Details

Time bar (total: 1.3min)

analyze7.0ms

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

sample27.0ms

Algorithm
intervals
Results
18.0ms256×body80valid
3.0ms256×pre80true

simplify120.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (105.0ms)

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))))
0.6b
(/.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
add-exp-log_binary64 add-cbrt-cube_binary64
associate-/l*_binary64
associate-/r*_binary64
distribute-lft-out_binary64
cbrt-undiv_binary64 div-exp_binary64
add-log-exp_binary64 pow1_binary64 associate-/r/_binary64 clear-num_binary64 frac-2neg_binary64 div-inv_binary64 insert-posit16
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))

series4.1s

Counts
2 → 6
Calls
2 calls:
3.4s
(/.f64 1/4 (+.f64 4 (/.f64 -1 (*.f64 i i))))
744.0ms
(/.f64 -1 (*.f64 i i))
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
03667900
13667900
03667900
13667900
013
113
0160011409
1160011409
0160011409
1160011409
049803
149803

simplify132.0ms

Counts
62 → 62
Iterations

Useful iterations: 0 (110.0ms)

IterNodesCost
05177867

prune47.0ms

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

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New59362
Fresh011
Picked011
Done000
Total59564

Merged error: 0.1b

Counts
64 → 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))
0.6b
(/.f64 -1 (*.f64 i i))

rewrite49.0ms

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
cbrt-undiv_binary64 div-exp_binary64
associate-/l*_binary64
div-inv_binary64
add-log-exp_binary64 pow1_binary64 cbrt-unprod_binary64 clear-num_binary64 prod-exp_binary64 frac-2neg_binary64 insert-posit16
associate-/l/_binary64
flip3-+_binary64 associate-/r/_binary64 flip-+_binary64
Counts
3 → 148
Calls
3 calls:
22.0ms
(/.f64 (*.f64 (cbrt.f64 1/4) (cbrt.f64 1/4)) (/.f64 (+.f64 (/.f64 -1 (*.f64 i i)) 4) (cbrt.f64 1/4)))
14.0ms
(/.f64 (+.f64 (/.f64 -1 (*.f64 i i)) 4) (cbrt.f64 1/4))
6.0ms
(/.f64 -1 (*.f64 i i))

series8.1s

Counts
3 → 9
Calls
3 calls:
4.0s
(/.f64 (*.f64 (cbrt.f64 1/4) (cbrt.f64 1/4)) (/.f64 (+.f64 (/.f64 -1 (*.f64 i i)) 4) (cbrt.f64 1/4)))
3.3s
(/.f64 (+.f64 (/.f64 -1 (*.f64 i i)) 4) (cbrt.f64 1/4))
745.0ms
(/.f64 -1 (*.f64 i i))
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
03667900
13667900
03667900
13667900
013
113
0162921769
1162921769
0162921769
1162921769
0323
1323
0173701782
1173701782
0173701782
1173701782
050733

simplify138.0ms

Counts
157 → 157
Iterations

Useful iterations: 0 (91.0ms)

IterNodesCost
050003704

prune175.0ms

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

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1561157
Fresh033
Picked011
Done011
Total1566162

Merged error: 0.1b

Counts
162 → 6

localize9.0ms

Local error

Found 3 expressions with local error:

0.1b
(/.f64 (/.f64 -1 i) i)
0.2b
(/.f64 (*.f64 (cbrt.f64 1/4) (cbrt.f64 1/4)) (/.f64 (+.f64 (/.f64 (/.f64 -1 i) i) 4) (cbrt.f64 1/4)))
0.6b
(/.f64 (+.f64 (/.f64 (/.f64 -1 i) i) 4) (cbrt.f64 1/4))

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
175×times-frac_binary64
130×*-un-lft-identity_binary64
92×add-cube-cbrt_binary64 add-sqr-sqrt_binary64
39×cbrt-prod_binary64
37×associate-/r*_binary64
22×add-exp-log_binary64
19×distribute-lft-out_binary64
18×associate-/l*_binary64
15×add-cbrt-cube_binary64
10×cbrt-undiv_binary64 div-exp_binary64
div-inv_binary64
associate-/l/_binary64 add-log-exp_binary64 pow1_binary64 clear-num_binary64 frac-2neg_binary64 insert-posit16
cbrt-unprod_binary64 prod-exp_binary64
flip3-+_binary64 associate-/r/_binary64 flip-+_binary64
Counts
3 → 197
Calls
3 calls:
8.0ms
(/.f64 (/.f64 -1 i) i)
30.0ms
(/.f64 (*.f64 (cbrt.f64 1/4) (cbrt.f64 1/4)) (/.f64 (+.f64 (/.f64 (/.f64 -1 i) i) 4) (cbrt.f64 1/4)))
25.0ms
(/.f64 (+.f64 (/.f64 (/.f64 -1 i) i) 4) (cbrt.f64 1/4))

series24.5s

Counts
3 → 9
Calls
3 calls:
8.8s
(/.f64 (/.f64 -1 i) i)
8.9s
(/.f64 (*.f64 (cbrt.f64 1/4) (cbrt.f64 1/4)) (/.f64 (+.f64 (/.f64 (/.f64 -1 i) i) 4) (cbrt.f64 1/4)))
6.7s
(/.f64 (+.f64 (/.f64 (/.f64 -1 i) i) 4) (cbrt.f64 1/4))
Iterations

