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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze14.0ms (0.2%)

Memory

-10.1MiB live, 28.2MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
50%	50%	50%	0.1%	0%	0%	0%	3
50%	50%	50%	0.1%	0%	0%	0%	4
75%	74.9%	25%	0.1%	0%	0%	0%	5
75%	74.9%	25%	0.1%	0%	0%	0%	6
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	7
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	8
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	9
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	10
96.9%	96.8%	3.1%	0.1%	0%	0%	0%	11
96.9%	96.8%	3.1%	0.1%	0%	0%	0%	12

Compiler

Compiled 11 to 9 computations (18.2% saved)

sample1.3s (17.8%)

Memory

51.5MiB live, 907.6MiB allocated

Samples

978.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 671.0ms

ival-mult: 315.0ms (46.9% of total)

ival-div: 225.0ms (33.5% of total)

ival-sub: 117.0ms (17.4% of total)

ival-true: 6.0ms (0.9% of total)

exact: 5.0ms (0.7% of total)

ival-assert: 3.0ms (0.4% of total)

Bogosity

explain91.0ms (1.2%)

Memory

-13.7MiB live, 77.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
78	-	5	(-6.465455666523812e-275 1.5640419156422787e-43)	`(/.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))`	u/n	37	0
↳	`(.f64 (.f64 x #s(literal 2 binary64)) y)`	underflow	37
`/.f64`	`(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))`	o/n	36	0
↳	`(.f64 (.f64 x #s(literal 2 binary64)) y)`	overflow	36

Confusion

	Predicted +	Predicted -
+	73	5
-	0	178

Precision

1.0

Recall

0.9358974358974359

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	73	0	5
-	0	0	178

Precision?

1.0

Recall?

0.9358974358974359

Freqs

test

number	freq
0	183
1	73

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

27.0ms

512×

valid

Compiler

Compiled 59 to 25 computations (57.6% saved)

Precisions

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

ival-mult: 7.0ms (52.4% of total)

ival-sub: 3.0ms (22.5% of total)

ival-div: 3.0ms (22.5% of total)

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

exact: 0.0ms (0% of total)

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

preprocess248.0ms (3.4%)

Memory

-39.9MiB live, 90.9MiB 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: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	72.5%	(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify56.0ms (0.8%)

Memory

29.8MiB live, 29.8MiB 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)

localize79.0ms (1.1%)

Memory

-16.3MiB live, 54.8MiB 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	17.612068406061564	(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))

Samples

23.0ms

256×

valid

Compiler

Compiled 25 to 9 computations (64% saved)

Precisions

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

ival-sub: 4.0ms (41.7% of total)

ival-mult: 3.0ms (31.3% of total)

ival-div: 2.0ms (20.8% 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

21.7MiB live, 21.7MiB 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))

simplify339.0ms (4.6%)

Memory

-5.6MiB live, 264.8MiB 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)

rewrite274.0ms (3.7%)

Memory

28.4MiB live, 246.4MiB 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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eval145.0ms (2%)

Memory: -48.1MiB live, 65.5MiB allocated
Compiler: Compiled 11 154 to 1 335 computations (88% saved)

prune14.0ms (0.2%)

Memory

1.4MiB live, 39.3MiB allocated

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	479	7	486
Fresh	0	0	0
Picked	0	1	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
	36.0%	(/.f64 (.f64 (.f64 y #s(literal 2 binary64)) (.f64 x (+.f64 y x))) (fma.f64 (neg.f64 y) y (.f64 x x)))
✓	72.5%	(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))
	89.5%	(.f64 (/.f64 y (-.f64 x y)) (.f64 #s(literal 2 binary64) x))
▶	91.4%	(.f64 (.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y)))
▶	50.3%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64)))
▶	49.2%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y))
▶	49.4%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 y #s(literal 2 binary64)))
▶	50.3%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x))

Compiler

Compiled 131 to 105 computations (19.8% saved)

simplify340.0ms (4.6%)

Memory

-2.2MiB live, 80.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	135
0	36	135
1	64	135
2	110	135
3	167	135
4	212	135
5	430	135
6	721	135
7	1616	135
8	2862	135
9	3561	135
10	3819	135
11	3911	135
12	3933	135
13	3935	135
14	4127	135
15	4199	135
16	4199	135
17	4199	135
18	4199	135
19	4271	135
20	4765	135
0	4765	135

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize62.0ms (0.8%)

