Details

Time bar (total: 6.3s)

sample10.0ms

Algorithm
intervals
Results
4.0ms336×body80valid

simplify3.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
045
165
295
done95

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)

rewrite7.0ms

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:
6.0ms
(* (* x 3.0) x)

series28.0ms

Counts
1 → 3
Calls
1 calls:
27.0ms
(* (* x 3.0) x)

simplify1.8s

Counts
21 → 21
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
037157
192152
2416122
31851122
done5001122

prune26.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* x 3.0) x)
0.4b
(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
19.7b
(sqrt (* (* x 3.0) x))
19.7b
(sqrt (* (* x 3.0) x))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
148×pow1
80×pow-prod-down
66×sqrt-pow1
17×pow-prod-up
14×pow1/2
11×add-exp-log add-sqr-sqrt pow-sqr add-cbrt-cube
9×add-cube-cbrt *-un-lft-identity
7×associate-*r*
6×sqrt-prod
5×associate-*l*
4×swap-sqr prod-exp cbrt-unprod add-log-exp
2×*-commutative
1×pow2 pow-plus sqrt-unprod rem-square-sqrt unswap-sqr
Counts
4 → 108
Calls
4 calls:
7.0ms
(* (* x 3.0) x)
37.0ms
(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
5.0ms
(sqrt (* (* x 3.0) x))
5.0ms
(sqrt (* (* x 3.0) x))

series167.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* (* x 3.0) x)
71.0ms
(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
34.0ms
(sqrt (* (* x 3.0) x))
38.0ms
(sqrt (* (* x 3.0) x))

simplify574.0ms

Counts
120 → 120
Iterations

Useful iterations: 2 (80.0ms)

IterNodesCost
0821103
1177757
2895644
done5000644

prune137.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize3.0ms

Local error

Found 1 expressions with local error:

0.2b
(* (* x x) 3.0)

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-exp-log add-cbrt-cube
3×add-sqr-sqrt associate-*r* pow-prod-down prod-exp cbrt-unprod
2×add-cube-cbrt *-un-lft-identity
1×associate-*l* *-commutative add-log-exp unswap-sqr
Counts
1 → 19
Calls
1 calls:
10.0ms
(* (* x x) 3.0)

series24.0ms

Counts
1 → 3
Calls
1 calls:
24.0ms
(* (* x x) 3.0)

simplify2.1s

Counts
22 → 22
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
037165
196160
2400130
32027130
done5000130

prune34.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.2b
(* (* x x) (* (cbrt 3.0) (cbrt 3.0)))
0.3b
(* (* (* x x) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))

rewrite82.0ms

Algorithm
rewrite-expression-head
Rules
48×pow1
32×add-exp-log
27×pow-prod-down
21×prod-exp cbrt-unprod
19×add-cbrt-cube
7×associate-*r*
4×add-sqr-sqrt add-cube-cbrt *-un-lft-identity pow-plus pow-prod-up
3×cbrt-prod
2×pow2 associate-*l* pow-sqr *-commutative add-log-exp
1×unswap-sqr
Counts
2 → 59
Calls
2 calls:
16.0ms
(* (* x x) (* (cbrt 3.0) (cbrt 3.0)))
61.0ms
(* (* (* x x) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))

series164.0ms

Counts
2 → 6
Calls
2 calls:
74.0ms
(* (* x x) (* (cbrt 3.0) (cbrt 3.0)))
90.0ms
(* (* (* x x) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))

simplify668.0ms

Counts
65 → 65
Iterations

Useful iterations: 2 (72.0ms)

IterNodesCost
075841
1210754
21052541
done5000541

prune85.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes33.0ms

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

sample238.0ms

Algorithm
intervals
Results
134.0ms10574×body80valid