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

0.7MiB live, 0.7MiB 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)

sample828.0ms (16.3%)

Memory

5.2MiB live, 1 097.6MiB allocated

Samples

462.0ms	7 633×	0	valid
32.0ms	201×	2	valid
22.0ms	142×	3	valid
21.0ms	280×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 244.0ms

ival-sub: 82.0ms (33.6% of total)

ival-div: 70.0ms (28.7% of total)

ival-add: 57.0ms (23.4% of total)

adjust: 22.0ms (9% of total)

ival-true: 5.0ms (2.1% of total)

exact: 5.0ms (2.1% of total)

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

Bogosity

explain103.0ms (2%)

Memory

16.0MiB live, 102.9MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

47.0ms	486×	0	valid
1.0ms	10×	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 (36.2% of total)

ival-sub: 3.0ms (27.2% of total)

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

adjust: 1.0ms (9.1% of total)

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

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

exact: 0.0ms (0% of total)

preprocess91.0ms (1.8%)

Memory

-38.5MiB live, 91.4MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 9 to 6 computations (33.3% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

0.9MiB live, 0.9MiB 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)

simplify24.0ms (0.5%)

Memory

29.3MiB live, 29.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize30.0ms (0.6%)

Memory

-23.6MiB live, 46.2MiB 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	0.0546875	(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))

Samples

17.0ms	243×	0	valid
1.0ms	7×	1	valid
1.0ms	5×	2	valid
0.0ms	1×	3	valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

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

ival-add: 6.0ms (56.7% of total)

ival-div: 2.0ms (18.9% of total)

ival-sub: 2.0ms (18.9% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory

8.9MiB live, 8.9MiB 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))

simplify202.0ms (4%)

Memory

25.7MiB live, 225.6MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 69

Calls

Call 1

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

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

rewrite335.0ms (6.6%)

Memory

-51.5MiB live, 405.4MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

3 → 353

Calls

Call 1

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

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

eval54.0ms (1.1%)

Memory: 14.6MiB live, 131.7MiB allocated
Compiler: Compiled 8 964 to 1 111 computations (87.6% saved)

prune68.0ms (1.3%)

Memory

12.8MiB live, 175.6MiB allocated

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	411	11	422
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	412	11	423

Accuracy

100.0%

Counts

423 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	23.4%	(fma.f64 (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))) (/.f64 #s(literal 1/2 binary64) (fma.f64 x x (.f64 y (+.f64 x y)))) x)
	52.2%	(fma.f64 (fma.f64 x x (.f64 y (+.f64 x y))) (/.f64 (-.f64 x y) (.f64 #s(literal 2 binary64) (fma.f64 x x (*.f64 y (+.f64 x y))))) x)
	99.9%	(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)
	55.9%	(fma.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (/.f64 #s(literal 1/2 binary64) (+.f64 x y)) x)
▶	99.9%	(fma.f64 x #s(literal 1/2 binary64) (fma.f64 y #s(literal -1/2 binary64) x))
	78.0%	(+.f64 x (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) y)) (.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 2 binary64) y))))
▶	99.8%	(+.f64 x (/.f64 (.f64 (+.f64 x y) (.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (+.f64 x y)))) #s(literal 2 binary64)))
▶	99.8%	(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 x y))))
▶	56.4%	(+.f64 x #s(approx (/ (- x y) 2) (*.f64 #s(literal -1/2 binary64) y)))
	53.4%	#s(approx (+ x (/ (- x y) 2)) (*.f64 x #s(literal 3/2 binary64)))
▶	47.5%	#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal -1/2 binary64) y))

Compiler

Compiled 312 to 170 computations (45.5% saved)

simplify228.0ms (4.5%)

Memory

-5.8MiB live, 221.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score
cost-diff	128	(+.f64 x (/.f64 (.f64 (+.f64 x y) (.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (+.f64 x y)))) #s(literal 2 binary64)))
cost-diff	320	(*.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (+.f64 x y)))
cost-diff	384	(/.f64 (.f64 (+.f64 x y) (.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (+.f64 x y)))) #s(literal 2 binary64))
cost-diff	1408	(.f64 (+.f64 x y) (.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (+.f64 x y))))
cost-diff	0	(-.f64 x y)
cost-diff	0	(/.f64 #s(literal 2 binary64) (-.f64 x y))
cost-diff	128	(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 x y))))
cost-diff	1088	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 x y)))
cost-diff	0	(*.f64 #s(literal -1/2 binary64) y)
cost-diff	0	#s(approx (/ (- x y) 2) (*.f64 #s(literal -1/2 binary64) y))
cost-diff	0	(+.f64 x #s(approx (/ (- x y) 2) (*.f64 #s(literal -1/2 binary64) y)))
cost-diff	0	(*.f64 #s(literal -1/2 binary64) y)
cost-diff	0	#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal -1/2 binary64) y))
cost-diff	0	(fma.f64 y #s(literal -1/2 binary64) x)
cost-diff	192	(fma.f64 x #s(literal 1/2 binary64) (fma.f64 y #s(literal -1/2 binary64) x))

