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

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 (12.2%)

Memory

14.9MiB live, 1 036.7MiB allocated

Samples

792.0ms	7 939×	0	valid
27.0ms	101×	2	valid
20.0ms	63×	3	valid
12.0ms	153×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 395.0ms

ival-div: 115.0ms (29.1% of total)

ival-sub: 114.0ms (28.8% of total)

ival-fabs: 83.0ms (21% of total)

ival-add: 38.0ms (9.6% of total)

adjust: 31.0ms (7.8% of total)

ival-true: 6.0ms (1.5% of total)

exact: 5.0ms (1.3% of total)

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

Bogosity

preprocess172.0ms (1.9%)

Memory

-21.8MiB live, 119.8MiB allocated

Algorithm

2×	egg-herbie

Rules

192×	`accelerator-lowering-fma.f32`
192×	`accelerator-lowering-fma.f64`
112×	`-lowering-.f32`
112×	`-lowering-.f64`
108×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	56
1	52	48
2	135	48
3	262	48
4	382	48
5	459	48
6	522	48
7	565	48
8	569	48
9	572	48
10	574	48
0	7	8
1	12	8
2	19	8
3	27	8
4	46	8
5	93	8
6	151	8
7	180	8
8	225	8
9	261	8
10	297	8
11	309	8
12	315	8
13	318	8
14	320	8
0	320	7

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(+ x (/ (fabs (- y x)) 2))

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

Call 2

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

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

explain81.0ms (0.9%)

Memory

-17.5MiB live, 215.1MiB 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

33.0ms	494×	0	valid
1.0ms	8×	2	valid
1.0ms	8×	1	valid
0.0ms	2×	3	valid

Compiler

Compiled 72 to 32 computations (55.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-fabs: 8.0ms (38.7% of total)

ival-div: 5.0ms (24.2% of total)

ival-sub: 4.0ms (19.3% of total)

ival-add: 2.0ms (9.7% of total)

adjust: 0.0ms (0% of total)

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

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 10 to 7 computations (30% saved)

simplify20.0ms (0.2%)

Memory

-3.1MiB live, 38.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

192×	`accelerator-lowering-fma.f32`
192×	`accelerator-lowering-fma.f64`
112×	`-lowering-.f32`
112×	`-lowering-.f64`
64×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	24
1	12	24
2	19	24
3	27	24
4	46	24
5	93	24
6	151	24
7	180	24
8	225	24
9	261	24
10	297	24
11	309	24
12	315	24
13	318	24
14	320	24
0	320	23

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(+ x (/ (fabs (- y x)) 2))
x
(/ (fabs (- y x)) 2)
(fabs (- y x))
(- y x)
y
2

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

localize21.0ms (0.2%)

Memory

18.5MiB live, 58.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))
✓	accuracy	100.0%	(-.f64 y x)
✓	accuracy	100.0%	(fabs.f64 (-.f64 y x))
✓	accuracy	99.9%	(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))

Samples

13.0ms	247×	0	valid
1.0ms	4×	2	valid
0.0ms	4×	1	valid
0.0ms	1×	3	valid

Compiler

Compiled 26 to 9 computations (65.4% saved)

Precisions

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

ival-div: 2.0ms (28.4% of total)

ival-sub: 2.0ms (28.4% of total)

ival-add: 2.0ms (28.4% of total)

ival-fabs: 1.0ms (14.2% of total)

adjust: 0.0ms (0% of total)

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

exact: 0.0ms (0% of total)

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

series4.0ms (0%)

Memory

11.3MiB live, 11.3MiB allocated

Counts

4 → 96

Calls

Call 1

Inputs
#<alt (/ (fabs (- y x)) 2)>
#<alt (+ x (/ (fabs (- y x)) 2))>
#<alt (fabs (- y x))>
#<alt (- y x)>

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

Calls

24 calls:

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

rewrite501.0ms (5.6%)

Memory

-3.1MiB live, 508.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 906×	`accelerator-lowering-fma.f32`
4 906×	`accelerator-lowering-fma.f64`
4 404×	`-lowering-.f32`
4 404×	`-lowering-.f64`
2 206×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	21
1	47	21
2	376	21
3	5337	21
0	8337	20

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 239

Calls

Call 1

Inputs
(/ (fabs (- y x)) 2)
(+ x (/ (fabs (- y x)) 2))
(fabs (- y x))
(- y x)

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

simplify211.0ms (2.3%)

Memory

14.9MiB live, 252.5MiB allocated

Algorithm

1×	egg-herbie

Rules

3 132×	`/-lowering-/.f32`
3 132×	`/-lowering-/.f64`
2 520×	`accelerator-lowering-fma.f32`
2 520×	`accelerator-lowering-fma.f64`
2 222×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	479
1	115	479
2	264	479
3	775	479
4	2426	479
5	3227	479
6	4255	479
7	5098	479
8	5671	479
9	6159	479
10	7875	479
0	8354	458

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

Calls

Call 1

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

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

eval42.0ms (0.5%)

Memory: -10.3MiB live, 103.8MiB allocated
Compiler: Compiled 7 637 to 911 computations (88.1% saved)

prune44.0ms (0.5%)

Memory

-5.5MiB live, 121.7MiB allocated

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	323	12	335
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	324	12	336

Accuracy

100.0%

Counts

336 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.3%	(fma.f64 (pow.f64 (.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) x)
▶	99.9%	(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)
▶	47.3%	(/.f64 (fma.f64 (.f64 (-.f64 y x) (-.f64 y x)) #s(literal -1/4 binary64) (.f64 x x)) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal -1/2 binary64) x))
	33.1%	(/.f64 (fma.f64 (.f64 (fabs.f64 (-.f64 y x)) (.f64 (-.f64 y x) (-.f64 y x))) #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (fma.f64 x (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal -1/2 binary64) x) (.f64 (.f64 (-.f64 y x) (-.f64 y x)) #s(literal 1/4 binary64))))
	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)))
	99.3%	(+.f64 x (pow.f64 (pow.f64 (*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
	49.1%	(+.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (+.f64 y x)) (fabs.f64 (*.f64 (-.f64 y x) (+.f64 y x))))) #s(literal 2 binary64)))
	99.8%	(+.f64 x (/.f64 (fabs.f64 (.f64 (+.f64 y x) (.f64 (-.f64 y x) (/.f64 #s(literal 1 binary64) (+.f64 y x))))) #s(literal 2 binary64)))
▶	99.7%	(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 y x)))))
▶	47.2%	(.f64 (fma.f64 (.f64 (-.f64 y x) (-.f64 y x)) #s(literal -1/4 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal -1/2 binary64) x)))
	50.3%	(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))
▶	12.1%	x

Compiler

Compiled 412 to 230 computations (44.2% saved)

simplify228.0ms (2.5%)

Memory

-15.3MiB live, 461.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 y x)
✓	cost-diff	0	(*.f64 (-.f64 y x) (-.f64 y x))
✓	cost-diff	0	(fma.f64 (.f64 (-.f64 y x) (-.f64 y x)) #s(literal -1/4 binary64) (.f64 x x))
✓	cost-diff	320	(.f64 (fma.f64 (.f64 (-.f64 y x) (-.f64 y x)) #s(literal -1/4 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal -1/2 binary64) x)))
✓	cost-diff	0	(-.f64 y x)
✓	cost-diff	0	(*.f64 (-.f64 y x) (-.f64 y x))
✓	cost-diff	0	(fma.f64 (.f64 (-.f64 y x) (-.f64 y x)) #s(literal -1/4 binary64) (.f64 x x))
✓	cost-diff	0	(/.f64 (fma.f64 (.f64 (-.f64 y x) (-.f64 y x)) #s(literal -1/4 binary64) (.f64 x x)) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal -1/2 binary64) x))
✓	cost-diff	0	(fabs.f64 (-.f64 y x))
✓	cost-diff	0	(/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 y x)))
✓	cost-diff	128	(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 y x)))))
✓	cost-diff	1088	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 y x))))
✓	cost-diff	0	(-.f64 y x)
✓	cost-diff	0	(fabs.f64 (-.f64 y x))
✓	cost-diff	0	(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)

Rules

10 058×	`accelerator-lowering-fma.f32`
10 058×	`accelerator-lowering-fma.f64`
2 824×	`unsub-neg`
2 330×	`-lowering-.f32`
2 330×	`-lowering-.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	189
1	42	189
2	67	189
3	169	189
4	641	189
5	2601	189
6	4723	189
7	7656	189
0	8179	178

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize93.0ms (1%)

Memory

1.0MiB live, 200.4MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal -1/2 binary64) x)
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal -1/2 binary64) x))
✓	accuracy	77.0%	(fma.f64 (.f64 (-.f64 y x) (-.f64 y x)) #s(literal -1/4 binary64) (.f64 x x))
✓	accuracy	49.2%	(.f64 (fma.f64 (.f64 (-.f64 y x) (-.f64 y x)) #s(literal -1/4 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal -1/2 binary64) x)))
✓	accuracy	100.0%	(*.f64 (-.f64 y x) (-.f64 y x))
✓	accuracy	99.9%	(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal -1/2 binary64) x)
✓	accuracy	77.0%	(fma.f64 (.f64 (-.f64 y x) (-.f64 y x)) #s(literal -1/4 binary64) (.f64 x x))
✓	accuracy	49.3%	(/.f64 (fma.f64 (.f64 (-.f64 y x) (-.f64 y x)) #s(literal -1/4 binary64) (.f64 x x)) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal -1/2 binary64) x))
✓	accuracy	100.0%	(fabs.f64 (-.f64 y x))
✓	accuracy	100.0%	(/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 y x)))
✓	accuracy	99.9%	(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 y x)))))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 y x))))
✓	accuracy	100.0%	(-.f64 y x)
✓	accuracy	100.0%	(fabs.f64 (-.f64 y x))
✓	accuracy	99.9%	(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)

Samples

37.0ms	223×	0	valid
5.0ms	12×	2	valid
5.0ms	16×	1	valid
3.0ms	5×	3	valid

Compiler

Compiled 187 to 25 computations (86.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-mult: 11.0ms (34% of total)

ival-div: 10.0ms (31% of total)

ival-add: 5.0ms (15.5% of total)

ival-sub: 2.0ms (6.2% of total)

ival-fabs: 2.0ms (6.2% of total)

adjust: 1.0ms (3.1% of total)

exact: 1.0ms (3.1% of total)

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

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

series22.0ms (0.2%)

Memory

8.0MiB live, 48.4MiB allocated

Counts

12 → 288

Calls

Call 1

Inputs
#<alt (+ (* (fabs (- y x)) 1/2) x)>
#<alt (fabs (- y x))>
#<alt (- y x)>
#<alt (/ 1 (/ 2 (fabs (- y x))))>
#<alt (+ x (/ 1 (/ 2 (fabs (- y x)))))>
#<alt (/ 2 (fabs (- y x)))>
#<alt (/ (+ (* (* (- y x) (- y x)) -1/4) (* x x)) (+ (* (fabs (- y x)) -1/2) x))>
#<alt (+ (* (* (- y x) (- y x)) -1/4) (* x x))>
#<alt (* (- y x) (- y x))>
#<alt (* (+ (* (* (- y x) (- y x)) -1/4) (* x x)) (/ 1 (+ (* (fabs (- y x)) -1/2) x)))>
#<alt (+ (* (fabs (- y x)) -1/2) x)>
#<alt (/ 1 (+ (* (fabs (- y x)) -1/2) x))>

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

Calls

72 calls:

Time	Variable		Point	Expression
2.0ms	y	@	inf	(/ 1 (+ (* (fabs (- y x)) -1/2) x))
2.0ms	x	@	inf	(/ (+ (* (* (- y x) (- y x)) -1/4) (* x x)) (+ (* (fabs (- y x)) -1/2) x))
1.0ms	x	@	inf	(/ 2 (fabs (- y x)))
1.0ms	y	@	-inf	(/ (+ (* (* (- y x) (- y x)) -1/4) (* x x)) (+ (* (fabs (- y x)) -1/2) x))
1.0ms	x	@	0	(/ (+ (* (* (- y x) (- y x)) -1/4) (* x x)) (+ (* (fabs (- y x)) -1/2) x))

rewrite441.0ms (4.9%)

Memory

15.6MiB live, 640.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

10 256×	`accelerator-lowering-fma.f32`
10 256×	`accelerator-lowering-fma.f64`
4 548×	`-lowering-.f32`
4 548×	`-lowering-.f64`
2 864×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	85
1	131	85
2	1053	85
0	8934	78

Stop Event

1×	iter limit
1×	node limit

Counts

12 → 1 204

Calls

Call 1

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

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

simplify511.0ms (5.7%)

