Details

sample49.0ms

Algorithm

intervals

Results

17.0ms	52×	body	1280	valid
9.0ms	37×	body	640	valid
8.0ms	138×	body	80	valid
3.0ms	14×	body	320	valid
2.0ms	15×	body	160	valid

simplify19.0ms

Counts

1 → 1

Iterations

Iter	Nodes
3	28
2	28
1	23
0	6

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.3b

localize36.0ms

Local error

Found 3 expressions with local error:

0.3b	(cbrt (+ x 1))
0.6b	(cbrt x)
4.3b	(- (cbrt (+ x 1)) (cbrt x))

rewrite37.0ms

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:

3.0ms	(cbrt (+ x 1))
1.0ms	(cbrt x)
33.0ms	(- (cbrt (+ x 1)) (cbrt x))

series456.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(cbrt (+ x 1))
264.0ms	(cbrt x)
138.0ms	(- (cbrt (+ x 1)) (cbrt x))

simplify1.7s

Counts

56 → 56

Iterations

Iter	Nodes
4	3830
3	1700
2	859
1	476
0	121

prune477.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.3b

localize25.0ms

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)

rewrite14.0ms

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)
2.0ms	(cbrt x)

series694.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(cbrt (+ 1 x))
36.0ms	(cbrt (+ 1 x))
269.0ms	(cbrt x)
329.0ms	(cbrt x)

simplify760.0ms

Counts

66 → 66

Iterations

Iter	Nodes
4	2124
3	1035
2	550
1	313
0	82

prune760.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.2b

localize37.0ms

Local error

Found 4 expressions with local error:

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

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

24×	`cbrt-div`
18×	`cbrt-prod`
10×	`*-un-lft-identity`
8×	`add-sqr-sqrt` `add-cube-cbrt`
7×	`flip3-+` `flip-+`
4×	`frac-times` `pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `insert-posit16` `add-log-exp`
2×	`associate-l/` `associate-r/`
1×	`distribute-lft-out`

Counts

4 → 60

Calls

4 calls:

16.0ms	(cbrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))
3.0ms	(cbrt (cbrt (+ 1 x)))
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series700.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(cbrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))
37.0ms	(cbrt (cbrt (+ 1 x)))
293.0ms	(cbrt x)
311.0ms	(cbrt x)

simplify1.3s

Counts

72 → 72

Iterations

Iter	Nodes
4	3154
3	1678
2	939
1	565
0	153

prune1.0s

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 0.1b

localize68.0ms

Local error

Found 4 expressions with local error:

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

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

364×	`cbrt-div`
144×	`sqrt-div`
136×	`frac-times`
109×	`flip3-+` `flip-+`
44×	`associate-l/` `associate-r/`
32×	`add-sqr-sqrt`
30×	`sqrt-prod`
27×	`cbrt-prod`
19×	`pow1`
18×	`*-un-lft-identity`
16×	`add-cube-cbrt`
14×	`sqrt-pow1`
9×	`pow1/3` `swap-sqr` `unswap-sqr`
8×	`pow1/2`
7×	`associate-r` `associate-l`
6×	`add-cbrt-cube` `add-exp-log` `pow-prod-up`
4×	`pow-prod-down` `pow-sqr` `insert-posit16` `add-log-exp`
1×	`pow2` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out`

Counts

4 → 183

Calls

4 calls:

3.0ms	(cbrt (cbrt (+ 1 x)))
47.0ms	(* (sqrt (cbrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) (sqrt (cbrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))))
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series1.1s

Counts

4 → 12

Calls

4 calls:

57.0ms	(cbrt (cbrt (+ 1 x)))
446.0ms	(* (sqrt (cbrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) (sqrt (cbrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))))
277.0ms	(cbrt x)
278.0ms	(cbrt x)

simplify1.3s

Counts

195 → 195

Iterations

Iter	Nodes
3	2625
2	1683
1	1113
0	330

prune3.4s

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 0.1b

regimes88.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
2	16
1	16
0	10

end0.0ms

sample1.2s

Algorithm

intervals

Results

517.0ms	1666×	body	1280	valid
261.0ms	1228×	body	640	valid
180.0ms	4166×	body	80	valid
122.0ms	638×	body	320	valid
57.0ms	302×	body	160	valid