Memory

25.6MiB live, 63.8MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 x y)
accuracy	0	(*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64))
accuracy	0.0625	(fma.f64 (/.f64 x y) x x)
accuracy	31.79940518463718	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64)))
accuracy	0	(/.f64 #s(literal 2 binary64) x)
accuracy	0.0625	(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)
accuracy	0.11947250976844201	(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64))
accuracy	32.50255770277879	#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 y #s(literal 2 binary64))
accuracy	32.360473356474984	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 y #s(literal 2 binary64)))
accuracy	0	(*.f64 #s(literal -2 binary64) x)
accuracy	31.82010692469052	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x))
accuracy	0	(-.f64 x y)
accuracy	0	(*.f64 y #s(literal 2 binary64))
accuracy	0.0234375	(/.f64 x (-.f64 x y))
accuracy	5.495856433573839	(.f64 (.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y)))

Samples

49.0ms

256×

valid

Compiler

Compiled 115 to 22 computations (80.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-add: 14.0ms (38.9% of total)

ival-mult: 13.0ms (36.2% of total)

ival-div: 6.0ms (16.7% of total)

ival-sub: 1.0ms (2.8% of total)

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

exact: 0.0ms (0% of total)

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

series59.0ms (0.8%)

Memory

-5.8MiB live, 32.6MiB allocated

Counts

15 → 324

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
40.0ms	x	@	inf	((* (* y 2) (/ x (- x y))) (* y 2) (/ x (- x y)) (- x y) (/ (* (* x 2) y) (- x y)) (* -2 x) (/ (* (* x 2) y) (- x y)) (/ (* (* x 2) y) (- x y)) (* (+ (* (/ 2 x) y) 2) y) (+ (* (/ 2 x) y) 2) (/ 2 x) (/ (* (* x 2) y) (- x y)) (* (+ (* (/ x y) x) x) -2) (+ (* (/ x y) x) x) (/ x y))
3.0ms	y	@	0	((* (* y 2) (/ x (- x y))) (* y 2) (/ x (- x y)) (- x y) (/ (* (* x 2) y) (- x y)) (* -2 x) (/ (* (* x 2) y) (- x y)) (/ (* (* x 2) y) (- x y)) (* (+ (* (/ 2 x) y) 2) y) (+ (* (/ 2 x) y) 2) (/ 2 x) (/ (* (* x 2) y) (- x y)) (* (+ (* (/ x y) x) x) -2) (+ (* (/ x y) x) x) (/ x y))
2.0ms	y	@	-inf	((* (* y 2) (/ x (- x y))) (* y 2) (/ x (- x y)) (- x y) (/ (* (* x 2) y) (- x y)) (* -2 x) (/ (* (* x 2) y) (- x y)) (/ (* (* x 2) y) (- x y)) (* (+ (* (/ 2 x) y) 2) y) (+ (* (/ 2 x) y) 2) (/ 2 x) (/ (* (* x 2) y) (- x y)) (* (+ (* (/ x y) x) x) -2) (+ (* (/ x y) x) x) (/ x y))
2.0ms	x	@	-inf	((* (* y 2) (/ x (- x y))) (* y 2) (/ x (- x y)) (- x y) (/ (* (* x 2) y) (- x y)) (* -2 x) (/ (* (* x 2) y) (- x y)) (/ (* (* x 2) y) (- x y)) (* (+ (* (/ 2 x) y) 2) y) (+ (* (/ 2 x) y) 2) (/ 2 x) (/ (* (* x 2) y) (- x y)) (* (+ (* (/ x y) x) x) -2) (+ (* (/ x y) x) x) (/ x y))
2.0ms	x	@	0	((* (* y 2) (/ x (- x y))) (* y 2) (/ x (- x y)) (- x y) (/ (* (* x 2) y) (- x y)) (* -2 x) (/ (* (* x 2) y) (- x y)) (/ (* (* x 2) y) (- x y)) (* (+ (* (/ 2 x) y) 2) y) (+ (* (/ 2 x) y) 2) (/ 2 x) (/ (* (* x 2) y) (- x y)) (* (+ (* (/ x y) x) x) -2) (+ (* (/ x y) x) x) (/ x y))

simplify227.0ms (3.1%)

Memory

13.8MiB live, 196.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	237	2919
1	708	2829
2	1947	2702
3	5732	2686
0	8663	2462

Stop Event

1×	iter limit
1×	node limit

Counts

324 → 318

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

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

rewrite213.0ms (2.9%)

Memory

-29.6MiB live, 234.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	119
0	36	119
1	123	119
2	735	119
0	8391	119

Stop Event

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

Counts

15 → 621

Calls

Call 1

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

Outputs
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eval335.0ms (4.5%)

Memory: -1.9MiB live, 273.2MiB allocated
Compiler: Compiled 17 733 to 2 271 computations (87.2% saved)

prune74.0ms (1%)