Memory

4.5MiB live, 601.6MiB allocated

Algorithm

1×	egg-herbie

Rules

8 922×	`accelerator-lowering-fma.f32`
8 922×	`accelerator-lowering-fma.f64`
4 554×	`-lowering-.f32`
4 554×	`-lowering-.f64`
4 006×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	364	4105
1	1112	3925
2	3029	3697
0	8269	3433

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 288

Calls

Call 1

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

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

eval355.0ms (4%)

Memory: 12.2MiB live, 591.7MiB allocated
Compiler: Compiled 88 032 to 3 417 computations (96.1% saved)

prune204.0ms (2.3%)

Memory

8.3MiB live, 520.4MiB allocated

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	2 517	8	2 525
Fresh	4	3	7
Picked	3	2	5
Done	0	0	0
Total	2 524	13	2 537

Accuracy

100.0%

Counts

2 537 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.3%	(fma.f64 (pow.f64 (.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) x)
✓	99.9%	(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)
▶	54.6%	(fma.f64 (fabs.f64 (neg.f64 x)) #s(literal 1/2 binary64) x)
	55.5%	(fma.f64 (fabs.f64 y) #s(literal 1/2 binary64) x)
	88.8%	(fma.f64 x (*.f64 (fabs.f64 (-.f64 x y)) (/.f64 #s(literal 1/2 binary64) x)) x)
	47.7%	(/.f64 (fma.f64 x x (.f64 (-.f64 y x) (.f64 (-.f64 y x) #s(literal -1/4 binary64)))) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal -1/2 binary64) x))
	27.8%	(/.f64 (.f64 (.f64 x x) #s(literal 3/4 binary64)) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal -1/2 binary64) x))
▶	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)))
	99.3%	(+.f64 x (pow.f64 (pow.f64 (*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
▶	54.5%	(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 (neg.f64 x)))))
▶	27.7%	(.f64 (.f64 (*.f64 x x) #s(literal 3/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal -1/2 binary64) x)))
▶	12.0%	(*.f64 x #s(literal 3/4 binary64))
✓	12.1%	x

Compiler

Compiled 302 to 192 computations (36.4% saved)

simplify100.0ms (1.1%)

Memory

-14.1MiB live, 84.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal -1/2 binary64) x))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 (.f64 x x) #s(literal 3/4 binary64))
✓	cost-diff	320	(.f64 (.f64 (*.f64 x x) #s(literal 3/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal -1/2 binary64) x)))
✓	cost-diff	0	(/.f64 #s(literal 2 binary64) (fabs.f64 (neg.f64 x)))
✓	cost-diff	128	(fabs.f64 (neg.f64 x))
✓	cost-diff	128	(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 (neg.f64 x)))))
✓	cost-diff	1088	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 (neg.f64 x))))
✓	cost-diff	0	(neg.f64 x)
✓	cost-diff	0	(fma.f64 (fabs.f64 (neg.f64 x)) #s(literal 1/2 binary64) x)
✓	cost-diff	128	(fabs.f64 (neg.f64 x))
✓	cost-diff	0	(*.f64 x #s(literal 3/4 binary64))
✓	cost-diff	0	(fabs.f64 (-.f64 y x))
✓	cost-diff	0	(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x))
✓	cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)))

Rules

792×	`accelerator-lowering-fma.f32`
792×	`accelerator-lowering-fma.f64`
616×	`-lowering-.f32`
616×	`-lowering-.f64`
216×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	129
1	54	127
2	99	127
3	157	127
4	264	127
5	415	127
6	491	127
7	659	127
8	1060	127
9	1406	127
10	1507	127
11	1546	127
12	1581	127
13	1582	127
14	1582	127
0	1582	119

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize211.0ms (2.3%)

Memory

26.1MiB live, 221.7MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal -1/2 binary64) x)
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal -1/2 binary64) x))
✓	accuracy	99.8%	(.f64 (.f64 x x) #s(literal 3/4 binary64))
✓	accuracy	73.9%	(.f64 (.f64 (*.f64 x x) #s(literal 3/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal -1/2 binary64) x)))
✓	accuracy	100.0%	(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 (neg.f64 x)))))
✓	accuracy	100.0%	(neg.f64 x)
✓	accuracy	100.0%	(fabs.f64 (neg.f64 x))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 (neg.f64 x))))
✓	accuracy	100.0%	(fma.f64 (fabs.f64 (neg.f64 x)) #s(literal 1/2 binary64) x)
✓	accuracy	100.0%	(neg.f64 x)
✓	accuracy	100.0%	(fabs.f64 (neg.f64 x))
✓	accuracy	100.0%	(*.f64 x #s(literal 3/4 binary64))
✓	accuracy	100.0%	(fabs.f64 (-.f64 y x))
✓	accuracy	100.0%	(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x))
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)))

Samples

47.0ms	192×	0	valid
42.0ms	53×	5	exit
3.0ms	6×	2	valid
1.0ms	4×	1	valid
1.0ms	1×	3	valid

Compiler

Compiled 138 to 29 computations (79% saved)

Precisions

Click to see histograms. Total time spent on operations: 50.0ms

ival-div: 16.0ms (31.7% of total)

ival-mult: 14.0ms (27.7% of total)

ival-add: 7.0ms (13.9% of total)

adjust: 5.0ms (9.9% of total)

ival-fabs: 4.0ms (7.9% of total)

ival-sub: 2.0ms (4% of total)

exact: 1.0ms (2% of total)

ival-neg: 1.0ms (2% of total)

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

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

series19.0ms (0.2%)

Memory

3.4MiB live, 41.1MiB allocated

Counts

16 → 276

Calls

Call 1

Inputs
#<alt (/ 1 (/ 1 (+ (* (fabs (- y x)) 1/2) x)))>
#<alt (/ 1 (+ (* (fabs (- y x)) 1/2) x))>
#<alt (+ (* (fabs (- y x)) 1/2) x)>
#<alt (fabs (- y x))>
#<alt (* x 3/4)>
#<alt (fabs (neg x))>
#<alt (+ (* (fabs (neg x)) 1/2) x)>
#<alt (neg x)>
#<alt (/ 1 (/ 2 (fabs (neg x))))>
#<alt (+ x (/ 1 (/ 2 (fabs (neg x)))))>
#<alt (/ 2 (fabs (neg x)))>
#<alt (* (* (* x x) 3/4) (/ 1 (+ (* (fabs (- y x)) -1/2) x)))>
#<alt (* (* x x) 3/4)>
#<alt (* x x)>
#<alt (/ 1 (+ (* (fabs (- y x)) -1/2) x))>
#<alt (+ (* (fabs (- y x)) -1/2) x)>

