Details

Time bar (total: 14.6s)

sample93.0ms

Algorithm
intervals
Results
38.0ms715×body80nan
23.0ms387×body80valid

simplify2.5s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01316
12916
25916
311916
431316
584316
6322116
done500116

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize17.0ms

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

rewrite87.0ms

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:
39.0ms
(* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
6.0ms
(/ 1.0 (sqrt k))
17.0ms
(* (* 2.0 PI) n)
20.0ms
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

series522.0ms

Counts
4 → 12
Calls
4 calls:
315.0ms
(* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
36.0ms
(/ 1.0 (sqrt k))
31.0ms
(* (* 2.0 PI) n)
139.0ms
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

simplify1.2s

Counts
161 → 161
Iterations

Useful iterations: 2 (492.0ms)

IterNodesCost
03612800
19312635
230472471
done50002471

prune425.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite99.0ms

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:
7.0ms
(/ 1.0 (sqrt (sqrt k)))
16.0ms
(* (* 2.0 PI) n)
24.0ms
(/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))
22.0ms
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

series371.0ms

Counts
4 → 12
Calls
4 calls:
163.0ms
(/ 1.0 (sqrt (sqrt k)))
32.0ms
(* (* 2.0 PI) n)
39.0ms
(/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))
137.0ms
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

simplify1.4s

Counts
451 → 451
Iterations

Useful iterations: done (1.4s)

IterNodesCost
05588953
113207629
230567058
done50016884

prune774.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
51×times-frac
50×add-sqr-sqrt *-un-lft-identity
44×add-cube-cbrt
24×sqrt-prod
19×add-exp-log pow-unpow
15×pow1
13×add-cbrt-cube
12×associate-/r*
6×pow-prod-down prod-exp associate-/l*
4×add-log-exp
3×pow-pow associate-*r* pow-exp cbrt-unprod div-inv distribute-lft-out-- difference-of-squares
2×cbrt-undiv frac-2neg div-exp clear-num
1×pow-to-exp unpow-prod-down div-sub associate-*l* *-commutative pow-sub sqr-pow
Counts
4 → 132
Calls
4 calls:
9.0ms
(/ 1.0 (sqrt k))
6.0ms
(/ 1.0 (sqrt k))
17.0ms
(* (* 2.0 PI) n)
20.0ms
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

series248.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(/ 1.0 (sqrt k))
43.0ms
(/ 1.0 (sqrt k))
32.0ms
(* (* 2.0 PI) n)
137.0ms
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

simplify809.0ms

Counts
144 → 144
Iterations

Useful iterations: done (805.0ms)

IterNodesCost
02341642
15551507
217071401
done50001380

prune459.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

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

rewrite99.0ms

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:
7.0ms
(/ 1.0 (sqrt (sqrt k)))
19.0ms
(* (* 2.0 PI) n)
24.0ms
(/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))
20.0ms
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

series393.0ms

Counts
4 → 12
Calls
4 calls:
171.0ms
(/ 1.0 (sqrt (sqrt k)))
39.0ms
(* (* 2.0 PI) n)
37.0ms
(/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))
146.0ms
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

simplify1.4s

Counts
451 → 451
Iterations

Useful iterations: done (1.4s)

IterNodesCost
05588953
113207629
230567058
done50016884

prune914.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0b

regimes151.0ms

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
01928
12328
done2328

end0.0ms

sample2.5s

Algorithm
intervals
Results
1.0s21119×body80nan
706.0ms11933×body80valid
0.0ms1×body160nan