Details

Time bar (total: 10.5s)

sample26.0ms

Algorithm
intervals
Results
11.0ms61×body1280valid
3.0ms39×body640valid
3.0ms118×body80valid
2.0ms26×body320valid
1.0ms12×body160valid

simplify13.0ms

Counts
1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 33.2b

localize6.0ms

Local error

Found 3 expressions with local error:

0.3b
(cbrt (+ x 1.0))
0.6b
(cbrt x)
4.3b
(- (cbrt (+ x 1.0)) (cbrt x))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
15×cbrt-prod
14×*-un-lft-identity
13×add-sqr-sqrt
5×add-cube-cbrt add-log-exp
4×difference-of-squares
3×pow1 add-exp-log add-cbrt-cube distribute-lft-out--
2×cbrt-div pow1/3 distribute-lft-out
1×sub-neg flip3-- flip3-+ diff-log flip-- flip-+
Counts
3 → 44
Calls
3 calls:
3.0ms
(cbrt (+ x 1.0))
1.0ms
(cbrt x)
36.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

series402.0ms

Counts
3 → 9
Calls
3 calls:
87.0ms
(cbrt (+ x 1.0))
178.0ms
(cbrt x)
137.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

simplify1.4s

Counts
53 → 53

prune129.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.6b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt x) (cbrt x))
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
10.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series749.0ms

Counts
4 → 12
Calls
4 calls:
205.0ms
(* (cbrt x) (cbrt x))
182.0ms
(cbrt x)
180.0ms
(cbrt x)
183.0ms
(cbrt x)

simplify619.0ms

Counts
85 → 85

prune221.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 0.2b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
30×cbrt-prod
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 53
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt (cbrt x))
1.0ms
(cbrt (cbrt x))
1.0ms
(cbrt (cbrt x))

series1.2s

Counts
4 → 12
Calls
4 calls:
182.0ms
(cbrt x)
247.0ms
(cbrt (cbrt x))
241.0ms
(cbrt (cbrt x))
497.0ms
(cbrt (cbrt x))

simplify411.0ms

Counts
65 → 65

prune269.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 0.2b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
30×cbrt-prod
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 53
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt (cbrt x))
1.0ms
(cbrt (cbrt x))
1.0ms
(cbrt (cbrt x))

series937.0ms

Counts
4 → 12
Calls
4 calls:
184.0ms
(cbrt x)
249.0ms
(cbrt (cbrt x))
249.0ms
(cbrt (cbrt x))
255.0ms
(cbrt (cbrt x))

simplify412.0ms

Counts
65 → 65

prune230.0ms

Pruning

18 alts after pruning (16 fresh and 2 done)

Merged error: 0.2b

regimes134.0ms

Accuracy

0% (0.3b remaining)

Error of 0.5b against oracle of 0.3b and baseline of 0.5b

bsearch0.0ms

simplify2.6s

end0.0ms

sample699.0ms

Algorithm
intervals
Results
218.0ms1679×body1280valid
156.0ms1242×body640valid
124.0ms4137×body80valid
68.0ms621×body320valid
14.0ms321×body160valid