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

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 10 to 7 computations (30% saved)

sample1.1s (56.2%)

Results

993.0ms	7236×	body	256	valid
78.0ms	1020×	body	256	infinite

Bogosity

preprocess92.0ms (4.8%)

Algorithm

1×	egg-herbie

Rules

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

Problems

256×

No Errors

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 30 to 19 computations (36.7% saved)

eval0.0ms (0%)

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

prune2.0ms (0.1%)

Alt Table

Click to see full alt table

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

Compiler

Compiled 34 to 20 computations (41.2% saved)

localize38.0ms (2%)

Localize:

Found 1 expressions with local error:

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

Compiler

Compiled 32 to 15 computations (53.1% 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	y	@	inf	(*.f64 (+.f64 x 1) y)
0.0ms	x	@	inf	(*.f64 (+.f64 x 1) y)
0.0ms	x	@	0	(*.f64 (+.f64 x 1) y)
0.0ms	y	@	-inf	(*.f64 (+.f64 x 1) y)

rewrite173.0ms (9%)

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))))

simplify63.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

1328×	`fma-def`
1284×	`div-sub`
584×	`associate-r`
580×	`*-commutative`
504×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	57	445
1	131	441
2	370	433
3	2043	433
4	4208	433
5	6626	433

Stop Event

1×	node limit

Counts

43 → 29

Calls

Call 1

Inputs
y
(+.f64 y (*.f64 x y))
(+.f64 y (*.f64 x y))
(+.f64 y (*.f64 x y))
(*.f64 x y)
(+.f64 y (*.f64 x y))
(+.f64 y (*.f64 x y))
(+.f64 y (*.f64 x y))
(*.f64 x y)
(+.f64 y (*.f64 x y))
(+.f64 y (*.f64 x y))
(+.f64 y (*.f64 x y))
(*.f64 y (+.f64 1 x))
(*.f64 y (+.f64 1 x))
(*.f64 y (+.f64 1 x))
(*.f64 y (+.f64 1 x))
(*.f64 y (+.f64 1 x))
(*.f64 y (+.f64 1 x))
(*.f64 y (+.f64 1 x))
(*.f64 y (+.f64 1 x))
(*.f64 y (+.f64 1 x))
(*.f64 y (+.f64 1 x))
(*.f64 y (+.f64 1 x))
(*.f64 y (+.f64 1 x))
(+.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 y (*.f64 x y))
(fma.f64 y x y)
(+.f64 y (*.f64 x y))
(fma.f64 y x y)
(+.f64 y (*.f64 x y))
(fma.f64 y x y)
(*.f64 x y)
(*.f64 y x)
(+.f64 y (*.f64 x y))
(fma.f64 y x y)
(+.f64 y (*.f64 x y))
(fma.f64 y x y)
(+.f64 y (*.f64 x y))
(fma.f64 y x y)
(*.f64 x y)
(*.f64 y x)
(+.f64 y (*.f64 x y))
(fma.f64 y x y)
(+.f64 y (*.f64 x y))
(fma.f64 y x y)
(+.f64 y (*.f64 x y))
(fma.f64 y x y)
(*.f64 y (+.f64 1 x))
(fma.f64 y x y)
(*.f64 y (+.f64 1 x))
(fma.f64 y x y)
(*.f64 y (+.f64 1 x))
(fma.f64 y x y)
(*.f64 y (+.f64 1 x))
(fma.f64 y x y)
(*.f64 y (+.f64 1 x))
(fma.f64 y x y)
(*.f64 y (+.f64 1 x))
(fma.f64 y x y)
(*.f64 y (+.f64 1 x))
(fma.f64 y x y)
(*.f64 y (+.f64 1 x))
(fma.f64 y x y)
(*.f64 y (+.f64 1 x))
(fma.f64 y x y)
(*.f64 y (+.f64 1 x))
(fma.f64 y x y)
(*.f64 y (+.f64 1 x))
(fma.f64 y x y)
(*.f64 y (+.f64 1 x))
(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 y (/.f64 (fma.f64 x x (-.f64 1 x)) (+.f64 1 (pow.f64 x 3))))
(*.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 (fma.f64 y (pow.f64 x 3) y) (fma.f64 x x (-.f64 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 y (/.f64 (fma.f64 x x (-.f64 1 x)) (+.f64 1 (pow.f64 x 3))))
(*.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 (fma.f64 y (pow.f64 x 3) y) (fma.f64 x x (-.f64 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 (0.3%)

