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

analyze0.0ms (0%)

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 11 to 8 computations (27.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

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

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

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

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

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

sample737.0ms (3%)

Results

455.0ms	7956×	0	valid
15.0ms	130×	1	valid
24.0ms	101×	2	valid
16.0ms	69×	3	valid

Precisions

Click to see histograms. Total time spent on operations: 291.0ms

ival-div: 85.0ms (29.2% of total)

ival-sub: 64.0ms (22% of total)

ival-fabs: 63.0ms (21.6% of total)

ival-add: 56.0ms (19.2% of total)

backward-pass: 13.0ms (4.5% of total)

const: 11.0ms (3.8% of total)

Bogosity

preprocess45.0ms (0.2%)

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

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))

explain66.0ms (0.3%)

FPErrors

Click to see full error table

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

Results

35.0ms	496×	0	valid
2.0ms	8×	3	valid
1.0ms	6×	2	valid
0.0ms	2×	1	valid

Compiler

Compiled 64 to 23 computations (64.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-div: 4.0ms (25.3% of total)

ival-sub: 4.0ms (25.3% of total)

ival-fabs: 3.0ms (19% of total)

ival-add: 3.0ms (19% of total)

const: 1.0ms (6.3% of total)

backward-pass: 1.0ms (6.3% of total)

eval0.0ms (0%)

Compiler: Compiled 10 to 7 computations (30% saved)

prune1.0ms (0%)

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)

localize58.0ms (0.2%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

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

Results

20.0ms	248×	0	valid
1.0ms	4×	3	valid
1.0ms	3×	2	valid
0.0ms	1×	1	valid

Compiler

Compiled 27 to 8 computations (70.4% saved)

Precisions

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

ival-div: 2.0ms (25.2% of total)

ival-sub: 2.0ms (25.2% of total)

ival-fabs: 2.0ms (25.2% of total)

ival-add: 1.0ms (12.6% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

series8.0ms (0%)

Counts

5 → 108

Calls

Call 1

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

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

Calls

27 calls:

Time	Variable		Point	Expression
1.0ms	y	@	-inf	(+ x (/ (fabs (- y x)) 2))
0.0ms	x	@	inf	(+ x (/ (fabs (- y x)) 2))
0.0ms	x	@	-inf	(+ x (/ (fabs (- y x)) 2))
0.0ms	y	@	inf	(+ x (/ (fabs (- y x)) 2))
0.0ms	x	@	-inf	x

rewrite339.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

4906×	`accelerator-lowering-fma.f32`
4906×	`accelerator-lowering-fma.f64`
4404×	`-lowering-.f32`
4404×	`-lowering-.f64`
2206×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	22
1	47	22
2	376	22
3	5337	22
0	8337	21

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 245

Calls

Call 1

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

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

simplify230.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

3132×	`/-lowering-/.f32`
3132×	`/-lowering-/.f64`
2520×	`accelerator-lowering-fma.f32`
2520×	`accelerator-lowering-fma.f64`
2222×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	491
1	115	491
2	264	491
3	773	491
4	2419	491
5	3218	491
6	4243	491
7	5101	491
8	5674	491
9	6162	491
10	7847	491
0	8336	470

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 108

Calls

Call 1

Inputs
(* 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)))))
(* 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))))
x
x
x
x
x
x
x
x
x
x
x
x

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

eval50.0ms (0.2%)

Compiler: Compiled 8113 to 948 computations (88.3% saved)

prune124.0ms (0.5%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	362	9	371
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	362	10	372

Accuracy

100.0%

Counts

372 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.2%	(fma.f64 (pow.f64 (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) x)
	55.4%	(/.f64 (-.f64 (/.f64 (.f64 (-.f64 y x) (-.f64 y x)) #s(literal 4 binary64)) (.f64 x x)) (-.f64 (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) x))
	56.9%	(+.f64 x (pow.f64 (/.f64 #s(literal 4 binary64) (*.f64 (-.f64 y x) (-.f64 y x))) #s(literal -1/2 binary64)))
▶	56.5%	(+.f64 x (/.f64 (fabs.f64 (/.f64 (-.f64 (.f64 y y) (.f64 x x)) (+.f64 x y))) #s(literal 2 binary64)))
✓	99.9%	(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
▶	48.9%	(+.f64 x (/.f64 (fabs.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 2 binary64)))
▶	53.7%	(+.f64 x (/.f64 (fabs.f64 (.f64 (+.f64 (.f64 x x) (.f64 y (+.f64 x y))) (.f64 (-.f64 y x) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (.f64 y (+.f64 x y))))))) #s(literal 2 binary64)))
	59.9%	(+.f64 x (/.f64 (fabs.f64 y) #s(literal 2 binary64)))
▶	99.7%	(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 y x)))))
▶	10.9%	x

Compiler

Compiled 294 to 171 computations (41.8% saved)

localize634.0ms (2.6%)

Algorithm

1×	egg-herbie

Localize:

Found 33 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	1408	(.f64 (+.f64 (.f64 x x) (.f64 y (+.f64 x y))) (.f64 (-.f64 y x) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (.f64 y (+.f64 x y))))))
✓	cost-diff	1408	(fabs.f64 (.f64 (+.f64 (.f64 x x) (.f64 y (+.f64 x y))) (.f64 (-.f64 y x) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (.f64 y (+.f64 x y)))))))
✓	cost-diff	1408	(/.f64 (fabs.f64 (.f64 (+.f64 (.f64 x x) (.f64 y (+.f64 x y))) (.f64 (-.f64 y x) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (.f64 y (+.f64 x y))))))) #s(literal 2 binary64))
✓	cost-diff	1408	(+.f64 x (/.f64 (fabs.f64 (.f64 (+.f64 (.f64 x x) (.f64 y (+.f64 x y))) (.f64 (-.f64 y x) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (.f64 y (+.f64 x y))))))) #s(literal 2 binary64)))
✓	cost-diff	512	(/.f64 (-.f64 (.f64 y y) (.f64 x x)) (+.f64 x y))
✓	cost-diff	512	(fabs.f64 (/.f64 (-.f64 (.f64 y y) (.f64 x x)) (+.f64 x y)))
✓	cost-diff	512	(/.f64 (fabs.f64 (/.f64 (-.f64 (.f64 y y) (.f64 x x)) (+.f64 x y))) #s(literal 2 binary64))
✓	cost-diff	512	(+.f64 x (/.f64 (fabs.f64 (/.f64 (-.f64 (.f64 y y) (.f64 x x)) (+.f64 x y))) #s(literal 2 binary64)))
✓	cost-diff	0	x
✓	cost-diff	128	(fabs.f64 (-.f64 #s(literal 0 binary64) x))
✓	cost-diff	128	(/.f64 (fabs.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 2 binary64))
✓	cost-diff	128	(+.f64 x (/.f64 (fabs.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 2 binary64)))
✓	cost-diff	0	x
✓	cost-diff	0	#s(literal 1 binary64)
✓	cost-diff	0	x
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.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)))))
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (.f64 y (+.f64 x y))))
✓	accuracy	97.8%	(+.f64 (.f64 x x) (.f64 y (+.f64 x y)))
✓	accuracy	57.4%	(.f64 (-.f64 y x) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (*.f64 y (+.f64 x y)))))
✓	accuracy	57.3%	(.f64 (+.f64 (.f64 x x) (.f64 y (+.f64 x y))) (.f64 (-.f64 y x) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (.f64 y (+.f64 x y))))))
✓	accuracy	100.0%	(fabs.f64 (/.f64 (-.f64 (.f64 y y) (.f64 x x)) (+.f64 x y)))
✓	accuracy	99.9%	(+.f64 x (/.f64 (fabs.f64 (/.f64 (-.f64 (.f64 y y) (.f64 x x)) (+.f64 x y))) #s(literal 2 binary64)))
✓	accuracy	94.2%	(-.f64 (.f64 y y) (.f64 x x))
✓	accuracy	57.5%	(/.f64 (-.f64 (.f64 y y) (.f64 x x)) (+.f64 x y))
✓	accuracy	100.0%	(/.f64 (fabs.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 2 binary64))
✓	accuracy	100.0%	(-.f64 #s(literal 0 binary64) x)
✓	accuracy	100.0%	(+.f64 x (/.f64 (fabs.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 2 binary64)))
✓	accuracy	100.0%	(fabs.f64 (-.f64 #s(literal 0 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))))

Rules

10520×	`accelerator-lowering-fma.f32`
10520×	`accelerator-lowering-fma.f64`
5280×	`-lowering-.f32`
5280×	`-lowering-.f64`
1694×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	147
1	74	142
2	168	142
3	612	142
4	3821	142
0	8251	136

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(+ x (/ 1 (/ 2 (fabs (- y x)))))
x
(/ 1 (/ 2 (fabs (- y x))))
1
(/ 2 (fabs (- y x)))
2
(fabs (- y x))
(- y x)
y
(+ x (/ (fabs (- 0 x)) 2))
(/ (fabs (- 0 x)) 2)
(fabs (- 0 x))
(- 0 x)
0
(+ x (/ (fabs (/ (- (* y y) (* x x)) (+ x y))) 2))
(/ (fabs (/ (- (* y y) (* x x)) (+ x y))) 2)
(fabs (/ (- (* y y) (* x x)) (+ x y)))
(/ (- (* y y) (* x x)) (+ x y))
(- (* y y) (* x x))
(* y y)
(* x x)
(+ x y)
(+ x (/ (fabs (* (+ (* x x) (* y (+ x y))) (* (- y x) (/ 1 (+ (* x x) (* y (+ x y))))))) 2))
(/ (fabs (* (+ (* x x) (* y (+ x y))) (* (- y x) (/ 1 (+ (* x x) (* y (+ x y))))))) 2)
(fabs (* (+ (* x x) (* y (+ x y))) (* (- y x) (/ 1 (+ (* x x) (* y (+ x y)))))))
(* (+ (* x x) (* y (+ x y))) (* (- y x) (/ 1 (+ (* x x) (* y (+ x y))))))
(+ (* x x) (* y (+ x y)))
(* y (+ x y))
(* (- y x) (/ 1 (+ (* x x) (* y (+ x y)))))
(/ 1 (+ (* x x) (* y (+ x y))))

Outputs
(+ x (/ 1 (/ 2 (fabs (- y x)))))
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
x
(/ 1 (/ 2 (fabs (- y x))))
(/.f64 (fabs.f64 (-.f64 y x)) #s(literal 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
(+ x (/ (fabs (- 0 x)) 2))
(+.f64 x (/.f64 (fabs.f64 x) #s(literal 2 binary64)))
(/ (fabs (- 0 x)) 2)
(/.f64 (fabs.f64 x) #s(literal 2 binary64))
(fabs (- 0 x))
(fabs.f64 x)
(- 0 x)
(-.f64 #s(literal 0 binary64) x)
0
#s(literal 0 binary64)
(+ x (/ (fabs (/ (- (* y y) (* x x)) (+ x y))) 2))
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
(/ (fabs (/ (- (* y y) (* x x)) (+ x y))) 2)
(/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))
(fabs (/ (- (* y y) (* x x)) (+ x y)))
(fabs.f64 (-.f64 y x))
(/ (- (* y y) (* x x)) (+ x y))
(-.f64 y x)
(- (* y y) (* x x))
(-.f64 (.f64 y y) (.f64 x x))
(* y y)
(*.f64 y y)
(* x x)
(*.f64 x x)
(+ x y)
(+.f64 x y)
(+ x (/ (fabs (* (+ (* x x) (* y (+ x y))) (* (- y x) (/ 1 (+ (* x x) (* y (+ x y))))))) 2))
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
(/ (fabs (* (+ (* x x) (* y (+ x y))) (* (- y x) (/ 1 (+ (* x x) (* y (+ x y))))))) 2)
(/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))
(fabs (* (+ (* x x) (* y (+ x y))) (* (- y x) (/ 1 (+ (* x x) (* y (+ x y)))))))
(fabs.f64 (-.f64 y x))
(* (+ (* x x) (* y (+ x y))) (* (- y x) (/ 1 (+ (* x x) (* y (+ x y))))))
(-.f64 y x)
(+ (* x x) (* y (+ x y)))
(+.f64 (.f64 y y) (.f64 x (+.f64 x y)))
(* y (+ x y))
(*.f64 y (+.f64 x y))
(* (- y x) (/ 1 (+ (* x x) (* y (+ x y)))))
(/.f64 (-.f64 y x) (+.f64 (.f64 y y) (.f64 x (+.f64 x y))))
(/ 1 (+ (* x x) (* y (+ x y))))
(/.f64 #s(literal 1 binary64) (+.f64 (.f64 y y) (.f64 x (+.f64 x y))))

