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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze14.0ms (0.2%)

Memory

-18.9MiB live, 19.2MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 11 to 9 computations (18.2% saved)

sample1.1s (15.5%)

Memory

7.2MiB live, 883.0MiB allocated

Samples

628.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 406.0ms

ival-mult: 223.0ms (54.9% of total)

ival-sub: 105.0ms (25.8% of total)

ival-div: 65.0ms (16% of total)

ival-true: 6.0ms (1.5% of total)

exact: 5.0ms (1.2% of total)

ival-assert: 3.0ms (0.7% of total)

Bogosity

explain78.0ms (1.1%)

Memory

16.6MiB live, 169.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
56	-	2	(-5.101026956291465e-52 -5.612943525349267e-267)	`(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))`
0	-	0	-	`(*.f64 x #s(literal 2 binary64))`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`y`
0	-	0	-	`(-.f64 x y)`
0	-	0	-	`(.f64 (.f64 x #s(literal 2 binary64)) y)`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))`	o/n	28	0
↳	`(.f64 (.f64 x #s(literal 2 binary64)) y)`	overflow	28
`/.f64`	`(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))`	u/n	26	0
↳	`(.f64 (.f64 x #s(literal 2 binary64)) y)`	underflow	26

Confusion

	Predicted +	Predicted -
+	54	2
-	0	200

Precision

1.0

Recall

0.9642857142857143

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	54	0	2
-	0	0	200

Precision?

1.0

Recall?

0.9642857142857143

Freqs

test

number	freq
0	202
1	54

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

32.0ms

512×

valid

Compiler

Compiled 59 to 25 computations (57.6% saved)

Precisions

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

ival-mult: 7.0ms (51.7% of total)

ival-sub: 3.0ms (22.1% of total)

ival-div: 3.0ms (22.1% of total)

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

exact: 0.0ms (0% of total)

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

preprocess416.0ms (5.9%)

Memory

-208.2MiB live, 66.9MiB 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 9 to 7 computations (22.2% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	79.5%	(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify62.0ms (0.9%)

Memory

-6.7MiB live, 38.2MiB 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)

localize68.0ms (1%)

Memory

-13.0MiB live, 25.6MiB 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	13.111767448865042	(/.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 (47.4% 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)

series11.0ms (0.2%)

Memory

20.0MiB live, 20.0MiB allocated

Counts

4 → 84

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	y	@	0	((/ (* (* x 2) y) (- x y)) (* (* x 2) y) (* x 2) (- x y))
1.0ms	x	@	0	((/ (* (* x 2) y) (- x y)) (* (* x 2) y) (* x 2) (- x y))
1.0ms	y	@	inf	((/ (* (* x 2) y) (- x y)) (* (* x 2) y) (* x 2) (- x y))
1.0ms	x	@	inf	((/ (* (* x 2) y) (- x y)) (* (* x 2) y) (* x 2) (- x y))
1.0ms	x	@	-inf	((/ (* (* x 2) y) (- x y)) (* (* x 2) y) (* x 2) (- x y))

simplify174.0ms (2.5%)

Memory

11.5MiB live, 127.4MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 81

Calls

Call 1

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

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

rewrite341.0ms (4.8%)

Memory

-3.5MiB live, 229.5MiB 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
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eval69.0ms (1%)

Memory: 7.9MiB live, 160.8MiB allocated
Compiler: Compiled 11 154 to 1 335 computations (88% saved)

prune47.0ms (0.7%)

Memory

15.7MiB live, 55.1MiB allocated

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	479	7	486
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	480	7	487

Accuracy

100.0%

Counts

487 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	89.0%	(/.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 x y) y))
▶	90.2%	(.f64 (/.f64 y (-.f64 x y)) (.f64 #s(literal 2 binary64) x))
	86.5%	(.f64 (.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) x) (*.f64 y #s(literal 2 binary64)))
▶	50.9%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64)))
▶	49.7%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y))
▶	50.4%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 y #s(literal 2 binary64)))
▶	51.4%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x))

Compiler

Compiled 110 to 94 computations (14.5% saved)

simplify200.0ms (2.8%)

Memory

-24.0MiB live, 99.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	135
0	38	135
1	63	135
2	104	135
3	162	135
4	213	135
5	432	135
6	721	135
7	1604	135
8	2826	135
9	3535	135
10	3808	135
11	3901	135
12	3923	135
13	3925	135
14	4117	135
15	4189	135
16	4189	135
17	4189	135
18	4189	135
19	4261	135
20	4752	135
0	4752	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) x))
(*.f64 #s(literal -2 binary64) x)
#s(literal -2 binary64)
x
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 y #s(literal 2 binary64)))
(*.f64 y #s(literal 2 binary64))
y
#s(literal 2 binary64)
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y))
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64))
(/.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
y
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64)))
(*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64))
(fma.f64 (/.f64 x y) x x)
(/.f64 x y)
x
y
#s(literal -2 binary64)

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

localize90.0ms (1.3%)

