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)

sample874.0ms (10.7%)

Results

538.0ms	7956×	0	valid
30.0ms	94×	2	valid
15.0ms	69×	3	valid
14.0ms	137×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 365.0ms

ival-div: 140.0ms (38.3% of total)

ival-sub: 82.0ms (22.4% of total)

ival-add: 64.0ms (17.5% of total)

ival-fabs: 60.0ms (16.4% of total)

const: 11.0ms (3% of total)

backward-pass: 8.0ms (2.2% of total)

Bogosity

preprocess99.0ms (1.2%)

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)

explain173.0ms (2.1%)

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

136.0ms	494×	0	valid
2.0ms	6×	3	valid
1.0ms	8×	1	valid
1.0ms	4×	2	valid

Compiler

Compiled 64 to 23 computations (64.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 42.0ms

ival-div: 29.0ms (68.2% of total)

ival-add: 5.0ms (11.8% of total)

ival-sub: 4.0ms (9.4% of total)

ival-fabs: 3.0ms (7.1% of total)

const: 1.0ms (2.4% of total)

backward-pass: 1.0ms (2.4% 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)

simplify35.0ms (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)

localize32.0ms (0.4%)

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

19.0ms	247×	0	valid
1.0ms	3×	3	valid
1.0ms	4×	1	valid
1.0ms	2×	2	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 (26.4% of total)

ival-sub: 2.0ms (26.4% of total)

ival-fabs: 2.0ms (26.4% of total)

ival-add: 1.0ms (13.2% 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))

rewrite389.0ms (4.8%)

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 (/.f64 (-.f64 (.f64 y y) (.f64 x x)) (-.f64 (.f64 y y) (*.f64 x x))) (-.f64 y x))
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(.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))))

simplify134.0ms (1.6%)

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)

eval32.0ms (0.4%)

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

prune41.0ms (0.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	285	6	291
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	285	7	292

Accuracy

100.0%

Counts

292 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	48.4%	(/.f64 (-.f64 (/.f64 (.f64 (-.f64 y x) (-.f64 y x)) #s(literal 4 binary64)) (.f64 x x)) (-.f64 (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) x))
	48.3%	(/.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))))
✓	99.9%	(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
▶	57.4%	(+.f64 x (/.f64 (fabs.f64 y) #s(literal 2 binary64)))
▶	99.2%	(+.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))))
▶	52.0%	(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)))
▶	11.4%	x

Compiler

Compiled 190 to 111 computations (41.6% saved)

simplify187.0ms (2.3%)

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

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

Rules

2518×	`--lowering--.f32`
2518×	`--lowering--.f64`
1552×	`div-sub`
1508×	`-lowering-.f32`
1508×	`-lowering-.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	25	141
1	49	141
2	85	135
3	178	134
4	596	134
5	2712	134
6	6827	134
0	8366	134

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize151.0ms (1.8%)

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	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	73.6%	(-.f64 (/.f64 (.f64 (-.f64 y x) (-.f64 y x)) #s(literal 4 binary64)) (.f64 x x))
✓	accuracy	50.5%	(/.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%	(/.f64 (fabs.f64 y) #s(literal 2 binary64))
✓	accuracy	100.0%	(+.f64 x (/.f64 (fabs.f64 y) #s(literal 2 binary64)))
✓	accuracy	100.0%	(fabs.f64 y)
✓	accuracy	100.0%	(-.f64 x y)
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)))
✓	accuracy	100.0%	(fabs.f64 (-.f64 x y))
✓	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	99.8%	(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)))

Results

77.0ms	219×	0	valid
16.0ms	14×	2	valid
13.0ms	10×	3	valid
8.0ms	13×	1	valid

Compiler

Compiled 175 to 26 computations (85.1% saved)

Precisions

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

ival-mult: 29.0ms (38.5% of total)

ival-pow: 12.0ms (15.9% of total)

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

ival-sub: 7.0ms (9.3% of total)

backward-pass: 6.0ms (8% of total)

ival-fabs: 5.0ms (6.6% of total)

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

const: 1.0ms (1.3% of total)

series44.0ms (0.5%)