Memory

19.6MiB live, 97.3MiB allocated

Pruning

11 alts after pruning (5 fresh and 6 done)

	Pruned	Kept	Total
New	950	5	955
Fresh	2	0	2
Picked	0	5	5
Done	0	1	1
Total	952	11	963

Accuracy

100.0%

Counts

963 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	72.5%	(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))
▶	43.2%	(.f64 (/.f64 (.f64 #s(literal 2 binary64) y) (.f64 (+.f64 x y) (-.f64 x y))) (.f64 x (+.f64 x y)))
▶	89.5%	(.f64 (/.f64 y (-.f64 x y)) (.f64 x #s(literal 2 binary64)))
▶	81.0%	(.f64 (.f64 (/.f64 x (+.f64 x y)) (*.f64 (/.f64 y (-.f64 x y)) #s(literal 2 binary64))) (+.f64 x y))
✓	91.4%	(.f64 (.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y)))
▶	41.7%	(.f64 (.f64 y #s(literal 2 binary64)) (/.f64 x #s(approx (- x y) (neg.f64 y))))
✓	50.3%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64)))
▶	50.3%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x))
✓	49.2%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y))
✓	49.4%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 y #s(literal 2 binary64)))
✓	50.3%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x))

Compiler

Compiled 166 to 122 computations (26.5% saved)

simplify299.0ms (4%)

Memory

22.0MiB live, 208.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 x y)
cost-diff	0	(/.f64 x (+.f64 x y))
cost-diff	0	(.f64 (/.f64 x (+.f64 x y)) (.f64 (/.f64 y (-.f64 x y)) #s(literal 2 binary64)))
cost-diff	1408	(.f64 (.f64 (/.f64 x (+.f64 x y)) (*.f64 (/.f64 y (-.f64 x y)) #s(literal 2 binary64))) (+.f64 x y))
cost-diff	0	(+.f64 x y)
cost-diff	0	(*.f64 (+.f64 x y) (-.f64 x y))
cost-diff	0	(*.f64 #s(literal 2 binary64) y)
cost-diff	1408	(.f64 (/.f64 (.f64 #s(literal 2 binary64) y) (.f64 (+.f64 x y) (-.f64 x y))) (.f64 x (+.f64 x y)))
cost-diff	0	#s(approx (- x y) (neg.f64 y))
cost-diff	0	(/.f64 x #s(approx (- x y) (neg.f64 y)))
cost-diff	0	(*.f64 y #s(literal 2 binary64))
cost-diff	0	(.f64 (.f64 y #s(literal 2 binary64)) (/.f64 x #s(approx (- x y) (neg.f64 y))))
cost-diff	0	(/.f64 x y)
cost-diff	0	(fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64))
cost-diff	0	(*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x)
cost-diff	0	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x))
cost-diff	0	(*.f64 x #s(literal 2 binary64))
cost-diff	0	(-.f64 x y)
cost-diff	0	(/.f64 y (-.f64 x y))
cost-diff	0	(.f64 (/.f64 y (-.f64 x y)) (.f64 x #s(literal 2 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	203
0	54	187
1	118	187
2	341	187
3	1093	187
4	2644	187
5	4515	187
0	8188	187

Stop Event

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

Calls

Call 1

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

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

localize141.0ms (1.9%)

Memory

-12.9MiB live, 228.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(*.f64 (/.f64 y (-.f64 x y)) #s(literal 2 binary64))
accuracy	0.01953125	(/.f64 x (+.f64 x y))
accuracy	0.0390625	(.f64 (/.f64 x (+.f64 x y)) (.f64 (/.f64 y (-.f64 x y)) #s(literal 2 binary64)))
accuracy	12.161131798538438	(.f64 (.f64 (/.f64 x (+.f64 x y)) (*.f64 (/.f64 y (-.f64 x y)) #s(literal 2 binary64))) (+.f64 x y))
accuracy	0	(*.f64 #s(literal 2 binary64) y)
accuracy	0.0078125	(*.f64 x (+.f64 x y))
accuracy	18.753478410592507	(/.f64 (.f64 #s(literal 2 binary64) y) (.f64 (+.f64 x y) (-.f64 x y)))
accuracy	26.998716075878654	(.f64 (/.f64 (.f64 #s(literal 2 binary64) y) (.f64 (+.f64 x y) (-.f64 x y))) (.f64 x (+.f64 x y)))
accuracy	0	(neg.f64 y)
accuracy	0.0234375	(/.f64 x #s(approx (- x y) (neg.f64 y)))
accuracy	5.495856433573839	(.f64 (.f64 y #s(literal 2 binary64)) (/.f64 x #s(approx (- x y) (neg.f64 y))))
accuracy	31.829348644836358	#s(approx (- x y) (neg.f64 y))
accuracy	0	(/.f64 x y)
accuracy	0.0078125	(fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64))
accuracy	0.08203125	(*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x)
accuracy	31.79940518463718	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x))
accuracy	0	(-.f64 x y)
accuracy	0	(*.f64 x #s(literal 2 binary64))
accuracy	0.00390625	(/.f64 y (-.f64 x y))
accuracy	6.702786671454752	(.f64 (/.f64 y (-.f64 x y)) (.f64 x #s(literal 2 binary64)))

