Details

sample30.0ms

Algorithm

intervals

Results

8.0ms	51×	body	1280	valid
5.0ms	43×	body	640	valid
4.0ms	132×	body	80	valid
2.0ms	19×	body	320	valid
1.0ms	11×	body	160	valid

simplify3.0ms

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: 29.5b

localize20.0ms

Local error

Found 3 expressions with local error:

0.3b	(cbrt (+ x 1.0))
0.5b	(cbrt x)
3.0b	(- (cbrt (+ x 1.0)) (cbrt x))

rewrite62.0ms

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)
53.0ms	(- (cbrt (+ x 1.0)) (cbrt x))

series656.0ms

Counts

3 → 9

Calls

3 calls:

155.0ms	(cbrt (+ x 1.0))
281.0ms	(cbrt x)
219.0ms	(- (cbrt (+ x 1.0)) (cbrt x))

simplify1.9s

Counts

53 → 53

Iterations

Iter	Nodes
done	5002
3	3704
2	938
1	313
0	131

prune278.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 7.3b

localize28.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (+ 1.0 x))
0.5b	(cbrt x)
2.6b	(log (exp (- (cbrt (+ 1.0 x)) (cbrt x))))
3.0b	(- (cbrt (+ 1.0 x)) (cbrt x))

rewrite190.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt` `*-un-lft-identity`
23×	`cbrt-prod`
11×	`log-pow`
10×	`exp-prod`
8×	`add-cube-cbrt` `difference-of-squares`
6×	`distribute-lft-out--` `add-log-exp`
5×	`pow1` `log-prod`
4×	`add-cbrt-cube` `add-exp-log`
3×	`distribute-lft-out`
2×	`cbrt-div` `sub-neg` `pow1/3` `exp-sum`
1×	`log-div` `flip3-+` `flip3--` `exp-diff` `diff-log` `rem-log-exp` `flip-+` `flip--`

Counts

4 → 69

Calls

4 calls:

6.0ms	(cbrt (+ 1.0 x))
1.0ms	(cbrt x)
141.0ms	(log (exp (- (cbrt (+ 1.0 x)) (cbrt x))))
40.0ms	(- (cbrt (+ 1.0 x)) (cbrt x))

series735.0ms

Counts

4 → 12

Calls

4 calls:

100.0ms	(cbrt (+ 1.0 x))
233.0ms	(cbrt x)
206.0ms	(log (exp (- (cbrt (+ 1.0 x)) (cbrt x))))
196.0ms	(- (cbrt (+ 1.0 x)) (cbrt x))

simplify2.1s

Counts

81 → 81

Iterations

Iter	Nodes
done	5000
3	3936
2	1068
1	372
0	166

prune554.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.2b

localize40.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt x)
1.3b	(pow (+ 1.0 x) 1/3)
4.4b	(log (exp (- (pow (+ 1.0 x) 1/3) (cbrt x))))
16.0b	(- (pow (+ 1.0 x) 1/3) (cbrt x))

rewrite291.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt`
15×	`*-un-lft-identity`
12×	`difference-of-squares`
11×	`log-pow`
10×	`exp-prod`
9×	`cbrt-prod` `add-cube-cbrt`
8×	`unpow-prod-down`
6×	`pow1` `add-log-exp`
5×	`log-prod` `add-exp-log` `sqr-pow`
4×	`add-cbrt-cube`
3×	`pow-unpow`
2×	`sub-neg` `exp-sum` `distribute-lft-out--`
1×	`pow-to-exp` `log-div` `pow-pow` `flip3--` `exp-diff` `unpow1/3` `pow1/3` `diff-log` `rem-log-exp` `pow-exp` `flip--` `distribute-lft-out`

Counts

4 → 74

Calls

4 calls:

1.0ms	(cbrt x)
8.0ms	(pow (+ 1.0 x) 1/3)
213.0ms	(log (exp (- (pow (+ 1.0 x) 1/3) (cbrt x))))
67.0ms	(- (pow (+ 1.0 x) 1/3) (cbrt x))

series841.0ms

Counts

4 → 12

Calls

4 calls:

227.0ms	(cbrt x)
126.0ms	(pow (+ 1.0 x) 1/3)
260.0ms	(log (exp (- (pow (+ 1.0 x) 1/3) (cbrt x))))
227.0ms	(- (pow (+ 1.0 x) 1/3) (cbrt x))

simplify2.0s

Counts

86 → 86

Iterations

Iter	Nodes
done	5001
3	4283
2	1250
1	428
0	173

prune493.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.2b

localize27.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (+ 1.0 x))
0.3b	(* (cbrt (+ 1.0 x)) (+ (cbrt x) (cbrt (+ 1.0 x))))
0.5b	(cbrt x)
3.2b	(pow x 2/3)

rewrite99.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 78

Calls

4 calls:

3.0ms	(cbrt (+ 1.0 x))
91.0ms	(* (cbrt (+ 1.0 x)) (+ (cbrt x) (cbrt (+ 1.0 x))))
1.0ms	(cbrt x)
2.0ms	(pow x 2/3)

series995.0ms

Counts

4 → 12

Calls

4 calls:

142.0ms	(cbrt (+ 1.0 x))
365.0ms	(* (cbrt (+ 1.0 x)) (+ (cbrt x) (cbrt (+ 1.0 x))))
252.0ms	(cbrt x)
236.0ms	(pow x 2/3)

simplify1.5s

Counts

90 → 90

Iterations

Iter	Nodes
done	5000
2	3124
1	685
0	232

prune554.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.1b

regimes56.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	14
1	14
0	10

end0.0ms

sample1.3s

Algorithm

intervals

Results

496.0ms	4079×	body	80	valid
379.0ms	1679×	body	1280	valid
210.0ms	1318×	body	640	valid
63.0ms	600×	body	320	valid
22.0ms	324×	body	160	valid