Details

sample32.0ms

Algorithm

intervals

Results

9.0ms	54×	body	1280	valid
6.0ms	47×	body	640	valid
4.0ms	118×	body	80	valid
2.0ms	28×	body	320	valid
0.0ms	9×	body	160	valid

simplify8.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	10
2	10
1	9
0	6

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 32.9b

localize36.0ms

Local error

Found 3 expressions with local error:

0.3b	(cbrt (+ x 1.0))
0.5b	(cbrt x)
3.8b	(- (cbrt (+ x 1.0)) (cbrt x))

rewrite75.0ms

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` `distribute-lft-out--`
2×	`cbrt-div` `pow1/3` `distribute-lft-out`
1×	`sub-neg` `flip3-+` `flip3--` `diff-log` `flip-+` `flip--`

Counts

3 → 44

Calls

3 calls:

6.0ms	(cbrt (+ x 1.0))
1.0ms	(cbrt x)
64.0ms	(- (cbrt (+ x 1.0)) (cbrt x))

series720.0ms

Counts

3 → 9

Calls

3 calls:

135.0ms	(cbrt (+ x 1.0))
322.0ms	(cbrt x)
262.0ms	(- (cbrt (+ x 1.0)) (cbrt x))

simplify2.0s

Counts

53 → 53

Iterations

Iter	Nodes
done	5002
3	1976
2	725
1	307
0	131

prune254.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.4b

localize43.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (+ 1.0 x))
0.3b	(* (cbrt x) (+ (cbrt x) (cbrt (+ 1.0 x))))
0.5b	(cbrt x)
0.5b	(cbrt x)

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
18×	`cbrt-prod`
14×	`add-sqr-sqrt`
10×	`add-cube-cbrt`
6×	`pow1` `associate-r` `associate-l` `add-exp-log`
5×	`add-cbrt-cube` `distribute-lft-out`
4×	`add-log-exp`
3×	`pow1/3`
2×	`cbrt-div` `flip3-+` `associate-*r/` `flip-+` `unswap-sqr`
1×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 65

Calls

4 calls:

3.0ms	(cbrt (+ 1.0 x))
90.0ms	(* (cbrt x) (+ (cbrt x) (cbrt (+ 1.0 x))))
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series851.0ms

Counts

4 → 12

Calls

4 calls:

116.0ms	(cbrt (+ 1.0 x))
223.0ms	(* (cbrt x) (+ (cbrt x) (cbrt (+ 1.0 x))))
253.0ms	(cbrt x)
259.0ms	(cbrt x)

simplify2.1s

Counts

77 → 77

Iterations

Iter	Nodes
done	5001
2	1472
1	452
0	171

prune434.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.1b

localize89.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (cbrt (+ 1.0 x)))
0.3b	(* (cbrt x) (+ (cbrt x) (* (* (cbrt (cbrt (+ 1.0 x))) (cbrt (cbrt (+ 1.0 x)))) (cbrt (cbrt (+ 1.0 x))))))
0.5b	(cbrt x)
0.5b	(cbrt x)

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

21×	`cbrt-prod`
15×	`add-sqr-sqrt`
13×	`*-un-lft-identity`
11×	`add-cube-cbrt`
6×	`pow1` `associate-l` `add-exp-log`
5×	`add-cbrt-cube`
4×	`cbrt-div` `add-log-exp`
3×	`pow1/3` `associate-r`
2×	`flip3-+` `associate-*r/` `flip-+` `unswap-sqr`
1×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out`

Counts

4 → 65

Calls

4 calls:

4.0ms	(cbrt (cbrt (+ 1.0 x)))
24.0ms	(* (cbrt x) (+ (cbrt x) (* (* (cbrt (cbrt (+ 1.0 x))) (cbrt (cbrt (+ 1.0 x)))) (cbrt (cbrt (+ 1.0 x))))))
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series869.0ms

Counts

4 → 12

Calls

4 calls:

121.0ms	(cbrt (cbrt (+ 1.0 x)))
239.0ms	(* (cbrt x) (+ (cbrt x) (* (* (cbrt (cbrt (+ 1.0 x))) (cbrt (cbrt (+ 1.0 x)))) (cbrt (cbrt (+ 1.0 x))))))
260.0ms	(cbrt x)
248.0ms	(cbrt x)

simplify1.6s

Counts

77 → 77

Iterations

Iter	Nodes
done	5000
2	1599
1	512
0	196

prune437.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.1b

localize143.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt x)
0.5b	(cbrt x)
0.5b	(cbrt x)
0.5b	(cbrt x)

rewrite4.0ms

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` `add-log-exp`

Counts

4 → 44

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series936.0ms

Counts

4 → 12

Calls

4 calls:

252.0ms	(cbrt x)
210.0ms	(cbrt x)
248.0ms	(cbrt x)
227.0ms	(cbrt x)

simplify4.1s

Counts

56 → 56

Iterations

Iter	Nodes
done	5000
6	4494
5	1126
4	390
3	175
2	94
1	44
0	24

prune426.0ms

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 0.1b

regimes119.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	14
1	14
0	10

end0.0ms

sample1.5s

Algorithm

intervals

Results

559.0ms	4079×	body	80	valid
498.0ms	1747×	body	1280	valid
168.0ms	1243×	body	640	valid
66.0ms	625×	body	320	valid
20.0ms	306×	body	160	valid