Memory

-0.0MiB live, 120.3MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 x y)
accuracy	0	(*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64))
accuracy	0.05078125	(fma.f64 (/.f64 x y) x x)
accuracy	31.426369096645473	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64)))
accuracy	0	(/.f64 #s(literal 2 binary64) x)
accuracy	0.08984375	(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64))
accuracy	0.1015625	(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)
accuracy	32.20913350655442	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y))
accuracy	0	(*.f64 y #s(literal 2 binary64))
accuracy	31.740589197246848	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 y #s(literal 2 binary64)))
accuracy	0	(*.f64 #s(literal -2 binary64) x)
accuracy	31.127493071288697	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x))
accuracy	0	(-.f64 x y)
accuracy	0	(*.f64 #s(literal 2 binary64) x)
accuracy	0.0078125	(/.f64 y (-.f64 x y))
accuracy	6.2708552126437045	(.f64 (/.f64 y (-.f64 x y)) (.f64 #s(literal 2 binary64) x))

Samples

59.0ms

256×

valid

Compiler

Compiled 115 to 23 computations (80% saved)

Precisions

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

ival-add: 21.0ms (45% of total)

ival-mult: 14.0ms (30% of total)

ival-div: 7.0ms (15% of total)

ival-sub: 4.0ms (8.6% of total)

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

exact: 0.0ms (0% of total)

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

series25.0ms (0.3%)

Memory

10.9MiB live, 45.0MiB 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) x)) (patch #s(approx (/ ( (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x)) #<representation binary64>) () ())
#s(alt (.f64 #s(literal -2 binary64) x) (patch (.f64 #s(literal -2 binary64) x) #<representation binary64>) () ())
#s(alt #s(approx (/ (* (* x 2) y) (- x y)) (.f64 y #s(literal 2 binary64))) (patch #s(approx (/ ( (* x 2) y) (- x y)) (*.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (.f64 y #s(literal 2 binary64)) (patch (.f64 y #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (* (* x 2) y) (- x y)) (.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)) (patch #s(approx (/ ( (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y) (patch (.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) (patch (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 2 binary64) x) (patch (/.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())
#s(alt #s(approx (/ (* (* x 2) y) (- x y)) (.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64))) (patch #s(approx (/ ( (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64)) (patch (.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 x y) x x) (patch (fma.f64 (/.f64 x y) x x) #<representation binary64>) () ())
#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())

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

Calls

6 calls:

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

simplify381.0ms (5.4%)

Memory

25.0MiB live, 218.2MiB allocated

Algorithm

1×	egg-herbie

Rules

11 314×	`lower-fma.f64`
11 314×	`lower-fma.f32`
4 098×	`lower-*.f64`
4 098×	`lower-*.f32`
3 230×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	235	3056
1	709	2874
2	1989	2737
3	5938	2715
0	8235	2492

Stop Event

1×	iter limit
1×	node limit

Counts

336 → 330

Calls

Call 1

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

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

rewrite217.0ms (3.1%)

Memory

-28.2MiB live, 250.3MiB allocated

Rules

5 306×	`lower-*.f32`
5 294×	`lower-*.f64`
5 264×	`lower-fma.f32`
5 260×	`lower-fma.f64`
4 316×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	122
0	38	122
1	122	122
2	718	122
0	8452	122

Stop Event

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

Counts

16 → 646

Calls

Call 1

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

Outputs
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eval260.0ms (3.7%)

Memory: 12.7MiB live, 267.5MiB allocated
Compiler: Compiled 18 438 to 2 373 computations (87.1% saved)

prune39.0ms (0.6%)

Memory

-10.2MiB live, 65.1MiB allocated

Pruning

9 alts after pruning (4 fresh and 5 done)

	Pruned	Kept	Total
New	972	4	976
Fresh	2	0	2
Picked	0	5	5
Done	0	0	0
Total	974	9	983

Accuracy

100.0%

Counts

983 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	90.2%	(.f64 (/.f64 y (-.f64 x y)) (.f64 #s(literal 2 binary64) x))
▶	86.5%	(.f64 (.f64 (/.f64 #s(literal -2 binary64) (-.f64 y x)) x) y)
▶	40.6%	(.f64 #s(approx (/ y (- x y)) (/.f64 y x)) (.f64 #s(literal 2 binary64) x))
▶	49.7%	#s(approx (/ (* (* x 2) y) (- x y)) (fma.f64 (.f64 (/.f64 #s(literal 2 binary64) x) y) y (.f64 #s(literal 2 binary64) y)))
✓	50.9%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64)))
▶	50.9%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x))
✓	49.7%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y))
✓	50.4%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 y #s(literal 2 binary64)))
✓	51.4%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x))

Compiler

Compiled 72 to 60 computations (16.7% saved)

simplify271.0ms (3.8%)

