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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 10 to 9 computations (10% saved)

sample1.1s (17.8%)

Memory

-42.5MiB live, 733.5MiB allocated

Samples

728.0ms	7 938×	0	valid
48.0ms	59×	3	valid
15.0ms	110×	2	valid
13.0ms	149×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 554.0ms

ival-add: 222.0ms (40.1% of total)

ival-div: 194.0ms (35% of total)

ival-sub: 65.0ms (11.7% of total)

ival-fabs: 47.0ms (8.5% of total)

adjust: 9.0ms (1.6% of total)

ival-true: 7.0ms (1.3% of total)

exact: 5.0ms (0.9% of total)

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

Bogosity

explain136.0ms (2.3%)

Memory

0.6MiB live, 199.0MiB 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

26.0ms	494×	0	valid
2.0ms	10×	2	valid
1.0ms	8×	1	valid

Compiler

Compiled 108 to 42 computations (61.1% saved)

Precisions

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

ival-div: 4.0ms (28.1% of total)

ival-sub: 3.0ms (21.1% of total)

ival-add: 3.0ms (21.1% of total)

ival-fabs: 3.0ms (21.1% of total)

adjust: 1.0ms (7% of total)

ival-true: 1.0ms (7% of total)

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

exact: 0.0ms (0% of total)

preprocess42.0ms (0.7%)

Memory

23.1MiB live, 59.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 8 to 7 computations (12.5% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 8 to 7 computations (12.5% saved)

simplify21.0ms (0.4%)

Memory

-39.6MiB live, 14.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize19.0ms (0.3%)

Memory

14.1MiB live, 14.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))
accuracy	0	(-.f64 y x)
accuracy	0	(fabs.f64 (-.f64 y x))
accuracy	0.0546875	(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))

Samples

12.0ms	247×	0	valid
1.0ms	5×	2	valid
0.0ms	4×	1	valid

Compiler

Compiled 50 to 16 computations (68% saved)

Precisions

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

ival-div: 2.0ms (29.3% of total)

ival-sub: 2.0ms (29.3% of total)

ival-add: 1.0ms (14.6% of total)

ival-fabs: 1.0ms (14.6% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory

4.8MiB live, 4.8MiB allocated

Counts

4 → 19

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

Calls

6 calls:

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

simplify156.0ms (2.6%)

Memory

1.4MiB live, 114.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	84
1	115	84
2	264	84
3	772	84
4	2419	84
5	3208	84
6	4232	84
7	5072	84
8	5647	84
9	6135	84
10	7833	84
0	8304	80

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 17

Calls

Call 1

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

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

rewrite285.0ms (4.7%)

Memory

-8.5MiB live, 270.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

4 → 239

Calls

Call 1

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

Outputs
(.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (fabs.f64 (fma.f64 (neg.f64 x) x (.f64 y y)))) #s(literal -1 binary64)) (pow.f64 (fabs.f64 (+.f64 x y)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) #s(literal -1 binary64)) (pow.f64 (fabs.f64 (fma.f64 (+.f64 x y) x (.f64 y y))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (neg.f64 (fabs.f64 (-.f64 x y))) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64))
(.f64 (pow.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 (fabs.f64 (-.f64 x y))) #s(literal 1 binary64)) #s(literal -1/2 binary64))
(.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (pow.f64 (pow.f64 (neg.f64 (fabs.f64 (-.f64 x y))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 (neg.f64 (fabs.f64 (-.f64 x y))) #s(literal 1 binary64)))
(*.f64 #s(literal -1/2 binary64) (neg.f64 (fabs.f64 (-.f64 x y))))
(.f64 #s(literal -1 binary64) (pow.f64 (.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1 binary64)))
(.f64 #s(literal -1 binary64) (.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))))
(*.f64 (neg.f64 (fabs.f64 (-.f64 x y))) #s(literal -1/2 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1 binary64))
(*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) #s(literal -1/2 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y))) #s(literal -1 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1 binary64))
(/.f64 (.f64 (fabs.f64 (fma.f64 (neg.f64 x) x (.f64 y y))) #s(literal 1/2 binary64)) (fabs.f64 (+.f64 x y)))
(/.f64 (.f64 (fabs.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)) (fabs.f64 (fma.f64 (+.f64 x y) x (.f64 y y))))
(/.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (fma.f64 (neg.f64 x) x (.f64 y y)))) (fabs.f64 (+.f64 x y)))
(/.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (fabs.f64 (fma.f64 (+.f64 x y) x (.f64 y y))))
(/.f64 (fabs.f64 (fma.f64 (neg.f64 x) x (.f64 y y))) (.f64 #s(literal 2 binary64) (fabs.f64 (+.f64 x y))))
(/.f64 (fabs.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (.f64 #s(literal 2 binary64) (fabs.f64 (fma.f64 (+.f64 x y) x (.f64 y y)))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (fabs.f64 (-.f64 x y))))
(/.f64 #s(literal 1/2 binary64) (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y))))
(/.f64 (neg.f64 (fabs.f64 (-.f64 x y))) #s(literal -2 binary64))
(/.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64))
(neg.f64 (.f64 (.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1 binary64)))
(neg.f64 (*.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y))))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y))))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y)))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y)))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x))) (fma.f64 #s(literal -1/512 binary64) (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 6 binary64)) (pow.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) (fabs.f64 (-.f64 x y))) #s(literal 3 binary64))) (pow.f64 x #s(literal 6 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (*.f64 x x)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (.f64 x x)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x)) (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)))) #s(literal 2 binary64)))) (fma.f64 x x (.f64 (*.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y))) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x)))))
(.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (fabs.f64 (-.f64 x y)) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x))) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x)) (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)))) (-.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x)) (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)))) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
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(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 y y) (.f64 (neg.f64 x) y))))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (neg.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 x y) x (*.f64 y y)))
(neg.f64 (-.f64 x y))
(fma.f64 (/.f64 (.f64 y y) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (-.f64 x y) (.f64 y y)) (neg.f64 (*.f64 x (/.f64 x (+.f64 x y)))))
(fma.f64 (/.f64 (.f64 y y) (fma.f64 (neg.f64 x) x (.f64 y y))) (-.f64 y x) (neg.f64 (*.f64 x (/.f64 x (+.f64 x y)))))
(fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 (+.f64 x y) x) #s(literal 2 binary64)))) (-.f64 (.f64 y y) (.f64 (+.f64 x y) x)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 x y) x (.f64 y y)))))
(fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (+.f64 x y) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (.f64 (+.f64 x y) x) (-.f64 (.f64 (+.f64 x y) x) (.f64 y y)) (pow.f64 y #s(literal 4 binary64))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 x y) x (*.f64 y y)))))
(fma.f64 (pow.f64 y #s(literal 3/2 binary64)) (/.f64 (pow.f64 y #s(literal 3/2 binary64)) (fma.f64 (+.f64 x y) x (.f64 y y))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 x y) x (.f64 y y)))))
(fma.f64 #s(literal -1 binary64) x (neg.f64 (neg.f64 y)))
(fma.f64 #s(literal -1 binary64) x y)
(fma.f64 (.f64 y y) (/.f64 y (fma.f64 (+.f64 x y) x (.f64 y y))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 x y) x (*.f64 y y)))))
(fma.f64 (.f64 y y) (pow.f64 (+.f64 x y) #s(literal -1 binary64)) (neg.f64 (.f64 x (/.f64 x (+.f64 x y)))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (fma.f64 (+.f64 x y) x (.f64 y y)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 x y) x (.f64 y y)))))
(fma.f64 x #s(literal -1 binary64) (neg.f64 (neg.f64 y)))
(fma.f64 x #s(literal -1 binary64) y)
(fma.f64 y (/.f64 y (+.f64 x y)) (neg.f64 (*.f64 x (/.f64 x (+.f64 x y)))))
(fma.f64 y (/.f64 (.f64 y y) (fma.f64 (+.f64 x y) x (.f64 y y))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 x y) x (*.f64 y y)))))
(-.f64 (+.f64 y #s(literal 0 binary64)) x)
(-.f64 (.f64 y (/.f64 y (+.f64 x y))) (.f64 x (/.f64 x (+.f64 x y))))
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 x y) x (.f64 y y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 x y) x (.f64 y y))))
(-.f64 #s(literal 0 binary64) (-.f64 x y))
(-.f64 y x)
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (neg.f64 (neg.f64 y)) (neg.f64 x))
(+.f64 (.f64 y (/.f64 y (+.f64 x y))) (neg.f64 (.f64 x (/.f64 x (+.f64 x y)))))
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 x y) x (.f64 y y))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 x y) x (.f64 y y)))))
(+.f64 (neg.f64 x) (neg.f64 (neg.f64 y)))
(+.f64 (neg.f64 x) y)
(+.f64 y (neg.f64 x))