Samples

118.0ms

256×

valid

Compiler

Compiled 189 to 30 computations (84.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 58.0ms

ival-mult: 43.0ms (74.2% of total)

ival-div: 10.0ms (17.3% of total)

ival-sub: 2.0ms (3.5% of total)

ival-add: 2.0ms (3.5% of total)

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

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

exact: 0.0ms (0% of total)

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

series54.0ms (0.7%)

Memory

5.1MiB live, 114.5MiB allocated

Counts

23 → 504

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
8.0ms	x	@	inf	((* (/ y (- x y)) (* x 2)) (/ y (- x y)) (- x y) (* x 2) (/ (* (* x 2) y) (- x y)) (* (+ (* (/ x y) -2) -2) x) (+ (* (/ x y) -2) -2) (/ x y) (* (* y 2) (/ x (- x y))) (* y 2) (/ x (- x y)) (- x y) (* (/ (* 2 y) (* (+ x y) (- x y))) (* x (+ x y))) (* 2 y) (* (+ x y) (- x y)) (+ x y) (* (* (/ x (+ x y)) (* (/ y (- x y)) 2)) (+ x y)) (* (/ x (+ x y)) (* (/ y (- x y)) 2)) (/ x (+ x y)) (neg y) (/ (* 2 y) (* (+ x y) (- x y))) (* x (+ x y)) (* (/ y (- x y)) 2))
7.0ms	y	@	inf	((* (/ y (- x y)) (* x 2)) (/ y (- x y)) (- x y) (* x 2) (/ (* (* x 2) y) (- x y)) (* (+ (* (/ x y) -2) -2) x) (+ (* (/ x y) -2) -2) (/ x y) (* (* y 2) (/ x (- x y))) (* y 2) (/ x (- x y)) (- x y) (* (/ (* 2 y) (* (+ x y) (- x y))) (* x (+ x y))) (* 2 y) (* (+ x y) (- x y)) (+ x y) (* (* (/ x (+ x y)) (* (/ y (- x y)) 2)) (+ x y)) (* (/ x (+ x y)) (* (/ y (- x y)) 2)) (/ x (+ x y)) (neg y) (/ (* 2 y) (* (+ x y) (- x y))) (* x (+ x y)) (* (/ y (- x y)) 2))
5.0ms	y	@	0	((* (/ y (- x y)) (* x 2)) (/ y (- x y)) (- x y) (* x 2) (/ (* (* x 2) y) (- x y)) (* (+ (* (/ x y) -2) -2) x) (+ (* (/ x y) -2) -2) (/ x y) (* (* y 2) (/ x (- x y))) (* y 2) (/ x (- x y)) (- x y) (* (/ (* 2 y) (* (+ x y) (- x y))) (* x (+ x y))) (* 2 y) (* (+ x y) (- x y)) (+ x y) (* (* (/ x (+ x y)) (* (/ y (- x y)) 2)) (+ x y)) (* (/ x (+ x y)) (* (/ y (- x y)) 2)) (/ x (+ x y)) (neg y) (/ (* 2 y) (* (+ x y) (- x y))) (* x (+ x y)) (* (/ y (- x y)) 2))
3.0ms	x	@	-inf	((* (/ y (- x y)) (* x 2)) (/ y (- x y)) (- x y) (* x 2) (/ (* (* x 2) y) (- x y)) (* (+ (* (/ x y) -2) -2) x) (+ (* (/ x y) -2) -2) (/ x y) (* (* y 2) (/ x (- x y))) (* y 2) (/ x (- x y)) (- x y) (* (/ (* 2 y) (* (+ x y) (- x y))) (* x (+ x y))) (* 2 y) (* (+ x y) (- x y)) (+ x y) (* (* (/ x (+ x y)) (* (/ y (- x y)) 2)) (+ x y)) (* (/ x (+ x y)) (* (/ y (- x y)) 2)) (/ x (+ x y)) (neg y) (/ (* 2 y) (* (+ x y) (- x y))) (* x (+ x y)) (* (/ y (- x y)) 2))
3.0ms	y	@	-inf	((* (/ y (- x y)) (* x 2)) (/ y (- x y)) (- x y) (* x 2) (/ (* (* x 2) y) (- x y)) (* (+ (* (/ x y) -2) -2) x) (+ (* (/ x y) -2) -2) (/ x y) (* (* y 2) (/ x (- x y))) (* y 2) (/ x (- x y)) (- x y) (* (/ (* 2 y) (* (+ x y) (- x y))) (* x (+ x y))) (* 2 y) (* (+ x y) (- x y)) (+ x y) (* (* (/ x (+ x y)) (* (/ y (- x y)) 2)) (+ x y)) (* (/ x (+ x y)) (* (/ y (- x y)) 2)) (/ x (+ x y)) (neg y) (/ (* 2 y) (* (+ x y) (- x y))) (* x (+ x y)) (* (/ y (- x y)) 2))

