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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze12.0ms (0.2%)

Memory

14.4MiB live, 14.4MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 11 to 9 computations (18.2% saved)

sample721.0ms (12.6%)

Memory

49.6MiB live, 1 023.6MiB allocated

Samples

437.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 271.0ms

ival-mult: 150.0ms (55.4% of total)

ival-div: 55.0ms (20.3% of total)

ival-sub: 52.0ms (19.2% of total)

ival-true: 6.0ms (2.2% of total)

exact: 4.0ms (1.5% of total)

ival-assert: 3.0ms (1.1% of total)

Bogosity

explain101.0ms (1.8%)

Memory

-5.5MiB live, 119.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
59	-	1	(4.1018565697313314e-135 -4.59298624270179e-188)	`(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))`
0	-	0	-	`(*.f64 x #s(literal 2 binary64))`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`y`
0	-	0	-	`(-.f64 x y)`
0	-	0	-	`(.f64 (.f64 x #s(literal 2 binary64)) y)`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))`	o/n	33	0
↳	`(.f64 (.f64 x #s(literal 2 binary64)) y)`	overflow	33
`/.f64`	`(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))`	u/n	25	0
↳	`(.f64 (.f64 x #s(literal 2 binary64)) y)`	underflow	25

Confusion

	Predicted +	Predicted -
+	58	1
-	0	197

Precision

1.0

Recall

0.9830508474576272

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	58	0	1
-	0	0	197

Precision?

1.0

Recall?

0.9830508474576272

Freqs

test

number	freq
0	198
1	58

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

41.0ms

512×

valid

Compiler

Compiled 61 to 25 computations (59% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-mult: 21.0ms (75.5% of total)

ival-sub: 3.0ms (10.8% of total)

ival-div: 3.0ms (10.8% of total)

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

exact: 0.0ms (0% of total)

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

preprocess169.0ms (3%)

Memory

0.5MiB live, 119.7MiB allocated

Algorithm

1×	egg-herbie

Rules

962×	`times-frac`
882×	`associate-r`
840×	`times-frac`
788×	`distribute-lft-in`
730×	`distribute-rgt-in`

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

Compiler

Compiled 11 to 7 computations (36.4% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	78.3%	(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))

Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify113.0ms (2%)

Memory

-26.9MiB live, 49.8MiB 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))

Rules

840×	`times-frac`
672×	`lower-fma.f64`
672×	`lower-fma.f32`
640×	`lower-*.f32`
636×	`lower-*.f64`

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

localize20.0ms (0.3%)

Memory

27.5MiB live, 27.5MiB 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	13.890951580457497	(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))

Samples

13.0ms

256×

valid

Compiler

Compiled 25 to 9 computations (64% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-mult: 3.0ms (45.9% of total)

ival-div: 2.0ms (30.6% of total)

ival-sub: 1.0ms (15.3% of total)

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

exact: 0.0ms (0% of total)

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

series141.0ms (2.5%)

Memory

-24.8MiB live, 12.8MiB 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 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 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 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 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) (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) (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 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 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 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 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 (* 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 (* 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 (* 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 (* 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 (* 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 (* -1 y) (taylor 0 x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (- x y) (taylor 0 x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (- x y) (taylor 0 x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (- x y) (taylor 0 x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ y x)))) (taylor inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ y x)))) (taylor inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ y x)))) (taylor inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ x y) 1)) (taylor inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ x y) 1)) (taylor inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ x y) 1)) (taylor inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor -inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1 (* -1 (/ x y))))) (taylor -inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1 (* -1 (/ x y))))) (taylor -inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1 (* -1 (/ x y))))) (taylor -inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())

Calls

21 calls:

Time	Variable		Point	Expression
133.0ms	x	@	0	(* (* x 2) y)
1.0ms	x	@	inf	(* (* x 2) y)
0.0ms	x	@	inf	(/ (* (* x 2) y) (- x y))
0.0ms	y	@	inf	(* (* x 2) y)
0.0ms	y	@	inf	(/ (* (* x 2) y) (- x y))

simplify274.0ms (4.8%)

Memory

38.2MiB live, 347.4MiB allocated

Algorithm

1×	egg-herbie

Rules

14 398×	`lower-fma.f64`
14 398×	`lower-fma.f32`
5 052×	`lower-*.f64`
5 052×	`lower-*.f32`
1 978×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	136	557
1	378	543
2	1013	523
3	3099	517
4	6414	517
0	8134	486

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 81

Calls

Call 1

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

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

rewrite475.0ms (8.3%)

Memory

-9.1MiB live, 347.6MiB allocated

Rules

5 632×	`lower-/.f32`
5 630×	`lower-/.f64`
3 830×	`lower-*.f32`
3 826×	`lower-*.f64`
2 056×	`lower--.f32`

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

eval64.0ms (1.1%)

Memory: 12.5MiB live, 122.2MiB allocated
Compiler: Compiled 13 445 to 1 314 computations (90.2% saved)

prune133.0ms (2.3%)

Memory

-12.0MiB live, 165.0MiB allocated

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	481	5	486
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	481	6	487

Accuracy

100.0%

Counts

487 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	78.3%	(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))
▶	91.5%	(.f64 (/.f64 (.f64 #s(literal 2 binary64) y) (-.f64 x y)) x)
▶	46.7%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 y (fma.f64 y (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))))
▶	47.6%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 y #s(literal 2 binary64)))
▶	53.2%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) (fma.f64 x (/.f64 x y) x)))
▶	53.7%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x))

Compiler

Compiled 101 to 61 computations (39.6% saved)

simplify231.0ms (4%)

Memory

4.0MiB live, 112.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Rules

2 256×	`lower-fma.f32`
2 252×	`lower-fma.f64`
1 648×	`lower-*.f32`
1 636×	`lower-*.f64`
768×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	137
0	38	137
1	71	137
2	120	137
3	169	137
4	210	137
5	337	137
6	649	137
7	1342	137
8	2566	137
9	3329	137
10	3577	137
11	3669	137
12	3688	137
13	3696	137
14	3971	137
15	4083	137
16	4091	137
17	4091	137
18	4091	137
19	4091	137
20	4091	137
21	4163	137
22	4686	137
0	4686	137

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize92.0ms (1.6%)

Memory

-5.9MiB live, 123.9MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 #s(literal 2 binary64) x)
accuracy	0.08203125	(*.f64 y (fma.f64 y (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))
accuracy	0.1015625	(fma.f64 y (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))
accuracy	34.142070548537866	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 y (fma.f64 y (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))))
accuracy	0	(/.f64 x y)
accuracy	0	(*.f64 #s(literal -2 binary64) (fma.f64 x (/.f64 x y) x))
accuracy	0.05078125	(fma.f64 x (/.f64 x y) x)
accuracy	29.943863984705207	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) (fma.f64 x (/.f64 x y) x)))
accuracy	0	(*.f64 y #s(literal 2 binary64))
accuracy	33.549300486319744	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 y #s(literal 2 binary64)))
accuracy	0	(*.f64 #s(literal -2 binary64) x)
accuracy	29.622868972708922	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x))
accuracy	0	(-.f64 x y)
accuracy	0	(*.f64 #s(literal 2 binary64) y)
accuracy	0.01171875	(/.f64 (*.f64 #s(literal 2 binary64) y) (-.f64 x y))
accuracy	5.409910296670605	(.f64 (/.f64 (.f64 #s(literal 2 binary64) y) (-.f64 x y)) x)

Samples

71.0ms

256×

valid

Compiler

Compiled 117 to 23 computations (80.3% saved)

Precisions

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

ival-mult: 31.0ms (65.4% of total)

ival-add: 8.0ms (16.9% of total)

ival-div: 7.0ms (14.8% of total)

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

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

exact: 0.0ms (0% of total)

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

series31.0ms (0.5%)

Memory

-14.5MiB live, 23.4MiB allocated

Counts

16 → 336

Calls

Call 1

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

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

Calls

84 calls:

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

simplify333.0ms (5.8%)

Memory

-29.0MiB live, 352.7MiB allocated

Algorithm

1×	egg-herbie

Rules

14 624×	`lower-fma.f64`
14 624×	`lower-fma.f32`
5 522×	`lower-*.f64`
5 522×	`lower-*.f32`
1 434×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	218	3010
1	634	2908
2	1766	2761
3	5679	2751
0	8261	2512

Stop Event

1×	iter limit
1×	node limit

Counts

336 → 330

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

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

rewrite258.0ms (4.5%)

Memory

22.8MiB live, 456.8MiB allocated

Rules

5 686×	`lower-fma.f32`
5 682×	`lower-fma.f64`
5 424×	`lower-*.f32`
5 412×	`lower-*.f64`
4 268×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	124
0	38	124
1	132	124
2	788	124
0	8341	124

