Metrics for Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5

analyze17.0ms (0.7%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
50%	50%	50%	0.1%	0%	0%	0%	3
50%	50%	50%	0.1%	0%	0%	0%	4
75%	74.9%	25%	0.1%	0%	0%	0%	5
75%	74.9%	25%	0.1%	0%	0%	0%	6
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	7
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	8
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	9
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	10
96.9%	96.8%	3.1%	0.1%	0%	0%	0%	11
96.9%	96.8%	3.1%	0.1%	0%	0%	0%	12

Compiler

Compiled 10 to 7 computations (30% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-fabs: 3.0ms (55.2% of total)

ival-sub: 1.0ms (18.4% of total)

ival-div: 1.0ms (18.4% of total)

const: 0.0ms (0% of total)

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

sample698.0ms (29.6%)

Results

515.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 320.0ms

ival-sub: 130.0ms (40.7% of total)

ival-fabs: 102.0ms (31.9% of total)

ival-div: 77.0ms (24.1% of total)

const: 7.0ms (2.2% of total)

backward-pass: 2.0ms (0.6% of total)

Bogosity

preprocess45.0ms (1.9%)

Algorithm

2×	egg-herbie

Rules

208×	`fmsub-define`
208×	`fnmadd-define`
202×	`fma-define`
198×	`sum3-define`
160×	`fmm-def`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	48
1	50	44
2	102	44
3	244	44
4	488	44
5	695	44
6	780	44
7	850	44
8	928	44
9	944	44
10	953	44
11	964	44
12	1024	44
13	1025	44
0	6	7
1	10	7
2	17	7
3	26	7
4	48	7
5	118	7
6	265	7
7	384	7
8	458	7
9	487	7
10	487	7
0	487	7

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

Outputs
(/ (fabs (- x y)) (fabs y))
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))

Call 2

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

Outputs
(/ (fabs (- x y)) (fabs y))
(/ (fabs (- (neg x) y)) (fabs y))
(/ (fabs (+ x y)) (fabs y))
(/ (fabs (- x (neg y))) (fabs (neg y)))
(/ (fabs (+ x y)) (fabs y))
(neg (/ (fabs (- (neg x) y)) (fabs y)))
(/ (fabs (+ x y)) (neg (fabs y)))
(neg (/ (fabs (- x (neg y))) (fabs (neg y))))
(/ (fabs (+ x y)) (neg (fabs y)))
(/ (fabs (- y x)) (fabs x))
(/ (fabs (- x y)) (fabs x))

explain59.0ms (2.5%)

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`x`
-	-	`(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))`
-	-	`(-.f64 x y)`
-	-	`(fabs.f64 (-.f64 x y))`
-	-	`(fabs.f64 y)`
-	-	`y`

Results

38.0ms

512×

valid

Compiler

Compiled 51 to 20 computations (60.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-fabs: 12.0ms (61.7% of total)

ival-div: 4.0ms (20.6% of total)

ival-sub: 3.0ms (15.4% of total)

const: 0.0ms (0% of total)

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

eval0.0ms (0%)

Compiler: Compiled 9 to 6 computations (33.3% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify20.0ms (0.9%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Program
✓	cost-diff	(fabs.f64 y)
✓	cost-diff	(-.f64 x y)
✓	cost-diff	(fabs.f64 (-.f64 x y))
✓	cost-diff	(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))

Rules

98×	`sum3-define`
96×	`fnmadd-define`
80×	`fma-lowering-fma.f32`
80×	`fnmsub-define`
80×	`fmsub-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
1	10	18
2	17	18
3	26	18
4	48	18
5	118	18
6	265	18
7	384	18
8	458	18
9	487	18
10	487	18
0	487	18

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

Outputs
(/ (fabs (- x y)) (fabs y))
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
(fabs (- x y))
(fabs.f64 (-.f64 x y))
(- x y)
(-.f64 x y)
x
y
(fabs y)
(fabs.f64 y)

localize23.0ms (1%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 x y)
✓	accuracy	100.0%	(fabs.f64 (-.f64 x y))
✓	accuracy	100.0%	(fabs.f64 y)
✓	accuracy	100.0%	(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))

Results

16.0ms

256×

valid

Compiler

Compiled 21 to 7 computations (66.7% saved)

Precisions

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

ival-fabs: 3.0ms (44.3% of total)

ival-sub: 2.0ms (29.5% of total)

ival-div: 2.0ms (29.5% of total)

const: 0.0ms (0% of total)

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

series8.0ms (0.3%)

Counts

4 → 84

Calls

Call 1

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

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

Calls

21 calls:

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

rewrite272.0ms (11.5%)

