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

0.5MiB live, 0.5MiB 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)

sample680.0ms (13.9%)

Memory

19.2MiB live, 1 017.7MiB allocated

Samples

382.0ms	7 634×	0	valid
34.0ms	282×	1	valid
23.0ms	210×	2	valid
21.0ms	130×	3	valid

Precisions

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

ival-div: 150.0ms (51.9% of total)

ival-sub: 67.0ms (23.2% of total)

ival-add: 43.0ms (14.9% of total)

adjust: 15.0ms (5.2% 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

explain115.0ms (2.4%)

Memory

14.0MiB live, 96.0MiB 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

21.0ms	476×	0	valid
2.0ms	14×	2	valid
1.0ms	8×	3	valid
1.0ms	14×	1	valid

Compiler

Compiled 49 to 22 computations (55.1% saved)

Precisions

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

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

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

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

adjust: 1.0ms (8.3% of total)

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

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

exact: 0.0ms (0% of total)

preprocess54.0ms (1.1%)

Memory

-17.7MiB live, 57.6MiB 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: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.1MiB live, 1.1MiB 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)

simplify44.0ms (0.9%)

Memory

-5.8MiB live, 33.9MiB 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 (0.5%)

Memory

8.0MiB live, 43.7MiB 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

14.0ms	238×	0	valid
1.0ms	7×	2	valid
1.0ms	4×	3	valid
1.0ms	7×	1	valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

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

ival-div: 2.0ms (33.5% of total)

ival-sub: 2.0ms (33.5% of total)

ival-add: 1.0ms (16.7% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory

10.0MiB live, 10.0MiB 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	x	@	0	(/ (- x y) 2)
0.0ms	x	@	0	(+ x (/ (- x y) 2))

simplify176.0ms (3.6%)

Memory

-9.6MiB live, 223.0MiB 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)

rewrite291.0ms (6%)

Memory

15.8MiB live, 297.6MiB 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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(-.f64 (/.f64 (.f64 x x) (+.f64 x y)) (/.f64 (.f64 y y) (+.f64 x y)))
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(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 (.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 (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 (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 (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))) (fma.f64 y (.f64 y y) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 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 (fma.f64 x x (.f64 y y)) (.f64 (-.f64 x y) (+.f64 x y))) (/.f64 #s(literal 1 binary64) (+.f64 x y))) (fma.f64 x x (*.f64 y y)))
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(/.f64 (.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))))

eval71.0ms (1.5%)

Memory: 8.3MiB live, 94.8MiB allocated
Compiler: Compiled 8 964 to 1 111 computations (87.6% saved)

prune119.0ms (2.4%)

Memory

-18.0MiB live, 173.8MiB allocated

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	405	17	422
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	406	17	423

Accuracy

100.0%

Counts

423 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	21.6%	(fma.f64 (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))) (/.f64 #s(literal 1/2 binary64) (fma.f64 x x (.f64 y (+.f64 x y)))) x)
	52.3%	(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)
	43.1%	(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)
	99.8%	(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)
	56.3%	(fma.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (/.f64 #s(literal 1/2 binary64) (+.f64 x y)) x)
▶	99.9%	(fma.f64 x #s(literal 1/2 binary64) (fma.f64 y #s(literal -1/2 binary64) x))
	55.7%	(/.f64 (fma.f64 (-.f64 y x) (.f64 #s(literal 1/4 binary64) (-.f64 x y)) (.f64 x x)) (fma.f64 (-.f64 x y) #s(literal -1/2 binary64) x))
	40.0%	(/.f64 (fma.f64 (.f64 (-.f64 x y) (.f64 (-.f64 x y) (-.f64 x y))) #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (fma.f64 (-.f64 x y) (.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 x y) #s(literal 1/2 binary64) (neg.f64 x))) (.f64 x x)))
	54.3%	(/.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)))
	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x)))
▶	99.9%	(-.f64 (fma.f64 x #s(literal 1/2 binary64) x) (*.f64 y #s(literal 1/2 binary64)))
	87.6%	(+.f64 x (/.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))))
▶	99.7%	(+.f64 x (/.f64 (.f64 (+.f64 x y) (.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (+.f64 x y)))) #s(literal 2 binary64)))
	59.0%	(+.f64 x #s(approx (/ (- x y) 2) (*.f64 #s(literal -1/2 binary64) y)))
	55.5%	(.f64 (fma.f64 (-.f64 y x) (.f64 #s(literal 1/4 binary64) (-.f64 x y)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 x y) #s(literal -1/2 binary64) x)))
	50.4%	#s(approx (+ x (/ (- x y) 2)) (*.f64 x #s(literal 3/2 binary64)))
▶	50.7%	#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal -1/2 binary64) y))

Compiler

Compiled 566 to 292 computations (48.4% saved)

simplify228.0ms (4.7%)

Memory

12.8MiB live, 295.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 x (.f64 x x))
cost-diff	0	(*.f64 y y)
cost-diff	0	(fma.f64 y (.f64 y y) (.f64 x (*.f64 x x)))
cost-diff	0	(fma.f64 (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))) (/.f64 #s(literal 1/2 binary64) (fma.f64 x x (.f64 y (+.f64 x y)))) x)
cost-diff	128	(+.f64 x (/.f64 (.f64 (+.f64 x y) (.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (+.f64 x y)))) #s(literal 2 binary64)))
cost-diff	320	(*.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (+.f64 x y)))
cost-diff	384	(/.f64 (.f64 (+.f64 x y) (.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (+.f64 x y)))) #s(literal 2 binary64))
cost-diff	1408	(.f64 (+.f64 x y) (.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (+.f64 x y))))
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 #s(literal 1/2 binary64))
cost-diff	64	(fma.f64 x #s(literal 1/2 binary64) x)
cost-diff	256	(-.f64 (fma.f64 x #s(literal 1/2 binary64) x) (*.f64 y #s(literal 1/2 binary64)))

Rules

7 880×	`lower-fma.f32`
7 868×	`lower-fma.f64`
4 534×	`lower-*.f32`
4 518×	`lower-*.f64`
2 366×	`lower-neg.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	190
0	56	184
1	104	172
2	195	148
3	481	148
4	1736	148
5	4606	148
0	8838	144

Stop Event

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

Calls

Call 1

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

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

localize121.0ms (2.5%)

Memory

9.8MiB live, 201.1MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0.7818120129882153	(/.f64 #s(literal 1/2 binary64) (fma.f64 x x (*.f64 y (+.f64 x y))))
accuracy	1.7538869832389217	(fma.f64 x x (*.f64 y (+.f64 x y)))
accuracy	3.3984216743621496	(fma.f64 y (.f64 y y) (.f64 x (*.f64 x x)))
accuracy	37.120379669372554	(fma.f64 (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))) (/.f64 #s(literal 1/2 binary64) (fma.f64 x x (.f64 y (+.f64 x y)))) x)
accuracy	0.015625	(/.f64 #s(literal 1 binary64) (+.f64 x y))
accuracy	0.01953125	(.f64 (+.f64 x y) (.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (+.f64 x y))))
accuracy	0.09765625	(+.f64 x (/.f64 (.f64 (+.f64 x y) (.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (+.f64 x y)))) #s(literal 2 binary64)))
accuracy	0.16796875	(*.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (+.f64 x y)))
accuracy	0	(fma.f64 y #s(literal -1/2 binary64) x)
accuracy	0.09375	(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	31.52398893152128	#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal -1/2 binary64) y))
accuracy	0	(fma.f64 x #s(literal 1/2 binary64) x)
accuracy	0	(*.f64 y #s(literal 1/2 binary64))
accuracy	0.078125	(-.f64 (fma.f64 x #s(literal 1/2 binary64) x) (*.f64 y #s(literal 1/2 binary64)))