Results

92.0ms	234×	0	valid
11.0ms	8×	3	valid
7.0ms	7×	2	valid
4.0ms	6×	1	valid
15.0ms	1×	5	exit

Compiler

Compiled 297 to 31 computations (89.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 65.0ms

ival-mult: 19.0ms (29% of total)

ival-div: 15.0ms (22.9% of total)

ival-add: 11.0ms (16.8% of total)

backward-pass: 8.0ms (12.2% of total)

ival-fabs: 7.0ms (10.7% of total)

ival-sub: 5.0ms (7.6% of total)

const: 1.0ms (1.5% of total)

series71.0ms (0.3%)

Counts

22 → 444

Calls

Call 1

Inputs
#<alt (/ 1 (/ 2 (fabs (- y x))))>
#<alt (+ x (/ 1 (/ 2 (fabs (- y x)))))>
#<alt (/ 2 (fabs (- y x)))>
#<alt (fabs (- y x))>
#<alt (fabs (- 0 x))>
#<alt (+ x (/ (fabs (- 0 x)) 2))>
#<alt (- 0 x)>
#<alt (/ (fabs (- 0 x)) 2)>
#<alt (/ (- (* y y) (* x x)) (+ x y))>
#<alt (- (* y y) (* x x))>
#<alt (+ x (/ (fabs (/ (- (* y y) (* x x)) (+ x y))) 2))>
#<alt (fabs (/ (- (* y y) (* x x)) (+ x y)))>
#<alt (* (+ (* x x) (* y (+ x y))) (* (- y x) (/ 1 (+ (* x x) (* y (+ x y))))))>
#<alt (* (- y x) (/ 1 (+ (* x x) (* y (+ x y)))))>
#<alt (+ (* x x) (* y (+ x y)))>
#<alt (/ 1 (+ (* x x) (* y (+ x y))))>
#<alt x>
#<alt 1>
#<alt (/ (fabs (/ (- (* y y) (* x x)) (+ x y))) 2)>
#<alt (+ x (/ (fabs (* (+ (* x x) (* y (+ x y))) (* (- y x) (/ 1 (+ (* x x) (* y (+ x y))))))) 2))>
#<alt (/ (fabs (* (+ (* x x) (* y (+ x y))) (* (- y x) (/ 1 (+ (* x x) (* y (+ x y))))))) 2)>
#<alt (fabs (* (+ (* x x) (* y (+ x y))) (* (- y x) (/ 1 (+ (* x x) (* y (+ x y)))))))>