Outputs
#<alt (+ x (* 1/2 (fabs (- y x))))>
#<alt (+ x (* 1/2 (fabs (- y x))))>
#<alt (+ x (* 1/2 (fabs (- y x))))>
#<alt (+ x (* 1/2 (fabs (- y x))))>
#<alt (+ x (* 1/2 (fabs (- y x))))>
#<alt (+ x (* 1/2 (fabs (- y x))))>
#<alt (+ x (* 1/2 (fabs (- y x))))>
#<alt (+ x (* 1/2 (fabs (- y x))))>
#<alt (+ x (* 1/2 (fabs (neg (+ x (* -1 y))))))>
#<alt (+ x (* 1/2 (fabs (neg (+ x (* -1 y))))))>
#<alt (+ x (* 1/2 (fabs (neg (+ x (* -1 y))))))>
#<alt (+ x (* 1/2 (fabs (neg (+ x (* -1 y))))))>
#<alt (* 1/2 (fabs (- y x)))>
#<alt (+ x (* 1/2 (fabs (- y x))))>
#<alt (+ x (* 1/2 (fabs (- y x))))>
#<alt (+ x (* 1/2 (fabs (- y x))))>
#<alt x>
#<alt (* x (+ 1 (* 1/2 (/ (fabs (- y x)) x))))>
#<alt (* x (+ 1 (* 1/2 (/ (fabs (- y x)) x))))>
#<alt (* x (+ 1 (* 1/2 (/ (fabs (- y x)) x))))>
#<alt x>
#<alt (* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1)))>
#<alt (* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1)))>
#<alt (* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1)))>
#<alt (/ 1 (+ x (* 1/2 (fabs (- y x)))))>
#<alt (/ 1 (+ x (* 1/2 (fabs (- y x)))))>
#<alt (/ 1 (+ x (* 1/2 (fabs (- y x)))))>
#<alt (/ 1 (+ x (* 1/2 (fabs (- y x)))))>
#<alt (/ 1 (+ x (* 1/2 (fabs (- y x)))))>
#<alt (/ 1 (+ x (* 1/2 (fabs (- y x)))))>
#<alt (/ 1 (+ x (* 1/2 (fabs (- y x)))))>
#<alt (/ 1 (+ x (* 1/2 (fabs (- y x)))))>
#<alt (/ 1 (+ x (* 1/2 (fabs (neg (+ x (* -1 y)))))))>
#<alt (/ 1 (+ x (* 1/2 (fabs (neg (+ x (* -1 y)))))))>
#<alt (/ 1 (+ x (* 1/2 (fabs (neg (+ x (* -1 y)))))))>
#<alt (/ 1 (+ x (* 1/2 (fabs (neg (+ x (* -1 y)))))))>
#<alt (/ 2 (fabs (- y x)))>
#<alt (+ (* -4 (/ x (pow (fabs (- y x)) 2))) (* 2 (/ 1 (fabs (- y x)))))>
#<alt (+ (* x (- (* 8 (/ x (pow (fabs (- y x)) 3))) (* 4 (/ 1 (pow (fabs (- y x)) 2))))) (* 2 (/ 1 (fabs (- y x)))))>
#<alt (+ (* x (- (* x (+ (* -16 (/ x (pow (fabs (- y x)) 4))) (* 8 (/ 1 (pow (fabs (- y x)) 3))))) (* 4 (/ 1 (pow (fabs (- y x)) 2))))) (* 2 (/ 1 (fabs (- y x)))))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* -1/2 (/ (fabs (- y x)) x))) x)>
#<alt (/ (- (+ 1 (* 1/4 (/ (pow (fabs (- y x)) 2) (pow x 2)))) (* 1/2 (/ (fabs (- y x)) x))) x)>
#<alt (/ (- (+ 1 (* -1/8 (/ (pow (fabs (- y x)) 3) (pow x 3)))) (+ (* -1/4 (/ (pow (fabs (- y x)) 2) (pow x 2))) (* 1/2 (/ (fabs (- y x)) x)))) x)>
#<alt (/ 1 x)>
#<alt (* -1 (/ (- (* 1/2 (/ (fabs (+ y (* -1 x))) x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ (pow (fabs (+ y (* -1 x))) 2) x)) (* 1/2 (fabs (+ y (* -1 x))))) x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (pow (fabs (+ y (* -1 x))) 3) x)) (* 1/4 (pow (fabs (+ y (* -1 x))) 2))) x)) (* 1/2 (fabs (+ y (* -1 x))))) x)) 1) x))>
#<alt (+ x (* 1/2 (fabs (- y x))))>
#<alt (+ x (* 1/2 (fabs (- y x))))>
#<alt (+ x (* 1/2 (fabs (- y x))))>
#<alt (+ x (* 1/2 (fabs (- y x))))>
#<alt (+ x (* 1/2 (fabs (- y x))))>
#<alt (+ x (* 1/2 (fabs (- y x))))>
#<alt (+ x (* 1/2 (fabs (- y x))))>
#<alt (+ x (* 1/2 (fabs (- y x))))>
#<alt (+ x (* 1/2 (fabs (neg (+ x (* -1 y))))))>
#<alt (+ x (* 1/2 (fabs (neg (+ x (* -1 y))))))>
#<alt (+ x (* 1/2 (fabs (neg (+ x (* -1 y))))))>
#<alt (+ x (* 1/2 (fabs (neg (+ x (* -1 y))))))>
#<alt (* 1/2 (fabs (- y x)))>
#<alt (+ x (* 1/2 (fabs (- y x))))>
#<alt (+ x (* 1/2 (fabs (- y x))))>
#<alt (+ x (* 1/2 (fabs (- y x))))>
#<alt x>
#<alt (* x (+ 1 (* 1/2 (/ (fabs (- y x)) x))))>
#<alt (* x (+ 1 (* 1/2 (/ (fabs (- y x)) x))))>
#<alt (* x (+ 1 (* 1/2 (/ (fabs (- y x)) x))))>
#<alt x>
#<alt (* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1)))>
#<alt (* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1)))>
#<alt (* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1)))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (neg (+ x (* -1 y))))>
#<alt (fabs (neg (+ x (* -1 y))))>
#<alt (fabs (neg (+ x (* -1 y))))>
#<alt (fabs (neg (+ x (* -1 y))))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (+ y (* -1 x)))>
#<alt (fabs (+ y (* -1 x)))>
#<alt (fabs (+ y (* -1 x)))>
#<alt (fabs (+ y (* -1 x)))>
#<alt (* 3/4 x)>
#<alt (* 3/4 x)>
#<alt (* 3/4 x)>
#<alt (* 3/4 x)>
#<alt (* 3/4 x)>
#<alt (* 3/4 x)>
#<alt (* 3/4 x)>
#<alt (* 3/4 x)>
#<alt (* 3/4 x)>
#<alt (* 3/4 x)>
#<alt (* 3/4 x)>
#<alt (* 3/4 x)>
#<alt (fabs (neg x))>
#<alt (fabs (neg x))>
#<alt (fabs (neg x))>
#<alt (fabs (neg x))>
#<alt (fabs (neg x))>
#<alt (fabs (neg x))>
#<alt (fabs (neg x))>
#<alt (fabs (neg x))>
#<alt (fabs (* -1 x))>
#<alt (fabs (* -1 x))>
#<alt (fabs (* -1 x))>
#<alt (fabs (* -1 x))>
#<alt (* 1/2 (fabs (neg x)))>
#<alt (+ x (* 1/2 (fabs (neg x))))>
#<alt (+ x (* 1/2 (fabs (neg x))))>
#<alt (+ x (* 1/2 (fabs (neg x))))>
#<alt x>
#<alt (* x (+ 1 (* 1/2 (/ (fabs (neg x)) x))))>
#<alt (* x (+ 1 (* 1/2 (/ (fabs (neg x)) x))))>
#<alt (* x (+ 1 (* 1/2 (/ (fabs (neg x)) x))))>
#<alt x>
#<alt (* -1 (* x (- (* -1/2 (/ (fabs (* -1 x)) x)) 1)))>
#<alt (* -1 (* x (- (* -1/2 (/ (fabs (* -1 x)) x)) 1)))>
#<alt (* -1 (* x (- (* -1/2 (/ (fabs (* -1 x)) x)) 1)))>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* 1/2 (fabs (neg x)))>
#<alt (* 1/2 (fabs (neg x)))>
#<alt (* 1/2 (fabs (neg x)))>
#<alt (* 1/2 (fabs (neg x)))>
#<alt (* 1/2 (fabs (neg x)))>
#<alt (* 1/2 (fabs (neg x)))>
#<alt (* 1/2 (fabs (neg x)))>
#<alt (* 1/2 (fabs (neg x)))>
#<alt (* 1/2 (fabs (* -1 x)))>
#<alt (* 1/2 (fabs (* -1 x)))>
#<alt (* 1/2 (fabs (* -1 x)))>
#<alt (* 1/2 (fabs (* -1 x)))>
#<alt (* 1/2 (fabs (neg x)))>
#<alt (+ x (* 1/2 (fabs (neg x))))>
#<alt (+ x (* 1/2 (fabs (neg x))))>
#<alt (+ x (* 1/2 (fabs (neg x))))>
#<alt x>
#<alt (* x (+ 1 (* 1/2 (/ (fabs (neg x)) x))))>
#<alt (* x (+ 1 (* 1/2 (/ (fabs (neg x)) x))))>
#<alt (* x (+ 1 (* 1/2 (/ (fabs (neg x)) x))))>
#<alt x>
#<alt (* -1 (* x (- (* -1/2 (/ (fabs (* -1 x)) x)) 1)))>
#<alt (* -1 (* x (- (* -1/2 (/ (fabs (* -1 x)) x)) 1)))>
#<alt (* -1 (* x (- (* -1/2 (/ (fabs (* -1 x)) x)) 1)))>
#<alt (/ 2 (fabs (neg x)))>
#<alt (/ 2 (fabs (neg x)))>
#<alt (/ 2 (fabs (neg x)))>
#<alt (/ 2 (fabs (neg x)))>
#<alt (/ 2 (fabs (neg x)))>
#<alt (/ 2 (fabs (neg x)))>
#<alt (/ 2 (fabs (neg x)))>
#<alt (/ 2 (fabs (neg x)))>
#<alt (/ 2 (fabs (* -1 x)))>
#<alt (/ 2 (fabs (* -1 x)))>
#<alt (/ 2 (fabs (* -1 x)))>
#<alt (/ 2 (fabs (* -1 x)))>
#<alt (* -3/2 (/ (pow x 2) (fabs (- y x))))>
#<alt (* (pow x 2) (- (* -3 (/ x (pow (fabs (- y x)) 2))) (* 3/2 (/ 1 (fabs (- y x))))))>
#<alt (* (pow x 2) (- (* x (- (* -6 (/ x (pow (fabs (- y x)) 3))) (* 3 (/ 1 (pow (fabs (- y x)) 2))))) (* 3/2 (/ 1 (fabs (- y x))))))>
#<alt (* (pow x 2) (- (* x (- (* x (- (* -12 (/ x (pow (fabs (- y x)) 4))) (* 6 (/ 1 (pow (fabs (- y x)) 3))))) (* 3 (/ 1 (pow (fabs (- y x)) 2))))) (* 3/2 (/ 1 (fabs (- y x))))))>
#<alt (* 3/4 x)>
#<alt (* x (+ 3/4 (* 3/8 (/ (fabs (- y x)) x))))>
#<alt (* x (- (+ 3/4 (* 3/16 (/ (pow (fabs (- y x)) 2) (pow x 2)))) (* -3/8 (/ (fabs (- y x)) x))))>
#<alt (* x (- (+ 3/4 (* 3/32 (/ (pow (fabs (- y x)) 3) (pow x 3)))) (+ (* -3/8 (/ (fabs (- y x)) x)) (* -3/16 (/ (pow (fabs (- y x)) 2) (pow x 2))))))>
#<alt (* 3/4 x)>
#<alt (* -1 (* x (- (* -3/8 (/ (fabs (+ y (* -1 x))) x)) 3/4)))>
#<alt (* -1 (* x (- (* -1 (/ (- (* 3/16 (/ (pow (fabs (+ y (* -1 x))) 2) x)) (* -3/8 (fabs (+ y (* -1 x))))) x)) 3/4)))>
#<alt (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* -3/32 (/ (pow (fabs (+ y (* -1 x))) 3) x)) (* 3/16 (pow (fabs (+ y (* -1 x))) 2))) x)) (* -3/8 (fabs (+ y (* -1 x))))) x)) 3/4)))>
#<alt (* 3/4 (/ (pow x 2) (+ x (* -1/2 (fabs (- y x))))))>
#<alt (* 3/4 (/ (pow x 2) (+ x (* -1/2 (fabs (- y x))))))>
#<alt (* 3/4 (/ (pow x 2) (+ x (* -1/2 (fabs (- y x))))))>
#<alt (* 3/4 (/ (pow x 2) (+ x (* -1/2 (fabs (- y x))))))>
#<alt (* 3/4 (/ (pow x 2) (+ x (* -1/2 (fabs (- y x))))))>
#<alt (* 3/4 (/ (pow x 2) (+ x (* -1/2 (fabs (- y x))))))>
#<alt (* 3/4 (/ (pow x 2) (+ x (* -1/2 (fabs (- y x))))))>
#<alt (* 3/4 (/ (pow x 2) (+ x (* -1/2 (fabs (- y x))))))>
#<alt (* 3/4 (/ (pow x 2) (+ x (* -1/2 (fabs (neg (+ x (* -1 y))))))))>
#<alt (* 3/4 (/ (pow x 2) (+ x (* -1/2 (fabs (neg (+ x (* -1 y))))))))>
#<alt (* 3/4 (/ (pow x 2) (+ x (* -1/2 (fabs (neg (+ x (* -1 y))))))))>
#<alt (* 3/4 (/ (pow x 2) (+ x (* -1/2 (fabs (neg (+ x (* -1 y))))))))>
#<alt (* 3/4 (pow x 2))>
#<alt (* 3/4 (pow x 2))>
#<alt (* 3/4 (pow x 2))>
#<alt (* 3/4 (pow x 2))>
#<alt (* 3/4 (pow x 2))>
#<alt (* 3/4 (pow x 2))>
#<alt (* 3/4 (pow x 2))>
#<alt (* 3/4 (pow x 2))>
#<alt (* 3/4 (pow x 2))>
#<alt (* 3/4 (pow x 2))>
#<alt (* 3/4 (pow x 2))>
#<alt (* 3/4 (pow x 2))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (/ 1 (+ x (* -1/2 (fabs (- y x)))))>
#<alt (/ 1 (+ x (* -1/2 (fabs (- y x)))))>
#<alt (/ 1 (+ x (* -1/2 (fabs (- y x)))))>
#<alt (/ 1 (+ x (* -1/2 (fabs (- y x)))))>
#<alt (/ 1 (+ x (* -1/2 (fabs (- y x)))))>
#<alt (/ 1 (+ x (* -1/2 (fabs (- y x)))))>
#<alt (/ 1 (+ x (* -1/2 (fabs (- y x)))))>
#<alt (/ 1 (+ x (* -1/2 (fabs (- y x)))))>
#<alt (/ 1 (+ x (* -1/2 (fabs (neg (+ x (* -1 y)))))))>
#<alt (/ 1 (+ x (* -1/2 (fabs (neg (+ x (* -1 y)))))))>
#<alt (/ 1 (+ x (* -1/2 (fabs (neg (+ x (* -1 y)))))))>
#<alt (/ 1 (+ x (* -1/2 (fabs (neg (+ x (* -1 y)))))))>
#<alt (/ -2 (fabs (- y x)))>
#<alt (- (* -4 (/ x (pow (fabs (- y x)) 2))) (* 2 (/ 1 (fabs (- y x)))))>
#<alt (- (* x (- (* -8 (/ x (pow (fabs (- y x)) 3))) (* 4 (/ 1 (pow (fabs (- y x)) 2))))) (* 2 (/ 1 (fabs (- y x)))))>
#<alt (- (* x (- (* x (- (* -16 (/ x (pow (fabs (- y x)) 4))) (* 8 (/ 1 (pow (fabs (- y x)) 3))))) (* 4 (/ 1 (pow (fabs (- y x)) 2))))) (* 2 (/ 1 (fabs (- y x)))))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 1/2 (/ (fabs (- y x)) x))) x)>
#<alt (/ (- (+ 1 (* 1/4 (/ (pow (fabs (- y x)) 2) (pow x 2)))) (* -1/2 (/ (fabs (- y x)) x))) x)>
#<alt (/ (- (+ 1 (* 1/8 (/ (pow (fabs (- y x)) 3) (pow x 3)))) (+ (* -1/2 (/ (fabs (- y x)) x)) (* -1/4 (/ (pow (fabs (- y x)) 2) (pow x 2))))) x)>
#<alt (/ 1 x)>
#<alt (* -1 (/ (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ (pow (fabs (+ y (* -1 x))) 2) x)) (* -1/2 (fabs (+ y (* -1 x))))) x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1/8 (/ (pow (fabs (+ y (* -1 x))) 3) x)) (* 1/4 (pow (fabs (+ y (* -1 x))) 2))) x)) (* -1/2 (fabs (+ y (* -1 x))))) x)) 1) x))>
#<alt (+ x (* -1/2 (fabs (- y x))))>
#<alt (+ x (* -1/2 (fabs (- y x))))>
#<alt (+ x (* -1/2 (fabs (- y x))))>
#<alt (+ x (* -1/2 (fabs (- y x))))>
#<alt (+ x (* -1/2 (fabs (- y x))))>
#<alt (+ x (* -1/2 (fabs (- y x))))>
#<alt (+ x (* -1/2 (fabs (- y x))))>
#<alt (+ x (* -1/2 (fabs (- y x))))>
#<alt (+ x (* -1/2 (fabs (neg (+ x (* -1 y))))))>
#<alt (+ x (* -1/2 (fabs (neg (+ x (* -1 y))))))>
#<alt (+ x (* -1/2 (fabs (neg (+ x (* -1 y))))))>
#<alt (+ x (* -1/2 (fabs (neg (+ x (* -1 y))))))>
#<alt (* -1/2 (fabs (- y x)))>
#<alt (+ x (* -1/2 (fabs (- y x))))>
#<alt (+ x (* -1/2 (fabs (- y x))))>
#<alt (+ x (* -1/2 (fabs (- y x))))>
#<alt x>
#<alt (* x (+ 1 (* -1/2 (/ (fabs (- y x)) x))))>
#<alt (* x (+ 1 (* -1/2 (/ (fabs (- y x)) x))))>
#<alt (* x (+ 1 (* -1/2 (/ (fabs (- y x)) x))))>
#<alt x>
#<alt (* -1 (* x (- (* 1/2 (/ (fabs (+ y (* -1 x))) x)) 1)))>
#<alt (* -1 (* x (- (* 1/2 (/ (fabs (+ y (* -1 x))) x)) 1)))>
#<alt (* -1 (* x (- (* 1/2 (/ (fabs (+ y (* -1 x))) x)) 1)))>

