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

0.8MiB live, 0.8MiB 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)

sample882.0ms (17.6%)

Memory

-16.2MiB live, 998.7MiB allocated

Samples

543.0ms	7 644×	0	valid
26.0ms	206×	2	valid
22.0ms	270×	1	valid
20.0ms	136×	3	valid

Precisions

Click to see histograms. Total time spent on operations: 254.0ms

ival-sub: 94.0ms (37% of total)

ival-div: 82.0ms (32.3% of total)

ival-add: 42.0ms (16.5% of total)

adjust: 20.0ms (7.9% of total)

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

exact: 5.0ms (2% of total)

ival-assert: 4.0ms (1.6% of total)

Bogosity

explain69.0ms (1.4%)

Memory

15.2MiB live, 90.3MiB 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	484×	0	valid
2.0ms	12×	2	valid
1.0ms	14×	1	valid
0.0ms	2×	3	valid

Compiler

Compiled 49 to 22 computations (55.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-div: 4.0ms (36.1% of total)

ival-sub: 3.0ms (27.1% of total)

ival-add: 2.0ms (18.1% of total)

adjust: 1.0ms (9% of total)

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

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

exact: 0.0ms (0% of total)

preprocess94.0ms (1.9%)

Memory

-30.7MiB live, 50.3MiB allocated

Algorithm

1×	egg-herbie

Rules

280×	`lower-fma.f64`
280×	`lower-fma.f32`
104×	`lower-*.f64`
104×	`lower-*.f32`
82×	`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 #s(literal 1/2 binary64) (-.f64 x y) 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
▶	99.9%	(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify21.0ms (0.4%)

Memory

27.1MiB live, 27.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

280×	`lower-fma.f64`
280×	`lower-fma.f32`
104×	`lower-*.f64`
104×	`lower-*.f32`
64×	`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 #s(literal 1/2 binary64) (-.f64 x y) x)
x
(/.f64 (-.f64 x y) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (-.f64 x y))
(-.f64 x y)
y
#s(literal 2 binary64)

localize44.0ms (0.9%)

Memory

1.3MiB live, 37.1MiB 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	0.05859375	(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))

Samples

36.0ms	242×	0	valid
1.0ms	6×	2	valid
1.0ms	7×	1	valid
0.0ms	1×	3	valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-sub: 25.0ms (86.1% of total)

ival-div: 2.0ms (6.9% of total)

ival-add: 1.0ms (3.4% 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)

series7.0ms (0.1%)

Memory

-25.4MiB live, 9.0MiB 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	x	@	0	(/ (- x y) 2)
0.0ms	y	@	inf	(/ (- x y) 2)
0.0ms	x	@	0	(+ x (/ (- x y) 2))

simplify168.0ms (3.4%)

Memory

8.4MiB live, 140.0MiB allocated

Algorithm

1×	egg-herbie

Rules

3 752×	`lower-fma.f64`
3 752×	`lower-fma.f32`
1 397×	`lower-*.f64`
1 397×	`lower-*.f32`
598×	`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 y #s(literal -1/2 binary64))
(+ (* -1/2 y) (* 1/2 x))
(*.f64 (-.f64 x y) #s(literal 1/2 binary64))
(+ (* -1/2 y) (* 1/2 x))
(*.f64 (-.f64 x y) #s(literal 1/2 binary64))
(+ (* -1/2 y) (* 1/2 x))
(*.f64 (-.f64 x y) #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* x (+ 1/2 (* -1/2 (/ y x))))
(*.f64 (-.f64 x y) #s(literal 1/2 binary64))
(* x (+ 1/2 (* -1/2 (/ y x))))
(*.f64 (-.f64 x y) #s(literal 1/2 binary64))
(* x (+ 1/2 (* -1/2 (/ y x))))
(*.f64 (-.f64 x y) #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* -1 (* x (- (* 1/2 (/ y x)) 1/2)))
(*.f64 (-.f64 x y) #s(literal 1/2 binary64))
(* -1 (* x (- (* 1/2 (/ y x)) 1/2)))
(*.f64 (-.f64 x y) #s(literal 1/2 binary64))
(* -1 (* x (- (* 1/2 (/ y x)) 1/2)))
(*.f64 (-.f64 x y) #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(+ (* -1/2 y) (* 1/2 x))
(*.f64 (-.f64 x y) #s(literal 1/2 binary64))
(+ (* -1/2 y) (* 1/2 x))
(*.f64 (-.f64 x y) #s(literal 1/2 binary64))
(+ (* -1/2 y) (* 1/2 x))
(*.f64 (-.f64 x y) #s(literal 1/2 binary64))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(* y (- (* 1/2 (/ x y)) 1/2))
(*.f64 (-.f64 x y) #s(literal 1/2 binary64))
(* y (- (* 1/2 (/ x y)) 1/2))
(*.f64 (-.f64 x y) #s(literal 1/2 binary64))
(* y (- (* 1/2 (/ x y)) 1/2))
(*.f64 (-.f64 x y) #s(literal 1/2 binary64))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))
(*.f64 (-.f64 x y) #s(literal 1/2 binary64))
(* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))
(*.f64 (-.f64 x y) #s(literal 1/2 binary64))
(* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))
(*.f64 (-.f64 x y) #s(literal 1/2 binary64))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(+ (* -1/2 y) (* 3/2 x))
(fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x)
(+ (* -1/2 y) (* 3/2 x))
(fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x)
(+ (* -1/2 y) (* 3/2 x))
(fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x)
(* 3/2 x)
(*.f64 #s(literal 3/2 binary64) x)
(* x (+ 3/2 (* -1/2 (/ y x))))
(fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x)
(* x (+ 3/2 (* -1/2 (/ y x))))
(fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x)
(* x (+ 3/2 (* -1/2 (/ y x))))
(fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x)
(* 3/2 x)
(*.f64 #s(literal 3/2 binary64) x)
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x)
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x)
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x)
(+ x (* 1/2 x))
(*.f64 #s(literal 3/2 binary64) x)
(+ x (+ (* -1/2 y) (* 1/2 x)))
(fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x)
(+ x (+ (* -1/2 y) (* 1/2 x)))
(fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x)
(+ x (+ (* -1/2 y) (* 1/2 x)))
(fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x)
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x)
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x)
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x)
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x)
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x)
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x)
(* -1 y)
(neg.f64 y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
x
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
x
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
x
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(* -1 y)
(neg.f64 y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* -1 y)
(neg.f64 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)

rewrite236.0ms (4.7%)

