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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.9MiB live, 0.9MiB 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)

sample922.0ms (14.5%)

Memory

13.7MiB live, 970.6MiB allocated

Samples

593.0ms	7 940×	0	valid
14.0ms	113×	2	valid
13.0ms	75×	3	valid
11.0ms	128×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 364.0ms

ival-div: 116.0ms (31.9% of total)

ival-sub: 116.0ms (31.9% of total)

ival-fabs: 66.0ms (18.1% of total)

ival-add: 43.0ms (11.8% of total)

adjust: 9.0ms (2.5% of total)

ival-true: 5.0ms (1.4% of total)

exact: 5.0ms (1.4% of total)

ival-assert: 3.0ms (0.8% of total)

Bogosity

explain91.0ms (1.4%)

Memory

17.6MiB live, 101.4MiB 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

37.0ms	492×	0	valid
1.0ms	10×	2	valid
1.0ms	8×	1	valid
0.0ms	2×	3	valid

Compiler

Compiled 60 to 25 computations (58.3% saved)

Precisions

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

ival-div: 3.0ms (22.6% of total)

ival-sub: 3.0ms (22.6% of total)

ival-fabs: 3.0ms (22.6% of total)

ival-add: 2.0ms (15% of total)

adjust: 1.0ms (7.5% of total)

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

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

exact: 0.0ms (0% of total)

preprocess94.0ms (1.5%)

Memory

-30.6MiB live, 46.3MiB 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: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 8 to 7 computations (12.5% saved)

simplify14.0ms (0.2%)

Memory

17.7MiB live, 17.7MiB 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)

localize25.0ms (0.4%)

Memory

0.4MiB live, 39.4MiB allocated

Localize:

Found 4 expressions of interest:

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

Samples

18.0ms	246×	0	valid
1.0ms	5×	2	valid
0.0ms	4×	1	valid
0.0ms	1×	3	valid

Compiler

Compiled 26 to 9 computations (65.4% saved)

Precisions

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

ival-div: 2.0ms (30.9% of total)

ival-sub: 1.0ms (15.5% of total)

ival-fabs: 1.0ms (15.5% of total)

ival-add: 1.0ms (15.5% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory

13.7MiB live, 13.7MiB allocated

Counts

4 → 96

Calls

Call 1

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

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

Calls

6 calls:

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

simplify162.0ms (2.6%)

Memory

1.1MiB live, 162.0MiB 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)

rewrite184.0ms (2.9%)

Memory

-2.2MiB live, 274.0MiB 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 x y (hypot.f64 x 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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(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))) (hypot.f64 x 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) (hypot.f64 x 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 x y (hypot.f64 x 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 x y (hypot.f64 x y)) #s(literal -1 binary64))) (hypot.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (.f64 x y) #s(literal 3/2 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 x y (hypot.f64 x y))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x y (hypot.f64 x y))) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 x y (hypot.f64 x y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x y (hypot.f64 x 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 x y (hypot.f64 x y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x y (hypot.f64 x y))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 x y (hypot.f64 x y))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x y (hypot.f64 x y))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 x y (hypot.f64 x y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x y (hypot.f64 x 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 x y (hypot.f64 x y)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 x y (hypot.f64 x y)))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 x y (hypot.f64 x 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 (hypot.f64 x 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) (hypot.f64 x 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 x y (hypot.f64 x y))))
(/.f64 (.f64 (-.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) #s(literal 1 binary64)) (.f64 (hypot.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (*.f64 x y) #s(literal 3/2 binary64))) (fma.f64 x y (hypot.f64 x 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 x y (hypot.f64 x y))) (.f64 (fma.f64 x y (hypot.f64 x y)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 x y (hypot.f64 x 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) (hypot.f64 x y)))
(/.f64 (-.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (.f64 (fma.f64 x y (hypot.f64 x y)) (hypot.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (.f64 x y) #s(literal 3/2 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) (hypot.f64 x 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 x y (hypot.f64 x 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 x y (hypot.f64 x 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 x y (hypot.f64 x y)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x y (hypot.f64 x 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)))) (-.f64 (hypot.f64 x y) (.f64 x 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 x y (hypot.f64 x 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 x y (hypot.f64 x y)))))
(fma.f64 (pow.f64 y #s(literal 3/2 binary64)) (/.f64 (pow.f64 y #s(literal 3/2 binary64)) (fma.f64 x y (hypot.f64 x y))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x y (hypot.f64 x 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 x y (hypot.f64 x y))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x y (hypot.f64 x 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 x y (hypot.f64 x y)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x y (hypot.f64 x 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 x y (hypot.f64 x y))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x y (hypot.f64 x 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 x y (hypot.f64 x y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x y (hypot.f64 x 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 x y (hypot.f64 x y))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x y (hypot.f64 x y)))))
(+.f64 (neg.f64 x) (neg.f64 (neg.f64 y)))
(+.f64 (neg.f64 x) y)
(+.f64 y (neg.f64 x))

eval43.0ms (0.7%)

Memory: -5.8MiB live, 75.6MiB allocated
Compiler: Compiled 6 000 to 927 computations (84.6% saved)

prune14.0ms (0.2%)

Memory

-5.3MiB live, 32.8MiB 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
▶	99.9%	(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
	55.7%	(/.f64 (fma.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal -1/4 binary64) (*.f64 x x)) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x))
	99.7%	(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x) #s(literal -1 binary64)))
▶	57.2%	(+.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (+.f64 x y)) (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y))))) #s(literal 2 binary64)))
▶	90.4%	(+.f64 x (/.f64 (fabs.f64 (.f64 (fma.f64 x y (hypot.f64 x y)) (.f64 (-.f64 y x) (pow.f64 (fma.f64 x y (hypot.f64 x y)) #s(literal -1 binary64))))) #s(literal 2 binary64)))
▶	99.7%	(+.f64 x (/.f64 (fabs.f64 (.f64 (+.f64 x y) (.f64 (-.f64 y x) (pow.f64 (+.f64 x y) #s(literal -1 binary64))))) #s(literal 2 binary64)))
	99.7%	(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y)))))
▶	52.9%	#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)))

Compiler

Compiled 228 to 166 computations (27.2% saved)

simplify126.0ms (2%)

Memory

10.5MiB live, 164.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	128	(+.f64 x (/.f64 (fabs.f64 (.f64 (fma.f64 x y (hypot.f64 x y)) (.f64 (-.f64 y x) (pow.f64 (fma.f64 x y (hypot.f64 x y)) #s(literal -1 binary64))))) #s(literal 2 binary64)))
cost-diff	384	(/.f64 (fabs.f64 (.f64 (fma.f64 x y (hypot.f64 x y)) (.f64 (-.f64 y x) (pow.f64 (fma.f64 x y (hypot.f64 x y)) #s(literal -1 binary64))))) #s(literal 2 binary64))
cost-diff	6080	(*.f64 (-.f64 y x) (pow.f64 (fma.f64 x y (hypot.f64 x y)) #s(literal -1 binary64)))
cost-diff	14720	(.f64 (fma.f64 x y (hypot.f64 x y)) (.f64 (-.f64 y x) (pow.f64 (fma.f64 x y (hypot.f64 x y)) #s(literal -1 binary64))))
cost-diff	128	(+.f64 x (/.f64 (fabs.f64 (.f64 (+.f64 x y) (.f64 (-.f64 y x) (pow.f64 (+.f64 x y) #s(literal -1 binary64))))) #s(literal 2 binary64)))
cost-diff	384	(/.f64 (fabs.f64 (.f64 (+.f64 x y) (.f64 (-.f64 y x) (pow.f64 (+.f64 x y) #s(literal -1 binary64))))) #s(literal 2 binary64))
cost-diff	1408	(.f64 (+.f64 x y) (.f64 (-.f64 y x) (pow.f64 (+.f64 x y) #s(literal -1 binary64))))
cost-diff	6080	(*.f64 (-.f64 y x) (pow.f64 (+.f64 x y) #s(literal -1 binary64)))
cost-diff	128	(+.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (+.f64 x y)) (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y))))) #s(literal 2 binary64)))
cost-diff	384	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (+.f64 x y)) (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y))))) #s(literal 2 binary64))
cost-diff	832	(/.f64 (fabs.f64 (+.f64 x y)) (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y))))
cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (+.f64 x y)) (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)))))
cost-diff	0	(-.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

