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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 10 to 9 computations (10% saved)

sample1.5s (17.2%)

Memory

-199.0MiB live, 1 208.6MiB allocated

Samples

897.0ms	7 946×	0	valid
35.0ms	72×	3	valid
18.0ms	148×	1	valid
13.0ms	90×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 633.0ms

ival-sub: 249.0ms (39.4% of total)

ival-add: 169.0ms (26.7% of total)

ival-div: 91.0ms (14.4% of total)

ival-fabs: 78.0ms (12.3% of total)

adjust: 31.0ms (4.9% of total)

ival-true: 6.0ms (0.9% of total)

exact: 5.0ms (0.8% of total)

ival-assert: 3.0ms (0.5% of total)

Bogosity

explain82.0ms (0.9%)

Memory

-26.5MiB live, 142.6MiB 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

31.0ms	488×	0	valid
2.0ms	10×	2	valid
2.0ms	8×	3	valid
1.0ms	6×	1	valid

Compiler

Compiled 60 to 25 computations (58.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-fabs: 6.0ms (32.7% of total)

ival-div: 4.0ms (21.8% of total)

ival-sub: 3.0ms (16.4% of total)

ival-add: 3.0ms (16.4% of total)

adjust: 1.0ms (5.5% of total)

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

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

exact: 0.0ms (0% of total)

preprocess70.0ms (0.8%)

Memory

-1.9MiB live, 34.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 8 to 7 computations (12.5% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.7MiB live, 0.7MiB 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)

simplify13.0ms (0.1%)

Memory

8.6MiB live, 8.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

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)

localize20.0ms (0.2%)

Memory

20.5MiB live, 20.5MiB 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	0.05859375	(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))

Samples

12.0ms	244×	0	valid
1.0ms	4×	3	valid
1.0ms	5×	2	valid
0.0ms	3×	1	valid

Compiler

Compiled 26 to 9 computations (65.4% saved)

Precisions

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

ival-div: 2.0ms (27.8% of total)

ival-sub: 2.0ms (27.8% of total)

ival-fabs: 1.0ms (13.9% of total)

ival-add: 1.0ms (13.9% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series31.0ms (0.3%)

Memory

-29.9MiB live, 6.7MiB 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	x	@	inf	((/ (fabs (- y x)) 2) (+ x (/ (fabs (- y x)) 2)) (fabs (- y x)) (- y x))
1.0ms	y	@	inf	((/ (fabs (- y x)) 2) (+ x (/ (fabs (- y x)) 2)) (fabs (- y x)) (- y x))
1.0ms	y	@	-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))

simplify137.0ms (1.5%)

Memory

3.3MiB live, 119.7MiB allocated

Algorithm

1×	egg-herbie

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)

rewrite152.0ms (1.7%)

Memory

25.6MiB live, 176.9MiB allocated

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
#<batchref>
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eval47.0ms (0.5%)

Memory: -21.2MiB live, 61.5MiB allocated
Compiler: Compiled 6 166 to 927 computations (85% saved)

prune20.0ms (0.2%)

Memory

36.6MiB live, 36.6MiB allocated

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	321	9	330
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	322	9	331

Accuracy

100.0%

Counts

331 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	52.5%	(fma.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)) x)
▶	99.3%	(fma.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64)) x)
▶	99.9%	(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
	52.1%	(/.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))
	53.4%	(+.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)))
▶	53.5%	(+.f64 x (/.f64 (.f64 (fabs.f64 (fma.f64 (neg.f64 x) x (.f64 y y))) #s(literal 1/2 binary64)) (fabs.f64 (+.f64 x y))))
▶	69.0%	(+.f64 x (/.f64 (fabs.f64 (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)))))) #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 288 to 196 computations (31.9% saved)

simplify138.0ms (1.6%)

Memory

-10.4MiB live, 97.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(fabs.f64 (-.f64 x y))
cost-diff	0	(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)))
cost-diff	2240	(fma.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64)) x)
cost-diff	5824	(pow.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64))
cost-diff	0	(fabs.f64 (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))))))
cost-diff	0	(/.f64 (fabs.f64 (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)))))) #s(literal 2 binary64))
cost-diff	0	(+.f64 x (/.f64 (fabs.f64 (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)))))) #s(literal 2 binary64)))
cost-diff	1984	(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)))))
cost-diff	0	(fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)))
cost-diff	0	(.f64 (fabs.f64 (fma.f64 (neg.f64 x) x (.f64 y y))) #s(literal 1/2 binary64))
cost-diff	128	(+.f64 x (/.f64 (.f64 (fabs.f64 (fma.f64 (neg.f64 x) x (.f64 y y))) #s(literal 1/2 binary64)) (fabs.f64 (+.f64 x y))))
cost-diff	1664	(/.f64 (.f64 (fabs.f64 (fma.f64 (neg.f64 x) x (.f64 y y))) #s(literal 1/2 binary64)) (fabs.f64 (+.f64 x y)))
cost-diff	0	(-.f64 y x)
cost-diff	0	(fabs.f64 (-.f64 y x))
cost-diff	0	(*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)))
cost-diff	0	(-.f64 x y)
cost-diff	0	(fabs.f64 (-.f64 x y))
cost-diff	0	(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	35	315
0	65	284
1	108	284
2	165	284
3	339	284
4	830	260
5	2337	252
6	5591	244
7	7470	244
0	8042	244

Stop Event

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

Calls

Call 1

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

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

localize140.0ms (1.6%)

Memory

-17.5MiB live, 188.6MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)))
accuracy	0	(fabs.f64 (-.f64 x y))
accuracy	0.015625	(pow.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64))
accuracy	0.4375	(fma.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64)) x)
accuracy	0.05859375	(+.f64 x (/.f64 (fabs.f64 (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)))))) #s(literal 2 binary64)))
accuracy	0.08203125	(*.f64 x (/.f64 x (+.f64 x y)))
accuracy	2.261693978450042	(fma.f64 (neg.f64 x) x (*.f64 y y))
accuracy	23.47815794511871	(/.f64 (.f64 y y) (fma.f64 (neg.f64 x) x (.f64 y y)))
accuracy	0.00390625	(.f64 (fabs.f64 (fma.f64 (neg.f64 x) x (.f64 y y))) #s(literal 1/2 binary64))
accuracy	0.05859375	(+.f64 x (/.f64 (.f64 (fabs.f64 (fma.f64 (neg.f64 x) x (.f64 y y))) #s(literal 1/2 binary64)) (fabs.f64 (+.f64 x y))))
accuracy	2.261693978450042	(fma.f64 (neg.f64 x) x (*.f64 y y))
accuracy	29.425418444745876	(/.f64 (.f64 (fabs.f64 (fma.f64 (neg.f64 x) x (.f64 y y))) #s(literal 1/2 binary64)) (fabs.f64 (+.f64 x y)))
accuracy	0	(-.f64 y x)
accuracy	0	(*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))
accuracy	0	(fabs.f64 (-.f64 y x))
accuracy	30.148258787716767	#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	0.05859375	(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)

Samples

81.0ms	234×	0	valid
7.0ms	9×	2	valid
6.0ms	6×	3	valid
4.0ms	7×	1	valid

Compiler

Compiled 327 to 38 computations (88.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 76.0ms

ival-sub: 20.0ms (26.2% of total)

ival-mult: 17.0ms (22.3% of total)

ival-add: 16.0ms (20.9% of total)

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

ival-fabs: 7.0ms (9.2% of total)

adjust: 3.0ms (3.9% of total)

ival-neg: 2.0ms (2.6% of total)

ival-sqrt: 2.0ms (2.6% of total)

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

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

exact: 0.0ms (0% of total)

series53.0ms (0.6%)