Memory

-5.5MiB live, 261.9MiB allocated

Rules

2 025×	`lower-fma.f64`
2 025×	`lower-fma.f32`
1 935×	`lower-*.f64`
1 935×	`lower-*.f32`
1 320×	`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 (.f64 (+.f64 y x) (.f64 #s(literal -1/2 binary64) (-.f64 y x))) (fma.f64 (.f64 y y) y (.f64 (.f64 x x) x))) (fma.f64 y (-.f64 y x) (*.f64 x x)))
(.f64 (/.f64 (.f64 (+.f64 y x) (.f64 #s(literal -1/2 binary64) (-.f64 y x))) (.f64 (+.f64 y x) (-.f64 x y))) (-.f64 x y))
(.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 y y) y (.f64 (.f64 x x) x))) (.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) (-.f64 (.f64 x x) (.f64 (+.f64 y x) y)))) (-.f64 (.f64 x x) (*.f64 (+.f64 y x) y)))
(.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 y y) y (.f64 (.f64 x x) x))) (fma.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) x)) x (.f64 (.f64 (.f64 (.f64 (+.f64 y x) y) y) (+.f64 y x)) (.f64 (+.f64 y x) y)))) (fma.f64 (.f64 (+.f64 y x) y) (-.f64 (.f64 (+.f64 y x) y) (.f64 x x)) (.f64 (.f64 x x) (.f64 x x))))
(.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (-.f64 y x)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 y x)) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (+.f64 y x) #s(literal 2 binary64)) (/.f64 (-.f64 x y) (+.f64 y x)))
(.f64 (/.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) #s(literal 2 binary64)) (/.f64 (-.f64 x y) (fma.f64 (+.f64 y x) y (*.f64 x x))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (.f64 (+.f64 y x) (-.f64 y x)))) (/.f64 #s(literal 1 binary64) (+.f64 y x)))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 (.f64 y y) y (.f64 (.f64 x x) x)))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) y (*.f64 x x))))
(.f64 (.f64 (+.f64 y x) (*.f64 #s(literal -1/2 binary64) (-.f64 y x))) (/.f64 #s(literal 1 binary64) (+.f64 y x)))
(.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 y y) y (.f64 (.f64 x x) x))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) y (.f64 x x))))
(.f64 (.f64 (.f64 #s(literal 1/2 binary64) (+.f64 y x)) (.f64 #s(literal -1/2 binary64) (-.f64 y x))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 y x))))
(*.f64 #s(literal -1/2 binary64) (-.f64 y x))
(.f64 (-.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/8 binary64)) (.f64 (.f64 (.f64 y y) y) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/2 binary64) (+.f64 y x))))))
(.f64 (fma.f64 #s(literal 2 binary64) x (.f64 #s(literal -2 binary64) y)) #s(literal 1/4 binary64))
(.f64 #s(literal -1 binary64) (.f64 #s(literal -1/2 binary64) (-.f64 x y)))
(.f64 (+.f64 y x) (/.f64 (-.f64 x y) (.f64 (+.f64 y x) #s(literal 2 binary64))))
(.f64 (.f64 (+.f64 y x) (-.f64 x y)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) #s(literal 2 binary64)))
(.f64 (.f64 (+.f64 y x) (-.f64 x y)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) #s(literal 1/2 binary64)))
(.f64 (.f64 (+.f64 y x) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 y x) #s(literal 2 binary64))))
(.f64 (.f64 (+.f64 y x) (-.f64 x y)) (/.f64 #s(literal 1/2 binary64) (+.f64 y x)))
(*.f64 #s(literal 1/2 binary64) (-.f64 x y))
(.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (-.f64 y x)))
(.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) (/.f64 (-.f64 x y) (.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) #s(literal 2 binary64))))
(.f64 (fma.f64 (.f64 y y) y (.f64 (.f64 x x) x)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 2 binary64)))
(.f64 (fma.f64 (.f64 y y) y (.f64 (.f64 x x) x)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) y (.f64 x x))) #s(literal 1/2 binary64)))
(.f64 (fma.f64 (.f64 y y) y (.f64 (.f64 x x) x)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) #s(literal 2 binary64))))
(.f64 (fma.f64 (.f64 y y) y (.f64 (.f64 x x) x)) (/.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 y x) y (*.f64 x x))))
(*.f64 (-.f64 y x) #s(literal -1/2 binary64))
(.f64 (.f64 #s(literal -1/2 binary64) (-.f64 y x)) #s(literal 1 binary64))
(*.f64 (-.f64 x y) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 (neg.f64 (log.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 y x))))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 y x)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 (+.f64 y x) (.f64 (+.f64 y x) (.f64 #s(literal -1/2 binary64) (-.f64 y x)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) (.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 y y) y (.f64 (*.f64 x x) x)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 y x)) (.f64 (.f64 #s(literal 1/2 binary64) (+.f64 y x)) (.f64 #s(literal -1/2 binary64) (-.f64 y x)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 #s(literal 1/2 binary64) (+.f64 y x)))) (-.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/8 binary64)) (.f64 (.f64 (.f64 y y) y) #s(literal 1/8 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal -2 binary64) y))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal -4 binary64) (-.f64 x y)) (-.f64 y x)) #s(literal -1/2 binary64))
(pow.f64 (/.f64 #s(literal -2 binary64) (-.f64 y x)) #s(literal -1 binary64))
(pow.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 y x)) #s(literal 1 binary64))
(/.f64 (.f64 (.f64 (+.f64 y x) (*.f64 #s(literal -1/2 binary64) (-.f64 y x))) #s(literal 1 binary64)) (+.f64 y x))
(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 y y) y (.f64 (.f64 x x) x))) #s(literal 1 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x)))
(/.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (+.f64 y x)) (.f64 #s(literal -1/2 binary64) (-.f64 y x))) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 y x)))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/8 binary64)) (.f64 (.f64 (.f64 y y) y) #s(literal 1/8 binary64))) #s(literal 1 binary64)) (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/2 binary64) (+.f64 y x)))))
(/.f64 (.f64 (fma.f64 #s(literal 2 binary64) x (.f64 #s(literal -2 binary64) y)) #s(literal 1 binary64)) #s(literal 4 binary64))
(/.f64 (.f64 (.f64 (+.f64 y x) (-.f64 y x)) #s(literal -1/2 binary64)) (+.f64 y x))
(/.f64 (.f64 (.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) (-.f64 y x)) #s(literal -1/2 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x)))
(/.f64 (.f64 (.f64 (+.f64 y x) (-.f64 x y)) #s(literal -1/2 binary64)) (neg.f64 (+.f64 y x)))
(/.f64 (.f64 (fma.f64 (.f64 y y) y (.f64 (.f64 x x) x)) #s(literal -1/2 binary64)) (neg.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))))
(/.f64 (.f64 (.f64 (+.f64 y x) (-.f64 y x)) #s(literal 1/2 binary64)) (neg.f64 (+.f64 y x)))
(/.f64 (.f64 (.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) (-.f64 y x)) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 (+.f64 y x) y (.f64 x x))))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 y x) (-.f64 y x))) (neg.f64 (+.f64 y x)))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) (-.f64 y x))) (neg.f64 (fma.f64 (+.f64 y x) y (.f64 x x))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (+.f64 y x) (*.f64 #s(literal -1/2 binary64) (-.f64 y x)))) (+.f64 y x))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 y y) y (.f64 (.f64 x x) x)))) (fma.f64 (+.f64 y x) y (.f64 x x)))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (+.f64 y x)) (.f64 #s(literal -1/2 binary64) (-.f64 y x)))) (*.f64 #s(literal 1/2 binary64) (+.f64 y x)))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/8 binary64)) (.f64 (.f64 (.f64 y y) y) #s(literal 1/8 binary64)))) (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/2 binary64) (+.f64 y x)))))
(/.f64 (.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x (.f64 #s(literal -2 binary64) y))) #s(literal 4 binary64))
(/.f64 (.f64 (.f64 (+.f64 y x) (-.f64 x y)) #s(literal 1 binary64)) (*.f64 (+.f64 y x) #s(literal 2 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 y y) y (.f64 (.f64 x x) x)) #s(literal 1 binary64)) (.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) #s(literal 2 binary64)))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (+.f64 y x) (-.f64 x y))) (*.f64 (+.f64 y x) #s(literal 2 binary64)))
(/.f64 (.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) y (.f64 (.f64 x x) x))) (.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) #s(literal 2 binary64)))
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(-.f64 #s(literal 0 binary64) (-.f64 y x))
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(+.f64 (neg.f64 y) x)
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eval47.0ms (0.9%)

Memory: 32.9MiB live, 144.5MiB allocated
Compiler: Compiled 8 964 to 1 114 computations (87.6% saved)

prune96.0ms (1.9%)

Memory

-31.3MiB live, 180.9MiB allocated

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	413	9	422
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	414	9	423

Accuracy

100.0%

Counts

423 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	46.4%	(fma.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) (/.f64 (-.f64 x y) (.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal 2 binary64))) x)
	99.9%	(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)
▶	50.0%	(fma.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (/.f64 #s(literal 1/2 binary64) (+.f64 y x)) x)
▶	99.9%	(-.f64 (fma.f64 #s(literal 1/2 binary64) x x) (*.f64 #s(literal 1/2 binary64) y))
	49.3%	(+.f64 x (pow.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 y x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
	99.8%	(+.f64 x (/.f64 (.f64 (+.f64 y x) (.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (+.f64 y x)))) #s(literal 2 binary64)))
▶	58.3%	(+.f64 x #s(approx (/ (- x y) 2) (*.f64 y #s(literal -1/2 binary64))))
	49.6%	#s(approx (+ x (/ (- x y) 2)) (*.f64 y #s(literal -1/2 binary64)))
▶	50.9%	#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x))

Compiler

Compiled 224 to 126 computations (43.8% saved)

simplify340.0ms (6.8%)