eval63.0ms (1%)

Memory: 13.7MiB live, 52.1MiB allocated
Compiler: Compiled 5 440 to 929 computations (82.9% saved)

prune10.0ms (0.2%)

Memory

-21.9MiB live, 22.2MiB allocated

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	237	7	244
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	238	7	245

Accuracy

100.0%

Counts

245 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.2%	(fma.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64)) x)
▶	99.9%	(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
▶	99.7%	(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x) #s(literal -1 binary64)))
	99.2%	(+.f64 x (pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
▶	54.1%	(+.f64 x (/.f64 (fabs.f64 (.f64 (fma.f64 (+.f64 x y) x (.f64 y y)) (/.f64 (-.f64 y x) (fma.f64 (+.f64 x y) x (*.f64 y y))))) #s(literal 2 binary64)))
▶	99.9%	(+.f64 x (/.f64 (fabs.f64 (*.f64 (+.f64 x y) (/.f64 (-.f64 y x) (+.f64 x y)))) #s(literal 2 binary64)))
▶	99.7%	(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y)))))

Compiler

Compiled 200 to 130 computations (35% saved)

simplify155.0ms (2.6%)

Memory

35.6MiB live, 199.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(fabs.f64 (-.f64 x y))
cost-diff	0	(fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x)
cost-diff	0	(pow.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x) #s(literal -1 binary64))
cost-diff	7168	(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x) #s(literal -1 binary64)))
cost-diff	0	(fabs.f64 (.f64 (fma.f64 (+.f64 x y) x (.f64 y y)) (/.f64 (-.f64 y x) (fma.f64 (+.f64 x y) x (*.f64 y y)))))
cost-diff	128	(+.f64 x (/.f64 (fabs.f64 (.f64 (fma.f64 (+.f64 x y) x (.f64 y y)) (/.f64 (-.f64 y x) (fma.f64 (+.f64 x y) x (*.f64 y y))))) #s(literal 2 binary64)))
cost-diff	384	(/.f64 (fabs.f64 (.f64 (fma.f64 (+.f64 x y) x (.f64 y y)) (/.f64 (-.f64 y x) (fma.f64 (+.f64 x y) x (*.f64 y y))))) #s(literal 2 binary64))
cost-diff	2816	(.f64 (fma.f64 (+.f64 x y) x (.f64 y y)) (/.f64 (-.f64 y x) (fma.f64 (+.f64 x y) x (*.f64 y y))))
cost-diff	0	(fabs.f64 (-.f64 x y))
cost-diff	0	(/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y)))
cost-diff	128	(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y)))))
cost-diff	1088	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y))))
cost-diff	0	(-.f64 x y)
cost-diff	0	(fabs.f64 (-.f64 x y))
cost-diff	0	(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
cost-diff	0	(fabs.f64 (*.f64 (+.f64 x y) (/.f64 (-.f64 y x) (+.f64 x y))))
cost-diff	128	(+.f64 x (/.f64 (fabs.f64 (*.f64 (+.f64 x y) (/.f64 (-.f64 y x) (+.f64 x y)))) #s(literal 2 binary64)))
cost-diff	384	(/.f64 (fabs.f64 (*.f64 (+.f64 x y) (/.f64 (-.f64 y x) (+.f64 x y)))) #s(literal 2 binary64))
cost-diff	1408	(*.f64 (+.f64 x y) (/.f64 (-.f64 y x) (+.f64 x y)))

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	29	285
0	55	288
1	89	288
2	156	288
3	353	204
4	1040	170
5	3732	170
0	8509	170

Stop Event

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

Calls

Call 1

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

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

localize126.0ms (2.1%)

Memory

2.8MiB live, 113.0MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0	(fabs.f64 (-.f64 x y))
accuracy	0.0546875	(fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x)
accuracy	0.09765625	(pow.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x) #s(literal -1 binary64))
accuracy	0.1953125	(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x) #s(literal -1 binary64)))
accuracy	0.00390625	(fma.f64 (+.f64 x y) x (*.f64 y y))
accuracy	0.0546875	(+.f64 x (/.f64 (fabs.f64 (.f64 (fma.f64 (+.f64 x y) x (.f64 y y)) (/.f64 (-.f64 y x) (fma.f64 (+.f64 x y) x (*.f64 y y))))) #s(literal 2 binary64)))
accuracy	27.75829467913953	(/.f64 (-.f64 y x) (fma.f64 (+.f64 x y) x (*.f64 y y)))
accuracy	27.81612970607179	(.f64 (fma.f64 (+.f64 x y) x (.f64 y y)) (/.f64 (-.f64 y x) (fma.f64 (+.f64 x y) x (*.f64 y y))))
accuracy	0	(fabs.f64 (-.f64 x y))
accuracy	0.03125	(/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y)))
accuracy	0.0546875	(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y)))))
accuracy	0.1953125	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y))))
accuracy	0	(-.f64 x y)
accuracy	0	(fabs.f64 (-.f64 x y))
accuracy	0.0546875	(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
accuracy	0	(fabs.f64 (*.f64 (+.f64 x y) (/.f64 (-.f64 y x) (+.f64 x y))))
accuracy	0.033535009768442016	(/.f64 (-.f64 y x) (+.f64 x y))
accuracy	0.03515625	(*.f64 (+.f64 x y) (/.f64 (-.f64 y x) (+.f64 x y)))
accuracy	0.0546875	(+.f64 x (/.f64 (fabs.f64 (*.f64 (+.f64 x y) (/.f64 (-.f64 y x) (+.f64 x y)))) #s(literal 2 binary64)))

Samples

51.0ms	236×	0	valid
38.0ms	11×	2	valid
4.0ms	8×	1	valid
1.0ms	1×	3	valid

Compiler

Compiled 586 to 63 computations (89.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 75.0ms

ival-div: 42.0ms (55.9% of total)

ival-mult: 10.0ms (13.3% of total)

ival-add: 9.0ms (12% of total)

ival-fabs: 4.0ms (5.3% of total)

ival-pow: 4.0ms (5.3% of total)

ival-sub: 3.0ms (4% of total)

adjust: 2.0ms (2.7% of total)

exact: 1.0ms (1.3% of total)

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

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

series26.0ms (0.4%)