Stop Event

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

Counts

16 → 660

Calls

Call 1

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

Outputs
(+.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 y x)) (.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) (-.f64 x y))) (.f64 x x)) (.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 y x)) (.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) (-.f64 x y))) (.f64 y (+.f64 y x))))
(+.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 y x)) (.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) (-.f64 x y))) (.f64 y (+.f64 y x))) (.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 y x)) (.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) (-.f64 x y))) (.f64 x x)))
(+.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 y x)) (.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) (-.f64 x y))) (fma.f64 x x (.f64 y y))) (.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 y x)) (.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) (-.f64 x y))) (.f64 y x)))
(+.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 y x)) (.f64 (-.f64 x y) (+.f64 y x))) y) (.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 y x)) (.f64 (-.f64 x y) (+.f64 y x))) x))
(+.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 y x)) (.f64 (-.f64 x y) (+.f64 y x))) x) (.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 y x)) (.f64 (-.f64 x y) (+.f64 y x))) y))
(+.f64 (.f64 (.f64 x x) (/.f64 (.f64 #s(literal 2 binary64) (.f64 y x)) (.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) (-.f64 x y)))) (.f64 (.f64 y (+.f64 y x)) (/.f64 (.f64 #s(literal 2 binary64) (.f64 y x)) (.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) (-.f64 x y)))))
(+.f64 (.f64 (.f64 y (+.f64 y x)) (/.f64 (.f64 #s(literal 2 binary64) (.f64 y x)) (.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) (-.f64 x y)))) (.f64 (.f64 x x) (/.f64 (.f64 #s(literal 2 binary64) (.f64 y x)) (.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) (-.f64 x y)))))
(+.f64 (.f64 (fma.f64 x x (.f64 y y)) (/.f64 (.f64 #s(literal 2 binary64) (.f64 y x)) (.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) (-.f64 x y)))) (.f64 (.f64 y x) (/.f64 (.f64 #s(literal 2 binary64) (.f64 y x)) (.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) (-.f64 x y)))))
(+.f64 (.f64 y (/.f64 (.f64 #s(literal 2 binary64) (.f64 y x)) (.f64 (-.f64 x y) (+.f64 y x)))) (.f64 x (/.f64 (.f64 #s(literal 2 binary64) (.f64 y x)) (.f64 (-.f64 x y) (+.f64 y x)))))
(+.f64 (.f64 x (/.f64 (.f64 #s(literal 2 binary64) (.f64 y x)) (.f64 (-.f64 x y) (+.f64 y x)))) (.f64 y (/.f64 (.f64 #s(literal 2 binary64) (.f64 y x)) (.f64 (-.f64 x y) (+.f64 y x)))))
(exp.f64 (.f64 (log.f64 (/.f64 (-.f64 x y) (.f64 #s(literal 2 binary64) (*.f64 y x)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (.f64 #s(literal 2 binary64) (.f64 y x)) (-.f64 y x)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 y x)) (/.f64 (.f64 #s(literal 2 binary64) (.f64 y x)) (-.f64 y x)))
(fma.f64 y (/.f64 (.f64 #s(literal 2 binary64) (.f64 y x)) (.f64 (-.f64 x y) (+.f64 y x))) (.f64 x (/.f64 (.f64 #s(literal 2 binary64) (.f64 y x)) (*.f64 (-.f64 x y) (+.f64 y x)))))
(fma.f64 x (/.f64 (.f64 #s(literal 2 binary64) (.f64 y x)) (.f64 (-.f64 x y) (+.f64 y x))) (.f64 y (/.f64 (.f64 #s(literal 2 binary64) (.f64 y x)) (*.f64 (-.f64 x y) (+.f64 y x)))))
(fma.f64 (.f64 x x) (/.f64 (.f64 #s(literal 2 binary64) (.f64 y x)) (.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) (-.f64 x y))) (.f64 (.f64 y (+.f64 y x)) (/.f64 (.f64 #s(literal 2 binary64) (.f64 y x)) (.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (-.f64 x y)))))
(fma.f64 (.f64 y (+.f64 y x)) (/.f64 (.f64 #s(literal 2 binary64) (.f64 y x)) (.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) (-.f64 x y))) (.f64 (.f64 x x) (/.f64 (.f64 #s(literal 2 binary64) (.f64 y x)) (.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (-.f64 x y)))))
(fma.f64 (fma.f64 x x (.f64 y y)) (/.f64 (.f64 #s(literal 2 binary64) (.f64 y x)) (.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) (-.f64 x y))) (.f64 (.f64 y x) (/.f64 (.f64 #s(literal 2 binary64) (.f64 y x)) (.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (-.f64 x y)))))
(fma.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 y x)) (.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) (-.f64 x y))) (.f64 x x) (.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 y x)) (.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) (-.f64 x y))) (*.f64 y (+.f64 y x))))
(fma.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 y x)) (.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) (-.f64 x y))) (.f64 y (+.f64 y x)) (.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 y x)) (.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) (-.f64 x y))) (*.f64 x x)))
(fma.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 y x)) (.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) (-.f64 x y))) (fma.f64 x x (.f64 y y)) (.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 y x)) (.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) (-.f64 x y))) (*.f64 y x)))
(fma.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 y x)) (.f64 (-.f64 x y) (+.f64 y x))) y (.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 y x)) (*.f64 (-.f64 x y) (+.f64 y x))) x))
(fma.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 y x)) (.f64 (-.f64 x y) (+.f64 y x))) x (.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 y x)) (*.f64 (-.f64 x y) (+.f64 y x))) y))
(neg.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 y x)) (-.f64 y x)))
(neg.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) y) (-.f64 y x)) x))
(neg.f64 (.f64 x (/.f64 (.f64 #s(literal 2 binary64) y) (-.f64 y x))))
(neg.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) (*.f64 y x)) (-.f64 y x))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 x y) (.f64 #s(literal 2 binary64) (.f64 y x)))))
(/.f64 x (/.f64 (*.f64 (-.f64 x y) #s(literal 1/2 binary64)) y))
(/.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 x y) y))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 y x)) (-.f64 x y))
(/.f64 (neg.f64 x) (/.f64 (-.f64 x y) (*.f64 y #s(literal -2 binary64))))
(/.f64 (.f64 y (.f64 x #s(literal -2 binary64))) (-.f64 y x))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (.f64 #s(literal 2 binary64) (.f64 y x))))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) (/.f64 #s(literal 1/2 binary64) (*.f64 y x)))
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 x y) (.f64 y (.f64 x #s(literal -2 binary64)))))
(/.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 y x)) (.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y x) (*.f64 x x))))
(/.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 y x)) (*.f64 (-.f64 x y) (+.f64 y x))) (/.f64 #s(literal 1 binary64) (+.f64 y x)))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) y) (.f64 x (fma.f64 y (+.f64 y x) (.f64 x x)))) (.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) (-.f64 x y)))
(/.f64 (.f64 x (.f64 #s(literal 2 binary64) (.f64 y (+.f64 y x)))) (.f64 (-.f64 x y) (+.f64 y x)))
(/.f64 (/.f64 x (-.f64 x y)) (/.f64 #s(literal 1/2 binary64) y))
(/.f64 (.f64 x #s(literal -1 binary64)) (/.f64 (-.f64 x y) (.f64 y #s(literal -2 binary64))))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 y x)) (fma.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x))) (.f64 (.f64 y (+.f64 y x)) (.f64 (.f64 y y) (.f64 (+.f64 y x) (+.f64 y x)))))) (.f64 (.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) (-.f64 x y)) (fma.f64 x (.f64 x (.f64 x x)) (.f64 (.f64 y (+.f64 y x)) (-.f64 (.f64 y (+.f64 y x)) (*.f64 x x))))))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 y x)) (.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) (-.f64 (.f64 x x) (.f64 y (+.f64 y x))))) (.f64 (.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) (-.f64 x y)) (-.f64 (.f64 x x) (.f64 y (+.f64 y x)))))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 y x)) (.f64 (-.f64 x y) (+.f64 y x))) (.f64 (.f64 (-.f64 x y) (+.f64 y x)) (-.f64 x y)))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 y x)) (fma.f64 x (.f64 x x) (.f64 y (.f64 y y)))) (.f64 (.f64 (-.f64 x y) (+.f64 y x)) (fma.f64 x x (*.f64 y (-.f64 y x)))))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) (/.f64 (-.f64 x y) y))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) x)) (/.f64 (-.f64 x y) y))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 y (*.f64 x #s(literal -2 binary64)))) (-.f64 y x))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (*.f64 y x)) #s(literal -1 binary64)) (-.f64 y x))
(/.f64 (.f64 (.f64 y (*.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)) (-.f64 y x))
(/.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 y x)) (.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) (-.f64 x y))) (fma.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x))) (.f64 (.f64 y (+.f64 y x)) (.f64 (.f64 y y) (.f64 (+.f64 y x) (+.f64 y x)))))) (fma.f64 x (.f64 x (.f64 x x)) (.f64 (.f64 y (+.f64 y x)) (-.f64 (.f64 y (+.f64 y x)) (.f64 x x)))))
(/.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 y x)) (.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) (-.f64 x y))) (.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) (-.f64 (.f64 x x) (.f64 y (+.f64 y x))))) (-.f64 (.f64 x x) (*.f64 y (+.f64 y x))))
(/.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 y x)) (.f64 (-.f64 x y) (+.f64 y x))) (*.f64 (-.f64 x y) (+.f64 y x))) (-.f64 x y))
(/.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 y x)) (.f64 (-.f64 x y) (+.f64 y x))) (fma.f64 x (.f64 x x) (.f64 y (.f64 y y)))) (fma.f64 x x (.f64 y (-.f64 y x))))
(/.f64 (/.f64 (.f64 y (.f64 x #s(literal -2 binary64))) #s(literal -1 binary64)) (-.f64 x y))
(pow.f64 (/.f64 (-.f64 x y) (.f64 #s(literal 2 binary64) (.f64 y x))) #s(literal -1 binary64))
(.f64 #s(literal 2 binary64) (.f64 y (/.f64 x (-.f64 x y))))
(.f64 y (.f64 #s(literal 2 binary64) (/.f64 x (-.f64 x y))))
(.f64 y (.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) (*.f64 #s(literal 2 binary64) x)))
(.f64 y (.f64 (/.f64 #s(literal 2 binary64) (-.f64 x y)) x))
(.f64 y (.f64 (*.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 y x))))
(.f64 (.f64 #s(literal 2 binary64) y) (/.f64 x (-.f64 x y)))
(.f64 x (/.f64 (.f64 #s(literal 2 binary64) y) (-.f64 x y)))
(.f64 (/.f64 (.f64 #s(literal 2 binary64) y) (-.f64 x y)) x)
(.f64 (.f64 #s(literal 2 binary64) x) (/.f64 y (-.f64 x y)))
(.f64 (.f64 #s(literal 2 binary64) (*.f64 y x)) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(.f64 (/.f64 (.f64 #s(literal 2 binary64) (*.f64 y x)) (-.f64 x y)) #s(literal 1 binary64))
(.f64 (.f64 x #s(literal -2 binary64)) (*.f64 y (/.f64 #s(literal 1 binary64) (-.f64 y x))))
(.f64 (neg.f64 x) (/.f64 (.f64 #s(literal 2 binary64) y) (-.f64 y x)))
(.f64 (neg.f64 y) (.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 y x))))
(.f64 (.f64 y #s(literal -2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)) x))
(.f64 (.f64 y (*.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 y x)))
(.f64 (.f64 y x) (/.f64 #s(literal 2 binary64) (-.f64 x y)))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) (*.f64 y x)) (-.f64 x y)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) (.f64 #s(literal 2 binary64) (*.f64 y x)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) (pow.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y x)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) (/.f64 x (/.f64 #s(literal 1/2 binary64) y)))
(.f64 (/.f64 y (-.f64 x y)) (.f64 #s(literal 2 binary64) x))
(.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal 2 binary64) (*.f64 y x)) (-.f64 y x)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)) (.f64 y (*.f64 x #s(literal -2 binary64))))
(.f64 (/.f64 y (.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) (-.f64 x y))) (/.f64 (.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y x) (*.f64 x x)))))
(.f64 (/.f64 y (.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) (-.f64 x y))) (.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) (.f64 #s(literal 2 binary64) x)))
(.f64 (/.f64 y (.f64 (-.f64 x y) (+.f64 y x))) (/.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 y x))))
(.f64 (/.f64 y (.f64 (-.f64 x y) (+.f64 y x))) (.f64 (+.f64 y x) (.f64 #s(literal 2 binary64) x)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) (-.f64 x y))) (.f64 (.f64 #s(literal 2 binary64) y) (.f64 x (fma.f64 y (+.f64 y x) (*.f64 x x)))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) (-.f64 x y))) (.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) (.f64 #s(literal 2 binary64) (*.f64 y x))))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 (+.f64 y x) (-.f64 y x))) (.f64 x (.f64 #s(literal 2 binary64) (*.f64 y (+.f64 y x)))))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 (+.f64 y x) (-.f64 y x))) (.f64 (+.f64 y x) (.f64 #s(literal 2 binary64) (*.f64 y x))))
