Metrics for Data.Colour.SRGB:transferFunction from colour-2.3.3

analyze1.0ms (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 10 to 7 computations (30% saved)

sample1.8s (67.1%)

Results

1.6s	7264×	body	256	valid
181.0ms	990×	body	256	infinite
1.0ms	2×	body	1024	valid

Bogosity

preprocess158.0ms (5.8%)

Algorithm

1×	egg-herbie

Rules

2278×	`fma-def`
198×	`distribute-rgt-in`
190×	`unsub-neg`
176×	`fma-neg`
114×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	107
1	44	95
2	113	79
3	498	79
4	1274	79
5	1989	79
6	2444	79
7	2506	79

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (*.f64 (+.f64 x 1) y) x)
(-.f64 (*.f64 (+.f64 x 1) y) x)
(-.f64 (*.f64 (+.f64 (neg.f64 x) 1) y) (neg.f64 x))
(-.f64 (*.f64 (+.f64 x 1) (neg.f64 y)) x)
(-.f64 (*.f64 (+.f64 y 1) x) y)

Outputs
(-.f64 (*.f64 (+.f64 x 1) y) x)
(-.f64 (fma.f64 x y y) x)
(fma.f64 x y (-.f64 y x))
(-.f64 (*.f64 (+.f64 x 1) y) x)
(-.f64 (fma.f64 x y y) x)
(fma.f64 x y (-.f64 y x))
(-.f64 (*.f64 (+.f64 (neg.f64 x) 1) y) (neg.f64 x))
(fma.f64 (+.f64 1 (neg.f64 x)) y (neg.f64 (neg.f64 x)))
(fma.f64 y (-.f64 1 x) x)
(fma.f64 x (-.f64 1 y) y)
(-.f64 (*.f64 (+.f64 x 1) (neg.f64 y)) x)
(fma.f64 (+.f64 x 1) (neg.f64 y) (neg.f64 x))
(-.f64 (neg.f64 x) (fma.f64 x y y))
(-.f64 (*.f64 (+.f64 y 1) x) y)
(fma.f64 (+.f64 1 y) x (neg.f64 y))
(-.f64 (+.f64 x (*.f64 y x)) y)
(-.f64 (fma.f64 x y x) y)
(fma.f64 y (+.f64 x -1) x)

Compiler

Compiled 9 to 6 computations (33.3% saved)

eval0.0ms (0%)

Compiler: Compiled 14 to 6 computations (57.1% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(-.f64 (*.f64 (+.f64 x 1) y) x)
▶	100.0%	(-.f64 (*.f64 (+.f64 x 1) y) x)

Compiler

Compiled 18 to 12 computations (33.3% saved)

localize28.0ms (1%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	100.0%	(*.f64 (+.f64 x 1) y)

Compiler

Compiled 21 to 13 computations (38.1% saved)

series2.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	y	@	0	(*.f64 (+.f64 x 1) y)
0.0ms	x	@	inf	(*.f64 (+.f64 x 1) y)
0.0ms	y	@	inf	(*.f64 (+.f64 x 1) y)
0.0ms	x	@	0	(*.f64 (+.f64 x 1) y)
0.0ms	y	@	-inf	(*.f64 (+.f64 x 1) y)

rewrite54.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

1388×	`pow1`
1282×	`log1p-expm1-u`
1282×	`expm1-log1p-u`
1280×	`add-exp-log`
1256×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	142	13
2	1773	13

Stop Event

1×	node limit

Counts

1 → 19

Calls

Call 1

Inputs
(*.f64 (+.f64 x 1) y)