Memory

28.9MiB live, 438.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x x)
cost-diff	0	(+.f64 y x)
cost-diff	0	(fma.f64 (+.f64 y x) y (*.f64 x x))
cost-diff	2816	(fma.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) (/.f64 (-.f64 x y) (.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal 2 binary64))) x)
cost-diff	0	(-.f64 x y)
cost-diff	0	(+.f64 y x)
cost-diff	0	(*.f64 (+.f64 y x) (-.f64 x y))
cost-diff	1408	(fma.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (/.f64 #s(literal 1/2 binary64) (+.f64 y x)) x)
cost-diff	0	(*.f64 y #s(literal -1/2 binary64))
cost-diff	0	#s(approx (/ (- x y) 2) (*.f64 y #s(literal -1/2 binary64)))
cost-diff	0	(+.f64 x #s(approx (/ (- x y) 2) (*.f64 y #s(literal -1/2 binary64))))
cost-diff	0	(*.f64 #s(literal 3/2 binary64) x)
cost-diff	0	#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x))
cost-diff	0	(*.f64 #s(literal 1/2 binary64) y)
cost-diff	64	(fma.f64 #s(literal 1/2 binary64) x x)
cost-diff	256	(-.f64 (fma.f64 #s(literal 1/2 binary64) x x) (*.f64 #s(literal 1/2 binary64) y))

Rules

15 351×	`lower-fma.f32`
15 347×	`lower-fma.f64`
2 502×	`lower-*.f32`
2 496×	`lower-*.f64`
1 350×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	163
0	47	137
1	89	137
2	196	137
3	563	137
4	1968	137
5	7087	137
0	8382	133

Stop Event

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

Calls

Call 1

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

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

localize112.0ms (2.2%)

Memory

-0.8MiB live, 160.2MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x x)
accuracy	0.00390625	(fma.f64 (+.f64 y x) y (*.f64 x x))
accuracy	31.997096722149617	(fma.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) (/.f64 (-.f64 x y) (.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal 2 binary64))) x)
accuracy	32.49864245230372	(/.f64 (-.f64 x y) (.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) #s(literal 2 binary64)))
accuracy	0	(+.f64 y x)
accuracy	0	(*.f64 (+.f64 y x) (-.f64 x y))
accuracy	0.02734375	(/.f64 #s(literal 1/2 binary64) (+.f64 y x))
accuracy	32.00100297214962	(fma.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (/.f64 #s(literal 1/2 binary64) (+.f64 y x)) x)
accuracy	0	(*.f64 y #s(literal -1/2 binary64))
accuracy	0.05859375	(+.f64 x #s(approx (/ (- x y) 2) (*.f64 y #s(literal -1/2 binary64))))
accuracy	32.14024373017383	#s(approx (/ (- x y) 2) (*.f64 y #s(literal -1/2 binary64)))
accuracy	0	(*.f64 #s(literal 3/2 binary64) x)
accuracy	31.400198489753055	#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x))
accuracy	0	(fma.f64 #s(literal 1/2 binary64) x x)
accuracy	0	(*.f64 #s(literal 1/2 binary64) y)
accuracy	0.0546875	(-.f64 (fma.f64 #s(literal 1/2 binary64) x x) (*.f64 #s(literal 1/2 binary64) y))

Samples

62.0ms	213×	0	valid
8.0ms	17×	2	valid
6.0ms	9×	3	valid
6.0ms	17×	1	valid

Compiler

Compiled 162 to 29 computations (82.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 63.0ms

ival-div: 28.0ms (44.6% of total)

ival-mult: 17.0ms (27.1% of total)

ival-add: 10.0ms (15.9% of total)

adjust: 4.0ms (6.4% of total)

ival-sub: 3.0ms (4.8% of total)

exact: 1.0ms (1.6% of total)

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

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

series79.0ms (1.6%)

Memory

-40.4MiB live, 84.4MiB allocated

Counts

17 → 348

Calls

Call 1

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

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

Calls

87 calls:

Time	Variable		Point	Expression
1.0ms	y	@	-inf	(+ (* (+ y x) y) (* x x))
1.0ms	y	@	inf	(* 1/2 y)
1.0ms	x	@	0	(/ (- x y) (* (+ (* (+ y x) y) (* x x)) 2))
0.0ms	y	@	inf	(/ (- x y) (* (+ (* (+ y x) y) (* x x)) 2))
0.0ms	x	@	inf	(/ (- x y) (* (+ (* (+ y x) y) (* x x)) 2))

simplify227.0ms (4.5%)

Memory

8.3MiB live, 281.1MiB allocated

Algorithm

1×	egg-herbie

Rules

6 484×	`lower-fma.f64`
6 484×	`lower-fma.f32`
2 395×	`lower-*.f64`
2 395×	`lower-*.f32`
2 178×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	392	2789
1	1226	2626
2	3377	2447
0	8534	2265

Stop Event

1×	iter limit
1×	node limit

Counts

348 → 339

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

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

rewrite377.0ms (7.5%)

Memory

-2.6MiB live, 388.0MiB allocated

Rules

3 033×	`lower-fma.f32`
3 029×	`lower-fma.f64`
2 599×	`lower-/.f32`
2 597×	`lower-/.f64`
2 504×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	133
0	47	107
1	204	107
2	1988	107
0	9153	103