(.f64 (/.f64 (.f64 y #s(literal -2 binary64)) (.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) (-.f64 y x))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y x) (*.f64 x x)))))
(.f64 (/.f64 (.f64 y #s(literal -2 binary64)) (.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) (-.f64 y x))) (.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) x))
(.f64 (/.f64 (.f64 #s(literal 2 binary64) y) (*.f64 (-.f64 x y) (+.f64 y x))) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 y x))))
(.f64 (/.f64 (.f64 #s(literal 2 binary64) y) (.f64 (-.f64 x y) (+.f64 y x))) (.f64 (+.f64 y x) x))
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(/.f64 (neg.f64 (fma.f64 y (.f64 y (/.f64 #s(literal 4 binary64) (.f64 x x))) #s(literal -4 binary64))) (fma.f64 #s(literal -2 binary64) (/.f64 y x) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (.f64 #s(literal 4 binary64) (.f64 y y)) (.f64 x x))) (+.f64 #s(literal 2 binary64) (/.f64 (.f64 y #s(literal -2 binary64)) x)))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 y y)) (.f64 x x)) (fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal -2 binary64))) (.f64 (fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal -2 binary64)) #s(literal 4 binary64))) (.f64 (fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal -2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal -2 binary64))))
(/.f64 (.f64 (fma.f64 (/.f64 (.f64 #s(literal 8 binary64) (.f64 y (.f64 y y))) (.f64 x (.f64 x x))) (/.f64 (.f64 (.f64 #s(literal 8 binary64) (.f64 y (.f64 y y))) (.f64 #s(literal 8 binary64) (.f64 y (.f64 y y)))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 512 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (/.f64 (.f64 (.f64 #s(literal 8 binary64) (.f64 y (.f64 y y))) (.f64 #s(literal 8 binary64) (.f64 y (.f64 y y)))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (-.f64 #s(literal 64 binary64) (/.f64 (.f64 (.f64 #s(literal 8 binary64) (.f64 y (.f64 y y))) #s(literal 8 binary64)) (.f64 x (.f64 x x))))) (-.f64 (fma.f64 y (.f64 y (/.f64 #s(literal 4 binary64) (.f64 x x))) #s(literal 4 binary64)) (.f64 #s(literal 4 binary64) (/.f64 y x)))))
(/.f64 (.f64 (+.f64 (/.f64 (.f64 (.f64 #s(literal 8 binary64) (.f64 y (.f64 y y))) (.f64 #s(literal 8 binary64) (.f64 y (.f64 y y)))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal -64 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))) #s(literal -8 binary64)) (-.f64 (fma.f64 y (.f64 y (/.f64 #s(literal 4 binary64) (.f64 x x))) #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (/.f64 y x)))))
(/.f64 (.f64 (+.f64 (/.f64 (.f64 (.f64 #s(literal 8 binary64) (.f64 y (.f64 y y))) (.f64 #s(literal 8 binary64) (.f64 y (.f64 y y)))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal -64 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (/.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 y y)) (.f64 #s(literal 4 binary64) (.f64 y y))) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 16 binary64) (/.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 y y)) #s(literal 4 binary64)) (.f64 x x)))) (fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal -2 binary64))))
(/.f64 (.f64 (+.f64 (/.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 y y)) (.f64 #s(literal 4 binary64) (.f64 y y))) (.f64 x (.f64 x (.f64 x x)))) #s(literal -16 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 y (.f64 y (/.f64 #s(literal 4 binary64) (.f64 x x))) #s(literal 4 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal -2 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 y (.f64 (.f64 y y) (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x x)))) #s(literal 8 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 y (.f64 y (/.f64 #s(literal 4 binary64) (.f64 x x))) #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (/.f64 y x))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 y (.f64 y (/.f64 #s(literal 4 binary64) (.f64 x x))) #s(literal -4 binary64)))) (neg.f64 (fma.f64 #s(literal -2 binary64) (/.f64 y x) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (/.f64 (.f64 #s(literal 4 binary64) (.f64 y y)) (.f64 x x)))) (neg.f64 (+.f64 #s(literal 2 binary64) (/.f64 (.f64 y #s(literal -2 binary64)) x))))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 y y)) (.f64 x x)) (fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal -2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 y y)) (.f64 x x)) (fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal -2 binary64))) (/.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 y y)) (.f64 x x)) (fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal -2 binary64))) (fma.f64 (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal -2 binary64))) (.f64 (/.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 y y)) (*.f64 x x)) (fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal -2 binary64)))))))
(/.f64 (-.f64 (.f64 (/.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 y y)) (.f64 x x)) (fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal -2 binary64))) (/.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 y y)) (.f64 x x)) (fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal -2 binary64)))) (.f64 (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal -2 binary64))))) (+.f64 (/.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 y y)) (*.f64 x x)) (fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal -2 binary64)))))
(/.f64 (.f64 (fma.f64 y (.f64 (.f64 y y) (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x x)))) #s(literal 8 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 y (.f64 y (/.f64 #s(literal 4 binary64) (.f64 x x))) #s(literal 4 binary64)) (.f64 #s(literal 4 binary64) (/.f64 y x))))
(/.f64 (.f64 (fma.f64 y (.f64 y (/.f64 #s(literal 4 binary64) (*.f64 x x))) #s(literal -4 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal -2 binary64)))
(/.f64 (.f64 (fma.f64 (/.f64 (.f64 #s(literal 8 binary64) (.f64 y (.f64 y y))) (.f64 x (.f64 x x))) (/.f64 (.f64 (.f64 #s(literal 8 binary64) (.f64 y (.f64 y y))) (.f64 #s(literal 8 binary64) (.f64 y (.f64 y y)))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 512 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y (.f64 y (/.f64 #s(literal 4 binary64) (.f64 x x))) #s(literal 4 binary64)) (.f64 #s(literal 4 binary64) (/.f64 y x))))) (+.f64 (/.f64 (.f64 (.f64 #s(literal 8 binary64) (.f64 y (.f64 y y))) (.f64 #s(literal 8 binary64) (.f64 y (.f64 y y)))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (-.f64 #s(literal 64 binary64) (/.f64 (.f64 (.f64 #s(literal 8 binary64) (.f64 y (.f64 y y))) #s(literal 8 binary64)) (.f64 x (*.f64 x x))))))
(/.f64 (.f64 (+.f64 (/.f64 (.f64 (.f64 #s(literal 8 binary64) (.f64 y (.f64 y y))) (.f64 #s(literal 8 binary64) (.f64 y (.f64 y y)))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal -64 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y (.f64 y (/.f64 #s(literal 4 binary64) (.f64 x x))) #s(literal 4 binary64)) (.f64 #s(literal 4 binary64) (/.f64 y x))))) (fma.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))) #s(literal -8 binary64)))
(/.f64 (.f64 (+.f64 (/.f64 (.f64 (.f64 #s(literal 8 binary64) (.f64 y (.f64 y y))) (.f64 #s(literal 8 binary64) (.f64 y (.f64 y y)))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal -64 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal -2 binary64)))) (+.f64 (/.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 y y)) (.f64 #s(literal 4 binary64) (.f64 y y))) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 16 binary64) (/.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 y y)) #s(literal 4 binary64)) (*.f64 x x)))))
(/.f64 (.f64 (+.f64 (/.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 y y)) (.f64 #s(literal 4 binary64) (.f64 y y))) (.f64 x (.f64 x (.f64 x x)))) #s(literal -16 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal -2 binary64)))) (fma.f64 y (.f64 y (/.f64 #s(literal 4 binary64) (*.f64 x x))) #s(literal 4 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 y (.f64 (.f64 y y) (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x x)))) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y (.f64 y (/.f64 #s(literal 4 binary64) (.f64 x x))) #s(literal 4 binary64)) (.f64 #s(literal 4 binary64) (/.f64 y x)))))
(.f64 (fma.f64 y (.f64 (.f64 y y) (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x x)))) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 y (fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal -2 binary64)))))))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal 2 binary64)))
(.f64 (fma.f64 y (.f64 y (/.f64 #s(literal 4 binary64) (*.f64 x x))) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal -2 binary64))))
(.f64 (neg.f64 (fma.f64 y (.f64 (.f64 y y) (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x x)))) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 y (.f64 y (/.f64 #s(literal 4 binary64) (.f64 x x))) #s(literal 4 binary64)) (.f64 #s(literal 4 binary64) (/.f64 y x))))))
(.f64 (neg.f64 (fma.f64 y (.f64 y (/.f64 #s(literal 4 binary64) (*.f64 x x))) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 y x) #s(literal 2 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y (.f64 y (/.f64 #s(literal 4 binary64) (.f64 x x))) #s(literal 4 binary64)) (.f64 #s(literal 4 binary64) (/.f64 y x)))) (fma.f64 y (.f64 (.f64 y y) (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x x)))) #s(literal 8 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal -2 binary64))) (fma.f64 y (.f64 y (/.f64 #s(literal 4 binary64) (*.f64 x x))) #s(literal -4 binary64)))
(.f64 (-.f64 #s(literal 4 binary64) (/.f64 (.f64 #s(literal 4 binary64) (.f64 y y)) (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 y #s(literal -2 binary64)) x))))
(.f64 (/.f64 (fma.f64 y (.f64 y (/.f64 #s(literal 4 binary64) (.f64 x x))) #s(literal -4 binary64)) (fma.f64 y (.f64 y (/.f64 #s(literal 4 binary64) (*.f64 x x))) #s(literal -4 binary64))) (fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal 2 binary64)))
(.f64 (/.f64 (fma.f64 y (.f64 (.f64 y y) (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x x)))) #s(literal 8 binary64)) (+.f64 (/.f64 (.f64 (.f64 #s(literal 8 binary64) (.f64 y (.f64 y y))) (.f64 #s(literal 8 binary64) (.f64 y (.f64 y y)))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 (-.f64 #s(literal 4 binary64) (.f64 #s(literal 4 binary64) (/.f64 y x))) (.f64 (-.f64 #s(literal 4 binary64) (.f64 #s(literal 4 binary64) (/.f64 y x))) (-.f64 #s(literal 4 binary64) (.f64 #s(literal 4 binary64) (/.f64 y x))))))) (+.f64 (/.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 y y)) (.f64 #s(literal 4 binary64) (.f64 y y))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (-.f64 #s(literal 4 binary64) (.f64 #s(literal 4 binary64) (/.f64 y x))) (-.f64 (-.f64 #s(literal 4 binary64) (.f64 #s(literal 4 binary64) (/.f64 y x))) (/.f64 (.f64 #s(literal 4 binary64) (.f64 y y)) (.f64 x x))))))
(.f64 (/.f64 (fma.f64 y (.f64 (.f64 y y) (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x x)))) #s(literal 8 binary64)) (.f64 (-.f64 (fma.f64 y (.f64 y (/.f64 #s(literal 4 binary64) (.f64 x x))) #s(literal 4 binary64)) (.f64 #s(literal 4 binary64) (/.f64 y x))) (+.f64 (fma.f64 y (.f64 y (/.f64 #s(literal 4 binary64) (.f64 x x))) #s(literal -4 binary64)) (.f64 #s(literal 4 binary64) (/.f64 y x))))) (+.f64 (fma.f64 y (.f64 y (/.f64 #s(literal 4 binary64) (.f64 x x))) #s(literal -4 binary64)) (*.f64 #s(literal 4 binary64) (/.f64 y x))))
(.f64 (/.f64 (fma.f64 y (.f64 y (/.f64 #s(literal 4 binary64) (.f64 x x))) #s(literal -4 binary64)) (fma.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))) #s(literal -8 binary64))) (+.f64 (fma.f64 y (.f64 y (/.f64 #s(literal 4 binary64) (.f64 x x))) #s(literal 4 binary64)) (.f64 #s(literal 4 binary64) (/.f64 y x))))
(exp.f64 (.f64 (log.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -2 binary64) x))
(neg.f64 (/.f64 #s(literal -2 binary64) x))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x)))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))
(/.f64 #s(literal 2 binary64) x)
(/.f64 #s(literal -2 binary64) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64)))
(pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -2 binary64))
(.f64 (pow.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1/2 binary64)))