Samples

57.0ms	217×	0	valid
11.0ms	9×	3	valid
9.0ms	15×	2	valid
6.0ms	15×	1	valid

Compiler

Compiled 199 to 35 computations (82.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 64.0ms

ival-add: 23.0ms (36% of total)

ival-mult: 21.0ms (32.8% of total)

ival-div: 8.0ms (12.5% of total)

adjust: 8.0ms (12.5% of total)

ival-sub: 3.0ms (4.7% of total)

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

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

exact: 0.0ms (0% of total)

series36.0ms (0.7%)

Memory

-0.9MiB live, 70.0MiB allocated

Counts

18 → 372

Calls

Call 1

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

Outputs
#s(alt (* -1/2 y) (taylor 0 x) (#s(alt (-.f64 (fma.f64 x #s(literal 1/2 binary64) x) (.f64 y #s(literal 1/2 binary64))) (patch (-.f64 (fma.f64 x #s(literal 1/2 binary64) x) (.f64 y #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* 3/2 x) (* 1/2 y)) (taylor 0 x) (#s(alt (-.f64 (fma.f64 x #s(literal 1/2 binary64) x) (.f64 y #s(literal 1/2 binary64))) (patch (-.f64 (fma.f64 x #s(literal 1/2 binary64) x) (.f64 y #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* 3/2 x) (* 1/2 y)) (taylor 0 x) (#s(alt (-.f64 (fma.f64 x #s(literal 1/2 binary64) x) (.f64 y #s(literal 1/2 binary64))) (patch (-.f64 (fma.f64 x #s(literal 1/2 binary64) x) (.f64 y #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* 3/2 x) (* 1/2 y)) (taylor 0 x) (#s(alt (-.f64 (fma.f64 x #s(literal 1/2 binary64) x) (.f64 y #s(literal 1/2 binary64))) (patch (-.f64 (fma.f64 x #s(literal 1/2 binary64) x) (.f64 y #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3/2 x) (taylor inf x) (#s(alt (-.f64 (fma.f64 x #s(literal 1/2 binary64) x) (.f64 y #s(literal 1/2 binary64))) (patch (-.f64 (fma.f64 x #s(literal 1/2 binary64) x) (.f64 y #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 3/2 (* -1/2 (/ y x)))) (taylor inf x) (#s(alt (-.f64 (fma.f64 x #s(literal 1/2 binary64) x) (.f64 y #s(literal 1/2 binary64))) (patch (-.f64 (fma.f64 x #s(literal 1/2 binary64) x) (.f64 y #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 3/2 (* -1/2 (/ y x)))) (taylor inf x) (#s(alt (-.f64 (fma.f64 x #s(literal 1/2 binary64) x) (.f64 y #s(literal 1/2 binary64))) (patch (-.f64 (fma.f64 x #s(literal 1/2 binary64) x) (.f64 y #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 3/2 (* -1/2 (/ y x)))) (taylor inf x) (#s(alt (-.f64 (fma.f64 x #s(literal 1/2 binary64) x) (.f64 y #s(literal 1/2 binary64))) (patch (-.f64 (fma.f64 x #s(literal 1/2 binary64) x) (.f64 y #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3/2 x) (taylor -inf x) (#s(alt (-.f64 (fma.f64 x #s(literal 1/2 binary64) x) (.f64 y #s(literal 1/2 binary64))) (patch (-.f64 (fma.f64 x #s(literal 1/2 binary64) x) (.f64 y #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2))) (taylor -inf x) (#s(alt (-.f64 (fma.f64 x #s(literal 1/2 binary64) x) (.f64 y #s(literal 1/2 binary64))) (patch (-.f64 (fma.f64 x #s(literal 1/2 binary64) x) (.f64 y #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2))) (taylor -inf x) (#s(alt (-.f64 (fma.f64 x #s(literal 1/2 binary64) x) (.f64 y #s(literal 1/2 binary64))) (patch (-.f64 (fma.f64 x #s(literal 1/2 binary64) x) (.f64 y #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2))) (taylor -inf x) (#s(alt (-.f64 (fma.f64 x #s(literal 1/2 binary64) x) (.f64 y #s(literal 1/2 binary64))) (patch (-.f64 (fma.f64 x #s(literal 1/2 binary64) x) (.f64 y #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/2 x)) (taylor 0 y) (#s(alt (-.f64 (fma.f64 x #s(literal 1/2 binary64) x) (.f64 y #s(literal 1/2 binary64))) (patch (-.f64 (fma.f64 x #s(literal 1/2 binary64) x) (.f64 y #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* -1/2 y) (* 1/2 x))) (taylor 0 y) (#s(alt (-.f64 (fma.f64 x #s(literal 1/2 binary64) x) (.f64 y #s(literal 1/2 binary64))) (patch (-.f64 (fma.f64 x #s(literal 1/2 binary64) x) (.f64 y #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* -1/2 y) (* 1/2 x))) (taylor 0 y) (#s(alt (-.f64 (fma.f64 x #s(literal 1/2 binary64) x) (.f64 y #s(literal 1/2 binary64))) (patch (-.f64 (fma.f64 x #s(literal 1/2 binary64) x) (.f64 y #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* -1/2 y) (* 1/2 x))) (taylor 0 y) (#s(alt (-.f64 (fma.f64 x #s(literal 1/2 binary64) x) (.f64 y #s(literal 1/2 binary64))) (patch (-.f64 (fma.f64 x #s(literal 1/2 binary64) x) (.f64 y #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 y) (taylor inf y) (#s(alt (-.f64 (fma.f64 x #s(literal 1/2 binary64) x) (.f64 y #s(literal 1/2 binary64))) (patch (-.f64 (fma.f64 x #s(literal 1/2 binary64) x) (.f64 y #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2)) (taylor inf y) (#s(alt (-.f64 (fma.f64 x #s(literal 1/2 binary64) x) (.f64 y #s(literal 1/2 binary64))) (patch (-.f64 (fma.f64 x #s(literal 1/2 binary64) x) (.f64 y #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2)) (taylor inf y) (#s(alt (-.f64 (fma.f64 x #s(literal 1/2 binary64) x) (.f64 y #s(literal 1/2 binary64))) (patch (-.f64 (fma.f64 x #s(literal 1/2 binary64) x) (.f64 y #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2)) (taylor inf y) (#s(alt (-.f64 (fma.f64 x #s(literal 1/2 binary64) x) (.f64 y #s(literal 1/2 binary64))) (patch (-.f64 (fma.f64 x #s(literal 1/2 binary64) x) (.f64 y #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 y) (taylor -inf y) (#s(alt (-.f64 (fma.f64 x #s(literal 1/2 binary64) x) (.f64 y #s(literal 1/2 binary64))) (patch (-.f64 (fma.f64 x #s(literal 1/2 binary64) x) (.f64 y #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y))))) (taylor -inf y) (#s(alt (-.f64 (fma.f64 x #s(literal 1/2 binary64) x) (.f64 y #s(literal 1/2 binary64))) (patch (-.f64 (fma.f64 x #s(literal 1/2 binary64) x) (.f64 y #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
