Metrics for Graphics.Rendering.Chart.Plot.AreaSpots:renderSpotLegend from Chart-1.5.3

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 10 to 9 computations (10% saved)

sample959.0ms (16.5%)

Memory

31.7MiB live, 980.2MiB allocated

Samples

590.0ms	7 940×	0	valid
33.0ms	113×	2	valid
30.0ms	75×	3	valid
11.0ms	128×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 302.0ms

ival-div: 94.0ms (31.1% of total)

ival-sub: 80.0ms (26.5% of total)

ival-add: 56.0ms (18.5% of total)

ival-fabs: 49.0ms (16.2% of total)

adjust: 9.0ms (3% of total)

ival-true: 6.0ms (2% of total)

exact: 5.0ms (1.7% of total)

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

Bogosity

explain72.0ms (1.2%)

Memory

1.2MiB live, 162.3MiB allocated

FPErrors

Click to see full error table

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

26.0ms	492×	0	valid
3.0ms	10×	2	valid
1.0ms	8×	1	valid
0.0ms	2×	3	valid

Compiler

Compiled 60 to 25 computations (58.3% saved)

Precisions

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

ival-sub: 5.0ms (32.6% of total)

ival-div: 4.0ms (26.1% of total)

ival-fabs: 3.0ms (19.6% of total)

ival-add: 3.0ms (19.6% of total)

adjust: 1.0ms (6.5% of total)

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

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

exact: 0.0ms (0% of total)

preprocess38.0ms (0.6%)

Memory

13.1MiB live, 51.5MiB allocated

Algorithm

1×	egg-herbie

Rules

192×	`lower-fma.f64`
192×	`lower-fma.f32`
112×	`lower-*.f64`
112×	`lower-*.f32`
94×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	48
1	46	40
2	127	40
3	248	40
4	352	40
5	419	40
6	463	40
7	501	40
8	513	40
9	518	40
10	521	40
11	523	40
0	7	8
0	11	8
1	16	8
2	23	8
3	31	8
4	50	8
5	97	8
6	155	8
7	184	8
8	229	8
9	265	8
10	301	8
11	313	8
12	319	8
13	322	8
14	324	8
0	324	7

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 8 to 7 computations (12.5% saved)

eval0.0ms (0%)

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

prune6.0ms (0.1%)

Memory

-45.3MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 8 to 7 computations (12.5% saved)

simplify16.0ms (0.3%)

Memory

16.6MiB live, 16.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

192×	`lower-fma.f64`
192×	`lower-fma.f32`
112×	`lower-*.f64`
112×	`lower-*.f32`
64×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	24
0	11	24
1	16	24
2	23	24
3	31	24
4	50	24
5	97	24
6	155	24
7	184	24
8	229	24
9	265	24
10	301	24
11	313	24
12	319	24
13	322	24
14	324	24
0	324	23

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize23.0ms (0.4%)

Memory

-6.1MiB live, 32.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))
accuracy	0	(-.f64 y x)
accuracy	0	(fabs.f64 (-.f64 y x))
accuracy	0.04296875	(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))

Samples

16.0ms	246×	0	valid
1.0ms	5×	2	valid
0.0ms	4×	1	valid
0.0ms	1×	3	valid

Compiler

Compiled 26 to 9 computations (65.4% saved)

Precisions

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

ival-div: 2.0ms (29.7% of total)

ival-sub: 2.0ms (29.7% of total)

ival-fabs: 1.0ms (14.9% of total)

ival-add: 1.0ms (14.9% 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)

series5.0ms (0.1%)

Memory

11.7MiB live, 11.7MiB allocated

Counts

4 → 96

Calls

Call 1

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

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

6 calls:

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

simplify123.0ms (2.1%)

Memory

4.2MiB live, 122.9MiB allocated

Algorithm

1×	egg-herbie

Rules

3 132×	`lower-/.f32`
3 132×	`lower-/.f64`
2 520×	`lower-fma.f64`
2 520×	`lower-fma.f32`
2 222×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	479
1	115	479
2	264	479
3	775	479
4	2401	479
5	3216	479
6	4243	479
7	5084	479
8	5657	479
9	6145	479
10	7847	479
0	8326	458

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 91

Calls

Call 1

Inputs
(* 1/2 (fabs (- y x)))
(* 1/2 (fabs (- y x)))
(* 1/2 (fabs (- y x)))
(* 1/2 (fabs (- y x)))
(+ x (* 1/2 (fabs (- y x))))
(+ x (* 1/2 (fabs (- y x))))
(+ x (* 1/2 (fabs (- y x))))
(+ x (* 1/2 (fabs (- y x))))
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
(* -1 x)
(- y x)
(- y x)
(- y x)
(* 1/2 (fabs (- y x)))
(* 1/2 (fabs (- y x)))
(* 1/2 (fabs (- y x)))
(* 1/2 (fabs (- y x)))
(+ x (* 1/2 (fabs (- y x))))
(+ x (* 1/2 (fabs (- y x))))
(+ x (* 1/2 (fabs (- y x))))
(+ x (* 1/2 (fabs (- y x))))
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
y
(* y (+ 1 (* -1 (/ x y))))
(* y (+ 1 (* -1 (/ x y))))
(* y (+ 1 (* -1 (/ x y))))
(* 1/2 (fabs (neg (+ x (* -1 y)))))
(* 1/2 (fabs (neg (+ x (* -1 y)))))
(* 1/2 (fabs (neg (+ x (* -1 y)))))
(* 1/2 (fabs (neg (+ x (* -1 y)))))
(+ x (* 1/2 (fabs (neg (+ x (* -1 y))))))
(+ x (* 1/2 (fabs (neg (+ x (* -1 y))))))
(+ x (* 1/2 (fabs (neg (+ x (* -1 y))))))
(+ x (* 1/2 (fabs (neg (+ x (* -1 y))))))
(fabs (neg (+ x (* -1 y))))
(fabs (neg (+ x (* -1 y))))
(fabs (neg (+ x (* -1 y))))
(fabs (neg (+ x (* -1 y))))
y
(* -1 (* y (- (/ x y) 1)))
(* -1 (* y (- (/ x y) 1)))
(* -1 (* y (- (/ x y) 1)))
(* 1/2 (fabs (- y x)))
(* 1/2 (fabs (- y x)))
(* 1/2 (fabs (- y x)))
(* 1/2 (fabs (- y x)))
(* 1/2 (fabs (- y x)))
(+ x (* 1/2 (fabs (- y x))))
(+ x (* 1/2 (fabs (- y x))))
(+ x (* 1/2 (fabs (- y x))))
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
y
(+ y (* -1 x))
(+ y (* -1 x))
(+ y (* -1 x))
(* 1/2 (fabs (- y x)))
(* 1/2 (fabs (- y x)))
(* 1/2 (fabs (- y x)))
(* 1/2 (fabs (- y x)))
x
(* x (+ 1 (* 1/2 (/ (fabs (- y x)) x))))
(* x (+ 1 (* 1/2 (/ (fabs (- y x)) x))))
(* x (+ 1 (* 1/2 (/ (fabs (- y x)) x))))
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
(* -1 x)
(* x (- (/ y x) 1))
(* x (- (/ y x) 1))
(* x (- (/ y x) 1))
(* 1/2 (fabs (+ y (* -1 x))))
(* 1/2 (fabs (+ y (* -1 x))))
(* 1/2 (fabs (+ y (* -1 x))))
(* 1/2 (fabs (+ y (* -1 x))))
x
(* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1)))
(* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1)))
(* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1)))
(fabs (+ y (* -1 x)))
(fabs (+ y (* -1 x)))
(fabs (+ y (* -1 x)))
(fabs (+ y (* -1 x)))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))

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

rewrite146.0ms (2.5%)

Memory

19.7MiB live, 247.9MiB allocated

Rules

4 906×	`lower-fma.f64`
4 906×	`lower-fma.f32`
4 404×	`lower-*.f64`
4 404×	`lower-*.f32`
2 206×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	21
0	11	21
1	51	21
2	380	21
3	5345	21
0	8350	20

Stop Event

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

Counts

4 → 239

Calls

Call 1

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

Outputs
(.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (fabs.f64 (fma.f64 (neg.f64 x) x (.f64 y y)))) #s(literal -1 binary64)) (pow.f64 (fabs.f64 (+.f64 x y)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) #s(literal -1 binary64)) (pow.f64 (fabs.f64 (fma.f64 (+.f64 x y) x (.f64 y y))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (neg.f64 (fabs.f64 (-.f64 x y))) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64))
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(.f64 (fma.f64 (+.f64 x y) x (.f64 y y)) (/.f64 (-.f64 y x) (fma.f64 (+.f64 x y) x (*.f64 y y))))
(.f64 (fma.f64 (+.f64 x y) x (.f64 y y)) (.f64 (-.f64 y x) (pow.f64 (fma.f64 (+.f64 x y) x (.f64 y y)) #s(literal -1 binary64))))
(.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (+.f64 x y) x (.f64 y y)) #s(literal -1 binary64)))
(pow.f64 (/.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (+.f64 x y) #s(literal -1 binary64))) (fma.f64 x x (.f64 y y)))
(/.f64 (.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (+.f64 x y) #s(literal -1 binary64))) (fma.f64 (.f64 x x) (fma.f64 x x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (fma.f64 (+.f64 x y) x (.f64 y y)) #s(literal -1 binary64))) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (pow.f64 (fma.f64 (+.f64 x y) x (.f64 y y)) #s(literal -1 binary64))) (+.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (*.f64 x y) #s(literal 3 binary64))))
(/.f64 (-.f64 (pow.f64 (.f64 y (/.f64 y (+.f64 x y))) #s(literal 2 binary64)) (pow.f64 (.f64 x (/.f64 x (+.f64 x y))) #s(literal 2 binary64))) (fma.f64 y (/.f64 y (+.f64 x y)) (*.f64 x (/.f64 x (+.f64 x y)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 x y) x (.f64 y y))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 x y) x (.f64 y y))) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 x y) x (.f64 y y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 x y) x (.f64 y y)))))
(/.f64 (-.f64 (pow.f64 (.f64 y (/.f64 y (+.f64 x y))) #s(literal 3 binary64)) (pow.f64 (.f64 x (/.f64 x (+.f64 x y))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 y (/.f64 y (+.f64 x y))) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 x (/.f64 x (+.f64 x y))) #s(literal 2 binary64)) (.f64 (.f64 y (/.f64 y (+.f64 x y))) (*.f64 x (/.f64 x (+.f64 x y)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 x y) x (.f64 y y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 x y) x (.f64 y y))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 x y) x (.f64 y y))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 x y) x (.f64 y y))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 x y) x (.f64 y y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 x y) x (*.f64 y y)))))))
(/.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 x y))) (neg.f64 (neg.f64 (+.f64 x y))))
(/.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 x y))) (+.f64 x y))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (+.f64 x y) x (*.f64 y y)))
(/.f64 (.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (+.f64 x y) x (.f64 y y)))
(/.f64 (.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) #s(literal 1 binary64)) (+.f64 x y))
(/.f64 (.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 x x (*.f64 y y)) (+.f64 x y)))
(/.f64 (.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 x x) (fma.f64 x x (.f64 y y)) (pow.f64 y #s(literal 4 binary64))) (+.f64 x y)))
(/.f64 (.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 x y) x (*.f64 y y))))
(/.f64 (.f64 (-.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (.f64 x y) #s(literal 3 binary64))) (fma.f64 (+.f64 x y) x (.f64 y y))))
(/.f64 (-.f64 (.f64 (.f64 y y) (+.f64 x y)) (.f64 (+.f64 x y) (.f64 x x))) (pow.f64 (+.f64 x y) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 x y) x (.f64 y y))) (.f64 (fma.f64 (+.f64 x y) x (.f64 y y)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (.f64 (+.f64 x y) (fma.f64 x x (.f64 y y))))
(/.f64 (-.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (.f64 (fma.f64 (+.f64 x y) x (.f64 y y)) (+.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (.f64 (+.f64 x y) (fma.f64 (.f64 x x) (fma.f64 x x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (.f64 (fma.f64 (+.f64 x y) x (.f64 y y)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (-.f64 (neg.f64 x) y))
(/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (neg.f64 (+.f64 x y)))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (fma.f64 (+.f64 x y) x (*.f64 y y))))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64))))
(/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (neg.f64 (neg.f64 (+.f64 x y))))
(/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (+.f64 x y))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 y x) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 y y) (.f64 (neg.f64 x) y))))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (neg.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 x y) x (*.f64 y y)))
(neg.f64 (-.f64 x y))
(fma.f64 (/.f64 (.f64 y y) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (-.f64 x y) (.f64 y y)) (neg.f64 (*.f64 x (/.f64 x (+.f64 x y)))))
(fma.f64 (/.f64 (.f64 y y) (fma.f64 (neg.f64 x) x (.f64 y y))) (-.f64 y x) (neg.f64 (*.f64 x (/.f64 x (+.f64 x y)))))
(fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 (+.f64 x y) x) #s(literal 2 binary64)))) (-.f64 (.f64 y y) (.f64 (+.f64 x y) x)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 x y) x (.f64 y y)))))
(fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (+.f64 x y) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (.f64 (+.f64 x y) x) (-.f64 (.f64 (+.f64 x y) x) (.f64 y y)) (pow.f64 y #s(literal 4 binary64))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 x y) x (*.f64 y y)))))
(fma.f64 (pow.f64 y #s(literal 3/2 binary64)) (/.f64 (pow.f64 y #s(literal 3/2 binary64)) (fma.f64 (+.f64 x y) x (.f64 y y))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 x y) x (.f64 y y)))))
(fma.f64 #s(literal -1 binary64) x (neg.f64 (neg.f64 y)))
(fma.f64 #s(literal -1 binary64) x y)
(fma.f64 (.f64 y y) (/.f64 y (fma.f64 (+.f64 x y) x (.f64 y y))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 x y) x (*.f64 y y)))))
(fma.f64 (.f64 y y) (pow.f64 (+.f64 x y) #s(literal -1 binary64)) (neg.f64 (.f64 x (/.f64 x (+.f64 x y)))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (fma.f64 (+.f64 x y) x (.f64 y y)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 x y) x (.f64 y y)))))
(fma.f64 x #s(literal -1 binary64) (neg.f64 (neg.f64 y)))
(fma.f64 x #s(literal -1 binary64) y)
(fma.f64 y (/.f64 y (+.f64 x y)) (neg.f64 (*.f64 x (/.f64 x (+.f64 x y)))))
(fma.f64 y (/.f64 (.f64 y y) (fma.f64 (+.f64 x y) x (.f64 y y))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 x y) x (*.f64 y y)))))
(-.f64 (+.f64 y #s(literal 0 binary64)) x)
(-.f64 (.f64 y (/.f64 y (+.f64 x y))) (.f64 x (/.f64 x (+.f64 x y))))
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 x y) x (.f64 y y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 x y) x (.f64 y y))))
(-.f64 #s(literal 0 binary64) (-.f64 x y))
(-.f64 y x)
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (neg.f64 (neg.f64 y)) (neg.f64 x))
(+.f64 (.f64 y (/.f64 y (+.f64 x y))) (neg.f64 (.f64 x (/.f64 x (+.f64 x y)))))
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 x y) x (.f64 y y))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 x y) x (.f64 y y)))))
(+.f64 (neg.f64 x) (neg.f64 (neg.f64 y)))
(+.f64 (neg.f64 x) y)
(+.f64 y (neg.f64 x))

eval41.0ms (0.7%)

Memory: -19.8MiB live, 103.0MiB allocated
Compiler: Compiled 6 166 to 927 computations (85% saved)

prune53.0ms (0.9%)

Memory

-1.1MiB live, 38.5MiB allocated

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	323	7	330
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	324	7	331

Accuracy

100.0%

Counts

331 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
	55.7%	(/.f64 (fma.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal -1/4 binary64) (*.f64 x x)) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x))
▶	99.7%	(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x) #s(literal -1 binary64)))
▶	57.2%	(+.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (+.f64 x y)) (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y))))) #s(literal 2 binary64)))
	99.7%	(+.f64 x (/.f64 (fabs.f64 (.f64 (+.f64 x y) (.f64 (-.f64 y x) (pow.f64 (+.f64 x y) #s(literal -1 binary64))))) #s(literal 2 binary64)))
▶	99.7%	(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y)))))
▶	52.9%	#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)))

Compiler

Compiled 180 to 140 computations (22.2% saved)

simplify164.0ms (2.8%)

Memory

6.9MiB live, 209.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(fabs.f64 (-.f64 x y))
cost-diff	0	(fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x)
cost-diff	0	(pow.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x) #s(literal -1 binary64))
cost-diff	7168	(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x) #s(literal -1 binary64)))
cost-diff	128	(+.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (+.f64 x y)) (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y))))) #s(literal 2 binary64)))
cost-diff	384	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (+.f64 x y)) (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y))))) #s(literal 2 binary64))
cost-diff	960	(/.f64 (fabs.f64 (+.f64 x y)) (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y))))
cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (+.f64 x y)) (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)))))
cost-diff	0	(fabs.f64 (-.f64 x y))
cost-diff	0	(/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y)))
cost-diff	128	(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y)))))
cost-diff	1088	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y))))
cost-diff	0	(-.f64 y x)
cost-diff	0	(fabs.f64 (-.f64 y x))
cost-diff	0	(*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)))
cost-diff	0	(-.f64 x y)
cost-diff	0	(fabs.f64 (-.f64 x y))
cost-diff	0	(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)

Rules

5 824×	`lower-fma.f32`
5 818×	`lower-fma.f64`
3 012×	`lower-*.f32`
3 008×	`lower-*.f64`
2 908×	`lower-/.f32`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	33	217
0	58	174
1	83	174
2	106	174
3	158	174
4	271	174
5	493	166
6	942	166
7	1847	166
8	4106	166
9	6533	166
0	8464	166

Stop Event

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

Calls

Call 1

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

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

localize159.0ms (2.7%)

Memory

5.4MiB live, 244.3MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0	(fabs.f64 (-.f64 x y))
accuracy	0.04296875	(fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x)
accuracy	0.078125	(pow.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x) #s(literal -1 binary64))
accuracy	0.1953125	(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x) #s(literal -1 binary64)))
accuracy	0.04296875	(+.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (+.f64 x y)) (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y))))) #s(literal 2 binary64)))
accuracy	0.19921875	(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (+.f64 x y)) (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)))))
accuracy	1.2538924880278013	(fma.f64 (neg.f64 x) x (*.f64 y y))
accuracy	27.284191559785395	(/.f64 (fabs.f64 (+.f64 x y)) (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y))))
accuracy	0	(fabs.f64 (-.f64 x y))
accuracy	0.01953125	(/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y)))
accuracy	0.04296875	(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y)))))
accuracy	0.19921875	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y))))
accuracy	0	(-.f64 y x)
accuracy	0	(*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))
accuracy	0	(fabs.f64 (-.f64 y x))
accuracy	30.11257200217845	#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)))
accuracy	0	(-.f64 x y)
accuracy	0	(fabs.f64 (-.f64 x y))
accuracy	0.04296875	(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)

Samples

82.0ms	233×	0	valid
5.0ms	6×	3	valid
5.0ms	7×	2	valid
4.0ms	10×	1	valid

Compiler

Compiled 222 to 35 computations (84.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 72.0ms

ival-add: 36.0ms (50.1% of total)

ival-div: 12.0ms (16.7% of total)

ival-mult: 8.0ms (11.1% of total)

ival-fabs: 5.0ms (7% of total)

ival-pow: 4.0ms (5.6% of total)

adjust: 3.0ms (4.2% of total)

ival-sub: 3.0ms (4.2% of total)

exact: 1.0ms (1.4% of total)

ival-neg: 1.0ms (1.4% of total)

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

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

series54.0ms (0.9%)

