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)

sample977.0ms (9.9%)

Results

635.0ms	7929×	0	valid
17.0ms	97×	2	valid
16.0ms	157×	1	valid
15.0ms	73×	3	valid

Precisions

Click to see histograms. Total time spent on operations: 473.0ms

ival-fabs: 158.0ms (33.4% of total)

ival-add: 130.0ms (27.5% of total)

ival-sub: 92.0ms (19.5% of total)

ival-div: 72.0ms (15.2% of total)

const: 11.0ms (2.3% of total)

backward-pass: 9.0ms (1.9% of total)

Bogosity

preprocess76.0ms (0.8%)

Algorithm

2×	egg-herbie

Rules

552×	`fnmadd-define`
488×	`fnmsub-define`
488×	`fmsub-define`
446×	`fmm-def`
294×	`sum3-define`

Iterations

Useful iterations: 8 (0.0ms)

Iter	Nodes	Cost
0	23	56
1	52	48
2	143	48
3	372	48
4	795	44
5	1281	44
6	1538	42
7	1786	42
8	1897	42
9	1934	42
10	1954	42
11	1962	42
0	7	8
1	12	8
2	19	8
3	28	8
4	50	8
5	123	8
6	278	8
7	436	8
8	581	7
9	722	7
10	871	7
11	943	7
12	957	7
13	970	7
14	990	7
15	998	7
0	998	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))
(fma (fabs (- y x)) 1/2 x)
(+ (neg x) (/ (fabs (- y (neg x))) 2))
(fnmsub (fabs (+ x y)) -1/2 x)
(+ x (/ (fabs (- (neg y) x)) 2))
(fma (fabs (+ x y)) 1/2 x)
(neg (+ (neg x) (/ (fabs (- y (neg x))) 2)))
(fma (fabs (+ x y)) -1/2 x)
(neg (+ x (/ (fabs (- (neg y) x)) 2)))
(fnmsub (fabs (+ x y)) 1/2 x)
(+ y (/ (fabs (- x y)) 2))
(fma (fabs (- y x)) 1/2 y)

explain147.0ms (1.5%)

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

33.0ms	492×	0	valid
2.0ms	8×	3	valid
2.0ms	8×	2	valid
1.0ms	4×	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: 5.0ms (30.9% of total)

ival-sub: 4.0ms (24.8% of total)

ival-fabs: 3.0ms (18.6% of total)

ival-add: 3.0ms (18.6% of total)

const: 1.0ms (6.2% of total)

backward-pass: 1.0ms (6.2% 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)

simplify44.0ms (0.4%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

248×	`fnmadd-define`
212×	`fnmsub-define`
212×	`fmsub-define`
202×	`fmm-def`
192×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 8 (0.0ms)

Iter	Nodes	Cost
0	7	24
1	12	24
2	19	24
3	28	24
4	50	24
5	123	24
6	278	24
7	436	24
8	581	23
9	722	23
10	871	23
11	943	23
12	957	23
13	970	23
14	990	23
15	998	23
0	998	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)

localize31.0ms (0.3%)

Localize:

Found 4 expressions of interest:

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

Results

16.0ms	246×	0	valid
1.0ms	4×	3	valid
1.0ms	4×	2	valid
0.0ms	2×	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 (25.7% of total)

ival-sub: 2.0ms (25.7% of total)

ival-fabs: 2.0ms (25.7% of total)

ival-add: 1.0ms (12.8% of total)

const: 0.0ms (0% of total)

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

series4.0ms (0%)

Counts

4 → 96

Calls

Call 1

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

Calls

24 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	@	0	(+ x (/ (fabs (- y x)) 2))

rewrite275.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

2716×	`-lowering-.f32`
2716×	`-lowering-.f64`
2374×	`/-lowering-/.f32`
2374×	`/-lowering-/.f64`
1952×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	21
1	47	20
2	402	20
3	5830	20
0	8059	20

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 195

Calls

Call 1

Inputs
(+ x (/ (fabs (- y x)) 2))
(/ (fabs (- y x)) 2)
(fabs (- y x))
(- y 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))))))
(-.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 #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 binary64) (-.f64 #s(literal 0 binary64) x) (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
(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)) (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 (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))))))
(neg.f64 (/.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 #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))))))))
(neg.f64 (/.f64 (+.f64 (.f64 x x) (/.f64 (.f64 (-.f64 y x) (-.f64 y x)) #s(literal -4 binary64))) (+.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 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 (/.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)))))))
(neg.f64 (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (.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 (.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 #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))))))
(/.f64 (-.f64 #s(literal 0 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 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 #s(literal 0 binary64) (.f64 x x)) (/.f64 (.f64 (-.f64 y x) (-.f64 y x)) #s(literal 4 binary64))) (+.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))))
(/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 (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 (.f64 (.f64 (-.f64 y x) (-.f64 y x)) (.f64 (-.f64 y x) (-.f64 y x))) #s(literal 16 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 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (/.f64 (.f64 (-.f64 y x) (-.f64 y x)) #s(literal 4 binary64)) (/.f64 (.f64 (.f64 (-.f64 y x) (-.f64 y x)) (.f64 (-.f64 y x) (-.f64 y x))) #s(literal 16 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 (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (/.f64 (.f64 (-.f64 y x) (-.f64 y x)) #s(literal 4 binary64)) (/.f64 (.f64 (.f64 (-.f64 y x) (-.f64 y x)) (.f64 (-.f64 y x) (-.f64 y x))) #s(literal 16 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)))))
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(*.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
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(.f64 (/.f64 (-.f64 (.f64 y y) (.f64 x x)) (-.f64 (.f64 y y) (*.f64 x x))) (-.f64 y x))
(.f64 (/.f64 (-.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x))) (+.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (.f64 (.f64 x (+.f64 x y)) (.f64 (.f64 x x) (.f64 (+.f64 x y) (+.f64 x y)))))) (+.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 (.f64 x (+.f64 x y)) (-.f64 (.f64 x (+.f64 x y)) (.f64 y y)))))
(.f64 (/.f64 (-.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x))) (-.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 (.f64 x x) (.f64 (+.f64 x y) (+.f64 x y))))) (-.f64 (.f64 y y) (*.f64 x (+.f64 x y))))
(.f64 (/.f64 (-.f64 (.f64 y y) (.f64 x x)) (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) (+.f64 (.f64 y y) (*.f64 x (-.f64 x y))))

simplify132.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1496×	`sum5-define`
1462×	`fmsub-define`
1448×	`fnmsub-define`
1210×	`sum3-define`
1192×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	43	479
1	117	458
2	293	458
3	903	458
4	3274	458
5	6167	458
0	8070	458

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

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

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

eval33.0ms (0.3%)

Compiler: Compiled 6995 to 800 computations (88.6% saved)

prune32.0ms (0.3%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	283	8	291
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	283	9	292

Accuracy

100.0%

Counts

292 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	56.3%	(/.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))
	27.7%	(/.f64 (-.f64 (.f64 x (.f64 x (.f64 x x))) (/.f64 (.f64 (.f64 (-.f64 y x) (-.f64 y x)) (.f64 (-.f64 y x) (-.f64 y x))) #s(literal 16 binary64))) (.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal -2 binary64))) (+.f64 (.f64 x x) (/.f64 (*.f64 (-.f64 y x) (-.f64 y x)) #s(literal 4 binary64)))))
▶	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))))
✓	99.9%	(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
▶	99.9%	(+.f64 x (/.f64 (fabs.f64 (*.f64 (+.f64 x y) (/.f64 (-.f64 y x) (+.f64 x y)))) #s(literal 2 binary64)))
	99.7%	(+.f64 x (/.f64 (fabs.f64 (.f64 (+.f64 x y) (.f64 (-.f64 y x) (/.f64 #s(literal 1 binary64) (+.f64 x y))))) #s(literal 2 binary64)))
	60.0%	(+.f64 x (/.f64 (fabs.f64 y) #s(literal 2 binary64)))
▶	99.3%	(+.f64 x (*.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))))
▶	10.9%	x

Compiler

Compiled 326 to 173 computations (46.9% saved)

simplify168.0ms (1.7%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 y x)))
✓	cost-diff	0	(pow.f64 (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 y x))) #s(literal -1/2 binary64))
✓	cost-diff	19712	(*.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)))
✓	cost-diff	19712	(+.f64 x (*.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))))
✓	cost-diff	0	(*.f64 (-.f64 y x) (-.f64 y x))
✓	cost-diff	0	(/.f64 (*.f64 (-.f64 y x) (-.f64 y x)) #s(literal 4 binary64))
✓	cost-diff	0	(-.f64 (/.f64 (.f64 (-.f64 y x) (-.f64 y x)) #s(literal 4 binary64)) (.f64 x x))
✓	cost-diff	0	(/.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))
✓	cost-diff	0	(/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))
✓	cost-diff	0	(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))))
✓	cost-diff	256	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))))
✓	cost-diff	512	(*.f64 (+.f64 x y) (/.f64 (-.f64 y x) (+.f64 x y)))
✓	cost-diff	512	(fabs.f64 (*.f64 (+.f64 x y) (/.f64 (-.f64 y x) (+.f64 x y))))
✓	cost-diff	512	(/.f64 (fabs.f64 (*.f64 (+.f64 x y) (/.f64 (-.f64 y x) (+.f64 x y)))) #s(literal 2 binary64))
✓	cost-diff	512	(+.f64 x (/.f64 (fabs.f64 (*.f64 (+.f64 x y) (/.f64 (-.f64 y x) (+.f64 x y)))) #s(literal 2 binary64)))

Rules

1928×	`-lowering-.f32`
1928×	`-lowering-.f64`
1690×	`fma-lowering-fma.f32`
1690×	`fma-lowering-fma.f64`
1432×	`fmsub-define`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	28	319
1	67	319
2	137	319
3	315	188
4	1148	176
5	4859	176
0	8205	176

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize226.0ms (2.3%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 y x)))
✓	accuracy	99.9%	(+.f64 x (*.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))))
✓	accuracy	99.7%	(pow.f64 (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 y x))) #s(literal -1/2 binary64))
✓	accuracy	99.2%	(*.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)))
✓	accuracy	100.0%	(*.f64 (-.f64 y x) (-.f64 y x))
✓	accuracy	99.9%	(-.f64 (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) x)
✓	accuracy	76.8%	(-.f64 (/.f64 (.f64 (-.f64 y x) (-.f64 y x)) #s(literal 4 binary64)) (.f64 x x))
✓	accuracy	58.1%	(/.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))
✓	accuracy	100.0%	(fabs.f64 (-.f64 y x))
✓	accuracy	99.9%	(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))))
✓	accuracy	100.0%	(fabs.f64 (*.f64 (+.f64 x y) (/.f64 (-.f64 y x) (+.f64 x y))))
✓	accuracy	99.9%	(/.f64 (-.f64 y x) (+.f64 x y))
✓	accuracy	99.9%	(*.f64 (+.f64 x y) (/.f64 (-.f64 y x) (+.f64 x y)))
✓	accuracy	99.9%	(+.f64 x (/.f64 (fabs.f64 (*.f64 (+.f64 x y) (/.f64 (-.f64 y x) (+.f64 x y)))) #s(literal 2 binary64)))

Results

87.0ms	223×	0	valid
58.0ms	13×	1	valid
12.0ms	8×	3	valid
12.0ms	12×	2	valid

Compiler

Compiled 260 to 29 computations (88.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 56.0ms

ival-div: 16.0ms (28.7% of total)

ival-pow: 12.0ms (21.5% of total)

ival-mult: 9.0ms (16.1% of total)

ival-add: 7.0ms (12.5% of total)

ival-sub: 5.0ms (9% of total)

backward-pass: 4.0ms (7.2% of total)

ival-fabs: 3.0ms (5.4% of total)

const: 1.0ms (1.8% of total)

series54.0ms (0.6%)

Counts

19 → 456

Calls

Call 1

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

Calls

114 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(pow (/ 2 (fabs (- y x))) -1/2)
2.0ms	y	@	-inf	(/ (- (/ (* (- y x) (- y x)) 4) (* x x)) (- (/ (fabs (- y x)) 2) x))
1.0ms	x	@	inf	(/ (- (/ (* (- y x) (- y x)) 4) (* x x)) (- (/ (fabs (- y x)) 2) x))
1.0ms	x	@	inf	(/ 1 (+ x (/ (fabs (- y x)) 2)))
1.0ms	x	@	0	(/ (- (/ (* (- y x) (- y x)) 4) (* x x)) (- (/ (fabs (- y x)) 2) x))

rewrite540.0ms (5.5%)

Algorithm

1×	batch-egg-rewrite

Rules

3326×	`/-lowering-/.f32`
3326×	`/-lowering-/.f64`
2742×	`-lowering-.f32`
2742×	`-lowering-.f64`
1256×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	214
1	205	118
2	1932	118
0	8617	118

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 1563

Calls

Call 1

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

simplify372.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

3404×	`-lowering-.f32`
3404×	`-lowering-.f64`
2784×	`+-lowering-+.f64`
2784×	`+-lowering-+.f32`
1584×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	513	4588
1	1726	4150
2	5316	4064
0	8424	4064

Stop Event

1×	iter limit
1×	node limit

Counts

456 → 456

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 (* -1 (+ x (* -1 y))))))
(+ x (* 1/2 (fabs (* -1 (+ x (* -1 y))))))
(+ x (* 1/2 (fabs (* -1 (+ x (* -1 y))))))
(+ x (* 1/2 (fabs (* -1 (+ x (* -1 y))))))
(* 1/2 (fabs (- y x)))
(* 1/2 (fabs (- y x)))
(* 1/2 (fabs (- y x)))
(* 1/2 (fabs (- y x)))
(* 1/2 (fabs (- y x)))
(* 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)))
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
(fabs (* -1 (+ x (* -1 y))))
(fabs (* -1 (+ x (* -1 y))))
(fabs (* -1 (+ x (* -1 y))))
(fabs (* -1 (+ x (* -1 y))))
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)))
(* 1/2 (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)))
(+ (* -4 (/ x (pow (fabs (- y x)) 2))) (* 2 (/ 1 (fabs (- y x)))))
(+ (* x (- (* 8 (/ x (pow (fabs (- y x)) 3))) (* 4 (/ 1 (pow (fabs (- y x)) 2))))) (* 2 (/ 1 (fabs (- y x)))))
(+ (* x (- (* x (+ (* -16 (/ x (pow (fabs (- y x)) 4))) (* 8 (/ 1 (pow (fabs (- y x)) 3))))) (* 4 (/ 1 (pow (fabs (- y x)) 2))))) (* 2 (/ 1 (fabs (- y x)))))
(/ 1 x)
(/ (+ 1 (* -1/2 (/ (fabs (- y x)) x))) x)
(/ (- (+ 1 (* 1/4 (/ (pow (fabs (- y x)) 2) (pow x 2)))) (* 1/2 (/ (fabs (- y x)) x))) x)
(/ (- (+ 1 (* -1/8 (/ (pow (fabs (- y x)) 3) (pow x 3)))) (+ (* -1/4 (/ (pow (fabs (- y x)) 2) (pow x 2))) (* 1/2 (/ (fabs (- y x)) x)))) x)
(/ 1 x)
(* -1 (/ (- (* 1/2 (/ (fabs (+ y (* -1 x))) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* 1/4 (/ (pow (fabs (+ y (* -1 x))) 2) x)) (* 1/2 (fabs (+ y (* -1 x))))) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (pow (fabs (+ y (* -1 x))) 3) x)) (* 1/4 (pow (fabs (+ y (* -1 x))) 2))) x)) (* 1/2 (fabs (+ y (* -1 x))))) x)) 1) x))
(/ 1 (+ x (* 1/2 (fabs (- y x)))))
(/ 1 (+ x (* 1/2 (fabs (- y x)))))
(/ 1 (+ x (* 1/2 (fabs (- y x)))))
(/ 1 (+ x (* 1/2 (fabs (- y x)))))
(/ 1 (+ x (* 1/2 (fabs (- y x)))))
(/ 1 (+ x (* 1/2 (fabs (- y x)))))
(/ 1 (+ x (* 1/2 (fabs (- y x)))))
(/ 1 (+ x (* 1/2 (fabs (- y x)))))
(/ 1 (+ x (* 1/2 (fabs (neg (+ x (* -1 y)))))))
(/ 1 (+ x (* 1/2 (fabs (neg (+ x (* -1 y)))))))
(/ 1 (+ x (* 1/2 (fabs (neg (+ x (* -1 y)))))))
(/ 1 (+ x (* 1/2 (fabs (neg (+ x (* -1 y)))))))
(* 1/2 (fabs (- y x)))
(+ x (* 1/2 (fabs (- y x))))
(+ x (* 1/2 (fabs (- y x))))
(+ x (* 1/2 (fabs (- y x))))
x
(* x (+ 1 (* 1/2 (/ (fabs (- y x)) x))))
(* x (+ 1 (* 1/2 (/ (fabs (- y x)) x))))
(* x (+ 1 (* 1/2 (/ (fabs (- y x)) x))))
x
(* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1)))
(* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1)))
(* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1)))
(+ x (* 1/2 (fabs (- y x))))
(+ x (* 1/2 (fabs (- y x))))
(+ x (* 1/2 (fabs (- y x))))
(+ x (* 1/2 (fabs (- y x))))
(+ x (* 1/2 (fabs (- y x))))
(+ x (* 1/2 (fabs (- y x))))
(+ x (* 1/2 (fabs (- y x))))
(+ x (* 1/2 (fabs (- y x))))
(+ x (* 1/2 (fabs (neg (+ x (* -1 y))))))
(+ x (* 1/2 (fabs (neg (+ x (* -1 y))))))
(+ x (* 1/2 (fabs (neg (+ x (* -1 y))))))
(+ x (* 1/2 (fabs (neg (+ x (* -1 y))))))
(* 1/2 (fabs (- y x)))
(* 1/2 (fabs (- y x)))
(* 1/2 (fabs (- y x)))
(* 1/2 (fabs (- y x)))
(* 1/2 (fabs (- y x)))
(* 1/2 (fabs (- y x)))
(* 1/2 (fabs (- y x)))
(* 1/2 (fabs (- y x)))
(* 1/2 (fabs (neg (+ x (* -1 y)))))
(* 1/2 (fabs (neg (+ x (* -1 y)))))
(* 1/2 (fabs (neg (+ x (* -1 y)))))
(* 1/2 (fabs (neg (+ x (* -1 y)))))
(* 1/2 (fabs (- y x)))
(* 1/2 (fabs (- y x)))
(* 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))))
(/ (- (* 1/4 (pow x 2)) (pow x 2)) (- (* 1/2 (fabs (- y x))) x))
(- (+ (* -1/2 (/ (* x y) (- (* 1/2 (fabs (- y x))) x))) (* 1/4 (/ (pow x 2) (- (* 1/2 (fabs (- y x))) x)))) (/ (pow x 2) (- (* 1/2 (fabs (- y x))) x)))
(- (+ (* 1/4 (/ (pow x 2) (- (* 1/2 (fabs (- y x))) x))) (* y (+ (* -1/2 (/ x (- (* 1/2 (fabs (- y x))) x))) (* 1/4 (/ y (- (* 1/2 (fabs (- y x))) x)))))) (/ (pow x 2) (- (* 1/2 (fabs (- y x))) x)))
(- (+ (* 1/4 (/ (pow x 2) (- (* 1/2 (fabs (- y x))) x))) (* y (+ (* -1/2 (/ x (- (* 1/2 (fabs (- y x))) x))) (* 1/4 (/ y (- (* 1/2 (fabs (- y x))) x)))))) (/ (pow x 2) (- (* 1/2 (fabs (- y x))) x)))
(* 1/4 (/ (pow y 2) (- (* 1/2 (fabs (- y x))) x)))
(* (pow y 2) (+ (* -1/2 (/ x (* y (- (* 1/2 (fabs (- y x))) x)))) (* 1/4 (/ 1 (- (* 1/2 (fabs (- y x))) x)))))
(* (pow y 2) (- (+ (* -1/2 (/ x (* y (- (* 1/2 (fabs (- y x))) x)))) (+ (* 1/4 (/ (pow x 2) (* (pow y 2) (- (* 1/2 (fabs (- y x))) x)))) (* 1/4 (/ 1 (- (* 1/2 (fabs (- y x))) x))))) (/ (pow x 2) (* (pow y 2) (- (* 1/2 (fabs (- y x))) x)))))
(* (pow y 2) (- (+ (* -1/2 (/ x (* y (- (* 1/2 (fabs (- y x))) x)))) (+ (* 1/4 (/ (pow x 2) (* (pow y 2) (- (* 1/2 (fabs (- y x))) x)))) (* 1/4 (/ 1 (- (* 1/2 (fabs (- y x))) x))))) (/ (pow x 2) (* (pow y 2) (- (* 1/2 (fabs (- y x))) x)))))
(* 1/4 (/ (pow y 2) (- (* 1/2 (fabs (neg (+ x (* -1 y))))) x)))
(* (pow y 2) (+ (* -1/2 (/ x (* y (- (* 1/2 (fabs (neg (+ x (* -1 y))))) x)))) (* 1/4 (/ 1 (- (* 1/2 (fabs (neg (+ x (* -1 y))))) x)))))
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ (- (* 1/4 (/ (pow x 2) (- (* 1/2 (fabs (neg (+ x (* -1 y))))) x))) (/ (pow x 2) (- (* 1/2 (fabs (neg (+ x (* -1 y))))) x))) y)) (* 1/2 (/ x (- (* 1/2 (fabs (neg (+ x (* -1 y))))) x)))) y)) (* 1/4 (/ 1 (- (* 1/2 (fabs (neg (+ x (* -1 y))))) x)))))
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ (- (* 1/4 (/ (pow x 2) (- (* 1/2 (fabs (neg (+ x (* -1 y))))) x))) (/ (pow x 2) (- (* 1/2 (fabs (neg (+ x (* -1 y))))) x))) y)) (* 1/2 (/ x (- (* 1/2 (fabs (neg (+ x (* -1 y))))) x)))) y)) (* 1/4 (/ 1 (- (* 1/2 (fabs (neg (+ x (* -1 y))))) x)))))
(* 1/2 (/ (pow y 2) (fabs (- y x))))
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x
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Outputs
(* 1/2 (fabs (- y x)))
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#s(literal 1 binary64)
(- (+ 1 (* -1 (/ x y))) (/ x y))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal -2 binary64)) y))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 x) x)) (/ (* x (- (* -1 x) x)) y)) y)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (.f64 x (.f64 x #s(literal -2 binary64))) y) (*.f64 x #s(literal 2 binary64))) y))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 x) x)) (* -1 (/ (+ (* -1 (* x (- (* -1 x) x))) (/ (* (pow x 2) (- (* -1 x) x)) y)) y))) y)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x #s(literal -2 binary64)) (/.f64 (-.f64 (/.f64 (.f64 x (.f64 x (.f64 x #s(literal -2 binary64)))) y) (.f64 x (.f64 x #s(literal -2 binary64)))) y)) y))
1
#s(literal 1 binary64)
(+ 1 (* -2 (/ x y)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal -2 binary64)) y))
(+ 1 (* x (- (* 2 (/ x (pow y 2))) (* 2 (/ 1 y)))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (/.f64 #s(literal -2 binary64) y) (.f64 #s(literal 2 binary64) (/.f64 x (*.f64 y y))))))
(+ 1 (* x (- (* x (+ (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x (+.f64 (/.f64 (/.f64 (.f64 x #s(literal -2 binary64)) y) (.f64 y y)) (/.f64 #s(literal 2 binary64) (*.f64 y y)))) (/.f64 #s(literal -2 binary64) y))))
-1
#s(literal -1 binary64)
(- (/ y x) (+ 1 (* -1 (/ y x))))
(+.f64 #s(literal -1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x))
(- (+ (* -1 (/ (* y (- y (* -1 y))) (pow x 2))) (/ y x)) (+ 1 (* -1 (/ y x))))
(+.f64 #s(literal -1 binary64) (.f64 y (+.f64 (/.f64 (.f64 (/.f64 y x) #s(literal -2 binary64)) x) (/.f64 #s(literal 2 binary64) x))))
(- (+ (/ y x) (/ (* (pow y 2) (- y (* -1 y))) (pow x 3))) (+ 1 (+ (* -1 (/ y x)) (/ (* y (- y (* -1 y))) (pow x 2)))))
(+.f64 (/.f64 y x) (+.f64 (-.f64 (/.f64 (/.f64 (.f64 y (.f64 y (.f64 y #s(literal 2 binary64)))) x) (.f64 x x)) (/.f64 (-.f64 (/.f64 (.f64 y (.f64 y #s(literal 2 binary64))) x) y) x)) #s(literal -1 binary64)))
-1
#s(literal -1 binary64)
(- (* -1 (/ (- (* -1 y) y) x)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x))
(- (* -1 (/ (- (+ (* -1 y) (* -1 (/ (* y (- (* -1 y) y)) x))) y) x)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 (.f64 y (.f64 y #s(literal 2 binary64))) x) (*.f64 y #s(literal -2 binary64))) x))
(- (* -1 (/ (- (+ (* -1 y) (* -1 (/ (- (* -1 (/ (* (pow y 2) (- (* -1 y) y)) x)) (* -1 (* y (- (* -1 y) y)))) x))) y) x)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 (+.f64 (.f64 y (.f64 y (.f64 (/.f64 y x) #s(literal -2 binary64)))) (.f64 y (.f64 y #s(literal 2 binary64)))) x) (.f64 y #s(literal -2 binary64))) 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))
(- (* 1/2 (fabs (- y x))) x)
(-.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))) x)
(- (* 1/2 (fabs (- y x))) x)
(-.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))) x)
(- (* 1/2 (fabs (- y x))) x)
(-.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))) x)
(- (* 1/2 (fabs (- y x))) x)
(-.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))) x)
(- (* 1/2 (fabs (- y x))) x)
(-.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))) x)
(- (* 1/2 (fabs (- y x))) x)
(-.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))) x)
(- (* 1/2 (fabs (- y x))) x)
(-.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))) x)
(- (* 1/2 (fabs (- y x))) x)
(-.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))) x)
(- (* 1/2 (fabs (neg (+ x (* -1 y))))) x)
(-.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))) x)
(- (* 1/2 (fabs (neg (+ x (* -1 y))))) x)
(-.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))) x)
(- (* 1/2 (fabs (neg (+ x (* -1 y))))) x)
(-.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))) x)
(- (* 1/2 (fabs (neg (+ x (* -1 y))))) x)
(-.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))) x)
(* 1/2 (fabs (- y x)))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))
(+ (* -1 x) (* 1/2 (fabs (- y x))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))) x)
(+ (* -1 x) (* 1/2 (fabs (- y x))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))) x)
(+ (* -1 x) (* 1/2 (fabs (- y x))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* x (- (* 1/2 (/ (fabs (- y x)) x)) 1))
(.f64 x (+.f64 (.f64 (fabs.f64 (-.f64 y x)) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)))
(* x (- (* 1/2 (/ (fabs (- y x)) x)) 1))
(.f64 x (+.f64 (.f64 (fabs.f64 (-.f64 y x)) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)))
(* x (- (* 1/2 (/ (fabs (- y x)) x)) 1))
(.f64 x (+.f64 (.f64 (fabs.f64 (-.f64 y x)) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 (* x (+ 1 (* -1/2 (/ (fabs (+ y (* -1 x))) x)))))
(.f64 x (+.f64 (.f64 (fabs.f64 (-.f64 y x)) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)))
(* -1 (* x (+ 1 (* -1/2 (/ (fabs (+ y (* -1 x))) x)))))
(.f64 x (+.f64 (.f64 (fabs.f64 (-.f64 y x)) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)))
(* -1 (* x (+ 1 (* -1/2 (/ (fabs (+ y (* -1 x))) x)))))
(.f64 x (+.f64 (.f64 (fabs.f64 (-.f64 y x)) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)))

eval367.0ms (3.7%)

Compiler: Compiled 78082 to 4579 computations (94.1% saved)

prune251.0ms (2.5%)

Pruning

15 alts after pruning (11 fresh and 4 done)

	Pruned	Kept	Total
New	2411	10	2421
Fresh	2	1	3
Picked	2	3	5
Done	0	1	1
Total	2415	15	2430

