Details

Time bar (total: 18.1s)

analyze6.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%50%50%0
0%50%50%1
0%50%50%2
0%50%50%3
37.5%12.5%50%4
43.7%6.2%50%5
46.9%3.1%50%6
48.4%1.6%50%7
49.2%0.8%50%8
49.6%0.4%50%9
49.8%0.2%50%10
49.9%0.1%50%11
49.9%0%50%12
50%0%50%13
50%0%50%14

sample25.0ms

Algorithm
intervals
Results
16.0ms256×body80valid
3.0ms256×pre80true

simplify118.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (104.0ms)

IterNodesCost
0520013

prune5.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 2

localize5.0ms

Local error

Found 2 expressions with local error:

0.2b
(/.f64 1/4 (+.f64 4 (/.f64 -1 (*.f64 i i))))
0.9b
(/.f64 -1 (*.f64 i i))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
21×*-un-lft-identity_binary64
15×times-frac_binary64
13×add-cube-cbrt_binary64 add-sqr-sqrt_binary64
9×add-exp-log_binary64 add-cbrt-cube_binary64
6×associate-/l*_binary64
5×associate-/r*_binary64
4×distribute-lft-out_binary64
3×cbrt-undiv_binary64 div-exp_binary64
2×add-log-exp_binary64 pow1_binary64 associate-/r/_binary64 clear-num_binary64 frac-2neg_binary64 div-inv_binary64 insert-posit16
1×flip3-+_binary64 cbrt-unprod_binary64 prod-exp_binary64 flip-+_binary64
Counts
2 → 56
Calls
2 calls:
8.0ms
(/.f64 1/4 (+.f64 4 (/.f64 -1 (*.f64 i i))))
6.0ms
(/.f64 -1 (*.f64 i i))

series1.4s

Counts
2 → 6
Calls
2 calls:
1.2s
(/.f64 1/4 (+.f64 4 (/.f64 -1 (*.f64 i i))))
203.0ms
(/.f64 -1 (*.f64 i i))
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
010049
110049
010049
110049
013
113
0271299
0271299
013
113

simplify134.0ms

Counts
62 → 62
Iterations

Useful iterations: 0 (111.0ms)

IterNodesCost
05177867

prune54.0ms

Filtered
45 candidates to 62 candidates (-37.8%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New57562
Fresh011
Picked101
Done000
Total58664

Merged error: 0.1b

Counts
64 → 6

localize6.0ms

Local error

Found 2 expressions with local error:

0.1b
(/.f64 (/.f64 -1 i) i)
0.2b
(/.f64 1/4 (+.f64 4 (/.f64 (/.f64 -1 i) i)))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
87×times-frac_binary64
61×*-un-lft-identity_binary64
53×add-cube-cbrt_binary64 add-sqr-sqrt_binary64
16×associate-/l*_binary64
9×add-exp-log_binary64 add-cbrt-cube_binary64
7×associate-/r*_binary64
6×div-inv_binary64
4×distribute-lft-out_binary64 cbrt-undiv_binary64 div-exp_binary64
2×add-log-exp_binary64 pow1_binary64 associate-/r/_binary64 clear-num_binary64 frac-2neg_binary64 insert-posit16
1×flip3-+_binary64 associate-/l/_binary64 flip-+_binary64
Counts
2 → 105
Calls
2 calls:
8.0ms
(/.f64 (/.f64 -1 i) i)
18.0ms
(/.f64 1/4 (+.f64 4 (/.f64 (/.f64 -1 i) i)))

series4.5s

Counts
2 → 6
Calls
2 calls:
2.1s
(/.f64 (/.f64 -1 i) i)
2.4s
(/.f64 1/4 (+.f64 4 (/.f64 (/.f64 -1 i) i)))
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
0253129
0253129
013
113
0252909
0252909
013
113

simplify136.0ms

Counts
111 → 111
Iterations

Useful iterations: 0 (103.0ms)

IterNodesCost
057591780

prune84.0ms

Filtered
77 candidates to 111 candidates (-44.2%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1092111
Fresh325
Picked011
Done000
Total1125117

Merged error: 0.1b

Counts
117 → 5

localize9.0ms

Local error

Found 3 expressions with local error:

0.1b
(*.f64 (*.f64 (cbrt.f64 1/4) (cbrt.f64 1/4)) (/.f64 (cbrt.f64 1/4) (+.f64 4 (/.f64 (/.f64 -1 i) i))))
0.1b
(/.f64 (/.f64 -1 i) i)
0.2b
(/.f64 (cbrt.f64 1/4) (+.f64 4 (/.f64 (/.f64 -1 i) i)))

