Metrics for Data.HyperLogLog.Config:hll from hyperloglog-0.3.4

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 5 computations (37.5% saved)

Precisions

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

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

const: 0.0ms (0% of total)

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

sample735.0ms (25.6%)

Results

580.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 216.0ms

ival-mult: 205.0ms (95% of total)

const: 8.0ms (3.7% of total)

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

Bogosity

preprocess45.0ms (1.6%)

Algorithm

2×	egg-herbie

Rules

324×	`fma-define`
288×	`fnmadd-define`
208×	`fnmsub-define`
208×	`fmsub-define`
132×	`sum3-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	32
1	50	26
2	113	26
3	243	26
4	461	26
5	840	26
6	978	26
7	1002	26
0	4	5
1	8	4
2	10	4
0	10	4

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(* (* x y) y)

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

Call 2

Inputs
(* (* x y) y)
(* (* (neg x) y) y)
(* (* x (neg y)) (neg y))
(neg (* (* (neg x) y) y))
(neg (* (* x (neg y)) (neg y)))
(* (* y x) x)

Outputs
(* (* x y) y)
(* x (square y))
(* (* (neg x) y) y)
(fnmsub x (square y) 0)
(* (* x (neg y)) (neg y))
(* x (square y))
(neg (* (* (neg x) y) y))
(* x (square y))
(neg (* (* x (neg y)) (neg y)))
(fnmsub x (square y) 0)
(* (* y x) x)
(* y (square x))

Symmetry

(abs y)

(negabs x)

explain85.0ms (3%)

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(.f64 (.f64 x y) y)`
-	-	`(*.f64 x y)`
-	-	`x`
-	-	`y`

Results

71.0ms

512×

valid

Compiler

Compiled 33 to 14 computations (57.6% saved)

Precisions

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

ival-mult: 8.0ms (97.3% of total)

const: 0.0ms (0% of total)

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

eval0.0ms (0%)

Compiler: Compiled 7 to 4 computations (42.9% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(.f64 (.f64 x y) y)
▶	89.6%	(.f64 x (.f64 y y))

Compiler

Compiled 14 to 8 computations (42.9% saved)

simplify16.0ms (0.6%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

14×	`-lowering-.f32`
14×	`-lowering-.f64`
6×	`*-commutative`
2×	`associate-r`
2×	`square-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	17
1	10	17
0	10	17

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize35.0ms (1.2%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	99.8%	(.f64 (.f64 x y) y)
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	89.6%	(.f64 x (.f64 y y))

Results

28.0ms

256×

valid

Compiler

Compiled 23 to 7 computations (69.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-mult: 7.0ms (97.4% of total)

const: 0.0ms (0% of total)

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

series5.0ms (0.2%)

Counts

4 → 84

Calls

Call 1

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

Outputs
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (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 (pow y 2)>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<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)>

Calls

21 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(* x (* y y))
1.0ms	y	@	inf	(* x (* y y))
0.0ms	x	@	inf	(* x (* y y))
0.0ms	y	@	0	(* x (* y y))
0.0ms	y	@	-inf	(* x y)

rewrite163.0ms (5.7%)

Algorithm

1×	batch-egg-rewrite

Rules

2200×	`pow-lowering-pow.f64`
2200×	`pow-lowering-pow.f32`
1432×	`prod-exp`
1308×	`-lowering-.f32`
1308×	`-lowering-.f64`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	6	14
1	12	14
2	19	14
3	36	14
4	94	14
5	288	10
6	1873	4
7	1905	4
8	2039	4
9	3315	4
0	8675	4

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 11

Calls

Call 1

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

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

simplify10.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

14×	`-lowering-.f32`
14×	`-lowering-.f64`
4×	`*-commutative`
2×	`pow-lowering-pow.f64`
2×	`pow-lowering-pow.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	348
1	9	288
2	12	288
0	12	288