Counts

15 → 336

Calls

Call 1

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

84 calls:

Time	Variable		Point	Expression
18.0ms	y	@	0	(/ (- (/ (* (- y x) (- y x)) 4) (* x x)) (- (/ (fabs (- y x)) 2) x))
3.0ms	x	@	-inf	(/ (- (/ (* (- y x) (- y x)) 4) (* x x)) (- (/ (fabs (- y x)) 2) x))
2.0ms	y	@	-inf	(/ 2 (fabs (- y x)))
1.0ms	x	@	inf	(/ (- (/ (* (- y x) (- y x)) 4) (* x x)) (- (/ (fabs (- y x)) 2) x))
1.0ms	y	@	0	(+ x (* (pow (/ 2 (fabs (- y x))) -1/2) (pow (/ 2 (fabs (- y x))) -1/2)))

rewrite385.0ms (4.7%)

Algorithm

1×	batch-egg-rewrite

Rules

3540×	`/-lowering-/.f32`
3540×	`/-lowering-/.f64`
3132×	`-lowering-.f32`
3132×	`-lowering-.f64`
1386×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	96
1	161	83
2	1513	83
0	8548	83

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 787

Calls

Call 1

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

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

simplify387.0ms (4.7%)

Algorithm

1×	egg-herbie

Rules

4410×	`-lowering-.f32`
4410×	`-lowering-.f64`
3156×	`+-lowering-+.f64`
3156×	`+-lowering-+.f32`
1546×	`neg-lowering-neg.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	348	3508
1	1141	2999
2	3442	2835
0	8116	2835

Stop Event

1×	iter limit
1×	node limit

Counts

336 → 336

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

eval211.0ms (2.6%)

Compiler: Compiled 36501 to 2577 computations (92.9% saved)

prune161.0ms (2%)

Pruning

12 alts after pruning (8 fresh and 4 done)

	Pruned	Kept	Total
New	1219	7	1226
Fresh	0	1	1
Picked	2	3	5
Done	0	1	1
Total	1221	12	1233

Accuracy

100.0%

Counts

1233 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	6.4%	(/.f64 (-.f64 (/.f64 (.f64 (-.f64 y x) (-.f64 y x)) #s(literal 4 binary64)) (.f64 x x)) (-.f64 #s(literal 0 binary64) x))
▶	27.0%	(/.f64 (.f64 (.f64 x x) #s(literal -3/4 binary64)) (-.f64 (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) x))
	48.3%	(/.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))))
✓	99.9%	(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
✓	57.4%	(+.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)) (pow.f64 (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
✓	99.2%	(+.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))))
▶	98.8%	(+.f64 x (.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 y x))) #s(literal -1/2 binary64)) (.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))))
▶	11.5%	(*.f64 x #s(literal 3/4 binary64))
	49.1%	(*.f64 #s(literal 1/2 binary64) (fabs.f64 y))
▶	6.8%	(*.f64 #s(literal 1/2 binary64) (fabs.f64 x))
✓	11.4%	x

Compiler

Compiled 288 to 187 computations (35.1% saved)

simplify166.0ms (2%)

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	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))))
✓	cost-diff	0	(-.f64 (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) x)
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 (.f64 x x) #s(literal -3/4 binary64))
✓	cost-diff	0	(/.f64 (.f64 (.f64 x x) #s(literal -3/4 binary64)) (-.f64 (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) x))
✓	cost-diff	0	(fabs.f64 x)
✓	cost-diff	0	(*.f64 #s(literal 1/2 binary64) (fabs.f64 x))
✓	cost-diff	0	(*.f64 x #s(literal 3/4 binary64))
✓	cost-diff	6528	(pow.f64 (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
✓	cost-diff	12992	(*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
✓	cost-diff	12992	(.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 y x))) #s(literal -1/2 binary64)) (.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/4 binary64)) #s(literal 2 binary64))))
✓	cost-diff	12992	(+.f64 x (.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 y x))) #s(literal -1/2 binary64)) (.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))))

Rules

2232×	`fnmadd-define`
1986×	`-lowering-.f32`
1986×	`-lowering-.f64`
1318×	`sum3-define`
1150×	`fmsub-define`

