Details

Time bar (total: 13.8s)

sample29.0ms

Algorithm
intervals
Results
9.0ms259×body80valid
6.0ms254×body80nan

simplify2.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03111
14111
done4111

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize8.0ms

Local error

Found 1 expressions with local error:

0.3b
(* x (log x))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt
6×log-prod
5×*-un-lft-identity add-cube-cbrt
4×pow1 associate-*r*
3×distribute-rgt-in distribute-lft-in add-cbrt-cube associate-*l* add-exp-log
1×pow-prod-down prod-exp log-pow *-commutative cbrt-unprod add-log-exp unswap-sqr
Counts
1 → 25
Calls
1 calls:
10.0ms
(* x (log x))

series275.0ms

Counts
1 → 3
Calls
1 calls:
275.0ms
(* x (log x))

simplify1.6s

Counts
28 → 28
Iterations

Useful iterations: 3 (661.0ms)

IterNodesCost
0535601
11075377
22905295
315854984
done50004984

prune107.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt x) (cbrt x))
0.5b
(cbrt x)
0.5b
(cbrt x)
0.5b
(cbrt x)

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×pow1/3
6×swap-sqr associate-*r* associate-*l* add-exp-log
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
14.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.0s

Counts
4 → 12
Calls
4 calls:
320.0ms
(* (cbrt x) (cbrt x))
249.0ms
(cbrt x)
266.0ms
(cbrt x)
214.0ms
(cbrt x)

simplify1.4s

Counts
85 → 85
Iterations

Useful iterations: done (1.4s)

IterNodesCost
06117134
113814621
272714346
done500013666

prune350.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt x) (cbrt x))
0.5b
(cbrt x)
0.5b
(cbrt x)
5.0b
(pow x 1/3)

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
22×cbrt-prod
16×*-un-lft-identity add-cube-cbrt
12×pow1
8×pow1/3
7×add-exp-log
6×swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
3×pow-unpow unpow-prod-down
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-to-exp pow-pow pow-plus unpow1/3 pow-exp prod-exp *-commutative cbrt-unprod sqr-pow
Counts
4 → 80
Calls
4 calls:
9.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
4.0ms
(pow x 1/3)

series1.0s

Counts
4 → 12
Calls
4 calls:
281.0ms
(* (cbrt x) (cbrt x))
313.0ms
(cbrt x)
226.0ms
(cbrt x)
225.0ms
(pow x 1/3)

simplify2.8s

Counts
92 → 92
Iterations

Useful iterations: done (2.8s)

IterNodesCost
08920365
125415751
2195415671
done500014881

prune492.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (log (pow x 2/3)) x)
0.3b
(+ (* (log (pow x 2/3)) x) (* (log (cbrt x)) x))
0.5b
(cbrt x)
6.0b
(pow x 2/3)

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
9×*-un-lft-identity add-cube-cbrt
7×pow1 add-exp-log
6×add-cbrt-cube add-log-exp
4×associate-*l*
3×cbrt-prod pow-unpow unpow-prod-down associate-*r*
1×pow-to-exp +-commutative sum-log pow-pow flip3-+ distribute-rgt-out pow1/3 pow-prod-down pow-exp prod-exp log-pow *-commutative cbrt-unprod flip-+ unswap-sqr sqr-pow
Counts
4 → 59
Calls
4 calls:
7.0ms
(* (log (pow x 2/3)) x)
14.0ms
(+ (* (log (pow x 2/3)) x) (* (log (cbrt x)) x))
1.0ms
(cbrt x)
4.0ms
(pow x 2/3)

series2.0s

Counts
4 → 12
Calls
4 calls:
500.0ms
(* (log (pow x 2/3)) x)
955.0ms
(+ (* (log (pow x 2/3)) x) (* (log (cbrt x)) x))
250.0ms
(cbrt x)
261.0ms
(pow x 2/3)

simplify1.2s

Counts
71 → 71
Iterations

Useful iterations: done (1.2s)

IterNodesCost
012027297
133616391
2161714853
done500213680

prune369.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes173.0ms

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
03111
14111
done4111

end0.0ms

sample745.0ms

Algorithm
intervals
Results
264.0ms8041×body80valid
231.0ms7968×body80nan