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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze13.0ms (0.2%)

Memory

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)

sample1.1s (19.8%)

Memory

23.3MiB live, 919.0MiB allocated

Samples

717.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 273.0ms

ival-mult: 167.0ms (61.1% of total)

ival-div: 53.0ms (19.4% of total)

ival-sub: 39.0ms (14.3% of total)

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

exact: 5.0ms (1.8% of total)

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

Bogosity

explain92.0ms (1.7%)

Memory

-35.2MiB live, 112.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
61	-	4	(1.6902202208337109e-186 -9.709523580651941e-129)	`(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))`
0	-	0	-	`(*.f64 x #s(literal 2 binary64))`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`y`
0	-	0	-	`(-.f64 x y)`
0	-	0	-	`(.f64 (.f64 x #s(literal 2 binary64)) y)`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))`	u/n	37	0
↳	`(.f64 (.f64 x #s(literal 2 binary64)) y)`	underflow	37
`/.f64`	`(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))`	o/n	20	0
↳	`(.f64 (.f64 x #s(literal 2 binary64)) y)`	overflow	20

Confusion

	Predicted +	Predicted -
+	57	4
-	0	195

Precision

1.0

Recall

0.9344262295081968

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	57	0	4
-	0	0	195

Precision?

1.0

Recall?

0.9344262295081968

Freqs

test

number	freq
0	199
1	57

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

39.0ms

512×

valid

Compiler

Compiled 61 to 25 computations (59% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-mult: 7.0ms (50.7% of total)

ival-sub: 3.0ms (21.7% of total)

ival-div: 3.0ms (21.7% of total)

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

exact: 0.0ms (0% of total)

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

preprocess172.0ms (3.2%)

Memory

-6.9MiB live, 115.9MiB 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 #s(literal -2 binary64) x) (/.f64 y (-.f64 y x)))

Compiler

Compiled 11 to 7 computations (36.4% saved)

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	78.5%	(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))

Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify50.0ms (0.9%)

Memory

22.4MiB live, 59.7MiB 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 #s(literal -2 binary64) x) (/.f64 y (-.f64 y x)))
(.f64 (.f64 x #s(literal 2 binary64)) y)
(.f64 y (.f64 #s(literal 2 binary64) x))
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
x
#s(literal 2 binary64)
y
(-.f64 x y)

localize34.0ms (0.6%)

Memory

8.8MiB live, 86.1MiB 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	13.783533464389091	(/.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: 6.0ms

ival-mult: 3.0ms (46.7% of total)

ival-div: 2.0ms (31.1% of total)

ival-sub: 1.0ms (15.6% of total)

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

exact: 0.0ms (0% of total)

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

series11.0ms (0.2%)

Memory

-12.0MiB live, 24.8MiB 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
3.0ms	y	@	0	(/ (* (* x 2) y) (- x y))
1.0ms	x	@	inf	(* (* x 2) y)
1.0ms	y	@	inf	(/ (* (* x 2) y) (- x y))
1.0ms	x	@	0	(* (* x 2) y)
0.0ms	y	@	inf	(* (* x 2) y)

simplify225.0ms (4.2%)

