Metrics for Data.Colour.RGB:hslsv from colour-2.3.3, A

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 8 to 6 computations (25% saved)

Precisions

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

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

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

const: 0.0ms (0% of total)

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

sample625.0ms (27.3%)

Results

441.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 179.0ms

ival-div: 103.0ms (57.6% of total)

ival-add: 63.0ms (35.2% of total)

const: 11.0ms (6.1% of total)

backward-pass: 3.0ms (1.7% of total)

Bogosity

preprocess45.0ms (2%)

Algorithm

2×	egg-herbie

Rules

432×	`fmsub-define`
416×	`fnmsub-define`
416×	`fnmadd-define`
356×	`fmm-def`
228×	`sum3-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	32
1	36	30
2	69	30
3	156	30
4	500	30
5	1187	30
6	1489	30
7	1662	30
8	1706	30
0	5	5
1	6	5
0	6	5

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(/ (+ x y) 2)

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

Call 2

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

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

Symmetry

(sort x y)

explain61.0ms (2.7%)

FPErrors

Click to see full error table

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

Results

40.0ms

512×

valid

Compiler

Compiled 35 to 17 computations (51.4% saved)

Precisions

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

ival-div: 4.0ms (45.1% of total)

ival-add: 4.0ms (45.1% of total)

const: 1.0ms (11.3% of total)

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

eval0.0ms (0%)

Compiler: Compiled 7 to 5 computations (28.6% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 (+.f64 x y) #s(literal 2 binary64))

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify5.0ms (0.2%)

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Rules

4×	`+-lowering-+.f64`
4×	`+-lowering-+.f32`
2×	`/-lowering-/.f32`
2×	`/-lowering-/.f64`
2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	11
1	6	11
0	6	11

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize26.0ms (1.1%)

Localize:

Found 2 expressions of interest:

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

Results

20.0ms

256×

valid

Compiler

Compiled 14 to 6 computations (57.1% saved)

Precisions

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

ival-div: 3.0ms (57.4% of total)

ival-add: 2.0ms (38.3% of total)

const: 0.0ms (0% of total)

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

series2.0ms (0.1%)

Counts

2 → 48

Calls

Call 1

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

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

Calls

12 calls:

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

rewrite286.0ms (12.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1674×	`-lowering-.f32`
1674×	`-lowering-.f64`
1462×	`fmsub-define`
1384×	`fnmsub-define`
1306×	`fmm-def`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
1	16	8
2	46	8
3	156	8
4	566	8
5	1254	8
6	4555	8
0	8707	8

Stop Event

1×	iter limit
1×	node limit

Counts

2 → 439

Calls

Call 1

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

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

simplify133.0ms (5.8%)

Algorithm

1×	egg-herbie

Rules

1864×	`fnmadd-define`
1816×	`fma-lowering-fma.f32`
1816×	`fma-lowering-fma.f64`
1812×	`sum5-define`
1630×	`fma-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	168
1	124	168
2	302	168
3	871	168
4	2404	168
5	4335	168
0	8025	168

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

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

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

eval54.0ms (2.4%)

Compiler: Compiled 6188 to 1189 computations (80.8% saved)

prune57.0ms (2.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	485	2	487
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	485	3	488

Accuracy

100.0%

Counts

488 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 x y) #s(literal 2 binary64))
▶	48.7%	(/.f64 y #s(literal 2 binary64))
▶	52.4%	(/.f64 x #s(literal 2 binary64))

Compiler

Compiled 17 to 13 computations (23.5% saved)

simplify5.0ms (0.2%)

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Rules

4×	`/-lowering-/.f32`
4×	`/-lowering-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	10
0	5	10

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ x 2)
x
2
(/ y 2)
y
2

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

localize35.0ms (1.5%)

Localize:

Found 2 expressions of interest:

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

Results

28.0ms

256×

valid

Compiler

Compiled 13 to 6 computations (53.8% saved)

Precisions

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

ival-div: 4.0ms (85.2% of total)

const: 0.0ms (0% of total)

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

series1.0ms (0.1%)

Counts

2 → 24

Calls

Call 1

Inputs
#<alt (/ x 2)>
#<alt (/ y 2)>

Outputs
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>

Calls

6 calls:

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

rewrite139.0ms (6.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1660×	`fmsub-define`
1572×	`fnmsub-define`
1552×	`prod-diff`
1492×	`fmm-def`
1148×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	6
1	20	6
2	65	6
3	230	6
4	687	6
5	1374	6
6	4341	6
0	8161	6

Stop Event

1×	iter limit
1×	node limit

Counts

2 → 82

Calls

Call 1

Inputs
(/ x 2)
(/ y 2)

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

simplify7.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

8×	`-lowering-.f32`
8×	`-lowering-.f64`
4×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	72
1	7	72
0	7	72

Stop Event

1×	iter limit
1×	saturated

Counts

24 → 24

Calls

Call 1

Inputs
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)

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

eval12.0ms (0.5%)

Compiler: Compiled 560 to 125 computations (77.7% saved)

prune12.0ms (0.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	106	0	106
Fresh	0	0	0
Picked	0	2	2
Done	0	1	1
Total	106	3	109

Accuracy

100.0%

Counts

109 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 x y) #s(literal 2 binary64))
✓	48.7%	(/.f64 y #s(literal 2 binary64))
✓	52.4%	(/.f64 x #s(literal 2 binary64))

Compiler

Compiled 30 to 20 computations (33.3% saved)

regimes8.0ms (0.4%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(/.f64 (+.f64 x y) #s(literal 2 binary64))`
100.0%	1	`(+.f64 x y)`

Compiler

Compiled 18 to 12 computations (33.3% saved)

regimes5.0ms (0.2%)

Counts

2 → 2

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
82.8%	2	`x`
83.7%	2	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

2 calls:

1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
52.4%	1	`x`
52.4%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch13.0ms (0.6%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	1.3365605469362515e-99	7.190370406161616e-93

Results

7.0ms

144×

valid

Compiler

Compiled 120 to 99 computations (17.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-div: 1.0ms (43.2% of total)

ival-add: 1.0ms (43.2% of total)

const: 0.0ms (0% of total)

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

simplify7.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	18
1	11	18

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

(if (<=.f64 y #s(literal 2084331542211777/293567822846729153486185074598667128421960318613539983838411371441526128139326055432962374798096087878991872 binary64)) (/.f64 x #s(literal 2 binary64)) (/.f64 y #s(literal 2 binary64)))

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

Outputs

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

(if (<=.f64 y #s(literal 2084331542211777/293567822846729153486185074598667128421960318613539983838411371441526128139326055432962374798096087878991872 binary64)) (/.f64 x #s(literal 2 binary64)) (/.f64 y #s(literal 2 binary64)))

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

soundness703.0ms (30.7%)

Rules

1864×	`fnmadd-define`
1816×	`fma-lowering-fma.f32`
1816×	`fma-lowering-fma.f64`
1812×	`sum5-define`
1630×	`fma-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	168
1	124	168
2	302	168
3	871	168
4	2404	168
5	4335	168
0	8025	168

Stop Event

1×	done
1×	iter limit
1×	node limit

Compiler

Compiled 35 to 22 computations (37.1% saved)

preprocess44.0ms (1.9%)

Remove: (sort x y)
Compiler: Compiled 82 to 50 computations (39% saved)

Data.Colour.RGB:hslsv from colour-2.3.3, A

analyze0.0ms (0%)

sample625.0ms (27.3%)

preprocess45.0ms (2%)

explain61.0ms (2.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify5.0ms (0.2%)

localize26.0ms (1.1%)

series2.0ms (0.1%)

rewrite286.0ms (12.5%)

simplify133.0ms (5.8%)

eval54.0ms (2.4%)

prune57.0ms (2.5%)

simplify5.0ms (0.2%)

localize35.0ms (1.5%)

series1.0ms (0.1%)

rewrite139.0ms (6.1%)

simplify7.0ms (0.3%)

eval12.0ms (0.5%)

prune12.0ms (0.5%)

regimes8.0ms (0.4%)

regimes5.0ms (0.2%)

regimes3.0ms (0.1%)

bsearch13.0ms (0.6%)

simplify7.0ms (0.3%)

soundness703.0ms (30.7%)

preprocess44.0ms (1.9%)

end0.0ms (0%)

Profiling