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

0.6MiB live, 0.6MiB 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)

sample745.0ms (10.7%)

Memory

9.0MiB live, 955.3MiB allocated

Samples

438.0ms	7 935×	0	valid
15.0ms	84×	3	valid
14.0ms	78×	2	valid
14.0ms	159×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 257.0ms

ival-div: 63.0ms (24.5% of total)

ival-sub: 60.0ms (23.4% of total)

ival-add: 58.0ms (22.6% of total)

ival-fabs: 54.0ms (21% of total)

adjust: 9.0ms (3.5% of total)

ival-true: 5.0ms (1.9% of total)

exact: 5.0ms (1.9% of total)

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

Bogosity

explain87.0ms (1.2%)

Memory

2.5MiB live, 83.9MiB 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

25.0ms	494×	0	valid
2.0ms	10×	2	valid
1.0ms	6×	1	valid
0.0ms	2×	3	valid

Compiler

Compiled 84 to 32 computations (61.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-div: 3.0ms (22.2% of total)

ival-sub: 3.0ms (22.2% of total)

ival-fabs: 3.0ms (22.2% of total)

ival-add: 2.0ms (14.8% of total)

adjust: 1.0ms (7.4% of total)

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

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

exact: 0.0ms (0% of total)

preprocess39.0ms (0.6%)

Memory

-11.9MiB live, 26.5MiB 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
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x)

Compiler

Compiled 8 to 7 computations (12.5% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 8 to 7 computations (12.5% saved)

simplify13.0ms (0.2%)

Memory

9.6MiB live, 9.6MiB 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
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x)
x
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)))
(fabs.f64 (-.f64 x y))
(-.f64 y x)
y
#s(literal 2 binary64)

localize45.0ms (0.6%)

Memory

-15.5MiB live, 22.5MiB 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	0.05078125	(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))

Samples

36.0ms	247×	0	valid
2.0ms	5×	2	valid
0.0ms	3×	1	valid
0.0ms	1×	3	valid

Compiler

Compiled 50 to 16 computations (68% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-fabs: 25.0ms (82.7% of total)

ival-div: 2.0ms (6.6% of total)

ival-sub: 2.0ms (6.6% of total)

ival-add: 1.0ms (3.3% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory

6.9MiB live, 6.9MiB allocated

Counts

4 → 96

Calls

Call 1

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

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

Calls

6 calls:

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

simplify165.0ms (2.4%)

Memory

-4.3MiB live, 73.6MiB 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	2404	479
5	3199	479
6	4230	479
7	5081	479
8	5654	479
9	6142	479
10	7844	479
0	8331	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
(*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))
(*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))
(*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))
(*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)
(fabs.f64 (-.f64 y x))
(fabs.f64 (-.f64 y x))
(fabs.f64 (-.f64 y x))
(fabs.f64 (-.f64 y x))
(neg.f64 x)
(-.f64 y x)
(-.f64 y x)
(-.f64 y x)
(*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))
(*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))
(*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))
(*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)
(fabs.f64 (-.f64 y x))
(fabs.f64 (-.f64 y x))
(fabs.f64 (-.f64 y x))
(fabs.f64 (-.f64 y x))
y
(-.f64 y x)
(-.f64 y x)
(-.f64 y x)
(*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))
(*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))
(*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))
(*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)
(fabs.f64 (-.f64 y x))
(fabs.f64 (-.f64 y x))
(fabs.f64 (-.f64 y x))
(fabs.f64 (-.f64 y x))
y
(-.f64 y x)
(-.f64 y x)
(-.f64 y x)
(*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))
(*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))
(*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))
(*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))
(*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)
(fabs.f64 (-.f64 y x))
(fabs.f64 (-.f64 y x))
(fabs.f64 (-.f64 y x))
(fabs.f64 (-.f64 y x))
y
(-.f64 y x)
(-.f64 y x)
(-.f64 y x)
(*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))
(*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))
(*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))
(*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))
x
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)
(fabs.f64 (-.f64 y x))
(fabs.f64 (-.f64 y x))
(fabs.f64 (-.f64 y x))
(fabs.f64 (-.f64 y x))
(neg.f64 x)
(-.f64 y x)
(-.f64 y x)
(-.f64 y x)
(*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))
(*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))
(*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))
(*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))
x
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)
(fabs.f64 (-.f64 y x))
(fabs.f64 (-.f64 y x))
(fabs.f64 (-.f64 y x))
(fabs.f64 (-.f64 y x))
(neg.f64 x)
(-.f64 y x)
(-.f64 y x)
(-.f64 y x)

rewrite190.0ms (2.7%)

Memory

27.7MiB live, 147.4MiB 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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eval67.0ms (1%)

Memory: -11.7MiB live, 61.8MiB allocated
Compiler: Compiled 6 645 to 932 computations (86% saved)

prune26.0ms (0.4%)

Memory

-5.7MiB live, 33.1MiB allocated

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	320	10	330
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	321	10	331

Accuracy

100.0%

Counts

331 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.3%	(fma.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64)) x)
▶	99.9%	(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
	48.7%	(/.f64 (fma.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal -1/4 binary64) (*.f64 x x)) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x))
▶	99.7%	(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x) #s(literal -1 binary64)))
▶	48.7%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (*.f64 (neg.f64 x) x))))
	99.4%	(+.f64 x (pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
	50.5%	(+.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)))
▶	50.6%	(+.f64 x (/.f64 (.f64 (fabs.f64 (fma.f64 (neg.f64 x) x (.f64 y y))) #s(literal 1/2 binary64)) (fabs.f64 (+.f64 x y))))
	99.7%	(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y)))))
▶	55.6%	#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)))

Compiler

Compiled 298 to 216 computations (27.5% saved)

simplify195.0ms (2.8%)

Memory

-1.9MiB live, 117.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(fabs.f64 (-.f64 x y))
cost-diff	0	(fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x))
cost-diff	256	(/.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (*.f64 (neg.f64 x) x)))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (*.f64 (neg.f64 x) x))))
cost-diff	0	(fabs.f64 (-.f64 x y))
cost-diff	0	(fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x)
cost-diff	0	(pow.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x) #s(literal -1 binary64))
cost-diff	7168	(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x) #s(literal -1 binary64)))
cost-diff	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	0	(/.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	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	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: 0 (0.0ms)

Iter	Nodes	Cost
0	36	244
0	63	240
1	93	240
2	139	238
3	307	238
4	1043	238
5	3988	238
0	8271	233

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

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

localize202.0ms (2.9%)

Memory

11.1MiB live, 136.0MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.02734375	(fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x))
accuracy	0.1875	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (*.f64 (neg.f64 x) x))))
accuracy	16.328007342321758	(fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (*.f64 (neg.f64 x) x))
accuracy	31.55822689625422	(/.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (*.f64 (neg.f64 x) x)))
accuracy	0	(fabs.f64 (-.f64 x y))
accuracy	0.05078125	(fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x)
accuracy	0.05859375	(pow.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x) #s(literal -1 binary64))
accuracy	0.1875	(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x) #s(literal -1 binary64)))
accuracy	0.0078125	(.f64 (fabs.f64 (fma.f64 (neg.f64 x) x (.f64 y y))) #s(literal 1/2 binary64))
accuracy	0.05078125	(+.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	2.503878726055602	(fma.f64 (neg.f64 x) x (*.f64 y y))
accuracy	31.51230664528685	(/.f64 (.f64 (fabs.f64 (fma.f64 (neg.f64 x) x (.f64 y y))) #s(literal 1/2 binary64)) (fabs.f64 (+.f64 x y)))
accuracy	0	(-.f64 y x)
accuracy	0	(*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))
accuracy	0	(fabs.f64 (-.f64 y x))
accuracy	28.3989921561399	#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	0.05078125	(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)

Samples

87.0ms	229×	0	valid
33.0ms	8×	3	valid
7.0ms	10×	2	valid
4.0ms	9×	1	valid

Compiler

Compiled 498 to 75 computations (84.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 95.0ms

adjust: 29.0ms (30.5% of total)

ival-fabs: 24.0ms (25.2% of total)

ival-add: 11.0ms (11.6% of total)

ival-mult: 11.0ms (11.6% of total)

ival-div: 9.0ms (9.5% of total)

ival-pow: 4.0ms (4.2% of total)

ival-pow2: 3.0ms (3.2% of total)

ival-sub: 3.0ms (3.2% of total)

exact: 1.0ms (1.1% of total)

ival-neg: 1.0ms (1.1% of total)

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

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

series67.0ms (1%)

Memory

7.0MiB live, 83.5MiB allocated

Counts

19 → 456

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
18.0ms	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) (+ x (/ (* (fabs (+ (* (neg x) x) (* y y))) 1/2) (fabs (+ x y)))) (/ (* (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))) (/ 1 (pow (+ (* 1/2 (fabs (- x y))) x) -1)) (pow (+ (* 1/2 (fabs (- x y))) x) -1) (+ (* 1/2 (fabs (- x y))) x) (/ 1 (/ (+ (* 1/2 (fabs (- x y))) (neg x)) (+ (* 1/4 (pow (- x y) 2)) (* (neg x) x)))) (/ (+ (* 1/2 (fabs (- x y))) (neg x)) (+ (* 1/4 (pow (- x y) 2)) (* (neg x) x))) (+ (* 1/2 (fabs (- x y))) (neg x)) (+ (* (neg x) x) (* y y)) (+ (* 1/4 (pow (- x y) 2)) (* (neg x) x)))
11.0ms	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) (+ x (/ (* (fabs (+ (* (neg x) x) (* y y))) 1/2) (fabs (+ x y)))) (/ (* (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))) (/ 1 (pow (+ (* 1/2 (fabs (- x y))) x) -1)) (pow (+ (* 1/2 (fabs (- x y))) x) -1) (+ (* 1/2 (fabs (- x y))) x) (/ 1 (/ (+ (* 1/2 (fabs (- x y))) (neg x)) (+ (* 1/4 (pow (- x y) 2)) (* (neg x) x)))) (/ (+ (* 1/2 (fabs (- x y))) (neg x)) (+ (* 1/4 (pow (- x y) 2)) (* (neg x) x))) (+ (* 1/2 (fabs (- x y))) (neg x)) (+ (* (neg x) x) (* y y)) (+ (* 1/4 (pow (- x y) 2)) (* (neg x) x)))
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) (+ x (/ (* (fabs (+ (* (neg x) x) (* y y))) 1/2) (fabs (+ x y)))) (/ (* (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))) (/ 1 (pow (+ (* 1/2 (fabs (- x y))) x) -1)) (pow (+ (* 1/2 (fabs (- x y))) x) -1) (+ (* 1/2 (fabs (- x y))) x) (/ 1 (/ (+ (* 1/2 (fabs (- x y))) (neg x)) (+ (* 1/4 (pow (- x y) 2)) (* (neg x) x)))) (/ (+ (* 1/2 (fabs (- x y))) (neg x)) (+ (* 1/4 (pow (- x y) 2)) (* (neg x) x))) (+ (* 1/2 (fabs (- x y))) (neg x)) (+ (* (neg x) x) (* y y)) (+ (* 1/4 (pow (- x y) 2)) (* (neg x) x)))
6.0ms	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) (+ x (/ (* (fabs (+ (* (neg x) x) (* y y))) 1/2) (fabs (+ x y)))) (/ (* (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))) (/ 1 (pow (+ (* 1/2 (fabs (- x y))) x) -1)) (pow (+ (* 1/2 (fabs (- x y))) x) -1) (+ (* 1/2 (fabs (- x y))) x) (/ 1 (/ (+ (* 1/2 (fabs (- x y))) (neg x)) (+ (* 1/4 (pow (- x y) 2)) (* (neg x) x)))) (/ (+ (* 1/2 (fabs (- x y))) (neg x)) (+ (* 1/4 (pow (- x y) 2)) (* (neg x) x))) (+ (* 1/2 (fabs (- x y))) (neg x)) (+ (* (neg x) x) (* y y)) (+ (* 1/4 (pow (- x y) 2)) (* (neg x) x)))
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) (+ x (/ (* (fabs (+ (* (neg x) x) (* y y))) 1/2) (fabs (+ x y)))) (/ (* (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))) (/ 1 (pow (+ (* 1/2 (fabs (- x y))) x) -1)) (pow (+ (* 1/2 (fabs (- x y))) x) -1) (+ (* 1/2 (fabs (- x y))) x) (/ 1 (/ (+ (* 1/2 (fabs (- x y))) (neg x)) (+ (* 1/4 (pow (- x y) 2)) (* (neg x) x)))) (/ (+ (* 1/2 (fabs (- x y))) (neg x)) (+ (* 1/4 (pow (- x y) 2)) (* (neg x) x))) (+ (* 1/2 (fabs (- x y))) (neg x)) (+ (* (neg x) x) (* y y)) (+ (* 1/4 (pow (- x y) 2)) (* (neg x) x)))

simplify222.0ms (3.2%)

Memory

-6.3MiB live, 198.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	626	5991
1	1946	5831
2	5752	5781
0	8096	5514