Memory

-1.7MiB live, 160.5MiB 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 x #s(literal -2 binary64))
(* x (- (* -2 (/ x y)) 2))
(*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x)
(* x (- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 2))
(*.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) #s(literal -2 binary64)) x)
(* x (- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 2))
(.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (.f64 y y)) (fma.f64 (/.f64 x y) x x) (/.f64 #s(literal -2 binary64) y)) x #s(literal -2 binary64)) x)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(+ (* 2 y) (* 2 (/ (pow y 2) x)))
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (* 2 (/ (pow y 3) (pow x 2)))))
(*.f64 (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) y y) y) #s(literal 2 binary64))
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (+ (* 2 (/ (pow y 3) (pow x 2))) (* 2 (/ (pow y 4) (pow x 3))))))
(.f64 (fma.f64 y (fma.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 y x) #s(literal 1 binary64)) (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (*.f64 x x) x))) #s(literal 2 binary64))
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(+ (* 2 y) (* 2 (/ (pow y 2) x)))
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)
(+ (* -1 (/ (+ (* -2 (/ (pow y 3) x)) (* -2 (pow y 2))) x)) (* 2 y))
(*.f64 (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) y y) y) #s(literal 2 binary64))
(+ (* -1 (/ (+ (* -2 (pow y 2)) (* -1 (/ (+ (* 2 (/ (pow y 4) x)) (* 2 (pow y 3))) x))) x)) (* 2 y))
(fma.f64 #s(literal 2 binary64) y (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 y y (/.f64 (fma.f64 (.f64 y 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 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)
(* y (+ 2 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))))
(*.f64 (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) y y) y) #s(literal 2 binary64))
(* y (+ 2 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))))
(.f64 (fma.f64 (.f64 (/.f64 #s(literal 2 binary64) x) (fma.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 y x) #s(literal 1 binary64))) y #s(literal 2 binary64)) y)
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x)
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (* -2 (/ (pow x 3) (pow y 2)))))
(*.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) #s(literal -2 binary64)) x)
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (+ (* -2 (/ (pow x 3) (pow y 2))) (* -2 (/ (pow x 4) (pow y 3))))))
(.f64 (fma.f64 x (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 x y) #s(literal 1 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (*.f64 y y) y))) #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x)
(+ (* -2 x) (* -1 (/ (+ (* 2 (/ (pow x 3) y)) (* 2 (pow x 2))) y)))
(*.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) #s(literal -2 binary64)) 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 (.f64 #s(literal -2 binary64) (fma.f64 x x (/.f64 (fma.f64 (.f64 x x) x (/.f64 (pow.f64 x #s(literal 4 binary64)) y)) y))) y))
(* 2 (* x y))
(.f64 (.f64 y x) #s(literal 2 binary64))
(* 2 (* x y))
(.f64 (.f64 y x) #s(literal 2 binary64))
(* 2 (* x y))
(.f64 (.f64 y x) #s(literal 2 binary64))
(* 2 (* x y))
(.f64 (.f64 y x) #s(literal 2 binary64))
(* 2 (* x y))
(.f64 (.f64 y x) #s(literal 2 binary64))
(* 2 (* x y))
(.f64 (.f64 y x) #s(literal 2 binary64))
(* 2 (* x y))
(.f64 (.f64 y x) #s(literal 2 binary64))
(* 2 (* x y))
(.f64 (.f64 y x) #s(literal 2 binary64))
(* 2 (* x y))
(.f64 (.f64 y x) #s(literal 2 binary64))
(* 2 (* x y))
(.f64 (.f64 y x) #s(literal 2 binary64))
(* 2 (* x y))
(.f64 (.f64 y x) #s(literal 2 binary64))
(* 2 (* x y))
(.f64 (.f64 y x) #s(literal 2 binary64))
(* 2 (* x y))
(.f64 (.f64 y x) #s(literal 2 binary64))
(* 2 (* x y))
(.f64 (.f64 y x) #s(literal 2 binary64))
(* 2 (* x y))
(.f64 (.f64 y x) #s(literal 2 binary64))
(* 2 (* x y))
(.f64 (.f64 y x) #s(literal 2 binary64))
(* 2 (* x y))
(.f64 (.f64 y x) #s(literal 2 binary64))
(* 2 (* x y))
(.f64 (.f64 y x) #s(literal 2 binary64))
(* 2 (* x y))
(.f64 (.f64 y x) #s(literal 2 binary64))
(* 2 (* x y))
(.f64 (.f64 y x) #s(literal 2 binary64))
(* 2 (* x y))
(.f64 (.f64 y x) #s(literal 2 binary64))
(* 2 (* x y))
(.f64 (.f64 y x) #s(literal 2 binary64))
(* 2 (* x y))
(.f64 (.f64 y x) #s(literal 2 binary64))
(* 2 (* x y))
(.f64 (.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)
(* -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)

rewrite390.0ms (7.2%)