Rules

6 860×	`lower-fma.f32`
6 856×	`lower-fma.f64`
4 094×	`lower-*.f32`
4 088×	`lower-*.f64`
2 192×	`lower-neg.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	154
0	41	120
1	70	118
2	138	118
3	390	118
4	1672	118
5	4386	118
0	8267	114

Stop Event

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

Calls

Call 1

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

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

localize152.0ms (3%)

Memory

8.9MiB live, 103.8MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0.01953125	(/.f64 #s(literal 1 binary64) (+.f64 x y))
accuracy	0.045253759768442016	(.f64 (+.f64 x y) (.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (+.f64 x y))))
accuracy	0.0546875	(+.f64 x (/.f64 (.f64 (+.f64 x y) (.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (+.f64 x y)))) #s(literal 2 binary64)))
accuracy	0.14453125	(*.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (+.f64 x y)))
accuracy	0	(-.f64 x y)
accuracy	0.01953125	(/.f64 #s(literal 2 binary64) (-.f64 x y))
accuracy	0.0546875	(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 x y))))
accuracy	0.18359375	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 x y)))
accuracy	0	(*.f64 #s(literal -1/2 binary64) y)
accuracy	0.0546875	(+.f64 x #s(approx (/ (- x y) 2) (*.f64 #s(literal -1/2 binary64) y)))
accuracy	33.533503938003406	#s(approx (/ (- x y) 2) (*.f64 #s(literal -1/2 binary64) y))
accuracy	0	(*.f64 #s(literal -1/2 binary64) y)
accuracy	33.580765486117286	#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal -1/2 binary64) y))
accuracy	0	(fma.f64 y #s(literal -1/2 binary64) x)
accuracy	0.0546875	(fma.f64 x #s(literal 1/2 binary64) (fma.f64 y #s(literal -1/2 binary64) x))

Samples

70.0ms	230×	0	valid
4.0ms	9×	2	valid
4.0ms	13×	1	valid
2.0ms	4×	3	valid

Compiler

Compiled 147 to 25 computations (83% saved)

Precisions

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

ival-add: 43.0ms (67% of total)

ival-div: 9.0ms (14% of total)

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

adjust: 2.0ms (3.1% of total)

ival-sub: 1.0ms (1.6% of total)

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

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

exact: 0.0ms (0% of total)

series66.0ms (1.3%)

Memory

-8.0MiB live, 27.4MiB allocated

Counts

15 → 348

Calls

Call 1

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

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

Calls

87 calls:

Time	Variable		Point	Expression
46.0ms	x	@	-inf	(/ (* (+ x y) (* (- x y) (/ 1 (+ x y)))) 2)
1.0ms	y	@	-inf	(* (- x y) (/ 1 (+ x y)))
1.0ms	y	@	inf	(* -1/2 y)
1.0ms	y	@	inf	(* (- x y) (/ 1 (+ x y)))
0.0ms	x	@	-inf	(* (- x y) (/ 1 (+ x y)))

simplify438.0ms (8.6%)

Memory

31.4MiB live, 369.4MiB allocated

Algorithm

1×	egg-herbie

Rules

10 544×	`lower-fma.f64`
10 544×	`lower-fma.f32`
3 576×	`lower-*.f64`
3 576×	`lower-*.f32`
3 166×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	365	2821
1	1149	2709
2	3264	2601
0	8242	2376

Stop Event

1×	iter limit
1×	node limit

Counts

348 → 339

Calls

Call 1

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

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

rewrite334.0ms (6.6%)

Memory

-14.2MiB live, 476.9MiB allocated

Rules

4 960×	`lower-fma.f32`
4 956×	`lower-fma.f64`
4 920×	`lower-/.f32`
4 912×	`lower-/.f64`
4 424×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	128
0	41	92
1	177	92
2	1545	92
0	8418	89

