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

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 10 to 9 computations (10% saved)

sample1.1s (10.7%)

Memory

-226.3MiB live, 1 323.1MiB allocated

Samples

584.0ms	7 974×	0	valid
12.0ms	95×	2	valid
11.0ms	66×	3	valid
10.0ms	121×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 340.0ms

ival-div: 151.0ms (44.4% of total)

ival-sub: 75.0ms (22% of total)

ival-fabs: 48.0ms (14.1% of total)

ival-add: 45.0ms (13.2% of total)

adjust: 8.0ms (2.4% of total)

ival-true: 6.0ms (1.8% of total)

exact: 5.0ms (1.5% of total)

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

Bogosity

preprocess44.0ms (0.4%)

Memory

4.5MiB live, 82.6MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

explain234.0ms (2.3%)

Memory

-6.6MiB live, 152.3MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	1

Precision?

0/0

Recall?

0/0

Samples

25.0ms	498×	0	valid
1.0ms	6×	2	valid
1.0ms	4×	3	valid
0.0ms	4×	1	valid

Compiler

Compiled 72 to 32 computations (55.6% saved)

Precisions

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

ival-div: 4.0ms (29.9% of total)

ival-sub: 3.0ms (22.4% of total)

ival-fabs: 3.0ms (22.4% of total)

ival-add: 2.0ms (14.9% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))

Compiler

Compiled 10 to 7 computations (30% saved)

simplify18.0ms (0.2%)

Memory

28.7MiB live, 28.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize28.0ms (0.3%)

Memory

-24.6MiB live, 29.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))
✓	accuracy	100.0%	(-.f64 y x)
✓	accuracy	100.0%	(fabs.f64 (-.f64 y x))
✓	accuracy	100.0%	(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))

Samples

12.0ms	249×	0	valid
7.0ms	2×	3	valid
0.0ms	3×	2	valid
0.0ms	2×	1	valid

Compiler

Compiled 26 to 9 computations (65.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-div: 2.0ms (26% of total)

adjust: 1.0ms (13% of total)

ival-sub: 1.0ms (13% of total)

ival-fabs: 1.0ms (13% of total)

ival-add: 1.0ms (13% of total)

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

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

exact: 0.0ms (0% of total)

series4.0ms (0%)

Memory

6.1MiB live, 6.1MiB allocated

Counts

4 → 96

Calls

Call 1

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

Outputs
#<alt (* 1/2 (fabs (- y x)))>
#<alt (* 1/2 (fabs (- y x)))>
#<alt (* 1/2 (fabs (- y x)))>
#<alt (* 1/2 (fabs (- y x)))>
#<alt (* 1/2 (fabs (- y x)))>
#<alt (* 1/2 (fabs (- y x)))>
#<alt (* 1/2 (fabs (- y x)))>
#<alt (* 1/2 (fabs (- y x)))>
#<alt (* 1/2 (fabs (neg (+ x (* -1 y)))))>
#<alt (* 1/2 (fabs (neg (+ x (* -1 y)))))>
#<alt (* 1/2 (fabs (neg (+ x (* -1 y)))))>
#<alt (* 1/2 (fabs (neg (+ x (* -1 y)))))>
#<alt (* 1/2 (fabs (- y x)))>
#<alt (* 1/2 (fabs (- y x)))>
#<alt (* 1/2 (fabs (- y x)))>
#<alt (* 1/2 (fabs (- y x)))>
#<alt (* 1/2 (fabs (- y x)))>
#<alt (* 1/2 (fabs (- y x)))>
#<alt (* 1/2 (fabs (- y x)))>
#<alt (* 1/2 (fabs (- y x)))>
#<alt (* 1/2 (fabs (+ y (* -1 x))))>
#<alt (* 1/2 (fabs (+ y (* -1 x))))>
#<alt (* 1/2 (fabs (+ y (* -1 x))))>
#<alt (* 1/2 (fabs (+ y (* -1 x))))>
#<alt (* 1/2 (fabs (- y x)))>
#<alt (+ x (* 1/2 (fabs (- y x))))>
#<alt (+ x (* 1/2 (fabs (- y x))))>
#<alt (+ x (* 1/2 (fabs (- y x))))>
#<alt x>
#<alt (* x (+ 1 (* 1/2 (/ (fabs (- y x)) x))))>
#<alt (* x (+ 1 (* 1/2 (/ (fabs (- y x)) x))))>
#<alt (* x (+ 1 (* 1/2 (/ (fabs (- y x)) x))))>
#<alt x>
#<alt (* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1)))>
#<alt (* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1)))>
#<alt (* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1)))>
#<alt (+ x (* 1/2 (fabs (- y x))))>
#<alt (+ x (* 1/2 (fabs (- y x))))>
#<alt (+ x (* 1/2 (fabs (- y x))))>
#<alt (+ x (* 1/2 (fabs (- y x))))>
#<alt (+ x (* 1/2 (fabs (- y x))))>
#<alt (+ x (* 1/2 (fabs (- y x))))>
#<alt (+ x (* 1/2 (fabs (- y x))))>
#<alt (+ x (* 1/2 (fabs (- y x))))>
#<alt (+ x (* 1/2 (fabs (neg (+ x (* -1 y))))))>
#<alt (+ x (* 1/2 (fabs (neg (+ x (* -1 y))))))>
#<alt (+ x (* 1/2 (fabs (neg (+ x (* -1 y))))))>
#<alt (+ x (* 1/2 (fabs (neg (+ x (* -1 y))))))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (neg (+ x (* -1 y))))>
#<alt (fabs (neg (+ x (* -1 y))))>
#<alt (fabs (neg (+ x (* -1 y))))>
#<alt (fabs (neg (+ x (* -1 y))))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (+ y (* -1 x)))>
#<alt (fabs (+ y (* -1 x)))>
#<alt (fabs (+ y (* -1 x)))>
#<alt (fabs (+ y (* -1 x)))>
#<alt (* -1 x)>
#<alt (- y x)>
#<alt (- y x)>
#<alt (- y x)>
#<alt y>
#<alt (* y (+ 1 (* -1 (/ x y))))>
#<alt (* y (+ 1 (* -1 (/ x y))))>
#<alt (* y (+ 1 (* -1 (/ x y))))>
#<alt y>
#<alt (* -1 (* y (- (/ x y) 1)))>
#<alt (* -1 (* y (- (/ x y) 1)))>
#<alt (* -1 (* y (- (/ x y) 1)))>
#<alt y>
#<alt (+ y (* -1 x))>
#<alt (+ y (* -1 x))>
#<alt (+ y (* -1 x))>
#<alt (* -1 x)>
#<alt (* x (- (/ y x) 1))>
#<alt (* x (- (/ y x) 1))>
#<alt (* x (- (/ y x) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* -1 (/ y x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ y x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ y x)))))>

Calls

24 calls:

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

simplify272.0ms (2.7%)

Memory

-4.8MiB live, 189.6MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	479
1	115	479
2	264	479
3	775	479
4	2426	479
5	3227	479
6	4255	479
7	5098	479
8	5671	479
9	6159	479
10	7875	479
0	8354	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)))
(* 1/2 (fabs (- y x)))
(* 1/2 (fabs (- y x)))
(* 1/2 (fabs (- y x)))
(* 1/2 (fabs (- 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 (- y 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)))
(* 1/2 (fabs (- y x)))
(* 1/2 (fabs (- y x)))
(* 1/2 (fabs (+ y (* -1 x))))
(* 1/2 (fabs (+ y (* -1 x))))
(* 1/2 (fabs (+ y (* -1 x))))
(* 1/2 (fabs (+ y (* -1 x))))
(* 1/2 (fabs (- y x)))
(+ x (* 1/2 (fabs (- y x))))
(+ x (* 1/2 (fabs (- y x))))
(+ x (* 1/2 (fabs (- y x))))
x
(* x (+ 1 (* 1/2 (/ (fabs (- y x)) x))))
(* x (+ 1 (* 1/2 (/ (fabs (- y x)) x))))
(* x (+ 1 (* 1/2 (/ (fabs (- y x)) x))))
x
(* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1)))
(* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1)))
(* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1)))
(+ x (* 1/2 (fabs (- y x))))
(+ x (* 1/2 (fabs (- y x))))
(+ x (* 1/2 (fabs (- y x))))
(+ x (* 1/2 (fabs (- y x))))
(+ x (* 1/2 (fabs (- y x))))
(+ x (* 1/2 (fabs (- y x))))
(+ x (* 1/2 (fabs (- y x))))
(+ x (* 1/2 (fabs (- y x))))
(+ x (* 1/2 (fabs (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 (- y x))
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
(fabs (neg (+ x (* -1 y))))
(fabs (neg (+ x (* -1 y))))
(fabs (neg (+ x (* -1 y))))
(fabs (neg (+ x (* -1 y))))
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
(fabs (+ y (* -1 x)))
(fabs (+ y (* -1 x)))
(fabs (+ y (* -1 x)))
(fabs (+ y (* -1 x)))
(* -1 x)
(- y x)
(- y x)
(- y x)
y
(* y (+ 1 (* -1 (/ x y))))
(* y (+ 1 (* -1 (/ x y))))
(* y (+ 1 (* -1 (/ x y))))
y
(* -1 (* y (- (/ x y) 1)))
(* -1 (* y (- (/ x y) 1)))
(* -1 (* y (- (/ x y) 1)))
y
(+ y (* -1 x))
(+ y (* -1 x))
(+ y (* -1 x))
(* -1 x)
(* x (- (/ y x) 1))
(* x (- (/ y x) 1))
(* x (- (/ y x) 1))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))

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

rewrite407.0ms (4%)

Memory

0.5MiB live, 274.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

4 → 239

Calls

Call 1

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

Outputs
(exp.f64 (.f64 (neg.f64 (log.f64 (.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (neg.f64 (log.f64 (*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (fabs.f64 (-.f64 y x)) #s(literal -1/2 binary64)))
(neg.f64 (*.f64 (fabs.f64 (-.f64 y x)) #s(literal -1/2 binary64)))
(neg.f64 (.f64 (.f64 (fabs.f64 (-.f64 y x)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))
(/.f64 (neg.f64 (fabs.f64 (-.f64 y x))) #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 y x))))
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 (-.f64 y x))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (fabs.f64 (-.f64 y x))))
(/.f64 (fabs.f64 (fma.f64 y (.f64 y y) (.f64 x (.f64 x x)))) (.f64 #s(literal 2 binary64) (fabs.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)))))
(/.f64 (fabs.f64 (.f64 (-.f64 y x) (+.f64 y x))) (.f64 #s(literal 2 binary64) (fabs.f64 (+.f64 y x))))
(/.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))))) (fabs.f64 (fma.f64 y (+.f64 y x) (*.f64 x x))))
(/.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (.f64 (-.f64 y x) (+.f64 y x)))) (fabs.f64 (+.f64 y x)))
(/.f64 (.f64 (fabs.f64 (fma.f64 y (.f64 y y) (.f64 x (.f64 x x)))) #s(literal 1/2 binary64)) (fabs.f64 (fma.f64 y (+.f64 y x) (*.f64 x x))))
(/.f64 (.f64 (fabs.f64 (.f64 (-.f64 y x) (+.f64 y x))) #s(literal 1/2 binary64)) (fabs.f64 (+.f64 y x)))
(pow.f64 (*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 y x))) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 4 binary64) (*.f64 (-.f64 y x) (-.f64 y x))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))
(.f64 (.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 (neg.f64 (fabs.f64 (-.f64 y x))) #s(literal -1/2 binary64))
(.f64 #s(literal 1 binary64) (.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 (-.f64 y x)))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 (-.f64 y x)))) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 (-.f64 y x))) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (fabs.f64 (-.f64 y x)) #s(literal -1/2 binary64)))
(.f64 #s(literal -1 binary64) (pow.f64 (.f64 (fabs.f64 (-.f64 y x)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal -1/2 binary64) (neg.f64 (fabs.f64 (-.f64 y x))))
(*.f64 #s(literal -1/2 binary64) (pow.f64 (neg.f64 (fabs.f64 (-.f64 y x))) #s(literal 1 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 (-.f64 y x)))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 (-.f64 y x)))) #s(literal 1/2 binary64))
(.f64 (pow.f64 (.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 (fabs.f64 (-.f64 y x))) #s(literal 1 binary64)) #s(literal -1/2 binary64))
(.f64 (pow.f64 (pow.f64 (.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 (-.f64 y x)))) #s(literal -1 binary64)) #s(literal -1/2 binary64))
(.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (fabs.f64 (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fabs.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)))))
(.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (fabs.f64 (.f64 (-.f64 y x) (+.f64 y x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fabs.f64 (+.f64 y x))))
(+.f64 x (*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)))
(+.f64 (*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)) x)
(+.f64 (/.f64 (.f64 x x) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal -1/2 binary64) x)) (neg.f64 (/.f64 (.f64 (*.f64 (-.f64 y x) (-.f64 y x)) #s(literal 1/4 binary64)) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal -1/2 binary64) x))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x))) #s(literal -1 binary64)))
(-.f64 x (*.f64 (fabs.f64 (-.f64 y x)) #s(literal -1/2 binary64)))
(-.f64 (/.f64 (.f64 x x) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal -1/2 binary64) x)) (/.f64 (.f64 (*.f64 (-.f64 y x) (-.f64 y x)) #s(literal 1/4 binary64)) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal -1/2 binary64) x)))
(-.f64 (/.f64 (.f64 (.f64 (-.f64 y x) (-.f64 y x)) #s(literal 1/4 binary64)) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) (neg.f64 x))))
(fma.f64 x #s(literal 1 binary64) (*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)))
(fma.f64 x (/.f64 x (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal -1/2 binary64) x)) (neg.f64 (/.f64 (.f64 (.f64 (-.f64 y x) (-.f64 y x)) #s(literal 1/4 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 (*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)) #s(literal 1 binary64) x)
(fma.f64 (neg.f64 (fabs.f64 (-.f64 y x))) #s(literal -1/2 binary64) x)
(fma.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal -1/2 binary64) x)) (neg.f64 (/.f64 (.f64 (*.f64 (-.f64 y x) (-.f64 y x)) #s(literal 1/4 binary64)) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal -1/2 binary64) x))))
(fma.f64 #s(literal 1 binary64) x (*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)) x)
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x)
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 (-.f64 y x)))) x)
(fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 (-.f64 y x)))) #s(literal 1 binary64)) x)
(fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 (-.f64 y x))) #s(literal 1 binary64)) #s(literal -1 binary64)) x)
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1 binary64) (*.f64 (fabs.f64 (-.f64 y x)) #s(literal -1/2 binary64)) x)
(fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (fabs.f64 (-.f64 y x)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) x)
(fma.f64 #s(literal -1/2 binary64) (neg.f64 (fabs.f64 (-.f64 y x))) x)
(fma.f64 #s(literal -1/2 binary64) (pow.f64 (neg.f64 (fabs.f64 (-.f64 y x))) #s(literal 1 binary64)) x)
(fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 (-.f64 y x)))) #s(literal -1 binary64)) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 (-.f64 y x)))) #s(literal 1/2 binary64) x)
(fma.f64 (pow.f64 (.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) x)
(fma.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 (-.f64 y x) (-.f64 y x)) #s(literal -1/4 binary64) (.f64 x x))) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x) (neg.f64 (/.f64 (.f64 (*.f64 (-.f64 y x) (-.f64 y x)) #s(literal 1/4 binary64)) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal -1/2 binary64) x))))
(fma.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 (fabs.f64 (-.f64 y x)) (.f64 (-.f64 y x) (-.f64 y x))) #s(literal 1/8 binary64) (.f64 x (.f64 x x)))) (fma.f64 x x (.f64 (.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x))) (neg.f64 (/.f64 (.f64 (*.f64 (-.f64 y x) (-.f64 y x)) #s(literal 1/4 binary64)) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal -1/2 binary64) x))))
(fma.f64 (pow.f64 (neg.f64 (fabs.f64 (-.f64 y x))) #s(literal 1 binary64)) #s(literal -1/2 binary64) x)
(fma.f64 (pow.f64 (pow.f64 (.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 (-.f64 y x)))) #s(literal -1 binary64)) #s(literal -1/2 binary64) x)
(fma.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (fabs.f64 (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fabs.f64 (fma.f64 y (+.f64 y x) (.f64 x x)))) x)
(fma.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (fabs.f64 (*.f64 (-.f64 y x) (+.f64 y x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fabs.f64 (+.f64 y x))) x)
(neg.f64 (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x))
(/.f64 (fma.f64 (.f64 (fabs.f64 (-.f64 y x)) (.f64 (-.f64 y x) (-.f64 y x))) #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (fma.f64 x (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal -1/2 binary64) x) (.f64 (.f64 (-.f64 y x) (-.f64 y x)) #s(literal 1/4 binary64))))
(/.f64 (fma.f64 (.f64 (fabs.f64 (-.f64 y x)) (.f64 (-.f64 y x) (-.f64 y x))) #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (neg.f64 (fma.f64 x (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal -1/2 binary64) x) (.f64 (.f64 (-.f64 y x) (-.f64 y x)) #s(literal 1/4 binary64)))))
(/.f64 (fma.f64 (.f64 (fabs.f64 (-.f64 y x)) (.f64 (-.f64 y x) (-.f64 y x))) #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (neg.f64 (neg.f64 (fma.f64 x (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal -1/2 binary64) x) (.f64 (.f64 (-.f64 y x) (-.f64 y x)) #s(literal 1/4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) (neg.f64 x)) (fma.f64 (.f64 (-.f64 y x) (-.f64 y x)) #s(literal 1/4 binary64) (.f64 x (neg.f64 x)))))
(/.f64 (fma.f64 (.f64 (-.f64 y x) (-.f64 y x)) #s(literal -1/4 binary64) (.f64 x x)) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal -1/2 binary64) x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 (fabs.f64 (-.f64 y x)) (.f64 (-.f64 y x) (-.f64 y x))) (.f64 (.f64 (fabs.f64 (-.f64 y x)) (.f64 (-.f64 y x) (-.f64 y x))) (.f64 (fabs.f64 (-.f64 y x)) (.f64 (-.f64 y x) (-.f64 y x))))) #s(literal 1/512 binary64))) (.f64 (fma.f64 x (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal -1/2 binary64) x) (.f64 (.f64 (-.f64 y x) (-.f64 y x)) #s(literal 1/4 binary64))) (fma.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 (fabs.f64 (-.f64 y x)) (.f64 (-.f64 y x) (-.f64 y x))) #s(literal 1/8 binary64)) (-.f64 (.f64 (.f64 (fabs.f64 (-.f64 y x)) (.f64 (-.f64 y x) (-.f64 y x))) #s(literal 1/8 binary64)) (.f64 x (.f64 x x)))))))
(/.f64 (fma.f64 (.f64 (-.f64 y x) (-.f64 y x)) #s(literal 1/4 binary64) (.f64 x (neg.f64 x))) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) (neg.f64 x)))
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eval65.0ms (0.6%)