Stop Event

1×	iter limit
1×	saturated

Counts

84 → 84

Calls

Call 1

Inputs
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (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)
(pow y 2)
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* 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)

Outputs
(* x (pow y 2))
(.f64 y (.f64 x y))
(* x (pow y 2))
(.f64 y (.f64 x y))
(* x (pow y 2))
(.f64 y (.f64 x y))
(* x (pow y 2))
(.f64 y (.f64 x y))
(* x (pow y 2))
(.f64 y (.f64 x y))
(* x (pow y 2))
(.f64 y (.f64 x y))
(* x (pow y 2))
(.f64 y (.f64 x y))
(* x (pow y 2))
(.f64 y (.f64 x y))
(* x (pow y 2))
(.f64 y (.f64 x y))
(* x (pow y 2))
(.f64 y (.f64 x y))
(* x (pow y 2))
(.f64 y (.f64 x y))
(* x (pow y 2))
(.f64 y (.f64 x y))
(* x (pow y 2))
(.f64 y (.f64 x y))
(* x (pow y 2))
(.f64 y (.f64 x y))
(* x (pow y 2))
(.f64 y (.f64 x y))
(* x (pow y 2))
(.f64 y (.f64 x y))
(* x (pow y 2))
(.f64 y (.f64 x y))
(* x (pow y 2))
(.f64 y (.f64 x y))
(* x (pow y 2))
(.f64 y (.f64 x y))
(* x (pow y 2))
(.f64 y (.f64 x y))
(* x (pow y 2))
(.f64 y (.f64 x y))
(* x (pow y 2))
(.f64 y (.f64 x y))
(* x (pow y 2))
(.f64 y (.f64 x y))
(* x (pow y 2))
(.f64 y (.f64 x 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)
(* x (pow y 2))
(.f64 y (.f64 x y))
(* x (pow y 2))
(.f64 y (.f64 x y))
(* x (pow y 2))
(.f64 y (.f64 x y))
(* x (pow y 2))
(.f64 y (.f64 x y))
(* x (pow y 2))
(.f64 y (.f64 x y))
(* x (pow y 2))
(.f64 y (.f64 x y))
(* x (pow y 2))
(.f64 y (.f64 x y))
(* x (pow y 2))
(.f64 y (.f64 x y))
(* x (pow y 2))
(.f64 y (.f64 x y))
(* x (pow y 2))
(.f64 y (.f64 x y))
(* x (pow y 2))
(.f64 y (.f64 x y))
(* x (pow y 2))
(.f64 y (.f64 x y))
(* x (pow y 2))
(.f64 y (.f64 x y))
(* x (pow y 2))
(.f64 y (.f64 x y))
(* x (pow y 2))
(.f64 y (.f64 x y))
(* x (pow y 2))
(.f64 y (.f64 x y))
(* x (pow y 2))
(.f64 y (.f64 x y))
(* x (pow y 2))
(.f64 y (.f64 x y))
(* x (pow y 2))
(.f64 y (.f64 x y))
(* x (pow y 2))
(.f64 y (.f64 x y))
(* x (pow y 2))
(.f64 y (.f64 x y))
(* x (pow y 2))
(.f64 y (.f64 x y))
(* x (pow y 2))
(.f64 y (.f64 x y))
(* x (pow y 2))
(.f64 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 y)
(*.f64 x y)

eval10.0ms (0.3%)

Compiler: Compiled 455 to 12 computations (97.4% saved)

prune2.0ms (0.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	93	2	95
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	93	4	97

Accuracy

99.9%

Counts

97 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(.f64 (.f64 x y) y)
✓	89.6%	(.f64 x (.f64 y y))
▶	29.6%	(*.f64 x y)
▶	5.2%	x

Compiler

Compiled 22 to 13 computations (40.9% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 1 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x y)

Rules

4×	`-lowering-.f32`
4×	`-lowering-.f64`
2×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	6
1	4	6
0	4	6

