Details

Time bar (total: 13.8s)

sample195.0ms

Algorithm
intervals
Results
73.0ms925×body80nan
31.0ms339×body80valid
19.0ms30×body1280nan
12.0ms27×body640nan
11.0ms83×body80overflowed
3.0ms9×body320nan
1.0ms7×body160nan

simplify35.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0298
1598
21198
33258
410348
550018

prune3.0ms

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: 0.5b

Counts
2 → 1

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite35.0ms

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:
5.0ms
(* (* 2.0 PI) n)
9.0ms
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))
4.0ms
(/ 1.0 (sqrt k))
11.0ms
(* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))

series92.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* (* 2.0 PI) n)
17.0ms
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))
8.0ms
(/ 1.0 (sqrt k))
64.0ms
(* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))

simplify104.0ms

Algorithm
egg-herbie
Counts
161 → 161
Iterations

Useful iterations: 2 (89.0ms)

IterNodesCost
09531493
142331364
250021351

prune325.0ms

Filtered
161 candidates to 107 candidates (33.5%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New1529161
Fresh000
Picked101
Done000
Total1539162

Merged error: 0.0b

Counts
162 → 9

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b
(pow (* (* 2.0 PI) n) (/ 1.0 2.0))
0.2b
(* (* 2.0 PI) n)
0.2b
(* (* 2.0 PI) n)
0.3b
(/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))

rewrite34.0ms

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:
6.0ms
(pow (* (* 2.0 PI) n) (/ 1.0 2.0))
5.0ms
(* (* 2.0 PI) n)
5.0ms
(* (* 2.0 PI) n)
12.0ms
(/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))

series183.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(pow (* (* 2.0 PI) n) (/ 1.0 2.0))
3.0ms
(* (* 2.0 PI) n)
3.0ms
(* (* 2.0 PI) n)
149.0ms
(/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))

simplify100.0ms

Algorithm
egg-herbie
Counts
130 → 130
Iterations

Useful iterations: 1 (19.0ms)

IterNodesCost
09391410
140821188
250021188

prune211.0ms

Filtered
130 candidates to 59 candidates (54.6%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New1264130
Fresh268
Picked011
Done000
Total12811139

Merged error: 0.0b

Counts
139 → 11

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
260×add-exp-log
122×prod-exp
91×div-exp
66×pow-exp
52×times-frac
28×add-cbrt-cube
26×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
22×pow-to-exp
14×pow1 associate-/r*
8×cbrt-unprod
7×cbrt-undiv
6×unpow-prod-down associate-*r* pow-prod-down div-inv sqr-pow
4×associate-/l* add-log-exp
2×frac-2neg associate-*l* clear-num *-commutative
1×associate-/r/
Counts
4 → 173
Calls
4 calls:
10.0ms
(/ 1.0 (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))
5.0ms
(* (* 2.0 PI) n)
5.0ms
(* (* 2.0 PI) n)
9.0ms
(/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))

series267.0ms

Counts
4 → 12
Calls
4 calls:
136.0ms
(/ 1.0 (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))
3.0ms
(* (* 2.0 PI) n)
3.0ms
(* (* 2.0 PI) n)
123.0ms
(/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))

simplify52.0ms

Algorithm
egg-herbie
Counts
185 → 185
Iterations

Useful iterations: 1 (27.0ms)

IterNodesCost
012602862
150012541

prune391.0ms

Filtered
185 candidates to 99 candidates (46.5%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New1823185
Fresh369
Picked101
Done011
Total18610196

Merged error: 0.0b

Counts
196 → 10

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite163.0ms

Algorithm
rewrite-expression-head
Rules
2182×times-frac
823×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
438×sqrt-prod
310×unpow-prod-down sqr-pow
236×add-exp-log
208×associate-/r*
129×div-exp
66×prod-exp
60×pow-exp
37×div-inv
28×add-cbrt-cube
20×pow-to-exp
14×pow1
9×cbrt-undiv associate-/l*
6×associate-*r* pow-prod-down associate-/r/ cbrt-unprod
4×add-log-exp
2×frac-2neg associate-*l* clear-num *-commutative
Counts
4 → 1044
Calls
4 calls:
40.0ms
(/ 1.0 (/ (sqrt k) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))))
5.0ms
(* (* 2.0 PI) n)
5.0ms
(* (* 2.0 PI) n)
17.0ms
(/ (sqrt k) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))))

series270.0ms

Counts
4 → 12
Calls
4 calls:
138.0ms
(/ 1.0 (/ (sqrt k) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))))
3.0ms
(* (* 2.0 PI) n)
3.0ms
(* (* 2.0 PI) n)
125.0ms
(/ (sqrt k) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))))

simplify283.0ms

Algorithm
egg-herbie
Counts
1056 → 1056
Iterations

Useful iterations: 1 (71.0ms)

IterNodesCost
0398724513
1500124080

prune5.0s

Filtered
1056 candidates to 668 candidates (36.7%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New105421056
Fresh268
Picked011
Done011
Total1056101066

Merged error: 0b

Counts
1066 → 10

regimes215.0ms

Accuracy

0% (0.4b 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
01712
11712

end0.0ms

sample5.7s

Algorithm
intervals
Results
2.2s27073×body80nan
899.0ms10589×body80valid
632.0ms1036×body1280nan
357.0ms815×body640nan
330.0ms2409×body80overflowed
131.0ms425×body320nan
34.0ms195×body160nan

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