Metrics for Graphics.Rendering.Chart.Axis.Types:hBufferRect from Chart-1.5.3

start0.0ms (0%)

Memory: 0.1MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample677.0ms (24.2%)

Memory

7.4MiB live, 1 040.5MiB allocated

Samples

357.0ms	7 629×	0	valid
35.0ms	303×	1	valid
23.0ms	176×	2	valid
22.0ms	148×	3	valid

Precisions

Click to see histograms. Total time spent on operations: 246.0ms

ival-div: 98.0ms (39.9% of total)

ival-sub: 73.0ms (29.7% of total)

ival-add: 44.0ms (17.9% of total)

adjust: 16.0ms (6.5% of total)

ival-true: 6.0ms (2.4% of total)

exact: 5.0ms (2% of total)

ival-assert: 3.0ms (1.2% of total)

Bogosity

explain117.0ms (4.2%)

Memory

0.2MiB live, 121.1MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(/.f64 (-.f64 x y) #s(literal 2 binary64))`
-	-	`y`
-	-	`#s(literal 2 binary64)`
-	-	`(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))`
-	-	`(-.f64 x y)`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

22.0ms	480×	0	valid
2.0ms	12×	3	valid
1.0ms	10×	2	valid
1.0ms	10×	1	valid

Compiler

Compiled 101 to 46 computations (54.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-div: 4.0ms (33.1% of total)

ival-sub: 4.0ms (33.1% of total)

ival-add: 3.0ms (24.8% of total)

adjust: 1.0ms (8.3% of total)

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

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

exact: 0.0ms (0% of total)

preprocess75.0ms (2.7%)

Memory

-6.9MiB live, 29.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	41
1	45	35
2	139	35
3	373	35
4	647	35
5	807	35
6	846	35
0	6	7
0	9	7
1	15	7
2	26	7
3	47	7
4	86	7
5	157	7
6	278	7
7	436	7
8	543	7
9	604	7
10	608	7
0	608	6

Stop Event

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

Calls

Call 1

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

Outputs
(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (-.f64 x y) x)

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify18.0ms (0.6%)

Memory

12.1MiB live, 12.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 x y)
cost-diff	128	(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))
cost-diff	384	(/.f64 (-.f64 x y) #s(literal 2 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	9	18
1	15	18
2	26	18
3	47	18
4	86	18
5	157	18
6	278	18
7	436	18
8	543	18
9	604	18
10	608	18
0	608	17

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize50.0ms (1.8%)

Memory

-30.7MiB live, 19.8MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 (-.f64 x y) #s(literal 2 binary64))
accuracy	0	(-.f64 x y)
accuracy	0.07421875	(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))

Samples

39.0ms	240×	0	valid
1.0ms	6×	3	valid
1.0ms	5×	2	valid
0.0ms	5×	1	valid

Compiler

Compiled 38 to 14 computations (63.2% saved)

Precisions

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

ival-div: 2.0ms (33.9% of total)

ival-sub: 2.0ms (33.9% of total)

ival-add: 1.0ms (17% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory

4.1MiB live, 4.1MiB allocated

Counts

3 → 72

Calls

Call 1

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

Inputs

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

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

#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())

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

Calls

6 calls:

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

simplify136.0ms (4.9%)

Memory

8.3MiB live, 79.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	387
1	176	351
2	487	351
3	1345	315
4	2959	315
5	4565	315
6	6536	315
7	7586	315
0	8072	297

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 69

Calls

Call 1

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

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

rewrite215.0ms (7.7%)

Memory

13.2MiB live, 127.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
0	9	15
1	48	15
2	400	15
3	5080	15
0	8183	14

Stop Event

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

Counts

3 → 353

Calls

Call 1

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

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

eval89.0ms (3.2%)

Memory: 23.1MiB live, 97.5MiB allocated
Compiler: Compiled 7 474 to 1 131 computations (84.9% saved)

prune24.0ms (0.9%)

Memory

-42.5MiB live, 44.1MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	417	5	422
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	418	5	423

Accuracy

100.0%

Counts

423 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)
▶	60.2%	(+.f64 x #s(approx (/ (- x y) 2) (*.f64 y #s(literal -1/2 binary64))))
▶	100.0%	#s(approx (+ x (/ (- x y) 2)) (fma.f64 #s(literal 3/2 binary64) x (*.f64 y #s(literal -1/2 binary64))))
▶	52.2%	#s(approx (+ x (/ (- x y) 2)) (*.f64 y #s(literal -1/2 binary64)))
▶	49.7%	#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x))

