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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB 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)

sample740.0ms (13.8%)

Memory

28.6MiB live, 1 000.8MiB allocated

Samples

397.0ms	7 601×	0	valid
49.0ms	296×	1	valid
28.0ms	142×	3	valid
26.0ms	217×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 289.0ms

ival-div: 87.0ms (30.1% of total)

ival-sub: 85.0ms (29.4% of total)

ival-add: 81.0ms (28% of total)

adjust: 22.0ms (7.6% of total)

ival-true: 6.0ms (2.1% of total)

exact: 5.0ms (1.7% of total)

ival-assert: 3.0ms (1% of total)

Bogosity

explain105.0ms (2%)

Memory

7.6MiB live, 127.9MiB 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

51.0ms	466×	0	valid
2.0ms	18×	2	valid
2.0ms	12×	3	valid
1.0ms	16×	1	valid

Compiler

Compiled 49 to 22 computations (55.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 44.0ms

ival-div: 35.0ms (80.2% of total)

ival-sub: 3.0ms (6.9% of total)

ival-add: 3.0ms (6.9% of total)

adjust: 1.0ms (2.3% of total)

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

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

exact: 0.0ms (0% of total)

preprocess51.0ms (1%)

Memory

19.0MiB live, 92.4MiB allocated

Algorithm

1×	egg-herbie

Rules

560×	`lower-fma.f64`
560×	`lower-fma.f32`
208×	`lower-*.f64`
208×	`lower-*.f32`
164×	`sub-neg`

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

Compiler

Compiled 9 to 6 computations (33.3% saved)

eval0.0ms (0%)

Memory: 0.6MiB live, 0.6MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune10.0ms (0.2%)

Memory

-51.9MiB live, 2.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify30.0ms (0.6%)

Memory

2.3MiB live, 40.6MiB 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))

Rules

560×	`lower-fma.f64`
560×	`lower-fma.f32`
208×	`lower-*.f64`
208×	`lower-*.f32`
128×	`lower-+.f32`

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

localize22.0ms (0.4%)

Memory

16.6MiB live, 54.5MiB 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	0.09765625	(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))

Samples

12.0ms	233×	0	valid
3.0ms	6×	3	valid
1.0ms	9×	2	valid
1.0ms	8×	1	valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

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

ival-add: 3.0ms (38.1% of total)

ival-div: 2.0ms (25.4% of total)

ival-sub: 2.0ms (25.4% of total)

adjust: 1.0ms (12.7% 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

11.5MiB live, 11.5MiB 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 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 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 (* 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 (* 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 (* -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 (-.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 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 (* 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 (* 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 (* 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 (* -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 (* -1/2 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 0 x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (- x y) (taylor 0 x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (- x y) (taylor 0 x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (- x y) (taylor 0 x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ y x)))) (taylor inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ y x)))) (taylor inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ y x)))) (taylor inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ x y) 1)) (taylor inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ x y) 1)) (taylor inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ x y) 1)) (taylor inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor -inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1 (* -1 (/ x y))))) (taylor -inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1 (* -1 (/ x y))))) (taylor -inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1 (* -1 (/ x y))))) (taylor -inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())

Calls

18 calls:

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

simplify186.0ms (3.5%)

Memory

1.6MiB live, 233.5MiB allocated

Algorithm

1×	egg-herbie

Rules

7 504×	`lower-fma.f64`
7 504×	`lower-fma.f32`
2 794×	`lower-*.f64`
2 794×	`lower-*.f32`
1 196×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	351
1	176	351
2	487	351
3	1348	315
4	2968	315
5	4585	315
6	6569	315
7	7592	315
0	8078	297

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 69

Calls

Call 1

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

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

rewrite286.0ms (5.4%)

Memory

-2.9MiB live, 395.6MiB allocated

Rules

4 050×	`lower-fma.f64`
4 050×	`lower-fma.f32`
3 870×	`lower-*.f64`
3 870×	`lower-*.f32`
2 640×	`lower-/.f32`

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

eval53.0ms (1%)

Memory: 11.7MiB live, 133.1MiB allocated
Compiler: Compiled 8 964 to 1 111 computations (87.6% saved)

prune119.0ms (2.2%)

Memory

5.5MiB live, 161.6MiB allocated

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	407	15	422
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	408	15	423

Accuracy

100.0%

Counts

423 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	51.4%	(fma.f64 (fma.f64 x x (.f64 y (+.f64 x y))) (/.f64 (-.f64 x y) (.f64 #s(literal 2 binary64) (fma.f64 x x (*.f64 y (+.f64 x y))))) x)
	54.8%	(fma.f64 (pow.f64 (.f64 (-.f64 x y) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (.f64 (-.f64 x y) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) x)
	10.0%	(fma.f64 (/.f64 (.f64 (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))) #s(literal 1/2 binary64)) (fma.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x)) (.f64 (.f64 y (+.f64 x y)) (.f64 (.f64 y (+.f64 x y)) (.f64 y (+.f64 x y)))))) (fma.f64 (.f64 y (+.f64 x y)) (-.f64 (.f64 y (+.f64 x y)) (.f64 x x)) (.f64 x (.f64 x (*.f64 x x)))) x)
▶	99.8%	(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)
	55.1%	(fma.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (/.f64 #s(literal 1/2 binary64) (+.f64 x y)) x)
▶	99.8%	(fma.f64 x #s(literal 1/2 binary64) (fma.f64 y #s(literal -1/2 binary64) x))
▶	52.7%	(/.f64 (-.f64 (.f64 (-.f64 x y) (.f64 #s(literal 1/4 binary64) (-.f64 x y))) (*.f64 x x)) (fma.f64 (-.f64 x y) #s(literal 1/2 binary64) (neg.f64 x)))
	52.5%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 x y) #s(literal 1/2 binary64) (neg.f64 x)) (-.f64 (.f64 (-.f64 x y) (.f64 #s(literal 1/4 binary64) (-.f64 x y))) (*.f64 x x))))
	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x)))
	54.8%	(+.f64 x (pow.f64 (pow.f64 (*.f64 (-.f64 x y) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
▶	26.1%	(+.f64 x (/.f64 (.f64 (fma.f64 x x (.f64 y y)) (.f64 (-.f64 x y) (+.f64 x y))) (.f64 (.f64 #s(literal 2 binary64) (+.f64 x y)) (fma.f64 x x (.f64 y y)))))
	51.0%	(+.f64 x (/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y))) #s(literal -1 binary64))) #s(literal 2 binary64)))
	57.9%	(+.f64 x #s(approx (/ (- x y) 2) (*.f64 #s(literal -1/2 binary64) y)))
	52.8%	#s(approx (+ x (/ (- x y) 2)) (*.f64 x #s(literal 3/2 binary64)))
▶	49.2%	#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal -1/2 binary64) y))

Compiler

Compiled 566 to 272 computations (51.9% saved)

simplify247.0ms (4.6%)

