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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB 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)

sample873.0ms (13.3%)

Memory

20.8MiB live, 1 125.9MiB allocated

Samples

550.0ms	7 939×	0	valid
13.0ms	156×	1	valid
12.0ms	93×	2	valid
12.0ms	68×	3	valid

Precisions

Click to see histograms. Total time spent on operations: 316.0ms

ival-fabs: 121.0ms (38.2% of total)

ival-div: 91.0ms (28.8% of total)

ival-sub: 46.0ms (14.5% of total)

ival-add: 38.0ms (12% of total)

adjust: 8.0ms (2.5% of total)

ival-true: 5.0ms (1.6% of total)

exact: 5.0ms (1.6% of total)

ival-assert: 3.0ms (0.9% of total)

Bogosity

explain71.0ms (1.1%)

Memory

-38.2MiB live, 162.1MiB 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

24.0ms	492×	0	valid
1.0ms	12×	1	valid
1.0ms	8×	2	valid

Compiler

Compiled 60 to 25 computations (58.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-div: 3.0ms (24% of total)

ival-sub: 3.0ms (24% of total)

ival-fabs: 3.0ms (24% of total)

ival-add: 2.0ms (16% 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)

preprocess42.0ms (0.6%)

Memory

28.8MiB live, 74.8MiB 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: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.8MiB live, 1.8MiB 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)

simplify15.0ms (0.2%)

Memory

-12.3MiB live, 26.9MiB 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)

localize19.0ms (0.3%)

Memory

5.8MiB live, 45.1MiB 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	0.046875	(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))

Samples

12.0ms	246×	0	valid
1.0ms	4×	2	valid
1.0ms	6×	1	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 (28.5% of total)

ival-sub: 2.0ms (28.5% of total)

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

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

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory

-27.2MiB live, 11.4MiB 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	y	@	0	((/ (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))

simplify120.0ms (1.8%)

Memory

40.1MiB live, 158.5MiB 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)

rewrite158.0ms (2.4%)

Memory

1.7MiB live, 279.7MiB 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))

eval42.0ms (0.6%)

Memory: -9.4MiB live, 110.3MiB allocated
Compiler: Compiled 6 166 to 927 computations (85% saved)

prune38.0ms (0.6%)

Memory

-5.7MiB live, 111.9MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	322	8	330
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	323	8	331

Accuracy

100.0%

Counts

331 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.3%	(fma.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64)) x)
▶	99.9%	(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
	49.6%	(/.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))
	99.4%	(+.f64 x (pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
▶	51.6%	(+.f64 x (/.f64 (.f64 (fabs.f64 (fma.f64 (neg.f64 x) x (.f64 y y))) #s(literal 1/2 binary64)) (fabs.f64 (+.f64 x y))))
▶	51.5%	(+.f64 x (/.f64 (fabs.f64 (.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) (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)))))
▶	54.9%	#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)))

Compiler

Compiled 214 to 154 computations (28% saved)

simplify124.0ms (1.9%)

Memory

15.3MiB live, 215.9MiB 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	(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)))
cost-diff	2240	(fma.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64)) x)
cost-diff	5824	(pow.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64))
cost-diff	0	(fabs.f64 (.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) (pow.f64 (+.f64 x y) #s(literal -1 binary64))))
cost-diff	128	(+.f64 x (/.f64 (fabs.f64 (.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) (pow.f64 (+.f64 x y) #s(literal -1 binary64)))) #s(literal 2 binary64)))
cost-diff	384	(/.f64 (fabs.f64 (.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) (pow.f64 (+.f64 x y) #s(literal -1 binary64)))) #s(literal 2 binary64))
cost-diff	7616	(.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) (pow.f64 (+.f64 x y) #s(literal -1 binary64)))
cost-diff	0	(fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)))
cost-diff	0	(.f64 (fabs.f64 (fma.f64 (neg.f64 x) x (.f64 y y))) #s(literal 1/2 binary64))
cost-diff	128	(+.f64 x (/.f64 (.f64 (fabs.f64 (fma.f64 (neg.f64 x) x (.f64 y y))) #s(literal 1/2 binary64)) (fabs.f64 (+.f64 x y))))
cost-diff	1664	(/.f64 (.f64 (fabs.f64 (fma.f64 (neg.f64 x) x (.f64 y y))) #s(literal 1/2 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

7 150×	`lower-fma.f32`
7 144×	`lower-fma.f64`
3 306×	`lower-*.f32`
3 296×	`lower-*.f64`
1 560×	`lower-/.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	33	247
0	59	175
1	91	175
2	124	175
3	201	175
4	422	174
5	861	174
6	1890	174
7	4772	174
0	8201	174

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

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

localize157.0ms (2.4%)

Memory

-33.9MiB live, 244.0MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)))
accuracy	0	(fabs.f64 (-.f64 x y))
accuracy	0.0078125	(pow.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64))
accuracy	0.421875	(fma.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64)) x)
accuracy	0.015625	(pow.f64 (+.f64 x y) #s(literal -1 binary64))
accuracy	0.046875	(+.f64 x (/.f64 (fabs.f64 (.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) (pow.f64 (+.f64 x y) #s(literal -1 binary64)))) #s(literal 2 binary64)))
accuracy	1.999977980844482	(fma.f64 (neg.f64 x) x (*.f64 y y))
accuracy	31.192475927027377	(.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) (pow.f64 (+.f64 x y) #s(literal -1 binary64)))
accuracy	0.0078125	(.f64 (fabs.f64 (fma.f64 (neg.f64 x) x (.f64 y y))) #s(literal 1/2 binary64))
accuracy	0.046875	(+.f64 x (/.f64 (.f64 (fabs.f64 (fma.f64 (neg.f64 x) x (.f64 y y))) #s(literal 1/2 binary64)) (fabs.f64 (+.f64 x y))))
accuracy	1.999977980844482	(fma.f64 (neg.f64 x) x (*.f64 y y))
accuracy	31.125319124585086	(/.f64 (.f64 (fabs.f64 (fma.f64 (neg.f64 x) x (.f64 y y))) #s(literal 1/2 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	28.836429273175302	#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	0.046875	(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)

Samples

119.0ms	235×	0	valid
6.0ms	14×	1	valid
3.0ms	4×	2	valid
3.0ms	3×	3	valid

Compiler

Compiled 254 to 35 computations (86.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 112.0ms

ival-fabs: 51.0ms (45.7% of total)

ival-mult: 36.0ms (32.3% of total)

ival-add: 8.0ms (7.2% of total)

ival-div: 5.0ms (4.5% of total)

ival-pow: 4.0ms (3.6% of total)

ival-sub: 3.0ms (2.7% of total)

adjust: 2.0ms (1.8% of total)

ival-sqrt: 2.0ms (1.8% of total)

ival-neg: 1.0ms (0.9% of total)

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

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

exact: 0.0ms (0% of total)

series69.0ms (1.1%)