simplify137.0ms (1.9%)

Memory

-1.0MiB live, 270.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	708	5451
1	2219	4750
2	7249	4637
0	8182	4359

Stop Event

1×	iter limit
1×	node limit

Counts

504 → 492

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

rewrite215.0ms (2.9%)

Memory

-17.3MiB live, 253.3MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	31	174
0	54	158
1	183	158
2	1307	154
0	8812	154

Stop Event

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

Counts

23 → 1 837

Calls

Call 1

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

Outputs
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#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>

eval449.0ms (6.1%)

Memory: 32.5MiB live, 642.2MiB allocated
Compiler: Compiled 70 441 to 5 572 computations (92.1% saved)

prune59.0ms (0.8%)

Memory

16.5MiB live, 174.7MiB allocated

Pruning

10 alts after pruning (1 fresh and 9 done)

	Pruned	Kept	Total
New	2 827	1	2 828
Fresh	0	0	0
Picked	2	3	5
Done	0	6	6
Total	2 829	10	2 839

Accuracy

100.0%

Counts

2 839 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	72.5%	(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))
✓	89.5%	(.f64 (/.f64 y (-.f64 x y)) (.f64 x #s(literal 2 binary64)))
✓	91.4%	(.f64 (.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y)))
▶	90.2%	(.f64 (.f64 y #s(literal 2 binary64)) (/.f64 x #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))))
✓	41.7%	(.f64 (.f64 y #s(literal 2 binary64)) (/.f64 x #s(approx (- x y) (neg.f64 y))))
✓	50.3%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64)))
✓	50.3%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x))
✓	49.2%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y))
✓	49.4%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 y #s(literal 2 binary64)))
✓	50.3%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x))

Compiler

Compiled 85 to 71 computations (16.5% saved)

simplify117.0ms (1.6%)

Memory

7.0MiB live, 82.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	12	63
0	18	63
1	31	63
2	61	63
3	107	63
4	238	47
5	524	47
6	1144	47
7	2664	47
8	5363	47
9	7097	47
10	7630	47
11	7719	47
12	7850	47
13	7924	47
0	8184	47

Stop Event

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

Calls

Call 1

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

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

localize43.0ms (0.6%)

Memory

-13.3MiB live, 63.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(-.f64 #s(literal 1 binary64) (/.f64 y x))
accuracy	0.0234375	(/.f64 x #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)))
accuracy	5.495856433573839	(.f64 (.f64 y #s(literal 2 binary64)) (/.f64 x #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))))
accuracy	6.176302998581378	(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)

Samples

26.0ms

256×

valid

Compiler

Compiled 41 to 13 computations (68.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-mult: 8.0ms (45.6% of total)

ival-sub: 6.0ms (34.2% of total)

ival-div: 4.0ms (22.8% of total)

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

exact: 0.0ms (0% of total)

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

series6.0ms (0.1%)

Memory

12.3MiB live, 12.3MiB allocated

Counts

5 → 108

Calls

Call 1

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

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

Calls

6 calls:

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

simplify437.0ms (5.9%)

Memory

-123.4MiB live, 193.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	219	862
1	648	822
2	1781	775
3	6132	767
0	8094	723

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 105

Calls

Call 1

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

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

rewrite108.0ms (1.5%)

Memory

15.4MiB live, 133.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	45
0	18	45
1	68	45
2	443	45
3	6616	45
0	8291	45

Stop Event

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

Counts

5 → 205

Calls

Call 1

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

Outputs
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eval91.0ms (1.2%)

