Details

analyze56.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
37.5%	50%	12.6%	6
50%	37.5%	12.6%	7
56.2%	25%	18.8%	8
62.4%	18.7%	18.8%	9
65.6%	12.5%	22%	10
68.7%	9.4%	22%	11
70.2%	6.2%	23.5%	12
71.8%	4.7%	23.5%	13
72.6%	3.1%	24.3%	14

sample10.0ms

Algorithm

intervals

Results

5.0ms

256×

body

valid

simplify20.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (6.0ms)

Iter	Nodes	Cost
0	35	10
1	35	10

prune2.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 8.7b

Counts

2 → 1

localize4.0ms

Local error

Found 2 expressions with local error:

0.2b	(.f64 (.f64 x 3) x)
8.2b	(.f64 (.f64 (*.f64 x 3) x) y)

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-cbrt-cube_binary64_1749` `pow1_binary64_1719` `add-exp-log_binary64_1741`
9×	`pow-prod-down_binary64_1700` `prod-exp_binary64_1724` `cbrt-unprod_binary64_1746`
6×	`associate-r_binary64_1836`
4×	`add-sqr-sqrt_binary64_1762` `add-cube-cbrt_binary64_1748` `*-un-lft-identity_binary64_1777`
2×	`associate-l_binary64_1837` `*-commutative_binary64_1845` `add-log-exp_binary64_1742`

Counts

2 → 39

Calls

2 calls:

6.0ms	(.f64 (.f64 x 3) x)
11.0ms	(.f64 (.f64 (*.f64 x 3) x) y)

series176.0ms

Counts

2 → 6

Calls

2 calls:

123.0ms	(.f64 (.f64 x 3) x)
53.0ms	(.f64 (.f64 (*.f64 x 3) x) y)

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	103	9
1	103	9
0	103	9
1	103	9
0	1	3
1	1	3
0	524	9
1	524	9
0	524	9
1	524	9
0	1	3
1	1	3

simplify153.0ms

Counts

45 → 45

Iterations

Useful iterations: 0 (133.0ms)

Iter	Nodes	Cost
0	4865	399
1	4865	399

prune29.0ms

Filtered

25 candidates to 45 candidates (-80.0%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	38	7	45
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	38	8	46

Merged error: 0.1b

Counts

46 → 8

localize5.0ms

Local error

Found 1 expressions with local error:

0.2b	(.f64 (.f64 x 3) (*.f64 x y))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-cbrt-cube_binary64_1749` `pow1_binary64_1719` `add-exp-log_binary64_1741`
8×	`pow-prod-down_binary64_1700` `prod-exp_binary64_1724` `cbrt-unprod_binary64_1746`
1×	`associate-r_binary64_1836` `associate-l_binary64_1837` `-commutative_binary64_1845` `add-sqr-sqrt_binary64_1762` `add-cube-cbrt_binary64_1748` `add-log-exp_binary64_1742` `-un-lft-identity_binary64_1777`

Counts

1 → 22

Calls

1 calls:

8.0ms

(*.f64 (*.f64 x 3) (*.f64 x y))

series51.0ms

Counts

1 → 3

Calls

1 calls:

51.0ms

(*.f64 (*.f64 x 3) (*.f64 x y))

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	97	9
1	97	9
0	97	9
1	97	9
0	1	3
1	1	3

simplify105.0ms

Counts

25 → 25

Iterations

Useful iterations: 0 (85.0ms)

Iter	Nodes	Cost
0	5022	256

prune11.0ms

Filtered

12 candidates to 25 candidates (-108.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	24	1	25
Fresh	4	2	6
Picked	0	1	1
Done	0	1	1
Total	28	5	33

Merged error: 0.0b

Counts

33 → 5

localize4.0ms

Local error

Found 2 expressions with local error:

0.1b	(.f64 x (.f64 3 (*.f64 x y)))
0.2b	(.f64 3 (.f64 x y))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-cbrt-cube_binary64_1749` `pow1_binary64_1719` `add-exp-log_binary64_1741`
9×	`pow-prod-down_binary64_1700` `prod-exp_binary64_1724` `cbrt-unprod_binary64_1746`
6×	`associate-l_binary64_1837`
4×	`add-sqr-sqrt_binary64_1762` `add-cube-cbrt_binary64_1748` `*-un-lft-identity_binary64_1777`
2×	`associate-r_binary64_1836` `*-commutative_binary64_1845` `add-log-exp_binary64_1742`

Counts

2 → 39

Calls

2 calls:

9.0ms	(.f64 x (.f64 3 (*.f64 x y)))
6.0ms	(.f64 3 (.f64 x y))

series111.0ms

Counts

2 → 6

Calls

2 calls:

57.0ms	(.f64 x (.f64 3 (*.f64 x y)))
54.0ms	(.f64 3 (.f64 x y))

Iterations

Useful iterations: 0 (6.0ms)