Memory

10.0MiB live, 212.2MiB 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 (pow.f64 (/.f64 (+.f64 y x) (.f64 y (*.f64 #s(literal 2 binary64) x))) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 x y) (+.f64 y x)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) (.f64 y (.f64 #s(literal 2 binary64) x))) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 x y) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (.f64 (/.f64 y (-.f64 x y)) #s(literal 2 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 y x) (.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 y x) y) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 x y) (.f64 #s(literal -2 binary64) y)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 (+.f64 y x) (-.f64 y x)) (*.f64 #s(literal -2 binary64) y)) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) x) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 (+.f64 y x) (-.f64 x y)) (*.f64 y x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) #s(literal 2 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 (+.f64 y x) (-.f64 y x)) (*.f64 #s(literal -2 binary64) x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) y) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 (+.f64 y x) (-.f64 y x)) #s(literal -2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (*.f64 y x)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 (+.f64 y x) (-.f64 x y)) x) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (*.f64 y #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (.f64 y y) y (.f64 (.f64 x x) x)) (.f64 y #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) y (.f64 x x))) x) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (.f64 y y) y (.f64 (.f64 x x) x)) (.f64 y x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) y (.f64 x x))) #s(literal 2 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (.f64 y y) y (.f64 (.f64 x x) x)) (.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) y (.f64 x x))) y) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (.f64 y y) y (.f64 (.f64 x x) x)) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) y (.f64 x x))) (.f64 y x)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (.f64 y y) y (.f64 (.f64 x x) x)) x) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) y (.f64 x x))) (.f64 y #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (.f64 #s(literal 2 binary64) (/.f64 x (-.f64 x y))))
(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (.f64 #s(literal -2 binary64) x)) #s(literal -1 binary64)) (/.f64 y (-.f64 x y)))
(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (.f64 y (*.f64 #s(literal 2 binary64) x))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 x y)))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) x)) (pow.f64 (/.f64 #s(literal -1 binary64) (.f64 #s(literal -2 binary64) y)) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) x)) (.f64 y #s(literal 2 binary64)))
(.f64 (/.f64 (.f64 #s(literal -2 binary64) (.f64 y x)) (.f64 (+.f64 y x) (-.f64 x y))) (neg.f64 (+.f64 y x)))
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(-.f64 (/.f64 (/.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (+.f64 y x))) (-.f64 y x))
(-.f64 (+.f64 x #s(literal 0 binary64)) y)
(-.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 y #s(literal 1 binary64)))
(-.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 x #s(literal -1 binary64)))
(-.f64 (/.f64 (.f64 x (/.f64 x (+.f64 y x))) #s(literal 1 binary64)) (/.f64 (.f64 y (/.f64 y (+.f64 y x))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x x) x) (fma.f64 (+.f64 y x) y (.f64 x x))) #s(literal 1 binary64)) (/.f64 (/.f64 (.f64 (.f64 y y) y) (fma.f64 (+.f64 y x) y (.f64 x x))) #s(literal 1 binary64)))
(-.f64 (.f64 x (/.f64 x (+.f64 y x))) (.f64 y (/.f64 y (+.f64 y x))))
(-.f64 (/.f64 (.f64 (.f64 x x) x) (fma.f64 (+.f64 y x) y (.f64 x x))) (/.f64 (.f64 (.f64 y y) y) (fma.f64 (+.f64 y x) y (.f64 x x))))
(-.f64 #s(literal 0 binary64) (-.f64 y x))
(-.f64 x y)
(exp.f64 (neg.f64 (*.f64 (log.f64 (-.f64 x y)) #s(literal -1 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 (-.f64 x y)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (-.f64 y x))) #s(literal -1 binary64)))
(+.f64 (neg.f64 (neg.f64 x)) (neg.f64 y))
(+.f64 (.f64 x (/.f64 x (+.f64 y x))) (neg.f64 (.f64 y (/.f64 y (+.f64 y x)))))
(+.f64 (/.f64 (.f64 (.f64 x x) x) (fma.f64 (+.f64 y x) y (.f64 x x))) (neg.f64 (/.f64 (.f64 (.f64 y y) y) (fma.f64 (+.f64 y x) y (.f64 x x)))))
(+.f64 (neg.f64 y) x)
(+.f64 x (neg.f64 y))

eval78.0ms (1.4%)

