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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze13.0ms (0.2%)

Memory

13.9MiB live, 13.9MiB 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 11 to 9 computations (18.2% saved)

sample1.4s (18.5%)

Memory

7.9MiB live, 939.7MiB allocated

Samples

925.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 357.0ms

ival-mult: 174.0ms (48.7% of total)

ival-div: 126.0ms (35.3% of total)

ival-sub: 42.0ms (11.8% of total)

ival-true: 6.0ms (1.7% of total)

exact: 5.0ms (1.4% of total)

ival-assert: 3.0ms (0.8% of total)

Bogosity

explain277.0ms (3.7%)

Memory

-1.4MiB live, 161.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
62	-	3	(2.181338532590639e-221 -1.0526960516202708e-99)	`(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))`
0	-	0	-	`(*.f64 x #s(literal 2 binary64))`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`y`
0	-	0	-	`(-.f64 x y)`
0	-	0	-	`(.f64 (.f64 x #s(literal 2 binary64)) y)`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))`	o/n	32	0
↳	`(.f64 (.f64 x #s(literal 2 binary64)) y)`	overflow	32
`/.f64`	`(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))`	u/n	27	0
↳	`(.f64 (.f64 x #s(literal 2 binary64)) y)`	underflow	27

Confusion

	Predicted +	Predicted -
+	59	3
-	0	194

Precision

1.0

Recall

0.9516129032258065

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	59	0	3
-	0	0	194

Precision?

1.0

Recall?

0.9516129032258065

Freqs

test

number	freq
0	197
1	59

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

176.0ms

512×

valid

Compiler

Compiled 82 to 32 computations (61% saved)

Precisions

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

ival-mult: 7.0ms (47.9% of total)

ival-div: 4.0ms (27.4% of total)

ival-sub: 3.0ms (20.5% of total)

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

exact: 0.0ms (0% of total)

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

preprocess175.0ms (2.3%)

Memory

-0.3MiB live, 61.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	53
1	62	45
2	212	45
3	775	45
4	2699	45
5	3378	45
6	3564	45
7	3578	45
8	3593	45
9	3598	45
10	3598	45
11	3802	45
12	3898	45
13	3898	45
14	4002	45
15	4621	45
0	7	9
0	11	9
1	19	9
2	40	9
3	64	9
4	84	9
5	148	9
6	310	9
7	682	9
8	1532	9
9	2375	9
10	2393	9
11	2407	9
12	2419	9
13	2419	9
0	2419	9

Stop Event

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

Calls

Call 1

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

Outputs
(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))
(.f64 (.f64 #s(literal -2 binary64) x) (/.f64 y (-.f64 y x)))

Compiler

Compiled 9 to 7 computations (22.2% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	77.7%	(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify54.0ms (0.7%)

Memory

-0.9MiB live, 34.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(-.f64 x y)
cost-diff	0	(*.f64 x #s(literal 2 binary64))
cost-diff	0	(.f64 (.f64 x #s(literal 2 binary64)) y)
cost-diff	0	(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	23
0	11	23
1	19	23
2	40	23
3	64	23
4	84	23
5	148	23
6	310	23
7	682	23
8	1532	23
9	2375	23
10	2393	23
11	2407	23
12	2419	23
13	2419	23
0	2419	23

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

Outputs
(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))
(.f64 (.f64 #s(literal -2 binary64) x) (/.f64 y (-.f64 y x)))
(.f64 (.f64 x #s(literal 2 binary64)) y)
(.f64 y (.f64 #s(literal 2 binary64) x))
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
x
#s(literal 2 binary64)
y
(-.f64 x y)

localize22.0ms (0.3%)

Memory

3.4MiB live, 42.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 x y)
accuracy	0	(.f64 (.f64 x #s(literal 2 binary64)) y)
accuracy	0	(*.f64 x #s(literal 2 binary64))
accuracy	14.249656153897481	(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))

Samples

17.0ms

256×

valid

Compiler

Compiled 48 to 16 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-div: 4.0ms (39.4% of total)

ival-mult: 4.0ms (39.4% of total)

ival-sub: 1.0ms (9.9% of total)

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

exact: 0.0ms (0% of total)

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

series9.0ms (0.1%)

Memory

11.2MiB live, 11.2MiB allocated

Counts

4 → 84

Calls

Call 1

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

Outputs
#s(alt (* 2 y) (taylor 0 y) (#s(alt (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) (patch (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 2 (* 2 (/ y x)))) (taylor 0 y) (#s(alt (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) (patch (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 2 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))) (taylor 0 y) (#s(alt (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) (patch (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 2 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))) (taylor 0 y) (#s(alt (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) (patch (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor 0 y) (#s(alt (.f64 (.f64 x #s(literal 2 binary64)) y) (patch (.f64 (.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor 0 y) (#s(alt (.f64 (.f64 x #s(literal 2 binary64)) y) (patch (.f64 (.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor 0 y) (#s(alt (.f64 (.f64 x #s(literal 2 binary64)) y) (patch (.f64 (.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor 0 y) (#s(alt (.f64 (.f64 x #s(literal 2 binary64)) y) (patch (.f64 (.f64 x #s(literal 2 binary64)) 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 (* -2 x) (taylor inf y) (#s(alt (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) (patch (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 x) (* -2 (/ (pow x 2) y))) (taylor inf y) (#s(alt (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) (patch (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (* -2 (/ (pow x 3) (pow y 2))))) (taylor inf y) (#s(alt (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) (patch (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (+ (* -2 (/ (pow x 3) (pow y 2))) (* -2 (/ (pow x 4) (pow y 3)))))) (taylor inf y) (#s(alt (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) (patch (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor inf y) (#s(alt (.f64 (.f64 x #s(literal 2 binary64)) y) (patch (.f64 (.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor inf y) (#s(alt (.f64 (.f64 x #s(literal 2 binary64)) y) (patch (.f64 (.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor inf y) (#s(alt (.f64 (.f64 x #s(literal 2 binary64)) y) (patch (.f64 (.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor inf y) (#s(alt (.f64 (.f64 x #s(literal 2 binary64)) y) (patch (.f64 (.f64 x #s(literal 2 binary64)) 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 (* -2 x) (taylor -inf y) (#s(alt (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) (patch (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 x) (* -2 (/ (pow x 2) y))) (taylor -inf y) (#s(alt (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) (patch (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 x) (* -1 (/ (+ (* 2 (/ (pow x 3) y)) (* 2 (pow x 2))) y))) (taylor -inf y) (#s(alt (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) (patch (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 x) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow x 4) y)) (* -2 (pow x 3))) y)) (* 2 (pow x 2))) y))) (taylor -inf y) (#s(alt (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) (patch (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor -inf y) (#s(alt (.f64 (.f64 x #s(literal 2 binary64)) y) (patch (.f64 (.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor -inf y) (#s(alt (.f64 (.f64 x #s(literal 2 binary64)) y) (patch (.f64 (.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor -inf y) (#s(alt (.f64 (.f64 x #s(literal 2 binary64)) y) (patch (.f64 (.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor -inf y) (#s(alt (.f64 (.f64 x #s(literal 2 binary64)) y) (patch (.f64 (.f64 x #s(literal 2 binary64)) 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 (* -2 x) (taylor 0 x) (#s(alt (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) (patch (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* -2 (/ x y)) 2)) (taylor 0 x) (#s(alt (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) (patch (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 2)) (taylor 0 x) (#s(alt (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) (patch (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 2)) (taylor 0 x) (#s(alt (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) (patch (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor 0 x) (#s(alt (.f64 (.f64 x #s(literal 2 binary64)) y) (patch (.f64 (.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor 0 x) (#s(alt (.f64 (.f64 x #s(literal 2 binary64)) y) (patch (.f64 (.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor 0 x) (#s(alt (.f64 (.f64 x #s(literal 2 binary64)) y) (patch (.f64 (.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor 0 x) (#s(alt (.f64 (.f64 x #s(literal 2 binary64)) y) (patch (.f64 (.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 2 binary64)) (patch (.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 2 binary64)) (patch (.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 2 binary64)) (patch (.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 2 binary64)) (patch (.f64 x #s(literal 2 binary64)) #<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 (* 2 y) (taylor inf x) (#s(alt (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) (patch (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 y) (* 2 (/ (pow y 2) x))) (taylor inf x) (#s(alt (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) (patch (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (* 2 (/ (pow y 3) (pow x 2))))) (taylor inf x) (#s(alt (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) (patch (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (+ (* 2 (/ (pow y 3) (pow x 2))) (* 2 (/ (pow y 4) (pow x 3)))))) (taylor inf x) (#s(alt (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) (patch (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor inf x) (#s(alt (.f64 (.f64 x #s(literal 2 binary64)) y) (patch (.f64 (.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor inf x) (#s(alt (.f64 (.f64 x #s(literal 2 binary64)) y) (patch (.f64 (.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor inf x) (#s(alt (.f64 (.f64 x #s(literal 2 binary64)) y) (patch (.f64 (.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor inf x) (#s(alt (.f64 (.f64 x #s(literal 2 binary64)) y) (patch (.f64 (.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (.f64 x #s(literal 2 binary64)) (patch (.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (.f64 x #s(literal 2 binary64)) (patch (.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (.f64 x #s(literal 2 binary64)) (patch (.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (.f64 x #s(literal 2 binary64)) (patch (.f64 x #s(literal 2 binary64)) #<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 (* 2 y) (taylor -inf x) (#s(alt (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) (patch (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 y) (* 2 (/ (pow y 2) x))) (taylor -inf x) (#s(alt (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) (patch (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* -2 (/ (pow y 3) x)) (* -2 (pow y 2))) x)) (* 2 y)) (taylor -inf x) (#s(alt (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) (patch (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* -2 (pow y 2)) (* -1 (/ (+ (* 2 (/ (pow y 4) x)) (* 2 (pow y 3))) x))) x)) (* 2 y)) (taylor -inf x) (#s(alt (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) (patch (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor -inf x) (#s(alt (.f64 (.f64 x #s(literal 2 binary64)) y) (patch (.f64 (.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor -inf x) (#s(alt (.f64 (.f64 x #s(literal 2 binary64)) y) (patch (.f64 (.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor -inf x) (#s(alt (.f64 (.f64 x #s(literal 2 binary64)) y) (patch (.f64 (.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor -inf x) (#s(alt (.f64 (.f64 x #s(literal 2 binary64)) y) (patch (.f64 (.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 2 binary64)) (patch (.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 2 binary64)) (patch (.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 2 binary64)) (patch (.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 2 binary64)) (patch (.f64 x #s(literal 2 binary64)) #<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	x	@	0	((/ (* (* x 2) y) (- x y)) (* (* x 2) y) (* x 2) (- x y))
1.0ms	x	@	inf	((/ (* (* x 2) y) (- x y)) (* (* x 2) y) (* x 2) (- x y))
1.0ms	y	@	inf	((/ (* (* x 2) y) (- x y)) (* (* x 2) y) (* x 2) (- x y))
1.0ms	x	@	-inf	((/ (* (* x 2) y) (- x y)) (* (* x 2) y) (* x 2) (- x y))
1.0ms	y	@	0	((/ (* (* x 2) y) (- x y)) (* (* x 2) y) (* x 2) (- x y))