Compiler

Compiled 54 to 56 computations (-3.7% saved)

simplify31.0ms (1.1%)

Memory

3.4MiB live, 40.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 y x)
cost-diff	0	(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)
cost-diff	0	(*.f64 y #s(literal -1/2 binary64))
cost-diff	0	#s(approx (/ (- x y) 2) (*.f64 y #s(literal -1/2 binary64)))
cost-diff	0	(+.f64 x #s(approx (/ (- x y) 2) (*.f64 y #s(literal -1/2 binary64))))
cost-diff	0	(*.f64 y #s(literal -1/2 binary64))
cost-diff	0	#s(approx (+ x (/ (- x y) 2)) (*.f64 y #s(literal -1/2 binary64)))
cost-diff	0	(*.f64 #s(literal 3/2 binary64) x)
cost-diff	0	#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x))
cost-diff	0	(*.f64 y #s(literal -1/2 binary64))
cost-diff	0	#s(approx (+ x (/ (- x y) 2)) (fma.f64 #s(literal 3/2 binary64) x (*.f64 y #s(literal -1/2 binary64))))
cost-diff	128	(fma.f64 #s(literal 3/2 binary64) x (*.f64 y #s(literal -1/2 binary64)))

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	18	97
0	25	97
1	39	97
2	57	97
3	98	97
4	177	97
5	331	94
6	661	94
7	792	94
8	815	94
9	835	94
10	842	94
11	844	94
0	844	94

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (+ x (/ (- x y) 2)) (fma.f64 #s(literal 3/2 binary64) x (*.f64 y #s(literal -1/2 binary64))))
(fma.f64 #s(literal 3/2 binary64) x (*.f64 y #s(literal -1/2 binary64)))
#s(literal 3/2 binary64)
x
(*.f64 y #s(literal -1/2 binary64))
y
#s(literal -1/2 binary64)
#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x))
(*.f64 #s(literal 3/2 binary64) x)
#s(literal 3/2 binary64)
x
#s(approx (+ x (/ (- x y) 2)) (*.f64 y #s(literal -1/2 binary64)))
(*.f64 y #s(literal -1/2 binary64))
y
#s(literal -1/2 binary64)
(+.f64 x #s(approx (/ (- x y) 2) (*.f64 y #s(literal -1/2 binary64))))
x
#s(approx (/ (- x y) 2) (*.f64 y #s(literal -1/2 binary64)))
(*.f64 y #s(literal -1/2 binary64))
y
#s(literal -1/2 binary64)
(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)
(-.f64 y x)
y
x
#s(literal -1/2 binary64)

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

localize41.0ms (1.5%)

Memory

29.7MiB live, 67.7MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 y x)
accuracy	0.07421875	(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)
accuracy	0	(*.f64 y #s(literal -1/2 binary64))
accuracy	0.07421875	(+.f64 x #s(approx (/ (- x y) 2) (*.f64 y #s(literal -1/2 binary64))))
accuracy	30.58553798435648	#s(approx (/ (- x y) 2) (*.f64 y #s(literal -1/2 binary64)))
accuracy	0	(*.f64 y #s(literal -1/2 binary64))
accuracy	30.61977117505768	#s(approx (+ x (/ (- x y) 2)) (*.f64 y #s(literal -1/2 binary64)))
accuracy	0	(*.f64 #s(literal 3/2 binary64) x)
accuracy	32.20618107118744	#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x))
accuracy	0	(fma.f64 #s(literal 3/2 binary64) x (*.f64 y #s(literal -1/2 binary64)))
accuracy	0	(*.f64 y #s(literal -1/2 binary64))
accuracy	0	#s(approx (+ x (/ (- x y) 2)) (fma.f64 #s(literal 3/2 binary64) x (*.f64 y #s(literal -1/2 binary64))))

Samples

26.0ms	240×	0	valid
2.0ms	6×	3	valid
1.0ms	5×	2	valid
1.0ms	5×	1	valid

Compiler

Compiled 144 to 30 computations (79.2% saved)