Memory

6.3MiB live, 102.3MiB allocated

Counts

20 → 480

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

Calls

6 calls:

Time	Variable		Point	Expression
30.0ms	x	@	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) (/ (* (fabs (+ (* (neg x) x) (* y y))) 1/2) (fabs (+ x y))) (+ x (/ (* (fabs (+ (* (neg x) x) (* y y))) 1/2) (fabs (+ x y)))) (* (fabs (+ (* (neg x) x) (* y y))) 1/2) (fabs (+ (* (neg x) x) (* y y))) (* (+ (* (neg x) x) (* y y)) (pow (+ x y) -1)) (/ (fabs (* (+ (* (neg x) x) (* y y)) (pow (+ x y) -1))) 2) (+ x (/ (fabs (* (+ (* (neg x) x) (* y y)) (pow (+ x y) -1))) 2)) (fabs (* (+ (* (neg x) x) (* y y)) (pow (+ x y) -1))) (pow (* 1/2 (fabs (- x y))) 1/2) (+ (* (pow (* 1/2 (fabs (- x y))) 1/2) (pow (* 1/2 (fabs (- x y))) 1/2)) x) (* 1/2 (fabs (- x y))) (+ (* (neg x) x) (* y y)) (pow (+ x y) -1))
7.0ms	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) (/ (* (fabs (+ (* (neg x) x) (* y y))) 1/2) (fabs (+ x y))) (+ x (/ (* (fabs (+ (* (neg x) x) (* y y))) 1/2) (fabs (+ x y)))) (* (fabs (+ (* (neg x) x) (* y y))) 1/2) (fabs (+ (* (neg x) x) (* y y))) (* (+ (* (neg x) x) (* y y)) (pow (+ x y) -1)) (/ (fabs (* (+ (* (neg x) x) (* y y)) (pow (+ x y) -1))) 2) (+ x (/ (fabs (* (+ (* (neg x) x) (* y y)) (pow (+ x y) -1))) 2)) (fabs (* (+ (* (neg x) x) (* y y)) (pow (+ x y) -1))) (pow (* 1/2 (fabs (- x y))) 1/2) (+ (* (pow (* 1/2 (fabs (- x y))) 1/2) (pow (* 1/2 (fabs (- x y))) 1/2)) x) (* 1/2 (fabs (- x y))) (+ (* (neg x) x) (* y y)) (pow (+ x y) -1))
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) (/ (* (fabs (+ (* (neg x) x) (* y y))) 1/2) (fabs (+ x y))) (+ x (/ (* (fabs (+ (* (neg x) x) (* y y))) 1/2) (fabs (+ x y)))) (* (fabs (+ (* (neg x) x) (* y y))) 1/2) (fabs (+ (* (neg x) x) (* y y))) (* (+ (* (neg x) x) (* y y)) (pow (+ x y) -1)) (/ (fabs (* (+ (* (neg x) x) (* y y)) (pow (+ x y) -1))) 2) (+ x (/ (fabs (* (+ (* (neg x) x) (* y y)) (pow (+ x y) -1))) 2)) (fabs (* (+ (* (neg x) x) (* y y)) (pow (+ x y) -1))) (pow (* 1/2 (fabs (- x y))) 1/2) (+ (* (pow (* 1/2 (fabs (- x y))) 1/2) (pow (* 1/2 (fabs (- x y))) 1/2)) x) (* 1/2 (fabs (- x y))) (+ (* (neg x) x) (* y y)) (pow (+ x y) -1))
5.0ms	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) (/ (* (fabs (+ (* (neg x) x) (* y y))) 1/2) (fabs (+ x y))) (+ x (/ (* (fabs (+ (* (neg x) x) (* y y))) 1/2) (fabs (+ x y)))) (* (fabs (+ (* (neg x) x) (* y y))) 1/2) (fabs (+ (* (neg x) x) (* y y))) (* (+ (* (neg x) x) (* y y)) (pow (+ x y) -1)) (/ (fabs (* (+ (* (neg x) x) (* y y)) (pow (+ x y) -1))) 2) (+ x (/ (fabs (* (+ (* (neg x) x) (* y y)) (pow (+ x y) -1))) 2)) (fabs (* (+ (* (neg x) x) (* y y)) (pow (+ x y) -1))) (pow (* 1/2 (fabs (- x y))) 1/2) (+ (* (pow (* 1/2 (fabs (- x y))) 1/2) (pow (* 1/2 (fabs (- x y))) 1/2)) x) (* 1/2 (fabs (- x y))) (+ (* (neg x) x) (* y y)) (pow (+ x y) -1))
4.0ms	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) (/ (* (fabs (+ (* (neg x) x) (* y y))) 1/2) (fabs (+ x y))) (+ x (/ (* (fabs (+ (* (neg x) x) (* y y))) 1/2) (fabs (+ x y)))) (* (fabs (+ (* (neg x) x) (* y y))) 1/2) (fabs (+ (* (neg x) x) (* y y))) (* (+ (* (neg x) x) (* y y)) (pow (+ x y) -1)) (/ (fabs (* (+ (* (neg x) x) (* y y)) (pow (+ x y) -1))) 2) (+ x (/ (fabs (* (+ (* (neg x) x) (* y y)) (pow (+ x y) -1))) 2)) (fabs (* (+ (* (neg x) x) (* y y)) (pow (+ x y) -1))) (pow (* 1/2 (fabs (- x y))) 1/2) (+ (* (pow (* 1/2 (fabs (- x y))) 1/2) (pow (* 1/2 (fabs (- x y))) 1/2)) x) (* 1/2 (fabs (- x y))) (+ (* (neg x) x) (* y y)) (pow (+ x y) -1))

simplify195.0ms (3%)

Memory

6.1MiB live, 237.8MiB allocated

Algorithm

1×	egg-herbie

Rules

8 518×	`lower-fma.f64`
8 518×	`lower-fma.f32`
4 116×	`lower-*.f64`
4 116×	`lower-*.f32`
2 254×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	251	3952
1	653	3930
2	1562	3892
3	5840	3892
0	8478	3771

Stop Event

1×	iter limit
1×	node limit

Counts

480 → 461

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

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

rewrite275.0ms (4.2%)

Memory

-12.6MiB live, 509.3MiB allocated

Rules

5 286×	`lower-fma.f32`
5 280×	`lower-fma.f64`
4 032×	`lower-*.f32`
4 022×	`lower-*.f64`
3 816×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	197
0	59	124
1	236	124
2	1723	124
0	8582	124

Stop Event

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

Counts

20 → 1 418

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

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

eval485.0ms (7.4%)

Memory: 27.4MiB live, 841.7MiB allocated
Compiler: Compiled 55 446 to 3 989 computations (92.8% saved)

prune522.0ms (7.9%)

Memory

-162.6MiB live, 497.0MiB allocated

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	2 466	9	2 475
Fresh	3	0	3
Picked	4	1	5
Done	0	0	0
Total	2 473	10	2 483

