Metrics for Data.Colour.CIE:lightness from colour-2.3.3

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
100%	100%	0%	0%	0%	0%	0%	1

Compiler

Compiled 7 to 6 computations (14.3% saved)

Precisions

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

ival-sub: 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)

sample621.0ms (18.8%)

Results

422.0ms	8187×	0	valid
3.0ms	38×	1	valid
4.0ms	31×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 236.0ms

ival-mult: 116.0ms (49.2% of total)

ival-sub: 103.0ms (43.7% of total)

const: 14.0ms (5.9% of total)

backward-pass: 4.0ms (1.7% of total)

Bogosity

preprocess17.0ms (0.5%)

Algorithm

2×	egg-herbie

Rules

32×	`sub-neg`
28×	`distribute-lft-neg-in`
24×	`cancel-sign-sub-inv`
18×	`neg-mul-1`
16×	`associate-+l-`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	18
1	22	16
2	47	15
3	92	15
4	147	15
5	177	15
6	191	15
7	197	15
8	202	15
9	204	15
0	5	5
1	9	5
2	10	5
0	10	4

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(- (* x 116) 16)

Outputs
(- (* x 116) 16)
(+.f64 (*.f64 x #s(literal 116 binary64)) #s(literal -16 binary64))

Call 2

Inputs
(- (* x 116) 16)
(- (* (neg x) 116) 16)
(neg (- (* (neg x) 116) 16))

Outputs
(- (* x 116) 16)
(+ (* x 116) -16)
(- (* (neg x) 116) 16)
(+ (* x -116) -16)
(neg (- (* (neg x) 116) 16))
(+ (* x 116) 16)

explain58.0ms (1.7%)

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`x`
-	-	`(*.f64 x #s(literal 116 binary64))`
-	-	`#s(literal 116 binary64)`
-	-	`#s(literal 16 binary64)`
-	-	`(-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))`

Results

33.0ms	510×	0	valid
0.0ms	2×	2	valid

Compiler

Compiled 32 to 25 computations (21.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-mult: 9.0ms (67% of total)

ival-sub: 3.0ms (22.3% of total)

const: 1.0ms (7.4% of total)

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

eval0.0ms (0%)

Compiler: Compiled 6 to 5 computations (16.7% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))

Compiler

Compiled 6 to 5 computations (16.7% saved)

localize99.0ms (3%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x #s(literal 116 binary64))
✓	cost-diff	0	(-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))
✓	accuracy	100.0%	(*.f64 x #s(literal 116 binary64))
✓	accuracy	100.0%	(-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))

Rules

4×	`+-lowering-+.f64`
4×	`-lowering-.f32`
4×	`-lowering-.f64`
4×	`+-lowering-+.f32`
4×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	11
1	9	11
2	10	11
0	10	10

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(- (* x 116) 16)
(* x 116)
x
116
16

Outputs
(- (* x 116) 16)
(+.f64 (*.f64 x #s(literal 116 binary64)) #s(literal -16 binary64))
(* x 116)
(*.f64 x #s(literal 116 binary64))
x
116
#s(literal 116 binary64)
16
#s(literal 16 binary64)

Results

82.0ms	255×	0	valid
0.0ms	1×	2	valid

Compiler

Compiled 13 to 10 computations (23.1% saved)

Precisions

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

ival-mult: 4.0ms (68.1% of total)

const: 1.0ms (17% of total)

ival-sub: 1.0ms (17% of total)

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

series3.0ms (0.1%)

Counts

2 → 24

Calls

Call 1

Inputs
#<alt (- (* x 116) 16)>
#<alt (* x 116)>

Outputs
#<alt -16>
#<alt (- (* 116 x) 16)>
#<alt (- (* 116 x) 16)>
#<alt (- (* 116 x) 16)>
#<alt (* 116 x)>
#<alt (* x (- 116 (* 16 (/ 1 x))))>
#<alt (* x (- 116 (* 16 (/ 1 x))))>
#<alt (* x (- 116 (* 16 (/ 1 x))))>
#<alt (* 116 x)>
#<alt (* -1 (* x (- (* 16 (/ 1 x)) 116)))>
#<alt (* -1 (* x (- (* 16 (/ 1 x)) 116)))>
#<alt (* -1 (* x (- (* 16 (/ 1 x)) 116)))>
#<alt (* 116 x)>
#<alt (* 116 x)>
#<alt (* 116 x)>
#<alt (* 116 x)>
#<alt (* 116 x)>
#<alt (* 116 x)>
#<alt (* 116 x)>
#<alt (* 116 x)>
#<alt (* 116 x)>
#<alt (* 116 x)>
#<alt (* 116 x)>
#<alt (* 116 x)>

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(- (* x 116) 16)
0.0ms	x	@	-inf	(* x 116)
0.0ms	x	@	0	(- (* x 116) 16)
0.0ms	x	@	inf	(* x 116)
0.0ms	x	@	0	(* x 116)

rewrite843.0ms (25.5%)

Algorithm

1×	batch-egg-rewrite

Rules

9662×	`accelerator-lowering-fma.f32`
9662×	`accelerator-lowering-fma.f64`
4548×	`/-lowering-/.f32`
4548×	`/-lowering-/.f64`
4348×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
1	24	8
2	150	8
3	1201	8
0	8296	7