Calls

69 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(+ (* (fabs (neg x)) 1/2) x)
3.0ms	x	@	-inf	(/ 1 (+ (* (fabs (- y x)) 1/2) x))
1.0ms	y	@	0	(* (* (* x x) 3/4) (/ 1 (+ (* (fabs (- y x)) -1/2) x)))
1.0ms	y	@	-inf	(* (* (* x x) 3/4) (/ 1 (+ (* (fabs (- y x)) -1/2) x)))
1.0ms	y	@	inf	(* (* (* x x) 3/4) (/ 1 (+ (* (fabs (- y x)) -1/2) x)))

rewrite483.0ms (5.4%)

Memory

-36.7MiB live, 549.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 534×	`accelerator-lowering-fma.f32`
7 534×	`accelerator-lowering-fma.f64`
4 784×	`-lowering-.f32`
4 784×	`-lowering-.f64`
3 274×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	97
1	150	97
2	1025	97
0	9244	89

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 695

Calls

Call 1

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

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

simplify475.0ms (5.3%)

Memory

-3.2MiB live, 596.2MiB allocated

Algorithm

1×	egg-herbie

Rules

11 238×	`accelerator-lowering-fma.f32`
11 238×	`accelerator-lowering-fma.f64`
4 558×	`-lowering-.f32`
4 558×	`-lowering-.f64`
2 100×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	252	2209
1	749	2197
2	1786	2176
3	6330	2166
0	8603	2011

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 276

Calls

Call 1

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

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

eval128.0ms (1.4%)

Memory: 4.8MiB live, 346.8MiB allocated
Compiler: Compiled 23 392 to 1 924 computations (91.8% saved)

prune212.0ms (2.4%)

Memory

-7.6MiB live, 283.3MiB allocated

Pruning

14 alts after pruning (9 fresh and 5 done)

	Pruned	Kept	Total
New	1 064	6	1 070
Fresh	3	3	6
Picked	2	3	5
Done	0	2	2
Total	1 069	14	1 083

Accuracy

100.0%

Counts

1 083 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	54.4%	(fma.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 x)) #s(literal 1/2 binary64)) x)
✓	99.9%	(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)
▶	55.5%	(fma.f64 (fabs.f64 y) #s(literal 1/2 binary64) x)
	54.6%	(fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) x)
▶	88.8%	(fma.f64 x (*.f64 (fabs.f64 (-.f64 x y)) (/.f64 #s(literal 1/2 binary64) x)) x)
	26.7%	(/.f64 (fma.f64 x x (.f64 (.f64 x x) #s(literal -1/4 binary64))) (+.f64 x (*.f64 (fabs.f64 x) #s(literal -1/2 binary64))))
▶	27.8%	(/.f64 (.f64 (.f64 x x) #s(literal 3/4 binary64)) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal -1/2 binary64) x))
✓	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)))
▶	54.4%	(+.f64 x (pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
	54.5%	(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 x))))
✓	27.7%	(.f64 (.f64 (*.f64 x x) #s(literal 3/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal -1/2 binary64) x)))
✓	12.0%	(*.f64 x #s(literal 3/4 binary64))
▶	7.6%	(*.f64 #s(literal 1/2 binary64) (fabs.f64 x))
✓	12.1%	x

Compiler

Compiled 253 to 169 computations (33.2% saved)

simplify203.0ms (2.3%)

Memory

27.7MiB live, 327.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 #s(literal 1/2 binary64) (fabs.f64 x))
✓	cost-diff	128	(+.f64 x (pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
✓	cost-diff	5824	(pow.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 x)) #s(literal 1/2 binary64))
✓	cost-diff	7104	(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 x)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
✓	cost-diff	0	(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal -1/2 binary64) x)
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 (.f64 x x) #s(literal 3/4 binary64))
✓	cost-diff	0	(/.f64 (.f64 (.f64 x x) #s(literal 3/4 binary64)) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal -1/2 binary64) x))
✓	cost-diff	0	(fabs.f64 y)
✓	cost-diff	0	(fma.f64 (fabs.f64 y) #s(literal 1/2 binary64) x)
✓	cost-diff	0	(fabs.f64 x)
✓	cost-diff	0	(*.f64 #s(literal 1/2 binary64) (fabs.f64 x))
✓	cost-diff	0	(-.f64 x y)
✓	cost-diff	0	(fabs.f64 (-.f64 x y))
✓	cost-diff	0	(*.f64 (fabs.f64 (-.f64 x y)) (/.f64 #s(literal 1/2 binary64) x))
✓	cost-diff	1024	(fma.f64 x (*.f64 (fabs.f64 (-.f64 x y)) (/.f64 #s(literal 1/2 binary64) x)) x)

Rules

5 036×	`accelerator-lowering-fma.f32`
5 036×	`accelerator-lowering-fma.f64`
3 120×	`-lowering-.f32`
3 120×	`-lowering-.f64`
1 598×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	120
1	52	117
2	93	117
3	129	113
4	186	113
5	389	113
6	1024	113
7	3557	113
8	6289	113
0	8255	108

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize120.0ms (1.3%)

Memory

-16.3MiB live, 318.1MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 x (pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) (fabs.f64 x))
✓	accuracy	100.0%	(fabs.f64 x)
✓	accuracy	99.4%	(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 x)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
✓	accuracy	100.0%	(fabs.f64 (-.f64 y x))
✓	accuracy	99.9%	(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal -1/2 binary64) x)
✓	accuracy	99.8%	(.f64 (.f64 x x) #s(literal 3/4 binary64))
✓	accuracy	73.9%	(/.f64 (.f64 (.f64 x x) #s(literal 3/4 binary64)) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal -1/2 binary64) x))
✓	accuracy	100.0%	(fma.f64 (fabs.f64 y) #s(literal 1/2 binary64) x)
✓	accuracy	100.0%	(fabs.f64 y)
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) (fabs.f64 x))
✓	accuracy	100.0%	(fabs.f64 x)
✓	accuracy	100.0%	(-.f64 x y)
✓	accuracy	100.0%	(fabs.f64 (-.f64 x y))
✓	accuracy	99.8%	(*.f64 (fabs.f64 (-.f64 x y)) (/.f64 #s(literal 1/2 binary64) x))
✓	accuracy	90.9%	(fma.f64 x (*.f64 (fabs.f64 (-.f64 x y)) (/.f64 #s(literal 1/2 binary64) x)) x)

Samples

44.0ms	53×	5	exit
36.0ms	192×	0	valid
2.0ms	6×	2	valid
1.0ms	4×	1	valid
0.0ms	1×	3	valid

Compiler

Compiled 124 to 29 computations (76.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 60.0ms

ival-pow2: 14.0ms (23.2% of total)

ival-mult: 13.0ms (21.5% of total)

ival-fabs: 7.0ms (11.6% of total)

ival-add: 7.0ms (11.6% of total)

adjust: 6.0ms (9.9% of total)

ival-div: 5.0ms (8.3% of total)

ival-sqrt: 4.0ms (6.6% of total)

ival-sub: 3.0ms (5% of total)

exact: 1.0ms (1.7% of total)

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

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

series15.0ms (0.2%)

Memory

5.2MiB live, 43.1MiB allocated

Counts

16 → 288

Calls

Call 1

Inputs
#<alt (+ (* x (* (fabs (- x y)) (/ 1/2 x))) x)>
#<alt (* (fabs (- x y)) (/ 1/2 x))>
#<alt (fabs (- x y))>
#<alt (- x y)>
#<alt (* 1/2 (fabs x))>
#<alt (fabs x)>
#<alt (+ (* (fabs y) 1/2) x)>
#<alt (fabs y)>
#<alt (/ (* (* x x) 3/4) (+ (* (fabs (- y x)) -1/2) x))>
#<alt (* (* x x) 3/4)>
#<alt (* x x)>
#<alt (+ (* (fabs (- y x)) -1/2) x)>
#<alt (pow (pow (* 1/2 (fabs x)) 1/2) 2)>
#<alt (pow (* 1/2 (fabs x)) 1/2)>
#<alt (+ x (pow (pow (* 1/2 (fabs x)) 1/2) 2))>
#<alt (fabs (- y x))>