Iterations

Useful iterations: 8 (0.0ms)

Iter	Nodes	Cost
0	34	219
1	59	185
2	147	185
3	329	185
4	626	185
5	1034	185
6	1679	185
7	2975	185
8	5422	183
0	8012	183

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize310.0ms (3.8%)

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fabs.f64 (-.f64 y x))
✓	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))
✓	accuracy	100.0%	(fabs.f64 (-.f64 y x))
✓	accuracy	99.9%	(-.f64 (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) x)
✓	accuracy	99.8%	(.f64 (.f64 x x) #s(literal -3/4 binary64))
✓	accuracy	71.6%	(/.f64 (.f64 (.f64 x x) #s(literal -3/4 binary64)) (-.f64 (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) x))
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) (fabs.f64 x))
✓	accuracy	100.0%	(fabs.f64 x)
✓	accuracy	100.0%	(*.f64 x #s(literal 3/4 binary64))
✓	accuracy	99.3%	(*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
✓	accuracy	99.2%	(.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 y x))) #s(literal -1/2 binary64)) (.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/4 binary64)) #s(literal 2 binary64))))
✓	accuracy	99.2%	(pow.f64 (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
✓	accuracy	98.5%	(pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)) #s(literal 2 binary64))

Results

133.0ms	219×	0	valid
58.0ms	7×	5	exit
23.0ms	10×	3	valid
12.0ms	13×	1	valid
10.0ms	7×	2	valid

Compiler

Compiled 238 to 35 computations (85.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 129.0ms

ival-pow: 77.0ms (59.9% of total)

ival-mult: 17.0ms (13.2% of total)

ival-sub: 12.0ms (9.3% of total)

ival-div: 7.0ms (5.4% of total)

backward-pass: 6.0ms (4.7% of total)

ival-fabs: 4.0ms (3.1% of total)

ival-add: 3.0ms (2.3% of total)

const: 1.0ms (0.8% of total)

series17.0ms (0.2%)

Counts

17 → 300

Calls

Call 1

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

Calls

75 calls:

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

rewrite319.0ms (3.9%)

Algorithm

1×	batch-egg-rewrite

Rules

4200×	`-lowering-.f32`
4200×	`-lowering-.f64`
3554×	`/-lowering-/.f32`
3554×	`/-lowering-/.f64`
1806×	`frac-times`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	34	142
1	184	126
2	1236	85
0	8859	85

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 464

Calls

Call 1

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

simplify235.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

3654×	`-lowering-.f32`
3654×	`-lowering-.f64`
1828×	`fnmadd-define`
1292×	`fma-lowering-fma.f32`
1292×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	149	2194
1	437	1814
2	1115	1801
3	3944	1789
0	8425	1789

Stop Event

1×	iter limit
1×	node limit

Counts

300 → 300

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

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

eval114.0ms (1.4%)

Compiler: Compiled 20876 to 1701 computations (91.9% saved)

prune99.0ms (1.2%)

Pruning

12 alts after pruning (6 fresh and 6 done)

	Pruned	Kept	Total
New	940	4	944
Fresh	1	2	3
Picked	2	3	5
Done	1	3	4
Total	944	12	956

Accuracy

100.0%

Counts

956 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	6.4%	(/.f64 (-.f64 (/.f64 (.f64 (-.f64 y x) (-.f64 y x)) #s(literal 4 binary64)) (.f64 x x)) (-.f64 #s(literal 0 binary64) x))
✓	27.0%	(/.f64 (.f64 (.f64 x x) #s(literal -3/4 binary64)) (-.f64 (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) x))
▶	8.3%	(/.f64 (.f64 (.f64 x x) #s(literal -3/4 binary64)) (-.f64 #s(literal 0 binary64) x))
▶	26.9%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) x) (.f64 (.f64 x x) #s(literal -3/4 binary64))))
✓	99.9%	(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
✓	57.4%	(+.f64 x (/.f64 (fabs.f64 y) #s(literal 2 binary64)))
	98.3%	(+.f64 x (*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)) #s(literal 4 binary64)) (fabs.f64 (-.f64 y x))))
▶	98.3%	(+.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))))
✓	11.5%	(*.f64 x #s(literal 3/4 binary64))
▶	49.1%	(*.f64 #s(literal 1/2 binary64) (fabs.f64 y))
✓	6.8%	(*.f64 #s(literal 1/2 binary64) (fabs.f64 x))
✓	11.4%	x

