Details

Time bar (total: 19.6s)

analyze47.0ms (0.2%)

Algorithm
search
Search
TrueOtherFalseIter
0%14%86%0
0%14%86%1
0%14%86%2
0%14%86%3
0%14%86%4
0%14%86%5
0%14%86%6
8.1%5.9%86%7
10.3%3.7%86%8
12.6%1.5%86%9
13.9%0.1%86%10
14%0%86%11
14%0%86%12
14%0%86%13
14%0%86%14
Compiler

Compiled 63 to 34 computations (46% saved)

sample36.0ms (0.2%)

Algorithm
intervals
Results
20.0ms256×body128valid
6.0ms256×pre128true
Compiler

Compiled 116 to 64 computations (44.8% saved)

simplify204.0ms (1%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
0539579

prune4.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 54.8b

Counts
2 → 1
Compiler

Compiled 106 to 54 computations (49.1% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b
(*.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) (+.f64 (+.f64 alpha beta) (*.f64 2 i)))
0.1b
(*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i))))
34.4b
(/.f64 (/.f64 (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i)))) (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) (+.f64 (+.f64 alpha beta) (*.f64 2 i)))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) (+.f64 (+.f64 alpha beta) (*.f64 2 i))) 1))
47.1b
(/.f64 (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i)))) (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) (+.f64 (+.f64 alpha beta) (*.f64 2 i))))

rewrite165.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
86×times-frac_binary64_1805
66×associate-/r/_binary64_1745 flip3-+_binary64_1802 flip-+_binary64_1773
61×add-cbrt-cube_binary64_1835 add-exp-log_binary64_1837
46×add-sqr-sqrt_binary64_1821
44×*-un-lft-identity_binary64_1799 frac-times_binary64_1809
34×associate-*r/_binary64_1741
30×add-cube-cbrt_binary64_1834
28×difference-of-squares_binary64_1768
22×prod-exp_binary64_1848 cbrt-unprod_binary64_1832 associate-*l/_binary64_1742
19×div-exp_binary64_1850 cbrt-undiv_binary64_1833
16×pow1_binary64_1860
14×associate-/l*_binary64_1744 difference-of-sqr-1_binary64_1769
associate-/l/_binary64_1746 div-inv_binary64_1796
associate-/r*_binary64_1743
associate-*r*_binary64_1739
add-log-exp_binary64_1838 associate-*l*_binary64_1740 pow-prod-down_binary64_1870
swap-sqr_binary64_1766
distribute-rgt-in_binary64_1749 clear-num_binary64_1798 distribute-lft-in_binary64_1748 frac-2neg_binary64_1810 *-commutative_binary64_1730
pow2_binary64_1880 pow-sqr_binary64_1772 unswap-sqr_binary64_1767 flip--_binary64_1774 flip3--_binary64_1803 pow-prod-up_binary64_1869 pow-plus_binary64_1862
Counts
4 → 228
Calls

4 calls:

46.0ms
(/.f64 (/.f64 (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i)))) (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) (+.f64 (+.f64 alpha beta) (*.f64 2 i)))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) (+.f64 (+.f64 alpha beta) (*.f64 2 i))) 1))
29.0ms
(/.f64 (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i)))) (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) (+.f64 (+.f64 alpha beta) (*.f64 2 i))))
15.0ms
(*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i))))
15.0ms
(*.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) (+.f64 (+.f64 alpha beta) (*.f64 2 i)))

series3.7s (19%)

Counts
4 → 12
Calls

4 calls:

2.9s
(/.f64 (/.f64 (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i)))) (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) (+.f64 (+.f64 alpha beta) (*.f64 2 i)))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) (+.f64 (+.f64 alpha beta) (*.f64 2 i))) 1))
522.0ms
(/.f64 (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i)))) (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) (+.f64 (+.f64 alpha beta) (*.f64 2 i))))
204.0ms
(*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i))))
99.0ms
(*.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) (+.f64 (+.f64 alpha beta) (*.f64 2 i)))

simplify151.0ms (0.8%)

Algorithm
egg-herbie
Counts
240 → 240
Iterations

Useful iterations: 0 (22.0ms)

IterNodesCost
0525518181

prune1.0s (5.1%)

Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New2337240
Fresh000
Picked101
Done000
Total2347241

Merged error: 32.0b

Counts
241 → 7
Compiler

Compiled 27059 to 11340 computations (58.1% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b
(/.f64 (/.f64 (+.f64 (*.f64 alpha beta) (*.f64 i (+.f64 i (+.f64 alpha beta)))) (+.f64 (+.f64 alpha beta) (*.f64 i 2))) (-.f64 (+.f64 (+.f64 alpha beta) (*.f64 i 2)) 1))
0.1b
(*.f64 (/.f64 (/.f64 (*.f64 i (+.f64 i (+.f64 alpha beta))) (+.f64 (+.f64 alpha beta) (*.f64 i 2))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 i 2)) 1)) (/.f64 (/.f64 (+.f64 (*.f64 alpha beta) (*.f64 i (+.f64 i (+.f64 alpha beta)))) (+.f64 (+.f64 alpha beta) (*.f64 i 2))) (-.f64 (+.f64 (+.f64 alpha beta) (*.f64 i 2)) 1)))
32.5b
(/.f64 (*.f64 i (+.f64 i (+.f64 alpha beta))) (+.f64 (+.f64 alpha beta) (*.f64 i 2)))
32.9b
(/.f64 (+.f64 (*.f64 alpha beta) (*.f64 i (+.f64 i (+.f64 alpha beta)))) (+.f64 (+.f64 alpha beta) (*.f64 i 2)))

rewrite283.0ms (1.4%)

Algorithm
rewrite-expression-head
Rules
414×times-frac_binary64_1805
314×add-sqr-sqrt_binary64_1821
280×*-un-lft-identity_binary64_1799
169×add-cube-cbrt_binary64_1834
111×associate-*r*_binary64_1739
70×add-cbrt-cube_binary64_1835 add-exp-log_binary64_1837
62×difference-of-squares_binary64_1768
48×associate-/r/_binary64_1745
42×associate-*l*_binary64_1740
33×div-exp_binary64_1850 cbrt-undiv_binary64_1833
31×difference-of-sqr-1_binary64_1769 distribute-lft-out--_binary64_1751
24×div-inv_binary64_1796 flip3-+_binary64_1802 flip-+_binary64_1773
19×associate-/l*_binary64_1744
16×prod-exp_binary64_1848 cbrt-unprod_binary64_1832
13×associate-/r*_binary64_1743
distribute-lft-out_binary64_1750
pow1_binary64_1860 unswap-sqr_binary64_1767
associate-/l/_binary64_1746
add-log-exp_binary64_1838
clear-num_binary64_1798 frac-2neg_binary64_1810 associate-*r/_binary64_1741
flip--_binary64_1774 flip3--_binary64_1803
*-commutative_binary64_1730 pow-prod-down_binary64_1870 frac-times_binary64_1809 associate-*l/_binary64_1742
Counts
4 → 395
Calls

4 calls:

132.0ms
(*.f64 (/.f64 (/.f64 (*.f64 i (+.f64 i (+.f64 alpha beta))) (+.f64 (+.f64 alpha beta) (*.f64 i 2))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 i 2)) 1)) (/.f64 (/.f64 (+.f64 (*.f64 alpha beta) (*.f64 i (+.f64 i (+.f64 alpha beta)))) (+.f64 (+.f64 alpha beta) (*.f64 i 2))) (-.f64 (+.f64 (+.f64 alpha beta) (*.f64 i 2)) 1)))
24.0ms
(/.f64 (/.f64 (+.f64 (*.f64 alpha beta) (*.f64 i (+.f64 i (+.f64 alpha beta)))) (+.f64 (+.f64 alpha beta) (*.f64 i 2))) (-.f64 (+.f64 (+.f64 alpha beta) (*.f64 i 2)) 1))
14.0ms
(/.f64 (*.f64 i (+.f64 i (+.f64 alpha beta))) (+.f64 (+.f64 alpha beta) (*.f64 i 2)))
12.0ms
(/.f64 (+.f64 (*.f64 alpha beta) (*.f64 i (+.f64 i (+.f64 alpha beta)))) (+.f64 (+.f64 alpha beta) (*.f64 i 2)))

series3.8s (19.5%)

