Metrics for a parameter of renormalized beta distribution

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	12.5%	87.5%	0%	0%	0%	0
100%	12.5%	0%	87.5%	0%	0%	0%	1

Compiler

Compiled 23 to 16 computations (30.4% saved)

sample828.0ms (55.7%)

Memory

70.0MiB live, 931.6MiB allocated; 127ms collecting garbage

Samples

532.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 333.0ms

ival-mult: 100.0ms (30% of total)

ival-sub: 88.0ms (26.4% of total)

ival-div: 60.0ms (18% of total)

ival-<: 54.0ms (16.2% of total)

ival-and: 15.0ms (4.5% of total)

exact: 11.0ms (3.3% of total)

ival-assert: 3.0ms (0.9% of total)

adjust: 2.0ms (0.6% of total)

Bogosity

explain100.0ms (6.7%)

Memory

-3.2MiB live, 139.9MiB allocated; 24ms collecting garbage

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(-.f64 (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64))`
-	-	`(/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v)`
-	-	`v`
-	-	`(.f64 (-.f64 (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) m)`
-	-	`(-.f64 #s(literal 1 binary64) m)`
-	-	`#s(literal 1 binary64)`
-	-	`(*.f64 m (-.f64 #s(literal 1 binary64) m))`
-	-	`m`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	1

Precision?

0/0

Recall?

0/0

Samples

33.0ms

512×

valid

Compiler

Compiled 91 to 28 computations (69.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-mult: 6.0ms (39.6% of total)

ival-sub: 5.0ms (33% of total)

ival-div: 3.0ms (19.8% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

preprocess153.0ms (10.3%)

Memory

-35.8MiB live, 131.1MiB allocated; 30ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	105
1	54	103
2	94	103
3	177	99
4	452	97
5	2041	97
6	6977	97
0	12	23
0	15	23
1	17	23
2	20	23
3	28	23
4	54	23
5	191	23
6	1432	23
7	4386	23
0	8057	23

Stop Event

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

Calls

Call 1

Inputs
(.f64 (-.f64 (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) m)

Outputs
(.f64 (-.f64 (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) m)

Compiler

Compiled 11 to 8 computations (27.3% saved)

eval0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) m)

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify78.0ms (5.3%)

Memory

-4.0MiB live, 42.7MiB allocated; 2ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 m (-.f64 #s(literal 1 binary64) m))
cost-diff	0	(/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v)
cost-diff	0	(-.f64 (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64))
cost-diff	0	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) m)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	84
0	15	84
1	17	84
2	20	84
3	28	84
4	54	84
5	191	84
6	1432	84
7	4386	84
0	8057	84

Stop Event

1×	saturated
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
(.f64 (-.f64 (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) m)
(-.f64 (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64))
(/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v)
(*.f64 m (-.f64 #s(literal 1 binary64) m))
m
(-.f64 #s(literal 1 binary64) m)
#s(literal 1 binary64)
v

Outputs
(.f64 (-.f64 (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) m)
(-.f64 (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64))
(/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v)
(*.f64 m (-.f64 #s(literal 1 binary64) m))
m
(-.f64 #s(literal 1 binary64) m)
#s(literal 1 binary64)
v

localize23.0ms (1.5%)

Memory

-18.9MiB live, 27.2MiB allocated; 3ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 #s(literal 1 binary64) m)
accuracy	0.0078125	(*.f64 m (-.f64 #s(literal 1 binary64) m))
accuracy	0.03125	(/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v)
accuracy	0.09375	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) m)

Samples

14.0ms

256×

valid

Compiler

Compiled 40 to 10 computations (75% saved)

Precisions

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

ival-mult: 3.0ms (40% of total)

ival-div: 2.0ms (26.6% of total)

ival-sub: 2.0ms (26.6% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series7.0ms (0.5%)

Memory

10.2MiB live, 10.2MiB allocated; 0ms collecting garbage

Counts

5 → 31

Calls

Call 1

Inputs
(.f64 (-.f64 (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) m)
(-.f64 (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64))
(/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v)
(*.f64 m (-.f64 #s(literal 1 binary64) m))
(-.f64 #s(literal 1 binary64) m)

