Details

Time bar (total: 6.6s)

sample22.0ms

Algorithm
intervals
Results
6.0ms259×body80valid
4.0ms273×body80nan

simplify1.0ms

Counts
1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize6.0ms

Local error

Found 1 expressions with local error:

0.2b
(* x (log x))

rewrite14.0ms

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:
13.0ms
(* x (log x))

series281.0ms

Counts
1 → 3
Calls
1 calls:
281.0ms
(* x (log x))

simplify46.0ms

Counts
28 → 28

prune56.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

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)

series1.4s

Counts
4 → 12
Calls
4 calls:
446.0ms
(* x (log (cbrt x)))
465.0ms
(+ (* x (* 2 (log (cbrt x)))) (* x (log (cbrt x))))
277.0ms
(cbrt x)
201.0ms
(cbrt x)

simplify41.0ms

Counts
114 → 114

prune420.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

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

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
27×cbrt-prod
21×log-prod
16×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
12×associate-+l+
9×associate-+r+ sqrt-prod
6×distribute-rgt-in distribute-lft-in
5×add-log-exp
4×pow1 add-exp-log add-cbrt-cube
3×pow1/3
1×+-commutative flip3-+ sum-log flip-+
Counts
4 → 71
Calls
4 calls:
15.0ms
(+ (* 2 (log (cbrt x))) (log (cbrt (sqrt x))))
2.0ms
(cbrt (sqrt x))
2.0ms
(cbrt (sqrt x))
1.0ms
(cbrt x)

series1.2s

Counts
4 → 12
Calls
4 calls:
488.0ms
(+ (* 2 (log (cbrt x))) (log (cbrt (sqrt x))))
212.0ms
(cbrt (sqrt x))
233.0ms
(cbrt (sqrt x))
296.0ms
(cbrt x)

simplify68.0ms

Counts
83 → 83

prune468.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.7b
(cbrt (cbrt x))
0.7b
(cbrt (cbrt x))
5.0b
(pow x 1/3)

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
21×cbrt-prod
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
5×pow1 add-exp-log
4×add-cbrt-cube add-log-exp
3×unpow-prod-down pow-unpow pow1/3
1×pow-to-exp pow-pow unpow1/3 pow-exp sqr-pow
Counts
4 → 57
Calls
4 calls:
1.0ms
(cbrt x)
2.0ms
(cbrt (cbrt x))
2.0ms
(cbrt (cbrt x))
4.0ms
(pow x 1/3)

series1.1s

Counts
4 → 12
Calls
4 calls:
230.0ms
(cbrt x)
381.0ms
(cbrt (cbrt x))
293.0ms
(cbrt (cbrt x))
245.0ms
(pow x 1/3)

simplify82.0ms

Counts
69 → 69

prune274.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0.0b

regimes65.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify2.0ms

end0.0ms

sample785.0ms

Algorithm
intervals
Results
253.0ms8037×body80valid
177.0ms8097×body80nan