Memory

28.6MiB live, 65.3MiB allocated

Counts

21 → 504

Calls

Call 1

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

Outputs
#s(alt (+ x (* 1/2 (fabs (- x y)))) (taylor 0 y) (#s(alt (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) (patch (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/2 (fabs (- x y)))) (taylor 0 y) (#s(alt (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) (patch (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/2 (fabs (- x y)))) (taylor 0 y) (#s(alt (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) (patch (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/2 (fabs (- x y)))) (taylor 0 y) (#s(alt (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) (patch (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (fabs (- x y)) (taylor 0 y) (#s(alt (fabs.f64 (-.f64 x y)) (patch (fabs.f64 (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (fabs (- x y)) (taylor 0 y) (#s(alt (fabs.f64 (-.f64 x y)) (patch (fabs.f64 (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (fabs (- x y)) (taylor 0 y) (#s(alt (fabs.f64 (-.f64 x y)) (patch (fabs.f64 (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (fabs (- x y)) (taylor 0 y) (#s(alt (fabs.f64 (-.f64 x y)) (patch (fabs.f64 (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/2 (fabs (- y x)))) (taylor 0 y) (#s(alt #s(approx (+ x (/ (fabs (- y x)) 2)) (.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))) (patch #s(approx (+ x (/ (fabs (- y x)) 2)) (.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/2 (fabs (- y x)))) (taylor 0 y) (#s(alt #s(approx (+ x (/ (fabs (- y x)) 2)) (.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))) (patch #s(approx (+ x (/ (fabs (- y x)) 2)) (.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/2 (fabs (- y x)))) (taylor 0 y) (#s(alt #s(approx (+ x (/ (fabs (- y x)) 2)) (.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))) (patch #s(approx (+ x (/ (fabs (- y x)) 2)) (.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/2 (fabs (- y x)))) (taylor 0 y) (#s(alt #s(approx (+ x (/ (fabs (- y x)) 2)) (.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))) (patch #s(approx (+ x (/ (fabs (- y x)) 2)) (.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- y x))) (taylor 0 y) (#s(alt (.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)) (patch (.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- y x))) (taylor 0 y) (#s(alt (.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)) (patch (.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- y x))) (taylor 0 y) (#s(alt (.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)) (patch (.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- y x))) (taylor 0 y) (#s(alt (.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)) (patch (.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (fabs (- y x)) (taylor 0 y) (#s(alt (fabs.f64 (-.f64 y x)) (patch (fabs.f64 (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (fabs (- y x)) (taylor 0 y) (#s(alt (fabs.f64 (-.f64 y x)) (patch (fabs.f64 (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (fabs (- y x)) (taylor 0 y) (#s(alt (fabs.f64 (-.f64 y x)) (patch (fabs.f64 (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (fabs (- y x)) (taylor 0 y) (#s(alt (fabs.f64 (-.f64 y x)) (patch (fabs.f64 (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (- y x) (taylor 0 y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (- y x) (taylor 0 y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (- y x) (taylor 0 y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (fabs (+ (* -1 (pow x 2)) (pow y 2))) (fabs (+ x y)))) (taylor 0 y) (#s(alt (/.f64 (.f64 (fabs.f64 (fma.f64 (neg.f64 x) x (.f64 y y))) #s(literal 1/2 binary64)) (fabs.f64 (+.f64 x y))) (patch (/.f64 (.f64 (fabs.f64 (fma.f64 (neg.f64 x) x (.f64 y y))) #s(literal 1/2 binary64)) (fabs.f64 (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (fabs (+ (* -1 (pow x 2)) (pow y 2))) (fabs (+ x y)))) (taylor 0 y) (#s(alt (/.f64 (.f64 (fabs.f64 (fma.f64 (neg.f64 x) x (.f64 y y))) #s(literal 1/2 binary64)) (fabs.f64 (+.f64 x y))) (patch (/.f64 (.f64 (fabs.f64 (fma.f64 (neg.f64 x) x (.f64 y y))) #s(literal 1/2 binary64)) (fabs.f64 (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (fabs (+ (* -1 (pow x 2)) (pow y 2))) (fabs (+ x y)))) (taylor 0 y) (#s(alt (/.f64 (.f64 (fabs.f64 (fma.f64 (neg.f64 x) x (.f64 y y))) #s(literal 1/2 binary64)) (fabs.f64 (+.f64 x y))) (patch (/.f64 (.f64 (fabs.f64 (fma.f64 (neg.f64 x) x (.f64 y y))) #s(literal 1/2 binary64)) (fabs.f64 (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (fabs (+ (* -1 (pow x 2)) (pow y 2))) (fabs (+ x y)))) (taylor 0 y) (#s(alt (/.f64 (.f64 (fabs.f64 (fma.f64 (neg.f64 x) x (.f64 y y))) #s(literal 1/2 binary64)) (fabs.f64 (+.f64 x y))) (patch (/.f64 (.f64 (fabs.f64 (fma.f64 (neg.f64 x) x (.f64 y y))) #s(literal 1/2 binary64)) (fabs.f64 (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/2 (/ (fabs (+ (* -1 (pow x 2)) (pow y 2))) (fabs (+ x y))))) (taylor 0 y) (#s(alt (+.f64 x (/.f64 (.f64 (fabs.f64 (fma.f64 (neg.f64 x) x (.f64 y y))) #s(literal 1/2 binary64)) (fabs.f64 (+.f64 x y)))) (patch (+.f64 x (/.f64 (.f64 (fabs.f64 (fma.f64 (neg.f64 x) x (.f64 y y))) #s(literal 1/2 binary64)) (fabs.f64 (+.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/2 (/ (fabs (+ (* -1 (pow x 2)) (pow y 2))) (fabs (+ x y))))) (taylor 0 y) (#s(alt (+.f64 x (/.f64 (.f64 (fabs.f64 (fma.f64 (neg.f64 x) x (.f64 y y))) #s(literal 1/2 binary64)) (fabs.f64 (+.f64 x y)))) (patch (+.f64 x (/.f64 (.f64 (fabs.f64 (fma.f64 (neg.f64 x) x (.f64 y y))) #s(literal 1/2 binary64)) (fabs.f64 (+.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/2 (/ (fabs (+ (* -1 (pow x 2)) (pow y 2))) (fabs (+ x y))))) (taylor 0 y) (#s(alt (+.f64 x (/.f64 (.f64 (fabs.f64 (fma.f64 (neg.f64 x) x (.f64 y y))) #s(literal 1/2 binary64)) (fabs.f64 (+.f64 x y)))) (patch (+.f64 x (/.f64 (.f64 (fabs.f64 (fma.f64 (neg.f64 x) x (.f64 y y))) #s(literal 1/2 binary64)) (fabs.f64 (+.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/2 (/ (fabs (+ (* -1 (pow x 2)) (pow y 2))) (fabs (+ x y))))) (taylor 0 y) (#s(alt (+.f64 x (/.f64 (.f64 (fabs.f64 (fma.f64 (neg.f64 x) x (.f64 y y))) #s(literal 1/2 binary64)) (fabs.f64 (+.f64 x y)))) (patch (+.f64 x (/.f64 (.f64 (fabs.f64 (fma.f64 (neg.f64 x) x (.f64 y y))) #s(literal 1/2 binary64)) (fabs.f64 (+.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (+ (* -1 (pow x 2)) (pow y 2)))) (taylor 0 y) (#s(alt (.f64 (fabs.f64 (fma.f64 (neg.f64 x) x (.f64 y y))) #s(literal 1/2 binary64)) (patch (.f64 (fabs.f64 (fma.f64 (neg.f64 x) x (.f64 y y))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (+ (* -1 (pow x 2)) (pow y 2)))) (taylor 0 y) (#s(alt (.f64 (fabs.f64 (fma.f64 (neg.f64 x) x (.f64 y y))) #s(literal 1/2 binary64)) (patch (.f64 (fabs.f64 (fma.f64 (neg.f64 x) x (.f64 y y))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (+ (* -1 (pow x 2)) (pow y 2)))) (taylor 0 y) (#s(alt (.f64 (fabs.f64 (fma.f64 (neg.f64 x) x (.f64 y y))) #s(literal 1/2 binary64)) (patch (.f64 (fabs.f64 (fma.f64 (neg.f64 x) x (.f64 y y))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (+ (* -1 (pow x 2)) (pow y 2)))) (taylor 0 y) (#s(alt (.f64 (fabs.f64 (fma.f64 (neg.f64 x) x (.f64 y y))) #s(literal 1/2 binary64)) (patch (.f64 (fabs.f64 (fma.f64 (neg.f64 x) x (.f64 y y))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (fabs (+ (* -1 (pow x 2)) (pow y 2))) (taylor 0 y) (#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 (+ (* -1 (pow x 2)) (pow y 2))) (taylor 0 y) (#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 (+ (* -1 (pow x 2)) (pow y 2))) (taylor 0 y) (#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 (+ (* -1 (pow x 2)) (pow y 2))) (taylor 0 y) (#s(alt (fabs.f64 (fma.f64 (neg.f64 x) x (.f64 y y))) (patch (fabs.f64 (fma.f64 (neg.f64 x) x (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 y) (#s(alt (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))))) (patch (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))))) #<representation binary64>) () ())) ())
#s(alt (- y x) (taylor 0 y) (#s(alt (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))))) (patch (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))))) #<representation binary64>) () ())) ())
#s(alt (- y x) (taylor 0 y) (#s(alt (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))))) (patch (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))))) #<representation binary64>) () ())) ())
#s(alt (- y x) (taylor 0 y) (#s(alt (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))))) (patch (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))))) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/2 (fabs (- (/ (* (pow y 2) (- y x)) (+ (* -1 (pow x 2)) (pow y 2))) (/ (pow x 2) (+ x y)))))) (taylor 0 y) (#s(alt (+.f64 x (/.f64 (fabs.f64 (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)))))) #s(literal 2 binary64))) (patch (+.f64 x (/.f64 (fabs.f64 (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)))))) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/2 (fabs (- (/ (* (pow y 2) (- y x)) (+ (* -1 (pow x 2)) (pow y 2))) (/ (pow x 2) (+ x y)))))) (taylor 0 y) (#s(alt (+.f64 x (/.f64 (fabs.f64 (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)))))) #s(literal 2 binary64))) (patch (+.f64 x (/.f64 (fabs.f64 (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)))))) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/2 (fabs (- (/ (* (pow y 2) (- y x)) (+ (* -1 (pow x 2)) (pow y 2))) (/ (pow x 2) (+ x y)))))) (taylor 0 y) (#s(alt (+.f64 x (/.f64 (fabs.f64 (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)))))) #s(literal 2 binary64))) (patch (+.f64 x (/.f64 (fabs.f64 (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)))))) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/2 (fabs (- (/ (* (pow y 2) (- y x)) (+ (* -1 (pow x 2)) (pow y 2))) (/ (pow x 2) (+ x y)))))) (taylor 0 y) (#s(alt (+.f64 x (/.f64 (fabs.f64 (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)))))) #s(literal 2 binary64))) (patch (+.f64 x (/.f64 (fabs.f64 (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)))))) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (- (* -1/2 (/ (fabs (- (/ (* (pow y 2) (+ y (* -1 x))) (- (pow y 2) (pow x 2))) (/ (pow x 2) (- y (* -1 x))))) x)) 1))) (taylor -inf x) (#s(alt (+.f64 x (/.f64 (fabs.f64 (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)))))) #s(literal 2 binary64))) (patch (+.f64 x (/.f64 (fabs.f64 (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)))))) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/2 (/ (fabs (- (/ (* (pow y 2) (+ y (* -1 x))) (- (pow y 2) (pow x 2))) (/ (pow x 2) (- y (* -1 x))))) x)) 1))) (taylor -inf x) (#s(alt (+.f64 x (/.f64 (fabs.f64 (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)))))) #s(literal 2 binary64))) (patch (+.f64 x (/.f64 (fabs.f64 (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)))))) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- (/ (* (pow y 2) (+ y (* -1 x))) (- (pow y 2) (pow x 2))) (/ (pow x 2) (- y (* -1 x)))))) (taylor -inf x) (#s(alt (/.f64 (fabs.f64 (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)))))) #s(literal 2 binary64)) (patch (/.f64 (fabs.f64 (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)))))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- (/ (* (pow y 2) (+ y (* -1 x))) (- (pow y 2) (pow x 2))) (/ (pow x 2) (- y (* -1 x)))))) (taylor -inf x) (#s(alt (/.f64 (fabs.f64 (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)))))) #s(literal 2 binary64)) (patch (/.f64 (fabs.f64 (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)))))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- (/ (* (pow y 2) (+ y (* -1 x))) (- (pow y 2) (pow x 2))) (/ (pow x 2) (- y (* -1 x)))))) (taylor -inf x) (#s(alt (/.f64 (fabs.f64 (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)))))) #s(literal 2 binary64)) (patch (/.f64 (fabs.f64 (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)))))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- (/ (* (pow y 2) (+ y (* -1 x))) (- (pow y 2) (pow x 2))) (/ (pow x 2) (- y (* -1 x)))))) (taylor -inf x) (#s(alt (/.f64 (fabs.f64 (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)))))) #s(literal 2 binary64)) (patch (/.f64 (fabs.f64 (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)))))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (fabs (- (/ (* (pow y 2) (+ y (* -1 x))) (- (pow y 2) (pow x 2))) (/ (pow x 2) (- y (* -1 x))))) (taylor -inf x) (#s(alt (fabs.f64 (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)))))) (patch (fabs.f64 (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)))))) #<representation binary64>) () ())) ())
#s(alt (fabs (- (/ (* (pow y 2) (+ y (* -1 x))) (- (pow y 2) (pow x 2))) (/ (pow x 2) (- y (* -1 x))))) (taylor -inf x) (#s(alt (fabs.f64 (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)))))) (patch (fabs.f64 (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)))))) #<representation binary64>) () ())) ())
#s(alt (fabs (- (/ (* (pow y 2) (+ y (* -1 x))) (- (pow y 2) (pow x 2))) (/ (pow x 2) (- y (* -1 x))))) (taylor -inf x) (#s(alt (fabs.f64 (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)))))) (patch (fabs.f64 (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)))))) #<representation binary64>) () ())) ())
#s(alt (fabs (- (/ (* (pow y 2) (+ y (* -1 x))) (- (pow y 2) (pow x 2))) (/ (pow x 2) (- y (* -1 x))))) (taylor -inf x) (#s(alt (fabs.f64 (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)))))) (patch (fabs.f64 (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)))))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (fabs (neg (+ y (* -1 x))))) (sqrt 1/2)) (taylor -inf x) (#s(alt (pow.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64)) (patch (pow.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (fabs (neg (+ y (* -1 x))))) (sqrt 1/2)) (taylor -inf x) (#s(alt (pow.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64)) (patch (pow.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (fabs (neg (+ y (* -1 x))))) (sqrt 1/2)) (taylor -inf x) (#s(alt (pow.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64)) (patch (pow.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (fabs (neg (+ y (* -1 x))))) (sqrt 1/2)) (taylor -inf x) (#s(alt (pow.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64)) (patch (pow.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (fma.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64)) x) (patch (fma.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (* (fabs (neg (+ y (* -1 x)))) (pow (sqrt 1/2) 2)) x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64)) x) (patch (fma.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (* (fabs (neg (+ y (* -1 x)))) (pow (sqrt 1/2) 2)) x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64)) x) (patch (fma.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (* (fabs (neg (+ y (* -1 x)))) (pow (sqrt 1/2) 2)) x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64)) x) (patch (fma.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (neg (+ y (* -1 x))))) (taylor -inf x) (#s(alt (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) (patch (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (neg (+ y (* -1 x))))) (taylor -inf x) (#s(alt (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) (patch (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (neg (+ y (* -1 x))))) (taylor -inf x) (#s(alt (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) (patch (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (neg (+ y (* -1 x))))) (taylor -inf x) (#s(alt (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) (patch (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 (neg.f64 x) x (.f64 y y)) (patch (fma.f64 (neg.f64 x) x (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (/ (pow y 2) (pow x 2)) 1)) (taylor -inf x) (#s(alt (fma.f64 (neg.f64 x) x (.f64 y y)) (patch (fma.f64 (neg.f64 x) x (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (/ (pow y 2) (pow x 2)) 1)) (taylor -inf x) (#s(alt (fma.f64 (neg.f64 x) x (.f64 y y)) (patch (fma.f64 (neg.f64 x) x (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (/ (pow y 2) (pow x 2)) 1)) (taylor -inf x) (#s(alt (fma.f64 (neg.f64 x) x (.f64 y y)) (patch (fma.f64 (neg.f64 x) x (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (pow y 2) (pow x 2))) (taylor -inf x) (#s(alt (/.f64 (.f64 y y) (fma.f64 (neg.f64 x) x (.f64 y y))) (patch (/.f64 (.f64 y y) (fma.f64 (neg.f64 x) x (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (/ (pow y 4) (pow x 2))) (* -1 (pow y 2))) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (.f64 y y) (fma.f64 (neg.f64 x) x (.f64 y y))) (patch (/.f64 (.f64 y y) (fma.f64 (neg.f64 x) x (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (* -1 (/ (pow y 6) (pow x 4))) (* -1 (pow y 2))) (/ (pow y 4) (pow x 2))) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (.f64 y y) (fma.f64 (neg.f64 x) x (.f64 y y))) (patch (/.f64 (.f64 y y) (fma.f64 (neg.f64 x) x (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (* -1 (/ (pow y 8) (pow x 6))) (* -1 (pow y 2))) (+ (/ (pow y 4) (pow x 2)) (/ (pow y 6) (pow x 4)))) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (.f64 y y) (fma.f64 (neg.f64 x) x (.f64 y y))) (patch (/.f64 (.f64 y y) (fma.f64 (neg.f64 x) x (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (.f64 x (/.f64 x (+.f64 x y))) (patch (.f64 x (/.f64 x (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt (.f64 x (/.f64 x (+.f64 x y))) (patch (.f64 x (/.f64 x (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- (/ (pow y 2) x) y) x)) 1))) (taylor -inf x) (#s(alt (.f64 x (/.f64 x (+.f64 x y))) (patch (.f64 x (/.f64 x (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) x) (pow y 2)) x)) y) x)) 1))) (taylor -inf x) (#s(alt (.f64 x (/.f64 x (+.f64 x y))) (patch (.f64 x (/.f64 x (+.f64 x y))) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
8.0ms	x	@	-inf	((+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (+ x (/ (fabs (- y x)) 2)) (* (fabs (- y x)) 1/2) (fabs (- y x)) (- y x) (/ (* (fabs (+ (* (neg x) x) (* y y))) 1/2) (fabs (+ x y))) (+ x (/ (* (fabs (+ (* (neg x) x) (* y y))) 1/2) (fabs (+ x y)))) (* (fabs (+ (* (neg x) x) (* y y))) 1/2) (fabs (+ (* (neg x) x) (* y y))) (+ (* (/ (* y y) (+ (* (neg x) x) (* y y))) (- y x)) (neg (* x (/ x (+ x y))))) (+ x (/ (fabs (+ (* (/ (* y y) (+ (* (neg x) x) (* y y))) (- y x)) (neg (* x (/ x (+ x y)))))) 2)) (/ (fabs (+ (* (/ (* y y) (+ (* (neg x) x) (* y y))) (- y x)) (neg (* x (/ x (+ x y)))))) 2) (fabs (+ (* (/ (* y y) (+ (* (neg x) x) (* y y))) (- y x)) (neg (* x (/ x (+ x y)))))) (pow (* 1/2 (fabs (- x y))) 1/2) (+ (* (pow (* 1/2 (fabs (- x y))) 1/2) (pow (* 1/2 (fabs (- x y))) 1/2)) x) (* 1/2 (fabs (- x y))) (+ (* (neg x) x) (* y y)) (/ (* y y) (+ (* (neg x) x) (* y y))) (* x (/ x (+ x y))))
7.0ms	y	@	0	((+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (+ x (/ (fabs (- y x)) 2)) (* (fabs (- y x)) 1/2) (fabs (- y x)) (- y x) (/ (* (fabs (+ (* (neg x) x) (* y y))) 1/2) (fabs (+ x y))) (+ x (/ (* (fabs (+ (* (neg x) x) (* y y))) 1/2) (fabs (+ x y)))) (* (fabs (+ (* (neg x) x) (* y y))) 1/2) (fabs (+ (* (neg x) x) (* y y))) (+ (* (/ (* y y) (+ (* (neg x) x) (* y y))) (- y x)) (neg (* x (/ x (+ x y))))) (+ x (/ (fabs (+ (* (/ (* y y) (+ (* (neg x) x) (* y y))) (- y x)) (neg (* x (/ x (+ x y)))))) 2)) (/ (fabs (+ (* (/ (* y y) (+ (* (neg x) x) (* y y))) (- y x)) (neg (* x (/ x (+ x y)))))) 2) (fabs (+ (* (/ (* y y) (+ (* (neg x) x) (* y y))) (- y x)) (neg (* x (/ x (+ x y)))))) (pow (* 1/2 (fabs (- x y))) 1/2) (+ (* (pow (* 1/2 (fabs (- x y))) 1/2) (pow (* 1/2 (fabs (- x y))) 1/2)) x) (* 1/2 (fabs (- x y))) (+ (* (neg x) x) (* y y)) (/ (* y y) (+ (* (neg x) x) (* y y))) (* x (/ x (+ x y))))
6.0ms	x	@	0	((+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (+ x (/ (fabs (- y x)) 2)) (* (fabs (- y x)) 1/2) (fabs (- y x)) (- y x) (/ (* (fabs (+ (* (neg x) x) (* y y))) 1/2) (fabs (+ x y))) (+ x (/ (* (fabs (+ (* (neg x) x) (* y y))) 1/2) (fabs (+ x y)))) (* (fabs (+ (* (neg x) x) (* y y))) 1/2) (fabs (+ (* (neg x) x) (* y y))) (+ (* (/ (* y y) (+ (* (neg x) x) (* y y))) (- y x)) (neg (* x (/ x (+ x y))))) (+ x (/ (fabs (+ (* (/ (* y y) (+ (* (neg x) x) (* y y))) (- y x)) (neg (* x (/ x (+ x y)))))) 2)) (/ (fabs (+ (* (/ (* y y) (+ (* (neg x) x) (* y y))) (- y x)) (neg (* x (/ x (+ x y)))))) 2) (fabs (+ (* (/ (* y y) (+ (* (neg x) x) (* y y))) (- y x)) (neg (* x (/ x (+ x y)))))) (pow (* 1/2 (fabs (- x y))) 1/2) (+ (* (pow (* 1/2 (fabs (- x y))) 1/2) (pow (* 1/2 (fabs (- x y))) 1/2)) x) (* 1/2 (fabs (- x y))) (+ (* (neg x) x) (* y y)) (/ (* y y) (+ (* (neg x) x) (* y y))) (* x (/ x (+ x y))))
5.0ms	y	@	inf	((+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (+ x (/ (fabs (- y x)) 2)) (* (fabs (- y x)) 1/2) (fabs (- y x)) (- y x) (/ (* (fabs (+ (* (neg x) x) (* y y))) 1/2) (fabs (+ x y))) (+ x (/ (* (fabs (+ (* (neg x) x) (* y y))) 1/2) (fabs (+ x y)))) (* (fabs (+ (* (neg x) x) (* y y))) 1/2) (fabs (+ (* (neg x) x) (* y y))) (+ (* (/ (* y y) (+ (* (neg x) x) (* y y))) (- y x)) (neg (* x (/ x (+ x y))))) (+ x (/ (fabs (+ (* (/ (* y y) (+ (* (neg x) x) (* y y))) (- y x)) (neg (* x (/ x (+ x y)))))) 2)) (/ (fabs (+ (* (/ (* y y) (+ (* (neg x) x) (* y y))) (- y x)) (neg (* x (/ x (+ x y)))))) 2) (fabs (+ (* (/ (* y y) (+ (* (neg x) x) (* y y))) (- y x)) (neg (* x (/ x (+ x y)))))) (pow (* 1/2 (fabs (- x y))) 1/2) (+ (* (pow (* 1/2 (fabs (- x y))) 1/2) (pow (* 1/2 (fabs (- x y))) 1/2)) x) (* 1/2 (fabs (- x y))) (+ (* (neg x) x) (* y y)) (/ (* y y) (+ (* (neg x) x) (* y y))) (* x (/ x (+ x y))))
5.0ms	x	@	inf	((+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (+ x (/ (fabs (- y x)) 2)) (* (fabs (- y x)) 1/2) (fabs (- y x)) (- y x) (/ (* (fabs (+ (* (neg x) x) (* y y))) 1/2) (fabs (+ x y))) (+ x (/ (* (fabs (+ (* (neg x) x) (* y y))) 1/2) (fabs (+ x y)))) (* (fabs (+ (* (neg x) x) (* y y))) 1/2) (fabs (+ (* (neg x) x) (* y y))) (+ (* (/ (* y y) (+ (* (neg x) x) (* y y))) (- y x)) (neg (* x (/ x (+ x y))))) (+ x (/ (fabs (+ (* (/ (* y y) (+ (* (neg x) x) (* y y))) (- y x)) (neg (* x (/ x (+ x y)))))) 2)) (/ (fabs (+ (* (/ (* y y) (+ (* (neg x) x) (* y y))) (- y x)) (neg (* x (/ x (+ x y)))))) 2) (fabs (+ (* (/ (* y y) (+ (* (neg x) x) (* y y))) (- y x)) (neg (* x (/ x (+ x y)))))) (pow (* 1/2 (fabs (- x y))) 1/2) (+ (* (pow (* 1/2 (fabs (- x y))) 1/2) (pow (* 1/2 (fabs (- x y))) 1/2)) x) (* 1/2 (fabs (- x y))) (+ (* (neg x) x) (* y y)) (/ (* y y) (+ (* (neg x) x) (* y y))) (* x (/ x (+ x y))))