eval308.0ms (5.4%)

Memory: 9.6MiB live, 293.0MiB allocated
Compiler: Compiled 21 033 to 1 908 computations (90.9% saved)

prune484.0ms (8.5%)

Memory

-1.4MiB live, 236.8MiB allocated

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	988	2	990
Fresh	0	0	0
Picked	1	4	5
Done	0	1	1
Total	989	7	996

Accuracy

100.0%

Counts

996 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	78.3%	(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))
✓	91.5%	(.f64 (/.f64 (.f64 #s(literal 2 binary64) y) (-.f64 x y)) x)
▶	53.2%	(.f64 #s(approx (/ ( 2 y) (- x y)) (fma.f64 x (/.f64 #s(literal -2 binary64) y) #s(literal -2 binary64))) x)
▶	39.1%	(.f64 #s(approx (/ ( 2 y) (- x y)) (/.f64 (*.f64 #s(literal 2 binary64) y) x)) x)
✓	46.7%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 y (fma.f64 y (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))))
✓	47.6%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 y #s(literal 2 binary64)))
✓	53.7%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x))

Compiler

Compiled 66 to 40 computations (39.4% saved)

simplify131.0ms (2.3%)

Memory

-4.5MiB live, 37.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Rules

816×	`lower-fma.f32`
814×	`lower-fma.f64`
688×	`lower-*.f32`
682×	`lower-*.f64`
366×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	81
0	22	81
1	35	81
2	48	81
3	58	81
4	68	81
5	114	81
6	186	81
7	329	81
8	704	81
9	1221	81
10	1650	81
11	1819	81
12	1888	81
13	1955	81
14	1965	81
0	1965	81

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize75.0ms (1.3%)

Memory

-18.7MiB live, 20.2MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 #s(literal -2 binary64) y)
accuracy	0.09375	(fma.f64 x (/.f64 #s(literal -2 binary64) y) #s(literal -2 binary64))
accuracy	5.409910296670605	(.f64 #s(approx (/ ( 2 y) (- x y)) (fma.f64 x (/.f64 #s(literal -2 binary64) y) #s(literal -2 binary64))) x)
accuracy	29.902110005527067	#s(approx (/ (* 2 y) (- x y)) (fma.f64 x (/.f64 #s(literal -2 binary64) y) #s(literal -2 binary64)))
accuracy	0	(/.f64 (*.f64 #s(literal 2 binary64) y) x)
accuracy	0	(*.f64 #s(literal 2 binary64) y)
accuracy	5.409910296670605	(.f64 #s(approx (/ ( 2 y) (- x y)) (/.f64 (*.f64 #s(literal 2 binary64) y) x)) x)
accuracy	33.64000277497476	#s(approx (/ (* 2 y) (- x y)) (/.f64 (*.f64 #s(literal 2 binary64) y) x))

Samples

21.0ms

256×

valid

Compiler

Compiled 58 to 14 computations (75.9% saved)

Precisions

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

ival-div: 5.0ms (38.7% of total)

ival-mult: 5.0ms (38.7% of total)

ival-sub: 1.0ms (7.7% of total)

ival-add: 1.0ms (7.7% of total)

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

exact: 0.0ms (0% of total)

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

series7.0ms (0.1%)

Memory

3.9MiB live, 3.9MiB allocated

Counts

8 → 168

Calls

Call 1

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

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

Calls

42 calls:

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

simplify316.0ms (5.5%)

Memory

24.9MiB live, 493.1MiB allocated

Algorithm

1×	egg-herbie

Rules

18 932×	`lower-fma.f64`
18 932×	`lower-fma.f32`
5 722×	`lower-*.f64`
5 722×	`lower-*.f32`
2 464×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	188	1716
1	537	1660
2	1498	1540
3	4158	1534
0	8245	1393

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 168

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

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

rewrite390.0ms (6.8%)