Stop Event

1×	iter limit
1×	node limit

Counts

456 → 440

Calls

Call 1

Inputs
(+ x (* 1/2 (fabs (- x y))))
(+ x (* 1/2 (fabs (- x y))))
(+ x (* 1/2 (fabs (- x y))))
(+ x (* 1/2 (fabs (- x y))))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
x
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* 1/2 (fabs (- y x))))
(+ x (* 1/2 (fabs (- y x))))
(+ x (* 1/2 (fabs (- y x))))
(+ x (* 1/2 (fabs (- y x))))
(* 1/2 (fabs (- y x)))
(* 1/2 (fabs (- y x)))
(* 1/2 (fabs (- y x)))
(* 1/2 (fabs (- y x)))
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
(* -1 x)
(- y x)
(- y x)
(- y x)
(+ x (* 1/2 (/ (fabs (+ (* -1 (pow x 2)) (pow y 2))) (fabs (+ x y)))))
(+ x (* 1/2 (/ (fabs (+ (* -1 (pow x 2)) (pow y 2))) (fabs (+ x y)))))
(+ x (* 1/2 (/ (fabs (+ (* -1 (pow x 2)) (pow y 2))) (fabs (+ x y)))))
(+ x (* 1/2 (/ (fabs (+ (* -1 (pow x 2)) (pow y 2))) (fabs (+ x y)))))
(* 1/2 (/ (fabs (+ (* -1 (pow x 2)) (pow y 2))) (fabs (+ x y))))
(* 1/2 (/ (fabs (+ (* -1 (pow x 2)) (pow y 2))) (fabs (+ x y))))
(* 1/2 (/ (fabs (+ (* -1 (pow x 2)) (pow y 2))) (fabs (+ x y))))
(* 1/2 (/ (fabs (+ (* -1 (pow x 2)) (pow y 2))) (fabs (+ x y))))
(* 1/2 (fabs (+ (* -1 (pow x 2)) (pow y 2))))
(* 1/2 (fabs (+ (* -1 (pow x 2)) (pow y 2))))
(* 1/2 (fabs (+ (* -1 (pow x 2)) (pow y 2))))
(* 1/2 (fabs (+ (* -1 (pow x 2)) (pow y 2))))
(fabs (+ (* -1 (pow x 2)) (pow y 2)))
(fabs (+ (* -1 (pow x 2)) (pow y 2)))
(fabs (+ (* -1 (pow x 2)) (pow y 2)))
(fabs (+ (* -1 (pow x 2)) (pow y 2)))
(+ x (* 1/2 (fabs (- x y))))
(+ x (* 1/2 (fabs (- x y))))
(+ x (* 1/2 (fabs (- x y))))
(+ x (* 1/2 (fabs (- x y))))
(/ 1 (+ x (* 1/2 (fabs (- x y)))))
(/ 1 (+ x (* 1/2 (fabs (- x y)))))
(/ 1 (+ x (* 1/2 (fabs (- x y)))))
(/ 1 (+ x (* 1/2 (fabs (- x y)))))
(+ x (* 1/2 (fabs (- x y))))
(+ x (* 1/2 (fabs (- x y))))
(+ x (* 1/2 (fabs (- x y))))
(+ x (* 1/2 (fabs (- x y))))
(/ (+ (* -1 (pow x 2)) (* 1/4 (pow x 2))) (- (* 1/2 (fabs (- x y))) x))
(+ (* -1 (/ (pow x 2) (- (* 1/2 (fabs (- x y))) x))) (+ (* -1/2 (/ (* x y) (- (* 1/2 (fabs (- x y))) x))) (* 1/4 (/ (pow x 2) (- (* 1/2 (fabs (- x y))) x)))))
(+ (* -1 (/ (pow x 2) (- (* 1/2 (fabs (- x y))) x))) (+ (* 1/4 (/ (pow x 2) (- (* 1/2 (fabs (- x y))) x))) (* y (+ (* -1/2 (/ x (- (* 1/2 (fabs (- x y))) x))) (* 1/4 (/ y (- (* 1/2 (fabs (- x y))) x)))))))
(+ (* -1 (/ (pow x 2) (- (* 1/2 (fabs (- x y))) x))) (+ (* 1/4 (/ (pow x 2) (- (* 1/2 (fabs (- x y))) x))) (* y (+ (* -1/2 (/ x (- (* 1/2 (fabs (- x y))) x))) (* 1/4 (/ y (- (* 1/2 (fabs (- x y))) x)))))))
(/ (- (* 1/2 (fabs (- x y))) x) (+ (* -1 (pow x 2)) (* 1/4 (pow x 2))))
(- (+ (* 1/2 (/ (fabs (- x y)) (+ (* -1 (pow x 2)) (* 1/4 (pow x 2))))) (* 1/2 (/ (* x (* y (- (* 1/2 (fabs (- x y))) x))) (pow (+ (* -1 (pow x 2)) (* 1/4 (pow x 2))) 2)))) (/ x (+ (* -1 (pow x 2)) (* 1/4 (pow x 2)))))
(- (+ (* 1/2 (/ (fabs (- x y)) (+ (* -1 (pow x 2)) (* 1/4 (pow x 2))))) (* y (- (* -1 (* y (+ (* -1/4 (/ (* (pow x 2) (- (* 1/2 (fabs (- x y))) x)) (pow (+ (* -1 (pow x 2)) (* 1/4 (pow x 2))) 3))) (* 1/4 (/ (- (* 1/2 (fabs (- x y))) x) (pow (+ (* -1 (pow x 2)) (* 1/4 (pow x 2))) 2)))))) (* -1/2 (/ (* x (- (* 1/2 (fabs (- x y))) x)) (pow (+ (* -1 (pow x 2)) (* 1/4 (pow x 2))) 2)))))) (/ x (+ (* -1 (pow x 2)) (* 1/4 (pow x 2)))))
(- (+ (* 1/2 (/ (fabs (- x y)) (+ (* -1 (pow x 2)) (* 1/4 (pow x 2))))) (* y (- (* y (- (* -1 (* y (+ (* 1/8 (/ (* x (- (* 1/2 (fabs (- x y))) x)) (pow (+ (* -1 (pow x 2)) (* 1/4 (pow x 2))) 3))) (* 1/2 (/ (* x (+ (* -1/4 (/ (* (pow x 2) (- (* 1/2 (fabs (- x y))) x)) (pow (+ (* -1 (pow x 2)) (* 1/4 (pow x 2))) 3))) (* 1/4 (/ (- (* 1/2 (fabs (- x y))) x) (pow (+ (* -1 (pow x 2)) (* 1/4 (pow x 2))) 2))))) (+ (* -1 (pow x 2)) (* 1/4 (pow x 2)))))))) (+ (* -1/4 (/ (* (pow x 2) (- (* 1/2 (fabs (- x y))) x)) (pow (+ (* -1 (pow x 2)) (* 1/4 (pow x 2))) 3))) (* 1/4 (/ (- (* 1/2 (fabs (- x y))) x) (pow (+ (* -1 (pow x 2)) (* 1/4 (pow x 2))) 2)))))) (* -1/2 (/ (* x (- (* 1/2 (fabs (- x y))) x)) (pow (+ (* -1 (pow x 2)) (* 1/4 (pow x 2))) 2)))))) (/ x (+ (* -1 (pow x 2)) (* 1/4 (pow x 2)))))
(- (* 1/2 (fabs (- x y))) x)
(- (* 1/2 (fabs (- x y))) x)
(- (* 1/2 (fabs (- x y))) x)
(- (* 1/2 (fabs (- x y))) x)
(* -1 (pow x 2))
(+ (* -1 (pow x 2)) (pow y 2))
(+ (* -1 (pow x 2)) (pow y 2))
(+ (* -1 (pow x 2)) (pow y 2))
(+ (* -1 (pow x 2)) (* 1/4 (pow x 2)))
(+ (* -1 (pow x 2)) (+ (* -1/2 (* x y)) (* 1/4 (pow x 2))))
(+ (* -1 (pow x 2)) (+ (* 1/4 (pow x 2)) (* y (+ (* -1/2 x) (* 1/4 y)))))
(+ (* -1 (pow x 2)) (+ (* 1/4 (pow x 2)) (* y (+ (* -1/2 x) (* 1/4 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))
(+ x (* 1/2 (fabs (- y x))))
(+ x (* 1/2 (fabs (- y x))))
(+ x (* 1/2 (fabs (- y x))))
(+ x (* 1/2 (fabs (- y x))))
(* 1/2 (fabs (- y x)))
(* 1/2 (fabs (- y x)))
(* 1/2 (fabs (- y x)))
(* 1/2 (fabs (- y x)))
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
y
(* y (+ 1 (* -1 (/ x y))))
(* y (+ 1 (* -1 (/ x y))))
(* y (+ 1 (* -1 (/ x y))))
(+ x (* 1/2 (/ (fabs (+ (* -1 (pow x 2)) (pow y 2))) (fabs (+ x y)))))
(+ x (* 1/2 (/ (fabs (+ (* -1 (pow x 2)) (pow y 2))) (fabs (+ x y)))))
(+ x (* 1/2 (/ (fabs (+ (* -1 (pow x 2)) (pow y 2))) (fabs (+ x y)))))
(+ x (* 1/2 (/ (fabs (+ (* -1 (pow x 2)) (pow y 2))) (fabs (+ x y)))))
(* 1/2 (/ (fabs (+ (* -1 (pow x 2)) (pow y 2))) (fabs (+ x y))))
(* 1/2 (/ (fabs (+ (* -1 (pow x 2)) (pow y 2))) (fabs (+ x y))))
(* 1/2 (/ (fabs (+ (* -1 (pow x 2)) (pow y 2))) (fabs (+ x y))))
(* 1/2 (/ (fabs (+ (* -1 (pow x 2)) (pow y 2))) (fabs (+ x y))))
(* 1/2 (fabs (+ (* -1 (pow x 2)) (pow y 2))))
(* 1/2 (fabs (+ (* -1 (pow x 2)) (pow y 2))))
(* 1/2 (fabs (+ (* -1 (pow x 2)) (pow y 2))))
(* 1/2 (fabs (+ (* -1 (pow x 2)) (pow y 2))))
(fabs (+ (* -1 (pow x 2)) (pow y 2)))
(fabs (+ (* -1 (pow x 2)) (pow y 2)))
(fabs (+ (* -1 (pow x 2)) (pow y 2)))
(fabs (+ (* -1 (pow x 2)) (pow y 2)))
(+ x (* 1/2 (fabs (- x y))))
(+ x (* 1/2 (fabs (- x y))))
(+ x (* 1/2 (fabs (- x y))))
(+ x (* 1/2 (fabs (- x y))))
(/ 1 (+ x (* 1/2 (fabs (- x y)))))
(/ 1 (+ x (* 1/2 (fabs (- x y)))))
(/ 1 (+ x (* 1/2 (fabs (- x y)))))
(/ 1 (+ x (* 1/2 (fabs (- x y)))))
(+ x (* 1/2 (fabs (- x y))))
(+ x (* 1/2 (fabs (- x y))))
(+ x (* 1/2 (fabs (- x y))))
(+ x (* 1/2 (fabs (- x y))))
(* 1/4 (/ (pow y 2) (- (* 1/2 (fabs (- x y))) x)))
(* (pow y 2) (+ (* -1/2 (/ x (* y (- (* 1/2 (fabs (- x y))) x)))) (* 1/4 (/ 1 (- (* 1/2 (fabs (- x y))) x)))))
(* (pow y 2) (+ (* -1 (/ (pow x 2) (* (pow y 2) (- (* 1/2 (fabs (- x y))) x)))) (+ (* -1/2 (/ x (* y (- (* 1/2 (fabs (- x y))) x)))) (+ (* 1/4 (/ (pow x 2) (* (pow y 2) (- (* 1/2 (fabs (- x y))) x)))) (* 1/4 (/ 1 (- (* 1/2 (fabs (- x y))) x)))))))
(* (pow y 2) (+ (* -1 (/ (pow x 2) (* (pow y 2) (- (* 1/2 (fabs (- x y))) x)))) (+ (* -1/2 (/ x (* y (- (* 1/2 (fabs (- x y))) x)))) (+ (* 1/4 (/ (pow x 2) (* (pow y 2) (- (* 1/2 (fabs (- x y))) x)))) (* 1/4 (/ 1 (- (* 1/2 (fabs (- x y))) x)))))))
(* 4 (/ (- (* 1/2 (fabs (- x y))) x) (pow y 2)))
(/ (+ (* 4 (- (* 1/2 (fabs (- x y))) x)) (* 8 (/ (* x (- (* 1/2 (fabs (- x y))) x)) y))) (pow y 2))
(/ (- (+ (* -1 (/ (+ (* -16 (* (pow x 2) (- (* 1/2 (fabs (- x y))) x))) (* 16 (* (+ (* -1 (pow x 2)) (* 1/4 (pow x 2))) (- (* 1/2 (fabs (- x y))) x)))) (pow y 2))) (* 4 (- (* 1/2 (fabs (- x y))) x))) (* -8 (/ (* x (- (* 1/2 (fabs (- x y))) x)) y))) (pow y 2))
(/ (- (+ (* -1 (/ (+ (* 2 (* x (+ (* -16 (* (pow x 2) (- (* 1/2 (fabs (- x y))) x))) (* 16 (* (+ (* -1 (pow x 2)) (* 1/4 (pow x 2))) (- (* 1/2 (fabs (- x y))) x)))))) (* 32 (* x (* (+ (* -1 (pow x 2)) (* 1/4 (pow x 2))) (- (* 1/2 (fabs (- x y))) x))))) (pow y 3))) (* 4 (- (* 1/2 (fabs (- x y))) x))) (+ (* -16 (/ (* (pow x 2) (- (* 1/2 (fabs (- x y))) x)) (pow y 2))) (+ (* -8 (/ (* x (- (* 1/2 (fabs (- x y))) x)) y)) (* 16 (/ (* (+ (* -1 (pow x 2)) (* 1/4 (pow x 2))) (- (* 1/2 (fabs (- x y))) x)) (pow y 2)))))) (pow y 2))
(- (* 1/2 (fabs (- x y))) x)
(- (* 1/2 (fabs (- x y))) x)
(- (* 1/2 (fabs (- x y))) x)
(- (* 1/2 (fabs (- x y))) x)
(pow y 2)
(* (pow y 2) (+ 1 (* -1 (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (+ 1 (* -1 (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (+ 1 (* -1 (/ (pow x 2) (pow y 2)))))
(* 1/4 (pow y 2))
(* (pow y 2) (+ 1/4 (* -1/2 (/ x y))))
(* (pow y 2) (+ 1/4 (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (* -1/2 (/ x y)) (* 1/4 (/ (pow x 2) (pow y 2)))))))
(* (pow y 2) (+ 1/4 (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (* -1/2 (/ x y)) (* 1/4 (/ (pow x 2) (pow y 2)))))))
(+ x (* 1/2 (fabs (+ x (* -1 y)))))
(+ x (* 1/2 (fabs (+ x (* -1 y)))))
(+ x (* 1/2 (fabs (+ x (* -1 y)))))
(+ x (* 1/2 (fabs (+ x (* -1 y)))))
(fabs (+ x (* -1 y)))
(fabs (+ x (* -1 y)))
(fabs (+ x (* -1 y)))
(fabs (+ x (* -1 y)))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(+ x (* 1/2 (fabs (neg (+ x (* -1 y))))))
(+ x (* 1/2 (fabs (neg (+ x (* -1 y))))))
(+ x (* 1/2 (fabs (neg (+ x (* -1 y))))))
(+ x (* 1/2 (fabs (neg (+ x (* -1 y))))))
(* 1/2 (fabs (neg (+ x (* -1 y)))))
(* 1/2 (fabs (neg (+ x (* -1 y)))))
(* 1/2 (fabs (neg (+ x (* -1 y)))))
(* 1/2 (fabs (neg (+ x (* -1 y)))))
(fabs (neg (+ x (* -1 y))))
(fabs (neg (+ x (* -1 y))))
(fabs (neg (+ x (* -1 y))))
(fabs (neg (+ x (* -1 y))))
y
(* -1 (* y (- (/ x y) 1)))
(* -1 (* y (- (/ x y) 1)))
(* -1 (* y (- (/ x y) 1)))
(+ x (* 1/2 (/ (fabs (+ (* -1 (pow x 2)) (pow y 2))) (fabs (- x (* -1 y))))))
(+ x (* 1/2 (/ (fabs (+ (* -1 (pow x 2)) (pow y 2))) (fabs (- x (* -1 y))))))
(+ x (* 1/2 (/ (fabs (+ (* -1 (pow x 2)) (pow y 2))) (fabs (- x (* -1 y))))))
(+ x (* 1/2 (/ (fabs (+ (* -1 (pow x 2)) (pow y 2))) (fabs (- x (* -1 y))))))
(* 1/2 (/ (fabs (+ (* -1 (pow x 2)) (pow y 2))) (fabs (- x (* -1 y)))))
(* 1/2 (/ (fabs (+ (* -1 (pow x 2)) (pow y 2))) (fabs (- x (* -1 y)))))
(* 1/2 (/ (fabs (+ (* -1 (pow x 2)) (pow y 2))) (fabs (- x (* -1 y)))))
(* 1/2 (/ (fabs (+ (* -1 (pow x 2)) (pow y 2))) (fabs (- x (* -1 y)))))
(* 1/2 (fabs (+ (* -1 (pow x 2)) (pow y 2))))
(* 1/2 (fabs (+ (* -1 (pow x 2)) (pow y 2))))
(* 1/2 (fabs (+ (* -1 (pow x 2)) (pow y 2))))
(* 1/2 (fabs (+ (* -1 (pow x 2)) (pow y 2))))
(fabs (+ (* -1 (pow x 2)) (pow y 2)))
(fabs (+ (* -1 (pow x 2)) (pow y 2)))
(fabs (+ (* -1 (pow x 2)) (pow y 2)))
(fabs (+ (* -1 (pow x 2)) (pow y 2)))
(+ x (* 1/2 (fabs (+ x (* -1 y)))))
(+ x (* 1/2 (fabs (+ x (* -1 y)))))
(+ x (* 1/2 (fabs (+ x (* -1 y)))))
(+ x (* 1/2 (fabs (+ x (* -1 y)))))
(/ 1 (+ x (* 1/2 (fabs (+ x (* -1 y))))))
(/ 1 (+ x (* 1/2 (fabs (+ x (* -1 y))))))
(/ 1 (+ x (* 1/2 (fabs (+ x (* -1 y))))))
(/ 1 (+ x (* 1/2 (fabs (+ x (* -1 y))))))
(+ x (* 1/2 (fabs (+ x (* -1 y)))))
(+ x (* 1/2 (fabs (+ x (* -1 y)))))
(+ x (* 1/2 (fabs (+ x (* -1 y)))))
(+ x (* 1/2 (fabs (+ x (* -1 y)))))
(* 1/4 (/ (pow y 2) (- (* 1/2 (fabs (+ x (* -1 y)))) x)))
(* (pow y 2) (+ (* -1/2 (/ x (* y (- (* 1/2 (fabs (+ x (* -1 y)))) x)))) (* 1/4 (/ 1 (- (* 1/2 (fabs (+ x (* -1 y)))) x)))))
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow x 2) (- (* 1/2 (fabs (+ x (* -1 y)))) x))) (* 1/4 (/ (pow x 2) (- (* 1/2 (fabs (+ x (* -1 y)))) x)))) y)) (* 1/2 (/ x (- (* 1/2 (fabs (+ x (* -1 y)))) x)))) y)) (* 1/4 (/ 1 (- (* 1/2 (fabs (+ x (* -1 y)))) x)))))
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow x 2) (- (* 1/2 (fabs (+ x (* -1 y)))) x))) (* 1/4 (/ (pow x 2) (- (* 1/2 (fabs (+ x (* -1 y)))) x)))) y)) (* 1/2 (/ x (- (* 1/2 (fabs (+ x (* -1 y)))) x)))) y)) (* 1/4 (/ 1 (- (* 1/2 (fabs (+ x (* -1 y)))) x)))))
(* 4 (/ (- (* 1/2 (fabs (+ x (* -1 y)))) x) (pow y 2)))
(/ (+ (* 4 (- (* 1/2 (fabs (+ x (* -1 y)))) x)) (* 8 (/ (* x (- (* 1/2 (fabs (+ x (* -1 y)))) x)) y))) (pow y 2))
(/ (+ (* -1 (/ (- (+ (* -16 (/ (* (pow x 2) (- (* 1/2 (fabs (+ x (* -1 y)))) x)) y)) (* 16 (/ (* (+ (* -1 (pow x 2)) (* 1/4 (pow x 2))) (- (* 1/2 (fabs (+ x (* -1 y)))) x)) y))) (* 8 (* x (- (* 1/2 (fabs (+ x (* -1 y)))) x)))) y)) (* 4 (- (* 1/2 (fabs (+ x (* -1 y)))) x))) (pow y 2))
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Outputs
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)
(fabs.f64 (-.f64 y x))
(fabs.f64 (-.f64 y x))
(fabs.f64 (-.f64 y x))
(fabs.f64 (-.f64 y x))
x
(-.f64 x y)
(-.f64 x y)
(-.f64 x y)
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)
(*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))
(*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))
(*.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))
(fabs.f64 (-.f64 y x))
(fabs.f64 (-.f64 y x))
(fabs.f64 (-.f64 y x))
(neg.f64 x)
(-.f64 y x)
(-.f64 y x)
(-.f64 y x)
(fma.f64 (/.f64 (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y))) (fabs.f64 (+.f64 y x))) #s(literal 1/2 binary64) x)
(fma.f64 (/.f64 (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y))) (fabs.f64 (+.f64 y x))) #s(literal 1/2 binary64) x)
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(fma.f64 (/.f64 (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y))) (fabs.f64 (+.f64 y x))) #s(literal 1/2 binary64) x)
(.f64 (/.f64 (fabs.f64 (fma.f64 (neg.f64 x) x (.f64 y y))) (fabs.f64 (+.f64 y x))) #s(literal 1/2 binary64))
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(.f64 (/.f64 (fabs.f64 (fma.f64 (neg.f64 x) x (.f64 y y))) (fabs.f64 (+.f64 y x))) #s(literal 1/2 binary64))
(.f64 (/.f64 (fabs.f64 (fma.f64 (neg.f64 x) x (.f64 y y))) (fabs.f64 (+.f64 y x))) #s(literal 1/2 binary64))
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(.f64 (fabs.f64 (fma.f64 (neg.f64 x) x (.f64 y y))) #s(literal 1/2 binary64))
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(.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)))
(fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)))
(fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)))
(fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)))
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)
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x
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x
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x
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(fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)))
x
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(*.f64 (fma.f64 (fabs.f64 (-.f64 y x)) (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) x)
(*.f64 (fma.f64 (fabs.f64 (-.f64 y x)) (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) x)
(*.f64 (neg.f64 x) x)
(.f64 (.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal -1 binary64)) x) x)
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(.f64 (.f64 (-.f64 #s(literal -3/4 binary64) (/.f64 (fma.f64 (.f64 y (/.f64 y x)) #s(literal -1/4 binary64) (.f64 #s(literal 1/2 binary64) y)) x)) x) x)
(.f64 (.f64 (-.f64 #s(literal -3/4 binary64) (/.f64 (fma.f64 (.f64 y (/.f64 y x)) #s(literal -1/4 binary64) (.f64 #s(literal 1/2 binary64) y)) x)) x) x)