Accuracy

100.0%

Counts

2430 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	28.4%	(/.f64 (/.f64 (-.f64 (/.f64 (.f64 (.f64 (-.f64 y x) (-.f64 y x)) (.f64 (-.f64 y x) (-.f64 y x))) #s(literal 16 binary64)) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (.f64 x x) (.f64 (-.f64 y x) (/.f64 (-.f64 y x) #s(literal 4 binary64))))) (-.f64 (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) x))
▶	7.0%	(/.f64 (-.f64 (/.f64 (.f64 (-.f64 y x) (-.f64 y x)) #s(literal 4 binary64)) (.f64 x x)) (-.f64 #s(literal 0 binary64) x))
▶	25.6%	(/.f64 (-.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 x x)) (-.f64 (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) x))
▶	32.3%	(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 y y)) (fabs.f64 (-.f64 y x)))
✓	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))))
	10.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
	57.1%	(+.f64 x (pow.f64 (pow.f64 (/.f64 (/.f64 #s(literal 4 binary64) (-.f64 y x)) (-.f64 y x)) #s(literal -1/4 binary64)) #s(literal 2 binary64)))
✓	99.9%	(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
▶	99.7%	(+.f64 x (/.f64 (fabs.f64 (.f64 (+.f64 x y) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (-.f64 y x)))) #s(literal 2 binary64)))
	87.4%	(+.f64 x (/.f64 (fabs.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 y x)))) #s(literal 2 binary64)))
	60.0%	(+.f64 x (/.f64 (fabs.f64 y) #s(literal 2 binary64)))
	98.6%	(+.f64 x (*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
✓	99.3%	(+.f64 x (*.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))))
▶	10.9%	(*.f64 x #s(literal 3/4 binary64))
✓	10.9%	x

Compiler

Compiled 428 to 255 computations (40.4% saved)

simplify206.0ms (2.1%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(/.f64 (*.f64 x x) #s(literal 4 binary64))
✓	cost-diff	128	(-.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 x x))
✓	cost-diff	128	(/.f64 (-.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 x x)) (-.f64 (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) x))
✓	cost-diff	0	(fabs.f64 (-.f64 y x))
✓	cost-diff	0	(*.f64 y y)
✓	cost-diff	0	(.f64 #s(literal 1/2 binary64) (.f64 y y))
✓	cost-diff	0	(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 y y)) (fabs.f64 (-.f64 y x)))
✓	cost-diff	0	(*.f64 (-.f64 y x) (-.f64 y x))
✓	cost-diff	0	(/.f64 (*.f64 (-.f64 y x) (-.f64 y x)) #s(literal 4 binary64))
✓	cost-diff	0	(-.f64 (/.f64 (.f64 (-.f64 y x) (-.f64 y x)) #s(literal 4 binary64)) (.f64 x x))
✓	cost-diff	256	(/.f64 (-.f64 (/.f64 (.f64 (-.f64 y x) (-.f64 y x)) #s(literal 4 binary64)) (.f64 x x)) (-.f64 #s(literal 0 binary64) x))
✓	cost-diff	0	(*.f64 x #s(literal 3/4 binary64))
✓	cost-diff	640	(.f64 (+.f64 x y) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (-.f64 y x)))
✓	cost-diff	640	(fabs.f64 (.f64 (+.f64 x y) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (-.f64 y x))))
✓	cost-diff	640	(/.f64 (fabs.f64 (.f64 (+.f64 x y) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (-.f64 y x)))) #s(literal 2 binary64))
✓	cost-diff	640	(+.f64 x (/.f64 (fabs.f64 (.f64 (+.f64 x y) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (-.f64 y x)))) #s(literal 2 binary64)))

Rules

2960×	`-lowering-.f32`
2960×	`-lowering-.f64`
1756×	`+-lowering-+.f64`
1756×	`+-lowering-+.f32`
1284×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	32	268
1	79	168
2	203	168
3	941	166
4	6781	162
0	8396	162

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(+ x (/ (fabs (* (+ x y) (* (/ 1 (+ x y)) (- y x)))) 2))
x
(/ (fabs (* (+ x y) (* (/ 1 (+ x y)) (- y x)))) 2)
(fabs (* (+ x y) (* (/ 1 (+ x y)) (- y x))))
(* (+ x y) (* (/ 1 (+ x y)) (- y x)))
(+ x y)
y
(* (/ 1 (+ x y)) (- y x))
(/ 1 (+ x y))
1
(- y x)
2
(* x 3/4)
x
3/4
(/ (- (/ (* (- y x) (- y x)) 4) (* x x)) (- 0 x))
(- (/ (* (- y x) (- y x)) 4) (* x x))
(/ (* (- y x) (- y x)) 4)
(* (- y x) (- y x))
(- y x)
y
x
4
(* x x)
(- 0 x)
0
(/ (* 1/2 (* y y)) (fabs (- y x)))
(* 1/2 (* y y))
1/2
(* y y)
y
(fabs (- y x))
(- y x)
x
(/ (- (/ (* x x) 4) (* x x)) (- (/ (fabs (- y x)) 2) x))
(- (/ (* x x) 4) (* x x))
(/ (* x x) 4)
(* x x)
x
4
(- (/ (fabs (- y x)) 2) x)
(/ (fabs (- y x)) 2)
(fabs (- y x))
(- y x)
y
2

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

localize210.0ms (2.1%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 (*.f64 x x) #s(literal 4 binary64))
✓	accuracy	99.9%	(-.f64 (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) x)
✓	accuracy	77.9%	(-.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 x x))
✓	accuracy	76.0%	(/.f64 (-.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 x x)) (-.f64 (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) x))
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	100.0%	(fabs.f64 (-.f64 y x))
✓	accuracy	100.0%	(.f64 #s(literal 1/2 binary64) (.f64 y y))
✓	accuracy	74.9%	(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 y y)) (fabs.f64 (-.f64 y x)))
✓	accuracy	100.0%	(/.f64 (*.f64 (-.f64 y x) (-.f64 y x)) #s(literal 4 binary64))
✓	accuracy	100.0%	(*.f64 (-.f64 y x) (-.f64 y x))
✓	accuracy	78.4%	(-.f64 (/.f64 (.f64 (-.f64 y x) (-.f64 y x)) #s(literal 4 binary64)) (.f64 x x))
✓	accuracy	75.4%	(/.f64 (-.f64 (/.f64 (.f64 (-.f64 y x) (-.f64 y x)) #s(literal 4 binary64)) (.f64 x x)) (-.f64 #s(literal 0 binary64) x))
✓	accuracy	100.0%	(*.f64 x #s(literal 3/4 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (+.f64 x y))
✓	accuracy	99.9%	(.f64 (+.f64 x y) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (-.f64 y x)))
✓	accuracy	99.9%	(+.f64 x (/.f64 (fabs.f64 (.f64 (+.f64 x y) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (-.f64 y x)))) #s(literal 2 binary64)))
✓	accuracy	99.7%	(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (-.f64 y x))

Results

68.0ms	215×	0	valid
67.0ms	12×	5	exit
16.0ms	11×	3	valid
11.0ms	17×	1	valid
1.0ms	1×	2	valid

Compiler

Compiled 240 to 33 computations (86.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 107.0ms

ival-mult: 46.0ms (43.2% of total)

ival-div: 21.0ms (19.7% of total)

ival-add: 16.0ms (15% of total)

ival-sub: 11.0ms (10.3% of total)

backward-pass: 7.0ms (6.6% of total)

ival-fabs: 5.0ms (4.7% of total)

const: 1.0ms (0.9% of total)

series30.0ms (0.3%)

Counts

20 → 408

Calls

Call 1

Inputs
#<alt (+ x (/ (fabs (* (+ x y) (* (/ 1 (+ x y)) (- y x)))) 2))>
#<alt (/ (fabs (* (+ x y) (* (/ 1 (+ x y)) (- y x)))) 2)>
#<alt (fabs (* (+ x y) (* (/ 1 (+ x y)) (- y x))))>
#<alt (* (+ x y) (* (/ 1 (+ x y)) (- y x)))>
#<alt (* x 3/4)>
#<alt (/ (- (/ (* (- y x) (- y x)) 4) (* x x)) (- 0 x))>
#<alt (- (/ (* (- y x) (- y x)) 4) (* x x))>
#<alt (/ (* (- y x) (- y x)) 4)>
#<alt (* (- y x) (- y x))>
#<alt (/ (* 1/2 (* y y)) (fabs (- y x)))>
#<alt (* 1/2 (* y y))>
#<alt (* y y)>
#<alt (fabs (- y x))>
#<alt (/ (- (/ (* x x) 4) (* x x)) (- (/ (fabs (- y x)) 2) x))>
#<alt (- (/ (* x x) 4) (* x x))>
#<alt (/ (* x x) 4)>
#<alt (* x x)>
#<alt (* (/ 1 (+ x y)) (- y x))>
#<alt (/ 1 (+ x y))>
#<alt (- (/ (fabs (- y x)) 2) 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 (* -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))))>
#<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 (* 3/4 x)>
#<alt (* 3/4 x)>
#<alt (* 3/4 x)>
#<alt (* 3/4 x)>
#<alt (* 3/4 x)>
#<alt (* 3/4 x)>
#<alt (* 3/4 x)>
#<alt (* 3/4 x)>
#<alt (* 3/4 x)>
#<alt (* 3/4 x)>
#<alt (* 3/4 x)>
#<alt (* 3/4 x)>
#<alt (* -1 (/ (- (* 1/4 (pow x 2)) (pow x 2)) x))>
#<alt (+ (* -1 (/ (- (* 1/4 (pow x 2)) (pow x 2)) x)) (* 1/2 y))>
#<alt (+ (* -1 (/ (- (* 1/4 (pow x 2)) (pow x 2)) x)) (* y (+ 1/2 (* -1/4 (/ y x)))))>
#<alt (+ (* -1 (/ (- (* 1/4 (pow x 2)) (pow x 2)) x)) (* y (+ 1/2 (* -1/4 (/ y x)))))>
#<alt (* -1/4 (/ (pow y 2) x))>
#<alt (* (pow y 2) (- (* 1/2 (/ 1 y)) (* 1/4 (/ 1 x))))>
#<alt (* (pow y 2) (- (+ (* -1 (/ (- (* 1/4 x) x) (pow y 2))) (* 1/2 (/ 1 y))) (* 1/4 (/ 1 x))))>
#<alt (* (pow y 2) (- (+ (* -1 (/ (- (* 1/4 x) x) (pow y 2))) (* 1/2 (/ 1 y))) (* 1/4 (/ 1 x))))>
#<alt (* -1/4 (/ (pow y 2) x))>
#<alt (* (pow y 2) (- (* 1/2 (/ 1 y)) (* 1/4 (/ 1 x))))>
#<alt (* (pow y 2) (- (* -1 (/ (- (* 1/4 (/ x y)) (+ 1/2 (/ x y))) y)) (* 1/4 (/ 1 x))))>
#<alt (* (pow y 2) (- (* -1 (/ (- (* 1/4 (/ x y)) (+ 1/2 (/ x y))) y)) (* 1/4 (/ 1 x))))>
#<alt (* -1/4 (/ (pow y 2) x))>
#<alt (/ (+ (* -1/4 (pow y 2)) (* 1/2 (* x y))) x)>
#<alt (/ (+ (* -1/4 (pow y 2)) (* x (+ (* 1/2 y) (* 3/4 x)))) x)>
#<alt (/ (+ (* -1/4 (pow y 2)) (* x (+ (* 1/2 y) (* 3/4 x)))) x)>
#<alt (* 3/4 x)>
#<alt (* x (+ 3/4 (* 1/2 (/ y x))))>
#<alt (* x (+ 3/4 (+ (* -1/4 (/ (pow y 2) (pow x 2))) (* 1/2 (/ y x)))))>
#<alt (* x (+ 3/4 (+ (* -1/4 (/ (pow y 2) (pow x 2))) (* 1/2 (/ y x)))))>
#<alt (* 3/4 x)>
#<alt (* -1 (* x (- (* -1/2 (/ y x)) 3/4)))>
#<alt (* -1 (* x (- (* -1 (/ (+ (* -1/4 (/ (pow y 2) x)) (* 1/2 y)) x)) 3/4)))>
#<alt (* -1 (* x (- (* -1 (/ (+ (* -1/4 (/ (pow y 2) x)) (* 1/2 y)) x)) 3/4)))>
#<alt (- (* 1/4 (pow x 2)) (pow x 2))>
#<alt (- (+ (* -1/2 (* x y)) (* 1/4 (pow x 2))) (pow x 2))>
#<alt (- (+ (* 1/4 (pow x 2)) (* y (+ (* -1/2 x) (* 1/4 y)))) (pow x 2))>
#<alt (- (+ (* 1/4 (pow x 2)) (* y (+ (* -1/2 x) (* 1/4 y)))) (pow x 2))>
#<alt (* 1/4 (pow y 2))>
#<alt (* (pow y 2) (+ 1/4 (* -1/2 (/ x y))))>
#<alt (* (pow y 2) (- (+ 1/4 (+ (* -1/2 (/ x y)) (* 1/4 (/ (pow x 2) (pow y 2))))) (/ (pow x 2) (pow y 2))))>
#<alt (* (pow y 2) (- (+ 1/4 (+ (* -1/2 (/ x y)) (* 1/4 (/ (pow x 2) (pow y 2))))) (/ (pow x 2) (pow y 2))))>
#<alt (* 1/4 (pow y 2))>
#<alt (* (pow y 2) (+ 1/4 (* -1/2 (/ x y))))>
#<alt (* (pow y 2) (+ 1/4 (* -1 (/ (+ (* -1 (/ (- (* 1/4 (pow x 2)) (pow x 2)) y)) (* 1/2 x)) y))))>
#<alt (* (pow y 2) (+ 1/4 (* -1 (/ (+ (* -1 (/ (- (* 1/4 (pow x 2)) (pow x 2)) y)) (* 1/2 x)) y))))>
#<alt (* 1/4 (pow y 2))>
#<alt (+ (* -1/2 (* x y)) (* 1/4 (pow y 2)))>
#<alt (+ (* 1/4 (pow y 2)) (* x (+ (* -3/4 x) (* -1/2 y))))>
#<alt (+ (* 1/4 (pow y 2)) (* x (+ (* -3/4 x) (* -1/2 y))))>
#<alt (* -3/4 (pow x 2))>
#<alt (* (pow x 2) (- (* -1/2 (/ y x)) 3/4))>
#<alt (* (pow x 2) (- (+ (* -1/2 (/ y x)) (* 1/4 (/ (pow y 2) (pow x 2)))) 3/4))>
#<alt (* (pow x 2) (- (+ (* -1/2 (/ y x)) (* 1/4 (/ (pow y 2) (pow x 2)))) 3/4))>
#<alt (* -3/4 (pow x 2))>
#<alt (* (pow x 2) (- (* -1/2 (/ y x)) 3/4))>
#<alt (* (pow x 2) (- (* -1 (/ (+ (* -1/4 (/ (pow y 2) x)) (* 1/2 y)) x)) 3/4))>
#<alt (* (pow x 2) (- (* -1 (/ (+ (* -1/4 (/ (pow y 2) x)) (* 1/2 y)) x)) 3/4))>
#<alt (* 1/4 (pow x 2))>
#<alt (+ (* -1/2 (* x y)) (* 1/4 (pow x 2)))>
#<alt (+ (* 1/4 (pow x 2)) (* y (+ (* -1/2 x) (* 1/4 y))))>
#<alt (+ (* 1/4 (pow x 2)) (* y (+ (* -1/2 x) (* 1/4 y))))>
#<alt (* 1/4 (pow y 2))>
#<alt (* (pow y 2) (+ 1/4 (* -1/2 (/ x y))))>
#<alt (* (pow y 2) (+ 1/4 (+ (* -1/2 (/ x y)) (* 1/4 (/ (pow x 2) (pow y 2))))))>
#<alt (* (pow y 2) (+ 1/4 (+ (* -1/2 (/ x y)) (* 1/4 (/ (pow x 2) (pow y 2))))))>
#<alt (* 1/4 (pow y 2))>
#<alt (* (pow y 2) (+ 1/4 (* -1/2 (/ x y))))>
#<alt (* (pow y 2) (+ 1/4 (* -1 (/ (+ (* -1/4 (/ (pow x 2) y)) (* 1/2 x)) y))))>
#<alt (* (pow y 2) (+ 1/4 (* -1 (/ (+ (* -1/4 (/ (pow x 2) y)) (* 1/2 x)) y))))>
#<alt (* 1/4 (pow y 2))>
#<alt (+ (* -1/2 (* x y)) (* 1/4 (pow y 2)))>
#<alt (+ (* 1/4 (pow y 2)) (* x (+ (* -1/2 y) (* 1/4 x))))>
#<alt (+ (* 1/4 (pow y 2)) (* x (+ (* -1/2 y) (* 1/4 x))))>
#<alt (* 1/4 (pow x 2))>
#<alt (* (pow x 2) (+ 1/4 (* -1/2 (/ y x))))>
#<alt (* (pow x 2) (+ 1/4 (+ (* -1/2 (/ y x)) (* 1/4 (/ (pow y 2) (pow x 2))))))>
#<alt (* (pow x 2) (+ 1/4 (+ (* -1/2 (/ y x)) (* 1/4 (/ (pow y 2) (pow x 2))))))>
#<alt (* 1/4 (pow x 2))>
#<alt (* (pow x 2) (+ 1/4 (* -1/2 (/ y x))))>
#<alt (* (pow x 2) (+ 1/4 (* -1 (/ (+ (* -1/4 (/ (pow y 2) x)) (* 1/2 y)) x))))>
#<alt (* (pow x 2) (+ 1/4 (* -1 (/ (+ (* -1/4 (/ (pow y 2) x)) (* 1/2 y)) x))))>
#<alt (pow x 2)>
#<alt (+ (* -2 (* x y)) (pow x 2))>
#<alt (+ (* y (+ y (* -2 x))) (pow x 2))>
#<alt (+ (* y (+ y (* -2 x))) (pow x 2))>
#<alt (pow y 2)>
#<alt (* (pow y 2) (+ 1 (* -2 (/ x y))))>
#<alt (* (pow y 2) (+ 1 (+ (* -2 (/ x y)) (/ (pow x 2) (pow y 2)))))>
#<alt (* (pow y 2) (+ 1 (+ (* -2 (/ x y)) (/ (pow x 2) (pow y 2)))))>
#<alt (pow y 2)>
#<alt (* (pow y 2) (+ 1 (* -2 (/ x y))))>
#<alt (* (pow y 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow x 2) y)) (* 2 x)) y))))>
#<alt (* (pow y 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow x 2) y)) (* 2 x)) y))))>
#<alt (pow y 2)>
#<alt (+ (* -2 (* x y)) (pow y 2))>
#<alt (+ (* x (+ x (* -2 y))) (pow y 2))>
#<alt (+ (* x (+ x (* -2 y))) (pow y 2))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* -2 (/ y x))))>
#<alt (* (pow x 2) (+ 1 (+ (* -2 (/ y x)) (/ (pow y 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (+ (* -2 (/ y x)) (/ (pow y 2) (pow x 2)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* -2 (/ y x))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow y 2) x)) (* 2 y)) x))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow y 2) x)) (* 2 y)) x))))>
#<alt (* 1/2 (/ (pow y 2) (fabs (- y x))))>
#<alt (* 1/2 (/ (pow y 2) (fabs (- y x))))>
#<alt (* 1/2 (/ (pow y 2) (fabs (- y x))))>
#<alt (* 1/2 (/ (pow y 2) (fabs (- y x))))>
#<alt (* 1/2 (/ (pow y 2) (fabs (- y x))))>
#<alt (* 1/2 (/ (pow y 2) (fabs (- y x))))>
#<alt (* 1/2 (/ (pow y 2) (fabs (- y x))))>
#<alt (* 1/2 (/ (pow y 2) (fabs (- y x))))>
#<alt (* 1/2 (/ (pow y 2) (fabs (neg (+ x (* -1 y))))))>
#<alt (* 1/2 (/ (pow y 2) (fabs (neg (+ x (* -1 y))))))>
#<alt (* 1/2 (/ (pow y 2) (fabs (neg (+ x (* -1 y))))))>
#<alt (* 1/2 (/ (pow y 2) (fabs (neg (+ x (* -1 y))))))>
#<alt (* 1/2 (/ (pow y 2) (fabs (- y x))))>
#<alt (* 1/2 (/ (pow y 2) (fabs (- y x))))>
#<alt (* 1/2 (/ (pow y 2) (fabs (- y x))))>
#<alt (* 1/2 (/ (pow y 2) (fabs (- y x))))>
#<alt (* 1/2 (/ (pow y 2) (fabs (- y x))))>
#<alt (* 1/2 (/ (pow y 2) (fabs (- y x))))>
#<alt (* 1/2 (/ (pow y 2) (fabs (- y x))))>
#<alt (* 1/2 (/ (pow y 2) (fabs (- y x))))>
#<alt (* 1/2 (/ (pow y 2) (fabs (+ y (* -1 x)))))>
#<alt (* 1/2 (/ (pow y 2) (fabs (+ y (* -1 x)))))>
#<alt (* 1/2 (/ (pow y 2) (fabs (+ y (* -1 x)))))>
#<alt (* 1/2 (/ (pow y 2) (fabs (+ y (* -1 x)))))>
#<alt (* 1/2 (pow y 2))>
#<alt (* 1/2 (pow y 2))>
#<alt (* 1/2 (pow y 2))>
#<alt (* 1/2 (pow y 2))>
#<alt (* 1/2 (pow y 2))>
#<alt (* 1/2 (pow y 2))>
#<alt (* 1/2 (pow y 2))>
#<alt (* 1/2 (pow y 2))>
#<alt (* 1/2 (pow y 2))>
#<alt (* 1/2 (pow y 2))>
#<alt (* 1/2 (pow y 2))>
#<alt (* 1/2 (pow y 2))>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 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 (* -3/2 (/ (pow x 2) (fabs (- y x))))>
#<alt (* (pow x 2) (- (* -3 (/ x (pow (fabs (- y x)) 2))) (* 3/2 (/ 1 (fabs (- y x))))))>
#<alt (* (pow x 2) (- (* x (- (* -6 (/ x (pow (fabs (- y x)) 3))) (* 3 (/ 1 (pow (fabs (- y x)) 2))))) (* 3/2 (/ 1 (fabs (- y x))))))>
#<alt (* (pow x 2) (- (* x (- (* x (- (* -12 (/ x (pow (fabs (- y x)) 4))) (* 6 (/ 1 (pow (fabs (- y x)) 3))))) (* 3 (/ 1 (pow (fabs (- y x)) 2))))) (* 3/2 (/ 1 (fabs (- y x))))))>
#<alt (* 3/4 x)>
#<alt (* x (+ 3/4 (* 3/8 (/ (fabs (- y x)) x))))>
#<alt (* x (- (+ 3/4 (* 3/16 (/ (pow (fabs (- y x)) 2) (pow x 2)))) (* -3/8 (/ (fabs (- y x)) x))))>
#<alt (* x (- (+ 3/4 (* 3/32 (/ (pow (fabs (- y x)) 3) (pow x 3)))) (+ (* -3/8 (/ (fabs (- y x)) x)) (* -3/16 (/ (pow (fabs (- y x)) 2) (pow x 2))))))>
#<alt (* 3/4 x)>
#<alt (* -1 (* x (- (* -3/8 (/ (fabs (+ y (* -1 x))) x)) 3/4)))>
#<alt (* -1 (* x (- (* -1 (/ (- (* 3/16 (/ (pow (fabs (+ y (* -1 x))) 2) x)) (* -3/8 (fabs (+ y (* -1 x))))) x)) 3/4)))>
#<alt (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* -3/32 (/ (pow (fabs (+ y (* -1 x))) 3) x)) (* 3/16 (pow (fabs (+ y (* -1 x))) 2))) x)) (* -3/8 (fabs (+ y (* -1 x))))) x)) 3/4)))>
#<alt (/ (- (* 1/4 (pow x 2)) (pow x 2)) (- (* 1/2 (fabs (- y x))) x))>
#<alt (/ (- (* 1/4 (pow x 2)) (pow x 2)) (- (* 1/2 (fabs (- y x))) x))>
#<alt (/ (- (* 1/4 (pow x 2)) (pow x 2)) (- (* 1/2 (fabs (- y x))) x))>
#<alt (/ (- (* 1/4 (pow x 2)) (pow x 2)) (- (* 1/2 (fabs (- y x))) x))>
#<alt (/ (- (* 1/4 (pow x 2)) (pow x 2)) (- (* 1/2 (fabs (- y x))) x))>
#<alt (/ (- (* 1/4 (pow x 2)) (pow x 2)) (- (* 1/2 (fabs (- y x))) x))>
#<alt (/ (- (* 1/4 (pow x 2)) (pow x 2)) (- (* 1/2 (fabs (- y x))) x))>
#<alt (/ (- (* 1/4 (pow x 2)) (pow x 2)) (- (* 1/2 (fabs (- y x))) x))>
#<alt (/ (- (* 1/4 (pow x 2)) (pow x 2)) (- (* 1/2 (fabs (neg (+ x (* -1 y))))) x))>
#<alt (/ (- (* 1/4 (pow x 2)) (pow x 2)) (- (* 1/2 (fabs (neg (+ x (* -1 y))))) x))>
#<alt (/ (- (* 1/4 (pow x 2)) (pow x 2)) (- (* 1/2 (fabs (neg (+ x (* -1 y))))) x))>
#<alt (/ (- (* 1/4 (pow x 2)) (pow x 2)) (- (* 1/2 (fabs (neg (+ x (* -1 y))))) x))>
#<alt (* -3/4 (pow x 2))>
#<alt (* -3/4 (pow x 2))>
#<alt (* -3/4 (pow x 2))>
#<alt (* -3/4 (pow x 2))>
#<alt (* -3/4 (pow x 2))>
#<alt (* -3/4 (pow x 2))>
#<alt (* -3/4 (pow x 2))>
#<alt (* -3/4 (pow x 2))>
#<alt (* -3/4 (pow x 2))>
#<alt (* -3/4 (pow x 2))>
#<alt (* -3/4 (pow x 2))>
#<alt (* -3/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt 1>
#<alt (+ 1 (* -2 (/ x y)))>
#<alt (+ 1 (* x (- (* 2 (/ x (pow y 2))) (* 2 (/ 1 y)))))>
#<alt (+ 1 (* x (- (* x (+ (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))))>
#<alt -1>
#<alt (- (/ y x) (+ 1 (* -1 (/ y x))))>
#<alt (- (+ (* -1 (/ (* y (- y (* -1 y))) (pow x 2))) (/ y x)) (+ 1 (* -1 (/ y x))))>
#<alt (- (+ (/ y x) (/ (* (pow y 2) (- y (* -1 y))) (pow x 3))) (+ 1 (+ (* -1 (/ y x)) (/ (* y (- y (* -1 y))) (pow x 2)))))>
#<alt -1>
#<alt (- (* -1 (/ (- (* -1 y) y) x)) 1)>
#<alt (- (* -1 (/ (- (+ (* -1 y) (* -1 (/ (* y (- (* -1 y) y)) x))) y) x)) 1)>
#<alt (- (* -1 (/ (- (+ (* -1 y) (* -1 (/ (- (* -1 (/ (* (pow y 2) (- (* -1 y) y)) x)) (* -1 (* y (- (* -1 y) y)))) x))) y) x)) 1)>
#<alt -1>
#<alt (- (* 2 (/ y x)) 1)>
#<alt (- (* y (+ (* -2 (/ y (pow x 2))) (* 2 (/ 1 x)))) 1)>
#<alt (- (* y (+ (* y (- (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))) 1)>
#<alt 1>
#<alt (- (+ 1 (* -1 (/ x y))) (/ x y))>
#<alt (- (+ 1 (+ (* -1 (/ x y)) (* -1 (/ (* x (- (* -1 x) x)) (pow y 2))))) (/ x y))>
#<alt (- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow x 2) (- (* -1 x) x)) (pow y 3)))) (+ (/ x y) (/ (* x (- (* -1 x) x)) (pow y 2))))>
#<alt 1>
#<alt (- (+ 1 (* -1 (/ x y))) (/ x y))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- (* -1 x) x)) (/ (* x (- (* -1 x) x)) y)) y)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- (* -1 x) x)) (* -1 (/ (+ (* -1 (* x (- (* -1 x) x))) (/ (* (pow x 2) (- (* -1 x) x)) y)) y))) y)))>
#<alt (/ 1 y)>
#<alt (+ (* -1 (/ x (pow y 2))) (/ 1 y))>
#<alt (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y))>
#<alt (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* -1 (/ y x))) x)>
#<alt (/ (- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x)) x)>
#<alt (/ (- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))) x)>
#<alt (/ 1 x)>
#<alt (* -1 (/ (- (/ y x) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ (pow y 2) x) y) x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) x) (pow y 2)) x)) y) x)) 1) x))>
#<alt (/ 1 x)>
#<alt (+ (* -1 (/ y (pow x 2))) (/ 1 x))>
#<alt (+ (* y (- (/ y (pow x 3)) (/ 1 (pow x 2)))) (/ 1 x))>
#<alt (+ (* y (- (* y (+ (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x))>
#<alt (/ 1 y)>
#<alt (/ (+ 1 (* -1 (/ x y))) y)>
#<alt (/ (- (+ 1 (/ (pow x 2) (pow y 2))) (/ x y)) y)>
#<alt (/ (- (+ 1 (* -1 (/ (pow x 3) (pow y 3)))) (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y))) y)>
#<alt (/ 1 y)>
#<alt (* -1 (/ (- (/ x y) 1) y))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ (pow x 2) y) x) y)) 1) y))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y)) x) y)) 1) y))>
#<alt (- (* 1/2 (fabs (- y x))) x)>
#<alt (- (* 1/2 (fabs (- y x))) x)>
#<alt (- (* 1/2 (fabs (- y x))) x)>
#<alt (- (* 1/2 (fabs (- y x))) x)>
#<alt (- (* 1/2 (fabs (- y x))) x)>
#<alt (- (* 1/2 (fabs (- y x))) x)>
#<alt (- (* 1/2 (fabs (- y x))) x)>
#<alt (- (* 1/2 (fabs (- y x))) x)>
#<alt (- (* 1/2 (fabs (neg (+ x (* -1 y))))) x)>
#<alt (- (* 1/2 (fabs (neg (+ x (* -1 y))))) x)>
#<alt (- (* 1/2 (fabs (neg (+ x (* -1 y))))) x)>
#<alt (- (* 1/2 (fabs (neg (+ x (* -1 y))))) x)>
#<alt (* 1/2 (fabs (- y x)))>
#<alt (+ (* -1 x) (* 1/2 (fabs (- y x))))>
#<alt (+ (* -1 x) (* 1/2 (fabs (- y x))))>
#<alt (+ (* -1 x) (* 1/2 (fabs (- y x))))>
#<alt (* -1 x)>
#<alt (* x (- (* 1/2 (/ (fabs (- y x)) x)) 1))>
#<alt (* x (- (* 1/2 (/ (fabs (- y x)) x)) 1))>
#<alt (* x (- (* 1/2 (/ (fabs (- y x)) x)) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* -1/2 (/ (fabs (+ y (* -1 x))) x)))))>
#<alt (* -1 (* x (+ 1 (* -1/2 (/ (fabs (+ y (* -1 x))) x)))))>
#<alt (* -1 (* x (+ 1 (* -1/2 (/ (fabs (+ y (* -1 x))) x)))))>