Memory

-21.9MiB live, 473.1MiB allocated

Rules

4 392×	`lower-*.f32`
4 386×	`lower-*.f64`
3 812×	`lower-fma.f32`
3 810×	`lower-fma.f64`
3 238×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	75
0	22	75
1	82	75
2	473	75
3	4974	75
0	8797	75

Stop Event

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

Counts

8 → 158

Calls

Call 1

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

Outputs
(.f64 x #s(approx (/ ( 2 y) (- x y)) (/.f64 (*.f64 #s(literal 2 binary64) y) x)))
(.f64 #s(approx (/ ( 2 y) (- x y)) (/.f64 (*.f64 #s(literal 2 binary64) y) x)) x)
#s(approx (/ (* 2 y) (- x y)) (/.f64 (*.f64 #s(literal 2 binary64) y) x))
(exp.f64 (.f64 (log.f64 (/.f64 x (.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 y #s(literal -2 binary64)) x))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 (*.f64 y #s(literal -2 binary64)) x))
(neg.f64 (/.f64 (*.f64 y #s(literal -2 binary64)) x))
(neg.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 y #s(literal -2 binary64)) x)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 x (*.f64 #s(literal 2 binary64) y))))
(/.f64 #s(literal 2 binary64) (/.f64 x y))
(/.f64 (*.f64 #s(literal 2 binary64) y) x)
(/.f64 (*.f64 y #s(literal -2 binary64)) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 #s(literal 2 binary64) y)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) y))
(/.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y #s(literal -2 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 y #s(literal -2 binary64))) (neg.f64 x))
(/.f64 (.f64 (.f64 y #s(literal -2 binary64)) #s(literal 1 binary64)) (neg.f64 x))
(/.f64 (/.f64 (*.f64 y #s(literal -2 binary64)) #s(literal -1 binary64)) x)
(pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal 1 binary64))
(pow.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal -1 binary64))
(pow.f64 (.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)) (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) #s(literal -1 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 2 binary64) x))
(.f64 y (.f64 #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) x)))
(.f64 (.f64 #s(literal 2 binary64) y) (/.f64 #s(literal 1 binary64) x))
(.f64 (/.f64 (.f64 #s(literal 2 binary64) y) x) #s(literal 1 binary64))
(*.f64 #s(literal -2 binary64) (/.f64 y (neg.f64 x)))
(*.f64 #s(literal -2 binary64) (/.f64 (neg.f64 y) x))
(.f64 #s(literal -2 binary64) (.f64 y (/.f64 #s(literal -1 binary64) x)))
(.f64 (.f64 y #s(literal -2 binary64)) (/.f64 #s(literal -1 binary64) x))
(.f64 (neg.f64 y) (.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) x)))
(*.f64 (neg.f64 y) (/.f64 #s(literal 2 binary64) (neg.f64 x)))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) y) x))
(.f64 (/.f64 #s(literal 1 binary64) x) (.f64 #s(literal 2 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y)))
(*.f64 (/.f64 y x) #s(literal 2 binary64))
(.f64 #s(literal -1 binary64) (/.f64 (.f64 y #s(literal -2 binary64)) x))
(.f64 (/.f64 #s(literal -1 binary64) x) (.f64 y #s(literal -2 binary64)))
(*.f64 (/.f64 #s(literal 2 binary64) x) y)
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) x))
(.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) y) x) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal 1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (*.f64 y #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) x))
(-.f64 #s(literal 0 binary64) (*.f64 y #s(literal -2 binary64)))
(neg.f64 (*.f64 y #s(literal -2 binary64)))
(*.f64 #s(literal 2 binary64) y)
(*.f64 y #s(literal 2 binary64))
(.f64 (.f64 #s(literal 2 binary64) y) #s(literal 1 binary64))
(*.f64 #s(literal -2 binary64) (neg.f64 y))
(*.f64 (neg.f64 y) #s(literal -2 binary64))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) y))
(.f64 #s(literal -1 binary64) (.f64 y #s(literal -2 binary64)))
(.f64 x #s(approx (/ ( 2 y) (- x y)) (fma.f64 x (/.f64 #s(literal -2 binary64) y) #s(literal -2 binary64))))
(.f64 #s(approx (/ ( 2 y) (- x y)) (fma.f64 x (/.f64 #s(literal -2 binary64) y) #s(literal -2 binary64))) x)
#s(approx (/ (* 2 y) (- x y)) (fma.f64 x (/.f64 #s(literal -2 binary64) y) #s(literal -2 binary64)))
(+.f64 #s(literal -2 binary64) (/.f64 x (*.f64 y #s(literal -1/2 binary64))))
(+.f64 (/.f64 x (*.f64 y #s(literal -1/2 binary64))) #s(literal -2 binary64))
(+.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 (fma.f64 x (/.f64 #s(literal -2 binary64) y) #s(literal 2 binary64)) (.f64 y y))) (neg.f64 (/.f64 #s(literal 4 binary64) (fma.f64 x (/.f64 #s(literal -2 binary64) y) #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 #s(literal -2 binary64) y) #s(literal -2 binary64)))) #s(literal -1 binary64)))
(-.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 (fma.f64 x (/.f64 #s(literal -2 binary64) y) #s(literal 2 binary64)) (.f64 y y))) (/.f64 #s(literal 4 binary64) (fma.f64 x (/.f64 #s(literal -2 binary64) y) #s(literal 2 binary64))))
(-.f64 (/.f64 #s(literal 4 binary64) (+.f64 #s(literal -2 binary64) (/.f64 x (.f64 y #s(literal 1/2 binary64))))) (/.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 y y)) (+.f64 #s(literal -2 binary64) (/.f64 x (*.f64 y #s(literal 1/2 binary64))))))
(fma.f64 #s(literal 2 binary64) (/.f64 x (neg.f64 y)) #s(literal -2 binary64))
(fma.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) y) x) #s(literal -2 binary64))
(fma.f64 x (/.f64 #s(literal -2 binary64) y) #s(literal -2 binary64))
(fma.f64 x (/.f64 (/.f64 (.f64 x #s(literal 4 binary64)) (.f64 y y)) (fma.f64 x (/.f64 #s(literal -2 binary64) y) #s(literal 2 binary64))) (neg.f64 (/.f64 #s(literal 4 binary64) (fma.f64 x (/.f64 #s(literal -2 binary64) y) #s(literal 2 binary64)))))
(fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -2 binary64))
(fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -2 binary64))
(fma.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 (/.f64 (.f64 x x) (.f64 y #s(literal -1/2 binary64))) (fma.f64 x (/.f64 #s(literal -2 binary64) y) #s(literal 2 binary64))) (neg.f64 (/.f64 #s(literal 4 binary64) (fma.f64 x (/.f64 #s(literal -2 binary64) y) #s(literal 2 binary64)))))
(fma.f64 (/.f64 x (.f64 y #s(literal -1/2 binary64))) (/.f64 (/.f64 x (.f64 y #s(literal -1/2 binary64))) (fma.f64 x (/.f64 #s(literal -2 binary64) y) #s(literal 2 binary64))) (neg.f64 (/.f64 #s(literal 4 binary64) (fma.f64 x (/.f64 #s(literal -2 binary64) y) #s(literal 2 binary64)))))
(fma.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 #s(literal -2 binary64) y) #s(literal 2 binary64))) (neg.f64 (/.f64 #s(literal 4 binary64) (fma.f64 x (/.f64 #s(literal -2 binary64) y) #s(literal 2 binary64)))))
(fma.f64 (.f64 x x) (/.f64 (/.f64 #s(literal 4 binary64) (.f64 y y)) (fma.f64 x (/.f64 #s(literal -2 binary64) y) #s(literal 2 binary64))) (neg.f64 (/.f64 #s(literal 4 binary64) (fma.f64 x (/.f64 #s(literal -2 binary64) y) #s(literal 2 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y #s(literal -1/2 binary64))) #s(literal -2 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal -2 binary64)) #s(literal -2 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x #s(literal -1/2 binary64)) #s(literal -2 binary64))
(fma.f64 (*.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) y) #s(literal -2 binary64))
(fma.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 #s(literal -1 binary64) y) #s(literal -2 binary64))
(fma.f64 (/.f64 #s(literal 4 binary64) (.f64 y y)) (/.f64 (.f64 x x) (fma.f64 x (/.f64 #s(literal -2 binary64) y) #s(literal 2 binary64))) (neg.f64 (/.f64 #s(literal 4 binary64) (fma.f64 x (/.f64 #s(literal -2 binary64) y) #s(literal 2 binary64)))))
(fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64))
(fma.f64 (/.f64 (.f64 x #s(literal 4 binary64)) (.f64 y y)) (/.f64 x (fma.f64 x (/.f64 #s(literal -2 binary64) y) #s(literal 2 binary64))) (neg.f64 (/.f64 #s(literal 4 binary64) (fma.f64 x (/.f64 #s(literal -2 binary64) y) #s(literal 2 binary64)))))
(fma.f64 (/.f64 (.f64 x x) (.f64 y #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal -2 binary64) y) (fma.f64 x (/.f64 #s(literal -2 binary64) y) #s(literal 2 binary64))) (neg.f64 (/.f64 #s(literal 4 binary64) (fma.f64 x (/.f64 #s(literal -2 binary64) y) #s(literal 2 binary64)))))
(fma.f64 (.f64 (.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y) #s(literal -2 binary64))
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) y) #s(literal -2 binary64))
(fma.f64 (/.f64 x (neg.f64 y)) #s(literal 2 binary64) #s(literal -2 binary64))
(fma.f64 (/.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 y y)) (fma.f64 (.f64 x x) (/.f64 #s(literal 4 binary64) (*.f64 y y)) #s(literal -4 binary64))) (fma.f64 x (/.f64 #s(literal -2 binary64) y) #s(literal -2 binary64)) (neg.f64 (/.f64 #s(literal 4 binary64) (fma.f64 x (/.f64 #s(literal -2 binary64) y) #s(literal 2 binary64)))))