Stop Event

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

Counts

15 → 1 168

Calls

Call 1

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

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

eval295.0ms (5.8%)

Memory: 15.7MiB live, 605.7MiB allocated
Compiler: Compiled 39 958 to 4 175 computations (89.6% saved)

prune217.0ms (4.3%)

Memory

-11.6MiB live, 437.8MiB allocated

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	1 683	2	1 685
Fresh	5	1	6
Picked	3	2	5
Done	0	0	0
Total	1 691	5	1 696

Accuracy

100.0%

Counts

1 696 → 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)
✓	56.4%	(+.f64 x #s(approx (/ (- x y) 2) (*.f64 #s(literal -1/2 binary64) y)))
▶	100.0%	#s(approx (+ (* x 1/2) (+ (* y -1/2) x)) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)))
▶	53.4%	#s(approx (+ (* x 1/2) (+ (* y -1/2) x)) (*.f64 #s(literal 3/2 binary64) x))
✓	47.5%	#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal -1/2 binary64) y))

Compiler

Compiled 37 to 24 computations (35.1% saved)

simplify45.0ms (0.9%)

Memory

-13.4MiB live, 24.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 7 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	0	#s(approx (+ (* x 1/2) (+ (* y -1/2) x)) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)))
cost-diff	128	(fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))
cost-diff	0	(*.f64 #s(literal 3/2 binary64) x)
cost-diff	0	#s(approx (+ (* x 1/2) (+ (* y -1/2) x)) (*.f64 #s(literal 3/2 binary64) x))

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	59
0	22	65
1	36	65
2	52	53
3	75	53
4	100	53
5	139	53
6	221	53
7	338	53
8	449	53
9	527	53
10	534	53
11	536	53
0	536	53

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

localize47.0ms (0.9%)

Memory

-4.9MiB live, 76.5MiB allocated

Localize:

Found 7 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 y x)
accuracy	0.0546875	(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)
accuracy	0	(fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))
accuracy	0	(*.f64 #s(literal -1/2 binary64) y)
accuracy	0	#s(approx (+ (* x 1/2) (+ (* y -1/2) x)) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)))
accuracy	0	(*.f64 #s(literal 3/2 binary64) x)
accuracy	29.8109158579842	#s(approx (+ (* x 1/2) (+ (* y -1/2) x)) (*.f64 #s(literal 3/2 binary64) x))

Samples

23.0ms	243×	0	valid
1.0ms	5×	2	valid
1.0ms	7×	1	valid
0.0ms	1×	3	valid

Compiler

Compiled 52 to 17 computations (67.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-mult: 8.0ms (49.6% of total)

ival-add: 6.0ms (37.2% of total)

adjust: 1.0ms (6.2% of total)

ival-sub: 1.0ms (6.2% of total)

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

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

exact: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory

13.6MiB live, 13.6MiB allocated

Counts

7 → 144

Calls

Call 1

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

36 calls:

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

simplify193.0ms (3.8%)

Memory

7.2MiB live, 236.6MiB allocated

Algorithm

1×	egg-herbie

Rules

8 268×	`lower-fma.f64`
8 268×	`lower-fma.f32`
2 744×	`lower-*.f64`
2 744×	`lower-*.f32`
1 232×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	711
1	164	711
2	451	711
3	1261	711
4	3164	711
5	4575	711
6	6599	711
7	7936	711
0	8127	639

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 141

Calls

Call 1

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

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

rewrite313.0ms (6.2%)

Memory

-20.9MiB live, 426.1MiB allocated

Rules

8 626×	`lower-fma.f32`
8 622×	`lower-fma.f64`
5 512×	`lower-*.f32`
5 508×	`lower-*.f64`
3 734×	`lower-/.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	50
0	22	56
1	98	56
2	762	44
0	8551	44

Stop Event

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

Counts

7 → 333

Calls

Call 1

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

eval55.0ms (1.1%)

Memory: -0.3MiB live, 118.6MiB allocated
Compiler: Compiled 11 628 to 664 computations (94.3% saved)

prune62.0ms (1.2%)

Memory

23.0MiB live, 136.2MiB allocated

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	474	0	474
Fresh	0	0	0
Picked	0	3	3
Done	0	2	2
Total	474	5	479

Accuracy

100.0%

Counts

479 → 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)
✓	56.4%	(+.f64 x #s(approx (/ (- x y) 2) (*.f64 #s(literal -1/2 binary64) y)))
✓	100.0%	#s(approx (+ (* x 1/2) (+ (* y -1/2) x)) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)))
✓	53.4%	#s(approx (+ (* x 1/2) (+ (* y -1/2) x)) (*.f64 #s(literal 3/2 binary64) x))
✓	47.5%	#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal -1/2 binary64) y))

