Details

Time bar (total: 13.0s)

sample85.0ms

Algorithm
intervals
Results
35.0ms673×body80nan
26.0ms376×body80valid

simplify2.0s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01316
12916
25716
311316
429116
579316
6300916
done500016

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
0.3b
(* (* 2.0 PI) n)
0.3b
(/ 1.0 (sqrt k))
1.4b
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

rewrite41.0ms

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×div-exp pow-prod-down associate-/r* unswap-sqr
5×cbrt-unprod sqr-pow
4×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 frac-2neg associate-*r/ associate-*l/ clear-num
Counts
4 → 149
Calls
4 calls:
17.0ms
(* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
6.0ms
(* (* 2.0 PI) n)
3.0ms
(/ 1.0 (sqrt k))
9.0ms
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

series527.0ms

Counts
4 → 12
Calls
4 calls:
314.0ms
(* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
36.0ms
(* (* 2.0 PI) n)
37.0ms
(/ 1.0 (sqrt k))
140.0ms
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

simplify1.1s

Counts
161 → 161
Iterations

Useful iterations: done (1.1s)

IterNodesCost
03612800
19432635
232302459
done50012447

prune400.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

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))
1.3b
(pow n (/ (- 1.0 k) 2.0))

rewrite31.0ms

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×div-sub associate-/r* distribute-lft-out-- pow-sub difference-of-squares unswap-sqr
5×associate-*l*
4×add-log-exp
3×pow-pow div-inv associate-/l*
2×pow-prod-down
1×cbrt-undiv frac-times frac-2neg associate-*r/ div-exp associate-*l/ clear-num *-commutative cbrt-unprod
Counts
4 → 150
Calls
4 calls:
10.0ms
(* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))
6.0ms
(/ 1.0 (sqrt k))
6.0ms
(pow (* 2.0 PI) (/ (- 1.0 k) 2.0))
4.0ms
(pow n (/ (- 1.0 k) 2.0))

series451.0ms

Counts
4 → 12
Calls
4 calls:
276.0ms
(* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))
43.0ms
(/ 1.0 (sqrt k))
75.0ms
(pow (* 2.0 PI) (/ (- 1.0 k) 2.0))
57.0ms
(pow n (/ (- 1.0 k) 2.0))

simplify782.0ms

Counts
162 → 162
Iterations

Useful iterations: done (777.0ms)

IterNodesCost
03162486
17572260
223232148
done50002142

prune458.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))
0.3b
(/ 1.0 (sqrt k))
0.5b
(pow (* 2.0 PI) (/ (- 1.0 k) 2.0))
1.3b
(pow n (/ (- 1.0 k) 2.0))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
77×add-sqr-sqrt
70×times-frac
64×*-un-lft-identity
52×add-cube-cbrt
38×pow-unpow
30×add-exp-log
23×sqrt-prod
22×associate-*l*
11×prod-exp add-cbrt-cube
8×pow1
7×pow-exp
6×associate-/r* distribute-lft-out-- difference-of-squares unswap-sqr sqr-pow
5×unpow-prod-down div-exp associate-*r*
4×pow-to-exp div-sub div-inv pow-sub add-log-exp
3×pow-pow associate-/l*
2×cbrt-undiv cbrt-unprod
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative
Counts
4 → 161
Calls
4 calls:
15.0ms
(* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))
3.0ms
(/ 1.0 (sqrt k))
5.0ms
(pow (* 2.0 PI) (/ (- 1.0 k) 2.0))
4.0ms
(pow n (/ (- 1.0 k) 2.0))

series454.0ms

Counts
4 → 12
Calls
4 calls:
280.0ms
(* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))
37.0ms
(/ 1.0 (sqrt k))
75.0ms
(pow (* 2.0 PI) (/ (- 1.0 k) 2.0))
62.0ms
(pow n (/ (- 1.0 k) 2.0))

simplify1.1s

Counts
173 → 173
Iterations

Useful iterations: done (1.1s)

IterNodesCost
03252550
18142394
224752288
done50002276

prune487.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* 2.0 PI) n)
0.3b
(/ 1.0 (sqrt (sqrt k)))
0.4b
(/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))
1.4b
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
594×sqrt-prod
591×times-frac
328×add-sqr-sqrt *-un-lft-identity
322×add-cube-cbrt
34×associate-/l*
22×add-exp-log
19×pow-unpow
18×associate-/r*
16×add-cbrt-cube
15×pow1
13×div-inv
6×pow-prod-down prod-exp
4×cbrt-undiv div-exp add-log-exp
3×pow-pow associate-*r* pow-exp cbrt-unprod distribute-lft-out-- difference-of-squares
2×frac-2neg clear-num
1×pow-to-exp unpow-prod-down div-sub associate-*l* *-commutative associate-/l/ pow-sub sqr-pow
Counts
4 → 439
Calls
4 calls:
6.0ms
(* (* 2.0 PI) n)
4.0ms
(/ 1.0 (sqrt (sqrt k)))
17.0ms
(/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))
9.0ms
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

series370.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(* (* 2.0 PI) n)
159.0ms
(/ 1.0 (sqrt (sqrt k)))
38.0ms
(/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))
141.0ms
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

simplify1.2s

Counts
451 → 451
Iterations

Useful iterations: done (1.2s)

IterNodesCost
05588953
113367629
233247054
done50007049

prune681.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

regimes132.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01923
12523
done2523

end0.0ms

sample2.5s

Algorithm
intervals
Results
1.1s20896×body80nan
759.0ms11974×body80valid