Memory

-4.2MiB live, 77.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 y x)
cost-diff	0	(/.f64 #s(literal -2 binary64) (-.f64 y x))
cost-diff	0	(*.f64 (/.f64 #s(literal -2 binary64) (-.f64 y x)) x)
cost-diff	0	(.f64 (.f64 (/.f64 #s(literal -2 binary64) (-.f64 y x)) 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 #s(literal 2 binary64) x)
cost-diff	0	(*.f64 (/.f64 #s(literal 2 binary64) x) y)
cost-diff	0	#s(approx (/ (* (* x 2) y) (- x y)) (fma.f64 (.f64 (/.f64 #s(literal 2 binary64) x) y) y (.f64 #s(literal 2 binary64) y)))
cost-diff	320	(fma.f64 (.f64 (/.f64 #s(literal 2 binary64) x) y) y (.f64 #s(literal 2 binary64) y))
cost-diff	0	(/.f64 x y)
cost-diff	0	(fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64))
cost-diff	0	(*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x)
cost-diff	0	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x))

Rules

2 400×	`lower-fma.f32`
2 396×	`lower-fma.f64`
1 792×	`lower-*.f32`
1 778×	`lower-*.f64`
836×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	140
0	42	138
1	77	138
2	149	138
3	227	138
4	310	138
5	731	138
6	1615	138
7	3334	138
8	4240	138
9	4518	138
10	4553	138
11	4566	138
12	4574	138
13	4640	138
14	4776	138
15	4832	138
16	4832	138
17	4832	138
18	4896	138
19	4958	138
20	4958	138
21	5030	138
22	5524	138
0	5524	136

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

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

localize63.0ms (0.9%)

Memory

28.2MiB live, 101.4MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 y x)
accuracy	0.015625	(/.f64 #s(literal -2 binary64) (-.f64 y x))
accuracy	0.19140625	(*.f64 (/.f64 #s(literal -2 binary64) (-.f64 y x)) x)
accuracy	8.519687234478976	(.f64 (.f64 (/.f64 #s(literal -2 binary64) (-.f64 y x)) x) y)
accuracy	0	(/.f64 y x)
accuracy	0	(*.f64 #s(literal 2 binary64) x)
accuracy	6.2708552126437045	(.f64 #s(approx (/ y (- x y)) (/.f64 y x)) (.f64 #s(literal 2 binary64) x))
accuracy	31.861955658865035	#s(approx (/ y (- x y)) (/.f64 y x))
accuracy	0	(*.f64 #s(literal 2 binary64) y)
accuracy	0.09375	(fma.f64 (.f64 (/.f64 #s(literal 2 binary64) x) y) y (.f64 #s(literal 2 binary64) y))
accuracy	0.21484375	(*.f64 (/.f64 #s(literal 2 binary64) x) y)
accuracy	32.20913350655442	#s(approx (/ (* (* x 2) y) (- x y)) (fma.f64 (.f64 (/.f64 #s(literal 2 binary64) x) y) y (.f64 #s(literal 2 binary64) y)))
accuracy	0	(fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64))
accuracy	0	(/.f64 x y)
accuracy	0.0625	(*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x)
accuracy	31.426369096645473	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x))

Samples

48.0ms

256×

valid

Compiler

Compiled 117 to 27 computations (76.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-mult: 17.0ms (48.5% of total)

ival-div: 13.0ms (37.1% of total)

ival-sub: 3.0ms (8.6% of total)

ival-add: 2.0ms (5.7% of total)

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

exact: 0.0ms (0% of total)

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

series31.0ms (0.4%)

Memory

-31.7MiB live, 52.5MiB allocated

Counts

17 → 372

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	y	@	inf	((/ (* (* x 2) y) (- x y)) (* (+ (* (/ x y) -2) -2) x) (+ (* (/ x y) -2) -2) (/ x y) (+ (* (* (/ 2 x) y) y) (* 2 y)) (/ (* (* x 2) y) (- x y)) (* (/ 2 x) y) (/ 2 x) (* (/ y (- x y)) (* 2 x)) (/ y (- x y)) (/ y x) (* 2 x) (* (* (/ -2 (- y x)) x) y) (* (/ -2 (- y x)) x) (/ -2 (- y x)) (- y x) (* 2 y))
4.0ms	y	@	0	((/ (* (* x 2) y) (- x y)) (* (+ (* (/ x y) -2) -2) x) (+ (* (/ x y) -2) -2) (/ x y) (+ (* (* (/ 2 x) y) y) (* 2 y)) (/ (* (* x 2) y) (- x y)) (* (/ 2 x) y) (/ 2 x) (* (/ y (- x y)) (* 2 x)) (/ y (- x y)) (/ y x) (* 2 x) (* (* (/ -2 (- y x)) x) y) (* (/ -2 (- y x)) x) (/ -2 (- y x)) (- y x) (* 2 y))
2.0ms	x	@	-inf	((/ (* (* x 2) y) (- x y)) (* (+ (* (/ x y) -2) -2) x) (+ (* (/ x y) -2) -2) (/ x y) (+ (* (* (/ 2 x) y) y) (* 2 y)) (/ (* (* x 2) y) (- x y)) (* (/ 2 x) y) (/ 2 x) (* (/ y (- x y)) (* 2 x)) (/ y (- x y)) (/ y x) (* 2 x) (* (* (/ -2 (- y x)) x) y) (* (/ -2 (- y x)) x) (/ -2 (- y x)) (- y x) (* 2 y))
2.0ms	y	@	-inf	((/ (* (* x 2) y) (- x y)) (* (+ (* (/ x y) -2) -2) x) (+ (* (/ x y) -2) -2) (/ x y) (+ (* (* (/ 2 x) y) y) (* 2 y)) (/ (* (* x 2) y) (- x y)) (* (/ 2 x) y) (/ 2 x) (* (/ y (- x y)) (* 2 x)) (/ y (- x y)) (/ y x) (* 2 x) (* (* (/ -2 (- y x)) x) y) (* (/ -2 (- y x)) x) (/ -2 (- y x)) (- y x) (* 2 y))
2.0ms	x	@	inf	((/ (* (* x 2) y) (- x y)) (* (+ (* (/ x y) -2) -2) x) (+ (* (/ x y) -2) -2) (/ x y) (+ (* (* (/ 2 x) y) y) (* 2 y)) (/ (* (* x 2) y) (- x y)) (* (/ 2 x) y) (/ 2 x) (* (/ y (- x y)) (* 2 x)) (/ y (- x y)) (/ y x) (* 2 x) (* (* (/ -2 (- y x)) x) y) (* (/ -2 (- y x)) x) (/ -2 (- y x)) (- y x) (* 2 y))

