Details

sample20.0ms

Algorithm

intervals

Results

6.0ms	67×	body	1280	valid
3.0ms	130×	body	80	valid
2.0ms	32×	body	640	valid
1.0ms	21×	body	320	valid
0.0ms	6×	body	160	valid

simplify4.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	4
1	10	4
2	10	4
done	10	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.3b

localize5.0ms

Local error

Found 3 expressions with local error:

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

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

64×	`cbrt-prod`
56×	`*-un-lft-identity`
42×	`prod-diff`
41×	`add-sqr-sqrt`
33×	`add-cube-cbrt`
9×	`distribute-lft-out`
7×	`fma-neg`
5×	`add-log-exp`
4×	`difference-of-squares`
3×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `distribute-lft-out--`
2×	`cbrt-div` `pow1/3`
1×	`sub-neg` `flip3--` `flip3-+` `diff-log` `flip--` `flip-+`

Counts

3 → 99

Calls

3 calls:

4.0ms	(cbrt (+ x 1.0))
1.0ms	(cbrt x)
50.0ms	(- (cbrt (+ x 1.0)) (cbrt x))

series403.0ms

Counts

3 → 9

Calls

3 calls:

86.0ms	(cbrt (+ x 1.0))
172.0ms	(cbrt x)
145.0ms	(- (cbrt (+ x 1.0)) (cbrt x))

simplify51.0ms

Counts

108 → 108

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	430	1315
1	1394	1045
2	5001	981
done	5001	981

prune235.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 20.8b

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt (* (cbrt x) (cbrt x)))
8.5b	(- (cbrt (+ x 1.0)) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x))))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

15×	`cbrt-prod`
14×	`*-un-lft-identity`
10×	`add-sqr-sqrt` `add-cube-cbrt`
7×	`fma-neg` `prod-diff`
6×	`add-log-exp`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
3×	`pow1/3`
2×	`distribute-lft-out`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

4 → 65

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
5.0ms	(cbrt (* (cbrt x) (cbrt x)))
56.0ms	(- (cbrt (+ x 1.0)) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x))))

series785.0ms

Counts

4 → 12

Calls

4 calls:

180.0ms	(cbrt x)
184.0ms	(cbrt x)
269.0ms	(cbrt (* (cbrt x) (cbrt x)))
151.0ms	(- (cbrt (+ x 1.0)) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x))))

simplify100.0ms

Counts

77 → 77

Iterations

Useful iterations: 3 (94.0ms)

Iter	Nodes	Cost
0	311	707
1	904	622
2	3506	606
3	5001	605
done	5001	605

prune254.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 20.8b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt (* (cbrt x) (cbrt x)))
0.6b	(cbrt (* (cbrt x) (cbrt x)))
1.2b	(- (+ x 1.0) x)

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

26×	`*-un-lft-identity`
15×	`add-sqr-sqrt`
13×	`add-cube-cbrt`
12×	`prod-diff`
9×	`add-log-exp`
5×	`cbrt-prod` `distribute-lft-out`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `fma-neg` `add-cbrt-cube` `log1p-expm1-u`
3×	`pow1/3`
2×	`diff-log` `distribute-lft-out--`
1×	`sub-neg` `flip3--` `associate--l+` `sum-log` `flip--` `difference-of-squares`

Counts

4 → 70

Calls

4 calls:

1.0ms	(cbrt x)
5.0ms	(cbrt (* (cbrt x) (cbrt x)))
5.0ms	(cbrt (* (cbrt x) (cbrt x)))
43.0ms	(- (+ x 1.0) x)

series724.0ms

Counts

4 → 12

Calls

4 calls:

180.0ms	(cbrt x)
269.0ms	(cbrt (* (cbrt x) (cbrt x)))
273.0ms	(cbrt (* (cbrt x) (cbrt x)))
1.0ms	(- (+ x 1.0) x)

simplify152.0ms

Counts

82 → 82

Iterations

Useful iterations: 3 (148.0ms)

Iter	Nodes	Cost
0	200	423
1	686	296
2	4786	260
3	5001	251
done	5001	251

prune284.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.5b

localize23.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt (* (cbrt x) (cbrt x)))
0.6b	(cbrt (* (cbrt x) (cbrt x)))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

8×	`cbrt-prod`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 48

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
5.0ms	(cbrt (* (cbrt x) (cbrt x)))
5.0ms	(cbrt (* (cbrt x) (cbrt x)))

series894.0ms

Counts

4 → 12

Calls

4 calls:

180.0ms	(cbrt x)
177.0ms	(cbrt x)
272.0ms	(cbrt (* (cbrt x) (cbrt x)))
266.0ms	(cbrt (* (cbrt x) (cbrt x)))

simplify82.0ms

Counts

60 → 60

Iterations

Useful iterations: 4 (79.0ms)

Iter	Nodes	Cost
0	82	232
1	172	208
2	563	196
3	2341	196
4	5002	194
done	5002	194

prune261.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 0.2b

regimes108.0ms

Accuracy

0% (0.3b remaining)

Error of 0.6b against oracle of 0.3b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	31
1	32	31
2	32	31
done	32	31

end0.0ms

sample512.0ms

Algorithm

intervals

Results

169.0ms	1777×	body	1280	valid
92.0ms	1243×	body	640	valid
79.0ms	4062×	body	80	valid
33.0ms	625×	body	320	valid
11.0ms	293×	body	160	valid