Accuracy

100.0%

Counts

2 483 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	51.5%	(fma.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 (+.f64 y x))) (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y))) x)
▶	99.3%	(fma.f64 (*.f64 (sqrt.f64 (fabs.f64 (-.f64 y x))) (sqrt.f64 (fabs.f64 (-.f64 y x)))) #s(literal 1/2 binary64) x)
▶	51.4%	(fma.f64 (sqrt.f64 (.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))) (fabs.f64 (-.f64 y x)))) (sqrt.f64 #s(literal 1/2 binary64)) x)
	99.3%	(fma.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) x)
▶	51.7%	(fma.f64 (fabs.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (+.f64 y x))) #s(literal 1/2 binary64) x)
✓	99.9%	(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
	59.6%	(fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x)
	99.6%	(+.f64 x (/.f64 (sqrt.f64 (fabs.f64 (-.f64 y x))) (sqrt.f64 (*.f64 (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 y x))) #s(literal 2 binary64)))))
▶	99.7%	(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 y x)))))
▶	7.2%	#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64)))

Compiler

Compiled 243 to 168 computations (30.9% saved)

simplify114.0ms (1.7%)

Memory

4.0MiB live, 158.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(fabs.f64 (-.f64 y x))
cost-diff	0	(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))
cost-diff	0	(sqrt.f64 (.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))) (fabs.f64 (-.f64 y x))))
cost-diff	0	(fma.f64 (sqrt.f64 (.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))) (fabs.f64 (-.f64 y x)))) (sqrt.f64 #s(literal 1/2 binary64)) x)
cost-diff	0	(fabs.f64 (-.f64 y x))
cost-diff	0	(sqrt.f64 (fabs.f64 (-.f64 y x)))
cost-diff	0	(fma.f64 (*.f64 (sqrt.f64 (fabs.f64 (-.f64 y x))) (sqrt.f64 (fabs.f64 (-.f64 y x)))) #s(literal 1/2 binary64) x)
cost-diff	1920	(*.f64 (sqrt.f64 (fabs.f64 (-.f64 y x))) (sqrt.f64 (fabs.f64 (-.f64 y x))))
cost-diff	0	(*.f64 (+.f64 y x) (-.f64 x y))
cost-diff	0	(fabs.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (+.f64 y x)))
cost-diff	0	(fma.f64 (fabs.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (+.f64 y x))) #s(literal 1/2 binary64) x)
cost-diff	1408	(/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (+.f64 y 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	0	(fabs.f64 (-.f64 y x))
cost-diff	0	(/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 y x)))
cost-diff	128	(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 y x)))))
cost-diff	1088	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 y x))))

Rules

4 542×	`lower-fma.f32`
4 538×	`lower-fma.f64`
3 160×	`lower-*.f32`
3 150×	`lower-*.f64`
2 910×	`lower-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	33	230
0	58	203
1	92	197
2	154	185
3	288	180
4	907	180
5	3060	180
6	6231	180
0	8339	180

Stop Event

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

Calls

Call 1

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

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

localize96.0ms (1.5%)

Memory

-4.8MiB live, 189.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(fabs.f64 (-.f64 y x))
accuracy	0.0078125	(.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))) (fabs.f64 (-.f64 y x)))
accuracy	0.390625	(fma.f64 (sqrt.f64 (.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))) (fabs.f64 (-.f64 y x)))) (sqrt.f64 #s(literal 1/2 binary64)) x)
accuracy	31.08247052064234	(sqrt.f64 (.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))) (fabs.f64 (-.f64 y x))))
accuracy	0	(fabs.f64 (-.f64 y x))
accuracy	0.00390625	(sqrt.f64 (fabs.f64 (-.f64 y x)))
accuracy	0.046875	(fma.f64 (*.f64 (sqrt.f64 (fabs.f64 (-.f64 y x))) (sqrt.f64 (fabs.f64 (-.f64 y x)))) #s(literal 1/2 binary64) x)
accuracy	0.49609375	(*.f64 (sqrt.f64 (fabs.f64 (-.f64 y x))) (sqrt.f64 (fabs.f64 (-.f64 y x))))
accuracy	0	(*.f64 (+.f64 y x) (-.f64 x y))
accuracy	0	(fabs.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (+.f64 y x)))
accuracy	0.046875	(fma.f64 (fabs.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (+.f64 y x))) #s(literal 1/2 binary64) x)
accuracy	31.10653839959194	(/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (+.f64 y x))
accuracy	0	(neg.f64 x)
accuracy	0	(fabs.f64 #s(approx (- y x) (neg.f64 x)))
accuracy	28.836429273175302	#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64)))
accuracy	32.295133678349906	#s(approx (- y x) (neg.f64 x))
accuracy	0	(fabs.f64 (-.f64 y x))
accuracy	0.01171875	(/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 y x)))
accuracy	0.046875	(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 y x)))))
accuracy	0.1640625	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 y x))))

Samples

59.0ms	235×	0	valid
6.0ms	14×	1	valid
3.0ms	5×	2	valid
2.0ms	2×	3	valid

Compiler

Compiled 216 to 33 computations (84.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 45.0ms

ival-mult: 15.0ms (33.4% of total)

ival-div: 9.0ms (20.1% of total)

ival-add: 7.0ms (15.6% of total)

ival-sqrt: 5.0ms (11.1% of total)

ival-sub: 3.0ms (6.7% of total)

ival-fabs: 3.0ms (6.7% of total)

adjust: 2.0ms (4.5% of total)

ival-neg: 1.0ms (2.2% of total)

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

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

exact: 0.0ms (0% of total)

series54.0ms (0.8%)

