Details

sample263.0ms

Algorithm

intervals

Results

119.0ms	670×	body	80	nan
103.0ms	381×	body	80	valid

simplify1.4s

Counts: 1 → 1

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize49.0ms

Local error

Found 3 expressions with local error:

0.9b	(pow (* n (* 2 PI)) (/ (- 1 k) 2))
0.3b	(* n (* 2 PI))
0.2b	(/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))

rewrite49.0ms

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

24.0ms	(pow (* n (* 2 PI)) (/ (- 1 k) 2))
12.0ms	(* n (* 2 PI))
10.0ms	(/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))

series565.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

314.0ms	(/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))
194.0ms	(pow (* n (* 2 PI)) (/ (- 1 k) 2))
57.0ms	(* n (* 2 PI))

simplify1.4s

Counts: 127 → 127

prune1.7s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

localize71.0ms

Local error

Found 4 expressions with local error:

0.9b	(pow (* (* 2 PI) n) (/ (- 1 k) 2))
0.3b	(/ 1 (sqrt k))
0.3b	(* (* 2 PI) n)
0.2b	(* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))

rewrite87.0ms

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

38.0ms	(* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
28.0ms	(pow (* (* 2 PI) n) (/ (- 1 k) 2))
13.0ms	(* (* 2 PI) n)
5.0ms	(/ 1 (sqrt k))

series730.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

398.0ms	(* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
211.0ms	(pow (* (* 2 PI) n) (/ (- 1 k) 2))
64.0ms	(* (* 2 PI) n)
57.0ms	(/ 1 (sqrt k))

simplify1.5s

Counts: 188 → 188

prune2.5s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize77.0ms

Local error

Found 4 expressions with local error:

0.9b	(pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))
0.9b	(pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))
0.3b	(* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))
0.3b	(* n (* 2 PI))

rewrite128.0ms

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-l` `div-inv`
6×	`unpow-prod-down` `pow-pow` `associate-r` `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

52.0ms	(* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))
29.0ms	(pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))
29.0ms	(pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))
12.0ms	(* n (* 2 PI))

series712.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

273.0ms	(* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))
200.0ms	(pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))
184.0ms	(pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))
55.0ms	(* n (* 2 PI))

simplify1.8s

Counts: 268 → 268

prune4.1s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize80.0ms

Local error

Found 4 expressions with local error:

0.9b	(pow (* (* 2 PI) n) (/ (- 1 k) 2))
0.3b	(/ 1 (sqrt k))
0.3b	(/ 1 (sqrt k))
0.3b	(* (* 2 PI) n)

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

54×	`add-sqr-sqrt` `*-un-lft-identity` `times-frac`
45×	`add-cube-cbrt`
24×	`sqrt-prod`
23×	`add-exp-log`
22×	`pow-unpow`
19×	`pow1`
13×	`add-cbrt-cube`
12×	`associate-/r*`
6×	`pow-prod-down` `prod-exp` `pow-flip` `associate-/l*` `difference-of-squares`
4×	`div-exp` `insert-posit16` `add-log-exp`
3×	`pow-pow` `associate-r` `pow-exp` `cbrt-unprod` `div-inv` `distribute-lft-out--`
2×	`cbrt-undiv` `rec-exp` `clear-num` `frac-2neg` `sqrt-pow1` `pow1/2` `1-exp` `inv-pow`
1×	`pow-to-exp` `unpow-prod-down` `div-sub` `associate-l` `*-commutative` `pow-sub` `sqr-pow`

Counts

4 → 151

Calls

4 calls:

Slowest

29.0ms	(pow (* (* 2 PI) n) (/ (- 1 k) 2))
16.0ms	(* (* 2 PI) n)
5.0ms	(/ 1 (sqrt k))
5.0ms	(/ 1 (sqrt k))

series360.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

194.0ms	(pow (* (* 2 PI) n) (/ (- 1 k) 2))
63.0ms	(* (* 2 PI) n)
51.0ms	(/ 1 (sqrt k))
51.0ms	(/ 1 (sqrt k))

simplify932.0ms

Counts: 163 → 163

prune2.7s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes334.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch3.0ms

end0.0ms

sample7.5s

Algorithm

intervals

Results

4.1s	21076×	body	80	nan
2.4s	11958×	body	80	valid
1.0ms	4×	body	160	nan