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 (/ 2 (fabs (- y x)))>
#<alt (/ 2 (fabs (- y x)))>
#<alt (/ 2 (fabs (- y x)))>
#<alt (/ 2 (fabs (- y x)))>
#<alt (/ 2 (fabs (- y x)))>
#<alt (/ 2 (fabs (- y x)))>
#<alt (/ 2 (fabs (- y x)))>
#<alt (/ 2 (fabs (- y x)))>
#<alt (/ 2 (fabs (neg (+ x (* -1 y)))))>
#<alt (/ 2 (fabs (neg (+ x (* -1 y)))))>
#<alt (/ 2 (fabs (neg (+ x (* -1 y)))))>
#<alt (/ 2 (fabs (neg (+ x (* -1 y)))))>
#<alt (/ 2 (fabs (- y x)))>
#<alt (/ 2 (fabs (- y x)))>
#<alt (/ 2 (fabs (- y x)))>
#<alt (/ 2 (fabs (- y x)))>
#<alt (/ 2 (fabs (- y x)))>
#<alt (/ 2 (fabs (- y x)))>
#<alt (/ 2 (fabs (- y x)))>
#<alt (/ 2 (fabs (- y x)))>
#<alt (/ 2 (fabs (+ y (* -1 x))))>
#<alt (/ 2 (fabs (+ y (* -1 x))))>
#<alt (/ 2 (fabs (+ y (* -1 x))))>
#<alt (/ 2 (fabs (+ y (* -1 x))))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (neg (+ x (* -1 y))))>
#<alt (fabs (neg (+ x (* -1 y))))>
#<alt (fabs (neg (+ x (* -1 y))))>
#<alt (fabs (neg (+ x (* -1 y))))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (+ y (* -1 x)))>
#<alt (fabs (+ y (* -1 x)))>
#<alt (fabs (+ y (* -1 x)))>
#<alt (fabs (+ y (* -1 x)))>
#<alt (fabs (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 x)>
#<alt (+ y (* -1 x))>
#<alt (+ y (* -1 x))>
#<alt (+ y (* -1 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 (pow x 2))>
#<alt (- (pow y 2) (pow x 2))>
#<alt (- (pow y 2) (pow x 2))>
#<alt (- (pow y 2) (pow x 2))>
#<alt (pow y 2)>
#<alt (* (pow y 2) (+ 1 (* -1 (/ (pow x 2) (pow y 2)))))>
#<alt (* (pow y 2) (+ 1 (* -1 (/ (pow x 2) (pow y 2)))))>
#<alt (* (pow y 2) (+ 1 (* -1 (/ (pow x 2) (pow y 2)))))>
#<alt (pow y 2)>
#<alt (* (pow y 2) (+ 1 (* -1 (/ (pow x 2) (pow y 2)))))>
#<alt (* (pow y 2) (+ 1 (* -1 (/ (pow x 2) (pow y 2)))))>
#<alt (* (pow y 2) (+ 1 (* -1 (/ (pow x 2) (pow y 2)))))>
#<alt (pow y 2)>
#<alt (+ (* -1 (pow x 2)) (pow y 2))>
#<alt (+ (* -1 (pow x 2)) (pow y 2))>
#<alt (+ (* -1 (pow x 2)) (pow y 2))>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (/ (pow y 2) (pow x 2)) 1))>
#<alt (* (pow x 2) (- (/ (pow y 2) (pow x 2)) 1))>
#<alt (* (pow x 2) (- (/ (pow y 2) (pow x 2)) 1))>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (/ (pow y 2) (pow x 2)) 1))>
#<alt (* (pow x 2) (- (/ (pow y 2) (pow x 2)) 1))>
#<alt (* (pow x 2) (- (/ (pow y 2) (pow x 2)) 1))>
#<alt (* 1/2 (fabs (/ (- (pow y 2) (pow x 2)) (+ x y))))>
#<alt (+ x (* 1/2 (fabs (/ (- (pow y 2) (pow x 2)) (+ x y)))))>
#<alt (+ x (* 1/2 (fabs (/ (- (pow y 2) (pow x 2)) (+ x y)))))>
#<alt (+ x (* 1/2 (fabs (/ (- (pow y 2) (pow x 2)) (+ x y)))))>
#<alt x>
#<alt (* x (+ 1 (* 1/2 (/ (fabs (/ (- (pow y 2) (pow x 2)) (+ x y))) x))))>
#<alt (* x (+ 1 (* 1/2 (/ (fabs (/ (- (pow y 2) (pow x 2)) (+ x y))) x))))>
#<alt (* x (+ 1 (* 1/2 (/ (fabs (/ (- (pow y 2) (pow x 2)) (+ x y))) x))))>
#<alt x>
#<alt (* -1 (* x (- (* -1/2 (/ (fabs (/ (- (pow y 2) (pow x 2)) (- y (* -1 x)))) x)) 1)))>
#<alt (* -1 (* x (- (* -1/2 (/ (fabs (/ (- (pow y 2) (pow x 2)) (- y (* -1 x)))) x)) 1)))>
#<alt (* -1 (* x (- (* -1/2 (/ (fabs (/ (- (pow y 2) (pow x 2)) (- y (* -1 x)))) x)) 1)))>
#<alt (+ x (* 1/2 (fabs (/ (- (pow y 2) (pow x 2)) (+ x y)))))>
#<alt (+ x (* 1/2 (fabs (/ (- (pow y 2) (pow x 2)) (+ x y)))))>
#<alt (+ x (* 1/2 (fabs (/ (- (pow y 2) (pow x 2)) (+ x y)))))>
#<alt (+ x (* 1/2 (fabs (/ (- (pow y 2) (pow x 2)) (+ x y)))))>
#<alt (+ x (* 1/2 (fabs (/ (- (pow y 2) (pow x 2)) (+ x y)))))>
#<alt (+ x (* 1/2 (fabs (/ (- (pow y 2) (pow x 2)) (+ x y)))))>
#<alt (+ x (* 1/2 (fabs (/ (- (pow y 2) (pow x 2)) (+ x y)))))>
#<alt (+ x (* 1/2 (fabs (/ (- (pow y 2) (pow x 2)) (+ x y)))))>
#<alt (+ x (* 1/2 (fabs (/ (- (pow y 2) (pow x 2)) (- x (* -1 y))))))>
#<alt (+ x (* 1/2 (fabs (/ (- (pow y 2) (pow x 2)) (- x (* -1 y))))))>
#<alt (+ x (* 1/2 (fabs (/ (- (pow y 2) (pow x 2)) (- x (* -1 y))))))>
#<alt (+ x (* 1/2 (fabs (/ (- (pow y 2) (pow x 2)) (- x (* -1 y))))))>
#<alt (fabs (/ (- (pow y 2) (pow x 2)) (+ x y)))>
#<alt (fabs (/ (- (pow y 2) (pow x 2)) (+ x y)))>
#<alt (fabs (/ (- (pow y 2) (pow x 2)) (+ x y)))>
#<alt (fabs (/ (- (pow y 2) (pow x 2)) (+ x y)))>
#<alt (fabs (/ (- (pow y 2) (pow x 2)) (+ x y)))>
#<alt (fabs (/ (- (pow y 2) (pow x 2)) (+ x y)))>
#<alt (fabs (/ (- (pow y 2) (pow x 2)) (+ x y)))>
#<alt (fabs (/ (- (pow y 2) (pow x 2)) (+ x y)))>
#<alt (fabs (/ (- (pow y 2) (pow x 2)) (- x (* -1 y))))>
#<alt (fabs (/ (- (pow y 2) (pow x 2)) (- x (* -1 y))))>
#<alt (fabs (/ (- (pow y 2) (pow x 2)) (- x (* -1 y))))>
#<alt (fabs (/ (- (pow y 2) (pow x 2)) (- x (* -1 y))))>
#<alt (fabs (/ (- (pow y 2) (pow x 2)) (+ x y)))>
#<alt (fabs (/ (- (pow y 2) (pow x 2)) (+ x y)))>
#<alt (fabs (/ (- (pow y 2) (pow x 2)) (+ x y)))>
#<alt (fabs (/ (- (pow y 2) (pow x 2)) (+ x y)))>
#<alt (fabs (/ (- (pow y 2) (pow x 2)) (+ x y)))>
#<alt (fabs (/ (- (pow y 2) (pow x 2)) (+ x y)))>
#<alt (fabs (/ (- (pow y 2) (pow x 2)) (+ x y)))>
#<alt (fabs (/ (- (pow y 2) (pow x 2)) (+ x y)))>
#<alt (fabs (/ (- (pow y 2) (pow x 2)) (- y (* -1 x))))>
#<alt (fabs (/ (- (pow y 2) (pow x 2)) (- y (* -1 x))))>
#<alt (fabs (/ (- (pow y 2) (pow x 2)) (- y (* -1 x))))>
#<alt (fabs (/ (- (pow y 2) (pow x 2)) (- y (* -1 x))))>
#<alt y>
#<alt (+ y (* -1 x))>
#<alt (+ y (* -1 x))>
#<alt (+ y (* -1 x))>
#<alt (* -1 x)>
#<alt (* x (- (/ y x) 1))>
#<alt (* x (- (/ y x) 1))>
#<alt (* x (- (/ y x) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* -1 (/ y x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ y x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ y x)))))>
#<alt (* -1 x)>
#<alt (- 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 (/ -1 x)>
#<alt (- (* 2 (/ y (pow x 2))) (/ 1 x))>
#<alt (- (* y (+ (* -1 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (/ 1 x))>
#<alt (- (* y (+ (* y (- (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (* 2 (/ 1 (pow x 2))))) (/ 1 x))>
#<alt (/ 1 y)>
#<alt (/ (- (+ 1 (* -1 (/ x y))) (/ x y)) y)>
#<alt (/ (- (+ 1 (+ (* -1 (/ x y)) (* -1 (/ (+ (* x (- (* -1 x) x)) (pow x 2)) (pow y 2))))) (/ x y)) y)>
#<alt (/ (- (+ 1 (+ (* -1 (/ x y)) (* -1 (/ (+ (* -1 (* x (+ (* x (- (* -1 x) x)) (pow x 2)))) (* (pow x 2) (- (* -1 x) x))) (pow y 3))))) (+ (/ x y) (+ (/ (* x (- (* -1 x) x)) (pow y 2)) (/ (pow x 2) (pow y 2))))) y)>
#<alt (/ 1 y)>
#<alt (* -1 (/ (- (/ x y) (+ 1 (* -1 (/ x y)))) y))>
#<alt (* -1 (/ (- (* -1 (/ (+ (* -1 (- x (* -1 x))) (* -1 (/ (+ (* -1 (* x (- x (* -1 x)))) (pow x 2)) y))) y)) 1) y))>
#<alt (* -1 (/ (- (* -1 (/ (+ (* -1 (- x (* -1 x))) (* -1 (/ (+ (* -1 (* x (- x (* -1 x)))) (+ (* -1 (/ (+ (* x (+ (* -1 (* x (- x (* -1 x)))) (pow x 2))) (* (pow x 2) (- x (* -1 x)))) y)) (pow x 2))) y))) y)) 1) y))>
#<alt (/ 1 y)>
#<alt (+ (* -2 (/ x (pow y 2))) (/ 1 y))>
#<alt (+ (* x (- (/ x (pow y 3)) (* 2 (/ 1 (pow y 2))))) (/ 1 y))>
#<alt (+ (* x (- (* x (+ (/ 1 (pow y 3)) (/ x (pow y 4)))) (* 2 (/ 1 (pow y 2))))) (/ 1 y))>
#<alt (/ -1 x)>
#<alt (/ (- (/ y x) (+ 1 (* -1 (/ y x)))) x)>
#<alt (/ (- (+ (* -1 (/ (+ (* -1 (pow y 2)) (* y (- y (* -1 y)))) (pow x 2))) (/ y x)) (+ 1 (* -1 (/ y x)))) x)>
#<alt (/ (- (+ (* -1 (/ (+ (* -1 (* y (+ (* -1 (pow y 2)) (* y (- y (* -1 y)))))) (* (pow y 2) (- y (* -1 y)))) (pow x 3))) (/ y x)) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ (* y (- y (* -1 y))) (pow x 2)))))) x)>
#<alt (/ -1 x)>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- y (* -1 y)) x))) x))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (+ y (+ (* -1 (/ (* y (- y (* -1 y))) x)) (/ (pow y 2) x))) (* -1 y)) x))) x))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (+ y (* -1 (/ (- (+ (/ (* y (+ (* -1 (* y (- y (* -1 y)))) (pow y 2))) x) (/ (* (pow y 2) (- y (* -1 y))) x)) (+ (* -1 (* y (- y (* -1 y)))) (pow y 2))) x))) (* -1 y)) x))) x))>
#<alt (pow y 2)>
#<alt (+ (* x y) (pow y 2))>
#<alt (+ (* x (+ x y)) (pow y 2))>
#<alt (+ (* x (+ x y)) (pow y 2))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ y x)))>
#<alt (* (pow x 2) (+ 1 (+ (/ y x) (/ (pow y 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (+ (/ y x) (/ (pow y 2) (pow x 2)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ y x)))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 y) (* -1 (/ (pow y 2) x))) x))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 y) (* -1 (/ (pow y 2) x))) x))))>
#<alt (pow x 2)>
#<alt (+ (* x y) (pow x 2))>
#<alt (+ (* y (+ x y)) (pow x 2))>
#<alt (+ (* y (+ x y)) (pow x 2))>
#<alt (pow y 2)>
#<alt (* (pow y 2) (+ 1 (/ x y)))>
#<alt (* (pow y 2) (+ 1 (+ (/ x y) (/ (pow x 2) (pow y 2)))))>
#<alt (* (pow y 2) (+ 1 (+ (/ x y) (/ (pow x 2) (pow y 2)))))>
#<alt (pow y 2)>
#<alt (* (pow y 2) (+ 1 (/ x y)))>
#<alt (* (pow y 2) (+ 1 (* -1 (/ (+ (* -1 x) (* -1 (/ (pow x 2) y))) y))))>
#<alt (* (pow y 2) (+ 1 (* -1 (/ (+ (* -1 x) (* -1 (/ (pow x 2) y))) y))))>
#<alt (/ 1 (pow y 2))>
#<alt (+ (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))>
#<alt (+ (* x (- (/ (pow x 2) (pow y 5)) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))>
#<alt (+ (* x (- (* (pow x 2) (+ (* -1 (/ x (pow y 6))) (/ 1 (pow y 5)))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))>
#<alt (/ 1 (pow x 2))>
#<alt (/ (+ 1 (* -1 (/ y x))) (pow x 2))>
#<alt (/ (- (+ 1 (* -1 (/ (+ (* -1 (pow y 2)) (pow y 2)) (pow x 2)))) (/ y x)) (pow x 2))>
#<alt (/ (- (+ 1 (* -1 (/ (+ (* -1 (* y (+ (* -1 (pow y 2)) (pow y 2)))) (* -1 (pow y 3))) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (/ y x) (/ (pow y 2) (pow x 2))))) (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ (+ 1 (* -1 (/ y x))) (pow x 2))>
#<alt (/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow y 2) x)) (/ (pow y 2) x)) (* -1 y)) x))) (pow x 2))>
#<alt (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (/ (* y (+ (* -1 (pow y 2)) (pow y 2))) x) (/ (pow y 3) x)) (+ (* -1 (pow y 2)) (pow y 2))) x)) (* -1 y)) x))) (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))>
#<alt (+ (* y (- (/ (pow y 2) (pow x 5)) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))>
#<alt (+ (* y (- (* (pow y 2) (+ (* -1 (/ y (pow x 6))) (/ 1 (pow x 5)))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))>
#<alt (/ 1 (pow y 2))>
#<alt (/ (+ 1 (* -1 (/ x y))) (pow y 2))>
#<alt (/ (- (+ 1 (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) (pow y 2)))) (/ x y)) (pow y 2))>
#<alt (/ (- (+ 1 (* -1 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (pow x 2)))) (* -1 (pow x 3))) (pow y 3)))) (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (/ x y) (/ (pow x 2) (pow y 2))))) (pow y 2))>
#<alt (/ 1 (pow y 2))>
#<alt (/ (+ 1 (* -1 (/ x y))) (pow y 2))>
#<alt (/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow x 2) y)) (/ (pow x 2) y)) (* -1 x)) y))) (pow y 2))>
#<alt (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (/ (* x (+ (* -1 (pow x 2)) (pow x 2))) y) (/ (pow x 3) y)) (+ (* -1 (pow x 2)) (pow x 2))) y)) (* -1 x)) y))) (pow y 2))>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt (* 1/2 (fabs (/ (- (pow y 2) (pow x 2)) (+ x y))))>
#<alt (* 1/2 (fabs (/ (- (pow y 2) (pow x 2)) (+ x y))))>
#<alt (* 1/2 (fabs (/ (- (pow y 2) (pow x 2)) (+ x y))))>
#<alt (* 1/2 (fabs (/ (- (pow y 2) (pow x 2)) (+ x y))))>
#<alt (* 1/2 (fabs (/ (- (pow y 2) (pow x 2)) (+ x y))))>
#<alt (* 1/2 (fabs (/ (- (pow y 2) (pow x 2)) (+ x y))))>
#<alt (* 1/2 (fabs (/ (- (pow y 2) (pow x 2)) (+ x y))))>
#<alt (* 1/2 (fabs (/ (- (pow y 2) (pow x 2)) (+ x y))))>
#<alt (* 1/2 (fabs (/ (- (pow y 2) (pow x 2)) (- x (* -1 y)))))>
#<alt (* 1/2 (fabs (/ (- (pow y 2) (pow x 2)) (- x (* -1 y)))))>
#<alt (* 1/2 (fabs (/ (- (pow y 2) (pow x 2)) (- x (* -1 y)))))>
#<alt (* 1/2 (fabs (/ (- (pow y 2) (pow x 2)) (- x (* -1 y)))))>
#<alt (* 1/2 (fabs (/ (- (pow y 2) (pow x 2)) (+ x y))))>
#<alt (* 1/2 (fabs (/ (- (pow y 2) (pow x 2)) (+ x y))))>
#<alt (* 1/2 (fabs (/ (- (pow y 2) (pow x 2)) (+ x y))))>
#<alt (* 1/2 (fabs (/ (- (pow y 2) (pow x 2)) (+ x y))))>
#<alt (* 1/2 (fabs (/ (- (pow y 2) (pow x 2)) (+ x y))))>
#<alt (* 1/2 (fabs (/ (- (pow y 2) (pow x 2)) (+ x y))))>
#<alt (* 1/2 (fabs (/ (- (pow y 2) (pow x 2)) (+ x y))))>
#<alt (* 1/2 (fabs (/ (- (pow y 2) (pow x 2)) (+ x y))))>
#<alt (* 1/2 (fabs (/ (- (pow y 2) (pow x 2)) (- y (* -1 x)))))>
#<alt (* 1/2 (fabs (/ (- (pow y 2) (pow x 2)) (- y (* -1 x)))))>
#<alt (* 1/2 (fabs (/ (- (pow y 2) (pow x 2)) (- y (* -1 x)))))>
#<alt (* 1/2 (fabs (/ (- (pow y 2) (pow x 2)) (- y (* -1 x)))))>
#<alt (* 1/2 (fabs (- y x)))>
#<alt (+ x (* 1/2 (fabs (- y x))))>
#<alt (+ x (* 1/2 (fabs (- y x))))>
#<alt (+ x (* 1/2 (fabs (- y x))))>
#<alt x>
#<alt (* x (+ 1 (* 1/2 (/ (fabs (- y x)) x))))>
#<alt (* x (+ 1 (* 1/2 (/ (fabs (- y x)) x))))>
#<alt (* x (+ 1 (* 1/2 (/ (fabs (- y x)) x))))>
#<alt x>
#<alt (* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1)))>
#<alt (* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1)))>
#<alt (* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1)))>
#<alt (+ x (* 1/2 (fabs (- y x))))>
#<alt (+ x (* 1/2 (fabs (- y x))))>
#<alt (+ x (* 1/2 (fabs (- y x))))>
#<alt (+ x (* 1/2 (fabs (- y x))))>
#<alt (+ x (* 1/2 (fabs (- y x))))>
#<alt (+ x (* 1/2 (fabs (- y x))))>
#<alt (+ x (* 1/2 (fabs (- y x))))>
#<alt (+ x (* 1/2 (fabs (- y x))))>
#<alt (+ x (* 1/2 (fabs (* -1 (+ x (* -1 y))))))>
#<alt (+ x (* 1/2 (fabs (* -1 (+ x (* -1 y))))))>
#<alt (+ x (* 1/2 (fabs (* -1 (+ x (* -1 y))))))>
#<alt (+ x (* 1/2 (fabs (* -1 (+ x (* -1 y))))))>
#<alt (* 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 (* 1/2 (fabs (- y x)))>
#<alt (* 1/2 (fabs (- y x)))>
#<alt (* 1/2 (fabs (- y x)))>
#<alt (* 1/2 (fabs (- y x)))>
#<alt (* 1/2 (fabs (- y x)))>
#<alt (* 1/2 (fabs (- y x)))>
#<alt (* 1/2 (fabs (- y x)))>
#<alt (* 1/2 (fabs (* -1 (+ x (* -1 y)))))>
#<alt (* 1/2 (fabs (* -1 (+ x (* -1 y)))))>
#<alt (* 1/2 (fabs (* -1 (+ x (* -1 y)))))>
#<alt (* 1/2 (fabs (* -1 (+ x (* -1 y)))))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (+ y (* -1 x)))>
#<alt (fabs (+ y (* -1 x)))>
#<alt (fabs (+ y (* -1 x)))>
#<alt (fabs (+ y (* -1 x)))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (- y x))>
#<alt (fabs (* -1 (+ x (* -1 y))))>
#<alt (fabs (* -1 (+ x (* -1 y))))>
#<alt (fabs (* -1 (+ x (* -1 y))))>
#<alt (fabs (* -1 (+ x (* -1 y))))>

