Details

Time bar (total: 10.8s)

sample170.0ms

Algorithm
intervals
Results
61.0ms789×body80nan
31.0ms333×body80valid
13.0ms21×body1280nan
11.0ms25×body640nan
9.0ms65×body80overflowed
3.0ms11×body320nan
1.0ms3×body160nan

simplify35.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0298
1598
21198
33258
410348
550018

prune4.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.4b

Counts
2 → 1

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite33.0ms

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:
9.0ms
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))
4.0ms
(* (* 2.0 PI) n)
4.0ms
(/ 1.0 (sqrt k))
11.0ms
(* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))

series87.0ms

Counts
4 → 12
Calls
4 calls:
15.0ms
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))
3.0ms
(* (* 2.0 PI) n)
7.0ms
(/ 1.0 (sqrt k))
61.0ms
(* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))

simplify106.0ms

Algorithm
egg-herbie
Counts
161 → 161
Iterations

Useful iterations: 2 (88.0ms)

IterNodesCost
09531493
142341364
250011351

prune977.0ms

Filtered
161 candidates to 107 candidates (33.5%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New1538161
Fresh000
Picked101
Done000
Total1548162

Merged error: 0.0b

Counts
162 → 8

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
176×add-exp-log
105×prod-exp
39×pow-exp
36×div-exp
26×add-cbrt-cube
20×pow1
13×add-sqr-sqrt pow-to-exp add-cube-cbrt pow-unpow *-un-lft-identity
10×times-frac cbrt-unprod
9×pow-prod-down
6×associate-*r*
4×cbrt-undiv add-log-exp
3×pow-pow
2×associate-*l* *-commutative div-inv
1×unpow-prod-down frac-2neg clear-num associate-/r* associate-/l* sqr-pow
Counts
4 → 118
Calls
4 calls:
5.0ms
(* (* 2.0 PI) n)
5.0ms
(* (* 2.0 PI) n)
10.0ms
(/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))
6.0ms
(pow (* (* 2.0 PI) n) (/ 1.0 2.0))

series170.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* (* 2.0 PI) n)
3.0ms
(* (* 2.0 PI) n)
138.0ms
(/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))
26.0ms
(pow (* (* 2.0 PI) n) (/ 1.0 2.0))

simplify99.0ms

Algorithm
egg-herbie
Counts
130 → 130
Iterations

Useful iterations: 1 (19.0ms)

IterNodesCost
09391410
140811188
250021188

prune521.0ms

Filtered
130 candidates to 60 candidates (53.8%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1291130
Fresh167
Picked011
Done000
Total1308138

Merged error: 0.0b

Counts
138 → 8

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
55×sqrt-prod
54×times-frac
49×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
32×add-exp-log
26×associate-*l*
18×add-cbrt-cube
17×prod-exp
12×associate-/r*
11×pow1
8×sqrt-div
6×cbrt-unprod associate-/l*
5×frac-times associate-*r/
4×div-sub associate-*r* pow-prod-down pow-sub add-log-exp
3×associate-*l/ pow-exp div-inv
2×cbrt-undiv frac-2neg div-exp clear-num *-commutative
1×pow-to-exp
Counts
4 → 146
Calls
4 calls:
16.0ms
(* (sqrt (/ 1.0 (sqrt k))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
7.0ms
(* (* 2.0 PI) n)
4.0ms
(/ 1.0 (sqrt k))
4.0ms
(/ 1.0 (sqrt k))

series85.0ms

Counts
4 → 12
Calls
4 calls:
67.0ms
(* (sqrt (/ 1.0 (sqrt k))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
3.0ms
(* (* 2.0 PI) n)
7.0ms
(/ 1.0 (sqrt k))
7.0ms
(/ 1.0 (sqrt k))

simplify96.0ms

Algorithm
egg-herbie
Counts
158 → 158
Iterations

Useful iterations: 2 (81.0ms)

IterNodesCost
08241511
137441338
250011312

prune1.2s

Filtered
158 candidates to 109 candidates (31.0%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1571158
Fresh066
Picked011
Done011
Total1579166

Merged error: 0b

Counts
166 → 9

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
48×add-sqr-sqrt
45×add-exp-log
40×times-frac
35×add-cube-cbrt *-un-lft-identity
24×associate-*l*
23×sqrt-prod
22×prod-exp
21×add-cbrt-cube
14×pow1
11×associate-*r*
8×cbrt-unprod
6×div-exp pow-prod-down pow-exp associate-/r* unswap-sqr
4×div-sub add-log-exp sqr-pow
3×*-commutative associate-/l*
2×cbrt-undiv pow-to-exp div-inv pow-sub
1×frac-times unpow-prod-down frac-2neg associate-*r/ associate-*l/ clear-num
Counts
4 → 131
Calls
4 calls:
5.0ms
(* (* 2.0 PI) n)
5.0ms
(* (* 2.0 PI) n)
4.0ms
(/ 1.0 (sqrt k))
11.0ms
(* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))

series71.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* (* 2.0 PI) n)
3.0ms
(* (* 2.0 PI) n)
7.0ms
(/ 1.0 (sqrt k))
58.0ms
(* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))

simplify84.0ms

Algorithm
egg-herbie
Counts
143 → 143
Iterations

Useful iterations: 2 (71.0ms)

IterNodesCost
07731305
135101184
250011174

prune848.0ms

Filtered
143 candidates to 95 candidates (33.6%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New1430143
Fresh066
Picked011
Done022
Total1439152

Merged error: 0b

Counts
152 → 9

regimes328.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01912
11912

end0.0ms

sample5.7s

Algorithm
intervals
Results
2.1s26796×body80nan
900.0ms10590×body80valid
606.0ms969×body1280nan
396.0ms870×body640nan
339.0ms2367×body80overflowed
139.0ms449×body320nan
38.0ms219×body160nan

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