Stop Event

1×	iter limit
1×	node limit

Counts

2 → 298

Calls

Call 1

Inputs
(- (* x 116) 16)
(* x 116)

Outputs
(+.f64 (*.f64 x #s(literal 116 binary64)) #s(literal -16 binary64))
(+.f64 #s(literal -16 binary64) (*.f64 x #s(literal 116 binary64)))
(+.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1560896 binary64)) (+.f64 (.f64 x #s(literal 1856 binary64)) (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) #s(literal 256 binary64)))) (.f64 #s(literal -4096 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal 1856 binary64)) (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) #s(literal 256 binary64))))))
(+.f64 (/.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) (+.f64 (.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 256 binary64) (+.f64 (.f64 x #s(literal 116 binary64)) #s(literal 16 binary64)))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal 116 binary64)) #s(literal -16 binary64)))) #s(literal -1 binary64)))
(-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1560896 binary64)) (+.f64 (.f64 x #s(literal 1856 binary64)) (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) #s(literal 256 binary64)))) (/.f64 #s(literal 4096 binary64) (+.f64 (.f64 x #s(literal 1856 binary64)) (+.f64 (.f64 x (*.f64 x #s(literal 13456 binary64))) #s(literal 256 binary64)))))
(-.f64 (/.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) (+.f64 (.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))) (/.f64 #s(literal 256 binary64) (+.f64 (.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x #s(literal 116 binary64)) #s(literal -16 binary64))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 3802961274698203136 binary64)) (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 2436396322816 binary64)) (+.f64 #s(literal 16777216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 6393430016 binary64))))) (+.f64 (.f64 x #s(literal 1856 binary64)) (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) #s(literal 256 binary64)))) (/.f64 (/.f64 #s(literal 68719476736 binary64) (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 2436396322816 binary64)) (+.f64 #s(literal 16777216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 6393430016 binary64))))) (+.f64 (.f64 x #s(literal 1856 binary64)) (+.f64 (.f64 x (*.f64 x #s(literal 13456 binary64))) #s(literal 256 binary64)))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 2436396322816 binary64)) (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1560896 binary64)) #s(literal 4096 binary64))) (+.f64 (.f64 x #s(literal 1856 binary64)) (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) #s(literal 256 binary64)))) (/.f64 (/.f64 #s(literal 16777216 binary64) (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1560896 binary64)) #s(literal 4096 binary64))) (+.f64 (.f64 x #s(literal 1856 binary64)) (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) #s(literal 256 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1560896 binary64)) (+.f64 #s(literal 256 binary64) (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) (.f64 x #s(literal 1856 binary64))))) (/.f64 #s(literal 4096 binary64) (+.f64 #s(literal 256 binary64) (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) (*.f64 x #s(literal 1856 binary64))))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 3802961274698203136 binary64)) (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 2436396322816 binary64)) (+.f64 #s(literal 16777216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 6393430016 binary64))))) (+.f64 #s(literal 256 binary64) (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) (.f64 x #s(literal 1856 binary64))))) (/.f64 (/.f64 #s(literal 68719476736 binary64) (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 2436396322816 binary64)) (+.f64 #s(literal 16777216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 6393430016 binary64))))) (+.f64 #s(literal 256 binary64) (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) (*.f64 x #s(literal 1856 binary64))))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 2436396322816 binary64)) (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1560896 binary64)) #s(literal 4096 binary64))) (+.f64 #s(literal 256 binary64) (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) (.f64 x #s(literal 1856 binary64))))) (/.f64 (/.f64 #s(literal 16777216 binary64) (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1560896 binary64)) #s(literal 4096 binary64))) (+.f64 #s(literal 256 binary64) (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) (.f64 x #s(literal 1856 binary64))))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 2436396322816 binary64)) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 181063936 binary64))) (+.f64 #s(literal 65536 binary64) (.f64 (.f64 x x) #s(literal 3444736 binary64))))) (+.f64 (.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))) (/.f64 (/.f64 #s(literal 16777216 binary64) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 181063936 binary64))) (+.f64 #s(literal 65536 binary64) (.f64 (.f64 x x) #s(literal 3444736 binary64))))) (+.f64 (.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 181063936 binary64))) (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) #s(literal 256 binary64))) (+.f64 (.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))) (/.f64 (/.f64 #s(literal 65536 binary64) (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) #s(literal 256 binary64))) (+.f64 (.