Details

analyze1.0s

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
25%	74.9%	0.1%	3
25%	74.9%	0.1%	4
25%	74.9%	0.1%	5
31.2%	68.6%	0.1%	6
32.8%	67.1%	0.1%	7
34.3%	65.5%	0.1%	8
38.2%	61.2%	0.5%	9
39.6%	53%	7.4%	10
40.3%	52.4%	7.4%	11
41.6%	49.6%	8.8%	12
42%	39.9%	18.1%	13
42.3%	39.6%	18.2%	14

sample42.0ms

Algorithm

intervals

Results

16.0ms	256×	body	80	valid
8.0ms	100×	body	80	invalid
2.0ms	56×	body	80	nan

simplify280.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (264.0ms)

Iter	Nodes	Cost
0	4724	19
1	4724	19

prune4.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 2.0b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(*.f64 k (+.f64 k 10))
0.0b	(*.f64 a (pow.f64 k m))
2.0b	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 k (+.f64 k 10))))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-exp-log_binary64`
17×	`add-sqr-sqrt_binary64`
12×	`*-un-lft-identity_binary64` `add-cbrt-cube_binary64`
11×	`associate-r_binary64`
10×	`add-cube-cbrt_binary64`
7×	`prod-exp_binary64`
6×	`associate-l_binary64`
5×	`pow1_binary64`
4×	`unswap-sqr_binary64` `unpow-prod-down_binary64` `div-exp_binary64`
3×	`associate-/r*_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `times-frac_binary64` `insert-posit16`
2×	`pow-to-exp_binary64` `flip3-+_binary64` `cbrt-undiv_binary64` `associate-r/_binary64` `sqr-pow_binary64` `associate-/r/_binary64` `flip-+_binary64` `pow-exp_binary64` `-commutative_binary64`
1×	`pow-prod-down_binary64` `distribute-lft-out_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l*_binary64` `div-inv_binary64`

Counts

3 → 76

Calls

3 calls:

8.0ms	(*.f64 k (+.f64 k 10))
7.0ms	(*.f64 a (pow.f64 k m))
9.0ms	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 k (+.f64 k 10))))

series994.0ms

Counts

3 → 9

Calls

3 calls:

226.0ms	(*.f64 k (+.f64 k 10))
252.0ms	(*.f64 a (pow.f64 k m))
516.0ms	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 k (+.f64 k 10))))

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	1275	908
1	1275	908
0	1275	908
1	1275	908
0	1	3
1	1	3
0	722	287
1	722	287
0	722	287
1	722	287
0	1	3
1	1	3
0	305	313
1	305	313
0	305	313
1	305	313
0	5063	18

simplify125.0ms

Counts

85 → 85

Iterations

Useful iterations: 0 (100.0ms)

Iter	Nodes	Cost
0	5006	1117

prune70.0ms

Filtered

59 candidates to 85 candidates (-44.1%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	79	6	85
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	80	6	86

Merged error: 2.0b

Counts

86 → 6

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (+.f64 1 (*.f64 k (+.f64 k 10))) (pow.f64 k m))
0.0b	(*.f64 k (+.f64 k 10))
2.0b	(/.f64 a (/.f64 (+.f64 1 (*.f64 k (+.f64 k 10))) (pow.f64 k m)))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

180×	`times-frac_binary64`
105×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
103×	`add-cube-cbrt_binary64`
48×	`unpow-prod-down_binary64`
32×	`associate-/r*_binary64`
20×	`add-exp-log_binary64`
16×	`sqr-pow_binary64`
12×	`add-cbrt-cube_binary64`
10×	`div-exp_binary64`
6×	`associate-/l*_binary64` `div-inv_binary64`
5×	`pow1_binary64`
4×	`associate-r_binary64` `cbrt-undiv_binary64`
3×	`add-log-exp_binary64` `associate-l_binary64` `insert-posit16`
2×	`pow-to-exp_binary64` `flip3-+_binary64` `associate-/l/_binary64` `associate-*r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `flip-+_binary64` `pow-exp_binary64`
1×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `distribute-lft-in_binary64` `associate-/r/_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `*-commutative_binary64`

