Details

sample281.0ms

Algorithm

intervals

Results

155.0ms	681×	body	80	nan
84.0ms	389×	body	80	valid

simplify1.5s

Counts: 1 → 1

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize24.0ms

Local error

Found 3 expressions with local error:

1.2b	(pow (* n (* 2 PI)) (* (- 1 k) 1/2))
0.3b	(* n (* 2 PI))
0.2b	(/ (pow (* n (* 2 PI)) (* (- 1 k) 1/2)) (sqrt k))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

30×	`times-frac`
26×	`add-exp-log`
23×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
18×	`sqrt-prod`
14×	`pow1`
10×	`add-cbrt-cube`
9×	`prod-exp`
8×	`unpow-prod-down` `sqr-pow`
6×	`associate-/r*` `pow-prod-down` `pow-exp`
5×	`div-exp` `associate-/l*`
3×	`pow-pow` `associate-l` `cbrt-unprod` `insert-posit16` `add-log-exp`
2×	`pow-to-exp`
1×	`cbrt-undiv` `pow-unpow` `clear-num` `frac-2neg` `associate-r` `*-commutative` `div-inv`

Counts

3 → 95

Calls

3 calls:

Slowest

16.0ms	(pow (* n (* 2 PI)) (* (- 1 k) 1/2))
16.0ms	(/ (pow (* n (* 2 PI)) (* (- 1 k) 1/2)) (sqrt k))
12.0ms	(* n (* 2 PI))

series590.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

381.0ms	(/ (pow (* n (* 2 PI)) (* (- 1 k) 1/2)) (sqrt k))
170.0ms	(pow (* n (* 2 PI)) (* (- 1 k) 1/2))
39.0ms	(* n (* 2 PI))

simplify1.2s

Counts: 104 → 104

prune1.1s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.1b

localize42.0ms

Local error

Found 3 expressions with local error:

1.2b	(pow (* n (* PI 2)) (/ (- 1 k) 2))
0.3b	(* n (* PI 2))
0.2b	(/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt k))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

48×	`times-frac`
42×	`add-sqr-sqrt` `*-un-lft-identity`
33×	`add-cube-cbrt`
26×	`add-exp-log`
22×	`pow-unpow`
18×	`sqrt-prod`
14×	`pow1`
10×	`add-cbrt-cube`
9×	`prod-exp`
8×	`unpow-prod-down` `sqr-pow`
6×	`associate-/r*` `pow-prod-down` `pow-exp` `difference-of-squares`
5×	`div-exp` `associate-/l*`
3×	`pow-pow` `associate-l` `cbrt-unprod` `insert-posit16` `distribute-lft-out--` `add-log-exp`
2×	`pow-to-exp` `div-sub` `div-inv` `pow-sub`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `associate-r` `*-commutative` `associate-/l/`

Counts

3 → 118

Calls

3 calls:

Slowest

32.0ms	(pow (* n (* PI 2)) (/ (- 1 k) 2))
13.0ms	(* n (* PI 2))
11.0ms	(/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt k))

series538.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

293.0ms	(/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt k))
205.0ms	(pow (* n (* PI 2)) (/ (- 1 k) 2))
39.0ms	(* n (* PI 2))

simplify1.5s

Counts: 127 → 127

prune1.8s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

1.2b	(pow (* (* 2 PI) n) (/ (- 1 k) 2))
0.3b	(* (* 2 PI) n)
0.2b	(/ 1 (sqrt k))
0.2b	(* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

72×	`add-sqr-sqrt` `add-exp-log`
62×	`times-frac`
57×	`*-un-lft-identity`
44×	`add-cube-cbrt`
38×	`prod-exp`
25×	`sqrt-prod`
23×	`associate-l`
22×	`pow-unpow`
17×	`pow1`
16×	`add-cbrt-cube`
15×	`pow-exp`
12×	`div-exp`
10×	`unswap-sqr`
8×	`associate-r`
7×	`sqr-pow`
6×	`rec-exp` `associate-/r*` `1-exp` `pow-prod-down` `difference-of-squares`
5×	`pow-to-exp` `cbrt-unprod`
4×	`insert-posit16` `add-log-exp`
3×	`pow-pow` `div-sub` `div-inv` `pow-flip` `associate-/l*` `distribute-lft-out--` `pow-sub`
2×	`cbrt-undiv` `unpow-prod-down` `*-commutative`
1×	`frac-times` `clear-num` `frac-2neg` `sqrt-pow1` `pow1/2` `associate-l/` `associate-r/` `inv-pow`

Counts

4 → 176

Calls

4 calls:

Slowest

35.0ms	(* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
17.0ms	(* (* 2 PI) n)
15.0ms	(pow (* (* 2 PI) n) (/ (- 1 k) 2))
5.0ms	(/ 1 (sqrt k))

series673.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

374.0ms	(* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
225.0ms	(pow (* (* 2 PI) n) (/ (- 1 k) 2))
46.0ms	(* (* 2 PI) n)
28.0ms	(/ 1 (sqrt k))

simplify1.3s

Counts: 188 → 188

prune2.1s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize49.0ms

Local error

Found 4 expressions with local error:

1.1b	(pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))
1.1b	(pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))
0.3b	(* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))
0.3b	(* (* 2 PI) n)

rewrite131.0ms

Algorithm

rewrite-expression-head

Rules

240×	`times-frac`
173×	`add-sqr-sqrt`
169×	`*-un-lft-identity`
140×	`pow-unpow`
115×	`add-cube-cbrt`
91×	`add-exp-log`
64×	`prod-exp`
36×	`pow-exp` `difference-of-squares`
21×	`pow1`
18×	`distribute-lft-out--`
12×	`pow-to-exp` `div-sub`
11×	`add-cbrt-cube`
10×	`pow-prod-down` `sqr-pow`
8×	`associate-r` `div-inv`
6×	`unpow-prod-down` `pow-pow` `associate-l` `pow-sub`
5×	`swap-sqr`
4×	`cbrt-unprod` `insert-posit16` `add-log-exp` `unswap-sqr`
2×	`*-commutative`
1×	`pow2` `frac-times` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`

Counts

4 → 256

Calls

4 calls:

Slowest

68.0ms	(* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))
28.0ms	(pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))
16.0ms	(pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))
14.0ms	(* (* 2 PI) n)

series732.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

288.0ms	(* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))
205.0ms	(pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))
200.0ms	(pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))
38.0ms	(* (* 2 PI) n)

simplify1.6s

Counts: 268 → 268

prune3.6s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes319.0ms

Accuracy

0% (0.4b remaining)

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

bsearch8.0ms

end0.0ms

sample7.3s

Algorithm

intervals

Results

4.2s	20763×	body	80	nan
2.2s	12036×	body	80	valid
1.0ms	2×	body	160	nan