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
x
(* x y)
x
y

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

localize25.0ms (0.9%)

Localize:

Found 1 expressions of interest:

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

Results

20.0ms

256×

valid

Compiler

Compiled 9 to 4 computations (55.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-mult: 9.0ms (101.5% of total)

const: 0.0ms (0% of total)

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

series0.0ms (0%)

Counts

1 → 24

Calls

Call 1

Inputs
#<alt (* x y)>

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)>

Calls

6 calls:

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

rewrite13.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

4×	`-lowering-.f32`
4×	`-lowering-.f64`
2×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	3
1	4	3
0	4	3

Stop Event

1×	iter limit
1×	saturated

Counts

1 → 2

Calls

Call 1

Inputs
(* x y)

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

simplify5.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

4×	`-lowering-.f32`
4×	`-lowering-.f64`
2×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	72
1	4	72
0	4	72

Stop Event

1×	iter limit
1×	saturated

Counts

24 → 24

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)

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)

eval2.0ms (0.1%)

Compiler: Compiled 80 to 4 computations (95% saved)

prune2.0ms (0.1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	26	0	26
Fresh	0	0	0
Picked	0	2	2
Done	0	2	2
Total	26	4	30

Accuracy

99.9%

Counts

30 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(.f64 (.f64 x y) y)
✓	89.6%	(.f64 x (.f64 y y))
✓	29.6%	(*.f64 x y)
✓	5.2%	x

Compiler

Compiled 38 to 19 computations (50% saved)

regimes7.0ms (0.2%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

3 calls:

2.0ms	y
2.0ms	x
2.0ms	(.f64 (.f64 x y) y)

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`y`
99.8%	1	`(.f64 (.f64 x y) y)`

Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes31.0ms (1.1%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

2 calls:

28.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
89.6%	1	`x`
89.6%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0.1%)

Counts

2 → 1

Calls

Call 1

Inputs
x
(*.f64 x y)

Outputs
(*.f64 x y)

Calls

2 calls:

2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
29.6%	1	`x`
29.6%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

2 calls:

1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
5.2%	1	`y`
5.2%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	14
1	9	14

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness1.6s (56%)

Rules

2200×	`pow-lowering-pow.f64`
2200×	`pow-lowering-pow.f32`
1432×	`prod-exp`
1308×	`-lowering-.f32`
1308×	`-lowering-.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	4	5
1	8	4
2	10	4
0	10	4
0	6	14
1	12	14
2	19	14
3	36	14
4	94	14
5	288	10
6	1873	4
7	1905	4
8	2039	4
9	3315	4
0	8675	4

Stop Event

1×	done
1×	iter limit
1×	node limit
1×	iter limit
1×	saturated

Compiler

Compiled 42 to 21 computations (50% saved)

preprocess51.0ms (1.8%)

Remove

(negabs x)

(abs y)

Compiler

Compiled 130 to 68 computations (47.7% saved)

Data.HyperLogLog.Config:hll from hyperloglog-0.3.4

analyze0.0ms (0%)

sample735.0ms (25.6%)

preprocess45.0ms (1.6%)

explain85.0ms (3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify16.0ms (0.6%)

localize35.0ms (1.2%)

series5.0ms (0.2%)

rewrite163.0ms (5.7%)

simplify10.0ms (0.3%)

eval10.0ms (0.3%)

prune2.0ms (0.1%)

simplify4.0ms (0.1%)

localize25.0ms (0.9%)

series0.0ms (0%)

rewrite13.0ms (0.5%)

simplify5.0ms (0.2%)

eval2.0ms (0.1%)

prune2.0ms (0.1%)

regimes7.0ms (0.2%)

regimes31.0ms (1.1%)

regimes3.0ms (0.1%)

regimes3.0ms (0.1%)

simplify7.0ms (0.2%)

soundness1.6s (56%)

preprocess51.0ms (1.8%)

end0.0ms (0%)

Profiling