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#s(alt (/ 1 x) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x y)) (patch (/.f64 #s(literal 1 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ y (pow x 2))) (/ 1 x)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x y)) (patch (/.f64 #s(literal 1 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* y (- (/ y (pow x 3)) (/ 1 (pow x 2)))) (/ 1 x)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x y)) (patch (/.f64 #s(literal 1 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* y (- (* y (+ (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x y)) (patch (/.f64 #s(literal 1 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ 1 y) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x y)) (patch (/.f64 #s(literal 1 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -1 (/ x y))) y) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x y)) (patch (/.f64 #s(literal 1 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (/ (pow x 2) (pow y 2))) (/ x y)) y) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x y)) (patch (/.f64 #s(literal 1 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (* -1 (/ (pow x 3) (pow y 3)))) (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y))) y) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x y)) (patch (/.f64 #s(literal 1 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ 1 y) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x y)) (patch (/.f64 #s(literal 1 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (/ x y) 1) y)) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x y)) (patch (/.f64 #s(literal 1 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (/ (pow x 2) y) x) y)) 1) y)) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x y)) (patch (/.f64 #s(literal 1 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y)) x) y)) 1) y)) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x y)) (patch (/.f64 #s(literal 1 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 x) (#s(alt (fma.f64 x x (.f64 y (+.f64 x y))) (patch (fma.f64 x x (.f64 y (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (pow y 2)) (taylor 0 x) (#s(alt (fma.f64 x x (.f64 y (+.f64 x y))) (patch (fma.f64 x x (.f64 y (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (+ x y)) (pow y 2)) (taylor 0 x) (#s(alt (fma.f64 x x (.f64 y (+.f64 x y))) (patch (fma.f64 x x (.f64 y (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (+ x y)) (pow y 2)) (taylor 0 x) (#s(alt (fma.f64 x x (.f64 y (+.f64 x y))) (patch (fma.f64 x x (.f64 y (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (fma.f64 x x (.f64 y (+.f64 x y))) (patch (fma.f64 x x (.f64 y (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ y x))) (taylor inf x) (#s(alt (fma.f64 x x (.f64 y (+.f64 x y))) (patch (fma.f64 x x (.f64 y (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (+ (/ y x) (/ (pow y 2) (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 x x (.f64 y (+.f64 x y))) (patch (fma.f64 x x (.f64 y (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (+ (/ y x) (/ (pow y 2) (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 x x (.f64 y (+.f64 x y))) (patch (fma.f64 x x (.f64 y (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (fma.f64 x x (.f64 y (+.f64 x y))) (patch (fma.f64 x x (.f64 y (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ y x))) (taylor -inf x) (#s(alt (fma.f64 x x (.f64 y (+.f64 x y))) (patch (fma.f64 x x (.f64 y (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 y) (* -1 (/ (pow y 2) x))) x)))) (taylor -inf x) (#s(alt (fma.f64 x x (.f64 y (+.f64 x y))) (patch (fma.f64 x x (.f64 y (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 y) (* -1 (/ (pow y 2) x))) x)))) (taylor -inf x) (#s(alt (fma.f64 x x (.f64 y (+.f64 x y))) (patch (fma.f64 x x (.f64 y (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 y) (#s(alt (fma.f64 x x (.f64 y (+.f64 x y))) (patch (fma.f64 x x (.f64 y (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (pow x 2)) (taylor 0 y) (#s(alt (fma.f64 x x (.f64 y (+.f64 x y))) (patch (fma.f64 x x (.f64 y (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (+ (* y (+ x y)) (pow x 2)) (taylor 0 y) (#s(alt (fma.f64 x x (.f64 y (+.f64 x y))) (patch (fma.f64 x x (.f64 y (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (+ (* y (+ x y)) (pow x 2)) (taylor 0 y) (#s(alt (fma.f64 x x (.f64 y (+.f64 x y))) (patch (fma.f64 x x (.f64 y (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor inf y) (#s(alt (fma.f64 x x (.f64 y (+.f64 x y))) (patch (fma.f64 x x (.f64 y (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1 (/ x y))) (taylor inf y) (#s(alt (fma.f64 x x (.f64 y (+.f64 x y))) (patch (fma.f64 x x (.f64 y (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1 (+ (/ x y) (/ (pow x 2) (pow y 2))))) (taylor inf y) (#s(alt (fma.f64 x x (.f64 y (+.f64 x y))) (patch (fma.f64 x x (.f64 y (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1 (+ (/ x y) (/ (pow x 2) (pow y 2))))) (taylor inf y) (#s(alt (fma.f64 x x (.f64 y (+.f64 x y))) (patch (fma.f64 x x (.f64 y (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor -inf y) (#s(alt (fma.f64 x x (.f64 y (+.f64 x y))) (patch (fma.f64 x x (.f64 y (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1 (/ x y))) (taylor -inf y) (#s(alt (fma.f64 x x (.f64 y (+.f64 x y))) (patch (fma.f64 x x (.f64 y (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1 (* -1 (/ (+ (* -1 x) (* -1 (/ (pow x 2) y))) y)))) (taylor -inf y) (#s(alt (fma.f64 x x (.f64 y (+.f64 x y))) (patch (fma.f64 x x (.f64 y (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1 (* -1 (/ (+ (* -1 x) (* -1 (/ (pow x 2) y))) y)))) (taylor -inf y) (#s(alt (fma.f64 x x (.f64 y (+.f64 x y))) (patch (fma.f64 x x (.f64 y (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 (pow y 2)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1/2 binary64) (fma.f64 x x (.f64 y (+.f64 x y)))) (patch (/.f64 #s(literal 1/2 binary64) (fma.f64 x x (.f64 y (+.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2)))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1/2 binary64) (fma.f64 x x (.f64 y (+.f64 x y)))) (patch (/.f64 #s(literal 1/2 binary64) (fma.f64 x x (.f64 y (+.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (- (* 1/2 (/ (pow x 2) (pow y 5))) (* 1/2 (/ 1 (pow y 3))))) (* 1/2 (/ 1 (pow y 2)))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1/2 binary64) (fma.f64 x x (.f64 y (+.f64 x y)))) (patch (/.f64 #s(literal 1/2 binary64) (fma.f64 x x (.f64 y (+.