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 (.f64 #s(literal -13456 binary64) (.f64 x x)) (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64))))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x #s(literal 116 binary64)) #s(literal -16 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal -16 binary64) (.f64 #s(literal -116 binary64) x))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x #s(literal 116 binary64)) #s(literal -16 binary64))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 2436396322816 binary64)) (.f64 (+.f64 (.f64 x #s(literal 1856 binary64)) (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) #s(literal 256 binary64))) (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1560896 binary64)) #s(literal 4096 binary64)))) (/.f64 #s(literal 16777216 binary64) (.f64 (+.f64 (.f64 x #s(literal 1856 binary64)) (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) #s(literal 256 binary64))) (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1560896 binary64)) #s(literal 4096 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 2436396322816 binary64)) (.f64 (+.f64 (.f64 x #s(literal 116 binary64)) #s(literal 16 binary64)) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 181063936 binary64))) (+.f64 #s(literal 65536 binary64) (.f64 (.f64 x x) #s(literal 3444736 binary64)))))) (/.f64 #s(literal 16777216 binary64) (.f64 (+.f64 (.f64 x #s(literal 116 binary64)) #s(literal 16 binary64)) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 181063936 binary64))) (+.f64 #s(literal 65536 binary64) (.f64 (.f64 x x) #s(literal 3444736 binary64)))))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 3802961274698203136 binary64)) (.f64 (+.f64 (.f64 x #s(literal 1856 binary64)) (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) #s(literal 256 binary64))) (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 2436396322816 binary64)) (+.f64 #s(literal 16777216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 6393430016 binary64)))))) (/.f64 #s(literal 68719476736 binary64) (.f64 (+.f64 (.f64 x #s(literal 1856 binary64)) (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) #s(literal 256 binary64))) (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 2436396322816 binary64)) (+.f64 #s(literal 16777216 binary64) (.f64 (.f64 x (*.f64 x x)) #s(literal 6393430016 binary64)))))))
(-.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 181063936 binary64))) (.f64 (+.f64 (.f64 x #s(literal 116 binary64)) #s(literal 16 binary64)) (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) #s(literal 256 binary64)))) (/.f64 #s(literal 65536 binary64) (.f64 (+.f64 (.f64 x #s(literal 116 binary64)) #s(literal 16 binary64)) (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) #s(literal 256 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1560896 binary64)) (+.f64 (.f64 x #s(literal 1856 binary64)) (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) #s(literal 256 binary64)))) (.f64 (+.f64 (.f64 x #s(literal 1856 binary64)) (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) #s(literal 256 binary64))) (+.f64 (.f64 x #s(literal 1856 binary64)) (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) #s(literal 256 binary64))))) (/.f64 (.f64 (+.f64 (.f64 x #s(literal 1856 binary64)) (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) #s(literal 256 binary64))) #s(literal 4096 binary64)) (.f64 (+.f64 (.f64 x #s(literal 1856 binary64)) (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) #s(literal 256 binary64))) (+.f64 (.f64 x #s(literal 1856 binary64)) (+.f64 (.f64 x (*.f64 x #s(literal 13456 binary64))) #s(literal 256 binary64))))))
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(.f64 (/.f64 (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 2436396322816 binary64)) #s(literal -16777216 binary64)) (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 2436396322816 binary64)) (.f64 (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64))) (.f64 (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64))) (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64))))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1560896 binary64)) #s(literal 4096 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 181063936 binary64))) (.f64 (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64))) (+.f64 (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64))) (.f64 #s(literal -13456 binary64) (.f64 x x))))))))
(.f64 (/.f64 (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 2436396322816 binary64)) #s(literal -16777216 binary64)) (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 181063936 binary64))) (.f64 (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64))) (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64)))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1560896 binary64)) #s(literal 4096 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) #s(literal -256 binary64)) (.f64 x #s(literal -1856 binary64))))))
(.f64 (/.f64 (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 3802961274698203136 binary64)) #s(literal -68719476736 binary64)) (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 2436396322816 binary64)) (.f64 (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64))) (.f64 (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64))) (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64))))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 2436396322816 binary64)) (+.f64 #s(literal 16777216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 6393430016 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 181063936 binary64))) (.f64 (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64))) (+.f64 (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64))) (.f64 #s(literal -13456 binary64) (*.f64 x x))))))))
(.f64 (/.f64 (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 3802961274698203136 binary64)) #s(literal -68719476736 binary64)) (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 181063936 binary64))) (.f64 (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64))) (+.f64 #s(literal 256 binary64) (.f64 x #s(literal 1856 binary64)))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 2436396322816 binary64)) (+.f64 #s(literal 16777216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 6393430016 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) #s(literal -256 binary64)) (*.f64 x #s(literal -1856 binary64))))))