Calls

111 calls:

Time	Variable		Point	Expression
29.0ms	y	@	-inf	(+ x (/ (fabs (* (+ (* x x) (* y (+ x y))) (* (- y x) (/ 1 (+ (* x x) (* y (+ x y))))))) 2))
2.0ms	x	@	inf	(/ (- (* y y) (* x x)) (+ x y))
1.0ms	y	@	-inf	(/ 2 (fabs (- y x)))
1.0ms	x	@	inf	(* (- y x) (/ 1 (+ (* x x) (* y (+ x y)))))
1.0ms	y	@	0	(/ (- (* y y) (* x x)) (+ x y))

rewrite578.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

4904×	`-lowering-.f32`
4904×	`-lowering-.f64`
4390×	`/-lowering-/.f32`
4390×	`/-lowering-/.f64`
2874×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	125
1	222	122
2	2060	122
0	8685	115

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 1416

Calls

Call 1

Inputs
(/ 1 (/ 2 (fabs (- y x))))
(+ x (/ 1 (/ 2 (fabs (- y x)))))
(/ 2 (fabs (- y x)))
(fabs (- y x))
(fabs (- 0 x))
(+ x (/ (fabs (- 0 x)) 2))
(- 0 x)
(/ (fabs (- 0 x)) 2)
(/ (- (* y y) (* x x)) (+ x y))
(- (* y y) (* x x))
(+ x (/ (fabs (/ (- (* y y) (* x x)) (+ x y))) 2))
(fabs (/ (- (* y y) (* x x)) (+ x y)))
(* (+ (* x x) (* y (+ x y))) (* (- y x) (/ 1 (+ (* x x) (* y (+ x y))))))
(* (- y x) (/ 1 (+ (* x x) (* y (+ x y)))))
(+ (* x x) (* y (+ x y)))
(/ 1 (+ (* x x) (* y (+ x y))))
x
1
(/ (fabs (/ (- (* y y) (* x x)) (+ x y))) 2)
(+ x (/ (fabs (* (+ (* x x) (* y (+ x y))) (* (- y x) (/ 1 (+ (* x x) (* y (+ x y))))))) 2))
(/ (fabs (* (+ (* x x) (* y (+ x y))) (* (- y x) (/ 1 (+ (* x x) (* y (+ x y))))))) 2)
(fabs (* (+ (* x x) (* y (+ x y))) (* (- y x) (/ 1 (+ (* x x) (* y (+ x y)))))))

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

simplify586.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

10918×	`accelerator-lowering-fma.f32`
10918×	`accelerator-lowering-fma.f64`
3634×	`+-lowering-+.f64`
3634×	`+-lowering-+.f32`
2572×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	388	3862
1	1163	3722
2	3433	3489
0	8578	3363

Stop Event

1×	iter limit
1×	node limit

Counts

444 → 444

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))))))
(/ 2 (fabs (- y x)))
(/ 2 (fabs (- y x)))
(/ 2 (fabs (- y x)))
(/ 2 (fabs (- y x)))
(/ 2 (fabs (- y x)))
(/ 2 (fabs (- y x)))
(/ 2 (fabs (- y x)))
(/ 2 (fabs (- y x)))
(/ 2 (fabs (neg (+ x (* -1 y)))))
(/ 2 (fabs (neg (+ x (* -1 y)))))
(/ 2 (fabs (neg (+ x (* -1 y)))))
(/ 2 (fabs (neg (+ x (* -1 y)))))
(/ 2 (fabs (- y x)))
(/ 2 (fabs (- y x)))
(/ 2 (fabs (- y x)))
(/ 2 (fabs (- y x)))
(/ 2 (fabs (- y x)))
(/ 2 (fabs (- y x)))
(/ 2 (fabs (- y x)))
(/ 2 (fabs (- y x)))
(/ 2 (fabs (+ y (* -1 x))))
(/ 2 (fabs (+ y (* -1 x))))
(/ 2 (fabs (+ y (* -1 x))))
(/ 2 (fabs (+ y (* -1 x))))
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
(fabs (neg (+ x (* -1 y))))
(fabs (neg (+ x (* -1 y))))
(fabs (neg (+ x (* -1 y))))
(fabs (neg (+ x (* -1 y))))
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
(fabs (+ y (* -1 x)))
(fabs (+ y (* -1 x)))
(fabs (+ y (* -1 x)))
(fabs (+ y (* -1 x)))
(fabs (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 x)
(+ y (* -1 x))
(+ y (* -1 x))
(+ y (* -1 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 (pow x 2))
(- (pow y 2) (pow x 2))
(- (pow y 2) (pow x 2))
(- (pow y 2) (pow x 2))
(pow y 2)
(* (pow y 2) (+ 1 (* -1 (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (+ 1 (* -1 (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (+ 1 (* -1 (/ (pow x 2) (pow y 2)))))
(pow y 2)
(* (pow y 2) (+ 1 (* -1 (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (+ 1 (* -1 (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (+ 1 (* -1 (/ (pow x 2) (pow y 2)))))
(pow y 2)
(+ (* -1 (pow x 2)) (pow y 2))
(+ (* -1 (pow x 2)) (pow y 2))
(+ (* -1 (pow x 2)) (pow y 2))
(* -1 (pow x 2))
(* (pow x 2) (- (/ (pow y 2) (pow x 2)) 1))
(* (pow x 2) (- (/ (pow y 2) (pow x 2)) 1))
(* (pow x 2) (- (/ (pow y 2) (pow x 2)) 1))
(* -1 (pow x 2))
(* (pow x 2) (- (/ (pow y 2) (pow x 2)) 1))
(* (pow x 2) (- (/ (pow y 2) (pow x 2)) 1))
(* (pow x 2) (- (/ (pow y 2) (pow x 2)) 1))
(* 1/2 (fabs (/ (- (pow y 2) (pow x 2)) (+ x y))))
(+ x (* 1/2 (fabs (/ (- (pow y 2) (pow x 2)) (+ x y)))))
(+ x (* 1/2 (fabs (/ (- (pow y 2) (pow x 2)) (+ x y)))))
(+ x (* 1/2 (fabs (/ (- (pow y 2) (pow x 2)) (+ x y)))))
x
(* x (+ 1 (* 1/2 (/ (fabs (/ (- (pow y 2) (pow x 2)) (+ x y))) x))))
(* x (+ 1 (* 1/2 (/ (fabs (/ (- (pow y 2) (pow x 2)) (+ x y))) x))))
(* x (+ 1 (* 1/2 (/ (fabs (/ (- (pow y 2) (pow x 2)) (+ x y))) x))))
x
(* -1 (* x (- (* -1/2 (/ (fabs (/ (- (pow y 2) (pow x 2)) (- y (* -1 x)))) x)) 1)))
(* -1 (* x (- (* -1/2 (/ (fabs (/ (- (pow y 2) (pow x 2)) (- y (* -1 x)))) x)) 1)))
(* -1 (* x (- (* -1/2 (/ (fabs (/ (- (pow y 2) (pow x 2)) (- y (* -1 x)))) x)) 1)))
(+ x (* 1/2 (fabs (/ (- (pow y 2) (pow x 2)) (+ x y)))))
(+ x (* 1/2 (fabs (/ (- (pow y 2) (pow x 2)) (+ x y)))))
(+ x (* 1/2 (fabs (/ (- (pow y 2) (pow x 2)) (+ x y)))))
(+ x (* 1/2 (fabs (/ (- (pow y 2) (pow x 2)) (+ x y)))))
(+ x (* 1/2 (fabs (/ (- (pow y 2) (pow x 2)) (+ x y)))))
(+ x (* 1/2 (fabs (/ (- (pow y 2) (pow x 2)) (+ x y)))))
(+ x (* 1/2 (fabs (/ (- (pow y 2) (pow x 2)) (+ x y)))))
(+ x (* 1/2 (fabs (/ (- (pow y 2) (pow x 2)) (+ x y)))))
(+ x (* 1/2 (fabs (/ (- (pow y 2) (pow x 2)) (- x (* -1 y))))))
(+ x (* 1/2 (fabs (/ (- (pow y 2) (pow x 2)) (- x (* -1 y))))))
(+ x (* 1/2 (fabs (/ (- (pow y 2) (pow x 2)) (- x (* -1 y))))))
(+ x (* 1/2 (fabs (/ (- (pow y 2) (pow x 2)) (- x (* -1 y))))))
(fabs (/ (- (pow y 2) (pow x 2)) (+ x y)))
(fabs (/ (- (pow y 2) (pow x 2)) (+ x y)))
(fabs (/ (- (pow y 2) (pow x 2)) (+ x y)))
(fabs (/ (- (pow y 2) (pow x 2)) (+ x y)))
(fabs (/ (- (pow y 2) (pow x 2)) (+ x y)))
(fabs (/ (- (pow y 2) (pow x 2)) (+ x y)))
(fabs (/ (- (pow y 2) (pow x 2)) (+ x y)))
(fabs (/ (- (pow y 2) (pow x 2)) (+ x y)))
(fabs (/ (- (pow y 2) (pow x 2)) (- x (* -1 y))))
(fabs (/ (- (pow y 2) (pow x 2)) (- x (* -1 y))))
(fabs (/ (- (pow y 2) (pow x 2)) (- x (* -1 y))))
(fabs (/ (- (pow y 2) (pow x 2)) (- x (* -1 y))))
(fabs (/ (- (pow y 2) (pow x 2)) (+ x y)))
(fabs (/ (- (pow y 2) (pow x 2)) (+ x y)))
(fabs (/ (- (pow y 2) (pow x 2)) (+ x y)))
(fabs (/ (- (pow y 2) (pow x 2)) (+ x y)))
(fabs (/ (- (pow y 2) (pow x 2)) (+ x y)))
(fabs (/ (- (pow y 2) (pow x 2)) (+ x y)))
(fabs (/ (- (pow y 2) (pow x 2)) (+ x y)))
(fabs (/ (- (pow y 2) (pow x 2)) (+ x y)))
(fabs (/ (- (pow y 2) (pow x 2)) (- y (* -1 x))))
(fabs (/ (- (pow y 2) (pow x 2)) (- y (* -1 x))))
(fabs (/ (- (pow y 2) (pow x 2)) (- y (* -1 x))))
(fabs (/ (- (pow y 2) (pow x 2)) (- y (* -1 x))))
y
(+ y (* -1 x))
(+ y (* -1 x))
(+ y (* -1 x))
(* -1 x)
(* x (- (/ y x) 1))
(* x (- (/ y x) 1))
(* x (- (/ y x) 1))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1 x)
(- 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)))
(/ -1 x)
(- (* 2 (/ y (pow x 2))) (/ 1 x))
(- (* y (+ (* -1 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (/ 1 x))
(- (* y (+ (* y (- (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (* 2 (/ 1 (pow x 2))))) (/ 1 x))
(/ 1 y)
(/ (- (+ 1 (* -1 (/ x y))) (/ x y)) y)
(/ (- (+ 1 (+ (* -1 (/ x y)) (* -1 (/ (+ (* x (- (* -1 x) x)) (pow x 2)) (pow y 2))))) (/ x y)) y)
(/ (- (+ 1 (+ (* -1 (/ x y)) (* -1 (/ (+ (* -1 (* x (+ (* x (- (* -1 x) x)) (pow x 2)))) (* (pow x 2) (- (* -1 x) x))) (pow y 3))))) (+ (/ x y) (+ (/ (* x (- (* -1 x) x)) (pow y 2)) (/ (pow x 2) (pow y 2))))) y)
(/ 1 y)
(* -1 (/ (- (/ x y) (+ 1 (* -1 (/ x y)))) y))
(* -1 (/ (- (* -1 (/ (+ (* -1 (- x (* -1 x))) (* -1 (/ (+ (* -1 (* x (- x (* -1 x)))) (pow x 2)) y))) y)) 1) y))
(* -1 (/ (- (* -1 (/ (+ (* -1 (- x (* -1 x))) (* -1 (/ (+ (* -1 (* x (- x (* -1 x)))) (+ (* -1 (/ (+ (* x (+ (* -1 (* x (- x (* -1 x)))) (pow x 2))) (* (pow x 2) (- x (* -1 x)))) y)) (pow x 2))) y))) y)) 1) y))
(/ 1 y)
(+ (* -2 (/ x (pow y 2))) (/ 1 y))
(+ (* x (- (/ x (pow y 3)) (* 2 (/ 1 (pow y 2))))) (/ 1 y))
(+ (* x (- (* x (+ (/ 1 (pow y 3)) (/ x (pow y 4)))) (* 2 (/ 1 (pow y 2))))) (/ 1 y))
(/ -1 x)
(/ (- (/ y x) (+ 1 (* -1 (/ y x)))) x)
(/ (- (+ (* -1 (/ (+ (* -1 (pow y 2)) (* y (- y (* -1 y)))) (pow x 2))) (/ y x)) (+ 1 (* -1 (/ y x)))) x)
(/ (- (+ (* -1 (/ (+ (* -1 (* y (+ (* -1 (pow y 2)) (* y (- y (* -1 y)))))) (* (pow y 2) (- y (* -1 y)))) (pow x 3))) (/ y x)) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ (* y (- y (* -1 y))) (pow x 2)))))) x)
(/ -1 x)
(* -1 (/ (+ 1 (* -1 (/ (- y (* -1 y)) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (+ y (+ (* -1 (/ (* y (- y (* -1 y))) x)) (/ (pow y 2) x))) (* -1 y)) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (+ y (* -1 (/ (- (+ (/ (* y (+ (* -1 (* y (- y (* -1 y)))) (pow y 2))) x) (/ (* (pow y 2) (- y (* -1 y))) x)) (+ (* -1 (* y (- y (* -1 y)))) (pow y 2))) x))) (* -1 y)) x))) x))
(pow y 2)
(+ (* x y) (pow y 2))
(+ (* x (+ x y)) (pow y 2))
(+ (* x (+ x y)) (pow y 2))
(pow x 2)
(* (pow x 2) (+ 1 (/ y x)))
(* (pow x 2) (+ 1 (+ (/ y x) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (/ y x) (/ (pow y 2) (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (/ y x)))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 y) (* -1 (/ (pow y 2) x))) x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 y) (* -1 (/ (pow y 2) x))) x))))
(pow x 2)
(+ (* x y) (pow x 2))
(+ (* y (+ x y)) (pow x 2))
(+ (* y (+ x y)) (pow x 2))
(pow y 2)
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(* (pow y 2) (+ 1 (+ (/ x y) (/ (pow x 2) (pow y 2)))))
(pow y 2)
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(* (pow y 2) (+ 1 (* -1 (/ (+ (* -1 x) (* -1 (/ (pow x 2) y))) y))))
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -1 x) (* -1 (/ (pow x 2) y))) y))))
(/ 1 (pow y 2))
(+ (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))
(+ (* x (- (/ (pow x 2) (pow y 5)) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))
(+ (* x (- (* (pow x 2) (+ (* -1 (/ x (pow y 6))) (/ 1 (pow y 5)))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))
(/ 1 (pow x 2))
(/ (+ 1 (* -1 (/ y x))) (pow x 2))
(/ (- (+ 1 (* -1 (/ (+ (* -1 (pow y 2)) (pow y 2)) (pow x 2)))) (/ y x)) (pow x 2))
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* y (+ (* -1 (pow y 2)) (pow y 2)))) (* -1 (pow y 3))) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (/ y x) (/ (pow y 2) (pow x 2))))) (pow x 2))
(/ 1 (pow x 2))
(/ (+ 1 (* -1 (/ y x))) (pow x 2))
(/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow y 2) x)) (/ (pow y 2) x)) (* -1 y)) x))) (pow x 2))
(/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (/ (* y (+ (* -1 (pow y 2)) (pow y 2))) x) (/ (pow y 3) x)) (+ (* -1 (pow y 2)) (pow y 2))) x)) (* -1 y)) x))) (pow x 2))
(/ 1 (pow x 2))
(+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))
(+ (* y (- (/ (pow y 2) (pow x 5)) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))
(+ (* y (- (* (pow y 2) (+ (* -1 (/ y (pow x 6))) (/ 1 (pow x 5)))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))
(/ 1 (pow y 2))
(/ (+ 1 (* -1 (/ x y))) (pow y 2))
(/ (- (+ 1 (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) (pow y 2)))) (/ x y)) (pow y 2))
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (pow x 2)))) (* -1 (pow x 3))) (pow y 3)))) (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (/ x y) (/ (pow x 2) (pow y 2))))) (pow y 2))
(/ 1 (pow y 2))
(/ (+ 1 (* -1 (/ x y))) (pow y 2))
(/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow x 2) y)) (/ (pow x 2) y)) (* -1 x)) y))) (pow y 2))
(/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (/ (* x (+ (* -1 (pow x 2)) (pow x 2))) y) (/ (pow x 3) y)) (+ (* -1 (pow x 2)) (pow x 2))) y)) (* -1 x)) y))) (pow y 2))
x
x
x
x
x
x
x
x
x
x
x
x
(* 1/2 (fabs (/ (- (pow y 2) (pow x 2)) (+ x y))))
(* 1/2 (fabs (/ (- (pow y 2) (pow x 2)) (+ x y))))
(* 1/2 (fabs (/ (- (pow y 2) (pow x 2)) (+ x y))))
(* 1/2 (fabs (/ (- (pow y 2) (pow x 2)) (+ x y))))
(* 1/2 (fabs (/ (- (pow y 2) (pow x 2)) (+ x y))))
(* 1/2 (fabs (/ (- (pow y 2) (pow x 2)) (+ x y))))
(* 1/2 (fabs (/ (- (pow y 2) (pow x 2)) (+ x y))))
(* 1/2 (fabs (/ (- (pow y 2) (pow x 2)) (+ x y))))
(* 1/2 (fabs (/ (- (pow y 2) (pow x 2)) (- x (* -1 y)))))
(* 1/2 (fabs (/ (- (pow y 2) (pow x 2)) (- x (* -1 y)))))
(* 1/2 (fabs (/ (- (pow y 2) (pow x 2)) (- x (* -1 y)))))
(* 1/2 (fabs (/ (- (pow y 2) (pow x 2)) (- x (* -1 y)))))
(* 1/2 (fabs (/ (- (pow y 2) (pow x 2)) (+ x y))))
(* 1/2 (fabs (/ (- (pow y 2) (pow x 2)) (+ x y))))
(* 1/2 (fabs (/ (- (pow y 2) (pow x 2)) (+ x y))))
(* 1/2 (fabs (/ (- (pow y 2) (pow x 2)) (+ x y))))
(* 1/2 (fabs (/ (- (pow y 2) (pow x 2)) (+ x y))))
(* 1/2 (fabs (/ (- (pow y 2) (pow x 2)) (+ x y))))
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(+ x (* 1/2 (fabs (* -1 (+ x (* -1 y))))))
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(* 1/2 (fabs (- y x)))
(* 1/2 (fabs (- y x)))
(* 1/2 (fabs (- y x)))
(* 1/2 (fabs (- y x)))
(* 1/2 (fabs (- y x)))
(* 1/2 (fabs (- y 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)))
(* 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 (* -1 (+ x (* -1 y)))))
(* 1/2 (fabs (* -1 (+ x (* -1 y)))))
(* 1/2 (fabs (* -1 (+ x (* -1 y)))))
(* 1/2 (fabs (* -1 (+ x (* -1 y)))))
(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)))
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(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
(fabs (* -1 (+ x (* -1 y))))
(fabs (* -1 (+ x (* -1 y))))
(fabs (* -1 (+ x (* -1 y))))
(fabs (* -1 (+ x (* -1 y))))