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (- (* (pow x 2) (+ (* -1/2 (/ x (pow y 6))) (* 1/2 (/ 1 (pow y 5))))) (* 1/2 (/ 1 (pow y 3))))) (* 1/2 (/ 1 (pow y 2)))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1/2 binary64) (fma.f64 x x (.f64 y (+.f64 x y)))) (patch (/.f64 #s(literal 1/2 binary64) (fma.f64 x x (.f64 y (+.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(literal 1/2 binary64) (fma.f64 x x (.f64 y (+.f64 x y)))) (patch (/.f64 #s(literal 1/2 binary64) (fma.f64 x x (.f64 y (+.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1/2 (* -1/2 (/ y x))) (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(literal 1/2 binary64) (fma.f64 x x (.f64 y (+.f64 x y)))) (patch (/.f64 #s(literal 1/2 binary64) (fma.f64 x x (.f64 y (+.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1/2 (* -1 (/ (+ (* -1/2 (pow y 2)) (* 1/2 (pow y 2))) (pow x 2)))) (* 1/2 (/ y x))) (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(literal 1/2 binary64) (fma.f64 x x (.f64 y (+.f64 x y)))) (patch (/.f64 #s(literal 1/2 binary64) (fma.f64 x x (.f64 y (+.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1/2 (* -1 (/ (+ (* -1 (* y (+ (* -1/2 (pow y 2)) (* 1/2 (pow y 2))))) (* -1/2 (pow y 3))) (pow x 3)))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (+ (* 1/2 (/ y x)) (* 1/2 (/ (pow y 2) (pow x 2)))))) (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(literal 1/2 binary64) (fma.f64 x x (.f64 y (+.f64 x y)))) (patch (/.f64 #s(literal 1/2 binary64) (fma.f64 x x (.f64 y (+.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/2 binary64) (fma.f64 x x (.f64 y (+.f64 x y)))) (patch (/.f64 #s(literal 1/2 binary64) (fma.f64 x x (.f64 y (+.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1/2 (* -1/2 (/ y x))) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/2 binary64) (fma.f64 x x (.f64 y (+.f64 x y)))) (patch (/.f64 #s(literal 1/2 binary64) (fma.f64 x x (.f64 y (+.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1/2 (* -1 (/ (- (+ (* -1/2 (/ (pow y 2) x)) (* 1/2 (/ (pow y 2) x))) (* -1/2 y)) x))) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/2 binary64) (fma.f64 x x (.f64 y (+.f64 x y)))) (patch (/.f64 #s(literal 1/2 binary64) (fma.f64 x x (.f64 y (+.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* 1/2 (/ (pow y 3) x)) (/ (* y (+ (* -1/2 (pow y 2)) (* 1/2 (pow y 2)))) x)) (+ (* -1/2 (pow y 2)) (* 1/2 (pow y 2)))) x)) (* -1/2 y)) x))) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/2 binary64) (fma.f64 x x (.f64 y (+.f64 x y)))) (patch (/.f64 #s(literal 1/2 binary64) (fma.f64 x x (.f64 y (+.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 (pow x 2)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1/2 binary64) (fma.f64 x x (.f64 y (+.f64 x y)))) (patch (/.f64 #s(literal 1/2 binary64) (fma.f64 x x (.f64 y (+.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ y (pow x 3))) (* 1/2 (/ 1 (pow x 2)))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1/2 binary64) (fma.f64 x x (.f64 y (+.f64 x y)))) (patch (/.f64 #s(literal 1/2 binary64) (fma.f64 x x (.f64 y (+.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (+ (* y (- (* 1/2 (/ (pow y 2) (pow x 5))) (* 1/2 (/ 1 (pow x 3))))) (* 1/2 (/ 1 (pow x 2)))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1/2 binary64) (fma.f64 x x (.f64 y (+.f64 x y)))) (patch (/.f64 #s(literal 1/2 binary64) (fma.f64 x x (.f64 y (+.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (+ (* y (- (* (pow y 2) (+ (* -1/2 (/ y (pow x 6))) (* 1/2 (/ 1 (pow x 5))))) (* 1/2 (/ 1 (pow x 3))))) (* 1/2 (/ 1 (pow x 2)))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1/2 binary64) (fma.f64 x x (.f64 y (+.f64 x y)))) (patch (/.f64 #s(literal 1/2 binary64) (fma.f64 x x (.f64 y (+.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 (pow y 2)) (taylor inf y) (#s(alt (/.f64 #s(literal 1/2 binary64) (fma.f64 x x (.f64 y (+.f64 x y)))) (patch (/.f64 #s(literal 1/2 binary64) (fma.f64 x x (.f64 y (+.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1/2 (* -1/2 (/ x y))) (pow y 2)) (taylor inf y) (#s(alt (/.f64 #s(literal 1/2 binary64) (fma.f64 x x (.f64 y (+.f64 x y)))) (patch (/.f64 #s(literal 1/2 binary64) (fma.f64 x x (.f64 y (+.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1/2 (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/2 (pow x 2))) (pow y 2)))) (* 1/2 (/ x y))) (pow y 2)) (taylor inf y) (#s(alt (/.f64 #s(literal 1/2 binary64) (fma.f64 x x (.f64 y (+.f64 x y)))) (patch (/.f64 #s(literal 1/2 binary64) (fma.f64 x x (.f64 y (+.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1/2 (* -1 (/ (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3))) (pow y 3)))) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* 1/2 (/ x y)) (* 1/2 (/ (pow x 2) (pow y 2)))))) (pow y 2)) (taylor inf y) (#s(alt (/.f64 #s(literal 1/2 binary64) (fma.f64 x x (.f64 y (+.f64 x y)))) (patch (/.f64 #s(literal 1/2 binary64) (fma.f64 x x (.f64 y (+.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 (pow y 2)) (taylor -inf y) (#s(alt (/.f64 #s(literal 1/2 binary64) (fma.f64 x x (.f64 y (+.f64 x y)))) (patch (/.f64 #s(literal 1/2 binary64) (fma.f64 x x (.f64 y (+.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1/2 (* -1/2 (/ x y))) (pow y 2)) (taylor -inf y) (#s(alt (/.f64 #s(literal 1/2 binary64) (fma.f64 x x (.f64 y (+.f64 x y)))) (patch (/.f64 #s(literal 1/2 binary64) (fma.f64 x x (.f64 y (+.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1/2 (* -1 (/ (- (+ (* -1/2 (/ (pow x 2) y)) (* 1/2 (/ (pow x 2) y))) (* -1/2 x)) y))) (pow y 2)) (taylor -inf y) (#s(alt (/.f64 #s(literal 1/2 binary64) (fma.f64 x x (.f64 y (+.f64 x y)))) (patch (/.f64 #s(literal 1/2 binary64) (fma.f64 x x (.f64 y (+.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* 1/2 (/ (pow x 3) y)) (/ (* x (+ (* -1/2 (pow x 2)) (* 1/2 (pow x 2)))) y)) (+ (* -1/2 (pow x 2)) (* 1/2 (pow x 2)))) y)) (* -1/2 x)) y))) (pow y 2)) (taylor -inf y) (#s(alt (/.f64 #s(literal 1/2 binary64) (fma.f64 x x (.f64 y (+.f64 x y)))) (patch (/.f64 #s(literal 1/2 binary64) (fma.f64 x x (.f64 y (+.f64 x y)))) #<representation binary64>) () ())) ())