Calls

102 calls:

Time	Variable		Point	Expression
6.0ms	x	@	inf	(/ (* x x) 4)
4.0ms	x	@	0	(- (/ (* x x) 4) (* x x))
1.0ms	y	@	0	(/ (- (/ (* x x) 4) (* x x)) (- (/ (fabs (- y x)) 2) x))
1.0ms	x	@	0	(/ (* 1/2 (* y y)) (fabs (- y x)))
1.0ms	y	@	0	(/ (* 1/2 (* y y)) (fabs (- y x)))

rewrite402.0ms (4.1%)

Algorithm

1×	batch-egg-rewrite

Rules

4116×	`-lowering-.f32`
4116×	`-lowering-.f64`
2864×	`/-lowering-/.f32`
2864×	`/-lowering-/.f64`
1770×	`--lowering--.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	32	168
1	210	115
2	2079	114
0	9044	114

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 967

Calls

Call 1

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

simplify579.0ms (5.9%)

Algorithm

1×	egg-herbie

Rules

3794×	`-lowering-.f32`
3794×	`-lowering-.f64`
1910×	`+-lowering-+.f64`
1910×	`+-lowering-+.f32`
1372×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	497	3677
1	1664	3228
2	4806	3102
0	8386	3102

Stop Event

1×	iter limit
1×	node limit

Counts

408 → 408

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

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

eval252.0ms (2.6%)

Compiler: Compiled 42134 to 4200 computations (90% saved)

prune228.0ms (2.3%)

Pruning

45 alts after pruning (40 fresh and 5 done)

	Pruned	Kept	Total
New	1463	36	1499
Fresh	2	4	6
Picked	3	2	5
Done	1	3	4
Total	1469	45	1514

Accuracy

100.0%

Counts

1514 → 45

Alt Table

Click to see full alt table

Status	Accuracy	Program
	2.1%	(/.f64 (/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 (-.f64 y x) (-.f64 y x)) (.f64 (-.f64 y x) (-.f64 y x))) #s(literal 16 binary64)) (+.f64 (.f64 (-.f64 y x) (/.f64 (-.f64 y x) #s(literal 4 binary64))) (.f64 x x))) (.f64 (+.f64 (.f64 (-.f64 y x) (/.f64 (-.f64 y x) #s(literal 4 binary64))) (.f64 x x)) (.f64 x (.f64 x (.f64 x x))))) (.f64 (+.f64 (.f64 (-.f64 y x) (/.f64 (-.f64 y x) #s(literal 4 binary64))) (.f64 x x)) (+.f64 (.f64 (-.f64 y x) (/.f64 (-.f64 y x) #s(literal 4 binary64))) (*.f64 x x)))) (-.f64 #s(literal 0 binary64) x))
	3.6%	(/.f64 (/.f64 (-.f64 (.f64 (.f64 (-.f64 y x) (-.f64 y x)) (.f64 x x)) (.f64 #s(literal 4 binary64) (-.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 0 binary64)))) (.f64 #s(literal 4 binary64) (*.f64 x x))) (-.f64 #s(literal 0 binary64) x))
▶	6.1%	(/.f64 (-.f64 (/.f64 (/.f64 (.f64 (-.f64 (.f64 y y) (.f64 x x)) (-.f64 y x)) (+.f64 x y)) #s(literal 4 binary64)) (.f64 x x)) (-.f64 #s(literal 0 binary64) x))
	3.9%	(/.f64 (-.f64 (/.f64 (.f64 (-.f64 y x) (-.f64 y x)) #s(literal 4 binary64)) (/.f64 (-.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 0 binary64)) (*.f64 x x))) (-.f64 #s(literal 0 binary64) x))
	2.2%	(/.f64 (-.f64 (/.f64 (.f64 (-.f64 y x) (-.f64 y x)) #s(literal 4 binary64)) (/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 0 binary64)) (+.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 #s(literal 0 binary64) (.f64 (*.f64 x x) #s(literal 0 binary64)))))) (-.f64 #s(literal 0 binary64) x))
	7.0%	(/.f64 (-.f64 (/.f64 (.f64 (-.f64 y x) (-.f64 y x)) #s(literal 4 binary64)) (.f64 (/.f64 (.f64 x x) x) (/.f64 (.f64 x x) x))) (-.f64 #s(literal 0 binary64) x))
	3.3%	(/.f64 (-.f64 (/.f64 (.f64 (.f64 (-.f64 y x) (-.f64 y x)) (.f64 (-.f64 y x) (-.f64 y x))) #s(literal 16 binary64)) (.f64 x (.f64 x (.f64 x x)))) (.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (.f64 (-.f64 y x) (/.f64 (-.f64 y x) #s(literal 4 binary64))) (*.f64 x x))))
	2.0%	(/.f64 (-.f64 (/.f64 (.f64 (.f64 (-.f64 y x) (-.f64 y x)) (.f64 (.f64 (-.f64 y x) (-.f64 y x)) (.f64 (-.f64 y x) (-.f64 y x)))) #s(literal 64 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (/.f64 (.f64 (.f64 (-.f64 y x) (-.f64 y x)) (.f64 (-.f64 y x) (-.f64 y x))) #s(literal 16 binary64)) (.f64 (.f64 x x) (+.f64 (.f64 (-.f64 y x) (/.f64 (-.f64 y x) #s(literal 4 binary64))) (.f64 x x))))))
	8.5%	(/.f64 (-.f64 (/.f64 (.f64 y y) #s(literal 4 binary64)) (.f64 x x)) (-.f64 #s(literal 0 binary64) x))
	25.1%	(/.f64 (-.f64 (/.f64 (.f64 x (+.f64 x (.f64 y #s(literal -2 binary64)))) #s(literal 4 binary64)) (*.f64 x x)) (-.f64 #s(literal 0 binary64) x))
	6.4%	(/.f64 (-.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 x x)) (-.f64 #s(literal 0 binary64) x))
	7.0%	(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (.f64 (-.f64 y x) (-.f64 y x)))) (.f64 x x)) (-.f64 #s(literal 0 binary64) x))
▶	5.9%	(/.f64 (-.f64 (.f64 (/.f64 (.f64 (-.f64 y x) (/.f64 (-.f64 y x) #s(literal 4 binary64))) x) (/.f64 (.f64 (-.f64 y x) (/.f64 (-.f64 y x) #s(literal 4 binary64))) x)) (.f64 x x)) (+.f64 (/.f64 (.f64 (-.f64 y x) (-.f64 y x)) (.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 4 binary64))) (-.f64 #s(literal 0 binary64) x)))
	6.2%	(/.f64 (-.f64 (.f64 (.f64 (-.f64 y x) (-.f64 y x)) (/.f64 (-.f64 #s(literal 0 binary64) x) (.f64 x x))) (.f64 (.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 4 binary64)) #s(literal 1 binary64))) (.f64 (.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 4 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) x) (.f64 x x))))
	6.2%	(/.f64 (-.f64 (.f64 (neg.f64 (.f64 (-.f64 y x) (/.f64 (-.f64 y x) #s(literal 4 binary64)))) (/.f64 (-.f64 #s(literal 0 binary64) x) (.f64 x x))) (.f64 x #s(literal 1 binary64))) (.f64 x (/.f64 (-.f64 #s(literal 0 binary64) x) (.f64 x x))))
	5.1%	(/.f64 (-.f64 (.f64 (neg.f64 (.f64 (-.f64 y x) (/.f64 (-.f64 y x) #s(literal 4 binary64)))) x) (.f64 x (.f64 x (-.f64 #s(literal 0 binary64) x)))) (*.f64 x x))
	35.9%	(/.f64 (-.f64 (.f64 (fabs.f64 (-.f64 y x)) (.f64 x x)) (.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))))) (.f64 #s(literal 2 binary64) (*.f64 x x)))
	68.4%	(/.f64 (-.f64 (.f64 (fabs.f64 (-.f64 y x)) x) (.f64 #s(literal 2 binary64) (.f64 x (-.f64 #s(literal 0 binary64) x)))) (.f64 #s(literal 2 binary64) x))
	4.8%	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 4 binary64) (.f64 (-.f64 y x) (-.f64 y x)))) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))))) (.f64 (.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 4 binary64) (.f64 (-.f64 y x) (-.f64 y x)))) (.f64 x x)))
	6.9%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) x) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (.f64 (-.f64 y x) (/.f64 (-.f64 y x) #s(literal 4 binary64)))) (.f64 x (-.f64 #s(literal 0 binary64) x)))) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (.f64 (-.f64 y x) (/.f64 (-.f64 y x) #s(literal 4 binary64)))) x))
	6.7%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) x) (.f64 (.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 4 binary64) (.f64 (-.f64 y x) (-.f64 y x)))) (.f64 x (-.f64 #s(literal 0 binary64) x)))) (.f64 (.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 4 binary64) (.f64 (-.f64 y x) (-.f64 y x)))) x))
	8.1%	(/.f64 (.f64 x (.f64 x #s(literal -3/4 binary64))) (-.f64 #s(literal 0 binary64) x))
✓	32.3%	(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 y y)) (fabs.f64 (-.f64 y x)))
	3.1%	(/.f64 (.f64 #s(literal -1/4 binary64) (.f64 y y)) x)
✓	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))))
▶	10.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
	7.2%	(+.f64 (/.f64 (.f64 (-.f64 y x) (-.f64 y x)) (.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 4 binary64))) x)
	11.3%	(+.f64 (.f64 x #s(literal 3/4 binary64)) (.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) #s(literal -1/4 binary64)))))
	33.3%	(+.f64 (.f64 x #s(literal 3/4 binary64)) (.f64 #s(literal 1/2 binary64) y))
✓	99.9%	(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
	51.6%	(+.f64 x (/.f64 (fabs.f64 (.f64 (+.f64 x y) (.f64 (pow.f64 (pow.f64 (+.f64 x y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (-.f64 y x)))) #s(literal 2 binary64)))
	50.3%	(+.f64 x (/.f64 (fabs.f64 (.f64 (+.f64 x y) (.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 y x)))) #s(literal 2 binary64)))
	87.4%	(+.f64 x (/.f64 (fabs.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 y x)))) #s(literal 2 binary64)))
	60.0%	(+.f64 x (/.f64 (fabs.f64 y) #s(literal 2 binary64)))
▶	98.6%	(+.f64 x (*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
	4.6%	(.f64 (/.f64 (-.f64 (.f64 (-.f64 y x) (/.f64 (-.f64 y x) #s(literal 4 binary64))) (.f64 x x)) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x)))) (.f64 x x))
	6.8%	(.f64 (/.f64 (-.f64 (.f64 (-.f64 y x) (/.f64 (-.f64 y x) #s(literal 4 binary64))) (.f64 x x)) (.f64 x (-.f64 #s(literal 0 binary64) x))) x)
	7.0%	(.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 (.f64 (-.f64 y x) (/.f64 (-.f64 y x) #s(literal 4 binary64))) (*.f64 x x)))
	11.3%	(.f64 (-.f64 #s(literal -3/4 binary64) (/.f64 (.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) #s(literal -1/4 binary64)))) x)) (-.f64 #s(literal 0 binary64) x))
▶	6.7%	(.f64 (.f64 y y) (-.f64 (/.f64 #s(literal -1/4 binary64) x) (/.f64 (+.f64 (/.f64 (*.f64 x #s(literal -3/4 binary64)) y) #s(literal -1/2 binary64)) y)))
	3.5%	(.f64 (.f64 y y) (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/4 binary64) x)))
	10.7%	(.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 y x)) (+.f64 #s(literal 3/4 binary64) (.f64 #s(literal -1/4 binary64) (.f64 y (/.f64 y (*.f64 x x)))))))
	29.6%	(.f64 x (+.f64 #s(literal 3/4 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 y x))))
✓	10.9%	(*.f64 x #s(literal 3/4 binary64))
✓	10.9%	x

Compiler

Compiled 2170 to 1081 computations (50.2% saved)

simplify255.0ms (2.6%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	128	(*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 4 binary64))
✓	cost-diff	128	(/.f64 (.f64 (-.f64 y x) (-.f64 y x)) (.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 4 binary64)))
✓	cost-diff	256	(+.f64 (/.f64 (.f64 (-.f64 y x) (-.f64 y x)) (.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 4 binary64))) (-.f64 #s(literal 0 binary64) x))
✓	cost-diff	256	(/.f64 (-.f64 (.f64 (/.f64 (.f64 (-.f64 y x) (/.f64 (-.f64 y x) #s(literal 4 binary64))) x) (/.f64 (.f64 (-.f64 y x) (/.f64 (-.f64 y x) #s(literal 4 binary64))) x)) (.f64 x x)) (+.f64 (/.f64 (.f64 (-.f64 y x) (-.f64 y x)) (.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 4 binary64))) (-.f64 #s(literal 0 binary64) x)))
✓	cost-diff	512	(/.f64 (.f64 (-.f64 (.f64 y y) (*.f64 x x)) (-.f64 y x)) (+.f64 x y))
✓	cost-diff	512	(/.f64 (/.f64 (.f64 (-.f64 (.f64 y y) (*.f64 x x)) (-.f64 y x)) (+.f64 x y)) #s(literal 4 binary64))
✓	cost-diff	512	(-.f64 (/.f64 (/.f64 (.f64 (-.f64 (.f64 y y) (.f64 x x)) (-.f64 y x)) (+.f64 x y)) #s(literal 4 binary64)) (.f64 x x))
✓	cost-diff	768	(/.f64 (-.f64 (/.f64 (/.f64 (.f64 (-.f64 (.f64 y y) (.f64 x x)) (-.f64 y x)) (+.f64 x y)) #s(literal 4 binary64)) (.f64 x x)) (-.f64 #s(literal 0 binary64) x))
✓	cost-diff	0	(/.f64 #s(literal -1/4 binary64) x)
✓	cost-diff	0	(-.f64 (/.f64 #s(literal -1/4 binary64) x) (/.f64 (+.f64 (/.f64 (*.f64 x #s(literal -3/4 binary64)) y) #s(literal -1/2 binary64)) y))
✓	cost-diff	0	(*.f64 y y)
✓	cost-diff	0	(.f64 (.f64 y y) (-.f64 (/.f64 #s(literal -1/4 binary64) x) (/.f64 (+.f64 (/.f64 (*.f64 x #s(literal -3/4 binary64)) y) #s(literal -1/2 binary64)) y)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	256	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
✓	cost-diff	12928	(pow.f64 (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
✓	cost-diff	12928	(pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64))
✓	cost-diff	25856	(*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
✓	cost-diff	25856	(+.f64 x (*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)) #s(literal 2 binary64))))

Rules

4010×	`-lowering-.f32`
4010×	`-lowering-.f64`
3868×	`+-lowering-+.f64`
3868×	`+-lowering-+.f32`
1788×	`/-lowering-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	47	355
1	127	313
2	399	309
3	1926	259
0	9005	259

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(+ x (* (pow (pow 2 -1/2) 2) (pow (pow (fabs (- y x)) 1/2) 2)))
x
(* (pow (pow 2 -1/2) 2) (pow (pow (fabs (- y x)) 1/2) 2))
(pow (pow 2 -1/2) 2)
(pow 2 -1/2)
2
-1/2
(pow (pow (fabs (- y x)) 1/2) 2)
(pow (fabs (- y x)) 1/2)
(fabs (- y x))
(- y x)
y
1/2
(/ 1 (/ 1 x))
1
(/ 1 x)
x
(* (* y y) (- (/ -1/4 x) (/ (+ (/ (* x -3/4) y) -1/2) y)))
(* y y)
y
(- (/ -1/4 x) (/ (+ (/ (* x -3/4) y) -1/2) y))
(/ -1/4 x)
-1/4
x
(/ (+ (/ (* x -3/4) y) -1/2) y)
(+ (/ (* x -3/4) y) -1/2)
(/ (* x -3/4) y)
(* x -3/4)
-3/4
-1/2
(/ (- (/ (/ (* (- (* y y) (* x x)) (- y x)) (+ x y)) 4) (* x x)) (- 0 x))
(- (/ (/ (* (- (* y y) (* x x)) (- y x)) (+ x y)) 4) (* x x))
(/ (/ (* (- (* y y) (* x x)) (- y x)) (+ x y)) 4)
(/ (* (- (* y y) (* x x)) (- y x)) (+ x y))
(* (- (* y y) (* x x)) (- y x))
(- (* y y) (* x x))
(* y y)
y
(* x x)
x
(- y x)
(+ x y)
4
(- 0 x)
0
(/ (- (* (/ (* (- y x) (/ (- y x) 4)) x) (/ (* (- y x) (/ (- y x) 4)) x)) (* x x)) (+ (/ (* (- y x) (- y x)) (* (- 0 x) 4)) (- 0 x)))
(- (* (/ (* (- y x) (/ (- y x) 4)) x) (/ (* (- y x) (/ (- y x) 4)) x)) (* x x))
(* (/ (* (- y x) (/ (- y x) 4)) x) (/ (* (- y x) (/ (- y x) 4)) x))
(/ (* (- y x) (/ (- y x) 4)) x)
(* (- y x) (/ (- y x) 4))
(- y x)
y
x
(/ (- y x) 4)
4
(* x x)
(+ (/ (* (- y x) (- y x)) (* (- 0 x) 4)) (- 0 x))
(/ (* (- y x) (- y x)) (* (- 0 x) 4))
(* (- y x) (- y x))
(* (- 0 x) 4)
(- 0 x)
0

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

localize335.0ms (3.4%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	77.6%	(-.f64 (.f64 (/.f64 (.f64 (-.f64 y x) (/.f64 (-.f64 y x) #s(literal 4 binary64))) x) (/.f64 (.f64 (-.f64 y x) (/.f64 (-.f64 y x) #s(literal 4 binary64))) x)) (.f64 x x))
✓	accuracy	74.8%	(/.f64 (.f64 (-.f64 y x) (-.f64 y x)) (.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 4 binary64)))
✓	accuracy	74.7%	(/.f64 (*.f64 (-.f64 y x) (/.f64 (-.f64 y x) #s(literal 4 binary64))) x)
✓	accuracy	45.2%	(/.f64 (-.f64 (.f64 (/.f64 (.f64 (-.f64 y x) (/.f64 (-.f64 y x) #s(literal 4 binary64))) x) (/.f64 (.f64 (-.f64 y x) (/.f64 (-.f64 y x) #s(literal 4 binary64))) x)) (.f64 x x)) (+.f64 (/.f64 (.f64 (-.f64 y x) (-.f64 y x)) (.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 4 binary64))) (-.f64 #s(literal 0 binary64) x)))
✓	accuracy	96.9%	(-.f64 (.f64 y y) (.f64 x x))
✓	accuracy	83.2%	(/.f64 (.f64 (-.f64 (.f64 y y) (*.f64 x x)) (-.f64 y x)) (+.f64 x y))
✓	accuracy	77.7%	(-.f64 (/.f64 (/.f64 (.f64 (-.f64 (.f64 y y) (.f64 x x)) (-.f64 y x)) (+.f64 x y)) #s(literal 4 binary64)) (.f64 x x))
✓	accuracy	74.7%	(/.f64 (-.f64 (/.f64 (/.f64 (.f64 (-.f64 (.f64 y y) (.f64 x x)) (-.f64 y x)) (+.f64 x y)) #s(literal 4 binary64)) (.f64 x x)) (-.f64 #s(literal 0 binary64) x))
✓	accuracy	100.0%	(-.f64 (/.f64 #s(literal -1/4 binary64) x) (/.f64 (+.f64 (/.f64 (*.f64 x #s(literal -3/4 binary64)) y) #s(literal -1/2 binary64)) y))
✓	accuracy	99.9%	(/.f64 (+.f64 (/.f64 (*.f64 x #s(literal -3/4 binary64)) y) #s(literal -1/2 binary64)) y)
✓	accuracy	99.7%	(/.f64 (*.f64 x #s(literal -3/4 binary64)) y)
✓	accuracy	71.7%	(.f64 (.f64 y y) (-.f64 (/.f64 #s(literal -1/4 binary64) x) (/.f64 (+.f64 (/.f64 (*.f64 x #s(literal -3/4 binary64)) y) #s(literal -1/2 binary64)) y)))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
✓	accuracy	100.0%	(pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))
✓	accuracy	99.9%	(+.f64 x (*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
✓	accuracy	99.2%	(pow.f64 (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
✓	accuracy	98.5%	(pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64))

Results

105.0ms	197×	0	valid
36.0ms	29×	1	valid
33.0ms	9×	5	exit
33.0ms	15×	3	valid
9.0ms	6×	2	valid

Compiler

Compiled 432 to 48 computations (88.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 137.0ms

ival-pow: 39.0ms (28.4% of total)

ival-div: 35.0ms (25.5% of total)

ival-mult: 26.0ms (18.9% of total)

ival-sub: 15.0ms (10.9% of total)

backward-pass: 11.0ms (8% of total)

ival-add: 8.0ms (5.8% of total)

const: 2.0ms (1.5% of total)

ival-fabs: 2.0ms (1.5% of total)

series50.0ms (0.5%)

Counts

24 → 492

Calls

Call 1

Inputs
#<alt (+ x (* (pow (pow 2 -1/2) 2) (pow (pow (fabs (- y x)) 1/2) 2)))>
#<alt (* (pow (pow 2 -1/2) 2) (pow (pow (fabs (- y x)) 1/2) 2))>
#<alt (pow (pow 2 -1/2) 2)>
#<alt (pow (pow (fabs (- y x)) 1/2) 2)>
#<alt (/ 1 (/ 1 x))>
#<alt (/ 1 x)>
#<alt (* (* y y) (- (/ -1/4 x) (/ (+ (/ (* x -3/4) y) -1/2) y)))>
#<alt (* y y)>
#<alt (- (/ -1/4 x) (/ (+ (/ (* x -3/4) y) -1/2) y))>
#<alt (/ -1/4 x)>
#<alt (/ (- (/ (/ (* (- (* y y) (* x x)) (- y x)) (+ x y)) 4) (* x x)) (- 0 x))>
#<alt (- (/ (/ (* (- (* y y) (* x x)) (- y x)) (+ x y)) 4) (* x x))>
#<alt (/ (/ (* (- (* y y) (* x x)) (- y x)) (+ x y)) 4)>
#<alt (/ (* (- (* y y) (* x x)) (- y x)) (+ x y))>
#<alt (/ (- (* (/ (* (- y x) (/ (- y x) 4)) x) (/ (* (- y x) (/ (- y x) 4)) x)) (* x x)) (+ (/ (* (- y x) (- y x)) (* (- 0 x) 4)) (- 0 x)))>
#<alt (+ (/ (* (- y x) (- y x)) (* (- 0 x) 4)) (- 0 x))>
#<alt (/ (* (- y x) (- y x)) (* (- 0 x) 4))>
#<alt (* (- 0 x) 4)>
#<alt (pow (fabs (- y x)) 1/2)>
#<alt (/ (* x -3/4) y)>
#<alt (/ (+ (/ (* x -3/4) y) -1/2) y)>
#<alt (- (* y y) (* x x))>
#<alt (/ (* (- y x) (/ (- y x) 4)) x)>
#<alt (- (* (/ (* (- y x) (/ (- y x) 4)) x) (/ (* (- y x) (/ (- y x) 4)) x)) (* x x))>