simplify210.0ms (2.8%)

Memory

-13.5MiB live, 137.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	136	557
1	378	543
2	1014	523
3	3096	517
4	6425	517
0	8149	486

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 81

Calls

Call 1

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

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

rewrite242.0ms (3.2%)

Memory

22.8MiB live, 262.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	20
0	11	20
1	40	20
2	250	20
3	2754	20
0	9208	20

Stop Event

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

Counts

4 → 405

Calls

Call 1

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

Outputs
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eval69.0ms (0.9%)

Memory: -23.6MiB live, 157.2MiB allocated
Compiler: Compiled 11 154 to 1 335 computations (88% saved)

prune39.0ms (0.5%)

Memory

-20.3MiB live, 55.4MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	478	8	486
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	479	8	487

Accuracy

100.0%

Counts

487 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	75.4%	(fma.f64 (.f64 (/.f64 #s(literal 2 binary64) (+.f64 y x)) (.f64 (/.f64 y (-.f64 x y)) x)) y (.f64 (.f64 (/.f64 #s(literal 2 binary64) (+.f64 y x)) (*.f64 (/.f64 y (-.f64 x y)) x)) x))
▶	89.1%	(.f64 (/.f64 y (-.f64 x y)) (.f64 #s(literal 2 binary64) x))
▶	77.5%	(.f64 (.f64 y x) (/.f64 #s(literal -2 binary64) (-.f64 y x)))
	55.2%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x) #s(literal -2 binary64)))
	54.6%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64)))
▶	45.7%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y))
	46.3%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 y #s(literal 2 binary64)))
▶	54.8%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x))

Compiler

Compiled 176 to 114 computations (35.2% saved)

simplify407.0ms (5.5%)

Memory

16.0MiB live, 281.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 y x)
cost-diff	0	(/.f64 #s(literal 2 binary64) (+.f64 y x))
cost-diff	0	(.f64 (/.f64 #s(literal 2 binary64) (+.f64 y x)) (.f64 (/.f64 y (-.f64 x y)) x))
cost-diff	4032	(fma.f64 (.f64 (/.f64 #s(literal 2 binary64) (+.f64 y x)) (.f64 (/.f64 y (-.f64 x y)) x)) y (.f64 (.f64 (/.f64 #s(literal 2 binary64) (+.f64 y x)) (*.f64 (/.f64 y (-.f64 x y)) x)) x))
cost-diff	0	(-.f64 y x)
cost-diff	0	(/.f64 #s(literal -2 binary64) (-.f64 y x))
cost-diff	0	(*.f64 y x)
cost-diff	0	(.f64 (.f64 y x) (/.f64 #s(literal -2 binary64) (-.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 2 binary64))
cost-diff	0	(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)
cost-diff	0	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y))
cost-diff	0	(*.f64 #s(literal -2 binary64) x)
cost-diff	0	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x))
cost-diff	0	(*.f64 #s(literal 2 binary64) x)
cost-diff	0	(-.f64 x y)
cost-diff	0	(/.f64 y (-.f64 x y))
cost-diff	0	(.f64 (/.f64 y (-.f64 x y)) (.f64 #s(literal 2 binary64) x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	186
0	48	165
1	89	165
2	206	165
3	527	165
4	1191	165
5	3217	165
6	7436	165
0	8350	165

Stop Event

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

Calls

Call 1

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

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

localize189.0ms (2.5%)

Memory

11.8MiB live, 157.2MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.21484375	(.f64 (/.f64 #s(literal 2 binary64) (+.f64 y x)) (.f64 (/.f64 y (-.f64 x y)) x))
accuracy	6.997697870081412	(*.f64 (/.f64 y (-.f64 x y)) x)
accuracy	7.048489645449743	(.f64 (.f64 (/.f64 #s(literal 2 binary64) (+.f64 y x)) (*.f64 (/.f64 y (-.f64 x y)) x)) x)
accuracy	8.615364225292511	(fma.f64 (.f64 (/.f64 #s(literal 2 binary64) (+.f64 y x)) (.f64 (/.f64 y (-.f64 x y)) x)) y (.f64 (.f64 (/.f64 #s(literal 2 binary64) (+.f64 y x)) (*.f64 (/.f64 y (-.f64 x y)) x)) x))
accuracy	0	(-.f64 y x)
accuracy	0	(*.f64 y x)
accuracy	0.0078125	(/.f64 #s(literal -2 binary64) (-.f64 y x))
accuracy	14.389439460189948	(.f64 (.f64 y x) (/.f64 #s(literal -2 binary64) (-.f64 y x)))
accuracy	0	(/.f64 #s(literal 2 binary64) x)
accuracy	0.09765625	(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)
accuracy	0.12109375	(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64))
accuracy	34.76960707519327	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y))
accuracy	0	(*.f64 #s(literal -2 binary64) x)
accuracy	28.896434218944307	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x))
accuracy	0	(-.f64 x y)
accuracy	0	(*.f64 #s(literal 2 binary64) x)
accuracy	0.015625	(/.f64 y (-.f64 x y))
accuracy	6.999633215321132	(.f64 (/.f64 y (-.f64 x y)) (.f64 #s(literal 2 binary64) x))