Memory: -15.1MiB live, 111.4MiB allocated
Compiler: Compiled 13 445 to 1 314 computations (90.2% saved)

prune227.0ms (4.2%)

Memory

4.0MiB live, 122.3MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	480	6	486
Fresh	0	0	0
Picked	1	0	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
▶	88.6%	(.f64 (/.f64 y (-.f64 x y)) (.f64 #s(literal 2 binary64) x))
	87.1%	(.f64 (.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y)))
▶	52.5%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x))
▶	47.6%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y))
▶	53.4%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 x #s(literal -2 binary64)))
▶	47.9%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y))

Compiler

Compiled 112 to 68 computations (39.3% saved)

simplify206.0ms (3.8%)

Memory

1.5MiB live, 71.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	135
0	38	135
1	61	135
2	104	135
3	161	135
4	217	135
5	443	135
6	736	135
7	1626	135
8	2877	135
9	3592	135
10	3868	135
11	3964	135
12	3986	135
13	3988	135
14	4180	135
15	4252	135
16	4252	135
17	4252	135
18	4252	135
19	4324	135
20	4853	135
0	4853	135

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize127.0ms (2.4%)

Memory

0.7MiB live, 127.7MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64))
accuracy	0	(/.f64 x y)
accuracy	0.08203125	(*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x)
accuracy	30.40745518487528	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x))
accuracy	0	(/.f64 #s(literal 2 binary64) x)
accuracy	0.05078125	(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)
accuracy	0.11328125	(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64))
accuracy	33.5676230935163	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y))
accuracy	0	(*.f64 x #s(literal -2 binary64))
accuracy	29.79200372724758	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 x #s(literal -2 binary64)))
accuracy	0	(*.f64 #s(literal 2 binary64) y)
accuracy	33.33408332053947	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y))
accuracy	0	(-.f64 x y)
accuracy	0	(*.f64 #s(literal 2 binary64) x)
accuracy	0.01171875	(/.f64 y (-.f64 x y))
accuracy	7.3088879658345824	(.f64 (/.f64 y (-.f64 x y)) (.f64 #s(literal 2 binary64) x))

Samples

69.0ms

256×

valid

Compiler

Compiled 115 to 23 computations (80% saved)

Precisions

Click to see histograms. Total time spent on operations: 56.0ms

ival-mult: 45.0ms (80.4% of total)

ival-div: 7.0ms (12.5% of total)

ival-sub: 2.0ms (3.6% of total)

ival-add: 2.0ms (3.6% of total)

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

exact: 0.0ms (0% of total)

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

series22.0ms (0.4%)

Memory

7.9MiB live, 41.1MiB allocated

Counts

16 → 336

Calls

Call 1

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

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

Calls

84 calls:

Time	Variable		Point	Expression
4.0ms	y	@	-inf	(* (+ (* (/ x y) -2) -2) x)
1.0ms	x	@	0	(* x -2)
1.0ms	x	@	inf	(* (+ (* (/ x y) -2) -2) x)
1.0ms	y	@	-inf	(* (+ (* (/ 2 x) y) 2) y)
1.0ms	x	@	0	(* (+ (* (/ x y) -2) -2) x)

simplify254.0ms (4.7%)

Memory

-14.7MiB live, 153.4MiB allocated

Algorithm

1×	egg-herbie

Rules

10 206×	`lower-fma.f64`
10 206×	`lower-fma.f32`
3 786×	`lower-*.f64`
3 786×	`lower-*.f32`
3 210×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	237	2954
1	718	2874
2	2054	2737
3	6014	2715
0	8149	2492