Precisions

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

ival-mult: 5.0ms (32.8% of total)

ival-add: 4.0ms (26.3% of total)

ival-sub: 3.0ms (19.7% of total)

ival-div: 2.0ms (13.1% of total)

adjust: 1.0ms (6.6% of total)

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

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

exact: 0.0ms (0% of total)

series18.0ms (0.7%)

Memory

-21.8MiB live, 21.2MiB allocated

Counts

10 → 216

Calls

Call 1

Inputs
#s(alt (fma.f64 #s(literal 3/2 binary64) x (.f64 y #s(literal -1/2 binary64))) (patch (fma.f64 #s(literal 3/2 binary64) x (.f64 y #s(literal -1/2 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (+ x (/ (- x y) 2)) (fma.f64 #s(literal 3/2 binary64) x (.f64 y #s(literal -1/2 binary64)))) (patch #s(approx (+ x (/ (- x y) 2)) (fma.f64 #s(literal 3/2 binary64) x (.f64 y #s(literal -1/2 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 y #s(literal -1/2 binary64)) (patch (.f64 y #s(literal -1/2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ x (/ (- x y) 2)) (.f64 #s(literal 3/2 binary64) x)) (patch #s(approx (+ x (/ (- x y) 2)) (.f64 #s(literal 3/2 binary64) x)) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 3/2 binary64) x) (patch (.f64 #s(literal 3/2 binary64) x) #<representation binary64>) () ())
#s(alt #s(approx (+ x (/ (- x y) 2)) (.f64 y #s(literal -1/2 binary64))) (patch #s(approx (+ x (/ (- x y) 2)) (.f64 y #s(literal -1/2 binary64))) #<representation binary64>) () ())
#s(alt (+.f64 x #s(approx (/ (- x y) 2) (.f64 y #s(literal -1/2 binary64)))) (patch (+.f64 x #s(approx (/ (- x y) 2) (.f64 y #s(literal -1/2 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (/ (- x y) 2) (.f64 y #s(literal -1/2 binary64))) (patch #s(approx (/ (- x y) 2) (.f64 y #s(literal -1/2 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x) (patch (fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x) #<representation binary64>) () ())
#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())

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

Calls

6 calls:

Time	Variable		Point	Expression
8.0ms	x	@	inf	((+ (* 3/2 x) (* y -1/2)) (+ x (/ (- x y) 2)) (* y -1/2) (+ x (/ (- x y) 2)) (* 3/2 x) (+ x (/ (- x y) 2)) (+ x (/ (- x y) 2)) (/ (- x y) 2) (+ (* (- y x) -1/2) x) (- y x))
1.0ms	y	@	inf	((+ (* 3/2 x) (* y -1/2)) (+ x (/ (- x y) 2)) (* y -1/2) (+ x (/ (- x y) 2)) (* 3/2 x) (+ x (/ (- x y) 2)) (+ x (/ (- x y) 2)) (/ (- x y) 2) (+ (* (- y x) -1/2) x) (- y x))
1.0ms	y	@	0	((+ (* 3/2 x) (* y -1/2)) (+ x (/ (- x y) 2)) (* y -1/2) (+ x (/ (- x y) 2)) (* 3/2 x) (+ x (/ (- x y) 2)) (+ x (/ (- x y) 2)) (/ (- x y) 2) (+ (* (- y x) -1/2) x) (- y x))
1.0ms	y	@	-inf	((+ (* 3/2 x) (* y -1/2)) (+ x (/ (- x y) 2)) (* y -1/2) (+ x (/ (- x y) 2)) (* 3/2 x) (+ x (/ (- x y) 2)) (+ x (/ (- x y) 2)) (/ (- x y) 2) (+ (* (- y x) -1/2) x) (- y x))
1.0ms	x	@	-inf	((+ (* 3/2 x) (* y -1/2)) (+ x (/ (- x y) 2)) (* y -1/2) (+ x (/ (- x y) 2)) (* 3/2 x) (+ x (/ (- x y) 2)) (+ x (/ (- x y) 2)) (/ (- x y) 2) (+ (* (- y x) -1/2) x) (- y x))

simplify138.0ms (4.9%)

Memory

33.4MiB live, 145.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	1143
1	199	1143
2	547	1143
3	1541	1107
4	3388	1107
5	4700	1107
6	6583	1107
7	7792	1107
0	8020	999