simplify156.0ms (2.2%)

Memory

15.1MiB live, 275.9MiB allocated

Algorithm

1×	egg-herbie

Rules

10 550×	`lower-fma.f64`
10 550×	`lower-fma.f32`
3 740×	`lower-*.f64`
3 740×	`lower-*.f32`
2 818×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	351	3378
1	1088	3233
2	3124	3069
0	8270	2828

Stop Event

1×	iter limit
1×	node limit

Counts

372 → 369

Calls

Call 1

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

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

rewrite227.0ms (3.2%)

Memory

-7.7MiB live, 278.5MiB allocated

Rules

6 116×	`lower-fma.f32`
6 112×	`lower-fma.f64`
4 996×	`lower-*.f32`
4 982×	`lower-*.f64`
3 738×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	128
0	42	126
1	153	126
2	1004	126
0	8949	124

Stop Event

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

Counts

17 → 588

Calls

Call 1

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

Outputs
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eval271.0ms (3.8%)

Memory: 7.6MiB live, 202.8MiB allocated
Compiler: Compiled 16 119 to 2 376 computations (85.3% saved)

prune46.0ms (0.6%)

Memory

9.1MiB live, 56.0MiB allocated

Pruning

10 alts after pruning (3 fresh and 7 done)

	Pruned	Kept	Total
New	954	3	957
Fresh	0	0	0
Picked	1	3	4
Done	1	4	5
Total	956	10	966

Accuracy

100.0%

Counts

966 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	90.2%	(.f64 (/.f64 y (-.f64 x y)) (.f64 #s(literal 2 binary64) x))
✓	86.5%	(.f64 (.f64 (/.f64 #s(literal -2 binary64) (-.f64 y x)) x) y)
▶	50.3%	(.f64 (.f64 #s(approx (/ -2 (- y x)) (/.f64 #s(literal 2 binary64) x)) x) y)
▶	37.9%	(.f64 (.f64 #s(approx (/ -2 (- y x)) (/.f64 #s(literal -2 binary64) y)) x) y)
✓	40.6%	(.f64 #s(approx (/ y (- x y)) (/.f64 y x)) (.f64 #s(literal 2 binary64) x))
✓	50.9%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64)))
✓	50.9%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x))
✓	50.4%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 y #s(literal 2 binary64)))
▶	49.7%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 y x) y y)))
✓	51.4%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x))

Compiler

Compiled 77 to 66 computations (14.3% saved)

simplify128.0ms (1.8%)

Memory

13.4MiB live, 52.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

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

Rules

1 768×	`lower-fma.f32`
1 766×	`lower-fma.f64`
1 448×	`lower-*.f32`
1 438×	`lower-*.f64`
550×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	116
0	32	116
1	62	116
2	119	116
3	171	116
4	211	116
5	519	116
6	1089	116
7	2815	116
8	3502	116
9	3725	116
10	3742	116
11	3752	116
12	3756	116
13	3789	116
14	3953	116
15	4045	116
16	4045	116
0	4045	116

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize215.0ms (3%)

