Details

Time bar (total: 7.6s)

sample11.0ms

Algorithm
intervals
Results
4.0ms328×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)

series31.0ms

Counts
1 → 3
Calls
1 calls:
31.0ms
(* (* x 3.0) x)

simplify1.1s

Counts
21 → 21
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
037157
190152
2355122
31463122
done5000122

prune34.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

0.2b
(* (pow x 2) 3.0)

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
8×associate-*l*
6×add-exp-log
4×add-cube-cbrt unpow-prod-down *-un-lft-identity unswap-sqr
3×associate-*r* prod-exp add-cbrt-cube
2×unpow2 sqr-pow
1×pow1 pow-to-exp pow-exp *-commutative cbrt-unprod add-log-exp
Counts
1 → 27
Calls
1 calls:
9.0ms
(* (pow x 2) 3.0)

series29.0ms

Counts
1 → 3
Calls
1 calls:
29.0ms
(* (pow x 2) 3.0)

simplify1.3s

Counts
30 → 30
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
049229
1101210
2347177
31451177
done5001177

prune57.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* x 3.0) x)
0.3b
(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
21.2b
(sqrt (* (* x 3.0) x))
21.2b
(sqrt (* (* x 3.0) x))

rewrite60.0ms

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:
6.0ms
(* (* x 3.0) x)
38.0ms
(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
5.0ms
(sqrt (* (* x 3.0) x))
5.0ms
(sqrt (* (* x 3.0) x))

series183.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(* (* x 3.0) x)
76.0ms
(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
39.0ms
(sqrt (* (* x 3.0) x))
41.0ms
(sqrt (* (* x 3.0) x))

simplify522.0ms

Counts
120 → 120
Iterations

Useful iterations: 2 (88.0ms)

IterNodesCost
0821103
1169757
2748644
done5000644

prune153.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.2b
(* (pow x 2) (* (cbrt 3.0) (cbrt 3.0)))
0.3b
(* (* (pow x 2) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
36×add-exp-log
25×prod-exp
9×associate-*l* add-cbrt-cube cbrt-unprod
8×add-sqr-sqrt
7×associate-*r*
6×add-cube-cbrt *-un-lft-identity
4×pow1 pow-to-exp unpow-prod-down pow-exp unswap-sqr
3×cbrt-prod
2×pow-prod-down *-commutative unpow2 add-log-exp sqr-pow
1×pow2
Counts
2 → 56
Calls
2 calls:
13.0ms
(* (pow x 2) (* (cbrt 3.0) (cbrt 3.0)))
37.0ms
(* (* (pow x 2) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))

series191.0ms

Counts
2 → 6
Calls
2 calls:
85.0ms
(* (pow x 2) (* (cbrt 3.0) (cbrt 3.0)))
106.0ms
(* (* (pow x 2) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))

simplify3.4s

Counts
62 → 62
Iterations

Useful iterations: 3 (1.2s)

IterNodesCost
084808
1215684
2889536
34515461
done5000461

prune106.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes47.0ms

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

sample256.0ms

Algorithm
intervals
Results
144.0ms10685×body80valid