Outputs
#<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 (+ 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 (* (fabs (- y x)) (pow (sqrt 1/2) 2))>
#<alt (* (fabs (- y x)) (pow (sqrt 1/2) 2))>
#<alt (* (fabs (- y x)) (pow (sqrt 1/2) 2))>
#<alt (* (fabs (- y x)) (pow (sqrt 1/2) 2))>
#<alt (* (fabs (- y x)) (pow (sqrt 1/2) 2))>
#<alt (* (fabs (- y x)) (pow (sqrt 1/2) 2))>
#<alt (* (fabs (- y x)) (pow (sqrt 1/2) 2))>
#<alt (* (fabs (neg (+ x (* -1 y)))) (pow (sqrt 1/2) 2))>
#<alt (* (fabs (neg (+ x (* -1 y)))) (pow (sqrt 1/2) 2))>
#<alt (* (fabs (neg (+ x (* -1 y)))) (pow (sqrt 1/2) 2))>
#<alt (* (fabs (neg (+ x (* -1 y)))) (pow (sqrt 1/2) 2))>
#<alt (* (fabs (- y x)) (pow (sqrt 1/2) 2))>
#<alt (* (fabs (- y x)) (pow (sqrt 1/2) 2))>
#<alt (* (fabs (- y x)) (pow (sqrt 1/2) 2))>
#<alt (* (fabs (- y x)) (pow (sqrt 1/2) 2))>
#<alt (* (fabs (- y x)) (pow (sqrt 1/2) 2))>
#<alt (* (fabs (- y x)) (pow (sqrt 1/2) 2))>
#<alt (* (fabs (- y x)) (pow (sqrt 1/2) 2))>
#<alt (* (fabs (- y x)) (pow (sqrt 1/2) 2))>
#<alt (* (fabs (+ y (* -1 x))) (pow (sqrt 1/2) 2))>
#<alt (* (fabs (+ y (* -1 x))) (pow (sqrt 1/2) 2))>
#<alt (* (fabs (+ y (* -1 x))) (pow (sqrt 1/2) 2))>
#<alt (* (fabs (+ y (* -1 x))) (pow (sqrt 1/2) 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 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 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 (* 3/4 x)>
#<alt (+ (* 1/2 y) (* 3/4 x))>
#<alt (+ (* 3/4 x) (* y (+ 1/2 (* -1/4 (/ y x)))))>
#<alt (+ (* 3/4 x) (* y (+ 1/2 (* -1/4 (/ y x)))))>
#<alt (* -1/4 (/ (pow y 2) x))>
#<alt (* (pow y 2) (- (* 1/2 (/ 1 y)) (* 1/4 (/ 1 x))))>
#<alt (* (pow y 2) (- (+ (* 3/4 (/ x (pow y 2))) (* 1/2 (/ 1 y))) (* 1/4 (/ 1 x))))>
#<alt (* (pow y 2) (- (+ (* 3/4 (/ x (pow y 2))) (* 1/2 (/ 1 y))) (* 1/4 (/ 1 x))))>
#<alt (* -1/4 (/ (pow y 2) x))>
#<alt (* (pow y 2) (- (* 1/2 (/ 1 y)) (* 1/4 (/ 1 x))))>
#<alt (* (pow y 2) (- (* -1 (/ (- (* -3/4 (/ x y)) 1/2) y)) (* 1/4 (/ 1 x))))>
#<alt (* (pow y 2) (- (* -1 (/ (- (* -3/4 (/ x y)) 1/2) y)) (* 1/4 (/ 1 x))))>
#<alt (* -1/4 (/ (pow y 2) x))>
#<alt (/ (+ (* -1/4 (pow y 2)) (* 1/2 (* x y))) x)>
#<alt (/ (+ (* -1/4 (pow y 2)) (* x (+ (* 1/2 y) (* 3/4 x)))) x)>
#<alt (/ (+ (* -1/4 (pow y 2)) (* x (+ (* 1/2 y) (* 3/4 x)))) x)>
#<alt (* 3/4 x)>
#<alt (* x (+ 3/4 (* 1/2 (/ y x))))>
#<alt (* x (+ 3/4 (+ (* -1/4 (/ (pow y 2) (pow x 2))) (* 1/2 (/ y x)))))>
#<alt (* x (+ 3/4 (+ (* -1/4 (/ (pow y 2) (pow x 2))) (* 1/2 (/ y x)))))>
#<alt (* 3/4 x)>
#<alt (* -1 (* x (- (* -1/2 (/ y x)) 3/4)))>
#<alt (* -1 (* x (- (* -1 (/ (+ (* -1/4 (/ (pow y 2) x)) (* 1/2 y)) x)) 3/4)))>
#<alt (* -1 (* x (- (* -1 (/ (+ (* -1/4 (/ (pow y 2) x)) (* 1/2 y)) x)) 3/4)))>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (/ -1/4 x)>
#<alt (/ (- (* 1/2 (/ x y)) 1/4) x)>
#<alt (/ (- (* x (+ (* 3/4 (/ x (pow y 2))) (* 1/2 (/ 1 y)))) 1/4) x)>
#<alt (/ (- (* x (+ (* 3/4 (/ x (pow y 2))) (* 1/2 (/ 1 y)))) 1/4) x)>
#<alt (* 3/4 (/ x (pow y 2)))>
#<alt (* x (+ (* 1/2 (/ 1 (* x y))) (* 3/4 (/ 1 (pow y 2)))))>
#<alt (* x (- (+ (/ 1/2 (* x y)) (* 3/4 (/ 1 (pow y 2)))) (/ 1/4 (pow x 2))))>
#<alt (* x (- (+ (/ 1/2 (* x y)) (* 3/4 (/ 1 (pow y 2)))) (/ 1/4 (pow x 2))))>
#<alt (* 3/4 (/ x (pow y 2)))>
#<alt (* x (+ (* 3/4 (/ 1 (pow y 2))) (* 1/2 (/ 1 (* x y)))))>
#<alt (* -1 (* x (- (* -1 (/ (- (* 1/2 (/ 1 y)) (* 1/4 (/ 1 x))) x)) (* 3/4 (/ 1 (pow y 2))))))>
#<alt (* -1 (* x (- (* -1 (/ (- (* 1/2 (/ 1 y)) (* 1/4 (/ 1 x))) x)) (* 3/4 (/ 1 (pow y 2))))))>
#<alt (* 3/4 (/ x (pow y 2)))>
#<alt (/ (- (* 1/2 y) (* -3/4 x)) (pow y 2))>
#<alt (/ (- (* y (+ 1/2 (* -1/4 (/ y x)))) (* -3/4 x)) (pow y 2))>
#<alt (/ (- (* y (+ 1/2 (* -1/4 (/ y x)))) (* -3/4 x)) (pow y 2))>
#<alt (/ -1/4 x)>
#<alt (- (* 1/2 (/ 1 y)) (* 1/4 (/ 1 x)))>
#<alt (- (+ (* 3/4 (/ x (pow y 2))) (* 1/2 (/ 1 y))) (* 1/4 (/ 1 x)))>
#<alt (- (+ (* 3/4 (/ x (pow y 2))) (* 1/2 (/ 1 y))) (* 1/4 (/ 1 x)))>
#<alt (/ -1/4 x)>
#<alt (- (* 1/2 (/ 1 y)) (* 1/4 (/ 1 x)))>
#<alt (- (* -1 (/ (- (* -3/4 (/ x y)) 1/2) y)) (* 1/4 (/ 1 x)))>
#<alt (- (* -1 (/ (- (* -3/4 (/ x y)) 1/2) y)) (* 1/4 (/ 1 x)))>
#<alt (/ -1/4 x)>
#<alt (/ -1/4 x)>
#<alt (/ -1/4 x)>
#<alt (/ -1/4 x)>
#<alt (/ -1/4 x)>
#<alt (/ -1/4 x)>
#<alt (/ -1/4 x)>
#<alt (/ -1/4 x)>
#<alt (/ -1/4 x)>
#<alt (/ -1/4 x)>
#<alt (/ -1/4 x)>
#<alt (/ -1/4 x)>
#<alt (* -1 (/ (- (* 1/4 (pow x 2)) (pow x 2)) x))>
#<alt (+ (* -1 (/ (- (* 1/4 (pow x 2)) (pow x 2)) x)) (* -1/4 (/ (* y (- (* -1 x) x)) x)))>
#<alt (+ (* -1 (/ (- (* 1/4 (pow x 2)) (pow x 2)) x)) (* y (+ (* -1/4 (/ y x)) (* -1/4 (/ (- (* -1 x) x) x)))))>
#<alt (+ (* -1 (/ (- (* 1/4 (pow x 2)) (pow x 2)) x)) (* y (+ (* -1/4 (/ y x)) (* -1/4 (/ (- (* -1 x) x) x)))))>
#<alt (* -1/4 (/ (pow y 2) x))>
#<alt (* (pow y 2) (- (* -1/4 (/ (- (* -1 x) x) (* x y))) (* 1/4 (/ 1 x))))>
#<alt (* (pow y 2) (- (+ (* -1 (/ (- (* 1/4 (/ (- (* -1 (pow x 2)) (* x (- (* -1 x) x))) x)) x) (pow y 2))) (* -1/4 (/ (- (* -1 x) x) (* x y)))) (* 1/4 (/ 1 x))))>
#<alt (* (pow y 2) (- (+ (* -1 (/ (- (* 1/4 (/ (- (* -1 (pow x 2)) (* x (- (* -1 x) x))) x)) x) (pow y 2))) (+ (* -1/4 (/ (- (* -1 x) x) (* x y))) (* -1/4 (/ (- (pow x 3) (* x (- (* -1 (pow x 2)) (* x (- (* -1 x) x))))) (* x (pow y 3)))))) (* 1/4 (/ 1 x))))>
#<alt (* -1/4 (/ (pow y 2) x))>
#<alt (* (pow y 2) (- (* -1/4 (/ (- (* -1 x) x) (* x y))) (* 1/4 (/ 1 x))))>
#<alt (* (pow y 2) (- (* -1 (/ (- (+ (* -1/4 (/ (- (pow x 2) (* -1 (* x (- (* -1 x) x)))) (* x y))) (* 1/4 (/ (- (* -1 x) x) x))) (/ x y)) y)) (* 1/4 (/ 1 x))))>
#<alt (* (pow y 2) (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (- (* -1/4 (/ (- (pow x 2) (* -1 (* x (- (* -1 x) x)))) x)) x)) (* -1/4 (/ (- (pow x 3) (* -1 (* x (- (pow x 2) (* -1 (* x (- (* -1 x) x))))))) (* x y)))) y)) (* 1/4 (/ (- (* -1 x) x) x))) y)) (* 1/4 (/ 1 x))))>
#<alt (* -1/4 (/ (pow y 2) x))>
#<alt (/ (+ (* -1/4 (* x (- (* -1 y) y))) (* -1/4 (pow y 2))) x)>
#<alt (/ (+ (* -1/4 (pow y 2)) (* x (+ (* -1/4 (- (* -1 y) y)) (* 3/4 x)))) x)>
#<alt (/ (+ (* -1/4 (pow y 2)) (* x (+ (* -1/4 (- (* -1 y) y)) (* 3/4 x)))) x)>
#<alt (* 3/4 x)>
#<alt (* x (+ 3/4 (* -1/4 (/ (- (* -1 y) y) x))))>
#<alt (* x (+ 3/4 (+ (* -1/4 (/ (- (* -1 y) y) x)) (* -1/4 (/ (- (* -1 (pow y 2)) (* y (- (* -1 y) y))) (pow x 2))))))>
#<alt (* x (+ 3/4 (+ (* -1/4 (/ (- (* -1 y) y) x)) (+ (* -1/4 (/ (- (* -1 (pow y 2)) (* y (- (* -1 y) y))) (pow x 2))) (* -1/4 (/ (- (pow y 3) (* y (- (* -1 (pow y 2)) (* y (- (* -1 y) y))))) (pow x 3)))))))>
#<alt (* 3/4 x)>
#<alt (* -1 (* x (- (* -1/4 (/ (- y (* -1 y)) x)) 3/4)))>
#<alt (* -1 (* x (- (* -1 (/ (+ (* -1/4 (/ (- (* -1 (pow y 2)) (* -1 (* y (- y (* -1 y))))) x)) (* 1/4 (- y (* -1 y)))) x)) 3/4)))>
#<alt (* -1 (* x (- (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (- (* -1 (pow y 3)) (* -1 (* y (- (* -1 (pow y 2)) (* -1 (* y (- y (* -1 y)))))))) x)) (* 1/4 (- (* -1 (pow y 2)) (* -1 (* y (- y (* -1 y))))))) x)) (* 1/4 (- y (* -1 y)))) x)) 3/4)))>
#<alt (- (* 1/4 (pow x 2)) (pow x 2))>
#<alt (- (+ (* 1/4 (* y (- (* -1 x) x))) (* 1/4 (pow x 2))) (pow x 2))>
#<alt (- (+ (* 1/4 (pow x 2)) (* y (+ (* 1/4 y) (* 1/4 (- (* -1 x) x))))) (pow x 2))>
#<alt (- (+ (* 1/4 (pow x 2)) (* y (+ (* 1/4 y) (* 1/4 (- (* -1 x) x))))) (pow x 2))>
#<alt (* 1/4 (pow y 2))>
#<alt (* (pow y 2) (+ 1/4 (* 1/4 (/ (- (* -1 x) x) y))))>
#<alt (* (pow y 2) (- (+ 1/4 (+ (* 1/4 (/ (- (* -1 x) x) y)) (* 1/4 (/ (- (* -1 (pow x 2)) (* x (- (* -1 x) x))) (pow y 2))))) (/ (pow x 2) (pow y 2))))>
#<alt (* (pow y 2) (- (+ 1/4 (+ (* 1/4 (/ (- (* -1 x) x) y)) (+ (* 1/4 (/ (- (* -1 (pow x 2)) (* x (- (* -1 x) x))) (pow y 2))) (* 1/4 (/ (- (pow x 3) (* x (- (* -1 (pow x 2)) (* x (- (* -1 x) x))))) (pow y 3)))))) (/ (pow x 2) (pow y 2))))>
#<alt (* 1/4 (pow y 2))>
#<alt (* (pow y 2) (+ 1/4 (* 1/4 (/ (- (* -1 x) x) y))))>
#<alt (* (pow y 2) (+ 1/4 (* -1 (/ (+ (* -1 (/ (- (* -1/4 (- (pow x 2) (* -1 (* x (- (* -1 x) x))))) (pow x 2)) y)) (* -1/4 (- (* -1 x) x))) y))))>
#<alt (* (pow y 2) (+ 1/4 (* -1 (/ (+ (* -1 (/ (- (+ (* -1/4 (- (pow x 2) (* -1 (* x (- (* -1 x) x))))) (* 1/4 (/ (- (pow x 3) (* -1 (* x (- (pow x 2) (* -1 (* x (- (* -1 x) x))))))) y))) (pow x 2)) y)) (* -1/4 (- (* -1 x) x))) y))))>
#<alt (* 1/4 (pow y 2))>
#<alt (+ (* 1/4 (* x (- (* -1 y) y))) (* 1/4 (pow y 2)))>
#<alt (+ (* 1/4 (pow y 2)) (* x (+ (* -3/4 x) (* 1/4 (- (* -1 y) y)))))>
#<alt (+ (* 1/4 (pow y 2)) (* x (+ (* -3/4 x) (* 1/4 (- (* -1 y) y)))))>
#<alt (* -3/4 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/4 (/ (- (* -1 y) y) x)) 3/4))>
#<alt (* (pow x 2) (- (+ (* 1/4 (/ (- (* -1 y) y) x)) (* 1/4 (/ (- (* -1 (pow y 2)) (* y (- (* -1 y) y))) (pow x 2)))) 3/4))>
#<alt (* (pow x 2) (- (+ (* 1/4 (/ (- (* -1 y) y) x)) (+ (* 1/4 (/ (- (* -1 (pow y 2)) (* y (- (* -1 y) y))) (pow x 2))) (* 1/4 (/ (- (pow y 3) (* y (- (* -1 (pow y 2)) (* y (- (* -1 y) y))))) (pow x 3))))) 3/4))>
#<alt (* -3/4 (pow x 2))>
#<alt (* (pow x 2) (- (* -1/4 (/ (- y (* -1 y)) x)) 3/4))>
#<alt (* (pow x 2) (- (* -1 (/ (+ (* -1/4 (/ (- (* -1 (pow y 2)) (* -1 (* y (- y (* -1 y))))) x)) (* 1/4 (- y (* -1 y)))) x)) 3/4))>
#<alt (* (pow x 2) (- (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (- (* -1 (pow y 3)) (* -1 (* y (- (* -1 (pow y 2)) (* -1 (* y (- y (* -1 y)))))))) x)) (* 1/4 (- (* -1 (pow y 2)) (* -1 (* y (- y (* -1 y))))))) x)) (* 1/4 (- y (* -1 y)))) x)) 3/4))>
#<alt (* 1/4 (pow x 2))>
#<alt (+ (* 1/4 (* y (- (* -1 x) x))) (* 1/4 (pow x 2)))>
#<alt (+ (* 1/4 (pow x 2)) (* y (+ (* 1/4 y) (* 1/4 (- (* -1 x) x)))))>
#<alt (+ (* 1/4 (pow x 2)) (* y (+ (* 1/4 y) (* 1/4 (- (* -1 x) x)))))>
#<alt (* 1/4 (pow y 2))>
#<alt (* (pow y 2) (+ 1/4 (* 1/4 (/ (- (* -1 x) x) y))))>
#<alt (* (pow y 2) (+ 1/4 (+ (* 1/4 (/ (- (* -1 x) x) y)) (* 1/4 (/ (- (* -1 (pow x 2)) (* x (- (* -1 x) x))) (pow y 2))))))>
#<alt (* (pow y 2) (+ 1/4 (+ (* 1/4 (/ (- (* -1 x) x) y)) (+ (* 1/4 (/ (- (* -1 (pow x 2)) (* x (- (* -1 x) x))) (pow y 2))) (* 1/4 (/ (- (pow x 3) (* x (- (* -1 (pow x 2)) (* x (- (* -1 x) x))))) (pow y 3)))))))>
#<alt (* 1/4 (pow y 2))>
#<alt (* (pow y 2) (+ 1/4 (* 1/4 (/ (- (* -1 x) x) y))))>
#<alt (* (pow y 2) (+ 1/4 (* -1 (/ (+ (* -1/4 (- (* -1 x) x)) (* 1/4 (/ (- (pow x 2) (* -1 (* x (- (* -1 x) x)))) y))) y))))>
#<alt (* (pow y 2) (+ 1/4 (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (- (pow x 2) (* -1 (* x (- (* -1 x) x))))) (* 1/4 (/ (- (pow x 3) (* -1 (* x (- (pow x 2) (* -1 (* x (- (* -1 x) x))))))) y))) y)) (* -1/4 (- (* -1 x) x))) y))))>
#<alt (* 1/4 (pow y 2))>
#<alt (+ (* 1/4 (* x (- (* -1 y) y))) (* 1/4 (pow y 2)))>
#<alt (+ (* 1/4 (pow y 2)) (* x (+ (* 1/4 x) (* 1/4 (- (* -1 y) y)))))>
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#<alt (* (pow y 4) (- (+ (* -1/4 (/ x (pow y 3))) (+ (/ 3/8 (pow y 2)) (* 1/16 (/ 1 (pow x 2))))) (/ 1/4 (* x y))))>
#<alt (* 1/16 (/ (pow y 4) (pow x 2)))>
#<alt (* (pow y 4) (- (* 1/16 (/ 1 (pow x 2))) (* 1/4 (/ 1 (* x y)))))>
#<alt (* (pow y 4) (+ (* -1 (/ (- (* 1/4 (/ 1 x)) (* 3/8 (/ 1 y))) y)) (* 1/16 (/ 1 (pow x 2)))))>
#<alt (* (pow y 4) (+ (* -1 (/ (+ (* -1 (/ (+ 3/8 (* -1/4 (/ x y))) y)) (* 1/4 (/ 1 x))) y)) (* 1/16 (/ 1 (pow x 2)))))>
#<alt (* 1/16 (/ (pow y 4) (pow x 2)))>
#<alt (/ (+ (* -1/4 (* x (pow y 3))) (* 1/16 (pow y 4))) (pow x 2))>
#<alt (/ (+ (* 1/16 (pow y 4)) (* x (+ (* -1/4 (pow y 3)) (* 1/16 (* x (+ (* 2 (pow y 2)) (* 4 (pow y 2)))))))) (pow x 2))>
#<alt (/ (+ (* 1/16 (pow y 4)) (* x (+ (* -1/4 (pow y 3)) (* x (+ (* -1/4 (* x y)) (* 1/16 (+ (* 2 (pow y 2)) (* 4 (pow y 2))))))))) (pow x 2))>
#<alt (* -15/16 (pow x 2))>
#<alt (* (pow x 2) (- (* -1/4 (/ y x)) 15/16))>
#<alt (* (pow x 2) (- (+ (* -1/4 (/ y x)) (* 1/16 (/ (+ (* 2 (pow y 2)) (* 4 (pow y 2))) (pow x 2)))) 15/16))>
#<alt (* (pow x 2) (- (+ (* -1/4 (/ y x)) (+ (* -1/4 (/ (pow y 3) (pow x 3))) (* 1/16 (/ (+ (* 2 (pow y 2)) (* 4 (pow y 2))) (pow x 2))))) 15/16))>
#<alt (* -15/16 (pow x 2))>
#<alt (* (pow x 2) (- (* -1/4 (/ y x)) 15/16))>
#<alt (* (pow x 2) (- (* -1 (/ (+ (* -1/16 (/ (+ (* 2 (pow y 2)) (* 4 (pow y 2))) x)) (* 1/4 y)) x)) 15/16))>
#<alt (* (pow x 2) (- (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (pow y 3) x)) (* 1/16 (+ (* 2 (pow y 2)) (* 4 (pow y 2))))) x)) (* 1/4 y)) x)) 15/16))>

Calls

123 calls:

Time	Variable		Point	Expression
6.0ms	x	@	-inf	(/ 1 x)
3.0ms	y	@	inf	(* (* y y) (- (/ -1/4 x) (/ (+ (/ (* x -3/4) y) -1/2) y)))
2.0ms	y	@	0	(/ (- (* (/ (* (- y x) (/ (- y x) 4)) x) (/ (* (- y x) (/ (- y x) 4)) x)) (* x x)) (+ (/ (* (- y x) (- y x)) (* (- 0 x) 4)) (- 0 x)))
2.0ms	y	@	inf	(/ (* (- (* y y) (* x x)) (- y x)) (+ x y))
1.0ms	x	@	inf	(/ (- (* (/ (* (- y x) (/ (- y x) 4)) x) (/ (* (- y x) (/ (- y x) 4)) x)) (* x x)) (+ (/ (* (- y x) (- y x)) (* (- 0 x) 4)) (- 0 x)))

rewrite525.0ms (5.3%)

Algorithm

1×	batch-egg-rewrite

Rules

3390×	`-lowering-.f32`
3390×	`-lowering-.f64`
1810×	`/-lowering-/.f32`
1810×	`/-lowering-/.f64`
1508×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	47	237
1	360	152
2	4066	149
0	10601	149

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 1126

Calls

Call 1

Inputs
(+ x (* (pow (pow 2 -1/2) 2) (pow (pow (fabs (- y x)) 1/2) 2)))
(* (pow (pow 2 -1/2) 2) (pow (pow (fabs (- y x)) 1/2) 2))
(pow (pow 2 -1/2) 2)
(pow (pow (fabs (- y x)) 1/2) 2)
(/ 1 (/ 1 x))
(/ 1 x)
(* (* y y) (- (/ -1/4 x) (/ (+ (/ (* x -3/4) y) -1/2) y)))
(* y y)
(- (/ -1/4 x) (/ (+ (/ (* x -3/4) y) -1/2) y))
(/ -1/4 x)
(/ (- (/ (/ (* (- (* y y) (* x x)) (- y x)) (+ x y)) 4) (* x x)) (- 0 x))
(- (/ (/ (* (- (* y y) (* x x)) (- y x)) (+ x y)) 4) (* x x))
(/ (/ (* (- (* y y) (* x x)) (- y x)) (+ x y)) 4)
(/ (* (- (* y y) (* x x)) (- y x)) (+ x y))
(/ (- (* (/ (* (- y x) (/ (- y x) 4)) x) (/ (* (- y x) (/ (- y x) 4)) x)) (* x x)) (+ (/ (* (- y x) (- y x)) (* (- 0 x) 4)) (- 0 x)))
(+ (/ (* (- y x) (- y x)) (* (- 0 x) 4)) (- 0 x))
(/ (* (- y x) (- y x)) (* (- 0 x) 4))
(* (- 0 x) 4)
(pow (fabs (- y x)) 1/2)
(/ (* x -3/4) y)
(/ (+ (/ (* x -3/4) y) -1/2) y)
(- (* y y) (* x x))
(/ (* (- y x) (/ (- y x) 4)) x)
(- (* (/ (* (- y x) (/ (- y x) 4)) x) (/ (* (- y x) (/ (- y x) 4)) x)) (* x x))