Memory

-12.2MiB live, 116.7MiB allocated

Counts

20 → 468

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	((/ 1 (/ 2 (fabs (- y x)))) (+ x (/ 1 (/ 2 (fabs (- y x))))) (/ 2 (fabs (- y x))) (fabs (- y x)) (+ x (/ (fabs (- y x)) 2)) (* (fabs (- y x)) 1/2) (fabs (- y x)) (- y x) (/ (* (+ y x) (- x y)) (+ y x)) (+ (* (fabs (/ (* (+ y x) (- x y)) (+ y x))) 1/2) x) (fabs (/ (* (+ y x) (- x y)) (+ y x))) (* (+ y x) (- x y)) (* (sqrt (fabs (- y x))) (sqrt (fabs (- y x)))) (+ (* (* (sqrt (fabs (- y x))) (sqrt (fabs (- y x)))) 1/2) x) (sqrt (fabs (- y x))) (+ (* (sqrt (* (* 1/2 (fabs (- y x))) (fabs (- y x)))) (sqrt 1/2)) x) (sqrt (* (* 1/2 (fabs (- y x))) (fabs (- y x)))) (* 1/2 (fabs (- y x))) (neg x) (* (* 1/2 (fabs (- y x))) (fabs (- y x))))
3.0ms	y	@	-inf	((/ 1 (/ 2 (fabs (- y x)))) (+ x (/ 1 (/ 2 (fabs (- y x))))) (/ 2 (fabs (- y x))) (fabs (- y x)) (+ x (/ (fabs (- y x)) 2)) (* (fabs (- y x)) 1/2) (fabs (- y x)) (- y x) (/ (* (+ y x) (- x y)) (+ y x)) (+ (* (fabs (/ (* (+ y x) (- x y)) (+ y x))) 1/2) x) (fabs (/ (* (+ y x) (- x y)) (+ y x))) (* (+ y x) (- x y)) (* (sqrt (fabs (- y x))) (sqrt (fabs (- y x)))) (+ (* (* (sqrt (fabs (- y x))) (sqrt (fabs (- y x)))) 1/2) x) (sqrt (fabs (- y x))) (+ (* (sqrt (* (* 1/2 (fabs (- y x))) (fabs (- y x)))) (sqrt 1/2)) x) (sqrt (* (* 1/2 (fabs (- y x))) (fabs (- y x)))) (* 1/2 (fabs (- y x))) (neg x) (* (* 1/2 (fabs (- y x))) (fabs (- y x))))
3.0ms	y	@	inf	((/ 1 (/ 2 (fabs (- y x)))) (+ x (/ 1 (/ 2 (fabs (- y x))))) (/ 2 (fabs (- y x))) (fabs (- y x)) (+ x (/ (fabs (- y x)) 2)) (* (fabs (- y x)) 1/2) (fabs (- y x)) (- y x) (/ (* (+ y x) (- x y)) (+ y x)) (+ (* (fabs (/ (* (+ y x) (- x y)) (+ y x))) 1/2) x) (fabs (/ (* (+ y x) (- x y)) (+ y x))) (* (+ y x) (- x y)) (* (sqrt (fabs (- y x))) (sqrt (fabs (- y x)))) (+ (* (* (sqrt (fabs (- y x))) (sqrt (fabs (- y x)))) 1/2) x) (sqrt (fabs (- y x))) (+ (* (sqrt (* (* 1/2 (fabs (- y x))) (fabs (- y x)))) (sqrt 1/2)) x) (sqrt (* (* 1/2 (fabs (- y x))) (fabs (- y x)))) (* 1/2 (fabs (- y x))) (neg x) (* (* 1/2 (fabs (- y x))) (fabs (- y x))))
2.0ms	x	@	inf	((/ 1 (/ 2 (fabs (- y x)))) (+ x (/ 1 (/ 2 (fabs (- y x))))) (/ 2 (fabs (- y x))) (fabs (- y x)) (+ x (/ (fabs (- y x)) 2)) (* (fabs (- y x)) 1/2) (fabs (- y x)) (- y x) (/ (* (+ y x) (- x y)) (+ y x)) (+ (* (fabs (/ (* (+ y x) (- x y)) (+ y x))) 1/2) x) (fabs (/ (* (+ y x) (- x y)) (+ y x))) (* (+ y x) (- x y)) (* (sqrt (fabs (- y x))) (sqrt (fabs (- y x)))) (+ (* (* (sqrt (fabs (- y x))) (sqrt (fabs (- y x)))) 1/2) x) (sqrt (fabs (- y x))) (+ (* (sqrt (* (* 1/2 (fabs (- y x))) (fabs (- y x)))) (sqrt 1/2)) x) (sqrt (* (* 1/2 (fabs (- y x))) (fabs (- y x)))) (* 1/2 (fabs (- y x))) (neg x) (* (* 1/2 (fabs (- y x))) (fabs (- y x))))
2.0ms	y	@	0	((/ 1 (/ 2 (fabs (- y x)))) (+ x (/ 1 (/ 2 (fabs (- y x))))) (/ 2 (fabs (- y x))) (fabs (- y x)) (+ x (/ (fabs (- y x)) 2)) (* (fabs (- y x)) 1/2) (fabs (- y x)) (- y x) (/ (* (+ y x) (- x y)) (+ y x)) (+ (* (fabs (/ (* (+ y x) (- x y)) (+ y x))) 1/2) x) (fabs (/ (* (+ y x) (- x y)) (+ y x))) (* (+ y x) (- x y)) (* (sqrt (fabs (- y x))) (sqrt (fabs (- y x)))) (+ (* (* (sqrt (fabs (- y x))) (sqrt (fabs (- y x)))) 1/2) x) (sqrt (fabs (- y x))) (+ (* (sqrt (* (* 1/2 (fabs (- y x))) (fabs (- y x)))) (sqrt 1/2)) x) (sqrt (* (* 1/2 (fabs (- y x))) (fabs (- y x)))) (* 1/2 (fabs (- y x))) (neg x) (* (* 1/2 (fabs (- y x))) (fabs (- y x))))

simplify138.0ms (2.1%)

Memory

7.7MiB live, 234.9MiB allocated

Algorithm

1×	egg-herbie

Rules

10 960×	`lower-fma.f64`
10 960×	`lower-fma.f32`
3 154×	`lower-*.f64`
3 154×	`lower-*.f32`
1 862×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	146	2656
1	403	2596
2	1063	2596
3	4213	2596
0	8960	2491

Stop Event

1×	iter limit
1×	node limit

Counts

468 → 452

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

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

rewrite171.0ms (2.6%)

Memory

24.3MiB live, 341.6MiB allocated

Rules

5 180×	`lower-fma.f32`
5 176×	`lower-fma.f64`
4 564×	`lower-/.f32`
4 558×	`lower-/.f64`
4 420×	`lower-*.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	33	190
0	58	145
1	209	129
2	1514	128
0	8452	128

Stop Event

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

Counts

20 → 1 142

Calls

Call 1

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

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

eval418.0ms (6.4%)

Memory: -5.8MiB live, 582.7MiB allocated
Compiler: Compiled 39 339 to 4 153 computations (89.4% saved)

prune204.0ms (3.1%)

Memory

7.8MiB live, 413.3MiB allocated

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	2 067	6	2 073
Fresh	1	3	4
Picked	3	2	5
Done	0	1	1
Total	2 071	12	2 083

Accuracy

100.0%

Counts

2 083 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(fma.f64 (/.f64 (fabs.f64 (-.f64 x y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) x)
▶	51.5%	(fma.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 (+.f64 y x))) (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y))) x)
	49.0%	(fma.f64 (*.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (-.f64 x y))) #s(literal 1/2 binary64) x)
	99.3%	(fma.f64 (*.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64)) (sqrt.f64 (fabs.f64 (-.f64 x y))) x)
▶	98.8%	(fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fabs.f64 (-.f64 x y))) (sqrt.f64 #s(literal 1/2 binary64)) x)
▶	99.3%	(fma.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) x)
	27.8%	(fma.f64 (fabs.f64 (/.f64 #s(approx (* (+ y x) (- x y)) (*.f64 x x)) (+.f64 y x))) #s(literal 1/2 binary64) x)
✓	99.9%	(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
▶	59.6%	(fma.f64 (fabs.f64 #s(approx (/ (* (+ y x) (- x y)) (+ y x)) (neg.f64 y))) #s(literal 1/2 binary64) x)
	99.6%	(+.f64 x (/.f64 (sqrt.f64 (fabs.f64 (-.f64 y x))) (sqrt.f64 (*.f64 (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 y x))) #s(literal 2 binary64)))))
✓	99.7%	(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 y x)))))
✓	7.2%	#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64)))