8 200×	`lower-fma.f32`
8 194×	`lower-fma.f64`
4 614×	`lower-*.f32`
4 602×	`lower-*.f64`
2 220×	`lower-+.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	41	349
0	75	209
1	118	209
2	234	205
3	797	204
4	6120	197
0	8311	197

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

localize130.0ms (2%)

Memory

4.1MiB live, 238.4MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.2500496328237418	(pow.f64 (fma.f64 x y (hypot.f64 x y)) #s(literal -1 binary64))
accuracy	27.334227256341954	(.f64 (fma.f64 x y (hypot.f64 x y)) (.f64 (-.f64 y x) (pow.f64 (fma.f64 x y (hypot.f64 x y)) #s(literal -1 binary64))))
accuracy	27.749739260764958	(*.f64 (-.f64 y x) (pow.f64 (fma.f64 x y (hypot.f64 x y)) #s(literal -1 binary64)))
accuracy	59.69556381698888	(hypot.f64 x y)
accuracy	0	(fabs.f64 (.f64 (+.f64 x y) (.f64 (-.f64 y x) (pow.f64 (+.f64 x y) #s(literal -1 binary64)))))
accuracy	0.01171875	(pow.f64 (+.f64 x y) #s(literal -1 binary64))
accuracy	0.04296875	(+.f64 x (/.f64 (fabs.f64 (.f64 (+.f64 x y) (.f64 (-.f64 y x) (pow.f64 (+.f64 x y) #s(literal -1 binary64))))) #s(literal 2 binary64)))
accuracy	0.1484375	(*.f64 (-.f64 y x) (pow.f64 (+.f64 x y) #s(literal -1 binary64)))
accuracy	0.04296875	(+.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (+.f64 x y)) (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y))))) #s(literal 2 binary64)))
accuracy	0.19921875	(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (+.f64 x y)) (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)))))
accuracy	1.2538924880278013	(fma.f64 (neg.f64 x) x (*.f64 y y))
accuracy	27.284191559785395	(/.f64 (fabs.f64 (+.f64 x y)) (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y))))
accuracy	0	(-.f64 y x)
accuracy	0	(*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))
accuracy	0	(fabs.f64 (-.f64 y x))
accuracy	30.11257200217845	#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)))
accuracy	0	(-.f64 x y)
accuracy	0	(fabs.f64 (-.f64 x y))
accuracy	0.04296875	(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)

Samples

68.0ms	233×	0	valid
6.0ms	11×	1	valid
6.0ms	7×	2	valid
6.0ms	5×	3	valid

Compiler

Compiled 410 to 44 computations (89.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 65.0ms

ival-mult: 15.0ms (23.2% of total)

ival-add: 14.0ms (21.6% of total)

ival-div: 10.0ms (15.5% of total)

ival-pow: 9.0ms (13.9% of total)

ival-fabs: 8.0ms (12.4% of total)

adjust: 3.0ms (4.6% of total)

ival-sub: 3.0ms (4.6% of total)

ival-neg: 1.0ms (1.5% of total)

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

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

exact: 0.0ms (0% of total)

series77.0ms (1.2%)

Memory

2.2MiB live, 122.9MiB allocated

Counts

24 → 576

Calls

Call 1

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

Calls

6 calls:

Time	Variable		Point	Expression
31.0ms	y	@	inf	((+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (+ x (/ (fabs (- y x)) 2)) (* (fabs (- y x)) 1/2) (fabs (- y x)) (- y x) (/ 1 (/ (fabs (+ x y)) (fabs (+ (* (neg x) x) (* y y))))) (/ (fabs (+ x y)) (fabs (+ (* (neg x) x) (* y y)))) (/ (/ 1 (/ (fabs (+ x y)) (fabs (+ (* (neg x) x) (* y y))))) 2) (+ x (/ (/ 1 (/ (fabs (+ x y)) (fabs (+ (* (neg x) x) (* y y))))) 2)) (* (- y x) (pow (+ x y) -1)) (* (+ x y) (* (- y x) (pow (+ x y) -1))) (/ (fabs (* (+ x y) (* (- y x) (pow (+ x y) -1)))) 2) (+ x (/ (fabs (* (+ x y) (* (- y x) (pow (+ x y) -1)))) 2)) (* (+ (* x y) (+ (* x x) (* y y))) (* (- y x) (pow (+ (* x y) (+ (* x x) (* y y))) -1))) (* (- y x) (pow (+ (* x y) (+ (* x x) (* y y))) -1)) (/ (fabs (* (+ (* x y) (+ (* x x) (* y y))) (* (- y x) (pow (+ (* x y) (+ (* x x) (* y y))) -1)))) 2) (+ x (/ (fabs (* (+ (* x y) (+ (* x x) (* y y))) (* (- y x) (pow (+ (* x y) (+ (* x x) (* y y))) -1)))) 2)) (+ (* (neg x) x) (* y y)) (pow (+ x y) -1) (fabs (* (+ x y) (* (- y x) (pow (+ x y) -1)))) (+ (* x x) (* y y)) (pow (+ (* x y) (+ (* x x) (* y y))) -1))
7.0ms	y	@	-inf	((+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (+ x (/ (fabs (- y x)) 2)) (* (fabs (- y x)) 1/2) (fabs (- y x)) (- y x) (/ 1 (/ (fabs (+ x y)) (fabs (+ (* (neg x) x) (* y y))))) (/ (fabs (+ x y)) (fabs (+ (* (neg x) x) (* y y)))) (/ (/ 1 (/ (fabs (+ x y)) (fabs (+ (* (neg x) x) (* y y))))) 2) (+ x (/ (/ 1 (/ (fabs (+ x y)) (fabs (+ (* (neg x) x) (* y y))))) 2)) (* (- y x) (pow (+ x y) -1)) (* (+ x y) (* (- y x) (pow (+ x y) -1))) (/ (fabs (* (+ x y) (* (- y x) (pow (+ x y) -1)))) 2) (+ x (/ (fabs (* (+ x y) (* (- y x) (pow (+ x y) -1)))) 2)) (* (+ (* x y) (+ (* x x) (* y y))) (* (- y x) (pow (+ (* x y) (+ (* x x) (* y y))) -1))) (* (- y x) (pow (+ (* x y) (+ (* x x) (* y y))) -1)) (/ (fabs (* (+ (* x y) (+ (* x x) (* y y))) (* (- y x) (pow (+ (* x y) (+ (* x x) (* y y))) -1)))) 2) (+ x (/ (fabs (* (+ (* x y) (+ (* x x) (* y y))) (* (- y x) (pow (+ (* x y) (+ (* x x) (* y y))) -1)))) 2)) (+ (* (neg x) x) (* y y)) (pow (+ x y) -1) (fabs (* (+ x y) (* (- y x) (pow (+ x y) -1)))) (+ (* x x) (* y y)) (pow (+ (* x y) (+ (* x x) (* y 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) (/ 1 (/ (fabs (+ x y)) (fabs (+ (* (neg x) x) (* y y))))) (/ (fabs (+ x y)) (fabs (+ (* (neg x) x) (* y y)))) (/ (/ 1 (/ (fabs (+ x y)) (fabs (+ (* (neg x) x) (* y y))))) 2) (+ x (/ (/ 1 (/ (fabs (+ x y)) (fabs (+ (* (neg x) x) (* y y))))) 2)) (* (- y x) (pow (+ x y) -1)) (* (+ x y) (* (- y x) (pow (+ x y) -1))) (/ (fabs (* (+ x y) (* (- y x) (pow (+ x y) -1)))) 2) (+ x (/ (fabs (* (+ x y) (* (- y x) (pow (+ x y) -1)))) 2)) (* (+ (* x y) (+ (* x x) (* y y))) (* (- y x) (pow (+ (* x y) (+ (* x x) (* y y))) -1))) (* (- y x) (pow (+ (* x y) (+ (* x x) (* y y))) -1)) (/ (fabs (* (+ (* x y) (+ (* x x) (* y y))) (* (- y x) (pow (+ (* x y) (+ (* x x) (* y y))) -1)))) 2) (+ x (/ (fabs (* (+ (* x y) (+ (* x x) (* y y))) (* (- y x) (pow (+ (* x y) (+ (* x x) (* y y))) -1)))) 2)) (+ (* (neg x) x) (* y y)) (pow (+ x y) -1) (fabs (* (+ x y) (* (- y x) (pow (+ x y) -1)))) (+ (* x x) (* y y)) (pow (+ (* x y) (+ (* x x) (* y y))) -1))
4.0ms	y	@	0	((+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (+ x (/ (fabs (- y x)) 2)) (* (fabs (- y x)) 1/2) (fabs (- y x)) (- y x) (/ 1 (/ (fabs (+ x y)) (fabs (+ (* (neg x) x) (* y y))))) (/ (fabs (+ x y)) (fabs (+ (* (neg x) x) (* y y)))) (/ (/ 1 (/ (fabs (+ x y)) (fabs (+ (* (neg x) x) (* y y))))) 2) (+ x (/ (/ 1 (/ (fabs (+ x y)) (fabs (+ (* (neg x) x) (* y y))))) 2)) (* (- y x) (pow (+ x y) -1)) (* (+ x y) (* (- y x) (pow (+ x y) -1))) (/ (fabs (* (+ x y) (* (- y x) (pow (+ x y) -1)))) 2) (+ x (/ (fabs (* (+ x y) (* (- y x) (pow (+ x y) -1)))) 2)) (* (+ (* x y) (+ (* x x) (* y y))) (* (- y x) (pow (+ (* x y) (+ (* x x) (* y y))) -1))) (* (- y x) (pow (+ (* x y) (+ (* x x) (* y y))) -1)) (/ (fabs (* (+ (* x y) (+ (* x x) (* y y))) (* (- y x) (pow (+ (* x y) (+ (* x x) (* y y))) -1)))) 2) (+ x (/ (fabs (* (+ (* x y) (+ (* x x) (* y y))) (* (- y x) (pow (+ (* x y) (+ (* x x) (* y y))) -1)))) 2)) (+ (* (neg x) x) (* y y)) (pow (+ x y) -1) (fabs (* (+ x y) (* (- y x) (pow (+ x y) -1)))) (+ (* x x) (* y y)) (pow (+ (* x y) (+ (* x x) (* y y))) -1))
4.0ms	x	@	-inf	((+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (+ x (/ (fabs (- y x)) 2)) (* (fabs (- y x)) 1/2) (fabs (- y x)) (- y x) (/ 1 (/ (fabs (+ x y)) (fabs (+ (* (neg x) x) (* y y))))) (/ (fabs (+ x y)) (fabs (+ (* (neg x) x) (* y y)))) (/ (/ 1 (/ (fabs (+ x y)) (fabs (+ (* (neg x) x) (* y y))))) 2) (+ x (/ (/ 1 (/ (fabs (+ x y)) (fabs (+ (* (neg x) x) (* y y))))) 2)) (* (- y x) (pow (+ x y) -1)) (* (+ x y) (* (- y x) (pow (+ x y) -1))) (/ (fabs (* (+ x y) (* (- y x) (pow (+ x y) -1)))) 2) (+ x (/ (fabs (* (+ x y) (* (- y x) (pow (+ x y) -1)))) 2)) (* (+ (* x y) (+ (* x x) (* y y))) (* (- y x) (pow (+ (* x y) (+ (* x x) (* y y))) -1))) (* (- y x) (pow (+ (* x y) (+ (* x x) (* y y))) -1)) (/ (fabs (* (+ (* x y) (+ (* x x) (* y y))) (* (- y x) (pow (+ (* x y) (+ (* x x) (* y y))) -1)))) 2) (+ x (/ (fabs (* (+ (* x y) (+ (* x x) (* y y))) (* (- y x) (pow (+ (* x y) (+ (* x x) (* y y))) -1)))) 2)) (+ (* (neg x) x) (* y y)) (pow (+ x y) -1) (fabs (* (+ x y) (* (- y x) (pow (+ x y) -1)))) (+ (* x x) (* y y)) (pow (+ (* x y) (+ (* x x) (* y y))) -1))

simplify187.0ms (2.9%)

Memory

-2.7MiB live, 307.9MiB allocated

Algorithm

1×	egg-herbie

Rules

8 082×	`lower-fma.f64`
8 082×	`lower-fma.f32`
3 254×	`lower-*.f64`
3 254×	`lower-*.f32`
2 416×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	535	5394
1	1623	5166
2	4682	5037
0	8405	4741

Stop Event

1×	iter limit
1×	node limit

Counts

576 → 554

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

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

rewrite338.0ms (5.3%)

Memory

-0.9MiB live, 457.8MiB allocated

Rules

5 090×	`lower-fma.f32`
5 084×	`lower-fma.f64`
4 294×	`lower-/.f32`
4 288×	`lower-/.f64`
3 992×	`lower-*.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	41	276
0	75	150
1	292	140
2	2409	140
0	8526	140

Stop Event

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

Counts

24 → 1 455

Calls

Call 1

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

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

eval425.0ms (6.7%)

Memory: 23.4MiB live, 595.8MiB allocated
Compiler: Compiled 63 722 to 6 863 computations (89.2% saved)

prune75.0ms (1.2%)

Memory

-11.2MiB live, 183.1MiB allocated

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	2 376	8	2 384
Fresh	1	2	3
Picked	4	1	5
Done	0	0	0
Total	2 381	11	2 392