Compiler

Compiled 212 to 151 computations (28.8% saved)

simplify185.0ms (2.3%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))
✓	cost-diff	0	(-.f64 (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) x)
✓	cost-diff	128	(/.f64 (-.f64 (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) x) (.f64 (.f64 x x) #s(literal -3/4 binary64)))
✓	cost-diff	256	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) x) (.f64 (.f64 x x) #s(literal -3/4 binary64))))
✓	cost-diff	0	(fabs.f64 y)
✓	cost-diff	0	(*.f64 #s(literal 1/2 binary64) (fabs.f64 y))
✓	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 #s(literal 0 binary64) x)
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 (.f64 x x) #s(literal -3/4 binary64))
✓	cost-diff	384	(/.f64 (.f64 (.f64 x x) #s(literal -3/4 binary64)) (-.f64 #s(literal 0 binary64) x))
✓	cost-diff	0	(pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))
✓	cost-diff	12928	(pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64))
✓	cost-diff	12928	(*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (fabs.f64 (-.f64 y x)))
✓	cost-diff	12928	(+.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))))

Rules

2534×	`-lowering-.f32`
2534×	`-lowering-.f64`
2058×	`/-lowering-/.f32`
2058×	`/-lowering-/.f64`
1252×	`+-lowering-+.f64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	29	172
1	67	155
2	170	150
3	498	147
4	2061	146
0	8143	146

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize224.0ms (2.7%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(-.f64 (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) x)
✓	accuracy	99.8%	(.f64 (.f64 x x) #s(literal -3/4 binary64))
✓	accuracy	99.4%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) x) (.f64 (.f64 x x) #s(literal -3/4 binary64))))
✓	accuracy	73.0%	(/.f64 (-.f64 (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) x) (.f64 (.f64 x x) #s(literal -3/4 binary64)))
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) (fabs.f64 y))
✓	accuracy	100.0%	(fabs.f64 y)
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(*.f64 (-.f64 y x) (-.f64 y x))
✓	accuracy	75.9%	(-.f64 (/.f64 (.f64 (-.f64 y x) (-.f64 y x)) #s(literal 4 binary64)) (.f64 x x))
✓	accuracy	69.2%	(/.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 #s(literal 0 binary64) x)
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.8%	(.f64 (.f64 x x) #s(literal -3/4 binary64))
✓	accuracy	55.2%	(/.f64 (.f64 (.f64 x x) #s(literal -3/4 binary64)) (-.f64 #s(literal 0 binary64) x))
✓	accuracy	100.0%	(*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (fabs.f64 (-.f64 y x)))
✓	accuracy	100.0%	(fabs.f64 (-.f64 y x))
✓	accuracy	100.0%	(+.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))))
✓	accuracy	98.5%	(pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64))

Results

61.0ms	68×	1	valid
55.0ms	161×	0	valid
25.0ms	7×	2	valid
18.0ms	9×	5	exit
14.0ms	11×	3	valid

Compiler

Compiled 198 to 30 computations (84.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 101.0ms

ival-sub: 32.0ms (31.8% of total)

ival-div: 17.0ms (16.9% of total)

ival-pow: 17.0ms (16.9% of total)

ival-mult: 16.0ms (15.9% of total)

backward-pass: 11.0ms (10.9% of total)

ival-fabs: 4.0ms (4% of total)

const: 2.0ms (2% of total)

ival-add: 2.0ms (2% of total)

series17.0ms (0.2%)

Counts

19 → 336

Calls

Call 1

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

Calls

84 calls:

Time	Variable		Point	Expression
5.0ms	x	@	-inf	(* (- y x) (- y x))
1.0ms	x	@	0	(/ (- (/ (* (- y x) (- y x)) 4) (* x x)) (- 0 x))
1.0ms	y	@	0	(/ (- (/ (fabs (- y x)) 2) x) (* (* x x) -3/4))
1.0ms	y	@	inf	(/ (- (/ (fabs (- y x)) 2) x) (* (* x x) -3/4))
1.0ms	y	@	-inf	(/ (- (/ (fabs (- y x)) 2) x) (* (* x x) -3/4))

rewrite420.0ms (5.1%)