Memory

-14.1MiB live, 28.9MiB allocated

Counts

20 → 102

Calls

Call 1

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

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

Calls

6 calls:

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

simplify313.0ms (5.2%)

Memory

-1.7MiB live, 187.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	415	1465
1	1270	1326
2	3537	1180
0	8566	1094

Stop Event

1×	iter limit
1×	node limit

Counts

102 → 100

Calls

Call 1

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

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

rewrite196.0ms (3.2%)

Memory

36.4MiB live, 224.7MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	238
0	55	241
1	243	123
2	1986	123
0	8481	123

Stop Event

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

Counts

20 → 1 651

Calls

Call 1

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

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

eval238.0ms (3.9%)

Memory: -4.3MiB live, 324.0MiB allocated
Compiler: Compiled 30 719 to 4 753 computations (84.5% saved)

prune40.0ms (0.7%)

Memory

-20.2MiB live, 63.2MiB allocated

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	963	6	969
Fresh	1	1	2
Picked	3	2	5
Done	0	0	0
Total	967	9	976

Accuracy

100.0%

Counts

976 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.2%	(fma.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64)) x)
	54.2%	(fma.f64 (fabs.f64 (fma.f64 (+.f64 y x) x (.f64 y y))) (.f64 (fabs.f64 (/.f64 (-.f64 x y) (fma.f64 (+.f64 y x) x (*.f64 y y)))) #s(literal 1/2 binary64)) x)
✓	99.9%	(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
▶	86.7%	(fma.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) #s(literal 1/2 binary64) x)
▶	59.7%	(fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x)
▶	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x)))
✓	99.7%	(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y)))))
▶	77.5%	(*.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x)) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x)))
▶	86.5%	#s(approx (+ (* (fabs (- x y)) 1/2) x) (*.f64 (fma.f64 (fabs.f64 (-.f64 x y)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x))

Compiler

Compiled 251 to 157 computations (37.5% saved)

simplify170.0ms (2.8%)

Memory

17.6MiB live, 92.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(fabs.f64 (-.f64 x y))
cost-diff	0	(fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x)
cost-diff	0	(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x))
cost-diff	2304	(*.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x)) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x)))
cost-diff	0	#s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))
cost-diff	0	(fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)))
cost-diff	0	(fma.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) #s(literal 1/2 binary64) x)
cost-diff	1024	(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)
cost-diff	0	(fabs.f64 (-.f64 x y))
cost-diff	0	(fma.f64 (fabs.f64 (-.f64 x y)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
cost-diff	0	#s(approx (+ (* (fabs (- x y)) 1/2) x) (*.f64 (fma.f64 (fabs.f64 (-.f64 x y)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x))
cost-diff	1024	(*.f64 (fma.f64 (fabs.f64 (-.f64 x y)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x)
cost-diff	0	(neg.f64 y)
cost-diff	0	#s(approx (- x y) (neg.f64 y))
cost-diff	0	(fabs.f64 #s(approx (- x y) (neg.f64 y)))
cost-diff	0	(fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x)
cost-diff	0	(fabs.f64 (-.f64 x y))
cost-diff	0	(fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x)
cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x))
cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x)))

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	29	219
0	51	196
1	75	196
2	115	196
3	189	196
4	521	180
5	890	180
6	1356	180
7	3277	180
8	5534	180
9	6801	180
10	7194	180
11	7363	180
12	7510	180
13	7937	180
0	8089	180

Stop Event

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

Calls

Call 1

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

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

localize124.0ms (2.1%)

Memory

2.8MiB live, 124.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(fabs.f64 (-.f64 x y))
accuracy	0.01953125	(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x))
accuracy	0.0546875	(fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x)
accuracy	0.41015625	(*.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x)) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x)))
accuracy	0	(fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)))
accuracy	0	#s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))
accuracy	0.0546875	(fma.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) #s(literal 1/2 binary64) x)
accuracy	8.497131181391309	(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)
accuracy	0	(fabs.f64 (-.f64 x y))
accuracy	0	#s(approx (+ (* (fabs (- x y)) 1/2) x) (*.f64 (fma.f64 (fabs.f64 (-.f64 x y)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x))
accuracy	0.08203125	(fma.f64 (fabs.f64 (-.f64 x y)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
accuracy	8.526116144313786	(*.f64 (fma.f64 (fabs.f64 (-.f64 x y)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x)
accuracy	0	(neg.f64 y)
accuracy	0	(fabs.f64 #s(approx (- x y) (neg.f64 y)))
accuracy	0.0546875	(fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x)
accuracy	17.118566730623364	#s(approx (- x y) (neg.f64 y))
accuracy	0	(fabs.f64 (-.f64 x y))
accuracy	0.0546875	(fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x)
accuracy	0.08984375	(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x))
accuracy	0.15234375	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x)))

Samples

58.0ms	180×	0	valid
22.0ms	11×	2	valid
10.0ms	56×	0	invalid
3.0ms	8×	1	valid
1.0ms	1×	3	valid

Compiler

Compiled 406 to 54 computations (86.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 74.0ms

ival-add: 30.0ms (40.3% of total)

ival-sub: 21.0ms (28.2% of total)

ival-mult: 9.0ms (12.1% of total)

ival-div: 7.0ms (9.4% of total)

ival-sqrt: 2.0ms (2.7% of total)

ival-fabs: 2.0ms (2.7% of total)

adjust: 1.0ms (1.3% of total)

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

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

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

exact: 0.0ms (0% of total)

series50.0ms (0.8%)

