Details

Time bar (total: 31.4s)

sample30.0ms

Algorithm
intervals
Results
6.0ms45×body1280valid
4.0ms44×body640valid
4.0ms148×body80valid
1.0ms13×body320valid
1.0ms6×body160valid

simplify19.0ms

Counts
1 → 1
Iterations
IterNodes
done10
210
19
06

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 25.5b

localize38.0ms

Local error

Found 3 expressions with local error:

0.3b
(cbrt (+ x 1.0))
0.7b
(cbrt x)
1.7b
(- (cbrt (+ x 1.0)) (cbrt x))

rewrite82.0ms

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:
9.0ms
(cbrt (+ x 1.0))
2.0ms
(cbrt x)
67.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

series769.0ms

Counts
3 → 9
Calls
3 calls:
170.0ms
(cbrt (+ x 1.0))
340.0ms
(cbrt x)
259.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

simplify3.8s

Counts
56 → 56
Iterations
IterNodes
done5001
31974
2727
1310
0134

prune641.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.3b

localize115.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt x) (cbrt x))
0.7b
(cbrt x)
0.7b
(cbrt x)
0.7b
(cbrt x)

rewrite27.0ms

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:
16.0ms
(* (cbrt x) (cbrt x))
2.0ms
(cbrt x)
2.0ms
(cbrt x)
2.0ms
(cbrt x)

series1.4s

Counts
4 → 12
Calls
4 calls:
334.0ms
(* (cbrt x) (cbrt x))
335.0ms
(cbrt x)
333.0ms
(cbrt x)
376.0ms
(cbrt x)

simplify7.8s

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

prune871.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.2b

localize137.0ms

Local error

Found 4 expressions with local error:

0.7b
(cbrt x)
0.7b
(cbrt x)
0.7b
(cbrt x)
0.7b
(cbrt x)

rewrite8.0ms

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)
2.0ms
(cbrt x)
2.0ms
(cbrt x)
2.0ms
(cbrt x)

series1.2s

Counts
4 → 12
Calls
4 calls:
299.0ms
(cbrt x)
301.0ms
(cbrt x)
335.0ms
(cbrt x)
310.0ms
(cbrt x)

simplify4.5s

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

prune840.0ms

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 0.1b

localize187.0ms

Local error

Found 4 expressions with local error:

0.7b
(cbrt x)
0.7b
(cbrt x)
0.7b
(cbrt x)
0.7b
(cbrt x)

rewrite16.0ms

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

series1.4s

Counts
4 → 12
Calls
4 calls:
331.0ms
(cbrt x)
381.0ms
(cbrt x)
308.0ms
(cbrt x)
373.0ms
(cbrt x)

simplify4.3s

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

prune752.0ms

Pruning

13 alts after pruning (10 fresh and 3 done)

Merged error: 0.1b

regimes669.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify8.0ms

Iterations
IterNodes
done14
114
010

end0.0ms

sample1.7s

Algorithm
intervals
Results
625.0ms1251×body640valid
508.0ms1724×body1280valid
222.0ms4067×body80valid
99.0ms650×body320valid
29.0ms308×body160valid