Details

analyze8.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	25%	25%	4
62.5%	12.5%	25%	5
68.7%	6.2%	25%	6
71.8%	3.1%	25%	7
73.4%	1.6%	25%	8
74.2%	0.8%	25%	9
74.6%	0.4%	25%	10
74.8%	0.2%	25%	11
74.9%	0.1%	25%	12
74.9%	0%	25.1%	13
74.9%	0%	25.1%	14

sample9.0ms

Algorithm

intervals

Results

5.0ms

256×

body

valid

simplify21.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (6.0ms)

Iter	Nodes	Cost
0	10	7
1	10	7

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: 0.2b

Counts

2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

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

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `associate-r_binary64` `prod-exp_binary64`
2×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
1×	`add-log-exp_binary64` `associate-l_binary64` `insert-posit16` `*-commutative_binary64`

Counts

1 → 19

Calls

1 calls:

6.0ms

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

series261.0ms

Counts

1 → 3

Calls

1 calls:

261.0ms

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

Iterations

Useful iterations: 0 (87.0ms)

Iter	Nodes	Cost
0	293	321
1	293	321
0	33	45
1	33	45
0	293	321
1	293	321
0	33	45
1	33	45
0	4762	15
1	4762	15

simplify74.0ms

Counts

22 → 22

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4971	173
1	4971	173

prune16.0ms

Filtered

14 candidates to 22 candidates (-57.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	17	5	22
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	17	6	23

Merged error: 0.0b

Counts

23 → 6

localize6.0ms

Local error

Found 4 expressions with local error:

0.2b	(.f64 x (.f64 x 3))
0.3b	(.f64 (sqrt.f64 (.f64 x (.f64 x 3))) (sqrt.f64 (.f64 x (*.f64 x 3))))
20.4b	(sqrt.f64 (.f64 x (.f64 x 3)))
20.4b	(sqrt.f64 (.f64 x (.f64 x 3)))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

148×	`pow1_binary64`
80×	`pow-prod-down_binary64`
66×	`sqrt-pow1_binary64`
17×	`pow-prod-up_binary64`
14×	`pow1/2_binary64`
11×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64` `pow-sqr_binary64`
9×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
7×	`associate-l_binary64`
6×	`sqrt-prod_binary64`
5×	`associate-r_binary64`
4×	`add-log-exp_binary64` `swap-sqr_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `insert-posit16`
2×	`*-commutative_binary64`
1×	`rem-square-sqrt_binary64` `pow-plus_binary64` `sqrt-unprod_binary64` `unswap-sqr_binary64` `pow2_binary64`

Counts

4 → 112

Calls

4 calls:

6.0ms	(.f64 x (.f64 x 3))
17.0ms	(.f64 (sqrt.f64 (.f64 x (.f64 x 3))) (sqrt.f64 (.f64 x (*.f64 x 3))))
4.0ms	(sqrt.f64 (.f64 x (.f64 x 3)))
4.0ms	(sqrt.f64 (.f64 x (.f64 x 3)))

series1.2s

Counts

4 → 12

Calls

4 calls:

268.0ms	(.f64 x (.f64 x 3))
265.0ms	(.f64 (sqrt.f64 (.f64 x (.f64 x 3))) (sqrt.f64 (.f64 x (*.f64 x 3))))
322.0ms	(sqrt.f64 (.f64 x (.f64 x 3)))
322.0ms	(sqrt.f64 (.f64 x (.f64 x 3)))

Iterations

Useful iterations: 0 (88.0ms)

Iter	Nodes	Cost
0	406	788
1	406	788
0	85	292
1	85	292
0	406	788
1	406	788
0	85	292
1	85	292
0	4338	48
1	4338	48
0	406	788
1	406	788
0	85	292
1	85	292
0	406	788
1	406	788
0	85	292
1	85	292
0	4338	48
1	4338	48
0	477	1262
1	477	1262
0	84	679
1	84	679
0	477	1262
1	477	1262
0	84	679
1	84	679
0	23	48
1	23	48
0	294	321
1	294	321
0	33	45
1	33	45
0	294	321
1	294	321
0	33	45
1	33	45
0	4762	15
1	4762	15

simplify83.0ms

Counts

124 → 124

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	46	1375
1	46	1375

prune52.0ms

Filtered

57 candidates to 124 candidates (-117.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	124	0	124
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	124	6	130