Accuracy

100.0%

Counts

2 392 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	34.6%	(fma.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (.f64 (fabs.f64 (fma.f64 (neg.f64 x) x (.f64 y y))) #s(literal 1/2 binary64)) x)
✓	99.9%	(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
▶	87.2%	(fma.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y))) #s(literal 1/2 binary64) x)
	57.8%	(fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x)
	55.7%	(/.f64 (fma.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal -1/4 binary64) (*.f64 x x)) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x))
	99.7%	(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x) #s(literal -1 binary64)))
▶	46.5%	(+.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (+.f64 x y)) (fabs.f64 #s(approx (+ (* (neg x) x) (* y y)) (.f64 (.f64 (fma.f64 (/.f64 (neg.f64 x) y) (/.f64 x y) #s(literal 1 binary64)) y) y))))) #s(literal 2 binary64)))
	90.4%	(+.f64 x (/.f64 (fabs.f64 (.f64 (fma.f64 x y (hypot.f64 x y)) (.f64 (-.f64 y x) (/.f64 #s(literal 1 binary64) (fma.f64 y x (hypot.f64 y x)))))) #s(literal 2 binary64)))
	53.1%	(+.f64 x (/.f64 (fabs.f64 (.f64 (+.f64 x y) (.f64 (-.f64 y x) #s(approx (pow (+ x y) -1) (/.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64)))
▶	99.7%	(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 y x)))))
▶	7.6%	#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64)))

Compiler

Compiled 305 to 234 computations (23.3% saved)

simplify212.0ms (3.3%)

Memory

17.3MiB live, 135.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 y x)
cost-diff	0	(pow.f64 (+.f64 y x) #s(literal -1 binary64))
cost-diff	128	(fma.f64 (neg.f64 x) x (*.f64 y y))
cost-diff	6080	(fma.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (.f64 (fabs.f64 (fma.f64 (neg.f64 x) x (.f64 y y))) #s(literal 1/2 binary64)) x)
cost-diff	384	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (+.f64 x y)) (fabs.f64 #s(approx (+ (* (neg x) x) (* y y)) (.f64 (.f64 (fma.f64 (/.f64 (neg.f64 x) y) (/.f64 x y) #s(literal 1 binary64)) y) y))))) #s(literal 2 binary64))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (+.f64 x y)) (fabs.f64 #s(approx (+ (* (neg x) x) (* y y)) (.f64 (.f64 (fma.f64 (/.f64 (neg.f64 x) y) (/.f64 x y) #s(literal 1 binary64)) y) y)))))
cost-diff	832	(.f64 (.f64 (fma.f64 (/.f64 (neg.f64 x) y) (/.f64 x y) #s(literal 1 binary64)) y) y)
cost-diff	1024	(*.f64 (fma.f64 (/.f64 (neg.f64 x) y) (/.f64 x y) #s(literal 1 binary64)) y)
cost-diff	0	#s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y))
cost-diff	0	(fabs.f64 #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)))
cost-diff	0	(fma.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y))) #s(literal 1/2 binary64) x)
cost-diff	1024	(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)
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

7 302×	`lower-fma.f32`
7 294×	`lower-fma.f64`
3 448×	`lower-*.f32`
3 436×	`lower-*.f64`
992×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	411
0	84	413
1	129	409
2	198	406
3	346	406
4	957	338
5	2576	338
6	4285	338
7	6209	338
0	8014	335

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

localize163.0ms (2.6%)

Memory

-11.2MiB live, 163.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)))
accuracy	0.01171875	(pow.f64 (+.f64 y x) #s(literal -1 binary64))
accuracy	1.2538924880278013	(fma.f64 (neg.f64 x) x (*.f64 y y))
accuracy	26.98423003664765	(fma.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (.f64 (fabs.f64 (fma.f64 (neg.f64 x) x (.f64 y y))) #s(literal 1/2 binary64)) x)
accuracy	0.19921875	(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (+.f64 x y)) (fabs.f64 #s(approx (+ (* (neg x) x) (* y y)) (.f64 (.f64 (fma.f64 (/.f64 (neg.f64 x) y) (/.f64 x y) #s(literal 1 binary64)) y) y)))))
accuracy	2.6626857271231255	(.f64 (.f64 (fma.f64 (/.f64 (neg.f64 x) y) (/.f64 x y) #s(literal 1 binary64)) y) y)
accuracy	4.051695596080037	(*.f64 (fma.f64 (/.f64 (neg.f64 x) y) (/.f64 x y) #s(literal 1 binary64)) y)
accuracy	27.284191559785395	(/.f64 (fabs.f64 (+.f64 x y)) (fabs.f64 #s(approx (+ (* (neg x) x) (* y y)) (.f64 (.f64 (fma.f64 (/.f64 (neg.f64 x) y) (/.f64 x y) #s(literal 1 binary64)) y) y))))
accuracy	0	(fabs.f64 #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)))
accuracy	0	#s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y))
accuracy	0.04296875	(fma.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y))) #s(literal 1/2 binary64) x)
accuracy	7.97243102331669	(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)
accuracy	0	(neg.f64 x)
accuracy	0	(fabs.f64 #s(approx (- y x) (neg.f64 x)))
accuracy	30.11257200217845	#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64)))
accuracy	30.92950549975315	#s(approx (- y x) (neg.f64 x))
accuracy	0	(fabs.f64 (-.f64 y x))
accuracy	0.01953125	(/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 y x)))
accuracy	0.04296875	(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 y x)))))
accuracy	0.19921875	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 y x))))

Samples

70.0ms	215×	0	valid
16.0ms	10×	3	valid
12.0ms	20×	1	valid
9.0ms	11×	2	valid

Compiler

Compiled 301 to 44 computations (85.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 78.0ms

ival-div: 21.0ms (27.1% of total)

ival-mult: 17.0ms (21.9% of total)

ival-add: 12.0ms (15.5% of total)

ival-sub: 9.0ms (11.6% of total)

adjust: 6.0ms (7.7% of total)

ival-fabs: 6.0ms (7.7% of total)

ival-pow: 5.0ms (6.4% of total)

exact: 1.0ms (1.3% of total)

ival-neg: 1.0ms (1.3% of total)

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

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

series61.0ms (1%)

Memory

-16.6MiB live, 55.7MiB allocated

Counts

23 → 540

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

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

Calls

6 calls:

Time	Variable		Point	Expression
22.0ms	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) (* (- (/ x y) 1) y) (+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (* (+ (* (/ (neg x) y) (/ x y)) 1) y) (* (* (+ (* (/ (neg x) y) (/ x y)) 1) y) y) (/ 1 (/ (fabs (+ x y)) (fabs (+ (* (neg x) x) (* y y))))) (/ (/ 1 (/ (fabs (+ x y)) (fabs (+ (* (neg x) x) (* y y))))) 2) (+ (* (pow (+ y x) -1) (* (fabs (+ (* (neg x) x) (* y y))) 1/2)) x) (+ (* (neg x) x) (* y y)) (pow (+ y x) -1) (+ y x) (neg x) (/ (fabs (+ x y)) (fabs (+ (* (neg x) x) (* y y)))) (fabs (+ (* (neg x) x) (* y y))))
4.0ms	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) (* (- (/ x y) 1) y) (+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (* (+ (* (/ (neg x) y) (/ x y)) 1) y) (* (* (+ (* (/ (neg x) y) (/ x y)) 1) y) y) (/ 1 (/ (fabs (+ x y)) (fabs (+ (* (neg x) x) (* y y))))) (/ (/ 1 (/ (fabs (+ x y)) (fabs (+ (* (neg x) x) (* y y))))) 2) (+ (* (pow (+ y x) -1) (* (fabs (+ (* (neg x) x) (* y y))) 1/2)) x) (+ (* (neg x) x) (* y y)) (pow (+ y x) -1) (+ y x) (neg x) (/ (fabs (+ x y)) (fabs (+ (* (neg x) x) (* y y)))) (fabs (+ (* (neg x) x) (* y y))))
4.0ms	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) (* (- (/ x y) 1) y) (+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (* (+ (* (/ (neg x) y) (/ x y)) 1) y) (* (* (+ (* (/ (neg x) y) (/ x y)) 1) y) y) (/ 1 (/ (fabs (+ x y)) (fabs (+ (* (neg x) x) (* y y))))) (/ (/ 1 (/ (fabs (+ x y)) (fabs (+ (* (neg x) x) (* y y))))) 2) (+ (* (pow (+ y x) -1) (* (fabs (+ (* (neg x) x) (* y y))) 1/2)) x) (+ (* (neg x) x) (* y y)) (pow (+ y x) -1) (+ y x) (neg x) (/ (fabs (+ x y)) (fabs (+ (* (neg x) x) (* y y)))) (fabs (+ (* (neg x) x) (* y y))))
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) (* (- (/ x y) 1) y) (+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (* (+ (* (/ (neg x) y) (/ x y)) 1) y) (* (* (+ (* (/ (neg x) y) (/ x y)) 1) y) y) (/ 1 (/ (fabs (+ x y)) (fabs (+ (* (neg x) x) (* y y))))) (/ (/ 1 (/ (fabs (+ x y)) (fabs (+ (* (neg x) x) (* y y))))) 2) (+ (* (pow (+ y x) -1) (* (fabs (+ (* (neg x) x) (* y y))) 1/2)) x) (+ (* (neg x) x) (* y y)) (pow (+ y x) -1) (+ y x) (neg x) (/ (fabs (+ x y)) (fabs (+ (* (neg x) x) (* y y)))) (fabs (+ (* (neg x) x) (* y y))))
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) (* (- (/ x y) 1) y) (+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (* (+ (* (/ (neg x) y) (/ x y)) 1) y) (* (* (+ (* (/ (neg x) y) (/ x y)) 1) y) y) (/ 1 (/ (fabs (+ x y)) (fabs (+ (* (neg x) x) (* y y))))) (/ (/ 1 (/ (fabs (+ x y)) (fabs (+ (* (neg x) x) (* y y))))) 2) (+ (* (pow (+ y x) -1) (* (fabs (+ (* (neg x) x) (* y y))) 1/2)) x) (+ (* (neg x) x) (* y y)) (pow (+ y x) -1) (+ y x) (neg x) (/ (fabs (+ x y)) (fabs (+ (* (neg x) x) (* y y)))) (fabs (+ (* (neg x) x) (* y y))))

simplify221.0ms (3.5%)

Memory

-0.6MiB live, 358.5MiB allocated

Algorithm

1×	egg-herbie

Rules

8 120×	`lower-fma.f64`
8 120×	`lower-fma.f32`
3 602×	`lower-*.f64`
3 602×	`lower-*.f32`
2 980×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	331	4697
1	936	4632
2	2411	4496
3	7198	4494
0	8126	4359

Stop Event

1×	iter limit
1×	node limit

Counts

540 → 512

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

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

rewrite208.0ms (3.3%)

Memory

16.8MiB live, 377.5MiB allocated

Rules

4 474×	`lower-*.f32`
4 462×	`lower-*.f64`
4 398×	`lower-/.f32`
4 384×	`lower-/.f64`
3 186×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	266
0	82	259
1	295	249
2	2037	249
0	8527	246

Stop Event

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

Counts

23 → 502

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

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

eval137.0ms (2.2%)

Memory: 35.4MiB live, 293.0MiB allocated
Compiler: Compiled 20 742 to 2 482 computations (88% saved)

prune45.0ms (0.7%)

Memory

10.0MiB live, 124.4MiB allocated

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	1 054	2	1 056
Fresh	1	4	5
Picked	2	3	5
Done	0	1	1
Total	1 057	10	1 067

Accuracy

100.0%

Counts

1 067 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
✓	87.2%	(fma.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y))) #s(literal 1/2 binary64) x)
▶	57.8%	(fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x)
	55.7%	(/.f64 (fma.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal -1/4 binary64) (*.f64 x x)) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x))
▶	26.7%	(+.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (+.f64 x y)) (fabs.f64 #s(approx (+ (* (neg x) x) (* y y)) (.f64 #s(approx ( (+ (* (/ (neg x) y) (/ x y)) 1) y) (*.f64 (neg.f64 x) (/.f64 x y))) y))))) #s(literal 2 binary64)))
▶	90.4%	(+.f64 x (/.f64 (fabs.f64 (.f64 (fma.f64 x y (hypot.f64 x y)) (.f64 (-.f64 y x) (/.f64 #s(literal 1 binary64) (fma.f64 y x (hypot.f64 y x)))))) #s(literal 2 binary64)))
▶	53.1%	(+.f64 x (/.f64 (fabs.f64 (.f64 (+.f64 x y) (.f64 (-.f64 y x) #s(approx (pow (+ x y) -1) (/.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64)))
✓	99.7%	(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 y x)))))
▶	19.7%	#s(approx (+ (* (pow (+ y x) -1) (* (fabs (+ (* (neg x) x) (* y y))) 1/2)) x) (fma.f64 (fabs.f64 (fma.f64 (neg.f64 y) y (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) x) x))
✓	7.6%	#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64)))

Compiler

Compiled 240 to 181 computations (24.6% saved)

simplify226.0ms (3.6%)

