Details

analyze4.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
75%	25%	0%	4
87.5%	12.5%	0%	5
93.7%	6.2%	0%	6
96.8%	3.1%	0%	7
98.4%	1.6%	0%	8
99.2%	0.8%	0%	9
99.6%	0.4%	0%	10
99.8%	0.2%	0%	11
99.9%	0.1%	0%	12
99.9%	0%	0%	13
99.9%	0%	0%	14

sample20.0ms

Algorithm

intervals

Results

8.0ms	75×	body	640	valid
4.0ms	131×	body	80	valid
3.0ms	34×	body	320	valid
1.0ms	16×	body	160	valid

simplify29.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (11.0ms)

Iter	Nodes	Cost
0	77	16
1	77	16

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: 14.8b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 1 (+.f64 x 1))
0.0b	(/.f64 1 (-.f64 x 1))
1.6b	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

98×	`*-un-lft-identity_binary64`
72×	`add-sqr-sqrt_binary64`
69×	`times-frac_binary64`
32×	`add-cube-cbrt_binary64`
27×	`distribute-lft-out--_binary64`
17×	`difference-of-squares_binary64`
11×	`associate-/r*_binary64` `add-exp-log_binary64`
10×	`distribute-lft-out_binary64`
7×	`add-cbrt-cube_binary64`
6×	`associate-/r/_binary64` `associate-/l*_binary64` `div-inv_binary64`
5×	`add-log-exp_binary64` `pow1_binary64`
4×	`difference-of-sqr-1_binary64` `div-exp_binary64`
3×	`insert-posit16` `flip--_binary64`
2×	`flip3--_binary64` `1-exp_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `inv-pow_binary64` `frac-2neg_binary64` `rec-exp_binary64` `pow-flip_binary64` `flip-+_binary64`
1×	`flip3-+_binary64` `sub-neg_binary64` `diff-log_binary64` `frac-sub_binary64`

Counts

3 → 127

Calls

3 calls:

7.0ms	(/.f64 1 (+.f64 x 1))
7.0ms	(/.f64 1 (-.f64 x 1))
35.0ms	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))

series1.0s

Counts

3 → 9

Calls

3 calls:

331.0ms	(/.f64 1 (+.f64 x 1))
370.0ms	(/.f64 1 (-.f64 x 1))
310.0ms	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))

Iterations

Useful iterations: 0 (8.0ms)

Iter	Nodes	Cost
0	501	850
1	501	850
0	44	274
1	44	274
0	501	850
1	501	850
0	44	274
1	44	274
0	5286	45
0	299	435
1	299	435
0	7	9
1	7	9
0	299	435
1	299	435
0	7	9
1	7	9
0	5063	42
0	299	435
1	299	435
0	6	9
1	6	9
0	299	435
1	299	435
0	6	9
1	6	9
0	4921	11
1	4921	11

simplify160.0ms

Counts

136 → 136

Iterations

Useful iterations: 0 (129.0ms)

Iter	Nodes	Cost
0	5043	2072

prune79.0ms

Filtered

77 candidates to 136 candidates (-76.6%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	135	1	136
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	136	1	137

Merged error: 0.5b

Counts

137 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

0.5b	(/.f64 -2 (+.f64 -1 (*.f64 x x)))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

9×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `times-frac_binary64`
3×	`associate-/r_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-/l_binary64`
2×	`associate-/r/_binary64`
1×	`flip3-+_binary64` `add-log-exp_binary64` `pow1_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `insert-posit16` `flip-+_binary64`

Counts

1 → 30

Calls

1 calls:

6.0ms

(/.f64 -2 (+.f64 -1 (*.f64 x x)))

series449.0ms

Counts

1 → 3

Calls

1 calls:

449.0ms

(/.f64 -2 (+.f64 -1 (*.f64 x x)))

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	349	825
1	349	825
0	24	9
1	24	9
0	349	825
1	349	825
0	24	9
1	24	9
0	5064	42

simplify110.0ms

Counts

33 → 33

Iterations

Useful iterations: 0 (89.0ms)

Iter	Nodes	Cost
0	4989	542
1	4989	542

prune28.0ms

Filtered

28 candidates to 33 candidates (-17.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	31	2	33
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	31	3	34

Merged error: 0.4b

Counts

34 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

1.0b	(cbrt.f64 -2)
16.4b	(cbrt.f64 (+.f64 -1 (*.f64 x x)))
16.4b	(cbrt.f64 (+.f64 -1 (*.f64 x x)))
16.4b	(cbrt.f64 (+.f64 -1 (*.f64 x x)))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod_binary64`
8×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
6×	`cbrt-div_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `pow1/3_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `insert-posit16`
3×	`flip3-+_binary64` `flip-+_binary64`

Counts

4 → 54

Calls

4 calls:

1.0ms	(cbrt.f64 -2)
3.0ms	(cbrt.f64 (+.f64 -1 (*.f64 x x)))
3.0ms	(cbrt.f64 (+.f64 -1 (*.f64 x x)))
3.0ms	(cbrt.f64 (+.f64 -1 (*.f64 x x)))

series1.1s

Counts

4 → 10

Calls

4 calls:

0.0ms	(cbrt.f64 -2)
369.0ms	(cbrt.f64 (+.f64 -1 (*.f64 x x)))
372.0ms	(cbrt.f64 (+.f64 -1 (*.f64 x x)))
373.0ms	(cbrt.f64 (+.f64 -1 (*.f64 x x)))

Iterations

Useful iterations: 0 (187.0ms)

Iter	Nodes	Cost
0	53	1673
1	53	1673
0	34	1608
1	34	1608
0	53	1673
1	53	1673
0	34	1608
1	34	1608
0	5620	42
0	53	1673
1	53	1673
0	34	1608
1	34	1608
0	53	1673
1	53	1673
0	34	1608
1	34	1608
0	5620	42
0	53	1673
1	53	1673
0	34	1608
1	34	1608
0	53	1673
1	53	1673
0	34	1608
1	34	1608
0	5620	42

simplify193.0ms

Counts

64 → 64

Iterations

Useful iterations: 0 (169.0ms)

Iter	Nodes	Cost
0	4816	856
1	4816	856

prune108.0ms

Filtered

59 candidates to 64 candidates (-8.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	63	1	64
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	63	4	67

Merged error: 0.4b

Counts

67 → 4

localize19.0ms

Local error

Found 4 expressions with local error:

16.4b	(cbrt.f64 (+.f64 -1 (*.f64 x x)))
16.4b	(cbrt.f64 (+.f64 -1 (*.f64 x x)))
16.4b	(cbrt.f64 (+.f64 -1 (*.f64 x x)))
16.4b	(cbrt.f64 (+.f64 -1 (*.f64 x x)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod_binary64`
8×	`cbrt-div_binary64` `*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`flip3-+_binary64` `add-log-exp_binary64` `pow1_binary64` `pow1/3_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `insert-posit16` `flip-+_binary64`

Counts

4 → 56

Calls

4 calls:

3.0ms	(cbrt.f64 (+.f64 -1 (*.f64 x x)))
3.0ms	(cbrt.f64 (+.f64 -1 (*.f64 x x)))
3.0ms	(cbrt.f64 (+.f64 -1 (*.f64 x x)))
3.0ms	(cbrt.f64 (+.f64 -1 (*.f64 x x)))

series1.5s

Counts

4 → 12

Calls

4 calls:

374.0ms	(cbrt.f64 (+.f64 -1 (*.f64 x x)))
373.0ms	(cbrt.f64 (+.f64 -1 (*.f64 x x)))
374.0ms	(cbrt.f64 (+.f64 -1 (*.f64 x x)))
371.0ms	(cbrt.f64 (+.f64 -1 (*.f64 x x)))

Iterations

Useful iterations: 0 (188.0ms)

Iter	Nodes	Cost
0	53	1673
1	53	1673
0	34	1608
1	34	1608
0	53	1673
1	53	1673
0	34	1608
1	34	1608
0	5620	42
0	53	1673
1	53	1673
0	34	1608
1	34	1608
0	53	1673
1	53	1673
0	34	1608
1	34	1608
0	5620	42
0	53	1673
1	53	1673
0	34	1608
1	34	1608
0	53	1673
1	53	1673
0	34	1608
1	34	1608
0	5620	42
0	53	1673
1	53	1673
0	34	1608
1	34	1608
0	53	1673
1	53	1673
0	34	1608
1	34	1608
0	5620	42

simplify157.0ms

Counts

68 → 68

Iterations

Useful iterations: 0 (132.0ms)

Iter	Nodes	Cost
0	4816	984
1	4816	984

prune160.0ms

Filtered

64 candidates to 68 candidates (-6.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	68	0	68
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	68	4	72

Merged error: 0.4b

Counts

72 → 4

regimes13.0ms

Accuracy

0% (0.0b remaining)

Error of 0.5b against oracle of 0.4b and baseline of 0.5b

bsearch0.0ms

simplify7.0ms

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	8	10
1	8	10

end0.0ms

sample556.0ms

Algorithm

intervals

Results

215.0ms	1948×	body	640	valid
120.0ms	4246×	body	80	valid
97.0ms	1184×	body	320	valid
34.0ms	622×	body	160	valid

Details

analyze4.0ms

sample20.0ms

simplify29.0ms

prune2.0ms

localize7.0ms

rewrite55.0ms

series1.0s

simplify160.0ms

prune79.0ms

localize6.0ms

rewrite7.0ms

series449.0ms

simplify110.0ms

prune28.0ms

localize12.0ms

rewrite12.0ms

series1.1s

simplify193.0ms

prune108.0ms

localize19.0ms

rewrite15.0ms

series1.5s

simplify157.0ms

prune160.0ms

regimes13.0ms

bsearch0.0ms

simplify7.0ms

end0.0ms

sample556.0ms

Profiling