Memory: 10.8MiB live, 47.7MiB allocated
Compiler: Compiled 7 708 to 909 computations (88.2% saved)

prune43.0ms (0.4%)

Memory

13.6MiB live, 51.8MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

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

Accuracy

100.0%

Counts

331 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.4%	(fma.f64 (pow.f64 (.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) x)
▶	100.0%	(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)
▶	99.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)))
	99.3%	(+.f64 x (pow.f64 (pow.f64 (*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
	36.1%	(+.f64 x (/.f64 (fabs.f64 (/.f64 (-.f64 (.f64 (.f64 y y) (+.f64 y x)) (.f64 (+.f64 y x) (.f64 x x))) (*.f64 (+.f64 y x) (+.f64 y x)))) #s(literal 2 binary64)))
▶	28.9%	(+.f64 x (/.f64 (fabs.f64 (/.f64 (.f64 (fma.f64 y y (.f64 x x)) (.f64 (-.f64 y x) (+.f64 y x))) (.f64 (+.f64 y x) (fma.f64 y y (*.f64 x x))))) #s(literal 2 binary64)))
	99.8%	(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 y x)))))
▶	52.4%	#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))))

Compiler

Compiled 278 to 152 computations (45.3% saved)

simplify484.0ms (4.8%)

Memory

-18.2MiB live, 465.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fabs.f64 (-.f64 y x))
✓	cost-diff	0	(*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))
✓	cost-diff	2240	(fma.f64 (pow.f64 (.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) x)
✓	cost-diff	5824	(pow.f64 (*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
✓	cost-diff	0	(fabs.f64 (/.f64 (.f64 (fma.f64 y y (.f64 x x)) (.f64 (-.f64 y x) (+.f64 y x))) (.f64 (+.f64 y x) (fma.f64 y y (*.f64 x x)))))
✓	cost-diff	128	(+.f64 x (/.f64 (fabs.f64 (/.f64 (.f64 (fma.f64 y y (.f64 x x)) (.f64 (-.f64 y x) (+.f64 y x))) (.f64 (+.f64 y x) (fma.f64 y y (*.f64 x x))))) #s(literal 2 binary64)))
✓	cost-diff	384	(/.f64 (fabs.f64 (/.f64 (.f64 (fma.f64 y y (.f64 x x)) (.f64 (-.f64 y x) (+.f64 y x))) (.f64 (+.f64 y x) (fma.f64 y y (*.f64 x x))))) #s(literal 2 binary64))
✓	cost-diff	3456	(/.f64 (.f64 (fma.f64 y y (.f64 x x)) (.f64 (-.f64 y x) (+.f64 y x))) (.f64 (+.f64 y x) (fma.f64 y y (*.f64 x x))))
✓	cost-diff	0	(fabs.f64 (-.f64 y x))
✓	cost-diff	0	(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x))
✓	cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)))
✓	cost-diff	0	(-.f64 y x)
✓	cost-diff	0	(fabs.f64 (-.f64 y x))
✓	cost-diff	0	(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))
✓	cost-diff	0	#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))))
✓	cost-diff	0	(-.f64 y x)
✓	cost-diff	0	(fabs.f64 (-.f64 y x))
✓	cost-diff	0	(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)

Rules

12 564×	`lower-fma.f32`
12 558×	`lower-fma.f64`
3 684×	`lower-*.f32`
3 672×	`lower-*.f64`
3 028×	`lower-+.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	29	286
0	50	181
1	95	181
2	257	181
3	839	180
4	2702	180
5	7999	180
0	8001	180

Stop Event

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

Calls

Call 1

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

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

localize129.0ms (1.3%)

Memory

6.3MiB live, 203.1MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 y x)
✓	accuracy	100.0%	(*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))
✓	accuracy	100.0%	(fabs.f64 (-.f64 y x))
✓	accuracy	99.4%	(fma.f64 (pow.f64 (.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) x)
✓	accuracy	100.0%	(+.f64 x (/.f64 (fabs.f64 (/.f64 (.f64 (fma.f64 y y (.f64 x x)) (.f64 (-.f64 y x) (+.f64 y x))) (.f64 (+.f64 y x) (fma.f64 y y (*.f64 x x))))) #s(literal 2 binary64)))
✓	accuracy	99.9%	(.f64 (+.f64 y x) (fma.f64 y y (.f64 x x)))
✓	accuracy	99.8%	(.f64 (fma.f64 y y (.f64 x x)) (*.f64 (-.f64 y x) (+.f64 y x)))
✓	accuracy	30.9%	(/.f64 (.f64 (fma.f64 y y (.f64 x x)) (.f64 (-.f64 y x) (+.f64 y x))) (.f64 (+.f64 y x) (fma.f64 y y (*.f64 x x))))
✓	accuracy	100.0%	(fabs.f64 (-.f64 y x))
✓	accuracy	100.0%	(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)))
✓	accuracy	100.0%	(-.f64 y x)
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))
✓	accuracy	100.0%	(fabs.f64 (-.f64 y x))
✓	accuracy	52.4%	#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))))
✓	accuracy	100.0%	(-.f64 y x)
✓	accuracy	100.0%	(fabs.f64 (-.f64 y x))
✓	accuracy	100.0%	(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)

Samples

49.0ms	236×	0	valid
4.0ms	11×	1	valid
3.0ms	4×	3	valid
2.0ms	4×	2	valid
1.0ms	1×	4	valid

Compiler

Compiled 297 to 30 computations (89.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

ival-mult: 15.0ms (37.6% of total)

ival-div: 9.0ms (22.5% of total)

ival-add: 7.0ms (17.5% of total)

ival-fabs: 3.0ms (7.5% of total)

adjust: 2.0ms (5% of total)

ival-sub: 2.0ms (5% of total)

ival-sqrt: 2.0ms (5% of total)

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

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

exact: 0.0ms (0% of total)

series40.0ms (0.4%)

