Details

Time bar (total: 18.4s)

sample28.0ms

Algorithm
intervals
Results
7.0ms43×body1280valid
5.0ms139×body80valid
5.0ms33×body640valid
3.0ms31×body320valid
1.0ms10×body160valid

simplify26.0ms

Counts
1 → 1

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.0b

localize21.0ms

Local error

Found 3 expressions with local error:

3.5b
(- (cbrt (+ x 1)) (cbrt x))
0.6b
(cbrt x)
0.2b
(cbrt (+ x 1))

rewrite55.0ms

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
48.0ms
(- (cbrt (+ x 1)) (cbrt x))
5.0ms
(cbrt (+ x 1))
1.0ms
(cbrt x)

series916.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
721.0ms
(cbrt x)
138.0ms
(- (cbrt (+ x 1)) (cbrt x))
56.0ms
(cbrt (+ x 1))

simplify1.5s

Counts
56 → 56

prune579.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.4b

localize47.0ms

Local error

Found 4 expressions with local error:

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

rewrite25.0ms

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
20.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.1s

Counts
4 → 12
Calls
4 calls:
Slowest
283.0ms
(cbrt x)
267.0ms
(cbrt x)
265.0ms
(cbrt x)
252.0ms
(* (cbrt x) (cbrt x))

simplify1.6s

Counts
89 → 89

prune953.0ms

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

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
16×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 → 49
Calls
4 calls:
Slowest
4.0ms
(cbrt (* (cbrt x) (cbrt x)))
1.0ms
(cbrt (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.5s

Counts
4 → 12
Calls
4 calls:
Slowest
486.0ms
(cbrt (* (cbrt x) (cbrt x)))
426.0ms
(cbrt (cbrt x))
302.0ms
(cbrt x)
262.0ms
(cbrt x)

simplify3.2s

Counts
61 → 61

prune767.0ms

Pruning

15 alts after pruning (13 fresh and 2 done)

Merged error: 0.2b

localize51.0ms

Local error

Found 4 expressions with local error:

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

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
30×cbrt-prod
11×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 → 57
Calls
4 calls:
Slowest
1.0ms
(cbrt (cbrt x))
1.0ms
(cbrt (cbrt x))
1.0ms
(cbrt (cbrt x))
1.0ms
(cbrt x)

series1.4s

Counts
4 → 12
Calls
4 calls:
Slowest
405.0ms
(cbrt (cbrt x))
363.0ms
(cbrt (cbrt x))
359.0ms
(cbrt (cbrt x))
317.0ms
(cbrt x)

simplify1.9s

Counts
69 → 69

prune707.0ms

Pruning

16 alts after pruning (13 fresh and 3 done)

Merged error: 0.2b

regimes113.0ms

Accuracy

0% (0.3b remaining)

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

bsearch3.0ms

end0.0ms

sample1.9s

Algorithm
intervals
Results
796.0ms1188×body640valid
526.0ms1792×body1280valid
317.0ms4039×body80valid
110.0ms648×body320valid
37.0ms333×body160valid