Samples

169.0ms

256×

valid

Compiler

Compiled 346 to 53 computations (84.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 55.0ms

ival-mult: 39.0ms (70.7% of total)

ival-div: 9.0ms (16.3% of total)

ival-add: 4.0ms (7.3% of total)

ival-sub: 3.0ms (5.4% of total)

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

exact: 0.0ms (0% of total)

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

series92.0ms (1.2%)

Memory

12.9MiB live, 87.2MiB allocated

Counts

20 → 444

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
19.0ms	x	@	0	((* (/ y (- x y)) (* 2 x)) (/ y (- x y)) (- x y) (* 2 x) (/ (* (* x 2) y) (- x y)) (* -2 x) (/ (* (* x 2) y) (- x y)) (* (+ (* (/ 2 x) y) 2) y) (+ (* (/ 2 x) y) 2) (/ 2 x) (* (* y x) (/ -2 (- y x))) (* y x) (/ -2 (- y x)) (- y x) (+ (* (* (/ 2 (+ y x)) (* (/ y (- x y)) x)) y) (* (* (/ 2 (+ y x)) (* (/ y (- x y)) x)) x)) (* (/ 2 (+ y x)) (* (/ y (- x y)) x)) (/ 2 (+ y x)) (+ y x) (* (* (/ 2 (+ y x)) (* (/ y (- x y)) x)) x) (* (/ y (- x y)) x))
4.0ms	y	@	0	((* (/ y (- x y)) (* 2 x)) (/ y (- x y)) (- x y) (* 2 x) (/ (* (* x 2) y) (- x y)) (* -2 x) (/ (* (* x 2) y) (- x y)) (* (+ (* (/ 2 x) y) 2) y) (+ (* (/ 2 x) y) 2) (/ 2 x) (* (* y x) (/ -2 (- y x))) (* y x) (/ -2 (- y x)) (- y x) (+ (* (* (/ 2 (+ y x)) (* (/ y (- x y)) x)) y) (* (* (/ 2 (+ y x)) (* (/ y (- x y)) x)) x)) (* (/ 2 (+ y x)) (* (/ y (- x y)) x)) (/ 2 (+ y x)) (+ y x) (* (* (/ 2 (+ y x)) (* (/ y (- x y)) x)) x) (* (/ y (- x y)) x))
4.0ms	y	@	inf	((* (/ y (- x y)) (* 2 x)) (/ y (- x y)) (- x y) (* 2 x) (/ (* (* x 2) y) (- x y)) (* -2 x) (/ (* (* x 2) y) (- x y)) (* (+ (* (/ 2 x) y) 2) y) (+ (* (/ 2 x) y) 2) (/ 2 x) (* (* y x) (/ -2 (- y x))) (* y x) (/ -2 (- y x)) (- y x) (+ (* (* (/ 2 (+ y x)) (* (/ y (- x y)) x)) y) (* (* (/ 2 (+ y x)) (* (/ y (- x y)) x)) x)) (* (/ 2 (+ y x)) (* (/ y (- x y)) x)) (/ 2 (+ y x)) (+ y x) (* (* (/ 2 (+ y x)) (* (/ y (- x y)) x)) x) (* (/ y (- x y)) x))
4.0ms	x	@	-inf	((* (/ y (- x y)) (* 2 x)) (/ y (- x y)) (- x y) (* 2 x) (/ (* (* x 2) y) (- x y)) (* -2 x) (/ (* (* x 2) y) (- x y)) (* (+ (* (/ 2 x) y) 2) y) (+ (* (/ 2 x) y) 2) (/ 2 x) (* (* y x) (/ -2 (- y x))) (* y x) (/ -2 (- y x)) (- y x) (+ (* (* (/ 2 (+ y x)) (* (/ y (- x y)) x)) y) (* (* (/ 2 (+ y x)) (* (/ y (- x y)) x)) x)) (* (/ 2 (+ y x)) (* (/ y (- x y)) x)) (/ 2 (+ y x)) (+ y x) (* (* (/ 2 (+ y x)) (* (/ y (- x y)) x)) x) (* (/ y (- x y)) x))
4.0ms	x	@	inf	((* (/ y (- x y)) (* 2 x)) (/ y (- x y)) (- x y) (* 2 x) (/ (* (* x 2) y) (- x y)) (* -2 x) (/ (* (* x 2) y) (- x y)) (* (+ (* (/ 2 x) y) 2) y) (+ (* (/ 2 x) y) 2) (/ 2 x) (* (* y x) (/ -2 (- y x))) (* y x) (/ -2 (- y x)) (- y x) (+ (* (* (/ 2 (+ y x)) (* (/ y (- x y)) x)) y) (* (* (/ 2 (+ y x)) (* (/ y (- x y)) x)) x)) (* (/ 2 (+ y x)) (* (/ y (- x y)) x)) (/ 2 (+ y x)) (+ y x) (* (* (/ 2 (+ y x)) (* (/ y (- x y)) x)) x) (* (/ y (- x y)) x))

simplify424.0ms (5.7%)

Memory

-21.9MiB live, 239.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	752	5601
1	2362	4605
2	7856	4584
0	8233	4261