Counts
4 → 12
Calls

4 calls:

3.1s
(*.f64 (/.f64 (/.f64 (*.f64 i (+.f64 i (+.f64 alpha beta))) (+.f64 (+.f64 alpha beta) (*.f64 i 2))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 i 2)) 1)) (/.f64 (/.f64 (+.f64 (*.f64 alpha beta) (*.f64 i (+.f64 i (+.f64 alpha beta)))) (+.f64 (+.f64 alpha beta) (*.f64 i 2))) (-.f64 (+.f64 (+.f64 alpha beta) (*.f64 i 2)) 1)))
381.0ms
(/.f64 (/.f64 (+.f64 (*.f64 alpha beta) (*.f64 i (+.f64 i (+.f64 alpha beta)))) (+.f64 (+.f64 alpha beta) (*.f64 i 2))) (-.f64 (+.f64 (+.f64 alpha beta) (*.f64 i 2)) 1))
222.0ms
(/.f64 (+.f64 (*.f64 alpha beta) (*.f64 i (+.f64 i (+.f64 alpha beta)))) (+.f64 (+.f64 alpha beta) (*.f64 i 2)))
125.0ms
(/.f64 (*.f64 i (+.f64 i (+.f64 alpha beta))) (+.f64 (+.f64 alpha beta) (*.f64 i 2)))

simplify233.0ms (1.2%)

Algorithm
egg-herbie
Counts
407 → 407
Iterations

Useful iterations: 0 (27.0ms)

IterNodesCost
0513930002

prune1.6s (8.1%)

Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New4025407
Fresh426
Picked101
Done000
Total4077414

Merged error: 31.9b

Counts
414 → 7
Compiler

Compiled 38877 to 16837 computations (56.7% saved)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b
(/.f64 (+.f64 i (+.f64 alpha beta)) (+.f64 (+.f64 alpha beta) (*.f64 i 2)))
0.0b
(*.f64 i (/.f64 (+.f64 i (+.f64 alpha beta)) (+.f64 (+.f64 alpha beta) (*.f64 i 2))))
0.1b
(*.f64 (/.f64 (*.f64 i (/.f64 (+.f64 i (+.f64 alpha beta)) (+.f64 (+.f64 alpha beta) (*.f64 i 2)))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 i 2)) 1)) (/.f64 (/.f64 (+.f64 (*.f64 alpha beta) (*.f64 i (+.f64 i (+.f64 alpha beta)))) (+.f64 (+.f64 alpha beta) (*.f64 i 2))) (-.f64 (+.f64 (+.f64 alpha beta) (*.f64 i 2)) 1)))
32.9b
(/.f64 (+.f64 (*.f64 alpha beta) (*.f64 i (+.f64 i (+.f64 alpha beta)))) (+.f64 (+.f64 alpha beta) (*.f64 i 2)))

rewrite198.0ms (1%)

Algorithm
rewrite-expression-head
Rules
215×times-frac_binary64_1805
181×*-un-lft-identity_binary64_1799
173×add-sqr-sqrt_binary64_1821
132×associate-*r*_binary64_1739
99×add-cube-cbrt_binary64_1834
67×add-cbrt-cube_binary64_1835 add-exp-log_binary64_1837
30×difference-of-squares_binary64_1768
27×div-exp_binary64_1850 cbrt-undiv_binary64_1833
24×associate-/r/_binary64_1745
22×distribute-lft-out_binary64_1750
20×prod-exp_binary64_1848 cbrt-unprod_binary64_1832
15×difference-of-sqr-1_binary64_1769 distribute-lft-out--_binary64_1751
13×associate-*l*_binary64_1740 flip3-+_binary64_1802 flip-+_binary64_1773
12×div-inv_binary64_1796
pow1_binary64_1860 associate-/l*_binary64_1744
associate-/r*_binary64_1743
unswap-sqr_binary64_1767
add-log-exp_binary64_1838 associate-/l/_binary64_1746
clear-num_binary64_1798 frac-2neg_binary64_1810 associate-*r/_binary64_1741 *-commutative_binary64_1730 pow-prod-down_binary64_1870
flip--_binary64_1774 flip3--_binary64_1803 frac-times_binary64_1809 associate-*l/_binary64_1742
Counts
4 → 270
Calls