Algorithm

1×	batch-egg-rewrite

Rules

3592×	`-lowering-.f32`
3592×	`-lowering-.f64`
3578×	`/-lowering-/.f32`
3578×	`/-lowering-/.f64`
1886×	`--lowering--.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	29	115
1	191	105
2	1581	103
0	8607	103

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 963

Calls

Call 1

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

simplify295.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

4578×	`-lowering-.f32`
4578×	`-lowering-.f64`
2350×	`/-lowering-/.f32`
2350×	`/-lowering-/.f64`
1932×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	324	3147
1	1028	2622
2	2895	2515
0	8158	2515

Stop Event

1×	iter limit
1×	node limit

Counts

336 → 336

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

eval211.0ms (2.6%)

Compiler: Compiled 39231 to 3963 computations (89.9% saved)

prune215.0ms (2.6%)

Pruning

44 alts after pruning (38 fresh and 6 done)

	Pruned	Kept	Total
New	1442	37	1479
Fresh	0	1	1
Picked	4	1	5
Done	1	5	6
Total	1447	44	1491

Accuracy

100.0%

Counts

1491 → 44

Alt Table

Click to see full alt table

Status	Accuracy	Program
	3.1%	(/.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 #s(literal 0 binary64) x))
	3.5%	(/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (/.f64 (/.f64 #s(literal 4 binary64) (-.f64 y x)) (-.f64 y x)) (-.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 0 binary64)))) (.f64 (/.f64 (/.f64 #s(literal 4 binary64) (-.f64 y x)) (-.f64 y x)) (*.f64 x x))) (-.f64 #s(literal 0 binary64) x))
	1.6%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.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 x x) (.f64 (-.f64 y x) (/.f64 (-.f64 y x) #s(literal 4 binary64)))))) (-.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 x) (.f64 x (.f64 x (*.f64 x x))))))) (-.f64 #s(literal 0 binary64) x))
	3.1%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x x) (.f64 (-.f64 y x) (/.f64 (-.f64 y x) #s(literal 4 binary64)))) (-.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 #s(literal 0 binary64) x))
	1.9%	(/.f64 (-.f64 (/.f64 (/.f64 (.f64 (-.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x))) (-.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x)))) (.f64 (+.f64 (.f64 y y) (.f64 x (+.f64 x y))) (+.f64 (.f64 y y) (.f64 x (+.f64 x y))))) #s(literal 4 binary64)) (*.f64 x x)) (-.f64 #s(literal 0 binary64) x))
	1.5%	(/.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 x) (.f64 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 x x) (.f64 (-.f64 y x) (/.f64 (-.f64 y x) #s(literal 4 binary64))))))))
	4.1%	(/.f64 (-.f64 (/.f64 (.f64 (.f64 y y) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x (-.f64 #s(literal 2 binary64) (/.f64 x y))) y))) #s(literal 4 binary64)) (.f64 x x)) (-.f64 #s(literal 0 binary64) x))
	7.8%	(/.f64 (-.f64 (/.f64 (.f64 y (+.f64 y (.f64 x #s(literal -2 binary64)))) #s(literal 4 binary64)) (*.f64 x x)) (-.f64 #s(literal 0 binary64) x))
	6.4%	(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 4 binary64) (-.f64 y x)) (-.f64 y x))) (*.f64 x x)) (-.f64 #s(literal 0 binary64) x))
	4.3%	(/.f64 (-.f64 (.f64 (neg.f64 (.f64 (-.f64 y x) (/.f64 (-.f64 y x) #s(literal 4 binary64)))) x) (.f64 x (-.f64 #s(literal 0 binary64) (.f64 x x)))) (*.f64 x x))
	4.2%	(/.f64 (-.f64 (.f64 x x) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (.f64 (-.f64 y x) (/.f64 (-.f64 y x) #s(literal 4 binary64)))) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))))) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (.f64 (-.f64 y x) (/.f64 (-.f64 y x) #s(literal 4 binary64)))) (.f64 x x)))