Stop Event

1×	iter limit
1×	node limit

Counts

444 → 429

Calls

Call 1

Inputs
(* 2 y)
(* y (+ 2 (* 2 (/ y x))))
(* y (+ 2 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))))
(* y (+ 2 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))))
(/ y x)
(* y (+ (/ 1 x) (/ y (pow x 2))))
(* y (+ (* y (+ (/ 1 (pow x 2)) (/ y (pow x 3)))) (/ 1 x)))
(* y (+ (* y (+ (* y (+ (/ 1 (pow x 3)) (/ y (pow x 4)))) (/ 1 (pow x 2)))) (/ 1 x)))
x
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* -1 y))
(* 2 y)
(* y (+ 2 (* 2 (/ y x))))
(* y (+ 2 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))))
(* y (+ 2 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))))
(* 2 y)
(* y (+ 2 (* 2 (/ y x))))
(* y (+ 2 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))))
(* y (+ 2 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))))
(* 2 y)
(* y (+ 2 (* 2 (/ y x))))
(* y (+ 2 (* 2 (/ y x))))
(* y (+ 2 (* 2 (/ y x))))
2
(+ 2 (* 2 (/ y x)))
(+ 2 (* 2 (/ y x)))
(+ 2 (* 2 (/ y x)))
(* 2 y)
(* y (+ 2 (* 2 (/ y x))))
(* y (+ 2 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))))
(* y (+ 2 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))))
(* x y)
(* x y)
(* x y)
(* x y)
(/ 2 x)
(+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))
(+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))
(+ (* y (+ (* y (+ (* 2 (/ y (pow x 4))) (* 2 (/ 1 (pow x 3))))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))
(* -1 x)
(- y x)
(- y x)
(- y x)
(* 2 y)
(* y (+ 2 (* 2 (/ y x))))
(* y (+ 2 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))))
(* y (+ 2 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))))
(* 2 (/ y x))
(* y (+ (* 2 (/ (pow y 2) (pow x 3))) (* 2 (/ 1 x))))
(* y (+ (* (pow y 2) (+ (* 2 (/ (pow y 2) (pow x 5))) (* 2 (/ 1 (pow x 3))))) (* 2 (/ 1 x))))
(* y (+ (* (pow y 2) (+ (* (pow y 2) (+ (* 2 (/ (pow y 2) (pow x 7))) (* 2 (/ 1 (pow x 5))))) (* 2 (/ 1 (pow x 3))))) (* 2 (/ 1 x))))
(/ 2 x)
(+ (* -2 (/ y (pow x 2))) (* 2 (/ 1 x)))
(+ (* y (- (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))
(+ (* y (- (* y (+ (* -2 (/ y (pow x 4))) (* 2 (/ 1 (pow x 3))))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))
x
(+ x y)
(+ x y)
(+ x y)
(* 2 y)
(* y (+ 2 (* 2 (/ (pow y 2) (pow x 2)))))
(* y (+ 2 (* (pow y 2) (+ (* 2 (/ (pow y 2) (pow x 4))) (* 2 (/ 1 (pow x 2)))))))
(* y (+ 2 (* (pow y 2) (+ (* (pow y 2) (+ (* 2 (/ (pow y 2) (pow x 6))) (* 2 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2)))))))
y
(* y (+ 1 (/ y x)))
(* y (+ 1 (* y (+ (/ 1 x) (/ y (pow x 2))))))
(* y (+ 1 (* y (+ (* y (+ (/ 1 (pow x 2)) (/ y (pow x 3)))) (/ 1 x)))))
(* -2 x)
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (* -2 (/ (pow x 3) (pow y 2)))))
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (+ (* -2 (/ (pow x 3) (pow y 2))) (* -2 (/ (pow x 4) (pow y 3))))))
-1
(- (* -1 (/ x y)) 1)
(- (* -1 (/ (pow x 2) (pow y 2))) (+ 1 (/ x y)))
(- (* -1 (/ (pow x 3) (pow y 3))) (+ 1 (+ (/ x y) (/ (pow x 2) (pow y 2)))))
(* -1 y)
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* -2 x)
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (* -2 (/ (pow x 3) (pow y 2)))))
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (+ (* -2 (/ (pow x 3) (pow y 2))) (* -2 (/ (pow x 4) (pow y 3))))))
(* -2 x)
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (* -2 (/ (pow x 3) (pow y 2)))))
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (+ (* -2 (/ (pow x 3) (pow y 2))) (* -2 (/ (pow x 4) (pow y 3))))))
(* 2 (/ (pow y 2) x))
(* (pow y 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))
(* (pow y 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))
(* (pow y 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))
(* 2 (/ y x))
(* y (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))
(* y (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))
(* y (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))
(* -2 x)
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (* -2 (/ (pow x 3) (pow y 2)))))
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (+ (* -2 (/ (pow x 3) (pow y 2))) (* -2 (/ (pow x 4) (pow y 3))))))
(* x y)
(* x y)
(* x y)
(* x y)
(/ -2 y)
(/ (- (* -2 (/ x y)) 2) y)
(/ (- (* -2 (/ (pow x 2) (pow y 2))) (+ 2 (* 2 (/ x y)))) y)
(/ (- (* -2 (/ (pow x 3) (pow y 3))) (+ 2 (+ (* 2 (/ x y)) (* 2 (/ (pow x 2) (pow y 2)))))) y)
y
(* y (+ 1 (* -1 (/ x y))))
(* y (+ 1 (* -1 (/ x y))))
(* y (+ 1 (* -1 (/ x y))))
(* -2 x)
(+ (* -2 x) (+ (* -2 (/ (* x (+ x (* -1 x))) y)) (* -2 (/ (pow x 2) y))))
(+ (* -2 x) (+ (* -2 (/ (* x (+ x (* -1 x))) y)) (+ (* -2 (/ (* (pow x 2) (+ x (* -1 x))) (pow y 2))) (+ (* -2 (/ (+ (* x (pow (+ x (* -1 x)) 2)) (pow x 3)) (pow y 2))) (* -2 (/ (pow x 2) y))))))
(+ (* -2 x) (+ (* -2 (/ (* x (+ x (* -1 x))) y)) (+ (* -2 (/ (* (pow x 2) (+ x (* -1 x))) (pow y 2))) (+ (* -2 (/ (+ (* x (pow (+ x (* -1 x)) 2)) (pow x 3)) (pow y 2))) (+ (* -2 (/ (+ (* (+ x (* -1 x)) (+ (* x (pow (+ x (* -1 x)) 2)) (pow x 3))) (* (pow x 3) (+ x (* -1 x)))) (pow y 3))) (+ (* -2 (/ (+ (* (pow x 2) (pow (+ x (* -1 x)) 2)) (pow x 4)) (pow y 3))) (* -2 (/ (pow x 2) y))))))))
(* -2 (/ x y))
(/ (+ (* -2 x) (* -2 (/ (* x (+ x (* -1 x))) y))) y)
(/ (+ (* -2 x) (+ (* -2 (/ (* x (+ x (* -1 x))) y)) (* -2 (/ (+ (* x (pow (+ x (* -1 x)) 2)) (pow x 3)) (pow y 2))))) y)
(/ (+ (* -2 x) (+ (* -2 (/ (* x (+ x (* -1 x))) y)) (+ (* -2 (/ (+ (* x (pow (+ x (* -1 x)) 2)) (pow x 3)) (pow y 2))) (* -2 (/ (+ (* (+ x (* -1 x)) (+ (* x (pow (+ x (* -1 x)) 2)) (pow x 3))) (* (pow x 3) (+ x (* -1 x)))) (pow y 3)))))) y)
(/ 2 y)
(/ (+ 2 (* -2 (/ x y))) y)
(/ (- (+ 2 (* 2 (/ (pow x 2) (pow y 2)))) (* 2 (/ x y))) y)
(/ (- (+ 2 (* -2 (/ (pow x 3) (pow y 3)))) (+ (* -2 (/ (pow x 2) (pow y 2))) (* 2 (/ x y)))) y)
y
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(* -2 (/ (pow x 2) y))
(/ (+ (* -2 (/ (* (pow x 2) (+ x (* -1 x))) y)) (* -2 (pow x 2))) y)
(/ (+ (* -2 (/ (* (pow x 2) (+ x (* -1 x))) y)) (+ (* -2 (/ (+ (* (pow x 2) (pow (+ x (* -1 x)) 2)) (pow x 4)) (pow y 2))) (* -2 (pow x 2)))) y)
(/ (+ (* -2 (/ (* (pow x 2) (+ x (* -1 x))) y)) (+ (* -2 (/ (+ (* (+ x (* -1 x)) (+ (* (pow x 2) (pow (+ x (* -1 x)) 2)) (pow x 4))) (* (pow x 4) (+ x (* -1 x)))) (pow y 3))) (+ (* -2 (/ (+ (* (pow x 2) (pow (+ x (* -1 x)) 2)) (pow x 4)) (pow y 2))) (* -2 (pow x 2))))) y)
(* -1 x)
(+ (* -1 x) (* -1 (/ (pow x 2) y)))
(- (+ (* -1 x) (* -1 (/ (pow x 3) (pow y 2)))) (/ (pow x 2) y))
(- (+ (* -1 x) (* -1 (/ (pow x 4) (pow y 3)))) (+ (/ (pow x 2) y) (/ (pow x 3) (pow y 2))))
(* -2 x)
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(+ (* -2 x) (* -1 (/ (+ (* 2 (/ (pow x 3) y)) (* 2 (pow x 2))) y)))
(+ (* -2 x) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow x 4) y)) (* -2 (pow x 3))) y)) (* 2 (pow x 2))) y)))
-1
(- (* -1 (/ x y)) 1)
(- (* -1 (/ (- (/ (pow x 2) y) (* -1 x)) y)) 1)
(- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) y)) (pow x 2)) y)) (* -1 x)) y)) 1)
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -2 x)
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(+ (* -2 x) (* -1 (/ (+ (* 2 (/ (pow x 3) y)) (* 2 (pow x 2))) y)))
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Outputs
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(*.f64 (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64)) y)
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(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
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(* -1 (* x (+ 1 (* -1 (/ y x)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (neg.f64 x))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
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(+ (* -1 (/ (+ (* -2 (pow y 2)) (+ (* -1 (/ (+ (* -2 (* (pow y 2) (+ y (* -1 y)))) (* 2 (+ (* y (pow (+ y (* -1 y)) 2)) (pow y 3)))) x)) (* 2 (* y (+ y (* -1 y)))))) x)) (* 2 y))
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x
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y
(+ y (/ (pow y 2) x))
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rewrite311.0ms (4.2%)