Memory

-0.1MiB live, 77.7MiB allocated

Counts

18 → 432

Calls

Call 1

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

Outputs
#s(alt (+ x (* 1/2 (fabs (- x y)))) (taylor 0 y) (#s(alt (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) (patch (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/2 (fabs (- x y)))) (taylor 0 y) (#s(alt (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) (patch (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/2 (fabs (- x y)))) (taylor 0 y) (#s(alt (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) (patch (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/2 (fabs (- x y)))) (taylor 0 y) (#s(alt (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) (patch (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (fabs (- x y)) (taylor 0 y) (#s(alt (fabs.f64 (-.f64 x y)) (patch (fabs.f64 (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (fabs (- x y)) (taylor 0 y) (#s(alt (fabs.f64 (-.f64 x y)) (patch (fabs.f64 (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (fabs (- x y)) (taylor 0 y) (#s(alt (fabs.f64 (-.f64 x y)) (patch (fabs.f64 (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (fabs (- x y)) (taylor 0 y) (#s(alt (fabs.f64 (-.f64 x y)) (patch (fabs.f64 (-.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 (+ x (* 1/2 (fabs (- y x)))) (taylor 0 y) (#s(alt #s(approx (+ x (/ (fabs (- y x)) 2)) (.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))) (patch #s(approx (+ x (/ (fabs (- y x)) 2)) (.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/2 (fabs (- y x)))) (taylor 0 y) (#s(alt #s(approx (+ x (/ (fabs (- y x)) 2)) (.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))) (patch #s(approx (+ x (/ (fabs (- y x)) 2)) (.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/2 (fabs (- y x)))) (taylor 0 y) (#s(alt #s(approx (+ x (/ (fabs (- y x)) 2)) (.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))) (patch #s(approx (+ x (/ (fabs (- y x)) 2)) (.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/2 (fabs (- y x)))) (taylor 0 y) (#s(alt #s(approx (+ x (/ (fabs (- y x)) 2)) (.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))) (patch #s(approx (+ x (/ (fabs (- y x)) 2)) (.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- y x))) (taylor 0 y) (#s(alt (.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)) (patch (.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- y x))) (taylor 0 y) (#s(alt (.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)) (patch (.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- y x))) (taylor 0 y) (#s(alt (.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)) (patch (.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- y x))) (taylor 0 y) (#s(alt (.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)) (patch (.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (fabs (- y x)) (taylor 0 y) (#s(alt (fabs.f64 (-.f64 y x)) (patch (fabs.f64 (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (fabs (- y x)) (taylor 0 y) (#s(alt (fabs.f64 (-.f64 y x)) (patch (fabs.f64 (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (fabs (- y x)) (taylor 0 y) (#s(alt (fabs.f64 (-.f64 y x)) (patch (fabs.f64 (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (fabs (- y x)) (taylor 0 y) (#s(alt (fabs.f64 (-.f64 y x)) (patch (fabs.f64 (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (- y x) (taylor 0 y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (- y x) (taylor 0 y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (- y x) (taylor 0 y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- x y))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- x y))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- x y))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- x y))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/2 (fabs (- x y)))) (taylor 0 y) (#s(alt (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y))))) (patch (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y))))) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/2 (fabs (- x y)))) (taylor 0 y) (#s(alt (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y))))) (patch (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y))))) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/2 (fabs (- x y)))) (taylor 0 y) (#s(alt (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y))))) (patch (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y))))) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/2 (fabs (- x y)))) (taylor 0 y) (#s(alt (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y))))) (patch (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y))))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (fabs (- x y))) (taylor 0 y) (#s(alt (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y))) (patch (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (fabs (- x y))) (taylor 0 y) (#s(alt (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y))) (patch (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (fabs (- x y))) (taylor 0 y) (#s(alt (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y))) (patch (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (fabs (- x y))) (taylor 0 y) (#s(alt (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y))) (patch (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (/ (fabs (+ (* -1 (pow x 2)) (pow y 2))) (fabs (+ x y))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (+.f64 x y)) (fabs.f64 (fma.f64 (neg.f64 x) x (.f64 y y))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (+.f64 x y)) (fabs.f64 (fma.f64 (neg.f64 x) x (.f64 y y))))) #<representation binary64>) () ())) ())
#s(alt (/ (fabs (+ (* -1 (pow x 2)) (pow y 2))) (fabs (+ x y))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (+.f64 x y)) (fabs.f64 (fma.f64 (neg.f64 x) x (.f64 y y))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (+.f64 x y)) (fabs.f64 (fma.f64 (neg.f64 x) x (.f64 y y))))) #<representation binary64>) () ())) ())
#s(alt (/ (fabs (+ (* -1 (pow x 2)) (pow y 2))) (fabs (+ x y))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (+.f64 x y)) (fabs.f64 (fma.f64 (neg.f64 x) x (.f64 y y))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (+.f64 x y)) (fabs.f64 (fma.f64 (neg.f64 x) x (.f64 y y))))) #<representation binary64>) () ())) ())
#s(alt (/ (fabs (+ (* -1 (pow x 2)) (pow y 2))) (fabs (+ x y))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (+.f64 x y)) (fabs.f64 (fma.f64 (neg.f64 x) x (.f64 y y))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (+.f64 x y)) (fabs.f64 (fma.f64 (neg.f64 x) x (.f64 y y))))) #<representation binary64>) () ())) ())
#s(alt (/ (fabs (+ x y)) (fabs (+ (* -1 (pow x 2)) (pow y 2)))) (taylor 0 y) (#s(alt (/.f64 (fabs.f64 (+.f64 x y)) (fabs.f64 (fma.f64 (neg.f64 x) x (.f64 y y)))) (patch (/.f64 (fabs.f64 (+.f64 x y)) (fabs.f64 (fma.f64 (neg.f64 x) x (.f64 y y)))) #<representation binary64>) () ())) ())
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#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>) () ())) ())
#s(alt (* 1/2 (fabs (neg (+ y (* -1 x))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (neg (+ y (* -1 x))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (neg (+ y (* -1 x))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (neg (+ y (* -1 x))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y))))) (patch (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1))) (taylor -inf x) (#s(alt (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y))))) (patch (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1))) (taylor -inf x) (#s(alt (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y))))) (patch (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1))) (taylor -inf x) (#s(alt (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y))))) (patch (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y))))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (fabs (neg (+ y (* -1 x))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y))) (patch (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (fabs (neg (+ y (* -1 x))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y))) (patch (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (fabs (neg (+ y (* -1 x))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y))) (patch (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (fabs (neg (+ y (* -1 x))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y))) (patch (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (/ (fabs (- (pow y 2) (pow x 2))) (fabs (- y (* -1 x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (+.f64 x y)) (fabs.f64 (fma.f64 (neg.f64 x) x (.f64 y y))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (+.f64 x y)) (fabs.f64 (fma.f64 (neg.f64 x) x (.f64 y y))))) #<representation binary64>) () ())) ())
#s(alt (/ (fabs (- (pow y 2) (pow x 2))) (fabs (- y (* -1 x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (+.f64 x y)) (fabs.f64 (fma.f64 (neg.f64 x) x (.f64 y y))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (+.f64 x y)) (fabs.f64 (fma.f64 (neg.f64 x) x (.f64 y y))))) #<representation binary64>) () ())) ())
#s(alt (/ (fabs (- (pow y 2) (pow x 2))) (fabs (- y (* -1 x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (+.f64 x y)) (fabs.f64 (fma.f64 (neg.f64 x) x (.f64 y y))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (+.f64 x y)) (fabs.f64 (fma.f64 (neg.f64 x) x (.f64 y y))))) #<representation binary64>) () ())) ())
#s(alt (/ (fabs (- (pow y 2) (pow x 2))) (fabs (- y (* -1 x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (+.f64 x y)) (fabs.f64 (fma.f64 (neg.f64 x) x (.f64 y y))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (+.f64 x y)) (fabs.f64 (fma.f64 (neg.f64 x) x (.f64 y y))))) #<representation binary64>) () ())) ())
#s(alt (/ (fabs (- y (* -1 x))) (fabs (- (pow y 2) (pow x 2)))) (taylor -inf x) (#s(alt (/.f64 (fabs.f64 (+.f64 x y)) (fabs.f64 (fma.f64 (neg.f64 x) x (.f64 y y)))) (patch (/.f64 (fabs.f64 (+.f64 x y)) (fabs.f64 (fma.f64 (neg.f64 x) x (.f64 y y)))) #<representation binary64>) () ())) ())
#s(alt (/ (fabs (- y (* -1 x))) (fabs (- (pow y 2) (pow x 2)))) (taylor -inf x) (#s(alt (/.f64 (fabs.f64 (+.f64 x y)) (fabs.f64 (fma.f64 (neg.f64 x) x (.f64 y y)))) (patch (/.f64 (fabs.f64 (+.f64 x y)) (fabs.f64 (fma.f64 (neg.f64 x) x (.f64 y y)))) #<representation binary64>) () ())) ())
#s(alt (/ (fabs (- y (* -1 x))) (fabs (- (pow y 2) (pow x 2)))) (taylor -inf x) (#s(alt (/.f64 (fabs.f64 (+.f64 x y)) (fabs.f64 (fma.f64 (neg.f64 x) x (.f64 y y)))) (patch (/.f64 (fabs.f64 (+.f64 x y)) (fabs.f64 (fma.f64 (neg.f64 x) x (.f64 y y)))) #<representation binary64>) () ())) ())
#s(alt (/ (fabs (- y (* -1 x))) (fabs (- (pow y 2) (pow x 2)))) (taylor -inf x) (#s(alt (/.f64 (fabs.f64 (+.f64 x y)) (fabs.f64 (fma.f64 (neg.f64 x) x (.f64 y y)))) (patch (/.f64 (fabs.f64 (+.f64 x y)) (fabs.f64 (fma.f64 (neg.f64 x) x (.f64 y y)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (fabs (- (pow y 2) (pow x 2))) (fabs (- y (* -1 x))))) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (+.f64 x y)) (fabs.f64 (fma.f64 (neg.f64 x) x (.f64 y y))))) #s(literal 2 binary64)) (patch (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (+.f64 x y)) (fabs.f64 (fma.f64 (neg.f64 x) x (.f64 y y))))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (fabs (- (pow y 2) (pow x 2))) (fabs (- y (* -1 x))))) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (+.f64 x y)) (fabs.f64 (fma.f64 (neg.f64 x) x (.f64 y y))))) #s(literal 2 binary64)) (patch (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (+.f64 x y)) (fabs.f64 (fma.f64 (neg.f64 x) x (.f64 y y))))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (fabs (- (pow y 2) (pow x 2))) (fabs (- y (* -1 x))))) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (+.f64 x y)) (fabs.f64 (fma.f64 (neg.f64 x) x (.f64 y y))))) #s(literal 2 binary64)) (patch (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (+.f64 x y)) (fabs.f64 (fma.f64 (neg.f64 x) x (.f64 y y))))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (fabs (- (pow y 2) (pow x 2))) (fabs (- y (* -1 x))))) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (+.f64 x y)) (fabs.f64 (fma.f64 (neg.f64 x) x (.f64 y y))))) #s(literal 2 binary64)) (patch (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (+.f64 x y)) (fabs.f64 (fma.f64 (neg.f64 x) x (.f64 y y))))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (+.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (+.f64 x y)) (fabs.f64 (fma.f64 (neg.f64 x) x (.f64 y y))))) #s(literal 2 binary64))) (patch (+.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (+.f64 x y)) (fabs.f64 (fma.f64 (neg.f64 x) x (.f64 y y))))) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/2 (/ (fabs (- (pow y 2) (pow x 2))) (* x (fabs (- y (* -1 x)))))) 1))) (taylor -inf x) (#s(alt (+.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (+.f64 x y)) (fabs.f64 (fma.f64 (neg.f64 x) x (.f64 y y))))) #s(literal 2 binary64))) (patch (+.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (+.f64 x y)) (fabs.f64 (fma.f64 (neg.f64 x) x (.f64 y y))))) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/2 (/ (fabs (- (pow y 2) (pow x 2))) (* x (fabs (- y (* -1 x)))))) 1))) (taylor -inf x) (#s(alt (+.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (+.f64 x y)) (fabs.f64 (fma.f64 (neg.f64 x) x (.f64 y y))))) #s(literal 2 binary64))) (patch (+.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (+.f64 x y)) (fabs.f64 (fma.f64 (neg.f64 x) x (.f64 y y))))) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/2 (/ (fabs (- (pow y 2) (pow x 2))) (* x (fabs (- y (* -1 x)))))) 1))) (taylor -inf x) (#s(alt (+.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (+.f64 x y)) (fabs.f64 (fma.f64 (neg.f64 x) x (.f64 y y))))) #s(literal 2 binary64))) (patch (+.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (+.f64 x y)) (fabs.f64 (fma.f64 (neg.f64 x) x (.f64 y y))))) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x) #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x) #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x) #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x) #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* 1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1) x)) (taylor -inf x) (#s(alt (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ (pow (fabs (neg (+ y (* -1 x)))) 2) x)) (* 1/2 (fabs (neg (+ y (* -1 x)))))) x)) 1) x)) (taylor -inf x) (#s(alt (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (pow (fabs (neg (+ y (* -1 x)))) 3) x)) (* 1/4 (pow (fabs (neg (+ y (* -1 x)))) 2))) x)) (* 1/2 (fabs (neg (+ y (* -1 x)))))) x)) 1) x)) (taylor -inf x) (#s(alt (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x) (patch (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x) (patch (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x) (patch (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x) (patch (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 (neg.f64 x) x (.f64 y y)) (patch (fma.f64 (neg.f64 x) x (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (/ (pow y 2) (pow x 2)) 1)) (taylor -inf x) (#s(alt (fma.f64 (neg.f64 x) x (.f64 y y)) (patch (fma.f64 (neg.f64 x) x (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (/ (pow y 2) (pow x 2)) 1)) (taylor -inf x) (#s(alt (fma.f64 (neg.f64 x) x (.f64 y y)) (patch (fma.f64 (neg.f64 x) x (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (/ (pow y 2) (pow x 2)) 1)) (taylor -inf x) (#s(alt (fma.f64 (neg.f64 x) x (.f64 y y)) (patch (fma.f64 (neg.f64 x) x (.f64 y y)) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	y	@	inf	((+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (+ x (/ (fabs (- y x)) 2)) (* (fabs (- y x)) 1/2) (fabs (- y x)) (- y x) (/ 1 (/ 2 (fabs (- x y)))) (+ x (/ 1 (/ 2 (fabs (- x y))))) (/ 2 (fabs (- x y))) (/ 1 (/ (fabs (+ x y)) (fabs (+ (* (neg x) x) (* y y))))) (/ (fabs (+ x y)) (fabs (+ (* (neg x) x) (* y y)))) (/ (/ 1 (/ (fabs (+ x y)) (fabs (+ (* (neg x) x) (* y y))))) 2) (+ x (/ (/ 1 (/ (fabs (+ x y)) (fabs (+ (* (neg x) x) (* y y))))) 2)) (/ 1 (pow (+ (* 1/2 (fabs (- x y))) x) -1)) (pow (+ (* 1/2 (fabs (- x y))) x) -1) (+ (* 1/2 (fabs (- x y))) x) (+ (* (neg x) x) (* y y)))
5.0ms	y	@	-inf	((+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (+ x (/ (fabs (- y x)) 2)) (* (fabs (- y x)) 1/2) (fabs (- y x)) (- y x) (/ 1 (/ 2 (fabs (- x y)))) (+ x (/ 1 (/ 2 (fabs (- x y))))) (/ 2 (fabs (- x y))) (/ 1 (/ (fabs (+ x y)) (fabs (+ (* (neg x) x) (* y y))))) (/ (fabs (+ x y)) (fabs (+ (* (neg x) x) (* y y)))) (/ (/ 1 (/ (fabs (+ x y)) (fabs (+ (* (neg x) x) (* y y))))) 2) (+ x (/ (/ 1 (/ (fabs (+ x y)) (fabs (+ (* (neg x) x) (* y y))))) 2)) (/ 1 (pow (+ (* 1/2 (fabs (- x y))) x) -1)) (pow (+ (* 1/2 (fabs (- x y))) x) -1) (+ (* 1/2 (fabs (- x y))) x) (+ (* (neg x) x) (* y y)))
4.0ms	y	@	0	((+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (+ x (/ (fabs (- y x)) 2)) (* (fabs (- y x)) 1/2) (fabs (- y x)) (- y x) (/ 1 (/ 2 (fabs (- x y)))) (+ x (/ 1 (/ 2 (fabs (- x y))))) (/ 2 (fabs (- x y))) (/ 1 (/ (fabs (+ x y)) (fabs (+ (* (neg x) x) (* y y))))) (/ (fabs (+ x y)) (fabs (+ (* (neg x) x) (* y y)))) (/ (/ 1 (/ (fabs (+ x y)) (fabs (+ (* (neg x) x) (* y y))))) 2) (+ x (/ (/ 1 (/ (fabs (+ x y)) (fabs (+ (* (neg x) x) (* y y))))) 2)) (/ 1 (pow (+ (* 1/2 (fabs (- x y))) x) -1)) (pow (+ (* 1/2 (fabs (- x y))) x) -1) (+ (* 1/2 (fabs (- x y))) x) (+ (* (neg x) x) (* y y)))
3.0ms	x	@	-inf	((+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (+ x (/ (fabs (- y x)) 2)) (* (fabs (- y x)) 1/2) (fabs (- y x)) (- y x) (/ 1 (/ 2 (fabs (- x y)))) (+ x (/ 1 (/ 2 (fabs (- x y))))) (/ 2 (fabs (- x y))) (/ 1 (/ (fabs (+ x y)) (fabs (+ (* (neg x) x) (* y y))))) (/ (fabs (+ x y)) (fabs (+ (* (neg x) x) (* y y)))) (/ (/ 1 (/ (fabs (+ x y)) (fabs (+ (* (neg x) x) (* y y))))) 2) (+ x (/ (/ 1 (/ (fabs (+ x y)) (fabs (+ (* (neg x) x) (* y y))))) 2)) (/ 1 (pow (+ (* 1/2 (fabs (- x y))) x) -1)) (pow (+ (* 1/2 (fabs (- x y))) x) -1) (+ (* 1/2 (fabs (- x y))) x) (+ (* (neg x) x) (* y y)))
3.0ms	x	@	inf	((+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (+ x (/ (fabs (- y x)) 2)) (* (fabs (- y x)) 1/2) (fabs (- y x)) (- y x) (/ 1 (/ 2 (fabs (- x y)))) (+ x (/ 1 (/ 2 (fabs (- x y))))) (/ 2 (fabs (- x y))) (/ 1 (/ (fabs (+ x y)) (fabs (+ (* (neg x) x) (* y y))))) (/ (fabs (+ x y)) (fabs (+ (* (neg x) x) (* y y)))) (/ (/ 1 (/ (fabs (+ x y)) (fabs (+ (* (neg x) x) (* y y))))) 2) (+ x (/ (/ 1 (/ (fabs (+ x y)) (fabs (+ (* (neg x) x) (* y y))))) 2)) (/ 1 (pow (+ (* 1/2 (fabs (- x y))) x) -1)) (pow (+ (* 1/2 (fabs (- x y))) x) -1) (+ (* 1/2 (fabs (- x y))) x) (+ (* (neg x) x) (* y y)))

simplify161.0ms (2.8%)

Memory

12.0MiB live, 254.3MiB allocated

Algorithm

1×	egg-herbie

Rules

6 784×	`lower-fma.f64`
6 784×	`lower-fma.f32`
4 508×	`lower-*.f64`
4 508×	`lower-*.f32`
2 158×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	191	3525
1	508	3521
2	1176	3513
3	4817	3501
0	8531	3349