Calls

93 calls:

Time	Variable		Point	Expression
4.0ms	y	@	0	(+ (* x 1/2) (+ (* y -1/2) x))
1.0ms	y	@	inf	(+ (* (+ (* y (* y y)) (* x (* x x))) (/ 1/2 (+ (* x x) (* y (+ x y))))) x)
1.0ms	y	@	inf	(/ 1/2 (+ (* x x) (* y (+ x y))))
1.0ms	y	@	inf	(* y 1/2)
1.0ms	y	@	-inf	(+ (* (+ (* y (* y y)) (* x (* x x))) (/ 1/2 (+ (* x x) (* y (+ x y))))) x)

simplify388.0ms (7.9%)

Memory

-27.4MiB live, 279.4MiB allocated

Algorithm

1×	egg-herbie

Rules

9 816×	`lower-fma.f64`
9 816×	`lower-fma.f32`
4 088×	`lower-*.f64`
4 088×	`lower-*.f32`
2 606×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	554	3175
1	1750	3007
2	5437	2895
0	8348	2699

Stop Event

1×	iter limit
1×	node limit

Counts

372 → 366

Calls

Call 1

Inputs
(* -1/2 y)
(- (* 3/2 x) (* 1/2 y))
(- (* 3/2 x) (* 1/2 y))
(- (* 3/2 x) (* 1/2 y))
(* 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)))))
(* 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)
(* 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 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))
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(+ x (+ (* -1/2 y) (* 1/2 x)))
(+ x (+ (* -1/2 y) (* 1/2 x)))
(* -1/2 y)
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(* 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))
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(* -1 (* y (+ 1/2 (* -1 (/ x y)))))
(* -1 (* y (+ 1/2 (* -1 (/ x y)))))
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(* -1/2 y)
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x
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x
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x
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(* -1/2 y)
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(* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))
(* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))
-1
(- (* 2 (/ x y)) 1)
(- (* x (+ (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1)
(- (* x (+ (* x (- (* 2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1)
1
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(- (+ 1 (+ (* -1 (/ y x)) (* -1 (/ (* y (- (* -1 y) y)) (pow x 2))))) (/ y x))
(- (+ 1 (+ (* -1 (/ y x)) (/ (* (pow y 2) (- (* -1 y) y)) (pow x 3)))) (+ (/ y x) (/ (* y (- (* -1 y) y)) (pow x 2))))
1
(- (+ 1 (* -1 (/ y x))) (/ y x))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (/ (* y (- (* -1 y) y)) x)) x)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (* -1 (/ (+ (* -1 (* y (- (* -1 y) y))) (/ (* (pow y 2) (- (* -1 y) y)) x)) x))) x)))
1
(+ 1 (* -2 (/ y x)))
(+ 1 (* y (- (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))
(+ 1 (* y (- (* y (+ (* -2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))
-1
(- (/ x y) (+ 1 (* -1 (/ x y))))
(- (+ (* -1 (/ (* x (- x (* -1 x))) (pow y 2))) (/ x y)) (+ 1 (* -1 (/ x y))))
(- (+ (/ x y) (/ (* (pow x 2) (- x (* -1 x))) (pow y 3))) (+ 1 (+ (* -1 (/ x y)) (/ (* x (- x (* -1 x))) (pow y 2)))))
-1
(- (* -1 (/ (- (* -1 x) x) y)) 1)
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (* x (- (* -1 x) x)) y))) x) y)) 1)
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (* -1 (/ (* (pow x 2) (- (* -1 x) x)) y)) (* -1 (* x (- (* -1 x) x)))) y))) x) y)) 1)
(* -1/2 y)
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(+ (* -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)
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(* 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 (* 1/2 x))
(+ x (+ (* -1/2 y) (* 1/2 x)))
(+ x (+ (* 1/2 x) (* y (- (/ (pow y 2) (pow x 2)) 1/2))))
(+ x (+ (* 1/2 x) (* y (- (* (pow y 2) (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) 1/2))))
(* 1/2 y)
(* y (+ 1/2 (+ (* -1/2 (/ x y)) (/ x y))))
(* y (+ 1/2 (+ (* -1/2 (/ x y)) (+ (* -1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) (pow y 2))) (/ x y)))))
(* y (+ 1/2 (+ (* -1/2 (/ x y)) (+ (* -1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) (pow y 2))) (+ (* 1/2 (/ (- (pow x 3) (+ (* -1 (* x (+ (* -1 (pow x 2)) (pow x 2)))) (* -1 (pow x 3)))) (pow y 3))) (/ x y))))))
(* 1/2 y)
(* -1 (* y (- (* -1 (/ (+ x (* -1/2 x)) y)) 1/2)))
(* -1 (* y (- (* -1 (/ (+ x (+ (* -1/2 x) (* 1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y)))) y)) 1/2)))
(* -1 (* y (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (pow x 2)) (pow x 2))) (* -1/2 (/ (- (pow x 3) (+ (* -1 (pow x 3)) (* x (+ (* -1 (pow x 2)) (pow x 2))))) y))) y)) (* -1/2 x))) y)) 1/2)))
(* 1/2 y)
(+ (* 1/2 x) (* 1/2 y))
(+ (* 1/2 y) (* x (+ 1/2 (/ (pow x 2) (pow y 2)))))
(+ (* 1/2 y) (* x (+ 1/2 (* (pow x 2) (+ (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))))))
(* 3/2 x)
(* x (+ 3/2 (* -1/2 (/ y x))))
(* x (+ 3/2 (+ (* -1/2 (/ y x)) (* -1/2 (/ (+ (* -1 (pow y 2)) (pow y 2)) (pow x 2))))))
(* x (+ 3/2 (+ (* -1/2 (/ y x)) (+ (* -1/2 (/ (+ (* -1 (pow y 2)) (pow y 2)) (pow x 2))) (* 1/2 (/ (- (pow y 3) (+ (* -1 (* y (+ (* -1 (pow y 2)) (pow y 2)))) (* -1 (pow y 3)))) (pow x 3)))))))
(* 3/2 x)
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(* -1 (* x (- (* -1 (/ (+ (* -1/2 y) (* 1/2 (/ (+ (* -1 (pow y 2)) (pow y 2)) x))) x)) 3/2)))
