Details

sample26.0ms

Algorithm

intervals

Results

8.0ms	48×	body	1280	valid
4.0ms	131×	body	80	valid
4.0ms	34×	body	640	valid
3.0ms	29×	body	320	valid
1.0ms	14×	body	160	valid

simplify4.0ms

Counts

1 → 1

Iterations

Iter	Nodes
3	10
2	10
1	9
0	6

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.6b

localize32.0ms

Local error

Found 3 expressions with local error:

0.3b	(cbrt (+ x 1))
0.6b	(cbrt x)
4.5b	(- (cbrt (+ x 1)) (cbrt x))

rewrite51.0ms

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)
47.0ms	(- (cbrt (+ x 1)) (cbrt x))

series396.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(cbrt (+ x 1))
244.0ms	(cbrt x)
111.0ms	(- (cbrt (+ x 1)) (cbrt x))

simplify1.8s

Counts

56 → 56

Iterations

Iter	Nodes
4	3308
3	1295
2	562
1	259
0	121

prune451.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.4b

localize49.0ms

Local error

Found 4 expressions with local error:

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

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

38×	`cbrt-prod` `*-un-lft-identity`
29×	`add-sqr-sqrt`
17×	`add-cube-cbrt`
13×	`pow1` `associate-r` `associate-l`
12×	`cbrt-div`
10×	`distribute-lft-out`
9×	`swap-sqr`
8×	`pow1/3` `add-exp-log`
7×	`flip3-+` `flip-+`
6×	`unswap-sqr`
5×	`add-cbrt-cube`
4×	`frac-times` `associate-*r/` `insert-posit16` `add-log-exp`
3×	`pow-prod-down`
2×	`associate-l/` `prod-exp` `pow-sqr` `-commutative` `pow-prod-up` `cbrt-unprod`
1×	`pow2` `distribute-rgt-in` `distribute-lft-in` `pow-plus`

Counts

4 → 108

Calls

4 calls:

21.0ms	(* (cbrt (+ 1 x)) (cbrt (+ 1 x)))
71.0ms	(* (cbrt x) (+ (cbrt (+ 1 x)) (cbrt x)))
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series780.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(* (cbrt (+ 1 x)) (cbrt (+ 1 x)))
183.0ms	(* (cbrt x) (+ (cbrt (+ 1 x)) (cbrt x)))
261.0ms	(cbrt x)
280.0ms	(cbrt x)

simplify2.9s

Counts

120 → 120

Iterations

Iter	Nodes
3	5214
2	1514
1	459
0	185

prune1.3s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.1b

localize76.0ms

Local error

Found 4 expressions with local error:

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

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

28×	`cbrt-prod`
14×	`*-un-lft-identity`
10×	`add-sqr-sqrt` `add-cube-cbrt`
8×	`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 → 60

Calls

4 calls:

5.0ms	(cbrt (cbrt (+ 1 x)))
6.0ms	(cbrt (cbrt (+ 1 x)))
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series674.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(cbrt (cbrt (+ 1 x)))
61.0ms	(cbrt (cbrt (+ 1 x)))
270.0ms	(cbrt x)
284.0ms	(cbrt x)

simplify1.1s

Counts

72 → 72

Iterations

Iter	Nodes
4	2067
3	854
2	390
1	187
0	99

prune973.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 0.1b

localize62.0ms

Local error

Found 4 expressions with local error:

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

rewrite128.0ms

Algorithm

rewrite-expression-head

Rules

38×	`cbrt-prod` `*-un-lft-identity`
29×	`add-sqr-sqrt`
17×	`add-cube-cbrt`
13×	`pow1` `associate-r` `associate-l`
12×	`cbrt-div`
10×	`distribute-lft-out`
9×	`swap-sqr`
8×	`pow1/3` `add-exp-log`
7×	`flip3-+` `flip-+`
6×	`unswap-sqr`
5×	`add-cbrt-cube`
4×	`frac-times` `associate-*r/` `insert-posit16` `add-log-exp`
3×	`pow-prod-down`
2×	`associate-l/` `prod-exp` `pow-sqr` `-commutative` `pow-prod-up` `cbrt-unprod`
1×	`pow2` `distribute-rgt-in` `distribute-lft-in` `pow-plus`

Counts

4 → 108

Calls

4 calls:

26.0ms	(* (cbrt (+ 1 x)) (cbrt (+ 1 x)))
99.0ms	(* (cbrt x) (+ (cbrt (+ 1 x)) (cbrt x)))
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series825.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(* (cbrt (+ 1 x)) (cbrt (+ 1 x)))
185.0ms	(* (cbrt x) (+ (cbrt (+ 1 x)) (cbrt x)))
312.0ms	(cbrt x)
290.0ms	(cbrt x)

simplify3.2s

Counts

120 → 120

Iterations

Iter	Nodes
3	5214
2	1514
1	459
0	185

prune1.5s

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 0.1b

regimes133.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 0.6b

bsearch0.0ms

simplify7.0ms

Iterations

Iter	Nodes
2	24
1	24
0	17

end0.0ms

sample1.7s

Algorithm

intervals

Results

854.0ms	1715×	body	1280	valid
365.0ms	1260×	body	640	valid
224.0ms	4101×	body	80	valid
85.0ms	625×	body	320	valid
27.0ms	299×	body	160	valid