Memory

-14.1MiB live, 346.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 x x (*.f64 y y))
cost-diff	0	(.f64 (fma.f64 x x (.f64 y y)) (*.f64 (-.f64 x y) (+.f64 x y)))
cost-diff	128	(+.f64 x (/.f64 (.f64 (fma.f64 x x (.f64 y y)) (.f64 (-.f64 x y) (+.f64 x y))) (.f64 (.f64 #s(literal 2 binary64) (+.f64 x y)) (fma.f64 x x (.f64 y y)))))
cost-diff	3456	(/.f64 (.f64 (fma.f64 x x (.f64 y y)) (.f64 (-.f64 x y) (+.f64 x y))) (.f64 (.f64 #s(literal 2 binary64) (+.f64 x y)) (fma.f64 x x (.f64 y y))))
cost-diff	0	(.f64 (-.f64 x y) (.f64 #s(literal 1/4 binary64) (-.f64 x y)))
cost-diff	0	(-.f64 (.f64 (-.f64 x y) (.f64 #s(literal 1/4 binary64) (-.f64 x y))) (*.f64 x x))
cost-diff	0	(/.f64 (-.f64 (.f64 (-.f64 x y) (.f64 #s(literal 1/4 binary64) (-.f64 x y))) (*.f64 x x)) (fma.f64 (-.f64 x y) #s(literal 1/2 binary64) (neg.f64 x)))
cost-diff	192	(fma.f64 (-.f64 x y) #s(literal 1/2 binary64) (neg.f64 x))
cost-diff	0	(fma.f64 y #s(literal -1/2 binary64) x)
cost-diff	192	(fma.f64 x #s(literal 1/2 binary64) (fma.f64 y #s(literal -1/2 binary64) x))
cost-diff	0	(*.f64 #s(literal -1/2 binary64) y)
cost-diff	0	#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal -1/2 binary64) y))
cost-diff	0	(-.f64 y x)
cost-diff	0	(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)

Rules

9 108×	`lower-fma.f32`
9 098×	`lower-fma.f64`
4 046×	`lower-*.f32`
4 028×	`lower-*.f64`
2 384×	`lower-+.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	32	222
0	58	198
1	126	198
2	398	178
3	1396	175
4	4710	171
0	8202	171

Stop Event

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

Calls

Call 1

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

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

localize153.0ms (2.9%)

Memory

12.2MiB live, 211.3MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0.09765625	(+.f64 x (/.f64 (.f64 (fma.f64 x x (.f64 y y)) (.f64 (-.f64 x y) (+.f64 x y))) (.f64 (.f64 #s(literal 2 binary64) (+.f64 x y)) (fma.f64 x x (.f64 y y)))))
accuracy	0.1171875	(.f64 (.f64 #s(literal 2 binary64) (+.f64 x y)) (fma.f64 x x (*.f64 y y)))
accuracy	0.15853500976844204	(.f64 (fma.f64 x x (.f64 y y)) (*.f64 (-.f64 x y) (+.f64 x y)))
accuracy	45.98872197976807	(/.f64 (.f64 (fma.f64 x x (.f64 y y)) (.f64 (-.f64 x y) (+.f64 x y))) (.f64 (.f64 #s(literal 2 binary64) (+.f64 x y)) (fma.f64 x x (.f64 y y))))
accuracy	0.0078125	(fma.f64 (-.f64 x y) #s(literal 1/2 binary64) (neg.f64 x))
accuracy	0.01171875	(.f64 (-.f64 x y) (.f64 #s(literal 1/4 binary64) (-.f64 x y)))
accuracy	17.421744957302987	(-.f64 (.f64 (-.f64 x y) (.f64 #s(literal 1/4 binary64) (-.f64 x y))) (*.f64 x x))
accuracy	28.969575393876582	(/.f64 (-.f64 (.f64 (-.f64 x y) (.f64 #s(literal 1/4 binary64) (-.f64 x y))) (*.f64 x x)) (fma.f64 (-.f64 x y) #s(literal 1/2 binary64) (neg.f64 x)))
accuracy	0	(fma.f64 y #s(literal -1/2 binary64) x)
accuracy	0.1015625	(fma.f64 x #s(literal 1/2 binary64) (fma.f64 y #s(literal -1/2 binary64) x))
accuracy	0	(*.f64 #s(literal -1/2 binary64) y)
accuracy	32.519944315495955	#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal -1/2 binary64) y))
accuracy	0	(-.f64 y x)
accuracy	0.09765625	(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)

Samples

51.0ms	217×	0	valid
48.0ms	15×	2	valid
8.0ms	9×	3	valid
6.0ms	15×	1	valid

Compiler

Compiled 233 to 36 computations (84.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 93.0ms

ival-mult: 38.0ms (40.8% of total)

ival-sub: 25.0ms (26.9% of total)

ival-add: 17.0ms (18.3% of total)

ival-div: 6.0ms (6.4% of total)

adjust: 5.0ms (5.4% of total)

ival-neg: 1.0ms (1.1% of total)

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

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

exact: 0.0ms (0% of total)

series31.0ms (0.6%)

Memory

10.8MiB live, 51.6MiB allocated

Counts

15 → 348

Calls

Call 1

Inputs
#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>) () ())
#s(alt #s(approx (+ x (/ (- x y) 2)) (.f64 #s(literal -1/2 binary64) y)) (patch #s(approx (+ x (/ (- x y) 2)) (.f64 #s(literal -1/2 binary64) y)) #<representation binary64>) () ())
#s(alt (.f64 #s(literal -1/2 binary64) y) (patch (.f64 #s(literal -1/2 binary64) y) #<representation binary64>) () ())
#s(alt (fma.f64 x #s(literal 1/2 binary64) (fma.f64 y #s(literal -1/2 binary64) x)) (patch (fma.f64 x #s(literal 1/2 binary64) (fma.f64 y #s(literal -1/2 binary64) x)) #<representation binary64>) () ())
#s(alt (fma.f64 y #s(literal -1/2 binary64) x) (patch (fma.f64 y #s(literal -1/2 binary64) x) #<representation binary64>) () ())
#s(alt (fma.f64 (-.f64 x y) #s(literal 1/2 binary64) (neg.f64 x)) (patch (fma.f64 (-.f64 x y) #s(literal 1/2 binary64) (neg.f64 x)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 (.f64 (-.f64 x y) (.f64 #s(literal 1/4 binary64) (-.f64 x y))) (.f64 x x)) (fma.f64 (-.f64 x y) #s(literal 1/2 binary64) (neg.f64 x))) (patch (/.f64 (-.f64 (.f64 (-.f64 x y) (.f64 #s(literal 1/4 binary64) (-.f64 x y))) (.f64 x x)) (fma.f64 (-.f64 x y) #s(literal 1/2 binary64) (neg.f64 x))) #<representation binary64>) () ())
#s(alt (-.f64 (.f64 (-.f64 x y) (.f64 #s(literal 1/4 binary64) (-.f64 x y))) (.f64 x x)) (patch (-.f64 (.f64 (-.f64 x y) (.f64 #s(literal 1/4 binary64) (-.f64 x y))) (.f64 x x)) #<representation binary64>) () ())
#s(alt (.f64 (-.f64 x y) (.f64 #s(literal 1/4 binary64) (-.f64 x y))) (patch (.f64 (-.f64 x y) (.f64 #s(literal 1/4 binary64) (-.f64 x y))) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (fma.f64 x x (.f64 y y)) (.f64 (-.f64 x y) (+.f64 x y))) (.f64 (.f64 #s(literal 2 binary64) (+.f64 x y)) (fma.f64 x x (.f64 y y)))) (patch (/.f64 (.f64 (fma.f64 x x (.f64 y y)) (.f64 (-.f64 x y) (+.f64 x y))) (.f64 (.f64 #s(literal 2 binary64) (+.f64 x y)) (fma.f64 x x (.f64 y y)))) #<representation binary64>) () ())
#s(alt (+.f64 x (/.f64 (.f64 (fma.f64 x x (.f64 y y)) (.f64 (-.f64 x y) (+.f64 x y))) (.f64 (.f64 #s(literal 2 binary64) (+.f64 x y)) (fma.f64 x x (.f64 y y))))) (patch (+.f64 x (/.f64 (.f64 (fma.f64 x x (.f64 y y)) (.f64 (-.f64 x y) (+.f64 x y))) (.f64 (.f64 #s(literal 2 binary64) (+.f64 x y)) (fma.f64 x x (.f64 y y))))) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 x x (.f64 y y)) (.f64 (-.f64 x y) (+.f64 x y))) (patch (.f64 (fma.f64 x x (.f64 y y)) (.f64 (-.f64 x y) (+.f64 x y))) #<representation binary64>) () ())
#s(alt (fma.f64 x x (.f64 y y)) (patch (fma.f64 x x (.f64 y y)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 #s(literal 2 binary64) (+.f64 x y)) (fma.f64 x x (.f64 y y))) (patch (.f64 (.f64 #s(literal 2 binary64) (+.f64 x y)) (fma.f64 x x (.f64 y y))) #<representation binary64>) () ())