Memory

-10.5MiB live, 270.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	164
0	48	143
1	170	143
2	1183	143
0	8454	143

Stop Event

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

Counts

20 → 1 520

Calls

Call 1

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

Outputs
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eval859.0ms (11.5%)

Memory: 43.4MiB live, 832.5MiB allocated
Compiler: Compiled 87 811 to 5 180 computations (94.1% saved)

prune61.0ms (0.8%)

Memory

-17.1MiB live, 178.7MiB allocated

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	2 640	5	2 645
Fresh	2	1	3
Picked	2	3	5
Done	0	0	0
Total	2 644	9	2 653

Accuracy

100.0%

Counts

2 653 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	89.1%	(.f64 (/.f64 y (-.f64 x y)) (.f64 #s(literal 2 binary64) x))
▶	86.3%	(.f64 (.f64 (/.f64 #s(literal -2 binary64) (-.f64 y x)) x) y)
▶	36.1%	(.f64 (.f64 y x) #s(approx (/ -2 (- y x)) (/.f64 #s(literal 2 binary64) x)))
▶	43.7%	(.f64 (.f64 y x) #s(approx (/ -2 (- y x)) (/.f64 #s(literal -2 binary64) y)))
▶	35.3%	(.f64 #s(approx (/ y (- x y)) (/.f64 y x)) (.f64 #s(literal 2 binary64) x))
	54.6%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64)))
✓	45.7%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y))
▶	46.3%	#s(approx (/ (* (* x 2) y) (- x y)) (.f64 #s(approx (+ ( (/ 2 x) y) 2) #s(literal 2 binary64)) y))
✓	54.8%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x))

Compiler

Compiled 116 to 101 computations (12.9% saved)

simplify160.0ms (2.1%)

Memory

-2.7MiB live, 73.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	163
0	46	163
1	76	163
2	137	163
3	186	163
4	231	163
5	496	163
6	1126	163
7	2422	163
8	3189	163
9	3388	163
10	3449	163
11	3476	163
12	3499	163
13	3501	163
14	3621	163
15	3785	163
16	3785	163
17	3929	163
18	4846	163
0	4846	160

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize79.0ms (1.1%)

Memory

26.1MiB live, 142.9MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 #s(literal 2 binary64) x)
accuracy	0	(*.f64 y x)
accuracy	14.389439460189948	(.f64 (.f64 y x) #s(approx (/ -2 (- y x)) (/.f64 #s(literal 2 binary64) x)))
accuracy	34.40720200197603	#s(approx (/ -2 (- y x)) (/.f64 #s(literal 2 binary64) x))
accuracy	0	(/.f64 #s(literal -2 binary64) y)
accuracy	0	(*.f64 y x)
accuracy	14.389439460189948	(.f64 (.f64 y x) #s(approx (/ -2 (- y x)) (/.f64 #s(literal -2 binary64) y)))
accuracy	28.89913159273713	#s(approx (/ -2 (- y x)) (/.f64 #s(literal -2 binary64) y))
accuracy	0	(/.f64 y x)
accuracy	0	(*.f64 #s(literal 2 binary64) x)
accuracy	6.999633215321132	(.f64 #s(approx (/ y (- x y)) (/.f64 y x)) (.f64 #s(literal 2 binary64) x))
accuracy	34.49989411552422	#s(approx (/ y (- x y)) (/.f64 y x))
accuracy	0.09765625	(.f64 #s(approx (+ ( (/ 2 x) y) 2) #s(literal 2 binary64)) y)
accuracy	34.41095203467849	#s(approx (+ (* (/ 2 x) y) 2) #s(literal 2 binary64))
accuracy	34.76960707519327	#s(approx (/ (* (* x 2) y) (- x y)) (.f64 #s(approx (+ ( (/ 2 x) y) 2) #s(literal 2 binary64)) y))
accuracy	0	(-.f64 y x)
accuracy	0.0078125	(/.f64 #s(literal -2 binary64) (-.f64 y x))
accuracy	0.19140625	(*.f64 (/.f64 #s(literal -2 binary64) (-.f64 y x)) x)
accuracy	8.619270475292511	(.f64 (.f64 (/.f64 #s(literal -2 binary64) (-.f64 y x)) x) y)

Samples

59.0ms

256×

valid

Compiler

Compiled 228 to 47 computations (79.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 44.0ms

ival-mult: 21.0ms (48.2% of total)

ival-div: 18.0ms (41.3% of total)

ival-sub: 3.0ms (6.9% of total)

ival-add: 1.0ms (2.3% of total)

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

exact: 0.0ms (0% of total)

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

series39.0ms (0.5%)

Memory

-10.7MiB live, 27.5MiB allocated

Counts

18 → 396

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
21.0ms	x	@	0	((* (* (/ -2 (- y x)) x) y) (* (/ -2 (- y x)) x) (/ -2 (- y x)) (- y x) (/ (* (* x 2) y) (- x y)) (* (+ (* (/ 2 x) y) 2) y) (+ (* (/ 2 x) y) 2) (* (/ y (- x y)) (* 2 x)) (/ y (- x y)) (/ y x) (* 2 x) (* (* y x) (/ -2 (- y x))) (* y x) (/ -2 (- y x)) (/ -2 y) (* (* y x) (/ -2 (- y x))) (/ -2 (- y x)) (/ 2 x))
2.0ms	y	@	-inf	((* (* (/ -2 (- y x)) x) y) (* (/ -2 (- y x)) x) (/ -2 (- y x)) (- y x) (/ (* (* x 2) y) (- x y)) (* (+ (* (/ 2 x) y) 2) y) (+ (* (/ 2 x) y) 2) (* (/ y (- x y)) (* 2 x)) (/ y (- x y)) (/ y x) (* 2 x) (* (* y x) (/ -2 (- y x))) (* y x) (/ -2 (- y x)) (/ -2 y) (* (* y x) (/ -2 (- y x))) (/ -2 (- y x)) (/ 2 x))
1.0ms	x	@	-inf	((* (* (/ -2 (- y x)) x) y) (* (/ -2 (- y x)) x) (/ -2 (- y x)) (- y x) (/ (* (* x 2) y) (- x y)) (* (+ (* (/ 2 x) y) 2) y) (+ (* (/ 2 x) y) 2) (* (/ y (- x y)) (* 2 x)) (/ y (- x y)) (/ y x) (* 2 x) (* (* y x) (/ -2 (- y x))) (* y x) (/ -2 (- y x)) (/ -2 y) (* (* y x) (/ -2 (- y x))) (/ -2 (- y x)) (/ 2 x))
1.0ms	x	@	inf	((* (* (/ -2 (- y x)) x) y) (* (/ -2 (- y x)) x) (/ -2 (- y x)) (- y x) (/ (* (* x 2) y) (- x y)) (* (+ (* (/ 2 x) y) 2) y) (+ (* (/ 2 x) y) 2) (* (/ y (- x y)) (* 2 x)) (/ y (- x y)) (/ y x) (* 2 x) (* (* y x) (/ -2 (- y x))) (* y x) (/ -2 (- y x)) (/ -2 y) (* (* y x) (/ -2 (- y x))) (/ -2 (- y x)) (/ 2 x))
1.0ms	y	@	inf	((* (* (/ -2 (- y x)) x) y) (* (/ -2 (- y x)) x) (/ -2 (- y x)) (- y x) (/ (* (* x 2) y) (- x y)) (* (+ (* (/ 2 x) y) 2) y) (+ (* (/ 2 x) y) 2) (* (/ y (- x y)) (* 2 x)) (/ y (- x y)) (/ y x) (* 2 x) (* (* y x) (/ -2 (- y x))) (* y x) (/ -2 (- y x)) (/ -2 y) (* (* y x) (/ -2 (- y x))) (/ -2 (- y x)) (/ 2 x))

simplify189.0ms (2.5%)

Memory

-39.8MiB live, 228.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	342	4070
1	1053	3865
2	2934	3622
0	8202	3279