Stop Event

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

Counts

17 → 982

Calls

Call 1

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

Outputs
(.f64 (-.f64 (.f64 #s(literal 9/4 binary64) (.f64 x x)) (.f64 #s(literal 1/4 binary64) (.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/2 binary64) x (.f64 y #s(literal 1/2 binary64)))))
(.f64 (-.f64 (.f64 x x) (.f64 (.f64 (-.f64 x y) (-.f64 x y)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (-.f64 x y) #s(literal 1/2 binary64)))))
(.f64 (fma.f64 (.f64 (-.f64 x y) (-.f64 x y)) #s(literal 1/4 binary64) (*.f64 (neg.f64 x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 x y) #s(literal 1/2 binary64) (neg.f64 x))))
(.f64 (fma.f64 #s(literal 27/8 binary64) (.f64 (.f64 x x) x) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 y y) y))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y #s(literal 1/2 binary64)) (fma.f64 #s(literal 3/2 binary64) x (.f64 y #s(literal 1/2 binary64))) (.f64 #s(literal 9/4 binary64) (.f64 x x)))))
(.f64 (fma.f64 (.f64 (.f64 (-.f64 x y) (-.f64 x y)) (-.f64 x y)) #s(literal 1/8 binary64) (.f64 (.f64 x x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (-.f64 x y) #s(literal 1/2 binary64)) (fma.f64 (-.f64 x y) #s(literal 1/2 binary64) (neg.f64 x)) (*.f64 x x))))
(.f64 (fma.f64 (.f64 (.f64 (-.f64 x y) (-.f64 x y)) (-.f64 x y)) #s(literal 1/8 binary64) (.f64 (.f64 x x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (-.f64 x y) (-.f64 x y)) #s(literal 1/4 binary64) (.f64 x (-.f64 x (.f64 (-.f64 x y) #s(literal 1/2 binary64)))))))
(pow.f64 (/.f64 (-.f64 x (.f64 (-.f64 x y) #s(literal 1/2 binary64))) (-.f64 (.f64 x x) (.f64 (.f64 (-.f64 x y) (-.f64 x y)) #s(literal 1/4 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (.f64 (-.f64 x y) #s(literal 1/2 binary64)) (fma.f64 (-.f64 x y) #s(literal 1/2 binary64) (neg.f64 x)) (.f64 x x)) (fma.f64 (.f64 (.f64 (-.f64 x y) (-.f64 x y)) (-.f64 x y)) #s(literal 1/8 binary64) (.f64 (.f64 x x) x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (-.f64 x y) #s(literal 1/2 binary64) (neg.f64 x)) (fma.f64 (.f64 (-.f64 x y) (-.f64 x y)) #s(literal 1/4 binary64) (.f64 (neg.f64 x) x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (.f64 (-.f64 x y) (-.f64 x y)) #s(literal 1/4 binary64) (.f64 x (-.f64 x (.f64 (-.f64 x y) #s(literal 1/2 binary64))))) (fma.f64 (.f64 (.f64 (-.f64 x y) (-.f64 x y)) (-.f64 x y)) #s(literal 1/8 binary64) (.f64 (*.f64 x x) x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal 3/2 binary64) x (.f64 y #s(literal 1/2 binary64))) (-.f64 (.f64 #s(literal 9/4 binary64) (.f64 x x)) (.f64 #s(literal 1/4 binary64) (*.f64 y y)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (.f64 y #s(literal 1/2 binary64)) (fma.f64 #s(literal 3/2 binary64) x (.f64 y #s(literal 1/2 binary64))) (.f64 #s(literal 9/4 binary64) (.f64 x x))) (fma.f64 #s(literal 27/8 binary64) (.f64 (.f64 x x) x) (.f64 #s(literal -1/8 binary64) (.f64 (*.f64 y y) y)))) #s(literal -1 binary64))
(/.f64 (fma.f64 (.f64 (-.f64 x (.f64 y #s(literal 1/2 binary64))) (-.f64 x (.f64 y #s(literal 1/2 binary64)))) (-.f64 x (.f64 y #s(literal 1/2 binary64))) (.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) x))) (fma.f64 (-.f64 x (.f64 y #s(literal 1/2 binary64))) (-.f64 x (.f64 y #s(literal 1/2 binary64))) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 (-.f64 x (.f64 y #s(literal 1/2 binary64))) (.f64 x #s(literal 1/2 binary64))))))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 y y) y) (.f64 #s(literal 27/8 binary64) (.f64 (.f64 x x) x))) (fma.f64 #s(literal 1/4 binary64) (.f64 y y) (-.f64 (.f64 #s(literal 9/4 binary64) (.f64 x x)) (.f64 (.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x)))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 (-.f64 x (.f64 y #s(literal 1/2 binary64))) (-.f64 x (.f64 y #s(literal 1/2 binary64)))))) (neg.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) (-.f64 x (*.f64 y #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) x) (.f64 (.f64 (-.f64 x (.f64 y #s(literal 1/2 binary64))) (-.f64 x (.f64 y #s(literal 1/2 binary64)))) (-.f64 x (.f64 y #s(literal 1/2 binary64)))))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (-.f64 (.f64 (-.f64 x (.f64 y #s(literal 1/2 binary64))) (-.f64 x (.f64 y #s(literal 1/2 binary64)))) (.f64 (.f64 x #s(literal 1/2 binary64)) (-.f64 x (.f64 y #s(literal 1/2 binary64))))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 x x) (.f64 (.f64 (-.f64 x y) (-.f64 x y)) #s(literal 1/4 binary64))))) (neg.f64 (neg.f64 (-.f64 x (.f64 (-.f64 x y) #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 (-.f64 x y) (-.f64 x y)) (-.f64 x y)) #s(literal 1/8 binary64) (.f64 (.f64 x x) x)))) (neg.f64 (neg.f64 (fma.f64 (.f64 (-.f64 x y) #s(literal 1/2 binary64)) (fma.f64 (-.f64 x y) #s(literal 1/2 binary64) (neg.f64 x)) (.f64 x x)))))
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(/.f64 (-.f64 (.f64 x (fma.f64 (+.f64 y x) y (.f64 x x))) (.f64 (.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) #s(literal 2 binary64)) (.f64 y #s(literal 1/2 binary64)))) (.f64 (.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) #s(literal 2 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))))
(/.f64 (-.f64 (neg.f64 x) (neg.f64 y)) (.f64 #s(literal -2 binary64) (fma.f64 (+.f64 y x) y (.f64 x x))))
(/.f64 (.f64 (.f64 (-.f64 x y) (+.f64 y x)) (/.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 y x) y (*.f64 x x)))) (+.f64 y x))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 x #s(literal 1/2 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))) (/.f64 (.f64 x #s(literal 1/2 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x)))) (.f64 (/.f64 (.f64 y #s(literal 1/2 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))) (/.f64 (.f64 y #s(literal 1/2 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))))) (fma.f64 x (/.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 y x) y (.f64 x x))) (/.f64 (.f64 y #s(literal 1/2 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x)))))
(/.f64 (neg.f64 (.f64 (-.f64 x y) #s(literal 1/2 binary64))) (neg.f64 (fma.f64 (+.f64 y x) y (.f64 x x))))
(/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) (fma.f64 (+.f64 y x) y (.f64 x x))) (fma.f64 (+.f64 y x) y (.f64 x x)))) (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 y y) y)) (.f64 (.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) (fma.f64 (+.f64 y x) y (.f64 x x))) (fma.f64 (+.f64 y x) y (.f64 x x))))) (fma.f64 (/.f64 (.f64 x #s(literal 1/2 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))) (/.f64 (.f64 x #s(literal 1/2 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))) (fma.f64 (/.f64 (.f64 y #s(literal 1/2 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))) (/.f64 (.f64 y #s(literal 1/2 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))) (.f64 (/.f64 (.f64 x #s(literal 1/2 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))) (/.f64 (.f64 y #s(literal 1/2 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x)))))))
(/.f64 (neg.f64 (.f64 (-.f64 x y) (+.f64 y x))) (neg.f64 (.f64 (.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) #s(literal 2 binary64)) (+.f64 y x))))
(/.f64 (neg.f64 (.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) (-.f64 x y))) (neg.f64 (.f64 (.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) #s(literal 2 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x)))))
(/.f64 (neg.f64 (/.f64 (-.f64 x y) (fma.f64 (+.f64 y x) y (*.f64 x x)))) #s(literal -2 binary64))
(/.f64 (neg.f64 (neg.f64 (-.f64 x y))) (neg.f64 (.f64 #s(literal -2 binary64) (fma.f64 (+.f64 y x) y (.f64 x x)))))
(/.f64 (.f64 (-.f64 x y) #s(literal 1 binary64)) (.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal 2 binary64)))
(/.f64 (.f64 (.f64 (-.f64 x y) (+.f64 y x)) #s(literal 1 binary64)) (.f64 (+.f64 y x) (.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal 2 binary64))))
(/.f64 (.f64 (.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) (-.f64 x y)) #s(literal 1 binary64)) (.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) (.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 x (.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) #s(literal 2 binary64))) (.f64 (.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) #s(literal 2 binary64)) y)) (.f64 (.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) #s(literal 2 binary64)) (.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) (/.f64 (-.f64 x y) (fma.f64 (+.f64 y x) y (*.f64 x x))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) (/.f64 #s(literal 2 binary64) (-.f64 x y))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) (/.f64 #s(literal 2 binary64) (-.f64 x y)))))
(/.f64 (/.f64 (-.f64 x y) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 2 binary64))
(/.f64 (.f64 (-.f64 x y) (+.f64 y x)) (.f64 (.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) #s(literal 2 binary64)) (+.f64 y x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) (/.f64 #s(literal 2 binary64) (-.f64 x y))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 (-.f64 x y) (fma.f64 (+.f64 y x) y (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) (/.f64 #s(literal 2 binary64) (-.f64 x y))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) (/.f64 #s(literal 2 binary64) (-.f64 x y))))
(/.f64 (.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) (-.f64 x y)) (.f64 (.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) #s(literal 2 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))))
(/.f64 (neg.f64 (-.f64 x y)) (.f64 #s(literal -2 binary64) (fma.f64 (+.f64 y x) y (.f64 x x))))
(/.f64 (-.f64 x y) (.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) #s(literal 2 binary64)))
(/.f64 (.f64 (-.f64 x y) #s(literal 1/2 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x)))
(neg.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 x y) (fma.f64 (+.f64 y x) y (.f64 x x)))))
(neg.f64 (/.f64 (-.f64 x y) (.f64 #s(literal -2 binary64) (fma.f64 (+.f64 y x) y (.f64 x x)))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) (fma.f64 (+.f64 y x) y (.f64 (neg.f64 x) x)))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) y (.f64 (neg.f64 x) x)))) (neg.f64 (/.f64 (.f64 y #s(literal 1/2 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x)))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 (.f64 (+.f64 y x) (+.f64 y x)) (+.f64 y x)) (.f64 (.f64 y y) y) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (+.f64 y x) y) (+.f64 y x)) y (.f64 (.f64 x x) (-.f64 (.f64 x x) (.f64 (+.f64 y x) y)))))) (neg.f64 (/.f64 (.f64 y #s(literal 1/2 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x)))))
(fma.f64 (/.f64 x (.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) (fma.f64 (+.f64 y x) y (.f64 (neg.f64 x) x)))) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) y (.f64 (neg.f64 x) x)))) (neg.f64 (/.f64 (.f64 y #s(literal 1/2 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x)))))
(fma.f64 (/.f64 x (fma.f64 (.f64 (.f64 (+.f64 y x) (+.f64 y x)) (+.f64 y x)) (.f64 (.f64 y y) y) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)))) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (+.f64 y x) y) (+.f64 y x)) y (.f64 (.f64 x x) (-.f64 (.f64 x x) (.f64 (+.f64 y x) y)))))) (neg.f64 (/.f64 (.f64 y #s(literal 1/2 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x)))))
(fma.f64 x (/.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 y x) y (.f64 x x))) (neg.f64 (/.f64 (.f64 y #s(literal 1/2 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x)))))
(-.f64 (/.f64 (.f64 (/.f64 (.f64 x #s(literal 1/2 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))) (/.f64 (.f64 x #s(literal 1/2 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x)))) (fma.f64 x (/.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 y x) y (.f64 x x))) (/.f64 (.f64 y #s(literal 1/2 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))))) (/.f64 (.f64 (/.f64 (.f64 y #s(literal 1/2 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))) (/.f64 (.f64 y #s(literal 1/2 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x)))) (fma.f64 x (/.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 y x) y (.f64 x x))) (/.f64 (.f64 y #s(literal 1/2 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))))))
(-.f64 (/.f64 (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) (fma.f64 (+.f64 y x) y (.f64 x x))) (fma.f64 (+.f64 y x) y (.f64 x x)))) (fma.f64 (/.f64 (.f64 x #s(literal 1/2 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))) (/.f64 (.f64 x #s(literal 1/2 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))) (fma.f64 (/.f64 (.f64 y #s(literal 1/2 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))) (/.f64 (.f64 y #s(literal 1/2 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))) (.f64 (/.f64 (.f64 x #s(literal 1/2 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))) (/.f64 (.f64 y #s(literal 1/2 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))))))) (/.f64 (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 y y) y)) (.f64 (.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) (fma.f64 (+.f64 y x) y (.f64 x x))) (fma.f64 (+.f64 y x) y (.f64 x x)))) (fma.f64 (/.f64 (.f64 x #s(literal 1/2 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))) (/.f64 (.f64 x #s(literal 1/2 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))) (fma.f64 (/.f64 (.f64 y #s(literal 1/2 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))) (/.f64 (.f64 y #s(literal 1/2 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))) (.f64 (/.f64 (.f64 x #s(literal 1/2 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))) (/.f64 (.f64 y #s(literal 1/2 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))))))))
(-.f64 (/.f64 (.f64 x (.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) #s(literal 2 binary64))) (.f64 (.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) #s(literal 2 binary64)) (.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) #s(literal 2 binary64)))) (/.f64 (.f64 (.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) #s(literal 2 binary64)) y) (.f64 (.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) #s(literal 2 binary64)) (.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) #s(literal 2 binary64)))))
(-.f64 (/.f64 (.f64 x x) (.f64 (.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) #s(literal 2 binary64)) (+.f64 y x))) (/.f64 (.f64 y y) (.f64 (.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) #s(literal 2 binary64)) (+.f64 y x))))
(-.f64 (/.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) #s(literal 2 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x)))) (/.f64 (.f64 (.f64 y y) y) (.f64 (.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) #s(literal 2 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x)))))
(-.f64 (/.f64 (/.f64 (.f64 x x) (+.f64 y x)) (.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) #s(literal 2 binary64))) (/.f64 (/.f64 (.f64 y y) (+.f64 y x)) (.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) #s(literal 2 binary64))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x x) x) (fma.f64 (+.f64 y x) y (.f64 x x))) (.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) #s(literal 2 binary64))) (/.f64 (/.f64 (.f64 (.f64 y y) y) (fma.f64 (+.f64 y x) y (.f64 x x))) (.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) #s(literal 2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 #s(literal -2 binary64) (fma.f64 (+.f64 y x) y (.f64 x x)))) (/.f64 (-.f64 x y) (.f64 #s(literal -2 binary64) (fma.f64 (+.f64 y x) y (.f64 x x)))))
(-.f64 (/.f64 (.f64 x #s(literal 1/2 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))) (/.f64 (.f64 y #s(literal 1/2 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))))
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (/.f64 #s(literal 2 binary64) (-.f64 x y)))) #s(literal -1 binary64)))
(+.f64 (/.f64 (.f64 x #s(literal 1/2 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))) (neg.f64 (/.f64 (.f64 y #s(literal 1/2 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x)))))