Memory

-62.4MiB live, 220.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (fabs.f64 (+.f64 x y)) (fabs.f64 #s(approx (+ (* (neg x) x) (* y y)) (.f64 #s(approx ( (+ (* (/ (neg x) y) (/ x y)) 1) y) (*.f64 (neg.f64 x) (/.f64 x y))) y))))
cost-diff	128	(+.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (+.f64 x y)) (fabs.f64 #s(approx (+ (* (neg x) x) (* y y)) (.f64 #s(approx ( (+ (* (/ (neg x) y) (/ x y)) 1) y) (*.f64 (neg.f64 x) (/.f64 x y))) y))))) #s(literal 2 binary64)))
cost-diff	384	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (+.f64 x y)) (fabs.f64 #s(approx (+ (* (neg x) x) (* y y)) (.f64 #s(approx ( (+ (* (/ (neg x) y) (/ x y)) 1) y) (*.f64 (neg.f64 x) (/.f64 x y))) y))))) #s(literal 2 binary64))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (+.f64 x y)) (fabs.f64 #s(approx (+ (* (neg x) x) (* y y)) (.f64 #s(approx ( (+ (* (/ (neg x) y) (/ x y)) 1) y) (*.f64 (neg.f64 x) (/.f64 x y))) y)))))
cost-diff	0	(+.f64 x y)
cost-diff	0	(fabs.f64 (.f64 (+.f64 x y) (.f64 (-.f64 y x) #s(approx (pow (+ x y) -1) (/.f64 #s(literal 1 binary64) x)))))
cost-diff	0	(/.f64 (fabs.f64 (.f64 (+.f64 x y) (.f64 (-.f64 y x) #s(approx (pow (+ x y) -1) (/.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64))
cost-diff	128	(+.f64 x (/.f64 (fabs.f64 (.f64 (+.f64 x y) (.f64 (-.f64 y x) #s(approx (pow (+ x y) -1) (/.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64)))
cost-diff	0	(fma.f64 (neg.f64 y) y (*.f64 x x))
cost-diff	0	(fabs.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)))
cost-diff	0	(fma.f64 (fabs.f64 (fma.f64 (neg.f64 y) y (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) x) x)
cost-diff	0	#s(approx (+ (* (pow (+ y x) -1) (* (fabs (+ (* (neg x) x) (* y y))) 1/2)) x) (fma.f64 (fabs.f64 (fma.f64 (neg.f64 y) y (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) x) x))
cost-diff	0	(neg.f64 y)
cost-diff	0	#s(approx (- x y) (neg.f64 y))
cost-diff	0	(fabs.f64 #s(approx (- x y) (neg.f64 y)))
cost-diff	0	(fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x)
cost-diff	128	(+.f64 x (/.f64 (fabs.f64 (.f64 (fma.f64 x y (hypot.f64 x y)) (.f64 (-.f64 y x) (/.f64 #s(literal 1 binary64) (fma.f64 y x (hypot.f64 y x)))))) #s(literal 2 binary64)))
cost-diff	320	(*.f64 (-.f64 y x) (/.f64 #s(literal 1 binary64) (fma.f64 y x (hypot.f64 y x))))
cost-diff	384	(/.f64 (fabs.f64 (.f64 (fma.f64 x y (hypot.f64 x y)) (.f64 (-.f64 y x) (/.f64 #s(literal 1 binary64) (fma.f64 y x (hypot.f64 y x)))))) #s(literal 2 binary64))
cost-diff	14720	(.f64 (fma.f64 x y (hypot.f64 x y)) (.f64 (-.f64 y x) (/.f64 #s(literal 1 binary64) (fma.f64 y x (hypot.f64 y x)))))

Rules

8 998×	`lower-fma.f32`
8 988×	`lower-fma.f64`
4 582×	`lower-*.f32`
4 568×	`lower-*.f64`
2 566×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	621
0	107	653
1	181	628
2	356	532
3	1059	532
4	5699	508
0	8141	497

Stop Event

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

Calls

Call 1

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

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

localize221.0ms (3.5%)

Memory

33.6MiB live, 299.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.19921875	(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (+.f64 x y)) (fabs.f64 #s(approx (+ (* (neg x) x) (* y y)) (.f64 #s(approx ( (+ (* (/ (neg x) y) (/ x y)) 1) y) (*.f64 (neg.f64 x) (/.f64 x y))) y)))))
accuracy	2.6626857271231255	(.f64 #s(approx ( (+ (* (/ (neg x) y) (/ x y)) 1) y) (*.f64 (neg.f64 x) (/.f64 x y))) y)
accuracy	27.284191559785395	(/.f64 (fabs.f64 (+.f64 x y)) (fabs.f64 #s(approx (+ (* (neg x) x) (* y y)) (.f64 #s(approx ( (+ (* (/ (neg x) y) (/ x y)) 1) y) (*.f64 (neg.f64 x) (/.f64 x y))) y))))
accuracy	30.800571971727656	#s(approx (* (+ (* (/ (neg x) y) (/ x y)) 1) y) (*.f64 (neg.f64 x) (/.f64 x y)))
accuracy	0	(fabs.f64 (.f64 (+.f64 x y) (.f64 (-.f64 y x) #s(approx (pow (+ x y) -1) (/.f64 #s(literal 1 binary64) x)))))
accuracy	0.04296875	(+.f64 x (/.f64 (fabs.f64 (.f64 (+.f64 x y) (.f64 (-.f64 y x) #s(approx (pow (+ x y) -1) (/.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64)))
accuracy	0.1484375	(*.f64 (-.f64 y x) #s(approx (pow (+ x y) -1) (/.f64 #s(literal 1 binary64) x)))
accuracy	30.763636951408916	#s(approx (pow (+ x y) -1) (/.f64 #s(literal 1 binary64) x))
accuracy	0	(fabs.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)))
accuracy	1.4999834856333614	(fma.f64 (neg.f64 y) y (*.f64 x x))
accuracy	17.58014378771349	(fma.f64 (fabs.f64 (fma.f64 (neg.f64 y) y (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) x) x)
accuracy	30.784148168353852	#s(approx (+ (* (pow (+ y x) -1) (* (fabs (+ (* (neg x) x) (* y y))) 1/2)) x) (fma.f64 (fabs.f64 (fma.f64 (neg.f64 y) y (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) x) x))
accuracy	0	(neg.f64 y)
accuracy	0	(fabs.f64 #s(approx (- x y) (neg.f64 y)))
accuracy	0.04296875	(fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x)
accuracy	32.29774624581968	#s(approx (- x y) (neg.f64 y))
accuracy	27.334227256341954	(.f64 (fma.f64 x y (hypot.f64 x y)) (.f64 (-.f64 y x) (/.f64 #s(literal 1 binary64) (fma.f64 y x (hypot.f64 y x)))))
accuracy	27.749739260764958	(*.f64 (-.f64 y x) (/.f64 #s(literal 1 binary64) (fma.f64 y x (hypot.f64 y x))))
accuracy	59.69556381698888	(hypot.f64 y x)
accuracy	59.69556381698888	(hypot.f64 x y)

Samples

119.0ms	214×	0	valid
19.0ms	11×	4	valid
15.0ms	11×	3	valid
12.0ms	12×	2	valid
7.0ms	8×	1	valid

Compiler

Compiled 503 to 63 computations (87.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 140.0ms

ival-add: 40.0ms (28.6% of total)

ival-div: 33.0ms (23.6% of total)

ival-mult: 31.0ms (22.2% of total)

adjust: 12.0ms (8.6% of total)

ival-fabs: 9.0ms (6.4% of total)

ival-pow: 9.0ms (6.4% of total)

ival-sub: 3.0ms (2.1% of total)

ival-neg: 2.0ms (1.4% of total)

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

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

exact: 0.0ms (0% of total)

series49.0ms (0.8%)