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
125×times-frac_binary64
103×*-un-lft-identity_binary64
82×add-sqr-sqrt_binary64
77×add-cube-cbrt_binary64
30×associate-*r*_binary64
28×cbrt-prod_binary64
22×add-exp-log_binary64
19×associate-/l*_binary64
15×add-cbrt-cube_binary64
13×distribute-lft-out_binary64
8×pow1_binary64
7×associate-/r*_binary64 div-inv_binary64
6×cbrt-unprod_binary64 cbrt-undiv_binary64 prod-exp_binary64 div-exp_binary64
4×associate-/r/_binary64
3×pow-prod-down_binary64 add-log-exp_binary64 unswap-sqr_binary64 insert-posit16
2×flip3-+_binary64 clear-num_binary64 frac-2neg_binary64 flip-+_binary64
1×associate-/l/_binary64 associate-*r/_binary64 associate-*l*_binary64 *-commutative_binary64
Counts
3 → 174
Calls
3 calls:
32.0ms
(*.f64 (*.f64 (cbrt.f64 1/4) (cbrt.f64 1/4)) (/.f64 (cbrt.f64 1/4) (+.f64 4 (/.f64 (/.f64 -1 i) i))))
11.0ms
(/.f64 (/.f64 -1 i) i)
20.0ms
(/.f64 (cbrt.f64 1/4) (+.f64 4 (/.f64 (/.f64 -1 i) i)))

series8.0s

Counts
3 → 9
Calls
3 calls:
3.0s
(*.f64 (*.f64 (cbrt.f64 1/4) (cbrt.f64 1/4)) (/.f64 (cbrt.f64 1/4) (+.f64 4 (/.f64 (/.f64 -1 i) i))))
2.3s
(/.f64 (/.f64 -1 i) i)
2.7s
(/.f64 (cbrt.f64 1/4) (+.f64 4 (/.f64 (/.f64 -1 i) i)))
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
0253069
0253069
013
113
0252909
0252909
013
113
0247029
1247029
0247029
1247029
013
113

simplify139.0ms

Counts
183 → 183
Iterations

Useful iterations: 0 (95.0ms)

IterNodesCost
050803512

prune201.0ms

Filtered
127 candidates to 183 candidates (-44.1%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1830183
Fresh033
Picked011
Done011
Total1835188

Merged error: 0.1b

Counts
188 → 5

localize9.0ms

Local error

Found 3 expressions with local error:

0.2b
(/.f64 (*.f64 (cbrt.f64 1/4) (cbrt.f64 1/4)) (/.f64 (+.f64 (/.f64 -1 (*.f64 i i)) 4) (cbrt.f64 1/4)))
0.6b
(/.f64 (+.f64 (/.f64 -1 (*.f64 i i)) 4) (cbrt.f64 1/4))
0.9b
(/.f64 -1 (*.f64 i i))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
103×times-frac_binary64
90×*-un-lft-identity_binary64
52×add-cube-cbrt_binary64 add-sqr-sqrt_binary64
39×cbrt-prod_binary64
35×associate-/r*_binary64
22×add-exp-log_binary64
19×distribute-lft-out_binary64
15×add-cbrt-cube_binary64
9×cbrt-undiv_binary64 div-exp_binary64
8×associate-/l*_binary64
5×div-inv_binary64
3×add-log-exp_binary64 pow1_binary64 cbrt-unprod_binary64 clear-num_binary64 prod-exp_binary64 frac-2neg_binary64 insert-posit16
2×associate-/l/_binary64
1×flip3-+_binary64 associate-/r/_binary64 flip-+_binary64
Counts
3 → 148
Calls
3 calls:
20.0ms
(/.f64 (*.f64 (cbrt.f64 1/4) (cbrt.f64 1/4)) (/.f64 (+.f64 (/.f64 -1 (*.f64 i i)) 4) (cbrt.f64 1/4)))
16.0ms
(/.f64 (+.f64 (/.f64 -1 (*.f64 i i)) 4) (cbrt.f64 1/4))
6.0ms
(/.f64 -1 (*.f64 i i))

series2.2s

Counts
3 → 9
Calls
3 calls:
1.2s
(/.f64 (*.f64 (cbrt.f64 1/4) (cbrt.f64 1/4)) (/.f64 (+.f64 (/.f64 -1 (*.f64 i i)) 4) (cbrt.f64 1/4)))
726.0ms
(/.f64 (+.f64 (/.f64 -1 (*.f64 i i)) 4) (cbrt.f64 1/4))
205.0ms
(/.f64 -1 (*.f64 i i))
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
010049
110049
010049
110049
013
113
083589
183589
083589
183589
013
113
0179989
1179989
0179989
1179989
013
113

simplify136.0ms

Counts
157 → 157
Iterations

Useful iterations: 0 (92.0ms)

IterNodesCost
050003704

prune176.0ms

Filtered
110 candidates to 157 candidates (-42.7%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1570157
Fresh022
Picked011
Done022
Total1575162

Merged error: 0.1b

Counts
162 → 5

regimes14.0ms

Accuracy

0% (0.1b remaining)

Error of 0.4b against oracle of 0.3b and baseline of 0.4b

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
01013
11013

end0.0ms

sample574.0ms

Algorithm
intervals
Results
387.0ms8000×body80valid
80.0ms8000×pre80true

Profiling

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