eval250.0ms (5%)

Memory: 66.7MiB live, 439.4MiB allocated
Compiler: Compiled 46 787 to 2 669 computations (94.3% saved)

prune207.0ms (4.1%)

Memory

-33.5MiB live, 333.3MiB allocated

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	1 596	2	1 598
Fresh	3	1	4
Picked	3	2	5
Done	0	0	0
Total	1 602	5	1 607

Accuracy

100.0%

Counts

1 607 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)
▶	100.0%	(fma.f64 x #s(literal 3/2 binary64) (*.f64 #s(literal -1/2 binary64) y))
✓	58.3%	(+.f64 x #s(approx (/ (- x y) 2) (*.f64 y #s(literal -1/2 binary64))))
▶	49.6%	#s(approx (- (+ (* 1/2 x) x) (* 1/2 y)) (*.f64 y #s(literal -1/2 binary64)))
✓	50.9%	#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x))

Compiler

Compiled 36 to 24 computations (33.3% saved)

simplify22.0ms (0.4%)

Memory

6.6MiB live, 42.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 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 #s(literal -1/2 binary64) y)
cost-diff	128	(fma.f64 x #s(literal 3/2 binary64) (*.f64 #s(literal -1/2 binary64) y))
cost-diff	0	(*.f64 y #s(literal -1/2 binary64))
cost-diff	0	#s(approx (- (+ (* 1/2 x) x) (* 1/2 y)) (*.f64 y #s(literal -1/2 binary64)))

Rules

280×	`lower-fma.f32`
278×	`lower-fma.f64`
104×	`lower-*.f32`
102×	`lower-*.f64`
64×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	43
0	22	40
1	41	40
2	69	40
3	118	40
4	198	40
5	314	40
6	478	40
7	531	40
8	539	40
0	539	40

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize49.0ms (1%)

Memory

0.6MiB live, 80.6MiB allocated

Localize:

Found 6 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 y x)
accuracy	0.05859375	(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)
accuracy	0	(fma.f64 x #s(literal 3/2 binary64) (*.f64 #s(literal -1/2 binary64) y))
accuracy	0	(*.f64 #s(literal -1/2 binary64) y)
accuracy	0	(*.f64 y #s(literal -1/2 binary64))
accuracy	32.22998646472077	#s(approx (- (+ (* 1/2 x) x) (* 1/2 y)) (*.f64 y #s(literal -1/2 binary64)))

Samples

32.0ms	242×	0	valid
1.0ms	6×	2	valid
1.0ms	7×	1	valid
0.0ms	1×	3	valid

Compiler

Compiled 43 to 18 computations (58.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-mult: 11.0ms (57.9% of total)

ival-add: 4.0ms (21.1% of total)

ival-sub: 3.0ms (15.8% of total)

adjust: 1.0ms (5.3% of total)

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

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

exact: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory

8.5MiB live, 8.5MiB allocated

Counts

6 → 120

Calls

Call 1

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

30 calls:

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

simplify166.0ms (3.3%)

Memory

-18.8MiB live, 176.7MiB allocated

Algorithm

1×	egg-herbie

Rules

3 688×	`lower-fma.f64`
3 688×	`lower-fma.f32`
1 379×	`lower-*.f64`
1 379×	`lower-*.f32`
691×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	567
1	170	567
2	452	567
3	1297	567
4	3211	567
5	4722	567
6	6772	567
0	8209	513

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 117

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

rewrite256.0ms (5.1%)