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

Calls

87 calls:

Time	Variable		Point	Expression
6.0ms	y	@	0	(/ (- (* (- x y) (* 1/4 (- x y))) (* x x)) (+ (* (- x y) 1/2) (neg x)))
1.0ms	x	@	0	(/ (- (* (- x y) (* 1/4 (- x y))) (* x x)) (+ (* (- x y) 1/2) (neg x)))
1.0ms	y	@	inf	(* -1/2 y)
1.0ms	y	@	inf	(/ (- (* (- x y) (* 1/4 (- x y))) (* x x)) (+ (* (- x y) 1/2) (neg x)))
1.0ms	x	@	inf	(/ (- (* (- x y) (* 1/4 (- x y))) (* x x)) (+ (* (- x y) 1/2) (neg x)))

simplify261.0ms (4.9%)

Memory

-20.5MiB live, 343.0MiB allocated

Algorithm

1×	egg-herbie

Rules

8 108×	`lower-fma.f64`
8 108×	`lower-fma.f32`
4 958×	`lower-*.f64`
4 958×	`lower-*.f32`
2 758×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	531	3575
1	1769	3238
2	5708	3203
0	8411	2950

Stop Event

1×	iter limit
1×	node limit

Counts

348 → 342

Calls

Call 1

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

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

rewrite341.0ms (6.4%)

Memory

11.1MiB live, 508.6MiB allocated

Rules

5 910×	`lower-*.f32`
5 892×	`lower-*.f64`
5 242×	`lower-fma.f32`
5 232×	`lower-fma.f64`
3 214×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	172
0	58	136
1	262	103
2	2650	103
0	8188	100

Stop Event

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

Counts

15 → 1 049

Calls

Call 1

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

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

eval245.0ms (4.6%)

Memory: 25.1MiB live, 374.6MiB allocated
Compiler: Compiled 46 137 to 3 116 computations (93.2% saved)

prune308.0ms (5.8%)

Memory

-7.1MiB live, 319.7MiB allocated

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	1 438	2	1 440
Fresh	9	1	10
Picked	3	2	5
Done	0	0	0
Total	1 450	5	1 455

Accuracy

100.0%

Counts

1 455 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)
▶	57.9%	(+.f64 x #s(approx (/ (- x y) 2) (*.f64 #s(literal -1/2 binary64) y)))
▶	100.0%	#s(approx (/ (- (* (- x y) (* 1/4 (- x y))) (* x x)) (+ (* (- x y) 1/2) (neg x))) (fma.f64 x #s(literal 3/2 binary64) (*.f64 #s(literal -1/2 binary64) y)))
▶	52.8%	#s(approx (/ (- (* (- x y) (* 1/4 (- x y))) (* x x)) (+ (* (- x y) 1/2) (neg x))) (*.f64 x #s(literal 3/2 binary64)))
✓	49.2%	#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal -1/2 binary64) y))

Compiler

Compiled 37 to 24 computations (35.1% saved)

simplify415.0ms (7.8%)

Memory

-38.4MiB live, 303.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 #s(literal -1/2 binary64) y)
cost-diff	0	#s(approx (/ (- x y) 2) (*.f64 #s(literal -1/2 binary64) y))
cost-diff	0	(+.f64 x #s(approx (/ (- x y) 2) (*.f64 #s(literal -1/2 binary64) y)))
cost-diff	0	(*.f64 #s(literal -1/2 binary64) y)
cost-diff	0	(fma.f64 x #s(literal 3/2 binary64) (*.f64 #s(literal -1/2 binary64) y))
cost-diff	0	#s(approx (/ (- (* (- x y) (* 1/4 (- x y))) (* x x)) (+ (* (- x y) 1/2) (neg x))) (fma.f64 x #s(literal 3/2 binary64) (*.f64 #s(literal -1/2 binary64) y)))
cost-diff	0	(*.f64 x #s(literal 3/2 binary64))
cost-diff	0	#s(approx (/ (- (* (- x y) (* 1/4 (- x y))) (* x x)) (+ (* (- x y) 1/2) (neg x))) (*.f64 x #s(literal 3/2 binary64)))

Rules

13 942×	`lower-fma.f32`
13 940×	`lower-fma.f64`
2 674×	`lower-*.f32`
2 670×	`lower-*.f64`
1 992×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	99
0	28	97
1	54	97
2	98	97
3	288	97
4	747	93
5	2195	93
6	7315	93
0	8035	91

Stop Event

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

Calls

Call 1

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

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

localize74.0ms (1.4%)

Memory

19.5MiB live, 64.0MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 #s(literal -1/2 binary64) y)
accuracy	0.09765625	(+.f64 x #s(approx (/ (- x y) 2) (*.f64 #s(literal -1/2 binary64) y)))
accuracy	32.49762618937544	#s(approx (/ (- x y) 2) (*.f64 #s(literal -1/2 binary64) y))
accuracy	0	(fma.f64 x #s(literal 3/2 binary64) (*.f64 #s(literal -1/2 binary64) y))
accuracy	0	(*.f64 #s(literal -1/2 binary64) y)
accuracy	0	#s(approx (/ (- (* (- x y) (* 1/4 (- x y))) (* x x)) (+ (* (- x y) 1/2) (neg x))) (fma.f64 x #s(literal 3/2 binary64) (*.f64 #s(literal -1/2 binary64) y)))
accuracy	0	(*.f64 x #s(literal 3/2 binary64))
accuracy	30.21638965024678	#s(approx (/ (- (* (- x y) (* 1/4 (- x y))) (* x x)) (+ (* (- x y) 1/2) (neg x))) (*.f64 x #s(literal 3/2 binary64)))

Samples

45.0ms	217×	0	valid
5.0ms	15×	2	valid
4.0ms	9×	3	valid
3.0ms	15×	1	valid

Compiler

Compiled 83 to 23 computations (72.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-mult: 10.0ms (39.9% of total)

ival-div: 4.0ms (16% of total)

ival-add: 4.0ms (16% of total)

adjust: 3.0ms (12% of total)

ival-sub: 3.0ms (12% of total)

exact: 1.0ms (4% of total)

ival-neg: 1.0ms (4% of total)

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

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

series7.0ms (0.1%)