Memory: 3.8MiB live, 114.1MiB allocated
Compiler: Compiled 6 317 to 1 055 computations (83.3% saved)

prune11.0ms (0.1%)

Memory

-5.0MiB live, 33.4MiB allocated

Pruning

10 alts after pruning (0 fresh and 10 done)

	Pruned	Kept	Total
New	310	0	310
Fresh	0	0	0
Picked	0	1	1
Done	0	9	9
Total	310	10	320

Accuracy

100.0%

Counts

320 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	72.5%	(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))
✓	89.5%	(.f64 (/.f64 y (-.f64 x y)) (.f64 x #s(literal 2 binary64)))
✓	91.4%	(.f64 (.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y)))
✓	90.2%	(.f64 (.f64 y #s(literal 2 binary64)) (/.f64 x #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))))
✓	41.7%	(.f64 (.f64 y #s(literal 2 binary64)) (/.f64 x #s(approx (- x y) (neg.f64 y))))
✓	50.3%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64)))
✓	50.3%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x))
✓	49.2%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y))
✓	49.4%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 y #s(literal 2 binary64)))
✓	50.3%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x))

Compiler

Compiled 230 to 127 computations (44.8% saved)

regimes44.0ms (0.6%)

Memory

-3.1MiB live, 35.6MiB allocated

Counts

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

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

Calls

3 calls:

34.0ms	y
5.0ms	x
4.0ms	(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))

Results

Accuracy	Segments	Branch
99.9%	3	`x`
99.9%	3	`y`
99.2%	5	`(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))`

Compiler

Compiled 11 to 11 computations (0% saved)

regimes31.0ms (0.4%)

Memory

-10.0MiB live, 29.4MiB allocated

Counts

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

Outputs

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

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

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

Calls

3 calls:

24.0ms	(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))
3.0ms	y
3.0ms	x

Results

Accuracy	Segments	Branch
91.4%	1	`(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))`
94.2%	2	`y`
95.9%	3	`x`

Compiler

Compiled 11 to 11 computations (0% saved)

regimes13.0ms (0.2%)

Memory

-7.6MiB live, 33.7MiB allocated

Counts

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

Outputs

#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)))

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

Calls

3 calls:

7.0ms	(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))
3.0ms	x
3.0ms	y

Results

Accuracy	Segments	Branch
58.3%	3	`(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))`
69.5%	3	`y`
79.0%	3	`x`

Compiler

Compiled 11 to 11 computations (0% saved)

regimes3.0ms (0%)

Memory

8.7MiB live, 8.7MiB allocated

Counts

4 → 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 (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) #s(literal -2 binary64) #s(literal -2 binary64)) x))

Outputs

#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) #s(literal -2 binary64) #s(literal -2 binary64)) x))

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
79.0%	3	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes2.0ms (0%)

Memory

9.1MiB live, 9.1MiB allocated

Counts

3 → 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 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y))

Outputs

#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 #s(literal -2 binary64) x))

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
78.9%	3	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes2.0ms (0%)

Memory

7.8MiB live, 7.8MiB allocated

Counts

2 → 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)))

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:

2.0ms

Results

Accuracy	Segments	Branch
78.9%	3	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes5.0ms (0.1%)

Memory

-20.1MiB live, 18.9MiB 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:

2.0ms	y
1.0ms	x
1.0ms	(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))

Results

Accuracy	Segments	Branch
50.3%	1	`(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))`
50.3%	1	`y`
50.3%	1	`x`

Compiler

Compiled 11 to 11 computations (0% saved)

bsearch8.0ms (0.1%)

Memory

26.0MiB live, 26.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	predicate-same
1×	predicate-same

Steps

Time	Left	Right
6.0ms	1.93531843706808e+31	2.4364191648056703e+35
1.0ms	-0.8243253617511486	-0.22085721905161368

Samples

4.0ms

80×

valid

Compiler

Compiled 102 to 92 computations (9.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-mult: 1.0ms (50.1% 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)

bsearch24.0ms (0.3%)

Memory

-1.6MiB live, 36.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	1.1836592793572544e-191	2.703030836473045e-185
10.0ms	-1.137224746152125e-118	-9.877883168149742e-120

Samples

11.0ms

240×

valid

Compiler

Compiled 282 to 252 computations (10.6% saved)

Precisions

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

ival-mult: 3.0ms (48.8% of total)

ival-div: 2.0ms (32.5% of total)

ival-sub: 1.0ms (16.3% of total)

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

exact: 0.0ms (0% of total)

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

bsearch25.0ms (0.3%)

Memory

6.6MiB live, 41.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	9.345755920510766e-55	7.038964679021376e-53
13.0ms	-3.453980666869804e-10	-3.5823273211529973e-13