Outputs
(+.f64 x (*.f64 #s(literal 1/2 binary64) (fabs.f64 (+.f64 x y))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (+.f64 x y))) x)
(-.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (+.f64 x y))) x)
(-.f64 (/.f64 (.f64 x x) (+.f64 x (.f64 #s(literal -1/2 binary64) (fabs.f64 (+.f64 x y))))) (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (+.f64 x y))) #s(literal 2 binary64)) (+.f64 x (.f64 #s(literal -1/2 binary64) (fabs.f64 (+.f64 x y))))))
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 (+.f64 x y)) x)
(fma.f64 (sqrt.f64 (fabs.f64 (+.f64 x y))) (*.f64 (sqrt.f64 (fabs.f64 (+.f64 x y))) #s(literal 1/2 binary64)) x)
(fma.f64 (fabs.f64 (+.f64 x y)) #s(literal 1/2 binary64) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 #s(literal 1/2 binary64) (fabs.f64 (+.f64 x y))))
(fma.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (sqrt.f64 (fabs.f64 (+.f64 x y)))) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (sqrt.f64 (fabs.f64 (+.f64 x y)))) x)
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fabs.f64 (+.f64 x y)))) (sqrt.f64 (fabs.f64 (+.f64 x y))) x)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x x) (.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (+.f64 x y))) (+.f64 x (.f64 #s(literal 1/2 binary64) (fabs.f64 (+.f64 x y)))))) (+.f64 (.f64 x (.f64 x x)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (+.f64 x y))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (.f64 #s(literal -1/2 binary64) (fabs.f64 (+.f64 x y)))) (-.f64 (.f64 x x) (pow.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (+.f64 x y))) #s(literal 2 binary64)))))
(/.f64 (+.f64 (.f64 x (.f64 x x)) (pow.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (+.f64 x y))) #s(literal 3 binary64))) (+.f64 (.f64 x x) (.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (+.f64 x y))) (+.f64 x (*.f64 #s(literal 1/2 binary64) (fabs.f64 (+.f64 x y)))))))
(/.f64 (+.f64 (.f64 x (.f64 x x)) (pow.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (+.f64 x y))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (+.f64 x y))) #s(literal 2 binary64)) (-.f64 (.f64 x x) (.f64 (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 (+.f64 x y))))))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (+.f64 x y))) #s(literal 2 binary64))) (+.f64 x (*.f64 #s(literal -1/2 binary64) (fabs.f64 (+.f64 x y)))))
(/.f64 (neg.f64 (+.f64 (.f64 x (.f64 x x)) (pow.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (+.f64 x y))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (.f64 x x) (.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (+.f64 x y))) (+.f64 x (*.f64 #s(literal 1/2 binary64) (fabs.f64 (+.f64 x y))))))))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (+.f64 x y))) #s(literal 2 binary64)))) (neg.f64 (+.f64 x (*.f64 #s(literal -1/2 binary64) (fabs.f64 (+.f64 x y))))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (+.f64 x y))) #s(literal 2 binary64)) (.f64 x x)) (+.f64 x (*.f64 #s(literal 1/2 binary64) (fabs.f64 (+.f64 x y)))))
(pow.f64 (/.f64 (+.f64 (.f64 x x) (.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (+.f64 x y))) (+.f64 x (.f64 #s(literal 1/2 binary64) (fabs.f64 (+.f64 x y)))))) (+.f64 (.f64 x (.f64 x x)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (+.f64 x y))) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 x (.f64 #s(literal -1/2 binary64) (fabs.f64 (+.f64 x y)))) (-.f64 (.f64 x x) (pow.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (+.f64 x y))) #s(literal 2 binary64)))) #s(literal -1 binary64))
(.f64 (+.f64 (.f64 x (.f64 x x)) (pow.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (+.f64 x y))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (+.f64 x y))) (+.f64 x (.f64 #s(literal 1/2 binary64) (fabs.f64 (+.f64 x y))))))))
(.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (+.f64 x y))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (.f64 #s(literal -1/2 binary64) (fabs.f64 (+.f64 x y))))))
(exp.f64 (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fabs.f64 (+.f64 x y)))) (*.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)))
(pow.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (sqrt.f64 (fabs.f64 (+.f64 x y)))) #s(literal 2 binary64))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (pow.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)) (sqrt.f64 (fabs.f64 (+.f64 x y)))) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (+.f64 x y)))
(.f64 (sqrt.f64 (fabs.f64 (+.f64 x y))) (.f64 (sqrt.f64 (fabs.f64 (+.f64 x y))) #s(literal 1/2 binary64)))
(*.f64 (fabs.f64 (+.f64 x y)) #s(literal 1/2 binary64))
(.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (sqrt.f64 (fabs.f64 (+.f64 x y)))) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (sqrt.f64 (fabs.f64 (+.f64 x y)))))
(.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (fabs.f64 (+.f64 x y)))) (sqrt.f64 (fabs.f64 (+.f64 x y))))
(.f64 (pow.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)) (pow.f64 (fabs.f64 (+.f64 x y)) #s(literal 1/4 binary64))) #s(literal 2 binary64)) (pow.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)) (pow.f64 (fabs.f64 (+.f64 x y)) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(.f64 (pow.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (pow.f64 (fabs.f64 (+.f64 x y)) #s(literal 1/4 binary64))) #s(literal 2 binary64)) (sqrt.f64 (fabs.f64 (+.f64 x y))))
#s(literal 1/2 binary64)
(exp.f64 (log.f64 (fabs.f64 (+.f64 x y))))
(exp.f64 (*.f64 (log.f64 (fabs.f64 (+.f64 x y))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (fabs.f64 (+.f64 x y)) (fabs.f64 (+.f64 x y)))) #s(literal 1/2 binary64)))
(fabs.f64 (+.f64 x y))
(fabs.f64 (-.f64 x y))
(fabs.f64 (neg.f64 (-.f64 x y)))
(sqrt.f64 (*.f64 (fabs.f64 (+.f64 x y)) (fabs.f64 (+.f64 x y))))
(/.f64 (fabs.f64 (+.f64 (.f64 y y) (.f64 x x))) (fabs.f64 (+.f64 x y)))
(/.f64 (fabs.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) (fabs.f64 (+.f64 (.f64 y y) (.f64 x (+.f64 x y)))))
(pow.f64 (sqrt.f64 (fabs.f64 (+.f64 x y))) #s(literal 2 binary64))
(pow.f64 (fabs.f64 (+.f64 x y)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (fabs.f64 (+.f64 x y)) #s(literal 1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (*.f64 (fabs.f64 (+.f64 x y)) (fabs.f64 (+.f64 x y))) #s(literal 1/2 binary64))
(*.f64 (sqrt.f64 (fabs.f64 (+.f64 x y))) (sqrt.f64 (fabs.f64 (+.f64 x y))))
(.f64 (pow.f64 (fabs.f64 (+.f64 x y)) #s(literal 1/4 binary64)) (.f64 (pow.f64 (fabs.f64 (+.f64 x y)) #s(literal 1/4 binary64)) (sqrt.f64 (fabs.f64 (+.f64 x y)))))
(.f64 (pow.f64 (fabs.f64 (+.f64 x y)) #s(literal 1/4 binary64)) (pow.f64 (.f64 (pow.f64 (fabs.f64 (+.f64 x y)) #s(literal 1/4 binary64)) (sqrt.f64 (fabs.f64 (+.f64 x y)))) #s(literal 1 binary64)))
(.f64 (.f64 (sqrt.f64 (fabs.f64 (+.f64 x y))) (pow.f64 (fabs.f64 (+.f64 x y)) #s(literal 1/4 binary64))) (pow.f64 (fabs.f64 (+.f64 x y)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 (sqrt.f64 (fabs.f64 (+.f64 x y))) (pow.f64 (fabs.f64 (+.f64 x y)) #s(literal 1/4 binary64))) #s(literal 1 binary64)) (pow.f64 (fabs.f64 (+.f64 x y)) #s(literal 1/4 binary64)))
x
(+.f64 x #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) x)
(exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) x)
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 x x)) x)
(-.f64 (/.f64 #s(literal 0 binary64) x) x)
(neg.f64 x)
(/.f64 x #s(literal 1 binary64))
(/.f64 x #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (.f64 x (*.f64 x x))))
(/.f64 (*.f64 x x) x)
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 (.f64 x (.f64 x x)) (*.f64 x x))
(pow.f64 x #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
(pow.f64 (/.f64 x (*.f64 x x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 x x) (.f64 x (*.f64 x x))) #s(literal -1 binary64))
(*.f64 x #s(literal 1 binary64))
(*.f64 x (/.f64 x x))
(*.f64 #s(literal 1 binary64) x)
(.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal -1 binary64) x)
(.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(*.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)))
(.f64 (/.f64 (.f64 x x) (.f64 x (.f64 x x))) (*.f64 x x))
(.f64 (/.f64 (.f64 x x) (*.f64 x x)) x)
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (.f64 x (.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))
(exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)))
(exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x))
(neg.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) x)
(pow.f64 x #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(.f64 x (/.f64 #s(literal 1 binary64) (.f64 x x)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 x x) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) x)
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 x (.f64 x x))) (.f64 x x))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) x)
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (.f64 x x))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (.f64 x (.f64 x x))) #s(literal 1 binary64)) (pow.f64 (.f64 x x) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) #s(literal 1 binary64)) x)
(.f64 (pow.f64 (/.f64 (.f64 x x) (*.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))
(+.f64 (.f64 (.f64 y y) (/.f64 #s(literal -1/4 binary64) x)) (.f64 (.f64 y y) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -3/4 binary64) (/.f64 x y))) y)))
(+.f64 (.f64 (/.f64 #s(literal -1/4 binary64) x) (.f64 y y)) (.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -3/4 binary64) (/.f64 x y))) y) (*.f64 y y)))
(/.f64 (.f64 (.f64 y y) (+.f64 (.f64 y #s(literal -1/4 binary64)) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -3/4 binary64) (/.f64 x y)))))) (.f64 x y))
(/.f64 (.f64 (.f64 y y) (-.f64 (/.f64 #s(literal 1/64 binary64) (.f64 x (.f64 x x))) (.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -3/4 binary64) (/.f64 x y))) y) (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -3/4 binary64) (/.f64 x y))) y) (/.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -3/4 binary64) (/.f64 x y)))))))) (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 x x)) (.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -3/4 binary64) (/.f64 x y))) y) (+.f64 (/.f64 #s(literal -1/4 binary64) x) (/.f64 (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -3/4 binary64) (/.f64 x y))) y)))))
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(/.f64 (neg.f64 (+.f64 (/.f64 (.f64 (/.f64 (+.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 16 binary64)) (/.f64 (+.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 16 binary64))) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x (.f64 x x))))) (+.f64 (.f64 x x) (/.f64 (.f64 (/.f64 (+.f64 (.f64 y y) (.f64 x x)) x) (/.f64 (+.f64 (.f64 y y) (*.f64 x x)) x)) #s(literal 16 binary64))))
(/.f64 (+.f64 (pow.f64 (+.f64 (.f64 x x) (/.f64 (.f64 (/.f64 (+.f64 (.f64 y y) (.f64 x x)) x) (/.f64 (+.f64 (.f64 y y) (.f64 x x)) x)) #s(literal 16 binary64))) #s(literal 3 binary64)) (pow.f64 (+.f64 (.f64 x x) (.f64 x x)) #s(literal 3 binary64))) (+.f64 (+.f64 (/.f64 (.f64 (/.f64 (+.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 16 binary64)) (/.f64 (+.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 16 binary64))) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x (.f64 x x)))) (-.f64 (.f64 (+.f64 (.f64 x x) (.f64 x x)) (+.f64 (.f64 x x) (.f64 x x))) (.f64 (+.f64 (.f64 x x) (/.f64 (.f64 (/.f64 (+.f64 (.f64 y y) (.f64 x x)) x) (/.f64 (+.f64 (.f64 y y) (.f64 x x)) x)) #s(literal 16 binary64))) (+.f64 (.f64 x x) (*.f64 x x))))))
(/.f64 (+.f64 (.f64 (/.f64 (.f64 (/.f64 (+.f64 (.f64 y y) (.f64 x x)) x) (/.f64 (+.f64 (.f64 y y) (.f64 x x)) x)) #s(literal 16 binary64)) (/.f64 (.f64 (/.f64 (+.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 16 binary64)) (/.f64 (+.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 16 binary64))) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (+.f64 (/.f64 (.f64 (/.f64 (+.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 16 binary64)) (/.f64 (+.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 16 binary64))) (.f64 x (.f64 x (.f64 x x)))) (-.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x x) (/.f64 (.f64 (/.f64 (+.f64 (.f64 y y) (.f64 x x)) x) (/.f64 (+.f64 (.f64 y y) (*.f64 x x)) x)) #s(literal 16 binary64))))))
(/.f64 (-.f64 (+.f64 (/.f64 (.f64 (/.f64 (+.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 16 binary64)) (/.f64 (+.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 16 binary64))) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (+.f64 (.f64 x x) (.f64 x x)) (+.f64 (.f64 x x) (.f64 x x)))) (-.f64 (+.f64 (.f64 x x) (/.f64 (.f64 (/.f64 (+.f64 (.f64 y y) (.f64 x x)) x) (/.f64 (+.f64 (.f64 y y) (.f64 x x)) x)) #s(literal 16 binary64))) (+.f64 (.f64 x x) (.f64 x x))))
(pow.f64 (/.f64 (+.f64 (/.f64 (.f64 (/.f64 (+.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 16 binary64)) (/.f64 (+.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 16 binary64))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (+.f64 (.f64 x x) (/.f64 (.f64 (/.f64 (+.f64 (.f64 y y) (.f64 x x)) x) (/.f64 (+.f64 (.f64 y y) (.f64 x x)) x)) #s(literal 16 binary64))))) (-.f64 (.f64 (/.f64 (.f64 (/.f64 (+.f64 (.f64 y y) (.f64 x x)) x) (/.f64 (+.f64 (.f64 y y) (.f64 x x)) x)) #s(literal 16 binary64)) (/.f64 (.f64 (/.f64 (+.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 16 binary64)) (/.f64 (+.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 16 binary64))) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (.f64 x x) (/.f64 (.f64 (/.f64 (+.f64 (.f64 y y) (.f64 x x)) x) (/.f64 (+.f64 (.f64 y y) (.f64 x x)) x)) #s(literal 16 binary64))) (+.f64 (/.f64 (.f64 (/.f64 (+.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 16 binary64)) (/.f64 (+.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 16 binary64))) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x (*.f64 x x))))) #s(literal -1 binary64))
(*.f64 (+.f64 x (/.f64 (/.f64 (+.f64 x y) (/.f64 #s(literal 4 binary64) (+.f64 x y))) x)) (+.f64 x (/.f64 (/.f64 (+.f64 x y) (/.f64 #s(literal 4 binary64) (+.f64 x y))) x)))
(.f64 #s(literal -1 binary64) (+.f64 (.f64 x x) (/.f64 (.f64 (/.f64 (+.f64 (.f64 y y) (.f64 x x)) x) (/.f64 (+.f64 (.f64 y y) (*.f64 x x)) x)) #s(literal 16 binary64))))
(.f64 (-.f64 (.f64 (/.f64 (.f64 (/.f64 (+.f64 (.f64 y y) (.f64 x x)) x) (/.f64 (+.f64 (.f64 y y) (.f64 x x)) x)) #s(literal 16 binary64)) (/.f64 (.f64 (/.f64 (+.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 16 binary64)) (/.f64 (+.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 16 binary64))) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 (/.f64 (+.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 16 binary64)) (/.f64 (+.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 16 binary64))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (+.f64 (.f64 x x) (/.f64 (.f64 (/.f64 (+.f64 (.f64 y y) (.f64 x x)) x) (/.f64 (+.f64 (.f64 y y) (.f64 x x)) x)) #s(literal 16 binary64)))))))
(.f64 (+.f64 (/.f64 (.f64 (/.f64 (+.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 16 binary64)) (/.f64 (+.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 16 binary64))) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (/.f64 (.f64 (/.f64 (+.f64 (.f64 y y) (.f64 x x)) x) (/.f64 (+.f64 (.f64 y y) (.f64 x x)) x)) #s(literal 16 binary64)))))

simplify724.0ms (7.4%)

Algorithm

1×	egg-herbie

Rules

5076×	`+-lowering-+.f64`
5076×	`+-lowering-+.f32`
4376×	`-lowering-.f32`
4376×	`-lowering-.f64`
1524×	`--lowering--.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	882	6393
1	3089	5294
0	8411	5294

