Details

Time bar (total: 16.4s)

sample51.0ms

Algorithm
intervals
Results
22.0ms58×body1280valid
8.0ms47×body640valid
6.0ms121×body80valid
2.0ms17×body320valid
1.0ms13×body160valid

simplify14.0ms

Counts
1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.7b

localize8.0ms

Local error

Found 3 expressions with local error:

0.3b
(cbrt (+ x 1.0))
0.6b
(cbrt x)
3.1b
(- (cbrt (+ x 1.0)) (cbrt x))

rewrite105.0ms

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:
18.0ms
(cbrt (+ x 1.0))
1.0ms
(cbrt x)
83.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

series666.0ms

Counts
3 → 9
Calls
3 calls:
165.0ms
(cbrt (+ x 1.0))
293.0ms
(cbrt x)
208.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

simplify1.7s

Counts
53 → 53

prune201.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.5b

localize15.0ms

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)

rewrite16.0ms

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:
11.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.2s

Counts
4 → 12
Calls
4 calls:
285.0ms
(* (cbrt x) (cbrt x))
322.0ms
(cbrt x)
282.0ms
(cbrt x)
304.0ms
(cbrt x)

simplify897.0ms

Counts
85 → 85

prune345.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.3b

localize58.0ms

Local error

Found 4 expressions with local error:

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

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
10×cbrt-prod
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 42
Calls
4 calls:
2.0ms
(cbrt x)
2.0ms
(cbrt x)
2.0ms
(cbrt x)
11.0ms
(cbrt (* (cbrt x) (cbrt x)))

series1.3s

Counts
4 → 12
Calls
4 calls:
268.0ms
(cbrt x)
304.0ms
(cbrt x)
272.0ms
(cbrt x)
465.0ms
(cbrt (* (cbrt x) (cbrt x)))

simplify792.0ms

Counts
54 → 54

prune349.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 0.2b

localize62.0ms

Local error

Found 4 expressions with local error:

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

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
16×cbrt-prod
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 45
Calls
4 calls:
10.0ms
(cbrt (* (cbrt x) (cbrt x)))
5.0ms
(cbrt (cbrt (* (cbrt x) (cbrt x))))
5.0ms
(cbrt (cbrt (* (cbrt x) (cbrt x))))
6.0ms
(cbrt (cbrt (* (cbrt x) (cbrt x))))

series1.8s

Counts
4 → 12
Calls
4 calls:
441.0ms
(cbrt (* (cbrt x) (cbrt x)))
442.0ms
(cbrt (cbrt (* (cbrt x) (cbrt x))))
491.0ms
(cbrt (cbrt (* (cbrt x) (cbrt x))))
456.0ms
(cbrt (cbrt (* (cbrt x) (cbrt x))))

simplify885.0ms

Counts
57 → 57

prune392.0ms

Pruning

17 alts after pruning (15 fresh and 2 done)

Merged error: 0.2b

regimes130.0ms

Accuracy

0% (0.3b remaining)

Error of 0.5b against oracle of 0.2b and baseline of 0.5b

bsearch0.0ms

simplify4.0s

end1.0ms

sample1.3s

Algorithm
intervals
Results
488.0ms1720×body1280valid
246.0ms1212×body640valid
208.0ms4091×body80valid
79.0ms644×body320valid
52.0ms333×body160valid