Counts

3 → 193

Calls

3 calls:

9.0ms	(/.f64 (+.f64 1 (*.f64 k (+.f64 k 10))) (pow.f64 k m))
8.0ms	(*.f64 k (+.f64 k 10))
13.0ms	(/.f64 a (/.f64 (+.f64 1 (*.f64 k (+.f64 k 10))) (pow.f64 k m)))

series1.3s

Counts

3 → 9

Calls

3 calls:

277.0ms	(/.f64 (+.f64 1 (*.f64 k (+.f64 k 10))) (pow.f64 k m))
228.0ms	(*.f64 k (+.f64 k 10))
763.0ms	(/.f64 a (/.f64 (+.f64 1 (*.f64 k (+.f64 k 10))) (pow.f64 k m)))

Iterations

Useful iterations: 0 (6.0ms)

Iter	Nodes	Cost
0	2016	72
1	2016	72
0	2016	72
1	2016	72
0	1	3
1	1	3
0	305	313
1	305	313
0	305	313
1	305	313
0	5063	18
0	863	989
1	863	989
0	863	989
1	863	989
0	1	3
1	1	3

simplify144.0ms

Counts

202 → 202

Iterations

Useful iterations: 0 (80.0ms)

Iter	Nodes	Cost
0	5182	6098

prune191.0ms

Filtered

154 candidates to 202 candidates (-31.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	202	0	202
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	202	6	208

Merged error: 2.0b

Counts

208 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(*.f64 k (+.f64 k 10))
0.1b	(.f64 (/.f64 a (sqrt.f64 (+.f64 1 (.f64 k (+.f64 k 10))))) (/.f64 (pow.f64 k m) (sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))))
15.7b	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))
15.7b	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

120×	`add-sqr-sqrt_binary64`
92×	`times-frac_binary64`
52×	`associate-r_binary64` `sqrt-prod_binary64`
50×	`*-un-lft-identity_binary64`
48×	`add-cube-cbrt_binary64`
30×	`add-exp-log_binary64`
27×	`associate-l_binary64`
24×	`unpow-prod-down_binary64`
22×	`unswap-sqr_binary64`
18×	`add-cbrt-cube_binary64`
12×	`sqr-pow_binary64`
10×	`pow1_binary64` `div-exp_binary64`
9×	`prod-exp_binary64`
8×	`sqrt-div_binary64`
5×	`flip3-+_binary64` `cbrt-unprod_binary64` `flip-+_binary64`
4×	`add-log-exp_binary64` `cbrt-undiv_binary64` `associate-/r/_binary64` `insert-posit16`
3×	`associate-*r/_binary64`
2×	`pow-to-exp_binary64` `pow-prod-down_binary64` `pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `div-inv_binary64` `pow-exp_binary64` `*-commutative_binary64`
1×	`distribute-lft-out_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `frac-times_binary64` `associate-*l/_binary64`

Counts

4 → 174

Calls

4 calls:

8.0ms	(*.f64 k (+.f64 k 10))
46.0ms	(.f64 (/.f64 a (sqrt.f64 (+.f64 1 (.f64 k (+.f64 k 10))))) (/.f64 (pow.f64 k m) (sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))))
4.0ms	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))
4.0ms	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))

series1.5s

Counts

4 → 12

Calls

4 calls:

226.0ms	(*.f64 k (+.f64 k 10))
637.0ms	(.f64 (/.f64 a (sqrt.f64 (+.f64 1 (.f64 k (+.f64 k 10))))) (/.f64 (pow.f64 k m) (sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))))
312.0ms	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))
312.0ms	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	546	920
1	546	920
0	546	920
1	546	920
0	5549	15
0	546	920
1	546	920
0	546	920
1	546	920
0	5549	15
0	1608	1439
1	1608	1439
0	1608	1439
1	1608	1439
0	1	3
1	1	3
0	305	313
1	305	313
0	305	313
1	305	313
0	5063	18

simplify135.0ms

Counts

186 → 186

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	5408	5613

prune195.0ms

Filtered

119 candidates to 186 candidates (-56.3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	185	1	186
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	185	7	192