rewrite207.0ms (3%)

Memory

19.5MiB live, 333.3MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	36	187
0	63	135
1	254	135
2	1772	123
0	8541	123

Stop Event

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

Counts

19 → 1 535

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

Outputs
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eval632.0ms (9.1%)

Memory: -10.1MiB live, 782.9MiB allocated
Compiler: Compiled 67 872 to 4 914 computations (92.8% saved)

prune83.0ms (1.2%)

Memory

-32.7MiB live, 222.9MiB allocated

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	2 508	13	2 521
Fresh	4	1	5
Picked	4	1	5
Done	0	0	0
Total	2 516	15	2 531

Accuracy

100.0%

Counts

2 531 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.3%	(fma.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64)) x)
	50.6%	(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)
▶	58.9%	(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)
	54.8%	(fma.f64 (*.f64 (sqrt.f64 (-.f64 x y)) (sqrt.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)
▶	87.9%	(fma.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y))) #s(literal 1/2 binary64) x)
	88.5%	(fma.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) #s(literal 1/2 binary64) x)
	59.9%	(fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x)
	58.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)))
	49.4%	(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* 1/2 (fabs (- x y))) (neg x)) (+ (* 1/4 (pow (- x y) 2)) (* (neg x) x))) (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal -2/3 binary64) (fabs.f64 (-.f64 y x)) (*.f64 #s(literal -8/9 binary64) y)) x) #s(literal 4/3 binary64)) x)))
	58.9%	(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 y x))))
▶	25.2%	#s(approx (/ 1 (/ (+ (* 1/2 (fabs (- x y))) (neg x)) (+ (* 1/4 (pow (- x y) 2)) (* (neg x) x)))) (/.f64 (.f64 #s(literal -3/4 binary64) (.f64 x x)) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) (neg.f64 x))))
▶	11.3%	#s(approx (/ 1 (/ (+ (* 1/2 (fabs (- x y))) (neg x)) (+ (* 1/4 (pow (- x y) 2)) (* (neg x) x)))) (*.f64 #s(literal 3/4 binary64) x))
	52.2%	#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (-.f64 y x) #s(literal -1/2 binary64)))
	7.8%	#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64)))

Compiler

Compiled 507 to 358 computations (29.4% saved)

simplify107.0ms (1.5%)

Memory

31.5MiB live, 217.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 #s(literal -3/4 binary64) (.f64 x x))
cost-diff	0	#s(approx (/ 1 (/ (+ (* 1/2 (fabs (- x y))) (neg x)) (+ (* 1/4 (pow (- x y) 2)) (* (neg x) x)))) (/.f64 (.f64 #s(literal -3/4 binary64) (.f64 x x)) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) (neg.f64 x))))
cost-diff	128	(/.f64 (.f64 #s(literal -3/4 binary64) (.f64 x x)) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) (neg.f64 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	(-.f64 y x)
cost-diff	0	(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)
cost-diff	0	(*.f64 #s(literal 3/4 binary64) x)
cost-diff	0	#s(approx (/ 1 (/ (+ (* 1/2 (fabs (- x y))) (neg x)) (+ (* 1/4 (pow (- x y) 2)) (* (neg x) x)))) (*.f64 #s(literal 3/4 binary64) x))
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))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	226
0	65	211
1	105	207
2	168	203
3	370	203
4	1124	191
5	4045	191
0	8234	184

Stop Event

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

Calls

Call 1

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

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

localize136.0ms (2%)

Memory

11.9MiB live, 289.1MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.02734375	(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) (neg.f64 x))
accuracy	0.16015625	(.f64 #s(literal -3/4 binary64) (.f64 x x))
accuracy	20.53276987521195	(/.f64 (.f64 #s(literal -3/4 binary64) (.f64 x x)) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) (neg.f64 x)))
accuracy	32.47058137457879	#s(approx (/ 1 (/ (+ (* 1/2 (fabs (- x y))) (neg x)) (+ (* 1/4 (pow (- x y) 2)) (* (neg x) x)))) (/.f64 (.f64 #s(literal -3/4 binary64) (.f64 x x)) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) (neg.f64 x))))
accuracy	0	#s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y))
accuracy	0.00390625	(-.f64 (/.f64 x y) #s(literal 1 binary64))
accuracy	0.05078125	(fma.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y))) #s(literal 1/2 binary64) x)
accuracy	7.543223331913132	(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)
accuracy	0	(-.f64 y x)
accuracy	0.07421875	(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)
accuracy	0	(*.f64 #s(literal 3/4 binary64) x)
accuracy	56.754017835125616	#s(approx (/ 1 (/ (+ (* 1/2 (fabs (- x y))) (neg x)) (+ (* 1/4 (pow (- x y) 2)) (* (neg x) x)))) (*.f64 #s(literal 3/4 binary64) x))
accuracy	0	(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)))
accuracy	0	(fabs.f64 (-.f64 x y))
accuracy	0.0078125	(pow.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64))
accuracy	0.4140625	(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)

