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
62.5%	37.5%	0%	4
81.2%	18.7%	0%	5
90.6%	9.4%	0%	6
95.3%	4.7%	0%	7
97.6%	2.3%	0%	8
98.8%	1.2%	0%	9
99.4%	0.6%	0%	10
99.7%	0.3%	0%	11
99.8%	0.1%	0%	12
99.9%	0.1%	0%	13
99.9%	0%	0%	14

sample16.0ms

Algorithm

intervals

Results

5.0ms	61×	body	640	valid
3.0ms	137×	body	80	valid
3.0ms	39×	body	320	valid
1.0ms	19×	body	160	valid

simplify23.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (10.0ms)

Iter	Nodes	Cost
0	74	13
1	74	13

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: 14.6b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 1 (+.f64 x 1))
2.5b	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 70

Calls

2 calls:

10.0ms	(/.f64 1 (+.f64 x 1))
22.0ms	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))

series675.0ms

Counts

2 → 6

Calls

2 calls:

326.0ms	(/.f64 1 (+.f64 x 1))
349.0ms	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))

Iterations

Useful iterations: 0 (8.0ms)

Iter	Nodes	Cost
0	456	765
1	456	765
0	6	9
1	6	9
0	456	765
1	456	765
0	6	9
1	6	9
0	4947	36
1	4947	36
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

simplify175.0ms

Counts

76 → 76

Iterations

Useful iterations: 0 (151.0ms)

Iter	Nodes	Cost
0	4834	1153
1	4834	1153

prune44.0ms

Filtered

48 candidates to 76 candidates (-58.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	75	1	76
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	75	2	77

Merged error: 0.3b

Counts

77 → 2

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b	(*.f64 x (+.f64 1 x))
0.3b	(/.f64 -1 (*.f64 x (+.f64 1 x)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 48

Calls

2 calls:

7.0ms	(*.f64 x (+.f64 1 x))
8.0ms	(/.f64 -1 (*.f64 x (+.f64 1 x)))

series544.0ms

Counts

2 → 6

Calls

2 calls:

177.0ms	(*.f64 x (+.f64 1 x))
367.0ms	(/.f64 -1 (*.f64 x (+.f64 1 x)))

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	444	849
1	444	849
0	76	282
1	76	282
0	444	849
1	444	849
0	76	282
1	76	282
0	4951	39
1	4951	39
0	227	213
1	227	213
0	19	33
1	19	33
0	227	213
1	227	213
0	19	33
1	19	33
0	24	3
1	24	3

simplify151.0ms

Counts

54 → 54

Iterations

Useful iterations: 0 (131.0ms)

Iter	Nodes	Cost
0	4877	535
1	4877	535

prune40.0ms

Filtered

41 candidates to 54 candidates (-31.7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	50	4	54
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	50	6	56

Merged error: 0.0b

Counts

56 → 6

localize4.0ms

Local error

Found 1 expressions with local error:

0.1b	(/.f64 (/.f64 -1 x) (+.f64 1 x))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

97×	`times-frac_binary64`
78×	`*-un-lft-identity_binary64`
50×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
14×	`distribute-lft-out_binary64`
13×	`associate-/l*_binary64`
6×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `div-inv_binary64`
4×	`associate-/r*_binary64`
3×	`cbrt-undiv_binary64` `div-exp_binary64`
2×	`associate-/r/_binary64`
1×	`flip3-+_binary64` `associate-/l/_binary64` `add-log-exp_binary64` `pow1_binary64` `clear-num_binary64` `frac-2neg_binary64` `insert-posit16` `flip-+_binary64`

Counts

1 → 87

Calls

1 calls:

10.0ms

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

series419.0ms

Counts

1 → 3

Calls

1 calls:

419.0ms

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

Iterations

Useful iterations: 0 (8.0ms)

Iter	Nodes	Cost
0	516	901
1	516	901
0	10	9
1	10	9
0	516	901
1	516	901
0	10	9
1	10	9
0	5063	42

simplify157.0ms

Counts

90 → 90

Iterations

Useful iterations: 0 (129.0ms)