Stop Event

1×	iter limit
1×	node limit

Counts

396 → 393

Calls

Call 1

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

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

rewrite123.0ms (1.7%)

Memory

24.2MiB live, 181.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	146
0	46	146
1	144	146
2	774	146
0	8366	143

Stop Event

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

Counts

18 → 543

Calls

Call 1

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

Outputs
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eval118.0ms (1.6%)

Memory: 7.9MiB live, 238.7MiB allocated
Compiler: Compiled 15 627 to 2 008 computations (87.2% saved)

prune26.0ms (0.4%)

Memory

1.0MiB live, 85.3MiB allocated

Pruning

10 alts after pruning (2 fresh and 8 done)

	Pruned	Kept	Total
New	963	1	964
Fresh	0	1	1
Picked	0	5	5
Done	0	3	3
Total	963	10	973

Accuracy

100.0%

Counts

973 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	89.1%	(.f64 (/.f64 y (-.f64 x y)) (.f64 #s(literal 2 binary64) x))
✓	86.3%	(.f64 (.f64 (/.f64 #s(literal -2 binary64) (-.f64 y x)) x) y)
▶	41.2%	(.f64 (.f64 #s(approx (/ -2 (- y x)) (/.f64 #s(literal -2 binary64) y)) x) y)
✓	36.1%	(.f64 (.f64 y x) #s(approx (/ -2 (- y x)) (/.f64 #s(literal 2 binary64) x)))
✓	43.7%	(.f64 (.f64 y x) #s(approx (/ -2 (- y x)) (/.f64 #s(literal -2 binary64) y)))
✓	35.3%	(.f64 #s(approx (/ y (- x y)) (/.f64 y x)) (.f64 #s(literal 2 binary64) x))
▶	54.6%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64)))
✓	45.7%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y))
✓	46.3%	#s(approx (/ (* (* x 2) y) (- x y)) (.f64 #s(approx (+ ( (/ 2 x) y) 2) #s(literal 2 binary64)) y))
✓	54.8%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x))

Compiler

Compiled 77 to 67 computations (13% saved)

simplify114.0ms (1.5%)

Memory

7.0MiB live, 46.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	77
0	25	77
1	47	77
2	91	77
3	148	77
4	195	77
5	477	77
6	1018	77
7	2619	77
8	3226	77
9	3431	77
10	3443	77
11	3449	77
12	3451	77
13	3472	77
14	3608	77
15	3675	77
16	3675	77
0	3675	77

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize103.0ms (1.4%)

Memory

-23.3MiB live, 66.8MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 #s(literal -2 binary64) y)
accuracy	0.19140625	(*.f64 #s(approx (/ -2 (- y x)) (/.f64 #s(literal -2 binary64) y)) x)
accuracy	8.619270475292511	(.f64 (.f64 #s(approx (/ -2 (- y x)) (/.f64 #s(literal -2 binary64) y)) x) y)
accuracy	28.89913159273713	#s(approx (/ -2 (- y x)) (/.f64 #s(literal -2 binary64) y))
accuracy	0	(/.f64 x y)
accuracy	0	(*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64))
accuracy	0.05078125	(fma.f64 (/.f64 x y) x x)
accuracy	29.059072921145077	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64)))

Samples

36.0ms

256×

valid

Compiler

Compiled 113 to 30 computations (73.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-mult: 10.0ms (44.2% of total)

ival-div: 9.0ms (39.8% of total)

ival-sub: 2.0ms (8.8% of total)

ival-add: 1.0ms (4.4% of total)

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

exact: 0.0ms (0% of total)

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

series11.0ms (0.1%)

Memory

13.5MiB live, 13.5MiB allocated

Counts

8 → 180

Calls

Call 1

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

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

Calls

6 calls:

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

simplify225.0ms (3%)

Memory

4.0MiB live, 156.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	258	1823
1	758	1732
2	2130	1642
3	7058	1638
0	8079	1479

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 177

Calls

Call 1

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

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

rewrite169.0ms (2.3%)

Memory

7.7MiB live, 119.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	71
0	25	71
1	99	71
2	657	71
3	7846	71
0	8287	71

Stop Event

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

Counts

8 → 195

Calls

Call 1

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

Outputs
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eval137.0ms (1.8%)

Memory: -26.0MiB live, 58.2MiB allocated
Compiler: Compiled 6 333 to 959 computations (84.9% saved)

prune17.0ms (0.2%)

Memory

-10.8MiB live, 28.3MiB allocated

Pruning

10 alts after pruning (0 fresh and 10 done)

	Pruned	Kept	Total
New	372	0	372
Fresh	0	0	0
Picked	0	2	2
Done	0	8	8
Total	372	10	382

Accuracy

100.0%

Counts

382 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	89.1%	(.f64 (/.f64 y (-.f64 x y)) (.f64 #s(literal 2 binary64) x))
✓	86.3%	(.f64 (.f64 (/.f64 #s(literal -2 binary64) (-.f64 y x)) x) y)
✓	41.2%	(.f64 (.f64 #s(approx (/ -2 (- y x)) (/.f64 #s(literal -2 binary64) y)) x) y)
✓	36.1%	(.f64 (.f64 y x) #s(approx (/ -2 (- y x)) (/.f64 #s(literal 2 binary64) x)))
✓	43.7%	(.f64 (.f64 y x) #s(approx (/ -2 (- y x)) (/.f64 #s(literal -2 binary64) y)))
✓	35.3%	(.f64 #s(approx (/ y (- x y)) (/.f64 y x)) (.f64 #s(literal 2 binary64) x))
✓	54.6%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64)))
✓	45.7%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y))
✓	46.3%	#s(approx (/ (* (* x 2) y) (- x y)) (.f64 #s(approx (+ ( (/ 2 x) y) 2) #s(literal 2 binary64)) y))
✓	54.8%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x))

Compiler

Compiled 220 to 118 computations (46.4% saved)

regimes16.0ms (0.2%)

Memory

17.7MiB live, 17.7MiB allocated

Counts

15 → 3

Calls

Call 1

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

Outputs
(.f64 (/.f64 y (-.f64 x y)) (.f64 #s(literal 2 binary64) x))
(.f64 (.f64 (/.f64 #s(literal -2 binary64) (-.f64 y x)) x) y)
(.f64 (/.f64 y (-.f64 x y)) (.f64 #s(literal 2 binary64) x))

Calls

3 calls:

5.0ms	y
5.0ms	x
5.0ms	(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))

Results

Accuracy	Segments	Branch
99.8%	3	`x`
99.8%	3	`y`
99.3%	5	`(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))`

Compiler

Compiled 11 to 11 computations (0% saved)

regimes13.0ms (0.2%)

Memory

11.9MiB live, 11.9MiB allocated

Counts

11 → 5

Calls

Call 1

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

Outputs
(.f64 (.f64 (/.f64 #s(literal -2 binary64) (-.f64 y x)) x) y)
(.f64 (.f64 y x) (/.f64 #s(literal -2 binary64) (-.f64 y x)))
(.f64 (.f64 (/.f64 #s(literal -2 binary64) (-.f64 y x)) x) y)
(.f64 (.f64 y x) (/.f64 #s(literal -2 binary64) (-.f64 y x)))
(.f64 (.f64 (/.f64 #s(literal -2 binary64) (-.f64 y x)) x) y)

Calls

3 calls:

4.0ms	y
4.0ms	x
4.0ms	(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))

Results

Accuracy	Segments	Branch
99.0%	5	`(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))`
95.8%	3	`x`
94.1%	3	`y`

Compiler

Compiled 11 to 11 computations (0% saved)

regimes27.0ms (0.4%)

Memory

-27.5MiB live, 11.2MiB allocated

Counts

10 → 5

Calls

Call 1

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

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

Calls

3 calls:

18.0ms	y
4.0ms	x
4.0ms	(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))

Results

Accuracy	Segments	Branch
87.9%	5	`y`
87.3%	4	`x`
89.1%	5	`(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))`

Compiler

Compiled 11 to 11 computations (0% saved)

regimes11.0ms (0.1%)