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 213

Calls

Call 1

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

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

rewrite219.0ms (7.8%)

Memory

-9.5MiB live, 238.2MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	77
0	25	77
1	112	77
2	924	74
0	9496	74

Stop Event

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

Counts

10 → 290

Calls

Call 1

Inputs
(fma.f64 #s(literal 3/2 binary64) x (*.f64 y #s(literal -1/2 binary64)))
#s(approx (+ x (/ (- x y) 2)) (fma.f64 #s(literal 3/2 binary64) x (*.f64 y #s(literal -1/2 binary64))))
(*.f64 y #s(literal -1/2 binary64))
#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x))
(*.f64 #s(literal 3/2 binary64) x)
#s(approx (+ x (/ (- x y) 2)) (*.f64 y #s(literal -1/2 binary64)))
(+.f64 x #s(approx (/ (- x y) 2) (*.f64 y #s(literal -1/2 binary64))))
#s(approx (/ (- x y) 2) (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)
(-.f64 y x)

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

eval97.0ms (3.5%)

Memory: -22.7MiB live, 135.0MiB allocated
Compiler: Compiled 7 740 to 888 computations (88.5% saved)

prune38.0ms (1.4%)

Memory

8.8MiB live, 47.4MiB allocated

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	547	0	547
Fresh	0	0	0
Picked	0	5	5
Done	0	0	0
Total	547	5	552

Accuracy

100.0%

Counts

552 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)
✓	60.2%	(+.f64 x #s(approx (/ (- x y) 2) (*.f64 y #s(literal -1/2 binary64))))
✓	100.0%	#s(approx (+ x (/ (- x y) 2)) (fma.f64 #s(literal 3/2 binary64) x (*.f64 y #s(literal -1/2 binary64))))
✓	52.2%	#s(approx (+ x (/ (- x y) 2)) (*.f64 y #s(literal -1/2 binary64)))
✓	49.7%	#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x))

Compiler

Compiled 61 to 46 computations (24.6% saved)

regimes12.0ms (0.4%)

Memory

-13.7MiB live, 23.7MiB allocated

Counts

6 → 1

Calls

Call 1

Inputs
#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x))
#s(approx (+ x (/ (- x y) 2)) (*.f64 y #s(literal -1/2 binary64)))
(+.f64 x #s(approx (/ (- x y) 2) (*.f64 y #s(literal -1/2 binary64))))
(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)
#s(approx (+ x (/ (- x y) 2)) (fma.f64 #s(literal 3/2 binary64) x (*.f64 y #s(literal -1/2 binary64))))
(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))

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

Calls

3 calls:

6.0ms	x
3.0ms	(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))
3.0ms	y

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes7.0ms (0.3%)

Memory

20.6MiB live, 20.6MiB allocated

Counts

4 → 1

Calls

Call 1

Inputs
#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x))
#s(approx (+ x (/ (- x y) 2)) (*.f64 y #s(literal -1/2 binary64)))
(+.f64 x #s(approx (/ (- x y) 2) (*.f64 y #s(literal -1/2 binary64))))
(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`y`
99.9%	1	`(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes6.0ms (0.2%)

Memory

17.3MiB live, 17.3MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs

#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x))

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

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
79.2%	3	`x`
78.0%	3	`y`
61.8%	2	`(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes9.0ms (0.3%)

Memory

-35.4MiB live, 9.7MiB allocated

Counts

2 → 3

Calls

Call 1

Inputs
#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x))
#s(approx (+ x (/ (- x y) 2)) (*.f64 y #s(literal -1/2 binary64)))

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

Calls

2 calls:

2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
76.1%	3	`y`
76.7%	3	`x`

Compiler

Compiled 2 to 4 computations (-100% saved)

regimes5.0ms (0.2%)

Memory

12.5MiB live, 12.5MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x))

Outputs
#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x))

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
49.7%	1	`(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))`
49.7%	1	`y`
49.7%	1	`x`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch22.0ms (0.8%)

Memory

14.1MiB live, 51.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	1.1527084880869308e+98	4.268097629663394e+100
7.0ms	-4.906554476387943e-6	-1.3988171539116562e-6

Samples

8.0ms	188×	0	valid
1.0ms	9×	2	valid
1.0ms	8×	1	valid
1.0ms	3×	3	valid

Compiler

Compiled 140 to 180 computations (-28.6% saved)