Memory

8.9MiB live, 8.9MiB allocated

Counts

7 → 144

Calls

Call 1

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

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

Calls

36 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	(* x 3/2)
0.0ms	x	@	inf	(* x 3/2)
0.0ms	x	@	0	(* x 3/2)
0.0ms	y	@	0	(+ (* x 3/2) (* -1/2 y))
0.0ms	y	@	inf	(+ (* x 3/2) (* -1/2 y))

simplify419.0ms (7.8%)

Memory

-15.7MiB live, 527.7MiB allocated

Algorithm

1×	egg-herbie

Rules

23 142×	`lower-fma.f64`
23 142×	`lower-fma.f32`
4 738×	`lower-*.f64`
4 738×	`lower-*.f32`
4 256×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	207	2290
1	674	2046
2	2203	1554
0	9688	1446

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 144

Calls

Call 1

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

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

rewrite342.0ms (6.4%)

Memory

11.1MiB live, 462.4MiB allocated

Rules

7 438×	`lower-fma.f32`
7 436×	`lower-fma.f64`
4 614×	`lower-/.f64`
4 614×	`lower-/.f32`
4 326×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	87
0	28	85
1	129	59
2	1122	57
0	8493	55

Stop Event

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

Counts

7 → 78

Calls

Call 1

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

Outputs
#s(approx (/ (- (* (- x y) (* 1/4 (- x y))) (* x x)) (+ (* (- x y) 1/2) (neg x))) (*.f64 x #s(literal 3/2 binary64)))
(*.f64 x #s(literal 3/2 binary64))
(*.f64 #s(literal 3/2 binary64) x)
#s(approx (/ (- (* (- x y) (* 1/4 (- x y))) (* x x)) (+ (* (- x y) 1/2) (neg x))) (fma.f64 x #s(literal 3/2 binary64) (*.f64 y #s(literal -1/2 binary64))))
(+.f64 (.f64 x #s(literal 3/2 binary64)) (.f64 y #s(literal -1/2 binary64)))
(+.f64 (.f64 y #s(literal -1/2 binary64)) (.f64 x #s(literal 3/2 binary64)))
(+.f64 (/.f64 (.f64 (.f64 x x) #s(literal 9/4 binary64)) (fma.f64 x #s(literal 3/2 binary64) (.f64 y #s(literal 1/2 binary64)))) (neg.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (fma.f64 x #s(literal 3/2 binary64) (.f64 y #s(literal 1/2 binary64))))))
(-.f64 (/.f64 (.f64 (.f64 x x) #s(literal 9/4 binary64)) (fma.f64 x #s(literal 3/2 binary64) (.f64 y #s(literal 1/2 binary64)))) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (fma.f64 x #s(literal 3/2 binary64) (.f64 y #s(literal 1/2 binary64)))))
(-.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (-.f64 (.f64 y #s(literal -1/2 binary64)) (.f64 x #s(literal 3/2 binary64)))) (/.f64 (.f64 (.f64 x x) #s(literal 9/4 binary64)) (-.f64 (.f64 y #s(literal -1/2 binary64)) (.f64 x #s(literal 3/2 binary64)))))
(fma.f64 x #s(literal 3/2 binary64) (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64)))
(fma.f64 #s(literal 3/2 binary64) x (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) y (*.f64 x #s(literal 3/2 binary64)))
(fma.f64 (.f64 (.f64 x x) #s(literal 9/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3/2 binary64) (.f64 y #s(literal 1/2 binary64)))) (neg.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (fma.f64 x #s(literal 3/2 binary64) (.f64 y #s(literal 1/2 binary64))))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 27/8 binary64) (.f64 (.f64 y (.f64 y y)) #s(literal -1/8 binary64))) (fma.f64 (.f64 x x) #s(literal 9/4 binary64) (.f64 (.f64 y #s(literal -1/2 binary64)) (-.f64 (.f64 y #s(literal -1/2 binary64)) (.f64 x #s(literal 3/2 binary64))))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 27/8 binary64) (.f64 (.f64 y (.f64 y y)) #s(literal -1/8 binary64))) (fma.f64 #s(literal 1/4 binary64) (.f64 y y) (-.f64 (.f64 (.f64 x x) #s(literal 9/4 binary64)) (.f64 (.f64 (*.f64 x #s(literal 3/2 binary64)) y) #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3/2 binary64) (*.f64 y #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 y y) (-.f64 (.f64 (.f64 x x) #s(literal 9/4 binary64)) (.f64 (.f64 (.f64 x #s(literal 3/2 binary64)) y) #s(literal -1/2 binary64)))) (fma.f64 (.f64 x (.f64 x x)) #s(literal 27/8 binary64) (.f64 (.f64 y (*.f64 y y)) #s(literal -1/8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3/2 binary64) (*.f64 y #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 y #s(literal -1/2 binary64)) (.f64 x #s(literal 3/2 binary64))) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 (.f64 x x) #s(literal 9/4 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3/2 binary64) (*.f64 y #s(literal -1/2 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 9/4 binary64)) (.f64 #s(literal 1/4 binary64) (.f64 y y))) (fma.f64 x #s(literal 3/2 binary64) (*.f64 y #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 27/8 binary64) (.f64 (.f64 y (.f64 y y)) #s(literal -1/8 binary64)))) (neg.f64 (fma.f64 (.f64 x x) #s(literal 9/4 binary64) (.f64 (.f64 y #s(literal -1/2 binary64)) (-.f64 (.f64 y #s(literal -1/2 binary64)) (.f64 x #s(literal 3/2 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 27/8 binary64) (.f64 (.f64 y (.f64 y y)) #s(literal -1/8 binary64)))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 y y) (-.f64 (.f64 (.f64 x x) #s(literal 9/4 binary64)) (.f64 (.f64 (*.f64 x #s(literal 3/2 binary64)) y) #s(literal -1/2 binary64))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 x x) #s(literal 9/4 binary64)) (.f64 #s(literal 1/4 binary64) (.f64 y y)))) (neg.f64 (fma.f64 x #s(literal 3/2 binary64) (*.f64 y #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 (.f64 x x) #s(literal 9/4 binary64))) (-.f64 (.f64 y #s(literal -1/2 binary64)) (.f64 x #s(literal 3/2 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 9/4 binary64)) (fma.f64 x #s(literal 3/2 binary64) (.f64 y #s(literal 1/2 binary64)))) (.f64 (fma.f64 x #s(literal 3/2 binary64) (.f64 y #s(literal 1/2 binary64))) (.f64 #s(literal 1/4 binary64) (.f64 y y)))) (.f64 (fma.f64 x #s(literal 3/2 binary64) (.f64 y #s(literal 1/2 binary64))) (fma.f64 x #s(literal 3/2 binary64) (*.f64 y #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 27/8 binary64) (.f64 (.f64 y (.f64 y y)) #s(literal -1/8 binary64))))) (neg.f64 (neg.f64 (fma.f64 (.f64 x x) #s(literal 9/4 binary64) (.f64 (.f64 y #s(literal -1/2 binary64)) (-.f64 (.f64 y #s(literal -1/2 binary64)) (.f64 x #s(literal 3/2 binary64))))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 (.f64 x x) #s(literal 9/4 binary64)) (.f64 #s(literal 1/4 binary64) (.f64 y y))))) (neg.f64 (neg.f64 (fma.f64 x #s(literal 3/2 binary64) (*.f64 y #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 (.f64 x x) #s(literal 9/4 binary64)))) (neg.f64 (-.f64 (.f64 y #s(literal -1/2 binary64)) (.f64 x #s(literal 3/2 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 x x) #s(literal 9/4 binary64)) (fma.f64 x #s(literal 3/2 binary64) (.f64 y #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (fma.f64 x #s(literal 3/2 binary64) (.f64 y #s(literal 1/2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 x x) #s(literal 9/4 binary64)) (fma.f64 x #s(literal 3/2 binary64) (.f64 y #s(literal 1/2 binary64)))) (/.f64 (.f64 (.f64 x x) #s(literal 9/4 binary64)) (fma.f64 x #s(literal 3/2 binary64) (.f64 y #s(literal 1/2 binary64)))) (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (fma.f64 x #s(literal 3/2 binary64) (.f64 y #s(literal 1/2 binary64)))) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (fma.f64 x #s(literal 3/2 binary64) (.f64 y #s(literal 1/2 binary64)))) (.f64 (/.f64 (.f64 (.f64 x x) #s(literal 9/4 binary64)) (fma.f64 x #s(literal 3/2 binary64) (.f64 y #s(literal 1/2 binary64)))) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (fma.f64 x #s(literal 3/2 binary64) (*.f64 y #s(literal 1/2 binary64))))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 x x) #s(literal 9/4 binary64)) (fma.f64 x #s(literal 3/2 binary64) (.f64 y #s(literal 1/2 binary64)))) (/.f64 (.f64 (.f64 x x) #s(literal 9/4 binary64)) (fma.f64 x #s(literal 3/2 binary64) (.f64 y #s(literal 1/2 binary64))))) (.