Outputs
(+.f64 y (*.f64 y x))
(+.f64 y (*.f64 x y))
(+.f64 (*.f64 y x) y)
(+.f64 (*.f64 x y) y)
(-.f64 (+.f64 1 (+.f64 y (*.f64 y x))) 1)
(/.f64 (*.f64 y (+.f64 1 (pow.f64 x 3))) (fma.f64 x x (-.f64 1 x)))
(/.f64 (*.f64 y (fma.f64 x x -1)) (+.f64 x -1))
(/.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) y) (fma.f64 x x (-.f64 1 x)))
(/.f64 (*.f64 (fma.f64 x x -1) y) (+.f64 x -1))
(pow.f64 (+.f64 y (*.f64 y x)) 1)
(pow.f64 (cbrt.f64 (+.f64 y (*.f64 y x))) 3)
(pow.f64 (pow.f64 (+.f64 y (*.f64 y x)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 y (*.f64 y x))) 2)
(sqrt.f64 (pow.f64 (+.f64 y (*.f64 y x)) 2))
(log.f64 (pow.f64 (exp.f64 y) (+.f64 x 1)))
(cbrt.f64 (pow.f64 (+.f64 y (*.f64 y x)) 3))
(expm1.f64 (log1p.f64 (+.f64 y (*.f64 y x))))
(exp.f64 (+.f64 (log1p.f64 x) (log.f64 y)))
(log1p.f64 (expm1.f64 (+.f64 y (*.f64 y x))))

simplify338.0ms (12.5%)

Algorithm

1×	egg-herbie

Rules

1328×	`fma-def`
1298×	`div-sub`
596×	`*-commutative`
592×	`associate-r`
502×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	57	445
1	128	441
2	365	433
3	2030	433
4	4190	433
5	6606	433

Stop Event

1×	node limit

Counts

43 → 26

Calls

Call 1

Inputs
y
(+.f64 (*.f64 y x) y)
(+.f64 (*.f64 y x) y)
(+.f64 (*.f64 y x) y)
(*.f64 y x)
(+.f64 y (*.f64 y x))
(+.f64 y (*.f64 y x))
(+.f64 y (*.f64 y x))
(*.f64 y x)
(+.f64 y (*.f64 y x))
(+.f64 y (*.f64 y x))
(+.f64 y (*.f64 y x))
(*.f64 (+.f64 1 x) y)
(*.f64 (+.f64 1 x) y)
(*.f64 (+.f64 1 x) y)
(*.f64 (+.f64 1 x) y)
(*.f64 (+.f64 1 x) y)
(*.f64 (+.f64 1 x) y)
(*.f64 (+.f64 1 x) y)
(*.f64 (+.f64 1 x) y)
(*.f64 (+.f64 1 x) y)
(*.f64 (+.f64 1 x) y)
(*.f64 (+.f64 1 x) y)
(*.f64 (+.f64 1 x) y)
(+.f64 y (*.f64 y x))
(+.f64 y (*.f64 x y))
(+.f64 (*.f64 y x) y)
(+.f64 (*.f64 x y) y)
(-.f64 (+.f64 1 (+.f64 y (*.f64 y x))) 1)
(/.f64 (*.f64 y (+.f64 1 (pow.f64 x 3))) (fma.f64 x x (-.f64 1 x)))
(/.f64 (*.f64 y (fma.f64 x x -1)) (+.f64 x -1))
(/.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) y) (fma.f64 x x (-.f64 1 x)))
(/.f64 (*.f64 (fma.f64 x x -1) y) (+.f64 x -1))
(pow.f64 (+.f64 y (*.f64 y x)) 1)
(pow.f64 (cbrt.f64 (+.f64 y (*.f64 y x))) 3)
(pow.f64 (pow.f64 (+.f64 y (*.f64 y x)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 y (*.f64 y x))) 2)
(sqrt.f64 (pow.f64 (+.f64 y (*.f64 y x)) 2))
(log.f64 (pow.f64 (exp.f64 y) (+.f64 x 1)))
(cbrt.f64 (pow.f64 (+.f64 y (*.f64 y x)) 3))
(expm1.f64 (log1p.f64 (+.f64 y (*.f64 y x))))
(exp.f64 (+.f64 (log1p.f64 x) (log.f64 y)))
(log1p.f64 (expm1.f64 (+.f64 y (*.f64 y x))))