Memory

-23.4MiB live, 23.6MiB allocated

Counts

16 → 384

Calls

Call 1

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

Outputs
#<alt (+ x (* 1/2 (fabs (- y x))))>
#<alt (+ x (* 1/2 (fabs (- y x))))>
#<alt (+ x (* 1/2 (fabs (- y x))))>
#<alt (+ x (* 1/2 (fabs (- y x))))>
#<alt (+ x (* 1/2 (fabs (- y x))))>
#<alt (+ x (* 1/2 (fabs (- y x))))>
#<alt (+ x (* 1/2 (fabs (- y x))))>
#<alt (+ x (* 1/2 (fabs (- y x))))>
#<alt (+ x (* 1/2 (fabs (neg (+ x (* -1 y))))))>
#<alt (+ x (* 1/2 (fabs (neg (+ x (* -1 y))))))>
#<alt (+ x (* 1/2 (fabs (neg (+ x (* -1 y))))))>
#<alt (+ x (* 1/2 (fabs (neg (+ x (* -1 y))))))>
#<alt (* 1/2 (fabs (- y x)))>
#<alt (+ x (* 1/2 (fabs (- y x))))>
#<alt (+ x (* 1/2 (fabs (- y x))))>
#<alt (+ x (* 1/2 (fabs (- y x))))>
#<alt x>
#<alt (* x (+ 1 (* 1/2 (/ (fabs (- y x)) x))))>
#<alt (* x (+ 1 (* 1/2 (/ (fabs (- y x)) x))))>
#<alt (* x (+ 1 (* 1/2 (/ (fabs (- y x)) x))))>
#<alt x>
#<alt (* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1)))>
#<alt (* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1)))>
#<alt (* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1)))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (neg (+ x (* -1 y))))>
#<alt (fabs (neg (+ x (* -1 y))))>
#<alt (fabs (neg (+ x (* -1 y))))>
#<alt (fabs (neg (+ x (* -1 y))))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (+ y (* -1 x)))>
#<alt (fabs (+ y (* -1 x)))>
#<alt (fabs (+ y (* -1 x)))>
#<alt (fabs (+ y (* -1 x)))>
#<alt (* -1 x)>
#<alt (- y x)>
#<alt (- y x)>
#<alt (- y x)>
#<alt y>
#<alt (* y (+ 1 (* -1 (/ x y))))>
#<alt (* y (+ 1 (* -1 (/ x y))))>
#<alt (* y (+ 1 (* -1 (/ x y))))>
#<alt y>
#<alt (* -1 (* y (- (/ x y) 1)))>
#<alt (* -1 (* y (- (/ x y) 1)))>
#<alt (* -1 (* y (- (/ x y) 1)))>
#<alt y>
#<alt (+ y (* -1 x))>
#<alt (+ y (* -1 x))>
#<alt (+ y (* -1 x))>
#<alt (* -1 x)>
#<alt (* x (- (/ y x) 1))>
#<alt (* x (- (/ y x) 1))>
#<alt (* x (- (/ y x) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* -1 (/ y x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ y x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ y x)))))>
#<alt (* 1/2 (fabs (- y x)))>
#<alt (+ x (* 1/2 (fabs (- y x))))>
#<alt (+ x (* 1/2 (fabs (- y x))))>
#<alt (+ x (* 1/2 (fabs (- y x))))>
#<alt x>
#<alt (* x (+ 1 (* 1/2 (/ (fabs (- y x)) x))))>
#<alt (* x (+ 1 (* 1/2 (/ (fabs (- y x)) x))))>
#<alt (* x (+ 1 (* 1/2 (/ (fabs (- y x)) x))))>
#<alt x>
#<alt (* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1)))>
#<alt (* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1)))>
#<alt (* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1)))>
#<alt (+ x (* 1/2 (fabs (- y x))))>
#<alt (+ x (* 1/2 (fabs (- y x))))>
#<alt (+ x (* 1/2 (fabs (- y x))))>
#<alt (+ x (* 1/2 (fabs (- y x))))>
#<alt (+ x (* 1/2 (fabs (- y x))))>
#<alt (+ x (* 1/2 (fabs (- y x))))>
#<alt (+ x (* 1/2 (fabs (- y x))))>
#<alt (+ x (* 1/2 (fabs (- y x))))>
#<alt (+ x (* 1/2 (fabs (neg (+ x (* -1 y))))))>
#<alt (+ x (* 1/2 (fabs (neg (+ x (* -1 y))))))>
#<alt (+ x (* 1/2 (fabs (neg (+ x (* -1 y))))))>
#<alt (+ x (* 1/2 (fabs (neg (+ x (* -1 y))))))>
#<alt (* 1/2 (fabs (- y x)))>
#<alt (* 1/2 (fabs (- y x)))>
#<alt (* 1/2 (fabs (- y x)))>
#<alt (* 1/2 (fabs (- y x)))>
#<alt (* 1/2 (fabs (- y x)))>
#<alt (* 1/2 (fabs (- y x)))>
#<alt (* 1/2 (fabs (- y x)))>
#<alt (* 1/2 (fabs (- y x)))>
#<alt (* 1/2 (fabs (neg (+ x (* -1 y)))))>
#<alt (* 1/2 (fabs (neg (+ x (* -1 y)))))>
#<alt (* 1/2 (fabs (neg (+ x (* -1 y)))))>
#<alt (* 1/2 (fabs (neg (+ x (* -1 y)))))>
#<alt (* 1/2 (fabs (- y x)))>
#<alt (* 1/2 (fabs (- y x)))>
#<alt (* 1/2 (fabs (- y x)))>
#<alt (* 1/2 (fabs (- y x)))>
#<alt (* 1/2 (fabs (- y x)))>
#<alt (* 1/2 (fabs (- y x)))>
#<alt (* 1/2 (fabs (- y x)))>
#<alt (* 1/2 (fabs (- y x)))>
#<alt (* 1/2 (fabs (+ y (* -1 x))))>
#<alt (* 1/2 (fabs (+ y (* -1 x))))>
#<alt (* 1/2 (fabs (+ y (* -1 x))))>
#<alt (* 1/2 (fabs (+ y (* -1 x))))>
#<alt (+ x (* 1/2 (fabs (- y x))))>
#<alt (+ x (* 1/2 (fabs (- y x))))>
#<alt (+ x (* 1/2 (fabs (- y x))))>
#<alt (+ x (* 1/2 (fabs (- y x))))>
#<alt (+ x (* 1/2 (fabs (- y x))))>
#<alt (+ x (* 1/2 (fabs (- y x))))>
#<alt (+ x (* 1/2 (fabs (- y x))))>
#<alt (+ x (* 1/2 (fabs (- y x))))>
#<alt (+ x (* 1/2 (fabs (neg (+ x (* -1 y))))))>
#<alt (+ x (* 1/2 (fabs (neg (+ x (* -1 y))))))>
#<alt (+ x (* 1/2 (fabs (neg (+ x (* -1 y))))))>
#<alt (+ x (* 1/2 (fabs (neg (+ x (* -1 y))))))>
#<alt (* 1/2 (fabs (- y x)))>
#<alt (+ x (* 1/2 (fabs (- y x))))>
#<alt (+ x (* 1/2 (fabs (- y x))))>
#<alt (+ x (* 1/2 (fabs (- y x))))>
#<alt x>
#<alt (* x (+ 1 (* 1/2 (/ (fabs (- y x)) x))))>
#<alt (* x (+ 1 (* 1/2 (/ (fabs (- y x)) x))))>
#<alt (* x (+ 1 (* 1/2 (/ (fabs (- y x)) x))))>
#<alt x>
#<alt (* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1)))>
#<alt (* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1)))>
#<alt (* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1)))>
#<alt (/ 1 (+ x (* 1/2 (fabs (- y x)))))>
#<alt (/ 1 (+ x (* 1/2 (fabs (- y x)))))>
#<alt (/ 1 (+ x (* 1/2 (fabs (- y x)))))>
#<alt (/ 1 (+ x (* 1/2 (fabs (- y x)))))>
#<alt (/ 1 (+ x (* 1/2 (fabs (- y x)))))>
#<alt (/ 1 (+ x (* 1/2 (fabs (- y x)))))>
#<alt (/ 1 (+ x (* 1/2 (fabs (- y x)))))>
#<alt (/ 1 (+ x (* 1/2 (fabs (- y x)))))>
#<alt (/ 1 (+ x (* 1/2 (fabs (neg (+ x (* -1 y)))))))>
#<alt (/ 1 (+ x (* 1/2 (fabs (neg (+ x (* -1 y)))))))>
#<alt (/ 1 (+ x (* 1/2 (fabs (neg (+ x (* -1 y)))))))>
#<alt (/ 1 (+ x (* 1/2 (fabs (neg (+ x (* -1 y)))))))>
#<alt (/ 2 (fabs (- y x)))>
#<alt (+ (* -4 (/ x (pow (fabs (- y x)) 2))) (* 2 (/ 1 (fabs (- y x)))))>
#<alt (+ (* x (- (* 8 (/ x (pow (fabs (- y x)) 3))) (* 4 (/ 1 (pow (fabs (- y x)) 2))))) (* 2 (/ 1 (fabs (- y x)))))>
#<alt (+ (* x (- (* x (+ (* -16 (/ x (pow (fabs (- y x)) 4))) (* 8 (/ 1 (pow (fabs (- y x)) 3))))) (* 4 (/ 1 (pow (fabs (- y x)) 2))))) (* 2 (/ 1 (fabs (- y x)))))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* -1/2 (/ (fabs (- y x)) x))) x)>
#<alt (/ (- (+ 1 (* 1/4 (/ (pow (fabs (- y x)) 2) (pow x 2)))) (* 1/2 (/ (fabs (- y x)) x))) x)>
#<alt (/ (- (+ 1 (* -1/8 (/ (pow (fabs (- y x)) 3) (pow x 3)))) (+ (* -1/4 (/ (pow (fabs (- y x)) 2) (pow x 2))) (* 1/2 (/ (fabs (- y x)) x)))) x)>
#<alt (/ 1 x)>
#<alt (* -1 (/ (- (* 1/2 (/ (fabs (+ y (* -1 x))) x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ (pow (fabs (+ y (* -1 x))) 2) x)) (* 1/2 (fabs (+ y (* -1 x))))) x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (pow (fabs (+ y (* -1 x))) 3) x)) (* 1/4 (pow (fabs (+ y (* -1 x))) 2))) x)) (* 1/2 (fabs (+ y (* -1 x))))) x)) 1) x))>
#<alt (* -1 x)>
#<alt (- y x)>
#<alt (- y x)>
#<alt (- y x)>
#<alt y>
#<alt (* y (+ 1 (* -1 (/ x y))))>
#<alt (* y (+ 1 (* -1 (/ x y))))>
#<alt (* y (+ 1 (* -1 (/ x y))))>
#<alt y>
#<alt (* -1 (* y (- (/ x y) 1)))>
#<alt (* -1 (* y (- (/ x y) 1)))>
#<alt (* -1 (* y (- (/ x y) 1)))>
#<alt y>
#<alt (+ y (* -1 x))>
#<alt (+ y (* -1 x))>
#<alt (+ y (* -1 x))>
#<alt (* -1 x)>
#<alt (* x (- (/ y x) 1))>
#<alt (* x (- (/ y x) 1))>
#<alt (* x (- (/ y x) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* -1 (/ y x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ y x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ y x)))))>
#<alt (* 1/2 (fabs (- y x)))>
#<alt (* 1/2 (fabs (- y x)))>
#<alt (* 1/2 (fabs (- y x)))>
#<alt (* 1/2 (fabs (- y x)))>
#<alt (* 1/2 (fabs (- y x)))>
#<alt (* 1/2 (fabs (- y x)))>
#<alt (* 1/2 (fabs (- y x)))>
#<alt (* 1/2 (fabs (- y x)))>
#<alt (* 1/2 (fabs (* -1 (+ x (* -1 y)))))>
#<alt (* 1/2 (fabs (* -1 (+ x (* -1 y)))))>
#<alt (* 1/2 (fabs (* -1 (+ x (* -1 y)))))>
#<alt (* 1/2 (fabs (* -1 (+ x (* -1 y)))))>
#<alt (* 1/2 (fabs (- y x)))>
#<alt (* 1/2 (fabs (- y x)))>
#<alt (* 1/2 (fabs (- y x)))>
#<alt (* 1/2 (fabs (- y x)))>
#<alt (* 1/2 (fabs (- y x)))>
#<alt (* 1/2 (fabs (- y x)))>
#<alt (* 1/2 (fabs (- y x)))>
#<alt (* 1/2 (fabs (- y x)))>
#<alt (* 1/2 (fabs (+ y (* -1 x))))>
#<alt (* 1/2 (fabs (+ y (* -1 x))))>
#<alt (* 1/2 (fabs (+ y (* -1 x))))>
#<alt (* 1/2 (fabs (+ y (* -1 x))))>
#<alt (* 1/2 (fabs (- y x)))>
#<alt (+ x (* 1/2 (fabs (- y x))))>
#<alt (+ x (* 1/2 (fabs (- y x))))>
#<alt (+ x (* 1/2 (fabs (- y x))))>
#<alt x>
#<alt (* x (+ 1 (* 1/2 (/ (fabs (- y x)) x))))>
#<alt (* x (+ 1 (* 1/2 (/ (fabs (- y x)) x))))>
#<alt (* x (+ 1 (* 1/2 (/ (fabs (- y x)) x))))>
#<alt x>
#<alt (* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1)))>
#<alt (* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1)))>
#<alt (* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1)))>
#<alt (+ x (* 1/2 (fabs (- y x))))>
#<alt (+ x (* 1/2 (fabs (- y x))))>
#<alt (+ x (* 1/2 (fabs (- y x))))>
#<alt (+ x (* 1/2 (fabs (- y x))))>
#<alt (+ x (* 1/2 (fabs (- y x))))>
#<alt (+ x (* 1/2 (fabs (- y x))))>
#<alt (+ x (* 1/2 (fabs (- y x))))>
#<alt (+ x (* 1/2 (fabs (- y x))))>
#<alt (+ x (* 1/2 (fabs (* -1 (+ x (* -1 y))))))>
#<alt (+ x (* 1/2 (fabs (* -1 (+ x (* -1 y))))))>
#<alt (+ x (* 1/2 (fabs (* -1 (+ x (* -1 y))))))>
#<alt (+ x (* 1/2 (fabs (* -1 (+ x (* -1 y))))))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (* -1 (+ x (* -1 y))))>
#<alt (fabs (* -1 (+ x (* -1 y))))>
#<alt (fabs (* -1 (+ x (* -1 y))))>
#<alt (fabs (* -1 (+ x (* -1 y))))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (+ y (* -1 x)))>
#<alt (fabs (+ y (* -1 x)))>
#<alt (fabs (+ y (* -1 x)))>
#<alt (fabs (+ y (* -1 x)))>
#<alt (* (sqrt (fabs (- y x))) (sqrt 1/2))>
#<alt (* (sqrt (fabs (- y x))) (sqrt 1/2))>
#<alt (* (sqrt (fabs (- y x))) (sqrt 1/2))>
#<alt (* (sqrt (fabs (- y x))) (sqrt 1/2))>
#<alt (* (sqrt (fabs (- y x))) (sqrt 1/2))>
#<alt (* (sqrt (fabs (- y x))) (sqrt 1/2))>
#<alt (* (sqrt (fabs (- y x))) (sqrt 1/2))>
#<alt (* (sqrt (fabs (- y x))) (sqrt 1/2))>
#<alt (* (sqrt (fabs (neg (+ x (* -1 y))))) (sqrt 1/2))>
#<alt (* (sqrt (fabs (neg (+ x (* -1 y))))) (sqrt 1/2))>
#<alt (* (sqrt (fabs (neg (+ x (* -1 y))))) (sqrt 1/2))>
#<alt (* (sqrt (fabs (neg (+ x (* -1 y))))) (sqrt 1/2))>
#<alt (* (sqrt (fabs (- y x))) (sqrt 1/2))>
#<alt (* (sqrt (fabs (- y x))) (sqrt 1/2))>
#<alt (* (sqrt (fabs (- y x))) (sqrt 1/2))>
#<alt (* (sqrt (fabs (- y x))) (sqrt 1/2))>
#<alt (* (sqrt (fabs (- y x))) (sqrt 1/2))>
#<alt (* (sqrt (fabs (- y x))) (sqrt 1/2))>
#<alt (* (sqrt (fabs (- y x))) (sqrt 1/2))>
#<alt (* (sqrt (fabs (- y x))) (sqrt 1/2))>
#<alt (* (sqrt (fabs (+ y (* -1 x)))) (sqrt 1/2))>
#<alt (* (sqrt (fabs (+ y (* -1 x)))) (sqrt 1/2))>
#<alt (* (sqrt (fabs (+ y (* -1 x)))) (sqrt 1/2))>
#<alt (* (sqrt (fabs (+ y (* -1 x)))) (sqrt 1/2))>
#<alt (+ x (* (fabs (- y x)) (pow (sqrt 1/2) 2)))>
#<alt (+ x (* (fabs (- y x)) (pow (sqrt 1/2) 2)))>
#<alt (+ x (* (fabs (- y x)) (pow (sqrt 1/2) 2)))>
#<alt (+ x (* (fabs (- y x)) (pow (sqrt 1/2) 2)))>
#<alt (+ x (* (fabs (- y x)) (pow (sqrt 1/2) 2)))>
#<alt (+ x (* (fabs (- y x)) (pow (sqrt 1/2) 2)))>
#<alt (+ x (* (fabs (- y x)) (pow (sqrt 1/2) 2)))>
#<alt (+ x (* (fabs (- y x)) (pow (sqrt 1/2) 2)))>
#<alt (+ x (* (fabs (neg (+ x (* -1 y)))) (pow (sqrt 1/2) 2)))>
#<alt (+ x (* (fabs (neg (+ x (* -1 y)))) (pow (sqrt 1/2) 2)))>
#<alt (+ x (* (fabs (neg (+ x (* -1 y)))) (pow (sqrt 1/2) 2)))>
#<alt (+ x (* (fabs (neg (+ x (* -1 y)))) (pow (sqrt 1/2) 2)))>
#<alt (* (fabs (- y x)) (pow (sqrt 1/2) 2))>
#<alt (+ x (* (fabs (- y x)) (pow (sqrt 1/2) 2)))>
#<alt (+ x (* (fabs (- y x)) (pow (sqrt 1/2) 2)))>
#<alt (+ x (* (fabs (- y x)) (pow (sqrt 1/2) 2)))>
#<alt x>
#<alt (* x (+ 1 (/ (* (fabs (- y x)) (pow (sqrt 1/2) 2)) x)))>
#<alt (* x (+ 1 (/ (* (fabs (- y x)) (pow (sqrt 1/2) 2)) x)))>
#<alt (* x (+ 1 (/ (* (fabs (- y x)) (pow (sqrt 1/2) 2)) x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (* (fabs (+ y (* -1 x))) (pow (sqrt 1/2) 2)) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (* (fabs (+ y (* -1 x))) (pow (sqrt 1/2) 2)) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (* (fabs (+ y (* -1 x))) (pow (sqrt 1/2) 2)) x)) 1)))>
#<alt (* 1/2 (fabs (- y x)))>
#<alt (* 1/2 (fabs (- y x)))>
#<alt (* 1/2 (fabs (- y x)))>
#<alt (* 1/2 (fabs (- y x)))>
#<alt (* 1/2 (fabs (- y x)))>
#<alt (* 1/2 (fabs (- y x)))>
#<alt (* 1/2 (fabs (- y x)))>
#<alt (* 1/2 (fabs (- y x)))>
#<alt (* 1/2 (fabs (neg (+ x (* -1 y)))))>
#<alt (* 1/2 (fabs (neg (+ x (* -1 y)))))>
#<alt (* 1/2 (fabs (neg (+ x (* -1 y)))))>
#<alt (* 1/2 (fabs (neg (+ x (* -1 y)))))>
#<alt (* 1/2 (fabs (- y x)))>
#<alt (* 1/2 (fabs (- y x)))>
#<alt (* 1/2 (fabs (- y x)))>
#<alt (* 1/2 (fabs (- y x)))>
#<alt (* 1/2 (fabs (- y x)))>
#<alt (* 1/2 (fabs (- y x)))>
#<alt (* 1/2 (fabs (- y x)))>
#<alt (* 1/2 (fabs (- y x)))>
#<alt (* 1/2 (fabs (+ y (* -1 x))))>
#<alt (* 1/2 (fabs (+ y (* -1 x))))>
#<alt (* 1/2 (fabs (+ y (* -1 x))))>
#<alt (* 1/2 (fabs (+ y (* -1 x))))>
#<alt (* -1 (pow x 4))>
#<alt (+ (* -1 (pow x 4)) (* y (+ (* -1 (pow x 3)) (pow x 3))))>
#<alt (+ (* -1 (pow x 4)) (* y (+ (* -1 (pow x 3)) (+ (* y (+ (* -1 (pow x 2)) (pow x 2))) (pow x 3)))))>
#<alt (+ (* -1 (pow x 4)) (* y (+ (* -1 (pow x 3)) (+ (* y (+ (* -1 (pow x 2)) (+ (* y (+ x (* -1 x))) (pow x 2)))) (pow x 3)))))>
#<alt (pow y 4)>
#<alt (* (pow y 4) (+ 1 (+ (* -1 (/ x y)) (/ x y))))>
#<alt (* (pow y 4) (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (/ x y) (/ (pow x 2) (pow y 2)))))))>
#<alt (* (pow y 4) (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (* -1 (/ (pow x 3) (pow y 3))) (+ (/ x y) (+ (/ (pow x 2) (pow y 2)) (/ (pow x 3) (pow y 3)))))))))>
#<alt (pow y 4)>
#<alt (* (pow y 4) (+ 1 (+ (* -1 (/ x y)) (/ x y))))>
#<alt (* (pow y 4) (+ 1 (* -1 (/ (+ (* -1 (+ x (* -1 x))) (+ (* -1 (/ (pow x 2) y)) (/ (pow x 2) y))) y))))>
#<alt (* (pow y 4) (+ 1 (* -1 (/ (+ (* -1 (+ x (* -1 x))) (* -1 (/ (+ (* -1 (+ (* -1 (pow x 2)) (pow x 2))) (+ (* -1 (/ (pow x 3) y)) (/ (pow x 3) y))) y))) y))))>
#<alt (pow y 4)>
#<alt (+ (* x (+ (* -1 (pow y 3)) (pow y 3))) (pow y 4))>
#<alt (+ (* x (+ (* -1 (pow y 3)) (+ (* x (+ (* -1 (pow y 2)) (pow y 2))) (pow y 3)))) (pow y 4))>
#<alt (+ (* x (+ (* -1 (pow y 3)) (+ (* x (+ (* -1 (pow y 2)) (+ (* x (+ y (* -1 y))) (pow y 2)))) (pow y 3)))) (pow y 4))>
#<alt (* -1 (pow x 4))>
#<alt (* (pow x 4) (- (+ (* -1 (/ y x)) (/ y x)) 1))>
#<alt (* (pow x 4) (- (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (/ y x) (/ (pow y 2) (pow x 2))))) 1))>
#<alt (* (pow x 4) (- (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (* -1 (/ (pow y 3) (pow x 3))) (+ (/ y x) (+ (/ (pow y 2) (pow x 2)) (/ (pow y 3) (pow x 3))))))) 1))>
#<alt (* -1 (pow x 4))>
#<alt (* (pow x 4) (- (* -1 (/ (+ y (* -1 y)) x)) 1))>
#<alt (* (pow x 4) (- (* -1 (/ (+ y (+ (* -1 y) (* -1 (/ (+ (* -1 (pow y 2)) (pow y 2)) x)))) x)) 1))>
#<alt (* (pow x 4) (- (* -1 (/ (+ y (+ (* -1 y) (* -1 (/ (+ (* -1 (/ (+ (* -1 (pow y 3)) (pow y 3)) x)) (+ (* -1 (pow y 2)) (pow y 2))) x)))) x)) 1))>
#<alt (pow x 3)>
#<alt (+ (* (pow x 2) y) (pow x 3))>
#<alt (+ (* y (+ (* x y) (pow x 2))) (pow x 3))>
#<alt (+ (* y (+ (* y (+ x y)) (pow x 2))) (pow x 3))>
#<alt (pow y 3)>
#<alt (* (pow y 3) (+ 1 (/ x y)))>
#<alt (* (pow y 3) (+ 1 (+ (/ x y) (/ (pow x 2) (pow y 2)))))>
#<alt (* (pow y 3) (+ 1 (+ (/ x y) (+ (/ (pow x 2) (pow y 2)) (/ (pow x 3) (pow y 3))))))>
#<alt (pow y 3)>
#<alt (* -1 (* (pow y 3) (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* (pow y 3) (- (* -1 (/ (+ x (/ (pow x 2) y)) y)) 1)))>
#<alt (* -1 (* (pow y 3) (- (* -1 (/ (+ x (* -1 (/ (+ (* -1 (/ (pow x 3) y)) (* -1 (pow x 2))) y))) y)) 1)))>
#<alt (pow y 3)>
#<alt (+ (* x (pow y 2)) (pow y 3))>
#<alt (+ (* x (+ (* x y) (pow y 2))) (pow y 3))>
#<alt (+ (* x (+ (* x (+ x y)) (pow y 2))) (pow y 3))>
#<alt (pow x 3)>
#<alt (* (pow x 3) (+ 1 (/ y x)))>
#<alt (* (pow x 3) (+ 1 (+ (/ y x) (/ (pow y 2) (pow x 2)))))>
#<alt (* (pow x 3) (+ 1 (+ (/ y x) (+ (/ (pow y 2) (pow x 2)) (/ (pow y 3) (pow x 3))))))>
#<alt (pow x 3)>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ y (/ (pow y 2) x)) x)) 1)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ y (* -1 (/ (+ (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x))) x)) 1)))>

Calls

96 calls:

Time	Variable		Point	Expression
22.0ms	y	@	-inf	(* (+ (* y y) (* x x)) (* (- y x) (+ y x)))
1.0ms	y	@	inf	(+ (* (pow (* (fabs (- y x)) 1/2) 1/2) (pow (* (fabs (- y x)) 1/2) 1/2)) x)
1.0ms	x	@	0	(/ 1 (+ (* (fabs (- y x)) 1/2) x))
1.0ms	y	@	0	(+ (* (pow (* (fabs (- y x)) 1/2) 1/2) (pow (* (fabs (- y x)) 1/2) 1/2)) x)
1.0ms	x	@	0	(* (+ (* y y) (* x x)) (* (- y x) (+ y x)))

simplify397.0ms (3.9%)

Memory

6.7MiB live, 639.1MiB allocated

Algorithm

1×	egg-herbie

Rules

13 840×	`lower-fma.f64`
13 840×	`lower-fma.f32`
5 660×	`lower-+.f64`
5 660×	`lower-+.f32`
3 596×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	347	2937
1	1079	2903
2	3240	2790
0	8214	2642

Stop Event

1×	iter limit
1×	node limit

Counts

384 → 368

Calls

Call 1

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

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

rewrite410.0ms (4%)

Memory

20.3MiB live, 746.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 398×	`lower-/.f32`
4 390×	`lower-/.f64`
3 694×	`lower-fma.f32`
3 688×	`lower-fma.f64`
3 588×	`lower-*.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	220
0	50	114
1	216	107
2	1800	107
0	8188	107

Stop Event

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

Counts

16 → 1 516

Calls

Call 1

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

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

eval498.0ms (4.9%)

Memory: 54.6MiB live, 726.5MiB allocated
Compiler: Compiled 93 594 to 5 877 computations (93.7% saved)

prune424.0ms (4.2%)

Memory

-33.4MiB live, 696.5MiB allocated

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	3 224	7	3 231
Fresh	2	1	3
Picked	3	2	5
Done	0	0	0
Total	3 229	10	3 239

Accuracy

100.0%

Counts

3 239 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.3%	(fma.f64 (pow.f64 (.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (.f64 (sqrt.f64 (fabs.f64 (-.f64 y x))) (sqrt.f64 #s(literal 1/2 binary64))) x)
▶	99.3%	(fma.f64 (*.f64 (sqrt.f64 (fabs.f64 (-.f64 y x))) (sqrt.f64 (fabs.f64 (-.f64 y x)))) #s(literal 1/2 binary64) x)
	99.4%	(fma.f64 (sqrt.f64 (.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))) x)
✓	100.0%	(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)
	52.0%	(fma.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64) x)
	52.0%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64) x)))
▶	99.8%	(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 y x)))))
▶	99.8%	#s(approx (/ 1 (/ 1 (+ (* (fabs (- y x)) 1/2) x))) (fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x))
✓	52.4%	#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))))
▶	7.3%	#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- y x) (neg.f64 x)))))

Compiler

Compiled 240 to 142 computations (40.8% saved)

simplify331.0ms (3.3%)

Memory

1.9MiB live, 280.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	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	(fma.f64 (pow.f64 (.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (.f64 (sqrt.f64 (fabs.f64 (-.f64 y x))) (sqrt.f64 #s(literal 1/2 binary64))) x)
✓	cost-diff	5824	(pow.f64 (*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
✓	cost-diff	0	(fabs.f64 (-.f64 y x))
✓	cost-diff	0	(sqrt.f64 (fabs.f64 (-.f64 y x)))
✓	cost-diff	0	(fma.f64 (*.f64 (sqrt.f64 (fabs.f64 (-.f64 y x))) (sqrt.f64 (fabs.f64 (-.f64 y x)))) #s(literal 1/2 binary64) x)
✓	cost-diff	1920	(*.f64 (sqrt.f64 (fabs.f64 (-.f64 y x))) (sqrt.f64 (fabs.f64 (-.f64 y x))))
✓	cost-diff	0	(fabs.f64 (-.f64 y x))
✓	cost-diff	0	(/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 y x)))
✓	cost-diff	128	(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 y x)))))
✓	cost-diff	1088	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 y x))))
✓	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 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- y x) (neg.f64 x))))
✓	cost-diff	0	#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- y x) (neg.f64 x)))))
✓	cost-diff	0	(fabs.f64 (-.f64 x y))
✓	cost-diff	0	(fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)
✓	cost-diff	0	#s(approx (/ 1 (/ 1 (+ (* (fabs (- y x)) 1/2) x))) (fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x))
✓	cost-diff	1024	(*.f64 (/.f64 #s(literal 1/2 binary64) x) x)

Rules

2 370×	`lower-fma.f32`
2 366×	`lower-fma.f64`
2 276×	`lower-/.f32`
2 270×	`lower-/.f64`
1 962×	`lower-*.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	37	229
0	62	215
1	100	215
2	158	191
3	231	191
4	533	190
5	1651	190
6	3563	190
7	7189	190
0	8083	190

Stop Event

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

Calls

Call 1

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

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

localize146.0ms (1.4%)