(.f64 (/.f64 (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 2436396322816 binary64)) #s(literal -16777216 binary64)) (/.f64 (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) #s(literal -256 binary64)) (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1560896 binary64)) #s(literal -4096 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 181063936 binary64))) (+.f64 #s(literal 65536 binary64) (.f64 (.f64 x x) #s(literal 3444736 binary64))))) (+.f64 (.f64 x #s(literal 1856 binary64)) (+.f64 (.f64 x (*.f64 x #s(literal 13456 binary64))) #s(literal 256 binary64)))))
(.f64 (/.f64 (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 2436396322816 binary64)) #s(literal -16777216 binary64)) (/.f64 (+.f64 (.f64 #s(literal -13456 binary64) (.f64 x x)) #s(literal 256 binary64)) (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1560896 binary64)) #s(literal -4096 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 181063936 binary64))) (+.f64 #s(literal 65536 binary64) (.f64 (.f64 x x) #s(literal 3444736 binary64))))) (-.f64 (.f64 #s(literal -13456 binary64) (.f64 x x)) (+.f64 #s(literal 256 binary64) (*.f64 x #s(literal 1856 binary64))))))
(.f64 (/.f64 (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 2436396322816 binary64)) #s(literal -16777216 binary64)) (/.f64 (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) #s(literal -256 binary64)) (+.f64 (.f64 #s(literal -13456 binary64) (.f64 x x)) #s(literal 256 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 181063936 binary64))) (+.f64 #s(literal 65536 binary64) (.f64 (.f64 x x) #s(literal 3444736 binary64))))) (+.f64 #s(literal -16 binary64) (.f64 #s(literal -116 binary64) x))))
(.f64 (/.f64 (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 181063936 binary64))) #s(literal -65536 binary64)) (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1560896 binary64)) #s(literal 4096 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) #s(literal 256 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) (+.f64 #s(literal 256 binary64) (*.f64 x #s(literal -1856 binary64)))))))
(.f64 (/.f64 (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 181063936 binary64))) #s(literal -65536 binary64)) (/.f64 (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) #s(literal -256 binary64)) (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1560896 binary64)) #s(literal -4096 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) #s(literal 256 binary64))) (+.f64 (.f64 x #s(literal 1856 binary64)) (+.f64 (.f64 x (*.f64 x #s(literal 13456 binary64))) #s(literal 256 binary64)))))
(.f64 (/.f64 (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 181063936 binary64))) #s(literal -65536 binary64)) (/.f64 (+.f64 (.f64 #s(literal -13456 binary64) (.f64 x x)) #s(literal 256 binary64)) (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1560896 binary64)) #s(literal -4096 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) #s(literal 256 binary64))) (-.f64 (.f64 #s(literal -13456 binary64) (.f64 x x)) (+.f64 #s(literal 256 binary64) (*.f64 x #s(literal 1856 binary64))))))
(.f64 (/.f64 (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 181063936 binary64))) #s(literal -65536 binary64)) (/.f64 (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) #s(literal -256 binary64)) (+.f64 (.f64 #s(literal -13456 binary64) (.f64 x x)) #s(literal 256 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) #s(literal 256 binary64))) (+.f64 #s(literal -16 binary64) (.f64 #s(literal -116 binary64) x))))
(.f64 (/.f64 (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) #s(literal -256 binary64)) (/.f64 (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) #s(literal -256 binary64)) (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1560896 binary64)) #s(literal -4096 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal 1856 binary64)) (+.f64 (.f64 x (*.f64 x #s(literal 13456 binary64))) #s(literal 256 binary64)))))
(.f64 (/.f64 (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) #s(literal -256 binary64)) (/.f64 (+.f64 (.f64 #s(literal -13456 binary64) (.f64 x x)) #s(literal 256 binary64)) (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1560896 binary64)) #s(literal -4096 binary64)))) (/.f64 #s(literal -1 binary64) (+.f64 (.f64 x #s(literal 1856 binary64)) (+.f64 (.f64 x (*.f64 x #s(literal 13456 binary64))) #s(literal 256 binary64)))))
(.f64 (/.f64 (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) #s(literal -256 binary64)) (/.f64 (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) #s(literal -256 binary64)) (+.f64 (.f64 #s(literal -13456 binary64) (.f64 x x)) #s(literal 256 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -16 binary64) (.f64 #s(literal -116 binary64) x))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal 116 binary64)) #s(literal -16 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 116 binary64)) #s(literal -16 binary64))) #s(literal -1/2 binary64)))
(exp.f64 (log.f64 (*.f64 x #s(literal 116 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 x #s(literal 116 binary64))) #s(literal 1 binary64)))
(pow.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 1 binary64))
(*.f64 x #s(literal 116 binary64))
(*.f64 #s(literal 116 binary64) x)
(*.f64 #s(literal 116 binary64) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) #s(literal 116 binary64))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 #s(literal 116 binary64))))
(*.f64 (exp.f64 (log.f64 #s(literal 116 binary64))) (exp.f64 (log.f64 x)))
(.f64 (pow.f64 (.f64 x #s(literal 116 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 1/2 binary64)))