Samples

81.0ms	229×	0	valid
7.0ms	10×	2	valid
7.0ms	8×	3	valid
4.0ms	9×	1	valid

Compiler

Compiled 416 to 83 computations (80% saved)

Precisions

Click to see histograms. Total time spent on operations: 57.0ms

ival-mult: 19.0ms (33.3% of total)

ival-add: 12.0ms (21% of total)

ival-div: 7.0ms (12.3% of total)

ival-sub: 5.0ms (8.8% of total)

adjust: 3.0ms (5.3% of total)

ival-pow2: 3.0ms (5.3% of total)

ival-fabs: 3.0ms (5.3% of total)

ival-sqrt: 2.0ms (3.5% of total)

exact: 1.0ms (1.8% of total)

ival-neg: 1.0ms (1.8% of total)

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

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

series109.0ms (1.6%)

Memory

-15.3MiB live, 109.4MiB allocated

Counts

18 → 396

Calls

Call 1

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

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

6 calls:

Time	Variable		Point	Expression
44.0ms	y	@	0	((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))) (fabs (- x y)) (/ 1 (/ (+ (* 1/2 (fabs (- x y))) (neg x)) (+ (* 1/4 (pow (- x y) 2)) (* (neg x) x)))) (* 3/4 x) (+ (* (- y x) -1/2) x) (- y x) (* (- (/ x y) 1) y) (+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (/ (* -3/4 (* x x)) (+ (* (fabs (- y x)) 1/2) (neg x))) (/ 1 (/ (+ (* 1/2 (fabs (- x y))) (neg x)) (+ (* 1/4 (pow (- x y) 2)) (* (neg x) x)))) (* -3/4 (* x x)) (* x x) (- (/ x y) 1) (+ (* (fabs (- y x)) 1/2) (neg x)))
33.0ms	x	@	-inf	((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))) (fabs (- x y)) (/ 1 (/ (+ (* 1/2 (fabs (- x y))) (neg x)) (+ (* 1/4 (pow (- x y) 2)) (* (neg x) x)))) (* 3/4 x) (+ (* (- y x) -1/2) x) (- y x) (* (- (/ x y) 1) y) (+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (/ (* -3/4 (* x x)) (+ (* (fabs (- y x)) 1/2) (neg x))) (/ 1 (/ (+ (* 1/2 (fabs (- x y))) (neg x)) (+ (* 1/4 (pow (- x y) 2)) (* (neg x) x)))) (* -3/4 (* x x)) (* x x) (- (/ x y) 1) (+ (* (fabs (- y x)) 1/2) (neg x)))
4.0ms	y	@	-inf	((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))) (fabs (- x y)) (/ 1 (/ (+ (* 1/2 (fabs (- x y))) (neg x)) (+ (* 1/4 (pow (- x y) 2)) (* (neg x) x)))) (* 3/4 x) (+ (* (- y x) -1/2) x) (- y x) (* (- (/ x y) 1) y) (+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (/ (* -3/4 (* x x)) (+ (* (fabs (- y x)) 1/2) (neg x))) (/ 1 (/ (+ (* 1/2 (fabs (- x y))) (neg x)) (+ (* 1/4 (pow (- x y) 2)) (* (neg x) x)))) (* -3/4 (* x x)) (* x x) (- (/ x y) 1) (+ (* (fabs (- y x)) 1/2) (neg x)))
3.0ms	x	@	inf	((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))) (fabs (- x y)) (/ 1 (/ (+ (* 1/2 (fabs (- x y))) (neg x)) (+ (* 1/4 (pow (- x y) 2)) (* (neg x) x)))) (* 3/4 x) (+ (* (- y x) -1/2) x) (- y x) (* (- (/ x y) 1) y) (+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (/ (* -3/4 (* x x)) (+ (* (fabs (- y x)) 1/2) (neg x))) (/ 1 (/ (+ (* 1/2 (fabs (- x y))) (neg x)) (+ (* 1/4 (pow (- x y) 2)) (* (neg x) x)))) (* -3/4 (* x x)) (* x x) (- (/ x y) 1) (+ (* (fabs (- y x)) 1/2) (neg x)))
3.0ms	y	@	inf	((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))) (fabs (- x y)) (/ 1 (/ (+ (* 1/2 (fabs (- x y))) (neg x)) (+ (* 1/4 (pow (- x y) 2)) (* (neg x) x)))) (* 3/4 x) (+ (* (- y x) -1/2) x) (- y x) (* (- (/ x y) 1) y) (+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (/ (* -3/4 (* x x)) (+ (* (fabs (- y x)) 1/2) (neg x))) (/ 1 (/ (+ (* 1/2 (fabs (- x y))) (neg x)) (+ (* 1/4 (pow (- x y) 2)) (* (neg x) x)))) (* -3/4 (* x x)) (* x x) (- (/ x y) 1) (+ (* (fabs (- y x)) 1/2) (neg x)))

simplify362.0ms (5.2%)

Memory

-224.7MiB live, 297.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	369	4395
1	1121	4155
2	2977	4016
0	9009	3839