simplify172.0ms (1.9%)

Memory

2.3MiB live, 188.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	401	5693
1	1110	5626
2	3212	5581
0	8203	5364

Stop Event

1×	iter limit
1×	node limit

Counts

504 → 482

Calls

Call 1

Inputs
(+ x (* 1/2 (fabs (- x y))))
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(* x (- (/ y x) 1))
(* x (- (/ y x) 1))
(* 1/2 (/ (fabs (- (pow y 2) (pow x 2))) (fabs (+ x y))))
(* 1/2 (/ (fabs (- (pow y 2) (pow x 2))) (fabs (+ x y))))
(* 1/2 (/ (fabs (- (pow y 2) (pow x 2))) (fabs (+ x y))))
(* 1/2 (/ (fabs (- (pow y 2) (pow x 2))) (fabs (+ x y))))
x
(* x (+ 1 (* 1/2 (/ (fabs (- (pow y 2) (pow x 2))) (* x (fabs (+ x y)))))))
(* x (+ 1 (* 1/2 (/ (fabs (- (pow y 2) (pow x 2))) (* x (fabs (+ x y)))))))
(* x (+ 1 (* 1/2 (/ (fabs (- (pow y 2) (pow x 2))) (* x (fabs (+ x y)))))))
(* 1/2 (fabs (- (pow y 2) (pow x 2))))
(* 1/2 (fabs (- (pow y 2) (pow x 2))))
(* 1/2 (fabs (- (pow y 2) (pow x 2))))
(* 1/2 (fabs (- (pow y 2) (pow x 2))))
(fabs (- (pow y 2) (pow x 2)))
(fabs (- (pow y 2) (pow x 2)))
(fabs (- (pow y 2) (pow x 2)))
(fabs (- (pow y 2) (pow x 2)))
(* -1 x)
(* x (- (/ y x) 1))
(* x (- (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (/ y x) (/ (pow y 2) (pow x 2)))) 1))
(* x (- (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (* -1 (/ (pow y 3) (pow x 3))) (+ (/ y x) (+ (/ (pow y 2) (pow x 2)) (/ (pow y 3) (pow x 3)))))) 1))
x
(* x (+ 1 (* 1/2 (/ (fabs (- (/ (* (pow y 2) (- y x)) (- (pow y 2) (pow x 2))) (/ (pow x 2) (+ x y)))) x))))
(* x (+ 1 (* 1/2 (/ (fabs (- (/ (* (pow y 2) (- y x)) (- (pow y 2) (pow x 2))) (/ (pow x 2) (+ x y)))) x))))
(* x (+ 1 (* 1/2 (/ (fabs (- (/ (* (pow y 2) (- y x)) (- (pow y 2) (pow x 2))) (/ (pow x 2) (+ x y)))) x))))
(* 1/2 (fabs (- (/ (* (pow y 2) (- y x)) (- (pow y 2) (pow x 2))) (/ (pow x 2) (+ x y)))))
(* 1/2 (fabs (- (/ (* (pow y 2) (- y x)) (- (pow y 2) (pow x 2))) (/ (pow x 2) (+ x y)))))
(* 1/2 (fabs (- (/ (* (pow y 2) (- y x)) (- (pow y 2) (pow x 2))) (/ (pow x 2) (+ x y)))))
(* 1/2 (fabs (- (/ (* (pow y 2) (- y x)) (- (pow y 2) (pow x 2))) (/ (pow x 2) (+ x y)))))
(fabs (- (/ (* (pow y 2) (- y x)) (- (pow y 2) (pow x 2))) (/ (pow x 2) (+ x y))))
(fabs (- (/ (* (pow y 2) (- y x)) (- (pow y 2) (pow x 2))) (/ (pow x 2) (+ x y))))
(fabs (- (/ (* (pow y 2) (- y x)) (- (pow y 2) (pow x 2))) (/ (pow x 2) (+ x y))))
(fabs (- (/ (* (pow y 2) (- y x)) (- (pow y 2) (pow x 2))) (/ (pow x 2) (+ x y))))
(* (sqrt (fabs (- x y))) (sqrt 1/2))
(* (sqrt (fabs (- x y))) (sqrt 1/2))
(* (sqrt (fabs (- x y))) (sqrt 1/2))
(* (sqrt (fabs (- x y))) (sqrt 1/2))
x
(* x (+ 1 (/ (* (fabs (- x y)) (pow (sqrt 1/2) 2)) x)))
(* x (+ 1 (/ (* (fabs (- x y)) (pow (sqrt 1/2) 2)) x)))
(* x (+ 1 (/ (* (fabs (- x y)) (pow (sqrt 1/2) 2)) x)))
(* 1/2 (fabs (- x y)))
(* 1/2 (fabs (- x y)))
(* 1/2 (fabs (- x y)))
(* 1/2 (fabs (- x y)))
(* -1 (pow x 2))
(* (pow x 2) (- (/ (pow y 2) (pow x 2)) 1))
(* (pow x 2) (- (/ (pow y 2) (pow x 2)) 1))
(* (pow x 2) (- (/ (pow y 2) (pow x 2)) 1))
(* -1 (/ (pow y 2) (pow x 2)))
(/ (+ (* -1 (/ (pow y 4) (pow x 2))) (* -1 (pow y 2))) (pow x 2))
(/ (- (+ (* -1 (/ (pow y 6) (pow x 4))) (* -1 (pow y 2))) (/ (pow y 4) (pow x 2))) (pow x 2))
(/ (- (+ (* -1 (/ (pow y 8) (pow x 6))) (* -1 (pow y 2))) (+ (/ (pow y 4) (pow x 2)) (/ (pow y 6) (pow x 4)))) (pow x 2))
x
(* x (+ 1 (* -1 (/ y x))))
(* x (- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x)))
(* x (- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))))
x
(* -1 (* x (- (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1)))
(* -1 (* x (- (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1)))
(* -1 (* x (- (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1)))
(fabs (neg (+ y (* -1 x))))
(fabs (neg (+ y (* -1 x))))
(fabs (neg (+ y (* -1 x))))
(fabs (neg (+ y (* -1 x))))
x
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
x
(* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1)))
(* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1)))
(* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1)))
(* 1/2 (fabs (+ y (* -1 x))))
(* 1/2 (fabs (+ y (* -1 x))))
(* 1/2 (fabs (+ y (* -1 x))))
(* 1/2 (fabs (+ y (* -1 x))))
(fabs (+ y (* -1 x)))
(fabs (+ y (* -1 x)))
(fabs (+ y (* -1 x)))
(fabs (+ y (* -1 x)))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* 1/2 (/ (fabs (- (pow y 2) (pow x 2))) (fabs (- y (* -1 x)))))
(* 1/2 (/ (fabs (- (pow y 2) (pow x 2))) (fabs (- y (* -1 x)))))
(* 1/2 (/ (fabs (- (pow y 2) (pow x 2))) (fabs (- y (* -1 x)))))
(* 1/2 (/ (fabs (- (pow y 2) (pow x 2))) (fabs (- y (* -1 x)))))
x
(* -1 (* x (- (* -1/2 (/ (fabs (- (pow y 2) (pow x 2))) (* x (fabs (- y (* -1 x)))))) 1)))
(* -1 (* x (- (* -1/2 (/ (fabs (- (pow y 2) (pow x 2))) (* x (fabs (- y (* -1 x)))))) 1)))
(* -1 (* x (- (* -1/2 (/ (fabs (- (pow y 2) (pow x 2))) (* x (fabs (- y (* -1 x)))))) 1)))
(* 1/2 (fabs (- (pow y 2) (pow x 2))))
(* 1/2 (fabs (- (pow y 2) (pow x 2))))
(* 1/2 (fabs (- (pow y 2) (pow x 2))))
(* 1/2 (fabs (- (pow y 2) (pow x 2))))
(fabs (- (pow y 2) (pow x 2)))
(fabs (- (pow y 2) (pow x 2)))
(fabs (- (pow y 2) (pow x 2)))
(fabs (- (pow y 2) (pow x 2)))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1 (* x (+ 1 (* -1 (/ (+ y (* -1 (/ (+ (* -1 (pow y 2)) (pow y 2)) x))) x)))))
(* -1 (* x (+ 1 (* -1 (/ (+ y (* -1 (/ (+ (* -1 (/ (+ (* -1 (pow y 3)) (pow y 3)) x)) (+ (* -1 (pow y 2)) (pow y 2))) x))) x)))))
x
(* -1 (* x (- (* -1/2 (/ (fabs (- (/ (* (pow y 2) (+ y (* -1 x))) (- (pow y 2) (pow x 2))) (/ (pow x 2) (- y (* -1 x))))) x)) 1)))
(* -1 (* x (- (* -1/2 (/ (fabs (- (/ (* (pow y 2) (+ y (* -1 x))) (- (pow y 2) (pow x 2))) (/ (pow x 2) (- y (* -1 x))))) x)) 1)))
(* -1 (* x (- (* -1/2 (/ (fabs (- (/ (* (pow y 2) (+ y (* -1 x))) (- (pow y 2) (pow x 2))) (/ (pow x 2) (- y (* -1 x))))) x)) 1)))
(* 1/2 (fabs (- (/ (* (pow y 2) (+ y (* -1 x))) (- (pow y 2) (pow x 2))) (/ (pow x 2) (- y (* -1 x))))))
(* 1/2 (fabs (- (/ (* (pow y 2) (+ y (* -1 x))) (- (pow y 2) (pow x 2))) (/ (pow x 2) (- y (* -1 x))))))
(* 1/2 (fabs (- (/ (* (pow y 2) (+ y (* -1 x))) (- (pow y 2) (pow x 2))) (/ (pow x 2) (- y (* -1 x))))))
(* 1/2 (fabs (- (/ (* (pow y 2) (+ y (* -1 x))) (- (pow y 2) (pow x 2))) (/ (pow x 2) (- y (* -1 x))))))
(fabs (- (/ (* (pow y 2) (+ y (* -1 x))) (- (pow y 2) (pow x 2))) (/ (pow x 2) (- y (* -1 x)))))
(fabs (- (/ (* (pow y 2) (+ y (* -1 x))) (- (pow y 2) (pow x 2))) (/ (pow x 2) (- y (* -1 x)))))
(fabs (- (/ (* (pow y 2) (+ y (* -1 x))) (- (pow y 2) (pow x 2))) (/ (pow x 2) (- y (* -1 x)))))
(fabs (- (/ (* (pow y 2) (+ y (* -1 x))) (- (pow y 2) (pow x 2))) (/ (pow x 2) (- y (* -1 x)))))
(* (sqrt (fabs (neg (+ y (* -1 x))))) (sqrt 1/2))
(* (sqrt (fabs (neg (+ y (* -1 x))))) (sqrt 1/2))
(* (sqrt (fabs (neg (+ y (* -1 x))))) (sqrt 1/2))
(* (sqrt (fabs (neg (+ y (* -1 x))))) (sqrt 1/2))
x
(* -1 (* x (- (* -1 (/ (* (fabs (neg (+ y (* -1 x)))) (pow (sqrt 1/2) 2)) x)) 1)))
(* -1 (* x (- (* -1 (/ (* (fabs (neg (+ y (* -1 x)))) (pow (sqrt 1/2) 2)) x)) 1)))
(* -1 (* x (- (* -1 (/ (* (fabs (neg (+ y (* -1 x)))) (pow (sqrt 1/2) 2)) x)) 1)))
(* 1/2 (fabs (neg (+ y (* -1 x)))))
(* 1/2 (fabs (neg (+ y (* -1 x)))))
(* 1/2 (fabs (neg (+ y (* -1 x)))))
(* 1/2 (fabs (neg (+ y (* -1 x)))))
(* -1 (pow x 2))
(* (pow x 2) (- (/ (pow y 2) (pow x 2)) 1))
(* (pow x 2) (- (/ (pow y 2) (pow x 2)) 1))
(* (pow x 2) (- (/ (pow y 2) (pow x 2)) 1))
(* -1 (/ (pow y 2) (pow x 2)))
(/ (+ (* -1 (/ (pow y 4) (pow x 2))) (* -1 (pow y 2))) (pow x 2))
(/ (- (+ (* -1 (/ (pow y 6) (pow x 4))) (* -1 (pow y 2))) (/ (pow y 4) (pow x 2))) (pow x 2))
(/ (- (+ (* -1 (/ (pow y 8) (pow x 6))) (* -1 (pow y 2))) (+ (/ (pow y 4) (pow x 2)) (/ (pow y 6) (pow x 4)))) (pow x 2))
x
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (* -1 (/ (- (/ (pow y 2) x) y) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) x) (pow y 2)) x)) y) x)) 1)))