Outputs
#<alt (* 1/2 (fabs (- x y)))>
#<alt (+ x (* 1/2 (fabs (- x y))))>
#<alt (+ x (* 1/2 (fabs (- x y))))>
#<alt (+ x (* 1/2 (fabs (- x y))))>
#<alt x>
#<alt (* x (+ 1 (* 1/2 (/ (fabs (- x y)) x))))>
#<alt (* x (+ 1 (* 1/2 (/ (fabs (- x y)) x))))>
#<alt (* x (+ 1 (* 1/2 (/ (fabs (- x y)) x))))>
#<alt x>
#<alt (* -1 (* x (- (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1)))>
#<alt (* -1 (* x (- (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1)))>
#<alt (* -1 (* x (- (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1)))>
#<alt (+ x (* 1/2 (fabs (- x y))))>
#<alt (+ x (* 1/2 (fabs (- x y))))>
#<alt (+ x (* 1/2 (fabs (- x y))))>
#<alt (+ x (* 1/2 (fabs (- x y))))>
#<alt (+ x (* 1/2 (fabs (- x y))))>
#<alt (+ x (* 1/2 (fabs (- x y))))>
#<alt (+ x (* 1/2 (fabs (- x y))))>
#<alt (+ x (* 1/2 (fabs (- x y))))>
#<alt (+ x (* 1/2 (fabs (+ x (* -1 y)))))>
#<alt (+ x (* 1/2 (fabs (+ x (* -1 y)))))>
#<alt (+ x (* 1/2 (fabs (+ x (* -1 y)))))>
#<alt (+ x (* 1/2 (fabs (+ x (* -1 y)))))>
#<alt (* 1/2 (/ (fabs (- x y)) x))>
#<alt (* 1/2 (/ (fabs (- x y)) x))>
#<alt (* 1/2 (/ (fabs (- x y)) x))>
#<alt (* 1/2 (/ (fabs (- x y)) x))>
#<alt (* 1/2 (/ (fabs (- x y)) x))>
#<alt (* 1/2 (/ (fabs (- x y)) x))>
#<alt (* 1/2 (/ (fabs (- x y)) x))>
#<alt (* 1/2 (/ (fabs (- x y)) x))>
#<alt (* 1/2 (/ (fabs (neg (+ y (* -1 x)))) x))>
#<alt (* 1/2 (/ (fabs (neg (+ y (* -1 x)))) x))>
#<alt (* 1/2 (/ (fabs (neg (+ y (* -1 x)))) x))>
#<alt (* 1/2 (/ (fabs (neg (+ y (* -1 x)))) x))>
#<alt (* 1/2 (/ (fabs (- x y)) x))>
#<alt (* 1/2 (/ (fabs (- x y)) x))>
#<alt (* 1/2 (/ (fabs (- x y)) x))>
#<alt (* 1/2 (/ (fabs (- x y)) x))>
#<alt (* 1/2 (/ (fabs (- x y)) x))>
#<alt (* 1/2 (/ (fabs (- x y)) x))>
#<alt (* 1/2 (/ (fabs (- x y)) x))>
#<alt (* 1/2 (/ (fabs (- x y)) x))>
#<alt (* 1/2 (/ (fabs (+ x (* -1 y))) x))>
#<alt (* 1/2 (/ (fabs (+ x (* -1 y))) x))>
#<alt (* 1/2 (/ (fabs (+ x (* -1 y))) x))>
#<alt (* 1/2 (/ (fabs (+ x (* -1 y))) x))>
#<alt (fabs (- x y))>
#<alt (fabs (- x y))>
#<alt (fabs (- x y))>
#<alt (fabs (- x y))>
#<alt (fabs (- x y))>
#<alt (fabs (- x y))>
#<alt (fabs (- x y))>
#<alt (fabs (- x y))>
#<alt (fabs (neg (+ y (* -1 x))))>
#<alt (fabs (neg (+ y (* -1 x))))>
#<alt (fabs (neg (+ y (* -1 x))))>
#<alt (fabs (neg (+ y (* -1 x))))>
#<alt (fabs (- x y))>
#<alt (fabs (- x y))>
#<alt (fabs (- x y))>
#<alt (fabs (- x y))>
#<alt (fabs (- x y))>
#<alt (fabs (- x y))>
#<alt (fabs (- x y))>
#<alt (fabs (- x y))>
#<alt (fabs (+ x (* -1 y)))>
#<alt (fabs (+ x (* -1 y)))>
#<alt (fabs (+ x (* -1 y)))>
#<alt (fabs (+ x (* -1 y)))>
#<alt (* -1 y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt x>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (* -1 y)>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* 1/2 (fabs x))>
#<alt (* 1/2 (fabs x))>
#<alt (* 1/2 (fabs x))>
#<alt (* 1/2 (fabs x))>
#<alt (* 1/2 (fabs x))>
#<alt (* 1/2 (fabs x))>
#<alt (* 1/2 (fabs x))>
#<alt (* 1/2 (fabs x))>
#<alt (* 1/2 (fabs x))>
#<alt (* 1/2 (fabs x))>
#<alt (* 1/2 (fabs x))>
#<alt (* 1/2 (fabs x))>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (+ x (* 1/2 (fabs y)))>
#<alt (+ x (* 1/2 (fabs y)))>
#<alt (+ x (* 1/2 (fabs y)))>
#<alt (+ x (* 1/2 (fabs y)))>
#<alt (+ x (* 1/2 (fabs y)))>
#<alt (+ x (* 1/2 (fabs y)))>
#<alt (+ x (* 1/2 (fabs y)))>
#<alt (+ x (* 1/2 (fabs y)))>
#<alt (+ x (* 1/2 (fabs y)))>
#<alt (+ x (* 1/2 (fabs y)))>
#<alt (+ x (* 1/2 (fabs y)))>
#<alt (+ x (* 1/2 (fabs y)))>
#<alt (* 1/2 (fabs y))>
#<alt (+ x (* 1/2 (fabs y)))>
#<alt (+ x (* 1/2 (fabs y)))>
#<alt (+ x (* 1/2 (fabs y)))>
#<alt x>
#<alt (* x (+ 1 (* 1/2 (/ (fabs y) x))))>
#<alt (* x (+ 1 (* 1/2 (/ (fabs y) x))))>
#<alt (* x (+ 1 (* 1/2 (/ (fabs y) x))))>
#<alt x>
#<alt (* -1 (* x (- (* -1/2 (/ (fabs y) x)) 1)))>
#<alt (* -1 (* x (- (* -1/2 (/ (fabs y) x)) 1)))>
#<alt (* -1 (* x (- (* -1/2 (/ (fabs y) x)) 1)))>
#<alt (fabs y)>
#<alt (fabs y)>
#<alt (fabs y)>
#<alt (fabs y)>
#<alt (fabs y)>
#<alt (fabs y)>
#<alt (fabs y)>
#<alt (fabs y)>
#<alt (fabs y)>
#<alt (fabs y)>
#<alt (fabs y)>
#<alt (fabs y)>
#<alt (* -3/2 (/ (pow x 2) (fabs (- y x))))>
#<alt (* (pow x 2) (- (* -3 (/ x (pow (fabs (- y x)) 2))) (* 3/2 (/ 1 (fabs (- y x))))))>
#<alt (* (pow x 2) (- (* x (- (* -6 (/ x (pow (fabs (- y x)) 3))) (* 3 (/ 1 (pow (fabs (- y x)) 2))))) (* 3/2 (/ 1 (fabs (- y x))))))>
#<alt (* (pow x 2) (- (* x (- (* x (- (* -12 (/ x (pow (fabs (- y x)) 4))) (* 6 (/ 1 (pow (fabs (- y x)) 3))))) (* 3 (/ 1 (pow (fabs (- y x)) 2))))) (* 3/2 (/ 1 (fabs (- y x))))))>
#<alt (* 3/4 x)>
#<alt (* x (+ 3/4 (* 3/8 (/ (fabs (- y x)) x))))>
#<alt (* x (- (+ 3/4 (* 3/16 (/ (pow (fabs (- y x)) 2) (pow x 2)))) (* -3/8 (/ (fabs (- y x)) x))))>
#<alt (* x (- (+ 3/4 (* 3/32 (/ (pow (fabs (- y x)) 3) (pow x 3)))) (+ (* -3/8 (/ (fabs (- y x)) x)) (* -3/16 (/ (pow (fabs (- y x)) 2) (pow x 2))))))>
#<alt (* 3/4 x)>
#<alt (* -1 (* x (- (* -3/8 (/ (fabs (+ y (* -1 x))) x)) 3/4)))>
#<alt (* -1 (* x (- (* -1 (/ (- (* 3/16 (/ (pow (fabs (+ y (* -1 x))) 2) x)) (* -3/8 (fabs (+ y (* -1 x))))) x)) 3/4)))>
#<alt (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* -3/32 (/ (pow (fabs (+ y (* -1 x))) 3) x)) (* 3/16 (pow (fabs (+ y (* -1 x))) 2))) x)) (* -3/8 (fabs (+ y (* -1 x))))) x)) 3/4)))>
#<alt (* 3/4 (/ (pow x 2) (+ x (* -1/2 (fabs (- y x))))))>
#<alt (* 3/4 (/ (pow x 2) (+ x (* -1/2 (fabs (- y x))))))>
#<alt (* 3/4 (/ (pow x 2) (+ x (* -1/2 (fabs (- y x))))))>
#<alt (* 3/4 (/ (pow x 2) (+ x (* -1/2 (fabs (- y x))))))>
#<alt (* 3/4 (/ (pow x 2) (+ x (* -1/2 (fabs (- y x))))))>
#<alt (* 3/4 (/ (pow x 2) (+ x (* -1/2 (fabs (- y x))))))>
#<alt (* 3/4 (/ (pow x 2) (+ x (* -1/2 (fabs (- y x))))))>
#<alt (* 3/4 (/ (pow x 2) (+ x (* -1/2 (fabs (- y x))))))>
#<alt (* 3/4 (/ (pow x 2) (+ x (* -1/2 (fabs (neg (+ x (* -1 y))))))))>
#<alt (* 3/4 (/ (pow x 2) (+ x (* -1/2 (fabs (neg (+ x (* -1 y))))))))>
#<alt (* 3/4 (/ (pow x 2) (+ x (* -1/2 (fabs (neg (+ x (* -1 y))))))))>
#<alt (* 3/4 (/ (pow x 2) (+ x (* -1/2 (fabs (neg (+ x (* -1 y))))))))>
#<alt (* 3/4 (pow x 2))>
#<alt (* 3/4 (pow x 2))>
#<alt (* 3/4 (pow x 2))>
#<alt (* 3/4 (pow x 2))>
#<alt (* 3/4 (pow x 2))>
#<alt (* 3/4 (pow x 2))>
#<alt (* 3/4 (pow x 2))>
#<alt (* 3/4 (pow x 2))>
#<alt (* 3/4 (pow x 2))>
#<alt (* 3/4 (pow x 2))>
#<alt (* 3/4 (pow x 2))>
#<alt (* 3/4 (pow x 2))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (+ x (* -1/2 (fabs (- y x))))>
#<alt (+ x (* -1/2 (fabs (- y x))))>
#<alt (+ x (* -1/2 (fabs (- y x))))>
#<alt (+ x (* -1/2 (fabs (- y x))))>
#<alt (+ x (* -1/2 (fabs (- y x))))>
#<alt (+ x (* -1/2 (fabs (- y x))))>
#<alt (+ x (* -1/2 (fabs (- y x))))>
#<alt (+ x (* -1/2 (fabs (- y x))))>
#<alt (+ x (* -1/2 (fabs (neg (+ x (* -1 y))))))>
#<alt (+ x (* -1/2 (fabs (neg (+ x (* -1 y))))))>
#<alt (+ x (* -1/2 (fabs (neg (+ x (* -1 y))))))>
#<alt (+ x (* -1/2 (fabs (neg (+ x (* -1 y))))))>
#<alt (* -1/2 (fabs (- y x)))>
#<alt (+ x (* -1/2 (fabs (- y x))))>
#<alt (+ x (* -1/2 (fabs (- y x))))>
#<alt (+ x (* -1/2 (fabs (- y x))))>
#<alt x>
#<alt (* x (+ 1 (* -1/2 (/ (fabs (- y x)) x))))>
#<alt (* x (+ 1 (* -1/2 (/ (fabs (- y x)) x))))>
#<alt (* x (+ 1 (* -1/2 (/ (fabs (- y x)) x))))>
#<alt x>
#<alt (* -1 (* x (- (* 1/2 (/ (fabs (+ y (* -1 x))) x)) 1)))>
#<alt (* -1 (* x (- (* 1/2 (/ (fabs (+ y (* -1 x))) x)) 1)))>
#<alt (* -1 (* x (- (* 1/2 (/ (fabs (+ y (* -1 x))) x)) 1)))>
#<alt (* (fabs x) (pow (sqrt 1/2) 2))>
#<alt (* (fabs x) (pow (sqrt 1/2) 2))>
#<alt (* (fabs x) (pow (sqrt 1/2) 2))>
#<alt (* (fabs x) (pow (sqrt 1/2) 2))>
#<alt (* (fabs x) (pow (sqrt 1/2) 2))>
#<alt (* (fabs x) (pow (sqrt 1/2) 2))>
#<alt (* (fabs x) (pow (sqrt 1/2) 2))>
#<alt (* (fabs x) (pow (sqrt 1/2) 2))>
#<alt (* (fabs x) (pow (sqrt 1/2) 2))>
#<alt (* (fabs x) (pow (sqrt 1/2) 2))>
#<alt (* (fabs x) (pow (sqrt 1/2) 2))>
#<alt (* (fabs x) (pow (sqrt 1/2) 2))>
#<alt (* (sqrt (fabs x)) (sqrt 1/2))>
#<alt (* (sqrt (fabs x)) (sqrt 1/2))>
#<alt (* (sqrt (fabs x)) (sqrt 1/2))>
#<alt (* (sqrt (fabs x)) (sqrt 1/2))>
#<alt (* (sqrt (fabs x)) (sqrt 1/2))>
#<alt (* (sqrt (fabs x)) (sqrt 1/2))>
#<alt (* (sqrt (fabs x)) (sqrt 1/2))>
#<alt (* (sqrt (fabs x)) (sqrt 1/2))>
#<alt (* (sqrt (fabs x)) (sqrt 1/2))>
#<alt (* (sqrt (fabs x)) (sqrt 1/2))>
#<alt (* (sqrt (fabs x)) (sqrt 1/2))>
#<alt (* (sqrt (fabs x)) (sqrt 1/2))>
#<alt (* (fabs x) (pow (sqrt 1/2) 2))>
#<alt (+ x (* (fabs x) (pow (sqrt 1/2) 2)))>
#<alt (+ x (* (fabs x) (pow (sqrt 1/2) 2)))>
#<alt (+ x (* (fabs x) (pow (sqrt 1/2) 2)))>
#<alt x>
#<alt (* x (+ 1 (/ (* (fabs x) (pow (sqrt 1/2) 2)) x)))>
#<alt (* x (+ 1 (/ (* (fabs x) (pow (sqrt 1/2) 2)) x)))>
#<alt (* x (+ 1 (/ (* (fabs x) (pow (sqrt 1/2) 2)) x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (* (fabs x) (pow (sqrt 1/2) 2)) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (* (fabs x) (pow (sqrt 1/2) 2)) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (* (fabs x) (pow (sqrt 1/2) 2)) x)) 1)))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (neg (+ x (* -1 y))))>
#<alt (fabs (neg (+ x (* -1 y))))>
#<alt (fabs (neg (+ x (* -1 y))))>
#<alt (fabs (neg (+ x (* -1 y))))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (+ y (* -1 x)))>
#<alt (fabs (+ y (* -1 x)))>
#<alt (fabs (+ y (* -1 x)))>
#<alt (fabs (+ y (* -1 x)))>

Calls

72 calls:

Time	Variable		Point	Expression
2.0ms	y	@	-inf	(/ (* (* x x) 3/4) (+ (* (fabs (- y x)) -1/2) x))
1.0ms	y	@	-inf	(+ (* x (* (fabs (- x y)) (/ 1/2 x))) x)
1.0ms	x	@	0	(pow (pow (* 1/2 (fabs x)) 1/2) 2)
1.0ms	y	@	-inf	(* (fabs (- x y)) (/ 1/2 x))
1.0ms	x	@	-inf	(* (fabs (- x y)) (/ 1/2 x))

rewrite499.0ms (5.5%)

Memory

-19.0MiB live, 551.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 020×	`accelerator-lowering-fma.f32`
5 020×	`accelerator-lowering-fma.f64`
4 348×	`-lowering-.f32`
4 348×	`-lowering-.f64`
3 662×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	92
1	151	90
2	1098	90
0	8327	85

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 533

Calls

Call 1

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

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

simplify798.0ms (8.9%)