Useful iterations: 0 (26.0ms)

IterNodesCost
0341681713
1341681713
0341681713
1341681713
0323
1323
0371581728
1371581728
0371581728
1371581728
0498229
1498229
036027112
136027112
036027112
136027112
0617033

simplify132.0ms

Counts
206 → 206
Iterations

Useful iterations: 0 (75.0ms)

IterNodesCost
049724811
149724811

prune264.0ms

Filtered
152 candidates to 206 candidates (-35.5%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New2051206
Fresh033
Picked101
Done022
Total2066212

Merged error: 0.1b

Counts
212 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b
(/.f64 (/.f64 -1 i) i)
0.2b
(/.f64 (cbrt.f64 1/4) (+.f64 (/.f64 (/.f64 -1 i) i) 4))
0.2b
(/.f64 (*.f64 (cbrt.f64 1/4) (cbrt.f64 1/4)) (/.f64 1 (/.f64 (cbrt.f64 1/4) (+.f64 (/.f64 (/.f64 -1 i) i) 4))))
0.7b
(/.f64 1 (/.f64 (cbrt.f64 1/4) (+.f64 (/.f64 (/.f64 -1 i) i) 4)))

rewrite146.0ms

Algorithm
rewrite-expression-head
Rules
704×times-frac_binary64
440×*-un-lft-identity_binary64
306×add-cube-cbrt_binary64 add-sqr-sqrt_binary64
135×cbrt-prod_binary64
132×associate-/r*_binary64
67×distribute-lft-out_binary64 add-exp-log_binary64
39×div-exp_binary64
27×add-cbrt-cube_binary64
26×associate-/r/_binary64
23×associate-/l*_binary64
20×div-inv_binary64
19×cbrt-undiv_binary64
11×flip3-+_binary64 flip-+_binary64
prod-exp_binary64
1-exp_binary64 rec-exp_binary64
pow1_binary64
add-log-exp_binary64 clear-num_binary64 frac-2neg_binary64 insert-posit16
cbrt-unprod_binary64
associate-/l/_binary64 inv-pow_binary64 pow-flip_binary64
Counts
4 → 488
Calls
4 calls:
8.0ms
(/.f64 (/.f64 -1 i) i)
26.0ms
(/.f64 (cbrt.f64 1/4) (+.f64 (/.f64 (/.f64 -1 i) i) 4))
43.0ms
(/.f64 (*.f64 (cbrt.f64 1/4) (cbrt.f64 1/4)) (/.f64 1 (/.f64 (cbrt.f64 1/4) (+.f64 (/.f64 (/.f64 -1 i) i) 4))))
28.0ms
(/.f64 1 (/.f64 (cbrt.f64 1/4) (+.f64 (/.f64 (/.f64 -1 i) i) 4)))

series38.7s

Counts
4 → 12
Calls
4 calls:
10.2s
(/.f64 (/.f64 -1 i) i)
7.7s
(/.f64 (cbrt.f64 1/4) (+.f64 (/.f64 (/.f64 -1 i) i) 4))
10.3s
(/.f64 (*.f64 (cbrt.f64 1/4) (cbrt.f64 1/4)) (/.f64 1 (/.f64 (cbrt.f64 1/4) (+.f64 (/.f64 (/.f64 -1 i) i) 4))))
10.4s
(/.f64 1 (/.f64 (cbrt.f64 1/4) (+.f64 (/.f64 (/.f64 -1 i) i) 4)))
Iterations

Useful iterations: 0 (26.0ms)

IterNodesCost
0372511709
1372511709
0356271709
1356271709
0323
1323
0349481728
1349481728
0349481728
1349481728
0498229
1498229
0344191692
1344191692
0344191692
1344191692
0490637
1490637
036027112
136027112
036027112
136027112
0617033

simplify205.0ms

Counts
500 → 500
Iterations

Useful iterations: 0 (68.0ms)

IterNodesCost
0519314476

prune856.0ms

Filtered
312 candidates to 500 candidates (-60.3%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New4991500
Fresh123
Picked101
Done022
Total5015506

Merged error: 0.1b

Counts
506 → 5

regimes14.0ms

Accuracy

0% (0.0b remaining)

Error of 0.3b against oracle of 0.2b and baseline of 0.3b

bsearch0.0ms

simplify8.0ms

Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
01013
11013

end0.0ms

sample600.0ms

Algorithm
intervals
Results
395.0ms8000×body80valid
92.0ms8000×pre80true

Profiling

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