Details

Time bar (total: 33.6s)

sample57.0ms

Algorithm
intervals
Results
20.0ms47×body1280valid
9.0ms37×body640valid
9.0ms135×body80valid
4.0ms26×body320valid
1.0ms11×body160valid

simplify29.0ms

Counts
1 → 1
Iterations
IterNodes
done10
210
19
06

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.6b

localize48.0ms

Local error

Found 3 expressions with local error:

0.3b
(cbrt (+ x 1.0))
0.6b
(cbrt x)
3.3b
(- (cbrt (+ x 1.0)) (cbrt x))

rewrite126.0ms

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:
8.0ms
(cbrt (+ x 1.0))
3.0ms
(cbrt x)
113.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

series686.0ms

Counts
3 → 9
Calls
3 calls:
161.0ms
(cbrt (+ x 1.0))
273.0ms
(cbrt x)
252.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

simplify4.3s

Counts
56 → 56
Iterations
IterNodes
done5001
31974
2727
1310
0134

prune640.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.4b

localize151.0ms

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)

rewrite66.0ms

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:
46.0ms
(* (cbrt x) (cbrt x))
5.0ms
(cbrt x)
5.0ms
(cbrt x)
3.0ms
(cbrt x)

series1.5s

Counts
4 → 12
Calls
4 calls:
375.0ms
(* (cbrt x) (cbrt x))
381.0ms
(cbrt x)
376.0ms
(cbrt x)
373.0ms
(cbrt x)

simplify8.9s

Counts
89 → 89
Iterations
IterNodes
done5000
43734
31049
2353
1137
063

prune864.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.2b

localize210.0ms

Local error

Found 4 expressions with local error:

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

rewrite13.0ms

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:
2.0ms
(cbrt x)
3.0ms
(cbrt x)
3.0ms
(cbrt x)
3.0ms
(cbrt x)

series1.3s

Counts
4 → 12
Calls
4 calls:
329.0ms
(cbrt x)
303.0ms
(cbrt x)
374.0ms
(cbrt x)
326.0ms
(cbrt x)

simplify4.5s

Counts
60 → 60
Iterations
IterNodes
done5008
51338
4442
3181
295
145
025

prune872.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 0.2b

localize386.0ms

Local error

Found 4 expressions with local error:

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

rewrite12.0ms

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:
2.0ms
(cbrt x)
3.0ms
(cbrt x)
2.0ms
(cbrt x)
3.0ms
(cbrt x)

series1.3s

Counts
4 → 12
Calls
4 calls:
302.0ms
(cbrt x)
354.0ms
(cbrt x)
338.0ms
(cbrt x)
340.0ms
(cbrt x)

simplify4.5s

Counts
60 → 60
Iterations
IterNodes
done5008
51338
4442
3181
295
145
025

prune687.0ms

Pruning

16 alts after pruning (14 fresh and 2 done)

Merged error: 0.2b

regimes273.0ms

Accuracy

0% (0.3b remaining)

Error of 0.6b against oracle of 0.2b and baseline of 0.6b

bsearch0.0ms

simplify5.0ms

Iterations
IterNodes
done14
114
010

end0.0ms

sample2.1s

Algorithm
intervals
Results
635.0ms1717×body1280valid
515.0ms627×body320valid
370.0ms1324×body640valid
353.0ms4026×body80valid
39.0ms306×body160valid