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)

sample607.0ms (13%)

Results

411.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 211.0ms

ival-add: 109.0ms (51.7% of total)

ival-mult: 89.0ms (42.2% of total)

const: 11.0ms (5.2% of total)

backward-pass: 3.0ms (1.4% of total)

Bogosity

preprocess58.0ms (1.3%)

Algorithm

2×	egg-herbie

Rules

102×	`unsub-neg`
70×	`distribute-lft-in`
68×	`distribute-rgt-in`
66×	`associate-r`
66×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	34
1	60	32
2	166	30
3	380	30
4	506	30
5	606	30
6	611	30
0	5	5
1	15	5
2	19	5
3	32	5
4	32	5
0	32	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))
(+ x (* x y))
(* (neg x) (+ y 1))
(* x (- -1 y))
(* x (+ (neg y) 1))
(- x (* x y))
(neg (* (neg x) (+ y 1)))
(+ x (* x y))
(neg (* x (+ (neg y) 1)))
(- (* x y) x)
(* y (+ x 1))
(+ y (* x y))

Symmetry

(negabs x)

explain90.0ms (1.9%)

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

70.0ms

512×

valid

Compiler

Compiled 35 to 23 computations (34.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-add: 6.0ms (53.9% of total)

ival-mult: 4.0ms (35.9% of total)

const: 1.0ms (9% 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)

localize37.0ms (0.8%)

Algorithm

1×	egg-herbie

Localize:

Found 4 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)))
✓	accuracy	100.0%	(+.f64 y #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 x (+.f64 y #s(literal 1 binary64)))

Rules

28×	`-lowering-.f32`
28×	`-lowering-.f64`
16×	`accelerator-lowering-fma.f32`
16×	`accelerator-lowering-fma.f64`
8×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	11
1	15	11
2	19	11
3	32	11
4	32	11
0	32	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)

Results

18.0ms

256×

valid

Compiler

Compiled 14 to 9 computations (35.7% saved)

Precisions

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

ival-mult: 4.0ms (49.5% of total)

ival-add: 3.0ms (37.2% of total)

const: 1.0ms (12.4% of total)

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

series4.0ms (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))

rewrite652.0ms (14%)

Algorithm

1×	batch-egg-rewrite

Rules

7892×	`accelerator-lowering-fma.f32`
7892×	`accelerator-lowering-fma.f64`
4072×	`/-lowering-/.f32`
4072×	`/-lowering-/.f64`
3458×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
1	28	8
2	171	8
3	1264	8
0	8402	7

Stop Event

1×	iter limit
1×	node limit

Counts

2 → 279

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

simplify355.0ms (7.6%)

Algorithm

1×	egg-herbie

Rules

3472×	`accelerator-lowering-fma.f32`
3472×	`accelerator-lowering-fma.f64`
2232×	`/-lowering-/.f32`
2232×	`/-lowering-/.f64`
2112×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	142
1	63	142
2	136	142
3	335	142
4	1238	142
5	2605	142
6	3231	142
7	3520	142
8	3696	142
9	3730	142
10	4330	142
11	5623	142
12	6379	142
13	6627	142
14	6683	142
15	6683	142
16	7171	142
17	7267	142
18	7419	142
19	7479	142
0	8075	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)

eval68.0ms (1.5%)

Compiler: Compiled 8468 to 4000 computations (52.8% saved)

prune46.0ms (1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	312	3	315
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	312	4	316

Accuracy

100.0%

Counts

316 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	83.8%	(.f64 (+.f64 (.f64 y y) #s(literal -1 binary64)) (/.f64 x (+.f64 y #s(literal -1 binary64))))
✓	100.0%	(*.f64 x (+.f64 y #s(literal 1 binary64)))
▶	47.8%	(*.f64 x y)
▶	54.4%	x

Compiler

Compiled 28 to 19 computations (32.1% saved)

localize1.2s (25.3%)

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 x (+.f64 y #s(literal -1 binary64)))
✓	cost-diff	0	(*.f64 y y)
✓	cost-diff	0	(+.f64 (*.f64 y y) #s(literal -1 binary64))
✓	cost-diff	384	(.f64 (+.f64 (.f64 y y) #s(literal -1 binary64)) (/.f64 x (+.f64 y #s(literal -1 binary64))))
✓	cost-diff	0	(*.f64 x y)
✓	accuracy	100.0%	(+.f64 y #s(literal -1 binary64))
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	100.0%	(/.f64 x (+.f64 y #s(literal -1 binary64)))
✓	accuracy	84.0%	(.f64 (+.f64 (.f64 y y) #s(literal -1 binary64)) (/.f64 x (+.f64 y #s(literal -1 binary64))))
✓	accuracy	100.0%	(*.f64 x y)

