Details

Time bar (total: 50.1s)

sample180.0ms

Algorithm
intervals
Results
78.0ms638×body80nan
44.0ms386×body80valid

simplify5.8s

Counts
1 → 1
Iterations
IterNodes
done5001
62693
5806
4285
3114
258
129
013

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize49.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
0.2b
(* (* 2.0 PI) n)
0.3b
(/ 1.0 (sqrt k))
0.9b
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

rewrite166.0ms

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×insert-posit16 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 → 153
Calls
4 calls:
71.0ms
(* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
42.0ms
(* (* 2.0 PI) n)
8.0ms
(/ 1.0 (sqrt k))
28.0ms
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

series1.2s

Counts
4 → 12
Calls
4 calls:
781.0ms
(* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
78.0ms
(* (* 2.0 PI) n)
62.0ms
(/ 1.0 (sqrt k))
271.0ms
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

simplify5.9s

Counts
165 → 165
Iterations
IterNodes
done5001
23348
1978
0357

prune2.1s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize91.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* 2.0 PI) n)
0.3b
(/ 1.0 (sqrt k))
0.9b
(pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))
0.9b
(pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))

rewrite167.0ms

Algorithm
rewrite-expression-head
Rules
222×times-frac
150×add-sqr-sqrt *-un-lft-identity
122×pow-unpow
114×add-cube-cbrt
23×add-exp-log
21×pow1
18×distribute-lft-out-- difference-of-squares
12×sqrt-prod
11×add-cbrt-cube
9×pow-prod-down prod-exp div-inv
6×associate-/r* pow-pow pow-exp
4×div-sub insert-posit16 add-log-exp
3×associate-*r* cbrt-unprod associate-/l*
2×pow-to-exp unpow-prod-down pow-sub sqr-pow
1×cbrt-undiv clear-num frac-2neg div-exp associate-*l* *-commutative
Counts
4 → 217
Calls
4 calls:
30.0ms
(* (* 2.0 PI) n)
16.0ms
(/ 1.0 (sqrt k))
35.0ms
(pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))
54.0ms
(pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))

series630.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(* (* 2.0 PI) n)
62.0ms
(/ 1.0 (sqrt k))
262.0ms
(pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))
259.0ms
(pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))

simplify4.8s

Counts
229 → 229
Iterations
IterNodes
done5000
22586
1940
0331

prune3.3s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))
0.3b
(/ 1.0 (sqrt k))
0.5b
(pow (* 2.0 PI) (/ (- 1.0 k) 2.0))
0.8b
(pow n (/ (- 1.0 k) 2.0))

rewrite100.0ms

Algorithm
rewrite-expression-head
Rules
60×add-sqr-sqrt
53×*-un-lft-identity
48×times-frac
41×add-cube-cbrt
38×pow-unpow
30×add-exp-log
16×prod-exp
13×pow-exp
12×sqrt-prod
10×unpow-prod-down
9×pow-to-exp sqr-pow
8×pow1 add-cbrt-cube
7×associate-*r*
6×associate-/r* div-sub distribute-lft-out-- pow-sub difference-of-squares unswap-sqr
5×associate-*l*
4×insert-posit16 add-log-exp
3×pow-pow div-inv associate-/l*
2×pow-prod-down
1×frac-times cbrt-undiv clear-num frac-2neg div-exp associate-*l/ associate-*r/ *-commutative cbrt-unprod
Counts
4 → 154
Calls
4 calls:
32.0ms
(* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))
11.0ms
(/ 1.0 (sqrt k))
27.0ms
(pow (* 2.0 PI) (/ (- 1.0 k) 2.0))
11.0ms
(pow n (/ (- 1.0 k) 2.0))

series905.0ms

Counts
4 → 12
Calls
4 calls:
605.0ms
(* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))
63.0ms
(/ 1.0 (sqrt k))
102.0ms
(pow (* 2.0 PI) (/ (- 1.0 k) 2.0))
135.0ms
(pow n (/ (- 1.0 k) 2.0))

simplify5.2s

Counts
166 → 166
Iterations
IterNodes
done5001
22551
1837
0315

prune2.0s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize75.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))
0.3b
(/ 1.0 (sqrt k))
0.5b
(pow PI (/ (- 1.0 k) 2.0))
0.8b
(pow n (/ (- 1.0 k) 2.0))

rewrite151.0ms

Algorithm
rewrite-expression-head
Rules
67×add-exp-log
57×prod-exp
53×add-sqr-sqrt *-un-lft-identity
48×times-frac
41×add-cube-cbrt
38×pow-unpow
30×pow-to-exp pow-exp
14×div-sub pow-sub
12×sqrt-prod
11×add-cbrt-cube
9×unpow-prod-down
7×associate-*l*
6×pow1 associate-/r* distribute-lft-out-- difference-of-squares
5×frac-times associate-*r/
4×insert-posit16 add-log-exp
3×associate-*l/ cbrt-unprod div-inv associate-/l* sqr-pow
2×pow-pow pow-prod-down
1×cbrt-undiv clear-num frac-2neg div-exp associate-*r* *-commutative
Counts
4 → 167
Calls
4 calls:
103.0ms
(* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))
9.0ms
(/ 1.0 (sqrt k))
11.0ms
(pow PI (/ (- 1.0 k) 2.0))
13.0ms
(pow n (/ (- 1.0 k) 2.0))

series1.2s

Counts
4 → 12
Calls
4 calls:
966.0ms
(* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))
58.0ms
(/ 1.0 (sqrt k))
79.0ms
(pow PI (/ (- 1.0 k) 2.0))
132.0ms
(pow n (/ (- 1.0 k) 2.0))

simplify6.5s

Counts
179 → 179
Iterations
IterNodes
done5000
23162
1980
0363

prune1.8s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

regimes1.2s

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify12.0ms

Iterations
IterNodes
done17
117
014

end0.0ms

sample6.4s

Algorithm
intervals
Results
3.4s20923×body80nan
1.7s11902×body80valid