Details

Time bar (total: 10.0s)

sample155.0ms

Algorithm
intervals
Results
53.0ms877×body80nan
26.0ms73×body1280nan
21.0ms343×body80valid
16.0ms58×body640nan
6.0ms31×body320nan
1.0ms10×body160nan

simplify36.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0298
1598
21198
33258
410348
550018

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite39.0ms

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:
13.0ms
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))
11.0ms
(* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
5.0ms
(* (* 2.0 PI) n)
4.0ms
(/ 1.0 (sqrt k))

series520.0ms

Counts
4 → 12
Calls
4 calls:
139.0ms
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))
312.0ms
(* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
31.0ms
(* (* 2.0 PI) n)
38.0ms
(/ 1.0 (sqrt k))

simplify97.0ms

Algorithm
egg-herbie
Counts
161 → 161
Iterations

Useful iterations: 2 (83.0ms)

IterNodesCost
09501461
139251358
250031344

prune412.0ms

Filtered
161 candidates to 107 candidates (66.5%)
Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b
(pow (* (* 2.0 PI) n) (/ 1.0 2.0))
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)

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:
7.0ms
(pow (* (* 2.0 PI) n) (/ 1.0 2.0))
10.0ms
(/ (* 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)

series1.2s

Counts
4 → 12
Calls
4 calls:
254.0ms
(pow (* (* 2.0 PI) n) (/ 1.0 2.0))
875.0ms
(/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))
36.0ms
(* (* 2.0 PI) n)
31.0ms
(* (* 2.0 PI) n)

simplify97.0ms

Algorithm
egg-herbie
Counts
130 → 130
Iterations

Useful iterations: 1 (19.0ms)

IterNodesCost
09161358
139521199
250021199

prune280.0ms

Filtered
130 candidates to 60 candidates (46.2%)
Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
39×add-exp-log
20×pow1
19×add-cbrt-cube
17×add-sqr-sqrt add-cube-cbrt *-un-lft-identity prod-exp
15×times-frac
13×pow-unpow
9×pow-prod-down
7×cbrt-unprod
6×div-exp associate-*r* pow-exp associate-/r* sqrt-prod
4×add-log-exp
3×pow-pow
2×cbrt-undiv pow-to-exp associate-*l* *-commutative div-inv
1×unpow-prod-down frac-2neg clear-num associate-/l* sqr-pow
Counts
4 → 96
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)
11.0ms
(/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt k))

series865.0ms

Counts
4 → 12
Calls
4 calls:
259.0ms
(pow (* (* 2.0 PI) n) (/ 1.0 2.0))
36.0ms
(* (* 2.0 PI) n)
30.0ms
(* (* 2.0 PI) n)
539.0ms
(/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt k))

simplify62.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
0571716
12402617
25001613

prune288.0ms

Filtered
108 candidates to 65 candidates (60.2%)
Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
48×add-exp-log
28×add-cbrt-cube
24×prod-exp
23×pow1
15×associate-*r*
13×add-sqr-sqrt add-cube-cbrt *-un-lft-identity cbrt-unprod
12×pow-prod-down sqrt-prod
7×div-exp
6×times-frac associate-/r*
4×pow-exp add-log-exp
3×associate-*l* *-commutative
2×cbrt-undiv
1×pow-to-exp frac-2neg clear-num div-inv associate-/l*
Counts
4 → 95
Calls
4 calls:
5.0ms
(* (* 2.0 PI) n)
6.0ms
(* (* 2.0 PI) (sqrt n))
8.0ms
(/ (* 1.0 (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0))) (sqrt k))
13.0ms
(* (* (* 2.0 PI) (sqrt n)) (sqrt n))

series811.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(* (* 2.0 PI) n)
81.0ms
(* (* 2.0 PI) (sqrt n))
653.0ms
(/ (* 1.0 (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0))) (sqrt k))
45.0ms
(* (* (* 2.0 PI) (sqrt n)) (sqrt n))

simplify77.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (68.0ms)

IterNodesCost
0630824
12968677
25001646

prune261.0ms

Filtered
107 candidates to 60 candidates (56.1%)
Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

regimes112.0ms

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
01812
11812

end0.0ms

sample4.5s

Algorithm
intervals
Results
1.6s26617×body80nan
763.0ms2082×body1280nan
684.0ms10636×body80valid
469.0ms1695×body640nan
165.0ms823×body320nan
49.0ms421×body160nan