Memory

-4.9MiB live, 79.3MiB allocated

Counts

26 → 612

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
8.0ms	x	@	inf	((* (+ (* x y) (+ (* x x) (* y y))) (* (- y x) (/ 1 (+ (* y x) (+ (* y y) (* x x)))))) (/ (fabs (* (+ (* x y) (+ (* x x) (* y y))) (* (- y x) (/ 1 (+ (* y x) (+ (* y y) (* x x))))))) 2) (* (- y x) (/ 1 (+ (* y x) (+ (* y y) (* x x))))) (+ x (/ (fabs (* (+ (* x y) (+ (* x x) (* y y))) (* (- y x) (/ 1 (+ (* y x) (+ (* y y) (* x x))))))) 2)) (+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (neg y) (+ (* (pow (+ y x) -1) (* (fabs (+ (* (neg x) x) (* y y))) 1/2)) x) (+ (* (fabs (+ (* (neg y) y) (* x x))) (/ 1/2 x)) x) (fabs (+ (* (neg y) y) (* x x))) (+ (* (neg y) y) (* x x)) (+ x (/ (fabs (* (+ x y) (* (- y x) (pow (+ x y) -1)))) 2)) (/ (fabs (* (+ x y) (* (- y x) (pow (+ x y) -1)))) 2) (fabs (* (+ x y) (* (- y x) (pow (+ x y) -1)))) (+ x y) (/ 1 (/ (fabs (+ x y)) (fabs (+ (* (neg x) x) (* y y))))) (/ (/ 1 (/ (fabs (+ x y)) (fabs (+ (* (neg x) x) (* y y))))) 2) (+ x (/ (/ 1 (/ (fabs (+ x y)) (fabs (+ (* (neg x) x) (* y y))))) 2)) (/ (fabs (+ x y)) (fabs (+ (* (neg x) x) (* y y)))) (+ (* x x) (* y y)) (+ (* y y) (* x x)) (pow (+ x y) -1) (* (- y x) (pow (+ x y) -1)) (* (+ (* (/ (neg x) y) (/ x y)) 1) y) (* (* (+ (* (/ (neg x) y) (/ x y)) 1) y) y))
7.0ms	y	@	0	((* (+ (* x y) (+ (* x x) (* y y))) (* (- y x) (/ 1 (+ (* y x) (+ (* y y) (* x x)))))) (/ (fabs (* (+ (* x y) (+ (* x x) (* y y))) (* (- y x) (/ 1 (+ (* y x) (+ (* y y) (* x x))))))) 2) (* (- y x) (/ 1 (+ (* y x) (+ (* y y) (* x x))))) (+ x (/ (fabs (* (+ (* x y) (+ (* x x) (* y y))) (* (- y x) (/ 1 (+ (* y x) (+ (* y y) (* x x))))))) 2)) (+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (neg y) (+ (* (pow (+ y x) -1) (* (fabs (+ (* (neg x) x) (* y y))) 1/2)) x) (+ (* (fabs (+ (* (neg y) y) (* x x))) (/ 1/2 x)) x) (fabs (+ (* (neg y) y) (* x x))) (+ (* (neg y) y) (* x x)) (+ x (/ (fabs (* (+ x y) (* (- y x) (pow (+ x y) -1)))) 2)) (/ (fabs (* (+ x y) (* (- y x) (pow (+ x y) -1)))) 2) (fabs (* (+ x y) (* (- y x) (pow (+ x y) -1)))) (+ x y) (/ 1 (/ (fabs (+ x y)) (fabs (+ (* (neg x) x) (* y y))))) (/ (/ 1 (/ (fabs (+ x y)) (fabs (+ (* (neg x) x) (* y y))))) 2) (+ x (/ (/ 1 (/ (fabs (+ x y)) (fabs (+ (* (neg x) x) (* y y))))) 2)) (/ (fabs (+ x y)) (fabs (+ (* (neg x) x) (* y y)))) (+ (* x x) (* y y)) (+ (* y y) (* x x)) (pow (+ x y) -1) (* (- y x) (pow (+ x y) -1)) (* (+ (* (/ (neg x) y) (/ x y)) 1) y) (* (* (+ (* (/ (neg x) y) (/ x y)) 1) y) y))
3.0ms	y	@	inf	((* (+ (* x y) (+ (* x x) (* y y))) (* (- y x) (/ 1 (+ (* y x) (+ (* y y) (* x x)))))) (/ (fabs (* (+ (* x y) (+ (* x x) (* y y))) (* (- y x) (/ 1 (+ (* y x) (+ (* y y) (* x x))))))) 2) (* (- y x) (/ 1 (+ (* y x) (+ (* y y) (* x x))))) (+ x (/ (fabs (* (+ (* x y) (+ (* x x) (* y y))) (* (- y x) (/ 1 (+ (* y x) (+ (* y y) (* x x))))))) 2)) (+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (neg y) (+ (* (pow (+ y x) -1) (* (fabs (+ (* (neg x) x) (* y y))) 1/2)) x) (+ (* (fabs (+ (* (neg y) y) (* x x))) (/ 1/2 x)) x) (fabs (+ (* (neg y) y) (* x x))) (+ (* (neg y) y) (* x x)) (+ x (/ (fabs (* (+ x y) (* (- y x) (pow (+ x y) -1)))) 2)) (/ (fabs (* (+ x y) (* (- y x) (pow (+ x y) -1)))) 2) (fabs (* (+ x y) (* (- y x) (pow (+ x y) -1)))) (+ x y) (/ 1 (/ (fabs (+ x y)) (fabs (+ (* (neg x) x) (* y y))))) (/ (/ 1 (/ (fabs (+ x y)) (fabs (+ (* (neg x) x) (* y y))))) 2) (+ x (/ (/ 1 (/ (fabs (+ x y)) (fabs (+ (* (neg x) x) (* y y))))) 2)) (/ (fabs (+ x y)) (fabs (+ (* (neg x) x) (* y y)))) (+ (* x x) (* y y)) (+ (* y y) (* x x)) (pow (+ x y) -1) (* (- y x) (pow (+ x y) -1)) (* (+ (* (/ (neg x) y) (/ x y)) 1) y) (* (* (+ (* (/ (neg x) y) (/ x y)) 1) y) y))
3.0ms	y	@	-inf	((* (+ (* x y) (+ (* x x) (* y y))) (* (- y x) (/ 1 (+ (* y x) (+ (* y y) (* x x)))))) (/ (fabs (* (+ (* x y) (+ (* x x) (* y y))) (* (- y x) (/ 1 (+ (* y x) (+ (* y y) (* x x))))))) 2) (* (- y x) (/ 1 (+ (* y x) (+ (* y y) (* x x))))) (+ x (/ (fabs (* (+ (* x y) (+ (* x x) (* y y))) (* (- y x) (/ 1 (+ (* y x) (+ (* y y) (* x x))))))) 2)) (+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (neg y) (+ (* (pow (+ y x) -1) (* (fabs (+ (* (neg x) x) (* y y))) 1/2)) x) (+ (* (fabs (+ (* (neg y) y) (* x x))) (/ 1/2 x)) x) (fabs (+ (* (neg y) y) (* x x))) (+ (* (neg y) y) (* x x)) (+ x (/ (fabs (* (+ x y) (* (- y x) (pow (+ x y) -1)))) 2)) (/ (fabs (* (+ x y) (* (- y x) (pow (+ x y) -1)))) 2) (fabs (* (+ x y) (* (- y x) (pow (+ x y) -1)))) (+ x y) (/ 1 (/ (fabs (+ x y)) (fabs (+ (* (neg x) x) (* y y))))) (/ (/ 1 (/ (fabs (+ x y)) (fabs (+ (* (neg x) x) (* y y))))) 2) (+ x (/ (/ 1 (/ (fabs (+ x y)) (fabs (+ (* (neg x) x) (* y y))))) 2)) (/ (fabs (+ x y)) (fabs (+ (* (neg x) x) (* y y)))) (+ (* x x) (* y y)) (+ (* y y) (* x x)) (pow (+ x y) -1) (* (- y x) (pow (+ x y) -1)) (* (+ (* (/ (neg x) y) (/ x y)) 1) y) (* (* (+ (* (/ (neg x) y) (/ x y)) 1) y) y))
2.0ms	x	@	-inf	((* (+ (* x y) (+ (* x x) (* y y))) (* (- y x) (/ 1 (+ (* y x) (+ (* y y) (* x x)))))) (/ (fabs (* (+ (* x y) (+ (* x x) (* y y))) (* (- y x) (/ 1 (+ (* y x) (+ (* y y) (* x x))))))) 2) (* (- y x) (/ 1 (+ (* y x) (+ (* y y) (* x x))))) (+ x (/ (fabs (* (+ (* x y) (+ (* x x) (* y y))) (* (- y x) (/ 1 (+ (* y x) (+ (* y y) (* x x))))))) 2)) (+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (neg y) (+ (* (pow (+ y x) -1) (* (fabs (+ (* (neg x) x) (* y y))) 1/2)) x) (+ (* (fabs (+ (* (neg y) y) (* x x))) (/ 1/2 x)) x) (fabs (+ (* (neg y) y) (* x x))) (+ (* (neg y) y) (* x x)) (+ x (/ (fabs (* (+ x y) (* (- y x) (pow (+ x y) -1)))) 2)) (/ (fabs (* (+ x y) (* (- y x) (pow (+ x y) -1)))) 2) (fabs (* (+ x y) (* (- y x) (pow (+ x y) -1)))) (+ x y) (/ 1 (/ (fabs (+ x y)) (fabs (+ (* (neg x) x) (* y y))))) (/ (/ 1 (/ (fabs (+ x y)) (fabs (+ (* (neg x) x) (* y y))))) 2) (+ x (/ (/ 1 (/ (fabs (+ x y)) (fabs (+ (* (neg x) x) (* y y))))) 2)) (/ (fabs (+ x y)) (fabs (+ (* (neg x) x) (* y y)))) (+ (* x x) (* y y)) (+ (* y y) (* x x)) (pow (+ x y) -1) (* (- y x) (pow (+ x y) -1)) (* (+ (* (/ (neg x) y) (/ x y)) 1) y) (* (* (+ (* (/ (neg x) y) (/ x y)) 1) y) y))

