Metrics for Data.Colour.RGBSpace.HSL:hsl from colour-2.3.3, B

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-add: 0.0ms (0% of total)

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

const: 0.0ms (0% of total)

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

sample711.0ms (26%)

Results

489.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 150.0ms

ival-mult: 70.0ms (46.6% of total)

ival-add: 67.0ms (44.6% of total)

const: 11.0ms (7.3% of total)

backward-pass: 3.0ms (2% of total)

Bogosity

preprocess46.0ms (1.7%)

Algorithm

2×	egg-herbie

Rules

490×	`fnmadd-define`
402×	`fnmsub-define`
402×	`fmsub-define`
354×	`sum3-define`
354×	`fma-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	34
1	60	28
2	183	26
3	496	24
4	1129	24
5	1660	24
6	1923	24
7	1933	24
0	5	5
1	15	4
2	23	4
3	38	4
4	42	4
5	44	4
0	44	4

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(* x (+ y 1))

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

Call 2

Inputs
(* x (+ y 1))
(* (neg x) (+ y 1))
(* x (+ (neg y) 1))
(neg (* (neg x) (+ y 1)))
(neg (* x (+ (neg y) 1)))
(* y (+ x 1))

Outputs
(* x (+ y 1))
(fma x y x)
(* (neg x) (+ y 1))
(fnmsub x y x)
(* x (+ (neg y) 1))
(fnmadd x y x)
(neg (* (neg x) (+ y 1)))
(fma x y x)
(neg (* x (+ (neg y) 1)))
(fmsub x y x)
(* y (+ x 1))
(fma x y y)

Symmetry

(negabs x)

explain73.0ms (2.7%)

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`x`
-	-	`(*.f64 x (+.f64 y #s(literal 1 binary64)))`
-	-	`#s(literal 1 binary64)`
-	-	`(+.f64 y #s(literal 1 binary64))`
-	-	`y`

Results

56.0ms

512×

valid

Compiler

Compiled 35 to 17 computations (51.4% saved)

Precisions

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

ival-mult: 4.0ms (50.2% of total)

ival-add: 3.0ms (37.6% of total)

const: 1.0ms (12.5% 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 x (+.f64 y #s(literal 1 binary64)))

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Rules

28×	`-lowering-.f32`
28×	`-lowering-.f64`
20×	`fma-define`
16×	`fma-lowering-fma.f32`
16×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	5	11
1	15	10
2	23	10
3	38	10
4	42	10
5	44	10
0	44	10

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(* x (+ y 1))
x
(+ y 1)
y
1

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

localize159.0ms (5.8%)

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 y #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 x (+.f64 y #s(literal 1 binary64)))

Results

153.0ms

256×

valid

Compiler

Compiled 14 to 6 computations (57.1% saved)

Precisions

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

ival-add: 2.0ms (51.2% of total)

ival-mult: 2.0ms (51.2% of total)

const: 0.0ms (0% of total)

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

series3.0ms (0.1%)

Counts

2 → 36

Calls

Call 1

Inputs
#<alt (* x (+ y 1))>
#<alt (+ y 1)>

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

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(* x (+ y 1))
0.0ms	x	@	inf	(* x (+ y 1))
0.0ms	x	@	-inf	(* x (+ y 1))
0.0ms	y	@	-inf	(+ y 1)
0.0ms	y	@	inf	(* x (+ y 1))

rewrite420.0ms (15.4%)

Algorithm

1×	batch-egg-rewrite

Rules

3784×	`/-lowering-/.f32`
3784×	`/-lowering-/.f64`
2514×	`-lowering-.f32`
2514×	`-lowering-.f64`
1770×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	5	8
1	28	7
2	179	7
3	1365	7
0	8463	7

Stop Event

1×	iter limit
1×	node limit

Counts

2 → 222

Calls

Call 1

Inputs
(* x (+ y 1))
(+ y 1)

