Details

Time bar (total: 4.8s)

sample20.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
3.0ms278×body80nan

simplify3.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
042
142
done42

prune1.0ms

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))

rewrite9.0ms

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:
8.0ms
(* x (log x))

series166.0ms

Counts
1 → 3
Calls
1 calls:
166.0ms
(* x (log x))

simplify190.0ms

Counts
30 → 30
Iterations

Useful iterations: 2 (10.0ms)

IterNodesCost
095121
1348105
2104098
3453598
4500198
done500198

prune48.0ms

Pruning

7 alts after pruning (6 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)

rewrite37.0ms

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:
22.0ms
(* x (* 2 (log (cbrt x))))
9.0ms
(* x (log (cbrt x)))
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series982.0ms

Counts
4 → 12
Calls
4 calls:
329.0ms
(* x (* 2 (log (cbrt x))))
315.0ms
(* x (log (cbrt x)))
170.0ms
(cbrt x)
168.0ms
(cbrt x)

simplify40.0ms

Counts
116 → 116
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0294668
11212589
25002567
done5002567

prune246.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.3b
(* x (log (cbrt x)))
0.3b
(* x (* 2 (log (pow x 1/3))))
0.6b
(cbrt x)
5.1b
(pow x 1/3)

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
40×log-prod
34×distribute-rgt-in distribute-lft-in
24×add-sqr-sqrt
22×add-cube-cbrt *-un-lft-identity
15×unpow-prod-down
13×pow1
12×add-exp-log
11×add-cbrt-cube
9×cbrt-prod
6×associate-*r* associate-*l*
5×sqr-pow
4×expm1-log1p-u pow-prod-down prod-exp cbrt-unprod log1p-expm1-u add-log-exp
3×pow-unpow
2×pow1/3 log-pow *-commutative
1×pow-to-exp pow-pow unpow1/3 pow-exp unswap-sqr
Counts
4 → 115
Calls
4 calls:
9.0ms
(* x (log (cbrt x)))
22.0ms
(* x (* 2 (log (pow x 1/3))))
1.0ms
(cbrt x)
2.0ms
(pow x 1/3)

series989.0ms

Counts
4 → 12
Calls
4 calls:
322.0ms
(* x (log (cbrt x)))
323.0ms
(* x (* 2 (log (pow x 1/3))))
173.0ms
(cbrt x)
170.0ms
(pow x 1/3)

simplify57.0ms

Counts
127 → 127
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
0409701
11740551
25001511
done5001511

prune250.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 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 x)

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×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 → 52
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
4.0ms
(cbrt x)

series714.0ms

Counts
4 → 12
Calls
4 calls:
178.0ms
(cbrt x)
177.0ms
(cbrt x)
177.0ms
(cbrt x)
182.0ms
(cbrt x)

simplify133.0ms

Counts
64 → 64
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
042172
183160
2195152
3699152
44132152
55001152
done5001152

prune263.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes52.0ms

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
042
142
done42

end0.0ms

sample461.0ms

Algorithm
intervals
Results
150.0ms8034×body80valid
96.0ms8060×body80nan