simplify25.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

180×	`accelerator-lowering-fma.f32`
180×	`accelerator-lowering-fma.f64`
132×	`-lowering-.f32`
132×	`-lowering-.f64`
72×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	88
1	36	88
2	78	88
3	168	88
4	264	88
5	294	88
6	356	88
7	406	88
8	442	88
9	451	88
10	455	88
0	455	79

Stop Event

1×	iter limit
1×	saturated

Counts

24 → 24

Calls

Call 1

Inputs
-16
(- (* 116 x) 16)
(- (* 116 x) 16)
(- (* 116 x) 16)
(* 116 x)
(* x (- 116 (* 16 (/ 1 x))))
(* x (- 116 (* 16 (/ 1 x))))
(* x (- 116 (* 16 (/ 1 x))))
(* 116 x)
(* -1 (* x (- (* 16 (/ 1 x)) 116)))
(* -1 (* x (- (* 16 (/ 1 x)) 116)))
(* -1 (* x (- (* 16 (/ 1 x)) 116)))
(* 116 x)
(* 116 x)
(* 116 x)
(* 116 x)
(* 116 x)
(* 116 x)
(* 116 x)
(* 116 x)
(* 116 x)
(* 116 x)
(* 116 x)
(* 116 x)

Outputs
-16
#s(literal -16 binary64)
(- (* 116 x) 16)
(+.f64 (*.f64 #s(literal 116 binary64) x) #s(literal -16 binary64))
(- (* 116 x) 16)
(+.f64 (*.f64 #s(literal 116 binary64) x) #s(literal -16 binary64))
(- (* 116 x) 16)
(+.f64 (*.f64 #s(literal 116 binary64) x) #s(literal -16 binary64))
(* 116 x)
(*.f64 #s(literal 116 binary64) x)
(* x (- 116 (* 16 (/ 1 x))))
(+.f64 (*.f64 #s(literal 116 binary64) x) #s(literal -16 binary64))
(* x (- 116 (* 16 (/ 1 x))))
(+.f64 (*.f64 #s(literal 116 binary64) x) #s(literal -16 binary64))
(* x (- 116 (* 16 (/ 1 x))))
(+.f64 (*.f64 #s(literal 116 binary64) x) #s(literal -16 binary64))
(* 116 x)
(*.f64 #s(literal 116 binary64) x)
(* -1 (* x (- (* 16 (/ 1 x)) 116)))
(+.f64 (*.f64 #s(literal 116 binary64) x) #s(literal -16 binary64))
(* -1 (* x (- (* 16 (/ 1 x)) 116)))
(+.f64 (*.f64 #s(literal 116 binary64) x) #s(literal -16 binary64))
(* -1 (* x (- (* 16 (/ 1 x)) 116)))
(+.f64 (*.f64 #s(literal 116 binary64) x) #s(literal -16 binary64))
(* 116 x)
(*.f64 #s(literal 116 binary64) x)
(* 116 x)
(*.f64 #s(literal 116 binary64) x)
(* 116 x)
(*.f64 #s(literal 116 binary64) x)
(* 116 x)
(*.f64 #s(literal 116 binary64) x)
(* 116 x)
(*.f64 #s(literal 116 binary64) x)
(* 116 x)
(*.f64 #s(literal 116 binary64) x)
(* 116 x)
(*.f64 #s(literal 116 binary64) x)
(* 116 x)
(*.f64 #s(literal 116 binary64) x)
(* 116 x)
(*.f64 #s(literal 116 binary64) x)
(* 116 x)
(*.f64 #s(literal 116 binary64) x)
(* 116 x)
(*.f64 #s(literal 116 binary64) x)
(* 116 x)
(*.f64 #s(literal 116 binary64) x)

eval191.0ms (5.8%)

Compiler: Compiled 14218 to 9272 computations (34.8% saved)

prune44.0ms (1.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	319	3	322
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	319	4	323

Accuracy

100.0%

Counts

323 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
✓	100.0%	(-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))
▶	49.2%	(*.f64 #s(literal 116 binary64) x)
▶	53.3%	#s(literal -16 binary64)

Compiler

Compiled 17 to 14 computations (17.6% saved)

localize39.0ms (1.2%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	6272	(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
✓	cost-diff	0	(*.f64 #s(literal 116 binary64) x)
✓	accuracy	100.0%	(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
✓	accuracy	100.0%	(*.f64 #s(literal 116 binary64) x)

Rules

4×	`+-lowering-+.f64`
4×	`-lowering-.f32`
4×	`-lowering-.f64`
4×	`+-lowering-+.f32`
4×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	11
1	7	11
0	7	10

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
-16
(* 116 x)
116
x
(+ (* x 116) -16)

Outputs
-16
#s(literal -16 binary64)
(* 116 x)
(*.f64 #s(literal 116 binary64) x)
116
#s(literal 116 binary64)
x
(+ (* x 116) -16)
(+.f64 #s(literal -16 binary64) (*.f64 #s(literal 116 binary64) x))

Results

19.0ms	255×	0	valid
0.0ms	1×	2	valid

Compiler

Compiled 15 to 11 computations (26.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-mult: 4.0ms (40% of total)

<compiled-spec>: 4.0ms (40% of total)

ival-add: 2.0ms (20% of total)

const: 1.0ms (10% of total)

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

series3.0ms (0.1%)

Counts

2 → 24

Calls

Call 1

Inputs
#<alt (* 116 x)>
#<alt (+ (* x 116) -16)>

Outputs
#<alt (* 116 x)>
#<alt (* 116 x)>
#<alt (* 116 x)>
#<alt (* 116 x)>
#<alt (* 116 x)>
#<alt (* 116 x)>
#<alt (* 116 x)>
#<alt (* 116 x)>
#<alt (* 116 x)>
#<alt (* 116 x)>
#<alt (* 116 x)>
#<alt (* 116 x)>
#<alt -16>
#<alt (- (* 116 x) 16)>
#<alt (- (* 116 x) 16)>
#<alt (- (* 116 x) 16)>
#<alt (* 116 x)>
#<alt (* x (- 116 (* 16 (/ 1 x))))>
#<alt (* x (- 116 (* 16 (/ 1 x))))>
#<alt (* x (- 116 (* 16 (/ 1 x))))>
#<alt (* 116 x)>
#<alt (* -1 (* x (- (* 16 (/ 1 x)) 116)))>
#<alt (* -1 (* x (- (* 16 (/ 1 x)) 116)))>
#<alt (* -1 (* x (- (* 16 (/ 1 x)) 116)))>

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(* 116 x)
0.0ms	x	@	0	(+ (* x 116) -16)
0.0ms	x	@	-inf	(* 116 x)
0.0ms	x	@	0	(* 116 x)
0.0ms	x	@	-inf	(+ (* x 116) -16)

rewrite755.0ms (22.8%)