Memory

6.3MiB live, 169.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fabs.f64 (-.f64 y x))
✓	accuracy	100.0%	(sqrt.f64 (fabs.f64 (-.f64 y x)))
✓	accuracy	99.4%	(fma.f64 (pow.f64 (.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (.f64 (sqrt.f64 (fabs.f64 (-.f64 y x))) (sqrt.f64 #s(literal 1/2 binary64))) x)
✓	accuracy	99.2%	(*.f64 (sqrt.f64 (fabs.f64 (-.f64 y x))) (sqrt.f64 #s(literal 1/2 binary64)))
✓	accuracy	100.0%	(fabs.f64 (-.f64 y x))
✓	accuracy	100.0%	(sqrt.f64 (fabs.f64 (-.f64 y x)))
✓	accuracy	100.0%	(fma.f64 (*.f64 (sqrt.f64 (fabs.f64 (-.f64 y x))) (sqrt.f64 (fabs.f64 (-.f64 y x)))) #s(literal 1/2 binary64) x)
✓	accuracy	99.2%	(*.f64 (sqrt.f64 (fabs.f64 (-.f64 y x))) (sqrt.f64 (fabs.f64 (-.f64 y x))))
✓	accuracy	100.0%	(fabs.f64 (-.f64 y x))
✓	accuracy	100.0%	(/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 y x)))
✓	accuracy	100.0%	(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 y x)))))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 y x))))
✓	accuracy	100.0%	(neg.f64 x)
✓	accuracy	100.0%	(fabs.f64 #s(approx (- y x) (neg.f64 x)))
✓	accuracy	52.4%	#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- y x) (neg.f64 x)))))
✓	accuracy	52.2%	#s(approx (- y x) (neg.f64 x))
✓	accuracy	100.0%	(fabs.f64 (-.f64 x y))
✓	accuracy	100.0%	#s(approx (/ 1 (/ 1 (+ (* (fabs (- y x)) 1/2) x))) (fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x))
✓	accuracy	100.0%	(fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)
✓	accuracy	99.8%	(*.f64 (/.f64 #s(literal 1/2 binary64) x) x)

Samples

87.0ms	236×	0	valid
5.0ms	11×	1	valid
5.0ms	5×	3	valid
3.0ms	4×	2	valid

Compiler

Compiled 203 to 35 computations (82.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 64.0ms

ival-sqrt: 23.0ms (36% of total)

ival-mult: 13.0ms (20.3% of total)

ival-div: 12.0ms (18.8% of total)

ival-add: 8.0ms (12.5% of total)

ival-sub: 3.0ms (4.7% of total)

ival-fabs: 3.0ms (4.7% of total)

adjust: 2.0ms (3.1% of total)

ival-neg: 1.0ms (1.6% of total)

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

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

exact: 0.0ms (0% of total)

series40.0ms (0.4%)

Memory

-14.0MiB live, 23.2MiB allocated

Counts

20 → 456

Calls

Call 1

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

Outputs
#<alt 1/2>
#<alt 1/2>
#<alt 1/2>
#<alt 1/2>
#<alt 1/2>
#<alt 1/2>
#<alt 1/2>
#<alt 1/2>
#<alt 1/2>
#<alt 1/2>
#<alt 1/2>
#<alt 1/2>
#<alt (+ x (* 1/2 (fabs (- y x))))>
#<alt (+ x (* 1/2 (fabs (- y x))))>
#<alt (+ x (* 1/2 (fabs (- y x))))>
#<alt (+ x (* 1/2 (fabs (- y x))))>
#<alt (+ x (* 1/2 (fabs (- y x))))>
#<alt (+ x (* 1/2 (fabs (- y x))))>
#<alt (+ x (* 1/2 (fabs (- y x))))>
#<alt (+ x (* 1/2 (fabs (- y x))))>
#<alt (+ x (* 1/2 (fabs (neg (+ x (* -1 y))))))>
#<alt (+ x (* 1/2 (fabs (neg (+ x (* -1 y))))))>
#<alt (+ x (* 1/2 (fabs (neg (+ x (* -1 y))))))>
#<alt (+ x (* 1/2 (fabs (neg (+ x (* -1 y))))))>
#<alt (* 1/2 (fabs (- y x)))>
#<alt (+ x (* 1/2 (fabs (- y x))))>
#<alt (+ x (* 1/2 (fabs (- y x))))>
#<alt (+ x (* 1/2 (fabs (- y x))))>
#<alt x>
#<alt (* x (+ 1 (* 1/2 (/ (fabs (- y x)) x))))>
#<alt (* x (+ 1 (* 1/2 (/ (fabs (- y x)) x))))>
#<alt (* x (+ 1 (* 1/2 (/ (fabs (- y x)) x))))>
#<alt x>
#<alt (* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1)))>
#<alt (* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1)))>
#<alt (* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1)))>
#<alt (* 1/2 (fabs (- x y)))>
#<alt (+ x (* 1/2 (fabs (- x y))))>
#<alt (+ x (* 1/2 (fabs (- x y))))>
#<alt (+ x (* 1/2 (fabs (- x y))))>
#<alt x>
#<alt (* x (+ 1 (* 1/2 (/ (fabs (- x y)) x))))>
#<alt (* x (+ 1 (* 1/2 (/ (fabs (- x y)) x))))>
#<alt (* x (+ 1 (* 1/2 (/ (fabs (- x y)) x))))>
#<alt x>
#<alt (* -1 (* x (- (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1)))>
#<alt (* -1 (* x (- (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1)))>
#<alt (* -1 (* x (- (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1)))>
#<alt (+ x (* 1/2 (fabs (- x y))))>
#<alt (+ x (* 1/2 (fabs (- x y))))>
#<alt (+ x (* 1/2 (fabs (- x y))))>
#<alt (+ x (* 1/2 (fabs (- x y))))>
#<alt (+ x (* 1/2 (fabs (- x y))))>
#<alt (+ x (* 1/2 (fabs (- x y))))>
#<alt (+ x (* 1/2 (fabs (- x y))))>
#<alt (+ x (* 1/2 (fabs (- x y))))>
#<alt (+ x (* 1/2 (fabs (+ x (* -1 y)))))>
#<alt (+ x (* 1/2 (fabs (+ x (* -1 y)))))>
#<alt (+ x (* 1/2 (fabs (+ x (* -1 y)))))>
#<alt (+ x (* 1/2 (fabs (+ x (* -1 y)))))>
#<alt (fabs (- x y))>
#<alt (fabs (- x y))>
#<alt (fabs (- x y))>
#<alt (fabs (- x y))>
#<alt (fabs (- x y))>
#<alt (fabs (- x y))>
#<alt (fabs (- x y))>
#<alt (fabs (- x y))>
#<alt (fabs (neg (+ y (* -1 x))))>
#<alt (fabs (neg (+ y (* -1 x))))>
#<alt (fabs (neg (+ y (* -1 x))))>
#<alt (fabs (neg (+ y (* -1 x))))>
#<alt (fabs (- x y))>
#<alt (fabs (- x y))>
#<alt (fabs (- x y))>
#<alt (fabs (- x y))>
#<alt (fabs (- x y))>
#<alt (fabs (- x y))>
#<alt (fabs (- x y))>
#<alt (fabs (- x y))>
#<alt (fabs (+ x (* -1 y)))>
#<alt (fabs (+ x (* -1 y)))>
#<alt (fabs (+ x (* -1 y)))>
#<alt (fabs (+ x (* -1 y)))>
#<alt (* 1/2 (fabs (- y x)))>
#<alt (+ x (* 1/2 (fabs (- y x))))>
#<alt (+ x (* 1/2 (fabs (- y x))))>
#<alt (+ x (* 1/2 (fabs (- y x))))>
#<alt x>
#<alt (* x (+ 1 (* 1/2 (/ (fabs (- y x)) x))))>
#<alt (* x (+ 1 (* 1/2 (/ (fabs (- y x)) x))))>
#<alt (* x (+ 1 (* 1/2 (/ (fabs (- y x)) x))))>
#<alt x>
#<alt (* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1)))>
#<alt (* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1)))>
#<alt (* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1)))>
#<alt (+ x (* 1/2 (fabs (- y x))))>
#<alt (+ x (* 1/2 (fabs (- y x))))>
#<alt (+ x (* 1/2 (fabs (- y x))))>
#<alt (+ x (* 1/2 (fabs (- y x))))>
#<alt (+ x (* 1/2 (fabs (- y x))))>
#<alt (+ x (* 1/2 (fabs (- y x))))>
#<alt (+ x (* 1/2 (fabs (- y x))))>
#<alt (+ x (* 1/2 (fabs (- y x))))>
#<alt (+ x (* 1/2 (fabs (neg (+ x (* -1 y))))))>
#<alt (+ x (* 1/2 (fabs (neg (+ x (* -1 y))))))>
#<alt (+ x (* 1/2 (fabs (neg (+ x (* -1 y))))))>
#<alt (+ x (* 1/2 (fabs (neg (+ x (* -1 y))))))>
#<alt (* 1/2 (fabs (- y x)))>
#<alt (* 1/2 (fabs (- y x)))>
#<alt (* 1/2 (fabs (- y x)))>
#<alt (* 1/2 (fabs (- y x)))>
#<alt (* 1/2 (fabs (- y x)))>
#<alt (* 1/2 (fabs (- y x)))>
#<alt (* 1/2 (fabs (- y x)))>
#<alt (* 1/2 (fabs (- y x)))>
#<alt (* 1/2 (fabs (neg (+ x (* -1 y)))))>
#<alt (* 1/2 (fabs (neg (+ x (* -1 y)))))>
#<alt (* 1/2 (fabs (neg (+ x (* -1 y)))))>
#<alt (* 1/2 (fabs (neg (+ x (* -1 y)))))>
#<alt (* 1/2 (fabs (- y x)))>
#<alt (* 1/2 (fabs (- y x)))>
#<alt (* 1/2 (fabs (- y x)))>
#<alt (* 1/2 (fabs (- y x)))>
#<alt (* 1/2 (fabs (- y x)))>
#<alt (* 1/2 (fabs (- y x)))>
#<alt (* 1/2 (fabs (- y x)))>
#<alt (* 1/2 (fabs (- y x)))>
#<alt (* 1/2 (fabs (+ y (* -1 x))))>
#<alt (* 1/2 (fabs (+ y (* -1 x))))>
#<alt (* 1/2 (fabs (+ y (* -1 x))))>
#<alt (* 1/2 (fabs (+ y (* -1 x))))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (neg (+ x (* -1 y))))>
#<alt (fabs (neg (+ x (* -1 y))))>
#<alt (fabs (neg (+ x (* -1 y))))>
#<alt (fabs (neg (+ x (* -1 y))))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (+ y (* -1 x)))>
#<alt (fabs (+ y (* -1 x)))>
#<alt (fabs (+ y (* -1 x)))>
#<alt (fabs (+ y (* -1 x)))>
#<alt (* -1 x)>
#<alt (- y x)>
#<alt (- y x)>
#<alt (- y x)>
#<alt y>
#<alt (* y (+ 1 (* -1 (/ x y))))>
#<alt (* y (+ 1 (* -1 (/ x y))))>
#<alt (* y (+ 1 (* -1 (/ x y))))>
#<alt y>
#<alt (* -1 (* y (- (/ x y) 1)))>
#<alt (* -1 (* y (- (/ x y) 1)))>
#<alt (* -1 (* y (- (/ x y) 1)))>
#<alt y>
#<alt (+ y (* -1 x))>
#<alt (+ y (* -1 x))>
#<alt (+ y (* -1 x))>
#<alt (* -1 x)>
#<alt (* x (- (/ y x) 1))>
#<alt (* x (- (/ y x) 1))>
#<alt (* x (- (/ y x) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* -1 (/ y x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ y x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ y x)))))>
#<alt (* 1/2 (fabs (- y x)))>
#<alt (* 1/2 (fabs (- y x)))>
#<alt (* 1/2 (fabs (- y x)))>
#<alt (* 1/2 (fabs (- y x)))>
#<alt (* 1/2 (fabs (- y x)))>
#<alt (* 1/2 (fabs (- y x)))>
#<alt (* 1/2 (fabs (- y x)))>
#<alt (* 1/2 (fabs (- y x)))>
#<alt (* 1/2 (fabs (neg (+ x (* -1 y)))))>
#<alt (* 1/2 (fabs (neg (+ x (* -1 y)))))>
#<alt (* 1/2 (fabs (neg (+ x (* -1 y)))))>
#<alt (* 1/2 (fabs (neg (+ x (* -1 y)))))>
#<alt (* 1/2 (fabs (- y x)))>
#<alt (* 1/2 (fabs (- y x)))>
#<alt (* 1/2 (fabs (- y x)))>
#<alt (* 1/2 (fabs (- y x)))>
#<alt (* 1/2 (fabs (- y x)))>
#<alt (* 1/2 (fabs (- y x)))>
#<alt (* 1/2 (fabs (- y x)))>
#<alt (* 1/2 (fabs (- y x)))>
#<alt (* 1/2 (fabs (+ y (* -1 x))))>
#<alt (* 1/2 (fabs (+ y (* -1 x))))>
#<alt (* 1/2 (fabs (+ y (* -1 x))))>
#<alt (* 1/2 (fabs (+ y (* -1 x))))>
#<alt (* 1/2 (fabs (- y x)))>
#<alt (+ x (* 1/2 (fabs (- y x))))>
#<alt (+ x (* 1/2 (fabs (- y x))))>
#<alt (+ x (* 1/2 (fabs (- y x))))>
#<alt x>
#<alt (* x (+ 1 (* 1/2 (/ (fabs (- y x)) x))))>
#<alt (* x (+ 1 (* 1/2 (/ (fabs (- y x)) x))))>
#<alt (* x (+ 1 (* 1/2 (/ (fabs (- y x)) x))))>
#<alt x>
#<alt (* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1)))>
#<alt (* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1)))>
#<alt (* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1)))>
#<alt (+ x (* 1/2 (fabs (- y x))))>
#<alt (+ x (* 1/2 (fabs (- y x))))>
#<alt (+ x (* 1/2 (fabs (- y x))))>
#<alt (+ x (* 1/2 (fabs (- y x))))>
#<alt (+ x (* 1/2 (fabs (- y x))))>
#<alt (+ x (* 1/2 (fabs (- y x))))>
#<alt (+ x (* 1/2 (fabs (- y x))))>
#<alt (+ x (* 1/2 (fabs (- y x))))>
#<alt (+ x (* 1/2 (fabs (neg (+ x (* -1 y))))))>
#<alt (+ x (* 1/2 (fabs (neg (+ x (* -1 y))))))>
#<alt (+ x (* 1/2 (fabs (neg (+ x (* -1 y))))))>
#<alt (+ x (* 1/2 (fabs (neg (+ x (* -1 y))))))>
#<alt (/ 2 (fabs (- y x)))>
#<alt (/ 2 (fabs (- y x)))>
#<alt (/ 2 (fabs (- y x)))>
#<alt (/ 2 (fabs (- y x)))>
#<alt (/ 2 (fabs (- y x)))>
#<alt (/ 2 (fabs (- y x)))>
#<alt (/ 2 (fabs (- y x)))>
#<alt (/ 2 (fabs (- y x)))>
#<alt (/ 2 (fabs (neg (+ x (* -1 y)))))>
#<alt (/ 2 (fabs (neg (+ x (* -1 y)))))>
#<alt (/ 2 (fabs (neg (+ x (* -1 y)))))>
#<alt (/ 2 (fabs (neg (+ x (* -1 y)))))>
#<alt (/ 2 (fabs (- y x)))>
#<alt (/ 2 (fabs (- y x)))>
#<alt (/ 2 (fabs (- y x)))>
#<alt (/ 2 (fabs (- y x)))>
#<alt (/ 2 (fabs (- y x)))>
#<alt (/ 2 (fabs (- y x)))>
#<alt (/ 2 (fabs (- y x)))>
#<alt (/ 2 (fabs (- y x)))>
#<alt (/ 2 (fabs (+ y (* -1 x))))>
#<alt (/ 2 (fabs (+ y (* -1 x))))>
#<alt (/ 2 (fabs (+ y (* -1 x))))>
#<alt (/ 2 (fabs (+ y (* -1 x))))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (neg (+ x (* -1 y))))>
#<alt (fabs (neg (+ x (* -1 y))))>
#<alt (fabs (neg (+ x (* -1 y))))>
#<alt (fabs (neg (+ x (* -1 y))))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (+ y (* -1 x)))>
#<alt (fabs (+ y (* -1 x)))>
#<alt (fabs (+ y (* -1 x)))>
#<alt (fabs (+ y (* -1 x)))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (neg (+ x (* -1 y))))>
#<alt (fabs (neg (+ x (* -1 y))))>
#<alt (fabs (neg (+ x (* -1 y))))>
#<alt (fabs (neg (+ x (* -1 y))))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (+ y (* -1 x)))>
#<alt (fabs (+ y (* -1 x)))>
#<alt (fabs (+ y (* -1 x)))>
#<alt (fabs (+ y (* -1 x)))>
#<alt (+ x (* 1/2 (fabs (- y x))))>
#<alt (+ x (* 1/2 (fabs (- y x))))>
#<alt (+ x (* 1/2 (fabs (- y x))))>
#<alt (+ x (* 1/2 (fabs (- y x))))>
#<alt (+ x (* 1/2 (fabs (- y x))))>
#<alt (+ x (* 1/2 (fabs (- y x))))>
#<alt (+ x (* 1/2 (fabs (- y x))))>
#<alt (+ x (* 1/2 (fabs (- y x))))>
#<alt (+ x (* 1/2 (fabs (neg (+ x (* -1 y))))))>
#<alt (+ x (* 1/2 (fabs (neg (+ x (* -1 y))))))>
#<alt (+ x (* 1/2 (fabs (neg (+ x (* -1 y))))))>
#<alt (+ x (* 1/2 (fabs (neg (+ x (* -1 y))))))>
#<alt (* 1/2 (fabs (- y x)))>
#<alt (+ x (* 1/2 (fabs (- y x))))>
#<alt (+ x (* 1/2 (fabs (- y x))))>
#<alt (+ x (* 1/2 (fabs (- y x))))>
#<alt x>
#<alt (* x (+ 1 (* 1/2 (/ (fabs (- y x)) x))))>
#<alt (* x (+ 1 (* 1/2 (/ (fabs (- y x)) x))))>
#<alt (* x (+ 1 (* 1/2 (/ (fabs (- y x)) x))))>
#<alt x>
#<alt (* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1)))>
#<alt (* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1)))>
#<alt (* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1)))>
#<alt (sqrt (fabs (- y x)))>
#<alt (sqrt (fabs (- y x)))>
#<alt (sqrt (fabs (- y x)))>
#<alt (sqrt (fabs (- y x)))>
#<alt (sqrt (fabs (- y x)))>
#<alt (sqrt (fabs (- y x)))>
#<alt (sqrt (fabs (- y x)))>
#<alt (sqrt (fabs (- y x)))>
#<alt (sqrt (fabs (neg (+ x (* -1 y)))))>
#<alt (sqrt (fabs (neg (+ x (* -1 y)))))>
#<alt (sqrt (fabs (neg (+ x (* -1 y)))))>
#<alt (sqrt (fabs (neg (+ x (* -1 y)))))>
#<alt (sqrt (fabs (- y x)))>
#<alt (sqrt (fabs (- y x)))>
#<alt (sqrt (fabs (- y x)))>
#<alt (sqrt (fabs (- y x)))>
#<alt (sqrt (fabs (- y x)))>
#<alt (sqrt (fabs (- y x)))>
#<alt (sqrt (fabs (- y x)))>
#<alt (sqrt (fabs (- y x)))>
#<alt (sqrt (fabs (+ y (* -1 x))))>
#<alt (sqrt (fabs (+ y (* -1 x))))>
#<alt (sqrt (fabs (+ y (* -1 x))))>
#<alt (sqrt (fabs (+ y (* -1 x))))>
#<alt (* (sqrt (fabs (- y x))) (sqrt 1/2))>
#<alt (* (sqrt (fabs (- y x))) (sqrt 1/2))>
#<alt (* (sqrt (fabs (- y x))) (sqrt 1/2))>
#<alt (* (sqrt (fabs (- y x))) (sqrt 1/2))>
#<alt (* (sqrt (fabs (- y x))) (sqrt 1/2))>
#<alt (* (sqrt (fabs (- y x))) (sqrt 1/2))>
#<alt (* (sqrt (fabs (- y x))) (sqrt 1/2))>
#<alt (* (sqrt (fabs (- y x))) (sqrt 1/2))>
#<alt (* (sqrt (fabs (neg (+ x (* -1 y))))) (sqrt 1/2))>
#<alt (* (sqrt (fabs (neg (+ x (* -1 y))))) (sqrt 1/2))>
#<alt (* (sqrt (fabs (neg (+ x (* -1 y))))) (sqrt 1/2))>
#<alt (* (sqrt (fabs (neg (+ x (* -1 y))))) (sqrt 1/2))>
#<alt (* (sqrt (fabs (- y x))) (sqrt 1/2))>
#<alt (* (sqrt (fabs (- y x))) (sqrt 1/2))>
#<alt (* (sqrt (fabs (- y x))) (sqrt 1/2))>
#<alt (* (sqrt (fabs (- y x))) (sqrt 1/2))>
#<alt (* (sqrt (fabs (- y x))) (sqrt 1/2))>
#<alt (* (sqrt (fabs (- y x))) (sqrt 1/2))>
#<alt (* (sqrt (fabs (- y x))) (sqrt 1/2))>
#<alt (* (sqrt (fabs (- y x))) (sqrt 1/2))>
#<alt (* (sqrt (fabs (+ y (* -1 x)))) (sqrt 1/2))>
#<alt (* (sqrt (fabs (+ y (* -1 x)))) (sqrt 1/2))>
#<alt (* (sqrt (fabs (+ y (* -1 x)))) (sqrt 1/2))>
#<alt (* (sqrt (fabs (+ y (* -1 x)))) (sqrt 1/2))>
#<alt (+ x (* (fabs (- y x)) (pow (sqrt 1/2) 2)))>
#<alt (+ x (* (fabs (- y x)) (pow (sqrt 1/2) 2)))>
#<alt (+ x (* (fabs (- y x)) (pow (sqrt 1/2) 2)))>
#<alt (+ x (* (fabs (- y x)) (pow (sqrt 1/2) 2)))>
#<alt (+ x (* (fabs (- y x)) (pow (sqrt 1/2) 2)))>
#<alt (+ x (* (fabs (- y x)) (pow (sqrt 1/2) 2)))>
#<alt (+ x (* (fabs (- y x)) (pow (sqrt 1/2) 2)))>
#<alt (+ x (* (fabs (- y x)) (pow (sqrt 1/2) 2)))>
#<alt (+ x (* (fabs (neg (+ x (* -1 y)))) (pow (sqrt 1/2) 2)))>
#<alt (+ x (* (fabs (neg (+ x (* -1 y)))) (pow (sqrt 1/2) 2)))>
#<alt (+ x (* (fabs (neg (+ x (* -1 y)))) (pow (sqrt 1/2) 2)))>
#<alt (+ x (* (fabs (neg (+ x (* -1 y)))) (pow (sqrt 1/2) 2)))>
#<alt (* (fabs (- y x)) (pow (sqrt 1/2) 2))>
#<alt (+ x (* (fabs (- y x)) (pow (sqrt 1/2) 2)))>
#<alt (+ x (* (fabs (- y x)) (pow (sqrt 1/2) 2)))>
#<alt (+ x (* (fabs (- y x)) (pow (sqrt 1/2) 2)))>
#<alt x>
#<alt (* x (+ 1 (/ (* (fabs (- y x)) (pow (sqrt 1/2) 2)) x)))>
#<alt (* x (+ 1 (/ (* (fabs (- y x)) (pow (sqrt 1/2) 2)) x)))>
#<alt (* x (+ 1 (/ (* (fabs (- y x)) (pow (sqrt 1/2) 2)) x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (* (fabs (+ y (* -1 x))) (pow (sqrt 1/2) 2)) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (* (fabs (+ y (* -1 x))) (pow (sqrt 1/2) 2)) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (* (fabs (+ y (* -1 x))) (pow (sqrt 1/2) 2)) x)) 1)))>
#<alt (* 1/2 (fabs (- y x)))>
#<alt (* 1/2 (fabs (- y x)))>
#<alt (* 1/2 (fabs (- y x)))>
#<alt (* 1/2 (fabs (- y x)))>
#<alt (* 1/2 (fabs (- y x)))>
#<alt (* 1/2 (fabs (- y x)))>
#<alt (* 1/2 (fabs (- y x)))>
#<alt (* 1/2 (fabs (- y x)))>
#<alt (* 1/2 (fabs (neg (+ x (* -1 y)))))>
#<alt (* 1/2 (fabs (neg (+ x (* -1 y)))))>
#<alt (* 1/2 (fabs (neg (+ x (* -1 y)))))>
#<alt (* 1/2 (fabs (neg (+ x (* -1 y)))))>
#<alt (* 1/2 (fabs (- y x)))>
#<alt (* 1/2 (fabs (- y x)))>
#<alt (* 1/2 (fabs (- y x)))>
#<alt (* 1/2 (fabs (- y x)))>
#<alt (* 1/2 (fabs (- y x)))>
#<alt (* 1/2 (fabs (- y x)))>
#<alt (* 1/2 (fabs (- y x)))>
#<alt (* 1/2 (fabs (- y x)))>
#<alt (* 1/2 (fabs (+ y (* -1 x))))>
#<alt (* 1/2 (fabs (+ y (* -1 x))))>
#<alt (* 1/2 (fabs (+ y (* -1 x))))>
#<alt (* 1/2 (fabs (+ y (* -1 x))))>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* (sqrt (fabs (- y x))) (sqrt 1/2))>
#<alt (* (sqrt (fabs (- y x))) (sqrt 1/2))>
#<alt (* (sqrt (fabs (- y x))) (sqrt 1/2))>
#<alt (* (sqrt (fabs (- y x))) (sqrt 1/2))>
#<alt (* (sqrt (fabs (- y x))) (sqrt 1/2))>
#<alt (* (sqrt (fabs (- y x))) (sqrt 1/2))>
#<alt (* (sqrt (fabs (- y x))) (sqrt 1/2))>
#<alt (* (sqrt (fabs (- y x))) (sqrt 1/2))>
#<alt (* (sqrt (fabs (neg (+ x (* -1 y))))) (sqrt 1/2))>
#<alt (* (sqrt (fabs (neg (+ x (* -1 y))))) (sqrt 1/2))>
#<alt (* (sqrt (fabs (neg (+ x (* -1 y))))) (sqrt 1/2))>
#<alt (* (sqrt (fabs (neg (+ x (* -1 y))))) (sqrt 1/2))>
#<alt (* (sqrt (fabs (- y x))) (sqrt 1/2))>
#<alt (* (sqrt (fabs (- y x))) (sqrt 1/2))>
#<alt (* (sqrt (fabs (- y x))) (sqrt 1/2))>
#<alt (* (sqrt (fabs (- y x))) (sqrt 1/2))>
#<alt (* (sqrt (fabs (- y x))) (sqrt 1/2))>
#<alt (* (sqrt (fabs (- y x))) (sqrt 1/2))>
#<alt (* (sqrt (fabs (- y x))) (sqrt 1/2))>
#<alt (* (sqrt (fabs (- y x))) (sqrt 1/2))>
#<alt (* (sqrt (fabs (+ y (* -1 x)))) (sqrt 1/2))>
#<alt (* (sqrt (fabs (+ y (* -1 x)))) (sqrt 1/2))>
#<alt (* (sqrt (fabs (+ y (* -1 x)))) (sqrt 1/2))>
#<alt (* (sqrt (fabs (+ y (* -1 x)))) (sqrt 1/2))>