Memory

16.2MiB live, 413.0MiB allocated

Algorithm

1×	egg-herbie

Rules

7 434×	`accelerator-lowering-fma.f32`
7 434×	`accelerator-lowering-fma.f64`
4 450×	`-lowering-.f32`
4 450×	`-lowering-.f64`
1 912×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	185	1760
1	502	1729
2	1200	1721
3	5297	1709
0	8349	1607

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 288

Calls

Call 1

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

Outputs
(* 1/2 (fabs (- x y)))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))
(+ x (* 1/2 (fabs (- x y))))
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x)
(+ x (* 1/2 (fabs (- x y))))
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x)
(+ x (* 1/2 (fabs (- x y))))
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x)
x
(* x (+ 1 (* 1/2 (/ (fabs (- x y)) x))))
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x)
(* x (+ 1 (* 1/2 (/ (fabs (- x y)) x))))
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x)
(* x (+ 1 (* 1/2 (/ (fabs (- x y)) x))))
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x)
x
(* -1 (* x (- (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1)))
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x)
(* -1 (* x (- (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1)))
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x)
(* -1 (* x (- (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1)))
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x)
(+ x (* 1/2 (fabs (- x y))))
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x)
(+ x (* 1/2 (fabs (- x y))))
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x)
(+ x (* 1/2 (fabs (- x y))))
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x)
(+ x (* 1/2 (fabs (- x y))))
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x)
(+ x (* 1/2 (fabs (- x y))))
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x)
(+ x (* 1/2 (fabs (- x y))))
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x)
(+ x (* 1/2 (fabs (- x y))))
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x)
(+ x (* 1/2 (fabs (- x y))))
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x)
(+ x (* 1/2 (fabs (+ x (* -1 y)))))
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x)
(+ x (* 1/2 (fabs (+ x (* -1 y)))))
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x)
(+ x (* 1/2 (fabs (+ x (* -1 y)))))
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x)
(+ x (* 1/2 (fabs (+ x (* -1 y)))))
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x)
(* 1/2 (/ (fabs (- x y)) x))
(*.f64 (fabs.f64 (-.f64 y x)) (/.f64 #s(literal 1/2 binary64) x))
(* 1/2 (/ (fabs (- x y)) x))
(*.f64 (fabs.f64 (-.f64 y x)) (/.f64 #s(literal 1/2 binary64) x))
(* 1/2 (/ (fabs (- x y)) x))
(*.f64 (fabs.f64 (-.f64 y x)) (/.f64 #s(literal 1/2 binary64) x))
(* 1/2 (/ (fabs (- x y)) x))
(*.f64 (fabs.f64 (-.f64 y x)) (/.f64 #s(literal 1/2 binary64) x))
(* 1/2 (/ (fabs (- x y)) x))
(*.f64 (fabs.f64 (-.f64 y x)) (/.f64 #s(literal 1/2 binary64) x))
(* 1/2 (/ (fabs (- x y)) x))
(*.f64 (fabs.f64 (-.f64 y x)) (/.f64 #s(literal 1/2 binary64) x))
(* 1/2 (/ (fabs (- x y)) x))
(*.f64 (fabs.f64 (-.f64 y x)) (/.f64 #s(literal 1/2 binary64) x))
(* 1/2 (/ (fabs (- x y)) x))
(*.f64 (fabs.f64 (-.f64 y x)) (/.f64 #s(literal 1/2 binary64) x))
(* 1/2 (/ (fabs (neg (+ y (* -1 x)))) x))
(*.f64 (fabs.f64 (-.f64 y x)) (/.f64 #s(literal 1/2 binary64) x))
(* 1/2 (/ (fabs (neg (+ y (* -1 x)))) x))
(*.f64 (fabs.f64 (-.f64 y x)) (/.f64 #s(literal 1/2 binary64) x))
(* 1/2 (/ (fabs (neg (+ y (* -1 x)))) x))
(*.f64 (fabs.f64 (-.f64 y x)) (/.f64 #s(literal 1/2 binary64) x))
(* 1/2 (/ (fabs (neg (+ y (* -1 x)))) x))
(*.f64 (fabs.f64 (-.f64 y x)) (/.f64 #s(literal 1/2 binary64) x))
(* 1/2 (/ (fabs (- x y)) x))
(*.f64 (fabs.f64 (-.f64 y x)) (/.f64 #s(literal 1/2 binary64) x))
(* 1/2 (/ (fabs (- x y)) x))
(*.f64 (fabs.f64 (-.f64 y x)) (/.f64 #s(literal 1/2 binary64) x))
(* 1/2 (/ (fabs (- x y)) x))
(*.f64 (fabs.f64 (-.f64 y x)) (/.f64 #s(literal 1/2 binary64) x))
(* 1/2 (/ (fabs (- x y)) x))
(*.f64 (fabs.f64 (-.f64 y x)) (/.f64 #s(literal 1/2 binary64) x))
(* 1/2 (/ (fabs (- x y)) x))
(*.f64 (fabs.f64 (-.f64 y x)) (/.f64 #s(literal 1/2 binary64) x))
(* 1/2 (/ (fabs (- x y)) x))
(*.f64 (fabs.f64 (-.f64 y x)) (/.f64 #s(literal 1/2 binary64) x))
(* 1/2 (/ (fabs (- x y)) x))
(*.f64 (fabs.f64 (-.f64 y x)) (/.f64 #s(literal 1/2 binary64) x))
(* 1/2 (/ (fabs (- x y)) x))
(*.f64 (fabs.f64 (-.f64 y x)) (/.f64 #s(literal 1/2 binary64) x))
(* 1/2 (/ (fabs (+ x (* -1 y))) x))
(*.f64 (fabs.f64 (-.f64 y x)) (/.f64 #s(literal 1/2 binary64) x))
(* 1/2 (/ (fabs (+ x (* -1 y))) x))
(*.f64 (fabs.f64 (-.f64 y x)) (/.f64 #s(literal 1/2 binary64) x))
(* 1/2 (/ (fabs (+ x (* -1 y))) x))
(*.f64 (fabs.f64 (-.f64 y x)) (/.f64 #s(literal 1/2 binary64) x))
(* 1/2 (/ (fabs (+ x (* -1 y))) x))
(*.f64 (fabs.f64 (-.f64 y x)) (/.f64 #s(literal 1/2 binary64) x))
(fabs (- x y))
(fabs.f64 (-.f64 y x))
(fabs (- x y))
(fabs.f64 (-.f64 y x))
(fabs (- x y))
(fabs.f64 (-.f64 y x))
(fabs (- x y))
(fabs.f64 (-.f64 y x))
(fabs (- x y))
(fabs.f64 (-.f64 y x))
(fabs (- x y))
(fabs.f64 (-.f64 y x))
(fabs (- x y))
(fabs.f64 (-.f64 y x))
(fabs (- x y))
(fabs.f64 (-.f64 y x))
(fabs (neg (+ y (* -1 x))))
(fabs.f64 (-.f64 y x))
(fabs (neg (+ y (* -1 x))))
(fabs.f64 (-.f64 y x))
(fabs (neg (+ y (* -1 x))))
(fabs.f64 (-.f64 y x))
(fabs (neg (+ y (* -1 x))))
(fabs.f64 (-.f64 y x))
(fabs (- x y))
(fabs.f64 (-.f64 y x))
(fabs (- x y))
(fabs.f64 (-.f64 y x))
(fabs (- x y))
(fabs.f64 (-.f64 y x))
(fabs (- x y))
(fabs.f64 (-.f64 y x))
(fabs (- x y))
(fabs.f64 (-.f64 y x))
(fabs (- x y))
(fabs.f64 (-.f64 y x))
(fabs (- x y))
(fabs.f64 (-.f64 y x))
(fabs (- x y))
(fabs.f64 (-.f64 y x))
(fabs (+ x (* -1 y)))
(fabs.f64 (-.f64 y x))
(fabs (+ x (* -1 y)))
(fabs.f64 (-.f64 y x))
(fabs (+ x (* -1 y)))
(fabs.f64 (-.f64 y x))
(fabs (+ x (* -1 y)))
(fabs.f64 (-.f64 y x))
(* -1 y)
(neg.f64 y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
x
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
x
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
x
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(* -1 y)
(neg.f64 y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* -1 y)
(neg.f64 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(* 1/2 (fabs x))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 x))
(* 1/2 (fabs x))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 x))
(* 1/2 (fabs x))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 x))
(* 1/2 (fabs x))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 x))
(* 1/2 (fabs x))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 x))
(* 1/2 (fabs x))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 x))
(* 1/2 (fabs x))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 x))
(* 1/2 (fabs x))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 x))
(* 1/2 (fabs x))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 x))
(* 1/2 (fabs x))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 x))
(* 1/2 (fabs x))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 x))
(* 1/2 (fabs x))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 x))
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(+ x (* 1/2 (fabs y)))
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 y) x)
(+ x (* 1/2 (fabs y)))
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 y) x)
(+ x (* 1/2 (fabs y)))
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 y) x)
(+ x (* 1/2 (fabs y)))
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 y) x)
(+ x (* 1/2 (fabs y)))
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 y) x)
(+ x (* 1/2 (fabs y)))
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 y) x)
(+ x (* 1/2 (fabs y)))
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 y) x)
(+ x (* 1/2 (fabs y)))
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 y) x)
(+ x (* 1/2 (fabs y)))
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 y) x)
(+ x (* 1/2 (fabs y)))
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 y) x)
(+ x (* 1/2 (fabs y)))
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 y) x)
(+ x (* 1/2 (fabs y)))
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 y) x)
(* 1/2 (fabs y))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 y))
(+ x (* 1/2 (fabs y)))
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 y) x)
(+ x (* 1/2 (fabs y)))
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 y) x)
(+ x (* 1/2 (fabs y)))
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 y) x)
x
(* x (+ 1 (* 1/2 (/ (fabs y) x))))
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 y) x)
(* x (+ 1 (* 1/2 (/ (fabs y) x))))
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 y) x)
(* x (+ 1 (* 1/2 (/ (fabs y) x))))
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 y) x)
x
(* -1 (* x (- (* -1/2 (/ (fabs y) x)) 1)))
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 y) x)
(* -1 (* x (- (* -1/2 (/ (fabs y) x)) 1)))
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 y) x)
(* -1 (* x (- (* -1/2 (/ (fabs y) x)) 1)))
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 y) x)
(fabs y)
(fabs.f64 y)
(fabs y)
(fabs.f64 y)
(fabs y)
(fabs.f64 y)
(fabs y)
(fabs.f64 y)
(fabs y)
(fabs.f64 y)
(fabs y)
(fabs.f64 y)
(fabs y)
(fabs.f64 y)
(fabs y)
(fabs.f64 y)
(fabs y)
(fabs.f64 y)
(fabs y)
(fabs.f64 y)
(fabs y)
(fabs.f64 y)
(fabs y)
(fabs.f64 y)
(* -3/2 (/ (pow x 2) (fabs (- y x))))
(/.f64 (.f64 x (.f64 x #s(literal -3/2 binary64))) (fabs.f64 (-.f64 y x)))
(* (pow x 2) (- (* -3 (/ x (pow (fabs (- y x)) 2))) (* 3/2 (/ 1 (fabs (- y x))))))
(.f64 (.f64 x x) (fma.f64 x (/.f64 #s(literal -3 binary64) (*.f64 (-.f64 y x) (-.f64 y x))) (/.f64 #s(literal -3/2 binary64) (fabs.f64 (-.f64 y x)))))
(* (pow x 2) (- (* x (- (* -6 (/ x (pow (fabs (- y x)) 3))) (* 3 (/ 1 (pow (fabs (- y x)) 2))))) (* 3/2 (/ 1 (fabs (- y x))))))
(.f64 x (.f64 x (fma.f64 x (fma.f64 x (/.f64 #s(literal -6 binary64) (.f64 (-.f64 y x) (.f64 (-.f64 y x) (fabs.f64 (-.f64 y x))))) (/.f64 #s(literal -3 binary64) (*.f64 (-.f64 y x) (-.f64 y x)))) (/.f64 #s(literal -3/2 binary64) (fabs.f64 (-.f64 y x))))))
(* (pow x 2) (- (* x (- (* x (- (* -12 (/ x (pow (fabs (- y x)) 4))) (* 6 (/ 1 (pow (fabs (- y x)) 3))))) (* 3 (/ 1 (pow (fabs (- y x)) 2))))) (* 3/2 (/ 1 (fabs (- y x))))))
(.f64 (.f64 x x) (fma.f64 x (fma.f64 x (fma.f64 x (/.f64 #s(literal -12 binary64) (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 4 binary64))) (/.f64 #s(literal -6 binary64) (.f64 (-.f64 y x) (.f64 (-.f64 y x) (fabs.f64 (-.f64 y x)))))) (/.f64 #s(literal -3 binary64) (*.f64 (-.f64 y x) (-.f64 y x)))) (/.f64 #s(literal -3/2 binary64) (fabs.f64 (-.f64 y x)))))
(* 3/4 x)
(*.f64 x #s(literal 3/4 binary64))
(* x (+ 3/4 (* 3/8 (/ (fabs (- y x)) x))))
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 3/8 binary64) (*.f64 x #s(literal 3/4 binary64)))
(* x (- (+ 3/4 (* 3/16 (/ (pow (fabs (- y x)) 2) (pow x 2)))) (* -3/8 (/ (fabs (- y x)) x))))