Stop Event

1×	iter limit
1×	node limit

Counts

336 → 333

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

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

rewrite223.0ms (4.1%)

Memory

16.5MiB live, 364.7MiB allocated

Rules

5 088×	`lower-*.f32`
5 076×	`lower-*.f64`
4 842×	`lower-fma.f32`
4 838×	`lower-fma.f64`
4 124×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	122
0	38	122
1	124	122
2	725	122
0	8333	122

Stop Event

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

Counts

16 → 600

Calls

Call 1

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

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

eval194.0ms (3.6%)

Memory: -6.9MiB live, 308.5MiB allocated
Compiler: Compiled 19 044 to 1 829 computations (90.4% saved)

prune276.0ms (5.1%)

Memory

10.9MiB live, 199.1MiB allocated

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	931	2	933
Fresh	0	1	1
Picked	1	4	5
Done	0	0	0
Total	932	7	939

Accuracy

100.0%

Counts

939 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	88.6%	(.f64 (/.f64 y (-.f64 x y)) (.f64 #s(literal 2 binary64) x))
▶	87.1%	(.f64 (.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y)))
▶	36.4%	(.f64 #s(approx (/ y (- x y)) (/.f64 y x)) (.f64 #s(literal 2 binary64) x))
▶	52.5%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64)))
✓	47.6%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y))
✓	53.4%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 x #s(literal -2 binary64)))
✓	47.9%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y))

Compiler

Compiled 66 to 40 computations (39.4% saved)

simplify119.0ms (2.2%)

Memory

16.6MiB live, 87.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

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

Rules

1 656×	`lower-fma.f32`
1 654×	`lower-fma.f64`
1 336×	`lower-*.f32`
1 326×	`lower-*.f64`
670×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	92
0	32	92
1	58	92
2	105	92
3	155	92
4	186	92
5	400	92
6	682	92
7	1478	92
8	2540	92
9	3221	92
10	3324	92
11	3335	92
12	3351	92
13	3357	92
14	3497	92
15	3578	92
16	3578	92
0	3578	92

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize75.0ms (1.4%)

Memory

14.2MiB live, 125.3MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 x y)
accuracy	0	(*.f64 y #s(literal 2 binary64))
accuracy	0.0078125	(/.f64 x (-.f64 x y))
accuracy	8.23858994473341	(.f64 (.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y)))
accuracy	0	(/.f64 y x)
accuracy	0	(*.f64 #s(literal 2 binary64) x)
accuracy	7.3088879658345824	(.f64 #s(approx (/ y (- x y)) (/.f64 y x)) (.f64 #s(literal 2 binary64) x))
accuracy	33.457937906481135	#s(approx (/ y (- x y)) (/.f64 y x))
accuracy	0	(/.f64 x y)
accuracy	0	(*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64))
accuracy	0.07421875	(fma.f64 (/.f64 x y) x x)
accuracy	30.40745518487528	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64)))

Samples

47.0ms

256×

valid

Compiler

Compiled 79 to 21 computations (73.4% saved)

Precisions

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

ival-mult: 25.0ms (69.7% of total)

ival-div: 8.0ms (22.3% of total)

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

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

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

exact: 0.0ms (0% of total)

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

series251.0ms (4.6%)

Memory

-125.8MiB live, 29.2MiB allocated

Counts

12 → 264

Calls

Call 1

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

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

66 calls:

Time	Variable		Point	Expression
237.0ms	x	@	-inf	(/ x (- x y))
2.0ms	y	@	inf	(* (+ (* (/ x y) x) x) -2)
1.0ms	y	@	0	(* (+ (* (/ x y) x) x) -2)
0.0ms	x	@	0	(* (+ (* (/ x y) x) x) -2)
0.0ms	x	@	inf	(* (+ (* (/ x y) x) x) -2)

simplify197.0ms (3.7%)