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

eval444.0ms (1.8%)

Compiler: Compiled 69603 to 6120 computations (91.2% saved)

prune506.0ms (2.1%)

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	2498	8	2506
Fresh	2	2	4
Picked	3	2	5
Done	0	1	1
Total	2503	13	2516

Accuracy

100.0%

Counts

2516 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.2%	(fma.f64 (pow.f64 (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) x)
	28.0%	(/.f64 (-.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 x x)) (-.f64 (/.f64 (fabs.f64 x) #s(literal 2 binary64)) x))
▶	8.2%	(/.f64 (-.f64 (*.f64 x x) #s(literal 0 binary64)) x)
	4.5%	(/.f64 (.f64 x (.f64 x x)) (*.f64 x x))
▶	48.9%	(+.f64 (/.f64 (fabs.f64 x) #s(literal 2 binary64)) x)
	29.5%	(+.f64 x (/.f64 (/.f64 (*.f64 x x) (fabs.f64 x)) #s(literal 2 binary64)))
▶	29.4%	(+.f64 x (/.f64 (.f64 (.f64 x x) (fabs.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))
✓	99.9%	(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
	29.0%	(+.f64 x (/.f64 (fabs.f64 (.f64 (+.f64 (.f64 x x) (.f64 y (+.f64 x y))) (.f64 (-.f64 y x) (/.f64 #s(literal 1 binary64) (*.f64 x x))))) #s(literal 2 binary64)))
	59.9%	(+.f64 x (/.f64 (fabs.f64 y) #s(literal 2 binary64)))
✓	99.7%	(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 y x)))))
▶	6.7%	(*.f64 #s(literal 1/2 binary64) (fabs.f64 x))
✓	10.9%	x

Compiler

Compiled 289 to 180 computations (37.7% saved)

localize689.0ms (2.8%)

Algorithm

1×	egg-herbie

Localize:

Found 36 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	x
✓	cost-diff	384	(.f64 (.f64 x x) (fabs.f64 (/.f64 #s(literal 1 binary64) x)))
✓	cost-diff	384	(/.f64 (.f64 (.f64 x x) (fabs.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))
✓	cost-diff	384	(+.f64 x (/.f64 (.f64 (.f64 x x) (fabs.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))
✓	cost-diff	0	x
✓	cost-diff	0	(fabs.f64 x)
✓	cost-diff	0	(/.f64 (fabs.f64 x) #s(literal 2 binary64))
✓	cost-diff	0	(+.f64 (/.f64 (fabs.f64 x) #s(literal 2 binary64)) x)
✓	cost-diff	0	x
✓	cost-diff	0	(fabs.f64 x)
✓	cost-diff	0	#s(literal 1/2 binary64)
✓	cost-diff	0	(*.f64 #s(literal 1/2 binary64) (fabs.f64 x))
✓	cost-diff	0	x
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	128	(-.f64 (*.f64 x x) #s(literal 0 binary64))
✓	cost-diff	384	(/.f64 (-.f64 (*.f64 x x) #s(literal 0 binary64)) x)
✓	cost-diff	0	(fabs.f64 (-.f64 y x))
✓	cost-diff	0	(/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))
✓	cost-diff	64	(pow.f64 (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
✓	cost-diff	25984	(fma.f64 (pow.f64 (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) x)
✓	accuracy	100.0%	(+.f64 x (/.f64 (.f64 (.f64 x x) (fabs.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(fabs.f64 (/.f64 #s(literal 1 binary64) x))
✓	accuracy	67.5%	(.f64 (.f64 x x) (fabs.f64 (/.f64 #s(literal 1 binary64) x)))
✓	accuracy	100.0%	(/.f64 (fabs.f64 x) #s(literal 2 binary64))
✓	accuracy	100.0%	(+.f64 (/.f64 (fabs.f64 x) #s(literal 2 binary64)) x)
✓	accuracy	100.0%	(fabs.f64 x)
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) (fabs.f64 x))
✓	accuracy	100.0%	(fabs.f64 x)
✓	accuracy	100.0%	(-.f64 (*.f64 x x) #s(literal 0 binary64))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	67.7%	(/.f64 (-.f64 (*.f64 x x) #s(literal 0 binary64)) x)
✓	accuracy	100.0%	(-.f64 y x)
✓	accuracy	100.0%	(fabs.f64 (-.f64 y x))
✓	accuracy	100.0%	(pow.f64 (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
✓	accuracy	99.4%	(fma.f64 (pow.f64 (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) x)