Memory

10.6MiB live, 10.6MiB allocated

Counts

9 → 3

Calls

Call 1

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

Outputs

#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 y #s(literal 2 binary64)))

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

#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 y #s(literal 2 binary64)))

Calls

3 calls:

3.0ms	y
3.0ms	x
3.0ms	(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))

Results

Accuracy	Segments	Branch
75.4%	3	`y`
78.9%	3	`x`
59.3%	2	`(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))`

Compiler

Compiled 11 to 11 computations (0% saved)

regimes4.0ms (0%)

Memory

3.7MiB live, 3.7MiB allocated

Counts

8 → 3

Calls

Call 1

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

Outputs

#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 y #s(literal 2 binary64)))

#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x))

#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 y #s(literal 2 binary64)))

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
78.9%	3	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes4.0ms (0.1%)

Memory

5.9MiB live, 5.9MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

1.0ms	y
1.0ms	x
1.0ms	(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))

Results

Accuracy	Segments	Branch
54.8%	1	`(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))`
54.8%	1	`y`
54.8%	1	`x`

Compiler

Compiled 11 to 11 computations (0% saved)

bsearch13.0ms (0.2%)

Memory

8.6MiB live, 8.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	predicate-same

Steps

Time	Left	Right
10.0ms	2.510806717673323e-11	4.2084045747804946e-10
1.0ms	-6.722317005632352e-28	-5.599580201553665e-28

Samples

6.0ms

128×

valid

Compiler

Compiled 156 to 140 computations (10.3% saved)

Precisions

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

ival-mult: 2.0ms (56.3% of total)

ival-sub: 1.0ms (28.2% of total)

ival-div: 1.0ms (28.2% of total)

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	3.1446024402868437e-106	7.3081115959622895e-106
0.0ms	0.0	8.498032895179943e-308
0.0ms	-1.1315698541634896e-280	-3.230885705129774e-283
0.0ms	-1.1343575344832677e-27	-1.119916040310733e-27

Compiler

Compiled 12 to 12 computations (0% saved)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	1.4009977369418855e+29	2.9026874868781465e+33
0.0ms	8.498032895179943e-308	5.487932302111446e-306
0.0ms	-7.356874736080509e-295	-1.5017476641563872e-296
0.0ms	-inf	-2.9271904236280086e+127

Compiler

Compiled 12 to 12 computations (0% saved)

bsearch54.0ms (0.7%)

Memory

-8.6MiB live, 33.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	8.06693869893389e+24	2.944657623003336e+35
37.0ms	-7.4014192702005e-44	-4.030257210583012e-50

Samples

40.0ms

304×

valid

Compiler

Compiled 259 to 278 computations (-7.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-mult: 4.0ms (47.4% of total)

ival-sub: 2.0ms (23.7% of total)

ival-div: 2.0ms (23.7% of total)

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

exact: 0.0ms (0% of total)

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

bsearch6.0ms (0.1%)

Memory

8.6MiB live, 8.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	8.06693869893389e+24	2.944657623003336e+35
5.0ms	-7.4014192702005e-44	-4.030257210583012e-50

Samples

2.0ms

48×

valid

Compiler

Compiled 164 to 240 computations (-46.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

ival-mult: 1.0ms (76.6% of total)

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

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

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

exact: 0.0ms (0% of total)

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

simplify30.0ms (0.4%)

Memory

7.3MiB live, 44.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	350
1	83	350
2	90	350
3	94	350
4	96	350

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 y #s(literal -6690223559559187/11150372599265311570767859136324180752990208 binary64)) (.f64 (/.f64 y (-.f64 x y)) (.f64 #s(literal 2 binary64) x)) (if (<=.f64 y #s(literal 3791191370311477/77371252455336267181195264 binary64)) (.f64 (.f64 (/.f64 #s(literal -2 binary64) (-.f64 y x)) x) y) (.f64 (/.f64 y (-.f64 x y)) (.f64 #s(literal 2 binary64) x))))
(if (<=.f64 (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #s(literal -3122104327794287/2787593149816327892691964784081045188247552 binary64)) (.f64 (.f64 (/.f64 #s(literal -2 binary64) (-.f64 y x)) x) y) (if (<=.f64 (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #s(literal -2043740476963553/20437404769635530871361256581497226916530700906859085224986083762557049772738192033637969566644589579154866655684531151298277765001150399085969119214436673744076858091019117327539586267590276988750370373064129781691707499060437712782221877948907972172872918086407741866417750991158722661661540352 binary64)) (.f64 (.f64 y x) (/.f64 #s(literal -2 binary64) (-.f64 y x))) (if (<=.f64 (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #s(literal 0 binary64)) (.f64 (.f64 (/.f64 #s(literal -2 binary64) (-.f64 y x)) x) y) (if (<=.f64 (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #s(literal 5164499756173817/10328999512347634358623676688012047497318823171316894051322637426162590488067364778518581413120551325743612687890989973504 binary64)) (.f64 (.f64 y x) (/.f64 #s(literal -2 binary64) (-.f64 y x))) (.f64 (.f64 (/.f64 #s(literal -2 binary64) (-.f64 y x)) x) y)))))
(if (<=.f64 (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #s(literal -inf.0 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (.f64 y #s(literal 2 binary64))) (if (<=.f64 (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #s(literal -5752618031559411/11505236063118821809467553221049758295155052665230762065499525194094891251552061640493342548634082305351687288311769174890162545204122663839542235560926343960177145179191391057683342054479750023644997308933440369205641643669917624414330439074612943178454432683813523087356623740062701843509462805095950344781824 binary64)) (.f64 (.f64 y x) (/.f64 #s(literal -2 binary64) (-.f64 y x))) (if (<=.f64 (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #s(literal 5060056332682765/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) #s(approx (/ ( (* x 2) y) (- x y)) (.f64 #s(literal -2 binary64) x)) (if (<=.f64 (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #s(literal 199999999999999982866301714432 binary64)) (.f64 (.f64 y x) (/.f64 #s(literal -2 binary64) (-.f64 y x))) #s(approx (/ ( (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64)))))))
(if (<=.f64 x #s(literal -4499426523925173/3213876088517980551083924184682325205044405987565585670602752 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (.f64 y #s(literal 2 binary64))) (if (<=.f64 x #s(literal 1699999999999999995101052928 binary64)) #s(approx (/ ( (* x 2) y) (- x y)) (.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64))) #s(approx (/ ( (* x 2) y) (- x y)) (*.f64 y #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal -6427752177035961/3213876088517980551083924184682325205044405987565585670602752 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (.f64 y #s(literal 2 binary64))) (if (<=.f64 x #s(literal 1699999999999999995101052928 binary64)) #s(approx (/ ( (* x 2) y) (- x y)) (.f64 #s(literal -2 binary64) x)) #s(approx (/ ( (* x 2) y) (- x y)) (*.f64 y #s(literal 2 binary64)))))
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x))

