Details

Time bar (total: 10.1s)

sample26.0ms

Algorithm
intervals
Results
8.0ms251×body80nan
7.0ms260×body80valid

simplify2.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
034
144
done44

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.3b

Counts
2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

0.3b
(* x (log x))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt
log-prod
add-cube-cbrt *-un-lft-identity
pow1 associate-*r*
add-exp-log distribute-rgt-in distribute-lft-in associate-*l* add-cbrt-cube
pow-prod-down prod-exp log-pow *-commutative cbrt-unprod add-log-exp unswap-sqr
Counts
1 → 25
Calls
1 calls:
5.0ms
(* x (log x))

series17.0ms

Counts
1 → 3
Calls
1 calls:
17.0ms
(* x (log x))

simplify3.4s

Counts
28 → 28
Iterations

Useful iterations: 3 (91.0ms)

IterNodesCost
055207
196197
2175168
3421163
41164163
54391163
done5001163

prune48.0ms

Filtered
16 candidates to 28 candidates (-75.0%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New20828
Fresh000
Picked011
Done000
Total20929

Merged error: 0.0b

Counts
29 → 9

localize9.0ms

Local error

Found 4 expressions with local error:

0.3b
(* x (log (cbrt x)))
0.3b
(+ (* (* 2 (log (cbrt x))) x) (* x (log (cbrt x))))
0.5b
(cbrt x)
0.5b
(cbrt x)

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
24×log-prod
18×cbrt-prod add-sqr-sqrt
16×add-cube-cbrt *-un-lft-identity
12×distribute-rgt-in associate-+r+ distribute-lft-in
pow1
add-exp-log add-cbrt-cube add-log-exp
associate-*r*
pow1/3 associate-*l*
log-pow
+-commutative flip3-+ pow-prod-down prod-exp sum-log *-commutative cbrt-unprod flip-+ unswap-sqr
Counts
4 → 77
Calls
4 calls:
5.0ms
(* x (log (cbrt x)))
8.0ms
(+ (* (* 2 (log (cbrt x))) x) (* x (log (cbrt x))))
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series157.0ms

Counts
4 → 12
Calls
4 calls:
53.0ms
(* x (log (cbrt x)))
52.0ms
(+ (* (* 2 (log (cbrt x))) x) (* x (log (cbrt x))))
23.0ms
(cbrt x)
28.0ms
(cbrt x)

simplify2.2s

Counts
89 → 89
Iterations

Useful iterations: done (2.2s)

IterNodesCost
0124955
1266877
2631713
32165663
done5000661

prune108.0ms

Filtered
62 candidates to 89 candidates (-43.5%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New85489
Fresh347
Picked101
Done011
Total89998

Merged error: 0b

Counts
98 → 9

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt x)
0.6b
(cbrt (cbrt x))
0.6b
(cbrt (cbrt x))
0.6b
(cbrt (cbrt x))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
30×cbrt-prod
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 53
Calls
4 calls:
1.0ms
(cbrt x)
2.0ms
(cbrt (cbrt x))
2.0ms
(cbrt (cbrt x))
2.0ms
(cbrt (cbrt x))

series124.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(cbrt x)
32.0ms
(cbrt (cbrt x))
35.0ms
(cbrt (cbrt x))
33.0ms
(cbrt (cbrt x))

simplify1.9s

Counts
65 → 65
Iterations

Useful iterations: 5 (702.0ms)

IterNodesCost
053449
1100420
2162374
3326343
4813331
52888323
done5001323

prune94.0ms

Filtered
49 candidates to 65 candidates (-32.7%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New65065
Fresh077
Picked011
Done011
Total65974

Merged error: 0b

Counts
74 → 9

localize6.0ms

Local error

Found 2 expressions with local error:

0.3b
(* (sqrt x) (log x))
0.3b
(* (sqrt x) (* (sqrt x) (log x)))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
18×log-prod
17×add-sqr-sqrt
15×distribute-rgt-in distribute-lft-in
13×add-cube-cbrt *-un-lft-identity
12×associate-*l*
10×pow1
add-exp-log add-cbrt-cube
sqrt-prod
associate-*r*
pow-prod-down prod-exp cbrt-unprod
*-commutative add-log-exp unswap-sqr
log-pow
Counts
2 → 62
Calls
2 calls:
6.0ms
(* (sqrt x) (log x))
8.0ms
(* (sqrt x) (* (sqrt x) (log x)))

series24.0ms

Counts
2 → 6
Calls
2 calls:
10.0ms
(* (sqrt x) (log x))
15.0ms
(* (sqrt x) (* (sqrt x) (log x)))

simplify1.2s

Counts
68 → 68
Iterations

Useful iterations: done (1.2s)

IterNodesCost
0167955
1402741
21330635
done5000603

prune55.0ms

Filtered
40 candidates to 68 candidates (-70.0%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New68068
Fresh066
Picked011
Done022
Total68977

Merged error: 0b

Counts
77 → 9

regimes96.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034
144
done44

end0.0ms

sample606.0ms

Algorithm
intervals
Results
201.0ms8047×body80valid
142.0ms8110×body80nan

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