Rules

5074×	`accelerator-lowering-fma.f32`
5074×	`accelerator-lowering-fma.f64`
4164×	`-lowering-.f32`
4164×	`-lowering-.f64`
2218×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	78
1	48	76
2	88	76
3	135	76
4	329	76
5	1345	76
6	3945	76
7	7073	76
0	8088	74

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(+ (* (pow (/ (fabs (- y x)) 2) 1/2) (pow (/ (fabs (- y x)) 2) 1/2)) x)
(pow (/ (fabs (- y x)) 2) 1/2)
(/ (fabs (- y x)) 2)
(fabs (- y x))
(- y x)
y
x
2
1/2
(/ (- (* x x) 0) x)
(- (* x x) 0)
(* x x)
0
(* 1/2 (fabs x))
(fabs x)
(+ (/ (fabs x) 2) x)
(/ (fabs x) 2)
(+ x (/ (* (* x x) (fabs (/ 1 x))) 2))
(/ (* (* x x) (fabs (/ 1 x))) 2)
(* (* x x) (fabs (/ 1 x)))
(fabs (/ 1 x))
(/ 1 x)
1

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

Results

153.0ms	207×	0	valid
204.0ms	49×	5	exit

Compiler

Compiled 128 to 24 computations (81.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 304.0ms

ival-pow: 126.0ms (41.4% of total)

backward-pass: 82.0ms (27% of total)

ival-div: 51.0ms (16.8% of total)

ival-mult: 15.0ms (4.9% of total)

<compiled-spec>: 9.0ms (3% of total)

ival-fabs: 7.0ms (2.3% of total)

ival-add: 7.0ms (2.3% of total)

ival-sub: 6.0ms (2% of total)

const: 1.0ms (0.3% of total)

series27.0ms (0.1%)

Counts

18 → 264

Calls

Call 1

Inputs
#<alt (+ (* (pow (/ (fabs (- y x)) 2) 1/2) (pow (/ (fabs (- y x)) 2) 1/2)) x)>
#<alt (pow (/ (fabs (- y x)) 2) 1/2)>
#<alt (fabs (- y x))>
#<alt (- y x)>
#<alt (/ (- (* x x) 0) x)>
#<alt (* x x)>
#<alt (- (* x x) 0)>
#<alt (fabs x)>
#<alt (* 1/2 (fabs x))>
#<alt (+ (/ (fabs x) 2) x)>
#<alt (/ (fabs x) 2)>
#<alt (* (* x x) (fabs (/ 1 x)))>
#<alt (fabs (/ 1 x))>
#<alt (+ x (/ (* (* x x) (fabs (/ 1 x))) 2))>
#<alt (/ (fabs (- y x)) 2)>
#<alt x>
#<alt 1/2>
#<alt (/ (* (* x x) (fabs (/ 1 x))) 2)>

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

Calls

66 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(+ (* (pow (/ (fabs (- y x)) 2) 1/2) (pow (/ (fabs (- y x)) 2) 1/2)) x)
1.0ms	y	@	0	(+ (* (pow (/ (fabs (- y x)) 2) 1/2) (pow (/ (fabs (- y x)) 2) 1/2)) x)
0.0ms	x	@	-inf	(* (* x x) (fabs (/ 1 x)))
0.0ms	x	@	inf	(+ (* (pow (/ (fabs (- y x)) 2) 1/2) (pow (/ (fabs (- y x)) 2) 1/2)) x)
0.0ms	y	@	-inf	(+ (* (pow (/ (fabs (- y x)) 2) 1/2) (pow (/ (fabs (- y x)) 2) 1/2)) x)

rewrite425.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

3600×	`accelerator-lowering-fma.f32`
3600×	`accelerator-lowering-fma.f64`
3488×	`/-lowering-/.f32`
3488×	`/-lowering-/.f64`
3276×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	85
1	150	75
2	1305	61
0	9433	58

Stop Event

1×	iter limit
1×	node limit

Counts

18 → 1059

Calls

Call 1

Inputs
(+ (* (pow (/ (fabs (- y x)) 2) 1/2) (pow (/ (fabs (- y x)) 2) 1/2)) x)
(pow (/ (fabs (- y x)) 2) 1/2)
(fabs (- y x))
(- y x)
(/ (- (* x x) 0) x)
(* x x)
(- (* x x) 0)
(fabs x)
(* 1/2 (fabs x))
(+ (/ (fabs x) 2) x)
(/ (fabs x) 2)
(* (* x x) (fabs (/ 1 x)))
(fabs (/ 1 x))
(+ x (/ (* (* x x) (fabs (/ 1 x))) 2))
(/ (fabs (- y x)) 2)
x
1/2
(/ (* (* x x) (fabs (/ 1 x))) 2)

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

simplify383.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

3536×	`-lowering-.f32`
3536×	`-lowering-.f64`
3112×	`accelerator-lowering-fma.f32`
3112×	`accelerator-lowering-fma.f64`
1872×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	77	1268
1	204	1130
2	471	1130
3	1319	1130
4	3400	1130
5	5895	1130
6	7623	1130
0	8117	1091

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 264

Calls

Call 1

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

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

eval489.0ms (2%)

Compiler: Compiled 54173 to 5168 computations (90.5% saved)

prune830.0ms (3.4%)

Pruning

44 alts after pruning (41 fresh and 3 done)

	Pruned	Kept	Total
New	2865	39	2904
Fresh	3	2	5
Picked	5	0	5
Done	0	3	3
Total	2873	44	2917

Accuracy

100.0%

Counts

2917 → 44

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.3%	(fma.f64 (sqrt.f64 (fabs.f64 (-.f64 y x))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))) x)
	5.9%	(/.f64 (/.f64 (/.f64 (.f64 x (.f64 x (*.f64 x x))) x) x) x)
	1.4%	(/.f64 (/.f64 (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 0 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) x)
	1.7%	(/.f64 (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal 0 binary64)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) x)
	2.3%	(/.f64 (/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x (.f64 x x)))) x)
	16.9%	(/.f64 (-.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 x x)) (-.f64 (/.f64 x #s(literal 2 binary64)) x))
	4.3%	(/.f64 (-.f64 (.f64 x x) #s(literal 0 binary64)) (/.f64 (-.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal 0 binary64))) (*.f64 x x)))
▶	2.2%	(/.f64 (-.f64 (.f64 x x) #s(literal 0 binary64)) (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) x) (.f64 x (.f64 x (.f64 x x)))))
	2.1%	(/.f64 (-.f64 (.f64 x x) #s(literal 0 binary64)) (/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x (.f64 x (.f64 x x))) x)))
	2.9%	(/.f64 (-.f64 (.f64 x x) #s(literal 0 binary64)) (/.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x x))))
	4.2%	(/.f64 (-.f64 (.f64 x x) #s(literal 0 binary64)) (/.f64 (.f64 x (.f64 x x)) (.f64 x x)))
	28.1%	(/.f64 (+.f64 (/.f64 x x) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) x))
	18.5%	(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))) (.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) x)))
	5.3%	(/.f64 (+.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) x)) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x x)))
	4.7%	(/.f64 (+.f64 (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) x) #s(literal 1 binary64)) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 2 binary64)) x)) (.f64 (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 2 binary64)) #s(literal 1 binary64)))
	11.2%	(/.f64 (+.f64 (.f64 x (.f64 (.f64 x x) #s(literal 2 binary64))) (.f64 x (.f64 x x))) (.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 2 binary64))))
	6.9%	(/.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (.f64 x (.f64 x (*.f64 x x))))
▶	8.9%	(/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (*.f64 x x))
	6.9%	(/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) x) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 2 binary64)))
	2.3%	(/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) x) (.f64 x (.f64 x (*.f64 x x))))
▶	4.5%	(/.f64 (.f64 x (.f64 x x)) (*.f64 x x))
	8.2%	(/.f64 (*.f64 x x) x)
▶	31.0%	(/.f64 x #s(literal 2 binary64))
	30.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
	8.1%	(+.f64 (/.f64 (/.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x (.f64 x (.f64 x x)))) (*.f64 x x)) #s(literal 2 binary64)) x)
	5.0%	(+.f64 (/.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) x) (.f64 x (.f64 x (*.f64 x x)))) #s(literal 2 binary64)) x)
	11.4%	(+.f64 (/.f64 (/.f64 (.f64 x (.f64 x x)) (*.f64 x x)) #s(literal 2 binary64)) x)
	18.9%	(+.f64 (/.f64 (/.f64 (*.f64 x x) x) #s(literal 2 binary64)) x)
	18.9%	(+.f64 (/.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x x)) #s(literal 2 binary64)) x)
	28.1%	(+.f64 (/.f64 x #s(literal 2 binary64)) x)
	28.1%	(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x)
	4.8%	(+.f64 x (/.f64 (.f64 (.f64 x x) (.f64 (/.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x (*.f64 x x))))) #s(literal 2 binary64)))
✓	99.9%	(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
	59.9%	(+.f64 x (/.f64 (fabs.f64 y) #s(literal 2 binary64)))
✓	99.7%	(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 y x)))))
	18.9%	(.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (.f64 x x))
	19.0%	(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (/.f64 #s(literal 2 binary64) x)))
	16.8%	(.f64 (-.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 x #s(literal 2 binary64)) x)))
	30.9%	(.f64 x (.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
	6.7%	(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x (.f64 x (.f64 x x))) x)))
	8.2%	(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x x))))
	19.0%	(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x x) x))
	7.2%	(fabs.f64 x)
✓	10.9%	x

Compiler

Compiled 1537 to 742 computations (51.7% saved)

localize518.0ms (2.1%)

Algorithm

1×	egg-herbie

Localize:

Found 35 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	128	(-.f64 (*.f64 x x) #s(literal 0 binary64))
✓	cost-diff	1024	(/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) x) (.f64 x (.f64 x (*.f64 x x))))
✓	cost-diff	1408	(/.f64 (-.f64 (.f64 x x) #s(literal 0 binary64)) (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) x) (.f64 x (.f64 x (.f64 x x)))))
✓	cost-diff	0	(.f64 x (.f64 x (*.f64 x x)))
✓	cost-diff	128	(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
✓	cost-diff	384	(.f64 (.f64 x (.f64 x (.f64 x x))) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
✓	cost-diff	896	(/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (*.f64 x x))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	x
✓	cost-diff	0	(.f64 x (.f64 x x))
✓	cost-diff	512	(/.f64 (.f64 x (.f64 x x)) (*.f64 x x))
✓	cost-diff	0	#s(literal 2 binary64)
✓	cost-diff	0	x
✓	cost-diff	0	(/.f64 x #s(literal 2 binary64))
✓	cost-diff	0	(sqrt.f64 (fabs.f64 (-.f64 y x)))
✓	cost-diff	128	(*.f64 #s(literal 1/2 binary64) (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
✓	cost-diff	128	(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))))
✓	cost-diff	6400	(fma.f64 (sqrt.f64 (fabs.f64 (-.f64 y x))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))) x)
✓	accuracy	99.9%	(.f64 x (.f64 x (*.f64 x x)))
✓	accuracy	99.8%	(.f64 x (.f64 x x))
✓	accuracy	58.4%	(/.f64 (-.f64 (.f64 x x) #s(literal 0 binary64)) (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) x) (.f64 x (.f64 x (.f64 x x)))))
✓	accuracy	22.4%	(/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) x) (.f64 x (.f64 x (*.f64 x x))))
✓	accuracy	99.9%	(.f64 x (.f64 x (*.f64 x x)))
✓	accuracy	99.8%	(.f64 x (.f64 x x))
✓	accuracy	93.0%	(.f64 (.f64 x (.f64 x (.f64 x x))) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
✓	accuracy	36.7%	(/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (*.f64 x x))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.8%	(.f64 x (.f64 x x))
✓	accuracy	36.7%	(/.f64 (.f64 x (.f64 x x)) (*.f64 x x))
✓	accuracy	100.0%	(/.f64 x #s(literal 2 binary64))
✓	accuracy	100.0%	(fabs.f64 (-.f64 y x))
✓	accuracy	100.0%	(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))))
✓	accuracy	100.0%	(sqrt.f64 (fabs.f64 (-.f64 y x)))
✓	accuracy	99.3%	(fma.f64 (sqrt.f64 (fabs.f64 (-.f64 y x))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))) x)