Algorithm

1×	batch-egg-rewrite

Rules

10628×	`accelerator-lowering-fma.f32`
10628×	`accelerator-lowering-fma.f64`
4272×	`/-lowering-/.f32`
4272×	`/-lowering-/.f64`
4234×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	22	8
2	147	8
3	1223	8
0	8429	7

Stop Event

1×	iter limit
1×	node limit

Counts

2 → 219

Calls

Call 1

Inputs
(* 116 x)
(+ (* x 116) -16)

Outputs
(exp.f64 (log.f64 (*.f64 #s(literal 116 binary64) x)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 116 binary64) x)) #s(literal 1 binary64)))
(pow.f64 (*.f64 #s(literal 116 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 116 binary64) x)
(*.f64 #s(literal 116 binary64) (pow.f64 x #s(literal 1 binary64)))
(*.f64 x #s(literal 116 binary64))
(*.f64 (pow.f64 x #s(literal 1 binary64)) #s(literal 116 binary64))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 #s(literal 116 binary64))))
(*.f64 (exp.f64 (log.f64 #s(literal 116 binary64))) (exp.f64 (log.f64 x)))
(.f64 (pow.f64 (.f64 #s(literal 116 binary64) x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal 116 binary64) x) #s(literal 1/2 binary64)))
(+.f64 (*.f64 #s(literal 116 binary64) x) #s(literal -16 binary64))
(+.f64 #s(literal -16 binary64) (*.f64 #s(literal 116 binary64) x))
(+.f64 (/.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) (+.f64 (.f64 #s(literal 116 binary64) x) #s(literal 16 binary64))) (/.f64 #s(literal 256 binary64) (+.f64 #s(literal -16 binary64) (.f64 x #s(literal -116 binary64)))))
(+.f64 (/.f64 #s(literal 256 binary64) (+.f64 #s(literal -16 binary64) (.f64 x #s(literal -116 binary64)))) (/.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) (+.f64 (.f64 #s(literal 116 binary64) x) #s(literal 16 binary64))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 116 binary64) x) #s(literal -16 binary64)))) #s(literal -1 binary64)))
(-.f64 (*.f64 #s(literal 116 binary64) x) #s(literal 16 binary64))
(-.f64 (/.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) (+.f64 (.f64 #s(literal 116 binary64) x) #s(literal 16 binary64))) (/.f64 #s(literal 256 binary64) (+.f64 (.f64 #s(literal 116 binary64) x) #s(literal 16 binary64))))
(-.f64 #s(literal 0 binary64) (+.f64 #s(literal 16 binary64) (*.f64 x #s(literal -116 binary64))))
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(.f64 (/.f64 (+.f64 (.f64 #s(literal 2436396322816 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal -16777216 binary64)) (/.f64 (+.f64 #s(literal 256 binary64) (.f64 (.f64 x x) #s(literal -13456 binary64))) (-.f64 #s(literal 4096 binary64) (.f64 #s(literal 1560896 binary64) (.f64 x (.f64 x x)))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 181063936 binary64))) (+.f64 #s(literal 65536 binary64) (.f64 (.f64 x x) #s(literal 3444736 binary64))))) (+.f64 #s(literal 256 binary64) (.f64 x (+.f64 (.f64 x #s(literal 13456 binary64)) #s(literal 1856 binary64))))))
(.f64 (/.f64 (+.f64 (.f64 #s(literal 2436396322816 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal -16777216 binary64)) (/.f64 (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) #s(literal -256 binary64)) (-.f64 #s(literal 4096 binary64) (.f64 #s(literal 1560896 binary64) (.f64 x (.f64 x x)))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 181063936 binary64))) (+.f64 #s(literal 65536 binary64) (.f64 (.f64 x x) #s(literal 3444736 binary64))))) (+.f64 #s(literal -256 binary64) (neg.f64 (.f64 x (+.f64 (.f64 x #s(literal 13456 binary64)) #s(literal 1856 binary64)))))))
(.f64 (/.f64 (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 181063936 binary64))) #s(literal -65536 binary64)) (+.f64 (.f64 #s(literal 1560896 binary64) (.f64 x (.f64 x x))) #s(literal 4096 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) #s(literal 256 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) (+.f64 #s(literal 256 binary64) (*.f64 x #s(literal -1856 binary64)))))))
(.f64 (/.f64 (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 181063936 binary64))) #s(literal -65536 binary64)) (/.f64 (+.f64 #s(literal 256 binary64) (.f64 (.f64 x x) #s(literal -13456 binary64))) (-.f64 #s(literal 4096 binary64) (.f64 #s(literal 1560896 binary64) (.f64 x (.f64 x x)))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) #s(literal 256 binary64))) (+.f64 #s(literal 256 binary64) (.f64 x (+.f64 (.f64 x #s(literal 13456 binary64)) #s(literal 1856 binary64))))))
(.f64 (/.f64 (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 181063936 binary64))) #s(literal -65536 binary64)) (/.f64 (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) #s(literal -256 binary64)) (-.f64 #s(literal 4096 binary64) (.f64 #s(literal 1560896 binary64) (.f64 x (.f64 x x)))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) #s(literal 256 binary64))) (+.f64 #s(literal -256 binary64) (neg.f64 (.f64 x (+.f64 (.f64 x #s(literal 13456 binary64)) #s(literal 1856 binary64)))))))
(.f64 (/.f64 (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) #s(literal -256 binary64)) (/.f64 (+.f64 #s(literal 256 binary64) (.f64 (.f64 x x) #s(literal -13456 binary64))) (-.f64 #s(literal 4096 binary64) (.f64 #s(literal 1560896 binary64) (.f64 x (.f64 x x)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 256 binary64) (.f64 x (+.f64 (.f64 x #s(literal 13456 binary64)) #s(literal 1856 binary64))))))
(.f64 (/.f64 (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) #s(literal -256 binary64)) (/.f64 (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) #s(literal -256 binary64)) (-.f64 #s(literal 4096 binary64) (.f64 #s(literal 1560896 binary64) (.f64 x (.f64 x x)))))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 256 binary64) (.f64 x (+.f64 (.f64 x #s(literal 13456 binary64)) #s(literal 1856 binary64))))))
(.f64 (/.f64 (+.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) #s(literal -256 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -16 binary64) (.f64 x #s(literal -116 binary64)))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 116 binary64) x) #s(literal -16 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 116 binary64) x) #s(literal -16 binary64))) #s(literal -1/2 binary64)))