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (fma.f64 x #s(literal 3/2 binary64) (.f64 y #s(literal 1/2 binary64)))) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (fma.f64 x #s(literal 3/2 binary64) (.f64 y #s(literal 1/2 binary64)))))) (+.f64 (/.f64 (.f64 (.f64 x x) #s(literal 9/4 binary64)) (fma.f64 x #s(literal 3/2 binary64) (.f64 y #s(literal 1/2 binary64)))) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (fma.f64 x #s(literal 3/2 binary64) (.f64 y #s(literal 1/2 binary64))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3/2 binary64) (*.f64 y #s(literal -1/2 binary64)))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 27/8 binary64) (.f64 (.f64 y (.f64 y y)) #s(literal -1/8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 9/4 binary64) (.f64 (.f64 y #s(literal -1/2 binary64)) (-.f64 (.f64 y #s(literal -1/2 binary64)) (*.f64 x #s(literal 3/2 binary64)))))))
(.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 27/8 binary64) (.f64 (.f64 y (.f64 y y)) #s(literal -1/8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 y y) (-.f64 (.f64 (.f64 x x) #s(literal 9/4 binary64)) (.f64 (.f64 (.f64 x #s(literal 3/2 binary64)) y) #s(literal -1/2 binary64))))))
(.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3/2 binary64) (.f64 y #s(literal -1/2 binary64))))
(.f64 (-.f64 (.f64 (.f64 x x) #s(literal 9/4 binary64)) (.f64 #s(literal 1/4 binary64) (.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3/2 binary64) (.f64 y #s(literal 1/2 binary64)))))
(.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 27/8 binary64) (.f64 (.f64 y (.f64 y y)) #s(literal -1/8 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 x x) #s(literal 9/4 binary64) (.f64 (.f64 y #s(literal -1/2 binary64)) (-.f64 (.f64 y #s(literal -1/2 binary64)) (*.f64 x #s(literal 3/2 binary64))))))))
(.f64 (neg.f64 (-.f64 (.f64 (.f64 x x) #s(literal 9/4 binary64)) (.f64 #s(literal 1/4 binary64) (.f64 y y)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x #s(literal 3/2 binary64) (.f64 y #s(literal 1/2 binary64))))))
(.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 (.f64 x x) #s(literal 9/4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y #s(literal -1/2 binary64)) (*.f64 x #s(literal 3/2 binary64)))))
(*.f64 y #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) y)
(+.f64 x #s(approx (/ (- x y) 2) (*.f64 y #s(literal -1/2 binary64))))
(+.f64 #s(approx (/ (- x y) 2) (*.f64 y #s(literal -1/2 binary64))) x)
(+.f64 (/.f64 (.f64 x x) (-.f64 x #s(approx (/ (- x y) 2) (.f64 y #s(literal -1/2 binary64))))) (neg.f64 (/.f64 (.f64 #s(approx (/ (- x y) 2) (.f64 y #s(literal -1/2 binary64))) #s(approx (/ (- x y) 2) (.f64 y #s(literal -1/2 binary64)))) (-.f64 x #s(approx (/ (- x y) 2) (.f64 y #s(literal -1/2 binary64)))))))
(-.f64 (/.f64 (.f64 x x) (-.f64 x #s(approx (/ (- x y) 2) (.f64 y #s(literal -1/2 binary64))))) (/.f64 (.f64 #s(approx (/ (- x y) 2) (.f64 y #s(literal -1/2 binary64))) #s(approx (/ (- x y) 2) (.f64 y #s(literal -1/2 binary64)))) (-.f64 x #s(approx (/ (- x y) 2) (.f64 y #s(literal -1/2 binary64))))))
(-.f64 (/.f64 (.f64 #s(approx (/ (- x y) 2) (.f64 y #s(literal -1/2 binary64))) #s(approx (/ (- x y) 2) (.f64 y #s(literal -1/2 binary64)))) (-.f64 #s(approx (/ (- x y) 2) (.f64 y #s(literal -1/2 binary64))) x)) (/.f64 (.f64 x x) (-.f64 #s(approx (/ (- x y) 2) (.f64 y #s(literal -1/2 binary64))) x)))
(fma.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (-.f64 x #s(approx (/ (- x y) 2) (.f64 y #s(literal -1/2 binary64))))) (neg.f64 (/.f64 (.f64 #s(approx (/ (- x y) 2) (.f64 y #s(literal -1/2 binary64))) #s(approx (/ (- 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 #s(literal 1 binary64) x #s(approx (/ (- x y) 2) (*.f64 y #s(literal -1/2 binary64))))
(fma.f64 #s(literal -1 binary64) (neg.f64 x) #s(approx (/ (- x y) 2) (*.f64 y #s(literal -1/2 binary64))))
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) #s(approx (/ (- x y) 2) (*.f64 y #s(literal -1/2 binary64))))
(/.f64 (fma.f64 #s(approx (/ (- x y) 2) (.f64 y #s(literal -1/2 binary64))) (.f64 #s(approx (/ (- x y) 2) (.f64 y #s(literal -1/2 binary64))) #s(approx (/ (- x y) 2) (.f64 y #s(literal -1/2 binary64)))) (.f64 x (.f64 x x))) (fma.f64 #s(approx (/ (- x y) 2) (.f64 y #s(literal -1/2 binary64))) (-.f64 #s(approx (/ (- x y) 2) (.f64 y #s(literal -1/2 binary64))) x) (*.f64 x x)))
(/.f64 (fma.f64 #s(approx (/ (- x y) 2) (.f64 y #s(literal -1/2 binary64))) (.f64 #s(approx (/ (- x y) 2) (.f64 y #s(literal -1/2 binary64))) #s(approx (/ (- x y) 2) (.f64 y #s(literal -1/2 binary64)))) (.f64 x (.f64 x x))) (fma.f64 #s(approx (/ (- x y) 2) (.f64 y #s(literal -1/2 binary64))) #s(approx (/ (- x y) 2) (.f64 y #s(literal -1/2 binary64))) (-.f64 (.f64 x x) (.f64 x #s(approx (/ (- x y) 2) (*.f64 y #s(literal -1/2 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(approx (/ (- x y) 2) (*.f64 y #s(literal -1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(approx (/ (- x y) 2) (.f64 y #s(literal -1/2 binary64))) #s(approx (/ (- x y) 2) (.f64 y #s(literal -1/2 binary64))) (-.f64 (.f64 x x) (.f64 x #s(approx (/ (- x y) 2) (.f64 y #s(literal -1/2 binary64)))))) (fma.f64 #s(approx (/ (- x y) 2) (.f64 y #s(literal -1/2 binary64))) (.f64 #s(approx (/ (- x y) 2) (.f64 y #s(literal -1/2 binary64))) #s(approx (/ (- x y) 2) (.f64 y #s(literal -1/2 binary64)))) (.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(approx (/ (- x y) 2) (*.f64 y #s(literal -1/2 binary64))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(approx (/ (- x y) 2) (.f64 y #s(literal -1/2 binary64))) x) (.f64 (+.f64 x #s(approx (/ (- x y) 2) (.f64 y #s(literal -1/2 binary64)))) (-.f64 #s(approx (/ (- x y) 2) (.f64 y #s(literal -1/2 binary64))) x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(approx (/ (- x y) 2) (*.f64 y #s(literal -1/2 binary64)))))))
(/.f64 (.f64 (+.f64 x #s(approx (/ (- x y) 2) (.f64 y #s(literal -1/2 binary64)))) (-.f64 x #s(approx (/ (- x y) 2) (.f64 y #s(literal -1/2 binary64))))) (-.f64 x #s(approx (/ (- x y) 2) (.f64 y #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(approx (/ (- x y) 2) (.f64 y #s(literal -1/2 binary64))) (.f64 #s(approx (/ (- x y) 2) (.f64 y #s(literal -1/2 binary64))) #s(approx (/ (- x y) 2) (.f64 y #s(literal -1/2 binary64)))) (.f64 x (.f64 x x)))) (neg.f64 (fma.f64 #s(approx (/ (- x y) 2) (.f64 y #s(literal -1/2 binary64))) (-.f64 #s(approx (/ (- x y) 2) (.f64 y #s(literal -1/2 binary64))) x) (*.f64 x x))))