	6.0%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) x) (.f64 (.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (/.f64 #s(literal 4 binary64) (-.f64 y x)) (-.f64 y x))) (-.f64 #s(literal 0 binary64) (.f64 x x)))) (.f64 (.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (/.f64 #s(literal 4 binary64) (-.f64 y x)) (-.f64 y x))) x))
	3.5%	(/.f64 (.f64 (/.f64 (-.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 0 binary64)) (*.f64 x x)) #s(literal -3/4 binary64)) (-.f64 #s(literal 0 binary64) x))
	3.0%	(/.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 #s(literal -1 binary64) x)) (+.f64 (.f64 x x) (*.f64 (-.f64 y x) (/.f64 (-.f64 y x) #s(literal 4 binary64)))))
	8.3%	(/.f64 (.f64 (.f64 x x) #s(literal 3/4 binary64)) x)
	5.5%	(/.f64 (.f64 (.f64 x x) #s(literal -3/4 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x x)))))
✓	27.0%	(/.f64 (.f64 (.f64 x x) #s(literal -3/4 binary64)) (-.f64 (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) x))
	2.8%	(/.f64 (.f64 y (.f64 y #s(literal -1/4 binary64))) x)
	27.2%	(/.f64 (.f64 x (+.f64 (.f64 x #s(literal -3/4 binary64)) (*.f64 y #s(literal -1/2 binary64)))) (-.f64 #s(literal 0 binary64) x))
	8.3%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) x) (.f64 (.f64 x x) #s(literal -3/4 binary64))))
	51.9%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4/3 binary64) (*.f64 (fabs.f64 (-.f64 y x)) (/.f64 #s(literal -2/3 binary64) x))) x))
	11.5%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 4/3 binary64) x))
	11.5%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3/4 binary64) (-.f64 #s(literal 0 binary64) x))))
	4.8%	(-.f64 (/.f64 (.f64 (.f64 (-.f64 y x) (/.f64 (-.f64 y x) #s(literal 4 binary64))) (-.f64 #s(literal 0 binary64) x)) (*.f64 x x)) (-.f64 #s(literal 0 binary64) x))
	5.6%	(-.f64 (/.f64 (.f64 (.f64 (.f64 (-.f64 y x) (-.f64 y x)) (/.f64 #s(literal -1/4 binary64) x)) (.f64 (.f64 (-.f64 y x) (-.f64 y x)) (/.f64 #s(literal -1/4 binary64) x))) (+.f64 (.f64 (.f64 (-.f64 y x) (-.f64 y x)) (/.f64 #s(literal -1/4 binary64) x)) (-.f64 #s(literal 0 binary64) x))) (/.f64 (.f64 x x) (+.f64 (.f64 (.f64 (-.f64 y x) (-.f64 y x)) (/.f64 #s(literal -1/4 binary64) x)) (-.f64 #s(literal 0 binary64) x))))
	11.7%	(-.f64 #s(literal 0 binary64) (.f64 x (-.f64 #s(literal -3/4 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y #s(literal -1/4 binary64)) x)) (/.f64 y x)))))
	7.0%	(+.f64 (.f64 (.f64 (-.f64 y x) (-.f64 y x)) (/.f64 #s(literal -1/4 binary64) x)) x)
	11.8%	(+.f64 (.f64 x #s(literal 3/4 binary64)) (.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y #s(literal -1/4 binary64)) x))))
	33.0%	(+.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)))
✓	57.4%	(+.f64 x (/.f64 (fabs.f64 y) #s(literal 2 binary64)))
	98.3%	(+.f64 x (*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)) #s(literal 4 binary64)) (fabs.f64 (-.f64 y x))))
	6.0%	(.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 x))) x)
	4.1%	(.f64 (/.f64 (.f64 (.f64 x x) #s(literal 3/4 binary64)) (.f64 x (.f64 x x))) (.f64 x x))
	5.5%	(.f64 (/.f64 (.f64 x (.f64 x #s(literal -3/4 binary64))) (-.f64 #s(literal 0 binary64) (.f64 x x))) x)
	8.3%	(.f64 (/.f64 #s(literal 3/4 binary64) x) (.f64 x x))
	8.3%	(.f64 (/.f64 #s(literal -1 binary64) x) (.f64 x (*.f64 x #s(literal -3/4 binary64))))
	6.3%	(.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)))
	3.2%	(.f64 (.f64 y y) (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/4 binary64) x)))
	11.5%	(.f64 x (.f64 (*.f64 x #s(literal -3/4 binary64)) (/.f64 #s(literal -1 binary64) x)))
	11.5%	(.f64 x (.f64 x (/.f64 #s(literal 3/4 binary64) x)))
✓	11.5%	(*.f64 x #s(literal 3/4 binary64))
✓	49.1%	(*.f64 #s(literal 1/2 binary64) (fabs.f64 y))
✓	11.4%	x