(fma.f64 (/.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 y y)) (fma.f64 #s(literal -8 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) #s(literal 8 binary64))) (fma.f64 x (/.f64 (.f64 x #s(literal 4 binary64)) (*.f64 y y)) (fma.f64 x (/.f64 #s(literal 4 binary64) y) #s(literal 4 binary64))) (neg.f64 (/.f64 #s(literal 4 binary64) (fma.f64 x (/.f64 #s(literal -2 binary64) y) #s(literal 2 binary64)))))
(fma.f64 (exp.f64 (log.f64 (*.f64 x #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) y) #s(literal -2 binary64))
(fma.f64 (exp.f64 (log.f64 #s(literal -2 binary64))) (exp.f64 (log.f64 (/.f64 x y))) #s(literal -2 binary64))
(neg.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 x (/.f64 #s(literal -8 binary64) (.f64 y (.f64 y y)))) #s(literal -8 binary64)) (neg.f64 (fma.f64 (/.f64 x (*.f64 y #s(literal -1/2 binary64))) (fma.f64 x (/.f64 #s(literal -2 binary64) y) #s(literal 2 binary64)) #s(literal 4 binary64)))))
(neg.f64 (/.f64 (fma.f64 (.f64 x x) (/.f64 #s(literal 4 binary64) (.f64 y y)) #s(literal -4 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x y) #s(literal -2 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (.f64 x x) (.f64 x (/.f64 #s(literal -8 binary64) (.f64 y (.f64 y y)))) #s(literal -8 binary64))) (fma.f64 (/.f64 x (*.f64 y #s(literal -1/2 binary64))) (fma.f64 x (/.f64 #s(literal -2 binary64) y) #s(literal 2 binary64)) #s(literal 4 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (.f64 x x) (/.f64 #s(literal 4 binary64) (.f64 y y)) #s(literal -4 binary64))) (fma.f64 x (/.f64 #s(literal -2 binary64) y) #s(literal 2 binary64))))
(/.f64 (fma.f64 (.f64 x x) (.f64 x (/.f64 #s(literal -8 binary64) (.f64 y (.f64 y y)))) #s(literal -8 binary64)) (fma.f64 (/.f64 x (*.f64 y #s(literal -1/2 binary64))) (fma.f64 x (/.f64 #s(literal -2 binary64) y) #s(literal 2 binary64)) #s(literal 4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 #s(literal -2 binary64) y) #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 #s(literal -2 binary64) y) #s(literal -2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 x (.f64 y #s(literal 1/2 binary64)))) (-.f64 #s(literal 4 binary64) (/.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 y y)))))
(/.f64 (fma.f64 (.f64 x x) (/.f64 #s(literal 4 binary64) (.f64 y y)) #s(literal -4 binary64)) (fma.f64 x (/.f64 #s(literal -2 binary64) y) #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 #s(literal -2 binary64) y) #s(literal -2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (.f64 x x) (.f64 x (/.f64 #s(literal -8 binary64) (.f64 y (.f64 y y)))) #s(literal -8 binary64))) (neg.f64 (fma.f64 (/.f64 x (*.f64 y #s(literal -1/2 binary64))) (fma.f64 x (/.f64 #s(literal -2 binary64) y) #s(literal 2 binary64)) #s(literal 4 binary64))))
(/.f64 (neg.f64 (fma.f64 (.f64 x x) (/.f64 #s(literal 4 binary64) (.f64 y y)) #s(literal -4 binary64))) (fma.f64 #s(literal 2 binary64) (/.f64 x y) #s(literal -2 binary64)))
(/.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (/.f64 #s(literal -512 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) #s(literal -512 binary64)) (.f64 (fma.f64 (/.f64 x (.f64 y #s(literal -1/2 binary64))) (fma.f64 x (/.f64 #s(literal -2 binary64) y) #s(literal 2 binary64)) #s(literal 4 binary64)) (-.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (/.f64 #s(literal 64 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) #s(literal 64 binary64)) (.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 64 binary64) (.f64 y (*.f64 y y)))))))
(/.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (/.f64 #s(literal 64 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) #s(literal -64 binary64)) (.f64 (fma.f64 (/.f64 x (.f64 y #s(literal -1/2 binary64))) (fma.f64 x (/.f64 #s(literal -2 binary64) y) #s(literal 2 binary64)) #s(literal 4 binary64)) (fma.f64 #s(literal -8 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) #s(literal 8 binary64))))
(/.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (/.f64 #s(literal 64 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) #s(literal -64 binary64)) (.f64 (fma.f64 x (/.f64 #s(literal -2 binary64) y) #s(literal 2 binary64)) (+.f64 (/.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 #s(literal 4 binary64) (.f64 x x))) (.f64 y (.f64 y (.f64 y y)))) (fma.f64 (/.f64 #s(literal 4 binary64) (.f64 y y)) (.f64 #s(literal 4 binary64) (.f64 x x)) #s(literal 16 binary64)))))
(/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 y y))) (+.f64 #s(literal -2 binary64) (/.f64 x (.f64 y #s(literal 1/2 binary64)))))
(/.f64 (+.f64 (/.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 #s(literal 4 binary64) (.f64 x x))) (.f64 y (.f64 y (.f64 y y)))) #s(literal -16 binary64)) (.f64 (fma.f64 x (/.f64 #s(literal -2 binary64) y) #s(literal 2 binary64)) (fma.f64 (.f64 x x) (/.f64 #s(literal 4 binary64) (*.f64 y y)) #s(literal 4 binary64))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 y y)) (fma.f64 x (/.f64 #s(literal -2 binary64) y) #s(literal 2 binary64))) (.f64 (fma.f64 x (/.f64 #s(literal -2 binary64) y) #s(literal 2 binary64)) #s(literal 4 binary64))) (.f64 (fma.f64 x (/.f64 #s(literal -2 binary64) y) #s(literal 2 binary64)) (fma.f64 x (/.f64 #s(literal -2 binary64) y) #s(literal 2 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (/.f64 #s(literal -512 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) #s(literal -512 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (/.f64 #s(literal 64 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) #s(literal 64 binary64)) (.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 64 binary64) (.f64 y (.f64 y y))))) (fma.f64 (/.f64 x (.f64 y #s(literal -1/2 binary64))) (fma.f64 x (/.f64 #s(literal -2 binary64) y) #s(literal 2 binary64)) #s(literal 4 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (/.f64 #s(literal 64 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) #s(literal -64 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal -8 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) #s(literal 8 binary64)) (fma.f64 (/.f64 x (*.f64 y #s(literal -1/2 binary64))) (fma.f64 x (/.f64 #s(literal -2 binary64) y) #s(literal 2 binary64)) #s(literal 4 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (/.f64 #s(literal 64 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) #s(literal -64 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (/.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 #s(literal 4 binary64) (.f64 x x))) (.f64 y (.f64 y (.f64 y y)))) (fma.f64 (/.f64 #s(literal 4 binary64) (.f64 y y)) (.f64 #s(literal 4 binary64) (*.f64 x x)) #s(literal 16 binary64))) (fma.f64 x (/.f64 #s(literal -2 binary64) y) #s(literal 2 binary64))))
(/.f64 (.f64 (+.f64 (/.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 #s(literal 4 binary64) (.f64 x x))) (.f64 y (.f64 y (.f64 y y)))) #s(literal -16 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 x x) (/.f64 #s(literal 4 binary64) (.f64 y y)) #s(literal 4 binary64)) (fma.f64 x (/.f64 #s(literal -2 binary64) y) #s(literal 2 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x x) (.f64 x (/.f64 #s(literal -8 binary64) (.f64 y (.f64 y y)))) #s(literal -8 binary64)))) (neg.f64 (neg.f64 (fma.f64 (/.f64 x (*.f64 y #s(literal -1/2 binary64))) (fma.f64 x (/.f64 #s(literal -2 binary64) y) #s(literal 2 binary64)) #s(literal 4 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x x) (/.f64 #s(literal 4 binary64) (.f64 y y)) #s(literal -4 binary64)))) (neg.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x y) #s(literal -2 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (/.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 y y)))) (neg.f64 (+.f64 #s(literal -2 binary64) (/.f64 x (.f64 y #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 (fma.f64 x (/.f64 #s(literal -2 binary64) y) #s(literal 2 binary64)) (.f64 y y))) #s(literal 3 binary64)) (.f64 (.f64 (/.f64 #s(literal 4 binary64) (fma.f64 x (/.f64 #s(literal -2 binary64) y) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 x (/.f64 #s(literal -2 binary64) y) #s(literal 2 binary64)))) (/.f64 #s(literal 4 binary64) (fma.f64 x (/.f64 #s(literal -2 binary64) y) #s(literal 2 binary64))))) (fma.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 (fma.f64 x (/.f64 #s(literal -2 binary64) y) #s(literal 2 binary64)) (.f64 y y))) (/.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 (fma.f64 x (/.f64 #s(literal -2 binary64) y) #s(literal 2 binary64)) (.f64 y y))) (fma.f64 (/.f64 #s(literal 4 binary64) (fma.f64 x (/.f64 #s(literal -2 binary64) y) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 x (/.f64 #s(literal -2 binary64) y) #s(literal 2 binary64))) (.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 (fma.f64 x (/.f64 #s(literal -2 binary64) y) #s(literal 2 binary64)) (*.f64 y y))) (/.f64 #s(literal 4 binary64) (fma.f64 x (/.f64 #s(literal -2 binary64) y) #s(literal 2 binary64)))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 (fma.f64 x (/.f64 #s(literal -2 binary64) y) #s(literal 2 binary64)) (.f64 y y))) (/.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 (fma.f64 x (/.f64 #s(literal -2 binary64) y) #s(literal 2 binary64)) (.f64 y y)))) (.f64 (/.f64 #s(literal 4 binary64) (fma.f64 x (/.f64 #s(literal -2 binary64) y) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 x (/.f64 #s(literal -2 binary64) y) #s(literal 2 binary64))))) (+.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 (fma.f64 x (/.f64 #s(literal -2 binary64) y) #s(literal 2 binary64)) (.f64 y y))) (/.f64 #s(literal 4 binary64) (fma.f64 x (/.f64 #s(literal -2 binary64) y) #s(literal 2 binary64)))))