(fma.f64 x (fma.f64 (-.f64 y x) (.f64 (-.f64 y x) (/.f64 #s(literal 3/16 binary64) (.f64 x x))) #s(literal 3/4 binary64)) (*.f64 (fabs.f64 (-.f64 y x)) #s(literal 3/8 binary64)))
(* x (- (+ 3/4 (* 3/32 (/ (pow (fabs (- y x)) 3) (pow x 3)))) (+ (* -3/8 (/ (fabs (- y x)) x)) (* -3/16 (/ (pow (fabs (- y x)) 2) (pow x 2))))))
(.f64 x (-.f64 #s(literal 3/4 binary64) (/.f64 (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal -3/8 binary64) (/.f64 (.f64 (*.f64 (-.f64 y x) (-.f64 y x)) (fma.f64 (/.f64 (fabs.f64 (-.f64 y x)) x) #s(literal -3/32 binary64) #s(literal -3/16 binary64))) x)) x)))
(* 3/4 x)
(*.f64 x #s(literal 3/4 binary64))
(* -1 (* x (- (* -3/8 (/ (fabs (+ y (* -1 x))) x)) 3/4)))
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 3/8 binary64) (*.f64 x #s(literal 3/4 binary64)))
(* -1 (* x (- (* -1 (/ (- (* 3/16 (/ (pow (fabs (+ y (* -1 x))) 2) x)) (* -3/8 (fabs (+ y (* -1 x))))) x)) 3/4)))
(fma.f64 x (fma.f64 (-.f64 y x) (.f64 (-.f64 y x) (/.f64 #s(literal 3/16 binary64) (.f64 x x))) #s(literal 3/4 binary64)) (*.f64 (fabs.f64 (-.f64 y x)) #s(literal 3/8 binary64)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* -3/32 (/ (pow (fabs (+ y (* -1 x))) 3) x)) (* 3/16 (pow (fabs (+ y (* -1 x))) 2))) x)) (* -3/8 (fabs (+ y (* -1 x))))) x)) 3/4)))
(.f64 x (-.f64 #s(literal 3/4 binary64) (/.f64 (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal -3/8 binary64) (/.f64 (.f64 (*.f64 (-.f64 y x) (-.f64 y x)) (fma.f64 (/.f64 (fabs.f64 (-.f64 y x)) x) #s(literal -3/32 binary64) #s(literal -3/16 binary64))) x)) x)))
(* 3/4 (/ (pow x 2) (+ x (* -1/2 (fabs (- y x))))))
(/.f64 (.f64 x (.f64 x #s(literal 3/4 binary64))) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 y x)) x))
(* 3/4 (/ (pow x 2) (+ x (* -1/2 (fabs (- y x))))))
(/.f64 (.f64 x (.f64 x #s(literal 3/4 binary64))) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 y x)) x))
(* 3/4 (/ (pow x 2) (+ x (* -1/2 (fabs (- y x))))))
(/.f64 (.f64 x (.f64 x #s(literal 3/4 binary64))) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 y x)) x))
(* 3/4 (/ (pow x 2) (+ x (* -1/2 (fabs (- y x))))))
(/.f64 (.f64 x (.f64 x #s(literal 3/4 binary64))) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 y x)) x))
(* 3/4 (/ (pow x 2) (+ x (* -1/2 (fabs (- y x))))))
(/.f64 (.f64 x (.f64 x #s(literal 3/4 binary64))) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 y x)) x))
(* 3/4 (/ (pow x 2) (+ x (* -1/2 (fabs (- y x))))))
(/.f64 (.f64 x (.f64 x #s(literal 3/4 binary64))) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 y x)) x))
(* 3/4 (/ (pow x 2) (+ x (* -1/2 (fabs (- y x))))))
(/.f64 (.f64 x (.f64 x #s(literal 3/4 binary64))) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 y x)) x))
(* 3/4 (/ (pow x 2) (+ x (* -1/2 (fabs (- y x))))))
(/.f64 (.f64 x (.f64 x #s(literal 3/4 binary64))) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 y x)) x))
(* 3/4 (/ (pow x 2) (+ x (* -1/2 (fabs (neg (+ x (* -1 y))))))))
(/.f64 (.f64 x (.f64 x #s(literal 3/4 binary64))) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 y x)) x))
(* 3/4 (/ (pow x 2) (+ x (* -1/2 (fabs (neg (+ x (* -1 y))))))))
(/.f64 (.f64 x (.f64 x #s(literal 3/4 binary64))) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 y x)) x))
(* 3/4 (/ (pow x 2) (+ x (* -1/2 (fabs (neg (+ x (* -1 y))))))))
(/.f64 (.f64 x (.f64 x #s(literal 3/4 binary64))) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 y x)) x))
(* 3/4 (/ (pow x 2) (+ x (* -1/2 (fabs (neg (+ x (* -1 y))))))))
(/.f64 (.f64 x (.f64 x #s(literal 3/4 binary64))) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 y x)) x))
(* 3/4 (pow x 2))
(.f64 x (.f64 x #s(literal 3/4 binary64)))
(* 3/4 (pow x 2))
(.f64 x (.f64 x #s(literal 3/4 binary64)))
(* 3/4 (pow x 2))
(.f64 x (.f64 x #s(literal 3/4 binary64)))
(* 3/4 (pow x 2))
(.f64 x (.f64 x #s(literal 3/4 binary64)))
(* 3/4 (pow x 2))
(.f64 x (.f64 x #s(literal 3/4 binary64)))
(* 3/4 (pow x 2))
(.f64 x (.f64 x #s(literal 3/4 binary64)))
(* 3/4 (pow x 2))
(.f64 x (.f64 x #s(literal 3/4 binary64)))
(* 3/4 (pow x 2))
(.f64 x (.f64 x #s(literal 3/4 binary64)))
(* 3/4 (pow x 2))
(.f64 x (.f64 x #s(literal 3/4 binary64)))
(* 3/4 (pow x 2))
(.f64 x (.f64 x #s(literal 3/4 binary64)))
(* 3/4 (pow x 2))
(.f64 x (.f64 x #s(literal 3/4 binary64)))
(* 3/4 (pow x 2))
(.f64 x (.f64 x #s(literal 3/4 binary64)))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(+ x (* -1/2 (fabs (- y x))))
(fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 y x)) x)
(+ x (* -1/2 (fabs (- y x))))
(fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 y x)) x)
(+ x (* -1/2 (fabs (- y x))))
(fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 y x)) x)
(+ x (* -1/2 (fabs (- y x))))
(fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 y x)) x)
(+ x (* -1/2 (fabs (- y x))))
(fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 y x)) x)
(+ x (* -1/2 (fabs (- y x))))
(fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 y x)) x)
(+ x (* -1/2 (fabs (- y x))))
(fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 y x)) x)
(+ x (* -1/2 (fabs (- y x))))
(fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 y x)) x)
(+ x (* -1/2 (fabs (neg (+ x (* -1 y))))))
(fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 y x)) x)
(+ x (* -1/2 (fabs (neg (+ x (* -1 y))))))
(fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 y x)) x)
(+ x (* -1/2 (fabs (neg (+ x (* -1 y))))))
(fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 y x)) x)
(+ x (* -1/2 (fabs (neg (+ x (* -1 y))))))
(fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 y x)) x)
(* -1/2 (fabs (- y x)))
(*.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 y x)))
(+ x (* -1/2 (fabs (- y x))))
(fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 y x)) x)
(+ x (* -1/2 (fabs (- y x))))
(fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 y x)) x)
(+ x (* -1/2 (fabs (- y x))))
(fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 y x)) x)
x
(* x (+ 1 (* -1/2 (/ (fabs (- y x)) x))))
(fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 y x)) x)
(* x (+ 1 (* -1/2 (/ (fabs (- y x)) x))))
(fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 y x)) x)
(* x (+ 1 (* -1/2 (/ (fabs (- y x)) x))))
(fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 y x)) x)
x
(* -1 (* x (- (* 1/2 (/ (fabs (+ y (* -1 x))) x)) 1)))
(fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 y x)) x)
(* -1 (* x (- (* 1/2 (/ (fabs (+ y (* -1 x))) x)) 1)))
(fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 y x)) x)
(* -1 (* x (- (* 1/2 (/ (fabs (+ y (* -1 x))) x)) 1)))
(fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 y x)) x)
(* (fabs x) (pow (sqrt 1/2) 2))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 x))
(* (fabs x) (pow (sqrt 1/2) 2))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 x))
(* (fabs x) (pow (sqrt 1/2) 2))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 x))
(* (fabs x) (pow (sqrt 1/2) 2))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 x))
(* (fabs x) (pow (sqrt 1/2) 2))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 x))
(* (fabs x) (pow (sqrt 1/2) 2))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 x))
(* (fabs x) (pow (sqrt 1/2) 2))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 x))
(* (fabs x) (pow (sqrt 1/2) 2))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 x))
(* (fabs x) (pow (sqrt 1/2) 2))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 x))
(* (fabs x) (pow (sqrt 1/2) 2))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 x))
(* (fabs x) (pow (sqrt 1/2) 2))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 x))
(* (fabs x) (pow (sqrt 1/2) 2))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 x))
(* (sqrt (fabs x)) (sqrt 1/2))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (fabs.f64 x)))
(* (sqrt (fabs x)) (sqrt 1/2))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (fabs.f64 x)))
(* (sqrt (fabs x)) (sqrt 1/2))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (fabs.f64 x)))
(* (sqrt (fabs x)) (sqrt 1/2))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (fabs.f64 x)))
(* (sqrt (fabs x)) (sqrt 1/2))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (fabs.f64 x)))
(* (sqrt (fabs x)) (sqrt 1/2))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (fabs.f64 x)))
(* (sqrt (fabs x)) (sqrt 1/2))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (fabs.f64 x)))
(* (sqrt (fabs x)) (sqrt 1/2))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (fabs.f64 x)))
(* (sqrt (fabs x)) (sqrt 1/2))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (fabs.f64 x)))
(* (sqrt (fabs x)) (sqrt 1/2))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (fabs.f64 x)))
(* (sqrt (fabs x)) (sqrt 1/2))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (fabs.f64 x)))
(* (sqrt (fabs x)) (sqrt 1/2))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (fabs.f64 x)))
(* (fabs x) (pow (sqrt 1/2) 2))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 x))
(+ x (* (fabs x) (pow (sqrt 1/2) 2)))
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 x) x)
(+ x (* (fabs x) (pow (sqrt 1/2) 2)))
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 x) x)
(+ x (* (fabs x) (pow (sqrt 1/2) 2)))
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 x) x)
x
(* x (+ 1 (/ (* (fabs x) (pow (sqrt 1/2) 2)) x)))
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 x) x)
(* x (+ 1 (/ (* (fabs x) (pow (sqrt 1/2) 2)) x)))
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 x) x)
(* x (+ 1 (/ (* (fabs x) (pow (sqrt 1/2) 2)) x)))
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 x) x)
x
(* -1 (* x (- (* -1 (/ (* (fabs x) (pow (sqrt 1/2) 2)) x)) 1)))
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 x) x)
(* -1 (* x (- (* -1 (/ (* (fabs x) (pow (sqrt 1/2) 2)) x)) 1)))
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 x) x)
(* -1 (* x (- (* -1 (/ (* (fabs x) (pow (sqrt 1/2) 2)) x)) 1)))
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 x) x)
(fabs (- y x))
(fabs.f64 (-.f64 y x))
(fabs (- y x))
(fabs.f64 (-.f64 y x))
(fabs (- y x))
(fabs.f64 (-.f64 y x))
(fabs (- y x))
(fabs.f64 (-.f64 y x))
(fabs (- y x))
(fabs.f64 (-.f64 y x))
(fabs (- y x))
(fabs.f64 (-.f64 y x))
(fabs (- y x))
(fabs.f64 (-.f64 y x))
(fabs (- y x))
(fabs.f64 (-.f64 y x))
(fabs (neg (+ x (* -1 y))))
(fabs.f64 (-.f64 y x))
(fabs (neg (+ x (* -1 y))))
(fabs.f64 (-.f64 y x))
(fabs (neg (+ x (* -1 y))))
(fabs.f64 (-.f64 y x))
(fabs (neg (+ x (* -1 y))))
(fabs.f64 (-.f64 y x))
(fabs (- y x))
(fabs.f64 (-.f64 y x))
(fabs (- y x))
(fabs.f64 (-.f64 y x))
(fabs (- y x))
(fabs.f64 (-.f64 y x))
(fabs (- y x))
(fabs.f64 (-.f64 y x))
(fabs (- y x))
(fabs.f64 (-.f64 y x))
(fabs (- y x))
(fabs.f64 (-.f64 y x))
(fabs (- y x))
(fabs.f64 (-.f64 y x))
(fabs (- y x))
(fabs.f64 (-.f64 y x))
(fabs (+ y (* -1 x)))
(fabs.f64 (-.f64 y x))
(fabs (+ y (* -1 x)))
(fabs.f64 (-.f64 y x))
(fabs (+ y (* -1 x)))
(fabs.f64 (-.f64 y x))
(fabs (+ y (* -1 x)))
(fabs.f64 (-.f64 y x))

eval163.0ms (1.8%)