Merged error: 2.0b

Counts

192 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(*.f64 a (pow.f64 k m))
0.1b	(/.f64 (/.f64 (.f64 a (pow.f64 k m)) (sqrt.f64 (+.f64 1 (.f64 k (+.f64 k 10))))) (sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10)))))
15.7b	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))
15.7b	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

114×	`times-frac_binary64`
66×	`sqrt-prod_binary64`
63×	`add-sqr-sqrt_binary64`
56×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
25×	`add-exp-log_binary64`
20×	`sqrt-div_binary64`
16×	`associate-/r/_binary64`
15×	`add-cbrt-cube_binary64`
12×	`associate-/l*_binary64`
10×	`flip3-+_binary64` `flip-+_binary64`
9×	`div-exp_binary64`
8×	`div-inv_binary64`
7×	`associate-r_binary64`
6×	`associate-/r*_binary64` `pow1_binary64` `prod-exp_binary64`
5×	`cbrt-undiv_binary64`
4×	`add-log-exp_binary64` `unpow-prod-down_binary64` `insert-posit16`
3×	`associate-l_binary64` `unswap-sqr_binary64`
2×	`pow-to-exp_binary64` `pow1/2_binary64` `cbrt-unprod_binary64` `sqr-pow_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `pow-exp_binary64`
1×	`associate-/l/_binary64` `clear-num_binary64` `frac-2neg_binary64` `*-commutative_binary64`

Counts

4 → 170

Calls

4 calls:

7.0ms	(*.f64 a (pow.f64 k m))
18.0ms	(/.f64 (/.f64 (.f64 a (pow.f64 k m)) (sqrt.f64 (+.f64 1 (.f64 k (+.f64 k 10))))) (sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10)))))
4.0ms	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))
4.0ms	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))

series1.9s

Counts

4 → 12

Calls

4 calls:

253.0ms	(*.f64 a (pow.f64 k m))
984.0ms	(/.f64 (/.f64 (.f64 a (pow.f64 k m)) (sqrt.f64 (+.f64 1 (.f64 k (+.f64 k 10))))) (sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10)))))
310.0ms	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))
309.0ms	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	546	920
1	546	920
0	546	920
1	546	920
0	5549	15
0	546	920
1	546	920
0	546	920
1	546	920
0	5549	15
0	2529	1278
1	2529	1278
0	2529	1278
1	2529	1278
0	1	3
1	1	3
0	722	287
1	722	287
0	722	287
1	722	287
0	1	3
1	1	3

simplify135.0ms

Counts

182 → 182

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4982	6408
1	4982	6408

prune178.0ms

Filtered

109 candidates to 182 candidates (-67.0%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	181	1	182
Fresh	1	3	4
Picked	0	1	1
Done	0	2	2
Total	182	7	189

Merged error: 2.0b

Counts

189 → 7

regimes55.0ms

Accuracy

0% (0.0b remaining)

Error of 1.9b against oracle of 1.9b and baseline of 1.9b

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	17	19
1	17	19

end0.0ms

sample1.2s

Algorithm

intervals

Results

510.0ms	8000×	body	80	valid
262.0ms	3298×	body	80	invalid
94.0ms	2066×	body	80	nan

Details

analyze1.0s

sample42.0ms

simplify280.0ms

prune4.0ms

localize9.0ms

rewrite27.0ms

series994.0ms

simplify125.0ms

prune70.0ms

localize9.0ms

rewrite42.0ms

series1.3s

simplify144.0ms

prune191.0ms

localize13.0ms

rewrite73.0ms

series1.5s

simplify135.0ms

prune195.0ms

localize11.0ms

rewrite42.0ms

series1.9s

simplify135.0ms

prune178.0ms

regimes55.0ms

bsearch0.0ms

simplify6.0ms

end0.0ms

sample1.2s

Profiling