Stop Event

1×	iter limit
1×	node limit

Counts

492 → 492

Calls

Call 1

Inputs
(* (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)))
(+ 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))
(* (fabs (- y x)) (pow (sqrt 1/2) 2))
(* (fabs (- y x)) (pow (sqrt 1/2) 2))
(* (fabs (- y x)) (pow (sqrt 1/2) 2))
(* (fabs (- y x)) (pow (sqrt 1/2) 2))
(* (fabs (- y x)) (pow (sqrt 1/2) 2))
(* (fabs (- y x)) (pow (sqrt 1/2) 2))
(* (fabs (- y x)) (pow (sqrt 1/2) 2))
(* (fabs (neg (+ x (* -1 y)))) (pow (sqrt 1/2) 2))
(* (fabs (neg (+ x (* -1 y)))) (pow (sqrt 1/2) 2))
(* (fabs (neg (+ x (* -1 y)))) (pow (sqrt 1/2) 2))
(* (fabs (neg (+ x (* -1 y)))) (pow (sqrt 1/2) 2))
(* (fabs (- y x)) (pow (sqrt 1/2) 2))
(* (fabs (- y x)) (pow (sqrt 1/2) 2))
(* (fabs (- y x)) (pow (sqrt 1/2) 2))
(* (fabs (- y x)) (pow (sqrt 1/2) 2))
(* (fabs (- y x)) (pow (sqrt 1/2) 2))
(* (fabs (- y x)) (pow (sqrt 1/2) 2))
(* (fabs (- y x)) (pow (sqrt 1/2) 2))
(* (fabs (- y x)) (pow (sqrt 1/2) 2))
(* (fabs (+ y (* -1 x))) (pow (sqrt 1/2) 2))
(* (fabs (+ y (* -1 x))) (pow (sqrt 1/2) 2))
(* (fabs (+ y (* -1 x))) (pow (sqrt 1/2) 2))
(* (fabs (+ y (* -1 x))) (pow (sqrt 1/2) 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)))
x
x
x
x
x
x
x
x
x
x
x
x
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(* 3/4 x)
(+ (* 1/2 y) (* 3/4 x))
(+ (* 3/4 x) (* y (+ 1/2 (* -1/4 (/ y x)))))
(+ (* 3/4 x) (* y (+ 1/2 (* -1/4 (/ y x)))))
(* -1/4 (/ (pow y 2) x))
(* (pow y 2) (- (* 1/2 (/ 1 y)) (* 1/4 (/ 1 x))))
(* (pow y 2) (- (+ (* 3/4 (/ x (pow y 2))) (* 1/2 (/ 1 y))) (* 1/4 (/ 1 x))))
(* (pow y 2) (- (+ (* 3/4 (/ x (pow y 2))) (* 1/2 (/ 1 y))) (* 1/4 (/ 1 x))))
(* -1/4 (/ (pow y 2) x))
(* (pow y 2) (- (* 1/2 (/ 1 y)) (* 1/4 (/ 1 x))))
(* (pow y 2) (- (* -1 (/ (- (* -3/4 (/ x y)) 1/2) y)) (* 1/4 (/ 1 x))))
(* (pow y 2) (- (* -1 (/ (- (* -3/4 (/ x y)) 1/2) y)) (* 1/4 (/ 1 x))))
(* -1/4 (/ (pow y 2) x))
(/ (+ (* -1/4 (pow y 2)) (* 1/2 (* x y))) x)
(/ (+ (* -1/4 (pow y 2)) (* x (+ (* 1/2 y) (* 3/4 x)))) x)
(/ (+ (* -1/4 (pow y 2)) (* x (+ (* 1/2 y) (* 3/4 x)))) x)
(* 3/4 x)
(* x (+ 3/4 (* 1/2 (/ y x))))
(* x (+ 3/4 (+ (* -1/4 (/ (pow y 2) (pow x 2))) (* 1/2 (/ y x)))))
(* x (+ 3/4 (+ (* -1/4 (/ (pow y 2) (pow x 2))) (* 1/2 (/ y x)))))
(* 3/4 x)
(* -1 (* x (- (* -1/2 (/ y x)) 3/4)))
(* -1 (* x (- (* -1 (/ (+ (* -1/4 (/ (pow y 2) x)) (* 1/2 y)) x)) 3/4)))
(* -1 (* x (- (* -1 (/ (+ (* -1/4 (/ (pow y 2) x)) (* 1/2 y)) x)) 3/4)))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(/ -1/4 x)
(/ (- (* 1/2 (/ x y)) 1/4) x)
(/ (- (* x (+ (* 3/4 (/ x (pow y 2))) (* 1/2 (/ 1 y)))) 1/4) x)
(/ (- (* x (+ (* 3/4 (/ x (pow y 2))) (* 1/2 (/ 1 y)))) 1/4) x)
(* 3/4 (/ x (pow y 2)))
(* x (+ (* 1/2 (/ 1 (* x y))) (* 3/4 (/ 1 (pow y 2)))))
(* x (- (+ (/ 1/2 (* x y)) (* 3/4 (/ 1 (pow y 2)))) (/ 1/4 (pow x 2))))
(* x (- (+ (/ 1/2 (* x y)) (* 3/4 (/ 1 (pow y 2)))) (/ 1/4 (pow x 2))))
(* 3/4 (/ x (pow y 2)))
(* x (+ (* 3/4 (/ 1 (pow y 2))) (* 1/2 (/ 1 (* x y)))))
(* -1 (* x (- (* -1 (/ (- (* 1/2 (/ 1 y)) (* 1/4 (/ 1 x))) x)) (* 3/4 (/ 1 (pow y 2))))))
(* -1 (* x (- (* -1 (/ (- (* 1/2 (/ 1 y)) (* 1/4 (/ 1 x))) x)) (* 3/4 (/ 1 (pow y 2))))))
(* 3/4 (/ x (pow y 2)))
(/ (- (* 1/2 y) (* -3/4 x)) (pow y 2))
(/ (- (* y (+ 1/2 (* -1/4 (/ y x)))) (* -3/4 x)) (pow y 2))
(/ (- (* y (+ 1/2 (* -1/4 (/ y x)))) (* -3/4 x)) (pow y 2))
(/ -1/4 x)
(- (* 1/2 (/ 1 y)) (* 1/4 (/ 1 x)))
(- (+ (* 3/4 (/ x (pow y 2))) (* 1/2 (/ 1 y))) (* 1/4 (/ 1 x)))
(- (+ (* 3/4 (/ x (pow y 2))) (* 1/2 (/ 1 y))) (* 1/4 (/ 1 x)))
(/ -1/4 x)
(- (* 1/2 (/ 1 y)) (* 1/4 (/ 1 x)))
(- (* -1 (/ (- (* -3/4 (/ x y)) 1/2) y)) (* 1/4 (/ 1 x)))
(- (* -1 (/ (- (* -3/4 (/ x y)) 1/2) y)) (* 1/4 (/ 1 x)))
(/ -1/4 x)
(/ -1/4 x)
(/ -1/4 x)
(/ -1/4 x)
(/ -1/4 x)
(/ -1/4 x)
(/ -1/4 x)
(/ -1/4 x)
(/ -1/4 x)
(/ -1/4 x)
(/ -1/4 x)
(/ -1/4 x)
(* -1 (/ (- (* 1/4 (pow x 2)) (pow x 2)) x))
(+ (* -1 (/ (- (* 1/4 (pow x 2)) (pow x 2)) x)) (* -1/4 (/ (* y (- (* -1 x) x)) x)))
(+ (* -1 (/ (- (* 1/4 (pow x 2)) (pow x 2)) x)) (* y (+ (* -1/4 (/ y x)) (* -1/4 (/ (- (* -1 x) x) x)))))
(+ (* -1 (/ (- (* 1/4 (pow x 2)) (pow x 2)) x)) (* y (+ (* -1/4 (/ y x)) (* -1/4 (/ (- (* -1 x) x) x)))))
(* -1/4 (/ (pow y 2) x))
(* (pow y 2) (- (* -1/4 (/ (- (* -1 x) x) (* x y))) (* 1/4 (/ 1 x))))
(* (pow y 2) (- (+ (* -1 (/ (- (* 1/4 (/ (- (* -1 (pow x 2)) (* x (- (* -1 x) x))) x)) x) (pow y 2))) (* -1/4 (/ (- (* -1 x) x) (* x y)))) (* 1/4 (/ 1 x))))
(* (pow y 2) (- (+ (* -1 (/ (- (* 1/4 (/ (- (* -1 (pow x 2)) (* x (- (* -1 x) x))) x)) x) (pow y 2))) (+ (* -1/4 (/ (- (* -1 x) x) (* x y))) (* -1/4 (/ (- (pow x 3) (* x (- (* -1 (pow x 2)) (* x (- (* -1 x) x))))) (* x (pow y 3)))))) (* 1/4 (/ 1 x))))
(* -1/4 (/ (pow y 2) x))
(* (pow y 2) (- (* -1/4 (/ (- (* -1 x) x) (* x y))) (* 1/4 (/ 1 x))))
(* (pow y 2) (- (* -1 (/ (- (+ (* -1/4 (/ (- (pow x 2) (* -1 (* x (- (* -1 x) x)))) (* x y))) (* 1/4 (/ (- (* -1 x) x) x))) (/ x y)) y)) (* 1/4 (/ 1 x))))
(* (pow y 2) (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (- (* -1/4 (/ (- (pow x 2) (* -1 (* x (- (* -1 x) x)))) x)) x)) (* -1/4 (/ (- (pow x 3) (* -1 (* x (- (pow x 2) (* -1 (* x (- (* -1 x) x))))))) (* x y)))) y)) (* 1/4 (/ (- (* -1 x) x) x))) y)) (* 1/4 (/ 1 x))))
(* -1/4 (/ (pow y 2) x))
(/ (+ (* -1/4 (* x (- (* -1 y) y))) (* -1/4 (pow y 2))) x)
(/ (+ (* -1/4 (pow y 2)) (* x (+ (* -1/4 (- (* -1 y) y)) (* 3/4 x)))) x)
(/ (+ (* -1/4 (pow y 2)) (* x (+ (* -1/4 (- (* -1 y) y)) (* 3/4 x)))) x)
(* 3/4 x)
(* x (+ 3/4 (* -1/4 (/ (- (* -1 y) y) x))))
(* x (+ 3/4 (+ (* -1/4 (/ (- (* -1 y) y) x)) (* -1/4 (/ (- (* -1 (pow y 2)) (* y (- (* -1 y) y))) (pow x 2))))))
(* x (+ 3/4 (+ (* -1/4 (/ (- (* -1 y) y) x)) (+ (* -1/4 (/ (- (* -1 (pow y 2)) (* y (- (* -1 y) y))) (pow x 2))) (* -1/4 (/ (- (pow y 3) (* y (- (* -1 (pow y 2)) (* y (- (* -1 y) y))))) (pow x 3)))))))
(* 3/4 x)
(* -1 (* x (- (* -1/4 (/ (- y (* -1 y)) x)) 3/4)))
(* -1 (* x (- (* -1 (/ (+ (* -1/4 (/ (- (* -1 (pow y 2)) (* -1 (* y (- y (* -1 y))))) x)) (* 1/4 (- y (* -1 y)))) x)) 3/4)))
(* -1 (* x (- (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (- (* -1 (pow y 3)) (* -1 (* y (- (* -1 (pow y 2)) (* -1 (* y (- y (* -1 y)))))))) x)) (* 1/4 (- (* -1 (pow y 2)) (* -1 (* y (- y (* -1 y))))))) x)) (* 1/4 (- y (* -1 y)))) x)) 3/4)))
(- (* 1/4 (pow x 2)) (pow x 2))
(- (+ (* 1/4 (* y (- (* -1 x) x))) (* 1/4 (pow x 2))) (pow x 2))
(- (+ (* 1/4 (pow x 2)) (* y (+ (* 1/4 y) (* 1/4 (- (* -1 x) x))))) (pow x 2))
(- (+ (* 1/4 (pow x 2)) (* y (+ (* 1/4 y) (* 1/4 (- (* -1 x) x))))) (pow x 2))
(* 1/4 (pow y 2))
(* (pow y 2) (+ 1/4 (* 1/4 (/ (- (* -1 x) x) y))))
(* (pow y 2) (- (+ 1/4 (+ (* 1/4 (/ (- (* -1 x) x) y)) (* 1/4 (/ (- (* -1 (pow x 2)) (* x (- (* -1 x) x))) (pow y 2))))) (/ (pow x 2) (pow y 2))))
(* (pow y 2) (- (+ 1/4 (+ (* 1/4 (/ (- (* -1 x) x) y)) (+ (* 1/4 (/ (- (* -1 (pow x 2)) (* x (- (* -1 x) x))) (pow y 2))) (* 1/4 (/ (- (pow x 3) (* x (- (* -1 (pow x 2)) (* x (- (* -1 x) x))))) (pow y 3)))))) (/ (pow x 2) (pow y 2))))
(* 1/4 (pow y 2))
(* (pow y 2) (+ 1/4 (* 1/4 (/ (- (* -1 x) x) y))))
(* (pow y 2) (+ 1/4 (* -1 (/ (+ (* -1 (/ (- (* -1/4 (- (pow x 2) (* -1 (* x (- (* -1 x) x))))) (pow x 2)) y)) (* -1/4 (- (* -1 x) x))) y))))
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(* -1 (* x (- (* -1 (/ (+ (* -1/2 y) (* 1/4 (/ (pow y 2) x))) x)) 1/4)))
(- (* 1/16 (pow x 2)) (pow x 2))
(- (+ (* -1/4 (* x y)) (* 1/16 (pow x 2))) (pow x 2))
(- (+ (* 1/16 (pow x 2)) (* y (+ (* -1/4 x) (* 3/8 y)))) (pow x 2))
(- (+ (* 1/16 (pow x 2)) (* y (+ (* -1/4 x) (* y (+ 3/8 (* -1/4 (/ y x))))))) (pow x 2))
(* 1/16 (/ (pow y 4) (pow x 2)))
(* (pow y 4) (- (* 1/16 (/ 1 (pow x 2))) (* 1/4 (/ 1 (* x y)))))
(* (pow y 4) (- (+ (/ 3/8 (pow y 2)) (* 1/16 (/ 1 (pow x 2)))) (/ 1/4 (* x y))))
(* (pow y 4) (- (+ (* -1/4 (/ x (pow y 3))) (+ (/ 3/8 (pow y 2)) (* 1/16 (/ 1 (pow x 2))))) (/ 1/4 (* x y))))
(* 1/16 (/ (pow y 4) (pow x 2)))
(* (pow y 4) (- (* 1/16 (/ 1 (pow x 2))) (* 1/4 (/ 1 (* x y)))))
(* (pow y 4) (+ (* -1 (/ (- (* 1/4 (/ 1 x)) (* 3/8 (/ 1 y))) y)) (* 1/16 (/ 1 (pow x 2)))))
(* (pow y 4) (+ (* -1 (/ (+ (* -1 (/ (+ 3/8 (* -1/4 (/ x y))) y)) (* 1/4 (/ 1 x))) y)) (* 1/16 (/ 1 (pow x 2)))))
(* 1/16 (/ (pow y 4) (pow x 2)))
(/ (+ (* -1/4 (* x (pow y 3))) (* 1/16 (pow y 4))) (pow x 2))
(/ (+ (* 1/16 (pow y 4)) (* x (+ (* -1/4 (pow y 3)) (* 1/16 (* x (+ (* 2 (pow y 2)) (* 4 (pow y 2)))))))) (pow x 2))
(/ (+ (* 1/16 (pow y 4)) (* x (+ (* -1/4 (pow y 3)) (* x (+ (* -1/4 (* x y)) (* 1/16 (+ (* 2 (pow y 2)) (* 4 (pow y 2))))))))) (pow x 2))
(* -15/16 (pow x 2))
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(* (pow x 2) (- (+ (* -1/4 (/ y x)) (+ (* -1/4 (/ (pow y 3) (pow x 3))) (* 1/16 (/ (+ (* 2 (pow y 2)) (* 4 (pow y 2))) (pow x 2))))) 15/16))
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Outputs
(* (fabs (- y x)) (pow (sqrt 1/2) 2))
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x
(* x (+ 1 (/ (* (fabs (- y x)) (pow (sqrt 1/2) 2)) x)))
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(* (fabs (- y x)) (pow (sqrt 1/2) 2))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))
(* (fabs (neg (+ x (* -1 y)))) (pow (sqrt 1/2) 2))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))
(* (fabs (neg (+ x (* -1 y)))) (pow (sqrt 1/2) 2))
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(* (fabs (- y x)) (pow (sqrt 1/2) 2))
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x
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x
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(/ 1 x)
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(* 3/4 x)
(*.f64 x #s(literal 3/4 binary64))
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(+ (* 3/4 x) (* y (+ 1/2 (* -1/4 (/ y x)))))
(+.f64 (.f64 x #s(literal 3/4 binary64)) (.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 y x)))))
(+ (* 3/4 x) (* y (+ 1/2 (* -1/4 (/ y x)))))
(+.f64 (.f64 x #s(literal 3/4 binary64)) (.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 y x)))))
(* -1/4 (/ (pow y 2) x))
(/.f64 (.f64 #s(literal -1/4 binary64) (.f64 y y)) x)
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(.f64 (.f64 y y) (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/4 binary64) x)))
(* (pow y 2) (- (+ (* 3/4 (/ x (pow y 2))) (* 1/2 (/ 1 y))) (* 1/4 (/ 1 x))))
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(* (pow y 2) (- (+ (* 3/4 (/ x (pow y 2))) (* 1/2 (/ 1 y))) (* 1/4 (/ 1 x))))
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(* -3/4 (/ x y))
(/.f64 (*.f64 x #s(literal -3/4 binary64)) y)
(* -3/4 (/ x y))
(/.f64 (*.f64 x #s(literal -3/4 binary64)) y)
(* -3/4 (/ x y))
(/.f64 (*.f64 x #s(literal -3/4 binary64)) y)
(* -3/4 (/ x y))
(/.f64 (*.f64 x #s(literal -3/4 binary64)) y)
(* -3/4 (/ x y))
(/.f64 (*.f64 x #s(literal -3/4 binary64)) y)
(/ -1/2 y)
(/.f64 #s(literal -1/2 binary64) y)
(- (* -3/4 (/ x (pow y 2))) (* 1/2 (/ 1 y)))
(+.f64 (.f64 (/.f64 x (.f64 y y)) #s(literal -3/4 binary64)) (/.f64 #s(literal -1/2 binary64) y))
(- (* -3/4 (/ x (pow y 2))) (* 1/2 (/ 1 y)))
(+.f64 (.f64 (/.f64 x (.f64 y y)) #s(literal -3/4 binary64)) (/.f64 #s(literal -1/2 binary64) y))
(- (* -3/4 (/ x (pow y 2))) (* 1/2 (/ 1 y)))
(+.f64 (.f64 (/.f64 x (.f64 y y)) #s(literal -3/4 binary64)) (/.f64 #s(literal -1/2 binary64) y))
(* -3/4 (/ x (pow y 2)))
(.f64 (/.f64 x (.f64 y y)) #s(literal -3/4 binary64))
(* -1 (* x (+ (* 1/2 (/ 1 (* x y))) (* 3/4 (/ 1 (pow y 2))))))
(.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y x)) (/.f64 #s(literal 3/4 binary64) (*.f64 y y))) (-.f64 #s(literal 0 binary64) x))
(* -1 (* x (+ (* 1/2 (/ 1 (* x y))) (* 3/4 (/ 1 (pow y 2))))))
(.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y x)) (/.f64 #s(literal 3/4 binary64) (*.f64 y y))) (-.f64 #s(literal 0 binary64) x))
(* -1 (* x (+ (* 1/2 (/ 1 (* x y))) (* 3/4 (/ 1 (pow y 2))))))
(.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y x)) (/.f64 #s(literal 3/4 binary64) (*.f64 y y))) (-.f64 #s(literal 0 binary64) x))
(* -3/4 (/ x (pow y 2)))
(.f64 (/.f64 x (.f64 y y)) #s(literal -3/4 binary64))
(* -1 (* x (+ (* 1/2 (/ 1 (* x y))) (* 3/4 (/ 1 (pow y 2))))))
(.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y x)) (/.f64 #s(literal 3/4 binary64) (*.f64 y y))) (-.f64 #s(literal 0 binary64) x))
(* -1 (* x (+ (* 1/2 (/ 1 (* x y))) (* 3/4 (/ 1 (pow y 2))))))
(.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y x)) (/.f64 #s(literal 3/4 binary64) (*.f64 y y))) (-.f64 #s(literal 0 binary64) x))
(* -1 (* x (+ (* 1/2 (/ 1 (* x y))) (* 3/4 (/ 1 (pow y 2))))))
(.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y x)) (/.f64 #s(literal 3/4 binary64) (*.f64 y y))) (-.f64 #s(literal 0 binary64) x))
(* -3/4 (/ x (pow y 2)))
(.f64 (/.f64 x (.f64 y y)) #s(literal -3/4 binary64))
(/ (+ (* -3/4 x) (* -1/2 y)) (pow y 2))
(/.f64 (+.f64 (.f64 x #s(literal -3/4 binary64)) (.f64 y #s(literal -1/2 binary64))) (*.f64 y y))
(/ (+ (* -3/4 x) (* -1/2 y)) (pow y 2))
(/.f64 (+.f64 (.f64 x #s(literal -3/4 binary64)) (.f64 y #s(literal -1/2 binary64))) (*.f64 y y))
(/ (+ (* -3/4 x) (* -1/2 y)) (pow y 2))
(/.f64 (+.f64 (.f64 x #s(literal -3/4 binary64)) (.f64 y #s(literal -1/2 binary64))) (*.f64 y y))
(/ -1/2 y)
(/.f64 #s(literal -1/2 binary64) y)
(/ (- (* -3/4 (/ x y)) 1/2) y)
(/.f64 (+.f64 (/.f64 (*.f64 x #s(literal -3/4 binary64)) y) #s(literal -1/2 binary64)) y)
(/ (- (* -3/4 (/ x y)) 1/2) y)
(/.f64 (+.f64 (/.f64 (*.f64 x #s(literal -3/4 binary64)) y) #s(literal -1/2 binary64)) y)
(/ (- (* -3/4 (/ x y)) 1/2) y)
(/.f64 (+.f64 (/.f64 (*.f64 x #s(literal -3/4 binary64)) y) #s(literal -1/2 binary64)) y)
(/ -1/2 y)
(/.f64 #s(literal -1/2 binary64) y)
(* -1 (/ (+ 1/2 (* 3/4 (/ x y))) y))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x #s(literal 3/4 binary64)) y)) y))
(* -1 (/ (+ 1/2 (* 3/4 (/ x y))) y))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x #s(literal 3/4 binary64)) y)) y))
(* -1 (/ (+ 1/2 (* 3/4 (/ x y))) y))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x #s(literal 3/4 binary64)) y)) y))
(* -1 (pow x 2))
(-.f64 #s(literal 0 binary64) (*.f64 x x))
(- (pow y 2) (pow x 2))
(-.f64 (.f64 y y) (.f64 x x))
(- (pow y 2) (pow x 2))
(-.f64 (.f64 y y) (.f64 x x))
(- (pow y 2) (pow x 2))
(-.f64 (.f64 y y) (.f64 x x))
(pow y 2)
(*.f64 y y)
(* (pow y 2) (+ 1 (* -1 (/ (pow x 2) (pow y 2)))))
(.f64 (.f64 y y) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (.f64 y y))))
(* (pow y 2) (+ 1 (* -1 (/ (pow x 2) (pow y 2)))))
(.f64 (.f64 y y) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (.f64 y y))))
(* (pow y 2) (+ 1 (* -1 (/ (pow x 2) (pow y 2)))))
(.f64 (.f64 y y) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (.f64 y y))))
(pow y 2)
(*.f64 y y)
(* (pow y 2) (+ 1 (* -1 (/ (pow x 2) (pow y 2)))))
(.f64 (.f64 y y) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (.f64 y y))))
(* (pow y 2) (+ 1 (* -1 (/ (pow x 2) (pow y 2)))))
(.f64 (.f64 y y) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (.f64 y y))))
(* (pow y 2) (+ 1 (* -1 (/ (pow x 2) (pow y 2)))))
(.f64 (.f64 y y) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (.f64 y y))))
(pow y 2)
(*.f64 y y)
(+ (* -1 (pow x 2)) (pow y 2))
(-.f64 (.f64 y y) (.f64 x x))
(+ (* -1 (pow x 2)) (pow y 2))
(-.f64 (.f64 y y) (.f64 x x))
(+ (* -1 (pow x 2)) (pow y 2))
(-.f64 (.f64 y y) (.f64 x x))
(* -1 (pow x 2))
(-.f64 #s(literal 0 binary64) (*.f64 x x))
(* (pow x 2) (- (/ (pow y 2) (pow x 2)) 1))
(.f64 (.f64 x x) (+.f64 (/.f64 (.f64 y y) (.f64 x x)) #s(literal -1 binary64)))
(* (pow x 2) (- (/ (pow y 2) (pow x 2)) 1))
(.f64 (.f64 x x) (+.f64 (/.f64 (.f64 y y) (.f64 x x)) #s(literal -1 binary64)))
(* (pow x 2) (- (/ (pow y 2) (pow x 2)) 1))
(.f64 (.f64 x x) (+.f64 (/.f64 (.f64 y y) (.f64 x x)) #s(literal -1 binary64)))
(* -1 (pow x 2))
(-.f64 #s(literal 0 binary64) (*.f64 x x))
(* (pow x 2) (- (/ (pow y 2) (pow x 2)) 1))
(.f64 (.f64 x x) (+.f64 (/.f64 (.f64 y y) (.f64 x x)) #s(literal -1 binary64)))
(* (pow x 2) (- (/ (pow y 2) (pow x 2)) 1))
(.f64 (.f64 x x) (+.f64 (/.f64 (.f64 y y) (.f64 x x)) #s(literal -1 binary64)))
(* (pow x 2) (- (/ (pow y 2) (pow x 2)) 1))
(.f64 (.f64 x x) (+.f64 (/.f64 (.f64 y y) (.f64 x x)) #s(literal -1 binary64)))
(* 1/4 x)
(*.f64 x #s(literal 1/4 binary64))
(+ (* -1/2 y) (* 1/4 x))
(+.f64 (.f64 x #s(literal 1/4 binary64)) (.f64 y #s(literal -1/2 binary64)))
(+ (* 1/4 x) (* y (- (* 1/4 (/ y x)) 1/2)))
(+.f64 (.f64 x #s(literal 1/4 binary64)) (.f64 y (+.f64 (/.f64 (*.f64 y #s(literal 1/4 binary64)) x) #s(literal -1/2 binary64))))
(+ (* 1/4 x) (* y (- (* 1/4 (/ y x)) 1/2)))
(+.f64 (.f64 x #s(literal 1/4 binary64)) (.f64 y (+.f64 (/.f64 (*.f64 y #s(literal 1/4 binary64)) x) #s(literal -1/2 binary64))))
(* 1/4 (/ (pow y 2) x))
(/.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) x)
(* (pow y 2) (- (* 1/4 (/ 1 x)) (* 1/2 (/ 1 y))))
(.f64 (.f64 y y) (+.f64 (/.f64 #s(literal 1/4 binary64) x) (/.f64 #s(literal -1/2 binary64) y)))
(* (pow y 2) (- (+ (* 1/4 (/ x (pow y 2))) (* 1/4 (/ 1 x))) (* 1/2 (/ 1 y))))
(.f64 (.f64 y y) (+.f64 (/.f64 #s(literal 1/4 binary64) x) (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 x (.f64 y y))) (/.f64 #s(literal -1/2 binary64) y))))
(* (pow y 2) (- (+ (* 1/4 (/ x (pow y 2))) (* 1/4 (/ 1 x))) (* 1/2 (/ 1 y))))
(.f64 (.f64 y y) (+.f64 (/.f64 #s(literal 1/4 binary64) x) (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 x (.f64 y y))) (/.f64 #s(literal -1/2 binary64) y))))
(* 1/4 (/ (pow y 2) x))
(/.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) x)
(* (pow y 2) (- (* 1/4 (/ 1 x)) (* 1/2 (/ 1 y))))
(.f64 (.f64 y y) (+.f64 (/.f64 #s(literal 1/4 binary64) x) (/.f64 #s(literal -1/2 binary64) y)))
(* (pow y 2) (+ (* -1 (/ (+ 1/2 (* -1/4 (/ x y))) y)) (* 1/4 (/ 1 x))))
(.f64 (.f64 y y) (-.f64 (/.f64 #s(literal 1/4 binary64) x) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x #s(literal -1/4 binary64)) y)) y)))
(* (pow y 2) (+ (* -1 (/ (+ 1/2 (* -1/4 (/ x y))) y)) (* 1/4 (/ 1 x))))
(.f64 (.f64 y y) (-.f64 (/.f64 #s(literal 1/4 binary64) x) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x #s(literal -1/4 binary64)) y)) y)))
(* 1/4 (/ (pow y 2) x))
(/.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) x)
(/ (+ (* -1/2 (* x y)) (* 1/4 (pow y 2))) x)
(/.f64 (+.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) (.f64 (.f64 y x) #s(literal -1/2 binary64))) x)
(/ (+ (* 1/4 (pow y 2)) (* x (+ (* -1/2 y) (* 1/4 x)))) x)
(/.f64 (+.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) (.f64 x (+.f64 (.f64 x #s(literal 1/4 binary64)) (*.f64 y #s(literal -1/2 binary64))))) x)
(/ (+ (* 1/4 (pow y 2)) (* x (+ (* -1/2 y) (* 1/4 x)))) x)
(/.f64 (+.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) (.f64 x (+.f64 (.f64 x #s(literal 1/4 binary64)) (*.f64 y #s(literal -1/2 binary64))))) x)
(* 1/4 x)
(*.f64 x #s(literal 1/4 binary64))
(* x (+ 1/4 (* -1/2 (/ y x))))
(.f64 x (+.f64 #s(literal 1/4 binary64) (/.f64 (.f64 y #s(literal -1/2 binary64)) x)))
(* x (+ 1/4 (+ (* -1/2 (/ y x)) (* 1/4 (/ (pow y 2) (pow x 2))))))
(.f64 x (+.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (.f64 y #s(literal -1/2 binary64)) x) (/.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) (*.f64 x x)))))
(* x (+ 1/4 (+ (* -1/2 (/ y x)) (* 1/4 (/ (pow y 2) (pow x 2))))))
(.f64 x (+.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (.f64 y #s(literal -1/2 binary64)) x) (/.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) (*.f64 x x)))))
(* 1/4 x)
(*.f64 x #s(literal 1/4 binary64))
(* -1 (* x (- (* 1/2 (/ y x)) 1/4)))
(.f64 (+.f64 (/.f64 (.f64 y #s(literal 1/2 binary64)) x) #s(literal -1/4 binary64)) (-.f64 #s(literal 0 binary64) x))
(* -1 (* x (- (* -1 (/ (+ (* -1/2 y) (* 1/4 (/ (pow y 2) x))) x)) 1/4)))
(.f64 (+.f64 (/.f64 (+.f64 (/.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) x) (.f64 y #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) x)) #s(literal -1/4 binary64)) (-.f64 #s(literal 0 binary64) x))
(* -1 (* x (- (* -1 (/ (+ (* -1/2 y) (* 1/4 (/ (pow y 2) x))) x)) 1/4)))
(.f64 (+.f64 (/.f64 (+.f64 (/.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) x) (.f64 y #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) x)) #s(literal -1/4 binary64)) (-.f64 #s(literal 0 binary64) x))
(- (* 1/16 (pow x 2)) (pow x 2))
(.f64 (.f64 x x) #s(literal -15/16 binary64))
(- (+ (* -1/4 (* x y)) (* 1/16 (pow x 2))) (pow x 2))
(+.f64 (.f64 #s(literal -1/4 binary64) (.f64 y x)) (.f64 (.f64 x x) #s(literal -15/16 binary64)))
(- (+ (* 1/16 (pow x 2)) (* y (+ (* -1/4 x) (* 3/8 y)))) (pow x 2))
(+.f64 (.f64 y (+.f64 (.f64 x #s(literal -1/4 binary64)) (.f64 y #s(literal 3/8 binary64)))) (.f64 (*.f64 x x) #s(literal -15/16 binary64)))
(- (+ (* 1/16 (pow x 2)) (* y (+ (* -1/4 x) (* y (+ 3/8 (* -1/4 (/ y x))))))) (pow x 2))
(+.f64 (.f64 y (+.f64 (.f64 x #s(literal -1/4 binary64)) (.f64 y (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 y x)) #s(literal 3/8 binary64))))) (.f64 (.f64 x x) #s(literal -15/16 binary64)))
(* 1/16 (/ (pow y 4) (pow x 2)))
(/.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 y #s(literal 4 binary64))) (.f64 x x))
(* (pow y 4) (- (* 1/16 (/ 1 (pow x 2))) (* 1/4 (/ 1 (* x y)))))
(.f64 (pow.f64 y #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 x x)) (/.f64 #s(literal -1/4 binary64) (*.f64 y x))))
(* (pow y 4) (- (+ (/ 3/8 (pow y 2)) (* 1/16 (/ 1 (pow x 2)))) (/ 1/4 (* x y))))
(.f64 (pow.f64 y #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 x x)) (-.f64 (/.f64 #s(literal 3/8 binary64) (.f64 y y)) (/.f64 #s(literal 1/4 binary64) (.f64 y x)))))
(* (pow y 4) (- (+ (* -1/4 (/ x (pow y 3))) (+ (/ 3/8 (pow y 2)) (* 1/16 (/ 1 (pow x 2))))) (/ 1/4 (* x y))))
(.f64 (pow.f64 y #s(literal 4 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 x x)) (/.f64 #s(literal 3/8 binary64) (.f64 y y))) (+.f64 (/.f64 (.f64 x #s(literal -1/4 binary64)) (.f64 y (.f64 y y))) (/.f64 #s(literal -1/4 binary64) (*.f64 y x)))))
(* 1/16 (/ (pow y 4) (pow x 2)))
(/.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 y #s(literal 4 binary64))) (.f64 x x))
(* (pow y 4) (- (* 1/16 (/ 1 (pow x 2))) (* 1/4 (/ 1 (* x y)))))
(.f64 (pow.f64 y #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 x x)) (/.f64 #s(literal -1/4 binary64) (*.f64 y x))))
(* (pow y 4) (+ (* -1 (/ (- (* 1/4 (/ 1 x)) (* 3/8 (/ 1 y))) y)) (* 1/16 (/ 1 (pow x 2)))))
(.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 1/16 binary64) (.f64 x x)) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) (/.f64 #s(literal -3/8 binary64) y)) y)))
(* (pow y 4) (+ (* -1 (/ (+ (* -1 (/ (+ 3/8 (* -1/4 (/ x y))) y)) (* 1/4 (/ 1 x))) y)) (* 1/16 (/ 1 (pow x 2)))))
(.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 1/16 binary64) (.f64 x x)) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) (/.f64 (+.f64 #s(literal 3/8 binary64) (/.f64 (*.f64 x #s(literal -1/4 binary64)) y)) y)) y)))
(* 1/16 (/ (pow y 4) (pow x 2)))
(/.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 y #s(literal 4 binary64))) (.f64 x x))
(/ (+ (* -1/4 (* x (pow y 3))) (* 1/16 (pow y 4))) (pow x 2))
(/.f64 (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 x (.f64 y (.f64 y y)))) (.f64 #s(literal 1/16 binary64) (pow.f64 y #s(literal 4 binary64)))) (.f64 x x))
(/ (+ (* 1/16 (pow y 4)) (* x (+ (* -1/4 (pow y 3)) (* 1/16 (* x (+ (* 2 (pow y 2)) (* 4 (pow y 2)))))))) (pow x 2))
(/.f64 (+.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 y #s(literal 4 binary64))) (.f64 x (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 y (.f64 y y))) (.f64 #s(literal 1/16 binary64) (.f64 x (.f64 (.f64 y y) #s(literal 6 binary64))))))) (.f64 x x))
(/ (+ (* 1/16 (pow y 4)) (* x (+ (* -1/4 (pow y 3)) (* x (+ (* -1/4 (* x y)) (* 1/16 (+ (* 2 (pow y 2)) (* 4 (pow y 2))))))))) (pow x 2))
(/.f64 (+.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 y #s(literal 4 binary64))) (.f64 x (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 y (.f64 y y))) (.f64 x (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 y x)) (.f64 #s(literal 1/16 binary64) (.f64 (.f64 y y) #s(literal 6 binary64)))))))) (.f64 x x))
(* -15/16 (pow x 2))
(.f64 (.f64 x x) #s(literal -15/16 binary64))
(* (pow x 2) (- (* -1/4 (/ y x)) 15/16))
(.f64 (.f64 x x) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 y x)) #s(literal -15/16 binary64)))
(* (pow x 2) (- (+ (* -1/4 (/ y x)) (* 1/16 (/ (+ (* 2 (pow y 2)) (* 4 (pow y 2))) (pow x 2)))) 15/16))
(.f64 (.f64 x x) (+.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 y y) #s(literal 6 binary64))) (.f64 x x)) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 y x)) #s(literal -15/16 binary64))))
(* (pow x 2) (- (+ (* -1/4 (/ y x)) (+ (* -1/4 (/ (pow y 3) (pow x 3))) (* 1/16 (/ (+ (* 2 (pow y 2)) (* 4 (pow y 2))) (pow x 2))))) 15/16))
(.f64 (.f64 x x) (+.f64 (.f64 #s(literal -1/4 binary64) (+.f64 (/.f64 y x) (/.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x))))) (+.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 y y) #s(literal 6 binary64))) (*.f64 x x)) #s(literal -15/16 binary64))))
(* -15/16 (pow x 2))
(.f64 (.f64 x x) #s(literal -15/16 binary64))
(* (pow x 2) (- (* -1/4 (/ y x)) 15/16))
(.f64 (.f64 x x) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 y x)) #s(literal -15/16 binary64)))
(* (pow x 2) (- (* -1 (/ (+ (* -1/16 (/ (+ (* 2 (pow y 2)) (* 4 (pow y 2))) x)) (* 1/4 y)) x)) 15/16))
(.f64 (.f64 x x) (+.f64 (/.f64 (+.f64 (.f64 y #s(literal 1/4 binary64)) (.f64 #s(literal -1/16 binary64) (/.f64 (.f64 (.f64 y y) #s(literal 6 binary64)) x))) (-.f64 #s(literal 0 binary64) x)) #s(literal -15/16 binary64)))
(* (pow x 2) (- (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (pow y 3) x)) (* 1/16 (+ (* 2 (pow y 2)) (* 4 (pow y 2))))) x)) (* 1/4 y)) x)) 15/16))
(.f64 (.f64 x x) (+.f64 (/.f64 (-.f64 (.f64 y #s(literal 1/4 binary64)) (/.f64 (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 y y) #s(literal 6 binary64))) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 y (*.f64 y y))) x)) x)) (-.f64 #s(literal 0 binary64) x)) #s(literal -15/16 binary64)))

eval278.0ms (2.8%)

Compiler: Compiled 64575 to 4408 computations (93.2% saved)

prune332.0ms (3.4%)

Pruning

83 alts after pruning (77 fresh and 6 done)

	Pruned	Kept	Total
New	1693	54	1747
Fresh	12	23	35
Picked	4	1	5
Done	0	5	5
Total	1709	83	1792

