Details

sample238.0ms

Algorithm

intervals

Results

136.0ms	670×	body	80	nan
67.0ms	381×	body	80	valid

simplify1.3s

Counts: 1 → 1

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize30.0ms

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×	`expm1-log1p-u` `pow-pow` `associate-l` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `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 → 124

Calls

3 calls:

Slowest

20.0ms	(* n (* 2 PI))
14.0ms	(pow (* n (* 2 PI)) (/ (- 1 k) 2))
13.0ms	(/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))

series670.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

406.0ms	(/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))
201.0ms	(pow (* n (* 2 PI)) (/ (- 1 k) 2))
63.0ms	(* n (* 2 PI))

simplify1.7s

Counts: 133 → 133

prune1.9s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

localize64.0ms

Local error

Found 4 expressions with local error:

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

rewrite80.0ms

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-r`
22×	`pow-unpow`
17×	`pow1`
16×	`add-cbrt-cube`
15×	`pow-exp`
12×	`div-exp`
10×	`unswap-sqr`
8×	`associate-l`
7×	`sqr-pow`
6×	`rec-exp` `associate-/r*` `1-exp` `pow-prod-down` `difference-of-squares`
5×	`pow-to-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `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/` `un-div-inv` `inv-pow`

Counts

4 → 185

Calls

4 calls:

Slowest

42.0ms	(* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (sqrt k)))
16.0ms	(* n (* 2 PI))
14.0ms	(pow (* n (* 2 PI)) (/ (- 1 k) 2))
5.0ms	(/ 1 (sqrt k))

series554.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

304.0ms	(* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (sqrt k)))
173.0ms	(pow (* n (* 2 PI)) (/ (- 1 k) 2))
42.0ms	(* n (* 2 PI))
35.0ms	(/ 1 (sqrt k))

simplify2.0s

Counts: 197 → 197

prune2.7s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize61.0ms

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))

rewrite167.0ms

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×	`expm1-log1p-u` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`*-commutative`
1×	`pow2` `frac-times` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`

Counts

4 → 264

Calls

4 calls:

Slowest

79.0ms	(* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))
30.0ms	(pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))
29.0ms	(pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))
22.0ms	(* n (* 2 PI))

series626.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

246.0ms	(* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))
191.0ms	(pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))
148.0ms	(pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))
41.0ms	(* n (* 2 PI))

simplify1.7s

Counts: 276 → 276

prune4.5s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize41.0ms

Local error

Found 4 expressions with local error:

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

rewrite85.0ms

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×	`expm1-log1p-u` `div-exp` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow-pow` `associate-l` `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-r` `*-commutative` `pow-sub` `sqr-pow`

Counts

4 → 159

Calls

4 calls:

Slowest

27.0ms	(pow (* n (* 2 PI)) (/ (- 1 k) 2))
27.0ms	(* n (* 2 PI))
17.0ms	(/ 1 (sqrt k))
10.0ms	(/ 1 (sqrt k))

series348.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

192.0ms	(pow (* n (* 2 PI)) (/ (- 1 k) 2))
56.0ms	(/ 1 (sqrt k))
52.0ms	(* n (* 2 PI))
48.0ms	(/ 1 (sqrt k))

simplify863.0ms

Counts: 171 → 171

prune2.7s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes181.0ms

Accuracy

0% (0.3b remaining)

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

bsearch6.0ms

end0.0ms

sample7.9s

Algorithm

intervals

Results

4.1s	21076×	body	80	nan
2.6s	11958×	body	80	valid
1.0ms	4×	body	160	nan