Stop Event

1×	iter limit
1×	node limit

Counts

432 → 414

Calls

Call 1

Inputs
(+ x (* 1/2 (fabs (- x y))))
(+ x (* 1/2 (fabs (- x y))))
(+ x (* 1/2 (fabs (- x y))))
(+ x (* 1/2 (fabs (- x y))))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
x
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* 1/2 (fabs (- y x))))
(+ x (* 1/2 (fabs (- y x))))
(+ x (* 1/2 (fabs (- y x))))
(+ x (* 1/2 (fabs (- y x))))
(* 1/2 (fabs (- y x)))
(* 1/2 (fabs (- y x)))
(* 1/2 (fabs (- y x)))
(* 1/2 (fabs (- y x)))
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
(* -1 x)
(- y x)
(- y x)
(- y x)
(* 1/2 (fabs (- x y)))
(* 1/2 (fabs (- x y)))
(* 1/2 (fabs (- x y)))
(* 1/2 (fabs (- x y)))
(+ x (* 1/2 (fabs (- x y))))
(+ x (* 1/2 (fabs (- x y))))
(+ x (* 1/2 (fabs (- x y))))
(+ x (* 1/2 (fabs (- x y))))
(/ 2 (fabs (- x y)))
(/ 2 (fabs (- x y)))
(/ 2 (fabs (- x y)))
(/ 2 (fabs (- x y)))
(/ (fabs (+ (* -1 (pow x 2)) (pow y 2))) (fabs (+ x y)))
(/ (fabs (+ (* -1 (pow x 2)) (pow y 2))) (fabs (+ x y)))
(/ (fabs (+ (* -1 (pow x 2)) (pow y 2))) (fabs (+ x y)))
(/ (fabs (+ (* -1 (pow x 2)) (pow y 2))) (fabs (+ x y)))
(/ (fabs (+ x y)) (fabs (+ (* -1 (pow x 2)) (pow y 2))))
(/ (fabs (+ x y)) (fabs (+ (* -1 (pow x 2)) (pow y 2))))
(/ (fabs (+ x y)) (fabs (+ (* -1 (pow x 2)) (pow y 2))))
(/ (fabs (+ x y)) (fabs (+ (* -1 (pow x 2)) (pow y 2))))
(* 1/2 (/ (fabs (+ (* -1 (pow x 2)) (pow y 2))) (fabs (+ x y))))
(* 1/2 (/ (fabs (+ (* -1 (pow x 2)) (pow y 2))) (fabs (+ x y))))
(* 1/2 (/ (fabs (+ (* -1 (pow x 2)) (pow y 2))) (fabs (+ x y))))
(* 1/2 (/ (fabs (+ (* -1 (pow x 2)) (pow y 2))) (fabs (+ x y))))
(+ x (* 1/2 (/ (fabs (+ (* -1 (pow x 2)) (pow y 2))) (fabs (+ x y)))))
(+ x (* 1/2 (/ (fabs (+ (* -1 (pow x 2)) (pow y 2))) (fabs (+ x y)))))
(+ x (* 1/2 (/ (fabs (+ (* -1 (pow x 2)) (pow y 2))) (fabs (+ x y)))))
(+ x (* 1/2 (/ (fabs (+ (* -1 (pow x 2)) (pow y 2))) (fabs (+ x y)))))
(+ x (* 1/2 (fabs (- x y))))
(+ x (* 1/2 (fabs (- x y))))
(+ x (* 1/2 (fabs (- x y))))
(+ x (* 1/2 (fabs (- x y))))
(/ 1 (+ x (* 1/2 (fabs (- x y)))))
(/ 1 (+ x (* 1/2 (fabs (- x y)))))
(/ 1 (+ x (* 1/2 (fabs (- x y)))))
(/ 1 (+ x (* 1/2 (fabs (- x y)))))
(+ x (* 1/2 (fabs (- x y))))
(+ x (* 1/2 (fabs (- x y))))
(+ x (* 1/2 (fabs (- x y))))
(+ x (* 1/2 (fabs (- x y))))
(* -1 (pow x 2))
(+ (* -1 (pow x 2)) (pow y 2))
(+ (* -1 (pow x 2)) (pow y 2))
(+ (* -1 (pow x 2)) (pow y 2))
(+ x (* 1/2 (fabs (- x y))))
(+ x (* 1/2 (fabs (- x y))))
(+ x (* 1/2 (fabs (- x y))))
(+ x (* 1/2 (fabs (- x y))))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
(* -1 y)
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(+ x (* 1/2 (fabs (- y x))))
(+ x (* 1/2 (fabs (- y x))))
(+ x (* 1/2 (fabs (- y x))))
(+ x (* 1/2 (fabs (- y x))))
(* 1/2 (fabs (- y x)))
(* 1/2 (fabs (- y x)))
(* 1/2 (fabs (- y x)))
(* 1/2 (fabs (- y x)))
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
y
(* y (+ 1 (* -1 (/ x y))))
(* y (+ 1 (* -1 (/ x y))))
(* y (+ 1 (* -1 (/ x y))))
(* 1/2 (fabs (- x y)))
(* 1/2 (fabs (- x y)))
(* 1/2 (fabs (- x y)))
(* 1/2 (fabs (- x y)))
(+ x (* 1/2 (fabs (- x y))))
(+ x (* 1/2 (fabs (- x y))))
(+ x (* 1/2 (fabs (- x y))))
(+ x (* 1/2 (fabs (- x y))))
(/ 2 (fabs (- x y)))
(/ 2 (fabs (- x y)))
(/ 2 (fabs (- x y)))
(/ 2 (fabs (- x y)))
(/ (fabs (+ (* -1 (pow x 2)) (pow y 2))) (fabs (+ x y)))
(/ (fabs (+ (* -1 (pow x 2)) (pow y 2))) (fabs (+ x y)))
(/ (fabs (+ (* -1 (pow x 2)) (pow y 2))) (fabs (+ x y)))
(/ (fabs (+ (* -1 (pow x 2)) (pow y 2))) (fabs (+ x y)))
(/ (fabs (+ x y)) (fabs (+ (* -1 (pow x 2)) (pow y 2))))
(/ (fabs (+ x y)) (fabs (+ (* -1 (pow x 2)) (pow y 2))))
(/ (fabs (+ x y)) (fabs (+ (* -1 (pow x 2)) (pow y 2))))
(/ (fabs (+ x y)) (fabs (+ (* -1 (pow x 2)) (pow y 2))))
(* 1/2 (/ (fabs (+ (* -1 (pow x 2)) (pow y 2))) (fabs (+ x y))))
(* 1/2 (/ (fabs (+ (* -1 (pow x 2)) (pow y 2))) (fabs (+ x y))))
(* 1/2 (/ (fabs (+ (* -1 (pow x 2)) (pow y 2))) (fabs (+ x y))))
(* 1/2 (/ (fabs (+ (* -1 (pow x 2)) (pow y 2))) (fabs (+ x y))))
(+ x (* 1/2 (/ (fabs (+ (* -1 (pow x 2)) (pow y 2))) (fabs (+ x y)))))
(+ x (* 1/2 (/ (fabs (+ (* -1 (pow x 2)) (pow y 2))) (fabs (+ x y)))))
(+ x (* 1/2 (/ (fabs (+ (* -1 (pow x 2)) (pow y 2))) (fabs (+ x y)))))
(+ x (* 1/2 (/ (fabs (+ (* -1 (pow x 2)) (pow y 2))) (fabs (+ x y)))))
(+ x (* 1/2 (fabs (- x y))))
(+ x (* 1/2 (fabs (- x y))))
(+ x (* 1/2 (fabs (- x y))))
(+ x (* 1/2 (fabs (- x y))))
(/ 1 (+ x (* 1/2 (fabs (- x y)))))
(/ 1 (+ x (* 1/2 (fabs (- x y)))))
(/ 1 (+ x (* 1/2 (fabs (- x y)))))
(/ 1 (+ x (* 1/2 (fabs (- x y)))))
(+ x (* 1/2 (fabs (- x y))))
(+ x (* 1/2 (fabs (- x y))))
(+ x (* 1/2 (fabs (- x y))))
(+ x (* 1/2 (fabs (- x y))))
(pow y 2)
(* (pow y 2) (+ 1 (* -1 (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (+ 1 (* -1 (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (+ 1 (* -1 (/ (pow x 2) (pow y 2)))))
(+ x (* 1/2 (fabs (+ x (* -1 y)))))
(+ x (* 1/2 (fabs (+ x (* -1 y)))))
(+ x (* 1/2 (fabs (+ x (* -1 y)))))
(+ x (* 1/2 (fabs (+ x (* -1 y)))))
(fabs (+ x (* -1 y)))
(fabs (+ x (* -1 y)))
(fabs (+ x (* -1 y)))
(fabs (+ x (* -1 y)))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(+ x (* 1/2 (fabs (neg (+ x (* -1 y))))))
(+ x (* 1/2 (fabs (neg (+ x (* -1 y))))))
(+ x (* 1/2 (fabs (neg (+ x (* -1 y))))))
(+ x (* 1/2 (fabs (neg (+ x (* -1 y))))))
(* 1/2 (fabs (neg (+ x (* -1 y)))))
(* 1/2 (fabs (neg (+ x (* -1 y)))))
(* 1/2 (fabs (neg (+ x (* -1 y)))))
(* 1/2 (fabs (neg (+ x (* -1 y)))))
(fabs (neg (+ x (* -1 y))))
(fabs (neg (+ x (* -1 y))))
(fabs (neg (+ x (* -1 y))))
(fabs (neg (+ x (* -1 y))))
y
(* -1 (* y (- (/ x y) 1)))
(* -1 (* y (- (/ x y) 1)))
(* -1 (* y (- (/ x y) 1)))
(* 1/2 (fabs (+ x (* -1 y))))
(* 1/2 (fabs (+ x (* -1 y))))
(* 1/2 (fabs (+ x (* -1 y))))
(* 1/2 (fabs (+ x (* -1 y))))
(+ x (* 1/2 (fabs (+ x (* -1 y)))))
(+ x (* 1/2 (fabs (+ x (* -1 y)))))
(+ x (* 1/2 (fabs (+ x (* -1 y)))))
(+ x (* 1/2 (fabs (+ x (* -1 y)))))
(/ 2 (fabs (+ x (* -1 y))))
(/ 2 (fabs (+ x (* -1 y))))
(/ 2 (fabs (+ x (* -1 y))))
(/ 2 (fabs (+ x (* -1 y))))
(/ (fabs (+ (* -1 (pow x 2)) (pow y 2))) (fabs (- x (* -1 y))))
(/ (fabs (+ (* -1 (pow x 2)) (pow y 2))) (fabs (- x (* -1 y))))
(/ (fabs (+ (* -1 (pow x 2)) (pow y 2))) (fabs (- x (* -1 y))))
(/ (fabs (+ (* -1 (pow x 2)) (pow y 2))) (fabs (- x (* -1 y))))
(/ (fabs (- x (* -1 y))) (fabs (+ (* -1 (pow x 2)) (pow y 2))))
(/ (fabs (- x (* -1 y))) (fabs (+ (* -1 (pow x 2)) (pow y 2))))
(/ (fabs (- x (* -1 y))) (fabs (+ (* -1 (pow x 2)) (pow y 2))))
(/ (fabs (- x (* -1 y))) (fabs (+ (* -1 (pow x 2)) (pow y 2))))
(* 1/2 (/ (fabs (+ (* -1 (pow x 2)) (pow y 2))) (fabs (- x (* -1 y)))))
(* 1/2 (/ (fabs (+ (* -1 (pow x 2)) (pow y 2))) (fabs (- x (* -1 y)))))
(* 1/2 (/ (fabs (+ (* -1 (pow x 2)) (pow y 2))) (fabs (- x (* -1 y)))))
(* 1/2 (/ (fabs (+ (* -1 (pow x 2)) (pow y 2))) (fabs (- x (* -1 y)))))
(+ x (* 1/2 (/ (fabs (+ (* -1 (pow x 2)) (pow y 2))) (fabs (- x (* -1 y))))))
(+ x (* 1/2 (/ (fabs (+ (* -1 (pow x 2)) (pow y 2))) (fabs (- x (* -1 y))))))
(+ x (* 1/2 (/ (fabs (+ (* -1 (pow x 2)) (pow y 2))) (fabs (- x (* -1 y))))))
(+ x (* 1/2 (/ (fabs (+ (* -1 (pow x 2)) (pow y 2))) (fabs (- x (* -1 y))))))
(+ x (* 1/2 (fabs (+ x (* -1 y)))))
(+ x (* 1/2 (fabs (+ x (* -1 y)))))
(+ x (* 1/2 (fabs (+ x (* -1 y)))))
(+ x (* 1/2 (fabs (+ x (* -1 y)))))
(/ 1 (+ x (* 1/2 (fabs (+ x (* -1 y))))))
(/ 1 (+ x (* 1/2 (fabs (+ x (* -1 y))))))
(/ 1 (+ x (* 1/2 (fabs (+ x (* -1 y))))))
(/ 1 (+ x (* 1/2 (fabs (+ x (* -1 y))))))
(+ x (* 1/2 (fabs (+ x (* -1 y)))))
(+ x (* 1/2 (fabs (+ x (* -1 y)))))
(+ x (* 1/2 (fabs (+ x (* -1 y)))))
(+ x (* 1/2 (fabs (+ x (* -1 y)))))
(pow y 2)
(* (pow y 2) (+ 1 (* -1 (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (+ 1 (* -1 (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (+ 1 (* -1 (/ (pow x 2) (pow y 2)))))
(* 1/2 (fabs (- x y)))
(+ x (* 1/2 (fabs (- x y))))
(+ x (* 1/2 (fabs (- x y))))
(+ x (* 1/2 (fabs (- x y))))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
(* -1 y)
(- x y)
(- x y)
(- x y)
(* 1/2 (fabs (- y x)))
(+ x (* 1/2 (fabs (- y x))))
(+ x (* 1/2 (fabs (- y x))))
(+ x (* 1/2 (fabs (- y x))))
(* 1/2 (fabs (- y x)))
(* 1/2 (fabs (- y x)))
(* 1/2 (fabs (- y x)))
(* 1/2 (fabs (- y x)))
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
y
(+ y (* -1 x))
(+ y (* -1 x))
(+ y (* -1 x))
(* 1/2 (fabs (- x y)))
(* 1/2 (fabs (- x y)))
(* 1/2 (fabs (- x y)))
(* 1/2 (fabs (- x y)))
(* 1/2 (fabs (- x y)))
(+ x (* 1/2 (fabs (- x y))))
(+ x (* 1/2 (fabs (- x y))))
(+ x (* 1/2 (fabs (- x y))))
(/ 2 (fabs (- x y)))
(/ 2 (fabs (- x y)))
(/ 2 (fabs (- x y)))
(/ 2 (fabs (- x y)))
(/ (fabs (+ (* -1 (pow x 2)) (pow y 2))) (fabs (+ x y)))
(/ (fabs (+ (* -1 (pow x 2)) (pow y 2))) (fabs (+ x y)))
(/ (fabs (+ (* -1 (pow x 2)) (pow y 2))) (fabs (+ x y)))
(/ (fabs (+ (* -1 (pow x 2)) (pow y 2))) (fabs (+ x y)))
(/ (fabs (+ x y)) (fabs (+ (* -1 (pow x 2)) (pow y 2))))
(/ (fabs (+ x y)) (fabs (+ (* -1 (pow x 2)) (pow y 2))))
(/ (fabs (+ x y)) (fabs (+ (* -1 (pow x 2)) (pow y 2))))
(/ (fabs (+ x y)) (fabs (+ (* -1 (pow x 2)) (pow y 2))))
(* 1/2 (/ (fabs (+ (* -1 (pow x 2)) (pow y 2))) (fabs (+ x y))))
(* 1/2 (/ (fabs (+ (* -1 (pow x 2)) (pow y 2))) (fabs (+ x y))))
(* 1/2 (/ (fabs (+ (* -1 (pow x 2)) (pow y 2))) (fabs (+ x y))))
(* 1/2 (/ (fabs (+ (* -1 (pow x 2)) (pow y 2))) (fabs (+ x y))))
(* 1/2 (/ (fabs (+ (* -1 (pow x 2)) (pow y 2))) (fabs (+ x y))))
(+ x (* 1/2 (/ (fabs (+ (* -1 (pow x 2)) (pow y 2))) (fabs (+ x y)))))
(+ x (* 1/2 (/ (fabs (+ (* -1 (pow x 2)) (pow y 2))) (fabs (+ x y)))))
(+ x (* 1/2 (/ (fabs (+ (* -1 (pow x 2)) (pow y 2))) (fabs (+ x y)))))
(* 1/2 (fabs (- x y)))
(+ x (* 1/2 (fabs (- x y))))
(+ x (* 1/2 (fabs (- x y))))
(+ x (* 1/2 (fabs (- x y))))
(/ 2 (fabs (- x y)))
(+ (* -4 (/ x (pow (fabs (- x y)) 2))) (* 2 (/ 1 (fabs (- x y)))))
(+ (* x (- (* 8 (/ x (pow (fabs (- x y)) 3))) (* 4 (/ 1 (pow (fabs (- x y)) 2))))) (* 2 (/ 1 (fabs (- x y)))))
(+ (* x (- (* x (+ (* -16 (/ x (pow (fabs (- x y)) 4))) (* 8 (/ 1 (pow (fabs (- x y)) 3))))) (* 4 (/ 1 (pow (fabs (- x y)) 2))))) (* 2 (/ 1 (fabs (- x y)))))
(* 1/2 (fabs (- x y)))
(+ x (* 1/2 (fabs (- x y))))
(+ x (* 1/2 (fabs (- x y))))
(+ x (* 1/2 (fabs (- x y))))
(pow y 2)
(+ (* -1 (pow x 2)) (pow y 2))
(+ (* -1 (pow x 2)) (pow y 2))
(+ (* -1 (pow x 2)) (pow y 2))
x
(* x (+ 1 (* 1/2 (/ (fabs (- x y)) x))))
(* x (+ 1 (* 1/2 (/ (fabs (- x y)) x))))
(* x (+ 1 (* 1/2 (/ (fabs (- x y)) x))))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
x
(* x (+ 1 (* 1/2 (/ (fabs (- y x)) x))))
(* x (+ 1 (* 1/2 (/ (fabs (- y x)) x))))
(* x (+ 1 (* 1/2 (/ (fabs (- y x)) x))))
(* 1/2 (fabs (- y x)))
(* 1/2 (fabs (- y x)))
(* 1/2 (fabs (- y x)))
(* 1/2 (fabs (- y x)))
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
(* -1 x)
(* x (- (/ y x) 1))
(* x (- (/ y x) 1))
(* x (- (/ y x) 1))
(* 1/2 (fabs (- x y)))
(* 1/2 (fabs (- x y)))
(* 1/2 (fabs (- x y)))
(* 1/2 (fabs (- x y)))
x
(* x (+ 1 (* 1/2 (/ (fabs (- x y)) x))))
(* x (+ 1 (* 1/2 (/ (fabs (- x y)) x))))
(* x (+ 1 (* 1/2 (/ (fabs (- x y)) x))))
(/ 2 (fabs (- x y)))
(/ 2 (fabs (- x y)))
(/ 2 (fabs (- x y)))
(/ 2 (fabs (- x y)))
(/ (fabs (- (pow y 2) (pow x 2))) (fabs (+ x y)))
(/ (fabs (- (pow y 2) (pow x 2))) (fabs (+ x y)))
(/ (fabs (- (pow y 2) (pow x 2))) (fabs (+ x y)))
(/ (fabs (- (pow y 2) (pow x 2))) (fabs (+ x y)))
(/ (fabs (+ x y)) (fabs (- (pow y 2) (pow x 2))))
(/ (fabs (+ x y)) (fabs (- (pow y 2) (pow x 2))))
(/ (fabs (+ x y)) (fabs (- (pow y 2) (pow x 2))))
(/ (fabs (+ x y)) (fabs (- (pow y 2) (pow x 2))))
(* 1/2 (/ (fabs (- (pow y 2) (pow x 2))) (fabs (+ x y))))
(* 1/2 (/ (fabs (- (pow y 2) (pow x 2))) (fabs (+ x y))))
(* 1/2 (/ (fabs (- (pow y 2) (pow x 2))) (fabs (+ x y))))
(* 1/2 (/ (fabs (- (pow y 2) (pow x 2))) (fabs (+ x y))))
x
(* x (+ 1 (* 1/2 (/ (fabs (- (pow y 2) (pow x 2))) (* x (fabs (+ x y)))))))
(* x (+ 1 (* 1/2 (/ (fabs (- (pow y 2) (pow x 2))) (* x (fabs (+ x y)))))))
(* x (+ 1 (* 1/2 (/ (fabs (- (pow y 2) (pow x 2))) (* x (fabs (+ x y)))))))
x
(* x (+ 1 (* 1/2 (/ (fabs (- x y)) x))))
(* x (+ 1 (* 1/2 (/ (fabs (- x y)) x))))
(* x (+ 1 (* 1/2 (/ (fabs (- x y)) x))))
(/ 1 x)
(/ (+ 1 (* -1/2 (/ (fabs (- x y)) x))) x)
(/ (- (+ 1 (* 1/4 (/ (pow (fabs (- x y)) 2) (pow x 2)))) (* 1/2 (/ (fabs (- x y)) x))) x)
(/ (- (+ 1 (* -1/8 (/ (pow (fabs (- x y)) 3) (pow x 3)))) (+ (* -1/4 (/ (pow (fabs (- x y)) 2) (pow x 2))) (* 1/2 (/ (fabs (- x y)) x)))) x)
x
(* x (+ 1 (* 1/2 (/ (fabs (- x y)) x))))
(* x (+ 1 (* 1/2 (/ (fabs (- x y)) x))))
(* x (+ 1 (* 1/2 (/ (fabs (- x y)) x))))
(* -1 (pow x 2))
(* (pow x 2) (- (/ (pow y 2) (pow x 2)) 1))
(* (pow x 2) (- (/ (pow y 2) (pow x 2)) 1))
(* (pow x 2) (- (/ (pow y 2) (pow x 2)) 1))
x
(* -1 (* x (- (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1)))
(* -1 (* x (- (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1)))
(* -1 (* x (- (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1)))
(fabs (neg (+ y (* -1 x))))
(fabs (neg (+ y (* -1 x))))
(fabs (neg (+ y (* -1 x))))
(fabs (neg (+ y (* -1 x))))
x
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
x
(* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1)))
(* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1)))
(* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1)))
(* 1/2 (fabs (+ y (* -1 x))))
(* 1/2 (fabs (+ y (* -1 x))))
(* 1/2 (fabs (+ y (* -1 x))))
(* 1/2 (fabs (+ y (* -1 x))))
(fabs (+ y (* -1 x)))
(fabs (+ y (* -1 x)))
(fabs (+ y (* -1 x)))
(fabs (+ y (* -1 x)))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* 1/2 (fabs (neg (+ y (* -1 x)))))
(* 1/2 (fabs (neg (+ y (* -1 x)))))
(* 1/2 (fabs (neg (+ y (* -1 x)))))
(* 1/2 (fabs (neg (+ y (* -1 x)))))
x
(* -1 (* x (- (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1)))
(* -1 (* x (- (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1)))
(* -1 (* x (- (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1)))
(/ 2 (fabs (neg (+ y (* -1 x)))))
(/ 2 (fabs (neg (+ y (* -1 x)))))
(/ 2 (fabs (neg (+ y (* -1 x)))))
(/ 2 (fabs (neg (+ y (* -1 x)))))
(/ (fabs (- (pow y 2) (pow x 2))) (fabs (- y (* -1 x))))
(/ (fabs (- (pow y 2) (pow x 2))) (fabs (- y (* -1 x))))
(/ (fabs (- (pow y 2) (pow x 2))) (fabs (- y (* -1 x))))
(/ (fabs (- (pow y 2) (pow x 2))) (fabs (- y (* -1 x))))
(/ (fabs (- y (* -1 x))) (fabs (- (pow y 2) (pow x 2))))
(/ (fabs (- y (* -1 x))) (fabs (- (pow y 2) (pow x 2))))
(/ (fabs (- y (* -1 x))) (fabs (- (pow y 2) (pow x 2))))
(/ (fabs (- y (* -1 x))) (fabs (- (pow y 2) (pow x 2))))
(* 1/2 (/ (fabs (- (pow y 2) (pow x 2))) (fabs (- y (* -1 x)))))
(* 1/2 (/ (fabs (- (pow y 2) (pow x 2))) (fabs (- y (* -1 x)))))
(* 1/2 (/ (fabs (- (pow y 2) (pow x 2))) (fabs (- y (* -1 x)))))
(* 1/2 (/ (fabs (- (pow y 2) (pow x 2))) (fabs (- y (* -1 x)))))
x
(* -1 (* x (- (* -1/2 (/ (fabs (- (pow y 2) (pow x 2))) (* x (fabs (- y (* -1 x)))))) 1)))
(* -1 (* x (- (* -1/2 (/ (fabs (- (pow y 2) (pow x 2))) (* x (fabs (- y (* -1 x)))))) 1)))
(* -1 (* x (- (* -1/2 (/ (fabs (- (pow y 2) (pow x 2))) (* x (fabs (- y (* -1 x)))))) 1)))
x
(* -1 (* x (- (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1)))
(* -1 (* x (- (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1)))
(* -1 (* x (- (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1)))
(/ 1 x)
(* -1 (/ (- (* 1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* 1/4 (/ (pow (fabs (neg (+ y (* -1 x)))) 2) x)) (* 1/2 (fabs (neg (+ y (* -1 x)))))) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (pow (fabs (neg (+ y (* -1 x)))) 3) x)) (* 1/4 (pow (fabs (neg (+ y (* -1 x)))) 2))) x)) (* 1/2 (fabs (neg (+ y (* -1 x)))))) x)) 1) x))
x
(* -1 (* x (- (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1)))
(* -1 (* x (- (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1)))
(* -1 (* x (- (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1)))
(* -1 (pow x 2))
(* (pow x 2) (- (/ (pow y 2) (pow x 2)) 1))
(* (pow x 2) (- (/ (pow y 2) (pow x 2)) 1))
(* (pow x 2) (- (/ (pow y 2) (pow x 2)) 1))

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

rewrite248.0ms (4.3%)

Memory

-4.7MiB live, 389.0MiB allocated

Rules

5 640×	`lower-fma.f32`
5 634×	`lower-fma.f64`
4 094×	`lower-/.f32`
4 082×	`lower-/.f64`
3 510×	`lower-*.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	33	164
0	58	119
1	237	113
2	1532	113
0	8588	113