Memory

-19.8MiB live, 18.0MiB allocated

Counts

17 → 50

Calls

Call 1

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

Outputs
(* 1/2 (fabs (- x y)))
(+ x (* 1/2 (fabs (- x y))))
(/ 2 (fabs (- x y)))
(+ (* -4 (/ x (pow (fabs (- x y)) 2))) (* 2 (/ 1 (fabs (- x y)))))
(+ (* x (- (* 8 (/ x (pow (fabs (- x y)) 3))) (* 4 (/ 1 (pow (fabs (- x y)) 2))))) (* 2 (/ 1 (fabs (- x y)))))
(+ (* x (- (* x (+ (* -16 (/ x (pow (fabs (- x y)) 4))) (* 8 (/ 1 (pow (fabs (- x y)) 3))))) (* 4 (/ 1 (pow (fabs (- x y)) 2))))) (* 2 (/ 1 (fabs (- x y)))))
(fabs (- x y))
(* -1 y)
(- x y)
(* 1/2 (/ (fabs (- x y)) x))
(/ (+ x (* 1/2 (fabs (- x y)))) x)
(+ x (* -1 y))
(* (sqrt (fabs (- x y))) (sqrt 1/2))
(+ (* 1/2 (* (/ x (sqrt 1/2)) (sqrt (/ 1 (fabs (- x y)))))) (* (sqrt (fabs (- x y))) (sqrt 1/2)))
(+ (* x (+ (* -1/8 (* (/ x (pow (sqrt 1/2) 3)) (sqrt (/ 1 (pow (fabs (- x y)) 3))))) (* 1/2 (* (sqrt (/ 1 (fabs (- x y)))) (/ 1 (sqrt 1/2)))))) (* (sqrt (fabs (- x y))) (sqrt 1/2)))
(+ (* x (+ (* 1/2 (* (sqrt (/ 1 (fabs (- x y)))) (/ 1 (sqrt 1/2)))) (* x (+ (* -1/8 (* (sqrt (/ 1 (pow (fabs (- x y)) 3))) (/ 1 (pow (sqrt 1/2) 3)))) (* 1/16 (* (/ x (pow (sqrt 1/2) 5)) (sqrt (/ 1 (pow (fabs (- x y)) 5))))))))) (* (sqrt (fabs (- x y))) (sqrt 1/2)))
x
(* x (+ 1 (* 1/2 (/ (fabs (- x y)) x))))
(/ 1 x)
(/ (+ 1 (* -1/2 (/ (fabs (- x y)) x))) x)
(/ (- (+ 1 (* 1/4 (/ (pow (fabs (- x y)) 2) (pow x 2)))) (* 1/2 (/ (fabs (- x y)) x))) x)
(/ (- (+ 1 (* -1/8 (/ (pow (fabs (- x y)) 3) (pow x 3)))) (+ (* -1/4 (/ (pow (fabs (- x y)) 2) (pow x 2))) (* 1/2 (/ (fabs (- x y)) x)))) x)
(* x (+ 1 (* -1 (/ y x))))
1
(+ 1 (* 1/2 (/ (fabs (- x y)) x)))
(sqrt x)
(* x (+ (sqrt (/ 1 x)) (* 1/4 (* (sqrt (/ 1 (pow x 3))) (fabs (- x y))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/32 (* (sqrt (/ 1 (pow x 5))) (pow (fabs (- x y)) 2))) (* 1/4 (* (sqrt (/ 1 (pow x 3))) (fabs (- x y)))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/32 (* (sqrt (/ 1 (pow x 5))) (pow (fabs (- x y)) 2))) (+ (* 1/128 (* (sqrt (/ 1 (pow x 7))) (pow (fabs (- x y)) 3))) (* 1/4 (* (sqrt (/ 1 (pow x 3))) (fabs (- x y))))))))
(* -1 (* x (- (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1)))
(* -1 (/ (- (* 1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* 1/4 (/ (pow (fabs (neg (+ y (* -1 x)))) 2) x)) (* 1/2 (fabs (neg (+ y (* -1 x)))))) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (pow (fabs (neg (+ y (* -1 x)))) 3) x)) (* 1/4 (pow (fabs (neg (+ y (* -1 x)))) 2))) x)) (* 1/2 (fabs (neg (+ y (* -1 x)))))) x)) 1) x))
(fabs (neg (+ y (* -1 x))))
(* -1 (* x (- (/ y x) 1)))
(+ 1 (* 1/2 (/ (fabs (neg (+ y (* -1 x)))) x)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (fabs (neg (+ y (* -1 x)))))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1/32 (* (sqrt (/ 1 (pow x 5))) (/ (pow (fabs (neg (+ y (* -1 x)))) 2) (pow (sqrt -1) 2)))) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (fabs (neg (+ y (* -1 x)))))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1/32 (* (sqrt (/ 1 (pow x 5))) (/ (pow (fabs (neg (+ y (* -1 x)))) 2) (pow (sqrt -1) 2)))) (+ (* 1/128 (* (sqrt (/ 1 (pow x 7))) (/ (pow (fabs (neg (+ y (* -1 x)))) 3) (pow (sqrt -1) 4)))) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (fabs (neg (+ y (* -1 x)))))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(/ 1 (+ x (* 1/2 (fabs (- x y)))))
(sqrt (+ x (* 1/2 (fabs (- x y)))))
(* y (- (/ x y) 1))
(+ x (* 1/2 (fabs (+ x (* -1 y)))))
(/ 1 (+ x (* 1/2 (fabs (+ x (* -1 y))))))
(fabs (+ x (* -1 y)))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* x (+ 1 (* 1/2 (/ (fabs (+ x (* -1 y))) x))))
(+ 1 (* 1/2 (/ (fabs (+ x (* -1 y))) x)))
(sqrt (+ x (* 1/2 (fabs (+ x (* -1 y))))))

Calls

6 calls:

Time	Variable		Point	Expression
34.0ms	x	@	inf	((/ 1 (/ 1 (+ (* 1/2 (fabs (- x y))) x))) (/ 1 (+ (* 1/2 (fabs (- x y))) x)) (+ (* 1/2 (fabs (- x y))) x) (fabs (- x y)) (+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (neg y) (* (+ (* (fabs (- x y)) (/ 1/2 x)) 1) x) (+ (* (fabs (- x y)) 1/2) x) (+ (* (fabs (- x y)) (/ 1/2 x)) 1) (* (- 1 (/ y x)) x) (+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (* (sqrt (+ (* 1/2 (fabs (- x y))) x)) (sqrt (+ (* 1/2 (fabs (- x y))) x))) (sqrt (+ (* 1/2 (fabs (- x y))) x)))
4.0ms	x	@	0	((/ 1 (/ 1 (+ (* 1/2 (fabs (- x y))) x))) (/ 1 (+ (* 1/2 (fabs (- x y))) x)) (+ (* 1/2 (fabs (- x y))) x) (fabs (- x y)) (+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (neg y) (* (+ (* (fabs (- x y)) (/ 1/2 x)) 1) x) (+ (* (fabs (- x y)) 1/2) x) (+ (* (fabs (- x y)) (/ 1/2 x)) 1) (* (- 1 (/ y x)) x) (+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (* (sqrt (+ (* 1/2 (fabs (- x y))) x)) (sqrt (+ (* 1/2 (fabs (- x y))) x))) (sqrt (+ (* 1/2 (fabs (- x y))) x)))
3.0ms	x	@	-inf	((/ 1 (/ 1 (+ (* 1/2 (fabs (- x y))) x))) (/ 1 (+ (* 1/2 (fabs (- x y))) x)) (+ (* 1/2 (fabs (- x y))) x) (fabs (- x y)) (+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (neg y) (* (+ (* (fabs (- x y)) (/ 1/2 x)) 1) x) (+ (* (fabs (- x y)) 1/2) x) (+ (* (fabs (- x y)) (/ 1/2 x)) 1) (* (- 1 (/ y x)) x) (+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (* (sqrt (+ (* 1/2 (fabs (- x y))) x)) (sqrt (+ (* 1/2 (fabs (- x y))) x))) (sqrt (+ (* 1/2 (fabs (- x y))) x)))
2.0ms	y	@	-inf	((/ 1 (/ 1 (+ (* 1/2 (fabs (- x y))) x))) (/ 1 (+ (* 1/2 (fabs (- x y))) x)) (+ (* 1/2 (fabs (- x y))) x) (fabs (- x y)) (+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (neg y) (* (+ (* (fabs (- x y)) (/ 1/2 x)) 1) x) (+ (* (fabs (- x y)) 1/2) x) (+ (* (fabs (- x y)) (/ 1/2 x)) 1) (* (- 1 (/ y x)) x) (+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (* (sqrt (+ (* 1/2 (fabs (- x y))) x)) (sqrt (+ (* 1/2 (fabs (- x y))) x))) (sqrt (+ (* 1/2 (fabs (- x y))) x)))
2.0ms	y	@	inf	((/ 1 (/ 1 (+ (* 1/2 (fabs (- x y))) x))) (/ 1 (+ (* 1/2 (fabs (- x y))) x)) (+ (* 1/2 (fabs (- x y))) x) (fabs (- x y)) (+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (neg y) (* (+ (* (fabs (- x y)) (/ 1/2 x)) 1) x) (+ (* (fabs (- x y)) 1/2) x) (+ (* (fabs (- x y)) (/ 1/2 x)) 1) (* (- 1 (/ y x)) x) (+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (* (sqrt (+ (* 1/2 (fabs (- x y))) x)) (sqrt (+ (* 1/2 (fabs (- x y))) x))) (sqrt (+ (* 1/2 (fabs (- x y))) x)))

simplify237.0ms (3.9%)