Stop Event

1×	iter limit
1×	node limit

Counts

396 → 383

Calls

Call 1

Inputs
(* (sqrt (fabs (- x y))) (sqrt 1/2))
(* (sqrt (fabs (- x y))) (sqrt 1/2))
(* (sqrt (fabs (- x y))) (sqrt 1/2))
(* (sqrt (fabs (- x y))) (sqrt 1/2))
(+ x (* (fabs (- x y)) (pow (sqrt 1/2) 2)))
(+ x (* (fabs (- x y)) (pow (sqrt 1/2) 2)))
(+ x (* (fabs (- x y)) (pow (sqrt 1/2) 2)))
(+ x (* (fabs (- x y)) (pow (sqrt 1/2) 2)))
(* 1/2 (fabs (- x y)))
(* 1/2 (fabs (- x y)))
(* 1/2 (fabs (- x y)))
(* 1/2 (fabs (- x y)))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
(/ (+ (* -1 (pow x 2)) (* 1/4 (pow x 2))) (- (* 1/2 (fabs (- x y))) x))
(+ (* -1 (/ (pow x 2) (- (* 1/2 (fabs (- x y))) x))) (+ (* -1/2 (/ (* x y) (- (* 1/2 (fabs (- x y))) x))) (* 1/4 (/ (pow x 2) (- (* 1/2 (fabs (- x y))) x)))))
(+ (* -1 (/ (pow x 2) (- (* 1/2 (fabs (- x y))) x))) (+ (* 1/4 (/ (pow x 2) (- (* 1/2 (fabs (- x y))) x))) (* y (+ (* -1/2 (/ x (- (* 1/2 (fabs (- x y))) x))) (* 1/4 (/ y (- (* 1/2 (fabs (- x y))) x)))))))
(+ (* -1 (/ (pow x 2) (- (* 1/2 (fabs (- x y))) x))) (+ (* 1/4 (/ (pow x 2) (- (* 1/2 (fabs (- x y))) x))) (* y (+ (* -1/2 (/ x (- (* 1/2 (fabs (- x y))) x))) (* 1/4 (/ y (- (* 1/2 (fabs (- x y))) x)))))))
(+ x (* 1/2 x))
(+ x (+ (* -1/2 y) (* 1/2 x)))
(+ x (+ (* -1/2 y) (* 1/2 x)))
(+ x (+ (* -1/2 y) (* 1/2 x)))
(* -1 x)
(- y x)
(- y x)
(- y x)
x
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* 1/2 (fabs (- x y))))
(+ x (* 1/2 (fabs (- x y))))
(+ x (* 1/2 (fabs (- x y))))
(+ x (* 1/2 (fabs (- x y))))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
x
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* -1 y))
(* -3/4 (/ (pow x 2) (- (* 1/2 (fabs (- y x))) x)))
(* -3/4 (/ (pow x 2) (- (* 1/2 (fabs (- y x))) x)))
(* -3/4 (/ (pow x 2) (- (* 1/2 (fabs (- y x))) x)))
(* -3/4 (/ (pow x 2) (- (* 1/2 (fabs (- y x))) x)))
(/ (+ (* -1 (pow x 2)) (* 1/4 (pow x 2))) (- (* 1/2 (fabs (- x y))) x))
(+ (* -1 (/ (pow x 2) (- (* 1/2 (fabs (- x y))) x))) (+ (* -1/2 (/ (* x y) (- (* 1/2 (fabs (- x y))) x))) (* 1/4 (/ (pow x 2) (- (* 1/2 (fabs (- x y))) x)))))
(+ (* -1 (/ (pow x 2) (- (* 1/2 (fabs (- x y))) x))) (+ (* 1/4 (/ (pow x 2) (- (* 1/2 (fabs (- x y))) x))) (* y (+ (* -1/2 (/ x (- (* 1/2 (fabs (- x y))) x))) (* 1/4 (/ y (- (* 1/2 (fabs (- x y))) x)))))))
(+ (* -1 (/ (pow x 2) (- (* 1/2 (fabs (- x y))) x))) (+ (* 1/4 (/ (pow x 2) (- (* 1/2 (fabs (- x y))) x))) (* y (+ (* -1/2 (/ x (- (* 1/2 (fabs (- x y))) x))) (* 1/4 (/ y (- (* 1/2 (fabs (- x y))) x)))))))
(/ x y)
(/ (+ x (* -1 y)) y)
(/ (+ x (* -1 y)) y)
(/ (+ x (* -1 y)) y)
(- (* 1/2 (fabs (- y x))) x)
(- (* 1/2 (fabs (- y x))) x)
(- (* 1/2 (fabs (- y x))) x)
(- (* 1/2 (fabs (- y x))) x)
(* (sqrt (fabs (- x y))) (sqrt 1/2))
(* (sqrt (fabs (- x y))) (sqrt 1/2))
(* (sqrt (fabs (- x y))) (sqrt 1/2))
(* (sqrt (fabs (- x y))) (sqrt 1/2))
(+ x (* (fabs (- x y)) (pow (sqrt 1/2) 2)))
(+ x (* (fabs (- x y)) (pow (sqrt 1/2) 2)))
(+ x (* (fabs (- x y)) (pow (sqrt 1/2) 2)))
(+ x (* (fabs (- x y)) (pow (sqrt 1/2) 2)))
(* 1/2 (fabs (- x y)))
(* 1/2 (fabs (- x y)))
(* 1/2 (fabs (- x y)))
(* 1/2 (fabs (- x y)))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
(* 1/4 (/ (pow y 2) (- (* 1/2 (fabs (- x y))) x)))
(* (pow y 2) (+ (* -1/2 (/ x (* y (- (* 1/2 (fabs (- x y))) x)))) (* 1/4 (/ 1 (- (* 1/2 (fabs (- x y))) x)))))
(* (pow y 2) (+ (* -1 (/ (pow x 2) (* (pow y 2) (- (* 1/2 (fabs (- x y))) x)))) (+ (* -1/2 (/ x (* y (- (* 1/2 (fabs (- x y))) x)))) (+ (* 1/4 (/ (pow x 2) (* (pow y 2) (- (* 1/2 (fabs (- x y))) x)))) (* 1/4 (/ 1 (- (* 1/2 (fabs (- x y))) x)))))))
(* (pow y 2) (+ (* -1 (/ (pow x 2) (* (pow y 2) (- (* 1/2 (fabs (- x y))) x)))) (+ (* -1/2 (/ x (* y (- (* 1/2 (fabs (- x y))) x)))) (+ (* 1/4 (/ (pow x 2) (* (pow y 2) (- (* 1/2 (fabs (- x y))) x)))) (* 1/4 (/ 1 (- (* 1/2 (fabs (- x y))) x)))))))
(* -1/2 y)
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
y
(* y (+ 1 (* -1 (/ x y))))
(* y (+ 1 (* -1 (/ x y))))
(* y (+ 1 (* -1 (/ x y))))
(* -1 y)
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(+ x (* 1/2 (fabs (- x y))))
(+ x (* 1/2 (fabs (- x y))))
(+ x (* 1/2 (fabs (- x y))))
(+ x (* 1/2 (fabs (- x y))))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
(* -1 y)
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* -3/4 (/ (pow x 2) (- (* 1/2 (fabs (- y x))) x)))
(* -3/4 (/ (pow x 2) (- (* 1/2 (fabs (- y x))) x)))
(* -3/4 (/ (pow x 2) (- (* 1/2 (fabs (- y x))) x)))
(* -3/4 (/ (pow x 2) (- (* 1/2 (fabs (- y x))) x)))
(* 1/4 (/ (pow y 2) (- (* 1/2 (fabs (- x y))) x)))
(* (pow y 2) (+ (* -1/2 (/ x (* y (- (* 1/2 (fabs (- x y))) x)))) (* 1/4 (/ 1 (- (* 1/2 (fabs (- x y))) x)))))
(* (pow y 2) (+ (* -1 (/ (pow x 2) (* (pow y 2) (- (* 1/2 (fabs (- x y))) x)))) (+ (* -1/2 (/ x (* y (- (* 1/2 (fabs (- x y))) x)))) (+ (* 1/4 (/ (pow x 2) (* (pow y 2) (- (* 1/2 (fabs (- x y))) x)))) (* 1/4 (/ 1 (- (* 1/2 (fabs (- x y))) x)))))))
(* (pow y 2) (+ (* -1 (/ (pow x 2) (* (pow y 2) (- (* 1/2 (fabs (- x y))) x)))) (+ (* -1/2 (/ x (* y (- (* 1/2 (fabs (- x y))) x)))) (+ (* 1/4 (/ (pow x 2) (* (pow y 2) (- (* 1/2 (fabs (- x y))) x)))) (* 1/4 (/ 1 (- (* 1/2 (fabs (- x y))) x)))))))
-1
(- (/ x y) 1)
(- (/ x y) 1)
(- (/ x y) 1)
(- (* 1/2 (fabs (- y x))) x)
(- (* 1/2 (fabs (- y x))) x)
(- (* 1/2 (fabs (- y x))) x)
(- (* 1/2 (fabs (- y x))) x)
(* (sqrt (fabs (+ x (* -1 y)))) (sqrt 1/2))
(* (sqrt (fabs (+ x (* -1 y)))) (sqrt 1/2))
(* (sqrt (fabs (+ x (* -1 y)))) (sqrt 1/2))
(* (sqrt (fabs (+ x (* -1 y)))) (sqrt 1/2))
(+ x (* (fabs (+ x (* -1 y))) (pow (sqrt 1/2) 2)))
(+ x (* (fabs (+ x (* -1 y))) (pow (sqrt 1/2) 2)))
(+ x (* (fabs (+ x (* -1 y))) (pow (sqrt 1/2) 2)))
(+ x (* (fabs (+ x (* -1 y))) (pow (sqrt 1/2) 2)))
(* 1/2 (fabs (+ x (* -1 y))))
(* 1/2 (fabs (+ x (* -1 y))))
(* 1/2 (fabs (+ x (* -1 y))))
(* 1/2 (fabs (+ x (* -1 y))))
(fabs (+ x (* -1 y)))
(fabs (+ x (* -1 y)))
(fabs (+ x (* -1 y)))
(fabs (+ x (* -1 y)))
(* 1/4 (/ (pow y 2) (- (* 1/2 (fabs (+ x (* -1 y)))) x)))
(* (pow y 2) (+ (* -1/2 (/ x (* y (- (* 1/2 (fabs (+ x (* -1 y)))) x)))) (* 1/4 (/ 1 (- (* 1/2 (fabs (+ x (* -1 y)))) x)))))
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow x 2) (- (* 1/2 (fabs (+ x (* -1 y)))) x))) (* 1/4 (/ (pow x 2) (- (* 1/2 (fabs (+ x (* -1 y)))) x)))) y)) (* 1/2 (/ x (- (* 1/2 (fabs (+ x (* -1 y)))) x)))) y)) (* 1/4 (/ 1 (- (* 1/2 (fabs (+ x (* -1 y)))) x)))))
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow x 2) (- (* 1/2 (fabs (+ x (* -1 y)))) x))) (* 1/4 (/ (pow x 2) (- (* 1/2 (fabs (+ x (* -1 y)))) x)))) y)) (* 1/2 (/ x (- (* 1/2 (fabs (+ x (* -1 y)))) x)))) y)) (* 1/4 (/ 1 (- (* 1/2 (fabs (+ x (* -1 y)))) x)))))
(* -1/2 y)
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
y
(* -1 (* y (- (/ x y) 1)))
(* -1 (* y (- (/ x y) 1)))
(* -1 (* y (- (/ x y) 1)))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(+ x (* 1/2 (fabs (+ x (* -1 y)))))
(+ x (* 1/2 (fabs (+ x (* -1 y)))))
(+ x (* 1/2 (fabs (+ x (* -1 y)))))
(+ x (* 1/2 (fabs (+ x (* -1 y)))))
(fabs (+ x (* -1 y)))
(fabs (+ x (* -1 y)))
(fabs (+ x (* -1 y)))
(fabs (+ x (* -1 y)))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -3/4 (/ (pow x 2) (- (* 1/2 (fabs (neg (+ x (* -1 y))))) x)))
(* -3/4 (/ (pow x 2) (- (* 1/2 (fabs (neg (+ x (* -1 y))))) x)))
(* -3/4 (/ (pow x 2) (- (* 1/2 (fabs (neg (+ x (* -1 y))))) x)))
(* -3/4 (/ (pow x 2) (- (* 1/2 (fabs (neg (+ x (* -1 y))))) x)))
(* 1/4 (/ (pow y 2) (- (* 1/2 (fabs (+ x (* -1 y)))) x)))
(* (pow y 2) (+ (* -1/2 (/ x (* y (- (* 1/2 (fabs (+ x (* -1 y)))) x)))) (* 1/4 (/ 1 (- (* 1/2 (fabs (+ x (* -1 y)))) x)))))
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow x 2) (- (* 1/2 (fabs (+ x (* -1 y)))) x))) (* 1/4 (/ (pow x 2) (- (* 1/2 (fabs (+ x (* -1 y)))) x)))) y)) (* 1/2 (/ x (- (* 1/2 (fabs (+ x (* -1 y)))) x)))) y)) (* 1/4 (/ 1 (- (* 1/2 (fabs (+ x (* -1 y)))) x)))))
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow x 2) (- (* 1/2 (fabs (+ x (* -1 y)))) x))) (* 1/4 (/ (pow x 2) (- (* 1/2 (fabs (+ x (* -1 y)))) x)))) y)) (* 1/2 (/ x (- (* 1/2 (fabs (+ x (* -1 y)))) x)))) y)) (* 1/4 (/ 1 (- (* 1/2 (fabs (+ x (* -1 y)))) x)))))
-1
(- (/ x y) 1)
(- (/ x y) 1)
(- (/ x y) 1)
(- (* 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)
(* (sqrt (fabs (- x y))) (sqrt 1/2))
(* (sqrt (fabs (- x y))) (sqrt 1/2))
(* (sqrt (fabs (- x y))) (sqrt 1/2))
(* (sqrt (fabs (- x y))) (sqrt 1/2))
(* (fabs (- x y)) (pow (sqrt 1/2) 2))
(+ x (* (fabs (- x y)) (pow (sqrt 1/2) 2)))
(+ x (* (fabs (- x y)) (pow (sqrt 1/2) 2)))
(+ x (* (fabs (- x y)) (pow (sqrt 1/2) 2)))
(* 1/2 (fabs (- x y)))
(* 1/2 (fabs (- x y)))
(* 1/2 (fabs (- x y)))
(* 1/2 (fabs (- x y)))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
(* 1/2 (/ (pow y 2) (fabs (- x y))))
(+ (* 1/2 (/ (pow y 2) (fabs (- x y)))) (* x (- (* -1 (/ y (fabs (- x y)))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2))))))
(+ (* 1/2 (/ (pow y 2) (fabs (- x y)))) (* x (- (+ (* -1 (* x (+ (* -2 (/ (- (* -1 (/ y (fabs (- x y)))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2)))) (fabs (- x y)))) (* 3/2 (/ 1 (fabs (- x y))))))) (* -1 (/ y (fabs (- x y))))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2))))))
(+ (* 1/2 (/ (pow y 2) (fabs (- x y)))) (* x (- (+ (* -1 (/ y (fabs (- x y)))) (* x (- (* -2 (/ (* x (+ (* -2 (/ (- (* -1 (/ y (fabs (- x y)))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2)))) (fabs (- x y)))) (* 3/2 (/ 1 (fabs (- x y)))))) (fabs (- x y)))) (+ (* -2 (/ (- (* -1 (/ y (fabs (- x y)))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2)))) (fabs (- x y)))) (* 3/2 (/ 1 (fabs (- x y)))))))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2))))))
(* 3/4 x)
(* 3/4 x)
(* 3/4 x)
(* 3/4 x)
(* -1/2 y)
(+ (* -1/2 y) (* 3/2 x))
(+ (* -1/2 y) (* 3/2 x))
(+ (* -1/2 y) (* 3/2 x))
y
(+ y (* -1 x))
(+ y (* -1 x))
(+ y (* -1 x))
(* -1 y)
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* -1 y))
(* 1/2 (fabs (- x y)))
(+ x (* 1/2 (fabs (- x y))))
(+ x (* 1/2 (fabs (- x y))))
(+ x (* 1/2 (fabs (- x y))))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
(* -1 y)
(- x y)
(- x y)
(- x y)
(* -3/2 (/ (pow x 2) (fabs (- y x))))
(* (pow x 2) (- (* -3 (/ x (pow (fabs (- y x)) 2))) (* 3/2 (/ 1 (fabs (- y x))))))
(* (pow x 2) (- (* x (- (* -6 (/ x (pow (fabs (- y x)) 3))) (* 3 (/ 1 (pow (fabs (- y x)) 2))))) (* 3/2 (/ 1 (fabs (- y x))))))
(* (pow x 2) (- (* x (- (* x (- (* -12 (/ x (pow (fabs (- y x)) 4))) (* 6 (/ 1 (pow (fabs (- y x)) 3))))) (* 3 (/ 1 (pow (fabs (- y x)) 2))))) (* 3/2 (/ 1 (fabs (- y x))))))
(* 1/2 (/ (pow y 2) (fabs (- x y))))
(+ (* 1/2 (/ (pow y 2) (fabs (- x y)))) (* x (- (* -1 (/ y (fabs (- x y)))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2))))))
(+ (* 1/2 (/ (pow y 2) (fabs (- x y)))) (* x (- (+ (* -1 (* x (+ (* -2 (/ (- (* -1 (/ y (fabs (- x y)))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2)))) (fabs (- x y)))) (* 3/2 (/ 1 (fabs (- x y))))))) (* -1 (/ y (fabs (- x y))))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2))))))
(+ (* 1/2 (/ (pow y 2) (fabs (- x y)))) (* x (- (+ (* -1 (/ y (fabs (- x y)))) (* x (- (* -2 (/ (* x (+ (* -2 (/ (- (* -1 (/ y (fabs (- x y)))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2)))) (fabs (- x y)))) (* 3/2 (/ 1 (fabs (- x y)))))) (fabs (- x y)))) (+ (* -2 (/ (- (* -1 (/ y (fabs (- x y)))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2)))) (fabs (- x y)))) (* 3/2 (/ 1 (fabs (- x y)))))))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2))))))
(* -3/4 (pow x 2))
(* -3/4 (pow x 2))
(* -3/4 (pow x 2))
(* -3/4 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
-1
(- (/ x y) 1)
(- (/ x y) 1)
(- (/ x y) 1)
(* 1/2 (fabs (- y x)))
(+ (* -1 x) (* 1/2 (fabs (- y x))))
(+ (* -1 x) (* 1/2 (fabs (- y x))))
(+ (* -1 x) (* 1/2 (fabs (- y x))))
(* (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)))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
(* 3/4 x)
(* x (- (+ 3/4 (* 1/2 (/ y x))) (* -3/8 (/ (fabs (- x y)) x))))
(* x (- (+ 3/4 (+ (* -1/4 (/ (pow y 2) (pow x 2))) (* 1/2 (/ y x)))) (+ (* -1/2 (/ (* (fabs (- x y)) (- (* 1/2 y) (* -3/8 (fabs (- x y))))) (pow x 2))) (* -3/8 (/ (fabs (- x y)) x)))))
(* x (- (+ 3/4 (+ (* -1/4 (/ (pow y 2) (pow x 2))) (+ (* 1/2 (/ y x)) (* 1/2 (/ (* (fabs (- x y)) (- (* -1/4 (pow y 2)) (* -1/2 (* (fabs (- x y)) (- (* 1/2 y) (* -3/8 (fabs (- x y)))))))) (pow x 3)))))) (+ (* -1/2 (/ (* (fabs (- x y)) (- (* 1/2 y) (* -3/8 (fabs (- x y))))) (pow x 2))) (* -3/8 (/ (fabs (- x y)) x)))))
(* 3/4 x)
(* 3/4 x)
(* 3/4 x)
(* 3/4 x)
(* 3/2 x)
(* x (+ 3/2 (* -1/2 (/ y x))))
(* x (+ 3/2 (* -1/2 (/ y x))))
(* x (+ 3/2 (* -1/2 (/ y x))))
(* -1 x)
(* x (- (/ y x) 1))
(* x (- (/ y x) 1))
(* x (- (/ y x) 1))
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
x
(* x (+ 1 (* 1/2 (/ (fabs (- x y)) x))))
(* x (+ 1 (* 1/2 (/ (fabs (- x y)) x))))
(* x (+ 1 (* 1/2 (/ (fabs (- x y)) x))))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* 3/4 x)
(* x (+ 3/4 (* 3/8 (/ (fabs (- y x)) x))))
(* x (- (+ 3/4 (* 3/16 (/ (pow (fabs (- y x)) 2) (pow x 2)))) (* -3/8 (/ (fabs (- y x)) x))))
(* x (- (+ 3/4 (* 3/32 (/ (pow (fabs (- y x)) 3) (pow x 3)))) (+ (* -3/8 (/ (fabs (- y x)) x)) (* -3/16 (/ (pow (fabs (- y x)) 2) (pow x 2))))))
(* 3/4 x)
(* x (- (+ 3/4 (* 1/2 (/ y x))) (* -3/8 (/ (fabs (- x y)) x))))
(* x (- (+ 3/4 (+ (* -1/4 (/ (pow y 2) (pow x 2))) (* 1/2 (/ y x)))) (+ (* -1/2 (/ (* (fabs (- x y)) (- (* 1/2 y) (* -3/8 (fabs (- x y))))) (pow x 2))) (* -3/8 (/ (fabs (- x y)) x)))))
(* x (- (+ 3/4 (+ (* -1/4 (/ (pow y 2) (pow x 2))) (+ (* 1/2 (/ y x)) (* 1/2 (/ (* (fabs (- x y)) (- (* -1/4 (pow y 2)) (* -1/2 (* (fabs (- x y)) (- (* 1/2 y) (* -3/8 (fabs (- x y)))))))) (pow x 3)))))) (+ (* -1/2 (/ (* (fabs (- x y)) (- (* 1/2 y) (* -3/8 (fabs (- x y))))) (pow x 2))) (* -3/8 (/ (fabs (- x y)) x)))))
(* -3/4 (pow x 2))
(* -3/4 (pow x 2))
(* -3/4 (pow x 2))
(* -3/4 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ x y)
(* x (- (/ 1 y) (/ 1 x)))
(* x (- (/ 1 y) (/ 1 x)))
(* x (- (/ 1 y) (/ 1 x)))
(* -1 x)
(* x (- (* 1/2 (/ (fabs (- y x)) x)) 1))
(* x (- (* 1/2 (/ (fabs (- y x)) x)) 1))
(* x (- (* 1/2 (/ (fabs (- y x)) x)) 1))
(* (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)))))
(fabs (neg (+ y (* -1 x))))
(fabs (neg (+ y (* -1 x))))
(fabs (neg (+ y (* -1 x))))
(fabs (neg (+ y (* -1 x))))
(* 3/4 x)
(* -1 (* x (- (* -1 (/ (- (* 1/2 y) (* -3/8 (fabs (neg (+ y (* -1 x)))))) x)) 3/4)))
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (- (* 1/4 (pow y 2)) (* 1/2 (* (fabs (neg (+ y (* -1 x)))) (- (* 1/2 y) (* -3/8 (fabs (neg (+ y (* -1 x))))))))) x)) (* 1/2 y)) (* -3/8 (fabs (neg (+ y (* -1 x)))))) x)) 3/4)))
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* 1/4 (pow y 2)) (* 1/2 (/ (* (fabs (neg (+ y (* -1 x)))) (- (* 1/4 (pow y 2)) (* 1/2 (* (fabs (neg (+ y (* -1 x)))) (- (* 1/2 y) (* -3/8 (fabs (neg (+ y (* -1 x)))))))))) x))) (* 1/2 (* (fabs (neg (+ y (* -1 x)))) (- (* 1/2 y) (* -3/8 (fabs (neg (+ y (* -1 x))))))))) x)) (* 1/2 y)) (* -3/8 (fabs (neg (+ y (* -1 x)))))) x)) 3/4)))
(* 3/4 x)
(* 3/4 x)
(* 3/4 x)
(* 3/4 x)
(* 3/2 x)
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
x
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
x
(* -1 (* x (- (* -1/2 (/ (fabs (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)))
(* 3/4 x)
(* -1 (* x (- (* -3/8 (/ (fabs (+ y (* -1 x))) x)) 3/4)))
(* -1 (* x (- (* -1 (/ (- (* 3/16 (/ (pow (fabs (+ y (* -1 x))) 2) x)) (* -3/8 (fabs (+ y (* -1 x))))) x)) 3/4)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* -3/32 (/ (pow (fabs (+ y (* -1 x))) 3) x)) (* 3/16 (pow (fabs (+ y (* -1 x))) 2))) x)) (* -3/8 (fabs (+ y (* -1 x))))) x)) 3/4)))
(* 3/4 x)
(* -1 (* x (- (* -1 (/ (- (* 1/2 y) (* -3/8 (fabs (neg (+ y (* -1 x)))))) x)) 3/4)))
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (- (* 1/4 (pow y 2)) (* 1/2 (* (fabs (neg (+ y (* -1 x)))) (- (* 1/2 y) (* -3/8 (fabs (neg (+ y (* -1 x))))))))) x)) (* 1/2 y)) (* -3/8 (fabs (neg (+ y (* -1 x)))))) x)) 3/4)))
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* 1/4 (pow y 2)) (* 1/2 (/ (* (fabs (neg (+ y (* -1 x)))) (- (* 1/4 (pow y 2)) (* 1/2 (* (fabs (neg (+ y (* -1 x)))) (- (* 1/2 y) (* -3/8 (fabs (neg (+ y (* -1 x)))))))))) x))) (* 1/2 (* (fabs (neg (+ y (* -1 x)))) (- (* 1/2 y) (* -3/8 (fabs (neg (+ y (* -1 x))))))))) x)) (* 1/2 y)) (* -3/8 (fabs (neg (+ y (* -1 x)))))) x)) 3/4)))
(* -3/4 (pow x 2))
(* -3/4 (pow x 2))
(* -3/4 (pow x 2))
(* -3/4 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ x y)
(* -1 (* x (- (/ 1 x) (/ 1 y))))
(* -1 (* x (- (/ 1 x) (/ 1 y))))
(* -1 (* x (- (/ 1 x) (/ 1 y))))
(* -1 x)
(* -1 (* x (+ 1 (* -1/2 (/ (fabs (+ y (* -1 x))) x)))))
(* -1 (* x (+ 1 (* -1/2 (/ (fabs (+ y (* -1 x))) x)))))
(* -1 (* x (+ 1 (* -1/2 (/ (fabs (+ y (* -1 x))) x)))))