Rules

6176×	`-lowering-.f32`
6176×	`-lowering-.f64`
3094×	`/-lowering-/.f32`
3094×	`/-lowering-/.f64`
3044×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	107
1	78	97
2	274	87
3	883	87
4	2784	87
5	4712	87
6	7113	87
0	8144	86

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(+ (* (sqrt (fabs (- y x))) (sqrt (* 1/2 (/ (fabs (- y x)) 2)))) x)
(sqrt (fabs (- y x)))
(fabs (- y x))
(- y x)
y
x
(sqrt (* 1/2 (/ (fabs (- y x)) 2)))
(* 1/2 (/ (fabs (- y x)) 2))
1/2
(/ (fabs (- y x)) 2)
2
(/ x 2)
(/ (* x (* x x)) (* x x))
(* x (* x x))
(* x x)
(/ (* (* x (* x (* x x))) (/ (/ 1 x) 2)) (* x x))
(* (* x (* x (* x x))) (/ (/ 1 x) 2))
(* x (* x (* x x)))
(/ (/ 1 x) 2)
(/ 1 x)
1
(/ (- (* x x) 0) (/ (* (* x (* x (* x x))) x) (* x (* x (* x x)))))
(- (* x x) 0)
0
(/ (* (* x (* x (* x x))) x) (* x (* x (* x x))))
(* (* x (* x (* x x))) x)

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

Results

91.0ms	233×	0	valid
7.0ms	8×	2	valid
9.0ms	8×	3	valid
4.0ms	7×	1	valid

Compiler

Compiled 208 to 27 computations (87% saved)

Precisions

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

ival-mult: 23.0ms (31.2% of total)

ival-div: 18.0ms (24.4% of total)

<compiled-spec>: 15.0ms (20.3% of total)

ival-sub: 5.0ms (6.8% of total)

ival-sqrt: 4.0ms (5.4% of total)

backward-pass: 3.0ms (4.1% of total)

ival-add: 3.0ms (4.1% of total)

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

const: 1.0ms (1.4% of total)

series24.0ms (0.1%)

Counts

18 → 264

Calls

Call 1

Inputs
#<alt (+ (* (sqrt (fabs (- y x))) (sqrt (* 1/2 (/ (fabs (- y x)) 2)))) x)>
#<alt (sqrt (fabs (- y x)))>
#<alt (sqrt (* 1/2 (/ (fabs (- y x)) 2)))>
#<alt (fabs (- y x))>
#<alt (/ x 2)>
#<alt (/ (* x (* x x)) (* x x))>
#<alt (* x (* x x))>
#<alt (* x x)>
#<alt (/ (* (* x (* x (* x x))) (/ (/ 1 x) 2)) (* x x))>
#<alt (* (* x (* x (* x x))) (/ (/ 1 x) 2))>
#<alt (* x (* x (* x x)))>
#<alt (/ (* (* x (* x (* x x))) x) (* x (* x (* x x))))>
#<alt (/ (- (* x x) 0) (/ (* (* x (* x (* x x))) x) (* x (* x (* x x)))))>
#<alt (* 1/2 (/ (fabs (- y x)) 2))>
#<alt x>
#<alt 2>
#<alt (/ (/ 1 x) 2)>
#<alt (- (* x x) 0)>

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

Calls

66 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(/ (* (* x (* x (* x x))) x) (* x (* x (* x x))))
0.0ms	y	@	inf	(sqrt (* 1/2 (/ (fabs (- y x)) 2)))
0.0ms	y	@	-inf	(sqrt (* 1/2 (/ (fabs (- y x)) 2)))
0.0ms	x	@	inf	(/ x 2)
0.0ms	x	@	inf	(sqrt (* 1/2 (/ (fabs (- y x)) 2)))

rewrite731.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

12378×	`accelerator-lowering-fma.f32`
12378×	`accelerator-lowering-fma.f64`
2996×	`-lowering-.f32`
2996×	`-lowering-.f64`
2618×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	107
1	173	67
2	1402	61
3	7477	61
0	8211	60

Stop Event

1×	iter limit
1×	node limit

Counts

18 → 2944

Calls

Call 1

Inputs
(+ (* (sqrt (fabs (- y x))) (sqrt (* 1/2 (/ (fabs (- y x)) 2)))) x)
(sqrt (fabs (- y x)))
(sqrt (* 1/2 (/ (fabs (- y x)) 2)))
(fabs (- y x))
(/ x 2)
(/ (* x (* x x)) (* x x))
(* x (* x x))
(* x x)
(/ (* (* x (* x (* x x))) (/ (/ 1 x) 2)) (* x x))
(* (* x (* x (* x x))) (/ (/ 1 x) 2))
(* x (* x (* x x)))
(/ (* (* x (* x (* x x))) x) (* x (* x (* x x))))
(/ (- (* x x) 0) (/ (* (* x (* x (* x x))) x) (* x (* x (* x x)))))
(* 1/2 (/ (fabs (- y x)) 2))
x
2
(/ (/ 1 x) 2)
(- (* x x) 0)

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

simplify429.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

3376×	`accelerator-lowering-fma.f32`
3376×	`accelerator-lowering-fma.f64`
1902×	`associate-*r/`
1740×	`-lowering-.f32`
1740×	`-lowering-.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	1064
1	100	1064
2	161	1064
3	387	1064
4	1055	1064
5	2063	1064
6	2865	1064
7	3229	1064
8	3444	1064
9	3503	1064
10	3524	1064
11	4350	1064
12	4546	1064
13	5090	1064
14	5372	1064
15	5540	1064
16	5608	1064
17	5616	1064
18	5624	1064
19	5624	1064
20	5624	1064
21	7220	1064
0	8064	1043

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 264

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

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

eval2.3s (9.3%)

Compiler: Compiled 350903 to 22661 computations (93.5% saved)

prune12.6s (51.7%)

Pruning

68 alts after pruning (63 fresh and 5 done)

	Pruned	Kept	Total
New	11517	39	11556
Fresh	12	24	36
Picked	3	2	5
Done	0	3	3
Total	11532	68	11600

Accuracy

100.0%

Counts

11600 → 68

Alt Table

Click to see full alt table

Status	Accuracy	Program
	46.4%	(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 2 binary64)))
	8.2%	(/.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) x) (/.f64 #s(literal -1 binary64) (.f64 x (.f64 x (.f64 x x))))) #s(literal 2 binary64))
	5.9%	(/.f64 (/.f64 (/.f64 (.f64 x (.f64 x (*.f64 x x))) x) x) x)
	8.1%	(/.f64 (/.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 2 binary64)) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (.f64 x x)))
	8.9%	(/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) x) x)) (.f64 x x))
	1.7%	(/.f64 (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal 0 binary64)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) x)
	1.6%	(/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 x x))
	2.3%	(/.f64 (/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x (.f64 x x)))) x)
	2.1%	(/.f64 (/.f64 (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x (.f64 x x)))) (.f64 x x))
	3.3%	(/.f64 (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 x x)) (.f64 x x))
	8.2%	(/.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (*.f64 x x))) #s(literal 2 binary64))
	18.9%	(/.f64 (/.f64 x (/.f64 #s(literal 2 binary64) x)) x)
	10.5%	(/.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) x)))) (*.f64 x x))
	10.5%	(/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 2 binary64) (.f64 x (*.f64 x x))))
	18.9%	(/.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
	16.9%	(/.f64 (-.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 x x)) (-.f64 (/.f64 x #s(literal 2 binary64)) x))
	4.3%	(/.f64 (-.f64 (.f64 x x) #s(literal 0 binary64)) (/.f64 (-.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal 0 binary64))) (*.f64 x x)))
	1.8%	(/.f64 (-.f64 (.f64 x x) #s(literal 0 binary64)) (/.f64 (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x (.f64 x x))))) x) (.f64 x (.f64 x (*.f64 x x)))))
	1.4%	(/.f64 (-.f64 (.f64 x x) #s(literal 0 binary64)) (/.f64 (.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) x) (.f64 x (.f64 x (*.f64 x x)))))
	4.2%	(/.f64 (-.f64 (.f64 x x) #s(literal 0 binary64)) (/.f64 (.f64 x (.f64 x x)) (.f64 x x)))
	28.1%	(/.f64 (+.f64 (/.f64 x x) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) x))
	18.5%	(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))) (.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) x)))
	4.7%	(/.f64 (+.f64 (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) x) #s(literal 1 binary64)) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 2 binary64)) x)) (.f64 (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 2 binary64)) #s(literal 1 binary64)))
	11.2%	(/.f64 (+.f64 (.f64 x (.f64 (.f64 x x) #s(literal 2 binary64))) (.f64 x (.f64 x x))) (.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 2 binary64))))
	6.9%	(/.f64 (.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) x) x) (.f64 x (.f64 x (.f64 x (.f64 x x))))) #s(literal 2 binary64))
	8.9%	(/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) x) (.f64 x (.f64 x (.f64 x x)))) (*.f64 x x))
	5.2%	(/.f64 (.f64 (.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) x) x) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (*.f64 x x))
	8.9%	(/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (*.f64 x x))
	8.9%	(/.f64 (.f64 (.f64 x (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x (.f64 x (.f64 x x))))) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (*.f64 x x))
	6.9%	(/.f64 (.f64 (.f64 x (.f64 (.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) x) x) (.f64 x (.f64 x (.f64 x (.f64 x x))))) (.f64 x x))) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (*.f64 x x))
	4.5%	(/.f64 (.f64 (.f64 x (.f64 x (.f64 (.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) x) x) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) x) x)) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))))) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (*.f64 x x))
	5.0%	(/.f64 (.f64 (.f64 x (.f64 x (.f64 (.f64 (/.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) x) (/.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) x)) (.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x (.f64 x x)))) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x (.f64 x x)))))))) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (*.f64 x x))
	8.9%	(/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x x))) #s(literal 2 binary64))) (*.f64 x x))
	8.9%	(/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) x)))
	8.9%	(/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
	8.2%	(/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x (*.f64 x x))))
	6.8%	(/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x)))) (.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))))
	1.4%	(/.f64 (.f64 x (.f64 x x)) (/.f64 (-.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x (.f64 x x)))) #s(literal 0 binary64))) (.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x (.f64 x x))))))
	1.9%	(/.f64 (.f64 x (.f64 x x)) (/.f64 (-.f64 (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal 0 binary64)) (.f64 x (.f64 x (.f64 x (.f64 x x))))))
	2.9%	(/.f64 (.f64 x (.f64 x x)) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x (.f64 x x)))) (-.f64 #s(literal 0 binary64) (.f64 x x))))
	1.6%	(/.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))
	2.2%	(/.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x (.f64 x x)))))
	2.4%	(/.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x x))))
	2.2%	(/.f64 (.f64 x (.f64 x x)) (/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (.f64 x (.f64 x (.f64 x x)))))
	10.5%	(/.f64 (.f64 x (.f64 x x)) (/.f64 x (/.f64 #s(literal 1/2 binary64) x)))
✓	4.5%	(/.f64 (.f64 x (.f64 x x)) (*.f64 x x))
	8.2%	(/.f64 (*.f64 x x) x)
✓	31.0%	(/.f64 x #s(literal 2 binary64))
	30.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
	8.1%	(+.f64 (/.f64 (/.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x (.f64 x (.f64 x x)))) (*.f64 x x)) #s(literal 2 binary64)) x)
	5.0%	(+.f64 (/.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) x) (.f64 x (.f64 x (*.f64 x x)))) #s(literal 2 binary64)) x)
	11.4%	(+.f64 (/.f64 (/.f64 (.f64 x (.f64 x x)) (*.f64 x x)) #s(literal 2 binary64)) x)
	18.9%	(+.f64 (/.f64 (/.f64 (*.f64 x x) x) #s(literal 2 binary64)) x)
	18.9%	(+.f64 (/.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x x)) #s(literal 2 binary64)) x)
	28.1%	(+.f64 (/.f64 x #s(literal 2 binary64)) x)
	28.1%	(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x)
	4.8%	(+.f64 x (/.f64 (.f64 (.f64 x x) (.f64 (/.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x (*.f64 x x))))) #s(literal 2 binary64)))
✓	99.9%	(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
	59.9%	(+.f64 x (/.f64 (fabs.f64 y) #s(literal 2 binary64)))
✓	99.7%	(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 y x)))))
	16.7%	(.f64 (/.f64 (/.f64 x (/.f64 #s(literal 2 binary64) x)) (.f64 x x)) x)
	10.6%	(.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (.f64 x (*.f64 x x)))
	18.9%	(.f64 (/.f64 #s(literal 1/2 binary64) x) (.f64 x x))
	16.8%	(.f64 (-.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 x #s(literal 2 binary64)) x)))
	9.8%	(.f64 (.f64 x (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)) (.f64 x (.f64 x x)))
	30.9%	(.f64 x (.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
	7.2%	(fabs.f64 x)
✓	10.9%	x

