Details

sample64.0ms

Algorithm

intervals

Results

18.0ms	64×	body	1280	valid
10.0ms	6×	body	160	valid
9.0ms	138×	body	80	valid
5.0ms	26×	body	640	valid
4.0ms	22×	body	320	valid

simplify3.0ms

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.4b

localize14.0ms

Local error

Found 3 expressions with local error:

0.3b	(cbrt (+ x 1.0))
0.6b	(cbrt x)
2.7b	(- (cbrt (+ x 1.0)) (cbrt x))

rewrite72.0ms

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:

14.0ms	(cbrt (+ x 1.0))
1.0ms	(cbrt x)
53.0ms	(- (cbrt (+ x 1.0)) (cbrt x))

series623.0ms

Counts

3 → 9

Calls

3 calls:

139.0ms	(cbrt (+ x 1.0))
284.0ms	(cbrt x)
200.0ms	(- (cbrt (+ x 1.0)) (cbrt x))

simplify66.0ms

Counts: 53 → 53

prune232.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 11.4b

localize33.0ms

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)
2.7b	(- (cbrt (+ x 1.0)) (cbrt x))

rewrite176.0ms

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:

80.0ms	(pow (- (cbrt (+ x 1.0)) (cbrt x)) 3)
8.0ms	(cbrt (+ x 1.0))
2.0ms	(cbrt x)
83.0ms	(- (cbrt (+ x 1.0)) (cbrt x))

series884.0ms

Counts

4 → 12

Calls

4 calls:

277.0ms	(pow (- (cbrt (+ x 1.0)) (cbrt x)) 3)
119.0ms	(cbrt (+ x 1.0))
241.0ms	(cbrt x)
247.0ms	(- (cbrt (+ x 1.0)) (cbrt x))

simplify69.0ms

Counts: 95 → 95

prune396.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 8.6b

localize32.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
2.7b	(- (cbrt (+ x 1.0)) (cbrt x))
2.7b	(- (cbrt (+ x 1.0)) (cbrt x))
2.7b	(- (cbrt (+ x 1.0)) (cbrt x))

rewrite170.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt`
27×	`cbrt-prod`
26×	`*-un-lft-identity`
12×	`difference-of-squares`
10×	`add-log-exp`
9×	`distribute-lft-out--`
5×	`add-cube-cbrt`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`sub-neg` `flip3--` `diff-log` `flip--` `distribute-lft-out`
1×	`pow1/3`

Counts

4 → 68

Calls

4 calls:

2.0ms	(cbrt x)
64.0ms	(- (cbrt (+ x 1.0)) (cbrt x))
50.0ms	(- (cbrt (+ x 1.0)) (cbrt x))
51.0ms	(- (cbrt (+ x 1.0)) (cbrt x))

series865.0ms

Counts

4 → 12

Calls

4 calls:

227.0ms	(cbrt x)
201.0ms	(- (cbrt (+ x 1.0)) (cbrt x))
224.0ms	(- (cbrt (+ x 1.0)) (cbrt x))
214.0ms	(- (cbrt (+ x 1.0)) (cbrt x))

simplify54.0ms

Counts: 80 → 80

prune465.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 8.6b

localize32.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (cbrt x))
2.7b	(- (cbrt (+ x 1.0)) (cbrt x))
2.7b	(- (cbrt (+ x 1.0)) (cbrt x))
21.0b	(- (cbrt (+ x 1.0)) (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x))))

rewrite222.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 64

Calls

4 calls:

1.0ms	(cbrt (cbrt x))
66.0ms	(- (cbrt (+ x 1.0)) (cbrt x))
56.0ms	(- (cbrt (+ x 1.0)) (cbrt x))
97.0ms	(- (cbrt (+ x 1.0)) (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x))))

series1.6s

Counts

4 → 12

Calls

4 calls:

808.0ms	(cbrt (cbrt x))
232.0ms	(- (cbrt (+ x 1.0)) (cbrt x))
243.0ms	(- (cbrt (+ x 1.0)) (cbrt x))
277.0ms	(- (cbrt (+ x 1.0)) (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x))))

simplify88.0ms

Counts: 76 → 76

prune517.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 8.6b

regimes62.0ms

Accuracy

97.9% (0.5b remaining)

Error of 8.7b against oracle of 8.2b and baseline of 30.0b

bsearch80.0ms

Steps

Iters	Range		Point
10	1.5265582717444966e-05	421651.551737869	0.0012730151155140351
9	-3616.0534617336225	-0.01082959410075795	-1.0092562762862982

simplify50.0ms

end0.0ms

sample1.3s

Algorithm

intervals

Results

402.0ms	1689×	body	1280	valid
274.0ms	4075×	body	80	valid
250.0ms	1241×	body	640	valid
125.0ms	626×	body	320	valid
29.0ms	369×	body	160	valid