Memory

17.4MiB live, 286.1MiB allocated

Algorithm

1×	egg-herbie

Rules

13 488×	`lower-fma.f64`
13 488×	`lower-fma.f32`
4 296×	`lower-*.f64`
4 296×	`lower-*.f32`
2 050×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	285	2269
1	865	2175
2	2395	2052
3	6737	2030
0	8405	1875

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 258

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

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

rewrite152.0ms (2.8%)

Memory

33.0MiB live, 216.5MiB allocated

Rules

4 232×	`lower-*.f32`
4 222×	`lower-*.f64`
3 884×	`lower-fma.f32`
3 882×	`lower-fma.f64`
3 394×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	83
0	32	83
1	104	83
2	596	83
3	6691	83
0	8015	83

Stop Event

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

Counts

12 → 540

Calls

Call 1

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

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

eval174.0ms (3.2%)

Memory: 25.2MiB live, 287.2MiB allocated
Compiler: Compiled 16 497 to 1 628 computations (90.1% saved)

prune111.0ms (2.1%)

Memory

4.4MiB live, 239.0MiB allocated

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	798	0	798
Fresh	0	0	0
Picked	0	3	3
Done	0	4	4
Total	798	7	805

Accuracy

100.0%

Counts

805 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	88.6%	(.f64 (/.f64 y (-.f64 x y)) (.f64 #s(literal 2 binary64) x))
✓	87.1%	(.f64 (.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y)))
✓	36.4%	(.f64 #s(approx (/ y (- x y)) (/.f64 y x)) (.f64 #s(literal 2 binary64) x))
✓	52.5%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64)))
✓	47.6%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y))
✓	53.4%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 x #s(literal -2 binary64)))
✓	47.9%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y))

Compiler

Compiled 138 to 66 computations (52.2% saved)

regimes12.0ms (0.2%)

Memory

-14.6MiB live, 27.4MiB allocated

Counts

9 → 3

Calls

Call 1

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

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

Calls

3 calls:

5.0ms	(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))
3.0ms	x
3.0ms	y

Results

Accuracy	Segments	Branch
100.0%	3	`x`
100.0%	3	`y`
99.2%	5	`(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))`

Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes10.0ms (0.2%)

Memory

-13.3MiB live, 25.9MiB allocated

Counts

7 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
87.1%	1	`(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))`
95.6%	3	`y`
93.6%	3	`x`

Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes8.0ms (0.2%)

Memory

28.0MiB live, 28.0MiB allocated

Counts

6 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
64.1%	6	`(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))`
80.4%	3	`x`
75.3%	3	`y`

Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes3.0ms (0.1%)

Memory

-30.2MiB live, 9.3MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
80.1%	3	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0.1%)

Memory

13.3MiB live, 13.3MiB 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) y))

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
47.9%	1	`(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))`
47.9%	1	`y`
47.9%	1	`x`

Compiler

Compiled 17 to 11 computations (35.3% saved)

bsearch19.0ms (0.4%)

Memory

7.3MiB live, 46.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	predicate-same
1×	narrow-enough

Steps

Time	Left	Right
6.0ms	1.8791746479481203e+39	4.9643288554104453e+64
11.0ms	-1.1433582402320202e-23	-3.3638809276567807e-28

Samples

10.0ms

208×

valid

Compiler

Compiled 326 to 220 computations (32.5% saved)

Precisions

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

ival-mult: 3.0ms (57.8% of total)

ival-sub: 1.0ms (19.3% of total)

ival-div: 1.0ms (19.3% of total)

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

exact: 0.0ms (0% of total)

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

bsearch14.0ms (0.3%)

Memory

-10.5MiB live, 30.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
3.0ms	1.1129671885028273e+177	1.3490440178636528e+177
10.0ms	-2.2346914898585057e+134	-4.566656075602039e+132

Samples

6.0ms

144×

valid

Compiler

Compiled 185 to 129 computations (30.3% saved)