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

rewrite235.0ms (2.7%)

Memory

16.5MiB live, 209.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	250
0	65	218
1	269	218
2	2030	218
0	8474	217

Stop Event

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

Counts

21 → 1 192

Calls

Call 1

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

Outputs
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eval443.0ms (5%)

Memory: 13.8MiB live, 598.4MiB allocated
Compiler: Compiled 63 097 to 5 187 computations (91.8% saved)

prune255.0ms (2.9%)

Memory

-38.3MiB live, 219.6MiB allocated

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	2 197	12	2 209
Fresh	4	0	4
Picked	4	1	5
Done	0	0	0
Total	2 205	13	2 218

Accuracy

100.0%

Counts

2 218 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(fma.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 y x))) #s(literal -1/4 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))) #s(literal 3/4 binary64)) x)
	99.5%	(fma.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 y x))))) x)
	53.4%	(fma.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 (+.f64 y x))) (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y))) x)
▶	99.3%	(fma.f64 (*.f64 (sqrt.f64 (fabs.f64 (-.f64 y x))) (sqrt.f64 (fabs.f64 (-.f64 y x)))) #s(literal 1/2 binary64) x)
	71.1%	(fma.f64 (sqrt.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 y x))) #s(literal -3/2 binary64))) (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))))) x)
	53.3%	(fma.f64 (sqrt.f64 (.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))) (fabs.f64 (-.f64 y x)))) (sqrt.f64 #s(literal 1/2 binary64)) x)
	99.3%	(fma.f64 (sqrt.f64 (.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))) #s(literal 1/2 binary64))) (sqrt.f64 (fabs.f64 (-.f64 y x))) x)
▶	53.5%	(fma.f64 (fabs.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (+.f64 y x))) #s(literal 1/2 binary64) x)
✓	99.9%	(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
	87.3%	(fma.f64 (fabs.f64 #s(approx (- x y) (fma.f64 (/.f64 (neg.f64 y) x) x x))) #s(literal 1/2 binary64) x)
▶	90.8%	(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)
▶	7.4%	#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64)))

Compiler

Compiled 349 to 254 computations (27.2% saved)

simplify169.0ms (1.9%)

Memory

20.9MiB live, 213.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(fabs.f64 (-.f64 y x))
cost-diff	0	(sqrt.f64 (fabs.f64 (-.f64 y x)))
cost-diff	0	(fma.f64 (*.f64 (sqrt.f64 (fabs.f64 (-.f64 y x))) (sqrt.f64 (fabs.f64 (-.f64 y x)))) #s(literal 1/2 binary64) x)
cost-diff	1920	(*.f64 (sqrt.f64 (fabs.f64 (-.f64 y x))) (sqrt.f64 (fabs.f64 (-.f64 y x))))
cost-diff	0	(*.f64 (+.f64 y x) (-.f64 x y))
cost-diff	0	(fabs.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (+.f64 y x)))
cost-diff	0	(fma.f64 (fabs.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (+.f64 y x))) #s(literal 1/2 binary64) x)
cost-diff	1408	(/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (+.f64 y x))
cost-diff	0	#s(approx (- 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	0	(pow.f64 (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 y x))) #s(literal -1/4 binary64))
cost-diff	0	(fma.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 y x))) #s(literal -1/4 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))) #s(literal 3/4 binary64)) x)

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	39	254
0	67	240
1	101	240
2	151	228
3	242	224
4	528	199
5	1364	199
6	4398	199
0	8529	199

Stop Event

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

Calls

Call 1

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

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

localize172.0ms (1.9%)

Memory

4.8MiB live, 193.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(fabs.f64 (-.f64 y x))
accuracy	0.01953125	(sqrt.f64 (fabs.f64 (-.f64 y x)))
accuracy	0.05859375	(fma.f64 (*.f64 (sqrt.f64 (fabs.f64 (-.f64 y x))) (sqrt.f64 (fabs.f64 (-.f64 y x)))) #s(literal 1/2 binary64) x)
accuracy	0.5084762695368841	(*.f64 (sqrt.f64 (fabs.f64 (-.f64 y x))) (sqrt.f64 (fabs.f64 (-.f64 y x))))
accuracy	0	(*.f64 (+.f64 y x) (-.f64 x y))
accuracy	0	(fabs.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (+.f64 y x)))
accuracy	0.05859375	(fma.f64 (fabs.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (+.f64 y x))) #s(literal 1/2 binary64) x)
accuracy	29.41449354234122	(/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (+.f64 y x))
accuracy	0	#s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y))
accuracy	0.006191259768442017	(-.f64 (/.f64 x y) #s(literal 1 binary64))
accuracy	0.05859375	(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	5.6570968480755	(*.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	30.148258787716767	#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64)))
accuracy	31.647417432203802	#s(approx (- y x) (neg.f64 x))
accuracy	0.015625	(pow.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))) #s(literal 3/4 binary64))
accuracy	0.0234375	(/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 y x)))
accuracy	0.05859375	(pow.f64 (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 y x))) #s(literal -1/4 binary64))
accuracy	0.2109375	(fma.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 y x))) #s(literal -1/4 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))) #s(literal 3/4 binary64)) x)

Samples

120.0ms	234×	0	valid
9.0ms	6×	3	valid
9.0ms	9×	2	valid
4.0ms	7×	1	valid

Compiler

Compiled 217 to 38 computations (82.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 109.0ms

ival-div: 30.0ms (27.4% of total)

ival-sub: 23.0ms (21% of total)

ival-pow: 17.0ms (15.5% of total)

ival-mult: 15.0ms (13.7% of total)

ival-add: 12.0ms (11% of total)

ival-fabs: 5.0ms (4.6% of total)

adjust: 3.0ms (2.7% of total)

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

exact: 1.0ms (0.9% of total)

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

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

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

series508.0ms (5.7%)

Memory

-21.0MiB live, 636.6MiB allocated

Counts

22 → 516

Calls

Call 1

Inputs
#s(alt (fma.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 y x))) #s(literal -1/4 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))) #s(literal 3/4 binary64)) x) (patch (fma.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 y x))) #s(literal -1/4 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))) #s(literal 3/4 binary64)) x) #<representation binary64>) () ())
#s(alt (pow.f64 (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 y x))) #s(literal -1/4 binary64)) (patch (pow.f64 (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 y x))) #s(literal -1/4 binary64)) #<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 (.f64 (+.f64 y x) (-.f64 x y)) (+.f64 y x)) (patch (/.f64 (.f64 (+.f64 y x) (-.f64 x y)) (+.f64 y x)) #<representation binary64>) () ())
#s(alt (fma.f64 (fabs.f64 (/.f64 (.f64 (+.f64 y x) (-.f64 x y)) (+.f64 y x))) #s(literal 1/2 binary64) x) (patch (fma.f64 (fabs.f64 (/.f64 (.f64 (+.f64 y x) (-.f64 x y)) (+.f64 y x))) #s(literal 1/2 binary64) x) #<representation binary64>) () ())
#s(alt (fabs.f64 (/.f64 (.f64 (+.f64 y x) (-.f64 x y)) (+.f64 y x))) (patch (fabs.f64 (/.f64 (.f64 (+.f64 y x) (-.f64 x y)) (+.f64 y x))) #<representation binary64>) () ())
#s(alt (.f64 (+.f64 y x) (-.f64 x y)) (patch (.f64 (+.f64 y x) (-.f64 x y)) #<representation binary64>) () ())
#s(alt (.f64 (sqrt.f64 (fabs.f64 (-.f64 y x))) (sqrt.f64 (fabs.f64 (-.f64 y x)))) (patch (.f64 (sqrt.f64 (fabs.f64 (-.f64 y x))) (sqrt.f64 (fabs.f64 (-.f64 y x)))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 (sqrt.f64 (fabs.f64 (-.f64 y x))) (sqrt.f64 (fabs.f64 (-.f64 y x)))) #s(literal 1/2 binary64) x) (patch (fma.f64 (.f64 (sqrt.f64 (fabs.f64 (-.f64 y x))) (sqrt.f64 (fabs.f64 (-.f64 y x)))) #s(literal 1/2 binary64) x) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fabs.f64 (-.f64 y x))) (patch (sqrt.f64 (fabs.f64 (-.f64 y x))) #<representation binary64>) () ())
#s(alt (pow.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))) #s(literal 3/4 binary64)) (patch (pow.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))) #s(literal 3/4 binary64)) #<representation binary64>) () ())
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())
#s(alt (-.f64 (/.f64 x y) #s(literal 1 binary64)) (patch (-.f64 (/.f64 x y) #s(literal 1 binary64)) #<representation binary64>) () ())