Stop Event

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

Counts

18 → 941

Calls

Call 1

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

Outputs
(.f64 (pow.f64 (pow.f64 (-.f64 (.f64 x x) (.f64 #s(literal 1/4 binary64) (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 x (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) #s(literal -1 binary64)))
(.f64 (pow.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) (.f64 (neg.f64 x) x)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) (neg.f64 x)) #s(literal -1 binary64)))
(.f64 (pow.f64 (pow.f64 (fma.f64 (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) (neg.f64 x)) (*.f64 x x)) #s(literal -1 binary64)))
(.f64 (pow.f64 (pow.f64 (fma.f64 (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 x (-.f64 x (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x)) #s(literal 1 binary64)))
(.f64 (pow.f64 (-.f64 (.f64 x x) (.f64 #s(literal 1/4 binary64) (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (-.f64 x (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) (.f64 (neg.f64 x) x)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) (neg.f64 x)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (fma.f64 (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) (neg.f64 x)) (*.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (fma.f64 (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 x (-.f64 x (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x)) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x)))
(.f64 (neg.f64 (-.f64 (.f64 x x) (.f64 #s(literal 1/4 binary64) (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))))))
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(-.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))))) (/.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) (-.f64 x (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))))))
(-.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) (neg.f64 x))) (/.f64 (.f64 x x) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) (neg.f64 x))))
(-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x)))
(-.f64 x (*.f64 (fabs.f64 (-.f64 y x)) #s(literal -1/2 binary64)))
(exp.f64 (log.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x)))
(+.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))))) (neg.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) (-.f64 x (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))))))
(+.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) (neg.f64 x))) (neg.f64 (/.f64 (.f64 x x) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) (neg.f64 x)))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))) x)
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(.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (neg.f64 x) x (.f64 (neg.f64 y) y)))))
(.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 y y) (fma.f64 y y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))))
(.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (fma.f64 (neg.f64 x) x (.f64 (neg.f64 y) y)) #s(literal -1 binary64)))
(.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y #s(literal 4 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))))))
(.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (fma.f64 (.f64 y y) (fma.f64 y y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (+.f64 y x) (-.f64 x y)))
(*.f64 (+.f64 y x) (-.f64 y x))
(.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) x (.f64 y y)))
(pow.f64 (pow.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 x) x (.f64 (neg.f64 y) y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (neg.f64 x) x (.f64 (neg.f64 y) y))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 x) x (.f64 (neg.f64 y) y))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 x) x (.f64 (neg.f64 y) y))) (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (neg.f64 x) x (.f64 (neg.f64 y) y))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (neg.f64 x) x (.f64 (neg.f64 y) y))) (.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 x) x (.f64 (neg.f64 y) y))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (neg.f64 x) x (*.f64 (neg.f64 y) y)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (fma.f64 y y (*.f64 x x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))) (neg.f64 (neg.f64 (fma.f64 (neg.f64 x) x (*.f64 (neg.f64 y) y)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (neg.f64 (fma.f64 (.f64 y y) (fma.f64 y y (.f64 x x)) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 x) x (.f64 (neg.f64 y) y))) (.f64 (fma.f64 (neg.f64 x) x (.f64 (neg.f64 y) y)) (pow.f64 y #s(literal 4 binary64)))) (.f64 (fma.f64 (neg.f64 x) x (.f64 (neg.f64 y) y)) (fma.f64 (neg.f64 x) x (*.f64 (neg.f64 y) y))))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 y y (*.f64 x x)))
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(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (fma.f64 (.f64 y y) (fma.f64 y y (.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (neg.f64 x) x (*.f64 (neg.f64 y) y)))
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(/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (.f64 y y) (fma.f64 y y (.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
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(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))))
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(fma.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)) (*.f64 (neg.f64 x) x))
(fma.f64 (neg.f64 y) (neg.f64 y) (*.f64 (neg.f64 x) x))
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(fma.f64 #s(literal -1 binary64) (.f64 x x) (.f64 y y))
(fma.f64 (neg.f64 x) x (*.f64 y y))
(fma.f64 y y (*.f64 (neg.f64 x) x))
(fma.f64 x (neg.f64 x) (*.f64 y y))
(-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y (.f64 x x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 y y (.f64 x x))))
(-.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))))))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 x) x (.f64 (neg.f64 y) y))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (neg.f64 x) x (.f64 (neg.f64 y) y))))
(-.f64 #s(literal 0 binary64) (*.f64 (+.f64 y x) (-.f64 x y)))
(-.f64 (.f64 y y) (.f64 x x))
(+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 x) x (.f64 (neg.f64 y) y))) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (neg.f64 x) x (.f64 (neg.f64 y) y)))))
(+.f64 (.f64 (neg.f64 x) x) (.f64 y y))
(+.f64 (.f64 y y) (.f64 (neg.f64 x) x))

eval275.0ms (4.7%)

Memory: 5.5MiB live, 524.3MiB allocated
Compiler: Compiled 32 391 to 3 031 computations (90.6% saved)

prune83.0ms (1.4%)

Memory

-14.8MiB live, 146.9MiB allocated

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	1 678	5	1 683
Fresh	0	2	2
Picked	3	2	5
Done	0	0	0
Total	1 681	9	1 690

Accuracy

100.0%

Counts

1 690 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
▶	57.8%	(fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x)
	55.7%	(/.f64 (fma.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal -1/4 binary64) (*.f64 x x)) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x))
	75.7%	(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x) #s(literal -1/2 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x))))
▶	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x)))
▶	99.7%	(+.f64 x (/.f64 (fabs.f64 (.f64 (+.f64 x y) (.f64 (-.f64 y x) (pow.f64 (+.f64 x y) #s(literal -1 binary64))))) #s(literal 2 binary64)))
✓	99.7%	(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y)))))
▶	57.2%	#s(approx (+ x (/ (/ 1 (/ (fabs (+ x y)) (fabs (+ (* (neg x) x) (* y y))))) 2)) (fma.f64 (fabs.f64 (fma.f64 (neg.f64 y) y (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) (fabs.f64 (+.f64 y x))) x))
▶	7.6%	#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64)))

Compiler

Compiled 213 to 159 computations (25.4% saved)

simplify118.0ms (2%)

Memory

8.5MiB live, 178.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (neg.f64 y) y (*.f64 x x))
cost-diff	0	(fabs.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)))
cost-diff	0	#s(approx (+ x (/ (/ 1 (/ (fabs (+ x y)) (fabs (+ (* (neg x) x) (* y y))))) 2)) (fma.f64 (fabs.f64 (fma.f64 (neg.f64 y) y (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) (fabs.f64 (+.f64 y x))) x))
cost-diff	1664	(fma.f64 (fabs.f64 (fma.f64 (neg.f64 y) y (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) (fabs.f64 (+.f64 y x))) x)
cost-diff	0	(fabs.f64 (-.f64 y x))
cost-diff	0	(fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x)
cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x))
cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x)))
cost-diff	0	(neg.f64 y)
cost-diff	0	#s(approx (- x y) (neg.f64 y))
cost-diff	0	(fabs.f64 #s(approx (- x y) (neg.f64 y)))
cost-diff	0	(fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x)
cost-diff	0	#s(approx (- y x) (neg.f64 x))
cost-diff	0	(fabs.f64 #s(approx (- y x) (neg.f64 x)))
cost-diff	0	(*.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64)))
cost-diff	128	(+.f64 x (/.f64 (fabs.f64 (.f64 (+.f64 x y) (.f64 (-.f64 y x) (pow.f64 (+.f64 x y) #s(literal -1 binary64))))) #s(literal 2 binary64)))
cost-diff	384	(/.f64 (fabs.f64 (.f64 (+.f64 x y) (.f64 (-.f64 y x) (pow.f64 (+.f64 x y) #s(literal -1 binary64))))) #s(literal 2 binary64))
cost-diff	1408	(.f64 (+.f64 x y) (.f64 (-.f64 y x) (pow.f64 (+.f64 x y) #s(literal -1 binary64))))
cost-diff	6080	(*.f64 (-.f64 y x) (pow.f64 (+.f64 x y) #s(literal -1 binary64)))

Rules

10 316×	`lower-fma.f32`
10 308×	`lower-fma.f64`
2 758×	`lower-*.f32`
2 750×	`lower-*.f64`
1 864×	`lower--.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	51	284
0	81	334
1	125	331
2	207	205
3	471	205
4	1670	205
5	4562	205
0	8236	205

Stop Event

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

Calls

Call 1

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

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

localize136.0ms (2.3%)

Memory

-13.4MiB live, 251.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	#s(approx (+ x (/ (/ 1 (/ (fabs (+ x y)) (fabs (+ (* (neg x) x) (* y y))))) 2)) (fma.f64 (fabs.f64 (fma.f64 (neg.f64 y) y (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) (fabs.f64 (+.f64 y x))) x))
accuracy	0.01171875	(/.f64 #s(literal 1/2 binary64) (fabs.f64 (+.f64 y x)))
accuracy	1.4999834856333614	(fma.f64 (neg.f64 y) y (*.f64 x x))
accuracy	27.420330433531596	(fma.f64 (fabs.f64 (fma.f64 (neg.f64 y) y (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) (fabs.f64 (+.f64 y x))) x)
accuracy	0	(fabs.f64 (-.f64 y x))
accuracy	0.04296875	(fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x)
accuracy	0.078125	(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x))
accuracy	0.1953125	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x)))
accuracy	0	(neg.f64 y)
accuracy	0	(fabs.f64 #s(approx (- x y) (neg.f64 y)))
accuracy	0.04296875	(fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x)
accuracy	32.29774624581968	#s(approx (- x y) (neg.f64 y))
accuracy	0	(neg.f64 x)
accuracy	0	(fabs.f64 #s(approx (- y x) (neg.f64 x)))
accuracy	30.11257200217845	#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64)))
accuracy	30.92950549975315	#s(approx (- y x) (neg.f64 x))
accuracy	0	(fabs.f64 (.f64 (+.f64 x y) (.f64 (-.f64 y x) (pow.f64 (+.f64 x y) #s(literal -1 binary64)))))
accuracy	0.01171875	(pow.f64 (+.f64 x y) #s(literal -1 binary64))
accuracy	0.04296875	(+.f64 x (/.f64 (fabs.f64 (.f64 (+.f64 x y) (.f64 (-.f64 y x) (pow.f64 (+.f64 x y) #s(literal -1 binary64))))) #s(literal 2 binary64)))
accuracy	0.1484375	(*.f64 (-.f64 y x) (pow.f64 (+.f64 x y) #s(literal -1 binary64)))

Samples

78.0ms	233×	0	valid
11.0ms	7×	2	valid
6.0ms	5×	3	valid
6.0ms	10×	1	valid
1.0ms	1×	4	valid

Compiler

Compiled 249 to 48 computations (80.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 77.0ms

ival-add: 20.0ms (26.1% of total)

ival-mult: 15.0ms (19.6% of total)

ival-div: 14.0ms (18.3% of total)

ival-fabs: 9.0ms (11.8% of total)

ival-neg: 7.0ms (9.1% of total)

ival-pow: 5.0ms (6.5% of total)

adjust: 3.0ms (3.9% of total)

ival-sub: 3.0ms (3.9% of total)

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

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

exact: 0.0ms (0% of total)

series51.0ms (0.9%)

Memory

8.5MiB live, 86.1MiB allocated

Counts

24 → 552

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
12.0ms	y	@	-inf	((* (- y x) (pow (+ x y) -1)) (* (+ x y) (* (- y x) (pow (+ x y) -1))) (/ (fabs (* (+ x y) (* (- y x) (pow (+ x y) -1)))) 2) (+ x (/ (fabs (* (+ x y) (* (- y x) (pow (+ x y) -1)))) 2)) (+ x (/ (fabs (- y x)) 2)) (* (fabs (- y x)) 1/2) (fabs (- y x)) (- y x) (+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (neg y) (/ 1 (/ 1 (+ (* 1/2 (fabs (- y x))) x))) (/ 1 (+ (* 1/2 (fabs (- y x))) x)) (+ (* 1/2 (fabs (- y x))) x) (fabs (- y x)) (+ (* (fabs (+ (* (neg y) y) (* x x))) (/ 1/2 (fabs (+ y x)))) x) (+ x (/ (/ 1 (/ (fabs (+ x y)) (fabs (+ (* (neg x) x) (* y y))))) 2)) (fabs (+ (* (neg y) y) (* x x))) (+ (* (neg y) y) (* x x)) (pow (+ x y) -1) (fabs (* (+ x y) (* (- y x) (pow (+ x y) -1)))) (neg x) (/ 1/2 (fabs (+ y x))))
7.0ms	y	@	0	((* (- y x) (pow (+ x y) -1)) (* (+ x y) (* (- y x) (pow (+ x y) -1))) (/ (fabs (* (+ x y) (* (- y x) (pow (+ x y) -1)))) 2) (+ x (/ (fabs (* (+ x y) (* (- y x) (pow (+ x y) -1)))) 2)) (+ x (/ (fabs (- y x)) 2)) (* (fabs (- y x)) 1/2) (fabs (- y x)) (- y x) (+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (neg y) (/ 1 (/ 1 (+ (* 1/2 (fabs (- y x))) x))) (/ 1 (+ (* 1/2 (fabs (- y x))) x)) (+ (* 1/2 (fabs (- y x))) x) (fabs (- y x)) (+ (* (fabs (+ (* (neg y) y) (* x x))) (/ 1/2 (fabs (+ y x)))) x) (+ x (/ (/ 1 (/ (fabs (+ x y)) (fabs (+ (* (neg x) x) (* y y))))) 2)) (fabs (+ (* (neg y) y) (* x x))) (+ (* (neg y) y) (* x x)) (pow (+ x y) -1) (fabs (* (+ x y) (* (- y x) (pow (+ x y) -1)))) (neg x) (/ 1/2 (fabs (+ y x))))
4.0ms	y	@	inf	((* (- y x) (pow (+ x y) -1)) (* (+ x y) (* (- y x) (pow (+ x y) -1))) (/ (fabs (* (+ x y) (* (- y x) (pow (+ x y) -1)))) 2) (+ x (/ (fabs (* (+ x y) (* (- y x) (pow (+ x y) -1)))) 2)) (+ x (/ (fabs (- y x)) 2)) (* (fabs (- y x)) 1/2) (fabs (- y x)) (- y x) (+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (neg y) (/ 1 (/ 1 (+ (* 1/2 (fabs (- y x))) x))) (/ 1 (+ (* 1/2 (fabs (- y x))) x)) (+ (* 1/2 (fabs (- y x))) x) (fabs (- y x)) (+ (* (fabs (+ (* (neg y) y) (* x x))) (/ 1/2 (fabs (+ y x)))) x) (+ x (/ (/ 1 (/ (fabs (+ x y)) (fabs (+ (* (neg x) x) (* y y))))) 2)) (fabs (+ (* (neg y) y) (* x x))) (+ (* (neg y) y) (* x x)) (pow (+ x y) -1) (fabs (* (+ x y) (* (- y x) (pow (+ x y) -1)))) (neg x) (/ 1/2 (fabs (+ y x))))
3.0ms	x	@	-inf	((* (- y x) (pow (+ x y) -1)) (* (+ x y) (* (- y x) (pow (+ x y) -1))) (/ (fabs (* (+ x y) (* (- y x) (pow (+ x y) -1)))) 2) (+ x (/ (fabs (* (+ x y) (* (- y x) (pow (+ x y) -1)))) 2)) (+ x (/ (fabs (- y x)) 2)) (* (fabs (- y x)) 1/2) (fabs (- y x)) (- y x) (+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (neg y) (/ 1 (/ 1 (+ (* 1/2 (fabs (- y x))) x))) (/ 1 (+ (* 1/2 (fabs (- y x))) x)) (+ (* 1/2 (fabs (- y x))) x) (fabs (- y x)) (+ (* (fabs (+ (* (neg y) y) (* x x))) (/ 1/2 (fabs (+ y x)))) x) (+ x (/ (/ 1 (/ (fabs (+ x y)) (fabs (+ (* (neg x) x) (* y y))))) 2)) (fabs (+ (* (neg y) y) (* x x))) (+ (* (neg y) y) (* x x)) (pow (+ x y) -1) (fabs (* (+ x y) (* (- y x) (pow (+ x y) -1)))) (neg x) (/ 1/2 (fabs (+ y x))))
3.0ms	x	@	inf	((* (- y x) (pow (+ x y) -1)) (* (+ x y) (* (- y x) (pow (+ x y) -1))) (/ (fabs (* (+ x y) (* (- y x) (pow (+ x y) -1)))) 2) (+ x (/ (fabs (* (+ x y) (* (- y x) (pow (+ x y) -1)))) 2)) (+ x (/ (fabs (- y x)) 2)) (* (fabs (- y x)) 1/2) (fabs (- y x)) (- y x) (+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (neg y) (/ 1 (/ 1 (+ (* 1/2 (fabs (- y x))) x))) (/ 1 (+ (* 1/2 (fabs (- y x))) x)) (+ (* 1/2 (fabs (- y x))) x) (fabs (- y x)) (+ (* (fabs (+ (* (neg y) y) (* x x))) (/ 1/2 (fabs (+ y x)))) x) (+ x (/ (/ 1 (/ (fabs (+ x y)) (fabs (+ (* (neg x) x) (* y y))))) 2)) (fabs (+ (* (neg y) y) (* x x))) (+ (* (neg y) y) (* x x)) (pow (+ x y) -1) (fabs (* (+ x y) (* (- y x) (pow (+ x y) -1)))) (neg x) (/ 1/2 (fabs (+ y x))))

simplify219.0ms (3.8%)

Memory

-6.6MiB live, 282.0MiB allocated

Algorithm

1×	egg-herbie

Rules

9 576×	`lower-fma.f64`
9 576×	`lower-fma.f32`
4 178×	`lower-*.f64`
4 178×	`lower-*.f32`
2 970×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	400	4482
1	1156	4381
2	2869	4280
3	7869	4280
0	8320	4067