Samples

13.0ms

240×

valid

Compiler

Compiled 247 to 238 computations (3.6% saved)

Precisions

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

ival-div: 4.0ms (48.6% of total)

ival-mult: 3.0ms (36.4% of total)

ival-sub: 1.0ms (12.1% of total)

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

exact: 0.0ms (0% of total)

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

bsearch2.0ms (0%)

Memory

3.3MiB live, 3.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	9.345755920510766e-55	7.038964679021376e-53
1.0ms	-3.453980666869804e-10	-3.5823273211529973e-13

Compiler

Compiled 247 to 238 computations (3.6% saved)

bsearch12.0ms (0.2%)

Memory

-73.9MiB live, 3.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	9.345755920510766e-55	7.038964679021376e-53
1.0ms	-3.453980666869804e-10	-3.5823273211529973e-13

Compiler

Compiled 172 to 208 computations (-20.9% saved)

bsearch24.0ms (0.3%)

Memory

29.8MiB live, 29.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	9.345755920510766e-55	7.038964679021376e-53
1.0ms	-3.453980666869804e-10	-3.5823273211529973e-13

Compiler

Compiled 132 to 192 computations (-45.5% saved)

simplify61.0ms (0.8%)

Memory

-25.2MiB live, 52.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	305
1	62	305
2	67	305
3	69	305
4	70	305

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 x #s(literal -1/2 binary64)) (.f64 (.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y))) (if (<=.f64 x #s(literal 19999999999999999271792589930496 binary64)) (.f64 (/.f64 y (-.f64 x y)) (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y)))))
(if (<=.f64 x #s(literal -3270774259330231/90854840536950861318665475986000566794205170085914757535186274897579911014174740415773881339220445695095315200783272241691825203576832 binary64)) (.f64 (.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y))) (if (<=.f64 x #s(literal 8573045793650349/2449441655328671218473925200700819802261115891310932980616707775308160183158275122807205904404441104841876294862561960570988912251863537292521360689146388717906188066642938460312627143172697498123763712 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64))) (.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y)))))
(if (<=.f64 x #s(literal -4951760157141521/9903520314283042199192993792 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)) (if (<=.f64 x #s(literal 6686066773453359/107839786668602559178668060348078522694548577690162289924414440996864 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 -4951760157141521/9903520314283042199192993792 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)) (if (<=.f64 x #s(literal 6686066773453359/107839786668602559178668060348078522694548577690162289924414440996864 binary64)) #s(approx (/ ( (* x 2) y) (- x y)) (.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x)) #s(approx (/ ( (* x 2) y) (- x y)) (*.f64 y #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal -4951760157141521/9903520314283042199192993792 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)) (if (<=.f64 x #s(literal 6686066773453359/107839786668602559178668060348078522694548577690162289924414440996864 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 -4951760157141521/9903520314283042199192993792 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (.f64 y #s(literal 2 binary64))) (if (<=.f64 x #s(literal 6686066773453359/107839786668602559178668060348078522694548577690162289924414440996864 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 x #s(literal -1/2 binary64)) (.f64 (.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y))) (if (<=.f64 x #s(literal 19999999999999999271792589930496 binary64)) (.f64 (/.f64 y (-.f64 x y)) (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y)))))
(if (<=.f64 x #s(literal -1/2 binary64)) (.f64 (/.f64 x (-.f64 x y)) (.f64 #s(literal 2 binary64) y)) (if (<=.f64 x #s(literal 19999999999999999271792589930496 binary64)) (.f64 (.f64 #s(literal 2 binary64) x) (/.f64 y (-.f64 x y))) (.f64 (/.f64 x (-.f64 x y)) (.f64 #s(literal 2 binary64) y))))
(if (<=.f64 x #s(literal -3270774259330231/90854840536950861318665475986000566794205170085914757535186274897579911014174740415773881339220445695095315200783272241691825203576832 binary64)) (.f64 (.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y))) (if (<=.f64 x #s(literal 8573045793650349/2449441655328671218473925200700819802261115891310932980616707775308160183158275122807205904404441104841876294862561960570988912251863537292521360689146388717906188066642938460312627143172697498123763712 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64))) (.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y)))))
(if (<=.f64 x #s(literal -3270774259330231/90854840536950861318665475986000566794205170085914757535186274897579911014174740415773881339220445695095315200783272241691825203576832 binary64)) (.f64 (/.f64 x (-.f64 x y)) (.f64 #s(literal 2 binary64) y)) (if (<=.f64 x #s(literal 8573045793650349/2449441655328671218473925200700819802261115891310932980616707775308160183158275122807205904404441104841876294862561960570988912251863537292521360689146388717906188066642938460312627143172697498123763712 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (.f64 #s(literal -2 binary64) (fma.f64 (/.f64 x y) x x))) (.f64 (/.f64 x (-.f64 x y)) (*.f64 #s(literal 2 binary64) y))))
(if (<=.f64 x #s(literal -4951760157141521/9903520314283042199192993792 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)) (if (<=.f64 x #s(literal 6686066773453359/107839786668602559178668060348078522694548577690162289924414440996864 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 -4951760157141521/9903520314283042199192993792 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)) (if (<=.f64 x #s(literal 6686066773453359/107839786668602559178668060348078522694548577690162289924414440996864 binary64)) #s(approx (/ ( (* x 2) y) (- x y)) (.f64 #s(literal -2 binary64) (fma.f64 (/.f64 x y) x x))) #s(approx (/ ( (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y))))
(if (<=.f64 x #s(literal -4951760157141521/9903520314283042199192993792 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)) (if (<=.f64 x #s(literal 6686066773453359/107839786668602559178668060348078522694548577690162289924414440996864 binary64)) #s(approx (/ ( (* x 2) y) (- x y)) (.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x)) #s(approx (/ ( (* x 2) y) (- x y)) (*.f64 y #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal -4951760157141521/9903520314283042199192993792 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)) (if (<=.f64 x #s(literal 6686066773453359/107839786668602559178668060348078522694548577690162289924414440996864 binary64)) #s(approx (/ ( (* x 2) y) (- x y)) (.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x)) #s(approx (/ ( (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y))))
(if (<=.f64 x #s(literal -4951760157141521/9903520314283042199192993792 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)) (if (<=.f64 x #s(literal 6686066773453359/107839786668602559178668060348078522694548577690162289924414440996864 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 -4951760157141521/9903520314283042199192993792 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)) (if (<=.f64 x #s(literal 6686066773453359/107839786668602559178668060348078522694548577690162289924414440996864 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))))
(if (<=.f64 x #s(literal -4951760157141521/9903520314283042199192993792 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (.f64 y #s(literal 2 binary64))) (if (<=.f64 x #s(literal 6686066773453359/107839786668602559178668060348078522694548577690162289924414440996864 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 -4951760157141521/9903520314283042199192993792 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (.f64 #s(literal 2 binary64) y)) (if (<=.f64 x #s(literal 6686066773453359/107839786668602559178668060348078522694548577690162289924414440996864 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))