Outputs
(if (<=.f64 y #s(literal -6690223559559187/11150372599265311570767859136324180752990208 binary64)) (.f64 (/.f64 y (-.f64 x y)) (.f64 #s(literal 2 binary64) x)) (if (<=.f64 y #s(literal 3791191370311477/77371252455336267181195264 binary64)) (.f64 (.f64 (/.f64 #s(literal -2 binary64) (-.f64 y x)) x) y) (.f64 (/.f64 y (-.f64 x y)) (.f64 #s(literal 2 binary64) x))))
(if (<=.f64 y #s(literal -6690223559559187/11150372599265311570767859136324180752990208 binary64)) (.f64 (.f64 #s(literal 2 binary64) x) (/.f64 y (-.f64 x y))) (if (<=.f64 y #s(literal 3791191370311477/77371252455336267181195264 binary64)) (.f64 (.f64 (/.f64 #s(literal -2 binary64) (-.f64 y x)) x) y) (.f64 (.f64 #s(literal 2 binary64) x) (/.f64 y (-.f64 x y)))))
(if (<=.f64 (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #s(literal -3122104327794287/2787593149816327892691964784081045188247552 binary64)) (.f64 (.f64 (/.f64 #s(literal -2 binary64) (-.f64 y x)) x) y) (if (<=.f64 (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #s(literal -2043740476963553/20437404769635530871361256581497226916530700906859085224986083762557049772738192033637969566644589579154866655684531151298277765001150399085969119214436673744076858091019117327539586267590276988750370373064129781691707499060437712782221877948907972172872918086407741866417750991158722661661540352 binary64)) (.f64 (.f64 y x) (/.f64 #s(literal -2 binary64) (-.f64 y x))) (if (<=.f64 (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #s(literal 0 binary64)) (.f64 (.f64 (/.f64 #s(literal -2 binary64) (-.f64 y x)) x) y) (if (<=.f64 (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #s(literal 5164499756173817/10328999512347634358623676688012047497318823171316894051322637426162590488067364778518581413120551325743612687890989973504 binary64)) (.f64 (.f64 y x) (/.f64 #s(literal -2 binary64) (-.f64 y x))) (.f64 (.f64 (/.f64 #s(literal -2 binary64) (-.f64 y x)) x) y)))))
(if (<=.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) x) y) (-.f64 x y)) #s(literal -3122104327794287/2787593149816327892691964784081045188247552 binary64)) (.f64 (.f64 (/.f64 #s(literal -2 binary64) (-.f64 y x)) x) y) (if (<=.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) x) y) (-.f64 x y)) #s(literal -2043740476963553/20437404769635530871361256581497226916530700906859085224986083762557049772738192033637969566644589579154866655684531151298277765001150399085969119214436673744076858091019117327539586267590276988750370373064129781691707499060437712782221877948907972172872918086407741866417750991158722661661540352 binary64)) (.f64 (.f64 x y) (/.f64 #s(literal -2 binary64) (-.f64 y x))) (if (<=.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) x) y) (-.f64 x y)) #s(literal 0 binary64)) (.f64 (.f64 (/.f64 #s(literal -2 binary64) (-.f64 y x)) x) y) (if (<=.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) x) y) (-.f64 x y)) #s(literal 5164499756173817/10328999512347634358623676688012047497318823171316894051322637426162590488067364778518581413120551325743612687890989973504 binary64)) (.f64 (.f64 x y) (/.f64 #s(literal -2 binary64) (-.f64 y x))) (.f64 (.f64 (/.f64 #s(literal -2 binary64) (-.f64 y x)) x) y)))))
(if (<=.f64 (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #s(literal -inf.0 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (.f64 y #s(literal 2 binary64))) (if (<=.f64 (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #s(literal -5752618031559411/11505236063118821809467553221049758295155052665230762065499525194094891251552061640493342548634082305351687288311769174890162545204122663839542235560926343960177145179191391057683342054479750023644997308933440369205641643669917624414330439074612943178454432683813523087356623740062701843509462805095950344781824 binary64)) (.f64 (.f64 y x) (/.f64 #s(literal -2 binary64) (-.f64 y x))) (if (<=.f64 (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #s(literal 5060056332682765/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) #s(approx (/ ( (* x 2) y) (- x y)) (.f64 #s(literal -2 binary64) x)) (if (<=.f64 (/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #s(literal 199999999999999982866301714432 binary64)) (.f64 (.f64 y x) (/.f64 #s(literal -2 binary64) (-.f64 y x))) #s(approx (/ ( (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64)))))))
(if (<=.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) x) y) (-.f64 x y)) #s(literal -inf.0 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (.f64 #s(literal 2 binary64) y)) (if (<=.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) x) y) (-.f64 x y)) #s(literal -5752618031559411/11505236063118821809467553221049758295155052665230762065499525194094891251552061640493342548634082305351687288311769174890162545204122663839542235560926343960177145179191391057683342054479750023644997308933440369205641643669917624414330439074612943178454432683813523087356623740062701843509462805095950344781824 binary64)) (.f64 (.f64 x y) (/.f64 #s(literal -2 binary64) (-.f64 y x))) (if (<=.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) x) y) (-.f64 x y)) #s(literal 5060056332682765/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) #s(approx (/ ( (* x 2) y) (- x y)) (.f64 #s(literal -2 binary64) x)) (if (<=.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) x) y) (-.f64 x y)) #s(literal 199999999999999982866301714432 binary64)) (.f64 (.f64 x y) (/.f64 #s(literal -2 binary64) (-.f64 y x))) #s(approx (/ ( (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64)))))))
(if (<=.f64 x #s(literal -4499426523925173/3213876088517980551083924184682325205044405987565585670602752 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (.f64 y #s(literal 2 binary64))) (if (<=.f64 x #s(literal 1699999999999999995101052928 binary64)) #s(approx (/ ( (* x 2) y) (- x y)) (.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64))) #s(approx (/ ( (* x 2) y) (- x y)) (*.f64 y #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal -4499426523925173/3213876088517980551083924184682325205044405987565585670602752 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (.f64 #s(literal 2 binary64) y)) (if (<=.f64 x #s(literal 1699999999999999995101052928 binary64)) #s(approx (/ ( (* x 2) y) (- x y)) (.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64))) #s(approx (/ ( (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y))))
(if (<=.f64 x #s(literal -6427752177035961/3213876088517980551083924184682325205044405987565585670602752 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (.f64 y #s(literal 2 binary64))) (if (<=.f64 x #s(literal 1699999999999999995101052928 binary64)) #s(approx (/ ( (* x 2) y) (- x y)) (.f64 #s(literal -2 binary64) x)) #s(approx (/ ( (* x 2) y) (- x y)) (*.f64 y #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal -6427752177035961/3213876088517980551083924184682325205044405987565585670602752 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (.f64 #s(literal 2 binary64) y)) (if (<=.f64 x #s(literal 1699999999999999995101052928 binary64)) #s(approx (/ ( (* x 2) y) (- x y)) (.f64 #s(literal -2 binary64) x)) #s(approx (/ ( (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y))))
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x))

soundness821.0ms (11%)

Memory

-1.2MiB live, 400.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	164
0	48	143
1	170	143
2	1183	143
0	8454	143
0	7	20
0	11	20
1	40	20
2	250	20
3	2754	20
0	9208	20
0	136	557
1	378	543
2	1014	523
3	3096	517
4	6425	517
0	8149	486

Stop Event

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

Compiler

Compiled 429 to 171 computations (60.1% saved)

preprocess109.0ms (1.5%)

Memory: -12.2MiB live, 148.2MiB allocated
Compiler: Compiled 608 to 174 computations (71.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze13.0ms (0.2%)

sample1.4s (18.5%)

explain277.0ms (3.7%)

preprocess175.0ms (2.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify54.0ms (0.7%)

localize22.0ms (0.3%)

series9.0ms (0.1%)

simplify210.0ms (2.8%)

rewrite242.0ms (3.2%)

eval69.0ms (0.9%)

prune39.0ms (0.5%)

simplify407.0ms (5.5%)

localize189.0ms (2.5%)

series92.0ms (1.2%)

simplify424.0ms (5.7%)

rewrite311.0ms (4.2%)

eval859.0ms (11.5%)

prune61.0ms (0.8%)

simplify160.0ms (2.1%)

localize79.0ms (1.1%)

series39.0ms (0.5%)

simplify189.0ms (2.5%)

rewrite123.0ms (1.7%)

eval118.0ms (1.6%)

prune26.0ms (0.4%)

simplify114.0ms (1.5%)

localize103.0ms (1.4%)

series11.0ms (0.1%)

simplify225.0ms (3%)

rewrite169.0ms (2.3%)

eval137.0ms (1.8%)

prune17.0ms (0.2%)

regimes16.0ms (0.2%)

regimes13.0ms (0.2%)

regimes27.0ms (0.4%)

regimes11.0ms (0.1%)

regimes4.0ms (0%)

regimes4.0ms (0.1%)

bsearch13.0ms (0.2%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch54.0ms (0.7%)

bsearch6.0ms (0.1%)

simplify30.0ms (0.4%)

soundness821.0ms (11%)

preprocess109.0ms (1.5%)

end0.0ms (0%)

Profiling