Details

Time bar (total: 6.9s)

sample31.0ms

Algorithm
intervals
Results
9.0ms258×body80valid
6.0ms253×body80nan

simplify2.0ms

Counts
1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize6.0ms

Local error

Found 1 expressions with local error:

0.3b
(* x (log x))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt
6×log-prod
5×add-cube-cbrt *-un-lft-identity
4×pow1 associate-*r*
3×add-exp-log distribute-rgt-in distribute-lft-in associate-*l* add-cbrt-cube
1×pow-prod-down prod-exp log-pow *-commutative cbrt-unprod add-log-exp unswap-sqr
Counts
1 → 25
Calls
1 calls:
14.0ms
(* x (log x))

series236.0ms

Counts
1 → 3
Calls
1 calls:
236.0ms
(* x (log x))

simplify48.0ms

Counts
28 → 28

prune60.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b
(* x (log (cbrt x)))
0.3b
(+ (* x (* 2 (log (cbrt x)))) (* x (log (cbrt x))))
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
48×log-prod
36×distribute-rgt-in distribute-lft-in
30×cbrt-prod
26×add-sqr-sqrt
24×add-cube-cbrt associate-+l+ *-un-lft-identity
12×associate-+r+
7×pow1
6×add-exp-log add-cbrt-cube add-log-exp
5×associate-*r*
3×pow1/3 associate-*l*
2×log-pow
1×+-commutative flip3-+ pow-prod-down prod-exp sum-log *-commutative cbrt-unprod flip-+ distribute-lft-out unswap-sqr
Counts
4 → 102
Calls
4 calls:
10.0ms
(* x (log (cbrt x)))
40.0ms
(+ (* x (* 2 (log (cbrt x)))) (* x (log (cbrt x))))
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.8s

Counts
4 → 12
Calls
4 calls:
457.0ms
(* x (log (cbrt x)))
463.0ms
(+ (* x (* 2 (log (cbrt x)))) (* x (log (cbrt x))))
569.0ms
(cbrt x)
269.0ms
(cbrt x)

simplify37.0ms

Counts
114 → 114

prune420.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
0.7b
(cbrt (cbrt x))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-prod
9×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 47
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
2.0ms
(cbrt (cbrt x))

series1.1s

Counts
4 → 12
Calls
4 calls:
242.0ms
(cbrt x)
274.0ms
(cbrt x)
234.0ms
(cbrt x)
370.0ms
(cbrt (cbrt x))

simplify46.0ms

Counts
59 → 59

prune348.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.3b
(* x (+ (* 2 (log (cbrt x))) (log (cbrt (sqrt x)))))
0.5b
(cbrt (sqrt x))
0.5b
(cbrt (sqrt x))
0.6b
(cbrt x)

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
15×cbrt-prod
13×add-sqr-sqrt
11×add-cube-cbrt *-un-lft-identity
6×pow1 add-exp-log sqrt-prod add-cbrt-cube
4×add-log-exp
3×pow1/3 associate-*r* associate-*l*
2×associate-*r/
1×distribute-rgt-in distribute-lft-in flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ unswap-sqr
Counts
4 → 61
Calls
4 calls:
57.0ms
(* x (+ (* 2 (log (cbrt x))) (log (cbrt (sqrt x)))))
2.0ms
(cbrt (sqrt x))
2.0ms
(cbrt (sqrt x))
1.0ms
(cbrt x)

series1.3s

Counts
4 → 12
Calls
4 calls:
745.0ms
(* x (+ (* 2 (log (cbrt x))) (log (cbrt (sqrt x)))))
166.0ms
(cbrt (sqrt x))
165.0ms
(cbrt (sqrt x))
242.0ms
(cbrt x)

simplify102.0ms

Counts
73 → 73

prune286.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes36.0ms

Accuracy

-18.6% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify6.0ms

end0.0ms

sample832.0ms

Algorithm
intervals
Results
290.0ms8036×body80valid
162.0ms8060×body80nan