Calls

114 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(sqrt (fabs (- y x)))
0.0ms	y	@	-inf	(/ 2 (fabs (- y x)))
0.0ms	x	@	inf	(/ 2 (fabs (- y x)))
0.0ms	y	@	inf	(/ 2 (fabs (- y x)))
0.0ms	x	@	-inf	(/ 2 (fabs (- y x)))

simplify208.0ms (2%)

Memory

35.8MiB live, 269.8MiB allocated

Algorithm

1×	egg-herbie

Rules

2 880×	`lower-*.f64`
2 880×	`lower-*.f32`
2 826×	`lower-fma.f64`
2 826×	`lower-fma.f32`
1 420×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	86	2619
1	207	2619
2	426	2619
3	1276	2619
4	3499	2619
5	4557	2619
6	5561	2619
7	6582	2619
8	7104	2619
9	7733	2619
0	8125	2493

Stop Event

1×	iter limit
1×	node limit

Counts

456 → 441

Calls

Call 1

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

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

rewrite418.0ms (4.1%)

Memory

-47.0MiB live, 616.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 608×	`lower-fma.f32`
6 604×	`lower-fma.f64`
3 914×	`lower-*.f32`
3 906×	`lower-*.f64`
3 452×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	37	184
0	62	142
1	242	142
2	1465	134
0	8488	134

Stop Event

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

Counts

20 → 1 707

Calls

Call 1

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

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

eval462.0ms (4.5%)

Memory: 47.0MiB live, 730.2MiB allocated
Compiler: Compiled 51 344 to 2 790 computations (94.6% saved)

prune300.0ms (2.9%)

Memory

-2.7MiB live, 566.0MiB allocated

Pruning

9 alts after pruning (4 fresh and 5 done)

	Pruned	Kept	Total
New	2 586	2	2 588
Fresh	1	2	3
Picked	2	3	5
Done	0	2	2
Total	2 589	9	2 598

Accuracy

100.0%

Counts

2 598 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	44.7%	(fma.f64 (*.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (-.f64 x y))) #s(literal 1/2 binary64) x)
▶	98.8%	(fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fabs.f64 (-.f64 y x))) (sqrt.f64 #s(literal 1/2 binary64)) x)
✓	100.0%	(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)
▶	52.0%	(fma.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64) x)
▶	52.0%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64) x)))
✓	99.8%	(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 y x)))))
✓	99.8%	#s(approx (/ 1 (/ 1 (+ (* (fabs (- y x)) 1/2) x))) (fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x))
✓	52.4%	#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))))
✓	7.3%	#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- y x) (neg.f64 x)))))

Compiler

Compiled 102 to 65 computations (36.3% saved)

simplify128.0ms (1.3%)

Memory

-15.1MiB live, 96.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 x y)
✓	cost-diff	0	(sqrt.f64 (-.f64 x y))
✓	cost-diff	0	(fma.f64 (*.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (-.f64 x y))) #s(literal 1/2 binary64) x)
✓	cost-diff	1792	(*.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (-.f64 x y)))
✓	cost-diff	0	(sqrt.f64 #s(literal 1/2 binary64))
✓	cost-diff	0	(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fabs.f64 (-.f64 y x)))
✓	cost-diff	128	(fabs.f64 (-.f64 y x))
✓	cost-diff	1600	(fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fabs.f64 (-.f64 y x))) (sqrt.f64 #s(literal 1/2 binary64)) x)
✓	cost-diff	0	(neg.f64 x)
✓	cost-diff	0	#s(approx (- y x) (neg.f64 x))
✓	cost-diff	0	(fabs.f64 #s(approx (- y x) (neg.f64 x)))
✓	cost-diff	0	(fma.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64) x)
✓	cost-diff	0	(fabs.f64 #s(approx (- y x) (neg.f64 x)))
✓	cost-diff	0	(fma.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64) x)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64) x))
✓	cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64) x)))

Rules

1 192×	`lower-fma.f32`
1 186×	`lower-fma.f64`
592×	`lower-*.f32`
588×	`lower-*.f64`
244×	`unsub-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	142
0	37	133
1	60	127
2	101	119
3	155	119
4	286	119
5	457	119
6	718	119
7	1181	119
8	1423	119
9	1533	119
10	1583	119
11	1604	119
12	1634	119
13	1687	119
14	1741	119
15	1799	119
0	1799	119

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize83.0ms (0.8%)

Memory

-17.6MiB live, 202.1MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 x y)
✓	accuracy	100.0%	(sqrt.f64 (-.f64 x y))
✓	accuracy	100.0%	(fma.f64 (*.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (-.f64 x y))) #s(literal 1/2 binary64) x)
✓	accuracy	99.6%	(*.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (-.f64 x y)))
✓	accuracy	100.0%	(sqrt.f64 #s(literal 1/2 binary64))
✓	accuracy	100.0%	(fabs.f64 (-.f64 y x))
✓	accuracy	99.8%	(fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fabs.f64 (-.f64 y x))) (sqrt.f64 #s(literal 1/2 binary64)) x)
✓	accuracy	99.7%	(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fabs.f64 (-.f64 y x)))
✓	accuracy	100.0%	(neg.f64 x)
✓	accuracy	100.0%	(fabs.f64 #s(approx (- y x) (neg.f64 x)))
✓	accuracy	100.0%	(fma.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64) x)
✓	accuracy	81.2%	#s(approx (- y x) (neg.f64 x))
✓	accuracy	100.0%	(fma.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64) x)
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64) x))
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64) x)))
✓	accuracy	81.2%	#s(approx (- y x) (neg.f64 x))

Samples

20.0ms	141×	0	invalid
13.0ms	95×	0	valid
6.0ms	5×	3	valid
3.0ms	11×	1	valid
2.0ms	4×	2	valid

Compiler

Compiled 126 to 22 computations (82.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-mult: 7.0ms (25.9% of total)

ival-sqrt: 4.0ms (14.8% of total)

ival-div: 4.0ms (14.8% of total)

ival-sub: 4.0ms (14.8% of total)

ival-add: 4.0ms (14.8% of total)

ival-fabs: 2.0ms (7.4% of total)

adjust: 1.0ms (3.7% of total)

ival-neg: 1.0ms (3.7% of total)

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

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

exact: 0.0ms (0% of total)

series12.0ms (0.1%)