simplify236.0ms (3.7%)

Memory

-20.6MiB live, 213.3MiB allocated

Algorithm

1×	egg-herbie

Rules

8 172×	`lower-fma.f64`
8 172×	`lower-fma.f32`
4 180×	`lower-*.f64`
4 180×	`lower-*.f32`
2 704×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	585	6358
1	1783	6193
2	4878	6146
0	8271	5690

Stop Event

1×	iter limit
1×	node limit

Counts

612 → 583

Calls

Call 1

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

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

rewrite356.0ms (5.6%)

Memory

30.3MiB live, 422.1MiB allocated

Rules

5 588×	`lower-*.f32`
5 574×	`lower-*.f64`
5 448×	`lower-fma.f32`
5 438×	`lower-fma.f64`
3 742×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	450
0	107	438
1	443	383
2	3373	371
0	10363	367

Stop Event

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

Counts

26 → 798

Calls

Call 1

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

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

eval467.0ms (7.4%)

Memory: 0.0MiB live, 394.7MiB allocated
Compiler: Compiled 32 282 to 4 316 computations (86.6% saved)

prune49.0ms (0.8%)

Memory

-4.9MiB live, 115.6MiB allocated

Pruning

10 alts after pruning (3 fresh and 7 done)

	Pruned	Kept	Total
New	1 438	3	1 441
Fresh	1	0	1
Picked	2	3	5
Done	0	4	4
Total	1 441	10	1 451

Accuracy

100.0%

Counts

1 451 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
✓	87.2%	(fma.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y))) #s(literal 1/2 binary64) x)
✓	57.8%	(fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x)
	99.6%	(/.f64 (fma.f64 x (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 y x))) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 y x)))))
✓	90.4%	(+.f64 x (/.f64 (fabs.f64 (.f64 (fma.f64 x y (hypot.f64 x y)) (.f64 (-.f64 y x) (/.f64 #s(literal 1 binary64) (fma.f64 y x (hypot.f64 y x)))))) #s(literal 2 binary64)))
✓	53.1%	(+.f64 x (/.f64 (fabs.f64 (.f64 (+.f64 x y) (.f64 (-.f64 y x) #s(approx (pow (+ x y) -1) (/.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64)))
✓	99.7%	(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 y x)))))
	19.6%	#s(approx (+ (* (pow (+ y x) -1) (* (fabs (+ (* (neg x) x) (* y y))) 1/2)) x) (fma.f64 (fabs.f64 #s(approx (+ (* (neg y) y) (* x x)) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) x) x))
	18.9%	#s(approx (+ (* (pow (+ y x) -1) (* (fabs (+ (* (neg x) x) (* y y))) 1/2)) x) #s(approx (+ (* (fabs (+ (* (neg y) y) (* x x))) (/ 1/2 x)) x) (/.f64 (fma.f64 (fabs.f64 (fma.f64 (neg.f64 y) y (.f64 x x))) #s(literal 1/2 binary64) (.f64 x x)) x)))
✓	7.6%	#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64)))

Compiler

Compiled 454 to 221 computations (51.3% saved)

regimes23.0ms (0.4%)

Memory

1.4MiB live, 39.7MiB allocated

Counts

22 → 1

Calls

Call 1

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

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

Calls

3 calls:

9.0ms	y
7.0ms	(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
6.0ms	x

Results

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

Compiler

Compiled 10 to 11 computations (-10% saved)

regimes6.0ms (0.1%)

Memory

9.6MiB live, 9.6MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 10 to 11 computations (-10% saved)

regimes5.0ms (0.1%)

Memory

8.8MiB live, 8.8MiB 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	x
2.0ms	y

Results

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

Compiler

Compiled 10 to 11 computations (-10% saved)

regimes32.0ms (0.5%)

Memory

-37.5MiB live, 6.9MiB 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:

29.0ms	(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
1.0ms	x
1.0ms	y

Results

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

Compiler

Compiled 10 to 11 computations (-10% saved)

simplify55.0ms (0.9%)

Memory

-1.0MiB live, 36.5MiB 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)))

soundness563.0ms (8.9%)

Memory

9.1MiB live, 408.4MiB allocated

Rules

8 082×	`lower-fma.f64`
8 082×	`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	535	5394
1	1623	5166
2	4682	5037
0	8405	4741

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)

preprocess98.0ms (1.5%)

Memory: 21.1MiB live, 138.0MiB 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%)

sample922.0ms (14.5%)

explain91.0ms (1.4%)

preprocess94.0ms (1.5%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify14.0ms (0.2%)

localize25.0ms (0.4%)

series5.0ms (0.1%)

simplify162.0ms (2.6%)

rewrite184.0ms (2.9%)

eval43.0ms (0.7%)

prune14.0ms (0.2%)

simplify126.0ms (2%)

localize130.0ms (2%)

series77.0ms (1.2%)

simplify187.0ms (2.9%)

rewrite338.0ms (5.3%)

eval425.0ms (6.7%)

prune75.0ms (1.2%)

simplify212.0ms (3.3%)

localize163.0ms (2.6%)

series61.0ms (1%)

simplify221.0ms (3.5%)

rewrite208.0ms (3.3%)

eval137.0ms (2.2%)

prune45.0ms (0.7%)

simplify226.0ms (3.6%)

localize221.0ms (3.5%)

series49.0ms (0.8%)

simplify236.0ms (3.7%)

rewrite356.0ms (5.6%)

eval467.0ms (7.4%)

prune49.0ms (0.8%)

regimes23.0ms (0.4%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

regimes32.0ms (0.5%)

simplify55.0ms (0.9%)

soundness563.0ms (8.9%)

preprocess98.0ms (1.5%)

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