Stop Event

1×	iter limit
1×	node limit

Counts

552 → 529

Calls

Call 1

Inputs
-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)
(* -1 x)
(- y x)
(- y x)
(- y x)
(* 1/2 (fabs (- y x)))
(* 1/2 (fabs (- y x)))
(* 1/2 (fabs (- y x)))
(* 1/2 (fabs (- y x)))
(+ x (* 1/2 (fabs (- y x))))
(+ x (* 1/2 (fabs (- y x))))
(+ x (* 1/2 (fabs (- y x))))
(+ x (* 1/2 (fabs (- y x))))
(+ x (* 1/2 (fabs (- y x))))
(+ x (* 1/2 (fabs (- y x))))
(+ x (* 1/2 (fabs (- y x))))
(+ x (* 1/2 (fabs (- y x))))
(* 1/2 (fabs (- y x)))
(* 1/2 (fabs (- y x)))
(* 1/2 (fabs (- y x)))
(* 1/2 (fabs (- y x)))
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
(* -1 x)
(- y x)
(- y x)
(- y x)
(+ x (* 1/2 (fabs (- x y))))
(+ x (* 1/2 (fabs (- x y))))
(+ x (* 1/2 (fabs (- x y))))
(+ x (* 1/2 (fabs (- x y))))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
x
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* -1 y))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(+ x (* 1/2 (fabs (- y x))))
(+ x (* 1/2 (fabs (- y x))))
(+ x (* 1/2 (fabs (- y x))))
(+ x (* 1/2 (fabs (- y x))))
(/ 1 (+ x (* 1/2 (fabs (- y x)))))
(/ 1 (+ x (* 1/2 (fabs (- y x)))))
(/ 1 (+ x (* 1/2 (fabs (- y x)))))
(/ 1 (+ x (* 1/2 (fabs (- y x)))))
(+ x (* 1/2 (fabs (- y x))))
(+ x (* 1/2 (fabs (- y x))))
(+ x (* 1/2 (fabs (- y x))))
(+ x (* 1/2 (fabs (- y x))))
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
(+ x (* 1/2 (/ (fabs (+ (* -1 (pow y 2)) (pow x 2))) (fabs (+ x y)))))
(+ x (* 1/2 (/ (fabs (+ (* -1 (pow y 2)) (pow x 2))) (fabs (+ x y)))))
(+ x (* 1/2 (/ (fabs (+ (* -1 (pow y 2)) (pow x 2))) (fabs (+ x y)))))
(+ x (* 1/2 (/ (fabs (+ (* -1 (pow y 2)) (pow x 2))) (fabs (+ x y)))))
(+ x (* 1/2 (/ (fabs (+ (* -1 (pow x 2)) (pow y 2))) (fabs (+ x y)))))
(+ x (* 1/2 (/ (fabs (+ (* -1 (pow x 2)) (pow y 2))) (fabs (+ x y)))))
(+ x (* 1/2 (/ (fabs (+ (* -1 (pow x 2)) (pow y 2))) (fabs (+ x y)))))
(+ x (* 1/2 (/ (fabs (+ (* -1 (pow x 2)) (pow y 2))) (fabs (+ x y)))))
(fabs (+ (* -1 (pow y 2)) (pow x 2)))
(fabs (+ (* -1 (pow y 2)) (pow x 2)))
(fabs (+ (* -1 (pow y 2)) (pow x 2)))
(fabs (+ (* -1 (pow y 2)) (pow x 2)))
(pow x 2)
(+ (* -1 (pow y 2)) (pow x 2))
(+ (* -1 (pow y 2)) (pow x 2))
(+ (* -1 (pow y 2)) (pow x 2))
(/ 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))
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
(/ 1/2 (fabs (+ x y)))
(/ 1/2 (fabs (+ x y)))
(/ 1/2 (fabs (+ x y)))
(/ 1/2 (fabs (+ x y)))
1
(- (+ 1 (* -1 (/ x y))) (/ x y))
(- (+ 1 (+ (* -1 (/ x y)) (* -1 (/ (* x (- (* -1 x) x)) (pow y 2))))) (/ x y))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow x 2) (- (* -1 x) x)) (pow y 3)))) (+ (/ x y) (/ (* x (- (* -1 x) x)) (pow y 2))))
y
(* y (+ 1 (* -1 (/ x y))))
(* y (+ 1 (* -1 (/ x y))))
(* y (+ 1 (* -1 (/ x y))))
(* 1/2 (fabs (- y x)))
(* 1/2 (fabs (- y x)))
(* 1/2 (fabs (- y x)))
(* 1/2 (fabs (- y x)))
(+ x (* 1/2 (fabs (- y x))))
(+ x (* 1/2 (fabs (- y x))))
(+ x (* 1/2 (fabs (- y x))))
(+ x (* 1/2 (fabs (- y x))))
(+ x (* 1/2 (fabs (- y x))))
(+ x (* 1/2 (fabs (- y x))))
(+ x (* 1/2 (fabs (- y x))))
(+ x (* 1/2 (fabs (- y x))))
(* 1/2 (fabs (- y x)))
(* 1/2 (fabs (- y x)))
(* 1/2 (fabs (- y x)))
(* 1/2 (fabs (- y x)))
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
y
(* y (+ 1 (* -1 (/ x y))))
(* y (+ 1 (* -1 (/ x y))))
(* y (+ 1 (* -1 (/ x y))))
(+ x (* 1/2 (fabs (- x y))))
(+ x (* 1/2 (fabs (- x y))))
(+ x (* 1/2 (fabs (- x y))))
(+ x (* 1/2 (fabs (- x y))))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
(* -1 y)
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(+ x (* 1/2 (fabs (- y x))))
(+ x (* 1/2 (fabs (- y x))))
(+ x (* 1/2 (fabs (- y x))))
(+ x (* 1/2 (fabs (- y x))))
(/ 1 (+ x (* 1/2 (fabs (- y x)))))
(/ 1 (+ x (* 1/2 (fabs (- y x)))))
(/ 1 (+ x (* 1/2 (fabs (- y x)))))
(/ 1 (+ x (* 1/2 (fabs (- y x)))))
(+ x (* 1/2 (fabs (- y x))))
(+ x (* 1/2 (fabs (- y x))))
(+ x (* 1/2 (fabs (- y x))))
(+ x (* 1/2 (fabs (- y x))))
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
(+ x (* 1/2 (/ (fabs (- (pow x 2) (pow y 2))) (fabs (+ x y)))))
(+ x (* 1/2 (/ (fabs (- (pow x 2) (pow y 2))) (fabs (+ x y)))))
(+ x (* 1/2 (/ (fabs (- (pow x 2) (pow y 2))) (fabs (+ x y)))))
(+ x (* 1/2 (/ (fabs (- (pow x 2) (pow y 2))) (fabs (+ x y)))))
(+ x (* 1/2 (/ (fabs (+ (* -1 (pow x 2)) (pow y 2))) (fabs (+ x y)))))
(+ x (* 1/2 (/ (fabs (+ (* -1 (pow x 2)) (pow y 2))) (fabs (+ x y)))))
(+ x (* 1/2 (/ (fabs (+ (* -1 (pow x 2)) (pow y 2))) (fabs (+ x y)))))
(+ x (* 1/2 (/ (fabs (+ (* -1 (pow x 2)) (pow y 2))) (fabs (+ x y)))))
(fabs (- (pow x 2) (pow y 2)))
(fabs (- (pow x 2) (pow y 2)))
(fabs (- (pow x 2) (pow y 2)))
(fabs (- (pow x 2) (pow y 2)))
(* -1 (pow y 2))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))
(/ 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)
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
(/ 1/2 (fabs (+ x y)))
(/ 1/2 (fabs (+ x y)))
(/ 1/2 (fabs (+ x y)))
(/ 1/2 (fabs (+ x y)))
1
(- (+ 1 (* -1 (/ x y))) (/ x y))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 x) x)) (/ (* x (- (* -1 x) x)) y)) y)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 x) x)) (* -1 (/ (+ (* -1 (* x (- (* -1 x) x))) (/ (* (pow x 2) (- (* -1 x) x)) y)) y))) y)))
y
(* -1 (* y (- (/ x y) 1)))
(* -1 (* y (- (/ x y) 1)))
(* -1 (* y (- (/ x y) 1)))
(* 1/2 (fabs (* -1 (+ x (* -1 y)))))
(* 1/2 (fabs (* -1 (+ x (* -1 y)))))
(* 1/2 (fabs (* -1 (+ x (* -1 y)))))
(* 1/2 (fabs (* -1 (+ x (* -1 y)))))
(+ x (* 1/2 (fabs (* -1 (+ x (* -1 y))))))
(+ x (* 1/2 (fabs (* -1 (+ x (* -1 y))))))
(+ x (* 1/2 (fabs (* -1 (+ x (* -1 y))))))
(+ x (* 1/2 (fabs (* -1 (+ x (* -1 y))))))
(+ x (* 1/2 (fabs (neg (+ x (* -1 y))))))
(+ x (* 1/2 (fabs (neg (+ x (* -1 y))))))
(+ x (* 1/2 (fabs (neg (+ x (* -1 y))))))
(+ x (* 1/2 (fabs (neg (+ x (* -1 y))))))
(* 1/2 (fabs (neg (+ x (* -1 y)))))
(* 1/2 (fabs (neg (+ x (* -1 y)))))
(* 1/2 (fabs (neg (+ x (* -1 y)))))
(* 1/2 (fabs (neg (+ x (* -1 y)))))
(fabs (neg (+ x (* -1 y))))
(fabs (neg (+ x (* -1 y))))
(fabs (neg (+ x (* -1 y))))
(fabs (neg (+ x (* -1 y))))
y
(* -1 (* y (- (/ x y) 1)))
(* -1 (* y (- (/ x y) 1)))
(* -1 (* y (- (/ x y) 1)))
(+ x (* 1/2 (fabs (+ x (* -1 y)))))
(+ x (* 1/2 (fabs (+ x (* -1 y)))))
(+ x (* 1/2 (fabs (+ x (* -1 y)))))
(+ x (* 1/2 (fabs (+ x (* -1 y)))))
(fabs (+ x (* -1 y)))
(fabs (+ x (* -1 y)))
(fabs (+ x (* -1 y)))
(fabs (+ x (* -1 y)))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(+ x (* 1/2 (fabs (neg (+ x (* -1 y))))))
(+ x (* 1/2 (fabs (neg (+ x (* -1 y))))))
(+ x (* 1/2 (fabs (neg (+ x (* -1 y))))))
(+ x (* 1/2 (fabs (neg (+ x (* -1 y))))))
(/ 1 (+ x (* 1/2 (fabs (neg (+ x (* -1 y)))))))
(/ 1 (+ x (* 1/2 (fabs (neg (+ x (* -1 y)))))))
(/ 1 (+ x (* 1/2 (fabs (neg (+ x (* -1 y)))))))
(/ 1 (+ x (* 1/2 (fabs (neg (+ x (* -1 y)))))))
(+ x (* 1/2 (fabs (neg (+ x (* -1 y))))))
(+ x (* 1/2 (fabs (neg (+ x (* -1 y))))))
(+ x (* 1/2 (fabs (neg (+ x (* -1 y))))))
(+ x (* 1/2 (fabs (neg (+ x (* -1 y))))))
(fabs (neg (+ x (* -1 y))))
(fabs (neg (+ x (* -1 y))))
(fabs (neg (+ x (* -1 y))))
(fabs (neg (+ x (* -1 y))))
(+ x (* 1/2 (/ (fabs (- (pow x 2) (pow y 2))) (fabs (- x (* -1 y))))))
(+ x (* 1/2 (/ (fabs (- (pow x 2) (pow y 2))) (fabs (- x (* -1 y))))))
(+ x (* 1/2 (/ (fabs (- (pow x 2) (pow y 2))) (fabs (- x (* -1 y))))))
(+ x (* 1/2 (/ (fabs (- (pow x 2) (pow y 2))) (fabs (- x (* -1 y))))))
(+ x (* 1/2 (/ (fabs (+ (* -1 (pow x 2)) (pow y 2))) (fabs (- x (* -1 y))))))
(+ x (* 1/2 (/ (fabs (+ (* -1 (pow x 2)) (pow y 2))) (fabs (- x (* -1 y))))))
(+ x (* 1/2 (/ (fabs (+ (* -1 (pow x 2)) (pow y 2))) (fabs (- x (* -1 y))))))
(+ x (* 1/2 (/ (fabs (+ (* -1 (pow x 2)) (pow y 2))) (fabs (- x (* -1 y))))))
(fabs (- (pow x 2) (pow y 2)))
(fabs (- (pow x 2) (pow y 2)))
(fabs (- (pow x 2) (pow y 2)))
(fabs (- (pow x 2) (pow y 2)))
(* -1 (pow y 2))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))
(/ 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))
(fabs (* -1 (+ x (* -1 y))))
(fabs (* -1 (+ x (* -1 y))))
(fabs (* -1 (+ x (* -1 y))))
(fabs (* -1 (+ x (* -1 y))))
(/ 1/2 (fabs (- x (* -1 y))))
(/ 1/2 (fabs (- x (* -1 y))))
(/ 1/2 (fabs (- x (* -1 y))))
(/ 1/2 (fabs (- x (* -1 y))))
1
(+ 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)))))
y
(+ y (* -1 x))
(+ y (* -1 x))
(+ y (* -1 x))
(* 1/2 (fabs (- y x)))
(* 1/2 (fabs (- y x)))
(* 1/2 (fabs (- y x)))
(* 1/2 (fabs (- y x)))
(* 1/2 (fabs (- y x)))
(+ x (* 1/2 (fabs (- y x))))
(+ x (* 1/2 (fabs (- y x))))
(+ x (* 1/2 (fabs (- y x))))
(* 1/2 (fabs (- y x)))
(+ x (* 1/2 (fabs (- y x))))
(+ x (* 1/2 (fabs (- y x))))
(+ x (* 1/2 (fabs (- y x))))
(* 1/2 (fabs (- y x)))
(* 1/2 (fabs (- y x)))
(* 1/2 (fabs (- y x)))
(* 1/2 (fabs (- y x)))
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
y
(+ y (* -1 x))
(+ y (* -1 x))
(+ y (* -1 x))
(* 1/2 (fabs (- x y)))
(+ x (* 1/2 (fabs (- x y))))
(+ x (* 1/2 (fabs (- x y))))
(+ x (* 1/2 (fabs (- x y))))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
(* -1 y)
(- x y)
(- x y)
(- x y)
(* 1/2 (fabs (- y x)))
(+ x (* 1/2 (fabs (- y x))))
(+ x (* 1/2 (fabs (- y x))))
(+ x (* 1/2 (fabs (- y x))))
(/ 2 (fabs (- y x)))
(+ (* -4 (/ x (pow (fabs (- y x)) 2))) (* 2 (/ 1 (fabs (- y x)))))
(+ (* x (- (* 8 (/ x (pow (fabs (- y x)) 3))) (* 4 (/ 1 (pow (fabs (- y x)) 2))))) (* 2 (/ 1 (fabs (- y x)))))
(+ (* x (- (* x (+ (* -16 (/ x (pow (fabs (- y x)) 4))) (* 8 (/ 1 (pow (fabs (- y x)) 3))))) (* 4 (/ 1 (pow (fabs (- y x)) 2))))) (* 2 (/ 1 (fabs (- y x)))))
(* 1/2 (fabs (- y x)))
(+ x (* 1/2 (fabs (- y x))))
(+ x (* 1/2 (fabs (- y x))))
(+ x (* 1/2 (fabs (- y x))))
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
(* 1/2 (/ (fabs (+ (* -1 (pow y 2)) (pow x 2))) (fabs (+ x y))))
(+ x (* 1/2 (/ (fabs (+ (* -1 (pow y 2)) (pow x 2))) (fabs (+ x y)))))
(+ x (* 1/2 (/ (fabs (+ (* -1 (pow y 2)) (pow x 2))) (fabs (+ x y)))))
(+ x (* 1/2 (/ (fabs (+ (* -1 (pow y 2)) (pow x 2))) (fabs (+ x y)))))
(* 1/2 (/ (fabs (+ (* -1 (pow x 2)) (pow y 2))) (fabs (+ x y))))
(+ x (* 1/2 (/ (fabs (+ (* -1 (pow x 2)) (pow y 2))) (fabs (+ x y)))))
(+ x (* 1/2 (/ (fabs (+ (* -1 (pow x 2)) (pow y 2))) (fabs (+ x y)))))
(+ x (* 1/2 (/ (fabs (+ (* -1 (pow x 2)) (pow y 2))) (fabs (+ x y)))))
(fabs (+ (* -1 (pow y 2)) (pow x 2)))
(fabs (+ (* -1 (pow y 2)) (pow x 2)))
(fabs (+ (* -1 (pow y 2)) (pow x 2)))
(fabs (+ (* -1 (pow y 2)) (pow x 2)))
(* -1 (pow y 2))
(+ (* -1 (pow y 2)) (pow x 2))
(+ (* -1 (pow y 2)) (pow x 2))
(+ (* -1 (pow y 2)) (pow x 2))
(/ 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))
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(/ 1/2 (fabs (+ x y)))
(/ 1/2 (fabs (+ x y)))
(/ 1/2 (fabs (+ x y)))
(/ 1/2 (fabs (+ x y)))
-1
(- (/ y x) (+ 1 (* -1 (/ y x))))
(- (+ (* -1 (/ (* y (- y (* -1 y))) (pow x 2))) (/ y x)) (+ 1 (* -1 (/ y x))))
(- (+ (/ y x) (/ (* (pow y 2) (- y (* -1 y))) (pow x 3))) (+ 1 (+ (* -1 (/ y x)) (/ (* y (- y (* -1 y))) (pow x 2)))))
(* -1 x)
(* x (- (/ y x) 1))
(* x (- (/ y x) 1))
(* x (- (/ y x) 1))
(* 1/2 (fabs (- y x)))
(* 1/2 (fabs (- y x)))
(* 1/2 (fabs (- y x)))
(* 1/2 (fabs (- y x)))
x
(* x (+ 1 (* 1/2 (/ (fabs (- y x)) x))))
(* x (+ 1 (* 1/2 (/ (fabs (- y x)) x))))
(* x (+ 1 (* 1/2 (/ (fabs (- y x)) x))))
x
(* x (+ 1 (* 1/2 (/ (fabs (- y x)) x))))
(* x (+ 1 (* 1/2 (/ (fabs (- y x)) x))))
(* x (+ 1 (* 1/2 (/ (fabs (- y x)) x))))
(* 1/2 (fabs (- y x)))
(* 1/2 (fabs (- y x)))
(* 1/2 (fabs (- y x)))
(* 1/2 (fabs (- y x)))
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
(* -1 x)
(* x (- (/ y x) 1))
(* x (- (/ y x) 1))
(* x (- (/ y x) 1))
x
(* x (+ 1 (* 1/2 (/ (fabs (- x y)) x))))
(* x (+ 1 (* 1/2 (/ (fabs (- x y)) x))))
(* x (+ 1 (* 1/2 (/ (fabs (- x y)) x))))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
x
(* x (+ 1 (* 1/2 (/ (fabs (- y x)) x))))
(* x (+ 1 (* 1/2 (/ (fabs (- y x)) x))))
(* x (+ 1 (* 1/2 (/ (fabs (- y x)) x))))
(/ 1 x)
(/ (+ 1 (* -1/2 (/ (fabs (- y x)) x))) x)
(/ (- (+ 1 (* 1/4 (/ (pow (fabs (- y x)) 2) (pow x 2)))) (* 1/2 (/ (fabs (- y x)) x))) x)
(/ (- (+ 1 (* -1/8 (/ (pow (fabs (- y x)) 3) (pow x 3)))) (+ (* -1/4 (/ (pow (fabs (- y x)) 2) (pow x 2))) (* 1/2 (/ (fabs (- y x)) x)))) x)
x
(* x (+ 1 (* 1/2 (/ (fabs (- y x)) x))))
(* x (+ 1 (* 1/2 (/ (fabs (- y x)) x))))
(* x (+ 1 (* 1/2 (/ (fabs (- y x)) x))))
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
x
(* x (+ 1 (* 1/2 (/ (fabs (+ (* -1 (pow y 2)) (pow x 2))) (* x (fabs (+ x y)))))))
(* x (+ 1 (* 1/2 (/ (fabs (+ (* -1 (pow y 2)) (pow x 2))) (* x (fabs (+ x y)))))))
(* x (+ 1 (* 1/2 (/ (fabs (+ (* -1 (pow y 2)) (pow x 2))) (* x (fabs (+ x y)))))))
x
(* x (+ 1 (* 1/2 (/ (fabs (- (pow y 2) (pow x 2))) (* x (fabs (+ x y)))))))
(* x (+ 1 (* 1/2 (/ (fabs (- (pow y 2) (pow x 2))) (* x (fabs (+ x y)))))))
(* x (+ 1 (* 1/2 (/ (fabs (- (pow y 2) (pow x 2))) (* x (fabs (+ x y)))))))
(fabs (+ (* -1 (pow y 2)) (pow x 2)))
(fabs (+ (* -1 (pow y 2)) (pow x 2)))
(fabs (+ (* -1 (pow y 2)) (pow x 2)))
(fabs (+ (* -1 (pow y 2)) (pow x 2)))
(pow x 2)
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
(/ 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)
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(/ 1/2 (fabs (+ x y)))
(/ 1/2 (fabs (+ x y)))
(/ 1/2 (fabs (+ x y)))
(/ 1/2 (fabs (+ x y)))
-1
(- (* -1 (/ (- (* -1 y) y) x)) 1)
(- (* -1 (/ (- (+ (* -1 y) (* -1 (/ (* y (- (* -1 y) y)) x))) y) x)) 1)
(- (* -1 (/ (- (+ (* -1 y) (* -1 (/ (- (* -1 (/ (* (pow y 2) (- (* -1 y) y)) x)) (* -1 (* y (- (* -1 y) y)))) x))) y) x)) 1)
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* 1/2 (fabs (+ y (* -1 x))))
(* 1/2 (fabs (+ y (* -1 x))))
(* 1/2 (fabs (+ y (* -1 x))))
(* 1/2 (fabs (+ y (* -1 x))))
x
(* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1)))
(* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1)))
(* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1)))
x
(* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1)))
(* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1)))
(* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1)))
(* 1/2 (fabs (+ y (* -1 x))))
(* 1/2 (fabs (+ y (* -1 x))))
(* 1/2 (fabs (+ y (* -1 x))))
(* 1/2 (fabs (+ y (* -1 x))))
(fabs (+ y (* -1 x)))
(fabs (+ y (* -1 x)))
(fabs (+ y (* -1 x)))
(fabs (+ y (* -1 x)))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
x
(* -1 (* x (- (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1)))
(* -1 (* x (- (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1)))
(* -1 (* x (- (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1)))
(fabs (neg (+ y (* -1 x))))
(fabs (neg (+ y (* -1 x))))
(fabs (neg (+ y (* -1 x))))
(fabs (neg (+ y (* -1 x))))
x
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
x
(* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1)))
(* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1)))
(* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1)))
(/ 1 x)
(* -1 (/ (- (* 1/2 (/ (fabs (+ y (* -1 x))) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* 1/4 (/ (pow (fabs (+ y (* -1 x))) 2) x)) (* 1/2 (fabs (+ y (* -1 x))))) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (pow (fabs (+ y (* -1 x))) 3) x)) (* 1/4 (pow (fabs (+ y (* -1 x))) 2))) x)) (* 1/2 (fabs (+ y (* -1 x))))) x)) 1) x))
x
(* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1)))
(* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1)))
(* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1)))
(fabs (+ y (* -1 x)))
(fabs (+ y (* -1 x)))
(fabs (+ y (* -1 x)))
(fabs (+ y (* -1 x)))
x
(* -1 (* x (- (* -1/2 (/ (fabs (+ (* -1 (pow y 2)) (pow x 2))) (* x (fabs (- y (* -1 x)))))) 1)))
(* -1 (* x (- (* -1/2 (/ (fabs (+ (* -1 (pow y 2)) (pow x 2))) (* x (fabs (- y (* -1 x)))))) 1)))
(* -1 (* x (- (* -1/2 (/ (fabs (+ (* -1 (pow y 2)) (pow x 2))) (* x (fabs (- y (* -1 x)))))) 1)))
x
(* -1 (* x (- (* -1/2 (/ (fabs (- (pow y 2) (pow x 2))) (* x (fabs (- y (* -1 x)))))) 1)))
(* -1 (* x (- (* -1/2 (/ (fabs (- (pow y 2) (pow x 2))) (* x (fabs (- y (* -1 x)))))) 1)))
(* -1 (* x (- (* -1/2 (/ (fabs (- (pow y 2) (pow x 2))) (* x (fabs (- y (* -1 x)))))) 1)))
(fabs (+ (* -1 (pow y 2)) (pow x 2)))
(fabs (+ (* -1 (pow y 2)) (pow x 2)))
(fabs (+ (* -1 (pow y 2)) (pow x 2)))
(fabs (+ (* -1 (pow y 2)) (pow x 2)))
(pow x 2)
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
(/ 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))
(fabs (+ y (* -1 x)))
(fabs (+ y (* -1 x)))
(fabs (+ y (* -1 x)))
(fabs (+ y (* -1 x)))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(/ 1/2 (fabs (- y (* -1 x))))
(/ 1/2 (fabs (- y (* -1 x))))
(/ 1/2 (fabs (- y (* -1 x))))
(/ 1/2 (fabs (- y (* -1 x))))

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

rewrite208.0ms (3.6%)

Memory

0.9MiB live, 228.2MiB allocated

Rules

4 270×	`lower-/.f32`
4 262×	`lower-/.f64`
3 828×	`lower-*.f32`
3 820×	`lower-*.f64`
3 162×	`lower-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	51	247
0	81	255
1	323	177
2	2433	168
0	9245	168

Stop Event

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

Counts

24 → 1 226

Calls

Call 1

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

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

eval314.0ms (5.4%)

Memory: 34.8MiB live, 422.4MiB allocated
Compiler: Compiled 38 336 to 4 379 computations (88.6% saved)

prune58.0ms (1%)

Memory

-22.2MiB live, 141.2MiB allocated

Pruning

11 alts after pruning (7 fresh and 4 done)

	Pruned	Kept	Total
New	1 773	5	1 778
Fresh	0	2	2
Picked	3	2	5
Done	0	2	2
Total	1 776	11	1 787

Accuracy

100.0%

Counts

1 787 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
▶	87.2%	(fma.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y))) #s(literal 1/2 binary64) x)
✓	57.8%	(fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x)
	55.7%	(/.f64 (fma.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal -1/4 binary64) (*.f64 x x)) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x))
	75.7%	(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x) #s(literal -1/2 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x))))
▶	53.1%	(+.f64 x (/.f64 (fabs.f64 (.f64 (+.f64 x y) (.f64 (-.f64 y x) #s(approx (pow (+ x y) -1) (/.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64)))
✓	99.7%	(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y)))))
▶	54.9%	(.f64 (/.f64 (fma.f64 (.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)) (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x)) (.f64 x x)) #s(literal 1 binary64)) (/.f64 (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) (fma.f64 (.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)) (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x)) (*.f64 x x))))
▶	46.5%	#s(approx (+ x (/ (/ 1 (/ (fabs (+ x y)) (fabs (+ (* (neg x) x) (* y y))))) 2)) (fma.f64 (fabs.f64 #s(approx (+ (* (neg y) y) (* x x)) (.f64 (.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y))) (/.f64 #s(literal 1/2 binary64) (fabs.f64 (+.f64 y x))) x))
▶	30.9%	#s(approx (+ x (/ (/ 1 (/ (fabs (+ x y)) (fabs (+ (* (neg x) x) (* y y))))) 2)) (fma.f64 (fabs.f64 #s(approx (+ (* (neg y) y) (* x x)) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) (fabs.f64 (+.f64 y x))) x))
✓	7.6%	#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64)))

Compiler

Compiled 333 to 206 computations (38.1% saved)

simplify159.0ms (2.7%)