Rules

28360×	`accelerator-lowering-fma.f32`
28360×	`accelerator-lowering-fma.f64`
3232×	`--lowering--.f32`
3232×	`--lowering--.f64`
3080×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	33
1	19	33
2	41	33
3	107	33
4	337	27
5	857	27
6	2946	27
0	8194	25

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

Results

31.0ms

256×

valid

Compiler

Compiled 39 to 19 computations (51.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-add: 6.0ms (35.8% of total)

ival-mult: 6.0ms (35.8% of total)

ival-div: 4.0ms (23.8% of total)

const: 1.0ms (6% of total)

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

series18.0ms (0.4%)

Counts

6 → 108

Calls

Call 1

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

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

Calls

27 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(/ x (+ y -1))
1.0ms	y	@	0	(* (+ (* y y) -1) (/ x (+ y -1)))
1.0ms	x	@	0	(* (+ (* y y) -1) (/ x (+ y -1)))
1.0ms	x	@	inf	(* (+ (* y y) -1) (/ x (+ y -1)))
1.0ms	y	@	inf	(* (+ (* y y) -1) (/ x (+ y -1)))

rewrite516.0ms (11.1%)

Algorithm

1×	batch-egg-rewrite

Rules

4934×	`accelerator-lowering-fma.f32`
4934×	`accelerator-lowering-fma.f64`
4374×	`-lowering-.f32`
4374×	`-lowering-.f64`
2610×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	30
1	50	30
2	386	24
3	5692	24
0	8175	22

