Details

Time bar (total: 7.5s)

sample79.0ms

Algorithm
intervals
Results
34.0ms671×body80nan
21.0ms362×body80valid

simplify38.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0298
1598
21198
33258
410448
550018

prune3.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize17.0ms

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)
0.9b
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

rewrite44.0ms

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×expm1-log1p-u log1p-expm1-u 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 → 157
Calls
4 calls:
18.0ms
(* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
3.0ms
(/ 1.0 (sqrt k))
7.0ms
(* (* 2.0 PI) n)
10.0ms
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

series562.0ms

Counts
4 → 12
Calls
4 calls:
332.0ms
(* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
46.0ms
(/ 1.0 (sqrt k))
32.0ms
(* (* 2.0 PI) n)
151.0ms
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

simplify110.0ms

Algorithm
egg-herbie
Counts
169 → 169
Iterations

Useful iterations: 2 (88.0ms)

IterNodesCost
09811502
140211398
250031383

prune486.0ms

Filtered
169 candidates to 119 candidates (70.4%)
Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ 1.0 (sqrt (sqrt k)))
0.3b
(* (* 2.0 PI) n)
0.3b
(/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))
0.9b
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

rewrite76.0ms

Algorithm
rewrite-expression-head
Rules
594×sqrt-prod
591×times-frac
328×add-sqr-sqrt *-un-lft-identity
322×add-cube-cbrt
34×associate-/l*
22×add-exp-log
19×pow-unpow
18×associate-/r*
16×add-cbrt-cube
15×pow1
13×div-inv
6×pow-prod-down prod-exp
4×cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u add-log-exp
3×pow-pow associate-*r* pow-exp cbrt-unprod distribute-lft-out-- difference-of-squares
2×frac-2neg clear-num
1×pow-to-exp unpow-prod-down div-sub associate-*l* *-commutative associate-/l/ pow-sub sqr-pow
Counts
4 → 447
Calls
4 calls:
4.0ms
(/ 1.0 (sqrt (sqrt k)))
12.0ms
(* (* 2.0 PI) n)
18.0ms
(/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))
10.0ms
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

series598.0ms

Counts
4 → 12
Calls
4 calls:
168.0ms
(/ 1.0 (sqrt (sqrt k)))
36.0ms
(* (* 2.0 PI) n)
39.0ms
(/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))
354.0ms
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

simplify78.0ms

Algorithm
egg-herbie
Counts
459 → 459
Iterations

Useful iterations: 1 (30.0ms)

IterNodesCost
013555833
150015050

prune805.0ms

Filtered
459 candidates to 179 candidates (39.0%)
Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ 1.0 (sqrt k))
0.3b
(/ 1.0 (sqrt k))
0.3b
(* (* 2.0 PI) n)
0.9b
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
51×times-frac
50×add-sqr-sqrt *-un-lft-identity
44×add-cube-cbrt
24×sqrt-prod
19×add-exp-log pow-unpow
15×pow1
13×add-cbrt-cube
12×associate-/r*
6×pow-prod-down prod-exp associate-/l*
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow-pow associate-*r* pow-exp cbrt-unprod div-inv distribute-lft-out-- difference-of-squares
2×cbrt-undiv frac-2neg div-exp clear-num
1×pow-to-exp unpow-prod-down div-sub associate-*l* *-commutative pow-sub sqr-pow
Counts
4 → 140
Calls
4 calls:
3.0ms
(/ 1.0 (sqrt k))
3.0ms
(/ 1.0 (sqrt k))
7.0ms
(* (* 2.0 PI) n)
10.0ms
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

series261.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(/ 1.0 (sqrt k))
44.0ms
(/ 1.0 (sqrt k))
32.0ms
(* (* 2.0 PI) n)
146.0ms
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

simplify65.0ms

Algorithm
egg-herbie
Counts
152 → 152
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
0579912
12248843
25001807

prune466.0ms

Filtered
152 candidates to 104 candidates (68.4%)
Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt k)
0.6b
(cbrt k)
0.6b
(cbrt k)
0.9b
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt *-un-lft-identity
19×pow-unpow
16×add-cube-cbrt
15×times-frac
10×pow1 add-exp-log
9×cbrt-prod
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×pow-pow pow1/3 pow-prod-down pow-exp prod-exp distribute-lft-out-- difference-of-squares
1×pow-to-exp unpow-prod-down div-sub div-inv pow-sub sqr-pow
Counts
4 → 77
Calls
4 calls:
0.0ms
(cbrt k)
0.0ms
(cbrt k)
0.0ms
(cbrt k)
10.0ms
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

series692.0ms

Counts
4 → 12
Calls
4 calls:
184.0ms
(cbrt k)
180.0ms
(cbrt k)
179.0ms
(cbrt k)
148.0ms
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

simplify38.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0364467
11244442
25001412

prune404.0ms

Filtered
89 candidates to 71 candidates (79.8%)
Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes96.0ms

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
01913
11913

end0.0ms

sample2.4s

Algorithm
intervals
Results
1.1s20743×body80nan
739.0ms11931×body80valid
0.0ms2×body160nan