Compiler

Compiled 191 to 74 computations (61.3% saved)

regimes32.0ms (0.6%)

Memory

-15.9MiB live, 25.2MiB allocated

Counts

14 → 1

Calls

Call 1

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

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

Calls

3 calls:

22.0ms	x
5.0ms	(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))
5.0ms	y

Results

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes8.0ms (0.2%)

Memory

14.1MiB live, 14.1MiB allocated

Counts

5 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

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

13.2MiB live, 13.2MiB allocated

Counts

4 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
77.7%	3	`x`
78.7%	3	`y`
65.6%	4	`(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes4.0ms (0.1%)

Memory

7.9MiB live, 7.9MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs

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

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

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

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

Calls

2 calls:

2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
76.3%	3	`x`
76.6%	3	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes33.0ms (0.6%)

Memory

-28.6MiB live, 9.3MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

30.0ms	y
1.0ms	x
1.0ms	(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
47.5%	1	`(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))`
47.5%	1	`x`
47.5%	1	`y`

Compiler

Compiled 15 to 10 computations (33.3% saved)

bsearch23.0ms (0.5%)

Memory

3.4MiB live, 40.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	4.05155904462476e-26	2.4360748919713615e-25
12.0ms	-0.0003309070910414122	-8.38821723850408e-11

Samples

9.0ms	223×	0	valid
1.0ms	8×	2	valid
1.0ms	9×	1	valid

Compiler

Compiled 252 to 176 computations (30.2% saved)

Precisions

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

ival-div: 2.0ms (38% of total)

ival-sub: 2.0ms (38% of total)

ival-add: 1.0ms (19% 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)

bsearch23.0ms (0.4%)

Memory

4.9MiB live, 41.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	11424873314.382412	56801731211975.945
9.0ms	-0.0003309070910414122	-8.38821723850408e-11

Samples

11.0ms	227×	0	valid
1.0ms	8×	1	valid
1.0ms	5×	2	valid

Compiler

Compiled 250 to 181 computations (27.6% saved)

Precisions

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

ival-add: 3.0ms (42.9% of total)

ival-div: 2.0ms (28.6% of total)

ival-sub: 1.0ms (14.3% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

simplify8.0ms (0.2%)

Memory

17.6MiB live, 17.6MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	115
1	40	115
2	45	115
3	47	115
4	48	115

Stop Event

1×

saturated

Calls

Call 1

Inputs
#s(approx (+ (* x 1/2) (+ (* y -1/2) x)) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)))
(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)
(if (<=.f64 y #s(literal -2184094498327211/1180591620717411303424 binary64)) (+.f64 x #s(approx (/ (- x y) 2) (.f64 #s(literal -1/2 binary64) y))) (if (<=.f64 y #s(literal 2504478220538107/21778071482940061661655974875633165533184 binary64)) #s(approx (+ x (/ (- x y) 2)) (.f64 x #s(literal 3/2 binary64))) (+.f64 x #s(approx (/ (- x y) 2) (*.f64 #s(literal -1/2 binary64) y)))))
(if (<=.f64 y #s(literal -3984496719921263/295147905179352825856 binary64)) #s(approx (+ x (/ (- x y) 2)) (.f64 #s(literal -1/2 binary64) y)) (if (<=.f64 y #s(literal 880000000000 binary64)) #s(approx (+ x (/ (- x y) 2)) (.f64 x #s(literal 3/2 binary64))) #s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal -1/2 binary64) y))))
#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal -1/2 binary64) y))