Memory

-9.7MiB live, 68.3MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 #s(literal 2 binary64) x)
accuracy	0.19140625	(*.f64 #s(approx (/ -2 (- y x)) (/.f64 #s(literal 2 binary64) x)) x)
accuracy	8.519687234478976	(.f64 (.f64 #s(approx (/ -2 (- y x)) (/.f64 #s(literal 2 binary64) x)) x) y)
accuracy	31.774412989268008	#s(approx (/ -2 (- y x)) (/.f64 #s(literal 2 binary64) x))
accuracy	0	(/.f64 #s(literal -2 binary64) y)
accuracy	0.19140625	(*.f64 #s(approx (/ -2 (- y x)) (/.f64 #s(literal -2 binary64) y)) x)
accuracy	8.519687234478976	(.f64 (.f64 #s(approx (/ -2 (- y x)) (/.f64 #s(literal -2 binary64) y)) x) y)
accuracy	31.140326256024572	#s(approx (/ -2 (- y x)) (/.f64 #s(literal -2 binary64) y))
accuracy	0	(/.f64 y x)
accuracy	0	(*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 y x) y y))
accuracy	0.09375	(fma.f64 (/.f64 y x) y y)
accuracy	32.20913350655442	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 y x) y y)))

Samples

204.0ms

256×

valid

Compiler

Compiled 87 to 20 computations (77% saved)

Precisions

Click to see histograms. Total time spent on operations: 115.0ms

ival-mult: 98.0ms (85.6% of total)

ival-div: 12.0ms (10.5% of total)

ival-sub: 2.0ms (1.7% of total)

ival-add: 1.0ms (0.9% of total)

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

exact: 0.0ms (0% of total)

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

series139.0ms (2%)

Memory

-2.7MiB live, 50.8MiB allocated

Counts

12 → 264

Calls

Call 1

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

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

Calls

6 calls:

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

simplify325.0ms (4.6%)

Memory

-7.8MiB live, 218.7MiB allocated

Algorithm

1×	egg-herbie

Rules

17 318×	`lower-fma.f64`
17 318×	`lower-fma.f32`
5 102×	`lower-*.f64`
5 102×	`lower-*.f32`
2 116×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	257	2888
1	753	2750
2	2063	2587
3	6888	2563
0	8322	2305

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 261

Calls

Call 1

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

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

rewrite326.0ms (4.6%)

Memory

-2.9MiB live, 120.9MiB allocated

Rules

4 738×	`lower-fma.f32`
4 736×	`lower-fma.f64`
4 650×	`lower-*.f32`
4 640×	`lower-*.f64`
3 838×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	107
0	32	107
1	120	107
2	744	107
0	8177	107

Stop Event

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

Counts

12 → 228

Calls

Call 1

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

Outputs
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eval81.0ms (1.1%)

Memory: 7.6MiB live, 81.0MiB allocated
Compiler: Compiled 7 903 to 1 050 computations (86.7% saved)

prune31.0ms (0.4%)

Memory

-18.6MiB live, 32.8MiB allocated

Pruning

10 alts after pruning (0 fresh and 10 done)

	Pruned	Kept	Total
New	489	0	489
Fresh	0	0	0
Picked	0	3	3
Done	0	7	7
Total	489	10	499

Accuracy

100.0%

Counts

499 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	90.2%	(.f64 (/.f64 y (-.f64 x y)) (.f64 #s(literal 2 binary64) x))
✓	86.5%	(.f64 (.f64 (/.f64 #s(literal -2 binary64) (-.f64 y x)) x) y)
✓	50.3%	(.f64 (.f64 #s(approx (/ -2 (- y x)) (/.f64 #s(literal 2 binary64) x)) x) y)
✓	37.9%	(.f64 (.f64 #s(approx (/ -2 (- y x)) (/.f64 #s(literal -2 binary64) y)) x) y)
✓	40.6%	(.f64 #s(approx (/ y (- x y)) (/.f64 y x)) (.f64 #s(literal 2 binary64) x))
✓	50.9%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64)))
✓	50.9%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x))
✓	50.4%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 y #s(literal 2 binary64)))
✓	49.7%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 y x) y y)))
✓	51.4%	#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x))

Compiler

Compiled 203 to 119 computations (41.4% saved)

regimes16.0ms (0.2%)

Memory

12.9MiB live, 12.9MiB allocated

Counts

15 → 3

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
99.8%	3	`x`
99.8%	3	`y`
99.4%	5	`(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))`

Compiler

Compiled 11 to 11 computations (0% saved)

regimes10.0ms (0.1%)

Memory

8.3MiB live, 8.3MiB allocated

Counts

13 → 3

Calls

Call 1

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

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

Calls

2 calls:

5.0ms	y
4.0ms	x

Results

Accuracy	Segments	Branch
99.8%	3	`x`
99.8%	3	`y`

Compiler

Compiled 2 to 4 computations (-100% saved)

regimes8.0ms (0.1%)

Memory

7.1MiB live, 7.1MiB allocated

Counts

10 → 3

Calls

Call 1

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

Outputs

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

Calls

2 calls:

4.0ms	y
4.0ms	x

Results

Accuracy	Segments	Branch
96.6%	3	`x`
95.1%	3	`y`

Compiler

Compiled 2 to 4 computations (-100% saved)

regimes112.0ms (1.6%)

Memory

-21.6MiB live, 16.2MiB allocated

Counts

9 → 3

Calls

Call 1

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

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

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

Calls

3 calls:

104.0ms	(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))
4.0ms	x
3.0ms	y

Results

Accuracy	Segments	Branch
73.8%	3	`y`
61.2%	3	`(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))`
84.5%	3	`x`