Memory

20.7MiB live, 203.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64))
cost-diff	128	(fma.f64 (.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)) (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x)) (.f64 x x))
cost-diff	704	(/.f64 (fma.f64 (.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)) (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x)) (.f64 x x)) #s(literal 1 binary64))
cost-diff	5120	(.f64 (/.f64 (fma.f64 (.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)) (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x)) (.f64 x x)) #s(literal 1 binary64)) (/.f64 (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) (fma.f64 (.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)) (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x)) (*.f64 x x))))
cost-diff	0	(fma.f64 (fabs.f64 #s(approx (+ (* (neg y) y) (* x x)) (.f64 (.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y))) (/.f64 #s(literal 1/2 binary64) (fabs.f64 (+.f64 y x))) x)
cost-diff	0	#s(approx (+ x (/ (/ 1 (/ (fabs (+ x y)) (fabs (+ (* (neg x) x) (* y y))))) 2)) (fma.f64 (fabs.f64 #s(approx (+ (* (neg y) y) (* x x)) (.f64 (.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y))) (/.f64 #s(literal 1/2 binary64) (fabs.f64 (+.f64 y x))) x))
cost-diff	704	(.f64 (.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y)
cost-diff	896	(*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y)
cost-diff	0	(+.f64 x y)
cost-diff	128	(fabs.f64 (.f64 (+.f64 x y) (.f64 (-.f64 y x) #s(approx (pow (+ x y) -1) (/.f64 #s(literal 1 binary64) x)))))
cost-diff	128	(+.f64 x (/.f64 (fabs.f64 (.f64 (+.f64 x y) (.f64 (-.f64 y x) #s(approx (pow (+ x y) -1) (/.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64)))
cost-diff	384	(/.f64 (fabs.f64 (.f64 (+.f64 x y) (.f64 (-.f64 y x) #s(approx (pow (+ x y) -1) (/.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64))
cost-diff	0	#s(approx (+ (* (neg y) y) (* x x)) (*.f64 x x))
cost-diff	0	(fabs.f64 #s(approx (+ (* (neg y) y) (* x x)) (*.f64 x x)))
cost-diff	0	(fma.f64 (fabs.f64 #s(approx (+ (* (neg y) y) (* x x)) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) (fabs.f64 (+.f64 y x))) x)
cost-diff	0	#s(approx (+ x (/ (/ 1 (/ (fabs (+ x y)) (fabs (+ (* (neg x) x) (* y y))))) 2)) (fma.f64 (fabs.f64 #s(approx (+ (* (neg y) y) (* x x)) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) (fabs.f64 (+.f64 y x))) x))
cost-diff	0	#s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y))
cost-diff	0	(fabs.f64 #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)))
cost-diff	0	(fma.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y))) #s(literal 1/2 binary64) x)
cost-diff	1024	(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)

Rules

11 846×	`lower-fma.f32`
11 832×	`lower-fma.f64`
4 216×	`lower-*.f32`
4 200×	`lower-*.f64`
2 296×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	598
0	102	636
1	176	622
2	352	622
3	982	546
4	3459	478
5	7039	478
0	8285	474

Stop Event

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

Calls

Call 1

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

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

localize238.0ms (4.1%)

Memory

21.8MiB live, 257.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.05078125	(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x))
accuracy	0.08984375	(fma.f64 (.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)) (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x)) (.f64 x x))
accuracy	27.286488679495406	(/.f64 (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) (fma.f64 (.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)) (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x)) (.f64 x x)))
accuracy	27.335913894837667	(.f64 (/.f64 (fma.f64 (.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)) (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x)) (.f64 x x)) #s(literal 1 binary64)) (/.f64 (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) (fma.f64 (.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)) (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x)) (*.f64 x x))))
accuracy	0.1171875	(fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64))
accuracy	2.6626857271231255	(.f64 (.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y)
accuracy	4.051695596080037	(*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y)
accuracy	27.420330433531596	(fma.f64 (fabs.f64 #s(approx (+ (* (neg y) y) (* x x)) (.f64 (.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y))) (/.f64 #s(literal 1/2 binary64) (fabs.f64 (+.f64 y x))) x)
accuracy	0	(fabs.f64 (.f64 (+.f64 x y) (.f64 (-.f64 y x) #s(approx (pow (+ x y) -1) (/.f64 #s(literal 1 binary64) x)))))
accuracy	0.04296875	(+.f64 x (/.f64 (fabs.f64 (.f64 (+.f64 x y) (.f64 (-.f64 y x) #s(approx (pow (+ x y) -1) (/.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64)))
accuracy	0.1484375	(*.f64 (-.f64 y x) #s(approx (pow (+ x y) -1) (/.f64 #s(literal 1 binary64) x)))
accuracy	30.763636951408916	#s(approx (pow (+ x y) -1) (/.f64 #s(literal 1 binary64) x))
accuracy	0	#s(approx (+ x (/ (/ 1 (/ (fabs (+ x y)) (fabs (+ (* (neg x) x) (* y y))))) 2)) (fma.f64 (fabs.f64 #s(approx (+ (* (neg y) y) (* x x)) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) (fabs.f64 (+.f64 y x))) x))
accuracy	0.01171875	(/.f64 #s(literal 1/2 binary64) (fabs.f64 (+.f64 y x)))
accuracy	27.420330433531596	(fma.f64 (fabs.f64 #s(approx (+ (* (neg y) y) (* x x)) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) (fabs.f64 (+.f64 y x))) x)
accuracy	28.838859205695034	#s(approx (+ (* (neg y) y) (* x x)) (*.f64 x x))
accuracy	0	(fabs.f64 #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)))
accuracy	0	#s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y))
accuracy	0.04296875	(fma.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y))) #s(literal 1/2 binary64) x)
accuracy	7.97243102331669	(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)

Samples

160.0ms	222×	0	valid
13.0ms	8×	3	valid
11.0ms	16×	1	valid
10.0ms	10×	2	valid

Compiler

Compiled 468 to 54 computations (88.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 167.0ms

ival-pow: 83.0ms (49.7% of total)

ival-div: 23.0ms (13.8% of total)

ival-mult: 23.0ms (13.8% of total)

ival-add: 18.0ms (10.8% of total)

ival-fabs: 8.0ms (4.8% of total)

adjust: 5.0ms (3% of total)

ival-sub: 5.0ms (3% of total)

ival-neg: 2.0ms (1.2% of total)

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

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

exact: 0.0ms (0% of total)

series122.0ms (2.1%)

Memory

-36.7MiB live, 97.8MiB allocated

Counts

26 → 624

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
40.0ms	y	@	inf	((* (- (/ x y) 1) y) (+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (+ x (/ (/ 1 (/ (fabs (+ x y)) (fabs (+ (* (neg x) x) (* y y))))) 2)) (+ (* (fabs (+ (* (neg y) y) (* x x))) (/ 1/2 (fabs (+ y x)))) x) (fabs (+ (* (neg y) y) (* x x))) (+ (* (neg y) y) (* x x)) (/ (fabs (* (+ x y) (* (- y x) (pow (+ x y) -1)))) 2) (+ x (/ (fabs (* (+ x y) (* (- y x) (pow (+ x y) -1)))) 2)) (fabs (* (+ x y) (* (- y x) (pow (+ x y) -1)))) (+ x y) (* (+ (* (/ x y) (/ x y)) -1) y) (* (* (+ (* (/ x y) (/ x y)) -1) y) y) (+ x (/ (/ 1 (/ (fabs (+ x y)) (fabs (+ (* (neg x) x) (* y y))))) 2)) (+ (* (fabs (+ (* (neg y) y) (* x x))) (/ 1/2 (fabs (+ y x)))) x) (* (/ (+ (* (* (fabs (- x y)) 1/2) (+ (* (fabs (- x y)) 1/2) (neg x))) (* x x)) 1) (/ (+ (* (fabs (- x y)) 1/2) x) (+ (* (* (fabs (- x y)) 1/2) (+ (* (fabs (- x y)) 1/2) (neg x))) (* x x)))) (/ (+ (* (* (fabs (- x y)) 1/2) (+ (* (fabs (- x y)) 1/2) (neg x))) (* x x)) 1) (+ (* (* (fabs (- x y)) 1/2) (+ (* (fabs (- x y)) 1/2) (neg x))) (* x x)) (* (fabs (- x y)) 1/2) (/ 1/2 (fabs (+ y x))) (pow (+ x y) -1) (* (- y x) (pow (+ x y) -1)) (+ (* (/ x y) (/ x y)) -1) (/ (+ (* (fabs (- x y)) 1/2) x) (+ (* (* (fabs (- x y)) 1/2) (+ (* (fabs (- x y)) 1/2) (neg x))) (* x x))) (+ (* (fabs (- x y)) 1/2) (neg x)))
11.0ms	y	@	-inf	((* (- (/ x y) 1) y) (+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (+ x (/ (/ 1 (/ (fabs (+ x y)) (fabs (+ (* (neg x) x) (* y y))))) 2)) (+ (* (fabs (+ (* (neg y) y) (* x x))) (/ 1/2 (fabs (+ y x)))) x) (fabs (+ (* (neg y) y) (* x x))) (+ (* (neg y) y) (* x x)) (/ (fabs (* (+ x y) (* (- y x) (pow (+ x y) -1)))) 2) (+ x (/ (fabs (* (+ x y) (* (- y x) (pow (+ x y) -1)))) 2)) (fabs (* (+ x y) (* (- y x) (pow (+ x y) -1)))) (+ x y) (* (+ (* (/ x y) (/ x y)) -1) y) (* (* (+ (* (/ x y) (/ x y)) -1) y) y) (+ x (/ (/ 1 (/ (fabs (+ x y)) (fabs (+ (* (neg x) x) (* y y))))) 2)) (+ (* (fabs (+ (* (neg y) y) (* x x))) (/ 1/2 (fabs (+ y x)))) x) (* (/ (+ (* (* (fabs (- x y)) 1/2) (+ (* (fabs (- x y)) 1/2) (neg x))) (* x x)) 1) (/ (+ (* (fabs (- x y)) 1/2) x) (+ (* (* (fabs (- x y)) 1/2) (+ (* (fabs (- x y)) 1/2) (neg x))) (* x x)))) (/ (+ (* (* (fabs (- x y)) 1/2) (+ (* (fabs (- x y)) 1/2) (neg x))) (* x x)) 1) (+ (* (* (fabs (- x y)) 1/2) (+ (* (fabs (- x y)) 1/2) (neg x))) (* x x)) (* (fabs (- x y)) 1/2) (/ 1/2 (fabs (+ y x))) (pow (+ x y) -1) (* (- y x) (pow (+ x y) -1)) (+ (* (/ x y) (/ x y)) -1) (/ (+ (* (fabs (- x y)) 1/2) x) (+ (* (* (fabs (- x y)) 1/2) (+ (* (fabs (- x y)) 1/2) (neg x))) (* x x))) (+ (* (fabs (- x y)) 1/2) (neg x)))
8.0ms	x	@	inf	((* (- (/ x y) 1) y) (+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (+ x (/ (/ 1 (/ (fabs (+ x y)) (fabs (+ (* (neg x) x) (* y y))))) 2)) (+ (* (fabs (+ (* (neg y) y) (* x x))) (/ 1/2 (fabs (+ y x)))) x) (fabs (+ (* (neg y) y) (* x x))) (+ (* (neg y) y) (* x x)) (/ (fabs (* (+ x y) (* (- y x) (pow (+ x y) -1)))) 2) (+ x (/ (fabs (* (+ x y) (* (- y x) (pow (+ x y) -1)))) 2)) (fabs (* (+ x y) (* (- y x) (pow (+ x y) -1)))) (+ x y) (* (+ (* (/ x y) (/ x y)) -1) y) (* (* (+ (* (/ x y) (/ x y)) -1) y) y) (+ x (/ (/ 1 (/ (fabs (+ x y)) (fabs (+ (* (neg x) x) (* y y))))) 2)) (+ (* (fabs (+ (* (neg y) y) (* x x))) (/ 1/2 (fabs (+ y x)))) x) (* (/ (+ (* (* (fabs (- x y)) 1/2) (+ (* (fabs (- x y)) 1/2) (neg x))) (* x x)) 1) (/ (+ (* (fabs (- x y)) 1/2) x) (+ (* (* (fabs (- x y)) 1/2) (+ (* (fabs (- x y)) 1/2) (neg x))) (* x x)))) (/ (+ (* (* (fabs (- x y)) 1/2) (+ (* (fabs (- x y)) 1/2) (neg x))) (* x x)) 1) (+ (* (* (fabs (- x y)) 1/2) (+ (* (fabs (- x y)) 1/2) (neg x))) (* x x)) (* (fabs (- x y)) 1/2) (/ 1/2 (fabs (+ y x))) (pow (+ x y) -1) (* (- y x) (pow (+ x y) -1)) (+ (* (/ x y) (/ x y)) -1) (/ (+ (* (fabs (- x y)) 1/2) x) (+ (* (* (fabs (- x y)) 1/2) (+ (* (fabs (- x y)) 1/2) (neg x))) (* x x))) (+ (* (fabs (- x y)) 1/2) (neg x)))
4.0ms	y	@	0	((* (- (/ x y) 1) y) (+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (+ x (/ (/ 1 (/ (fabs (+ x y)) (fabs (+ (* (neg x) x) (* y y))))) 2)) (+ (* (fabs (+ (* (neg y) y) (* x x))) (/ 1/2 (fabs (+ y x)))) x) (fabs (+ (* (neg y) y) (* x x))) (+ (* (neg y) y) (* x x)) (/ (fabs (* (+ x y) (* (- y x) (pow (+ x y) -1)))) 2) (+ x (/ (fabs (* (+ x y) (* (- y x) (pow (+ x y) -1)))) 2)) (fabs (* (+ x y) (* (- y x) (pow (+ x y) -1)))) (+ x y) (* (+ (* (/ x y) (/ x y)) -1) y) (* (* (+ (* (/ x y) (/ x y)) -1) y) y) (+ x (/ (/ 1 (/ (fabs (+ x y)) (fabs (+ (* (neg x) x) (* y y))))) 2)) (+ (* (fabs (+ (* (neg y) y) (* x x))) (/ 1/2 (fabs (+ y x)))) x) (* (/ (+ (* (* (fabs (- x y)) 1/2) (+ (* (fabs (- x y)) 1/2) (neg x))) (* x x)) 1) (/ (+ (* (fabs (- x y)) 1/2) x) (+ (* (* (fabs (- x y)) 1/2) (+ (* (fabs (- x y)) 1/2) (neg x))) (* x x)))) (/ (+ (* (* (fabs (- x y)) 1/2) (+ (* (fabs (- x y)) 1/2) (neg x))) (* x x)) 1) (+ (* (* (fabs (- x y)) 1/2) (+ (* (fabs (- x y)) 1/2) (neg x))) (* x x)) (* (fabs (- x y)) 1/2) (/ 1/2 (fabs (+ y x))) (pow (+ x y) -1) (* (- y x) (pow (+ x y) -1)) (+ (* (/ x y) (/ x y)) -1) (/ (+ (* (fabs (- x y)) 1/2) x) (+ (* (* (fabs (- x y)) 1/2) (+ (* (fabs (- x y)) 1/2) (neg x))) (* x x))) (+ (* (fabs (- x y)) 1/2) (neg x)))
4.0ms	x	@	-inf	((* (- (/ x y) 1) y) (+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (+ x (/ (/ 1 (/ (fabs (+ x y)) (fabs (+ (* (neg x) x) (* y y))))) 2)) (+ (* (fabs (+ (* (neg y) y) (* x x))) (/ 1/2 (fabs (+ y x)))) x) (fabs (+ (* (neg y) y) (* x x))) (+ (* (neg y) y) (* x x)) (/ (fabs (* (+ x y) (* (- y x) (pow (+ x y) -1)))) 2) (+ x (/ (fabs (* (+ x y) (* (- y x) (pow (+ x y) -1)))) 2)) (fabs (* (+ x y) (* (- y x) (pow (+ x y) -1)))) (+ x y) (* (+ (* (/ x y) (/ x y)) -1) y) (* (* (+ (* (/ x y) (/ x y)) -1) y) y) (+ x (/ (/ 1 (/ (fabs (+ x y)) (fabs (+ (* (neg x) x) (* y y))))) 2)) (+ (* (fabs (+ (* (neg y) y) (* x x))) (/ 1/2 (fabs (+ y x)))) x) (* (/ (+ (* (* (fabs (- x y)) 1/2) (+ (* (fabs (- x y)) 1/2) (neg x))) (* x x)) 1) (/ (+ (* (fabs (- x y)) 1/2) x) (+ (* (* (fabs (- x y)) 1/2) (+ (* (fabs (- x y)) 1/2) (neg x))) (* x x)))) (/ (+ (* (* (fabs (- x y)) 1/2) (+ (* (fabs (- x y)) 1/2) (neg x))) (* x x)) 1) (+ (* (* (fabs (- x y)) 1/2) (+ (* (fabs (- x y)) 1/2) (neg x))) (* x x)) (* (fabs (- x y)) 1/2) (/ 1/2 (fabs (+ y x))) (pow (+ x y) -1) (* (- y x) (pow (+ x y) -1)) (+ (* (/ x y) (/ x y)) -1) (/ (+ (* (fabs (- x y)) 1/2) x) (+ (* (* (fabs (- x y)) 1/2) (+ (* (fabs (- x y)) 1/2) (neg x))) (* x x))) (+ (* (fabs (- x y)) 1/2) (neg x)))

simplify228.0ms (3.9%)

Memory

4.1MiB live, 244.3MiB allocated

Algorithm

1×	egg-herbie

Rules

11 864×	`lower-fma.f64`
11 864×	`lower-fma.f32`
4 418×	`lower-*.f64`
4 418×	`lower-*.f32`
3 798×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	476	6754
1	1448	6552
2	3778	6389
0	8581	6036