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 709

Calls

Call 1

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

Outputs
(*.f64 x y)
(*.f64 y x)
(+.f64 x (*.f64 x y))
(+.f64 (*.f64 x y) x)
(+.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 (.f64 x (.f64 y y)) (+.f64 y #s(literal -1 binary64))))
(+.f64 (/.f64 (.f64 x (.f64 y y)) (+.f64 y #s(literal -1 binary64))) (/.f64 x (-.f64 #s(literal 1 binary64) y)))
(+.f64 (.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) (/.f64 (+.f64 y #s(literal -1 binary64)) x)) y) (.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) (/.f64 (+.f64 y #s(literal -1 binary64)) x)) #s(literal -1 binary64)))
(+.f64 (.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) (/.f64 (+.f64 y #s(literal -1 binary64)) x)) #s(literal -1 binary64)) (.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) (/.f64 (+.f64 y #s(literal -1 binary64)) x)) y))
(+.f64 (.f64 (/.f64 (.f64 x (+.f64 (.f64 y y) #s(literal -1 binary64))) (+.f64 #s(literal -1 binary64) (.f64 y (.f64 y y)))) (.f64 y y)) (.f64 (/.f64 (.f64 x (+.f64 (.f64 y y) #s(literal -1 binary64))) (+.f64 #s(literal -1 binary64) (.f64 y (*.f64 y y)))) (+.f64 y #s(literal 1 binary64))))
(+.f64 (.f64 (/.f64 (.f64 x (+.f64 (.f64 y y) #s(literal -1 binary64))) (+.f64 #s(literal -1 binary64) (.f64 y (.f64 y y)))) (+.f64 y #s(literal 1 binary64))) (.f64 (/.f64 (.f64 x (+.f64 (.f64 y y) #s(literal -1 binary64))) (+.f64 #s(literal -1 binary64) (.f64 y (.f64 y y)))) (*.f64 y y)))
(+.f64 (.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 (-.f64 #s(literal 1 binary64) y) x)) y) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 (-.f64 #s(literal 1 binary64) y) x)) #s(literal 1 binary64)))
(+.f64 (.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 (-.f64 #s(literal 1 binary64) y) x)) #s(literal 1 binary64)) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 (-.f64 #s(literal 1 binary64) y) x)) y))
(+.f64 (.f64 y (/.f64 (+.f64 y #s(literal 1 binary64)) (/.f64 (+.f64 y #s(literal -1 binary64)) x))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 y #s(literal 1 binary64)) (/.f64 (+.f64 y #s(literal -1 binary64)) x))))
(+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 y #s(literal 1 binary64)) (/.f64 (+.f64 y #s(literal -1 binary64)) x))) (.f64 y (/.f64 (+.f64 y #s(literal 1 binary64)) (/.f64 (+.f64 y #s(literal -1 binary64)) x))))
(+.f64 (.f64 (.f64 y y) (/.f64 (.f64 x (+.f64 (.f64 y y) #s(literal -1 binary64))) (+.f64 #s(literal -1 binary64) (.f64 y (.f64 y y))))) (.f64 (+.f64 y #s(literal 1 binary64)) (/.f64 (.f64 x (+.f64 (.f64 y y) #s(literal -1 binary64))) (+.f64 #s(literal -1 binary64) (.f64 y (*.f64 y y))))))
(+.f64 (.f64 (+.f64 y #s(literal 1 binary64)) (/.f64 (.f64 x (+.f64 (.f64 y y) #s(literal -1 binary64))) (+.f64 #s(literal -1 binary64) (.f64 y (.f64 y y))))) (.f64 (.f64 y y) (/.f64 (.f64 x (+.f64 (.f64 y y) #s(literal -1 binary64))) (+.f64 #s(literal -1 binary64) (.f64 y (*.f64 y y))))))
(+.f64 (.f64 y (/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 (-.f64 #s(literal 1 binary64) y) x))) (.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 (-.f64 #s(literal 1 binary64) y) x))))
(+.f64 (.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 (-.f64 #s(literal 1 binary64) y) x))) (.f64 y (/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 (-.f64 #s(literal 1 binary64) 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 y)) (+.f64 y #s(literal -1 binary64))) (/.f64 x (+.f64 y #s(literal -1 binary64))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 y y) (.f64 y y)) (+.f64 (.f64 y y) #s(literal 1 binary64))) (/.f64 (+.f64 y #s(literal -1 binary64)) x)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y y) #s(literal 1 binary64))) (/.f64 (+.f64 y #s(literal -1 binary64)) x)))
(fma.f64 x y x)
(fma.f64 x #s(literal 1 binary64) (*.f64 x y))
(fma.f64 x (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal -1 binary64))) (/.f64 (.f64 x (.f64 y y)) (+.f64 y #s(literal -1 binary64))))
(fma.f64 x (.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) (.f64 y y)) (/.f64 x (-.f64 #s(literal 1 binary64) y)))
(fma.f64 y x x)
(fma.f64 y (/.f64 (+.f64 y #s(literal 1 binary64)) (/.f64 (+.f64 y #s(literal -1 binary64)) x)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 y #s(literal 1 binary64)) (/.f64 (+.f64 y #s(literal -1 binary64)) x))))
(fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 (-.f64 #s(literal 1 binary64) y) x)) (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 (-.f64 #s(literal 1 binary64) y) x))))
(fma.f64 y (*.f64 y (/.f64 x (+.f64 y #s(literal -1 binary64)))) (/.f64 x (-.f64 #s(literal 1 binary64) y)))
(fma.f64 (*.f64 y y) (/.f64 x (+.f64 y #s(literal -1 binary64))) (/.f64 x (-.f64 #s(literal 1 binary64) y)))
(fma.f64 (.f64 y y) (/.f64 (.f64 x (+.f64 (.f64 y y) #s(literal -1 binary64))) (+.f64 #s(literal -1 binary64) (.f64 y (.f64 y y)))) (.f64 (+.f64 y #s(literal 1 binary64)) (/.f64 (.f64 x (+.f64 (.f64 y y) #s(literal -1 binary64))) (+.f64 #s(literal -1 binary64) (.f64 y (.f64 y y))))))
(fma.f64 #s(literal -1 binary64) (/.f64 x (+.f64 y #s(literal -1 binary64))) (/.f64 (.f64 x (.f64 y y)) (+.f64 y #s(literal -1 binary64))))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x) (*.f64 x y))
(fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 y #s(literal 1 binary64)) (/.f64 (+.f64 y #s(literal -1 binary64)) x)) (*.f64 y (/.f64 (+.f64 y #s(literal 1 binary64)) (/.f64 (+.f64 y #s(literal -1 binary64)) x))))
(fma.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 y y) (/.f64 x (-.f64 #s(literal 1 binary64) y)))
(fma.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))) #s(literal -1 binary64) (/.f64 (.f64 x (.f64 y y)) (+.f64 y #s(literal -1 binary64))))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) (/.f64 (.f64 x (.f64 y y)) (+.f64 y #s(literal -1 binary64))))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (.f64 (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 (.f64 x (*.f64 y y)) (+.f64 y #s(literal -1 binary64))))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (.f64 (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal -1 binary64))) (.f64 y y)) (/.f64 x (-.f64 #s(literal 1 binary64) y)))
(fma.f64 #s(literal 1 binary64) x (*.f64 x y))
(fma.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 (.f64 x (.f64 y y)) (+.f64 y #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 y y)) (+.f64 y #s(literal -1 binary64))) (/.f64 x (-.f64 #s(literal 1 binary64) y)))
(fma.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 (-.f64 #s(literal 1 binary64) y) x)) (*.f64 y (/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 (-.f64 #s(literal 1 binary64) y) x))))
(fma.f64 (+.f64 y #s(literal 1 binary64)) (/.f64 (.f64 x (+.f64 (.f64 y y) #s(literal -1 binary64))) (+.f64 #s(literal -1 binary64) (.f64 y (.f64 y y)))) (.f64 (.f64 y y) (/.f64 (.f64 x (+.f64 (.f64 y y) #s(literal -1 binary64))) (+.f64 #s(literal -1 binary64) (.f64 y (.f64 y y))))))
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 0 binary64) x) (/.f64 (.f64 x (.f64 y y)) (+.f64 y #s(literal -1 binary64))))
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) (.f64 x (.f64 y y)) (/.f64 x (-.f64 #s(literal 1 binary64) y)))
(fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal -1 binary64))) x (/.f64 (.f64 x (.f64 y y)) (+.f64 y #s(literal -1 binary64))))
(fma.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) (/.f64 (+.f64 y #s(literal -1 binary64)) x)) y (*.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) (/.f64 (+.f64 y #s(literal -1 binary64)) x)) #s(literal -1 binary64)))
(fma.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) (/.f64 (+.f64 y #s(literal -1 binary64)) x)) #s(literal -1 binary64) (*.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) (/.f64 (+.f64 y #s(literal -1 binary64)) x)) y))
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simplify624.0ms (13.4%)