Compiler

Compiled 2130 to 739 computations (65.3% saved)

regimes80.0ms (1%)

Counts

55 → 1

Calls

Call 1

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

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

Calls

3 calls:

39.0ms	y
18.0ms	(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
15.0ms	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)

regimes38.0ms (0.5%)

Counts

44 → 1

Calls

Call 1

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

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

Calls

2 calls:

18.0ms	y
14.0ms	x

Results

Accuracy	Segments	Branch
57.4%	1	`x`
57.4%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes81.0ms (1%)

Counts

43 → 2

Calls

Call 1

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

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

Calls

2 calls:

52.0ms	y
12.0ms	x

Results

Accuracy	Segments	Branch
54.2%	2	`x`
55.8%	2	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes20.0ms (0.2%)

Counts

42 → 2

Calls

Call 1

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

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

Calls

1 calls:

12.0ms

Results

Accuracy	Segments	Branch
55.1%	2	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes27.0ms (0.3%)

Counts

41 → 1

Calls

Call 1

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

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

Calls

2 calls:

13.0ms	x
12.0ms	y

Results

Accuracy	Segments	Branch
33.0%	1	`x`
33.0%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0.1%)

Counts

5 → 1

Calls

Call 1

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

Outputs
(*.f64 x #s(literal 3/4 binary64))

Calls

2 calls:

2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
11.5%	1	`y`
11.5%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

2 calls:

1.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
11.4%	1	`y`
11.4%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch14.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	-6.02565299875464e-126	-6.2128718017111905e-127

Results

5.0ms	87×	0	valid
4.0ms	6×	2	valid
1.0ms	3×	3	valid

Compiler

Compiled 129 to 101 computations (21.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-fabs: 3.0ms (50.7% of total)

ival-div: 1.0ms (16.9% of total)

ival-sub: 1.0ms (16.9% of total)

ival-add: 1.0ms (16.9% of total)

const: 0.0ms (0% of total)

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

bsearch10.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	-6.02565299875464e-126	-6.2128718017111905e-127

Results

5.0ms	92×	0	valid
1.0ms	3×	2	valid
0.0ms	1×	1	valid

Compiler

Compiled 117 to 95 computations (18.8% saved)

Precisions

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

ival-div: 1.0ms (36% of total)

ival-sub: 1.0ms (36% of total)

ival-add: 1.0ms (36% of total)

ival-fabs: 1.0ms (36% of total)

const: 0.0ms (0% of total)

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

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

14×	`+-commutative_binary64`
12×	`*-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	23	57
1	35	57
2	43	57
3	47	57
4	49	57

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)))
(if (<=.f64 y #s(literal -7804371375789981/12194330274671844653834364178879555881830461494785043558043581873536608354764709453594945715091765512343073949692994620685343654997219864477696 binary64)) (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) (+.f64 (.f64 x #s(literal 3/4 binary64)) (*.f64 y #s(literal 1/2 binary64))))
(if (<=.f64 y #s(literal -7804371375789981/12194330274671844653834364178879555881830461494785043558043581873536608354764709453594945715091765512343073949692994620685343654997219864477696 binary64)) (.f64 #s(literal 1/2 binary64) (fabs.f64 y)) (+.f64 (.f64 x #s(literal 3/4 binary64)) (*.f64 y #s(literal 1/2 binary64))))
(+.f64 (.f64 x #s(literal 3/4 binary64)) (.f64 y #s(literal 1/2 binary64)))
(*.f64 x #s(literal 3/4 binary64))
x