Stop Event

1×	iter limit
1×	node limit

Counts

624 → 598

Calls

Call 1

Inputs
x
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* 1/2 (fabs (- x y))))
(+ x (* 1/2 (fabs (- x y))))
(+ x (* 1/2 (fabs (- x y))))
(+ x (* 1/2 (fabs (- x y))))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
x
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* 1/2 (/ (fabs (+ (* -1 (pow x 2)) (pow y 2))) (fabs (+ x y)))))
(+ x (* 1/2 (/ (fabs (+ (* -1 (pow x 2)) (pow y 2))) (fabs (+ x y)))))
(+ x (* 1/2 (/ (fabs (+ (* -1 (pow x 2)) (pow y 2))) (fabs (+ x y)))))
(+ x (* 1/2 (/ (fabs (+ (* -1 (pow x 2)) (pow y 2))) (fabs (+ x y)))))
(+ x (* 1/2 (/ (fabs (+ (* -1 (pow y 2)) (pow x 2))) (fabs (+ x y)))))
(+ x (* 1/2 (/ (fabs (+ (* -1 (pow y 2)) (pow x 2))) (fabs (+ x y)))))
(+ x (* 1/2 (/ (fabs (+ (* -1 (pow y 2)) (pow x 2))) (fabs (+ x y)))))
(+ x (* 1/2 (/ (fabs (+ (* -1 (pow y 2)) (pow x 2))) (fabs (+ x y)))))
(fabs (+ (* -1 (pow y 2)) (pow x 2)))
(fabs (+ (* -1 (pow y 2)) (pow x 2)))
(fabs (+ (* -1 (pow y 2)) (pow x 2)))
(fabs (+ (* -1 (pow y 2)) (pow x 2)))
(pow x 2)
(+ (* -1 (pow y 2)) (pow x 2))
(+ (* -1 (pow y 2)) (pow x 2))
(+ (* -1 (pow y 2)) (pow x 2))
(* 1/2 (fabs (- y x)))
(* 1/2 (fabs (- y x)))
(* 1/2 (fabs (- y x)))
(* 1/2 (fabs (- y x)))
(+ x (* 1/2 (fabs (- y x))))
(+ x (* 1/2 (fabs (- y x))))
(+ x (* 1/2 (fabs (- y x))))
(+ x (* 1/2 (fabs (- y x))))
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
x
(+ x y)
(+ x y)
(+ x y)
(/ (pow x 2) y)
(/ (+ (* -1 (pow y 2)) (pow x 2)) y)
(/ (+ (* -1 (pow y 2)) (pow x 2)) y)
(/ (+ (* -1 (pow y 2)) (pow x 2)) y)
(pow x 2)
(+ (* -1 (pow y 2)) (pow x 2))
(+ (* -1 (pow y 2)) (pow x 2))
(+ (* -1 (pow y 2)) (pow x 2))
(+ x (* 1/2 (/ (fabs (+ (* -1 (pow x 2)) (pow y 2))) (fabs (+ x y)))))
(+ x (* 1/2 (/ (fabs (+ (* -1 (pow x 2)) (pow y 2))) (fabs (+ x y)))))
(+ x (* 1/2 (/ (fabs (+ (* -1 (pow x 2)) (pow y 2))) (fabs (+ x y)))))
(+ x (* 1/2 (/ (fabs (+ (* -1 (pow x 2)) (pow y 2))) (fabs (+ x y)))))
(+ x (* 1/2 (/ (fabs (+ (* -1 (pow y 2)) (pow x 2))) (fabs (+ x y)))))
(+ x (* 1/2 (/ (fabs (+ (* -1 (pow y 2)) (pow x 2))) (fabs (+ x y)))))
(+ x (* 1/2 (/ (fabs (+ (* -1 (pow y 2)) (pow x 2))) (fabs (+ x y)))))
(+ x (* 1/2 (/ (fabs (+ (* -1 (pow y 2)) (pow x 2))) (fabs (+ x y)))))
(+ x (* 1/2 (fabs (- x y))))
(+ x (* 1/2 (fabs (- x y))))
(+ x (* 1/2 (fabs (- x y))))
(+ x (* 1/2 (fabs (- x y))))
(+ (* 1/2 (* (fabs (- x y)) (- (* 1/2 (fabs (- x y))) x))) (pow x 2))
(+ (* 1/2 (* (fabs (- x y)) (- (* 1/2 (fabs (- x y))) x))) (pow x 2))
(+ (* 1/2 (* (fabs (- x y)) (- (* 1/2 (fabs (- x y))) x))) (pow x 2))
(+ (* 1/2 (* (fabs (- x y)) (- (* 1/2 (fabs (- x y))) x))) (pow x 2))
(+ (* 1/2 (* (fabs (- x y)) (- (* 1/2 (fabs (- x y))) x))) (pow x 2))
(+ (* 1/2 (* (fabs (- x y)) (- (* 1/2 (fabs (- x y))) x))) (pow x 2))
(+ (* 1/2 (* (fabs (- x y)) (- (* 1/2 (fabs (- x y))) x))) (pow x 2))
(+ (* 1/2 (* (fabs (- x y)) (- (* 1/2 (fabs (- x y))) x))) (pow x 2))
(* 1/2 (fabs (- x y)))
(* 1/2 (fabs (- x y)))
(* 1/2 (fabs (- x y)))
(* 1/2 (fabs (- x y)))
(/ 1/2 (fabs (+ x y)))
(/ 1/2 (fabs (+ x y)))
(/ 1/2 (fabs (+ x y)))
(/ 1/2 (fabs (+ x y)))
(/ 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
(- (* 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)
(/ (pow x 2) (pow y 2))
(/ (+ (* -1 (pow y 2)) (pow x 2)) (pow y 2))
(/ (+ (* -1 (pow y 2)) (pow x 2)) (pow y 2))
(/ (+ (* -1 (pow y 2)) (pow x 2)) (pow y 2))
(/ (+ x (* 1/2 (fabs (- x y)))) (+ (* 1/2 (* (fabs (- x y)) (- (* 1/2 (fabs (- x y))) x))) (pow x 2)))
(/ (+ x (* 1/2 (fabs (- x y)))) (+ (* 1/2 (* (fabs (- x y)) (- (* 1/2 (fabs (- x y))) x))) (pow x 2)))
(/ (+ x (* 1/2 (fabs (- x y)))) (+ (* 1/2 (* (fabs (- x y)) (- (* 1/2 (fabs (- x y))) x))) (pow x 2)))
(/ (+ x (* 1/2 (fabs (- x y)))) (+ (* 1/2 (* (fabs (- x y)) (- (* 1/2 (fabs (- x y))) x))) (pow x 2)))
(- (* 1/2 (fabs (- x y))) x)
(- (* 1/2 (fabs (- x y))) x)
(- (* 1/2 (fabs (- x y))) x)
(- (* 1/2 (fabs (- x y))) x)
(* -1 y)
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(+ x (* 1/2 (fabs (- x y))))
(+ x (* 1/2 (fabs (- x y))))
(+ x (* 1/2 (fabs (- x y))))
(+ x (* 1/2 (fabs (- x y))))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
(* -1 y)
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(+ x (* 1/2 (/ (fabs (+ (* -1 (pow x 2)) (pow y 2))) (fabs (+ x y)))))
(+ x (* 1/2 (/ (fabs (+ (* -1 (pow x 2)) (pow y 2))) (fabs (+ x y)))))
(+ x (* 1/2 (/ (fabs (+ (* -1 (pow x 2)) (pow y 2))) (fabs (+ x y)))))
(+ x (* 1/2 (/ (fabs (+ (* -1 (pow x 2)) (pow y 2))) (fabs (+ x y)))))
(+ x (* 1/2 (/ (fabs (- (pow x 2) (pow y 2))) (fabs (+ x y)))))
(+ x (* 1/2 (/ (fabs (- (pow x 2) (pow y 2))) (fabs (+ x y)))))
(+ x (* 1/2 (/ (fabs (- (pow x 2) (pow y 2))) (fabs (+ x y)))))
(+ x (* 1/2 (/ (fabs (- (pow x 2) (pow y 2))) (fabs (+ x y)))))
(fabs (- (pow x 2) (pow y 2)))
(fabs (- (pow x 2) (pow y 2)))
(fabs (- (pow x 2) (pow y 2)))
(fabs (- (pow x 2) (pow y 2)))
(* -1 (pow y 2))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))
(* 1/2 (fabs (- y x)))
(* 1/2 (fabs (- y x)))
(* 1/2 (fabs (- y x)))
(* 1/2 (fabs (- y x)))
(+ x (* 1/2 (fabs (- y x))))
(+ x (* 1/2 (fabs (- y x))))
(+ x (* 1/2 (fabs (- y x))))
(+ x (* 1/2 (fabs (- y x))))
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
y
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(* -1 y)
(* y (- (/ (pow x 2) (pow y 2)) 1))
(* y (- (/ (pow x 2) (pow y 2)) 1))
(* y (- (/ (pow x 2) (pow y 2)) 1))
(* -1 (pow y 2))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))
(+ x (* 1/2 (/ (fabs (+ (* -1 (pow x 2)) (pow y 2))) (fabs (+ x y)))))
(+ x (* 1/2 (/ (fabs (+ (* -1 (pow x 2)) (pow y 2))) (fabs (+ x y)))))
(+ x (* 1/2 (/ (fabs (+ (* -1 (pow x 2)) (pow y 2))) (fabs (+ x y)))))
(+ x (* 1/2 (/ (fabs (+ (* -1 (pow x 2)) (pow y 2))) (fabs (+ x y)))))
(+ x (* 1/2 (/ (fabs (- (pow x 2) (pow y 2))) (fabs (+ x y)))))
(+ x (* 1/2 (/ (fabs (- (pow x 2) (pow y 2))) (fabs (+ x y)))))
(+ x (* 1/2 (/ (fabs (- (pow x 2) (pow y 2))) (fabs (+ x y)))))
(+ x (* 1/2 (/ (fabs (- (pow x 2) (pow y 2))) (fabs (+ x y)))))
(+ x (* 1/2 (fabs (- x y))))
(+ x (* 1/2 (fabs (- x y))))
(+ x (* 1/2 (fabs (- x y))))
(+ x (* 1/2 (fabs (- x y))))
(+ (* 1/2 (* (fabs (- x y)) (- (* 1/2 (fabs (- x y))) x))) (pow x 2))
(+ (* 1/2 (* (fabs (- x y)) (- (* 1/2 (fabs (- x y))) x))) (pow x 2))
(+ (* 1/2 (* (fabs (- x y)) (- (* 1/2 (fabs (- x y))) x))) (pow x 2))
(+ (* 1/2 (* (fabs (- x y)) (- (* 1/2 (fabs (- x y))) x))) (pow x 2))
(+ (* 1/2 (* (fabs (- x y)) (- (* 1/2 (fabs (- x y))) x))) (pow x 2))
(+ (* 1/2 (* (fabs (- x y)) (- (* 1/2 (fabs (- x y))) x))) (pow x 2))
(+ (* 1/2 (* (fabs (- x y)) (- (* 1/2 (fabs (- x y))) x))) (pow x 2))
(+ (* 1/2 (* (fabs (- x y)) (- (* 1/2 (fabs (- x y))) x))) (pow x 2))
(* 1/2 (fabs (- x y)))
(* 1/2 (fabs (- x y)))
(* 1/2 (fabs (- x y)))
(* 1/2 (fabs (- x y)))
(/ 1/2 (fabs (+ x y)))
(/ 1/2 (fabs (+ x y)))
(/ 1/2 (fabs (+ x y)))
(/ 1/2 (fabs (+ x y)))
(/ 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
(- (+ 1 (* -1 (/ x y))) (/ x y))
(- (+ 1 (+ (* -1 (/ x y)) (* -1 (/ (* x (- (* -1 x) x)) (pow y 2))))) (/ x y))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow x 2) (- (* -1 x) x)) (pow y 3)))) (+ (/ x y) (/ (* x (- (* -1 x) x)) (pow y 2))))
-1
(- (/ (pow x 2) (pow y 2)) 1)
(- (/ (pow x 2) (pow y 2)) 1)
(- (/ (pow x 2) (pow y 2)) 1)
(/ (+ x (* 1/2 (fabs (- x y)))) (+ (* 1/2 (* (fabs (- x y)) (- (* 1/2 (fabs (- x y))) x))) (pow x 2)))
(/ (+ x (* 1/2 (fabs (- x y)))) (+ (* 1/2 (* (fabs (- x y)) (- (* 1/2 (fabs (- x y))) x))) (pow x 2)))
(/ (+ x (* 1/2 (fabs (- x y)))) (+ (* 1/2 (* (fabs (- x y)) (- (* 1/2 (fabs (- x y))) x))) (pow x 2)))
(/ (+ x (* 1/2 (fabs (- x y)))) (+ (* 1/2 (* (fabs (- x y)) (- (* 1/2 (fabs (- x y))) x))) (pow x 2)))
(- (* 1/2 (fabs (- x y))) x)
(- (* 1/2 (fabs (- x y))) x)
(- (* 1/2 (fabs (- x y))) x)
(- (* 1/2 (fabs (- x y))) x)
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(+ x (* 1/2 (fabs (+ x (* -1 y)))))
(+ x (* 1/2 (fabs (+ x (* -1 y)))))
(+ x (* 1/2 (fabs (+ x (* -1 y)))))
(+ x (* 1/2 (fabs (+ x (* -1 y)))))
(fabs (+ x (* -1 y)))
(fabs (+ x (* -1 y)))
(fabs (+ x (* -1 y)))
(fabs (+ x (* -1 y)))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(+ x (* 1/2 (/ (fabs (+ (* -1 (pow x 2)) (pow y 2))) (fabs (- x (* -1 y))))))
(+ x (* 1/2 (/ (fabs (+ (* -1 (pow x 2)) (pow y 2))) (fabs (- x (* -1 y))))))
(+ x (* 1/2 (/ (fabs (+ (* -1 (pow x 2)) (pow y 2))) (fabs (- x (* -1 y))))))
(+ x (* 1/2 (/ (fabs (+ (* -1 (pow x 2)) (pow y 2))) (fabs (- x (* -1 y))))))
(+ x (* 1/2 (/ (fabs (- (pow x 2) (pow y 2))) (fabs (- x (* -1 y))))))
(+ x (* 1/2 (/ (fabs (- (pow x 2) (pow y 2))) (fabs (- x (* -1 y))))))
(+ x (* 1/2 (/ (fabs (- (pow x 2) (pow y 2))) (fabs (- x (* -1 y))))))
(+ x (* 1/2 (/ (fabs (- (pow x 2) (pow y 2))) (fabs (- x (* -1 y))))))
(fabs (- (pow x 2) (pow y 2)))
(fabs (- (pow x 2) (pow y 2)))
(fabs (- (pow x 2) (pow y 2)))
(fabs (- (pow x 2) (pow y 2)))
(* -1 (pow y 2))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))
(* 1/2 (fabs (* -1 (+ x (* -1 y)))))
(* 1/2 (fabs (* -1 (+ x (* -1 y)))))
(* 1/2 (fabs (* -1 (+ x (* -1 y)))))
(* 1/2 (fabs (* -1 (+ x (* -1 y)))))
(+ x (* 1/2 (fabs (* -1 (+ x (* -1 y))))))
(+ x (* 1/2 (fabs (* -1 (+ x (* -1 y))))))
(+ x (* 1/2 (fabs (* -1 (+ x (* -1 y))))))
(+ x (* 1/2 (fabs (* -1 (+ x (* -1 y))))))
(fabs (* -1 (+ x (* -1 y))))
(fabs (* -1 (+ x (* -1 y))))
(fabs (* -1 (+ x (* -1 y))))
(fabs (* -1 (+ x (* -1 y))))
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ (pow x 2) (pow y 2))))))
(* -1 (* y (+ 1 (* -1 (/ (pow x 2) (pow y 2))))))
(* -1 (* y (+ 1 (* -1 (/ (pow x 2) (pow y 2))))))
(* -1 (pow y 2))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))
(+ x (* 1/2 (/ (fabs (+ (* -1 (pow x 2)) (pow y 2))) (fabs (- x (* -1 y))))))
(+ x (* 1/2 (/ (fabs (+ (* -1 (pow x 2)) (pow y 2))) (fabs (- x (* -1 y))))))
(+ x (* 1/2 (/ (fabs (+ (* -1 (pow x 2)) (pow y 2))) (fabs (- x (* -1 y))))))
(+ x (* 1/2 (/ (fabs (+ (* -1 (pow x 2)) (pow y 2))) (fabs (- x (* -1 y))))))
(+ x (* 1/2 (/ (fabs (- (pow x 2) (pow y 2))) (fabs (- x (* -1 y))))))
(+ x (* 1/2 (/ (fabs (- (pow x 2) (pow y 2))) (fabs (- x (* -1 y))))))
(+ x (* 1/2 (/ (fabs (- (pow x 2) (pow y 2))) (fabs (- x (* -1 y))))))
(+ x (* 1/2 (/ (fabs (- (pow x 2) (pow y 2))) (fabs (- x (* -1 y))))))
(+ x (* 1/2 (fabs (+ x (* -1 y)))))
(+ x (* 1/2 (fabs (+ x (* -1 y)))))
(+ x (* 1/2 (fabs (+ x (* -1 y)))))
(+ x (* 1/2 (fabs (+ x (* -1 y)))))
(+ (* 1/2 (* (fabs (+ x (* -1 y))) (- (* 1/2 (fabs (+ x (* -1 y)))) x))) (pow x 2))
(+ (* 1/2 (* (fabs (+ x (* -1 y))) (- (* 1/2 (fabs (+ x (* -1 y)))) x))) (pow x 2))
(+ (* 1/2 (* (fabs (+ x (* -1 y))) (- (* 1/2 (fabs (+ x (* -1 y)))) x))) (pow x 2))
(+ (* 1/2 (* (fabs (+ x (* -1 y))) (- (* 1/2 (fabs (+ x (* -1 y)))) x))) (pow x 2))
(+ (* 1/2 (* (fabs (+ x (* -1 y))) (- (* 1/2 (fabs (+ x (* -1 y)))) x))) (pow x 2))
(+ (* 1/2 (* (fabs (+ x (* -1 y))) (- (* 1/2 (fabs (+ x (* -1 y)))) x))) (pow x 2))
(+ (* 1/2 (* (fabs (+ x (* -1 y))) (- (* 1/2 (fabs (+ x (* -1 y)))) x))) (pow x 2))
(+ (* 1/2 (* (fabs (+ x (* -1 y))) (- (* 1/2 (fabs (+ x (* -1 y)))) x))) (pow x 2))
(* 1/2 (fabs (+ x (* -1 y))))
(* 1/2 (fabs (+ x (* -1 y))))
(* 1/2 (fabs (+ x (* -1 y))))
(* 1/2 (fabs (+ x (* -1 y))))
(/ 1/2 (fabs (- x (* -1 y))))
(/ 1/2 (fabs (- x (* -1 y))))
(/ 1/2 (fabs (- x (* -1 y))))
(/ 1/2 (fabs (- x (* -1 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))
1
(- (+ 1 (* -1 (/ x y))) (/ x y))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 x) x)) (/ (* x (- (* -1 x) x)) y)) y)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 x) x)) (* -1 (/ (+ (* -1 (* x (- (* -1 x) x))) (/ (* (pow x 2) (- (* -1 x) x)) y)) y))) y)))
-1
(- (/ (pow x 2) (pow y 2)) 1)
(- (/ (pow x 2) (pow y 2)) 1)
(- (/ (pow x 2) (pow y 2)) 1)
(/ (+ x (* 1/2 (fabs (+ x (* -1 y))))) (+ (* 1/2 (* (fabs (+ x (* -1 y))) (- (* 1/2 (fabs (+ x (* -1 y)))) x))) (pow x 2)))
(/ (+ x (* 1/2 (fabs (+ x (* -1 y))))) (+ (* 1/2 (* (fabs (+ x (* -1 y))) (- (* 1/2 (fabs (+ x (* -1 y)))) x))) (pow x 2)))
(/ (+ x (* 1/2 (fabs (+ x (* -1 y))))) (+ (* 1/2 (* (fabs (+ x (* -1 y))) (- (* 1/2 (fabs (+ x (* -1 y)))) x))) (pow x 2)))
(/ (+ x (* 1/2 (fabs (+ x (* -1 y))))) (+ (* 1/2 (* (fabs (+ x (* -1 y))) (- (* 1/2 (fabs (+ x (* -1 y)))) x))) (pow x 2)))
(- (* 1/2 (fabs (+ x (* -1 y)))) x)
(- (* 1/2 (fabs (+ x (* -1 y)))) x)
(- (* 1/2 (fabs (+ x (* -1 y)))) x)
(- (* 1/2 (fabs (+ x (* -1 y)))) x)
(* -1 y)
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* -1 y))
(* 1/2 (fabs (- x y)))
(+ x (* 1/2 (fabs (- x y))))
(+ x (* 1/2 (fabs (- x y))))
(+ x (* 1/2 (fabs (- x y))))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
(* -1 y)
(- x y)
(- x y)
(- x y)
(* 1/2 (/ (fabs (+ (* -1 (pow x 2)) (pow y 2))) (fabs (+ x y))))
(+ x (* 1/2 (/ (fabs (+ (* -1 (pow x 2)) (pow y 2))) (fabs (+ x y)))))
(+ x (* 1/2 (/ (fabs (+ (* -1 (pow x 2)) (pow y 2))) (fabs (+ x y)))))
(+ x (* 1/2 (/ (fabs (+ (* -1 (pow x 2)) (pow y 2))) (fabs (+ x y)))))
(* 1/2 (/ (fabs (+ (* -1 (pow y 2)) (pow x 2))) (fabs (+ x y))))
(+ x (* 1/2 (/ (fabs (+ (* -1 (pow y 2)) (pow x 2))) (fabs (+ x y)))))
(+ x (* 1/2 (/ (fabs (+ (* -1 (pow y 2)) (pow x 2))) (fabs (+ x y)))))
(+ x (* 1/2 (/ (fabs (+ (* -1 (pow y 2)) (pow x 2))) (fabs (+ x y)))))
(fabs (+ (* -1 (pow y 2)) (pow x 2)))
(fabs (+ (* -1 (pow y 2)) (pow x 2)))
(fabs (+ (* -1 (pow y 2)) (pow x 2)))
(fabs (+ (* -1 (pow y 2)) (pow x 2)))
(* -1 (pow y 2))
(+ (* -1 (pow y 2)) (pow x 2))
(+ (* -1 (pow y 2)) (pow x 2))
(+ (* -1 (pow y 2)) (pow x 2))
(* 1/2 (fabs (- y x)))
(* 1/2 (fabs (- y x)))
(* 1/2 (fabs (- y x)))
(* 1/2 (fabs (- y x)))
(* 1/2 (fabs (- y x)))
(+ x (* 1/2 (fabs (- y x))))
(+ x (* 1/2 (fabs (- y x))))
(+ x (* 1/2 (fabs (- y x))))
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
y
(+ x y)
(+ x y)
(+ x y)
(* -1 y)
(+ (* -1 y) (/ (pow x 2) y))
(+ (* -1 y) (/ (pow x 2) y))
(+ (* -1 y) (/ (pow x 2) y))
(* -1 (pow y 2))
(+ (* -1 (pow y 2)) (pow x 2))
(+ (* -1 (pow y 2)) (pow x 2))
(+ (* -1 (pow y 2)) (pow x 2))
(* 1/2 (/ (fabs (+ (* -1 (pow x 2)) (pow y 2))) (fabs (+ x y))))
(+ x (* 1/2 (/ (fabs (+ (* -1 (pow x 2)) (pow y 2))) (fabs (+ x y)))))
(+ x (* 1/2 (/ (fabs (+ (* -1 (pow x 2)) (pow y 2))) (fabs (+ x y)))))
(+ x (* 1/2 (/ (fabs (+ (* -1 (pow x 2)) (pow y 2))) (fabs (+ x y)))))
(* 1/2 (/ (fabs (+ (* -1 (pow y 2)) (pow x 2))) (fabs (+ x y))))
(+ x (* 1/2 (/ (fabs (+ (* -1 (pow y 2)) (pow x 2))) (fabs (+ x y)))))
(+ x (* 1/2 (/ (fabs (+ (* -1 (pow y 2)) (pow x 2))) (fabs (+ x y)))))
(+ x (* 1/2 (/ (fabs (+ (* -1 (pow y 2)) (pow x 2))) (fabs (+ x y)))))
(* 1/2 (fabs (- x y)))
(+ x (* 1/2 (fabs (- x y))))
(+ x (* 1/2 (fabs (- x y))))
(+ x (* 1/2 (fabs (- x y))))
(* 1/4 (pow (fabs (- x y)) 2))
(+ (* -1/2 (* x (fabs (- x y)))) (* 1/4 (pow (fabs (- x y)) 2)))
(+ (* 1/4 (pow (fabs (- x y)) 2)) (* x (+ x (* -1/2 (fabs (- x y))))))
(+ (* 1/4 (pow (fabs (- x y)) 2)) (* x (+ x (* -1/2 (fabs (- x y))))))
(* 1/4 (pow (fabs (- x y)) 2))
(+ (* -1/2 (* x (fabs (- x y)))) (* 1/4 (pow (fabs (- x y)) 2)))
(+ (* 1/4 (pow (fabs (- x y)) 2)) (* x (+ x (* -1/2 (fabs (- x y))))))
(+ (* 1/4 (pow (fabs (- x y)) 2)) (* x (+ x (* -1/2 (fabs (- x y))))))
(* 1/2 (fabs (- x y)))
(* 1/2 (fabs (- x y)))
(* 1/2 (fabs (- x y)))
(* 1/2 (fabs (- x y)))
(/ 1/2 (fabs (+ x y)))
(/ 1/2 (fabs (+ x y)))
(/ 1/2 (fabs (+ x y)))
(/ 1/2 (fabs (+ 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
(+ 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
(- (/ (pow x 2) (pow y 2)) 1)
(- (/ (pow x 2) (pow y 2)) 1)
(- (/ (pow x 2) (pow y 2)) 1)
(/ 2 (fabs (- x y)))
(+ (* 8 (/ x (pow (fabs (- x y)) 2))) (* 2 (/ 1 (fabs (- x y)))))
(+ (* x (+ (* 8 (/ x (pow (fabs (- x y)) 3))) (* 8 (/ 1 (pow (fabs (- x y)) 2))))) (* 2 (/ 1 (fabs (- x y)))))
(+ (* x (+ (* x (+ (* -16 (/ x (pow (fabs (- x y)) 4))) (* 8 (/ 1 (pow (fabs (- x y)) 3))))) (* 8 (/ 1 (pow (fabs (- x y)) 2))))) (* 2 (/ 1 (fabs (- x y)))))
(* 1/2 (fabs (- x y)))
(+ (* -1 x) (* 1/2 (fabs (- x y))))
(+ (* -1 x) (* 1/2 (fabs (- x y))))
(+ (* -1 x) (* 1/2 (fabs (- x y))))
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
x
(* x (+ 1 (* 1/2 (/ (fabs (- x y)) x))))
(* x (+ 1 (* 1/2 (/ (fabs (- x y)) x))))
(* x (+ 1 (* 1/2 (/ (fabs (- x y)) x))))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
x
(* x (+ 1 (* 1/2 (/ (fabs (- (pow y 2) (pow x 2))) (* x (fabs (+ x y)))))))
(* x (+ 1 (* 1/2 (/ (fabs (- (pow y 2) (pow x 2))) (* x (fabs (+ x y)))))))
(* x (+ 1 (* 1/2 (/ (fabs (- (pow y 2) (pow x 2))) (* x (fabs (+ x y)))))))
x
(* x (+ 1 (* 1/2 (/ (fabs (+ (* -1 (pow y 2)) (pow x 2))) (* x (fabs (+ x y)))))))
(* x (+ 1 (* 1/2 (/ (fabs (+ (* -1 (pow y 2)) (pow x 2))) (* x (fabs (+ x y)))))))
(* x (+ 1 (* 1/2 (/ (fabs (+ (* -1 (pow y 2)) (pow x 2))) (* x (fabs (+ x y)))))))
(fabs (+ (* -1 (pow y 2)) (pow x 2)))
(fabs (+ (* -1 (pow y 2)) (pow x 2)))
(fabs (+ (* -1 (pow y 2)) (pow x 2)))
(fabs (+ (* -1 (pow y 2)) (pow x 2)))
(pow x 2)
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
(* 1/2 (fabs (- y x)))
(* 1/2 (fabs (- y x)))
(* 1/2 (fabs (- y x)))
(* 1/2 (fabs (- y x)))
x
(* x (+ 1 (* 1/2 (/ (fabs (- y x)) x))))
(* x (+ 1 (* 1/2 (/ (fabs (- y x)) x))))
(* x (+ 1 (* 1/2 (/ (fabs (- y x)) x))))
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
x
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
(/ (pow x 2) y)
(* (pow x 2) (+ (* -1 (/ y (pow x 2))) (/ 1 y)))
(* (pow x 2) (+ (* -1 (/ y (pow x 2))) (/ 1 y)))
(* (pow x 2) (+ (* -1 (/ y (pow x 2))) (/ 1 y)))
(pow x 2)
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
x
(* x (+ 1 (* 1/2 (/ (fabs (- (pow y 2) (pow x 2))) (* x (fabs (+ x y)))))))
(* x (+ 1 (* 1/2 (/ (fabs (- (pow y 2) (pow x 2))) (* x (fabs (+ x y)))))))
(* x (+ 1 (* 1/2 (/ (fabs (- (pow y 2) (pow x 2))) (* x (fabs (+ x y)))))))
x
(* x (+ 1 (* 1/2 (/ (fabs (+ (* -1 (pow y 2)) (pow x 2))) (* x (fabs (+ x y)))))))
(* x (+ 1 (* 1/2 (/ (fabs (+ (* -1 (pow y 2)) (pow x 2))) (* x (fabs (+ x y)))))))
(* x (+ 1 (* 1/2 (/ (fabs (+ (* -1 (pow y 2)) (pow x 2))) (* x (fabs (+ x y)))))))
x
(* x (+ 1 (* 1/2 (/ (fabs (- x y)) x))))
(* x (+ 1 (* 1/2 (/ (fabs (- x y)) x))))
(* x (+ 1 (* 1/2 (/ (fabs (- x y)) x))))
(pow x 2)
(* (pow x 2) (+ 1 (* -1/2 (/ (fabs (- x y)) x))))
(* (pow x 2) (+ 1 (+ (* -1/2 (/ (fabs (- x y)) x)) (* 1/4 (/ (pow (fabs (- x y)) 2) (pow x 2))))))
(* (pow x 2) (+ 1 (+ (* -1/2 (/ (fabs (- x y)) x)) (* 1/4 (/ (pow (fabs (- x y)) 2) (pow x 2))))))
(pow x 2)
(* (pow x 2) (+ 1 (* -1/2 (/ (fabs (- x y)) x))))
(* (pow x 2) (+ 1 (+ (* -1/2 (/ (fabs (- x y)) x)) (* 1/4 (/ (pow (fabs (- x y)) 2) (pow x 2))))))
(* (pow x 2) (+ 1 (+ (* -1/2 (/ (fabs (- x y)) x)) (* 1/4 (/ (pow (fabs (- x y)) 2) (pow x 2))))))
(* 1/2 (fabs (- x y)))
(* 1/2 (fabs (- x y)))
(* 1/2 (fabs (- x y)))
(* 1/2 (fabs (- x y)))
(/ 1/2 (fabs (+ x y)))
(/ 1/2 (fabs (+ x y)))
(/ 1/2 (fabs (+ x y)))
(/ 1/2 (fabs (+ x 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
(- (/ y x) (+ 1 (* -1 (/ y x))))
(- (+ (* -1 (/ (* y (- y (* -1 y))) (pow x 2))) (/ y x)) (+ 1 (* -1 (/ y x))))
(- (+ (/ y x) (/ (* (pow y 2) (- y (* -1 y))) (pow x 3))) (+ 1 (+ (* -1 (/ y x)) (/ (* y (- y (* -1 y))) (pow x 2)))))
(/ (pow x 2) (pow y 2))
(* (pow x 2) (- (/ 1 (pow y 2)) (/ 1 (pow x 2))))
(* (pow x 2) (- (/ 1 (pow y 2)) (/ 1 (pow x 2))))
(* (pow x 2) (- (/ 1 (pow y 2)) (/ 1 (pow x 2))))
(/ 1 x)
(/ (- (+ 1 (* 1/2 (/ (fabs (- x y)) x))) (* -1/2 (/ (fabs (- x y)) x))) x)
(/ (- (+ 1 (+ (* -1 (/ (+ (* -1/2 (* (fabs (- x y)) (- (* 1/2 (fabs (- x y))) (* -1/2 (fabs (- x y)))))) (* 1/4 (pow (fabs (- x y)) 2))) (pow x 2))) (* 1/2 (/ (fabs (- x y)) x)))) (* -1/2 (/ (fabs (- x y)) x))) x)
(/ (- (+ 1 (+ (* -1 (/ (+ (* 1/4 (* (pow (fabs (- x y)) 2) (- (* 1/2 (fabs (- x y))) (* -1/2 (fabs (- x y)))))) (* 1/2 (* (fabs (- x y)) (+ (* -1/2 (* (fabs (- x y)) (- (* 1/2 (fabs (- x y))) (* -1/2 (fabs (- x y)))))) (* 1/4 (pow (fabs (- x y)) 2)))))) (pow x 3))) (* 1/2 (/ (fabs (- x y)) x)))) (+ (* -1/2 (/ (fabs (- x y)) x)) (+ (* -1/2 (/ (* (fabs (- x y)) (- (* 1/2 (fabs (- x y))) (* -1/2 (fabs (- x y))))) (pow x 2))) (* 1/4 (/ (pow (fabs (- x y)) 2) (pow x 2)))))) x)
(* -1 x)
(* x (- (* 1/2 (/ (fabs (- x y)) x)) 1))
(* x (- (* 1/2 (/ (fabs (- x y)) x)) 1))
(* x (- (* 1/2 (/ (fabs (- x y)) x)) 1))
x
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
x
(* -1 (* x (- (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1)))
(* -1 (* x (- (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1)))
(* -1 (* x (- (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1)))
(fabs (neg (+ y (* -1 x))))
(fabs (neg (+ y (* -1 x))))
(fabs (neg (+ y (* -1 x))))
(fabs (neg (+ y (* -1 x))))
x
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
x
(* -1 (* x (- (* -1/2 (/ (fabs (- (pow y 2) (pow x 2))) (* x (fabs (- y (* -1 x)))))) 1)))
(* -1 (* x (- (* -1/2 (/ (fabs (- (pow y 2) (pow x 2))) (* x (fabs (- y (* -1 x)))))) 1)))
(* -1 (* x (- (* -1/2 (/ (fabs (- (pow y 2) (pow x 2))) (* x (fabs (- y (* -1 x)))))) 1)))
x
(* -1 (* x (- (* -1/2 (/ (fabs (+ (* -1 (pow y 2)) (pow x 2))) (* x (fabs (- y (* -1 x)))))) 1)))
(* -1 (* x (- (* -1/2 (/ (fabs (+ (* -1 (pow y 2)) (pow x 2))) (* x (fabs (- y (* -1 x)))))) 1)))
(* -1 (* x (- (* -1/2 (/ (fabs (+ (* -1 (pow y 2)) (pow x 2))) (* x (fabs (- y (* -1 x)))))) 1)))
(fabs (+ (* -1 (pow y 2)) (pow x 2)))
(fabs (+ (* -1 (pow y 2)) (pow x 2)))
(fabs (+ (* -1 (pow y 2)) (pow x 2)))
(fabs (+ (* -1 (pow y 2)) (pow x 2)))
(pow x 2)
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
(* 1/2 (fabs (+ y (* -1 x))))
(* 1/2 (fabs (+ y (* -1 x))))
(* 1/2 (fabs (+ y (* -1 x))))
(* 1/2 (fabs (+ y (* -1 x))))
x
(* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1)))
(* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1)))
(* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1)))
(fabs (+ y (* -1 x)))
(fabs (+ y (* -1 x)))
(fabs (+ y (* -1 x)))
(fabs (+ y (* -1 x)))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(/ (pow x 2) y)
(* (pow x 2) (+ (* -1 (/ y (pow x 2))) (/ 1 y)))
(* (pow x 2) (+ (* -1 (/ y (pow x 2))) (/ 1 y)))
(* (pow x 2) (+ (* -1 (/ y (pow x 2))) (/ 1 y)))
(pow x 2)
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
x
(* -1 (* x (- (* -1/2 (/ (fabs (- (pow y 2) (pow x 2))) (* x (fabs (- y (* -1 x)))))) 1)))
(* -1 (* x (- (* -1/2 (/ (fabs (- (pow y 2) (pow x 2))) (* x (fabs (- y (* -1 x)))))) 1)))
(* -1 (* x (- (* -1/2 (/ (fabs (- (pow y 2) (pow x 2))) (* x (fabs (- y (* -1 x)))))) 1)))
x
(* -1 (* x (- (* -1/2 (/ (fabs (+ (* -1 (pow y 2)) (pow x 2))) (* x (fabs (- y (* -1 x)))))) 1)))
(* -1 (* x (- (* -1/2 (/ (fabs (+ (* -1 (pow y 2)) (pow x 2))) (* x (fabs (- y (* -1 x)))))) 1)))
(* -1 (* x (- (* -1/2 (/ (fabs (+ (* -1 (pow y 2)) (pow x 2))) (* x (fabs (- y (* -1 x)))))) 1)))
x
(* -1 (* x (- (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1)))
(* -1 (* x (- (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1)))
(* -1 (* x (- (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1)))
(pow x 2)
(* (pow x 2) (+ 1 (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1/4 (/ (pow (fabs (neg (+ y (* -1 x)))) 2) x)) (* 1/2 (fabs (neg (+ y (* -1 x)))))) x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1/4 (/ (pow (fabs (neg (+ y (* -1 x)))) 2) x)) (* 1/2 (fabs (neg (+ y (* -1 x)))))) x))))
(pow x 2)
(* (pow x 2) (+ 1 (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1/4 (/ (pow (fabs (neg (+ y (* -1 x)))) 2) x)) (* 1/2 (fabs (neg (+ y (* -1 x)))))) x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1/4 (/ (pow (fabs (neg (+ y (* -1 x)))) 2) x)) (* 1/2 (fabs (neg (+ y (* -1 x)))))) x))))
(* 1/2 (fabs (neg (+ y (* -1 x)))))
(* 1/2 (fabs (neg (+ y (* -1 x)))))
(* 1/2 (fabs (neg (+ y (* -1 x)))))
(* 1/2 (fabs (neg (+ y (* -1 x)))))
(/ 1/2 (fabs (- y (* -1 x))))
(/ 1/2 (fabs (- y (* -1 x))))
(/ 1/2 (fabs (- y (* -1 x))))
(/ 1/2 (fabs (- y (* -1 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
(- (* -1 (/ (- (* -1 y) y) x)) 1)
(- (* -1 (/ (- (+ (* -1 y) (* -1 (/ (* y (- (* -1 y) y)) x))) y) x)) 1)
(- (* -1 (/ (- (+ (* -1 y) (* -1 (/ (- (* -1 (/ (* (pow y 2) (- (* -1 y) y)) x)) (* -1 (* y (- (* -1 y) y)))) x))) y) x)) 1)
(/ (pow x 2) (pow y 2))
(* (pow x 2) (- (/ 1 (pow y 2)) (/ 1 (pow x 2))))
(* (pow x 2) (- (/ 1 (pow y 2)) (/ 1 (pow x 2))))
(* (pow x 2) (- (/ 1 (pow y 2)) (/ 1 (pow x 2))))
(/ 1 x)
(* -1 (/ (- (* -1 (/ (- (* 1/2 (fabs (neg (+ y (* -1 x))))) (* -1/2 (fabs (neg (+ y (* -1 x)))))) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (+ (* -1/4 (/ (pow (fabs (neg (+ y (* -1 x)))) 2) x)) (+ (* 1/2 (fabs (neg (+ y (* -1 x))))) (* 1/2 (/ (* (fabs (neg (+ y (* -1 x)))) (- (* 1/2 (fabs (neg (+ y (* -1 x))))) (* -1/2 (fabs (neg (+ y (* -1 x))))))) x)))) (* -1/2 (fabs (neg (+ y (* -1 x)))))) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/2 (/ (* (fabs (neg (+ y (* -1 x)))) (+ (* -1/4 (pow (fabs (neg (+ y (* -1 x)))) 2)) (* 1/2 (* (fabs (neg (+ y (* -1 x)))) (- (* 1/2 (fabs (neg (+ y (* -1 x))))) (* -1/2 (fabs (neg (+ y (* -1 x)))))))))) x)) (* 1/4 (/ (* (pow (fabs (neg (+ y (* -1 x)))) 2) (- (* 1/2 (fabs (neg (+ y (* -1 x))))) (* -1/2 (fabs (neg (+ y (* -1 x))))))) x))) (+ (* -1/4 (pow (fabs (neg (+ y (* -1 x)))) 2)) (* 1/2 (* (fabs (neg (+ y (* -1 x)))) (- (* 1/2 (fabs (neg (+ y (* -1 x))))) (* -1/2 (fabs (neg (+ y (* -1 x)))))))))) x)) (* 1/2 (fabs (neg (+ y (* -1 x)))))) (* -1/2 (fabs (neg (+ y (* -1 x)))))) x)) 1) x))
(* -1 x)
(* -1 (* x (+ 1 (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)))))
(* -1 (* x (+ 1 (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)))))
(* -1 (* x (+ 1 (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)))))