Memory

-20.0MiB live, 150.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	220	840
1	595	804
2	1783	782
3	6866	779
0	8067	737

Stop Event

1×	iter limit
1×	node limit

Counts

50 → 49

Calls

Call 1

Inputs
(* 1/2 (fabs (- x y)))
(+ x (* 1/2 (fabs (- x y))))
(/ 2 (fabs (- x y)))
(+ (* -4 (/ x (pow (fabs (- x y)) 2))) (* 2 (/ 1 (fabs (- x y)))))
(+ (* x (- (* 8 (/ x (pow (fabs (- x y)) 3))) (* 4 (/ 1 (pow (fabs (- x y)) 2))))) (* 2 (/ 1 (fabs (- x y)))))
(+ (* x (- (* x (+ (* -16 (/ x (pow (fabs (- x y)) 4))) (* 8 (/ 1 (pow (fabs (- x y)) 3))))) (* 4 (/ 1 (pow (fabs (- x y)) 2))))) (* 2 (/ 1 (fabs (- x y)))))
(fabs (- x y))
(* -1 y)
(- x y)
(* 1/2 (/ (fabs (- x y)) x))
(/ (+ x (* 1/2 (fabs (- x y)))) x)
(+ x (* -1 y))
(* (sqrt (fabs (- x y))) (sqrt 1/2))
(+ (* 1/2 (* (/ x (sqrt 1/2)) (sqrt (/ 1 (fabs (- x y)))))) (* (sqrt (fabs (- x y))) (sqrt 1/2)))
(+ (* x (+ (* -1/8 (* (/ x (pow (sqrt 1/2) 3)) (sqrt (/ 1 (pow (fabs (- x y)) 3))))) (* 1/2 (* (sqrt (/ 1 (fabs (- x y)))) (/ 1 (sqrt 1/2)))))) (* (sqrt (fabs (- x y))) (sqrt 1/2)))
(+ (* x (+ (* 1/2 (* (sqrt (/ 1 (fabs (- x y)))) (/ 1 (sqrt 1/2)))) (* x (+ (* -1/8 (* (sqrt (/ 1 (pow (fabs (- x y)) 3))) (/ 1 (pow (sqrt 1/2) 3)))) (* 1/16 (* (/ x (pow (sqrt 1/2) 5)) (sqrt (/ 1 (pow (fabs (- x y)) 5))))))))) (* (sqrt (fabs (- x y))) (sqrt 1/2)))
x
(* x (+ 1 (* 1/2 (/ (fabs (- x y)) x))))
(/ 1 x)
(/ (+ 1 (* -1/2 (/ (fabs (- x y)) x))) x)
(/ (- (+ 1 (* 1/4 (/ (pow (fabs (- x y)) 2) (pow x 2)))) (* 1/2 (/ (fabs (- x y)) x))) x)
(/ (- (+ 1 (* -1/8 (/ (pow (fabs (- x y)) 3) (pow x 3)))) (+ (* -1/4 (/ (pow (fabs (- x y)) 2) (pow x 2))) (* 1/2 (/ (fabs (- x y)) x)))) x)
(* x (+ 1 (* -1 (/ y x))))
1
(+ 1 (* 1/2 (/ (fabs (- x y)) x)))
(sqrt x)
(* x (+ (sqrt (/ 1 x)) (* 1/4 (* (sqrt (/ 1 (pow x 3))) (fabs (- x y))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/32 (* (sqrt (/ 1 (pow x 5))) (pow (fabs (- x y)) 2))) (* 1/4 (* (sqrt (/ 1 (pow x 3))) (fabs (- x y)))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/32 (* (sqrt (/ 1 (pow x 5))) (pow (fabs (- x y)) 2))) (+ (* 1/128 (* (sqrt (/ 1 (pow x 7))) (pow (fabs (- x y)) 3))) (* 1/4 (* (sqrt (/ 1 (pow x 3))) (fabs (- x y))))))))
(* -1 (* x (- (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1)))
(* -1 (/ (- (* 1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* 1/4 (/ (pow (fabs (neg (+ y (* -1 x)))) 2) x)) (* 1/2 (fabs (neg (+ y (* -1 x)))))) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (pow (fabs (neg (+ y (* -1 x)))) 3) x)) (* 1/4 (pow (fabs (neg (+ y (* -1 x)))) 2))) x)) (* 1/2 (fabs (neg (+ y (* -1 x)))))) x)) 1) x))
(fabs (neg (+ y (* -1 x))))
(* -1 (* x (- (/ y x) 1)))
(+ 1 (* 1/2 (/ (fabs (neg (+ y (* -1 x)))) x)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (fabs (neg (+ y (* -1 x)))))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1/32 (* (sqrt (/ 1 (pow x 5))) (/ (pow (fabs (neg (+ y (* -1 x)))) 2) (pow (sqrt -1) 2)))) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (fabs (neg (+ y (* -1 x)))))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1/32 (* (sqrt (/ 1 (pow x 5))) (/ (pow (fabs (neg (+ y (* -1 x)))) 2) (pow (sqrt -1) 2)))) (+ (* 1/128 (* (sqrt (/ 1 (pow x 7))) (/ (pow (fabs (neg (+ y (* -1 x)))) 3) (pow (sqrt -1) 4)))) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (fabs (neg (+ y (* -1 x)))))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(/ 1 (+ x (* 1/2 (fabs (- x y)))))
(sqrt (+ x (* 1/2 (fabs (- x y)))))
(* y (- (/ x y) 1))
(+ x (* 1/2 (fabs (+ x (* -1 y)))))
(/ 1 (+ x (* 1/2 (fabs (+ x (* -1 y))))))
(fabs (+ x (* -1 y)))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* x (+ 1 (* 1/2 (/ (fabs (+ x (* -1 y))) x))))
(+ 1 (* 1/2 (/ (fabs (+ x (* -1 y))) x)))
(sqrt (+ x (* 1/2 (fabs (+ x (* -1 y))))))

