live, 28.6MiB 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))

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)

localize17.0ms (0.3%)

Memory

11.7MiB live, 50.0MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 x y)
accuracy	0	(+.f64 x y)
accuracy	0.07259750976844201	(/.f64 (+.f64 x y) (-.f64 x y))

Samples

13.0ms

256×

valid

Compiler

Compiled 17 to 7 computations (58.8% saved)

Precisions

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

ival-div: 2.0ms (42.7% of total)

ival-sub: 1.0ms (21.4% of total)

ival-add: 1.0ms (21.4% of total)

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

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

series5.0ms (0.1%)

Memory

12.4MiB live, 12.4MiB allocated

Counts

3 → 72

Calls

Call 1

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

Inputs

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

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

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

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

Calls

6 calls:

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

simplify154.0ms (2.8%)

Memory

8.8MiB live, 240.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 63

Calls

Call 1

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

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

rewrite218.0ms (4%)

Memory

-66.9MiB live, 209.7MiB allocated

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
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eval178.0ms (3.3%)

Memory: 20.4MiB live, 56.8MiB allocated
Compiler: Compiled 11 925 to 1 303 computations (89.1% saved)

prune37.0ms (0.7%)

Memory

-7.6MiB live, 31.6MiB allocated

Pruning

10 alts after pruning (9 fresh and 1 done)

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

Accuracy

100.0%

Counts

527 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(/.f64 (+.f64 x y) (-.f64 x y))
▶	50.1%	(/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y)))
▶	99.9%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (+.f64 y x)))
	99.9%	(-.f64 (/.f64 (.f64 x (/.f64 x (-.f64 x y))) (-.f64 x y)) (/.f64 (.f64 y (/.f64 y (-.f64 x y))) (-.f64 x y)))
▶	53.1%	(.f64 (/.f64 (+.f64 y x) (.f64 (+.f64 y x) (-.f64 y x))) (neg.f64 (+.f64 y x)))
	49.2%	#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 y x) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) #s(literal 1 binary64)))
▶	50.2%	#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)))
	51.2%	#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64)))
	48.2%	#s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64))
▶	49.1%	#s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64))

Compiler

Compiled 177 to 129 computations (27.1% saved)

simplify156.0ms (2.9%)

Memory

-8.1MiB live, 36.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	25	131
0	40	124
1	70	118
2	176	114
3	516	114
4	1657	114
5	6135	114
0	8716	114

Stop Event

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

Calls

Call 1

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

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

localize65.0ms (1.2%)

Memory

-0.8MiB live, 37.9MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 (+.f64 y x) (-.f64 y x))
accuracy	0	(neg.f64 (+.f64 y x))
accuracy	0.1796875	(.f64 (/.f64 (+.f64 y x) (.f64 (+.f64 y x) (-.f64 y x))) (neg.f64 (+.f64 y x)))
accuracy	28.813109791063304	(/.f64 (+.f64 y x) (*.f64 (+.f64 y x) (-.f64 y x)))
accuracy	0	(/.f64 #s(literal 2 binary64) x)
accuracy	0.11328125	(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64))
accuracy	31.854947901758415	#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	0.07259750976844201	(/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y)))
accuracy	31.829348644836358	#s(approx (- x y) (neg.f64 y))
accuracy	32.56157562987178	#s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64))
accuracy	0	(-.f64 x y)
accuracy	0	(+.f64 y x)
accuracy	0.0390625	(/.f64 (-.f64 x y) (+.f64 y x))
accuracy	0.04296875	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (+.f64 y x)))

Samples

51.0ms

256×

valid

Compiler

Compiled 119 to 22 computations (81.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

ival-mult: 22.0ms (57.4% of total)

ival-div: 8.0ms (20.9% of total)

ival-sub: 3.0ms (7.8% of total)

ival-add: 3.0ms (7.8% of total)

ival-neg: 2.0ms (5.2% of total)

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

exact: 0.0ms (0% of total)

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

series21.0ms (0.4%)

Memory

9.3MiB live, 9.3MiB allocated

Counts

16 → 360

Calls

Call 1

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

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

Calls

6 calls:

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

simplify459.0ms (8.5%)