Compiler

Compiled 256 to 181 computations (29.3% saved)

simplify204.0ms (3.1%)

Memory

14.1MiB live, 240.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(fabs.f64 (-.f64 y x))
cost-diff	0	(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))
cost-diff	0	(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))))
cost-diff	2240	(fma.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) x)
cost-diff	0	(+.f64 y x)
cost-diff	0	(fabs.f64 (+.f64 y x))
cost-diff	0	(/.f64 #s(literal 1/2 binary64) (fabs.f64 (+.f64 y x)))
cost-diff	1664	(fma.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 (+.f64 y x))) (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y))) x)
cost-diff	0	(fabs.f64 (-.f64 x y))
cost-diff	0	(sqrt.f64 #s(literal 1/2 binary64))
cost-diff	0	(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fabs.f64 (-.f64 x y)))
cost-diff	1600	(fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fabs.f64 (-.f64 x y))) (sqrt.f64 #s(literal 1/2 binary64)) x)
cost-diff	0	(neg.f64 y)
cost-diff	0	#s(approx (/ (* (+ y x) (- x y)) (+ y x)) (neg.f64 y))
cost-diff	0	(fabs.f64 #s(approx (/ (* (+ y x) (- x y)) (+ y x)) (neg.f64 y)))
cost-diff	0	(fma.f64 (fabs.f64 #s(approx (/ (* (+ y x) (- x y)) (+ y x)) (neg.f64 y))) #s(literal 1/2 binary64) x)
cost-diff	0	(-.f64 x y)
cost-diff	0	(fabs.f64 (-.f64 x y))
cost-diff	0	(/.f64 (fabs.f64 (-.f64 x y)) (sqrt.f64 #s(literal 2 binary64)))
cost-diff	0	(fma.f64 (/.f64 (fabs.f64 (-.f64 x y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) x)

Rules

20 260×	`lower-fma.f32`
20 248×	`lower-fma.f64`
3 356×	`lower-*.f32`
3 350×	`lower-*.f64`
1 858×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	206
0	63	196
1	98	196
2	142	169
3	224	163
4	530	163
5	1297	163
6	4443	163
0	8542	160

Stop Event

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

Calls

Call 1

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

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

localize178.0ms (2.7%)

Memory

-0.7MiB live, 252.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))
accuracy	0	(fabs.f64 (-.f64 y x))
accuracy	0.00390625	(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))))
accuracy	0.421875	(fma.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) x)
accuracy	0	(fabs.f64 (+.f64 y x))
accuracy	0.015625	(/.f64 #s(literal 1/2 binary64) (fabs.f64 (+.f64 y x)))
accuracy	1.999977980844482	(fma.f64 (neg.f64 x) x (*.f64 y y))
accuracy	31.029913036552127	(fma.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 (+.f64 y x))) (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y))) x)
accuracy	0	(sqrt.f64 #s(literal 1/2 binary64))
accuracy	0	(fabs.f64 (-.f64 x y))
accuracy	0.3671875	(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fabs.f64 (-.f64 x y)))
accuracy	0.390625	(fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fabs.f64 (-.f64 x y))) (sqrt.f64 #s(literal 1/2 binary64)) x)
accuracy	0	(neg.f64 y)
accuracy	0	(fabs.f64 #s(approx (/ (* (+ y x) (- x y)) (+ y x)) (neg.f64 y)))
accuracy	0.046875	(fma.f64 (fabs.f64 #s(approx (/ (* (+ y x) (- x y)) (+ y x)) (neg.f64 y))) #s(literal 1/2 binary64) x)
accuracy	30.74121075052903	#s(approx (/ (* (+ y x) (- x y)) (+ y x)) (neg.f64 y))
accuracy	0	(sqrt.f64 #s(literal 1/2 binary64))
accuracy	0	(fabs.f64 (-.f64 x y))
accuracy	0.390625	(fma.f64 (/.f64 (fabs.f64 (-.f64 x y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) x)
accuracy	0.49609375	(/.f64 (fabs.f64 (-.f64 x y)) (sqrt.f64 #s(literal 2 binary64)))

Samples

87.0ms	235×	0	valid
7.0ms	14×	1	valid
4.0ms	5×	2	valid
2.0ms	2×	3	valid

Compiler

Compiled 207 to 38 computations (81.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 80.0ms

ival-mult: 25.0ms (31.3% of total)

ival-sqrt: 19.0ms (23.8% of total)

ival-div: 13.0ms (16.3% of total)

ival-fabs: 8.0ms (10% of total)

ival-add: 8.0ms (10% of total)

ival-sub: 3.0ms (3.8% of total)

adjust: 2.0ms (2.5% of total)

ival-neg: 2.0ms (2.5% of total)

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

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

exact: 0.0ms (0% of total)

series134.0ms (2%)