Outputs
#s(alt (+ x (* (pow 1/16 1/4) (fabs (- y x)))) (taylor 0 y) (#s(alt (fma.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 y x))) #s(literal -1/4 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))) #s(literal 3/4 binary64)) x) (patch (fma.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 y x))) #s(literal -1/4 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))) #s(literal 3/4 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* (pow 1/16 1/4) (fabs (- y x)))) (taylor 0 y) (#s(alt (fma.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 y x))) #s(literal -1/4 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))) #s(literal 3/4 binary64)) x) (patch (fma.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 y x))) #s(literal -1/4 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))) #s(literal 3/4 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* (pow 1/16 1/4) (fabs (- y x)))) (taylor 0 y) (#s(alt (fma.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 y x))) #s(literal -1/4 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))) #s(literal 3/4 binary64)) x) (patch (fma.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 y x))) #s(literal -1/4 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))) #s(literal 3/4 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* (pow 1/16 1/4) (fabs (- y x)))) (taylor 0 y) (#s(alt (fma.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 y x))) #s(literal -1/4 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))) #s(literal 3/4 binary64)) x) (patch (fma.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 y x))) #s(literal -1/4 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))) #s(literal 3/4 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (pow (* 1/2 (fabs (- y x))) 1/4) (taylor 0 y) (#s(alt (pow.f64 (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 y x))) #s(literal -1/4 binary64)) (patch (pow.f64 (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 y x))) #s(literal -1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (* 1/2 (fabs (- y x))) 1/4) (taylor 0 y) (#s(alt (pow.f64 (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 y x))) #s(literal -1/4 binary64)) (patch (pow.f64 (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 y x))) #s(literal -1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (* 1/2 (fabs (- y x))) 1/4) (taylor 0 y) (#s(alt (pow.f64 (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 y x))) #s(literal -1/4 binary64)) (patch (pow.f64 (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 y x))) #s(literal -1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (* 1/2 (fabs (- y x))) 1/4) (taylor 0 y) (#s(alt (pow.f64 (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 y x))) #s(literal -1/4 binary64)) (patch (pow.f64 (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 y x))) #s(literal -1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 2 (fabs (- y x))) (taylor 0 y) (#s(alt (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 y x))) (patch (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (fabs (- y x))) (taylor 0 y) (#s(alt (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 y x))) (patch (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (fabs (- y x))) (taylor 0 y) (#s(alt (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 y x))) (patch (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (fabs (- y x))) (taylor 0 y) (#s(alt (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 y x))) (patch (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (fabs (- y x)) (taylor 0 y) (#s(alt (fabs.f64 (-.f64 y x)) (patch (fabs.f64 (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (fabs (- y x)) (taylor 0 y) (#s(alt (fabs.f64 (-.f64 y x)) (patch (fabs.f64 (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (fabs (- y x)) (taylor 0 y) (#s(alt (fabs.f64 (-.f64 y x)) (patch (fabs.f64 (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (fabs (- y x)) (taylor 0 y) (#s(alt (fabs.f64 (-.f64 y x)) (patch (fabs.f64 (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/2 (fabs (- y x)))) (taylor 0 y) (#s(alt #s(approx (+ x (/ (fabs (- y x)) 2)) (.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64))) (patch #s(approx (+ x (/ (fabs (- y x)) 2)) (.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/2 (fabs (- y x)))) (taylor 0 y) (#s(alt #s(approx (+ x (/ (fabs (- y x)) 2)) (.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64))) (patch #s(approx (+ x (/ (fabs (- y x)) 2)) (.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/2 (fabs (- y x)))) (taylor 0 y) (#s(alt #s(approx (+ x (/ (fabs (- y x)) 2)) (.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64))) (patch #s(approx (+ x (/ (fabs (- y x)) 2)) (.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/2 (fabs (- y x)))) (taylor 0 y) (#s(alt #s(approx (+ x (/ (fabs (- y x)) 2)) (.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64))) (patch #s(approx (+ x (/ (fabs (- y x)) 2)) (.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- y x))) (taylor 0 y) (#s(alt (.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64)) (patch (.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- y x))) (taylor 0 y) (#s(alt (.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64)) (patch (.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- y x))) (taylor 0 y) (#s(alt (.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64)) (patch (.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- y x))) (taylor 0 y) (#s(alt (.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64)) (patch (.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (fabs (- y x)) (taylor 0 y) (#s(alt (fabs.f64 #s(approx (- y x) (neg.f64 x))) (patch (fabs.f64 #s(approx (- y x) (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (fabs (- y x)) (taylor 0 y) (#s(alt (fabs.f64 #s(approx (- y x) (neg.f64 x))) (patch (fabs.f64 #s(approx (- y x) (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (fabs (- y x)) (taylor 0 y) (#s(alt (fabs.f64 #s(approx (- y x) (neg.f64 x))) (patch (fabs.f64 #s(approx (- y x) (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (fabs (- y x)) (taylor 0 y) (#s(alt (fabs.f64 #s(approx (- y x) (neg.f64 x))) (patch (fabs.f64 #s(approx (- y x) (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 y) (#s(alt #s(approx (- y x) (neg.f64 x)) (patch #s(approx (- y x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- y x) (taylor 0 y) (#s(alt #s(approx (- y x) (neg.f64 x)) (patch #s(approx (- y x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- y x) (taylor 0 y) (#s(alt #s(approx (- y x) (neg.f64 x)) (patch #s(approx (- y x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- y x) (taylor 0 y) (#s(alt #s(approx (- y x) (neg.f64 x)) (patch #s(approx (- y x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y) (patch (.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt (.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y) (patch (.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#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 (* -1 (* x (- (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1))) (taylor -inf x) (#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 (* -1 (* x (- (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1))) (taylor -inf x) (#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 (* -1 (* x (- (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1))) (taylor -inf x) (#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 (neg (+ y (* -1 x)))) (taylor -inf x) (#s(alt (fabs.f64 #s(approx (- x y) (.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y))) (patch (fabs.f64 #s(approx (- x y) (.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y))) #<representation binary64>) () ())) ())
#s(alt (fabs (neg (+ y (* -1 x)))) (taylor -inf x) (#s(alt (fabs.f64 #s(approx (- x y) (.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y))) (patch (fabs.f64 #s(approx (- x y) (.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y))) #<representation binary64>) () ())) ())
#s(alt (fabs (neg (+ y (* -1 x)))) (taylor -inf x) (#s(alt (fabs.f64 #s(approx (- x y) (.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y))) (patch (fabs.f64 #s(approx (- x y) (.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y))) #<representation binary64>) () ())) ())
#s(alt (fabs (neg (+ y (* -1 x)))) (taylor -inf x) (#s(alt (fabs.f64 #s(approx (- x y) (.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y))) (patch (fabs.f64 #s(approx (- x y) (.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#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 (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#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 (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#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 (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt #s(approx (- x y) (.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)) (patch #s(approx (- x y) (.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (/.f64 (.f64 (+.f64 y x) (-.f64 x y)) (+.f64 y x)) (patch (/.f64 (.f64 (+.f64 y x) (-.f64 x y)) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt (/.f64 (.f64 (+.f64 y x) (-.f64 x y)) (+.f64 y x)) (patch (/.f64 (.f64 (+.f64 y x) (-.f64 x y)) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt (/.f64 (.f64 (+.f64 y x) (-.f64 x y)) (+.f64 y x)) (patch (/.f64 (.f64 (+.f64 y x) (-.f64 x y)) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt (/.f64 (.f64 (+.f64 y x) (-.f64 x y)) (+.f64 y x)) (patch (/.f64 (.f64 (+.f64 y x) (-.f64 x y)) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (fma.f64 (fabs.f64 (/.f64 (.f64 (+.f64 y x) (-.f64 x y)) (+.f64 y x))) #s(literal 1/2 binary64) x) (patch (fma.f64 (fabs.f64 (/.f64 (.f64 (+.f64 y x) (-.f64 x y)) (+.f64 y x))) #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/2 (/ (fabs (* -1 (+ y (* -1 x)))) x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (fabs.f64 (/.f64 (.f64 (+.f64 y x) (-.f64 x y)) (+.f64 y x))) #s(literal 1/2 binary64) x) (patch (fma.f64 (fabs.f64 (/.f64 (.f64 (+.f64 y x) (-.f64 x y)) (+.f64 y x))) #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/2 (/ (fabs (* -1 (+ y (* -1 x)))) x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (fabs.f64 (/.f64 (.f64 (+.f64 y x) (-.f64 x y)) (+.f64 y x))) #s(literal 1/2 binary64) x) (patch (fma.f64 (fabs.f64 (/.f64 (.f64 (+.f64 y x) (-.f64 x y)) (+.f64 y x))) #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/2 (/ (fabs (* -1 (+ y (* -1 x)))) x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (fabs.f64 (/.f64 (.f64 (+.f64 y x) (-.f64 x y)) (+.f64 y x))) #s(literal 1/2 binary64) x) (patch (fma.f64 (fabs.f64 (/.f64 (.f64 (+.f64 y x) (-.f64 x y)) (+.f64 y x))) #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (fabs (* -1 (+ y (* -1 x)))) (taylor -inf x) (#s(alt (fabs.f64 (/.f64 (.f64 (+.f64 y x) (-.f64 x y)) (+.f64 y x))) (patch (fabs.f64 (/.f64 (.f64 (+.f64 y x) (-.f64 x y)) (+.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (fabs (* -1 (+ y (* -1 x)))) (taylor -inf x) (#s(alt (fabs.f64 (/.f64 (.f64 (+.f64 y x) (-.f64 x y)) (+.f64 y x))) (patch (fabs.f64 (/.f64 (.f64 (+.f64 y x) (-.f64 x y)) (+.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (fabs (* -1 (+ y (* -1 x)))) (taylor -inf x) (#s(alt (fabs.f64 (/.f64 (.f64 (+.f64 y x) (-.f64 x y)) (+.f64 y x))) (patch (fabs.f64 (/.f64 (.f64 (+.f64 y x) (-.f64 x y)) (+.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (fabs (* -1 (+ y (* -1 x)))) (taylor -inf x) (#s(alt (fabs.f64 (/.f64 (.f64 (+.f64 y x) (-.f64 x y)) (+.f64 y x))) (patch (fabs.f64 (/.f64 (.f64 (+.f64 y x) (-.f64 x y)) (+.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 (+.f64 y x) (-.f64 x y)) (patch (.f64 (+.f64 y x) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x)))) (taylor -inf x) (#s(alt (.f64 (+.f64 y x) (-.f64 x y)) (patch (.f64 (+.f64 y x) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x)))) (taylor -inf x) (#s(alt (.f64 (+.f64 y x) (-.f64 x y)) (patch (.f64 (+.f64 y x) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x)))) (taylor -inf x) (#s(alt (.f64 (+.f64 y x) (-.f64 x y)) (patch (.f64 (+.f64 y x) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (fabs (+ y (* -1 x))) (taylor -inf x) (#s(alt (.f64 (sqrt.f64 (fabs.f64 (-.f64 y x))) (sqrt.f64 (fabs.f64 (-.f64 y x)))) (patch (.f64 (sqrt.f64 (fabs.f64 (-.f64 y x))) (sqrt.f64 (fabs.f64 (-.f64 y x)))) #<representation binary64>) () ())) ())
#s(alt (fabs (+ y (* -1 x))) (taylor -inf x) (#s(alt (.f64 (sqrt.f64 (fabs.f64 (-.f64 y x))) (sqrt.f64 (fabs.f64 (-.f64 y x)))) (patch (.f64 (sqrt.f64 (fabs.f64 (-.f64 y x))) (sqrt.f64 (fabs.f64 (-.f64 y x)))) #<representation binary64>) () ())) ())
#s(alt (fabs (+ y (* -1 x))) (taylor -inf x) (#s(alt (.f64 (sqrt.f64 (fabs.f64 (-.f64 y x))) (sqrt.f64 (fabs.f64 (-.f64 y x)))) (patch (.f64 (sqrt.f64 (fabs.f64 (-.f64 y x))) (sqrt.f64 (fabs.f64 (-.f64 y x)))) #<representation binary64>) () ())) ())
#s(alt (fabs (+ y (* -1 x))) (taylor -inf x) (#s(alt (.f64 (sqrt.f64 (fabs.f64 (-.f64 y x))) (sqrt.f64 (fabs.f64 (-.f64 y x)))) (patch (.f64 (sqrt.f64 (fabs.f64 (-.f64 y x))) (sqrt.f64 (fabs.f64 (-.f64 y x)))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (fma.f64 (.f64 (sqrt.f64 (fabs.f64 (-.f64 y x))) (sqrt.f64 (fabs.f64 (-.f64 y x)))) #s(literal 1/2 binary64) x) (patch (fma.f64 (.f64 (sqrt.f64 (fabs.f64 (-.f64 y x))) (sqrt.f64 (fabs.f64 (-.f64 y x)))) #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (.f64 (sqrt.f64 (fabs.f64 (-.f64 y x))) (sqrt.f64 (fabs.f64 (-.f64 y x)))) #s(literal 1/2 binary64) x) (patch (fma.f64 (.f64 (sqrt.f64 (fabs.f64 (-.f64 y x))) (sqrt.f64 (fabs.f64 (-.f64 y x)))) #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (.f64 (sqrt.f64 (fabs.f64 (-.f64 y x))) (sqrt.f64 (fabs.f64 (-.f64 y x)))) #s(literal 1/2 binary64) x) (patch (fma.f64 (.f64 (sqrt.f64 (fabs.f64 (-.f64 y x))) (sqrt.f64 (fabs.f64 (-.f64 y x)))) #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (.f64 (sqrt.f64 (fabs.f64 (-.f64 y x))) (sqrt.f64 (fabs.f64 (-.f64 y x)))) #s(literal 1/2 binary64) x) (patch (fma.f64 (.f64 (sqrt.f64 (fabs.f64 (-.f64 y x))) (sqrt.f64 (fabs.f64 (-.f64 y x)))) #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (+ y (* -1 x)))) (taylor -inf x) (#s(alt (sqrt.f64 (fabs.f64 (-.f64 y x))) (patch (sqrt.f64 (fabs.f64 (-.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (+ y (* -1 x)))) (taylor -inf x) (#s(alt (sqrt.f64 (fabs.f64 (-.f64 y x))) (patch (sqrt.f64 (fabs.f64 (-.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (+ y (* -1 x)))) (taylor -inf x) (#s(alt (sqrt.f64 (fabs.f64 (-.f64 y x))) (patch (sqrt.f64 (fabs.f64 (-.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (+ y (* -1 x)))) (taylor -inf x) (#s(alt (sqrt.f64 (fabs.f64 (-.f64 y x))) (patch (sqrt.f64 (fabs.f64 (-.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (pow (* 1/8 (pow (fabs (+ y (* -1 x))) 3)) 1/4) (taylor -inf x) (#s(alt (pow.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))) #s(literal 3/4 binary64)) (patch (pow.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))) #s(literal 3/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (* 1/8 (pow (fabs (+ y (* -1 x))) 3)) 1/4) (taylor -inf x) (#s(alt (pow.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))) #s(literal 3/4 binary64)) (patch (pow.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))) #s(literal 3/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (* 1/8 (pow (fabs (+ y (* -1 x))) 3)) 1/4) (taylor -inf x) (#s(alt (pow.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))) #s(literal 3/4 binary64)) (patch (pow.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))) #s(literal 3/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (* 1/8 (pow (fabs (+ y (* -1 x))) 3)) 1/4) (taylor -inf x) (#s(alt (pow.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))) #s(literal 3/4 binary64)) (patch (pow.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))) #s(literal 3/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (-.f64 (/.f64 x y) #s(literal 1 binary64)) (patch (-.f64 (/.f64 x y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 x) (/ 1 y)))) (taylor -inf x) (#s(alt (-.f64 (/.f64 x y) #s(literal 1 binary64)) (patch (-.f64 (/.f64 x y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 x) (/ 1 y)))) (taylor -inf x) (#s(alt (-.f64 (/.f64 x y) #s(literal 1 binary64)) (patch (-.f64 (/.f64 x y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 x) (/ 1 y)))) (taylor -inf x) (#s(alt (-.f64 (/.f64 x y) #s(literal 1 binary64)) (patch (-.f64 (/.f64 x y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
130.0ms	y	@	0	((+ (* (pow (/ 2 (fabs (- y x))) -1/4) (pow (* 1/2 (fabs (- y x))) 3/4)) x) (pow (/ 2 (fabs (- y x))) -1/4) (/ 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) (/ (* (+ y x) (- x y)) (+ y x)) (+ (* (fabs (/ (* (+ y x) (- x y)) (+ y x))) 1/2) x) (fabs (/ (* (+ y x) (- x y)) (+ y x))) (* (+ y x) (- x y)) (* (sqrt (fabs (- y x))) (sqrt (fabs (- y x)))) (+ (* (* (sqrt (fabs (- y x))) (sqrt (fabs (- y x)))) 1/2) x) (sqrt (fabs (- y x))) (pow (* 1/2 (fabs (- y x))) 3/4) (neg x) (- (/ x y) 1))
112.0ms	y	@	-inf	((+ (* (pow (/ 2 (fabs (- y x))) -1/4) (pow (* 1/2 (fabs (- y x))) 3/4)) x) (pow (/ 2 (fabs (- y x))) -1/4) (/ 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) (/ (* (+ y x) (- x y)) (+ y x)) (+ (* (fabs (/ (* (+ y x) (- x y)) (+ y x))) 1/2) x) (fabs (/ (* (+ y x) (- x y)) (+ y x))) (* (+ y x) (- x y)) (* (sqrt (fabs (- y x))) (sqrt (fabs (- y x)))) (+ (* (* (sqrt (fabs (- y x))) (sqrt (fabs (- y x)))) 1/2) x) (sqrt (fabs (- y x))) (pow (* 1/2 (fabs (- y x))) 3/4) (neg x) (- (/ x y) 1))
103.0ms	x	@	inf	((+ (* (pow (/ 2 (fabs (- y x))) -1/4) (pow (* 1/2 (fabs (- y x))) 3/4)) x) (pow (/ 2 (fabs (- y x))) -1/4) (/ 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) (/ (* (+ y x) (- x y)) (+ y x)) (+ (* (fabs (/ (* (+ y x) (- x y)) (+ y x))) 1/2) x) (fabs (/ (* (+ y x) (- x y)) (+ y x))) (* (+ y x) (- x y)) (* (sqrt (fabs (- y x))) (sqrt (fabs (- y x)))) (+ (* (* (sqrt (fabs (- y x))) (sqrt (fabs (- y x)))) 1/2) x) (sqrt (fabs (- y x))) (pow (* 1/2 (fabs (- y x))) 3/4) (neg x) (- (/ x y) 1))
70.0ms	y	@	inf	((+ (* (pow (/ 2 (fabs (- y x))) -1/4) (pow (* 1/2 (fabs (- y x))) 3/4)) x) (pow (/ 2 (fabs (- y x))) -1/4) (/ 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) (/ (* (+ y x) (- x y)) (+ y x)) (+ (* (fabs (/ (* (+ y x) (- x y)) (+ y x))) 1/2) x) (fabs (/ (* (+ y x) (- x y)) (+ y x))) (* (+ y x) (- x y)) (* (sqrt (fabs (- y x))) (sqrt (fabs (- y x)))) (+ (* (* (sqrt (fabs (- y x))) (sqrt (fabs (- y x)))) 1/2) x) (sqrt (fabs (- y x))) (pow (* 1/2 (fabs (- y x))) 3/4) (neg x) (- (/ x y) 1))
49.0ms	x	@	-inf	((+ (* (pow (/ 2 (fabs (- y x))) -1/4) (pow (* 1/2 (fabs (- y x))) 3/4)) x) (pow (/ 2 (fabs (- y x))) -1/4) (/ 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) (/ (* (+ y x) (- x y)) (+ y x)) (+ (* (fabs (/ (* (+ y x) (- x y)) (+ y x))) 1/2) x) (fabs (/ (* (+ y x) (- x y)) (+ y x))) (* (+ y x) (- x y)) (* (sqrt (fabs (- y x))) (sqrt (fabs (- y x)))) (+ (* (* (sqrt (fabs (- y x))) (sqrt (fabs (- y x)))) 1/2) x) (sqrt (fabs (- y x))) (pow (* 1/2 (fabs (- y x))) 3/4) (neg x) (- (/ x y) 1))