Iter	Nodes	Cost
0	81	9
1	81	9
0	81	9
1	81	9
0	1	3
1	1	3
0	103	9
1	103	9
0	103	9
1	103	9
0	1	3
1	1	3

simplify86.0ms

Counts

45 → 45

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	5224	404

prune22.0ms

Filtered

24 candidates to 45 candidates (-87.5%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	42	3	45
Fresh	1	1	2
Picked	0	1	1
Done	0	2	2
Total	43	7	50

Merged error: 0.0b

Counts

50 → 7

localize8.0ms

Local error

Found 3 expressions with local error:

0.1b	(.f64 x (.f64 (.f64 (cbrt.f64 3) (cbrt.f64 3)) (.f64 (*.f64 x y) (cbrt.f64 3))))
0.2b	(.f64 (.f64 (cbrt.f64 3) (cbrt.f64 3)) (.f64 (.f64 x y) (cbrt.f64 3)))
0.3b	(.f64 (.f64 x y) (cbrt.f64 3))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

58×	`pow1_binary64_1719` `add-exp-log_binary64_1741`
40×	`pow-prod-down_binary64_1700` `prod-exp_binary64_1724` `cbrt-unprod_binary64_1746`
36×	`add-cbrt-cube_binary64_1749`
8×	`associate-r_binary64_1836`
6×	`add-sqr-sqrt_binary64_1762` `add-cube-cbrt_binary64_1748` `*-un-lft-identity_binary64_1777`
5×	`associate-l_binary64_1837`
3×	`*-commutative_binary64_1845` `cbrt-prod_binary64_1744` `add-log-exp_binary64_1742`

Counts

3 → 82

Calls

3 calls:

19.0ms	(.f64 x (.f64 (.f64 (cbrt.f64 3) (cbrt.f64 3)) (.f64 (*.f64 x y) (cbrt.f64 3))))
15.0ms	(.f64 (.f64 (cbrt.f64 3) (cbrt.f64 3)) (.f64 (.f64 x y) (cbrt.f64 3)))
7.0ms	(.f64 (.f64 x y) (cbrt.f64 3))

series167.0ms

Counts

3 → 9

Calls

3 calls:

55.0ms	(.f64 x (.f64 (.f64 (cbrt.f64 3) (cbrt.f64 3)) (.f64 (*.f64 x y) (cbrt.f64 3))))
56.0ms	(.f64 (.f64 (cbrt.f64 3) (cbrt.f64 3)) (.f64 (.f64 x y) (cbrt.f64 3)))
55.0ms	(.f64 (.f64 x y) (cbrt.f64 3))

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	83	9
1	83	9
0	83	9
1	83	9
0	1	3
1	1	3
0	125	9
1	125	9
0	125	9
1	125	9
0	1	3
1	1	3
0	147	9
1	147	9
0	147	9
1	147	9
0	1	3
1	1	3

simplify105.0ms

Counts

91 → 91

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	4967	873
1	4967	873

prune37.0ms

Filtered

43 candidates to 91 candidates (-111.6%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	89	2	91
Fresh	1	2	3
Picked	1	0	1
Done	0	3	3
Total	91	7	98

Merged error: 0.0b

Counts

98 → 7

regimes55.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	10
1	10	10

end0.0ms

sample293.0ms

Algorithm

intervals

Results

172.0ms	8000×	body	80	valid
2.0ms	101×	body	80	invalid

Iter	Nodes	Cost
0	83	9
1	83	9
0	83	9
1	83	9
0	1	3
1	1	3
0	125	9
1	125	9
0	125	9
1	125	9
0	1	3
1	1	3
0	147	9
1	147	9
0	147	9
1	147	9
0	1	3
1	1	3

Iter	Nodes	Cost
0	83	9
1	83	9
0	83	9
1	83	9
0	1	3
1	1	3
0	125	9
1	125	9
0	125	9
1	125	9
0	1	3
1	1	3
0	147	9
1	147	9
0	147	9
1	147	9
0	1	3
1	1	3

Details

analyze56.0ms

sample10.0ms

simplify20.0ms

prune2.0ms

localize4.0ms

rewrite19.0ms

series176.0ms

simplify153.0ms

prune29.0ms

localize5.0ms

rewrite9.0ms

series51.0ms

simplify105.0ms

prune11.0ms

localize4.0ms

rewrite16.0ms

series111.0ms

simplify86.0ms

prune22.0ms

localize8.0ms

rewrite45.0ms

series167.0ms

simplify105.0ms

prune37.0ms

regimes55.0ms

bsearch0.0ms

simplify5.0ms

end0.0ms

sample293.0ms

Profiling

Iter	Nodes	Cost
0	83	9
1	83	9
0	83	9
1	83	9
0	1	3
1	1	3
0	125	9
1	125	9
0	125	9
1	125	9
0	1	3
1	1	3
0	147	9
1	147	9
0	147	9
1	147	9
0	1	3
1	1	3