Outputs
(* 1/2 (fabs (- x y)))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)))
(+ x (* 1/2 (fabs (- x y))))
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x)
(/ 2 (fabs (- x y)))
(/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y)))
(+ (* -4 (/ x (pow (fabs (- x y)) 2))) (* 2 (/ 1 (fabs (- x y)))))
(fma.f64 (/.f64 #s(literal -4 binary64) (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64))) x (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y))))
(+ (* x (- (* 8 (/ x (pow (fabs (- x y)) 3))) (* 4 (/ 1 (pow (fabs (- x y)) 2))))) (* 2 (/ 1 (fabs (- x y)))))
(fma.f64 (fma.f64 (/.f64 x (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 3 binary64))) #s(literal 8 binary64) (/.f64 #s(literal -4 binary64) (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64)))) x (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y))))
(+ (* x (- (* x (+ (* -16 (/ x (pow (fabs (- x y)) 4))) (* 8 (/ 1 (pow (fabs (- x y)) 3))))) (* 4 (/ 1 (pow (fabs (- x y)) 2))))) (* 2 (/ 1 (fabs (- x y)))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 x (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 4 binary64))) #s(literal -16 binary64) (/.f64 #s(literal 8 binary64) (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 3 binary64)))) x (/.f64 #s(literal -4 binary64) (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64)))) x (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y))))
(fabs (- x y))
(fabs.f64 (-.f64 x y))
(* -1 y)
(neg.f64 y)
(- x y)
(-.f64 x y)
(* 1/2 (/ (fabs (- x y)) x))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (fabs.f64 (-.f64 x y)))
(/ (+ x (* 1/2 (fabs (- x y)))) x)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x) x)
(+ x (* -1 y))
(-.f64 x y)
(* (sqrt (fabs (- x y))) (sqrt 1/2))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (fabs.f64 (-.f64 x y))))
(+ (* 1/2 (* (/ x (sqrt 1/2)) (sqrt (/ 1 (fabs (- x y)))))) (* (sqrt (fabs (- x y))) (sqrt 1/2)))
(fma.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 (-.f64 x y)))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (fabs.f64 (-.f64 x y)))))
(+ (* x (+ (* -1/8 (* (/ x (pow (sqrt 1/2) 3)) (sqrt (/ 1 (pow (fabs (- x y)) 3))))) (* 1/2 (* (sqrt (/ 1 (fabs (- x y)))) (/ 1 (sqrt 1/2)))))) (* (sqrt (fabs (- x y))) (sqrt 1/2)))
(fma.f64 (fma.f64 (.f64 x (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 3 binary64)))) (.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 (-.f64 x y)))))) x (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (fabs.f64 (-.f64 x y)))))
(+ (* x (+ (* 1/2 (* (sqrt (/ 1 (fabs (- x y)))) (/ 1 (sqrt 1/2)))) (* x (+ (* -1/8 (* (sqrt (/ 1 (pow (fabs (- x y)) 3))) (/ 1 (pow (sqrt 1/2) 3)))) (* 1/16 (* (/ x (pow (sqrt 1/2) 5)) (sqrt (/ 1 (pow (fabs (- x y)) 5))))))))) (* (sqrt (fabs (- x y))) (sqrt 1/2)))
(fma.f64 (fma.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 3 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -1/4 binary64) (.f64 (.f64 (/.f64 x (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 5 binary64))) #s(literal 1/16 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 5 binary64)))))) x (.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 (-.f64 x y)))))) x (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (fabs.f64 (-.f64 x y)))))
x
(* x (+ 1 (* 1/2 (/ (fabs (- x y)) x))))
(fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* -1/2 (/ (fabs (- x y)) x))) x)
(/.f64 (fma.f64 (fabs.f64 (-.f64 x y)) (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x)
(/ (- (+ 1 (* 1/4 (/ (pow (fabs (- x y)) 2) (pow x 2)))) (* 1/2 (/ (fabs (- x y)) x))) x)
(/.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/4 binary64) x) (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64)))) x) #s(literal -1 binary64)) x)
(/ (- (+ 1 (* -1/8 (/ (pow (fabs (- x y)) 3) (pow x 3)))) (+ (* -1/4 (/ (pow (fabs (- x y)) 2) (pow x 2))) (* 1/2 (/ (fabs (- x y)) x)))) x)
(/.f64 (fma.f64 (pow.f64 (/.f64 (fabs.f64 (-.f64 x y)) x) #s(literal 3 binary64)) #s(literal -1/8 binary64) (-.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/4 binary64) x) (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64)))) x) #s(literal -1 binary64))) x)
(* x (+ 1 (* -1 (/ y x))))
(fma.f64 (/.f64 (neg.f64 y) x) x x)
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (/ (fabs (- x y)) x)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) x) (fabs.f64 (-.f64 x y)) #s(literal 1 binary64))
(sqrt x)
(sqrt.f64 x)
(* x (+ (sqrt (/ 1 x)) (* 1/4 (* (sqrt (/ 1 (pow x 3))) (fabs (- x y))))))
(.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fabs.f64 (-.f64 x y))) #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)
(* x (+ (sqrt (/ 1 x)) (+ (* -1/32 (* (sqrt (/ 1 (pow x 5))) (pow (fabs (- x y)) 2))) (* 1/4 (* (sqrt (/ 1 (pow x 3))) (fabs (- x y)))))))
(.f64 (fma.f64 (fabs.f64 (-.f64 x y)) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/32 binary64)) (fabs.f64 (-.f64 x y)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)
(* x (+ (sqrt (/ 1 x)) (+ (* -1/32 (* (sqrt (/ 1 (pow x 5))) (pow (fabs (- x y)) 2))) (+ (* 1/128 (* (sqrt (/ 1 (pow x 7))) (pow (fabs (- x y)) 3))) (* 1/4 (* (sqrt (/ 1 (pow x 3))) (fabs (- x y))))))))
(.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 3 binary64))) #s(literal 1/128 binary64) (fma.f64 (fabs.f64 (-.f64 x y)) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/32 binary64)) (fabs.f64 (-.f64 x y)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
(* -1 (* x (- (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1)))
(fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)
(* -1 (/ (- (* 1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1) x))
(/.f64 (fma.f64 (fabs.f64 (-.f64 x y)) (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x)
(* -1 (/ (- (* -1 (/ (- (* 1/4 (/ (pow (fabs (neg (+ y (* -1 x)))) 2) x)) (* 1/2 (fabs (neg (+ y (* -1 x)))))) x)) 1) x))
(/.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/4 binary64) x) (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64)))) x) #s(literal -1 binary64)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (pow (fabs (neg (+ y (* -1 x)))) 3) x)) (* 1/4 (pow (fabs (neg (+ y (* -1 x)))) 2))) x)) (* 1/2 (fabs (neg (+ y (* -1 x)))))) x)) 1) x))
(/.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) (/.f64 (fma.f64 (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 3 binary64)) (/.f64 #s(literal -1/8 binary64) x) (*.f64 #s(literal 1/4 binary64) (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64)))) x)) x) #s(literal -1 binary64)) x)
(fabs (neg (+ y (* -1 x))))
(fabs.f64 (-.f64 x y))
(* -1 (* x (- (/ y x) 1)))
(fma.f64 (/.f64 (neg.f64 y) x) x x)
(+ 1 (* 1/2 (/ (fabs (neg (+ y (* -1 x)))) x)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) x) (fabs.f64 (-.f64 x y)) #s(literal 1 binary64))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* x (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (fabs (neg (+ y (* -1 x)))))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (fabs.f64 (-.f64 x y))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (neg.f64 x))
(* -1 (* x (+ (* -1/32 (* (sqrt (/ 1 (pow x 5))) (/ (pow (fabs (neg (+ y (* -1 x)))) 2) (pow (sqrt -1) 2)))) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (fabs (neg (+ y (* -1 x)))))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64))) #s(literal 1/32 binary64) (fma.f64 (*.f64 #s(literal 1/4 binary64) (fabs.f64 (-.f64 x y))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (neg.f64 x))
(* -1 (* x (+ (* -1/32 (* (sqrt (/ 1 (pow x 5))) (/ (pow (fabs (neg (+ y (* -1 x)))) 2) (pow (sqrt -1) 2)))) (+ (* 1/128 (* (sqrt (/ 1 (pow x 7))) (/ (pow (fabs (neg (+ y (* -1 x)))) 3) (pow (sqrt -1) 4)))) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (fabs (neg (+ y (* -1 x)))))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 3 binary64))) (/.f64 #s(literal 1/128 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64))) #s(literal 1/32 binary64) (fma.f64 (.f64 #s(literal 1/4 binary64) (fabs.f64 (-.f64 x y))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) (neg.f64 x))
(/ 1 (+ x (* 1/2 (fabs (- x y)))))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x))
(sqrt (+ x (* 1/2 (fabs (- x y)))))
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x))
(* y (- (/ x y) 1))
(fma.f64 (/.f64 x y) y (neg.f64 y))
(+ x (* 1/2 (fabs (+ x (* -1 y)))))
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x)
(/ 1 (+ x (* 1/2 (fabs (+ x (* -1 y))))))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x))
(fabs (+ x (* -1 y)))
(fabs.f64 (-.f64 x y))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(fma.f64 (/.f64 x y) y (neg.f64 y))
(* x (+ 1 (* 1/2 (/ (fabs (+ x (* -1 y))) x))))
(fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)
(+ 1 (* 1/2 (/ (fabs (+ x (* -1 y))) x)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) x) (fabs.f64 (-.f64 x y)) #s(literal 1 binary64))
(sqrt (+ x (* 1/2 (fabs (+ x (* -1 y))))))
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x))

rewrite344.0ms (5.7%)