simplify233.0ms (2.6%)

Memory

17.2MiB live, 402.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	166	2808
1	447	2748
2	1139	2748
3	4833	2748
0	8823	2643

Stop Event

1×	iter limit
1×	node limit

Counts

516 → 494

Calls

Call 1

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

Outputs
(+ x (* (pow 1/16 1/4) (fabs (- y x))))
(fma.f64 (fabs.f64 (-.f64 y x)) (pow.f64 #s(literal 1/16 binary64) #s(literal 1/4 binary64)) x)
(+ x (* (pow 1/16 1/4) (fabs (- y x))))
(fma.f64 (fabs.f64 (-.f64 y x)) (pow.f64 #s(literal 1/16 binary64) #s(literal 1/4 binary64)) x)
(+ x (* (pow 1/16 1/4) (fabs (- y x))))
(fma.f64 (fabs.f64 (-.f64 y x)) (pow.f64 #s(literal 1/16 binary64) #s(literal 1/4 binary64)) x)
(+ x (* (pow 1/16 1/4) (fabs (- y x))))
(fma.f64 (fabs.f64 (-.f64 y x)) (pow.f64 #s(literal 1/16 binary64) #s(literal 1/4 binary64)) x)
(pow (* 1/2 (fabs (- y x))) 1/4)
(pow.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))) #s(literal 1/4 binary64))
(pow (* 1/2 (fabs (- y x))) 1/4)
(pow.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))) #s(literal 1/4 binary64))
(pow (* 1/2 (fabs (- y x))) 1/4)
(pow.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))) #s(literal 1/4 binary64))
(pow (* 1/2 (fabs (- y x))) 1/4)
(pow.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))) #s(literal 1/4 binary64))
(/ 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 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x)
(+ x (* 1/2 (fabs (- y x))))
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x)
(+ x (* 1/2 (fabs (- y x))))
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x)
(+ x (* 1/2 (fabs (- y x))))
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x)
(* 1/2 (fabs (- y x)))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))
(* 1/2 (fabs (- y x)))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))
(* 1/2 (fabs (- y x)))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))
(* 1/2 (fabs (- y x)))
(*.f64 #s(literal 1/2 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))
(* -1 x)
(neg.f64 x)
(- y x)
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(* -1 (* x (- (* -1/2 (/ (fabs (* -1 (+ y (* -1 x)))) x)) 1)))
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x)
(* -1 (* x (- (* -1/2 (/ (fabs (* -1 (+ y (* -1 x)))) x)) 1)))
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x)
(* -1 (* x (- (* -1/2 (/ (fabs (* -1 (+ y (* -1 x)))) x)) 1)))
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x)
(fabs (* -1 (+ y (* -1 x))))
(fabs.f64 (-.f64 y x))
(fabs (* -1 (+ y (* -1 x))))
(fabs.f64 (-.f64 y x))
(fabs (* -1 (+ y (* -1 x))))
(fabs.f64 (-.f64 y x))
(fabs (* -1 (+ y (* -1 x))))
(fabs.f64 (-.f64 y x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x))))
(*.f64 x x)
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x))))
(fma.f64 (neg.f64 y) y (*.f64 x x))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x))))
(fma.f64 (neg.f64 y) y (*.f64 x x))
(fabs (+ y (* -1 x)))
(fabs.f64 (-.f64 y x))
(fabs (+ y (* -1 x)))
(fabs.f64 (-.f64 y x))
(fabs (+ y (* -1 x)))
(fabs.f64 (-.f64 y x))
(fabs (+ y (* -1 x)))
(fabs.f64 (-.f64 y x))
x
(* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1)))
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x)
(* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1)))
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x)
(* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1)))
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x)
(sqrt (fabs (+ y (* -1 x))))
(sqrt.f64 (fabs.f64 (-.f64 y x)))
(sqrt (fabs (+ y (* -1 x))))
(sqrt.f64 (fabs.f64 (-.f64 y x)))
(sqrt (fabs (+ y (* -1 x))))
(sqrt.f64 (fabs.f64 (-.f64 y x)))
(sqrt (fabs (+ y (* -1 x))))
(sqrt.f64 (fabs.f64 (-.f64 y x)))
(pow (* 1/8 (pow (fabs (+ y (* -1 x))) 3)) 1/4)
(pow.f64 (*.f64 (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 1/4 binary64))
(pow (* 1/8 (pow (fabs (+ y (* -1 x))) 3)) 1/4)
(pow.f64 (*.f64 (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 1/4 binary64))
(pow (* 1/8 (pow (fabs (+ y (* -1 x))) 3)) 1/4)
(pow.f64 (*.f64 (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 1/4 binary64))
(pow (* 1/8 (pow (fabs (+ y (* -1 x))) 3)) 1/4)
(pow.f64 (*.f64 (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 1/4 binary64))
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(/ x y)
(/.f64 x y)
(* -1 (* x (- (/ 1 x) (/ 1 y))))
(/.f64 (-.f64 x y) y)
(* -1 (* x (- (/ 1 x) (/ 1 y))))
(/.f64 (-.f64 x y) y)
(* -1 (* x (- (/ 1 x) (/ 1 y))))
(/.f64 (-.f64 x y) y)

rewrite290.0ms (3.3%)