Memory

28.7MiB live, 28.7MiB allocated

Counts

14 → 300

Calls

Call 1

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

Outputs
#<alt (+ x (* 1/2 (fabs (- y x))))>
#<alt (+ x (* 1/2 (fabs (- y x))))>
#<alt (+ x (* 1/2 (fabs (- y x))))>
#<alt (+ x (* 1/2 (fabs (- y x))))>
#<alt (+ x (* 1/2 (fabs (- y x))))>
#<alt (+ x (* 1/2 (fabs (- y x))))>
#<alt (+ x (* 1/2 (fabs (- y x))))>
#<alt (+ x (* 1/2 (fabs (- y x))))>
#<alt (+ x (* 1/2 (fabs (neg (+ x (* -1 y))))))>
#<alt (+ x (* 1/2 (fabs (neg (+ x (* -1 y))))))>
#<alt (+ x (* 1/2 (fabs (neg (+ x (* -1 y))))))>
#<alt (+ x (* 1/2 (fabs (neg (+ x (* -1 y))))))>
#<alt (* 1/2 (fabs (- y x)))>
#<alt (+ x (* 1/2 (fabs (- y x))))>
#<alt (+ x (* 1/2 (fabs (- y x))))>
#<alt (+ x (* 1/2 (fabs (- y x))))>
#<alt x>
#<alt (* x (+ 1 (* 1/2 (/ (fabs (- y x)) x))))>
#<alt (* x (+ 1 (* 1/2 (/ (fabs (- y x)) x))))>
#<alt (* x (+ 1 (* 1/2 (/ (fabs (- y x)) x))))>
#<alt x>
#<alt (* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1)))>
#<alt (* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1)))>
#<alt (* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1)))>
#<alt (/ 1 (+ x (* 1/2 (fabs (- y x)))))>
#<alt (/ 1 (+ x (* 1/2 (fabs (- y x)))))>
#<alt (/ 1 (+ x (* 1/2 (fabs (- y x)))))>
#<alt (/ 1 (+ x (* 1/2 (fabs (- y x)))))>
#<alt (/ 1 (+ x (* 1/2 (fabs (- y x)))))>
#<alt (/ 1 (+ x (* 1/2 (fabs (- y x)))))>
#<alt (/ 1 (+ x (* 1/2 (fabs (- y x)))))>
#<alt (/ 1 (+ x (* 1/2 (fabs (- y x)))))>
#<alt (/ 1 (+ x (* 1/2 (fabs (neg (+ x (* -1 y)))))))>
#<alt (/ 1 (+ x (* 1/2 (fabs (neg (+ x (* -1 y)))))))>
#<alt (/ 1 (+ x (* 1/2 (fabs (neg (+ x (* -1 y)))))))>
#<alt (/ 1 (+ x (* 1/2 (fabs (neg (+ x (* -1 y)))))))>
#<alt (/ 2 (fabs (- y x)))>
#<alt (+ (* -4 (/ x (pow (fabs (- y x)) 2))) (* 2 (/ 1 (fabs (- y x)))))>
#<alt (+ (* x (- (* 8 (/ x (pow (fabs (- y x)) 3))) (* 4 (/ 1 (pow (fabs (- y x)) 2))))) (* 2 (/ 1 (fabs (- y x)))))>
#<alt (+ (* x (- (* x (+ (* -16 (/ x (pow (fabs (- y x)) 4))) (* 8 (/ 1 (pow (fabs (- y x)) 3))))) (* 4 (/ 1 (pow (fabs (- y x)) 2))))) (* 2 (/ 1 (fabs (- y x)))))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* -1/2 (/ (fabs (- y x)) x))) x)>
#<alt (/ (- (+ 1 (* 1/4 (/ (pow (fabs (- y x)) 2) (pow x 2)))) (* 1/2 (/ (fabs (- y x)) x))) x)>
#<alt (/ (- (+ 1 (* -1/8 (/ (pow (fabs (- y x)) 3) (pow x 3)))) (+ (* -1/4 (/ (pow (fabs (- y x)) 2) (pow x 2))) (* 1/2 (/ (fabs (- y x)) x)))) x)>
#<alt (/ 1 x)>
#<alt (* -1 (/ (- (* 1/2 (/ (fabs (+ y (* -1 x))) x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ (pow (fabs (+ y (* -1 x))) 2) x)) (* 1/2 (fabs (+ y (* -1 x))))) x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (pow (fabs (+ y (* -1 x))) 3) x)) (* 1/4 (pow (fabs (+ y (* -1 x))) 2))) x)) (* 1/2 (fabs (+ y (* -1 x))))) x)) 1) x))>
#<alt (+ x (* 1/2 (fabs (- y x))))>
#<alt (+ x (* 1/2 (fabs (- y x))))>
#<alt (+ x (* 1/2 (fabs (- y x))))>
#<alt (+ x (* 1/2 (fabs (- y x))))>
#<alt (+ x (* 1/2 (fabs (- y x))))>
#<alt (+ x (* 1/2 (fabs (- y x))))>
#<alt (+ x (* 1/2 (fabs (- y x))))>
#<alt (+ x (* 1/2 (fabs (- y x))))>
#<alt (+ x (* 1/2 (fabs (neg (+ x (* -1 y))))))>
#<alt (+ x (* 1/2 (fabs (neg (+ x (* -1 y))))))>
#<alt (+ x (* 1/2 (fabs (neg (+ x (* -1 y))))))>
#<alt (+ x (* 1/2 (fabs (neg (+ x (* -1 y))))))>
#<alt (* 1/2 (fabs (- y x)))>
#<alt (+ x (* 1/2 (fabs (- y x))))>
#<alt (+ x (* 1/2 (fabs (- y x))))>
#<alt (+ x (* 1/2 (fabs (- y x))))>
#<alt x>
#<alt (* x (+ 1 (* 1/2 (/ (fabs (- y x)) x))))>
#<alt (* x (+ 1 (* 1/2 (/ (fabs (- y x)) x))))>
#<alt (* x (+ 1 (* 1/2 (/ (fabs (- y x)) x))))>
#<alt x>
#<alt (* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1)))>
#<alt (* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1)))>
#<alt (* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1)))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (neg (+ x (* -1 y))))>
#<alt (fabs (neg (+ x (* -1 y))))>
#<alt (fabs (neg (+ x (* -1 y))))>
#<alt (fabs (neg (+ x (* -1 y))))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (+ y (* -1 x)))>
#<alt (fabs (+ y (* -1 x)))>
#<alt (fabs (+ y (* -1 x)))>
#<alt (fabs (+ y (* -1 x)))>
#<alt (* -1 x)>
#<alt (- y x)>
#<alt (- y x)>
#<alt (- y x)>
#<alt y>
#<alt (* y (+ 1 (* -1 (/ x y))))>
#<alt (* y (+ 1 (* -1 (/ x y))))>
#<alt (* y (+ 1 (* -1 (/ x y))))>
#<alt y>
#<alt (* -1 (* y (- (/ x y) 1)))>
#<alt (* -1 (* y (- (/ x y) 1)))>
#<alt (* -1 (* y (- (/ x y) 1)))>
#<alt y>
#<alt (+ y (* -1 x))>
#<alt (+ y (* -1 x))>
#<alt (+ y (* -1 x))>
#<alt (* -1 x)>
#<alt (* x (- (/ y x) 1))>
#<alt (* x (- (/ y x) 1))>
#<alt (* x (- (/ y x) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* -1 (/ y x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ y x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ y x)))))>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (+ x (* (fabs (- y x)) (pow (sqrt 1/2) 2)))>
#<alt (+ x (* (fabs (- y x)) (pow (sqrt 1/2) 2)))>
#<alt (+ x (* (fabs (- y x)) (pow (sqrt 1/2) 2)))>
#<alt (+ x (* (fabs (- y x)) (pow (sqrt 1/2) 2)))>
#<alt (+ x (* (fabs (- y x)) (pow (sqrt 1/2) 2)))>
#<alt (+ x (* (fabs (- y x)) (pow (sqrt 1/2) 2)))>
#<alt (+ x (* (fabs (- y x)) (pow (sqrt 1/2) 2)))>
#<alt (+ x (* (fabs (- y x)) (pow (sqrt 1/2) 2)))>
#<alt (+ x (* (fabs (neg (+ x (* -1 y)))) (pow (sqrt 1/2) 2)))>
#<alt (+ x (* (fabs (neg (+ x (* -1 y)))) (pow (sqrt 1/2) 2)))>
#<alt (+ x (* (fabs (neg (+ x (* -1 y)))) (pow (sqrt 1/2) 2)))>
#<alt (+ x (* (fabs (neg (+ x (* -1 y)))) (pow (sqrt 1/2) 2)))>
#<alt (* (fabs (- y x)) (pow (sqrt 1/2) 2))>
#<alt (+ x (* (fabs (- y x)) (pow (sqrt 1/2) 2)))>
#<alt (+ x (* (fabs (- y x)) (pow (sqrt 1/2) 2)))>
#<alt (+ x (* (fabs (- y x)) (pow (sqrt 1/2) 2)))>
#<alt x>
#<alt (* x (+ 1 (/ (* (fabs (- y x)) (pow (sqrt 1/2) 2)) x)))>
#<alt (* x (+ 1 (/ (* (fabs (- y x)) (pow (sqrt 1/2) 2)) x)))>
#<alt (* x (+ 1 (/ (* (fabs (- y x)) (pow (sqrt 1/2) 2)) x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (* (fabs (+ y (* -1 x))) (pow (sqrt 1/2) 2)) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (* (fabs (+ y (* -1 x))) (pow (sqrt 1/2) 2)) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (* (fabs (+ y (* -1 x))) (pow (sqrt 1/2) 2)) x)) 1)))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (neg (+ x (* -1 y))))>
#<alt (fabs (neg (+ x (* -1 y))))>
#<alt (fabs (neg (+ x (* -1 y))))>
#<alt (fabs (neg (+ x (* -1 y))))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (+ y (* -1 x)))>
#<alt (fabs (+ y (* -1 x)))>
#<alt (fabs (+ y (* -1 x)))>
#<alt (fabs (+ y (* -1 x)))>
#<alt (* (fabs (- y x)) (sqrt 1/2))>
#<alt (* (fabs (- y x)) (sqrt 1/2))>
#<alt (* (fabs (- y x)) (sqrt 1/2))>
#<alt (* (fabs (- y x)) (sqrt 1/2))>
#<alt (* (fabs (- y x)) (sqrt 1/2))>
#<alt (* (fabs (- y x)) (sqrt 1/2))>
#<alt (* (fabs (- y x)) (sqrt 1/2))>
#<alt (* (fabs (- y x)) (sqrt 1/2))>
#<alt (* (fabs (neg (+ x (* -1 y)))) (sqrt 1/2))>
#<alt (* (fabs (neg (+ x (* -1 y)))) (sqrt 1/2))>
#<alt (* (fabs (neg (+ x (* -1 y)))) (sqrt 1/2))>
#<alt (* (fabs (neg (+ x (* -1 y)))) (sqrt 1/2))>
#<alt (* (fabs (- y x)) (sqrt 1/2))>
#<alt (* (fabs (- y x)) (sqrt 1/2))>
#<alt (* (fabs (- y x)) (sqrt 1/2))>
#<alt (* (fabs (- y x)) (sqrt 1/2))>
#<alt (* (fabs (- y x)) (sqrt 1/2))>
#<alt (* (fabs (- y x)) (sqrt 1/2))>
#<alt (* (fabs (- y x)) (sqrt 1/2))>
#<alt (* (fabs (- y x)) (sqrt 1/2))>
#<alt (* (fabs (+ y (* -1 x))) (sqrt 1/2))>
#<alt (* (fabs (+ y (* -1 x))) (sqrt 1/2))>
#<alt (* (fabs (+ y (* -1 x))) (sqrt 1/2))>
#<alt (* (fabs (+ y (* -1 x))) (sqrt 1/2))>
#<alt (* -1 y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* -1 (* x (pow (sqrt -1) 2)))>
#<alt (* -1 (* x (+ (* -1 (/ (* y (pow (sqrt -1) 2)) x)) (pow (sqrt -1) 2))))>
#<alt (* -1 (* x (+ (* -1 (/ (* y (pow (sqrt -1) 2)) x)) (pow (sqrt -1) 2))))>
#<alt (* -1 (* x (+ (* -1 (/ (* y (pow (sqrt -1) 2)) x)) (pow (sqrt -1) 2))))>
#<alt x>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (* -1 y)>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1/2 y)>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (* 3/2 x)>
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))>
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))>
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))>
#<alt (* -1 (* x (- (* 1/2 (pow (sqrt -1) 2)) 1)))>
#<alt (* -1 (* x (- (+ (* -1/2 (/ (* y (pow (sqrt -1) 2)) x)) (* 1/2 (pow (sqrt -1) 2))) 1)))>
#<alt (* -1 (* x (- (+ (* -1/2 (/ (* y (pow (sqrt -1) 2)) x)) (* 1/2 (pow (sqrt -1) 2))) 1)))>
#<alt (* -1 (* x (- (+ (* -1/2 (/ (* y (pow (sqrt -1) 2)) x)) (* 1/2 (pow (sqrt -1) 2))) 1)))>
#<alt (+ x (* 1/2 x))>
#<alt (+ x (+ (* -1/2 y) (* 1/2 x)))>
#<alt (+ x (+ (* -1/2 y) (* 1/2 x)))>
#<alt (+ x (+ (* -1/2 y) (* 1/2 x)))>
#<alt (* -1/2 y)>
#<alt (* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))>
#<alt (* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))>
#<alt (* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))>
#<alt (* -1/2 y)>
#<alt (* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))>
#<alt (* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))>
#<alt (* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))>
#<alt (* (sqrt y) (sqrt -1))>
#<alt (+ (* 1/2 (* (/ x (sqrt -1)) (sqrt (/ 1 y)))) (* (sqrt y) (sqrt -1)))>
#<alt (+ (* x (+ (* -1/8 (* (/ x (pow (sqrt -1) 3)) (sqrt (/ 1 (pow y 3))))) (* 1/2 (* (sqrt (/ 1 y)) (/ 1 (sqrt -1)))))) (* (sqrt y) (sqrt -1)))>
#<alt (+ (* x (+ (* 1/2 (* (sqrt (/ 1 y)) (/ 1 (sqrt -1)))) (* x (+ (* -1/8 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (/ x (pow (sqrt -1) 5)) (sqrt (/ 1 (pow y 5))))))))) (* (sqrt y) (sqrt -1)))>
#<alt (sqrt x)>
#<alt (* x (+ (sqrt (/ 1 x)) (* -1/2 (* (sqrt (/ 1 (pow x 3))) y))))>
#<alt (* x (+ (sqrt (/ 1 x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) y)) (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow y 2))))))>
#<alt (* x (+ (sqrt (/ 1 x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) y)) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow y 2))) (* -1/16 (* (sqrt (/ 1 (pow x 7))) (pow y 3)))))))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (pow (sqrt -1) 2)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (pow (sqrt -1) 2)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))>
#<alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (* (pow y 3) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (pow (sqrt -1) 2)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))>
#<alt (sqrt x)>
#<alt (+ (sqrt x) (* -1/2 (* (sqrt (/ 1 x)) y)))>
#<alt (+ (sqrt x) (* y (+ (* -1/2 (sqrt (/ 1 x))) (* -1/8 (* (sqrt (/ 1 (pow x 3))) y)))))>
#<alt (+ (sqrt x) (* y (+ (* -1/2 (sqrt (/ 1 x))) (* y (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* -1/16 (* (sqrt (/ 1 (pow x 5))) y)))))))>
#<alt (* (sqrt y) (sqrt -1))>
#<alt (* y (+ (* 1/2 (* (/ x (sqrt -1)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (sqrt -1))))>
#<alt (* y (+ (* -1/8 (* (/ (pow x 2) (pow (sqrt -1) 3)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/2 (* (/ x (sqrt -1)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (sqrt -1)))))>
#<alt (* y (+ (* -1/8 (* (/ (pow x 2) (pow (sqrt -1) 3)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (/ (pow x 3) (pow (sqrt -1) 5)) (sqrt (/ 1 (pow y 7))))) (+ (* 1/2 (* (/ x (sqrt -1)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (sqrt -1))))))>
#<alt (* -1 (* (sqrt y) (sqrt -1)))>
#<alt (* -1 (* y (+ (* 1/2 (* (* x (sqrt -1)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (sqrt -1)))))>
#<alt (* -1 (* y (+ (* -1/8 (* (* (pow x 2) (sqrt -1)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/2 (* (* x (sqrt -1)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (sqrt -1))))))>
#<alt (* -1 (* y (+ (* -1/8 (* (* (pow x 2) (sqrt -1)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (* (pow x 3) (sqrt -1)) (sqrt (/ 1 (pow y 7))))) (+ (* 1/2 (* (* x (sqrt -1)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (sqrt -1)))))))>
#<alt (* -1 y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt x>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (* -1 y)>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>

Calls

75 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(sqrt (- x y))
1.0ms	y	@	inf	(sqrt (- x y))
1.0ms	y	@	-inf	(sqrt (- x y))
1.0ms	x	@	inf	(sqrt (- x y))
0.0ms	x	@	0	(sqrt (- x y))

simplify502.0ms (4.9%)

Memory

17.9MiB live, 602.7MiB allocated

Algorithm

1×	egg-herbie

Rules

13 504×	`lower-fma.f64`
13 504×	`lower-fma.f32`
5 718×	`lower-*.f64`
5 718×	`lower-*.f32`
3 018×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	326	2532
1	972	2465
2	3034	2443
0	8421	2301