Compiler: Compiled 287 to 140 computations (51.2% saved)

prune6.0ms (0.3%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	26	3	29
Fresh	0	0	0
Picked	2	0	2
Done	0	0	0
Total	28	3	31

Accuracy

100.0%

Counts

31 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(-.f64 (+.f64 (*.f64 y x) y) x)
▶	59.6%	(-.f64 (*.f64 y x) x)
▶	77.5%	(-.f64 y x)
▶	100.0%	(-.f64 (+.f64 (*.f64 y x) y) x)
▶	59.6%	(-.f64 (*.f64 y x) x)
▶	77.5%	(-.f64 y x)

Compiler

Compiled 42 to 24 computations (42.9% saved)

localize73.0ms (3.8%)

Compiler: Compiled 35 to 8 computations (77.1% 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	3	3
Done	0	0
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 y x) y) x)
✓	59.6%	(-.f64 (*.f64 y x) x)
✓	77.5%	(-.f64 y x)

Compiler

Compiled 51 to 24 computations (52.9% saved)

regimes14.0ms (0.7%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

3 calls:

5.0ms	(-.f64 (*.f64 (+.f64 x 1) y) x)
4.0ms	y
4.0ms	x

Results

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

Compiler

Compiled 45 to 22 computations (51.1% saved)

regimes44.0ms (2.3%)

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:

36.0ms	(-.f64 (*.f64 (+.f64 x 1) y) x)
3.0ms	y
3.0ms	x

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)

regimes24.0ms (1.3%)

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:

14.0ms	y
9.0ms	x

Results

Accuracy	Segments	Branch
99.6%	3	`x`
81.7%	5	`y`

Compiler

Compiled 16 to 9 computations (43.8% saved)

regimes3.0ms (0.2%)

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

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
77.5%	1	`x`

Compiler

Compiled 8 to 5 computations (37.5% saved)

bsearch32.0ms (1.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	1.3906285930045441e-11	4350.229738119943
17.0ms	-32333320005.3289	-0.007321202824979897

Results

29.0ms

320×

body

256

valid

Compiler

Compiled 294 to 190 computations (35.4% saved)

simplify9.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	90
1	38	90
2	44	90
3	46	90
4	47	90

Stop Event

1×	done
1×	saturated

Calls

Call 1

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

Compiler

Compiled 42 to 26 computations (38.1% saved)

soundness169.0ms (8.8%)

Rules

1388×	`pow1`
1328×	`fma-def`
1284×	`div-sub`
1282×	`log1p-expm1-u`
1282×	`expm1-log1p-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	142	13
2	1773	13
0	57	445
1	131	441
2	370	433
3	2043	433
4	4208	433
5	6626	433

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 53 to 27 computations (49.1% saved)

end0.0ms (0%)

preprocess90.0ms (4.7%)

Compiler: Compiled 90 to 48 computations (46.7% saved)

analyze0.0ms (0%)

sample1.1s (56.2%)

preprocess92.0ms (4.8%)

eval0.0ms (0%)

prune2.0ms (0.1%)

localize38.0ms (2%)

series2.0ms (0.1%)

rewrite173.0ms (9%)

simplify63.0ms (3.3%)

eval5.0ms (0.3%)

prune6.0ms (0.3%)

localize73.0ms (3.8%)

eval0.0ms (0%)

prune2.0ms (0.1%)

regimes14.0ms (0.7%)

regimes44.0ms (2.3%)

regimes24.0ms (1.3%)

regimes3.0ms (0.2%)

bsearch32.0ms (1.7%)

simplify9.0ms (0.5%)

soundness169.0ms (8.8%)

end0.0ms (0%)

preprocess90.0ms (4.7%)

Profiling