Details

Time bar (total: 10.2s)

sample165.0ms

Algorithm
intervals
Results
54.0ms984×body80nan
26.0ms77×body1280nan
25.0ms341×body80valid
18.0ms73×body640nan
6.0ms30×body320nan
2.0ms16×body160nan

simplify37.0ms

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 (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.5b

Counts
2 → 1

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
(/ 1.0 (sqrt k))
0.3b
(* (* 2.0 PI) n)
0.3b
(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×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:
11.0ms
(* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
4.0ms
(/ 1.0 (sqrt k))
5.0ms
(* (* 2.0 PI) n)
14.0ms
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

series552.0ms

Counts
4 → 12
Calls
4 calls:
333.0ms
(* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
39.0ms
(/ 1.0 (sqrt k))
39.0ms
(* (* 2.0 PI) n)
141.0ms
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

simplify99.0ms

Algorithm
egg-herbie
Counts
161 → 161
Iterations

Useful iterations: 2 (84.0ms)

IterNodesCost
09501461
139241358
250021344

prune401.0ms

Filtered
161 candidates to 107 candidates (66.5%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New14912161
Fresh000
Picked101
Done000
Total15012162

Merged error: 0.0b

Counts
162 → 12

localize19.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ 1.0 (sqrt k))
0.3b
(* (* 2.0 PI) n)
0.4b
(pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (- (sqrt 1.0) (sqrt k)) 2.0))
0.4b
(pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
67×add-sqr-sqrt *-un-lft-identity
60×times-frac
50×pow-unpow
43×add-cube-cbrt
36×sqrt-prod
24×add-exp-log
15×pow1
12×difference-of-squares
11×pow-exp add-cbrt-cube
9×prod-exp
7×unpow-prod-down
6×pow-prod-down associate-/r* distribute-lft-out distribute-lft-out--
4×pow-pow add-log-exp
3×pow-to-exp associate-*r* cbrt-unprod div-inv associate-/l* sqr-pow
1×cbrt-undiv frac-2neg div-sub div-exp associate-*l* clear-num *-commutative pow-sub
Counts
4 → 144
Calls
4 calls:
4.0ms
(/ 1.0 (sqrt k))
5.0ms
(* (* 2.0 PI) n)
12.0ms
(pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (- (sqrt 1.0) (sqrt k)) 2.0))
11.0ms
(pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1))

series1.2s

Counts
4 → 12
Calls
4 calls:
39.0ms
(/ 1.0 (sqrt k))
38.0ms
(* (* 2.0 PI) n)
846.0ms
(pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (- (sqrt 1.0) (sqrt k)) 2.0))
300.0ms
(pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1))

simplify76.0ms

Algorithm
egg-herbie
Counts
156 → 156
Iterations

Useful iterations: 1 (35.0ms)

IterNodesCost
018453752
150013640

prune521.0ms

Filtered
156 candidates to 97 candidates (62.2%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New1542156
Fresh3811
Picked011
Done000
Total15711168

Merged error: 0.0b

Counts
168 → 11

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite37.0ms

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

series1.3s

Counts
4 → 12
Calls
4 calls:
915.0ms
(/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))
32.0ms
(* (* 2.0 PI) n)
38.0ms
(* (* 2.0 PI) n)
266.0ms
(pow (* (* 2.0 PI) n) (/ 1.0 2.0))

simplify100.0ms

Algorithm
egg-herbie
Counts
130 → 130
Iterations

Useful iterations: 1 (20.0ms)

IterNodesCost
09161358
139511199
250021199

prune386.0ms

Filtered
130 candidates to 59 candidates (45.4%)
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New1300130
Fresh099
Picked011
Done011
Total13011141

Merged error: 0.0b

Counts
141 → 11

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
27×times-frac
22×add-exp-log
20×pow1
16×add-cbrt-cube
13×pow-unpow
12×sqrt-prod
9×pow-prod-down prod-exp
6×associate-*r* associate-/r* cbrt-unprod
4×add-log-exp
3×pow-pow pow-exp associate-/l*
2×associate-*l* *-commutative div-inv
1×cbrt-undiv pow-to-exp unpow-prod-down frac-2neg div-exp clear-num sqr-pow
Counts
4 → 104
Calls
4 calls:
4.0ms
(/ 1.0 (sqrt k))
5.0ms
(* (* 2.0 PI) n)
5.0ms
(* (* 2.0 PI) n)
7.0ms
(pow (* (* 2.0 PI) n) (/ 1.0 2.0))

series363.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(/ 1.0 (sqrt k))
32.0ms
(* (* 2.0 PI) n)
33.0ms
(* (* 2.0 PI) n)
255.0ms
(pow (* (* 2.0 PI) n) (/ 1.0 2.0))

simplify49.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0435565
11610505
25001493

prune244.0ms

Filtered
116 candidates to 73 candidates (62.9%)
Pruning

11 alts after pruning (8 fresh and 3 done)

PrunedKeptTotal
New1160116
Fresh088
Picked011
Done022
Total11611127

Merged error: 0.0b

Counts
127 → 11

regimes190.0ms

Accuracy

0% (0.7b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 0.8b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02415
12415

end0.0ms

sample4.4s

Algorithm
intervals
Results
1.5s27013×body80nan
722.0ms2035×body1280nan
649.0ms10648×body80valid
447.0ms1669×body640nan
151.0ms800×body320nan
50.0ms443×body160nan

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