This is really a leftover from ticket #467, split because I wanted the first half of the fix to make it into 2.8.7. Here's a summary of the badness:
sage: x = 10^100000
sage: time y = pari(x)
CPU times: user 1.18 s, sys: 0.01 s, total: 1.19 s
Wall time: 1.26
sage: time z = Integer(y)
CPU times: user 0.00 s, sys: 0.00 s, total: 0.01 s
Wall time: 0.02
sage: time u = int(y)
CPU times: user 1.94 s, sys: 1.33 s, total: 3.27 s
Wall time: 3.58
sage: time u = int(Integer(y))
CPU times: user 0.00 s, sys: 0.00 s, total: 0.01 s
Wall time: 0.03
sage: x = 10^1000000
sage: time y = pari(x)
CPU times: user 105.12 s, sys: 1.26 s, total: 106.38 s
Wall time: 121.86
sage: time z = Integer(y)
CPU times: user 0.03 s, sys: 0.02 s, total: 0.05 s
Wall time: 0.09
sage: time u = int(y)
CPU times: user 188.17 s, sys: 145.12 s, total: 333.28 s
Wall time: 364.80
sage: time u = int(Integer(y))
CPU times: user 0.04 s, sys: 0.02 s, total: 0.06 s
Wall time: 0.07
And here's the state of affairs after the first patch:
sage: x = 10^100000
sage: time y = pari(x)
CPU times: user 0.00 s, sys: 0.00 s, total: 0.00 s
Wall time: 0.00
sage: time z = Integer(y)
CPU times: user 0.00 s, sys: 0.00 s, total: 0.00 s
Wall time: 0.00
sage: time u = int(y)
CPU times: user 1.64 s, sys: 1.09 s, total: 2.73 s
Wall time: 2.79
sage: time u = int(Integer(y))
CPU times: user 0.00 s, sys: 0.00 s, total: 0.00 s
Wall time: 0.00
sage: x = 10^1000000
sage: time y = pari(x)
CPU times: user 0.00 s, sys: 0.00 s, total: 0.01 s
Wall time: 0.01
sage: time z = Integer(y)
CPU times: user 0.00 s, sys: 0.00 s, total: 0.00 s
Wall time: 0.00
sage: time u = int(y)
CPU times: user 220.90 s, sys: 137.34 s, total: 358.24 s
Wall time: 408.11
sage: time u = int(Integer(y))
CPU times: user 0.00 s, sys: 0.00 s, total: 0.01 s
Wall time: 0.01
Clearly that third function call needs to be fixed, and it will be within a few days.