Iter	Nodes	Cost
0	5143	1852

prune66.0ms

Filtered

65 candidates to 90 candidates (-38.5%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	89	1	90
Fresh	1	2	3
Picked	0	1	1
Done	0	2	2
Total	90	6	96

Merged error: 0b

Counts

96 → 6

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (cbrt.f64 -1) (+.f64 x 1))
0.1b	(/.f64 x (/.f64 (cbrt.f64 -1) (+.f64 x 1)))
0.3b	(/.f64 (*.f64 (cbrt.f64 -1) (cbrt.f64 -1)) (/.f64 x (/.f64 (cbrt.f64 -1) (+.f64 x 1))))

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

629×	`times-frac_binary64`
397×	`*-un-lft-identity_binary64`
263×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
135×	`cbrt-prod_binary64`
129×	`associate-/r*_binary64`
67×	`distribute-lft-out_binary64`
31×	`add-exp-log_binary64`
26×	`associate-/r/_binary64`
21×	`add-cbrt-cube_binary64`
16×	`cbrt-undiv_binary64` `div-exp_binary64`
15×	`div-inv_binary64`
11×	`flip3-+_binary64` `flip-+_binary64`
10×	`associate-/l*_binary64`
3×	`add-log-exp_binary64` `pow1_binary64` `cbrt-unprod_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64` `insert-posit16`

Counts

3 → 403

Calls

3 calls:

7.0ms	(/.f64 (cbrt.f64 -1) (+.f64 x 1))
13.0ms	(/.f64 x (/.f64 (cbrt.f64 -1) (+.f64 x 1)))
28.0ms	(/.f64 (*.f64 (cbrt.f64 -1) (cbrt.f64 -1)) (/.f64 x (/.f64 (cbrt.f64 -1) (+.f64 x 1))))

series1.8s

Counts

3 → 9

Calls

3 calls:

501.0ms	(/.f64 (cbrt.f64 -1) (+.f64 x 1))
530.0ms	(/.f64 x (/.f64 (cbrt.f64 -1) (+.f64 x 1)))
758.0ms	(/.f64 (*.f64 (cbrt.f64 -1) (cbrt.f64 -1)) (/.f64 x (/.f64 (cbrt.f64 -1) (+.f64 x 1))))

Iterations

Useful iterations: 0 (358.0ms)

Iter	Nodes	Cost
0	784	1793
1	784	1793
0	5887	1701
0	784	1793
1	784	1793
0	5887	1701
0	4926	6
1	4926	6
0	559	1703
1	559	1703
0	5358	1638
0	559	1703
1	559	1703
0	5358	1638
0	4909	15
1	4909	15
0	373	1654
1	373	1654
0	4818	1637
1	4818	1637
0	373	1654
1	373	1654
0	4818	1637
1	4818	1637
0	4853	60
1	4853	60

simplify240.0ms

Counts

412 → 412

Iterations

Useful iterations: 0 (138.0ms)

Iter	Nodes	Cost
0	4948	10975
1	4948	10975

prune534.0ms

Filtered

304 candidates to 412 candidates (-35.5%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	412	0	412
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	412	6	418

Merged error: 0b

Counts

418 → 6

regimes27.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	10
1	10	10

end0.0ms

sample477.0ms

Algorithm

intervals

Results

176.0ms	1949×	body	640	valid
99.0ms	4232×	body	80	valid
82.0ms	1210×	body	320	valid
29.0ms	609×	body	160	valid
0.0ms	1×	body	80	invalid

Details

analyze4.0ms

sample16.0ms

simplify23.0ms

prune2.0ms

localize5.0ms

rewrite36.0ms

series675.0ms

simplify175.0ms

prune44.0ms

localize4.0ms

rewrite17.0ms

series544.0ms

simplify151.0ms

prune40.0ms

localize4.0ms

rewrite16.0ms

series419.0ms

simplify157.0ms

prune66.0ms

localize9.0ms

rewrite90.0ms

series1.8s

simplify240.0ms

prune534.0ms

regimes27.0ms

bsearch0.0ms

simplify5.0ms

end0.0ms

sample477.0ms

Profiling