(/.f64 (neg.f64 (fma.f64 #s(approx (/ (- x y) 2) (.f64 y #s(literal -1/2 binary64))) (.f64 #s(approx (/ (- x y) 2) (.f64 y #s(literal -1/2 binary64))) #s(approx (/ (- x y) 2) (.f64 y #s(literal -1/2 binary64)))) (.f64 x (.f64 x x)))) (neg.f64 (fma.f64 #s(approx (/ (- x y) 2) (.f64 y #s(literal -1/2 binary64))) #s(approx (/ (- x y) 2) (.f64 y #s(literal -1/2 binary64))) (-.f64 (.f64 x x) (.f64 x #s(approx (/ (- x y) 2) (*.f64 y #s(literal -1/2 binary64))))))))
(/.f64 (neg.f64 (.f64 (+.f64 x #s(approx (/ (- x y) 2) (.f64 y #s(literal -1/2 binary64)))) (-.f64 x #s(approx (/ (- x y) 2) (.f64 y #s(literal -1/2 binary64)))))) (neg.f64 (-.f64 x #s(approx (/ (- x y) 2) (.f64 y #s(literal -1/2 binary64))))))
(/.f64 (.f64 (+.f64 x #s(approx (/ (- x y) 2) (.f64 y #s(literal -1/2 binary64)))) (-.f64 #s(approx (/ (- x y) 2) (.f64 y #s(literal -1/2 binary64))) x)) (-.f64 #s(approx (/ (- x y) 2) (.f64 y #s(literal -1/2 binary64))) x))
(/.f64 (-.f64 (.f64 (.f64 x x) (-.f64 x #s(approx (/ (- x y) 2) (.f64 y #s(literal -1/2 binary64))))) (.f64 (-.f64 x #s(approx (/ (- x y) 2) (.f64 y #s(literal -1/2 binary64)))) (.f64 #s(approx (/ (- x y) 2) (.f64 y #s(literal -1/2 binary64))) #s(approx (/ (- x y) 2) (.f64 y #s(literal -1/2 binary64)))))) (.f64 (-.f64 x #s(approx (/ (- x y) 2) (.f64 y #s(literal -1/2 binary64)))) (-.f64 x #s(approx (/ (- x y) 2) (*.f64 y #s(literal -1/2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(approx (/ (- x y) 2) (.f64 y #s(literal -1/2 binary64))) (.f64 #s(approx (/ (- x y) 2) (.f64 y #s(literal -1/2 binary64))) #s(approx (/ (- x y) 2) (.f64 y #s(literal -1/2 binary64)))) (.f64 x (.f64 x x))))) (neg.f64 (neg.f64 (fma.f64 #s(approx (/ (- x y) 2) (.f64 y #s(literal -1/2 binary64))) (-.f64 #s(approx (/ (- x y) 2) (.f64 y #s(literal -1/2 binary64))) x) (*.f64 x x)))))
(/.f64 (neg.f64 (neg.f64 (.f64 (+.f64 x #s(approx (/ (- x y) 2) (.f64 y #s(literal -1/2 binary64)))) (-.f64 x #s(approx (/ (- x y) 2) (.f64 y #s(literal -1/2 binary64))))))) (neg.f64 (neg.f64 (-.f64 x #s(approx (/ (- x y) 2) (.f64 y #s(literal -1/2 binary64)))))))
(/.f64 (neg.f64 (.f64 (+.f64 x #s(approx (/ (- x y) 2) (.f64 y #s(literal -1/2 binary64)))) (-.f64 #s(approx (/ (- x y) 2) (.f64 y #s(literal -1/2 binary64))) x))) (neg.f64 (-.f64 #s(approx (/ (- x y) 2) (.f64 y #s(literal -1/2 binary64))) x)))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 x x) (-.f64 x #s(approx (/ (- x y) 2) (.f64 y #s(literal -1/2 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 #s(approx (/ (- x y) 2) (.f64 y #s(literal -1/2 binary64))) #s(approx (/ (- 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(literal 3 binary64))) (fma.f64 (/.f64 (.f64 x x) (-.f64 x #s(approx (/ (- x y) 2) (.f64 y #s(literal -1/2 binary64))))) (/.f64 (.f64 x x) (-.f64 x #s(approx (/ (- x y) 2) (.f64 y #s(literal -1/2 binary64))))) (fma.f64 (/.f64 (.f64 #s(approx (/ (- x y) 2) (.f64 y #s(literal -1/2 binary64))) #s(approx (/ (- x y) 2) (.f64 y #s(literal -1/2 binary64)))) (-.f64 x #s(approx (/ (- x y) 2) (.f64 y #s(literal -1/2 binary64))))) (/.f64 (.f64 #s(approx (/ (- x y) 2) (.f64 y #s(literal -1/2 binary64))) #s(approx (/ (- x y) 2) (.f64 y #s(literal -1/2 binary64)))) (-.f64 x #s(approx (/ (- x y) 2) (.f64 y #s(literal -1/2 binary64))))) (.f64 (/.f64 (.f64 x x) (-.f64 x #s(approx (/ (- x y) 2) (.f64 y #s(literal -1/2 binary64))))) (/.f64 (.f64 #s(approx (/ (- x y) 2) (.f64 y #s(literal -1/2 binary64))) #s(approx (/ (- x y) 2) (.f64 y #s(literal -1/2 binary64)))) (-.f64 x #s(approx (/ (- x y) 2) (*.f64 y #s(literal -1/2 binary64)))))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 x x) (-.f64 x #s(approx (/ (- x y) 2) (.f64 y #s(literal -1/2 binary64))))) (/.f64 (.f64 x x) (-.f64 x #s(approx (/ (- x y) 2) (.f64 y #s(literal -1/2 binary64)))))) (.f64 (/.f64 (.f64 #s(approx (/ (- x y) 2) (.f64 y #s(literal -1/2 binary64))) #s(approx (/ (- x y) 2) (.f64 y #s(literal -1/2 binary64)))) (-.f64 x #s(approx (/ (- x y) 2) (.f64 y #s(literal -1/2 binary64))))) (/.f64 (.f64 #s(approx (/ (- x y) 2) (.f64 y #s(literal -1/2 binary64))) #s(approx (/ (- x y) 2) (.f64 y #s(literal -1/2 binary64)))) (-.f64 x #s(approx (/ (- x y) 2) (.f64 y #s(literal -1/2 binary64))))))) (+.f64 (/.f64 (.f64 x x) (-.f64 x #s(approx (/ (- x y) 2) (.f64 y #s(literal -1/2 binary64))))) (/.f64 (.f64 #s(approx (/ (- x y) 2) (.f64 y #s(literal -1/2 binary64))) #s(approx (/ (- x y) 2) (.f64 y #s(literal -1/2 binary64)))) (-.f64 x #s(approx (/ (- x y) 2) (.f64 y #s(literal -1/2 binary64)))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(approx (/ (- x y) 2) (*.f64 y #s(literal -1/2 binary64))))) #s(literal -1 binary64))
(.f64 (fma.f64 #s(approx (/ (- x y) 2) (.f64 y #s(literal -1/2 binary64))) (.f64 #s(approx (/ (- x y) 2) (.f64 y #s(literal -1/2 binary64))) #s(approx (/ (- x y) 2) (.f64 y #s(literal -1/2 binary64)))) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (/ (- x y) 2) (.f64 y #s(literal -1/2 binary64))) (-.f64 #s(approx (/ (- x y) 2) (.f64 y #s(literal -1/2 binary64))) x) (.f64 x x))))
(.f64 (fma.f64 #s(approx (/ (- x y) 2) (.f64 y #s(literal -1/2 binary64))) (.f64 #s(approx (/ (- x y) 2) (.f64 y #s(literal -1/2 binary64))) #s(approx (/ (- x y) 2) (.f64 y #s(literal -1/2 binary64)))) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (/ (- x y) 2) (.f64 y #s(literal -1/2 binary64))) #s(approx (/ (- x y) 2) (.f64 y #s(literal -1/2 binary64))) (-.f64 (.f64 x x) (.f64 x #s(approx (/ (- x y) 2) (.f64 y #s(literal -1/2 binary64))))))))
(.f64 #s(literal 1 binary64) (+.f64 x #s(approx (/ (- x y) 2) (.f64 y #s(literal -1/2 binary64)))))
(.f64 (.f64 (+.f64 x #s(approx (/ (- x y) 2) (.f64 y #s(literal -1/2 binary64)))) (-.f64 x #s(approx (/ (- x y) 2) (.f64 y #s(literal -1/2 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(approx (/ (- x y) 2) (*.f64 y #s(literal -1/2 binary64))))))
(.f64 (neg.f64 (fma.f64 #s(approx (/ (- x y) 2) (.f64 y #s(literal -1/2 binary64))) (.f64 #s(approx (/ (- x y) 2) (.f64 y #s(literal -1/2 binary64))) #s(approx (/ (- x y) 2) (.f64 y #s(literal -1/2 binary64)))) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(approx (/ (- x y) 2) (.f64 y #s(literal -1/2 binary64))) (-.f64 #s(approx (/ (- x y) 2) (.f64 y #s(literal -1/2 binary64))) x) (.f64 x x)))))
(.f64 (neg.f64 (.f64 (+.f64 x #s(approx (/ (- x y) 2) (.f64 y #s(literal -1/2 binary64)))) (-.f64 x #s(approx (/ (- x y) 2) (.f64 y #s(literal -1/2 binary64)))))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x #s(approx (/ (- x y) 2) (*.f64 y #s(literal -1/2 binary64)))))))
(.f64 (.f64 (+.f64 x #s(approx (/ (- x y) 2) (.f64 y #s(literal -1/2 binary64)))) (-.f64 #s(approx (/ (- x y) 2) (.f64 y #s(literal -1/2 binary64))) x)) (/.f64 #s(literal 1 binary64) (-.f64 #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)))

