Details

sample163.0ms

Algorithm

intervals

Results

64.0ms	365×	body	80	valid
54.0ms	760×	body	80	nan

simplify2.9s

Counts

1 → 1

Iterations

Iter	Nodes
done	5003
6	2792
5	816
4	285
3	114
2	58
1	29
0	13

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize46.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
0.3b	(/ 1.0 (sqrt k))
0.3b	(* (* 2.0 PI) n)
0.9b	(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

rewrite109.0ms

Algorithm

rewrite-expression-head

Rules

62×	`add-sqr-sqrt`
55×	`times-frac`
49×	`*-un-lft-identity`
46×	`add-exp-log`
43×	`add-cube-cbrt`
23×	`associate-l` `sqrt-prod`
22×	`prod-exp`
19×	`pow-unpow`
16×	`add-cbrt-cube`
15×	`pow1`
9×	`pow-exp`
8×	`associate-r`
6×	`associate-/r*` `div-exp` `pow-prod-down` `unswap-sqr`
5×	`cbrt-unprod` `sqr-pow`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow-to-exp` `pow-pow` `div-sub` `div-inv` `associate-/l*` `distribute-lft-out--` `pow-sub` `difference-of-squares`
2×	`cbrt-undiv` `unpow-prod-down` `*-commutative`
1×	`frac-times` `clear-num` `frac-2neg` `associate-l/` `associate-r/`

Counts

4 → 157

Calls

4 calls:

43.0ms	(* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
5.0ms	(/ 1.0 (sqrt k))
23.0ms	(* (* 2.0 PI) n)
33.0ms	(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

series742.0ms

Counts

4 → 12

Calls

4 calls:

457.0ms	(* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
46.0ms	(/ 1.0 (sqrt k))
49.0ms	(* (* 2.0 PI) n)
191.0ms	(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

simplify3.9s

Counts

169 → 169

Iterations

Iter	Nodes
done	5004
2	3445
1	1004
0	361

prune1.1s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k)))
0.3b	(/ 1.0 (sqrt k))
0.3b	(* (* 2.0 PI) n)
0.9b	(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

62×	`add-sqr-sqrt`
55×	`times-frac`
49×	`*-un-lft-identity`
46×	`add-exp-log`
43×	`add-cube-cbrt`
25×	`associate-r`
23×	`sqrt-prod`
22×	`prod-exp`
19×	`pow-unpow`
16×	`add-cbrt-cube`
15×	`pow1`
9×	`pow-exp`
6×	`associate-/r` `div-exp` `associate-l*` `pow-prod-down` `unswap-sqr`
5×	`cbrt-unprod` `sqr-pow`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow-to-exp` `pow-pow` `div-sub` `div-inv` `associate-/l*` `distribute-lft-out--` `pow-sub` `difference-of-squares`
2×	`cbrt-undiv` `unpow-prod-down` `*-commutative`
1×	`frac-times` `clear-num` `frac-2neg` `associate-l/` `associate-r/`

Counts

4 → 157

Calls

4 calls:

34.0ms	(* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k)))
5.0ms	(/ 1.0 (sqrt k))
18.0ms	(* (* 2.0 PI) n)
24.0ms	(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

series719.0ms

Counts

4 → 12

Calls

4 calls:

404.0ms	(* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k)))
54.0ms	(/ 1.0 (sqrt k))
48.0ms	(* (* 2.0 PI) n)
212.0ms	(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

simplify3.5s

Counts

169 → 169

Iterations

Iter	Nodes
done	5006
2	3248
1	952
0	343

prune893.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k)))
0.3b	(/ 1.0 (sqrt k))
0.3b	(* n PI)
0.9b	(pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0))

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

65×	`add-sqr-sqrt`
55×	`times-frac`
50×	`*-un-lft-identity`
44×	`add-cube-cbrt`
43×	`add-exp-log`
25×	`associate-r`
23×	`sqrt-prod`
20×	`prod-exp`
19×	`pow-unpow`
13×	`add-cbrt-cube`
12×	`pow1`
9×	`pow-exp`
8×	`associate-l`
7×	`unswap-sqr`
6×	`associate-/r*` `div-exp`
5×	`sqr-pow`
4×	`expm1-log1p-u` `pow-prod-down` `log1p-expm1-u` `add-log-exp`
3×	`pow-to-exp` `pow-pow` `div-sub` `cbrt-unprod` `div-inv` `associate-/l*` `distribute-lft-out--` `pow-sub` `difference-of-squares`
2×	`cbrt-undiv` `unpow-prod-down` `*-commutative`
1×	`frac-times` `clear-num` `frac-2neg` `associate-l/` `associate-r/`

Counts

4 → 157

Calls

4 calls:

28.0ms	(* (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k)))
10.0ms	(/ 1.0 (sqrt k))
10.0ms	(* n PI)
29.0ms	(pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0))

series714.0ms

Counts

4 → 12

Calls

4 calls:

417.0ms	(* (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k)))
59.0ms	(/ 1.0 (sqrt k))
26.0ms	(* n PI)
212.0ms	(pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0))

simplify3.2s

Counts

169 → 169

Iterations

Iter	Nodes
done	5000
2	2960
1	925
0	342

prune1.1s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow (* n PI) (/ (- 1.0 k) 2.0)))
0.3b	(/ 1.0 (sqrt k))
0.3b	(* n PI)
0.8b	(pow (* n PI) (/ (- 1.0 k) 2.0))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

48×	`add-sqr-sqrt`
39×	`*-un-lft-identity`
33×	`times-frac` `add-cube-cbrt`
31×	`add-exp-log`
19×	`pow-unpow`
17×	`prod-exp`
12×	`pow-exp` `sqrt-prod`
10×	`add-cbrt-cube` `associate-l`
9×	`pow1`
8×	`pow-to-exp` `associate-r` `sqr-pow`
7×	`unpow-prod-down` `unswap-sqr`
6×	`associate-/r*`
5×	`div-sub` `pow-sub`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow-prod-down` `associate-/l*` `distribute-lft-out--` `difference-of-squares`
2×	`pow-pow` `*-commutative` `cbrt-unprod` `div-inv`
1×	`frac-times` `cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `associate-l/` `associate-r/`

Counts

4 → 142

Calls

4 calls:

37.0ms	(* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow (* n PI) (/ (- 1.0 k) 2.0)))
7.0ms	(/ 1.0 (sqrt k))
9.0ms	(* n PI)
9.0ms	(pow (* n PI) (/ (- 1.0 k) 2.0))

series640.0ms

Counts

4 → 12

Calls

4 calls:

418.0ms	(* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow (* n PI) (/ (- 1.0 k) 2.0)))
62.0ms	(/ 1.0 (sqrt k))
23.0ms	(* n PI)
137.0ms	(pow (* n PI) (/ (- 1.0 k) 2.0))

simplify3.4s

Counts

154 → 154

Iterations

Iter	Nodes
done	5001
2	2913
1	912
0	340

prune1.1s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

regimes343.0ms

Accuracy

0% (0.5b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	18
1	18
0	15

end0.0ms

sample6.2s

Algorithm

intervals

Results

3.3s	20608×	body	80	nan
1.6s	11771×	body	80	valid