Stop Event

1×	iter limit
1×	node limit

Counts

300 → 286

Calls

Call 1

Inputs
(+ x (* 1/2 (fabs (- y x))))
(+ x (* 1/2 (fabs (- y x))))
(+ x (* 1/2 (fabs (- y x))))
(+ x (* 1/2 (fabs (- y x))))
(+ x (* 1/2 (fabs (- y x))))
(+ x (* 1/2 (fabs (- y x))))
(+ x (* 1/2 (fabs (- y x))))
(+ x (* 1/2 (fabs (- y x))))
(+ x (* 1/2 (fabs (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 (- y x)))
(+ x (* 1/2 (fabs (- y x))))
(+ x (* 1/2 (fabs (- y x))))
(+ x (* 1/2 (fabs (- y x))))
x
(* x (+ 1 (* 1/2 (/ (fabs (- y x)) x))))
(* x (+ 1 (* 1/2 (/ (fabs (- y x)) x))))
(* x (+ 1 (* 1/2 (/ (fabs (- y x)) x))))
x
(* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1)))
(* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1)))
(* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1)))
(/ 1 (+ x (* 1/2 (fabs (- y x)))))
(/ 1 (+ x (* 1/2 (fabs (- y x)))))
(/ 1 (+ x (* 1/2 (fabs (- y x)))))
(/ 1 (+ x (* 1/2 (fabs (- y x)))))
(/ 1 (+ x (* 1/2 (fabs (- y x)))))
(/ 1 (+ x (* 1/2 (fabs (- y x)))))
(/ 1 (+ x (* 1/2 (fabs (- y x)))))
(/ 1 (+ x (* 1/2 (fabs (- y x)))))
(/ 1 (+ x (* 1/2 (fabs (neg (+ x (* -1 y)))))))
(/ 1 (+ x (* 1/2 (fabs (neg (+ x (* -1 y)))))))
(/ 1 (+ x (* 1/2 (fabs (neg (+ x (* -1 y)))))))
(/ 1 (+ x (* 1/2 (fabs (neg (+ x (* -1 y)))))))
(/ 2 (fabs (- y x)))
(+ (* -4 (/ x (pow (fabs (- y x)) 2))) (* 2 (/ 1 (fabs (- y x)))))
(+ (* x (- (* 8 (/ x (pow (fabs (- y x)) 3))) (* 4 (/ 1 (pow (fabs (- y x)) 2))))) (* 2 (/ 1 (fabs (- y x)))))
(+ (* x (- (* x (+ (* -16 (/ x (pow (fabs (- y x)) 4))) (* 8 (/ 1 (pow (fabs (- y x)) 3))))) (* 4 (/ 1 (pow (fabs (- y x)) 2))))) (* 2 (/ 1 (fabs (- y x)))))
(/ 1 x)
(/ (+ 1 (* -1/2 (/ (fabs (- y x)) x))) x)
(/ (- (+ 1 (* 1/4 (/ (pow (fabs (- y x)) 2) (pow x 2)))) (* 1/2 (/ (fabs (- y x)) x))) x)
(/ (- (+ 1 (* -1/8 (/ (pow (fabs (- y x)) 3) (pow x 3)))) (+ (* -1/4 (/ (pow (fabs (- y x)) 2) (pow x 2))) (* 1/2 (/ (fabs (- y x)) x)))) x)
(/ 1 x)
(* -1 (/ (- (* 1/2 (/ (fabs (+ y (* -1 x))) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* 1/4 (/ (pow (fabs (+ y (* -1 x))) 2) x)) (* 1/2 (fabs (+ y (* -1 x))))) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (pow (fabs (+ y (* -1 x))) 3) x)) (* 1/4 (pow (fabs (+ y (* -1 x))) 2))) x)) (* 1/2 (fabs (+ y (* -1 x))))) x)) 1) x))
(+ x (* 1/2 (fabs (- y x))))
(+ x (* 1/2 (fabs (- y x))))
(+ x (* 1/2 (fabs (- y x))))
(+ x (* 1/2 (fabs (- y x))))
(+ x (* 1/2 (fabs (- y x))))
(+ x (* 1/2 (fabs (- y x))))
(+ x (* 1/2 (fabs (- y x))))
(+ x (* 1/2 (fabs (- y x))))
(+ x (* 1/2 (fabs (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 (- y x)))
(+ x (* 1/2 (fabs (- y x))))
(+ x (* 1/2 (fabs (- y x))))
(+ x (* 1/2 (fabs (- y x))))
x
(* x (+ 1 (* 1/2 (/ (fabs (- y x)) x))))
(* x (+ 1 (* 1/2 (/ (fabs (- y x)) x))))
(* x (+ 1 (* 1/2 (/ (fabs (- y x)) x))))
x
(* -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 x))
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
(fabs (neg (+ x (* -1 y))))
(fabs (neg (+ x (* -1 y))))
(fabs (neg (+ x (* -1 y))))
(fabs (neg (+ x (* -1 y))))
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
(fabs (+ y (* -1 x)))
(fabs (+ y (* -1 x)))
(fabs (+ y (* -1 x)))
(fabs (+ y (* -1 x)))
(* -1 x)
(- y x)
(- y x)
(- y x)
y
(* y (+ 1 (* -1 (/ x y))))
(* y (+ 1 (* -1 (/ x y))))
(* y (+ 1 (* -1 (/ x y))))
y
(* -1 (* y (- (/ x y) 1)))
(* -1 (* y (- (/ x y) 1)))
(* -1 (* y (- (/ x y) 1)))
y
(+ y (* -1 x))
(+ y (* -1 x))
(+ y (* -1 x))
(* -1 x)
(* x (- (/ y x) 1))
(* x (- (/ y x) 1))
(* x (- (/ y x) 1))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(+ x (* (fabs (- y x)) (pow (sqrt 1/2) 2)))
(+ x (* (fabs (- y x)) (pow (sqrt 1/2) 2)))
(+ x (* (fabs (- y x)) (pow (sqrt 1/2) 2)))
(+ x (* (fabs (- y x)) (pow (sqrt 1/2) 2)))
(+ x (* (fabs (- y x)) (pow (sqrt 1/2) 2)))
(+ x (* (fabs (- y x)) (pow (sqrt 1/2) 2)))
(+ x (* (fabs (- y x)) (pow (sqrt 1/2) 2)))
(+ x (* (fabs (- y x)) (pow (sqrt 1/2) 2)))
(+ x (* (fabs (neg (+ x (* -1 y)))) (pow (sqrt 1/2) 2)))
(+ x (* (fabs (neg (+ x (* -1 y)))) (pow (sqrt 1/2) 2)))
(+ x (* (fabs (neg (+ x (* -1 y)))) (pow (sqrt 1/2) 2)))
(+ x (* (fabs (neg (+ x (* -1 y)))) (pow (sqrt 1/2) 2)))
(* (fabs (- y x)) (pow (sqrt 1/2) 2))
(+ x (* (fabs (- y x)) (pow (sqrt 1/2) 2)))
(+ x (* (fabs (- y x)) (pow (sqrt 1/2) 2)))
(+ x (* (fabs (- y x)) (pow (sqrt 1/2) 2)))
x
(* x (+ 1 (/ (* (fabs (- y x)) (pow (sqrt 1/2) 2)) x)))
(* x (+ 1 (/ (* (fabs (- y x)) (pow (sqrt 1/2) 2)) x)))
(* x (+ 1 (/ (* (fabs (- y x)) (pow (sqrt 1/2) 2)) x)))
x
(* -1 (* x (- (* -1 (/ (* (fabs (+ y (* -1 x))) (pow (sqrt 1/2) 2)) x)) 1)))
(* -1 (* x (- (* -1 (/ (* (fabs (+ y (* -1 x))) (pow (sqrt 1/2) 2)) x)) 1)))
(* -1 (* x (- (* -1 (/ (* (fabs (+ y (* -1 x))) (pow (sqrt 1/2) 2)) x)) 1)))
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
(fabs (neg (+ x (* -1 y))))
(fabs (neg (+ x (* -1 y))))
(fabs (neg (+ x (* -1 y))))
(fabs (neg (+ x (* -1 y))))
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
(fabs (+ y (* -1 x)))
(fabs (+ y (* -1 x)))
(fabs (+ y (* -1 x)))
(fabs (+ y (* -1 x)))
(* (fabs (- y x)) (sqrt 1/2))
(* (fabs (- y x)) (sqrt 1/2))
(* (fabs (- y x)) (sqrt 1/2))
(* (fabs (- y x)) (sqrt 1/2))
(* (fabs (- y x)) (sqrt 1/2))
(* (fabs (- y x)) (sqrt 1/2))
(* (fabs (- y x)) (sqrt 1/2))
(* (fabs (- y x)) (sqrt 1/2))
(* (fabs (neg (+ x (* -1 y)))) (sqrt 1/2))
(* (fabs (neg (+ x (* -1 y)))) (sqrt 1/2))
(* (fabs (neg (+ x (* -1 y)))) (sqrt 1/2))
(* (fabs (neg (+ x (* -1 y)))) (sqrt 1/2))
(* (fabs (- y x)) (sqrt 1/2))
(* (fabs (- y x)) (sqrt 1/2))
(* (fabs (- y x)) (sqrt 1/2))
(* (fabs (- y x)) (sqrt 1/2))
(* (fabs (- y x)) (sqrt 1/2))
(* (fabs (- y x)) (sqrt 1/2))
(* (fabs (- y x)) (sqrt 1/2))
(* (fabs (- y x)) (sqrt 1/2))
(* (fabs (+ y (* -1 x))) (sqrt 1/2))
(* (fabs (+ y (* -1 x))) (sqrt 1/2))
(* (fabs (+ y (* -1 x))) (sqrt 1/2))
(* (fabs (+ y (* -1 x))) (sqrt 1/2))
(* -1 y)
(- x y)
(- x y)
(- x y)
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* -1 (* x (pow (sqrt -1) 2)))
(* -1 (* x (+ (* -1 (/ (* y (pow (sqrt -1) 2)) x)) (pow (sqrt -1) 2))))
(* -1 (* x (+ (* -1 (/ (* y (pow (sqrt -1) 2)) x)) (pow (sqrt -1) 2))))
(* -1 (* x (+ (* -1 (/ (* y (pow (sqrt -1) 2)) x)) (pow (sqrt -1) 2))))
x
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* -1 y))
(* -1 y)
(* y (- (/ x y) 1))
(* y (- (/ x y) 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)))))
(* -1/2 y)
(+ (* -1/2 y) (* 3/2 x))
(+ (* -1/2 y) (* 3/2 x))
(+ (* -1/2 y) (* 3/2 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 (- (* 1/2 (pow (sqrt -1) 2)) 1)))
(* -1 (* x (- (+ (* -1/2 (/ (* y (pow (sqrt -1) 2)) x)) (* 1/2 (pow (sqrt -1) 2))) 1)))
(* -1 (* x (- (+ (* -1/2 (/ (* y (pow (sqrt -1) 2)) x)) (* 1/2 (pow (sqrt -1) 2))) 1)))
(* -1 (* x (- (+ (* -1/2 (/ (* y (pow (sqrt -1) 2)) x)) (* 1/2 (pow (sqrt -1) 2))) 1)))
(+ 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)
(* 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 (* 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)))))
(* (sqrt y) (sqrt -1))
(+ (* 1/2 (* (/ x (sqrt -1)) (sqrt (/ 1 y)))) (* (sqrt y) (sqrt -1)))
(+ (* x (+ (* -1/8 (* (/ x (pow (sqrt -1) 3)) (sqrt (/ 1 (pow y 3))))) (* 1/2 (* (sqrt (/ 1 y)) (/ 1 (sqrt -1)))))) (* (sqrt y) (sqrt -1)))
(+ (* x (+ (* 1/2 (* (sqrt (/ 1 y)) (/ 1 (sqrt -1)))) (* x (+ (* -1/8 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (/ x (pow (sqrt -1) 5)) (sqrt (/ 1 (pow y 5))))))))) (* (sqrt y) (sqrt -1)))
(sqrt x)
(* x (+ (sqrt (/ 1 x)) (* -1/2 (* (sqrt (/ 1 (pow x 3))) y))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) y)) (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow y 2))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) y)) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow y 2))) (* -1/16 (* (sqrt (/ 1 (pow x 7))) (pow y 3)))))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (pow (sqrt -1) 2)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (pow (sqrt -1) 2)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (* (pow y 3) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (pow (sqrt -1) 2)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(sqrt x)
(+ (sqrt x) (* -1/2 (* (sqrt (/ 1 x)) y)))
(+ (sqrt x) (* y (+ (* -1/2 (sqrt (/ 1 x))) (* -1/8 (* (sqrt (/ 1 (pow x 3))) y)))))
(+ (sqrt x) (* y (+ (* -1/2 (sqrt (/ 1 x))) (* y (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* -1/16 (* (sqrt (/ 1 (pow x 5))) y)))))))
(* (sqrt y) (sqrt -1))
(* y (+ (* 1/2 (* (/ x (sqrt -1)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (sqrt -1))))
(* y (+ (* -1/8 (* (/ (pow x 2) (pow (sqrt -1) 3)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/2 (* (/ x (sqrt -1)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (sqrt -1)))))
(* y (+ (* -1/8 (* (/ (pow x 2) (pow (sqrt -1) 3)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (/ (pow x 3) (pow (sqrt -1) 5)) (sqrt (/ 1 (pow y 7))))) (+ (* 1/2 (* (/ x (sqrt -1)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (sqrt -1))))))
(* -1 (* (sqrt y) (sqrt -1)))
(* -1 (* y (+ (* 1/2 (* (* x (sqrt -1)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (sqrt -1)))))
(* -1 (* y (+ (* -1/8 (* (* (pow x 2) (sqrt -1)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/2 (* (* x (sqrt -1)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (sqrt -1))))))
(* -1 (* y (+ (* -1/8 (* (* (pow x 2) (sqrt -1)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (* (pow x 3) (sqrt -1)) (sqrt (/ 1 (pow y 7))))) (+ (* 1/2 (* (* x (sqrt -1)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (sqrt -1)))))))
(* -1 y)
(- x y)
(- x y)
(- x y)
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
x
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
x
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* -1 y))
(* -1 y)
(* y (- (/ x y) 1))
(* y (- (/ x y) 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)))))

Outputs
(+ x (* 1/2 (fabs (- y x))))
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x)
(+ x (* 1/2 (fabs (- y x))))
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x)
(+ x (* 1/2 (fabs (- y x))))
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x)
(+ x (* 1/2 (fabs (- y x))))
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x)
(+ x (* 1/2 (fabs (- y x))))
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x)
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(*.f64 (fabs.f64 (-.f64 x y)) (sqrt.f64 #s(literal 1/2 binary64)))
(* (fabs (neg (+ x (* -1 y)))) (sqrt 1/2))
(*.f64 (fabs.f64 (-.f64 x y)) (sqrt.f64 #s(literal 1/2 binary64)))
(* (fabs (neg (+ x (* -1 y)))) (sqrt 1/2))
(*.f64 (fabs.f64 (-.f64 x y)) (sqrt.f64 #s(literal 1/2 binary64)))
(* (fabs (neg (+ x (* -1 y)))) (sqrt 1/2))
(*.f64 (fabs.f64 (-.f64 x y)) (sqrt.f64 #s(literal 1/2 binary64)))
(* (fabs (- y x)) (sqrt 1/2))
(*.f64 (fabs.f64 (-.f64 x y)) (sqrt.f64 #s(literal 1/2 binary64)))
(* (fabs (- y x)) (sqrt 1/2))
(*.f64 (fabs.f64 (-.f64 x y)) (sqrt.f64 #s(literal 1/2 binary64)))
(* (fabs (- y x)) (sqrt 1/2))
(*.f64 (fabs.f64 (-.f64 x y)) (sqrt.f64 #s(literal 1/2 binary64)))
(* (fabs (- y x)) (sqrt 1/2))
(*.f64 (fabs.f64 (-.f64 x y)) (sqrt.f64 #s(literal 1/2 binary64)))
(* (fabs (- y x)) (sqrt 1/2))
(*.f64 (fabs.f64 (-.f64 x y)) (sqrt.f64 #s(literal 1/2 binary64)))
(* (fabs (- y x)) (sqrt 1/2))
(*.f64 (fabs.f64 (-.f64 x y)) (sqrt.f64 #s(literal 1/2 binary64)))
(* (fabs (- y x)) (sqrt 1/2))
(*.f64 (fabs.f64 (-.f64 x y)) (sqrt.f64 #s(literal 1/2 binary64)))
(* (fabs (- y x)) (sqrt 1/2))
(*.f64 (fabs.f64 (-.f64 x y)) (sqrt.f64 #s(literal 1/2 binary64)))
(* (fabs (+ y (* -1 x))) (sqrt 1/2))
(*.f64 (fabs.f64 (-.f64 x y)) (sqrt.f64 #s(literal 1/2 binary64)))
(* (fabs (+ y (* -1 x))) (sqrt 1/2))
(*.f64 (fabs.f64 (-.f64 x y)) (sqrt.f64 #s(literal 1/2 binary64)))
(* (fabs (+ y (* -1 x))) (sqrt 1/2))
(*.f64 (fabs.f64 (-.f64 x y)) (sqrt.f64 #s(literal 1/2 binary64)))
(* (fabs (+ y (* -1 x))) (sqrt 1/2))
(*.f64 (fabs.f64 (-.f64 x y)) (sqrt.f64 #s(literal 1/2 binary64)))
(* -1 y)
(neg.f64 y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
x
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x (/.f64 (*.f64 y x) x))
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x (/.f64 (*.f64 y x) x))
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x (/.f64 (*.f64 y x) x))
(* -1 (* x (pow (sqrt -1) 2)))
x
(* -1 (* x (+ (* -1 (/ (* y (pow (sqrt -1) 2)) x)) (pow (sqrt -1) 2))))
(-.f64 x (/.f64 (*.f64 y x) x))
(* -1 (* x (+ (* -1 (/ (* y (pow (sqrt -1) 2)) x)) (pow (sqrt -1) 2))))
(-.f64 x (/.f64 (*.f64 y x) x))
(* -1 (* x (+ (* -1 (/ (* y (pow (sqrt -1) 2)) x)) (pow (sqrt -1) 2))))
(-.f64 x (/.f64 (*.f64 y x) x))
x
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(* -1 y)
(neg.f64 y)
(* y (- (/ x y) 1))
(fma.f64 y (/.f64 x y) (neg.f64 y))
(* y (- (/ x y) 1))
(fma.f64 y (/.f64 x y) (neg.f64 y))
(* y (- (/ x y) 1))
(fma.f64 y (/.f64 x y) (neg.f64 y))
(* -1 y)
(neg.f64 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(fma.f64 y (/.f64 x y) (neg.f64 y))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(fma.f64 y (/.f64 x y) (neg.f64 y))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(fma.f64 y (/.f64 x y) (neg.f64 y))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(+ (* -1/2 y) (* 3/2 x))
(fma.f64 x #s(literal 3/2 binary64) (*.f64 y #s(literal -1/2 binary64)))
(+ (* -1/2 y) (* 3/2 x))
(fma.f64 x #s(literal 3/2 binary64) (*.f64 y #s(literal -1/2 binary64)))
(+ (* -1/2 y) (* 3/2 x))
(fma.f64 x #s(literal 3/2 binary64) (*.f64 y #s(literal -1/2 binary64)))
(* 3/2 x)
(*.f64 x #s(literal 3/2 binary64))
(* x (+ 3/2 (* -1/2 (/ y x))))
(*.f64 x (fma.f64 y (/.f64 #s(literal -1/2 binary64) x) #s(literal 3/2 binary64)))
(* x (+ 3/2 (* -1/2 (/ y x))))
(*.f64 x (fma.f64 y (/.f64 #s(literal -1/2 binary64) x) #s(literal 3/2 binary64)))
(* x (+ 3/2 (* -1/2 (/ y x))))
(*.f64 x (fma.f64 y (/.f64 #s(literal -1/2 binary64) x) #s(literal 3/2 binary64)))
(* -1 (* x (- (* 1/2 (pow (sqrt -1) 2)) 1)))
(*.f64 x #s(literal 3/2 binary64))
(* -1 (* x (- (+ (* -1/2 (/ (* y (pow (sqrt -1) 2)) x)) (* 1/2 (pow (sqrt -1) 2))) 1)))
(*.f64 x (fma.f64 y (/.f64 #s(literal -1/2 binary64) x) #s(literal 3/2 binary64)))
(* -1 (* x (- (+ (* -1/2 (/ (* y (pow (sqrt -1) 2)) x)) (* 1/2 (pow (sqrt -1) 2))) 1)))
(*.f64 x (fma.f64 y (/.f64 #s(literal -1/2 binary64) x) #s(literal 3/2 binary64)))
(* -1 (* x (- (+ (* -1/2 (/ (* y (pow (sqrt -1) 2)) x)) (* 1/2 (pow (sqrt -1) 2))) 1)))
(*.f64 x (fma.f64 y (/.f64 #s(literal -1/2 binary64) x) #s(literal 3/2 binary64)))
(+ x (* 1/2 x))
(*.f64 x #s(literal 3/2 binary64))
(+ x (+ (* -1/2 y) (* 1/2 x)))
(fma.f64 x #s(literal 3/2 binary64) (*.f64 y #s(literal -1/2 binary64)))
(+ x (+ (* -1/2 y) (* 1/2 x)))
(fma.f64 x #s(literal 3/2 binary64) (*.f64 y #s(literal -1/2 binary64)))
(+ x (+ (* -1/2 y) (* 1/2 x)))
(fma.f64 x #s(literal 3/2 binary64) (*.f64 y #s(literal -1/2 binary64)))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(*.f64 y (fma.f64 x (/.f64 #s(literal 3/2 binary64) y) #s(literal -1/2 binary64)))
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(*.f64 y (fma.f64 x (/.f64 #s(literal 3/2 binary64) y) #s(literal -1/2 binary64)))
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(*.f64 y (fma.f64 x (/.f64 #s(literal 3/2 binary64) y) #s(literal -1/2 binary64)))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(*.f64 y (fma.f64 x (/.f64 #s(literal 3/2 binary64) y) #s(literal -1/2 binary64)))
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(*.f64 y (fma.f64 x (/.f64 #s(literal 3/2 binary64) y) #s(literal -1/2 binary64)))
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(*.f64 y (fma.f64 x (/.f64 #s(literal 3/2 binary64) y) #s(literal -1/2 binary64)))
(* (sqrt y) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 y))
(+ (* 1/2 (* (/ x (sqrt -1)) (sqrt (/ 1 y)))) (* (sqrt y) (sqrt -1)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 #s(literal -1 binary64)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 y)))
(+ (* x (+ (* -1/8 (* (/ x (pow (sqrt -1) 3)) (sqrt (/ 1 (pow y 3))))) (* 1/2 (* (sqrt (/ 1 y)) (/ 1 (sqrt -1)))))) (* (sqrt y) (sqrt -1)))
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 #s(literal -1 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y y)))) (.f64 #s(literal 1/8 binary64) (/.f64 x (sqrt.f64 #s(literal -1 binary64)))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 y)))
(+ (* x (+ (* 1/2 (* (sqrt (/ 1 y)) (/ 1 (sqrt -1)))) (* x (+ (* -1/8 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (/ x (pow (sqrt -1) 5)) (sqrt (/ 1 (pow y 5))))))))) (* (sqrt y) (sqrt -1)))
(fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y y)))) (sqrt.f64 #s(literal -1 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (/.f64 (.f64 x #s(literal 1/16 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 #s(literal -1 binary64))))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 y)))
(sqrt x)
(sqrt.f64 x)
(* x (+ (sqrt (/ 1 x)) (* -1/2 (* (sqrt (/ 1 (pow x 3))) y))))
(.f64 x (fma.f64 (.f64 y #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) y)) (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow y 2))))))
(.f64 x (fma.f64 y (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) y (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) y)) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow y 2))) (* -1/16 (* (sqrt (/ 1 (pow x 7))) (pow y 3)))))))
(.f64 x (fma.f64 (.f64 y y) (fma.f64 (.f64 #s(literal -1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64))))) y (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))) (fma.f64 (.f64 y #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (pow (sqrt -1) 2)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(.f64 (neg.f64 x) (fma.f64 (.f64 y #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (pow (sqrt -1) 2)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(neg.f64 (.f64 x (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (.f64 y y)) #s(literal 1/8 binary64) (fma.f64 (.f64 y #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (* (pow y 3) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (pow (sqrt -1) 2)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(.f64 (neg.f64 x) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (.f64 y y)) #s(literal 1/8 binary64) (fma.f64 y (fma.f64 (.f64 #s(literal -1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64))))) (.f64 y y) (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
(sqrt x)
(sqrt.f64 x)
(+ (sqrt x) (* -1/2 (* (sqrt (/ 1 x)) y)))
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))
(+ (sqrt x) (* y (+ (* -1/2 (sqrt (/ 1 x))) (* -1/8 (* (sqrt (/ 1 (pow x 3))) y)))))
(fma.f64 y (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (.f64 y #s(literal -1/8 binary64)))) (sqrt.f64 x))
(+ (sqrt x) (* y (+ (* -1/2 (sqrt (/ 1 x))) (* y (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* -1/16 (* (sqrt (/ 1 (pow x 5))) y)))))))
(fma.f64 y (fma.f64 y (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (.f64 y #s(literal -1/16 binary64)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (sqrt.f64 x))
(* (sqrt y) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 y))
(* y (+ (* 1/2 (* (/ x (sqrt -1)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (sqrt -1))))
(.f64 y (fma.f64 #s(literal 1/2 binary64) (.f64 (/.f64 x (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y y))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))
(* y (+ (* -1/8 (* (/ (pow x 2) (pow (sqrt -1) 3)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/2 (* (/ x (sqrt -1)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (sqrt -1)))))
(.f64 y (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 (.f64 x x) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (.f64 (/.f64 x (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y y))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))))
(* y (+ (* -1/8 (* (/ (pow x 2) (pow (sqrt -1) 3)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (/ (pow x 3) (pow (sqrt -1) 5)) (sqrt (/ 1 (pow y 7))))) (+ (* 1/2 (* (/ x (sqrt -1)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (sqrt -1))))))
(.f64 y (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 (.f64 x x) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (.f64 (/.f64 x (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y y))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))) (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 x (.f64 x x))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))))))
(* -1 (* (sqrt y) (sqrt -1)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (neg.f64 (sqrt.f64 y)))
(* -1 (* y (+ (* 1/2 (* (* x (sqrt -1)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (sqrt -1)))))
(neg.f64 (.f64 y (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y y)))) (.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 #s(literal -1 binary64))))))))
(* -1 (* y (+ (* -1/8 (* (* (pow x 2) (sqrt -1)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/2 (* (* x (sqrt -1)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (sqrt -1))))))
(.f64 (neg.f64 y) (fma.f64 x (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y y))))) #s(literal 1/2 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))))
(* -1 (* y (+ (* -1/8 (* (* (pow x 2) (sqrt -1)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (* (pow x 3) (sqrt -1)) (sqrt (/ 1 (pow y 7))))) (+ (* 1/2 (* (* x (sqrt -1)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (sqrt -1)))))))
(.f64 (neg.f64 y) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (.f64 x (.f64 x (sqrt.f64 #s(literal -1 binary64))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y y)))) (.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 #s(literal -1 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))) (.f64 #s(literal 1/16 binary64) (.f64 x (.f64 x (*.f64 x (sqrt.f64 #s(literal -1 binary64)))))))))))
(* -1 y)
(neg.f64 y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
x
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x (/.f64 (*.f64 y x) x))
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x (/.f64 (*.f64 y x) x))
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x (/.f64 (*.f64 y x) x))
x
(* -1 (* x (- (/ y x) 1)))
(-.f64 x (/.f64 (*.f64 y x) x))
(* -1 (* x (- (/ y x) 1)))
(-.f64 x (/.f64 (*.f64 y x) x))
(* -1 (* x (- (/ y x) 1)))
(-.f64 x (/.f64 (*.f64 y x) x))
x
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(* -1 y)
(neg.f64 y)
(* y (- (/ x y) 1))
(fma.f64 y (/.f64 x y) (neg.f64 y))
(* y (- (/ x y) 1))
(fma.f64 y (/.f64 x y) (neg.f64 y))
(* y (- (/ x y) 1))
(fma.f64 y (/.f64 x y) (neg.f64 y))
(* -1 y)
(neg.f64 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(fma.f64 y (/.f64 x y) (neg.f64 y))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(fma.f64 y (/.f64 x y) (neg.f64 y))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(fma.f64 y (/.f64 x y) (neg.f64 y))