Memory

1.8MiB live, 157.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	409	3357
1	1312	3014
2	3920	2869
0	8257	2629

Stop Event

1×	iter limit
1×	node limit

Counts

360 → 342

Calls

Call 1

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

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

rewrite271.0ms (5%)

Memory

30.4MiB live, 225.0MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	113
0	40	102
1	155	96
2	1325	96
0	8715	96

Stop Event

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

Counts

16 → 1 520

Calls

Call 1

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

Outputs
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eval440.0ms (8.1%)

Memory: 12.0MiB live, 710.6MiB allocated
Compiler: Compiled 52 426 to 4 759 computations (90.9% saved)

prune47.0ms (0.9%)

Memory

-16.3MiB live, 180.2MiB allocated

Pruning

10 alts after pruning (5 fresh and 5 done)

	Pruned	Kept	Total
New	2 212	4	2 216
Fresh	3	1	4
Picked	1	4	5
Done	0	1	1
Total	2 216	10	2 226

Accuracy

100.0%

Counts

2 226 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(/.f64 (+.f64 x y) (-.f64 x y))
▶	88.5%	(/.f64 (+.f64 x y) #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)))
✓	50.1%	(/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y)))
✓	99.9%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (+.f64 y x)))
▶	99.9%	(+.f64 (/.f64 y (-.f64 x y)) (/.f64 x (-.f64 x y)))
▶	99.7%	(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)) (neg.f64 (+.f64 y x)))
✓	50.2%	#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)))
▶	51.2%	#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64)))
▶	48.2%	#s(approx (/ (+ x y) (- x y)) #s(approx (+ (* (/ 2 x) y) 1) #s(literal 1 binary64)))
✓	49.1%	#s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64))

Compiler

Compiled 118 to 99 computations (16.1% saved)

simplify132.0ms (2.4%)

Memory

4.5MiB live, 155.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y))
cost-diff	0	(+.f64 x y)
cost-diff	0	(/.f64 (+.f64 x y) #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)))
cost-diff	1024	(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)
cost-diff	0	(neg.f64 (+.f64 y x))
cost-diff	0	(-.f64 y x)
cost-diff	0	(/.f64 #s(literal 1 binary64) (-.f64 y x))
cost-diff	448	(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)) (neg.f64 (+.f64 y x)))
cost-diff	0	(/.f64 #s(literal -2 binary64) y)
cost-diff	0	(fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64))
cost-diff	0	#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64)))
cost-diff	0	#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 x (-.f64 x y))
cost-diff	0	(-.f64 x y)
cost-diff	0	(/.f64 y (-.f64 x y))
cost-diff	896	(+.f64 (/.f64 y (-.f64 x y)) (/.f64 x (-.f64 x y)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	155
0	49	152
1	78	152
2	142	152
3	340	144
4	498	136
5	777	136
6	1812	136
7	3750	136
8	6260	136
9	7184	136
10	7438	136
11	7496	136
12	7537	136
0	8079	134

Stop Event

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

Calls

Call 1

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

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

localize81.0ms (1.5%)

Memory

-38.5MiB live, 205.6MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0	#s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y))
accuracy	0.01171875	(-.f64 (/.f64 x y) #s(literal 1 binary64))
accuracy	0.07259750976844201	(/.f64 (+.f64 x y) #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)))
accuracy	7.11382986092227	(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)
accuracy	0	(+.f64 y x)
accuracy	0	(neg.f64 (+.f64 y x))
accuracy	0.0078125	(/.f64 #s(literal 1 binary64) (-.f64 y x))
accuracy	0.1796875	(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)) (neg.f64 (+.f64 y x)))
accuracy	0	(/.f64 #s(literal -2 binary64) y)
accuracy	0.09994125976844201	(fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64))
accuracy	31.250429154532466	#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64)))
accuracy	31.854947901758415	#s(approx (/ (+ x y) (- x y)) #s(approx (+ (* (/ 2 x) y) 1) #s(literal 1 binary64)))
accuracy	32.71738668966093	#s(approx (+ (* (/ 2 x) y) 1) #s(literal 1 binary64))
accuracy	0	(-.f64 x y)
accuracy	0.00390625	(/.f64 y (-.f64 x y))
accuracy	0.0234375	(/.f64 x (-.f64 x y))
accuracy	0.05859375	(+.f64 (/.f64 y (-.f64 x y)) (/.f64 x (-.f64 x y)))