Outputs
y
(+.f64 (*.f64 y x) y)
(fma.f64 y x y)
(+.f64 (*.f64 y x) y)
(fma.f64 y x y)
(+.f64 (*.f64 y x) y)
(fma.f64 y x y)
(*.f64 y x)
(+.f64 y (*.f64 y x))
(fma.f64 y x y)
(+.f64 y (*.f64 y x))
(fma.f64 y x y)
(+.f64 y (*.f64 y x))
(fma.f64 y x y)
(*.f64 y x)
(+.f64 y (*.f64 y x))
(fma.f64 y x y)
(+.f64 y (*.f64 y x))
(fma.f64 y x y)
(+.f64 y (*.f64 y x))
(fma.f64 y x y)
(*.f64 (+.f64 1 x) y)
(fma.f64 y x y)
(*.f64 (+.f64 1 x) y)
(fma.f64 y x y)
(*.f64 (+.f64 1 x) y)
(fma.f64 y x y)
(*.f64 (+.f64 1 x) y)
(fma.f64 y x y)
(*.f64 (+.f64 1 x) y)
(fma.f64 y x y)
(*.f64 (+.f64 1 x) y)
(fma.f64 y x y)
(*.f64 (+.f64 1 x) y)
(fma.f64 y x y)
(*.f64 (+.f64 1 x) y)
(fma.f64 y x y)
(*.f64 (+.f64 1 x) y)
(fma.f64 y x y)
(*.f64 (+.f64 1 x) y)
(fma.f64 y x y)
(*.f64 (+.f64 1 x) y)
(fma.f64 y x y)
(*.f64 (+.f64 1 x) y)
(fma.f64 y x y)
(+.f64 y (*.f64 y x))
(fma.f64 y x y)
(+.f64 y (*.f64 x y))
(fma.f64 y x y)
(+.f64 (*.f64 y x) y)
(fma.f64 y x y)
(+.f64 (*.f64 x y) y)
(fma.f64 y x y)
(-.f64 (+.f64 1 (+.f64 y (*.f64 y x))) 1)
(fma.f64 y x y)
(/.f64 (*.f64 y (+.f64 1 (pow.f64 x 3))) (fma.f64 x x (-.f64 1 x)))
(*.f64 (/.f64 y (fma.f64 x x (-.f64 1 x))) (+.f64 1 (pow.f64 x 3)))
(/.f64 (fma.f64 y (pow.f64 x 3) y) (-.f64 (fma.f64 x x 1) x))
(/.f64 (*.f64 y (fma.f64 x x -1)) (+.f64 x -1))
(fma.f64 y x y)
(/.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) y) (fma.f64 x x (-.f64 1 x)))
(/.f64 (*.f64 y (+.f64 1 (pow.f64 x 3))) (fma.f64 x x (-.f64 1 x)))
(*.f64 (/.f64 y (fma.f64 x x (-.f64 1 x))) (+.f64 1 (pow.f64 x 3)))
(/.f64 (fma.f64 y (pow.f64 x 3) y) (-.f64 (fma.f64 x x 1) x))
(/.f64 (*.f64 (fma.f64 x x -1) y) (+.f64 x -1))
(fma.f64 y x y)
(pow.f64 (+.f64 y (*.f64 y x)) 1)
(fma.f64 y x y)
(pow.f64 (cbrt.f64 (+.f64 y (*.f64 y x))) 3)
(fma.f64 y x y)
(pow.f64 (pow.f64 (+.f64 y (*.f64 y x)) 3) 1/3)
(fma.f64 y x y)
(pow.f64 (sqrt.f64 (+.f64 y (*.f64 y x))) 2)
(fma.f64 y x y)
(sqrt.f64 (pow.f64 (+.f64 y (*.f64 y x)) 2))
(fma.f64 y x y)
(log.f64 (pow.f64 (exp.f64 y) (+.f64 x 1)))
(fma.f64 y x y)
(cbrt.f64 (pow.f64 (+.f64 y (*.f64 y x)) 3))
(fma.f64 y x y)
(expm1.f64 (log1p.f64 (+.f64 y (*.f64 y x))))
(fma.f64 y x y)
(exp.f64 (+.f64 (log1p.f64 x) (log.f64 y)))
(*.f64 y (exp.f64 (log1p.f64 x)))
(log1p.f64 (expm1.f64 (+.f64 y (*.f64 y x))))
(fma.f64 y x y)

eval5.0ms (0.2%)

Compiler: Compiled 251 to 121 computations (51.8% saved)

prune5.0ms (0.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	24	2	26
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	24	3	27

Accuracy

100.0%

Counts

27 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 (*.f64 (+.f64 x 1) y) x)
▶	64.7%	(-.f64 (*.f64 y x) x)
▶	73.9%	(-.f64 y x)
✓	100.0%	(-.f64 (*.f64 (+.f64 x 1) y) x)
▶	64.7%	(-.f64 (*.f64 y x) x)
▶	73.9%	(-.f64 y x)