Outputs
(+.f64 x (*.f64 x y))
(+.f64 (*.f64 x y) x)
(+.f64 (/.f64 (.f64 y (.f64 x (.f64 x y))) (.f64 x (+.f64 y #s(literal -1 binary64)))) (neg.f64 (/.f64 (.f64 x x) (.f64 x (+.f64 y #s(literal -1 binary64))))))
(-.f64 (/.f64 (.f64 y (.f64 x (.f64 x y))) (.f64 x (+.f64 y #s(literal -1 binary64)))) (/.f64 (.f64 x x) (.f64 x (+.f64 y #s(literal -1 binary64)))))
(-.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 x y))) (/.f64 (.f64 y (.f64 x (.f64 x y))) (-.f64 x (.f64 x y))))
(fma.f64 x y x)
(fma.f64 x #s(literal 1 binary64) (*.f64 x y))
(fma.f64 y x x)
(fma.f64 #s(literal 1 binary64) x (*.f64 x y))
(fma.f64 #s(literal 1 binary64) (*.f64 x y) x)
(fma.f64 (*.f64 x y) #s(literal 1 binary64) x)
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 y #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 y #s(literal 1 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x x) (-.f64 (.f64 y (.f64 x (.f64 x y))) (.f64 x (.f64 x y)))) (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) (.f64 x (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (.f64 x y)) (-.f64 (.f64 x x) (.f64 y (.f64 x (*.f64 x y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 y #s(literal -1 binary64))))) (.f64 x (-.f64 #s(literal -1 binary64) (.f64 y (.f64 y y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) y) (.f64 x (+.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) y) (.f64 x (-.f64 #s(literal 1 binary64) (.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 y #s(literal -1 binary64))))) (.f64 (-.f64 #s(literal -1 binary64) (.f64 y (.f64 y y))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) y) (.f64 (+.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) #s(literal 1 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) y) (.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 y #s(literal 1 binary64))))))
(/.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x)))) (+.f64 (.f64 x (-.f64 x (.f64 x y))) (.f64 y (.f64 x (.f64 x y)))))
(/.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x)))) (+.f64 (.f64 x x) (-.f64 (.f64 y (.f64 x (.f64 x y))) (.f64 x (*.f64 x y)))))
(/.f64 (.f64 (.f64 x (+.f64 y #s(literal 1 binary64))) (.f64 x (+.f64 y #s(literal -1 binary64)))) (.f64 x (+.f64 y #s(literal -1 binary64))))
(/.f64 (.f64 x (+.f64 (.f64 y y) #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64)))
(/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y y)))) (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 y #s(literal -1 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x))))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x (-.f64 x (.f64 x y))) (.f64 y (.f64 x (.f64 x y))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x))))) (neg.f64 (+.f64 (.f64 x x) (-.f64 (.f64 y (.f64 x (.f64 x y))) (.f64 x (*.f64 x y))))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x (+.f64 y #s(literal 1 binary64))) (.f64 x (+.f64 y #s(literal -1 binary64))))) (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 y #s(literal -1 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 (.f64 y y) #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) y))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y y))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 y #s(literal -1 binary64))))))
(/.f64 (.f64 x (-.f64 #s(literal -1 binary64) (.f64 y (.f64 y y)))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 y #s(literal -1 binary64))))))
(/.f64 (.f64 x (+.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) y))
(/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 y y))) (-.f64 #s(literal 1 binary64) y))
(/.f64 (.f64 (-.f64 #s(literal -1 binary64) (.f64 y (.f64 y y))) x) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 y #s(literal -1 binary64))))))
(/.f64 (.f64 (+.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) #s(literal 1 binary64)) x) (-.f64 #s(literal 1 binary64) y))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) x) (-.f64 #s(literal 1 binary64) y))
(/.f64 (/.f64 (.f64 x (+.f64 (.f64 y y) #s(literal -1 binary64))) (+.f64 (*.f64 y y) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 x x) (.f64 y (.f64 x (.f64 x y)))) (-.f64 x (*.f64 x y)))
(/.f64 (-.f64 (.f64 (.f64 y (.f64 x (.f64 x y))) (.f64 x (+.f64 y #s(literal -1 binary64)))) (.f64 (.f64 x (+.f64 y #s(literal -1 binary64))) (.f64 x x))) (.f64 (.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 x (+.f64 y #s(literal -1 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x)))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x (-.f64 x (.f64 x y))) (.f64 y (.f64 x (.f64 x y)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x (+.f64 y #s(literal 1 binary64))) (.f64 x (+.f64 y #s(literal -1 binary64)))))) (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 y #s(literal -1 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 (.f64 y y) #s(literal -1 binary64))))) (+.f64 y #s(literal -1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y y)))))) (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 y #s(literal -1 binary64)))))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (.f64 y (.f64 x (.f64 x y))))) (neg.f64 (-.f64 x (*.f64 x y))))
(/.f64 (neg.f64 (.f64 x (-.f64 #s(literal -1 binary64) (.f64 y (.f64 y y))))) (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 y #s(literal -1 binary64)))))
(/.f64 (neg.f64 (.f64 x (+.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) #s(literal 1 binary64)))) (+.f64 y #s(literal -1 binary64)))
(/.f64 (neg.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 y y)))) (+.f64 y #s(literal -1 binary64)))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal -1 binary64) (.f64 y (.f64 y y))) x)) (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 y #s(literal -1 binary64)))))
(/.f64 (neg.f64 (.f64 (+.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) #s(literal 1 binary64)) x)) (+.f64 y #s(literal -1 binary64)))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) x)) (+.f64 y #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 y (.f64 x (.f64 x y))) (.f64 x (+.f64 y #s(literal -1 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x x) (.f64 x (+.f64 y #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 (.f64 y (.f64 x (.f64 x y))) (.f64 x (+.f64 y #s(literal -1 binary64)))) (/.f64 (.f64 y (.f64 x (.f64 x y))) (.f64 x (+.f64 y #s(literal -1 binary64))))) (+.f64 (.f64 (/.f64 (.f64 x x) (.f64 x (+.f64 y #s(literal -1 binary64)))) (/.f64 (.f64 x x) (.f64 x (+.f64 y #s(literal -1 binary64))))) (.f64 (/.f64 (.f64 y (.f64 x (.f64 x y))) (.f64 x (+.f64 y #s(literal -1 binary64)))) (/.f64 (.f64 x x) (*.f64 x (+.f64 y #s(literal -1 binary64))))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 y #s(literal 1 binary64)))) #s(literal -1 binary64))
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(.f64 #s(literal 1 binary64) (.f64 x (+.f64 y #s(literal 1 binary64))))
(*.f64 (+.f64 y #s(literal 1 binary64)) x)
(.f64 (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y y))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y #s(literal -1 binary64))))) x))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y y))) (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 y #s(literal -1 binary64))))))
(.f64 (+.f64 (.f64 y y) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) x))
(.f64 (+.f64 (.f64 y y) #s(literal -1 binary64)) (/.f64 x (+.f64 y #s(literal -1 binary64))))
(.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (-.f64 x (.f64 x y))) (.f64 y (.f64 x (*.f64 x y))))))
(.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (-.f64 (.f64 y (.f64 x (.f64 x y))) (.f64 x (.f64 x y))))))
(.f64 (.f64 x (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64))
(.f64 (.f64 (.f64 x (+.f64 y #s(literal 1 binary64))) (.f64 x (+.f64 y #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64)))))
(.f64 (.f64 x (+.f64 (*.f64 y y) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))
(.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y #s(literal -1 binary64))))))
(.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x (-.f64 x (.f64 x y))) (.f64 y (.f64 x (*.f64 x y)))))))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x (+.f64 y #s(literal 1 binary64))) (.f64 x (+.f64 y #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64))))))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 (*.f64 y y) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y y))))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y #s(literal -1 binary64))))))
(.f64 (.f64 x (-.f64 #s(literal -1 binary64) (.f64 y (.f64 y y)))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y #s(literal -1 binary64))))))
(.f64 (.f64 x (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)))
(.f64 (.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)))
(.f64 (.f64 (-.f64 #s(literal -1 binary64) (.f64 y (.f64 y y))) x) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y #s(literal -1 binary64))))))
(.f64 (.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)))
(.f64 (/.f64 (.f64 x (+.f64 (.f64 y y) #s(literal -1 binary64))) (+.f64 (.f64 y y) #s(literal -1 binary64))) (+.f64 y #s(literal 1 binary64)))
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simplify150.0ms (5.5%)

