Details

Time bar (total: 11.5s)

sample33.0ms

Algorithm
intervals
Results
10.0ms256×body80valid
7.0ms250×body80nan

simplify3.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034
144
done44

prune3.0ms

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))

rewrite18.0ms

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:
16.0ms
(* x (log x))

series339.0ms

Counts
1 → 3
Calls
1 calls:
338.0ms
(* x (log x))

simplify1.3s

Counts
28 → 28
Iterations

Useful iterations: 3 (282.0ms)

IterNodesCost
053203
1107194
2288172
31607163
done5001163

prune69.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* 2 (log (cbrt x))) x)
0.3b
(+ (* (* 2 (log (cbrt x))) x) (* (log (cbrt x)) x))
0.7b
(cbrt x)
0.7b
(cbrt x)

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
9×pow1 add-exp-log add-cbrt-cube
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×cbrt-prod add-log-exp
3×associate-*r* pow-prod-down prod-exp cbrt-unprod
2×pow1/3
1×+-commutative distribute-rgt-out flip3-+ associate-*l* sum-log *-commutative flip-+
Counts
4 → 52
Calls
4 calls:
35.0ms
(* (* 2 (log (cbrt x))) x)
22.0ms
(+ (* (* 2 (log (cbrt x))) x) (* (log (cbrt x)) x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.6s

Counts
4 → 12
Calls
4 calls:
486.0ms
(* (* 2 (log (cbrt x))) x)
583.0ms
(+ (* (* 2 (log (cbrt x))) x) (* (log (cbrt x)) x))
286.0ms
(cbrt x)
292.0ms
(cbrt x)

simplify1.1s

Counts
64 → 64
Iterations

Useful iterations: done (1.1s)

IterNodesCost
089644
1262568
21519420
done5001382

prune195.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (pow x 2/3))
0.7b
(cbrt x)
0.7b
(cbrt x)
6.0b
(pow x 2/3)

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
13×cbrt-prod
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×unpow-prod-down
5×pow1 add-exp-log
4×add-cbrt-cube add-log-exp
3×pow-unpow pow1/3
2×sqr-pow
1×pow-to-exp pow-pow pow-exp
Counts
4 → 54
Calls
4 calls:
2.0ms
(cbrt (pow x 2/3))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
3.0ms
(pow x 2/3)

series947.0ms

Counts
4 → 12
Calls
4 calls:
266.0ms
(cbrt (pow x 2/3))
232.0ms
(cbrt x)
244.0ms
(cbrt x)
205.0ms
(pow x 2/3)

simplify1.9s

Counts
66 → 66
Iterations

Useful iterations: done (1.9s)

IterNodesCost
075385
1167339
2582307
32581293
done5001289

prune304.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(log (* (cbrt (- x)) (cbrt -1)))
0.3b
(* (* 3 x) (log (* (cbrt (- x)) (cbrt -1))))
0.7b
(cbrt (- x))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
14×pow1
11×add-exp-log
10×cbrt-prod
8×add-cbrt-cube
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity pow-prod-down
6×associate-*r* log-pow
5×pow1/3
4×prod-exp
3×distribute-lft-neg-in log-prod distribute-rgt-neg-in cbrt-unprod add-log-exp
2×rem-log-exp
1×distribute-rgt-in neg-mul-1 distribute-lft-in associate-*l* *-commutative
Counts
3 → 54
Calls
3 calls:
14.0ms
(log (* (cbrt (- x)) (cbrt -1)))
33.0ms
(* (* 3 x) (log (* (cbrt (- x)) (cbrt -1))))
2.0ms
(cbrt (- x))

series1.3s

Counts
3 → 9
Calls
3 calls:
463.0ms
(log (* (cbrt (- x)) (cbrt -1)))
587.0ms
(* (* 3 x) (log (* (cbrt (- x)) (cbrt -1))))
256.0ms
(cbrt (- x))

simplify958.0ms

Counts
63 → 63
Iterations

Useful iterations: done (956.0ms)

IterNodesCost
095633
1224604
21286509
done5000504

prune141.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes70.0ms

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
034
144
done44

end0.0ms

sample973.0ms

Algorithm
intervals
Results
318.0ms8035×body80valid
189.0ms7870×body80nan