Details

sample262.0ms

Algorithm

intervals

Results

116.0ms	665×	body	80	nan
84.0ms	407×	body	80	valid

simplify1.6s

Counts: 1 → 1

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize33.0ms

Local error

Found 3 expressions with local error:

0.9b	(pow (* n (* 2 PI)) (- 1/2 (/ k 2)))
0.2b	(* n (* 2 PI))
0.2b	(/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

493×	`times-frac`
383×	`add-sqr-sqrt`
380×	`*-un-lft-identity`
378×	`add-cube-cbrt`
328×	`unpow-prod-up`
312×	`prod-diff`
141×	`sqrt-prod`
46×	`associate-/l*`
26×	`add-exp-log`
25×	`div-inv`
14×	`pow1`
10×	`add-cbrt-cube`
9×	`prod-exp`
8×	`sub-neg` `unpow-prod-down` `sqr-pow`
6×	`pow-unpow` `associate-/r*` `pow-prod-down` `pow-exp`
5×	`div-exp`
3×	`expm1-log1p-u` `pow-pow` `associate-l` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`pow-to-exp` `pow-sub` `difference-of-squares`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `associate-r` `*-commutative` `distribute-lft-out--` `associate-/l/`

Counts

3 → 436

Calls

3 calls:

Slowest

31.0ms	(pow (* n (* 2 PI)) (- 1/2 (/ k 2)))
25.0ms	(* n (* 2 PI))
24.0ms	(/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))

series618.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

378.0ms	(/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))
200.0ms	(pow (* n (* 2 PI)) (- 1/2 (/ k 2)))
40.0ms	(* n (* 2 PI))

simplify2.1s

Counts: 445 → 445

prune6.9s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize50.0ms

Local error

Found 4 expressions with local error:

0.9b	(pow (* n (* 2 PI)) (- 1/2 (/ k 2)))
0.2b	(* n (* 2 PI))
0.2b	(/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))
0.2b	(/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))

rewrite517.0ms

Algorithm

rewrite-expression-head

Rules

11044×	`times-frac`
8334×	`sqrt-prod`
6333×	`add-sqr-sqrt`
6330×	`*-un-lft-identity`
6328×	`add-cube-cbrt`
4141×	`unpow-prod-up`
3939×	`prod-diff`
464×	`associate-/l*`
315×	`div-inv`
101×	`sub-neg` `unpow-prod-down` `sqr-pow`
46×	`add-exp-log`
18×	`associate-/r*`
16×	`add-cbrt-cube` `div-exp`
15×	`pow1`
12×	`prod-exp`
9×	`pow-exp`
6×	`pow-unpow` `pow-prod-down`
4×	`expm1-log1p-u` `cbrt-undiv` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow-to-exp` `pow-pow` `associate-l` `cbrt-unprod`
2×	`clear-num` `frac-2neg` `pow-sub` `difference-of-squares` `associate-/l/`
1×	`associate-r` `*-commutative` `distribute-lft-out--`

Counts

4 → 4788

Calls

4 calls:

Slowest

43.0ms	(/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))
41.0ms	(/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
21.0ms	(pow (* n (* 2 PI)) (- 1/2 (/ k 2)))
13.0ms	(* n (* 2 PI))

series1.3s

Counts

4 → 12

Calls

4 calls:

Slowest

659.0ms	(pow (* n (* 2 PI)) (- 1/2 (/ k 2)))
316.0ms	(/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))
266.0ms	(/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
43.0ms	(* n (* 2 PI))

simplify15.5s

Counts: 4800 → 4800

prune1.6m

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize57.0ms

Local error

Found 4 expressions with local error:

0.8b	(pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))
0.8b	(pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))
0.2b	(* n (* 2 PI))
0.2b	(* n (* 2 PI))

rewrite101.0ms

Algorithm

rewrite-expression-head

Rules

56×	`add-sqr-sqrt`
44×	`pow-unpow`
42×	`times-frac`
38×	`*-un-lft-identity`
26×	`pow1` `add-exp-log` `add-cube-cbrt`
14×	`add-cbrt-cube`
12×	`pow-prod-down` `prod-exp` `difference-of-squares`
6×	`pow-pow` `associate-l` `pow-exp` `cbrt-unprod` `distribute-lft-out--`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`pow-to-exp` `unpow-prod-down` `div-sub` `associate-r` `*-commutative` `div-inv` `pow-sub` `sqr-pow`

Counts

4 → 126

Calls

4 calls:

Slowest

31.0ms	(pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))
29.0ms	(pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))
25.0ms	(* n (* 2 PI))
13.0ms	(* n (* 2 PI))

series500.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

219.0ms	(pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))
204.0ms	(pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))
39.0ms	(* n (* 2 PI))
38.0ms	(* n (* 2 PI))

simplify2.5s

Counts: 138 → 138

prune1.9s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.9b	(pow (* n (* 2 PI)) (- 1/2 (/ k 2)))
0.9b	(pow (* n (* 2 PI)) (- 1/2 (/ k 2)))
0.2b	(* n (* 2 PI))
0.2b	(* n (* 2 PI))

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

86×	`add-sqr-sqrt`
82×	`unpow-prod-up`
80×	`*-un-lft-identity`
78×	`prod-diff`
76×	`add-cube-cbrt`
56×	`times-frac`
26×	`pow1` `add-exp-log`
14×	`add-cbrt-cube`
12×	`pow-unpow` `pow-prod-down` `prod-exp`
6×	`pow-pow` `associate-l` `pow-exp` `cbrt-unprod` `div-inv`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp` `difference-of-squares`
2×	`pow-to-exp` `sub-neg` `unpow-prod-down` `associate-r` `*-commutative` `distribute-lft-out--` `pow-sub` `sqr-pow`

Counts

4 → 176

Calls

4 calls:

Slowest

30.0ms	(* n (* 2 PI))
24.0ms	(pow (* n (* 2 PI)) (- 1/2 (/ k 2)))
16.0ms	(pow (* n (* 2 PI)) (- 1/2 (/ k 2)))
13.0ms	(* n (* 2 PI))

series523.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

225.0ms	(pow (* n (* 2 PI)) (- 1/2 (/ k 2)))
174.0ms	(pow (* n (* 2 PI)) (- 1/2 (/ k 2)))
63.0ms	(* n (* 2 PI))
60.0ms	(* n (* 2 PI))

simplify1.3s

Counts: 188 → 188

prune3.3s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes122.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch5.0ms

end0.0ms

sample7.6s

Algorithm

intervals

Results

3.9s	20530×	body	80	nan
2.9s	11867×	body	80	valid
1.0ms	2×	body	160	nan