Memory

31.9MiB live, 190.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	166
0	51	151
1	189	151
2	1270	151
0	8751	151

Stop Event

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

Counts

17 → 651

Calls

Call 1

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

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

eval571.0ms (9.5%)

Memory: -13.7MiB live, 107.1MiB allocated
Compiler: Compiled 17 703 to 1 853 computations (89.5% saved)

prune122.0ms (2%)

Memory

2.4MiB live, 40.0MiB allocated

Pruning

9 alts after pruning (3 fresh and 6 done)

	Pruned	Kept	Total
New	618	2	620
Fresh	1	1	2
Picked	1	4	5
Done	0	2	2
Total	620	9	629

Accuracy

100.0%

Counts

629 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.2%	(fma.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64)) x)
✓	99.9%	(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
✓	86.7%	(fma.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) #s(literal 1/2 binary64) x)
✓	59.7%	(fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x)
✓	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x)))
✓	99.7%	(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y)))))
▶	86.4%	#s(approx (+ (* (fabs (- x y)) 1/2) x) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (fabs.f64 (-.f64 y x)) #s(literal 1 binary64)))))
✓	86.5%	#s(approx (+ (* (fabs (- x y)) 1/2) x) (*.f64 (fma.f64 (fabs.f64 (-.f64 x y)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x))
▶	11.2%	#s(approx (+ (* (fabs (- x y)) 1/2) x) (.f64 #s(approx (+ ( (fabs (- x y)) (/ 1/2 x)) 1) #s(literal 1 binary64)) x))

Compiler

Compiled 136 to 97 computations (28.7% saved)

simplify81.0ms (1.3%)

Memory

11.6MiB live, 97.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

New	Metric	Score
cost-diff	0	(fabs.f64 (-.f64 x y))
cost-diff	0	(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)))
cost-diff	2240	(fma.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64)) x)
cost-diff	5824	(pow.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64))
cost-diff	0	(fma.f64 (/.f64 #s(literal 1/2 binary64) x) (fabs.f64 (-.f64 y x)) #s(literal 1 binary64))
cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (fabs.f64 (-.f64 y x)) #s(literal 1 binary64)))
cost-diff	0	#s(approx (+ (* (fabs (- x y)) 1/2) x) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (fabs.f64 (-.f64 y x)) #s(literal 1 binary64)))))
cost-diff	2112	(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (fabs.f64 (-.f64 y x)) #s(literal 1 binary64))))
cost-diff	0	#s(approx (+ (* (fabs (- x y)) (/ 1/2 x)) 1) #s(literal 1 binary64))
cost-diff	0	(.f64 #s(approx (+ ( (fabs (- x y)) (/ 1/2 x)) 1) #s(literal 1 binary64)) x)
cost-diff	0	#s(approx (+ (* (fabs (- x y)) 1/2) x) (.f64 #s(approx (+ ( (fabs (- x y)) (/ 1/2 x)) 1) #s(literal 1 binary64)) x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	162
0	41	153
1	65	147
2	86	147
3	136	147
4	280	138
5	489	138
6	903	138
7	3015	138
8	6139	138
0	8204	133

Stop Event

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

Calls

Call 1

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

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

localize95.0ms (1.6%)

Memory

-31.9MiB live, 132.8MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)))
accuracy	0	(fabs.f64 (-.f64 x y))
accuracy	0.01171875	(pow.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64))
accuracy	0.4921875	(fma.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64)) x)
accuracy	0	#s(approx (+ (* (fabs (- x y)) 1/2) x) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (fabs.f64 (-.f64 y x)) #s(literal 1 binary64)))))
accuracy	0.11328125	(fma.f64 (/.f64 #s(literal 1/2 binary64) x) (fabs.f64 (-.f64 y x)) #s(literal 1 binary64))
accuracy	0.7330680511445916	(/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (fabs.f64 (-.f64 y x)) #s(literal 1 binary64)))
accuracy	7.834374840165149	(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (fabs.f64 (-.f64 y x)) #s(literal 1 binary64))))
accuracy	0	#s(approx (+ (* (fabs (- x y)) 1/2) x) (.f64 #s(approx (+ ( (fabs (- x y)) (/ 1/2 x)) 1) #s(literal 1 binary64)) x))
accuracy	8.526116144313786	(.f64 #s(approx (+ ( (fabs (- x y)) (/ 1/2 x)) 1) #s(literal 1 binary64)) x)
accuracy	56.919729656010595	#s(approx (+ (* (fabs (- x y)) (/ 1/2 x)) 1) #s(literal 1 binary64))

Samples

43.0ms	236×	0	valid
6.0ms	11×	2	valid
3.0ms	8×	1	valid
1.0ms	1×	3	valid

Compiler

Compiled 297 to 52 computations (82.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-mult: 12.0ms (35.4% of total)

ival-div: 7.0ms (20.7% of total)

ival-add: 5.0ms (14.8% of total)

ival-sub: 3.0ms (8.9% of total)

ival-fabs: 3.0ms (8.9% of total)

ival-sqrt: 2.0ms (5.9% of total)

adjust: 1.0ms (3% of total)

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

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

exact: 0.0ms (0% of total)

series22.0ms (0.4%)