Outputs
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (fabs.f64 (-.f64 y x))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (fabs.f64 (-.f64 y x))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (fabs.f64 (-.f64 y x))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (fabs.f64 (-.f64 y x))))
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)
(*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))
(*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))
(*.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))
(fabs.f64 (-.f64 y x))
(fabs.f64 (-.f64 y x))
(fabs.f64 (-.f64 y x))
(/.f64 (.f64 #s(literal -3/4 binary64) (.f64 x x)) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) (neg.f64 x)))
(fma.f64 (.f64 #s(literal -1/2 binary64) x) (/.f64 y (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) (neg.f64 x))) (/.f64 (.f64 #s(literal -3/4 binary64) (*.f64 x x)) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) (neg.f64 x))))
(fma.f64 (/.f64 y (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) (neg.f64 x))) (fma.f64 #s(literal 1/4 binary64) y (.f64 #s(literal -1/2 binary64) x)) (/.f64 (.f64 #s(literal -3/4 binary64) (*.f64 x x)) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) (neg.f64 x))))
(fma.f64 (/.f64 y (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) (neg.f64 x))) (fma.f64 #s(literal 1/4 binary64) y (.f64 #s(literal -1/2 binary64) x)) (/.f64 (.f64 #s(literal -3/4 binary64) (*.f64 x x)) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) (neg.f64 x))))
(*.f64 #s(literal 3/2 binary64) x)
(fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))
(fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))
(fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))
(neg.f64 x)
(-.f64 y x)
(-.f64 y x)
(-.f64 y x)
x
(-.f64 x y)
(-.f64 x y)
(-.f64 x y)
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)
(fabs.f64 (-.f64 y x))
(fabs.f64 (-.f64 y x))
(fabs.f64 (-.f64 y x))
(fabs.f64 (-.f64 y x))
x
(-.f64 x y)
(-.f64 x y)
(-.f64 x y)
(/.f64 (.f64 #s(literal -3/4 binary64) (.f64 x x)) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) (neg.f64 x)))
(/.f64 (.f64 #s(literal -3/4 binary64) (.f64 x x)) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) (neg.f64 x)))
(/.f64 (.f64 #s(literal -3/4 binary64) (.f64 x x)) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) (neg.f64 x)))
(/.f64 (.f64 #s(literal -3/4 binary64) (.f64 x x)) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) (neg.f64 x)))
(/.f64 (.f64 #s(literal -3/4 binary64) (.f64 x x)) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) (neg.f64 x)))
(fma.f64 (.f64 #s(literal -1/2 binary64) x) (/.f64 y (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) (neg.f64 x))) (/.f64 (.f64 #s(literal -3/4 binary64) (*.f64 x x)) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) (neg.f64 x))))
(fma.f64 (/.f64 y (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) (neg.f64 x))) (fma.f64 #s(literal 1/4 binary64) y (.f64 #s(literal -1/2 binary64) x)) (/.f64 (.f64 #s(literal -3/4 binary64) (*.f64 x x)) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) (neg.f64 x))))
(fma.f64 (/.f64 y (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) (neg.f64 x))) (fma.f64 #s(literal 1/4 binary64) y (.f64 #s(literal -1/2 binary64) x)) (/.f64 (.f64 #s(literal -3/4 binary64) (*.f64 x x)) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) (neg.f64 x))))
(/.f64 x y)
(/.f64 (-.f64 x y) y)
(/.f64 (-.f64 x y) y)
(/.f64 (-.f64 x y) y)
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) (neg.f64 x))
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) (neg.f64 x))
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) (neg.f64 x))
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) (neg.f64 x))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (fabs.f64 (-.f64 y x))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (fabs.f64 (-.f64 y x))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (fabs.f64 (-.f64 y x))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (fabs.f64 (-.f64 y x))))
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)
(*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))
(*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))
(*.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))
(fabs.f64 (-.f64 y x))
(fabs.f64 (-.f64 y x))
(fabs.f64 (-.f64 y x))
(/.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) (neg.f64 x)))
(.f64 (fma.f64 (/.f64 (/.f64 x y) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) (neg.f64 x))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/4 binary64) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) (neg.f64 x)))) (.f64 y y))
(.f64 (fma.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal 1 binary64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) (neg.f64 x))) (fma.f64 (/.f64 #s(literal -1/2 binary64) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) (neg.f64 x))) (/.f64 x y) (/.f64 (.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 y x)) x)))) (*.f64 y y))
(.f64 (fma.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal 1 binary64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) (neg.f64 x))) (fma.f64 (/.f64 #s(literal -1/2 binary64) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) (neg.f64 x))) (/.f64 x y) (/.f64 (.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 y x)) x)))) (*.f64 y y))
(*.f64 #s(literal -1/2 binary64) y)
(*.f64 (fma.f64 #s(literal 3/2 binary64) (/.f64 x y) #s(literal -1/2 binary64)) y)
(*.f64 (fma.f64 #s(literal 3/2 binary64) (/.f64 x y) #s(literal -1/2 binary64)) y)
(*.f64 (fma.f64 #s(literal 3/2 binary64) (/.f64 x y) #s(literal -1/2 binary64)) y)
y
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y)
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y)
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y)
(neg.f64 y)
(*.f64 (/.f64 (-.f64 x y) y) y)
(*.f64 (/.f64 (-.f64 x y) y) y)
(*.f64 (/.f64 (-.f64 x y) y) y)
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)
(fabs.f64 (-.f64 y x))
(fabs.f64 (-.f64 y x))
(fabs.f64 (-.f64 y x))
(fabs.f64 (-.f64 y x))
(neg.f64 y)
(*.f64 (/.f64 (-.f64 x y) y) y)
(*.f64 (/.f64 (-.f64 x y) y) y)
(*.f64 (/.f64 (-.f64 x y) y) y)
(/.f64 (.f64 #s(literal -3/4 binary64) (.f64 x x)) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) (neg.f64 x)))
(/.f64 (.f64 #s(literal -3/4 binary64) (.f64 x x)) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) (neg.f64 x)))
(/.f64 (.f64 #s(literal -3/4 binary64) (.f64 x x)) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) (neg.f64 x)))
(/.f64 (.f64 #s(literal -3/4 binary64) (.f64 x x)) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) (neg.f64 x)))
(/.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) (neg.f64 x)))
(.f64 (fma.f64 (/.f64 (/.f64 x y) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) (neg.f64 x))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/4 binary64) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) (neg.f64 x)))) (.f64 y y))
(.f64 (fma.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal 1 binary64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) (neg.f64 x))) (fma.f64 (/.f64 #s(literal -1/2 binary64) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) (neg.f64 x))) (/.f64 x y) (/.f64 (.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 y x)) x)))) (*.f64 y y))
(.f64 (fma.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal 1 binary64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) (neg.f64 x))) (fma.f64 (/.f64 #s(literal -1/2 binary64) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) (neg.f64 x))) (/.f64 x y) (/.f64 (.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 y x)) x)))) (*.f64 y y))
#s(literal -1 binary64)
(/.f64 (-.f64 x y) y)
(/.f64 (-.f64 x y) y)
(/.f64 (-.f64 x y) y)
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) (neg.f64 x))
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) (neg.f64 x))
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) (neg.f64 x))
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) (neg.f64 x))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (fabs.f64 (-.f64 y x))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (fabs.f64 (-.f64 y x))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (fabs.f64 (-.f64 y x))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (fabs.f64 (-.f64 y x))))
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)
(*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))
(*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))
(*.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))
(fabs.f64 (-.f64 y x))
(fabs.f64 (-.f64 y x))
(fabs.f64 (-.f64 y x))
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(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (fabs.f64 (-.f64 y x)) #s(literal -1 binary64)) x)
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (fabs.f64 (-.f64 y x)) #s(literal -1 binary64)) x)
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (fabs.f64 (-.f64 y x))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (fabs.f64 (-.f64 y x))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (fabs.f64 (-.f64 y x))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (fabs.f64 (-.f64 y x))))
x
(fma.f64 (fabs.f64 (-.f64 y x)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)
(fma.f64 (fabs.f64 (-.f64 y x)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)
(fma.f64 (fabs.f64 (-.f64 y x)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)
(*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))
(*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))
(*.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))
(fabs.f64 (-.f64 y x))
(fabs.f64 (-.f64 y x))
(fabs.f64 (-.f64 y x))
(*.f64 #s(literal 3/4 binary64) x)
(.f64 (+.f64 (/.f64 (fma.f64 #s(literal 3/8 binary64) (fabs.f64 (-.f64 y x)) (.f64 #s(literal 1/2 binary64) y)) x) #s(literal 3/4 binary64)) x)
(.f64 (+.f64 (/.f64 (fma.f64 #s(literal 3/8 binary64) (fabs.f64 (-.f64 y x)) (fma.f64 #s(literal 1/2 binary64) y (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal 3/8 binary64) (fabs.f64 (-.f64 y x)) (.f64 #s(literal 1/2 binary64) y)) (fabs.f64 (-.f64 y x))) #s(literal 1/2 binary64) (neg.f64 (.f64 (*.f64 y y) #s(literal 1/4 binary64)))) x))) x) #s(literal 3/4 binary64)) x)
(.f64 (+.f64 (/.f64 (-.f64 (fma.f64 #s(literal 3/8 binary64) (fabs.f64 (-.f64 y x)) (.f64 #s(literal 1/2 binary64) y)) (/.f64 (fma.f64 (.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)) (-.f64 (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal 3/8 binary64) (fabs.f64 (-.f64 y x)) (.f64 #s(literal 1/2 binary64) y))) (fabs.f64 (-.f64 y x)) (.f64 (.f64 y y) #s(literal 1/4 binary64))) x) (fma.f64 #s(literal 3/8 binary64) (fabs.f64 (-.f64 y x)) (.f64 #s(literal 1/2 binary64) y))) (.f64 (.f64 y y) #s(literal 1/4 binary64))) x)) x) #s(literal 3/4 binary64)) x)
(*.f64 #s(literal 3/4 binary64) x)
(*.f64 #s(literal 3/4 binary64) x)
(*.f64 #s(literal 3/4 binary64) x)
(*.f64 #s(literal 3/4 binary64) x)
(*.f64 #s(literal 3/2 binary64) x)
(*.f64 (neg.f64 x) (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) #s(literal -3/2 binary64)))
(*.f64 (neg.f64 x) (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) #s(literal -3/2 binary64)))
(*.f64 (neg.f64 x) (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) #s(literal -3/2 binary64)))
(neg.f64 x)
(*.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x)
(*.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x)
(*.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x)
x
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)
x
(fma.f64 (fabs.f64 (-.f64 y x)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)
(fma.f64 (fabs.f64 (-.f64 y x)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)
(fma.f64 (fabs.f64 (-.f64 y x)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)
(fabs.f64 (-.f64 y x))
(fabs.f64 (-.f64 y x))
(fabs.f64 (-.f64 y x))
(fabs.f64 (-.f64 y x))
x
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)
(*.f64 #s(literal 3/4 binary64) x)
(*.f64 (fma.f64 #s(literal 3/8 binary64) (/.f64 (fabs.f64 (-.f64 y x)) x) #s(literal 3/4 binary64)) x)
(.f64 (+.f64 (/.f64 (fma.f64 #s(literal 3/8 binary64) (fabs.f64 (-.f64 y x)) (.f64 (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) (/.f64 #s(literal 3/16 binary64) x))) x) #s(literal 3/4 binary64)) x)
(.f64 (+.f64 (/.f64 (fma.f64 #s(literal 3/8 binary64) (fabs.f64 (-.f64 y x)) (/.f64 (fma.f64 (/.f64 (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 3 binary64)) x) #s(literal -3/32 binary64) (.f64 #s(literal -3/16 binary64) (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))) (neg.f64 x))) x) #s(literal 3/4 binary64)) x)
(*.f64 #s(literal 3/4 binary64) x)
(.f64 (+.f64 (/.f64 (fma.f64 #s(literal 3/8 binary64) (fabs.f64 (-.f64 y x)) (.f64 #s(literal 1/2 binary64) y)) x) #s(literal 3/4 binary64)) x)
(.f64 (+.f64 (/.f64 (fma.f64 #s(literal 3/8 binary64) (fabs.f64 (-.f64 y x)) (fma.f64 #s(literal 1/2 binary64) y (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal 3/8 binary64) (fabs.f64 (-.f64 y x)) (.f64 #s(literal 1/2 binary64) y)) (fabs.f64 (-.f64 y x))) #s(literal 1/2 binary64) (neg.f64 (.f64 (*.f64 y y) #s(literal 1/4 binary64)))) x))) x) #s(literal 3/4 binary64)) x)
(.f64 (+.f64 (/.f64 (-.f64 (fma.f64 #s(literal 3/8 binary64) (fabs.f64 (-.f64 y x)) (.f64 #s(literal 1/2 binary64) y)) (/.f64 (fma.f64 (.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)) (-.f64 (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal 3/8 binary64) (fabs.f64 (-.f64 y x)) (.f64 #s(literal 1/2 binary64) y))) (fabs.f64 (-.f64 y x)) (.f64 (.f64 y y) #s(literal 1/4 binary64))) x) (fma.f64 #s(literal 3/8 binary64) (fabs.f64 (-.f64 y x)) (.f64 #s(literal 1/2 binary64) y))) (.f64 (.f64 y y) #s(literal 1/4 binary64))) x)) x) #s(literal 3/4 binary64)) x)
(.f64 #s(literal -3/4 binary64) (.f64 x x))
(.f64 #s(literal -3/4 binary64) (.f64 x x))
(.f64 #s(literal -3/4 binary64) (.f64 x x))
(.f64 #s(literal -3/4 binary64) (.f64 x x))
(*.f64 x x)
(*.f64 x x)
(*.f64 x x)
(*.f64 x x)
(/.f64 x y)
(/.f64 (-.f64 x y) y)
(/.f64 (-.f64 x y) y)
(/.f64 (-.f64 x y) y)
(neg.f64 x)
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (fabs.f64 (-.f64 y x)) #s(literal -1 binary64)) x)
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (fabs.f64 (-.f64 y x)) #s(literal -1 binary64)) x)
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (fabs.f64 (-.f64 y x)) #s(literal -1 binary64)) x)