Compiler

Compiled 11 to 11 computations (0% saved)

regimes4.0ms (0.1%)

Memory

9.0MiB live, 9.0MiB allocated

Counts

8 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
84.5%	3	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes3.0ms (0%)

Memory

8.1MiB live, 8.1MiB allocated

Counts

7 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
84.4%	3	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes4.0ms (0.1%)

Memory

12.2MiB live, 12.2MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
51.4%	1	`(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 x y))`
51.4%	1	`y`
51.4%	1	`x`

Compiler

Compiled 11 to 11 computations (0% saved)

bsearch108.0ms (1.5%)

Memory

-35.1MiB live, 123.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	1.0908987115358188e-47	2.2245577091864015e-42
38.0ms	-3.5008065689048587e-74	-5.7102698833018816e-80

Samples

15.0ms

288×

valid

Compiler

Compiled 336 to 300 computations (10.7% saved)

Precisions

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

ival-mult: 6.0ms (63.9% of total)

ival-div: 2.0ms (21.3% of total)

ival-sub: 1.0ms (10.6% of total)

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

exact: 0.0ms (0% of total)

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

bsearch9.0ms (0.1%)

Memory

14.2MiB live, 14.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.0908987115358188e-47	2.2245577091864015e-42
7.0ms	-3.5008065689048587e-74	-5.7102698833018816e-80

Samples

4.0ms

80×

valid

Compiler

Compiled 336 to 300 computations (10.7% saved)

Precisions

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

ival-mult: 1.0ms (50% of total)

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

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

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

exact: 0.0ms (0% of total)

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

bsearch27.0ms (0.4%)

Memory

18.8MiB live, 55.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	4.9177854333633036e-192	3.840299033796938e-185
10.0ms	-1.0319090363728591e-148	-4.002939820495816e-152

Samples

14.0ms

272×

valid

Compiler

Compiled 318 to 284 computations (10.7% saved)

Precisions

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

ival-mult: 3.0ms (45.1% of total)

ival-div: 2.0ms (30.1% of total)

ival-sub: 1.0ms (15% of total)

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

exact: 0.0ms (0% of total)

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

bsearch23.0ms (0.3%)

Memory

3.0MiB live, 41.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	1.2997555484216074e-40	8.595483228600358e-36
10.0ms	-7.912294187679704e-73	-1.342399311920128e-73

Samples

12.0ms

240×

valid

Compiler

Compiled 207 to 222 computations (-7.2% saved)

Precisions

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

ival-mult: 5.0ms (66.3% of total)

ival-sub: 1.0ms (13.3% of total)

ival-div: 1.0ms (13.3% of total)

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

exact: 0.0ms (0% of total)

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

bsearch2.0ms (0%)

Memory

2.9MiB live, 2.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.2997555484216074e-40	8.595483228600358e-36
1.0ms	-7.912294187679704e-73	-1.342399311920128e-73

Compiler

Compiled 207 to 222 computations (-7.2% saved)

bsearch26.0ms (0.4%)

Memory

-13.0MiB live, 30.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
8.0ms	1.2997555484216074e-40	8.595483228600358e-36
15.0ms	-4.6911720107830664e-63	-2.0800881537779954e-72

Samples

11.0ms

240×

valid

Compiler

Compiled 156 to 228 computations (-46.2% saved)

Precisions

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

ival-mult: 3.0ms (50.7% of total)

ival-sub: 1.0ms (16.9% of total)

ival-div: 1.0ms (16.9% of total)

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

exact: 0.0ms (0% of total)

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

simplify35.0ms (0.5%)

Memory

-21.9MiB live, 54.6MiB allocated

Algorithm

1×	egg-herbie

Rules

20×	`-commutative-binary64-.f64`
8×	`+-commutative-binary64-+.f64`
8×	`sub-neg-binary64-neg.f64-+.f64--.f64`
4×	`neg-sub0-binary64--.f64-neg.f64`
4×	`neg-mul-1-binary64-*.f64-neg.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	278
1	70	278
2	78	278
3	82	278
4	84	278