eval30.0ms (0.6%)

Memory: -1.1MiB live, 72.5MiB allocated
Compiler: Compiled 3 806 to 294 computations (92.3% saved)

prune29.0ms (0.5%)

Memory

-18.9MiB live, 61.5MiB allocated

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	236	0	236
Fresh	0	0	0
Picked	0	3	3
Done	0	2	2
Total	236	5	241

Accuracy

100.0%

Counts

241 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)
✓	57.9%	(+.f64 x #s(approx (/ (- x y) 2) (*.f64 #s(literal -1/2 binary64) y)))
✓	100.0%	#s(approx (/ (- (* (- x y) (* 1/4 (- x y))) (* x x)) (+ (* (- x y) 1/2) (neg x))) (fma.f64 x #s(literal 3/2 binary64) (*.f64 #s(literal -1/2 binary64) y)))
✓	52.8%	#s(approx (/ (- (* (- x y) (* 1/4 (- x y))) (* x x)) (+ (* (- x y) 1/2) (neg x))) (*.f64 x #s(literal 3/2 binary64)))
✓	49.2%	#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal -1/2 binary64) y))

Compiler

Compiled 310 to 95 computations (69.4% saved)

regimes20.0ms (0.4%)

Memory

11.2MiB live, 49.1MiB allocated

Counts

18 → 1

Calls

Call 1

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

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

Calls

3 calls:

8.0ms	x
6.0ms	y
6.0ms	(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))

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 15 to 10 computations (33.3% saved)

regimes8.0ms (0.1%)

Memory

20.3MiB live, 20.3MiB allocated

Counts

5 → 1

Calls

Call 1

Inputs
#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 y) (* 1/4 (- x y))) (* x x)) (+ (* (- x y) 1/2) (neg x))) (*.f64 x #s(literal 3/2 binary64)))
(+.f64 x #s(approx (/ (- x y) 2) (*.f64 #s(literal -1/2 binary64) y)))
(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:

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

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`y`
99.8%	1	`(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes8.0ms (0.1%)

Memory

-20.4MiB live, 17.6MiB allocated

Counts

4 → 3

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
81.0%	3	`x`
75.1%	3	`y`
60.0%	2	`(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes2.0ms (0%)

Memory

4.4MiB live, 4.4MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
79.7%	3	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0.1%)

Memory

9.1MiB live, 9.1MiB 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 -1/2 binary64) y))

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
49.2%	1	`(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))`
49.2%	1	`y`
49.2%	1	`x`