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

rewrite250.0ms (4.3%)

Memory

39.6MiB live, 267.2MiB allocated

Rules

5 646×	`lower-*.f32`
5 630×	`lower-*.f64`
5 576×	`lower-fma.f32`
5 562×	`lower-fma.f64`
3 282×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	460
0	102	449
1	415	381
2	3344	381
0	9295	380

Stop Event

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

Counts

26 → 830

Calls

Call 1

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

Outputs
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)
(*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) y) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))
(/.f64 (*.f64 y (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) y) (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(fma.f64 (/.f64 x y) y (neg.f64 y))
(fma.f64 y (/.f64 x y) (neg.f64 y))
(+.f64 (*.f64 (/.f64 x y) y) (neg.f64 y))
(+.f64 (*.f64 y (/.f64 x y)) (neg.f64 y))
(.f64 (fma.f64 (pow.f64 (fabs.f64 #s(approx (- x y) (.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y))) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (neg.f64 x) x)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y))) (neg.f64 x)) #s(literal -1 binary64)))
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(pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y))) (neg.f64 x)) (fma.f64 (pow.f64 (fabs.f64 #s(approx (- x y) (.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y))) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 x) x))) #s(literal -1 binary64))
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eval313.0ms (5.4%)

Memory: 14.6MiB live, 590.3MiB allocated
Compiler: Compiled 60 316 to 3 960 computations (93.4% saved)

prune79.0ms (1.4%)

Memory

-35.5MiB live, 152.1MiB allocated

Pruning

9 alts after pruning (2 fresh and 7 done)

	Pruned	Kept	Total
New	1 700	2	1 702
Fresh	2	0	2
Picked	2	3	5
Done	0	4	4
Total	1 704	9	1 713

Accuracy

100.0%

Counts

1 713 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
✓	87.2%	(fma.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y))) #s(literal 1/2 binary64) x)
✓	57.8%	(fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x)
	99.6%	(/.f64 (fma.f64 x (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 y x))) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 y x)))))
✓	53.1%	(+.f64 x (/.f64 (fabs.f64 (.f64 (+.f64 x y) (.f64 (-.f64 y x) #s(approx (pow (+ x y) -1) (/.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64)))
✓	99.7%	(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y)))))
✓	30.9%	#s(approx (+ x (/ (/ 1 (/ (fabs (+ x y)) (fabs (+ (* (neg x) x) (* y y))))) 2)) (fma.f64 (fabs.f64 #s(approx (+ (* (neg y) y) (* x x)) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) (fabs.f64 (+.f64 y x))) x))
	30.2%	#s(approx (+ x (/ (/ 1 (/ (fabs (+ x y)) (fabs (+ (* (neg x) x) (* y y))))) 2)) (/.f64 (fma.f64 x (fabs.f64 (+.f64 y x)) (.f64 #s(literal 1 binary64) (.f64 (fabs.f64 #s(approx (+ (* (neg y) y) (* x x)) (*.f64 x x))) #s(literal 1/2 binary64)))) (fabs.f64 (+.f64 y x))))
✓	7.6%	#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64)))

Compiler

Compiled 425 to 193 computations (54.6% saved)

regimes20.0ms (0.3%)

Memory

2.6MiB live, 41.7MiB allocated

Counts

20 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 10 to 11 computations (-10% saved)

regimes6.0ms (0.1%)

Memory

17.1MiB live, 17.1MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

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

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

(fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x)

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
57.8%	1	`x`
57.8%	1	`y`
57.8%	1	`(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))`

Compiler

Compiled 10 to 11 computations (-10% saved)

regimes7.0ms (0.1%)

Memory

-24.0MiB live, 15.3MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
52.9%	1	`x`
52.9%	1	`(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))`
52.9%	1	`y`

Compiler

Compiled 10 to 11 computations (-10% saved)

regimes4.0ms (0.1%)

Memory

11.3MiB live, 11.3MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
7.6%	1	`x`
7.6%	1	`(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))`
7.6%	1	`y`

Compiler

Compiled 10 to 11 computations (-10% saved)

simplify23.0ms (0.4%)

Memory

11.0MiB live, 52.2MiB allocated

Algorithm

1×	egg-herbie

Rules

8×	`-commutative-binary64-.f64`
8×	`+-commutative-binary64-+.f64`
8×	`sub-neg-binary64-neg.f64-+.f64--.f64`
4×	`neg-sub0-binary64--.f64-neg.f64`
4×	`neg-mul-1-binary64-*.f64-neg.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	50
1	36	50
2	42	50
3	44	50

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness599.0ms (10.3%)

Memory

-12.0MiB live, 341.6MiB allocated

Rules

6 784×	`lower-fma.f64`
6 784×	`lower-fma.f32`
4 906×	`lower-fma.f64`
4 906×	`lower-fma.f32`
4 508×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	479
1	115	479
2	264	479
3	775	479
4	2401	479
5	3216	479
6	4243	479
7	5084	479
8	5657	479
9	6145	479
10	7847	479
0	8326	458
0	7	21
0	11	21
1	51	21
2	380	21
3	5345	21
0	8350	20
0	191	3525
1	508	3521
2	1176	3513
3	4817	3501
0	8531	3349

Stop Event

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

Compiler

Compiled 76 to 59 computations (22.4% saved)

preprocess38.0ms (0.7%)

Memory: 21.7MiB live, 59.2MiB allocated
Compiler: Compiled 72 to 48 computations (33.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	19	48
1	46	40
2	127	40
3	248	40
4	352	40
5	419	40
6	463	40
7	501	40
8	513	40
9	518	40
10	521	40
11	523	40
0	7	8
0	11	8
1	16	8
2	23	8
3	31	8
4	50	8
5	97	8
6	155	8
7	184	8
8	229	8
9	265	8
10	301	8
11	313	8
12	319	8
13	322	8
14	324	8
0	324	7

Iter	Nodes	Cost
0	7	24
0	11	24
1	16	24
2	23	24
3	31	24
4	50	24
5	97	24
6	155	24
7	184	24
8	229	24
9	265	24
10	301	24
11	313	24
12	319	24
13	322	24
14	324	24
0	324	23

Iter	Nodes	Cost
0	19	48
1	46	40
2	127	40
3	248	40
4	352	40
5	419	40
6	463	40
7	501	40
8	513	40
9	518	40
10	521	40
11	523	40
0	7	8
0	11	8
1	16	8
2	23	8
3	31	8
4	50	8
5	97	8
6	155	8
7	184	8
8	229	8
9	265	8
10	301	8
11	313	8
12	319	8
13	322	8
14	324	8
0	324	7

Iter	Nodes	Cost
0	7	24
0	11	24
1	16	24
2	23	24
3	31	24
4	50	24
5	97	24
6	155	24
7	184	24
8	229	24
9	265	24
10	301	24
11	313	24
12	319	24
13	322	24
14	324	24
0	324	23

start0.0ms (0%)

analyze0.0ms (0%)

sample959.0ms (16.5%)

explain72.0ms (1.2%)

preprocess38.0ms (0.6%)

eval0.0ms (0%)

prune6.0ms (0.1%)

simplify16.0ms (0.3%)

localize23.0ms (0.4%)

series5.0ms (0.1%)

simplify123.0ms (2.1%)

rewrite146.0ms (2.5%)

eval41.0ms (0.7%)

prune53.0ms (0.9%)

simplify164.0ms (2.8%)

localize159.0ms (2.7%)

series54.0ms (0.9%)

simplify161.0ms (2.8%)

rewrite248.0ms (4.3%)

eval275.0ms (4.7%)

prune83.0ms (1.4%)

simplify118.0ms (2%)

localize136.0ms (2.3%)

series51.0ms (0.9%)

simplify219.0ms (3.8%)

rewrite208.0ms (3.6%)

eval314.0ms (5.4%)

prune58.0ms (1%)

simplify159.0ms (2.7%)

localize238.0ms (4.1%)

series122.0ms (2.1%)

simplify228.0ms (3.9%)

rewrite250.0ms (4.3%)

eval313.0ms (5.4%)

prune79.0ms (1.4%)

regimes20.0ms (0.3%)

regimes6.0ms (0.1%)

regimes7.0ms (0.1%)

regimes4.0ms (0.1%)

simplify23.0ms (0.4%)

soundness599.0ms (10.3%)

preprocess38.0ms (0.7%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	19	48
1	46	40
2	127	40
3	248	40
4	352	40
5	419	40
6	463	40
7	501	40
8	513	40
9	518	40
10	521	40
11	523	40
0	7	8
0	11	8
1	16	8
2	23	8
3	31	8
4	50	8
5	97	8
6	155	8
7	184	8
8	229	8
9	265	8
10	301	8
11	313	8
12	319	8
13	322	8
14	324	8
0	324	7

Iter	Nodes	Cost
0	7	24
0	11	24
1	16	24
2	23	24
3	31	24
4	50	24
5	97	24
6	155	24
7	184	24
8	229	24
9	265	24
10	301	24
11	313	24
12	319	24
13	322	24
14	324	24
0	324	23