Precisions

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

ival-div: 2.0ms (39.6% of total)

adjust: 1.0ms (19.8% of total)

ival-sub: 1.0ms (19.8% of total)

ival-add: 1.0ms (19.8% of total)

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

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

exact: 0.0ms (0% of total)

bsearch18.0ms (0.6%)

Memory

-16.9MiB live, 21.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	1.8149090937144154e+66	2.914523977230179e+81
1.0ms	-4.906554476387943e-6	-1.3988171539116562e-6

Samples

6.0ms	153×	0	valid
0.0ms	3×	2	valid
0.0ms	3×	1	valid
0.0ms	1×	3	valid

Compiler

Compiled 130 to 191 computations (-46.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-div: 1.0ms (30.8% of total)

ival-sub: 1.0ms (30.8% of total)

ival-add: 1.0ms (30.8% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

simplify36.0ms (1.3%)

Memory

1.7MiB live, 40.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	113
1	33	113
2	38	113
3	40	113
4	41	113

Stop Event

1×

saturated

Calls

Call 1

Inputs
#s(approx (+ x (/ (- x y) 2)) (fma.f64 #s(literal 3/2 binary64) x (*.f64 y #s(literal -1/2 binary64))))
(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)
(if (<=.f64 x #s(literal -7791904696734915/4722366482869645213696 binary64)) #s(approx (+ x (/ (- x y) 2)) (.f64 #s(literal 3/2 binary64) x)) (if (<=.f64 x #s(literal 509999999999999988198118320663835226961916691820140557794177605160709684549612234277718045925310464 binary64)) (+.f64 x #s(approx (/ (- x y) 2) (.f64 y #s(literal -1/2 binary64)))) #s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x))))
(if (<=.f64 x #s(literal -7791904696734915/4722366482869645213696 binary64)) #s(approx (+ x (/ (- x y) 2)) (.f64 #s(literal 3/2 binary64) x)) (if (<=.f64 x #s(literal 5600000000000000142778372650239069176146001402561132016431190245376 binary64)) #s(approx (+ x (/ (- x y) 2)) (.f64 y #s(literal -1/2 binary64))) #s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x))))
#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x))

Outputs
#s(approx (+ x (/ (- x y) 2)) (fma.f64 #s(literal 3/2 binary64) x (*.f64 y #s(literal -1/2 binary64))))
#s(approx (+ x (/ (- x y) 2)) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)))
(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)
(if (<=.f64 x #s(literal -7791904696734915/4722366482869645213696 binary64)) #s(approx (+ x (/ (- x y) 2)) (.f64 #s(literal 3/2 binary64) x)) (if (<=.f64 x #s(literal 509999999999999988198118320663835226961916691820140557794177605160709684549612234277718045925310464 binary64)) (+.f64 x #s(approx (/ (- x y) 2) (.f64 y #s(literal -1/2 binary64)))) #s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x))))
(if (<=.f64 x #s(literal -7791904696734915/4722366482869645213696 binary64)) #s(approx (+ x (/ (- x y) 2)) (.f64 x #s(literal 3/2 binary64))) (if (<=.f64 x #s(literal 509999999999999988198118320663835226961916691820140557794177605160709684549612234277718045925310464 binary64)) (+.f64 #s(approx (/ (- x y) 2) (.f64 #s(literal -1/2 binary64) y)) x) #s(approx (+ x (/ (- x y) 2)) (*.f64 x #s(literal 3/2 binary64)))))
(if (<=.f64 x #s(literal -7791904696734915/4722366482869645213696 binary64)) #s(approx (+ x (/ (- x y) 2)) (.f64 #s(literal 3/2 binary64) x)) (if (<=.f64 x #s(literal 5600000000000000142778372650239069176146001402561132016431190245376 binary64)) #s(approx (+ x (/ (- x y) 2)) (.f64 y #s(literal -1/2 binary64))) #s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x))))
(if (<=.f64 x #s(literal -7791904696734915/4722366482869645213696 binary64)) #s(approx (+ x (/ (- x y) 2)) (.f64 x #s(literal 3/2 binary64))) (if (<=.f64 x #s(literal 5600000000000000142778372650239069176146001402561132016431190245376 binary64)) #s(approx (+ x (/ (- x y) 2)) (.f64 #s(literal -1/2 binary64) y)) #s(approx (+ x (/ (- x y) 2)) (*.f64 x #s(literal 3/2 binary64)))))
#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x))
#s(approx (+ x (/ (- x y) 2)) (*.f64 x #s(literal 3/2 binary64)))

soundness635.0ms (22.7%)