Compiler

Compiled 42 to 26 computations (38.1% saved)

localize74.0ms (2.7%)

Compiler: Compiled 18 to 6 computations (66.7% saved)

eval0.0ms (0%)

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

prune2.0ms (0.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

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

Accuracy

100.0%

Counts

3 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 (*.f64 (+.f64 x 1) y) x)
✓	64.7%	(-.f64 (*.f64 y x) x)
✓	73.9%	(-.f64 y x)

Compiler

Compiled 38 to 22 computations (42.1% saved)

regimes12.0ms (0.4%)

Counts

3 → 1

Calls

Call 1

Inputs
(-.f64 y x)
(-.f64 (*.f64 y x) x)
(-.f64 (*.f64 (+.f64 x 1) y) x)

Outputs
(-.f64 (*.f64 (+.f64 x 1) y) x)

Calls

3 calls:

4.0ms	(-.f64 (*.f64 (+.f64 x 1) y) x)
3.0ms	x
3.0ms	y

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(-.f64 (*.f64 (+.f64 x 1) y) x)`

Compiler

Compiled 32 to 19 computations (40.6% saved)

regimes42.0ms (1.5%)

Counts

2 → 3

Calls

Call 1

Inputs
(-.f64 y x)
(-.f64 (*.f64 y x) x)

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

Calls

2 calls:

33.0ms	y
9.0ms	x

Results

Accuracy	Segments	Branch
99.4%	3	`x`
81.5%	5	`y`

Compiler

Compiled 16 to 9 computations (43.8% saved)

regimes12.0ms (0.5%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(-.f64 y x)

Outputs
(-.f64 y x)

Calls

2 calls:

9.0ms	y
3.0ms	x

Results

Accuracy	Segments	Branch
73.9%	1	`y`
73.9%	1	`x`

Compiler

Compiled 11 to 7 computations (36.4% saved)

bsearch92.0ms (3.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
77.0ms	4.5449089166740556e-14	5962.702532163576
14.0ms	-2.671278357101053	-1.1833211799544086e-5

Results

87.0ms	303×	body	256	valid
0.0ms	1×	body	256	infinite

Compiler

Compiled 280 to 181 computations (35.4% saved)

simplify11.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

10×	`+-commutative`
8×	`sub-neg`
6×	`*-commutative`
2×	`1-exp`
2×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	71
1	34	71
2	39	71
3	41	71
4	42	71

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(-.f64 (*.f64 (+.f64 x 1) y) x)
(if (<=.f64 x -1) (-.f64 (.f64 y x) x) (if (<=.f64 x 1) (-.f64 y x) (-.f64 (.f64 y x) x)))
(-.f64 y x)

Outputs
(-.f64 (*.f64 (+.f64 x 1) y) x)
(if (<=.f64 x -1) (-.f64 (.f64 y x) x) (if (<=.f64 x 1) (-.f64 y x) (-.f64 (.f64 y x) x)))
(if (or (<=.f64 x -1) (not (<=.f64 x 1))) (-.f64 (*.f64 x y) x) (-.f64 y x))
(-.f64 y x)

Compiler

Compiled 33 to 21 computations (36.4% saved)

soundness0.0ms (0%)

end0.0ms (0%)

preprocess54.0ms (2%)

Compiler: Compiled 76 to 44 computations (42.1% saved)

analyze1.0ms (0%)

sample1.8s (67.1%)

preprocess158.0ms (5.8%)

eval0.0ms (0%)

prune1.0ms (0%)

localize28.0ms (1%)

series2.0ms (0.1%)

rewrite54.0ms (2%)

simplify338.0ms (12.5%)

eval5.0ms (0.2%)

prune5.0ms (0.2%)

localize74.0ms (2.7%)

eval0.0ms (0%)

prune2.0ms (0.1%)

regimes12.0ms (0.4%)

regimes42.0ms (1.5%)

regimes12.0ms (0.5%)

bsearch92.0ms (3.4%)

simplify11.0ms (0.4%)

soundness0.0ms (0%)

end0.0ms (0%)

preprocess54.0ms (2%)

Profiling