4 calls:

85.0ms
(*.f64 (/.f64 (*.f64 i (/.f64 (+.f64 i (+.f64 alpha beta)) (+.f64 (+.f64 alpha beta) (*.f64 i 2)))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 i 2)) 1)) (/.f64 (/.f64 (+.f64 (*.f64 alpha beta) (*.f64 i (+.f64 i (+.f64 alpha beta)))) (+.f64 (+.f64 alpha beta) (*.f64 i 2))) (-.f64 (+.f64 (+.f64 alpha beta) (*.f64 i 2)) 1)))
19.0ms
(*.f64 i (/.f64 (+.f64 i (+.f64 alpha beta)) (+.f64 (+.f64 alpha beta) (*.f64 i 2))))
14.0ms
(/.f64 (+.f64 i (+.f64 alpha beta)) (+.f64 (+.f64 alpha beta) (*.f64 i 2)))
12.0ms
(/.f64 (+.f64 (*.f64 alpha beta) (*.f64 i (+.f64 i (+.f64 alpha beta)))) (+.f64 (+.f64 alpha beta) (*.f64 i 2)))

series3.5s (18.1%)

Counts
4 → 12
Calls

4 calls:

3.1s
(*.f64 (/.f64 (*.f64 i (/.f64 (+.f64 i (+.f64 alpha beta)) (+.f64 (+.f64 alpha beta) (*.f64 i 2)))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 i 2)) 1)) (/.f64 (/.f64 (+.f64 (*.f64 alpha beta) (*.f64 i (+.f64 i (+.f64 alpha beta)))) (+.f64 (+.f64 alpha beta) (*.f64 i 2))) (-.f64 (+.f64 (+.f64 alpha beta) (*.f64 i 2)) 1)))
220.0ms
(/.f64 (+.f64 (*.f64 alpha beta) (*.f64 i (+.f64 i (+.f64 alpha beta)))) (+.f64 (+.f64 alpha beta) (*.f64 i 2)))
124.0ms
(*.f64 i (/.f64 (+.f64 i (+.f64 alpha beta)) (+.f64 (+.f64 alpha beta) (*.f64 i 2))))
92.0ms
(/.f64 (+.f64 i (+.f64 alpha beta)) (+.f64 (+.f64 alpha beta) (*.f64 i 2)))

simplify177.0ms (0.9%)

Algorithm
egg-herbie
Counts
282 → 282
Iterations

Useful iterations: 0 (58.0ms)

IterNodesCost
0503817008

prune923.0ms (4.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New2802282
Fresh246
Picked011
Done000
Total2827289

Merged error: 1.5b

Counts
289 → 7
Compiler

Compiled 23746 to 10219 computations (57% saved)

localize24.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b
(/.f64 (*.f64 i (/.f64 (+.f64 i (+.f64 alpha beta)) (+.f64 (+.f64 alpha beta) (*.f64 i 2)))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 i 2)) 1))
0.0b
(*.f64 (/.f64 (*.f64 i (/.f64 (+.f64 i (+.f64 alpha beta)) (+.f64 (+.f64 alpha beta) (*.f64 i 2)))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 i 2)) 1)) (/.f64 (+.f64 (*.f64 alpha 1/4) (+.f64 (*.f64 i 1/2) (*.f64 beta 1/4))) (-.f64 (+.f64 (+.f64 alpha beta) (*.f64 i 2)) 1)))
0.0b
(/.f64 (+.f64 i (+.f64 alpha beta)) (+.f64 (+.f64 alpha beta) (*.f64 i 2)))
0.0b
(*.f64 i (/.f64 (+.f64 i (+.f64 alpha beta)) (+.f64 (+.f64 alpha beta) (*.f64 i 2))))