Outputs
(* -1 m)
(* m (- (/ m v) 1))
(* m (- (* m (+ (* -1 (/ m v)) (/ 1 v))) 1))
-1
(- (/ m v) 1)
(- (* m (+ (* -1 (/ m v)) (/ 1 v))) 1)
(/ m v)
(* m (+ (* -1 (/ m v)) (/ 1 v)))
m
(* m (+ 1 (* -1 m)))
1
(+ 1 (* -1 m))
(* -1 (/ (pow m 3) v))
(* (pow m 3) (- (/ 1 (* m v)) (/ 1 v)))
(* (pow m 3) (- (/ 1 (* m v)) (+ (/ 1 v) (/ 1 (pow m 2)))))
(* -1 (/ (pow m 2) v))
(* (pow m 2) (- (/ 1 (* m v)) (/ 1 v)))
(* (pow m 2) (- (/ 1 (* m v)) (+ (/ 1 v) (/ 1 (pow m 2)))))
(* -1 (pow m 2))
(* (pow m 2) (- (/ 1 m) 1))
(* m (- (/ 1 m) 1))
(* -1 (* (pow m 3) (- (/ 1 v) (/ 1 (* m v)))))
(* -1 (* (pow m 3) (+ (* -1 (/ (- (/ 1 v) (/ 1 m)) m)) (/ 1 v))))
(* (pow m 2) (- (* -1 (/ (- (/ 1 m) (/ 1 v)) m)) (/ 1 v)))
(* -1 (* m (- 1 (/ 1 m))))
(/ (* (pow m 2) (- 1 m)) v)
(/ (+ (* -1 (* m v)) (* (pow m 2) (- 1 m))) v)
(/ (* m (- 1 m)) v)
(/ (+ (* -1 v) (* m (- 1 m))) v)
(+ (* -1 m) (/ (* (pow m 2) (- 1 m)) v))
(- (/ (* m (- 1 m)) v) 1)

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	m	@	-inf	((* (- (/ (* m (- 1 m)) v) 1) m) (- (/ (* m (- 1 m)) v) 1) (/ (* m (- 1 m)) v) (* m (- 1 m)) (- 1 m))
1.0ms	m	@	inf	((* (- (/ (* m (- 1 m)) v) 1) m) (- (/ (* m (- 1 m)) v) 1) (/ (* m (- 1 m)) v) (* m (- 1 m)) (- 1 m))
1.0ms	m	@	0	((* (- (/ (* m (- 1 m)) v) 1) m) (- (/ (* m (- 1 m)) v) 1) (/ (* m (- 1 m)) v) (* m (- 1 m)) (- 1 m))
1.0ms	v	@	0	((* (- (/ (* m (- 1 m)) v) 1) m) (- (/ (* m (- 1 m)) v) 1) (/ (* m (- 1 m)) v) (* m (- 1 m)) (- 1 m))
1.0ms	v	@	inf	((* (- (/ (* m (- 1 m)) v) 1) m) (- (/ (* m (- 1 m)) v) 1) (/ (* m (- 1 m)) v) (* m (- 1 m)) (- 1 m))

simplify37.0ms (2.5%)

Memory

32.1MiB live, 32.1MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	72	478
1	178	430
2	482	430
3	1816	428
0	8448	428

Stop Event

1×	saturated
1×	node limit

Counts

31 → 2

Calls

Call 1

Inputs
(* -1 m)
(* m (- (/ m v) 1))
(* m (- (* m (+ (* -1 (/ m v)) (/ 1 v))) 1))
-1
(- (/ m v) 1)
(- (* m (+ (* -1 (/ m v)) (/ 1 v))) 1)
(/ m v)
(* m (+ (* -1 (/ m v)) (/ 1 v)))
m
(* m (+ 1 (* -1 m)))
1
(+ 1 (* -1 m))
(* -1 (/ (pow m 3) v))
(* (pow m 3) (- (/ 1 (* m v)) (/ 1 v)))
(* (pow m 3) (- (/ 1 (* m v)) (+ (/ 1 v) (/ 1 (pow m 2)))))
(* -1 (/ (pow m 2) v))
(* (pow m 2) (- (/ 1 (* m v)) (/ 1 v)))
(* (pow m 2) (- (/ 1 (* m v)) (+ (/ 1 v) (/ 1 (pow m 2)))))
(* -1 (pow m 2))
(* (pow m 2) (- (/ 1 m) 1))
(* m (- (/ 1 m) 1))
(* -1 (* (pow m 3) (- (/ 1 v) (/ 1 (* m v)))))
(* -1 (* (pow m 3) (+ (* -1 (/ (- (/ 1 v) (/ 1 m)) m)) (/ 1 v))))
(* (pow m 2) (- (* -1 (/ (- (/ 1 m) (/ 1 v)) m)) (/ 1 v)))
(* -1 (* m (- 1 (/ 1 m))))
(/ (* (pow m 2) (- 1 m)) v)
(/ (+ (* -1 (* m v)) (* (pow m 2) (- 1 m))) v)
(/ (* m (- 1 m)) v)
(/ (+ (* -1 v) (* m (- 1 m))) v)
(+ (* -1 m) (/ (* (pow m 2) (- 1 m)) v))
(- (/ (* m (- 1 m)) v) 1)