Memory

16.1MiB live, 334.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
0	9	15
1	48	15
2	400	15
3	5080	15
0	8183	14
0	58	387
1	176	351
2	487	351
3	1345	315
4	2959	315
5	4565	315
6	6536	315
7	7586	315
0	8072	297

Stop Event

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

Compiler

Compiled 95 to 60 computations (36.8% saved)

preprocess59.0ms (2.1%)

Memory: -27.2MiB live, 134.5MiB allocated
Compiler: Compiled 146 to 74 computations (49.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	16	41
1	45	35
2	139	35
3	373	35
4	647	35
5	807	35
6	846	35
0	6	7
0	9	7
1	15	7
2	26	7
3	47	7
4	86	7
5	157	7
6	278	7
7	436	7
8	543	7
9	604	7
10	608	7
0	608	6

Iter	Nodes	Cost
0	6	18
0	9	18
1	15	18
2	26	18
3	47	18
4	86	18
5	157	18
6	278	18
7	436	18
8	543	18
9	604	18
10	608	18
0	608	17

Iter	Nodes	Cost
0	18	97
0	25	97
1	39	97
2	57	97
3	98	97
4	177	97
5	331	94
6	661	94
7	792	94
8	815	94
9	835	94
10	842	94
11	844	94
0	844	94

Iter	Nodes	Cost
0	16	41
1	45	35
2	139	35
3	373	35
4	647	35
5	807	35
6	846	35
0	6	7
0	9	7
1	15	7
2	26	7
3	47	7
4	86	7
5	157	7
6	278	7
7	436	7
8	543	7
9	604	7
10	608	7
0	608	6

Iter	Nodes	Cost
0	6	18
0	9	18
1	15	18
2	26	18
3	47	18
4	86	18
5	157	18
6	278	18
7	436	18
8	543	18
9	604	18
10	608	18
0	608	17

Iter	Nodes	Cost
0	18	97
0	25	97
1	39	97
2	57	97
3	98	97
4	177	97
5	331	94
6	661	94
7	792	94
8	815	94
9	835	94
10	842	94
11	844	94
0	844	94

start0.0ms (0%)

analyze0.0ms (0%)

sample677.0ms (24.2%)

explain117.0ms (4.2%)

preprocess75.0ms (2.7%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify18.0ms (0.6%)

localize50.0ms (1.8%)

series4.0ms (0.1%)

simplify136.0ms (4.9%)

rewrite215.0ms (7.7%)

eval89.0ms (3.2%)

prune24.0ms (0.9%)

simplify31.0ms (1.1%)

localize41.0ms (1.5%)

series18.0ms (0.7%)

simplify138.0ms (4.9%)

rewrite219.0ms (7.8%)

eval97.0ms (3.5%)

prune38.0ms (1.4%)

regimes12.0ms (0.4%)

regimes7.0ms (0.3%)

regimes6.0ms (0.2%)

regimes9.0ms (0.3%)

regimes5.0ms (0.2%)

bsearch22.0ms (0.8%)

bsearch18.0ms (0.6%)

simplify36.0ms (1.3%)

soundness635.0ms (22.7%)

preprocess59.0ms (2.1%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	16	41
1	45	35
2	139	35
3	373	35
4	647	35
5	807	35
6	846	35
0	6	7
0	9	7
1	15	7
2	26	7
3	47	7
4	86	7
5	157	7
6	278	7
7	436	7
8	543	7
9	604	7
10	608	7
0	608	6

Iter	Nodes	Cost
0	6	18
0	9	18
1	15	18
2	26	18
3	47	18
4	86	18
5	157	18
6	278	18
7	436	18
8	543	18
9	604	18
10	608	18
0	608	17

Iter	Nodes	Cost
0	18	97
0	25	97
1	39	97
2	57	97
3	98	97
4	177	97
5	331	94
6	661	94
7	792	94
8	815	94
9	835	94
10	842	94
11	844	94
0	844	94