Algorithm

1×	egg-herbie

Rules

13604×	`accelerator-lowering-fma.f32`
13604×	`accelerator-lowering-fma.f64`
2762×	`-lowering-.f32`
2762×	`-lowering-.f64`
1554×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	485
1	176	480
2	475	463
3	1153	461
4	3881	461
5	6923	461
0	8119	429

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 108

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

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

eval171.0ms (3.7%)

Compiler: Compiled 19009 to 9850 computations (48.2% saved)

prune123.0ms (2.6%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	817	0	817
Fresh	0	0	0
Picked	0	3	3
Done	0	1	1
Total	817	4	821

Accuracy

100.0%

Counts

821 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	83.8%	(.f64 (+.f64 (.f64 y y) #s(literal -1 binary64)) (/.f64 x (+.f64 y #s(literal -1 binary64))))
✓	100.0%	(*.f64 x (+.f64 y #s(literal 1 binary64)))
✓	47.8%	(*.f64 x y)
✓	54.4%	x

Compiler

Compiled 50 to 32 computations (36% saved)

regimes9.0ms (0.2%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

4 calls:

3.0ms	(*.f64 x (+.f64 y #s(literal 1 binary64)))
2.0ms	y
2.0ms	x
1.0ms	(+.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)

regimes7.0ms (0.2%)

Counts

2 → 3

Calls

Call 1

Inputs
x
(*.f64 x y)

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

Calls

2 calls:

4.0ms	x
3.0ms	y

Results

Accuracy	Segments	Branch
62.5%	7	`x`
98.1%	3	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes1.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

1 calls:

0.0ms

Results

Accuracy	Segments	Branch
54.4%	1	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

bsearch22.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	0.0009139651636407531	1.8864209000249639
11.0ms	-7953.751611068106	-1.0208770345348737e-9

Results

12.0ms

288×

valid

Compiler

Compiled 192 to 135 computations (29.7% saved)

Precisions

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

ival-add: 2.0ms (43.7% of total)

ival-mult: 2.0ms (43.7% of total)

const: 0.0ms (0% of total)

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

soundness4.0ms (0.1%)

Stop Event

1×

done

Compiler

Compiled 23 to 12 computations (47.8% saved)

preprocess65.0ms (1.4%)

Remove: (negabs x)
Compiler: Compiled 116 to 72 computations (37.9% saved)

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

analyze0.0ms (0%)

sample607.0ms (13%)

preprocess58.0ms (1.3%)

explain90.0ms (1.9%)

eval0.0ms (0%)

prune1.0ms (0%)

localize37.0ms (0.8%)

series4.0ms (0.1%)

rewrite652.0ms (14%)

simplify355.0ms (7.6%)

eval68.0ms (1.5%)

prune46.0ms (1%)

localize1.2s (25.3%)

series18.0ms (0.4%)

rewrite516.0ms (11.1%)

simplify624.0ms (13.4%)

eval171.0ms (3.7%)

prune123.0ms (2.6%)

regimes9.0ms (0.2%)

regimes7.0ms (0.2%)

regimes1.0ms (0%)

bsearch22.0ms (0.5%)

soundness4.0ms (0.1%)

preprocess65.0ms (1.4%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	14	34
1	60	32
2	166	30
3	380	30
4	506	30
5	606	30
6	611	30
0	5	5
1	15	5
2	19	5
3	32	5
4	32	5
0	32	4

Iter	Nodes	Cost
0	14	34
1	60	32
2	166	30
3	380	30
4	506	30
5	606	30
6	611	30
0	5	5
1	15	5
2	19	5
3	32	5
4	32	5
0	32	4

Iter	Nodes	Cost
0	14	34
1	60	32
2	166	30
3	380	30
4	506	30
5	606	30
6	611	30
0	5	5
1	15	5
2	19	5
3	32	5
4	32	5
0	32	4