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 y #s(literal -8912032396463377/254629497041810760783555711051172270131433549208242031329517556169297662470417088272924672 binary64)) (/.f64 (.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 x y) y)) (if (<=.f64 y #s(literal 8787942429541353/12554203470773361527671578846415332832204710888928069025792 binary64)) (.f64 (.f64 (/.f64 #s(literal -2 binary64) (-.f64 y x)) x) y) (.f64 (/.f64 y (-.f64 x y)) (*.f64 #s(literal 2 binary64) x))))
(if (<=.f64 y #s(literal -3946757204148067/254629497041810760783555711051172270131433549208242031329517556169297662470417088272924672 binary64)) (.f64 (/.f64 y (-.f64 x y)) (.f64 #s(literal 2 binary64) x)) (if (<=.f64 y #s(literal 8787942429541353/12554203470773361527671578846415332832204710888928069025792 binary64)) (.f64 (.f64 (/.f64 #s(literal -2 binary64) (-.f64 y x)) x) y) (.f64 (/.f64 y (-.f64 x y)) (.f64 #s(literal 2 binary64) x))))
(if (<=.f64 x #s(literal -2073099476525505/921377545122446619199598286374089084696513969828232526459034741270904336521520715841339532514076847544303802497745079321233052888165232576308943909041185557531590656 binary64)) (.f64 (.f64 (/.f64 #s(literal -2 binary64) (-.f64 y x)) x) y) (if (<=.f64 x #s(literal 4653939145124475/1224720827664335609236962600350409901130557945655466490308353887654080091579137561403602952202220552420938147431280980285494456125931768646260680344573194358953094033321469230156313571586348749061881856 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x)) (.f64 (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 y x)) x) y)))
(if (<=.f64 x #s(literal -4137729326929425/7957171782556586274486115970349133441607298412757563479047423630290551952200534008528896 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (.f64 y #s(literal 2 binary64))) (if (<=.f64 x #s(literal 4884829536510021/47890485652059026823698344598447161988085597568237568 binary64)) #s(approx (/ ( (* x 2) y) (- x y)) (.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64))) #s(approx (/ ( (* x 2) y) (- x y)) (*.f64 y #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal -4137729326929425/7957171782556586274486115970349133441607298412757563479047423630290551952200534008528896 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (.f64 y #s(literal 2 binary64))) (if (<=.f64 x #s(literal 4884829536510021/47890485652059026823698344598447161988085597568237568 binary64)) #s(approx (/ ( (* x 2) y) (- x y)) (.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x)) #s(approx (/ ( (* x 2) y) (- x y)) (*.f64 y #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal -5160214244974593/60708402882054033466233184588234965832575213720379360039119137804340758912662765568 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (.f64 y #s(literal 2 binary64))) (if (<=.f64 x #s(literal 8620287417370625/23945242826029513411849172299223580994042798784118784 binary64)) #s(approx (/ ( (* x 2) y) (- x y)) (.f64 #s(literal -2 binary64) x)) #s(approx (/ ( (* x 2) y) (- x y)) (*.f64 y #s(literal 2 binary64)))))
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x))

Outputs
(if (<=.f64 y #s(literal -8912032396463377/254629497041810760783555711051172270131433549208242031329517556169297662470417088272924672 binary64)) (/.f64 (.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 x y) y)) (if (<=.f64 y #s(literal 8787942429541353/12554203470773361527671578846415332832204710888928069025792 binary64)) (.f64 (.f64 (/.f64 #s(literal -2 binary64) (-.f64 y x)) x) y) (.f64 (/.f64 y (-.f64 x y)) (*.f64 #s(literal 2 binary64) x))))
(if (<=.f64 y #s(literal -8912032396463377/254629497041810760783555711051172270131433549208242031329517556169297662470417088272924672 binary64)) (/.f64 (.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 x y) y)) (if (<=.f64 y #s(literal 8787942429541353/12554203470773361527671578846415332832204710888928069025792 binary64)) (.f64 (.f64 (/.f64 #s(literal -2 binary64) (-.f64 y x)) x) y) (.f64 (/.f64 y (-.f64 x y)) (*.f64 x #s(literal 2 binary64)))))
(if (<=.f64 y #s(literal -3946757204148067/254629497041810760783555711051172270131433549208242031329517556169297662470417088272924672 binary64)) (.f64 (/.f64 y (-.f64 x y)) (.f64 #s(literal 2 binary64) x)) (if (<=.f64 y #s(literal 8787942429541353/12554203470773361527671578846415332832204710888928069025792 binary64)) (.f64 (.f64 (/.f64 #s(literal -2 binary64) (-.f64 y x)) x) y) (.f64 (/.f64 y (-.f64 x y)) (.f64 #s(literal 2 binary64) x))))
(if (<=.f64 y #s(literal -3946757204148067/254629497041810760783555711051172270131433549208242031329517556169297662470417088272924672 binary64)) (.f64 (/.f64 y (-.f64 x y)) (.f64 x #s(literal 2 binary64))) (if (<=.f64 y #s(literal 8787942429541353/12554203470773361527671578846415332832204710888928069025792 binary64)) (.f64 (.f64 (/.f64 #s(literal -2 binary64) (-.f64 y x)) x) y) (.f64 (/.f64 y (-.f64 x y)) (.f64 x #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal -2073099476525505/921377545122446619199598286374089084696513969828232526459034741270904336521520715841339532514076847544303802497745079321233052888165232576308943909041185557531590656 binary64)) (.f64 (.f64 (/.f64 #s(literal -2 binary64) (-.f64 y x)) x) y) (if (<=.f64 x #s(literal 4653939145124475/1224720827664335609236962600350409901130557945655466490308353887654080091579137561403602952202220552420938147431280980285494456125931768646260680344573194358953094033321469230156313571586348749061881856 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x)) (.f64 (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 y x)) x) y)))
(if (<=.f64 x #s(literal -4137729326929425/7957171782556586274486115970349133441607298412757563479047423630290551952200534008528896 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (.f64 y #s(literal 2 binary64))) (if (<=.f64 x #s(literal 4884829536510021/47890485652059026823698344598447161988085597568237568 binary64)) #s(approx (/ ( (* x 2) y) (- x y)) (.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64))) #s(approx (/ ( (* x 2) y) (- x y)) (*.f64 y #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal -4137729326929425/7957171782556586274486115970349133441607298412757563479047423630290551952200534008528896 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (.f64 #s(literal 2 binary64) y)) (if (<=.f64 x #s(literal 4884829536510021/47890485652059026823698344598447161988085597568237568 binary64)) #s(approx (/ ( (* x 2) y) (- x y)) (.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64))) #s(approx (/ ( (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y))))
(if (<=.f64 x #s(literal -4137729326929425/7957171782556586274486115970349133441607298412757563479047423630290551952200534008528896 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (.f64 y #s(literal 2 binary64))) (if (<=.f64 x #s(literal 4884829536510021/47890485652059026823698344598447161988085597568237568 binary64)) #s(approx (/ ( (* x 2) y) (- x y)) (.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x)) #s(approx (/ ( (* x 2) y) (- x y)) (*.f64 y #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal -4137729326929425/7957171782556586274486115970349133441607298412757563479047423630290551952200534008528896 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (.f64 #s(literal 2 binary64) y)) (if (<=.f64 x #s(literal 4884829536510021/47890485652059026823698344598447161988085597568237568 binary64)) #s(approx (/ ( (* x 2) y) (- x y)) (.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x)) #s(approx (/ ( (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y))))
(if (<=.f64 x #s(literal -5160214244974593/60708402882054033466233184588234965832575213720379360039119137804340758912662765568 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (.f64 y #s(literal 2 binary64))) (if (<=.f64 x #s(literal 8620287417370625/23945242826029513411849172299223580994042798784118784 binary64)) #s(approx (/ ( (* x 2) y) (- x y)) (.f64 #s(literal -2 binary64) x)) #s(approx (/ ( (* x 2) y) (- x y)) (*.f64 y #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal -5160214244974593/60708402882054033466233184588234965832575213720379360039119137804340758912662765568 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (.f64 #s(literal 2 binary64) y)) (if (<=.f64 x #s(literal 8620287417370625/23945242826029513411849172299223580994042798784118784 binary64)) #s(approx (/ ( (* x 2) y) (- x y)) (.f64 #s(literal -2 binary64) x)) #s(approx (/ ( (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y))))
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x))