Memory

17.2MiB live, 228.1MiB allocated

Rules

3 453×	`lower-fma.f32`
3 451×	`lower-fma.f64`
2 425×	`lower-*.f32`
2 423×	`lower-*.f64`
1 777×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	34
0	22	31
1	103	31
2	814	31
0	8600	31

Stop Event

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

Counts

6 → 214

Calls

Call 1

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

Outputs
#s(approx (- (+ (* 1/2 x) x) (* 1/2 y)) (*.f64 #s(literal -1/2 binary64) y))
(*.f64 (neg.f64 y) #s(literal 1/2 binary64))
(.f64 #s(literal -1 binary64) (.f64 y #s(literal 1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) y)
(*.f64 y #s(literal -1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (neg.f64 y))
(/.f64 (.f64 #s(literal -1/4 binary64) (.f64 y y)) (+.f64 #s(literal 0 binary64) (*.f64 y #s(literal 1/2 binary64))))
(/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 y y) y)) (+.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 y y) (.f64 #s(literal 0 binary64) (.f64 y #s(literal 1/2 binary64))))))
(neg.f64 (*.f64 y #s(literal 1/2 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 y #s(literal 1/2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) y))
(.f64 (.f64 (fma.f64 #s(literal 3/2 binary64) x (.f64 #s(literal -1/2 binary64) y)) (-.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 #s(literal -1/2 binary64) y))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal -1/2 binary64) y))))
(.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) x) (.f64 (.f64 (-.f64 x (.f64 y #s(literal 1/2 binary64))) (-.f64 x (.f64 y #s(literal 1/2 binary64)))) (-.f64 x (.f64 y #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (.f64 (-.f64 x (.f64 y #s(literal 1/2 binary64))) (-.f64 (-.f64 x (.f64 y #s(literal 1/2 binary64))) (*.f64 x #s(literal 1/2 binary64)))))))
(.f64 (fma.f64 #s(literal 27/8 binary64) (.f64 (.f64 x x) x) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 y y) y))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 y y) (.f64 (.f64 #s(literal 3/2 binary64) x) (fma.f64 y #s(literal 1/2 binary64) (.f64 #s(literal 3/2 binary64) x))))))
(.f64 (fma.f64 #s(literal 27/8 binary64) (.f64 (.f64 x x) x) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 y y) y))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -1/2 binary64) y) (fma.f64 #s(literal -3/2 binary64) x (.f64 #s(literal -1/2 binary64) y)) (.f64 #s(literal 9/4 binary64) (.f64 x x)))))
(.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 y y) (.f64 #s(literal -9/4 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))))
(.f64 (neg.f64 (fma.f64 #s(literal 27/8 binary64) (.f64 (.f64 x x) x) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 y y) y)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) y) (fma.f64 #s(literal -3/2 binary64) x (.f64 #s(literal -1/2 binary64) y)) (.f64 #s(literal 9/4 binary64) (.f64 x x))))))
(.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/2 binary64) x (.f64 #s(literal -1/2 binary64) y)))
(.f64 (fma.f64 #s(literal 9/4 binary64) (.f64 x x) (.f64 #s(literal -1/4 binary64) (.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/2 binary64) (*.f64 #s(literal 3/2 binary64) x))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 #s(literal 9/4 binary64) (.f64 x x)) (fma.f64 y #s(literal 1/2 binary64) (.f64 #s(literal 3/2 binary64) x))) (/.f64 (.f64 #s(literal 9/4 binary64) (.f64 x x)) (fma.f64 y #s(literal 1/2 binary64) (.f64 #s(literal 3/2 binary64) x)))) (.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 y y)) (fma.f64 #s(literal -3/2 binary64) x (.f64 #s(literal -1/2 binary64) y))) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 y y)) (fma.f64 #s(literal -3/2 binary64) x (.f64 #s(literal -1/2 binary64) y))))) (+.f64 (/.f64 (.f64 #s(literal 9/4 binary64) (.f64 x x)) (fma.f64 y #s(literal 1/2 binary64) (.f64 #s(literal 3/2 binary64) x))) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 y y)) (fma.f64 #s(literal -3/2 binary64) x (.f64 #s(literal -1/2 binary64) y)))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 #s(literal 27/8 binary64) (.f64 (.f64 x x) x)) (fma.f64 (.f64 #s(literal -1/2 binary64) y) (fma.f64 #s(literal -3/2 binary64) x (.f64 #s(literal -1/2 binary64) y)) (.f64 #s(literal 9/4 binary64) (.f64 x x)))) (/.f64 (.f64 #s(literal 27/8 binary64) (.f64 (.f64 x x) x)) (fma.f64 (.f64 #s(literal -1/2 binary64) y) (fma.f64 #s(literal -3/2 binary64) x (.f64 #s(literal -1/2 binary64) y)) (.f64 #s(literal 9/4 binary64) (.f64 x x))))) (.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 y y) y)) (fma.f64 (.f64 #s(literal -1/2 binary64) y) (fma.f64 #s(literal -3/2 binary64) x (.f64 #s(literal -1/2 binary64) y)) (.f64 #s(literal 9/4 binary64) (.f64 x x)))) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 y y) y)) (fma.f64 (.f64 #s(literal -1/2 binary64) y) (fma.f64 #s(literal -3/2 binary64) x (.f64 #s(literal -1/2 binary64) y)) (.f64 #s(literal 9/4 binary64) (.f64 x x)))))) (+.f64 (/.f64 (.f64 #s(literal 27/8 binary64) (.f64 (.f64 x x) x)) (fma.f64 (.f64 #s(literal -1/2 binary64) y) (fma.f64 #s(literal -3/2 binary64) x (.f64 #s(literal -1/2 binary64) y)) (.f64 #s(literal 9/4 binary64) (.f64 x x)))) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 y y) y)) (fma.f64 (.f64 #s(literal -1/2 binary64) y) (fma.f64 #s(literal -3/2 binary64) x (.f64 #s(literal -1/2 binary64) y)) (.f64 #s(literal 9/4 binary64) (.f64 x x))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (neg.f64 y) x)) (.f64 #s(literal 1/2 binary64) (+.f64 (neg.f64 y) x))) (.f64 x x)) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (neg.f64 y) x)) x))
(/.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y x) (fma.f64 #s(literal -1/2 binary64) y x)) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (-.f64 (fma.f64 #s(literal -1/2 binary64) y x) (.f64 x #s(literal 1/2 binary64))))
(/.f64 (-.f64 (.f64 (-.f64 x (.f64 y #s(literal 1/2 binary64))) (-.f64 x (.f64 y #s(literal 1/2 binary64)))) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (-.f64 (-.f64 x (.f64 y #s(literal 1/2 binary64))) (*.f64 x #s(literal 1/2 binary64))))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 #s(literal 1/2 binary64) (-.f64 x y)) (.f64 #s(literal 1/2 binary64) (-.f64 x y)))) (-.f64 x (*.f64 #s(literal 1/2 binary64) (-.f64 x y))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 #s(literal 9/4 binary64) (.f64 x x)) (fma.f64 y #s(literal 1/2 binary64) (.f64 #s(literal 3/2 binary64) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 y y)) (fma.f64 #s(literal -3/2 binary64) x (.f64 #s(literal -1/2 binary64) y))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 #s(literal 9/4 binary64) (.f64 x x)) (fma.f64 y #s(literal 1/2 binary64) (.f64 #s(literal 3/2 binary64) x))) (/.f64 (.f64 #s(literal 9/4 binary64) (.f64 x x)) (fma.f64 y #s(literal 1/2 binary64) (.f64 #s(literal 3/2 binary64) x))) (fma.