Compiler

Compiled 3294 to 964 computations (70.7% saved)

regimes95.0ms (0.4%)

Counts

96 → 1

Calls

Call 1

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

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

Calls

3 calls:

33.0ms	x
26.0ms	(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
25.0ms	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)

regimes54.0ms (0.2%)

Counts

83 → 3

Calls

Call 1

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

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

Calls

2 calls:

23.0ms	y
22.0ms	x

Results

Accuracy	Segments	Branch
79.8%	3	`x`
82.8%	3	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes55.0ms (0.2%)

Counts

81 → 3

Calls

Call 1

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

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

Calls

2 calls:

23.0ms	y
22.0ms	x

Results

Accuracy	Segments	Branch
79.8%	3	`x`
73.9%	5	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes50.0ms (0.2%)

Counts

80 → 2

Calls

Call 1

Inputs
x
(/.f64 x #s(literal 2 binary64))
(+.f64 (/.f64 x #s(literal 2 binary64)) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
(/.f64 (*.f64 x x) x)
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x x) x))
(.f64 (/.f64 #s(literal 1/2 binary64) x) (.f64 x x))
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x)
(/.f64 (-.f64 (*.f64 x x) #s(literal 0 binary64)) x)
(/.f64 (/.f64 x (/.f64 #s(literal 2 binary64) x)) x)
(.f64 x (.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (/.f64 #s(literal 2 binary64) x)))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (.f64 x x))
(+.f64 (/.f64 (/.f64 (*.f64 x x) x) #s(literal 2 binary64)) x)
(/.f64 (.f64 x (.f64 x x)) (*.f64 x x))
(/.f64 (+.f64 (/.f64 x x) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) x))
(/.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (.f64 x (*.f64 x x)))
(.f64 (/.f64 (/.f64 x (/.f64 #s(literal 2 binary64) x)) (.f64 x x)) x)
(+.f64 (/.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x x)) #s(literal 2 binary64)) x)
(/.f64 (.f64 x (.f64 x x)) (/.f64 x (/.f64 #s(literal 1/2 binary64) x)))
(+.f64 (/.f64 (/.f64 (.f64 x (.f64 x x)) (*.f64 x x)) #s(literal 2 binary64)) x)
(/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 2 binary64) (.f64 x (*.f64 x x))))
(/.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) x)))) (*.f64 x x))
(/.f64 (/.f64 (/.f64 (.f64 x (.f64 x (*.f64 x x))) x) x) x)
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x x))))
(.f64 (.f64 x (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)) (.f64 x (.f64 x x)))
(/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) x) (.f64 x (.f64 x (.f64 x x)))) (*.f64 x x))
(/.f64 (-.f64 (.f64 x x) #s(literal 0 binary64)) (/.f64 (.f64 x (.f64 x x)) (.f64 x x)))
(/.f64 (-.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 x x)) (-.f64 (/.f64 x #s(literal 2 binary64)) x))
(/.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (*.f64 x x))) #s(literal 2 binary64))
(.f64 (-.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 x #s(literal 2 binary64)) x)))
(/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) x) (.f64 x (.f64 x (*.f64 x x))))
(/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (*.f64 x x))
(/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (*.f64 x x))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))) (.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 x x)) (.f64 x x))
(/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) x) x)) (.f64 x x))
(+.f64 (/.f64 (/.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x (.f64 x (.f64 x x)))) (*.f64 x x)) #s(literal 2 binary64)) x)
(/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) x) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 2 binary64)))
(/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (.f64 x x) #s(literal 0 binary64)) (/.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x x))))
(/.f64 (-.f64 (.f64 x x) #s(literal 0 binary64)) (/.f64 (-.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal 0 binary64))) (*.f64 x x)))
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) x) (/.f64 #s(literal -1 binary64) (.f64 x (.f64 x (.f64 x x))))) #s(literal 2 binary64))
(+.f64 (/.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) x) (.f64 x (.f64 x (*.f64 x x)))) #s(literal 2 binary64)) x)
(/.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x x))))
(/.f64 (.f64 x (.f64 x x)) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x (.f64 x x)))) (-.f64 #s(literal 0 binary64) (.f64 x x))))
(/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) x) x) (.f64 x (.f64 x (.f64 x (.f64 x x))))) #s(literal 2 binary64))
(/.f64 (+.f64 (.f64 x (.f64 (.f64 x x) #s(literal 2 binary64))) (.f64 x (.f64 x x))) (.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 2 binary64))))
(/.f64 (/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x (.f64 x x)))) x)
(/.f64 (/.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 2 binary64)) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x (.f64 x (.f64 x x))) x)))
(/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x (*.f64 x x))))
(/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x x))) #s(literal 2 binary64))) (*.f64 x x))
(/.f64 (.f64 (.f64 x (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x (.f64 x (.f64 x x))))) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (*.f64 x x))
(/.f64 (-.f64 (.f64 x x) #s(literal 0 binary64)) (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) x) (.f64 x (.f64 x (.f64 x x)))))
(/.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x (.f64 x x)))))
(/.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (.f64 x (.f64 x (*.f64 x x))))
(/.f64 (/.f64 (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x (.f64 x x)))) (.f64 x x))
(/.f64 (-.f64 (.f64 x x) #s(literal 0 binary64)) (/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x (.f64 x (.f64 x x))) x)))
(/.f64 (.f64 x (.f64 x x)) (/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (.f64 x (.f64 x (.f64 x x)))))
(+.f64 x (/.f64 (.f64 (.f64 x x) (.f64 (/.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x (*.f64 x x))))) #s(literal 2 binary64)))
(/.f64 (.f64 x (.f64 x x)) (/.f64 (-.f64 (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal 0 binary64)) (.f64 x (.f64 x (.f64 x (.f64 x x))))))
(/.f64 (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal 0 binary64)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) x)
(/.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))
(/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 x x))
(/.f64 (.f64 (.f64 x (.f64 (.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) x) x) (.f64 x (.f64 x (.f64 x (.f64 x x))))) (.f64 x x))) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (*.f64 x x))
(/.f64 (.f64 (.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) x) x) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (*.f64 x x))
(/.f64 (+.f64 (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) x) #s(literal 1 binary64)) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 2 binary64)) x)) (.f64 (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 (+.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) x)) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x x)))
(/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x)))) (.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))))
(/.f64 (-.f64 (.f64 x x) #s(literal 0 binary64)) (/.f64 (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x (.f64 x x))))) x) (.f64 x (.f64 x (*.f64 x x)))))
(/.f64 (/.f64 (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 0 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) x)
(/.f64 (.f64 (.f64 x (.f64 x (.f64 (.f64 (/.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) x) (/.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) x)) (.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x (.f64 x x)))) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x (.f64 x x)))))))) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (*.f64 x x))
(/.f64 (.f64 (.f64 x (.f64 x (.f64 (.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) x) x) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) x) x)) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))))) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (*.f64 x x))
(/.f64 (-.f64 (.f64 x x) #s(literal 0 binary64)) (/.f64 (.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) x) (.f64 x (.f64 x (*.f64 x x)))))
(/.f64 (.f64 x (.f64 x x)) (/.f64 (-.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x (.f64 x x)))) #s(literal 0 binary64))) (.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x (.f64 x x))))))
(fabs.f64 x)
(*.f64 #s(literal 1/2 binary64) (fabs.f64 x))

Outputs
(/.f64 x #s(literal 2 binary64))
(+.f64 (/.f64 x #s(literal 2 binary64)) x)

Calls

2 calls:

23.0ms	y
22.0ms	x

Results

Accuracy	Segments	Branch
34.8%	3	`y`
48.9%	2	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes22.0ms (0.1%)

Counts

2 → 1

Calls

Call 1

Inputs
x
(/.f64 x #s(literal 2 binary64))

Outputs
(/.f64 x #s(literal 2 binary64))

Calls

2 calls:

20.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
31.0%	1	`y`
31.0%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

2 calls:

1.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
10.9%	1	`x`
10.9%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch71.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
57.0ms	1.7392670208880252e-31	3.7227698939017646e-23
11.0ms	-1.9597245963010223e-103	-5.918767842316785e-106

Results

58.0ms	262×	0	valid
1.0ms	6×	2	valid
0.0ms	3×	1	valid
0.0ms	1×	3	valid

Compiler

Compiled 321 to 249 computations (22.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 53.0ms

ival-add: 46.0ms (87.5% of total)

ival-div: 2.0ms (3.8% of total)

ival-sub: 2.0ms (3.8% of total)

ival-fabs: 2.0ms (3.8% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch30.0ms (0.1%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	36564892199875630.0	5.284201501775012e+23
14.0ms	-3.3363736186308166e-24	-4.534182749488877e-38

Results

17.0ms	302×	0	valid
0.0ms	2×	2	valid

Compiler

Compiled 318 to 248 computations (22% saved)

Precisions

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

ival-div: 3.0ms (32.2% of total)

ival-sub: 2.0ms (21.5% of total)

ival-add: 2.0ms (21.5% of total)

ival-fabs: 2.0ms (21.5% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch16.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	-1.7260818090796124e-307	2.092508468163038e-302

Results

8.0ms

144×

valid

Compiler

Compiled 141 to 110 computations (22% saved)

Precisions

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

ival-sub: 1.0ms (26.4% of total)

ival-div: 1.0ms (26.4% of total)

ival-add: 1.0ms (26.4% of total)

ival-fabs: 1.0ms (26.4% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

soundness1.0ms (0%)

Stop Event

1×

fuel

Compiler

Compiled 74 to 30 computations (59.5% saved)

preprocess36.0ms (0.1%)

Compiler: Compiled 168 to 74 computations (56% saved)

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%)

sample737.0ms (3%)

preprocess45.0ms (0.2%)

explain66.0ms (0.3%)

eval0.0ms (0%)

prune1.0ms (0%)

localize58.0ms (0.2%)

series8.0ms (0%)

rewrite339.0ms (1.4%)

simplify230.0ms (0.9%)

eval50.0ms (0.2%)

prune124.0ms (0.5%)

localize634.0ms (2.6%)

series71.0ms (0.3%)

rewrite578.0ms (2.4%)

simplify586.0ms (2.4%)

eval444.0ms (1.8%)

prune506.0ms (2.1%)

localize689.0ms (2.8%)

series27.0ms (0.1%)

rewrite425.0ms (1.8%)

simplify383.0ms (1.6%)

eval489.0ms (2%)

prune830.0ms (3.4%)

localize518.0ms (2.1%)

series24.0ms (0.1%)

rewrite731.0ms (3%)

simplify429.0ms (1.8%)

eval2.3s (9.3%)

prune12.6s (51.7%)

regimes95.0ms (0.4%)

regimes54.0ms (0.2%)

regimes55.0ms (0.2%)

regimes50.0ms (0.2%)

regimes22.0ms (0.1%)

regimes3.0ms (0%)

bsearch71.0ms (0.3%)

bsearch30.0ms (0.1%)

bsearch16.0ms (0.1%)

soundness1.0ms (0%)

preprocess36.0ms (0.1%)

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