Compiler

Compiled 15 to 10 computations (33.3% saved)

bsearch24.0ms (0.5%)

Memory

-25.7MiB live, 23.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	3.5115456009617625e-91	2.064345274059275e-89
8.0ms	-2250.7883038058494	-267.6444407324682

Samples

7.0ms	184×	0	valid
1.0ms	16×	1	valid
1.0ms	8×	2	valid

Compiler

Compiled 220 to 154 computations (30% saved)

Precisions

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

ival-div: 2.0ms (42.1% of total)

ival-add: 1.0ms (21% of total)

ival-sub: 1.0ms (21% 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)

bsearch13.0ms (0.2%)

Memory

16.8MiB live, 16.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	3.679466099138579e-117	4.7269654303723555e-112
1.0ms	-2250.7883038058494	-267.6444407324682

Samples

5.0ms	138×	0	valid
0.0ms	5×	1	valid
0.0ms	1×	2	valid

Compiler

Compiled 222 to 161 computations (27.5% saved)

Precisions

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

ival-div: 1.0ms (36% of total)

ival-add: 1.0ms (36% of total)

ival-sub: 1.0ms (36% 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)

simplify8.0ms (0.1%)

Memory

12.0MiB live, 12.0MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	128
1	43	128
2	48	128
3	50	128
4	51	128

Stop Event

1×

saturated

Calls

Call 1

Inputs
#s(approx (/ (- (* (- x y) (* 1/4 (- x y))) (* x x)) (+ (* (- x y) 1/2) (neg x))) (fma.f64 x #s(literal 3/2 binary64) (*.f64 #s(literal -1/2 binary64) y)))
(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)
(if (<=.f64 x #s(literal -1900 binary64)) #s(approx (+ x (/ (- x y) 2)) (.f64 x #s(literal 3/2 binary64))) (if (<=.f64 x #s(literal 5733746539975179/286687326998758938951352611912760867599570623646035140467198604923365359511060601008752319138765710819328 binary64)) (+.f64 x #s(approx (/ (- x y) 2) (.f64 #s(literal -1/2 binary64) y))) #s(approx (+ x (/ (- x y) 2)) (*.f64 x #s(literal 3/2 binary64)))))
(if (<=.f64 x #s(literal -1900 binary64)) #s(approx (+ x (/ (- x y) 2)) (.f64 x #s(literal 3/2 binary64))) (if (<=.f64 x #s(literal 4982140856623339/10830740992659433045228180406808920716548582325686783496759685861775864483615725089999900023844295226942934417817982702456930304 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 -1/2 binary64) y))

Outputs
#s(approx (/ (- (* (- x y) (* 1/4 (- x y))) (* x x)) (+ (* (- x y) 1/2) (neg x))) (fma.f64 x #s(literal 3/2 binary64) (*.f64 #s(literal -1/2 binary64) y)))
#s(approx (/ (- (* (- x y) (* 1/4 (- x y))) (* x x)) (+ (* (- x y) 1/2) (neg x))) (fma.f64 x #s(literal 3/2 binary64) (*.f64 y #s(literal -1/2 binary64))))
(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)
(if (<=.f64 x #s(literal -1900 binary64)) #s(approx (+ x (/ (- x y) 2)) (.f64 x #s(literal 3/2 binary64))) (if (<=.f64 x #s(literal 5733746539975179/286687326998758938951352611912760867599570623646035140467198604923365359511060601008752319138765710819328 binary64)) (+.f64 x #s(approx (/ (- x y) 2) (.f64 #s(literal -1/2 binary64) y))) #s(approx (+ x (/ (- x y) 2)) (*.f64 x #s(literal 3/2 binary64)))))
(if (<=.f64 x #s(literal -1900 binary64)) #s(approx (+ x (/ (- x y) 2)) (.f64 x #s(literal 3/2 binary64))) (if (<=.f64 x #s(literal 5733746539975179/286687326998758938951352611912760867599570623646035140467198604923365359511060601008752319138765710819328 binary64)) (+.f64 x #s(approx (/ (- x y) 2) (.f64 y #s(literal -1/2 binary64)))) #s(approx (+ x (/ (- x y) 2)) (*.f64 x #s(literal 3/2 binary64)))))
(if (<=.f64 x #s(literal -1900 binary64)) #s(approx (+ x (/ (- x y) 2)) (.f64 x #s(literal 3/2 binary64))) (if (<=.f64 x #s(literal 4982140856623339/10830740992659433045228180406808920716548582325686783496759685861775864483615725089999900023844295226942934417817982702456930304 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)))))
(if (<=.f64 x #s(literal -1900 binary64)) #s(approx (+ x (/ (- x y) 2)) (.f64 x #s(literal 3/2 binary64))) (if (<=.f64 x #s(literal 4982140856623339/10830740992659433045228180406808920716548582325686783496759685861775864483615725089999900023844295226942934417817982702456930304 binary64)) #s(approx (+ x (/ (- x y) 2)) (.f64 y #s(literal -1/2 binary64))) #s(approx (+ x (/ (- x y) 2)) (*.f64 x #s(literal 3/2 binary64)))))
#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal -1/2 binary64) y))
#s(approx (+ x (/ (- x y) 2)) (*.f64 y #s(literal -1/2 binary64)))

soundness687.0ms (12.8%)

Memory

-3.5MiB live, 420.0MiB allocated

Rules

8 108×	`lower-fma.f64`
8 108×	`lower-fma.f32`
7 504×	`lower-fma.f64`
7 504×	`lower-fma.f32`
4 958×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	531	3575
1	1769	3238
2	5708	3203
0	8411	2950
0	6	15
0	9	15
1	48	15
2	400	15
3	5080	15
0	8183	14
0	58	351
1	176	351
2	487	351
3	1348	315
4	2968	315
5	4585	315
6	6569	315
7	7592	315
0	8078	297

Stop Event

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

Compiler

Compiled 120 to 62 computations (48.3% saved)

preprocess65.0ms (1.2%)

Memory: -4.5MiB live, 156.0MiB allocated
Compiler: Compiled 158 to 66 computations (58.2% 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	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

start0.0ms (0%)

analyze0.0ms (0%)

sample740.0ms (13.8%)

explain105.0ms (2%)

preprocess51.0ms (1%)

eval0.0ms (0%)

prune10.0ms (0.2%)

simplify30.0ms (0.6%)

localize22.0ms (0.4%)

series4.0ms (0.1%)

simplify186.0ms (3.5%)

rewrite286.0ms (5.4%)

eval53.0ms (1%)

prune119.0ms (2.2%)

simplify247.0ms (4.6%)

localize153.0ms (2.9%)

series31.0ms (0.6%)

simplify261.0ms (4.9%)

rewrite341.0ms (6.4%)

eval245.0ms (4.6%)

prune308.0ms (5.8%)

simplify415.0ms (7.8%)

localize74.0ms (1.4%)

series7.0ms (0.1%)

simplify419.0ms (7.8%)

rewrite342.0ms (6.4%)

eval30.0ms (0.6%)

prune29.0ms (0.5%)

regimes20.0ms (0.4%)

regimes8.0ms (0.1%)

regimes8.0ms (0.1%)

regimes2.0ms (0%)

regimes4.0ms (0.1%)

bsearch24.0ms (0.5%)

bsearch13.0ms (0.2%)

simplify8.0ms (0.1%)

soundness687.0ms (12.8%)

preprocess65.0ms (1.2%)

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