Details

Time bar (total: 15.9s)

sample10.0ms

Algorithm
intervals
Results
4.0ms336×body80valid

simplify4.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045
175
2105
done105

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize3.0ms

Local error

Found 1 expressions with local error:

0.2b
(* (* x 3.0) x)

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-exp-log add-cbrt-cube
3×associate-*r* pow-prod-down prod-exp cbrt-unprod
2×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
1×associate-*l* *-commutative add-log-exp
Counts
1 → 18
Calls
1 calls:
16.0ms
(* (* x 3.0) x)

series26.0ms

Counts
1 → 3
Calls
1 calls:
26.0ms
(* (* x 3.0) x)

simplify3.0s

Counts
21 → 21
Iterations

Useful iterations: 4 (760.0ms)

IterNodesCost
037157
190152
2314122
3664122
4975121
52720121
done5000121

prune31.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize3.0ms

Local error

Found 1 expressions with local error:

0.3b
(* 3.0 (* x x))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-exp-log add-cbrt-cube
3×add-sqr-sqrt associate-*l* pow-prod-down prod-exp cbrt-unprod
2×add-cube-cbrt *-un-lft-identity
1×associate-*r* *-commutative add-log-exp unswap-sqr
Counts
1 → 19
Calls
1 calls:
18.0ms
(* 3.0 (* x x))

series26.0ms

Counts
1 → 3
Calls
1 calls:
26.0ms
(* 3.0 (* x x))

simplify2.4s

Counts
22 → 22
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
034162
178159
2209129
3468129
4677129
51860129
done5001129

prune53.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.2b
(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* x x)))
0.2b
(* (cbrt 3.0) (* x x))

rewrite107.0ms

Algorithm
rewrite-expression-head
Rules
28×pow1 add-exp-log
18×pow-prod-down prod-exp cbrt-unprod
16×add-cbrt-cube
7×associate-*l*
6×add-sqr-sqrt
4×cbrt-prod add-cube-cbrt *-un-lft-identity
2×associate-*r* *-commutative add-log-exp unswap-sqr
Counts
2 → 51
Calls
2 calls:
73.0ms
(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* x x)))
32.0ms
(* (cbrt 3.0) (* x x))

series137.0ms

Counts
2 → 6
Calls
2 calls:
88.0ms
(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* x x)))
49.0ms
(* (cbrt 3.0) (* x x))

simplify5.5s

Counts
57 → 57
Iterations

Useful iterations: done (5.5s)

IterNodesCost
066692
1158674
2573458
31770356
43981356
done5001355

prune72.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.2b
(* (* (cbrt 3.0) (cbrt 3.0)) (* (sqrt (cbrt 3.0)) (* (sqrt (cbrt 3.0)) (* x x))))
0.2b
(* (sqrt (cbrt 3.0)) (* (sqrt (cbrt 3.0)) (* x x)))
0.2b
(* (sqrt (cbrt 3.0)) (* x x))

rewrite250.0ms

Algorithm
rewrite-expression-head
Rules
49×pow1 add-exp-log
41×add-cbrt-cube
33×pow-prod-down prod-exp cbrt-unprod
19×associate-*l*
14×sqrt-prod
12×add-sqr-sqrt
9×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
3×associate-*r* *-commutative add-log-exp unswap-sqr
Counts
3 → 88
Calls
3 calls:
165.0ms
(* (* (cbrt 3.0) (cbrt 3.0)) (* (sqrt (cbrt 3.0)) (* (sqrt (cbrt 3.0)) (* x x))))
58.0ms
(* (sqrt (cbrt 3.0)) (* (sqrt (cbrt 3.0)) (* x x)))
23.0ms
(* (sqrt (cbrt 3.0)) (* x x))

series225.0ms

Counts
3 → 9
Calls
3 calls:
95.0ms
(* (* (cbrt 3.0) (cbrt 3.0)) (* (sqrt (cbrt 3.0)) (* (sqrt (cbrt 3.0)) (* x x))))
50.0ms
(* (sqrt (cbrt 3.0)) (* (sqrt (cbrt 3.0)) (* x x)))
80.0ms
(* (sqrt (cbrt 3.0)) (* x x))

simplify3.6s

Counts
97 → 97
Iterations

Useful iterations: done (3.6s)

IterNodesCost
0971610
12411207
2933806
34053688
done5000685

prune127.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes35.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045
165
done65

end0.0ms

sample268.0ms

Algorithm
intervals
Results
128.0ms10579×body80valid