Outputs
(* -1 m)
(* m (- (/ m v) 1))
(* m (- (* m (+ (* -1 (/ m v)) (/ 1 v))) 1))
-1
#s(literal -1 binary64)
(- (/ m v) 1)
(- (* m (+ (* -1 (/ m v)) (/ 1 v))) 1)
(/ m v)
(* m (+ (* -1 (/ m v)) (/ 1 v)))
m
(* m (+ 1 (* -1 m)))
1
#s(literal 1 binary64)
(+ 1 (* -1 m))
(* -1 (/ (pow m 3) v))
(* (pow m 3) (- (/ 1 (* m v)) (/ 1 v)))
(* (pow m 3) (- (/ 1 (* m v)) (+ (/ 1 v) (/ 1 (pow m 2)))))
(* -1 (/ (pow m 2) v))
(* (pow m 2) (- (/ 1 (* m v)) (/ 1 v)))
(* (pow m 2) (- (/ 1 (* m v)) (+ (/ 1 v) (/ 1 (pow m 2)))))
(* -1 (pow m 2))
(* (pow m 2) (- (/ 1 m) 1))
(* m (- (/ 1 m) 1))
(* -1 (* (pow m 3) (- (/ 1 v) (/ 1 (* m v)))))
(* -1 (* (pow m 3) (+ (* -1 (/ (- (/ 1 v) (/ 1 m)) m)) (/ 1 v))))
(* (pow m 2) (- (* -1 (/ (- (/ 1 m) (/ 1 v)) m)) (/ 1 v)))
(* -1 (* m (- 1 (/ 1 m))))
(/ (* (pow m 2) (- 1 m)) v)
(/ (+ (* -1 (* m v)) (* (pow m 2) (- 1 m))) v)
(/ (* m (- 1 m)) v)
(/ (+ (* -1 v) (* m (- 1 m))) v)
(+ (* -1 m) (/ (* (pow m 2) (- 1 m)) v))
(- (/ (* m (- 1 m)) v) 1)

rewrite126.0ms (8.5%)

Memory

-20.0MiB live, 64.2MiB allocated; 15ms collecting garbage

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	12	75
1	15	65
2	17	57
3	19	51
4	21	47
5	23	45
6	25	45
0	25	45
1	58	45
0	347	45
1	432	45
2	594	45
3	746	45
4	801	45
5	809	45

Stop Event

1×	saturated
1×	iter limit
1×	iter limit
1×	unsound
1×	saturated

Counts

5 → 0

Calls

Call 1

Inputs
(.f64 (-.f64 (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) m)
(-.f64 (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64))
(/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v)
(*.f64 m (-.f64 #s(literal 1 binary64) m))
(-.f64 #s(literal 1 binary64) m)

Outputs

eval0.0ms (0%)

Memory: 1.3MiB live, 1.3MiB allocated; 0ms collecting garbage
Compiler: Compiled 26 to 16 computations (38.5% saved)

prune1.0ms (0.1%)

Memory

3.5MiB live, 3.5MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (2 fresh and 1 done)

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

Accuracy

99.8%

Counts

3 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) m)
▶	50.6%	(.f64 (-.f64 (/.f64 (.f64 m #s(approx (- 1 m) #s(literal 1 binary64))) v) #s(literal 1 binary64)) m)
▶	28.9%	(.f64 #s(approx (- (/ ( m (- 1 m)) v) 1) #s(literal -1 binary64)) m)

Status

Accuracy

Program

✓

99.8%

(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) m)

▶

50.6%

(*.f64 (-.f64 (/.f64 (*.f64 m #s(approx (- 1 m) #s(literal 1 binary64))) v) #s(literal 1 binary64)) m)

▶

28.9%

(*.f64 #s(approx (- (/ (* m (- 1 m)) v) 1) #s(literal -1 binary64)) m)

Compiler

Compiled 37 to 28 computations (24.3% saved)

simplify133.0ms (8.9%)

Memory

-0.4MiB live, 37.5MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	142
0	24	142
1	29	142
2	37	142
3	51	142
4	113	142
5	573	142
0	8579	142

Stop Event

1×	saturated
1×	node limit
1×	iter limit

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Iter	Nodes	Cost
0	12	75
1	15	65
2	17	57
3	19	51
4	21	47
5	23	45
6	25	45
0	25	45
1	58	45
0	347	45
1	432	45
2	594	45
3	746	45
4	801	45
5	809	45

Iter	Nodes	Cost
0	12	75
1	15	65
2	17	57
3	19	51
4	21	47
5	23	45
6	25	45
0	25	45
1	58	45
0	347	45
1	432	45
2	594	45
3	746	45
4	801	45
5	809	45

start0.0ms (0%)

analyze0.0ms (0%)

sample828.0ms (55.7%)

explain100.0ms (6.7%)

preprocess153.0ms (10.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify78.0ms (5.3%)

localize23.0ms (1.5%)

series7.0ms (0.5%)

simplify37.0ms (2.5%)

rewrite126.0ms (8.5%)

eval0.0ms (0%)

prune1.0ms (0.1%)

simplify133.0ms (8.9%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	12	75
1	15	65
2	17	57
3	19	51
4	21	47
5	23	45
6	25	45
0	25	45
1	58	45
0	347	45
1	432	45
2	594	45
3	746	45
4	801	45
5	809	45