(* -1 (* x (- (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (pow y 2)) (pow y 2))) (* -1/2 (/ (- (pow y 3) (+ (* -1 (pow y 3)) (* y (+ (* -1 (pow y 2)) (pow y 2))))) x))) x)) (* -1/2 y)) x)) 3/2)))
(pow x 3)
(+ (pow x 3) (pow y 3))
(+ (pow x 3) (pow y 3))
(+ (pow x 3) (pow y 3))
(pow y 3)
(* (pow y 3) (+ 1 (/ (pow x 3) (pow y 3))))
(* (pow y 3) (+ 1 (/ (pow x 3) (pow y 3))))
(* (pow y 3) (+ 1 (/ (pow x 3) (pow y 3))))
(pow y 3)
(* -1 (* (pow y 3) (- (* -1 (/ (pow x 3) (pow y 3))) 1)))
(* -1 (* (pow y 3) (- (* -1 (/ (pow x 3) (pow y 3))) 1)))
(* -1 (* (pow y 3) (- (* -1 (/ (pow x 3) (pow y 3))) 1)))
(pow y 3)
(+ (pow x 3) (pow y 3))
(+ (pow x 3) (pow y 3))
(+ (pow x 3) (pow y 3))
(pow x 3)
(* (pow x 3) (+ 1 (/ (pow y 3) (pow x 3))))
(* (pow x 3) (+ 1 (/ (pow y 3) (pow x 3))))
(* (pow x 3) (+ 1 (/ (pow y 3) (pow x 3))))
(pow x 3)
(* -1 (* (pow x 3) (- (* -1 (/ (pow y 3) (pow x 3))) 1)))
(* -1 (* (pow x 3) (- (* -1 (/ (pow y 3) (pow x 3))) 1)))
(* -1 (* (pow x 3) (- (* -1 (/ (pow y 3) (pow x 3))) 1)))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(/ 1 y)
(+ (* -1 (/ x (pow y 2))) (/ 1 y))
(+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y))
(+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))
(/ 1 x)
(/ (+ 1 (* -1 (/ y x))) x)
(/ (- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x)) x)
(/ (- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))) x)
(/ 1 x)
(* -1 (/ (- (/ y x) 1) x))
(* -1 (/ (- (* -1 (/ (- (/ (pow y 2) x) y) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) x) (pow y 2)) x)) y) x)) 1) x))
(/ 1 x)
(+ (* -1 (/ y (pow x 2))) (/ 1 x))
(+ (* y (- (/ y (pow x 3)) (/ 1 (pow x 2)))) (/ 1 x))
(+ (* y (- (* y (+ (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x))
(/ 1 y)
(/ (+ 1 (* -1 (/ x y))) y)
(/ (- (+ 1 (/ (pow x 2) (pow y 2))) (/ x y)) y)
(/ (- (+ 1 (* -1 (/ (pow x 3) (pow y 3)))) (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y))) y)
(/ 1 y)
(* -1 (/ (- (/ x y) 1) y))
(* -1 (/ (- (* -1 (/ (- (/ (pow x 2) y) x) y)) 1) y))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y)) x) y)) 1) y))
(pow y 2)
(+ (* x y) (pow y 2))
(+ (* x (+ x y)) (pow y 2))
(+ (* x (+ x y)) (pow y 2))
(pow x 2)
(* (pow x 2) (+ 1 (/ y x)))
(* (pow x 2) (+ 1 (+ (/ y x) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (/ y x) (/ (pow y 2) (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (/ y x)))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 y) (* -1 (/ (pow y 2) x))) x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 y) (* -1 (/ (pow y 2) x))) x))))
(pow x 2)
(+ (* x y) (pow x 2))
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(+ (* y (+ x y)) (pow x 2))
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(* (pow y 2) (+ 1 (+ (/ x y) (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (+ 1 (+ (/ x y) (/ (pow x 2) (pow y 2)))))
(pow y 2)
(* (pow y 2) (+ 1 (/ x y)))
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -1 x) (* -1 (/ (pow x 2) y))) y))))
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -1 x) (* -1 (/ (pow x 2) y))) y))))
(/ 1/2 (pow y 2))
(+ (* -1/2 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))
(+ (* x (- (* 1/2 (/ (pow x 2) (pow y 5))) (* 1/2 (/ 1 (pow y 3))))) (* 1/2 (/ 1 (pow y 2))))
(+ (* x (- (* (pow x 2) (+ (* -1/2 (/ x (pow y 6))) (* 1/2 (/ 1 (pow y 5))))) (* 1/2 (/ 1 (pow y 3))))) (* 1/2 (/ 1 (pow y 2))))
(/ 1/2 (pow x 2))
(/ (+ 1/2 (* -1/2 (/ y x))) (pow x 2))
(/ (- (+ 1/2 (* -1 (/ (+ (* -1/2 (pow y 2)) (* 1/2 (pow y 2))) (pow x 2)))) (* 1/2 (/ y x))) (pow x 2))
(/ (- (+ 1/2 (* -1 (/ (+ (* -1 (* y (+ (* -1/2 (pow y 2)) (* 1/2 (pow y 2))))) (* -1/2 (pow y 3))) (pow x 3)))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (+ (* 1/2 (/ y x)) (* 1/2 (/ (pow y 2) (pow x 2)))))) (pow x 2))
(/ 1/2 (pow x 2))
(/ (+ 1/2 (* -1/2 (/ y x))) (pow x 2))
(/ (+ 1/2 (* -1 (/ (- (+ (* -1/2 (/ (pow y 2) x)) (* 1/2 (/ (pow y 2) x))) (* -1/2 y)) x))) (pow x 2))
(/ (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* 1/2 (/ (pow y 3) x)) (/ (* y (+ (* -1/2 (pow y 2)) (* 1/2 (pow y 2)))) x)) (+ (* -1/2 (pow y 2)) (* 1/2 (pow y 2)))) x)) (* -1/2 y)) x))) (pow x 2))
(/ 1/2 (pow x 2))
(+ (* -1/2 (/ y (pow x 3))) (* 1/2 (/ 1 (pow x 2))))
(+ (* y (- (* 1/2 (/ (pow y 2) (pow x 5))) (* 1/2 (/ 1 (pow x 3))))) (* 1/2 (/ 1 (pow x 2))))
(+ (* y (- (* (pow y 2) (+ (* -1/2 (/ y (pow x 6))) (* 1/2 (/ 1 (pow x 5))))) (* 1/2 (/ 1 (pow x 3))))) (* 1/2 (/ 1 (pow x 2))))
(/ 1/2 (pow y 2))
(/ (+ 1/2 (* -1/2 (/ x y))) (pow y 2))
(/ (- (+ 1/2 (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/2 (pow x 2))) (pow y 2)))) (* 1/2 (/ x y))) (pow y 2))
(/ (- (+ 1/2 (* -1 (/ (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3))) (pow y 3)))) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* 1/2 (/ x y)) (* 1/2 (/ (pow x 2) (pow y 2)))))) (pow y 2))
(/ 1/2 (pow y 2))
(/ (+ 1/2 (* -1/2 (/ x y))) (pow y 2))
(/ (+ 1/2 (* -1 (/ (- (+ (* -1/2 (/ (pow x 2) y)) (* 1/2 (/ (pow x 2) y))) (* -1/2 x)) y))) (pow y 2))
(/ (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* 1/2 (/ (pow x 3) y)) (/ (* x (+ (* -1/2 (pow x 2)) (* 1/2 (pow x 2)))) y)) (+ (* -1/2 (pow x 2)) (* 1/2 (pow x 2)))) y)) (* -1/2 x)) y))) (pow y 2))