Algorithm

1×	batch-egg-rewrite

Rules

2354×	`fma-lowering-fma.f32`
2354×	`fma-lowering-fma.f64`
2322×	`-lowering-.f32`
2322×	`-lowering-.f64`
1758×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
1	36	15
2	257	15
3	2526	15
0	8741	15

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 336

Calls

Call 1

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

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

simplify121.0ms (5.1%)

Algorithm

1×	egg-herbie

Rules

1970×	`sum3-define`
1500×	`fnmsub-define`
1354×	`fnmadd-define`
1320×	`fmm-def`
1276×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	351
1	80	351
2	203	351
3	644	351
4	2320	351
5	4394	351
6	6627	351
0	8029	351

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 84

Calls

Call 1

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

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

eval59.0ms (2.5%)

Compiler: Compiled 13265 to 1269 computations (90.4% saved)

prune45.0ms (1.9%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	419	1	420
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	420	1	421

Accuracy

100.0%

Counts

421 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)))

Compiler

Compiled 8 to 6 computations (25% saved)

simplify75.0ms (3.2%)

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

432×	`fnmadd-define`
274×	`fma-define`
262×	`fnmsub-define`
252×	`fmsub-define`
222×	`fmm-def`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	17
1	12	17
2	22	17
3	32	17
4	52	17
5	77	17
6	126	17
7	187	17
8	442	17
9	1161	17
10	1196	17
11	1226	17
12	1245	17
13	1253	17
0	1253	17

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(fabs (- 1 (/ x y)))
(- 1 (/ x y))
1
(/ x y)
x
y

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

localize52.0ms (2.2%)

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 x y)
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) (/.f64 x y))
✓	accuracy	100.0%	(fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)))

Results

45.0ms

256×

valid

Compiler

Compiled 20 to 7 computations (65% saved)

Precisions

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

ival-sub: 3.0ms (40.8% of total)

ival-div: 2.0ms (27.2% of total)

ival-fabs: 2.0ms (27.2% of total)

const: 0.0ms (0% of total)

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

series4.0ms (0.2%)

Counts

3 → 72

Calls

Call 1

Inputs
#<alt (fabs (- 1 (/ x y)))>
#<alt (- 1 (/ x y))>
#<alt (/ x y)>

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

Calls

18 calls:

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

rewrite201.0ms (8.5%)

Algorithm

1×	batch-egg-rewrite

Rules

2764×	`fma-lowering-fma.f32`
2764×	`fma-lowering-fma.f64`
1758×	`-lowering-.f32`
1758×	`-lowering-.f64`
1626×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	14
1	34	14
2	266	14
3	5395	14
0	8199	14

Stop Event

1×	iter limit
1×	node limit

Counts

3 → 109

Calls

Call 1

Inputs
(fabs (- 1 (/ x y)))
(- 1 (/ x y))
(/ x y)

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

simplify64.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

636×	`fnmadd-define`
444×	`fma-define`
428×	`sum3-define`
422×	`fnmsub-define`
400×	`fmsub-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	321
1	44	321
2	95	321
3	217	321
4	357	321
5	745	321
6	1307	321
7	1571	321
8	2022	321
9	2411	321
10	2411	321
0	2411	321

Stop Event

1×	iter limit
1×	saturated

Counts

72 → 72

Calls

Call 1

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

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

eval37.0ms (1.6%)

Compiler: Compiled 3339 to 373 computations (88.8% saved)

prune15.0ms (0.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	180	1	181
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	180	2	182

Accuracy

100.0%

Counts

182 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)))
▶	47.1%	(fabs.f64 #s(literal 1 binary64))

Compiler

Compiled 12 to 10 computations (16.7% saved)

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Localize:

Found 1 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	6400	(fabs.f64 #s(literal 1 binary64))

Rules

2× 1-exp

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2	2
1	4	2
0	4	2

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
(fabs 1)
1

Outputs
(fabs 1)
#s(literal 1 binary64)
1
#s(literal 1 binary64)

localize15.0ms (0.6%)

Localize:

Found 1 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fabs.f64 #s(literal 1 binary64))

Results

11.0ms

256×

valid

Compiler

Compiled 6 to 5 computations (16.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-fabs: 4.0ms (83.4% of total)

const: 0.0ms (0% of total)

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

series0.0ms (0%)

Counts

1 → 0

Calls

Call 1

Inputs
#<alt (fabs 1)>

Outputs

rewrite9.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

2× 1-exp

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2	1
1	4	1
0	4	1

Stop Event

1×	saturated
1×	saturated

Counts

1 → 1

Calls

Call 1

Inputs
(fabs 1)

Outputs
#s(literal 1 binary64)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
0	0	0