Memory: -12.2MiB live, 262.3MiB allocated
Compiler: Compiled 17 538 to 1 832 computations (89.6% saved)

prune88.0ms (1%)

Memory

18.1MiB live, 291.1MiB allocated

Pruning

13 alts after pruning (8 fresh and 5 done)

	Pruned	Kept	Total
New	880	5	885
Fresh	1	3	4
Picked	3	2	5
Done	2	3	5
Total	886	13	899

Accuracy

100.0%

Counts

899 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	63.6%	(fma.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 x (fabs.f64 (-.f64 x y))) x)
	54.4%	(fma.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 x))) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 x))) x)
✓	99.9%	(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)
✓	55.5%	(fma.f64 (fabs.f64 y) #s(literal 1/2 binary64) x)
	54.6%	(fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) x)
✓	88.8%	(fma.f64 x (*.f64 (fabs.f64 (-.f64 x y)) (/.f64 #s(literal 1/2 binary64) x)) x)
	54.5%	(fma.f64 x (*.f64 (fabs.f64 x) (/.f64 #s(literal 1/2 binary64) x)) x)
	26.7%	(/.f64 (fma.f64 x x (.f64 (.f64 x x) #s(literal -1/4 binary64))) (+.f64 x (*.f64 (fabs.f64 x) #s(literal -1/2 binary64))))
	54.5%	(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 x))))
	53.7%	(.f64 x (/.f64 x (.f64 (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal -1/2 binary64) x) #s(literal 4/3 binary64))))
✓	12.0%	(*.f64 x #s(literal 3/4 binary64))
	46.9%	(*.f64 #s(literal 1/2 binary64) (fabs.f64 y))
✓	12.1%	x

Compiler

Compiled 509 to 187 computations (63.3% saved)

regimes35.0ms (0.4%)

Memory

18.5MiB live, 97.7MiB allocated

Counts

32 → 1

Calls

Call 1

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

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

Calls

3 calls:

14.0ms	(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
10.0ms	x
9.0ms	y

Results

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

Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes12.0ms (0.1%)

Memory

-8.6MiB live, 29.1MiB allocated

Counts

8 → 3

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
76.1%	3	`x`
81.3%	3	`y`
76.4%	2	`(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))`

Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes3.0ms (0%)

Memory

10.9MiB live, 10.9MiB allocated

Counts

5 → 3

Calls

Call 1

Inputs
x
(*.f64 x #s(literal 3/4 binary64))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 x))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 y))
(fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) x)

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
79.3%	3	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes8.0ms (0.1%)

Memory

-13.4MiB live, 25.3MiB allocated

Counts

4 → 2

Calls

Call 1

Inputs
x
(*.f64 x #s(literal 3/4 binary64))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 x))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 y))

Outputs
(*.f64 x #s(literal 3/4 binary64))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 y))

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
46.9%	1	`x`
51.5%	2	`(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))`
46.9%	1	`y`

Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes6.0ms (0.1%)

Memory

21.0MiB live, 21.0MiB allocated

Accuracy

Total -3.3b remaining (-5.9%)

Threshold costs -3.3b (-5.9%)

Counts

3 → 1

Calls

Call 1

Inputs
x
(*.f64 x #s(literal 3/4 binary64))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 x))

Outputs
x

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
12.1%	1	`y`
12.1%	1	`x`
12.1%	1	`(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))`

Compiler

Compiled 16 to 11 computations (31.3% saved)

bsearch37.0ms (0.4%)

Memory

-7.9MiB live, 77.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	9.732471090020018e-29	9.593539009953319e-24
20.0ms	-2.064181403474551	-0.00017555946696705405

Samples

21.0ms	257×	0	valid
1.0ms	10×	2	valid
0.0ms	5×	1	valid

Compiler

Compiled 285 to 216 computations (24.2% saved)

Precisions

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

ival-div: 2.0ms (29.1% of total)

ival-sub: 2.0ms (29.1% 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)

exact: 0.0ms (0% of total)

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

bsearch26.0ms (0.3%)

Memory

-6.5MiB live, 68.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	8.093475506992079e-11	1.7305043961516486e-7
13.0ms	-2.064181403474551	-0.00017555946696705405

Samples

14.0ms	245×	0	valid
1.0ms	7×	1	valid
0.0ms	4×	2	valid

Compiler

Compiled 253 to 204 computations (19.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-sub: 4.0ms (43.5% of total)

ival-div: 2.0ms (21.7% of total)

ival-add: 1.0ms (10.9% of total)

ival-fabs: 1.0ms (10.9% of total)

adjust: 0.0ms (0% of total)

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

exact: 0.0ms (0% of total)

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

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-2.3203476182132972e-219	1.2252826362735387e-282

Compiler

Compiled 13 to 12 computations (7.7% saved)

simplify15.0ms (0.2%)

Memory

-16.2MiB live, 26.3MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	63
1	44	63
2	51	63
3	56	63
4	59	63
5	60	63

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)
(if (<=.f64 y #s(literal -6456360425798343/4611686018427387904 binary64)) (fma.f64 (fabs.f64 y) #s(literal 1/2 binary64) x) (if (<=.f64 y #s(literal 5172291977198265/1361129467683753853853498429727072845824 binary64)) (fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) x) (fma.f64 (fabs.f64 y) #s(literal 1/2 binary64) x)))
(if (<=.f64 y #s(literal -5/4 binary64)) (.f64 #s(literal 1/2 binary64) (fabs.f64 y)) (if (<=.f64 y #s(literal 6576556458703583/77371252455336267181195264 binary64)) (fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) (fabs.f64 y))))
(if (<=.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) #s(literal -794889263257963/397444631628981487398138749046400654145762820381874332451597321734669043887712482900704872660133498355324859058465554740779924491293392484209737542410542371636340473861337575820867913121689201875267327793591416000228568794576910811136 binary64)) (.f64 x #s(literal 3/4 binary64)) (.f64 #s(literal 1/2 binary64) (fabs.f64 y)))
x

Outputs
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)
(if (<=.f64 y #s(literal -6456360425798343/4611686018427387904 binary64)) (fma.f64 (fabs.f64 y) #s(literal 1/2 binary64) x) (if (<=.f64 y #s(literal 5172291977198265/1361129467683753853853498429727072845824 binary64)) (fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) x) (fma.f64 (fabs.f64 y) #s(literal 1/2 binary64) x)))
(if (<=.f64 y #s(literal -5/4 binary64)) (.f64 #s(literal 1/2 binary64) (fabs.f64 y)) (if (<=.f64 y #s(literal 6576556458703583/77371252455336267181195264 binary64)) (fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) (fabs.f64 y))))
(if (<=.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) #s(literal -794889263257963/397444631628981487398138749046400654145762820381874332451597321734669043887712482900704872660133498355324859058465554740779924491293392484209737542410542371636340473861337575820867913121689201875267327793591416000228568794576910811136 binary64)) (.f64 x #s(literal 3/4 binary64)) (.f64 #s(literal 1/2 binary64) (fabs.f64 y)))
x

soundness1.2s (13.8%)

Memory

14.2MiB live, 729.7MiB allocated

Rules

8 922×	`accelerator-lowering-fma.f32`
8 922×	`accelerator-lowering-fma.f64`
7 534×	`accelerator-lowering-fma.f32`
7 534×	`accelerator-lowering-fma.f64`
7 434×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	97
1	150	97
2	1025	97
0	9244	89
0	43	479
1	115	479
2	264	479
3	775	479
4	2426	479
5	3227	479
6	4255	479
7	5098	479
8	5671	479
9	6159	479
10	7875	479
0	8354	458
0	185	1760
1	502	1729
2	1200	1721
3	5297	1709
0	8349	1607
0	364	4105
1	1112	3925
2	3029	3697
0	8269	3433
0	7	21
1	47	21
2	376	21
3	5337	21
0	8337	20

Stop Event

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

Compiler

Compiled 199 to 122 computations (38.7% saved)

preprocess48.0ms (0.5%)

Memory: 3.4MiB live, 85.0MiB allocated
Compiler: Compiled 164 to 76 computations (53.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	23	56
1	52	48
2	135	48
3	262	48
4	382	48
5	459	48
6	522	48
7	565	48
8	569	48
9	572	48
10	574	48
0	7	8
1	12	8
2	19	8
3	27	8
4	46	8
5	93	8
6	151	8
7	180	8
8	225	8
9	261	8
10	297	8
11	309	8
12	315	8
13	318	8
14	320	8
0	320	7

Iter	Nodes	Cost
0	7	24
1	12	24
2	19	24
3	27	24
4	46	24
5	93	24
6	151	24
7	180	24
8	225	24
9	261	24
10	297	24
11	309	24
12	315	24
13	318	24
14	320	24
0	320	23

Iter	Nodes	Cost
0	23	56
1	52	48
2	135	48
3	262	48
4	382	48
5	459	48
6	522	48
7	565	48
8	569	48
9	572	48
10	574	48
0	7	8
1	12	8
2	19	8
3	27	8
4	46	8
5	93	8
6	151	8
7	180	8
8	225	8
9	261	8
10	297	8
11	309	8
12	315	8
13	318	8
14	320	8
0	320	7

Iter	Nodes	Cost
0	7	24
1	12	24
2	19	24
3	27	24
4	46	24
5	93	24
6	151	24
7	180	24
8	225	24
9	261	24
10	297	24
11	309	24
12	315	24
13	318	24
14	320	24
0	320	23

analyze0.0ms (0%)

sample1.1s (12.2%)

preprocess172.0ms (1.9%)

explain81.0ms (0.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify20.0ms (0.2%)

localize21.0ms (0.2%)

series4.0ms (0%)

rewrite501.0ms (5.6%)

simplify211.0ms (2.3%)

eval42.0ms (0.5%)

prune44.0ms (0.5%)

simplify228.0ms (2.5%)

localize93.0ms (1%)

series22.0ms (0.2%)

rewrite441.0ms (4.9%)

simplify511.0ms (5.7%)

eval355.0ms (4%)

prune204.0ms (2.3%)

simplify100.0ms (1.1%)

localize211.0ms (2.3%)

series19.0ms (0.2%)

rewrite483.0ms (5.4%)

simplify475.0ms (5.3%)

eval128.0ms (1.4%)

prune212.0ms (2.4%)

simplify203.0ms (2.3%)

localize120.0ms (1.3%)

series15.0ms (0.2%)

rewrite499.0ms (5.5%)

simplify798.0ms (8.9%)

eval163.0ms (1.8%)

prune88.0ms (1%)

regimes35.0ms (0.4%)

regimes12.0ms (0.1%)

regimes3.0ms (0%)

regimes8.0ms (0.1%)

regimes6.0ms (0.1%)

bsearch37.0ms (0.4%)

bsearch26.0ms (0.3%)

bsearch0.0ms (0%)

simplify15.0ms (0.2%)

soundness1.2s (13.8%)

preprocess48.0ms (0.5%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	23	56
1	52	48
2	135	48
3	262	48
4	382	48
5	459	48
6	522	48
7	565	48
8	569	48
9	572	48
10	574	48
0	7	8
1	12	8
2	19	8
3	27	8
4	46	8
5	93	8
6	151	8
7	180	8
8	225	8
9	261	8
10	297	8
11	309	8
12	315	8
13	318	8
14	320	8
0	320	7

Iter	Nodes	Cost
0	7	24
1	12	24
2	19	24
3	27	24
4	46	24
5	93	24
6	151	24
7	180	24
8	225	24
9	261	24
10	297	24
11	309	24
12	315	24
13	318	24
14	320	24
0	320	23