Accuracy

100.0%

Counts

1792 → 83

Alt Table

Click to see full alt table

Status	Accuracy	Program
	2.1%	(/.f64 (/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 (-.f64 y x) (-.f64 y x)) (.f64 (-.f64 y x) (-.f64 y x))) #s(literal 16 binary64)) (+.f64 (.f64 (-.f64 y x) (/.f64 (-.f64 y x) #s(literal 4 binary64))) (.f64 x x))) (.f64 (+.f64 (.f64 (-.f64 y x) (/.f64 (-.f64 y x) #s(literal 4 binary64))) (.f64 x x)) (.f64 x (.f64 x (.f64 x x))))) (.f64 (+.f64 (.f64 (-.f64 y x) (/.f64 (-.f64 y x) #s(literal 4 binary64))) (.f64 x x)) (+.f64 (.f64 (-.f64 y x) (/.f64 (-.f64 y x) #s(literal 4 binary64))) (*.f64 x x)))) (-.f64 #s(literal 0 binary64) x))
	3.6%	(/.f64 (/.f64 (-.f64 (.f64 (.f64 (-.f64 y x) (-.f64 y x)) (.f64 x x)) (.f64 #s(literal 4 binary64) (-.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 0 binary64)))) (.f64 #s(literal 4 binary64) (*.f64 x x))) (-.f64 #s(literal 0 binary64) x))
	4.3%	(/.f64 (/.f64 (neg.f64 (+.f64 (/.f64 (+.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 16 binary64)) (.f64 x (.f64 x (.f64 x x))))) (+.f64 (/.f64 (+.f64 (.f64 y y) (.f64 x x)) #s(literal -4 binary64)) (.f64 x x))) (-.f64 #s(literal 0 binary64) x))
	4.5%	(/.f64 (-.f64 (/.f64 (/.f64 (.f64 (/.f64 (neg.f64 (+.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 x (.f64 x (.f64 x x))))) (-.f64 (.f64 x x) (.f64 y y))) (-.f64 y x)) (+.f64 x y)) #s(literal 4 binary64)) (.f64 x x)) (-.f64 #s(literal 0 binary64) x))
	5.7%	(/.f64 (-.f64 (/.f64 (/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (-.f64 y x)) (+.f64 x y)) #s(literal 4 binary64)) (*.f64 x x)) (-.f64 #s(literal 0 binary64) x))
	8.0%	(/.f64 (-.f64 (/.f64 (/.f64 (.f64 (+.f64 (+.f64 (.f64 y y) (.f64 x x)) (+.f64 (.f64 x x) (.f64 x x))) (-.f64 y x)) (+.f64 x y)) #s(literal 4 binary64)) (.f64 x x)) (-.f64 #s(literal 0 binary64) x))
	8.0%	(/.f64 (-.f64 (/.f64 (/.f64 (.f64 (+.f64 (.f64 y y) (.f64 x x)) (-.f64 y x)) (+.f64 x y)) #s(literal 4 binary64)) (.f64 x x)) (-.f64 #s(literal 0 binary64) x))
	8.7%	(/.f64 (-.f64 (/.f64 (-.f64 (.f64 y y) (.f64 x x)) #s(literal 4 binary64)) (*.f64 x x)) (-.f64 #s(literal 0 binary64) x))
	3.9%	(/.f64 (-.f64 (/.f64 (.f64 (-.f64 y x) (-.f64 y x)) #s(literal 4 binary64)) (/.f64 (-.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 0 binary64)) (*.f64 x x))) (-.f64 #s(literal 0 binary64) x))
	2.2%	(/.f64 (-.f64 (/.f64 (.f64 (-.f64 y x) (-.f64 y x)) #s(literal 4 binary64)) (/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 0 binary64)) (+.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 #s(literal 0 binary64) (.f64 (*.f64 x x) #s(literal 0 binary64)))))) (-.f64 #s(literal 0 binary64) x))
	7.0%	(/.f64 (-.f64 (/.f64 (.f64 (-.f64 y x) (-.f64 y x)) #s(literal 4 binary64)) (.f64 (/.f64 (.f64 x x) x) (/.f64 (.f64 x x) x))) (-.f64 #s(literal 0 binary64) x))
	3.3%	(/.f64 (-.f64 (/.f64 (.f64 (.f64 (-.f64 y x) (-.f64 y x)) (.f64 (-.f64 y x) (-.f64 y x))) #s(literal 16 binary64)) (.f64 x (.f64 x (.f64 x x)))) (.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (.f64 (-.f64 y x) (/.f64 (-.f64 y x) #s(literal 4 binary64))) (*.f64 x x))))
	2.0%	(/.f64 (-.f64 (/.f64 (.f64 (.f64 (-.f64 y x) (-.f64 y x)) (.f64 (.f64 (-.f64 y x) (-.f64 y x)) (.f64 (-.f64 y x) (-.f64 y x)))) #s(literal 64 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (/.f64 (.f64 (.f64 (-.f64 y x) (-.f64 y x)) (.f64 (-.f64 y x) (-.f64 y x))) #s(literal 16 binary64)) (.f64 (.f64 x x) (+.f64 (.f64 (-.f64 y x) (/.f64 (-.f64 y x) #s(literal 4 binary64))) (.f64 x x))))))
	7.0%	(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (+.f64 (.f64 y y) (.f64 x x)))) (*.f64 x x)) (-.f64 #s(literal 0 binary64) x))
	8.2%	(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (/.f64 x (/.f64 (+.f64 x y) (/.f64 #s(literal 4 binary64) (+.f64 x y)))) #s(literal -1 binary64))) (.f64 (/.f64 x (/.f64 (+.f64 x y) (/.f64 #s(literal 4 binary64) (+.f64 x y)))) (/.f64 #s(literal 1 binary64) x)))
	7.0%	(/.f64 (-.f64 (.f64 (/.f64 (+.f64 (.f64 y y) (.f64 x x)) x) x) (.f64 #s(literal 4 binary64) (*.f64 x x))) (/.f64 x #s(literal -1/4 binary64)))
	0.5%	(/.f64 (-.f64 (.f64 (/.f64 (+.f64 x y) (/.f64 #s(literal 4 binary64) (+.f64 x y))) (/.f64 (+.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 16 binary64))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 x (+.f64 (/.f64 (+.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 16 binary64)) (.f64 (.f64 x x) (+.f64 (.f64 x x) (/.f64 (+.f64 x y) (/.f64 #s(literal 4 binary64) (+.f64 x y))))))))
	4.1%	(/.f64 (-.f64 (.f64 (/.f64 (.f64 (-.f64 y x) (/.f64 (-.f64 y x) #s(literal 4 binary64))) x) (/.f64 (.f64 (-.f64 y x) (/.f64 (-.f64 y x) #s(literal 4 binary64))) x)) (.f64 x x)) (/.f64 (-.f64 (.f64 x x) (.f64 (/.f64 x (/.f64 (+.f64 x y) (/.f64 #s(literal 4 binary64) (+.f64 x y)))) (.f64 x (.f64 x x)))) (.f64 (/.f64 x (/.f64 (+.f64 x y) (/.f64 #s(literal 4 binary64) (+.f64 x y)))) (.f64 x x))))
	5.7%	(/.f64 (-.f64 (.f64 (/.f64 (.f64 (-.f64 y x) (/.f64 (-.f64 y x) #s(literal 4 binary64))) x) (/.f64 (.f64 (-.f64 y x) (/.f64 (-.f64 y x) #s(literal 4 binary64))) x)) (.f64 x x)) (/.f64 (-.f64 x (.f64 (/.f64 x (/.f64 (+.f64 x y) (/.f64 #s(literal 4 binary64) (+.f64 x y)))) (.f64 x x))) (*.f64 (/.f64 x (/.f64 (+.f64 x y) (/.f64 #s(literal 4 binary64) (+.f64 x y)))) x)))
	6.2%	(/.f64 (-.f64 (.f64 (neg.f64 (.f64 (-.f64 y x) (/.f64 (-.f64 y x) #s(literal 4 binary64)))) (/.f64 (-.f64 #s(literal 0 binary64) x) (.f64 x x))) (.f64 x #s(literal 1 binary64))) (.f64 x (/.f64 (-.f64 #s(literal 0 binary64) x) (.f64 x x))))
	35.9%	(/.f64 (-.f64 (.f64 (fabs.f64 (-.f64 y x)) (.f64 x x)) (.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))))) (.f64 #s(literal 2 binary64) (*.f64 x x)))
	68.4%	(/.f64 (-.f64 (.f64 (fabs.f64 (-.f64 y x)) x) (.f64 #s(literal 2 binary64) (.f64 x (-.f64 #s(literal 0 binary64) x)))) (.f64 #s(literal 2 binary64) x))
	4.8%	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 4 binary64) (.f64 (-.f64 y x) (-.f64 y x)))) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))))) (.f64 (.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 4 binary64) (.f64 (-.f64 y x) (-.f64 y x)))) (.f64 x x)))
	6.9%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) x) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (.f64 (-.f64 y x) (/.f64 (-.f64 y x) #s(literal 4 binary64)))) (.f64 x (-.f64 #s(literal 0 binary64) x)))) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (.f64 (-.f64 y x) (/.f64 (-.f64 y x) #s(literal 4 binary64)))) x))
	6.7%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) x) (.f64 (.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 4 binary64) (.f64 (-.f64 y x) (-.f64 y x)))) (.f64 x (-.f64 #s(literal 0 binary64) x)))) (.f64 (.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 4 binary64) (.f64 (-.f64 y x) (-.f64 y x)))) x))
	4.8%	(/.f64 (+.f64 (.f64 (/.f64 (+.f64 (.f64 y y) (.f64 x x)) x) (.f64 x x)) (.f64 #s(literal 4 binary64) (.f64 x (.f64 x x)))) (.f64 #s(literal 4 binary64) (*.f64 x x)))
	4.9%	(/.f64 (+.f64 (.f64 (-.f64 (.f64 x x) (.f64 y y)) x) (.f64 (/.f64 x #s(literal -1/4 binary64)) (.f64 x x))) (.f64 (/.f64 x #s(literal -1/4 binary64)) x))
	6.3%	(/.f64 (+.f64 (.f64 y (+.f64 (.f64 x #s(literal -1/4 binary64)) (.f64 y #s(literal 3/8 binary64)))) (.f64 (.f64 x x) #s(literal -15/16 binary64))) (+.f64 (/.f64 (.f64 (-.f64 y x) (-.f64 y x)) (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 4 binary64))) (-.f64 #s(literal 0 binary64) x)))
	8.4%	(/.f64 (+.f64 (*.f64 x x) (/.f64 (+.f64 x y) (/.f64 #s(literal 4 binary64) (+.f64 x y)))) x)
	26.5%	(/.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 y (.f64 x #s(literal -2 binary64)))) (.f64 #s(literal -3/4 binary64) (*.f64 x x))) (-.f64 #s(literal 0 binary64) x))
	4.5%	(/.f64 (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 y y)) (.f64 x (+.f64 (.f64 x (+.f64 #s(literal 5/4 binary64) (+.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 y y) #s(literal 6 binary64))) (.f64 y y)) (.f64 #s(literal 2 binary64) (/.f64 (.f64 y #s(literal 1/2 binary64)) y))))) (*.f64 y #s(literal 1/2 binary64))))) x)
	8.5%	(/.f64 (+.f64 x (/.f64 (/.f64 (+.f64 x y) (/.f64 #s(literal 4 binary64) (+.f64 x y))) x)) (*.f64 x (/.f64 #s(literal 1 binary64) x)))
	2.8%	(/.f64 (.f64 (-.f64 (/.f64 #s(literal 1/64 binary64) (.f64 x (.f64 x x))) (.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -3/4 binary64) (/.f64 x y))) y) (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -3/4 binary64) (/.f64 x y))) y) (/.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -3/4 binary64) (/.f64 x y))))))) (.f64 y y)) (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 x x)) (.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -3/4 binary64) (/.f64 x y))) y) (+.f64 (/.f64 #s(literal -1/4 binary64) x) (/.f64 (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -3/4 binary64) (/.f64 x y))) y)))))
	5.9%	(/.f64 (.f64 (.f64 x x) (+.f64 (/.f64 (+.f64 (.f64 y #s(literal 1/4 binary64)) (.f64 #s(literal -1/16 binary64) (/.f64 (.f64 (.f64 y y) #s(literal 6 binary64)) x))) (-.f64 #s(literal 0 binary64) x)) #s(literal -15/16 binary64))) (+.f64 (/.f64 (.f64 (-.f64 y x) (-.f64 y x)) (.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 4 binary64))) (-.f64 #s(literal 0 binary64) x)))
	5.7%	(/.f64 (.f64 (.f64 x x) (+.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 y y) #s(literal 6 binary64))) (.f64 x x)) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 y x)) #s(literal -15/16 binary64)))) (+.f64 (/.f64 (.f64 (-.f64 y x) (-.f64 y x)) (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 4 binary64))) (-.f64 #s(literal 0 binary64) x)))
	8.1%	(/.f64 (.f64 (.f64 x x) #s(literal -15/16 binary64)) (*.f64 x #s(literal -5/4 binary64)))
	4.5%	(/.f64 (.f64 x (.f64 x x)) (*.f64 x x))
	8.1%	(/.f64 (*.f64 x x) x)
✓	32.3%	(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 y y)) (fabs.f64 (-.f64 y x)))
	8.1%	(/.f64 (.f64 #s(literal -3/4 binary64) (.f64 x x)) (-.f64 #s(literal 0 binary64) x))
	4.5%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (.f64 x (*.f64 x x))))
	8.1%	(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 x x)))
	8.5%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (/.f64 (+.f64 x y) (/.f64 #s(literal 4 binary64) (+.f64 x y))) x))))
✓	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))))
✓	10.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
	2.3%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
	8.0%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) x))
	2.3%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) x))
	8.5%	(+.f64 (/.f64 (/.f64 (+.f64 x y) (/.f64 #s(literal 4 binary64) (+.f64 x y))) x) x)
	7.2%	(+.f64 (/.f64 (.f64 (-.f64 y x) (-.f64 y x)) (.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 4 binary64))) x)
	11.3%	(+.f64 (.f64 x #s(literal 3/4 binary64)) (.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) #s(literal -1/4 binary64)))))
	33.3%	(+.f64 (.f64 x #s(literal 3/4 binary64)) (.f64 y #s(literal 1/2 binary64)))
✓	99.9%	(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
	50.3%	(+.f64 x (/.f64 (fabs.f64 (.f64 (+.f64 x y) (.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 y x)))) #s(literal 2 binary64)))
	87.4%	(+.f64 x (/.f64 (fabs.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 y x)))) #s(literal 2 binary64)))
	60.0%	(+.f64 x (/.f64 (fabs.f64 y) #s(literal 2 binary64)))
	98.4%	(+.f64 x (*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (fabs.f64 (-.f64 y x))))
	4.6%	(.f64 (/.f64 (-.f64 (.f64 (-.f64 y x) (/.f64 (-.f64 y x) #s(literal 4 binary64))) (.f64 x x)) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x)))) (.f64 x x))
	6.8%	(.f64 (/.f64 (-.f64 (.f64 (-.f64 y x) (/.f64 (-.f64 y x) #s(literal 4 binary64))) (.f64 x x)) (.f64 x (-.f64 #s(literal 0 binary64) x))) x)
	4.5%	(.f64 (/.f64 (+.f64 (.f64 x x) (/.f64 (+.f64 x y) (/.f64 #s(literal 4 binary64) (+.f64 x y)))) (.f64 x (.f64 x x))) (*.f64 x x))
	8.4%	(.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (.f64 x x) (/.f64 (+.f64 x y) (/.f64 #s(literal 4 binary64) (+.f64 x y)))))
	7.0%	(.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 (.f64 (-.f64 y x) (/.f64 (-.f64 y x) #s(literal 4 binary64))) (*.f64 x x)))
	11.3%	(.f64 (-.f64 #s(literal -3/4 binary64) (/.f64 (.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) #s(literal -1/4 binary64)))) x)) (-.f64 #s(literal 0 binary64) x))
	4.6%	(.f64 (.f64 y y) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) y) (.f64 (/.f64 x #s(literal -1/4 binary64)) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -3/4 binary64) (/.f64 x y))))) (.f64 (/.f64 x #s(literal -1/4 binary64)) y)))
	3.0%	(.f64 (.f64 y y) (/.f64 (+.f64 (/.f64 #s(literal 1/64 binary64) (.f64 x (.f64 x x))) (.f64 #s(literal -1 binary64) (.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -3/4 binary64) (/.f64 x y))) y) (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -3/4 binary64) (/.f64 x y))) y) (/.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -3/4 binary64) (/.f64 x y)))))))) (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 x x)) (-.f64 (.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -3/4 binary64) (/.f64 x y))) y) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -3/4 binary64) (/.f64 x y))) y)) (.f64 (/.f64 #s(literal -1/4 binary64) x) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -3/4 binary64) (/.f64 x y))) y))))))
	21.1%	(.f64 (.f64 y y) (/.f64 (+.f64 (.f64 x #s(literal 3/4 binary64)) (.f64 y #s(literal 1/2 binary64))) (*.f64 y y)))
	3.1%	(.f64 (.f64 y y) (/.f64 #s(literal -1/4 binary64) x))
	6.7%	(.f64 (.f64 y y) (-.f64 (/.f64 #s(literal -1/4 binary64) x) (/.f64 (+.f64 (*.f64 (/.f64 #s(literal -3/4 binary64) y) x) #s(literal -1/2 binary64)) y)))
	5.6%	(.f64 (.f64 y y) (-.f64 (/.f64 #s(literal -1/4 binary64) x) (/.f64 (+.f64 (.f64 (.f64 #s(literal -3/4 binary64) (/.f64 x y)) (.f64 #s(literal -3/4 binary64) (/.f64 x y))) #s(literal -1/4 binary64)) (.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -3/4 binary64) (/.f64 x y)))))))
	6.7%	(.f64 (.f64 y y) (-.f64 (/.f64 #s(literal -1/4 binary64) x) (/.f64 (+.f64 (*.f64 #s(literal -3/4 binary64) (/.f64 x y)) #s(literal -1/2 binary64)) y)))
	6.7%	(.f64 (.f64 y y) (-.f64 (/.f64 #s(literal -1/4 binary64) x) (/.f64 #s(literal 1 binary64) (/.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -3/4 binary64) (/.f64 x y)))))))
	3.1%	(.f64 (.f64 y y) (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 x (+.f64 (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (.f64 #s(literal -2 binary64) (.f64 x (+.f64 (.f64 x #s(literal -5/4 binary64)) (.f64 x #s(literal 3/4 binary64)))))) (-.f64 #s(literal 0 binary64) y)) (.f64 x #s(literal -1/4 binary64)))) (-.f64 #s(literal 0 binary64) y)) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) y)) (/.f64 #s(literal -1/4 binary64) x)))
	6.1%	(.f64 (.f64 y y) (+.f64 (+.f64 (/.f64 (.f64 x #s(literal -3/2 binary64)) (.f64 y y)) (/.f64 #s(literal 1/2 binary64) y)) (-.f64 (/.f64 x (.f64 y y)) (+.f64 (.f64 (/.f64 x (*.f64 y y)) #s(literal -5/4 binary64)) (/.f64 #s(literal 1/4 binary64) x)))))
	6.2%	(.f64 (.f64 y y) (.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/4 binary64) x)) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal -3/4 binary64) (.f64 y y))) (-.f64 #s(literal 0 binary64) x)))
	19.3%	(.f64 (.f64 y y) (.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y x)) (/.f64 #s(literal 3/4 binary64) (*.f64 y y)))))
	5.5%	(.f64 (.f64 y y) (.f64 #s(literal 3/4 binary64) (/.f64 x (.f64 y y))))
	4.4%	(.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 x x)))
	8.1%	(.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) x))
	10.7%	(.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 y x)) (+.f64 #s(literal 3/4 binary64) (.f64 #s(literal -1/4 binary64) (.f64 y (/.f64 y (*.f64 x x)))))))
	29.6%	(.f64 x (+.f64 #s(literal 3/4 binary64) (/.f64 (.f64 y #s(literal 1/2 binary64)) x)))
✓	10.9%	(*.f64 x #s(literal 3/4 binary64))
	2.3%	(neg.f64 x)
✓	10.9%	x

Compiler

Compiled 4788 to 1608 computations (66.4% saved)

regimes111.0ms (1.1%)

Counts

109 → 1

Calls

Call 1

Inputs
x
(neg.f64 x)
(*.f64 x #s(literal 3/4 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 x x) x)
(.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) x))
(.f64 (.f64 y y) (/.f64 #s(literal -1/4 binary64) x))
(+.f64 (.f64 x #s(literal 3/4 binary64)) (.f64 #s(literal 1/2 binary64) y))
(+.f64 (.f64 x #s(literal 3/4 binary64)) (.f64 y #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 x x)))
(/.f64 (.f64 #s(literal -1/4 binary64) (.f64 y y)) x)
(.f64 x (+.f64 #s(literal 3/4 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 y x))))
(.f64 x (+.f64 #s(literal 3/4 binary64) (/.f64 (.f64 y #s(literal 1/2 binary64)) x)))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) x))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) x))
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(/.f64 (-.f64 (.f64 (fabs.f64 (-.f64 y x)) (.f64 x x)) (.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))))) (.f64 #s(literal 2 binary64) (*.f64 x x)))
(/.f64 (-.f64 (.f64 x (.f64 x (.f64 x x))) (/.f64 (.f64 (.f64 (-.f64 y x) (-.f64 y x)) (.f64 (-.f64 y x) (-.f64 y x))) #s(literal 16 binary64))) (.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal -2 binary64))) (+.f64 (.f64 x x) (/.f64 (*.f64 (-.f64 y x) (-.f64 y x)) #s(literal 4 binary64)))))
(/.f64 (/.f64 (-.f64 (/.f64 (.f64 (.f64 (-.f64 y x) (-.f64 y x)) (.f64 (-.f64 y x) (-.f64 y x))) #s(literal 16 binary64)) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (.f64 x x) (.f64 (-.f64 y x) (/.f64 (-.f64 y x) #s(literal 4 binary64))))) (-.f64 (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) x))
(+.f64 x (pow.f64 (pow.f64 (/.f64 (/.f64 #s(literal 4 binary64) (-.f64 y x)) (-.f64 y x)) #s(literal -1/4 binary64)) #s(literal 2 binary64)))
(+.f64 x (*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (fabs.f64 (-.f64 y x))))
(+.f64 x (/.f64 (fabs.f64 (.f64 (+.f64 x y) (.f64 (pow.f64 (pow.f64 (+.f64 x y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (-.f64 y x)))) #s(literal 2 binary64)))
(+.f64 x (*.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 x (*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)) #s(literal 2 binary64))))

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

Calls

3 calls:

33.0ms	(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
31.0ms	y
31.0ms	x

Results

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

Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes66.0ms (0.7%)

Counts

90 → 1

Calls

Call 1

Inputs
x
(neg.f64 x)
(*.f64 x #s(literal 3/4 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 x x) x)
(.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) x))
(.f64 (.f64 y y) (/.f64 #s(literal -1/4 binary64) x))
(+.f64 (.f64 x #s(literal 3/4 binary64)) (.f64 #s(literal 1/2 binary64) y))
(+.f64 (.f64 x #s(literal 3/4 binary64)) (.f64 y #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 x x)))
(/.f64 (.f64 #s(literal -1/4 binary64) (.f64 y y)) x)
(.f64 x (+.f64 #s(literal 3/4 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 y x))))
(.f64 x (+.f64 #s(literal 3/4 binary64) (/.f64 (.f64 y #s(literal 1/2 binary64)) x)))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) x))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) x))
(/.f64 (.f64 #s(literal -3/4 binary64) (.f64 x x)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (.f64 x (.f64 x #s(literal -3/4 binary64))) (-.f64 #s(literal 0 binary64) x))
(/.f64 (.f64 x (.f64 x x)) (*.f64 x x))
(/.f64 (.f64 (.f64 x x) #s(literal -15/16 binary64)) (*.f64 x #s(literal -5/4 binary64)))
(.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(.f64 (.f64 y y) (.f64 #s(literal 3/4 binary64) (/.f64 x (.f64 y y))))
(.f64 (.f64 y y) (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/4 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (.f64 x (*.f64 x x))))
(+.f64 (.f64 x #s(literal 3/4 binary64)) (.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) #s(literal -1/4 binary64)))))
(+.f64 (/.f64 (/.f64 (+.f64 x y) (/.f64 #s(literal 4 binary64) (+.f64 x y))) x) x)
(/.f64 (-.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 x x)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (-.f64 (/.f64 (.f64 y y) #s(literal 4 binary64)) (.f64 x x)) (-.f64 #s(literal 0 binary64) x))
(.f64 (.f64 y y) (/.f64 (+.f64 (.f64 x #s(literal 3/4 binary64)) (.f64 y #s(literal 1/2 binary64))) (*.f64 y y)))
(+.f64 (/.f64 (.f64 (-.f64 y x) (-.f64 y x)) (.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 4 binary64))) x)
(/.f64 (+.f64 (*.f64 x x) (/.f64 (+.f64 x y) (/.f64 #s(literal 4 binary64) (+.f64 x y)))) x)
(.f64 (.f64 y y) (.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y x)) (/.f64 #s(literal 3/4 binary64) (*.f64 y y)))))
(.f64 (.f64 y y) (-.f64 (/.f64 #s(literal -1/4 binary64) x) (/.f64 (+.f64 (*.f64 #s(literal -3/4 binary64) (/.f64 x y)) #s(literal -1/2 binary64)) y)))
(.f64 (.f64 y y) (-.f64 (/.f64 #s(literal -1/4 binary64) x) (/.f64 (+.f64 (*.f64 (/.f64 #s(literal -3/4 binary64) y) x) #s(literal -1/2 binary64)) y)))
(.f64 (.f64 y y) (-.f64 (/.f64 #s(literal -1/4 binary64) x) (/.f64 (+.f64 (/.f64 (*.f64 x #s(literal -3/4 binary64)) y) #s(literal -1/2 binary64)) y)))
(.f64 (-.f64 #s(literal -3/4 binary64) (/.f64 (.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) #s(literal -1/4 binary64)))) x)) (-.f64 #s(literal 0 binary64) x))
(.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 (.f64 (-.f64 y x) (/.f64 (-.f64 y x) #s(literal 4 binary64))) (*.f64 x x)))
(.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (.f64 x x) (/.f64 (+.f64 x y) (/.f64 #s(literal 4 binary64) (+.f64 x y)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (/.f64 (+.f64 x y) (/.f64 #s(literal 4 binary64) (+.f64 x y))) x))))
(/.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 y (.f64 x #s(literal -2 binary64)))) (.f64 #s(literal -3/4 binary64) (*.f64 x x))) (-.f64 #s(literal 0 binary64) x))
(/.f64 (-.f64 (/.f64 (.f64 x (+.f64 x (.f64 y #s(literal -2 binary64)))) #s(literal 4 binary64)) (*.f64 x x)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (-.f64 (/.f64 (.f64 (-.f64 y x) (-.f64 y x)) #s(literal 4 binary64)) (.f64 x x)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (-.f64 (/.f64 (-.f64 (.f64 y y) (.f64 x x)) #s(literal 4 binary64)) (*.f64 x x)) (-.f64 #s(literal 0 binary64) x))
(.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 y x)) (+.f64 #s(literal 3/4 binary64) (.f64 #s(literal -1/4 binary64) (.f64 y (/.f64 y (*.f64 x x)))))))
(.f64 (.f64 y y) (-.f64 (/.f64 #s(literal -1/4 binary64) x) (/.f64 #s(literal 1 binary64) (/.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -3/4 binary64) (/.f64 x y)))))))
(/.f64 (+.f64 x (/.f64 (/.f64 (+.f64 x y) (/.f64 #s(literal 4 binary64) (+.f64 x y))) x)) (*.f64 x (/.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (.f64 (-.f64 y x) (-.f64 y x)))) (.f64 x x)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (+.f64 (.f64 y y) (.f64 x x)))) (*.f64 x x)) (-.f64 #s(literal 0 binary64) x))
(.f64 (/.f64 (-.f64 (.f64 (-.f64 y x) (/.f64 (-.f64 y x) #s(literal 4 binary64))) (.f64 x x)) (.f64 x (-.f64 #s(literal 0 binary64) x))) x)
(/.f64 (-.f64 (.f64 (/.f64 (+.f64 (.f64 y y) (.f64 x x)) x) x) (.f64 #s(literal 4 binary64) (*.f64 x x))) (/.f64 x #s(literal -1/4 binary64)))
(.f64 (/.f64 (+.f64 (.f64 x x) (/.f64 (+.f64 x y) (/.f64 #s(literal 4 binary64) (+.f64 x y)))) (.f64 x (.f64 x x))) (*.f64 x x))
(/.f64 (+.f64 (.f64 (-.f64 (.f64 x x) (.f64 y y)) x) (.f64 (/.f64 x #s(literal -1/4 binary64)) (.f64 x x))) (.f64 (/.f64 x #s(literal -1/4 binary64)) x))
(/.f64 (-.f64 (/.f64 (/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (-.f64 y x)) (+.f64 x y)) #s(literal 4 binary64)) (*.f64 x x)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (-.f64 (.f64 (neg.f64 (.f64 (-.f64 y x) (/.f64 (-.f64 y x) #s(literal 4 binary64)))) x) (.f64 x (.f64 x (-.f64 #s(literal 0 binary64) x)))) (*.f64 x x))
(.f64 (.f64 y y) (.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/4 binary64) x)) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal -3/4 binary64) (.f64 y y))) (-.f64 #s(literal 0 binary64) x)))
(.f64 (.f64 y y) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) y) (.f64 (/.f64 x #s(literal -1/4 binary64)) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -3/4 binary64) (/.f64 x y))))) (.f64 (/.f64 x #s(literal -1/4 binary64)) y)))
(.f64 (/.f64 (-.f64 (.f64 (-.f64 y x) (/.f64 (-.f64 y x) #s(literal 4 binary64))) (.f64 x x)) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x)))) (.f64 x x))
(/.f64 (-.f64 (/.f64 (.f64 (-.f64 y x) (-.f64 y x)) #s(literal 4 binary64)) (.f64 (/.f64 (.f64 x x) x) (/.f64 (.f64 x x) x))) (-.f64 #s(literal 0 binary64) x))
(/.f64 (-.f64 (/.f64 (/.f64 (.f64 (+.f64 (.f64 y y) (.f64 x x)) (-.f64 y x)) (+.f64 x y)) #s(literal 4 binary64)) (.f64 x x)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (-.f64 (/.f64 (/.f64 (.f64 (-.f64 (.f64 y y) (.f64 x x)) (-.f64 y x)) (+.f64 x y)) #s(literal 4 binary64)) (.f64 x x)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (+.f64 (.f64 (/.f64 (+.f64 (.f64 y y) (.f64 x x)) x) (.f64 x x)) (.f64 #s(literal 4 binary64) (.f64 x (.f64 x x)))) (.f64 #s(literal 4 binary64) (*.f64 x x)))
(/.f64 (-.f64 (/.f64 (.f64 (-.f64 y x) (-.f64 y x)) #s(literal 4 binary64)) (/.f64 (-.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 0 binary64)) (*.f64 x x))) (-.f64 #s(literal 0 binary64) x))
(.f64 (.f64 y y) (-.f64 (/.f64 #s(literal -1/4 binary64) x) (/.f64 (+.f64 (.f64 (.f64 #s(literal -3/4 binary64) (/.f64 x y)) (.f64 #s(literal -3/4 binary64) (/.f64 x y))) #s(literal -1/4 binary64)) (.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -3/4 binary64) (/.f64 x y)))))))
(/.f64 (-.f64 (.f64 (neg.f64 (.f64 (-.f64 y x) (/.f64 (-.f64 y x) #s(literal 4 binary64)))) (/.f64 (-.f64 #s(literal 0 binary64) x) (.f64 x x))) (.f64 x #s(literal 1 binary64))) (.f64 x (/.f64 (-.f64 #s(literal 0 binary64) x) (.f64 x x))))
(.f64 (.f64 y y) (+.f64 (+.f64 (/.f64 (.f64 x #s(literal -3/2 binary64)) (.f64 y y)) (/.f64 #s(literal 1/2 binary64) y)) (-.f64 (/.f64 x (.f64 y y)) (+.f64 (.f64 (/.f64 x (*.f64 y y)) #s(literal -5/4 binary64)) (/.f64 #s(literal 1/4 binary64) x)))))
(/.f64 (+.f64 (.f64 y (+.f64 (.f64 x #s(literal -1/4 binary64)) (.f64 y #s(literal 3/8 binary64)))) (.f64 (.f64 x x) #s(literal -15/16 binary64))) (+.f64 (/.f64 (.f64 (-.f64 y x) (-.f64 y x)) (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 4 binary64))) (-.f64 #s(literal 0 binary64) x)))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (/.f64 x (/.f64 (+.f64 x y) (/.f64 #s(literal 4 binary64) (+.f64 x y)))) #s(literal -1 binary64))) (.f64 (/.f64 x (/.f64 (+.f64 x y) (/.f64 #s(literal 4 binary64) (+.f64 x y)))) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (/.f64 (/.f64 (.f64 (+.f64 (+.f64 (.f64 y y) (.f64 x x)) (+.f64 (.f64 x x) (.f64 x x))) (-.f64 y x)) (+.f64 x y)) #s(literal 4 binary64)) (.f64 x x)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (/.f64 (-.f64 (.f64 (.f64 (-.f64 y x) (-.f64 y x)) (.f64 x x)) (.f64 #s(literal 4 binary64) (-.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 0 binary64)))) (.f64 #s(literal 4 binary64) (*.f64 x x))) (-.f64 #s(literal 0 binary64) x))
(/.f64 (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 y y)) (.f64 x (+.f64 (.f64 x (+.f64 #s(literal 5/4 binary64) (+.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 y y) #s(literal 6 binary64))) (.f64 y y)) (.f64 #s(literal 2 binary64) (/.f64 (.f64 y #s(literal 1/2 binary64)) y))))) (*.f64 y #s(literal 1/2 binary64))))) x)
(/.f64 (-.f64 (.f64 (.f64 (-.f64 y x) (-.f64 y x)) (/.f64 (-.f64 #s(literal 0 binary64) x) (.f64 x x))) (.f64 (.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 4 binary64)) #s(literal 1 binary64))) (.f64 (.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 4 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) x) (.f64 x x))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) x) (.f64 (.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 4 binary64) (.f64 (-.f64 y x) (-.f64 y x)))) (.f64 x (-.f64 #s(literal 0 binary64) x)))) (.f64 (.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 4 binary64) (.f64 (-.f64 y x) (-.f64 y x)))) x))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) x) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (.f64 (-.f64 y x) (/.f64 (-.f64 y x) #s(literal 4 binary64)))) (.f64 x (-.f64 #s(literal 0 binary64) x)))) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (.f64 (-.f64 y x) (/.f64 (-.f64 y x) #s(literal 4 binary64)))) x))
(/.f64 (.f64 (.f64 x x) (+.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 y y) #s(literal 6 binary64))) (.f64 x x)) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 y x)) #s(literal -15/16 binary64)))) (+.f64 (/.f64 (.f64 (-.f64 y x) (-.f64 y x)) (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 4 binary64))) (-.f64 #s(literal 0 binary64) x)))
(/.f64 (.f64 (.f64 x x) (+.f64 (/.f64 (+.f64 (.f64 y #s(literal 1/4 binary64)) (.f64 #s(literal -1/16 binary64) (/.f64 (.f64 (.f64 y y) #s(literal 6 binary64)) x))) (-.f64 #s(literal 0 binary64) x)) #s(literal -15/16 binary64))) (+.f64 (/.f64 (.f64 (-.f64 y x) (-.f64 y x)) (.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 4 binary64))) (-.f64 #s(literal 0 binary64) x)))
(/.f64 (-.f64 (/.f64 (/.f64 (.f64 (/.f64 (neg.f64 (+.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 x (.f64 x (.f64 x x))))) (-.f64 (.f64 x x) (.f64 y y))) (-.f64 y x)) (+.f64 x y)) #s(literal 4 binary64)) (.f64 x x)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 4 binary64) (.f64 (-.f64 y x) (-.f64 y x)))) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))))) (.f64 (.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 4 binary64) (.f64 (-.f64 y x) (-.f64 y x)))) (.f64 x x)))
(/.f64 (-.f64 (/.f64 (.f64 (.f64 (-.f64 y x) (-.f64 y x)) (.f64 (-.f64 y x) (-.f64 y x))) #s(literal 16 binary64)) (.f64 x (.f64 x (.f64 x x)))) (.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (.f64 (-.f64 y x) (/.f64 (-.f64 y x) #s(literal 4 binary64))) (*.f64 x x))))
(/.f64 (-.f64 (/.f64 (.f64 (-.f64 y x) (-.f64 y x)) #s(literal 4 binary64)) (/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 0 binary64)) (+.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 #s(literal 0 binary64) (.f64 (*.f64 x x) #s(literal 0 binary64)))))) (-.f64 #s(literal 0 binary64) x))
(/.f64 (/.f64 (neg.f64 (+.f64 (/.f64 (+.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 16 binary64)) (.f64 x (.f64 x (.f64 x x))))) (+.f64 (/.f64 (+.f64 (.f64 y y) (.f64 x x)) #s(literal -4 binary64)) (.f64 x x))) (-.f64 #s(literal 0 binary64) x))
(.f64 (.f64 y y) (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 x (+.f64 (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (.f64 #s(literal -2 binary64) (.f64 x (+.f64 (.f64 x #s(literal -5/4 binary64)) (.f64 x #s(literal 3/4 binary64)))))) (-.f64 #s(literal 0 binary64) y)) (.f64 x #s(literal -1/4 binary64)))) (-.f64 #s(literal 0 binary64) y)) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) y)) (/.f64 #s(literal -1/4 binary64) x)))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (-.f64 y x) (/.f64 (-.f64 y x) #s(literal 4 binary64))) x) (/.f64 (.f64 (-.f64 y x) (/.f64 (-.f64 y x) #s(literal 4 binary64))) x)) (.f64 x x)) (+.f64 (/.f64 (.f64 (-.f64 y x) (-.f64 y x)) (.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 4 binary64))) (-.f64 #s(literal 0 binary64) x)))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (-.f64 y x) (/.f64 (-.f64 y x) #s(literal 4 binary64))) x) (/.f64 (.f64 (-.f64 y x) (/.f64 (-.f64 y x) #s(literal 4 binary64))) x)) (.f64 x x)) (/.f64 (-.f64 x (.f64 (/.f64 x (/.f64 (+.f64 x y) (/.f64 #s(literal 4 binary64) (+.f64 x y)))) (.f64 x x))) (*.f64 (/.f64 x (/.f64 (+.f64 x y) (/.f64 #s(literal 4 binary64) (+.f64 x y)))) x)))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (-.f64 y x) (/.f64 (-.f64 y x) #s(literal 4 binary64))) x) (/.f64 (.f64 (-.f64 y x) (/.f64 (-.f64 y x) #s(literal 4 binary64))) x)) (.f64 x x)) (/.f64 (-.f64 (.f64 x x) (.f64 (/.f64 x (/.f64 (+.f64 x y) (/.f64 #s(literal 4 binary64) (+.f64 x y)))) (.f64 x (.f64 x x)))) (.f64 (/.f64 x (/.f64 (+.f64 x y) (/.f64 #s(literal 4 binary64) (+.f64 x y)))) (.f64 x x))))
(/.f64 (.f64 (-.f64 (/.f64 #s(literal 1/64 binary64) (.f64 x (.f64 x x))) (.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -3/4 binary64) (/.f64 x y))) y) (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -3/4 binary64) (/.f64 x y))) y) (/.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -3/4 binary64) (/.f64 x y))))))) (.f64 y y)) (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 x x)) (.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -3/4 binary64) (/.f64 x y))) y) (+.f64 (/.f64 #s(literal -1/4 binary64) x) (/.f64 (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -3/4 binary64) (/.f64 x y))) y)))))
(/.f64 (-.f64 (.f64 (/.f64 (+.f64 x y) (/.f64 #s(literal 4 binary64) (+.f64 x y))) (/.f64 (+.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 16 binary64))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 x (+.f64 (/.f64 (+.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 16 binary64)) (.f64 (.f64 x x) (+.f64 (.f64 x x) (/.f64 (+.f64 x y) (/.f64 #s(literal 4 binary64) (+.f64 x y))))))))
(/.f64 (-.f64 (/.f64 (.f64 (.f64 (-.f64 y x) (-.f64 y x)) (.f64 (.f64 (-.f64 y x) (-.f64 y x)) (.f64 (-.f64 y x) (-.f64 y x)))) #s(literal 64 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (/.f64 (.f64 (.f64 (-.f64 y x) (-.f64 y x)) (.f64 (-.f64 y x) (-.f64 y x))) #s(literal 16 binary64)) (.f64 (.f64 x x) (+.f64 (.f64 (-.f64 y x) (/.f64 (-.f64 y x) #s(literal 4 binary64))) (.f64 x x))))))
(.f64 (.f64 y y) (/.f64 (+.f64 (/.f64 #s(literal 1/64 binary64) (.f64 x (.f64 x x))) (.f64 #s(literal -1 binary64) (.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -3/4 binary64) (/.f64 x y))) y) (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -3/4 binary64) (/.f64 x y))) y) (/.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -3/4 binary64) (/.f64 x y)))))))) (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 x x)) (-.f64 (.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -3/4 binary64) (/.f64 x y))) y) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -3/4 binary64) (/.f64 x y))) y)) (.f64 (/.f64 #s(literal -1/4 binary64) x) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -3/4 binary64) (/.f64 x y))) y))))))
(/.f64 (/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 (-.f64 y x) (-.f64 y x)) (.f64 (-.f64 y x) (-.f64 y x))) #s(literal 16 binary64)) (+.f64 (.f64 (-.f64 y x) (/.f64 (-.f64 y x) #s(literal 4 binary64))) (.f64 x x))) (.f64 (+.f64 (.f64 (-.f64 y x) (/.f64 (-.f64 y x) #s(literal 4 binary64))) (.f64 x x)) (.f64 x (.f64 x (.f64 x x))))) (.f64 (+.f64 (.f64 (-.f64 y x) (/.f64 (-.f64 y x) #s(literal 4 binary64))) (.f64 x x)) (+.f64 (.f64 (-.f64 y x) (/.f64 (-.f64 y x) #s(literal 4 binary64))) (*.f64 x x)))) (-.f64 #s(literal 0 binary64) x))
(+.f64 x (/.f64 (fabs.f64 y) #s(literal 2 binary64)))