Memory

-10.8MiB live, 67.3MiB allocated

Counts

20 → 444

Calls

Call 1

Inputs
#s(alt (fma.f64 (/.f64 (fabs.f64 (-.f64 x y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) x) (patch (fma.f64 (/.f64 (fabs.f64 (-.f64 x y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) x) #<representation binary64>) () ())
#s(alt (/.f64 (fabs.f64 (-.f64 x y)) (sqrt.f64 #s(literal 2 binary64))) (patch (/.f64 (fabs.f64 (-.f64 x y)) (sqrt.f64 #s(literal 2 binary64))) #<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 (fma.f64 (fabs.f64 #s(approx (/ (* (+ y x) (- x y)) (+ y x)) (neg.f64 y))) #s(literal 1/2 binary64) x) (patch (fma.f64 (fabs.f64 #s(approx (/ (* (+ y x) (- x y)) (+ y x)) (neg.f64 y))) #s(literal 1/2 binary64) x) #<representation binary64>) () ())
#s(alt (fabs.f64 #s(approx (/ (* (+ y x) (- x y)) (+ y x)) (neg.f64 y))) (patch (fabs.f64 #s(approx (/ (* (+ y x) (- x y)) (+ y x)) (neg.f64 y))) #<representation binary64>) () ())
#s(alt #s(approx (/ (* (+ y x) (- x y)) (+ y x)) (neg.f64 y)) (patch #s(approx (/ (* (+ y x) (- x y)) (+ y x)) (neg.f64 y)) #<representation binary64>) () ())
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fabs.f64 (-.f64 x y))) (sqrt.f64 #s(literal 1/2 binary64)) x) (patch (fma.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fabs.f64 (-.f64 x y))) (sqrt.f64 #s(literal 1/2 binary64)) x) #<representation binary64>) () ())
#s(alt (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fabs.f64 (-.f64 x y))) (patch (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fabs.f64 (-.f64 x y))) #<representation binary64>) () ())
#s(alt (sqrt.f64 #s(literal 1/2 binary64)) (patch (sqrt.f64 #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 (+.f64 y x))) (fabs.f64 (fma.f64 (neg.f64 x) x (.f64 y y))) x) (patch (fma.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 (+.f64 y x))) (fabs.f64 (fma.f64 (neg.f64 x) x (.f64 y y))) 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>) () ())
#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 (fma.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) x) (patch (fma.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) x) #<representation binary64>) () ())
#s(alt (sqrt.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (patch (sqrt.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y 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>) () ())
#s(alt (fabs.f64 (-.f64 y x)) (patch (fabs.f64 (-.f64 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 (/ (* (fabs (- x y)) (sqrt 1/2)) (sqrt 2))) (taylor 0 y) (#s(alt (fma.f64 (/.f64 (fabs.f64 (-.f64 x y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) x) (patch (fma.f64 (/.f64 (fabs.f64 (-.f64 x y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (+ x (/ (* (fabs (- x y)) (sqrt 1/2)) (sqrt 2))) (taylor 0 y) (#s(alt (fma.f64 (/.f64 (fabs.f64 (-.f64 x y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) x) (patch (fma.f64 (/.f64 (fabs.f64 (-.f64 x y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (+ x (/ (* (fabs (- x y)) (sqrt 1/2)) (sqrt 2))) (taylor 0 y) (#s(alt (fma.f64 (/.f64 (fabs.f64 (-.f64 x y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) x) (patch (fma.f64 (/.f64 (fabs.f64 (-.f64 x y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (+ x (/ (* (fabs (- x y)) (sqrt 1/2)) (sqrt 2))) (taylor 0 y) (#s(alt (fma.f64 (/.f64 (fabs.f64 (-.f64 x y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) x) (patch (fma.f64 (/.f64 (fabs.f64 (-.f64 x y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (/ (fabs (- x y)) (sqrt 2)) (taylor 0 y) (#s(alt (/.f64 (fabs.f64 (-.f64 x y)) (sqrt.f64 #s(literal 2 binary64))) (patch (/.f64 (fabs.f64 (-.f64 x y)) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (fabs (- x y)) (sqrt 2)) (taylor 0 y) (#s(alt (/.f64 (fabs.f64 (-.f64 x y)) (sqrt.f64 #s(literal 2 binary64))) (patch (/.f64 (fabs.f64 (-.f64 x y)) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (fabs (- x y)) (sqrt 2)) (taylor 0 y) (#s(alt (/.f64 (fabs.f64 (-.f64 x y)) (sqrt.f64 #s(literal 2 binary64))) (patch (/.f64 (fabs.f64 (-.f64 x y)) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (fabs (- x y)) (sqrt 2)) (taylor 0 y) (#s(alt (/.f64 (fabs.f64 (-.f64 x y)) (sqrt.f64 #s(literal 2 binary64))) (patch (/.f64 (fabs.f64 (-.f64 x y)) (sqrt.f64 #s(literal 2 binary64))) #<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 (- x y)))) (taylor 0 y) (#s(alt (fma.f64 (fabs.f64 #s(approx (/ (* (+ y x) (- x y)) (+ y x)) (neg.f64 y))) #s(literal 1/2 binary64) x) (patch (fma.f64 (fabs.f64 #s(approx (/ (* (+ y x) (- x y)) (+ y x)) (neg.f64 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 #s(approx (/ (* (+ y x) (- x y)) (+ y x)) (neg.f64 y))) #s(literal 1/2 binary64) x) (patch (fma.f64 (fabs.f64 #s(approx (/ (* (+ y x) (- x y)) (+ y x)) (neg.f64 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 #s(approx (/ (* (+ y x) (- x y)) (+ y x)) (neg.f64 y))) #s(literal 1/2 binary64) x) (patch (fma.f64 (fabs.f64 #s(approx (/ (* (+ y x) (- x y)) (+ y x)) (neg.f64 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 #s(approx (/ (* (+ y x) (- x y)) (+ y x)) (neg.f64 y))) #s(literal 1/2 binary64) x) (patch (fma.f64 (fabs.f64 #s(approx (/ (* (+ y x) (- x y)) (+ y x)) (neg.f64 y))) #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (fabs (- x y)) (taylor 0 y) (#s(alt (fabs.f64 #s(approx (/ (* (+ y x) (- x y)) (+ y x)) (neg.f64 y))) (patch (fabs.f64 #s(approx (/ (* (+ y x) (- x y)) (+ y x)) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (fabs (- x y)) (taylor 0 y) (#s(alt (fabs.f64 #s(approx (/ (* (+ y x) (- x y)) (+ y x)) (neg.f64 y))) (patch (fabs.f64 #s(approx (/ (* (+ y x) (- x y)) (+ y x)) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (fabs (- x y)) (taylor 0 y) (#s(alt (fabs.f64 #s(approx (/ (* (+ y x) (- x y)) (+ y x)) (neg.f64 y))) (patch (fabs.f64 #s(approx (/ (* (+ y x) (- x y)) (+ y x)) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (fabs (- x y)) (taylor 0 y) (#s(alt (fabs.f64 #s(approx (/ (* (+ y x) (- x y)) (+ y x)) (neg.f64 y))) (patch (fabs.f64 #s(approx (/ (* (+ y x) (- x y)) (+ y x)) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt #s(approx (/ (* (+ y x) (- x y)) (+ y x)) (neg.f64 y)) (patch #s(approx (/ (* (+ y x) (- x y)) (+ y x)) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt #s(approx (/ (* (+ y x) (- x y)) (+ y x)) (neg.f64 y)) (patch #s(approx (/ (* (+ y x) (- x y)) (+ y x)) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt #s(approx (/ (* (+ y x) (- x y)) (+ y x)) (neg.f64 y)) (patch #s(approx (/ (* (+ y x) (- x y)) (+ y x)) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt #s(approx (/ (* (+ y x) (- x y)) (+ y x)) (neg.f64 y)) (patch #s(approx (/ (* (+ y x) (- x y)) (+ y x)) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (+ x (* (fabs (- x y)) (pow (sqrt 1/2) 2))) (taylor 0 y) (#s(alt (fma.