Details

analyze33.0ms

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
25%	74.9%	0.1%	4
37.5%	62.4%	0.1%	5
62.4%	37.5%	0.1%	6
87.4%	12.5%	0.1%	7
87.4%	12.5%	0.1%	8
93.7%	6.2%	0.1%	9
93.7%	6.2%	0.1%	10
96.8%	3.1%	0.1%	11
96.8%	3.1%	0.1%	12
98.3%	1.6%	0.1%	13
98.3%	1.6%	0.1%	14

sample14.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify220.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	757	10
1	757	10

prune6.0ms

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: 0.0b

Counts

2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(/.f64 (+.f64 f n) (-.f64 n f))

rewrite228.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity_binary64`
22×	`add-sqr-sqrt_binary64`
20×	`times-frac_binary64`
12×	`add-cube-cbrt_binary64`
6×	`distribute-lft-out_binary64`
5×	`associate-/r*_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64`
4×	`associate-/l*_binary64`
3×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
2×	`associate-/l/_binary64` `associate-/r/_binary64`
1×	`flip3-+_binary64` `add-log-exp_binary64` `pow1_binary64` `flip3--_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `insert-posit16` `flip--_binary64` `flip-+_binary64`

Counts

1 → 46

Calls

1 calls:

225.0ms

(/.f64 (+.f64 f n) (-.f64 n f))

series1.2s

Counts

1 → 3

Calls

1 calls:

1.2s	(/.f64 (+.f64 f n) (-.f64 n f))

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	55390	9
0	55390	9
0	1	3
1	1	3

simplify112.0ms

Counts

49 → 49

Iterations

Useful iterations: 0 (86.0ms)

Iter	Nodes	Cost
0	4953	814
1	4953	814

prune22.0ms

Filtered

32 candidates to 49 candidates (-53.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	48	1	49
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	48	2	50

Merged error: 0.0b

Counts

50 → 2

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 1 (-.f64 n f))
0.1b	(*.f64 (/.f64 1 (-.f64 n f)) (+.f64 n f))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

43×	`add-sqr-sqrt_binary64`
39×	`*-un-lft-identity_binary64`
32×	`times-frac_binary64`
22×	`add-cube-cbrt_binary64`
21×	`associate-l_binary64`
15×	`add-exp-log_binary64`
9×	`add-cbrt-cube_binary64`
7×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
5×	`associate-/r*_binary64` `pow1_binary64`
4×	`associate-r_binary64` `associate-/r/_binary64` `prod-exp_binary64` `div-exp_binary64`
3×	`unswap-sqr_binary64` `associate-/l*_binary64`
2×	`flip3-+_binary64` `add-log-exp_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `1-exp_binary64` `cbrt-undiv_binary64` `associate-*r/_binary64` `rec-exp_binary64` `div-inv_binary64` `insert-posit16` `flip--_binary64` `flip-+_binary64` `frac-times_binary64`
1×	`pow-prod-down_binary64` `distribute-lft-out_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `clear-num_binary64` `inv-pow_binary64` `frac-2neg_binary64` `pow-flip_binary64` `associate-l/_binary64` `-commutative_binary64`

Counts

2 → 93

Calls

2 calls:

7.0ms	(/.f64 1 (-.f64 n f))
15.0ms	(*.f64 (/.f64 1 (-.f64 n f)) (+.f64 n f))

series2.0s

Counts

2 → 6

Calls

2 calls:

638.0ms	(/.f64 1 (-.f64 n f))
1.3s	(*.f64 (/.f64 1 (-.f64 n f)) (+.f64 n f))

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	30603	9
0	30603	9
0	1	3
1	1	3
0	14044	9
1	14044	9
0	14044	9
1	14044	9
0	1	3
1	1	3

simplify135.0ms

Counts

99 → 99

Iterations

Useful iterations: 0 (110.0ms)

Iter	Nodes	Cost
0	5068	1223

prune47.0ms

Filtered

62 candidates to 99 candidates (-59.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	98	3	101

Merged error: 0b

Counts

101 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 (/.f64 1 (-.f64 n f))) (cbrt.f64 (/.f64 1 (-.f64 n f))))
0.5b	(cbrt.f64 (/.f64 1 (-.f64 n f)))
0.5b	(cbrt.f64 (/.f64 1 (-.f64 n f)))
0.5b	(cbrt.f64 (/.f64 1 (-.f64 n f)))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