simplify27.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

180×	`accelerator-lowering-fma.f32`
180×	`accelerator-lowering-fma.f64`
132×	`-lowering-.f32`
132×	`-lowering-.f64`
72×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	88
1	36	88
2	78	88
3	168	88
4	264	88
5	294	88
6	356	88
7	406	88
8	442	88
9	451	88
10	455	88
0	455	79

Stop Event

1×	iter limit
1×	saturated

Counts

24 → 24

Calls

Call 1

Inputs
(* 116 x)
(* 116 x)
(* 116 x)
(* 116 x)
(* 116 x)
(* 116 x)
(* 116 x)
(* 116 x)
(* 116 x)
(* 116 x)
(* 116 x)
(* 116 x)
-16
(- (* 116 x) 16)
(- (* 116 x) 16)
(- (* 116 x) 16)
(* 116 x)
(* x (- 116 (* 16 (/ 1 x))))
(* x (- 116 (* 16 (/ 1 x))))
(* x (- 116 (* 16 (/ 1 x))))
(* 116 x)
(* -1 (* x (- (* 16 (/ 1 x)) 116)))
(* -1 (* x (- (* 16 (/ 1 x)) 116)))
(* -1 (* x (- (* 16 (/ 1 x)) 116)))

Outputs
(* 116 x)
(*.f64 #s(literal 116 binary64) x)
(* 116 x)
(*.f64 #s(literal 116 binary64) x)
(* 116 x)
(*.f64 #s(literal 116 binary64) x)
(* 116 x)
(*.f64 #s(literal 116 binary64) x)
(* 116 x)
(*.f64 #s(literal 116 binary64) x)
(* 116 x)
(*.f64 #s(literal 116 binary64) x)
(* 116 x)
(*.f64 #s(literal 116 binary64) x)
(* 116 x)
(*.f64 #s(literal 116 binary64) x)
(* 116 x)
(*.f64 #s(literal 116 binary64) x)
(* 116 x)
(*.f64 #s(literal 116 binary64) x)
(* 116 x)
(*.f64 #s(literal 116 binary64) x)
(* 116 x)
(*.f64 #s(literal 116 binary64) x)
-16
#s(literal -16 binary64)
(- (* 116 x) 16)
(+.f64 (*.f64 #s(literal 116 binary64) x) #s(literal -16 binary64))
(- (* 116 x) 16)
(+.f64 (*.f64 #s(literal 116 binary64) x) #s(literal -16 binary64))
(- (* 116 x) 16)
(+.f64 (*.f64 #s(literal 116 binary64) x) #s(literal -16 binary64))
(* 116 x)
(*.f64 #s(literal 116 binary64) x)
(* x (- 116 (* 16 (/ 1 x))))
(+.f64 (*.f64 #s(literal 116 binary64) x) #s(literal -16 binary64))
(* x (- 116 (* 16 (/ 1 x))))
(+.f64 (*.f64 #s(literal 116 binary64) x) #s(literal -16 binary64))
(* x (- 116 (* 16 (/ 1 x))))
(+.f64 (*.f64 #s(literal 116 binary64) x) #s(literal -16 binary64))
(* 116 x)
(*.f64 #s(literal 116 binary64) x)
(* -1 (* x (- (* 16 (/ 1 x)) 116)))
(+.f64 (*.f64 #s(literal 116 binary64) x) #s(literal -16 binary64))
(* -1 (* x (- (* 16 (/ 1 x)) 116)))
(+.f64 (*.f64 #s(literal 116 binary64) x) #s(literal -16 binary64))
(* -1 (* x (- (* 16 (/ 1 x)) 116)))
(+.f64 (*.f64 #s(literal 116 binary64) x) #s(literal -16 binary64))

eval124.0ms (3.7%)

Compiler: Compiled 7715 to 4993 computations (35.3% saved)

prune29.0ms (0.9%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	243	0	243
Fresh	0	0	0
Picked	0	3	3
Done	0	1	1
Total	243	4	247