Outputs
#s(approx (+ (* x 1/2) (+ (* y -1/2) x)) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)))
#s(approx (+ (* x 1/2) (+ (* y -1/2) x)) (fma.f64 #s(literal 3/2 binary64) x (*.f64 y #s(literal -1/2 binary64))))
(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)
(if (<=.f64 y #s(literal -2184094498327211/1180591620717411303424 binary64)) (+.f64 x #s(approx (/ (- x y) 2) (.f64 #s(literal -1/2 binary64) y))) (if (<=.f64 y #s(literal 2504478220538107/21778071482940061661655974875633165533184 binary64)) #s(approx (+ x (/ (- x y) 2)) (.f64 x #s(literal 3/2 binary64))) (+.f64 x #s(approx (/ (- x y) 2) (*.f64 #s(literal -1/2 binary64) y)))))
(if (<=.f64 y #s(literal -2184094498327211/1180591620717411303424 binary64)) (+.f64 x #s(approx (/ (- x y) 2) (.f64 y #s(literal -1/2 binary64)))) (if (<=.f64 y #s(literal 2504478220538107/21778071482940061661655974875633165533184 binary64)) #s(approx (+ x (/ (- x y) 2)) (.f64 x #s(literal 3/2 binary64))) (+.f64 x #s(approx (/ (- x y) 2) (*.f64 y #s(literal -1/2 binary64))))))
(if (<=.f64 y #s(literal -3984496719921263/295147905179352825856 binary64)) #s(approx (+ x (/ (- x y) 2)) (.f64 #s(literal -1/2 binary64) y)) (if (<=.f64 y #s(literal 880000000000 binary64)) #s(approx (+ x (/ (- x y) 2)) (.f64 x #s(literal 3/2 binary64))) #s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal -1/2 binary64) y))))
(if (<=.f64 y #s(literal -3984496719921263/295147905179352825856 binary64)) #s(approx (+ x (/ (- x y) 2)) (.f64 y #s(literal -1/2 binary64))) (if (<=.f64 y #s(literal 880000000000 binary64)) #s(approx (+ x (/ (- x y) 2)) (.f64 x #s(literal 3/2 binary64))) #s(approx (+ x (/ (- x y) 2)) (*.f64 y #s(literal -1/2 binary64)))))
#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal -1/2 binary64) y))
#s(approx (+ x (/ (- x y) 2)) (*.f64 y #s(literal -1/2 binary64)))

soundness699.0ms (13.7%)

Memory

-8.5MiB live, 419.6MiB allocated

Rules

10 544×	`lower-fma.f64`
10 544×	`lower-fma.f32`
7 504×	`lower-fma.f64`
7 504×	`lower-fma.f32`
4 050×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
0	9	15
1	48	15
2	400	15
3	5080	15
0	8183	14
0	58	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	365	2821
1	1149	2709
2	3264	2601
0	8242	2376

Stop Event

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

Compiler

Compiled 129 to 68 computations (47.3% saved)

preprocess61.0ms (1.2%)

Memory: 7.6MiB live, 131.0MiB allocated
Compiler: Compiled 162 to 70 computations (56.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

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

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

Iter	Nodes	Cost
0	16	59
0	22	65
1	36	65
2	52	53
3	75	53
4	100	53
5	139	53
6	221	53
7	338	53
8	449	53
9	527	53
10	534	53
11	536	53
0	536	53

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

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

Iter	Nodes	Cost
0	16	59
0	22	65
1	36	65
2	52	53
3	75	53
4	100	53
5	139	53
6	221	53
7	338	53
8	449	53
9	527	53
10	534	53
11	536	53
0	536	53

start0.0ms (0%)

analyze0.0ms (0%)

sample828.0ms (16.3%)

explain103.0ms (2%)

preprocess91.0ms (1.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify24.0ms (0.5%)

localize30.0ms (0.6%)

series4.0ms (0.1%)

simplify202.0ms (4%)

rewrite335.0ms (6.6%)

eval54.0ms (1.1%)

prune68.0ms (1.3%)

simplify228.0ms (4.5%)

localize152.0ms (3%)

series66.0ms (1.3%)

simplify438.0ms (8.6%)

rewrite334.0ms (6.6%)

eval295.0ms (5.8%)

prune217.0ms (4.3%)

simplify45.0ms (0.9%)

localize47.0ms (0.9%)

series6.0ms (0.1%)

simplify193.0ms (3.8%)

rewrite313.0ms (6.2%)

eval55.0ms (1.1%)

prune62.0ms (1.2%)

regimes32.0ms (0.6%)

regimes8.0ms (0.2%)

regimes7.0ms (0.1%)

regimes4.0ms (0.1%)

regimes33.0ms (0.6%)

bsearch23.0ms (0.5%)

bsearch23.0ms (0.4%)

simplify8.0ms (0.2%)

soundness699.0ms (13.7%)

preprocess61.0ms (1.2%)

end0.0ms (0%)

Profiling

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

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

Iter	Nodes	Cost
0	16	59
0	22	65
1	36	65
2	52	53
3	75	53
4	100	53
5	139	53
6	221	53
7	338	53
8	449	53
9	527	53
10	534	53
11	536	53
0	536	53