Algorithm

1×	egg-herbie

Rules

1836×	`fmsub-define`
1832×	`fnmsub-define`
1694×	`fmm-def`
1606×	`sum3-define`
1248×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	142
1	65	121
2	156	121
3	418	121
4	1863	121
5	4841	121
6	6791	121
7	7790	121
0	8005	121

Stop Event

1×	iter limit
1×	node limit

Counts

36 → 36

Calls

Call 1

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

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

eval29.0ms (1.1%)

Compiler: Compiled 5902 to 667 computations (88.7% saved)

prune31.0ms (1.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	255	3	258
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	255	4	259

Accuracy

100.0%

Counts

259 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(+.f64 (*.f64 x y) x)
✓	100.0%	(*.f64 x (+.f64 y #s(literal 1 binary64)))
▶	50.9%	(*.f64 x y)
▶	51.4%	x

Compiler

Compiled 22 to 14 computations (36.4% saved)

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Program
✓	cost-diff	(*.f64 x y)
✓	cost-diff	(+.f64 (*.f64 x y) x)
✓	cost-diff	(*.f64 x y)

Rules

28×	`fma-define`
28×	`-lowering-.f32`
28×	`-lowering-.f64`
16×	`fma-lowering-fma.f32`
16×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	15
1	7	15
2	11	15
3	15	15
4	21	15
5	27	15
6	40	15
7	44	15
8	46	15
0	46	15

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
x
(* x y)
x
y
(+ (* x y) x)
(* x y)
x
y

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

localize51.0ms (1.9%)

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(+.f64 (*.f64 x y) x)
✓	accuracy	100.0%	(*.f64 x y)

Results

45.0ms

256×

valid

Compiler

Compiled 19 to 5 computations (73.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-mult: 24.0ms (91.4% of total)

ival-add: 1.0ms (3.8% 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)>
#<alt (+ (* x y) x)>

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

Calls

12 calls:

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

rewrite283.0ms (10.4%)

Algorithm

1×	batch-egg-rewrite

Rules

2928×	`-lowering-.f32`
2928×	`-lowering-.f64`
2714×	`/-lowering-/.f32`
2714×	`/-lowering-/.f64`
1794×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	7
1	20	7
2	167	7
3	1839	7
0	8246	7

Stop Event

1×	iter limit
1×	node limit

Counts

2 → 132

Calls

Call 1

Inputs
(* x y)
(+ (* x y) x)

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

simplify139.0ms (5.1%)

Algorithm

1×	egg-herbie

Rules

1788×	`fmsub-define`
1778×	`fnmsub-define`
1594×	`fmm-def`
1442×	`fnmadd-define`
1334×	`sum3-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	184
1	66	163
2	169	163
3	410	163
4	1278	163
5	3400	163
6	5861	163
0	8101	163

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

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

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

eval23.0ms (0.8%)

Compiler: Compiled 6034 to 419 computations (93.1% saved)

prune21.0ms (0.8%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	213	0	213
Fresh	0	0	0
Picked	0	3	3
Done	0	1	1
Total	213	4	217

Accuracy

100.0%

Counts

217 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 (*.f64 x y) x)
✓	100.0%	(*.f64 x (+.f64 y #s(literal 1 binary64)))
✓	50.9%	(*.f64 x y)
✓	51.4%	x

Compiler

Compiled 38 to 21 computations (44.7% saved)

regimes8.0ms (0.3%)

Counts

4 → 1

Calls

Call 1

Inputs
x
(*.f64 x y)
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(+.f64 (*.f64 x y) x)

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

Calls

4 calls:

2.0ms	x
2.0ms	(*.f64 x (+.f64 y #s(literal 1 binary64)))
2.0ms	y
2.0ms	(+.f64 y #s(literal 1 binary64))

Results

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

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes3.0ms (0.1%)

Counts

2 → 3

Calls

Call 1

Inputs
x
(*.f64 x y)

Outputs
(*.f64 x y)
x
(*.f64 x y)

Calls

2 calls:

2.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
62.9%	5	`x`
98.1%	3	`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
x

Outputs
x

Calls

2 calls:

1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
51.4%	1	`x`
51.4%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch28.0ms (1%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	0.0015446469553113472	901210441424.5509
12.0ms	-28211185.17041331	-0.5318073840019479

Results

16.0ms

304×

valid

Compiler

Compiled 202 to 142 computations (29.7% saved)

Precisions

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

ival-add: 2.0ms (42.6% of total)

ival-mult: 2.0ms (42.6% of total)

const: 0.0ms (0% of total)

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

simplify8.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative_binary64`
2×	`+-commutative_binary64`
2×	`1-exp_binary64`
2×	`if-if-or-not_binary32`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	19
1	20	19

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(if (<=.f64 y #s(literal -1 binary64)) (.f64 x y) (if (<=.f64 y #s(literal 1 binary64)) x (.f64 x y)))
x

Outputs
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(if (<=.f64 y #s(literal -1 binary64)) (.f64 x y) (if (<=.f64 y #s(literal 1 binary64)) x (.f64 x y)))
x

soundness488.0ms (17.9%)

Rules

1836×	`fmsub-define`
1832×	`fnmsub-define`
1694×	`fmm-def`
1606×	`sum3-define`
1248×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	142
1	65	121
2	156	121
3	418	121
4	1863	121
5	4841	121
6	6791	121
7	7790	121
0	8005	121

Stop Event

1×	done
1×	iter limit
1×	node limit

Compiler

Compiled 34 to 18 computations (47.1% saved)

preprocess37.0ms (1.4%)

Remove: (negabs x)
Compiler: Compiled 102 to 60 computations (41.2% saved)

Data.Colour.RGBSpace.HSL:hsl from colour-2.3.3, B

analyze0.0ms (0%)

sample711.0ms (26%)

preprocess46.0ms (1.7%)

explain73.0ms (2.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify7.0ms (0.2%)

localize159.0ms (5.8%)

series3.0ms (0.1%)

rewrite420.0ms (15.4%)

simplify150.0ms (5.5%)

eval29.0ms (1.1%)

prune31.0ms (1.1%)

simplify7.0ms (0.2%)

localize51.0ms (1.9%)

series2.0ms (0.1%)

rewrite283.0ms (10.4%)

simplify139.0ms (5.1%)

eval23.0ms (0.8%)

prune21.0ms (0.8%)

regimes8.0ms (0.3%)

regimes3.0ms (0.1%)

regimes3.0ms (0.1%)

bsearch28.0ms (1%)

simplify8.0ms (0.3%)

soundness488.0ms (17.9%)

preprocess37.0ms (1.4%)

end0.0ms (0%)

Profiling