Details

Time bar (total: 15.5s)

sample58.0ms

Algorithm
intervals
Results
21.0ms66×body1280valid
12.0ms48×body640valid
8.0ms115×body80valid
4.0ms19×body320valid
1.0ms8×body160valid

simplify10.0ms

Counts
1 → 1
Iterations
IterNodes
312
212
111
06

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 33.5b

localize31.0ms

Local error

Found 3 expressions with local error:

0.3b
(cbrt (+ x 1))
0.6b
(cbrt x)
2.2b
(- (cbrt (+ x 1)) (cbrt x))

rewrite34.0ms

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:
5.0ms
(cbrt (+ x 1))
1.0ms
(cbrt x)
27.0ms
(- (cbrt (+ x 1)) (cbrt x))

series490.0ms

Counts
3 → 9
Calls
3 calls:
64.0ms
(cbrt (+ x 1))
285.0ms
(cbrt x)
141.0ms
(- (cbrt (+ x 1)) (cbrt x))

simplify1.7s

Counts
56 → 56
Iterations
IterNodes
43094
31290
2564
1261
0121

prune440.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.5b

localize34.0ms

Local error

Found 4 expressions with local error:

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

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
14×cbrt-prod
12×*-un-lft-identity
8×add-sqr-sqrt add-cube-cbrt
4×pow1 cbrt-div add-cbrt-cube pow1/3 add-exp-log insert-posit16 add-log-exp
2×flip3-+ flip-+ distribute-lft-out
Counts
4 → 54
Calls
4 calls:
5.0ms
(cbrt (+ 1 x))
5.0ms
(cbrt (+ 1 x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series675.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(cbrt (+ 1 x))
50.0ms
(cbrt (+ 1 x))
267.0ms
(cbrt x)
311.0ms
(cbrt x)

simplify2.3s

Counts
66 → 66
Iterations
IterNodes
55034
41668
3731
2352
1165
082

prune760.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.3b

localize72.0ms

Local error

Found 4 expressions with local error:

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

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
21×cbrt-prod
13×*-un-lft-identity
9×add-sqr-sqrt add-cube-cbrt
6×cbrt-div
4×pow1 add-cbrt-cube pow1/3 add-exp-log insert-posit16 add-log-exp
2×flip3-+ flip-+ distribute-lft-out
Counts
4 → 57
Calls
4 calls:
11.0ms
(cbrt (+ 1 x))
6.0ms
(cbrt (cbrt (+ 1 x)))
1.0ms
(cbrt x)
2.0ms
(cbrt x)

series700.0ms

Counts
4 → 12
Calls
4 calls:
56.0ms
(cbrt (+ 1 x))
47.0ms
(cbrt (cbrt (+ 1 x)))
328.0ms
(cbrt x)
268.0ms
(cbrt x)

simplify1.5s

Counts
69 → 69
Iterations
IterNodes
43068
31245
2560
1254
0125

prune1.1s

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 0.2b

localize78.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (cbrt (+ 1 x)))
0.4b
(cbrt (cbrt (cbrt (+ 1 x))))
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
38×cbrt-prod
15×*-un-lft-identity
11×add-sqr-sqrt add-cube-cbrt
10×cbrt-div
4×pow1 add-cbrt-cube pow1/3 add-exp-log insert-posit16 add-log-exp
2×flip3-+ flip-+ distribute-lft-out
Counts
4 → 63
Calls
4 calls:
3.0ms
(cbrt (cbrt (+ 1 x)))
3.0ms
(cbrt (cbrt (cbrt (+ 1 x))))
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series724.0ms

Counts
4 → 12
Calls
4 calls:
67.0ms
(cbrt (cbrt (+ 1 x)))
41.0ms
(cbrt (cbrt (cbrt (+ 1 x))))
312.0ms
(cbrt x)
303.0ms
(cbrt x)

simplify2.2s

Counts
75 → 75
Iterations
IterNodes
43066
31360
2608
1283
0145

prune1.1s

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 0.2b

regimes129.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
216
116
010

end0.0ms

sample1.4s

Algorithm
intervals
Results
572.0ms1742×body1280valid
291.0ms4078×body80valid
287.0ms1268×body640valid
89.0ms613×body320valid
28.0ms299×body160valid