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 y y)) (fma.f64 #s(literal -3/2 binary64) x (.f64 #s(literal -1/2 binary64) y))) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 y y)) (fma.f64 #s(literal -3/2 binary64) x (.f64 #s(literal -1/2 binary64) y))) (.f64 (/.f64 (.f64 #s(literal 9/4 binary64) (.f64 x x)) (fma.f64 y #s(literal 1/2 binary64) (.f64 #s(literal 3/2 binary64) x))) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 y y)) (fma.f64 #s(literal -3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 #s(literal 27/8 binary64) (.f64 (.f64 x x) x)) (fma.f64 (.f64 #s(literal -1/2 binary64) y) (fma.f64 #s(literal -3/2 binary64) x (.f64 #s(literal -1/2 binary64) y)) (.f64 #s(literal 9/4 binary64) (.f64 x x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 y y) y)) (fma.f64 (.f64 #s(literal -1/2 binary64) y) (fma.f64 #s(literal -3/2 binary64) x (.f64 #s(literal -1/2 binary64) y)) (.f64 #s(literal 9/4 binary64) (.f64 x x)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 #s(literal 27/8 binary64) (.f64 (.f64 x x) x)) (fma.f64 (.f64 #s(literal -1/2 binary64) y) (fma.f64 #s(literal -3/2 binary64) x (.f64 #s(literal -1/2 binary64) y)) (.f64 #s(literal 9/4 binary64) (.f64 x x)))) (/.f64 (.f64 #s(literal 27/8 binary64) (.f64 (.f64 x x) x)) (fma.f64 (.f64 #s(literal -1/2 binary64) y) (fma.f64 #s(literal -3/2 binary64) x (.f64 #s(literal -1/2 binary64) y)) (.f64 #s(literal 9/4 binary64) (.f64 x x)))) (fma.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 y y) y)) (fma.f64 (.f64 #s(literal -1/2 binary64) y) (fma.f64 #s(literal -3/2 binary64) x (.f64 #s(literal -1/2 binary64) y)) (.f64 #s(literal 9/4 binary64) (.f64 x x)))) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 y y) y)) (fma.f64 (.f64 #s(literal -1/2 binary64) y) (fma.f64 #s(literal -3/2 binary64) x (.f64 #s(literal -1/2 binary64) y)) (.f64 #s(literal 9/4 binary64) (.f64 x x)))) (.f64 (/.f64 (.f64 #s(literal 27/8 binary64) (.f64 (.f64 x x) x)) (fma.f64 (.f64 #s(literal -1/2 binary64) y) (fma.f64 #s(literal -3/2 binary64) x (.f64 #s(literal -1/2 binary64) y)) (.f64 #s(literal 9/4 binary64) (.f64 x x)))) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 y y) y)) (fma.f64 (.f64 #s(literal -1/2 binary64) y) (fma.f64 #s(literal -3/2 binary64) x (.f64 #s(literal -1/2 binary64) y)) (.f64 #s(literal 9/4 binary64) (*.f64 x x))))))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (neg.f64 y) x)) #s(literal 3 binary64)) (.f64 (.f64 x x) x)) (fma.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (neg.f64 y) x)) (.f64 #s(literal 1/2 binary64) (+.f64 (neg.f64 y) x)) (-.f64 (.f64 x x) (.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (neg.f64 y) x)) x))))
(/.f64 (+.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) y x) #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) x))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y x) (fma.f64 #s(literal -1/2 binary64) y x) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 (fma.f64 #s(literal -1/2 binary64) y x) (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (fma.f64 (.f64 (-.f64 x (.f64 y #s(literal 1/2 binary64))) (-.f64 x (.f64 y #s(literal 1/2 binary64)))) (-.f64 x (.f64 y #s(literal 1/2 binary64))) (.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) x))) (fma.f64 (-.f64 x (.f64 y #s(literal 1/2 binary64))) (-.f64 x (.f64 y #s(literal 1/2 binary64))) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 (-.f64 x (.f64 y #s(literal 1/2 binary64))) (.f64 x #s(literal 1/2 binary64))))))
(/.f64 (fma.f64 (.f64 x x) x (pow.f64 (.f64 #s(literal 1/2 binary64) (-.f64 x y)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) (-.f64 x y)) (.f64 #s(literal 1/2 binary64) (-.f64 x y))) (.f64 x (*.f64 #s(literal 1/2 binary64) (-.f64 x y))))))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal 3/2 binary64) x (.f64 #s(literal -1/2 binary64) y)) (-.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 #s(literal -1/2 binary64) y)))) (neg.f64 (-.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 #s(literal -1/2 binary64) y))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) x) (.f64 (.f64 (-.f64 x (.f64 y #s(literal 1/2 binary64))) (-.f64 x (.f64 y #s(literal 1/2 binary64)))) (-.f64 x (.f64 y #s(literal 1/2 binary64)))))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (.f64 (-.f64 x (.f64 y #s(literal 1/2 binary64))) (-.f64 (-.f64 x (.f64 y #s(literal 1/2 binary64))) (.f64 x #s(literal 1/2 binary64)))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 y y) (.f64 #s(literal -9/4 binary64) (.f64 x x)))) (neg.f64 (fma.f64 #s(literal -3/2 binary64) x (.f64 #s(literal -1/2 binary64) y))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 27/8 binary64) (.f64 (.f64 x x) x) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 y y) y))))) (neg.f64 (neg.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) y) (fma.f64 #s(literal -3/2 binary64) x (.f64 #s(literal -1/2 binary64) y)) (.f64 #s(literal 9/4 binary64) (*.f64 x x))))))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 81/16 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 #s(literal 1/16 binary64) (.f64 (.f64 y y) (.f64 y y)))) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 9/4 binary64) (.f64 x x) (.f64 #s(literal 1/4 binary64) (.f64 y y))) (fma.f64 y #s(literal 1/2 binary64) (.f64 #s(literal 3/2 binary64) x))))
(/.f64 (.f64 (fma.f64 #s(literal 729/64 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)))) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 81/16 binary64) (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (fma.f64 #s(literal 1/4 binary64) (.f64 y y) (.f64 #s(literal 9/4 binary64) (.f64 x x))))) (fma.f64 y #s(literal 1/2 binary64) (*.f64 #s(literal 3/2 binary64) x))))
(/.f64 (.f64 (fma.f64 #s(literal 729/64 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)))) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 27/8 binary64) (.f64 (.f64 x x) x) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 y y) y))) (fma.f64 (.f64 #s(literal -1/2 binary64) y) (fma.f64 #s(literal -3/2 binary64) x (.f64 #s(literal -1/2 binary64) y)) (.f64 #s(literal 9/4 binary64) (.f64 x x)))))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 19683/512 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x))) (.f64 #s(literal 1/512 binary64) (.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) (.f64 (.f64 y y) y)))) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 729/64 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 y y) y)) (fma.f64 #s(literal 27/8 binary64) (.f64 (.f64 x x) x) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 y y) y))))) (fma.f64 (.f64 #s(literal -1/2 binary64) y) (fma.f64 #s(literal -3/2 binary64) x (.f64 #s(literal -1/2 binary64) y)) (.f64 #s(literal 9/4 binary64) (.f64 x x)))))
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(/.f64 (.f64 (fma.f64 y y (.f64 x (+.f64 y x))) (-.f64 y x)) (fma.f64 y y (*.f64 x (+.f64 y x))))
(neg.f64 (/.f64 (*.f64 (neg.f64 (+.f64 y x)) (-.f64 y x)) (+.f64 y x)))
(neg.f64 (/.f64 (.f64 (fma.f64 y y (.f64 x (+.f64 y x))) (neg.f64 (-.f64 y x))) (fma.f64 y y (*.f64 x (+.f64 y x)))))
(neg.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (neg.f64 (+.f64 y x))))
(neg.f64 (/.f64 (.f64 (fma.f64 y y (.f64 x (+.f64 y x))) (-.f64 y x)) (neg.f64 (fma.f64 y y (*.f64 x (+.f64 y x))))))
(fma.f64 #s(literal -1 binary64) x y)
(fma.f64 (.f64 y y) (/.f64 #s(literal 1 binary64) (+.f64 y x)) (neg.f64 (/.f64 (.f64 x x) (+.f64 y x))))
(fma.f64 (.f64 (.f64 y y) y) (/.f64 #s(literal 1 binary64) (fma.f64 y y (.f64 x (+.f64 y x)))) (neg.f64 (/.f64 (.f64 (.f64 x x) x) (fma.f64 y y (.f64 x (+.f64 y x))))))
(-.f64 (+.f64 y #s(literal 0 binary64)) x)
(-.f64 (/.f64 (.f64 y y) (+.f64 y x)) (/.f64 (.f64 x x) (+.f64 y x)))
(-.f64 (/.f64 (.f64 (.f64 y y) y) (fma.f64 y y (.f64 x (+.f64 y x)))) (/.f64 (.f64 (.f64 x x) x) (fma.f64 y y (.f64 x (+.f64 y x)))))
(-.f64 #s(literal 0 binary64) (-.f64 x y))
(-.f64 y x)
(+.f64 (/.f64 (.f64 y y) (+.f64 y x)) (neg.f64 (/.f64 (.f64 x x) (+.f64 y x))))
(+.f64 (/.f64 (.f64 (.f64 y y) y) (fma.f64 y y (.f64 x (+.f64 y x)))) (neg.f64 (/.f64 (.f64 (.f64 x x) x) (fma.f64 y y (.f64 x (+.f64 y x))))))
(+.f64 (neg.f64 x) y)
(+.f64 y (neg.f64 x))

eval148.0ms (2.9%)