(/.f64 (.f64 (fma.f64 (.f64 x x) (.f64 x (/.f64 #s(literal -8 binary64) (.f64 y (.f64 y y)))) #s(literal -8 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 x (.f64 y #s(literal -1/2 binary64))) (fma.f64 x (/.f64 #s(literal -2 binary64) y) #s(literal 2 binary64)) #s(literal 4 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 x x) (/.f64 #s(literal 4 binary64) (*.f64 y y)) #s(literal -4 binary64)) #s(literal 1 binary64)) (fma.f64 x (/.f64 #s(literal -2 binary64) y) #s(literal 2 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (/.f64 #s(literal -512 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) #s(literal -512 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x (.f64 y #s(literal -1/2 binary64))) (fma.f64 x (/.f64 #s(literal -2 binary64) y) #s(literal 2 binary64)) #s(literal 4 binary64)))) (-.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (/.f64 #s(literal 64 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) #s(literal 64 binary64)) (.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 64 binary64) (.f64 y (*.f64 y y))))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (/.f64 #s(literal 64 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) #s(literal -64 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x (.f64 y #s(literal -1/2 binary64))) (fma.f64 x (/.f64 #s(literal -2 binary64) y) #s(literal 2 binary64)) #s(literal 4 binary64)))) (fma.f64 #s(literal -8 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) #s(literal 8 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (/.f64 #s(literal 64 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) #s(literal -64 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 #s(literal -2 binary64) y) #s(literal 2 binary64)))) (+.f64 (/.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 #s(literal 4 binary64) (.f64 x x))) (.f64 y (.f64 y (.f64 y y)))) (fma.f64 (/.f64 #s(literal 4 binary64) (.f64 y y)) (.f64 #s(literal 4 binary64) (.f64 x x)) #s(literal 16 binary64))))
(/.f64 (.f64 (+.f64 (/.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 #s(literal 4 binary64) (.f64 x x))) (.f64 y (.f64 y (.f64 y y)))) #s(literal -16 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 #s(literal -2 binary64) y) #s(literal 2 binary64)))) (fma.f64 (.f64 x x) (/.f64 #s(literal 4 binary64) (*.f64 y y)) #s(literal 4 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 #s(literal -2 binary64) y) #s(literal -2 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 #s(literal -2 binary64) y) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 x (.f64 y #s(literal 1/2 binary64)))) (-.f64 #s(literal 4 binary64) (/.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 y y)))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 x x) (.f64 x (/.f64 #s(literal -8 binary64) (.f64 y (.f64 y y)))) #s(literal -8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x (.f64 y #s(literal -1/2 binary64))) (fma.f64 x (/.f64 #s(literal -2 binary64) y) #s(literal 2 binary64)) #s(literal 4 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 #s(literal -2 binary64) y) #s(literal -2 binary64)))
(.f64 (fma.f64 (.f64 x x) (/.f64 #s(literal 4 binary64) (*.f64 y y)) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 #s(literal -2 binary64) y) #s(literal 2 binary64))))
(.f64 (neg.f64 (fma.f64 (.f64 x x) (.f64 x (/.f64 #s(literal -8 binary64) (.f64 y (.f64 y y)))) #s(literal -8 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (/.f64 x (.f64 y #s(literal -1/2 binary64))) (fma.f64 x (/.f64 #s(literal -2 binary64) y) #s(literal 2 binary64)) #s(literal 4 binary64)))))
(.f64 (neg.f64 (fma.f64 (.f64 x x) (/.f64 #s(literal 4 binary64) (*.f64 y y)) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 x y) #s(literal -2 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x (.f64 y #s(literal -1/2 binary64))) (fma.f64 x (/.f64 #s(literal -2 binary64) y) #s(literal 2 binary64)) #s(literal 4 binary64))) (fma.f64 (.f64 x x) (.f64 x (/.f64 #s(literal -8 binary64) (.f64 y (.f64 y y)))) #s(literal -8 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 #s(literal -2 binary64) y) #s(literal 2 binary64))) (fma.f64 (.f64 x x) (/.f64 #s(literal 4 binary64) (*.f64 y y)) #s(literal -4 binary64)))
(.f64 (-.f64 #s(literal 4 binary64) (/.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -2 binary64) (/.f64 x (*.f64 y #s(literal 1/2 binary64))))))
(.f64 (/.f64 (fma.f64 (.f64 x x) (/.f64 #s(literal 4 binary64) (.f64 y y)) #s(literal -4 binary64)) (fma.f64 (.f64 x x) (/.f64 #s(literal 4 binary64) (*.f64 y y)) #s(literal -4 binary64))) (fma.f64 x (/.f64 #s(literal -2 binary64) y) #s(literal -2 binary64)))
(.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 x (/.f64 #s(literal -8 binary64) (.f64 y (.f64 y y)))) #s(literal -8 binary64)) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (/.f64 #s(literal 64 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (.f64 (fma.f64 (neg.f64 x) (/.f64 #s(literal 4 binary64) y) #s(literal 4 binary64)) (.f64 (fma.f64 (neg.f64 x) (/.f64 #s(literal 4 binary64) y) #s(literal 4 binary64)) (fma.f64 (neg.f64 x) (/.f64 #s(literal 4 binary64) y) #s(literal 4 binary64)))))) (fma.f64 (fma.f64 (neg.f64 x) (/.f64 #s(literal 4 binary64) y) #s(literal 4 binary64)) (-.f64 (fma.f64 (neg.f64 x) (/.f64 #s(literal 4 binary64) y) #s(literal 4 binary64)) (/.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 y y))) (/.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 #s(literal 4 binary64) (.f64 x x))) (.f64 y (.f64 y (.f64 y y))))))
(.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 x (/.f64 #s(literal -8 binary64) (.f64 y (.f64 y y)))) #s(literal -8 binary64)) (.f64 (fma.f64 (/.f64 x (.f64 y #s(literal -1/2 binary64))) (fma.f64 x (/.f64 #s(literal -2 binary64) y) #s(literal 2 binary64)) #s(literal 4 binary64)) (+.f64 (fma.f64 (.f64 x x) (/.f64 #s(literal 4 binary64) (.f64 y y)) #s(literal -4 binary64)) (/.f64 (.f64 x #s(literal 4 binary64)) y)))) (+.f64 (fma.f64 (.f64 x x) (/.f64 #s(literal 4 binary64) (.f64 y y)) #s(literal -4 binary64)) (/.f64 (*.f64 x #s(literal 4 binary64)) y)))
(.f64 (/.f64 (fma.f64 (.f64 x x) (/.f64 #s(literal 4 binary64) (.f64 y y)) #s(literal -4 binary64)) (fma.f64 #s(literal -8 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) #s(literal 8 binary64))) (fma.f64 x (/.f64 (.f64 x #s(literal 4 binary64)) (*.f64 y y)) (fma.f64 x (/.f64 #s(literal 4 binary64) y) #s(literal 4 binary64))))
(exp.f64 (neg.f64 (log.f64 (*.f64 y #s(literal -1/2 binary64)))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) y))
(neg.f64 (/.f64 #s(literal 2 binary64) y))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) y)))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 y #s(literal -1/2 binary64))))
(/.f64 #s(literal 2 binary64) (neg.f64 y))
(/.f64 #s(literal -2 binary64) y)
(/.f64 #s(literal 1 binary64) (*.f64 y #s(literal -1/2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64))
(/.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1/2 binary64)))
(pow.f64 (/.f64 #s(literal -2 binary64) y) #s(literal 1 binary64))
(pow.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal -1 binary64))
(pow.f64 (.f64 (.f64 y #s(literal -1/2 binary64)) (*.f64 y #s(literal -1/2 binary64))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) y))
(*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal -2 binary64) y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -2 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) y))
(*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 2 binary64))
(.f64 (pow.f64 (.f64 y #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal -1/2 binary64)))

