Details

sample261.0ms

Algorithm

intervals

Results

139.0ms	665×	body	80	nan
80.0ms	407×	body	80	valid

simplify1.4s

Counts: 1 → 1

prune25.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize41.0ms

Local error

Found 3 expressions with local error:

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

rewrite45.0ms

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

19.0ms	(* n (* 2 PI))
13.0ms	(/ (pow (* n (* 2 PI)) (* (- 1 k) 1/2)) (sqrt k))
12.0ms	(pow (* n (* 2 PI)) (* (- 1 k) 1/2))

series520.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

293.0ms	(/ (pow (* n (* 2 PI)) (* (- 1 k) 1/2)) (sqrt k))
173.0ms	(pow (* n (* 2 PI)) (* (- 1 k) 1/2))
54.0ms	(* n (* 2 PI))

simplify1.4s

Counts: 104 → 104

prune1.2s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

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

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

26×	`pow1` `add-exp-log`
14×	`add-cbrt-cube`
12×	`pow-prod-down` `prod-exp`
6×	`add-sqr-sqrt` `pow-pow` `-un-lft-identity` `associate-l*` `pow-exp` `add-cube-cbrt` `cbrt-unprod`
4×	`insert-posit16` `add-log-exp`
2×	`pow-to-exp` `pow-unpow` `unpow-prod-down` `associate-r` `*-commutative` `sqr-pow`

Counts

4 → 74

Calls

4 calls:

Slowest

27.0ms	(pow (* n (* 2 PI)) (* (- 1 k) 1/2))
25.0ms	(pow (* n (* 2 PI)) (* (- 1 k) 1/2))
14.0ms	(* n (* 2 PI))
12.0ms	(* n (* 2 PI))

series508.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

200.0ms	(pow (* n (* 2 PI)) (* (- 1 k) 1/2))
198.0ms	(pow (* n (* 2 PI)) (* (- 1 k) 1/2))
57.0ms	(* n (* 2 PI))
52.0ms	(* n (* 2 PI))

simplify2.2s

Counts: 86 → 86

prune1.3s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize56.0ms

Local error

Found 4 expressions with local error:

0.8b	(pow n (* (- 1 k) 1/2))
0.5b	(pow (* 2 PI) (* (- 1 k) 1/2))
0.2b	(/ (pow (* 2 PI) (* (- 1 k) 1/2)) (sqrt k))
0.2b	(* (pow n (* (- 1 k) 1/2)) (/ (pow (* 2 PI) (* (- 1 k) 1/2)) (sqrt k)))

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

74×	`add-sqr-sqrt`
72×	`times-frac`
53×	`add-exp-log`
43×	`*-un-lft-identity` `add-cube-cbrt`
39×	`sqrt-prod`
34×	`associate-r`
27×	`sqr-pow`
25×	`unpow-prod-down`
20×	`prod-exp`
16×	`div-exp` `pow-exp`
15×	`unswap-sqr`
11×	`pow-to-exp` `add-cbrt-cube`
8×	`pow1`
7×	`associate-l`
6×	`associate-/r*`
5×	`associate-/l*`
4×	`insert-posit16` `add-log-exp`
3×	`pow-pow`
2×	`cbrt-undiv` `pow-unpow` `cbrt-unprod` `div-inv`
1×	`clear-num` `frac-2neg` `pow-prod-down` `associate-r/` `-commutative`

Counts

4 → 172

Calls

4 calls:

Slowest

35.0ms	(* (pow n (* (- 1 k) 1/2)) (/ (pow (* 2 PI) (* (- 1 k) 1/2)) (sqrt k)))
17.0ms	(/ (pow (* 2 PI) (* (- 1 k) 1/2)) (sqrt k))
11.0ms	(pow (* 2 PI) (* (- 1 k) 1/2))
7.0ms	(pow n (* (- 1 k) 1/2))

series906.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

451.0ms	(* (pow n (* (- 1 k) 1/2)) (/ (pow (* 2 PI) (* (- 1 k) 1/2)) (sqrt k)))
245.0ms	(/ (pow (* 2 PI) (* (- 1 k) 1/2)) (sqrt k))
106.0ms	(pow n (* (- 1 k) 1/2))
103.0ms	(pow (* 2 PI) (* (- 1 k) 1/2))

simplify2.3s

Counts: 184 → 184

prune2.5s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize57.0ms

Local error

Found 4 expressions with local error:

0.8b	(pow n (* (- 1 k) 1/2))
0.5b	(pow PI (* (- 1 k) 1/2))
0.2b	(/ (* (pow 2 (* (- 1 k) 1/2)) (pow PI (* (- 1 k) 1/2))) (sqrt k))
0.2b	(* (pow n (* (- 1 k) 1/2)) (/ (* (pow 2 (* (- 1 k) 1/2)) (pow PI (* (- 1 k) 1/2))) (sqrt k)))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

123×	`add-exp-log`
69×	`prod-exp`
40×	`div-exp`
37×	`pow-to-exp` `pow-exp`
20×	`add-sqr-sqrt`
18×	`add-cbrt-cube`
15×	`*-un-lft-identity` `add-cube-cbrt`
12×	`times-frac`
10×	`unpow-prod-down` `associate-r`
9×	`sqrt-prod`
7×	`associate-l`
6×	`pow1` `associate-/r*`
5×	`cbrt-unprod`
4×	`cbrt-undiv` `insert-posit16` `add-log-exp` `sqr-pow`
3×	`unswap-sqr`
2×	`pow-unpow` `pow-pow` `div-inv`
1×	`clear-num` `frac-2neg` `associate-r/` `-commutative` `associate-/l*`

Counts

4 → 134

Calls

4 calls:

Slowest

27.0ms	(* (pow n (* (- 1 k) 1/2)) (/ (* (pow 2 (* (- 1 k) 1/2)) (pow PI (* (- 1 k) 1/2))) (sqrt k)))
16.0ms	(/ (* (pow 2 (* (- 1 k) 1/2)) (pow PI (* (- 1 k) 1/2))) (sqrt k))
3.0ms	(pow n (* (- 1 k) 1/2))
3.0ms	(pow PI (* (- 1 k) 1/2))

series1.5s

Counts

4 → 12

Calls

4 calls:

Slowest

667.0ms	(/ (* (pow 2 (* (- 1 k) 1/2)) (pow PI (* (- 1 k) 1/2))) (sqrt k))
662.0ms	(* (pow n (* (- 1 k) 1/2)) (/ (* (pow 2 (* (- 1 k) 1/2)) (pow PI (* (- 1 k) 1/2))) (sqrt k)))
85.0ms	(pow n (* (- 1 k) 1/2))
70.0ms	(pow PI (* (- 1 k) 1/2))

simplify3.3s

Counts: 146 → 146

prune2.1s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes148.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch8.0ms

end0.0ms

sample7.8s

Algorithm

intervals

Results

4.1s	20530×	body	80	nan
2.7s	11867×	body	80	valid
1.0ms	2×	body	160	nan