rewrite144.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
89×*-un-lft-identity_binary64_1799
61×add-sqr-sqrt_binary64_1821 times-frac_binary64_1805
52×add-cbrt-cube_binary64_1835 add-exp-log_binary64_1837
48×associate-*r*_binary64_1739
39×add-cube-cbrt_binary64_1834
24×distribute-lft-out_binary64_1750
18×div-exp_binary64_1850 cbrt-undiv_binary64_1833
16×prod-exp_binary64_1848 cbrt-unprod_binary64_1832
13×associate-*l*_binary64_1740
10×associate-/r/_binary64_1745
pow1_binary64_1860
associate-/r*_binary64_1743
associate-/l*_binary64_1744 difference-of-squares_binary64_1768
div-inv_binary64_1796 flip3-+_binary64_1802 flip-+_binary64_1773
add-log-exp_binary64_1838 unswap-sqr_binary64_1767
associate-*r/_binary64_1741 difference-of-sqr-1_binary64_1769 associate-/l/_binary64_1746 distribute-lft-out--_binary64_1751
clear-num_binary64_1798 frac-2neg_binary64_1810 *-commutative_binary64_1730 pow-prod-down_binary64_1870
flip--_binary64_1774 flip3--_binary64_1803 frac-times_binary64_1809 associate-*l/_binary64_1742
Counts
4 → 174
Calls

4 calls:

50.0ms
(*.f64 (/.f64 (*.f64 i (/.f64 (+.f64 i (+.f64 alpha beta)) (+.f64 (+.f64 alpha beta) (*.f64 i 2)))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 i 2)) 1)) (/.f64 (+.f64 (*.f64 alpha 1/4) (+.f64 (*.f64 i 1/2) (*.f64 beta 1/4))) (-.f64 (+.f64 (+.f64 alpha beta) (*.f64 i 2)) 1)))
28.0ms
(/.f64 (*.f64 i (/.f64 (+.f64 i (+.f64 alpha beta)) (+.f64 (+.f64 alpha beta) (*.f64 i 2)))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 i 2)) 1))
20.0ms
(*.f64 i (/.f64 (+.f64 i (+.f64 alpha beta)) (+.f64 (+.f64 alpha beta) (*.f64 i 2))))
14.0ms
(/.f64 (+.f64 i (+.f64 alpha beta)) (+.f64 (+.f64 alpha beta) (*.f64 i 2)))

series872.0ms (4.5%)

Counts
4 → 12
Calls

4 calls:

445.0ms
(*.f64 (/.f64 (*.f64 i (/.f64 (+.f64 i (+.f64 alpha beta)) (+.f64 (+.f64 alpha beta) (*.f64 i 2)))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 i 2)) 1)) (/.f64 (+.f64 (*.f64 alpha 1/4) (+.f64 (*.f64 i 1/2) (*.f64 beta 1/4))) (-.f64 (+.f64 (+.f64 alpha beta) (*.f64 i 2)) 1)))
215.0ms
(/.f64 (*.f64 i (/.f64 (+.f64 i (+.f64 alpha beta)) (+.f64 (+.f64 alpha beta) (*.f64 i 2)))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 i 2)) 1))
116.0ms
(*.f64 i (/.f64 (+.f64 i (+.f64 alpha beta)) (+.f64 (+.f64 alpha beta) (*.f64 i 2))))
96.0ms
(/.f64 (+.f64 i (+.f64 alpha beta)) (+.f64 (+.f64 alpha beta) (*.f64 i 2)))

simplify117.0ms (0.6%)

Algorithm
egg-herbie
Counts
186 → 186
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
049667764
149667764

prune646.0ms (3.3%)

Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New1815186
Fresh055
Picked101
Done011
Total18211193

Merged error: 1.5b

Counts
193 → 11
Compiler

Compiled 14847 to 8317 computations (44% saved)

regimes138.0ms (0.7%)

Compiler

Compiled 1776 to 1095 computations (38.3% saved)

bsearch44.0ms (0.2%)

Steps
ItersRangePoint
9
1.4860734311042902e+124
7.383666702815752e+131
4.235675601254117e+130
Compiler

Compiled 1 to 3 computations (-200% saved)

simplify3.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
062162
162162

end0.0ms (0%)

sample1.4s (7.3%)

Algorithm
intervals
Results
645.0ms8000×body128valid
182.0ms8000×pre128true
Compiler

Compiled 761 to 457 computations (39.9% saved)

Profiling

Loading profile data...