Accuracy

100.0%

Counts

247 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
✓	100.0%	(-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))
✓	49.2%	(*.f64 #s(literal 116 binary64) x)
✓	53.3%	#s(literal -16 binary64)

Compiler

Compiled 31 to 25 computations (19.4% saved)

regimes8.0ms (0.2%)

Counts

4 → 1

Calls

Call 1

Inputs
#s(literal -16 binary64)
(*.f64 #s(literal 116 binary64) x)
(-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))

Outputs
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))

Calls

3 calls:

4.0ms	(*.f64 x #s(literal 116 binary64))
2.0ms	x
1.0ms	(-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))`
100.0%	1	`(*.f64 x #s(literal 116 binary64))`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes5.0ms (0.2%)

Counts

3 → 1

Calls

Call 1

Inputs
#s(literal -16 binary64)
(*.f64 #s(literal 116 binary64) x)
(-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))

Outputs
(-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))

Calls

3 calls:

2.0ms	(*.f64 x #s(literal 116 binary64))
2.0ms	x
1.0ms	(-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))`
100.0%	1	`(*.f64 x #s(literal 116 binary64))`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes5.0ms (0.2%)

Counts

2 → 3

Calls

Call 1

Inputs
#s(literal -16 binary64)
(*.f64 #s(literal 116 binary64) x)

Outputs
(*.f64 #s(literal 116 binary64) x)
#s(literal -16 binary64)
(*.f64 #s(literal 116 binary64) x)

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
98.8%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes1.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal -16 binary64)

Outputs
#s(literal -16 binary64)

Calls

1 calls:

0.0ms

Results

Accuracy	Segments	Branch
53.3%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch372.0ms (11.2%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
360.0ms	5.3120756705431217e-11	9.378220345140293e+22
10.0ms	-40.82526496323151	-5.645364922096082e-8

Results

359.0ms

320×

valid

Compiler

Compiled 170 to 148 computations (12.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 353.0ms

ival-mult: 350.0ms (99.3% of total)

ival-sub: 2.0ms (0.6% of total)

const: 1.0ms (0.3% of total)

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

soundness1.0ms (0%)

Stop Event

1×

done

Compiler

Compiled 26 to 20 computations (23.1% saved)

preprocess37.0ms (1.1%)

Compiler: Compiled 64 to 50 computations (21.9% saved)

Data.Colour.CIE:lightness from colour-2.3.3

analyze0.0ms (0%)

sample621.0ms (18.8%)

preprocess17.0ms (0.5%)

explain58.0ms (1.7%)

eval0.0ms (0%)

prune1.0ms (0%)

localize99.0ms (3%)

series3.0ms (0.1%)

rewrite843.0ms (25.5%)

simplify25.0ms (0.7%)

eval191.0ms (5.8%)

prune44.0ms (1.3%)

localize39.0ms (1.2%)

series3.0ms (0.1%)

rewrite755.0ms (22.8%)

simplify27.0ms (0.8%)

eval124.0ms (3.7%)

prune29.0ms (0.9%)

regimes8.0ms (0.2%)

regimes5.0ms (0.2%)

regimes5.0ms (0.2%)

regimes1.0ms (0%)

bsearch372.0ms (11.2%)

soundness1.0ms (0%)

preprocess37.0ms (1.1%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	9	18
1	22	16
2	47	15
3	92	15
4	147	15
5	177	15
6	191	15
7	197	15
8	202	15
9	204	15
0	5	5
1	9	5
2	10	5
0	10	4

Iter	Nodes	Cost
0	15	88
1	36	88
2	78	88
3	168	88
4	264	88
5	294	88
6	356	88
7	406	88
8	442	88
9	451	88
10	455	88
0	455	79

Iter	Nodes	Cost
0	15	88
1	36	88
2	78	88
3	168	88
4	264	88
5	294	88
6	356	88
7	406	88
8	442	88
9	451	88
10	455	88
0	455	79

Iter	Nodes	Cost
0	9	18
1	22	16
2	47	15
3	92	15
4	147	15
5	177	15
6	191	15
7	197	15
8	202	15
9	204	15
0	5	5
1	9	5
2	10	5
0	10	4

Iter	Nodes	Cost
0	15	88
1	36	88
2	78	88
3	168	88
4	264	88
5	294	88
6	356	88
7	406	88
8	442	88
9	451	88
10	455	88
0	455	79

Iter	Nodes	Cost
0	15	88
1	36	88
2	78	88
3	168	88
4	264	88
5	294	88
6	356	88
7	406	88
8	442	88
9	451	88
10	455	88
0	455	79

Iter	Nodes	Cost
0	9	18
1	22	16
2	47	15
3	92	15
4	147	15
5	177	15
6	191	15
7	197	15
8	202	15
9	204	15
0	5	5
1	9	5
2	10	5
0	10	4

Iter	Nodes	Cost
0	15	88
1	36	88
2	78	88
3	168	88
4	264	88
5	294	88
6	356	88
7	406	88
8	442	88
9	451	88
10	455	88
0	455	79

Iter	Nodes	Cost
0	15	88
1	36	88
2	78	88
3	168	88
4	264	88
5	294	88
6	356	88
7	406	88
8	442	88
9	451	88
10	455	88
0	455	79