soundness917.0ms (12.4%)

Memory

8.7MiB live, 406.1MiB 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
0	237	2919
1	708	2829
2	1947	2702
3	5732	2686
0	8663	2462
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×	node limit
1×	iter limit

Compiler

Compiled 314 to 147 computations (53.2% saved)

preprocess161.0ms (2.2%)

Memory: 15.3MiB live, 91.1MiB allocated
Compiler: Compiled 446 to 142 computations (68.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze14.0ms (0.2%)

sample1.3s (17.8%)

explain91.0ms (1.2%)

preprocess248.0ms (3.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify56.0ms (0.8%)

localize79.0ms (1.1%)

series9.0ms (0.1%)

simplify339.0ms (4.6%)

rewrite274.0ms (3.7%)

eval145.0ms (2%)

prune14.0ms (0.2%)

simplify340.0ms (4.6%)

localize62.0ms (0.8%)

series59.0ms (0.8%)

simplify227.0ms (3.1%)

rewrite213.0ms (2.9%)

eval335.0ms (4.5%)

prune74.0ms (1%)

simplify299.0ms (4%)

localize141.0ms (1.9%)

series54.0ms (0.7%)

simplify137.0ms (1.9%)

rewrite215.0ms (2.9%)

eval449.0ms (6.1%)

prune59.0ms (0.8%)

simplify117.0ms (1.6%)

localize43.0ms (0.6%)

series6.0ms (0.1%)

simplify437.0ms (5.9%)

rewrite108.0ms (1.5%)

eval91.0ms (1.2%)

prune11.0ms (0.1%)

regimes44.0ms (0.6%)

regimes31.0ms (0.4%)

regimes13.0ms (0.2%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes5.0ms (0.1%)

bsearch8.0ms (0.1%)

bsearch24.0ms (0.3%)

bsearch25.0ms (0.3%)

bsearch2.0ms (0%)

bsearch12.0ms (0.2%)

bsearch24.0ms (0.3%)

simplify61.0ms (0.8%)

soundness917.0ms (12.4%)

preprocess161.0ms (2.2%)

end0.0ms (0%)

Profiling