soundness708.0ms (10%)

Memory

15.0MiB live, 658.5MiB allocated

Rules

14 398×	`lower-fma.f64`
14 398×	`lower-fma.f32`
11 314×	`lower-fma.f64`
11 314×	`lower-fma.f32`
5 632×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	122
0	38	122
1	122	122
2	718	122
0	8452	122
0	235	3056
1	709	2874
2	1989	2737
3	5938	2715
0	8235	2492
0	136	557
1	378	543
2	1014	523
3	3096	517
4	6425	517
0	8149	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
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit

Compiler

Compiled 404 to 186 computations (54% saved)

preprocess101.0ms (1.4%)

Memory: 9.1MiB live, 124.8MiB allocated
Compiler: Compiled 446 to 154 computations (65.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze14.0ms (0.2%)

sample1.1s (15.5%)

explain78.0ms (1.1%)

preprocess416.0ms (5.9%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify62.0ms (0.9%)

localize68.0ms (1%)

series11.0ms (0.2%)

simplify174.0ms (2.5%)

rewrite341.0ms (4.8%)

eval69.0ms (1%)

prune47.0ms (0.7%)

simplify200.0ms (2.8%)

localize90.0ms (1.3%)

series25.0ms (0.3%)

simplify381.0ms (5.4%)

rewrite217.0ms (3.1%)

eval260.0ms (3.7%)

prune39.0ms (0.6%)

simplify271.0ms (3.8%)

localize63.0ms (0.9%)

series31.0ms (0.4%)

simplify156.0ms (2.2%)

rewrite227.0ms (3.2%)

eval271.0ms (3.8%)

prune46.0ms (0.6%)

simplify128.0ms (1.8%)

localize215.0ms (3%)

series139.0ms (2%)

simplify325.0ms (4.6%)

rewrite326.0ms (4.6%)

eval81.0ms (1.1%)

prune31.0ms (0.4%)

regimes16.0ms (0.2%)

regimes10.0ms (0.1%)

regimes8.0ms (0.1%)

regimes112.0ms (1.6%)

regimes4.0ms (0.1%)

regimes3.0ms (0%)

regimes4.0ms (0.1%)

bsearch108.0ms (1.5%)

bsearch9.0ms (0.1%)

bsearch27.0ms (0.4%)

bsearch23.0ms (0.3%)

bsearch2.0ms (0%)

bsearch26.0ms (0.4%)

simplify35.0ms (0.5%)

soundness708.0ms (10%)

preprocess101.0ms (1.4%)

end0.0ms (0%)

Profiling