Details

sample38.0ms

Algorithm

intervals

Results

13.0ms	55×	body	1280	valid
6.0ms	136×	body	80	valid
6.0ms	32×	body	640	valid
3.0ms	22×	body	320	valid
1.0ms	11×	body	160	valid

simplify5.0ms

Counts

1 → 1

Iterations

Iter	Nodes
3	12
2	12
1	11
0	6

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.3b

localize11.0ms

Local error

Found 3 expressions with local error:

0.2b	(cbrt (+ x 1))
0.6b	(cbrt x)
3.1b	(- (cbrt (+ x 1)) (cbrt x))

rewrite41.0ms

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:

2.0ms	(cbrt (+ x 1))
1.0ms	(cbrt x)
37.0ms	(- (cbrt (+ x 1)) (cbrt x))

series857.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(cbrt (+ x 1))
302.0ms	(cbrt x)
512.0ms	(- (cbrt (+ x 1)) (cbrt x))

simplify1.7s

Counts

56 → 56

Iterations

Iter	Nodes
4	3094
3	1290
2	564
1	261
0	121

prune447.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.4b

localize27.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (+ 1 x)) (cbrt (+ 1 x)))
0.3b	(* (cbrt x) (+ (cbrt (+ 1 x)) (cbrt x)))
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite93.0ms

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:

25.0ms	(* (cbrt (+ 1 x)) (cbrt (+ 1 x)))
63.0ms	(* (cbrt x) (+ (cbrt (+ 1 x)) (cbrt x)))
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series850.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(* (cbrt (+ 1 x)) (cbrt (+ 1 x)))
151.0ms	(* (cbrt x) (+ (cbrt (+ 1 x)) (cbrt x)))
288.0ms	(cbrt x)
350.0ms	(cbrt x)

simplify2.0s

Counts

120 → 120

Iterations

Iter	Nodes
3	4155
2	1462
1	460
0	185

prune1.2s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.1b

localize27.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (+ 1 x)) (cbrt (+ 1 x)))
0.3b	(* (cbrt x) (+ (cbrt (+ 1 x)) (cbrt x)))
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite81.0ms

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:

23.0ms	(* (cbrt (+ 1 x)) (cbrt (+ 1 x)))
55.0ms	(* (cbrt x) (+ (cbrt (+ 1 x)) (cbrt x)))
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series766.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(* (cbrt (+ 1 x)) (cbrt (+ 1 x)))
179.0ms	(* (cbrt x) (+ (cbrt (+ 1 x)) (cbrt x)))
270.0ms	(cbrt x)
255.0ms	(cbrt x)

simplify2.0s

Counts

120 → 120

Iterations

Iter	Nodes
3	4155
2	1462
1	460
0	185

prune1.2s

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.1b

localize78.0ms

Local error

Found 4 expressions with local error:

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

rewrite26.0ms

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:

6.0ms	(cbrt (cbrt (+ 1 x)))
16.0ms	(cbrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))
1.0ms	(cbrt x)
2.0ms	(cbrt x)

series712.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(cbrt (cbrt (+ 1 x)))
60.0ms	(cbrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))
297.0ms	(cbrt x)
292.0ms	(cbrt x)

simplify1.9s

Counts

72 → 72

Iterations

Iter	Nodes
4	2698
3	1241
2	575
1	279
0	153

prune975.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 0.1b

regimes130.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
2	16
1	16
0	10

end0.0ms

sample1.8s

Algorithm

intervals

Results

681.0ms	4015×	body	80	valid
579.0ms	1730×	body	1280	valid
258.0ms	1271×	body	640	valid
101.0ms	653×	body	320	valid
34.0ms	331×	body	160	valid