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

rewrite446.0ms (9.1%)

Memory

30.5MiB live, 532.2MiB allocated

Rules

4 718×	`lower-/.f32`
4 712×	`lower-/.f64`
4 374×	`lower-*.f32`
4 358×	`lower-*.f64`
3 180×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	157
0	56	135
1	242	115
2	2300	115
0	8248	111

Stop Event

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

Counts

18 → 1 196

Calls

Call 1

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

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

eval316.0ms (6.5%)

Memory: -24.9MiB live, 498.0MiB allocated
Compiler: Compiled 43 917 to 3 241 computations (92.6% saved)

prune151.0ms (3.1%)

Memory

20.3MiB live, 389.2MiB allocated

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	1 560	2	1 562
Fresh	10	2	12
Picked	4	1	5
Done	0	0	0
Total	1 574	5	1 579

Accuracy

100.0%

Counts

1 579 → 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)
▶	100.0%	(fma.f64 #s(literal 3/2 binary64) x (*.f64 y #s(literal -1/2 binary64)))
▶	59.0%	(+.f64 x #s(approx (/ (- x y) 2) (*.f64 #s(literal -1/2 binary64) y)))
▶	50.4%	#s(approx (- (+ (* x 1/2) x) (* y 1/2)) (*.f64 #s(literal 3/2 binary64) x))
✓	50.7%	#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal -1/2 binary64) y))

Compiler

Compiled 36 to 24 computations (33.3% saved)

simplify31.0ms (0.6%)

Memory

-11.8MiB live, 27.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

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

Rules

624×	`lower-fma.f32`
620×	`lower-fma.f64`
240×	`lower-*.f32`
234×	`lower-*.f64`
152×	`sub-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	69
0	29	75
1	51	66
2	82	66
3	138	66
4	239	66
5	408	66
6	645	66
7	736	66
8	756	66
9	777	66
10	784	66
11	786	66
0	786	66

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize58.0ms (1.2%)

Memory

-12.7MiB live, 103.8MiB allocated

Localize:

Found 9 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 y x)
accuracy	0.09765625	(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)
accuracy	0	(fma.f64 #s(literal 3/2 binary64) x (*.f64 y #s(literal -1/2 binary64)))
accuracy	0	(*.f64 y #s(literal -1/2 binary64))
accuracy	0	(*.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	31.471751246067456	#s(approx (/ (- x y) 2) (*.f64 #s(literal -1/2 binary64) y))
accuracy	0	(*.f64 #s(literal 3/2 binary64) x)
accuracy	31.761733741946735	#s(approx (- (+ (* x 1/2) x) (* y 1/2)) (*.f64 #s(literal 3/2 binary64) x))

Samples

33.0ms	238×	0	valid
2.0ms	7×	2	valid
2.0ms	4×	3	valid
2.0ms	7×	1	valid

Compiler

Compiled 61 to 22 computations (63.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-mult: 9.0ms (40.7% of total)

ival-add: 5.0ms (22.6% of total)

ival-sub: 4.0ms (18.1% of total)

ival-div: 2.0ms (9.1% of total)

adjust: 1.0ms (4.5% of total)

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

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

exact: 0.0ms (0% of total)

series9.0ms (0.2%)

Memory

20.5MiB live, 20.5MiB allocated

Counts

9 → 180

Calls

Call 1

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

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

Calls

45 calls:

Time	Variable		Point	Expression
2.0ms	y	@	0	(+ (* (- y x) -1/2) x)
0.0ms	x	@	inf	(* 3/2 x)
0.0ms	x	@	-inf	(* 3/2 x)
0.0ms	x	@	0	(* 3/2 x)
0.0ms	y	@	inf	(+ (* (- y x) -1/2) x)

simplify212.0ms (4.3%)

Memory

19.4MiB live, 172.6MiB allocated

Algorithm

1×	egg-herbie

Rules

8 624×	`lower-fma.f64`
8 624×	`lower-fma.f32`
2 764×	`lower-*.f64`
2 764×	`lower-*.f32`
1 304×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	891
1	206	891
2	544	855
3	1552	855
4	3547	855
5	4870	855
6	6627	855
7	7766	855
0	8030	783

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 177

Calls

Call 1

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

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

rewrite340.0ms (7%)

Memory

-7.5MiB live, 377.2MiB allocated

Rules

7 242×	`lower-fma.f32`
7 238×	`lower-fma.f64`
4 086×	`lower-*.f32`
4 080×	`lower-*.f64`
3 534×	`lower-/.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	57
0	29	63
1	135	54
2	1160	54
0	8530	54

Stop Event

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

Counts

9 → 497

Calls

Call 1

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

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

eval106.0ms (2.2%)

Memory: 2.9MiB live, 204.3MiB allocated
Compiler: Compiled 14 183 to 957 computations (93.3% saved)

prune102.0ms (2.1%)

Memory

-35.4MiB live, 155.6MiB allocated

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	674	0	674
Fresh	0	0	0
Picked	0	4	4
Done	0	1	1
Total	674	5	679

Accuracy

100.0%

Counts

679 → 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)
✓	100.0%	(fma.f64 #s(literal 3/2 binary64) x (*.f64 y #s(literal -1/2 binary64)))
✓	59.0%	(+.f64 x #s(approx (/ (- x y) 2) (*.f64 #s(literal -1/2 binary64) y)))
✓	50.4%	#s(approx (- (+ (* x 1/2) x) (* y 1/2)) (*.f64 #s(literal 3/2 binary64) x))
✓	50.7%	#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal -1/2 binary64) y))

Compiler

Compiled 304 to 98 computations (67.8% saved)

regimes21.0ms (0.4%)

Memory

-4.2MiB live, 33.7MiB allocated

Counts

20 → 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 1/2) x) (* y 1/2)) (*.f64 #s(literal 3/2 binary64) x))
(+.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)
(fma.f64 #s(literal 3/2 binary64) x (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 x #s(literal 1/2 binary64) (fma.f64 y #s(literal -1/2 binary64) x))
(-.f64 (fma.f64 x #s(literal 1/2 binary64) x) (*.f64 y #s(literal 1/2 binary64)))
(+.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 (fma.f64 (-.f64 y x) (.f64 #s(literal 1/4 binary64) (-.f64 x y)) (.f64 x x)) (fma.f64 (-.f64 x y) #s(literal -1/2 binary64) x))
(+.f64 x (/.f64 (.f64 (+.f64 x y) (.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (+.f64 x y)))) #s(literal 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 (fma.f64 (-.f64 y x) (.f64 #s(literal 1/4 binary64) (-.f64 x y)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 x y) #s(literal -1/2 binary64) x)))
(+.f64 x (/.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))))
(fma.f64 (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))) (/.f64 #s(literal 1/2 binary64) (fma.f64 x x (.f64 y (+.f64 x y)))) 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 (fma.f64 (.f64 (-.f64 x y) (.f64 (-.f64 x y) (-.f64 x y))) #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (fma.f64 (-.f64 x y) (.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 x y) #s(literal 1/2 binary64) (neg.f64 x))) (.f64 x x)))
(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)

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

Calls

3 calls:

7.0ms	x
6.0ms	(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))
6.0ms	y

Results

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes8.0ms (0.2%)

Memory

18.8MiB live, 18.8MiB 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 1/2) x) (* y 1/2)) (*.f64 #s(literal 3/2 binary64) x))
(+.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:

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

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)

regimes9.0ms (0.2%)

Memory

-19.1MiB live, 18.2MiB 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 1/2) x) (* y 1/2)) (*.f64 #s(literal 3/2 binary64) x))
(+.f64 x #s(approx (/ (- x y) 2) (*.f64 #s(literal -1/2 binary64) y)))

Outputs

(+.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)))

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

Calls

3 calls:

4.0ms	x
2.0ms	(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))
2.0ms	y

Results

Accuracy	Segments	Branch
75.6%	3	`x`
81.5%	3	`y`
64.3%	4	`(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes2.0ms (0%)

Memory

6.8MiB live, 6.8MiB 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 1/2) x) (* y 1/2)) (*.f64 #s(literal 3/2 binary64) x))

Outputs
#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))