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fabs.f64 (-.f64 x y))) (sqrt.f64 #s(literal 1/2 binary64)) x) (patch (fma.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fabs.f64 (-.f64 x y))) (sqrt.f64 #s(literal 1/2 binary64)) x) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (- (* -1/2 (/ (fabs (- (pow y 2) (pow x 2))) (* x (fabs (- y (* -1 x)))))) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 (+.f64 y x))) (fabs.f64 (fma.f64 (neg.f64 x) x (.f64 y y))) x) (patch (fma.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 (+.f64 y x))) (fabs.f64 (fma.f64 (neg.f64 x) x (.f64 y y))) x) #<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 (fma.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 (+.f64 y x))) (fabs.f64 (fma.f64 (neg.f64 x) x (.f64 y y))) x) (patch (fma.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 (+.f64 y x))) (fabs.f64 (fma.f64 (neg.f64 x) x (.f64 y y))) x) #<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 (fma.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 (+.f64 y x))) (fabs.f64 (fma.f64 (neg.f64 x) x (.f64 y y))) x) (patch (fma.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 (+.f64 y x))) (fabs.f64 (fma.f64 (neg.f64 x) x (.f64 y 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 (/ 1/2 (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 (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 x (taylor -inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (fma.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) x) (patch (fma.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (* (fabs (+ y (* -1 x))) (pow (sqrt 1/2) 2)) x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) x) (patch (fma.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (* (fabs (+ y (* -1 x))) (pow (sqrt 1/2) 2)) x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) x) (patch (fma.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (* (fabs (+ y (* -1 x))) (pow (sqrt 1/2) 2)) x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) x) (patch (fma.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) x) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (fabs (+ y (* -1 x)))) (sqrt 1/2)) (taylor -inf x) (#s(alt (sqrt.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (patch (sqrt.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (fabs (+ y (* -1 x)))) (sqrt 1/2)) (taylor -inf x) (#s(alt (sqrt.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (patch (sqrt.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (fabs (+ y (* -1 x)))) (sqrt 1/2)) (taylor -inf x) (#s(alt (sqrt.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (patch (sqrt.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (fabs (+ y (* -1 x)))) (sqrt 1/2)) (taylor -inf x) (#s(alt (sqrt.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (patch (sqrt.f64 (.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 (* 1/2 (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 (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 (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
98.0ms	x	@	inf	((+ (* (/ (fabs (- x y)) (sqrt 2)) (sqrt 1/2)) x) (/ (fabs (- x y)) (sqrt 2)) (fabs (- x y)) (- x y) (+ (* (fabs (/ (* (+ y x) (- x y)) (+ y x))) 1/2) x) (fabs (/ (* (+ y x) (- x y)) (+ y x))) (/ (* (+ y x) (- x y)) (+ y x)) (neg y) (+ (* (* (sqrt 1/2) (fabs (- x y))) (sqrt 1/2)) x) (* (sqrt 1/2) (fabs (- x y))) (sqrt 1/2) (+ (* (/ 1/2 (fabs (+ y x))) (fabs (+ (* (neg x) x) (* y y)))) x) (/ 1/2 (fabs (+ y x))) (fabs (+ y x)) (+ y x) (+ (* (sqrt (* 1/2 (fabs (- y x)))) (sqrt (* 1/2 (fabs (- y x))))) x) (sqrt (* 1/2 (fabs (- y x)))) (* 1/2 (fabs (- y x))) (fabs (- y x)) (+ (* (neg x) x) (* y y)))
9.0ms	y	@	-inf	((+ (* (/ (fabs (- x y)) (sqrt 2)) (sqrt 1/2)) x) (/ (fabs (- x y)) (sqrt 2)) (fabs (- x y)) (- x y) (+ (* (fabs (/ (* (+ y x) (- x y)) (+ y x))) 1/2) x) (fabs (/ (* (+ y x) (- x y)) (+ y x))) (/ (* (+ y x) (- x y)) (+ y x)) (neg y) (+ (* (* (sqrt 1/2) (fabs (- x y))) (sqrt 1/2)) x) (* (sqrt 1/2) (fabs (- x y))) (sqrt 1/2) (+ (* (/ 1/2 (fabs (+ y x))) (fabs (+ (* (neg x) x) (* y y)))) x) (/ 1/2 (fabs (+ y x))) (fabs (+ y x)) (+ y x) (+ (* (sqrt (* 1/2 (fabs (- y x)))) (sqrt (* 1/2 (fabs (- y x))))) x) (sqrt (* 1/2 (fabs (- y x)))) (* 1/2 (fabs (- y x))) (fabs (- y x)) (+ (* (neg x) x) (* y y)))
6.0ms	y	@	0	((+ (* (/ (fabs (- x y)) (sqrt 2)) (sqrt 1/2)) x) (/ (fabs (- x y)) (sqrt 2)) (fabs (- x y)) (- x y) (+ (* (fabs (/ (* (+ y x) (- x y)) (+ y x))) 1/2) x) (fabs (/ (* (+ y x) (- x y)) (+ y x))) (/ (* (+ y x) (- x y)) (+ y x)) (neg y) (+ (* (* (sqrt 1/2) (fabs (- x y))) (sqrt 1/2)) x) (* (sqrt 1/2) (fabs (- x y))) (sqrt 1/2) (+ (* (/ 1/2 (fabs (+ y x))) (fabs (+ (* (neg x) x) (* y y)))) x) (/ 1/2 (fabs (+ y x))) (fabs (+ y x)) (+ y x) (+ (* (sqrt (* 1/2 (fabs (- y x)))) (sqrt (* 1/2 (fabs (- y x))))) x) (sqrt (* 1/2 (fabs (- y x)))) (* 1/2 (fabs (- y x))) (fabs (- y x)) (+ (* (neg x) x) (* y y)))
4.0ms	x	@	-inf	((+ (* (/ (fabs (- x y)) (sqrt 2)) (sqrt 1/2)) x) (/ (fabs (- x y)) (sqrt 2)) (fabs (- x y)) (- x y) (+ (* (fabs (/ (* (+ y x) (- x y)) (+ y x))) 1/2) x) (fabs (/ (* (+ y x) (- x y)) (+ y x))) (/ (* (+ y x) (- x y)) (+ y x)) (neg y) (+ (* (* (sqrt 1/2) (fabs (- x y))) (sqrt 1/2)) x) (* (sqrt 1/2) (fabs (- x y))) (sqrt 1/2) (+ (* (/ 1/2 (fabs (+ y x))) (fabs (+ (* (neg x) x) (* y y)))) x) (/ 1/2 (fabs (+ y x))) (fabs (+ y x)) (+ y x) (+ (* (sqrt (* 1/2 (fabs (- y x)))) (sqrt (* 1/2 (fabs (- y x))))) x) (sqrt (* 1/2 (fabs (- y x)))) (* 1/2 (fabs (- y x))) (fabs (- y x)) (+ (* (neg x) x) (* y y)))
4.0ms	y	@	inf	((+ (* (/ (fabs (- x y)) (sqrt 2)) (sqrt 1/2)) x) (/ (fabs (- x y)) (sqrt 2)) (fabs (- x y)) (- x y) (+ (* (fabs (/ (* (+ y x) (- x y)) (+ y x))) 1/2) x) (fabs (/ (* (+ y x) (- x y)) (+ y x))) (/ (* (+ y x) (- x y)) (+ y x)) (neg y) (+ (* (* (sqrt 1/2) (fabs (- x y))) (sqrt 1/2)) x) (* (sqrt 1/2) (fabs (- x y))) (sqrt 1/2) (+ (* (/ 1/2 (fabs (+ y x))) (fabs (+ (* (neg x) x) (* y y)))) x) (/ 1/2 (fabs (+ y x))) (fabs (+ y x)) (+ y x) (+ (* (sqrt (* 1/2 (fabs (- y x)))) (sqrt (* 1/2 (fabs (- y x))))) x) (sqrt (* 1/2 (fabs (- y x)))) (* 1/2 (fabs (- y x))) (fabs (- y x)) (+ (* (neg x) x) (* y y)))