rewrite485.0ms (7%)

Memory

-16.2MiB live, 348.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	195
0	65	184
1	257	176
2	1677	143
0	9101	140

Stop Event

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

Counts

18 → 588

Calls

Call 1

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

Outputs
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eval253.0ms (3.6%)

Memory: 3.1MiB live, 273.0MiB allocated
Compiler: Compiled 39 307 to 2 725 computations (93.1% saved)

prune50.0ms (0.7%)

Memory

4.3MiB live, 78.8MiB allocated

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	1 237	3	1 240
Fresh	6	3	9
Picked	2	3	5
Done	0	1	1
Total	1 245	10	1 255

Accuracy

100.0%

Counts

1 255 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	58.9%	(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)
✓	99.9%	(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
✓	87.9%	(fma.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y))) #s(literal 1/2 binary64) x)
▶	59.9%	(fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x)
✓	11.3%	#s(approx (/ 1 (/ (+ (* 1/2 (fabs (- x y))) (neg x)) (+ (* 1/4 (pow (- x y) 2)) (* (neg x) x)))) (*.f64 #s(literal 3/4 binary64) x))
	59.0%	#s(approx (+ (* (- y x) -1/2) x) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)))
▶	33.1%	#s(approx (+ (* (- y x) -1/2) x) (*.f64 #s(literal 3/2 binary64) x))
▶	28.6%	#s(approx (+ (* (- y x) -1/2) x) (*.f64 #s(literal -1/2 binary64) y))
▶	52.2%	#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (-.f64 y x) #s(literal -1/2 binary64)))
▶	7.8%	#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64)))

Compiler

Compiled 212 to 164 computations (22.6% saved)

simplify40.0ms (0.6%)

Memory

4.4MiB live, 37.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
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	(-.f64 y x)
cost-diff	0	(*.f64 (-.f64 y x) #s(literal -1/2 binary64))
cost-diff	0	#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (-.f64 y x) #s(literal -1/2 binary64)))
cost-diff	0	(*.f64 #s(literal 3/2 binary64) x)
cost-diff	0	#s(approx (+ (* (- y x) -1/2) x) (*.f64 #s(literal 3/2 binary64) x))
cost-diff	0	(*.f64 #s(literal -1/2 binary64) y)
cost-diff	0	#s(approx (+ (* (- y x) -1/2) x) (*.f64 #s(literal -1/2 binary64) y))
cost-diff	0	(neg.f64 y)
cost-diff	0	#s(approx (- x y) (neg.f64 y))
cost-diff	0	(fabs.f64 #s(approx (- x y) (neg.f64 y)))
cost-diff	0	(fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	129
0	40	129
1	57	129
2	71	129
3	109	129
4	188	129
5	264	129
6	391	129
7	642	129
8	725	129
9	806	129
10	838	129
11	850	129
12	855	129
13	857	129
0	857	125

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize79.0ms (1.1%)

Memory

2.5MiB live, 93.5MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0	(neg.f64 x)
accuracy	0	(fabs.f64 #s(approx (- y x) (neg.f64 x)))
accuracy	28.3989921561399	#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64)))
accuracy	32.18397037130742	#s(approx (- y x) (neg.f64 x))
accuracy	0	(-.f64 y x)
accuracy	0	(*.f64 (-.f64 y x) #s(literal -1/2 binary64))
accuracy	30.57370947049568	#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (-.f64 y x) #s(literal -1/2 binary64)))
accuracy	0	(*.f64 #s(literal 3/2 binary64) x)
accuracy	32.20618107118744	#s(approx (+ (* (- y x) -1/2) x) (*.f64 #s(literal 3/2 binary64) x))
accuracy	0	(*.f64 #s(literal -1/2 binary64) y)
accuracy	30.61977117505768	#s(approx (+ (* (- y x) -1/2) x) (*.f64 #s(literal -1/2 binary64) y))
accuracy	0	(neg.f64 y)
accuracy	0	(fabs.f64 #s(approx (- x y) (neg.f64 y)))
accuracy	0.05078125	(fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x)
accuracy	30.58594380846298	#s(approx (- x y) (neg.f64 y))

Samples

34.0ms	240×	0	valid
3.0ms	6×	3	valid
2.0ms	5×	2	valid
1.0ms	5×	1	valid

Compiler

Compiled 219 to 53 computations (75.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-mult: 10.0ms (38.6% of total)

ival-add: 4.0ms (15.4% of total)

ival-sub: 3.0ms (11.6% of total)

ival-fabs: 3.0ms (11.6% of total)

ival-div: 2.0ms (7.7% of total)

ival-neg: 2.0ms (7.7% of total)

adjust: 1.0ms (3.9% of total)

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

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

exact: 0.0ms (0% of total)

series30.0ms (0.4%)

Memory

6.0MiB live, 42.7MiB allocated

Counts

16 → 336

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
14.0ms	x	@	-inf	((+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (neg y) (+ (* (- y x) -1/2) x) (* -1/2 y) (+ (* (- y x) -1/2) x) (* 3/2 x) (+ x (/ (fabs (- y x)) 2)) (* (- y x) -1/2) (- y x) (+ x (/ (fabs (- y x)) 2)) (* (fabs (- y x)) 1/2) (fabs (- y x)) (- y x) (neg x))
1.0ms	y	@	-inf	((+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (neg y) (+ (* (- y x) -1/2) x) (* -1/2 y) (+ (* (- y x) -1/2) x) (* 3/2 x) (+ x (/ (fabs (- y x)) 2)) (* (- y x) -1/2) (- y x) (+ x (/ (fabs (- y x)) 2)) (* (fabs (- y x)) 1/2) (fabs (- y x)) (- y x) (neg x))
1.0ms	y	@	inf	((+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (neg y) (+ (* (- y x) -1/2) x) (* -1/2 y) (+ (* (- y x) -1/2) x) (* 3/2 x) (+ x (/ (fabs (- y x)) 2)) (* (- y x) -1/2) (- y x) (+ x (/ (fabs (- y x)) 2)) (* (fabs (- y x)) 1/2) (fabs (- y x)) (- y x) (neg x))
1.0ms	x	@	inf	((+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (neg y) (+ (* (- y x) -1/2) x) (* -1/2 y) (+ (* (- y x) -1/2) x) (* 3/2 x) (+ x (/ (fabs (- y x)) 2)) (* (- y x) -1/2) (- y x) (+ x (/ (fabs (- y x)) 2)) (* (fabs (- y x)) 1/2) (fabs (- y x)) (- y x) (neg x))
1.0ms	y	@	0	((+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (neg y) (+ (* (- y x) -1/2) x) (* -1/2 y) (+ (* (- y x) -1/2) x) (* 3/2 x) (+ x (/ (fabs (- y x)) 2)) (* (- y x) -1/2) (- y x) (+ x (/ (fabs (- y x)) 2)) (* (fabs (- y x)) 1/2) (fabs (- y x)) (- y x) (neg x))

simplify129.0ms (1.9%)

Memory

-11.3MiB live, 122.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	98	1677
1	272	1605
2	675	1605
3	2338	1569
4	5664	1569
5	7250	1569
0	8022	1470

Stop Event

1×	iter limit
1×	node limit

Counts

336 → 321

Calls

Call 1

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

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

rewrite148.0ms (2.1%)

Memory

5.0MiB live, 194.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	117
0	40	117
1	123	117
2	805	117
0	9144	113

Stop Event

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

Counts

16 → 202

Calls

Call 1

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

Outputs
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eval68.0ms (1%)

Memory: 4.2MiB live, 159.0MiB allocated
Compiler: Compiled 10 601 to 818 computations (92.3% saved)

prune231.0ms (3.3%)

Memory

-16.8MiB live, 109.3MiB allocated

Pruning

10 alts after pruning (2 fresh and 8 done)

	Pruned	Kept	Total
New	522	1	523
Fresh	0	1	1
Picked	0	5	5
Done	1	3	4
Total	523	10	533

Accuracy

100.0%

Counts

533 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	58.9%	(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)
✓	99.9%	(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
✓	87.9%	(fma.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y))) #s(literal 1/2 binary64) x)
✓	59.9%	(fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x)
	59.0%	#s(approx (+ (* (- y x) -1/2) x) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)))
✓	33.1%	#s(approx (+ (* (- y x) -1/2) x) (*.f64 #s(literal 3/2 binary64) x))
✓	28.6%	#s(approx (+ (* (- y x) -1/2) x) (*.f64 #s(literal -1/2 binary64) y))
✓	52.2%	#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (-.f64 y x) #s(literal -1/2 binary64)))
✓	7.8%	#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64)))
	27.4%	#s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (* (- y x) -1/2) (*.f64 #s(literal 1/2 binary64) x)))

Compiler

Compiled 567 to 234 computations (58.7% saved)

regimes33.0ms (0.5%)

Memory

12.4MiB live, 51.7MiB allocated

Counts

28 → 1

Calls

Call 1

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

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

Calls

3 calls:

15.0ms	(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
8.0ms	x
8.0ms	y

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)

regimes93.0ms (1.3%)

Memory

-22.5MiB live, 17.1MiB allocated

Counts

10 → 3

Calls

Call 1

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

Outputs

#s(approx (+ x (/ (fabs (- y x)) 2)) (*.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)

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

Calls

3 calls:

84.0ms	x
4.0ms	(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
4.0ms	y

Results

Accuracy	Segments	Branch
84.6%	3	`x`
76.9%	2	`y`
78.4%	3	`(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))`

Compiler

Compiled 10 to 11 computations (-10% saved)

regimes4.0ms (0.1%)

Memory

9.5MiB live, 9.5MiB allocated

Counts

9 → 3

Calls

Call 1

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

Outputs

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
84.5%	3	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes4.0ms (0.1%)

Memory

8.5MiB live, 8.5MiB allocated

Counts

8 → 3

Calls

Call 1

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

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

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
84.2%	3	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes10.0ms (0.1%)

Memory

11.2MiB live, 11.2MiB allocated

Counts

7 → 2

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
75.7%	2	`(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))`
61.9%	2	`y`
75.7%	2	`x`

Compiler

Compiled 10 to 11 computations (-10% saved)

regimes50.0ms (0.7%)

Memory

-41.9MiB live, 13.8MiB allocated

Counts

6 → 2

Calls

Call 1

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

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

Calls

2 calls:

46.0ms	x
3.0ms	(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
67.7%	2	`x`
54.0%	2	`(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))`

Compiler

Compiled 9 to 9 computations (0% saved)

regimes5.0ms (0.1%)

Memory

8.6MiB live, 8.6MiB allocated

Counts

4 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
50.3%	3	`y`
60.1%	3	`x`

Compiler

Compiled 2 to 4 computations (-100% saved)

regimes5.0ms (0.1%)

Memory

10.2MiB live, 10.2MiB allocated

Counts

2 → 2

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
45.8%	2	`y`
48.2%	2	`(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))`
43.5%	3	`x`

Compiler

Compiled 10 to 11 computations (-10% saved)

regimes4.0ms (0.1%)

Memory

8.9MiB live, 8.9MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
27.4%	1	`x`
27.4%	1	`y`
27.4%	1	`(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))`

Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch53.0ms (0.8%)

Memory

-2.4MiB live, 35.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	59628.84573265262	265211287687.36978
38.0ms	-1.2080833620317765e-163	-2.0133612248391442e-167

Samples

39.0ms	264×	0	valid
1.0ms	6×	1	valid
0.0ms	2×	2	valid

Compiler

Compiled 419 to 369 computations (11.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-fabs: 28.0ms (83.7% of total)

ival-div: 2.0ms (6% of total)

ival-sub: 2.0ms (6% of total)

ival-add: 1.0ms (3% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

bsearch3.0ms (0%)

Memory

3.3MiB live, 3.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	59628.84573265262	265211287687.36978
1.0ms	-1.2080833620317765e-163	-2.0133612248391442e-167

Compiler

Compiled 347 to 315 computations (9.2% saved)

bsearch3.0ms (0%)

Memory

3.5MiB live, 3.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	59628.84573265262	265211287687.36978
1.0ms	-1.2080833620317765e-163	-2.0133612248391442e-167

Compiler

Compiled 432 to 383 computations (11.3% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-9.477877133537705e-216	3.659059142391462e-265

Compiler

Compiled 11 to 12 computations (-9.1% saved)

bsearch52.0ms (0.8%)

Memory

-23.2MiB live, 15.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
51.0ms	4.228788500000106e-20	9.138658103492328e-16

Samples

44.0ms	114×	0	valid
1.0ms	10×	2	valid
0.0ms	4×	1	valid

Compiler

Compiled 211 to 188 computations (10.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

ival-sub: 40.0ms (93.9% of total)

ival-div: 1.0ms (2.3% of total)

ival-add: 1.0ms (2.3% of total)

ival-fabs: 1.0ms (2.3% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

bsearch13.0ms (0.2%)

Memory

17.7MiB live, 17.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	4.228788500000106e-20	9.138658103492328e-16
11.0ms	-6.442390618710323e-186	-6.0899266242930135e-189

Samples

6.0ms

128×

valid

Compiler

Compiled 419 to 364 computations (13.1% saved)

Precisions

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

ival-sub: 1.0ms (34.1% of total)

ival-div: 1.0ms (34.1% of total)

ival-add: 1.0ms (34.1% of total)

ival-fabs: 1.0ms (34.1% of total)

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

exact: 0.0ms (0% of total)

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

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-9.477877133537705e-216	3.659059142391462e-265

Compiler

Compiled 11 to 12 computations (-9.1% saved)

simplify41.0ms (0.6%)

Memory

4.5MiB live, 43.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	304
1	73	304
2	79	304
3	82	304
4	83	304

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 -6224273353321489/4149515568880992958512407863691161151012446232242436899995657329690652811412908146399707048947103794288197886611300789182395151075411775307886874834113963687061181803401509523685376 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) (.f64 (-.f64 y x) #s(literal -1/2 binary64))) (if (<=.f64 x #s(literal 60000 binary64)) (fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x) #s(approx (+ ( (- y x) -1/2) x) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)))))
(if (<=.f64 x #s(literal -6224273353321489/4149515568880992958512407863691161151012446232242436899995657329690652811412908146399707048947103794288197886611300789182395151075411775307886874834113963687061181803401509523685376 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (-.f64 y x) #s(literal -1/2 binary64))) (if (<=.f64 x #s(literal 60000 binary64)) (fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x) (fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)))
(if (<=.f64 x #s(literal -6224273353321489/4149515568880992958512407863691161151012446232242436899995657329690652811412908146399707048947103794288197886611300789182395151075411775307886874834113963687061181803401509523685376 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) (.f64 (-.f64 y x) #s(literal -1/2 binary64))) (if (<=.f64 x #s(literal 60000 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) (.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))) (fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)))
(if (<=.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) #s(literal -7762590461503545/1552518092300708935148979488462502555256886017116696611139052038026050952686376886330878408828646477950487730697131073206171580044114814391444287275041181139204454976020849905550265285631598444825262999193716468750892846853816057856 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (* (- y x) -1/2) (*.f64 #s(literal 1/2 binary64) x))) (fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x))
(if (<=.f64 x #s(literal 3821530487881633/83076749736557242056487941267521536 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) (.f64 (-.f64 y x) #s(literal -1/2 binary64))) #s(approx (+ ( (- y x) -1/2) x) (*.f64 #s(literal 3/2 binary64) x)))
(if (<=.f64 x #s(literal -7593269131518881/1224720827664335609236962600350409901130557945655466490308353887654080091579137561403602952202220552420938147431280980285494456125931768646260680344573194358953094033321469230156313571586348749061881856 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (* (- y x) -1/2) (.f64 #s(literal 1/2 binary64) x))) (if (<=.f64 x #s(literal 3821530487881633/83076749736557242056487941267521536 binary64)) #s(approx (+ ( (- y x) -1/2) x) (.f64 #s(literal -1/2 binary64) y)) #s(approx (+ ( (- y x) -1/2) x) (*.f64 #s(literal 3/2 binary64) x))))
(if (<=.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) #s(literal -7762590461503545/1552518092300708935148979488462502555256886017116696611139052038026050952686376886330878408828646477950487730697131073206171580044114814391444287275041181139204454976020849905550265285631598444825262999193716468750892846853816057856 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (* (- y x) -1/2) (.f64 #s(literal 1/2 binary64) x))) #s(approx (+ ( (- y x) -1/2) x) (*.f64 #s(literal -1/2 binary64) y)))
#s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (* (- y x) -1/2) (*.f64 #s(literal 1/2 binary64) x)))

Outputs
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)
(if (<=.f64 x #s(literal -6224273353321489/4149515568880992958512407863691161151012446232242436899995657329690652811412908146399707048947103794288197886611300789182395151075411775307886874834113963687061181803401509523685376 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) (.f64 #s(literal -1/2 binary64) (-.f64 y x))) (if (<=.f64 x #s(literal 60000 binary64)) (fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x) #s(approx (+ ( (- y x) -1/2) x) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)))))
(if (<=.f64 x #s(literal -6224273353321489/4149515568880992958512407863691161151012446232242436899995657329690652811412908146399707048947103794288197886611300789182395151075411775307886874834113963687061181803401509523685376 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 #s(literal -1/2 binary64) (-.f64 y x))) (if (<=.f64 x #s(literal 60000 binary64)) (fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x) (fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)))
(if (<=.f64 x #s(literal -6224273353321489/4149515568880992958512407863691161151012446232242436899995657329690652811412908146399707048947103794288197886611300789182395151075411775307886874834113963687061181803401509523685376 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) (.f64 #s(literal -1/2 binary64) (-.f64 y x))) (if (<=.f64 x #s(literal 60000 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) (.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))) (fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)))
(if (<=.f64 (+.f64 (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) x) #s(literal -7762590461503545/1552518092300708935148979488462502555256886017116696611139052038026050952686376886330878408828646477950487730697131073206171580044114814391444287275041181139204454976020849905550265285631598444825262999193716468750892846853816057856 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (* (- y x) -1/2) (*.f64 #s(literal 1/2 binary64) x))) (fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x))
(if (<=.f64 x #s(literal 3821530487881633/83076749736557242056487941267521536 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) (.f64 #s(literal -1/2 binary64) (-.f64 y x))) #s(approx (+ ( (- y x) -1/2) x) (*.f64 #s(literal 3/2 binary64) x)))
(if (<=.f64 x #s(literal -7593269131518881/1224720827664335609236962600350409901130557945655466490308353887654080091579137561403602952202220552420938147431280980285494456125931768646260680344573194358953094033321469230156313571586348749061881856 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (* (- y x) -1/2) (.f64 #s(literal 1/2 binary64) x))) (if (<=.f64 x #s(literal 3821530487881633/83076749736557242056487941267521536 binary64)) #s(approx (+ ( (- y x) -1/2) x) (.f64 #s(literal -1/2 binary64) y)) #s(approx (+ ( (- y x) -1/2) x) (*.f64 #s(literal 3/2 binary64) x))))
(if (<=.f64 (+.f64 (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) x) #s(literal -7762590461503545/1552518092300708935148979488462502555256886017116696611139052038026050952686376886330878408828646477950487730697131073206171580044114814391444287275041181139204454976020849905550265285631598444825262999193716468750892846853816057856 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (* (- y x) -1/2) (.f64 #s(literal 1/2 binary64) x))) #s(approx (+ ( (- y x) -1/2) x) (*.f64 #s(literal -1/2 binary64) y)))
#s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (* (- y x) -1/2) (*.f64 #s(literal 1/2 binary64) x)))

soundness1.3s (18.8%)

Memory

-1.1MiB live, 705.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	479
1	115	479
2	264	479
3	775	479
4	2404	479
5	3199	479
6	4230	479
7	5081	479
8	5654	479
9	6142	479
10	7844	479
0	8331	458
0	626	5991
1	1946	5831
2	5752	5781
0	8096	5514
0	98	1677
1	272	1605
2	675	1605
3	2338	1569
4	5664	1569
5	7250	1569
0	8022	1470
0	369	4395
1	1121	4155
2	2977	4016
0	9009	3839
0	36	187
0	63	135
1	254	135
2	1772	123
0	8541	123
0	7	21
0	11	21
1	51	21
2	380	21
3	5345	21
0	8350	20

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

Compiler

Compiled 729 to 420 computations (42.4% saved)

preprocess50.0ms (0.7%)

Memory: 3.6MiB live, 121.9MiB allocated
Compiler: Compiled 624 to 132 computations (78.8% 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	29	129
0	40	129
1	57	129
2	71	129
3	109	129
4	188	129
5	264	129
6	391	129
7	642	129
8	725	129
9	806	129
10	838	129
11	850	129
12	855	129
13	857	129
0	857	125

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	29	129
0	40	129
1	57	129
2	71	129
3	109	129
4	188	129
5	264	129
6	391	129
7	642	129
8	725	129
9	806	129
10	838	129
11	850	129
12	855	129
13	857	129
0	857	125

start0.0ms (0%)

analyze0.0ms (0%)

sample745.0ms (10.7%)

explain87.0ms (1.2%)

preprocess39.0ms (0.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify13.0ms (0.2%)

localize45.0ms (0.6%)

series6.0ms (0.1%)

simplify165.0ms (2.4%)

rewrite190.0ms (2.7%)

eval67.0ms (1%)

prune26.0ms (0.4%)

simplify195.0ms (2.8%)

localize202.0ms (2.9%)

series67.0ms (1%)

simplify222.0ms (3.2%)

rewrite207.0ms (3%)

eval632.0ms (9.1%)

prune83.0ms (1.2%)

simplify107.0ms (1.5%)

localize136.0ms (2%)

series109.0ms (1.6%)

simplify362.0ms (5.2%)

rewrite485.0ms (7%)

eval253.0ms (3.6%)

prune50.0ms (0.7%)

simplify40.0ms (0.6%)

localize79.0ms (1.1%)

series30.0ms (0.4%)

simplify129.0ms (1.9%)

rewrite148.0ms (2.1%)

eval68.0ms (1%)

prune231.0ms (3.3%)

regimes33.0ms (0.5%)

regimes93.0ms (1.3%)

regimes4.0ms (0.1%)

regimes4.0ms (0.1%)

regimes10.0ms (0.1%)

regimes50.0ms (0.7%)

regimes5.0ms (0.1%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

bsearch53.0ms (0.8%)

bsearch3.0ms (0%)

bsearch3.0ms (0%)

bsearch0.0ms (0%)

bsearch52.0ms (0.8%)

bsearch13.0ms (0.2%)

bsearch0.0ms (0%)

simplify41.0ms (0.6%)

soundness1.3s (18.8%)

preprocess50.0ms (0.7%)

end0.0ms (0%)

Profiling

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

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

Iter	Nodes	Cost
0	29	129
0	40	129
1	57	129
2	71	129
3	109	129
4	188	129
5	264	129
6	391	129
7	642	129
8	725	129
9	806	129
10	838	129
11	850	129
12	855	129
13	857	129
0	857	125