Samples

63.0ms

256×

valid

Compiler

Compiled 123 to 28 computations (77.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 47.0ms

ival-div: 23.0ms (48.6% of total)

ival-add: 12.0ms (25.3% of total)

ival-mult: 6.0ms (12.7% of total)

ival-sub: 4.0ms (8.4% of total)

exact: 1.0ms (2.1% of total)

ival-neg: 1.0ms (2.1% of total)

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

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

series25.0ms (0.5%)

Memory

21.5MiB live, 60.4MiB allocated

Counts

19 → 444

Calls

Call 1

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

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

Calls

6 calls:

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

simplify225.0ms (4.2%)

Memory

7.4MiB live, 241.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	480	3850
1	1527	3515
2	4488	3237
0	8291	2956

Stop Event

1×	iter limit
1×	node limit

Counts

444 → 420

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

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

rewrite488.0ms (9%)

Memory

-23.6MiB live, 301.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	139
0	49	139
1	205	133
2	1733	133
0	9103	131

Stop Event

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

Counts

19 → 892

Calls

Call 1

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

Outputs
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eval175.0ms (3.2%)

Memory: 9.1MiB live, 348.7MiB allocated
Compiler: Compiled 26 607 to 2 839 computations (89.3% saved)

prune31.0ms (0.6%)

Memory

10.4MiB live, 97.9MiB allocated

Pruning

10 alts after pruning (0 fresh and 10 done)

	Pruned	Kept	Total
New	1 370	0	1 370
Fresh	0	0	0
Picked	0	5	5
Done	0	5	5
Total	1 370	10	1 380

Accuracy

100.0%

Counts

1 380 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(/.f64 (+.f64 x y) (-.f64 x y))
✓	88.5%	(/.f64 (+.f64 x y) #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)))
✓	50.1%	(/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y)))
✓	99.9%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (+.f64 y x)))
✓	99.9%	(+.f64 (/.f64 y (-.f64 x y)) (/.f64 x (-.f64 x y)))
✓	99.7%	(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)) (neg.f64 (+.f64 y x)))
✓	50.2%	#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)))
✓	51.2%	#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64)))
✓	48.2%	#s(approx (/ (+ x y) (- x y)) #s(approx (+ (* (/ 2 x) y) 1) #s(literal 1 binary64)))
✓	49.1%	#s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64))

Compiler

Compiled 203 to 113 computations (44.3% saved)

regimes16.0ms (0.3%)

Memory

-6.8MiB live, 31.6MiB allocated

Counts

14 → 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)))
(/.f64 (+.f64 x y) (-.f64 x y))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)) (neg.f64 (+.f64 y x)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (+.f64 y x)))
(+.f64 (/.f64 y (-.f64 x y)) (/.f64 x (-.f64 x y)))
(/.f64 (+.f64 x y) #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)))
#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 y x) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (+.f64 y x) (.f64 (+.f64 y x) (-.f64 y x))) (neg.f64 (+.f64 y x)))
(-.f64 (/.f64 (.f64 x (/.f64 x (-.f64 x y))) (-.f64 x y)) (/.f64 (.f64 y (/.f64 y (-.f64 x y))) (-.f64 x y)))

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

Calls

3 calls:

7.0ms	x
5.0ms	y
4.0ms	(/.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 9 to 9 computations (0% saved)

regimes10.0ms (0.2%)

Memory

25.2MiB live, 25.2MiB allocated

Counts

9 → 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)))
(/.f64 (+.f64 x y) (-.f64 x y))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)) (neg.f64 (+.f64 y x)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (+.f64 y x)))

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

Calls

3 calls:

4.0ms	y
3.0ms	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 9 to 9 computations (0% saved)

regimes11.0ms (0.2%)

Memory

-14.0MiB live, 24.8MiB allocated

Counts

8 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 9 to 9 computations (0% saved)

regimes10.0ms (0.2%)

Memory

-17.4MiB live, 21.6MiB allocated

Counts

6 → 2

Calls

Call 1

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

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:

4.0ms	x
3.0ms	y
2.0ms	(/.f64 (+.f64 x y) (-.f64 x y))

Results

Accuracy	Segments	Branch
79.6%	3	`x`
70.3%	3	`y`
97.9%	2	`(/.f64 (+.f64 x y) (-.f64 x y))`

Compiler

Compiled 9 to 9 computations (0% saved)

regimes2.0ms (0%)

Memory

7.1MiB live, 7.1MiB 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
96.9%	2	`(/.f64 (+.f64 x y) (-.f64 x y))`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes2.0ms (0%)

Memory

3.8MiB live, 3.8MiB 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
95.8%	2	`(/.f64 (+.f64 x y) (-.f64 x y))`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes2.0ms (0%)

Memory

3.5MiB live, 3.5MiB 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
95.7%	2	`(/.f64 (+.f64 x y) (-.f64 x y))`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes4.0ms (0.1%)

Memory

8.6MiB live, 8.6MiB 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
49.1%	1	`y`
49.1%	1	`x`
49.1%	1	`(/.f64 (+.f64 x y) (-.f64 x y))`

Compiler

Compiled 9 to 9 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.996365109421244	-0.2634133692593542

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.2634133692593542	0.9988888087345522

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.2634133692593542	0.9988888087345522

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch18.0ms (0.3%)

Memory

-21.9MiB live, 26.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	-0.2634133692593542	0.9988888087345522

Samples

5.0ms

240×

valid

Compiler

Compiled 70 to 160 computations (-128.6% saved)

Precisions

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

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

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

simplify25.0ms (0.5%)

Memory

-10.4MiB live, 68.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	164
1	47	164
2	50	164
3	51	164

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 (/.f64 y (-.f64 x y)) (/.f64 x (-.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x 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 -3602879701896397/18014398509481984 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 -3602879701896397/18014398509481984 binary64)) (/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y))) #s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 x y)) #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64)) #s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64)))
#s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64))

Outputs
(+.f64 (/.f64 y (-.f64 x y)) (/.f64 x (-.f64 x y)))
(+.f64 (/.f64 x (-.f64 x y)) (/.f64 y (-.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (+.f64 y x)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (+.f64 x y)))
(/.f64 (+.f64 x y) (-.f64 x y))
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 x y)) #s(literal -1/2 binary64)) #s(approx (/ (+ x y) (- x y)) (fma.f64 (/.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 -3602879701896397/18014398509481984 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 -3602879701896397/18014398509481984 binary64)) (/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y))) #s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 x y)) #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64)) #s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64)))
#s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64))

soundness622.0ms (11.5%)

Memory

22.3MiB live, 490.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	140	458
1	432	439
2	1258	395
3	5371	377
0	8476	347
0	25	113
0	40	102
1	155	96
2	1325	96
0	8715	96
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 204 to 105 computations (48.5% saved)

preprocess204.0ms (3.8%)

Memory: 11.7MiB live, 136.5MiB allocated
Compiler: Compiled 250 to 96 computations (61.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze11.0ms (0.2%)

sample1.1s (19.7%)

explain88.0ms (1.6%)

preprocess63.0ms (1.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify35.0ms (0.6%)

localize17.0ms (0.3%)

series5.0ms (0.1%)

simplify154.0ms (2.8%)

rewrite218.0ms (4%)

eval178.0ms (3.3%)

prune37.0ms (0.7%)

simplify156.0ms (2.9%)

localize65.0ms (1.2%)

series21.0ms (0.4%)

simplify459.0ms (8.5%)

rewrite271.0ms (5%)

eval440.0ms (8.1%)

prune47.0ms (0.9%)

simplify132.0ms (2.4%)

localize81.0ms (1.5%)

series25.0ms (0.5%)

simplify225.0ms (4.2%)

rewrite488.0ms (9%)

eval175.0ms (3.2%)

prune31.0ms (0.6%)

regimes16.0ms (0.3%)

regimes10.0ms (0.2%)

regimes11.0ms (0.2%)

regimes10.0ms (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 (0.3%)

simplify25.0ms (0.5%)

soundness622.0ms (11.5%)

preprocess204.0ms (3.8%)

end0.0ms (0%)

Profiling