simplify123.0ms (1.9%)

Memory

12.7MiB live, 163.2MiB allocated

Algorithm

1×	egg-herbie

Rules

4 590×	`lower-fma.f64`
4 590×	`lower-fma.f32`
3 970×	`lower-*.f64`
3 970×	`lower-*.f32`
1 494×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	157	2747
1	413	2747
2	909	2747
3	3324	2735
4	7284	2735
0	8037	2630

Stop Event

1×	iter limit
1×	node limit

Counts

444 → 422

Calls

Call 1

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

rewrite248.0ms (3.8%)

Memory

-25.3MiB live, 322.6MiB allocated

Rules

4 338×	`lower-fma.f32`
4 326×	`lower-fma.f64`
4 056×	`lower-/.f32`
4 052×	`lower-/.f64`
3 888×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	163
0	63	153
1	224	129
2	1596	117
0	8899	113

Stop Event

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

Counts

20 → 1 021

Calls

Call 1

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

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

eval319.0ms (4.9%)

Memory: 21.4MiB live, 478.6MiB allocated
Compiler: Compiled 41 306 to 3 318 computations (92% saved)

prune181.0ms (2.8%)

Memory

-24.3MiB live, 455.7MiB allocated

Pruning

12 alts after pruning (5 fresh and 7 done)

	Pruned	Kept	Total
New	1 958	2	1 960
Fresh	1	3	4
Picked	1	4	5
Done	0	3	3
Total	1 960	12	1 972

Accuracy

100.0%

Counts

1 972 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.7%	(fma.f64 (/.f64 (fabs.f64 (-.f64 x y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) x)
	99.6%	(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fabs.f64 (-.f64 y x)))) (sqrt.f64 #s(literal 1/2 binary64)) x)
	27.7%	(fma.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 (+.f64 y x))) (fabs.f64 #s(approx (+ (* (neg x) x) (* y y)) (*.f64 (neg.f64 x) x))) x)
	49.0%	(fma.f64 (*.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (-.f64 x y))) #s(literal 1/2 binary64) x)
	99.3%	(fma.f64 (*.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64)) (sqrt.f64 (fabs.f64 (-.f64 x y))) x)
✓	98.8%	(fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fabs.f64 (-.f64 x y))) (sqrt.f64 #s(literal 1/2 binary64)) x)
✓	99.3%	(fma.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) x)
	27.8%	(fma.f64 (fabs.f64 (/.f64 #s(approx (* (+ y x) (- x y)) (*.f64 x x)) (+.f64 y x))) #s(literal 1/2 binary64) x)
✓	99.9%	(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
✓	59.6%	(fma.f64 (fabs.f64 #s(approx (/ (* (+ y x) (- x y)) (+ y x)) (neg.f64 y))) #s(literal 1/2 binary64) x)
✓	99.7%	(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 y x)))))
✓	7.2%	#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64)))

Compiler

Compiled 461 to 205 computations (55.5% saved)

regimes24.0ms (0.4%)

Memory

29.3MiB live, 68.8MiB allocated

Counts

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

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

Calls

3 calls:

8.0ms	y
7.0ms	x
7.0ms	(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))

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)

regimes9.0ms (0.1%)

Memory

-21.9MiB live, 21.7MiB allocated

Counts

4 → 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 #s(approx (/ (* (+ y x) (- x y)) (+ y x)) (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:

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

Results

Accuracy	Segments	Branch
59.6%	1	`x`
59.6%	1	`y`
59.6%	1	`(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))`

Compiler

Compiled 10 to 11 computations (-10% saved)

regimes5.0ms (0.1%)

Memory

17.4MiB live, 17.4MiB 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:

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

Results

Accuracy	Segments	Branch
54.9%	1	`x`
54.9%	1	`(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))`
54.9%	1	`y`

Compiler

Compiled 10 to 11 computations (-10% saved)

regimes5.0ms (0.1%)

Memory

-25.4MiB live, 14.3MiB 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:

2.0ms	y
1.0ms	(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
1.0ms	x

Results

Accuracy	Segments	Branch
7.2%	1	`y`
7.2%	1	`x`
7.2%	1	`(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))`

Compiler

Compiled 10 to 11 computations (-10% saved)

simplify23.0ms (0.3%)

Memory

31.9MiB live, 71.5MiB 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)))

soundness663.0ms (10.1%)

Memory

-30.8MiB live, 332.1MiB allocated

Rules

8 518×	`lower-fma.f64`
8 518×	`lower-fma.f32`
4 906×	`lower-fma.f64`
4 906×	`lower-fma.f32`
4 404×	`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	251	3952
1	653	3930
2	1562	3892
3	5840	3892
0	8478	3771

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)

preprocess46.0ms (0.7%)

Memory: 24.2MiB live, 72.4MiB 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%)

sample873.0ms (13.3%)

explain71.0ms (1.1%)

preprocess42.0ms (0.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify15.0ms (0.2%)

localize19.0ms (0.3%)

series7.0ms (0.1%)

simplify120.0ms (1.8%)

rewrite158.0ms (2.4%)

eval42.0ms (0.6%)

prune38.0ms (0.6%)

simplify124.0ms (1.9%)

localize157.0ms (2.4%)

series69.0ms (1.1%)

simplify195.0ms (3%)

rewrite275.0ms (4.2%)

eval485.0ms (7.4%)

prune522.0ms (7.9%)

simplify114.0ms (1.7%)

localize96.0ms (1.5%)

series54.0ms (0.8%)

simplify138.0ms (2.1%)

rewrite171.0ms (2.6%)

eval418.0ms (6.4%)

prune204.0ms (3.1%)

simplify204.0ms (3.1%)

localize178.0ms (2.7%)

series134.0ms (2%)

simplify123.0ms (1.9%)

rewrite248.0ms (3.8%)

eval319.0ms (4.9%)

prune181.0ms (2.8%)

regimes24.0ms (0.4%)

regimes9.0ms (0.1%)

regimes5.0ms (0.1%)

regimes5.0ms (0.1%)

simplify23.0ms (0.3%)

soundness663.0ms (10.1%)

preprocess46.0ms (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