Details

Time bar (total: 17.3s)

sample54.0ms

Algorithm
intervals
Results
25.0ms56×body1280valid
8.0ms38×body640valid
7.0ms128×body80valid
4.0ms23×body320valid
1.0ms11×body160valid

simplify11.0ms

Counts
1 → 1

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.6b

localize16.0ms

Local error

Found 3 expressions with local error:

3.7b
(- (cbrt (+ x 1)) (cbrt x))
0.6b
(cbrt x)
0.3b
(cbrt (+ x 1))

rewrite36.0ms

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-cbrt-cube add-exp-log insert-posit16 distribute-lft-out--
2×cbrt-div pow1/3 distribute-lft-out
1×sub-neg flip3-+ flip3-- diff-log flip-+ flip--
Counts
3 → 47
Calls
3 calls:
Slowest
29.0ms
(- (cbrt (+ x 1)) (cbrt x))
6.0ms
(cbrt (+ x 1))
1.0ms
(cbrt x)

series404.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
233.0ms
(cbrt x)
124.0ms
(- (cbrt (+ x 1)) (cbrt x))
47.0ms
(cbrt (+ x 1))

simplify1.4s

Counts
56 → 56

prune498.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.4b

localize25.0ms

Local error

Found 4 expressions with local error:

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

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×pow1/3
6×swap-sqr associate-*r* associate-*l* add-exp-log
4×add-cbrt-cube insert-posit16 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 → 77
Calls
4 calls:
Slowest
8.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.3s

Counts
4 → 12
Calls
4 calls:
Slowest
380.0ms
(* (cbrt x) (cbrt x))
307.0ms
(cbrt x)
293.0ms
(cbrt x)
279.0ms
(cbrt x)

simplify1.4s

Counts
89 → 89

prune939.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.2b

localize48.0ms

Local error

Found 4 expressions with local error:

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

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×pow1 add-cbrt-cube pow1/3 add-exp-log insert-posit16 add-log-exp
Counts
4 → 48
Calls
4 calls:
Slowest
6.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.2s

Counts
4 → 12
Calls
4 calls:
Slowest
362.0ms
(cbrt x)
312.0ms
(cbrt x)
288.0ms
(cbrt x)
251.0ms
(cbrt x)

simplify3.0s

Counts
60 → 60

prune795.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.2b

localize82.0ms

Local error

Found 4 expressions with local error:

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

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
24×cbrt-prod
10×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×pow1 add-cbrt-cube pow1/3 add-exp-log insert-posit16 add-log-exp
Counts
4 → 54
Calls
4 calls:
Slowest
2.0ms
(cbrt (cbrt x))
2.0ms
(cbrt (cbrt x))
2.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.4s

Counts
4 → 12
Calls
4 calls:
Slowest
432.0ms
(cbrt (cbrt x))
403.0ms
(cbrt (cbrt x))
280.0ms
(cbrt x)
278.0ms
(cbrt x)

simplify1.7s

Counts
66 → 66

prune912.0ms

Pruning

17 alts after pruning (15 fresh and 2 done)

Merged error: 0.2b

regimes112.0ms

Accuracy

0% (0.3b remaining)

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

bsearch2.0ms

end0.0ms

sample1.8s

Algorithm
intervals
Results
638.0ms4110×body80valid
553.0ms1707×body1280valid
350.0ms1263×body640valid
145.0ms629×body320valid
31.0ms291×body160valid