Merged error: 0.0b

Counts

130 → 6

localize7.0ms

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod_binary64`
23×	`add-sqr-sqrt_binary64`
15×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`pow1/3_binary64`
6×	`swap-sqr_binary64` `associate-r_binary64` `add-exp-log_binary64` `associate-l_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64` `insert-posit16`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 77

Calls

4 calls:

7.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

series1.9s

Counts

4 → 12

Calls

4 calls:

1.1s	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
277.0ms	(cbrt.f64 x)
275.0ms	(cbrt.f64 x)
275.0ms	(cbrt.f64 x)

Iterations

Useful iterations: 0 (152.0ms)

Iter	Nodes	Cost
0	40	1603
1	40	1603
0	42	1590
1	42	1590
0	40	1603
1	40	1603
0	42	1590
1	42	1590
0	4890	50
1	4890	50
0	40	1603
1	40	1603
0	42	1590
1	42	1590
0	40	1603
1	40	1603
0	42	1590
1	42	1590
0	4890	50
1	4890	50
0	40	1603
1	40	1603
0	42	1590
1	42	1590
0	40	1603
1	40	1603
0	42	1590
1	42	1590
0	4890	50
1	4890	50
0	111	1670
1	111	1670
0	6819	1644
0	111	1670
1	111	1670
0	6819	1644
0	4739	71
1	4739	71

simplify125.0ms

Counts

89 → 89

Iterations

Useful iterations: 0 (101.0ms)

Iter	Nodes	Cost
0	4841	750
1	4841	750

prune58.0ms

Filtered

67 candidates to 89 candidates (-32.8%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	88	1	89
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	88	7	95

Merged error: 0.0b

Counts

95 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 (cbrt.f64 x))
0.6b	(cbrt.f64 (cbrt.f64 x))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

24×	`cbrt-prod_binary64`
10×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `pow1/3_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `insert-posit16`

Counts

4 → 54

Calls

4 calls:

1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
2.0ms	(cbrt.f64 (cbrt.f64 x))
2.0ms	(cbrt.f64 (cbrt.f64 x))

series1.1s

Counts

4 → 12

Calls

4 calls:

275.0ms	(cbrt.f64 x)
274.0ms	(cbrt.f64 x)
278.0ms	(cbrt.f64 (cbrt.f64 x))
281.0ms	(cbrt.f64 (cbrt.f64 x))

Iterations

Useful iterations: 0 (153.0ms)

Iter	Nodes	Cost
0	48	1621
1	48	1621
0	47	1608
1	47	1608
0	48	1621
1	48	1621
0	47	1608
1	47	1608
0	4892	56
1	4892	56
0	48	1621
1	48	1621
0	47	1608
1	47	1608
0	48	1621
1	48	1621
0	47	1608
1	47	1608
0	4892	56
1	4892	56
0	40	1603
1	40	1603
0	42	1590
1	42	1590
0	40	1603
1	40	1603
0	42	1590
1	42	1590
0	4890	50
1	4890	50
0	40	1603
1	40	1603
0	42	1590
1	42	1590
0	40	1603
1	40	1603
0	42	1590
1	42	1590
0	4890	50
1	4890	50

simplify273.0ms

Counts

66 → 66

Iterations

Useful iterations: 0 (251.0ms)

Iter	Nodes	Cost
0	4762	622
1	4762	622

prune64.0ms

Filtered

58 candidates to 66 candidates (-13.8%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	64	2	66
Fresh	0	3	3
Picked	1	0	1
Done	0	3	3
Total	65	8	73

Merged error: 0.0b

Counts

73 → 8

regimes31.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	7
1	7	7

end0.0ms

sample213.0ms

Algorithm

intervals

Results

125.0ms	8000×	body	80	valid
0.0ms	1×	body	80	invalid

Details

analyze8.0ms

sample9.0ms

simplify21.0ms

prune2.0ms

localize3.0ms

rewrite7.0ms

series261.0ms

simplify74.0ms

prune16.0ms

localize6.0ms

rewrite38.0ms

series1.2s

simplify83.0ms

prune52.0ms

localize7.0ms

rewrite13.0ms

series1.9s

simplify125.0ms

prune58.0ms

localize11.0ms

rewrite8.0ms

series1.1s

simplify273.0ms

prune64.0ms

regimes31.0ms

bsearch0.0ms

simplify6.0ms

end0.0ms

sample213.0ms

Profiling