Outputs
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
(+.f64 x (/.f64 (fabs.f64 y) #s(literal 2 binary64)))
(if (<=.f64 y #s(literal -7804371375789981/12194330274671844653834364178879555881830461494785043558043581873536608354764709453594945715091765512343073949692994620685343654997219864477696 binary64)) (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) (+.f64 (.f64 x #s(literal 3/4 binary64)) (*.f64 y #s(literal 1/2 binary64))))
(if (<=.f64 y #s(literal -7804371375789981/12194330274671844653834364178879555881830461494785043558043581873536608354764709453594945715091765512343073949692994620685343654997219864477696 binary64)) (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))) (+.f64 (.f64 x #s(literal 3/4 binary64)) (*.f64 y #s(literal 1/2 binary64))))
(if (<=.f64 y #s(literal -7804371375789981/12194330274671844653834364178879555881830461494785043558043581873536608354764709453594945715091765512343073949692994620685343654997219864477696 binary64)) (.f64 #s(literal 1/2 binary64) (fabs.f64 y)) (+.f64 (.f64 x #s(literal 3/4 binary64)) (*.f64 y #s(literal 1/2 binary64))))
(if (<=.f64 y #s(literal -7804371375789981/12194330274671844653834364178879555881830461494785043558043581873536608354764709453594945715091765512343073949692994620685343654997219864477696 binary64)) (.f64 (fabs.f64 y) #s(literal 1/2 binary64)) (+.f64 (.f64 x #s(literal 3/4 binary64)) (*.f64 y #s(literal 1/2 binary64))))
(+.f64 (.f64 x #s(literal 3/4 binary64)) (.f64 y #s(literal 1/2 binary64)))
(*.f64 x #s(literal 3/4 binary64))
x

soundness1.6s (19.7%)

Rules

4578×	`-lowering-.f32`
4578×	`-lowering-.f64`
4410×	`-lowering-.f32`
4410×	`-lowering-.f64`
3156×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	21
1	47	20
2	402	20
3	5830	20
0	8059	20
0	324	3147
1	1028	2622
2	2895	2515
0	8158	2515
0	348	3508
1	1141	2999
2	3442	2835
0	8116	2835
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 256 to 141 computations (44.9% saved)

preprocess112.0ms (1.4%)

Compiler: Compiled 138 to 56 computations (59.4% 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%)

sample874.0ms (10.7%)

preprocess99.0ms (1.2%)

explain173.0ms (2.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify35.0ms (0.4%)

localize32.0ms (0.4%)

series4.0ms (0%)

rewrite389.0ms (4.8%)

simplify134.0ms (1.6%)

eval32.0ms (0.4%)

prune41.0ms (0.5%)

simplify187.0ms (2.3%)

localize151.0ms (1.8%)

series44.0ms (0.5%)

rewrite385.0ms (4.7%)

simplify387.0ms (4.7%)

eval211.0ms (2.6%)

prune161.0ms (2%)

simplify166.0ms (2%)

localize310.0ms (3.8%)

series17.0ms (0.2%)

rewrite319.0ms (3.9%)

simplify235.0ms (2.9%)

eval114.0ms (1.4%)

prune99.0ms (1.2%)

simplify185.0ms (2.3%)

localize224.0ms (2.7%)

series17.0ms (0.2%)

rewrite420.0ms (5.1%)

simplify295.0ms (3.6%)

eval211.0ms (2.6%)

prune215.0ms (2.6%)

regimes80.0ms (1%)

regimes38.0ms (0.5%)

regimes81.0ms (1%)

regimes20.0ms (0.2%)

regimes27.0ms (0.3%)

regimes5.0ms (0.1%)

regimes3.0ms (0%)

bsearch14.0ms (0.2%)

bsearch10.0ms (0.1%)

simplify10.0ms (0.1%)

soundness1.6s (19.7%)

preprocess112.0ms (1.4%)

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