Memory

33.9MiB live, 190.5MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	39	211
0	67	196
1	246	172
2	1729	172
0	8785	172

Stop Event

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

Counts

22 → 746

Calls

Call 1

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

Outputs
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eval422.0ms (4.8%)

Memory: -20.7MiB live, 417.7MiB allocated
Compiler: Compiled 31 248 to 3 199 computations (89.8% saved)

prune82.0ms (0.9%)

Memory

8.5MiB live, 214.2MiB allocated

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	1 592	5	1 597
Fresh	3	4	7
Picked	3	2	5
Done	0	1	1
Total	1 598	12	1 610

Accuracy

100.0%

Counts

1 610 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.4%	(fma.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 (+.f64 y x))) (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y))) x)
▶	99.4%	(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fabs.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64))))) (sqrt.f64 (fabs.f64 (-.f64 y x)))) #s(literal 1/2 binary64) x)
	52.0%	(fma.f64 (*.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (-.f64 x y))) #s(literal 1/2 binary64) x)
	99.3%	(fma.f64 (*.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64)) (sqrt.f64 (fabs.f64 (-.f64 x y))) x)
	71.1%	(fma.f64 (sqrt.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 y x))) #s(literal -3/2 binary64))) (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))))) x)
▶	53.3%	(fma.f64 (sqrt.f64 (.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))) (fabs.f64 (-.f64 y x)))) (sqrt.f64 #s(literal 1/2 binary64)) x)
▶	28.7%	(fma.f64 (fabs.f64 (/.f64 #s(approx (* (+ y x) (- x y)) (*.f64 x x)) (+.f64 y x))) #s(literal 1/2 binary64) x)
✓	99.9%	(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
▶	57.8%	(fma.f64 (fabs.f64 #s(approx (/ (* (+ y x) (- x y)) (+ y x)) (neg.f64 y))) #s(literal 1/2 binary64) x)
	87.3%	(fma.f64 (fabs.f64 #s(approx (- x y) (fma.f64 (/.f64 (neg.f64 y) x) x x))) #s(literal 1/2 binary64) x)
✓	90.8%	(fma.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y))) #s(literal 1/2 binary64) x)
✓	7.4%	#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64)))

Compiler

Compiled 278 to 204 computations (26.6% saved)

simplify204.0ms (2.3%)

Memory

-22.6MiB live, 144.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))
cost-diff	0	(sqrt.f64 (.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))) (fabs.f64 (-.f64 y x))))
cost-diff	0	(fma.f64 (sqrt.f64 (.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))) (fabs.f64 (-.f64 y x)))) (sqrt.f64 #s(literal 1/2 binary64)) x)
cost-diff	256	(.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))) (fabs.f64 (-.f64 y x)))
cost-diff	0	(+.f64 y x)
cost-diff	0	(fabs.f64 (+.f64 y x))
cost-diff	0	(/.f64 #s(literal 1/2 binary64) (fabs.f64 (+.f64 y x)))
cost-diff	1664	(fma.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 (+.f64 y x))) (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y))) x)
cost-diff	0	#s(approx (* (+ y x) (- x y)) (*.f64 x x))
cost-diff	0	(/.f64 #s(approx (* (+ y x) (- x y)) (*.f64 x x)) (+.f64 y x))
cost-diff	0	(fabs.f64 (/.f64 #s(approx (* (+ y x) (- x y)) (*.f64 x x)) (+.f64 y x)))
cost-diff	0	(fma.f64 (fabs.f64 (/.f64 #s(approx (* (+ y x) (- x y)) (*.f64 x x)) (+.f64 y x))) #s(literal 1/2 binary64) x)
cost-diff	0	(neg.f64 y)
cost-diff	0	#s(approx (/ (* (+ y x) (- x y)) (+ y x)) (neg.f64 y))
cost-diff	0	(fabs.f64 #s(approx (/ (* (+ y x) (- x y)) (+ y x)) (neg.f64 y)))
cost-diff	0	(fma.f64 (fabs.f64 #s(approx (/ (* (+ y x) (- x y)) (+ y x)) (neg.f64 y))) #s(literal 1/2 binary64) x)
cost-diff	0	(/.f64 #s(literal 1 binary64) (sqrt.f64 (fabs.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)))))
cost-diff	0	(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fabs.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64))))) (sqrt.f64 (fabs.f64 (-.f64 y x)))) #s(literal 1/2 binary64) x)
cost-diff	320	(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fabs.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64))))) (sqrt.f64 (fabs.f64 (-.f64 y x))))
cost-diff	5760	(fabs.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	311
0	77	311
1	117	301
2	182	283
3	312	277
4	786	269
5	2148	269
6	5193	269
0	8294	268

Stop Event

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

Calls

Call 1

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

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

localize277.0ms (3.1%)

Memory

2.8MiB live, 201.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(fabs.f64 (-.f64 y x))
accuracy	0.0234375	(.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))) (fabs.f64 (-.f64 y x)))
accuracy	0.40625	(fma.f64 (sqrt.f64 (.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))) (fabs.f64 (-.f64 y x)))) (sqrt.f64 #s(literal 1/2 binary64)) x)
accuracy	29.43345518387545	(sqrt.f64 (.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))) (fabs.f64 (-.f64 y x))))
accuracy	0	(fabs.f64 (+.f64 y x))
accuracy	0.01171875	(/.f64 #s(literal 1/2 binary64) (fabs.f64 (+.f64 y x)))
accuracy	2.261693978450042	(fma.f64 (neg.f64 x) x (*.f64 y y))
accuracy	29.78459408748932	(fma.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 (+.f64 y x))) (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y))) x)
accuracy	0	(fabs.f64 (/.f64 #s(approx (* (+ y x) (- x y)) (*.f64 x x)) (+.f64 y x)))
accuracy	0.05859375	(fma.f64 (fabs.f64 (/.f64 #s(approx (* (+ y x) (- x y)) (*.f64 x x)) (+.f64 y x))) #s(literal 1/2 binary64) x)
accuracy	29.41449354234122	(/.f64 #s(approx (* (+ y x) (- x y)) (*.f64 x x)) (+.f64 y x))
accuracy	29.43737570773318	#s(approx (* (+ y x) (- x y)) (*.f64 x x))
accuracy	0	(neg.f64 y)
accuracy	0	(fabs.f64 #s(approx (/ (* (+ y x) (- x y)) (+ y x)) (neg.f64 y)))
accuracy	0.05859375	(fma.f64 (fabs.f64 #s(approx (/ (* (+ y x) (- x y)) (+ y x)) (neg.f64 y))) #s(literal 1/2 binary64) x)
accuracy	31.957907492438018	#s(approx (/ (* (+ y x) (- x y)) (+ y x)) (neg.f64 y))
accuracy	0.05859375	(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fabs.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64))))) (sqrt.f64 (fabs.f64 (-.f64 y x)))) #s(literal 1/2 binary64) x)
accuracy	0.140625	(sqrt.f64 (fabs.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64))))
accuracy	0.30859375	(/.f64 #s(literal 1 binary64) (sqrt.f64 (fabs.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)))))
accuracy	0.5084762695368841	(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fabs.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64))))) (sqrt.f64 (fabs.f64 (-.f64 y x))))

Samples

86.0ms	234×	0	valid
8.0ms	9×	2	valid
7.0ms	6×	3	valid
4.0ms	7×	1	valid

Compiler

Compiled 296 to 41 computations (86.1% saved)

Precisions

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

ival-fabs: 27.0ms (33.9% of total)

ival-mult: 17.0ms (21.3% of total)

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

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

ival-div: 6.0ms (7.5% of total)

ival-pow: 5.0ms (6.3% of total)

adjust: 3.0ms (3.8% of total)

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

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

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

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

exact: 0.0ms (0% of total)

series50.0ms (0.6%)

Memory

-12.3MiB live, 107.1MiB allocated

Counts

23 → 540

Calls

Call 1

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

Outputs
#s(alt (fabs (/ 1 (- x y))) (taylor 0 y) (#s(alt (fabs.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64))) (patch (fabs.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ 1 (- x y))) (taylor 0 y) (#s(alt (fabs.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64))) (patch (fabs.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
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Calls

6 calls:

Time	Variable		Point	Expression
8.0ms	y	@	-inf	((fabs (pow (- x y) -1)) (* (/ 1 (sqrt (fabs (pow (- x y) -1)))) (sqrt (fabs (- y x)))) (+ (* (* (/ 1 (sqrt (fabs (pow (- x y) -1)))) (sqrt (fabs (- y x)))) 1/2) x) (/ 1 (sqrt (fabs (pow (- x y) -1)))) (+ (* (fabs (/ (* (+ y x) (- x y)) (+ y x))) 1/2) x) (fabs (/ (* (+ y x) (- x y)) (+ y x))) (/ (* (+ y x) (- x y)) (+ y x)) (neg y) (+ (* (fabs (/ (* (+ y x) (- x y)) (+ y x))) 1/2) x) (fabs (/ (* (+ y x) (- x y)) (+ y x))) (/ (* (+ y x) (- x y)) (+ y x)) (* (+ y x) (- x y)) (+ (* (/ 1/2 (fabs (+ y x))) (fabs (+ (* (neg x) x) (* y y)))) x) (/ 1/2 (fabs (+ y x))) (fabs (+ y x)) (+ y x) (* (* 1/2 (fabs (- y x))) (fabs (- y x))) (+ (* (sqrt (* (* 1/2 (fabs (- y x))) (fabs (- y x)))) (sqrt 1/2)) x) (sqrt (* (* 1/2 (fabs (- y x))) (fabs (- y x)))) (* 1/2 (fabs (- y x))) (sqrt (fabs (pow (- x y) -1))) (+ (* (neg x) x) (* y y)) (fabs (- y x)))
7.0ms	x	@	-inf	((fabs (pow (- x y) -1)) (* (/ 1 (sqrt (fabs (pow (- x y) -1)))) (sqrt (fabs (- y x)))) (+ (* (* (/ 1 (sqrt (fabs (pow (- x y) -1)))) (sqrt (fabs (- y x)))) 1/2) x) (/ 1 (sqrt (fabs (pow (- x y) -1)))) (+ (* (fabs (/ (* (+ y x) (- x y)) (+ y x))) 1/2) x) (fabs (/ (* (+ y x) (- x y)) (+ y x))) (/ (* (+ y x) (- x y)) (+ y x)) (neg y) (+ (* (fabs (/ (* (+ y x) (- x y)) (+ y x))) 1/2) x) (fabs (/ (* (+ y x) (- x y)) (+ y x))) (/ (* (+ y x) (- x y)) (+ y x)) (* (+ y x) (- x y)) (+ (* (/ 1/2 (fabs (+ y x))) (fabs (+ (* (neg x) x) (* y y)))) x) (/ 1/2 (fabs (+ y x))) (fabs (+ y x)) (+ y x) (* (* 1/2 (fabs (- y x))) (fabs (- y x))) (+ (* (sqrt (* (* 1/2 (fabs (- y x))) (fabs (- y x)))) (sqrt 1/2)) x) (sqrt (* (* 1/2 (fabs (- y x))) (fabs (- y x)))) (* 1/2 (fabs (- y x))) (sqrt (fabs (pow (- x y) -1))) (+ (* (neg x) x) (* y y)) (fabs (- y x)))
5.0ms	y	@	inf	((fabs (pow (- x y) -1)) (* (/ 1 (sqrt (fabs (pow (- x y) -1)))) (sqrt (fabs (- y x)))) (+ (* (* (/ 1 (sqrt (fabs (pow (- x y) -1)))) (sqrt (fabs (- y x)))) 1/2) x) (/ 1 (sqrt (fabs (pow (- x y) -1)))) (+ (* (fabs (/ (* (+ y x) (- x y)) (+ y x))) 1/2) x) (fabs (/ (* (+ y x) (- x y)) (+ y x))) (/ (* (+ y x) (- x y)) (+ y x)) (neg y) (+ (* (fabs (/ (* (+ y x) (- x y)) (+ y x))) 1/2) x) (fabs (/ (* (+ y x) (- x y)) (+ y x))) (/ (* (+ y x) (- x y)) (+ y x)) (* (+ y x) (- x y)) (+ (* (/ 1/2 (fabs (+ y x))) (fabs (+ (* (neg x) x) (* y y)))) x) (/ 1/2 (fabs (+ y x))) (fabs (+ y x)) (+ y x) (* (* 1/2 (fabs (- y x))) (fabs (- y x))) (+ (* (sqrt (* (* 1/2 (fabs (- y x))) (fabs (- y x)))) (sqrt 1/2)) x) (sqrt (* (* 1/2 (fabs (- y x))) (fabs (- y x)))) (* 1/2 (fabs (- y x))) (sqrt (fabs (pow (- x y) -1))) (+ (* (neg x) x) (* y y)) (fabs (- y x)))
4.0ms	y	@	0	((fabs (pow (- x y) -1)) (* (/ 1 (sqrt (fabs (pow (- x y) -1)))) (sqrt (fabs (- y x)))) (+ (* (* (/ 1 (sqrt (fabs (pow (- x y) -1)))) (sqrt (fabs (- y x)))) 1/2) x) (/ 1 (sqrt (fabs (pow (- x y) -1)))) (+ (* (fabs (/ (* (+ y x) (- x y)) (+ y x))) 1/2) x) (fabs (/ (* (+ y x) (- x y)) (+ y x))) (/ (* (+ y x) (- x y)) (+ y x)) (neg y) (+ (* (fabs (/ (* (+ y x) (- x y)) (+ y x))) 1/2) x) (fabs (/ (* (+ y x) (- x y)) (+ y x))) (/ (* (+ y x) (- x y)) (+ y x)) (* (+ y x) (- x y)) (+ (* (/ 1/2 (fabs (+ y x))) (fabs (+ (* (neg x) x) (* y y)))) x) (/ 1/2 (fabs (+ y x))) (fabs (+ y x)) (+ y x) (* (* 1/2 (fabs (- y x))) (fabs (- y x))) (+ (* (sqrt (* (* 1/2 (fabs (- y x))) (fabs (- y x)))) (sqrt 1/2)) x) (sqrt (* (* 1/2 (fabs (- y x))) (fabs (- y x)))) (* 1/2 (fabs (- y x))) (sqrt (fabs (pow (- x y) -1))) (+ (* (neg x) x) (* y y)) (fabs (- y x)))
4.0ms	x	@	inf	((fabs (pow (- x y) -1)) (* (/ 1 (sqrt (fabs (pow (- x y) -1)))) (sqrt (fabs (- y x)))) (+ (* (* (/ 1 (sqrt (fabs (pow (- x y) -1)))) (sqrt (fabs (- y x)))) 1/2) x) (/ 1 (sqrt (fabs (pow (- x y) -1)))) (+ (* (fabs (/ (* (+ y x) (- x y)) (+ y x))) 1/2) x) (fabs (/ (* (+ y x) (- x y)) (+ y x))) (/ (* (+ y x) (- x y)) (+ y x)) (neg y) (+ (* (fabs (/ (* (+ y x) (- x y)) (+ y x))) 1/2) x) (fabs (/ (* (+ y x) (- x y)) (+ y x))) (/ (* (+ y x) (- x y)) (+ y x)) (* (+ y x) (- x y)) (+ (* (/ 1/2 (fabs (+ y x))) (fabs (+ (* (neg x) x) (* y y)))) x) (/ 1/2 (fabs (+ y x))) (fabs (+ y x)) (+ y x) (* (* 1/2 (fabs (- y x))) (fabs (- y x))) (+ (* (sqrt (* (* 1/2 (fabs (- y x))) (fabs (- y x)))) (sqrt 1/2)) x) (sqrt (* (* 1/2 (fabs (- y x))) (fabs (- y x)))) (* 1/2 (fabs (- y x))) (sqrt (fabs (pow (- x y) -1))) (+ (* (neg x) x) (* y y)) (fabs (- y x)))