Memory

17.5MiB live, 17.5MiB allocated

Counts

11 → 48

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
9.0ms	y	@	inf	((+ (* (fabs (- x y)) 1/2) x) (* (+ (* (fabs (- x y)) (/ 1/2 x)) 1) x) (+ (* (fabs (- x y)) (/ 1/2 x)) 1) (/ x (/ 1 (+ (* (/ 1/2 x) (fabs (- y x))) 1))) (+ (* (fabs (- x y)) 1/2) x) (/ 1 (+ (* (/ 1/2 x) (fabs (- y x))) 1)) (+ (* (/ 1/2 x) (fabs (- y x))) 1) (pow (* 1/2 (fabs (- x y))) 1/2) (+ (* (pow (* 1/2 (fabs (- x y))) 1/2) (pow (* 1/2 (fabs (- x y))) 1/2)) x) (* 1/2 (fabs (- x y))) (fabs (- x y)))
3.0ms	y	@	-inf	((+ (* (fabs (- x y)) 1/2) x) (* (+ (* (fabs (- x y)) (/ 1/2 x)) 1) x) (+ (* (fabs (- x y)) (/ 1/2 x)) 1) (/ x (/ 1 (+ (* (/ 1/2 x) (fabs (- y x))) 1))) (+ (* (fabs (- x y)) 1/2) x) (/ 1 (+ (* (/ 1/2 x) (fabs (- y x))) 1)) (+ (* (/ 1/2 x) (fabs (- y x))) 1) (pow (* 1/2 (fabs (- x y))) 1/2) (+ (* (pow (* 1/2 (fabs (- x y))) 1/2) (pow (* 1/2 (fabs (- x y))) 1/2)) x) (* 1/2 (fabs (- x y))) (fabs (- x y)))
3.0ms	y	@	0	((+ (* (fabs (- x y)) 1/2) x) (* (+ (* (fabs (- x y)) (/ 1/2 x)) 1) x) (+ (* (fabs (- x y)) (/ 1/2 x)) 1) (/ x (/ 1 (+ (* (/ 1/2 x) (fabs (- y x))) 1))) (+ (* (fabs (- x y)) 1/2) x) (/ 1 (+ (* (/ 1/2 x) (fabs (- y x))) 1)) (+ (* (/ 1/2 x) (fabs (- y x))) 1) (pow (* 1/2 (fabs (- x y))) 1/2) (+ (* (pow (* 1/2 (fabs (- x y))) 1/2) (pow (* 1/2 (fabs (- x y))) 1/2)) x) (* 1/2 (fabs (- x y))) (fabs (- x y)))
3.0ms	x	@	-inf	((+ (* (fabs (- x y)) 1/2) x) (* (+ (* (fabs (- x y)) (/ 1/2 x)) 1) x) (+ (* (fabs (- x y)) (/ 1/2 x)) 1) (/ x (/ 1 (+ (* (/ 1/2 x) (fabs (- y x))) 1))) (+ (* (fabs (- x y)) 1/2) x) (/ 1 (+ (* (/ 1/2 x) (fabs (- y x))) 1)) (+ (* (/ 1/2 x) (fabs (- y x))) 1) (pow (* 1/2 (fabs (- x y))) 1/2) (+ (* (pow (* 1/2 (fabs (- x y))) 1/2) (pow (* 1/2 (fabs (- x y))) 1/2)) x) (* 1/2 (fabs (- x y))) (fabs (- x y)))
2.0ms	x	@	0	((+ (* (fabs (- x y)) 1/2) x) (* (+ (* (fabs (- x y)) (/ 1/2 x)) 1) x) (+ (* (fabs (- x y)) (/ 1/2 x)) 1) (/ x (/ 1 (+ (* (/ 1/2 x) (fabs (- y x))) 1))) (+ (* (fabs (- x y)) 1/2) x) (/ 1 (+ (* (/ 1/2 x) (fabs (- y x))) 1)) (+ (* (/ 1/2 x) (fabs (- y x))) 1) (pow (* 1/2 (fabs (- x y))) 1/2) (+ (* (pow (* 1/2 (fabs (- x y))) 1/2) (pow (* 1/2 (fabs (- x y))) 1/2)) x) (* 1/2 (fabs (- x y))) (fabs (- x y)))

simplify187.0ms (3.1%)

Memory

-12.3MiB live, 180.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	154	528
1	419	524
2	850	516
3	3184	516
0	8229	479

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 47

Calls

Call 1

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

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

rewrite196.0ms (3.2%)

Memory

25.1MiB live, 210.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	140
0	41	128
1	174	122
2	936	122
0	8806	119

Stop Event

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

Counts

11 → 474

Calls

Call 1

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

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

eval231.0ms (3.8%)

Memory: -177.3MiB live, 203.6MiB allocated
Compiler: Compiled 18 415 to 1 938 computations (89.5% saved)

prune38.0ms (0.6%)

Memory

-1.4MiB live, 46.7MiB allocated

Pruning

10 alts after pruning (3 fresh and 7 done)

	Pruned	Kept	Total
New	616	3	619
Fresh	0	0	0
Picked	2	1	3
Done	0	6	6
Total	618	10	628

Accuracy

100.0%

Counts

628 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.4%	(fma.f64 (*.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64)) (sqrt.f64 (fabs.f64 (-.f64 x y))) x)
	98.8%	(fma.f64 (*.f64 (fabs.f64 (-.f64 x y)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) x)
✓	99.9%	(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
✓	86.7%	(fma.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) #s(literal 1/2 binary64) x)
✓	59.7%	(fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x)
✓	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x)))
✓	99.7%	(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y)))))
	66.1%	#s(approx (+ (* (fabs (- x y)) 1/2) x) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 (fabs.f64 (-.f64 x y)) x) x))
✓	86.5%	#s(approx (+ (* (fabs (- x y)) 1/2) x) (*.f64 (fma.f64 (fabs.f64 (-.f64 x y)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x))
✓	11.2%	#s(approx (+ (* (fabs (- x y)) 1/2) x) (.f64 #s(approx (+ ( (fabs (- x y)) (/ 1/2 x)) 1) #s(literal 1 binary64)) x))

Compiler

Compiled 438 to 190 computations (56.6% saved)

regimes22.0ms (0.4%)

Memory

9.0MiB live, 47.1MiB allocated

Counts

19 → 1

Calls

Call 1

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

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

Calls

3 calls:

10.0ms	(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
6.0ms	y
6.0ms	x

Results

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

Compiler

Compiled 10 to 11 computations (-10% saved)

regimes7.0ms (0.1%)

Memory

-19.4MiB live, 18.8MiB allocated

Counts

2 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
59.7%	1	`x`
59.7%	1	`y`
59.7%	1	`(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))`

Compiler

Compiled 10 to 11 computations (-10% saved)

regimes4.0ms (0.1%)

Memory

16.4MiB live, 16.4MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
11.2%	1	`y`
11.2%	1	`x`
11.2%	1	`(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))`

Compiler

Compiled 10 to 11 computations (-10% saved)

simplify27.0ms (0.5%)

Memory

-2.6MiB live, 78.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	40
1	31	40
2	36	40
3	40	40
4	42	40
5	43	40

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

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

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

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

soundness586.0ms (9.7%)

Memory

-14.5MiB live, 336.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	220	840
1	595	804
2	1783	782
3	6866	779
0	8067	737
0	7	21
0	11	21
1	51	21
2	380	21
3	5345	21
0	8350	20
0	415	1465
1	1270	1326
2	3537	1180
0	8566	1094

Stop Event

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

Compiler

Compiled 114 to 81 computations (28.9% saved)

preprocess23.0ms (0.4%)

Memory: 19.6MiB live, 54.9MiB allocated
Compiler: Compiled 96 to 60 computations (37.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

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

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

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

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

start0.0ms (0%)

analyze0.0ms (0%)

sample1.1s (17.8%)

explain136.0ms (2.3%)

preprocess42.0ms (0.7%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify21.0ms (0.4%)

localize19.0ms (0.3%)

series4.0ms (0.1%)

simplify156.0ms (2.6%)

rewrite285.0ms (4.7%)

eval63.0ms (1%)

prune10.0ms (0.2%)

simplify155.0ms (2.6%)

localize126.0ms (2.1%)

series26.0ms (0.4%)

simplify313.0ms (5.2%)

rewrite196.0ms (3.2%)

eval238.0ms (3.9%)

prune40.0ms (0.7%)

simplify170.0ms (2.8%)

localize124.0ms (2.1%)

series50.0ms (0.8%)

simplify237.0ms (3.9%)

rewrite344.0ms (5.7%)

eval571.0ms (9.5%)

prune122.0ms (2%)

simplify81.0ms (1.3%)

localize95.0ms (1.6%)

series22.0ms (0.4%)

simplify187.0ms (3.1%)

rewrite196.0ms (3.2%)

eval231.0ms (3.8%)

prune38.0ms (0.6%)

regimes22.0ms (0.4%)

regimes7.0ms (0.1%)

regimes4.0ms (0.1%)

simplify27.0ms (0.5%)

soundness586.0ms (9.7%)

preprocess23.0ms (0.4%)

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