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

Calls

2 calls:

25.0ms	y
24.0ms	x

Results

Accuracy	Segments	Branch
60.0%	1	`x`
60.0%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes113.0ms (1.1%)

Counts

89 → 1

Calls

Call 1

Inputs
x
(neg.f64 x)
(*.f64 x #s(literal 3/4 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 x x) x)
(.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) x))
(.f64 (.f64 y y) (/.f64 #s(literal -1/4 binary64) x))
(+.f64 (.f64 x #s(literal 3/4 binary64)) (.f64 #s(literal 1/2 binary64) y))
(+.f64 (.f64 x #s(literal 3/4 binary64)) (.f64 y #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 x x)))
(/.f64 (.f64 #s(literal -1/4 binary64) (.f64 y y)) x)
(.f64 x (+.f64 #s(literal 3/4 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 y x))))
(.f64 x (+.f64 #s(literal 3/4 binary64) (/.f64 (.f64 y #s(literal 1/2 binary64)) x)))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) x))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) x))
(/.f64 (.f64 #s(literal -3/4 binary64) (.f64 x x)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (.f64 x (.f64 x #s(literal -3/4 binary64))) (-.f64 #s(literal 0 binary64) x))
(/.f64 (.f64 x (.f64 x x)) (*.f64 x x))
(/.f64 (.f64 (.f64 x x) #s(literal -15/16 binary64)) (*.f64 x #s(literal -5/4 binary64)))
(.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(.f64 (.f64 y y) (.f64 #s(literal 3/4 binary64) (/.f64 x (.f64 y y))))
(.f64 (.f64 y y) (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/4 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (.f64 x (*.f64 x x))))
(+.f64 (.f64 x #s(literal 3/4 binary64)) (.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) #s(literal -1/4 binary64)))))
(+.f64 (/.f64 (/.f64 (+.f64 x y) (/.f64 #s(literal 4 binary64) (+.f64 x y))) x) x)
(/.f64 (-.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 x x)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (-.f64 (/.f64 (.f64 y y) #s(literal 4 binary64)) (.f64 x x)) (-.f64 #s(literal 0 binary64) x))
(.f64 (.f64 y y) (/.f64 (+.f64 (.f64 x #s(literal 3/4 binary64)) (.f64 y #s(literal 1/2 binary64))) (*.f64 y y)))
(+.f64 (/.f64 (.f64 (-.f64 y x) (-.f64 y x)) (.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 4 binary64))) x)
(/.f64 (+.f64 (*.f64 x x) (/.f64 (+.f64 x y) (/.f64 #s(literal 4 binary64) (+.f64 x y)))) x)
(.f64 (.f64 y y) (.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y x)) (/.f64 #s(literal 3/4 binary64) (*.f64 y y)))))
(.f64 (.f64 y y) (-.f64 (/.f64 #s(literal -1/4 binary64) x) (/.f64 (+.f64 (*.f64 #s(literal -3/4 binary64) (/.f64 x y)) #s(literal -1/2 binary64)) y)))
(.f64 (.f64 y y) (-.f64 (/.f64 #s(literal -1/4 binary64) x) (/.f64 (+.f64 (*.f64 (/.f64 #s(literal -3/4 binary64) y) x) #s(literal -1/2 binary64)) y)))
(.f64 (.f64 y y) (-.f64 (/.f64 #s(literal -1/4 binary64) x) (/.f64 (+.f64 (/.f64 (*.f64 x #s(literal -3/4 binary64)) y) #s(literal -1/2 binary64)) y)))
(.f64 (-.f64 #s(literal -3/4 binary64) (/.f64 (.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) #s(literal -1/4 binary64)))) x)) (-.f64 #s(literal 0 binary64) x))
(.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 (.f64 (-.f64 y x) (/.f64 (-.f64 y x) #s(literal 4 binary64))) (*.f64 x x)))
(.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (.f64 x x) (/.f64 (+.f64 x y) (/.f64 #s(literal 4 binary64) (+.f64 x y)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (/.f64 (+.f64 x y) (/.f64 #s(literal 4 binary64) (+.f64 x y))) x))))
(/.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 y (.f64 x #s(literal -2 binary64)))) (.f64 #s(literal -3/4 binary64) (*.f64 x x))) (-.f64 #s(literal 0 binary64) x))
(/.f64 (-.f64 (/.f64 (.f64 x (+.f64 x (.f64 y #s(literal -2 binary64)))) #s(literal 4 binary64)) (*.f64 x x)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (-.f64 (/.f64 (.f64 (-.f64 y x) (-.f64 y x)) #s(literal 4 binary64)) (.f64 x x)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (-.f64 (/.f64 (-.f64 (.f64 y y) (.f64 x x)) #s(literal 4 binary64)) (*.f64 x x)) (-.f64 #s(literal 0 binary64) x))
(.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 y x)) (+.f64 #s(literal 3/4 binary64) (.f64 #s(literal -1/4 binary64) (.f64 y (/.f64 y (*.f64 x x)))))))
(.f64 (.f64 y y) (-.f64 (/.f64 #s(literal -1/4 binary64) x) (/.f64 #s(literal 1 binary64) (/.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -3/4 binary64) (/.f64 x y)))))))
(/.f64 (+.f64 x (/.f64 (/.f64 (+.f64 x y) (/.f64 #s(literal 4 binary64) (+.f64 x y))) x)) (*.f64 x (/.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (.f64 (-.f64 y x) (-.f64 y x)))) (.f64 x x)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (+.f64 (.f64 y y) (.f64 x x)))) (*.f64 x x)) (-.f64 #s(literal 0 binary64) x))
(.f64 (/.f64 (-.f64 (.f64 (-.f64 y x) (/.f64 (-.f64 y x) #s(literal 4 binary64))) (.f64 x x)) (.f64 x (-.f64 #s(literal 0 binary64) x))) x)
(/.f64 (-.f64 (.f64 (/.f64 (+.f64 (.f64 y y) (.f64 x x)) x) x) (.f64 #s(literal 4 binary64) (*.f64 x x))) (/.f64 x #s(literal -1/4 binary64)))
(.f64 (/.f64 (+.f64 (.f64 x x) (/.f64 (+.f64 x y) (/.f64 #s(literal 4 binary64) (+.f64 x y)))) (.f64 x (.f64 x x))) (*.f64 x x))
(/.f64 (+.f64 (.f64 (-.f64 (.f64 x x) (.f64 y y)) x) (.f64 (/.f64 x #s(literal -1/4 binary64)) (.f64 x x))) (.f64 (/.f64 x #s(literal -1/4 binary64)) x))
(/.f64 (-.f64 (/.f64 (/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (-.f64 y x)) (+.f64 x y)) #s(literal 4 binary64)) (*.f64 x x)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (-.f64 (.f64 (neg.f64 (.f64 (-.f64 y x) (/.f64 (-.f64 y x) #s(literal 4 binary64)))) x) (.f64 x (.f64 x (-.f64 #s(literal 0 binary64) x)))) (*.f64 x x))
(.f64 (.f64 y y) (.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/4 binary64) x)) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal -3/4 binary64) (.f64 y y))) (-.f64 #s(literal 0 binary64) x)))
(.f64 (.f64 y y) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) y) (.f64 (/.f64 x #s(literal -1/4 binary64)) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -3/4 binary64) (/.f64 x y))))) (.f64 (/.f64 x #s(literal -1/4 binary64)) y)))
(.f64 (/.f64 (-.f64 (.f64 (-.f64 y x) (/.f64 (-.f64 y x) #s(literal 4 binary64))) (.f64 x x)) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x)))) (.f64 x x))
(/.f64 (-.f64 (/.f64 (.f64 (-.f64 y x) (-.f64 y x)) #s(literal 4 binary64)) (.f64 (/.f64 (.f64 x x) x) (/.f64 (.f64 x x) x))) (-.f64 #s(literal 0 binary64) x))
(/.f64 (-.f64 (/.f64 (/.f64 (.f64 (+.f64 (.f64 y y) (.f64 x x)) (-.f64 y x)) (+.f64 x y)) #s(literal 4 binary64)) (.f64 x x)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (-.f64 (/.f64 (/.f64 (.f64 (-.f64 (.f64 y y) (.f64 x x)) (-.f64 y x)) (+.f64 x y)) #s(literal 4 binary64)) (.f64 x x)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (+.f64 (.f64 (/.f64 (+.f64 (.f64 y y) (.f64 x x)) x) (.f64 x x)) (.f64 #s(literal 4 binary64) (.f64 x (.f64 x x)))) (.f64 #s(literal 4 binary64) (*.f64 x x)))
(/.f64 (-.f64 (/.f64 (.f64 (-.f64 y x) (-.f64 y x)) #s(literal 4 binary64)) (/.f64 (-.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 0 binary64)) (*.f64 x x))) (-.f64 #s(literal 0 binary64) x))
(.f64 (.f64 y y) (-.f64 (/.f64 #s(literal -1/4 binary64) x) (/.f64 (+.f64 (.f64 (.f64 #s(literal -3/4 binary64) (/.f64 x y)) (.f64 #s(literal -3/4 binary64) (/.f64 x y))) #s(literal -1/4 binary64)) (.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -3/4 binary64) (/.f64 x y)))))))
(/.f64 (-.f64 (.f64 (neg.f64 (.f64 (-.f64 y x) (/.f64 (-.f64 y x) #s(literal 4 binary64)))) (/.f64 (-.f64 #s(literal 0 binary64) x) (.f64 x x))) (.f64 x #s(literal 1 binary64))) (.f64 x (/.f64 (-.f64 #s(literal 0 binary64) x) (.f64 x x))))
(.f64 (.f64 y y) (+.f64 (+.f64 (/.f64 (.f64 x #s(literal -3/2 binary64)) (.f64 y y)) (/.f64 #s(literal 1/2 binary64) y)) (-.f64 (/.f64 x (.f64 y y)) (+.f64 (.f64 (/.f64 x (*.f64 y y)) #s(literal -5/4 binary64)) (/.f64 #s(literal 1/4 binary64) x)))))
(/.f64 (+.f64 (.f64 y (+.f64 (.f64 x #s(literal -1/4 binary64)) (.f64 y #s(literal 3/8 binary64)))) (.f64 (.f64 x x) #s(literal -15/16 binary64))) (+.f64 (/.f64 (.f64 (-.f64 y x) (-.f64 y x)) (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 4 binary64))) (-.f64 #s(literal 0 binary64) x)))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (/.f64 x (/.f64 (+.f64 x y) (/.f64 #s(literal 4 binary64) (+.f64 x y)))) #s(literal -1 binary64))) (.f64 (/.f64 x (/.f64 (+.f64 x y) (/.f64 #s(literal 4 binary64) (+.f64 x y)))) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (/.f64 (/.f64 (.f64 (+.f64 (+.f64 (.f64 y y) (.f64 x x)) (+.f64 (.f64 x x) (.f64 x x))) (-.f64 y x)) (+.f64 x y)) #s(literal 4 binary64)) (.f64 x x)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (/.f64 (-.f64 (.f64 (.f64 (-.f64 y x) (-.f64 y x)) (.f64 x x)) (.f64 #s(literal 4 binary64) (-.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 0 binary64)))) (.f64 #s(literal 4 binary64) (*.f64 x x))) (-.f64 #s(literal 0 binary64) x))
(/.f64 (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 y y)) (.f64 x (+.f64 (.f64 x (+.f64 #s(literal 5/4 binary64) (+.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 y y) #s(literal 6 binary64))) (.f64 y y)) (.f64 #s(literal 2 binary64) (/.f64 (.f64 y #s(literal 1/2 binary64)) y))))) (*.f64 y #s(literal 1/2 binary64))))) x)
(/.f64 (-.f64 (.f64 (.f64 (-.f64 y x) (-.f64 y x)) (/.f64 (-.f64 #s(literal 0 binary64) x) (.f64 x x))) (.f64 (.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 4 binary64)) #s(literal 1 binary64))) (.f64 (.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 4 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) x) (.f64 x x))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) x) (.f64 (.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 4 binary64) (.f64 (-.f64 y x) (-.f64 y x)))) (.f64 x (-.f64 #s(literal 0 binary64) x)))) (.f64 (.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 4 binary64) (.f64 (-.f64 y x) (-.f64 y x)))) x))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) x) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (.f64 (-.f64 y x) (/.f64 (-.f64 y x) #s(literal 4 binary64)))) (.f64 x (-.f64 #s(literal 0 binary64) x)))) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (.f64 (-.f64 y x) (/.f64 (-.f64 y x) #s(literal 4 binary64)))) x))
(/.f64 (.f64 (.f64 x x) (+.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 y y) #s(literal 6 binary64))) (.f64 x x)) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 y x)) #s(literal -15/16 binary64)))) (+.f64 (/.f64 (.f64 (-.f64 y x) (-.f64 y x)) (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 4 binary64))) (-.f64 #s(literal 0 binary64) x)))
(/.f64 (.f64 (.f64 x x) (+.f64 (/.f64 (+.f64 (.f64 y #s(literal 1/4 binary64)) (.f64 #s(literal -1/16 binary64) (/.f64 (.f64 (.f64 y y) #s(literal 6 binary64)) x))) (-.f64 #s(literal 0 binary64) x)) #s(literal -15/16 binary64))) (+.f64 (/.f64 (.f64 (-.f64 y x) (-.f64 y x)) (.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 4 binary64))) (-.f64 #s(literal 0 binary64) x)))
(/.f64 (-.f64 (/.f64 (/.f64 (.f64 (/.f64 (neg.f64 (+.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 x (.f64 x (.f64 x x))))) (-.f64 (.f64 x x) (.f64 y y))) (-.f64 y x)) (+.f64 x y)) #s(literal 4 binary64)) (.f64 x x)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 4 binary64) (.f64 (-.f64 y x) (-.f64 y x)))) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))))) (.f64 (.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 4 binary64) (.f64 (-.f64 y x) (-.f64 y x)))) (.f64 x x)))
(/.f64 (-.f64 (/.f64 (.f64 (.f64 (-.f64 y x) (-.f64 y x)) (.f64 (-.f64 y x) (-.f64 y x))) #s(literal 16 binary64)) (.f64 x (.f64 x (.f64 x x)))) (.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (.f64 (-.f64 y x) (/.f64 (-.f64 y x) #s(literal 4 binary64))) (*.f64 x x))))
(/.f64 (-.f64 (/.f64 (.f64 (-.f64 y x) (-.f64 y x)) #s(literal 4 binary64)) (/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 0 binary64)) (+.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 #s(literal 0 binary64) (.f64 (*.f64 x x) #s(literal 0 binary64)))))) (-.f64 #s(literal 0 binary64) x))
(/.f64 (/.f64 (neg.f64 (+.f64 (/.f64 (+.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 16 binary64)) (.f64 x (.f64 x (.f64 x x))))) (+.f64 (/.f64 (+.f64 (.f64 y y) (.f64 x x)) #s(literal -4 binary64)) (.f64 x x))) (-.f64 #s(literal 0 binary64) x))
(.f64 (.f64 y y) (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 x (+.f64 (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (.f64 #s(literal -2 binary64) (.f64 x (+.f64 (.f64 x #s(literal -5/4 binary64)) (.f64 x #s(literal 3/4 binary64)))))) (-.f64 #s(literal 0 binary64) y)) (.f64 x #s(literal -1/4 binary64)))) (-.f64 #s(literal 0 binary64) y)) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) y)) (/.f64 #s(literal -1/4 binary64) x)))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (-.f64 y x) (/.f64 (-.f64 y x) #s(literal 4 binary64))) x) (/.f64 (.f64 (-.f64 y x) (/.f64 (-.f64 y x) #s(literal 4 binary64))) x)) (.f64 x x)) (+.f64 (/.f64 (.f64 (-.f64 y x) (-.f64 y x)) (.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 4 binary64))) (-.f64 #s(literal 0 binary64) x)))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (-.f64 y x) (/.f64 (-.f64 y x) #s(literal 4 binary64))) x) (/.f64 (.f64 (-.f64 y x) (/.f64 (-.f64 y x) #s(literal 4 binary64))) x)) (.f64 x x)) (/.f64 (-.f64 x (.f64 (/.f64 x (/.f64 (+.f64 x y) (/.f64 #s(literal 4 binary64) (+.f64 x y)))) (.f64 x x))) (*.f64 (/.f64 x (/.f64 (+.f64 x y) (/.f64 #s(literal 4 binary64) (+.f64 x y)))) x)))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (-.f64 y x) (/.f64 (-.f64 y x) #s(literal 4 binary64))) x) (/.f64 (.f64 (-.f64 y x) (/.f64 (-.f64 y x) #s(literal 4 binary64))) x)) (.f64 x x)) (/.f64 (-.f64 (.f64 x x) (.f64 (/.f64 x (/.f64 (+.f64 x y) (/.f64 #s(literal 4 binary64) (+.f64 x y)))) (.f64 x (.f64 x x)))) (.f64 (/.f64 x (/.f64 (+.f64 x y) (/.f64 #s(literal 4 binary64) (+.f64 x y)))) (.f64 x x))))
(/.f64 (.f64 (-.f64 (/.f64 #s(literal 1/64 binary64) (.f64 x (.f64 x x))) (.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -3/4 binary64) (/.f64 x y))) y) (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -3/4 binary64) (/.f64 x y))) y) (/.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -3/4 binary64) (/.f64 x y))))))) (.f64 y y)) (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 x x)) (.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -3/4 binary64) (/.f64 x y))) y) (+.f64 (/.f64 #s(literal -1/4 binary64) x) (/.f64 (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -3/4 binary64) (/.f64 x y))) y)))))
(/.f64 (-.f64 (.f64 (/.f64 (+.f64 x y) (/.f64 #s(literal 4 binary64) (+.f64 x y))) (/.f64 (+.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 16 binary64))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 x (+.f64 (/.f64 (+.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 16 binary64)) (.f64 (.f64 x x) (+.f64 (.f64 x x) (/.f64 (+.f64 x y) (/.f64 #s(literal 4 binary64) (+.f64 x y))))))))
(/.f64 (-.f64 (/.f64 (.f64 (.f64 (-.f64 y x) (-.f64 y x)) (.f64 (.f64 (-.f64 y x) (-.f64 y x)) (.f64 (-.f64 y x) (-.f64 y x)))) #s(literal 64 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (/.f64 (.f64 (.f64 (-.f64 y x) (-.f64 y x)) (.f64 (-.f64 y x) (-.f64 y x))) #s(literal 16 binary64)) (.f64 (.f64 x x) (+.f64 (.f64 (-.f64 y x) (/.f64 (-.f64 y x) #s(literal 4 binary64))) (.f64 x x))))))
(.f64 (.f64 y y) (/.f64 (+.f64 (/.f64 #s(literal 1/64 binary64) (.f64 x (.f64 x x))) (.f64 #s(literal -1 binary64) (.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -3/4 binary64) (/.f64 x y))) y) (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -3/4 binary64) (/.f64 x y))) y) (/.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -3/4 binary64) (/.f64 x y)))))))) (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 x x)) (-.f64 (.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -3/4 binary64) (/.f64 x y))) y) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -3/4 binary64) (/.f64 x y))) y)) (.f64 (/.f64 #s(literal -1/4 binary64) x) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -3/4 binary64) (/.f64 x y))) y))))))
(/.f64 (/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 (-.f64 y x) (-.f64 y x)) (.f64 (-.f64 y x) (-.f64 y x))) #s(literal 16 binary64)) (+.f64 (.f64 (-.f64 y x) (/.f64 (-.f64 y x) #s(literal 4 binary64))) (.f64 x x))) (.f64 (+.f64 (.f64 (-.f64 y x) (/.f64 (-.f64 y x) #s(literal 4 binary64))) (.f64 x x)) (.f64 x (.f64 x (.f64 x x))))) (.f64 (+.f64 (.f64 (-.f64 y x) (/.f64 (-.f64 y x) #s(literal 4 binary64))) (.f64 x x)) (+.f64 (.f64 (-.f64 y x) (/.f64 (-.f64 y x) #s(literal 4 binary64))) (*.f64 x x)))) (-.f64 #s(literal 0 binary64) x))

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

Calls

2 calls:

82.0ms	y
25.0ms	x

Results

Accuracy	Segments	Branch
33.3%	1	`x`
33.3%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes8.0ms (0.1%)

Accuracy

Total -6.3b remaining (-11%)

Threshold costs -6.3b (-11%)

Counts

8 → 1

Calls

Call 1

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

Outputs
x

Calls

2 calls:

5.0ms	y
3.0ms	x

Results

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

Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	22
1	24	22
2	31	22
3	36	22
4	39	22
5	40	22

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness1.4s (13.9%)

Rules

3794×	`-lowering-.f32`
3794×	`-lowering-.f64`
3404×	`-lowering-.f32`
3404×	`-lowering-.f64`
2784×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	513	4588
1	1726	4150
2	5316	4064
0	8424	4064
0	7	21
1	47	20
2	402	20
3	5830	20
0	8059	20
0	497	3677
1	1664	3228
2	4806	3102
0	8386	3102
0	43	479
1	117	458
2	293	458
3	903	458
4	3274	458
5	6167	458
0	8070	458

Stop Event

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

Compiler

Compiled 80 to 49 computations (38.8% saved)

preprocess39.0ms (0.4%)

Compiler: Compiled 68 to 44 computations (35.3% saved)

Iter	Nodes	Cost
0	7	24
1	12	24
2	19	24
3	28	24
4	50	24
5	123	24
6	278	24
7	436	24
8	581	23
9	722	23
10	871	23
11	943	23
12	957	23
13	970	23
14	990	23
15	998	23
0	998	23

Iter	Nodes	Cost
0	7	24
1	12	24
2	19	24
3	28	24
4	50	24
5	123	24
6	278	24
7	436	24
8	581	23
9	722	23
10	871	23
11	943	23
12	957	23
13	970	23
14	990	23
15	998	23
0	998	23

analyze0.0ms (0%)

sample977.0ms (9.9%)

preprocess76.0ms (0.8%)

explain147.0ms (1.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify44.0ms (0.4%)

localize31.0ms (0.3%)

series4.0ms (0%)

rewrite275.0ms (2.8%)

simplify132.0ms (1.3%)

eval33.0ms (0.3%)

prune32.0ms (0.3%)

simplify168.0ms (1.7%)

localize226.0ms (2.3%)

series54.0ms (0.6%)

rewrite540.0ms (5.5%)

simplify372.0ms (3.8%)

eval367.0ms (3.7%)

prune251.0ms (2.5%)

simplify206.0ms (2.1%)

localize210.0ms (2.1%)

series30.0ms (0.3%)

rewrite402.0ms (4.1%)

simplify579.0ms (5.9%)

eval252.0ms (2.6%)

prune228.0ms (2.3%)

simplify255.0ms (2.6%)

localize335.0ms (3.4%)

series50.0ms (0.5%)

rewrite525.0ms (5.3%)

simplify724.0ms (7.4%)

eval278.0ms (2.8%)

prune332.0ms (3.4%)

regimes111.0ms (1.1%)

regimes66.0ms (0.7%)

regimes113.0ms (1.1%)

regimes8.0ms (0.1%)

simplify9.0ms (0.1%)

soundness1.4s (13.9%)

preprocess39.0ms (0.4%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	7	24
1	12	24
2	19	24
3	28	24
4	50	24
5	123	24
6	278	24
7	436	24
8	581	23
9	722	23
10	871	23
11	943	23
12	957	23
13	970	23
14	990	23
15	998	23
0	998	23