Details

sample206.0ms

Algorithm

intervals

Results

108.0ms	591×	body	80	nan
66.0ms	371×	body	80	valid

simplify1.1s

Counts: 1 → 1

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.4b

localize43.0ms

Local error

Found 3 expressions with local error:

1.1b	(pow (* n (* 2 PI)) (/ (- 1 k) 2))
0.2b	(* n (* 2 PI))
0.2b	(/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))

rewrite51.0ms

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

24.0ms	(pow (* n (* 2 PI)) (/ (- 1 k) 2))
12.0ms	(* n (* 2 PI))
11.0ms	(/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))

series602.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

354.0ms	(/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))
206.0ms	(pow (* n (* 2 PI)) (/ (- 1 k) 2))
42.0ms	(* n (* 2 PI))

simplify1.5s

Counts: 133 → 133

prune1.6s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize54.0ms

Local error

Found 4 expressions with local error:

1.1b	(pow (* n (* 2 PI)) (/ (- 1 k) 2))
0.2b	(* n (* 2 PI))
0.2b	(/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))
0.2b	(/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

273×	`times-frac`
147×	`add-sqr-sqrt` `*-un-lft-identity`
138×	`add-cube-cbrt`
78×	`sqrt-prod`
72×	`add-exp-log`
40×	`associate-/r*`
32×	`unpow-prod-down` `div-exp` `sqr-pow`
22×	`pow-unpow`
18×	`prod-exp`
16×	`pow1` `add-cbrt-cube`
15×	`pow-exp`
9×	`associate-/l*`
7×	`div-inv`
6×	`rec-exp` `1-exp` `div-sub` `pow-prod-down` `associate-/r/` `pow-sub` `difference-of-squares`
5×	`pow-to-exp`
4×	`expm1-log1p-u` `cbrt-undiv` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow-pow` `associate-l` `cbrt-unprod` `distribute-lft-out--`
2×	`clear-num` `frac-2neg`
1×	`associate-r` `*-commutative` `pow-flip` `inv-pow`

Counts

4 → 303

Calls

4 calls:

Slowest

33.0ms	(/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))
22.0ms	(pow (* n (* 2 PI)) (/ (- 1 k) 2))
13.0ms	(* n (* 2 PI))
10.0ms	(/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))

series1.0s

Counts

4 → 12

Calls

4 calls:

Slowest

426.0ms	(/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))
367.0ms	(/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))
189.0ms	(pow (* n (* 2 PI)) (/ (- 1 k) 2))
47.0ms	(* n (* 2 PI))

simplify1.9s

Counts: 315 → 315

prune3.7s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

1.1b	(pow (* 2 (* n PI)) (/ (- 1 k) 2))
0.3b	(/ 1 (sqrt k))
0.2b	(* n PI)
0.2b	(* (/ 1 (sqrt k)) (pow (* 2 (* n PI)) (/ (- 1 k) 2)))

rewrite105.0ms

Algorithm

rewrite-expression-head

Rules

75×	`add-sqr-sqrt`
69×	`add-exp-log`
62×	`times-frac`
58×	`*-un-lft-identity`
45×	`add-cube-cbrt`
36×	`prod-exp`
25×	`associate-l` `sqrt-prod`
22×	`pow-unpow`
15×	`pow-exp`
14×	`pow1`
13×	`add-cbrt-cube`
12×	`div-exp`
11×	`unswap-sqr`
8×	`associate-r`
7×	`sqr-pow`
6×	`rec-exp` `associate-/r*` `1-exp` `difference-of-squares`
5×	`pow-to-exp`
4×	`expm1-log1p-u` `pow-prod-down` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow-pow` `div-sub` `cbrt-unprod` `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 → 184

Calls

4 calls:

Slowest

59.0ms	(* (/ 1 (sqrt k)) (pow (* 2 (* n PI)) (/ (- 1 k) 2)))
22.0ms	(pow (* 2 (* n PI)) (/ (- 1 k) 2))
9.0ms	(* n PI)
9.0ms	(/ 1 (sqrt k))

series650.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

353.0ms	(* (/ 1 (sqrt k)) (pow (* 2 (* n PI)) (/ (- 1 k) 2)))
226.0ms	(pow (* 2 (* n PI)) (/ (- 1 k) 2))
41.0ms	(/ 1 (sqrt k))
31.0ms	(* n PI)

simplify1.3s

Counts: 196 → 196

prune2.3s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

1.0b	(pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))
1.0b	(pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))
0.2b	(* n (* 2 PI))
0.2b	(* n (* 2 PI))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 222

Calls

4 calls:

Slowest

20.0ms	(pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))
15.0ms	(pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))
13.0ms	(* n (* 2 PI))
12.0ms	(* n (* 2 PI))

series440.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

178.0ms	(pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))
172.0ms	(pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))
55.0ms	(* n (* 2 PI))
35.0ms	(* n (* 2 PI))

simplify1.3s

Counts: 234 → 234

prune3.3s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes96.0ms

Accuracy

0% (0.4b remaining)

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

bsearch3.0ms

end0.0ms

sample7.5s

Algorithm

intervals

Results

3.6s	20564×	body	80	nan
2.7s	11848×	body	80	valid
1.0ms	3×	body	160	nan