simplify159.0ms (1.8%)

Memory

28.4MiB live, 186.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	208	4717
1	558	4561
2	1367	3661
3	5882	3121
0	8624	3016

Stop Event

1×	iter limit
1×	node limit

Counts

540 → 518

Calls

Call 1

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

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

rewrite243.0ms (2.7%)

Memory

-28.6MiB live, 227.2MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	41	250
0	77	265
1	257	216
2	1735	162
0	8570	162

Stop Event

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

Counts

23 → 1 055

Calls

Call 1

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

Outputs
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eval1.2s (13.2%)

Memory: 38.1MiB live, 653.6MiB allocated
Compiler: Compiled 45 757 to 4 928 computations (89.2% saved)

prune138.0ms (1.6%)

Memory

-20.4MiB live, 175.5MiB allocated

Pruning

12 alts after pruning (7 fresh and 5 done)

	Pruned	Kept	Total
New	2 034	6	2 040
Fresh	3	1	4
Picked	3	2	5
Done	0	3	3
Total	2 040	12	2 052

Accuracy

100.0%

Counts

2 052 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	53.4%	(fma.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 (+.f64 y x))) (fabs.f64 (*.f64 (+.f64 y x) (-.f64 y x))) x)
	28.7%	(fma.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 (+.f64 y x))) (fabs.f64 #s(approx (+ (* (neg x) x) (* y y)) (*.f64 (neg.f64 x) x))) x)
	56.8%	(fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x)
	52.1%	(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)))) (sqrt.f64 (fabs.f64 (-.f64 y x)))) #s(literal 1/2 binary64) x)
	56.4%	(fma.f64 (*.f64 (-.f64 x y) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) x)
	52.1%	(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (-.f64 x y))) (sqrt.f64 (-.f64 x y)) x)
✓	28.7%	(fma.f64 (fabs.f64 (/.f64 #s(approx (* (+ y x) (- x y)) (*.f64 x x)) (+.f64 y x))) #s(literal 1/2 binary64) x)
✓	99.9%	(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
✓	57.8%	(fma.f64 (fabs.f64 #s(approx (/ (* (+ y x) (- x y)) (+ y x)) (neg.f64 y))) #s(literal 1/2 binary64) x)
	87.3%	(fma.f64 (fabs.f64 #s(approx (- x y) (fma.f64 (/.f64 (neg.f64 y) x) x x))) #s(literal 1/2 binary64) x)
✓	90.8%	(fma.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y))) #s(literal 1/2 binary64) x)
✓	7.4%	#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64)))

Compiler

Compiled 593 to 243 computations (59% saved)

regimes31.0ms (0.4%)

Memory

15.7MiB live, 57.3MiB allocated

Counts

33 → 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)))
(fma.f64 (-.f64 x 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)))
(fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x)
(fma.f64 (fabs.f64 #s(approx (/ (* (+ y x) (- x y)) (+ y x)) (neg.f64 y))) #s(literal 1/2 binary64) x)
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
(fma.f64 (fabs.f64 #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) (fma.f64 (/.f64 (neg.f64 y) x) x x))) #s(literal 1/2 binary64) x)
(fma.f64 (fabs.f64 (/.f64 #s(approx (* (+ y x) (- x y)) (*.f64 x x)) (+.f64 y x))) #s(literal 1/2 binary64) x)
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y)))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 (+.f64 y x))) (fabs.f64 #s(approx (+ (* (neg x) x) (* y y)) (*.f64 (neg.f64 x) x))) x)
(fma.f64 (fabs.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (+.f64 y x))) #s(literal 1/2 binary64) x)
(fma.f64 (*.f64 (-.f64 x y) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) x)
(fma.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 (+.f64 y x))) (fabs.f64 (*.f64 (+.f64 y x) (-.f64 y x))) x)
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (-.f64 x y))) (sqrt.f64 (-.f64 x y)) x)
(fma.f64 (*.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (-.f64 x y))) #s(literal 1/2 binary64) x)
(fma.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 (+.f64 y x))) (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y))) x)
(+.f64 x (/.f64 (.f64 (fabs.f64 (fma.f64 (neg.f64 x) x (.f64 y y))) #s(literal 1/2 binary64)) (fabs.f64 (+.f64 x y))))
(fma.f64 (*.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64)) (sqrt.f64 (fabs.f64 (-.f64 x y))) x)
(fma.f64 (*.f64 (sqrt.f64 (fabs.f64 (-.f64 y x))) (sqrt.f64 (fabs.f64 (-.f64 y x)))) #s(literal 1/2 binary64) x)
(fma.f64 (sqrt.f64 (.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))) #s(literal 1/2 binary64))) (sqrt.f64 (fabs.f64 (-.f64 y x))) x)
(fma.f64 (sqrt.f64 (.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))) (fabs.f64 (-.f64 y x)))) (sqrt.f64 #s(literal 1/2 binary64)) x)
(+.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 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)))) (sqrt.f64 (fabs.f64 (-.f64 y x)))) #s(literal 1/2 binary64) x)
(+.f64 x (/.f64 (fabs.f64 (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)))))) #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))
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fabs.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64))))) (sqrt.f64 (fabs.f64 (-.f64 y x)))) #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)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 y x))))) x)
(fma.f64 (sqrt.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 y x))) #s(literal -3/2 binary64))) (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))))) 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 (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 y x))) #s(literal -1/4 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))) #s(literal 3/4 binary64)) x)
(fma.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)) x)

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

Calls

3 calls:

11.0ms	y
9.0ms	(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
9.0ms	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)

regimes10.0ms (0.1%)

Memory

-16.5MiB live, 21.8MiB allocated

Counts

5 → 2

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

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

Calls

3 calls:

4.0ms	x
3.0ms	(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
2.0ms	y

Results

Accuracy	Segments	Branch
74.8%	2	`x`
73.4%	2	`y`
61.3%	3	`(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))`

Compiler

Compiled 10 to 11 computations (-10% saved)

regimes4.0ms (0%)

Memory

10.8MiB live, 10.8MiB allocated

Counts

3 → 2

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)))

(fma.f64 (-.f64 x 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)))

Outputs
(fma.f64 (-.f64 x 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)))

Calls

2 calls:

2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
72.3%	2	`y`
70.4%	2	`x`

Compiler

Compiled 2 to 4 computations (-100% saved)

regimes6.0ms (0.1%)

Memory

21.9MiB live, 21.9MiB 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)))
(fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x)

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
56.8%	1	`(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))`
56.8%	1	`x`
56.8%	1	`y`

Compiler

Compiled 10 to 11 computations (-10% saved)

regimes6.0ms (0.1%)

Memory

-14.5MiB live, 23.0MiB 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:

3.0ms	(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
7.4%	1	`x`
7.4%	1	`(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))`
7.4%	1	`y`

Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch14.0ms (0.2%)

Memory

-8.3MiB live, 29.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	2.5621544706892387e-70	4.060838138734146e-66

Samples

6.0ms	124×	0	valid
0.0ms	3×	1	valid
0.0ms	1×	2	valid

Compiler

Compiled 115 to 124 computations (-7.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-div: 1.0ms (29.6% of total)

ival-sub: 1.0ms (29.6% of total)

ival-add: 1.0ms (29.6% of total)

ival-fabs: 1.0ms (29.6% 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)

bsearch16.0ms (0.2%)

Memory

-13.6MiB live, 31.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	2.4484074756839416e-41	1.5002608051334514e-35

Samples

6.0ms	140×	0	valid
0.0ms	2×	2	valid
0.0ms	1×	3	valid
0.0ms	1×	1	valid

Compiler

Compiled 128 to 138 computations (-7.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-div: 1.0ms (26.7% of total)

ival-sub: 1.0ms (26.7% of total)

ival-fabs: 1.0ms (26.7% of total)

ival-add: 1.0ms (26.7% 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)

simplify24.0ms (0.3%)

Memory

38.2MiB live, 77.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	76
1	43	76
2	49	76
3	51	76

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
(if (<=.f64 x #s(literal 7964942458125489/1942668892225729070919461906823518906642406839052139521251812409738904285205208498176 binary64)) (fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x) (fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x))
(if (<=.f64 y #s(literal 2746232009231673/98079714615416886934934209737619787751599303819750539264 binary64)) (fma.f64 (-.f64 x 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))))
(fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x)
#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)
(if (<=.f64 x #s(literal 7964942458125489/1942668892225729070919461906823518906642406839052139521251812409738904285205208498176 binary64)) (fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x) (fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x))
(if (<=.f64 y #s(literal 2746232009231673/98079714615416886934934209737619787751599303819750539264 binary64)) (fma.f64 (-.f64 x 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))))
(fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x)
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64)))

soundness1.0s (11.3%)

Memory

-34.8MiB live, 702.7MiB allocated

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	401	5693
1	1110	5626
2	3212	5581
0	8203	5364
0	7	21
0	11	21
1	51	21
2	380	21
3	5345	21
0	8350	20
0	35	250
0	65	218
1	269	218
2	2030	218
0	8474	217
0	41	250
0	77	265
1	257	216
2	1735	162
0	8570	162
0	39	211
0	67	196
1	246	172
2	1729	172
0	8785	172

Stop Event

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

Compiler

Compiled 252 to 142 computations (43.7% saved)

preprocess103.0ms (1.2%)

Memory: -9.2MiB live, 109.2MiB allocated
Compiler: Compiled 124 to 64 computations (48.4% 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%)

sample1.5s (17.2%)

explain82.0ms (0.9%)

preprocess70.0ms (0.8%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify13.0ms (0.1%)

localize20.0ms (0.2%)

series31.0ms (0.3%)

simplify137.0ms (1.5%)

rewrite152.0ms (1.7%)

eval47.0ms (0.5%)

prune20.0ms (0.2%)

simplify138.0ms (1.6%)

localize140.0ms (1.6%)

series53.0ms (0.6%)

simplify172.0ms (1.9%)

rewrite235.0ms (2.7%)

eval443.0ms (5%)

prune255.0ms (2.9%)

simplify169.0ms (1.9%)

localize172.0ms (1.9%)

series508.0ms (5.7%)

simplify233.0ms (2.6%)

rewrite290.0ms (3.3%)

eval422.0ms (4.8%)

prune82.0ms (0.9%)

simplify204.0ms (2.3%)

localize277.0ms (3.1%)

series50.0ms (0.6%)

simplify159.0ms (1.8%)

rewrite243.0ms (2.7%)

eval1.2s (13.2%)

prune138.0ms (1.6%)

regimes31.0ms (0.4%)

regimes10.0ms (0.1%)

regimes4.0ms (0%)

regimes6.0ms (0.1%)

regimes6.0ms (0.1%)

bsearch14.0ms (0.2%)

bsearch16.0ms (0.2%)

simplify24.0ms (0.3%)

soundness1.0s (11.3%)

preprocess103.0ms (1.2%)

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