Details

Time bar (total: 4.7s)

sample18.0ms

Algorithm
intervals
Results
5.0ms256×body80valid
3.0ms267×body80nan

simplify3.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
042
142
done42

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize4.0ms

Local error

Found 1 expressions with local error:

0.3b
(* x (log x))

rewrite10.0ms

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×expm1-log1p-u pow-prod-down prod-exp log-pow *-commutative cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 27
Calls
1 calls:
9.0ms
(* x (log x))

series173.0ms

Counts
1 → 3
Calls
1 calls:
173.0ms
(* x (log x))

simplify191.0ms

Counts
30 → 30
Iterations

Useful iterations: 2 (10.0ms)

IterNodesCost
095121
1348105
2104098
3453598
4500198
done500198

prune48.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
36×log-prod
30×distribute-rgt-in distribute-lft-in
24×cbrt-prod
23×add-sqr-sqrt
21×add-cube-cbrt *-un-lft-identity
12×pow1
11×add-exp-log add-cbrt-cube
6×associate-*r* associate-*l*
4×expm1-log1p-u pow-prod-down prod-exp cbrt-unprod log1p-expm1-u add-log-exp
3×pow1/3
2×log-pow *-commutative
1×unswap-sqr
Counts
4 → 104
Calls
4 calls:
21.0ms
(* x (* 2 (log (cbrt x))))
12.0ms
(* x (log (cbrt x)))
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.0s

Counts
4 → 12
Calls
4 calls:
335.0ms
(* x (* 2 (log (cbrt x))))
322.0ms
(* x (log (cbrt x)))
173.0ms
(cbrt x)
170.0ms
(cbrt x)

simplify40.0ms

Counts
116 → 116
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0294668
11212589
25002567
done5002567

prune248.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-prod
9×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 55
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt (cbrt x))

series773.0ms

Counts
4 → 12
Calls
4 calls:
178.0ms
(cbrt x)
175.0ms
(cbrt x)
179.0ms
(cbrt x)
241.0ms
(cbrt (cbrt x))

simplify48.0ms

Counts
67 → 67
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
075209
1145195
2361187
31382187
45002187
done5002187

prune283.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b
(* x (* 2 (log (cbrt x))))
0.3b
(* x 1/3)
0.4b
(* (* x 1/3) (log x))
0.6b
(cbrt x)

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
30×log-prod
27×distribute-rgt-in distribute-lft-in
21×add-sqr-sqrt
19×add-cube-cbrt *-un-lft-identity
17×pow1
16×add-exp-log add-cbrt-cube
15×cbrt-prod
8×associate-*r*
7×associate-*l* pow-prod-down prod-exp cbrt-unprod
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×*-commutative
1×pow1/3 log-pow unswap-sqr
Counts
4 → 104
Calls
4 calls:
21.0ms
(* x (* 2 (log (cbrt x))))
10.0ms
(* x 1/3)
18.0ms
(* (* x 1/3) (log x))
1.0ms
(cbrt x)

series725.0ms

Counts
4 → 12
Calls
4 calls:
344.0ms
(* x (* 2 (log (cbrt x))))
14.0ms
(* x 1/3)
193.0ms
(* (* x 1/3) (log x))
174.0ms
(cbrt x)

simplify57.0ms

Counts
116 → 116
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
0407621
11917534
25002506
done5002506

prune228.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

regimes68.0ms

Accuracy

0% (0.3b 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
042
142
done42

end0.0ms

sample631.0ms

Algorithm
intervals
Results
312.0ms8033×body80valid
95.0ms7858×body80nan