Stop Event

1×	saturated
1×	saturated

Counts

0 → 0

Calls

Call 1

Inputs

Outputs

eval0.0ms (0%)

Compiler: Compiled 3 to 3 computations (0% saved)

prune5.0ms (0.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	1	2	3

Accuracy

100.0%

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)))
▶	47.1%	#s(literal 1 binary64)

Compiler

Compiled 11 to 9 computations (18.2% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2× 1-exp

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	1
1	3	1
0	3	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
1

Outputs
1
#s(literal 1 binary64)

localize7.0ms (0.3%)

Results

5.0ms

256×

valid

Compiler

Compiled 4 to 4 computations (0% saved)

Precisions

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

const: 0.0ms (0% of total)

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

series0.0ms (0%)

Counts

0 → 0

Calls

Call 1

Inputs

Outputs

rewrite12.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
0	0	0

Stop Event

1×	saturated
1×	saturated

Counts

0 → 0

Calls

Call 1

Inputs

Outputs

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
0	0	0

Stop Event

1×	saturated
1×	saturated

Counts

0 → 0

Calls

Call 1

Inputs

Outputs

eval0.0ms (0%)

Compiler: Compiled 2 to 2 computations (0% saved)

prune2.0ms (0.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	1	1
Total	2	2

Accuracy

100.0%

Counts

2 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)))
✓	47.1%	#s(literal 1 binary64)

Compiler

Compiled 29 to 20 computations (31% saved)

regimes8.0ms (0.3%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

3 calls:

4.0ms	(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes3.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

2 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
(fabs.f64 #s(literal 1 binary64))

Outputs
#s(literal 1 binary64)

Calls

2 calls:

1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
47.1%	1	`x`
47.1%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify11.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

22×	`neg-mul-1_binary64`
20×	`unsub-neg_binary64`
14×	`+-commutative_binary64`
12×	`sub-neg_binary64`
8×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	13	7
2	23	7
3	32	7
4	42	7
5	59	7
6	82	7

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness436.0ms (18.5%)

Rules

2354×	`fma-lowering-fma.f32`
2354×	`fma-lowering-fma.f64`
2322×	`-lowering-.f32`
2322×	`-lowering-.f64`
1758×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	321
1	44	321
2	95	321
3	217	321
4	357	321
5	745	321
6	1307	321
7	1571	321
8	2022	321
9	2411	321
10	2411	321
0	2411	321
0	6	15
1	36	15
2	257	15
3	2526	15
0	8741	15
0	2	1
1	4	1
0	4	1

Stop Event

1×	done
1×	saturated
1×	saturated
1×	iter limit
1×	node limit
1×	iter limit
1×	saturated

Compiler

Compiled 32 to 25 computations (21.9% saved)

preprocess24.0ms (1%)

Compiler: Compiled 36 to 24 computations (33.3% saved)

Iter	Nodes	Cost
0	6	18
1	10	18
2	17	18
3	26	18
4	48	18
5	118	18
6	265	18
7	384	18
8	458	18
9	487	18
10	487	18
0	487	18

Iter	Nodes	Cost
0	6	18
1	10	18
2	17	18
3	26	18
4	48	18
5	118	18
6	265	18
7	384	18
8	458	18
9	487	18
10	487	18
0	487	18

analyze17.0ms (0.7%)

sample698.0ms (29.6%)

preprocess45.0ms (1.9%)

explain59.0ms (2.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify20.0ms (0.9%)

localize23.0ms (1%)

series8.0ms (0.3%)

rewrite272.0ms (11.5%)

simplify121.0ms (5.1%)

eval59.0ms (2.5%)

prune45.0ms (1.9%)

simplify75.0ms (3.2%)

localize52.0ms (2.2%)

series4.0ms (0.2%)

rewrite201.0ms (8.5%)

simplify64.0ms (2.7%)

eval37.0ms (1.6%)

prune15.0ms (0.7%)

simplify4.0ms (0.2%)

localize15.0ms (0.6%)

series0.0ms (0%)

rewrite9.0ms (0.4%)

simplify3.0ms (0.1%)

eval0.0ms (0%)

prune5.0ms (0.2%)

simplify3.0ms (0.1%)

localize7.0ms (0.3%)

series0.0ms (0%)

rewrite12.0ms (0.5%)

simplify3.0ms (0.1%)

eval0.0ms (0%)

prune2.0ms (0.1%)

regimes8.0ms (0.3%)

regimes3.0ms (0.1%)

simplify11.0ms (0.5%)

soundness436.0ms (18.5%)

preprocess24.0ms (1%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	6	18
1	10	18
2	17	18
3	26	18
4	48	18
5	118	18
6	265	18
7	384	18
8	458	18
9	487	18
10	487	18
0	487	18