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
79.7%	3	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0.1%)

Memory

14.0MiB live, 14.0MiB 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	y
1.0ms	x

Results

Accuracy	Segments	Branch
50.7%	1	`(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))`
50.7%	1	`x`
50.7%	1	`y`

Compiler

Compiled 15 to 10 computations (33.3% saved)

bsearch23.0ms (0.5%)

Memory

9.9MiB live, 48.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	2.5991278855920754e-101	1.4693881010516946e-95
9.0ms	-4.7152850876982927e+27	-1.03835566990648e+27

Samples

8.0ms	218×	0	valid
3.0ms	12×	2	valid
1.0ms	7×	1	valid
0.0ms	3×	3	valid

Compiler

Compiled 252 to 176 computations (30.2% saved)

Precisions

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

ival-div: 2.0ms (34.3% of total)

ival-sub: 2.0ms (34.3% of total)

adjust: 1.0ms (17.2% of total)

ival-add: 1.0ms (17.2% of total)

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

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

exact: 0.0ms (0% of total)

bsearch18.0ms (0.4%)

Memory

-11.6MiB live, 29.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	1.3406097093279925e-23	5.001423589443785e-21
2.0ms	-4.7152850876982927e+27	-1.03835566990648e+27

Samples

5.0ms	127×	0	valid
1.0ms	10×	2	valid
1.0ms	7×	1	valid

Compiler

Compiled 208 to 151 computations (27.4% saved)

Precisions

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

ival-div: 1.0ms (28.4% of total)

ival-add: 1.0ms (28.4% of total)

ival-sub: 1.0ms (28.4% 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)

simplify10.0ms (0.2%)

Memory

-19.4MiB live, 17.4MiB 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	30	105
1	35	105
2	40	105
3	42	105
4	43	105

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 #s(literal 3/2 binary64) x (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)
(if (<=.f64 y #s(literal -1049999999999999972720246784 binary64)) (+.f64 x #s(approx (/ (- x y) 2) (.f64 #s(literal -1/2 binary64) y))) (if (<=.f64 y #s(literal 14091255496643/1174271291386916613944740298394668513687841274454159935353645485766104512557304221731849499192384351515967488 binary64)) #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)))))
(if (<=.f64 y #s(literal -1119999999999999998389387264 binary64)) #s(approx (+ x (/ (- x y) 2)) (.f64 #s(literal -1/2 binary64) y)) (if (<=.f64 y #s(literal 5316911983139663/2658455991569831745807614120560689152 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 #s(literal -1/2 binary64) y))

Outputs
(fma.f64 #s(literal 3/2 binary64) x (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)
(if (<=.f64 y #s(literal -1049999999999999972720246784 binary64)) (+.f64 x #s(approx (/ (- x y) 2) (.f64 #s(literal -1/2 binary64) y))) (if (<=.f64 y #s(literal 14091255496643/1174271291386916613944740298394668513687841274454159935353645485766104512557304221731849499192384351515967488 binary64)) #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)))))
(if (<=.f64 y #s(literal -1049999999999999972720246784 binary64)) (+.f64 x #s(approx (/ (- x y) 2) (.f64 y #s(literal -1/2 binary64)))) (if (<=.f64 y #s(literal 14091255496643/1174271291386916613944740298394668513687841274454159935353645485766104512557304221731849499192384351515967488 binary64)) #s(approx (+ x (/ (- x y) 2)) (.f64 #s(literal 3/2 binary64) x)) (+.f64 x #s(approx (/ (- x y) 2) (*.f64 y #s(literal -1/2 binary64))))))
(if (<=.f64 y #s(literal -1119999999999999998389387264 binary64)) #s(approx (+ x (/ (- x y) 2)) (.f64 #s(literal -1/2 binary64) y)) (if (<=.f64 y #s(literal 5316911983139663/2658455991569831745807614120560689152 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))))
(if (<=.f64 y #s(literal -1119999999999999998389387264 binary64)) #s(approx (+ x (/ (- x y) 2)) (.f64 y #s(literal -1/2 binary64))) (if (<=.f64 y #s(literal 5316911983139663/2658455991569831745807614120560689152 binary64)) #s(approx (+ x (/ (- x y) 2)) (.f64 #s(literal 3/2 binary64) x)) #s(approx (+ x (/ (- x y) 2)) (*.f64 y #s(literal -1/2 binary64)))))
#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal -1/2 binary64) y))
#s(approx (+ x (/ (- x y) 2)) (*.f64 y #s(literal -1/2 binary64)))

soundness632.0ms (12.9%)

Memory

12.5MiB live, 489.5MiB allocated

Rules

7 504×	`lower-fma.f64`
7 504×	`lower-fma.f32`
4 718×	`lower-/.f32`
4 712×	`lower-/.f64`
4 374×	`lower-*.f32`

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
0	31	157
0	56	135
1	242	115
2	2300	115
0	8248	111
0	6	15
0	9	15
1	48	15
2	400	15
3	5080	15
0	8183	14

Stop Event

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

Compiler

Compiled 137 to 72 computations (47.4% saved)

preprocess40.0ms (0.8%)

Memory: 25.7MiB live, 104.3MiB allocated
Compiler: Compiled 160 to 70 computations (56.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

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

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

Iter	Nodes	Cost
0	21	69
0	29	75
1	51	66
2	82	66
3	138	66
4	239	66
5	408	66
6	645	66
7	736	66
8	756	66
9	777	66
10	784	66
11	786	66
0	786	66

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	21	69
0	29	75
1	51	66
2	82	66
3	138	66
4	239	66
5	408	66
6	645	66
7	736	66
8	756	66
9	777	66
10	784	66
11	786	66
0	786	66

start0.0ms (0%)

analyze0.0ms (0%)

sample680.0ms (13.9%)

explain115.0ms (2.4%)

preprocess54.0ms (1.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify44.0ms (0.9%)

localize22.0ms (0.5%)

series4.0ms (0.1%)

simplify176.0ms (3.6%)

rewrite291.0ms (6%)

eval71.0ms (1.5%)

prune119.0ms (2.4%)

simplify228.0ms (4.7%)

localize121.0ms (2.5%)

series36.0ms (0.7%)

simplify388.0ms (7.9%)

rewrite446.0ms (9.1%)

eval316.0ms (6.5%)

prune151.0ms (3.1%)

simplify31.0ms (0.6%)

localize58.0ms (1.2%)

series9.0ms (0.2%)

simplify212.0ms (4.3%)

rewrite340.0ms (7%)

eval106.0ms (2.2%)

prune102.0ms (2.1%)

regimes21.0ms (0.4%)

regimes8.0ms (0.2%)

regimes9.0ms (0.2%)

regimes2.0ms (0%)

regimes4.0ms (0.1%)

bsearch23.0ms (0.5%)

bsearch18.0ms (0.4%)

simplify10.0ms (0.2%)

soundness632.0ms (12.9%)

preprocess40.0ms (0.8%)

end0.0ms (0%)

Profiling

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

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

Iter	Nodes	Cost
0	21	69
0	29	75
1	51	66
2	82	66
3	138	66
4	239	66
5	408	66
6	645	66
7	736	66
8	756	66
9	777	66
10	784	66
11	786	66
0	786	66