187×	`cbrt-prod_binary64`
157×	`add-sqr-sqrt_binary64`
145×	`*-un-lft-identity_binary64`
133×	`times-frac_binary64`
75×	`add-cube-cbrt_binary64`
32×	`swap-sqr_binary64`
27×	`distribute-lft-out--_binary64`
24×	`associate-r_binary64` `associate-l_binary64`
21×	`difference-of-squares_binary64`
16×	`unswap-sqr_binary64`
14×	`associate-/r/_binary64`
11×	`pow1_binary64`
9×	`pow1/3_binary64` `div-inv_binary64`
7×	`cbrt-div_binary64` `flip3--_binary64` `flip--_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `insert-posit16`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
1×	`cbrt-unprod_binary64` `associate-r/_binary64` `pow-plus_binary64` `prod-exp_binary64` `frac-times_binary64` `pow2_binary64` `associate-l/_binary64` `*-commutative_binary64`

Counts

4 → 211

Calls

4 calls:

31.0ms	(*.f64 (cbrt.f64 (/.f64 1 (-.f64 n f))) (cbrt.f64 (/.f64 1 (-.f64 n f))))
6.0ms	(cbrt.f64 (/.f64 1 (-.f64 n f)))
6.0ms	(cbrt.f64 (/.f64 1 (-.f64 n f)))
6.0ms	(cbrt.f64 (/.f64 1 (-.f64 n f)))

series212.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(*.f64 (cbrt.f64 (/.f64 1 (-.f64 n f))) (cbrt.f64 (/.f64 1 (-.f64 n f))))
53.0ms	(cbrt.f64 (/.f64 1 (-.f64 n f)))
54.0ms	(cbrt.f64 (/.f64 1 (-.f64 n f)))
51.0ms	(cbrt.f64 (/.f64 1 (-.f64 n f)))

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	79	9
1	79	9
0	79	9
1	79	9
0	1	3
1	1	3
0	79	9
1	79	9
0	79	9
1	79	9
0	1	3
1	1	3
0	79	9
1	79	9
0	79	9
1	79	9
0	1	3
1	1	3
0	150	9
1	150	9
0	150	9
1	150	9
0	1	3
1	1	3

simplify158.0ms

Counts

223 → 223

Iterations

Useful iterations: 0 (100.0ms)

Iter	Nodes	Cost
0	4974	4881
1	4974	4881

prune202.0ms

Filtered

135 candidates to 223 candidates (-65.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	223	0	223
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	223	3	226

Merged error: 0b

Counts

226 → 3

regimes24.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	17	10
1	17	10

end0.0ms

sample328.0ms

Algorithm

intervals

Results

201.0ms

8000×

body

valid

Iter	Nodes	Cost
0	79	9
1	79	9
0	79	9
1	79	9
0	1	3
1	1	3
0	79	9
1	79	9
0	79	9
1	79	9
0	1	3
1	1	3
0	79	9
1	79	9
0	79	9
1	79	9
0	1	3
1	1	3
0	150	9
1	150	9
0	150	9
1	150	9
0	1	3
1	1	3

Iter	Nodes	Cost
0	79	9
1	79	9
0	79	9
1	79	9
0	1	3
1	1	3
0	79	9
1	79	9
0	79	9
1	79	9
0	1	3
1	1	3
0	79	9
1	79	9
0	79	9
1	79	9
0	1	3
1	1	3
0	150	9
1	150	9
0	150	9
1	150	9
0	1	3
1	1	3

Details

analyze33.0ms

sample14.0ms

simplify220.0ms

prune6.0ms

localize6.0ms

rewrite228.0ms

series1.2s

simplify112.0ms

prune22.0ms

localize6.0ms

rewrite28.0ms

series2.0s

simplify135.0ms

prune47.0ms

localize10.0ms

rewrite66.0ms

series212.0ms

simplify158.0ms

prune202.0ms

regimes24.0ms

bsearch0.0ms

simplify6.0ms

end0.0ms

sample328.0ms

Profiling

Iter	Nodes	Cost
0	79	9
1	79	9
0	79	9
1	79	9
0	1	3
1	1	3
0	79	9
1	79	9
0	79	9
1	79	9
0	1	3
1	1	3
0	79	9
1	79	9
0	79	9
1	79	9
0	1	3
1	1	3
0	150	9
1	150	9
0	150	9
1	150	9
0	1	3
1	1	3