Memory: -6.5MiB live, 72.5MiB allocated
Compiler: Compiled 6 597 to 671 computations (89.8% saved)

prune134.0ms (2.7%)

Memory

-7.3MiB live, 71.0MiB allocated

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	331	0	331
Fresh	0	0	0
Picked	0	3	3
Done	0	2	2
Total	331	5	336

Accuracy

100.0%

Counts

336 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)
✓	100.0%	(fma.f64 x #s(literal 3/2 binary64) (*.f64 #s(literal -1/2 binary64) y))
✓	58.3%	(+.f64 x #s(approx (/ (- x y) 2) (*.f64 y #s(literal -1/2 binary64))))
✓	49.6%	#s(approx (- (+ (* 1/2 x) x) (* 1/2 y)) (*.f64 y #s(literal -1/2 binary64)))
✓	50.9%	#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x))

Compiler

Compiled 149 to 62 computations (58.4% saved)

regimes13.0ms (0.3%)

Memory

20.1MiB live, 20.1MiB allocated

Counts

12 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

regimes55.0ms (1.1%)

Memory

-24.7MiB live, 14.6MiB allocated

Counts

5 → 1

Calls

Call 1

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

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

Calls

3 calls:

50.0ms	y
2.0ms	x
2.0ms	(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))

Results

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes7.0ms (0.1%)

Memory

13.3MiB live, 13.3MiB allocated

Counts

4 → 3

Calls

Call 1

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

Outputs

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

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

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

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
78.3%	3	`x`
80.5%	3	`y`
66.8%	5	`(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes2.0ms (0%)

Memory

4.3MiB live, 4.3MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs

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

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

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
78.7%	3	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0.1%)

Memory

9.4MiB live, 9.4MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
50.9%	1	`(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))`
50.9%	1	`x`
50.9%	1	`y`

Compiler

Compiled 15 to 10 computations (33.3% saved)

bsearch72.0ms (1.4%)

Memory

-3.3MiB live, 38.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	3.3452677003313607e+36	2.659479714339714e+44
59.0ms	-5.4203156337891075e-18	-4.644555095300156e-22

Samples

10.0ms	256×	0	valid
1.0ms	10×	1	valid
1.0ms	6×	2	valid

Compiler

Compiled 284 to 198 computations (30.3% saved)

Precisions

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

ival-div: 2.0ms (34.4% of total)

ival-sub: 2.0ms (34.4% of total)

ival-add: 1.0ms (17.2% 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)

bsearch11.0ms (0.2%)

Memory

-29.6MiB live, 9.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	3.3452677003313607e+36	2.659479714339714e+44
1.0ms	-5.4203156337891075e-18	-4.644555095300156e-22

Samples

2.0ms	45×	0	valid
0.0ms	3×	1	valid

Compiler

Compiled 250 to 181 computations (27.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

adjust: 0.0ms (0% of total)

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

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

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

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

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

exact: 0.0ms (0% of total)

simplify7.0ms (0.1%)

Memory

11.8MiB live, 11.8MiB allocated

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
3×	`+-commutative_binary64`
2×	`sub-neg_binary64`
1×	`neg-sub0_binary64`
1×	`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 x #s(literal 3/2 binary64) (*.f64 #s(literal -1/2 binary64) y))
(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)
(if (<=.f64 y #s(literal -5815372481559007/20769187434139310514121985316880384 binary64)) (+.f64 x #s(approx (/ (- x y) 2) (.f64 y #s(literal -1/2 binary64)))) (if (<=.f64 y #s(literal 289999999999999988258055890934410369826816 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 -376441522243775/1298074214633706907132624082305024 binary64)) #s(approx (+ x (/ (- x y) 2)) (.f64 y #s(literal -1/2 binary64))) (if (<=.f64 y #s(literal 419999999999999990998348440870828864700416 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 3/2 binary64) x))

Outputs
(fma.f64 x #s(literal 3/2 binary64) (*.f64 #s(literal -1/2 binary64) y))
(fma.f64 x #s(literal 3/2 binary64) (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)
(if (<=.f64 y #s(literal -5815372481559007/20769187434139310514121985316880384 binary64)) (+.f64 x #s(approx (/ (- x y) 2) (.f64 y #s(literal -1/2 binary64)))) (if (<=.f64 y #s(literal 289999999999999988258055890934410369826816 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 -5815372481559007/20769187434139310514121985316880384 binary64)) (+.f64 #s(approx (/ (- x y) 2) (.f64 y #s(literal -1/2 binary64))) x) (if (<=.f64 y #s(literal 289999999999999988258055890934410369826816 binary64)) #s(approx (+ x (/ (- x y) 2)) (.f64 #s(literal 3/2 binary64) x)) (+.f64 #s(approx (/ (- x y) 2) (*.f64 y #s(literal -1/2 binary64))) x)))
(if (<=.f64 y #s(literal -376441522243775/1298074214633706907132624082305024 binary64)) #s(approx (+ x (/ (- x y) 2)) (.f64 y #s(literal -1/2 binary64))) (if (<=.f64 y #s(literal 419999999999999990998348440870828864700416 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 3/2 binary64) x))

soundness738.0ms (14.7%)

Memory

-17.7MiB live, 359.1MiB allocated

Rules

3 752×	`lower-fma.f64`
3 752×	`lower-fma.f32`
3 033×	`lower-fma.f32`
3 029×	`lower-fma.f64`
2 599×	`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	6	15
0	9	15
1	48	15
2	400	15
3	5080	15
0	8183	14
0	27	133
0	47	107
1	204	107
2	1988	107
0	9153	103

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)

preprocess79.0ms (1.6%)

Memory: 26.5MiB live, 145.4MiB 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	15	43
0	22	40
1	41	40
2	69	40
3	118	40
4	198	40
5	314	40
6	478	40
7	531	40
8	539	40
0	539	40

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	15	43
0	22	40
1	41	40
2	69	40
3	118	40
4	198	40
5	314	40
6	478	40
7	531	40
8	539	40
0	539	40

start0.0ms (0%)

analyze0.0ms (0%)

sample882.0ms (17.6%)

explain69.0ms (1.4%)

preprocess94.0ms (1.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify21.0ms (0.4%)

localize44.0ms (0.9%)

series7.0ms (0.1%)

simplify168.0ms (3.4%)

rewrite236.0ms (4.7%)

eval47.0ms (0.9%)

prune96.0ms (1.9%)

simplify340.0ms (6.8%)

localize112.0ms (2.2%)

series79.0ms (1.6%)

simplify227.0ms (4.5%)

rewrite377.0ms (7.5%)

eval250.0ms (5%)

prune207.0ms (4.1%)

simplify22.0ms (0.4%)

localize49.0ms (1%)

series5.0ms (0.1%)

simplify166.0ms (3.3%)

rewrite256.0ms (5.1%)

eval148.0ms (2.9%)

prune134.0ms (2.7%)

regimes13.0ms (0.3%)

regimes55.0ms (1.1%)

regimes7.0ms (0.1%)

regimes2.0ms (0%)

regimes4.0ms (0.1%)

bsearch72.0ms (1.4%)

bsearch11.0ms (0.2%)

simplify7.0ms (0.1%)

soundness738.0ms (14.7%)

preprocess79.0ms (1.6%)

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	15	43
0	22	40
1	41	40
2	69	40
3	118	40
4	198	40
5	314	40
6	478	40
7	531	40
8	539	40
0	539	40