Details

Time bar (total: 13.3s)

sample26.0ms

Algorithm
intervals
Results
8.0ms258×body80valid
4.0ms198×body80nan

simplify2.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034
144
done44

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize6.0ms

Local error

Found 1 expressions with local error:

0.3b
(* x (log x))

rewrite15.0ms

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:
14.0ms
(* x (log x))

series233.0ms

Counts
1 → 3
Calls
1 calls:
232.0ms
(* x (log x))

simplify1.8s

Counts
30 → 30
Iterations

Useful iterations: 3 (106.0ms)

IterNodesCost
055213
195204
2183180
3283173
41038173
done5001173

prune79.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite83.0ms

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
4×expm1-log1p-u log1p-expm1-u
3×associate-*r* pow-prod-down prod-exp cbrt-unprod
2×pow1/3
1×+-commutative distribute-rgt-out fma-def flip3-+ associate-*l* sum-log *-commutative flip-+
Counts
4 → 61
Calls
4 calls:
38.0ms
(* (* 2 (log (cbrt x))) x)
40.0ms
(+ (* (* 2 (log (cbrt x))) x) (* (log (cbrt x)) x))
1.0ms
(cbrt x)
2.0ms
(cbrt x)

series1.5s

Counts
4 → 12
Calls
4 calls:
496.0ms
(* (* 2 (log (cbrt x))) x)
483.0ms
(+ (* (* 2 (log (cbrt x))) x) (* (log (cbrt x)) x))
240.0ms
(cbrt x)
273.0ms
(cbrt x)

simplify1.6s

Counts
73 → 73
Iterations

Useful iterations: done (1.6s)

IterNodesCost
095700
1256562
21023458
done5000406

prune232.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b
(fma (* 2 (log (cbrt x))) x (* (log (cbrt x)) x))
0.3b
(* (log (cbrt x)) x)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
8×add-cube-cbrt *-un-lft-identity
7×pow1
6×add-exp-log cbrt-prod add-cbrt-cube
5×associate-*l*
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 associate-*r*
2×log-pow
1×pow-prod-down prod-exp *-commutative cbrt-unprod fma-udef unswap-sqr
Counts
4 → 58
Calls
4 calls:
0.0ms
(fma (* 2 (log (cbrt x))) x (* (log (cbrt x)) x))
15.0ms
(* (log (cbrt x)) x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.8s

Counts
4 → 12
Calls
4 calls:
875.0ms
(fma (* 2 (log (cbrt x))) x (* (log (cbrt x)) x))
435.0ms
(* (log (cbrt x)) x)
312.0ms
(cbrt x)
221.0ms
(cbrt x)

simplify1.6s

Counts
70 → 70
Iterations

Useful iterations: done (1.6s)

IterNodesCost
076522
1142503
2421394
31603350
done5000346

prune248.0ms

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 x)
0.6b
(cbrt x)
0.6b
(cbrt (pow x 2/3))
6.1b
(pow x 2/3)

rewrite24.0ms

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×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×pow-unpow pow1/3
2×sqr-pow
1×pow-to-exp pow-pow pow-exp
Counts
4 → 62
Calls
4 calls:
2.0ms
(cbrt x)
2.0ms
(cbrt x)
4.0ms
(cbrt (pow x 2/3))
14.0ms
(pow x 2/3)

series1.2s

Counts
4 → 12
Calls
4 calls:
286.0ms
(cbrt x)
286.0ms
(cbrt x)
313.0ms
(cbrt (pow x 2/3))
303.0ms
(pow x 2/3)

simplify1.4s

Counts
74 → 74
Iterations

Useful iterations: 4 (681.0ms)

IterNodesCost
081415
1146369
2262337
3591323
41845318
done5001318

prune315.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes52.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01419
11719
done1719

end0.0ms

sample957.0ms

Algorithm
intervals
Results
307.0ms8042×body80valid
222.0ms8049×body80nan