Details

Time bar (total: 5.6s)

analyze1.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
100%0%0%2

sample9.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify19.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
0910
1910

prune1.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 15.2b

Counts
2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

15.2b
(/.f64 x (+.f64 (*.f64 x x) 1))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt_binary64_1762 add-cube-cbrt_binary64_1748 times-frac_binary64_1772 *-un-lft-identity_binary64_1777
associate-/l*_binary64_1841 add-cbrt-cube_binary64_1749 associate-/r*_binary64_1840 add-exp-log_binary64_1741
associate-/r/_binary64_1842
cbrt-undiv_binary64_1747 div-exp_binary64_1726 clear-num_binary64_1780 div-inv_binary64_1778 pow1_binary64_1719 flip-+_binary64_1802 add-log-exp_binary64_1742 frac-2neg_binary64_1770 flip3-+_binary64_1775
Counts
1 → 29
Calls
1 calls:
8.0ms
(/.f64 x (+.f64 (*.f64 x x) 1))

series263.0ms

Counts
1 → 3
Calls
1 calls:
263.0ms
(/.f64 x (+.f64 (*.f64 x x) 1))
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
013299
113299
013299
113299
013
113

simplify86.0ms

Counts
32 → 32
Iterations

Useful iterations: 0 (67.0ms)

IterNodesCost
05041496

prune26.0ms

Filtered
25 candidates to 32 candidates (-28.0%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New30232
Fresh000
Picked011
Done000
Total30333

Merged error: 15.2b

Counts
33 → 3

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b
(/.f64 (/.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))) (sqrt.f64 (+.f64 (*.f64 x x) 1)))
0.0b
(/.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
15.2b
(sqrt.f64 (+.f64 (*.f64 x x) 1))
15.2b
(sqrt.f64 (+.f64 (*.f64 x x) 1))

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
288×times-frac_binary64_1772
164×add-sqr-sqrt_binary64_1762
162×add-cube-cbrt_binary64_1748 *-un-lft-identity_binary64_1777
156×sqrt-prod_binary64_1756
27×associate-/l*_binary64_1841
22×sqrt-div_binary64_1757
18×associate-/r/_binary64_1842
12×associate-/r*_binary64_1840
11×add-cbrt-cube_binary64_1749 flip-+_binary64_1802 flip3-+_binary64_1775 add-exp-log_binary64_1741
div-inv_binary64_1778
pow1_binary64_1719
cbrt-undiv_binary64_1747 div-exp_binary64_1726 add-log-exp_binary64_1742
clear-num_binary64_1780 pow1/2_binary64_1709 frac-2neg_binary64_1770 rem-sqrt-square_binary64_1765 sqrt-pow1_binary64_1758
associate-/l/_binary64_1843
Counts
4 → 262
Calls
4 calls:
22.0ms
(/.f64 (/.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))) (sqrt.f64 (+.f64 (*.f64 x x) 1)))
10.0ms
(/.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
6.0ms
(sqrt.f64 (+.f64 (*.f64 x x) 1))
6.0ms
(sqrt.f64 (+.f64 (*.f64 x x) 1))

series1.2s

Counts
4 → 12
Calls
4 calls:
563.0ms
(/.f64 (/.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))) (sqrt.f64 (+.f64 (*.f64 x x) 1)))
288.0ms
(/.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
166.0ms
(sqrt.f64 (+.f64 (*.f64 x x) 1))
168.0ms
(sqrt.f64 (+.f64 (*.f64 x x) 1))
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
07889
17889
07889
17889
013
113
07889
17889
07889
17889
013
113
015719
115719
015719
115719
013
113
029669
129669
029669
129669
013
113

simplify160.0ms

Counts
274 → 274
Iterations

Useful iterations: 0 (77.0ms)

IterNodesCost
051178352

prune171.0ms

Filtered
139 candidates to 274 candidates (-97.1%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New2740274
Fresh011
Picked011
Done011
Total2743277

Merged error: 15.2b

Counts
277 → 3

localize5.0ms

Local error

Found 2 expressions with local error:

0.1b
(/.f64 1 (/.f64 (+.f64 (*.f64 x x) 1) x))
15.2b
(/.f64 (+.f64 (*.f64 x x) 1) x)

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac_binary64_1772
52×add-sqr-sqrt_binary64_1762 add-cube-cbrt_binary64_1748 *-un-lft-identity_binary64_1777
16×associate-/r*_binary64_1840
15×add-exp-log_binary64_1741
add-cbrt-cube_binary64_1749
div-exp_binary64_1726
associate-/l*_binary64_1841 div-inv_binary64_1778
cbrt-undiv_binary64_1747
pow1_binary64_1719
clear-num_binary64_1780 rec-exp_binary64_1725 add-log-exp_binary64_1742 frac-2neg_binary64_1770 1-exp_binary64_1737 associate-/l/_binary64_1843
pow-flip_binary64_1703 flip-+_binary64_1802 inv-pow_binary64_1695 flip3-+_binary64_1775 associate-/r/_binary64_1842
Counts
2 → 105
Calls
2 calls:
11.0ms
(/.f64 1 (/.f64 (+.f64 (*.f64 x x) 1) x))
8.0ms
(/.f64 (+.f64 (*.f64 x x) 1) x)

series3.0s

Counts
2 → 6
Calls
2 calls:
1.4s
(/.f64 1 (/.f64 (+.f64 (*.f64 x x) 1) x))
1.6s
(/.f64 (+.f64 (*.f64 x x) 1) x)
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
0245769
1245769
0245769
1245769
013
113
0156349
1156349
0156349
1156349
013
113

simplify248.0ms

Counts
111 → 111
Iterations

Useful iterations: 0 (213.0ms)

IterNodesCost
051392160

prune68.0ms

Filtered
72 candidates to 111 candidates (-54.2%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1110111
Fresh000
Picked011
Done022
Total1113114

Merged error: 15.2b

Counts
114 → 3

regimes19.0ms

Accuracy

0% (0.0b remaining)

Error of 14.9b against oracle of 14.9b and baseline of 14.9b

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01123
11123

end0.0ms

sample250.0ms

Algorithm
intervals
Results
161.0ms8000×body80valid

Profiling

Loading profile data...