Details

Time bar (total: 11.3s)

sample17.0ms

Algorithm
intervals
Results
6.0ms256×body80valid
3.0ms226×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×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:
4.0ms
(* x (log x))

series175.0ms

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

simplify1.8s

Counts
30 → 30
Iterations

Useful iterations: 3 (79.0ms)

IterNodesCost
055213
195204
2181180
3269173
41103173
done5000173

prune57.0ms

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)

rewrite22.0ms

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
4×expm1-log1p-u log1p-expm1-u
3×associate-*r* pow-prod-down prod-exp cbrt-unprod
2×pow1/3
1×+-commutative fma-def flip3-+ associate-*l* sum-log *-commutative flip-+
Counts
4 → 72
Calls
4 calls:
8.0ms
(* (* 2 (log (cbrt x))) x)
10.0ms
(+ (* (* 2 (log (cbrt x))) x) (* x (log (cbrt x))))
0.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.0s

Counts
4 → 12
Calls
4 calls:
342.0ms
(* (* 2 (log (cbrt x))) x)
346.0ms
(+ (* (* 2 (log (cbrt x))) x) (* x (log (cbrt x))))
179.0ms
(cbrt x)
170.0ms
(cbrt x)

simplify947.0ms

Counts
84 → 84
Iterations

Useful iterations: done (944.0ms)

IterNodesCost
0125867
1307776
21087586
done5000572

prune234.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
24×cbrt-prod
10×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 → 58
Calls
4 calls:
0.0ms
(cbrt x)
0.0ms
(cbrt x)
1.0ms
(cbrt (cbrt x))
1.0ms
(cbrt (cbrt x))

series855.0ms

Counts
4 → 12
Calls
4 calls:
174.0ms
(cbrt x)
175.0ms
(cbrt x)
245.0ms
(cbrt (cbrt x))
261.0ms
(cbrt (cbrt x))

simplify2.2s

Counts
70 → 70
Iterations

Useful iterations: 3 (49.0ms)

IterNodesCost
046374
179356
2151328
3303316
4853316
53537316
done5001316

prune272.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize6.0ms

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×expm1-log1p-u pow1/3 pow-prod-down prod-exp cbrt-unprod log1p-expm1-u add-log-exp
1×rem-log-exp associate-*r* *-commutative
Counts
3 → 53
Calls
3 calls:
1.0ms
(log (cbrt x))
7.0ms
(* (log (cbrt x)) (* 3 x))
1.0ms
(cbrt x)

series781.0ms

Counts
3 → 9
Calls
3 calls:
253.0ms
(log (cbrt x))
345.0ms
(* (log (cbrt x)) (* 3 x))
183.0ms
(cbrt x)

simplify2.2s

Counts
62 → 62
Iterations

Useful iterations: 3 (538.0ms)

IterNodesCost
082440
1172412
2516342
31960332
done5000332

prune125.0ms

Pruning

7 alts after pruning (4 fresh and 3 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

sample468.0ms

Algorithm
intervals
Results
177.0ms8034×body80valid
108.0ms8013×body80nan