eval52.0ms (0.9%)

Memory: -0.6MiB live, 120.5MiB allocated
Compiler: Compiled 5 385 to 610 computations (88.7% saved)

prune90.0ms (1.6%)

Memory

7.7MiB live, 85.8MiB allocated

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	326	0	326
Fresh	0	0	0
Picked	0	2	2
Done	0	5	5
Total	326	7	333

Accuracy

100.0%

Counts

333 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	78.3%	(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))
✓	91.5%	(.f64 (/.f64 (.f64 #s(literal 2 binary64) y) (-.f64 x y)) x)
✓	53.2%	(.f64 #s(approx (/ ( 2 y) (- x y)) (fma.f64 x (/.f64 #s(literal -2 binary64) y) #s(literal -2 binary64))) x)
✓	39.1%	(.f64 #s(approx (/ ( 2 y) (- x y)) (/.f64 (*.f64 #s(literal 2 binary64) y) x)) x)
✓	46.7%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 y (fma.f64 y (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))))
✓	47.6%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 y #s(literal 2 binary64)))
✓	53.7%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x))

Compiler

Compiled 129 to 64 computations (50.4% saved)

regimes36.0ms (0.6%)

Memory

-13.2MiB live, 25.7MiB allocated

Counts

8 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

29.0ms	x
3.0ms	(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))
3.0ms	y

Results

Accuracy	Segments	Branch
96.0%	3	`x`
96.9%	3	`y`
99.6%	5	`(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))`

Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes8.0ms (0.1%)

Memory

22.9MiB live, 22.9MiB 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)))
(.f64 #s(approx (/ ( 2 y) (- x y)) (/.f64 (*.f64 #s(literal 2 binary64) y) x)) x)
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) (fma.f64 x (/.f64 x y) x)))
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 y (fma.f64 y (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))))
(.f64 #s(approx (/ ( 2 y) (- x y)) (fma.f64 x (/.f64 #s(literal -2 binary64) y) #s(literal -2 binary64))) x)

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) (fma.f64 x (/.f64 x y) x)))

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

Calls

3 calls:

3.0ms	x
3.0ms	y
2.0ms	(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))

Results

Accuracy	Segments	Branch
78.5%	3	`x`
57.9%	2	`(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))`
75.8%	3	`y`

Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes2.0ms (0%)

Memory

7.5MiB live, 7.5MiB 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)))

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

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
78.3%	3	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes6.0ms (0.1%)

Memory

-28.4MiB live, 12.7MiB 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:

3.0ms	y
1.0ms	(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))
1.0ms	x

Results

Accuracy	Segments	Branch
53.7%	1	`(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))`
53.7%	1	`y`
53.7%	1	`x`

Compiler

Compiled 17 to 11 computations (35.3% saved)

bsearch24.0ms (0.4%)

Memory

27.9MiB live, 66.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	2.333380695351625e-81	5.800581136919328e-75
9.0ms	-3.7745203255006656e-166	-2.844587450363875e-168

Samples

13.0ms

256×

valid

Compiler

Compiled 398 to 252 computations (36.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-mult: 3.0ms (45.9% of total)

ival-div: 2.0ms (30.6% of total)

ival-sub: 1.0ms (15.3% of total)

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

exact: 0.0ms (0% of total)

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

bsearch31.0ms (0.5%)

Memory

-10.1MiB live, 64.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	2.571160709131417e-44	3.59392472879316e-33
12.0ms	-5.4619140451184857e-14	-5.621724427919338e-17

Samples

18.0ms

288×

valid

Compiler

Compiled 356 to 228 computations (36% saved)

Precisions

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

ival-mult: 5.0ms (57.1% of total)

ival-div: 2.0ms (22.8% of total)

ival-sub: 1.0ms (11.4% of total)

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

4.3MiB live, 4.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.571160709131417e-44	3.59392472879316e-33
1.0ms	-5.4619140451184857e-14	-5.621724427919338e-17

Compiler

Compiled 266 to 192 computations (27.8% saved)

simplify31.0ms (0.5%)

Memory

-9.8MiB live, 41.6MiB allocated

Algorithm

1×	egg-herbie

Rules

12×	`*-commutative_binary64`
4×	`+-commutative_binary64`
4×	`sub-neg_binary64`
2×	`neg-sub0_binary64`
2×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	156
1	47	156
2	52	156
3	54	156
4	55	156

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 y #s(literal -564334117367815/16598062275523971834049631454764644604049784928969747599982629318762611245651632585598828195788415177152791546445203156729580604301647101231547499336455854748244727213606038094741504 binary64)) (.f64 (/.f64 (.f64 #s(literal 2 binary64) y) (-.f64 x y)) x) (if (<=.f64 y #s(literal 640796110776273/266998379490113760299377713271194014325338065294581596243380200977777465722580068752870260867072 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (.f64 y (fma.f64 y (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))) (.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (-.f64 x y)) x)))
(if (<=.f64 x #s(literal -6084722881095501/10141204801825835211973625643008 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (.f64 y #s(literal 2 binary64))) (if (<=.f64 x #s(literal 2993155353253689/748288838313422294120286634350736906063837462003712 binary64)) #s(approx (/ ( (* x 2) y) (- x y)) (.f64 #s(literal -2 binary64) (fma.f64 x (/.f64 x y) x))) #s(approx (/ ( (* x 2) y) (- x y)) (*.f64 y #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal -3143773488566009/5070602400912917605986812821504 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (.f64 y #s(literal 2 binary64))) (if (<=.f64 x #s(literal 2993155353253689/748288838313422294120286634350736906063837462003712 binary64)) #s(approx (/ ( (* x 2) y) (- x y)) (.f64 #s(literal -2 binary64) x)) #s(approx (/ ( (* x 2) y) (- x y)) (*.f64 y #s(literal 2 binary64)))))
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x))

Outputs
(if (<=.f64 y #s(literal -564334117367815/16598062275523971834049631454764644604049784928969747599982629318762611245651632585598828195788415177152791546445203156729580604301647101231547499336455854748244727213606038094741504 binary64)) (.f64 (/.f64 (.f64 #s(literal 2 binary64) y) (-.f64 x y)) x) (if (<=.f64 y #s(literal 640796110776273/266998379490113760299377713271194014325338065294581596243380200977777465722580068752870260867072 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (.f64 y (fma.f64 y (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))) (.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (-.f64 x y)) x)))
(if (<=.f64 y #s(literal -564334117367815/16598062275523971834049631454764644604049784928969747599982629318762611245651632585598828195788415177152791546445203156729580604301647101231547499336455854748244727213606038094741504 binary64)) (.f64 x (/.f64 (.f64 y #s(literal 2 binary64)) (-.f64 x y))) (if (<=.f64 y #s(literal 640796110776273/266998379490113760299377713271194014325338065294581596243380200977777465722580068752870260867072 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (.f64 y (fma.f64 y (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))) (.f64 x (/.f64 (*.f64 y #s(literal 2 binary64)) (-.f64 x y)))))
(if (<=.f64 x #s(literal -6084722881095501/10141204801825835211973625643008 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (.f64 y #s(literal 2 binary64))) (if (<=.f64 x #s(literal 2993155353253689/748288838313422294120286634350736906063837462003712 binary64)) #s(approx (/ ( (* x 2) y) (- x y)) (.f64 #s(literal -2 binary64) (fma.f64 x (/.f64 x y) x))) #s(approx (/ ( (* x 2) y) (- x y)) (*.f64 y #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal -3143773488566009/5070602400912917605986812821504 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (.f64 y #s(literal 2 binary64))) (if (<=.f64 x #s(literal 2993155353253689/748288838313422294120286634350736906063837462003712 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 -3143773488566009/5070602400912917605986812821504 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (.f64 y #s(literal 2 binary64))) (if (<=.f64 x #s(literal 2993155353253689/748288838313422294120286634350736906063837462003712 binary64)) #s(approx (/ ( (* x 2) y) (- x y)) (.f64 x #s(literal -2 binary64))) #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 x #s(literal -2 binary64)))

soundness505.0ms (8.8%)

Memory

-0.0MiB live, 345.7MiB allocated

Rules

14 398×	`lower-fma.f64`
14 398×	`lower-fma.f32`
5 632×	`lower-/.f32`
5 630×	`lower-/.f64`
5 052×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	136	557
1	378	543
2	1013	523
3	3099	517
4	6414	517
0	8134	486
0	7	20
0	11	20
1	40	20
2	250	20
3	2754	20
0	9208	20

Stop Event

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

Compiler

Compiled 146 to 69 computations (52.7% saved)

preprocess43.0ms (0.8%)

Memory: 29.1MiB live, 104.5MiB allocated
Compiler: Compiled 268 to 108 computations (59.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze12.0ms (0.2%)

sample721.0ms (12.6%)

explain101.0ms (1.8%)

preprocess169.0ms (3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify113.0ms (2%)

localize20.0ms (0.3%)

series141.0ms (2.5%)

simplify274.0ms (4.8%)

rewrite475.0ms (8.3%)

eval64.0ms (1.1%)

prune133.0ms (2.3%)

simplify231.0ms (4%)

localize92.0ms (1.6%)

series31.0ms (0.5%)

simplify333.0ms (5.8%)

rewrite258.0ms (4.5%)

eval308.0ms (5.4%)

prune484.0ms (8.5%)

simplify131.0ms (2.3%)

localize75.0ms (1.3%)

series7.0ms (0.1%)

simplify316.0ms (5.5%)

rewrite390.0ms (6.8%)

eval52.0ms (0.9%)

prune90.0ms (1.6%)

regimes36.0ms (0.6%)

regimes8.0ms (0.1%)

regimes2.0ms (0%)

regimes6.0ms (0.1%)

bsearch24.0ms (0.4%)

bsearch31.0ms (0.5%)

bsearch1.0ms (0%)

simplify31.0ms (0.5%)

soundness505.0ms (8.8%)

preprocess43.0ms (0.8%)

end0.0ms (0%)

Profiling