rewrite343.0ms (3.4%)

Memory

-28.4MiB live, 584.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 404×	`lower-*.f32`
4 400×	`lower-*.f64`
4 396×	`lower-fma.f32`
4 390×	`lower-fma.f64`
3 344×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	103
0	37	94
1	134	88
2	901	80
0	8962	80

Stop Event

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

Counts

14 → 804

Calls

Call 1

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

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

eval235.0ms (2.3%)

Memory: 13.6MiB live, 455.9MiB allocated
Compiler: Compiled 34 553 to 2 727 computations (92.1% saved)

prune226.0ms (2.2%)

Memory

-16.8MiB live, 379.3MiB allocated

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	1 491	5	1 496
Fresh	0	0	0
Picked	3	1	4
Done	2	3	5
Total	1 496	9	1 505

Accuracy

100.0%

Counts

1 505 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	49.7%	(fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x)
✓	100.0%	(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)
✓	52.0%	(fma.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64) x)
	28.5%	(fma.f64 #s(approx (* (sqrt (- x y)) (sqrt (- x y))) (neg.f64 y)) #s(literal 1/2 binary64) x)
	49.8%	#s(approx (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (fma.f64 x #s(literal 3/2 binary64) (*.f64 y #s(literal -1/2 binary64))))
	20.3%	#s(approx (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (*.f64 y #s(literal -1/2 binary64)))
	31.6%	#s(approx (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (*.f64 x #s(literal 3/2 binary64)))
✓	52.4%	#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))))
✓	7.3%	#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- y x) (neg.f64 x)))))

Compiler

Compiled 341 to 120 computations (64.8% saved)

regimes69.0ms (0.7%)

Memory

19.5MiB live, 59.6MiB allocated

Counts

23 → 1

Calls

Call 1

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

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

Calls

3 calls:

54.0ms	y
7.0ms	(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
7.0ms	x

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))`

Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes13.0ms (0.1%)

Memory

-14.3MiB live, 25.3MiB allocated

Counts

8 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

5.0ms	y
3.0ms	(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
3.0ms	x

Results

Accuracy	Segments	Branch
81.7%	3	`x`
81.9%	3	`y`
79.7%	3	`(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))`

Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes3.0ms (0%)

Memory

8.1MiB live, 8.1MiB allocated

Counts

7 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
81.8%	3	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes19.0ms (0.2%)

Memory

-17.7MiB live, 21.8MiB allocated

Counts

6 → 2

Calls

Call 1

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

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

Calls

3 calls:

13.0ms	(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
3.0ms	x
3.0ms	y

Results

Accuracy	Segments	Branch
59.2%	3	`(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))`
68.9%	3	`x`
71.5%	2	`y`

Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes8.0ms (0.1%)

Memory

19.5MiB live, 19.5MiB allocated

Counts

5 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
49.7%	1	`(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))`
49.7%	1	`x`
49.7%	1	`y`

Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes134.0ms (1.3%)

Memory

-21.4MiB live, 18.3MiB allocated

Counts

4 → 2

Calls

Call 1

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

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

Calls

3 calls:

129.0ms	y
2.0ms	(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
2.0ms	x

Results

Accuracy	Segments	Branch
43.9%	2	`y`
43.8%	2	`x`
33.5%	2	`(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))`

Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes3.0ms (0%)

Memory

9.2MiB live, 9.2MiB allocated

Counts

2 → 2

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
41.5%	3	`x`
42.3%	2	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0%)

Memory

11.8MiB live, 11.8MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
31.6%	1	`(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))`
31.6%	1	`x`
31.6%	1	`y`

Compiler

Compiled 16 to 11 computations (31.3% saved)

bsearch67.0ms (0.7%)

Memory

-26.1MiB live, 57.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	1.0134679271653729e-113	5.412302188888343e-105
31.0ms	-7.029750152231164e-153	-4.512356883413491e-171

Samples

30.0ms	296×	0	valid
1.0ms	4×	2	valid
0.0ms	3×	1	valid
0.0ms	1×	3	valid

Compiler

Compiled 393 to 278 computations (29.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-fabs: 19.0ms (76.2% of total)

ival-div: 2.0ms (8% of total)

ival-sub: 2.0ms (8% of total)

ival-add: 1.0ms (4% 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)

bsearch2.0ms (0%)

Memory

4.6MiB live, 4.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.0134679271653729e-113	5.412302188888343e-105
1.0ms	-7.029750152231164e-153	-4.512356883413491e-171

Compiler

Compiled 383 to 268 computations (30% saved)

bsearch11.0ms (0.1%)

Memory

23.9MiB live, 23.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	1.0134679271653729e-113	5.412302188888343e-105

Samples

5.0ms	125×	0	valid
0.0ms	2×	1	valid
0.0ms	1×	2	valid

Compiler

Compiled 184 to 129 computations (29.9% saved)

Precisions

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

ival-div: 1.0ms (33.4% of total)

ival-sub: 1.0ms (33.4% of total)

ival-add: 1.0ms (33.4% of total)

ival-fabs: 1.0ms (33.4% 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)

bsearch113.0ms (1.1%)

Memory

-11.4MiB live, 28.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
112.0ms	-7.029750152231164e-153	-4.512356883413491e-171

Samples

106.0ms	139×	0	valid
1.0ms	4×	3	valid
0.0ms	1×	1	valid

Compiler

Compiled 173 to 122 computations (29.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 104.0ms

ival-sub: 100.0ms (96.6% of total)

ival-div: 1.0ms (1% of total)

ival-fabs: 1.0ms (1% of total)

ival-add: 1.0ms (1% 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)

bsearch10.0ms (0.1%)

Memory

20.1MiB live, 20.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	-8.716308861232855e-53	-5.672809616412394e-55

Samples

5.0ms	109×	0	valid
0.0ms	2×	1	valid
0.0ms	1×	2	valid

Compiler

Compiled 111 to 82 computations (26.1% saved)

Precisions

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

ival-div: 1.0ms (37.2% of total)

ival-sub: 1.0ms (37.2% of total)

ival-add: 1.0ms (37.2% of total)

ival-fabs: 1.0ms (37.2% 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)

simplify115.0ms (1.1%)

Memory

-21.1MiB live, 18.4MiB allocated

Algorithm

1×	egg-herbie

Rules

10×	`*-commutative_binary64`
8×	`+-commutative_binary64`
8×	`sub-neg_binary64`
4×	`neg-sub0_binary64`
4×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	221
1	63	221
2	69	221
3	71	221

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)
(if (<=.f64 y #s(literal -3924920921814403/15095849699286165408966218323953075563667684881665761713504825200982496649568595408344506900710635070165873500123055379599082338519699170530245737005730784174597581307904 binary64)) #s(approx (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (fma.f64 x #s(literal 3/2 binary64) (.f64 y #s(literal -1/2 binary64)))) (if (<=.f64 y #s(literal 6972074670834653/1291124939043454294827959586001505937164852896414611756415329678270323811008420597314822676640068915717951585986373746688 binary64)) (fma.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64) x) #s(approx (+ x (/ (fabs (- y x)) 2)) (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))))))
(if (<=.f64 y #s(literal -3924920921814403/15095849699286165408966218323953075563667684881665761713504825200982496649568595408344506900710635070165873500123055379599082338519699170530245737005730784174597581307904 binary64)) (fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x) (if (<=.f64 y #s(literal 6972074670834653/1291124939043454294827959586001505937164852896414611756415329678270323811008420597314822676640068915717951585986373746688 binary64)) (fma.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64) x) #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))))))
(if (<=.f64 y #s(literal 8123055744494575/10830740992659433045228180406808920716548582325686783496759685861775864483615725089999900023844295226942934417817982702456930304 binary64)) (fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x) #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))))
(fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x)
(if (<=.f64 y #s(literal -5673165816829483/16209045190941378744189093217543598246142368094697019140608036444104112544581672446873855659949624196438272994575393707743731058888327247296433104820757670652582741419537146576896 binary64)) (fma.f64 #s(approx (* (sqrt (- x y)) (sqrt (- x y))) (neg.f64 y)) #s(literal 1/2 binary64) x) #s(approx (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (*.f64 x #s(literal 3/2 binary64))))
(if (<=.f64 y #s(literal -463711082674991/215679573337205118357336120696157045389097155380324579848828881993728 binary64)) #s(approx (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (.f64 y #s(literal -1/2 binary64))) #s(approx (+ ( (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (*.f64 x #s(literal 3/2 binary64))))
#s(approx (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (*.f64 x #s(literal 3/2 binary64)))

Outputs
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)
(if (<=.f64 y #s(literal -3924920921814403/15095849699286165408966218323953075563667684881665761713504825200982496649568595408344506900710635070165873500123055379599082338519699170530245737005730784174597581307904 binary64)) #s(approx (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (fma.f64 x #s(literal 3/2 binary64) (.f64 y #s(literal -1/2 binary64)))) (if (<=.f64 y #s(literal 6972074670834653/1291124939043454294827959586001505937164852896414611756415329678270323811008420597314822676640068915717951585986373746688 binary64)) (fma.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64) x) #s(approx (+ x (/ (fabs (- y x)) 2)) (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))))))
(if (<=.f64 y #s(literal -3924920921814403/15095849699286165408966218323953075563667684881665761713504825200982496649568595408344506900710635070165873500123055379599082338519699170530245737005730784174597581307904 binary64)) #s(approx (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (fma.f64 x #s(literal 3/2 binary64) (.f64 y #s(literal -1/2 binary64)))) (if (<=.f64 y #s(literal 6972074670834653/1291124939043454294827959586001505937164852896414611756415329678270323811008420597314822676640068915717951585986373746688 binary64)) (fma.f64 (fabs.f64 #s(approx (- y x) (neg.f64 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)))))
(if (<=.f64 y #s(literal -3924920921814403/15095849699286165408966218323953075563667684881665761713504825200982496649568595408344506900710635070165873500123055379599082338519699170530245737005730784174597581307904 binary64)) (fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x) (if (<=.f64 y #s(literal 6972074670834653/1291124939043454294827959586001505937164852896414611756415329678270323811008420597314822676640068915717951585986373746688 binary64)) (fma.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64) x) #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))))))
(if (<=.f64 y #s(literal -3924920921814403/15095849699286165408966218323953075563667684881665761713504825200982496649568595408344506900710635070165873500123055379599082338519699170530245737005730784174597581307904 binary64)) (fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x) (if (<=.f64 y #s(literal 6972074670834653/1291124939043454294827959586001505937164852896414611756415329678270323811008420597314822676640068915717951585986373746688 binary64)) (fma.f64 (fabs.f64 #s(approx (- y x) (neg.f64 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)))))
(if (<=.f64 y #s(literal 8123055744494575/10830740992659433045228180406808920716548582325686783496759685861775864483615725089999900023844295226942934417817982702456930304 binary64)) (fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x) #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))))
(if (<=.f64 y #s(literal 8123055744494575/10830740992659433045228180406808920716548582325686783496759685861775864483615725089999900023844295226942934417817982702456930304 binary64)) (fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x) #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))))
(fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x)
(if (<=.f64 y #s(literal -5673165816829483/16209045190941378744189093217543598246142368094697019140608036444104112544581672446873855659949624196438272994575393707743731058888327247296433104820757670652582741419537146576896 binary64)) (fma.f64 #s(approx (* (sqrt (- x y)) (sqrt (- x y))) (neg.f64 y)) #s(literal 1/2 binary64) x) #s(approx (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (*.f64 x #s(literal 3/2 binary64))))
(if (<=.f64 y #s(literal -463711082674991/215679573337205118357336120696157045389097155380324579848828881993728 binary64)) #s(approx (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (.f64 y #s(literal -1/2 binary64))) #s(approx (+ ( (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (*.f64 x #s(literal 3/2 binary64))))
#s(approx (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (*.f64 x #s(literal 3/2 binary64)))

soundness1.5s (15%)

Memory

-0.1MiB live, 1 014.3MiB allocated

Rules

13 840×	`lower-fma.f64`
13 840×	`lower-fma.f32`
13 504×	`lower-fma.f64`
13 504×	`lower-fma.f32`
6 608×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	21
0	11	21
1	51	21
2	380	21
3	5345	21
0	8350	20
0	43	479
1	115	479
2	264	479
3	775	479
4	2426	479
5	3227	479
6	4255	479
7	5098	479
8	5671	479
9	6159	479
10	7875	479
0	8354	458
0	29	220
0	50	114
1	216	107
2	1800	107
0	8188	107
0	20	103
0	37	94
1	134	88
2	901	80
0	8962	80
0	326	2532
1	972	2465
2	3034	2443
0	8421	2301
0	347	2937
1	1079	2903
2	3240	2790
0	8214	2642
0	37	184
0	62	142
1	242	142
2	1465	134
0	8488	134

Stop Event

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

Compiler

Compiled 848 to 395 computations (53.4% saved)

preprocess53.0ms (0.5%)

Memory: -24.8MiB live, 130.0MiB allocated
Compiler: Compiled 258 to 84 computations (67.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

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

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

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

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

analyze0.0ms (0%)

sample1.1s (10.7%)

preprocess44.0ms (0.4%)

explain234.0ms (2.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify18.0ms (0.2%)

localize28.0ms (0.3%)

series4.0ms (0%)

simplify272.0ms (2.7%)

rewrite407.0ms (4%)

eval65.0ms (0.6%)

prune43.0ms (0.4%)

simplify484.0ms (4.8%)

localize129.0ms (1.3%)

series40.0ms (0.4%)

simplify397.0ms (3.9%)

rewrite410.0ms (4%)

eval498.0ms (4.9%)

prune424.0ms (4.2%)

simplify331.0ms (3.3%)

localize146.0ms (1.4%)

series40.0ms (0.4%)

simplify208.0ms (2%)

rewrite418.0ms (4.1%)

eval462.0ms (4.5%)

prune300.0ms (2.9%)

simplify128.0ms (1.3%)

localize83.0ms (0.8%)

series12.0ms (0.1%)

simplify502.0ms (4.9%)

rewrite343.0ms (3.4%)

eval235.0ms (2.3%)

prune226.0ms (2.2%)

regimes69.0ms (0.7%)

regimes13.0ms (0.1%)

regimes3.0ms (0%)

regimes19.0ms (0.2%)

regimes8.0ms (0.1%)

regimes134.0ms (1.3%)

regimes3.0ms (0%)

regimes4.0ms (0%)

bsearch67.0ms (0.7%)

bsearch2.0ms (0%)

bsearch11.0ms (0.1%)

bsearch113.0ms (1.1%)

bsearch10.0ms (0.1%)

simplify115.0ms (1.1%)

soundness1.5s (15%)

preprocess53.0ms (0.5%)

end0.0ms (0%)

Profiling

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

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