Details

Time bar (total: 8.5s)

sample17.0ms

Algorithm
intervals
Results
5.0ms257×body80valid
4.0ms278×body80nan

simplify2.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
034
144
done44

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))

rewrite5.0ms

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:
4.0ms
(* x (log x))

series175.0ms

Counts
1 → 3
Calls
1 calls:
175.0ms
(* x (log x))

simplify1.3s

Counts
28 → 28
Iterations

Useful iterations: 3 (72.0ms)

IterNodesCost
053203
193194
2179170
3264163
41084163
done5000163

prune50.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod associate-+r+ log-prod
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×pow1 add-exp-log add-cbrt-cube
6×distribute-rgt-in distribute-lft-in add-log-exp
3×associate-*r* pow-prod-down prod-exp cbrt-unprod
2×pow1/3
1×+-commutative flip3-+ associate-*l* sum-log *-commutative flip-+
Counts
4 → 63
Calls
4 calls:
8.0ms
(* (* 2 (log (cbrt x))) x)
10.0ms
(+ (* (* 2 (log (cbrt x))) x) (* x (log (cbrt x))))
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.0s

Counts
4 → 12
Calls
4 calls:
345.0ms
(* (* 2 (log (cbrt x))) x)
348.0ms
(+ (* (* 2 (log (cbrt x))) x) (* x (log (cbrt x))))
179.0ms
(cbrt x)
176.0ms
(cbrt x)

simplify641.0ms

Counts
75 → 75
Iterations

Useful iterations: done (639.0ms)

IterNodesCost
0119811
1291731
2977545
done5000528

prune200.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
39×unpow-prod-down
34×associate-+r+ log-prod
30×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
27×times-frac
17×distribute-rgt-in distribute-lft-in
14×add-exp-log
11×pow1
9×add-cbrt-cube
6×add-log-exp
4×pow-exp
3×cbrt-prod pow-unpow pow-pow associate-*r* pow-prod-down prod-exp cbrt-unprod div-inv sqr-pow
2×div-exp
1×+-commutative pow-to-exp rec-exp pow-flip flip3-+ pow1/3 1-exp associate-*l* sum-log *-commutative flip-+ inv-pow
Counts
4 → 106
Calls
4 calls:
8.0ms
(* (* 2 (log (cbrt x))) x)
20.0ms
(+ (* (* 2 (log (cbrt x))) x) (* x (log (pow (/ 1 x) -1/3))))
1.0ms
(cbrt x)
4.0ms
(pow (/ 1 x) -1/3)

series1.4s

Counts
4 → 12
Calls
4 calls:
346.0ms
(* (* 2 (log (cbrt x))) x)
679.0ms
(+ (* (* 2 (log (cbrt x))) x) (* x (log (pow (/ 1 x) -1/3))))
178.0ms
(cbrt x)
175.0ms
(pow (/ 1 x) -1/3)

simplify728.0ms

Counts
118 → 118
Iterations

Useful iterations: done (725.0ms)

IterNodesCost
02471591
15681311
215051043
done50011039

prune315.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(log (cbrt x))
0.4b
(* (log (cbrt x)) (* 3 x))
0.6b
(cbrt x)

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
10×pow1
9×add-exp-log
8×add-cbrt-cube
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×cbrt-prod log-prod
5×associate-*l*
4×log-pow
3×pow1/3 pow-prod-down prod-exp cbrt-unprod add-log-exp
1×rem-log-exp associate-*r* *-commutative
Counts
3 → 47
Calls
3 calls:
1.0ms
(log (cbrt x))
7.0ms
(* (log (cbrt x)) (* 3 x))
1.0ms
(cbrt x)

series790.0ms

Counts
3 → 9
Calls
3 calls:
257.0ms
(log (cbrt x))
347.0ms
(* (log (cbrt x)) (* 3 x))
186.0ms
(cbrt x)

simplify1.2s

Counts
56 → 56
Iterations

Useful iterations: 3 (394.0ms)

IterNodesCost
076410
1165384
2504311
31920304
done5001304

prune108.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes56.0ms

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
034
144
done44

end0.0ms

sample444.0ms

Algorithm
intervals
Results
158.0ms8041×body80valid
111.0ms8016×body80nan