Precisions

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

ival-mult: 2.0ms (56% of total)

ival-sub: 1.0ms (28% of total)

ival-div: 1.0ms (28% of total)

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

exact: 0.0ms (0% of total)

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

bsearch23.0ms (0.4%)

Memory

5.0MiB live, 44.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	9.507235949155088e+21	7.49693444439253e+31
8.0ms	-7.222644977138756e-34	-9.275762997469486e-35

Samples

12.0ms

256×

valid

Compiler

Compiled 288 to 192 computations (33.3% saved)

Precisions

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

ival-mult: 3.0ms (47.5% of total)

ival-sub: 1.0ms (15.8% of total)

ival-div: 1.0ms (15.8% 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

3.0MiB live, 3.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	9.507235949155088e+21	7.49693444439253e+31
0.0ms	-7.222644977138756e-34	-9.275762997469486e-35

Compiler

Compiled 238 to 172 computations (27.7% saved)

simplify9.0ms (0.2%)

Memory

-23.7MiB live, 15.3MiB allocated

Algorithm

1×	egg-herbie

Rules

14×	`*-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	43	190
1	51	190
2	56	190
3	58	190
4	59	190

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 x #s(literal -348449143727041/87112285931760246646623899502532662132736 binary64)) (.f64 (.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y))) (if (<=.f64 x #s(literal 5000000000000000069686058479707049565356032 binary64)) (.f64 (/.f64 y (-.f64 x y)) (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y)))))
(if (<=.f64 y #s(literal -24999999999999998037050912417674828751887456843243115376093777762462075401915081118214315403786272357012341114459461372633104982736896 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (.f64 x #s(literal -2 binary64))) (if (<=.f64 y #s(literal 1149999999999999952329905145595513090026562833295853717342374943735577916578543926655308099436394738181726866694566628852272865988720050120450828933604928550054579971149956907008 binary64)) (.f64 (.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y))) #s(approx (/ ( (* x 2) y) (- x y)) (*.f64 x #s(literal -2 binary64)))))
(if (<=.f64 x #s(literal -2455322750715917/5846006549323611672814739330865132078623730171904 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (.f64 #s(literal 2 binary64) y)) (if (<=.f64 x #s(literal 4400000000000000033554432 binary64)) #s(approx (/ ( (* x 2) y) (- x y)) (.f64 x #s(literal -2 binary64))) #s(approx (/ ( (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y))))
(if (<=.f64 x #s(literal -2455322750715917/5846006549323611672814739330865132078623730171904 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (.f64 #s(literal 2 binary64) y)) (if (<=.f64 x #s(literal 4400000000000000033554432 binary64)) #s(approx (/ ( (* x 2) y) (- x y)) (.f64 x #s(literal -2 binary64))) #s(approx (/ ( (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y))))
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y))

