Details

sample19.0ms

Algorithm

intervals

Results

6.0ms	57×	body	1280	valid
3.0ms	39×	body	640	valid
3.0ms	133×	body	80	valid
1.0ms	19×	body	320	valid
0.0ms	8×	body	160	valid

simplify4.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	7
1	9	7
2	10	7
done	10	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.0b

localize5.0ms

Local error

Found 3 expressions with local error:

0.3b	(cbrt (+ x 1.0))
0.6b	(cbrt x)
2.8b	(- (cbrt (+ x 1.0)) (cbrt x))

rewrite28.0ms

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-exp-log` `add-cbrt-cube` `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:

2.0ms	(cbrt (+ x 1.0))
1.0ms	(cbrt x)
24.0ms	(- (cbrt (+ x 1.0)) (cbrt x))

series423.0ms

Counts

3 → 9

Calls

3 calls:

89.0ms	(cbrt (+ x 1.0))
185.0ms	(cbrt x)
149.0ms	(- (cbrt (+ x 1.0)) (cbrt x))

simplify1.9s

Counts

53 → 53

Iterations

Useful iterations: 3 (376.0ms)

Iter	Nodes	Cost
0	131	649
1	293	597
2	920	573
3	4319	539
done	5000	539

prune137.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 7.7b

localize8.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
2.8b	(- (cbrt (+ x 1.0)) (cbrt x))
2.8b	(- (cbrt (+ x 1.0)) (cbrt x))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

22×	`cbrt-prod` `add-sqr-sqrt`
20×	`*-un-lft-identity`
8×	`add-log-exp` `difference-of-squares`
6×	`add-cube-cbrt` `distribute-lft-out--`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
2×	`sub-neg` `flip3--` `pow1/3` `diff-log` `flip--` `distribute-lft-out`

Counts

4 → 60

Calls

4 calls:

0.0ms	(cbrt x)
1.0ms	(cbrt x)
24.0ms	(- (cbrt (+ x 1.0)) (cbrt x))
22.0ms	(- (cbrt (+ x 1.0)) (cbrt x))

series857.0ms

Counts

4 → 12

Calls

4 calls:

375.0ms	(cbrt x)
185.0ms	(cbrt x)
145.0ms	(- (cbrt (+ x 1.0)) (cbrt x))
152.0ms	(- (cbrt (+ x 1.0)) (cbrt x))

simplify1.4s

Counts

72 → 72

Iterations

Useful iterations: 3 (298.0ms)

Iter	Nodes	Cost
0	108	856
1	239	794
2	736	752
3	3477	712
done	5000	712

prune228.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 7.7b

localize8.0ms

Local error

Found 4 expressions with local error:

0.1b	(pow (- (cbrt (+ x 1.0)) (cbrt x)) 3)
0.3b	(cbrt (+ x 1.0))
0.6b	(cbrt x)
2.8b	(- (cbrt (+ x 1.0)) (cbrt x))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-sqr-sqrt`
32×	`*-un-lft-identity`
31×	`cbrt-prod`
12×	`difference-of-squares`
10×	`unpow-prod-down` `cube-prod`
9×	`add-cube-cbrt` `distribute-lft-out--`
6×	`add-log-exp`
5×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`distribute-lft-out`
3×	`pow-unpow`
2×	`cube-div` `cbrt-div` `flip3--` `pow1/3` `flip--`
1×	`cube-mult` `pow-to-exp` `sub-neg` `pow-pow` `flip3-+` `diff-log` `unpow3` `pow-exp` `flip-+` `rem-cube-cbrt` `sqr-pow`

Counts

4 → 83

Calls

4 calls:

26.0ms	(pow (- (cbrt (+ x 1.0)) (cbrt x)) 3)
2.0ms	(cbrt (+ x 1.0))
0.0ms	(cbrt x)
21.0ms	(- (cbrt (+ x 1.0)) (cbrt x))

series621.0ms

Counts

4 → 12

Calls

4 calls:

212.0ms	(pow (- (cbrt (+ x 1.0)) (cbrt x)) 3)
87.0ms	(cbrt (+ x 1.0))
178.0ms	(cbrt x)
144.0ms	(- (cbrt (+ x 1.0)) (cbrt x))

simplify892.0ms

Counts

95 → 95

Iterations

Useful iterations: 2 (226.0ms)

Iter	Nodes	Cost
0	255	1596
1	709	1441
2	2939	1368
done	5000	1368

prune266.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 7.5b

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (+ x 1.0))
0.6b	(cbrt x)
0.6b	(cbrt x)
1.7b	(- (+ x 1.0) x)

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

14×	`*-un-lft-identity`
10×	`cbrt-prod`
9×	`add-sqr-sqrt` `add-log-exp`
7×	`add-cube-cbrt`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`pow1/3`
2×	`cbrt-div` `diff-log` `distribute-lft-out` `distribute-lft-out--`
1×	`sub-neg` `flip3--` `flip3-+` `associate--l+` `sum-log` `flip--` `flip-+` `difference-of-squares`

Counts

4 → 53

Calls

4 calls:

2.0ms	(cbrt (+ x 1.0))
0.0ms	(cbrt x)
0.0ms	(cbrt x)
18.0ms	(- (+ x 1.0) x)

series438.0ms

Counts

4 → 12

Calls

4 calls:

87.0ms	(cbrt (+ x 1.0))
178.0ms	(cbrt x)
172.0ms	(cbrt x)
1.0ms	(- (+ x 1.0) x)

simplify871.0ms

Counts

65 → 65

Iterations

Useful iterations: 3 (232.0ms)

Iter	Nodes	Cost
0	119	502
1	255	479
2	699	446
3	2323	386
done	5001	386

prune196.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 7.4b

regimes100.0ms

Accuracy

96.2% (0.3b remaining)

Error of 8.1b against oracle of 7.9b and baseline of 14.6b

bsearch40.0ms

Steps

Iters	Range		Point
8	3.448357317539609e+151	3.47976288588535e+155	1.8586209989721385e+154

simplify3.0ms

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	27	53
1	36	49
2	42	49
done	42	49

end0.0ms

sample499.0ms

Algorithm

intervals

Results

171.0ms	1666×	body	1280	valid
97.0ms	1210×	body	640	valid
82.0ms	4089×	body	80	valid
38.0ms	669×	body	320	valid
14.0ms	366×	body	160	valid