Details

Time bar (total: 7.9s)

analyze1.3s

Algorithm
search
sampling

Space saved by range analysis: 0.097632%

Space saved by search: 68.103681%

Guaranteed chance to sample good point: 58.707704%

sample86.0ms

Algorithm
intervals
Results
24.0ms256×body80valid
18.0ms31×body1280nan
14.0ms103×body80overflowed
10.0ms23×body640nan
4.0ms13×body320nan
2.0ms11×body160nan
1.0ms13×body80nan
0.0ms2×body80invalid

simplify36.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0298
1598
21198
33258
410348
550018

prune3.0ms

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

rewrite36.0ms

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))
5.0ms
(* (* 2.0 PI) n)
12.0ms
(* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
4.0ms
(/ 1.0 (sqrt k))

series92.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))
3.0ms
(* (* 2.0 PI) n)
61.0ms
(* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
11.0ms
(/ 1.0 (sqrt k))

simplify106.0ms

Algorithm
egg-herbie
Counts
161 → 161
Iterations

Useful iterations: 2 (89.0ms)

IterNodesCost
09531493
142341364
250011350

prune307.0ms

Filtered
107 candidates to 161 candidates (-50.5%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New14912161
Fresh000
Picked101
Done000
Total15012162

Merged error: 0.0b

Counts
162 → 12

localize18.0ms

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))))

rewrite32.0ms

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)
10.0ms
(/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))

series186.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(pow (* (* 2.0 PI) n) (/ 1.0 2.0))
3.0ms
(* (* 2.0 PI) n)
4.0ms
(* (* 2.0 PI) n)
154.0ms
(/ (* 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 (20.0ms)

IterNodesCost
09391410
140821188
250021188

prune198.0ms

Filtered
59 candidates to 130 candidates (-120.3%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New1282130
Fresh2911
Picked101
Done000
Total13111142

Merged error: 0.0b

Counts
142 → 11

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite41.0ms

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

series268.0ms

Counts
4 → 12
Calls
4 calls:
124.0ms
(/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))
137.0ms
(/ 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)

simplify55.0ms

Algorithm
egg-herbie
Counts
185 → 185
Iterations

Useful iterations: 1 (27.0ms)

IterNodesCost
012602862
150012541

prune356.0ms

Filtered
99 candidates to 185 candidates (-86.9%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1832185
Fresh4610
Picked011
Done000
Total1879196

Merged error: 0b

Counts
196 → 9

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

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
236×add-exp-log
118×prod-exp
85×add-sqr-sqrt
83×times-frac
77×div-exp
60×pow-exp
45×add-cube-cbrt *-un-lft-identity
35×associate-*r*
28×add-cbrt-cube
26×sqrt-prod
24×associate-*l*
22×sqr-pow
20×pow-to-exp
16×pow1
15×unswap-sqr
10×unpow-prod-down cbrt-unprod
7×pow-prod-down
6×associate-/r*
5×cbrt-undiv
4×add-log-exp
3×*-commutative div-inv associate-/l*
1×frac-times frac-2neg associate-*r/ associate-*l/ clear-num
Counts
4 → 209
Calls
4 calls:
5.0ms
(* (* 2.0 PI) n)
5.0ms
(* (* 2.0 PI) n)
24.0ms
(* (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))))
4.0ms
(/ 1.0 (sqrt k))

series153.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* (* 2.0 PI) n)
3.0ms
(* (* 2.0 PI) n)
138.0ms
(* (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))))
9.0ms
(/ 1.0 (sqrt k))

simplify51.0ms

Algorithm
egg-herbie
Counts
221 → 221
Iterations

Useful iterations: 1 (26.0ms)

IterNodesCost
012802683
150012479

prune356.0ms

Filtered
128 candidates to 221 candidates (-72.7%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New2210221
Fresh077
Picked011
Done011
Total2219230

Merged error: 0b

Counts
230 → 9

regimes193.0ms

Accuracy

0% (0.5b 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
01812
11812

end0.0ms

analyze1.3s

Algorithm
search
sampling

Space saved by range analysis: 0.097632%

Space saved by search: 68.103681%

Guaranteed chance to sample good point: 58.707704%

sample2.5s

Algorithm
intervals
Results
713.0ms8000×body80valid
587.0ms973×body1280nan
360.0ms817×body640nan
333.0ms2483×body80overflowed
121.0ms397×body320nan
35.0ms200×body160nan
34.0ms552×body80nan
10.0ms117×body80invalid

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