Outputs
(if (<=.f64 x #s(literal -348449143727041/87112285931760246646623899502532662132736 binary64)) (.f64 (.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y))) (if (<=.f64 x #s(literal 5000000000000000069686058479707049565356032 binary64)) (.f64 (/.f64 y (-.f64 x y)) (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y)))))
(if (<=.f64 x #s(literal -348449143727041/87112285931760246646623899502532662132736 binary64)) (.f64 (.f64 #s(literal 2 binary64) y) (/.f64 x (-.f64 x y))) (if (<=.f64 x #s(literal 5000000000000000069686058479707049565356032 binary64)) (.f64 (.f64 #s(literal 2 binary64) x) (/.f64 y (-.f64 x y))) (.f64 (.f64 #s(literal 2 binary64) y) (/.f64 x (-.f64 x y)))))
(if (<=.f64 y #s(literal -24999999999999998037050912417674828751887456843243115376093777762462075401915081118214315403786272357012341114459461372633104982736896 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (.f64 x #s(literal -2 binary64))) (if (<=.f64 y #s(literal 1149999999999999952329905145595513090026562833295853717342374943735577916578543926655308099436394738181726866694566628852272865988720050120450828933604928550054579971149956907008 binary64)) (.f64 (.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y))) #s(approx (/ ( (* x 2) y) (- x y)) (*.f64 x #s(literal -2 binary64)))))
(if (<=.f64 y #s(literal -24999999999999998037050912417674828751887456843243115376093777762462075401915081118214315403786272357012341114459461372633104982736896 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (.f64 #s(literal -2 binary64) x)) (if (<=.f64 y #s(literal 1149999999999999952329905145595513090026562833295853717342374943735577916578543926655308099436394738181726866694566628852272865988720050120450828933604928550054579971149956907008 binary64)) (.f64 (.f64 #s(literal 2 binary64) y) (/.f64 x (-.f64 x y))) #s(approx (/ ( (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x))))
(if (<=.f64 x #s(literal -2455322750715917/5846006549323611672814739330865132078623730171904 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (.f64 #s(literal 2 binary64) y)) (if (<=.f64 x #s(literal 4400000000000000033554432 binary64)) #s(approx (/ ( (* x 2) y) (- x y)) (.f64 x #s(literal -2 binary64))) #s(approx (/ ( (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y))))
(if (<=.f64 x #s(literal -2455322750715917/5846006549323611672814739330865132078623730171904 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (.f64 #s(literal 2 binary64) y)) (if (<=.f64 x #s(literal 4400000000000000033554432 binary64)) #s(approx (/ ( (* x 2) y) (- x y)) (.f64 #s(literal -2 binary64) x)) #s(approx (/ ( (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y))))
(if (<=.f64 x #s(literal -2455322750715917/5846006549323611672814739330865132078623730171904 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (.f64 #s(literal 2 binary64) y)) (if (<=.f64 x #s(literal 4400000000000000033554432 binary64)) #s(approx (/ ( (* x 2) y) (- x y)) (.f64 x #s(literal -2 binary64))) #s(approx (/ ( (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y))))
(if (<=.f64 x #s(literal -2455322750715917/5846006549323611672814739330865132078623730171904 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (.f64 #s(literal 2 binary64) y)) (if (<=.f64 x #s(literal 4400000000000000033554432 binary64)) #s(approx (/ ( (* x 2) y) (- x y)) (.f64 #s(literal -2 binary64) x)) #s(approx (/ ( (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y))))
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y))

soundness476.0ms (8.8%)

Memory

5.0MiB live, 369.2MiB 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 220 to 96 computations (56.4% saved)

preprocess82.0ms (1.5%)

Memory: -0.3MiB live, 117.8MiB allocated
Compiler: Compiled 318 to 116 computations (63.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze13.0ms (0.2%)

sample1.1s (19.8%)

explain92.0ms (1.7%)

preprocess172.0ms (3.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify50.0ms (0.9%)

localize34.0ms (0.6%)

series11.0ms (0.2%)

simplify225.0ms (4.2%)

rewrite390.0ms (7.2%)

eval78.0ms (1.4%)

prune227.0ms (4.2%)

simplify206.0ms (3.8%)

localize127.0ms (2.4%)

series22.0ms (0.4%)

simplify254.0ms (4.7%)

rewrite223.0ms (4.1%)

eval194.0ms (3.6%)

prune276.0ms (5.1%)

simplify119.0ms (2.2%)

localize75.0ms (1.4%)

series251.0ms (4.6%)

simplify197.0ms (3.7%)

rewrite152.0ms (2.8%)

eval174.0ms (3.2%)

prune111.0ms (2.1%)

regimes12.0ms (0.2%)

regimes10.0ms (0.2%)

regimes8.0ms (0.2%)

regimes3.0ms (0.1%)

regimes4.0ms (0.1%)

bsearch19.0ms (0.4%)

bsearch14.0ms (0.3%)

bsearch23.0ms (0.4%)

bsearch1.0ms (0%)

simplify9.0ms (0.2%)

soundness476.0ms (8.8%)

preprocess82.0ms (1.5%)

end0.0ms (0%)

Profiling