Details

Time bar (total: 7.7s)

sample82.0ms

Algorithm
intervals
Results
35.0ms733×body80nan
22.0ms385×body80valid

simplify38.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0298
1598
21198
33258
410448
550018

prune3.0ms

Filtered
1 candidates to 0 candidates (0.0%)
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)))
0.3b
(* (* 2.0 PI) n)
0.3b
(/ 1.0 (sqrt k))
1.0b
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

rewrite40.0ms

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×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 frac-2neg associate-*r/ associate-*l/ clear-num
Counts
4 → 157
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))

series547.0ms

Counts
4 → 12
Calls
4 calls:
324.0ms
(* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
38.0ms
(* (* 2.0 PI) n)
38.0ms
(/ 1.0 (sqrt k))
147.0ms
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

simplify103.0ms

Algorithm
egg-herbie
Counts
169 → 169
Iterations

Useful iterations: 2 (88.0ms)

IterNodesCost
09811502
140211398
250031383

prune665.0ms

Filtered
169 candidates to 119 candidates (70.4%)
Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ 1.0 (sqrt (sqrt k)))
0.3b
(* (* 2.0 PI) n)
0.4b
(/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))
1.0b
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

rewrite66.0ms

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 expm1-log1p-u div-exp log1p-expm1-u 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 → 447
Calls
4 calls:
4.0ms
(/ 1.0 (sqrt (sqrt k)))
9.0ms
(* (* 2.0 PI) n)
16.0ms
(/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))
9.0ms
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

series379.0ms

Counts
4 → 12
Calls
4 calls:
165.0ms
(/ 1.0 (sqrt (sqrt k)))
34.0ms
(* (* 2.0 PI) n)
38.0ms
(/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))
142.0ms
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

simplify73.0ms

Algorithm
egg-herbie
Counts
459 → 459
Iterations

Useful iterations: 1 (30.0ms)

IterNodesCost
013555833
150015050

prune783.0ms

Filtered
459 candidates to 179 candidates (39.0%)
Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* 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))

rewrite45.0ms

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×pow-pow pow-exp associate-/r*
4×expm1-log1p-u div-sub log1p-expm1-u add-log-exp
3×associate-*r* cbrt-unprod associate-/l*
2×pow-to-exp unpow-prod-down pow-sub sqr-pow
1×cbrt-undiv frac-2neg div-exp associate-*l* clear-num *-commutative
Counts
4 → 221
Calls
4 calls:
6.0ms
(* (* 2.0 PI) n)
3.0ms
(/ 1.0 (sqrt k))
13.0ms
(pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))
13.0ms
(pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))

series351.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(* (* 2.0 PI) n)
38.0ms
(/ 1.0 (sqrt k))
140.0ms
(pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))
142.0ms
(pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))

simplify94.0ms

Algorithm
egg-herbie
Counts
233 → 233
Iterations

Useful iterations: 2 (70.0ms)

IterNodesCost
08741888
134321810
250011792

prune772.0ms

Filtered
233 candidates to 168 candidates (72.1%)
Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt k)
0.6b
(cbrt k)
0.6b
(cbrt k)
1.0b
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt *-un-lft-identity
19×pow-unpow
16×add-cube-cbrt
15×times-frac
10×pow1 add-exp-log
9×cbrt-prod
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×pow-pow pow1/3 pow-prod-down pow-exp prod-exp distribute-lft-out-- difference-of-squares
1×pow-to-exp unpow-prod-down div-sub div-inv pow-sub sqr-pow
Counts
4 → 77
Calls
4 calls:
0.0ms
(cbrt k)
0.0ms
(cbrt k)
0.0ms
(cbrt k)
9.0ms
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

series672.0ms

Counts
4 → 12
Calls
4 calls:
180.0ms
(cbrt k)
172.0ms
(cbrt k)
176.0ms
(cbrt k)
144.0ms
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

simplify43.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0364467
11244442
25001412

prune425.0ms

Filtered
89 candidates to 71 candidates (79.8%)
Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes109.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02016
12016

end0.0ms

sample2.3s

Algorithm
intervals
Results
1.0s20919×body80nan
690.0ms12082×body80valid
0.0ms3×body160nan